From 0ba4838d8a5a466b44619f3fe1994a15acbc5828 Mon Sep 17 00:00:00 2001 From: YannAhlgrim Date: Fri, 23 May 2025 15:01:33 +0200 Subject: [PATCH] zufallszahlen update --- .../0_zufallszahlenlabor/main.ipynb | 133 ++++++++++++++++++ 1 file changed, 133 insertions(+) diff --git a/1_data_science/0_zufallszahlenlabor/main.ipynb b/1_data_science/0_zufallszahlenlabor/main.ipynb index beaa849..28d32f6 100644 --- a/1_data_science/0_zufallszahlenlabor/main.ipynb +++ b/1_data_science/0_zufallszahlenlabor/main.ipynb @@ -593,6 +593,139 @@ "print(f\"Korrelation der erzeugten Zufallszahlenpaare: {korrelation:.4f}\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Multivariate Zufallszahlen" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Lage- und Streuungsmaße:\n", + "Mittlere Anzahl Zimmer: 2.30\n", + "Standardabweichung Anzahl Zimmer: 1.14\n", + "Mittlere Wohnungsgröße: 49.42 m²\n", + "Standardabweichung Wohnungsgröße: 32.91 m²\n", + "Korrelation zwischen Anzahl Zimmer und Wohnungsgröße: 0.6244\n" + ] + } + ], + "source": [ + "# gegebene Parameter\n", + "anzahl_zufallszahlen = 1_000_000\n", + "p_lambda = 1.3\n", + "e_lambda = 0.1\n", + "\n", + "# Simulation der Poisson-Verteilung\n", + "import numpy as np\n", + "Pj = np.random.poisson(p_lambda, anzahl_zufallszahlen)\n", + "\n", + "# Simulation der Exponentialverteilung\n", + "Ej = np.random.exponential(1/e_lambda, anzahl_zufallszahlen)\n", + "\n", + "anzahl_zimmer = Pj + 1\n", + "wohnungsgroesse = 8 + 8 * anzahl_zimmer + Ej * anzahl_zimmer\n", + "\n", + "import matplotlib.pyplot as plt\n", + "plt.figure(figsize=(8, 6))\n", + "plt.scatter(anzahl_zimmer, wohnungsgroesse)\n", + "plt.xlabel('Anzahl Zimmer')\n", + "plt.ylabel('Wohnungsgröße (m²)')\n", + "plt.title('Streudiagramm: Anzahl Zimmer vs. Wohnungsgröße')\n", + "plt.show()\n", + "\n", + "# Lage- und Streuungsmaße\n", + "print(\"Lage- und Streuungsmaße:\")\n", + "print(f\"Mittlere Anzahl Zimmer: {np.mean(anzahl_zimmer):.2f}\")\n", + "print(f\"Standardabweichung Anzahl Zimmer: {np.std(anzahl_zimmer):.2f}\")\n", + "print(f\"Mittlere Wohnungsgröße: {np.mean(wohnungsgroesse):.2f} m²\")\n", + "print(f\"Standardabweichung Wohnungsgröße: {np.std(wohnungsgroesse):.2f} m²\")\n", + "\n", + "# Korrelation der Zufallszahlenpaare\n", + "korrelation = np.corrcoef(anzahl_zimmer, wohnungsgroesse)[0, 1]\n", + "print(f\"Korrelation zwischen Anzahl Zimmer und Wohnungsgröße: {korrelation:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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XyZfEP/ShD/GoRz2KxzzmMVte2zOf+cwzuvR9/fXXc9NNN21xYXjHO97Bv/gX/4JHPepRQDj3sizjRS96Ee9617u2bfk4FywvL5Om6ezPH//xHwNn9/k97WlP4+tf/zq33norVVXxiU98gu///u/nqquu4oYbbgBCe0Oe53zv937vadfykY98hKIo+Imf+Il7XfdVV13F3Nzc7Pbu3bu3/RmKRO4roriNRL4BHvvYx/JLv/RL/NEf/REHDx7kpS99KbfddttZDZWd7Epw5MgRIIiDE3+hpWnK61//erz3rK2tndU6V1dXSZKE5eXlLdvPZALfOcfVV1/NBz7wAX7xF3+Rv/zLv+Tv/u7v+OQnPwmEgSCA9fV1vPfs3r37lGNstw1Ofe0Af/d3f8fVV18NwO/+7u/yt3/7t3z605/mV3/1V7c83yZLS0tbbm8K69Ntr6pqy/Z2u01RFKfse/LjN7ef/Piz5brrruN3f/d3+fjHP8611157inhcXV3d9n256KKLZvefyD25Wmz3+e7Zs2d2jG/kXDv5+TaPdfJnvN35dm/HON3rPvk1b/L4xz+ev/u7v2Pnzp183/d9H7/yK78yu+/IkSP8wz/8wymva25uDu/9vX4B/bf/9t+S5/nMju2LX/win/70p7n++utn+1x++eV87GMfY9euXbz4xS/m8ssv5/LLL+fNb37zPR57Oza/zGwn/D7+8Y/z6U9/mre97W1btp/N5/f0pz8dCAL2E5/4BFprnvrUp/L0pz999uXhYx/7GE984hPvcajz2LFjXHTRRVtmC07Hdp9/nuen/AxHIvcV0S0hEvkmSdOUV73qVfzO7/wOn//858/4cScPjmwOxbzlLW857ZT8ppAoioK6rk+5/+Rf3MvLyxhjWF1d3fIL5/Dhw/e6vs9//vN87nOf453vfCfXXXfdbPvJ1crFxUWEELNfuCdyuufZbmjmfe97H2ma8qEPfWiL6PzgBz94r2s9X/jJn/xJpJT81E/9FD/wAz/Ahz/8YTqdDhA+q0OHDp3ymIMHDwKcMjS13Xu4yXbv++HDh3noQx+65Vhncq6d7vk2z6cjR45sqaBvnm/bcbpjHDp06BSHhIMHD57ymk/kyiuv5G/+5m9mFlqPfexj+aEf+iF27NhBq9Xif/yP/7Ht4+7pmBDO5+c+97m8+93v5jd/8zd5xzveQVEUPP/5z9+y3/d93/fxfd/3fVhrueWWW3jLW97CS17yEnbv3s3znve8e3yOE7nooot45CMfyQ033EBVVVvO/cc85jEAjEajbV/DmXx++/bt4+EPfzgf+9jHuPTSS3nsYx/LwsICT3va0/iZn/kZPvWpT/HJT36SV7/61fe4zp07d/KJT3wC59wZCdxI5IEknqGRyFmwnfiA45foN6tscPaViic+8YksLCzwxS9+kcc+9rHb/tmsQl566aUcPXp0i6Bsmoa/+Iu/2HLMzWn89773vVu2//7v//69rmdTiOR5vmX7//v//r9bbnc6HR772MfywQ9+kKZpZttHo9GWCekzeb4kSbZMhJdlyXve854zPsb5wPXXX8/b3/52PvGJT3DNNdfMhMvTnvY0brzxxpmY3eTd73437Xb7jG3B4NTP+6abbuL222+fTb+fzbl2Op70pCcB8Id/+Idbtr///e/HGHNG63zqU58KwO/93u9t2f7pT3+aL33pSzztaU+712NsVlQ3K5/Petaz+NrXvsby8vK2r2s7l5Htjnnw4EE+/OEP83u/93v84A/+4Gm9WJVSPP7xj+e//bf/BsBnP/vZez3+yfzqr/4qKysrvOxlLzvFGWQ7zvbze/rTn86NN97IDTfcwDOe8QwAHv7wh3PgwAFe+cpXorWeVXhPxzXXXENVVecsmGbz35VYzY3cF8TKbSRyFjzzmc9k3759PPvZz+bbvu3bcM7x93//97zxjW+k2+3yn/7Tf5rte+WVV/K+972PP/zDP+Syyy6jKAquvPLK0x672+3ylre8heuuu461tTV+5Ed+hF27dnHs2DE+97nPcezYMf77f//vQLAleuUrX8nznvc8fuEXfoGqqvgv/+W/YK3dcsyrr76aJz3pSfziL/4i4/GYxz72sfzt3/7tGQnGb/u2b+Pyyy/nl3/5l/Hes7S0xJ/92Z/N+vRO5Dd+4ze49tpreeYzn8l/+k//CWstv/Vbv0W32z3jVoprr72W3/7t3+bHfuzHeNGLXsTq6ir/z//z/5wirh8sbFZBz6bvdpMXvvCFSCm5/vrrueaaa/jIRz7Cq171Kj70oQ9x1VVX8cpXvpKlpSXe+9738ud//ue84Q1voNfrnfHxb7nlFn7qp36Kf/2v/zV33nknv/qrv8rFF1/Mz/zMzwBnd66djkc+8pE8//nP541vfCNKKZ761KfyhS98gTe+8Y30er0zqu494hGP4EUvehFvectbkFJyzTXXcNttt/Gf//N/Zv/+/bz0pS895TH/8A//wI033sijHvUovPf8t//230iSZPZF7iUveQl//Md/zJOe9CRe+tKX8h3f8R0457jjjjv46Ec/ystf/nIe//jH3+O6rr76avbt28fP/MzPcPjw4S0tCQBve9vbuPHGG7n22ms5cOAAVVXNKsUnisQzPUee//zn84UvfIHXvOY1fO5zn+OFL3whD3vYw3DOceedd85+Xjf7WM/283va057GW9/6VlZWVnjTm960Zfs73vEOFhcXt9iAnW6N73jHO/jpn/5p/umf/omrrroK5xyf+tSnuOKKK86qWg3M/i1885vfzHXXXUeapjziEY/Y0qsbiXzDPHCzbJHI+ccf/uEf+h/7sR/zD3vYw3y32/VpmvoDBw74F7zgBadMwd92223+6quv9nNzczMrJe+PT7v/0R/90bbP8dd//df+2muv9UtLSz5NU3/xxRf7a6+99pT9P/zhD/vHPOYxvtVq+csuu8z/1//6X09xS/De+42NDf8TP/ETfmFhwbfbbf+MZzzDf/nLXz4jt4QvfvGL/hnPeIafm5vzi4uL/l//63/t77jjjlMe6733f/Inf+KvvPJKn2WZP3DggH/d617n/+N//I9+cXFxy36Af/GLX7zta/8f/+N/+Ec84hE+z3N/2WWX+de+9rX+7W9/+ynruuSSS/y11157yuO3O/att97qAf9bv/Vbs23XXXed73Q6pzz+xIn8E9nu+c7WCmy7z/s973mPV0r5JzzhCX4wGPh//Md/9M9+9rN9r9fzWZb5Rz/60f4d73jHGR9v8zP86Ec/6l/wghf4hYUF32q1/A/8wA/4f/7nfz5l/zM51zbPqRNtuTapqsq/7GUv87t27fJFUfh/+S//pb/55pt9r9fzL33pS09Z18kOBt6HCf/Xv/71/uEPf7hP09Tv2LHD/7t/9+/8nXfeuWW/zc/ms5/9rH/0ox/tW62W7/V6/nu+53v8n/3Zn23ZdzQa+V/7tV/zj3jEI3yWZb7X6/krr7zSv/SlL/WHDx8+ZQ3b8Su/8iszWzVr7Zb7br75Zv+DP/iD/pJLLvF5nvvl5WX/5Cc/eYsjh/dnfo5s8jd/8zf+3/ybf+P37dvn0zT17Xbbf/u3f7v/v/6v/+sUKzrvz/zfivX1dS+l9J1OZ4uF33vf+14P+B/6oR865dgnuyV4731Zlv6Vr3ylf9jDHuazLPPLy8v+qU99qr/ppptm+5zu5/uSSy7Z4qDhvfeveMUr/EUXXeSllB7wf/VXf3UG71Ikcu8I78/gGkgkEomcJVrrmaPBRz/60Qd6Od8SvPOd7+T666/n05/+NI997GMfkDXcdNNNPPGJT+S9733vGbtyRCKRyLkktiVEIpFzwk/+5E/yjGc8g71793L48GHe9ra38aUvfekbmiCPnB/ccMMN3HzzzXz3d383rVaLz33uc7zuda/jYQ97GD/0Qz/0QC8vEol8ixLFbSQSOScMh0N+/ud/nmPHjpGmKd/1Xd/Fhz/84XsdVImcv8zPz/PRj36UN73pTQyHQ3bs2ME111zDa1/72lNs1iKRSOT+IrYlRCKRSCQSiUQuGKIVWCQSiUQikUjkgiGK20gkEolEIpHIBUMUt5FIJBKJRCKRC4Y4UAY45zh48CBzc3P3GGkZiUQikUgkEnlg8N4zHA656KKL7jEoJopbQob5/v37H+hlRCKRSCQSiUTuhTvvvJN9+/ad9v4objkeaXjnnXcyPz//AK8mEolEIpFIJHIyg8GA/fv332tMcxS3MGtFmJ+fj+I2EolEIpFI5EHMvbWQxoGySCQSiUQikcgFQxS3kUgkEolEIpELhihuI5FIJBKJRCIXDFHcRiKRSCQSiUQuGKK4jUQikUgkEolcMERxG4lEIpFIJBK5YIjiNhKJRCKRSCRywRDFbSQSiUQikUjkgiGK20gkEolEIpHIBUMUt5FIJBKJRCKRC4YobiORSCQSiUQiFwxR3EYikUgkEolELhiiuI1EIpFIJBKJXDAkD/QCIpFIJBKJRO4PamPxHoSAPFEP9HIi9xFR3EYikUgkErmgqbSlP9GMao3zIAV085ReO6VIo8i90IjiNhKJRCKRyAVLpS1H+hW1dbQzRSIFxnn6labSlt29IgrcC4zYcxuJRCKRSOSCpT/R1NbRa6WkSiKEIFWSXiulto7+RD/QS4ycY6K4jUQikUgkckFSG8uo1rSz7Suz7UwxqjW1sffzyiL3JVHcRiKRSCQSuSDxHpyHRIpt70+kwPmwX+TCIYrbSCQSiUQiFyRChOEx47ZXr8Z5pAj7RS4coriNRCKRSCRyQZInim6eMmm2bzuYNJZunkZbsAuMKG4jkUgkEolcsPTaKbmS9EuNtg7vPdo6+qUmV5JeO32glxg5x0QrsEgkEolEIvc592eAwonPVaSK3b1i5nNbTn1ue0X0ub1QieI2EolEIpHIfcb9GaBwT8+1u1ewYNKYUPYtQBS3kUgkEolE7hPuzwCFGNYQ2ST23EYikUgkEjkttbFU2n5DXrD3Z4BCDGuIbBIrt5FIJBKJRE7hm20nONMAhQXzzbsV3J/PFXnwE8VtJBKJRCKRLZyLS/xnEqBQnqMAhfvzuSIPfmJbQiQSiUQikS2ci0v892eAQgxriJxIFLeRSCQSiURmnOkl/nvrwb0/AxRiWEPkRKK4jUQikUgkMuNMLvG7M7zEf38GKMSwhsgmsec2EolEIpHIjBMv8afqVIF7Npf4788AhRjWENkkittIJBKJRCIzNi/x9ytNr3XqBd5JY+kVZ36Jv0gVRU/dLwEK9+dzRR68RHEbiUQikUhkC712GqzASr3FLWHS2G/4Ev/9KTKjoP3WJorbSCQSiUQiW4iX+CPnM1HcRiKRSCQSOYV4iT9yvhLFbSQSiUQikdNyoQva2tgo3i8woriNRCKRSCTyLcc3Gy8cefASxW0kEolEIpFvKc5FvHDkwUsMcYhEIpFIJHLBURtLpe22SWrnIl448uAlVm4jkUgkEok8KNkUqAJBnsoz6ok9XbtBK1N4PNp41icN3WJ7CbQZL7xgYlzv+UoUt5FIJBKJRB5UVNpyZFBxuF8xrjUg6GSKvQstds2fvmVgu3aDcWP40qE+g0qTKQXCM64Mly532TGfn3KsRArKM4wXjjw4iW0JkUgkEolEtuWeLu3fV1TacvvqmFuPjWiMpZMntDLJuLF87diIO1bHVHr79fQnmmFtyBOJ99BYx5F+xcZEM64Nzjs6qWKiLbeuDjm4Xp5yrLOJF448OImV20gkEolEIlt4IJ0E+hPN2qhBCIHzsDbROOeRUuCc51C/otfKKHpb1zEoG25bGWG9Z1hppBRUjWV93ODxpFJyZFihXU4iJOtjgxIlc8XW13S28cKRBx9R3EYikUgk8i3GPXm73puTwGInI0vkfeILWxvL+qSh1oaJcXgfwiRUAtbDSGtWxhWH+ykLneMCtNKWQ/2KQWVY7makSlI2lkMbE4alIUsVSgpSqWililwpxsZwsF/SzRPmWgol5TcVLxx58BDFbSQSiUQi3yKcSUV200mgSCXWeZz35ImiSD13rZUcHlQsdbL7pJrrfWgLGNUWIaBbHBeZiYBeK+XoMLQZnNgT259otHXMtxKkEAghUEpQZIq7NyrazrNzPsc4j5KSPBFcstjh9tURK+OavVWbVupjvPAFQhS3kUgkEol8C3Am3q5CwNq4odKW9bGdCeBUKipjsM7jPWSJQEl5zn1hhQDnPBNt6LWyU+63zpMlktpatHUUqaI2NrgbtDPwgmGtmVMSSWhr8HiMd4xrS6+dksjQTCsF7JjLSZVk93zOfCu2IlwoxIGySCQSiUS+BTgTb9eysRwdlJTakCeKbp6QJ4o718fctTYhkQIpJXDf+MLmiQotAV5grDvl/so4UimZy8NrgFDtdT64HMy1EjIlGVYaIaCTJTgLw8qQKEE3T0851lI7Zy722F5QPKDi9m/+5m949rOfzUUXXYQQgg9+8IOn3fc//If/gBCCN73pTVu213XNz/3cz7Fjxw46nQ7Pec5zuOuuu+7bhUcikUgkch6xWd1sZ9sLuE1v19VhQ2kcUgq8B209K6Oa9YlmvdR87diYjXGDtvaUx57sqDCsNBuThmF1dsJ3sZ2y3M2ZNJaNSYOxDm0s/VLTWMtckbLQzmZuBkKEKqxxniJV7JjLmctTamNJlKSVKRQCJQA82lg2No/VSllop9EZ4QLjAW1LGI/HPPrRj+b666/nh3/4h0+73wc/+EE+9alPcdFFF51y30te8hL+7M/+jPe9730sLy/z8pe/nGc961l85jOfQan4LSwSiUQikROrm9uRSMGxyjAsG6x13LE6ocgUVWNgKgyX2uk0/EDRnxhSpShSdYovbH/ScOdaybFRhXUeJQU7uwX7l1r02qe2GpzMfCvjYbu7fP0YVNqxXjYAdNKEffNd0kSw1MlmldZQYU7pV5peS1KkYV3zJsF78M4zqg1FptioNHhPJ0vZPd8mSyRLnTxWbS8wHlBxe80113DNNdfc4z533303P/uzP8tf/MVfcO211265r9/v8/a3v533vOc9PP3pTwfg937v99i/fz8f+9jHeOYzn3mfrT0SiUQikfOFE6ubqTpV4I4bw9qooTaW5W5OUmqODComjWW+UBjvmTSWLFHsni9orGNYGopUbfGF7U8avnB3n3FjWWin5ImkNo7b10YcHVVcefE8O+da97reXfMF3sOwNkjhSaREKYF1bOtm0GunYViu1LN+YikEE23Zv9xGAI31KAFKChIlMc5HZ4QLlAf1QJlzjhe84AX8wi/8Ao985CNPuf8zn/kMWmuuvvrq2baLLrqIRz3qUdx0002nFbd1XVPX9ez2YDA494uPRCKRSORBwsnVzZM50q9JFHSLUBEVQrA+bpAFTLTDOk8rUyxNh66kEIwbzbxJqLSb+cL+8+ER48aydyEI2NpYJrVFCsGdq2PqxvJdl4h7dSQoUhWG1E5wdsBzWjeDzf03nSDK6SDc5v7AFpcI7487IwgRhu3uC2uzyAPDg1rcvv71rydJEv7jf/yP295/+PBhsixjcXFxy/bdu3dz+PDh0x73ta99La9+9avP6VojkUgkEnkws111c9IEX9mqMRzY0aFqHMNakyWS+VZGlgga66i0xViHFGEQTQpoTBgkm5+KxGGlOTaqWJiKydpY1kYNjXW00lDxHdXBW/ZMHBaKVFH0FAsmPa0n79nsf/J93vOABVVE7lsetOL2M5/5DG9+85v57Gc/izjLTm/v/T0+5hWveAUve9nLZrcHgwH79+//htcaiUQikciDnROrm2vjmo2JpjIWCTTOUzaWPJVkRjKuDd478JJchdu7uwWdVkpjHY2xGOfptVN2zQWRWmmLdZ48CZXh9XHDqNbMFSlKCvJEMqyhk6mZw8LJKWPbcbbV1Hva/8TQh3uzRYsC9/zlQStu/8//+T8cPXqUAwcOzLZZa3n5y1/Om970Jm677Tb27NlD0zSsr69vqd4ePXqUJzzhCac9dp7n5Hl+n64/EolEIpEHAyemkRWpgjb0q4ZukbArz0mk4K61CRuThnaeMNcK9l/jyrA20bRTSTdPuXi5zVyR0hjHRtmwUGTsX2rPnkdJgZKCQaWptefO9WAdVulQuZUSlAr+uHkqgzeteWAsuE60RdskVYJeS9Iv9RkL78iDkwetuH3BC14wGxLb5JnPfCYveMELuP766wH47u/+btI05YYbbuBHf/RHATh06BCf//znecMb3nC/rzkSiUQikfuLTdGqrZv61m6tWp4ujawylsZ45lspUgiyRNJr5QxrTWMcjQlpXnkmODaoWZ807Jkv6OYJ2jpKbZnPU3bOby0SzRUpc0XKlw/16RQJiRQUicQ46FeaSW25bGeHbpHgvd/isHB/cqa2aA+U8I588zyg4nY0GvHVr351dvvWW2/l7//+71laWuLAgQMsLy9v2T9NU/bs2cMjHvEIAHq9Hj/5kz/Jy1/+cpaXl1laWuLnf/7nufLKK08RxpFIJBKJXAhsita1ccPGpKEyliJRLLRTljr5bIBqu8vud2+U3LU6pttOGVYKKQWdLCFLBZmRTBrDoGyYLxJaacJ8y5NNLb+GldkypLXdZfteKyFRkmGp6ZcaARgPlTakUtGaPuZEh4VNTqwwn2tReeKxz8QW7YES3pFzwwMqbm+55Rauuuqq2e3NPtjrrruOd77znWd0jN/5nd8hSRJ+9Ed/lLIsedrTnsY73/nO6HEbiUQikQuOzV7RQaVDXyx+VlHtVxrrj0/+n3zZ3XlHpQ3rVUM7V3S7OcZ5hlUYINtM9zo2CsdvpYqd3XyrowCCPJXbis/aBFeEK/bO80+HBhxuahrnmM8SdnUL2rlifVIzrBqcFzOHhdNVmO9psOtMhfB2x04TibHutLZo2wnvb2YNkfsf4X38bjIYDOj1evT7febn5x/o5UQikUgksi1H+hX9StPo4GowVxwXr8Nq87ZnXBkuXmrPImoBjg1r1kY1w0rjveeixTbZVJRtPnahnbI2atjTK2hlirkiPWPxWWnLnWsTKm0Z1QbrPEcHNc47FtsZUsDhQcXehRYPWe6yu1fMXtPJFeZJY8mVPGWwa7u1ZEox10poZeqUtozNYwff21CxNc4zLDV5qtg5d+r8Tb/U9Ip0tr6T+UbEeOTccKZ67UHbcxuJRCKRSOQ4m72iSsK40bNL/JsUqWLcGObyhHFjcc7TeIfzHmN9uK+V4rzn2LDGn/TY9XEQv3kShqqGVWh9qLUFIe7VVUAIMNYxrDStLCFVknaWMKw0pbZoE0RmIiWLnSAEN8XnmQx2nexwYJ1jbaxZG09IBOyab7HUyWYisz/RDGsDwHpjcM7P2jAAqmarLdqJovp0wQ7RZeH8IIrbSCQSiUTOAzZ7RVMpcD64E5xIcCbwJBK0tRzaKEEKnPPTaqVh93xGK1dkpWBUaVQrOBxU2vD1YyOWOjkP3d1lrkgwznPn6oTKWC7f1Z1VgU8nPvNE0c4S7tooZxXlLJEsd3O0dQxKzcULLeZaKVmiznqw60SHg9pYDvUrau3CWqdevJsic7GTsjauGdUa74N4T1Ixa8MQAlpJQitR1NqeEvpwOoEaXRbOD6K4jUQikUjkPGAzQtf60BNqnSc5oWfUTCuT1kNlHCvjhosWWiSpoNSWI1pzdOhpZwn7lzpkSjFuNLV23L46Zlwb9i21GFQG6zbjeh3eewalYefcVtGWSMHqqKKdq5mYXexkFEqyMWlm/rbWeSpt6eYJ8+0UwdkPdp0ohGtjufXYmGOjinaaUmpLOn2e5bmMSjvWJ5qNicbjmW9ls2OmSpAqyaBsmDSGR+ydm63l3npno8vC+UMUt5FIJBKJPEi4pyGlEyN0O1kaem5P6KmttCVPFEf6Ne1MsdTOqbSllQaXgsVWxl3rE3Z0C/YuhMvnRSa4a71EW8dlO+fYNddi0hhuXx1TNprGeubyhDvXJhSpZK4IVdNBaRjXmmFlEEKy1LH02inzrZQDOzocXC+pjZ31pM7lKXOthNocj+oNA2ic0WDXphC2znFwo+LYqGYuT8kTiXWeUlsGtWZ3r6CdJayNGoaVZrGTnXJcgFRJRrVBW7elb/meiC4L5w9R3EYikUgkch/xzU7194qU4oRBqc0I3VpbBDAoG9JppXTSGJyHunHsWijwQK7UTGQKIJWKg/0JiRJ0MsWwNgxLzVwrYefctH2gMtNVCfCOTEn6lebooMITqrjNtH+2myuyVGzpOd09X4CHYa0pUkU6DW44uZ/1RLHea8lT3pPN6i8cr1qvjTW1CYI9T0IUcKIEbSFYG9cMK8N8kSIl5IlEW0frpONq6xjXBiXEloG7e2NzDd+sy0LkvieK20gkEolEzjFnM1F/8pCSsY71cYjIVVKwe76Y+dduRugKGdoSVkc1dw0nrJeaNIGFIiPPJO0sCLsskSx1M/Bw0DhamWTcBIeCUa1ZHdcsdnIWWykbE431Hm0d3TyhSCTHBjWj6SCasZ6D61WwDSvS4LCQZ3TzIEA3e05394owWDUJl+kb45HCbtvPuinWTxzsGtWGY4MabYP12F12QjdPcR7Wxg1zeUKpHdZDMhWSpbYstrLZUJgSgoVOTtmYMOCWKqzzbEwa1ssGPMwXGUeH1Sw++N64NzE+aeysKh15YIniNhKJRCKRc8imWN2sXGZJqFyebqL+xCGlSltWRw2NdSx3cyaNoTJu9tiFdkqlHdo4ALz3SAkHllvsmi9mQ2BrY82e+YLaOGrtqY1lbVwjpQi+tR6ETABPK1NIITkyqLA+PC+EgbWiUNSNxVlPUggOD0qW2zkrxpJPLbg2ObHntEgVRU+xYNJ7rFwXqWKxk7I+0Ywqg3Ge9VGNUpKLl9p0smTmRlBrg3UO49ysat2e3p8pSa+ToqeuELu6wcbr6LBCIFif1KyMa6z1LLYypISFdk6lHUf61Rm7HGwnxs/EZSFy/xLFbSQSiUQi55Ajg4qDGyVSMkv16mTHe05PnKg/eUhpWBqaE/pAEykZVZr5ImVYG1ZGNXOtlHammDQWKafXyr0Ags3Vzm7B0WHFMDPMt1I2JjVHBjWNsTTGUTUOlQgKJUmkQltPqjzdIuHOtZpESBIp0MZhrGNPr2CuSFkb1Rxcr9Da0S0ykpZkWIYWhiJV2/acnk0rhveeWls6RcLFi+3Zft578kQyrgEPG9Nhsf6kwQO75nIWF1t4H6qnO05Iaau0pZ5WsBdaGe1c4RxkKlS0i1SdlcuBELDQTqdi+8xdFiL3L1HcRiKRSCRyjhiUmjtWxiBgLjvuFjCsQ69or51umag/cUipNnbmX9sYy7AyjBvDuDYgBLW2GOtC9bAJtlftPKHSHusdo9KQzym6rYRxk3BsVIfghH7JbatjjPUIBEUu2d0uSJVkvWyYaId2jp3dHCXg9rURgyrHesdF8232LrSCD+6kpluk7OkVLHWLLa9rx1yOmgYlnEnP6XZ+sZPGcrBf0cnULGVtUIb3oGosRwclXz02pJdn7F0o6C21cEBtHEcGFa1UsW+xw/7l9kxk7u4VHBvU3N3YMAjmjw+3be5zJi4HZxMeEXngieI2EolEIpFzxPq4obKOPfMFYqryEiWYUzKEGdSWYirevA/DTZtDSjNHAB/CCTaHtvJEoK3l4EZJYyxZIkMQw6imV6RYD7mSTLRhziTkiWLXfM5dayV3r00Y1oZaO+ZbCQudnJVBw/q4mQnvjVHFsYEnV4pWptDOs9hOyDPFQitjWBmGlcE5wUOWO2Tp8UGuzdc1LA1ZKs+453Q7v1glQ1CE857VYYMXnsY4jPUc3ii5a2PCsDQoITkyqIM7w1Rsb0w0vXbKQ3d3t1RPi1Sxcz5nUGs6mUJKccr67s3l4HTBDZPG4iY+VmsfhERxG4lEIpHIOaA2lklj6GRq24n6VqpYHVUkicRYR6IkUkDZuDCM1E6RAjYmwY0gSyRH+xVSQKU9hzYmNNaRK0m7SFgfNawMa5RQ9NqKhXY+Sx1LpJy6CSRctNQGPImStFOFlJ4710sEgvlWipSSqtGsjWrahUJ4j5KSvfNtWpni2LBibdywb7HNUndT7OpZK0IiBUcGJfuX22fUc3o6v1gpBFIKJOF4wT834861AWuThiyV7J4r0M6yMmoYN5ajsmb3XMFDdnWZL5Jtq8ZCQJFIEiW3dUe4N5eDGNxw/nHmHhiRSCQSiUROi/eQqOAkUGl7yv3WO+7aKDHWM9dKmSsS8lSBgOFUJAmCpZV1joPrE7TzLHVzhPfU1tFoz9ePjTi0XrE+abh7veTO9RH/dGjAXWtjJrXBe8/auGbcGHbPF+ztFeyaD9Zg48ayMWoYVxYpBM4FodbJEtJUUjWObq5o5ymro5r1cYMAEILlbkavlbFzLidLQi/w+qTG+RAMsXvqOlAbG3pdzanvweb7dLJfbGNCTHCmJJPGMNaGPFXTlDETBulqh/HQyrIQs9tSwQlCeKyz077dU59v0+Vg0my/nklj6ebbV5zPNLjhdK818sAQK7eRSCQSiZwDNn1Q27misW5LddM4z13rFVJILl5qzSqI3nvmigRtHQJBlki0DkNneRJswBwwaCyZlIxtw6ByTLQlVQJrPRYYG8tCW3NsVDGsDbmU7JzL2dMrkFKw3CkoG8utKyPWq4Y8lYwbQ6bCYFmpHRtlw1IrZb6TsaObMWkMiRIsd3M8AiEElbYMS4OxDg+I6X8L7RQhxMxirDIOiaBTqFOstk70i3XezfpqnfNY59iYaAYTjZ4PPchSCGrtsN6RSkUnV5SNo52HtLNWppg0DiX0aauvZ+JysJ0ncQxuOD+J4jYSiUQikXPAiT6oO+fy48NQ2uOcxxjH5Tu7zBfZ8ZSvqairdUjrOrDc4aF7uty1OiFPQ/+rcZ5UCNRUkJXaoJ1kRyfDC8+oami0w/kWqZTs6hZcuqPDyqjGOE9TWw5tlHzl2IgjGxWDqqFQEplI5lsJx8ahZ3bHfE7VOI72a1pJyvJchvfQGOhkirVRg7WOxnl6rZR2lmCd59iwxjiHlMx6ZGtj0NZzcMNxbFDz0F1deu1sy/t0bFRTTx0cilSRpOH1rY41qVKUtWUwMdTG0EkS5op0JjalgFSGmOHQyOC39BWcLFQ3/YE3h8JOdDkoUnlaT+IY3HB+EsVtJBKJRCLniM0KYaUdC+2U+WlVtl9pdnQzdvdyamM5NqxpTBgmq7VlWGnWJw3ahkpkkSXs6YVWAms91jpuXwn7Kxl6dvuVQQhBO0nwzrAy0nxPJ6eTJ5SNpT9pODyoOLxRsjppkMB8kZJIWBlVtElxVlAkis58ihOO9bLBAXeujzkyKFmey3EW9iwUHB2UbEwaljo53gd/XOcJfbil4VC/ZC5PaayjlSZ0cjETv/98ZMSlO9okSqKmXrt3rk1YnzTsnDotWOeptGXfQovVVDKYNOSJpLGKsXY4D0qEIIZeESrFpbbMFym9VkaRhde9MT59eMbJ3rves+2w2ImexDG44fwjittIJBKJRM4RJ1cINwXWzk5BK0lIlGRjEpwQ8kSyOm6mw2OKHd0chGdca8a1Zn0c+nelBG0sq5OGVhqm/a0T5EpSpAlIz3wroT/R/PORPrvm2+xfbrNjPue2lTHHRjVKSiQe4yz9yuCRSCnol5qlTsbu+Zy7NyrWRzVzrYRcSVbGDXetTRASlFyklUo6vRaVcRwb1eSJ5OLFNr1WSq0tq6PQM7wZAgHg8QgBn7l9la8fG7LUDUK2V2Q479nRzWfxwNY6WtnUWquWwX93Wl0eVIbD/ZosESwUGULBoX5Fr5WybymsQRvPsUGNF5xWqBbpVtuuTWF7T8NiMbjh/COK20gkEolEziGnS+c60q84NgqDXkWqGJRB5HbzhFFt6GYp8+1Q+dTWcbhf0a811oaKphSeSRPEb7hcLhk1NakUEDIc+KfDI9YmhuVuRiIExjvaecKw1pSNRUnJUjslkYrKGkalppsrhpXBOMfOuYJaO1bGDUkiEI0L+2qHxXNgsYOUAuc949qQJ4pUhajf2hiKNKcxlto4RpVmUGluW5nQLxuUlOxbapEqxcHBhEllePSBReakol8aKudprOPoSoX1nl3zBakU3LY6ZlQZBJ6N0tBKE+Zkyu4dBQ/Z0WV5LqdfaqzzKCXO2NXgTIfFFjrpaVsaYnDDg5MobiORSCQSuR/otVP6k4ZDpWa+SMLAlhSMaoO2FoSi1obaODIlkULQSRW9+ZSJTrlrY8z/744BxlpSJZnUlsZ5RrUFb1nqFORJSET7yuEh3TxhWFu0seCgmyWMa4OSknYuafmMtdGQ9XFFZSx7F9p0M8lGqenmCdpYRrVj93xObQyNEWzkDbt7LSBYd40bQytVWB/6X4elYaINa2ONdY5BZWiMZfd8gXGO9bFm70LCxb02/zje4OtHR+yaL2iso5MnOO9x3tMYS9VYds4XXLTYYsd8QVm3ODKoGVWaVip52O4u7TylX2ogPE6KIFpPbhPYLqjhbIbFzjROOPLgIIrbSCQSiUS+QbabsN8uzWqz73PPQov1UjOpGsa1QQCjytC4UKl13mMs7F8q2Dmf08kS1scNK6OG1YGmP66pG4uVkAhIpEJIsHgGZcOuuZwiUXjg4MaEW4+NcQJ2dHO8dxjvqZoQwetxOAcGkBKEd4ya4ErQaIvxUGSS5W5GZTx5Ijg6qljq5qQqRPRW2pMogbWOcWlZESW18RjnSITgSL9ECJhvpfTaGcZ5hpVhuZuze67ga0eHpIlgT689ez+tB7EpnCvDJTs6ADTGsneh4OioIVeK1ZFGTf18a21ZGVUUtUJJMYs73qyqbudq8I0Mi0VBe34QxW0kEolEImdBPa0q9ivNuDJY71FCsNTJKdLQU3tPA0p7FwoOb8BIW472axrrUEpgnOXQesXaRHNsWHFgqcXFi53w+EmNl7A0l3P3+oRcCbyAibZ0MkUnDclkUklUIhmUmnFtGGvLpDLBizZVtJKEdgrHhhWj2lCkkoUiZbGVMagNhwclO+cyds21aKxjdxqibLMElPSUjWNQanqtFOc93gex6j2MG8Pd/dBuoK2lsjCqNO1MYm3wsO1min7ZUKSKuUKhracxHm0dznmODivuWh+TKImzsD6uWZ5L6eYZWaIQQrC3p+gVKc45eq2McW1obEgKK1KFFGJLLHCRqtMK1TgsdmESxW0kEolEImfAZkV2bVxz59qEYanJU0WRSaSUHB1WQKjS7pzPZ162m32fRwcVw8qgJEwaw1ePjNiYaHbP55SVY6PSeGCxkzKsDHevVbTzlElt6NcN80WG7vrjgloKpLAoEWJvsyTBOceRQUWiJI11XLRQcPvKiCP9irkiYfdcDl4wrAzaOOY6OZ0ipZ0n1OMabz3CBtux3e3g1jAoNTu6Oa1MgW9IZAiaGJSGHd0MCawMG/IkuBfctjqkMR7jPVJIOllGbR13bwQP3FaaEpqEPe08YbGTMqoNK6MK62CxlWG9o5aOUltWhw2pCoNglbbMFSkL7fAejWtDbR0758IQ27DSzBXplljgIlWnFapxWOzCJIrbSCQSiUTuhUrb2WT9oDKMGo2XsDpuEGNPlkoGpeHYsOLyHV2M6265NF5pGyqpjeUhOzrsnMtpp4pjtuK2lTFCCsrGkEjFqNGkUnJ0VLJnkrNWapwDpcB62NnNabxjdRR6TWtjGDaStnN4BB7D2qjBOMdiS1GkCcYbJrXldl3hvQPvyTJJnklKbcikoDIeqRRHxjU7JgU75/JgVzatKg8rS6ktd69P2ChrEpUy30r4+rERq+PgyJApxXwRXB+cEBxaL7l7o+ShuzIaY1gfe1wLjM05OqxJkzAANigN3TRBSslYaY4MalaGNZ089CZvjBraRUI2dU8wzmOdZ2INc9MBsvlWQm3sLDyjSCT9sgbhmZu2hZzMPfnfxmGx85cobiORSCTyLc12fbMn05+2GrRSxdfGDc6BJ8TtVo2m1qG1wFo4Nq7Z59pbLo2vjRqqaaqYkgJP8Indt1Bw53rF0WGw4CoSSaYyRrVmvWy4bW1EphIyJUkV1MaQpQppFak0SBRD3TCuDCaVJFKx2A5C+fa1IZlIyDPFRQs5wsPaRDOsHACJ8KwMK5yHet6x2EkRPqGynqOjGis8Ozs5nanTw5FBRa0dC52Mnd2cdiY4Oqi4fXUyTTuTzBcJg5ZiUBqssRSJ5NCgZFitcfFii8Z4OrnizvUJC62UxU7Gp7++RitTWB9aC3qtjGJJ0RjDsLQMKoP3goVuiP7NE0W/1LQyRWPcbCAsT9SW8AxnHbXxzBUpu+eL0wrVIlWITvAX9vhT7MIi5x9R3EYikUjkW5J7Gvw6UQhtWkYlUtCfNAzLBiGgsdDJp1VZo9nTKtgxl7FRNgwmhgPLHVZHNevjhkHdAAJjHONpD+zKuGZ11DCpw+0iUSA9uvEMSk2/bLjtWBjGamVBuM3lKWvjmtp4WpnEoyiNxQGpEFRGM6oTDm+UrFUaXMOO+YLa5EzqhvXS0MkUo9riCH2oUgiUEKRC0aQeb0IvLl6gvUc4x9q44StHRighEApSKfBAbRyro5qy0eyYb6Ebw6RyaO2whJaMRAhKbTi0UdHKVLDe8h4/bYAd1A0r4+AQsdzJyVNFYywXL7TRPcuotDhnmStCP22/1ORKsthOp+loxwfCgsBV9ExKM00/29MrTitWT38OEKu25zFR3EYikUjkW44T2ww2ey3HjeHosKJfNRxY6szETdVYjg5qpIRhZTgyrBF4lrsFZWOptEGI4LGaJRKQTLRlXBkmtWFlVJImCmsco9pxdFjTyhS1sdy5OkYCUkms82xUhvVRzaSxtJIUL6CsLcfGNd5Blklq6xhWwWPWWINEkCWCxjqsg7vWx7TShKV2jnFB4N25PkYbT69ImMszKl2SKEGRJUjC8JSlop0kDKrgo3v5rg7r44bbRw23rowZN5pWIrlzpeRoWpNKhZymnSkpKNKMQd2gp96641oz1BaEoNfK6GQJi+2UuXbG8nzOjk4LbS39iaHShk6RsjoZ0VqbsHehTStTlI1nWBtWRp65Q2N2zOfs6RUstlOyRJGpaT/tSQNhWSIptWWpk88+75Mr89udA9uFPkTOP6K4jUQikci3HJttBr1WGCjaGGvGTajeHR0YGu156O4uAEeGFZPGMN9KWepkdPOE21ZGNNqjFGyUmkQJBpnBOJjLFY22HB6UDKqGUeWY6DDc1MkVB5bbaOtopwlIwWiiUalksmrxwlEbRyIlkjD1X1aWxhuODWpaiURIQScTOCxjbbAmVByLLMFbw0R79nYzvBOkMqFfarSxDEpDnojgfKCCGE508Mwda8u4AjUvyKbDWLfcus7quMYDa6MaYx2pUNTWsF46jHMUScKoaigbgydEAzvrGRmLdZZx7RBC4KwPtmeNpcgck8oxkA3jxmAJ9znrsNZzrKrJM0XPZyRKkklJuwV7l8Iw3MqwZlIbEiUxNoRJNCbEHZ84EIb3VMZy19rxqmymFHOtkIJ24jmwyT2FPkTOH6K4jUQikci3FCcmU1XasjIMdlytNHikJlJwZFiRJ5I8lYBg93yLYa1pZQmL7Yyv+dCXutTOkAJSESyuvBdcstRCSMHBjQneQ5pIOoRBsVauGFSaPAkVx7ks4e6NkmposNaRJopuK6WVeEpjmVSh8tpKFE6Cdo6q8VQN7JjL2dtrM6lDv2srk9zdD2IVD0UqSSS0SKhri5KecWVZHWtwgHOsVxbhg6drJ0vBQ54IbA3/dGQd6xQX9QpaqcJIyURrJo3D4cmVpPYGJTyjyvKlg326LUU7kRgnSFWw+xpXjsZ7KuNoSUmeKpSCftXQnxgWi4Qkk3iCZ+5ClrM6rhjWhl3dnCSRKAGNDu0Ha+MGKXP2doJvrnGOWluGZeiBlgKKaeW2NqEqa51jbaxZG09IBCx0MqrGsmM+3/Yc2S70IXL+EMVtJBKJRL6lODGZamOsaaxjrjhevdv0RR3UDWbsuXipHYICTpjEX2znrJcN/UpTJCH+tpUmJEqEamMi6WQpRSYo0oRxZRhrjURQG8tg0vC1o0OGlSZhGigw7WO11mGUpF9pvId9S6HS20kTpBIMJpqVcYPxcNF8i9VxiXaQpQptLM55UhkG18aNBeuCu4CFidU0TcrYhDhbbTy1djjAe8+hvsc6wbhumFSeJHGslxpjLXiB84KysaSJoPY+CG4LeSawxrM+soykJU8FrWmFOFOKXAmKJCFR4K3HWo92DjvtvV1q5ZTG0Zq2h1SN5/D6mMFEM99K6eYJn7tjgwM72uzptaYRxZ4skeyaL+iXmiKV7JorEAI2xiH6d65IKbVhUIbq7lIno2wMpbbBlk0JUiVPEbDbhT5Ezh+iuI1EIpHItxSbyVTjxoQ+0pP6Ko3zSClopQmHJxXOeaQQzBUJ65OGiTZctFiQpYJBqdkzX4AQpEIgpWB1XCIIYQ5KSuYKx7gxCGQYHgO+cnjA0VHDXCbpFgnahXaETIJ1DuscxjoWWjntXDEsPY0LAjdNBEUC48pQGYN1noPr5cyTNpFwd79kRycPdlmNpXEOpaDUnqFuGJQGISStRGCdw1nHugli3+Ex1tHKVXi8NngXnl8bMM6i6+BhKwDjHe0soduSuGGDtSCERHuP947dvRZ5qhhUhixRaAP1NMFsLkvIEsVCJ4HKUFUWnGNjUlMZR6UtOzop3SLh4HpFIqHXSkOrwwnKs50p6mlfba0dt62OMTYI2I1xg/OwZ6EgVRIxjSFupZKyCe0aO+e2OQdOCn2InD9EcRuJRCKRbyk2k6mOTm2wlNyqYIaVppMnpEqgreXQRglS4FwQfQrBJUsd9i+2WZ9oskTinKPUjo1Rw0R7Uhniao1zeOGx1lEZw7A0lI1lZdhQpOHSfaeVY51jrF2I1tUOY0PrgBKesnZhaM0L8lROB6kkG5Xh8EZJpS2DSuMdOO9pLDTGM6oNjbVU2jFXJEyMQAnLqDJkSuGcY1AajHNIESJ0tXWhqq0EWjtkKqbpYoLR1AXB49EWssTj8CgBaSLAQZYojLAUSpAoQdU4VsYNc5lCKUkiPHkGbSkY6eCQ0G0punnGqLI4DxuVxlhYbAdRmyUppXZ0WoraeQ6tlezb2UGeoDw3K61lYznarxhUmh2dDE94T4zzrI0aukX4XK3zMw/dcWPomXQ6DBiI6WTnN1HcRiKRSOSCYdOzVlsXqnSn8a7ttVP6VcPRgSGRYpZitTqqMc4BwY7ryKCi1I5LljskqWDSGLRzrAxDaEErVbRSFURSFQaknPesTjRKevI0YTjR3L0xodYh7OFgv2RY1+zJ2jTWYytNJ09JlGckNSuDksp6hAz9pbV1ZImCad/puNGMKkvVGO7eKLHekwqJygRCqJDaZQzGCEaNRikJQrB7rkBOgyek8ORJqGCW2iGFBHwQ+wLaaUJlHbrUZKlEKxXELw5nwBjotQTWKfJU4D3URmNsMAwWUqESga5DXK/wMN8W9KuaRjuShTbdLMU4SyYEqRJ0sgRtHIvtnFQoZCJYbufMtxPWJg0S6LUSjowqLt7R3iJGNyutwzJEDheJRNvgYCGEpJ0Jjg1rVkc17Ty0nWTTXt5BGYRwqmI62YVCFLeRSCQSOe85MRp3Y6KpjKVIFAvtjKVOdop3bZEqDix1aLSfuiFYNsqGREoWOymtNDgiSBnaDQalptdKSaREeMGXDg6QAvYstFhoZ1TasDapWR9r5ouEdq6CR6yAQxvh+KlSKADv0QbG2mJccEZY6GRYZ3DGkSUJldUY49HOIKRAG8hSwaSxTBrL2rhBSRBpEG6pEEGVOo+SCm2DyPMuDMhlQrDQyXHOMawt3lu0tVgB1kHjHFKAc5CmUBoLDrwAgSBNJN4rmspRm5CWVluPswYc1F6gp44IRSpIEkEmJEZBKxN08mBNlqctOq2Une2MXfMFBzcqHNDJExyeSlvu3ihZ6GQY69AuRPDO5QmNcfQnTXCLyLd+YZk0Fonn4MYE632wbNM1C62UUms2Sof1oYprnaBX5HiCKG4lksY4nDcxnewCIYrbSCQSiZzXbPqVDmvDqNZ4PN08QVtHvwwxtNv5lhap4qG7u+SJ5O7+JKSAScmxfsWoCS0C+5bbIQHLh3aFlXHNxBi8g4ExdBvN7StjJtqgnaeTqFmj5mKRcvdGhXGOnd2MUlsa68hTRZEKJk2wEKuNozaKZjbYFarNSglqY7AOjNUYKyBzDCcGPRWe4MBJrAThPalKAEcnz6m1Ji0USkrSNBzPeY81ln7VMGksVciWwDmoCalraMhk6GcVgJCSdiJIZEKjPTYNIlA3Hutg4sDiUUC7EEgpcd7Trw3CewQpw6qhsY6LFwvmRcb6xFCZCQ9Z7uCBo4MaBPTaCd08eO92p20BqRLkqUCJqdUYoa92UDZIKYI4N6F1Y3XcsKdXsHtecWRQsTZuWB/VOGDnXM7GRLPYzljohGMf2jDs7RVctqt7ryl1kfOHKG4jkUgkcl6z6VcKQRjOtzIAWgRBKhDU1m3rW1qkit29gq8fG3LH6oTaWFqZIlcKmUgqHSrARRosvbpZgkTQ72hE5dkYN4waQ1kbtPfsnS9QSoTnSgSNMfQrg7Ge1XHNzrmcA8sttHXhcZVFJiJcTq80VWMojSVPEjpZgvBQ2yBmx8Yzbgx5mrDUlRgDlTaMKkBCJ0sI9U8YV57KOiSeREmWumCNZVQbjg0rJjVMdS0pU1E7xXjQbtpLq2SoNFsQQrDcy7gs63BkWDKe9gJXDdgTHi8RGB0G5IxzlMaipGTnnCARCmOCMrfOUWvHlQd6rI/0dLgvx3vJRtlwYLlNkQSZ0ljLuDFsjGusFfzToSEeyKRgoZOhZPiSUBnD+rhhsZOzp9dibVxzuD/BOlgfNxSpYqmbIoVgWGnyNPTfNsaRJXLaXmGjwD3PieI2EolEIuctJ0bjrjdmS2W2MWF6vl827MmLbX1LK2053C+5fW3MpDH0OhlzWUKRJhwdVVQ6iGY98SxOfVXXJyEyd1jpaSqYoJ0rjgwrDg4qLllq0RjPoX5NphS9IsE6T5Eplrs5o9Kw3MlREmptMdpSN4Zx43A2CNs0ETjvSBLJXCdlUlr6bupEkIEkwUuD1sHWzFtojKF0oc0gkUGYCgTOwaF+SSKCSG1CJwF++qf2x8WAmP5xPlh8NdbR7SoSKXHCs2+hSysV1NbT63hWRg3O1oxteJx1ntpoSFPaRYLRlsZYOrliZ7egyCRZGr48CAGD2jCZ+s3uJJ+6GrS49eiISW1JZLBV6w8bjg4rlJRcvrPDUiej0o6DG2MO9icUqeKS5Q6TSrI6brAednRzFjsZFy918M4jCO0RIBlVGudCpfZgf0K/rMnThE6e0ErlKTHMm73csbJ7fhDFbSQSiUTOWzY9a1MJznmSVDCqQxpYpQ1SCCpjyRMZErymJcraWKrGcmRYccfamMpY9i60SKSkNh6PZT5P2Sg1QiZI49gA7t4YM6ochwc146pGCcWw0SCgP2lYHWqO9itaiSJLoZOnYY3W0UkVRnu0dyzNZaENwdWAIBGQpxKZCKSSGONYHxvyJKHSDYPSoi0oCb4y4KGxgIcsgUpDbcAQRGYrASU9qQqDVXhPqWE674USIAHtg9A1HBcEDmh06KsVAryEUhu6RTpNHQMpgntEN1PolkI1liYsC+fAW0eSKJyQZJlkrsjIkgSHIJUS58FYAzi+emTErvmCPb0CbcKXgH3LbQ5vVKyOKozzVNrRKzIuWmyzd6EFQKlr5lo5hXUcG9bU2rHQzXDA+qRBCVjsZEjvGWrDpYsd9i628d6zNm7wKpwzjW3InUIYixJQpNksgnehnVJpx6g+nnJ2svCNPPiI4jYSiUQi5y2bnrVBLDnuWp+wMqypbUj1yqdisV9qysYynM/pTzSjWnN0UDOoNLVxdLIUY31I9VIwri3ZdIJ/ZVCz2E5ZWx/z1WMjMqVCCEBp6bUV2jrWJ00YvFKhF7ROFHOkGKfJlaSyDgwUmcEb2NAN1nuWOineCbS3iMqwMWnwjQGpaLRHa42QMJ5e9xcOvA6tA5utAEZPq63T2x6wBnwCjRN4t2nvBdJPK6zT98yZ448TMPN2dT6I305LkSoV2hcSiXOeYWNorKc0Bmd9ELNAJw8fhrGhJGp8sA1LhGShnVJkIZY4DO6FqvlyN6exjuVuxnI358ig5OB6CQSng26RUqQSSUhg6+TBwUDbMGhWJBIlBVLA+rgOEcndDAmsjCtGdejDrYzDLEJtHI0OrRtzRcodq2MSqdg1XwChjaVqHDvnc44Na1ZGNXOtlHamZtG+m8L35B7uyIOHKG4jkUgkct5yomdt2VjuWispMslyJ8P60GfZa4XkMOvhjtUJc60U5zyTRgOOfqnxOLwPNlp5IslUCHlIlUAAk8ZwdFRhrKfXkqwMLRNjGQ9LmsZR1pZUCLJ2irGO2jpqbZhrZ9RCkijJfDshk5KBrlkvGzIVUswqY1kdGSSeUnusgSy1WEJ11p3Q0Oo5Xm3d7JO1gCKIUQ9kAlIFDkEhoBZMPXAhSyVKCIa13SJsIVRvs6kVWKKgyKCTJKip4O1PNLWxmKnFViYkLnFIJXHaggzDXziPIAzHJVLSSiXtRDEsazZqjfDhBWSpIpWKxXYIrJg0BrxATwMecMGDuNTBJWEuVxxYDilnzgdRrZKQxNZKFJOpaM0TxUInY62saaeKfYttpBCkUnBkUDKsGnZ2Qz+ucY7dU2EL0EoVG2VNnopZ68nO+Tz0HgOpEvRa4cvSdj3ckQcHUdxGIpFI5Lym1065a33CRJtw2d77qQiDTq7Q1lMbT6+lODas0DbYTd21OiFNQpKWbiydzLNzvqDSjmHVMKgsy50M5zwKyXyeUtWWr6+M6I8NSsDaqKG2liSRIQDBeYyHlVEQVkpMrcWy4KM7qg1r42ZWeRxMGvy001V7h7WgAae3Cs8TsSfd9gRhmgK5OC6ArXZBbE79a42DVDlUqmhMEMObiOlxasJ+hQgpY+vjmlamaCUpY6sZlC5cus8SautwjmmwBXhnKU3w55VC4LxkoZ3QTVPWK01ZG2prwQVXBy8cE63ZOZdRG8cX7t6gbBzj2vC1o2NUAr08ZaGdMqoNG2MxHQBsIYVAytDjixCzNLVRpVEtwdq4xk8FdDdPmG8l1NqzMWm4uzTkSrOrVwCeRIZIZD1NRFsZ17NgDIWk1qcOmLUztW0Pd+TBQRS3kUgkEjmvESKIjT3zLUptcRYq7cmUZC5PaGUKKQXjyrAybLhjbYJ1HjO1xVofNvTLhjwL7QZZEgIIdnSyUCXMJF7ARm2QSpAKiZQC7zzGObTxeBfEkcGBC7ZcSSLYKDVeBHG9UTVUtcF4D54gbiuL8KHS2titVVl/by/8xPdgun/jp9VbF1oXKh0mvbQJwpUarLcotlZ/T3yuzefW2iEkdIqUVArK0jMxDiGg0g3aQaGmwjoNl+2lDGEKmVS0c8FiO2dYNYxKN6vqJonEA4mQNBYObtQ4J/iHu9apjKXRlsp6dnVzjo0qDg9LEhECOaQMVfC9Cy1aqWJUGwAypdi7XJCpUHk93K9ZaCUsd3LmWkloH2hBK5NoYxBSUiSKY4Oa/qTE+hDmADCXJ7SzhEEVEt5WRjVZora0IGwmovmz+ZAi9xtR3EYikUjkvMZ7poKnwLjNZDIx7cUMIQZr44ZDg4qDgzFzecbO+YL1Uc3dGyENrLKeaqJRcnqZO03YOVewZ77FpDEkieTO9ZJRbbls1xxqZcxGqTHeY2zwi5UKROMxPsTK1sZhtSdPJTjDuDL0a42w4IULa5wOhjU2VFJPFp1n/B4QKrqzVoWpyB02kDEVtgTxrKc3Tq4AS46LZGvBCOikinFtMcaSpimLbcmw1FjCJXolBAJHt5WghGDcOPIkiE2BYH3SsD6uCQFoCiGCL63zjqyVMJ5oPnPbKg/b2aU/aVgrNdp6Flop1nnyJEXbMKnmPKxNav75SJ9WKpECBmVNpR0P3dllqZORKEltDbt7OQ/Z0Wa+lc9eX20sDk+RBSeMLAl+vJ7QlyxE8M/ViUfK4Am81M6BYNV2orjdTEQ7IQE48iAiittIJBKJnNdsDpUpKVlo5QxrzVx+/Nebtg6H59CgBC/ZNV+gZLDIKo1ByVDhrY3BOMhUCArY2yt4yK4uXz4yIJWS+SJhZVBRNoZ2K+HujZJGW2oTelTbqcLYEGUrpKBuLM47xrVkw1lqXeMcJELQmJDcJZKpHLWEMIVvohK4+VBBqKZuUp/w95MF7SZq+mdzH08QyI21eG3xApQwmEQgpEQ4R5FIrPAoUqomuCOkMghbJGgdktQmjaeVSkDSa6UstlOyRIYqu4Oq0RwaVjQmRAp7QlsBeHbNtchTxbAyFIlg93zOqLR84WCfIg1hD/OtFIRkXFuK1LOr26KdprSycA5U2nJwo+TYsKZsDMY5Dm/UbHQ1D9nVDTHL4wYlBfOtBClgddgwn6eoRNBKFeNGM2+SWQvCpLH0im+8JSFai923RHEbiUQikfOazaGyfqWZayXUxjKsNK1U4bznyKBiVGmsc+QqTNYb6xhWhvk8Q0rB+tiiSGhnkofvniNVklRJvPdIIeiXQZhOtOHooYqNccPauGZU+nCJXYHxHu08qQRrRQgGUFA3Bm0dzbSJ1glPY6GeOKYdCkAQk6frsz0bPMcrsCey3bYT2awYS45XJLUBlQSXBQMhgGF6FCEF0guE8FNvXEdLhlher4NHb7fIyNNg7zWpNaU2LIoUaz0bk5BgliWS1VHNuA7es71OBg4q7VidNNO4YospUia1pZ1L0kSycy6nk2+6GDic9+ycy5lvZRzpV/QrjcDwT4eH3L1WhvaVXFFrR5qA8Y6jg4pWqpBC0EoleSpJRKgK71tqUeow6GadxzmPto5JY8mVpNcOzg1nI1Q3Y6Kjtdh9SxS3kUgkEjnv6bVTKm2pjaPXTumPNbceHXH72piRtmRCsjKqQlXThwpdv2woMonwknaWkGlHK0/JlMR4x20rI6SEYam57eiYO9YnjBtL2VgQkixNaDmNnrYUaBMGrBofmgTqJqSAGdyWloGM432tZttX880j2X7w7HScuK8jDKYpgq+uFBK8w3uHFILSBKcChMU7T62hnYGUipG1WAdLcymtVKFdEPjj2uBceC/vdJ5ulmCcJ5Me6wVro4ZhrenlSUg2s57UB2u22njwjsw6vn5sRKdIuHRpjm6RsNjOsM5TasvqKFiBzbcyeu2UjbLhiwcHHO5XtDJJe9pT3VhHKhVzRUqqJMvdnIV2RqokauqOURtHJ0/pFrA6atiYNIwbS5F4ekU6E7ZH+tUZC9XNmOjaumgtdh8TxW0kEolEzns2Y3SPDWpWRxV3bUw4NqpIEsEl3Tbg6VcNRwYVR4frpEoyqi15EmJlPRLjLKxP+NJdG6hp5dZ4S9U4Dg9KVoY1G5XGe0+eKFqZBB/8cbW11NNGV09I9zqdcG3O8Ws/sSK7+Uv9mxHNHqhccF8oFEgfzHGd9Tg81fQFOOtpptXmqoJCBPuyRIIznmN1iZx65I4qDdMktKG10xYER6dQLLaC80GaSNpFikQwqhq8h26mQjCEDaXkbhacJ6rGMiw13Ty0OBQexrXmrtUJe6YiUU4T4BIVWlZqE/qzizSkyRnvWWqnzBUJvXbGuDJ0VLKlnzZPFJ08YUcnZ+d8Ptv2jQjVzZjoXiudbYvWYvcNUdxGIpFI5LymNqGaOiwNo1pz29qEO1ZG1AbauaC2DgEsdVKODipGtcV5A9YxroOYGzcGiWOulTNpDHXjmC8yBmUTKrUItDNMao02weGgcZtpXwI/TUmrLeBO39t6rhGECuummD2XlWADjBvIRBB72gWbMgiVYednrcI4YDINfhAW+pXBC6B2tDNJKxUMqyCGCwnWOLR21AkkSYteKwQ8jBuDkA5tHXjPsGrIVEKaSXZ2Mtp5CHVIlWSiLYf7E/I0YVwbGms43NTs6uUstnPGlWWhk5GnklQp+mWDUCHYw/qc9XHDoBQgytB6UmkODyocnj3dgsY4Ku3IlWTnfL5FrJ6tUN2MiW5n24vXaC12boniNhKJRCIPCs52yGZQNqxPNMeGFWvjhlqHxw/KmjyVaGvZmFhKHRRsaQyD2jCsNa0soXQGrCRPgrNBiiBXCjJBbWqGTUVlUoSARAnGtaNqpjG4IvjBOh98dfM0DKJp56j9PbcAnEvuy9aGzdYJ56E64QWdmIYmT9iX6faGaZCEEFTeUztPN0/oZo5RE2S/l5CnkEo5axLuFimN94zr0MSRSMmocuycgwMLbR6+p8dtq2PqxmEUHO1XrEwqOlnGYifYlY0rw1cODymS4HtcNqENIZEOj6CTh/OqVySMKxM8j9c13sPu+YJkGtc8biyH1ksO7Oiwe35rFfYbEaqbMdHWOazzp5zj0Vrs3BLFbSQSiUQeUDaHbNYnDcYFU/3Fdnba3sVBqTncL/n60RGDyjCoNM756QS+Q+BQSqCUYLVfY51DKYUxlgQfol8bg3OCdipptME7h1WKw/0JQgQLMWND6IHznrIRTBrNNFkWT/CmLfW0mqnDkJq+H6u29zWbLldSQuKOi+jNgbWEIGZPfr0O0Brc1PPWe2iMQyaSxFikDA4EMkuRIgzgjStDowTzeUqvlVKblFwprPe0i+BX28okiZRoa2gVwUFhUlnaqaNuLBVh4G/cGJQUJFLSayluXRkxrA37F9vHX5sQIDxH+g3GWUpt2Zg07FvocNnOLkudfOrQoE45BzeFaiK39wHbTqg2xrE2bjDWImUYWOtk6cyDN1qLnVuiuI1EIpHIA0alLbevjlkbNTgfvF+996yPG5a6GZcsd4KY9NAYy/pEc8fKmDvXS9bLmm6WgAiCtV9pikSwXmoyFaymau1IpEDhOdivGWlDmiQ0dc24tlRaM64cxjuEN1gHRSaQMggaKQj7NA47NQrYtMmS8vhl+gZCeAPhF6vh3t0Jzgc8of1i0wN3k82/byfk5fQxwoVWDSU92oXKeDG1ElMiOFF4H9LFTG1wQtApUnbNZ4yrYD+WTC3Y5tsJrSxh70LBoY2KlVHNYGJIlKDW0C9LnBVctrtDJw+DYo0JX3J29QqO3tVnZVSypxcE7t3rE44MKjKleMjOLkpKeq2ExjkOrpd0i2SajHZqq8Cm9ZxxfpoAt5WThWqlLevjBus8lXH0WkG0D+sQZ7xjLg+DkN+EtVhkK1HcRiKRSOQB48ig4tBGSZ4qOlmKkmI2/X7HyphhZVhsp8EWalQxrCxSeJz3pFKinadswmBQvzbkScpcJjgyKKmMRVuLkopBZWmMw5hQ5astNNZhGhfsruS0xUCEqp61Fu8FE6cpjWPSTPtbp160m2L2ZE5sE7gQhO3m/08W6pLjwv5E1An/94Q+XWEhlwKBR6UKJRV5Kmma0N/Rn2gmjWWpnZGlknFjqYxlLk9Z6KQstDOs9QwrPRWVlsMbJaPGsNzKaJJg5aVxyKlrQWMdaSJJlKBIFEudlHFlOewnCKkop8+30Mno5KFvdr6VkyrJ3esTbjs24RF75qZtJ1tf44nWc72W5GRO9sDtTzSDSodEtFHJ6qihlUrm8pSx0zTGcdFCa+bAEPnmieI2EolEIg8ItbEc7lcoKZgrjv9iT5Qg9547y4Z+pVm6ZAnnPcbBsNZMasPhQUU7VwgB62ONFI5CJQxqjQQGtaFpLMNaszaqw0S/NtMKmiNNFdq4YOMlgruBt5BmIJWkth5rLZWBxhzXseIcedGeTyjCeyRPeO33FAZhCWltftqTvNhSeKlAeIQXKOGZNA7hYT5LGJQa7TyNd1gT0t4SCQudlP1LLdZHmkPDkn5pKFJB2Tich26WMNfJSJLQK93yYHEMy2DN1coSilSyPm4YVppBaVhod+i1UqyztPNQme1Xhh2dnMY6RpVBW88/HxsAMF8k7D5pmAyOW8/1S73FLWE7D9y1ccO4Nnhg73ybSWMY14Zj4xopIE8TFjvR5/ZcEsVtJBKJRB4QKm0Z15rFdrZluzaO1XGDFICAsjEMSo3zjlGtGZSawcQgESBgVBkGE8OuuZTVsSZPFAmCJFesjAnDZsZTqGA35TRUjcXYcOnYTSNwPeA0eD+tvXowUw/bzWqskODchdFycKZYgqjfbE24p57ihmmEsA1CWBAu03dSGDce7x219hRTe61urugWCSv9iv7Y0ko0O+YLHrLcYVIbblstMdYxqcNnHGJ3BQvtlMp4Ku3Y1c3RDgbjmiKXbIwmlNawq5PTa6do65lvJVTaslFpxo2lP6lZbKdoqaicpbGW24+NaRfB4q2xEu0sziesjzXZSb23m9Zzm4EM5bRivOmBu7mv97AxafB45lvhPG/nCb126OUeVZpECrLYjnBOieI2EolEIg8IwS5fzERiYyzDyjAsNUfGNYogdA9ulPRrw7gyHB3UeDyV1Uw0FGmCknDn2oSvH7U4QhpWN1NTY34RkrSkI8tShLbUjZ31RXoHyNAbqoP7FGZanvQWhIKWAt0EsVZ/q5VtmbYXTP++GUBxT2/DZkuCIQji2joSB51MTT3EoMgSEiHIk5AKZ5zHWs+uXsHe+RZSeGrnGE0M3TTh0uUOh/sVw9rSTYMgtmM9q8rO5QlKCZyFlVFNnglWx5pbVycsdYOIfsSeedbHhpVxzbixrIw1+xc61MYyqAxjbWjlCm1CMls3TblosUVt3LYetEWqKHqKBZOe1uVDW0dlLN18q9xKVWhncJlnVIcEu1i5PXdEcRuJRCKR+4R7s/bKU0knU4zrUBddHTdhql4JcimZNIb+pOHYUJEoOTvO2qgmlWrqa2upa4vEM9KaTCmcddRacGxY0y81+BAPO5holArWXQKQSuDwCAmZAjEVsF4EYTsN4aL8FmxFOB0NQZ9mbB9GsWkTtvmFZS4JQQxFKlhqF4y0QSlFNxHkqSJJBJVx7J1rkWeSBMHauEYIQZYI2kqSpiIkf3U8iWw4uFHRahKEgDQRrAwrJqVi92KLtVHNoGrYW7QYVqGXl1GDsYpWltAuJJcWHY4NBZPastBJ0VYxbgzFphcucGCpyyU7OxSpQklxjx609zQElipJkSi0dbS2uV9bR5GomdiNnBuiuI1EIpHIOWXT2uveYknzRLF3ocXXjo041K8wU1P8Wjtqa1kfNcy3ErJE4T2UjaVIBfOtlLvXJ2jnaLTlyKhGaxcSsKaT7FKK0DeLxzvQ2jKs3Ww9SQLeeRoNMgkiyTiPIbQdbFYo7fR2ZCuZAjvtTzi5TWGzhaMQsDCXYYzD4ZES2omaXo43DKeet9Y6Fjs5O2SONY7GOPJUsTyXsziXhVYQAXNZgrEWSxguW5zLaQFzeUaeitDPmwoWOmEwbWOsmSskAshSxcqopqUkS92ch+yY45+PDLl7Y8xSu6CdKVqp5NioYd9im0dePD87V78RD9rNL3baOhbaYfhsWGmK9Hh/bqWDLVqvSKMF2DkmittIJBKJnDPONpZ013zBsDR8+fAApWBchz7cIxslhwcNxuf0K00mBF6J6fS6QFvPqNH0JwYzvaQ7qhrGtae2Atk4cgXj0jCuGxoL0wJx6KE1QYRZAAPG+C2VyHMdkXshoYBy2qPcTaA0x9sW/An7JCr4uzoPtras+govoDKOVAnm8nTWd+o8eOeYb6UsdVNSGeKQBSmZkjgTIiVWhg15InEuiGIlg71YN0tppwkY2NtrMddKmFR26pzgMdP+3DVbUWSKpW6bi5fa7OjkDBtNv9SkSrJ3vsWjLp6f9cfCqdZecPqrEtt9sbMOMqXIEsm4MVTaI08Yolzq5NEC7BwTxW0kEolEzhn3FEt6bFjBAPb0itkv8yJVXLzUYlBpjLOMKsuxYYXwgjwJaWPGQa0drURipUdrx7DWVLUjS0Jrg/GecugoG0O3yChSGJaGRjsqHXooDacfAoti9sw50QJsbLb63yqCsPAEl4lxbUhlaP8AgfCexlpckuC9CVG6UmK9Y60KvaepkqRJ6NEd1pquTxg6i7GOI8MK4TydPMVZx8qkYVga5lqWh+6QjK2nnbWx1uM8TIylkyTTyF7B2krF+iR4KO/o5DxyXw9tPEcGJcdGDZfv6LLczbe83hOtve7pqgSw7Re7SWOpGkOWZOzs5sjpEKNxfouzQuTcEcVtJBKJRM4Jp4slrbRlWBr6ZcPRQc2kNixNJ9mLVNHKFLvmcxDw5YNDHIKdvYLGOxrrkDY0vU60ZayDcwLehyEkDcdqg/EObRzWh1jeshGUTbgUXpl7nvCfzjhFvgFOfl83B8kUwTvYWmia0NeshKOTSyojqI2jUyRUTRgC9E24P1MZR/oVqZIopei1FGKhRTdTDCYabz2l0dTWoySoqTjMlKT2UNUOYy14iVIC23h84mcpaXPtFAQc7lc89tIlMiWRYupk4KGxllEVqrhSCjYmmkwKWpm616sSCLb9Yrdrvpi9Od57tNveWSFy7ojiNhKJRCLnhO1iSSttWRnWNNbRzhKksGSJnAmCxU5GlkgypVgZVRwdVnTzBCmCT2lLgDYW2YJD/YpqHARv3Vhq4zDOghcY65BSkCMYNiHYwRP8a++NKGzPHVPzCRogc6GfOUvD5ftGu7CHh0RJJrUJn4/wZImitg410ahWymInY1A2bEwMS60UnyWUTejTTZDIxIdn8p5Se0oMG6WmmyuO9DPmWikL7RThBR7PRBuM8Sy2UvYttEkTSZEkDCuDFMHPNleCtYnm9tUx2nqc83SLsJZjw4qyCR5wO+eOV3aPX5Wo2Zg07O0VNCZcUTiRxU5GrS275gvSE4YjI/cND+h43t/8zd/w7Gc/m4suugghBB/84Adn92mt+aVf+iWuvPJKOp0OF110ET/+4z/OwYMHtxyjrmt+7ud+jh07dtDpdHjOc57DXXfddT+/kkgkEomcGEu6ybA0NNaF/kIhkEpOPUMlt62O+dydG3zt6IhRbTjULzm4PgFvqbSllYShoP5EszJsWBs1DKsGa0IlblJrysYy0YbKOKrGYp0P1UK2T9CK3PfMAi8ApjHF1oP2UOtguVZpy6SxOOdwxqFESBLTzpGmoeqappJ+bbltbcI/Hx2yMm7IVXCzGNeOQVlT1XbqegHaGqSQHB5U3Lk6Ybmd8Z2X9Pi2PfMstjOWuhmX7ejyqIsX+La9PS7d2Wb/UpudcznegxeCixdb7F9q0UolDk+aCOYKBQKODEpG08jcE6mNZVxpbl8Zc9f6hIP9kmPDest+iQz94qmSFKmKwvY+5gEVt+PxmEc/+tH81//6X0+5bzKZ8NnPfpb//J//M5/97Gf5wAc+wFe+8hWe85znbNnvJS95CX/yJ3/C+973Pj7xiU8wGo141rOehbVn8HU9EolEIueMzVjSyXQKvjaWcRNM6mtjGVaaTpZQGcOXDw040i85tDHh8KDk7o0J6+OG9VJzV7/iUL9io2zo5glLnRRtLZU2DCpDo0P1d77IaKUKbaFqoLYwqO+5BSFy/5ASvux4Qr+z8JArUEn4u7ZgvUcbRzPtS9XOYZxnMGmYNJZSe1pKMd9KMcazMbFYgjlxYwy19jgB2VTJOMIQW6+dUFvLpLYoKem2Ei5ebHPlvgW+45IFFrsZrTSIzCJVlI2btROkSlJrSBPFJctdvIdhZUmkpJ0nOOcZlGb2OmtjOTasqYwlScT0KoRkWOktAne7obTIfccD2pZwzTXXcM0112x7X6/X44Ybbtiy7S1veQuPe9zjuOOOOzhw4AD9fp+3v/3tvOc97+HpT386AL/3e7/H/v37+djHPsYzn/nM+/w1RCKRSOQ4m7Gkx4Y12lgObZQoGbxM8yQM9Xz1SM2o0ezo5JTasj6uqYwjU5LlTkapDd4LjPXsWyoQwJFBQ9lYlBe02illbZg0lsY5EhH6PI07bkMV+2gfOHJCtda7aTgGU1E39Q+uTbhfm5BkJhXU2qAktDJo+4ThxNA4R5YIJjqEIMy1FFpbnFRYa0mUoNbhS48XgkzK0DqAoJ0rjo0rDuxo02tl9NoZ862EPFH0Sz0bEDuxT7w2lsY4+mVDZxq6UKRTD9xUTi3mguNBz6RkiWRQGhrj6LUyJnV4/FwhSacCd1Aads6pLUNpkfue86rntt/vI4RgYWEBgM985jNorbn66qtn+1x00UU86lGP4qabbjqtuK3rmrquZ7cHg8F9uu5IJBL5lkLA+rjh9tUxRwcVy92MixbaFJngn48MuXO9ZGcn49ZSszbRtBJFK01YLyeMyoaVUYP1oKa9u8577lwbM2kMQglq7RiWNYPK41wQSvVJS4jC9oFh0ylh05aimcb2ummL7GbAw6Z3sBTH44wbC7IBUzjGWlMkkkaHloa5PEU7x6r1WGuDO0ZpyXKJ9IKFTkoqBBbHofWSnb0CJSTDynLpjoylThaGv0pNriStTFJpS20spXZM6ml7i7asjGqWOzlzrTCoVmkfHByUpD9pQhKa9zTGTYWvopza3IVKr6aVKvJEMiiDD8dcnkRXhPuR80bcVlXFL//yL/NjP/ZjzM/PA3D48GGyLGNxcXHLvrt37+bw4cOnPdZrX/taXv3qV9+n641EIpFvNU6cJu8WCfuWWix1MtYnmsZaJmPPsAo+tmVt2JgEf9F2Llhs5yQyDJoFkeHw3rFRNjRNqNJmmaKuLf26ZNL445XaqGQfNDimbSE+VG2NAaVCjPGmiN20wmplYQix0pAlkItQxbXW0wg3izurGk1jM3pZylhZylpPI4CDf22nkDTGYaVgLknIs3CFYKmT4r3j8EYVni+V5EkIdTi4UU2DFAx3r5d084Tlbk6qJKPKsDKqGNeGXjvBe8HaqGFSG1ZGNbXxFElCr5XQGIu1jjxRMwuxYWkYNxrrPMPKsKObs9gJrgj3ltoXOTecF+JWa83znvc8nHO89a1vvdf9vfeIe2hsecUrXsHLXvay2e3BYMD+/fvPyVojkUjkW5VNj9tWqlifNPRaGXNFqHrdtjLGe8e40ZS1ZVxbuoWi10rZKBuMrelkoX/W+9Csqa1nWNYIBF541oYNzjq8CIlVMbD0wUcKII4PkXmmDhqEz8x7UNP/ew+NhmQaf8x0+6QxdESK8Y48U3gH48ax3MlIEkkiJZ1k2obiHcZKUuHxCIpM0s1D72wnD722WSqDnVeqWBk3bIwblAQhBKvDmqODmroVnDuCw4anXxo2Joa7NjxLrYyd856FdsZO7zHWM6wNg7LBecHOuZylbjaz9CpSRVFJVoY1Ynq8u9dL7lgNLTqJEqdN7YucGx704lZrzY/+6I9y6623cuONN86qtgB79uyhaRrW19e3VG+PHj3KE57whNMeM89z8jw/7f2RSCQS2Z7TVZ5O7F20LtgoJalACMlcK6GVKQ5t1KxPNEIK0kSy0E45tNGEx1g4Oq7xRtBOQWUJk7HGAkvtnDQJ6VTBOgrsvXjXRh4YGqDloZUK9NQ1o9IgbLAEw4EVgISJDn64ecLUszZE6EopaJyj1DAvBb22QAqP847FdsKwamgqSSsRNNqSSPA4lAxV10zKUFW1nvVxg1Jw69ExtXFMas1CN2fXXEE7C8+11E1ZG2m+emTIXJHi8WRKMmosk9qQK0m3SUA0zBUpO+dyBIKNskFrT6dItgjUzaCHYWXYOV/QLRSH+lUImygS9vT+/+z9eYxl6V3fj7+e5Wx3qVtVvfd4vMU2kJjtRwIRm+1AIIEsJEIkRBEQIRJWAQEFJSKBSAkIlIACRnKkSLGUiJBIARQcwGaxAcdS2OMv+9ieGc9Mr7Xd7SzP+vvjuVXdPd2e6bZnprtnnteo1F333q4+d7rq3vf5nPfn/a7RSn7M1r7MJ84DfeJ7LGwfe+wxfvmXf5lTp07dcv9nfdZnURTFLYtnly9f5g/+4A+eU9xmMplM5t44thw8fdDy1EHL0wctV+d9Cq/n1oxb6wPOB1qT1rsKJZnUinGlOTUuOD2qGFcaHwU+RgTQ+5AEwWAYPBy0hm4IeB/oTGojK6RIj7UwxCxuH0QiaYHMhpi8toHNlDQtjw0+TVxhY1EgJScYD8ZFNFBozbTSjMuUUZuWujzPHLYs156zk4qdkSKSSjpaE1j1gXXvIEbObzcUSvHUforlujLvuXzUcumwY2Ec1gWWveVgbXAxcGqcbAOHa8uit1Rasz0qOd0UFFowaTRr6xCbKW2lU5XuzqikKSWQvLzWB2KMHKwMB+vUgnZqUrLs0wnhhe2GCKx6T6Eks6Zg2HzfZ15Y7uvkdrVa8aEPfejk88cff5zf//3fZ3d3l4sXL/KVX/mV/O7v/i7vete78N6f+Gh3d3cpy5LZbMbXf/3X813f9V2cOnWK3d1dvvu7v5tP/dRPPUlPyGQymcwnxqKzXDnqMCGyPSpua2Y6N6sRApyPXD7qMd6z7B2tcZyZ1CgpMJu4pUmlWQrPKCpKKYkxsDKW/fWAsRBiQGuF86lNatEa5r3FbRZ/XMii9kHm2BBoTPLZagGTUjD4mP59RRK7kDy3LoAP6fGFSvdtyVSvexQiZaEpVEpJWBlLpaEWkoBkVCjGkxrjPDakSDAlFFpKBh+w3mNdpNKSrVGBXaarBPPOMioUQqR0hUkF40pzbdlzZqti1pRIkeLrvIg8st2gpSRsosuOr1yUSqKV5Oy0oreB1WCZu+QTPz2tODUpEYiTpTOAplCsjWXLpeSGUalYDZZtl5MUXkjuq7j97d/+bd72tredfH7sg/3ar/1avv/7v5//9b/+FwCf8Rmfccufe+9738tb3/pWAH70R38UrTVf9VVfRdd1fNEXfRHvfOc7USp/k2QymcwnwvHl1Sf21yx6y9amVvQ4UmnWSOZdKlmYjQrWg+OwNZyZVpzbqnn6aM2fXV0CkevLnmtLg5aCrbpgVCps8JRK0eKZ1SVrPK0l1acKEFGgpUKEwNIGjE0LZPE5jzpzPzmOYFOk6t1CQ1koXHCYzf1y4621Lonb41YzH8CHgHGRg7WhKSWPbI94ZLtmb2mJMlIIhdJwcTam1IJry5ZKa1oXCD6yHCxP7K24sDPi/KwmikCIirrQlKWn1oreRg5aw6tPjWmH47rd5PNubipYWHaWWVNRFxofApcPe1adpdgkIZQq5eTWpWI2Ktl2BZ3xEEnCVgh6608sOpASQMLGbwzpSkd30+cPGw/qgtx9Fbdvfetbic/xL/pc9x1T1zU//uM/zo//+I+/kIeWyWQyr2iObQjLweK85/S4BCFY9qmh6fjy7PHkybhAXSp2ZUlnPVKAlhIp4Ym9Fus9McC1VcdycJwdl/TeIxVMKs1BGxAyUioBUdBbS29SMP4wJIEAeWr7oHP87xOPPxzYlUtiNqYls5FIZQs3dy0dyyIfkgBUUjAqC5SMzNcORODVOyOUUqx7x7hOoWP7a4nzAa0UUgbKOlkGhIiMSsX1pWV3lCwEq84ybL5P14Mj+EhTKmKMXJkPJyUL1gd66xnXmkldcH3Zs7ccOOos52Y1oxCxTjI4w9lpfSJMj8VdXUhciBRKIEXy9R5/7p9V5vCwljscn/iuBkuIPHALcg/8Qlkmk8lkXnqOkw+mdcGyd2glEULcFk4fNvYEheXUtKa3aZp76aijt55SSepCQgjs7pacmWmuzS2HraV1Di0jy8GzvxhARcalpB0c695hfbqkvDYeY3Od7sPEcTqbJQnWghvCV25qmssCgiUlY5Cay7DQ9o6tcZkEXxAsektTH9sTQhKoPvlcASZ1yXajmdSacaFZWUdnkjVmXEm2moJxpdkdV1xe9nRD+t7qrKHbVDkPNgnkp/Y7zs9qdsYVW41mcJ4/umS4NG959e6I3abA+Mj+2jAuFVIK5q2lniVBd9zSN+8ts0ZSasm41Cx7S6EknfVMqxsWhIex3OHmyL9Rqe5oU7rfAjeL20wmk8ncws3JByGmyZIPEa3SeKkuFEftgPWBzjgWncOFwGFr0UpsguwdMkYuH7bMW0fnHEJKykJxepIEy97asuo9UkZmY81gA8FFhACtJOvBsRo8kTyxfZgJ3Fqy0TrQLsV/HWfeQvLrljqVdhjraZXkQAxsNZoQPPvtwPa4ogwSpQRNKYlRsxw8dVFxelLRlJqRVcQInQlcnI1QMpl8tyclNkQuzdfECM/MBxqtOLdV8+dOTxhXmiuLtCRZF6lG9/JRh3GOR7fHjEtFawNSCs5t1UD6Xl0NllGvKJREiBstffMu/QxN63R14/JRx7TWTGqF9YHWeColH7pyh+MT31lz47gLJW6xKR2L/ftFFreZTCaTuYWbkw+EkIzLguVgqWMKzjfOs7c2+JDEyazRXJq3HLaGWqclm0VruDTveOL6ikIJmlIzeM9q8Pjo2V8NDDYwhMhWodgZl1w+6hkCKCnRMqJl8mSah9SPmLkzgRQZ5v3Ga0sStlqkCDGBoLeOSktCKYkBYpAIJJVSxBIG41PkXEw2gpVJ09j9w5Yz44qmkLQmoIuUKXs8OW1KyXZdMVjHqCp5zamGs9OGaZPivHYmJU8fdOyvDIMNzFvHqXHFq041SCSBiCRF2VkfWPWWRWdT0sNN+bXbo+JkySxEmNUFk7JASYH1ER/SxPZBuYx/t9x84nsnHpQFuSxuM5lMJnMLYnPZ+NgnWBWCS0eOZ4YOIeCoNbS9ozgr2B1VQGTdBxaD5enOUmqF95HgPSYE9ltLowt2Q6SUgv3NcllZRIiSaVUQQ/LopkvFjqH3WA8uC9uXLcfTeEHKuhWbz4SUVFIShEBJiQ+R1WA4vzOhNymFw0U4XPaAYLtWSCF4an9NiILBeiqtaLRi2VpCHZFC0tskQs9ul9RqxNmtmnG1WTbTabpbacWrT41YdpbdSbnx3yqUSCdtNxNC5OqyY1xoyt2GcalvujwvUytZmTJxq0JS6Ye/oezmE9878aAsyGVxm8lkMplbuNk3WOnIonMImd7Vri57PnJ9jRSCGAVH04HrC0MEDtYdaxOZFBLjI3urgcPlwEFnGZWORTfgI6yGARugGARSSI42tajzzrDqDYOPdGZTrZt5WSNIjWXHmbfGBVQRGSnJVlUwKRQ2wOAD1+Y9O6MUu9VUyTJjfKAuNdcXA1u1YmdcUxWSwXm2ioKtusQR08mTSjXPQgQO1qked1Rp6lIxLvVJCoiWAq0kTaGZ1jpZHKxn+ixxe9gaWhP4c6dHTKp0ib5QgkpHLh12XJl37E6qm5at+LimtA+SIH72ie+zeVAW5LK4zWQymcxtHPsGLx12rAebJjECrIuMK8WpccF6sDyxv2I1WGqlaI0lBMEln9IN2t5y1BkiAhsCgwmsB4f1aXO+EBEIHLUOIUiXn0lTn+yxffmjSMK21CR1G6EpJFIpykpSKsFqCNSF5PxWgw+Ry/OOwQWUrJjWNUoETIg47+mspOgtUhYoIeis58mDNdNac7g2aC25uB3pB8+8N2w3JVIK6kLdkgIiRbIXVEWq8m2Np4xpkbIpFEqmiK/LRz2nx6l695jeevaWAy4ElBRUWqals49j2epBTCR49sLcs3lQFuSyuM1kMpnMbdSFYlwpXIgsBks3BI66gcPW0BvPRzrHaiNeCwQLYRlCpFIw+MiqdyzaAYRgVhas+p7FAG6jWj0pFqoRYDZZpxt9A+Qs21cCHlAxTWzHtUaQYuE6F3A+0jqHMYGtZkyhBK1JArHSkkJJEAEtFAfzjpXxdENAKsGj9Qgh4JnDVCgCkd1RxaQueHJvjXMRqWE59LTW40Pg1acmJykgpZYnAm02SiJz0VukSF5gu/n+njaaN5wb3yI0l53D+MD2qGQ1OCJs2sjubdnqQU4kePbC3PGxPUgLclncZjKZTOYWjidG+6ueZe/o+pRacGU+oJVgZSxXlz2dCRysDEJGpmWBFGA22Z4xBuZdoFBQSLkpZ0ii9Wa7gY1J2B7nomZeGUjSyYwAkClhw4fIok/JG1oWLFuPEOmyvNxckj9qDVJKBJHBhnQFQCnOTQta4zDWAYLDje1AScGic7xqV3HQDogomFQSJRSLzjFfDxy2FgFsNSVXFz2v3hmdCLS6UCdCcjVYeieRCC5sC6xLtoZjBudZmzTddSEiZfpZOOZelq0e5ESC4/8nx1PlbjNVfpAW5LK4zWQymcwJN0+M6lIzqSRPH0We2l9zeWUoJVxfGwYTCD5gvSUasC4gkYzKdNm2cwEfwAYI3qZfud1ukH21r0wCKft2dywJUtKbZFeJQCNhUB4hFI0SHHaGWVMwawoWQ0H0aZKqhAQh0AIqJQla0trA1UWLCTBtNJ1xhCjo+4BWqVyhtQHpYHussVbSWcdj19Zc2HLsjivObFW3CLS6UNQzxbYrbvG+Xp33t1yeP162UlKwGhzTujhZVIO7X7Z6GBIJPtb/kweFLG4zmUwmc8L1xcBisGw3ZXpjFoIrRy1L4+mtY248i8EiSQs1vYUQoBKBUqcGJkvEWocgidl1eJ6/NPOKQwCFAhsjNRErQMhkUyhKRakkTaHSouLKQIBPvrCFAjqfIuKEBB8911uD7i3BBTofQERONxXNpGLZWrSEznt2RyUHa8t+PzCpCgot6J1HKYGMkbVxKCVZdi6Jt2dNIJ8t3p59eR4iIQSOWsOoSgtqN3O3y1YPSyIBPFiC9mayuM1kMpkMvfVcW/Z8+PoKrQSt8YxLzWA9y97y5P6awTkOW4OWEoHAuoB1x9vT0Ii09u6tY9lGzP1+UpkHlpL0fbPuI06nwNtCwbgsqUqJ98mmYJxDClj0luvLnpXxKQosBM5NappCUghYGo81Dh/hymGPdRFHAFK2LUJQaUFnHb2NzGqJANaDY1IpHJFCp0axeW8JMT6vr/XZl+dDBK0UPsSTeuqbudtlq4clkeBBJovbTCaTeYVzbEXYXw+EEBnVGhfgTy7P+e0nDvjDSwuuL3qs9xgHlfIoLZESlExeWhmTULARooP+fj+pzAONEOl7R8q0WBgcjMskLrUUGOvZ7ywhSppS4ANcWwwoJYghFTfYEJhVNacmcHRtQRSC7ZHGOk9rLNeWsFUVXDgzYlqXHPaGSEQLsNGzt3IUSnBqUnO4Nmw3BU2pmNaawQWuLXvOTuvnvOT+7Mvz57bS1+ptQArxcS1bPSyJBA8yWdxmMpnMy4SPNw/z2qLnmaOOEAOHnWHZWw5bxxPXl3zw6UOWraXQScRqBcaDiIFCCdTmc+chivT7tJ+eyXxsXIRo0veT2zTdORcwLtC7yGA9nY0UyiNEivZSWnF2XKaEgxhQSqKFwEZPU2tGemMFiLB2jlortkcFs3FBoyRX5p5FZ9FS0naepbVs1wUfvr6kVIpn5j1SwKjUSAStdRuLgnzeCK7jn7e6UGn6+wkuWz0MiQQPMlncZjKZzEPOJ5KHuegMT+yt6GygkAItBM8cdTy51/Kh6wvWQ0BLwWCSIHFuc9mU1NBEhFKB3YjavCCWuRuObdiD3zSUASsDXhgKpYg+IGLyc0sp2Ko1O+OCrXHJyAfWg022mJDKe19/aoIP0FSSWivWg0MKwYXtBhEFMUZaF6i0YndSMioUh62kM54AbNcyZeHGyOBga6Q4PUkNZlrJe4rgeiGWrR6GRIIHmSxuM5lM5iHmbvMwP9ZU96n9lj+8tMD6wGJwrFrHUwdLjjrLoksRSTaC1hLlPCaC38QepNClFMafRW3mXjiOf+P4V5HsCe0AhfKEjbBVEfrBMqvTpNKHQKUURgYikcEHmkIxqTRaK85MS5SUtMahFdRKIoTk7LTiz0dJXUmuHPUYn34YjosWjBecGhdIpVn1DiEFTeFRUn5cObXwiS9bPeiJBA8yWdxmMpnMQ8zz5WFeXfTUWt1xqrvsLb/5xD7PHK0ZF+lSrPGOee84WA0M1iOlJBCRCKQUlDqytjcmb8/Orc1kno/jso5jcauApoTKQ2uTtUXJTbFHAEdk3hlKIZHAqYmk0IJRVVAWKn2fasmpacmkLmgHT6M157crjPc4B73zSAUHS4v1gVJJvI+AZFxorI9sNeUme1cwWEc73CokR6XiYD1Ql5K6UC+Z0MyC9t7J4jaTyWQeUp4vD1MK+Ojemp1JxfaouGWqO+8Mj11d8vj1NTJK9tcGH1O9rhYCoQArIEYk4In4GHHxhrDNZD4enu3HVqSrAUqB3sR8hbC5KqCh0SW99ex3A0MMLHrH6XHJ9qzA+Mjh4AghcHFWs+xTVfTuqKQuFdf2B6IPaK04NS5pCo85cljnMc6zMypBwKTWjErN2liMC+yOS4RIV0ZKLRlcsv5cXw6pWe8ufLiZ+0cWt5lMJvOQ8nx5mN3gWQ6eczOxuawpKJSgLiK/+8Q+/98zc4z3FEpybTGw6AaEkhy0qaTB+ogNN6KJhIA+j2kzHyc31yvfjCUtlymZvNzHVwNKoFIQosf5wFHnMTawO6k4Na14zekplw7XdJXGesEzhx1npxVnphXjSvP0QcfRyjJtFFIKWhPQQjKuCowKuNDhQuDspCFu/jMuUmvF7qjAxHTMg/NcXw60g6PSgmmtUPLefLiZl5YsbjOZTOYh5eY8zBDDLb68ZZ8WxQYfuLLoqQrFuEzb5NcWA/urgdZ6ai3pXbrsuzIe69ICizGR3t+wHCg+tjjJZO4GTRKyz0aRMm4Hf6O5rJJpURFSzS1EYoCqkGyPSwopQERed2bCzrhkCIHz0zqd8AH7a4uIsNVIXn1qjPFp4nv886GF4FXbDSvjmTYFs1qzPa7QskMJSUQwKRVVoZh3aZqrlWRaFdRFkk4PQhVu5s5kcZvJZDIPKZVOm9xP7bdIyYmntlDpTfegNZyZVoxKRYiw7C37q4GP7q9ZD47gIi2Rpw/XzHvL9qikGxyd8Qj8LfaDZ9fmZjL3yscStsey8PjESQoodYrkMiEiBAQPpZRMmgIBLIfA4dqwOy4BiSLy+jNTlBTEGLAeeut4+rCn1JKq0HRDysYNMRIilIVkvRgw1tNMa4z1zBqNsYFFb3nTrCbGyKIz+BAZlZrps1rHHoQq3MztZHGbyWQyDym99QzW0zuPloJxpRHAh6+vuL7okUqmMPqFQUqIIfL0Uculw5ZXn5owHRxP7XcctAZBpB0s1kekFEgF0md/bebF4fgqwHFFswg3RK5WaUKrpKQSAa0lwkQmlaaSCrtp6IpECiURwiNI6QJ/7uyEVe/48PUVgwvMW0NrLIVWhBBYG8vh2jHYlNNcaol1noN1quSd1prZSFIpyVZdsNhYD85Marbu4K99kKpwMzfI4jaTyWQeUuatBSH4c2cnLDrHUTtwsLZcWXSseoeSqWJ0pwn0LvDMUcu1Rc9RZzlYG4wPfOTakmurnrDxFwpgMBBltiBkXjxKbuQia5I4VKSTKSnT92E7mGS1sZsEAx9YGMeZsqRQ0A2R3nnGdYGPgeuLnllTcG3Rsb8euLBVc7gyfGRvRVkoSi2QKKZVpFCKQkc++fwWZSFZdA6lk7H89Ljm0d2GulQMNqClZFJrCnV7W1iuwn0wyeI2k8lkHkJuTkoolGSrgdVg0VJQKIlWcLDseXJ/Te8DBTC4QAyB/dZyuOxRSmE2YfnepS11z8aCkEe2mReRgeStPQ6wEwKEhO0ShBKbpjJQAiop0DLVOzdaIaXCRVgZS6VGKCUQTvDHl+c8fdSmBj0RELARtWnaOu88Gs9sXNBbSykURSE5P2vYqh2zpmBnUuIDHLWWc4ViqynojL+lCvfmzOjehlyF+wCSxW0mk8k8hDw7KWFvabg679lb9PzOEwdcXfZ4F6lKiQ8gYsSEiCTiAnQhslx2DCYwOLAhCYmQx7WZl4gAVAV4m4pCypiKHAqhUdJSbAalZSEptML3DiUEF7dKlJYUitQ8ZgKttfTOsytLzkxKnj7q+ONLCyaV4tWnRyzWjsPVktQ/Enlk1rA9LrEhpSM0m6KTQkkmlbplUey4Cvfaosf5yOAc1keMC2yPSs5Nq/v5vzFzB7K4zWQymYeQm5MSFp3h9z56yJVFy1PXW/7s6hLnI5Na4fqIj57BRsZlweAdPkI/ePbXAc+NQP1Nm24m85IQgcHe+L0NsOqhiZa6UATlMR4641Pt7E6N8/DMvOfUqMKVkWurAYUEGTk1qdBK0m6yaXvnuTzv+CQpOD+rcXFEbwIXdmpevTvhYD2ACwQipZTp+3/zA3DzolhdKLZHBdeXA/PeUurk1Z3UBYWSHLWWqlA5DuwBIovbTCaTeQD5WHW5x1RaMakKrq8G/uzKgqePWrrBsTQWrSRaRmwIGBsQAqyPtGbAOFgbx2CS/eBm90F2ImReSo6/30pSxq2WSeAen2SVSlFpQAi0lGxXFddWHb31zBrF7rii1JKDlUEKyamR4qi3lEoyKjWv2hlhXeDqPE1cBXBqUvLqnQlaCayPFFoiEfhneWefvSjW28DWqODcrCbEiBRJ4AInU14xJtfkPiBkcZvJZDIPEL1NTUh3qst99mRoNir4yPUVH7q2xFnHwdqgENSFQglYD5a19cQQCTGy9Ek4DD5He2UeDCqS11YrKAsBLolQLQWjMi1xuQhdCMjBURcKicSEgFSC1jq8D0gd2VsPBB8otaYuFNNac3aroneeSV0wGM/2qGJca6wPGO8ZlyWFluyveib1jQrr1nis81ifTg5v9rc/GyXhib0Vs7ZESfGcP7OZl4YsbjOZTOYBobeeq/OewQdGpTqpy72+Gpi3hvPbDVvNjTfgZW95cm/N/tpwtBp4Zt5RENFS4nzy1koig0+jMOPSRCwL28yDQiCdwNkAejNd9