{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%html\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lineaarne kahemõõtmeline süsteem ja tema püsipunktid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Üldine skeem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kui on antud lineaarne kahemõõtmeline dünaamiline süsteem, siis on kindlaks püsipunktiks $\\underline{x}_* = (0, 0)$. See tööleht näitab, kuidas saab määrata selle püsipunkti stabiilsust. Alljärgnev juhend võib kasuks olla.\n", "\n", "* Kirjutage oma süsteemi kujul $\\underline{\\dot{x}} = \\underline{\\underline{M}} \\cdot \\underline{x}$ maatriksiga $\\underline{\\underline{M}}$, ehk kujul\n", "\n", " $$\\begin{pmatrix}\\dot{x}_1 \\\\ \\dot{x}_2\\end{pmatrix} = \\begin{pmatrix}a & b \\\\ c & d\\end{pmatrix} \\cdot \\begin{pmatrix}x_1 \\\\ x_2\\end{pmatrix}$$\n", "\n", "* Leidke karakteristlikku võrrandit\n", "\n", " $$0 = |\\underline{\\underline{M}} - \\lambda\\underline{\\underline{1}}| = \\begin{vmatrix}a - \\lambda & b \\\\ c & d - \\lambda\\end{vmatrix} = (a - \\lambda)(d - \\lambda) - bc = \\lambda^2 - \\tau\\lambda + \\Delta,$$\n", "\n", " kus $\\tau = a + d$ on **jälg** ja $\\Delta = ad - bc$ on **determinant**.\n", "\n", "* Arvutage omaväärtusi\n", "\n", " $$\\lambda_{1,2} = \\frac{\\tau}{2} \\pm \\sqrt{\\frac{\\tau^2}{4} - \\Delta}.$$\n", "\n", " Siin $\\delta = \\frac{\\tau^2}{4} - \\Delta$ on **diskriminant**.\n", "\n", "Püsipunkti $\\underline{x}_* = (0, 0)$ tüüp sõltub maatriksi determinandist $\\Delta$ ja jäljest $\\tau$. Seda iseloomustada aitab selline skeem:\n", "\n", "![Püsipunkti tüübi iseloomustamine](https://moodle.ut.ee/file.php/4477/dim2_fp.jpg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NumPy ja PyPlot aitavad meid püsipunkte visualiseerimiseks." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import numpy as np\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "from IPython.display import display, Markdown" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alljärgnev funktsioon…\n", "\n", "* …arvutab $\\tau$, $\\Delta$, $\\delta$;\n", "* …arvutab omaväärtusi;\n", "* …joonistab faasiportreet." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def fixed(a, b, c, d):\n", " tr = a + d\n", " det = a * d - b * c\n", " dis = tr ** 2 / 4.0 - det\n", "\n", " display(Markdown('Maatriks: $\\\\begin{pmatrix}%f & %f \\\\\\\\ %f & %f\\\\end{pmatrix}$' % (a, b, c, d)))\n", " display(Markdown('Jälg: τ = %f' % tr))\n", " display(Markdown('Determinant: Δ = %f' % det))\n", " display(Markdown('Diskriminant: δ = %f' % dis))\n", " if dis > 0:\n", " l1 = tr / 2 + np.sqrt(dis)\n", " l2 = tr / 2 - np.sqrt(dis)\n", " display(Markdown('Omaväärtused: λ1 = %f, λ2 = %f' % (l1, l2)))\n", " elif dis < 0:\n", " re = tr / 2\n", " im = np.sqrt(-dis)\n", " display(Markdown('Omaväärtused: λ1 = %f + %fi, λ2 = %f + %fi' % (re, im, re, -im)))\n", " else:\n", " display(Markdown('Omaväärtused: λ1,2 = %f' % (tr / 2)))\n", "\n", " fig = plt.figure()\n", " ax = fig.add_subplot(111)\n", " ax.set_aspect('equal', 'box')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", "\n", " X = np.linspace(-9, 9, 101)\n", " Y = np.linspace(-9, 9, 101)\n", " XX, YY = np.meshgrid(X, Y)\n", " DX = a * XX + b * YY\n", " DY = c * XX + d * YY\n", " ax.streamplot(XX, YY, DX, DY, color='b')\n", "\n", " if a**2 + b**2 + c**2 + d**2 > 0:\n", " X = np.linspace(-9, 9, 21)\n", " Y = np.linspace(-9, 9, 21)\n", " XX, YY = np.meshgrid(X, Y)\n", " DX = a * XX + b * YY\n", " DY = c * XX + d * YY\n", " ax.quiver(XX, YY, DX, DY, color='r')\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Püsipunktide tüübid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ > 0, Δ > 0, τ > 0: ebastabiilne sõlm\n", "\n", "Maatriksi omaväärtused on $\\lambda_{1,2} = \\frac{\\tau}{2} \\pm \\sqrt{\\delta}$. Mõlemad on positiivsed. Faasiportree on **ebastabiilne sõlm**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **repeller**." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}3.000000 & 1.000000 \\\\ 1.000000 & 3.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = 6.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 8.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1 = 4.000000, λ2 = 2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(3, 1, 1, 3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ > 0, Δ > 0, τ < 0: stabiilne sõlm\n", "\n", "Maatriksi omaväärtused on $\\lambda_{1,2} = \\frac{\\tau}{2} \\pm \\sqrt{\\delta}$. Mõlemad on negatiivsed. Faasiportree on **stabiilne sõlm**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **atraktor**." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}-3.000000 & -1.000000 \\\\ -1.000000 & -3.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = -6.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 8.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1 = -2.000000, λ2 = -4.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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8+QhXhm3bqNF168YIjBYuF9C+STpioryWQ3zdOppI9er5A43z518ZwgMUIE+JSJaIJIvIFzb7PC4iO0RkR40qVUi+2bs38KSyszmIREiLDqiR8+fj6BNvoVIFHypXDpquW7dSkgcFiAJlyH08pwUvAeBcmTQJiIlWECEKRBSV6IncXIYntQPj6acBLFiA3MXL0bevPpz87LPmF1yhSBomvxrGsutnmGqvFxHBKKIWAeHx4B+mU6gcEJ2D97nngMREuN3Ukv79b4d7sOGj9O9v8CFduACMHo0HHtCvmuPH61X9F18EOjRMRNJHzgI8gH/9CzhxAmvXcrW1DQC5/UQxg0qXm0sBeeONmtD9yZN0iIWwQd57j79hevcwOCQAbcBffvE7IvmJjeVYUie6zwcM6MdFZsk750yn6NtX/56/n5eEY12eAC5dwu7dFJ7XX29iGQQEh51zdNUqCqVGjeh7w+zZwCuvXBnCQ0TKishaEblORGJEZLmI3O90TFxcHDWPJk00CQQ0D1QyzfDhGrX4hRewv+LtKBfrQ40a0BHFzp6liigCTH4mmVzxxYuthkAABw8oaF42PjAQtJg/n6uJCMPHOHQIqFcP3t82Yvjw4OAxURUUBR2rHEWz6yzIIEacPw907460Pw6jYsXgOX/8Ub9bSgoQWyIfM/r+ZjpFQgIdygFnnddLvVZRcOwYzzdvns3109MtCSBnzvA4HYdq1ixg/Xo891zwPidN0h+XmUmV+f6a68OzWU6cAEaNgqLQ4VutmoO5N326JT1+/HjeSyB/xOdjvN1ELtFjxw6gUCEF91TZCcUbRrx//nzg7beRnx+kE/Tta16fnhnDxeWtf8WbTrF0KQLmXkICgKQkPFNnOaIiFUydyiFbrRplnxahBMeKFcHcrKQkcCXxv7wrRXgMEJFPNH8/KCKznY6Ji4ujwFi/Hhg0SBd7VxSqziJcBfPyQC/asGHY9ej7KFMGqFNHl74CRWFoXARYNngJcNddpgdthG/delSKuAgROti1+PNPnis6GlCysknTXLhQxxSsX998zje7rYOIefUw4cIF2hybNuG77xAwwYwUkcxMv3ZxvTm3Y98+bgvYv1u2cAlfvx4rV3KbVfgQAHM1nnjCtEKrVPu9ezUPokcPIDsbjRpxmxV/Y+5cbtv0+LwQPxz8kY8/Dpw5g2XLeJyO+avF+fOWHsm9e/ludE7dd98FvvnG8dIZGUCd2gqqFU1GypEQqQ4A1dsnnoDiUwJaolWujsrGHXX3cZPS8+uvXIzatfOHXNPSoPTqjSoVPQFhXLJkgJwbgJXgSE8PRtm/+orP4OabgdQUhTH/OXMCx18pwqOVP9JSTEQiRORzERnldEyckTNtkTswfTodiN27a4hbJ0/ijy0KSpTg5NWGN3Ny+CCLFwd2LzoQVj5C1pa9qF4pH02bmieuGsL76SdQvdFQiitU4L0ZB8r+P5nEp0mtscewYQEjX4SOMCPUxLjXum4wbdu0ybDyZmRw+XK7MWcOt9lGLu680zL+e++9JIAGfte8eVwWL17EzTfTFDJSRBQFaH6TgiayB8pMZ8o7AJpWnTvDm+dBo0Z8j5a8uu3b+fLj43Vfe73UVsqX1yQQf/st8NhjjpdVFODevm5ERXix8f09jvtCUbg69e0L5ObinXf4PK1Cwd9+y8zjPk2PmxzIW7dyPDZp4nfxZWUB/fph57IEk/9o7tzgcS4X0Lt9kk5wZGXxN99+O4VtZCQFUka6wmeqyVWiUL4ChAcoQCaJyGF/qHaBiBR22t8kPGywaBGla/PmeifS+vWMdjRrpsk+BBeqqlWpKJw/H9Yl8PXXfHrGuZSfT098q1b+yaSZNWq0x5AUCUUBatbwoWfPMC6smdl9+lCbMkJRODBfftK8SqrcBl2Uwa/BPf88FRvbxLBXXjGZF14v7XjVBwSAK9mKFTh/nrb6K6+YT6WS0WbXejO8UFPz5sC8efjsM4PmZMR//kMWoUECqqt8QFk9fpxfhDBVVe1ocuOFoeOy8+ZRcJ0/j5Urmenap49ZcG5e6UKHmvFoXSXBFLo+dIhjp0UL/1g8cYLSee9ejBkTFBqqH0kt6+BKyUf7JumoXiwFXy8OStVFi/TCplMnIDPdS/NT40xWBcsVIzwK+glXeABc+VU2qtYmXLWKE+Tmm/WRgZ07g5M+HOaponAhLlXKnBinruCrVum/T0vjPVlltY8YQV9EQTgHzz7L82nHdHw8bdqYGKBzZ5qyWoH41Ve8Nx0/xH+CAQPoebeFxc2pQkBHWvLbhuqEtUo2GzoUKF7Mh4xj1pRzHdxu4NNPkZfH8LtqvVpi7FhT2CEhgYpQt26a4959lw/HQSDs3w+0aZ6DvsV+gm/rdtv9APA8zZoBQ4bgwI4clCxJLo0xe//oUaBcsWzUiziGpB2ndNtOn6YSGEghOnGCXs3Zs3HxYlAAFC1KM3DtWgpvV4aC9uUPWvo47r5b77Du3fIMPA8M02Xnqhymu+66JjwC2LyZ3uhKlXTpG1ixgppJu3b6ZLlvv+UTGTQoPPLPkSNUB3WrLuhvqVaNk9F4ngcfpMAxWkdqmrxVIRg7qGqxNrZPoo/+o2UyqjkTVmzvuDimfxcEr73GwWnlb2zThvPJiNRUzonHHw/zIv6HOHcuz2fIStfD4JFUFE7ievUMloxVtqIG2dmMyFSIdePCUZfjvgA4GL76Cikp5BhVrGg2/5KSgLp1fChX2IWjq/UvIDmZUaBSpTQR45EjgQkTcOlMFpo25XPu3l0vw10uoP2NqWSOjtlkOqdWcKgEtf13jwU8HigKA0IiVG7y868JDx3276dJUrq03hG4dCnVtNtv12saU6bAOipig5df5v5GnobqRDQO9A0bSDH+7DP99zk5tE1V/kg4UE0nLT3h+ef1gqNwYb2JpgocqyzO2Niwav3ocN99QNu25u9PnQI6drQurDNzJtVyi9IYtsjO5iLQqVPBkhvViEUgkzdMPP649ftzgtvN+ytc2Ew+zMlhrZAiRRRs3qRfUVwuasJFimjGqN9/4nJRGy5UyLywuFzkOUVFKli6SG9OqonI6jioVg0Y3TMe66fvYOUyL33fIvxXNVWvWuFRpUqcbiKEi4QEsu9uuYWkLBULFlAyd+sWXLDUYl1hmMMAOCjq1KEjVLvo5eXRDLr5Zr32oSiMrVup3n36kHYfLuV5xw4OLO1vyshQcxT4MRYrmjGDGoExMpqZyWdklw9jhawsmkdWGcfvvsvrG5MJVe2+RYvwrwPQwrCKcDkhPZ0TqHnz8JOWgaBp98IL4R+jKMHJaKyX5PXy3UZEUOBrkZdHP1xUlDmTPzubC01UlJnHmJER3Gb0/ygKTVoRCqQdO/RjKj+fXCQRcnq0265a4SESh0qVQhJCuTQZRktiItOuo6KY/KXiozletG2r6FLq8/KYpFWkCPMYdOe1gOqEfPVVzZeKEtA+jINi1ix+H8i98b89NSltm3UBMBNSU7n/W2/pv1evK6I31wBqNhERZgGlEpkM9WYc8euvPCaQ3alBhw7W2cQ7dvAYU4VAB4npclEgBkyqMKXrk8MVREYqOkarLXw+QFFw8iS11FatHKgnFh5lNVFx3Djzvqo2+M475tM88wyC3BrNmM3NZdCmfn3zIuZyAe3aKmjXziw4fD4mDIuQT2cs95CVRV+diDXB7qoVHg1LVkSz2hkQAYYMUeyTGI8fp8MhMVE30FwuOhF1auyaNfCMe9k0IJOTafPqKADvvWf2gvpx771UVwMr7dNPw3MhGXXrsnKWVu5kZNATH6AiPPEEAEZgo6MdVrzsbNPG2NjA4QGoBZCNRDaAhxcubPjyo4/w26cnIBJGAa7nnguoWC+9RGFszOC8eNEfZYn73nT48OEUyjqzKSvLvpozgvVkt24F7VDLYiN6bN7MiNNTdzsXLwpgwgTkb9+DVq0oPIzEqwB8Pr44TcFo/+Ho1cuwvrhcePemT1G5kmIK1yoKneSBSXziRMB55nYHWdNGwp62AphRcHi9wczx55/nNZR5n2Fcl+1YvZq+sVataK5/8onhdykK8PLLV6/wiGvRAvmvT8Okxl8hOtKLChUc+D2nTlFXfOIJneTNywP69YNeZZs/n54owzJtUnU9Hgol4xICRjRKlWKSl6KAIYaePfHF2xcgYs4YHTGCkzg5SSFH2z9K7ryTESLLxdXrJbde44lr1Yp+GyNaN3ahbrlUk7Y0ZoymEJCKl17CopkptpERHe6/H2fOcPK3bWud2q+GN/cM0z8nNS3dxHB//31boZyWRiZwIIz9wAOOqe8A1fImjbyoVjQZrvQwHCQbNgAvvIBx46hxOmb3Tp5stj380CkkHg+W3fo2uRx9zMrKK68EJznOnaPkSU2F18sa2yLm4nI6wWGIqrjddPR36EB/naIAeO89rH/kc4jQZ1KrFv81pfu43VAefwKvDDhwFQsP1VHw2mvYU7YjWlyfChFT54AgVq2i0Wsoiun1Bh1ijz4KeC8m0xFgV9dPhf/aKF7cvNyCL/uRR/wL86FDQIUK8H7yGRo1oiddO4D27+f133wTFHBNmwIIhnkDbE0t4uMZp9OM7vvvp5/EiCENd6F29KmAFFIUzrlhwxiBOnvWr5YnJwO1auGtB3dDxJDYZsSyZcjp2htRUUrAi9+0KdmTWmHXtbMHdUonQ9muJ7TMn89jdBXp/QQoO1NEzUbdvRt0eLz+usMNEm++CTQqex7fzzoVcl+kpQG9e2P1T/mIiAjBGfv55xDFP/xQFGwd+BaKFvaiVStzZE01Wx9+GFCSUyg4zp+Hzxf0txnLpToJjrw8niIwnhSFz2nGDAwdqk8E/egjw71mZsJ97/14qOsF/z5Xs/BQ4fXCvXMv3pmuICaGoTHVt+DxkAzkcvn/+PFH0xtUFI6DDh04dvNyfDQuDcxES/z0k95LaYcDB4CJE/H993ypxmTUjh25GnhcOYGl9cIFqvy20Z7Ro3Vew0mT+BaN3JQne51FuUJBR87EicEBpH4C2bOVK2PMQykoXjyEO2HcOCh33BmoaaL9qLyRtDQgOlrBWHnTlHTTtSudy7pr9O5tKzwuXSI/Y/RocOK2bWtbilDFqXgFxQq50euGUCoUKDgffhhJm46icmUKeIuuCtTeTpzg0m7LoAvixLi5uK5kDmrXNt/ul1/y/fbqBXguuQLFihUFgRwoYw5QRoa94MjO5nMV8demVuOvn34Kl4varfY9lS+vmQqJici4ZwjuaJMZuO4/Q3hosHs3PfgilNxqScKRIy1310FNt+/SJYwCyVqEGxJxoLuvWEHhsWwZdLyD227jnLJEYqJuX5VBaCwKNO4FBdFRvsBtGgvK6MLR06bh3ntDEMQAxl337MHgwXr+wCOPBB/H0qVAh5ZZ2Hz7S7pndPIkfR0mi69xY9sQitobZ88eUNK3bWtdLFaDnre5UEyykPBRGDHWdu2g9OuPe+5RUKiQdbU3ALTDOnSwUW81SE9H6pMvoX65ZMTGmquxbdzI6FSHDkDOjgM0gQ8cCCi0hQrRJ6UdWq7EHHRoloa21x0xCQ6XiwtQRITfh+H10nfk10xJ+gp+oqOpXGdlATh+HOfuHIqbbsxHVFSQC/SPEx4AV3VjUZ6oKHPikBU++4z73nJL6PHxd8LjofAwlt9T1dp9+0KfY+dODkZjRGfmTODmm5WAQPR6ubKqk754cU0dDLcbjzxiJruZ4Pc1fPhh8Bm3bq0PUQ8eDFQo74UvRV/vQjU/dC0wFMXWf5CWRsdlQDuaNCmk4Fi+nNeYOmCr434AqEk0bYr3Xk6EiL76mwlxcbRzLdWSIHInT8dDMQtRvJjPVAYT4OI0ahSQvu80VQK/114Vki8b/PYuF9Cu3CFTewSAz6d1a47bRYtAqT1wYCCTWE2cFOE7+fZb/+PLzAQ++QQH7ngKNap5UaKEnj/yjxQeAFX36tWDD02tIB0OvvuO77NhwzCyW/9GqKQtbXg2MZGDwrGuhh9ZWfydRlVXLVKktcJUUpkItTMtbrwxRBEgDXbt4jliYvTUfI+H/pShQ/X7Kwq1mk6dQp972jSGnlXtMUCAC0HUyMzku2/c0BNeRbKDB7F7Sw4KF6av3FaRPHOceqj7AAAgAElEQVQmLBPVl+fGoHo7IGIrD4MYO5aO19xcvPkmAv4PrW/b5QLaNU5DlHjw1TNbdDeYnEyNo2FDv/MzJ4ekonvvBfLyAoth8+YWSY7PPov1hbqgfm03mjY1F9/+xwqPb77RCw71/+E0YwOA335jNKBGDXP/l3BRUM0lI4PXNLY5uesujodw2JR169JtoMVPP/G3a5mO2hCukU5epYp99zsjNm7kOXr10n+/YQO/N4YQt2zh96bwoAVKlgzeY/36IQMrAYwdy2N+/z28/XNyWMv17rtDlvIICy/+m9TvKVNC7Kh6rhHkhgwerHelBGqORikmjeP8eQr6IkU0LqUNGwKmn2qG33GHhRl+9CiW3PUpChVSUL++dTj6Hys8vF4KkMmTGVVo3Dg4EF9+Obx6M7t2kUxWr17BWyL88AOT2wpaF/OZZ7hSaFeJBQt433PmUAMx9DXWoW9fMly1ULWDQD9aP5o358AzokgRUjjCgWpWGX3LlqUIwbB0kSIhrQ4A1Fy0dnrZspaBLR327+dk+9e/wrt/9Z5EbCPEBcJHH/Fcjz0WvitMJfL16qUfl0HBYQ4Znz7NcVm8uLnwt6LQh1W2LF0pxqJDigK8/RYFXPv2sGVq/2OFhxWSk0kNECElWq1n6oTDh6l9lCxJbSRcpKWxJFyNGgUrjnvqFH01Ks370iUKQK32ZFfMGFC70ut9s+fOIUhA0uCRR5jro4Xa29a2Y5oB993HPBPjRGnc2Mw5yc8nkc1YKtEOWmo9yYDOE1JRaA6VLRu+BqFWa9e0yL1srFzp77HSNfwCzt98w/fVtat+krtcdJRXrWoWHMePUxMtVUpfOBmgRffII/xNL7xgDgh5vYxYibBQllPm9tUrPOy6JxmRm2uavcuWcWAWLsyVImAOpKdbFvQ9c4YOxiJFNCZvenrIpWXbNvoCet/jgcdDbkOIBE4gJwcDB3LF0ebWaD+BquQWdVZVc01Lw3bnK4iIUEy1NB57jBNfi3MJnoCWExJuN2rXNvtHTp3iPegS0PLy8NNPfB4//BDivP4RrZotkZHMj7F83Bop+eWX3N9Edwc4awwx7AsXOA6aNTM8ypyc8BNgMjIARcHevbzfpk0dtCqDGrZ8OZ/HsGF6Ye9yAe1aeRAVZfaZHDpEszI2VlMLxj++c3P5LkTM9WHVnzWwdx5UPpSjGezzXTnCQ0TKiMjX/oJAh0SkjdP+cRUqcPRv325O2tDi3DkudZ98orM9Ll7kqlmyJG3Cc+dAj1zfvkyLNYjk5ORgPszCheBbffHFkDRMtZpY3YouiIShTg8ahIw/TwRe/K5drDGp1TzWrwdH+7BhJmNWzUvR+RS2b8d1JbLxxOP60TR8OLkTWux76UuIhNc3JXHI0xBRTB3yTp4k103XI2nwYAwaRG3McVVOSgKeeAK5ucHfaxWtAEBV0M+gcrnIAWzRwoZ+8c47ujqmPh9X+yJFDBqoonBchaTXgjO+Tx+c238J119PZ6utg/3UKY4t/4//5ReGY1u10ptiuqbThnewezdD9zVqaKJvH38MvPoqMjK4zS5alJLkQ9uq8WhTN9Eyu1mHrCzgwQevKOHxuYg86v9/IREp47R/nFrqq0sXxvFsRxg4ICZN4hKmaSaiKFxhixblBF22DIznFitmmV/hcgVf0Mz3FOp9tWrZVloHaI8WivFB/JXW27Wzv00oCu0qQ5PdY8f0kaOjR0EnQ8WKpuw1r5e+DF2a/6xZaBx9EP366GfVyJFcwbQHb2o5CnWuS7ds06nD/v34qd1/UKqU4vjoAQAbNyL75ckoXtyce6ODz0djfdeuALvW1uno83Ey+rUJNXPUsvfO0aMmuqhanMikpcyda0G9tLn+0KHI2rQbLVowP8m2W0NiIh0afg/6+vUcczfdpFeK7brVA8zlUZsxBTgjb78NvPEGEhMpNKOjreujnjiYhxtKXUDhGG/o6M/p07SX9uy5MoSHiJTyN32KCPeYatXiqC2cO8cMrk8+cY69Z2XRKH3lFZPtcOgQH74I8OgjCjI3/knhYTQoQYWkXz+G+yf9OwfKC+P0xSM1SE8PVlFXP8WKhVAXz52jw8CwfJ4/z5VKN0Eef9yc822FHTvQs+QaU+r7c8/R4abFT/Wfhoghg9gKX36J1wtPgkgIGjsAVKuGpX0XQSRET5q5c4Gbb4YnOQ21a5NrY2mquN3Uuvz9Kvfv58SxjBCdPEkhrwnV7N1L1X/4cM358/M5+x9/PDxP5/jx8H6zHD16cE0yVq0PID2dk9GvkmzdSkHTsKHeL+MkODZsoIZcu7bfMa0oJITMno34eMpQXcRFg22rM1ChcBpiS3lCR5+2buXg9ldfu1KEx00isk1EPhORP0XkYxEp7nxMXKB1Y4j+PGEhP59M3ogIerG3b4ftIPJ4gr6Ip58GfC57ofXee9RqKDzo4bZpeRrEiROWLnC1tkRgNU5PdyhvrsfIDntRpoz+OzUhSyvMvh1Is8WWYanit98woPFB2ybZKjZvBo7VvhMDeuSiQoUQroQRI4Bhw/DFQsUyOhTAtm2UFqtXB6yMypVtnKTNmtE+9b/L3FyWB6hY0bD/++9z3zCYo3joIeCttwKOR2PSmu4++/cPsBN372ZiX+3a+sr9rnMuPHTXBURHeEyCY9UqaikNGvjXPJ+PDosvvsC+ffzdZcpYa1wrPk5EsahcXF/NHbrf8OLFfJAac/1KER4tRcQrIq38f88Qkdcs9gs0fapS5XqMHs2VU4Se/R9/LFhlKSusW8dVoVYtZnvbnc/nY5cxERKhnCZFdjZN7mLFuH/z5pd/f23acCCFGwZU8dZUH0T0arJaVEdrc3/xcTZEwmhufeEC6tbxmTglWuTmBlm+ERH83Y4h7+nT4ctzo3FjFkmyfZdz5gS8rirZzXICnzxJGrumjqlq3phW6Vat6MMKFSZ55x2gfHnMGHfeOUpz7hw98v6w1aFD/E1t2+rD2lrm6PKl+muvWEFts1kzf17MDz+QjLJiBX7/nUKjShUL9nFuLuY9sAaR4kXLm9ym7nE6nD5Nk37yZNOgulKERyUROaX5+1YR+dHpGDVUm5bGRLOqVfkLbruNFky4TautkJrKBUOELhW7KupqPF2EXm4H1wcA+jbLlOGEMjbeDhdq3VELi8oRak1W7eT94AN+p10FVc6BVV1TLdRuc4YkZROMXI3ISIeIk8+HH3+ky0dXRNnq4giSKZs0sRHeJ0/qXorahNzUqyo5OYziJaAp+dJL+GFhGmrWhGV6fQATJzJE5HbjxAlO8ooV9SkSLhfQrmkGmaMv7DBN3lGj/D1VUsEBfcMNQP/++OHrXBQtalGLFRS4z7fZgAjx4YmBl5xZ9AcP0h6yiMtfunSFCA9QYGwUkfr+/08UkWlO+xt5Hm43E74GDeIvqVqVkY4CJbhpoCj0mxUtynCeEytZLbPXuXNoElNqarA58uWUUXS5qG2Fy5RVoTah0jI+Fy7kd0eOUNN47DEuwCoHwKnWp8osDRV27dBBLzxCdXK8/XbnRteKQtdVRkYwR0aX1m+DS5d43vr1w2rHY3vxXbv4/G+7LcR5/APhzBlqsbGx+tIKOuboYmsJ5PNp3Hg7dgBbt2LBAkb84uLMWbq5ucC9Pag5Pnm/y9lEVIuFvPGGibq7ezejYleS8LjJb5Ls9bebLOu0vx1JTFEYBuvUib+obFn6li43ye3gwWCW7ujR9qSazz9nUlvr1qGFgsr/uOeeyzOznn2Wkyyko1KD9HT+Bm1YVU0e27EjWF9DGxJu1Mj+fCqdOhRvRa2VIkK2o1MWu8qENYZ+tdi5M/heY2LoLAwFRaHbIzoa4ZUhNEBdEM6coQZRvXp4PX0uXqSyULKk/rpOzFEnTJ/OCM3tt5sXqdRUjj8RauIhzdq8PEt1bdEiLphVqlxBwqOgn3AYplu2BAujFCtGFVurogOBcpWOyM2lfyPU4Fu2jDZqkybm/i1GzJzJl+TEFrWDWvvTMfvTAsaK6GvW8Dy//cbfWKmSXkuwbeEICrDbbgv97Nq147latgztTrjvPkYirKq5q1BrxKqfunVD13ldtIhOyoJWTQdYOkSEKQ3NmlEQWBZnMiA1lYSxYsX0VQZcLv7OgggObfvU++4zm8cnT1KjKlQoEIAqMDyeoD+ofXuO33+08FBx4AAd5NWr04c1ciT9RIpCtbp797DqujjmlKj49VeqtXXrGlLODVArbEdGmnMTwkHr1lzVCqK5DB6sX6n//JPh0BUr+LfaxU41+5z8RrfeCmfOih+qBmgU2kacPs0JNWaM837abGCtKWQHtYl5mzYFq5quQs17UT/Gcgd2ULvEafkyqsZRrJhF+T8beDw0UUUMjdv92L6dgrls2bADbyYkJwfr+Y4YEXzvV6/wqFuXItjrdZ5Bly4FeLwnj3nx2GPUIGJiyCxVB8WUKaBeevZseJLk2DFbGvPmzRyw1ar5M3KPHbNcdjMzGdmpUEGj/ickhJUYsXA+oycrfw5DeuTmAqmpGDaM11Jx+jR/u0pTyc8HihVlmHRWiJaxFSoADw/OcXxWPh+dhPfei5DS47nnKDxOnYKjLaStBi8CjByaaXIKZmRw5Vc7+RUrBhzbn2fqHmeL5OSAXdCggf567doZXrnD+9K6ElwuoF1cDqKiFPv2mFocPYocf1E5EYbVjVred98BxYopaHNTTliEWHi9pqI2u3ZR04iNNbCSs7OvYuFx/fWsXD10qIZfboH0dNZwHDiQfOQjR3DqlN4WV6MAW75LpJjv0sWB9ePHjh0k/9i0OtuzhxOnfHlgxysrmDttEcI4eJCaSps2QH6uj/n3Tz3lfG0AeYdOokJUMnq0CqNF44IFQMuWmD7NC5Ggoy0vD/qIiaKgavFLppCuEWlpPG5q80WOmVVq+v0Xn3voybZBRga1wkGDQB3c4ferkzk2Fljz0hpL26p/f5qEqvP8gw9A6WRJPzUgP58nOH0aycn6MSLC9xkQCmfOcAyE8JLrao7aOEd1mDMHaWNfx6230gdlJchnzgQiIxW0rJiAi+84hab8SEuj6qlJHV6wgOSyatUM5vixY0Dv3lex8FDNlpUrubQ98oiz9+7ECXoob7sN2LnTshRfdDTww9e5rIRcv37oHO25c1mIU9vDUYOjRykUalfPx8ZWz9rq10uWIOCQxfz5dD6Eivvm5+PlGp8hIkKxbw2gYuNGIDYWq1bxOlozqWxZfYnGSXXnQ8T58n/8wfN8Jz0dba5x4/hMLz30NAWyjZai+n+2LTtDe8iG9ZeVFUyWS1u5lZPcQuusXTv4TmPL+nDqs3Xs2RAKisLkIz8Vs0uX4HkaNGDVtICWk+IvVhxCm3EqVmx5/SlTgLffxr59zDsy9mnx+YL9XXpW24Gs78IIMR8+zHv1ax1ud5Cj1LGjIWqzfDkdK5cu/QOEx2Vi5kxj704Eog1jxvgfqJPnToWi0INm4zlUM3KLFgV+mbbXNr6ndu368kswpBBG3cEze1IRFekLr/bG88/7nWB6R2uDBpyDKt7ovQUizg2+1YZUh1sMdvSY3nWXPy2/Vy9bGr3PRzndqhUY961QwZaCqxZ43rhBYXbYyJGm63u95pSA66JS4U4MURchLY0ELL8ms2dP8Dw//mi4zNq1dB6FkNquU6no1iolPMHh9bL3gmYhMtIMcnKCrUJG1f4B3j/D8Nz+/DNrGfhDc4mJFBgiFCABi8vjYW3Y//wnIJCvCY8Q8Pn4AHNzGX247z6aMMWLs/DO5XAxjEhMZIgtJsa+LJ3bTduzS5fw6pWqeGaMD/Xrh+aXICsLikKqvDZHrGNHfd3UqeOZ/etELnrxRWoU