diff --git a/examples.ipynb b/examples.ipynb index 5204573080aa52bd46cf3c80582c715b0217c9d5..2f4853f6fba74fd20fa16717c10c5c0b2961cc5e 100644 --- a/examples.ipynb +++ b/examples.ipynb @@ -69,7 +69,7 @@ "$\\displaystyle \\text{Chern Character:} \\\\ \\begin{array}{l} \\mathrm{ch}_{0} = 3 \\\\ \\mathrm{ch}_{1} = 2 \\ell^{1} \\\\ \\mathrm{ch}_{2} = -2 \\ell^{2} \\end{array}$" ], "text/plain": [ - "<pseudowalls.chern_character.Chern_Char object at 0x7f25db3a9990>" + "<pseudowalls.chern_character.Chern_Char object at 0x7ff9d8e4c110>" ] }, "execution_count": 2, @@ -100,7 +100,7 @@ "$\\displaystyle \\text{Chern Character:} \\\\ \\begin{array}{l} \\mathrm{ch}_{0} = 29 \\\\ \\mathrm{ch}_{1} = 13 \\ell^{1} \\\\ \\mathrm{ch}_{2} = -\\frac{3}{2} \\ell^{2} \\end{array}$" ], "text/plain": [ - "<pseudowalls.chern_character.Chern_Char object at 0x7f25d1953e20>" + "<pseudowalls.chern_character.Chern_Char object at 0x7ff9ce32e490>" ] }, "execution_count": 3, @@ -129,13 +129,12 @@ "metadata": {}, "outputs": [], "source": [ - "m = 1 # value of $\\ell^2$\n", - "\n", "# add attributes for ...\n", "for example in [recurring, extravagant]:\n", " example.betaminus = beta_minus(example.chern)\n", " example.twisted = example.chern.twist(example.betaminus)\n", " example.n = example.betaminus.denominator()\n", + " example.m = 1 # \\ell^2 = 1 on P^1\n", " example.bgmlv = example.chern.Q_tilt()\n", "\n", "# Actual maximal rank of Pseudo-Semistabilizers\n", @@ -170,8 +169,8 @@ "def loose_bound(example):\n", " n = example.n\n", " twisted = example.twisted\n", - " return ( m*n^2*twisted.ch[1]^2\n", - " ) / gcd(m, 2*n^2)\n", + " return ( example.m*n^2*twisted.ch[1]^2\n", + " ) / gcd(example.m, 2*n^2)\n", "\n", "for example in [recurring, extravagant]:\n", " example.loose_bound = loose_bound(example)" @@ -264,7 +263,8 @@ "Redefine \\nu to $\\nu$ in latex\n", "$\\let\\originalDelta\\Delta$\n", "$\\renewcommand\\Delta{\\originalDelta(v)}$\n", - "Redefine \\Delta in latex to be $\\Delta$" + "$\\renewcommand\\Omega{\\operatorname{lcm}(m,2n^2)}$\n", + "Redefine \\Delta in latex to be $\\Delta$ and \\Omega to be $\\Omega$" ] }, { @@ -276,13 +276,13 @@ { "data": { "text/html": [ - "<html>\\(\\displaystyle \\frac{1}{2} \\, R + \\frac{\\Delta n^{2}}{4 \\, \\nu^{2}} + \\frac{R^{2} \\nu^{2}}{4 \\, \\Delta n^{2}}\\)</html>" + "<html>\\(\\displaystyle \\frac{1}{2} \\, R + \\frac{\\Delta \\Omega}{8 \\, m} + \\frac{R^{2} m}{2 \\, \\Delta \\Omega}\\)</html>" ], "text/latex": [ - "$\\displaystyle \\frac{1}{2} \\, R + \\frac{\\Delta n^{2}}{4 \\, \\nu^{2}} + \\frac{R^{2} \\nu^{2}}{4 \\, \\Delta n^{2}}$" + "$\\displaystyle \\frac{1}{2} \\, R + \\frac{\\Delta \\Omega}{8 \\, m} + \\frac{R^{2} m}{2 \\, \\Delta \\Omega}$" ], "text/plain": [ - "1/2*R + 1/4*Delta*n^2/nu^2 + 1/4*R^2*nu^2/(Delta*n^2)" + "1/2*R + 1/8*Delta*Omega/m + 1/2*R^2*m/(Delta*Omega)" ] }, "execution_count": 8, @@ -291,7 +291,7 @@ } ], "source": [ - "from plots_and_expressions import main_theorem1, Delta, nu, R, n\n", + "from plots_and_expressions import main_theorem1, Delta, m, R, n, lcm_m_2n2\n", "# Delta: symbol for Δ(v)\n", "# n: symbol for denominator for β_(v)\n", "# R : symbol for chern_0(v)\n", @@ -310,9 +310,10 @@ " return (\n", " main_theorem1.corollary_r_bound\n", " .subs(Delta==example.bgmlv)\n", - " .subs(nu==1)\n", + " .subs(m==example.m)\n", " .subs(R==example.chern.ch[0])\n", " .subs(n==example.n)\n", + " .subs(lcm_m_2n2==lcm(example.m,2*example.n^2))\n", " )\n", "\n", "\n", @@ -329,13 +330,13 @@ { "data": { "text/html": [ - "<html>\\(\\displaystyle 53838.5009765625\\)</html>" + "<html>\\(\\displaystyle \\frac{55130625}{1024}\\)</html>" ], "text/latex": [ - "$\\displaystyle 53838.5009765625$" + "$\\displaystyle \\frac{55130625}{1024}$" ], "text/plain": [ - "53838.5009765625" + "55130625/1024" ] }, "execution_count": 10, @@ -344,7 +345,7 @@ } ], "source": [ - "float(extravagant.corrolary_bound)" + "extravagant.corrolary_bound" ] }, { @@ -474,7 +475,7 @@ ], "metadata": { "kernelspec": { - "display_name": "SageMath 9.7", + "display_name": "SageMath 9.8", "language": "sage", "name": "sagemath" }, @@ -488,7 +489,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.8" + "version": "3.11.3" } }, "nbformat": 4, diff --git a/plots_and_expressions.ipynb b/plots_and_expressions.ipynb index d1412f9996bda3946ade177c233ca4e3063144f1..c54d2dcd2fb3df594fb989b32b0df5791e93f60d 100644 --- a/plots_and_expressions.ipynb +++ b/plots_and_expressions.ipynb @@ -66,7 +66,7 @@ "$\\displaystyle \\text{Chern Character:} \\\\ \\begin{array}{l} \\mathrm{ch}_{0} = R \\\\ \\mathrm{ch}_{1} = C \\ell^{1} \\\\ \\mathrm{ch}_{2} = D \\ell^{2} \\end{array}$" ], "text/plain": [ - "<pseudowalls.chern_character.Chern_Char object at 0x7f9075cd3e20>" + "<pseudowalls.chern_character.Chern_Char object at 0x7f5ef5b6f190>" ] }, "execution_count": 2, @@ -102,7 +102,7 @@ "$\\displaystyle \\text{Chern Character:} \\\\ \\begin{array}{l} \\mathrm{ch}_{0} = r \\\\ \\mathrm{ch}_{1} = c \\ell^{1} \\\\ \\mathrm{ch}_{2} = d \\ell^{2} \\end{array}$" ], "text/plain": [ - "<pseudowalls.chern_character.Chern_Char object at 0x7f906c28bac0>" + "<pseudowalls.chern_character.Chern_Char object at 0x7f5ee792a3d0>" ] }, "execution_count": 3, @@ -887,7 +887,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] @@ -918,7 +918,7 @@ "outputs": [ { "data": { - "image/png": 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6atWsTpY1ElMS+XTjp/yycwaLC5ylTMHGHO5zGFdn+y6Z1EJnoTZtwMPD6hQiIiJ3l5xsFnCVKpkNERcvQnS0eSwnFHOGYbB8/fts/Cofg5f0o0ThukS32A5FHrb7Yg40KUJERETuwjCgYUNYswYeewzefhvq1rU6VRZKjqfDoh5s3jeLGSULke/B76gQ3NjqVJmigs5icXFw/bq5YraIiIi9uHYNpk+HJ5+EYsXMLtbg4JzRGnfD/gv7KXhoAvmvbGJ5uQ9xcnKhSakmVse6J+pytVjlyjB6tNUpRERETLGxMGYMlCwJffvCihXm461b55xi7vyl3fznh45U/LQiU04dh/Kv07RUU4ct5kCTIixXv745I0hERMRq8+ZBt25m71GXLvDWW1C6tNWpss7VpKuMX/MxrY8OpVqSCyMfGknvur3B1dPqaPdNBZ3FHnwQ/u//ID7e3KxYREQkO507B3/9BdWrQ5ky8OKL0L+/2b2aY6SmwLGvuOJdhbFrx+FZ6Vm6NHwf/3xlrU6WZTSGzmK7d5szhn77LWes2yMiIo7hr79g3Dhzb/GqVWHtWqsT2caSw0uYunYUcz234VRtNDHBz+LrkfNqCo2hs1hoKBQuDIcPW51ERERygytX4NVXza7UmTPNrSh/+snqVFlv39EfWT6rCG1nteBcUhInGv0GId1yZDEHaqGzC4mJ5vYoIiIitnLuHBQsCAkJ8MAD0K4dvPYa5Lgfr0YqI34fyfTf32ZxsDsnK4+jabVeODn6HmR3YZdj6CIiIoiIiCAlJcXqKNnC3d1cedswzD3wREREssqOHfDhh7BgAezbB6VKwaZNjr/H6r/FJMSQeHAaASfn0KDch+R/OILS1V+mvGvuaDFRC50dOH8eypWDyEhz9wgREZH7tXEjjBgB339vLkEyaBB07pzzdihKSrrK1xsn8NYf42lfNISJlZpApXfAxfFnrmaG2oPsQGAg5M9vToxQQSciIvfDMMzWt4kTYe9ec5zc88+Dm5vVybKWYRgs3LcQn/UvEpwcz6PlOjOwyXDwDbI6miU0KcJONGtmFnQiIiKZZRiwZAk0bgwzZpiPTZoEe/ZAp045r5jjwjqiL+2k8/ed+cEljODG3zHj8RkE5dJiDlTQ2Y1mzczfpE6dsjqJiIg4CsOARYvMfVVbtDC36ypRwjyWLx+4uFgaL8sduXyE7gs7kbqqLflOfMOOV3Yw4cUNlC/7jNXRLKeCzk40bWo2ka9ZY3USERFxFAsWwOOPg5cX/PorrF+fM9c0vXTlMMvm16bep+X5+cgydlWeBFVGUCJfCauj2Q1NirAjZ86Ya9KJiIjcSkICfPUVHDhg7reanGwWcQ0aWJ3Mdr7b9R3v/NyNqMJxrCjShSfCJ5HHLY/VseyOWujsiIo5ERG5lfh4GD/eXAy4e3f4809zuStX15xZzKUaqVz+cwEsa0pxn0I0r/giLm2P83zzz1XM3YZmudqRvXvNWa4LF0LFilanERERe3D9OpQtay5x1aEDvPUWVKhgdSrbWXXoZ/otf5cyzgnMLleO+oUqUr9EuNWx7J4KOjtSogScPGmOg1BBJyKSe50+DVOmwJAh4OkJH31k7u5QIgcPGdtzfg97lrYm+PoRXJ1r06v5pziVeNDqWA5DY+jszKOPmrOUli+3OomIiGS3I0dg7Fhz6REPD1i6FOrUsTqVjV07Q2JSHMWnNeTBPC70q9KOeg98jJOzRoVlhlro7Mxjj0GfPubmyfnyWZ1GRESyy7Bh5s3fH4YONfdZ9fOzOpXtxCXGMX7NxwyK/Rb3AjVZ3GExoQGheLjmsK0ssola6OzM8eNmk/r//R88/bTVaURExJbWrwcfHwgLg59/hsOHoWtXyJODx/0nJ19nTVR3eu5YzIH4aH55ZARNK3cF9/xWR3NodlnQRUREEBERQUpKCgcOHMhVBR2YGylXqgRqbRYRyXkMA5Ytg5EjzeE1PXvC5MlWp8oea0+spd+PXfjRez9zPerS4uHZlMxX0upYOYJdlgw9e/Zkz549bNy40eoolqhSRcWciEhOtHOnOSaueXOIjoa5c2HCBKtT2d71SztgdXu8nZ3Ik7cYxxv9Ro9n1qmYy0IqG+zQ6dNQvz6sXWt1EhERuV9JSWYhBxAYaI6R+/VX2LgRnnoq523P9U/HrxzlxQUv0nbOMxgx+6jsnY9lHZdRvUQO3M7CYiro7FDBgnDwIPz4o9VJRETkXl27Bp9+aq4h17SpuctD4cJmMffww+Z2jznVletXmLvoEc7NL8Pyw0toW7sfqS02gV8OXkDPYiro7JCLC7RqpYJORMQRJSfD6NFQqhT07m3u5LB8ubkMSY6Xkohx9RThM8OZcGAFcQGN2N9zN91rdsfFRQtr2JL+du3Uo4+a+/X9+WfOXkhSRCSnOH/e7FJ1cYGffoLHH4eBA6FMGauT2Z5hGMzdM5dHT/2XPC7OTG41mTL5y1DEp4jV0XINtdDZqZYtwd0dFiywOomIiNzJwYPm/qpBQbB6tdmVumIFTJ2aO4q5Hbum8MSMmjwz9xkWuIRCjU9oWLyhirlsphY6O+XnB6tWQdWqVicREZFb2bLFXHpk3jxz7PP775tLTkHOnuhww7Erx3hr8et8kriI1s6Feb3jMpqWamp1rFxLBZ0dq1vX6gQiIvJPhmHOWnV3h++/h23b4L//hY4dzT1Xc4PU6+dx3jOa5KLt2XxuNxvqj+Olmq/j7KySwkp2ubDwDblxp4h/Mgx49llo1sxszhcREWskJ5trxo0ZY45xHj7cnMXq7p47WuMAriVd45N1n7Bi7zf8GngZpwe+JrVgI5ydNHrLHuhfwY45OUFcHMyaZXUSEZHc6do1mDIFypeH556DgABzUWAAL6/cUcylGqn8uvotts3Kxwcr3yWs+EPEtdwBhcJVzNkRtY/auaefhpdfhjNnzPWLRETE9gzD/KV62zbo1cv8LP6//4MaNaxOls2SYnlmQRf2HJ7H5yWD2NVtPqUK17Y6ldyCulzt3KVLUKgQTJwIr75qdRoRkZztr79g/HizkFu61CzqTpyA4GCrk2WvHWd3UPzwBPLF7mZ52RF4ueWhfnB9q2PJHait1M75+5srjM+fb3USEZGca+9eeOklczHg6dPN/VaTksxjuamYO312E/0XPEO1/1Zj+vnLEDaQpqWaqphzAHbZQhcREUFERAQpKSkcOHAgV7fQAezZY06JDwiwOomISM6TlGSuIefqCn37mpPQctuPnNiEWEavHsULJ0ayI9md81XG0aNmD9xc3KyOJhlklwXdDepyFRGRrGYY8MsvZtfql19CkSKwfTtUqJBLtuf6p9QkODydk351qDKjOe9VeZxODd/Hz6e41ckkk9Tl6iBmzDC7XkVE5N4kJpoFXNWq5tIjMTFw4YJ5rGrV3FXMGYbB9/u+p+3XD2Fsf5uguN2c6HuCPo/MUDHnoFTQOYjAQHMrme3brU4iIuKYevaETp2geHHz83TdOqhc2epU2W/Hge9Y+XVBnp/zBHFOHpwKj4LSHcnrntfqaHIf1OXqIJKSoFgxczXyceOsTiMiYv+OH4cJE6BBA3jySdi/H1JSICzM6mQWSU3mnZXvM2vtB/wQ7MXF6hN5sFJXnJycrE4mWUDr0DkINzdo395cZHjUKHPwroiI3GzrVvjoI5g9G3x8oFw58/Hy5a3NZZVL1y6RemAKAacX0LTcKErlL0WFKh1xcdEPkpxEXa4O5MUXzQWG1661OomIiH364Qdz8d/Vq+Hjj8015Hr0sDqVNa4nRDNl1buUmViGD3f/CkFP0KTEg7xU/SUVczmQulwdiGHAgQO597dMEZF/S0yEb7+FP/+Ed9+F69dh0SKzizW39mSkGqnM3jWbopu6kpB8ne+LvsrQxkMp5F3I6mhiQyroHJBhmONAcuuHlYhIdDRMnWqOkTt1Cp54AubNA+fc3u90NopLLvko+dmDvFKyGq88MIjSJVpZnUqygUoCB5OUBDVrml0IPXtanUZEJPvFxpo7OsTHQ4cO0K8fVKxodSpr7T2/lzGrhvE5y/Ev+wp7e+6lmG8xq2NJNrLp7zKrVq2idevWFC1aFCcnJxYuXGjLy+UKbm5Qpgx89pnZUicikhts2wa9e5u/1Pr4wOTJcOwYfP557i7mzl7czbK5VWg4tRJRJ9ezt/p0qDxUxVwuZNOCLj4+nqpVqzJ58