SH9LBRCIRWMColxG4GpFdOpwrhIbxyDC9RFwc5E01nPbFyyGCxX5n0SsS7Qm8jVeUdRCIwruDrvKHUqZDA+8OTeGhc8AkE7OEKA1jq2m5Jq0aOVpLeBcXW7ZBqc53BtWPSOU9OKSaVPKq5ze9n9I4vbTCaTeUCYt5bBB2YbAbvsLUetZbCeeed4+qjl1btjtkcFPkb+30ePOOwsp8cl01JwfTXQWY+1PtkaSOLYpC2aVHN6X59hJnMrlpSnDGB9WmrUwNJFrB+YRI0rNd4FIiArjRaCSgtGVYEJBh8D1gV8SF7ZSVVwed7x+NUVWgnObtXsjgo6F5BSsjKOXVUya0qePlgRouCR3ZpKKS7POw7Whu264NSZgqpQHLWGg9VAXUomVXHL8S+6VHqy1WhKLU8qrnN72f0li9tMJpN5ALg52mtwnr2l4anDNevB0rtI11taE/iDp+bUpUQqiQ9paaw1giEIplWBDdAag/GeEATRg4opeikL28yDiCTl2lpSWoISmysMDtadY9k7xoVk2pSUWlEUqdeskILXnp7w0f2Wy/OBUksGG1AysGgNR93Ahe0GARgfKKTg7FZFpSWnpzUxQKklpZasjePacmDwkdeengDpSsdsJDkzrVl2jqvzgcnZG+LWuMDapILqcXl7HNjNS2mQ/bgvJVncZjKZzAPAcbSXD4G9VYr1si4QAixaS28c68FydlazvzYcrgyvPzNiMHB53jFfW4IgTbF8IPqIJGBIl3mP26CywM08aHiSwD2mize8uEpLtAAhJYjUNDIpFVIk7/jZUvO6MxM+fG1JISTXlz1LY1m2jmldcHpSsTUqWbaWcVVgXEQQOVwbSiU5u1VRKEnTK4z1nJ5UjCqN86nNbMtpKq04s1Vx+bDj+nJge1SgpcA4z6Kz7DTFbbW8kHzDRzZw5ajHhfC8HvrMC0cWt5lMJvMAcBztdbC2HLUGFwIuBJadRymBi3DQOhAG5wOXFz2RwGxUsugdLqY3fRcKFquezga0gmJTOyZJUzF7v59oJnMHnn3SZQE8NFWk1gVaiZNlrv3WcG6rpu0tR61CCsHpaUUlBVeXPW3vMTYQQ0y5tDbl0SKOU0gCg/MpOmyTE62VQCtJUybBqaS4JRpsUml2JhXTSjNYTxfB+cBWXbA9Lu8oVFeD43A1AJwI4uzHfWnI4jaTyWQeACqtiBE+cm2FELC3Glj2KZieCNeXBiUEi86ihaC3jqePPFcWA1qJtIAmFKMCJnWBQ6CkwFvH3MYsbDMPBJobk9rjxcbjnOXj+4+vMAigkBqlQIgIUbBdaySCzjha6/ExWXOsiyxFSlgYlYo/u7rGR8m15cAuAS0bQgwseseslAQhKJWk2TSYSSGQG/FZqBvRYM4HesCFQFNIzm/X6Zg3FoOjtWXe3/kn6/piQCnJmZtKHrIf96Uhi9tMJpN5AOitp7We3jpqLdFKEIGD5YDxERcChRD4KNEaai25uuyRQlEVklIrzswKil7w1D4IAus+0A/Q3+8nl8kAihtC9mMldniSqNUkAWmcJW78tYOwrG2JEIFxlbJsZ2PNqnMsBs+0VsyKilIrzm55JqVGSlh1nlJYTk9LQnSsrKc3ASkEh63j1LRkXGq0FCmlQSXxSUwnmSFCOzjObTXEyC3T1tloE9/X2VsSTo5ag/WeR3ZHd3yeN/txswf3hSeL20wmk3kAuL4YsN5zcXtEiDDvl1ybDxx1FhC0vaWuNZqUfqALRSRd+uxNZN727K8arAsctT2DgdblaW3mweHYV6tIIvZOAvdY/B4neygLwnqEhNpKvO/YHRXoWcPgAntLw+ACxkUIEKPh/Kzh/KwmhDRZHVxgORiMdxx1lkJKxpXCBk8IEmM9xnqUFLgQeHLf4Kxna1QghcKHwLjWGB/46N76lki+ulCcm9Un2dTdxlc7rQsEgnF5Z5n17JKIzAtLFreZTCZzH+mt59qy58PXU2zR4AKr3iKFolAQvEDJyMo49lc9ZVWw3RQYG/AOQnA4kba9O7cielh0YGPOs808WBzrOCVJ8XR38VjvQEooBVRSsDYOGwJlseY1p0eUSuJcQIqID57LRxbnA6NCpwlx9Kx6y+FqQGvFpFRUNZydNoxKRe8Cp5VEiBTrVWvJpNS0AupSE4CqUAgENgSePBw47CyvPTU+WQqrC0U9U2y74sSuAPC0b09sDs/GPasRLfPCksVtJpPJvAQc1+laHyg2b6YxwtV5z6K3aCloCsmyc3zo+pKri55xqSgKOFpaDjtLDJE+GNrOEIHl4HHeUxeRQkX6ITK4LGwzDy4C6O+h59kARQBdQlMX+N6hBQzGY3ykM46nDjsCkVmt0yIYkd55jjpDPziEFFRacX5W40NECZHqdJuCgfTzuD0qmNSa3gYKKTmjKgolEEKwtxoYbKApFafHJa1xXF/1ty2FPdteMKkK5r1l1tzeatYaz6zOloQXiyxuM5lM5kXkuE73YG04ag2989RapSKGAJHIbFQwbw3XlobWWFyIxAidS9W5NgbGhcT4yKI12LBpctpcw52bgNuMurINIfOg4j6OPyNJl/kHl3yvkYBxksVgWHaOnaZkq9aYCDZE1iZAHDi91WBs4OrKMq0kj+yMaErJYWuRUrG3HmiNoy4VT+yvOWcqXIhcmfdEIhdnDVIK9peGznlmTUlnPfWmqGFaFwwuPOdS2GxU3NGP2xpPpSSzUXHHP5f5xMniNpPJZF4kjut0F71lPTgikUmVeu331gPrwbPdFGw1Segeri0uBAYbODupWQ6OU1NJ7wJCCcx6QGuJJk1+YkitToGPTzhkMg8yJcmSAKlQoTcOqWBtAyEorhy1jEuF0orJJmEkBLBeIkVkUmu2bUAD40qzvzJcWwyUhaTSggMEs6ait4HtpmCwHh9SDu5RZ7AxcGU+MKsLtCKllfQbge1rRqV+zqWwj+XHndU55/bFJovbTCaTeZGYt5blYDH+OFczxQg1wP7mjbi3jktHHZ6IiHC4Sotlg3MctY5CSbSUyCggCgSCdnC4ADEL28zLGAeocCMabHApt9l5GKRnb21wl+dc2B5RFBotJWUhMCGyaB2jSvP6MyOeOez448tLmkJSakFvAisTMIOn0smScLg2BOBVm3SDP7u6pFSC3VFFiJF28OyMS5QMEBWDjUyr518Ku5MfN1sRXnyyuM1kMpkXgUVneWJ/TTdY9luLJGJsZDrSTKoCKeHasmdcCnxIlysH63CbLM5ll6a9dSFpXTiZKvXGsbbZU5t5+RNIwhaSqA0Cepumn1JIvPOsjWTeDlSFZ1JrPDCtFWemFeO6wIbAqLRcW/aMipqqUEDAeYGVnv21YXtccW3V8+jOiGldYH1AScGit9RFYKRTbBciMi5TG9naOEZG3fVSWBa0Ly1Z3GYymcwLTG89V446Fr2lUoLeOCKC/XZNtVCcmhQYF+ito9KaQm1KGQ5brINCpsufPgSEECzWhqP1wODT1CoL28zLneNM3OPv9UJA2ExxtYa60mgBxIDxgigD0ngCMJhArQ19CKx7R1VIplXBbKRpigLnA3trQ2ElPsBRO3B6UnNqUlFqyeA8SoD3kYV17PuButLsTip2JyXEmNrHWnjV9vgW4Xq8OJontPeXLG4zmUzmBWbeWkyI1IXicD3Q+0ClJVuV5qiz/MEzLTHCqBB8tLWsrIUAj19fMbiAElBqSW8815ddajMa7vezymRefDSgFcgIw02pCj5CXcBIy5OFyhAi6yGglaPw4KxnXJdYEWiNY1SlyeqydzSVAgGHbU/vIs55EAJBpDMB6wKLziKF5HCdsnO3xyW7o5K99cCydbTGsr8UtINlOQQublecmdT0NknwY29t2HhrJ1X21t4vsrjNZDKZF5DB+bRkMirYXw0se4cWkr2VIcbIwdqwHBzbpUag6IxjGAKRNA1adBaiQGnB4NKmdZ+FbeZljgY2vQj4SBKI3KjqHWmoNokDREGlJO3gqEvB2UnJoncc9Q6kYFqVCCkZac35WcPvPXmIc5HBRhABtammLoVkPTgQgqZULHrHoreUWjGpCiIwG5UEYFoV7C8NR61jq9I8utvw6KkRvQt8dH+d6oKFuCUVYd7b2+LCMi8NWdxmMpnMPfB8lx3j5o05hIiPAecDi87QG8/R2jDvLYvesdaSqlBsjysePTPmcG1oKsVgLM/MU8MYAkTM8V6Zlz8C8AHqQiBipNtsSSo2zWabXOjBehCSalzQO0Gjk892VBcIATtNyatPjdkelQw+sB4ck1oTIxRa4L1gOTgEUFUKEyXGe6wLSCKXjnqmjebstMbFwLVFz7jSjEqFj4EYBee3G157+oYd4cPXVgjg9WcnJ8+nUIJZk2p8nysuLPPikMVtJpPJ3AXHebXPd9lRiHSf9YHexBQhJBWdMeyvDQergZVxqXxBa96gBKdGJcY61r1P016zaWiK6c39HjLvM5mHkgAYD0JGZEiCVmsoVDqJVFrQm0hrIxPtMcYjgaaSjKrURnZ+qyIiGFWKSiuur3p2mhFvPDvljy8v0CF9jcF41sZRKsW00pya1hy0Fh/BxYh1gbpQVDpF9Hkih+uBSamRUnFhVp8IW+MCEAkxMjh/2wnvqFQncWFA9uO+RGRxm8lkMs/DcV7t4MPzXnasNpc0n9hfcW3Zs7/oWQzpzx+sB0yIFEqlP99a9uY9BMEz8zWX5x3z7kb1KOTlsczLH3HTh7egimRDsAFqLZk2BcZH0A6zSQpZDR4XPROv6YzH+YAQsF0XnN2qcQHOjEsuzEY0leLSUcfeqifGZEnYGSfhujUqODNNi2TjShOJaKU4t1WzNUr5tcveokSK9UII6uKGdAox+X8R4o6RYFoK5jZwZd7jfMh+3JeILG4zmUzmeZi3lsEHZs2NRqHnuuxYF5Jry4E/vjRn1RvmneXyvKM3gbqUTOoC6z29czxx2PLE4YrBBNohYu7HE8xk7jMCKAW4mIobtpoCLRVKSUoFgUBTlFg3YH1A6kilFb3xjMtAUSpWnaNUaeFMIzk9bdBaIqXgVbsjtBIUUjAfHNFHYhS8+tQIHyOQWscKLdlbDRgfT6arpZbUhcK4wM44CeFjpBBEIMZ4x0iwtXHsr3oiFdujMvtxXyKyuM1kMpnn4HhBbFTe/gY0OI8UcNgatsc3WoquLnv2lwOjSrLfRp46ajE2YpxjNURWvUdKgfGR5dxigUqnLfEqQN4fy7ySiCRfuYtJ5NYRmlJyZqtBAGvjqXVEK81qcCgveNXOGKFSK9naeE6XGrOJ/hps4MKpGusDK+Ooiwoh0sJXVShGIXBkHTujgrJQdMYTQkQKKJXg9KhKP9OjglGpkEIQArgQqQtJbz1SCEotN0JXIIW4o9Xg6nygUIoz0/rktuzHffHJ4jaTyWSeg+MFMS1vjGV661l2jrWxqVjBeppN1aYQ8OGra6pC8tpTY/7k0oJ15whAayLOp1aycZW+lif5DWVIv8/LY5lXGmrzcfwTZh3M147VsGarKYgxYmzAxh4pBY3SrIyjKBQ7Tcmitxy1lkmtGBcaGSO11nRDj5LJRlQXit1RSWs8Tal55qhHRBjVmpGWmBBxIbIzqpjWiv2VpTcOvxG9pycl15eGJ/dbSi0olaTUikJJTk9KIjDv7C22paPW4n3gwk5z23P+WCfGmReGLG4zmUzmOTheEHMhbsoWPHvLgdWmPUxt3jiXg8PstwgZubbsmNSKx/d6DtYGTySGiCQtyASfqkRv3hQbNuL2OZo8M5mXLY4kcCudfgYWvUcpT9sbmloTQ8QjGGnJpNZpkmoDWksqrai04MKsAQF2U7IwqgusCzxz1DEqJOW05In9NVcPBwRgnOdwOSAmJaNCc2HWcHpaoaRAScnZrZpCSYwLHK4N00bTeMXgHMYFVr1je1Ty6M6EqlAnC6fdxlc7rZLEmlQ3pNZznRhne8ILRxa3mUwm8xwcL4jNe8uskeyvBq7Me6QSrAZHZz1btaYuNE8ftiw6x59eXqJk5Kn9jrKQiAi9AyXBhc1lWJd+3SQenfyaybzSuHlpUgjQMiUnhAhrC9Y5Ro1iXAgQsGwtO5OaU5OSzgTq6CkKyXrwtIPD+cirtkfsVBVzZ6i15KC1LDpLXWhef7qgC57epL+5UIpPurDF686kKK95Z5nVBdM6eeyPPfdnt5K14OY4wN4GehuYjUrqmWLbFSf3AbiD9rYTY+MDTaEImw205eBg3meB+wKSxW0mk8k8D7NRQW89zxyuefz6Cq0kCon1AQjsrQae3F9jrefDe0ue2u8ZrKO1nuBTfqYPyeJgQxrY5gltJnMrmzZdXNxEgCmBlREf05R1WheUWnDYOpa9QSvQSiKFpJSKGCNlkZoAz29VVKVmf2UYlxK3CgwuicpJU7AtC9rBcth5RpWiUCm+76g1FErSlGlp7E6e+5stBFKIk6ivNEG+VZzefGK87BzGhxPRvOwtW03JmWmV/bcvMFncZjKZzPNQby4bXl8NzHtPpSI2OKSILDvL1eXAqnfsLXtsiNSl5GDtmHcWH5L3oJTQ+pxZm8ncCbn5WHsoSB9CRJpCIYRAAkpJJmWyJCw7S2s8ZyZVageLka1RyYVJSYywtzK87kxJU0ieOupZtIbtpmTWlPgYmbeO1jhkBIHgT6+s2FtZtkclu+OS68shTYULeZvn/ubJbakkXeSOMWBw48T4+rJn3hlGpU4Z2NZTaslWk2TYzXm42X/7iZPFbSaTydwFx29k41KknnshaG3gsatLjjqH8ely6NlpQ+8sg4v0LmBt8t+1WdVmMh+TQJrcHss6KSAEsN4jZUobcD6w1w4QBRARAXoX2BmVVKXeiMiBUiseu7oiImgHz+HK0JuAkI5xrVEiRXv11vGq3RGP7DQ8dn3FqjeMSkmhquSh7S3zPuJ9WjbzIZz4ZY/zakulqAt1xxgwuHFizAKuLQak8EglmdYFW40+EbJaiucUyZl7I4vbTCaTuQtihPXgEEjWvaUqU4SQCTFNXZYpt9JYh0dQaEHwYDdpC5lM5rk59t5qUtZtqSQxRrQA71P5CT4SiQwbG0KMkWmtUs314BgVikcnBSYEHru6YNE7RoVk8J6Z0BRSsr8eWBnPha0aIQUfvrri8qJld1yxf2XJ9YXhDeennN2q6G3Ah8jh2mBcOPHLKinwIXJ9OTCpNJ1Jftw7TV3rQnF+VtMObhMfpm7JyoW0sCoFH1MkZ+6NLG4zmUzmLlj1jsuLjkVvOVhbWFuW/cBgHaMyvZRa7znoLTIKOuOJ5IaxTOZeUKTFSxHBebAh4oPHhp6mUEgh2R1rRlUSl6VUXDpsiUJwdtpQaoFAsOgtIUSO1gOPbI+oK0UIgsEHfIyMCoUSsLfouLTo2R2VbDcFPkQWg+Mj11YYl0oWlBTMO8uydydpCi5EFp0lkgoZ/vjSgrNb1cdsHqu0YndcMe/tbcIWoDWeWZ0tCS8U9yxuh2HgN3/zN3niiSdo25YzZ87wmZ/5mbzuda97MY4vk8lk7ju99VxetCw6y3pIm9TXlh1XFz0HraVzgbhpOWqNZ9UaDlYOnye2mcxzUgKFBKGATRyekBtveghYB1JDXSpsjMTgMKGgUCIVKjjP4EEL6K2l1CXz1lFXivXgsAE+vL/iDaenPHK2QUnwsWBaKq7MBw7WA41WXNweUWiJjpFxFBSF4HBtmdYFUqa/qyoqjA/0NtkUBheotGRU6uStFzxn89ix//bZebit8VRKMhsVt/8Pynxc3LW4/cAHPsCP//iP87M/+7MYY9je3qZpGg4ODhiGgde//vX843/8j/nGb/xGptPpi3nMmUwm85LRW8+Hrq545rAjAs8c9kiRwuELqfA+sDe32BCxLlAWgnmfPHk53iuTeW4MQIBpKZhtlawGT/QBFwOl1IxKCKRmsBAgisDBqqfQmlmtEUCjBTtNwUHn6O3AhVmN9wKJQIuIlmqTjRvZbkpaE1j0lr11z1grtqfVSSyX39T/NoXGOs/eamB3VFEoxalJifWRECP7K4OWqbI3xshqiGgpmVTqYyYfHPtvn52HO6vvPO3NfPzcPhu/A3/7b/9tvvIrv5JHHnmEd7/73SyXS/b393n66adp25bHHnuM7/3e7+VXfuVXeNOb3sQv/dIv3dVf/uu//uv8zb/5N7l48SJCCH72Z3/2lvtjjHz/938/Fy9epGka3vrWt/KHf/iHtzxmGAa+7du+jdOnTzMej/lbf+tv8fTTT9/ds89kMq9oBufprWdwdzYP9Nbz1H7L1WXPqUlFJSUuRgYPR23a1o4x0vtAb9OiycHKYExuGstk7gUhkjg8t1WzO64opWTSaKaNptSSpkgfCnAu4pyjPPa+IugCCCkoFCilODWpmDWa7XHNI9sNO6MU/aWU4PxWhXOeQghGTYF3kSuLjnlnWQ+OplDUWiJEWkgbVZK6kLgQKbVECoEN4USM+mf5ZY+TD+70unIscF+1O+LR3RGv2h3lfNsXgbsSt1/yJV/CE088wb/7d/+OL/zCL2Q0Gt1y/+tf/3q+9mu/ll/8xV/kl3/5l+/6L1+v13z6p386b3/72+94/w//8A/zIz/yI7z97W/nt37rtzh//jx/9a/+VZbL5cljvuM7voOf+Zmf4ad+6qd4//vfz2q14m/8jb+B99nplslk7kxvPVfnPU8ftDx10PL0QcvVeU9vb33duLbsmfeGQqUJy+A8o82W9WHbc9AaBhexPiDTAjc+wJDtCJnMXaMVFDLZCFa9xROIUqbEhCiQUmBcZD042iFS6DTylCoSNzFh68ESg2A2qiBEJpXi1KyhkIJHtxtOT2uQgoO1QQA+CupS0xSK2UhTSMUzhx2LLv28Dy6wGix1KTm31TCpCtpN6UOIkRDiSTxYZz3jsrgl+SA8T/JBpVPKQvbYvjiIGB+M4AkhBD/zMz/DV3zFVwBpanvx4kW+4zu+g+/5nu8B0pT23Llz/NAP/RD/5J/8E+bzOWfOnOG//Jf/wt/7e38PgEuXLvHoo4/y8z//83zpl37pXf3di8WC2WzGfD5na2vrRXl+mUzmweBY2A4+3NH3dm6Wtp6vLwY+dH2JcZ69paX3nkuHa1ad5cN7a5adAxEplOSotamtqLdYIkf9fX6SmcxDgga26lR2ECN01iGFxIbAVlUgZKQznsEHBpv8uVUhKHXB1kjjPQgiSgqqUrI7qgghcHbaIISgqTV//vyMWaPpjEXKVJkdSTFeHz1cE0KaqIYQGaxnUheUhaTRije/asZrTo1ved3QUnB92SNFeu0oleT0tDqZvlofGKznVbujLF5fYO5Wr93V5PZ+8Pjjj3PlyhW+5Eu+5OS2qqp4y1vewgc+8AEAfud3fgdr7S2PuXjxIm9+85tPHnMnhmFgsVjc8pHJZF4ZHFdpzpqCQqVLj4WSzJqCwQeuLnquznuurXqWvaWzjmurjj+9NOej+2sO23Rp08fA2ngWnaMuk9dOK5FbGjKZe6DWKSpv2TsEUChJVQgqLemsp3MQgqCQEi3AWJh3Eesck1IzqTUSkQRrgCf21zy53/L/njni6qJnp9IQA1cXA4vOc7i2LDpHsfHHPjJr2Go0o1LxyHbNxe0aHwOllDx6asTOZsnr2E4w23hsQ4BFZ5lWxS3CFlLywaTKyQf3k3tOS9jZ2UHcIYhNCEFd17zhDW/g677u6/hH/+gffUIHduXKFQDOnTt3y+3nzp3jySefPHlMWZbs7Ozc9pjjP38nfvAHf5B//a//9Sd0fJlM5uHhuFHI+nBblebNj3HB8/TVlnGtCTFifKQbHFIItJJcPhpwwVNpiRASYrIjSAHXlx2LNnttM5l7YVIK7KbBYVxpbPDEIPEh4AkE65FKEEJEKtARvEjlDdfXA7tNidICFyMipqu+lRY8sjNiXAiW1uEOWuoy+XDPTOuUT+08Tx9ZfIjUOrWQHfUWZ1NCw7hSKCFOmsqOF77qmWLbFZyeVFxd9nAsrGPMyQcPEPcsbv/Vv/pX/Nt/+2/563/9r/PZn/3ZxBj5rd/6LX7xF3+Rb/mWb+Hxxx/nm77pm3DO8Q3f8A2f8AE+W0jHGO8oru/lMf/8n/9z/uk//acnny8WCx599NFP7EAzmcwDR2/9yWZyiGCdZ945LmzXFEqePGZvNXBtMTBvBy4f9eyMC7bHFVrClcWAEiBFZFQL9hYBF9LlU+s9QSqO5pbFkIe2mcy9IIDBw6iUCCmIAqoyTUYdHh8iHuiMTykGAYoCppVGSUlvAktpaApNpTRBBF57ekxVaLQUxCDojSdqcEReU4/RCjrnKJVEC8FhN7BEpp/5psAWkW0peN2ZCaNS4UK8Ld6r0puPQuXkgweUexa373//+/k3/+bf8I3f+I233P4f/+N/5D3veQ//83/+Tz7t0z6NH/uxH/uExO358+eBNJ29cOHCye3Xrl07meaeP38eYwyHh4e3TG+vXbvG537u537Mr11VFVVVfdzHlslkHnzu5K1tjeDyYuDKvOfCdgPAM4ctVxc9PkS0BKXTZUUXBrrB8tR+y+Aiq8FgjMC4gFLQ9pbOgoghtZDd5+ebyTxsRGA5RCKe2bjCOp8i9HwgBIH3PlXcFqmYwW5+RqWQzCrF0dqy6gMhBnZqxU5T8fozY8ZlweVFR9c5WhPoreeUqnnmsOWR7TFNodhbDmilmDUlIaZB2tWFIRL45AszxlWSR4USzBp5x3ivmye5Maa0hGxFeDC4Z8/tu9/9br74i7/4ttu/6Iu+iHe/+90AfNmXfRkf+chHPqEDe93rXsf58+dviRUzxvBrv/ZrJ8L1sz7rsyiK4pbHXL58mT/4gz94TnGbyWRe/tzJWzuuNOe2aq4uei4dtlyZd1xb9rRDwIbIXmuxLhCB3nj+9NqSlRnQKr2pBjxrY9lfDjifkhG6nGebyXzcRKAdYLE2dD7SO58mocYyBOgdVIViXGtqJQGZ7EXGUxaSWklOj0tee3rE+VnNuEp2ACUEdaU4PSnZqgqUCDx90PH0wYpry4F5n668SLGJ8iIyHwxKSiS3X/m9U7zXcZQgkJMPHjDueXK7u7vLz/3cz/Gd3/mdt9z+cz/3c+zu7gIp4utuihxWqxUf+tCHTj5//PHH+f3f/312d3d59atfzXd8x3fwAz/wA7zxjW/kjW98Iz/wAz/AaDTiH/yDfwDAbDbj67/+6/mu7/ouTp06xe7uLt/93d/Np37qp95RgGcymVcGw+YNUktBbz1SCIzzzDvDUwcdzxy2/MmVBSKC8TEtlFSaaVUy1ppn5h37q4F5a6m0wobIUe84alOGrdmMabOozWQ+McLmo7MRrTx1XRKRrHqHjcm6IDpHoZLglCJ5XEOI1JWmlCKVOUiZrAgxndhKAbNRhZSpctcNUBXJS9/1nmmlsC6yiiGVRERJqSSPbNfYkLKvbxarWgq6TbzXs+1OUvAxa3cz94d7Frf/8l/+S77pm76J9773vXz2Z382Qgh+8zd/k5//+Z/nHe94BwC/9Eu/xFve8pbn/Vq//du/zdve9raTz499sF/7tV/LO9/5Tv7ZP/tndF3HN3/zN3N4eMjnfM7n8J73vOcW4fyjP/qjaK35qq/6Krqu44u+6It45zvfiVL5GyyTeaXSG8+1xYCUsOwtewvDYWu4vuqJCLbrFMp+fTFwddWz1ZY8sltTaZmSEHzg8b0VnQ0IBuatox0ca5P8tp40ccpkMh8/ivSzBOACLPuAlpZi4789rq9eGShkpNTJ+17ESFmXVEqgtUzCeLBAAWuDEpKtOrWJDc7jQyBESamh85HODGyPp5Q64nzgVdsjRqVCKkFVqDtm1LpNUYNxKXHh2VGCz1W7m3np+bhybv/P//k/vP3tb+dP//RPiTHyyZ/8yXzbt33bQ2sFyDm3mczLh956Pnqw5qn9FikiT+y3HPWWw9WAcYHdUcVRazEu0DuP2rQaXdwecXF7xFOHLdfmLX92dcX1dcfQe4YAg81JCJnMC0lJmtq6mz6XCkqV4sEI4GK6UlIKqEoopUApSaEF07pGysgjWw1ntmo65xERSiWRSiACDDHQKM32qECpdKVmvjac3qqY1CWlkrzp3IQQwbiUflJqyYXt5pbJ7byzzOpkeZj3lllzexrC8WOOs7IzLzx3q9fueXIL8Hmf93l83ud93m23d11H0zQfz5fMZDKZF4R5awHB9rjkA49d59pyQAq4fNTjQmRwkVOTinbZMRiPVmnyM+ytefqwY9Vb9lYD11c9RwtPELe+AWcymRcGx40rIBpOYvWEABGhKCRTLVgbjxAwa0rqQrLsLcZCNZVMCkGhBY9sN6ys56m9NYedYXdUslMXVFLzxrNjpnXJenBcnncgBfPOMioURaFY9o6dccnpacnTBx06JPvDs+O9mlJxfdnfMUoQbvhyt13OuL3f3LO4/ZZv+RZ+4id+4rbb1+s1X/7lX8773ve+F+K4MplM5p459tpKAVfnPU8dthRSUlaKEALBR/ZXQ6rfRGBCYDzSzDvDlb0OKdgsjgmsc7SQ/QeZzIvEzQkjHlARSiVoSnVS6uBCah+b1QWFTjW8MUqaQnJ+VjGtNL2JGB/YHZWEnXRF5lWzmmldgYRT4wqt5EkCwnZTsLc0PH3Us9N4RpViWmsGG3lku6EqFIP1t8V7QZooH9fuPpubfbmZ+8s9pyW85z3v4Xu/93tvuW21WvHX/tpfw3v/Mf5UJpPJvPjEmMLdj9aGo9YwrQvOzSrYJBqUpaYuNK3x9IMlxNRXv+4ci97S+cDR4Lg+71h19/vZZDKvHCJJ4Pp4Qx1GoNSKQksCKQJMCBjXikmlKKXG2Mi0UTgfaI3n1LhkXBaEKHhm3tEN6Wfbh8hqcIxKzalJxaO7DWfGFY/uNOyMSla9Y7Cec1s1rzk15lW7Ix7dHfGq3dGJj1ZsJssupOMzLsWMGZdk+rEv93mi+DMvAfc8uX3Pe97D53/+53Pq1Cm+8zu/k+VyyZd+6ZeiteYXfuEXXoxjzGQymeelt57ri4En99ZcW3Ycdckhq6Xi7ERxuDZ0xlMqybV1z6pzeAKqlVxddPjg6Z1AIFn3HpunL5nMS46xMPceBGgVqbREB4ELgZWB7VpjfMAD11cdIcCZWEO0lNozG2l8iGnK2waeOepTCUSI7DQlLkZ6G6hKzaOnJW86u8Wo0ggBvQ30NjDjznm1lVZMqoLrqwGAtXGpOU0KxmWSU2cmVbYkPADcs7h93etex7vf/W7e+ta3IqXkp37qp6iqiv/9v/834/H4xTjGTCaTeU566/no/pq9laGzjoOVJQowNvDMvOPVOyNOTyue2u/YX/UcrAd6m4TuQKDfNCDNu0gq/cxkMi8FkpSaEDcfMoL1UEgQUeAjGG/pTaQuFVFqzBCImwUwYiRGT1GUzFvLsrc8sj3ikZ0x07ri8f0lCMG5rSZ575c9tZJIITi/NWF3cqPQSQrxvJ7ZupBcX/asB8fOuGBaFQwucPmoY1wqHt3Je0cPAh/XQtmb3/xm3vWud/HFX/zFfM7nfA7vete78iJZJpN5URmc/5gtQNcWPU/srym15NSoZK8a2F8bmkqxv0zTXAEIGVgMloPlgJICIz0hpm5742/EEmUymZeGQBIi9UaNRAHRpdQEZMB7T2cjMabSlGVrk2c+RDrrmVSaeedRckhXZrRi8J714Cm04Myk4cqiQ8TIma2a3nlCiExKzdboVgn0fJ7Z3nqeOugYrEcguLoYOFKOWVNwYdYQiSeT38z95a7E7Wd+5mci7mAiqaqKS5cu3ZKc8Lu/+7sv3NFlMplXPM8XmL7oLH/4zIJFN1CVmm7wOB8xNhCJKCXYXw9UhWDVOfZXFhtSXi2kN0ybhW0m85IiuLGreZwbrSXEALKEUaGotEaIgBaCyaikLAWDDTRaobWkUIJCwkFrWBvH+a2ac7MKJQVPHbYI0gQ4xMCTB2uEgHlrKJSi1Gm5tDeBaaOpC3XimbU+vTjcfCLdW89T+y1Xlz2nJhV1oeispzUOJQXTRqPk809+My8NdyVuv+IrvuJFPoxMJpO5nUVnuXLUYUJke1TcFpi+PSp4ar9lbz0wKSVHa4NxHq1gd1zQGk9nHD4EYpAcrAcWncG6FBDvSS+C2V6bybx0SNLE9ljgKlIKQYgwrlLV7rguGHxKSii1ZntcUWnBsvf0zrNdF2itWPSWwTokOtkWIuwtB2YjGJeKKASv2h5TFYqVcUzrdFI8qhTWR/bXPYMrOD2tWHQWgeDaor/tRHreWnrvGZVqs1wmGJWaUalZ9pZl5zg9LXNawgPCXYnb7/u+73uxjyOTyWROOJ7WPrG/ZtFbtjaB6VuNptKKWSOZd5anDjqWxtEZxzMHA63xaC2pVBoBVYVm0VueOFhjzabOU4CU4Hx6gzX396lmMq84jj3txxrQAMGDEhA37lvvQRJZd46mlIQYEQiqQiBRCHlcqd0jhcQ4x/VlT4gRJQTWBxZ9oJCC1+yOKTYnxqfGJYvOcXXRU6g0/T1aWw5WA+NKszUqqYpbm8fmvaE3Aa0EPgRciCd1wABNoVgbS2NkTkt4QPi4PLfPR4zxjjaGTCaTeT5667k671kOFuc9p8clCJGmrr3h7LRmWhcoCR89WON94Nqy56g1TKqC9WC53Hv6wRCAK/OO3ngEkq0mVR/tr3wuZchkHiACmxNPlepvB+dRkuSJdwHrUu6skpG6lKx7hy4khdKcnVa0Q+Dpg5br84Gz2xVKSBCRM5MKLQVCCLYbzdVFx6jU7IxKjA+4TUXvoje86fyMM9MbC2aFElQ68vj1FfurgQvbDcvOMW8d57frE+uBkoIQoR08Z6d1tiQ8ANxVzu2nfMqn8JM/+ZMY89wzjscee4xv+qZv4od+6IdekIPLZDKvPOZt6m2f1gVSSkJM9oTWeJ457PjQtRVPHbRcPep5Ym/FU4cdEDlYWy4drjlYGYx1tDby9F7LsnPIGAgh0A2e3vs8rc1kHjACUChQQtBZz6IzDM5Tayi0okDSO09EMtiADQEhBIUSNIVmq9GMa0WUkRgjiEhTKFrnEUBTSowNGBfZnVScmzWcnzVc3Gl49akRIDZT4xv01rO3TMkqxgdCTO2GJiT/