{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" }, "toc": "true" }, "source": [ "# Table of Contents\n", "

1  Quick demonstration of GNU Octave
1.1  Some basic plotting
1.2  Some basic linear algebra
1.3  3D plotting
1.4  Conclusion
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Quick demonstration of GNU Octave\n", "In a Jupyter Notebook\n", "\n", "> - This [Jupyter Notebook](http://jupyter.org/) was written by [Lilian Besson](https://github.com/Naereen/).\n", "> - It uses the unofficial [Octave kernel for Jupyter](https://github.com/calysto/octave_kernel) by [@Calysto](https://github.com/calysto/)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "----\n", "## Some basic plotting\n", "\n", "Let show some basic use of GNU Octave for computations, and plotting." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N = 100\n", "Number of values N =100\n", "h = 0.010000\n", "Step h = 0.01\n" ] } ], "source": [ "% Some variables\n", "N = 100\n", "disp(['Number of values N =', num2str(N)])\n", "h = 1 / N\n", "disp(['Step h = ', num2str(h)])" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ans = 629\n", "ans = 629\n", "ans = 629\n" ] } ], "source": [ "% Some arrays\n", "t = 0 : h : 2*pi;\n", "x = cos(t);\n", "y = sin(t);\n", "length(t)\n", "length(x)\n", "length(y)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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jKS7myBH27OHGG7HZehebtAlr9mxqarj5Zm64gRUr9BeHuVSiRYFHROjCXWFh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\nS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = figure();\n", "hold on\n", "grid on\n", "plot(t, x, 'r*-')\n", "plot(t, y, 'b+-')\n", "legend('cos(t)', 'sin(t)')\n", "title('Cosinus and sinus on [0, 2 \\pi]')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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6HibreXWO01uiQyDNjjsGsP25PTuTNPV9TcDBmkZubvhNK24E0kwlyXLA5LbW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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = figure();\n", "plot(x, y);\n", "title('sin(t) as function of cos(t)')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "----\n", "## Some basic linear algebra\n", "\n", "We can also easily work with matrices and showcase a little bit of linear algebra." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a =\n", "\n", " 1 0 1\n", " 0 1 1\n", " 1 1 0\n", "\n" ] } ], "source": [ "a = [[1 0 1]; [0 1 1]; [1 1 0]]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ans =\n", "\n", " 1 0 1\n", " 0 1 1\n", " 1 1 0\n", "\n" ] } ], "source": [ "a' # a transpose" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "b =\n", "\n", " 12 11 12\n", " 11 12 12\n", " 12 12 11\n", "\n" ] } ], "source": [ "b = 1 + a^5" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "``eig`` gives the eigen values:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Test of notes." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "l_a =\n", "\n", " -1.00000\n", " 1.00000\n", " 2.00000\n", "\n", "l_b =\n", "\n", " -1.00000\n", " 1.00000\n", " 35.00000\n", "\n" ] } ], "source": [ "l_a = eig(a)\n", "l_b = eig(b)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ua =\n", "\n", " -5.7735e-01 4.0825e-01 -7.0711e-01\n", " -5.7735e-01 -8.1650e-01 -7.8505e-17\n", " -5.7735e-01 4.0825e-01 7.0711e-01\n", "\n", "Sa =\n", "\n", "Diagonal Matrix\n", "\n", " 2.00000 0 0\n", " 0 1.00000 0\n", " 0 0 1.00000\n", "\n", "Va =\n", "\n", " -0.57735 0.81650 -0.00000\n", " -0.57735 -0.40825 0.70711\n", " -0.57735 -0.40825 -0.70711\n", "\n" ] } ], "source": [ "[Ua, Sa, Va] = svd(a)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ub =\n", "\n", " -5.7735e-01 4.0825e-01 -7.0711e-01\n", " -5.7735e-01 -8.1650e-01 -1.6098e-15\n", " -5.7735e-01 4.0825e-01 7.0711e-01\n", "\n", "Sb =\n", "\n", "Diagonal Matrix\n", "\n", " 35.00000 0 0\n", " 0 1.00000 0\n", " 0 0 1.00000\n", "\n", "Vb =\n", "\n", " -0.57735 0.81650 -0.00000\n", " -0.57735 -0.40825 0.70711\n", " -0.57735 -0.40825 -0.70711\n", "\n" ] } ], "source": [ "\n", "[Ub, Sb, Vb] = svd(b)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "----\n", "\n", "## 3D plotting\n", "\n", "Some basic 3D plotting:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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JbTU1zYcPQ0mJv4+PLCkpbONGD3xrV0C0OeIidLbjHPFFixZNEEG6imcggnQl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INI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\n/D+WI+bjHx7O+gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = linspace(-2, 2, 50);\n", "y = linspace(-2, 2, 50);\n", "[xx,yy] = meshgrid(x, y);\n", "mesh(xx, yy, 4 - (xx.^2 + yy.^2))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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4fYMZD81tVyg6D+zm+PqzpzxsOHJI2FHvOX4S8csZZ1sLTehpamlhW61MNlvw\n+OPe27f3wSf1J1CN+B0iCGLNmjUsFmvGjBkDrUYcBdIdIRcfpFIpBbep9w3yHSDngtCH3972ceO6\nzp+z02h2Hx9w5bE8sPb6BiHTSR8xrqG2wY1h9ZmX1lDbbFY1i7W40cW9RaU2qNvC3a1ukiB9bHLj\nzRqhtyjepQMGJ4NZX3L4V7PBHBdC5w4bC4MnNNs9Tq1d67RbQzhdo99fBxFSACBwvOjzT3lN16QZ\n75rcQ6rytrjrqsTSwcWyPVqtzTlqrmP42Glz5xI4XrR1a1hinMRU2sSW4IU/G1WNsY8+agqWVhcW\nJi2az7u0FxImg0QK52WqE0eP/VoXNHU2i8eDTrW/pUYSGag8fdJ16Divl2/fOTAShPKf8/393N3T\nXoSGisriyxyj01l2IWT+0zAzHQRYnVxu3rkudHAUc+lqsx1urF0dRlMJxk6CR9OrPlsvPHHIK3VB\nHder5e2VLpibPjaRc7xQ4OZKU6lBq3YarRwGw0Uqxc6e7ZsP7n/q7kZIqViibB/xrKys69evZ2Zm\nDu3XOW5fQoH0Z7q/P0Cxr1DfIKdB3WuSffzbicGDdeXldiYDfLxNpk6hp0jDFQj8PXyfeqr22k1+\nfUkA09AkDG6ubY0I4QuY5qaQCc2XFBFvZAou7oUJaVeOnG4rLhZ6uTPrr3GS5tSfPsfBsMSXlgqv\n7oUpSwBA8cXnalyZFG7hsdkG78iWkuvN7dZWqzAoMlg6zBdS0sEVI2OYfuZk5e4vPeLiZ637iFt5\nDPgYGAhITCUObDl94HhrFyspIyPqkUcAAFpwOPwpNJdcVrLM4Q9hEgmB4wDAwzAJZtH8sIXFZwfO\nWwqTb5fDVezYyDqbF/r48zA53VivbP72s7KCX53tLdFJwy63cSKGj3KPiCj+6EMvAY3phkFYgs1k\nqv/11yAvviuf6Z0yGf/xqL6qJjLY1cx2NdiYTnVHmCfda+K4pgYDu6GWJ+SpLALtLyfYERHuHI6z\nvt7aRjDMJkFcPHb8OK1fL6q6n53Yj8fw36jZry8nJ6ejo0MsFg+EGnEUSP+pb7p5Uhl5y7f75ffx\nO+BQKnWTJ5mUtUYGnesltLphWEyofvgEW/H5YH5njVVgtdhCYnzMXoEVdVa/yZP9WYRZ1VB6ReWR\nmChOkMDJ/XU+o+rOXohfskSoUkAr3hKUUrl/f8T8+S1HvtOelwunPqGqUgKXm7hkCXZLBl4SSEwl\npzsiLzdB5VG63cgMHdRitfoMmXL9vJKnVSXGc7FnX2Fn0AAAIABJREFUs40WOJOdLQoLk6anl332\nbtOP34gGiaWpU2BUuuIbGQBI09PhZC4YiLJOCSHfY9W2O+icYe9vxSQSaMPh5FbwCmuu19ivHfF+\naA57+qtNCkWzQqFramo+st+fq/GKHMR7eIVk9twWhaJy/35vQXNEXCyZi2cyMkKHxwXcOAAcO0Qk\nnfn6qDgxLtBVD4mz9L7Siq1bB0+IYulaO2On3nj/Q765zcXLvcs1qL2gIC4pxm3k2AbZIYYa15u5\n0Njm7i6gt3TQzTa+h8j1xq1+jKXu/dFUi6Xu5RBKffcHSI04CqT/+98BICUlZWAWanc/Xqh/t9x3\nRoR3VVfTeByGgGMfPtpp7bS0Neg67X5Dw7T1bRqXAPepk2nFhU01uk6LI2Bqsk/7xYqKLktHW9TY\nMKNKZeWIGq3CMGl4sD8bqs+bPCRF14w+gwLCB7Gg7hrwvVo8Rlf+fBK8JGA2CLtuhr+e7fQUK3Jz\nASDuqTTVzhUdsY+NnfP05by80m3bvAPcH5LaeHw7DJkLgVIIlBoJ4kx2dt2RvYmPTUpYvR0AwEDA\ndRl0VHc11/6Yq2AGRAkjYhKXLMHIU6hG0fDZK0x7u++jr8GEdABoUihqT5+u2P9NoJczdMJ4v4hg\nnkkFMZMLdxVGjo4LtpVCzGSISTERxHdLl05ZvtT7xl7Q10L0xJKjFyFEGj99JJQXwoQlJflyAIgf\nJYFrheaR8yvyjwWMGSG6WQARiTW3CLqlK5ijAunka5/mCR16utlooLnSlaXOccOtV6oEFTeZTDZd\nrWVabJzgYMExOa1fy7pQjfidI2vEPT09s7Ky+vtYesWADqTe7uZJfd0bhqC/O+kZIyLs1dUWHtvp\n72Pk0OwWs8Ad2p0it+de9OV31p25Dj6BwSOCur7bWKP1FD823cXWqr9eVNGCiZ9b7DHlETiaU1JY\nZWaJPBMT9TgOJUdr8S5WeMyEDRu4GAa/5pi8RxTlFQjdmfGPTIR6BSj2WIemHd+wT9fayJgyZdSk\nCVhrOXfuaqMFyHySPpXW/G1WtdKa+Pq7mERiPL1DkbcfrEbpMOAt2F72q6KpqCgpM5OHYUaCUKxa\nYNQZw4YPYjvV9ab40Znv3X5VV3LBRFRWMG9s3yAMi7RgsWEzZktSUgBAsXaFQF8SMT4MYlMhNAXg\nt9+bJIHyQlPC/KLc9zUXbpkM1hGvr6g7sIMbMdIpDLi1Z4946lTALwKLS+hZ9NZW3+Rkgb7SFeOX\n/FLOYjEkYfyO6kaayMfY1DpkYoRLZ12dzosZEuXvYu2sr6g+WS/AOF1YkKu5y9UD65SfcrGYuSYb\nJziAIz8J4n6uNibPRqpdDlKzRvzFF1+cP3/+g1cjPuACqbe7eVIf2ciVOld/trhIc1W1ncM0CIQM\nvs3EdXOfOslm0BNs36ApiabcD9oMbn4zJvD8PGp+OgZJj4vT06FaUfLWP2HY9PiMDADQf7GkosQk\nXvyyh1QKXYR+Z2ZFNVf85DNqHNfiuOny90bwxIaPj0tP52JYw4VDrtVHFNqE5pMnx2dmBg8devOt\nOYyuRk/pELysQ92oTlr1Lk/gBtf2w8RM4GOnsrKUv/4aPG7cqDkJPEMFhKaAUg4mtUky/+i7G7R4\nxaBojvTN9bzQoQAARkLz88fEFblfyuNcW0tZbRDR2gUAYVOm3Nyzc+QILl8kAq8IqLsA4ZPLrhEE\njielSUFZ2GKNb601tJWW6ivKPDztPvx2jcBz+Pv5JXkyAIhPT4cLuWAgTFFpRZ9uSczM5NoIyH/T\n4qCVFCjjXpjPsWpBdUNpHWzlekWkp8PRHLWytfaKlsFmupmUXQY6UUPELnsGo9XWyCu8XU36Kry+\nWOXlQscGx9pv1dob27h2C1eayDx9qV/PBYpWPVCzX59Sqdy5c2dVVdXGjRsfmHGM6oFEXrzfydv9\nJ4FErsIpFAqymekD8+H9LeRtZGo9NeCNV6ybNloYTKMbnxEWTHMFQ0SyKwbN3x3gDwrlcyxtVW1O\niZQjlthuXtHUNLBHjQ9ITdWfPla5a1fI4qW+IS4uIf43//0+iEfEPzcbGorAair58nsInxi/7BkA\ngE6V/vjXFY3RnhMeuvz9976+vjyPNh6Xq24UBE+eHEyeLVdygYfVNWIXP/hAGB4+MiND2P4d4D9D\nxBSj01tRUAtMnjQ9/czyuf7SYbErbvczxeXy6r0bw/yaBF7s0ibpxOxPf/+ymnYvl3+8L1QaHPfs\nK1jS091/X/jqkrhYrV+QCwSNhNj0FoWibNeutuLigDFjgsWWYO86cAs0scRFR1WJmZkXLp5IdqsA\nTFLXiLUqFIkZGWAg4GimRac+faBu7OJpXOnDUCG3GY2XDjVJc3I4GAYnc7sqS29W8qQ5OVCjsJ/5\nuvykJvKjDex6hf3SjxU/1/HCI+jVF42Eke4XHj49XlepapOfYGpanYTZXcB1NLZzLVb+4/Ngx74+\nOwX+CDWrHn6/oNLfx3IbQRCffvppUlIS+Z8UnGL+LZQOJJlMBr89p+4vu/b+dyCR1zXk/cn7+kO6\nO+Qd4/6qTfgLq1Y4N22yWOw2X3eLpyczNlL1ywW3oeHMzmZtg8Ft9UcuPm7N//7A77M9PImkbfl0\nY0NLcPrjAND402FDfXv4iwutHhGaSxeqd+Q5Eya7RsYAAJuu61TIIz7YIyA/69J8xZqVHcyQsctm\nVV4qGDTucdeKvLMHmw0G5+D0RT5TFwMXg18ztPwxJfnnuvOpZPXT2vq28Jc+rDx2DExq6QQuD8Og\nrgASMpra3Mr272fzeBajMWzyZAm/EIImg5vEWvp1w6mj/PFvucWMV3yWDS0X/ac+L3nkaUVursBx\nI2IwG4ImQ1AKXMkBgIsn2apz5zwCRFzLLe+kGcELVpoI4uyKZWPne3MHJYEOBwBTaHpRdnbXqFFT\n584FpRyUhe2Owdc2b41OkQJAZ5tJU16i0fEiFy9jCQSga+48/k1tiVa8cIlLUJDllkJ1ME/bao/7\n1xo2hnEub9ZVN3g/n8lmg/1MfmuJ0vP511jtlZrDR7Q1DpavH5OoswYOpgm1psOXfAx6Os0OKh2L\nx2Bu2gmPPdF/5wcAVWdLFKwRp1TXtHtE6UDqlpGRkZOT8+f/hvxUyJOY7OaZ3t+9JvsLeXVJfo2p\nlUMAUKeExBibyWLz9TSB3eoXyrY22O2u7m+/RXy/F8ISPVZltf0z1VhXF7zoUaveUP/l11hyMrZq\nh4UgKl9+wntEtNfy9QDQdji/NS87dkcB8DAAqFi3SnvpGDdxHgCodDrPKHHXT1/B7OVJTz1F/tqW\n/asqTzfEr3hXKJG0HPpId/VnF1ZLU5Mvx90t/uVV4C0FALiSA4EpJQcV17/8MmrBAumKFWAmoDwb\nBi2Fuv11p6/UXTMbHT7i8aPCQ29C7BIQ3h4otTj+6zNTuO7G5GUP8Wbkdb/WJoWibP/+8Y96OSv3\nVNYkgPcoAHAPD68tKEjKyYF6OdT8CA6TiRVVetoSnpoqlEhAi0PZVi1rzP701dEPPcR1YwoZN1uu\nlHvExqibvQa/9ZZAIgEjAeezK+Q1Ho+t9CCHxQu5tQcOuKY87eFlABNhK5K34e3MACl4RWhOyW14\nGXPwY5yAAGYXbr15QZS6ROAvsP6ap1E0YY8/QXz5pVGpcx+b6HCjdZW3C/RqRn0rw2RkcDmsy+UQ\n0v+3KGQymUQioU4AkKhTI44Cqe/I5fLCwsK0tLT/eTqS9Tnkn8l/RrXbj32D3DDUfU+4378hf2hU\nhPNGlYnDgQBvp8nEeWJS15kiZuor7GkzWtNT3WdNYHm5Nn+zRxAd7pr5jWr7dtOpPeKsday4iRqF\nonHj2vBlC9nD5wJA2T9fccfaA/61GwDMBFH6r1c9xPqqocskEgmO437nj6p+PuQ9ezEHwyLS0wGg\naFkyeAxOXPvZ7cMwE3W5T5Wd4fF8AySzZwdHArQpoO57rSOq5DQ3/Kl0H6lUi+MlG94LHwk+T+6q\nk8vrCguDJ08OHimBsveI8gtVtcnxr2ZzMYws0RaGhcWPq25pCmk9dzJ+lhh8J4Pf7QGiLHthyf6T\nEc+8GjM1hGu6AIOWgEBC/l9JL4RBZzVw/cBhhkHpR55ZSqPTBcHBXJHI27eTYTjadskZNH2aR1oW\nAECrwlb6dVURJ2rlR7dfxQ2Zas/H7Akvi3y7QFsNWpXq4kX2xI9EEx4GAOv1fP1Pn4reOgEAYCA0\n705jTVnuMvkp4vs8zaeZzNiZnJAwpvaGvakaW/8D/cIu408/WDV8Z+U1q9lOC8dcy7UcLUG3GiE2\nGo6X9eEp8r+R032g2GwJfrsn3b/DDgqkPkUQRG5ubkZGxp//swfpU7kT3V/R3m6q3TPeWQKbtgGD\nZsO8bL4MoLkwV76tW7eOPWmq/fpJorjUc8FMbZtb56kToqVPMiOTOg8ftt341X3hEhrmp/nxm84r\nJ4JmRxiNHBvdr+nIr9FpXoIZL4Ob5MpheXtB4YTFI9ReY/xspWadqXTnL+IRDI+pCwDAYPavyttb\nWaAY9eF7AXOWkAdiUimL3pjjM/3V8AXPAQAZNiGD1S1KEUfkFz8zADpxsKiB7wN010v725RHj45e\nvfr2DadmGVgJCE633thwfcuWtjph2ILXw+ekwI0MiM4BFmYiiKLs7BEvjDLeLCg50splE+HPrxYO\nTj6TkRGeluYjlUJZDgCAxwjTrYNnt9fHv/p23bFjYDNCx8Wgh5IrT6vD09J8IjCo2lrWaI8NY1Qc\nrPGY8ts0CMB2drXqwnWvRds4fICqXOhqapPns0avcp94+9WpPhzJH7nQ7aFlAGBpVuo2z3dbtIUt\nHgoAHW8kuySO5T6eBQCaN0aykxcyoqd15u/q2v8VO+Uprr+Ie+N7+oJsemOZYU0Wyw2zMjpYrcBT\nE8BxwrLX4c0P+/SE+QO/bxdCHf3br+9BGvrug0ACgJycHBRIpO6mkHC/dNK7cRUeHQ2EBdzdID7c\nWN8MkSOcHSpLwy3+E1NNNSamN5f/3m6NTGYp3O79zvtgJZreft892sqflAqGZvzbW17D+YK5/wRv\naZtMRlwv8hkDhefY/IoKVkODi78wZuEE91kZANChUNTs+izuMXfOhNslBiVrMjjGXyLmjmwp1Tm1\nFVhicgtuqCuUJ358hOv720qUlWjKW3p1bzs/Om7U6tVccnKpyjXVXivdXwYA8a+vv7xhb/ySJUKe\ngkwjLY6XbN0aPHmyofaiB/cnr3AbDDsGzNuz0jq5/NyqVUFJYWOfMgIWAb5LgCsBgP/LJOW7Lafy\nKy/72xiRbQrF7B9/vP1Lm+XQ9GPtmSJucLLP3Kzb53OzrPnIdvaQ98lMapLLDYpdtQe+G/TM/PYa\nN2Bw/SZPrlv/Ek+AMUPGkwdA/LJHEOLFHJTiEhbG9vLSfP4q2ztIOGGivuiyRVmBRfN8nnwGTGrt\nL79y3bWcca/bbDzDppW0yMEWu8QoP8wJjPdY+75j3VKbINF5scCi73QxmehaPd3DFb4/BdFD+uzE\n+RM4jpN3cai2GNAv/foepKGP0oGUk5PT/ViduyhqeGCQtQlk8whKr8j9t8dHQJECBEJgMCE4xFZS\n53xsjL1CyQzg0tce1a561SUS2OkbWv/1Ett0xX3WZBsNaz1403t+FHPUq8Ymonnr1qC0KFbQYIIl\nKV65UhDqHzuBZo55xQWgMjs7YEq8u29jY7nEgOOqY8cECeIhT3vC0Bwg1/Gys8XDVR6TXwbh7enF\n8bmzje1FyZ+/yxdoyb8xQ3Rp1tt+aav9p801EURpbq5QIgkfR1T+qGipck/MzORiGDTLQFPUcOpH\nrXVa4IyXSrZuFYaFxZO3J1W5LWUEfrxp9FJ/AKg8L2kpKgqePDk4Dj/z/vfhz2X5SKWgygVTNRlL\nl977p+ZaAT80yWdUSvh0CbTvN/Pml+w8RtajgyoXbAQAtJdct3u/VkIQIyWSDoVCX1lmurEH3IYK\ng1iu/hyPMTNBOIQ4MN/3iU3dL6169cKAkcB9aANwMACoyHw2JLKEI30KbBarzkCcOO09OQjG7gKA\nG0885uqGO4MfsemM1rrrfEej9+pdDF9xZ9Y0wczHGAHDunJesjRZwDWYpa7ijE4Gthtt30GbG43Z\n0cq0O2HcaNh5uo9Poj/S/cQTSi0P9H2N+IM09FE6kOC3CcE9ln3fp8jLQDKSqXZH96+d+glemgtG\nAHcB0HgQHAlEhfPpx8y/VrMfn2bzHd312Sphot5kDer45YbrUBFzSKr+SoOlutpjDED4fBtboJTJ\nAp6JV9vcy3DrsJs3vR6ZJuBegmEZGoWicf/+8PRpbF0BDM2xEERldnbAnGnWa1talWKXsDAHj0eU\nlsbNNXGinyGHbD2OV2z+NG6+hpOwoWK7TF9dHZeZ2XzsYMexd+NeeYIjEgETA89UYGK3Nr1U9lXB\niH9/GThx4v+9lpYMk3ms4qMcg6p1/Bf7OT5DAQDaZWAjwDfdRBA/zJrlMzQ8aqrTRzoULM3gmQau\n0kqZzEQQZHRVbnlSW3mZ4zOE454CABHd5TaqXLARxTvLomdj3MhXgCvR43jz4W0tJ/c2mcLiHnsi\neMIEgUQCqtyG3Vnuo2a6jt1E/n9mgmiTPR84bRoE3/5RN956JXR0PdfXDfjRwMYq91RLZpsYkmdA\nKLUSROu2DwMm0SAmEzgYnpERMErFGfsyeEvV2zY6b8rs3AQHQ2S5cMhjRoLLyzsNX6ximhUwIavr\ntcf4nV2cGaPgagkwQm2VRXSzETh0+hcHILmfnwH4e9TcUdtnlesP0tBH9UC6cw/Gp9L9yHMAoEIB\nz12aGwm3qoDLB7YLDE+AlnbgGewvf2POWMoYxAFjp6m1nRkltPLn2FtbGVEmRsjozuJGdkgIj3lW\nqfFjlZab9R0+sXVsLFRXZe2qbPJ+LMXN8xoralJjwU2rziSe6wudVYAlacpUjadM4f+Yxdbmgv8s\nYGK3Pt5l6GQI/Bp95nwiSHgEACpyc80dTfGpTSDOIRfW9ErlybTHsHDD2LzzwMAAAEw4aOQV27YC\nSxjy/LbSj7b4TZ7sT55O7TmVhS7auq649HQAqN8zPzBpCI9fCb6rwFVK3oKKmD+/7tix8EenCJkf\nAdcbuLGApQNA8fr1zcePu0WFhqdofMY8C10F4DK54lscfp9JTa+A/uLxd+xY9Ey70ciNimIOGXLy\n8uWRsFsYNNLiIY7wriUnWDc+WCh+CHiJG8hXYSaIuq/fCZ/Ch5Cl0F4IXdWVuxtCFw1nugWAZyoA\nVObkiB/1ZnGsEJxuJYjGdavFT/qDbwp4SPGMDL9JIl4ABrHpGpmMzznNjhln80jRLJrDYHYxEmbZ\n21pcg0tZy36w7stlHNlDD5sAxd9AeAScrrSCkWE30GPiYF9J359Zf4SaVQ/d/fp6dWHjwRj6SCiQ\nKAHHcblcnpqa2gePuetdp3+Ef84DqwNcRCB0hRHRcKEZ+BwwMG3MSnqK2KYZTAuQsGLUFk5a1/79\n2OJE4HlWrvq3xyR/LlZcow1y/1XtnpbGFxPA8yIqJHqFIjgjw3pmoaY+uW7DFk58vEga5zVGyUr4\ntFEmsxKEeFEq1GTAoNzbU6W0NPcQOTjcW06e6axtbL2kinh+ukfQaRBvBf5QAGiSy5uP/Rj3rMbC\nerXiq73itDQPqVSP4xVfvBax+DlB+HjQycBS3XrVWv+LPXCqo/Jnevjjz/j87jq36L3koIcGm9Ut\ndacheNri2/UORsWZN5aFP7fJRyoFC66/mlOxR8P2HeY5NNBcu1+8aOft5OuUQ1dh1U++TLdA8SxJ\nzTdrOirFJjNEPerffPNAOfvFyXPmAACGYWeP54nxj0SD/S7qXgwOTQAAiURy9V+vRM7S8OJe7mrF\nDDjeclSmKy7wGkyz0EZ7z3y+tbBQc+aM22ChQMx1kS4DgIaPPhJIXOi2JvBIpjGZhrNneWEgiAvU\nV1kNt8p8pG7YeG+mf2TTpyc8JnA5Xk4Hc6hm5yX3OSKbjqPdrXR1qphPvUqPH0E7lUWP+wdsyARv\nV+hqhE67Q08Aj6545sPhi/7ZD6fZH5PL5QRB/OUKfx/r1X599/XQ9x9QIPUP8mqOnNSnpKSQS+H9\nfVD37IV4uFIGLlwYPx3KzgMWCbdaYU4MVLdBMBNmzDTtVbFS4hkuJZ1X/UB7Qxd6icMb1v6TkjNp\npnhCsM3i2bqpwGPJEo4HAQa87QxYCcI/PR2qc6yCtOYd+7GUFEGCxHguk7gpbTlwgBkTE/nOO2xt\nNgRmaq7hbXJ5SHo6G2TAlQJPSq7scXx9zXV7xcs+cvFpBQte8tkJQYireKoR/PLIhCjJyWk9fz4o\nxSciPR3Yv1tdMRdfe3smUW9N/EDmGpr8f3+vz9E3Rp18YZ3PxInD/zUBzIXACAO6FLrk4JlRlJPj\nERWlPndOEBYWsUACmg+AHd5Rn67HcfHvhkh90cqKvO+aL9Njs74srKxMSUmRSCRgJ9oOzxWOepft\nMQSI3BsVqugx66++/UrkPA0v4uXr35V3XL4cGhdXt2+fTyJfNNjBDwp0iUnR1Era5PLwdAwYGLil\nWglCmZER8ckS0MjBN92qh/rsbEnmdKj8F4gmGW7ZjEVFHmmRwA2A0IzahQtdR4ntVSfBe7ruu++8\nJg52GcekJ2UTGRmi53g08RzLrh+cNXIwOh2tHGaolvXUP+BECRRfAzcu6HBo1jsdBl1wmGPzJUqd\nvd2zJQquMfTG6uL9NfT9Ocbq1av7+xh6xn3RpZsgiObmZoVCwePxeDxed0EOj8fr70O7N9VX4Ylg\naGoHfz8QuEJ9PYx7EurPw5MSKMPgoTjn4CHmAyrO0wmmlk0tuSX2GFej2OKuCe28wAvK2izyqbLp\n7a1fXvDOzGS7NEPTfnxLkzApyXP2bLiRYeVMUL63OSgzkyeRQN1q8H9Vd14RsHixz5w5tTlz1ZXh\nDft/Aocj7JVXGNafwGkCwexGmUyrUEStXi2KPeg9e0vT96eUO8/UnzOFL13jM14DzBiwHAHLFbPG\n2vxrSdAUDlFuFERO4/w2eHUoFDc+fTHmzaODnv6g+aclDNpPHHcM6Bh0flbyhdHYSh/9xRdcofDG\nxh/9Z+WAswDM60H4lL4G1GfOtF+44PfQQ2HPPAN0ObjGAZfH98HtFml1Xp5PUtLZrKyqb7czOErn\ntIeip9ksNbSUZ1fcHjTpPKb3I80H5rp472H4fHat0pWL46aOzrJPzluqTvuE2WJf+7QaQDw/oPXY\nT6GL5nJD3EGYyg2QMHg8lbzZPY4H+p8YHiluSUmNW2TCKemgXMawnnaNdq9dtw97Zhs4L7BiF9ud\nMZ3XWPxRSdD0qeuc94m8fP/1X7m47xdlfm06X+4AH7PsfZrHIM2/5fzBHqyJgx2GwfRAJuelZ+xF\nXMa+XcDVQKAAMDp0BQDdQBO4cFvrOfn/vsD0arXQ/P39+/Mk/A2PxyOj6OzZs1QbFsgeZvDbbo0e\n+ZlUe433As2Qeh1ZdUNWyj2YnfQyJkLRSeB7gNkMPkEQ4g4gAlsXTJ8EOytgbCicPdTa1MQe7clk\n0E0/8TmzZrEGe1jLrxjOqoSvvgpdFZ15eaZaG3/JAqemgMVrbZN3eKaOFk6ZBy2b9TX8tqNtkreT\ngR0GnUetxoj6z04ELR/F8ksCzW7gC+s26x1cV+CZAQaJnxkCbqmVOTnuUqlXSgroMoCbBmxpm1ze\n+N13LqGh7oOveE39EOgSINfuCvKGvt1AY3Fo3LUl6+TkRtqSnBxB8HXx/I1Au/1JVeTm8jyv2nQ/\nqUvD41Z99/vcqtm7Svrho2Z9asWWleCsjM/cDnRJRW4u2AsilqwCuhQAwElUKhY1fdVVf+Rm1JZV\niSk4sDLJH9525lGHxcXnod+aO1gyOmuDrr7+ldswF2VjWNKSV8hq78qcHPFzI1j2L8HFCzizW5vC\nzqxY8dD29e7MLcBfAkxJTW4uC8MCZklAtx/c5usvfNd2QC754HWAIuCm6UuAkMuDMzKgJQPc0jry\nFDyplB+LQbvMxk1rXbfF//1MqMqGkCUdr2Zj779JV37owJaZ3ltHd+mgiTwcZm/WpHCmqBY4aXDi\nC6hQg9oCEaXgGgPnrkJ0HFw/AzYLTJ6nSMmgYON8ytaIk8l071UPlB367gIKpN7S/chzCvaI7DGd\nBCwMBI0ZPNwBGBA9HWgnocYbwgZby8stBrCPt3D0alpjJPvLI84zC82H3DlvrabRcUvhZ12XfbE3\nJwPxg+WSouu0AHs9AfhRNtXPzRvd/HJyjAqF8ewOa0uLptQSun49XyqFrlx9Cb8tv0RCNpHqygWm\nBH+n0CstTRAPYC831X/acYbTuKc6dv1yl1Avp6OJxpkNbGlNbi4AiNPTwZbb9qut9Zfa8MzMkuxs\nj8TE4FSRE5QMeAEcCrDtb/65tnzdzZFfTXENf7M7jQDARCjPvjDJaQpP+XEz2LYCPQyY6QAANpmZ\naPhl7gH/lJToV17hYBjYcsFR7XC2Ve30a2vnc6dNi8CwY2++KRk9OuapEJvpo/YLgSHzZL9/C2u/\nW+UeWcbzW9S0/wtgTAca32vy5LqdG3hPqcRhK8lIs6iV5Svnx3z4MFuoA+YSoEssBFGyejX2yiuW\n9teihrwNbOmNFSu4boRTWwpOApv1ccs3Bw2Vle7jxoH1GlPkQeMOtV++zBaLwXQN6EJznY0bFeW0\ndAriqsxdE0236gNzXoGbbzrYYZ3729yeFUHtCYc1wHLAwH39YftJmfU7O9fDE8aKIHQm1BSBuBO+\nqgUog/nzoOBLMHuCSQsdreDOh111ils49PfTTP4bGUuUGiKgh/r1UW3ouxcokHoSuTFCIpEMiE56\nP34C2zPAwgQXNxg3HK40QKi681aE3mZjxJixZoZt0UiesgmKgyE7x3nlXdOmGu6Hq2nWQ5bjuywN\noa5PjgTBiM4vs+khL/BTUwHAVvWuWkYTLX2AEs8GAAAgAElEQVSFiWFgVHRszgLXaR7p6QaFQvPt\n2q7SWqd4RMTWrQAAFoW19ZRyzY3QnBwWhoGTAGu2viSNkMuFU6Y07N3rOdnTa1yjTeOs3VbhNWmQ\ne+Ij4MSBJgFGiqa4+Ory5eLnnw9+LsEJVxjwAvlqanJzrQQR8OIPuis2t+iFfJ/bj4uukcl0+M74\njG8sBJRmZ8dlZnKEBNi2Wmgd7ceHNf9SG7F0acmHH5L9th2gqVH9E0w6b+/BZ19vZpaXBy1YQBbU\nOeCAAxqNqmv6W4H+E97rfhcbZbLabz/wGN0esvhzLjaH/EsLQciXLp2xexIAAE0C9kJL59LaL/eH\nZ2SAJQMYk9uOQ/MPP9hqa31nzmwq+dovwc509+26wA5atYWFYWDJAGZa01cKgVQqkEqhKxfoWEce\nwZNK+VIpELlgrWvdrBQ9OQjsGuPFk8ZrDLhK544bQnfrsKoE9iq95/ffQ02GvS3eUcNhjVGD7lf4\ntAUiA+B8Ieg8IGEQTPcHYhScyQOHDwjbwNkOZytA4ASwwJwVsPDj/m1e8EeouXUJ7q1GnApDX09B\ngdQDutss3vc1cnfulXCow4HBhsAhZk4DU+nsxLjOTj/39GiovAnq0bAiE754FgKegtRU55lHLT+0\nsJ9JoYmwzl27wWOxa3o6AHR+NA7cnyb/bPhlueaIzv/fuwAA7IRm+7N250wPMtQtio6tG4Azji2V\nEnI5ONR8caWhbqRfejqLXISxZOivT2uTFZCTJwdcaZVvbdqmc1gsg7/6io1hVseXDsdRJnNGm/xy\nRyHE5mxtlee1FG6KzDzCxrDu8jym9AgHHmZBgnJLhue0BoYwsjy7IziN5iV9lwa3K60VGRnSnBw9\nIaveKveczA9KWcSG8beKi2+tXRv57quuod/4uX1kxNU1W3N4YXUcT6m1PVicnm6Dt+gwjw7DAEBT\nscVE/OLq9Vaz7BgA+KTWuEoW38jYF5zuyQ+jMeB18g3+edOmCKYl6IVrRmeXCyPXRjgbdu9W7dvn\nNWsWOC56PTTSfWQGIZcbqw77L2LrTEPo7Mvffh2VXFQUkZsLAGDLBZoEf6vQb8kSnkQCFgWY9je9\nd8tjYQRHTAOg2+2BLdl1/uR0U5dhOMpkDnqULZWCTmbY9Sscb2GMHAnEUac9gOafyHnxEWiXwbcA\nz6VB+xb4oBSsbRBLgHAQ+PDgFgvOn4Ylz8BPW8HmBGsXBIZCTgX8Vj5KtYszaj6k/K6f6Y4CiYr6\n+FPp3jBEwXWA3tWmhMxYMFjNfn40DcPBb7M7R7hM9YYjlfCEFM5WQ+xSmJECKx8BugDG2+FKmemq\nB3P5xwBgfWuhOTzJ9bnFAKDPWkwb9Sh30nS2VGq6nqs5eN5//UEAAIuide1811lL+IlDAMDpUGn2\nfMb0nSeYNAxoEgDMcPrV2lXVLrNnC6RSLCUFLBlNO9yA5uWfng4ATiAcsM2gmNi2fz9TJAIAv4xp\nZvjBFd6uyc1lYSzfVLsDVCYoZWrfwj/YzQ8JMdTWxubkmOAHBoSwIIF8lSWvvdZefiWxwA9Awod0\nBoSQf28miPPzH3IbPXLY6i0KhULdeWToSJO+dZqvIOhSxsND38yr3/KtS1iYOD0dAOzwlfriT/pq\nm3jBGjKNAKBNLr/18fvY8I6ote874SID3iDTriwjI/ytJ+jC/eTfFF1ZF6iuaj/KYnt7GtS/uIXN\n8El53EEQeoXCPz0dHAq7dQ2DFtW03SIY/pRAKnXAFQd8dyJ/uKigwD0jQyKRgC0XAPBV1UFvjGK5\nXXDaO+0cZ+ubAu/MTCaGgUNha89t/bd7dybpvlTx577LlEiAyLWdOg0uC5kpKY6ijfZPD7FE0cCh\nwTgNHANYswHUuXCWDWw+nNsO7WyY4gMBWvi6BsIDgGGGukrQESDgQlYpeIUCVR9wB9SuEb/z9woF\nEhX1zafS3Qn/QapsuXM1eW8Fn8xxdrGsnkJuhxmmzgJONNB3w80wWLwW3lwE3FiQukNRHrgEwsxl\nwAY48ANsKAAA2P4kcAbDkxkAYFmfxhgmYSRKrBWX7VfKjKdx7sNj6K5qYA5r2/8DtjDt/7H33oFR\nVWn/+Gd6zczcSZ/0CQkJoQQmNAkQIJEOiiSii2Aj2BB1lYkNg66aUVTASrDQFEjo0gmdQIAMJKS3\nSUivc6dn+v3+cSW77/t7d9fddd2sPz9/Ze49ufecc59zPud5znOeRzRuOgAwiNZXn5MvzhKOEdEV\n6D2tYZh4sowUQNbfdM5467bhWH/wU2qZKp0JGQA3XuvODQCEND85yKbGnEfkE17qKSoKyciQqVQA\nevChHJkuXGjVfGa3GMXRDwc+KmdAyscCALTCFJCWZiF+NOe5Rmq+6McOD5oEWNZ2Ttd9+JPuyWNx\nvPmep56S3V3JWpFrxn7jhvHt3x8bl5cnuptV2gNjL9Zaq3t8qPv949