mRbXibX6dbNXI9u0yark4iI2I5hwJIl0Lw5VK9uTng4csQ89vzz5g4PudmX27+kwfTaVLi6iykNXmNvz71ULN0anHJ7v3PuZNMu10ceeYRHHnnElpfIlVq0MDeLnjoVate2Oo2IiG20bw9z5pizVr/9Fp5+WmOHU1JTuHJ0DgWOTCGk7DCeqP4aeRq8xTN5A62OJhazq/8aCQkJJCQkpN2PiYmxMI39cnExx9B9+SUkJ+sDTkRyhsuXYdo0aNXK3MHh5ZfhlVcgPBxy+9q3Rmoqv+2fT7+V71PFw5mvy1fkgSJVeKBkuNXRxE7YVSkwcuRI3n//fatjOIR+/eCtt1TMiYjjO3DAnK06c6Y5gz8w0Czomje3Opl92Hp6K0eXtaFIwkkKeDXijebjcCqm7hlJz6462gcPHkx0dHTa7cSJE1ZHslteXmYx9+ef5gegiIgj+vxzqFAB/u//YOBAc7uul16yOpWdiD/O9ej9PPz1w/xfnDPOlf7Dio4rqK1iTm7Brtp3PDw88PDwsDqGwzh40FxkeNEieOwxq9OIiNxdYqK5JZezs7nkSLNmMH26OcnB09PqdPYh+no0Y1aP5v2r/4dnwYYs77ic0MBQXJ3t6ke22Bm7aqGTzClbFmrVgk8+sTqJiMidXbgAI0ZAyZLQqROsXGk+XqKE2SKnYg4SE+NYueRp6k4uxScbJrC2eB+oOZHKhSqrmJO7sul3SFxcHIcOHUq7f/ToUbZt24a/vz/Fixe35aVzjQED4JlnYPNmc8FhERF7s3evOVMVoGNHeOMNCA21NJLdiToWRf8fu7DY7yj9S4XT6uFZFPUpanUscSA23fpr5cqVNGnS5KbHO3XqxMyZM+/6fG39dXcpKeb4k+rVzen9IiJWMwz47TezFW7ECPN+RIS5DElAgNXp7MvV8xvIs3cU20r35z+rRjC28X8IK/aA1bHEAWkv1xzgiy9g3Tr473+1j6GIWOf6dXO9uPHjYedOqFYNVq0yd3aQ9A6e38vgFe9w9fJOfiqZD6cHvgGfMlbHEgemgk5ERO5baqrZW3DwILRuDX37av24W7lw9QLLf32aMpejeCo6iGFNR9ChSgectbuD3CeNsswhEhLMNZwefxwKF7Y6jYjkBlu3wqefwpgxkD8/jBoFlSpBuXJWJ7NDydcwEi7RaGZzCiUcZ2j5Fux94Tu8PPysTiY5hFrocogrV6B4cejVCz780Oo0IpJTJSfDwoXmQsCrV5vbEM6dC3XqWJ3MPqUaqXy942vanZ2Ol5s3a0PeIcQ/hEBt1SVZTG28OUS+fOZ2YJ9+CtoxTURspUsXaNfOHK87dy4cOaJi7nY2bx1Dq88q02lhJ370rA01J1A/uL6KObEJtdDlIH/9BaVLw9ChMGSI1WlEJCfYsQMmToSnn4aWLWHbNvPxatWsTGXfDl48yIDFPZmaspTvjWAqNZ3NA8GauSq2pRa6HKRYMejeHcaNg+hoq9OIiKNKToYFC8xJDVWrwuLFf3+mVKumYu52Uq6ehk19MBKvsP/KCbZU/pRuLx5TMSfZwi4nRURERBAREUGKNinNtMGDoWFDLRMgIvdu+nR49VVo0AC++w7atgU3N6tT2a/Y6zGMXTuOdQfm8WuhOMqVaM/u13Zr5qpkK3W55mCpqVqXTkTubvdumDQJ/Pxg9GizNe7QIe0+czfJqcn8+vsbBByZRvNTzvSs25d3HhxMHg/9vJLsZ5ctdHL/unYFX19zgU8RkX9LSYGffjLHxy1bZi531L+/eczPT8XcHRkGJF3h8bkdOP7nz0wpXZrdPRYSHFDZ6mSSi6mFLocaMQLefx/274dSpaxOIyL24kbL/b595n6qdevC66/DU0+Bu7vV6ezfxr82Uu7oBPyuHmFl2RH4eeajepHqVscSUUGXU8XHQ9my0KQJzJpldRoRsdqWLeZ+qps3m187O8PevWZRJ3d34q9VjFk7jsm7f2B8jXa8UfMlKNJCW2GI3dAIqxwqb1547z345hvYuNHqNCJiheRk+OorqFfP7EJdutRcQy4pyTyuYu7uLl+7TP/F/bi+tDH1r/zG9NbT6f3ot1C0pYo5sSsq6HKwl16CWrXM7XlEJPc4d87808nJXJfS19fc3eHIEfjPf8DDw9J4jiElAfZ9QlzMUWbu+JLlQa/x+PPH6FqjKy7OLlanE7mJulxzuORkcNXUF5EcLzXVbIGLiIBffjHHyJUpA7GxWsYoMwzD4Lvd3/H1xgn84HMQp9oRXCvaBi83L6ujidyRWuhyOFdXuH7dXIrg0iWr04iILUyZAuXLmzs5HD9ubgFYuLB5TMVcxm3eM4NVX/nz0vzncPEqyLmH1kKJZ1XMiUNQ200ucOUKfPgh/Pmn+UEvIo5v82aziPP2hl27zP1UIyOhfn0N7cq01CT6/zaYBZs+Yn6wNyue+Ya6FZ6zOpVIpqjLNZf45BPo18+cIKH1pUQc0/XrMGeO2a26YQN8/rk5VtYwVMTdi7NxZ3E9+CkFzv7E8nIjOXf1Is9UfEY7PIhD0ndtLtGrF1SsCD17mguKiohj+ewzc7/mTp0gXz5zkkOnTuYxFXOZc/XaBSasGEjIpBDGHFgFJZ6jaclw2ldqr2JOHJa6XHMJV1ezu7VRI3N1+DZtrE4kIneSkADz55sTG+rUgSJFoEsX6N4dypWzOp1jSklNIXJ7JOW3vUrZ5CS61+jLW43+A17+VkcTuW/qcs1ltm6FatX0G72IvTp0CKZNgxkz4MIFeOcdGDbM6lQOzjDg9K+cdytEmemN6VOmLt0bvE3xYo2tTiaSZeyyhS4iIoKIiAhS1DeY5ar/b4eaZcvMXSSc1bsgYje++QZeeAH8/c3u1O7doUIFq1M5tm1ntjFu1ft86bKawAp9Odj7IIW8C1kdSyTLqYUuF9q1CypXhvHj4Y03rE4jknsdOWKOjfP1hcGDzQWBlyyBp58GT0+r0zm2v85uZm/UCzy9fz9F/CuwsPVEygc3U/eE5Fhqn8mFKlWCPn1g0CDYudPqNCK5S2IizJsHLVqY4+OmTDFnrwIULAgdOqiYuy+GwWebP6PxjAaUu36QL8IHsPPVnZQv3lzFnORoaqHLpa5fh9q1za83bAAvrZspYlNxceaacdu2mUMf6taFV16BZ56BPHmsTuf4klKSiDnyDQWOTmN12Q9YcmwFA+r3w8czn9XRRLKFCrpcbNcuc6/X4cNhwACr04jkPHFx8N135npx8fFmMefkBPv3m4sCy/0zUlP5cfdXvLlyBPV9vImsUB1qfAzuflZHE8lWdjkpQrJHpUrmeJ26da1OIpKzXLoEAweaxVx8PDz8MPTt+/cCwCrmssbaE2s5t6ItAUlnKePfgv7NxkKhylbHErGEWugEMJczcXMzizwRybxz52D1anjySUhKggcfhFatoHNnKF7c6nQ5TOwhrqUkEzStAY/l96dPza7UrDHI6lQillJBJxgGPPAAnD8PmzaZq9CLyN2lpMCvv5pdqosWgbs7nD5tzlqVrHfh6gVG/z6SUdfn41LkYfaWeoNyBcrh4uxidTQRy2mWq+DkBF9/DRcvwosvQmqq1YlE7F9Sktl1+uij5mLAH30Ex4+rmLOFa9cvs+LnR6kzuRRTt3zG+tKDoMYnhAaGqpgT+R8VdAKYyyd8/bW5LdiQIVanEbE/MTFmS1yrVnDtmjlEYfBg2LjRnOzQpw8UKGB1ypxn6eGl1PtvJSpf/Jn/lGvI4T6HeaByD3DV1HyRf1JBJ2kefRTGjYMvvjC7X0XEnDj0/PNQqBB06wbJyX///+ja1ZwpruXNsl7c2dWwsjX+7l6EFK3H5Yc30/WJXwjMG2h1NBG7pDF0cpMLFyAgwOoUItbZt8/sTnVyMseXXrlibsX1wgsQFGR1upxtz5ltDFj+H5xiD/ND6YI4PfAV5C1hdSwRu6cWOrlJQADExkKbNrB2rdVpRLLHhQswaZLZ4hYaCmvWmI//+CPs3g1vvaVizpZOx55mztx6XPu5Ogcv7KPzgx9AsygVcyIZpIJObsnNzWyVaN3abK0Qycl69YIiRaBfPwgOhvnz/95Jxd9fXao2lRRHavxxHpzxINNP7iWuWFt2vbqTp8Oexkl/8SIZZpddrhEREURERJCSksKBAwfU5WqRS5egUSNz9uuKFVChgtWJRO5fSgqsWgXffmtOaihVCqZPNyc6PPechhtkl+TUZD7f8jmdL8zAw6sg68v8h/IB5cmnrbpE7oldFnQ3aAyd9c6dg4ceMv/cvVs/7MRxbd1qzuSePRtOnTILuS++gPBwq5PlLkZqKhs2vsegzd+y8vwhFjw0mCeq91DXqsh90tZfckcFC5qtcwsWqJgTx3PggNmV6uNjjo/76Sd49llz1mrduupKzW57zu/hzZ96EOm8mud8yvBR283UKFLD6lgiOYLG0MldBQSYyzUAREbCli3W5hG5k7/+go8/Nic3lC8Pc+eaj48bZx6bOBHq1VMxl52S44/DhldwSY7n1PUYdtWMpNsLB1TMiWQhdblKhiUnm/tT7ttntnQ88IDViUTSGzwYRo82J/U89pjZEteqFXhpDVpLXL56iQ9Xj2TbkR9ZUiQRp4azMfxrabKDiA2ohU4yzNUVFi+GypWhSRNzPJKIVS5cMCcztGxpLv4L5njPzz+Hs2dh3jx46ikVc1ZISE5g0W8vcei7gny26VMeDH2OhEd2QIHaKuZEbERj6CRT/Pxg6VJ45RVz39ekJOjSxepUkpt8/z1ERMDy5WAY5kxs1/99kjVrZm22XM8wIPESj373LBdOLWdimQrsf/V7CuUva3UykRxPBZ1kmoeHOTuwbl1z8WERWzp71pyUEx5uLp1z8CCkpsLkydC2rbkll1jv9z9/p9qxifgknuadBz8g0HsiYYFhVscSyTU0hk7u24kTZotdRASULGl1GskJTp82F/f9v/8z14xzdob//hdeftnqZPJvR/78hZFrxjP9wFIiar/AazW7QqEmVscSyXU0hk7uW0wM7NkDVauaa3yJ3Iv9+81FrAHGjoU33gBPT/jsMzhzRsWcvTkff56eP76C08pWNIpfy6wnZ/HKI1+qmBOxiFroJEtcuQKvvmoWdB07mt1hPj5WpxJ7lpoK69ebY+IWLjQLugkToE8fs4XOw8Pcdkvsi5EUj9OBSRwPfJg6X7ZiVK0OtK//Np4e+ayOJpKrqaCTLGMY8NVX8Oab5oD1ypWtTiT25vp1c/03Dw+zm37qVAgMNPcMfuIJc1KDZqXap5TUFL7c/iVztkTws9+fONWdRmLRR3F3cbc6moiggk5s4OpVyJPH/OE9YQL07m3el9zp+HFz3cKff4Zly8wJNe3bw7ZtEBcH9euDi4vVKeVO1m6fTNK2IbT4M5bHw55lUvNRBPqVtDqWiPyDXRZ0ERERREREkJKSwoEDB1TQOahVq+Dhh6FYMXPbpUce0er8uUFSkjmJwcXl71Y4Fxdo2NBc5PeZZzR5xmGkJNBzcT+WbP+U74r74VTvS6qHaGq7iD2yy4LuBrXQOb4DB8wf6itWQPPmMH48VKxodSrJan/9Bb/9ZrbC/fqrOUO1aVPzscuXzX/7fPmsTikZdTLmJF4HJ1Hg/DKWlxtFbGI8bcq30aLAInZMs1zFpsqVM7vZFi6EY8fg8GGrE0lWiI01x0yC2X0aFGQuMH3sGPTtC6VLm8eaNYN27VTMOYqYuJOMWdKbcpPKMf7IVij9Ek1LhvN4hcdVzInYObXQSbZJSjJX9HdyMouAChXMpSn0w97+JSfDxo3mLiFLl8K6dbBliznxZcEC89+2aVMICLA6qdyLpJQkpm2eRq3db3AuOZX1ZQYzsMFAfD30uSviKFTQSbZLToZBg8yFiN3doVcveO01c6yd2IfkZHNtwSpVzPtVqsDOnebWb02amF2o7dqZM1TFgRkGnFzIWY8SlP08nAHlG/Nyg3cpUqi21clEJJNU0IllzpwxF5CdNg3c3P5ee0yyX0oKrFkDv/9uTmb54w9zBuqZM+bWWj/8YBZvtWr9vW+qOLZ1J9fxye/D+cZtPc4Vh3CxRCcK5ClgdSyRXG/79u2MGzeOo0ePMmjQIBo0aMD7779PQkICZ86cYejQoVSrVu2m56mgE8vFxJjdd+HhEB1trknWpQs895y5U4BkvdhYWLvWHPPWvbvZIufvb3aHN2gADz5obnpfp45ZbEvOcezUag5HdeSJg0cpXbAK8x6bREhQI6tjicj/vPTSS0ybNo1Ro0YxceJEGjVqxIQJEzhw4AAtWrSgR48eTJo06abn6XdtsZyvr1nMAVy6ZO4w8dJL5uD6tm3hhRfMwfVyf06dgqFDzd0Zdu82d2oIDoauXc1Wt61bzeVEtCZcDmUYTNowmfHL+vFbkMGs5kN5tO47uDjrH1zEXhw+fJiiRYvi6urKqVOnuHTpEkOGDKFYsWKsXbsWb29vWrdufcvnqoVO7NKhQ+auE99+C2XKwC+/mAPvV682W5DctTj9LaWmwsGD5qK9mzbBhg1QogR8+aW5PVt4uNnqVreuuS5cuXJaGzCnu558nbhDkQT8OYPfy33I7yfX8UbdPuRx97Y6moj8y5o1a/Dy8qJ69epUqVIFf39/Vq5cmaHnqqATu2YYZpesn5+5plnz5uDtDQ89BC1bmrfcukhtXBzs3WsWb5UqmTsufPWVuZcumK1vdeuaizt362ZpVLFAamoy87dNp/+qUTTLH8j0sLpQbSS4aZNlEXt34cIFChYsyLvvvst7772Xoeeoy1XsmpOTWcyBuSzG5s2weLF569ULatY0uxBTU2HyZLP1qXr1nDW54vJls3CrXNnsjh41CqZMMbfUAnNXhmHDzILu4YfNwrdqVS0hkputOLqC+FVPUyj5EjUKP8HA5qOhQDmrY4lIBq1YsQLDMAi/MR4pA9RCJw4rOhpOnDBbp44dg9BQc/9YDw+zqKtY8e9tp/76y5ylaY9dtcnJ5vs4c8YsysDcXWPrVjh6FM6fNx/77TezZXLOHHMSSViY+Z4rVtReufI/0XuISzEI/qwhTwcWpXftnlSp/JrVqUQkk1577TW++OILrly5gmcGZweqoJMcIzERtm83F73dsMEshBYvNo+VKwdHjkCpUlC+vDkur3dvCAkxH798GQoXhvz5wcsra8aVXboEJ0+aY9fOnTMLtlKl4NFHzTGCzz5rPnb2rLlsiKcnXL1qXvuVV8z3U6qUmbFiRTN3Tmp5lKxzOvY0H64azieJP+IS1IaDpV8nxD9EuzuIOKjQ0FAKFSqU4fFzYEGXq2EYxMbG3vJYQkICCQkJafdvnBcTE5Mt2cTxlS9v3jp1Mu/f+NaZMAH27zcnDBw6ZO43+vTTULAgjBtndmH+0yuvwOjR5nNeesmcBeriYt68vc3dEQCefNLcziwx0bwlJEBkpNmSNnas2T16g5sbvPiiuSSIs7PZLfrww+Y6byVLmpMXYmLMgm7MmJvfW0KCeRO5Ie7qOTZHvcQrezdyzdmLti0/oFZIOwq5eNz2c1ZEspePj0+mfrk6c+YM+/bt49lnn83UdbK9he5Gq5uIiIhITpfZXsbt27fTokULli9fTlhYWIafl+0FXWZa6E6fPk2dOnXYs2cPxbJpX6jatWuzcePGHHet7L5edl4rJiaG4OBgTpw4kS1d8/p3c7zrZff3CNjmvRmGQczpFfgdimBL6f5M2fIF7zYcwJMtXsiR/27ZfS19ljjmtbLzevfyPZLZFrp7le1drk5OTpn+j+Lj45NtH8IuLi458lrZfb3sfm8Avr6+2XJN/bs57vWy63sEsv69bTmxhv7L38Yn4TQLyxQjvGQlwsO+s8m17iYnf0+CPksc7VpWXC87P0sySsuW/EvPnj1z5LWy+3rZ/d6yk/7dHPd62Smr3tufV/5k/ZLHKR23nXPXQ3mz2Tgo2yrdzJ2c/O+m7xHHvF5Ofm/2yq5nuZ48eTKtaTMoKMjqOGKnNBta7sYhv0cSr5CScIUyn4cT5hzL4IqtqN94Oq6umupsKw75fSLZyp6/R+y6hc7jf2s0eGitBrkDDw8Phg4dqu8TuS1H+h5JTElkysYpvHopEnfvksx9Zi4VAirgra26bM6Rvk/EGvb8PWLXLXT2XAmLiGQlIzWVtWvf5M2t89lw6SSLHn6HR6v2AK8iVkcTEQdg1y10IiK5wfYz2+n7Y1fmeGyms38Y05/ZQcWCFa2OJSIOxNnqACIiuVVizEFY1wX31ATiDGf215lLj+d3q5gTkUxTl6uISDY7F3eW96OGceDEbywpBk4Nv8PIV1VbdYnIPVOXq4hINrmadJVfl3cl+NQcZp/1ZtCDb5NUtzfurp6olBOR+6GCTkTE1lJTIPEiD3/zJAnn1/NRSBUOPPU9BXyLW51MRHIIjaETh/Tee+/h5OSU7la4cGGrY4nFVq1aRevWrSlatChOTk4sXLgw3XHDMHjvvfcoWrQoXl5ehIeHs3v3bptmWnp4KXFRbWF1O0Y+NJLZ3fbR6KmtKuYscrfvkc6dO9/02VKvXj1rwoolRo4cSe3atfHx8aFgwYI88cQT7N+/P905VnyW3I0KOnFYFStW5PTp02m3nTt3Wh1JLBYfH0/VqlWZPHnyLY+PGTOGjz/+mMmTJ7Nx40YKFy5M8+bNb7u/9P04cGguHb9uzMNfP8y3iQFQbTQPlniQMv5lsvxaknF3+x4BaNmyZbrPlp9//jkbE4rVoqKi6NmzJ+vWrWPp0qUkJyfz8MMPEx8fn3ZOdn6WZJhhhyZPnmyEhoYa5cqVMwAjOjra6khiZ4YOHWpUrVrV6hhixwBjwYIFafdTU1ONwoULG6NGjUp77Pr164afn5/x3//+N8uuezr2tNF1QSfjz5kYM6bnM+bvmW+kpqZm2etL1vn394hhGEanTp2Mxx9/3JI8Yp/OnTtnAEZUVJRhGNn3WZJZdtlC17NnT/bs2cPGjRutjiJ27ODBgxQtWpRSpUrRvn17jhw5YnUksWNHjx7lzJkzPPzww2mPeXh40LhxY9asWXPfr28kxsCO97ge/xeLj/zG6jJv80LHv2gb2lazVx3MypUrKViwIOXKlaNbt26cO3fO6khioejoaAD8/f0B23+W3CtNihCHVLduXb788kvKlSvH2bNn+eCDD3jggQfYvXs3BQoUsDqe2KEzZ84AUKhQoXSPFypUiD///POeXzcpJYlpm6exaPt0FvufomSB2hx9/ShuLm73lVes8cgjj9CuXTtKlCjB0aNHeeedd2jatCmbN2+2y+2exLYMw6Bfv340bNiQSpUqAbb7LLlfKujEIT3yyCNpX1euXJn69etTpkwZIiMj6devn4XJxN79u7XMMIx7akEzDINVm0fjvHs4/f+8yrNVOnG52Y/4exdDpZzjevbZZ9O+rlSpErVq1aJEiRL89NNPPPnkkxYmEyv06tWLHTt2sHr16puOZdVnSVaxyy5XkczKmzcvlStX5uDBg1ZHETt1Yxb0jd+ubzh37txNv2nfVfI1ui7qSvclg/Fw9WJjp1+Z+cRM/L2LZVVcsRNFihShRIkS+mzJhXr37s2iRYtYsWIFQUFBaY9n6WdJFlJBJzlCQkICe/fupUgRbWQut1aqVCkKFy7M0qVL0x5LTEwkKiqKBx54IEOvceTyES5teAN+e5AOlZ9nwjO/UPv581Qq8fBdnyuO6eLFi5w4cUKfLbmIYRj06tWL+fPns3z5ckqVKpXueFZ8ltiCulzFIfXv35/WrVtTvHhxzp07xwcffEBMTAydOnWyOppYKC4ujkOHDqXdP3r0KNu2bcPf35/ixYvzxhtv8OGHH1K2bFnKli3Lhx9+SJ48eXj++efv+LqXrxxi0ppRfLD5S/4T9hBDq/Wkaamm4KTfiR3Nnb5H/P39ee+993jqqacoUqQIx44dY8iQIQQEBNC2bVsLU0t26tmzJ9988w3ff/89Pj4+aS1xfn5+eHl54eTkdM+fJTZl2fzaDIiOjtayJXJLzz77rFGkSBHDzc3NKFq0qPHkk08au3fvtjqWWGzFihUGcNOtU6dOhmGYyw0MHTrUKFy4sOHh4WE0atTI2Llz521f71rSNWPs6jHG5hkuxvxpLsYHUR8Y8Ynx2fRuxBbu9D1y9epV4+GHHzYCAwMNNzc3o3jx4kanTp2M48ePWx1bstGtvj8AY8aMGWnnZPazJDs4GYZhZHsVmUExMTH4+fkRHR2Nr6+v1XFEJLcwUuHP2ZzJW4HynzdhSOjDvNRwKIEFKlmdTETkltTlKiLyDyuPrWTyHyOY47GFwlWG8ecbf5LPM5/VsURE7kgFnYgIcPD4Ek6sfonHD/1FWNE6HG/6CyWL1CGf1cFERDJAI3pFJHczUhn7x1iaf92SoORz/N8jo1nXdR0li9SxOpmISIaphU5EcqX4xHiuHvycwBNfU6f8SFybfESJWq9Szs3T6mgiIplmlwVdREQEERERpKSkWB1FRHKYlOQEZm+JYMDv43i8YDBTKjWmcXB9Gpd6yOpoIiL3TLNcRSRXMAyDXw79gvMfz+GRHMN0/+cZ0XQEJfOVtDqaiMh9s8sWOhGRLHVpC7G48fy853mhaBl6NnyDWRU6Wp1KRCTLqKATkRzrePRxRkYNZ3LyT/iWfI6tPbZSMl9JSzfQFhGxBRV0IpLjXIk9zuZl7emwZzOGe366tR5PjbLtKOWsjzwRyZm0bImI5Cjz986n/tRqVIpdy+gaT3Ow90FqlH8OVMyJSA6mgk5EHJ5hGFw+/iMsb05Q3gAalnuKlNaH6dhyFj4ePlbHExGxOf3KKiIObd2x5fRb9jaFU6OZV7Y0dQLLUafNZ1bHEhHJViroRMQhHbx4kG1L2lDy2j4SkqvR6+FJOJVqanUsERFLqKATEcdy/TxJiTE0iWxCbfdk+lfuwcYHJ+OsMXIikovpE1BEHMK1pGtMXDeBvtGzcM8Xxg/P/UCFgAp4uXlZHU1ExHIq6ETErqWmJrPm99d4Y9tPbI85R/UWw3i4SjeqewZYHU1ExG6ooBMRu7Xp1Cb6/tCFBXl20a1QDR56MYoQ/xCrY4mI2B0tWyIidifhyh744wU8jWSc3PNz9IGf6NF+s4o5EZHbsMsWuoiICCIiIkhJSbE6iohko7+iT/Duyvc4fup3lhR3p1JeH1Z1WWV1LBERu+dkGIZhdYjbiYmJwc/Pj+joaHx9fa2OIyI2EpsQy6+/daDUuR9odT4/bzd+j1dq9sDN1d3qaCIiDsEuW+hEJJdITcK4foGms9rgemUHI8vW5cAzC/DLW9jqZCIiDkUFnYhkO8Mw+OHADzx0MoK8JDG+xXiK+xWnuF9xq6OJiDgkTYoQkWy1Z28kz0bW4/HZjzPXKAU1PqZh8YYq5kRE7oNa6EQkW5yMOcmgJf0YffX/aGkE8NILv9CiTAtwcrI6moiIw1NBJyI2ZSRcxmnvGBKLPM0ff21kbd0RdKrVHxdNeBARyTIq6ETEJq4nXydiQwSLd81kScBFShd+iEO9D+Hi7GJ1NBGRHEdj6EQkS6Uaqfy27l22fJ2fd34bSEjRhsS03A6Fm6mYExGxEbXQiUjWSYqjw6LubNn/LTNLFmZ717mULdbA6lQiIjmeFhYWkfu29/xeCh+eSP4rm1hRbhTOzq40LtnY6lgiIrmGulxF5J6dv7CT/yzqQOUplfnv6b+gQj+alGqqYk5EJJupy1VEMi0+MZ6P13zEE8fep3qSC2Oaj6Fn7Z7g6mF1NBGRXMkuC7qIiAgiIiJISUmxOoqI/FNqChyNJNqnGh+vH4935efp0uB98vmVtjqZiEiupjF0InJXhmGw+NBipq0bzXyvnThVH0Ns0DP4ePhYHU1ERLDTFjoRsR97Dn/PmbU9aHfkLDWLN+Jko2UEF6yGSjkREfuhSREicmupKQyPGs6js5+gcOoVFrWZzMpOKwkuWM3qZCIi8i9qoRORdKKvR5N0cBoBf31Ho/KjCWwxhXLVuxLm4mZ1NBERuQ210IkIAImJcXz+xweETAph2I6FUOQRGhdvwCu1XsFVxZyIiF1TC51ILmcYBvP2ziPfhs6USI7n8fJdGdRkGPgUtTqaiIhkkAo6kdzs/Bqinb3puqgrXYMr82qjAUwv/aTVqUREJJNU0InkQocuHWJU1PtMM34jX+ku7Hp1F8F+wVbHEhGRe6SCTiQXuXjlINuWtaf9vu145inCrtYRVCnzBMFOGk4rIuLI9CkukkvM3jWbetNqEBq/lQl1u3Cg1wGqhDwJKuZERByeTT/JR4wYwQMPPECePHnIly+fLS8lIreQaqRy6dg8+K0JJX2K0LJSZ9zanuD5Zp/h5eZldTwREckiNu1yTUxMpF27dtSvX5/PP//clpcSkX9ZefAH+i0fSohLEt+Vr0C9QmHUKzHJ6lgiImIDNi3o3n//fQBmzpyZofMTEhJISEhIux8TE2OLWCI52q5zu9i3tA3FE47i5VqP15tPwql4A6tjiYiIDdnV4JmRI0fi5+eXdgsO1qw7kQy7eorEmIM0+7IZ30UnklKhH6u7/EEDFXMiIjmeXc1yHTx4MP369Uu7HxMTo6JO5C5iE2L5eM1HDIn7DvcCNfm1w6+EBobi7uJudTQREckmmW6he++993BycrrjbdOmTfcUxsPDA19f33Q3Ebm15OTrrPqtA/UjSjPyj1GsLtYNak2mauGqKuZERHKZTLfQ9erVi/bt29/xnJIlS95rHhHJgDUn1vDmD1340ecAfYIfoOXD31Lcr7jVsURExCKZLugCAgIICAiwRRYRuYtrF7fitXckPqX64eNTgr8aT6N78cZWxxIREYvZdAzd8ePHuXTpEsePHyclJYVt27YBEBISgre3ty0vLZKjHLt8mCHL3+Hi+U0sLuFDZZ/8LHlxidWxRETETti0oHv33XeJjIxMu1+9enUAVqxYQXh4uC0vLZIjXL52md+WPkvpi7/x+6VCDG0ynNSqnXFxsav5TCIiYjEnwzAMq0PcTkxMDH5+fkRHR2uChOQuKQkY1y9Q7atW+MYdYHj5+tRuNpe8Xv5WJxMRETukX/NF7IhhGMzZPYfWp6eSx8WVKY9OoXT+0hT2Lmx1NBERsWN2tbCwSG62fcck2nxejfbz2vO9a2Wo+QkPBD+gYk5ERO5KLXQiFjt6+SgDF/dhYtKPPOFahP6dVtK4pGauiohIxqmgE7FI6vVzOO8eRUqx59l+YT8bHxhPl+q9cHbWf0sREckc/eQQyWZXk67y8dqPWbH3G34rGENI0OPs67UPZyeNgBARkXujgk4km6SkprB0zVv4HZrEqBOpdK/Tm/jG7+DtmV+DWUVE5L7YZUEXERFBREQEKSkpVkcRuX+GAUkxPL2gM/uPLOSzUsXZ1X0+JQvVtDqZiIjkEFqHTsSGtp/ZTonDn5Avbg8ry43Cyy0PdYPqWh1LRERyGPX0iNjA6bMbeXP+01SfWp3pF2Kg4hDCS4armBMREZuwyy5XEUcVkxDDqN9H8uLJ0dRJ9iCiVQQv13gZXNysjiYiIjmYCjqRrJCaBIemEZuvPlO3TKNY1a50bPAePt7FrE4mIiK5gAo6kftgGAYL9i1gxvqPWOS9j2I1P+FE3xPkcctjdTQREclFVNCJ3KPt+7/l8obevHj0Ig+WbsHpJr9TtEAYKuVERCS7qaATyazUZP6zYijfrPuQRcXz8OtTM2hYsbPVqUREJBdTQSeSQReuXsA4MIXA0wtpVn405QqUI6xKB1ycXayOJiIiuZwKOpG7uJ5whS/WjWPI2sm8VLwKH1d9miYlGoGLu9XRREREABV0IreVaqTyzc5vCNrcjTIpCXSo8hqDGr8LeQtaHU1ERCQdFXQit3JmOVdcC/DaT6/xaqm6vPLAYCYXb2F1KhERkVtSQSfyD7vP7WbMqveZ4RSFf7nX2N9rP0V8ilgdS0RE5I7ssqCLiIggIiKClJQUq6NILnH2wi52rmjPM/v34O9bmn2tvyCsZCuKODlZHU1EROSunAzDMKwOcTsxMTH4+fkRHR2Nr6+v1XEkJzIMZm6PZPivr7GySALrivfi8QfH4q4JDyIi4kCcrQ4gYoXk1GQuHp4FvzWiXL6SPF2jNz5Pn6Vd+AQVcyIi4nDssstVxFaM1FR+3TeHfiuGUc3LjVkVqvBA0ao8UDLc6mgiIiL3TAWd5BqbTm3i+LInKJr4F4W9w3mz+Ticita0OpaIiMh9U0EnOV/cMa6nJPDIrEdo7uvNG9WHsqzWuzg5a8SBiIjkDCroJMe6fO0yY1ePZtjVuXgWasTKTispH1AeV2d924uISM6in2yS4yQmxrFmxYv02LmSvxKTeOTRUTwY1pmKbt5WRxMREbEJFXSSo6w8tpI3f+jMr/n+ZEDppjz28CwKexe2OpaIiIhNaRCR5Ajx59bDqrbkc3WnWEAVLjRbz8tPLlMxJyIiuYJa6MSh7T+3i7eWv03ClX38XCo/1fwKsei5RVbHEhERyVYq6MQhnYs/x4pfnyLkymq2xwTzQdORGJWfw8lJjc4iIpL7qKATx5J8FSPhEo1nNqdwwgmGVmjF3g6z8XT3sTqZiIiIZVTQiUNISU3hqx1f0f7sdDzdfZnx+AzK+pelQJ4CVkcTERGxnF0WdBEREURERJCSkmJ1FLEDmzePZPCmL1l6Zh/eTfrzdPVXqOdTxupYIiIidsPJMAzD6hC3ExMTg5+fH9HR0fj6+lodR7LZgYsH6P/La3yWuoxFFKdK0znUDaprdSwRERG7oxHkYndSrp6CjT1xSozhSMwZtlWdyssdjqqYExERuQ277HKV3CnmejRj1oxl7YF5/FbkGmVLdmDnqztxcnKyOpqIiIhdU0EnlktKSWLJ768TePQzJp5yoXe9N7n24CDyuPugUk5EROTuVNCJdQwDEi/z+NwOnDj+C5+WCWHvKwspVqCi1clEREQciiZFiCXWnVxH6NGJ+F09SlS5keTzyk/VwlWtjiUiIuKQNClCstWfJ5fz2pxHqf95fWZcSYHK79G4VLiKORERkfugLlfJFpeuXeKDlcN49ewEGiTnoXabL+hYtSM4u1gdTURExOGpoBPbSrkOByKI9w/n613fEFq9Fy80GEoerwCrk4mIiOQYKujEJlKNVGbvms3XGyfwk+8RgmsHc7zvcTxdPa2OJiIikuNoDJ1kuY27p7P6K39eXvACHnmLcr7ZOijxjIo5ERERG1ELnWSdlET6/TaI7zePZ16wD1Htv6N2uWesTiUiIpLjqaCT+3Y69jRuBz8l4OzPtC4/mnpB9aga1k47PIiIiGQTu+xyjYiIICwsjNq1a1sdRe4g7uoZPl7Wj7KTyjLu4B9Q6kWalGzMMxWfUTEnIiKSjbSwsGRacmoyX2z9goo7ehOdnMSKEm8y5MEh5PfKb3U0ERGRXEldrpJxhgGnfuGyexH6L+nP62XD6fHAO7Qq2tDqZCIiIrmaCjrJkC2ntzBu1ft87bqGwApvcrjPYQLzBlodS0RERFBBJ3dx8sxG9kc9z5MHDlHMP5SDrb+lfPBDBGqMnIiIiN2wy0kRYgcMg6mbptJoRkPKJBxlZpNB7Hh1B+WLNwMVcyIiInZFBZ2kk5iSyIUDX8DSBlQKKE/H+oMJePYibRuOxNVZDboiIiL2SD+hBQAjNZVFO2fSL2oEDX39iAytSYOi1WlQMtzqaCIiInIXKuiEP47/wYWVTxKYdI4KAY8wsNlYKFjR6lgiYkcSExNJTk62OoaI3XF1dcXd3d3qGCrocrWYA1xLTaXN7Da0zh/A67UH8lO1N61OJSJ2JjExkd27d5Oammp1FBG74+zsTMWKFS0v6mxW0B07dozhw4ezfPlyzpw5Q9GiRenQoQP/+c9/LH/Tud35+POMXPUBYxO+x6toS9a8tIayBcri7KQhlSJys+TkZFJTUylZsiReXl5WxxGxG9euXePYsWMkJydbXtvYrKDbt28fqampTJ06lZCQEHbt2kW3bt2Ij49n3Lhxtrqs3MHV6xdZt+wFuu5azWXDlXaPjaV+6IuUd/G0OpqIOAAvLy/y5MljdQwRuxMdHc3169fx8PAgb968lmTI1q2/xo4dy5QpUzhy5MgtjyckJJCQkJB2PyYmhuDgYG39lQWWHF5C/x86s6zAaX7wa8Xjzb6kQJ4CVscSEQdw9epV9u7dS2hoqAo6kX+48X9jy5YtxMfH4+vry7PPPmtJUZetfWzR0dH4+/vf9vjIkSPx8/NLuwUHB2djuhzq0hZY+RiBHt5UKNaQ2BbbeanNTyrmREREskjevHlxd3cnJiYmXcNUdsq2gu7w4cNMmjSJV1555bbnDB48mOjo6LTbiRMnsitezpPyv28oN19Ijqd6/mLMaTeH0gWrWJtLREQkh/Hw8MDDw8PSDJku6N577z2cnJzueNu0aVO655w6dYqWLVvSrl07Xn755du+toeHB76+vulucg/2joMl9SE1BXxCoNkKyFvC6lQiIiJiI5meFNGrVy/at29/x3NKliyZ9vWpU6do0qQJ9evXZ9q0aZkOKBmUFAuJVyBvMAQ+CM6eQLYNjxQRERELZbqgCwgIICAgIEPn/vXXXzRp0oSaNWsyY8YMnJ21LIbNrHwU3PNB40UQUNe8iYiISK5gs2VLTp06RXh4OMWLF2fcuHGcP38+7VjhwoVtddncwzDgr0XgXxPyBEGNj8BTf68iIiK5kc0KuiVLlnDo0CEOHTpEUFBQumPZuFJKzpUcD+u7QdhACO0PBWpbnUhEREQsYrM+0M6dO2MYxi1vco+u/mUWcUkx4OYNj2yFCtqqS0TElsLDw3njjTesjnFb2Zlv79692XIdyTwNanMEaUWwAWdXQswB826eYuDkZFUqERHJRT755BPLl+Y4f/78XXebOnXqVDalsS8q6OzdiQX/W4IkyRwr13o/FKhldSoRkRwlMTHR6giWCQ8PZ/78+Xc8Z8mSJQQGBlK6dOlsSnVrgYGBNGrUiIiIiNues3LlSrp3786KFSsy/LobN27kjTfeIDIyku7du3P06NGsiJutVNDZIyMVrl8wv/YuA/mrQ8p1876T/slExHGVLFmSTz75JN1j1apV47333gPM4qJXr1706tWLfPnyUaBAAd5+++10w3Uyco5hGIwZM4bSpUvj5eVF1apVmTt37k2v0a9fPwICAmjevPkdcycnJ9/2egkJCfTp04eCBQvi6elJw4YN2bhxY6be941Mffr0YeDAgfj7+1O4cOF0xwHi4+Pp2LEj3t7eFClShI8++uiOue9m4cKFuLi4MGjQIJKSkm573sSJE++6ZFl2qVOnDhs2bODChQu3PP7888/z6aefcuLECV5++WV++eWXO75eQkIC7dq1Y/DgwXTq1IkuXbrQpUsXW0S3KVUH9mh9V1j1uNnVmr8K1JkCbj5WpxIRSed07GmuJ5u/bB69fJQtp7eku52OPX1PrxsZGYmrqyvr169n4sSJjB8/nunTp2fqnLfffpsZM2YwZcoUdu/eTd++fenQoQNRUVE3vcYff/zB1KlT7znTwIEDmTdvHpGRkWzZsoWQkBBatGjBpUuX7um9582bl/Xr1zNmzBiGDRvG0qVL044PGDCAFStWsGDBApYsWcLKlSvZvHlz2vGZM2filMGhOMnJyWzevJk5c+Zw7ty52/4d7Nixg6CgIFxcXDL9fmylTZs2zJw587bHXV1d6dixI9OmTSMmJoaXXnqJBQsW3HIc/6pVq/D19aVQoUKAWTCuW7eOs2fP2iq+bRh2LDo62gCM6Ohoq6PY3pU9hhF3zPz63BrDOBtlbR4Rkf+Jj483Nm3aZMTHx6d7fOiKocbBiwcNwzCMF+a9YPAe6W5DVwy96bVKlChhjB8/Pt1jVatWNYYONc9t3LixERoaaqSmpqYdf+utt4zQ0NC0+3c7Jy4uzvD09DTWrFmT7jpdu3Y1nnvuubTXqFatWobe/52uFxcXZ7i5uRmzZs1KO5aYmGgULVrUGDNmTIbf943rNGzYMN05tWvXNt566y3DMAwjNjbWcHd3N2bPnp12/OLFi4aXl5fx+uuvG4ZhGPPnzzfKly+fofc1ffp04+BB899v1KhRRmBg4C1/3n788cfG9OnT0+4nJycbkydPNjp06GBs2LDBMAzDeP75543IyMgMXfdOkpOTjUmTJhmdOnVKe+0TJ04YjRs3Tnfe+fPnjSZNmmT4dVNTU42FCxcaL7zwgvHbb7+lOzZt2rSbXj8gIMBYtmzZXV/3xv+NuXPnGtOnTzfGjx9vXLx4McO5spJa6OxBagqsbAV7Rpv3A+tDwUbWZhIRuYseNXsQ5GsuSzW8yXA2d9+c7tajZo97et169eqla2WqX78+Bw8eJCUlJUPn7Nmzh+vXr9O8eXO8vb3Tbl9++SWHDx9Oe06tWhkfj3y76x06dIikpCQaNGiQdszNzY06derc04zQKlXS77ddpEgRzp07B5h7oicmJlK/fv204/7+/pQvXz7tftu2bdm3b99drxMXF8f58+cJCQkB4PXXXydPnjyMHj36pnNPnjxJwYIF0+5///33PPvss1y9epVjx44B0Lp1a2JiYjL+Rm9j0aJFtG/fnmvXrqWNY1u6dOlNy58FBASk+7e8mwsXLrBlyxYKFChAqVKlbjrm6emZ7jFPT0+uXLlyb2/CIjZbh+5+REREEBERke4/b46THA/7J0CZ7uAZAI1/NPddFRFxEEV8iqR9XSp/KUpR6g5nm5ydnW/q9rrT2K17kZqaCsBPP/1EsWLF0h375yzNvHnzZtk1/93NaRhGuscy+r7d3Nxuet0b7+ffz78fn332Gd26dUu77+npyYgRI+jevTuvvfZaur+3uLg4vLy80u43bdqU1NRUfv/9d77++msAypQpc8sJExMmTLjjBIPGjRvTtm3btPsPPfQQAMuXL+eLL74AzEkOtxrjmJGu5VOnTjFp0iSSkpLo3bs3JUrcvK+5n5/fTX+3cXFxGd4Vy17YZUHXs2dPevbsSUxMDH5+flbHsY3kq7DvE/CrCEGPQ76KVicSEbG5wMBATp/+e2xdTEzMTT/w161bd9P9smXLphvDdadzwsLC8PDw4Pjx4zRu3DhLct/ueiEhIbi7u7N69Wqef/55wCzUNm3alG5tuIy877sJCQnBzc2NdevWUbx4cQAuX77MgQMHMvU+z5w5g6enJwUKFEj3+PPPP8/48eN59913