7WqwxBjpracdHFUhT8oeMveXu5rc/sRP/ATf8z3fw7d8y7fwJV/yJfzFv/gXuXjxInVdc3h4yB/90R/x/ve/nz/6oz/iW7/1W/nmb/7mF/u4M5nMy5DjhrFRqQgx4nwqZAhArSU7o5JFZ/izVXrDWXSWcaVYm/Q4E8Im5kfSW4sXm7D1AD4EBu9Yd9ljm8k8KGiS9zYArQGJwZMsAYMPbDcFlRSgBGVQSJniwsalolYK2UAkEILgkdl4c0IcKKRES8G4LBhVCi0le+ueppAcX1cuVJrvWR+otMT5gHGBUqfb95eGq4seIaA1gacPOi5sN1zYGnGwHjhaW2KE1njObTW8endMXeSp7YPAXYnbv/JX/gq/9Vu/xQc+8AH++3//7/zkT/4kTzzxBF3Xcfr0aT7zMz+Tr/mar+Ef/sN/yPb29ot8yJlM5uVKjDfqLYWQhADLwXFuqwaS+L02N3gCe6uBZ45alp2hN2CdZd47FgJClICHkHx5qyHJWR/A3sfnl8lkbkUCSm0SSwIMHka1oPAQhKB3AR+gUo7daYUPEWugrBSTWjNGsxwso0JyalpTabi+MExrTVFIHtmpUVIgpeCot7xmd0z5LNvAYD3TWhOBsNkGW/SGp45WCCSVlpyZFCAEVxc9k0pzalzSWUepBafHIx49NcrC9gHinjy3n/u5n8vnfu7nvljHkslkXuHcXG8ZY0RKmFaa1eAQAvYWHdfWHUpAbwIHq4Gj1uADBB9Z9xbnU0ZmIdIb5WBhuN9PLJPJ3JEIeJ/qsRUpxSREgRSCSgtmVUVVSUZlSkNoB8+4VsxqzawpcDFgfaRUAikAJEUhqQpJqRXbdXlypWa8ifuyPpwsjPXWM6kLaq1ZGYfc7AvNW8dgI2enmrXxzEYV01qz7F1qKFsN1KXm9KTm3Fadhe0DxouyUJbJZDIfD8f1lvPeptpNJTmzVbHuPZfmHXsri3UQJbgQaAoNDXx0f0XvIj6kN0vhoN9E8mRhm8k8uBxfSZFAqdLJrfceqTWTsuTUVhKnk1JTCIUqJUImH+6oVkDB4CLGBZQSxBh47c6I7XHFYD0IgfOR1+6OODUp2VsajA/0NtXmTuuCrUYzby1KJr+v9YHOWEoJi97SlJpprSm14tREbdIRHLujkvOzvED2IJLFbSaTeaCYjQp661n2Lk1vhaSuJC5ExpXk6sLRh8jVRc9hN7BsPcshRQcJ0tQ2xOSzzTW6mczDgWaTd+vBS8FEClpjeeKaY1Rr1oUFIXj96THntkd0xvH0YUcgIhEcrQ1XFx07k4qmKIgRPvnCFtvjktmo4NHdEb31VEqxHBxNISmUREpBazxbdcH2bkFvA/urnsFFykITI5wal7dYGZpSMe8t26PyRNg+V4Ni5qUni9tMJvNAMDhPv6m13BmnoPV1b9lfGZQU9Oa4Kjey7AxPH3YY7whEKgmtT1OgkKvGMpmHAkEStIp0Ijr4NMEVPrK3tjSFoC4UIQYWQ0BLyeAjs1pzblpTKslH9lasrKUqJFWpeGS7QutIZxzz3nJ2VnN2WjO49MJw/NqyGiyDC0gBs/pG4+EMGFUKsYkSawe/eZxASYEPkWVvqZVkZ1w+b4Ni5v6QxW0mk7mv9NZzddHz1EHLqrebPMqCC9sNrz874WBt+Mi1FdZ5pIxoIbi+SUtQmz/vcqx2JvPQUQBNAUKlUpUY0nLZYAABRkSaGrRWSQRL2Fv1/Ok1yZvObbE7rlgbh/eRrabEEVAIRjpNayViU7l7u/g8M60ptbzjpHVaF+yOPfPecnqqWXaOtbnx57WUXNxpKLXk6rxn8IFRqW5rUDw3y17c+0UWt5lM5r7RW89jV5f8yaU5xgfqUlEqydWFZ95ZXnt6zKTSGBfpvefyfseHriy4uhoYQmAwgcGSCxkymYcEQZrOxs2HB3QUTCpFFJFV61OhQ4TBQTd4ahWYTStWveXKvCMieMOZCTakxbCy0OxMSnZHJXUhicDpSYWxnqcOWszWrfXdl+YtSgouzhpOT+s7HuexPWpwge1xwbRJdb299UyrgnNb9Ukm96y5kW1bKHHSoDhvLfUsi9v7wT2LW6UUly9f5uzZs7fcvr+/z9mzZ/E+XxPMZDJ3x1MHa37niX1WxjMuFD6AU4Gq0hz1hj98xjMbaS4drbl01PH0QZ+8tD6AD9gsbDOZhwZx04e66ba6kEzrlErgg79xvwTjI2vr0OskhrWSLHvHh6+v2B1VgGTRG7brglGlGZeK1qSs2oOVQQiRYsGUZN4ZLh/27Lc9y87zoXrJm87NeHS3YTYqbznWulCcm9W3TX3PTGpmowIhOMnkvhOjMlkftl2RPbj3gXsWtzHeOf58GAbKsrzjfZlMJnMzg/PMO8PvPHnIwXJgMk5VmP1gsT5SKcXgHEIITk0rPnqwYr62NJWkUCXXFh3WQXYjZDIPD8fqwXOjHtVYUMIzOI8LyaKgI2gFhYZSaaQQHHaWnbpkuy4oCsWVRc/15YASkVFZsL82TBY901pTacngAq11nJnWSCGYd4bHLi9ZW892UzCtCtrB8eTBmkVn+AuPzO4ocOuZYtsVty2L9dafZHLfCS0F3SaxJfPSc9fi9sd+7McAEELwn/7Tf2IymZzc573n13/91/nkT/7kF/4IM5nMy4ably+euL7mw9dXBO+hS1vL1qUpzQevHdIOjlGpqbRib90hhOL0pGKIAYHAk5vGMpmHkQjURfrVWOhs8tM2pUARk8gVIFHJxhAilZaYEFhbx5laoaXCu4AuBKe3KgSwMpbeBU6PS1rjIQpOTypKLfnItZ619SeFMDFGtFacn9UcrAxPHXS3idtj7jR5vTmTu1C3C1wXIlKkx2Veeu5a3P7oj/4okL4h3vGOd6DUjX/ssix57Wtfyzve8Y4X/ggzmczLgt76k+WLECImeGIIrHpP7wzjSiOA6/OOw9bSDkkET6qSo7VjcIboIxBwMWBctiRkMg8bCqhlmsyaAKXe+G5lWtRSAooQcaRa3FIqtBKYGHAuoiUMNtAGz7jWbI9qvI/E4Jm3glMjQWcdcQWnJhWjSrHsLfttz/ZN3lgfQUqBRLA9Kri+6ln2I6Z18bEO/RZuzuSeNfK2+1vjmdXZknC/uGtx+/jjjwPwtre9jZ/+6Z9mZ2fnRTuoTCbz8mPeWpZDkqOH64G91UBvAmvjwHgmlWLeWa6vBkJMve9aSkCgdKRrLR+5bhESlkN6Q8xkMg8XEhAalJSMZQApsS7QDzBIT60VRalY9g7nI51wSFXivKAqBKfGNWdmFV3v0Uqkk+UYAQHCcSACp6YVF2YNF2Y1PgAxFbzcPGHtrWdSaQotUQHmXcSHe7sWdLx0Nu/sLWkJrfFUSjIb3Z1Qzrzw3LPn9r3vfe+LcRyZTOZlzOA8B+uB1WBPvGshCIz3HHUGomBwDuMCLqQ9agEg4KgztH2ks2BDFrWZzMNO8OBFwEaAlDUbga4HNYpsVQW1VhyuB4SUjCtFoQRlqbEh4H1AaQVEQohcPDXm9WdGCJK39sy0ZndccnpaMW8tB+0AMbWYaS3orafUaYkNYHABJVOO7b3w7KWzbrN0dnNubub+cM/i1nvPO9/5Tn7lV36Fa9euEcKtHUC/+qu/+oIdXCaTebg5bu0xLnDUWgbvqbTkyrznYN3jo2BUlHTOcn3ZszYheewEIATBR1a9xThPzMI2k3no8UAJIEGEjT1AQFNJrA8ooBSSaqRQStCZgHGRWZNqeJUWHLU2CVWleNVuQ60lpU7+/ONWsVVvacpJWgorFFeOBq4sO85uNUyqG3W6AEet5cKsuWtLws0819JZ5v5xz+L227/923nnO9/Jl3/5l/PmN78Zkd3SmUzmWTy7tWfeWf7kypJKw/7KcHneU8jkUxusI8TIanAseksMgnGtGEzadm6HG/3zmUzm4cYDLkIRBJHIYGAAmjJSaEUpBZGA8wotJbNaghBUWlJphVSCRWvoXGC70Iwrzf7aMK4Gtkaa3VF1cnIMN8TnX3zdDn/wtKS1/sRC0BnHUWsZl4pHd5tP6HllQftgcc/i9qd+6qf4H//jf/BlX/ZlL8bxZDKZh5ybF8eUhBAC87XhqB1YDAZnI5KIVCmvdr81HKx7FILood/U8HoL7f1+MplM5gWjIJ2o+gDGRcymMlsAwUTGlcdEWBvJrEpZCV7ApFKMm4KxVtgQEaMS4we2mxIpBD4EnjlsEYzYHVU0haIuNb31J9PUM9Oa/99rJE8ddFxf9cy7iJKCC7OGc7OSqlAMzmeR+jLhnsVtWZa84Q1veDGOJZPJvAyYt5ZFbxEI1saytzQcrAeMDVw+6FkOlnFVQIxcWfS0g0VGCEJQFrA2YHxOQshkXk5IoFDgNz/b0W9uAwJpottb8Ar6haHYluyOUqbtYCP94NGbQoZJpSmkYFxpXIiUhaRUisF6prWmLlLRw6XDDq3kSeXubFTw5lfNWPYjfIg4n5bIFp3lqHW3PC77ZR9ubs+veB6+67u+i//wH/7DxyxzyGQyr1zS4phhPTiWgwUBPgQ6a7m0aFn2lrZ3HLYDlxcDy9alDWUpEERaG7BZ2GYyLzsC0G5M88eysdAwqaEp0m1awaRUNI1ibRy9hVorHtlpCDHy+P6Kw9YSYmR3UqOV4FXbDZ9ybsanXJiyNUqLaNcWAz5Epk2RSh0Kxby3XJ33qT63TuJ1PTjmvaUq1B0fl3l4uavJ7d/9u3/3ls9/9Vd/lV/4hV/gL/yFv0BR3GrA/umf/ukX7ugymcxDxWAD1xY9iMipSc1qsFxb9hyuLaWWjCtNiJHeeYIPrI3BhsBxAo/zuZghk3k5c1y/awFcErRSpBIHIaD3npHWqCjweHyIxAinxiVr6zDOU6gKYx1r6zhYS7SWVFYSYuSZoxatJK/abShUmt8VSjBrJPPOMm8t9Uwxby2DD8yaAuMCgwtIIZg1xS2Pyzyc3JW4nc1mt3z+d/7O33lRDiaTyTycHC+QXV30PHXYUmrB4coyBM9HD1qc8zgnmNSao9Yw7y3GBuZtwAGTMlkRfJ7aZjIvawI3Lhk7oDepyKEpUtSf9eB8BAkSibGey6Zjq9ZoIXE24GPAA4VSzDtH79esOses1kzKgk999eSO3tlRqVgNllGfflUSri8H1sYRQkRKwbjUNKVkNVi2XS5heFi5K3H7n//zf36xjyOTyTyk3LxAVmhBqQSHK4NUEikiUgi0UvTdwKo3xBixJrAyFkOa1M7N/X4WmUzmheZ4SntzYKgiTWljSOLWxnSb3HxUWjLZtBX6CJ0NCJXqtpWKHHaOuN9yfqdh1hQMNrC36BhcxIXIH14+YlQpXnd2zFZ9a52uloIugg+R3gY667A+UhcKXaQChmVv6a2g2USKZR5O7nmh7PHHH8c5xxvf+MZbbn/ssccoioLXvva1L9SxZTKZB5zBea4uevbXPaXSzDvDUWs56gxbTYl1nvXgiDEy7w17q551lzaYCekFKMd8ZTIvT54tbCEJ2KZMdxyZdL8SoIUgquS/dwGmjaY3nqYqaDaFDTGkx4UQaTsHAZ6Zd2gkW7Vit9FYF3ns6hLrA2+6ML1F4LoQNxYIkfKzfWBnXJ3cXyhBoSSH6wHvIznp9OHlnhfKvu7rvo4PfOADt93+f//v/+Xrvu7rXohjymQyDzjH09qPXFvxJ5cX/NnVJY9dW2B8YFJpdsYlg/Vcmfcs2jSWnZQK7yI+BAot8SH7azOZlzPPFrYFKTEBIIh0citJjWURaMqCaaWJUbDqHZVK1WVKSkRMovTsdkNTaea95dK8w/nA6a2ScaOZ957WOCwh3X/Y3/L3H7V2U+kNz6tcs7J9qLnnye3v/d7v8Xmf93m33f6X//Jf5lu/9VtfkIPKZDIPLjfbEIwPPHPY0RlLVWoOVga76Xo/WFsONq1kwyqyGAzWRQopGZxncNlfm8m8ktAShAKNRGqBs54goNIpgmtnVDKqNQernkXvqQtJ7zxaCgRQFppTo4LV4DHGs3aerVozrUtKDesh0FnP9UPDrCq5vux5ZLtBSLg6H/A+ye3WpCztQgqWvaUpFEoKfIh01p/k5GZbwsPLPYtbIQTL5fK22+fzOd7n6IxM5uXOvLUsB8d6cPzZlTlP7q/YHpeMpaAdHJePOlwIHHQWawKtC9QyIlwkxMi6s3QOss02k3ll4QJUQF0rQoyMG4EQMKo0Z8Y1yFTusNUUDN6zXZWcntbEGGmdYzYqMC6yaAeGECgLxaTS9NYRg2RlLKNCYbzjqB1ojePSUQdECqW4sJOqd9fG4XwABNOiZHCeTSIh06qgLiU3lZxlHkLuWdx+wRd8AT/4gz/If/tv/w2l0vUF7z0/+IM/yOd//ue/4AeYyWQeHJa95cm9FVcWPXtrQ2schZIMxnOEYdFbVr3HBE8pJHUjkUawMy65dNjSHa7pXFoiyWQyL28kyZoguOGBDAJ669BS0hQFZnBIJKenFdOmgAgHa0vnIlujgvM7NcvOsqMKEJLrq57DLqUbTEpJawOtGei9T9PfpmSr1jSlRimJ8YHdccEjO+OT45pUBee2Gi7PO8qJ5HRTnjSZVVox7yyzOiclPMzcs7j94R/+Yb7wC7+QT/qkT+ILvuALAPiN3/gNFosFv/qrv/qCH2Amk7n/HEd9XZn3/O6ThwzOU2rFrNIY47i2GjArmLcDLkQKAUet23TCCwbnub4cWHYRA5SkRqJMJvPyRQNKARt/fQRESItdpUpWg6rR1KXG+siic1Ra4mPg9LgAKZi3jnGt2a01FtIyWWvxQOcM7UqmDO2iYFQorI/sjAq6IfDJF8YIIRB3WC+aNprVoLm66BmVY0alwoXIvLNUSjIbFbf9mczDwz2L2z//5/88H/zgB3n729/O//t//4+mafiar/kavvVbv5Xd3d0X4xgzmcxLxOD8LRMMuNVjuxgMnshsVHJ9PWCDx/iIlopV3zPvLMTI4CPrzuBiREvBcnAs1uHEipAtCZnMyxsJaA2VSlm2PiZxaz1oAWWtsDGgvKCSkkVn6GwgkITJI7sN57ZqlBBIKeg9TCrN6SksuoL1EBlXBZfnHc45Ls5GnJoUtL3nYG159e6I87OalXEMzjE4f8skti4U52c1l496epOaEqWAWZ3rd18O3LO4Bbh48SI/8AM/8EIfSyaTuU8cT2ZXgz3xnh13rB83+XgfOVwPBBs5cAPOBa4tTHpTQCCERApBjBElBAFBbx3WBjoLw/1+kplM5iUjACGAFxAFuHjDppCSUiJbdUk/OA5ay7gWFFGjFZSFpNaaQidPLUEgZKQpFYHI2emIOAv4ANNKcbAyxBhY9i5V6VaaN56bcHpaY45ajAt3XA7TSnJ2q+LsVk2h5C0n9ZmHm7sStx/84Ad585vfjJSSD37wg8/52E/7tE97QQ4sk8m8NNw8mR2VCi1TmPm8t8x7w3xt2VsNPH3U8eTeir31gEBQqVR3GWPEE/EBrI/pDS0EvHes+sDgswUhk3klEgMMMQlbRararTU0VUoikAKUFnS9I7SCaSM5P24YV4qIYHABER2P7DbsNCUHa0uMkdPTikmtePqgI9SRspCMSs3uqOLUuKCuNBe2G0otKbVi1btblsOOr1Ate8uZSc20zhaElxt3JW4/4zM+gytXrnD27Fk+4zM+A7GZzjwbIUROTMhkXmLuZCW4F27uWD/muIv9zy7P+d2n5ggRqbViUit6oznsDPPWMO8d1nm2moJKKay3WBcZbGDeedr8cpDJvGIxgIzJhqAllFpQVYqtWjO4yNo4CAG5sR6EmIoTlJT01uNXnu1RxaqznN9qGFyPEgJBRAnJG89N6a3n8rxHyUhVKnamNZNSUW1sBYWSbI9KehswLtANnkVvaE2g0oKtuqC3PtsQXmbclbh9/PHHOXPmzMnvM5nM/ee5rAR3+0I9OJ+61stbH99bz7JzfGhvzePXVlzcbRiXGmMjAUGhFIfO0g0WpSREWA6Wde/pXWTVW5a5eiyTeUUTSVaEUZliwJTcNJEBUgis8wgEdZEiwQKR1eCRMnLUeiot0FLypHX0PjAuNWemFb0L+BiZ1AXGB85s1Tjn6AbHurOcGVdIIZh3lmmleXSn4aizfHRvvfk6yW87qhS9C1yd95yb1Vngvoy4K3H7mte85o6/z2Qy94fnshL01t/1C3WMEGLqXL/5a+8tB45aw2AcWyMFIXD5qDtpBFoPgW5wWO+TuBWk5bIQcdHSZmGbybyiEdwQt1oIgogICVIKYoiEkCxMo1qePFoi8NEzbwOlkik/u9I4H4lBYH2g1JJRpXlqv+V3Dw6ZNYpHd0b4KNlbWVrr2G8No0qxO65OTvZ7G9iZVExrjRSCUt9IUJh3lnlrqWdZ3L5cuOeFsosXL/LWt76Vt771rbzlLW/hkz7pk16M48pkMs/Bc1kJ7uWFWog08XUhUqgkcJedw/jAqFL4kLy189Zx1DsOW8NgLMvesdi0BHWDY9EZhIBV5zEue2wzmVc6x8bFAeh9pC4lpVIoBEpKrA8oFSmUJACl1MwanWyPRJqioNGaQkmaSvApF2ccrAb2VobTkwohBNY5jJXsrQ299TyyPeJN56b4GBnXmnOzOh3D5grV9qigULfHgo1Kle53Odv25cLt/8rPw7//9/+era0tfuRHfoRP+ZRP4cKFC/z9v//3ecc73sEf//EfvxjHmMlkbuJjWQmOOX6hHtzzS8xKKyZVQWv8yddeG5smwT6yNp7D1tI6hyBtI19dDBy1Fus8hU6CuB08RyvPKjePZTKZZzHY5L1VQiIliBiZ1CrV5iqJBqz1dNZzsB7ojae1Fhc9Ugke3R6BgIvbDQBXFx0H64Gm0giVXsce3R2xMy6ZdxYp02vS8Wvgna5Q3YyWghDJdbsvI+55cvvVX/3VfPVXfzUAV69e5b3vfS/vete7+LZv+zZCCHmhLJN5kbmbF+ruWS/Uz7V0NhulhYp5Z2mN5dJhRxDpkuGqM1w66JiONDZEjPP0zjPY9LUEkbrUeO/o8htDJpO5A1qDVJJKQ10qbIAQBVpEtJK4IOi9xXeRslCMKoUgxYGdGlWc3aporacf7OZ1TyCEYFQq2sEjBGyPCmKEZ+Yd+yvJqFI0heLcrL7jFaqbcZuM21y3+/Lh48q5Xa1WvP/97+fXfu3XeN/73sfv/d7v8amf+qm85S1veaGPL5PJPIt7eaG+m6WzulBsjwo+fG3NH11ecHXR0yhFUQjWxrIYLFdWHdFHOusYXBLX3qccy4jDeHAv9f+ITCbzwFMAo0IwrTRVqWiKgtOlxHpPpTVnpiXrwbO3Nggio0rTFJozk5pzs5pCwXrwXFsOhBjRMuXkjst01WlnVFFpyZX5wLjSTCvNYB1CaJaDg82y2KQqmPeWWXP7BevW+Fy3+zLjnsXt53zO55zk3r71rW/lX/yLf8EXfMEXsL29/SIcXiaTeTbHVoLne6GOkbtaOuut56i19M5zcbth1hR85NqCS3uWpw5aXIi0g6O3AYg4l0SyFCnHsh2yFSGTydyOInlvQxQsB4+WEScEsqo4NxsxuICPgq26RCrBonVYH6k1VIXAuPTa9PheS60VZ7YqZk1B5wKht1xbDbz+1BiA5eA4Na5QEuZd5GJdcGZanewg3HyF6ubXw9b4XLf7MuSexe1jjz3GaDTi9a9/Pa9//et5wxvekIVtJvMSczcv1He7dDZvLcvBoZRgpyxZdIb9lWVtHb2LOOdRSKTwGJvifEJMdZp5WpvJZO6E5MZSmY+B1gR8EOyMJWMfWA2OWa05MysppUKvobcBQXp9ubbsKZSgHRzjStMT6a2mmlYYH6hLTWcDi85SFhItwHiPNZGqEMxGSd6cLIuNC87N6pMrWd3mSlau2315cs/i9uDggA9+8IO8733v45d/+Zf5vu/7PqSUvOUtb+Ftb3sb3/iN3/hiHGcmk7mJulDsjEsO14ZlZ9FK3vJCLQR3tXQ26tOvSkBvHEFLri0GylIwRbEcDPurAedTJ7wgJSFEUo1mJpPJ3AnFjdeIwcGoABcFzgc8Aes8SwOnQ4PWknFZcGFbMG8dxkakkKz6wLxzjArN6VmFloL1ENAyvd696dyUo3Zg1TtKLfE+oqXg/NaErboEUltiZwO99cyaknqm2HbFJ1R8k3nwEfFOVWP3wO/8zu/w9re/nf/6X//rQ7tQtlgsmM1mzOdztra27vfhZDLPybN9tD6kzvWdUcFWU5485sPXVowrhZLylkxHgBgjy96xVWv+9MoSFwLXlwM+BP7gmTnjSnN9NfCBD11j1QbsTUo2R9hmMpnnQpNOhCFNcIsStpuCEKDQknElqZVGKRhVBbO6oNQKKcDGyLjUXJjVtL2jdR6N4NS0ZHtcMdq81vU2MjiP8YF1b9kepUzbcak5Pa2AFGs47wYGF7kwq2/Jvc08nNytXrvnye3v/d7v8b73vY/3ve99/MZv/AbL5ZJP//RP59u//dt529ve9gkddCaTeW4+VnlDazyHa0u5mUJcW/ZcW/boVlBqxbjUbDX6ZErhQmQ9OC4dtTy+t6YpFK1xLNaWvaVh1TuePmyJIaLUZlobsrDNZDLPjyBNbQXHqSrJAtCUkqKQOA8Gz05V4kNkrx2YFAotFdYHLm7VSCmZNAVNVLgALoLzqdq70IqmFOwvI0etpdaKQgl2RxXTJsmaveWA8YEQ4cy0YtoU91xyk3l4uWdx+5f+0l/iMz/zM3nLW97CN3zDN/CFX/iFedqZybxEPJ+P9uqihwiDD2w3JZ11lEqy7FPu7VajKZVif9Vz5ahnNXhijDx5sGawnivznktHa9rBsbbpvsGmN6rsr81kMnfD8eVgLZO41QKEkDRlwdaowFjPUW8wITIuFIUW9Dbgi0ChBL3znC1SE9myt8zXlqbWlEpQFcl+ECNoJfiUi1sn9bogUFJwuDK0xqFV+hqzTXnDvZbcZB5ePi7PbRazmcxLz92UNzxz2DGuUv96pSV7/3/2/jxWz/y+6/+fn+3a7vXstseeGU8yk61b2tIiyu/bvQgCqlQWQYtaFamqaBGkkbqkhSot7UQJqIrUQEv5p61KBAhUCSGBWoEUKEFqaIFCoClJk5nM4rF9tnu5ts/2++M659iefSaejJfPY2TZPvc59uUz9n2/zvt6f97vZaS1wxzIZ48anj2M5EZzfdmxX3dMC82q9yxqd7b4Yd06rq97QhhG7qRJCEmSvBanzYlSDAF3lGnKTKGkQMqhzzVXCucDrQwIpVj3jokwbGwUtDbgQkQgkEJSGgURWh94ZDZmY5xRd56tccaDmyMKo5iWGce15bDuubZqKYxiUphb7lhB2kZ2v3jN4XY6nXJ0dMS/+lf/is9+9rP86I/+KJubm/z+7/8+e3t7PPDAA2/EdSbJfe+Vljf4EFh3lu3x0HdbGMX2JOf6quPpg5q1dcQgeKA0+BhorWNRW1wIJ1uDoLOBPgzV2p4bfXNJkiSvxulzRgaMckAKqsJQaEkIAekF+93wJfMo10yKDEmgN5LOe1QMaK25tmhZtpadcUE2MngXyKVESwkRdifFC+Z1FzNFmSlcCEwLQ24UvRsOk0khyLR80SU3yb3nNYfbP/iDP+Bbv/Vbmc/nfP7zn+cHfuAH2Nzc5Dd/8zd54okn+PVf//U34jqT5L73SssbrI+AuGV3emGGCkmVawqjuLbsOFxbrhx1XFm0PH1YI4DOQ932HNY9i86fVWvT83+SJK9FBEoBG5VEaYEQklmZ0fSWxkWMcYgAUkrmVcbmKKfuHUWmWfeeK4ue3alke5TR+ciic1yY58xnFRc2Si5tVlgfMEq+6Eax3AyVXhsCi6Vj3TtCiEgpTirIMm0juw+85nD7vve9j+///u/nwx/+MJPJ5Oztf/bP/lm++7u/+7ZeXJIkN+RaYbTkcN0zq154S621nlGmkDdVdjvnOap71p3lqHY0vWXZdPzRlQVPLxrWbU+RaWKMXF02rDvoU6JNkuR1qgTMRpJRlZMhCBIyJeiFwMhIjEMFdTbKmJwsm9FSEqPgnedGfOGwhgjb0xyjJTIIzk1KNsYZs1JzddliXXjJjYu5Vhgl+ey11VDNNQpthoO3y9Zybel5y844tSTc415zuP3kJz/JP/kn/+QFb3/ggQe4cuXKbbmoJEludTr+a9069lcdVxctm6OcjZFBK0ndeya5YVqYYUPZyeayGOH6uh1u8XUeIwVHdc+y72l7R4xgT/psa5tu1SVJ8sXREsaVIZOCiEDLiBBDBXdSKKpM0vWeykia3hOjpzCQG02Ra975wIxV69goc8pMUtuAkpKm8zxz2OBDvOW578UmIAz3sAYv9n16mrv3vXB35ysoioLFYvGCt3/6059mZ2fntlzUKeccf/fv/l0uX75MWZY88sgj/OzP/iwh3Bi6GWPkAx/4ABcuXKAsS77pm76JT33qU7f1OpLkzXQ6/uu4tUxKw+WdEZvjnIO654nra5aNY1YM23d2pwW5Gk4EWz8MSr9y3HJ12SEQ+BixHqaFQZ4MQl/3HhsChBsHQZIkSV4rAwTJyRxuR9s5Km2ocs25jZK9acG8zIlKsGocPoCUgiIbZnSPM8W8yNgaZ1zcrNga52RSUGSKAGRasjXOaZ1nf9XjQ2RWGjofOK6HQYWd8zgfuLhZMcnNyUFcR+eGAsDFzQrnA51Lz3b3stccbr/zO7+Tn/3Zn8Xa4S+SEIInn3ySn/iJn+Av/sW/eFsv7kMf+hC//Mu/zEc/+lH+7//9v3z4wx/mH/yDf8Av/uIvnr3Phz/8YX7hF36Bj370o3zyk5/k3LlzfPu3fzvL5fK2XkuSvFluHv9llKQwmgvzksf2JmxOcsa5PqtaFEaxNyuYFYbOepat42DV0lhHiIGDlWXZWZCSyihiHDaT+RBxMW0dS5Lk9ZFAYaDQks4GDtY9EKldwIfIONdUuWZnlrNVZWgj+cpLM7724U02Rznz0gCCK8uWxkY6F7i+HNqmZqWh94Ey02glmRTDz5fNMKBQS8H+ajiAdnrwdpxrdqY55+clF+Yl5+clO9Ph+TKkA2X3vNccbv/hP/yHXLt2jd3dXZqm4Ru/8Rt561vfymQy4ed//udv68X91//6X/nO7/xO3vOe9/Dwww/zl/7SX+I7vuM7+G//7b8BQ9X2Ix/5CD/1Uz/Fd33Xd/FlX/Zl/Nqv/Rp1XfOxj33stl5LkrwZXm78V6YlG1VG7/1ZFeL0+/loqFDkRtK6SPCC66uW/XXLouk4WPWse0tne1oHbZ+CbZIkr58ApIQiU+RKYpRkY5wxKiQuBvzpNBbnMVITA8ST/8LJIprGeYyC7VHGs8c1V5cNGyNDiMP73DwppjSKw7rjqcOaa8uWZ45bnjpouLpscX4YJQZDD25h1C0LbNKBsnvf6xoF9ju/8zv8x//4H/n93/99Qgh89Vd/Nd/2bd922y/uT//pP80v//Iv80d/9Ec89thj/M//+T/5nd/5HT7ykY8A8LnPfY4rV67wHd/xHWcfk+c53/iN38gnPvEJfvAHf/BFf92u6+i67uznL9ZmkSR3glca/3U61qbtPUfrGyt5pYDOev7w2SXOBWaVoe48Pjp8ENR9z7KxZ322IaY+tCRJXj3DjY2FhiHYugDeR6psqI4SBIXSFJkkhEhmJBJJYQKjIiNTihgis1KjlaK3nnFh2KgMZa557rjF+YgUAnmyjfF0UowPkevrjo2Tdb3jXJGZYRlE3Xv8yWay56t7z6xIM27vda853J76lm/5Fr7lW77ldl7LC/z4j/84x8fHvP3tb0cphfeen//5n+ev/bW/BnB2gG1vb++Wj9vb2+OJJ554yV/3gx/8ID/zMz/zxl14ktwmrzT+66i2HNcd685R5ZoqU6w7xxPXa/7g6SOePVxjQ2RxYKlyxWZleLq1LJuhLy0GEGmtbpIkr4Fg6M9XgJEwyiAMy3YJRGpryZTmqLOYXDFBo0VkZ1ziQmBSFjy2N+XBzRFPHa5QUp61LUwKTX5yMKztHcvWMq8yRtmwrex01OFR3eN9ZFoYOheY5BnjfNjc2FlP23uOG/uCNeW5kswq86J/ruTe8arDbdM0/If/8B/483/+zwPw/ve//5bqp1KKv//3/z5FUdy2i/sX/+Jf8Bu/8Rt87GMf413vehf/43/8D9773vdy4cIFvu/7vu/s/cTz7i/EGF/wtpu9//3v533ve9/ZzxeLBZcuXbpt150kt0uuFZlSXF22TPNhKHmmJYu255nDli8cNHTWkRvFpY2Kaan5f1eXPHPQcn3Zsu49de+4ctyhpaTMJE8drlk2HiL0PlVskyR5ZadTBiSQn1RpcwPTKiOTkt47pJAoJVk1PajIRmmotKb1nrqHwvT0IXBpVrE1zjAKhFSMsmEW99Y4P5t4ADAtMq4sW0KMTEtN5zzL1g4rduv+5MBYIFOSSXkjzmyMMpaNo9SKznqak7tZs+LWsWHJvetVh9tf//Vf59/+2397Fm4/+tGP8q53vYuyLAH4wz/8Qy5cuMCP/MiP3LaL+9Ef/VF+4id+gr/6V/8qAF/+5V/OE088wQc/+EG+7/u+j3PnzgFDBff8+fNnH3f16tUXVHNvluc5ef7C2xVJcidprefqouWJ/ZqnD2psjGxUhkmhubpqqVvPpNBn1YrPHyx54nrNunW0LrDqHIRI4wIIWDYdiyawbj29B+JwKzGmZtskSV6GADIJIQyV2sKAi0Pl1lpPlkUEkRACgsjOOGNW5lzYKjFC0oeAtQHvHfNRQVXoYdzXKGNrZJBCnBwg69ie3Ai4Za4oasmydcwrw/Y442BtuXLc0ttANVFMcsOk1LcEVi0FWgl2pjlCDK1XQpBaEe4jrzrc/rN/9s9eEFw/9rGP8cgjjwDwG7/xG/yjf/SPbmu4resaKW8986aUOhsFdvnyZc6dO8dv//Zv8+53vxuAvu/5+Mc/zoc+9KHbdh1J8qXWWs+T+2uePmrQUvDQTsW69Vxft3zqmSOUkLzz/AyjBc8etggZeWq/4ZOf36ezjirLcCFwsOpwEUotaX2kbj2tAzVssMSnloQkSV6BYJhfG4BCgzIS2wVcAK0DnVeEKMikZHdaMC8M29NhKkLtA9p6TGEojOShrREPbFRkWuIDjHLDsrVMiuH7ZePOgmqI8OD2iEKrs/ME00IzzScsZwWT8sYX9ze7+dBYCrT3p1cdbk8PdZ0qiuKW4Pl1X/d1/PAP//Btvbi/8Bf+Aj//8z/Pgw8+yLve9S7++3//7/zCL/wCf+Nv/A1gaEd473vfy+OPP86jjz7Ko48+yuOPP05VVWlbWnLX6Jx/QWXhuLZcX/UURjEphifvSQGFkTxz1GKd5+nDmto5DteW3geeOWrYX/TY6NFaIoLAhkDdBVqgLCQn42zx4UbfXJIkycu5MQlBYKRk2XmchTKH8xsVI6PxMZIrRabBKIHzkdYHMiUY5zk745xMSfamJbPSEIF179gaZXROsmwtWgpWXU/ZDcE3V5K96TDmcO7MLc+Tp7O/X0w6NJa86nB7fHyM1jfe/dq1a7c8HkK4pQf3dvjFX/xF/t7f+3v80A/9EFevXuXChQv84A/+ID/90z999j4/9mM/RtM0/NAP/RCHh4d8/dd/Pb/1W791y2rgJLkTnW4du3nCwTg3lJniYN0BkcLc+k+0tp6ri4a683z2Wo0QcVixu+5Zdo7OO7SSLGuPD5HeBqSAPkC3HlZWplCbJMlrpQCDpLMeAuQZaCVRUnFhc8TeOOPKqqNtHfak1anuPYVWEANN79ncyNBaoE6mv7Q2YpRkZ5KzaBzrzrLqPDMb2RxlL1ire7NZZYbn0HRoLHkRrzrcXrx4kf/9v/83b3vb21708T/4gz/g4sWLt+3CACaTCR/5yEfORn+9GCEEH/jAB/jABz5wW3/vJHkjnW4d63y45Yn5uLUc1z219Se3Am8cjOyc53PX11xb9XgXQEaqzOBD5Lh2HDQd0UWs93TS01gQETIF3qf2gyRJXr8hZEZcgI2RYmtaYuLQ29r3gbV1hAir3p0tUMi0ZHOUkxvFtUXHsrVsVBk+xOFwmhRIIci0ZGeiqDLFJHdc3CzP7li93PXszYqzAkE6NJbc7FWH2z/35/4cP/3TP8173vOeF0xEaJqGn/mZn+E973nPbb/AJLkX3bx17JRRglkpubbsWDQ9EYHsHaOTFZKfu7ri6YOatncc1D1GKpos0lrPylpiiEgF1kIXwZ6MQbBprW6SJF+ECDRuGK2iJRilyJXibXsTEJLWOq4teqSASaHZGBVc3KhYtI6Ddc/mKGN7nCNkpLUBpYZnpElhyPSN9kYXIlvj4hWD7anCKIrZC1sWkuRVh9uf/Mmf5F/+y3/J2972Nv7W3/pbPPbYYwgh+MM//EM++tGP4pzjJ3/yJ9/Ia02Se8LLbR1rrce6wOHa0lpPpiXzKmPZWp4+alhZhwsRFQU+epyDtrMEN1RUlAQiaZVukiRfNHXyzQLBw6hUKCnJtCTGYbvY5e0RrbXsLyxRBASSc9MCrSTjQg+bx3rP3naB9YEQIqvGobVgd5oTY/yi2wlSoE2e71WH2729PT7xiU/wN//m3+QnfuIniCeLmYUQfPu3fzv/+B//45cdv5UkyeClto4t256ri47eeWaVYQPD/rrj/z6zoOkcrfc8e1hTd57zmyVt73nmsGHVObSWtO0wRt2ktZJJktwGElAKcoYDqeNiuN3vQyTXishQtVVCMSoD15aOrbHh4d0RSkpCHGbdrjtPYz3h5OMe3q4ojML6wLJ1qZ0gue1e04ayy5cv8+///b/n4OCAz3zmMwC89a1vZXNz8w25uCS5Fz1/61hrPcvG8YWDNavOoSRoqXhwq0JJyZMHNYvO0rmAJDKrNJmSOBkxCnwMKAK5gDYO3yQ3hq4nSZK8HhHAQ1lCZTTjTDMuDPXJXaWtSUbjPP1JW9TOJGdzlKOlPDk0JjCFQUlFpgSTQjMtDQ9tj8i1etFJMUlyO7yu9bubm5t83dd93e2+liS5L+RaMc4Nx60l15Hry45V5+jccIhsf22RYjgNpoRga5Tz1p0Jn7u2xPpA7z37q47OBUqtMEqwbEBIyOMwGUGQ2hKSJHltJDeeNxSQKzAKytyQa01pFLke1niP8oyN0lD3HgnMi4x3XJiy6obnp81xjhLQuUBtLZvjilFuhgNm+sUnICTJ7fK6wm2SJF+c0zE2zxw2uBAwSnB91RNiZFxodsYFi7bnyqrHe48g0oWIdfD0Uc31ZYeUEueGA2UuQH7yr1lHaNJohCRJXqPA8IXxSINSgsxINIJZkbE9LdB6mF8rGNbdVplCK4kkY3uS88BmRWc9n7sGh3VPpgS9C8yrjHFumOQ6jehKviRSuE2SN8DL3W7r3HBSeJQrpAAlBdeXHX0I7I5z5lWOUQKjJIvGcW1Rs7aOUmsO1zXHtUMrgSLiYiAzEkQghGHQevBpOkKSJK/e6bwCwY1tZCJGciXQUoMa+m2rTDIvcg6bjsZ61p3nwrziLTsjItDaQJVpHjs35uqiY3/VUpYZD8xLNkd56qlNvmRSuE2S2+ilFjOcVitufsz5SIgwK4dZtblRZ3241kcOm44vHKzoXWDVOfZDz7oPKCUYbhpGqlIxzTVPHzcnBzagd2/qpyBJkruIBAoJ7qSdSavhi/IAEODSdsW5Sc6kMkwKw7wyjCtFpTVf+eCcR3enTEvzgue+rXHGuXnBrDAUmUotCMmXVAq3SXKbvNxihqOmRwAIcfbYunfUvcOGgPWBSaG4tuq4urQcrTquLDtq6xBAmWlWraUwigDEEFh3Hhc8rYLcCHo7zLbt0ymyJEleAx+GkGv0MBVBCcEo1ygpQUQ2JhnWRZrOYZRkszLszSresjNhejKrO82cTe4kKdwmyW3y/MUMp60JhZE8fdAQgbfsjs/ef5wbNqqcTz97zMo6lJRcX7RcXXU8t2hpe4eSgnGmkRomZQYxkHWS2nkQkasLh1tHeus47tJ0hCRJXpvTddzDwTFBphS5VExyA0rSn8zd3hrlbI4N52YlhZJIKVg2bgi1N7UapECb3AlSuE2S2+DmxQyno73W/XB7LoTIwapjXBp6F8428nTOs+x6+uB59qiht44+wKLuOa47tJC0LtC7wEalCVHhox/W7S47ln3Pqh7ibIwp2CZJ8tpIbkxIEGF4iwsRJSJSCkZGkinNwbqjMJK3VCPOz0qsD5SZpnHD3aq9WZF6aZM7Sgq3SXIbnC5mcD6wv+rpfaA0CnXSftBYjyPSWgdomt7x5H7NUdMDsGodR21PdCCkQEvFZpVxbdWybO2w8EEF6rZn1XqOm55lC6m9NkmS1ysyVG0zAaNSUBnFtMrIjML7YWuYzKGxnrbXLFrHEwdrpoVhZ5ozLQzHjeW4thSzFG6TO0cKt0lyG5wuZjhcW3ofbtmNnilJmSmOG8cT+zW5ljy3aLm6bJkUht56tFIED13wyCjItGR/3WKD46i1NNYjpaRpOhYt9KRKbZIkr48ADCcHx06eSMa5IQpBbwN5ppgVmto6DmuHlKC0Yn/dMcoVQsCiceRaUWWKVWeZO5NaEpI7Rgq3SXIb5FphtORg3bE1zm95LNMKH6GxjqOmZ2w0Uggm+TAl4Y+v1zx9WNP7QO8jWgwtC88tOpwL9D7QimG4V99D92b8AZMkueudbi3UgFTDzBVjhpaEzkVKM6x/EREWnaPuHDHApc2Ct2yPh48Vw/7DVWvJtWJ7nNHE4e5VktwpUrhNkttkVhiUFNS9o8z02bSE1g6HvwojqVuHjFDlmv11x3HT8+R+zXHbkynJqresmuFFpbGczMGFGMD6oWKbJEnyeiiGgFtl4COUWlAWhkmuqLuI8xGtIdeSAoH1HqKkyg3PLjvGRlNlgW7RsTkyFL2j6od53UK82X+6JLkhhdskuQ065xFCsDnK8TEO1VYb8SFQ957OejKlWFjL4VGNjJLrdcsXrtVcWTSsO0eIkd572g5cHA55yDiM6REyLWZIkuS1UQwHxtzJj9XZ6TGY5oYq12gl2B4XxHHkqYOato+AIMZIqRVSCuaVoWkd85OZtXXnuLZsybSkyhS74yK1JCR3lBRuk+SL8PzB5U3v6Fxgc5QhBCw7hxAeJSRSwaTQPH1QA1AaybV1y3Hdse4i7mSp+82bc0/3vIuQemyTJHn1BEOwzRWoAEoNd4JQUGhNaSSTTOGJRGBnVFD3AecDhZHEkxBcZZr5KKezQ9uU84FxrnjuuOPqcceDG6O0Uje546RwmySv0en82mH+Y0/nA1oKYvDYEHjqsOELBzUQsC5itGR/PQyhbfrAovWEGLh6pWZ/1YEYhqcHC91LJNgUbJMkeS0iJxXbCLkZemKVEpRGo+Rwd0hIwTQzjHPNQdOjpeD8tGB7WvLkQUMMgmmpmRaacqJZNA7rPL0TuBAYFzqNAUvuSCncJsmr9Pwq7cG6p+k9k3IY7XV93Z9VNZ7YX/HE9QapBZNckylJZ3ueOe4JAa6vO546WGO9xyhJZoZ5uM6l9oMkSb54w7EvCAGCgFIrZqVBKzn0x8qh93+zyhFE1nG4PeQZKryXt0uOVpYHN8fDGQIlmFWaSaE5bi2Xt0dc3hmfze1OkjtJCrdJ8io8f7Vu0zuO6479teWoUeRaooVAKcn/u7riyf01i9pxYZ5zVPdIAZ0NrFtHmUmarkMA1g3VXMFJb+2b/QdNkuSuo7l15nUBZGpoa4oCSiV5eHvEW3bH1G54HqoyjfOeKpdE4NHpDEEg05pZZfA+IBDMSkWhJIetJZeSzgd2JwWXNiuy06CcJHeYFG6T5FU4Xa1bGMlRbTlcdzx52AwB1QekEGyNMz5/veZg3RF8pMwFRa7pg+W5RQsn+9YPasthEwgM/wDrcKO3NkmS5LWQDJVWE296HpFDj61WglyJYXW3ENS958K8wI1z1q2jc4KdScHuJMcHgQ/D85IUYKTi3CRnlGdEEZmXho0qY3OcszXOaG1gnKfZtsmdKYXbJHkFp6t1fQg8ddBifUBJgRRQaEltI9dXDa11PLdqybVmUgrWfU9rPZ0NrFpPmUkOmp668QgiSkAnb6y/TJIkeS0MwwFUe7J+WzG8qGcaskyTKcHl7Qm7kwwbIqNCM8ozqkxjx4Fw0je7PSmojCbPJDFG1p3n+qqFoJlXGqMUW+OMSWGQcgjJuZLpIFlyx0rhNklewXFteeqg4bjpaF1kUmi0kCgp6X2EGDhYdhyuevoYmGcGGzy5UTgfWHQWHyLHdcdxbfHBs2wCJy1uKDm0JKRDY0mSvBan/fmnixkEw9hAACEC4yxHSUEUw0GyeW7Oxg4+ujMeJieoYdzXrBzmdPswjAKrsorSaB7YKIlRsOosnQtIMcz0nlUmHSRL7lgp3CbJTU4nIQgxnC5+btHy2edWfP5gjfOezTJDCsHaOrresbYO76HKFavGAoJV73AeoojMCk0uJXXv6JwjRtAIfAQbhhen9PKQJMlrpRhCbQZIeXJw7OQxCTgHCIGSsGh6hJBMSs0D84rNyvDA5ohrqw4toSoMnfOEOLQkTHJDkUkEMKsycq2YO3P23JhaEZI7XQq3ScILJyE4PyxfWHUWowUXN0o+d31N6wOh6dmockIU2ACTzGCUoLGerndkyuCjZdV4ItB7jyTQWY/zHqKgMtBE6EOajpAkyaunGUJsYAixWg4rdPt++LFWw2GystBkRtC5QKk1F+clf/KRLTZGGZ0LzKqhxeDZo4YNpdiZ5LeE1+PGMitu9NSmQJvcTVK4Te57z5+EoKXg2eOWK4sG5wPn5iXmZBNPiNC6wHHdozXEJqBLODcrGReapw4brhw3hBDJtESebigLUPcef1LRVSdrdU0c1mAmSZK8GgLI5HBnSQsYlTDOMvoiEkMkIikyUELigiAS2ZsXPHp+cjIGTCClQIphhu2q0zy3aCjzEaNM40LkuLGppza5q6Vwm9z3TichzMrhibx3gd4HtsY5X9ivaTrP9qTg3Kzk6qIjEDioeyKR3WnJ3jTnuHFoKSm0JDcKJYZf10lJZyPFyYnlVdPT2GGAOuLk+yRJkldJAmUGCEGhJdMqI9eaWaHpXaR1DogEH9md5rzr/IxxaZhXGbX1CGBznJ/Npz0/K3gmtPQ2EoJLPbXJPSGF2+S+djoJocpuPImHGIfKqxKURrLuHLMysDXK6F2gbi3CgBARczLnsdSS0ki0lJyblTxz1LJsPHXvQQSUFsQ2EBkqLh4IKdgmSfIayZM1urvjnCgFRgkmRjPKNFpFpoWmdZ7CSB7dnfLWvTHXVh3OBRoXmBWaaXnjpV9Jye40Z3danD2fpRaE5G6Xwm1y33n+obEQQcsbk8jl6W07KRkXhmurjtY5ehfxIbLsPfurFmuH0TqtG24HjgpN44YROUZJ3nVxyh9fW3O4FuwvO5reE04abFOuTZLk1bh5/5cCSg1KKoSUGKWoMoGQkcZ6nA8II5lVOe+6MOHBzREBECiWrWVjXLA7LW4Jr3XvmRWGSZFaEJJ7Rwq3yX3j+YfGpACjJc4HXIgYNQTcSEQJwaLpKTKFAL5wUFMYhZaScNKbO5oYRIwcrruTiodACaitp/dD1Xax7riybDmsbwRbQQq3SZK8PM3JCt2TQdhSgtFQZor5KGdzlKPE0O+/7BzWDpvDxpXm0kbFuy7MGOWGg1XH1ihj3TlG+dBqEGPEhZjm1Sb3rBRuk/vCix0aO31yr3uPjzApNMvGse4trQ0cNT3dcSTXAiUVkcgzRw0uRB7bnZEbyR9fW9H2ns3NjFXvCSfTEHrn+OzVNc8c1bS9I1fQeuje7E9EkiR3BSOgygWtiwgxTETQCiZFxs6kIFOSzXHOOy/MmJbDYdbeeYyUbJyMLFw0PZmRjHPD1jinNIrOepqTL+5Tb21yr0rhNrkvPP/QGIBRglkp6aznuOm5vmxRUjDONUYNFd2u71m2nvMbBiEEu3GYcnDU9Oxfa3n2qGN/3bG2jlxLlo1j2Tn2Vx3PHbUs2w4XIfphHWaa+5UkyasiwIU4TFWRUOaG0ig2JxlaCqpc88BmiRSCcW54aFNwddUjYkQKyapzFFoxKwybo/wsxN7clpV6a5N7VQq3yT2vc57DukcrQef8C57QN0YZx3WPEILMKFoXkFKwNyu5tFXxmasrZoWhzBT7q5anrtU0NiLxHDUd686yv2xZtg5PQAjBqu44aj1NP7QhDOsdkiRJXp5mqNpm5mTjWITNScHupCSTkoubJdvTglIrMi3pQmDVOTItOT8teWCjwJw8f41y/YIQmwJtcj9I4Ta5p522IzxzNPTMKikYZYZJqc9uxfkwjP56aGtEphUhRqQQZFrSu8C8NCxby1HT88T1mt4GdmY5n7u65mDdEwIse8e1dYcUIBAsas/qeVXa1GebJMlLUcAkh9Ioeh+QUlGa4Q7SJFdc3h4xqwyXNkf4ALkWtNYzyTV70wIlBFHARjUsaRjlOrUbJPetFG6Te8KL3Wo7DbbLzlEYRWEUUgiWnaVznu1JjhBwuO5Zd8PHn85+PHX68z+8skRLwXFnCT6yvNZz2FgQsF+3LGqHcwEXAq2FLiXZJElepQyYFJI805RGMlPDxBYfAkYqtsYlX/XgnFmZUfeB2joAGhvYnQ6TDpatZZKbkwUNw3NhktyvUrhN7movNgFhnA+HJE77bHcmOcDw5F8YJkpyfdlysOpxIfDssmXVWPrgeWBWcWGjRCBoesfh2vLHV1c8e9QyzjXOBpz3XF/19D6QKYl1nkVrEQwrMWMKtkmSvAzJUKmNDD38pQYpJM55dKnZGecYJVjUgd2Z5uHtCfMyZ1IaQuw5bjyHrWNUKMpMsGwtmZZMS3022iu1HyT3sxRuk7vWS01AOG4ti8biQmRyMqx8Wmo651m2Fh8815YNzxy3TAtDriXkmi/sNzx71DK/mrM9NrQusL/uaDrPg1sVSsDn91d0vUefjBDrXMAFMYz50hAcIEDGIegmSZLczABVBiFA54bnikxJpIZca8a5HoJqbkBadmYl77gwY3OcY0OgMIqNKqPuPEZolJCMc02VK1ob0mivJCGF2+Qu9nITEK4uW1aNY2M0PJZrxaTQPHvY8sfXhxFdnfMYqRjnmo1RTrbqePKg5mhtWTYZGyNN8MMYnqOmw3tY9Zaj9bDRrDSKVW2H8TsKWsdZok13BJMkeb6RHiYf5EbhQ0TJgFaCSWUAwYVZyQObJUWmWTWW3XHBxVnJtDDsTnNCiFgfaMY5l7fHZFriQ0QrCTGN9kqSUyncJnelF1ube7NRpnn2sOGg7hjnhhhhf9VRW4cksllldM4jJYDAKEluFNPCDBXhRYNRJZnWaC34wsGa64sOfMRowUFtMfSs+56jtceFG5XaNO0rSZIXMykVEonRkkzDZpkjpODy9uhkHXcEBE3nKHLFO8/N+PKLc2alobP+rPVqZ5xGeyXJy0nhNrkrvdja3FPL1nK47jlc99gQmRWGJ/drDusWIQQHJwfIpoXi3Kyi95Hjuqezns1RxrK1GCUYlwbnIs8tO44ax0HdDeuCIgQXOOwdNkRCGCq1KdQmSfJiTreN+RCZVor5qGB7lDEtNFor3n1xzqQ0LLrhzpAQcHFe8fYLU/amxcuG2BRok+SFUrhN7kpCDBWMm9fmds5zfdnzhcM1decIMbJuLZ959pjPHzYURjIrMurO0dnAYfCMFg2TMuO49rS9J8skTe+JIdCebC/7/NU111cdSkoQsKgdrR8SrRSR0kAfwPnUZ5skya1KORwa0wrmVcYD85J3nJ+zOcnZX/W8Y2/K179li4N1h48R7yPzKmNjlDG9qeUqhdgkefVSuE3uSrlWjHPDcWuHLWPOc23Z8dxxCwimhUFJyRcOap5b9Wgp8D5y1Fh8iCxae7Z+d15laCWZ5grrT+beusDn92uc91w5rvFBMC4UvQsse4d1ERkDvQcXwfo0xzZJklvlQJEJeheHg1+ZZjrK0FpCgEe2Kx7crpiPDPORSe0FSXKbpHCb3LVm1dAfe9xY1p1j1VpijBAjmdE47wlExoVi0URKo04qIwIfYdU5jpqexjr2pgVXrcf5yNY4Y3Occ1z3PHPc0/tIbx3Ltqd1Hh8EmRZ03TDTtj9pSygV1Kk3IUkShqkIeTb8eJwr9mYFD22PeXCjJFOSyztjLm0WCCGJkXQILEluoxRuk7tWYYYXjGuLjqcPa0KINM6zXeUUueLqwqGkRAiBAKSEw5VDCDg3Kyi04Mpxw9VVj5YaLSPWR0KMJ2t6Bccno8BcCFgfUVJhTMS5gAXsSbCVQO+H71NrQpLcf8TJNw1UORRGIIVCCMF0ZPhTb9nmnRfmbE8yWht5y+4YJQWd9WnhQpLcZincJne1wih2pjmLzmKkIF9KRrkhxEgEJAHnI0WuOW4s+6uOzZHBWgECRrlGSckoV7QuUBpBriW9jTx31FD3gSKXtF2ksZ5MCXobWbWO/mRCQi7AR3Bv9icjSZI3zUhDZiBXEiEUs8JgjCBTimlleOvulIubFVIIlBwCbVq4kCRvjBRuk7ueEFDoYZTX3OcsW0thFLlWmJMNYs5Huj5QaImRkshwclkKybzK2J3mfOF6TTnSXNqoAFi0HbkStHZYDtF7j/cRHyMBzsKtS8E2Se5Lw3Ta4a6QlrBVFWyOM1rrUUoxrwy7k4LNapg/K4Sg7h2l0WnhQpK8gVK4Te5aN4/GOT1cdrqJbNFYVo3luLXUfWB/3SNiYHdaYLSm7hzzKiOU0PSOL+yvWVlPZhVPH7ase8szxx1N13OwtrQ+JVwgpgAAY6JJREFU0DsgBnwYfk8N9IB9kz8PSZJ86RQCSnPyRXWmUVJQ5prKKDZGGSOTYf0wp/aBjYoHN0t2xiWTwnCw7tECNiqVFi4kyRsohdvkrtNaz3FtWXX2bKj5sKEn0tphFe/1ZTeEX2BeaSTQusBRbRHKs1EaCiO5ctxx1AxzbA2wqjukUictDC29i1g3VGczAUEMYVZEyCVkYQi4SZLcuySgGCq1GxNDrgRRCsaZYV5mnJsXBCJGDC1OG+MJ41xzcV7hQqDKNFvjjPOzkkmpKTOVWhGS5A2Uwm1yV2mt57njls4PIVbLoWXgqO4JESqjOKwtUgge2hrxiJyw7hyfubZk2Tn2ly2ZEigpqXtPjIFJrjhY9SxdpO4dRgmMHMb39HZYzhABqcHa4ccRaNLJsSS550lgmsNGlaGUZFYaKqPJtGBvVrI9LqhyTWMthdZc3hmxNcpYdp6dSU6uJXuTgiIF2iT5kknhNrmrHNeWzgdmJ8PNW+tZNo5171g0jtIMixYe2CgYnxzUWLaW1nquLlr63nF11RO8pco1mVYc1A4lBDF6cqVwMbBoLM1JkD2d7rVO/QdJct+pFGyNCh7cHlMYgfORCxslRHhoa8ykHFoSymxE52CcKVobEMC8yNiZ5qn1IEm+xFK4Te4anfOsOkuVDS8UrfVcX3b0PlAaxdZYsmiGHttCD5H0at+xaC3PLhr2lz1GS7QAMkWMgkVraXtP5wOrdhgTFhU0dpi2EBgOjJxWa5MkuT9kQGFgVmoubVc8uFXhXOC47dmqcvzJdsTdScGkMHTOszsxTCvNcW2ZVYZLm9Wb/cdIkvtSCrfJXSNGCBG0HIZCLhtH7wOTwpw8HvExIGXg/11dYB0UmRqqumuL0oLeBTKtmOSK55YdVxc1RIFE4OOwlIEAPgz/OCzDbck0DSFJ7m0aMHLo4TcKlBKMcsPlnRFf8/AWj2yPOFh39C6yO83JpKTIJFLAurOURlFkktYGpsUwJSFJkjdHCrfJXUOI4YXHhUiIgXU/vKDAUNU9WvXsr3sWreXKoqE0hrfujri+9EQBY2NopeCo7vnjg5ZF7ThuHTEKNkrDqDTI3tN0YZjCABgxLGpIkuTeZRiqtBfmBcZI+j5QZorNUcbbz015aKsCBJM8Y3dnCK1KCsa5ZtVaEIIi0whIUxCS5A6Qwm1y18i1Ohv5lWtJiMMLzKrr2V/2HDU9hdbMS8O68xyue548rKkbx8Y4Y9U5tJAUWtN2LSFG5kVG6zw2RnwQiAjqZCLCaS9CyrZJcm/SDP/etYLdacbFjRHrzlGNFLPR0Cs7KTKCC0gt2BgZpqVhkms2RhmZlmfbxU7HEqZDY0ny5kvhNrmrzCozHCJrLV3vWbeOZ48bjmrLKFeE4CgzifMBISJPH9SsWo+PsD3KOWg6jBZMK836yJFriQ2eSaZZ1j2rJuBPAm1qRUiSe5cGcgWZgiqXPLwx4YGNglxrHtoZkUlJlWlyI4GhSjuvDJujPFVmk+QOl8JtclcpjGJvVsACPnt1xbVVhwDOzwoyI/n89TVfOHBcW3YU2bCNrPc911Y9EFm0nr1ZTtM5FsbhY8B4TR8iWgqMHg6SNGkyQpLccxRQSIZGemBWGs5NMjYmORc3S6ZFxgOziss7I87PS+bVUJ21PmCUTJXZJLlLpHCb3HUKoyi04sGtEbPS8MxRw7wy9D6ybBxXly1CgJGSWZXRukDvA88tepresjPOmFcZ+6ueiOLS1ojP7a8IMSIl9C5NRkiSe1EuYWOiaG1ECcHb96bsTnN2N0recW7KpY2K3WnBrDK3hNhUpU2Su0sKt8ld53Qk2M4kZ1JoGhtoXWB/1dFZT24kSiiqTGO9Z6PKaJ3jYO1oes9RY3loq+Kw7nnmsOH6cctzi4Z17+gcOJ9W6ibJvUQztB+UmUCgyFVgZ1qwN8+JwIVJwbsuzNidFinIJsk9IIXb5K5z80iwSTHMknxu0ZAZybjUtCs/bAvKBc5GilxQZRlSSHIjiESCC2gpWHaWZ487lq0leM4OhyRJcncTDN0HGhjnkGWGrbEh15rCSLZHOTvTgvPTiv/f27Z5YGP0Jl9xkiS3i3yzL+CVPP300/z1v/7X2draoqoqvuqrvorf+73fO3s8xsgHPvABLly4QFmWfNM3fROf+tSn3sQrTt5oN48EA5iWGiUE1xbDCt5SSya5IfpIRGCkYlYodiY5D29WNJ3jP/7RVf7wyorgI4aIt0NgjhGUTF/1JcndSAClgo0cdkaSi3PD7jxjNip4aLPiKy9u8nWXt3n3Qxu87fyUL39gzp96NAXbJLnX3NGv4YeHh3zDN3wD3/zN38y/+3f/jt3dXT772c8yn8/P3ufDH/4wv/ALv8Cv/uqv8thjj/FzP/dzfPu3fzuf/vSnmUwmb97FJ7dV5/wto3bGueHaqmNSaKQQlEYzLjQCwUHdM84klVH4AMvGcn3Z4UJkc2RYNg4XAp0NHDeO1g8hOUZwcZiSkHpuk+TuooF5Kci0osoVQkgKozFSsDnSvOv8lMs7ExASHz2ZUjy0PWJvmpYtJMm9RsQY79jX8Z/4iZ/gv/yX/8J//s//+UUfjzFy4cIF3vve9/LjP/7jAHRdx97eHh/60If4wR/8wVf1+ywWC2azGcfHx0yn09t2/ckXr7We49qy6iwhnm4PknTWc+W4pfWBGCOLdU/vHAeN55mjlnVnyTNFDIF15+lcYGOksSFy9bhHS6i7YaTYoulpnWfdpV7bJLlbCGCeg1LD6L/zs4qqUGghyY0iUxIhIvMq5627Y3ZnJZFIoRRSCi7OK966N049tklyF3m1ee2Ortz+m3/zb/gzf+bP8Jf/8l/m4x//OA888AA/9EM/xA/8wA8A8LnPfY4rV67wHd/xHWcfk+c53/iN38gnPvGJlwy3XdfRdd3ZzxeLxRv7B0les855mt5zbdERBVSZQkvBund89tpqeGGrDPWi4/88c8Rnr65xLuCip+s9XkiCD3Q+YH0g06B1Rdc5jtYt+UlVt7YOG4YXytRumyR3BwlMc9gc58yKjCLTTArDxkhTGc26tVgRGWnF287P+fIHZiczsgM2BAqluLRVpWCbJPeoOzrc/vEf/zG/9Eu/xPve9z5+8id/kt/93d/lb//tv02e53zv934vV65cAWBvb++Wj9vb2+OJJ554yV/3gx/8ID/zMz/zhl578vrcXKm9uuiorWdzlCGIFEbT9IHCKHoX+Nz+muuLjsO1I8TAQdPR9B4bAe/pw7ArPiBobWDRLHHOc9g45lWG85HOOSKC1kL/Zv/hkyR5WQaYV7AzLhiVhlmR8cjuhEmuWLceKcHHiFCSL9ub8u6H5myNcqwPWB8xSrBRFWkJQ5Lc4+7ocBtC4Gu/9mt5/PHHAXj3u9/Npz71KX7pl36J7/3e7z17P/G8I+4xxhe87Wbvf//7ed/73nf288ViwaVLl27z1SevxfMrtUqC9R7rAp+9tkQryazQrDrPvDQsG8tnrq7xLmAygVYCHyJaCGKMOCHQAiaF4XDd44HeeWIICCKHyw7P8PsIIjbt2E2SO5Zm+EJ1o5I8dmHGgycHwC5uVMxHOZNc4SOMMsX1dcdGmfF1j2wzLQ3wwp79JEnubXd0uD1//jzvfOc7b3nbO97xDv71v/7XAJw7dw6AK1eucP78+bP3uXr16guquTfL85w8z9+AK05eqxer1A4HPCL7dY+Rko0yY3/d8uSq56jpGeWa/XXPwapnlCm0UggkWklcjITo8DGilWTZOzrnEUKSaYlzYDSsnafzoAVomQ6QJcmdKAeqHMa5Ic8k56cVX395mwe3Rhw3lu1xjhSCtnfUvUcrweWtCY/ujc+CLaRAmyT3mzs63H7DN3wDn/70p2952x/90R/x0EMPAXD58mXOnTvHb//2b/Pud78bgL7v+fjHP86HPvShL/n1Jq9Naz3PHbd0PgwVVBGZFpplazlYdbS9J68UB+ueZ49alp0j14pu3XO4HqYfLJrAvIIYBeNMs4wO0Ud6B1IG1j6QaUmIAiUiMlOsl5begwd8hM6/2Z+JJElg6KU1QKaHn8wLzd60ZGOcQ4SHd0a8+8FNcqOYlo5RprFh2EB4fp7z8NaInWmeWg6S5D53R4fbH/mRH+FP/ak/xeOPP85f+St/hd/93d/lV37lV/iVX/kVYGhHeO9738vjjz/Oo48+yqOPPsrjjz9OVVV893d/95t89cnNXuy24HFt6XxgVhpa64kICqNY945Fa2mtZ31Q0/iAkpKtqkCKyLVVz6KxTApD23saG4BIiBHnA0GCDR4foOktXiuUlCghhvaHbhj3lSTJnUEDChjlsDnJydSwYvvcRsHWqOC4tjy0PeLLH5gRgVVrmVcZG6OMo9qysW04Ny9vqdYmSXL/uqPD7Z/4E3+C3/zN3+T9738/P/uzP8vly5f5yEc+wvd8z/ecvc+P/diP0TQNP/RDP8Th4SFf//Vfz2/91m+lGbd3iBcb5ZUpRW4kh3XPuBj+CgoB3keuLjqO6o4n92sO6x7vIdeCaWUY5YpJkXPcOhrrkULRWcdB3dM7T+8jbe9YtB5ixMdI52DVe3Ll0RJ6ByjIPXQvf+lJknwJGCATUJaSS/MR5zcqjICyUBSZxLnIQ1sV3/y2HaZVNvTlx4gUgs56dsZ5OiCWJMkt7ug5t18q9/Oc2zfyoEVrPV/Yr2m9Z5RplISDteVg3RN8wEd4YF5S5pIY4Y+uLLm26ll1lmcOa5aNZZRrGuvJlWJjkrE3LVj3jqcOGtatZdlajluLRLDuHL2PwxggP+zSDSHiPYiTXXydHfprBUP1Np0jS5I3jwQm2XDw8/y84CsubTDODeNMYZRka5zTucjerODcrECKof+2zCSZVumAWJLcZ+6JObfJG+fFKqrj3Ny2CkhrPZ95bsVzy5YqUxzXPXXvybVic5SxaHqurzv+6IolEBEIGut57rihdZ5xZmj6wKTQrPqAVJJJpll3jtZGLkxz/rj3xCgQCBat5WjdIYRgUhgaK5BCoAQcN5amH4KsIC1qSJI7gQIKBduTjIsbYy5tjdiblFzarFBKMC0M40IzyQ0bI5PCbJIkr1oKt/ehmw9ynS5HcCFyfNLnujcrXlPAfX71t7WeJw/WPLdomJZDWL66aDmqLfNKnLyv4Mphgw0RoyT+ZAZlax2jzNAFj9YCHyUbpWbROp5btBzWPaNCMzIKKQS5EbQOogCtTqo5QFVoJkYREHTOYftIS1rUkCR3gqmBzYlhc1TwJx/e5Csf3GBnmuO8YNlalBTMSsPmKLUcJEny2qVwex+6+SDXKaMEs1Jy3FiOa0sxe+UXk5eq/rbO09lAlWsKo3A+0ofI1jintZ79VcfBuqP3kc1RRu8D19se+khE0AfPJM84Pyk5bi3rLhDqyEHdIxCMjeLZo5arq44QIlJJjBBUWiGNwDqwjcOfrB7LjCHLenBgwzAlIUmSLw0FVObGj3fnBV92Yc6l7YqHNsd85aU5wNlzyLl5wawwFJlKVdokSV6XFG7vM53zrDpLlb34i0aVKVadZe7My76wvFT199qq43DVsT3N8D5Q944YIYSI0lBoyTNHNcvWsTsp2BzlrNqeq8uO4AOLzjLyilx7UMPvLwQ8sFmwv+rpXODJ4xYfoHOWXBnmpeG46Vh2lixKMqWJIrJse4gCpYeGW63BpTVkSfIloYFZDpNRxrzKKIzk/KTk3Lzkwc0Rm+Ocd5yf8uDWKC1ZSJLktkrh9j4T41Ah0fLFb9BrKWji8H4v57T6WxqFD5EYIdOSSaF5cr/GH3U0LrBatCglWLeeEIZKbuMCMUKVK6pckZmC3cZyddkyLwwBMFpipCREsEHgfcB5EDLSW09lFCBpXeDKccOy8axtZN17xgV471m2oHXE4M/+3KlqmyRvHHXyrcjgKy9u8Na9MVoJWhvJtGCSG7bHBefnJRfmJbvTAkiBNkmS2yuF2/uMEMOtPxeGHtfncyEixfB+L6VznoN1R+sCh3U/tAZIwSjTSAGNsyzawO60ZFFHjtbDXNrnjmFznLGsHfNKUZxUj1ftUEnOjaK3gdZ6ut7TGk/nHM4PkXR7YuiD4mjteOa4Y1Fbooi0Jx8jTloOFrUnROiB4CCEYRNZEKnnNkneCDnDjZbKwNYk47G9OdvjkosbJQ9vjehDoO49hVFcnJecm5WplzZJkjdMCrf3mVwrxrnhuLXMSvmCx+veMyteoSWh9zy3aMm0pMw02gwtCcvWsmwdCkEboOkcWSbZkBm5kTx92PG5q2u2xxnb44J16zhYWY7qllXj6YOn7gIHdUdjDeves6gtnshmlSEQrJuABIgBDyybYfaBFAJ0xFmw8dYQ24dhpm1GCrdJcjvlwOZkeE4BeMvOiK95eJu9WY6Wkp1xSVUoCi0xWqZe2iRJviRSuL0PzaphI9hxY2/pl617T64ks+rlt/wctxYfIlWm0WoIyEYJiPB021AoifeOo6bn3LRElYLWaoySNH1OpgXHTU/TBxaNPekDdhgFx7Uj+oAQAgiMc02WCVoXCFZQGIlCMi4011YtvQctwflICNDHYY7tqcgwID6evP2FcT5JktdCA5mESaV4ZGfCO89NcBHmleHrLm+xUWVMioydaY44+beXemmTJPlSSuH2PlQYxd6sOJt00JycUp4VrzzntnMe6wKbo5zGeibqRlwMRIwUrDrHuNBMS4MNkc4NbQvnZyVCCOaV4f88fcRxcPgIy87RdIHaWmKQzEaGy9sVQggOVxYXPG0fuDAvaTuHUoK2CRipAEfdv3QvrQdEHAKwD0O4FdwagJMkeXVyCbNCcXl3zGN7E77+8hZ5pogRHtkec3GzSkE2SZI3XQq396nCKIqZYu7Ma6qsnB7M2hgZ9ldDK0JpFEoKfIj0fjgsNik0e9MCFyLhZFWmYAjHo0zhAkgEQsLetOCg7pHdcCgt+GGT2QMbJUXuuXZsMVLQW8+yDSgl8DEQQiCGV94y5gARhgBPHA68uC/+U5gk94UCqHKYVhnj3PDWcxMe2RpzabNic5wDgu1xxsXNKvXQJklyR0jh9j73WisspwfStJJsT3KWjWPd35hzu1lm1NZR5vrk0NqNyu6ytUxyQ++HULw5NpRWI4hApNCKq8sO74YRYkUmOa4tkYAyEikEs5GiKnIO1x2t87jwypVYefJNK+jd8P6pepskL08ybBCbVZoLGxWXt0d8+cUZD8xGCAEbo4zSqLRoIUmSO04Kt8lrcuuBtOEFber0WfX3OLN0NtD7wKq1zKsMHyKN9WRKUmSCK0fd2VSEo9oRgWXvcTYQYkBKqK2n6R25VvTWs3/cszAWJSW29/Q+EHx4xYB6eoDMAvgbPbcp2CbJCwlgmsG4NFzeHrE3LXlws2RnXLAzK7g4H7E5yigzmdbhJklyx0rhNnnNnn8gLVPy7EDatDDMNw3HjeXz11dcOW6pMkluFIu256mDmmXTcWXR8twCRpXB+cCydkQZqYzhuO7IlIIoKXPJk/s9h3VPrhRGCgJgXQQlgfCybQk3h1ghhpYK+8Z+epLkriOAiYFH9yZsjDMe2R5zaavi4c0xFzZKMqWYlJoyTTpIkuQukMJt8pq9mgNpsypjXhkOa8tTBw2feuqIg9phtGBZ96x6S6EVIQRCjCw7S4wBHyOtjUxKUDJyuO555qjBhchoqpmUw6+JiAgEmRgmJAReuhp7+nYXUq9tkpySgBFgFBRG8JadCV92ac7GKONrHtpie5SzM81ToE2S5K6Twm3yuryaA2nTMiNG+P3lAV2IPLo7pukdde+ZlxnHteN4bYmA94Hnlg0xCialIROKdeu4uhz25Y5yTZVpcqPQ0lEZjSKChFwMkxDsKxwuS8E2SYZ5z5mG0kjKXLM9ztgcFbzz4pQHN0ZMC8PFecXONE99tEmS3JVSuE1etRfb/376fef8sCXseSH3M9dWLFvLW3cmhBg5bHrGmWaSGRbNMa33jDNDlSnmVUYMgkxLtiYZQgha56hyPUxRiJFl3dO7QCBSZJr9useI4cXavkSyrRQED+0b/hlKkjvbVMOkNIxLxd6k5MHNMVvjnId3St5+boYLkVlluLRZvdmXmiRJ8rqlcJu8otb6sxaE06kI49ycLXt4qcesD+wve8b5sJbXnyxSUFLQWMfWNKfrPCjBCA1SUGiJj7BZZfQh4CMIIsEGnq47EIF15zBCgBhWBUs1/L4v1ZZg/SuPC0uSe5UBygy2xzmb45ytylC7wN605PxGzkObIx7ZnaCUpMoku5Pizb7kJEmSL0oKt8nLaq3nueOWzodbtpkdt5ajph+mEQhBlSlCiFgfuLbqaK0nNxIXI7mWhJOVuEZKWjzr3jHJFN4HtBKMq4KnjhqW7TBGbH/VI5VAEmkdBAFKDOm46z0NQIhIhtm7L1W1hXSALLn/ZAyj70oDVW7YGOVc2CjZGxcoJdgYGR7anLA5zphXGbmWZ1+UplaEJEnudincJi/ruLZ0PjArb6zkNUowKyV/fHVFBC5ulhzVlnXvCGHYRrZoLPPSUBpJb+Gg7im1RABSCiSKuvc0faDKJEZJKq2HQy5K8OyioVSSXCmcFqytRStJbwNGS9atxQbINbgI3g0HZF5qU1mS3MtOw6xSwza+MlMUSjMuDfPS8ODWiIvzktko58K84O3np8yrDEjrcZMkufekcJu8pM55Vt0w7uvFHgsxsO49n78+lE0nhUGbobK7spbrqxYfAp+9vmbVWLrg0VKiAeuH6q1SIJUYxoiVGZOo+cLhmoNVj1YCLQSrzhKJ2BCo+4AQkBmF6z2ZEXTtcLBMh1unJqRFDcm9bqJhWhm2xhlGKtTJ3Y7KaEa5ZlRqHtoYsTMrmFcZD29VXNwcpepskiT3tBRuk5d0umpXS/GCx4YFDJYri27YUjTOTtbuGjItmVcZf3xtxcG64/qypXWOXGlaa1l1nroPzCvFg5sjiGJYy5tr1tahpBhm58ZIHyJlpqi7gBceLUELiZSQK0XrHCG4oeJrQNihDcGTgm1y78qAx85VfN1btggB2t5zabNia5TjQmTdeXIjuLQxYntSMK8MG6OM6U13YJIkSe5VKdwmL+l01e6wRvdGwO2cZ3/VcVh3+BDYGBUYKVh1js4Ftsc5UsDVRcMzxy3zypD3kqb3eASjUqOUZ3uUY7QieE8IcNw4jpuevVnB5iTn6cMGaz1lprkeW1on0CYSYkR7ARpqC0YPo8BiONnrEIfDa0lyrxAMT9bjDKpcsDsd8c1v3+Xy7hiBpDCS7XGB0RIlBGWmGGWKcWFSy0GSJPedFG6Tl3Trql159vZF4wDBKDe0tqc0CiEEYyVZdY5la2ms45mjBhDMRxnlTLE+6bHte4eshhYCKeD62tJYz1HdI4SkyDImuWZnlNM4T2UUPkRWreWosbgQcD6ilcA6B3EIti2gTzJ4aklI7gWSIdBmWrA5Kqhyxcho9uYFe9OK3XHJ+XnJ7rRAiNQ/myRJAincJq/g+at2Q4gsmh4fIrPC0NrA9VXL5qhACjBScG3V0ltPbQPz0rBuHLUIwziwEGicJ9eCResIMbDoLNujAgjEKHE+sAjDHNsQoXaeGIdJDCFEfBwOrdWdx0fo/BBkJWm9bnJ3M0ClYVwpIgIVYTo2THLD3jRnXOScmxW8fW/GVz44Z1aZFGSTJEmeJ4Xb5GW9YNWu9SwaR6ElmZaUmWJ/2WF9S5kpMiUwQuFlxNmAz4eQKgX0LnCw7mmtQzDMn52XAqMkTx3WLJqexnq2qoIooTKSeWVYNJGQa547bql7hyRiY8S5gHU3Ztimam1yNxJALocpB4WBrUnJziQnBJiXGdNSUxhFZiR7k5J3XpjxzgtTZifTDpIkSZJbpXCbvKKbV+0e15arxx1KCcaFocwVmZYcri0yRiaFwQdYHPSMi2Eurjo5kCalIAYIIbLsHGWmmJYZWiqsb7i+DtStY5R7SilZdR6B4MJGydG64397y0Hdo+UQYgVDr63gxjcpgZCqt8ndYWJgXGhyI9FSslkapBRkQrK7VfDo3oRpbkAIxoXm0d1xmnaQJEnyClK4TV61XCtitBSZQgjQSqKRnJsKRpnm2qrjqYOGzXFObhSPnp/y9GHLc8ct85HBu8iyt3SdZ905dsc5G6Ns+DVzxazKyaSi7R2rNiKFYN1ZDpqe43VH0wYyCQJBbhS9C2gVcDeVbmMcBtdjU8BN7mxbFbzz/CZ704JVa+l94NzJ1rAHN8ZsTXI2qgwpoMp0mnaQJEnyKqVwm7xqp3Nv92Y5R7Vl2VoKozBqOK0tGKYUaCVYtRbrI6WRLFrLMwc9NsCitljvqDLFtNQc10MrwizXrLWFTLHqPU3nGReaeWW4vupYto4QoSoMwQ+rd42RLNtwI8Se9CREm9oTkjtXDlQ5PLw55l0XpmyMDE0fGJeaLzs/4617U7YnOZ3z6YBYkiTJ65DCbfKqnc69neQaoySLxrHuHcvWcVRbCi0ZZQopBLmWOO8ojGKca549rvE2sj0xGJ0PrQut59pyCScv3hFwLpAbySQfqrqFFjx5UKOUpO4sSgqq3BAidNa/6Miv/kv+mUmSF9IMhxyVHNplYoBRCSOTcW5a8LYLc3KjsH7Y8veVlza4dFPLQQq0SZIkr08Kt8mrdvPc21wrdiaKmTNcXbaAYFoYnj1qkAIubo44rHvWnWPdOrYnBQKBEoLWWp496ui8Z1Fb+uDZneQs1pbDtmdSGipjkAL+77Mrnj1scdHTW0BEtApoGelc5IXrJZLkzTXSMBsZqkwy0hqlh7mzO+OCeWk4Nyt5x/kZszLDxsBGmbE7zZmW6YBYkiTJ7ZDCbfKqvdTcWxeGg2T76w4bAqXJ0UrQ+0BnPb13nJuVSCk4XFvW1pNlmlGmuLBR8Mxhx0HTwclmMu8cjRQ8c63j+qrDhUCIkGfQ9NB0DiXBujfxk5EkL2KsYWeWsV3lvOPChL1phRCCvUnO3rzi3Kzg4kaVZtImSZK8gVK4TV6T58+99SGwai1t72msp3eB66rDKEnvAp33XF1Y2j5gtKDph3m3e5OMxnqsh0mphzaGEIkEBIL9Vc9BbZmVBh8iR+t+mGUroT8Z/3WabRU3TU94sz4xyX1pfPoMGqHMJTvTknGueevumK9+aJvCKHamOW/dGVNkKgXZJEmSL4EUbpPX5HTu7bVFx6LuWXWea8uO0mj2ZgWr1uF84NqyIxKp9LAGtMz10JLQWyaFpsiGMWFIQWklIQ5Taldtx1HjMVKyWWbEGNBK4MMwF7fIQEhY3HRoTDGE3rOpCUnyBjPAfCSpjGZjnDHOFBujnDLTPLY95qse3iI3ktxIHkyju5IkSb6kUrhNXpPWeq4uW9adp/eRzgUKo5hXho1qGDz/1GGNlkPbwv6qZ1pmTCuD857DpmPVeRCC1nkEsDstUQJiDFytcnrfcFw7lJI0vScSKYzgtCXRx0jmoQ83Fje0KdgmbzABjA3MxobdccG5ScGsMigBCIWRgotbJe+6sMHGyDDODbPKpGCbJEnyJZbCbfKqdM5ztO753PU1686RaQlEjmtHrgWrZhjIpaTAh4gPHusDi6bj4taIxjqcC2ghqa1DSkFuBF3vWdU9i86yv+o5XPeMSkOILcu6ZdV5rPPkWqK1RCCw3iFDIAg47G5sKEuSN8rEwLzKePuFMQ9tTphXhlGuyZQGApvjnIc2Ky5uVmRapV7aJEmSN1EKt8nLaq3nuLYcrHv+8MqCVeu4MC+oMo0LgcZ1zLRBZ0CEGAJGCYiwdoFF6zmoe8aZBimI4mSLGLDuPKvGERE8t+x5an+FkPIkOAtiBAI4Fyk0tC5iraV1w4ilLP3tTd5AChhnsDst2B0XPLwz4lveeY6HNit2pwURsC5itKAwqZ82SZLkTpHiQfKSWut57ril84Fla3EhsDvNaV1gf90zKw2TwtBYzzg3FJlkVmbUNnBQt8gOqkyiGSYqLFpLoQQShfeBK8uOddshZMW66Ye1o0qyX/dEAiFEeu+wAY5qj1bQeSCCi2C7N/szlNyLJMNBse1pzlt2xjy0PeLy1pg/+dZNLm6OU4hNkiS5w6Vwm7yk49rS+UBhJJ11SHk6ukjSuUBrPeXJGtzOOUQLWjqePqz5/PUaJYc2hXUfUB4OVh2LxrI5zlEKVo1llA/heNk5JoXm3HzEk9eXrKXEaMXIaNre0QUIAZQCo6Bz0KQ1ZMnrNNwbGL4vDVzaKnloc4zWgiJTbGQZW+OcnVnJw9sjHtkZMavSHNokSZK7QQq3yYs6XbVbZYq6dxzUluPasm49RkmMFPgQ2JuWQ4V30YDoOFgrnlvWLDtLiIHSKHyMjIyisYHDuqdzgXFhqArNvFQct5517ymMpO0ttY3UnaXuI1IMa30FoE/+tlo/LJNIktejkDArFFLBKNPsTQv+9KN7fPVDG2xOMnbHBS5ElBQoKZgU5s2+5CRJkuQ1SOE2eVGnq3adD+wve2yIVEbjQiTTwxSDde/ZnuRsVBmfv77C+QDl8HE7owwXIlJLms6hpcSFQBSw7j1VZjg/ywhR0Pc9x02Hc54Qh2ArhKDreloX8HEIszGCDeDj8OMkebUEUKhhlNz2uGCaa/amJVuTgndemPH/PbbD9iRPLQdJkiT3gBRukxd1umr3cG1BwM4457Du6V2gtQGtoO4d1xcdUUBpDBtzjQ8QY42LkcJoci0olMSHgBKCUmt67+m857llz7LuubLsqBvPYm1ZdY5ApLOBzgdWJ5saSglGC1SItA76FG6TVyAYDoVNCrgwLdmbFZTGoLRka5xxYVYwKTK+9uFNHtio3uzLTZIkSW6TFG6TF5VrhdGSg3XH1jgn15LeD3vBvPdcOeyw0bFqPbuTDB8CISoQgmmu2V9bMi3ofSTGyLVFR+sis1ITMCzWlucWDa31dC6gdWS5DkQ6AhJBJDL8BbUMCxqUi0g19N6mbJu8lErCtFSMCsP5Sc757RFTo5iOcmaFZl5mTEpD5wK7k4KLmynYJkmS3EtSuE1e0qwwKCmoe0eZaTYrg/eRK4sWqeDSZESuFQ9slHzy8we4RcflnQm705KD2tLZQJErrhzWrHqHkhIPlJlk0UVypQkReuupu4D1Q2g1MmCURMtIYQA7zLLtPODSit3kVoJhY5gU8MBmwcM7FQ9ujLgwK/jmd56js5Fl22N9PFv60bvA3rTgrbvjtGQhSZLkHpPC7T2mc54YuS1D5ItMsTctaF2g98NoLgScnxTszgqUFMQYmRSGKtM0vWPVWbbGOVvjjCvHHcdNx9VFSxBQakndefaXPc57bIhY66l9wIY4HBiLw+YxF4ewm2vYGEkWdThrRdACbEzV2/tdDlQ5zMuMLgR2xob/77FzvOuBOVWmeWh7xENbo7NZzavO0rrhvsCoUOxOihRskyRJ7kEp3N6lnh9ib34BDycHsL7Y9Z+5VmyOco5by7ZRdNbjY2RvWmCUZNlaJrmhyjWb44znjj1Xj1vKTCGjoLaW47XFhci5Wcko13xhf82y8xACq76ntYGu84R4Elr90IJwyjqAgFEgTw6ThZRq73unrQd5JukD7I4L/sJXXuBrLm+jlWCSG/amBQCFURQzxdyZ2/aFX5IkSXLnSuH2LvNiIdYoSWM9QgiqTKGlwIXIcWtprWdv9vorVLPK0FpPYz3eB7wLWOlprSdTkkmpkUKwWWWsW8sfPbtGqkiIkEvJzrik7R1CQGk0u7OCZbti7T29j8OqXgI+gGMItlLAyZIzRITeDdMRtGTYWEaq2t5vDFCYYbudkTAucnJ9cpBxnPNNj+3wtZe3KYx8yS/qUqBNkiS5P6Rwexe5eWPYzSH2yf2a3nku74wxathta5RgVkqOm2E+bTF7fS/shVHMK8MXDhqeOaq5uuzItWB3UrI1zs4CRJlpFo2jyCSbI82yCcwrQ640B+uGo8biY2Ba5mxOeq491+JcOBmkL8lUoDnpreVk1JdSgIAYhmrt2g+n35N730iDVsMXOrlUCC3YrHIe2RlzcV6RGcFIa+Yjw1c/vMWlrSpVZZMkSRIghdu7yunGsFl5Y6h8jBGlBCoIlo27pVrVu4AScLDumI/M63rRb63nqLZkRvKWvTGb44zjuiczkmU7/H65VngfaZxnZ5ozLw1SdoxzQ+sC1BKFYNlaLs4rJrkmhKFKG0IgEM/m6kqGqmxkCLL6ZNWuO/3zkqq29xrFUJmNgDEwziXbk4IqN8gocCEwLhTvujDj0d0pjfPsjgs2xhlbo5y9WZECbZIkSXImhdu7xM0bw24WYiSEyDjXrHvL1A3/SxeNY907gg80NlDlwyamV2pPeH4v7/MDtZYSgaD3gbpzHCtJlQeeW9RUmSRTgoPacrAeJiBkWrIxytAysmgCi85S955JbrAuEAR4G+lO0msmIIiTVbsSfBiquYqhJ/eV5tuedC4kd4kM2JpqcqVOKrWSt+5OeMvOiGlhuL7uIcL5ecHGKGfZOjarnAsbFZuj7IvqKU+SJEnuTSnc3iVOK5v6eXtnpRBIKYgMj7fWs2wdvQvDi74UhBhZthYiL9l/+2K9vJlSrDrHpBz+mnRuGMI1qzRtHzluOq4tOyb9UKGdFhmboxwfAj7GYUpCiEwKzVHj6GxEqYiNkb1ZgfWeuhf0rh/W6wLIYbSTFOCGS0bLocrbvYoJCSnY3rlO/+aedJtgJIwqyTjTbI5zRoXm4XnFQ9sjDmvLsvNc2hhxeXfE5ijD+YgQcHGjosxUqtYmSZIkLyqF27vE6cYwFyJG3Qi4mZaMMs3huiPT8izYToqh0rpsLbMyZ2eSv2T/7Uv18h7WPQfLDiULegfr/kbwHWWG3WlB54bAsTXKQYizeaKlUWyUGU8frumtpzs58HZcO8aZYdn2ZEpBDs4reu/pPTg/BFQthnm2ERAn1VvJEIwsqTXhbpIBVQaFltT9sN2uyjW745zZKKMymq1pxpdd2OCb3r5LmWmO1j2L1iKFQCuJFLBZfXHTP5IkSZL7Qwq3d4lcK8a54bi1zEp5y2PTUnNt2RJtwIdIYRTOB5qbJhoAVJli1Vnm7tb+2xfr5TVKMC8znjqo+cxzazbGGaVRKCnwIbLsLKtumICQG8nmKGfRWnoXOW4s00ITC40QcG3d8dDGmLJQHCy7k01nQ2jp/XDIDCytdSzbYdA+cQi0ghvBVjK0Kri0oeyOpYBCQp5JOheGTWG5ovcR5yNTrdiZFlRGMhtl7E1KJoXhax7e4KsubTCrMoCzL85u59zmJEmS5P6Qwu1d5HQs13Fjb6mwtjbwwLwE4KnDGgAlh1mfk1KfVbp8GPpvW+vPgsJL9fLCUBU2UvLMquH8vESfTGLQSjBRkmePmuH3UppRPsza7V0g+shzy5a2D6x7xzjTXN4ZMasMnwGePmqIMeLCcC1SwLhUDB0XlhAEXYgod+vhMsew4CG585z+7ckUFDlkSnN+rrm0WdHYgPdDG8KDWxUPb4/YGBXsTDJGuUYgePuF6YuG1xRokyRJktcqhdu7SGEUe7PirDe2OWkRmBXD7VohTvpylSDT8iwYtNazbBzHTUfnIkpA2wdm1VAde7FeXhiCb6YFmYJrq5Z5NVRvXYgsGovzgf1Vx3FjmRQa6wONdUgFY62pTIQwwjNMUsitYH/V0dvI+XnBrDJ87tqKw3WPCGCUYloKQOACLNuOuhuuJZL6ae8EGoaFGgwLNXwYZs9mGnIpmFQZuVFsjTPevjdhPsqo26HB5PxGxcWNinmVsz3JhgOLjWVWvL5JHkmSJEnyYlK4vcu80raljSrjuLW3BNvrJ60AIcLOJGdSmrMFDxsjg/OBdefItCLTN1oeTseASSSNDayOagqlyI3Ch0iZK5QQlJmi6T2HtcX7yIXNktJonA8IKamMJET47NU1LkYmxfD7VGboFS6M5tqyofMeCGilMEqQKUmvAtEPExRkfPGQK06+FRLqlIDfEBLYyKEsMrQQTEtNZx1HraMymo0qY2uasVEaxnnGhY1q+GJskjMfZzgXyYxko8qosuELpOPGkit59kVWkiRJktwOKdzepV6q0vX81oVFbal7h1YSrSS5kcQIs9JwbdmxbIeRYYvWMi0No0wzPenR3V91HDU9e9OS7XFG3Q+byTrrGeWKWZnROc+8MlgfcD6Qa8mitoxmmhBhkmkyo1ASVq1je5wRkRytG5ZtwEfBOFcIcqxraRxoIRBCkBnNRHh8DNRdRPobh8zgRqgNDHNSX1h7Tr4YkpMnCAEbleAt21PKXNP7QOsjmVZsj0se3B7zyO6IrUnGvMjYGufMq4xRphgXwx2FGDm747Bs3S13HNIBsSRJkuR2SuH2HnNz68Jh3XNt1SKEIMSAlIL9VY+UFiMlq67HusiFjRIloLGe3npa6/Ahsmo9W6OcpvdcXXaEOPTtXlv2nJ8VZHqYVzspMmKEg5VFENlfW66tWnbGBZubFUd1z+euLbm+7igzQW4kaxuxLrJZGhrncWFojZgVEqUUdeeJMTLKNCFGnO1BDyGp9xA8CHkjfAWg9m/yJ/8eoBkmVUgJVSYY5YZJoXjH+Snb4wqEoMjk0K4iJQ9vj9ka5zy8PUJJgVHyJQ9/vdwdhyRJkiS5XVK4vQedti6UmaLu3cl8WkFhbhxCe/aooXNDeK0yTZVplo1j3VuuLjpa67iwUdH1gv26x/pAlWmsg846nry+psoUF04OsuVGsT3JgIxpaZkUN3qAlRSs+gAxIoTEeo8RAlUo1r1lf9UhEGyMcrQWrHqPdhEfPFJCCILtWY4PEesjwUfq3uEjlHrYYNb2aYLCqyEYFmUIMRzOCwxPApMMlAYtNaNcUhlDWWguzUsmpeahrQnnZgWjTCPk8EXGKNfMKwORVz13NgXaJEmS5I2Wwu09LDcS6wLORzZG2U2PxGHxQ4ysO3dWRSuMYuo041zz1GFDJiXRwMNbw1D9deeo+x6jBL2L5FrecktZK8nRumNaZVyYlbTOcVw71p1DCsH5eclx0zOrMkaFRktB2zt6GxES9ibDQaP9dc9V0dFqSaElrRtm5AohUBKOGwsn1ejODvNxfRjmqfqTb8mtNJCbIdyWmWKUaSSRznryXDMrDdMiI9eSzVFGlSse25vxFZfmxBC5vu4pMkUIw9+d0/aV1oZ0ICxJkiS5o8hXfpc7xwc/+EGEELz3ve89e1uMkQ984ANcuHCBsiz5pm/6Jj71qU+9eRd5pxEv7EQdVvYOFdXnP55rdTZj9LjukJKhL7ezHDeWZeNZ20DvAtdXPc8eNjx1UPPk9TXr1vHcomV/0bFsh4URx03PqreMC8mkVKy7wBP7Nc8ctVxbDIsnTCYwCjo3HFDaHhe8dXfE5a0RhdEUWjMvDSIG2t5DhFxLJrlhmhvyk9P7EZjkUN5nOUtz4x+yuOnHkiHwz3OYV4pxpsm0RAmBkoKtSc7Du1PeeWHGV17c4E9c3uLb3nmOb33ned7zFQ/w577iAu+8MOMtexMe3hoxyjS7k5zz04J5ZWhtSAfCkiRJkjvOXVO5/eQnP8mv/Mqv8BVf8RW3vP3DH/4wv/ALv8Cv/uqv8thjj/FzP/dzfPu3fzuf/vSnmUwmb9LV3hlObx0rMWwqO13CEEKktpZKK6pMEZ93P19KQZVpDuseGy3r3tF2AcFwEM36QOcDf3hlwReu10yroS9TKcnerEQJyWeuLFFaMisMpdbUncMHyaN7Y57Yr9mvW7yXGCXJhERrQZFprPNcXbZc2qjYnSj0wZori5YqNxw1jt72FJkhUxIBHOMpArQWOFnuEOMQ8u7FNgUJ5CdtAYiT5RYSlBi2fhk1vJMP4H0gU8OhrmXncC6yNc6ASIyglebyZsWj56Z0PnBhXnJpo+LcrLzloNdpH3dxciCscyEdCEuSJEnuWHdFuF2tVnzP93wP//Sf/lN+7ud+7uztMUY+8pGP8FM/9VN813d9FwC/9mu/xt7eHh/72Mf4wR/8wTfrku8IQkBpJIXJThYq3FifuzMqsCFQGPmC4m7de87Ncw7WLfur4fCZj5HCnG6dyjmKHeu6RwrBTBiUkkgxhOKdSc5nnGdeGnYmOcvWsmgVSgx9u7uTgnGpCFFwvOrIM4WMERchFwofoXcBhCAzikd2xngXeA4Yl0NLQ9d76t7jg0RISSTggKaD/s34ZL9BBMM/UiVA6+H/3UZp0Ephg8OoocWgyjSbo4xpmYGIXFta2r6n7gOVUUgpCM5jjEZJSZUr3nZuwldemrM1yonA2/amTKsXbzF4pRF0SZIkSXKnuCvC7Q//8A/znve8h2/7tm+7Jdx+7nOf48qVK3zHd3zH2dvyPOcbv/Eb+cQnPvGS4bbrOrquO/v5YrF44y7+S+TF1pTmWmG05Li2zCrDtNJn7wPw2asrQgApxMnGsEjde3Il2RgZrow6nKtZ9A4jJc4P0wusH6q40yrjwY0SIQQ7k5xRboZ2hMYyyhUQiYAQgipT1Nax6i0hRiplCMKzkIJpYehdwLrAbKqRAnzw1G3k0mbJ9ijj89fXTEqNPxkpFULEBY9zHhfE2UreuynYKoYDXc+vMJuTx6QExEmfbK4ojKTMFHvT4RCfBOYjwzhTXNoeo4TEB9AKdsaOg7rFn8z9zRcNCsnuvGBzlHFxo+IrLs6pcs2yteyMC3amxStecwq0SZIkyZ3ujg+3//yf/3N+//d/n09+8pMveOzKlSsA7O3t3fL2vb09nnjiiZf8NT/4wQ/yMz/zM7f3Qt8krfVn80NPq7Lj3FAYSWsD69axv+q4umjZHOVsjAxKSure88C8JDeKzvoXbDsD2BhlSBHp92tmVYZRAh9h/6hnVGjaPlBmahjjdbKatzCKde8QkWGyQYiUmUSKnM4FjtYWF4ae3QhcnFVkmWB/3aOlxLvAUePw3oMQbLuMayvLug9Uecb+qqV3jtxoIoLgIz7GW3pOX0s7wmnR+rV+zKt5fwmYkxmv4qRVIDB8K+WwqtZHqDJJlQ+hftH0GKUoc0WmFbYPOAJaDe0l49KwMcootGJzlDOvDCEGMq14cKMYKvTWEQKUWcnbzs2wPhAA7z2F0Ugh2J0UTEpD3Q/j3FLfbJIkSXKvuKPD7Re+8AX+zt/5O/zWb/0WRfHSVSXxvPvqMcYXvO1m73//+3nf+9539vPFYsGlS5e++At+lV6syvp6tNbz3HFL5wNVdmPM19Vly7KxTKuMeWWocsXB2nKw7lk0PbvTks1RdtYv+WLX0zlPaSRqnLFoHCFGeg8uREqtGOeSfWFxfjg9f/rZ1ic9vSLCuh/m5UohqHLJhVmFEA3HjaVQkmk1hKpla5EI6s5y1HgiJ9VLJbm6bLh23DKucjIVqZ3DZJreehaNxQaPPanaasC9hs/fqw2pp7/uWYvASVA9aXvFnfw65qYfn66pLcwwDq3phvfNBeQK8lwhpaTKFBtVzgObBdvjjP/37JqDumVvVnJhWnDcWPbXHcetp9CSS/OKrWlBZRS7kxwpJbNSM84NgYhSgSzC+alBn2yb25uWbIwMPkaeO+7wPiCkoLM+9c0mSZIk95w7Otz+3u/9HlevXuVrvuZrzt7mvec//af/xEc/+lE+/elPA0MF9/z582fvc/Xq1RdUc2+W5zl5nr9xF/4SXqrK+nrDxXFt6XxgVt6ouhklEAjWvWdagVHDoa0Lc832OOeo6Rnnmr3ZjS8Wbg60rfVnIXecG45buLQ5Yn/dMS403kcOdE9nPRvlsLVs86Rn83Ddc7TuWLQeJaF3kXXrhiULMbI5Kob1v7lm3TmOW8tx7VBSkCvB/mqoOE5LRdN6CJGmF6xthKYnImg6j3MBKQSN9cTTYKtBRFAnW8xeKeRKXrjGF4bpAu6mx04/S46TBQdq+L1KIWhtJJ70FUSgUBBPUn5pBKM8w4ZhtXFuIoUWZJlmlEk2qhyUJJewPSoZl0PYfWC74u35mMponAcpJeMiY9H3ECTT0rBZGeZVhpQQAzy4NeLRvQnWB3yIKCnItKTtPcetxbqA9REp4C07Y8psWH+c+maTJEmSe9EdHW6/9Vu/lf/1v/7XLW/7/u//ft7+9rfz4z/+4zzyyCOcO3eO3/7t3+bd7343AH3f8/GPf5wPfehDb8Ylv6SXqrIet5bW+uE0+msIuJ3zrLphxe7z377uh57Xw7qnNIpxMfxvzrRko8rorKdz/izYvHxrgxxmoerhe6Mk3gd6HxhlhnXreOa45jPXHFcWLcvGURrFZmXYmhQnYS/iYuDp45rtKuddD0xxAf7PU8d8/mDNONcnq4GHBQKZEqy7QOc8QUKVK4QQdL2nyhStEPTOI+IQZI0EFUFIQV4ofPAcNxHLi1dnc4YQ2t/0gGCYQlBmQ+W5scNyiMIMm7qOmogQYDRIMVREjY4oIWi6iJQwHWmKTNP1jkwp5qMcFzyz0rA9zjk3L3n6sMb5wOakJFOSGIc5xL0NEAUPb1Z82zv3MFpx9bjjuWVDCJGdSc669xzVFucDWgliFDy8OwTbwqgX/P3JtWJWZbftTkGSJEmS3A3u6HA7mUz4si/7slveNhqN2NraOnv7e9/7Xh5//HEeffRRHn30UR5//HGqquK7v/u734xLfkkvVWWdlZLjZpgJW8xeffCIcbjdreWt7Ret9eyveiCy7j3EyMYoZ1pqcj2E6iZyNv6rtZ7/f3t3HiVVeeZx/Hv3e2vp6r3bZjfigqDGdTQqes6IjuOWGY8a4zYkOeZEnBEVTcaQMJqgJhMm8RjjnOiosziOJxElTobRiYCK0USMiRoiRFERgQZ6q+ra7vLOH7e7QkE3IAhNF8/nnD5J37r11u1+8PSv3nrv+3zQ1U/Jj0g4BmnH3Cp069QPzCp36WV68mVypYCUY2FoGsUgJO0adPeX431uyyF1joln6Wi6RjkMqTMsdE2jxTVxLZNcOWBDbxFd09ANjUhBb7FMvhQQBCGphIFlGrSkLPpKAf3FkKaEQ3e+RCmMaEw4bM6V0DTww4h8KcTUDUIVEQ3MoIZKI2ErQhWvefUjiKJ4fas9sFWWpkD5VAIwDIY/HdcySfgR+cDHNQ0yKRf0EsVyPKttGjrlMMTRdDzXQKkQy4xIuTaOoQ1069LxLIO05+GZGq1pB8c0cS2DchAypsGju9+nrxigoTi4OUU6YXJQfQJTN2hNu7TVuUwup9iYLQIaY22DMIrIl0Py5YC0azG+MbnTN0USaIUQQhxI9utwuytuueUWCoUCX/nKV+ju7uakk07imWee2a/2uB1ulnVQwjbIlXzqg13v9KRp8QxrECksQ6u8zpZciXw5nj1NOnGgzRZ9SkFIS9qJQ+VA74aiH/LHjTk29hVIOCb5ckDBjkh7cceq3oJP0Y9oy7jUJy2USuKHEZahs7a7n019ZfoKPgW/SMo1Gd+UIuEYbOwtxnvQ5gM29PSQdC0ynsXE5iSOqdOVK6GUwrV1xjW4KGDVhhx5P8TxQ1zbIOPZ5P0IQw9wbJ0op+KZZcOIb1ArQ9HSsYKQiHh5QgQEURzolYIgAGWAY8ZvBMpBHHCjIF4PqxHvSmAPzMjGs8wajmWQ8Sy6CqChkTQNUvUem7IlcqVgoDOaIjIV+BqWoeFZNhkvbjlcLod4pk5HnUfCMzG0eA/flpRLU8rmw548Smk0pxw+1ZImQnFQxqMhYdOcjm+86837tGVcHNPAsYyqmXXb0GmsT8paWSGEEGIIoy7cLl26tOp7TdOYN28e8+bNG5Hr2RXDzbIO2nY2dVf8aU2sT8aLPybvK8S3PbWkXDqzRVrrXBJOXOJs0aevEGAPNFZQCtZuybMxW8SzDayBWdRsKQ7CzWlnyNA9eAOajkZbxqEchNQnLBzLoD5hUfAjcqWAoh9i6zqBCrENnbyu0Zf3KQchazb309HgUadbFENF2rX4VGuSYhhiajotKRdvoO1YTy4O59myX/mo3zA1CsUAvy9CtzXyQYhpKBpdi2IQz2qGUbxDgaWBQsexdDQC8mXQjHiG1zBAD8Gy439Hjq5hGjqWCaFSWJpOfcKhMWUTKoXSoNgdQaSwBwKzoWnUJSw0QNN02tMuIQE9/QGebTKuIUE08AakLePSXwqwrfj3rRPfNBdEisakTVPKwR1otLH17132mBVCCCF23agLt6PRULOsWwsiVZlN/TgyCSteL1vwMXWN/lL8vyUUiYEZvSCMMHQNU9fY2FdkfEOCTMKiN+/TV/Ip+VFlTaauayQsg3IQ4ZgGzWl7yNA9GNYtXUPTNFzLQCmNoh+yrqvA+r4C+WJ8S5dlGuRLEQc1eGzoLdBXKJMtBfihQ8Iy8B2Lnv4ynm3SWufQ2VtiS65Es+aQLQZEDK5H1RmfcahLWhi6RtG1aEg6+Cokl/PpLvk0JSz6/ZCu/jJ+qEjaBn4Q0VcMsAydKNLRtIiECY5lgga+H68fVkqR8kwakhalQAMibEvnsPY0HY0e72/OUyiHjG9MYGkGPfkS3flivOtE0qHgh6QcnZaMQ3dewzJCNF3RkrbpK4REkaI0sP3Z+MZEHKYNnb6ST8a16WjwKr/f4d7sSKAVQgghdk7C7T4w1Czr1vLleEumjxteBtui9uZ9tuSKZIsBKcegOeUypkGj5KtKVzJtIPC21DloGnT1x8sX8r5P2rFwLJ1QQa4UoGlxRyzP0Suhe+ubkgbDeqgU5kBw1jVYsznPup48+WJ841PCMQjDeGu25sCmJ694d3OO1pRLX95no1HCMePtsPLlgKaEi4qgN18mWw7x/ZCkq9Na5xCpiEIUUcqWSXoWnqFxSHuSOsfm3S1ZWksRUaiIcgWmHFRHdyGgUAopGyGubZItlCmHEZYe7yDhWgaOodOvBagyOBaEaCh0Mo6GYdjYjk5DwqI17dLX7+P7Dm31LuVQ8ceNYJg6jUkH09AZU++SdC00pWhMmjR4Ceocm95CgGNoRIZGfzGgvd6hJe2wKVuivxyQdiwaU3ZVXXf3zY4QQgghJNzuM1vPsm69W8JgR7Dd3UR/8CPreEcBHdvSSDkDY3lQF8RdyYIo3jPLsw2Ugp68j6HFSxhypQBX0zA1SDkmuaJPbyEgkwip8yx6+uP1nkU/QkORdm1MI27Fm/FsevI+2VKRzdki/X6IaYJt6Zi6RqgidAxyhYB8GEKkoemgGxqGQTxrikbSMcmVfJpSNgnLwLVMmtI2W3JlVm/spc61CIFCOSQIAjTTohwqSmHI+PoU45sSZIsBb6/vw1cRCTvko95+opIi41l4pkE5DNFtnYakjaHpmCY4ls4hrQ5+GJEt+LSmHSa3p0nZFsWyz5a8z8beAuMa471ibcsANBwdiuUQ17EJVYhjmpTDiHrPwtQ1MglrYBmFTb0XN84wNI2414WGoWloukZz2tlu3ezuvtkRQgghhITbfWbrWdZcyd+uI9ie3hiUdi0ak/G+plsbDEi9hagSmLJFn2IQknJMXCsOqblSgGvqGAPrgrvyJcbUe5T8kGwxwA8jykFIOYxY31fCs3TSrjXws2lszhbxowhb18iXFY5hECmFrccz1R/1FTE0nZa6eN2oHygsXce0dPpLAa5poLCod028JpO2OhelFKWwl4xrx40QgrjDVr4U4DkWtq6RceNGFZNakpRDRUPCoitfZm1XP0k3nhEOQsg4AUEUh2E/VOiWojmdQI8U7Q0JSkGIHyjGN3kc2l5HQ8Km7Ees7y2QdE2Stsn6ngLlUBFEEeObUxT9uANbW8aJm1z4EU0ph4RjYps6rSmX1oxTtU52cAa8rc6hu9+nFPxp2cgn8WZHCCGEONBJuN2H9vaNQbs6O2wZOq5p4IcRnh03d8gWfQp+SClQFPx4+62EY8Szo0FIOYhwLYOEHW8VtjlbQgPGNCQo+CGWYZJ2TGwzRKHhGjqhikg4JkopunMlbFPHs01KfkgYRuT9iIRSGDps7CtgmwZW0qbkR/Tky3TlynRlfQ6qT1L0fYpRRH/BxzQsNBSBgi25Mgdl4m2zNmVLNCQdQqUoJD10vRR3ElMBiYRDUymiEITUJ01MzcAyddDBMjX8EMY2eHyqJU1r2kXXNMpBRFPSYUJzvEuEhkbBD2itc0m7Jn6o+LArT1/JJwgUmYRFY8rBMnTSjklLnbNdfbe+Mc82jb32ZkcIIYQ4UEm4HQF76+PmXZ0d1jSoT9j0Fspki37cdCFpU/RD8uV479o6zyKMFPlSQN4PyLg2ljHQvMDQaEk7bMnFPWUPbk6xsbdA3o87lX3YVaS3UKYvH1AKIoIwor8cYtsGuqbRkLRpS7tYukZvKUABJV/RlnZornMpDLTt3ZSLby5zLR+lNPoDHyIwtfjGt1I5wHIg6VrYA+ua8+WQpGPiOj4TEwlakjYbskW6cz4HtySINI0gCLFtk5akjaZpbOgr0ZhyGdOYIDUwFsT72Rp6PENdn7ToqPcqe856tkF6oBPYR90FykFIczoOvbvadU52QRBCCCE+eRJua8yuBCbHjMNsEEUDrXr/1JmsKemgULimzvreIpv74+UEBT8iYRmkXRPbNCotXvuLIQ0Jm9a0y4Zs/PF6a0qxsa+IaWoQQSGMMA2dOtdCI15K0Jx2aE47+EFEthSQ9wImtiTpqPdY111gdWcfpSCkzot3NSiUIoh0IhWR8UwakzZhBBObkhgabOwrkhxoK2vo4JkGkYpIeRataLSmE7SmbcJIsXJ9L30DbYE926DOjbu4pRyTlBPPaBf9ENuMm1jkSj71SYtMwq7ac3bwzcNh7XV4to5tGrsVUCXQCiGEEJ8cCbc1ameBaXAJQymM8BwHQ9MIlRr4GF9RCiP6S/G+uXWuSYRGrhRQDiOakja6FjcviFBYhs5B9R69xSBuBBFE2IaOY+oo4o/9k43xNluOYVLv2fF+r6ZBwo6/Uo5JS9oBQBG3tbVMAx2NvB9QHGhjG0aKtjqPxqRFT94nUorevM87m3LUeRaOYaDrYOg6UQiNCZuxDQmaUg5+GNJbCPCVwi+HOJaOYejUJ+yBFsAa5VChq4i0a1HnmdiGTrYYVLblktlWIYQQYv8m4fYAte0SBn9g+6mMa1EKQjRNoz3j8c7mbNyAwtDinRRKAdli3AzCNePuW+Ugoj5hMbEpwQddeTYohWvpBKFCAa1pjzENHpqmEUaKfj/A1HXCKCRbjKjzLDzLxNTjsYJIMa4xgdlTZGO2SBRBthDQmnCo82wipejMFjHQUFrcZjhSioRtomvxfr2NKYN8KSDhGLTWuQRhxOZsmWwxoDXtcFDGJYgUPfkyPf0+45oS2AM3welaPCsNcYvfobblkkArhBBC7J8k3B7AhpqFBPiwK74hzTF1NmUttvSXaU456FrcYGBTrkRz0o53TwjiJQq6Fo83vjFBGEU0eTbFMKAlnSDjmbiWSTEI+GBzns25MpOaEjQkHWzTQClFtlimrmxi6jpRpEg5JuObktiGzuZ8kVApbFOjFIbkSgH1nkNL2sbWDfJRSJ1nk3RMLEMnW/RJuSZJxwQFJT+ks69E3g85qN6jzjMr4TTlWJT9HBt7S3yqNbXd70i25RJCCCFGFwm3oiq4Ff2w0irYMnQmtiR5b1Oerv4SlqFj6oCKtw5LOibNdQ7JgR0U8uUQDY32TIJxjRq9hTIQdzAzdY18LiRCMbElwRFtGdKeVZkhfbczDpjjGhPoA7s82KZOe70HGtiaQYTCseO1u/UJi6Rr0pUro2kanmVUbnhzLYP+ckBLykEpRX3CpuSHtGXcOPBuo6XOYX13gU3ZEvUJS7blEkIIIUYxCbeiyratgjOezeEdBpuyJfKlAD+KKIWKtBvvLTsYjONzdXoLcXMI09AZ05CgrxDQX46XMvSWyiRtk7GNSZoG1tcOGgyYvQUf29AplAM026QUhLTVuUxoStBb8OnJ+zQm46UJUaTIFgMynlXZcxfiYF7042UWfgSGHq/fTdhDz76mHJOGlEPaibcpk225hBBCiNFLwq2oMlSrYMc0GNuQoBxEdGYL2LrOxJZUZaZ0awnbIAwjQFH047W4da5JtuiTK4a01jk0p+3tnrd1wMyXA3rzEYVyicakQ0PSwjR0IhVfi2XobM4V0TSNtGPSkLArM8Aw0L5W1yo7QAwumxgM7NsKIoVn6bTXuwByo5gQQggxikm4HSGDnar2JER9EmMMZbhmEAU/JOVYuGZ889dQTD2etW1NOxT9iFwp3mbM0HWakjYNSXvIa902YHbUe/QWffwgwg8VYRTSmnbJJCw0DTI9FtlSAAqypequbEU/JO1aBJEi48azuvlSWBXYtybraoUQQojaIeF2Hyv6YWWHgsGZxV3d9P+THGNHdtQMwrN1NmVLO5wF1TVwbYNMwq66Wa2n396uPfCgbQOmY8bPHy7At2Vc6C3SV/TRgL5CGcvQ490NBoL31utld7V7mxBCCCFGNwm3+1DRD9nYW6QURlUBq7foUxy44WlH4bQUhBTKIZv6SiiN3RpjV+1oP9dCOdrlWdCtA2kmwccOmMPNpg4GcNcy6NLL9OTL5EoBrmmQcS0ak05V2N/V7m1CCCGEGN0k3O5DvXmfUhiR8f4U4ra+Eas37+Nmtg9ZW8/UDm5p1Vbn4lo6mqbv0hi7a6hwubuzoJ90wKwE8KSFUkn8MMIy9GGXaUgDBiGEEKL2SbjdR0pBSK7kD3vHfsI24javgbXd1lyDs72GDpqmKjdolYKQlrRTOX+4MT5pexJS90bAHHz+roZjCbRCCCFE7ZJwu48oRWX/2KGYukZBUWnzOmjr2d6iH6IG9o3VNI1s0aevENCSNnY4xt6wpyFVAqYQQggh9obtF02KvWLr/WOHMngj1tZtXred7R0cIxwYY7BZQTmIhh1jb3NMA9cyJKwKIYQQYr8g4XYfGdw/Nl8Oh3w8X4632do6JG472+uYBknbouDHY5i6RhQpooGp2qHGEEIIIYQ4kEi43YcyCQvHiG/88sMIpRR+GNFb8Ie8EWuo2d60Z2IbOtmB3REGZ3KHG0MIIYQQ4kAi4XYfGrwRK+NalPyQbDGg5MdbZw21hddQs72uZdCcdkg7Fn0FnygCpdSwYwghhBBCHEjkhrJ97OPeiDXUtluGrmFbOuOaErSlXVy7es3r3upcJoQQQgixv5NwO0J2NXR+nG239nbnMiGEEEKI/Z2E21FgV2Z797T7mRBCCCFELZBwO4rsaLZ3d7ufCSGEEELUErmhrAbsavezUjD0NmRCCCGEELVCwm0N2JXuZ9E+6lwmhBBCCDGSJNzWgN3pfiaEEEIIUYsk3NaA3el+JoQQQghRiyTc1oiP2/1MCCGEEKIWyW4JNeLj7IcrhBBCCFGrJNzWkI/b/UwIIYQQotZIuK1BEmiFEEIIcaCSNbdCCCGEEKJmSLgVQgghhBA1Q8KtEEIIIYSoGRJuhRBCCCFEzZBwK4QQQgghaoaEWyGEEEIIUTMk3AohhBBCiJoh4VYIIYQQQtQMCbdCCCGEEKJmSLgVQgghhBA1Q8KtEEIIIYSoGRJuhRBCCCFEzZBwK4QQQgghaoY50hewP1BKAdDX1zfCVyKEEEIIIYYymNMGc9twJNwC2WwWgHHjxo3wlQghhBBCiB3JZrNkMplhH9fUzuLvASCKIj766CPS6TSapn1i4/b19TFu3DjWrl1LXV3dJzau2DekfqOb1G90k/qNblK/0W1/rZ9Simw2S0dHB7o+/MpambkFdF1n7Nixe238urq6/eofh/h4pH6jm9RvdJP6jW5Sv9Ftf6zfjmZsB8kNZUIIIYQQomZIuBVCCCGEEDVDwu1e5DgO3/zmN3EcZ6QvRewGqd/oJvUb3aR+o5vUb3Qb7fWTG8qEEEIIIUTNkJlbIYQQQghRMyTcCiGEEEKImiHhVgghhBBC1AwJt0IIIYQQomZIuN0Nzz//POeffz4dHR1omsaTTz5Zecz3fW699VamTZtGMpmko6ODq666io8++qhqjFKpxPXXX09zczPJZJILLriADz/8cB//JAemHdVvW9deey2apvH973+/6rjUb2TsSu1WrlzJBRdcQCaTIZ1O82d/9md88MEHlceldiNnZ/XL5XLMmjWLsWPH4nkeRxxxBD/60Y+qzpH6jZw777yTE044gXQ6TWtrKxdddBFvv/121TlKKebNm0dHRwee53HGGWfw1ltvVZ0jNdz3dla7WssuEm53Q39/P0cffTT33nvvdo/l83lee+015s6dy2uvvcYTTzzBqlWruOCCC6rOu+GGG1i4cCGPPfYYL774IrlcjvPOO48wDPfVj3HA2lH9tvbkk0/yyiuv0NHRsd1jUr+RsbPavfPOO5x66qkcfvjhLF26lN/+9rfMnTsX13Ur50jtRs7O6jd79mwWL17Mv//7v7Ny5Upmz57N9ddfz1NPPVU5R+o3cpYtW8Z1113Hyy+/zLPPPksQBMyYMYP+/v7KOd/5zndYsGAB9957L7/+9a9pb2/nrLPOIpvNVs6RGu57O6tdzWUXJfYIoBYuXLjDc371q18pQL3//vtKKaV6enqUZVnqscceq5yzbt06peu6Wrx48d68XLGN4er34YcfqjFjxqg333xTTZgwQf3TP/1T5TGp3/5hqNpdeuml6oorrhj2OVK7/cdQ9TvyyCPV7bffXnXs2GOPVV//+teVUlK//U1nZ6cC1LJly5RSSkVRpNrb29Vdd91VOadYLKpMJqPuv/9+pZTUcH+xbe2GMpqzi8zc7gO9vb1omkZ9fT0AK1aswPd9ZsyYUTmno6ODqVOn8tJLL43QVYpBURRx5ZVXMmfOHI488sjtHpf67Z+iKOK///u/OfTQQzn77LNpbW3lpJNOqvroW2q3fzv11FNZtGgR69atQynFkiVLWLVqFWeffTYg9dvf9Pb2AtDY2AjAmjVr2LBhQ1V9HMdh+vTplfpIDfcP29ZuuHNGa3aRcLuXFYtFvvrVr3L55ZdTV1cHwIYNG7Btm4aGhqpz29ra2LBhw0hcptjK3XffjWma/O3f/u2Qj0v99k+dnZ3kcjnuuusuzjnnHJ555hk++9nP8ld/9VcsW7YMkNrt7+655x6mTJnC2LFjsW2bc845h/vuu49TTz0VkPrtT5RS3HjjjZx66qlMnToVoFKDtra2qnO3ro/UcOQNVbttjfbsYo70BdQy3/e57LLLiKKI++67b6fnK6XQNG0fXJkYzooVK/jBD37Aa6+99rFrIfUbWVEUAXDhhRcye/ZsAI455hheeukl7r//fqZPnz7sc6V2+4d77rmHl19+mUWLFjFhwgSef/55vvKVr3DQQQfx53/+58M+T+q3782aNYvf/e53vPjii9s9tm0tdqU+UsN9Z0e1g9rILjJzu5f4vs8ll1zCmjVrePbZZyvvfADa29spl8t0d3dXPaezs3O7d7xi33rhhRfo7Oxk/PjxmKaJaZq8//773HTTTUycOBGQ+u2vmpubMU2TKVOmVB0/4ogjKrslSO32X4VCgb//+79nwYIFnH/++Rx11FHMmjWLSy+9lH/8x38EpH77i+uvv55FixaxZMkSxo4dWzne3t4OsN0s3tb1kRqOrOFqN6hWsouE271g8B/H6tWr+b//+z+ampqqHj/uuOOwLItnn322cmz9+vW8+eabnHLKKfv6csVWrrzySn73u9/x+uuvV746OjqYM2cO//u//wtI/fZXtm1zwgknbLc10apVq5gwYQIgtduf+b6P7/voevWfJcMwKrPyUr+RpZRi1qxZPPHEEzz33HNMmjSp6vFJkybR3t5eVZ9yucyyZcsq9ZEajoyd1Q5qK7vIsoTdkMvl+OMf/1j5fs2aNbz++us0NjbS0dHBxRdfzGuvvcbTTz9NGIaVd7GNjY3Ytk0mk+ELX/gCN910E01NTTQ2NnLzzTczbdq0HX70Jj4ZO6rf+PHjt/sP2rIs2tvbOeywwwCkfiNoZ7WbM2cOl156Kaeffjpnnnkmixcv5mc/+xlLly4FpHYjbWf1mz59OnPmzMHzPCZMmMCyZcv413/9VxYsWABI/Ubaddddx6OPPspTTz1FOp2u/G3LZDJ4noemadxwww3Mnz+fyZMnM3nyZObPn08ikeDyyy+vnCs13Pd2VrsgCGoru4zMJg2j25IlSxSw3dfVV1+t1qxZM+RjgFqyZElljEKhoGbNmqUaGxuV53nqvPPOUx988MHI/VAHkB3VbyjbbgWmlNRvpOxK7R588EF1yCGHKNd11dFHH62efPLJqjGkdiNnZ/Vbv369uuaaa1RHR4dyXVcddthh6nvf+56KoqgyhtRv5Az3t+2hhx6qnBNFkfrmN7+p2tvbleM46vTTT1dvvPFG1ThSw31vZ7WrteyiKaXU3onNQgghhBBC7Fuy5lYIIYQQQtQMCbdCCCGEEKJmSLgVQgghhBA1Q8KtEEIIIYSoGRJuhRBCCCFEzZBwK4QQQgghaoaEWyGEEEIIUTMk3AohhBBCiJoh4VYIIbby8MMPU19fD8AZZ5zBDTfcMKLXs6cmTpzI97//fZYuXYqmafT09FQ9/vzzz3PyySeTSqU4+OCD+eEPf/iJvO6WLVtobW3lvffe+0TGG0pnZyctLS2sW7dur72GEGL0kQ5lQogDxjXXXENPTw9PPvlk5dhPfvITrrjiCm6//XZuueUWCoUC2WyW1tZWurq6sCyLdDo9che9hzZt2kQymcQ0Tbq6umhra0PTNAA2b97MIYccwuc//3lmz57NH//4Ry677DIWLVrE6aefvkeve/PNN9Pd3c2DDz74SfwYw7rxxhvp6+vjgQce2KuvI4QYPWTmVghxwHrggQf4/Oc/z7333sstt9wCgOd5tLa2AtDY2LjTYFsul/fa9e3u2GEYEkURAC0tLSQSCWzbpr29vRJsAX75y1+Sy+VYsGABhxxyCFOnTmXKlCksXrx4j667UCjw4IMP8sUvfnGPxtkVf/M3f8N//Md/0N3dvddfSwgxOki4FUIckL7zne8wa9YsHn300aoQ9tOf/pQjjzwSx3GYOHEi3/ve96qeN3HiRL71rW9xzTXXkMlk+NKXvsR7772Hpmk89thjnHLKKbiuy5FHHsnSpUurnvv73/+ec889l1QqRVtbG1deeSWbN2+uPH7GGWcwa9YsbrzxRpqbmznrrLMAWLRoEZMnT8bzPM4880weeeSRqiUGg0spnn76aaZMmYLjOLz//vt0d3dz1VVX0dDQQCKR4C/+4i9YvXp15fW2bNlCKpXCcRyWLFnCscceyyWXXMJVV11Vdd0PPfQQRxxxBK7rcvjhh3Pfffft8Hf7P//zP5imycknn1x1/K233uIv//IvqaurI51Oc9ppp/HOO+8A8az6RRddxPz582lra6O+vp5/+Id/IAgC5syZQ2NjI2PHjuVf/uVfqsacNm0a7e3tLFy4cIfXJIQ4cEi4FUIccL761a9yxx138PTTT/PXf/3XleMrVqzgkksu4bLLLuONN95g3rx5zJ07l4cffrjq+d/97neZOnUqK1asYO7cuZXjc+bM4aabbuI3v/kNp5xyChdccAFbtmwBYP369UyfPp1jjjmGV199lcWLF7Nx40YuueSSqrEfeeQRTNNk+fLl/PM//zPvvfceF198MRdddBGvv/461157Lbfddtt2P1M+n+fOO+/kgQce4K233qK1tZVrrrmGV199lUWLFvHLX/4SpRTnnnsuvu9v9/x77rmHyy67jBtuuIHDDz+8cvzHP/4xt912G9/+9rdZuXIl8+fPZ+7cuTzyyCPD/n6ff/55jj/++Kpj69at4/TTT8d1XZ577jlWrFjBzJkzCYKgcs5zzz3HRx99xPPPP8+CBQuYN28e5513Hg0NDbzyyit8+ctf5stf/jJr166tGvvEE0/khRdeGPZ6hBAHGCWEEAeIq6++Wtm2rQD1i1/8YrvHL7/8cnXWWWdVHZszZ46aMmVK5fsJEyaoiy66qOqcNWvWKEDdddddlWO+76uxY8equ+++Wyml1Ny5c9WMGTOqnrd27VoFqLffflsppdT06dPVMcccU3XOrbfeqqZOnVp17LbbblOA6u7uVkop9dBDDylAvf7665VzVq1apQC1fPnyyrHNmzcrz/PU448/XnleJpNRSik1c+ZMdeihh6oPP/yw6rXGjRunHn300apjd9xxhzr55JPVcC688EI1c+bMqmNf+9rX1KRJk1S5XB7yOVdffbWaMGGCCsOwcuywww5Tp512WuX7IAhUMplU//mf/1n13NmzZ6szzjhj2OsRQhxYZOZWCHFAOeqoo5g4cSLf+MY3yGazVY+tXLmSz3zmM1XHPvOZz7B69WrCMKwc23ZWctDWH8Obpsnxxx/PypUrgXhWeMmSJaRSqcrX4Azp4EfzQ4399ttvc8IJJ1QdO/HEE7d7bdu2Oeqoo6p+FtM0OemkkyrHmpqaOOywwyrXtLX58+fT2NjItGnT+NnPfgbEN6OtXbuWL3zhC1XX/a1vfavqmrdVKBRwXbfq2Ouvv85pp52GZVnDPu/II49E1//0Z6mtrY1p06ZVvjcMg6amJjo7O6ue53ke+Xx+2HGFEAcWc6QvQAgh9qUxY8bw05/+lDPPPJNzzjmHxYsXV24aU0pV3XA1eGxbyWRyl19vcLwoijj//PO5++67tzvnoIMOGnbsXb0mz/OqzhvqnOHGgzhILl++nPnz5/PZz36W5cuXM3HiRCBemrB1SIY4aA6nubl5uxu8PM8b9vxB2wZfTdOGPDZ4s9ygrq4uWlpadjq+EOLAIDO3QogDzvjx41m2bBmdnZ3MmDGDvr4+AKZMmcKLL75Yde5LL73EoYceusMwN+jll1+u/P8gCFixYkVldvbYY4/lrbfeYuLEiRxyyCFVXzsKy4cffji//vWvq469+uqrO72WKVOmEAQBr7zySuXYli1bWLVqFUccccSQz9F1na9//euMGTOGZcuW0dbWxpgxY3j33Xe3u+ZJkyYN+9qf/vSn+f3vf1917KijjuKFF14Ycr3vnnrzzTf59Kc//YmPK4QYnSTcCiEOSGPHjmXp0qVs2bKFGTNm0Nvby0033cQvfvEL7rjjDlatWsUjjzzCvffey80337xLY/7whz9k4cKF/OEPf+C6666ju7ubmTNnAnDdddfR1dXF5z73OX71q1/x7rvv8swzzzBz5syqJQ/buvbaa/nDH/7ArbfeyqpVq3j88ccrN7gNNQM7aPLkyVx44YV86Utf4sUXX+S3v/0tV1xxBWPGjOHCCy+sOvedd95hyZIlfPDBByxcuJD169dzzDHHADBv3jzuvPNOfvCDH7Bq1SreeOMNHnroIRYsWDDsa5999tm89dZbVbO3s2bNoq+vj8suu4xXX32V1atX82//9m+8/fbbO/u17lA+n2fFihXMmDFjj8YRQtQOCbdCiAPW4AxlT08PZ511FgcffDCPP/44jz32GFOnTuUb3/gGt99+O9dcc80ujXfXXXdx9913c/TRR/PCCy/w1FNP0dzcDEBHRwfLly8nDEPOPvtspk6dyt/93d+RyWSq1plua9KkSfzkJz/hiSee4KijjuJHP/pRZbcEx3F2eD0PPfQQxx13HOeddx4nn3wySil+/vOfb/dR/6ZNm5g5cyaTJ0/mxhtv5M4776yExS9+8Ys88MADPPzww0ybNo3p06fz8MMP73Dmdtq0aRx//PE8/vjjlWNNTU0899xz5HI5pk+fznHHHcePf/zjHa7B3RVPPfUU48eP57TTTtujcYQQtUM6lAkhxB567733mDRpEr/5zW8qM55707e//W3uv//+7bbE2p/8/Oc/5+abb+bNN9/cYXjfUyeeeCI33HADl19++V57DSHE6CI3lAkhxH7uvvvu44QTTqCpqYnly5fz3e9+l1mzZo30Ze3Queeey+rVq1m3bh3jxo3bK6/R2dnJxRdfzOc+97m9Mr4QYnSSmVshhNhDe3vmdvbs2fzXf/0XXV1djB8/niuvvJKvfe1rmKbMTwghxLYk3AohhBBCiJohN5QJIYQQQoiaIeFWCCGEEELUDAm3QgghhBCiZki4FUIIIYQQNUPCrRBCCCGEqBkSboUQQgghRM2QcCuEEEIIIWqGhFshhBBCCFEz/h8chvei5tDE/AAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Lage- und Streuungsmaße:\n", + "Mittlere Körpergröße: 170.01 cm\n", + "Standardabweichung Körpergröße: 9.99 cm\n", + "Mittleres Gewicht: 75.42 kg\n", + "Standardabweichung Gewicht: 13.04 kg\n", + "Korrelation zwischen Körpergröße und Gewicht: 0.6781\n" + ] + } + ], + "source": [ + "# gegebene Parameter\n", + "anzahl_zufallszahlen = 1_000_000\n", + "mu = 170\n", + "sigma = 10\n", + "q_beta = 6\n", + "p_beta = 8/14 * q_beta\n", + "\n", + "import numpy as np\n", + "Xj = np.random.normal(mu, sigma, anzahl_zufallszahlen)\n", + "Bj = np.random.beta(p_beta, q_beta, anzahl_zufallszahlen)\n", + "\n", + "Yj = (Xj/100)**2 * (18 + 22 * Bj)\n", + "\n", + "import matplotlib.pyplot as plt\n", + "plt.figure(figsize=(8, 6))\n", + "plt.scatter(Xj, Yj, alpha=0.1)\n", + "plt.xlabel('Körpergröße (cm)')\n", + "plt.ylabel('Gewicht (kg)')\n", + "plt.title('Streudiagramm: Körpergröße vs. Gewicht')\n", + "plt.show()\n", + "\n", + "# Lage- und Streuungsmaße\n", + "print(\"Lage- und Streuungsmaße:\")\n", + "print(f\"Mittlere Körpergröße: {np.mean(Xj):.2f} cm\")\n", + "print(f\"Standardabweichung Körpergröße: {np.std(Xj):.2f} cm\")\n", + "print(f\"Mittleres Gewicht: {np.mean(Yj):.2f} kg\")\n", + "print(f\"Standardabweichung Gewicht: {np.std(Yj):.2f} kg\")\n", + "\n", + "# Korrelation der Zufallszahlenpaare\n", + "korrelation = np.corrcoef(Xj, Yj)[0, 1]\n", + "print(f\"Korrelation zwischen Körpergröße und Gewicht: {korrelation:.4f}\")" + ] + }, { "cell_type": "markdown", "metadata": {},