7k32YY6EBI6o6dPBLD0bIaNqQwsWgJpcIM9cj3Pn6Lvo3x9BLdJCEKt+HHUhKBThxqvdt4QOC737LvX3P//EhQs0o6pUsVBmL16krh+igbHLBbQvfwgNisSbeseasHYtPfcOXtSkJGDIIB+iI72Y3uQTKGdDeKBPngzWcPRrfNu28XcVKaKR5bm5HKADB5oa4F4THpeBI0cQqAretSs1SaeVOByojZEiI82NrVWcO0eLpW7d8JQeIGhChEyz9qNjR5pSKgYO1Fcee+stns+p0tczz4SucaoyYffvh+PE7dGDykZeHhz9J8OGMRR5/Dj4oGxCJ6o6LgIM7ONG/DdhlIBTFJIj0tORnc0IVLFiNlT6qVNpvxhMMEUJurRcLqD9TS52q385RJKQx8PYft++ti/9yBFax0Wi3VgR1ctWwAZw8iQ99hqV9KOP+Px699Y0FVcUDoCePS3bjPyjhEdi4l/PbdFiz55gcZWqVemNDicQY4esrGCEx66J9MaNwbL44f6Wjh25ooRTvWrpUn0W/6RJDNOp8/uTT6iJOJHqWremhuSEgQO5cjst+CdPUkC//LLzufbsYZQjVI8lt5vKg0gIersN1HyliAiHHsg2Ak5te/HKK/5u9VEKli4J4wUePGjy8SQlkXo+cyYzamNjgevK+7DlkY9CV+T2+ej/mzYNSElBXh41TRGOPR2Z9KOPmE5u05T4qhUeNWrEYffu4AQ7dYqStWfPv64lGPHbb0HadqNG5EUUNDFNhdri8pZbaF5anUetC2qs/GWHH35AUPUvINRiReqgUjUGp9yWqlWpCdjB6+WAD9W+YexYhmdDzYdu3biQhirnqPpEQtassMHLLyMYnbGBXVBP2xclIsJc+BkIr4cYQE1X68S/4Qa/xhUOPJ7ApDh9muNMhCa4buFTFE0zZWtctcJDJA4itOH79WPARRuLD1ftDxdqW5F69RDwUl9ucpvHE6ylqjYhBoKag7b8oErgcoLPx0hwkyYFF2pqTw+1fsfSpfzbzu/i8dD0Gj/e/pzbt/McVoVpVOTkcCUMVc907Vqey4myDnDxjo6mz+pyoOb5aJtWGbF4MUmGxlwatSm51klrvN+vv+bi9sUXzvfh9Qa1J1UQXU5h5nXrGK0pUcKhh3MIXLXCo0mTOHz+OaOfNWroX5wI6xyEywYsCNxurkzduvE6999/eb1dfD7gySd5jiefpNpbrFhwoOTkUKMsVSrkAgGAfhQRk88rJA4c4HHqoF65kn/bZe2eOcPtH35of87Jk7mPUxRTnaxOyayKwqzSatWctcm8PFLBK1e+PAf3779zYnfqpGfVaoXIzz9TQNx6q9lPq2Ynq5NdhOFidVzMm0eB27Zt6EVN2zJE/dSqFf5vURTS8Nu1YyQtLPKYDa5a4aH1eeTl0YNsfOgirCHx4ou0HS+HnmwHl4vnLVyYYdgJE0I2ETNBUah5aAed1hF56hQpJyEjKeCgr1KFUbmCQK2W/uqr/FsldmnKfeqwebPzdoC+P3+vblt06kQnoJNfR9WCbGg0AYwfz8kSTstgI+LjuULXrWsWPF260Pe0ciXfcfPm5mREtTSBSjTs1o1Bo9KlSSh76SUE/A2hxodKvlM/hQqRlhROVUSAod2BA3ns4MHhtbdwwtUrPKpUobF//jyS5v2AqCgFRYrQxhs+nGp/jx5A+1vyEBVJKnfpEh48OdyHhQtt7Of9+xku27Ej9JvevBnYvh3xPx0MmExVqpADYZoQa9fyXi304V9/pd2vDpiYKB8u/RBGsQ6fjw4KzQhRc1NMNUUzMx0Zs1WrkqwLAAd+jIeImZykQq1mtnenm2qLIQEmL48CVcc9URSdU1At0mzb3mHnTrjdNBFvvNHBSe3xYPeXBxEdTTPQEamppu5dGRk8f5kyhuJHR48iYdvFwDuJiqKgM6bAq1EVEWqJ6phShZ76uesufzRp3TrbH3PqFFMVRIDrayn47a3tjm0RAnC7gV9/xeHDPD4ykiaTpemVkeFc61eDr+akXMXC48Ybqev7XcmuFh3h3WoRwvJ4kPbLH/i6/5d4PHIuqsYkBhxRt99OwlQggS07m+esVo2eUafGLklJXE78NeB+/50qtghXf50/RKWQWvCM1XR/7WdmNYcSZir27aNBqwkLZGeTEt+5s2Hf2bMNlY716NAhmOR2ptP9ELEty4rvvmMi1qUEF5dGQ+s3VXPROS2//JIH+WffuHGckJZp7TNmABMnYv58CiFbbSIpCe7Xp6J5nXRUqBCim5zXy6VY43VUv2rY0GA6XbgA9OqFD6bn6N5J3br6+3W5gPY2zNF77tETEOvVA9Le/JDcEItZvX07Q/SlSwNrfnEzO80mAqLDxYtA//74ZtI+lCxJDcq2RuyuXYzThmhWlJEBPNgpwX/vV6vwUM2WtDS6wEPFKbOzgd274TtwCFuWXcC4cUFJL0IS1/TpwOGDPj7otWuprzpN4nPn6GSYMwfIzobPR9lTuTICzrekJHDA7NlD28DAOtq/n1GHunX1AiR9WRiptjt2mBrTqtET3QLj85n7QWowYgTDrwCQ8fky3Fgp2TaUrEO9eiZdX+WJ6EoSvPUWl19FgdtNAWd5O243EBOD3DfeRdWqgUOs8eKLmFzurdDRleRkVs4xeA3HjIE5srJiBSfY2bOBLFOtSfnOO9wt41iireA4dy64v/pvZIQP255bAiusWEGTqFYt4ODmNNod2hx+O/zxBzy9+uG1Z9MgQo3b1IsW4AOcPZuOtRDa9O+/5qBWyWRERvgwYbxyZQkPEYnyF0D+IdS+fxdJ7MgRqnmdOnGlE6E2MHlyAcJjBmRkUG2PjqZiMmtWeP6Ww4ep8IgAcXFKeM4/g/fOVvtwKDCiTvikJEDJy0fRIj48+2wY17bwSPfpA3NR5A8/DFx/2TJey1KjOHAAGDUK777DzF6nUgUHW9yHQtFeHbXeEu+8w1VC09tHbQk5erRmv6SkgPNKLUqkfm67jWHw/HxqHF0q70OLwvuxdKE+ASgvjw5u1dS5u20aPqg5BadnmZ+TovC5V6oEdLtLwcWJH1Bwhar7cOQIMHcuLg59Abd19KJyZZYrNOUiZWdzIA4bZs9K9MPtBl5+5DwixYvrq+YFnOVXmvB4RkQW/V8KDy3OnuVYa906OHDi4ihcLsf5dPBgsE5Cs2bhLSgAV6PChRl6DTeLXAtL7cMBalGglSv5d7164beE1EJRyBa9/37DBo1WOHIkBbWlME1ORpbLh4oVOWHt4M3MQZtmWYiNDeP5+LVCFb/9RqHetavhHt5/H1i4EK4MJZC527mzviaLywW0b57FmqOT9GGMrCym/4vQfM12eakO9O1rukmPh7VcREgzyJ4+hzcVqrDLuXNA+fLY1O01VKlCH5+tXBg2jGZ1CDPlyJI/0bf6NkSKF0Pv9+jG+RUjPESkmoisEZHb/1fCQ4tTp0jSa9mSC1I4EQ8rKAodaNWrkxvy8MPhdXtfvZqh23r1QhcjNsJW+7BBairf/htv8O/bbguv0I8Rx47BbApokJLCOeKUyPfmmzyHU4+R996jn8aJR2KF48fJC2rQwCJk6vEgL4/PLCrK3PbB5dIwR7/S21La1IOACyg+3s/N1yMjg4JLhNXBfOku/uhQ1ZIUBcpTT2NG77WIjlZQp45De4yFCynB5s61tfsUBZgzzYViEdmIjcnAd0vNadRXkvD4WkTiRKTT/w/CQ4twmyY7ISsrmKJevjyjMqEIXZs2caC3bFlwE2rWLA52xyZLGtSsSXMboOZQs2bBrgcE66Dalen78ENuD+RWGOBycXJ37Wp/jYQEJi06+kMskJ5OTS421jpp1+OhkiBi9lUGBYeZOXrxIhWMmBhrVqnx3ps04RgIN/yqIjPDh0GDaM717BmCLxKCeHTxIp26IsAd7XNs5dYVITxE5B4Rme3/v63w0PZtqVGjhuMD+v8Ve/cyMU21pUP1R9mxgwO+cuWQGqgOubnUdm6+ObxJ1rs3tRwgKOQKmic0ejTT6+1Cqx06OPecee01Phc75q6isGRksWLhU70B3s/ddzOcaiVMFYX0bREm12rhJDgSEvjMbr01NDlv+3aSGUuXRuhWngYcPMj7L1yY1PW/kr+1YgWjMoULM7DldK4rRXhMEZGzInJKRC6KSI6ILHQ65v9S8/i74fPRFC9ThtFOmwheAPv2BauSFaQ7nso6XWLt6NdBzQtxuYK5NaGKOBvRqZM+Y1cLNVVeJaMZkZFB1f/RR+3Pr3JMClrIeOxYHjdnjvN2f8/sAFwuamNly5oFx6FDjOiXLh26h87XX9P0veeegi0AAKN3xYtzwv/2W8GO1SIzMyggb7rJ0qIy4YoQHrqb+P/QbPlv4eJFckJsKhnqcPQoNYkyZcLoI+uH10s1uU6d0E2wVqxgaHHbtmBLhnCvA1D4xcbaN7KeOpXntDO/VF+HXSX0S5coQOPiCsYUVgsXmRo9Ga47YoRegGvbIxhzQ3bupCCvUMG5LadaGEyEQtVIMnNCXh6dyyK8j1AtLpzw+++MgEVEMIoYqkidin+G8Ah3NF1uKuzfcT4H/VCn5jv8llOnOAhKlAh/FfrxR77ZUC0ecnODTuEDB2gaFKSM/9mzsOPBAeBq16qV9bacHAqGO+6wP/9jj3Ei2/lLrLBlS5DibUUDUkO2gwbpX49WcBg1jvXrGY6tWdM55yg/nwEP9fxhsUX9OHUqmA377LPhlVqwu4d//5uO3Fq1Cl5d/YoTHuF+apWoiZ/umoHtD83EqRvuQPaYl6wdCKdPM8QxYQKZSVOm2GdP7dzJgg4jRnA/p5ZgP/9Md/moUaHb0i1aRAJEOGGTf//b0Zt27hwp1R07KljZf27IPHVFATq1d+O6kjnhhZt37kT+2t8RHR26fgaWLAnEMn/6Cbbh4SO/nUeH+hfxwbvWM0g1k377DVRNDFT6jRtp0pi4J6mptg6EM2fIoahd2x/dOn5cV+X3m284qbp21WtlgZqjFlXOV65kDlWDBhqf5NKlpoSX1NRgy4kJE/xrjKIwnSBEQZiVK4GyZRWUKpofXjZscrIlG3XfPgpsEQ7/jAzQUxxuz4ctW65e4QJeHzIAACAASURBVKGm5Gs/xYr6ULOmgkGD6Dl/6inasV8u9GLjV+cRP2As8kc8zYdtt8KnpFAgdO/unO2mKFzO27ZleMKphdjBg1z+2rd31nM9HhbxaNIkSLqwQGIicFMTDwpFuvFd/8/tz+fHtmVnES1uTH0jjEpGn38OjBuHRo0cSalE69YB8sobb/AdWEUBpo0i3fnURjMF0u2mI7FtW/8kGziQz8k/o91uoHFj7qOT0fHxTMr5+WfTOXNymJpfsqTftp8/nz/GL2jXraNG0qaN/vW6jl5AuxvTLJmjixYxojJ4sD/65nbTFnv9dZ0GeuQIx16hQpr6KllZVEMcqLAeT9AnMajqBhxbGoZza9UqXkxDLPN66dspVIh+kuXLQbVq1ixSnkPxBDIzKaXHjbt6hUfjxnHYvJkkx48/pqLwzDNMkBo0iKTCEiVgEjCdOlHl7NyZ9vm0aRTGe+1rE/9vEIJeeukSVdvoaAVLFoc2n4bfl4HChZXQjau8XmD1agwcSF+JI+bMCUycIUM4wa1wa9N0NKth/XvmzeN7CSgbt96qswfefpvbjbwLvPkmX6aBgKW2loyI8Gf+JifTW+mn8W/fzknVp4/+EbtcwNAbfmfpwPn6/P/Zs3m+jh39K/i+fRTwhryetWvpXK1Qwe9EVRQy9nr3Ni0amZn037z3HtedjjdnQQR4tM5a5JxxmOAeD29i7Fh62jWL4IkTCLRreOwxIPGiQs3w3nvDa0+3ahXv1V/m8KoVHuE6TNPTufr88guFzLRpHFytW9PppRUsDRpQsHTvTotkwQJGN+zsVY+HaflOhKb/JjIyOFic6qKqOHuWXvuQ2oQfr77KQeiYDqFRwfv04cJmREoK+4uMf9ks4Hw++hZuuskvg9xuHQnj7FkuAN27W7iXFi+21B6nTeO7DHRamDcvUFHp8GG+81q19Jwslwto1yIbURFeLJ8aNH0VhecRYYZ2To7/y44dWYlZQz/96COGtxs10igC8+fzSwv7Q3XURkYCZcr4UCwiG583nRY6DvvCC3QeaejKikI5Xrw4/TGffQYoBw5yJX3wQWcars9HjWj4cGpRGgfLP154hEJaGgXt4sWkpg8ZwkVFW74/Kor8hQcf5OD87TcOODWDNDo6vCTI/waysoL9RZzK5wFBz384BYO+/Zb7htsYulw560iLShyzOs/33zuTqwYOpI8hnDafAC2YyEg21A4IG/9kPHOGmlGFCnpHp65b/ZKghFKUYH+UBx7QzKnz53Vd17zeYI/Xrl017o/c3KBaYUBmJjUUji8FURFebPzX4tBc++XLqW6++25AcJ49GyyB2Lmz36126RIJKOGU1Bs/HnbJRteEx2XC7S9XsWQJn+/gwfqKZRERHIhazeXf//57CzCHi9xcrs6tWztXUc/LY/Zu/fqhQ7dqzY1580JfPzub+77+unlb//6sc2L1XDp3JlfCKpqgtmSw44VY3W/p0ixCZNSWUlKoEZQsqY/WOHWrf+UVXn/UKPt36nJRI1H3CzfopxYI0n4cGuoFoalKrSi85zJlGBmbNUtzn3v2hOecP36cfjtD/PzkSbXN5T9EeGzaRD/b4sX/3QmcmEj7fOJE2s7GQSDCbZs3h56gfyfy84NVpGyL7CBYLNlIiDLC66V2rss8tcHhwzynsQBzXh7NDiuNZN8+HjNlinlbXh5X07p1wwtxZmTQx1WunJl5mpVFoWqsPeokOABqKtOn20fjT52iw7VuXebUhQu1tIv2U6tWeA3tVFy8SNdEsWKc5OGUqQwHeXlk+RYpQhPoHyM8VBtShOXinGpj/h1QlGDrQ/Vj7FRWrBhX15kzqbb/t7USj4f+HBFqS3YDv3t33nuoauRduzIsHAqqlmDknrhcFA5WDMxHH6Uf08r5r/otHAJOAfh8NDWbNzcXJgaoPVaqpHe4qsxRO8ERCps2UessXTq8ewQojCdNosYaEcHgy5YtoaP8WigKuTflylEYTpv211qBaPHLL8GaMv5WvVev8ChSJA4NG1IdvfFGey2gXTtK5wEDaLu+9BJt2VdfJbf/s884sNaupUp7+nT4DLwXX2QN0uXL9ezBpCT6yEaPZiq++lIqVKDf5Msv/55OdFbweum4FGH2qpUAOX48vIrcaiFjpx4uQLBzfcieuX4kJ3N1s2LWJibS6Xf33eGdS6XVG3NStNCFY/0aR2zs5VUV//xzhkHr1jVVNbTFhQusWifCqH5BBIaKxMRgq8lbbvlrhY21SEgIFuKuV08vDK9a4VG2bBz69+cD7dePdryV8GjalN78Bg2oHt59NzUCq321PoyyZXlMp06MdD31VMFT41UkJtJxOHgwB63qZW/ThipvqOS4gsLnI89NhH2bL1fj2bSJ5wg1yV55hatpuGba66/zvFZ5Ho8/Tgd0OM/k++953QcfDI/sG8pUcYLPx0CHCCk74Qr/X38NlnX45JPLIzkvW8YoUaFC5NNcbiHvvXsZFTt3jgvk5MmcC0WLUvgaF82rVnjozJavv8Zzg88GIiMPPWTTd2TnzkB4ze2mynz8OL9eu5Yvae5c4LXn0jHykVz0789QaL16XA1N0j4rK7ziHEAgOcHrpbo6YQIzXtXCM02acBU9uCE5/NnuMIoUhVGASpXYRPtyBEh+PgdWKL/HK684p9Fr4fFQE7TSLHbvplB9+unQ5zlyhO+kRYvwmnz9FcGRmUmHpgj9N+HQxVXSV0QEiwQVpP+wiosXuTBWrMiM5HCS2ezgdnOMqcJP7T/Up4++4JEWV6/wKFeOUuKhh4B69bCndm+81u13nD5uWP5On2Zzl6FDGR+PjuboNNbQB2i3PPQQvXUqndCuNsLKlXQwFClC/q/Tm124kHbVo4+aznf2LM0nldwjAtxY/CReGZPhrBYrCkkbDiQTRQmmuT/YaHt49vGePTrdtXNnam6W+OorICEBgwdTjXfExIlARkYg18aozSgKtbxypfJx6T/vO6oxLhfN1fLFs3HqA4ceEOr+J5PRrmEKw7GhBEdeHns9+CMQ8fGcdDffzNVZpzl4vXzABt5/QgIZsyI0IbOywH1eeiksKa6cSsDC/ssQGxtMw7ddJ3bscLbZ/FD5KurHhpwb/F2ffHIVCw+t5uFEDdfi4EHLuHdCgqGQ04EDVA9CLTEJCeQtHzjgrEu6XGQRff+94xJ07hwwc+QhdGiQiIgIBc2aKrjlFvI3rCpfYcMGsoNCLL2vvcrWE4PucYVeNTMydMxJlSxm6Vx95x3g0iX07s0JZgtFYUMTRUH//lTBjbJB5ZW8f8e3jqqSolALiIxUsCama7D8mcPPub3aIZYO/DREObj4eHLhp00DFAXr1/Ney5Sx8BHNmkV71jADv/2W+5cs6e+Xe+QI31OfPs4LjKIAmZk4++ZC9Ki2CyKMEln6Nvz74rnnyDQN4UTZueIsIsWnEx5Nmtg4WzduBPr2hefLpf8Q4fEX0bgxFY1Ro8KXQ/9tnDtHaraqahYpwqjC6tWXZ4KoKfF9+4bhm9Asr1u2cBBb1gTxC6277qITzxYeD3D+PFJSaLcbzRK3m9rNgAGA5+dfHR0DU6eyd+uMoTtDpom6XEC7uFw0L3UcX70ZwpurVhrq1w84fBhz51JJrV9fxwkjvvuO9o+mQEhubpBUFqj8lpVFb36LFiFjzsqM9zC/+osoXSwfRYsqmD7dZnKfO0d1pk+fAI3c9pzf/4AlA76y9O/FxGjqtZw9y4Xw4YehvPYfLF+S5/chXhMe8Pk4kM6fJ/t5/37SzrdtIx9DS1OPiaGNOn06hfDmzaxstXMnFYz4eEYL8vL+/gx/KygKw7wjRnBFEyGF/t13C14c+b33eHz37uGniHu9tLmdqpR37EibPNzrawqZA6CfSSR0e9B16+gT6d8fUHzOD1/HHA3Hx5GaCpw4AY+HTmYRCkWTdet2U4vUqKr791PI33ILBWN+PoJ5LdOmmTztiqLXJE/M/x1dSm1F/fIp6NTBa1kmEQA1jObNudqFKDV44N8L0EVWQYS+oS5dyORdvZpjOTB2EhKA668H+vXDth8S0aEDf/tVLTzq1InDJ59wJXrhBboT+vThIL7nHqZiV6hgjqyoD+dyPqpzU/1ERzMqU706VemOHbl6/utfVPfnzKETdssWul7+Ks8jN5dh3h49KOQKFWKkYefO8M/x4YecgI8+Gn4i4IgRdJza5bncckt4DtPmzfnRIieH9nebNs7C+Nw5vs/69UMXow7lHHV6D4sW8d0++2xoDoXaEqVIEbq0nFpwavHYYzRrjh9n+4WiRRWULMlzOY6RI0dChvzS0oBnH3chKtKHMqW8mPmeYm9RZ2YCTz2FE8/OwqA7UwMRx9mzKSMLIjwiAMj/AhEREdVFZL6IVBIRRUTmApjhfExLsJypSEyMSLlywU/9+iI5OSIlSoiULMl/1U+ZMiIRETwmJkYkOlrk3ntFXC6et1gxkTvuEOnUSaRxYxGvV8Tn48ftFsnMFMnKCv6r/r9ECZE9e0SSkkQSE0XS04P32qCByOHDIoUKidSsKXL99SK1awf/7d5dpGjRgj2zI0dEZs4U+ewzkexskVtvFXn6aZFevUSiopyPXbxYZMgQkY4dRb7/nvfuhPXr+TyWLBEZONC8vVkz/o5ly+zPsWePyE03ibz3nsioUcHv335b5LnnRNat4zWs4PGI3HabyO7dItu2iTRqZH+dzEyRbt1E/vhD5MsvRQYM0G9fvJj3sGqV9e8GRDZuFOnQwf4aIiKpqSKPPiqyfLnInXeKfP65SKVKzseIiGzaJNK+Pf9furRIRoZIjx4is2eLVKsW+ng7eL0iH38sMn48x239+iKvvSZy3XXBfVwu/u4+fThGUlJEXn9dZNEikchI/p7nn+ecERGJiIjYCaBlWDcQrpT5uz8iUllEWvj/X1JEjopII6djGjaMQ3w8V5m/aj40aED+xZQpf705sIr8fJqSu3YFm8q98AI1k5Ytg3wPkb92zbQ0rl61avFcDRuS0RoqfLlwITWQ9u1Dr+ReL0O+/fpZb+/UicEsJ0yZwmCXNrKdkUG25J13Oh/79NP8bXb9c7XnM2oc8fEcH4oSZCF36BCaXeuENWuYrxMTQ79UQSLrDRvqW1E+/fRfH7+rVwd9Yx06WGuiikJKuwjH4uTJNGdULdSqzKFciWaLiHwnInc47fN3OkwzMuwn24IFrCYewsS87Osa7f/LhddLT/+DD/JNVq7MYIiTEFmyhBOtdevQyZcjR9J0sXLsN20aOtX/hhvMps2ECbxXJ7/fd99xn6eecj6/aqp06hQUHOvWBY9V64EOHFiwkoBa5OeTUdyxI39PQcxFIMgyNRITL1d4HD2qJrBx8fj6a/tzqSUXVYKiCM1fp4LMV5zwEJFaInJaREo57fd/VQC5XTsE/BtDhxa8+vX/AuvWBcvgVazI1dHOX/Htt1xBW7Z0Zk2uX2+/+t9+u3OTqCNHeKy2jmpqKo9zcsQePcrEuiFDnCNEdj6OPn30E/W55y7f73TwIP01IvRZhGj7qkNycjBpUSUyVq7MZz58+OXd08mTfG8lSlCrcxKIhw7RP6Z9FqNGhb7GFSU8RKSEiOwUkb422637tvyF9NX8fGoVO3bQvJg/n1GBV19l6E1tWm38VK/OiVmmDB1mt97Kl1m4MJ20JUpQLSxblkSrGjUYtWvdmmp6v35Mjho9mnTtuXOZ8bprFz3hf0cS3fr1wXaX111nXwXv++85uAYMsM9j8Xr5bKzU/YED6ci0g9r+Upv7opLX7Koy5uYyfBsba9PA2Q87wXHmTHCFFaGpECqaYwVFIaWjSBFG5ZYvL9ix8+bRNIuO5vPdt+/vS5CcNSs0tUDNojZqHVWrOh/HLoLhC4/oy3XW/B2IiIiIEZFvROQLAN9a7QNgrojMFRFp2bw5ZMcOkePH6a3avZuep8mTRcqXFxE6Ek+fFkk4kCUJe9IlYeNp8Z5MkF3SQi4WuV4uXiokqanB8zdrBtmzJyLwd4nCbvFKtIhEau6TTtYOHUSKF/JI4cO7pUj166Rc48rSvn1h8flEFIUf9f8lS4pU88RLZqFYcUkpyciIkLNn6cDKy6PjyojoaDrgbruNzq0GDfhp2JDOyehoETl7VqRqVd6UBTp0EFm9mk66SRMVqVQp0nK/e+4R+eEHkX79RG6/ncdUqKDfJypK5IEHLA+X8uWtf4OKH34QufFGOohFRHJz6bS8+246W00A5JlnImT3bjp0q1e3Pm9mqlu69Spk6Rx9/XU+exE+HkBk4kSRnj3t79OIxESRhx8W+eknkbvuEpk3LzynqAgd5M88I/LzzyJt24rMnctn8Hdi5Ej7bX/+KfLiiyK//MK/a9XieChShI57u3tJTRWZPp3O+AIhXCnzd39EJEIYbXk33GPirrsOmDEDKYt/xZbJa/H5qO14+UUfBg6kbW0sMSgCREd60bPWbrS5KQd9+jCbcNIkhi+/+w744/NDOP7ARKQ8Oxme5jcDc+agTw93QGI//rgmvL9qFb+oXJk09dWr7Q3OL76gqG/QgHRRQwwwP58RuD/+AL69fSZmFRqDF9v9hqH3e9C/v1n7iYmh4+3DulOZphmqIYiaUBIiOWL1aoYNG1VNC6/h02+/AcnJmDCBK7tVaDM9navuC112BJbcDz7g77BsH3HiBJbc/VnAzLCDywW0q3oSUZE+Uzj2l1+Cz6pwYaDrbfmYWu1dnFgURiOaefOAp5/GNx8k4q67qHHMnGnxatUSdMOG6RxB2dnMto6J4TicMwfwZeVw30cfDa12KAoH49ixoe/V7eYFpk4NfHXkCImvItR6p03z+70yMqhOf25dMDspiQ79EiWAiAgFA+r9eWWYLSLSXkQgIntFZLf/c7fTMcWLx+kiFqotWacO01OeeIIe5S++YPrHmTMFqH3g8wVGy5IlHB8mliHAfcI1fsPt2nP2rCXVPT2dZLXPP2fCVZ8+wBcLCqj/hqEvr1sHFC+uoH790L2XkZEB5OUFyF9WJo/a5W3jPDKfvF6+I7s2mMfnrkHJ4l60bm2fHeByAd1uy0H9kmfw1dt6m2bxYppgxYszYS8/H3Sa9OgRuqbi778jLbo8HrhxJ0TIPbGUt243WVc1a+p4FytW8CsRTenQFStof40b5xzWysoiueTee0m0cEp3WL+ejK8+fShoFAXx8RynhQpxYXnpJSDtVDrtzKlTmaf1xx+m4XrxIk3I4sUVREQouPeGXdg/YCJw9OiVITwu51OyZByGD6c9/f33TOH+v6zcdTVj40auQHXrOvsbVKjEKqtEvrVrOR9Uwf3119zXqm5pfj73LVvWPtPTjjmqKMH2D+3ba0LCmZnhNbb1+bDqhdWoVtmDqChGgmzzgObN44zbuRPw+RAfH4x6NGqk0ag2baKTa8wY53BWbi6dU5UrhxZwixdzlXzyScDrxZkzdLqq/rYxY/xCKyWFHt7OnQM3pFYJ27ePa9RTTzGCFhnhw4jq3+HAwIm6smRXrfC4GtpN/v+MzZvp8L3lltBzLz2dRYpDJd0pCjWOOnWstcBx4zgK/cXOTbBzjup6nhSwOxvARV8N5TZoYN/y0ojcXC7qxYvTST51quEZhHsjCQmUlqFitikpNFO2bsWF+Fw89RQFRkwMWcAB5TYvj6rH+PGBplhax2m9etRQoqIUDL15H47c2Mcy4/ea8LiGy8bWrSQf1awZfpUwJ+zaxVR1q4bTGzbQb2LX6NpOcKSnM3pVogT9VwWNZGzcyHQGlbAVTm0QRWHU5frrEeCRhKOh/Z147jk+i0cesdfSVBw7ptYkDX6GDAFOnlAcbflrwuN/AJ+PK+FnnxWMD6CFx8OJkZpKX0JSEv2iFy4wPHf+PDXh/3Zd1B07aEbUqGHfpDpcjB1L56mRT5KeTgFVp441Cc1OcMTHM/wdHc2ePAVBVhbD5BER5FusWRPecQcPUlipJsp/u1auHZKTYZ9Ap4ExVKt+/vWv0McWRHj8T0O1VxMuXhSZMoX/HzGCuTPdujFclpEhcv68yLlz/LhcDAlmZOg/OTkMrW3YYH2NuDiRnTv5/5IlmSdRujRzd0qXZg5NlSoideuK1KnDT2xswX9LXJzImjUiXbow92TtWpF69Qp+HkDkq6+YB2K8j1GjGHX+/XdzvklmpsiTTzL0qA3Hbt3KsOv/Y++6w6OqmvfZFAKh9yodlGaA0BGRoljoXUBpitKkiqgo1YboR1EQUaRIVUTpKChVinQIBEhIAUIJpGzqtjO/P949e+/dvW1D/D4Nv3mefQi7t99z5sy8886M3c7Y7t0IMZuVP/5gbPhwxmJicO4PPzTO70lNZWzWLISYCxZkbMECXFdwsPnz5qaUKuVhJPgIEe7x448Z++03fJc/P67b6USukN2uf/xLl/y7nv9XHg8gnDN2/TpjV68ixi8kMxP8gO++892nWDEkeTmd+LtyZUkJFC2KpKZevcBTsFiQvCT+DQ7GgE5J8VU8t2+D9pKQ4Hu+GjWgCCpXRoJWvXrGiXSNGkFpyBXIo4/693yOHWMsLg7JWnLZsIGx1avBwWjRQvmbPMntxx8Z694d32/cyNjgwVCO27eD/2JG0tKQ+PXVV1CqBw4goVBPRMLZTz+B//LKK+CQyBPO/inicoFXMns2EgjLlWPsk08Ye+01jCcj4RyKeMEC/OuXmDVR/gmf/5Xbwt3tP7duBTO0Xz+AdCEh6uah+JQoAVrzvn0wN/8bfXHT04Gs//wzKOqjRoF7EB4uXVfRoijy9cEHuDY9n//8eTBVy5c3XzlciAD35EmAovRg8+a+kUm5qyIiMyKiUrw4frt71/z5t29HTorFAuaw0fPnHPvUrYvn1KaN/7ks/kpOc1wyMhDdrVkTpShq1AB3ySxem5aG/UUR8fLlBQP4YcA8IiIwIqZP1680m5QE4sf27frb2e1EFy+SM+EOnTvloG++AfHniScQgZArhapVOY0YAQBr6VKEJuPjpTyIIkVQEvO/UTjIrHAOvGD1avBh6tWT7ueZZ0A337JFPfQdEQFlU7as+TwflwtZqN27+/6Wne1LsVZTHBkZUhHi8ePNT4yEBNDCGUNxnz//NN7n7FmphWfNmsj/+Tvf39mz4BkOHerffrdvI6BSsiSutVkzYEJaFJGdO1F4WhQ4io4GtaRmTeBGTZog21q897yrPGrXBmNu4ECwwurUUa/GkpUFNuj06WBjFisGE0Clu3r02TRa/9YpmtjiMLUJPEShlgzPpHr6aSiPUaPAkDy8I4VS1++Auq5YEfnesjjdokVAwm/fJqCcYtl/5x39HPwffwSatXChMbFs/Xrcs5kl+Px5XWT9/n1YUxPGcypZkhNjGJSjRqGYkXzyXLqEFP0yZcxV9BZJdevWGW8LxcEViuPGDVhLFgssD8+12O2a5B6XC6tpkSKweGZPSiZbtr4GuH6daNRIkKVKlOA0f74Bd8jp9A+xlm3LOQh5os9soUJgeHr32FWTtDREpUJC8Ey6deV08KC+gvvrL3A8GMM77dIF+wYGYrHwfsdEeVl5VKkCZhh3h5u03vKdOwh7XL3q1hDomuxw4IH+5z9SeftqlUBFD8nnohZ1UuiNUQ5avRrsUp93efw46KeLFxsTA377DabJRx8Zd/z59FPUCdy/33i5GzEC/oYZLvmECeot1bwlK4vsq9bR1i2c+vWTBlyNGspC7ZGRROXLOql0KRedO6d/yNRUopUfJxjeutVKNLhvBgUGuDyK49gxmNGFCqnwPyZPVo37njsHbhZj4Ehd2ROHg2hQsxMTsQKHhHBqX/kKTSy4hJLOGdRgiIzEitK7t76vxznK43/wAdGwYeRyctq0CVaCSFicM8edcHjxIjTzpEkI12mIy+Gi8IZOer33XbrcdxqOr3P+a9GcShS2kYW5iDEsDKVKEU2bprI+2WxYlPr1y8PKw0/MIzsb83HGDJik8rh3tWqgE3/3HbgIZvpy/G2SW/0Dc0lSU/FcOnTwrWly+TLckVKltLNjzYpwVYKDuSdzdc0arK5Vq6p4mdnZquQThwPvs1QpuGXcxWHCHD3qY8+npsIgLVwYuUtD2sdRzNCZsN31QJEzZ6CdunbVLwtot2NgBQZS2mdL6Ysv4BqEhACbWLxYpnf27YNV3KmTfgw2M5Ood29ytmoDYoteXtPOnbSy6QIKsjh9MDhFNXirFSm606cDxNuwgchuf3iVh8OBVeujj6AsxApaoQJSDcaMwTMym3LiLZxj7Mp7oD6McvUqOt2XKJHzwkZqGAcRPLcnnzRud+ktf/2l34srMxPV1wRW0KuXn+0bzbZsu3WLYvdG0eSJTipaFOdq3hwAtuIQVissqG3b9Mk0DgcStt54A/URNCzTrExOq4f/Qa1CT2kC+G+95d742jUUVM6XzydT8aFSHlevArTs2pU8L4sxsCTHjYPZa1QxS0uEsli+HItJ5crkybbN6THzikRFgaVZqhSq0vsjWoqDCM88p60V1SQtDUqjeXPygMNGqSQ5Ec7h4vXujfERGIgF/ciR3D+XXCIjYTwIzKpWLVDmL12CZ3vhAqzvzZtlyjUqChmQMovX4SB3c648rDzS06GsR4+GTy6URVgYMNF16/xvTyCXu3dhOk+cKCkL4af26YM+sxER/6xIipFYrYBoVq5E+4aRI4E5d+6McOTjj4Pt2bAhlEGNGogcPfUUlLJWq5SoKBRIKlHCvALRUxy5KcnJwNaFpdG+vW6jPdNy5w7cOXHtaWlYvBo2BMBbrBjKFv6d1PX0dLiVTzyBe3vqKVhSOenvExEBFnC5cmKs51HlUbhwuKe0WmgoBv8XX5ij7GqJ3Y4ci3fekdB9xvAw+/b9dykLhwPU8hUrUHKuY0e4F3LTtVUrTKjq1SUF0a0bLKsJE5SK5cknoZQ1WxSSfwrEakVG+d+pOO7cQbJd4cK4386dRkrVzgAAIABJREFUc2/1T0nB8xBg8siR0nkaNHiw1AQj4RwuuWjhwBhqqn7yiTnsXC6Jiahv2rQpecpadO2KdqB5VnmEhobTpEkIZOS0oC0RrIvvvgMGIl5EYCBWxFmz8JL+YRimqliteBbTp2M1FIBwq1aIVDRpQvTSS3CZN2+GKft3AMPR0cYKRFgcFSpol0Z8EDl9GqHMunWxAPTt++CArlwyMoCXyqugBwfj+R4+/PctLjduwA0R9VBDQ8FSMArTekt2Np57167gd1gsINB9/rnSUv/XKA/G2LOMscuMsSjG2FSj7c1GWw4exCBt3RqEqIULsRpNmoSJJQZArVrQ5Js2/TswDLsdkdc334RVIWpTBgRIgPC6dcBp/tuWklAgxYv7KhCrFe5Rmza5a3HYbKgrIgpW58+PLPPIyNw7B+foAa4GQI4YkXvnkUtaGrDRjh2lsdq5M9wjLbqQWg93gcOMGCF1HixXDvNAS7H+K5QHYyyQMRbNGKvOGMvHGDvLDPq2KJRHZiZG6dGjPqP199+lFyxfKRgjCg/nNGMGwrP/Blfk5k1kj/bsKVlJYsV77z0M7NzqO/OgEh2Nla14cWWYdc8eTOzcUhzx8eArlC1LHhfis8/0K8H7K7GxoGvXrKk9lurWzb3zEcE9HjRI6nhYrRresWpFO7dwDsszIECyRs6cwWJZuzYIc6GhcEV37TIGo3NVeTDGxjDGips9oOkTM9aSMbZb9v+3GWNv6+3jUR7Xr8PeEiXM3ZVrHA6kWb/2mveL5lSO3aKdI3/R1hico5RU+/aIaen5RXv3gjwyc6Z+TDEuDttu365fHINzLKOpqUQpKXThAgaEWFEZA3YxYgRCfkYNm3JT/PXhY2IwUL3JYf765d4SHw+w98kn8cotFqzGO3fmXomC27fBJB46VHruTz0FF1c0GktORgRj167cb8lx8iQihq++as4t4VwqiMQY3FTRHjUwEEzW9ev9Gy+5rTzmuN2KjW43w2L24AbH7c0Y+0b2/5cYY1/o7RP+yCOIf02ciISFgwfJnuWkPXtACxcFkENDOVUqkuJh1j1dO5YyTmgE9a9fB1rarx/RgAEUN3khffqJU16ZTZJLl4Aqdu0KP0Fv9Bw7hhqS+fKBTqin8letogusLk0vu4TqVM/yrHKDBoGafe6ceyC5XIgFhoerN2SVi8MB+/SLL4wBnMxM2P9uktS1a+DKNGyImp4KycpSt5G9ZNcuoob1/ABYVK7xyhXcvwD2GCOqX4/TJzMyzBUqOnvWUPvdvEm0aL6T2tZOIIsF4+WJJ7AuqFZTO3cOpoDRzHY4AK6ZIay4xwa/m0jZ2cabE+fE7ybS4MFKS4gx4BhffSU7rdNp3iSz2XLfbWGodN6JMbberUg+ZIzVMHsSjWP2UVEei1S2k/q2lC1L5HKRywVuy+uvQ2GUKQONPWAA8IuMW6m04ZMYYgyJWbovJCGBbh+5RosWIb9CvIQvv1TZNjoaCFZGhnHx1IgIBNZPndLcJDISAG2dakJhcGrb1qA3x7x5UExmZOVKg5t3i8NB8bsiaN485URt0QKrvWKepKcbotVWK/YtFmozt+o5nWSPjKaTJzHwhw9XNm9q2hTK7PJlkrqIG8nhw8jm88qK4xwu1eLFSsuuXkAEzRh5iy5c0NALLhes3Xz5wAjVewZRUXgArVoBhNESlwu5Eh06YPHSo5xHRRF/cwqdfHk+vVt3EwUH+jJIGSM6fNCFAsn79oFYNmAAfFs1uXYN42PHDro58E1a0mz534N5MMbCGGPzGWORjLEljLHTjLG5ZvdXOZ7fbstjj4XThAnISRPIc//+MOW936VIQtJa8JOTMbfkwGODBkhHeNDqWXpy/z4UkyAtNWtGHoXxoKa9v+JwAIEfMkQafI0bA903KnMn9vd2T7wrgN28aRxdiY1VljcoUYJo2DAoLoMG8abk9m2wz19+WWppUaMG+C2zZ3FzTNN796C0Tp/WJ3FkZcH3WbhQuzArERTHokUgD02Zoul72e1Ef8zaT5OKLaOqwdc9AHnduggK9OiBdyZwkvUN5uCPOXO0BxTnxJd/RxcKNacP6q2hptUSZQood92WNxg6uu12WwvB7u8DGGPRZk+kctwgxtg1xlg1GWBaT3+fcAoOhtewbp3//rjdDoJZ374YrE8+CUBs2jRzmaI5Fbsdi0HPnlILwPr1kQ+XU6r8g0hSEs4tSHDVqmGs+cOXOXYMbs2wYdJ3aqUDhw+HMtBr6eByAWZavx7G3YMA2S4XLLq1a+F6CF4GY+C39O9P9O23//36o/5IYiKiLf36SVGS5s2RO/ntt+qeEOeExL4rV3BzKnk6NhvA6/FDU6hp1bue59KsGRbNCxdyX3nMYoxV0fitjtkTaez/PGPsijvq8q7R9tWrh/vd6ZxzeA7jx8O9EYNo7FiwLv/OiMvly0gCFUzA0qVxHf+rSM+lSyA2iVWqbVvUrfCH05KSgpCwxaLkbGjVHI2Ohms5ZUqu3gq5XJhEp0/Dghw3DkBqoUKSsmjUiKhdO7g8J078/bVfcyouF65vzhxgTALsL1sWynnTppxH1BIT8Xz69JHq0oSEoMbHt9/6KvV/Rag2Jx9/smoTE+GiCnJNvnyg8P7yS+71erFaMXhv3JCOmZ0Nq6hdO5w3KAiTbcuW/13m7okTwFmLF8dzGDLE/3wU7k5ULV8eg3vsWGlAp6bCivNWHEK6d4cCyen9z5+PCE7HjnA1ypXDuRiDwhAubKtWeNbLlyNc+T/NlNYRzuEaf/UVJrWg0DdogIjJjBnIv8mJsnM4APNMnw7IRyii8uURxfnlF32L/aFQHmlpwDQiIoAjiBIfO3diogQH4+569oQLmpscACGiWpX4BAVJf1erBmbnfxvHkMvx4zB1GYPimDfPuEulmly/DgUgVnN5KRNhcbRqpR0A+vlnuIdmSouoSd++eJ7Nm8NlfeUVBMgWLMBkiIj4dzCCnU5M4KpVpXFSqRKU+fff53ysxMaiaXqvXpKbY7HgeX34oX+K6KFQHu+8o5y48u7oJUvCPdCrOpgb8tlnymsQn6VL/7cm8tGjWHUE+DhnTs7N3o0bMSA7dIAlJweg1VyVtDRflywpiTwY3sMuTz4JkPPLL6W6Vv5KQgIwnREj4HrKFdHw4Sg7kdPF8qFQHkgf9v288Ya56OSDSHIyJpJ8BbFYgGk8SHTg1q0Hu/YTJ7CyCQX60Uc5J5RZrRJZqlkzXzBVTXFwDiXz4ou+x6tbF1bQ/4v/cuMGXOHXXpMKFjMGDKNzZwR2Ll7MHRwtTyuPGzeAolesKDgZnCyMU2go106E2rQJTvPo0fqzKTISqZEffKAaBrl4EdyS0FCcu/XjqdS6MWqeFiqkUxhHUBM1JC4OlxYSot5ZzUiuXpW6pDdujExLo/J/enL0KEKZAQGgR3tjB1rg6Pff4xoWL/Y95pAh4LY97HLuHNIntMRmQyRr/ny808qVJdaoUBbz5mGh+DtctTyrPIoVC6fAQEzcTmVPU9/apzxgqFdBJEhsLGKA3brhqespjtOnEccrUUKRg845wlvPPQdLo0ABTkNbR9Ip1pCob186+Wc21aih0UXs/n2EWqpWBWnJS65ehZkZFMQpONBJw6vvpavva1eLIiLQHjduJFqwgG5ft9Po0cBaQkMRclaQP+12nNdMiIpzciZbadYsKIXKlVGqwFu0FMf9+7C8mjdXd9lGj8ajfVjF6QRbNigIjaZdLriAERFQunPm4LmK6neMIdGwb1/wyI4fz90iSVqSZ5VHSEAYTQ3bQdE/ItZ5/ToAvJ9+8noCCQnIWx4/HvFSm01bTV+8CKUxYwbYRO5iyTYbYu0NG+IplSlDNGt4DN19fjAc1vXr9YGNTZuA3A4d6lPv7sIFEP8CAmBtjGl7luIe74x0WSPb8+mnyVquFk0fc48KFpSap/swUu/fB1gxdar+8YiI4uLoVrOu1L51NrVuDbdDzVCyWonahGfQE48l+oCjr7yCa1FYf7L01mnTcL+ajyw2ljhXV1gKuXDBXNpsYiKSUszw2M+cUYaPtCQ7G4UwRo0yBrUiI6Et/viD4uIAKMvd67AwKBEP1yIsm1o2sNLEiYhqqfJ/rl7FwIyN1a834HSC5yHCOnrPS4w3zokuXcq7yiM8LEz7IcglO9s8Qmi1KoCGlBSY/YLFWrcuslqzsggruFlbUYSAZMrg0iXoqfBw1N6YPNk96ZOSpMwrHXE6ib799D5VKGOn6tUR7dHLuKR9+0w5wr/v5VS2tJMKFECYU00ki4PTxjVKP+bgQTyryZO9dpKde+5c6DLNtBjOaeVKHGfKFJ3H7HB40MCsLLyrrVuh8xXzOTsbCTZ67DQijBNRPUmvCKrdjvBOjx6wZFXMALud6OoVTtsn7aXPys2lEQVWUa1yqarY3OOPE03oHU+ryk+hc6wB2ce/ietVk3v3pA5affuC8q5VFu3333Hwbt2QHPX+++qKJj0dxxk6FAvtwIFEs2blYeXxNzrNt27BwylcGKnMHTqgPUpuRE2uXkUKfUAAlMbUqf51PiNCKUDRVKplS/PpLXriciG3JiAAfrVWdErLVSHCHK1bF26OHn9g3jxcu55Ot9lgRTGGjFBh/Rw9qp4iBEak9ClQAJjPoEEIUa5bh2JJJ09isTahn33EbocRExUFnOG33xDpmDsX4HyPHsi9EfwXeTOtkiU51anDPa61ANYZk6Wx2GxghOqBVAkJeAjbtmlk67nl5k1Q3mfP1jfhrFYMwq5doVxkoNb/Kw8/JCoKKHZICCZR//7+E6i0JCYGmEZgIAb25Mn+K41r1+D9CB947drcQdXv3pU6v6ul0AvRUxxESAlv0wbjWk/eeQfHMHPtS5eCp1OrFjy+9u1xnd27+76b5GTAOsuWIeG5Uyc8J8aUBbHFJzgYzM2uXaEw1T6dO4M9K5i4WlyeIkWgLDp1wnueMQMK69AhXwq5zYb8tBEjoGjXrzd+Dv8L8Ud5WLD9v0OaNGlCJ06cyJVjnTmDhsAbNzIWFMTY0KGMTZ6MZsgPKrdvozHyjz8ylpyMpsNvv40mxGYlI4OxJUsYmzYNTamnTmVs0iTGQkMf/Pr+/JOx995j7PBhxhYtQiNni8V3O3nTaXm3eiEHDqAJ9rBhaAytJ6NGMfbDD4wlJpq7xkOH0PA7K4uxZcsYu3yZsc8/R1PvHj3QJPvxx7X3T0tDE/L79/FJSlL+W7gwYzduqO9boQL2L1YMzaK9/y1bFtsUKWLuXv5NYrFYThJRE1Mbm9Uy/4RPblgeR49iZWnbFi7KlCk66e9+SkoK3MjQUKxQ06b5Nk0yEs6xwleqhJVz6FD/j6F37EWLcG1Nm+pWCyCrFW5z5crqFkdSElb4mjXNhYX79YMl4Y/Ex8MNadECIeN792BlixyNXr3+njYKD7Ow/3dbfOXAAXQKFKzLjz/OvbqlWVnw6UuUwPH7989ZRfeLF6Vmy2FhudMqQEh6OtwTxtCzVO/e5a6KWjo958DtgoKMu24K6d0bz99fycwEt0Yk8t28CcX13nvABUXG6Xff6Td8+3/xFc6B9f32G3glr7zy/8pD8XD27JEovGXKAOjKrTJ+TicwCNHeoFMn/dVcS6xWRGmDgmBtLFpkLqa/fTv4E0Y4wtWrSLqyWMAn0AOBjTAOIvJERT74wPgahVSpAqWaU1m5EhZd6dJSbZvkZACPdergeooVQ1DCr05w/xJxOnOe6Od0Ihq1fTtSKl59FYpcLHbig0p8D4vy2L8fMfehQxVhNs6hTXv1wh1WKOek+SMiKGPGXGOTwG6HBtBBTTkHj6x+fU5VKjmoZUt91qDecX74QbI2hg0zl7iWlgaQV2Ri6lkR27ZBIZUooR0JFGJGcVy9Cjbtk0+aj1onJ+NaP/rI3PZaEhEBgNJigXsoFCznGAovviglRHbujGQxfwHqf5pwDh7TI4/gmWuJ3Q7w/9dfATi/9RYyjB9/XEk8E0qiTRssPAsXosyuGHd5X3lwjuB+z55wit2gBed4EKJ+RqVKRN9+ZaesqTMwqr75Rv9NRUQgltqqlWZM8fRpoo7tXcQYUfWgWPrhnVPaKz/nyMUfMwacetmSf+0aaioIi+XPAw74KfPm6XZgP3KEqGZNThYLpzdHpmnmwrhcQP/r1OHUsqldN8JHJBQH11Uc2dlwETp18i+HZ/9+3Kde8yizkpEBJSvcQ+/ruHMH3A+R8RwQgCLGixaZK7wUFwdrZtMmhMO9ujL+V+XSJcnVFtGjDRvAOH3zTbihQ4fCqpMnhoqoUrt2GGOTJiEapRYF8hZ/lMe/L9oyYwZjK1Yw1qkTY4MHM2azMVa4MNu3j7Hp0xEBqFCBsXfecrFXAr9jIX/sQrijXDnGGjRQP7DVCig/Ph7bDB/uA6XfuIEIxcqVxIrny2DvV1vNRs6qwPL16aZ9wadPMzZ2LGMhIYzt2MFYSAhzOBj77DPGZs1iLCCAsdmzsUnQ+DGMff01Y7/9xljbtj6Hcjiw7QcfEHsk4CZb2XoZa/vHDNUwidXK2MsDneyXbUFscOntbMnvj7EC9WtoXmZaKmdjOsey9UersO/XBvpEVYSMHcvYF18wtvmto6z7xy0YY4ydOsXY+PGMrVzJWLVqKhfCOVu4qhgbN46xhATGypfXuIjMTHOhJJeLscBAtno1nsedO4gYvfSS8lEQMXb2LGObNuFz6RK+b9mSsb59GevYkbF69Xwf3+bNjPXsqfwuMBBjqlIlxkqVYqxoEc6KFrWwIkUtrEgRDJWiRRHBYQzvNSCAscAAYgHkYgH5glhgIGPZ2YgeZWcr/3Y4GEu6Tywp2cKSkxER+vNPDG0tCQnBNT31FGN2O2PVq+P5i38rVsR1+yv/+GgLY+xThlqo5xhjmxljxczsF168OGxRWTWfQ4ekVaZ8eZhhWZGxYO/8otNqQcjx4wgFaLCu0tIAztWvT5QvyEmTG+ykpLPxxuyxr75CKOfOHY8Vc+iQRCLq0UNWCu+997A07t2reqjISBCfGCMaUusQpfZ7VdMyiowEVyEwkNOCYu8TX7BQ9zKtVqLWDVIokDno57XaiOPGjTj/xC5XYEURHkHLlsCSVF2nJUuIEhJo2DBgFbqvYtUq3ev0yPnzKBBCsN5EMaCePb1W1bQ0uLTu93rxIrhTjRpJ+5QuTdSnt4sW9/mdLtbpSfxaDHEOV+fUKRiNixfDRRo8mFPnJrcorNBVqhoYRyVKcAXngzEwh9XYpIxJ1rDap3iQlfIFOqhc0UyqWxfbVqokEcrkbUSOvbKU7s9fRXyrBrFGdKn6+msUUFmxAhRgNUlOxrZ376KC0KpV/3y3hTH2DGMsyP33J4yxT8zsF964see+T56UalY88wzQYo+173KZp4Y6naqj2uUCSFehAs4xdixRTJQf9qvM1k1OBjmoenWEPn3q4mrYxZxjDISGwk/9+Wf3hWnMwq1bEcYsVcpdeCcxUfc5KDCO5drx1qtXEdZu0cIN2rnBBgGcalHahYSH5yzSoimye3I64abkywfyl4KslpGhijLGxuKaX3pJ2cu3XDlOw4ej3MK+fRpU+vPngbpzTpxjzN2+jdKhZ89iXP511ElHvz5Lf760mA59d4UOHMDCIeonR0biGu6cv0Opy3+k7BFjia9c5cMe5RxzemCvLAoOcJKFueje8CkIHarF7zMzUULs0Ufx0Jcvx4LkXWXI5cLiVqwYHtrEiVD0v/32z1ceigtgrAdjbI2ZbcPDwykiQgJCS5TAwHnQEJ3DgfBfbCxSpl9/XUqDbtpUNSHWtGzaBIsoIAAYhNmizffuSe0HOnTQT9HgHMrTYgEEZKbyuRlwlAhh6IYN8azl+EJqKsadVhatEJsNys8n7yWX5exZKXQ7caKp1jJEJOWOLVuGZMXOnZVWQfXqGG9z5kAxXbuWcwwkKwv4T05qtty54+c4NBOasdl8etD825THVsbYIJ3fPX1bChasRxYLVsHp080PED3Zvl2qhyn/WCxEq1fnLLdFRGM6dMCxGjZEXoRZ2bsXiXnBwahyrncN6emS2zZ5si7W6hGzioMIicmM+dLPJ03CMzIiaR08COq/Fn192zYoptyo+padDU+xXj1YjG7vxm+5dQt5TR98AH5KjRrSYiXAyNq1YfmOHQvFvXUrFh41Y+/cOeTBCLq8Txb4f0k4h9KPioIV9PPPMEBmzMCCiVKT5pVHkP+QijmxWCx7GGNqhOx3iegX9zbvMsacjLE1Wschoq8ZY18zxlhwcBOaPJmxKVMAXOWGVKzIGOfK7/LnByU7LMzcMRISQD+PjgbmmpAAXI8xUOAnTGAsONj4OHY7cNt33mGsdm3GtmxhrHFj7e3j4hjr3h3A4Ny5oNer0czlkpYGqrgW5VwuK1cy9t13jH34IWMvvCB9f+kSYwsWgNbexABa27GDMaeTsSeeUP89MBAAYVqa/nHMSEgInnfv3ri27t3x98KFOkCtipQrB1r+c89J36WmMhYRgU9UFN51dDRo9OLaq1ZlLDYW91SmDNIerl/3Pf6+fR6cnxUqhE++fNgvMNANtgZKH5cLz9BuV34cDnxSU4FNW624FvF3/vyMXbyIlIDERMbu3cN+jEnHFVKqlH/PiDH2v7M8GGODGWNHGGOhZvdp1Ch3E+MEz6JgQaXVoderR02OH/e1XBhDZqdZiYqCixQaitXeyBU7cACAX9GiWCXNiLA48uc3Xv1OncJ27dopCWucI4O7Vi1zHIqwMJD0tOTAATyrX381cwfmxW4HryQkBM9o2bK/p92FAFj//BNjacECJAEOHw6QXQsklX+Eu6X1EQ3O1T7yrnfiExoKl/KFF4BTde6MkO6UKbBkV6yAxX38OKATuYfD/gmWh55YLJZnGWNvMcbaElGm2f0CAnLvGs6fZ2zcOMb++IOxOnUYi4lB2Oyllxjr0sW/YzVqBCvl7Fnpu5EjYY2YkbVrGXv9dawGq1YhIUxPvv6asdGjEZbbsoWxRx81Pod3kluPHtrbJiXhGkqVYmz9eqygQlasgEXy1VeMlS6tf86bN/FMPvlEe5tChfBvRobxPfgjwcFIJuzVi7ERIxh79VXGtm1DwmK9erl3HosFz0HrWaSlgUKwYIFk4R4/zljBgoylp+N3mw2RapcL27hc0odzjIugIFgn+fLh3sTfoaH4FCkCS6ZwYeX7+lvFrJbJzQ9Dv9vrjLEz7s9XZvbzYZhmZWHp+uAD/cpKRHBEz52j5F+P0/vvw98vXhxFwRwOsPIaNpRV7Lt+3dRSdf48UdOmqNkgQnfFi5ur/JeWJrV6bN3amHjlcIBv1qSJst6FkfiDcbhc8OWDg5FEKJfbt3FvbdqYw4KWLcO96eEZV65gm9Wrtbd50P4rnIMf2L49nsH48bmDl/kjp04hAPIg/Wv+G8L+TYCpPx8f5bFqFVC7WbP0n8j9++SqUo2Wl3+HSpdyUfXqKDrjUzhK0DJr1jScZbaDx2hm690UHOCg0qU5rV8vhS6/+062IedQbB9+qBixp08DdLNYQPPwuAanT6uWzktKkmjsb71F5HRwU40+zDBH5TJ9Os6xZInvb/36ISR66ZLxcYgAwFWurK+DExK0z0eE11GlSu64HImJCJlbLOCmLF/+322R4XIZ9gj/n0veVx6XLiGutmCBcc/IXbvo1FMTqGWleGIMpCbV5DWHA1lDzzwDx1BHTu9LoWdL/0X5LDYa0MemICf5UKCXLMFjds9cztHUukoVJHR5GiHFx8OkaNfOZ0RfugSMITiY6LtlDijNpk0B4+uINdlJLzweT4EBLmPFkZ1NO8ftpCJFOA0e7PtIt23DbcycSTCRDJbu7GzQCF4fph+XtFpx3E8/UZ/FK1bg95MnDa7fDzl5Uqop2qxZ7lRl+6fKtWt4Z2azvPOu8mjYEPHIceOMSfpxcZTUfySNbnWKAgI4lS4Ni0B1pTl5EhTFrVuhRDSUkc1GNL1/JAVZHFSutIO2r9KpeelyIU9lzBgwXQluRs+eeOrPPy8DHDMykOnWvbtPB+ZduwD4lS7tTtGPi0Ps8N13dW/faiVqXe4q1bRcpR9WGJBLzpyhK7VfoKL5s+j5533BWqsViVl16xLZTkfA/jYwBX75hahwATvteVc/Y9BmA6j3Zf/9qr/fuQNLwU1qhcI0UwDZ6STavFmXgLdqFVpXFi7goFd6J1FcjIEZEhWF2PT58/qIts0Gt/evv4xnLed0bPMNKlXcQfXrw7ocNAjDfN48VFbfuROA7MUzNrq57wqlpxtbYmf+SKIX+3NPzotmBrTLpXhGeVd5lChhuNoSEfHoa7TiyW8p/HEbBQRg/mriA4cPI8vIoKLNmTNEYVWTiTGigQNcxh25Fi5UhDSOHUMHhqAgFe7Ge++BCCIbEZyDGh0QADQ+Ntb95dixWE507F+rlah1SxcFWpy08X3j52WNiKc6Ba5RqZIuVYLZzJkoo3j4MMHWHzfO8Jh9+hCVLphO9r365dBFxu3nbX/WrEPQogUMLSKC8pw71/D8RITtDMJKqalEn0y9TyGWbArJ56I339TBq+7fRyGTAgVU2X52u7vcQ0ICqPFBQfD1tCQlheiNNygyuD69XmYTda9ziVq0wDiRZ8IWKMDJO6ISFOCkEiUQSXn0UYyRpk05hVW+L9tO2q9+fSxcPXq4P08lUdfq5+j5AnvpmWpXqH3lK/Rk+St5WHmYqOdx4YKUu9Cv34PXI7Xb4XcHBSH85S/xiHN4Q0FBcFWOHDF3zhEjsNq/+KJ/DZz8AUeJoMS6d0cujFpZAZER+9ZbXjvpSEoKQqRjxxqf//p1HH/pUu1tPvgA2/jdy9UPQCPugpUGD4aVU7w4FLyqfuZcc1Dt3Yv33LIlDMM9q25SZpyJePbdu8jo9lo8UlNBAD18GOH4tV8m0ZLxkfTxx0RvT+U0ahTWvb59UfXt2WfXn/0gAAAgAElEQVSJGjfmqsqjXDkokPr1Ucbh8XpOCquWQuFl46l5WCa1bm6ntm2cD6fySEuTCuqUKAF0/UHBsHPnJCr8gAH6lfnV5P590dQJ2t5MBOb+fcAejKG4sD/34K/iIALWzBjSvL0lPR307Bo1zNPqiYi+/RbHNIMlREZi2zVrtLc5exbb6FVUSE6GAWeGYasnZ89iEjIGsHfNGvPNlq5cAcejRQuJtZwvH3guM2agMFVuFaLSE87hsdWuLVkqZjsRPlTKQ14shTFMViM4xEhEd698+YA1+EsaI4KFUbmyVEbETLTg8mUAo/nymU8yFZKaimxMfxTHli1YaQcNUr++MWPwTPerwxGa0q4d7sPMPZ84gXPoWXSc4/326qW9zd69OM706dJ3UVEAXHMie/fCVXr0UUzC1av969hmtYKINXky8o0aNCBP2kO9eqhJsnQp3OG/qxOc0wkvs0UL8xb4Q6M8YmPhWxcvjpeTGzU/r1yB2ckYfER/K1FxjqzMoCD4rmYL9O7Zg+iEBxj1Q4TF0batecVx8SIyXZs2VV+t//gDz8AEvKGQ+HgvgNNAhFuk2q5TJhMnIsFQzxLr3x/uksAoX3kFmFFO2asuFxamsDBcY06UiJCkJIDfM2cCLC9ZUrIKChXCu3v9dfCODh70j4fCOeZCbiihPK887HZgYaGhoJYvWfLgxBuXCyU1ChTAJF6zxn9uQXKylAnbrZs5N4UIq2NICFYko4pf3pITVyUpCVSWMmXUiWlpaVB8NWv6n7E8fz4mbFSUue23b8fzMsKCli/HdhER2tvcvAkq97PP4t2lpcHHL1HCuOvkp59ql73wViK1asEyfJDJKrJ5v/8e/ZfatMG4k4OilSuDYj57NqzX/fuBxYpGhCdPAouqWhXb+2utqkmeVh5Hjki5AF27EsXFcoTONArpKES8MS+tEB8vKkeDXXnjhntbP3KvT50iqlYNFsfnn5tTPE6nlLX6+uvmO2QKyYnicDhAZQkO1rZwRF9ZrcmkJS4X8JHOnc3v8+OPSOvXUwpE4LowBjxFT/7zH2y3aRP+f/UqJmXDhtqKMD0dCiEwUP/dyZVI5cpQrl98kXtV2znHWNy+HXk5AwZA+VWrplQqok6r9+fTT+GyPwihLs8qj9Klw8liQbr65s0EJlLTpnCI9ZqvcA5CWa1aitHHOczQokVhwXz3HRE/fwFQ+fDhxktLRATx96fTkrmplC8fWhporqAnTypmiNUq1Y4YN052Ks5NmR9WK1HrVi6/FAcRzH/GQB1Xk5078fuMGeaPKWT3bjIEP71FTHYjMNrlgnv6yiv62zkcWFweeUSKUu3YAVdq4EDtiZWSIlLSkYavp8hdLkzwFi2wfcmSwFq8sTa7PXcYrA4Hqp/v3g1l1amTuvKQQrsY6gMGIFr3xhuwXr76Ckr1wAEo47t3fYd4nlUeFks4jRvnRqyvXgXg8e67gMj15JdfYKa88Ybnq3v3pDaOrVvj5ZDNhvJSVasaxwW3bqU0VpAGNr1MjMFUVp0AiYlwaJs08byp+HgM8MBAcDmICL+tWYMl0gAoSb1np9Y1EswxR61WLKcul4c+P2aM+qb3DkdS+bIuqlfPgEbNORJdvKR7d2A2imI3Bv7khAlwP7nLeLl87jm4dkZy+DAswE8+kb6bMwf3Pn++9n6cY/UODAS+YVRjhHNYZ126SBM3KAgcDRFt6dLF+HpzIhkZqH4uVxrff4/7mzQJ4duXXoJ1pNZ2U17asEgRDPnGjfOw8nj88XBMsrlz0XzCKKySnAx/YN48+AjuybtjB+LewcGIqjidhJhhjx6SY6knW7bQxecmUp2KqRQQwLV7obhcUG5du4KAQmDTlyuHF6ZohZCYiLc3apTuqa1WonaVrlCTgBO08RtpeXQ4VPhQp09jCf7sMzp6FLhKu3bq85mvWUt9iu2m4GCu2Xvmo4+I9u7hyO328mmuX4erM3Wq18XOm6d7P717I6JhhkAzcyaRxcIp5Zxx6fZRo4jy5eMerMPlAqDasqVK9MiLQbhvHzg9oaGoVu4RHTPizz/VrYARIwwv9YFk1y5gVzVr6m+XnQ13/PRpWDBr1sAYnzEDa+pLLwFfybPKI7xuXUxwMwUsdu9GuETWASg9HVwAxhCdOXOGpEKhw4YZI5x2O9Hbb9OaPpupYEFOZcroRAlSU2Enb9vmsZV/+AFtAKpW9egSSEwMENZr14hSUzXZsJ5ixRYnbZgtUbRdLik7V1Gqbv58oi5d6PpFK1WtilVQ1TpKS6Pvy00ixrR7q5w+jdVqfLsz0BJexI/338fvCo9r6FD4STrSrBnR009zmBQGoa1ff8U9/vqMfu4RESZKgcBs6tdeOmZqKsz5cuW8DMtdu2Dfy1DehAQYtvnzw1XKzCTcXNeu0GJeaQRin9KloeCE8qheNo2++EKD3+FwwG8bNgzH1PKpRAuPd9+F2ej17NPSZI/u0iWYIO+8o1+70uXC3Fi+XJHpmHeVR9my5lg2UVGwU2UO3bFjGDghIVAgHtP64EGEO0ygTNnrfqLR3eKpYUNwKvTeDS1d6lFcnMPCYQyouo/FP3eux4o6fBjRAQH4CfFkxwa4aONa6b44l3AMOceBMjOJ5s+njHROjRsjHKhQWDKJO3KTiobaqHVzhypGzDmUXsmSREm//uXDOLLbEUZ9/nmvLxcu9L0RLylfnmjYIBuyjg1CIklJRI3rZtH8rntMgdnv944gxmAVCDl3DphA27ZeONPAgT7Zdw4HiHpisbl0ifCCatbUBEWOHJEAzSZFIqlZqShiDFGg0aNVgOHsbAzIp56CBtaSrCxQlZs0gVL+8kv17e7fByW3cmVovcGD1XuGRkUBrS9ZEv7mkCFEQ4bkYeWRg161DgeUemAgLPicdHYjwkLTvDl5mJ9mQ8M2G7BXxmA262EJv/4KU7lWLWUIVS+qIqjbY8b46j/OsXpaLMj5UxOXC+OrUCE37qMiP/2Ec2iN102bkDSndQ4tsdlwbf6AsxUqYJybkbQ0WBktWiifjcB+zFLud+5EHY6CBd11RwxIGN9+i+f51xEHkc1Gx44RvfwyyH916yKj99tvvdIOZO1EdMXsdtnZ5qKF2dkKRfivUR6MscmMMWKMlTKzvb/KIypKQsQHDMh5Y+tff8XgKVxYXYmrSVISBqkApt57Tx95//FHrFhhYUrLRE9xiGz/gQPVjz1zJn7XyyP75BPSjZBkZ4OiXq+eevCJc7geNWr4X1U8KgpgnlHrBrm0b493alYEVX79euX3I0bge3fCs6HcuCHlTA0fbhyeVVtc7t7Fu3j0UfKQw4YPh2X0d5RIzIn8K5QHY+wRxthuxlhcbisPzjEZChbE4Fy71r8HeOsWQnEzZ0rEndq1QR/Xk5s3YQmKptLC79WjVRNh8gQEYEWSKzirFYBi6dK+iuOHH3COF15QH6g//IBzv/yy9sA8cQIKq1cv7W2EctFiaR48qG+V6MmOHdj3gH7irUJGjcI7MTvZnE5EtqpWVUaBsrKATxctap7Q5nAAdihdGgrdKMinJZyDYzN0qFQ/t04dAJgqUMp/Vf4tyuNHxlgYYyw2N5XHvXvASYsXBwbp78t45hlp0ss/ZghcCxb47le7tv4+X3yB7Z55RomDyS0Ob9hg504M4P791VfAU6fgorVsqe0mpafj2ipWJM3yAgkJGNR6pK/u3YHR5IQo9emnZIrjIZeFC7GPPxm2v/2GEiSff678/to1cCbCw/3rpbJnD6IxISF4fw9iNVit4Nw8+ywWA4sFeMzSpdrv5e+Uf7zyYIx1ZYwtcP+tqzyYrG9L5cqV1e+Yc6ILF2jPry6qUMGg34nLpTtShg71VQBGeRdCsrOlZlHis3Kl9iVPn47JO2SI8pLkiuOHH5T7HToEwK9hQ3XX++ZNHLNJE/2I86uvYqDqYUAvvwzT+soV9d+vXMExpk3TPoaeDB4MwNQfEREXTwU2k9K+PUKa3uUNfv4ZxzNTPkAud+5IHQu7dvU/41pNrl5FlrNwa4KDsQBu2OBfVvODyD9CeTDG9jDGLqh8ujHGjjHGipIJ5SH/qFoeK1dSds16NKndSWIMk1eVpxAVBeChXz9d0Onrr0WoDZ3omzUzWFmOHSP66y9FRCUkBP8WLy5b+UVozP3nuHHYZuhQJZaAQj5OVcVx5gzM7Nq1MXi9JSMDSqNgQX2TWgCgCsDQSw4dIg84rCUjRwIE9LvOhlty0oYyPh7XpVXzVEuOHMF+au0wRIqAv82YXC5EWoODobD9VWhaIvJWRDJgkSJ47716wQX3N43BH/lHKA/NEzLWgDF21600YhmaPsUzxsoZ7eujPI4epYj2oymsRBwxBn9Y1Xx2uaQ3oRFSyM7GZGCMqBk7QgWDbcSYTgTBaoWvUacO2dOyPbkxL76IcGDZslAm5HIBoq9Xj+jAAXI4JE7GuHFK68iamE2tq92gQIvTR3FcvYpjVqrkjsTcu4cwhRvwcLmkyIoPCHj8uCeufP06okbh4So61OUiio0lhwPA7SOPaK94ifGZVKAAAD9d0dC8TicsqAkTDPZXOVyHDpIS2LBBvRaJmnTuDLzEGzi32aB0ixXzPzGRCItV7dq4n5kzzQdEzIjTCUxo5EhEjhiDwn7hBWBluWHxyOUfrTx8LiAnlofTSXzOB7Skww9U51EXVX6Ea0/yxESEWjZtUqVUE0kTijGiN2v9RI41G2jPbie99ZbG2OcczMlevSh59zGP+TptmqQMPNZESgpG+0svUXa2VFxoxgzlsa1WoiGPn6BA5qAflinJajduAPArVcrNNbhwAf+RsTfff598IytOJ2ZZWBgR5+R0wp8uXlzFFUlPBwHv5ElatAjH8lZgHrlwgWZ1Okht2xontGllsl29inN4fr50yXQeeu3qdurbF3/ruj5ePsrp0+SJfCnE5aLoaKzwzZrlbPKnpQFMZQyK2WyFeX/E5YJFOHEiqtIJ/kj79njvXsXIciR5W3nExVFil6HUrcUtD9Co6dsfOoQJoUVgIJiaHTsSFclvox86LTOujW+zge2zciXFxnCqVw+EMUW7BSG3bgFRvHyZ0m+neZSM90pptRI94WaO/vIf5bXeuwefulw5Wb/bGTPg77gJc2vXkscFUgye+/cR+nErmdmzsZ1qgZwJE4jKl6c7tzkVLYpnojoQo6MptWwtKhaaTd276z8q2r1bVnxUKZs341o81caGD4eFZCRJSfRU+Uh64gn897PPcBxVcuq77/qgjn36AMdRbL93L9GWLZ4IlSaGk5SEl6dTruynn4hKluRUIJ+DFs+8azyZDxyAj2mkseLjYXKmphK5XB7XZu5cZce5qlWJRo/itGOLgzJTTGpBmfn7r1Ie/nzCq1enve3nUIVyTsqXz5Pvpf4wPvkEKloDHBW1RQMDOT1W/BZdnL7eWG0nJSHj6MABOnECE7poUY1qAFFRUBw3b1JKCgDQJ57wXYjliuOHdUoiRWoqzOmQEORbEBHYnTLtc+QIyInt2qmMv5EjMSGzsujQIQCwAwao3KbNhms9dYpefRU+vObKeeUKfVRjGTFmkL/HORImNDLD3nsPkZy0NIJLFRqq3/lJyK5d9GLQRqpeDS9eAKiq7+C116AtZDd88SKMNnnSHKWlgYe+eDG99x7cD0XekVzGj4c/p7MgJSQQdWqWRIwRPV8tQsvghcTEgCRTurR+aPD6dam35OLFPi87Ph5Do0uHdAoNyCTGiIoEZ1Lntqn02TxOZ896zZWkJJBdSpdGyGnvXqLk5LyrPMoVqUMWC9cGRYVERenSotPTgZsyRtSj7X1K/c1k447t24miomjLFoz1KlV0zPb164mSkujuXaJGjTAhvd2Ay5cxgQIsLh/FkZkJpRAYKCuDyLkifBMTgwhCjRoqK29GhifZLCkJbOUaNTTAths3iP78kw4cwMT6+GPtR5Bx9ByVLumkTp20t/HI3r2a6QTPPIMVk4jg4+3apelWKiQykia9cIkKFOCe5F41a46IoFm2b/dhrw0cCOtDYZTMnk10+TJlZqKGRtmy6qA0JSYi2dKAccg50aKXj1H+IDuVLs31S1kmJCBeq9MvKCmJKOmOHRV/1q7VRYyzMjntnLyHpg2KoUdLJXqskjJlgMl9+60bN+McY+T77wGgjBmTd5UHY+E0YsSDha2uXsXgCAhAEpi/PuLChdi3SRPjKEN8PMJuBQqAm0GEBWP7dgxg8VK9K0Dduwelosf8TE3FfRQrpu9fcw7eS1CQvldgs4E6XaWK/vMVzZv1CgWtWyfLVlYRlwsWW04zToWrIuZvmTJw2czK+fPkwZ20fs+fH6HYB8UQIiJg7QnCXk5ZztOmkQeg9rcBVnw83OqBA6EUGQOwHhaG433/vdSsLM8qj7p1/c9tkYtooFSihP91LZ1OCTPo1k17gonukmPHkidWLxiUc+cClJPzQOrWlfY9cwYRGNGoRysS4XCAVBQUZMxBWb4cA8ao1cmHH5JudMnhQJ0Icd16Eh4Oa0tLLl7EMfyhpctl3TrsL6y+jh1xTn+kWzcAx1p5ll9+iXPo1f8wKzYb3LTAQETLdu/2/xjnzoGbExqK62rRAouOv+0rubvw3uLFeAby0oc1a+Zh5ZGTxDgiqQUtY3BX/A3HZWRItUmnT1dfUe/fB45aoYJSOcgVgAjRyj87diC3QVTXFp8iRbSvRyimr7/Wv+4zZ4CX9Oypn1cTHY2VtkcP9d9v3ZLyOhiDC6QlFy6Qthvhlu++wzayagl+yf79cHkEDvTuu3Dx/KnadfQorkHLU+AccE2+fA/e+0fI8eMSiXDkSP/68QhJToZCE20VSpWCBW22naS3OJ2AAD7/XBQ1ehiVh9Opag6kpCBaIcxGf/t63LmDMK7For8Kbd3qqxhq1FCavXfvYrWTKwibTUpwk3+mTFE/j+g8b1Amg6xWDLAKFfTLZHAO87xQIWBy3pKSArdAfm21amkfT/TOUcUL3PLaa7AAtSZ7SgpWVbXrIZL6uIgkRfH8tLbXkg4dAHprrd6JiQgDt2yZe3VKMzPx7iwWJBzmtOK/ywXafffukiJ56im4IGpj3Kz79XApj9hYOIQvvOAzCi5exIMNCgJWwSMuAi03E4Q/fJgiVx2j6tXha27erLGd00l08iRxLlkn4iNf1axWoidaOigggFOjRuQJrRLhxXbsqNz34AHft719O1bC0aP1M1hFeYqAAFmURkM2biRdSyE9HVEi+bVVq6b9KMqXNy69FxYGwFRLjh0jXRcqJoYUbs+uXfi/Pwl2RFKvFz226u+/Q3mOHu3fsY1k/35RuQuW5IPgeDduoDRD9erkIZEFBGDRq1MHC1ZwMMaPkTw8yoNzOOtlyvhUuvnpJ6ymZcq4y85dvAgtose3JoIC6tKFDpTvS8WLo1qYauczUT25dm2iX3+l7dvhIoh6kQEBUrEg651MeqJqvIc5mpWFWkWi9s3XX2Ofhg3xb9GQTHJYlcvH2bO4n4YNZebugQOqBXREmwJP7xS7XbU5dHIySFE9eniR2rwkIwM1Y8S91a5NqmaDmMSa5DL34Rs00HdrBH1eK6J27x5+X7AA/79yhbT5KzrCOcDMp57SV8YTJuD4AvTOLUlLk1zQatXMNQDQE5cLyq5ECaWyFx95USQteTiUh+gsv2yZopap0wlD5LHHMDGuXycoju7dMaqN0ieXLqX1TyyiWhXT6dFHdcL5aWlYYgcOpI0boZcaNwY+8MorUilSq5Xo6ZrRYI4u8a25umEDTNjnniOynb9Mv4T2p59fUhYNSUgAtaBCBff9ZGbCgqpXz8cejYiApdS+vXtC3LwJfsCZMz7nHjECSs5DPtu9WzVOKyqc//GHO5XnmEt1uwEDsMopHvGffypQSeHe+eSBOJ0eRSgYrlqRW1tiKjEGBUyE81ksXpXUiEw1VhGWl14J1awsPOry5XOfDk6ENQBgJSyEuXORYnDmTM6jM6K6nPzz7LOI8uq5YHlfeQgClmfUQ5KTUQqPMRR1zc4m1BAdNMg4m8jlIj71bfq4yyFiDIfXTIm+dw/L9YULtHaFjQICYNp7L9pWK9ETj6dQWPFY2vifGz6H2bMHg6VNG/cLfestvHXZtf75JyZGvnyylfjePSiEL75QHC8jA/T3KlXcrFvO4RvVreujZESntkmT3F8cPoyL8UqzTU+H9da+vfsLzrFc9u+v2C4pCVaRopKe1QpbWqZNJkyAheaDM6xb5/FD3n4bl6KKiXBONGEChYQocaFHHgGmpZBlywxRSYeDqHIFO7UN19/u9Gmi4GBOvdqqs0ZFIyaPmOWKuwdZRoZEOff+/PAD+R0z5hylUcUx2reXWrIWLoxhsW+fr8WVt5XH1q1gungtARERAPKCghCG4i53mqtRCS8ioqwscgweTiOfu0aMGZQLvHEDMS53yObyZegmb20uFIcac1TInTvIzUhJISw37k7OTidWng4dpJffp497J4cDIaOoKJ83P2QIFM1vv7m/uH4dN3NDqbiysuB6VKsm87XXrIEl53Xjc+fi/B5gT4AgCxcqthN1NhSRiS+/xAuRDfywMJkiEuJ0wlR0Ey9eflknonPhAlGBAlSqFKeRI6Wvn3ySPJR1j4wejRx3A/l0ehrcpF/1q/GLrOmVvbco7ik7G0NSuFFEBB+qfXvjfqMnT4I09NFH5EpN8/B7xCcwEGFaunYNmX1jxugnFKWkYOUcNYocW3ZQly5wdxMTJbdm6FCiKlU4BVhcVKFwKk14+jz9dRyku7yrPMqXhyPvpQw2b8YDKlvWTV7KzITvsG6d/osjIkpMpPRuA6hzm2RiDIu/pq65cgUmiQET0oziUMjy5R43ID4eE0cQecQA8izekyerkjsEzuFZ+Z1OUOlVEn+mTcO2Hq5LaipKlnndeGoqaO+DBsm+PH8elbllk4e7i5/7pLEsW6YogZaYSAp3wyNZWVCIbkuyQwdEOFTlyBGiZs2o2iN2GjhQ+nrwYBDY5MLHjSfe8WnD+ojJSZwKsnR6ual+lp/TSdTm0TtU2pJIMQfjFd937w4X0APyOp0gY/Tvb2w1LFmClW/nTk8IWXwKFEDkiXOC0qhfH7R/vbJ2d+7AMu3ShVwffkz3rvia0BkZRBu+TaNuFY9TPgsyyGuVT8vDysMrRuhyScQtD75BhD+8XBotufX7RQpvkE0BAbIGTFpy+LChE2q1urvVB/hSzjVlzx7PALt5U9kEWYTgiAjbqBSNOH0aPA0PzkEEBapCKT13DsaAwsS/e1d1MIo2FYpHGRXlE/sVtT98utCdOqXAHX78kbSBO9lJWrYkT9asqpw8SU2aAGMR8s47mLxC/+3bR1S8OKe/1pkjQIwdnELBwdyQNXztQgY9XiuD2j9pV+ja9HQQ1QoWlLmXKSlEe/ZQdrqDXn5Zu3o9cY5x5S4oMngweUL9zZrh72eecUNCaWlQDprhP7dkZ4MHcPSoPtLLOSXFpNA3X2RR+3q387DykAGmKSmw4ho0gG/nL9OOCBHb554D38Lfyt9qkprqVhwqhXz8kRUrlMpDq+M851JkwkxRHqcT7k/DhsbA3+3bmAi6k9gtL78MP9qI9DRqFI6pV3ne5YIiNOKxNGigJLUJt0notchI8isCc/UqLL0PPjDeVnBtvCAnunkTDNKKFZWe4rVrAFtLlVLFrX3k1i0Q+86exTtbtAiWdWgojJQHabBtJHleeURGImckKCjnNSQPHEBkoEwZY7fUjFitKGDcrt2DKY6zZzER69eHxcGYVyMnwv1u3w5XWSgYMxW55s3DtmZ6yY4ZAyVoVPQ5KQmT/fXXjY/ZqZNhQzzTlcLCwgA9CdmwAfuJ1d3hgELVItupyfDhII0ZtdXgHJGL0FBfZueZM5jojRoplemVK1AsxYvnbLzFx8OzK1IE9370qP/HMCN5Wnls24YHWKqUCgHKpBbZsAEDq3Zt31Ds7dtgkvqjkPRqjvoj3iuX3e5LjeYc7okcE2HMeEW7cgWTvGtX43uLjka047XXjK9ZFH02onALLsaiRfrbCeKWUc5Oo0bKwsx//IH95MGiBg30izd7y7ZtpGCu6sn16+C9PPGEL0a2fTtcqNdfV8It166h3kaRIuY4F97COZLFK1bEux85MuehXC35VygPxthYxthlxlgEY2yumX0qVAgniwUDR94UiS5cwJPUzdNHBGbeSHTwat3a13SPjoafGRpKdO2y3RRl0Wolat3MToGB3Jzi0ADv0tKk+qNGE1HQ7cUnKEi/lozLhWhE0aIGXe7cMnAggDqjbV0uMBhffNH4mELJ6JTBICLUpGDM6/2qSLly7h63bomIwH5yjLxfP202rJo4nQCrO3Y0t71oHuVdlZ1I6hczebLy+/h4cDoKFVLpmWtSrFbQfAICECRYsyb3+r7845UHY6ydu0ByiPv/ZcztF04vvugVFo2Lw2w3KH/tyHLQ2JrbiTGi3t3tPhjJ2bMYkCVKEB2ZsQujTrcIA5H1ppVaPxKnWnPUR2JjsZSrpHE6neCbtWjhxl527dJB1xC1QDYkeqIadY5fvBhvWqMioELOnnRQkSJeDas1ZPduHNdMDZ9OnZSTXUsmTwYPRC+6np0tKU7h/4tIjjxcOmsWVmh/qN8CgNeqGC8XzqHICxRQd+9EF3tvIPnmTUSm27c3X5lfTU6dQoSLMYCsuVH68N+gPDYyxjr6u1+tWuFKDRsTA8f3l1900brMTKLujWOpVdmrNKHLVZ+BefAgVuWKFYki/soAqjhwoK46t1qJWle7CeboF1Lo1uGAaa7wm2NiAGTMnu1zHM6BLzBG9OV/bCBrPPaY5uwRAzY4iNOi8h9QmRJ2XXAxNpaoUH47PV0z2nh1ysigZ6pdpurVTfQM2bGDOneyU5kyBqTdrCy6++dVjxmvK4mJ1K2bskyBmixZ5PAoD1EbyeWC2/jOOy6mI5QAACAASURBVNJ2m37kvtEiA7l5kzxEKjOr+a1bqAvbqpWvUelwIEoSFOTb4uLWLbhVISHm+rZriQBUGzSAq/nWWznL1hXyb1AeZxhjM90tGPYzxpqa2U9BTz90CNyERH1iT+JdTi0rXyeLhdOC+b6jYetWYAG1axPFnk0BRfPsWV3UzGol6tT0PtUtekOhOFwuhOAVdGfOYWPOnKmaNyKo3xMnEjgZzz+vm2svSFsLmqwiatGCONemMXBO9Opz8VSB3aCYXwzam1mttKv+JE0zXCEnT1J0uVZksXDfYsLeMmECNX8MHBrdHrMJCURTp1Ldukog1FtsNqKKRawe5VGlivSq2rRRtpOIWHGcmjay04YNBtfoTm4UIo796qsqkY3YWJ/dhfuiIIm5LcyUFChDtaLTiYlEjRpxypdPnx5vRu7ckUo+VKoEek1OXJl/hPIw6NtygTG2kDFmYYw1Y4zFMMYsGsfxbfq0ahUwDoOisVGRDqpV9A7lD3aoViVctQphyyZNiO5euAOmj4G9arUStXbXHN3g1a3+9dfxRBUGxowZyJNWkZ9+glndsyeRK81dNCQhQfOt79+P1bVPx/vEXzdGy0TC3ZK+vxuybJ33U6hBwWiqXi7duHvaq6/SxErrKSjIABc5cYI+DXjTMxl1C+uMHEn2Xv3pkUfUe6sI+WZxtg99W+ja6tVJQRzLnD3P932oid2OgeDWQqIFJGMAXBVuzyuv+PBn5NEXT57i999DC3NO0dEA+GvXRnRKLklHIqlZuTgKCuI+LUUVkpoKP0zHnSUiOnzASQ0r3yfGiDq05/o1Uw4fhq8jWyj/EcpD96SM7WKMPSX7fzRjrLTRfuHh4aj8Mm+eoVo9vj+TSoekUInCdtWaCWLF79yZyBoRj+XOoCCEXHFs9FIcIhFp6lTZpS1YoBleOHYMvnKzZkQZaS4sGzpIaUICgLauz9ko9YUXDQuTxMURFQ51UrvKvm6amizvsYUYI+NVmnNK6z6Iihbl1K+f/qbfzkvyTEKLBSu51jHptdfowuTviDFNXUtEREO6JPooD1HawDt8S8OGUdngezR8mMESLECUr78mp1MZxWLMi/Y+ezbMHS+LNy4OSqdePbclmJICn8TNHD54EMqjb19foza1z3BqHXKcAgK4Pn60Zg0ZPiAich4/SV+ETKSiQWlUuzanSZM0ulpcuYLwT+nSHovq36A8XmeMzXL/XZsxdl3L8pB/wkuWNMXm2r4miUIDs6haxWyfTHTOpf4aPXsSZZ93U87d7KJVq9SRfi3FQSQxMd94Q6Y4Vq/WXPJiYuALV63qZrq/954uOGu3wyQPDeV0vvNUQ/IF50RPd3BSwcBMunbRmD2XHnWLKoQmUfPmJkzdgwfpu347qHBh/UI2V66gsLMAdRmDhacpw4bR2lXAMvS63WVnE13o9g498ggUf1SUNBlbt/bKm4mJoRYV43xzabzF4UA5rp07PcCr/NO7t+y5XLgAvr5KhSVRVLtiRTf/Y/NmDDL3BQr3Rp6TQ0RE0dGUNu1jalclmqpVMyjPuGEDzq9T4JuIiPbupTvz19KUWpvIYkFpiW++UTFARfHl114jGjv2X6E88jHGvne7L6cYY+3N7BduFFYgNAguX9ZFndpm+qSgOJ14RsKfdToJmsKtlj//HL95E5kkHgf3URwifXz4cK8Xc+mS6kxMSpIKtHjQcZVaG3KZPNm94Kzmhm6VyyX1Ol0821z++KxpcAXMVLVy3b5LtWu6qE0bfUWTnk40cpCVChaUlEeBAjr7xMbS228bh52JiCgujipV8i163KkTLDmPOJ3Uv2sGVa9ufF+UlkZ07x7duQPLQ9Qu8Q61EhHQTpW89lu3JIUTFAQrNO1stAKUmjIFv3uzU4mIMk9e9CigL7/UuVaXy3xtxLQ0OrH2sqdrQ3i4znuOifnnK4+cfvTKEHIuJXw995wv4pydjSAKY0j59h7Ec+ZIq4x88FqtyKEoVIh8fFJRSX3iRMPcK881tG0LgprZGP+mTeoKTU327wc4JwawGXclIQH1QM0cnwiBLW8+hZZwjnyv5s2BYxhhDy+8gKiBGSlVyncF790bilkuQiGZeT9CoqPxrlq1wvHMAo+c493KrZaKFZXVIERYPjBQvQh3draoJWoCuPZDOEctj4oVcewBA9TbxDx0ysNul5KJhg3z9SnT0mDpFS6s6NDoeajvvIN9Bw1SaTrtZo56N0H+5hvs0727MZ1ZnEe0WzBDDyeCd1K4MFZTPRDz9m2pjaXw1/UiFnIZOhQhvqgoc9s/+SSIVGbyKwRxyzDh0C2PPKJMdtOTwoURxJLLkCE4hlyWLsU1GJHO1ETsa6aRnZAaNZTKo31732dltUptM9SMTpsNipAxc7k2/kh6Orzk8uXxmTFDaUQ9VMrDaiV6+mmYxjN6n/dZJe7dw+QLDHRP2uxsBNY590RRhRujaDptJWrdNBuuipfFsWYNJumzz8omtYGtLXAWs4MhLQ2ksZIljQe+AH/lHznfQUtOnMB9vPmmuWv66y8c+7PPzG0/Zw6Or9kOVCbJyTi2XsMpubRo4RuVef99WJ1y+e034EXe+UGnTxsGLig5GZinP/VLRQ2WgAD1ptpCYmJgPT32mDqnxuGQFpv33lNaP+5KmYb1afXk2jWAtyK0+/33GP8PjfJISCBq1oxToMVJ3xQa5xMHu34dZmdIiLtz/MaNWJo2bCCXS5rQ48Z5NZ2OT6bWlWIAjnopjp9+giJ66il3wOPKFbxl7xicTARV+ZWOMcSPG2dFcWsaDXj6LlWpIivsoyVxcZ72uXLl4ZMen53tU4OjTRsA7T5IvIad3r8/8jKMirIJadzYty6HzQal5e1S7dsHN8HwfgmThzFgnHIZPx4WiVzOncO23u+xYkWVymMqMmgQwG2zza9XrMBw2LIFinPMGO1tDxyAS/f00+qWnNMJLC0wEIpYvJYbN6B0goNz3vtGyMGDwEEYE83eHwLlERmJaEXbOrdpx/OLFOizw4GVN39+YBX79hFm+osvEg0cSA4795C5PvnEt1t965q3KZA5aON8ZQWuHTvwwlq0cHOAbtzAaFXU3lPKrl1ElSpxGlj1ENlr1jEGIo4coYWlZhJjKkVz5MI5nOLp08npxMQrVAgYA2NemEpiog+oIZo6L13qddz161Xz9ePiMIg9ZQtTUlAYSEOiojAYFy8mRX66SHzzDpoJ8ptemwghtxJgaXpn3k6eDK6FXO7exXG9Cp9Rp05QbkYiMB555XGbDVaPUQLd2LFQIHoZsGJh8XbBhLhcUjRv7Fhp+CQnQ+kwBhDWn541audYsQJuTJ5XHocPIwelTKEM+uvVpUSc0/37CIX166ck+Rw8SFgq+/QhOnWKbJlOD3DqPTmtVqIhz96CxfGV0pb8/XfwLJ5+2m2KCl75/PmaVsfp05jQYXXc3AwTxSUOPTubgiwO6tLFYECISsLnznkm3urVMDD275cpxDt3YH7JfJOsLCjeBg28gMT16/GDikyfDisiLo6gnTt10gUDRAe62E0nFAVJpkwBgOmd4tOnD6eqRY048ZBL83epgrZvvQXA0iOpqeQ6d4ECA2FlymXSJCwunvtXYY4S4XkWLSqzUqxW4hyYRcOGOmCq00mpqbBwGjTQx8XGjcOz0so9kvOI5O613Q7QWGBcD0JLJ8L+eVp5bN5MlD8/p1rF71L0bAl5bNuWPL6mUByvvkpSseJLlzy+oprf7uFxMAf9/KPyTR8+LBGAEhMJb3PqVF9bWCbx8ah2XqmCi248MxQ7GsD2t9bspfKFUqlmDZc+eVQUNt66lS6cB725Z0+Nw8fE4P5lOeALFgD0VCRluVwYgSphl3v3cP+eCSSKZ+h0dnr8caJWzZ2gfcqAnrAwvCtvqVImg/oWMtFYhIiOhL1GjPkWyJoyBe/fI9u3E02dSuXLw/yXi+ha56HM6GjrIUPgrmVlEVie1655sn81e/bu3Uu0ezdt3gyQ2Ruo98j9++RYuYaefhpWrVYYlTtd9G7fK8QYUiCEm8O5FPVr2NAdQRFVhIwkOdln0ORZ5VG5cjgFBHBqXjqa7q5UZhOJ/qXyz+WDdzzFijMyJDPPG/3XI4CdOIGBU6uWrFLXRx95ihWrSUoKVqYiRTide2aSqV6A9shoalP6IhUowFHwVk+WLydatoxsNuAQpUtrzGMR4pGVGLtxA4qgZ0+vbRMSEKpSGXSiVacHYPziC8T9NJShiLIs/NyBMJDbbhc8CG+gUySjfVBd+5l6JD6edhZ/kRhDOVO5wOyWkW+nTCGqWpUaNuQ+dT0E+LtpE0FpBAfjnlRkxw5s+8svBCuqaVNKT7JRsWI6ldYSEwG2bdtGXbvCndIEvjt0oKTer1LN6k4qU0Znu7lzaU7ZhcQYDGm5NbNjB7CZcuWIji48BhasERP79Glo8zFjPMhunlUejIVTlwp/UcZer1FD8AjktOKWjbOgOBISyGrFqhkQgBVHLnqK49w5uEdVqshi4osX64YbbDYg7kFBnPa88Lk55lV6Os1+bDUFBHAj5jEU0eDBRJx7eC2apNsNG1AgQyYDB2JM+9TVGDtWNV6bno5n0LWr+wuXCwpBZ1C+9x6e9a3D0Qp/QTAsvbu8P/kkvh/dV6dHpUzWPbmYGFOmoDsckrvqyQg4f55o0iR6tpPLh92akYHxMnMmwaQYNEi1PiwRJmmJEu4wspilVitNmgQcyKs4vSR9+hDNmUMxMSDIafUCpjVriFq3pov771KRIlgQVHurZGYStW9Pn7Xf5uH+yEP4Fy6gkkRICNGaTiuRZGlUJWr7doA/06YRZWXlXeVRpUBlcpzzzfQRzNCOHSXOxorGC4ju3aOkJAB3BQr4AlxWK1Hrx62qiiMyEiUKK1SQTbQffyR6/31N35JzgHbBwUQr+2w1kSgCWdvhG2IM709XxMS9f5+OHMEEHTxYY1ur1aciuihU7HOeqChNxO6ZZ0i5ym/bplsYRBDDOnQgmBgyrvmAAbCS5N7BwYOS0p/xvjkm1+LmK4gxZc3W1aulhaNMGbf1kZpKNHYsjRgBvo631Kwpc8V270Zugoa88grwq8xMgnaMjKToaFy75nvjHO8gM5M++gjXtm2bynYuFzCXF1+kXTsBBmsWXXc4iFatom+7/UyBgYCe5IomMVFSxq8OsZN9yKvGVPasLAyO7t3zrvIIDwtT3LM8T6V3bykaGXEqm3hKKt29Cz9QLeXZaoXprkY5Fy0yypXzKrBy7x7t3sWpVCn1FpTCEpg3j0wUxICcO4eclSeeMBkOTE6m9HQM/CpVNBKeiPAgZDFVpxMV2CpVUimOo9IknHN4J2JCesRm073QkydJChVnZHhmgMuFkKA86/XmTSgTKA9unIPillnv2Sg4WLoMlwsKS255fvaZ+yYyM2nCBFgl3tKtG7AZIoJ5oYNq/vYbcnO2bnXfl1sDdumCe9Ak8bmRYZsNuHXVqjod29yug1A0upyXxET69lvc81NPKcFSm03icFgsnPp0yaQvv8RY0wXhs7PzsPKQhWqdTljajz0my1ORyZkzMOHy5/cF1gRztHx5X2vk+nW84BIlyAd7OHIEvmtYmC/5R6S/Dx9uns6cnAxGYvny5ohUQkaOxKDxhyQk2JJmaOVZWcBjxUQ0kVLkkalTMZi9o71HjuBY69dL33k30M6XzzBZmIhgrpcoIf1/507lcYT1IWTmTHznrRvGj8f7NPO+HA6c86WXlN/v2YMxaIY1LOqsGlmYnCNqaLFoWCoyWbsWrlNYmDJgxLlvCw/G9BuME1HeVx42m5TBOG2a++VnZlLqip9o/TquqPHpXcHJaiVq3SRLteborVtImy5SxF3hmnPPihwRgcFTo4Zvi4MdO2DBdOpkjqpOhBXghRfg4nizH/VETBQP38KE3L8PRWqUzEaEVbFxY+WAa9HC3HkcDtTUVPPt334bg1xEtQVJzXtwm1GIPXsqq41FRWFS162LCTd4sJJANn8+ju2t0IRlZVZxv/QSEhrlhC6XCwEltQiSmgwahPs2qkqfkYFFTHBA9KxS0Q+HMVh2W7dCCR8+7Pt8jYo35WnlkZEBWjhjIBYRETk2b6X++TdTUIBL8aC8EXZrzD1qXSFateboH3/ATQkNdU/m8+eRuJKYSLGxiNeXK+cLNJ74i1PBEDs1qmVVK0+qlJQU+NYkRTA0sydVkh7u3UNrh/r1ZX1qMjIMw3KjRmElPnvGeImNjwfvTf4cGzUy3I2IpKiEWj+i+vVx7d4i2kG89RYabxv1niECIU7NxXnzTVia3iLCst7vbtcu0g+3eolIUvRekISbYaaGaEICnu9zzxkrcnn/nrJlMd613FRRy1R8ChTAew8Pl9w5i8W4jm2eVR4NG4ZTq1YACj3066ws4gMG0mNFbyoensWiHIhWK1HrRxNRc3ReLBHBT928WVmNfOtWQtzTXQX4zh1YI8WK+daZuHbVQWXzJ1PlwBuUEG+QKbZ7NwCHo0dp61aY7O6giVIcDiwPb7+t+JpzrLghITIAPS7Oqxekr5w8iWcxtv15c6XT796l+3tOUZkysBR03Rav6Ez//rDOvFfJa+fQC1YtS7R/fzwWzsk0TbJ6dfUEugkTfOnpRFJRY+9IbFQUvveOwGlJWhqe/7hxyu9v3/6/9s49Ooo6y+P3F0IgRoMBiaDySg4ooCGQgIiAIwFEFAyGQT08hh0FRHAXUVwV3wPoCOiiOxFwUQaWyIAKoguCOEdzBkYXkIAkCgEJeSCPkJCGJCTdVd/943Z1V1dVVxe9hCbw+5zTh9BdVf2r6qr7u7/75MC3UI2qNBYu5O8NUV8bqsqajv6+jouzzskpKAjcTtMYtfpBXbv6Y6HsssAvW+ERG5uGmBidneLMGbYM7dyJLVtUX4CYEIFNkFwu4K4elaxxLGPR/d57LB/0Fzs9HXwDT50KfPQRqn4tx4MPstQ3elxPnQK6dz6HIYm7kT/fQXDT5MnAiBHY/4uK+HiezS0NZ+vX8wkY7hBt9vQZ0Y4fZ73WJgNOUYC+fVUkxp1BZScH6sOpU0CPHvhkYRF7rJazp9eYUQyAjRe6tcHp0zzrm5LIamuxaOBaEJk9warKGt3DD3vfyM4OOR2rKnBVrIKZfzCH0E+fzg9bAIWFuP9+vnb33Rf4kdvND/3s2XDcAOW+4Qo6djQPc/RotjE46VxYX88Pc1JS6O2zsgINwe3aBdfOUlL82zVtyjFKWkFurQ+QVmx72DBrLeaSFx5ElEpE33sLIe8koj5O9ouOTvMnTlVW8lS8bx927fKGqyey5ZvIX1Xb5QL633Yad7Q+gDW63rHaRdS/1n2msjFh3TrU1rLhLzrabHCtrQUG9K1DTFQ9vv0y1FoFPOW99RZcp+rRrRvfZJbR0G43xwYYXDmHDrGbcOBA3Yzxww8c1GUTUaY1v16e+o6zdN5334V6TTxSe6jo0sVmNXToEMds62rmaSUKTHkcTz2FjFY/mupsAHwNiLyFccrL+ckPsfZzuXiftx7eZfpsypRAQylOnIB73ERcdx3v06SJeemSnMz2Mzz5pKOozKWP/QAisxa6ZQsCtZuiItsYn6+/5u3n/Em1XTdpyzrtZZfhMH8+b3NDWwUtWrCgsaodtWQJX+qMDNVke2kMwmMLEd3r/Xs4EX3rZL+ePb3elhMn2CpXWIjt2/k+bt+eZ7bCQjai1tT4BYdVt/qzZ9mGof0ozZoB1S/MAVauhNvNbjwic7lIRQF+P4rL5a3+T/vK7QBY/E+aBFVRkZXFS65vvgmy7csv80Jch8fDnqH4eJ3Aqanh87dxTVRUsCDt170Sypx5zlwKjz6KDYvLQt6kKCvjNZfuSbzrLl7eBXyNoqDy95PQIaEqoKq5xt/+xmv1vDxwsFJionWFGh0FeefQs+lerM00F/ucNo2NkT6WL8fauD8ELGUzMwP3mTiR3a1ISnLU7u+3eR8iNf4gFi0KvJ6a4dQXTFddzT/A4cNBj5WVxbaJIxn/ErQu6Z49PIE98QSQflMZrm5ai/xd1upKZSXHGRWvykXe8OdxXUsP2rSxXubk5gLXJbjRIqYaX72d7/vhGoPw2ExED3n/foSIcpzsl5aWxvpXZiZQXIzcXJ6Rk5PNIb12gqO+3m/n0NyFI7sXAtnZUFV/CXtjJiYAzJzBRtn5Mx3YD377zfeQa0a1oDkOW7ZY+vDmzuX9AgrjPvtsyGal06YBUVEqdv9uRojGKl727IH63PMYO5ZValuv0SuvBGg8Bw/yc2Kq9ayq+O/b37XWSMDXuWVLr6lj+3ZWQULYPTZv4uufu8G8zBg92tDzZd8+9G+ZD30dVaJAheCPfwTatlU5wtAmSMzHihXofdVPuCPdfIHeeYcFlE+mduxoq/EVFbHwePz2H1lNCJJgqS1vS348gUQ6hs6tK0PnPmVkIP+WB9G2LdcvtWqmePgwkNLmOKLIg7dnHIGqNg7h0ZWIir2Fj8uIqIOT/dJuvZUFx7Fj2LyZL/zo0WY7oJ3gcLv9ATTavbp0/Hf45emlUL2rFiJ+Poz8xzt8Ez6ZWRx6Ij93jqeW0lJ89RXfVEGjBsvKeLliKOqwcyfPZg89pNsvN9ecImpg1y7WAl7M2Obz7oRkwgR8+TH3Q7FJ2+Hz8hkpmBdeYI3KFKadl4fMbr/ghhvMMkFVWVvMyvK+MX++o7qcWjyNVf7HsGGGGqZ1degcf8wnNOLjOcNV3wTq5Zf5t6lfudq8PrVCVfFSyjpERammOMCSEj6W794pLg7Z8Jejo1XkPvGxo+/PXVmEaOHGA8Pr7OXsgQPAX/+KwinzMeJ+FS1amHOBAODMaQ9G3cnXaOLw45eG8AjRt+VdIsrybjeGiLbaHMfftyU2Fjh1Chs2cEBRSoo5IczlAvqnVVsKDkXxF0D2aQBbt/oeRs3vP326+SH/9FOgQysXRqUdcVYP88UXgX/+EwcPcvTjyJE2bQ8nTTJJwLNnWQB06aILVlUUfnBtNAmPh5cC1ycqqBxnU4lGzy+/QH31NaSnczyIrdaxfn2ABdXt5iA3ozESAM68ugDNmymWBXEKC/la+5IUn3jCkc1h9mygifBYFs/p39/gwq2rg+dfn0JFBX+XVUqSTxhtyHPsdtk2ax2IrLMPhgxhhcP3YE+bZmvHqa5mb1OvniqUR+y7FGosee0ouiYctZzgTKxYgaKX/gvJybraNgYUBXhlttaF7xIQHrZfSlSltVrwNn5yOdkvrVcvrFnDa8D0dHMEuMvFa94B/VWT4PC2BkFSkiGrs74eUFXfTfTMM+ZZMjeXbSLDhiqOIiC14545w/ENCQkhGjxbPAmTJ/MsZowpCPWAvf8+n8eqVaG31bNhPS8HQvazVdWAG1wrK2LlkclZxZqa1Q2rpbSHKBxvYtw4Dsu3okcPnc1Bh9aWxWoFsWEDf+ZUQQMAd72Ka681V28H2HRBpLNrORAGmjv1o2XOXNWqCkycoDhy9wIA6upQVsbL0dhYk1nNB7fnvPSFx89a0yciyiCiXU7269QpDVFRbEA0uplY46ixjBxVVX/BleeeA1RFDXDNrV3Lave995pn3YJ9ChISWAOwKLAVFC0nKirKukq2HevX81itjIx2HDvG8SiDBp1fq0FVZddxUpLzCFmNzEy2cxr34/Uzv6xk2Jgx7KY935aIAwYYjKI6kpOt4z+0sVhFV2pV851WbdcYM4Y1LuP4q6v5eNHR51d1vW9fNuA7LehTU8ORwPHxzppyA+xn6NGDtfbPP7fepjEIj/5EtIuI9nj71aY52y8NgwaZL7Cr8Bj6ty20jBxVVY63IvLWKt2xkwP8vc7yTZvYJ37nnYa4C0VB2YIctG9dg8REXRtBK06eNGUuagZSLQrWhzEf3cDRo+zK7ZXqQZ3LgaET8D2dEybwuZxvt/R16xDaw2KBFhxl7G2iaXnaQ2REUbj4rzFPxAnt2wePi7v+etbYrGjenO3MRiZPhs+N66Dsig/NDW7VoCo6mj/TF+0Jxfff8z4hzFkBFBXxvdK9u3OhU1HBdqHoaGtt8ZIXHuG+2rRJMy0bXC6gf/dTHDn6prkexeuv81lOngyopyr4rp05E0eO+N2x7dsbYoQUBVVjHkNq032Ii1Ptu6x/+im7GnQm/E2bLAyktbUsvSy7CPm+FkOHArHNFfycMS301KWqbLw5fBjffsvnEjRmrKTEslmMovBs1Lmz7ka3a9mmY9E8jhzVCytV5c55mtYREwOo9e6Ac8nL4+/UYnGcUl/PsTfBPFYZGcH73A4dai47WVfHmprmxh040Lm2UFbGD62xjirAHiTt/EeNcubsAlgoNmtm69018fXXrN2OGeN87FVV/u8ytre8bIWHsXp6gFdludkaqQXNjB8PKG4F7klTsWrG/yJjwLmAqD3jGrBudz7uabMbTaIUbNxoOmwgTz4Z4A45cIBnwJQUg4FUs/LadB5esgRoEa9gcYtnQ6deau3vbr4ZdXUsCO+4I0jU6sGDbMXLzzd9tHYtq+y+bNcFCyzUJTPK8ZPoHH/MFDehFevVv0qfXRSwzZ//zO+bouUPHbINetu/H/4AQEPxZc2uYSoa7a2ofO21/FPp0ZaH+pep6rwR3RParRvX09DjdgeWwiQy51gFo6SEBaCTqu56tBq2VoIsGGfPcq6REIEV2K8I4eFyASPvPIkOcSdMxlGAPScDBng9oPUqMGMGPvq33b5ZRvthja1g1JJSTGj3d/RJc4c2Hi5ezO4Cr4XV5eLZqG9fwzKnpoafbptUyt27WbaM/V0x1FnPhl7IaoWBFi/2rdv/J1iU/Lx5rFoYpiaPh41oXbt6Vz779rE+G0pi1tdja8pTlkF0mZnmB/KbuBEB29x9t66Ohp4HHrCJoPMbZ7cv3mNag2ilDE0PkLd4aUKCWXg89ph5rCF7tOzZ4xPC06Zxrok+l6e0VH8869lugwAACFdJREFUNhhnZITQCnSqhlYTxqpeTDCvjabtRUV5DewOc4Sqq/3FnrSCc5e98NCXDvxktVlwaKHSI0cCdedU1uVXr0ZFBRsG9TdLQMGVykq80HkNiHi5Y8s333AmlhdFYRU1KsrQe0RVgccft600Xl3NNSFuaOPByZHWdURNZGcDa9agsJDX86NHB9nO7eaBWTRb0coC+uxEmzezSyKUZdjjweibtqNVfJ0pN0NV+ZoSsQuSCNjYxZ9J5nKxXcZkf/j5Z17AW6XketEqxpUPG2tqiWfZn+Wnn/gHOX0aCQnmHip793K6fq9eQJerSlD29urQz93Gjb6aA1qWrT7oTAu51xLanp/hwD03ZYqvQLXLxQZoy/IJy5cHNUy5XHwPtW4NlGwpYPUu1H1UVYXat7Nx370eaEGRl7Xw0AsOK41D6+Z2zz3etea8eT7/Y2Ulu071aqVPSz53Dtm9loKIwy5sZ4r9+9mgobOGabYVU+bo0qUWzVECmTKFKz5tvXtOyPBsALzN+PFQFRVDhnAmadCE2fffN5dRA8+WnTqxMFUU+N1DDjK7jn67H9FRnqDmm8xMLt/o8QCnps6GWuKPHtOWCiYXdF0dh5wGLbPF+YoJCSqnyRqCLLRCOwGKy549/BT++itatgyuVUycCNzY7IQza+WKFXxyRUUoL+d7zdiDt6iI7TO3Reej301FoY85dy4b3rxLrOxsPhfTz1ZczB8YDRVeCgo4lqNvXxV1qX28s2eI8nRPP426dsnIHHymccR5hPvq2TPNVnB88om/m1t1NViULuL1dnU1BxE1bcrq77hxvLzQUsHXD1qEqCiusm1rIa+o4FlPZ2HVGgONH28QOjt2sNZhI4k++4z3/feMHc5qnmoV0cvKkJPD+5rCwvVjDRLWqsVZ+JY6mzfbHCiQOXdwAV6rlVVlJS+/ZsyAP6hNx+OP8w1uuqe3bQvRGp7V/9tvB6sQBl+9pgWY6v16i7y2ahVceMyaBcREe6B+EaJsF8AD17mJUlOta4sAwLwJP4PIgQE0P59/U2/gUn09axE332zhOl+wwLY/6Jo1fB2mDz/Ea3bbACOwljl2LOqfewkTJzaCOI9wX3GxqUEFx5dfsmDo18/rtlq2zBcVVF/PhaSFsHg+VRXbH3kXzWM86NPHJgpUO9BDDwXklhcU8Myfnm7IUysv5ynYJqqspIQt8+ndq1E3yWFD1Jwc4IMPUFHB6m3v3jba6TPPWBoga2s5xqJfP69cOQ+tw1NRhfZxJzF4sPXnWumAH34AC4RFfmOpqrLd1rIJ9xtv2HagA3RuWguLohbkZ1LcdMLDoiUNAL/BsWqxdesFEzNnsp8avHJt1sz60v16iG0exraYluzcyRWivGgTkqU8nTULdi5ALcViZbaL70EnftyVK6G+MPu8hEcUNSJqaqNodQ5o9MPRAe8DRH/5C1FKCtHGjURXFxcQHTpE9PzzRESUn0/03XdEixcTjRljOOimTbTqeAbd2K4JffEFUVyczQCWLSOaOpUoOdn31saNRLGxRJ99xv/6eO89ooULDW8Gsm0bkaoS5aS9TTEL3wh9AVSV6B//IHr0UcrLI3K7iZYsIWrSxGJbl4soJobotttMHx04wNds7lwiIYho/36iwYOJmjcPOYTSz3fSVa1iacoU68/Ly4l69CDq3ZuIfvyRKCvL91lVFVFiItHw4RY71tQQdesW9HsVhahdO6K0NCLq2NH0eVwc//6tWhl2SkoiIqLUVN7fiuRkovRba6lGaRb0+wO46y6i4mIiIsrIILrlFqKyMvNmnZIE3Z10hE4fOxf6mGlp/JsBREQ0YgR/zd69Ftu+8grRxx8HPdSbb/K+n2y+hvDa6/xwhGLcOBJdbwm9nQ4tRLxRIIQ4SURHIj2O/wfXEVF5pAdxkbnSzrmxn28HAK2dbNiohEdjRwixE0B6pMdxMbnSzvlKOt9GtWyRSCSXDlJ4SCSSsJDC4+KyNNIDiABX2jlfMecrbR4SiSQspOYhkUjCQgqPi4wQ4lUhRJkQIs/7sop6aPQIIYYJIfYLIQ4KIZ6L9HguBkKIIiHET97fdWekx9PQyGXLRUYI8SoRnQWwINJjaSiEEE2I6AARDSGiUiLaQUSPACiI6MAaGCFEERGlA2jMcR6OkZqHpCHoQ0QHAfwKoJ6IVhMXvpZcRkjhERmmCyH2CiE+FEIkRHowDcCNxG01NEq9713ugIi2CCF2CSEmR3owDY0UHg2AEGKrEGKfxesBInqfiJKJW27+RkQLIzrYhkFYvHclrI/vBNCLiO4lomlCiIGRHlBDEh16E8n5AmCwk+2EEB8Q0ZcNPJxIUEpE+jS0m4joaITGctEAcNT77wkhxDri5VtuZEfVcEjN4yIjhGir++8o4kZYlxs7iKizEKKTECKGiB4mog0RHlODIoSIE0Jco/1NREPp8vxtfUjN4+LzlhAilViNLyKiIMntjRcAHiHEdOKexE2I6EMA+REeVkNzPRGtE0IQ8XOVA+CryA6pYZGuWolEEhZy2SKRSMJCCg+JRBIWUnhIJJKwkMJDIpGEhRQeEokkLKTwkEgkYSGFh0QiCQspPCQXHCFEb2/iX3Nv5GW+EOLWSI9LcmGRQWKSBkEIMYeImhNRLBGVAnDQ1UrSmJDCQ9IgeHNadhDROSLqB0CJ8JAkFxi5bJE0FC2J6GoiuoZYA5FcZkjNQ9IgCCE2EFcQ60REbQFMj/CQJBcYmVUrueAIISYQkQdAjree6XYhxCAAf4/02CQXDql5SCSSsJA2D4lEEhZSeEgkkrCQwkMikYSFFB4SiSQspPCQSCRhIYWHRCIJCyk8JBJJWEjhIZFIwuL/AMVnksywzINdAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(-3, -1, -1, -3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ > 0, Δ < 0: sadul\n", "\n", "Maatriksi omaväärtused on $\\lambda_{1,2} = \\frac{\\tau}{2} \\pm \\sqrt{\\delta}$. Üks on negatiivne, üks on positiivne. Püsipunkt $\\underline{x}_* = (0, 0)$ on **sadul**." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}1.000000 & 3.000000 \\\\ 3.000000 & 1.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = 2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = -8.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 9.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1 = 4.000000, λ2 = -2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(1, 3, 3, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ > 0, Δ = 0, τ > 0: ebastabiilne sirge\n", "\n", "Maatriksi omaväärtused on $\\lambda_1 = 0$ ja $\\lambda_2 = \\tau$. Üks on null, üks on positiivne. Faasiportree on **ebastabiilne sirge**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **mitteisoleeritud**." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}1.000000 & -1.000000 \\\\ -1.000000 & 1.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = 2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1 = 2.000000, λ2 = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(1, -1, -1, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ > 0, Δ = 0, τ < 0: stabiilne sirge\n", "\n", "Maatriksi omaväärtused on $\\lambda_1 = 0$ ja $\\lambda_2 = \\tau$. Üks on null, üks on negatiivne. Faasiportree on **stabiilne sirge**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **mitteisoleeritud**." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}-1.000000 & 1.000000 \\\\ 1.000000 & -1.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = -2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1 = 0.000000, λ2 = -2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(-1, 1, 1, -1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ < 0, τ > 0: ebastabiilne fookus\n", "\n", "Maatriksi omaväärtused on $\\lambda_{1,2} = \\frac{\\tau}{2} \\pm i\\sqrt{-\\delta}$. Nende reaalosad on positiivsed. Faasiportree on **ebastabiilne fookus**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **repeller**." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}1.000000 & 1.000000 \\\\ -3.000000 & 1.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = 2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 4.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = -3.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1 = 1.000000 + 1.732051i, λ2 = 1.000000 + -1.732051i" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(1, 1, -3, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ < 0, τ < 0: stabiilne fookus\n", "\n", "Maatriksi omaväärtused on $\\lambda_{1,2} = \\frac{\\tau}{2} \\pm i\\sqrt{-\\delta}$. Nende reaalosad on negatiivsed. Faasiportree on **stabiilne fookus**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **atraktor**." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}-1.000000 & 3.000000 \\\\ -1.000000 & -1.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = -2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 4.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = -3.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1 = -1.000000 + 1.732051i, λ2 = -1.000000 + -1.732051i" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(-1, 3, -1, -1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ < 0, τ = 0: tsenter\n", "\n", "Maatriksi omaväärtused on $\\lambda_{1,2} = i\\sqrt{\\Delta}$. Nende reaalosad on null. Püsipunkt $\\underline{x}_* = (0, 0)$ on **tsenter**." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}0.000000 & 1.000000 \\\\ -1.000000 & 0.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = -1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1 = 0.000000 + 1.000000i, λ2 = 0.000000 + -1.000000i" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(0, 1, -1, 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ = 0, maatriks on diagonaalne, τ > 0: ebastabiilne sõlm\n", "\n", "Maatriksi omaväärtused $\\lambda_{1,2} = \\frac{\\tau}{2}$ on identsed ja positiivsed. Faasiportree on **ebastabiilne sõlm**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **repeller**." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}1.000000 & 0.000000 \\\\ 0.000000 & 1.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = 2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1,2 = 1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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Lv8KECcGdd+kSFrnbbjN1n+lw+TK0yxIl9L8/NRXmXMGCehNTCI7Q0ACftQ/r1sH0r1WL+dQp//fXhfAgohJEtIGIyhBROBH9TESDzc4JDY3mpUv1HXHyJFa7IkX89ODffsOvK1fOb89pvfyJibA/ixaVS+3bbpNEYCzgckEolSjhdcIFgS5dYIPLogK9euGYLMAwYACOybSWQYNwLNg8nCefVDkoNRg9Gs5lGcaORX/L8OyzKq0kCDzzDN5DsDkjjz+OCZKZqT82fDhzVJQxS9cIDz4Idq9XmbAFRcH7i4wM1JCtkJuL6FV4uH6By8qC8AsLg5tEjUuXkGNjJDgWL8b47NkT7Fg1rhfhMYCI5qj+HkJEM8zOKVQomh0Ouaf/zBlI6IIFwddwu5k/+QSCJT6e+ZZb5DSM06dh0hBh9VY7SmNjwVDVRWAscOwYBmbXrkERFX3qucwZ+fvvbJjYJATlokX6Y0uWsDG3wgTTp+M87eBi9oeQZebH2LFYmWUYNswgBGyB1q1h6weD3FwIv4ED9ceSkzFORowI7pp//smmSY1GmDkT5330kf1zFAVanJaf4nb7kyfVGq7Hg2TJJ57wH5MJjtmzoVG3bq1ipapwvQiPlt5ISxQROYjoWyIaZXZOkybR3Ls3nnr8eP1KdOkSbMoGDfRe8NhYrIglSsBXosbcuf4OL1kSjjmhIm7bZhCBscBnn7Gx09EEgwYZr2zt2jFXrap/Do9HQ69WISMDE8XLH7KNDRvw/LLgw+zZbBg1mTQJ/SVD//54N8HA7YYgDjZhbfVqPKNMUxUhexV/zRKKgglXrhxLna9GOHoU/d+pU3Ca0zvv4BlfeAF/x8RAaFWs6B+rlSvj2PvvQxNU+/hk/Syu2bWrXINNTr5OhAdDgLxGREe9odrviCjSrH10dDS73YjqETE/cE8y5xw9FdABly8z33MPVLbvvlMdUBQ+8d3v3KuXh0uXZj5wILDjatb0d7zwlSydA3Xjm2/YPP+AWafSeDwILUZFSRiEFy8a5oWfPOl/Dp9K7XUQihCqLOltyhQc2/Jbps6pet998AtJB68BAe7SJclqqSjMsbG8YgUbMmPFcygKa+LoGLQtWkhvhxPUxrcXItfmm2/sPbdAr17QgLKzvdf2vgSPB5EJaYRK4OhRncooEgZ1vC2PR+KtBpxOEBpLllSFT48csSS3/fwzhMH9Azzs2f4n5+Tgt2gjiGIM33WX/tjWrf7rKYqfSjBwoFdjzMoKCPkcPSrmwHUiPIL9iFCtovilaK+Cazj5wZEBLyQ9Hauww6FZ+T/+mI837M0VS+dw2bKB9TwmTQrs/HLlFD5RvSPzF18wezy+OhnSZDRmiP+hQwO4CvHx0HSGDtVE33JzQWk18ABGRuJeZcvCkcpTpzLPmcOK4n++Dz4IHN+7duH7yAiFU9p0D3ByiPDzn39KbjZunF4V8yIsTJPFevo088iRvgxVGcfhzTdxLCeHQUhQvZcA6roWmzahDzUQGcYBvgKXC5LIAML8K1jQ+8Unn/hWkrVrcSxgYVHj+HFdwZKcHPhqdFycnBzMRoNw1ptvIoK2ZAnjZc2da5nuvHMnnrt768ucdXtLn8f+pZcCx2elSv73f2rnRY4KzWEixefnEwuF2w2fkaAfuN0M1bFMGd+1N2xA1KVMmZtAeAgsXMh8W7XLXD/qFMd+vSHgWHY2uP1EqjGZk8Pcrh0fHTaNy5VTuHx5//wVhWbEp3dvZs9rr8OjmpjIbjccTKGhBjH6c+fw1jUJFILY8847mva9e2MgSTyZ7dqxTwNyOJgn9vmHXZGFmI8cCViBHnzQ7wyMj/d/39BxiM9O9juGkpMhCHw8CTWGD2cZP14tqHwO41WrmKOi+MKRZENBKkLHaQne5VJVV6BxY2gEUvTuLaWnP/cchGmAqfbZZ/CAS3DggCA7wXHNBw7gvSxfzszQwkqXNuC+OJ2QcBpHyfTp+FoXefvsM3gzJXbM5s1e1rHwq5w/jxsbrj4wA8uXh8C5MOAZDATvexH0fPERnMW0NOa2t6VwCLm4atlsJvKnCOXkwFS89VZozYrCGKd9+vji8HPnYmzUr4+Q8E0jPJiZN25QuFgxhctHpfLeKYEFMJxOMCyJoE4rivfLefP40IiPuEwZhStVgj3pdELyNm/ul/Jjn3aysu8vrKBuN6el4UUUL26gNJw8iRej4Uz07Qs/QMDqefo0SBGSkEyPHn7TSXy2DPqSeds2nfrapAlWExB8vEKHFK5UPD0gStS/vwEdeuNGeDI1Qkys3kQI92ZnM2LG997LnguXODRU7jj85BOck/BPEuxHFRe9Vi1U69JBUeDU0Nkm0FR8dHeBn3+WklD+/huanui7Nm0Y5uHgwcyxsRwfj2eQVdtiZgyCvn0DeCQJCXC06xQdRcGPkZA9Ll+Gb6pmTZUiOnkyVh2D8E5qKjSbokWZD725FA/pPXnBAvymXr2gNERFwTkqBEeow82Lv8vmxEQIjlOncGrnzuiHDz/03uTIEQjps2fZ4/Lw5Mk4fvfd/se6qYQHM0zOKlUULhTu5Bn3Lg+YIW43FrSICOQD+A7Nm8f7H5vOpUopXLUqzPPkZLQXY5kIvA3+7TdfNZVTp7CA1Kkj91bzvn2Ic6pw6RJMkEaNNBGK06elzMq+ff0TNzwc3nolNY35wQd9Jo34tG+Pawo/hPrjo10zzDe1nRwAST6HiKhoVzpRJ697d2gFWsybh0kbH886huk995hEKkaN0iXTKAqiMzpOxcsvY5lUITMTvgX1M5cvz7DvvM6ZV14xTFQFZs/W5Q+NGoXohM6t8cMPhpWFHnoIGqrPTFy+3LTsnMuFnKDQUOY17+zFTb0DdcUKaAYdOvi1JbcbwqZDo8tS5mhiInxLoaEqefz771hJU1I4K8tfXWzEiECt7sYVHhqGqRpnz0IjIGKuEJXCE8YrvHo1BpXHg4FDhNi/z26dN4/3jficu3fXJ4GJBEuHw6u2z5njE+Fbt2JSd+pkEIH58ksd1/yXX3B/3eT56CNdEtSECVC9+/TBOT6Teto0jgz3+IRKq1Z+YShqm4rPiCa7OHatnzF5/jx+i7R+6HPP6ZysTZvqhdHOnYxYYGYmN2smdzuI5zh5knXCo1AhucBhZqkQFc5jXcRKQk93OpFSFBER+MxZfR9iVhTOzYUw6d7d4P65uZDaquv+8w8mri5zOSUFklnigRY+Gl8/nzljSDlnxu2efhrnzJxyFpLHqwVu3QoyXtOmgdnRaWnMbW9P5TZl/vEJDo8H72fcOPaZvD6LcflySAmnky9cABvV4YA7T6uJ3rjCw0DzEBA1H9Sf8HBIb0Vhn5rmTQkATJhcOTka/4Zqgn39NcJh0smgKNJoyiOPYBULiFK4XDoSiceDr3NzERlo0MA79jIzed3ybN63z19eTqyIR49COxf8jNdfytERMdq0gfajQ2pqgNmiKAgXq51zjz/urQiQksLs8XCvXnKWqSh9cOQIB6hmHg/7zEcpJGqc4Kjo6tBKVT6gb1+o/vfdB3PHeR59i/qcPteHHoqiy1Tr3RtuG92r9HikWW2xsbh369aq7nQ6TUlC06fjvUyYwHgPXlNFpDo0bRpYs9XPHFV48SIXp6aCDyK4SuLjq7jGDDXQ4+GDB+FPKVjQOKHvphUezBAMan9BRATqVwqIWpV9+lhWGrTExIm4ll2Kc2oq+Bi9e9uv0C1ChNpq6omJsH1l+WQdO2KQaBdGUUBYo/FLERODdlWrwjGrxRNPwEekhZjwWsZuejq+1+QhmuLFF6F6Wyb2eZGRgT7RWI3MjDo81asbKgA6CAf6m2/aa+92w4VVpYq9/mWGwhkSgrGoflfHjsHMrVw5kEsjo5wfPKj3jxUvrvfDr1kDwVa+vHlOzk0tPAQTU3waN9Y7w4VTr0sXOXXZLtQRmHXr7J2zeTPuLU06k0BRYL82aKBXMZ99Fmq1lqwlIjzaqJAwAyQRUUP07AlHnhYTJuBaWpap4KJotYXz5/H9F1/Yv3f37vJ7G0HUC9FSuQ8dwveGjlINPB44mKtUsZ+HIkL5Ep+vFHv3woyLjg5cSM6cwQJTunRgWoRZrop4F8JcGT8+8PjMmTjv9tutafU3tfBQFEw0EcoMDUVEQrvNwdy5kPqPPJK3cvcCqamIRpQoYTspk8eMwfPZLB3Bhw8HFBHzIS4OqrkqS5+ZsVKXLCmv5dG4MdRquxDJbFrfTt268smyZg2+V5OUmEGfIDLhV0hQvnxw+5jcdx/qZGi1i4kToYHK+lAGkar/ww/22u/eDSE+YIC9dIQzZ2AKVq4cOC4TEzF2CxcO1A5SU40Fx4oVMEPUZotwirvdECTNm8Mha4cZe1MLD2Z0vPBXrlwJCV+1qr6C1dKlmBjNmuVt/xaBkyfx8urWtZdolZWFPJzKlYNPzLKL118HWUg7YUQ5VG3BGCPMn88BvhUBITzq1g2crEKz0mpiIvQro4vLcO4c2styeYwwfbo+fyQ9Hc5nu/T2zExMbLubN2Vmog8qVbKX/5SejsWscOFAbp6iIKISGQnSlkBaGiJqbdroBcfChRBaTZvCL/Pmm/B/MEObEQ73MWPsJ0besMKjaVON8LCZdbZ7Nxij7dsrOpVWlDW89VZNElgwGW3MvGUz6qf26GHjRSkK79qFlcTWyhrMs3jbHjyIt6tN8Rff+/w0FteOi0Nbn9NOUfiff/yrnHaC79gBVXz16sBr//47zC/TBD1V+1WrsGIa7mVis09EUtrv2+y1FyHqLZvttX/ySWaHQ7GVeOh2w1cUEqJIy05u2BAYKca+KopU4/jqK5goHTpoNGdF4bNn8Q5CQnwFzOSQ9OENKzwiIjQp+bt2IQzwxx+Wg+nkCYWblD/LEWFu/n5BoF67fr2/toHPf3DiBLKSTDz7Afj0U/761ViuX9+0CDhw6RLzxx/zlFdAJ7YsZTdvnn2dOzPTV3OvVStoOOquURRwVHwl/X74wX7Gn9PJvHSpL2olPgUL+vtNUNeXLuWAamorV+J7WT4MM2MGqMrXi8JBhialrK6gBooCO79RAycrq6z3qNy1izk8XOE+tx6zJZx+/RXPOL6PPXt17MgcDiE3z/nCuuhpWoqH29S5xKEhngDBoSgQcEWLwuT2+WT27mUeOZL/2pDElStjPBuUQYXa+dZbKvaYHzes8IiKimYiqKC+SMnEiYgrSqvqBiJpXxy3Ddnm8/qrx8f27QiNVa2q8l0MHQrbwo5N89dfzGFhPK7rIXuOwQ4dOLfvAxzdxM2tWhnvn8rMiDPWr2/f1qhYkXn7dp4zB29Yu3o//zzU3aQk7x92QwpHjzI3a8Y1awZWaSPys/KFc/L77xm6vzf0IEKlUpIaM9h4KiJV374IU0tx8KCq1qExhPN8ZuWplh7tPXvYV/t2b6fxpm2Z8b663xrHzR27OOeUZN9QDWa8nshEzKOaGexZoUJaqsJtyh7jUHLx4nl+j63H4yd3PfywSuZv385MxCueWsaFCsGEMswYFgVn6teXRgtuWOHRtGm0z9nYtKk3UdLphHu9Xz9bG4Vmr93KA2rt9UU81Pb63r3wXTRv7h3kcXHQPl580Z6a/MYb7H7gIe7eDXvImKqy337L3K0bH9qRxoUKIXxreIuzZxFnlCbVSHD33cxPP+2z97Xh3B070IfffssgXtx2m73Y8a+/Mpcpw9++Ecevvgph27kzJp549pgY77WnX0bM0CtVRNkDSeIsXsIdd0CL9KJ6dZPizZMn28rtHzSIuWghF6eXrGqYhJibC85MSAieL9yRa1lHQVEQCSoQ6uSDD1uHcFavZg4N8XCPinvYfdp8AQgoVjzJ7wl3ufxbLowerfLHHDvG3Ls3Tx+2l6tXV7hDBxPq0qVLIKytXGm42N6wwkM4TH/+GdGNIkVUBXCcTjC23n/fcqJ73AqPa7vDy/dQAsJxhw4hIlGypMrj/d139gXIunWc+uRErldP4bAwOCilUBTc7PHHffwLo02JmNmfo2EHmZm+SuuPPw6zQs2g9XigUPXpw+g3GZFDhtzcACdN06Z6xubp0/gts2cpYJh6+0wUPzbclWL0aJ9jBXUlTEKrU6da1pO9eBERllEd/oLWISEywk7XAAAgAElEQVR4ZGXpmbQVS2RaekpFktqnvddYjokDB5iLRrm4UZkznJZqPX5OfL+TqxVKCKCcZ2Uhr4UIP913y+3b2dXvAX5mRA4ToY1hAfodOxCOkkpvIC7uRhYeKnp6XBxs+iJFMO58GtjChQabz+ox/eFdXKpghi7EeuIEVr4iRZCAxMwQILrUWAPMmcP7p/zoG5AdO2L1kT7S55+z56efuUMH2LGaEhiBeP99fQzUCFOnMh8+7EvV1/pVRo2CtZeRwTBdtLFsIzzzjK+ze/aEoFXj4kXc77PPOGA/GBE+N/RhqNquX89SnooPKqFkhM8/B4ntcI/xhm2TkhDaVQuP+vXNr3voEHNkpMLdKuxlxW0uZC5cYK5W2cUVCibz6ZM2wh1//808bBhnp/l9UKmpyAlyODQJuRs2cNrQZ7h7V+wdPG6cCQHuf/8DB96EbTd/PsbfdSM8iKg4Ef3oLQh0hIhambXXhmpzc/3knFtvVWliQRA3LsfLRXV8PMzqggVVqdjBMMqysviOO9hH3CGCo1IXPVAU5pwcPnkS4bu77jJZ+Fwu++WovCEfgxo7vHEjoh/LlnFwJa5UE3HECISD1UhJYV2Ux+lEP1rSw70Qu6kZaikWzxuwcbVF6CslBaaqeEd33GHcdudO9rGWz8ea05OFtlCnjsK7f7dJZXY6A5zXly5BM2rWTO8fPn00k2+/HZEYS/+ayXy4fBmKJxH4P9eT8PiWiB7z/n8EERU3a2/E81i1CqtMVBRU/yCjrIa4eBG5IBER9vkJaohK6urPu+8atxebIgXDbcgrXC7U+LS5QZoUr72mL4uYlYXfoDbXRL4Nka7OjhTjxmlyM4KEYLnKanhqMWMG2n71FTKHZRPx5ElYjOI36EoEaCAYqg5H3sYNMzTrunWhHWrDurt3w+wsWjT46v5qbN6M9xcaCkXV5bpOhAcRFfVu+uSwe44ZSezsWX85tsGDg6szaYbkZGQhFiggL+FvBq8T3PcxdYoyjvXoAZMpmIrtecWjj2IA2touUQKR5q920Lnd4M2IrSCSk+FYVfeDVQXxevVMigbZQPfuMEesItApKVh0OnQwfi9vvIHIlDp/RE3ikkFUpQsmDUCNI0cgHIoV01upS5dCi+vVyyRyZQGnExa4w4GaI+oKc9eL8GhMRDuJ6Bsi2kdEXxFRIbNzrBimbjdWw5AQRKIsfGq2kZYGM9vhMCzhIEVODoROgQJgFYaFWQ+8c+cgPJo1C67gcl4gVuhVq/J2vigzoM1jUW9HKbJ/1R/N1rgBSE9HP8v2obGDEydUG1dbQNT11NL71WjfXv/8ZhFzER636XbTYfdumFFlywaGWxUFwsjhwGJmGto3wdGjIJARgeWgdbBeL8KjGRG5iail9+/pRPS6pJ1v06eqVava6qBNm+DMi4yEWno1zJisLOQHEEm5NYbYvBkrSUoKBFqJEpKCyBoIToS09sZVRHY2/CzBbkEgIJyxmvo5XKgQTA9mOIp79kT0KioK3I1XXjG+puBmWO5yZ4CJE1UbV5sgNhaaqskul8wMN1etWn7BERVlPJ7Wr4fg7Nw5b4L/xAk46atVC8yTys31b6kwYEBwm0YJKApMsoIF8S6WLJG3u16ER3kiilX93Y6IVpidYze3hRnOJjHZ+/W7OjkkTidsWV3IzCZiYvDi6tWzfp6HHsJANFsVrwYeeACrnN1UdTXOnGEpIa5ECX3WcPv2SIu3wqef4prqzcntIjsbfhx1BTUjPPggJpLVfUSS3JAh0AiM6hcfPYp326BB3seaooCvpxZ8KSn+coKTJwe/8RUz5sK99+IanTuba07XhfDAc9JWIqrr/f9Xieg9s/Y64XH8uGmOsccDB2VYGHP16grv+Oaw/d4/f17KLHW5/BtlT5igEiAxMbYuu2kTc4toF/fp4TQNBCQngyjaoAFz9inJzktGcDr1ZdFM8MOcdCZShaStoKLru1xQo7WaRPnyXm1GNYuaNjXevlJ97UcfhR/CUjBLstAWLUL2qZRMqqL3i82bDLfSOH+eWVH45EloAu3aQbhmZUl8aYrCl/46y7fcAmewxY4QGK82C8mcOu7ifl1SOSxMX89FipgYXb+sXYuIWGQkHPG+4Z+RIS2nfz0Jj8Zek2S/d7vJEmbtdcIjMxOjMjraVE/dvh1e5bBQD79f/HX2fPq59eh0OmFcPvmkbnnyePyl415+2ftCFixAQN7GTkKzvkQpwdG9T5m2ExsXPddlP3IR7Kg6Ym9Dm2HltKkfcYtbM8xKbPqRnq4rnVaunD+TU6BaNS+XbOxYn/5ep4589zYf/vyTee5cbtyYDTfR9sHp1JU4ZAbvx7dxtRpvv+0jjYjNm8qXNyBUbd/OPHgwu1xoZ8q9OX2aszvfy20apXFkpEneDjMm9YQJPvKeKVwu/mP0Ii4bmsBlSuRa+sl4zx5Izf79fT8+KwvaX3g4HMg+J7XHg42PSpTQ77/K15HwCPYjNVvi46GDPvCAKXsuORmMytblY7h72V2c8Nsew7Y+7NiBDTsku1Yrip9j8vDDzC6nB6PXKqTixZj2u5mIeda75jruk08yFynk4a3U2ubyw1gq+/e3Z4u89x73LLyBq1bxWD/2gQMw+lV18Zo0QYRIjdq1mQc+oMAe8o78ihX1QiYAPXpw9qRXuV0701rBwPPP6+KlIiFPF+YWFYK8KdPCnzR7tuS68fGg1H/yCb/9Nn6bYf6dorByT1d+qPRqJrJR++O776DG2MjB+uGTC1wgJIdrFk+wjrolJ0NSd+3q0/T27YN/TZDHfNywnBxsDfDAA1jsJLi5hAezv2bo0KHwkBqYJorC/NknHo6IULhSocu85ZkfrCd6ZibidQYrv9jkqG9f5pyziciAfeEFy+u6Ei5z16YXOCzEzRs3GLdNT0cth+plMzjt4ZHmzyqwapV9yvmGDTz3tg+ZSL+Prw7790NAqrx5hw7p/Qb9+zOPHJYBFprXHmrXzsQBnJPD3LUr73ljJRNZhMQVBQUqNPUMR4yAD0Pnb5g922dfGm7eJLBkCfMrr/Cfyy5yaKhFF65Zw1Na/cZENvIKN2/G2LQIkSgK85tPxDERc5uWuZxw2sIzumMHVsR//mF2u31meng4QtUBDN1du9B282bTsXnDCo+oqGhessTktysKVhpVgpUMe/bAgx7i8PAb7VfbcxYuXGjI8BJ5G127eq2FefNsaQkpKcz1KyRzySJOU5fJtm3wLTzW6qBU1ZRhxaM/8sIP7flKEl78iENDFXsbOL/yiqW7Pzram/MyaRIz47WEhGDRM8TEib49cK2iUTx2bMAguHwZCpFUs3nySV9b4YyV0t69e3Skp3q4Vi2YuYaOz/R0nt/2CyYyZ8qnpTE/2CeTT/Ybbxl+cTqZh/VKYiLmQQPd1m6RNWuQY+B9F6dPwyEtFrIAd92CBVBBbCQ/3rDCo2BBpOTfc49FyT8bZZNSU/203E6d5LvB62DibBXFWdq397KBbTpmEYFRuHlzcy+94CQY0rs16NIF0QHDRCkN2rb1b5x8pWjVKpBJKlinVjVER46EjyHYiIJgsJppTgkJuLZpWFpR+LHH8B61RaPU2LqVuV07he+805hgp645+stS8x+UlAQ3VYUKCr86RbEXxVOteN9/Dz/TLbeAZ6I7324ZMb6BhUfTptE8fToGQUQEVrIrKWCsKJj0BQti0tutKWqERYsQ2enRw15JOoGNG+En6NbN2E2Rk4MQb3h4QM0cQ4htKOwW/W3enM0jEEHgzjthpgiITbNNdlpkZvi+1efZgaLASWqWk8KMRTo01Nzl8NNPeE6vwiTF8eMIB9epY1zmxaxYsRbHjuHdR0SoMsRtIjUV/jYi+Pbt1tA1ww0rPITP49w5f65BtWooM3ElRLCDByE8HA5k3gchqHVYtsxvVwfDAhTl8saONW4jfH8OB5y1VlsSdO2KgW6Hqi80m5CQvDNOBVq1gsNOQFRtN6ssnpiINlWqBHevdevAxv3+e+M2R45gIsu2ZBA4exZ91bSpsTaRlAShUaqUsWkVjODYsgXckFKl7CdLC2zbhnEWEgJL8mqxkW944SGweTMS12rVgo1tk2ohRUYGcj2I8PLzQlISWLvWz6a0KnWvhqgSJY0EeKHeEa1SJUQDjASnKPrz1lvW937sMf91IyKuTAsT1xHmx/79+FtVlTAAioL6RUS2CoQFoF8/TD4zQXrvvQh0qDdPUsPjwWLUsKFxTlFWFlb3iAhjTowdwZGVhQCUYK3Wrh3cuM3NhXYYEgLh8bt1YTLbwH7HN4nwYEZnfvghBkdkpC1/ninmz8fEJ8KKNm8eQl/BbhC1bRvMq2rVbDgAvXC54M8JCzO2uZs08U9O8TGz9bt3x+pmVaWgbdvAa0ZGBif4BI4c8V9DRANFgqCRufXhh/5ziha1z3Y9cwYTVbeXrQqiNohhUSb2O7xlm3fl5kKrEYlxc+bIr5GWhohpRIRccMyciahZeHhgPwdj3h4/DpM4Kgr3upItQ9QQe67jmW4i4SFw1rvNJxEkcl5zI5gDd5wXn5AQKS/JFHv2YFWsUEGyUbIBUlLg2yhVSr7zmNg/VzzXCy+YTzZRg8Js8jAHbhIdEhK830bgkUf816lWDSbA+vWYODIS1bZtEADqvtZtL2mAKVPQF0Yrt9uNYkXVqhlrJvv3Q1Dee2+gBpeYiNBy2bL+5ypSRH4Ntcbh2x9Wg3r19GPKzNRSQ/jmChUCtyuvaf5apKfDb1igAPoAputNKDwENm70V616+GH7W/9pIcKG6o8pyckAhw5BeJQta4NH4cXx44iU3H+/fnV58UU8i9jkx84ObCNHor0Za71fP4T4KlfGRM8L4uOhNan77LPP/FtQqvcpEVDXyRCf11+3vtelSxAczZoZt/nmG/iyjByR2dnwTZUtqzdphAmr/sgEsF0fx4YN/jqpRBgTdnxriYmoHkiE4kZXYk4LuN3grJUvj+s++KCfX3nzCI/Dh8HpmDkzgJ6emwsOUZs2kKqvvcacnaVgn8kPPgBT0orEdfoc31I8iR0OhYkUDgmBCWOIRYtQWFYSZ4yJwcpWtKi3klhaGmaViaG+eTMmYvfuzO7lq3w2xJkz+BkZGUhyiorSmEUul07tEpqUlKS1aVOAh/CVVzDIjfwDZp49WfGjRo38yWUyQZ6cjK6LiFC4Ulknly5tXQcjKYm5VsVMJjJOVMvIAKu1ZUtm5VSsVHKPHYvnCii2k5vL/PXXfPiQwuXKBf4WreaUlsbc9tZkbDptIjgOH4Y2HB7mYQehQrslsezcOV4zcilXKJnNERHoE8MQ9sWLsBHHj7fMyluz0sW3