+fzzz9MeDwgI4PLly2n38+XLx1dffUV4eHhaobdz5046d+5807Vef/31zLxFfH19mT17No0aNUoruKOiovjwww+5cuUK+fLlSzvX1fX2JcyxY8eIiIjA3d2dPn36UKRIkdueW6FCBT777LO0+wkJCcTGxt6y+LNn6nLNThc3wopHIPkaeAbC48fMYk5EJJdo2rQpX331Fb///ju7du2iU6dONw22P3HiBP369WP//v18++23TJo06abC4E7n+Pj40L9/f/r27UtkZCSHDx9m69atREREEBkZeU+5b3e9vHnz8uqrrzJgwAAWL17Mnj176NatG1evXqVr166Zet934+3tTdeuXRkwYADLli1j165ddO7cOd0+6QsWLKBChQp3fJ0pU6bQpk0bLly4kO528eJFBg0aRGRkJLt27Uo7PzQ0lOPHj6d7jbNnz6YrKr29vbNsv/YTJ06kdQXv2rULNzc3ChYsmG6WclJSEj4+t54sOG7cOL788ksGDRrEiBEj7ljMATRq1Ihz585x8uRJwCwga9eu7XAFnV220OU4KdfBxRPc84ORDIkXwTUIXPNYnUxEJFsNHjyYI0eO8Nhjj+Hn58fw4cNvaqnq2LEj165do06dOri4uNC7d2+6d++eqXOGDx9OwYIFGTlyJEeOHCFfvnzUqFGDIUOG3FPuO11v1KhRpKam8uKLLxIbG0utWrX49ddfyZ8/f6bed0aMHTuWuLg42rRpg4+PD2+++SbR0dFpx6Ojo9m/f/9tn3/gwAFGjBjBsGHD7nidIUOGsGjRIgBatmxJt27dePPNv3cmat++Pf369eOrr74iOTmZTp06Zfq93M5TTz3FW2+9xZw5cwCoWbMmkydPTtcCuHHjRpo2bXrL5/fv3z9T13N1dSUyMpIRI0ZQr149oqKimDVr1j3nt4qTkZWd8lnsRpdrdHQ0vr6+Vse5N7tHwfH/g5YbtYaciDikq1evsnfvXkJDQ8mTx7a/iIaHh1OtWrWb1mzL7DmStbp3786wYcMoXLiw1VEAc1maNm3aUKdOHUtz3Pi/cezYMa5cuUJsbCwdO3bE398/27Oohc4WEqPN/VbzBkOhJuCez1xTTrt0iYiIA3r33XeZPHkyH3zwgdVRiImJ4fz587ct5saPH3/HGbBNmjThqaeeslU8y6igs4WVj4BnIWi0AALqmjcREREHFRQURNu2bfn5559p1aqVZTkMw2D8+PF3LCz79u2bjYnshwq6rGAYcGI+BNSDPMWg5gTwKnb354mISDorV67MknMk69WsWdPqCFy8eJFXX32VwMBAq6PYHQ3qygrJcbDxFThuDuCkQG3IU9TaTCIiIjlMQEBAukWO5W8q6O5V/AlY95I5Vs7NB1rtgAq5s5lXRERErKWCLrNuTAp2coLzf0Ds/wZeet15nRsRERERW1FBlxnH/w9+rQupSZAnCB7bC/7VrU4lIiI2FB4enm7XB3uTnfnuZX9ayR4q6O7GSIXr582vfcqZEx9SEsz7WldORERyiU8++STdXri3c/78ecaNG3fHc06dOpVVseR/VJHczdpO8PuTZldr/qpQayK4eVudSkREslBiYqLVESwTHh7O/Pnz73jOkiVLCAwMpHTp0nd9vcDAQBo1akRERMRtz1m5ciXdu3dnxYoVGc65ceNG3njjDSIjI+nevfs97bSRk9llQRcREUFYWBi1a9e2JsCVnRD/p/l12deg2mhzzJyIiNyXkiVL3rTDQ7Vq1XjvvfcAs7jo1asXvXr1Il++fBQoUIC3336bf25qlJFzDMNgzJgxlC5dGi8vL6pWrZpuL9Abr9GvXz8CAgJo3rz5HXMnJyff9noJCQn06dOHggUL4unpScOGDdm4cWOm3veNTH369GHgwIH4+/tTuHDhdMcB4uPj6dixI97e3hQpUoSPPvrojrnvZuHChbi4uDBo0CCSkpJue97EiRNp3759hl+3Tp06bNiwgQsXLtzy+PPPP8+nn37KiRMnePnll/nll1/u+HoJCQm0a9eOwYMH06lTJ7p06UKXLl0ynCc3sMuCrmfPnuzZs+em/xDZIjUZolrD3v/9JwmsD4EPZH8OERE7d/o0XL9ufn30KGzZkv52+vS9vW5kZCSurq6sX7+eiRMnMn78eKZPn56pc95++21mzJjBlClT2L17N3379qVDhw5ERUXd9Bp//PEHU6dOvedMAwcOZN68eURGRrJlyxZCQkJo0aIFly5duqf3njdvXtavX8+YMWMYNmwYS5cuTTs+YMAAVqxYwYIFC1iyZAkrV65k8+bNacdnzpyJUwYbIJKTk9m8eTNz5szh3Llzt/072LFjB0FBQbi4uGTqvbRp04aZM2fe9rirqysdO3Zk2rRpxMTE8NJLL7FgwQJutSPpqlWr8PX1pVChQoBZMK5bt46zZ89mKlOOZtix6OhoAzCio6Nte6HEWMPY8b5hXL9g3r+yxzCSE2x7TRERBxEfH29s2rTJiI+PT/f40KGGcfCg+fULLxiGOTbl79vQoTe/VokSJYzx48ene6xq1arG0P+d3LhxYyM0NNRITU1NO/7WW28ZoaGhaffvdk5cXJzh6elprFmzJt11unbtajz33HNpr1GtWrUMvf87XS8uLs5wc3MzZs2alXYsMTHRKFq0qDFmzJgMv+8b12nYsGG6c2rXrm289dZbhmEYRmxsrOHu7m7Mnj077fjFixcNLy8v4/XXXzcMwzDmz59vlC9fPkPva/r06cbB//0Djho1yggMDLzlz9uPP/7YmD59etr95ORkY9KkSUanTp2MDRs2GIZhGCdOnDAaN26c7nnnz583mjRpkqEshmEYqampxsKFC40XXnjB+O2339IdmzZt2k2vHxAQYCxbtizDr28LN/5vzJ0715g+fboxfvx44+LFi5ZkscsWumyXcg0ORsD5NeZ9v1Bwcbc2k4iInevRA4KCzK+HD4fNm9PfevS4t9etV69eulam+vXrc/DgQVJSUjJ0zp49e7h+/TrNmzfH29s77fbll1+m2+OzVq1a953p0KFDJCUl0aBBg7Rjbm5u1KlT555mhFapUiXd/SJFinDu3DkADh8+TGJiIvXr10877u/vT/ny5dPut23bln379t31OnFxcZw/f56QkBAAXn/9dfLkycPo0aNvOvfkyZPpFvNdtGgR7du359q1a2nj2JYuXUrQjW+G/wkICLjjnqr/duHCBbZs2UKBAgUoVarUTcc8PT3TPebp6cmVK1cy/Po5Xe7d+uvCetjxLjT+HjwDoc0xcPWyOpWIiMMo8o/lN0uVMm934+zsfFOX2p3Gbt2L1NRUAH766SeKFUu/DeM/Z2nmzZs3y675725OwzDSPZbR9+3m5nbT6954P/9+/v347LPP6NatW9p9T09PRowYQffu3XnttdfS/b3FxcXh5fX3z8eHHnoIgOXLl/PFF18A5iSHW41DzEj376lTp5g0aRJJSUn07t2bEiVK3HSOn5/fTe8/Li6OgICAu75+bpH7WuiSr5l/uuc3JzokXDTvq5gTEbG5wMBATv9jcF1MTMxNsxXXrVt30/2yZcumG8N1p3PCwsLw8PDg+PHjhISEpLsFBwffU+7bXS8kJAR3d3dWr16ddiwpKYlNmzYRGhqaqfd9NyEhIbi5uaXLcvnyZQ4cOJCp1zlz5gyenp4UKFAg3ePPP/88oaGhvPvuu+keDwgI4PLly2n3fX19+fnnn2nUqFFaURwVFUWzZs1uajFzdb19u9GxY8cYMGAAERER9OnTh3Hjxt2ymAOoUKFCWkslmJMkYmNjb3t+bpS7CrpdH8DShubacr7loMliyFPs7s8TEZEs0bRpU7766it+//13du3aRadOnW4abH/ixAn69evH/v37+fbbb5k0aRKvv/56hs/x8fGhf//+9O3bl8jISA4fPszWrVuJiIggMjLynnLf7np58+bl1VdfZcCAASxevJg9e/bQrVs3rl69SteuXTP1vu/G29ubrl27MmDAAJYtW8auXbvo3Lkzzs5//yhfsGABFSpUuOPrTJkyhTZt2nDhwoV0t4sXLzJo0CAiIyPZtWtX2vmhoaEcP378pr+PG921u3btws3NjYIFC6abSZyUlISPj88tM4wbN44vv/ySQYMGMWLECIoUufNuS40aNeLcuXOcPHkSMAvI2rVrq6D7h5zf5ZpwCZLjIG9xKNzc3KLLMECrkIiIZLvBgwdz5MgRHnvsMfz8/Bg+fPhNLVUdO3bk2rVr1KlTBxcXF3r37k337t0zdc7w4cMpWLAgI0eO5MiRI+TLl48aNWowZMiQe8p9p+uNGjWK1NRUXnzxRWJjY6lVqxa//vor+fPnz9T7zoixY8cSFxdHmzZt8PHx4c033yQ6OjrteHR0NPv377/t8w8cOMCIESMYNmzYHa8zZMgQFi1aBEDLli3p1q0bb775Ztrxp556irfeeos5c+YAULNmTSZPnkznzp3Tztm4cSNNmza95ev379//ru/1n1xdXYmMjGTEiBHUq1ePqKgoZs2alanXyOmcjKzslM9iMTEx+Pn5ER0dja+v7729yK91zW26HpyXteFERHKJq1evsnfvXkJDQ8mTJ49NrxUeHk61atVuWrMts+dI1urevTvDhg2jcOHCGX7O22+/TZs2bahTp44Nk1nrxv+NY8eOceXKFWJjY+nYsSP+/v7ZniXntdAZqfDnHCjYCPIUhVoRkOfexkyIiIgIvPvuu0yePJkPPvggQ+fHxMRw/vz52xZz48ePv+MM2CZNmvDUU0/dU9bcKucVdMlxsLk3VHoXyveGAhmfli4iIiI3CwoKom3btvz888+0atXqjucahsH48ePvWPz17ds3qyPmejmjoIv/01yCpNZkcPOFVrvAq5DVqUREJJNWrlyZJedI1qtZs2aGzrt48SKvvvoqgYGBNk4k/+TYs1yN1P994QwXN0LcEfOuijkRERFLBAQEpFuIWLKHXRZ0ERERhIWFUbt27dufdGy2OeEhNQnyBsOjuyF/1ewLKSIiImIn7LKg69mzJ3v27GHjxo3pD6SmwLX/bcTrV8Gc+JCaaN7P4GbEIiIiIjmNY42hW/MCXD8NzaIgfzXzJiIiIja3efNmEhISyJs3L1WrqkfM3thlC91N4v+3QnX516HaWGuziIiI5DILFiwgLCyMWrVqMX78eKvjyC3Yd0GXmmz+eeBT88/A+hCQcxcoFBHJ6cLDw3njjTesjnFX9p4zO/Pt3LmTGjVqsGTJEl588cWbdu24k71799owmfyTfRd0zv/rEa463NocIiIiOdTVq1eJj4+/7fFTp04RFBREcnIyZ8+exdU1Y6O1PvnkEzw8PDJ07vnz5xk3blyGzpVbs++C7gZnN6sTiIhIDpSYmGh1BEv99NNP1KhRg7Fjbz+cyTAMXFxceOqpp2jTpg1Xrly56+suWbKEwMBASpcunaEcgYGBNGrUiIiIiIxGz5CNGzfyxhtvEBkZSffu3e9p/1xH4RgFnYiI5DgJCQn06dOHggUL4unpScOGDdOtbvDDDz+QL18+UlPNNUe3bduGk5MTAwYMSDunR48ePPfcc4BZeIwZM4bSpUvj5eVF1apVmTt3brprhoeH06tXL/r160dAQADNmze/bb7k5GR69epFvnz5KFCgAG+//Tb/3P78bvlLlix5036z1apV47333kuXp0+fPgwcOBB/f38KFy6c7jhAfHw8HTt2xNvbmyJFivDRRx/d+S82Ex599FGeffbZ2x4/d+4c+/btA+DatWvs27ePJk2acPLkSRYvXpx227ZtW7rnTZw4kfbt22cqS506ddiwYQMXLlzI9Pu4lYSEBNq1a8fgwYPp1KkTXbp0oUuXLlny2vZIBZ2IiFhi4MCBzJs3j8jISLZs2UJISAgtWrTg0qVLADRq1IjY2Fi2bt0KQFRUFAEBAURFRaW9xsqVK2ncuDFgbgY/Y8YMpkyZwu7du+nbty8dOnRIdz5AZGQkrq6u/PHHH0ydOvW2+W6ct379eiZOnMj48eOZPn16hvNnVGRkJHnz5mX9+vWMGTOGYcOGsXTp0rTjAwYMYMWKFSxYsIAlS5awcuVKNm/enO41Zs6cidM9Lt91p+dt3ryZFi1a8Mcff7Bs2TImTJiAm5sbQUFBtGzZMu1WrVq1tOfs2LGDoKAgXFxcMp2lTZs2zJw585bHJkyYwLBhwzhz5kyGXmvVqlX4+vpSqJC52UCdOnVYt24dZ8+ezXQuR6CCTkRE7s2105By3fw6/gRE7/n72JWd5vHbiI+PZ8qUKYwdO5ZHHnmEsLAwPvvsM7y8vPj8888B8PPzo1q1amlbfa1cuZK+ffuyfft2YmNjOXPmDAcOHCA8PJz4+Hg+/vhjvvjiC1q0aEHp0qXp3LkzHTp0uKloCwkJYcyYMZQvX54KFSrcNmNwcDDjx4+nfPnyvPDCC/Tu3TtthmdG8mdUlSpVGDp0KGXLlqVjx47UqlWLZcuWARAXF8fnn3/OuHHjaN68OZUrVyYyMpKUlJR0r+Hn50f58uXveJ01a9bQp08fPvvsMwYNGsTq1avTjsXHxxMZGUlkZCRt27ZNG1Pn5OREaGgoDRo04LHHHsPLy+uu72fZsmU3bQyQkpLC5MmT6dy5c1or5smTJwkPD093XuPGjfn5559v+bqvv/46PXr0YOrUqQwcOJD9+/ffMcexY8fw9/dPu+/i4oKPjw+7d+++63twRCroRETk3hycCldPml/vHQt//KOLbcUj5vHbOHz4MElJSTRo0CDtMTc3N+rUqZNuZmR4eDgrV67EMAx+//13Hn/8cSpVqsTq1atZsWIFhQoVokKFCuzZs4fr16/TvHlzvL29025ffvklhw8fTnftWrVqZejt1atXL13rVf369Tl48CApKSkZzp8RVapUSXe/SJEinDt3DjD/nhITE6lfv37acX9//5uKt7Zt26Z1jd7K6dOneeqppxgyZAjdunXD09MzXSvf+vXr6dSpE506dSIlJYVff/0VgCZNmmTqvYBZqP17669FixbRvn17rl27ljaObenSpQQFBaU7LyAg4KZ/r38qVKgQQ4cO5Z133uHnn3+md+/erF279pbnXrhwAU9Pz3SPeXp6ZmgMoCNyrIWFRUTEfpTtAe75za9DB0DZV/4+1uQX8Ai47VNvjEX7d3efYRjpHgsPD+fzzz9n+/btODs7ExYWRuPGjYmKiuLy5ctp3a03xtn99NNPFCtWLN1r/numZd68eTP3Pu8xv7Ozc7oxdwBJSUk3vZabW/qJf05OTmnv59/Pv1fz5s2jePHiFC5cGOCmcXo1a9ZM+9rf35+YmBjg5r+7jIiLi7upJe+hhx4CYPny5XzxxReA2eJ6qzGMGek69vHxoW/fviQmJjJr1iy++OILOnXqRMOGDdPO8fPzu+nvLy4ujoCA239fOjK10ImIyL3xKgIu/2sByRsMfmF/H8tX2Tx+GyEhIbi7u6fr9ktKSmLTpk2EhoamPXZjHN0nn3xC48aNcXJyonHjxqxcuTLd+LmwsDA8PDw4fvw4ISEh6W7BwcH39PbWrVt30/2yZcvi4uKSofyBgYGcPv13t3NMTEymZ1mGhITg5uaWLsvly5c5cOBApl4nNTX1jsXhvYx3u52AgAAuX76c7jFfX19+/vlnGjVqlFZQR0VF0axZs5tazDK6LAqYf6d//fUX3t7eN7UKVqhQIa2lE8xJErGxsZQoUSKT78gxqIVORESyXd68eXn11VcZMGAA/v7+FC9enDFjxnD16lW6du2adt6NcXRff/01EyZMAMwir127diQlJaWNwfLx8aF///707duX1NRUGjZsSExMDGvWrMHb25tOnTplOuOJEyfo168fPXr0YMuWLUyaNClthmlG8jdt2pSZM2fSunVr8ufPzzvvvJPpwsnb25uuXbsyYMAAChQoQKFChfjPf/6Ds3P69pgFCxYwePDg23a7tm3bluHDh3P8+HGKFy8OwOzZs+86E/XcuXMsWbIEZ2dnNm/ezOjRo+9acIWGhnL8+PGbHj9x4gQhISEA7Nq1Czc3NwoWLEhkZCQvv/wyYBbFPj4+d3x9gKNHjzJt2jScnZ155ZVXblm0N2rUiHPnznHy5EmCgoKIioqidu3aKuiyU0REBBERETcN+hQRkZxj1KhRpKam8uKLLxIbG0utWrX49ddfyZ8/f7rzmjRpwpYtW9KKt/z58xMWFsapU6fSteYNHz6cggULMnLkSI4cOUK+fPmoUaMGQ4YMuad8HTt25Nq1a9SpUwcXFxd69+6dbpeEu+UfPHgwR44c4bHHHsPPz4/hw4ff0zpoY8eOJS4ujjZt2uDj48Obb75JdHR0unOio6PvOEkgODiYefPm8fbbb9OwYUNSU1Np1aoVixcv5scffyQpKYkff/yR2NhY/vjjD06ePEmFChU4duwYV65coVevXqxbt47ffvuNli1b3jFvy5Yt6datG2+++Wa6x5966ineeust5syZA5jdvDcmStywceNGmjZtetvX3rp1K5GRkRQuXJiBAwfe9L3yT66urkRGRjJixAjq1atHVFQUs2bNumN2R+ZkZFUHvQ3ExMTg5+dHdHQ0vr6+VscREcmVrl69yt69ewkNDSVPnjxWxxGLPPPMM4wZM4aSJUve9dzu3bszbNiwtDF7GfX222/Tpk0b6tS5eZvPCRMm4OnpSadOnW6a7GCVG/83bhS+sbGxdOzYMd3s2uyiMXQiIiJyRz/99BPt2rXLUDEH8O677zJ58uRMXSMmJobz58/fspiDv5ctsZdizt6ooBMREZHb2rhxI4UKFaJdu3bs2bPn7k8AgoKCaNu27W3XlPs3wzAYP348H3zwwf1EzdXscgydiIiIWG/t2rX06NGDggULkpiYyJQpUzL83H8uhXI3Fy9e5NVXXyUwMPBeYgoq6EREROQ26tevz44dO2x+nZy6Nlx2UperiIiIiINTQSciIiLi4FTQiYiIiDg4FXQiIiIiDs6mBV2bNm0oXrw4np6eFClShBdffJFTp07Z8pIiIiIiuY5NC7omTZowZ84c9u/fz7x58zh8+DBPP/20LS8pIiIikuvYdNmSvn37pn1dokQJBg0axBNPPEFSUhJubm62vLSIiIhIrpFt69BdunSJWbNm8cADD9y2mEtISCAhISHtfkxMTHbFExEREXFYNi/o3nrrLSZPnszVq1epV68eP/74423PHTlyJO+//76tI4mIyD24du2a1RFE7Io9/Z9wMgzDyMwT3nvvvbsWXRs3bqRWrVoAXLhwgUuXLvHnn3/y/vvv4+fnx48//oiTk9NNz7tVC11wcDDR0dH4+vpmJqaIiGSRxMREdu/eTWpqqtVRROyOYRgcOXKE2NhYYmNj6dixI/7+/tmeI9MF3YULF7hw4cIdzylZsiSenp43PX7y5EmCg4NZs2YN9evXv+u1YmJi8PPzU0EnImKxxMREkpOTiY6O5scffyRv3rx4eHhYHUvEcikpKSQnJ3Pt2jVLC7pMd7kGBATc855rN2rHf7bCiYiI/XN3d8fd3Z3r168THx9PUlKSCjqRf7C6trHZGLoNGzawYcMGGjZsSP78+Tly5AjvvvsuZcqUyVDrnIiI2B8PDw98fX2JiYkhMTHR6jgidsXX19eyX3RsVtB5eXkxf/58hg4dSnx8PEWKFKFly5bMnj1bv9WJiDiovHnz8uyzz1reGiFijzw8PMibN68l1870GLrspDF0IiIiInenvVxFREREHJwKOhEREREHZ9ddroZhEBsbi4+Pzy3XrRMREREROy/oREREROTu1OUqIiIi4uBU0ImIiIg4OBV0IiIiIg5OBZ2IiIiIg1NBJyIiIuLgVNCJiIiIODgVdCIiIiIO7v8BgfgBg9s1f5kAAAAASUVORK5CYII=\n", 