Pb8vMNxcUBaWn+qal1uW9x\n04p8ohbLsWKgeyvU6pisLCbxYa/2Ws0OhiI4zdPTE/LQQz4qlRWfcjCKiyntubkiVSxLdYmFIR7U\nC7GqSf1+WFYWhyAokB683l+S3nj0imvWrDEqpdfzTr/1ascq36BHXgBAweyxH7Lkef2XLQPAHc3y\nWLeaTkz6SRPtzzd9cUT8+AYmQYDMde3bx5r+JVOpRGcu9u/DQ7tRV4LcVWgW49k/IrYYRzqR/hbI\nbXjvGOKiMZ2HsyXwOmATwZ+LKi3gxoNvY94bdOsGs16CwecjPhCo5e/OM78T0mDEv+mrDOTj+ved\naxvkGJhHWO+N8TE2MRhB8LFDPhJCNgRS9FeiyA+jVKj/EQkjkTERR/ci4Bnc/xiu7MSer7HxPABs\nXYkID1S+YMjta/dy7gtlTXgWvFRP8Tlv3dech76n39W7cqqXI+OI4jjR0VyVqifvZVnGCyLVQvpu\nR+7jLIQGZL5N/3ShtEP9Oi9iTr9bK5s7ghPNcuBUj9rsl7GAUD1O85MF7zB08+ueWiOKj4/ZuBF3\n2chLeltycvwzMkSq6M47r5Et1yOTN4lwz09xibKybMQpPhI8OmF7fr40I8NoMOg2rAhIZQc/8ECQ\n8BUAFWo1zXAeGBsKnrWflhArJeKApDsvnRqm0XAJwgNjL9b74WUWpMV/nOm2GOMyP6c5zIzjADo1\nt+VzRnhHVMiRyYIUgOnWrYrHlgseCvVLTWkR2ibGZwPQqdU03/RjBwAvDK3qQ5FZX/OISC8MNnwq\nxKr6zDVKjaZfq3Xoyr04aTrcKxwts4i9nsYwZzDHV9FEXYuQLVkCgILZa8yliqIEMxcBgLfWsvtD\nhmeKYN48R3ExK6DeW3pdNGMMM3o4a2iX88RxzpTFjKD56N6DM7eQPBdCA9pP41sRwvzQ2ojAGDy/\nHR05OHwHDAmsFeAPR/xNHG7GSCXqK2CzYPhIvFTyl+JEp2wYbHMobfMYbNrSz6Gl3wlpMOKX/Sr0\nLDx409z9+0HbDf68L/1HIZxOOHmQyTF8ATpPwSKG2Q5mGP70Fb6dg5DpmPsu9mRhyGSMX4ob57Bz\nHT78CI4C7D+GcGDSx+Cq7GtWchbZWRO2AXDl58O9k7NkK+3SZtA8L0gP5ilfpSvQMWe0OyZKmDBL\nnJrKUyp789d50RuQ/il910U2deZmBmfuYRMEgPbcXLLiAMsuDsnMEqr8nLjohcGMK5Q2vj/PqtRo\nXCTZkpMjygiRqqa7tI6evDx6lrejrRsHgsg/VH+XCZ6TzQkcmvmhGSeaavsl7CkkSeqbmyWbNglH\njgzInsYg4IYZQAAWsiGpUKv9Zk1uPvFeUNLKsPTlAOwoN9gP9G3silO/q0euHJn6ghvdp09HrlzZ\nuf1T/lMs36BHXWjxwCTDg7irEhmJr625vd4GMKPBTxfacmxKjebCtW+Hje+juYrmJIqw9OE9FvwC\n8A59xaLVkqdPe+W3OPxRziMlQWq1KDXJhk9tuObYFBIwT81TKkmSbOk8KbPtIchnfVJTAVAg7VWL\nGF3P81PuB+Cltll//JNowsNMmR2sNFfLSW9FC4v3pEerBa+bce0Ud/RSzEhF+CVcuohF++ElUbMU\nN1OxaAq+XoqTPZilwjgHzlhw/1rsX49qF56OxYlS9PeA7UKnHv5caGz/S8AKCgoGQmT9CvL8MzE4\n09Tib/qI/05IgxH/+lehVyJarVan0w22hdKvgwEapueIn8ZkWwk2JKGfgcAQyKNgt8JUB0Yqpsbi\n6g0sm4GTP2DM2xi9ELteQqgAk17GlfXYsw3vPgn+fHzyI6Y2YsI2AHa1mnN/J81GztxceE5w7x7W\nMWqyBZlGLvEJXROjRi3MFHGItW6SNObnW/d8z3pAEvLMj/RdN0k2q9PCNHs5RCR9xUoWdqrXioKT\nOSEhtAGqGwfNude4kIoyfT0wcBDOgrw7N9/2Y4fv/Pm0Qc8NUzu2h+M5mq4s9fV99yfFLHV0GhvQ\nmJmUOBlAs0bDCQgwVRcSWfMCiPvo/+rGITZ8qHxj3XvquI+/9ps27y+7sdP2YeONs0Ncf+w+fZo2\n0NHXdWp1/1vNAuEM5V3XPhdJls6f75eaKl4WblFWyZAkw4Nmrdas1VYqldNSx9Ks5iW9DTmZAZp7\n5VjRV3CoW7uZ1z/SeqYwcsMGH5UKgBWfOm9anA114vTRAjzChKwHH9o31Yc9v5l+UWPzJRSv1TGe\nn3H//QA8aLIWTefEzeHKEhkY4zXIDVee8ZtzjC7svLicERHBiXgbACp2ovUSWOm4qUXdQXjNWLUN\nI5UoXgDe2xg1Dc2r8UMLGDHwnITdjccfwO1jOC1COCCKhL4ArSZw3IADai1C/0f2in96G//fjf8u\nH/HfCWkw4p/+KvQUTFulBtuy6FcAbT8ZMFb87+Xq0RdxbgPYPEiHoNeAGD90e7HkO9zZiMvX8eJn\nOJ2PqMkIuAefvwrpVUwdhus9ONaKNevBCMbmDQjrwpzXcLPWnZ/vnsEBNY6VlOw5f545gst98h4P\ne5wHdyyaH9iZfVxikRv1XrLfnnOJm+VhE7PZGMWEzKz+ypXRIzCvsh4v9ElLE6hU7TmPBGSp+cRk\nuo5O8k5LzqMRWfvZBOHQ6fo2b+ZljOsqOBSsWkbcFQkLalvwlUfTxgn15dz2odWjZnymwLKbOw+z\nL12SPPXUrfr6Ubrr3lTfIapnunHIpet2bW4NWbnKq3T2oQAa64BfX79O17J5vSmjNVy1xqL+kX4a\n/SIXzI26rZ5Npd28ikTNdiliBvqyFt941NcCXl/ZJykJ1o3t2fw9PzqaSEvr+OortyZWimFGVEYh\ngwOf9tzcSrc79ZlnAHThXQvZ4l3vdd7u8ElOJlJThaoheuQKSsY5rtf8mX1xlDrhVfg/I7w7ueut\n31m/KRrgJC8MnSfm1snHJwwPAiARzum89lLI+HzaWmgvOW8zfCZP2UsXtu+bw01bw5SkAMC+16Fk\nYvQ7AHBlJa63gjEFVD+oHXi0AEQUypejcxjGZmLnYtzoxMsvwv4DioCObhgFmOWLk5dBMGGzYNpK\nzP3y/yuEtLY02JxUB62P+P9aNP9OSIMR/9BXobNaDERP+LdWbBDi526MfTkKLeUQisCOh6ECyX9A\nZRHuXQnjMdzuxbg/YVcOvFbck4S+yxhiw4zjKCdx4B2sfQ6sVBzKR2gJRi8CU4UstXtRNyNJCuZw\nfLHb2+q0zellWkYzPaGOQyXQpAqJ2XwM95IkqVZ7NCG+xAv0REmq1eYMk1Q1iw1/Gwq9t63Gj3cw\nXlXxhk6RYhwPIV5tZ0fey5Gag3R5AG6YqqaMloyaE/HpXfsezA3kd8LcfiI1laMKIq0Xem4c0Psz\nQnxeZOy/1tvTM+Hdd+liLTjOzzUA4BCEVVfJVSv70ceGJAKPA2jWaIIzMztycwHY1X5RyDChvg83\nORs6Qpc/yyEIF8xVuX+UkdHharVZq60zf+OfMi8McwDU4ptATBGSftXLlvGHDbFG90VlvilFjAvm\nWu0HogJOpHqtC+ZG5AViihQxZx98cGxWVveNo2RDIV8eIkyfKC3wcJVKn7tC3oMPvfvt7IhhVlWH\nL1JFiOvGQcO+fcrpm9h3P2j37Q+8VmvQxHUeGI3I6995wtRRI495jUkJLl68mKaKM5q3BMa8yYQI\ngL3wlCe6Qbp0H/2/9p33c5e++ZNz4MbleDQF0scAYM9MzJgNvxdw6xy+y4DiYcxdhr7XwV+ACc+g\ncjkOmyEIQ2g12OPAzsfRHiy4F9pb8HbAaUFwBJ7R/Z/iNjj1ksHvi0EnS/tP1+iXwWAnpJ8f8enn\nEFJubu5AJNPBtur5FUCr/AOj6+907Ic+MPeD7QOOPyg9HsjH4RcxLhoVRug6MGIZPG2IuYHE+3DW\ngvBmJG5AqQ4HN+H1YeCocSjfHXaOMYoCK5qxpcgzRu5W+QvwLrRa3NT2rDD64xUADo3Gc2+U49Qe\nETHT29ZmKS/nfP0gmwgV4R4ApFpNZQyjVKG+mAHAqdWa83b2aYYHF0SYT58WLp3e79T15G3hax5l\nI0iKGF+MdpNkU+5TYZkfgPT0bd7su3IlT6msJjdBfSta83HL3cmlhSoSXj5MXW2RLp6jTH2eAx8A\ntfiGVlBq772XM3581DvvACjCx1JEA4jHwn6drnLJEqVG0zNNR9MG7tKYfsfBUPG81qIdCSs/F9wV\nLbNW21d70fmQxA5bPB5163o6Nm8WxMX1V1crNZoWHPPA7gQZhQxLwbV+nY42JOqQxyvQN285J6i7\nJdy7Kla5CkALjnEg9qqP/uS0DQCowjLvJtPQR74buKI3n9Uf2hka9LBbp/OSJABj72Fvv4UrCpak\nPc2CyHHtfO/o2og5X7MhKSgoGNpYQqWWBumfZJIuAO6v1rtSRJyWIaykJHdBAYNxkaEM8o5JQOp4\n5lcbvStn8RijvdB683d57h8lwB/Q2udpf4cpXMI4dhnNdVTqDMbifFyaBf4C3HHi2hdIegbjS7D/\nKlwOiIJhrIXNAB8Rskx/W0oHmx2PpiUMvjTNBQUFN2/eHDPmp0MFgzAv1D+EQU1Iv0jG2AGn/oE8\nQ/+/Aj28B2ySP4vdjY3YEgMrE5QA4aGw8jFrPXYsRPQomOLhKcXzJ7B7GZStGHcWe/LhOYGHX4dJ\niQ3Z1Gvwckcwtp2g4LIv9xFhJ/LzvUp/m+qSGG9Cq4VOp083iDGLizCHRsPKXEISef54hSJJu1rt\njQ92OstFxExuZiapVvMy5vSqysLxHACnVmvNy+vRxNKcAaBPozEdzmMdWRNOPAjAiDoDebNP/T5H\nc5+CWOiL0QC6NZo+VNcWNYqefSM1NZXeJtRD10leleXcZkkkCJFaHw1ww2xG70g8wyDdHWp1sEbT\nr9PZdbr2dFc8FnAhtqCrKv89ts42Wr2lQvNUUOaTvkTSQIe5SLJu02ut3uuqdft8EfmXfdmem9tG\n3GGnRrBzS32JUTTl0LtE/MzUGhySQRmNGVyIe/LzOX5+nro6R0ODI0NRHlE7gZXhyjn20zkhwIi6\nLlwUZF4Ly82l/45CRrflsungwdCg9H6tlkUQHpK0dZUhyhy56hC91wXAtO+M6IEMWlEDYMl+qftV\nSTjvJTYkAPRZz9Q+1hsT+KGvLMIDo3Pdw4a3AiQYA4Cbr7cPFfC6CW4jhZ4eV/VOREdzUl7AKFX/\npcfY89dxMIoqOuBRbGaF72KA8LwXzJCGMxNGwHIWkamI1+DTZHBSkdiCOwx0XgSEYDBhbAUXeKYW\nsij8FZAkSY/oQaWX4K6Ff1D5iP+WTHaDOtq33W6fP3++SqXavn17Wlra3y78vw4G5ebm0kY5Oqg2\ngEESivjXgVartdvtOp3ObrcnJCQIBAKlUvmzYoo3HMHOifDwwREjfhy6zAgLwNkNSHgcSWtQ+yUe\nTcah/WDqMfMo9uSDqsKDcyizL7XtOfuaLiZrAnO7nomRtuVSMTYiPx9KpVV1RohVDG0Fbmqtjwxh\ngieEyq5Wc+bPJ5VH5Mhkgm9fvZqv0Rinlfsmb2QQhOXee1mBgfpF5nDBi7jLRhbNVF+MESKYvkKh\n3/RGHJFTSxkMnIQENsk05GzhrlsRTzylN7W3eE5frdpLclq4Z2tioyaOWrkSAEEQTlgadLt8NzYE\nZGVJ7r2X6jVxCjrMqjgn2B0Fhz3bj0Vs+pIpEPAUimb7RVGhzS8h2UWSHdkfhiTM9l/20AV8xkuO\nd68+KElOZgkEAMiCgr4jR3qeiR834bWya19aInn+d0/RAmhQ9QpX7xJWMHxefqg3uT8IIwDwFIou\n7YlOlI9TrJEitAqHebp+x49njPn5/qtXi9Jn9yjI3gYfZwQi5JNMR47Q20J8+LLhY5rB6Hh3LVKU\nQdohph17WDe6+uvKLZ6KiJc+EapUouRk2cxFjqrShogfIHAEYKEU4+TBU3sufGMbQtEqHTdlJudP\nh9tTKnwwigkeX3WP9OtLTZP3miz1Hd0lgaFzeRcZvcM5/ljFSkjhfXJYv8zJGn8ve/JiFjPQOY3y\nsDrYh0o5Nx3egm+9wSKWKp2xv94TupcpWsgc9YRHsJtBPM7QSlB9AJJSpExB33b0zUXfdST+AWFe\nVNUiOhA2Jyo+gsAHgRP/TzEUCAQJCQl2u72jo6OgoCAhIeFfHhO/DBQKBUEQg6pWv6UzkYOakOhe\n1mq1CoXi7/Z4aWkpj8ej1WoAycnJg20h8+8GbYIXCASFhYV08xUKxT9Gw5efxrmXweRB7ouIB3Dz\nDIZK0cfFzEUInkSdeZyx/BGciQSjGYvfxEebvYar3qHnvZZObPjSI5NyLoaw9ugYhVqnqJZ3gcvI\n3w3tLae0jGMcympy4fAhj/ppEw4SWG5Xqx0Zw/SqWhZCPfA4NO97sh5oJXZyMN4BszPnA6hX2BcF\n+OQ2UD+ecdtsthMnmJonHdAHYAIAp1br1una0/ujBEtFaXMpu71n1SpTZUnTq8P02mCSJANlSh/P\n0OBTOhuHlL/5jGWSpGPPV35hE5kCQbX2U2J7S4hmPVMgAMBTKkl02DZuDW8MkpM+hqyUBmgl8OtG\nGVcRLLdHNKxaZausDMvKEiUk6GGg4CtBkGlGoHHtlz5Dh7fk5Aiio5uWiccI5gsEfn59hGHv3obx\nFn+Es8EtKcjx3Xw7YtMXzmvXApPv9xMMK8deMQIs6O5VWaUbm/nR0V5dK2vj2Q7DZd+sFwPnPdK9\n4YP6tM54LOwos45XppQqtD5lJpaHyVEoADDAbzq401pZK/qqVDBqjHzZMlFysv+shw0OrQn1MlkS\ngE6UdSUyxFtaDeOjFEgCwBAIBLcsJmaDxd9AcxLLx09wqqs58bQFTSbBTZZPSMABgpwmiZNl3u5w\nCIprpH7Rnf5npBgHVZLo3bNkajsLUnbcNM7OYte9vpg8jTVrBauxzym8yNxzhMkJZuwp946tYMrn\nMY2JXs8XjPkaRuRD2P8+ehIxcQ3c7yJ5Bk5+jx4p7h+LW12Q29DPx51DYLugmPHX5JFOJJGQkECH\nerPb7YMkUQtdK3oX9j+ezOx3Qvr1QPuTzJ8//6/drayspCfiGzdupKSkJCQkEAQxSKT21wHdCfSq\nTaVS0crQP/OgH0eg8hiE/vAj4BgK/WHc+0dwEhHLAJOkLu2m7nuD8dV11F2BlOWtPO3lVTieoLhB\nB1g7SzxZaz1Tw7nSuQgIdr21zJMSzLXFIDDQsW65IbHR2dhLfftZbwahr/uaVe+yr1vreiLVpQo1\no0eKkUxNnk/mWzZC4EUYH1KmeqM3I82gEvcIGh3JYXa51/Pxp52ZslZZPYsb7IGLq21163R96SJa\nW9LpdBK7vfHq1T6idWR/Uvz8+xUKhUAgsO3Y0YSyxGUf+mNoAGc4d2Rc+bm36w99TlCRUavfHmi0\nA9YaRW3A3hZnR0dwdrY/IkIRfwtnKlA+DNPcR86wGAxxdLQ4OdkOWwmuT0CKHApfTtgdr7b7T5q4\njzbXJbRGYKQE/gA4CoWI7UsU6isEVxtyskKjU8JWvsIUCHzS0tpWr5bPfyAII0qwX4fqSXiMzWC0\nPvOMYMQI/1WrglQL2nGzXXDbFe2jyDVIkqfrdLpYZZw/wqsTuxi5J1kUuy1v853CXbGqZRFPqkuH\nVYUrpnBl/nQr5BGplu3bjAmOJu4tHsSxmC2LneTec7QpsYPWyTgJCVh/yHFPgInbJEWMXcEgT35J\nSSPIQJ84rBQqxnr2HJC3EPWqW6MU93eFhEq/2FPOC+BGVfsIxoOQi47qSVU5H8OZcWM4Hx9xpUgo\n2FlJD3D2XLepAxlJc1n+SfjhB+r2Vwx+HLNd4fH/jhG0gBGQBv4PKHWgSQxZPRZ8C+dnKDZhVAiY\no2FqAouF+jPoPoS4lX9bNpVKpd1uB1BZWTl4TB0D690dO3b8B7cDfiekXwl/90gQrTnRcLvdg0SD\n/hVAx6wUCAQkSSYkJNDmuH9poB4agsYaiCRw8iEPg7sFKe/A4IFsD0QKKreCUgYx78hdSj4ye71C\nX0ZrcP9jYwScj5mbN3hXvmSXHBaV3YNjed7HlvfiE3eZw2GqIhdFtuGAr2GO/JSRq/m+J9LhG/2E\nX4VY6D9cWGm0FR4Jr4zHlmNC9ToXwWnAmVjMZmm2C+Y/JFLNbMaNRKyUaSlBnlb27b5OkSv+K4Nv\nIWmtLCU7iuvTA24bb+id1pbmFllFF+vECe/mjNDUpfwOt3nzZl5SkvHIkXZFX2j6CponAAhAMEta\n2dcbjanxLQqrGy4ZfAEUk7uDVp8K0Xzok5rau2mTKDnZDlsnemdiSbn6CX2SX9TKl9ngGArPXk24\nk4oF9NO61W8G+6vEa548Uf9uhOLesL/w7eYoFF0ffGDec5q37eMuJSLv3hIlJ3dmZ1vT4vvBDdZJ\nGnJeI+RRQWvXGnbv9klLA+AEtwwVHiIspEPk6uhoA5RKJZO0EjuKe9oLe64ew/qnRyW/wFeEs8EN\nCZpUcuXDgJjJbHDp5/fEClp3fytMmgZzgPgAACAASURBVB+D8QAYAgGnrpdjQUPobb+CLndBAdtu\n57z9g6umrIFxlpdfQOjDJPvLfHmjWloP+OhcrNhY9p69vvKULt3O8DP1bLM5csfhbrPA+/2nXpac\nu3uXqC3Y7HPZHMnwykTOPT8YJ9y2gHSG97F3aw1JV70hFrZgpDeUY/M/wGzUs74s9KiKmNGPMSpM\nuOcGVO9jRz5a8pF6Hby96OOi6TxGLEKfHtx+GFvQmIvhfycVOp3TUqFQFBQU4BdNcPcvgt4UoLUl\nrVb763PDb4mQBq9Tg1arVavV9LqDJMlcOobxX8dvaWfvr4E2SNKOHr+kCO4Ww2IHQwSvL4Yr0MjG\nmEmorvCyC5n6uZTR4VkVxai9x3Nhg2EF4d/6HGP/Mefzc70w8DcV4tEsi+QzjnGG96u3+9UP9OBi\ncFmy5JgOao0OeUGGEcJ1n+CTXBs6OnFJuc2ASCWmpuqQF4TJwldzvFYPMzSsNaovIH0tI/84U6lk\nqVSl+CEeCziky5GTw9doGqDlQRiK+LbsbPaJE85nnz0z2fJo5NMAurRHDHnbezUP96BzAuYFIdRL\nkr3TpjlfftS0VDUMkwea2Kt+qTYj8h7V85bcXACWzDnVKOvXFg8tsIZnqmkvNTdJ6nNzqzKjkjDJ\nmLMpICvLTfBKcJ0PgVl7LUbLDMp8jj7nRLu6taKzXXu2x9zilzJzPBIB2LRaQ15ez8pUsbYpWDmG\nqYovwoVEjKPJr0V7rPXEnghTEC862pU5pxplEzDVq63q12pdmXOaUD8BKQb0VaMsMPt4BwTDBQIm\nQQjT068TpZ1tFQnXGDGLnhlokVunK27eEp3ylAR+t3AyFPEBWlu7vsyRNCRaa/dotQCcJ0+6Fk7q\nSfAMTX3PhB6ddiuh7bZmLuBBGA0VSBKaHH3OyhYUjcLDIElsyXWteaYRebF4AhcKANQndZEcLdkQ\nMmH7Rfusce6SAn/cwympRmTInUVSxYg1nF27MFylG3EqHM+yt31pf2CKS2zgmb2snDetI/o5sTNY\nZWXMB1gQf8feq4ajH9JpiNiFiM04kAr5UDBMsPXC1gMBDw9af77MDhxa+EVGwC+F/4iP+G9p6hu8\nGpJCoVi2bFlaWlpaWtpfM9n9JX5Ly4QB0D5yA5mY6T0h2rD+y7ygvxH7A+AF3GzIAhEgBXc2hHWo\nveoxWZjzDjC0t5zLOQ4Hi3X0pG3FYyLTvZxjV7wrX7AjT7ipoT9tnC50N8to4H9VwFcfNsJKGCdL\ndxVCrTGizg2Ln+YQ1OvAFzQib8ghPux2LEw3oq4fnQHbbmPGbMZjT7ZMYgvsQvFjL8FqZy1a1Cmo\n50FMkIQzN5efnd1laD/btH8EK+XWd98p/Pz8Pv+8uadgwp56XtIEV2WlN+94qCa3Ap3zsbgXXdUo\nc2W/7XjtSVOzNlLL5t6drUi1uiYjfIzqSTY49EXGjkM8QbAn72xrdkaHwBgAPw7YTIGgLIH0X7LR\nW94Q8tFHTIGADU4oIsvQ1qYAr9PqflXjMRqDsrOZAkEfDLdQnqKYH9onsBUV3Qzq5G/aywJTt3qq\nmxCNSJjbs3GjT9JEpWBECa5bYHLD1b3j87ArfcTDD0vS08WQBCGkCBf8FQkG7RUzTKMV8wDwIRTl\nHunoLuZdLo34+juuSnVBcH4I4pMkqfU1Zy1Slp9PGN0oJkHITumuhhbXiZsmkVN8jtyktFr+tgMs\nitWV5B8w/zF2cjJ3wQLm8QtYuewMvuNAMELxkKDgVqBigoGwe+ASCYJAGgQddq5yRC2OBwnGob2D\n1dHHVo66CY0rkmBs+5o/diZDNCTIP7q4VhBW3sN86v2OFL3vfTm4dl4WON246yUug2DmrvcZsqRd\ncUGa+BL7q8/6x8tdPKcw7FG2PdAaaBDrIr2HSo0TqniJo3HnKsaEMy76oPd9pJej6Qu4eBDZ4ZSg\nn0Tjegx5CqyfZW+nt0gHnHcGiR2PNpjb7fZfM3v6b2nqG7wa0j+K39IyYeAoxr/XL6O/EUeVoMRw\nUSBiIRR62sQsvxL4zPM62ZiahoM3yNR6LqXwORpiXzLXYbom/fQaXs/tu7OcebbHHRnC9Uuy2VqD\nv7iMZc/bxU6D5UZQoQtrNwKoxTexG3uxPBMyQoe84BKp4I4JC9N/urXNQ6tKTliqcHjUNgsALEh3\nb/lMj3r/9OzOr76qSEtTKpV18vMzZY97tFqvTsdJT+9EqwH6oWSYfe1al80m+eab8ygagThfyECH\nJsrI2K1qE4DLaeoccrg2/vn3TBpNU3pMgHJcEEIHmt7zurrj/NGRheUAbLBfRwmAYPgwc/cE2uSe\njg7irrN1FVp7YZqMYTr1U/WjRGMVaUTKLBvsF1A0Gyl0me7XXzddu1Kf/xKf8BeAT2tLAFoyM8Ny\ncwHcKvii5/Sh1KzdTIIg1WppVhbz7jfdim9DEJWgPhGQlWXPz3c1NPisXFlKkjc8R0Zc6DG/Mj0F\ns/gQ0oXP7VsrfGDRwPNv6o74rnjHmhjhO3Ssf+oDTKWS7gSDZpUB+jiMBFCp3UbpGsXpSxtRl4LZ\ndAG+RlOCkyGI80cEPtBgRaaeIK3oFiHAnbWaVC/hE8OssAwzDMfGHLylaUGRCAHyQ1qT3O9kX9vQ\nWcaR3bNxPN+18plafJtgWobNa708tgXlksCF4HDNi8I4COPvPmqfkWjzb5Y3Jrnz/2iP5Ysnfm5v\nXOyeECE46mAayxn3laBuPJqSIDoGawD6WsBzYV4xpP8jwtDfBR1tRKlUDhIj3gB+nXh9v6Wpb/Bq\nSP8o/tuXCVqtlnaQ02q1Az5y/0YHDf1FXE6CWwAmF7IE9Jm8Hsod28UI0TBaTe5UH++OPba5MUwq\nSfKR1huhsDfvEn9/pTdF2uL5RnbWIWMmicY+1xzTHHm8G2s+hVjaaT6oyK9B0nT8uLvdtD8s6xBT\nLO0MM9eIi5wVReJDV9tXJregqAzHwi+wXYauvoUTW1F9BXuHlEjcDsPtBxX1jOpTI1odPsPZ2S8b\n7okKvnd8c1DlSH4yX9vgLijgZmbSbgVJSPZWVnpra/mPPtq38T0qaVSkYAjuslGtKlAK+QyMGypL\n1EvcHY89WPH63P4I6SiMHmi6LT+/mtcc84TatvEzQVoaB+xIhIogqdC85kwYHvvwc7ykJPOmTbzk\nZCscRai9l4w0ZGcHZWUrxs0s6jrV5emskfVOxQQO2AAsubkcmUyoCJUTMecUFgbY8XeZT5Sc3Pb4\n444bRR3RfuNXavIFN6MRJEmbZcjOFqSlAahCKx/+bIjdRVdZb+YcDQuLffHF6o4OgiBcvcK2RJNI\ny269Yx4QgzB+ROO1w3qmQZ57oLJwR5BdEpL1nrS648rqcUIiWAIxAIZczj9ykVKNvIXrjaiJUUwL\nPFImT5gsEBCtaPJDIEMudx85EqJ6sAxneRCKht0DTU5NakQtSk0wD1O95LflnGzSYgdsrfwmf0YE\nSrXSuJm1OC6Om+azdUfCksebWgydRAmrni1hC4nA1AbeXl/2eIbU3/3Qo6SsSryvgFfTY+0vwLzH\n+D8c8qom24hGoS3GO2SE69YWQV2ElxOAKUuY9j5P+ZuM/lTG0BJ4H0TLeQzxh92Bls8gVcFn6M+X\nZXpvifYR/4/s4vw10NrSv3tv6b996vtL/E5I/2HQmZ4HNoeUSuWv4ZrRkoubi9HPBV8OnyiqtdWr\ninKLeczQt1lXL5oXlnK+aWaLxro7SyX7L2Pms00zygVXOswrHmPFLmD0Ov25KbjvWZ3kdMju25yJ\nD0Kh1ElOB+2vtr+U3TVaXJPspu5UOe67vzdjEtfi9Zy4OOLLKkH8VLkjGJEqSYkprEssePAZCfz7\nYAwvBHPvlfL4KSOIe+wQxMkmjfumQPbe14FxU4zbNxm6O80Wa3/erqbsR8pQXY7SezCZq6105eXx\nNRq7Qn49iTE65yQYDOfmzZyMDLtqeBmaJ2MYAIokRe9sCn7v075vtzLGTq7mdrvg9ofEpNHUqMSK\n+Uv9FfGc6GhLbi4vOdlLkrezX0ye/7xP8tSTuNUvYEYkJBuyswvSZHMKLJbt2wmNhiEQcMCODh1/\na89nrTFRSn6YkLTS1CKYP9+VPK5m4zuLkh6PEIQfQbEfJCLwbDt2eEz6snj+tPRXuWCPRMQRFAvB\n84seYczJ6U5LNMLm8/p2du4B6sVHiqfEpFv44uRkhULBJYTnXLdXxD3dfu1I1PQpfEpQWFhIEATn\nyJHA7afs3W37noufnvoKkTCeIRDAbldq+4oS+gXgSyBmKhQerbaC0HcQzCAMVSKEnZzsyM6WpT1g\ngakJ9QrFWI9WyzCbw+o5Ot0B09E9VFVV8I07CdzJrjs6d02p6NxlFF2ScENcF45RJcW8fQchYAeR\nijbjadHMx1kbPw5d/JxIKLWNpjpe/aQ/cqRfUExz6G3fI2Xc+Fk2f2dXGkGU2vgTX3btXs1yCnmF\nN+0TlZ7oGOHxQvuCVPsIf/Gui279OUx/H109toRGzhUDJb3DGPkG2k4jgA8H0L0NHDZkU/4hoaZN\n2UqlMjc3l2aCweBtO1Ar2nO9o6PjF9eW/kunvv8TvxPSfwC0n7rdbi8oKKC3x/7hA0P/ChpfQ3UW\nhFIvIWZ4o73Cbq9qEozh3qELmZd2GlVVPoeEbEFC3zyZpFLUtzitfui1gCtMWfxLoqBZnR1bI06T\nWLTahg7G0W+lkQv1wxU1OM7ev9s6fowz1F8Gpf3a2WG9I6VTnpJDWcVsiDtczt5yGBOSYSD7ct+M\n/OaYeWJKG5tXc6f6ZvPJiYer5JpNSqWSEjB0vBbVxqNYuRoyAgLB1fH81PqAoDc/8X/8pVDlPW6w\nBZBatZfNeTurNMu60Hsdt9MEqYK02Z41r2DYMM6iRUdQPB0juGDTcR/4Gs2PwYYRKQ9Gv/lljHxY\nn0KsUz9bPX+4XRU9BsMAMAmCk5BgfOutqiM7w9flSJVxIvDiEeqC55yg7mokNXvJBpYiRJqVNdB5\nRWgJSJo2eeOpEkON/Ydd4ZoNLIUCwF6UJyfd15/zoSRtVjxCr+lOO3I+CshYVrA0doLWzgaTLhaP\n0DLcaSXcTdWNzC+3yI/fYi9cGP/KK8FElE9o6FlWVbxN3ky4L6Ey5BZLqVSGhY28fuZbqwzjC26Z\nT5++Ex/fmrmIdeVS/NQnGnn9oZACYCqVru3b45IWXxFUCMB3wX1Z5Rqdc0qVtqoDZAM6I+DPqK/z\nrn1D3i9g5O8lG2/IDcDB3beTpCbVmMbU4fGLXxdeKcLCDHnc1Lo4YNGDYl0zUuf7jF/QkELgkSdF\nPx5HeLTYIW0v3uSjrXNVFlpba6lje6wzI6R7d9ckye6QDZbkIcS3uZ7xM/rQ1R83hL3v87YV8+rG\ntRBl7ewLZxyWG53JCuJwqWtsPJL/wL+m89RtY7PHs4xe99znWGcvulxHGGMeZbRbwLXCw0T3SXCd\nkP3VI0p/AyqVivYRP3LkyODxvKVdYUmSzM/P/2V9Mf6Lpr6/i98J6dfDQPAIAPR5qf/AaGl+EbqP\nwPWlPEwvNdrJ66AiZrNq2DZFPefHXZ7AEA5rBlei6psVxrh6yTTMjxcyi3+l3N86DEnzm8zfhu/X\nMVesd8JSWfuKSM9tnRrOhZi5f98QyUJi/JNShDZVfRdT6mA+9BIAA/oE274mVn4AvgDAqf6CsBvt\nV5e+5ONxR5w46Kk5Nrncw33/M7pehSietC6fNXMhIpUAbqM6yiCWnCtkbt4Krda547sbKsk0+1Ai\n/1xg9keRCO2EoxeOHpiYWa+6Vj7uExHXvHFdSFKqvyBggI0aCYoBRhz82Wlprh07hFv3Rby49nxC\nkADCGvSGQsoFi+roMBSecUUEKVMXD3SSDKIesKM+2FG3ZFawnSFI/ClQmA56HcgpiEJhYeCOQ66d\nm4+jNgryvSifgWhfgZwTHW3MyfE0NobozMasJ3OJ6kcwUaqaaNq4sX/IkA6SzM/PTyRiu9tquZfP\nj9Az/daulY8ePfDSgKDY3RXfdoVLMzCRlmdPYaFi8z6Tubsx6w8JaQ+3xXGcElgtAbJvfxDNvpdu\nBQBWUpIjJyc+bcU2nOiBeSFSeBy+e/WqUAvHe+aUofCkfPJsJpfCnPnixU80qnyuTBJ3j4sdXeZQ\nTngoAqEncD4+cQm25WJCchBCi1Eoi53K/2oDktP8EVGGs/7sIQ5DW/WMqPYRYSX3hYfeauJmPO8/\n46V2ttmvyxZ76U5cX7D5cqExPEqu7Q4b+ewdbokYitDOqMDgJ2pVvLB6gWDUalfxPm6P3tvS0D5M\na4kd4dPu4xzay7tp9uoL3fevYHV6PM1nGWI3QzKcYeoCW4jeU/A0wfe+f0LMaR9x+kQtBpOPOEEQ\nAz7iv5QvxuCf+n4+fiekfy8GDgzRx3v/w8Ej6meh+QdQPpSL5YxJ83i6qBGPcM+V6EcWi2tkmLfN\nIegWtKBlMt9TecrfNlmS+GZXwxch3dFIy+zDLfH2rZ1L5jfzbnbX7o2/4CaWfOmPuLaq/ABnED/1\nUQC9pts++/eKVv6U06hbs1wydnkbiwfgu+NfTzx3OuTFz5TDEiSxcU0pkX77j/BjknD0ICKj62TG\nwG37iakPIFEFwAZ7k+H28I37oc4GgISEYyrM/PSi97utvA0bAVjgvILWhzFuSNYnRPpjrarIIoX1\n3KSg6K2nCK7U8f77fI3GSojOoGE2YunKsK8UMuPiT3ibFyhTRiIwFNIzaGjTXpBt31vw0YrpCfMc\n2dnsu+GpOsg2d/a60Vma4JHj8mWk8cbVqOiRFjjPoGExGeLIzuYuW8Z79FFhtiYmLSMH1yTwTUYQ\nAJCk55tv2EOGiJ5++gaMcSbfo7zO3vOlDWyu4uBB8ezZkxIS+ndsIXu7wrLePrZ4bELOFvZfxMRq\nh/2ORNJXWjk8dLjz0y+I0lKmQsF/4w2isKx1qO+PonpfCCZjWFR8vKW3l32puC6CaBP3KyFnCAQM\nufxC4fcTKiE4elFceIPPFbKELEydRjzwWPmkMCgUsgn3YmPOnZTESug9kMfLVP4XihCk4Mj8IxBa\nyK+IdPjhjg6RykjElPBK/WxidmdXX7icBONsaGPA0fOR8ffH8MdJEFo1KnTo3gIkJgdLR1wbzwyq\n7mKnr/ab+khbb4HkzNHeggOxrqiGMQzZhWvc6Elcnl9TnNf/RIHowa9rxvUFF1T71xBkhJjldfcz\nrL1pLonWw75zHRNfZpj0lFuK7qL+iWM4Ld2UmAXLdYbtCvwf+adFnvZ0oGd/mqX+6Uf9gqAnAYVC\nkZ+fT/vN/itPG5xT3z8J6reC06dP/6er8Gds3ry5uLiYoqiGhob/dF3uom4SdRVUgdBboLS0j3ed\nTe6/NcuRF6XrX+g68zTVXtxjzbYcuf8O9amuUU0dy6EoqtH8jXNTOlV6WleytnnT0LrCp81V+yxF\n3/Wun0FpT1O5a+wbHjE/MZTSnqZMesqo7/xTKv2q06dP397y1M39mweafydnMWXQ03/3U9bWnCUD\nP+1bP+u5fxS1e/tATY9R51wvPE6RPxWopFpukVrqhRXU6dOUeg2l139PlZgpB6VeQxUX02W+pmoo\niirXV1XPGX+kbH8nZf6pDEVRej2VuYLS629SveWbP3Bs3kz/i7u42Ljmj2rq4n6qkf7Zv2YN/cel\nnJe9ev1AfSr2fZdbdWg9dcNUfLV/zZqBW+7i4sa87QeorgKqdzvV5szLs+fkUBTVvmbNhYsH3zy1\ng5aBr6maWsrgKC42zphhXPPyNv11+t9NlHMLea33kw/pn7WUgW4F+fjyK4/OP/39tr/8erVrni2g\nWi9QHQNX6Jrk3Nizo/Rgf+7nFepHbXOnU+fOUhR1kKr8qe3Za+jCxVR9FdV65db39Qc30Ve+p0o6\nKfNAgRaq4xh1jspeQ3d7P2X9lvruTs7SIuqWleq3UPZ99nPUVzl3q9pYpN1EVRbTJY87fqC2/nTr\nKrXPvvWV2ycPln/0XPPWhdRr91KdDc3U1fqWT6nCPCdlqqG+pvLXuM5v7MmfTm3LtFqrSqg3TSfv\nNV8a6bz2vK1qoV2/2XE4yt4716uVuquDvDcYVMOIvybU/xCKi4sbGhqK78rMIIFer29oaPhXpq9B\nNfX9i/hdQ/plQJIkffiADueanJxMK+ODxFBA1Q2nzDe9Np7Hb6Ytxi4sCXYKTB4wjVMe8q0U86KW\n1kk/lx29yr5vq6P8VMj+c8ygYf2Ve/jHtjU9vLCXMKG5KmRctv+Ip7l+8T3n1gUu/R4RCRia1HUn\n3+/NyzCTqNMa12eQvomNndeK2i6HUh02t743fRpBENdR4t71uXtSKhnup4dBD4N783vW6fOawn2K\nUFuF1lZrnTg09nwCz3bxWFE0VcVuG7pxv3B1NlfmR1f+EiqnafZCvQ7DEqBKMmiy+YR/WGE5kpOh\nUgG4iM7hkPmS/QFZ7/h9sTX2ev0x0+2GMF8nEEN6kaVGjsZMiK+he5pqnkerpZ3IKZK8unrZFIQN\ngTgPjVaFf6Q83JGZWdlTF5ad4yOQDPSef3yi5dxVyY/nbAYyImst4+561qIIqCk8PYNkDlEO933h\n1cPRUk7q3LLim+Tcyf47d6VnPKVQKgGMgW+drtS6/Tv58JEF80c/qPzJQ5cHVgw/II/fEdhj7QoU\nX0TX8oJm5+bNwhf/GN5jzksOHxWg5IEFIA+6MHlowo5j3uSJFTBEQAyAlZTkXr50ikdqryrdnjpk\nzIQ/cB5eLsjbipS0OPjvRXkU5NzIWBzKR6KqHs69qBwTNCl+zwkkJoEvGIGgM2gI9Y3mFl1BXIIE\nYgH4VeMCA77NvzLBrxTNkzCxcGTo7K0XOEkpXLD92PKTQb3xZZ0IV/pCpg+Wugp2S0bMYIMTyoq+\nLCiK7BHCX+GP8FtBtSqDKOChly1RY4r9qojj5wPNHHdvnVNfKwqbzub6t4eTvh0czpx3e/v2ESd3\nCmMfM8YO821kNyZ0SoqbKCbJmvA+yrdRvlMY/VVetpThaGTYtoNY/S+OAtptdeD00iAZm//L6+Gf\n8MX4LWlIv59D+udBx1WkzcGDME7+n6EL85o6vUKJ1z3NwagQ17N7k4JFjU7WELXZel5I+tSM8Ebl\nHZH5ze7n2CjdGeGTNztR1r83E7PVUaL7upr2Mu7cCpj6LoCuHRnse1f5Bk4G0HfweUPqkjNlNVwZ\nP6m6uClSGj46QwB+TC2Jbe8gMAYA0jJQooWUwJy78Z925SJciUl3v1SZFlcKsFL908+NGvy4u259\nTl/isC5YAHTBNGnjft/lzwfJQugiP6D04T+8jdg4vPUuADNceWh8gvSniQcEYYK7csvHEyDrXDzX\nmvXy7Zw1qcTwPDRmIMoHHACu++/zgtF7YNdZ6B/BT0b8W+izbvlC3NXHHZowLH3FX/ZfOeysrKzY\nkqq6vK0FEtf9CAgBH8BnaB5V0h3/5jqT08nIyYkaPfozNI+AqB59j5P+dJgJAA6NBkCz+ql30bg5\n63ue+jX8T1H59PxXIqP74Sst7LQ0Ni3DJNn09FNndr8zBYEX0TUFgTGQOjQaTnp6qVJq0FVNy/0R\nAJLvKfP0NSz8KYG6K/9CdGvjGGUUFqZb4PwBpQ9jFGfj+oKF9ygiR4yG7zeozTASPhvW4y0NAAuc\new2XHly7XZA0Dh3NDpn0/HBh6Na8WCKa46sA0BMe1N5dNUocAasJgBG2Vm9vgnAoeALEqa7bCqP1\nfN8H1AA60dp55tPEGRoADlgvlr00NHKF10dqRVvfsc/FQ5eybWZpw76QagN7weudw7iu8n1h4mXG\nSImJPBN2ttBE2N3KyT4Oee3Qvtj8Lx0RbsfQp4Rdhzh9cmNoq6yzickmQcQyIqv/1bFwF3SKzsGW\n2u6fy+n+WzqH9Dsh/cOg1yP0Zul/gRz0DKF6dF4Qdp8JjK46dn9I27AIaadX7r+6zbOTW3HTFjXc\n93qReMxbGLpAf3S2cdpKk9DGu3AmJOJhn8gZsJJtxx8PWXwAgOv0p3cCreLw5TpONf/ozt7YKGbw\n5NGBo3wvnAaAqekAYCaxOwcrfjpVipM7cfBbTJiJcamIV6FMi3ItHsr86a6RxO7cP7MRgGP5IPxw\n6gRS0jA1FQDWqa0LF2kTIzphA9AE40PbzodBhFEqHMrDW5pvUJuBKJ+sN6DOoif6HWhfiADJ+UtY\n8xJOnjUT4k3QGSB8HoFh4GLLTzGojss8s9Of/vOrt+Ta4H1txcyE23cybumkyx+/W8feki2bps5Y\nCJUKWWqoszZ429DW6zsy1nut+oGqO+Lubuj1yPmpyY/iziT4rIDco9W6TpyAycTJyGCpVB+iZy58\nCm19GR9+JX3rnYHXmnR1dzat7+Uw/T/8ZDj4A9dvfvDBmKioh9OjHkHkbPykLLqmT+XMmlNGUC0r\n/jAHYWfQF7YuO3b125ARB9GtAG8cpH1vqctGTxg1NYVDiD7BdTkCnly3hffWh/QT9l/4eu6hIp6X\nQlQsgP7I8CvC3sk37xxXPwFgBqJvQh+86+uYh96gyxehBcd2TpjzKv3zkr3Y7+qF+Gl/RKsObbqS\nqm9jXQF22Lt9KAvDSrm5vX9YFoIgi7XVXnleOXa5DPIae43szPeiuc9dvHARcY1TrjZweL6ksBsu\nniz1NTc62GUng3yX9jWtF/SSnCkfNMquxZ673sUrZfN9ONEKQUmtcQif6LnB4NoYkihGaMM/MQj+\nBnJzc+lomYNqQUmfBsHdjAd/t/B/wUT08/C7ye5ngSRJ+iAI7UhKBwj5L1CT+4Z7e2q9rFCHRMpu\n7HMQcUZFGMvhH2iJraG+kFZVS0euN1mriaBFrLiMmqKF1tikYN/7xZVNLps+KPEpWMmu4yvli7ez\nwW28vb+846jWN4bjx4y/Wqf0HRE99mmlOFJYW4E6Lebd5Zjt2ViSBZ4AAMwkCvdj7U4kJqO0EPu+\nwuHv8camP1fvndVYmUX74AHAUoKw+AAAIABJREFUsXwYScxejJQ0lGpx8ghuFSN1DjdxbATECSAS\nQIwqaW7tulOw/IHbQT481URX1jOyCdPDN32D51fTbHQdRh6Y8QYXNn+CVS9j21Z7amoJkI3gEzC3\nbflcDpZgxVMHVWFjKlskdjdoN6ctuRij2jBv4ssISgiMyGWQrQ7LcFkgSLIm68U49Vq+ckhBQUGz\nf4Bs81c+0Yn20cPOw/3KD8dEQ+PxyDKokrAuG6lp78DyFvykYB6CKb6wmHfsGPfZZ5kq1XGYVRAk\ngD+EI1qfEKjae4SfOBpA/wfvn+moG/X6n+KYAm1XU31YQAx4dGdU9Pf3FJ5KU80tFDClYAVs+Rb5\neawVK+CyBT6+ug6mT9E6A35DE6dgYw5S0uIgqobVCSp89MTIC6c6wpWH9Y1sr8Svuz+xvBaff4j2\nNtRUhkeM/GF56pjSGvwxGxOSOXEj6qMV3yhZT9y2Dg+fyAUrAuKDwYg5c5o3dAyAUEhrxC5U3iBC\nEwBEsBWX7DeE4DcEc8tC2e2JI6/w9AmzXw0fnq4Yvqit/viom3WRuvYwXYfdaxcaXQHB40PZYTdE\nLfEtjDFjl3B6Q2oFtTLiiSGRC4x3Lvmf22MaptKFum0lu5jJL9gChNIjWQL55K6YcH9zoJnbL6q8\n2TdVQdSQzmAVuK1Mqpfh3gXhc7/gEBnwER9UccQHfDHofIB/24j3WzLZ/U5If+eZtAZtt9vpzA40\nG/2yb/k3wdMTRlmbndyYfr5HZIruiFSIHNFOq9m3tqYq3h7U6JRPOtjTf1Xa0d04ZmJj61bC5BM9\n7D1uT3d71dbo1C8AdH2/onLWnEum+pvNFxJvXY1fsl0VOD6sRS9orURaJgCYSVzMx5K7Ks5uDSbO\nh+LuV/h8NZ67Sz9+CpRfw7NvY2sOqm9CmYAN2Vi9DtK7y9IyLVp0f1ae4hJQWYyblxE/HOF3H1ii\n5V44G7zylVHwGQUfHc+7b9aEgNffsM27z39IHAAT3MfQuwTB0GRDvQ5x8SDkpZtyZqbezwdz+Jbt\nQ8A7vGLJlyAlYKYk3IPCQtjt2LQRqWnHVbEqCMLB5YM5KUiJHdtOGFudW3Jvr34+wAk6mm386NH8\nYIXsZvEZZcS6dRu/fmQxX5UUBBYEAoBRdOZYmGrcULADSPPwdTk/JoTJXl8r3fTZNVV8l4AzHWIA\nfDBVIt88R7f/0RPSvfu/fH7pfZPmSMGCUhnzee7NiaMruB5aT/qYqU+eMXfYupxJt+urCs865s31\nS38IEZG4UIAgxUGZSAy5GexRfB8wGLR3nBLCyzCALxA4nM0/fje+uWt6WYOx6Nr25elTPBSWZmJ8\nMjcoNAaSnWODx3yztSNpTB4aE+E7yie28maBMm483c1jhBE7neUxAgWPJwKg9Ik63lkQJVZyeaIi\ntNj8w27U/hgbPG4iYhIQ4dtnLTZXxhEJAELi5x1n3g6f8gI3bqo/ZC3aj2Ttzaz6qzFhCwosR2MC\nUvxk/mJpRK/+QHmD2B10T9tw56grVZHt4pr4GEVVpTl6WPVQBFaVCLsaTAGEr2Bme6Q85NLF8klj\n5R23Ke4YD/Qsb6sbW1m8f3U/6S8xEEc8Pz+fHt2DZIzTe0uVlZV/O17fb4mQfvey+9/Q6/V5eXl6\nvf706dP6v3C1+u+C2yh1NbOt9cPI+lBXzeLq3lmuoqWG4ln6awm11I6uwnlUv95ha24sfOAqtc9o\nrb1zZDFFUZRF3/1Dxu0TH+kuby35YsKZEw8XX1hDnd/8/9i78sCmqqz/S9LtlbY0Ld1CC23KUgib\npMMaBYW4MYyKgs6o6LigjgvqaGAcR+oy8qp+QnFUUh2FoqKprBZEEnZDCySFFprS0qR70/WlS9qm\nTdPz/fGytc43OjMujJ+/v9677+Xm3fvuu+eec37nXHpzCeWqKFdFnzxBz82hIi11cURE2Srq9HTR\nUQ0d1fiewP8SEWWpqMNz2sHRfQp69THf1XaOWNWQBhQb6BM1EdE+jZvcVWn2UsJ8YFVUbNh/ZGf2\nhSPZ1Kamug5y0kbWy9DTk/2c4QStUZFGQ54R8idy5lDPJrLbyEUL0umTbTXUl01t3loNBsPB19me\na2bf0lKeQz3D/lP7+ouOFTcTxxERXw8RnaP+/Oy3yGAgg4GnAhLRa9S8t6P23Jonhvye42iNasdL\nTz5MDe00MKz8U7J9SrbXqHmb9gvayNKdN9NHH/BVnade/sZzGU/UUB//73v4Qm+Td2tOZjy8f+Ma\nx4M3eys+2dH0xmld66u+3iun9vUFm/Oqj3hLdrVeOPWF2nva2dH8meED76m1o+6V85t2k8lMbUTU\neen0+9V7vFfzta8Wd1/ij+0XDhxo8AwDO7ffzBIRndH0f/xo6SeLqdZARGfrP7Sad3AcV1R9Nq/k\nUerm+g+9XLHrOqot7KDmE9bHLU1vVBkXdexLb3cYrPYPHWcW1DauaquY1mu+rr0+tb8+qL9jIv1g\nuGy/fX5e+mb5Lyy7yxH/4TJBp9PxNVitVoVC8S/s+X35wWkfiw7OIYx1CYOEAVdXjOxOK+qzJY7r\nF5iDZJsFF/dGJz3MjQyxnrib+dW6ybZRvTtXdobOYOpOOnVPH0mbQlMmBgQNTIyYPH4hKxmrRIkG\nS/6C9BWYrETZUdz3LmxW2KzYuAxxqWgoBWdFfQU6WqFc6X6CY7mYovCpSlszcdVSJHpOT+Rh6mws\nWoYtLOorIZFiM4s1mb4G1FiwKwcPrwWA8TKMl+H1tTh0EJlvD2nn9mzMV2KqfHzyJPmXB8eVlhdP\nvaIv643Ge+5PihwFoAOu3ehcJpmE84X4ai/WPA/gfbhuhWghAiciwPziM8effGrKyRPZaaPvco70\nZVXX5qWOlqxXPffOyy9HXn/TW+hJhigSQgDH9nw8XhQQFShCmgyR4ukIDIHgDeopwsD98ivx4N2I\nicMzz4JhAExG6AvBorDRqTOPHgMfBJ2bi0M6rMsoHpsapTeETJiUAIG7OQwDcdQUvfEdWeo1Wz+d\n8cUXkWvW4Xf3YtenmJE+PyR6K2wiCL5E15WRiTFfHcAM+XQElmHAAYpva8Ofn8ClsvLZc764486G\nOVfNnKEI+TQb6QoAScEjOkbHlEaG9Gs+L+nq7ZFK8tCblji9J//klHHusNy00NjDXFmwKGhU+CgA\nwcEjgmothwbrokYmaFBpDw74zanKk9FR14WOAxAcNTr8cO6plLjxAaMAJMZMKajYK46fFIagoNhx\ngcc/PT8mYmyABEFMVPn5Y1H148feKpp6o8Nhbeosji4/E98TdKH3RFKCYnTM+KCQMOOlrVU9V0XK\nr+0++1is3SEcf1d345Hxsk/yo01JJ/7SkThOEBIX0NcT2Cu0xiLM1ougGMFABQb+LmSe/B6/Gi/4\nb/9b9ZIfH9493Yc91c9JQ/p/LZBsNlteXp7D4XA4HN4kcpeVb/PfgLNfBkdV70CMUDCmfyCqMzgo\nuaGkctrDzrY9SePy2m0ngnq6L6REjsh7NnbEFJvBGFD9wZnpNwtDb3ExpedmzZsx+bFpgklxZ/YE\nXPMcABTlIk6GJDkAHMvGZCVipYiTotaI9JugfAhpCgz0Y+8biI7FRT36Hai3gLNirmfHEF0uIsSY\n7XG6lhpRb8GSlYgQY7YS4WI8uQS/exSjU9w3dNiwJWuIfAph8PUuJE9AsxXjPbkteLZeusJ9OkMe\n4hr81aq7pE+tq4yPy0FvDVzH0LEKUSFb3wfDYPnvoM6yLFxcCVoEIYCQrNdCb7+vNzTizlnTrt57\nYGJiyuSZcqlUiq3ZAN64/c7rQkIT5lwZmfnigoVLtqH3NJySrX+vDwmU334/Fip5zw2AeIh29QcG\ncD3TX88IW3kfzhbw5QBehut1BDtiYnbWVM4LCEImC4UCy5fvwKAwMuquL/P2jR5dODJiJoTuVkgk\nFvb5aw2Fglvv/Hjm7KvHpgDAjHT+vyYj9EF0LsfICfFJOKZDmgwOx8TPtnPHtJ1jxkRNv+LYnF/V\nT79iFUIXIOj1kYHTq6pDwkbyRtHxCC6Ji0ooNZZet6iio+03Tc40hLREjOi7YIgd444dnp449fjB\n98d0dQfVV+G0LrC0qDt/f1GE6B6ra7y1bUSjJWX3+5aAgTiuDYW66NqqoIN/twUNim1tCGbSDGf3\nJotSgiRBEEVKrmi9sKdjdFIMIkITf4X8bRVjoxMRHzFaUcYdrplzy5iouYnV9ZWlL0YHjYmMu7qz\n/5x03Pgx0XOO2vu6hU1plnNOgdPBnRk35vmixAjppdNNIVX9CKG4q+PLz9SnzA/vP903clKAqNwl\n/EgkfPz7+3SG4HLmiEskEv98fb8IpMsR3/Gt2Gw2k8nE7/kNQC6X/7BJtX9cOPsmkqOyxx4dEHRl\n66B9xEBMYE9tbeo9gtaTY2LWuoShHefWlI+MGp+/tzMq0Rry2BSJ4JxsAkmvIsHZVHvgpAlPRyAM\nBzOwJBMA6oyoMyJ9JQBUGdFhxYylANBiQYUe8zz6UN5G3Psmpi1GmgLV55H7KgLDEB6FaIlP/PDo\ntGGnGvf6UsNhfzZ++ySa65GXg0npCGaQlYGH/ZgOADatwUMvYv5iXDLhcB7SFdifiz6Hj0rOY2sW\nFi/B8f1jFdcvQFAkhAcgGrH1g3gg6J6HEC9BZNSpz7amxybabLbu9esKp6anzZnrCheHh44aM3ny\nR+eNM6Xjma3vYbq88PolNmAJRAhhEBmFU/rZaTMkGX9+ef6C31/9a4ZXaWakIzMDC5XZA1hWV7ny\n71nvP7rWPmGSVChAkRFpsvfhWgShFEIpBPGmcwXbPhy/4S1IJIUYrATdBRHmKGZuZAsXLioEzYQQ\nVZayrPUXfv9Qet2l2F/ffrGqqiZRMhkChDC8l+jl5LGbMCIHNBMCRiLB/begqwe3r4xZeO3byfHF\n4ydM3vLOlYolfGdMR8Bbkycs2PwmFG7pmIig1cnxi7TaO9IX8/Sc+PKL9nN5MfU1gUd2o74SWk2S\nMEAnag+buVg9Y3LL7KtvnLiwwNUTPG1BbMIETFGMSJblB/di2tWjJszFrBsinf07fzVtrK0jtLsL\nXdYJez+orz4Z3dzYVGcMKzF8NTGqPLivGd193Z2d1nMdcZIO9IidQVR/1iZJrUlO7Xa01gobqej9\nQGJMPYd6YtKmJMyr7vq6l1kQQNOo6YMRbRXisQ+WBJZOD3mqi9sp6K5umH7TuIpPrQnLQvqKgBih\nqNIh3BUk+Jbtz/9DSCQS3pF8WeUR98/Xx6t0P/UTfU/4qW2G3xv+iSGVzxdgMBjUavVlaBr+vtDt\nGNfXHdhuj7M33lnaNtd56ZYa6/Kyrlcq29/vrH71zLEnLcfHlRetry3aXXHh973U3dOkN1549Es6\n1N3TQIc8DoY8FbWaiYi6OcrzFNo5yv1Hx0R0UE0VfqHv7z7oPjiqoa0v0GOKIY/o70mioW6nDo6y\nVPTgtd4MDm5sYfmMAG4UG+ixZfT5BzQM+zRUbHDf4HVHbVHbt2x+nQZep4HDZwtfp4H9Oz+reJP1\ndzKp+jw12Dj943fmnD1FRH8i55DK332TfrdkXQ1nGSBVH2m9fp+j2sadmu06LW105ylQO0ntJNrI\nnrO1vsf7h2wcbWTpqJYrLvzTma8t5BpSuY2jjeweW2vxxvVVWzZ/Ti53E/ZptFrtezTwnsfJdHTj\nqzZbG3/1FPus/ZPN9LWWvnaPebafbnUMcDWV3mQKRGQj10u152mfhojOUf9L1NXe0ap99RH7xxto\nC0tZKirQVhYXvmTUnKus8P7kwPbnf+PnTqPt7GuOGp+vaxf7Vl9Zh7cJOar3qayT+uuo92DJp7kl\n7/0PnSuk1u6iL+nlObSfpf0sndHQJ0+Q3fNaD7HU7T1WERH1cHTgcceOBaXtB49Q/omLDxTQ2bwT\ne4zG66hQVefIL6l+0kH2atOSjpLFh10P9Zmvb2y9rZabarMl9zqCO1wzhw+GHwxardZsNl9uc0hm\nZqbWg8soNcy/hctaQ8rNzc3JyREIBN9F/n9TQ+I5cjqdzqt980y5H+x5f0pwrtlBznK7SCJon9AQ\n1DrekXYqPCrAHlyeL5nQ+db56NGjhCZMf29c9CJn8yb7tD9WOEoCS/4+Rv63SRgfeOIVXJMJDDXQ\nHczA1WsRyADA3gzcsBZB3zgu1qHbhnSPdW7bGtz+ovtSsgzFB7D8WezYiEuFGCuDOgP3rkWEx/RR\nbkSjxed2CmbQWomUCTixD7M96d12ZkMqwwyPXQ6A04G6UjRVYobCTS4HsD0bIQwUiwEgToKRUdiS\nhbb26rKyGsWimY6+lmMnzAuvOtmD56dNjdq1BZIEzLsaQKYTSwMg4TWerIyk9Pnh1uqbJ8xYPihK\nE3lcOx026A/UhEeMnLvwinBGKYJuEDoXFCIgWVr96tprIiPxyNP8vXIhAPz5ivlp/7Nu2cLrcM6I\nrWo8tBppMiYuYeaxw/fFJL4ZGs546kYIgy8+mfj5p2f/mLF25lw2QORuws6cmpGxy9ImF4IKQYdB\nN6ZNiVx9D8qLEMKM/v2TT06dMW9MKrM9Gwrlmn4sDcCTgcIMJjLdZGCkE3n9MgSCyAhxbn1ZR0uN\n6JT2ztP6kIuF0Tc/sD44eNGNd2O2EonSyLiEGcWnciKCnWfLL0gle9F3W/S4pJLCw4nj3IbEsbIp\nuX/LnjFtPkYAQKJs1lcfv5mWeCXEAJoFAx1VF7WJ4gAIZ8VcccWx3LmT70pAaGDcOIxKRqQE81Yi\nkEFnM756AW1lCI3C+MU4wmKCEgBConApD2MUGHdDQMvZUb3OZMuZMSMXxbTVd84YXxcwqs1ZFGW2\nhAi6BrpMgROea+k/ObUtUB8bE+kKEPf02kZMC+qtFQY0OYQ7gwUefuYPCe8Mc1lxxHt7excvXswH\nolwmpsV/Hz+1RPwW8GL/O95JRGazmV/CqNXqb/3JzwYtdH2nI5xzjLNaJ9c0L750Qbmz8ZWqsiXd\n5evazqYcGdjJNahPtbxBRM7Cpz51bN5PR/r1T1MvR0R0SEWcmYio1UxfrSOLlixa2v0H+vptd+37\nWWr2LLuOqqnSo690cZTjpyrpNVTk96Z2sT7NqZOjtVfThsd8vLtOjrKHUuaMWspTE3lUJZOBTAba\nMfQl8pd4eDUnLx/PA4PB0Pj+G323zh+WtYxz0b6N7IcNHH2ipn0as4vYfs81VsUrWBV7NLs+16jt\npLaTu/LNLOciVQfRcw96qzK7SNVHJ/6qqi0yDOcHEq2y0oM1Hd23X09bhjyYqoN616nYTjLwahnP\nLSw29K5XqTrI0EcaL6Gvnat8ZAV/eG33wMenzxCroteeoQJ3D3M0+Ag5uXZu39usweVp4CA92OXw\nPY/JQFvYT975y8431g7phyO7/lRfMaTvd2ZeN9D2aUMVn+2NtrPv9XYayVNvnvp8c4WPhbiLrWsq\ne5LMr1Hzp2QbMgbsHJ8F0Q1/TfoQS61mqjVQnor+voQOPuspV1EPR0TUy5GRJSK6oKYd86jhKBHR\nBba49ePtBX++dGyKo25LBRksDY90Vz5cVnvLmb4nO6qnVNkf4LrjOvrCO+hq+nGh0WguE23p58Sy\n++8WSAaDwaurqlQq9+f0/ww2WmMbGGnrSanpSC5vvqXC+pv8gb+3FcuoljVZbjjq3EbthoqKP3RT\nb0M5m9f6TgM1kJGli9vogpr23UhfrKBLGtKraKfSLY3Ovk3776EyLZVpSfs8bbuV8tWUp6K8p2jz\nbT6B5D8TVRhol99MVKQlvWbI1YNq6uRoO+uWOsNI4Q3m4fLpg1fo6RuHN3WYxS9LRXu38UYqPj2l\nO3WmyUBb2CG2Ox6siqrNZiepOkh77GhWocFXXuw+VnUQfaKmYoPZSVn5BturKr6Qcw3lprdzlS+r\nlpRyhh6iarO/oYxtocpmrne9Kmvrh+YLxd5yTQ9pHUSVZtqiVnVQxR6N91frarnud1miITLJuCmT\nvtayJWbrX1UHd2rcAjLL1yKOBufYB2rfZanaN+a5QWKPHaQ/3kJb2I4SA9tPZheptV8aamv9e8L4\nycbPPfLmc3J9ZvxKW2rUOImIOI478sXO3k1P/ImcHA26f5Ct2k+d+6nTRq5NZDfkPGXziqsubsir\n91++NJuHyKc8v9exbxUdUtEhFVUe9pmLL2moyUBE5ODo0LV0gSUHR4UqIiprL60/N6O44uEzjs3N\nLRvqrc90lip1A2xTx6SagfuqBic2UHwTPUo/OjiO+8mnnV8E0o+Hf1VD+v8DPklwRUtGi2uU2SG7\n5LjC3vfQpZal5vbnOswT27ntBS3PFdhep36uzfRQMZUfav2wofhpusDS2Sfpi4VUo6WWQv5rJyLS\nq9wKUy9Hek9hD+ebLLzHJVraz9KbC+nTZ93CaZiq9M9PG8y0Op0O+3J7/wNtiS8pMwwpHyaNiKiT\na7l7pmnHNvLPql5r9s3a/jLJT+oQkdZB939xwlxcTJt9EzrbSWan5+aTh4lVsZ20rMmj0BDR11re\nWdX9DruunCMiTQepOaJ9Gt6dY+ihHXoDsSreE6b66gj/W0MfsZ2eStgX6JFlWfkG/pKqg8xOos0s\n/3hemXRkz87Ge6+pyd7A/0htJ0MfUa3Zm1db1UGHe0jVSL427lDTFrbiK43q9BFukB50EOcRKKpD\nR8z+fjGT4T3jkS008CdyujWhbJXaSV5li45qtJ+9d5+1zn1q1DYe/ezhLsvBoryuoq9oVybteJFK\ntG7P0C6WGv1mZH/FaD/r8x7xSxweDQYyaYiILFr6eDHlP+ceft6x16Cl6p1UqKLiV6hcTUTUZei3\nPHWx+NcH627q6TWVND/irJv7pWtzi31iQ/8dDYOpNTS6hv5MPwX4xdBPJZZ+TlPfZe1DAmCxWPDd\nEjr9nLiP/wR8h+j1eqvVmigvFYa+7nKFCwdDR4jkZT398Y72cBdKRt3cLHCK7eYZseud5c/vTEoT\ntekXXdoXHnMzkpejMx/zP8JIKco24opMAKjIRZQM0TIAOJ2BmWsRwADAiQy3b4k/nrsWgQxipCAH\nkqZi0ZNoMMGQi/0vYsGDiPHwtj9Yjfv98gN9loFbPD4nAOd1mP1rDA7gaA5S0xHEYNcmLFvtcwjB\nk39IIsWEdORkYEI69m3jfR581oy8vLyWyvL4o1si2F0x9WVosYqnygGg04b92/BQhrse3p9k1GNn\nDm5cgam+hJXSAPxmwhjT+mcPL39qRupYAJYBWAexmE8mFxyAjzbgrx/IRDA0o7wb6WFghMAYKba+\niZKzz9/LPjOaYYSQBcPmQm6cTLFH3T45/eS+vNtrjVidwXtxlKNG5h0/Vjx63LF+ZPDZw/U61JQj\nIWr2rSv1/fikF7eFQBYIpCuwJQsKpUQEB6H1w8xmS+nFR15RNBTzLjR5EPT9cISLJRf0kMrW9DEr\nQjAvBFEi7B0MTc96DOXnsHgFrloalSrjBgNyzhneSU3xOquUzRVsjzA9KtJdEiOJ3f/ZXxKvuD8w\neJ5ICACSVPmX2XvFkomVxuCCXESIpcez54WGfH7ucMKRbUcDBBFFO1dGTUxFQBAEECegcCfGzUGH\nFS0WDDqgeRzCIJTq0GBC/XmYdoGJQLQU4xXYm4HJSgCIlqJA7fYehUtwPgfx6YiRYepKWPbC0YIK\nDcbcgIrPkKBAuBSWLbgiE6GJKH0JIwIgvl7UfW5UyitJ9oauqnU6+q1zlPDKnovG4AUjYBG6nAEi\ncgrO9oMZgfR/7+P6t8E7b8RiMZ/r4Ud25Pycpr7LWiBlZ2drtdqSkhKr1fqt6W9/Tm9lGPhMelKp\n1Gg08gQNqVTKSI/04wUhgvqFCQGD8Y0IlvRfigp/xQhDAnNHQuOuAMkfnRWPfc2EzIF0usOKyZsQ\nJUd5BsathYhBSSZSViJYDIcNFRpMeQgASrKRpMRIKQAUZiNFiXAJAJTmIkaGGBkA9NhgzMGVqwEg\nRoo2E+bfh74eHFOjpRL738Ldb/jEjzYb05SI97wXsxGVRixYiSQZUtOhy8auv2HR3b4QWgzNPxTM\nQK7E8ze2EXOSGe3d91Mulycf2xJw1/MIZiCV4bQOpUaMluKtNbhn7RDZFifBR28iIgK/uWt4t25a\nM+b2ByNO7GYTFVEi5PRhbTgAQJeLvh7cfB92ZWdEKd6UIj0MbB2iAiDJy8bEqRfbuZh5SpknD6o0\nCIwA28bNH/PYDb+aNSfod37e9RBGfuns/3DMxDDxnHAgcw1GRuH3qzE6Fbpch1R+oAVzQyAJAgCM\nScX+XPTYJHvU+QtXvjtakTltLCwmAIiRAJAFYlsPmBmK8ncyZs5XyoOAOovkYzZGMKCZMFd+y938\nbcZe6AYi0urLbBFx0hHuzHhIlKbnbmTTFiqDASC7G9VjZVkHNmvCJVeczA06q0O1CWe/nJiY8k5s\nmmL2UiTJEDNmBAQ5Vz1gnHNDWm9IU1fw+JBOzF6OOCnipBg3B9VG/Go5YqRIloMJQrIc8uVIlkN+\nK+pOIToVl3SoM6LqOGoPIjgcYimiU1Gci0Q5AMSn42w2khQAwMSixwr5WjSfQcVHCItExCSEpaIi\nG4lLkfJ71L4KuwGS1ahjRWNeGkG26fTJqeBra0TVU9u5noARXQGRQtegMGCgH0ecP4VM4iGTyX58\njvjPaur7qVW07w0/J72VxxC/yFB00cVimlpPyZU0p7bvuvz+u6sdyraByjONSzhq6790v6XqvpPN\nT1c1ryEisqqpy0BEVK2mdgMRUYOWqjw+Hq+RpMng9ioTUYOBjB6HPGcm/f/hCWg10yG/S6c+oO2P\nUq7K7UXgXUe+hx5quyOiIi1tfYZ2se5ERESUpyaj1tt8juMKPnn7zPpVdFTjdj7xGOaCIqIdanrq\nxuE2Pb6cJ0doNUPKed4EuYkSmS20yuy538OkOLlDU7Tb96tjH6qPfajmBmjdJc5rN/Pi9Muq5z7I\n4w7uGlauribri6p958xyS0ayAAAgAElEQVSl61T+jHZ7rpotMBORpoUMXeR+kj8oaX+OuZdUlfTM\nvoINZrv7Uf0woYJ2HC2gLZmUpfI+qrrBrtm/i4gMvBGPiDo5dt8+g3/ao1qz+bN3VR3Elpmrdqtp\nO0tPzu/a/bcNDZ6n6uJoF2vwcD20Djryvsrf0Nf6karyQqHPMJWr8pnjaOjAqDXQOb8OP6SiBgPp\nWdKz9Pd5ZPKw9vWsm1BDfkbjfo4KVlChihq0dIGlTjMRkU1LLRqqZenSA9SiISJqeoHqV1V3vV3a\nuepExQN1DQv0A8+YB2YU0exikvWQiX5qaLXaH2czwJ/T1PeLQLq8YDabefbOPyHwdNHFIpreREnV\nNP9S/w2F/Xda+paVDJ6+0LjM7NhPDXO/rrt/78BXfY1/JCLqMlAtS0TUbqBqNRF5HcVEREaW2v1m\nBB7+riOiocesO0qJx/8lnI6qafsTlHXHkOfOUfkEDxE1mt3yiRdUFQYqM1Ce2iuDzWbzEBmWp3YH\nLeWpqewb33m2ij5/c4jQoiHShbQaXzyTVxrxMBloh5pz0ufZ6ioPYY9zkqqSaAtLtWZ3VSaDoYtm\nGYjrJ9JqvIQ36uA6Mh7ccI4jIpUm31DX4a3Y0E7qaqKPNtAD1xq6SO3b7pVUldS7wd00TQtVfKHh\nnWS2rNUr860ajWbnzp2vnG9+rqDKn22oaaHiS+b811Sdzy4d1gGawwc/rajVdPgV5alZSyvnjZoq\nM/T/Yc6WNzO0H6t94jxHZejzUAqJ6KCaGs0f9NHNNtL0EDWahxAW7BztZ3kmkffUd9XfRURDx4ZF\n6/YYEe+kfJaMLBlZuqCmL1f5yn3rIQ21G6hBS4Uq0l3jLqxUkZOjXjOdm0b2w0REjSri1NS46kzf\nhyc672i0Lz7e89B5uvI0Lcinud3UQD81eEevwWD4Qcl4P4+pj8dlbbL7l/BfrbdaLJbc3Fw+F4hC\noeDt0f9XyNR53OiCqBNJ/YgNENhjMLtcNCG2/VSQoD4FznPMxKboO5a27BONeg6DDjSqMSYDThuq\n1Ri3FgDOZyDhenSZceGvaCuCsx6NOpjeg4BB/VHU6nDhQ4xbgqhJAHB4jdt1BKBchwEHJniSAO1b\n4wtUAnCExXUZ7uNkOaqPIn4izu5GTCpGiIfb7gDsYnF3JgAEMZbwVKdxn3DHq7sTrl26dCkfNCYW\ni4f4nybI0e/A6yshU0A+dPeXfdmYqcSVy2C1oN+BaN7MaESrFcs8BjSpDNuzEBGF7VlQrsAkPwtw\njASlRubYzsmxkdprVuVxUEQgowZrE8HMVGALixN5mHcDJsn1VvwmClvqEZUmk+xTY1I6LCYcyl0/\nf+3amWIASlnitt2HHKPHS0MBIKsSa/evwbS5GD9ZQg7ESLIaoIxEZh1WxiImOgr7t0EqG/23Jy8l\ny78ef1WB7ktT8uw1VHbFr5fX19ffO2eqOSDyUGVj2sUTzSNGfdnUO/0LVjbYnnjv2sfDlyi+fpeZ\nMsfbCEdUavZx08pJieJAT9EEuWzXa9uc4bO/zEKhzkzMR9f/5V7uyNHFaxHMuO2E3e2STqsxSmoj\nSAOAVHmVhj2drHxpJORBQJgYF/VIlLlfQRCDBpNknEw6VW6xWGzdjtZTe6OlUzBCDAx1EQFDrHNi\nKc7nIEUJAAEMOiuRvBQpSxEhBadH1YfotyFShk4LgsUIESNchsospDyEBCVQjaZ3ECDGqBVozEbU\nUsTcgcanMVCP8KUgB0IXS1qeGxX9Vq3w1Jig/ob2EX0YCA5EHXJH4fpAhP/Dj+jHgTfTjzc7zA8R\nB/lfPfUNx08tEb83/HctEziO49OK84/93RdQx+nqApp7km4uouVn6foq1/7Dznsb+x6ra55X7Txb\n0nFvF/VRh4a6tESeRaWTI8ONVPYCmVRUfAudX0cNWmo8TCY/RlODp/fK1dRwmGq0dElDX66gXbeT\nniWjmuoLh6x5z2mGLIeHaU75aj6vMxHRfpbeX0lfbBjSjByVrdbCJ85wh5fnquj84SHmuxzVEO4W\nEVUY6OPnhtv9hmUZP6qhMg/z+5t4bAGdOfwPyvPU9Ng8Xm8w99IdJnq7ynPprSfoL8uIiHMQe8Fd\nxlaQtqqT/ryCtrDqajJ3+1VlMqi3f6mupnVnuN4NfszALBURGbpowVnStBARmc3mzievLXvohsqi\nQiLStNAdJjJ0uQ2S3vGsaaGz5qqmR+btfOtV759w/cTuOOJVdAztpGkgMmpVRyo5Priqi6ODasq4\ntmvrOlUjGbpIVUlEbh1IVUmc1xaX46a2m53EttDRfO2QeLJhrG4aQqLjOK7y9RW+0dtqpnw/JdU/\nKcMww6/e7yUWqsjB0QWWClV00MP19yr0RFSpIpuWKlVU84rb+NyhoY7d1KiixmdpgCOXhXqvJ5eh\noe93l2jx+b4HTjqV+QPzjw0uossMP0Qyhf+uqe+f4xcN6UeFzWazWq1Go5HfgkUul/PP/B3XTYew\nJAC9QOwo9DgRNIrWtThfHUvxIWjPi/hLTPd2Wdhfg5zN6NEjciXqM+DshP0UOjWIuwVJT4CJgqAf\n455HuBS1m93shj4bKnMw/iEA6LKAM0J6F0ZKESoBdwFKNZIUiJTi6MMYmYyG07BbIWRQqXfnuANQ\nrkMggxRPPoU6IzqtmOxJ3zBahoYCOB2AADFSi8XSuO2lgbHTuyKTFi9ezKfhEhdkY95KpMxEogy7\nWMSnIj8X05RIkvkab7dBq8Zd6xEWhX1ZmK4EvpHuAUCyDLs24the/NGP6cdjXzauvAnHPvMlfuVx\nLBf9Dqx+BzkZkCvFAbgtBmdbYOQg12ZCcQukU1BuzOiUrZ4IJgAAFFHg9m+tCBgpChScTlQsjfOr\nLUYiN+4or+0co/t4yguZPobFpHR8uqmMws43jOhwEFP0xRXFe4Kvvzsa9sgb7wZgaoGVw8wISKan\nY1+2JVTCjw3Z3syCsxcMqcq7Fs0yVlr5FNTSRIkkWswevaiclGjsgKUHyxOABGm6buO2jvDZ+iy0\nWzF3Oa59MKj4y6MJyoONeCcNAJAqxy5WuUCZUQNlJABAIECTJTVW+mwzXoxB2hgpDqrd3QsgiMFF\nPcQShIlRZUSDCT0duJgHmwVFGqb268juCmGF9tK5fFuDJZoRovhzhARj1EQAiJOhINs9MBgxavUY\nJfOo1AJ0Wtz0maAocEaMX4UEJQYbUZ2FHgtGLYZNj3AZRAxCUmE3InEtei+i4UVELwcjR/uHiMtE\nXwla10H8NBAM195wwXjRYHh70IUw4TUhQlP/oLPC9VmKyG94/NTgqUkAvAyd/xz/FVPfd8QvAukH\nB5/ByGKx8LvNSiQSniT6ryrvWjzIoE6E+D4MhmAmcGXXQGasYEkMejcEXfNbR0NKgByBMjStRZAU\nHdkQWjBmK0JTQa0Y9QgANGRhTAYAWHMRLkO4DADOZ2Cyh+dtYjEtw/1//vzv8m2YdDdkv0OSAgMO\naB9CeAxCohAuGUK6A9BjQ4Ea1/ilTz2Y0Z7+2Bc1COyoFX39ftiIyNERTPi19/m+RpMOQQzGKwAg\niMF0Jf7+B8CFBfcMab/XfBclccskaTr2qXHH2iG32W24pEdMFOJTEeb3wfNSZ8FyTFHwgsddXm6E\n3eYWaZJUfMryl+TRiNuT+aZ01fTJUiZJWnwgL3GSbFIs461NInS0/vrJN4qcr00hhA+ZWbqrTNF7\nNwa89FlWEZRJAJCbm8tEirtPanfaJJvvmpzcWNSt/yr5gbVIlkEggNViDJJa7Fg3DVlliApjJC0m\nq90xxtGCPHXHgpXbY5faIqamF2VLb/gdP3Ly8vJk41Mk1vPvNYeec0Wu5in3xTqm4nistYhdkKWc\nLeftbNsHU68ozg0dIwcgCQXglkDpqVK3TIqTXtyj3jlauSkRDJ92PCwKO59HVxOqjTBoEC1B3l8Q\nMtLdvOm/RvMJXLkWE5SYoMSsewJsxphlb0RP+NX5C+cFAoi4EwH2FpRq4HLgYg6cVjTmY8CBxCtx\nPsdNqxspRYkaSUoACJWgMgcJPDV8HtoNSFmNmmw4GtB2GLE3IkCMdh1CZYhQIHQ8Wl+Bqw0RK2DL\nxqhnEFyLwXcQ+AQGT0EoCxksjBNu7BO8YIWyT9jTIxJU9u+rOjLy8kmg7OWIG41Gq9X6n6cgumyn\nvn8HP7WK9r3hctNbeYLN98W0OUxP5tGNerrpEN1cTp8cp/vO04r99GFLf8Yu144u50XqZMmhpfZ5\n1PomDXDU4TGJNHoOePMdEfVzVOExnpSrqdXzeF5GExFdULtj5omo3ezzNpMfD8KipUMq+mA+tVl8\nV/NUvJWGd+eaPniyo+Swz6TTYqHX59MZPwvbsFSt3pKjajrqZ/z5pvmuyULPDc3c6r2TN/r5cyjK\nDEPMemUGN/1hWDkRGbXuku0sdXKcg1SFdNhKqkLyReluZ3lWBaunwkZ68J0CrtevhmxVVq6h47yh\n9o3H3/6iQKX3jUzWSLbXVJSnpu2soZVUhe5f9L6r8h4TkaqQzlZztvvT+Cd5sMBTvs/KHfOx+DiO\n211Y+/BfPlBfIDqophyV29SWo9LWdKqriYjU1aSudneFqpA4h18vEfE8C7aW9pnMtO0pOqp2p0M9\nqqbsW4Z0S756iEmWz+jxf5zW7nn8bIGfXZS3zjUZ6JKGdivppIqMLNVoqd1MFzyvuNNMFzxjzN9Y\nd+FuurSKbFpyclTpN6Tth332OiJyPEF9KnLupn6WXAZn7xUuspXRtXtJpaMVe+nX++hhnrNKlxnM\nHvwnlVyG7fq38YtA+j7hZdR8v5n08mn9Hlp6gG7bSQ8304GzdNVFyjxKfz3p2nfG+QoRUct11KGi\n3kxyaoiIOllymomIWljq82PN8vC6jvxngVaDOx6eviGB/M39TQbfJEJERpZqDrvpvD2cXbehNn+3\nwWBwb21ZaxjiUSCPuCrR+hjDWx+kYfBeOqNxy6RhCcV57GepsnC4P8lfCHVx7tTjwzI+uJ9ETdpt\nw1l5PLaz9Po9/rTyNadowymiBjNtZ90pJIjMHLF6IiLuwlnV+/lcL/G5kV56a+fbXxRwHFf7xuPU\nYDa3E2skItLW0K4ijjbdS3//I1+tVyat+5rr3ubf4Zr8N1WHP8wivcZfinC99KC6wNtArpdYI9G2\n5wyrrz156pxP6ndxtItVVxNbQbxY8vqBvLKNZ+S315k356hb97K0n6V3f+3z99A3vEE0lDVHQ7mX\nw057OTKyvuQF/osbIjfDs0ZLRpbyFFSudi+D+ERBPEx+tXkdSFXPux1IAxy1sERETeuo/ioiokGO\n+llyqslxF7nM/VTM0dJ+Kq6mJz6n+w7SHbvo5mP0N/J8oZdhgrH/ZOV6OUx93xd+EUjfA7xpFn+I\ngW6gLz6nZR/TfXtJdYb+qqPfaOlQLf1p0+DRxr7HyakecF496Nju/iaJqM9AdjURUY/B/d36ry6r\n1dTteUgv+dufCE5DJZA/L9w/qxCRd4VrNpsrSwstW3/bs1nuTpRJQ3ev4OHPdODVoM13DAlkIV7M\n+H2WlQbatGxIMBMPb47XCoNPJn1TbnVxtP0F2v6P2A0VBnp65hAauhe7WHr/iWFlWguxeqIXrqX8\n3XyJ6pD7EsdxrW+rHv3gTPnLj5w4VcyLHzeyVUTE9dJDh+i1zwxuyoZfoh1DK83PI0Mr0XaWGjw0\n9yItET2wu/zYpnVnq4c8IddqY3OO8HXmvKV2K465qicO9Voabb5l0C52X4H513uI88Yh7WKpy63w\nUaWBclX9r8zaptHYOL/3dWhoR/lTEugbrG7O7ItUo6HEbiK6oOaHjdlsVqvVQ4aNVwIRUbeZqtVU\npaFCFZ1bR/l3+8q9SnyLxi2HbFoqmelm63hXWv1vkWMFuQzkVJPLTC6D0zHbRbZu2txFL3XRq5X0\n4km66QDdlku3nqU93ld2GW5S7uWI/6s//DkJpF98SP/+3+l0OoZhjEYjz1T+IVKGtKD2NN4khAUh\nKQb1nbC1YJUCJ17HlU/1Z0chfDAgWSCaJwxYAWcGAleDHOhRI3wtXDbY1IjNAICaDEReD4cZdRlo\nOwJqgb0QlmwEhaFNh1YdKv6GMTcjJB4iBoWZmLgSIWIAaDaiz4YkD8faz6tks9n6Tr7YO3k17xhL\nSEoRd58OvD4bZ7Pdvusj7BBSeJsFdUZM92ypF8RA0I7+ZnS3uZnB8DiTJvtRuoMY1BzGgNOde4aH\nIdd3m9ef1N2OIAbTh9LBnQ4c2YikFLeDygueH/FsLj5Y7ds7g8fuTCxehSkL8VmGz7EPSMVIPpL5\n5oT102t2MzMWZhdixSQY9Tp+M+keDN5x9Jn3b9u7vTbu7Wv8aguPwgU9M05my80OabUm37maGcEg\nTYFdLF+5lUNvC87XQrlMAXYZ+jpwewbipAAKz9Zto1sebHufmezjdjOhIUxN4b78Mqfuw6tvUAYv\nWokwMWJSb2jbxXbMf+h6uf6oDsDHg7MWFf9t1Z3K1VosHQ8ASFPg/UeY/uZJ9bpTbWi/avXHzKI/\nRJlCvD0TyKBSjziZ75X5UxLwDVY3I0apxs3kxlBiN4BYOQpZJCnFYrFcLrdaG+31xadKW6RSKaLl\nMLFuj1GgGK06JC7H6KWIX4huPVoPoUWHEanosbgZDaEyNGQhUokQKZhU2Pej+zAiV8KmRpgSolkY\nNICsEDBwaRGwcjBgfDeeZ/DoAIqAwRC0hOOqTlQRXA0wxWNWKEbyVBqGYXQ6ndFo5LeK/snh5Ygb\njUaTyfTdZ7Ofkw/pF4H0ryE3N9fhcPCbSPIBQz/cn/ah+zM8FwoIEJ8EcxmuCEKCHN2nkLICOxhB\nUkDgnwcFe0R4HAO5ECkglKIrA2FrQQ5Y70bAGPSeRs829LchZDpCpKAyTNiOSCWEDIR2jHsRMUoE\nChA7H4Jg2E0wvwZbGQICwRnR3wnLHsg9lIFaHUKidMU2ADabLdiUFTVnNRMpkclkDMOgMBPTVoMR\nI0mBUTLsuR0RYzHxRl9j/KOUANgsqNVj8asAcCILE5RoscCgweLV8MfBDNzwCsYpcGiTW6hUGVFt\nxAK/9DxREnQ14fwB3PLn4T14aBNuXQ8AJh2SPWLPbvOFQKUphgiebWuQvhTxUgQx6G6HzcrLBgDY\nnRmxZNVIUUdW98Ku7S+cGEi+Z040vwMN02CKuHAAt/0p8NC2/kTFxWbIEz0PEC1BQd75PbljZ82R\nL1++Zh8UKWAC3bQCW7hUXYD1NyIGtqrNGYmKeYhNhEQGwNKGT884claOyi4QKJL6feyMFovEvKe+\n6Gzp4r8tkHuc4SPEKNWlz5iSfSlk5XxpboPY5ehObTsTOTJSMU2ScQLKmmwYNHA0YuHDEfKl77TL\nKnvw/GwxynXDJZB3pyL8IxEFAeqMiPdM35Gpvtw//GlpLhI8/dxZ6Q4qAsJHTw+v/kQ8bYVerxeL\nxUwIA7sF4VIACJehJhtRCgAYdS3sOozPhE0PRwPqMhFzE4QMIIDDghApgqToPoy4THTmot8MciF4\nEgSpgBXCxXDtADUJRStEONcHsxAJQkQJESOAPgDjq8D0g0pwbDzmBPN7OwFSqVQikVitVpvNhu9M\ndv2hwfOeLBYLz8f71mXuLwLpcsQP9Fb4bJ7euDZ+y3N8h1Hyn+M9PB2OThciYzBQgvQZaA3EnBro\nlWCCEDRC+JILL4vwrGDQikE9ApaT/RXBgBWuKjg/RfhMjHweITK4DIh7FyFStGcjciVEYsCPbjdg\nA5eH2JUIlSJcBlsBZn2AaDnCpCh9FqFjYD1gt9WZLO2RjXuP2qa7d3x3WkIZBhLPTFSrQwCDWM9M\n1GOFsBfSG3EmC5GpYMTDQ2gB5LO4KgMAIiRITMfBDJw/jN9mDWn/4Uykr8RICYIYSGQ4tAkSGY6r\ncVPGkNu6bTi3E5MX4pLeJ3UAfL4G81YiUoIYKVot6HcgUgK7DR/57SIYxEAgQLEOqXJsW4N5K5Dq\nqSFJhoNqpKaj39G2LaN52k3afENKUsL1aSHZFakPTSbJmBgAMBthMeKWtRaStBn1K2+WGZsZY51H\nJnXb2ku09paGSfepmEAoUsAegXICECfFQXVGk3Lt1WBqjPEF6tZr154IukpmyeF1QfYIlscZZBOl\nkpRE9oMipSIZ3TYc2oQGU3ZcxmxJf1270CaKkUZ7GiuRMSezmTTFA1qkReMReVjkzEUt76wSVR6T\nVu05FH/P1CUrkH47jrC6QOUoER6dAuAbOlAgA64SjBihnrH9TSXJmOOTWO0WlOUCfXA0o9OCfhtK\ntyAsDp0Wd4jr2Tcw7jbPIwqYLpM0fanD4bB2MR3G1yInLQcAEeOjdwNwVCJADLEC0QsRaEPbAbTr\nEJYO7gtEKgEgKBW2bESvRuiVcKxCoBgiBQY0ECkRcLcTqyHsEeEREc4NIqIPh0fgKStOM5gUipZO\nMP2gkzDOhU/35fUSsVhstVp1Ot1loi0B4Be7fFo8/NMJ5xeBdDni+30rfD5Tb6yAey38Iy6g1HhW\nhJ4BxEcjsAzSZbDvxBUp2Ho1/uzEyTD8ZRA7BJgsxGQ4MyAIp0GdK9AoHLEdQTIIChGcAcCtMAkY\n9BrhtCB8KQDUZSJ2JQJ4ybQJ8asgZADAnImU1e55oV1fXNV33nGVePKKDnvfxI6MgLB46biJTIwM\nDhtK1JjuUWUcNpTl+E4BFLKYlYFwCVKUOJuNrzdgyu2+ZTWAk5mYuhKM5wMLZFCnAwHhsYjwrPqH\nxTbxMkn9G9zxti9zKw9+B9tkOaqN6LEhRgoAhlyMU2C0508lMuiyMDYdumzcvHYIHTxOCosR+zfh\nmvt80ggwGo3M7KUtG+7rP7131AOvRyamyGQy3jC7dHZs3vbjxp6xcssW2KxQrgLAHsGD9yrwWYZ8\nidJYB0sbZCILdFlsyNoVC+LRYkGMlAlEeiI2nYAiBVts6b+1boqr16PbhlvWxkczpiboRfPkpRvW\nlCvWXg1rrUUqlYpDEeVsKtmXm9p4AItX5zoXOwagXCiTl7yR61QygZBEePqnwXSsXtw3IJ4QAZnD\nCF3WCEYQorgjUHHP7jKn3W5Pk0TsqxC4Wi03z/N8Jt/UgRLlw5WkJhOsZ9BZiUt5aDFh0I7Tr6P5\nPBztABA1AQ1apN2DaBlGSpE4F+1GRMnRZ+MHB5p1sH6F/na0fY2mL9F+nglhxGJxZKy08PjnITGT\nHQ4HEyNHBYsYJQCEyVHHumVP6Fz06ZCYiU49ekywbUHU7RCJ0aNHsAwiMYIXw/UlXAchugMuDUQK\nofDWQewhnBZgTABGB+CaNjyUhI+asXsU5gahehAYgP0wCuZh0bAvTiwWy2QyPkjjewwS+g/Bi6V/\nzhH/RSBdjvjP34rFYuFfvF6v50NWJRIJH8H6fT3kd8RmsECLCKNHIqgRQcuR+CH6luC4HJv6cTAI\nVwkRTDgsQEKv65lAjEfAwy7RCZHwdQEYODMQyAuhXAQpECAFAC7L7U+yG+GwIGopALTrECRBqAwA\nOox2u707IM1kMpWXnIrs3jt24Zu8DB45cAYJ12H8o+i3oSwLpg2Qv4xgz+fqH64EoCQb41a4XVAA\nYmRoPICeNsSnu2e9Sh0CGZ+dB55U4nMfxYkshEYhQoI2C4o1vtgmHl9vwqy7YNrrk1IAPl+DG9a6\nU9cky2HSAUCFHt02zBjqHJqsBDsLd/5tiDTiUWdEswnXPwVAp9PxoYu8NX9k4YcjJsox7YZhv5DP\nSBix5X7TQOrYO1YByC6AcgIkEYBAALNRPlcmrDG26XL+npT5u9mMeKwUx9S86sMEQhaHJ3chKcxx\nVaEKC+7HnFv5OmXxMDYGfX7Gfme6cGyi2D2eWyyS0o9s7a15k/8HQYyxDquv5G8XKITGbQ0yWRyY\nQAAwBsjH5LN3yQXOI+puMFG/WY0ZN6FAzUxbuigtckPB4KlKe1m76PHgnT55g2+Y6QBwlWgrRUMB\nKnWo1YMcaNDiqr8iSYEEOVKuQed5XJWJGBnEUoyaBFspYuTuARAsRo0GCUpEyTBSioQFsH6FKzIR\nKUOCEnHzgHaMlMNuQaM2AYdooLnXZq5oGIwXEwLFCORfjcdAB8BZCQAjFyNqKURG9OXBVYvwlbBl\nI1QBgRiugwjKhCsHg6cg/JVAICHUCbGYcHwQBYFYRYhvQWYsHmxHvgj9kUgYQHsfegtQNQuzho8E\ngNeWfuR03d8FEonE4XD8Q2H5i0C6HPFvvxWj0ehwOHQ6HZ8/TSKR/LRq+y582YZiAeLD0NqHkXJM\nO42zCkxKxTQRXINoCsa1TtwihHQQQhJODBQ9NijY79aWXDoIUyGUYdCGPh1ClwNAayaiV7vVoG8Y\n62w2m8lk6ix6mZm8FoBUKk3u3xIyJcOtKjltaNBg7EMAECpBoACjZqDpOFr0YCSo1fk2UgLQbITN\nhBQ/SXA6A9dsRooSJzLgaEeYBOdzMMtP0vTaUKrBzIcAYIISlXpU6XFJiyWZ8AevME1eggiJbwI9\nlo3JSsT6vfRkOT57DAHBUD41vFsLsjH7Lhi3DJl8ARzLLm8fqB23JOQr9muOWbx4MQB3Jr0vM3Hr\netQXI1Lilnle5G8bFdTeOu6GLGNiejL0lVg+HQAQJ8XRHDSVxIS6DsSt3noYKl6WxaTieDbvBmMC\ncVFnlFvUiU+/h/wtQ/gafdhXOW5O4zaJfLbFYpGW5aLBhJsyJOMnniw4/9mlsRuWee6MkeJkjuxq\nJW8DNNah8IjuOuFXCBDF35HxXo1HUHkSylmbQ3oFoetvijl2/Hg0OnpC4t3LLK+ZTgCc34ZKHXob\nYD2Cuc9DuhhJCiQpMNjt9QYBQEQqzLk+C61YBlM2EjyrhKh0VGQj1rtoEPjcRYFiNGgwegXCpUhQ\nIm5hoLAlTHJdvNBwyXQmvGtza7sjLGo8QmVoVLuVJEYOLgthvLEuHQPlCFmKniz0FyPoVxCJIUzH\nwCYEroHoWiddJ6eavE8AACAASURBVBDOEWGJC28F4FWgtBfvheGPvSgagFkIcThmdeBgLOZ1o7EX\n1hr0TMKU4eOEb5NYzHtxLBaLw+G4fLQlb0StXq/3TlM/J4H0/5T27WVpazSab7/7R8QFKn+F1mbR\nc+/SuhzatJU+z6FnOWpro2wi6qKXeiinke7uoR38KRENEuekPxGRj/lN5AuM7TFQh6eNtSz1usm4\n3eXrzp457O60Cpb6vbGrWmrw6xOTynfJP6KWiErfpP3pPgovDeWLE5GRHRKAYtFSTvrwBh/6RoTQ\np4so/80hJcMY5LUGylNRpWFI5Kz/nZ7gXB/y1e7dEMq0fHgNT/ztPLWz+fNX3GT9Eu2QiF3/rU6H\nhe6e0VCJli/n7HTj/5Clye9qwQe0YSERqXLIUEEq79a4R9X8rhxfblQ3f6HmukiVQ1SidVdF5C4h\nUm2oLN61o/L1Ff4M+COsarW611Dh90fNZtrPct302jbDkSyVm5N9SEVEXDep8jy35anUR0l91Pe7\n3s+f8IXK8eztHAUZ1T7Kfo2WaoZ+TcPe7DdfdK9fh/tHFBENiSjged5eVPpd4tR1pR+XH3mArGq6\n9ADVZbrLu7RuqjcRdbLk4oiInGbqmOaOuutnaZAjIhfpnLRugF53kc5FOiJqopea6OUBam+j7GZ6\nrZL+YqfSQnrqGL37Ab3E0pp8OkffhsuZI87PY7/Qvn888JyC72I0+y7LhOzsbLFYbLFYGIbhV8GX\njw8TQD2atmKrGD0jENyL6eG41IXOm/G0C++LsbILTwgQLMJcIDYcy3uxLQS/ESLSTW0Ag4FNCFjl\nM9aJJBi0ofVPCJ8PlwXtu5tqz3b1Bx86WpgcVR8YOmbspBukUik6jAAwUg4AThvqcpDi0WCsuYhS\nINTTq1WbMGaVW3MC0LIbczWoyUWjDiNlw213PGXcX1tq0CHtDhjXI0Hhvm2YMwlARS5SlAiNQ6PR\nvR8ggN2rcbNfYroICUQByHsWt78zvAcPZuDqtUhRDHHF1xnhdPCMc0sHzMdzBwcHu0UR8mgE97aN\nWPywe/0bI8XJHIxNRxCDz9dg8WqfVhSTCkOumzFhyMUoqZvyNzadOb7pxlsU67ZAMQVMMHA4Eylz\nETfu0wPWm66XypIQFYasfVBOB5Ll+JJtPKlrSVROXbqUCUJUGLJOS5XtbmtexmdYewuYICihMRz8\nuj7995NmzeP/P3M3FMr0OwTvbKtVyBLB8Im6R4hxJkdYtq+kErYZa+Wz+NckQLuFiZVGhWKbAYoU\nbK9IlVpzl93kc48FxE1kij6US0dc0m4ecHQ50+5gwgKQvBhhHv+Ef14fHn6UOeDblKSRsm9RkmI8\nNYekojUXYXIAYOQRro+ip2yyNIs7aJqwe32wsB19JoQtRkeOW0kKlKE7G8EKCMUQiUACuD6BaAFc\neyFSCCAdxEERHhvER4MoEOGmEMzoxok+XAAwEre5UG1DQThu7UGNEMF9EJyCOQ0TIjyku38IniPu\ncDj0ev3lo4t4uRh6vb6wsLC3t5fX5/Cj8K1+OFzWAik3N1en0/Fuxm8dB//XWPGS+r0BQ26DzOWH\n9XhXDFsIYuqQOAP5RbjyVoyPQKUIY+qwbRAJMXjBhu3RWOVE0QDKgnGtj9rg0oHsoIvk+oL6dwoE\nqejNAe2tahzd28fY7fbejo/iUp8KDw9PSxWGi7YFB/TDWYluHeo2InIOhAwCxL79ZAE4bWjVIcET\nOdSqQ4jEnf4OHlkVIkG0HCNlOLsa3fWY8HtfY4qyfJRxAM1G9Fgx7jakLMXpDARHodk03JnUYUGj\nHmkrIZZiwIE6PWJk2LcG1744hKEH4NxmLHjGfYMXPJcvVIzA/2XvzOPjKuv9/559JvtkazpNl0za\n0jLdaMrasCcgSGXRVhGp9+ql6FVE7u/aVK9LryImclVaLmoCirayJUALlDVTCqVpC2SSrmlpk8na\nTJqkM9lnn+/vjzPJLOV6vYqC9/J55Y/zPOc5T56zzPme7/b5mtCZaNxKUSlnnL6Gmm2Ds5RgfaD4\nstUZBx81Z+Zx4LnkKPNzy3l+Iy12VqxJsASmmul0KNHV5FpjsXx6E8Muk8pXWmqpeJjyvgrtklUU\nljhVtvSD1QuvLAcs2WSn0XAcW44nsPsX24OfvmVtNFNJ2bWp5fzy/k11A6W2WdhyPLy2kfnl8y8s\n+Vmt99KLrSY9dXsxp7JysYn2BtuKRZU7jOVLYcLDW5sxmvYM5pX9090tPdEJMVtprqao3JKBa4TN\nu8jJMd+iraVw0ofXVENnPWfepuyBnKWfSptzgc/n2/G2q3ioTlsU7yqLIz8lllcUbRrNtNbGmloT\nrgbMtuh3htbEQAOZk810K63V0cQjILUYV130A0hrZrA2ap0Dgu1ozOZca1b2dJ/mgiMt9Sl5XzR6\ntxA6hX8nKdehMhFqQW1GbUZdQvhx9FVEGgk/K6oslXq+iqIIL2n5lvC2m7o0PiP4DZwTxj3KKwV8\nt4M9BowByCRdC0OMv4LzuvdzJiVBEUvKa8Tn8/GRiRG3Wq1er7esrExZ3kfzzfY/wIetov0xVFZW\nJm38ESTprdXV1R8IT9TfDN+UX39X7v2hPPhd+XWdVFVIU5s85ZeuTrm7W2o65UER8ciTfumSBGPd\nV0Nyf0B+NB68SUL1Eoma7+rr67s7t3e33xVN/J4iE5I4u4eIDFRKyC3eNhmoldYvyLG14qqOUt7F\n07cE3MnNeNudsnewUZrWRy148fwOCpKMPAd+LnVnlQZIGtPbKM/clsAOoGDn+miZUUd1jCwgngZC\nxO12jzb89vWfftH1yNr3MbaccUr1FcmdCupuldp/fv9d1asSWCRih6wXEdlZ+egjje4REZH1W5Kp\nd1r2NR78bWXlNvE+m2yibGyV3/xs2y+eckdNkZPGxgO/+Mc7fiVtfVI5RV837pYd692jsnVzrTKy\ncpt0v1CpmNrWbxG3Unl2stpvvUOqnp088MVvSUNl7NLF88iJiEjHi9/pPLwrgSYg6XZMki9EkTRD\nfHk9kWg5iSnE1zeRxEfL2yauuHn64nYNr4/Z1cfXyvB6GauWcBxPY6heQtFpx8OXh+RhEYmar0V6\nZb1ir+uXn4rIaflhu9wXkJF35Tvt8uwhqX1Dfvaq1PxIfnC3/Er+h/hIWfs/Ntn9jdDQ0FBaWgr4\nfL7/VkM6ePCgwWBQYvaBqTJ3fxefDBU8qaVPS1YKkVxCo1z/Gd7J4+Lj/LiIfxvjiIW1IfqDdKdy\nyTgP6lkZ4A0396VSruZWL++Y1Pc1NXvHvc8E/NZ33u4vKyvLMD2akfNzi8VCyEnEhbEMwG9HZUJf\nAuB1EPGQUorWjMFC6CBzHkJrpn8rp3+FNpuM5dFQiHjNSWnO3xhbvbI3zcr0clpraNlMXmksSwmi\nabPauC9K13YWfInW2pidJ54hQkHEx+hBMvLJjlODlJA8JftyeglDTkI+hl2MuDzTS10ul9PpdLlc\nZrM5c/7FRScfTLvyG6bpCxOutdfDnh9w+XeSFSxl8vmfRCIJuTgKDtZRdD6jJ2OJn1PIyOXx1Xzy\nZ8sutG7exlN7+fonMeeZOWEnw0KKmR5HXp99a6Cip5tVnypOMCeCJZtvP1b4hbFvFk7TcFUsW6ut\nf+Tz5l03P3rR76biM3QmOt80Hd5qLL7g9dQ7G9pMtpksW2FjXyVF5eVLufu3rFoB6RaO1TqC5S2d\nfONT4HJwoBpPM1dWMm9V1ECapOJA1ryrM1t/ZblwraIBmM3mP6YkjToZd/LezwicIeyjtZqRFnxH\n0UL37xi049nDyJuMNOPtJugh4uHUA0T6mGhhsJb0RfRUk/tJeH8lKZotpyk2scM8rcxmszXsH8uZ\nppkIXm8MbyF0SNQRlXYxaiuhajTlgKisQkB4XM3FEV5Qc0kKF/h5z8vbOmb4aMnhn1t5RY0miwUR\nQhHGMyka5mQuOUO4d3P6cv4H1vuPVIz4R8eQ+Jfj70Mg/XFznGI8fffdd6+44oqpZJG/+WL/fPyG\ndwY5ZMCUTchLAeR9muEQ3n72FPOVMP1aMtJY6KYmh3Uufioc0GIOM83AVQZWvd1U7ZswjA3NCgT7\nF5zrykz/itVqJVSDZg0qM8BYJemT1rOJatIm7VTuTeRO9rs3RyPxtGZSbdBD7hdw72CwlsE95FwZ\nM9a1VTFtFcZJf8OgHX121AIDmG2MvE5ghLTiaGh4UtoscLKGgnKmXYLGxMFNzCyPjrEkEvw0VVL6\nc0I+OnZED3c5cDlYElfeJs82/Op3jB1v2bVX+3w+pbqHEqzP6xVc8e8ceyoWca7g3c1cvAGzlZM7\nSLPEPFhNNehMFJUl5+IA+2sosFF8JS4HRnOC08vr4e2fYL2MrNmYzKWL2FrL8mIs06ColF2VuNsZ\ncXmW3N3o4JaraThhtqkSUn8eeNRz76L7Do0vPZWzymqNlTc90T3Q+W739Z9c8tQuQ+myyRWmZJIS\nyLn0zsd30drB3TeBzoSnXVlV6QI2PkX5Ug57itter7u91ENzNToTF9zN3FUJbh7O8gMRdRRZimwK\nbUHDYZfVWx+VQC47rdWMNuPt4tSL6LPRm5n7BcIuClczvZz8UqZdweBrzN9IXjl55RTcSPAEM++O\n5lynzEBvIXc1WeUYZzH6OBMdTLQwZCfi5UwNmeWoTZhKGKyMeozUZny1GMqBWbOXRgJPBOUTLa1m\nS/E9kcg96vBRVMWosok4UNs0zPayzcgPhSMRnoywTMtsH4fMrA0zOMLTaVw9jUt7eSPIcIjxAlY6\neWoeN3Vz3Ej6KTyDaBYzg/8Jpr53t27dWlJy1pfK3wr/mwTS/1qT3d8LnOL+ujz4ffnPe+TJe+X3\nP5UnBuTQ2/KvfbK3TZ4KyrBirHPLo/3y0375qVPuc7vdre0Hdh38uhJjo5jvRCQk90fELSISbouF\n241Uir8xtj1lrHNXR+kpJTEST0T61kdZ/UUk5Ja2G6R9fZQsPJ71Us4y5UlcVN6RSjlRnczHKokU\n4yLidcveb8nuZDJTaVgfC9w6Ui1HqmXCPRWSp5QSUOKLvDu/kRzlJSKO6mhBhLijRER2rpfexoSm\ngkkzVxSDbTGm0X3ViVVQ42abcMuLd0SD0+L611dK4yEREXn6s7L7fhGp/LW4h0REqp+R6ifGpoIG\nWxoad22O2tyq73u6sSU293d/dnDXbrfsrKzfL48/0RaztnXVjxyvX79J1ldKW2fyqhpb5RfPyxO/\nr5enViZUiJCzYuHkLKNcfI/PLR21A9uvH3ntprEDv4jVKDn7dscjPlxTRLoro+ZfBfExdf42ccdd\n1TPrxF0tA5UyUCmub8rQpA0t2BZlChaRcJsEq0Wkvr6+r/8nXd3PS7Ba/OvFty46pbzplzdFJCAH\nu+S2MWkQEcVe55Wj78i6gIx0yYt9sveIPNAlLw7KgVek0iF7n5Et/yG/WSu/PyQDyRfkT4biHfhQ\n3kJ/p6++94X6wxaIfwxWq7WmpqampuZD/Pr4a+OHPO8lrZ8sC+EJpt3InDfZdgH3D9NiZU0vW/K5\nuYNfDtCUzbqWY6Ezh5cDkay6S5fca7Va9eY/pHAXEGGniiIVZoBQNboKgJATiBroAo6oNxgIKP2T\nX1UjtWRMBi+M2Uktj9pMAE8Ns7cwp4q0EjoqOHorxRWx1XfVMDcucmHQTtaKaHqjrYLsEt68miVf\nSTjh1mpscTMYzahGUA9N5vYrY+qYWR4z39nWAby4usPyOUUb9ng8ZWVlZrO5LKXeeMlGzl1HU2Xs\ncJcDoKgMwGRm4RqaagCaali4JsHmdt6d7K3C5aDdzvI4frwcK0CPg/01ABfF7Vq4hr1VAF4Puyq4\nsiqqMBWV025XhlRVUPsSvpcruORbBAfsDVhnYs4EWHcL6FNr2lbT4xjfW9Oy13HFXRXKDOs+l1n7\ndIdnBMAzQp/bdMWlZlLMZYEfz4vYHdOrMFsBZpY5Xqvf8A9UVVD9BJ5hALKK8TiBEr298FDF566E\na7cw4Uy48ueuo6Umocd2J02J+V46Lfvv5GgVrTVkl+Te+KIud1Zg1hftzZN3R6E9ncLsO+mKm3PW\nuoRm7moG62LNrHKGopcIvZVAW2xXRgV6yK0gt4K87yMvM1LBaBVhJ+HJYWorkTagrKxsWt4GU9rL\njoMl6KsiqvzhyKfCdOq5LMCbgI4lqVwewDnA/TpmBeg2cm4Wpa38IYN5w7TM50s9vGoiPx3bAL0G\nDIVoFxD5Ibv5c6HEFJSUlNjtdkXF/Bh/Bj7SJjubzWa1Wm02258SnP33qLeu5SkhYkC1EFMftis5\nNIb7Um7r580CLhvF0Te63x92H2k/aei4PceiT8k7c860WyKm5lRjvpFFQQ6G6TRwueCJ8AcNdwFR\nolWVBWCskoyN0X82vilmuBusjBnrBqtiHHdhD2M7yJq0iY3Z0Vow2gC0ZqSd3OvoexRUGK3JcXdJ\nIePAcAMFV3J6O/rsqInvaBVFa2MsD8DJGgpvYM6tHKggrxStKRZrB0yyqucbunvHyJsxv6B4uRIn\nCdBaF03L1ZrIKI56OLwemqu5JE5MpltwOTj1Nio18xPpG0xmBg7Q/Cuu+3XyvSkqpW4N+UsTpJEy\nW3cD2lT2/SQmjZgMb5s0D5arqx45vra4xBZILT62o+4zX4pJwZKFOEct5n1ffrbjk5+8Y7XJwNQM\n5eGfbHytfMVCKn/Hp85vtuZAfz0jJy23/GTTE6xYiMlA1e+5+nxVnsZJpnXFYip/TXkpTC/B/s+c\neffhV4pv+OqdpnwrRjM99ljkG2fFwgFGc7RnuIX3NtFnJ3c5GjfnbiS/VLlNWp3OJC7rorK6ujqT\nyURmienUpljcdlIYdxIxXZJ/yGiNZbwC+mJG6jCVQIJ1DrUJ7SiGNRhXEfEQPCqRf1ep0lHbUBUT\nrkNdAhiNxukWX5PD4w9ePB44ako7E+QdA58I8JqOpSZKxng1m3XjvD7OG+mU57DUwyE/bg1GoIjP\nvMiDV3BbF4e0pGlAD0FGH+XUpzkn+WH4k/GhxIj/Pb76/it8pAUS8Kcz9/zd3ZXbeEsYMhNIpdCH\n9TyeW8qVRtKyyeoeOOIadznZVjB4pzpvfGHOqiLLol62FHIHMMyTZr4IeHk4jW8BIe4VVobpm6BG\nFX5Kpb1YaPcFv6VT5aMWwnUR37dV+ktQjaAyc2Yz6avQWQACTvwtUY47YGBjjNMh7GF4C9l3RneF\nPUw0kP1lssrxOXFtYuhd5vxL7HySAh8Uioeiu8gr59RW/C4CPgIepsdViBh14nYwezVaE3mlUZl0\ncBMXbFS8g2az2efzlS40paqGc0r/3XD81xiySbUA9DsYcEzJLYxmUNFj5/gLXLwhOUxcAwd/xsof\nJQRWAD4P3S+RWUDeiuRd/Q4ys1CNJPhdFOTZ2H49q55McCYBBStoriHXRv3dXLxhxSWWzb/n+Qbz\nVy6x6wri+OJ8Htvgxl8e/keDhEvLihNmyCpeoXnumu8su638cGrP49qBtzPKfk7ADZRfZdlYTc9p\npuVw4cponpDJSHYmr9k9y8Y2YtC92HX9vEvKrLMmZ0tKDzq7x+9h9AhHf0j6XBbczfRysmx42+NY\nfCDFSmc1eeWKd9bn8x19d0dqVqExfXp0QHwYN4ns3SRmGkECLZDGzEht1F0EaIrx1kW1eXUJwUo0\n5WgsGMvDulY1KwltJbKHSDvaVYAKa5hHCi23m81mwjNdpw8ZWa0yvhbAbmQ1EKRHS34G13nY18Xb\n01g5QV8+F/o508OrM7kug2mH2XkO50/gGWJkPnMDDPgYf5WJa5m6iH8OpmLE7Xa7ctH+ql7tv7tX\n3x/BR9pk978YP+dEmFMh0n0syUYs7Jl+uLTD19Jr97/V84A6TxvO770y9YHZc4qATOadYWcOZYCb\nh7NZF2Z4gH9RkT7Ogx6+N0wI0vVcpsKo1e1QczWUhHXLMP0YTZnoVkvqFzF8HZDwc+GU1wjZGa3C\nW8eZn5I7aUAbs2NakWCsy403x1XGRmaVkW7BvJSeSYNPvLFOQWtlzJpXXEF4jBPfYl6ithFnvvNM\nMFT0bVfdVfs9c5xOZ0lJiWKUs84w01UbPfCSKlpr8XnweWitZXlFwmwzyzj1HAs+kSwnlME3PJdg\n1lPQVMnyDSzfkGzL6nfQWsuSr0e3k2bbV8Fl93HKThJMZvxneO2fpzSnijvR+vEvuJN9lbHDmyqH\nije4vZc7j+kciXPX1NlHWg9eU3TYsP836TkzCz+12eFw2F1W35EtwOeuoPYJVisCfWY5rXVAibpm\nma/yjeCGutEHi/X1JYvjplNsnj7P+/S47DRX0FpD8ReZcQGzV8fGzFpHZ3XCsvLKGYyerNlsXnFL\ntfe9B6bSMEmxMh5nfFOegeDkPzVa8cXtzSpjqD7WNN+JZ/LKa60x6xygLiYStQ1q+KewuhldBfqq\niHquTz4T5hFAzdURdgLZmUsKZ4tKMk87P3n80JIevjzO3iw+O8yTwCy+r8Zwgt8UcGkPL83k+lwu\nfZn7ClloILWbFh+D57PyCE3FzJ6Napj233OcDwIKE5XH47Hbz3paPsb74aOuIf3p+Dv6THiPsU0c\nSSGUHcxKmWhdZghlteWackbOy7yy37o7P2NmPkvTyM/G2sYf5nJ7iJERGnO42sUTId4N0DbBST8Z\nudyt58IxHHn8QMPsALs1zNFyDjDO/SncpcIIhLlfy7cA1Nawular24KhFEMpkS2odfh3EmoHGHmB\nnEmDm9eBiqg5BRipw2CL+ZzG7KhN5H6ZFBtdGwmNMbA7wVjnqiPdFrPmAe4nmfFlOn4dM+8craJo\nrWcCxbhhsVg03uO5c0sKgw3m+ati+srhjZwbRwAxs5x3NtJjZ8V3k3WakzXMvJ7Tr5GdqO4oFBJG\nM4bsWMAesLci2q81EfLFQpwVOvNLqgCml0bjABUo0ujiKvLPo2NHgvlL2Tt6DIMea8wweO3VbP6V\n0VZ4ymQI43UpM//gXtOGClZ9MrL1P08E9YNtbUeUjMvS0lWvvOz/fyu+M1ZSveXFGZ+4Nk8pjeP1\n+Y7ufeH320ru+ap2x4uUlECmlXe+T38TM8sLLl377f8wFeRz7WVxnAgKzlaSPI20/Ii8S5l3J/ml\naE3JKg68j5Kk5EFPIk09YM63mvOtih3PXLgiYQajhe57MRgIOAk40abQvwltatRzGRxCa46SzWvM\njNtJieN0CDujdMBTShKoMEd4Ws3VgEqz0qd6z8CNEX4DfRGaNFwLaJijMtXnm68onHbZOwfqstJm\nDIfsqbrFIU7rmZnG7CBjA7ytIyNCwMKlIzg7eG8eF4YIBvGN0LuEy3ZyXMMcFVlv0F9CQQ5T5tQ/\nHwqlwpS2pOQk/OXTxuPv6NX33+JjDelDwB3SlBEeK/AZh4Pj5elpqeRfVXx+Wp7RQb2BBYu5/TSH\nZ3JRH7tzWA508UsVui7+c5A2C/+Zx7d8BGdyF+Dm4Uw+p0wb4E09lwFBDmpZqiYLiPCMmmhNmgg7\n1VOs++JBnU3Gf5BRReo6/N/DaGS0iogHEsMcwh68jaSVxZrj9dG9WjNzqhh6BL0vdnpBD0ON5MaZ\n5pSSNtlXMncDxyo6Tjb3HHqurZ+aJ+xms7msrKysrMycRsbYK0xfzbIqDlREYxw66ygoT/A5AdOm\nE+lJyFgCzjgAppdx7gZa4jShvRXY7owOVkSRovEksZLPLKO7Pqp7tdREpZEC250cnfyKb6rk4qro\nUUmRFMqByyuiUexxWHcHFU/8w9hbP2LAwSVVdjsrSnA47M4z/NN1z9ZUF5aUlAElJSVv/rZuzbXH\nWbBq2TLS0oI1D0dnSF94c8B55uab+sERCJx+4zUPR6soupK8YvJLPB5mpbHuVpheRl99/L+OqUR+\nD0eraK5g5qeYcy25ceInScXh/ZQknTkhlkEZMGRffSXZI1UDzic8nQ8yZKejgo4KAk603bHB+ukY\nh6LbASdpVoa/xEgF3jpGKtCMMXgtfjshJ4Yy/HHrT1KSeETZNrHWR4OGf1Xz5TA+D18J06lhdpgO\nZcBly34SVvcaAzc6Dj3v4TdACtO9uObzZRPT2ngcWMyn09C00uimdwU3+Jg4RX8RM2ZiSMU3G+PX\naOYDhaLxAzU1Nf/t4P+7+LDD/D4wfMRjH91ud21trdvtvjzUcG3olc8GG24YP/grefEl2TUu3pfl\noWZ5ZZe8JCItsn1U+gIy8p48MihNTfLgUbk3KMNt8tS49IrIoNiH5G0RUVgjlfnHZHNYPMr2VCB4\njHc1cVtExL9eoaQUiQsTD7tlrFr6PyGjW2Ij46PAZZLcYQqj9TJcK0G3tK+X0UaRRD5WkegukcbG\nxra2tuZ3Xh9+8wZ5587kCxR/lM8t++9IDhBXMNQondUy0pZA2elzJzSnDjxSnUwSKiIN6+VItZw8\nK83e65Y3vyGv35EcGy2TJAVnh00fqY6yxybxFJwVTj12oPrR9T8+bq/5+c8fXXenJ0Ye4XW7d/1i\nfYWIyLHfrndsr4+ezpHK+vr62lpRmBPq6+W1xxqja+6tf+m+O17cvkckylu6vkJiZBRJnAgiMuKU\n169JIDxNItqQszhPRaSzWsYTuTZa1stoo7iqpbtSuivlxC1y5tlYVPdo/XtNDyl5CCJnRXXHR2+L\nyFh1jDdERPzrxd8oE7UyUhnx3B72flGCtdGH0x+7kvFP79QTLiL98tMJ2TIqP/RLw4REn9szUhOS\nIRF5/cR39ox+53jn2+PS2yZPiUi3vPmG/Ngvo61iH5W+PfLkHnlCRH4vT3eL63F5+WVpqpLXvyD1\nt/4J1Kt/HpQY8QRejL8AH/FX3/8IH5vs/rpwOp11dXVK5cfS0tIvmk4Nq0dMkpkalItMp69TnatB\ns4udi1k6RmQuCwMMjtM/g5KD/FyDTk/uBP7FfC1MYITWfC5SzHd5XA+c4cFc7gLCdIZ4z8DlwBTp\nKhDhIQ1fwzXxHAAAIABJREFUV2FK2o5VqVAQrES/EUBlQmvGaEA1i4lqQu0EPOiLo4F2nGXKAzzV\n0TiIrHL6t9Lza/I/PWWsczqdpoGqHr5Qv3OP8oVYMKPIoOkmxUDasmj0BGeZ+JQYh6bPsuI3CVcz\n6KGzmrkbMJjRZ3NqBzklcJZZz2DG66JzByZLArtrdK+WtkdZ8ePkfq2Jtl8y8xqmXZy8K78E+6e4\n8D+S1bL8Eg5uwpDN0Wou2BjrzyhWDGUej8dkMh17/p6jfdrlN371Vw94J9S3bPyB0WyORb6Zxg+d\nf762qfr7z7n+/dav2aIrGWjoGkn/5KcWbtrM3GJq67jzHgtHaxg7hMky77q7/+OBjMIZfUFD3r6n\nXrvg2pLYgx9PHBf00LGZ8aOkTWPu19BPLj4pFo6zguWAzMmieWMO+rcy0kD4KNpspn2JjFIySsm6\nBu9rMb1Zb81RP61EKDQ0NFjnlSQELKjN+O0YpsotljBWGY2pA1Ch9qFfhaFUZbw5rH1HzQ1EGgjv\nCMvesMapVi1VYVJRFOEZNcsBDXP8vKBDqfmhErLT+EKAN4Z5XMuVWjL0zB2m1kRJUc7VPn3HaOhU\nl/uATqsz64rNzHfTdobWaSzu4K3zufUgbwqZ5zDvHQ7MZaYfv4eh6aQ7GW1FcxmZyc/DXwwlo9Zi\nsdTV1UXzuP8CfDRffX8ePhZIHzw8Hs+OHTtcLpeyntLSUsWOvJmRBtqNYiwMjlypV69SL3mXA6OM\nFTLrXGx9nFrAkhO8nMWit9meyuzF3N5N03yu06BXnElADw8X8Fk1hnH26pilZyYwwYNKuF2YziAH\nDVxDNDPJpPyAIzSBR83K6BJD1egmw+dCNWjKo2HiQLAS3Qa0VgzlqNR4/wVtUTT2CXBvivmZSKy0\nBKTaCL2Gqn/7qz16Y6bH4zH5G8x51qzCq2OB+0pVwIIv07sZtQm9JcriWhjHvwD0bWb213E+kPCW\njA/kS7HgdgCc2kFBeYLjBEi10F7F/HUJcRZA0MOp31FwPV5X8iHNFSz+Ln2vJruglF0zr2foYFT+\nxSMygeN7lD0R3+fs9Rg8jsdebtabMiynN+UtvrX4/NVms/GCFeqd25tv/nxRwgwajAe/8s2Xtswp\n1pSWTjot8ks5tDFr4eryMsrKx2uqtaahnQw1kDWLWbcBpSuNv67Oysqbozn1gHHO7IRComnFtP+O\n4d0MO5i1jtwyMpYlRL5xViwcZwXLDdYx8hy+FtQmCtaRUUrOGsYej5Mxpmjl1qm7j8qkcZkybYo/\nrL1HlaPfpc+4aHKvL+YfAkLtsay4OAYgBaIaUqlvQFOq1t7uVb2mpU94XTgWoVnDjYCaLD/P67kc\n0DNzjFdMlOhYquXKHh4e40g6y/wc1TNXjdHEdHWKd1bGxU73WwPBw6dbDOdYSoJM+Bgao1+DvoQb\n7NSnYfbiS8HUS+90Cgbo18IhRgrILsKYfN8/INhsNp/P53K5/pJ6gB+dV99fjo8F0gcDpUxGQ0MD\nYDKZlIKzxFECdxLawHupojL5fKu1+bka9QlassnUoLmalXuwl1K+ny1eImZm+Bk/n5vdOINM5LHg\nDM0pTE9h+jjHhUA6S4Fhnszic4CXrXou01BAnGQCwjwSzUyCMA9qJ/sJVqG7G5UJQDxEGtBOuovi\nc5iAyBZSfwEmxjeBiqG6WMYSydqS0+n093x7UP3Njv7CKxbtN+cWm7Mt6cE3KIiLrJusCgiQUUrv\nJrTZdFQnMOMBYw4A89Xoszm1NfrePDtQIqeEw19Dk8XszybfjxMbWbyJ9k0J8gw4ejeLNpNlo7U6\nQfB01pFXSpaN7BW0VMaoqZkkOprxCbpqk2WV30Pfq1jOId3mGfG5XC6l0qjZbM5fevOywHZLmoui\ntWRF12zKzMoL1W96dEb5NWmxycO+fd0lV14ySIq1ocFfUqLUlsB1cm+eZX7N73W3fk7b/uKP5y1I\nZ/H3Ob1dOSOTiYmJ0FNPyb9877yswbpu3ywlGdNkMnG6jtNbOPcBcsuiwvtslei/UpJUQ/RvYchO\nRikzv02oidy42xdPNAcYbNHKrQr0VjzVisSyWCyzipZGPE+80ahDKYigtTJRHdOKtFYmtsZ0JhkC\nn/LgKfHcU87OML1abtZwlZpL/Jwc49kwb2uYo2NpgN1KCI+fVjWZGjK1ZCjEj/08FyAUpCmVC3Sk\nn2b3DMrmpF3Rbnop31LY4/APGU4sTLlGT1oTj8+jLA1jG53pZPjxTyPvNKcyyNaRPgI7cF9FXgba\n5GfsA0JS1MOfESP+sUD6KOJvf1cUygCn07ljxw4lS0Ohf3/f5+liWtOYiPiMN2sLMnUDg/jTSU9F\nvZC5vTiNmJrYPwbl3OakaT4XGUg9wcsLuRFQYlWBPp60sBbopELH8jPU+xgY5oUwoxPsHaRWx1CY\n5gC7J9gqmMN0C8PCFjU3qZgOEHEiLWgmLS3BjQnCKVyLdlJTiTjAg6YUjQVDOaEGfE+R9o/RwUS1\npbq6Op/P5/P5TOGG6bNWZhWsLLAUkVbO8Fb6HqLwh3Ff0NC1EUucRpVVTusXMV9D+pLYmJCHvmos\ndwMYLWhM9O9AZ8bTkKxFhTxEjhH2J0udtioK12K0kFqcoAccq+Ccf4++guMFT2cdAQ+FqwC0poT6\nPSdryC6JKkZJtVD9HlprHL6ygH7ugOM+f+oK5e5HSwAEPXRVUbiKnEvil2aZa832/L7hvWU2m46j\nVWTaPKmffOSpWWsvf8x2+fVOZ8jnE4tFAxzs1qZ0PNE7OnuVdbPPcvtze0tKSvTxesyjvx1+6KEU\nDGad523znFJznmXPi5s1XQ9mzV3NzNvx7IjL/nk/lSi+x+ekrwZc0M+s+8kqR28BknUgU0mCBFKb\nGH0hpjMBkSFUpimJpdXqrIU4DnsAj8djNmfHlCSViUADOlv0cVLbCG6aUpKEdhVZCu2Ihtletuq5\nENBxyRgHzXw7wO4Ar42zw8j1aoxGFrmpSWUlYGDGEA0FfDaFeR087cWbxUIT0/t4K5N5BVx4ggaj\nZSizv6RHv6fzTZlhLXGwdzElp2k3ktnP4DJsbbgsFB3Ffy7Z7aiew3sb2fyVoWTUKq+UBJX3v8PH\nAumjiL/ZXXE4HBaLRUksUNg8S0pK/vhHzUp6h8Ph/GBghdZ4gW50gFE/uutZ0M/gfGbt5lUTqcA1\n3DzCwDjDhSw8xnNzuExPmpPa2dzkx93MvTryhmnrZ58PCvmMmUt7eWsW30rnylRWjtBWwA/1XK5h\nmY/hTP6fjqUBWoZ5R4U/yDtB3lEFH9PofxZdVpInKbQ5JpyA4CZ0cXlIkcfJeIyxzRPD9rHA0jMn\nKobkUxFVZklJicViMWeQzhsxigdA40PrJTyOYXL+wTpSbKTEqTgBJwYT48cxFkfjgIGujRRuiL0E\njRaGHXTcx6KHSYIyMruUExtjMmnQjsYUfc/qzPhdRHwYLXTVkFceKzY4JXgCHsacCQlS6Va66si0\n0b4ViAoq5RCvC6/LOcDBd9+YE3rN7iqx2WzTZxTl6PvM+daYeTDo4VgF5/2W3ieThaXWZDEdaWmf\nFmz6YUHJTeSXbtw4tGFDpsmkZsJpO/+cTZtGVqwwmEwqp9M51v7u9Ut2cn71tJm5DkfA44lYz8lT\nnD1VVSNr16aZzWqATBvvPYD7leIiS1ZJpbPX5zjoLDAd1eVcEXc7/gslKTJA/+8IDZG/ltzVeF9P\nEDBJOhBniah4tgVl/BQ1KlGdybrkTsVlUrfNMSNrhzFz8npOVdtTIO1gVuiA1SwPc380zhtjkHe0\nnKOK2s1UQbpTKNNzeYCCYZ7zsU/HrAgjU0rSGeyZXKDGkE3pafZ6OJTBPDfNOSzXonfTP5Pl7qx3\nVbrIEuvFL9XsSrMZT4aPnae9wItnHgte5PW13PgYB2/G+jquAjTdSCfay/mrUzYr2tLU6+VP5BH/\nWCB9FPFXvStOp1MxxWzdulXxCVmt1j/xK+be0PhuGbEGRudGUr5kMB2iQ0/OrSzbx7sLmfsIz9/I\nNUAu07LIaebV8/hEgDEP7TMoOczWIY74cQXxRcheyFozNjfNC7lLjWGYkxECZhYBvWxVfEvEBTsA\no7xh5psGLtNzoR+3aApUPCU0g4vQDpXuG9FVhu1gQjP5ZklyLIVqRsYvfGtPm+OIyVp8rsn/3eyM\nzMyZX42J4XiKByDiwbuFrPuI+HBvIq2ckIfBWgomHVcKFAajrHL6akixoTa9j9ACgnZSzkWlj362\nK+irIascoxWNCZWKYQfpNiac9NYmZESl22jfRHiM8ATTEgMc0q2cfIAz77LkB8n3LNPGwfVkLsIa\nE7F2u93pNmW7606HZl5k2Ma5G6zzbdErMBUCwKQ0WliFzoxKxYQzJgUVZFhtnutfGdwcTrG2tASL\ni3U2m26KEKG83LRx49CKFYbjL25advkVaXlehWunpERfXT1aXKwzF847ufOX/tSVMYfT0A5Gnqd4\noxJqr2hpg/3drvaGYX9O7I2WpCT11RA4RvAIRQ+RVjJ571QEnLGEs7MdRUkiKoltgbPMeuGTEnxa\npVUhTttCk897YHTsnZHh3vTUAVQmgi0xgRSXeESikqTlnCklacpjBJgo8nDAwj0T7A1wcojtmawC\nDMxw83oqCzQYRmmfzU297AwT8NKXybwC5h7i9RWs8dDuZNctJXcZxlPChFr6D3szRhexuBdvPZ23\nsOgZjhaSkYEujcibBOaTOuuvZrhLgqJnT1mA//j37scC6aOIv8ZdUWrDKNZ5RQ36b5WhJLRH+Dqn\n0wPhkojuC6mZOzjxSZZkYByjf4zxTs6spKSA7OMcXsaFbTimMzeVrEYeMZAxyHsDjJXyrzks7+Dt\nBdygQd/H7jTmpDAd6GK7lc8CPk4FGVR8S/HBDj6OAEYWAWGGJ9iXwZfUXK3mkgnqVOpcUb0EqLAS\nqkY3+R6fdCwpqfjvHd9P+IWcafcovIKGlCKtoQlVPqGWaLDDmB1tdkLo3ehG0jagMqGzoMlmeCsD\nLzDzuwnmO08NGWuib66MUno3o5/ByJ6oh2kKU0m4vZtIWxGdYcxBwEX2pIBJsdK/A42Jni0sTGQL\nBYy5dH2PBQ8l94c8+N8kaxYZZ5ED+VoYf478q5y9OJ1O5RlQTt+YVVjQ921KHknOjlJkj84ck0bE\neHdiw4IeWiux3rZs8ejWuml79ozefXdWdJc+W1Fizl82sfuRivbgFeVr1sRz7ZSXmyorh+cuzH9v\n/xs3fWEFGhMhD10bSbFR+A0GtsSfSHre0pzg0+aiNcq3ttlsjqpEGTb6tzJYS+4a8m8nfCJBAYrz\nA0VhsCXoQGeLKH0xw79DPY7fTtABbfh+S+gU/hdAhTYnrLWr1SsAVGZjxlcNqU9npl3Q1NQ0OtqV\nlZ8aUP1EpeoCV5g/hDg9rt6jaEIarkpSkhSBRJzHaLJ5KoMrUll5htNu6kMMZnKBoiQBaczq5mUr\nazKZ5+AJPZYM8kYYNJBSyPITdJzk5ArjJW3649dn3LLzxCu9mq4rvZecNPWdJpCFUUVolMgYfgOq\nHQRuJ4u/IZRvi5aWFp/P90fseP+bBNLHeUjJUDjkPygm+QL/6dnerotGTj0kR/9V3h6RwGNyoE9G\nfya/6xbXM7JPRPbJLq+M+2RsnzzTLPu3y2MN8qSItEpjt7SIiEsOdck+EVGSk5SZu+TFITmhbCsl\nKhQofPtnb09lZohISDrGZLOyHRb7eOiqUPi+aOkKkfYTa9qdTcpFEBEJVMYylkQkWC3hRhERf6MM\nr5ewO6HKp9I/kZjlM/ZbcV0Rq3whIhONCXkqCk4sSMhwEpFQ3OST+UyxjSQ0l8qE833629eLpz5a\nPiOpP+gWT714Em900N29/67a2lrvsW+8T7nh9vXS8f2EqgpTOPwNOXhHQg6WJKb4DDXG6jW0rxeR\n9euPuN3+2OCW9cqYr3z59X/6pxfjRypwu8M33dQbTSQaqI2egoKkWg8iU6em1Olob22S3vVy7OqE\nYUkJQyIyWi+jiRck+f62ibtafPUyUhn9G75GfHGHBKvjH5iQPByRtsSmW1lVW1vbSVesPm9YPGOy\nOSQdXnluTDafkc+Oyk+98lxYPCHpmMoxksQHO/7hf08e8UpPpzzYI4+elm1TncrGsPS/IVub5RUR\n2SfPKJ0vyzO75KU+6WmW/SLyqDxbP+bYtuelP0zseVQc26Xll9L4nLT/q7y9RlrWSI98eFASGc/u\n/9+Uh/SxQIqitrZWmeEDLHlu8QVn+Hpsw70PydH75MBT0rZdWt6V7n+T10bF/4o098uwS7qVX0Kt\n/Mou2z0yqKTHKvJJmeeAPKZstMlTARmRRMk0JG8rebIickZqlBrnElfvXET80jWVQiuJeYWKcDp4\n6Ln+wW/3D3775Hv3T5WFFhEJ1Usw7lUeccfnKkrYHR6+SAKvJ5z2cOL7K+yO1mHy3BGTSX1nSZSR\nSvG+ntyflJOriKL4t3Dsn9bK0LPvI6imBicd5aqOpvGKSHelZ8CpvLV31T8rJ++I9idV156a5H0l\nYtAtR26Q7p8n98tkzm+8NJKotHC7/Xfc0Rzr7LxXjn6msvKE2+3/7ndfrq3tmRqp7K+ubm9s9EjQ\nLYdWylDiZT97tRInzNzV0rd+l/3Z9v1rksecfS/eVwKJiL9RxqplpFI85bEiW5JQSlxEJOKOleNS\n9sv9sZ3ijm8G5MDR1l8o1a0kMb9byftWRNGYbO6VT4/IS8pHVfyzfVq2eSflRJe8qPxAvNKzT+5S\nPuPGpbdLotJ9nzyj/LL2y7Zh6ReRZtnfJz37ZNdrst0r42Pi+5W8uluOPuTaXn+qqWLouT4Z/Zbs\nekUGVkvruXLmx5NfdR8KFCmelFH7v0kg/d+lDlJqD9fV1dntdqfTuXr1aoUJ8YNSfv8lEBlXj6WE\n5LOp40ME8zFdTn4bZ1oYuIEFXnwp6PPIOM5hP4ZaXpzB+Vdz43EOL+MC4Bh7zuNa4BjPFXM1MIEL\n0JEOdPNyEWuUfzTMO4p1IswwoBjrwgwH6VK2gWGezOYOZTvAbiWBA7Db7R5fzXHHJWmpi/Jy7svN\n+VbB3BfDmgPCJDlmuD4WFA6EauIjHUTtkYxPozpJaJINZbSKlERH0XgNqetQm8moYqSCiIfBKsyJ\nY5S6TcYryd3A6UnK1JG6hMpMgNZM6hjasVgERPSUnHgbybyZrPKEAjx9NeSuiQ4u3EDPJNOPUpUn\nrUSJaNq+P1/ZVVZWdsWCE8yZNPoZrYQ8hCYvRUdFdDatmbQV0dj06Po9dFRwzhYIxMZPYe4GTnyf\nQXuCOTGrjKF6s1lfVXVuRcXR6GozLuwLzrBaU8xm/eWXa53OCadzfIqQ1OEYAkqKG+mrYf5Wgu8k\n/JckGtPofymn56ucriC1jGlVV1x9s9m6YeDEj5UA0eiYeIZTBfriKO+cgrCD8FZGKhAPqetIryDj\n16jjTl9TRiSuqTIj7qSFTD1Riltoqqlj6aziUSVp2m63n+641M8L0VnJDDOkYbaJ21O5y8ymMXqH\nqR3iqQgjCnEqkM9N/WxTtgu4tJuXASMzFvFvY5w+yOMjDHpxKQPO5dI2mi7iFgOmeh4HlnHhMQ5d\nxBUmUup5PhWDjcJRfPMLisIW1brM0h+O22/qmvEoI4tJv4jQdgweJPk6/62gGPFKSkpqamqUN9iH\ntZK/Ev7P+ZA8Hk9DQ8NU+IqSMPSB0x0eCPNPkdB0//DlWl1Iry7FuJy8/8TxBRb1Mnod81+l+ROc\n9xjbImjOY/Eg7qu4ZIgzg/TP5dwRBjy4Clk4Fd0AtFOr5MZO4PLjnoplyOV6LRnAGR40s1aNUdnO\nZp2yPcrLeuZNCaf2vp8e3D9fuWIXlEYM2rkzLRcrV2CCR0yqCjUXh7lfaFeHGmN10Dkr8CFK2/o9\npT4NwU1IMaEWTHGxA347KlPU1aQyoS/F/TmkgIybE67XVN0mtQlNNu5N6IuZaEgI20ORW6fQzgGi\n5TMUDFYyrQrAaKV/S9TVlORnUpvQZjPS0NUzEDrz6rGh8paWFiVYf8G55xm1PpPGQ1812auixREU\nZJTStTEq5zJKY4HUKTZ6N8VK+3RtZNa/ozWTYqOvJtkpNdqArx7rjxJcaKCsx5SzJDtb3//uNwsW\n3EBG6UMPs+5zjZhKnE7n2rXnV1aeXLEiy2TS4nNuqpYNX9gWzVTVms/KSz2r1oPXwcQLaLqY9siU\nXDemTk8NvWieuSaWu312YIJSR1wzhG8HoRb0pZiWoi9GN5ktoDITtqOJO01pmYqRA+ILFwEqFkb4\njZpLJpsFEV5SUraVDoWMzmq1etwTAdULg73zlAdSx6xRXlGcoFoyPOwt4KtGFumZe4qXxjgS4LQB\nS5AzGtK1ZGgweDiaxiwNBj1pvTQt5fMe2t30jdOawyIDqW04CllYwNx+QsdwzGT2GKNGTPNZ9AYd\nAaSUhYfpXMSsg3QsZua4PsshYzMnQq7TA8GsFEH1KprVaPhQUVJS4vP5gB07digxVh/uej4wfNgq\n2geGP6K3Kla4xsbG2tqzHAl/HehHgqZh/21e12ek4z0Z+b2c/Ec5fFzGtktLn4w2SmuztD8he2pk\nn4jsl+ZB8YiIYqyTOAN3i2z3y6iIDEqTSxpccsglh3bJPe/JI+/JIyfkyWapULZbpKpPNiu2C68c\n9siTygwhGeqXnyr2qMbGxq7Bjc7O3VPrjLfdKRb8qWZQdo+Hrw+LI3ZW/gRLTkgeTtgbcYfHz03w\nNslZ5jsR8X0jwXYniUXWFUw0Ss+V73NZp2aLN+UNVMZqsStQDGuJVjXFytGz/47+fbe8z8wicvzy\nmBEvHp56afvm+1jDFGI3Oct546oWb1tC01Wd4Ax7v6VuqztSW9tTWXmirW1MGak8z263v7LyhIgc\n2Hazp/mehJnPdv/IpI0u5JaByujeJOI4EZlonPISKaRqvSe2xPxGwTYZqRR3mfh3JRyVePeTzXRn\nD0hsJvAontVMsiFPyBblcZVEd1G8dTogI23yVFCGT8u2TnnwsKyP71e2ld+Lsv2M3K94j/qlo1Wi\nN/ol2bVLXmqXE8pPb0x8T8ieZ2TfbjnaIf0d0v992SYiG6XVLoPfk/bPuZq+OPrexYEzD0lIPjKo\nqqqqn8QH6HH4UPCR1pDq6uq2bNmiUqn+FPl/toakxMgpcZNKdP+fUnn2L0fRmfCoJnKlajQ3NfB5\nzLvp1JE2jxQbhiF8VsxPsy+P9BApn8IWIthJz7nM7eBkFtlZ5PRwLIO8DPJaeOsMzhFG+2hrpnEW\nC4BhRgooLeKaHJb3cGgZ9+SwPIflvXQWUBpk0M3rXezQM61/Yn//4ClHy4Npoc+bjJk2m63AkqJL\nOZmfGTXBxbPeAePcP8XyAEywJVVVHeExYa+aSwjVxGtLgkfYp+HTU+PDqsdU2ttVoedRWaLDRqtI\ni0tsAkI1aD+PYRUjFehLUZkIOQm1kBJnFQRUO9BNQwIxphlltpS1UbIZ04povosSg5eSqJEYi+lY\ny+zNjuYWl8vl8/nsdrtij83Q7UnNTCH9uuR75nWgSyF0MnkqQDyMPMKsXyb36y0M2RmsY8b/SzAh\nppXQUxlVnvpqAArWoTYlx0Mr0Og4dQ+zHliwaNYbbwx0dw9/7nOzleQep8tstVpNJo3JpHnlmceW\nLGjMX/wljHGhjGdrNsq5n/oy4dOY10XPJZk4DnSWqVA65adxoiMUOP1gltmD3w4+UtdhXIU8n6gD\nDYEppgOdxfdDpAm1LXa7VdlEWlBH72A8E53SFF5Xca7SDNOlJkt5FBVaoAXWf1SCG/3jOkNGv6Lf\nG5nh5nUlmlSDYYD9eVycyoJMLjhN3wiHhzmeybwRWs3YgDSmtbGzgMXAdM7p43QPB1LJ6qO1kIWA\nm6HlnH+G0120T6cwg/RTuOcxfZDRTgYu5pxO1G/SdyOFLzGQheb8tNwOwpkEdvjCF+mN01ElPxUf\nBrxeb1lZmVIS8AM39vyN8ZH2Ia1evbq8vPy/HxeHKfaEuro6xRyn3Kq/0grPxr2D9GjDllDIku6d\nh2EYdwCdn8iN5O+kbRa563l3LVfMoGAaaWno32T/BSwDOmidwzzgELtb6djPGwfou5SvLONaH4ar\nub2AxQUs9nBa+S31cXga0XJsbeycyUWpLIh45nnHcvublrTYp2f71+jTw7MuzDXNORQ0v+nj1AQP\npk7mJ0UYijCkYbbSjHcsxTcVkn+v3OmXt6ZeLkCY+9V8eaopeGBIrboCXQWhaiIOAo4YWVn0XzoR\nD2pr1J80XgMwUU16Yp09peJA6r8RcBCY9Ewos03JJ42ZjDWc+UWsEEYcOp2/GTLMGBk+wKRJdvXq\n1TAZaJ61lpG6hAPCHkZqyfkmkOA7AbwORmqZtTXZyxJdRi+64WSHFkQ9TFPSSIF5HZ7Emg5eBxMv\nk79UmeFrXyvW6bwejw+9lbBHqxpVRpXMrh7xdM24cGdCaYbonInun5CTQDXpGeRWJEg+TXHUSzeF\n1HLGJmtkRDwl8+1z5gVcZ8RxoszpUuyrZgCJc1FoVxNKXH9ceQgA7bqYKxFQlxCOLViFFYbimxFi\nbicTt/t4fqqp5/IAu5U3bHHhtc3Hf+uYLGWoJd3HKWW7kOu7eUnZPoebQ6TP5Lo+3vLiOkKUljcb\nqxsnkEUOaC/iFmCUM+00A4tZ8A4HFrDkKq7/HS+P4y9lYScDpSzsxd1M+z8wP0ikgVO56Isw7WXw\nOr3ZpNfMTg38Q39fgivuY3wQ+EhrSICSCvNfSRSl0LVSvLK+vj47O9tkMlksFrPZ/LdRhpLgCXOD\nP5QO52RqrldJFtpdaNaQOQNjP2d68Z9g7ALyl5H/MieuY34PfSFCRRQe4G1IPczJN2hZwOKLWHmK\nocXYMkjzMdHHqbmcCxzgVYVVCGhj51zKgABjLUOvG3rnKszB45nvXjLzTqvVajKZBvR7F7I+naUG\nLKdewmhzAAAgAElEQVR4foyeEBMGLGoM49yfwh2T2e942WIi5rCJb6owDamO6zWX+XlNyQWJsFOF\nVT35eQuE+VGMSlxTTmhryPe4Ov3+hKszxSkOqEzobDL6WZXxa2gsycOUuAlDKeOb0K1AfExUk74h\nYZjOgv9fSV2HrojJzGWgr+vFudZUY969htCvLUVxLiivg5ArWrt9aAumFTHvS9/dTN8MkFKaQDQQ\n9jBSR/7GaB25JIeNp4a065DR5H4gxUbHWgy2BB4/EpNGvQ7G7eRvjC/dvWJFfmVlY3n5LAy24MAv\nc6ZfysDG3z1b/Nkv3WkyaRPq1ymIV5JGq4i4SN+AbkmsFriCs5UkJd/IWMx4DUEHqetI+Yd0U51l\n5lqgoaHBbDabUkoI1SQqSe0JjqLEVFZUJsIvKE3BI+wNqQ6Ps12lyvTxfIDXQoR9vBvCEeC1ALt9\nOH28EaYV/GE6R3hhnGPC+AjbVZjHeNrAZUqitzlXl5KmO30q6PF4Cs0X97JFieLRkX6GZkUZ0qDv\npcnCikzm5XPRAfYN0APM5LwTvKwoSSGCQ7hncU4xJdt4RYOpkIIOevLJTSdjDGmkLY+MQUZnkXce\n1t/QsgJLFvoIMsiYBr0VUydjHlJnRzKO6zI9qebLwn4lT+hDVE0+zkP64NHW1rY+DlOWUMUw+qfM\n8FGIfdS3iX4wsDjkr5Pxr0nPrTLgkfCD0tktvn+R3Sdk6BF5T0Ts0tonoyLykuwaE99z0rhJtnWL\na0x8r0iziIyL9yXZpcy5S17yyriI+GRMMYKLSKvYj3a+q5Sfef7Ef5z2dCv9UzWTRGRQmgalaWpt\nSph4UIZPyZbj8rWhONO8kvzxXzcbxqRBRELSMSo/DMiBJAdAWOxheTq+Z0w2B+TXIXk41jWVvTSJ\niLSFwt9OdjwEqyUcZwQPu2V4fTTbKQmBSgk3th9c0+x4XaaC9ZXxU8eOTAYfJ7lw4ptJkeUTjTI8\n6Wg8dUdsV9IM7uqo0+V9nUNj1TL0zYTUnCkog93Vsf8iCZ62trahysp3RaSnqVz6vtHceLy29sT7\njozC3yaD35Hh9QmOopGz6kiNVSdcw3BbZLQ0MnZvwpjEi19fX+/qXJs8T2I891TKUVgcIXk4FP6J\nP3xTSO4Py9NhsUuiB0hE4nMPkvYq3qCpZpv8tFt+p/iHTsu2Fvmy8mA3Nja+eeJ7QRlWhsU/5KPS\n1yp2ZXtY+pU0vn3yzNvy2Kj0Kf1TbtoT0r5XHC/JrkHx7JJ9SqfiPWqQ40qCYJMM/lgOKD/bEzJ0\njzQOS/Afpe8t8V8uE7eGgteMRtqC0WuleOOSL9ffBB+FV98HhY+KhmQ2m8vjMPW58cc1pHh86J8J\nl3fSoRFrVvhWvbqRgRmklJF6iIFzSP05/T9h8QEGl5NjQN1E78XM2sn+03jPMDEAt7Eyl8wdNK5i\nBdBA40pW6ND20RMiVEgR0MiOxVx10HF4LOA5PrDH5Cmy2Wxh00hKjnqmcRkQZFSpmaSsZ4qSFejm\npQIu05GuxpDOUjeuLJYP8ySotKSHOKRUrAAiDMU3iaMVV5Ol5/IzfFtLkY5Y0aB4WvGpGYz8s9Ak\nNKlZnswpHj3qfq3qPlTZhHdEw7EiTsQZI34FVKaIug2OqvS3KR0Kq/qunb8Jhbq1hpumz7qhIO13\nGCYfmCmGCEBlIuLi/7N35oFtVFfb/81ol2VZ8m7HW+Q4ceLsJgshCYEkQKBha0MoLdAXWiiFFtpS\nQmkptBQ+UqCFUmgJ0IVQlrCGQkKIA1lwcBY7zmY7jq043nfJsmTtmu+PsSZjhe605e3L+Wvm3qur\nGc3onnvOec5zpACaXPruHYXhySKaQCBQzUglSctPMeUAulyG38ZQRt+9ZP74lONLNBFzEwugy8Xz\nClIAORR3enBIdkUm/2AMubXqlhh8HG3GWN6/YoXVzW43dnX5+jveNif3pRYU/+LxtFtvnTXm4wlG\nUuAVoq9he3mMdzSh1gOgdYx+heQi8kukOsH0bFT/7qkKwiRaPA6Hw5I846Tz4UH3eBTe+lilEiiK\nsS0mNESk9ZKwXyBHZKkoLPcLx418X2CKgAMI064jX4wb4gkkC2HalVMRg0KvANg5q5vqAq5KYW4S\npT4iI3QPctCU67KkWVvd7x79MGy321NN49vZJBdW1mPp4XAGpYCBpEaqprA4j8kS2q28nkG+BSvg\nZtBGWhq2Ixw7m/m72T/EcBH5OrT9eErJ8xE4TlchmcXYG/GcxJeF0Yh2JvYf0vwY4+9g+Hq0x0XB\nI1IzIl5mGGX6sdvtozXd/73W0n986fsE5dOikD5W1q1bt3Xr1qNHj3Z1dZWXn1aKZqz8Z5/Kn7w8\nOEy+LXJJstiM7/MYetFdhFjBQAQxD8s09HW4FpPzKkfOpOBNGo4Q/hZLRPQxpFIyTtKnR5tL6gDu\nXvpLKAL2UzmfJU6n83D3HnuG7WhFy8KFC3ttH81JW5WfWwTU85bMCA4oNZNQaSAgzLCLOkVRyV1J\nTEnirDBtTu43s9zIaJGeBFfeIE9buVRZQUK0RQiaWOTnaTnIFOVhDV+Sk0uUGWRwhMjsUZ0UfuuU\nsw6AGK8JnCWQg5CL5CJWMboa6sb45SRckmaPKMzr6qzZs7dPAetPn7wpI/dhk8mEYEJIJfA2+nL8\nr6ArQ6dy1erK8D2GpxLb9YloAr0D9w8Rx2G9PPFZGsroWELqXWMUldw++BiaVGKuMepEBknLfrNQ\nNbEukm4ATl2YWqLViB9ge2RMo2hXqK/XrVtn1f0hHPDXNF7oGz6w/LwVElJXV9foGqcu4hBzMXwv\nhuWYv6zGWCcOk0UwEXoLoRLpENobZK0vcUJgvKDmDE0EJthtyfvt6Svr6uoqKyvLysok0RKJ3ojY\nI7FbYIpGuNIvHDXyEwFHfJ5RDPfoEyBfLpQnn6ppueXeYTYqvQoHnXw6RJMM4AaSyHPT4OAKO2Wp\nzGg1VmU7wt0jh1q6jkRjMZs5R37Vo4S99FrIkmfw0C/jg6KIfkbqOVjEhAYOy8HaQdxWLNMpjSGt\nZ+csJkwgZwsHljI9g5R1HC5nnAFNDuYmhutwX05RM7pWYlPRNxHVEEHU9kpiJCTM0o3+YGVlZXJ6\n0D9T3+jvlc8U0r9JysvLV65cuXLlyr+qjfhPP5XJ9SSLrMySLBopCb0G6QpMt3HiVsYdJPpN0jdy\ncgX5x+mvpStMTCTpaiYb0Gym8RImA+9zeCnTgR1ULWchsKn5zeGWkWzjuK6uLmF6/ywucDgcXnoC\nuOVtYDeHLWTJf78hjmvQWygEwgz3sSebxfK1nWRjPivkP3aCcvIT0FKiw9zLGwbGxagVsMULcRKi\nLUSThXOU2xxkXTrf1JCtoWiExzXYwClykTIgxE4NRcp6JDI7KL0YFiM64XxljIRL4v1TCD3RQaya\n8Dp0t56KT4DT6dQbnq2qLN1XHZtXXusoXp47rsxkMpm0v0R7zamRmlzC1UjDhI9gHpu3BIheIm9j\nuSWxXXKhP4A+MAYnJkvsbZK06M9WX0x8th7cPyX9kcR2mZMUF1HnqWvQ5BLYMEYr+F9B48A4A8mp\nRojAKerr8pINueOv2PyB66GHDnV2m/Nzf1W1VzMWPSUQdRJ14n8O61o0uQh2IhtOu5GxtlTkFUls\niOnSRO2dir4RGK9ODwIQyxJ1GwEkZ8643NKyqkH3815v33BMm2K8X2SBXNBkbPFWuVrEcwpARsTo\n5X1FAwFB6uS6eXKvnxpFISlE3fKphQK5ZgQgJxjJ4SLARskIoanmK9JSs6Lmng9dzw95PZlJRSnk\nK7A6GacqI4BspLZxYiHLa9nbS3cq6RaseWTvoKqEokzSuoke42QyxghRM4ZcUtsI76D7PMZV0Hk9\nE/sJbKbnu+Q/jzsbQzcxN7FsYg0aYU9IXKUVTHHAnWwqyfWNXC7X31VI4h+T/yaF9KlG2f1vkYxq\nRD3npEk9OqkObkMIIH0Xz/UUniB2FuYuRizoNtP2GO03MncuhRZ0yeiqaJtGFlBNcznFwM6ujwYP\n9ckwDXOx4fLZq+12u60c+X8FNLOtOO5m6eFwdhxo18NORQOpeRzU/A5yVz6nQM/yp1KYW8AtHva1\n8DstS5ReNb8D4GO3Ob6yaCg0800X98c4tQ7GcIfYoY9fhtwSFayCOMvPeqUxAaEHRLXn+3SdMdGN\nTKrtdFZXVxtMu83mBUuWXLZq1Sr0a0chXrFqBEfiap50QzR2eyJaD5BcSFUkf2UMj4AsoTXoH0M8\nI7FLrgKl/0UiokyeTddB+lmJ7YBlGd5fE67GNBbyZ75x1INHXBvpy9EsU8PPRkW0Iw0MtV31xO8i\nV137yNtvv/2nP10djTUE/J1z5swZs9wYlsVC/4+YC6vKCalZTrRizISGZaOovJiT0BoEu2D4jSQO\nq4ckkCYACHZiY+geopqWEE/HeF/k+nTbk1kZd/a1rth36FQBeA2FMRV8DtBQFOWkcprClW5eVp1e\nMcy7p345LhjbO3eIUQYKHckKwwKjLAyb4p/K8tIDmMlxcIXDvjLbUFbT9/YO95MxInIXYCXDQx9g\nxBzAD8xnyYV8/kW2HaIBSMU2gBu4gNJ0slrpA3ZRB1xKURbGzbRlYTzAwMUUHsNyhMBc9B2ERbgE\nQwvhHwpiqilywQini4zvlV/mz8B4f6N8qi2kv0v+U9uEnzbxToQZqViyI+Phf9D8EV8SggXxixg3\nM3wltqdoiCCZSDqXrPEkbeDEahzATlqWMQF4s3uXe3Nzbm7uAd3Rqwo/328f2m7/KJM8J20ttDfS\nFCLYQtN+DgwxOESbh/5D7I4QiRBppKqLnZlMs5AHjNDlpTU9nvCh8DswluIB6GanjalG0uTTQZwZ\nXNrH6xGGzTjUrOGyKMGk+Gw1OuZHeFfAFq9X+7Ta3ae06JkX4VCUk1omxXhNYIoaoQd0uu/zdP0o\nGnt+63ttF154ud1uz8k1mZM3alTqEPEMQnciHTvFSh6XKA+Lmv8RIi+PgYQB4XvRr00o/gayNvox\ngimxS3IReSruNhQS7ZjQrejuRLOQyC8TvyhWjf4j9MsSNaVoHzWShteiK1e578ZMfu+999bWfhCN\nPv/RodYvXPHi9ddff9111+Xm5l555ZW54xZW7rztrh++lpSUVFpaiuQifG/MOEXQL1e7ST8mKwik\nyNGY9HtR8KO7U/6uhGQgPoY0YZRkQRLtUR6KsU3D58OiScO5Itlyf3bWxJSsHe3OfJVjKjjWTTdj\nhMcVI0lDyjCbFSNJxKg+Teg1Mq6XNxQjyUTOAAdku18u/JqmulTFO2cnp91w9IykS4uMcw7uqd+u\n2axLNttIzWFCPR9mMwGwkdrA4WzytOiGkKwYajgsw75LKNKjqaLtc0wD9tGUQ2omyccYWkH+Xvrr\ncC8gawbG53Cdg6WZkUKMfyJ4P9ZvhUdSRoyTIoIxikNPgij1jerq6urq6v5qIYl/TP6bLKRPC8ru\nn5f/CNRkMCTxoZR6XDp/IHp1OPR9KfyjqPdrkvuXktclRddJA24pcrN08ufSMUmSHpdOSpJUI/XX\nSP2Dg4Mv+qp/+87LW7dulVlW90tND0gbt0mVVdKBRumkDLeTVDwOkiQp0DtJhReSJKlCerNV+qhO\nerNOenOz9MOBOLnyxwLtPvZUzdbqlepPSo+3SrerB6vpLGVRIFJ+aeOI9JyaQTw+Z62aodkvbQxK\nOxVizcHBwaeeempwcLC28Vsn2t6RJCkmDSr4vbD0fYV9XBFf5GvR2O8TGk9h/BKAfKEHT2HG1HSf\n4Q1jKAaizae6gneMYZpQIwDVXQn058rkwY/jYgg3xwbOSKSikKR33779mmtu+drXvrZw4cI33/iF\nPENEeuj0u5anveeee751y1k1e84bnXUs0HH0vlS3H5UqItJDw7FvJ4xSE5t+7FRBaYc7csUYhORY\nJgV5TEiqleI84oODgwkD1BypkgqoGf94q8IkIkmSXzqs7lWTpUpj31K31Kh+n+ukN5VjhdxEkqT3\nfZsOnjywtfftzf7XK6U3ApJXblf+Mgqc9QPpo+ek13ySX5Kkbmm4QmqSe2+WdnZKPo8UellqliRp\no9Tyfem4JEk/k3o3SZ4/SoOVkveXkveeqPeuEelBnzS3V/pWl/S3yL+CTOEzlN2nUf4j24T0D4ia\n+EI+UUmYY2FGVPOnsG6tVtdDLBdqCezDb0K7hoL1dF5IetQ1/HqwqfCoxy9GepNCl01Z3OyQGuiI\nEColbwDpYubkkb2fEwuZrEc7QkDmcQAO0VBEnhULUMX2MzhLiw6oZc8UZmYxMYNSH5p0ZkTo76S6\nk5ouPpoUt2kGOGAmRy6kBMiFaOXAEnCSjcqpnvQBWmIQpkeOMEcZClAzNpj0tMKbp2VShEMunrIz\nphaRn6eTVOg7LZP6uM3VsXD/3i4gEAgsW7bMYApa09ozrV8GBEwC46M8BO7TragQO0VxuiAcF5is\nxOElXDGeH8X4ieWnzJ1R2r24HSOYkOoApC5i1afKtCM7qSoRywjfi/ZGRJXHXygeTcQJr0W78pT1\nI5adStCRXITWoF87Oj4xAAPRdTGzXdBeJmByuVw333zzO++88/bbbx88JHz5qgVl025Zes6cD94P\nVmy/uKJieFtFSfOJHR3tBTt3+tatG/jwQ9+JEyGXu/SVDbuHPQVe7zk7dzsee+yP77+//7LL85T6\ndaeuKvwYmuUSrhhPCORo+HJU6NVQqLZZwS9xQobAjd5lnDQhwFsBNmgoQlwQIUNtHIc5pKrZKgeK\nntZztsyiFggEmlt29HT7s7MmKs9aKanH2Kp6gITQx0sCtiAdQTqihDt5UyDNT7efbhGblz3J8aBU\nGG+UkGzHG0lTMHWAhw49SXosgJX0ZmoyKARydOPaUpoXJ53Xsr2j299Xk3nMgjUNmxFTPz020vRo\nm+meQHYReemkPkZVIan5pFTRNo1sPVov0QMMmNEOEizAMp3UNwgME11BchMhG9otDP+A1HuD+tsM\nPBPgIh2VMXr8LDTzl8XhcMgJc39jNdi/Rf6bLKR/UwHE/0qZ9z5BgVUOmiLcnxb7XZTdEeF5A7/C\nfzeWL9O2kmQPsXGHW1rzxXZvx+6PKpNWzb+KqTnl5p+wq4CkbTR3wrc5D9hI/cVMBvrwmNEnYQD2\nUivzOAAddE+nFAgwAhgxy8cB/La4262FpiWsgBKgjl15lNazEchn/gA1E+ORmzDDqAJLCXEmudfB\nt300tPKrXK5xsS5DxSoUok3EqkDvgGGSdXxxmM3J8QCVn/UGLpaPXS5XRUXFhKkkp15qSzt4zrIb\nFPfOCI9buFuZR8AhccEIj1jYqP6pY7jDHEzim7A4wl1aHoi3P6tRXRi6OwmvRXsD0a2jSkIR7Q0E\nb0UwJrYD2htioctF3cOnOdwcRCH8KGL5GDUj2BHsxJyIDsIPnppQdBAZy7cdeQXNsl07W4/Un3Ho\nwNJIJDJv3rwbb4wznYfWoC0hsuGcpacuKcrr8R82Ld6WtvicG/Wah+VrcDqDb7zx/soLH7/tu8+c\nt7Rq7AUXx2LPS2K3yPWyrjKw0s969bZAZGmEu9RobwGHh9s01Jm4xsjFgB4GeTpJBXYwcXWQP5ni\nvl/igSL5Odrtdrv9AR+PKzRd8lI7xN4Iwz7qjeQNUhfk1TDdWlKSmCRS7qMjiXFAEqValocJ6uLb\no3baAmzQYQHCeBvYls/iJDKzmWYiZ4QueV9VzNKDvDCDqwArGSFq5I/Lfw1A5ot60f1mjbPmyJSG\nqcbSjjgfymwcu6hbxJRxZJWScwLXCVzTyDpM9zSyV5C/mbYuRmwYNtN2BY6rSNmOz4qmlfD3sDUS\n/CGu3+rt3wjxdTObRsjWsDnEqtDHOO4SRL4qQNZMfwti6/+OfKaQ/kHZ2cXeEOc7GBa42MBDxBbE\ntFqRw0KoHO11+JKahi6YkPvz9rrZIekt28jNtlnCqpnP0+Ql3EEwh/yvUNTFyAEGAC8hwIIe2EXd\n5cwHBnCbMJoxAtvjDENALXtnxp3s6uMGDpXGMQ5BfB76prAIZgM7eNKI1B0HQZxgw0QVrKCdTerT\nE2yQMRFJlBrIbeKBdErU9z7ES2r9FMEToL2AWwIckXVSDLdvpMvTfZbTWSH/31atWtXHQ/KnfDxu\n4moRW4C31HxFsrjZY+aiMAcV4BbgZ72yGmr4apSHNdwe4zWBWWOsBMGO4IiGrtXo/3D6IxvW+82k\nnc7SHBNOxAyTwX06wiemWx4L363V3JbYob2B0BoA3Z1jwHjaGwmvRbfG6XRufO3LzhbyCi7p6Oj4\nxS9vUpTEqcm1CyPRJ/T636obRS6P8oyGr8qnEq4oD4m6x/wclC0Mh8Pw3e+u+O53V7R2fOfGG1d7\nPOKTTz4pKwCvtkeSapN5TTWbTRqLOGBU6ztlIynAWxEOinxFy0RllwCIWEO0KUaSiC1Ki3qS01Ud\nMLE85udQ08mT+EbS8oQou8bztTSWAplc2sizExmFO6Ywt5FncxklfS9maT0blQQGA7k9HMmPa00P\nW/KY78LZzLYQ4Tqey2JmOgV5TNaTFMIrG0npFLRTL8N/SplWy56ZzAPOsy1pmt2S4bTuc9eEZkvv\nU3MuszOw7sIjz7+U4iP0TCVrG80+QtPITkYHLCK7m5F1dKwgfwFJlYzkoxsg8jLuW0n/PGG3GJsh\nittjmA2kSlgM3DTAlpzEl+XPSXl5uQxf4pOrevO/XT5z2f2DUvwOuXY0GcxLoiUam6MX3JJwTbvz\nSU2gwz/S3tr3QknZ4wzcYi0I5tpCSEWY7+Z4EdqVFB4meBOFgIJueJUjK5ioR1NPewbWDKzADqqW\nMB8YIdBBt+y4czPgZVhOlZXLVRTFtcURaqbGvSJH+GAa52rRA0F8ffTM51ovvc1sc3HURpElvvok\nuPJG6ArjVYAPIoZBThpI89Egu+9OBzt0syGb1SKGYZeuf6CzY+Q37e0vp5q+lZszXmYwMplMbl5O\nZoW899cyyct9GkrD7DXF0YCyyJMncamfp7XMkH1EIXZqyNYySR4jYJeok/BIfDgG9SDPIL4f1EYN\nQmJ2kZ/1emGlILQJZKsVg4QrxjNafh7lmTFZovEuQbMAEBizzKxdu3b8xO0m6xKNeAp053K53n6n\n8nev7P7WfQG3ryE5dcrZ5z+VW7Rw0vQVJzqmtXRvfmXr1PXv8GEtFXvYuqfF5ZVaB1Mamqe39+Ds\n4GQ3g0PkZthjvCpfiYQzxgsabtFQFDxNeVutcy9c2TOh+Oof/ehHB4++WDJjT6rxe1HBo/atcRos\nGxCZHeWhCDo/z2kpNXGNgcku/qAGZyckDJ0+j1JWPETbMO+O8JGfrl4a8/hSvu3scdZF1RUBIcUb\n6s5RHFPqvKLTT/s5lkKeBj2gx9JGlYIgtZPTTM145qTiyKC0n8hUFoww5KQmSHQf++xkWLCqcd5G\nzEq+kRnjYRrm2mdNzZmc7DS+IzU2B0/mGTMzsDbTnUuqBX0VbWdSMI3sHbTVEp6DPRXDHvrmk1mE\n9dt0nYfViBBEKkT/awauwDYH8Q6i14pCd0xwQ5GO3QFm62gKMUftIv2LohiU/wxG/DOX3f91mfQS\ngp2sFL5iozlGbd3JpYXGEovl9nTTTKvFjPlm27gjBKZiTEHzDP1WktcxOIvsq7HvZWguKcABBmaT\nBvTglYlWgXraZfPoOC0TKJK/Tu24q2XvkrhbbOzxHsVUCuIDZMo7VLX+ZHrWCp4IESNuLaldeZxm\nLbWxKY8LzeTI7rsCbhmhUm0eBehw9QUCw/1O516Hw1HsOL8Lnz/7/dT4xQNRhmJ41NttC3f3cFsW\nj6p/1ShDyuRmvil781TOulOi4asDXGjnhYTnEuagiM3EfT4VjSwQ5WQMt44ZMEPt8QOiPCQ7/TR8\n9XTTRB4Z4a4xODS4fU3avj2rDxx7yRgZ39XVtWvXrqGhoby8vPLy8od//IsHQ1/Sai5Fq05+So7S\nfu4ZLlkXRnkm/o05IdbX1V/t8gC4PFTsYXD41v11ByFLou38ebe/twcBonxl6bxDhxqmDw6RmsLE\nApLN9hgFy+cV/Wb93IBPd/f3Dh079vlHfnFPyfQxhouGwgTjJsrJIQ6bWaR2luooUJtEgAZblCHF\nMZswj4+GfoZ7uCWVRclcIA/z8KxcmgtYtmxZN/pBf+u6dRU33HADkM2ibnYp7CEyEarqdH4be5SU\nhiymDeJMxQEYSJLR27LMZG4te+ezJG/Uxb09gL+K7QH8ESJ9tGWQDxQxoYXjsk6aQNFxWkoocjgc\nC5AmuZPfqK/ILMwJmqNyusV88mVn3XeY/wgtv6L1GnK78AMTSV5IcB2DN5C6jsHvkfF1Upfj20rS\ndIT3hJhP4E6teGWQnyXzw27qBL5xypn9t8qyZctkVmiXy/V/2on3n0ZVfGLyb4OavNUssV4qrfRf\n8N6xRa2++UfdgxHpjqD026B0gTsyKMUekiKSJP1M6pUk6UbJ/V2pxS1F5FMpjrWTJEnmtZMk6Y9S\nrXywX2pqiQ9TAHX9kqsqjrg7ITWekEaZzbqktnrpoHzsl3wfqQB4B6R3FWSRmgFPkqQ2qa5NqpMk\nqUs6VCv98bj0osJ9J52GylOXlpEkKSwNHZC+6pPqpHgp5cHBwffqb5GLTytyTHrGK9X3x1nFpNMI\nzSRJckt7uqTfnc5sFlHVh5ZBegl4LVkGpHU+aXcCqE9SgcH80sZQ/FeVEss+VUTj15ZQ0kkN7VMf\nqz8in3b3/r+nnnrqO3cuuPnb5TfddNMHH3yg9AalHa7oqtOvWSndHZGeVmPYEvBpsnik8xLoAU8f\nubVK2lLV9XrVj+7/fccdj0kbtkr3/No386J37/nlavX1SJIUkmqD0g4pXvJqRHpOrg6uHvO3tASl\nHcPS1pPS4yelx+Xnq349pNNQcFIcIyfzvG3dujVhfALsU42akySpVvqjcqwuYiSNhZi2SV2N0sJl\nokwAACAASURBVAn52CX1PyW9skn64KBUL0mS+k+h/KGGpeCbUp0kSV4pcG/nC2uOjBLoKX/DN6Se\nBmn4cenkLqn/HalVkqRWKfiS5PqZ1Cvj6yRJuk4KfV8KN0uxp6XIT2KRe0Kx9yPSin7prhbpBy3S\ng23SPyP79+//u1azz1B2n0b599it69atu7ppVn6xMD1pJFyaO8OgW55srNTRJdEU4NUU8T6it6DZ\njteK7lVCfkyPktpEyIhYguFNepeSakW7ibbFZCejO0x3FpasUexc45lMAg7RkEV6GjZUjjtGI0aj\nyKX9VJ7BQuV4JnNl0J2HPh9DOUyQu47wwWQWyr47oI5dU1gMWMiy49jDOxoiGXGyFjX9HWMpHoAI\n4ZrjJwN0uge9EZ/B4XCMmHaPT19qNZ3aVjvZkMuyJMZLhIY5+LH5TEAvb4zjhhjBEXbL9UADHBEx\nGuOuQkBDtosXRTJMjMlFlfkjrFySkP7i43ETV8g1dbRMUsiNvNxn5puKF0vAEeUZgdkSu8GtUdFM\nCMyWmQtk950Yh6LJHxlyzV67dm3twd9VH3jit08bbr/99ks+d/Pi83suu+hnsVhMBm5MLItEaUwS\nbldjzOKTmCR2S+wHnWKHyT3quwACvBUjI4BZ/WucPjI/72Bu3os5eeIFMz+3fB5lDpacofv6VRMW\nzZtTue9Hd93xfCwWmzFDLh2UXd/yk5OtR+xZx0xcrWfe6QQKCaQJnEay0Mubbo53s28id6cw14wD\niBHy0634exNQcMAI3Way0+3ZsmPqaP1BjcVrM4zegpZkN0cV73EC8Y8Lp+LES8LWSJWSHq7g5QAr\nFjmXCDBi7ie0iFkC1HDkGCcldLlkAIPxiKweTQ2dMppuSfK0mpSRKm+b2+WyCjr0GjumUpJeovsW\nCmrw7mDgPLJS0Gxm+Htk1BHcgvcCkqchHkLaj+SCnwja+4heLAgNQ8J4M3vcCFBqxv6Pup9yc3OV\njFrgr4Lx/ptcdp8ppL8iMptnZWWl0+m02+1fPr5wJEWYVcg0iyEqYpM4386vIlwjUCxi0klumILw\nPWmgVDAHMV6Hxo7wB1zXYvcQ2YVrGWnDhPfQt5hsYBvNZeQeYGArDSJaJ+4OPCfo06AdIdiPR4PR\ng38XdUdwhgl0M9hD/x6qUrCnk6lDq44qAQfYMosL5OME5VTHrmLKFVfeET6Yz+pUxh/hVcBFtUJ/\nhyrB1uVy1dXVmUymbT1PLEq9oTh1kcu6LcNeoEU3yLYMlQJTs7vqSfdyyEdDhFp1Oi2qsut68gMc\nBbRkuviDnWvVwyJ4hhmEASNTRVVQRKYvAjQUBnhLDpmEOQiodYCGIj/rIagmQ5JFYHaUX0k0atUI\nvVGdUSdRBxFFUVVXV3//vp+9Wm3b1bDBnL904llpedN+b517+Z/aTXt7eK9l5rttTXuGJtWO2J2G\njNcbGne2XbSjy1LRpm3x2NxBndPDwX46fDg9VPV5f99g2dH2xYo2Ktqo6WPAT5e3sGbgo27vVKcH\nu4Go9j4d80xcMsJHavXAWFYeP+tj9CTxTR0Opci3LCK24rKm//nSU5WVlT/60Y9efvnlAc/R4rkn\nHQXnJ3ONopjV1cHj82cmtOgocPOOm9phDtlYmMYyH0PqwI+ZnNM1kA6L8haZyW5js0z5YzKZinNm\nt0pv+1rT5YxaI2m97FEIgdT19IAU8prZpuyWPPQbMMtvrwVrLXuV6OmgCv6TgvkwJ6cxvoi82Ux/\nkQPd9I0QnMOUvdQWkQdkYtlDm4NUYEgbOc9Y5E3WHBse+KC9emlaGXAM33hMM0g+AevxrsBSgO5d\nhldj+4DwW2i/hGYrsS8g7kbqQrpX1FzYxlOZwvNDnJNMnY+jI6z450DdMv+QnH3MX1RL/00K6bMY\n0seLjH6R3wniSM2b36EtyOwCxumpdXF5KiV6rupgdz4PDrPWyl1Ev4B4eTj2qDarAPFZYg6E3fjO\nwgxspPcacoHNtC0i5016B/GHEY/jKcG6mDNU31+ccD2TyVOfzmNmO92HaQDaac6jeISAGaOCMpKl\njl1yRTLiuDsri+RT2Skv/71ncFUzO49Tfa6K9efDlifFprPt5S7ZqT2Ic7b9XDt2YCLXd7Oziw0T\nxoZ2FHieLJlceojv28auqnJ1NSPj5FMbq/t4yMsHKWOVFtDJc7lcIyANqkDngzydrKI+MnH1CI+b\n+WaQt9QREUBDYYShEK/ZeSxhZgF7H/vSeILTJMr5Q3xr2PnIT396XXp6+uHDh2fMmPGHXz8KRLhL\n4nUtD4+tEpri5ZcWpsZw+3k5iW+6XC6n86hnuH1u2W51LEcmT7pwQiBFFZgBXAHe75wa5pCO6R/2\nPa/jqlZPcfMQ/cGVRSktU1OKGocYDJBqpDyDqr6L+n2e4tSdE6wzAqHpBcmUZ+Z742gxWZxOpy19\nyZHuZzIyMjZv3ryj9q7duyt/deeUO59ss6qG6ckfopU/3zLEXh/HBqiZxi+UxnxWtLHZoXrKJnLC\nDCsaKJ8LG3lWCUPqSI4whq/Ibhyf7ciQqd7Ky8vDenEkqUuxsWROINlI0mMJ4VM+OIVFtWyZySgp\noo1UNwOykTSPmdvjjoQMrDWElE9NIP8SJp+k73Wqeugtw5OBNQvLNkYB+ovIloHds9LSfpLGk311\nFwwbZ4ixjUW9V5N7I1k/xHM3PbeT3koYWEvq5wi/RuyraN4n9lXEbxH5KpobbPzGzdlJVPvJNtAd\npMLNMhv/pMhVCvk/gxEXJEn6T1/DJyNKmep/WOSNRkVFBapcAbVof0FuAZfN5Iibhyey0U99kCtT\niOhwaHDrY68QmywJgYhmjY6HiV6PaEd4iL7vkeEhspHeJaS/xFAE11zS5pBi/YQ2BAO4m2gZxB3k\n5CIukX197dTDKRK8WrZMZqFiHlXxuqKrgO1sLh4q6TTsjJzI8ncYsstCOTk5aZwqfKAkfMjipecg\nvylgjuLiG+K4n65slUoboWuAAzosJnJS4ptZGRmhvvgRuhq5Y6aK7I54CouMGA5wJMBRG6tDtHl5\nN3Ussi7ETg+/T+XnSi12Rfp4CMgYawYBgzxt4YIE8Drwyiuv9EkPGWPz+/r7pxR+ceXKlereHu4Q\nScrgnoTZopwM8m