VU1hB3n4vuhYXXrLzSM8mLGsFS8ujdueOQM1nwgx8BU/eiveNmhgKxQyf/h6JmIOD/XwrbfiOk89ZTDnk5OxnPTqJX3Lp0/DUx8V5XVGTpgAJpJBVW9mf7GdcY8kQ1/VcKXj41EwpnVrjely1106A75XL3STlIGpSoEVO7tJnbbp6eg/g1F86hRW53btILRn1vuQ96xJ9BUMNhJIJ07g+Kwh1iGHEyeYa1XKZPJOwk8+kbcTdUR+/y4GnmUNkUdsi/n006ovDx8Gw+2tt/jUKWhrkZFoV7BgYEQjLSGH25Y+jO0RFhmrEOvX4x2VLZrFf1IL/uKpv7lePfNteLJPX+KXC7zDIeTmBg0U87o0bjcGZaFCpsk1hw4xd+uGPqsRFsf/a/+JtAbrzSU8mDGLtm6F7v3NN7rBvW6df3tEIuYOTdN4cPUtPLbTfv5kusfQGep2KTy44xle1Okrdn74GY9/TvGtpkePSk5YuRJ502+/LdVsLlzAJkQREcy/zE+DvmhBZR81Cs/8Vdu5oDhr2n73HY5/+qnqy6lToY+rGGIi90NXZGfZMhT18IYZFAWrZLdukoc5dgy2gmy7MxUmTkSRYA4PZ/76a37nHdzbiJOz+NsMJmLe9ZSBN9KLQ4dAqAshj+9dyrSps2chpPv3ZwhGDQkkMRFaW6tWmmdaupS5QQNO+ecCN2gAYbtvH4hlzz/vb5aWxvxwlwvYHmGccbhDbAfZsEYmn+r6pLG3VYX9Cw/wrUVj8dsmZpg7/3fvhk3zyy+GBJaLFxGiDg1VuFh4Br/XZxvnHIsztJluPuEhIOjpAcsJ4HQGOr+EOUJkk1zz/ffM06fz8uVwZt55p4kZs3ChYUZVUhJSPkJDvfl28+aZFqJ0uTDQw8MV3jzhV13WrqJAwISFqXwKWVlwhvi2vwP69MEqGKB9XL6M5VvlHZ0yBfa1zkeSkgJ70CL09NJL6F/l7XeY09L45Zchc4xk5AsvMIeFuDn7tPmueD/8IN6fwoLvMnq0vt0jj0BAx8QwnEQqWraiwLcTHq6xZDwe5jFjODczlzt3Rn/K9t1JS2Nu29rNkSFO/vlH+QT0ePy8meEPZXLK8HGWfebxMH844SxHhLq4XFnFmmuzbh20VwMKcXY2tMDOnbFnzDPR2znhhHV45uYVHhZwueD1Vkcr2rYN/jqnT0M1J0IExs5+SWqkpaFupsNh4UfxIjkZJk/p0vJ6EZcuQTA2amRej/Svv/DMZpW8mP3VvCTJxLbw+us4X6j5Y8caRyqY4de5/XZ71963D4JBOGa1JQ337UO/aioH+CA2n5LtoqEoEHzh4fLUJDvO0cxMKMBEWPHtOEXPnvUX/OnVy/7OojIoCt5b1aq43v3326uHqyiQR/nCwwQ7d/q93kKI9O2rW6Qt4XKxb0WtXz/4YrSZmVCHQ0P1O7vLcOwYiFRNm8rj+6Ke6AsvmF/n/vsxUM3CsB4PPPH9+1s/lwwis1MwW59+GqaQDIoCV5G28pgRZs3C71y3Do5Wrfn48ccQpDK/YUwMLLQ775SHt8XmW2+8oT+m1hiNBMf582jjcOBadljPv/7qL9E4c2ZwTOm4OIznDRtgffbpAycxEULUlnVAGPdbsYJ924RcV8KDiEK9BZCXW7W9GsKDmX1bVr71Fj4FC+Lz1lvBk8HWrUNBnAIF4GQM5uXn5EBwifCk1blr12Lw9ughH/yPPgrBuH278TX+/hv3M81wZayaUVF5I9yJRDUhoAYONN539uxZNnV8qqEomBS3327eVzLhKrZoLV5cTn77+WdM+v79/S4zRQFL99ln/ZqqkeA4cACrfVSUPR5Gero/HDxwoKnfXArhftJGt4jgWrEi2nk8yOURO+ZVqwZL93oTHuOIaKEd4VG0aDR///2V5Z4wwx5cutR/nbg4TOKQEGSDBrsXxoULfrXzueeCY/65XH5237PPWgsQEbkYL9mLOTUVg6B2bXNTqn9/mBFm2oeIRmiLG9sBBqF/E7qePcGMlUHsNG8nt0MwVS22kpViyhQ2JGbt3o1J36KFX1h++CE4L+pJ2bCh/NqrVsE/XaGCvZqzf/6JLQ8cDmiKeclLcTrxrtXPZ6fmrdsNja1TJ9y/Vi2YaOIZrhvhQUSViWg9EXW0IzwiI6N9YdfPP7+yjFoZ1q715xz07x8cIcfjgfkRFoaBYZcQJs4Vq1BYGFRvk6JovhKIsr1tN27EMbPM0AMH/APXCLm5WKWtqovLoN3UWptlq8bUqXgWO8l7zz0HZ7XdMgMC27fDx/Too/pj8fGY9FWrBkZzZWkAMubrjBnQBjt3tqbzu1yIDoWGYuLbrhurQW4utLvChQOfzyxr2eVCILJOHbRt0ABFl7QL8fUkPH4komgiutOu2bJ0qd8+K10ag88oNTovyM6GCVGgAELn77wT3KZIW7dixYqIwAu2a8YoCu6pXelkAsLlwsoRHi5fsV9/HVqUWXLbffdBUElq4Prw8MOglwS7Mi5YgOcX/ohmzQxCvww73U4yXEIC+lQWXTFDWhoWm+rV9RphWhqczEWK6H1Whw/7OR5EyPZVv0u3208y69HDWvidOIHQMBF26QuiRrUPigLzqnZtXKdjR7+QM9qm1OmEn6hGDfbRDBYvNiacXRfCg4h6EtEM7/8bCg/Zvi2KAqndsyd+QYsWUPlNN4kOEqdOoRwpESI0srCdERIT/aXu+/SxnyMi6muqP/fcI28rIjC33aYfCFlZeObKlY0JhyK9v0ABY2/8smVYsYP57cwYnET+orv16mG/ERmqVrUojOyF4IrYzRESGDYMglS7R7DbjXfUoYM+YS8tDezkkBBUcicKTL5LT/fvWv/ss+b+BUXBAlC8OMZpXiNYzMhKFuNx+XJc+8ABzAOtwz87G5qIiAo2b473abWYXS/CYxoRnSGiWCK6QERZRDTf7Bydw/TMGT6w8jQ/N9bNYWFQBwcNkudQsKJgKbTrEU1OZk5O5uXLsXI1b45Bblik3VuuX327jz6CdlC1qob8l5Ul9URmZ2MVFIIjKsorEA2WtWPHJKqy282cnc27dqE/Hn5Y/rgJCf77REaCQq5FZiaeYaS6dKqN/lu2DNfdtR0qS+XK4F5oIWp4+Ko7Glzb7cbK2aGD6kurYibsF2IvvcQ6G1c4QbWZtGlpzG3ucPko56dPw9wRk/PMGaz2ISFeYp6iBGxHoUZSkn+fn/btvWZcYqJ9VS43N8B2drnwnqSne3c0zziXyh984M9bGTQIwjFAaIiavxJi2XUhPAIeIgizJQAZGVAPQkL49DsLedxYxWcHdu0K+z+g09auBUvq7rutbZHcXFz71ls569d1PGUKJlnhwsgz0L3ATZsQs508OWAS7NyJgVO0KFZPj4fxnwEDoINrYo0jRuD5S5TAvx06MKct24hRYLkpiBfDhjH/84/PSSjbHUxMXDXpatQofbt+/eAT8Gk3NvaB/O03XHfbU/OZPR4uXlx+7bVrmW+91RtS3LHDkLm6YgWu56tQnpQUSPmUID4efdg82sO5jz8d0M+ilqm28FLqhSxuWz0ezFFJVGXvXpR3LF6ceeWPmQgRtWolfS/r14MVHxYGspb7+8VQA4wIKGpcvowb3XKLYRgmJgYh5TffZJ7WbRNPjZjK5aJSuUgRxWfS6MY/M+ynsmUh0VW8d6dTaKM3qPCoXTuax47V9KfbjZf43nvMAwZw8pyf+M3X3T426eDBUPd8quX27XiBffvCODfTObOz4THs35/566/5xHEP9+jBPofTxo2a9rNmwSGjqeCekgJZIcyQixcZS1rVqpgEqjd85Ahk1okTUHFDQ6HuJrXvA4PVTqjpgw+YS5bk3OOxHB0N35A2lUcmPNq21Q+2+fPRZvt2b1+Hh1uyjrZsYY6OVnhT+fuZd+3irVvldH5hiiQleEzLgfXogZXU6WSoBi1bmhbx8HiwPkRFKfzPXU+gvRcrVkBr6NUr8NWnpTG3qRrHHRybefGXeifasmXwgVWp4tVst21DjP6rrwLa5eRgeBHBl7N7N/srl/fpY/3+9u7FYOnb13RH8KlT1e/P/yld2qBA0N69WJlGjoRK7N027vRpaGb+JMDrTHjY/VSqFM1hYRjkd98NoRCgAeTmIg713HOcnY2Qnkhoq10bJByftitiVlZlthQFn0WLfLtcL1sGBxwR9hANQE4OJoGmbJai4HkiI7GSb9zIWEEXLjSttvvzz3AUNq6fzeen/2Br3w8+fx607PPn+dAh3HPw4EDBkJQUKDy6d8ySytHLlyEvJkxgmFojR1pucy9Cqqse/BaD1gADByLqwMnJWEY3b9a1OXkS0RhfbdXsbOQOrVxpeF2nE5rO7NkMNdHLlvrrL2iOTZoERmzg41A41OHhxR8G2oHC/BTp/+fOeZ9h4kT8oerUQ4fgK6lUCTyZzEwGXfS556AlW5l8hw4hTJaaaumc2Dtrpy9DV3y6djU4bfFihHm8mYkeD7qkTx8IUocDfhNoeDeo8IiOjubz5zF2BP22QgUMLKMwmduNvmvWDO3LlYO8MDBTbSMrCzTvgIQ0G/jrL6xIISGwAOxUzVqzBmponTp5q+cwcyZWTTXlWlHQb/PmwSIqWNC4gnzXrgg/240c7dmDvjYqjCNQpw4GsBneeguTPS9VzdQ4dw4aXKVKgX4r4RyVMUddLshKIigCRtQAxVvtoUABOFgt8gav+HeMHYv3JYRGSAjGlFUIOzkZ/JXatbEg1KkDWaWmBdzQwkPA7QbBqEcPSE6hiq5dKw9DKQqkbdeu+NXFi6PjrkZxlWCRno4yciVKYPKYbTwssHUr/CbVqwdfq9Xjge+kSBF5ROrYMUweo+LLghIudURLcOAA2ptt3pSWhvdmtjtcTg7U8Pvus3dfI2RkINO+SpXAvEIzwZGa6h8rEycahzbPn/e36949uKLXwcDtBr8nMtLvCP/tN4z7ggURWjbCrl1wWAsqQOvWMEdlPuebQnioceoU/JSVKoFEVKMGtBOjBKO//sIeOKGhcGgNHWrPGrjaWLQI0YwyZextp7B7t7+sYbDPe+qUP69DNhGGDsXgEqxQNS5ehNNXs0mbIY4dw8j67jvjNlu3os2vvxq3Ef6WKynG7PH41XP1vVJTjQVHbCzM3fbtITiN8MsvEG4FCoC0eCUV/O2gb19Us1MvHgsWSK09zsqCptmmDfqwUCGY2Ka1QfgmFB4Cwt3QoQN+WUQEBkHv3vBKP/ccAhHDhsGWP3UKITtR8LhnTwzqaz0I1Dh8GFwNIvhOraJ4Bw/CeVi6dHAsVmb49ojkiXgxMRBKRppAu3b2M1/j4nAfjS8xAJ98gjZmWlfr1lCtg90ESo3x43Ef9R62aWkgVTVvrhccO3fCtC1WzFhoZWQgUFakCEwqs1X/asJOPxw/jnEuonX9+sG0tktKu2mFhxqHDyNTU+1QUicSqdV3UexW1AUdMAC5L1cyaINBVhZWBSJE/qzIbsePw+dTrJjFzuwaKAoEZIEC8gE/fDjUYtmE/ugjPJ+dSvAXLqDt558btxk/Hmq+kaAWFc3sZBwbQeyFM3Kk/z7qtHqtWfXjjzABqlc31ux27YJAczjgjwmGfXyt4HmZOZQAACAASURBVHZDC7rnHvzesDCMYWmo1gL5wkOFv/6Cf0MtRCpUkK/amZlg5XXvzj4m35w5wWfa5hXff4/VrFw56xohp09DEBQvjsxeuzh/HqZP+/Z6LefECQw8GScjNpYDCV0mSEqCumym8t9+O3wFRnj8cUzkvDq216yBgOja1R8dNarHoSj+sPEdd8jLJbrdCAiFhYEiYSfd/VrjwgVo1CIps2JFLIJ2fGhGyBceGhw6FMjcFBsntWgBu1DrRXe54I9o3Nj/Ut59N2/5CMEiJsb+toPnz8PkiYwMbquJn3+GAJWV8BPah4xJ27Sp9baOzOhPIuOtLrOzMQmNEvNSUmBKagv92MWhQzBdmzf357OYFfKZNg3P+8ADfuLv0aPQRN580182QbS50kidXSgKzGu1BixSMwYO9O8BM2wYiIBXY9e4G1Z4lCwZzV9/nbf9RDZuxIAtUwaO1OnTQQgV3mcZFAUrWKdOaFe0KCaEzKn4XyEpCZMkLMz+PiDMCM/KUrhPncL3kkqO/MYbbOmnYMYqTWRQrZ2h+hMZ18aYMQM+Fjvp7VpcvAizo1w5P6XcqgLY2bN4r2KSin1+tR+rOiJXG5Mnsy8UW6yY349BhL/HjDGopXsFuGGFR0QEUvJDQzGhv3j9Ep8fOAai1yw9lJlZUXjbiyv4j/vewXKSm8uKAn6WtF5kYiLe3rRpzNu38+7dmHDFi0NzeewxzYtbtQrhiNWrrW2OrCx4DLdssWc0//kn9GQDJ0xqqn+v3a9meaCGWBBIkpMRnap/SzZnXQokCIwYgd+o5VYcPsyWvgyBkBDmF5+SS3kR+g3YiiEzk/nUKVYUCHUVKVQOyfvOyoJmVLBgYPr8oR8Pc7nScsq5DidOcPo3P3K1aoEErLp1Nd0vcqW++MKex3TnTvzwjz+2ZpleuMA8fTrP6vI/qRAbMUIzxJYuhQd30iTr9N6MDDiBHnoI1YA0uGGFR3R0NO/ahT4SackOh8LtiuzjT1t8y3EDJ0InN0qa8niQr96oEQLlP/1kPnkPHkTct3dvX/GDmBj0fYECmKz33ed1Wrrd8HoWKYLsJSv219atuMjAgdaeWacT6kX9+oa2U2am32H2ae81sGd27DC9rMhBGVfm24C0zNhYqMRPPaU/575Sm3nYIGuBV7Ag8/g6v0grIz35JFbOgFX86aeZt2/31SORJeoxMybeM8/odobyePzbbPhyeVJSIPGbN+eMNIs+VhQs5QUK8KY5MQHFsokkhFaxk5VFjg0zg2XbrBnen2FmpRf79rHzsZG8qPiT3Lrm+YBnCAtTlWBQFFx3zBjUO7j7buO9LRQFTr5Jk9BJrVoZ2sY3tPBQ98f+/agQ1e0efyn+5rck8tsdfzOPCqSnY5lauBCUOzMkJEAYLVoUMKIvXgRDU53AtvxXhT0HD8N+MCMwCGzYgLZ2QiYnTmCgmPywnBzMlZq3ePjN+t/h2S0wciSzgzy8aXngivXNN/JbTb5nD4eGKpY1VIoXZx7V5YiUNdWyJfgmPng8IIXExfGAAajpaZg063ZjtdcU4HjpJbwHXWHjiRPt1RRQFHa+/SE/3+1vdjiwOIkIWLt2GkGXmwub7Ndfre2YxEQMlGPHLN9H3Prj/GL7LVy2tJuJkBcneBpEGrN0yxaEe+LjsXKYLVY//QS7TKh6JgvmTSE8tPjnH1gYgoYubNTXXrO1QVyekZ4OTVQkzDVsCBnzX4XwXC7/Fo6TJln/7owMVE+rVcte+UThr/jmG/N2ZctK8n68z3f33RD6Wpw9i9XVbONqGRYtwjM99pjk99qMtx854q/nOWIE3qvLhTEVLKM3GHg80AB794YTOyICdUZWrcKxo0fha7MT5boauCmFhxqxseAHtG3rr6BUty5cGLt3XxtBkpuLxVMQvipUgKXxzTdgAc6ZA1+BlWvmasDj8a+aTz9tPX+2b4fQs7MXr6KA5t2rl3m7Bg1gnmghqOsy9ulrr+FYMJN10yaYWCNG5C3aoCh4LwULIgv+am0ibYWkJCQ/i7KXZcpgfMrKT16NKIpd3PTCQ41z56Dldurk3429enXQ03///eoTwRQF9rHYbFv7ycs+MXl9DpEaPmyYtY9u0iS2pIsLPPsswrlmiVi1amFDPC3mzcN9tCSs3FwQ38y4H1r88w/Mxnr1LLdoleLCBb/GeM89/04UbdcuvA+RZ9K2LRaXf4tLJENuLuYChHe+8JAiMRG8jh49oB6WKwcOx8iRMIuvtCq7FqKGh/pjlgh2taEo/tV8wABzUyonB2ZeuXLWrpJNm3BNs8S3hg3Bj9BizBis8loTfckS0O5NMu0DkJAAAVWmjHwDbSssXw7TKjISYftrySYWeSbNm6PfWraEVmY30fBqQ1Fgpk2fDhNJcKDAwL4OhAcRVSGijUR0hIgOEdFoq3Ou1r4tzLDvFy8G91+kN5cqhZJzK1ZcnZVAbG2opcgPGIAV6N/CBx8glNujh/k+LH//DROgf39z087txqQ1qz3apAkYsFq0by8nmt19NzQPOyUKcnLgxIyMNN+jRgYRqRQ+sWA36woGx45BwxVO9QYNwGD+N8iGWpw7B1NxyBAsmJGRWEBr1oQg+/FHUePl+hAeFYioqff/ixDRMSJqYHbO1RQeamRmYuV76CG/FK5WDX8vWXJlWzykp0OtFg7MyZMRpiRCjY516/4d4tHMmRBcd91lTgUQbMsFC8yv98UXunpHAbjjDtCm1fB44PwLqInKWAWJrOsyMaOvhEM4GFIcMyKbDRvCLzVunK0yqHmG8DmFhWGXvk2b/l2CWXo6HLFjxvgLYokF8v77UShJVtXyuhAeugch+oWIOpu1uVbCQ42cHKi0kyYhZEgEqnS/fojsBrOhk0BMDF6iWHFSU1HgqlYtCJJGjTBZr7bZpMX8+fD73HGHMcXa7QYNoHjxK6t10qEDtAw1jh9Hf2qzbUePhsZjRFNQY9o0hFE1NA9TuN0I4YaHY9Vds8b+uXnF11/DRP232MguF7SwqVOhlYWFYSEsVAj+vnfeAdXDyjy77oQHEVUnotNEVNSs3b8hPNRwuaAZPPWUvxp1RARMkTlzrny/mJwcDDJBk69WDcTTYDfODgY//YTf0KiR8WQ9fhwTv0uXvK+WnTvrzZOfftJviJWRAQH60EPW11y4EP306KP2nysuDpwSIry3q7nHz38J4bf46itEvooWZZ9ZHB0N7tq6dcFvF3pdCQ8iKkxEe4ior8Fx3b4tPiQlIW12wwYYmGZQFMRwDxxAvNSKiJGZCX72qVPMZ8+yx4Oat2PH+j30Ppr8F8znDiVz+pkU3vunkxctVPjVV032X83NDdCZPV5GuSAElSqFEoc+x2UwpBGPx3J5Wb0afp66dZnj4+RtZ8zAs2i3JrA7a7HFZGDbSZOw+qv9SbNn4z7btplfe9s2CL327b3n2/BwLloEwVS4MPPcrzz2BaHTaV86ud3Wdq2i4J2npeGlWqmYqanwAsfFBUi7CxegPQ4b5t8Ks3Rp5lsqO/nxfgn8v0/OcWK8hbTIyACJZOdOae2H60Z4EFE4Ef1GROPstNdpHikpYBBGRsJtPGUKOsZIJ9+2DamyJUpANK9aZewAyM4GbTEsDEvX8uW+QaIo4ItMnuzfvk/2KVVKfml2u5FSWqwY4pmqQP62bVhJmjfHBH/6aeaTa47jiy5drEMLioLix8OHm1KhN29GQmDd6tl84tE3dPaYouB2UVEapul779mauE8+ydzt9sD7d+mC7lffo3dvb8LZj0sM2bMxMZgktWszJyYoiPd+8YXhvVNSUHavSmWF76h6hmM6P2mtcgjae8OGgcVejfDNN/Aat29vbpsIaniNGujMWbOMBZPHg4HlrWCU0fFeXjn3PL/xhp8/RARzekB/D898IZZPTJ4Ndlvx4qj6IxNMubnw0H/yCTqmWDG8DEkh6+tCeBCRg4jmEdHHds8xNFtOnUKg//hxDCyjXHBmTNw//oBBP3++edEJZnTwnj1wSkgyqxQFhWvUKf/4KNy0qYVC9NNPiKVKKowfOoT3HB6OJLOBPdN5b9tR+q3BZHA6MREs7J+dOzEQKxbP4MMH9QIhPh5jsnVrVRTEZjLfgw8y16qS7RvMigIBoN4v9s8/0VezZzM8ipKBn5wMh3PJkqq+XLLEkNixdSvMv5AQsDJdb7xtf5u5xx+3t6Wb2w0h+uKL1n2RnIzxOH++pXbsOnyM/xi1gF8fdZE73JrI4eGKj6Z+993w9+ze7X0Xf/yB1Iq9e2G/mDmMli8Ha1Jo3Ca1CK8X4dGWiJiI9hPRX95Pd7NzypSJ5s8+wwDJi+PyWkJUI5dpILfdhkrp+/cH70M4cwYLkRBOnTuDk3K1PPf794PbUbq0fJcEUUfUTB7LMGwYmKgC8fG4jnoz5iFD8LvMoj/dukGAyup0qpGbi7kcEoLJFmwIl5ntxYmDhNOJuS1TCBQFRLfPPkMBJhGFczigTEycCOdusH6LK8F1ITzy8gkNjQ6YlDVqoLjtlClgRp448e+Gw2QQpKyoKAwMQZN3OCBE6tSBubNrV3DPevkyJnD58vCNNG2KUOXViNAcO4aJXqyYftIpCngfERHB1Y544gmQsAR++QX9IjYkSkiAtSmrG6LG5s3WysCxY34C1iOPWGel/5t4/XU8V2QkHMiPPYYiVH37os/VzOMRI7Arno18xmuGG1Z4REdHc3w8tLA330S8WtSTrFQJv6ZIEUyup5+GRbJjx5XxNPKCWbP04cjz52Emq2ny1arBAbt1q32GY3Y2ri18LbfcgtyMK12dYmMROi5USJ+EmpAANmIwC/Ozz0IYCbz6Kt6TsKTefRfPH+zG1WooCqJeFSrAjWWrXse/jLlz9ZooEbSpfv3guomJ+e8XPYEbWnjIkJEBE3DmTBCQ2rQJ9EG0a4fIwv33g4i0YgXMgf/qhWlp8kRYlZ56CuE1O9qE2w2XScuWOL9MGcT4ryQUee4cnuO22yCgrwTjx8PhKzBsGHwXzBCUNWroeSDBICEBWqcI3f4X++/I4HZjwXrjDfjZRalA9WfIkH/XFAkGN53wkMHjgURfsgQEmd69/VtEqqMhjz6K1f/bb+FHEv6vnBww9EaPBjdhyBDbtw4KqalQy0eP9m8BUbIk1O/ly61p8ooC1b57dyRbVa2Ka9nxq8qQkICyBmFhqo2l8wDhf1BDaB0rV3KeGKICq1fDfIuIAPX+36pyL4OiwGyaMQOFoURBJiJElsaPh4Yp2KZWzN3/GvnCwwQpKQgYfPop7M/Bg/0ZjuIF+5OE/P926XLFt7aEoMkPGuQn/RQtCo3EDk3+wAEUSAsLg2k0eLDltrJSpKbCBg8JsRe1lGH1atTlkE3sn34CizXYmifZ2TCHiBBRtdrA6Frh4kUIvuHD/YKBCIJ7wgQcU284NnUq3qOdmkT/NfKFR5BwuVCGctEi+EpkNmqhQkgXnzQJ7Q4fvrZ08pwcmFfDhyPioKbJL1hgHm2KiwMdvlAhnNetW/B7eGRkQGASBb8f77XA33/7q9mPHv3vqv2ZmdBCJ0xAwl/79niOYsWgbcyYAe3DjL7x/2F/FzvIFx5XCI8HvhGHw695tG0LMpPQTCIjMTmbNcME//RTaDTXImPS5cKqNXIknIOCJt+jB2gtRn6OpCR4+8uUwaBv0QIajF3HZ06O36/w5ptX7/cEA48HpklEBFirdrblvFK43eDAvPUWkheFXyo8HH6Mjz8GZeJa5yKZ4UoKBCkK6Cf79qHk7/TpSBTs3/9mFR7BiHZFsWUob97MvkK4okC24NgsWABfSceO8J2otZTq1RF2e+UVqOgnTlw9u1zQ5MeNg8rcrp2fJj9jhnyne1FPomZNPF+dOogI2ckqzc2FGdW+PUix/6aT+cwZ/7YXffpc2xBmTAzzl19CsytRwp8q0KgRiiqtWnVtc46CwYwZWMR69ICJlJkeOLg8HpR03LEDWvI772Dh6dGD+daGChcpougcuQUKIKhw8wiP2FgUlahQASN83jzkuchyjRUFsbzWrZFaOWsWlnMjN/3ly8xjxvClW+/iFa3fQBjEYAt0RWE+89MOXtHqdX6rwif8QKtYbtrIxSEh/pcjQsgjRzLv3u7EG+3bF2qLFTHh6FHYIY8+GuAJFcxnNU3e4VC4bZ2L/GHP9XzqUKCTxO1GAZ/oaLQtX5552uRUvvzNz6bqiMcD8iUR87ODEtjjtilBjHYal+HkyYDSZD/+CMdxVBQYqAFCa9cuVRlxC3z/PdigmpSFxETcY8QIf6lKIubKhZL5kbtO8o+LFeMd7xUFMdZu3fBCzfYHzc3FLL77bjD8pk83Vlmys9H27bcRN+/TR8rcE2FuhwMM1DCHi4mYm5SN55q3eHyakqjJSsRcoqiLG1dP5t4NjvGoiC/5/Wqf8OLJu3nnTvhwRP8GIzwcaH99oFmzZrx79+7ALzMziRYsIKpalSg8nOjMGSK3m2j4cPlFDhwgWrqU6M47iWJjiaKiiPr3l7fNySGaP58oK4uoeHGiChWIOnc2fsCDB4k++oiofXui+vUp69YWdPAg0d9/B37mzSPq081J9OWXRH/9RTR5MlGdOuY/fvduohdfJPruO6KyZXWHmYkOHSL66SeiJYs9tP9gKLVppZDTFUL9+hH160dUu7a/7caNRO++S/Tbb0SdGidQo7vL0NixRJUqyW/PTDR+PNGHHxI98gjR7NlEoaHmj0zJyUQlS1o08iIujqhaNUpLIxo9muibb4iaNcOr1XXNli1ETZsSFS5sfd0vvyRq3Zqya99Ov/9OtHYt0bp1RPv2Ed1xB/qsY0eiTp2IOm9+iWp3qkaOx4YThYQYX5OZ6LXXiOLjiaZMwdgzQkYGfsyJE0Rt2hD17Wt87fh4omXLKK1UDYpbfYTi7hxKp7NK0/nzRMePo4vi4ojOn5efXqsmU7PmDqpWjahaNaIaNYgqVyaqdnY7FTn5N1GVKnjBq1YRPfggGmjgcDj2MHMz4x8U0A//vUZh9/Nvp+RfC3g8moUnGDsgiLbHjsEPI5iXRCgKM2VKIE1+716EoUNDYdM/8ojxHkaKgvOJwJm52k7A7dtBemvfHqHeq1H499NPsehHRrLPb9G+PXxBf/zx77wLK1y8iLzORo30+yqLkG+tWvgdjzzi1wLFp3//4JQ8M9BNY7bkwxbi4uDka9fO7wB+5pnANidP4jtRkrFXL2+avATvv482PXtenWpcLheEUmgo/Dhbtlz5NQV69QLpbexY8EvMijb/V8jMxDP27Ilo37vv+rfzOXdOb1EmJaGvSpeWbvp2RcgXHvkwxPnzcAxu3Cg/npAAKnmpUubVvb74AhGcrl2vbELGxIDVSgReytWOVv2b2xb8m9i9O297NlshX3jk44qRkcG8dq15m+++wwrYqlXwWx8oCqqoFS4MvoTB7of5+JcRjPC4rhymFSo041GjdlOhQvCVqf8tUgS+T/X3ERFEDse1e56cHDj0liwh+vhja5/njYilS4keeICoYUOiNWuIypSxPic5meiJJ+D8i4qCA9nM53i94tgxOKUfeAAO2Ws5FomIFAXxg4wMovR0+PnT0vC39pOZiTba77dute8wva6Eh8PRjFGRUI/GjRG4UCM0FEKkbVu8SK3AKVwYwYDwcP334l8hlNTfp6fDif/pp5gIRESLFhENHHiNO+D/KX77jei++4iqV0c0wyhiQ4RIx9ChRAkJRNOmEY0ZYyNqc53iyy+JnnoK/1+/PtFzzxENGkRUoAACglYT2ep4ejqiKjt24O+srMD7t2yJYzKEhhIVLeof1+KzadN1IjwcDkdXIppORKFE9BUzv23WvlmzZvz777t90lX9b3a2X8pmZgYeK1SI6ORJkp5XuDCiaDk58nvWrUv0zz/Wv6VePUTCxMsQ0VQhcMyEkvpYWFhQXfj/Blu2EPXsCc1j7VqiW24JPO50Er3wAkK99epBY2va9L951mCRm+ufrGLsyD45OUSXL/v/PnKEaM8e/fXCwiA8BJo0QejYCGXLEnk8gZNcfGrXxr1kx4oXh6CSHTPSyoMJ1f5nQ9XhcIQS0edE1JmIzhDRLofDsYyZD5udFxmJj136gF243ZDcWuGSleWX+pmZRDExRF98gYHicCBYRoSJn5FBdPEi/i1TBrSPzEz5/apUQVhf9vvuuovo8GG5NlSpEp5VpiUVKgT1uECBq9s3dtC+PdH69UTDhhENGADhUK8ejh06RPTQQ0T79xONHEn03nsQnNcKbjfoPmLCayd5bi40RvUKLv6/UiVMeHV7lwvXrVeP6OhR4/tWrozrignq8fiPqcfK4MEQrnYmeaFCmOj/H2EpPBwOxzNEtICZL1/le7cgohhmPum9z/dE1JuITIXHtUJYGNS4okWt2374ISbE+PFEq1fjuxkziFq00LdVFGhFMq3n7Fmi1FQIDPX3BQoQlSsX2P7sWb9w2rsX36sHp0Bi4n8jPIiImjeH+dalCwSJEB4HDhBduEC0fDlRjx7X/jlOnyaqWdP4uNAmZZO1cGH4b8xW8iJFAlfwyEi8r6ioQM1x3To/p7BlS/jFWra8tr/934QdzaM8QSvYS0Rzieg3vjq2TiUiUq+9Z4gouK7NzSXaupXo11+JGjTAWyfCW2zSRN/+wgWiFStwzmOPYTkoUQLnaqEoYHUuX47RceedYJh69fGGDUHUW7uWaOVKosY1UokWr0H7gQOJGjUiqliRQkL8pokwZVIuM703OYk+nFOcqhS+TMdiQohKlTL+nTk5RJs24UavvUZUogQxwxTQCqXixQnL7tq1REOG6BwKzFhJc3PxcWZ5KPfgMcqtWZ+cTu93TtVx7//36uWdGE4n+sMAt98OwUpE1LKpi3bsDaeBA4m6dSMqVsz4J8quu3s3frqYoOITcS6WIsqXpAJli1JEhF4FL1eO6OuvvRP8yC4qXL4wFY6uS4WLhlCRIngXUVESoue0aTi5Rw/8a4ZZs4iOHKEJ58bQp79UpdGjHfT884EacbNmRPf399CARsep34XPyfHn/7V35XE21e//OTNjZox9bZC1ZCmRsY8lkhApJRQqSaFNSmihKBXVr71vpJJQSFIqlEKyk33sxhhjxmx39ruc5/fH+37uPeee9Q6T7b5fr1vj3s8599xzPp/n8yzv53muJarax1iyORyQtKmpmKd9+kD6lCmjHZuWBkceEXawyEiivn0x7wLtkZMnIVGJ8PDnzMF5e/UiqlrV/HeawFJ4MPOLkiS9REQ9iOghIvpQkqTviOhzZj5S7G9G9XTN12kGSdJIQu8WqhPokj97FnrkgQO4YWI2VKqkFR7MsDkSEjB+/34cU6eOvvDIyfGPFVtLWJjGmL/1Vu/usuck0YEDJO9PIOfuQ1RUsS45S9VULcKEBC99fAlRXh4e2umcsrT4u1wqKu9fsBERsJ19i/esk5z7qlPRke5U2l2K0vLJcKHHxDClHqtIRVl9yPlKmGpM69agpasRTkRNqHlzUOeNkJXlXfwpKfDSmSAyEo7CQ0ckKizEbm0qOIiI0tMxkRU6+qOPQsvSoh51bpVHaxW+cyFEoqKwNtPSvP/Oa0BRkUyR1WWKigmjqCgI8YIChTASwumP5lS9spsKNhVSVEOmyChJJbRKl8aziYoiilztpKgkol1ZEhUVIary8ceg1g8ZAudx+fJE335VRDR/PdGf+4k8bjgp6tbVd24VFGBepqZi3jVsiF1K5BUokZ2NsUT+OXrddRgbKGzOnvWPdbkwvnZtqIbnIDxsO0wlSWpOEB49CQ2q2xHRKmYeX6wvlqT2RDSFmW/z/nsiEREzTzc6plWrVrxp01bdndFZxFTklHzvKz8jgizQG6/8TPm5+H/58kSnTjE5vedWfvf11xNt3KgeLxxh9eohdaY46NwZDkiBUqX8k/zaa2G6KBeL8v9Vq+JaAj+PjCSKjYWGondcmTKQjYHHiH83bWrPmZuTQ/Tkk0jBWbyY6M47sSZKlw7+PmzbBh+CuL/KZxMerhawys+ioiA89D4rKoJGcvq0/mft26vvvRLNmkExCAZC2MTHM+3aJWkFVhT2o7Q0pTBjivIKrshIvzkUeFxkpNfMZrWg02hqymNKMUVFS4YRrvPqMJUk6UkieoCIzhLRbCJ6jpldkiSFEdEhIiqW8CCiLUTUUJKk+kR0iogGEdF9Zgds22Y8gVu0kDShWoFOnWCpqAHBUa0atEW9BSUebEEBHkxMjHpB1a4NhSTwuMhITFBJUr+3dy/RX3/51XEi/J4dO9TnLVUKu3VkJP4uaX7A+UJODlHv3hCoS5YQ9euH8OSffxJt2WKea6aHuLgSuUxTMGs3kcC/lf9+6SVoR8IhetVVmFMDB2IjEePKlkXCmt75ZBmC0P+ZpBpHhDmqh/btif75R3+C6IdqMTY8XH++BwM7Po+qhFaQJ5RvMrMsSVKf4L5Odbzb64z9jaA7z2HmvWbHxMbCW6+3q+otVr2/A3fViIj/fnFmZyNiM3MmFtQNN/y3318SEILjn3+IFi6E4CAC/2bpUqIffkBC6cUOMYfsLqRZsyA8brsNydGdOpXMfGKGMNITYHpCzunEMUqN2+gY5evwYfvXdEmRxHRT8i9hFBbCjDDzlV4KCBQcygoHHg80iLw8hJ9Llbpw11kSSE6GViAiS5c6gjFbglQkL0+cOEE0YQJ8gf8loqMvH8ERHq4VHER4/7XXiGrWRATkckPNmpeP4AgWV7TwcLlgOjRuTPTmm3DwCbjd2FW2bUOEdM4cotdfJ3riCZCgOnVCNO1ihSyDpPbpp2DQlgSUGsfjjxvXVOrdGxrI5MlaCnUIwSMjA0LroYcQpLpQuETJ0MUDM/wNKSkIra1cCfKVwDvvwIZNSYH3mxnRi7Nn/WMqVoTvJTb2v79+MxQWwhG7fj1ef/+N8CoRQogix+J8wcxUCYQk3CECTgAAIABJREFUEb3xBgTu++9Dy7uYMW0aqBHNmsEfdcMN5xTRPGe89x42gxo1IDRSUhAt+vJLoh9/xD29777/3nd3Wfg8nE7czDNn/Dc2JcX/Kl8eUY6UFDiFjFCtGlGHDn7hEBsLunL16vj7qqsuHHszEOnpRBs2+AXFmTN+Z1eTJkgG7NgRle8aNDi/E0tPcHg84MaNHg16vR769sX1Hj0KKs7FihEjEC0SwpcIz75ZM4TRa9aEQBFM1JJGgwZEx45Zj7v/ftCbatbEKzYW/y9Xzv53BePzuKSEx9VXt+KBA7eqBENKCtS4pk3hkFOialXcwHbtsDPXqOEXAlu3YnIsX+5X/Xr3vjhNEWZMHqVWIX5rqVIgf91+OyZ0hw4lu0s6HPiuQI1jyRL8vWSJcVRl924QIJ97DmaiErKMUHazZiV37cGAGZvQnj247j178KpQAdR7gfr1/dpJ8+aYh40a2c9HcTqtxzJjriYn45q+/hplDIjUOTOlSvnzcIiQeLh9OwSc0Fpq1PD/HfjvcuWIwsIuU+EhSa24dOmtPiFQowZR7FVMsUUnqG6TGKpUNZxi+TTFxjjoqrs66Hv2s7Jgr3TpQnT8OLlcRCvS29KXX2JXGTtWMZYZK7WgALOmdGnz2Z2ZSTR7Nk5Utap5ggUzrmPnTuSoK+wgtxtJZEJYrF+PSVMt2kHOqHIUHy/5NItWrXQIWB4PVvbgwfbIFQcO2PL65eQQ9enlIQ+F09NPq02V+HjyFer1EZA8Hg09ftgwokWLoCUpU/ffeKWIJr8eRfPno1izKQ4dwnZsJ5d/xQrcJJ2i0Rq88Qakb+fOhkM8HpD/9nyyDoKlXHvasz+CEhIQlt66FeH/666DQGnWxEU3SPvohrB9VL/vDRTewj9/du6E4B89GmZ0VG463qxdG8SkIUN0Y8avvUb04otE0ZEeGtgnn4Z3Pkydbokkuv56ys7Gc0hOxqZ4/DjR6b0ZlJzootO55el0ZhQlJ8nkksPJ5VKro2XKEOXlXaYFkG+6KU5dd/b4cTShJUKT0EmT0NRi9WptiSTReqFOHRTqfO45tJffsEGvoBJKY40ahbHx8cwffoi2ZUZYtw5dp6OjUV330CHjsYWFGNO0KXN8POcknOLVq1Fx/9ZbUV1LFLetW5f5vj7Z/PFNn/Gu5vezZ98B4/OK3/nZZ6iUa6em36lTaANh0QnK4cBtCA+TedF36uK/mzbhWv/v/wIOOnxYc56jR3GLJk1Sv5++ejt3aOtmSUKJQ1P8+KN1mTOBN99E45WA1gsayDLzgAFoxPPtt+YFjmUZbevq10cl6OPHuagI7T4XLEDx5jvuQDFn8RxjKJfLSLncqnYKPzjMwzNnYnopixwf3JyJpsmjR6PXZ3y8buuF06eZF316lh2fzEPNyBtvRIXn8eP1a0ImJDB/+SXm3MiRLJeK5Mx6LXj/p3/yH38wz5uH7hRjxwZXSeyCC4RgXoZlCLOy9Lsd6UGWUVXWbnFLj8d64gWOdzr5t9+Y33lHf0hyMuTYU0+h41x4OJ5ERATkz5gxmISJifa/tiThExzhuO5ADBqEXqxW7WcEnn8e50pIUL+fl4ciwEQoiKxcv1u3ognXpYacHObNm2Se+7mTx47F5iC6/gW+wsLQf2fNinxOT7bocK7EqVP229cVFKAitoFwvPKEx0UEWYYUF1XKk5PRymDWLOYHHvD3fyWCUnPzzcwvvoiOZCXRqvJcYSU4EhPx2bhx9s955gxadQ4YoP3M5YLSRIQWA0Ihuv123NNx47QV29PT0TbRTFnIyUGB5ZUrz1/3vnPB2bNQPPWEiHjVrIn5Mm0a6r1u2WLd7PxcERIeFwiFheiBopwAShOkWjUsmBkz0Ou0uH1PcnOh3Zb0TmwlOJihooeFmTdN08PLL+OebNmi/UyW0QVPtIgoKMDiF2p+06bolCfw+ut4v0MH40ZyGzeiA51oBzp1KtpZXkjUq4frufZa5mefZf7zT/TU+eUXzJEHHkDXt/bt/XNIktA29M47seksWcK8Z8/5qxIfEh7/ITIz0c1+zBj93aNpU+bPP4eKfi59gjweTK4HH/QLpIcfPn+/IxAOB9xJV19tLDhycrAgn3gi+PNnZ6O9w623Go/53/9gynfu7K/O/uuv2JEjIphffRWaissFN48wB+64g3nvXu35CgpgDnbrxj4zoU8f5mXLLkzT6oMHtaabHtxujP3+e+ZXXsEG1KQJhHrnzuxrZtWsGfPgwWhKvmwZXE7Balkh4VFCkGXssPPmYeds1sxvngi/hegTKl6tWp3bdx4+DPtf9FMtVw5CY+3akms6rdQ4Fi82HvfBB7imf/4p3ve88w6O1/NvCyxY4F8Yp07hvYwM5vvuw7E9ezLv34/38/KwcMqXh2AYPtzYb3T4MLSb2Fh01atRA07cI0eK91suBAoL4cOfN495wgQIQqHNEMF/UqYMc5s2uBfvvAM/8+nTxnMnJDzOE9xu5p07EWgZNAi7sHgwXbogwPPqq+itLTqoyzIiCl99hUU+c2bw3+twoKt9585YxJKEbvFff13yndrtmCrMuDfXXIOGTcVFQQGCX61bmwvCVaugbdWtq96pv/sO9yg6Gv2jxS6blobIQXQ0NL/x44193i4XNMc+fdjXmPyWWyC0CoPwWV5McDgg0OfOhVP+lluYq1dXb2qVK8OfMmYMolvr1kG7CwmPYiIvD6bBtGnY0W65xX+za9ZkHjgQu+2OHZaRzaDh8WAHHjoUneGJmBs2RPj2xInz+11GsCs4mOGgJEJU81wwbx60M6vv27oVPqOqVREaFkhOhjOViLlrV/W9On4c91OS0AP2rbfM22OePAlfiNi9q1SB1qdnAl2KOHMGG93778OX1L49NFm1qR0SHraQmgrbcNw4hEgjIvw38YYb4Az8+mvmY8dKzkQ4eBDOsTp18L0VKiDKsGFDyX2nHoIRHMzQvOrUOXdfgdsN7aBRI+tzHTwI861+ffg+BGSZefZsaCfly4PSoLx3O3cy9+qF+1u7NiIXZsLf40FUZsAA9PcVztg5c0pe8/uvIcsQuD//jI0qJDwMbtLBg5gAw4djshJB7Y6MZO7YEXbjTz+VTA9QJbKy4ODr0IF9UZhevaAq5+eX7HfrweFAlCgiwp7g2LYN121mknk89oXf0qU436xZ1mNPn4amEREBwa7E0aN+B+LAgdo+u3/8AROJCGbg8uXW15iait8p5ku5csyPPooo0X8p3P8rXPTCg4hmENEBItpFREuJqKKd4wyFR24uXk4n8+bNzIsWsdMJ9fbtt+FcU9p8lSu6uW8fmd94/CRveOcf807vaWnQjbduNW4bLyDL8GRu26Zho7rd2C0HD4YtTsTcpH4+v3nfTj71jw27JCuLUx99EQQBK8gy2LM2YsEOB3N8sywOD5f5hx+sT81Hj/Jzz8HBaMZLGT6cuU4tty37TpaZ291UwLVqybaEZ/bvW7hrF4+uAPN48My7dPF2kX9mLZ6f4rsWLWLu2xfPoFMnBcn4rbeY//7b8BrXrYOQLV1aZiLmwe2P8ocfyOZ9evPyoN5u3mzd0PfUKUi03FzEX81w4ADzihV4gMnJ5s9682bEf8X3G3Uv50tDePQgogjv328S0Zt2jtMID7cbqkTNmpx9xxD+7dYZ/FKPf7hrq2yf34AIu/qwYcz/m57Oe28by55atWEMv/OO8UOSZRjkVatiO5s505xynpKCLTE8HF7UkyeZGZGACRP8O16lSmAfb57yM8tR0TD4U1ONz8vMR7ec5QcrL+NIKuT9P1jQ05mhf8bHw94ygcPBHB9XwOGSmxd9ZU8fT3psKkdEyPz00+bjhgxhvqZKhu3t+c/R3zIRTDhTyDLzG29w4Qef8T334J4++6w2JLl3L3PLlljkQ2us5MzT6h3C6YSj8KqrcI677vTw/viH8YAsqO+ZZ938UY8f+Gb6g4mYo6NlHjrUIAJWWMg8fz646rVrM69ZY3xih4P5m29A8IiORgzciLablob5+dhjeNaNGxtfd1IS1LTHH8eDqVWL+ckndTeii154qC6A6C5CU6mghEdSEvPCD9P48dsOcuu6KRwd5fHF7lu2xL357jt/eM+nFSxahBtptStnZMDw/eUXNSPJCHv3gom0cydnnHDwxx/DjyLCuH36IE5fWMj4z44d2DFMDP3ERPg/IiJkjo6WeexYSzmDVZSWZnm5fh+HbMtUEZj4nIslyTqkOWAAc5PGwen1PXt4uFIl6w2amZlzctjt9vNrhg7VEqWcToTUw8NlvrqWR3dt5eTASVquHObOIw97OGn9UWuhJ8vM6em8dfFRfmxors/x2KgRBGBKSsDY3bvZ/c9maDZWzp3Tp+GE+O03fxzaDKtXw+Zdvlw/t0WJ3Fx4TOfO1c3rutSEx3IiGmLy+UhCd+utlSs34iFD1LHsmBhERd54A2vdbn7FuSAri3nhQvVu53JBztx7L4hNROAmvP22/bQbgeRkbDqRkeA4jBmjEILnAcE6RwVycxHiu+su67H9+jE3bx7cdW3fjvO/+ab9Y2QZi58Ivgg9h+bmzdiYiXBf9cakpiKsWbkyImsTJ9oUYl7k5sIRK/xY117LfM89MFU9Hviy6tZF+P5i9pVcFMKDiFYT0R6dVz/FmBe8Pg/J3jnjODYWD+Xdd+G0Ol+0XLvIzYWTlQjU4N27oTbHxuK91q2h9WzfHvwkSU1F5OeWW7CwR4wInvZtBYeD+f77gxcczEhYJjKmgCvRsyfIScFChKoVbgpb+PpraA5t2ugrXvn5zE8/DV9Iw4bGxLYjR3B/BBfi7bfNw7t62LsXPJMqVXCeunWZ+/f3b3jPPx/c+Zi1FHRZhpAtLkHPCBeF8LD8YvSC+YeIYuwe06xZ3AWV2kVF6sS2ChXw/4gI7LRLlxYvXyU9HTtdmTJYAI8+au5eKS6ExlG6NK41GHg8YCy2amVPKHbrhghWsDh0CPdz1Kjgj126FFpfo0bGQvf33xFiDgtDKN7oeW3fDhIgEcZ/9VXw3J7CQvBgunf3zxnxevvt4M5TvjyE2QMPwP/6zz/s9beYM3SDxUUvPAhd5/YRUbVgjruQ9PT0dKjhgZNg6lQbfggDZGWhHEP58uwLL9oxcYsDpany3XfBH798Oa7xm2/sjY+PhwApDkaNggApjgD96y8I9Zo1oRXqISvLn7nbogWS0YywejVzXBzG3nUXXBHBbmAJCdp5IxL07PxGpxOCcehQkN1ELotIlIuMVPNezgWXgvA4TGhyvdP7+tTOcRdCeOzcCXVXSSATD40IvqdgkZMDs6tSJf+kNJvA54pzFRzMcNLfdpt9M/Hee2F2TZ4cnA+DGSZLTAxSAoqDXbsQSq5YET5yI/zwA0L4kZHwmRlpFh4PNIiuXdmXmrBxo/3rWbbMP29iYrRU8a5dEZCxYx4VFcGPKoSI8hUXV/yNTOCiFx7Fff1XwuPMGeSztGiBOxQZCT9Ez57IoZg4EaHfHj2gBttFfj4ivtWq4bwjRtgL5JwLzofg2LkT1/vGG/aPad4cplxxNZBJk/CdOoW0bOHYMZhZ8fFsyl9JTYXwbt8eZpZO8TMfioowL8Tiv+cee1mxzHCaB9biOHUKiXwi6bFRIzh0jTQmgRMntIJDual16YJ5WpxiUiHhUQwUFcEBescd0DI6dYLz86OPzp1xWliInBjhVL31VmtHl8cDHsK5fLfDwdy797kJDmbY2TExwRVUa9wY4doePYrnOM3MhGbWs2fwxwqkpuI5hoWZs1cFpadCBfid/vc/c9PE4YC5WbYs7u1jjwXv4FVC5DU984w/K7tdO1Du9SKveXkQMiJ9YssWmGKbNzO/9BLz9df7hUmPHqh3csAGPYg5JDxsQ5ZBHH38cb9nvEYNZGFaEfzswOkEh612bZy7c2d7BXwOHMCOaUUBN4PQOK67LvioihKnT2NCjxnjf+/XX62T9Ro0QNSif39M5uLgo49wHjNelRVycvyOz6lTzYVCYqLfudmrl3V4PCUFc6dBAwieF19EnRJmaJmffx58LkxaGriLTZrgOsqWZX7kEbClg/G1JCTgPG3a+AVJkyYQONu2hVLy/ZBl/2v7dssKuskn3TxjBnP/bplMBA/9wIHgaWj4O4WF2Bp27IDX0AppaezavJ2/mHiA69eHKtyuHch/mgd24ACepNfh4XRil4iKwq6rSvBKT8eW6GWumsGR6eb4WsfsE8C++MIw7PDSS1CFDx7Ev50rVnGFCjI/9JD5Ka++mnl4nzM8dGAR161r8f0eD7bPANp0fj7IkG3bBty7lSst2bM+fPQRO7fs5CFDMNvHjDHwbcgy89Kl7Fm5mj/8EBGpSpXAvdLA6YSTYt8+ZobTc9AgnL9qVRSCfukl/Puh+wvhZc7Kss7xP3wYKqLLxXJ+Af/9Nxy7MTGYR82bQ4PNyGDcr++/x3OzCAOdnL+WPxj5L3ft4vaVHahbF6bh2rXqw68s4ZGRAW/ehAmQAG+8oUt/LCjAc+l9UzKHkRvRjWZ7+dPX043JQKmpeGoDBoByrqINauGZ+Q7Pr/oEX1c5jYnAdDVMvjp0CNzofv2YHQ7esYP5ppvwRPr3DyCWyTLsqUqVLK/B4WCOb5jC4eTiRVNthG6SkqBu6YR58vOxGO64w//e79eOZCLrUG/16syPXf0jj3owj6tWtbgG8ft0vJCzZrH6+woLkZiiKdWug6ws2C29erHHAz4OER6nZh3LMpwfVaownzzJCQkQ+jfcAMGgYnLLMkgvEREqe2jrVn8ZB+FQJ2JeMnYd5lH37uaqSFERpNW992Ly/PGH72fMmeOP+kRHMw8Z7OI/X1rF8uD7cIGjRhkLp+xsCLBhwzjt/qf483af8eAeZ30mUvXqYDL/+uuVJDyOHMFEatcOUjgAsgw7cNQo5ooVkedwddQZnnTjcj6wy4KQcfYsPJoPPAD3tgk8HubFk7bx9RWTwCy93s1Ll5qomfn50B8/+4wL9x7mqVMxIa66yqBy1/r1mKwWDhCYKjKHh3l40Zc29eWNGw21mdmzMUOUZsNT95zkqChrdbxCBeYn703mZ5/Fb7NEaqpvJ1fC5YIjsUkTxQ7pctknqng8oAMfPcrMMAOrVoUAESaG6stWrMC9lmV2uTC+VCn4q37+WTE2Kwue2Gee0Vy36AYiXmXKMCfNWoGxU6ZY09NTUqAi3XWXJlFv+3bkRgmOUcOGzB8OWscpNw/EB1YU65QUeLDbtuXseT/ywoWQVf5au1eK8DBAUhLz9Olw2rVvDxX0/vuh7Z5LER+RtCsgy9AsunfHJtS4MUJ6dutGbtjgt23Hjz9352hxKOdGkGXsuvfe6xeCsozIQO/e1sfffDOKKs2cCdl+LnU/Fi/GPfriC/X7Z88Wrwj0/Pl4Xi1a2Esd2LED94II/gez9Zmf7w/rK7UPIsOE3WIhLw/EtU6doJFEREBjXbGieHO8oEBwea5A4ZGfj0nRo4e/nFzHjtg9z1dLgxEjcN5ly6CMiMS3a66B0LD70HJzkUchSXCmrlhxbtflcOC3dulyfgQHM/w/RMifEtizB+99+qn18eHhUK5mzMAxml0+CMgyIl916qi5EHffjR24OFXQf/kFvoQGDewRtQoLIeAlCQLUSGh5PHBNTZwIivrIkeo+Lffe6/cfnS/s34+0hqpV8R21a4NfU5wKdFeM8JBlaPSTJvlZmnXqwFl1vundCxf6J4BI969TB8IpmPya1av9cX07WqYVhOA4XxqHQI8emPRKP6pocWC1WN1ujHvlFfiuiYxDmS4XIglWgvf33yGklYLr0CFolb17Fy/ZbONGuDiqV7fPt1m3DgKnTh00HbSb95KdjQzfMmX89PtgEyatUFQEv16PHhBykgThtWSJ/Tl62QuP48cRdrv2WvyCmjXhmvjjj5Jp6HPkCCapUgV9+OHgCuRmZiIhStip56PnSkkJjt27cZ3TpqnfHzIEbEgr5Oezj1Q2dy7+Ntpt583D53YWb48eWOxKLeb993H8nDnWx+vhwAFEHsqWtd/BMicH/nkidQ+ZXbusr+P0aWwarVpBkLz88rlpZUY4ehSb6DXXsM8pOn68NantshUe9erF+XpuEMGu/uKLkk3DX7NGLTTEK5h082XLIODCwsAoPB+lBktKcDBDMEZHq7NTU1Kwk73yivXxqMINnsH33+PvHTv0xyYlsW0+y9atGPvyy/73PB6Ya+XLF78956lT8Gl06QIN0y5WrIB2FhEB7bdmTVzfn39aH3vwIEwYIjCO33+/+E3AzOBywZfRr5+/PUiXLiCX6XWfu2yFB1EcN2iACWw3zF9c/Puv2mtepQqE1a23gvX40kvW50hN9cf/mzXT744mUFAAZ5wdQlR2dskJjjNnwDN59FH1+59/bi4EAs9BBCr3b7/hb7M0/oYNUYTNDu69Fzu2MmJ95Aje69Gj+LUyMjLgfJSk4PKV0tNRWlJJD2/Z0r4GvHmzP2emQQP47UqqHeapUzA9GzRABKl+fTBVlRUzL1vh0bRpyafk79/v3xHKl4egClatlGVMgqpV8ZBeecV8VzlxAmosEcpomsHhQKQtLk4tODIyzk87iHffxUIMpH306wdHnJ37n5iI3zJrFiIMROZZnyNHopKXnYhMQgKEZmCXuo8+wvuBRZGDQX4+2jgSQZOwO9eEdqV8zZtn/3tlGfdHZG3fdx8igyUFjweb1ODBfjp8mzYoyn3ZCo+SzG05dAg2fblycIa98EJwuRwCSUn+0nht2lgnOf3xB4RMuXLW1AWlqaLMVcnNhfC5//7gr1eJggLYxv36qd/Pz4eTePRoe+c5fBiC96uvkFQnSead5xYswP1S9mMxw8iREMpKLqDHg8VQtuy5FVByu3F+IhRxtiPQAnkd4qVT5c8UHg+ETsOGOP7WW0s+cfLsWfDt/PkwV7Lw2LEDjgU72L6dj706l4cPx4IsXRoedN205m3bTItZyDIkd/nyMsdEu/mDx3abagKyzPz2my4OD5e5Sb08y8Qlx9E07nhjloZy7nZj8oaFMf/4o/fNrCzMQpMq2T4UFUGXdTh4zhzMiEDH4U8/ebWHH4ug01tkge3bh/ELH1/Hh/84wUQQJEY4fTgXDtan7NVaPPW/5Rwd6eEHH1S/f+wYhEe3bgrV/9tv7XVtkmV4O1NTWZb9jbj79tXxDRQUIOzj9ZhnZMCv8O672DhELlN0NPOX72ez/Mmn9npR7NvHPGcOF+Z7+N13/flWgwbpZPuuXYtnbEfdXLoU98FEEsqyKDB0pQmPVavw9AYNgo1gtmiOHmWePZtP3v0UPxa3iUuVkjkqCrwLTejM4wHbbNQoBO4N7JcjR/zNk2+uuosPPfSaKQUzN5d55IMFTMR8d/1t7Eg1j/c5HMwdq+0H5fwbtf0zdiy+V2Wnz54Nx4WXVWmKXbuYw8JY/vU3btYMvpnAOT5yJBZlYa4LX2bRgmLHDgz7vsKDfHrJ30wEs8IQBQXcJCKBB7U/Zn29aWnM113Hb3T9lStV0nS44P/9D9/98ceMxXLzzXCG2MH48UjK8RKDPv4Y5mGXLjoEvvnzcbN++UX3VEeP+htG9Wt1ks/0ewRkDDMBIsvw2PbvzzxpEmcdOM0vvIBNLSICpprP1+N2Q2W76y5samZp004nxt5zD0qY/fqrvreULyHhQUTPEhETUVU74zXCw+OBqkCElEaroPu+fXw6tgU/Ve5z7tSuiEuVglzQZWfLMoqRli5tqHG43dhtYmKYy5Vx86flxrHnviGmMdxDh+DZb1zhFE9vOIvlDea5+Q4Hc8cWORAcL6srBn34IX76k08GHHTvvfbjjgsWMH/xBa9axbohT48HGaY+k2jkSMtTbtqEc/1012zOyXDa8uU81fcIl4l22eMjHD7MGcPHccWKqEqvhCxD3S9TxmvWJCdDeNhhkiUmwlZReMMXLYJfoGlT/zxxuZgLTqXDjmvc2LCXjtuNKFJkJHNs+Vz+ocIwe97Y5GTYztdfz3z2LCcnI+2/SxcI8SlTFBFGtxvhMUmC5DSDLMNOLlsWrDsdosklITyIqDYR/UZEJ4otPA4dQsLBvn2GklQgLVXm5+49zqWjPRwejr4jphGbM2fAIjLwdO7di4JARCApJf661zJm/NNPYERWrizzb19ZM4QcDuRgVK3s5kXfqXesn36CqdK3b4Dm6nbbM1cEvBO/d2/4OwLl75YtrDY7bJQUX7cOx6z6IYc9HtaEV/WwaBEHR+E+e5anT2fdSE5iInwuXbp4zZdg78mxYyoN4Y8/cL7ataF0NWyo4Lvk5lqG/vbsgROUiHlY7zTOTLUhIWUZtsrOnb63DhxgX6+a6tWxeRQVeccmJUGjsKJTu93w0P/5p25o71IRHouJqDkRHS+28LCBjAw4P8uWhXAeMiR4evC+fQhVMkMDnDoVu0mtWlBKrExZjwfWlCQhc9ZOmFnpHA3M+duxA9p4y5bWbTrsYP9+9jFCA/HSSxBSNlrB+PD77zifIMLFxEBjN0NaGo7Rc1clJiJ0HHjf8vLAs2jfHtq40j8h/DezZ9u/bjPs2IEFK7gSRMHVfCkqwr0MD4dlZFcx1MPGjRCMIjUisA3IueCiFx5EdAcRvef921R4KPu21KlTx/ZNyM6GSSGyDwcMKF63c6cTBXWIkKchwmn33mtvM8vMhGpNhAK2ZgSxd97xk96MeBwnT4KMVKeOtlhNccPYEydiAer9nhYtgq+CvmIFfq+ollatGtRuKzRrhiTDQJw4AcH74ovq991uv/YnXqIWrCyDNxMTc35SFZxO3Acln2Ps2ODPs2mTv+/tE09YKsyGkGXc52bN/PP7fFRRvyiEh1nfFiLaREQV2IbwUL7saB65uaBFV66MB/zggyrNL2i8+656clavbj8bfM8ef1nDDz80X9xnz/oT+urX1xccDgcWc7lyWkdvNBGLAAAgAElEQVShwwEHnR12Y+D3li4NszkQolamlb8iED/8gONEmLF+fWh8VhAuJj2XUa9e0PSUAQPBx1G+tm71f56UhM2jY8dz35lFEWNlpmyZMsGlKAjk5cFBL1IVlJnawcLthu+2Th2cr0eP4td9Zb5IhIfhFxI1I6JUr9A4TkRuIkokolirY82ER0EBFrooTturlzmj0w7OnGFVz1sicAns4LvvMLliY+3F+0XtDPF64AH15y6Xvx6pHuFq6FAIHzsNmZR47TU2VMGFQ9Zu/UuBpUsh5MQ5+/e3p3ksXYrv06t4LohYymJus2dDMCsXdKDP5Kuv8P677wb3GwLhcsF0HTCAfa0lieBILa7G9/vvMLXCwqBVnQs9vaAAplvlyriu+++3F2wLxEUtPDQXcI6aR2EhQu4ir6Bbt/NTNyEnR9tuQew8Zqqmy+UPAHXoYL9NpDJnR7yEkJBlOPaJ9NPhRXLZ5Mn2vsvjgYZWVASfgVEk87bbsDMGi6+/xvUI31K7doiAWCEjA/dXz+/hdKJYkrKqGTO0G5EgqcdklWUs0Oho46SwnJzgEhVdLowX7Mynniq+ZpOVBe2YCP4wK1KhFTIzYYaWLg0i3fjxwbVjuCKEh9OJnadOHTiPOnY8t0K5Sqxc6Sf6lCoFu3rKFOw8Zoy/tDR/GbpRo+zvJCK0KV7h4VjQwkH43nt4/9lntcceOYKdMD7efsGdDz/Ed4jiuHpUhexsLPrx4+2dUwmRByPqSdxyCwSpHXTvDmewHp5/HtcdKJDz8vw9YuPjtcclJ6OCY/v2+pyqESOw2IJV9z0ev/kxePC5aQ4//ADfUGQkzMRzTTVISoLPp0sXzI+pU+0VY76khEcwr7i4OHa7keYtUo1bt8Zucz5yXjIy/J3EGjWy5EKpsG0bBFlUlH5a9tKloEgEXqfDgR2VCI7Zzz9XE5KWLoV3/pFHtLub04mCRBUqBEfJnjZNLazatNH6UETotDilA0RPW0Ej6NeP+cYb7R37zDO4h3qUnYMH2TAiI9phVq6sHzH/5hsc+8EH2s9SUnCP69QJLqLLjOf5xhs49623nlt6/Zkz4HwRYTPUKcUbNPbt858zNhb1Vcy4NJet8GhQP87X7bxFC9CxNUJj+3YUW7CDrVt9nYyWLvVHOCZM0Jm8mzcbknC+/BI7l8/P8s8/Km/nJ5/4mzArJ5fDwRzfLIvDJI9uPd8tW3DeNm28ptKvv6pay73wAu7Ft98GHOjxwDlgkKP+f/+nFh5EzG9NUdtiw4Zht1ZpM4WFcOZYeAnF+dM/W8zs8fB990HYm2LePObCQl9bS2/tXw0efpi5df1U9hRot3mhwalCzp98wuzxsCwjuhEdrVsqlbdu9nB0hIs7d5atiWp5eWiDp5h8X3wBjSkuLkAApaQgTGdnd9u1i+X33ue5X8ncoQM0BsMeMqtXIx/Cjr20cCFvePFn7thR9jlpFy3SP+9lKzyI4vj665FkpbpnOTlYKCNHIh3SjCiTm4stcdw45uee4zNHc31e+969dcyShARQ1J96ShNnLSry+yK6dWNO/X0XJMmjjzIXFrIswxFGhJRzpdroOJPP8XVOcLjk5kULtPbG8ePYKerV81KSp00D/d6rz65ZA3LjU0/p/MYPPoCObqCnBjpnXyrzNnv2+b2iLhfyKjQRkn374AW2KAj95ps4b265WObPP+eRI6FdGSIrC3nib77JWVkQtEYlD+Z96WIi5tX99fnu/ftj0fns/McfR1iGcR+rVIEw1jPxvnn4dyZiHj3Chv0xdy76kCpUs+XLIeyvvTZAa/jmG8xNO97shQuZ77uPE1fs5u7d3D7nv8Z3Jqjs99wDz7SZyuQdK995Fy+ftoOvb+JmSQKFINDUv2yFx3XXxWltwc2bsYoeecRad3e74T1r3Zrlbdt53jxMpshI2ISaHeeXX+D00EnMOHXKb2c/+yyzK7cQrvc2bZg9HnY6/SbQww+rJ6vDwTyw+T5Qzt/RagdZWWAmV6jg5aacPg1d/p13mBnh1Vq1oKbrksR69kTc02BXEi0IwsOZFz62BrNIMXbtWnyuSZfIzIQ0szDup07F8c64dsxHj/LYsSDpmWLsWJ9m17q1MbekoIC5UplCHljjT93P9+2D8PEpn7/8AmniZcZ++y2ubfp0nYO3b+fnynzERNjUTVFYiIts3Vq1hW/YAI0tNjag9slbb+HC7MRlExKYq1Vjz/ARqh4yuoWKMjPhca1Xz9rOKShgnjGD3Te14vkDlvDVV7NPOAk6w2UrPDTRln37oC6MHWt942QZD/CRRzjxfyv49tuhwrVrZ0AeS05GvHTePI0RvX49JkdMjOKBfv45FndmJufk4IGICIhSPXQ4mOPbubhiVB4v+UybE+F0wnaOiFCQfhYt8jGuRHuRUqXUnAYfXC7kT5ioyaI/zNdfM+y1AE3tuedwfo39Lsu2qg/NnAnOifw9CDEzZnj/baa5p6b6tsHx4/H9RlGtJ59kjoxwG7JeJ07Es/HtJRs3qkJwAwZgw9CLbLjPnOWeDQ9x166ytc+rqAhaXoBjaO9e+FDKl1fs7G43VJOxY609qx4Pzjl6NPPy5b4eMkRoTaRJpfn3X6hqw4ZZpw84nVgHffpw/qdf8YwZEEyShHD/lSM8gvGSyjJ73DJ/8glsvpgYxP4Nvdo655ZlRCoaN4Zqqpp83vFnzsCJ2bat1kXib48g6yZByjKsroiIAKer4lo+/RRPbcYM+9etREYGdrKBA43HN2pkElqVZR492ry2x/jxUJTEuYVD0ZJN6R0vKrcbWUe7duFzryKmQWIivl+Vsq/4nampiGzExek7DzPSZb72WpmvuspWgz7de5iYCEU0MlKHVBjkvGXGnvDaa5h3DRqYVNwvxrkzMvzP7MoRHkHg0CE4tAQBy44nOzfX7zjNz8dxRJDQQsBnZfkXxeHDeLilS2s7s9vpVi8Wma5KzdjRSpdGGLe4vALhjzBi3SYkIDKiF5UQuO46+BaM8PTTsBQEBNnMbiQjJwcCeuJE4zFt25oTtMaNg5VglH8iesF4/eUa7N2L39CqVfFrzqanQ0iXLu0tEXAeoOwhM3Lk+cltEkAFuJDw8EGkRZcuDTVy1ix7wlmWsTNdcw20wpYtcbemTPEvXFnG+1dfjd2yenX4UAIZpXYEx3ff4fyDBukLhvx8LOpq1Ypfst/pxLV262Y8ZuZMXIeR+6iw0M+INMLo0axqMfnFFzhnMIzH9u2hqhtBOH2N2Ltnz+J5B1ZFU+KZZzDGSJAKSvqQIeZzJjPTWEjl5flzm15++fxQCgJ7yOgxcouLkPDwYvduPxGqb9/gmgOhbyf7iGLly2v7XCvJXaKBUyCV2+EA8clMcGzYAJUxPt64JMmTT+K3qFoeBoklS/A9Zv26O3c252QIk2H+fOMxI0aA8SsgOCPBsCcnTcI9M6pykJODJMXAamJKCD6LmYC56iqE/Y3cEML5a1bd/c47ISz1QsDMMDmE83zkyPNTa5bZ30NGkuAEt9tDxgxXvPAQlfUqVsRDnT8/eInfubM6Z0JTcIf9NVjEmPh49SQUGkfz5jpcDC+OHIE2cc01xmnvogyg3jXYhei61rq1sckjkvPMtArR/Epvt549G5pXdDQWfr168C81aIBjKlfG33bo0qI4kVk3PZE1axSZz82FcOjc2fj5iyQ+I2q/LCMaGhZm7IM5eBDfU7OmsTksyzDDiODwPh8LnRlC9NFH4fTs2PHca55e0cJjyxZ/mvIzzwTH6xcQEzcwp0UZa8/KUue+CCEiJpgdUyU9Hc7JypWN8y6SkyFcmjc/twm3fj2uT8/2PnAADlpBgzeLJr78MhaSnh9AlAAMvG/Kf5cpY4+FmZcHje+554zHbN6Mc37yifGYTz6B8DATQkOG4FkaLbycHLS2rFXLOL1/9248x/r1zZ2sgkDXp4+tukq2sXKlv4fM1KnF7w18RQqP/HxMtLAw7ADLlhXv5iUkqCd77drgGH38sX/Hdrv9lHIi+BFEWz9Ztic4ioqQ83HzzeZ9T3v0gL/GSCW2i/79sTvp8cYE0Y0Ik2/yZGO/yoABcArroaDA3y9V8EhEf1/xCqYGRqdOcFgaQZZhYrVsaTymqAjaTvPmxhpXejoWXrNmxuTZo0chHJo2NTaltmyBk7VRI3Pn8Pz54PE0a2Y/cdIOlD1k2rQJPhua+XIWHgaz5K+//OXqR/RL5cxHTLYrJTZtUlEZly2Db6N0aTjaVFrLhg3M77zD+flYiERwkCYk6PA4mmVxeJjHUHDIsr+Izbzn/zV0ZAjnpS/ku3Sp/ToD8+f7Sm4fOQKhahS9mDlws0ZjMFrk99x0mMc8aszfFhEjIuZHO/zLmZn+PsKSZFJFTYefL7QcjVmicEB88AHObaiuT5vmy2sx89Ms/wFsTrNmXr//DoHY73YXeya9qGsLrV2L+dO8uTdH6dQpXU/pqlUgztWtq1jkovK/HRv7t9/ANdAZ++23EHSlS0Ob9Hw5V737meDyFR4BmofDgUzLsDDm+vVkXn3/HNgqVumDsozJ+uSTzAUF7PFg0hBhp1N1F/d4YOiPHMnpyYXcsSMWgV4uSnZqIQSH5Obv5hvrja++iu96ZdRpbBU6HrRt26C29+/vnR87d2LbtxOj/fdfxYGgsEdEGDiMd+7kXztNU5kZDRroax7OfYe4lOTkCY8bxwezsoTwkPlUp4HMu3fzlCl4r25dg4MKC6He/f676u1167DT+1pKMPudB17JnJEBH8uoUQbnnj6dPZ/N5ubN8bvM+Fnjb9nKsRXyefMq4/QGYdq93HcbyHg6tsdvvyGi1a6dV0uZOxce4AC1ZutWmKRVqih61syfj+InRUXWz3rBAuxCOg2GkpPBn4yIYB40SOYTH/6IuLFFDcwrQnj88gtMCkmSeWq33zm3z0B7KaAzZ4KwsWABM+O+jxqFO/HQQwF+hUOHkNM8dSqfOC7z9deD9KPn/HQ4mOOr7Oeu1XabCg5Re2NYh0MsV62m62HLyYHq27evd/fKyMAXm/YvUKB7d19l5Kws7HCGlbzefpuTYuN8wqNmzQDhqcC+xXuZiHnujBT9AV5ERTFHRsrQ4Zct40OHcG69EoPMDIHQtq0mobGgAOfSaEFDh2K8F0OGwAzQ3TO81YBWfOtgIvNbmLkrkWtJSdy0Zoahf0mW/ZGTJTdOQahFB0uXQku5+Wavf+izz0CQCZDgBw/CTxIToyiNsG4dkqH0dqhAHDwID+wTT2iEkyyDRVy2LLS/L9/LYnnYA8ioNFgrl7XwSE/3k7WaNJF5Q/w4GPN2ClUKnfKVV5hlmf/919+388svAzRAWcb20bUr7/otmWvVAutSr2aIw8Ecf30Gh5OLvxtrXDZMFJC5+WaZizrcjMmho3UMHw4NwFdScP587DB2a9517OhTHT7+GD4BQ7X+9dfZs+JXn/AwKw69+Cs0Z9KlxSvQtq23wNDQocx5eex04txTp5oc9NNPulnLXbsilKpCZqaqKpDIxfnyS53zyjLzww+z/Odf3LkzfFVmiukvzyE57vnn8e+zZ7XOx8JC/MZa1Qp5V/2+hjdt3jw8x969mYv+3Q+B/sgjmnGnT8PMiYjwKlSiolTVqvaqZW/YgB/29NO6Hx854u8hc2c/mc90GYBz6xBvLgnhQURPEFECEe0lorfsHNOgQRxfdRVu8osvMhdu2wPj0U4VFlmG/utNDJg/H9K+Rg0DHkBiIvP27bxmDaR2zZqqbHgfVJTz+ca+gIQEOMgaNWLOOJppKOxE4tYLLyje3L3bfqy5qMjH8HK5/MWSDHH0KP/7L77Tm3xqCGFuWVmFN92EdaIsCRAZ6V+QupBlXZXn1VexADVNlxQTX5axqesVAmJmCOjDh319c61KEo64O50lSeYHH4T28N572jFJSSAR1q/n4bPrjL3ZIgI1YIBXCG3YoBs2y8pC6F/FKUlLs18Wz+WC78ykh8yMGXgO1arJvPT9RF3Cz0UvPIioq7dAcpT339XtHRfHLVva69RuBKfT32VNsUHrYuFCf8MfPVXeTlSFGXPgmmswwTVtAxU4dgyZtO3amRds2bvXXtl/wVoNpMoHYupULNAUc2uEBw0Cd8MKTZsitKlE5crIjg8WgofRowcWqxHh6623MM6qQv4jj2AzMFhjzAwNURmGNyKibdyI+XHLLeah0bff9p/HzI1RWOjvy/Lss+evnYISu3f7EyPHjdM6oy8F4fEdEXUP9rgGDeKKHb9mxuIQ/S4ef9xcYRFV0zt21Nn12FpwiAdfUIBxUVHmhZBdLowrV84870aWMa5WLXMBwwwhdM011ozG1q3NqeACN94IU9wK116LJkdK1K5tzgbVw6BB/gUsXkZC+swZLPhRo+DHNOpSv2ePn5Gph/371b1ZiMATMYKg3htYDD688gqE6jPPmCuRbrc/dD50qPEz/vXX4lVuZ8a8nzEDv7N2bXXLhktBeOwkole8LRj+IqLWdo47l8S4TZvgmGrZ0rzpMjNMGiIELPTIUA4HigM3bao/mQ8ehAYxZQoc3GaTXuD11zHOpJc2M/vL6YkmVEbYsAHjzBLcmOGVJ7LuDe52YxFNmWI+jhn2deBi6t0bTMhgMGaMVngYFEfjv/7y150lgi/LCA88AGGuR+bKy4M7RUlwU+bp6EHUMdX1uXghy/AHE1kXupNlv4nYq5fWTDx0CAs/Pj74solKbNrk70n05JP47ReF8LDo27KHiN4nIomI2hDRMSKSDM5TrKZPSsyaBfWybl179N3CQuxeeju2HVMlsNfLtGnm37d2LZiXVsWGc3Lge2nVylqlHTAA9HyrrMt587DQAmuYBkLUD/3iC/NxzPDdBba0bdUKCyEYOJ1wmIr7WK2a/q4tGmsrX+3bG5/3+HHMB71eNQK//47NQZzPLKnP5YJvPSoKpowRZBlRWDvCmhkBmrAwbECBqQvffosQdd268MVt3IholpFwNUJeHgQHkRAkF4HwMP1Sol+J6GbFv48QUTWr44LVPAoLMYmJECkxs3PtwK6Po18/NS27UyfjWhYZGdgxr7nGstUtT5qE81n1gTl+HJPOjNot0KcPNDIrf6zwPfj4CCaoVAmRQyVuvtlc/TdCZqa/oVGzZvpjnE6/r0BoDAYRVB+efhr3aP9+4zFuN+YNkXXTqrNnYa7dfrs5a9TjwbmI9B2xgVi2DP6iRo20mc5btmAziYnx95IpThc7Zpgu0NwufuHxGBG96v37OiI6aaR5KF+2hYfHwydPIpwm1MRgiv7oAYJDthQcbre2UVRYmNqRl5KCmL7Hg0kfEWFdne7IEexsdjqvjR8P344RX0MgLw+7l52EO2FWWQk4ZmhRgb1pb7/dnEZuBsETUdYICYTbrTZzrJpzpaaC/xDo2NWD8EFYdePbtQu/vV27AH9EwBxzufwVzVXmpyzrzse//oIZrIr4ecclJIB9IH63bu6QTc8rCH4Xv/CIJKJ5XvNlOxF1s3OcET1dhU2b+K9e0/nGG2UuWxZFXwzx99/WHZjZHuVcQFQ0F5N93DhthOWJJ/B5ixb4/xv368SAAzBwIHOZKCefWmq+9TsciCYMan3IMiFG1KtYPXoJnB86KCzErjpkCHJ4+PXXLUuCRUR4qfAKrvfAgdg9DWGWysuoF+vLqTFwGsgyBCeRomaqyVb8+uvQCjduZKzoQHXJi9xcmHYNGnjNwOxsw7GiyNBDD+F6Cg4mcvboCRqhUFgIv5lqjm7digmkI0B27YLwqFDBW7/jp5+Yp03jRx6RNSbb228HHDxnDuK/NjbKi154FPdlqnnIMssffczvdfyOIyJk7tHDImy3eDHidhYcEYeD+b7uKVwmPN+UOcoMjaJiOVT3nvyS23CNiYpmRDJHSk5evcp8Z1i1irlCeZk/aD7LchcRWZubuj5vOVkefpi5QgWZnQONq9307InzhYczV6ok8+hGq0wTrjwejJ88mVXhleHDESEyxKhRpg4aUQHt9GmGhDBRq2rVUrSNePVVtOPQ+X0OB/woXbt6P54xw7B9/dq1MIfGjPG+8dFHht5tkeowfjyupVW9VF1ySV4eNKSICAUF/+uvDQXI8eMQwNHR3vD7N9/w+x2/5dpXawWIJmI3fz6eh4XqeGUJD1lmPnaM84aP4fvbHWIi+BwMuy8cOYIH+dJLlovLcTyd4687w+GSm7//zlxw5OUxt7n2LEeHFfI/q81ZVFWqqB90eLhxLQ+nk7lpIxc3iE7igl/WmJ7X7Yb/okO1gwY9GfzweODYHHjTAcRqDZhfgrovhB0R8/SnjMkxhYUY+/qEbBjRXlXtySfhwDW88K5dTbVAkX6/YAFDMnXqZDhW9LxdtoyhXTZpYujxFLkqK1cyHuJttxmqqxMngmvy+++MuTNkiC7f3ePBOOUzzhw3FaGqgImZnY3bHxXlD5kmvPUDZz/7qm4Lu7Q0ZMxWqeI1edasYR40iE/+tpcXLgRNnwgFujVO8D17sDj27jUk9VxZwuODD/hIhZu4ecNcliRENgw3Z5F7HdhFWgcOB3N8raOgnH9mXnjB42Huf1suS+ThpSN+Mh2bnq6eVOXLyfzWW8ZyTEzuH8oPtWTHiWbQiys+bFnlfONGjP2mz3zFdqrFb7/5r1WSZG5Y6ijnZhsTR7Kz4Rj95BPGNumdwW+9BfkQiDVrvGvk+ecDaLVquFwwx0aOZDgf6tc3HOt0YvH07cswx2rVMszlKCwE8a1lS2aPIxce0mHDdMfm5SF7u25d7wY+cybCNgHJcSLTV/n67avTsFF0SpKlp8MZHBMDuRgeLvOwq3+HnaZD9MjN9fe3nTqVWV7+Exxr3krLW7fCxClTRocgmJ0Nwduli64j8MoRHnv28K83TeBKZQq5YkXZtOALM2PrmDLFl2ufkWESjm1diOxYnb4qgRCd5t95YKelNoPy9sxhkocnjXfpJUT6kJqK3frWxidY3mcSFvCiUyfmenVldr9qHQecMQNRjIyZn5tW5ykqgppMxBwRLvOOl8ycSNgZiRDq5g8+8N0PcY8CrcQ6dbxrNTnZkgwzerSCpPbWW6ZjJ0zAekpKYkin7783HDt3Lq7t228Z0sREA/r7b5gvPs7KwoUaTWXaNIxRRtwmTWLEux94QJeOmpKCEg/KTcU5aTIuTgdOpz9qM2aUh93fLIRW4X2Wp05Bo5GkgOZ2sgxBOmyYbrjnihAessz82pQi7tABUtuM9u07QJFTkJio33HNqj1CIEQrhMkvuiz9USkpcHiFh8u26nk++ihMmr07rfofgr8SEcH8zkyPLcdYs2behtI2KLuiwM/rr1uPT0rC2P/9Tz3W14IygK0bH69obG1xbkHzTkqyHnvwIM7tcx6ajHe7UZG8YUPvRu9ymd5D0TTLV5ZQRzs4eBAmX6lSfoEgy4z/6IyfNYs12sqaNWxKI/V4/Ndyzz3MhQXqOZ6fD59KXBw2LU1KjY5T7rIXHtnZ/lDXfffZ6/6tREICdrzy5dWVpx0ObAxW4ViBX37B2N69rdegxwOSVFSUvULAO3Zg17BwXfhw332IBtgp8Xf0KO6dUd+TQAgWop2otjh3IJlMVDsPJDENGmSjj60X27fjHF9/bW98164wSexEKpcvh/C1Yh8zY1E2bgyXjllnU2Z/jxhhYhhBhIOV2spDD1lfC7O/aFTXrtrnL8v+Is7t21vnL13WwmPfPpjS4eGGhZRMsWMH1MNq1dT+KKFxRERYJ5Ixw5QvVw7hVjvcB7Hzfvih9VhRdLdLF906LxqcPInrtksQEn4US23NizZtkPxlBwcO4NyBVbsWLMD7gdFj0WzIzgL3eBBFGT7c3rWINIOVK63HyjJ8JDVq2GhOxfAZhYWZs1SV577/flyLqrBRwJgdO2AxVa7sFyB2n9HXX2NNDB6sn+y5eDF8KrVrm7vOLlvhcc01cVy2LBa/FWFHD2vXQtuoU0ddcFjJHLXRTZFPnQLnoVYte+0cdu6EoLnjDnvCTlQo1ylvoQtRTc1O6Qdm0JibNLE3Vpbh5zOgNWgg0vsDAxbLl+P9wCqKwrlotSMK3Hmnqa9UhYICLESrUgMC69bhWowaQQXixRfhZ7L0tTG0lbg4zAOrerRuN7SOsDD4TO3em1WrICDq19ev+LBtG+ZsTIxOFzsvLlvhQRTHbdvabAEYgN9+g+OvcWO16hys4MjJgWe+TBl7pQFyc/Gd7dsbh2OVyMvD7nDTTfb6e+TkwKl6zz3+99xuY1NOVH03ra2hALqImVcoV2LLFowPLBXxxx/st+MVELR3u6VZhdZk1dNc4Kmn4HewW0X/9ttxP+1ofIWFCI3WrGlvfGIiNr727e2NX78eC/3GG/Uzuxct0kagN25EGLdaNf2iTcnJ/l5GCn+2D5et8KhdO85eGnKAZ2j+fCz2e+5RTyKHgzm+vUcjOIqK9DUEd34RDxkCs+kn84iszyk2ciTsWGXaswqyzLLTxVOnQrUXBCPdLmAerTNUtHJU1oxZsYK5bFlZNwlQaDWqGjMm6pBofmWnwiMz8m7q1dOaCps3QygG7tLbt6uijJYQTafsJOgxM+/Z5dFnXerB7eZ//8XzshSuXifXli3YeAyj/wEO0vXrIWx69tTZHFwuzZurViEa3KaN2jzOTi3katVkrl1bq2UcOADtumxZL+ctYD3k56M0ABHMKeXHl63wsEVP37CB9/d7nrOzsCA+/hiToUsXtTPJ4WC+q1Mqh0tuleBwuZCK/8gjAWtq9Wp+ss0/9vwWP//M/N57vGQJ7rDpRPz2W86avUjBpQBPSRezZqmkkMcDtbZNG/W13n03c9UyeVy0VUt7HzcOwk81RydPNlTn3nkHvAaf0H3mGVMmqErDeOwx3/t797I/HKpAWhp+83sdFhqeUwmPh/m2WrsN63GoIMvMDzzA7dtD+zM1GZ1OhCQYIdDoaMvoxYwAABZ/SURBVBOTNDNT5c188UU29mccPaq6D8z+6mKaLOrNm5GxF3Chy5Yhw7dvX4U/5uefeefD73OVKjLXrKlts5CUhAhSqVLMCx77E/FjxXll2d9Rr107v5/k8hUeVolxS5dy2pCnOTJS5qZN/Q+1b191XQ6Hg7ljsyyuUTqDFy/0h0mUxW1VtWd37eL34r5iIuuiL5yYyDxwICcec3OlSkhFN2TAZ2Yy3303HzviUYXoJAnV+lUoKlJVRGeGjGre3FfLmZmxyEuVknlsw+WaSeh0QiXX7JL332+4skaMgArsgwGBSkBoKhs2sIqefuIE3g+sQyLLWKjjmq+056lk5nuu28m1a7rtOctffpnnvXmSW7e20dN1+nTm9ev5yBEsOtP6I+++65MWRUUwLWrU0Dcv+JNPNKqSYO5qGO6ff65LJJs/H/OiVy/FfJo7l3eP+D+uXl3m2FhtOkZmJnwyzZszvz9sCxxXAWHBJUvUjtQrU3h89BHzxIn8/nvqhThokDqs7siWuaO3PcKiBWrBIVQ5X+tBl4s5KYl/bDuNw8Jk7tfPwg/hbS3mPpXCnTtDbTSsy5ydDc727t269SgGDFCMzcrC7wvoZHXzzXjoTiecYX/84edC7H56tuYr16zBZyq+VEICJIQBOnRQ1EBNSsK2bNI2/scf8R1b/8yBp9JbrebsWfaTxwLQsKHM9zbdbS8swswfPbbLfiTi8GHOffx5LlfWY00sdjgQrkhL40mTIPgNC0KL1FhvQuH27fAl6WY9yzJCRHv2+HgbRUVg4kZH6/gmJk8GVyBgoQsuyN13Kz6aO5f3jXyXY2NlrlZNW2c3P99fkW3i4GMs33e/xiG2fTsCAMgGv5KEx99/44F7Z6XIVBWv7t39N9qR5eGO1RM0goPZz4B84gnFJvzxx7y1xcMcU9rDcXEWfJKsLKzkWbN8Tj1TzsBDD2H2uFyq9palS8ORpQpd/vwzZpmi+ITgPMyYgX+LXIqICOZaUhIff05rW40dC/tZZXUMHw67R4e4JMvQVHw9UX74AV9gUnHG19R6Ux6+zFsP0Jfz8rr2mFtuYW5ffre2dqEB9j0zi4mwmCyxZw9zdDQ/2vsEly5t0eKxqAjezOHDOSUFfjLTSM2778I76RUIU6bgker6bxITQWhRkFTOnMGUufrqgIiKLENr85pRgV9JBAXQN0fmzuWEtkO51lVOvv56rSPf5fLXtRl+51l29btbk6iXnCxKWFwpwsPpBFWyWzfm3Fyfp19JtomIgMrscDB3bHSGw8nFiyaoRf3HH2Ps0KGKB+J2c2L9zlyn7FmuU9tjlLHux6xZzPHxvOH70xweDi+/oVotnBXeJketWuH7r7vOINz65puaNPShQzG5xWLo3l0pNGWWJFlV1UqWMXc11byeeELTbElAlCj0lTI8dAjbmAlEmcSEBEbowluBSZbhWFSmrzidUKbatmUuG+3kQTfuMWw4rYScm8expdLsyhrmceN4y9RfmMhG65t163xJd8LsNWw1kZoKh4H3/jmd2LyqV9eJrDmdcH716KF6e9s2hJOHDQswbxcsgL2oE4YSJQpHjfLOsVOnmOPj+fCtj3GbNuDCBF6zLMMUJmLu0+QQ50VW1CTeFRVdScJj40Y4EGWZc3L8AiM8HM/ogw+wGB0O5i5dZA4P8/CiuWqV+5tvsHjvuEO9+WZvPcjNrs3j9u3tMUL5p58466yL69VDtMGUeXjqlO+k6emI/V91lYlJtHatShIlJ8MmVxbxGTrU//slSebGjdWV0/btY/2Qq0kTltWrcYxPtrjdIK2YQBQEPnaMNVtghQpqxqyg9guBRwQnnx0M6pHONWrYJAk6nSxv2cotWiAEbgnv/c7KgmIRsN7VyMuDwPFi5048G0MZu2qVRoUV7TYC/KqYHDokElG3JDJS4QeVZealS/noxjNcrx7u9caNePu77/xz4aOPME86xBVw+qdaGvVFLzyIqAURbfQWQt5KRG3sHGfk80hP91cNi49XPxuHAxXQ27fXUs5/+gmayS23qM14lwsRj/BwRf6CBWQZEyY8nPmff+wdw4yE1rAw/Z4wRnjhBUwApc0v2kkQ4V4EOu5ED9lgODLvv49jzNpTBEIIBD1NrWZNtXslNRW7pNLMnD7d3veIiEUwzZw/+shCk9CB8CEZKGe6EHRwO7whgeefxzGffmpvvCz7y1IG0t5PnICWWbYsfGdEaufvokUQirfdpp0Pl4LwWElEvbx/9yaiP+0cpyc8Tp1iXxvIQFtTCA7B48jNhTO7oACbS3Q0fAXKEK4s40YToQCtXXz5JY6xKnasxK5dEBwmGfEa5OVBzQ2s0SnqOLRpox+0GDIE9yIYTJiAXTeYFIBPPkGOjV692G7dtA3TBIVcmJp2C/gePIgNwaxieSAyM+FTMuxrq4OCAvglWre2fx+cTsyrqlXtVzd3u2FSRkTYiAp54fH4G6YH1ho6eVItmCtWVGvWf/4JtnXt2mrG66UgPH4jooHevwcT0Xw7xwUKjyNHQMUtW1a7MwQKDmZ/Y6DWrWEqNG6sZR6KJCO7DExmuALKlDEskaALWYZLoHJlg/CeAWbNgkkeSNpq3BjXrSc4zpwxCP9aoHNnky5sBhD3T48K4uskp4As+3vp+MoM2oAsg2ptl3ou8NxzqPURTDLlnDl4TkZ5KXrYvRsb2t132xc6mZnI7K1Wzbr+rIDLhe8IdCALTVP58vXC9WLHDpjLlSv7i2pfCsKjCRElegsfnyKiunaOUwqPXbswCXr21Fb01hMczFgM4kaWKqWttLRkCRaZ3Wb0zHAyDRwIKR9M2fvFi7Eb2GVKMuOaGjfGrqackEeOsK76KiD8EHbaTihRtapua1VTGNXtYMYz0SsItG0bjqlbN7jvGjIEzslgNCORvzJnjv1jXC7c80aNbFUw8GH6dJiQC+3x35gZWkC5ckiBsEl74aIiaC2S5E9IVJqxSnM2EEeOQGiXLg0z/qIQHhZ9W94noru94+4lotUm59H0bfnnHyzWWrW0xBiHg7lj2yKN4MjMhImgvJk33sgsp8ItvmkT1Op27UxoDDq6uCi4q6GrmyQv5OdjoTRrxuwq8tjLo2fmn39wMpG2G9pLL+mo/Hl5vpl+1124V4aLLDdXIy1TU1lXHdYbq8TkyThOllmjfvTsCbNKD2XLyvYFlfe8n3+O7zJtvRmQ8izL/lwjzQcmz0FUaZs92zvWKhefYSa0aS1z5Uoee36j3Fzm/HxevhzamAl3D+qqQs3Nz8cx4eGI7DODlvPBB8wdWhf5HNJ6ZVfPnIFwRKe8i0B4mH4pUbZoteBt/OSwc1xcy5a8ciXILNdeqw1rOhzMnW7M5E7VD/Ci79R3XTjLxCssjPm+bsnsfnIsHzuGHax+fRMbdcUK9AxUQPAzNEzEJUtMOewi1LZmDYMMYnNr6t44kWtWKVDt6m437FYNpX36dObt27mgAPfL1M6fOFGjJ//5J65R4zAePdqUnj5hArQ6Ztb0l7z7btCs9dCsUqKy8b05vEwsUTvEsCue8GIHQJhWKqEjVEiTU7VtCyGcfyrDXg8MZt63Komjwp3cr58NDWn7dt+DEhqcYcG01as1vSsdDkTdoqMD6jgvWMCrB83i2FiZIyI0XEPfsehRc/ELj/2i6RMR3UJE2+wc16BBHJcqBY0hUJILyrkeASw72y806tXD5Dm9eg/zkCGcmebipk1hQhg2ADp6FBNLIelTU0FHbtIkQL1MS0MGnsHunJgIFfGeexgH2jSKd+0Ec3b66+qxq1cjvKmRPwMHMssozUhkkTY+RFs9XXBfNNEZC5rmM88o2h4ECI9hw4xNk961d/FNLWzaimPH+qR83bpg7Rti0iQNzRcUfp1Ug6lTTUMxgqE7YwbjP4bZjmrM6LdOV2PUxaefMs+axbIM81mStL4KH774QiNdMjKwPmJiVBFk5rlzOXPsK9y2LQSIXo1nt/vSEB4diWgbEf3r7VcbZ++4OO7QQcsSNBMcQp2TJMxlWWbssnfdxc7MXL7lFkykwFRxHwoKENpQsH5E4ZjISB3aw/DhJpx0bITR0d6U8tdes+1aH979OMdEOjXO1XvvhcNLlTh5+LC3cQq4A2XK6JSgE3C5dAXC44/D9tbINQvhMWYMroeZNcJj9GiECPXwWOstXLWSTW/zt9/6ts8HH8T3GVpSO3bo0loHDNC5b2lplk6enj1hMmeeLoA9aMM55nZ6uH3lA1ypose0mxwz+8N9W7dybi4EQYUK6vozKkydqrFFUlJAOCxfPkAWzp3L2c9M4Q4d0LxsyRLt6S564VHcV2xsnMZL7jiUYig4nE4scqUjibdsYe7Xj+UzqTx8OO6AYbjv338x4wM8siINXlU/tqAAlESTHoJr1+K4l19mqAoWSWYCKcs2cumwAh71sLoewdmzEGCqjm9uN6Tl4sUsyzBnTLRx2FCDB2sWwYgROl3XVq5EqMrEM/zCC94ixcnJmPmKfJXp0w0qkskyv99mLne5+rA9J+HSpXCe5ObyvHm4JMNeu6mpCE8FVI9auRKmq2oH9ngg/E26iIu0gIkTGSzQESOMW9krkLDqBEeHF3GfjpnWimZeHooZ//EHHzsGgdukiYFLRpYh6ZcsUYUOExOhlVWpEmCezZ3Ljmcm89C78zg6WusDuWyFR2Co1uFg7nhVAijnX6u3VrfbX/rt44+9b+7eDUkybx7PmIHPFE3NtOjRAxNPMTl27QKnonfvgF3555/hcTKoauN245hbb/WaOQ0aQDDZMFkm3/o3Xx2ezAmb1E5YQeJSaT95eVgVa9f6ohimkYXBg1kvvz02VqeG5qpVsPtM4tEPPOA1TUQsVaE7v/IKrkfv8Lm9vmEfrd0KmzZBXZRlX7EinZ5KQG4utuGAsJbordKtm+JNsesbeXW9ePppLObkb9fimdthneXm8ru1ZnCT8kn2zJd338VvPHOG16zB16jyWZRIS4PdHRCLP3wYpnVsbECC35gxnFPzOu7S0c1hYeqasFeE8HA4mO/oms11I5N50VS1s0II406dAkhbY8Ywv/8+L5zv4cqVsWMbrt3jx8FZV3hQ8/MhOOrU0XGsTphg2G2M2c+IXLiQcfBDD9kihRQUMFeLyeU+XbVOyhYtdPq/pqd76/wj8iFJFlW0pkzR2IGit4xIuvMhNdWy5cHgweAqMDOuQ/EbhaNSbwdd880pJrLtRlA5LK65hs2drVu2eMMkaggmqCo71+Wy1AgPHQKZa/RoRhjGJpvQfSqFb66yiytUkK2Zvm43cpq8CZ+zZ8OMNOzKuX490qwDVPO9ezFH4uIUCuPp08yjRnHu5Le4a1fMEaF9X/bCQ9keYfFi7eoXCUDjxgX0q0hN5fXrUXC3Y0fTqvZYQQGSRVS41qWsm4RmMzLAmejc2XvK7GzbRBJRdTyQBCfUZ01Qp6DAR7K46SYbJC+dyMn69Ti3CPlZjVeif39FfkrA2E8+wXn17H7BVbHNv1Cce8QI+AVMZbFOleqTJ6Gked1D6rEWGuGoURAghw+zrbCtwKG9hRwTI3PPnjb5KYrEwocfZnPau9OpOw+3boX/o2HDgEBDcjLn5SGpUpJE6PsyFh5WNUdFyvLw4dqHc+gQbMCGDfXp02YQtTZt9MXW4KmnMEnt1DxVQpah6dx4o/a3PP44hKCRzDp5Etdrt5ivEp99hmPtFlRWok8fHW3Ii6+/xnn1amSIlP2AaLgtiEzeYHJWBPr0gVofDPmLGS6dmBjbVQRUEEWfdZQhUxQWgp8SE2Pi4zHA33/juGbNtIzm/HxY6IhIXqbC46ab4kwFh8gv6d9fOxnS02H6VqliUuDFAElJ8My3bGnZF1uDvXtxvaZVqQywciXrOnQLCuAI1WRhKiBCrVaVuvXw9NOYaHZZtkr06AGinR4E0UqnBSszgyptp5VBIETpAJ0CXJZYtgzH2mm3EQiRmBbspuDxwMIoV84+DV0gORkJhvXq2SuorcTq1dhwWrfWmo4FBYjcXbbCo0yZOEPBsXQpFmn37lpzpLAQJkNkZEDs2wZED+aYmOAyOJmhLXTvDl9WsA+aGWHBq67S/h5RxNjExcI9e4JIF2xfG2YIAKuKj0bo0kVReSwAQhgaPYPWrS3S303QqJGiFWUQcLngVOzTJ/hjMzMRtu3dO/hjjx5FCL179+Cf0aZNEAJdu9oK9Kjw448wtzp31tLfg+V5hNElhPx8ooULie65R/0+M9GnnxK1akW0dClR1OG9Xg0M2L2baPt2oi+/JOrYMeCk+/ebfufx4xjywQdEjSjB3oUyEx06RGfPEiUmEr3yClHVqgZjXS6iEyc0bxcUEGVmEo0ZQxQV5X3T4SBKTaXWrYlefZWoWzfjryenk/rfXkSSZON6U1Jwc72oXJkoPt5gbFISrtkA115L1Lix9x/Hj6s+q1aNqGVLolKldA48fpxatyaKjbVxvceOad7q3VvnvMxER4+anioigmj4cKIcB5Pr0HHTsT4UFhKdPEkVKxJNnEh08iRRdrbBWIcD9zcA9esTzZxJlJCAW0pEGJeVZfn1bdoQfTbtDO3YwZRgZ0ru308ky0RE1Lcv0bx5RJs2EW3erB4WHm7jXAoIivglAUmS0ohIu9IuHVQlorMX+iL+Y1xpv/lS/711mbmanYGXlPC41CFJ0lZmbnWhr+O/xJX2m6+k33tJmS0hhBDCxYOQ8AghhBCKhZDw+G/x2YW+gAuAK+03XzG/N+TzCCGEEIqFkOYRQgghFAsh4fEfQ5KkKZIknZIkaaf31ftCX1NJQJKknpIkJUiSdFiSpAkX+nr+C0iSdFySpN3e57r1Ql9PSSNktvzHkCRpChHlMvPMC30tJQVJksKJ6CAR3UpESUS0hYgGM/O+C3phJQxJko4TUStmvpR5HrYR0jxCKAm0IaLDzHyUmZ1EtJBQ+DqEywgh4XFh8LgkSbskSZojSVKlC30xJYBahLYaAkne9y53MBGtlCRpmyRJIy/0xZQ0QsKjBCBJ0mpJkvbovPoR0SdEdA2h5eZpInr7gl5syUAvo+ZKsI/jmbklEfUiojGSJHW+0BdUkoi40BdwOYKZu9sZJ0nSLCL6qYQv50IgiYhqK/59NRElX6Br+c/AzMne/6dKkrSUYL6tvbBXVXIIaR7/MSRJqqH4512ERliXG7YQUUNJkupLkhRJRIOI6McLfE0lCkmSykiSVE78TUQ96PJ8tj6ENI//Hm9JktSCoMYfJ6JHL+zlnH8ws1uSpMcJPYnDiWgOM++9wJdV0riKiJZKqIEQQei//OuFvaSSRShUG0IIIRQLIbMlhBBCKBZCwiOEEEIoFkLCI4QQQigWQsIjhBBCKBZCwiOEEEIoFkLCI4QQQigWQsIjhBBCKBZCwiOE8w5Jklp7E/+ivczLvZIk3XChryuE84sQSSyEEoEkSdOIKJqIShNREjNPv8CXFMJ5Rkh4hFAi8Oa0bCGiQiLqwMyeC3xJIZxnhMyWEEoKlYmoLBGVI2ggIVxmCGkeIZQIJEn6kVBBrD4R1WDmxy/wJYVwnhHKqg3hvEOSpGFE5Gbm+d56phskSerGzH9c6GsL4fwhpHmEEEIIxULI5xFCCCEUCyHhEUIIIRQLIeERQgghFAsh4RFCCCEUCyHhEUIIIRQLIeERQgghFAsh4RFCCCEUCyHhEUIIIRQL/w9P9QcMmxsnGgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(1, 0, 0, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ = 0, maatriks on diagonaalne, τ < 0: stabiilne sõlm\n", "\n", "Maatriksi omaväärtused $\\lambda_{1,2} = \\frac{\\tau}{2}$ on identsed ja negatiivsed. Faasiportree on **stabiilne sõlm**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **atraktor**." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}-1.000000 & 0.000000 \\\\ 0.000000 & -1.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = -2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1,2 = -1.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(-1, 0, 0, -1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ = 0, maatriks on diagonaalne, τ = 0: degenereeritud\n", "\n", "Maatriksi omaväärtused $\\lambda_{1,2} = 0$ on identselt null. Faasiportree on **degenereeritud**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **mitteisoleeritud**." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}0.000000 & 0.000000 \\\\ 0.000000 & 0.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1,2 = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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u8Z4JzPSHwPcY/oTmlm7f7cDbu9fnMPzJyyzwDeB1I++9pXvfYZb5E7ZJzwd8GPifkb9XjwPrp2G2eZ/Ra3j8zWVJzflTLUnNGR5JzRkeSc0ZHknNGR5JzRkeSc0ZHknNGR5NnSS/neQ/k5yT5FXdnwP0+r7n0uT4C4SaSknuYPgbuL8GzFXV3/Y8kibI8GgqJTkLOAD8HPidqvpFzyNpgvyqpWm1Fng18OsMr3x0GvGKR1MpyT6Gf7reFmBDVd3c80iaIP88Hk2dJO8CTlTV55OsAv4tyVur6uG+Z9NkeMUjqTnv8UhqzvBIas7wSGrO8EhqzvBIas7wSGrO8EhqzvBIau5/AcqlxxsF9cjeAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(0, 0, 0, 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ = 0, maatriks ei ole diagonaalne, τ > 0: ebastabiilne tärn\n", "\n", "Maatriksil on ainult üks positiivne omaväärtus $\\lambda_1 = \\frac{\\tau}{2}$. Faasiportree on **ebastabiilne tärn**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **repeller**." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}3.000000 & 1.000000 \\\\ -1.000000 & 1.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = 4.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 4.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1,2 = 2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(3, 1, -1, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ = 0, maatriks ei ole diagonaalne, τ < 0: stabiilne tärn\n", "\n", "Maatriksil on ainult üks negatiivne omaväärtus $\\lambda_1 = \\frac{\\tau}{2}$. Faasiportree on **stabiilne tärn**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **atraktor**." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}-1.000000 & 1.000000 \\\\ -1.000000 & -3.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = -4.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 4.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1,2 = -2.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(-1, 1, -1, -3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### δ = 0, maatriks ei ole diagonaalne, τ = 0: degenereeritud tärn\n", "\n", "Maatriksil on ainult üks omaväärtus $\\lambda_1 = 0$. Faasiportree on **degenereeritud tärn**. Püsipunkt $\\underline{x}_* = (0, 0)$ on **mitteisoleeritud**." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "Maatriks: $\\begin{pmatrix}1.000000 & 1.000000 \\\\ -1.000000 & -1.000000\\end{pmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Jälg: τ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Determinant: Δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Diskriminant: δ = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "Omaväärtused: λ1,2 = 0.000000" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fixed(1, 1, -1, -1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Küsimused" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Nõrga hõõrdejõuga ühemõõtmeline lineaarne pendel\n", "\n", "Ühemõõtmelist pendli kirjeldab liikumisvõrrand\n", "\n", "$$\\ddot{x} = -kx - h\\dot{x}.$$\n", "\n", "Eeldage, et $h > 0$ ja $k > \\frac{h^2}{4}$. Kirjutage liikumisvõrrandi dünaamilise süsteemi kujul, kasutades definitsiooni $v = \\dot{x}$. Milline on süsteemi püsipunkt $(x_*, v_*) = (0, 0)$?\n", "\n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tugeva hõõrdejõuga ühemõõtmeline lineaarne pendel\n", "\n", "Milliseks muutub eelnevalt kirjeldatud süsteemi püsipunkt $(x_*, v_*) = (0, 0)$, kui $0 < k < \\frac{h^2}{4}$?\n", "\n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ilma hõõrdejõuta ühemõõtmeline lineaarne pendel\n", "\n", "Milliseks muutub eelnevalt kirjeldatud süsteemi püsipunkt $(x_*, v_*) = (0, 0)$, kui $h = 0$ ja $k > 0$?\n", "\n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* \n", "* " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 1 }