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fYdYsqFPHXCC4qmPWOVmWnJbMZxs+4/cdM1hY8AzlQptyqN8hPN0du2RSC52FHntM6+6IiIhzSE6G6dOhUiXo3Bni480JD5A7ijnDMFi2bhgbvsnPkEUDKFX4XmJabYMiDzp8MQeaFCEiIiK3YRjm2O/16+GJJ+Cdd6BmTatTZaPUBDot6MmmvbOYUboQ+e/7D5VKNLU6VZaooLNYfDxcuaI16URExLFcuQJffglPPQVFi5ozWEuVyh2tcdfsO7+P0IMTKHB5I8sqfIibmwfNyzS3OtYdUZerxWrVMqd2i4iIOIKEBPj4YyhTBvr3h2XLzMcffTT3FHPnLu7i7Z87c89n9zDl5DGo+CotyrRw2mIONCnCcg0bQnS01SlERETgp5/gpZfg8mVznNyQIRAWZnWq7JOYksj41Z/Q5shQaqR4MOr+UfS9ty94+lgd7a6poLNYkybmfnaXL0P+/FanERERV3PhgrkuarVqULKkuQTJ4MFQurTVybKRLQ2OfsNlv2qMXTMOnyrP8ELjYQTlL291smyjMXQWO3TI/O3n55/N5mwREZGccPq02bU6ZQpUqQJr11qdyD4WHVrEF2tG84PPVtxqfERsiWcI8M59NYXG0FmsbFnzt6DDh61OIiIiruDyZejTx/y/Z+pUePVVs1Eht9l75BeWzSpCu1mtOJuSwvEmSyCse64s5kAtdA4hNRU81fktIiJ2dO6cuaJCUhLce685e7VPn1w43MewMfLPUUz78x0WlsjDiarjaFGjD27OvgfZbThkGREREUFERARpaWlWR8kRnp7mXniGAR4eVqcREZHcZPt2+PBD+PFH2LfPXHpkyxbn32P1f8UmxZJ8YCrBJ+bQqMKHFHgwgrI1X6Kip2us4K8WOgfw99/m+IXZs6FVK6vTiIhIbrB+vbks1oIFZhH35pvwwgvg4/wTOjNISUnk2w0TeHPVeDoUDWNileZQ5V3wyGVv9DYcsoXO1RQtCr6+sHixCjoREblz15po3Nxg4kTYuxdmzoSOHcHLy9Jo2c4wDH7c+yP+656nRGoCj1ToyhvNR0BAcaujWUItdA6ia1fYvNlsGhcREckKw4CFC80WuZdeMv9PuXwZ/P1z6VCe82u57JaXUl/eR9diFelVfyAVyz9tdSpLaZarg2jVCnbsgFOnrE4iIiLOwmaDefOgTh14+GFzkl2pUuax/PlzXzF3+NJhevzYBduKduQ//h3bX97OhOfXu3wxB+pydRgPPGA2ka9aZc48EhERuZ1586B9e2jeHJYsgRYtct9kB4CLlw+xZVkHnt2zlTy+hdjZZhLVyrWjlHsuq1jvgrpcHcipU1CkiNUpRETEUSUnm7sLHTgAH30EKSmwaRPUr291Mvv5z87/8O5v3YkuHM/yIi/weLNJ5PXKa3Ush6MuVwdyrZhz3BJbRESskJhoTnIoVw569IC//oK0NHOiQ24s5myGjUt/zYelLSjpX4iW9zyPR7tjdGw5XcXcTajL1YEcPAitW8P//R/UrGl1GhERcQRXr0LFimYvTseOMGQIVK5sdSr7WXHwNwYse49y7knMrlCBBoXuoUGpZlbHcngq6BxIyZLm3np//KGCTkTElZ05A59/bq4d5+MDo0ZBw4bmdpG51e5zu9m9uA0lrh7G070ufVp+hlup+6yO5TQ0hs7BtGkDCQmwbJnVSUREJKcdOQJjx8JXX5ndqYsX584u1QyunCY5JZ6SUxtzX14PBlRrT/2Gn+DmrlFhWaEWOgfz4IPw+usQHw9+flanERGRnDJ8uHkrUADeeQd69za/zq3ik+MZv/oTBsd9T56CtVnYaSGVgyvj7eltdTSnpBY6B7N/vzlW4pdf4JFHrE4jIiL2tHYtBARAeDj8+iscOgTdukG+fFYns5/U1Kusju5B7+0L2Z8Qw+8PjaRF1W6QJxdXrznAIQu6iIgIIiIiSEtLY//+/S5V0AFs3QrVqoFam0VEch/DMLtSR42CqCjo0wcmTbI6Vc5Yc3wNA355gV/89vGD9720enA2pfOXtjpWruCQJUPv3r3ZvXs3GzZssDqKJWrUUDEnIpIbbd8OdeuauwPFx8PcuTBhgtWp7O/qxe2wsgN+7m7kzVeMY02W0PPptSrmspHKBgd07Jg5m2nLFquTiIjI3UpO/mef7tBQCA6GRYtg/Xp44onc/Qv8sctHeH7+87Sb8zRG7F6q+uVnaeel1Cx1v9XRch1NinBARYrAnj0wf76WLxERcVYJCTBtGnz8sbmW3IkTULgwLFxodTL7u3z1MksWPUvp83+w7GIIQ5uPwFbjRTw8VHbYSy7+vcB5eXlB27bmHn0iIuJcUlJgxAgoVcpctaBZM1i+HPLksTpZDkhLxkg8SbOZzZiwfznxwU3Y13sXPWr3UDFnZw45KeIaV5zles1PP8Hjj8O+fVChgtVpRETkds6dg5AQc9JD8+ZQpQoMHAilS1udzP4Mw+CH3T/wyMnPyevhzsqwoZQrUI4i/tqgPKeohc5BPfgg5M0LP/5odRIREbmVQ4egZ08oXhxWrQI3N3Nx+MmTXaOY275zCo/PqM3TPzzNfI/KUOtTGpdsrGIuh6n900H5+kJ0tPkbnoiIOJ5t22D0aJgzx5zoMGzYP5/ZuXmiwzVHLx/lzYWv8mnyAtq4F+bVzktpUaaF1bFclgo6B1anjtUJRETk3wwDUlPNsc4//ABr1phryL3wgvmLuCuwXT2H++6PSC3agU1nd7G+wTherP0q7u4qKaykMXQOzDDg6afN7tfu3a1OIyLiutLSzJUHxoyB1q3NLboSE82JDp4uUsdcSbnCp2s/Zfme7/gj5BJuDb/FFtoEdzcXaI50AvpbcGBubhAXB99/b3USERHXdPUqfPEFVKoE7duDv785axXMcc6uUMzZDBt/rHyTrbPy80HUe4SXvJ/41tuhUDMVcw7EBX4UndsTT8Arr8D58+YYDRERsT/DMH+p3rTJ/Ax+8kn47jtzlweXkhLH0/NfYPehuUwvXZyd3edRprCrfROcg7pcHdyZM1C0KEyZAj16WJ1GRCR3O3ECxo83JzwsXmwWdceOQcmSVifLWdvPbKfkoQnkj9vFsvIj8fXKS4MSDayOJbegtlIHV6gQPPAAzJ5tdRIRkdxr925zYkPZsvDVV3DvveYCweBaxdypMxsZOP9panxeg2nnLkH4G7Qo00LFnBNwyBa6iIgIIiIiSEtLY//+/S7dQgfm4sJBQeaClSIikr1SUsw15PLkgf79zUlo/v5Wp8pZcUlxfLRyNM8dH8X21DycqzaOnrV74uXhZXU0ySSHLOiuUZeriIhkN5sNfv4ZPv3UnHRWuDBs325OfHCJ7bn+zZYCh6ZxIrAe1Wa05P1qj9Gl8TAC/V2oWTKXUJerk/jqK7PrVURE7kxyMsyYYS7++/jj5npyFy6Yx6pVc61izjAMftr7E+2+vR9j2zsUj9/F8f7H6ffQDBVzTkoFnZMoWBCWLoVdu6xOIiLinHr1ghdfNPfHXrUK/vwT7rnH6lQ5b/v+/xD1bSgd5zxOvJs3J5tFQ9nO5MuTz+pochfU5eokkpLMboFevWDkSKvTiIg4vlOnYOJEc4LD44+b45ENw+xadUm2VN6NGsasNR/wcwlfLtScyH1VuuHm5mZ1MskGWofOSXh7m4tafvstjBjhGvsEiojciZ074eOPYdYs8PExJzwAVKxobS6rXLxyEdv+KQSfmk+LCqMpU6AMlap1xsNDJUBuorLAibzwgrke0rp1VicREXFMv/4KVavCkiUwahQcPw69e1udyhpXk2KYsuI9yk0sx4e7/oDij9O81H28WPNFFXO5kLpcnYhhmF0GLttdICLyP1JS4D//gb/+grffNrfqmjfP7NHwctEVN2yGjdk7Z1N0YzeSUq/yU9FXGNp0KIX8ClkdTexIBZ0TMgxzo2hX2ENQRORGYmLgyy9hwgRzd4e2bWH+fA1H4Uw0Fz3yU/rL+3i5dA1ebjiYsqUetjqV5ACVBE4mJQVq14aXXzYnSIiIuJrYWChdGhIS4LnnYMAAs5vVle05t4cxK4YznWUElX+ZPb33UCygmNWxJAfZ9XeZFStW0KZNG4oWLYqbmxs//vijPS/nEry8oEwZ8zdTx21bFRHJXlu2QN++5i+1AQEwaRIcPWquK+fKxdyZC7tY+kM1Gn9RhegT69hTcxpUHapizgXZtaBLSEigevXqTJ482Z6XcTk9esDWrbB+vdVJRETsxzDg99/h/vuhVi345Rc4csQ81qkTFC1qbT6rfb3taxpNq0ulxJ1MadSLPb33cE/ZNuDm6v3OrsmuXa4PPfQQDz30kD0v4ZJat4ZSpeDzz831lUREcqP27WHuXKhTx5z48MQTGjucZkvj8pE5FDw8hbDyw3m8Zi/yNnqTp/Nps29X51D/NJKSkkhKSkq/Hxsba2Eax+XhAT17wsyZ5tY1rv4BJyK5w8WL5i+qbdua23P17An9+sF994Grr31r2Gws2TePAVHDqObtzrcV76FhkWo0LN3M6mjiIByqFBg1ahTDhg2zOoZTeO01GDRIxZyIOL9Dh8zZqtOnmzP4ixY1C7qWLa1O5hi2nNrCkaVtKZJ0goK+TXit5TjcitW1OpY4GIfqaB8yZAgxMTHpt+PHj1sdyWH5+prF3JEj5gegiIgzmj4dypeH776DgQPNxdO7drU6lYNIOMbVmH08+O2D/F+8O+5V3mZ55+XUVTEnN+BQ7Tve3t54e3tbHcNpHD5sfhDOmQNPPml1GhGR20tONsfDububS47cf7/Zzfr88+YvqgIxV2MYs/IjhiX+Hz6hjVnWeRmVQyrj6e5Q/2WLg3GoFjrJmrJloUkTGDtWS5iIiGM7fx5GjjTXj+vcGZYvNx8vXdqcua9iDpKT44la9BT3Ti7Dp+snsKZkP6g9kaqFqqqYk9uy609IfHw8Bw8eTL9/5MgRtm7dSlBQECVLlrTnpV3GwIHw6KOwejU0amR1GhGR6+3ebS6IDmYx9+qrEB5ubSZHE300moG/vMDCwCMMLNOMhx+cRVF/F1+XRbLErlt/RUVF0bx58+se79KlCzNnzrzt87X11+3ZbObg4YoVzW1vRESsZhiwaBGsWGG2yhkGRERAhw4QHGx1OseSeG49efeMZmvZgby9YiRjm75NeLGGVscSJ6S9XHOBr7+GP/+EL77QPoYiYp0rV+Dbb+HTT81WuVq1IDoa/PysTuZ4Dpzbw5Dl75J4aQe/ls6PW8PvwL+c1bHEiamgExGRu5aWBhUqmDPvH3sM+vfX+nE3cj7xPMv+eIpyl6J5MqY4w1uMpFO1Trhrdwe5SxplmUtcvWq21D3+OISGWp1GRFzBli0weTJ8/DHkzw/jxkG1alBODU3XS72CkXSRJjNbUijpGEMrtmLPc//B1zvQ6mSSS6igyyUSEszfiP/+G7Q2s4jYS1qauafq+PFmd2qpUnDwoLk9V7t2VqdzPDbDxrfbv6X9mWn4evkxve10woLCCNFWXZLN1MabSxQsCC+9BJMmgXZMExF76dbN7AlISYH/+79/ijm53qYtY3j4y6p0+bELv/jUhdoTaFCigYo5sQuNoctFTp4016Z79114+22r04hIbrBrl/mLYrt20KoVbN5s7iFdr57VyRzXgQsHGLSwN1+kLeYnowRVWsymYQnNXBX7UgtdLlK0KHTvbo5nUSudiNyptDT48UdzF4cqVWDBArh40TxWq5aKuZtJSzwFG/thJF9m3+XjbK76Gd2fP6piTnKEQ46hi4iIICIigjRtUpplgwebCwxrmQARuVNffgmvvAINGsD338MTT0CePFanclxxV2MZu2Yca/fP5Y9C8VQo1YFdvXZp5qrkKHW55mI2m9alE5Hb27nT7FYtUABGj4aYGDhwQGPjbifVlsoff75G8OGptDzpTu97+/PufUPI663/ryTnOWQLndy9bt0gIMCciSYi8r9SU+Hnn2HiRIiKModsvP66eSwwUMXcLRkGpFzmsR86ceyv35hStiy7ev5IieCqVicTF6YWulzqgw9gxAjYv99cVkBEBP5pud+9G+65xxyi0bev2a3q5WV1Ose34e8NVDgygcDEw0SVH0mgT35qFqlpdSwRFXS5VXy8ubhny5bmVjwi4tq2bze7VTduhE2bzKJu3z5zH2i5veN/r2DMmnFM3vUz42u157XaL0KRVtoKQxyGRljlUn5+ZivdrFmwbp3VaUTECqmp5qSG++6D6tXh99/hqafMNeRAxVxmXLpyiYELB3B1cVMaXF7CtDbT6PvI91C0tYo5cSgq6HKxF180lxfYts3qJCKSk86fN/90c4MhQ8yu1DlzzH1W334bvL2tzecU0pJg76fExx5h5vavWVa8F491PEq3Wt3wcPewOp3IddTlmsulpYGHPntEcj2bDZYsgYgI+O03szu1bFlzxmqgtgvNNMMw+M+u//Dthgn87H8At7oRXCnaFl8vX6ujidySWuhyOQ8PSEqCsWO12LBIbvXZZ2b3aatWcPQoTJ4MoaHmMRVzmbdp9wxWfBPEi/OexcM3lLP3r4FSz6iYE6egZUtcwNmzMGwYHD9uLlEgIs5v0yaziPPzM7fnqlcPZs6Ehg01tCvLbCkMXDKE+Rs/Zl4JP5Y//R33VnrW6lQiWaIuVxcxfry5xtSaNXDvvVanEZE7ceWKORbus89g/Xr46it44QVzWTQVcVl3Jv4Mngc+o+CZX1lWYRRnEy/w9D1Pa4cHcUoq6FxEairUr2/Obtu4UetNiTibL780t/a7eBFat4ZeveDhhzVG9k4kXjnPl2vH8M7aKfQqW4ePqj0KFfuBuz4YxXmpy9VFeHrC1KlQt6656Xb79lYnEpFbSUoy/62WLWv+uy1UyJy53rMnhIVZnc45pdnSiNwWScWtr1A+NYUetfrzZpO3wTfI6mgid00tdC5m505zdXh1z4g4pgMHzF++Zs40lx95910YPtzqVE7OMODUH5zzKkS5aU3pV+5eejR6h5LFmlqdTCTbOGQLXUREBBEREaSlpVkdJdepUsX8c8kSaNHCXC1eRBzDrFnQqRMEBUGXLtC9O1SubHUq57b19FbGrRjG1x4rCanUnwN9D1DIr5DVsUSynVroXNCuXWZhN348vPaa1WlEXNf+/ebYuKAgcwHgs2dh8WJ48knw8bE6nXP7+8wm9kQ/x1P79lEkqBI/tplIxRIPqHtCci21z7ige+4xC7nBg83iTkRyTlISzJ5ttpBXrGjOVL3WGREaCs89p2LurhgGX276kqYzGlHh6gG+ajaIHa/soGLJlirmJFdTC52LunIF6tQxZ8itWwe+WjdTxK4SEyFvXti8GWrXhiZNzAkOTzyhAi47pKSlEHv4OwoemcrK8h+w6OhyBjUYgL9PfqujieQIFXQubOdOczHSt96Cd96xOo1I7pOYCHPnmq1wly+bxZybGxw6BOXKWZ0udzBsNn7Z9Q2vR42kgb8fkZVqQq1PII+2yBDX4pCTIiRnVKliTo6oXdvqJCK5y6VL5pi47783t9xr3hwGDvxnAWAVc9ljzfE1nF3ejuCUM5QLasXAB8ZCoapWxxKxhFroBICtW81u14oVrU4i4pzOn4eVK+Hxx80FvBs2NBcA7tpVBVy2izvIlbRUik9txKMFguhXuxu1aw22OpWIpVTQCYZhttIlJZlbg+lbLZI5aWmwaJHZpfrTT+YC3qdP69+QvZxPPM9Hf45i9NV5eBR5kD1lXqNCwQp4uGu7DBHNchXc3OC77+DECXOGnZb/E7m9lBSzRfvhh2HvXhgzBv76S8WcPVy5eonlvz1Cvcll+GLzl6wrOxhqfUrlkMoq5kT+SwWdAFCpkrmUwm+/mSvTi0hGsbFmS9wjj8DVq+Z+yIMHw/r1sH27uRRQSIjVKXOfxYcWU//zKlS98BtvV2jMoX6HaFi1J3hqar7Iv6mgk3QPPWS2Mkyfbg7qFhH44w/o2NHcS/WllyA52VwAGMz7detqeTN7iD+zEqLaEJTHl7Ci9bn04Ca6Pf47IflUNYvciMbQSQaGAWfOQOHCVicRsc6/9zxu2BBiYsytuDp2hOLFrU6Xu+0+vZVBy97GLe4QP5cNxa3hN5CvlNWxRByeWugkAzc3s5iLi4O2bc1JEiKu4PRp+OQTqFEDqlb952f/11/NAu+NN1TM2dOpuFPM+aE+V36ryYHze+l63wfwQLSKOZFMUkEnN+TpaXa7Pvoo7NljdRoR++rRwyzWhgyB8uVhwQKzKxWgQAF1qdpVSjy2hGPcN+M+pp3YQ3yxdux8ZQdPhT+Fm77xIpnmkF2uERERREREkJaWxv79+9XlapFLl8ztiS5dguXLzf/oRJydzQarVsHXX8Pbb0Pp0ua40dRUePpps4AT+0u1pTJ983S6np+Bt28o68q9TcXgiuTXVl0id8QhC7prNIbOeqdOmZuIX74Mu3ZBUJDViUTuzI4dMGuWOZv7r7/MQm7GDGjWzOpkrsWw2Vi/4X0Gb/qeqHMHmX//EB6v2VNdqyJ3SVt/yS0VKQLR0TB/voo5cT4HDphjQv39zfFxCxZA+/bm5IbGjcFdg05y1O5zu3n9155Euq/kWf9yfNxuE7WK1LI6lkiuoI8zua3QUOjZ0/x65kzYssXSOCK3dOIEfPwx1KkDFSrA3Lnm42PHmhMfPv/cHEqgYi7npCYcg/Uv45GawMmrseysHUn35/armBPJRupylUxLTTVbNfbtMxcgbtDA6kQiGb35plm45clj7uDw7LPmxB5frUFriUuJF/lw5Si2Hv6FRUWScWs8GyOojiY7iNiBfkeVTPP0NBdZrVrVHFf3f/9ndSJxZZcuQWSkWbgtXmw+1rKluZvDmTMwb57ZvapiLuclpSaxYMmLHPxPKF9u/Iz7Kj9L0kPboWBdFXMidqIxdJIlgYHmZuQvvmjOCPz+e+jQwepU4kp+/hk++wyWLDH3HW7U6J/u0wcesDabyzMMSL7II/95hvMnlzGxXCX2vfIThQpoiryIvamgkyzz8TFnC9arBw8+aHUaye3OnoUffzTHvVWqZK6LePUqfPoptGsHRYtanVAA/vzrT2ocnYh/8ineve8DQvwmEh4SbnUsEZehMXRy106cgM6dzVaTSpWsTiO5walTZpfpDz/AihXmY59/Dt27m41A6rVzHIf/+p1Rq8czbf9iIuo+R6/a3aBQc6tjibgcjaGTu5aQYP4HXLeuucaXyJ3YuxcuXDC//ugjeO018PaGL74wZ6d2724eUzHnGM4lnKP3Ly/jFvUwTRLWMOuJWbz80Ncq5kQsohY6yRbx8ebSJt99B716wbhxGowut2azwdq18NNP5m3fPpgwAfr1Mwu4PHm09qEjMlIScNs/iWMhD1Lv64cZXacTHRq8g493fqujibg0FXSSbQwDpk41NzFfuxYqV7Y6kTiaK1fMCQze3uYvAFOnQkgItGkDjz1mTmrIm9fqlHIjabY0vt72NXM2R/Bb4F+43TuV5KKPkMcjj9XRRAQVdGIHMTHmbNirV80FXl97DfLlszqVWOXYMfj9d3PtwiVLzGVFnnkGtm0zW3br1wcPD6tTyq2s2TaZlK1v0eqvOB4Lf4ZJLUcTElja6lgi8i8OWdBFREQQERFBWloa+/fvV0HnpFauNNcFK1oUJk0y1wuT3C8lxWyF8/CAHj3gyy/Nrxs2/Gex31LattM5pCXRe+EAFm37jP+UDMSt/tfUDGtrdSoRuQGHLOiuUQud8ztwAF5+GZYtg9atYfx4zYTNjf7+GxYuNFvhFi82x8Q1b25+ffmyWdjnz291SsmsE7En8D0wiYLnlrKswmjikhNoW7GtFgUWcWCa5Sp2Vb682c02f75Z3O3bZz7uuL9GSGbEx//zd/jcc1C8uNkad/q0uf1W2bLmsZYtzd0aVMw5h9j4E4xZ1JcKkyow/vAWKPsiLUo347FKj6mYE3FwaqGTHJOcDF5e5rIT7dtDWBgMGGAOihfHlpwM69bB0qXmbe1a2LIFqlQxt4BLSzMXmdasVOeUkpbC1E1TqbPrNc6m2lhXbghvNHqDAG997oo4CxV0kuPS0uDtt2HyZPN+r17w+utQqJC1ueQfNpvZmnptpvI998Du3WZLW/Pm5mzU9u1VjDs9w4ATP3LGuxTlpzdjUMWmvNToPYoUqmt1MhHJIhV0Ypnz580xdZMmmctY/P23ufaY5Ly0NLMFbuVK+PNPWLUKLl0yu1ALFTLHxoWGQs2ampGaW6w9sZZP/xzBd17rcL/nLS6U6kLBvAWtjiXi8rZt28a4ceM4cuQIgwcPplGjRgwbNoykpCROnz7N0KFDqVGjxnXPU0Enlrt4ETZuNLvsYmLgySfhxRfNfTq1OLF9XL4Ma9aYS4r07AmpqVCggNlg06ABNG5s7p3aqJGK7Nzm6MmVHIruzOMHjlA2tBpzH51EWPEmVscSkf968cUXmTp1KqNHj2bixIk0adKECRMmsH//flq1akXPnj2ZNGnSdc/ztCCrSAZBQWYxB3DunFlUPPccBATA009D165mYSF35+RJeP99syVuxw7z+1yqlLmllqcnbNpkTmbw1KdC7mQYTFo/mfFLB7CkuMGslkN55N538XBXk6uIozh06BBFixbF09OTkydPcvHiRd566y2KFSvGmjVr8PPzo02bNjd8rlroxCEdPAjffANff22O4/rtN3Ng/vLl5hgutRrdmM0G+/fDhg1mq+eGDVCunPm9vHQJmjY199xt3Bjuu888psmLudvV1KvEH4wk+K8Z/FnhQ/48sZbX7u1H3jx+VkcTkf+xevVqfH19qVmzJtWqVSMoKIioqKhMPVcFnTg0m83skg0ONteyu/9+cxeKli3NgfkPPGAWJa7o0iWzpW3nTqhRw1y495tvoHNn83j58mbx1rKl2coprsVmS2Xe1mkMXDGaBwqEMC38XqgxCrz8rY4mIrdx/vx5QkNDee+993j//fcz9Rx1rohDc3c3izkwW+a2boUff4RFi6B3b6hVC9avNwu/zz6D2rXN4iY3jb27eNFcwy88HPz94cMPISLC7EIFs4t0xAizoHvwQXMx39q1zTFx4pqWH1lOwoqnKJR6kVqFH+eNlh9BwQpWxxKRTFq+fDmGYdCsWbNMP0ctdOK0YmPNoqZSJTh6FCpWNLtlPTzM9dHq1IEpU8y172JizDF5jti9eOUKHD9uzvpt2NB8rHdvc0zbgQNmQQfm+m8tWsCcOeY+qFWqQNWqUKGCuqDlv2J2E59mUOLLxjwVUpS+dXtTrWovq1OJSBb16tWLr776isuXL+Pj45Op56igk1wjOdnsfrw2fuz4cXM7KjC7H0+ehNKloUwZ889XXzUfP3TInPUZEmLefHzurvAzDPP5ly//U6idP29O+ChTBh56yCzUnnnGnGV64YL5PF9fSEgwn/vSS+bM0/Ll/7lVqpS7Wh4l+5yKO8WHK0bwafIveBRvy4GyrxIWFKbdHUScVOXKlSlUqFCmx8+BBV2uhmEQFxd3w2NJSUkkJSWl3792XmxsbI5kE+cXFmbenn3WvH/tR2fECDhyBP76y2zNW7rUPKdQIRg3Dj7/POPrvPwyfPSRuZhux45mkefjY7b2+fvDvHnmec88Y05CSEw0bwkJZgvaAw+Yzx89+p/X9PCATp3MGbuenmbX8COPmNtmFStm3mJjzYLuk0+uf28pKeZN5Jr4xLNsin6Rl/ds4Iq7L+1af0CdsPYU8vC+6eesiOQsf3//LP1ydfr0afbu3cszzzyTpevkeAvdtVY3ERERkdwuq72M27Zto1WrVixbtozw8PBMPy/HC7qstNCdOnWKevXqsXv3booVK5Yj+erWrcuGDRty3bVy+no5ea3Y2FhKlCjB8ePHc6RrXn9vzne9nP4ZAfu8N8MwiD21nMCDEWwuO5Apm7/ivcaDeKLVc7ny7y2nr6XPEue8Vk5e705+RrLaQnencrzL1c3NLcv/UPz9/XPsQ9jDwyNXXiunr5fT7w0gICAgR66pvzfnvV5O/YxA9r+3zcdXM3DZO/gnneLHcsVoVroKzcL/Y5dr3U5u/pkEfZY427WsuF5OfpZklpYt+R+9e/fOldfK6evl9HvLSfp7c97r5aTsem9/Xf6LdYseo2z8Ns5erczrD4yD8g9nmLmTm//e9DPinNfLze/NUTn0LNcTJ06kN20WL17c6jjioDQbWm7HKX9Gki+TlnSZctObEe4ex5B7HqZB02l4enpbnSzXcsqfE8lRjvwz4tAtdN7e3hn+FLkRb29vhg4dqp8TuSln+hlJTktmyoYpvHIxkjx+pfnh6R+oFFwJP23VZXfO9HMi1nDknxGHbqFz5EpYRCQ7GTYba9a8zutb5rH+4gkWPPguj1TvCb5FrI4mIk7AoVvoRERcwbbT2+j/SzfmeG+ia1A4057ezj2h91gdS0SciLvVAUREXFVy7AFY+wJ5bEnEG+7sq/cDPTvuUjEnIlmmLlcRkRx2Nv4Mw6KHs//4EhYVA7fG/8HIX11bdYnIHVOXq4hIDklMSeSPZd0ocXIOs8/4Mfi+d0i5ty95PH1QKScid0MFnYiIvdnSIPkCD373BEnn1vFxWDX2P/kTBQNKWp1MRHIJjaETp/T+++/j5uaW4Va4cGGrY4nFVqxYQZs2bShatChubm78+OOPGY4bhsH7779P0aJF8fX1pVmzZuzatcuumRYfWkx8dDtY2Z5R949idve9NHlyi4o5i9zuZ6Rr167XfbbUr1/fmrBiiVGjRlG3bl38/f0JDQ3l8ccfZ9++fRnOseKz5HZU0InTuueeezh16lT6bceOHVZHEoslJCRQvXp1Jk+efMPjY8aM4ZNPPmHy5Mls2LCBwoUL07Jly5vuL3039h/8gc7fNuXBbx/k++RgqPER95W6j3JB5bL9WpJ5t/sZAWjdunWGz5bffvstBxOK1aKjo+nduzdr165l8eLFpKam8uCDD5KQkJB+Tk5+lmSa4YAmT55sVK5c2ahQoYIBGDExMVZHEgczdOhQo3r16lbHEAcGGPPnz0+/b7PZjMKFCxujR49Of+zq1atGYGCg8fnnn2fbdU/FnTK6ze9i/DUTY8a0/Ma83fMMm82Wba8v2ed/f0YMwzC6dOliPPbYY5bkEcd09uxZAzCio6MNw8i5z5KscsgWut69e7N79242bNhgdRRxYAcOHKBo0aKUKVOGDh06cPjwYasjiQM7cuQIp0+f5sEHH0x/zNvbm6ZNm7J69eq7fn0jORa2v8/VhL9ZeHgJK8u9w3Od/6Zd5XaavepkoqKiCA0NpUKFCnTv3p2zZ89aHUksFBMTA0BQUBBg/8+SO6VJEeKU7r33Xr7++msqVKjAmTNn+OCDD2jYsCG7du2iYMGCVscTB3T69GkAChUqlOHxQoUK8ddff93x66akpTB101QWbJvGwqCTlC5YlyOvHsHLw+uu8oo1HnroIdq3b0+pUqU4cuQI7777Li1atGDTpk0Oud2T2JdhGAwYMIDGjRtTpUoVwH6fJXdLBZ04pYceeij966pVq9KgQQPKlStHZGQkAwYMsDCZOLr/bS0zDOOOWtAMw2DFpo9w3zWCgX8l8ky1Llx64BeC/IqhUs55PfPMM+lfV6lShTp16lCqVCl+/fVXnnjiCQuTiRX69OnD9u3bWbly5XXHsuuzJLs4ZJerSFbly5ePqlWrcuDAAaujiIO6Ngv62m/X15w9e/a637RvK/UK3RZ0o8eiIXh7+rKhyx/MfHwmQX7FsiuuOIgiRYpQqlQpfba4oL59+7JgwQKWL19O8eLF0x/P1s+SbKSCTnKFpKQk9uzZQ5Ei2shcbqxMmTIULlyYxYsXpz+WnJxMdHQ0DRs2zNRrHL50mIvrX4Ml99GpakcmPP07dTueo0qpB2/7XHFOFy5c4Pjx4/pscSGGYdCnTx/mzZvHsmXLKFOmTIbj2fFZYg/qchWnNHDgQNq0aUPJkiU5e/YsH3zwAbGxsXTp0sXqaGKh+Ph4Dh48mH7/yJEjbN26laCgIEqWLMlrr73Ghx9+SPny5SlfvjwffvghefPmpWPHjrd83UuXDzJp9Wg+2PQ1b4ffz9AavWlRpgW46XdiZ3Orn5GgoCDef/99nnzySYoUKcLRo0d56623CA4Opl27dhamlpzUu3dvvvvuO3766Sf8/f3TW+ICAwPx9fXFzc3tjj9L7Mqy+bWZEBMTo2VL5IaeeeYZo0iRIoaXl5dRtGhR44knnjB27dpldSyx2PLlyw3guluXLl0MwzCXGxg6dKhRuHBhw9vb22jSpImxY8eOm77elZQrxtiVY4xNMzyMeVM9jA+iPzASkhNy6N2IPdzqZyQxMdF48MEHjZCQEMPLy8soWbKk0aVLF+PYsWNWx5YcdKOfD8CYMWNG+jlZ/SzJCW6GYRg5XkVmUmxsLIGBgcTExBAQEGB1HBFxFYYN/prN6XyVqDi9OW9VfpAXGw8lpGAVq5OJiNyQulxFRP4l6mgUk1eNZI73ZgpXG85fr/1Ffp/8VscSEbklFXQiIsCBY4s4vvJFHjv4N+FF63Gsxe+ULlKP/FYHExHJBI3oFRHXZtgYu2osLb9tTfHUs/zfQx+xtttaShepZ3UyEZFMUwudiLikhOQEEg9MJ+T4t9SrOArP5h9Tqs4rVPDysTqaiEiWOWRBFxERQUREBGlpaVZHEZFcJi01idmbIxj05zgeCy3BlCpNaVqiAU3L3G91NBGRO6ZZriLiEgzD4PeDv+O+6lm8U2OZFtSRkS1GUjp/aaujiYjcNYdsoRMRyVYXNxOHFx3nduS5ouXo3fg1ZlXqbHUqEZFso4JORHKtYzHHGBU9gsmpvxJQ+lm29NxC6fylLd1AW0TEHlTQiUiucznuGJuWdqDT7k0YeQrQvc14apVvTxl3feSJSO6kZUtEJFeZt2ceDb6oQZW4NXxU6ykO9D1ArYrPgoo5EcnFVNCJiNMzDINLx36BZS0pni+YxhWeJK3NITq3noW/t7/V8URE7E6/soqIU1t7dBkDlr5DYVsMc8uXpV5IBeq1/dLqWCIiOUoFnYg4pQMXDrB1UVtKX9lLUmoN+jw4CbcyLayOJSJiCRV0IuJcrp4jJTmW5pHNqZsnlYFVe7Lhvsm4a4yciLgwfQKKiFO4knKFiWsn0D9mFnnyh/Pzsz9TKbgSvl6+VkcTEbGcCjoRcWg2Wyqr/+zFa1t/ZVvsWWq2Gs6D1bpT0yfY6mgiIg5DBZ2IOKyNJzfS/+cXmJ93J90L1eL+56MJCwqzOpaIiMPRsiUi4nCSLu+GVc/hY6TilqcARxr+Ss8Om1TMiYjchEO20EVERBAREUFaWprVUUQkB/0dc5z3ot7n2Mk/WVQyD1Xy+bPihRVWxxIRcXhuhmEYVoe4mdjYWAIDA4mJiSEgIMDqOCJiJ3FJcfyxpBNlzv7Mw+cK8E7T93m5dk+8PPNYHU1ExCk4ZAudiLgIWwrG1fO0mNUWz8vbGVX+XvY/PZ/AfIWtTiYi4lRU0IlIjjMMg5/3/8z9JyLIRwrjW42nZGBJSgaWtDqaiIhT0qQIEclRu/dE8kxkfR6b/Rg/GGWg1ic0LtlYxZyIyF1QC52I5IgTsScYvGgAHyX+H62NYF587ndalWsFbm5WRxMRcXoq6ETEroykS7jtGUNykadY9fcG1tw7ki51BuKhCQ8iItlGBZ2I2MXV1KtErI9g4c6ZLAq+QNnC93Ow70E83D2sjiYikutoDJ2IZCubYWPJ2vfY/G0B3l3yBmFFGxPbehsUfkDFnIiInaiFTkSyT0o8nRb0YPO+75lZujDbuv1A+WKNrE4lIpLraWFhEblre87tofChiRS4vJHlFUbj7u5J09JNrY4lIuIy1OUqInfs3PkdvL2gE1WnVOXzU39DpQE0L9NCxZyISA5Tl6uIZFlCcgKfrP6Yx48Oo2aKB2NajqF33d7g6W11NBERl+SQBV1ERAQRERGkpaVZHUVE/s2WBkciifGvwSfrxuNXtSMvNBpG/sCyVicTEXFpGkMnIrdlGAYLDy5k6tqPmOe7A7eaY4gr/jT+3v5WRxMRERy0hU5EHMfuQz9xek1P2h8+Q+2STTjRZCklQmugUk5ExHFoUoSI3JgtjRHRI3hk9uMUtl1mQdvJRHWJokRoDauTiYjI/1ALnYhkEHM1hpQDUwn++z80qfgRIa2mUKFmN8I9vKyOJiIiN6EWOhEBIDk5numrPiBsUhjDt/8IRR6iaclGvFznZTxVzImIODS10Im4OMMwmLtnLvnXd6VUagKPVezG4ObDwb+o1dFERCSTVNCJuLJzq4lx96Pbgm50K1GVV5oMYlrZJ6xOJSIiWaSCTsQFHbx4kNHRw5hqLCF/2RfY+cpOSgSWsDqWiIjcIRV0Ii7kwuUDbF3agQ57t+GTtwg720RQrdzjlHDTcFoREWemT3ERFzF752zqT61F5YQtTLj3Bfb32U+1sCdAxZyIiNOz6yf5yJEjadiwIXnz5iV//vz2vJSI3IDNsHHx6FxY0pzS/kVoXaUrXu2O0/GBL/H18rU6noiIZBO7drkmJyfTvn17GjRowPTp0+15KRH5H1EHfmbAsqGEeaTwn4qVqF8onPqlJlkdS0RE7MCuBd2wYcMAmDlzZqbOT0pKIikpKf1+bGysPWKJ5Go7z+5k7+K2lEw6gq9nfV5tOQm3ko2sjiUiInbkUINnRo0aRWBgYPqtRAnNuhPJtMSTJMce4IGvH+A/McmkVRrAyhdW0UjFnIhIrudQs1yHDBnCgAED0u/HxsaqqBO5jbikOD5Z/TFvxf+HPAVr80enP6gcUpk8HnmsjiYiIjkkyy1077//Pm5ubre8bdy48Y7CeHt7ExAQkOEmIjeWmnqVFUs60SCiLKNWjWZlse5QZzLVC1dXMSci4mKy3ELXp08fOnTocMtzSpcufad5RCQTVh9fzes/v8Av/vvpV6IhrR/8npKBJa2OJSIiFslyQRccHExwcLA9sojIbVy5sAXfPaPwLzMAf/9S/N10Kj1KNrU6loiIWMyuY+iOHTvGxYsXOXbsGGlpaWzduhWAsLAw/Pz87HlpkVzl6KVDvLXsXS6c28jCUv5U9S/AoucXWR1LREQchF0Luvfee4/IyMj0+zVr1gRg+fLlNGvWzJ6XFskVLl25xJLFz1D2whL+vFiIoc1HYKveFQ8Ph5rPJCIiFnMzDMOwOsTNxMbGEhgYSExMjCZIiGtJS8K4ep4a3zxMQPx+RlRsQN0HfiCfb5DVyURExAHp13wRB2IYBnN2zaHNqS/I6+HJlEemULZAWQr7FbY6moiIODCHWlhYxJVt2z6JttNr0GFuB37yrAq1P6VhiYYq5kRE5LbUQidisSOXjvDGwn5MTPmFxz2LMLBLFE1La+aqiIhkngo6EYvYrp7Ffddo0op1ZNv5fWxoOJ4XavbB3V3/LEVEJGv0P4dIDktMSeSTNZ+wfM93LAmNJaz4Y+ztsxd3N42AEBGRO6OCTiSHpNnSWLz6TQIPTmL0cRs96vUloem7+PkU0GBWERG5Kw5Z0EVERBAREUFaWprVUUTunmFASixPze/KvsM/8mWZkuzsMY/ShWpbnUxERHIJrUMnYkfbTm+j1KFPyR+/m6gKo/H1ysu9xe+1OpaIiOQy6ukRsYNTZzbw+rynqPlFTaadj4V73qJZ6WYq5kRExC4csstVxFnFJsUy+s9RPH/iI+qlehPxcAQv1XoJPLysjiYiIrmYCjqR7GBLgYNTicvfgC82T6VY9W50bvQ+/n7FrE4mIiIuQAWdyF0wDIP5e+czY93HLPDbS7Han3K8/3HyeuW1OpqIiLgQFXQid2jbvu+5tL4vzx+5wH1lW3Gq+Z8ULRiOSjkREclpKuhEssqWytvLh/Ld2g9ZUDIvfzw5g8b3dLU6lYiIuDAVdCKZdD7xPMb+KYSc+pEHKn5EhYIVCK/WCQ93D6ujiYiIi1NBJ3IbV5Mu89Xacby1ZjIvlqzGJ9WfonmpJuCRx+poIiIigAo6kZuyGTa+2/EdxTd1p1xaEp2q9WJw0/cgX6jV0URERDJQQSdyI6eXcdmzIL1+7cUrZe7l5YZDmFyyldWpREREbkgFnci/7Dq7izErhjHDLZqgCr3Y12cfRfyLWB1LRETklhyyoIuIiCAiIoK0tDSro4iLOHN+JzuWd+DpfbsJCijL3jZfEV76YYq4uVkdTURE5LbcDMMwrA5xM7GxsQQGBhITE0NAQIDVcSQ3MgxmbotkxB+9iCqSxNqSfXjsvrHk0YQHERFxIu5WBxCxQqotlQuHZsGSJlTIX5qnavXF/6kztG82QcWciIg4HYfschWxF8Nm44+9cxiwfDg1fL2YVakaDYtWp2HpZlZHExERuWMq6MRlbDy5kWNLH6do8t8U9mvG6y3H4Va0ttWxRERE7poKOsn94o9yNS2Jh2Y9RMsAP16rOZSldd7DzV0jDkREJHdQQSe51qUrlxi78iOGJ/6AT6EmRHWJomJwRTzd9WMvIiK5i/5nk1wnOTme1cufp+eOKP5OTuGhR0ZzX3hX7vHyszqaiIiIXaigk1wl6mgUr//clT/y/8Wgsi149MFZFPYrbHUsERERu9IgIskVEs6ugxXtyO+Zh2LB1Tj/wDpeemKpijkREXEJaqETp7bv7E7eXPYOSZf38luZAtQILMSCZxdYHUtERCRHqaATp3Q24SzL/3iSsMsr2RZbgg9ajMKo+ixubmp0FhER16OCTpxLaiJG0kWazmxJ4aTjDK30MHs6zcYnj7/VyURERCyjgk6cQpotjW+2f0OHM9PwyRPAjMdmUD6oPAXzFrQ6moiIiOUcsqCLiIggIiKCtLQ0q6OIA9i0aRRDNn7N4tN78Ws+kKdqvkx9/3JWxxIREXEYboZhGFaHuJnY2FgCAwOJiYkhICDA6jiSw/Zf2M/A33vxpW0pCyhJtRZzuLf4vVbHEhERcTgaQS4OJy3xJGzojVtyLIdjT7O1+he81OmIijkREZGbcMguV3FNsVdjGLN6LGv2z2VJkSuUL92JHa/swM3NzepoIiIiDk0FnVguJS2FRX++SsiRL5l40oO+9V/nyn2DyZvHH5VyIiIit6eCTqxjGJB8icd+6MTxY7/zWbkw9rz8I8UK3mN1MhEREaeiSRFiibUn1lL5yEQCE48QXWEU+X0LUL1wdatjiYiIOCVNipAc9deJZfSa8wgNpjdgxuU0qPo+Tcs0UzEnIiJyF9TlKjni4pWLfBA1nFfOTKBRal7qtv2KztU7g7uH1dFEREScngo6sa+0q7A/goSgZny78zsq1+zDc42Gktc32OpkIiIiuYYKOrELm2Fj9s7ZfLthAr8GHKZE3RIc638MH08fq6OJiIjkOhpDJ9luw65prPwmiJfmP4d3vqKce2AtlHpaxZyIiIidqIVOsk9aMgOWDOanTeOZW8Kf6A7/oW6Fp61OJSIikuupoJO7diruFF4HPiP4zG+0qfgR9YvXp3p4e+3wICIikkMcsss1IiKC8PBw6tata3UUuYX4xNN8snQA5SeVZ9yBVVDmeZqXbsrT9zytYk5ERCQHaWFhybJUWypfbfmKe7b3JSY1heWlXuet+96igG8Bq6OJiIi4JHW5SuYZBpz8nUt5ijBw0UBeLd+Mng3f5eGija1OJiIi4tJU0EmmbD61mXErhvGt52pCKr3OoX6HCMkXYnUsERERQQWd3MaJ0xvYF92RJ/YfpFhQZQ60+Z6KJe4nRGPkREREHIZDTooQB2AYfLHxC5rMaEy5pCPMbD6Y7a9sp2LJB0DFnIiIiENRQScZJKclc37/V7C4EVWCK9K5wRCCn7lAu8aj8HRXg66IiIgj0v/QAoBhs7Fgx0wGRI+kcUAgkZVr06hoTRqVbmZ1NBEREbkNFXTCqmOrOB/1BCEpZ6kU/BBvPDAWQu+xOpaIOJDk5GRSU1OtjiHicDw9PcmTJ4/VMVTQubTY/Vyx2Wg7uy1tCgTzat03+LXG61anEhEHk5yczK5du7DZbFZHEXE47u7u3HPPPZYXdXYr6I4ePcqIESNYtmwZp0+fpmjRonTq1Im3337b8jft6s4lnGPUig8Ym/QTvkVbs/rF1ZQvWB53Nw2pFJHrpaamYrPZKF26NL6+vlbHEXEYV65c4ejRo6Smplpe29itoNu7dy82m40vvviCsLAwdu7cSffu3UlISGDcuHH2uqzcQuLVC6xd+hzddq7kkuFJ+0fH0qDy81T08LE6mog4AV9fX/LmzWt1DBGHExMTw9WrV/H29iZfvnyWZMjRrb/Gjh3LlClTOHz48A2PJyUlkZSUlH4/NjaWEiVKaOuvbLDo0CIG/tyVpQVP8XPgwzz2wNcUzFvQ6lgi4gQSExPZs2cPlStXVkEn8i/X/m1s3ryZhIQEAgICeOaZZywp6nK0jy0mJoagoKCbHh81ahSBgYHptxIlSuRgulzq4maIepQQbz8qFWtMXKttvNj2VxVzIiIi2SRfvnzkyZOH2NjYDA1TOSnHCrpDhw4xadIkXn755ZueM2TIEGJiYtJvx48fz6l4uU/af3+gvAIgNYGaBYoxp/0cyoZWszaXiIhILuPt7Y23t7elGbJc0L3//vu4ubnd8rZx48YMzzl58iStW7emffv2vPTSSzd9bW9vbwICAjLc5A7sGQeLGoAtDfzD4IHlkK+U1alERETETrI8KaJPnz506NDhlueULl06/euTJ0/SvHlzGjRowNSpU7McUDIpJQ6SL0O+EhByH7j7ADk2PFJEREQslOWCLjg4mODg4Eyd+/fff9O8eXNq167NjBkzcHfXshh2E/UI5MkPTRdA8L3mTURERFyC3ZYtOXnyJM2aNaNkyZKMGzeOc+fOpR8rXLiwvS7rOgwD/l4AQbUhb3Go9TH46PsqIiLiiuxW0C1atIiDBw9y8OBBihcvnuFYDq6UknulJsC67hD+BlQeCAXrWp1IRERELGK3PtCuXbtiGMYNb3KHEv82i7iUWPDyg4e2QCVt1SUiYk/NmjXjtddeszrGTeVkvj179uTIdSTrNKjNGaQXwQaciYLY/ebdvMXAzc2qVCIi4kI+/fRTy5fmOHfu3G13mzp58mQOpXEsKugc3fH5/12CJMUcK9dmHxSsY3UqEZFcJTk52eoIlmnWrBnz5s275TmLFi0iJCSEsmXL5lCqGwsJCaFJkyZERETc9JyoqCh69OjB8uXLM/26GzZs4LXXXiMyMpIePXpw5MiR7Iibo1TQOSLDBlfPm1/7lYMCNSHtqnnfTX9lIuK8SpcuzaeffprhsRo1avD+++8DZnHRp08f+vTpQ/78+SlYsCDvvPNOhuE6mTnHMAzGjBlD2bJl8fX1pXr16vzwww/XvcaAAQMIDg6mZcuWt8ydmpp60+slJSXRr18/QkND8fHxoXHjxmzYsCFL7/tapn79+vHGG28QFBRE4cKFMxwHSEhIoHPnzvj5+VGkSBE+/vjjW+a+nR9//BEPDw8GDx5MSkrKTc+bOHHibZcsyyn16tVj/fr1nD9//obHO3bsyGeffcbx48d56aWX+P3332/5eklJSbRv354hQ4bQpUsXXnjhBV544QV7RLcrVQeOaF03WPGY2dVaoBrUmwJe/lanEhHJ4FTcKa6mmr9sHrl0hM2nNme4nYo7dUevGxkZiaenJ+vWrWPixImMHz+eadOmZemcd955hxkzZjBlyhR27dpF//796dSpE9HR0de9xqpVq/jiiy/uONMbb7zB3LlziYyMZPPmzYSFhdGqVSsuXrx4R+89X758rFu3jjFjxjB8+HAWL16cfnzQoEEsX76c+fPns2jRIqKioti0aVP68ZkzZ+KWyaE4qampbNq0iTlz5nD27Nmbfg+2b99O8eLF8fDwyPL7sZe2bdsyc+bMmx739PSkc+fOTJ06ldjYWF588UXmz59/w3H8K1asICAggEKFCgFmwbh27VrOnDljr/j2YTiwmJgYAzBiYmKsjmJ/l3cbRvxR8+uzqw3jTLS1eURE/ishIcHYuHGjkZCQkOHxocuHGgcuHDAMwzCem/ucwftkuA1dPvS61ypVqpQxfvz4DI9Vr17dGDrUPLdp06ZG5cqVDZvNln78zTffNCpXrpx+/3bnxMfHGz4+Psbq1aszXKdbt27Gs88+m/4aNWrUyNT7v9X14uPjDS8vL2PWrFnpx5KTk42iRYsaY8aMyfT7vnadxo0bZzinbt26xptvvmkYhmHExcUZefLkMWbPnp1+/MKFC4avr6/x6quvGoZhGPPmzTMqVqyYqfc1bdo048AB8+9v9OjRRkhIyA3/v/3kk0+MadOmpd9PTU01Jk+ebHTq1MlYv369YRiG0bFjRyMyMjJT172V1NRUY9KkSUaXLl3SX/v48eNG06ZNM5x37tw5o3nz5pl+XZvNZvz444/Gc889ZyxZsiTDsalTp173+sHBwcbSpUtv+7rX/m388MMPxrRp04zx48cbFy5cyHSu7KQWOkdgS4Ooh2H3R+b9kAYQ2sTaTCIit9Gzdk+KB5jLUo1oPoJNPTZluPWs3fOOXrd+/foZWpkaNGjAgQMHSEtLy9Q5u3fv5urVq7Rs2RI/P7/029dff82hQ4fSn1OnTubHI9/segcPHiQlJYVGjRqlH/Py8qJevXp3NCO0WrWM+20XKVKEs2fPAuae6MnJyTRo0CD9eFBQEBUrVky/365dO/bu3Xvb68THx3Pu3DnCwsIAePXVV8mbNy8fffTRdeeeOHGC0NDQ9Ps//fQTzzzzDImJiRw9ehSANm3aEBsbm/k3ehMLFiygQ4cOXLlyJX0c2+LFi69b/iw4ODjD3+XtnD9/ns2bN1OwYEHKlClz3TEfH58Mj/n4+HD58uU7exMWsds6dHcjIiKCiIiIDP94c53UBNg3Acr1AJ9gaPqLue+qiIiTKOJfJP3rMgXKUIYytzjb5O7ufl23163Gbt0Jm80GwK+//kqxYsUyHPv3LM18+fJl2zX/t5vTMIwMj2X2fXt5eV33utfez/8+/258+eWXdO/ePf2+j48PI0eOpEePHvTq1SvD9y0+Ph5fX9/0+y1atMBms/Hnn3/y7bffAlCuXLkbTpiYMGHCLScYNG3alHbt2qXfv//++wFYtmwZX331FWBOcrjRGMfMdC2fPHmSSZMmkZKSQt++fSlV6vp9zQMDA6/73sbHx2d6VyxH4ZAFXe/evenduzexsbEEBgZaHcc+UhNh76cQeA8Ufwzy32N1IhERuwsJCeHUqX/G1sXGxl73H/7atWuvu1++fPkMY7hudU54eDje3t4cO3aMpk2bZkvum10vLCyMPHnysHLlSjp27AiYhdrGjRszrA2Xmfd9O2FhYXh5ebF27VpKliwJwKVLl9i/f3+W3ufp06fx8fGhYMGCGR7v2LEj48eP57333mP69OnpjwcHB3Pp0qX0+/nz5+ebb76hWbNm6YXejh076Nq163XXevXVV7PyFgkICGD27Nk0adIkveCOjo7mww8/5PLly+TPnz/9XE/Pm5cwR48eJSIigjx58tCvXz+KFCly03MrVarEl19+mX4/KSmJuLi4GxZ/jkxdrjnpwgZY/hCkXgGfEHjsqFnMiYi4iBYtWvDNN9/w559/snPnTrp06XLdYPvjx48zYMAA9u3bx/fff8+kSZOuKwxudY6/vz8DBw6kf//+REZGcujQIbZs2UJERASRkZF3lPtm18uXLx+vvPIKgwYNYuHChezevZvu3buTmJhIt27dsvS+b8fPz49u3boxaNAgli5dys6dO+natWuGfdLnz59PpUqVbvk6U6ZMoW3btpw/fz7D7cKFCwwePJjIyEh27tyZfn7lypU5duxYhtc4c+ZMhqLSz88v2/ZrP378eHpX8M6dO/Hy8iI0NDTDLOWUlBT8/W88WXDcuHF8/fXXDB48mJEjR96ymANo0qQJZ8+e5cSJE4BZQNatW9fpCjqHbKHLddKugocP5CkARiokXwDP4uCZ1+pkIiI5asiQIRw+fJhHH32UwMBARowYcV1LVefOnbly5Qr16tXDw8ODvn370qNHjyydM2LECEJDQxk1ahSHDx8mf/781KpVi7feeuuOct/qeqNHj8Zms/H8888TFxdHnTp1+OOPPyhQoECW3ndmjB07lvj4eNq2bYu/vz+vv/46MTEx6cdjYmLYt2/fTZ+/f/9+Ro4cyfDhw295nbfeeosFCxYA0Lp1a7p3787rr/+zM1GHDh0YMGAA33zzDampqXTp0iXL7+VmnnzySd58803mzJkDQO3atZk8eXKGFsANGzbQokWLGz5/4MCBWbqep6cnkZGRjBw5kvr16xMdHc2sWbPuOL9V3Izs7JTPZte6XGNiYggICLA6zp3ZNRqO/R+03qA15ETEKSUmJrJnzx4qV65M3rz2/UW0WbNm1KhR47o127J6jmSvHj16MHz4cAoXLmx1FMBclqZt27bUq1fP0hzX/m0cPXqUy5cvExcXR+fOnQkKCsrxLGqhs4fkGHO/1XwloFBzyJPfXFNOu3SJiIgTeu+995g8eTIffPCB1VGIjY3l3LlzNy3mxo8ff8sZsM2bN+fJJ5+0VzzLqKCzh6iHwKcQNJkPwfeaNxERESdVvHhx2rVrx2+//cbDDz9sWQ7DMBg/fvwtC8v+/fvnYCLHoYIuOxgGHJ8HwfUhbzGoPQF8i93+eSIikkFUVFS2nCPZr3bt2lZH4MKFC7zyyiuEhIRYHcXhaFBXdkiNhw0vwzFzACcF60LeotZmEhERyWWCg4MzLHIs/1BBd6cSjsPaF82xcl7+8PB2qOSazbwiIiJiLRV0WXVtUrCbG5xbBXH/HXjpe+t1bkRERETsRQVdVhz7P/jjXrClQN7i8OgeCKppdSoREbGjZs2aZdj1wdHkZL472Z9WcoYKutsxbHD1nPm1fwVz4kNaknlf68qJiIiL+PTTTzPshXsz586dY9y4cbc85+TJk9kVS/5LFcntrOkCfz5hdrUWqA51JoKXn9WpREQkGyUnJ1sdwTLNmjVj3rx5tzxn0aJFhISEULZs2du+XkhICE2aNCEiIuKm50RFRdGjRw+WL1+e6ZwbNmzgtddeIzIykh49etzRThu5mUMWdBEREYSHh1O3bl1rAlzeAQl/mV+X7wU1PjLHzImIyF0pXbr0dTs81KhRg/fffx8wi4s+ffrQp08f8ufPT8GCBXnnnXf496ZGmTnHMAzGjBlD2bJl8fX1pXr16hn2Ar32GgMGDCA4OJiWLVveMndqaupNr5eUlES/fv0IDQ3Fx8eHxo0bs2HDhiy972uZ+vXrxxtvvEFQUBCFCxfOcBwgISGBzp074+fnR5EiRfj4449vmft2fvzxRzw8PBg8eDApKSk3PW/ixIl06NAh069br1491q9fz/nz5294vGPHjnz22WccP36cl156id9///2Wr5eUlET79u0ZMmQIXbp04YUXXuCFF17IdB5X4JAFXe/evdm9e/d1/yByhC0VotvAnv/+IwlpACENcz6HiIiDO3UKrl41vz5yBDZvzng7derOXjcyMhJPT0/WrVvHxIkTGT9+PNOmTcvSOe+88w4zZsxgypQp7Nq1i/79+9OpUyeio6Ove41Vq1bxxRdf3HGmN954g7lz5xIZGcnmzZsJCwujVatWXLx48Y7ee758+Vi3bh1jxoxh+PDhLF68OP34oEGDWL58OfPnz2fRokVERUWxadOm9OMzZ87ELZMNEKmpqWzatIk5c+Zw9uzZm34Ptm/fTvHixfHw8MjSe2nbti0zZ8686XFPT086d+7M1KlTiY2N5cUXX2T+/PncaEfSFStWEBAQQKFChQCzYFy7di1nzpzJUqZczXBgMTExBmDExMTY90LJcYaxfZhhXD1v3r+82zBSk+x7TRERJ5GQkGBs3LjRSEhIyPD40KGGceCA+fVzzxmGOTbln9vQode/VqlSpYzx48dneKx69erG0P+e3LRpU6Ny5cqGzWZLP/7mm28alStXTr9/u3Pi4+MNHx8fY/Xq1Rmu061bN+PZZ59Nf40aNWpk6v3f6nrx8fGGl5eXMWvWrPRjycnJRtGiRY0xY8Zk+n1fu07jxo0znFO3bl3jzTffNAzDMOLi4ow8efIYs2fPTj9+4cIFw9fX13j11VcNwzCMefPmGRUrVszU+5o2bZpx4L9/gaNHjzZCQkJu+P/tJ598YkybNi39fmpqqjFp0iSjS5cuxvr16w3DMIzjx48bTZs2zfC8c+fOGc2bN89UFsMwDJvNZvz444/Gc889ZyxZsiTDsalTp173+sHBwcbSpUsz/fr2cO3fxg8//GBMmzbNGD9+vHHhwgVLsjhkC12OS7sCByLg3GrzfmBl8MhjbSYREQfXsycUL25+PWIEbNqU8daz5529bv369TO0MjVo0IADBw6QlpaWqXN2797N1atXadmyJX5+fum3r7/+OsMen3Xq1LnrTAcPHiQlJYVGjRqlH/Py8qJevXp3NCO0WrVqGe4XKVKEs2fPAnDo0CGSk5Np0KBB+vGgoCAqVqyYfr9du3bs3bv3tteJj4/n3LlzhIWFAfDqq6+SN29ePvroo+vOPXHiRIbFfBcsWECHDh24cuVK+ji2xYsXU/zaD8N/BQcH33JP1f91/vx5Nm/eTMGCBSlTpsx1x3x8fDI85uPjw+XLlzP9+rmd6279dX4dbH8Pmv4EPiHQ9ih4+lqdSkTEaRT51/KbZcqYt9txd3e/rkvtVmO37oTNZgPg119/pVixjNsw/nuWZr58+bLtmv/bzWkYRobHMvu+vby8rnvda+/nf59/N7788ku6d++eft/Hx4eRI0fSo0cPevXqleH7Fh8fj6/vP/8/3n///QAsW7aMr776CjAnOdxoHGJmun9PnjzJpEmTSElJoW/fvpQqVeq6cwIDA697//Hx8QQHB9/29V2F67XQpV4x/8xTwJzokHTBvK9iTkTE7kJCQjj1r8F1sbGx181WXLt27XX3y5cvn2EM163OCQ8Px9vbm2PHjhEWFpbhVqJEiTvKfbPrhYWFkSdPHlauXJl+LCUlhY0bN1K5cuUsve/bCQsLw8vLK0OWS5cusX///iy9zunTp/Hx8aFgwYIZHu/YsSOVK1fmvffey/B4cHAwly5dSr8fEBDAb7/9RpMmTdKL4ujoaB544IHrWsw8PW/ebnT06FEGDRpEREQE/fr1Y9y4cTcs5gAqVaqU3lIJ5iSJuLi4m57vilyroNv5ASxubK4tF1ABmi+EvMVu/zwREckWLVq04JtvvuHPP/9k586ddOnS5brB9sePH2fAgAHs27eP77//nkmTJvHqq69m+hx/f38GDhxI//79iYyM5NChQ2zZsoWIiAgiIyPvKPfNrpcvXz5eeeUVBg0axMKFC9m9ezfdu3cnMTGRbt26Zel9346fnx/dunVj0KBBLF26lJ07d9K1a1fc3f/5r3z+/PlUqlTplq8zZcoU2rZty/nz5zPcLly4wODBg4mMjGTnzp3p51euXJljx45d9/241l27c+dOvLy8CA0NzTCTOCUlBX9//xtmGDduHF9//TWDBw9m5MiRFCly692WmjRpwtmzZzlx4gRgFpB169ZVQfcvub/LNekipMZDvpJQuKW5RZdhgFYhERHJcUOGDOHw4cM8+uijBAYGMmLEiOtaqjp37syVK1eoV68eHh4e9O3blx49emTpnBEjRhAaGsqoUaM4fPgw+fPnp1atWrz11lt3lPtW1xs9ejQ2m43nn3+euLg46tSpwx9//EGBAgWy9L4zY+zYscTHx9O2bVv8/f15/fXXiYmJST8eExPDvn37bvr8/fv3M3LkSIYPH37L67z11lssWLAAgNatW9O9e3def/319ONPPvkkb775JnPmzAGgdu3aTJ48ma5du6afs2HDBlq0aHHD1x84cOBt3+u/eXp6EhkZyciRI6lfvz7R0dHMmjUrS6+R27kZ2dkpn81iY2MJDAwkJiaGgICAO3uRP+41t+m6b272hhMRcRGJiYns2bOHypUrkzdvXrteq1mzZtSoUeO6Nduyeo5krx49ejB8+HAKFy6c6ee88847tG3blnr16tkxmbWu/ds4evQoly9fJi4ujs6dOxMUFJTjWXJfC51hg7/mQGgTyFsU6kRA3jsbMyEiIiLw3nvvMXnyZD744INMnR8bG8u5c+duWsyNHz/+ljNgmzdvzpNPPnlHWV1V7ivoUuNhU1+o8h5U7AsFMz8tXURERK5XvHhx2rVrx2+//cbDDz98y3MNw2D8+PG3LP769++f3RFdXu4o6BL+MpcgqTMZvALg4Z3gW8jqVCIikkVRUVHZco5kv9q1a2fqvAsXLvDKK68QEhJi50Tyb849y9Ww/fcLd7iwAeIPm3dVzImIiFgiODg4w0LEkjMcsqCLiIggPDycunXr3vyko7PNCQ+2