6ERgt3q6/h4PFb8zOvF2L5drs9zMEoJ41cHGVoiA2pp4EDh/mBSLaRi9W+OwUo\nr/quoW6uzeYxT6BwewfJelxBPurtGJ8S6G8VuyW7QzswKNqstrTpWc9rOEtv2LU48xw9+du3bz/Q\n/dDJfePu+eFaZa/tY7cGq9ok8rEbiKAdYm8Kc1OY28amNGaZVSBDtb4BwgwnqCgnG9SnQxyP4FXe\nJfV4l8vVEtjXZdg+PXUU0x/Bf4Kakrif0I8rgHta/B077R3ePj9OvbiZ7Svix/W0E9/D9eA9Qs9S\nioGj9L6DcxIpSyk+wSAwjWxgA84r4u7Ze2lPJ7a4JbSezoeKFgNvEZiBbgOD49AWoV9A0jNEsxBC\nUE3sAbRPR2LPD7EjTbxxEFsYwB0hI8pWF3vGWOb/rMgAcU7DiP/zS9+nR/6vu+xcLldlZSVQUVEh\nl5pVtiQJYr8PTRZXTqcrxiILOyWMIhYNX7azIcBKI9f7oz/XabaHxVt1dAlSPdJSxJdxryBZQriX\nk2H0GsRrsS8izYHZ8Mkx25ox5pFdQlEBpQ00NdHiwTtA/ZS4evDQ56JLUU4e+oL45bR2l8u1v2lv\nU1vjDPvctMhkTX5fksOnS+5VB5Oa2ZbFNJMKLV3PW3P4pofjHo7LyqaVNwvjaSWynGCDg9UWClt5\nU0uykbQBtplxKOaRMqyYrytlQGXp5Y2cuM2kJXOEjzRkDvFS+libDHDT5KLfxiIx7keSZZCnLZxj\noMRPtUGVR+Vjt4jBTDkIYdoOV/d++9vffvXVV7du3Vp4xvZrV75VPvWySXOdsyb9j3q2YTabWRxl\nSGGqVkTE1s8vUlmboBGz01ZEjesGukrqGl/NzovIOadyqCZhkihDfbyk5TyzagcAyFeohN8CHPGy\nJUJJEnOStIbJqTDgLEtlutZrkf7ftWdeu7LEuLA4dbnDvDgXQ8obTs9I1P/l3V0pG5qw5RQ1aL+Q\nOZ1bf9v++uYPFpek2e12PfkJaG8/XSf5fQqzsrhMfkwplJxgg9oplxD40WDoo0o9wECqwtINGElr\nYWMUQw9HXJzooKaD9mFaXDh1Jk1ycvKgSejY01+cNN3XFR5vn3KSnumcGWQkSliH6Sjdbnraaemn\np4f+/dT5ifoJpGFrol7x2qViO0xDHtlABtZd1MkKSYZ0y4onk6QOQudTtI1mF4EevGVkAakYdtFd\nQgpwnMhK7FtsgXJbzva+FhraCgOR5+2G72OvI/gqnkuwzkb8A9GzEGR/3ddEzfag0BcjV8tkHXv8\nXJ3COhe3ZPB0Bxcq+c3/tCgY8erqarkaiNz+mcvuf70oew2n0ylvLv7yE73/PTwmVhSyvY/Pj8Ng\n5IifK+0sS2Kdj/k6rnTxxxQtMYpF7AIPEX0A7RDRI4R60UH4Hops/3pudTPGecwEBnDvo66WPaVM\nM2JW++6Aj9x/mitdVu2sdrlcy5Yti9pHrucbcpedpbt5J4xYiE/eiobweukpVuXodHM4i2lAPhe2\nsUnmYM5TKTBggAPKIjWR6xt5Vk9SkM40VbY/0M3OLBYbGZfC3AG2ySZRJ+tzGVNIIpWv1XPNeO5I\nuN8IHh/141nTyXNqwyvAERHrc+t2r1q1KmLfbGaB7CWTkeVa11fvf/L+Dz/88Lo7xNaac2+66aYl\nS5a4edlImYaU6hg90hdCbLfEd9wBjrql5Gxhaoyid6LNRma4JWwCwFQRk7DByN1hKpPjYScNHIzR\nJRHhsuKCkaLCsl/uM5aUDHu9XltWjkH8oo8dyVxULmIXiDLUz8O5PN7Behvnqu8uiQUKY4KP3UGO\npvK1CJ6KQ/dNtNwkGzryCpXKcgW0HcHTyXMZrJ6VXzlRNduqCYZOvHfOvfrEiRNPPPFEZWXlk08+\nOX5WgYztHmJv3Cq6WDcWgaIlWe2US6FETS0vP/puVYuZnBY2dnO4h8N6koAevEbcyivkZqCbjlKm\ny6dGclvmNdmxy8CQM5bNbeCQ0ttBcAJFaaPKft5mts9j5nFa9lAL1qd4eRKFEyjKI/swAeWSMrD6\nCMp0Jwr/AlBCynGGL2Gyl9AvqX6GxtWMz8G8iXb5gxdgqWTkFgr2MvTHDM2qjFmSa8hf33got2h1\nSmojuusJP4vOgWBDUPx19yTz7AgzdewOc20KDw7wYC4PHGG2AVcQ+5id0icg5eXlMuqBvwHy8L9L\nPu0uu7+d8emv2q3y675s2bLq6ury8vK/60Fq7qZsLqYo35pJe5TXu3j3TNa5WGXjdg+L9HTHWGtl\nTYi1erYRc8MshB8zdBa6G+Iehn+/uBlo4LAXdzrWmZwrM7tUtW0tmVgywThL/gVaOA4oO80AI1Xs\nOJPFB9hSTHkGhfVsLGapnAwvS4L7zsmbnRxYyI/VX53g2AE+4taZrDFxKvUvzLCaM6KT9amcG2V4\niH25Y/XWCF3tvGPBkNAuMxtpsco1CxQbS3Z2uVyudevW6QzBVV8X8o13V1RUVEtPv7I1W1h6SUF+\nwYQJE5aJPT6h/qPokgh9Ufo/p5kM+CSSBNxssHEFkCd0pol/VAexLFygWC3DbNaRb2TqIE+ncIU6\nOAT4aOjm7mJekU8/cHv2VVXNXn7eMO8kcbaIJYb3pPT28dhlQ5IBoWmxaNeTtj8GUCziEPgwdlCk\ncFDqmjXc6OudnJycbB3snzO9NuF3UG5Z1iuybm5jUzaLFEUCBOjwsC+TSwGXy3XXXXf1DZ743mN5\nOdkzZQfdxz67MMPqhCF55o/14w3i7OEw0IdzHHOLVbaXOvzDWG9bwqnT6WxIqc1qKVTiJdtVQNPj\ntJgw5sWpx7dQez4zj9PSREs/w0bS5zKhkAwfwQ+pPz+evfcCB6+KA1uepfF6RjX1zzmRh2RBl4MZ\nmEUaIPvYgQ8JPkfgZsyFaNaNDM7eXQu8uOzsyYi3o3mY6O1oHg3EtvvEN9NY42G5gT+M8ONkHurB\nHqLXxawkvBHWqGpGfuJSUVFRU1Mze/bo5u/POXj+t8inWiGtXbtWxpnY7fZVq1b95cF/TiHJxUiW\nLVv2Dxu29ruI6ZizkCkmhiwEonytkGq4wc7FbTyaS0WQG5KolgCWafgOkVwEG3yV03lq/t1SXV2t\nzdDWWU8Eu/xfmfxFPi56tEQFE6hi+0zmymxgdewKMWQgqnC6MOq+m6pgc4FathiJ6dArW2AnG7JZ\npF6wvPR0sl+LLyHYkM8K9YrZyq9ihIr4TsJdyOtdJ+tTmKNUFB1gm5ZkZRntZH0ml2ixqnWD0+l8\n9NFHfeJ7EX/ad++6xKKd6Rh3nnpmWcF8XGiqzcu7KVwxOJbHD1VoZ5jNUTw2VgOnB4dkS8VInpU5\nai+l0+mUxOH+8B/PKPlBPw+nc7uixk4PsK1bt27Ol/5kdd0ihEpcRQ6XBHBMcjXE+vKEiQ6B/TGK\nRYCjsYOTxNZxQglS6SVa+LjoDqPW56gykzcEu49teeOO4Be+8IWrr776zz2X07cX6pY2qpzsSCFf\nzryWGxNeswSFVMueIiYoHIwNHLKRmh1H7tSyxz6Uufe9/cuWLbPb7er4EGPDRdU0F5CREc/GfYGD\nk7D0M+wj0M7gt+JKdBvN88iXc8830TaLNFkDrafzEjJ9hDbR7iH0baYCRwh4iC4gCbgPbxEawE3s\nakw2xB+ddM4VtW9kphUZDLegsSNc6yJbw41mKoIArwXYksaSj7hnIo8fY5yOb5fiOPVbfvLyWQzp\n3ySBQEAuF/vcc88tX35aZc+xotY3Lpfr7bffDgQCgUAgNzdXdrb+Y7btfZvZcpxZC7HDpDx8UbKN\nLM+h2s+6dlYkMdNCXYRlRp6KcKOONcMxr0H6Hpqz/qPFD2VohmzUz5o8a5qxND8jfwdVTXxUzjlK\nWLiBQ+lkKetCgJFuOhRrKYPCfXxoJy8jHjAI4e2kpoAzlS+SkeWTWerihIsTqThkvLhSlFaWet4q\n4/Mi+k62yTDfAQ5o0Keg9irRRauXvmzGVBtS6jYlM6Obl2QNFMEzyLYsVdTKxPhOntMS8Xsjz63b\n/eqrr95xxx2dnZ3f+c53rv3i3dPOO6wjSfAtAtQ1afRMOM73xnF7QmRIQ4qfGj/VqVyX0BWmXSQl\nTFuYdlkbcVpwKIKnl415fC2J0oTwmN1uT7Vl69IOHm39dYZ0Z5LxlGoP0ukdioX9WiXNoGBhrU4/\nNce6KNNekCvgEHGIzBVNUzUvXqSZWyayXEO5yHRxeLzm9WIxbOQ8j8ThGM9F6IwZXo5quqT0iihb\no0TBBdlCMEiHkXFtbHJRV8ilk9KXL/zi+LrKzkceeaSlpWXBggUGUvvYkzKGwFBQ5xsBQzS56W3l\nox4O5zJ7Iud30zlBxcfqod9KupIAZyalnYbUuH2cTV4te/PidB7pZO2nUnnxsslrMB48v+yiQCDQ\n1dXV+FG9vySqWEWDuFOx6dACuaRu4YCCQe3FN4P8KYybTF4U3Ws0OulPQj+JjG00l5IBZGPeRmcZ\ndiAdXSXuOdhmk/YOw9sJzcZUgP4lhs4iCWgluhh9CsIewu3EzkB3js3++5Sk/2nveqOjoz4zfSli\nskgUtoUQ4FYLb7sJDHNRJi91MsGKEKOyjxX/yrKxn8WQ/k0iq/3q6uo/p43UpRg//PBDu92uEG/8\nVYvqb5SfvseZZ5Bl5JwMXu7ic3msyuHHPUwRKDBwWy5rPKy1si5CYYw1Hu60iPb/kCpS8hWUwJha\n0rCtYMlBDldydC4zZad8Nx1q80hN1Qp0055PWQbZym63mW2T4xzesijRqWKWtlE1iLOfDxJ2021U\n5TMfSKHET5ccb0igLAK89Ejo8jlfHZAIM+zhuHKayzXyHl8Ghas/vumt7fUDO4omr9+yruzaa6+9\n5ZZTpkaY4aBhvNVQkp+WiKLspFLLOUFGzCTyvQyTOkJj+mntNlb38FMRQ4LllMIVspEUwdPKEwXc\nLLdrSYngUTh1gAgeD+7cgtWiyyp7kmWeTZcrPGPl5gz/dcuWLZMNrFyukRBON3QyuUwJuQ1wYICa\nKdzmZEO5SLkIIL/9q0kZiCc7V8dwSfwmPNcnvO6XhEJhwWDMli3iEJItYvU3vvGNb3zjGxs3brzs\nssscDsfNj4zJ6k1jlpMNMlLOS08bVUMMiETnqjy3CVLM7GZqpsTTDKxkOONs3B8rRkwBRhSiblmU\ncuC/bvn9xJRRZvFplB6mYV7cHZeEUQkXzSN/D20ypm4BRe3ErsBxmO63qK+lby6FOZhl4lRZxmF8\nn0H5+KcUP83gBoasiFMxthHKR381pvvw3o2lEM3lUd9yAYdIKkJRUdFLCOWDvrKh3jOlwNZ0xxVG\nfualIsjLuZxfwwPFmEUCUQIajg1SPUD5J4du+C+WT4tCcjqdTz11qmj0jTfeqKDvnU7nn9MualT+\n8PDwJw7Sz7qJ1DSGBykv4NVmnlvGhl5e6CUQpTyNcqgOUazBFeXJER428A3rX5/zE5eKigqF8F/+\nBf7CdmkG02bAdqoAG4Ja/bgZMGJSrwgNHJbVlQFzLVsKmASog0kJaU/5zN/D81Yy1d8oYyLy4wZT\nNovb2NTI7xNAEEAz2+TQlJMNShQ9IbdJi9VAbhtPpTBXi9XpdD7xxBOZmZnbt29fsGDBl+5eFWRg\n9fybEmY+wYaJXHeCDWGGZVXkdDqbTEN9kRMZ+eFcVvyW91KZDmRhySTJR/ggdRJiDMd2dkwkL5Mk\nQESIIUXwN+Ef4RwdB4FpZDUx6CcM+DGcQXM/FWmsrmckgMeINspZtbzljvuyYgTD7J/I1Z3erQZ9\n+5E+p3GRtXX46JnzJpspchqDLmN/ORpZpSlqTA0rIF5ZNY2lMqJEVu1ykW91sEdOXJWPy0XCDDs0\nm4cZLOYsSxwTWBHlcLRsszQwTkjjokumrLhEV3/01kceX5D8wddXPaD4FXRYmtjsw2UhS44pVvG6\n+kd2MLuOXYoGMpAUYkxlbz1mD31WMuTTUqapwQulTGvgsEJEktA7u2ime8hji1nlALBfhV+YjaOG\n5kVMASzovaokJAu6LkamkT2N7Nn4XqQ1D30JKYvI3kTbheQDk0hS6CWBK0jxEH2JoS0MP0ouUITG\nTcyG+IyQ/J0Qt+i4XiPKeUivWJO+EUvKFTzuHVvtK5bfYeH6QWqz+Xwu69pYaMOi5amT3DSJ79aw\n/a+4eD4T+JTHkP6yNkqQT9yR+oOXeOhDJo9nyWx6Q8zLIpjMxCT+cJw3F7GmhbVFrPGwXGSrjzvT\nsf+7AkYul0vO35ahGf+YK3IA9w52nc2iOH4pMZiUAHYI4tvAulXcqNZYCXECeRIjfhkNIbecjokI\n4vuAX5zLberGbg4DSgRCDlEMcABIGwuG7nW3V4Ruf/nmoUnjp3V2dt5+++0zZ8rAwgOAl5Tj7Mvi\nbBf+djxZWGJ0tBJIJ78A4y72plMqa50I/jrvJtv+kouWnJfwRWq0xceGT8ZzRUIJD1miDNWzppSf\nqe0hVPGtfndrvfdnOZEbDuw7Nn1eobmgX60/9rfW1Q4dy5/m0hKOclY/0ST0DuxNdPdwIodSC3qZ\nijeTJA+HwtTO4jK1b+30q1VurZudI3Tns0JCaGabOi7IWKCKS6I6xque9/e/cLx45/sPPvhgbLzz\nSGtli9tT1nuB8i9rptpKeoYqcSohUNROvQGzekDCC5MAbTg9nDn/40JHFRUV+rIkQ1Q/L290A/o6\nVZfHdzyH6U5CL7MwMBbCsJ7Oq8k9wMBxhnYy9Kv44/4VrbdQALQR2s3IamzANXjyEe4n2U1sPf5v\nkgSsCY1G7Fq0kQfQAms8nKHDoWFdt3tNZPDRk8GenMkvl7KmBfwEolyTz08amSiwyM7Fifnun4z8\nN8WQPi0W0ulSXV29Zs2a8vLy/fv3y3Cpf/MFrH2DsrksmcBBNzPSuXgi9zRypJ+7p7CumxuzeWOE\nlhGwsDbrr8/2iYhsDMkG0D/pk0zDdjkrt1OVim06pS0cL4ozDMkSr/U3Kq30lXPhdt5dwgWyTqpl\ni7IdlkVmHLeRVssWK+kGkrz0MNaoAg6w5Vxuq+ctZQUM4e3hsBq5l8eFx1kvEVKW1+rq6hdeeGF4\neLj48oA/OveGV4oiTAYG0L/AwTJSKmmcxBmZmIFsQtMYz6hq2b48Pkk69WlkyrGQRp69wnKNbkmy\n0+l0uWK+ce8uzh5dodTKRl0RDmhjUxaLdSSnMXuAAwnK8iRbRKZLjCVzgM7aosH835qHLh5JeevM\nvAe0WCcUTZevQT3sjIIpM8h/v//2RemPtDt7z4tbutPIbqR6osoY7aCnnc4AWfsRfdRbMXbiycLS\nS1E126ZSJiLISTZpzKrn1wPUpDHbocJqJ4iFLKWwkF1gmYZJ9kDqzZe8e47rpfq7t9xy7Ns3/HDe\nJSlqDVFMeRWvq/VNMulqGyiPyQkDEsSISWFbAIqY0E27Am1I6FVEKbunrR51CRSScZK+QjLk3+oF\nDioKSS3JaDsIzCJtFmke+n5EdxnG1djyMHqIWNHmo/fglQc/RvLzRO7DezEGN6O79jNEHCJAdUjz\nmC56q6C50Ux1mOowI8k2km0/truuONh5K6llNuOcNH5YjytMmoakIJUn/1UK6b9JPtUW0t8ln+w2\nIf96gimcNZ0mgWunMzOdhzu5PIfmAe6cxoPtXJHOAx6eyfrXGkZyZLuiosLhcPyLWENkCiItw8s5\nRUyQAIIivj8NMCLrJAGpng/V2+EAI3JRAPl0J8/P47IGNs4YG2ZQ+CMGcbo4UcxSp9MZdBxOsKKA\nd/l/mR1zn924syXFn+nVRwuSvzB7WXeWKwuDg5IoxwsYlxpPsE8AhimGgmzNnA4Y62anXAxJswAA\nIABJREFUjmS1Oukaajjc+c6c7Ov67K/LFTcSPgIMcGCELsWmSTBH2thkJsfKBDnko1ixo7xtjsoY\ngWxWq42nBHqLIY73sDOXz/VwJNU1W52fINNeyF8tD5vI9acjHuWrSmF1P75hQk4GU/HWcHAGc4bQ\nzyDbhM5BqpeeHo6oc8tCeNVm05btm5LmDXeED80avGpiUZnL5brzzjv7Iz1f+s6Vl5edInlKoE7g\nNBuojl3FzFYGeOhrp2EKi9rp9hNooiXIkIEUE8ZUbB10S0QFNKnYUrEBXQz145c/a0YnInoJTiav\nnnY3g9OZJlT3ypHjk+VhxUhSY+rkGpgXxmH6spEkHz/N4AVYXmLIiGAgeAPjgN34ABlidxeRB9Cu\nx99CtAjN1ZhgNLXDJXHxcOwti2gX41Fk3yi+rsJNs8vbfsLZKFp/c1bRBbvZczbz1rN2EY2D3DCm\njMknI/9NFtKnGmX3d8knCDV5+j027GNSGVkWzstjANrdZJkhwjXjWT9AoYHDI/xyHKZ/DXxBLovi\ndDpNJpOMEvzHKnf9LWLFMo7sJtrNWKxYgAAjTTQo7ntgD7UTKLJi0aLLo7CKHT0cmcEyBUPFWMZx\nIJvid3hyMmclLJcK3bgJu4sTIXxHG2t37Xk/1JmsPL5XXnnlF+vvP7qnzW8fmGGef//lt1x6xrmX\nlSwcb7EaqDmbz2Vhyaawkc3xkk4HjKRZxuzEBQ/He9mTwXwzCSU8BTd1fvrGMeY/nGxMj2bUa02R\nzsaQ84B37Lsk+OmWv6iISxPa5fmHOB4jlMn82uojHb59sWF70B8tLy83mUwOh8Nutx9jTxBNrgqg\nCBhJ66RCziBW1Ixcnq7INNfhcNTV1QUCgerq6kmOGT3sTGN2Nzv9dDtYDVjIbGGXQj8qywjdNlLH\nkZ1HSoz3C0lbznlBji3nLAnc+Kto6yO6mxNeDFW0BYkGiKSTUtO9aeiYPhAI7PG8kz3TMkO3zGWQ\nym0LAJPJtHLlytWXXPlW3Wv3XH+fKIoyj7hcOk9tA/XTaidHeTGspNfzYTYTjtNymIYuXJ0MdOOS\nNdB0SkspLaGoiLws0ksoKsFRQlEe2WnY/j971x0W1ZW+X3ovg1JEQBlsaKxgiRpLxJJsosYNJpqy\naZKySXaTrLCppi9oTNa4SRxMcc0vxkBsKZbMqGgsoDNIUVBgBqTXuTAMMP37/XHgepkZmmmuj+/j\n4wOXc889c+/c857v+97vO4PgPwwh0Qhj/0YgNApDohEWCN9ohE3GyCZ0NIU6VYoMpQEdxS0NjQSR\nq6cPXIS1U33gchx1U7qWVnlondi1OslGx3x4z4LXGLj9B7oOOE2ES7hAYicCToHuhetwOL1jNMxy\ncBU5oJQgAkIdEWF0eLMVYmeEOkFlRrwHdlSiUY/VgUhvcb01Mvi8o785/2Sw56BPz9Pz05wl59Bh\nxG2/gZF0PansblhIduB2N8RDMe1m1LVixUw0dODsZXxxB1JLEB+FvyrxwtBfoWyiFdg6minl/pD1\nThZyPOA+AWOEqUgMVokgTWg+gIMrsNyzSw/djKYylEzqvuHC95D6wCT0+xXg5zCM4V06AHKxwwzD\nFDz05ptvHj582GQy+fr6Ll++fOLjgTOwQo+2czjEr7hzsSMaS3lDism9RuBWWxEaAAU2BGBkZDf+\n6MR+rLsdb6ihYrU7jejQokaLegdQCy6Nw0NtqC+pzXV3d3d3d/d1HySCuBzfO8LZpcub5ApvA7QA\n1MgLwIR2nUbTUerZMM0UXOXp5u3q7qiByh9jALjCSwRxCQ4FY0I1FP5dc7c3gr0QZIK+CfkdaHaE\niyPaw7rulRu8hUoQAKmpqYtWjTH6lLljsDDsJNz5m4cKaUGYyySRrp07m1hH+2qR7wqvAIh3nzwU\nMiEqz1TtZTGpB1Ua4TEHE4ZhaDC8a1HZDLVwacJM5x0ffyOVSmfPnv3CCy9YxY14GwhAGYrLUNKB\nNg+EsWIKts/iV0RFc0OWvrpIUzdi5IhC1D+GSUPhju6JR1XQXUTbAgxC94iRCiSFqR76uXCtQfsS\n+PjBCQDLfgUg0+M7wi3OiHNCqglJLgCQ0gi1K1a6I02HFF9wJjxajCUiAIjzh6wZu5qwM5S7/4jL\nKKqwBEbr2hAT8usbSdeThXTtxpD+KNz8V3h7YOIkVLfgpYVIOY9AJ7x/K5IL8MQIvHwJH42GuN9b\nFPcO5tVhxSOYPOEP/GKxiiwyHPcGhGyUgUx+v1qGM8hZgeUHkbEE8xgnCfeu5c+aialGaHOQxYhK\njzYD2oVsxHHcj6cvqd2rXt7wzerVq7dt26ZUKsVicalfFpvR3OAViGFMy8f2DxW69ZjtpUR6FLqF\n07So06JeDedmFGuwIwQT1FAa0BYAsQFtKmQORtgZSCIwE4ArvHglRS52hGJOACJDMD4qZAEAtidN\nfPz4IhwYhgXDBJXLmQlbUauKmDPIwYW7WZQiKPXHvHmdvsoKZI7FigCIh2CilaMMQBhiz+IdP4SM\nwtNs5AD00KpwTA2VK7y8EayGakFClMpwotXU4Fkb5RKWDyAAka7wDscMJQ5b9VmBGj0yhc7SsbiF\nl8B1iWIuBi1smECrVsxaDGAkXJRQNMNlCeLroK2H9jCUXnCtQukluAyB9zSEA5iE6Rk4wGvE58yZ\nM3f1lKFPjOGNJCNc8lCqgRnAcIyw+lb8pgj3DwxHIIKRmpr68MoVx1xqzF5uAKYiYD8qmbRBqPMW\nRozEcGiF46vwPg5DPhzL0JyEQQD8ARVIDIc4N0g1ELkg2YgAB3AEkQNEToh3h8yIajNUJoidMb3L\nNyypRcpwfH8ROf6i56bhx7Joqi0cOTRiVz7FR3uLPGyHfwPADQvJCsfOYNG7mBULSwCmD0OxI2IG\nQ9OKx6fiu0rU6PDPsb9CZSrmkespYeiPxQWUlEE9DxNZYkc7dGeQM0+wVC9GGYCRGN4OHeOkelRA\noMezOisHWf4IGI6R/CJ948aNly5damlpqVZXvZD+13n+iy4inw8+6dFWiBPF6RpWsAtAJnZPxmKr\ncJQWdc2oqENFGY7PwiN1yA+AuBb53ggSQVyO/CjMqkO5lUHWgMsaNEYhxm49JJZiZatAy2zY6aUf\nqnLOn+O2ipW2ZOluLLojw+tz8YIwTAVByEeJwwB4wrCqusSGlIlv5uJh4ThhIzvMxY5wzKhFVRjG\nZGacEceIALT5lHkjuAY5XggcjFGMs0twzg9hjgiyMlhPt+9tO+XNi2JEIhG7CQSHczgUiGFRiLGN\nHbIjRWhvhYEpqlW4FIcZ47vMnYyMjB8aUh2VEfOfXQxPhwD4j8cYT/xKS7arBUtPlMlk8fHxZ9Dy\nE5qC4X8zPG+C+17UT4UvM54OoPUmuIXDFcCnMN8KRzEcANxq1M9wcVoLJxEcWCQJQEorErwAB/zT\ngMEOeMcVAJLqkBKM9A58w+HbUKh0kDUDwM8avBEBkQNWH8HbMUgrAYBmPQI7GjMKG068EN3DwK8G\n15OFdIOQusF/IUKj4eGPO2dhZCD+rwDzxEiYjL+fQ4gHUib33UNP4CvpMSq6lksitkG/B1l3YboX\n3A4gYy5mCOcXofuuHbpjyPRAh9VC2OqsDBxwrDPvSP3aUuFlMpmmT5/++OOPs+MzMNcdnjnICsFQ\nJq/ieYsvgOsl7jiBL0dgvDdCtKgLgFgNVTDGd0BzGZpxGNuAcqHeT+g1ErqqhA5Aqxh+BTJdukwl\nK65SQ1XUcCaoddqBvDQvL6+HFnYrN56DQy5w80OwMB+LoQifDcZ8JtzgD1qpCRpwWQnFDKywdamh\ni73YUPkh8S4yjuPS09MTEhJ46tKjLQt7IjHaAZSPIyMwpbq5JMAlTHE+K0o0xTfUN9R7lDDeY4D2\nID6PwOie9nSwe6QZTRnIN2DQIHhqYdCg0RmcS7nDt+t2+Dh7v/TSS5GRkbhmwARBAMRi8QG0nocu\nAi4laH65q0gEX7kOAgedyoLjFmp0tkTCoRTE9pHhLEjvQIIXAEwtR6I/4n2R0ogEEUROeOYiHF2x\nSdyZEPLvahxoxKEJSLmAajXmhcLHFVsLcO8IbDmN5Mllfh4WPov/l3/G64aQbogaruDPf0MFIWgw\n7r0ZtXocVeLj5ShoRHEb2oH3ruqbo1Kp0tPTWUW+2bNne3h4iEQiYemaaxCucI5CyAkUEkyAJVKw\nNyCvbmC/usBZicZm6MYKJOOVqDXBFIkwjuNSUlK+/vrr/O8Li2ZoNizbsOLOu5YtWxYbGwugFpUm\nmNhGtyEIk+NkCIbWosSC1lZUNKG4TVTsKjIaRJWnsuQ6L4/RHgvEiA3BeD+EhWC8N4JzcWEG5voh\nsAoXhYF04Z656KxhEwhAjh8mYzFr5gTXRlzygIhFgyqQOaJL4+CHsEJ8167y4jjO6NB2svarGM97\nQ0NDp42ZrYuqMqjc2Npi3LhxBfhZhCEjMLUAP9sSUjvoAn6K6W4PucK7DvlMhqBHG1/nwqrQDkMb\n6h3gwKJEPEHWQsk+rIeHR0xMjEwm80awyuGIl3tQAX6ehXuaVHoz52nW+SmLG0bT3DHBMyaFLfAZ\n5O7h6paNrwBjJbI60FSJ3HycNWLYPNwmvG4lyviKPnaPuMOzFoUzMK4cRU5om4axTgh08guYsHxe\nwOyRH2/avPeLnWKxeMgQKy3JHwOmKGH+1fEefgs8BoXD5SLwE8wOwDA4FUA/Aq7ucARwCjQTjgBE\nDjhkdkh0cqwBnQKVgGbD0cMBaTosdAMAsRPOdKDEgAf9kcphtidu9sORRhzTYuVgFLRjdSD2XERN\nBx6NQoMZ+fUoUOO9WXjiMPYuR1qe/53TRKGhoenp6aGhob9wQrghargW8QuXCaUVGPNnTJmH4AD4\nDYfOiLsnQN6EKH8AA4tDsgmLBYT6X638GsRn+DEO04YJXElW6oY26A/h3DQMz8dF/vgXtTs/j/8o\nOjrax8cnJiZm9erVP6NgOALP48JtNlmQaqjaUN8OtRYNtWh0hWU8lvB+Kr7lRG7GMYeDIWXDRw8b\nwxcp16GDxduFpk8ODokxRej+YsaHEgo3eFrRBjNBhG40tqDm3LZ4dASOjZysxJEotiUEqUCkobMA\nfDFIp9NVcZc9B7sOcYmE48wGhyYH6hhsubLdqgnGJjqvd/CLgBiOsYArHDpNEI4KyMHDG0MKnFx4\nOQBzVArVAQB0aP8Jm5fgr0LXotD+4/G97tPawqZYLGpqahKJRGzdbZVnCoFKOwdZAELgWYniVrQE\nwM0bwa7w8kKQI/ys9ClWu0UUo0yB7EiIp3ePLDLko/ZCe/XhI4frNU1/HbZ40az5tm3+KLBILW+X\nHIfhGAy+IF+YHoYIgAp0DvRnOAJINSGuK+tofrNllYtjghdUJiiMiPcAgJRGxHkhTQOdBZuGAEBS\nIVaGQ9YMtQkpw8Hp8WgmVg2HXI1/RuN+GZ6biKJynKvCCB8kzIHIC+gK6f0S7/31ZCHdIKRODJmP\ngGHwCMJzd2N/McL8sXIK/p2FWyL6xUbMZ82Ucte4R25A2I3MGEQxTspA5niMGSTYhu4QcmYj2gtu\nWZWK9NO7K74tGXxraKDXoNfvf4Vvw0hrBWZUorYKtSPhy6G0HEo/BDjBEIzxLDgP4FvsE2PYlO7T\nHF8HmuU5uSh82ISSK8oUzraMb9zgWYWLVtO6Bg1FyPS0NI21+MHBB6SCRQmHADiINZbv2lBtaPqz\nY4cyPMy57HLZ8Mi74SACOSsdfgIQiskeTt0UE4zeGAWO5uazcGBcXJyVbzALe+bgfluVGiwqWPKL\nHE6a4DkWs0EczDI4+MMxthQ5YRZnF+jgtBAWhYkqVI6DTQ4+IzDa1XEWHERWYwCgUqlUKpVpdqs+\nlywTPSMuBDKbib0ItgEhPdrycKINFpa/zA7yiwwDtGqU1iG/BjUjMckArQhitjhgXrss5KjRPALD\nR3Y3oXrCP996rTjnQlxc3JNPWhdz+mPBmIlZFZdh/hx6H7gxvxzvtQOQYuxU08n0qDUj34THPSFp\nR4ovAKRyiPOCyAn/rMN4dzwdAFU7FC2IC8TTSjwWjPn+SDqH2AC4OqJOh/hwrNiDo6uw7AssH4f6\nJiR1F3ywkoYYeBnoG4R0LeKXPJW/vYMvpRgyCfE349tcrLsHIg/8JxdPxyKuZ384C3IwpVx8fPx1\nQ0JWYJy0f9uu+uEtz05M4D9mAzTb8vZ+99etfn5+sbGxUYtHj7o5Wo3m27pHIPYjIwJaD3gYoC2D\nKhxTIjC2ABesAhVNaM7HRQDTMIkPPrHNmXji4ckpExnIcQvyDRZ6KjKx29ecNxazYZbCMQqkATXA\nMRYW+SnH6liHe1zJCKd5/MyuUCguO5QYxjWNPD/d1pV/GNuGY6RwRx8GZqBo0DAZi/m4i0wmc52o\niXSdGO4Xhe7porZmig7tu/HFbCyK6FZOu5vpw2cZ6y0nlZQ5FhNhPgYY4BgLUikbC7TtzsN8nKub\nxyHKONRxuZ9DFBNDslvH7LxQcYgwVRlABjKLcXENHhJel7lhheuMi8gLwVB/DKpFPgcVgHzkuSA4\nFvPDu4+5P/j444+PHz8+derUefPmscq2MTExf/gEylLOmcYVAAf6DBYArqA74MSkDSwHloFlv6a0\n4rwJb/hA7AzOjFQOSYMBYOJpfD4WMX5IKkRKNDgTbj2OI7PAGSCrBWdAQQv+OxMvH4DJjIWj8E0O\n3Alv3tFpJPHgujCg2NINQroWcdVPheMQsQghEVixHKo6rL4FmY2IDYbRBasn2mnP8ueZU+43qp5w\nreFnFDShZnrzuO2S/xYUFIwaNSovL8//4bGrPebNnTuXb/YhDs1AxDRE1+NCE0oAtEFfA8t8zOfT\nYw8gwxumqZhpVdeZX6cLvYK2GVEZODAG4xssP46nqKZGqVbr7OfT6B8QB7NM4TTYwcF/iuNjQmMC\nQAYyIxBSj7LR3ES+egKAUHFIJo6xgknDu8+zjAgB2FUt78Tm23GvlSgOwKHmz53kEd5xGmEpP6uS\ngOiScgiJlgczfaxqXjBKYwJ0vnhuDg6NwS1y+mGaxdMV7jDnah2d1FQa4TAOxMExprzS2cd34r6W\nnQ8NfxJd8pPxGANAjeYJglxaWyElBDzK9r6bhklu0HMo1aKORd0CEBWMm2xvjl2kpqYGBwe//PLL\nixcv3rhxYz/P+n2QmprKqnCJRCJGS5k62urqLHKEygKZBQnOAJDahngPiByhMGBtBXYNg8gZKY2d\nhJRajgYDRnlB5AKRC2L88EEuzmjw8TSkliBpHB7PwmA3vDMJ93yJBSOhbILOAH8nvLHU/qiEWow+\nP8INQroWcdVPZcEqlLRgxhQY/eDjjrHj4OWIm4cjZviVNsw3EhMTk56efh0bQz1BpVJtLvuhaM8Z\nTc7lhISE8vLyZc/cW+XELfaK5dtU4VImjlugi0RwCMRhiEX3qpcMl9H0HU4/gzuEB3kpOYBK1LIZ\n84q/y3wU1AhSAWh3cLlAWVMd7oXjRDh2vqsKhULr2u4+3qcDOqGBhS7DyyTTlgYVLhp2h7mJ+Dec\n1/jZGjHsiC2XALiIPAMsHYBtBKUAP1tgupzVOHNUHMdxwgvx/QuFhVb+NHR6F3O1MPLtFQpFra4q\nZGKgqL6bOXgYB9qhvbN7AtaVnVUtChAHs7TdMfhCxfHQwMh6J0u0y0x353tgEwi0eyQTGb4Ychk1\nPTnoKnGmFTXs52CM52s48WAp3qxy0pW9XzMyNmzYEBER8cknn9j2+UeB+dvZCw6AsyC1DQCSfK4Y\nSUKJ3brL0BFWDobIFbI2JIgAIKkQUV4AoGxDSjQ4Hf6djxoLbhsCHxfEDcH0LTj4INLzYDDB0QFD\nfJF6Ah/dDbH1wuYK+Gmn9wnnBiFdi7i6p3LsGOKTEBqJkLGIDsODt+ItGVZNRHws0OVrZi2vGx1L\n/7Fx48a6urrLly97eXlt3LjxgKh8BsJZRZYduozbOiZKT++NuT3CAK0J+ny4LsXt3nDdjczFmOwF\nt0JUAogWiPQA7EDuLISWo4HtF8DQbUI0n8vFiRGWpirUjXKYDOLgMAZOc5jdcwg5RrTcjIlCFxOA\nr5v3TldP0DsayobX3oZ5vEOmeETlk8MfYm2ExHARee7wYGRTi8paVPFh/ExkjMF4RhVWXFWLyjKU\nzMA82xkcQDHKfob0EayBQJMNgQeMmXd88VBbgXUTmr827rhPu4rN5vx21FbDYOUHHeG/uDspCnmd\nx1bsuEk7eoxRXK7aNHHCYKCtHNWDIPJynA0HMSN1fhHATmmA5ijyRsB/Sv9soFrkt6LGhA5XeB/5\n+vyC6Z1FEXt6Zc6dO/f6668HBQWtX7/+mlrbpaen8xX0VSZI2tHsiCTPTmlDSiuSfABcSTYCoHTo\nrK2cokRCBFTteKcE70VD7ImUbCSMQ1IOPJywKRayImzNwpY/I/koAOiMeDAWL+3Dob/2MSorLYYt\nbhDStYireyrDRsJjPKLHIGo0Av2Q1YSx3o3zBuWIxeJrMGv1d4BCoXjllVfGjh1bUFCwfPlyljDE\nYwdyZyC8ETl61A+GhzeCCzOaRkREmwa5Vfjp2MZovIrB1jzKRy2A8Qj5GQURCGRaiUzLrskWnRtV\ngtRwCIBDKBxnfex4ajVuszIg2qA/gcLFmGTFB1nIGYqQMISoVKpvL30nIt8FY+aJRKJc0SVhxRqe\nhKx8YhDM+ELxHoQOtxaVQVNQiLyJmAagAepWaMWIAABjG1y8NNBehNIH3qEOoX7UqeKtqakhB8fa\n6iqnKSa38DuEu3Sju0OS47jalrps5wvBLoOHegyJ9u22kS5PaRBUeOIVJcKWV4wkgGUuD8GwUAxm\nt5o5gjwCPC/5l82zBMGiADWALsMh4IKDaZzjKjiKDyHHE67C5ULv4EViYrHYO8C11f+SAVpnePhg\niJVa0gqlpaWJiYkuLi5r166dPPkXpPj92hDu7SLTY2sz/iWC2BUyPUQOiHEFgJRKJIVBocVbVVgX\njsme4IxIr0FCBI424eVMnPoTVC2QVSJ+BJYew4cxmDwI6w5BZ0KABxJmYNVX+Ndt2H0cD8+HuH8K\n+fT0dLanu9XxG4R0LeIqnsojj+K7PCxaBGUxRtyUN8THyTts3IMx14+ov5/gOO61117T6/UA3Nzc\nNm/ebNvGAG0FsrSoK4DBEf73dK8R97kuy+f7cv5taYDmcxx7BHMDu28LtAO5qzERAMyyS+b/jna4\nqQ0dKgfP8Y538/43AFoYdiFPDE+raZFnuGKUdUDHVvSnczKbR3W4nDJzHMeCAXt0BydWj9I4a1Ve\nlSsGddsGkBFPBg7Mq3CBgwt09aiXA2gLGl2P2vD6xhpLafiwv0LPseMIij3nrppsGAMXr1ycicYE\n1y5/oDSwY6F7pynAIjSMIzspoULWeUkHp9bWZqnh6GiPqHEe46BRoUUJAH5Rla16remMf4NjYa3D\nzIUL6+oPRiAUQbEKh4sxrjcjPM525FnIQZe3sAGai6i0ukW8QoFZUWxItiuDzXlb7w+/Wzi15Vh+\n8LKU6Kl4JAW4OXjDMQZOfbxNMpmMKQxhTximhqoO+QBc4R2O6Val3HlwHPfWW29dunTpiSeeuPPO\nO+22+UMgtEtSGgEgQYTktk6JXXojYrwhdgdnwi0/479TrigaAPztOEK9kTQFSaeQMhOcHou+xNnH\nkJqJqWHYJkeoLxJmYMkHyHoZKTuRdG9vIxHCrurhBiFdixjoU8nJaZkzz2fozEY4uCbcoy/VB98y\nCvFz+z7xuoFMJtu4ceP48eMbGxvj4uJWr7azHTXjIfYzP618gsL7MYLfCpq3e/h3eFTMhC9QOA2i\nGV1l/wGcNH8+wVLlw3IwneLaHG86hHMe0Nn6vhhvWVkAVg7AT4v/b/XIu0/JTlTc1PhwSLcXmunL\nO1oKfDMqPYw10aGuCIpFzSkMmanWnNHoVL7hdwcgEG6DEHRlYZ6BAwBYgEfYGzOSmqHma0kwCP1j\nwsoUQrWbcDw17R0TaoNZYgCLrIhEonLxpXm4TchnAHJafhijcXSHKyqk8IuCowu4ixcigv3Kc5yC\npg9xG43AGLiLYI9pmELBA+4QRLlsbakmNP+sPDU34GYWomBG7VAETO/ayw4WBcwyAKAmOE6FUxwc\nRMwRyvxa/ZfzaFFXg3OOcIHgK2SL5557rry8fPny5Q888EA/e/590Flncpg4uREGJ7wWAJEjgM6K\nDABSLqDDGeN8IXIBgLjBULVgXylq2zEjGD6uiAvHukNwAF5fjKQfsXIiXjmAHffhvb3wdIOzEQl/\ngsinlyHYgVCLcYOQrkX086kwe1wkEt27eqLe7CC+1Wl0EHRBCPFAyprfYZh/MFQq1YsvvqjRaMaO\nHevv7//qq6/abcZ4iO3YZjuJtML4OYoewSjGSVfsni68W/zTUpdI5XDTbEvjIJMMDp56mE87jZrn\neLew2Q7kukJ3d/eSazy9QTDhshlzkiqIJRorFIo/xd95BjkB8PeA+8jKUugaUS9HUCzq5fCLymo5\nEBYePxRBCI/jKweKxeIGaL6C7O82RXoApOO4E/QrYGej6XR8PRJiq9Jw6Ap98Q5DdtBKtMYsldGq\niAzXghmmkRfO5vHiTJFI1IymIhRWQsuXqbXtgSENJzQwP4a5nbZXhRR+UfUdJXrRyPC6EoQvhK8Y\nfmIAH2LfCkwXlta2a0vxzr1teXstER73+M+z8v4xcBzXqsn1cD1ZU10QEe7tPyi+T8upJ9hd3Fhh\n48aNZ8+enTp16gsvvHB1V/ktwBI8VCpV6/S4tDp8PBwiZ6RUIiEEImeoWiGrhcgbqnYASIoCgJRs\nJIxF0ml4OGHTHHDt+PgUNPpOf11ONTZJsfdJLH4LTyxEUdkAjCQefL2+P7Yo86+La52Q2E3vT+Sz\nF0JiDm7hhujvbcRbb2P2PQgU4c934Itj2P3SrzvwPwapqalisdjqPnAc99VXX/12mvIHAAAgAElE\nQVT444++vr7R0dExMTG9+EYqkMm2ebXdMU+IVhgPoGIlxIehjIRIuEFnveVCuWVvZJPGw8Njt27w\n8qAEb7juQO5SRHt3L43zGYoGw7wAUcLjQnq7jIZGaDhZqXam16j6AHeLi1gsRuVR6BqhUalQ1eDm\nMF0fCs9QDL+DGQ0A6qD9GaU+MAtj/kywVB5rvtP/ZtvZmU3Z7TDYRmXaoN+B47MRbaXOAFCMsirU\nesDdSnHHh7i+3rvT7Rbf+Y43cxwXLB7KAmAQxF1ujrslFd8/jjusqpEKQ0HoSgU7iWor4gfP2S0q\naFSGhqxst+aR5sGcqWmE71T4ihFkZ5NvhizkDEXoGahiEGVWtbJSv7zdwxZt7MXp5sG2KGD6Ho6h\nIA5O8UJHa//BqvMB8EZwePdRMXz55Zc7duyIjIz8+OOPr6L/3w4ymWzQ8BH7KGh2oKfYHbJmJIQA\nQNI5pEyGogXvlODVEZjsh/QSiH0h9sWqn/CvGZgc1GkbbZcj1BdJt2LxW3h3NWT5qFbDzYIX7xmw\nkcRj/fr1U6Z0Zu9bP6//NVzThJSeng6ALW/73LHblpB6fKmA4ZH6IWFuhlDcORM5Ndib/KuP/Q+D\nTCaTSqULFy5sb2//4Ycfzp49e+utty5dulSYMGQLLeqUOOwKr3DMsNpSryfUoH0/Kj3Q0TlLWhQw\npcEh4LCD+wKnB5koTgvDh2UHFjmOrB5kXurVLcTNdqnxgfN3KOTn2X0onIHwYHjzaTcZAcV/atW2\nNBwfhVC4iaDn4D8GoXPgLtqBXAPMD8G6kIZdjx+An1EwBmHliuKsoZVPhXSr583ma140YfWnxZjM\nZBpWF2qA5r84/A/cJTyoUqnO1xQ6jXILKRfVx7QKi8zassJ/itPHhdxk1OoWDekW1W9CcwnKGM/x\nxTLqoC0FJ/SC8h8qEL6X0XARVewj70Dual0EGhRoUMBNBENrJdW5BE4LDr9ioWai4hJK/oIrpX1U\nKtW33367YMGC8vLyiRMn9jGvsRoTpAIApzg4Xk1CnhZ1RTjoAX+73zqmER89evT7779/FZ3/RmBL\n5K+LGy4HjdJZsEkMALIaiFwRMwil7Vj1Aw4shci9M4AEYPp/cPARcB2QFSMmDO/IsPshqOrwVCqS\n7sKZElQ3wd8Fbzx4lUO6nlx2oP8FJCYm9tlGKpUSkVKpVKvVSqUyLS2tp5bPPqsJizDHxFLyFnr2\nDVI3/5pD/WORkZHx9ttvz507d+bMmU8++aRKperzFBUdK6C95XT6Ki53mmqPGT8ifSLp3yaznIiq\nqe1HKhe2UVLTP/QytVotl8v5gxoyfENK9nMe1ZymciKq4OpeyvxCLpdTnbz+6NukSCZFsj7r5dTy\nf9leWklNp6mcP1cwpHIlNRGRlnQH6Rx/vIzqj9MF9nNJc7mkYJdarWa/HqRzWtLZ/kxEx+lCGdUT\nUQFVFFCF1Rh20ek8qmGXS0tLYx9QqVQS0X46up+OtlGHsH09tfBjYKfXUwsRfdaRyb69Quyno6wN\nGwDDV5RjeysO0rkyqt8leIIyKqmlVqtmx8s/ZLdUp3jnTO4/i+oOsuNSqVQqlSqVSjZ+tVqtVqul\nUil/f/qGWU66BNInknF3f0/pjnI6XUB7i+ig7Z+ys7Nvv/32xx57zOrLzO7zH4jP0/f8Sd4quahh\nvyZmdx5PPkmJJ0leR5LzpO4gIko+TOsOkrqNkg8TEe3NpwdTiYgSt1PidnptJ6lqae5LpNZc5Uhs\nvzz/u7imLSR0rfdXrlxpN4jKdqZhP7NmfImqnsBxluixbeIon5tno6Aebz+HmN60qf8beGnTO40X\nLp89e3bZsmXLly+fNKlzjc/7vm0XUGy7VQD9N4m6wXwOlp9A6qPOcV6O06bBjx3+DEWPoptk+Qxa\nzqDhzwgdAk8+z0Mq4m5DuA9c2OP7oO6nlbUNHR4XJ7iEurn4w38UH7c/jloNDEPhNbm7BJz37Ald\nfFoYhPYWbz3Axjph9tNFxXm59lLs3Okx6NxZWmgkXUaDMF/Kqocduox5uugaZeWhQZVP+s2x8irv\nQY4Z+rttwk6HkMM6P4ScMRjK1NiHobwJwZWKS8J0k2KUHcbF2xAzrFuh2IpIiIK7u1I/xLHJCLRy\nQtoG9n5GwRRE1aEtExUTyzxcVLJBlssAPDw8PIfNRZh1FVRhUg76CfM5mHcCgPPKq7CZevlOlpaW\nvvvuu5WVlbGxsd7e3ixqci34pv6d29bQ2PhopFlmFsdHQOQGFQdFLVQdmBaEM/VImgKuHel54Nox\nKhA+bogbhRUbsGoWRN5o7UDGBYQGYFoUdh3Df56+mjFcTxbStUJIKpVKIpHwvz7++OP8t43juNTU\n1KSkpN576OdTmTWrtq1dNHy4m84Pj65E/O19nnGNQiKRFBUVGUf7V/jr40fNWT1pUU8thXkVANRQ\nXcYJXwy12ma0X7CoYE4HqYUzzpeongq/MfA6hyYAVszxH5Q/jQghUZ2puJReknU7wkMcq4Y5l3g6\nm+Hi/XnY4LFBi6z8UXykyorn2AzO5mUtDIehXIZoALaRKsYih5AzBWKhBp0Rz2xE79OdnlEdAWCQ\nrsWvtQntrUXlGcNbXABkTR92S2sICuRobUaY+PKYCEddu2tlR0f2zw1ubcMDhnpETPYeNiIb1ZEQ\nieABAE5OqKtsUGa1wdgwdsxUn/EAcFGBFjWibkJLU4273uzrRwVyX3j4jZ0DHxGcnODluyPamecP\nlm5yQFReD8vfYZ2gY8U0majgoCe43d791u1D4bLupc3boH+v6SdDSdM/Ri0TFpIAgPpzqPyp0yMa\nFsdHnoTjGVgGKxPpkQnOq64izqTEYQvMgzCCLwChUqnYbnv/+Mc/amtr165dO2/evIF2+xtB0YT1\nx8ueGu14osXj5ZsDAaScQtJMpF7ALiUOLQWApB+R8iekHEG1BpuWQ5aHYwVYPhWyfMTfjEc+Qsab\nSJEg6fE+rmUXNwjp90ZKSsqvQkh79rQ/+7f28IjB8xahSQ/JO7/eEH8XcBz3wgsvODs7FxUVTVy9\nYHrC0vEIHi/QU/V+rkp3sqTlzNwx8b1nLNoBcTCnw3IZjpPgbCeY9x+UP4jQdKiszCN+d85WGFOb\nz73gPy3j0J5Gr9N3ew6qrKxyCpnaMXgWmxlfQuESiOZ0/yxpUDFDimcmAHXQZqJCONuyyFM9tOiS\n5/EoRGUdWvQwLsYkaDgUKgAgS4qwqKLWC8b2lqiRi9wLcjF8THZVA4Ap961p8/U8gcI26Fi9CXSJ\nYmQy2dmwqhfH/MXKckJ3klBBnY+6ZYgWygWFSMFPMxHWeXqlCrWXYTbnlmVE1+lcx05HlQot6oOT\nw8bIi+WebvMnzR0UPQu+V8jgMJTTEc5Il+UpixGQBtXK7sV76qA9j7opXAAbf02rum7esDkIHtll\ny/aIChmqj8FsgF8UouKZncrU6tY01h+Y0mGRwzEKTvFWNQb7REnrKUXVwVDHibeM+rPVNi5PPfVU\ndXX1ww8/vGzZsl56+N3A6ZFcgCY9Flekx8TEyJrFcZEQi7BRjovl2LoCsiIAiBuFFdvwyGTcMRFJ\nXwKAsxMeXYD8cnyehg+egewkElYN+Oo3COl3QkpKCnsNrk7UYIvIyCo4DFq61N3dHSn/O0KGjRs3\nnjlzZsqUKWfOnPn0009dRF7foXAEBk2z0X31hFrkq1ESgZneCB5YlftOqcIQOC3tZamrgelNFLyA\nEUMESTwamLbqVBNPlMfExJw+9JV4WLmnbwiA1rC54/yurMFTU1Md7pp1e2DUQZSvRCSf3lSD9nNo\n4hf+TAQxBJ62zigA25DtCqcrxzUcFBkoL4KP6Gjl0flh81GpxPgZ8PRBdAyb36WoyEH9WnSzBpiT\n83P/ghUBN6llJaxgBy+KUUDpBfcCVFhpE/ahkGkFrXyGtkMtRst+VK5E5JDu2U5aGLJQwUpd8DTT\nCuP3uzfe6TfaqTjXMygUlUoMHqI3tsvHhMyKvmuH75VKTsdROxK+fJ9MxbdDK1/tHSsSiRpFjsdR\nJ7y3/YKOgzIdLUp4hiByGdOUp6amXo2vjDiYUkFqOD/eu8HEXLi8TSYSidhXNwAjbFdRGzduPHHi\nxOTJk1977bWBjee3QeJZhBKWDlYB+NcJ89YHRwL4y06MDULSrUg5gqRbAWDea9iTiPTTiJuA9NOo\nbsKmR7F4Dd59Fmn7kdLHwtsObhDS7weWi/cLZd8MDz3UdPSo7k93DDab3ZL/hWuphpYdKBSK9evX\nazSa8ePH+/j48AlD+3HJCMsym/1Je0It8uuQH4zxwve5X3uCmWUwS+F4G5zn9edC56E7jfY16FyS\nA/jOr31WsXKqTx1aShA0FWFxn7k3GGB+svvgNTB93nRxaYtntabp0iQ/3sayDUd9hqJp8IU9s+NL\n+bZZF1TiwFFoqAKAoWL4D0bs/P2ocIOTCxytbK9WGNNQ6gPnWxAi5AaFQuE2yHcPXVbX1n9ws51M\n4X/i4KuYbyUN592GVj5DoWsRXbrERzHK9qOhi70yUREEL15GnwbVQk4EgK+MB+BQ1icBrboJVR1u\ncIKnD5ycMVS8cbTvXerBEIQMWcDpErS1aF9pU/x0YChJh0YFNxHC4lRNAHCV2293Gkzj4Xw/f4zf\nxoX1afdlt/s1Zvjyyy/37t07ZsyYd9754z0eihqkFSLlVqScQky7TCQSKYwxwd44dRlRgxA3EuJB\n+Ntn6DAi5X6kypC0HNP/iZ3PQa3GW5ux7q84mzdgI+kGIV2L6P2plJaa5s2rCwlx9vAM/vwz/LHR\n0NTUVH5yEYLjuE2bNmVlZYWHh4eGhlrtLp+P2nzULUBUcM/pQUIwJbcfwoZjTk9tmLVk7YoxfQHL\nxT4Xs7aD//fFszNvmuiUlR87Psqt7jultugmv4m82wfAf9GUj/b3ukc7vkT1MgT5whnAZ9lSJz+v\nZQHR+SK9D1yswlE/o2EvLm9ELAAUKlCoQCsHoB6GS+PG58ZOeZoVl+sCb2PZ5TZmMXyGohVcICvi\nzhxTR8WmRzEqDaqxZWZ9kwYAP/OmQdUO02KEWdk3APah0ABzDEKFKVkQGEmMAtkweFeksKUKajmq\nYjFU2IPQTGSV6NodzTuGt8xG2O0IQVdug+nUwYr2ktlugzsp6qbpiI4B8DLO3g2x1W38RShJR4sK\n7iJExctOdG5zN+ACqRYVTJKGJt/AIS8PaBuXSsibUBSFBbYynGPHjq1fv3706NGvvvrqH1uwletA\n0lE8ORklzYgL4cpqWr5QON8V47u3yJdlIKnqsO8sajkE+CAhDpfr8LcNOLYFSR+Cq4PId8BG0g1C\nuhbR+1O5556yM2dcJkwMWb7M6eGHf89x2YFKpUpPT2d+SFb5Y+vWrdXV1UuWLImMjLQt4cMW4GKI\n+hkuYomHrvDup2yBqR7i4uJgSoVFCecn4NjzvoTdwbZci4uLY66ttIpvFzUU+cNp69jb73GPZjTD\n0AJzKtS3wacCxtvQmQRYBd1ZaJYjiG/23/YL040BuzqKn3IbbzWz/Ji1x/ti1lyIACBiFOZ3JgAx\n3cRFtFVBt0Aw+fI8ZOX9O47aIfDQKEo4jjPEjXbJr1k4fhr7035UjITvSPjxUSteEtIociyGxi69\nAdiNqhKoE23W77w3j6dAAK0w/oxaKxnCflScBveWcHtZAIAwPtQK4yf6/IC9BUUzhj9hDhXauN0+\nY5ZMd/FsNjTj4O03dBSmxQmjUL8Curx5Wvfhxsh7hZKZ3iHcxuWe+Kl+3j/BIQjOA3shWe62XXXo\nuXPnNmzYYDQa169fHxnZ3+/wb4GkI6jV4r9dioaVIYry+tbki7OynnMBkLIXCXHY9CM83JC0HH9Z\nh5BBWDgdTo7Y9g0euAtx1htD9oYbhHQtotdKDW0LF9becYfocrn/3j2Ov/PA7OLYsWNSqfSrr74K\nDQ398MMPe1kh5qO2HC1zEWlV5qAnMIXSSPQourMP45e1NTIDPdzQ6NPncpXjOLawvbJfu45DQSp0\naoxYuSEoYjV8rGgGwFaoV8LPD05boV4C73C4ootLhM1aYXwJ59/FTUWKPI7jpvk4+VYVo6Gq2d3t\n6LQZC6Ln7EP9Awjl23+J6lsRMBTuVr3x1MJ+ZSzCcdzJXHnxCPdlhqHo2h+BJ5hitJxDEz/7C+2Y\nVhg/rD09/bwhLi6Oj2bxY6iC7gjULTBZfRZ0LSYa4WQVwrFiteOo1cJogBvTgAh7OIcmbziPhN+J\nnLNHxaaHLCPqleUnBlumOfi7NmiED4vvUwPTdlQ/iFBfOKNShTMyVCrhF4AxMZj+q85cTJ4H5Bin\nNbaae6IlfhsXO44+Fl5yEMHZjs+gF5xHugcC7C65OI5LTExsaWl58cUX/8A64s/8iPHeSJgLVRMU\nlYifiGOFePnz+u1PahW1YnEwRN5Y9QGykqGqxOZvEB0JZSVWzsdLG3Fo2wAudD0R0v9GYmx/0Et2\n2Ny5F269tfbZZ5t+z/HYQq1Wb968ec2aNaPT9z77/r/PnTvHDiqVSpbPa3vKXirIo5p+9t9ESgVt\na6XagQ3LJCV9IpmvpBmmpaXZDoZltrJ8yW5/LZeSIpnOS6ij82AzmR6lEqvTy0mfSlfu/3qqJ6Is\nas4i67TkctK/3XKxZNeHtC2ZtiVTplQulyuVyvVd+aHbqaqyK+G0hYzbqYo/t5I69lAddU+8ZXc4\n/cRP29rOq9XqT+mS1RV/pPJqaiMiqz8JO/mULmnIQERyuTy/tGhb23lhy810mV1dRo1kg+cou8jm\nY1ZT27GuJ1tEzfzPwo/DRi6VSt/jsn4+d+bfdJ6NQfjBWU4rO5hNjUXUXEhaNh47KJDTtmR6O4F2\nSail33mvfaJDTecldPZtqpPz42HJ6Wz8ffdgVpLhbTL2mMxuF61Um0NfqanH7O9Vq1bdfvvtR48e\nHVC3vyKkF0iSQUSdKbFE9Oyn9Nj6IqVSmbCZI6LU7+m2Z4mIEjeRZBe99B9SVtDf36Lv7KQI93yV\n6ygx9vonpN27qyIjMxctqlWrzb/zkBjefPPNtWvXrly5Mi4uLltVmqAjtcVOM7lcLqwu0Ur6baRo\nJX0/r1JAe4vowMBGZvyO9ImswoIV2FS4efNmNjCJRGKHL8ulpEihcju3/Rjp93UvUrBeUG6AiPKp\nI5WarOfNCiVtSz646z3aJZFUnBH+ZbPi+LfVxfzMy59oO/Nup6oWMv6nI5eIpFKpkFy/IeUhqrTl\nBiL6lC7xlCPEN6TUkOEY1WR3Z5pPGs9+uSeNH0MLGXsaTxY1f0O1O4mze1EiKqJmIRGy8UulUrlc\nzp4CEUno0juUazU8/lpsNcPqLLxE5xkl94EWNe2S0Fcf0C4JVfx6JQ/KpYWfL9v3n2fUavXV0IBZ\n3tMXsrdr0ukC2ttLg+eff37GjBl/FC3JSykxnSSnSdlIRCT5ibJVlLyHkvfQkZ/PyeXyB1+jNClJ\nM0maSYmbaO0mIqLEpAFc4noipOvfZRcZ+dPIkePWrBHFx1sHon87qFSqtWvXTps2LTs7OzIyMjk5\nGQBHSDUhwRkihx5PZFqjAg/OPMSzn1I6Jl6IxtJeaqFag+UVQWQ3qUhYA5AvuNnNFVMhQ4UU4Qut\n9uwRYjPaHoCHPxwBnIfuAnT3dN/j9Qk0PQKPafCEhoMsHa0cPH2yFi81+4pmwqsChlNo50/ZgIa1\nCERX+YBG8ZVA0TRBYo1KpdI6Wt43Fqz0Ft8+xHq30yroXkfpVnt39V9QRcDlvu5BHQCtMH4DlS9c\nVkKsV6kMKhUAODu3m3Rn0TDyYktpbiZunjkrYhSAVqm0auFMAGPg1XmfnI2XTJrFg0Z9NXnYmu5i\nBwDHUesHFzmamC+R3Xm1h4Npkni115X4RwvM76I+Gm4Pde/BNmb29PHvY2Jilhs8BhbVl6WjQI6w\nKMTFX0WoSVhzulMfXyFDcxH8R6VncjExMVeTukQqOCf0P2/JAG0hvovAzSL0GDdiGvGFCxc+9dRT\n7Ai/yfrAhjdwcG1IPgB3b7yxBBAEkEIDEBel+lrmo9Y4jhYPUlYi5VlMvx+SJJzJRNyC/mqvrieX\n3XVOSAkJ53JyKDIy/Jtvet65/tfD66+/Xl1dDaC6uvrLL78UzgsKC9JMSOlHGEiOqiJlSVCpsT9f\nMiUO66EZ272+Zx8w7QNdtHrhmfQWgEwms1IA8qkhCQkJqFegJA0RtyFsXp/XeQvaV+ENAZ1c6RO0\nAeYpsq/vrqoGgLsS2FQobCmMObEfhEP9OkDr5+//NCIYhfO7wjiI/J5B47vwD7cJuW1Agz+chF0x\ntMCchhZH2ZE/tzoZiooAOIlEeqXSc8YMU03N3ss5SwOiPATTlkdMjLNI9BmKZmHoRbRNUGmF4oIv\nUc1CXE2qov3lOctNAXByumBuc5IeGQoXz9hYM8fpCgvdo6M7YDmYd3xkxCQfb+/IVavQxfrCSFgL\nzO+h8R8YnAq11T20avkNmsfBfSjXge4a8f6CLQtKCzFxJuL6yPmDYBsXxjd2KLBChgppjfNNHYNn\nDaz+ELoCS/3YJFCIS/jRE4Pslg/nsWXLln379gGYMGHCwoULf7d5nGvDso+w70mIfJCyF0nLwWkR\n9yoUHwBA0odwNeVVcYGvPD7EwYiHH0HGUST9s7+5kjcI6VqE7VPhOENMzDGRKFqh6G8C6VVAoVA8\n9thjU6dO9ff3nzRpkt1t7hQWXDTjvn5kJe5D4XgEiwXZPOiKvduiEPuCMT6g/ykmNu85Mzj47YJ6\nO7f+XNnhZLeoO/jaCn3iMszfQccm8pldRgMAaLhje7ZMJYfLcXfJwsKe6frTN2ieCU8hkWxAw73w\nOwitrXlxX8V5qqy6Xdkwc+ZM4XjegvYZeG5Fk9X0fQCtfnAcB/c0tNynKO1QKPRKpXNAgJNIdJqr\nmiQack4cMm5QqHjyNOFZW6GeCLdSGK3MOwBF0G5C3UddRfDYw1IoFC7xc5kwgVWv4HWGPNey1DqF\nQrEzzH3imDH3cXBR5Jg5rlUm84mLM6hUFdCRePho0VBL3HzGRn5wOg+dBuZut1FQCGMDGm6Dz00C\nNQTTiA+YCQBUqnA4HQAWxCOs24Pmt3FRKBT9JbwKGRoUiIpP/6lzZ8IBjMQsgzkLLk/131RSQ1UF\nxXhYEypbVLGdseLi4phGPDAw8IMPPvg9NeIpOxE/F3CELA8JC3E0E5/uw1f/Qsp/kXAXXt+ia9bo\nnr1L+eHmmLFjASBhTb/SJa8nQrqeY0jTpmXMn/+zUqm9ug57KSesVquff/752bNnT3vp27/98/Xe\n+5GbKc3YryumUZ5tkWa+DLMQemo9Q6l6m8a9wSwnQzJZ1KzD/kabGRTJVLid/TigUtDbqf1Zocii\nQklvJ2h3bfmwpYEd+JC0HJmJqJlMVnEmIjpJ2kepmv+VvxVfnTj2ibbxTWot5ZrYQTaeHDJsp3Yi\n2klcuSD8ViM9dODvT9QlJzdKJN8nv1YjPWTsGv9J0p6kzm+IbaCLxX5sB8YOvkwtVgfZzXmv49J2\nqiqkbl+8dQWnTlwu4WP+66m+nPTNZBJqPXh8os7TSKV7JO+XvvJyXXJyVWKiRir9TG3nC7mdqtZT\nfX73iJ0QA6vbzaNFTT9sp02JVNH5bWH/D7gfhvMSUiRfTR1xi5r0rwwoqsSUDuzVYHIhpq2wvWh2\ndvayZcseeOKR/hTF/7WQmEryS5S8p/PXhFcocROpW0iyi4jolgdIpaK9+/JW3F22ew8lp/Srz+sp\nhnTdEtLevdXh4QclktKr7lAikSQmJgpfQqlUOnbs2CVLlkgkku+++05ynuR9xY+PmOhz60i5ffwf\nnbNlIx7sTWbTsZ5ae4/i2oFh84mMF9hcMLBppeIInUzkFXQ8+Emqzw5eJKOaLFShpE2JtEtCRBvI\npKYruo43qZWIUqmpmUxW58rIfA+1sP0RhBtYsFM4Mn/YNekzBeBLHZ08p1Mqd37wVl1yMiOhT+RS\nvnMhB1jxgZDGhARZTnorVcJO4vKpo4xM++wxweM6VWrxWcY9/JxIAmLbTxqeQuyy3R6q20B1whvS\nJpcfkHxQIfmkKjGxUSLhCfU1arS9b1ZghN2fh8WD38bl1JvP0bZkOnu0/+faR4eajiRQnZy6HtYA\naMnwef8FeOyGy9u+OpD5dX/aXygremDfO/Hx8dnZ2X23/jWQmErJ6SQvISKS7KC9RyhxEyVuIiJS\nq2n2HCKixCRKTGpceY+qP2/r9URI163LbvHig4DvoUMzf2G3r7/++tGjR11cXFxcXJ588smlS5ey\n4x/nY3owYoJ6O5cjJBv7FTfi0yd7b8ZxXEHtKefIulEdd/XpauC6MDwsrUM/Myxi4GUos1MQNANh\nve3sx1xDvTjxWiqVObu3zA0biRUJAFSgI7A8Joji5MKYDb0JBqFfjnlXPosatkrTWhYR8gCrpQ0A\nOA4DgDlwRXfpxCdcZZzspPaH/e4hIUNiYwvibwcwE16n0NYCC5+KC4BPhLKKTkHgWLP6kzC4VQED\n70Xk42Q88lrU7xbnz4u+aVFdy8mTJ2fNuhJBYX2eQrsGZt4HWAHDeeiFw2PdtsJpveBToyvWtQYB\nJo5rSU/XcupTMN4ydFjY/f3d2a3Ph8VcuOznbs2yZLiosHXiDRisBNGUpH6O5wpY+XCXHmsYsIAW\nc8117d9xcBBG9cehrYXhh/bz2a/vzMzMfPPNN3+HOuKpP+JkMf77d3AtSN2JuDnYm4G5UxA3HX/7\nO9zdERsDsRipWxEY2Dhvbk7vd+mGy+5ahHCZIJVenjDhp6t21qnV6nXr1i1ZsmTlypWbN29WqVTM\nILiS8FFHacV9dWKh5P7ZRl9Tbj/l3U2kVNFRstGIWw2eNylKVdmke5QsA/fYNCvtGkZ2IZQddwPT\nFu+SfEtmGXVq7l8kO+7LRUYts5nY52Jr861kUpKFBG49hjcFdiRH5o/VFSheS2MAACAASURBVI0S\nSblky87tqbquDBhh6lJPDjehs44HM5L2k8bqTz159o6R/hjp2UWlUum5UuXzXIXVIHnvaDOZ3qf6\n/WS9EZvVCD8kbQ4ZNtize/iWHJmfpxaOzG1yeaNEwgxBYz9sDtuHxd+uvk2oXRJ67++/NIGpQ03H\nn6VmpdXV+z7RoibdY8Ivs1wu7935XE6nm6hf/oBW0n9NuUT0/PPPL1++fO/eAXogBo43PiV5HhFR\nYjIRkbyAVr9MRCSV0kcfkySVEpNIraa58zrbsw9rt6vryUK6Pglp4cKDr7xSMNAetmzZkpycPGHW\n84vvfKKnN0QqlWZfLE082XdvHxjs5xtZQUYlSntRBFu0Uq2Vp45PquVnmW5fWYuaDMn96dkadXI+\nYjQgsHSlTleMNI3SPuInL+a4kwmYiUGpVO7mNP84diKhqFB4XE0Wnro4MvPz+4ekLeuaqZu2b69K\nTDyQ/JZK3fCmPW/nF5fOJdTn2/VobaCmF+0RFRG9RbU9cRj7n+9QrVZLJJKnaor5EMWb1Mq4s4xM\nLJrFQyqVlnJNczqqbDqm/aThXYX7qCOHDESkJMtWm5HnU8d+0vBsJPyTTqlkzMT1vFeyEK+88sqR\nI0eys7MHHBnalsxcr78I5yVU3G2cbBXV94mG5KNHdlu5cHtBAe3tZ6q4kppkXQndiYmJy5cv/+ij\nj/pz4lUj7UeS55E8j9J+JCK6YyW9/Q4RUXIKpaVRwuOkVtOWLXqptNO7y7/sVv3cIKRrEfxTkUjy\n7rnncO+NeWRkZKxYsWLNmjWzZ8/esmULESVv6+OUR3ZXq2q53l/jNCPJ+5GGe4xK+1mIQU+tuWTt\nE2ffzs2bN7/99tvWJ1jUpO9fSNQKxWlWM8WAoFarucuq3L/fSwXdJgtGMDzH8NvMK5XKZ1s6iOhb\nMisEM6xVnGk7teeQoYxMH5JWp1Sy4JCu6xHcY24+Zs/EVJJldluT3Xd4A5mes0mDZVhEGuGleZwk\nrYSaDmpq+XgeI6Ht1M44kg2Sb2/Lkc9Ty9GW5ud++M62c8Z226ldSGN2rck3qc6WjYTQKZVViYl1\nycm67rF6ds+ZScFGzqsMeuqqR1Qo6dO3f6mpVHGUcjcLD/RUsoSvWNH5KPXJAzL6C2hvP+U/Smo6\nRqX8r9u3b7/11luTk69qVdc/ME5K3kJEpFbT6vtJLidJKimV9MEH9PSzRETJydbaGSsHyQ1CuhbB\nnopa3bFkyR61ukfREXV55NasWbNmzZr77rtP+AKs3URq66ffDXKBs47Np7Zt/s/YLyFDK+n/j3L6\nbkdERDn0VecA5HKhwIEHe1c7v5oWNekT+9lzNxx9koWdrx6ZUtq5mbpK2gjv7XOq0peq61hAmz8o\nZG5+/rVrHLxJrR9Lv6t+6aVGifXy/A6dWWovrv8iGXmbLC0tjb9j7CDvEhRiA5mOktnKXcYmxCPn\nsqfXlNgNxTMnm5VJxNs6/PgZi7xIRqHSgSGVmk6QzkoiYTtCNVlWUUcvbCRE4+efN0okl7Zv5124\nPekIetKh9YGdmynzl02FdXI6b8fY4h+WVcWKK9AnDpCT9vWzpYxKrLRFGRkZt99++1/+8perESv2\nA2k/0ksbSHmZqFPLQEeOdOrrJk7WqdVmiaRVqbRemghLjt0gpGsR7Kk888zR999X2G2wb9++mTNX\nrl27dsmSJRkZGbYNsgtp884+rrI5t9uvdo3oxP6V+/mq32yUR98cOvoD81H0bpl1RgIMA1tCduK8\n5Jey0S6J1QylVqtfeeUV3p2Y2EJW9ZuE90pJFsYEtpaBRird98IL/96/3/aayQZSmu3c861kUnQR\nAD8YpVKZXap6kusU41ldiB8As8/4t53d8xfJaJfDiGidpfUlm8gQCYwkITnxnQg10MfIuMpkJ+Qp\nHKGaLE8yyWJf4Ecul8s1UmlVYmLT9n75YO2WMewNmVJK+2V+rTo5nbyyeGIjT0tL2717t0qlsmvd\nErEl19r+X0RPrfySrk+k0hnbg0wj/sQTT/wWtJT2Iz39OhGRXE5paZSYRK+9zi6qX7y4jogSE3u8\nqFQqTUlJkXbh6qX51waudUJSq9V33313f5YAUqlUre6YOzddeFCpVD788MNLlixJTk5+4olPpVI7\nswYPprzsBZ8XkMpOIbTOq7M1XZqRlP1Yvx6kol5E3gxsEs+uPnS8cHffPfLQP82pVbYmVB8oTvul\nbPTRS3xVNKtoMx8zV5spUWCASmzu1QYy7SWTMM6kUypr335bI5UmtthhHaW5UzkiNZHQSFJ3UQvZ\n2FsbyLT76FE2MCvH4ItkZPO4ilM/kJstnHp4erOrNXhWT+8a7Dz17dTOkfkY6a2Mp240o1arOPXq\n0hK76xhhS6vR2oK3km1nJUZLun7MVvYtkl5QoaRtv8ypVSevPbGZH7nVjN9jbGmAIdIaylPRsf60\nrKVWmU11YAaVSvXYY48tXbqUacSVSmVycnJP8qIBYd27xN5XZhslPE7vf0BElJDQmJiolkhaeynF\necNC+v2QnJzce7QzMTFRIpEQkVQqnTs3XalsJqLNmzfPnj175cqV69atY0W1iSg5ubekoexCev//\n+hhMn1oGtVr9cEFRn2uoVtLvpR41F3y2kFKpHHDKkUlKxqP8YNjk0vea7ryEKo4O4Cq2+CKZWtS8\nl78XOdDm0lqpjqgHFaKaLHO1V2Z8Jh4jIomWlMYr9MNDOIkLf36xuyXBT+sKMvPkxLxwLzbWs4G9\n2Fj/XUU5PxELmUB4li0rSIwkt2eiERFH5jdIYxtMEnbC7B4iSjmj2M1prB4Wz6Y9sRFP/P1Zf3Bp\nabX9jogMYLndoqb1zw40pMSbcWlpaVQnp7zeLC37RGuSkmkAc3H/X6W9VNCL8DU7O/vhhx8eM2bM\nunXr+n/1PpGYdCWApFbTzFk6IpJKOz76SPPBBy22kSQeNwjpdwKLN1gRkvCNZQ22b9/+6KOPjhix\ncMiQF1asWLF27dp9+6xdxtnZbRKJna0BeCTYyAKssL2QlD2YRzzYkp/ZB73QgNXXXRjhtzqr//FY\nIvtrRn7biB7PalbS2b4+fA9gI899fnVpbnY/DTKlUvlsXYdcLk+2p0KUaGlzK0l11CaX17zxBtMx\nC+0q4VlWVpHSTBIjEZGMzN9aafm6pnUr00Qulz9Xefn1f//7+/P5/8/el8c3VaX9f7s33egtS6EU\nLCkgiKwpgsAgSuqKKGpxxeVVCuMIgzPa8ur4wxnxncR5X9FBkYbRUVDRZgZwQRkbKahsklDZayG3\n0Ba639sl3ZK25/fHSW9vkpvkpi0geL9/8KF3OffkLud7nud8n+dxM33EdpWb30x8pLnrolapfBxc\nJ/lNs8RyorhxMdPo7N0acQFUDCJmI8HX1wMXjYPjZJpKRAgylfNk6zmZdpLYaHbZIcNGl9CIB7KY\nJH96JzllFLhf6MAf/vCHqf/zWh9qxCknUSNp7dqGzMxaQgi1kB59tNrbWQoh9T2sVmuWCPSRU32L\nmJCogZyTkyOYybm5uTqdTqfTvfLKKw899NCqVaskE4E8/7yE3FYMv/46OVJvt2my5HjRSNryCUtE\nyRe8GTFtpLGIBFIXpe3/+fg43UKpuvHd8gAu0QWh53V/eizQqTHXQZ5vIE8dL3IjYK6D6BoIIeSv\nu8xi5YKuoXvlievsvsmeRgndIilOE1aAhBV+eisowfw3cXjGedB2PE0TcfveTDRhyyE7yZEKhxNW\ny8TawhyHk27FPbyj3qk/pBMLuQzhEzU5OTXvvSf/eLGq0Cu8c5JVZraqg6tlhr51W4QBOu5KyQGZ\nMzwTOd1I2qxdGSu8+eWy2sgf//jH++67r6804jq9cwGJEPLMM7U5OY06XT3HdWRm1r7+urSRpBDS\nRQIdO3Q6XU7X8CTc+qwsaRUZy7LvvffeLbfc4jby+vbXrf2EWEt99cRa5z8SdqOU1NvNI2+1Wo1N\nBTk5Of4/70DNow4rsa/1e5TVas0Rq9QsOplDAGXN3Nxcl6Qveblu8m6ZeIYj5mZnm8LwSomnduPG\nws25wiBudThZSgA1Qz3Xnwgh1g5yX7uE7oDjuJxjJ29kyyS1ZDc1tud3dBCPNH0W0vE34viXh6RN\nsG+y2lyMPLflw5yu90EntXBpIh1/dGUjQgjX6bS3hG4v2nf07e/3ewtA6Q0a8vJkRiwJnRGcwF4P\nOpgvDlGicWkB9LyFIxa57CI8rEZ+nbi8pF+cJia/x+Tm5h4r/vnD6r1+e76zy0zfuHHj7bff/txz\nz8nviTdkZRM6W9Dp6tesqd+ypYmuIWm10rNqhZAuHqxW6+LFi93ox48PihBCyAsvvJCZmdm19tia\nmytRIU3A8/7Moxf2+e+qN3Ed/SA3btyo1+utVqtMcV3Aq0eB6Lxplwr27/QbACusT0iYcScPkS97\nEj9LkSWKVszNzT1kLV5V2cTn5jaZzYQQQY+XJTUpXN4qnQXD2kauP9e1NsNxQt4HjuOy6qWb4jrI\nqnp3znCe2EE09dJp4v5G2nMdxFNrLrwDgiuPEJLXSswe70ZeK7mvTmKZOqvN2fOcnJz3qht31tS7\nCPr7FE1ms0z1nRjiSCZP1Lyetd2wtuf0KXuGJO7PsYL75B9fSLZ7a4fOjYQZksxPVfzh5+fn3377\n7b0X4912m43jOqxWB7WQqL8uL6/KbJYYxxRCupTwkTXHE1u2bLnrrruefNLo+zC/wbB/2u//Wm5D\npDCOCO+31Wr9pqzgP+cPyXlZi8iOwIqROwIOnm+0vCMp8xVWm/286L0L17e2kRzRlbPqyfktW75Y\ntYrrWjfSNZC8VkIVEG5YcJ7kSZmOmYU810GWnSx163luM8lrJVaHhPeMspSnEcNxXNaZmneKyzcW\nn3ffR8jWjo6HGyQkBtTnJvYriq8iwOogWfUkxyZyRXbZH2/v3b+FbyCE5NjcexuwJlsGhBlADyAs\n51DTmb7nHMeR7Zt61Sdz4Jo9u47nvGvEXdFIKkpI9wST9lzy3H2kRE4WlWc9XtFDhw5Nnz79ueee\n6/Hz4rgOKvWm/y5bVvvee42EkKysY54HK4R0yRAQGwl4++23s7KyvEVcW0tJnj++0UmHNok61kHM\nHU57gvOeY/9TcoS4Bml6g/ywCUIIsW8MyGvhxJ4s0iVMeO+994R0LLK+olJrb4MiCdFVE66dEEKs\nDvKPUo4KwITRIcdGHpOSoeQ1ktx6FwOLnvKn7bs2Fp0nrmtORLQ0RTyIgRIV7YDb6C9w4cLDxZ4f\nfJZrB7qv1UlyHO6uPLcuCRoNroOsPlNFnahimyOrjZjbpFeeBMepxL6eonT58tbA6y/Qnuj1+m3b\ntrnnyc7L7VVZdNleu250WOmETI7vhOO4H2re823nCaAfrG+4iWsEUI34fffd17M84pSTcnObzOY2\njuuYOfMUIUSnK+I4d3NbIaRLA7PZPHfuXKp6WLx4caCnW63WhQsXembZ0b/vJzvDNivZ6XOFyWw2\n32EtlbPaLJbu+OAtEohElRDSk5x1hZtIpVlYnPAtr5CA4c8BX9EDXLtzWM+qJ5U6nVtu0Edyd99j\nkXgw9JS3D/28sei82JclMISYgYjI+0dcicctKEr8f3ELTsV51+I23WJuIzkcsUo5aWdWSywlupDi\nmZpD1mL69JdXSqQU+X/1ZI2/tMC+My8EipLMTDmHcV3JhzxtNcqp3X+/1hOljBN1VnJ0fcBniT4B\nq5dsv4KepaDJj8tEgBxCIh7eETE4jvvtb3/7yCOP7PrxsNeDvMBsbtPp6qmRtHp1YWZmAce1eZbU\nUQjpMkZ+fn5WVtaKFSu6J6T+FpAk/XWCUJt+hzJL8ElqST2/nFpiLSUHZbVIIUPOIIBOsZt+WOVJ\nh1xX0jD/rfQyFrILufVEz5NvT1rdFjM4B9GVko0nzm88cV58fzLzDm47VerM+yCyUXTVLvQgWCTm\nNpLrEpMqUpC7GlJirnLbJXCJ1Wp9+/v93Yd5CHHNzeSFCpIrNb959Odyq9W67GTppp+63wFzm7tP\nUiBpOeD6KG2M70zh9A33G+rkohH/8PVedagHRlLrMs/+bNy4kfNMOkxIBTkqMwu4j3hBMdbKSBU2\nadWOG2+8MVCNuNnctmBBFY2KXbjwx5ycYk+vnUJIlz04jlu2bFlWVhbLsgH568xdtcXcPM5y0gU1\nkrbvyRnJXW7xDeXkSIALSP4lvII70XkVn9+8n3D9E+be++sE3FZMql5/3W1A1JUSzkEIIVnFxGw2\nv/3222azeeO2L1w8dc3OVSiu3Z0bBIvEU8hAfXGSq1P0FM9dYn7KqifCGCe4HJ0XFQy+rk5au6rZ\n5uXlWR3k2Tp3dnTrYUBs1P2LhKyjPYWD4yr0Lql4BfO9BwtXeXl5P296u1dvyJ7AMzGK1lAFo98q\nSqEkPraRVJTLM332kRI5h/0/GZ9/zjFCCPnjH/84f/78gDTia9bUL11aRQjJyjqWk1O8aVNJbm6Z\n+IAriZBCXn755UtdkukSQKVS3XbbbSNHjty1a5futbe1N1zrrd4dz/MtdkfpT9+zLAtg3LhxarVa\npVK5Hd9MMCbYz0V/RnUkQhNd67lRMAyjVqt5nmdZtrW11c6cG4zxcn9MhwlB/RAsUb+L5/kvv/yy\ntbW1tbWVYZhx48Z197x8L4bM9NZkUlKSSqXied5isUhUBvvxW9y4QG73/OH6SBzcf3Tc3Fnd3W6H\nxQaYTTzPj+8f/W8ueOWCdJVK9XX/Udry4/GqCJVKBSApDLkNSI/By9V42bVSoioIe+wwO/CwCozr\nc1GH4s0mlHRgSbR7T1qBww4cc+DRKJft48JgbIEmHNkNWBkDJkpF70/jTwd2Rw6cHucsq/hyNVYO\ngCoYu06fPX/y+PD42PLyco1Go1Kp1Go1b8e7ZdANcb9ocTuYYGcnhRYCglqtps90z549DMPQmxMQ\nglWqtuPHozQak8kEgOf51tZW2nP6zgTan+BhI4nJeCQoVqVS9aA/qDuFxKkBnVH084GWlvM/Hizj\neX7cuHH0g6J3g36w9Oa0traqVKpwxFTimJzafTxaqmCT/GbF6ADU/p7avgpcl4ibb775wQcfLCws\nfOGFF06dOjV8+HCj0WgymcrLy8eNGyd54vTpEcePn1epQmbN6s+yzYWFNo5z3HjjAOEAlmVlFTm8\nLHCpGfEXgRUrVggacQpOlKt/1Q9NfluQXNV0wxFSLrPYxGeF/xfArMexjXR0TwDp0oL/NQbZk1Cz\nZ/W21bKWHOQj9/nVnKM7Y0VmgUt1j6xiQgixtjnNILOoALa1jawol1bcsa3k1kLpyz12mmzxcmOu\nO+2e/tXZh3qS1ypl31Q4+7P65yrd598Iloq7xeYgWcUkp5xYPdaMuo25CmL2aD9QSDwsf6BmUOH/\n/q+PFc2e4M0s0oNq5RTfrZB5oKAhOnsmnzj8e8ME1YNM0VAFaTxOfIUwOrsh4/Pf5mrBms3m/Pz8\nMWPGPPHEE3J6kpV1jOPa6L+33LJHXH30SrKQQi81If4isGbNGgDr169fuHDhs88+GxoampmZKdhA\nqXb/LTTKKARfh9Zk9JPTn6uuHhwbpqY2mVAA2zv61dcH1/IsNbC0Wi3DMP5LGkf2l9MTdBWE5nne\naDTSxhEbL/NcmWBaa54wFf5zWiIAzZ0ZfB3Ug7svsTIZ+jJwYdAndvcHXVWrv69Sr5ku0eZ6FnNi\nwbeDcX3HLTbMiMb+eizwuKmmOtwcCt4OJtJ91wPheLYCu65y3z7+3ElTcPzNE0eWFNdkj0uFqPI3\n3wGmqza6rgwrk8GEIvsM9Cmuvz0YHIGBx8I4aAK3Jdwg3ByTyaTRaHy8OdQY0mq1PM9nZGRUvvrq\n1X1bBjs6Dh4PS+5EPiTcx06LxcLzPPUo0Pdcq9Wi0wLi/yOk/bFYLI5hQazNv2FRBZusDstAZYvz\nJtAOZGRkADh58mRBQcGCBQsiIyM3b97s4/SVK0dlZ59IS4vnece6dRNfeunoRx9JvfeXOa58l53R\naNy4cWNQUJCPl+/uu+9ev359WVnZ888/b7PZCgoK6urqJk6cSPey9Rib4Ocq54h/m70DnU2w+zX/\nAdSjZBQzjVLRiRMn9uzZI2nOsyzL83xR0b4oVf3wq+YkJSUF4GAp3+PDZecJ6r1pbW0tLy+v+SGv\n/03z5Z/rCcq11J2YlJQUc+Rwx613J8Wq1AMZOna7XDoYb53BrQMw1pUnkpKS/vJjxX397Z+Xtc1O\ncnHAmWqQGo07B8BQgVlxLme9eR4rkxEE8O1IEo17fDs2VuF/UqArQ7oH4W6sQHQjbhvU3fPy8nKG\nYaaph30RnHCMRL55dQLDMDzPm0ymcePGjYuAscFJMIYKpMdDHQkApjqJxitsYB14pE9ZXq1WU1ft\niRMnkpKS0OWIO3HixIkTJ+gB9KWiQ2Tzvn3Rs2b5bjMANPAo+gmTul+wpKQk6o7med7fBAuoLnB7\nOVmWtVgs9FeoVCrKtfR3OdF5AiCSjmtPJCUltUVXBfGM0WgUKFMSlJD8frPHO3B1iNe9lPsr7aED\nOmqpO1H8OQ8ZMuSBBx7QaDS3Ldqy++s1I0aMGDLEw7ELqFQhs2YlfPFFRXFx8513Dj59umLWLOfP\nV1x2lxn8xnh6JiKyWq233HIL1Yj7DUIihKySVwNpCzku5zBPUYNVBOqmoHlZnLsDj4rtybqxgP15\nP6x+rgeyY0GI5bYCX7txo4PjsopJHk/ypFJqLD9IdB4FATi7c2PWCfK64Z8uXr4ubZQgjqDIKSfm\nLv8e9QR2n1LsPNLTsZbHky0lDRuPnH97z8+ewSt3/kQOucbV0mMe/amcEGJuJDkiN621xeVPusWt\nJ30LjuNWrFhBywt5e14OjqtaG4BQ0z/25/kIRfKfm3xnJulymwv5h/xc0b5Gfu9qiVUQNXjTiFN8\nT4p9pP0WIFEYpUtV0Z0Zy98wkptHOI6bP3/+0qVLvYUumc38ggUHCCFWa11OjvMnXEkuuwDXT69Q\nJCQkGAwGvV5vMBjoFrVavWPHjpkzZ/7+97//ZtPfeZ733YJMX0swguQcFoNB9SgVb6HTw6NHjx49\nepT6zcRORZBGedcXIdKf0ecD07QzRwyl/xXumDdQB4vJZDKZTGq1Wq1WazQatwld3Lx5nMGQHg99\nCbQehoLxLB4dAQBss8t2QwkyhwPAypGw3/Q4ukxGvRVLunxrmYNhqHD+n28H3w5N12Q3NRJsa1cn\nbUiLcTr3MgbAWAOhtXzzT//cd2TBsNhF44ecZUYLCgIKUw0WDcInZS4do8doo8jL3x3OrUHmYNGu\nSPDt3X/y7cipcHfi9R7UjLNYLAaDgWGYNWvWzJkzJz4+3mg0Sh7PffAB8/DDfdmDQguSvc7Z6QtM\nb6/bLp7neZ4/VdVJrQrhPfdvAZA2+b1rAR/RZfTQh8UwDP3E3FCLlhj48h9SpHaNowaDQWhHq9XS\nt53+Ge1vecR8AgzDfPbZZ++8847BYNBqtZ999pnbMRpN/E03DXjmmUNqdT+eD+AnXza41Ix4MeA/\nC04XJLM5cBz31FNPUY241xNlBCIQQj6TF9ZACDlMNlu95EiWMDJ6Fhhb14tw+je7DSxPjbgQH+O3\nxK0AOkPPkpoXChuzRDfP2kRyznb/qTtNODshhHB28tTXReIJr1hBzrmGiwmmidhGycvL05WSnQcL\naM/FZ+WcJVaRwIWzO7skXN0N1/1I2GreTWWQW91tgbkZcL0Evds0PM7bMZ4acQfHVcoukiQXL8ta\nqCddWUsEY8hqtdaf3kkqA09tEEguR29R55xHYm+/cUjUT3BPwTHf2o2dpX6C67l6svFL941Lly59\n/PHH33nnHbftOt1Bs7kiN7eIln+7kiykXykheXM3eUsvRAhhWXbNmjVPPfWU5Ndu7pCltPmOFPs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wEsFgvLspeTv04hpB5DyEiUlpYWUNYWil27dm3evHn48OEvvvjiNzg1Ev1lc9K3Y3GX5y5h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\nfjkFly8Ul52Ci43eO53cclEXFxd/8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = linspace(-2, 2, 50);\n", "y = linspace(-2, 2, 50);\n", "[xx,yy] = meshgrid(x, y);\n", "meshc(xx, yy, 4 - (xx.