FMhXAh7ZBQWq51xIEREREQfhkAVd79692b17Nxs2bMh4wJYGV/67EW9gJXPigy3ZvJ/JzYhFREREchvnGkO3+jm4egoeiIYCNcybiIiI2N2mTZtISkoiX758VK+uHjFH45AtdNdJ+O8K1RVfhRpjrc0iIiLiYubPn094eDh16tRh/PjxVseRG3Dsgs6Wav65/zPzz5AGEJx7FygUEcntmjVrxmuvvWZ1jNty9Jw5mW/Hjh3UqlWLRYsW8fzzz1+3a8et7Nmzx47J5N8cu6Bz/2+PcPUR1uYQERHJpRITE0lISLjp8ZMnT1K8eHFSU1M5c+YMnp6ZG6316aef4u3tnalzz507x7hx4zJ1rtyYYxd017h7WZ1ARERyoeTkZKsjWOrXX3+lVq1ajB178+FMhmHg4eHBk08+Sdu2bbl8+fJtX3fRokWEhIRQtmzZTOUICQmhSZMmREREZDZ6pmzYsIHXXnuNyMhIevTocUf75zoL5yjoREQk10lKSqJfv36Ehobi4+ND48aNM6xu8PPPP5M/f35sNnPN0a1bt+Lm5sagQYPSz+nZsyfPPvssYBYeY8aMoWzZsvj6+lK9enV++OGHDNds1qwZffr0YcCAAQQHB9OyZcub5ktNTaVPnz7kz5+fggUL8s477/Dv7c9vl7906dLX7Tdbo0YN3n///Qx5+vXrxxtvvEFQUBCFCxfOcBwgISGBzp074+fnR5EiRfj4449v/Y3NgkceeYRnnnnmpsfPnj3L3r17Abhy5Qp79+6lefPmnDhxgoULF6bftm7dmuF5EydOpEOHDlnKUq9ePdavX8/58+ez/D5uJCkpifbt2zNkyBC6dOnCCy+8wAsvvJAtr+2IVNCJiIgl3njjDebOnUtkZCSbN28mLCyMVq1acfHiRQCaNGlCXFwcW7ZsASA6Oprg4GCio6PTXyMqKoqmTZsC5mbwM2bMYMqUKezatYv+/fvTqVOnDOcDREZG4unpyapVq/jiiy9umu/aeevWrWPixImMHz+eadOmZTp/ZkVGRpIvXz7WrVvHmDFjGD58OIsXL04/PmjQIJYvX878+fNZtGgRUVFRbNq0KcNrzJw5E7c7XL7rVs/btGkTrVq1YtWqVSxdupQJEybg5eVF8eLFad26dfqtRo0a6c/Zvn07xYsXx8PDI8tZ2rZty8yZM294bMKECQwfPpzTp09n6rVWrFhBQEAAhQqZmw3Uq1ePtWvXcubMmSzncgYq6ERE5M5cOQVpV82vE45DzO5/jl3eYR6/iYSEBKZMmcLYsWN56KGHCA8P58svv8TX15fp06cDEBgYSI0aNdK3+oqKiqJ///5s27aNuLg4Tp8+zf79+2nWrBkJCQl88sknfPXVV7Rq1YqyZcvStWtXOnXqdF3RFhYWxpgxY6hYsSKVKlW6acYSJUowfvx4KlasyHPPPUffvn3TZ3hmJn9mVatWjaFDh1K+fHk6d+5MnTp1WLp0KQDx8fFMnz6dcePG0bJlS6pWrUpkZCRpaWkZXiMwMJCKFSve8jqrV6+mX79+fPnllwwePJiVK1emH0tISCAyMpLIyEjatWuXPqbOzc2NypUr06hRIx599FF8fX1v+36WLl163cYAaWlpTJ48ma5du6a3Yp44cYJmzZplOK9p06b89ttvN3zdV199lZ49e/LFF1/wxhtvsG/fvlvmOHr0KEFBQen3PTw88Pf3Z9euXbd9D85IBZ2IiNyZA19A4gnz6z1jYdW/utiWP2Qev4lDhw6RkpJCo0aN0h/z8vKiXr16GWZGNmvWjKioKAzD4M8//+Sxxx6jSpUqrFy5kuXLl1OoUCEqVarE7t27uXr1Ki1btsTPzy/99vXXX3Po0KEM165Tp06m3l79+vUztF41aNCAAwcOkJaWlun8mVGtWrUM94sUKcLZs2cB8/uUnJxMgwYN0o8HBQVdV7y1a9cuvWv0Rk6dOsWTTz7JW2+9Rffu3fHx8cnQyrdu3Tq6dOlCly5dSEtL448//gCgefPmWXovYBZq/7v114IFC+jQoQNXrlxJH8e2ePFiihcvnuG84ODg6/6+/q1QoUIMHTqUd999l99++42+ffuyZs2aG557/vx5fHx8Mjzm4+OTqTGAzsi5FhYWERHHUb4n5Clgfl15EJR/+Z9jzX8H7+CbPvXaWLT/7e4zDCPDY82aNWP69Ols27YNd3d3wsPDadq0KdHR0Vy6dCm9u/XaOLtff/2VYsWKZXjN/51pmS9fvqy9zzvM7+7unmHMHUBKSsp1r+XllXHin5ubW/r7+d/n36m5c+dSsmRJChcuDHDdOL3atWunfx0UFERsbCxw/fcuM+Lj469rybv//vsBWLZsGV999RVgtrjeaAxjZrqO/f396d+/P8nJycyaNYuvvvqKLl260Lhx4/RzAgMDr/v+xcfHExx8859LZ6YWOhERuTO+RcDjvy0g+UpAYPg/x/JXNY/fRFhYGHny5MnQ7ZeSksLGjRupXLly+mPXxtF9+umnNG3aFDc3N5o2bUpUVFSG8XPh4eF4e3tz7NgxwsLCMtxKlChxR29v7dq1190vX748Hh4emcofEhLCqVP/dDvHxsZmeZZlWFgYXl5eGbJcunSJ/fv3Z+l1bDbbLYvDOxnvdjPBwcFcunQpw2MBAQH89ttvNGnSJL2gjo6O5oEHHriuxSyzy6KA+T39+++/8fPzu65VsFKlSuktnWBOkoiLi6NUqVJZfEfOQS10IiKS4/Lly8crr7zCoEGDCAoKomTJkowZM4bExES6deuWft61cXTffvstEyZMAMwir3379qSkpKSPwfL392fgwIH0798fm81G48aNiY2NZfXq1fj5+dGlS5csZzx+/DgDBgygZ8+ebN68mUmTJqXPMM1M/hYtWjBz5kzatGlDgQIFePfdd7NcOPn5+dGtWzcGDRpEwYIFKVSoEG+//Tbu7hnbY+bPn8+QIUNu2u3arl07RowYwbFjxyhZsiQAs2fPvu1M1LNnz7Jo0SLc3d3ZtGkTH3300W0LrsqVK3Ps2LHrHj9+/DhhYWEA7Ny5Ey8vL0JDQ4mMjOSll14CzKLY39//lq8PcOTIEaZOnYq7uzsvv/zyDYv2Jk2acPbsWU6cOEHx4sWJjo6mbt26KuhyUkREBBEREdcN+hQRkdxj9OjR2Gw2nn/+eeLi4qhTpw5//PEHBQoUyHBe8+bN2bx5c3rxVqBAAcLDwzl58mSG1rwRI0YQGhrKqFGjOHz4MPnz56dWrVq89dZbd5Svc+fOXLlyhXr16uHh4UHfvn0z7JJwu/xDhgzh8OHDPProowQGBjJixIg7Wgdt7NixxMfH07ZtW/z9/Xn99deJiYnJcE5MTMwtJwmUKFGCuXPn8s4779C4cWNsNhsPP/wwCxcu5JdffiElJYVffvmFuLg4Vq1axYkTJ6hUqRJHjx7l8uXL9OnTh7Vr17JkyRJat259y7ytW7eme/fuvP766xkef/LJJ3nzzTeZM2cOYHbzXpsocc2GDRto0aLFTV97y5YtREZGUrhwYd54443rflb+zdPTk8jISEaOHEn9+vWJjo5m1qxZt8zuzNyM7Oqgt4PY2FgCAwOJiYkhICDA6jgiIi4pMTGRPXv2ULlyZfLmzWt1HLHI008/zZgxYyhduvRtz+3RowfDhw9PH7OXWe+88w5t27alXr3rt/mcMGECPj4+dOnS5brJDla59m/jWuEbFxdH586dM8yuzSkaQyciIiK39Ouvv9K+fftMFXMA7733HpMnT87SNWJjYzl37twNizn4Z9kSRynmHI0KOhEREbmpDRs2UKhQIdq3b8/u3btv/wSgePHitGvX7qZryv0vwzAYP348H3zwwd1EdWkOOYZORERErLdmzRp69uxJaGgoycnJTJkyJdPP/fdSKLdz4cIFXnnlFUJCQu4kpqCCTkRERG6iQYMGbN++3e7Xya1rw+UkdbmKiIiIODkVdCIiIiJOTgWdiIiIiJNTQSciIiLi5Oxa0LVt25aSJUvi4+NDkSJFeP755zl58qQ9LykiIiLicuxa0DVv3pw5c+awb98+5s6dy6FDh3jqqafseUkRERERl2PXZUv69++f/nWpUqUYPHgwjz/+OCkpKXh5ednz0iIiIiIuI8fWobt48SKzZs2iYcOGNy3mkpKSSEpKSr8fGxubU/FEREREnJbdC7o333yTyZMnk5iYSP369fnll19ueu6oUaMYNmyYvSOJiMgduHLlitURRByKI/2bcDMMw8jKE95///3bFl0bNmygTp06AJw/f56LFy/y119/MWzYMAIDA/nll19wc3O77nk3aqErUaIEMTExBAQEZCWmiIhkk+TkZHbt2oXNZrM6iojDMQyDw4cPExcXR1xcHJ07dyYoKCjHc2S5oDt//jznz5+/5TmlS5fGx8fnusdPnDhBiRIlWL16NQ0aNLjttWJjYwkMDFRBJyJiseTkZFJTU4mJieGXX34hX758eHt7Wx1LxHJpaWmkpqZy5coVSwu6LHe5BgcH3/Gea9dqx3+3womIiOPLkycPefLk4erVqyQkJJCSkqKCTuRfrK5t7DaGbv369axfv57GjRtToEABDh8+zHvvvUe5cuUy1TonIiKOx9vbm4CAAGJjY0lOTrY6johDCQgIsOwXHbsVdL6+vsybN4+hQ4eSkJBAkSJFaN26NbNnz9ZvdSIiTipfvnw888wzlrdGiDgib29v8uXLZ8m1szyGLidpDJ2IiIjI7WkvVxEREREnp4JORERExMk5dJerYRjExcXh7+9/w3XrRERERMTBCzoRERERuT11uYqIiIg4ORV0IiIiIk5OBZ2IiIiIk1NBJyIiIuLkVNCJiIiIODkVdCIiIiJOTgWdiIiIiJP7f062L3bVABeKAAAAAElFTkSuQmCC\n", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] @@ -949,7 +949,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] @@ -985,13 +985,13 @@ "id": "6e5e2671", "metadata": {}, "source": [ - "$\\renewcommand\\Omega{\\operatorname{lcm}(2n^2,m)}$\n", + "$\\renewcommand\\Omega{\\operatorname{lcm}(m, 2n^2)}$\n", "Redifine \\Omega in latex to be $\\Omega$" ] }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 26, "id": "1377923b", "metadata": {}, "outputs": [ @@ -1007,21 +1007,23 @@ "(kappa/Omega < 1/2*q^2/r, kappa/Omega < -1/2*(psi - q)^2/(R - r))" ] }, - "execution_count": 43, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var(\"a_v b_q n Omega\") # Define symbols introduce for values of beta and q\n", + "lcm_m_2n2 = Omega # more semantic variable name\n", + "\n", "beta_value_expr = (beta == a_v/n)\n", "q_value_expr = (q == b_q/n)\n", "\n", "# placeholder for the specific values of k (start with 1):\n", "var(\"kappa\", domain=\"real\")\n", "\n", - "assymptote_gap_condition1 = (kappa/Omega < bgmlv2_d_upperbound_terms.hyperbolic)\n", - "assymptote_gap_condition2 = (kappa/Omega < bgmlv3_d_upperbound_terms.hyperbolic)\n", + "assymptote_gap_condition1 = (kappa/lcm_m_2n2 < bgmlv2_d_upperbound_terms.hyperbolic)\n", + "assymptote_gap_condition2 = (kappa/lcm_m_2n2 < bgmlv3_d_upperbound_terms.hyperbolic)\n", "\n", "assymptote_gap_condition1, assymptote_gap_condition2" ] @@ -1036,7 +1038,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 27, "id": "553bba31", "metadata": { "scrolled": true @@ -1054,7 +1056,7 @@ "(r < 1/2*Omega*q^2/kappa, r < 1/2*Omega*(psi - q)^2/kappa + R)" ] }, - "execution_count": 44, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -1062,14 +1064,14 @@ "source": [ "r_upper_bound1 = (\n", " assymptote_gap_condition1\n", - " * r * Omega / kappa\n", + " * r * lcm_m_2n2 / kappa\n", ")\n", "\n", "assert r_upper_bound1.lhs() == r\n", "\n", "r_upper_bound2 = (\n", " assymptote_gap_condition2\n", - " * (r-R) * Omega / kappa + R\n", + " * (r-R) * lcm_m_2n2 / kappa + R\n", ")\n", "\n", "assert r_upper_bound2.lhs() == r\n", @@ -1095,7 +1097,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 28, "id": "602840cc", "metadata": {}, "outputs": [ @@ -1111,7 +1113,7 @@ "r < \\min\\left( \\frac{1}{2} \\, \\Omega q^{2} , \\frac{1}{2} \\, \\Omega {\\left(\\psi - q\\right)}^{2} + R \\right)" ] }, - "execution_count": 45, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } @@ -1146,7 +1148,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 29, "id": "90149eb2", "metadata": { "scrolled": true @@ -1164,15 +1166,15 @@ "1/2*(Omega*psi^2 + 2*R)/(Omega*psi)" ] }, - "execution_count": 46, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "var(\"Delta nu\", domain=\"real\")\n", + "var(\"Delta m\", domain=\"real\")\n", "# Delta to represent bogomolov(v)\n", - "# nu to represent \\ell\n", + "# m to represent \\ell^2\n", "\n", "q_sol = solve(\n", " main_theorem1.r_upper_bound1\n", @@ -1185,7 +1187,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 30, "id": "c89865ff", "metadata": {}, "outputs": [ @@ -1201,7 +1203,7 @@ "1/8*Omega*psi^2 + 1/2*R + 1/2*R^2/(Omega*psi^2)" ] }, - "execution_count": 47, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -1218,23 +1220,23 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 31, "id": "9a56a088", "metadata": {}, "outputs": [ { "data": { "text/html": [ - "<html>\\(\\displaystyle \\frac{R^{2} \\nu^{2}}{2 \\, \\Delta \\Omega} + \\frac{1}{2} \\, R + \\frac{\\Delta \\Omega}{8 \\, \\nu^{2}}\\)</html>" + "<html>\\(\\displaystyle \\frac{1}{2} \\, R + \\frac{\\Delta \\Omega}{8 \\, m} + \\frac{R^{2} m}{2 \\, \\Delta \\Omega}\\)</html>" ], "text/latex": [ - "$\\displaystyle \\frac{R^{2} \\nu^{2}}{2 \\, \\Delta \\Omega} + \\frac{1}{2} \\, R + \\frac{\\Delta \\Omega}{8 \\, \\nu^{2}}$" + "$\\displaystyle \\frac{1}{2} \\, R + \\frac{\\Delta \\Omega}{8 \\, m} + \\frac{R^{2} m}{2 \\, \\Delta \\Omega}$" ], "text/plain": [ - "1/2*R^2*nu^2/(Delta*Omega) + 1/2*R + 1/8*Delta*Omega/nu^2" + "1/2*R + 1/8*Delta*Omega/m + 1/2*R^2*m/(Delta*Omega)" ] }, - "execution_count": 48, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -1244,8 +1246,8 @@ " .expand()\n", " .subs(q==q_sol)\n", " .subs(kappa==1)\n", - " .subs(psi**2 == Delta/nu^2)\n", - " .subs(1/psi**2 == nu^2/Delta)\n", + " .subs(ch1bv**2 == Delta/m)\n", + " .subs(1/ch1bv**2 == m/Delta)\n", ").expand()\n", "\n", "main_theorem1.corollary_r_bound" @@ -1351,7 +1353,7 @@ ], "metadata": { "kernelspec": { - "display_name": "SageMath 9.7", + "display_name": "SageMath 9.8", "language": "sage", "name": "sagemath" }, @@ -1365,7 +1367,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.8" + "version": "3.11.3" } }, "nbformat": 4,