^2 + yy.^2))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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8fvdu/P73x1qiMWxWdsUeFoar1quSsX5JGg1jviGBOvItqv/oH/nf933JL/9y\nGcfxdDoNw9BKD5tu53EtwaV6C5/3vve9H/7wh9c+QVdO1K0uA04kk3BJ0gIEySyiog3S7EBr3bWJ\nyPfp4x/3Ly+T6XRPH3FpdA4uKY8cPT1hKN8YzsHpHy1bnnPJJPnbPS5JWhitIAlRAiSQGth6aXvs\nqPbm85ho1eomiqJhvEN9mpnyv+1QMNTSI6d3y3MrmeTEdi9fNeUzWkESogSiDvcCm5nuurRxlOb8\n3GMzXkMfce302fia5/rUI3LdZn5PJjorGeZzN2p9mIsLKafMXTihmsIZrSBJQFrORnhmeI0keeKo\nZlnKsizLsiAIjJpcW7ZF2MVaMknvzO8o0tw8zYn0DMNzWoVzceFSIFQgECSDSDvQCTy+NV/auEOB\nasHHV4o8z+M43hxvoYso6pXw9zz6wR+sLi5y3+9eMLQL31+JtEYcCjTx2HtR76k1nFBNyYxTkIQ8\ntcM3M3WOvZc2HvpQ3zF39RHXRWftqLfw+b7vC//u341MpGe0h9d8f7WNSnjLNOP7dHUlfZ3yVVMy\n4xQkIQkkaQjMIbW5tPG2vmaqVn3ETXjE2W3R5vXWZn7XI3KG0jMm3HFh6Ezr1dlM+nbPt1jJK5TM\nOAVJAgLb6AlpZ1en5QQKHvoQx+sNtlmW1vqI919VczNTIsqy/S18DNX6mIjakTvJpDCkOBb3GK/h\nRHcJmUCQTCFw9xc4EK99UMvz6M6dVexubf9XfcR1ecS3ilq9YIj7w+59ETaCa0/PGDro3LnjhibJ\nvyQ5oZoyGaEgyXlYpd2QBA7EO0i2PW91kL+42OKC8zzNHvGqIlUIRRsRuTYEAZWl/lqfIDBi5fI8\nOj93wCTmxHYvXzVlMsJednJq/dbaEFhHyI+lTodLW5LQ1VXTJ8zn8yRJiqJIkmSz30Eb8jx/9dX4\nox9NsiyLoiiO4ziOu5n62KittwAgCGix0PmC9VeuKgfKA3i7l0wY0vW17UU4yAgFCTQg7W3cobs2\nPQ4uNcNCQkRxHLeRJZ6zznie96lPJe9/f6wlKRXHmluvGmU+p6srcSV0azix3ctXTYGMMGQnhM1G\nbWCTbkG19sEl9ojzbUnF9BTNLXyqSpsz5eJC81yf83ODESHO1Qn3qcqPiTkRWpTGt969e9f2GvRQ\nlqXv+3lOt2/TyYnt1RDdukV5Li5KVlWCZvQRUVl2bItwckIPHtCjR61+1ycnJ2dnZ57nXV5evvba\na0T00ksvfe5zn3v48OHZ2dkLL7xwdnZ2+/btzS/x9SKXlQAAIABJREFU8st6foOeR48eHfad8vO8\n629PTijL6OxMw9o2uXXr4NUOD9ckCaxkqPPMM0P8GJsfFbcYW8hOTgKJ5HVG8H1xoZg+Szo0PcMe\n8SiKfud3fieO4yRJ5vN5wztZb2synusj7ee/C1diYsLTXU78GEUxNkEShUBXm6FkeGd8v9eeMp8f\nnJ7xPO8HfuAHWn6y3t+g3mQSK5w5nNju5SdpZjOE7g8AgmQQOXc1yfRJ0njeqhWbIbhCViPcelUL\nXH1pDie2e89zQDUhSO0ZlSBJS3IKfBCnU9sr2IB74XSG2/MY+lH3vMBtoibjOYH2b187UbSnBkAC\n8n+McpAuSFVVVa3j7qISSCSyM4JA+r9dTdT6KLRXN2us9fF9s4eeMHRgu+dxIZJx6AhiHdGClGVZ\nmqZZlnUrb7ROtyIbo0jLIenCXK2Pid1kPqcs06CgUUT37ulY0G7kb/dcOAXGgWhB4l7O8/m8EBj8\nasFYrJjG0bLpa0zP1DEUb+HWq/JxYruXr5qgJaIFSRG0iMS98spEVAKJSKLjU2bdhpZeOJ5nPM+v\nEV3JJKOeDkb+di9fNZ1wiEjADUHaBTdgZohyUQkkmQjfWXoShqtKW+0vayIHwI9rz8s/F3IZLW+S\nv92TeNVE35aWuCFIu0J2QRCEj3nuuecGXtVeBFrapNXqKrgXTn9M7J7mmplyEqinnHBGyijCt3ty\nRDXBXkQLku/7aZqmadomZCcQgUUSAmt1GY1HSEPJJEMkSV87BvsAjT5pTmz38lUT7EW0IEWP6db5\nXwLS3iFuKvthqMl4Gjk/Nxhy6Z8HGkAw5G/3wlUT1UhtEC1IROR5npah1EAhNpatsaY9CDRXyxq1\nS7Abs+dupSvmuQvh2z1zeiq3WyB8DW2QLkhOI/BeJzCKqNC76RutltVO/+0+CIy7Op24JIktQfU8\nZ55Gi0CQzCLtOsJDtY8EvbU+ppuS9d/uTSfPJG/3Cuz7TgNBMgu6Bx2EXnes3mSS6SKn/pckzzO+\nHQucYLKG9vShRpB82AsEySwCXW2S2w+HoeZeONqTSUbpnwLpMI/jILS3P9cOb/oyVdOhwm1bQJDM\nItDVdmzvCo3JJNPljVpiYjzb2ygyt3uF2LZMKI/dCwTJLAK7BwlnOtX/ptXVelX7BW6T/jE301NK\no0jodq+QHBlDDL8ZCNIxIjlqxxca7bhSLaslBWK0wZ3kmJhCrCYJjOGLAoJkFoHdg+j4onakr/Xq\nxYXZJIqW7d50gzuxMTGF2PIGRO2agSAdKZJDB4Zq2vle2POVeW2mm5n23+6Naob8S5LYKlTJwQkJ\nQJDMInYgnolUjS4MRe2IKI41tBswfT/g7f6rX32254sYvSUIvyRJrkYSuzAJQJCOlAGGjfbB3Jv2\nzh36tV/r9Qqm93oims/pN3/zO/u/iLlmP/IvScBFIEhmkTkQj5GcXzXXidLz6LnnNDQzlZ9JIsMW\ncPmXJJlIvr1ZB4JkHJnJVZLdfthc1I6I3v1uDTl/08aQD37wz/pv90Yt4MIvSWKdO2LzWxKAIJlF\nrNuHDG/6/TE6S7D/6d50uc/b3vbXpGO7v3PH4D1G8iVJrJ9Nfvsli0CQzDJAD+Y+SH5jGO0treV0\nb7TchzQFBjlAZOgXLTYsxoi1kkp+39kFgnTUCI/aGc3T9D/dmy730bXd62pUsRXJLcAlZ0k18sor\nr+SPKcW+n9sBQTLOcRqs+2P69K3lkmR6O9alyrOZqYdQcopebNRO78Kee+658DE+T3t0FgiScSRv\n+iQ7emB6s+t/SWJVMxpa1FLKZrQLn9judmKrUOFr2AUE6dgRbruQ7642PdtbV6bKXMZL8iVJ7MLA\nViBIQ3DMqZo+DJAz1+ITM1ru4/t6DIccy8EGDSQDQRoCyVE7z5NrRiIyPl5PyyXJtAVc1+XGXGxN\n7CVJ7MIkH1ItAkEaCJnvCsaowbonA7Q40mJM0FXuk6ZpkiRV7XGpqoqo1HJJMtf0SGxSRPLCxL7p\nLAJBGgjhqRqZb1pmmIkP/V9EiwV8Pp/P5/M0TX/xF3/x7t27cRxnWUb6LkmGbIFiiz3FLkzmqqwD\nQRqII0/V9GGAiQ9afjv9y33KskzT9PLykoh+4Rd+4eTkhIjYy6srk0TGeuqI3WFlLkzs8dQuvVrc\ng/YIT9UQUVXJVSa2HsSxqdfXdX/lmrMgOOxfZVnG9Yy+70dR5D3+NQRBQERpmlZVFYbhxUWQpjSf\n911kGFKSUBDI/XUfCY6XDBkBgjQcp6dyN32+IvTf7Ayhkh/m3sOc8O/5E4giiuNWglQURf74nhJF\nURRFuz5zPp8TUZ7n9+7FX/nKP5/P39lriavXpMtLzTPd+eIVhjpfUwtchXroKcE0ZSnxZ2UdhOyG\nA1G7PpjuiaArJtaQ8aqqij0LcRxXVRU/pk11fRiGSZL8w3/4Zz/907+W9f5BeB7duaNZkFCFehBG\newe7C25IwyF/0xd7gWNMn8HZONDzkuT764KU53lRFETkeV49IteBn/qpH/n61ykIyjiOT09P5z3W\n6nmr+5xeWQItOT21vQKRQJCGRuymH4aio3ZEFIYUxwYFSdclaT6nOP5/J5P/i/8zDMNYX/orCKgs\n/SRJyrJMkqSPyPk+nZ9TltHueOFhyHywZYKf1VYgSIMiOVWj0cdlDg6I6dpAt75+50tSVVWq3fIb\nb/yDi4vYRMYrCFaq7Ps+h/7SNCWi+XzeQZY4s6LFK0FkPM/XGTZqilrYYmHwMXYXCNKgeJ7oTX8y\nkXuBYzggZm6RHVS5HpELw1DZE8xFw7hTEd8UPc9jWcrzfLFYXFxcHNrvOQioLPWk/cVesjmNJEqQ\njmQ0xqFAkIZG8qYv+QKnMG0Bb3NJKssyz3Pup7ArIleXDb2E4XqRLAfuoihK0/Tm5uZQWVJ2m56a\nJLZPj8CydFHqKAcI0tBI3vTFlrXXMW0B33VJqkfk1gqGtsLlPoYyXrt+TcojfnV1NZvNwtZfng0O\nvi/0qDQ+ELLbCgRpaIRv+gKj7ZvM52btYfVLkioYWovItUFLbVMHeFZbnudJkrB2tvlXSUJJQvN5\nL02CnrUEIbutfOvdu3dtr0EPZVm6Mi3xwQNxZXqK27fp8pJmM9vr2MdkQg8edBTO+qOSJMmjR4/W\nnpyqKv/Df/h/vvzlX7t//77neR/5yEfOzs6CIDjUNeB5lOd0+zbdutVlnQ08erT/3OD7/tnZ2a1b\nty4vL1977bWgxTN3dkZ37/b97Xf+vRjl1i1ZC3v0SNtiHNr69gJBsoDap2TyzDMOXJJOTujqquPW\nWX9Uzs7Oqqp66aWXHjx4UJblyy+/fP/+/UePHn3oQz/y9rf/g4985KznQ3X7NqUpnZ31eY0tsLmj\nzct6njebzTzPS9P0wYMHvu/fapTH6ZQ+/enuCz45abuwgXnwgEhM5oYLdSFIm6BTgwWEj0IRW3K/\nhpZeAyoi96d/+qdspI7jOIqiv/N3/mctvyNzEx8Ogr81dj2sjbdYw/NWEdHOCO/ZCCSDHJIdhIfa\nbSU/DoL3+g6Wxa9+9avcsZSIgiDYVbXq+3pscvM5JYl+W2CHR6ilR9zzehXMis2OiOodJ2oxcrB5\nQ6qqquGkNm6CQG5fO3rsvJD/y+EmoS3J8zyO4yRJfv/3fz+KIr4MNfjQNM6BjSL9FozOFy/2iCdJ\nwj+QcturBMGWHkgt4Wam0hC1JKPzhZ3GWg4pyzI20VZVtSsAGsdxnud5nj/zzDN7g6RuBVJPTug/\n/kfR3gFDyQ/tNGe8eMLQ/fv3OX3C9oRnn332drsMnq50mufRrVt0/77OxOHJSd8XDIJgNpvlef7y\nyy9vOjtOTujBA3r48OBvn1Ok0mw7n/ucoLdbnutcjFtbXzPWQnZlWXKoJEmShlNqgtaPlhhg4oMW\nNhvcrRUM9ekjp7F7XhBQVWluHKclNcWmcL4trZUucc3coU0cZJbHTqe2V1BDjjRKw34OqcGNOplM\nONbved7WxsZFUaig3yuvvNK+DFAC5+cSx7TUMZT80A6XDQVBkef5crk8PT09tGCoAY0NF7izjsxf\nOpcu8TGx3kecg42ed9i5RGCK1LqvpE5RIIe0nSEEqSzLq6sr9Z/t+5qos+2ue1Kb0gqxBMFqcKdk\nxE5dY1QLny9+8W9/93f/TY1NtRV6W4zratJjCN9f9RGP43g6nYZh6Hke1yAfWjArrT+WKO+fqMWI\nYghB4qd8198WRaFuNnzd6TMwBujF9MSHDmxt4VNVlKb0vvcZ+Yp6u9JpbNLDPUO1/3b4DVvvIx7H\n3j/7Z18+OfmN97znf2sTh+CFiWqNIypkJ2oxorAWsvN9nx/3+i0niiL1cSLiY1qD68F1uOJH5mFZ\noWVsXX+KolAR2s2Z30YzXpvNTHuipUkPPb5kGzouKI/4Zz7zmS984Qv/+B//9Je+9H+0/FqdHXrm\nEJXWEhU/FIU1QYqiaPM+tDabmaMHnueN9c7kRNROWcCH/yXUm2oHQdA8INVoxkv7dhbHbkxr9Tzv\nxRdffPHFF9M0ffTobhz/70nyv9heVBdEjX1ByG4XNk0NmzKz+ZGx3o0UTjyavHUO5m7IsowjcoeO\nQxWe8VqDO03I94wwfBr4N//mNz/wgf/pZ3/2r90yEJGwkeEI2e0CvewsM53SSy9JvyQR0cOH9OgR\nnZz0fZ0kSW7fvr3ZTq0oCm4ol+d5EARRFHE/0+bGa2v4fqsGdx0elTbNTA/l1i26fbtvM9NHj6iq\nNPxeWvKDP/jd3/u97/zt3/7ab//2LzVXBw68sGY4RCZkeyhLnZ1Vydmtbyv2bd9HDhdtSLMkbcKp\n+P7CGcexGiLneV6WZXtb+ByEoYyXoeFGPZv00OOWH0MeaIKAqur7y/L7fX/dI15HVDWSqJyNNLuH\nKCBI9nElndBz61T4vl9V1c/93M+9//3vD8NQ7+HOYsarG6wlnX+wVvZ9Lqiqqi0ecfU5ctSIEXKF\nYGl05eEcHgiSCGYzB+x2nKHpRlmW7FjxPE/XZWgXhjJe5jYRbv4m/wGoUyuoWveIK1mS8+1UlRRB\nurpy4OhpEQiSCLjcR84beBcHOdlUV+nJZNKzhc+h8BFeb2DEaCOl+bx7wWy3luf9YU3Kc4rjJx7x\nNE15tG5Z+nJ8D0LmhettYTdKIEhSEFLu00ybcp8+M791YeLOwSJn7hfUrUkPPa5ms7L7RxFVFcUx\nXVxwqa/Hx440Tf/9v393GH6XkGS7kIkY19e4Hu0BgiQFfufKT37w9La191W9YCgMwyEvQ7voc+fY\nygDZmm5NergK1dZ1xPMoSShNyfOe3ELY5pDnKRH5vm/dIy5BFvOczs9tL0I8mBgrCB6LJx9upUNE\nWZYlSRLHcVEUasKQnAaDUUT37onLrjcTx3R56diaiWg+J9+nJHlq5fP5nJWJ58hYWxzRYmHxi6+4\nvnYgJm8d3JAE4cTEh6IoyrL47GffXRRf3GzhIw1dTXqYYS6vd+5Qmh5mypBQXs0z/dKUwpCC4Eln\nBO4jXhRFkiS72vabxnrILk3p4sLyGpwAhbGyCAK6vBSX+WSPXJ7n9+/f5+4Jf+/vvfPhw7MwlB1e\nJCKiszO6e5emU1Iltn0elQcPjB8XuGD2058+YDriM8+IqEK9dYvOzuj+fXr5ZTo5eepCcHJycnZ2\n5nne5eXla6+9NvA1Wm8h6qFUFd2/Ty+8YOr1x7H1MbghiUNvb+k+5HleFAVta+HjVrlPhzvHVow2\nM63jeatS3JZr5k8WEhFip8N8TmG4LgOqjzi3/697xI1yfW3zDSXfrCQHCJI4DDUFaAl75DzPq6qq\n2Z4wn+vZ5QfA85wZNqg4tGBW1MmAvYJ5/pTTofa36x7x0RzwN+FDm6jfjmQgSBJhd8Ngp6puM7+d\nyHgp+M7h1ln1oKnn0nwQkwnN51QUO3N4dY84t5IyJ0sWY+CXl7B6HwAESSIaA2Jpmu5KI9cjct0K\nhty6dqg7R5+fKlc4DRYcaz/13PcFHQ6qarXgNafDVvj55EYPJjziFv19ZSmry7h8YGoQytnZYWnt\nXaylkcuyTNP0/v37Dx484HGr3FS7cyjfRBtsc5yc0IMH9N//e/n3/37HFXse5fmg2Zrbt+nll4lo\nj2fh4UNBDXLu3yd6XP1Tdzo0PM9BEARBUJbl1dVVcx/xQ8kyeuEFOqRrvDYuL+nOHeNfZUxbH25I\ncvF9DYdx3/fv3Lnzq7/6qz/xEz/xQz/0Q77v680kC5xx3kwU0Ze+1P0Ha6WZKRcja5l6PhhrS13r\n6bAL9ojnea7LI86/LCs/t8EaBb3yyivqz77vOy1OECS59Jz4UG/h88EPfvBnfuZndC6uhhNNj+r8\n6I9SURB1beJgZXdrU1Al6liw+bNVPR2I9jwtLEvcR3zXeIuWWHwyi2KgaPZzzz1nvReGLiBIorm4\nOKxJKLfwubm5mUwmg7Xw4ZO7W82qOfvV+c5hxe/OjYWCYLvw2HU2r9GwGHY6xDHdubPnZ8gecQ4y\nV1W1drNvE6cqS2sOtzQV0c7VOSBIouE2ZXu3PzXzm9NCw9R21OHLnFsxpW6N44goDK3NWIvjVXdt\np41byumwS1zrcJBZjbf4tm/7tm984xtsw9n7hbLMmuPm5salmIEcIEjS2VXuUxRFURTcz1RCCx+9\nTXqGYT7v4srlU4It2K4Wx3R+/tSVVFR3j72L8TyKY8qyti5N5RH/5Cc/uVwuoyjaez0a2HtSJ0mG\n8DKMEgiSdOrlPlVV8czv5XI5m82stAVrwJXRtwrPozt3XHKuM5yMYTu4egRsTaDYSsv4YUunQ50X\nX3yRiDiIF4ZhQwsiW7Me0tSxUIEoIEgO4Pv5v/gXzz7//Bc3W/hIw7n9nZs4HKqjEpqZRhGV5ZNk\njIQldaC906HO4/EWeRzHs9lsM3xnZdZDntP19f7cGGjgmTfffNP2GvSQ5/lorCZU88gRURiGVRWQ\nMBvVLqpKekuhzUelKKgsD0gLcVMcISYOdjpUlaAseodmjEWxqmA9NOqrmozUAwYD39TLkq6uaDaz\n8w4d09aHG5Igmlv4uFLu42iTHjrEIiyqmSk7Ha6vBQlSh/hhEDxplcREUStl4r247hHPsuFmPfDx\ni2dBgf5AkOzTsoXPoRZwixzaGFQCQUBleYB5XVRYJgzp+nqL08EWneOHHEElorJc+Ut9v9VTpDzi\nn/zkZz7/+XeG4d8mMv4byjIqS8eMPMKBINmhw8zvlhZwIfD+LmSORkui6ICp59KamU6nq/XXnQ4W\nF9MT33+iTHFMk0lTN7zav/K/+U3/3/7bN9L0ikyOt+AY3fm5S0cuJ4AgaaahXm8tItfBnuDQxAei\nJ/ujhDN7S9oXVIlqZloUqwWvOR3sLkYLKhrG5bSTCUXRzh87H9fe9a63m+sjjhidUSBImuFGCfX3\nQL2FT7em2goeMyNnH9wLz9Ggrk16rNCyoErUL6J+XeO9sqGng2kMGdA5yUREWUZXV6vxFmu/o7Wq\nMtVHXJcspelq9qATUQoXgSBpht8DP//zP/+FL3zhfe97HxEFQaCxhQ8f4R06nfVs0mOFNgVV0kJ2\na5stOx2sWPBNNx2PolUBk4pgq+De1lkPyiN+dXW11SPehqKge/cOqJcC3YDtWyf1Fj5hGBqKXx/q\nUZaAqCYObR6VveZ1Uc7vXf7AqqLLy0GdDsP/ojlVWVV0c7O6jjfABiIOmLd8ff4Z2rJ0t0HC1qcL\n3JD6Ui8YGqaFTxCs3oFC9vc2uNjEgQtmdx2Kq0rQDnVzs/3jqux0GKeDlVkPbH/g8wE/YA32h+Y+\n4mVJZUlrH6kql55b14EgdUG18CHdEbmW8P7uVk24i00ceDf3vC330cVC0CW1eSzpfD6Q00HIrAfu\nPzub0fX1U5+jOuwVhU+UFMUbzz//f3/7t3/7P/2n/+vf+ltv3XxN3xd05jgSIEgHkOf59fX1ZDKR\n0MLnzh2XHHfUtUmPdXhcwmYkajKxt6bDUU6HlmU9HZAz6yEMV0KyS04ef/ztRD9cVVWa/p9/8RcG\nPeKgPRCkPZRlmT2uHQ/DMBGzm/L+7tyd4/zcsYJZqo1LqMeChGSPmF0huzXieLu4asHWrAcOX3f2\nGnAfcS7JWCwWej3i4FAgSFtobuEjB27S45YmudjEgWrjEjgcRMIG4jWH7OpsFdf+WJn1wN0ceBhH\nTzjmEUWRidIl0B4I0hPYnrBcLk9PT3sWDA2Gi/t7EFBROFYwy9THJYjioOuOEtd797QZ8Iaf9ZAk\nq29EL1o84qAzx277Xmvh0zBeRTIctXBIk4goy8j37WhSf5ssF0jKuZh2zsxxj+3lsleFDV9TBrtR\nDDbloYNH3AqwfbtN/xY+0ghDV5v0cO8J55jPKYoEFVd1dljU2x9k2SoIfOhvZDDDoeogN8xtrNkj\nDkxwRIIkbea3XkbcpEcmXP6SptY69CiqSsMvnd8NHaY/DDPrgeuUVaXRkKg+4kmSSLDXjhvRgpRl\n2WKx6BPJrUfkgiAY9xmHTdUuNulxq6CKmc2eJGPs+kqKQttLHTr9oaqGaBqi5slafEjY3FRVVZqm\n9LiPOFtw5cf0HEK0ILU5jGy9Tddb+BzVicbFO4dzBVX0tAbUnQ5Wwo9abkhrtJz+YLoSVloHOeUR\nz7Lss5/97Ic+9CGxFlxHkW5q4K48u25IHIJ7+PDh7/3e77366qs/9mM/9p3f+Z1VVblrT9CCc8Wn\nA089758E5l5Ra6+xq6eDaYb5dbM21Kc/8DxDQ9+vmvIg+e4hxCM+JlODFEEqy/Lq6kr9p/odrwnS\nZhBPXYbe/va3v/HGG2RyKpcrDLy/a4FjRMOsWYsgBcGWayjv2kNGILmiaMj9MMtosaDTU7q5MSWE\n0kyMzfAWFASBLVWAIA3H5g2p+c6EimuGWxS7dU9iC/IA21D/N3Bz0miwWUTsQbCSGGXv9WTyJO2k\n8WXlxOjaw33FrJQuQZAGIk3TxWJBRNPpVGWJmgWp/m8l3KYt4uKUimHGJfR/A++NkuX5U+0+DWEx\nX6h+Amr6w3L55G+n09WqyvKptkanpyulqSpaLJ56Qe58KmeiRzc40jOwRxyCZJOWgqQ+2daxRQIu\nahLRyt9l7h3d/w3cpjUGi6u5w77FwOzWFBpQsCxNp1NzQ9HqjEmQvsX2Asyi2qEmSaJ6pB4PQUBV\npdMWPAxRRGFIcSxuKquizcK4aCbPydBzZ0uNeGjQWDZAI3DpUhiGaZomSVKJfY7l8a137961vYYD\nSNP0+vr61VdfffjwYXsfne/7Z2dnt27dury8fO21147KgBcEdP8+PXpEJye2l3IInkezGX360/Tw\nId2+rfnFy7LsGci9d+/JcJ1mgoAePaJPfYqmU7p1q8/XfIqypIcPLUS3koQePrQ29Mgtbt26dXZ2\ndvv27SzL8jw/OTkxdFvq/zzLwb2QXU+4lu3YKq4dLT6lx8kYvZkSLb3sDt2UuRloy/YHexne2T9Y\nB7mxYi6rPaaQ3dEJErNWcW17OUPgXMGsgpMlGsclWBEkemyKu7mh6bRXYm/gFA478vWOqzhaTHjE\nIUgj4dg84u7ek0ir02EAl10z7Ey7uaHZrIuuDHY9Uh3kEKPTi16zFQRpbByJR9zFgtk63Oy5v6ba\nuiFt0mH6w2CzHrKMytLVW7UT6PKIQ5DGyTF4xF3XJCJKkr4dZXq+gdm4qPcZ4d2/zfSHAa5HasoD\nYnQD0F+WIEhjZvSyxNNanQ7C8MWi8+G95xvYXApn7/QH09cjtQCnHw8X6ZPVhiCNHysV14PhaMFs\nnT5Oh55v4AGGTfB3R/TUXdD07Za/oi4fIOgAy5LneWEYtk8fQJCOhYErrofExannm3RzOvR5Aw/v\ncLu6Wk1/6HMpbEbalAdwUFYbgnRcjNUjzsEZ1zWpg9OhzxvY1miPPKerq5VfXKNsODHl4Wjhbcf3\n/ebHFYJ0jPBUrqqqoigajRlv+HEJhjjI6dD5DZxl5Pt2Uv1KCNn+QNtm1RfFUx1OJ5Mnn7Prrzhy\n6/pvf9zszWpDkI6akXnEtZed2qK906HzG9jW9YjrluqRSdWi0PX22KAlRVHkee553mZWG4IE7E/l\n0gufu522g1Pr6RXd3sCDFQBtMoCNAjjBVrMVBAmsGJNH3PS4hMHYK64d3sC26rfQQQ5sspbVVs/z\nCLqsQpA0MCaPOLeKcT3F3XxV6iBIw3cC5A5yw0yeBS7CsvSWt7zlD//wD2/fvk1EYRi6PsrAsfET\nMvE8bzabeZ53eXn5xhtvnJyc3NI4aWBYeFzCSy/R7ds6xyUMzK1bNJvRgwd0dUWvvUae95SWHHqQ\nLEt69GjQVA1PefiX/9L52yowRFEUPODtO77jO/7kT/7kz//8z4MgePbZZ4nIaScwbkht4Slbzb/s\nqqo+85nPfP7zn3/++eed9oiPxunApClV1ZPpD4fekIb0MiBGB3ZRlmWe5zc3N5PJZPMypIJ4llan\nBwhSK9jC4HleQ03Aj//4jz969Oh7vud7XnjhhSAIRuARH4fTQaHaH3zta/knPtFWkAbraoEOcmAr\nvPnQ44Ikd4+5bYAgtSJJkjiO63/YJI7jZOMg7bpHfDROhzovvZS//nq4XLba/Qe4HmHKA1ijKIqi\nKDgq0+1Qq7YptyxXz9pegGM05Awnk0maplVV1WsF+A8tK64F4nmUJCNxOije8Q76qZ8iIioKimOa\nTHa2P8jztqPKO4MpD4BRpffL5XI2m/UPvm2ej+UDQdKGOpJsPgf8bOV5HsexWwcWZj6nonB45uwu\ngmB1Q8qyJ12u698gK5YhVAe50Sg96ECe50VREJHneVEU6YrIbT0fyweCdBhFUSg5aWNzqBOGYRiG\nRVEkSeLWU0K0qgkdk9OhDksCD19g+8N8TmlqSipUBzkHj7BAA6rtQlVVYRjuygL0oeF8LBkIUit8\n3+ewWz1kx7Fd/jgRxXE8nU6rqmoO+AZBEAQIsRe2AAAI1klEQVRBWZZxHLtVuuR5FMeUZZTn43E6\n1FFZnLKkJKHFgnxff/IMMbrjpKqqPM+VPcGECI0AmBrasnkf2vwIO/Ha35kc7SPuutOhje2b45Pc\nRI5oy71QdZPbZK2T6XS60p6ypJsbh39uoAP1iNxBU456os7HHAkc5ov2B4Jkn25TuazjrtNhryBt\nNgrKMlosiIhOT3fKiWuZQWCKsiyzx6N/LXZPOPR8LAEIkiCc84g7Or1iryChmSk4lLWI3OgLhgwB\nQRKHWx5xvky41XKtQZBa9gsHgGF7Ag0ekRsrECShuNVHPM/NOqT1skuQuMOQK98FsAW38OEU8mgG\n0AgBgiSahqlc0uCrUsv2B3bZFCR0kAN7US18/uAP/uD5559/8cUXba9ohECQHMCt8RacWCKSayer\nCxJ3kJvNXAo5gsFQETl6uoWPuiTBva0XCJIzKOuOKx5xLrihjfYH1lGClCToIAfWUS18aF9Ejk3V\nAy5t/ECQHMO50iVuf8Dw9Afr5HleVSGqU0Gd/i18qqqaz+cXFxfIKnUGguQqznnEuci0qsj3bVYv\nlSV9/OP5xz4WCk90gQHQWzCUJAm/AgSpMxAkt+H+iW6NLuYk02QydFs8NeXB9w8eYQ5Gw1rBkK4u\nBmpaBEGQegBBGgNuecQV7G07PaUwNG5/4I6D3SbGghFguoUPT0pjBwSers5AkMaDOvc5Ycarw415\nTk+NJJnUlAe1BUGQjoR6wZDpKAJLUVEUThRpiAWCNDbc8ojXYfvDzQ2dnrZ1vpXlysi3+VLceo6I\nptP1lBUEacRYbOFTluXl5aXneW5NfBAFBGkMbO07nuf5zc3NnTt3nDDj1WH7w83Nk2mtu/pnr9Fy\nWgQEaXzsKhgCbgFBch4uIPc8T7W/U+Hyt7zlLd/85jfJHY/4MECQxgFa+IwPDOhzHp71R0RJkvB7\ncvPN6ZxHHIBdqBY+7JHDSWtMQJDGg8rZbr5FOZ/kokccANqY+e3QxDlwEBCkI4JlKc/zOI6d84iD\nY0O18Pmt3/qtj370o+gadwxAkMZDURRtNCYMwzAM8zxPkkRjYSAAWuCiuslkolr4cH0PTlHHAEwN\nzqMaQXaY6eeuR7wPMDVIQ7Xw8TwvCIJdIeWiKOp/tWkuBa4DQRoDPd+ZvB107inpHBAkCfRs4cMC\nxv22ccsfDRAksMK5PuKdgSBZhO0Jy+Xy9PRUSwufOI5RiDoaIEjgKfjculgsRuwRhyANjKEWPpxt\nOj8/h2t0NECQwHZGXLoEQRoAFZFbLpfT6dRQCx++1sOANxrgsgPbUR7xq6sruJtAS4qiUIMYoigy\nnd0Zd2z5CMENCeyHexGNxiOOG5JerLTw4aIFmBpGBgQJtGU0HnEIkhb6z/zuCbdwxCVpTECQwGGM\nwCMOQerMWgsfuAmAXiBIoAtOe8QhSAehWvgQmmoDw8DUALrADV2OwSN+tJie+Q3AJrghAQ245RHH\nDWkXHI/94he/+N73vvc973kPInJgYCBIQBs8qEZ+VAeCVEddcyeTCRspnY7HAqeBIAHNcP285NIl\nCBLVZn7visixUMFRDYYEggSMINkjfrSCxAVDNzc3k8mkg0eOi34MrQ0AgiABo7Asmesc041jEyQO\npfZs4YNCVDAAECSggeb5F7/yK79y7969559/XkhO4hgEaa2FT3+zifqhobs2MAds36AvfAD3PG9z\nQiBbh8Mw/OM//uPXX3/9J3/yJ7/ru77r4x//uBNmPOdQBUPL5XI2m+kNlvJvtiiK2Wym8WUBqANB\nAn0py5LbLSdJsiZIPC6diO7du/epT32KP+iWR1w+g7XwKYqiLEvE64A5IEhAGw1J8slkkqYpZyD4\n5J5lWZZl8j3iMllr4TPA/AWoERgACBI4ADYpqP9sf8tRO6ZKP/DWlud5HMeSPeJyWJv5PeQQoKIo\n4jgOgmCxWKgqJQC0A0ECB+D7fkNCm9NF/Odmm4OCY3oc9JPpEbfOWgsfK3eUIAi4aAkAo8BlB/qi\nOm/WTQ1ca6mO0nEcT6fTZtPwYB5x+S47buFDRJ7nBUGAFj7gSIAgAQ1s3oc2P9Jyes0AfWtkCtJa\nRE5U5RYAwwBBAhJhWTLUZ1qUIBVFce/evclkgqbaAECQgGhMeMStC1K9hQ+H44R3/wNgGCBIwAE4\niLdZeNsNW4LEFcS0IyLH8TrYOsAxA0ECzqCrj/iQgqSaapOmFj4AjBgIEnAMVRPa+TJhWpC0zPzO\nsmyxWCCOB44K1CEBx2AbtMDSJb0tfIw2AQJAJhAk4CRcoltVFRfq2uojrgqGiGiYFj4AjBgIEnAY\nz/PiODbqEd/EYgsfAMYNBAk4D8sSGe4jLqGFDwD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# From https://octave.sourceforge.io/octave/function/plot3.html\n", "z = [0:0.05:5];\n", "plot3(cos (2*pi*z), sin (2*pi*z), z, \";helix;\");\n", "plot3(z, exp (2i*pi*z), \";complex sinusoid;\");" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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MUb3IWk/dVjhJpg9GVsTJK2LvrW8TowVJE0VRfOiebe+7wrcSE547++vaqHPk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\nJAAAAEYAQQIAAGAEECQAAABG8P8BZr+dgUA0GrEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clf;\n", "z = [0:0.05:5];\n", "plot3 (cos (2*pi*z), sin (2*pi*z), z);\n", "legend (\"helix\");\n", "title (\"plot3() of a helix\");" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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S6KHCo4l4NBG/7PRfs6QqckQlEwK1xv3Aj70evPPCxIm9T5xwF8GvSVK+aM1+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\nnMWkJSKGCClQaMmzoAV00Nfj+KhVmoBGk9v/owxdMipxELpiw58aAzsCrgX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c14m9xtGvHvkR+NRwy9FmAvbBq0WiiBbXhn0wN4aPWRGCAgGzSkkd5GnvxbynOR3xee3xrZ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\n3j813efN6mYeVzgAXH20Lm/TkA8fK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clf;\n", "colormap (\"default\");\n", "[X, Y] = meshgrid (linspace (-3, 3, 40));\n", "Z = sqrt (abs (X .* Y)) ./ (1 + X.^2 + Y.^2);\n", "meshc (X, Y, Z);\n", "title (\"meshc() combines mesh/contour plots\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "----\n", "\n", "## Conclusion\n", "\n", "We showed a little bit how to use a Jupyter notebook with GNU Octave\n", "(or GNU Octave with a Jupyter notebook?).\n", "\n", "*That's all for today, folks!*\n", "\n", "[![made-with-jupyter](https://img.shields.io/badge/Made%20for-Jupyter%20notebook-1f425f.svg)](https://www.jupyter.org/)\n", "[![made-with-GNUOctave](https://img.shields.io/badge/Made%20with-GNU%20Octave-1f425f.svg)](https://www.octave.org/)\n", "[![GitHub license](https://img.shields.io/github/license/Naereen/notebooks.svg)](https://github.com/Naereen/notebooks/blob/master/LICENSE.txt)\n", "\n", "[![forthebadge made-with-python](http://ForTheBadge.com/images/badges/made-with-python.svg)](https://www.python.org/)\n", "[![ForTheBadge built-with-science](http://ForTheBadge.com/images/badges/built-with-science.svg)](https://GitHub.com/Naereen/)\n", "[![ForTheBadge powered-by-electricity](http://ForTheBadge.com/images/badges/powered-by-electricity.svg)](http://ForTheBadge.com)" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Octave", "language": "octave", "name": "octave" }, "language_info": { "file_extension": ".m", "help_links": [ { "text": "GNU Octave", "url": "https://www.gnu.org/software/octave/support.html" }, { "text": "Octave Kernel", "url": "https://github.com/Calysto/octave_kernel" }, { "text": "MetaKernel Magics", "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" } ], "mimetype": "text/x-octave", "name": "octave", "version": "4.0.3" }, "toc": { "colors": { "hover_highlight": "#DAA520", "running_highlight": "#FF0000", "selected_highlight": "#FFD700" }, "moveMenuLeft": true, "nav_menu": { "height": "109px", "width": "251px" }, "navigate_menu": true, "number_sections": true, "sideBar": true, "threshold": 4, "toc_cell": true, "toc_section_display": "block", "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }