{
  "schemaVersion": 1,
  "lessonId": "networks-05",
  "contentHash": "4dc504459d1c38a540eab0c4b283d33182a60234995d845e318339e82219ce30",
  "executedAt": "2026-10-20T10:46:28.762700+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Stable final weight: 1.999999761581421 unstable pre-update [weight,loss,|gradient|]:\n [[ 0.00000000e+00  1.86666679e+01  1.86666679e+01]\n [ 5.60000038e+00  6.04800110e+01  3.36000061e+01]\n [-4.48000145e+00  1.95955292e+02  6.04800148e+01]\n [ 1.36640034e+01  6.34895264e+02  1.08864037e+02]\n [-1.89952106e+01  2.05706152e+03  1.95955322e+02]\n [ 3.97913895e+01  6.66488281e+03  3.52719635e+02]]\nStable final weight: 1.999999761581421 unstable pre-update [weight,loss,|gradient|]:\n [[ 0.00000000e+00  1.86666679e+01  1.86666679e+01]\n [ 5.60000038e+00  6.04800110e+01  3.36000061e+01]\n [-4.48000145e+00  1.95955292e+02  6.04800148e+01]\n [ 1.36640034e+01  6.34895264e+02  1.08864037e+02]\n [-1.89952106e+01  2.05706152e+03  1.95955322e+02]\n [ 3.97913895e+01  6.66488281e+03  3.52719635e+02]]\nReference / compensated / unchanged-rate updates: 1.8833334 1.8833332 8.416667\nPASS: networks-05\n",
  "notebookCells": [
    {
      "sourceHash": "1cae4a6fc247257cdf1bda33489ca0529c474cf592dfd58900ade4300a50187e",
      "outputs": []
    },
    {
      "sourceHash": "5f033ed2399cdf127e49e1b9bddb59a1710603d358102d67bc8c148460e93fb1",
      "outputs": []
    },
    {
      "sourceHash": "88b29415af2e7b1de4b3f3e50a6f3774c6a1cd9d9b140552a86bfeb6d671bc69",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Stable final weight: 1.999999761581421 unstable pre-update [weight,loss,|gradient|]:\n",
            " [[ 0.00000000e+00  1.86666679e+01  1.86666679e+01]\n",
            " [ 5.60000038e+00  6.04800110e+01  3.36000061e+01]\n",
            " [-4.48000145e+00  1.95955292e+02  6.04800148e+01]\n",
            " [ 1.36640034e+01  6.34895264e+02  1.08864037e+02]\n",
            " [-1.89952106e+01  2.05706152e+03  1.95955322e+02]\n",
            " [ 3.97913895e+01  6.66488281e+03  3.52719635e+02]]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "760c3201b316cc0a7978b9e299d8b0f4aa7016032f1a1d1b4b01b782fb41c8e6",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Stable final weight: 1.999999761581421 unstable pre-update [weight,loss,|gradient|]:\n",
            " [[ 0.00000000e+00  1.86666679e+01  1.86666679e+01]\n",
            " [ 5.60000038e+00  6.04800110e+01  3.36000061e+01]\n",
            " [-4.48000145e+00  1.95955292e+02  6.04800148e+01]\n",
            " [ 1.36640034e+01  6.34895264e+02  1.08864037e+02]\n",
            " [-1.89952106e+01  2.05706152e+03  1.95955322e+02]\n",
            " [ 3.97913895e+01  6.66488281e+03  3.52719635e+02]]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "c06a3e7b0477e12242265a930f3e2c2031addfec9bf003b2e12fbdb4106b938e",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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wRSHbhrUC5eXhfmYr0JntQGdWqxRsDbLbgwJV29e3yv67qyojgMFFZf6nb925nn1UdXfcc5tdqfLvtz7SnJkL1bxFEx07ekLr127U8KjB2rBusw7FHT7nfYMv76cvJk7TmOvvVtfuHeXj62Nrxzz0yH32/CNPPqBDB4/YTkfXjrhNbdpFqmF4qO2OtHvXPu3euVet27YqcQBz5TXDtWzxKrsq58Yrx+nS3j3sFikT4uTk5Ogvzz+q8DO1YvJlZWZpz+59Ba/PNm707wpeHz501D5/M+0nez/yTZz8XonvJQAAAHAx/HvFak35ZXNBsJLhYKW6I2b7kKnh4unhXuz58FpBpQpgPN3dFRoYoJAzXXaLU8/fX/HPPkWwUokRwAAuYsKTiZPe0ztv/kdbN8fY1TARTRrp4Sfu1y1jb9RVl99S7Pt+/6d77PP8OUs0O3q+srKy1TA8rCCA8fb21lvvv6Ton+bqh2+itXVLjLZs3q7atWvZlSgm+BkeVXQr0flCr7//8y/q2qOTvpn6o5YtXmlbZF9yWVd7rct697jg3/vGDVvOOWZWzZgHAAAAUFErVkyb5CKrVQq1Wc47lqh3rr1CQ1oWrdmYLy4hUSv3HyjDHGQDFhO0FMesRFmf1+jUcndzU2igWakSqIb2+dxCtua1CVfc3Z2vWGFFS+XnluuoMAWqjd69e9vn5cuXOx23bds2+9y2bdsKmRfAf4MAAAC4EKdT0zQzdofDIrbJGZnnvcb7112l8T26Fnvu3eWr9Oj0WWX6oiz57Z3q0Si8+HN79io+Lb1gK5DZkuThXvxqGVQ/rIABAAAAAFwUKRmZOpyUaLvv5Icp9f39dUvXTsWOP5qUrNunfntRC9ma1ShF66sUXa3Srr7jeon9mjUt9bxR9RHAAAAAAABcKj0rywYdcYUK1xZetZK3YiVJp9PSznlvn6YRDgMYs2qkrMznO9Kybh0Nbdm8aLhyZrWK7RYUGChvT48yzwE1EwEMAAAAAKBEMrKydTgpSeFBQQ4LzV478UvNit1Z6jtqQhpHgnx8FOjtbds9l1Swr8+vXYGCgnRpRCOHY7s0DNOPt992wXMGSoIABgAAAABqONO5x3TwOXu1yuGzitgeS06x4zf/6X61CAkp9lr+Xl5lmov5LFOq1FFRWROkxJ44qSAf7yLBSthZ24LCawUqLDBI/t5lmw/gKgQwAAAAAFANmNBi6d792n3ylJqH1FHfphHFhhjr4g7pv6vXFhSuNaGLCV8upD2LqdniKIAxIUhZmM5ApptRLV+fYs9Pv+M3qu3rq0Af7zJ9DlDRCGAAAAAAoIrJycnV8ZSUgnoqm44c0TvLVtsVK/m6hIVq8m03qWnt2kXea8Z//PO6cqujYlagFMfX07NQ8dq8lSpm1Up4oRor5mFWtjhrqdw4uFaZ5g5cLAQwAAAAAFDJbD5yVHGFCtbGFRSwTSo4lpWT4/QaGw4f0ejPp2r5/XcXCTRK0umnLJ2EBrVopueHDbbBit0WdCZgMatWnAUrQHVHAAMAAAAAFbA9yHT8yd/2czIlTaM6tXc4PuqT/xXUWykLE8KYbUn9mjW54E5Cnu7uBQFK3kqVX8OUyyIaO3xfz8aN7ANAUQQwAAAAAFCGYMXUK/l1pUrhdsv5NVbyXqdlZRWpc3J9h7bycC++k5AJOlwRwBimJkzhAKa+f4AigmupfmBA3vafM1uB8sKVX4vY1vP3l7s7K1YAVyGAAQAAAIBiOOvE859Va/T2spU2YEnOyLzg+5eTm6ujyckOtwOZEOSXw0dc8nUxBXkLM6FKzKMPuuTaAEqOAAYAAABAjZKSkanDSYm2k09BJ6CCVSt5r83xV68YrrHduxR7jfTsbO04cbJM8zDdhxwGMGd1Eqof4K+wwKJtlvNfm+P3ffuDth49fs51TCFe0w0JwMVHAAMAAACg2klKz9Cna9cXCVbywpYkW4ulrJ1+TOhRVnnXb1jsuQf7XKbbe3TNq78SGChvTw+n1/pm7BhbcNfUfDm7CxKFb4HKgQAGAAAAQKWWkZVt2yvn1VP5tQtQoLe3HhvY1+EWn0enzyrT55rOQ46cr5BtsK9PQavls2ur2IK2tUxRW8ftlNs1qH9BczWtpk23I1Nw19R8MduOzMoXwheg8iCAAQAAAHBRZGXn6EiyWaFy7jag/NUq5rWjYrQtQ+o4DGCCfLwV4O1Vqvos+cxcHGlWp7ZGd+5wTrhigpWwwCD5e3upopmwxRTbLVxwF0DlQQAD1NCCctMmf69vpvyo3bv3ydvbS+07tNHt99yqy3r3uKBrbd64Td99PV1bN8fo8KGjij+dIC8vTzVtFqEhwwfotnGj5OfvV26/FwAAUPlk5+TYArMmWGlTv64CvL2LHfebKV/ruy3bSv05JqBxVCjXHDNbd3aePFWia/l7eeWFKIXClG7hxW8PMhrVqqUJN11f6rkDqHkIYICLrFvbgWoYHqbp8yZXyOeZb1L+8vjfNf2H2QoI8FeffpcqJTlFq1eu08rla/TMC4/p+lFXlvh65j1Tv/zO/h5atGqmkJDaOn0qXr+s36x33/yvpn8/S//937/scQAAULXl5OTqeEpKkdUqhYvY2hbMCUk6kpRktwAZc+8erz4OisCaoKMsUjIzlZCermBf3+KvXytIBxMSCwUredt/zK9t++Vav24JquXjw3YdAOWKAAaoYX76fpYNXxo1bqiPP39HDULr2eNrVm/Qb+98WC8994ZdBRPeKKxE1xs6fKBGXjFE4Y2L/oQoMSFRf3rgL1qzer3e/9fH+vOzD5fL7wcAAJSfzUeO6vm5Cwu2ApmwJSsn54Ku4ayQrQlBSsvLw92GJ6dT0xwGMN+NvUV+Xp4EKwAqBQIYoIaZ+NEk+/zQo78tCF+MHj276IabrtKUL77VFxOn6dGnfl+i6zVt1rjY40G1gnT/Q3fqrt88qJXL1rho9gAA4EJXvpqOP2ZVimm7bJ7jitRaSVL/Zk30wvAhxb4/Iztb32/dXqabbj7DEbPy5Gye7u4KDQwoWLESXlDENlBhhYrahvj5yd393K1HhV2MOiwA4AgBDC76NwVVpVJ7/lah72Z+rokffanpP87Rwf1xatq8iSZ/+5FycnI0c/o8LV6wXFs2bdexo8ft0tvGjRvaVSLj7xpTpBbK91/P0LN/ftm+PhR32F4/39lbkrKzs/XdV9P1w7cztSN2tzIzMtQoIlwjrxyqsXeMlq+vT4l+D3EHDik2Zpd8fLw1aMi5BeuGRw2xAcyCuUtKHMA44+mZ90eMqTEDAADKx7K9+7X39OkioUpet6C812lZWU7fX9vJ9xEm6CgrZ4Vs+zaL0L+vvbJI3ZV6/v7nDVYAoCoigMEFW7p3X5nuWqNaQWpWp479RmH051O14fCRgnMdQuvrz4P6K7QM+4E7hjZwuAy1rHJzc/TI7/+iVSvWqEfPrmoV2VyZmXmV9dNS0/TnR19QreAgNW/RVG3atVJycooNYz54d4IWLViujz//V0FYEtG0ka6+bqR++DbaBjOXD/81gKldJ7jgdXp6uv74uz9rxbKfFRgUqPYd2yggwM9e999vfaQlC1fogwlvlCiE2b59p31uGdlcXsWEIu3aR9rngwcOKSkpWYGBAaW+V6kpqfrve5/Z1/0G9S71dQAAqGmS0jPyWi4nJBasVvlD70vl4e5e7Pg//jBDG48cLZcVKvUD/OXu5lZQz6U45mdnoQGBBbVVCocp5nW7+r+uuD1bi5AQ+wCAmoAABhfs8v9OLNNde6hvL700Yug54Yux+cgx3Tb56zJdf+adv9GA5s1UHkyXH3d3d33908Rzap54eXnptX+9oP4DexcJN9LS0vXy82/ou69n2K09d957mz3erUdn+zABTO3awXr+5aeK/cw3//m+DV8GDOqt5156qiCcycjI0N+ffU3ffxOtD9/9VA8+cu9553/o4GH7HBpWv9jz/gH+NuRJSkzS4bgjatW6RYnvzd49B/TR+5/ZVU2nTp3Wxg1blBCfaOd97+/Glfg6AABUV6mZmYWK157bdjl/5UpiesY5772lS0eFBhb/AyoTcpQtgHG8QsWEPoNaNJOXu/uZgKVoy2WzLciEL54exYdDAIBfEcDgojDbjs4OX6qKPzx87znhi2FClyHDBpxz3KxMeeKZP9rit3NnLSwIYEri5MnT+mryD6oTUlt/++dfFFRoZZC3t7ee/OuftHTxKn095Qf9/k9323DofKtSDD8/x22h/f39bABjVu9ciJMnTtowqbDhVwzRE08/SBtqAEC1lp6VpeycXIf1Rj5bu0GPz5hta7GUlglsHAYwpVg5bOqn5K9WCa8V5LCVs/HT7SX/3gUA4BgBDC4KU/Olqho0tJ/T87t27tHyJau1f99Buy3JtGs0PL28tG/PgQv6rDWr1tktTpf26l4kfMnn5+er9h3aaPHC5fbazVo00cViVvOs27bQ1qs5cuiolixeqffe/lijrr5db7//sjp2bnfR5gYAQGlq0WVkZedtBTrT/eec1SqmBXNSkk6kpOr5YYP12IBz66sZvl6eZQpfDPOZXRV23kK2tX19f90KVMxqFdN1yAQ5Zk4AgIrFn7y4KMw3OVVRSN06DmutZGVl6W/PvmaL5bqKqcVimOK+5uHM6dPx571efhHg1NS8lTDFSTmzSiYgwF+l4eHhYVcI3XzLdbZGzt1jH9Jfn3xRU3+YYM8BAFAZFFeLLsTPVx1CGyg+Ld0GHscuYDWoszoqrihkeyTJ8fXvu+wSjeveRWGBQXT9AYBKjAAGF2zO3ePKXIS3ae3a6hIWWuw2pJZ16+j9664qdTckU4S3vPj4OC50+8Wn02z40qJVMz348L1q37GtrdfideYnTMP636Djx05c0Oflr54xRXPNShdngmvXOu/1GjbK+8nZkcPHij2fkpxitx8ZYeGhKqvul3RReKMw7d61T3t271fLVuVTmwcAACM7J0dHk5ML6qvkrVrJW61ivHvtlQUrX4qrRXcyNU2L9+xzeaef8FqOtwj5e3kVW7g2LDDQvs/82qxoCXLyPYgrAh4AQPkjgMEF69vUNdtcJt920znf/JhQxhw3AU1VM2fWQvv8j9efPad4ram9cuL4yQu+ZljDvDCpQ8c2tgBvWbVp09I+77StrDPP6YS0dUusfW7UuGGZOiAVZurXmJU8p06edsn1AAA106nUVO07HX/ONiATsthOQQlJdpWIo249gd7eBQFMedSiO98KmAd6X2oDlvAzW4HMahXzXMvHp9Q/dAIAVC0EMLhoTMiy/P67ne69rkriTyfY59AzoUlhM36cY3/aVhxPL09bN6U4PS/rLk9PDy1bssp2UypJq2lnzNagyNYtFBuzSwvmLdWwkYOKnJ81Y16J6txcyD2JPdP6OqJJuEuuCQCoPszfjaZ+Sv5qlc4NQx0Wmn1uzgJ9sGpNqT8rKSNDienpdiVJWWrReXm4561SsY8zK1cCAxVZr67D9/h5eenVK4aX+jMBANUDAQwuKhO29GvWxD6qOlMAd9/eA5r0v691T6G2y5s3btO/Xv+Pw/fVr19Px44esy2bawUXXUJcv0Fd3XDz1Zryxbd6/KFn9fRzDys0rGjAc+TwUa1asVZXXzeyRPMcd9cYPfPEi3rr1ffVpVtHNQitZ4+vWb1BX0/90bbTvnXcqCLvOXrkmO67/WH7+oMJr6tB6K9trCd+PFlXXTdCISFFVy3FHTik5//6T6WnZ6hP/0vPmTcAoHoHK6bobOGtQHaVSsHqlV+PZxT6IcTno2/UDR3blds2GzOfoPo+561FZ34gZLY05xeuzQ9czFaguv5+VfaHRQCAi4sABnCRO+65za5U+fdbH2nOzIVq3qKJjh09ofVrN2p41GBtWLdZh+IOn/O+wZf30xcTp2nM9Xera/eO8vH1sbVjHnrkPnv+kScf0KGDR2yno2tH3KY27SLVMDzUdkcytVV279yr1m1blTiAufKa4Vq2eJVdlXPjleN0ae8edouUCXFycnL0l+cftXVbCsvKzNKe3fsKXhf2n/cm6u3XPlDrNi3V+Mwql8OHjmrr5u3Kysq2K26ee/HJUt9XAEDVYFaV3P319wUBS1pW0b8vSsJ0FHLEBCGl4e7mZlfVmNUq6dlZBQGLo1p05vjsu8YRsgAAXI4ABnARE55MnPSe3nnzP9q6Ocauholo0kgPP3G/bhl7o666/JZi3/f7P91jn+fPWaLZ0fNtaNEwPKwggPH29tZb77+k6J/m6odvorV1S4y2bN6u2rVr2ZUoJvgZHlV0K5Ez5qd2f//nX9S1Ryd9M/VHLVu80rbIvuSyrvZal/XucUG/b/P7W7HsZ23bHGPbb6elpSmoVpC69+yqocMH6Pobrzyn1gwAoPJJSs/Ia7mckHjWapVfX3duGKYvxtxY7Pt9PD21bO/+Ms3BWSHbs1fAmEUoDQICim4FOlPENq8Nc97qFTPGw939rPe6Oa1FxwoXAEB5cMt1VJgC1Ubv3r3t8/Lly52O27Ztm31u27ZthcwL4L9BAKhYc3bs1Najx88NVxITlZiecd73m4BixQN5Pzg4W1Z2joKfe8lhEdySuK1rJ/33xmuLPXc8OUXL9+0vCFZCAwLl6VE0WLlQ5tvg6lKLDgBQ+bECBgAAoApKz8oq0gEoP0x5pH9v1fHzK/Y9by1dqTk7dpX6M51tETJhSIPAADsnR0z9FNNe+eyWy/mvm9QOdvjeegH+urpdG7lSdapFBwCo/AhgAAAAKpHM7OwzW4F+DVXO3gpkzpvuQcW5qVN7hwGMCTrK4mhysp2fl4dHseevadfGbmUqGrDktV42dVh8vfjWEwBQc/G3IAAAQAUwW3SOJCfJw83d1igpzjebt+rWSV+V6XPMCpQuDeWSTkJBPt6/1lg5s1olw0kA89bVUaWZMgAANQIBDAAAQBlk5+TYlSFmxUp+EduzV6uYcyZ8MeVR7u/VU69dOaLYa9Xz9y/z18J8tiMmQDH8vbzOKVyb/9qsVjEBkXkE+fiUeT4AACAPAQwAAMAFeHT6LO05eUqH8oOVpKQLKjxrgpnzBSSl5evpqaSMTIfnf9O1s27p0lG1fHwoNgsAQAUjgAEAADWK6Xxj6qfkr1I5XKiIbVxikk6npmrWXeMcvv+nbTHac+p0qT/ffJ4jpkBtcbw83M9sBTq75fKZ1Stnaq3U9vV1GqwE+niXet4AAKBsCGAAAEC1cjAhQdtsq+UzwUrBtqC8kMXUSDF1TJxJTE93uP3GhB5lCWCcrYAxAckLw4aoQaC/DVXMNiDzbLoH0R4ZAICqjQAGBcw3djk5Ofbh7u7OnUGF/0TaPPhvD0Bxfz4kpKfb4CQ/VOnRKFyt69ct9mZNXLNBz89bWKYbaT7LcQBz/m1C7m5ututPfgcgE9rkhymNg2s5fe+jA/qUet4AAKDyIoBBAV9fX6WkpCghIUG1a9fmzqBCJScn22cfCj4CNYppWZy3FSh/hcq5RWzNc0pm0bomr185wmEAY0KPsjIBTGS94q/frkE9dTsVVmiFStEituZYg4AAefDDDAAAUAgBDArUqVPHBjCHDx9WVlaWgoKC5O3tzZJnlPtPtk34Yv67M2rVcv6TYQAX///ZpXv3a/fJU2oeUkd9m0YU+/dEppNWxSdSUjTkP5/akCUxPcP1nX4usNVyvvoB/rYGiwlSfDwdf4v0lyED7QMAAOBCEMBUEmvXrtXnn3+uefPmaffu3fLw8FDr1q31wAMP6LbbbquQEMQELnXr1tWJEyd07Ngx+zDYc47y/sdcvoCAAFZfAZXY3tOnddPnU7Tx8NGCY+G1gnRlm0glZ2QWKmqbpOYhtbXsd3cXe51gH1/FnjhhWzKXltNOQmcFMCF+fsW2XM4LW/J+bV57exYfGAEAALgCAUwl8corr2ju3Lm68cYb9dvf/lZpaWmaMmWKxo4dq/nz5+ujjz4q9zmYoKVBgwb2H8GJiYl2VYJZCVP4H8iAq5maL2bbkVn5Yra+UQMGqBx+3Bqj1QcOFoQqcfEJ2n78hLLP+jshLiFR/1m99pz3mzotjnh6uNstOkeS8rYelobZmuRIZL0QzbtnvK29Yuqw+Hrx7Q4AALj43HL513WlsGzZMvXo0aNI/QtTDHfIkCFauHChNm7cqI4dO5bq2r1797bPy5cvd9l8AQBVQ1Z2jo4km1oqSUXqqhxOStLjA/rabUTFuefr7/W/db+U+nPNws2EZ/9sw5bi9P73f7X+UN7Ww7MF+Xj/2m65UG2V/Jor4bUCFRYYJH9vr1LPDwAAoKLxI6FKok+fczsemJUAZkWMCWA2bdpU6gAGAFD9ZOfk6FhyylnFaosGLCZ0MeGLo4WM13do5zCAMVtyysJ8pvnsRg7qOo3q1F4DmjctCFfCC20LMq2YAQAAqhsCmEruwIED9rl+/foXeyoAgAqQk5Or4yl5wYqPh6faNqhX7Lile/dpxMf/K9NnOdvGY8KQC9EwMFDN69YpWLliVqr4eTpeofJIf1otAwCAmoUAphDTAWjRokW2IO66devsY9euXbYGyvjx4zVhwoQS3VRTO+WNN97QtGnTtHPnTnusZcuWdjXLww8/bGuslMShQ4f04YcfqmnTpurfv39pvr4AgErC/F1yIiXVBiumSK1drXJmW1DcmcK1+eeycnLse27s2F7/G31DsdczW3DKynknoUB5ebifCVTMypQA2/3IhENn6xwWqhX3303RdgAAACcIYApZtWqVoqKiVBb79+/X4MGDC4IXPz8/+033hg0b7OPTTz+1RXUjIiKcXic9PV033XSTEhISbJBj2kEDAKqWP/4wQ+sPHSkIVjKys10XkNQq/RYhT3d3u0LF091x159r2rVR/LNPFQlVTBek0Z9P1YbDRwqOdQkL1eTbbiJ8AQAAOA8CmLPUqVNHXbt2Vbdu3ezDdCcyBXBLIjs7W9dcc40NX0JDQ/XJJ59o5MiR9tyMGTN0xx132HNmzJo1axx2ezGdh26++WZbmNesgBk6dGiJPh8A4DomPE9IT7erVA4n5a1WiSum3srPv79XAQ5CchNUrNyft5XU1VuEgnx8FOjtraSMjIJj7m5utuuPCWfCC20FOruQbT1/f7m7/xqsFMejmL+jmtaureX3321Xwuw+ecrWj+nbNILwBQAAoAQIYAox23xOnjxZ5Aa9//77KqmJEydq/fr19vXUqVOLbBu64oor7EqWAQMG2DFm7O23315siHPrrbfq+++/19tvv6277767xJ8PALgwe06d0op9B88UrC1axNY8p2RmnvcaZmVLy7ohxZ4zYUdZmDmYIKjwKpTC3rn2ChvC5AUsgba1c3HBiSuZufRr1sQ+AAAAUHIEMIV4eDheil0S+TViBg4cWGzNFnPMPBYvXmy3Ip0dwJi202PHjrXhzauvvqo//OEPZZoPANQ0KRmZdrVKXKGWyz0bh6t3k+K3fc7fuUf3f/dTmT7TfI6jAMasPjmf+gH+RQrXnr1axZnRnemOBwAAUFUQwLhIamqqlixZUrDaxZErr7zSBjDmYd5jasTkhy9mi9KXX36pF198UY888oirpgYAVV5aZlbeNiC7OuXXcKXIqpXERMWnpZ/z3icG9nUYwFxop5/imLDHka4NQzWsVYtigxVzzLRc9vYsW/gPAACAqoEAxkW2bt1qQxSjY0fHP5HMP2e2Gm3bts3WmTEee+wxuy2pZ8+etkDv//5XtLVonz591KJFC1dNFwAqhYysbJ1MTXW4UiQ7J0dN//GG7R5UWiacccSEIReqtq/vmUAlL0gJdxLijOve1T4AAAAAAhgXOXjwYMHrxo0bOxxX+FxcXFxBAGOK8hqrV6+225DOZgr6EsAAqCqysnN0JLn41Sp57Zbzjh9LTrEhxq7HHyr2OqaeiYdb2WqaxDkpZFs4+AnyOVNLpdBqlaJBi1mxEiR/b68yzQcAAAA1EwGMiyQWahXq7+/vcFzhc6bFdL4FCxaUeQ69e/cu9vimTZvUrl27InMEAFf5KWaH5u3aawvZHk5K1pHkZBus5Jbw/UeSknQ6Pt5h8dgGAf46mpxc6vkdT0py+Oefb26uVtw9Tg0CA2wx2/PJTk9TYnpaqecCAACA6i/IQR0/AhgAgHJyc+02HxugFApS8n6drAd7XaJLwhsWe6fWHjqsz37ZVKbPPp6SqtDAgGLPhwb6a9PRc4/7enrYlsthgQEKCwiwz+bX5jphhR7OghXTtrlFSB3+CwAAAEC5I4Aph4QrJSXF4bjC52rVqiVXWr58udOVMY5SOADVW3pWlmKPnzyzFSix6LagM1uBzLagrDN1rIpzQ6cOGuzgz5CmdeuWeY4JOblq5eD6Y3t008CWLRR+ptWy2QZknk0tFkftmQEAAIDKhgDGRRo1alSkHkznzp2LHXfgwIGC1+Hh4a76eAA1TG5urk6npdkwxXQH8vbwUL9mTYsdu+fUafV898MyfZ4JaRw5X6vkfJ7u7r92AypUW8WEKY2DHQfStFoGAABAdUAA4yKmxoq7u7vthLRx40ZFRUU5rMdieHh4qG3btq76eACVOChZune/dp88peYhddS3aYTTVRtmfEJ6ekGwYp7jChWxNXVW8orZJiktK6vgff2aNdHsu8aVKSBxJs5JJ6FGwUEFQYpdpVKozXLhtsv1/P3l7s6KFQAAANRMBDAu4ufnp379+mnRokWaPn26Hn/88WLHmXNG//797XsAVF97T5/W6M+nasPhIwXHuoSFavJtN6lp7dpFxj70wwzN3bHLBispmZkX/FkmlHHEdPcJ8PZScsaFXdfkRKEBgXlBSqDjds2XRTR22MUIAAAAQB4CGBe6/fbbbQCzcOFCLV26VH379i1y3hwz543x48e78qMBXEQpGZl2tUpcwq/1VEzr4wlr1tttQoWZMMaEMsvvv7vIShhT6HbnyVOlnoMJbszqmeJW15hjZgXKjhMnC47VD/Av2ApUsC2o0GoVs5rFhC+eHmVrAQ0AAAAgDwHMWU6dOqXs7OyCX2edWeKfnp6u48ePFxz38vJScHBwkfeOGzdOb7/9ttavX69Ro0bpk08+0YgRI+y5mTNn6o477rCvu3btqrFjx5790QAqMbOFaPr22IKtQPlFbE3YcnbIcj4mhDHbksy2oXwm+CgLs2rGbF0K9vUt9vx7110pLw+PvK1BgYHy9vQo0+cBAAAAuDAEMGfp1q2b9u7de86NmjRpkn3kGzhwoBYsWFBkjKnr8v3332vw4MHauXOnrQOTv80oNTXVPrds2dKOMWMBXBwZWdl5tVSKdARKVPfwcF3XofjaTFuPHdej02e5NNApHMCY2inOmI4/eStVil+tYl47a7fsqEAvAAAAgIpBAONiERER2rBhg15//XV99dVXNogxTFekG2+8UY888ogCAgJc/bEAzIq17BwdSU4q2ma50GqV/CK2x5KLbxU/rnsXhwFMWVeonM0U5C2sa3iYRnfucE64En6m7bK/txdfYwAAAKAKc8s1RQNQrfXu3ds+L1++/GJPBSiV7JwcHU1O1rGkFHVuGOpwXNOX37DjSmt4ZEt9N+6WYs+ZrUbNX3mzxNfy8/RUdm6uMgptaSxciPfsGjAAAAAAqjdWwAC4aHJycnU8JaXY1Sq2kO2ZLUJHkpKUk5srD3c3xT/7lDzciy8MGxoYUKYAxlknIVO01ny+l7upo5LfXvnXIrbhBVuB8o6bzkP74uMddkEifAEAAABqFgIYABXm+y3b9b/1v9hwJb9bUFZOTonfn52Ta7cPmcCjOCYU2XjkaKnm5u3h4bTjjwl9Dj71iGr5+JQ4PDGtps1KF1Nw19R8MduO+jaNIHwBAAAAaiACGAAlZnYsmo4/+TVWClapFKxeSdIf+/ZyWEdl7+nT+mHr9jLdcfOZDgOYYo57urv/2mb5zMqV8MKtl8+sXAnx8ztvMOKow5Az5pqm2G7hgrsAAAAAah4CGABFugMt27fPBiwmWMlbqZLfLSgvYEk705rdkdjjJxyeM2FHWZm5dFVYsedu6dJJvZo0zmu1fCZgqefvL3d3aq0AAAAAuLgIYIBqLik9o8hqFXc3N93UqUOxY1OzMhX1yedl+rxDSUkOz5mVJudjFqGEBpiVKnkBytmtly9pHO7wvQNbNNNANSv13AEAAACgvBDAAFVUSkamDiclKq6YlsuFV64kpmcUeV+ruiEOAxhT38Tfy0spmZnlUsi2cXAtdQ4LLdgKFBaYX8w2P2AJtOGLs1osAAAAAFAVEcAAlUx6VpY83NwdhhB/+jFaX27YqPi09FJd34QyzuqVmDBk58lTF3RNUz8lP1Tp2rD47UH5RWlXPnDPBV0bAAAAAKoDAhigAuurHE7Kr6eSlPe6UNvl/BorJ1NTNffu8erTNMJhIdzShi9GckamEtPTFeTjU+x5E6LkBzC1fX0L2iznbwEqvFrFtF4ODQyUrxd/lAAAAACAM/yrCXCxvadOa8Ka9UWCFRO2mPbJrlil4pJCtglJCqpffADzzjVXyMvDXWGBQfL39irzZwEAAAAACGAAh7JzcnQ0Obmg5XLhlSvtG9TXA70vLfZ9x1NS9PLCJWW6sya4KU0hW1O/JX8rUOHCtea1Wa1iVrKYh6PVL0ab+vXKNHcAAAAAwLlYAYMa6VhysuLObPk5ZxuQ3RqUpCNJScrJzS32/SMiWzoMYFyxQsUU0XWkS8Mw+9n5oUp+tyDzCPLxtnVcAAAAAACVCwEMqg1TG+VESmpBmHJ5yxZydy8+jLjik8+16cjRclmh0iAgwLZ6dhTeFGa2+uSHJwUrVwID1dtB/Zf8AMY8AAAAAABVBwEMKp24vfGatXGXdp44pQ6N6+umQe2VkJFxzlagvJUqZ1aunGm9nJGdXXCdvU/8SQ0CA4r9DLMNp2wBjOMaLaZ7UaNaQTLxy9nBSuHVKua16R7EihUAAAAAqP4IYFCprI85rCs/+J9O+qflHdgh3TH/O8mtdCGJowDGhCKl4eHuZrv+hNcKUk5OrsMVNtsf+QPBCgAAAACgAAEMKo2cnBxd898vfg1f8pWypIlZGdOloUpUp8WUTQkNKLxCpfjWy/UD/OXh7n7ez2ZVCwAAAACgMAIYVBpT5m/WMZ+St2o+H7M9yZGbO3fQJY3DC7YCmfDFbB0CAAAAAKA8EMCg0vhlz5ELGl/X388GKHkrVc5drRJZL8ThezuENrAPAAAAAAAqAgEMKo3OzUKlPY7Pd9pTX2HxAfLL8LSPxhHBGjkmUr0ubyJPL1avAAAAAAAqL/7Vikrj5sEd1CDTv9hzdZJ81fFAPdVP9Fdgurc8ct11aF+iPnllrZ68NVozp8QqNSWzwucMAAAAAEBJEMCg0nB3d9d3d956TghTL91Pt6S1l5uDarynjqdpynsb9fjoaH39382KP3lWEV8AAAAAAC4yt9zc3NyLPQmUr969e9vn5cuXV5luSKYg7+YDx9ShcX27MsaEM7EbT2jGpO3asOyw0/d7ebur78imGjm6teqHF9+GGgAAAACAikQAUwNUtQDmfA7uTlD05BitnLNf2dmO80M3d+mSgY0VdUtrNY2sXaFzBAAAAACgMAKYGqC6BTD5Th5N0aypO7Tox91KT8t2Orb9JQ0UNaa12nWvLze34rcyAQAAAABQXghgaoDqGsDkS0rI0Pxvd2rO1zuVFJ/hdGyzNrUVdUsbde8XLncPghgAAAAAQMUggKkBqnsAky89LUtLZ+y1HZGOH05xOja0caBG3BypPiOayMvbo8LmCAAAAAComQhgaoCaEsDky87O0c8LDmrGlzHavzPe6djgEB9dfmMrDbqmhfwDvSpsjgAAAACAmoUApgaoaQFMPtPga9PqIzaI2b7+uNOxvv6eGnR1c10+qpXq1POrsDkCAAAAAGoGApgaoKYGMIXt2nrSBjHrlsTJWeN1Ty939R7eRCNHRyosIqgipwgAAAAAqMYIYGoAAphfHd6XqOgpsVo+a5+yMnMc3jPTKKlbv3DbwrpFu5AK+ToBAAAAAKovApgagADmXKeOp2rOtB1a8MNupaVkOb1/bbrWs0FMx56htLAGAAAAAJQKAUwNQADjWEpShhZ8v1uzp+1Qwql0p/cxomWwDWIuGdRIHh7uLv86AQAAAACqLwKYGoAA5vwyM7K1bOY+RU+O0dGDyU7H1mvorxE3RapvVFP5+Hq67OsEAAAAAKi+CGBqAAKYksvJztXaJXGa8eV27dl+2unYwGBvXX5DSw2+rqUCa3mX+esEAAAAAKi+CGBqAAKY0rWw3rbumKZ/GaMtPx91OtbH10MDrmqu4Te1UkgD/1J/nQAAAAAA1RcBTA1AAFM2e2NOacakWP288IByHTdOkoeHmy67PEJRY1orvFmtMn4qAAAAAKA6IYCpAQhgXOPowSTNnBKrpdF7lZnhJImR1KVPmKLGtFFkp7ou+nQAAAAAQFVGAFMDEMC4VvzJNM39eqfmf7dLKUmZTse26ljXdk7q3CtM7u5uLp4JAAAAAKCqIICpAQhgykdqSqYW/bhHs6fG6tTxNKdjzZakqDGRunRohDw9aWENAAAAADUNAUwNQABTvrIyc7Rizj5FT4rVoX2JTseGNPDT8Jsi1f/KZvL1o4U1AAAAANQUBDA1AAFMxcjJydX6ZYc048sY7dpy0ulY/yAvDb2upYbe0FJBtX0qaIYAAAAAgIuFAKYGIICp+BbWMb+c0Iwvt2vjyiNOx3r7eKhfVFMNvzlS9RsGVNgcAQAAAAAViwCmBiCAuXgO7IrXjEkxWjX3gF0h44gp0NtzcGNbJyaiVe0KnSMAAAAAoPwRwNQABDAX3/HDKZo1NVaLp+9RRlq207EdLw21nZPadKknNzc6JwEAAABAdUAAUwMQwFQeifHpmvftLtvGOjkhw+nY5m3r6IpbW6tr33BaWAMAAABAFUcAUwMQwFQ+6alZdjXMzKmxOnkk1enYsIhAjRzdWr2GRcjL26PC5ggAAAAAcB0CmBqAAKbyysrK0er5B2znpIO7E5yODa7rq+GjWmng1c3lF+BVYXMEAAAAAJQdAUwNQABTNTonmY5J07/crthfTjgda8KXwdc21+U3tlJwiG+FzREAAAAAUHruZXgvXCwnJ0evvfaaWrduLR8fHzVt2lRPP/200tLSuNfVnCm227lXmJ58a6CeemeguvZt6HBsanKmpn8Ro8fHRGvia2t15GBShc4VAAAAAHDhWAFTiTz00EN6++23deutt2rw4MFat26d3n//fV199dX69ttvS31dVsBUTXF7ExQ9KVYr5uxTdpbjFtamUVKPAY1s56RmbepU6BwBAAAAACVDAFNJbN68WZ06ddLdd9+tDz/8sOD4Cy+8oL/+9a+aPn26oqKiSnVtApiq7eSxFM2etlMLf9hti/c60657fRvEtO/RgBbWAAAAAFCJEMBUEn/5y1/097//XVu2bFG7du0Kjp8+fVr169fXmDFj9Nlnn5Xq2gQw1UNyYoYWfLdLc77eqYRT6U7HNo2srZFjWuuSgY3k7uFWYXMEAAAAABSPAKaSGDFihFauXGkDl7N17txZmZmZ2rp1a6muTQBTvWSkZ2tp9F7NnBKrY3HJTsc2CA/QiNGR6jOiqbx9aGENAAAAABcLRXgLSUlJUXR0tF588UXddNNNatWqldzd3e1Wjttvv73ENzU5OVl/+9vf1LVrVwUFBdmHeW22E5lzxYmLi1OjRo2KPde4cWMdPHjwQr+2qKZMkDL42hb6+8Rhuu+ZS9UkMtjh2KNxyfrsjfV64pZo/fS/bUpJyqjQuQIAAAAA8nieeYakVatWlbrOSr79+/fbAro7d+60v/bz87Mthjds2GAfn376qebPn6+IiIhzwp/g4OL/Ie3r62vPA4V5eLjr0iGN1XNwI21Zc1QzvozR1rXHir1JZsvS1x9t0U9fxGjg1c01fFQr1anvxw0FAAAAgArCCpiz1KlTxwYoDz/8sK25YgrjllR2drauueYaG76EhobawrlmxYsJT3766Sc1aNDAnjNjTMvpwvz9/ZWeXnxdD9OG2pwHimNWaHW4JFSPvtZfz7w/WD0GNrKdkYpjivjOmhKrJ26N1sf/WGM7LQEAAAAAyh81YM4KUDw8itbJ6Nevn5YuXarx48drwoQJTm/mJ598ojvvvNO+XrRokfr371/k/OLFizVgwICCsYW3NVEDBq505ECSZk6O0dKZ+5SVWTTsO1u3fg0VdUsbtWwfwhcBAAAAAMoJK2AKOTt8uVD5Ac3AgQPPCV8Mcyz/uNmKVFjPnj0VHx9/TqFdU5TXHOvRo0eZ5oaaJbRxoMY90l2vTBqpK25tLb8Ax7sN1y05pBcfWKB/PLRIv6w4bLfMAQAAAABciwDGRVJTU7VkyRL7+oorrnA47sorryxYDWPek2/06NF2K8mbb75ZZPy//vUvZWVl6dZbb3XVVFGDBIf46sZ7OuqVSVEadW9HBdf1dTg25pfjeuupZfq/u+dq+ex9yspyvnIGAAAAAFByFOF1EbNKJb+uS8eOHR2Oyz9ntjtt27ZN3bp1s782tWbuv/9+vfvuu7ZujKlDs27dOr333nu66qqrnIY6wPn4B3op6pbWuvzGljZciZ4cqyP7k4ode2BXgv774s/65qMtGnFzpPpFNZWPH39UAAAAAEBZ8K8qFyncJtq0jXak8DnTejo/gDHeeustNW3aVB9++KGmTp1qC/k+8cQT+utf/+qqaaKG8/L20IArm6vfyGZatzTOdk7ave1UsWNPHEnRF//aoO8/3aohN7TU0OtaKDDYp8LnDAAAAADVAQGMiyQmJha8dtaxqPC5hISEc2rQPPbYY/ZRGr179y72+KZNm9SuXbsicwRad6ulyK49tGPTKc39ao+2rT1R7E1JSsjQ9xO2KvrL7eo1vJEGXdtUIQ1oYQ0AAAAAxQkKCir2OAEMUIOZukORnULs48CuRM37eo/WLTms3GLKv2Sk52jRD/u15KcD6j4wTENvaKaGTQMvxrQBAAAAoMohgCmHhCslJcXhuMLnatWqJVdavny505UxjlI4wGjXJUjtuoTr2KFkzZoSq8XT9ygz49wkJicnVz/PP2QfnXuF2doykZ3q2jAHAAAAAFDGACYzM0unTp6Wp5enQkJqFzmXkpyi99+ZoBXLfpa7u5sGDO6ju+77jXx8ak69iEaNGhWpB9O5c+dixx04cKDgdXh4eIXMDbgQ9RsG6LaHuuqa8e009+udmvvtTqUkZhY71rStNo+WHUIUNaa1uvRpaP8MAAAAAACUsg31N9N+VNTgm/TWP98759wf7ntSn386VTtidilm20599P7/9OB9Tyo3N1c1hamx4u6edzs3btzocJypx5Jf76Vt27YVNj/gQgXV9tF1d7bXPydHafT9nVSnvuO6Lzs3n9Q7z6zQX++coyUz9igrkxbWAAAAAFCqAGb5ktX2OerqYUWOL5i3VOvW/GJfD4sarGuuH2nDhZ9XrdeMH+eopvDz81O/fv3s6+nTpzscl3+uf//+9j1AZefr56nhN0Xq5c9H6M4neii8qeOtbIf2JuqTV9bqyVujNXNKrFJTil85AwAAAAA1TYkDmF079tjn9h3aFDluQhZT+2HsHTfrH68/q/978Un96fHf2dUvNSmAMW6//Xb7vHDhQi1duvSc8+bYokWL7Ovx48dX+PyAsvD0clffkU313MeX6w9/761WHes6HHvqeJqmvLdRj4+O1tcfbVbCqTRuPgAAAIAarcQBzOnT8fLx9VGt4KI//f555Tr7fP1NVxccu+b6KPu8bUusqppTp07p+PHjBY+srCx7PD09vcjx+Pj4c947btw4de3a1b4eNWqUoqOjbRBlHua1OWaYMWPHjq3g3xngGqbGS9c+DfXUvwbqybcHqEvvMIdjU5Iy9dP/tuvxMdH67I11OhaXzJcBAAAAQI3kllvCQi09Ow2Vr6+vFq/+qeBY3IFDumrYLWoQWk/RC6YVGT/g0iuVlpquVRur1iqYZs2aae/evecdN3DgQC1YsOCc4/v379fgwYO1c+dO++v8bUapqan2uWXLlpo/f74iIiJUUfK7IDnqkgSU1YHd8Zo5KVYr5+5XdrbjP1Lc3KVLBja2nZOaRhYt5g0AAAAA1VmJV8AEBQXabkeJCYkFx1atXGufO3ftcM743Jxc+frVnC5I+UywsmHDBj3//PPq0qWLrYdjHqYr0nPPPWfPVWT4AlSExs2DdddTl+ilz0do2KhW8vH1KHZcbo60ev4BPX/vPL3+2BJtXXu0RhXrBgAAAFBzlbgNdWSblna70TfTpmvcnaOVk5Ojb6dNt/VfevTM23aTLyE+UcnJKWrWvOoFDXv25NW6KYuAgAA988wz9gHUJHVD/TXmgc66amxbzf92p+Z8vVNJ8RnFjt3881H7aNamtqJuaaPu/cLl7kELawAAAAA1PIAZeeVQrV6xVv96/QOtXP6zTp2M17YtMfLx8dawkYOKjN2wfrN9jmja2PUzBlDpBdby1tXj2mn4zZFaOmOv7Yh0/HBKsWP3bD+t9/5vpUIbB2rE6Ej1Gd5EXt7Fr6ABAAAAgGq/BenaG6LUu19PZWfn2JbUJnwxq1/+8PC9Cqlbp8jYuTMXFLsyBkDN4uPrqSHXt9SL/xuue57uqcYtgh2OPXIgSRNfW6cnbonW9C+32wK+AAAAAFDjivAaZtvRzJ/masO6zQoMClC/gb3VtXvHImMyMzL1p98/rfS0dD35zB/VMrJ5ecwbF4AivKgszB83m1Yf0YwvY7R9/XGnY/0CPDXw6hYaNqqlatfNK2YNAAAAADUigEHVRACDymjXlpOaMSlG65bEydmfQp5e7uo9vIlGjo5UWERQRU4RAAAAAFyGAKYGIIBBZXZ4X6KiJ8do2ax9ys5y0sLaTerWL9y2sG7RLqRC5wgAAAAAlSaAWTR/mVYs+1nu7u7qN7CXevW5xBWXhQsQwKAqOHU8VXOm7dCCH3YrLSXL6di23eorakxrdejZwNabAgAAAIBqE8DMn7tEb77yni7r00N/fvbhIudefekdffnZV0WOjbtrjB565D7XzhalQgCDqiQlKUMLvt+t2dN2KOFUutOxEa2CbRBzyaBG8vAocU1xAAAAAKhwJf4Xy8K5S3Rgf5y6du9U5PjWzTH6YuI0W1yzXv26ahgeal9P/GiS1v68oTzmDKAa8w/01hW3ttErk0Zq7J+6qkGjAIdj9++I14d/W60/j52led/sVHqa85UzAAAAAFDpA5hNG7fZ50t7dS9y/Luvptvn/oN6a/q8yfpxziTdcPPVNoT5euqPrp4vgBrCy9tDg65pob9/Oly/ffZSNW1d2+HY44dS9PnbG/TELTP1w2fblJSQUaFzBQAAAACXBTCnTp6Wh4eHXeVS2PKlq20Nhjvuuc2eN+753Vj7/Mu6zSW9PAAU/4eUh5t6DmqsZ94frEde7af2lzRweKcST6fr24+36PHRMzTp3V908mgKdxUAAABApeBZ0oEJCYkKDCi6FeD0qXjt33dQgUEB6tKtQ8Hx0LAG8vXz1bGjx107WwA1lgl62/doYB97Y05pxqRY/bzwgHJzzh2bnpZta8iYbUmXXR5h68SEN6t1MaYNAAAAABcWwPj6+ioxMUlZWVny9Mx727q1G+1zp87tz+lE4u3lpYzMzJJeHgBKrGnrOvrtXy/V0YPtNXNKrJbM2KuszHOTmOzsXC2buc8+uvQJU9SYNorsVHQVHwAAAABUqi1ITZo2snVdFi9cUXBs1vR5Nnjp0r1jkbHp6elKSkpW3bp1XDtbACikQaNAjf1TN1uw98rb2sg/0Mvh/dmw7LBefnChfWxYfkg5OSVqAAcAAAAAFbsCZsCgPrbj0fN/eUV7du3T8WMnNGvGfHtu6PCBRcZu2xKrnJwc2xEJAMpbcIivbri7g6Juba1FP+7RrKmxOn08rdixsRtPKHbjcrslKWpMpC4dGiFPT1pYAwAAAChfJf5Xx63jR9lAJf50gt554z+a9L+v7YqYqKuGqmWrZkXGLpy37MzKmKItqwGgPPn5e2nEzZF6+fMRuv2x7gqLCHQ4Nm5Pgj56eY2eum2mrReTlkoLawAAAADlxy3XpCgldOzoCb33r4/0y/otCgwM0IDBfTT+rjEF3Y+MzIxMRQ25WSdPnNL7n7x+TttqVLzevXvb5+XLl3P7UaOYbUbrlx3SjC9jtGvLSadjA2p5a8h1LTT0hpYKCvapsDkCAAAAqBkuKIBB1UQAg5rO/DEX88sJzfhyuzauPOJ0rLePh/pd0dSupKkXVrTzGwAAAACUFgFMDUAAA/zqwK54zZgUo1VzDzgtxOvu7qaegxsr6pbWimgZzC0EAAAAcPECmP37DtqtRkZI3TqKaNKobLNBuSCAAc51/HCyZk3ZocXT9ygjPdvpLep0WaiixrRW6y71bH0rAAAAACj3AObokeP6+IP/aeb0eUpISCxyrlatII24cojuum+s6jeoe8GTQfkggAEcS4xP17xvdmruN7uUnJDh9Fa1aFfHrojp2jfcrpABAAAAgHIJYNav3ag/PfC0EuITbU2FYi/o5qbg2rX0xrt/V5duHUs8EZQfAhjg/NJTs+xqmJlTY3XySKrTsaa70sjRrdVrWIS8vH8tQg4AAAAAZQ5gTp48rRuixtpVLwEB/rpx9NXq1benwsIa2POHDx/VymU/a9rkH5SclGxDmK9+mqiQkNoluTzKEQEMUHJZWTlaNe+AoifF6ODuBKdja9fz1bAbW2ng1c3lF+DFbQYAAABQ9gDmrdc+0Kf//VJNmja27aXDGuYFL2c7cvio7rv9YVsf5va7b9EfHr63JJdHOSKAAS6c+aPxlxWHbcHe2F9OOB1rwpfB1zbX5Te2UnCIL7cbAAAAQOkDmJuvuUM7d+zRBxPe0CWXdnU69udV63Xv+D+qZatmmvrDhJJcHuWIAAYomx2bTQvrGK1fesjpOE8vd/Ud2VQjRkcqtFEgtx0AAADAhQcw/XpEKSc3V8vWRpdkuPp0HylTonJpCcej/BDAAK4RtydB0ZNjtGLOfmVnOf6j081d6tG/kS3Y26xNHW4/AAAAAHmW9B6Y8MXD3b3Et8zdzc2+BwCqi/BmtXTnE5foujvba/bUHVr44x5bvPdsuTnSzwsP2kfbbvXUpXdD+Qd6qUGjQEV2qksrawAAAKAGKnEAExpaX/v2HtC2LTFq276107FmTEpKqpo2i3DFHAGgUgmp76/R93fWVWPbav53uzTnq51KPJ1e7Nht647bR76IlsH6/d96q16YfwXOGAAAAMDFVuIlLZf16WGLUv79/15XclKKw3GpKal68bk37E94e/W9xFXzBIBKJyDIW1f9pq1emTRSv/ljV9UPDzjve/bvjNfLDy5URvq5K2cAAAAAVF8lrgETd+CQbrxqvDIyMhUa1kC33z1Gl/W+RKFnuiEdOXxMK5f/rM8+nqyDBw7Jx9dHX/34qcIbhZX37wHnQQ0YoGJkZ+dozcI4Tf9yu/bviHc61mxJGjmmte2e5B/ozZcIAAAAqOZKHMAYc2ct0p8ffUGZmZkOaxiYy3l5eenFV5/R0OEDXDlXlBIBDFCxzJ+DU97fqFlTdpx3rK+/pwZe3VzDbmylOvX9KmR+AAAAACpeyavqSjZQmTj53+o74DIbwJh/ZBR+mGP9B/bSxCnvEb4AqLHMn4Xd+oaXaGxaSpZmTo7VE7dG65NX1ujQvsRynx8AAACASr4CprDExCRt2xyjkydP21+HhNRW2w6tFRQU6Oo5ooxYAQNUPPNH63P3zjvvVqSzmcWFXfs2VNQtbdSyfUi5zQ8AAABAFQlgUHUQwAAXx/HDKXrnmeVFQpjwZkFq3bmeVs7dr9Rk54V4zbioW1qr02WhtK4GAAAAqjgCmBqAAAa4eEzGHbvxhI7GJatBeIAiO9W1YUpKUqYW/rBbs6fFKv5k8S2s8zVuEayoMZHqOaSxPDwuaOcoAAAAgEqCAKYGIIABKq/MjGwtn71P0ZNideRAktOxdUP9NeLmSPW7oql8fD0rbI4AAAAAyimAueryMS4rRPnD7C9dci2UHgEMUPnlZOdq7ZI4RU+K0e5tp5yODazlrSE3tNTQ61ooMNinwuYIAAAAwMUBTPd2g1xzcTc3rdky3yXXQukRwABVh/kjefv645rx5XZtWn3U6VhvXw8NuLKZht8UaVfHAAAAAKhiAcz330S77AOuuX6ky66F0iGAAaqmfTtOK/rLGK1acEC5OY7HeXi46dIhERp5S6QaNw+uyCkCAAAAKCFqwNQABDBA1XbsULJmTYnV4ul7lJnhJImR1LlXmO2clF/sFwAAAEDlQABTAxDAANVDwqk0zf1mp+Z9u0spiZlOx7bsEKKoMa3VpU9DubsTxAAAAAAXGwFMDUAAA1QvaalZWvTjbs2aukOnjqU6HduwaZBGjmmtXkMj5OlFC2sAAADgYiGAqQEIYIDqKSszRyvn7redk+L2JjodW6e+n4aNaqUBVzWTn79Xhc0RAAAAQB4CmBqAAAao3nJycvXL8kOa8WWMdmw+6XSsf6CXBl/XQpff0FK16vhW2BwBAACAmo4ApgYggAFqjtiNpoV1jDYsP+x0nJe3u/pFNdOImyNVPzygwuYHAAAA1FQEMDUAAQxQ8xzYHa+Zk2LtFqXs7FyH49zcpZ6DGtvOSU1a1a7QOQIAAAA1CQFMDUAAA9RcJ46kaPa0HbZob3pattOxHS5pYIOYtt3q08IaAAAAcDECmBqAAAZAUny6bV9t2lgnxWc4vSHN29axnZO69wuXuwctrAEAAABXIICpAQhgAORLT8vSkhl7NWtKrI4fTnF6Y0IbB2rE6Ej1Gd5EXt4e3EQAAACgDAhgKom1a9fq888/17x587R79255eHiodevWeuCBB3TbbbeVaTsAAQyAs2Vn52j1/IO2YO+BXfFOb1BwiI8uH9VKg65uYbsoAQAAALhwBDCVxJgxYzR37lzdeOON6tatm9LS0jRlyhQtW7ZMd955pz766KNSX5sABoAjubm52rTqiA1itm847vRG+QV4auDVLTRsVEvVruvHTQUAAADKGsD0aD/YNRd3c9PPm+e55FrVnQlaevToIR8fn4JjOTk5GjJkiBYuXKiNGzeqY8eOpbo2AQyAkti15aRmTIrRuiVxOvdvhl95ermr9/AmGjk6UmERQdxcAAAAoATciztoMhlXPVAyffr0KRK+2C+Ou7tdEWNs2rSJWwmgXLVoH6IHnu+lv00Ypv5XNJWHZ/FbH7Myc7T4pz36y/jZ+vezK7R720m+MgAAAMB5eBZ38MNP3yx2cNzBw3rt5XeUkpKqocMG6LI+lyg0tL49d+TIMa1avkZzZy2Sv7+fHnnqATUMDzvf5+M8Dhw4YJ/r18+7zwBQ3sKaBOn2x3ro2jvaa860HVrww26lpWSdM85k7GsWxdmHaV0dNaa1OvRsQAtrAAAAoCw1YE6dOq0x190tUwv27Q/+odZtWhY7Lnb7Tv3hvifsN+Bffv1f1a4TrIqUkpKiRYsW2aK269ats49du3bZ1Tjjx4/XhAkTSnSd5ORkvfHGG5o2bZp27txpj7Vs2dKuSHn44YcVEBBQzr8T6dChQ2rfvr2Cg4MVExMjb2/vUl2HLUgAyiIlKUMLvt+t2dN2KOFUutOxEa2CFXVLa10ysJE8PIpdZAkAAADUSCUOYF596R19+dlXeuv9l9RvQC+nY5csWqEH73tSt44bpUef+r0q0oIFCzR4cPE1bEoawOzfv99eIz948fPzswGOKYybH8TMnz9fERERRd53+vRpvflm8auHzhYYGKhHH33U4fn09HQNHTpUy5cv16xZs+zr0iKAAeAKmRnZWhq9VzMnx+poXLLTsfUa+mvEzZHqF9VM3j60sAYAAABKHMBcM/xWHTt6XMvXzzrvWHPJPt1GqH5oPX0/84sKD2BuuOEGde3a1XYTMo9XXnnFFrEtSQCTnZ2tSy65ROvXr1doaKg++eQTjRw50p6bMWOG7rjjDh09etRef82aNbZOS749e/aoefPmJZqnufbhw4eLPZeVlWVX2vzwww/68MMPdffdd6ssCGAAuFJOdq7WLM5rYb035rTTsUG1fTT0hpYafG0LBdYq3So+AAAAoNrWgCnO0SPH5FXCLTBm+5Gnl5eOHXHe0rQ89O/fXydPFi0I+f7775f4/RMnTrThizF16lR7vXxXXHGF3ZI0YMAAO8aMvf322wvON2vWrMyFh00AdOutt+r777/X22+/XebwBQBczd3DTT0HNbbbjLauPWaDmC1rjhY7NvF0ur79eItmfLFdA65qruE3tVJIA3++KAAAAKhxSrxBPyAwQCnJKdoZu/u8Y82Y5KRk+QdU/DfZHh5lW+qev0Jm4MCBRcKXfOZY/vFPP/1UrmTaTo8dO9YGP6+++qr+8Ic/uPT6AOBKJmxv36OBHnm1n555f7B6DmokNwd/q6SnZdsaMk/eOlMfvfyz4vYk8MUAAABAjVLiAKZr9052dcffn3tdqal5tVCKk5aWbseYb8y79eisqiQ1NVVLliwpWO3iyJVXXmmfFy9ebN/jqvDFbG/68ssv9eKLL+qRRx5xyXUBoCI0a1NHv332Mv194nANuqa5PL2K/+slOztXy2bu0zN3zNG/nl6uHZtO8AUCAABAjVDiLUh33nubFs1fqg1rN2n0tXdq3J1jdGnv7mpwpg212aK0esVaTfx4svbvO2i7X5j3VCVbt261QYjRsWNHh+Pyz5ntQtu2bbN1Zsrqscces1uaevbsaYv7/u9//ytyvk+fPmrRokWZPwcAylNoo0CN/VM3XTO+neZ8tUPzv9ut1OTMYseuX3bIPiI71bWdkzpdFiZ3dze+QAAAAKjZAUyHTm311789ruef+acO7I/TS8+/Uew4s0rGw9NDzzz3qNp3bKOq5ODBgwWvGzdu7HBc4XNxcXEuCWBMQV9j9erVdhvS2Uwx4PMFMPnFds+2adMmtWvXTomJiWWeJwCUhLuXNHxMUw24ppGWzTyghd/tU/zJ4ltYx248odiNyxXWJEBDbmimHgPC5OFJC2sAAABUTUFBQWULYIyrrxup1m1a6p03/6vlS1YXrBbJZzoC9el/qR546C61bd9aVU3hgMLf33H9msLnEhISXNa9CQCqG19/Tw25vpkGXNVEPy84pHlf79HRgynFjj28L1lfvLlZMz7fqUHXNlWv4Y3k40sLawAAAFQPFxTAGG3aRepfH/xDiYlJ2rY5RidP5rUgDQmprbYdWisoKLA85okSWL58udOVMY5SOACoCMNuCNbQ69rYbUemc9KuLUU71uU7dSxN3/x3u2ZN2a0h17WwbayDgn34IgEAAKBmBTD5TNDSs1d3VSeFA4qUlOJ/Qnv2uVq1apX7vACgujA1Xrr3C1e3vg0V88sJzfhyuzauPFLs2OSEDP0wcZtmTo5VvyuaasTNkaoXFlDhcwYAAAAuagBTHTVq1KhIPZjOnYvv4nTgwIGC1+Hh4RUyNwCoTkynvDZd6tnH/p3xip4Uo1XzDignJ/ecsRnp2Zr3zS4t+G63eg5ubAv2RrQMvijzBgAAACosgDFtpr+Z+qOWLVmlQ3FHlJ6Wrh9mf1lw3mxNWrJgufnuWlFXXa6qxBSqNXVsTG2bjRs3KioqymFRW8PDw0Nt27at4FkCQPViwpR7nu6p6+9qr1lTdmjx9D02dDmbCWdWzt1vH50uC1XUmNZq3aWeDXMAAACAahXAxG7fqT/e/2cdPnTUdjsyzv7GNzAwQP95b6L27jmguvVCdGkV2qbk5+enfv36adGiRZo+fboef/zxYseZc0b//v3tewAAZWe2F936YBddPb6t5n2zU3O/2WW3IRXHbFsyjxbt6tgVMV37htPCGgAAAJVaift8JsQn6vf3PmFXvZhCvH96/HcKCDx3L74JZK698Qob0Cyct1RVze23326fFy5cqKVLz52/OWYCGmP8+PEVPj8AqO5Mwd1rb2+vf04aqTEPdFZIA8dB966tp/TuX1fqmdtna/FPe5SZce7KGQAAAKBKBTCffzpVx44e1yWXdtVnU97T2DtGy9fXu9ix/Qbmdd3ZuGGLLoZTp07p+PHjBY+srCx7PD09vcjx+Pj4c947btw4de3a1b4eNWqUoqOjbZhkHua1OWaYMWPHjq3g3xkA1Bw+fp4aNqqVXvp8hO566hI1au646Pnh/Uma8OpaPXnbTEVPjlFqcmaFzhUAAAA4H7fc/L1E5zHm+rsUu32XPpvyvtp3bGOPDet/vU6eOK01W+YXGWsueWnny+12pPnLv1dFa9asmfbu3XvecQMHDtSCBQvOOb5//34NHjxYO3futL/O32aUmppqn1u2bKn58+crIiJCVUF+G2pHbaoBoCowf7f8suKwZkyKUewvJ5yO9Qvw0uBrm+vyG1spOMS3wuYIAAAAlHkFzIF9cfL09FS7Dq3PO9ZsQzLhS1JSsqoiE6xs2LBBzz//vLp06WKL7ZqH6Yr03HPP2XNVJXwBgOrC/N3SpXdDPfnWQD31zkB17dvQ4VizAmb6FzF6fEy0Jr6+TkcOJlXoXAEAAIBSr4Dp3XW4DSGWrJlRcMzRCpj88Z5eXlq8+qeSXB7liBUwAKqruD0JdsvRijn7lZ3l+K8zN3fpkgGNbMHepq3rVOgcAQAAgAtaAVOvfl2lpqbp9Klz66acbfvWWKWnZ6hhwwbcZQBAuQlvVkt3PnGJXv5ihIbf1MrWjSlObo60esFBPX/ffL326BJtWfNrNz8AAACgUgUw3Xp0ts/RP80979iP//OFXSreswq1oAYAVF0h9f01+v7O+ufkkbr+rvYKqu3jcKwJX0wI88J987V6/gHlZBPEAAAAoBIFMKNvu97+tPDDf39qV7gUx3QZevWldzR7xny5u7vp5luuc+VcAQBwKiDIW1f9pq1emTRStz3URfUa+jscuzf2tN5/fpWeHjdLC77fRQtrAAAAVI4aMMab/3xPEz+eLB8fb/Xq21Orlq9RWlq6xt5xs+IOHtbqFeuUkJBog5rfPXin7vnduPKdPUqEGjAAaqrs7Bz9vPCgZnwZo/07nG+hrVXHx3ZNMt2T/AO9K2yOAAAAqBkuKIAxzAqY/773mbKysvIu4OZWcM5cysPTQ/c9cLvu/u1Y188WpUIAA6CmM38/bf75qA1itq075nSsr7+nBl7dXMNubKU69f0qbI4AAACo3i44gDEOHzqq776ervVrNurYsRPKyc5W3Xoh6tqjs6678Qo1auy4NSgqHgEMAPxq97aTmjEpVmsXHZSzvwE9PN3Ue1gTjRzTWg2bBHELAQAAUDEBTMz2nfa5ceOG8g9wvKcelQ8BDACc6/D+RM2cHKtls/YpKzPH4S0yCz279m2oqFvaqGX7EG4lAAAAyjeA6d5ukNzd3TVr8dcKCalduk/DRUEAAwCOnT6Rqjlf7bSFeFOT87bXOtKmSz1F3dJaHS8NLbIFFwAAAHBZANP/kivk4eGhBSt/KMlwVCIEMABwfilJmVr4w27Nnhar+JPpTsc2bhGsqDGR6jmksTw8StxQEAAAADVYiQOYm6+9U3t379fStTPk6elZ/jODyxDAAEDJZWZka/nsfYqeFKsjB5Kcjq0b6q8RN0eq3xVN5ePL340AAABwrMQ/thtyeX/b+WjxguUlfQsAAFWOl7eHBlzZXH+bMEy/+7/L1LxtHYdjTxxJ0Rf/2qDHR0fru0+3Kine+coZAAAA1FwlXgGTmpqmW2+4R0lJSXrnw1fUpl1k+c8OLsEKGAAoPfPX5Pb1xzXjy+3atPqo07Hevia8aabhN0Xa1TEAAADABQcwP3wbrdOn4vXBOxOUnpGhPn172rbTpiCvu5P971dfN7Ikl0c5IoABANfYG3ta0ZNitHrBAeU6bpwkDw83XTokQiNviVTj5sHcfgAAAFxYF6T8jg/mLSXp/mDG/Lx5Hrf5IiOAAQDXOhaXrJlTYrVkxh5lZjhJYiR17hWmK25trchO9fgyAAAA1GAlDmCuGDJapem4+dPcyaWYFlyJAAYAykfCqTTN/Wan5n27SymJmU7HtuoQYltYd+7dUO7utLAGAACoaUocwKDqIoABgPKVlpqlRT/u1qypO3TqWKrTseFNgzRiTGv1GhohTy9aWAMAANQUBDA1AAEMAFSMrMwcrZy739aJidub6HRsnfp+GjaqlQZc1Ux+/l58iQAAAKo5ApgagAAGACpWTk6ufll+SDO+jNGOzSedjvUP8tLga1vo8htaqlYd3wqbIwAAACoWAUwNQAADABdP7EbTwjpGG5YfdjrOy9td/aKaacTNkaofHlBh8wMAAEAlDmA2rNukdWt+0ZHDx5SammbaIjm4upv+7+9PuGCaKAsCGAC4+A7sjtfMSbF2i1J2tuO/et3cpZ6DGtuCvU1a1a7QOQIAAKCSBDD79x3Unx99QVs2bS9yvLi21PnH1myZ77rZolQIYACg8jhxJEWzpsZq0U97lJGW7XRsh0sa2CCmbbf65/w9CwAAgGoawCTEJ2r09XfpyKGjqluvjrr37KrZM+bLx9dHQ4cP0PFjJ7Rpw1alpKSqdp1g9R/Yy77vuZeeKu/fA86DAAYAKp+k+HTbvnru1zuVlJDhdGzztnU0ckxrde8XLncPghgAAIBqHcB88M4EffDuBHXs3E4ffPK6/Pz91L3dINWtF6LZi7+2Y1KSU/T+OxP0vwlTNPq26/XEXx4q7/mjBAhgAKDySk/L0pIZezVrSqyOH05xOja0caBGjI5Un+FN5OXtUWFzBAAAQNl5lnTgogXL7PLn+x+6y4YvxfEP8NfDT9yv9PR0TfniW13aq7sGX97fBdMEAKB68vH11NDrW2rQNc21ev5BW7D3wK74YsceOZCkia+t03efbNHlo1pp0NUt5B9IC2sAAICqwL2kA/ftPWgDmB49uxY5npWVdc7Yu+4ba2vATJv8vWtmCQBANefh4a5el0fo//47RH98uY/adKnncGz8yXR99eFmPT5mhqZ9uEmnT6RW6FwBAABQjitgMjMyFFQrUF5ev77F1H9JST73m74GofXs2O1bd5RiSgAA1Fzmhx2dLguzj11bTmrGpBitWxJXbMPB1OQsu2Jm9rQddluSqRNjtikBAACgCq+AMbVe0tOLFgkMCaltV8DEHTxc5Hh2drYtxmsK9wIAgNJp0T5EDzzfS3+bMEz9r2gqD8/iC/BmZebYrkpPj5ulfz+7Qru3neSWAwAAVNUAJqxhqNLT0m23o3xt20fa53mzFxUZO2/2YmVnZdtuSQAAoGzCmgTp9sd66B9fjLRFeH39i1/AalbJrFkUp7/9boH++fBibVp1xG4JBgAAQBXagtS5WwetX7tR69b8omEjB9tjw6OGaP6cJXr3rY+UmZmltu0iFbN9h/773md2CXW/M62oAQBA2dWp76ebf9tJV/2mjeZ/t1tzvtqhhFPpxY7dtu6YfUS0ClbULa11ycBGts4MAAAAKnkb6o0btmj8mPs1YHAfvfnvFwuO33fHw1q9Yq0NXPKZS9ZvUE+fT/tA9erXLZ+Zo8RoQw0A1VNmRraWRu/VzMmxOhqX7HRsvYb+GnFzpPpFNZO3Dy2sAQAAKm0A40haWro+ev8zzZw+T4cPHbXFd/v0u1QP/PFuhTVs4LqZotQIYACgesvJztWaxXktrPfGnHY6Nqi2j4be0FJDrmuhgCDvCpsjAABATVfmAAaVHwEMANQM5q/0rWuP2SBmy5qjTsf6+Hpo4NXNNeymVgqp719hcwQAAKipCGBqAAIYAKh59mw/pehJMfp50UHl5jgeZzor9bo8wrawDm9aqyKnCAAAUKMQwNQABDAAUHMdOZikWVNitWTGXtuu2pmufRragr2tOlK/DQAA4KIFMGtWbyjVB/To2aVU74PrEMAAAOJPptmuSaZ7UmpyptMbEtmprg1iOl0WJnf3X4vsAwAAoAICmO7tBhXpdFSii7u56efN80o7N7gIAQwAIJ8JXxb+uFuzp+3Q6eNpTm9MeLNaihoTqUuHRsjTkxbWAAAAFRbAlMbarQtK9T64DgEMAKC4FtYr5uy3dWIO709yeoNCQv00fFSkBlzZTD5+ntxMAACAi1kDJikpWZs2bNFHH/xPO2J269V/vcD2o0qCAAYA4EhOTq7WLzukGV9s166tp5zeqIBa3hp8bXM1bxuipIQMNQgPsNuVLnSFLAAAQE3k8iK85nJ/euBpWzPmi68+VESTRq68PEqBAAYAUJK/v2M2HNeMSTHauPJIiW9YRKtg/f6F3qoXRitrAAAAZ1y+odv8FOyPj/5WyUnJ+u97E119eQAAUA7M399tutbXH1/uq//771DbmrokBXj374jXG48vsQEOAAAAHCuXinrNWjRRQGCAVixbUx6XBwAA5SiiZbDuebqnXvp8uIZe31LePh5Ox5saMi8+sEDb1x8jiAEAAKioLUhGZmaW+nYfaX+atvKX2a6+PC4QW5AAAGWRGJ+uCf9co/VLD593bIt2dWwL6659w2lhDQAAUN4rYBbMXaysrCyF1K1dHpcHAAAVKCjYRyNubl2isaaQ77t/Xam/3jFHi6fvsd2WAAAA4MIAJjMjU/v3HdSE/36h55951a5+6dv/Mu4xAADVgOl2ZArultShfYma8M+1evK2mYqeHKPU5MxynR8AAEC12YLUo/3gEl/UXLJBaD1NnPy+fcbFxRYkAIArHD+coneeWW4L7+ar19BfgcHe2rPttNP3+gV42RbWl9/YSsEhvnxBAABAjVPiAKZ7u0EluqCPr4+GDh+gBx++Vw1C65d1fnABAhgAgKuYbxtiN57Q0bhkNQgPsCtjzKrXHZtOaMaXMVq/7JDT93t6uavvyKYaMTpSoY0C+cIAAIAao8QBzM+r1js97+npoaBaQWrarLE8PT1dNT+4AAEMAKCixO1JsFuOVszer+xsx99iuLlLlwxoZAv2Nm1dhy8QAACo9sqlCxLKbuvWreratasyMjL0ww8/6Kqrrir1tQhgAAAV7eSxFM2eukMLf9it9DTnhXjb92hgg5h23evb1TQAAADVEUtVKiGTid13333y8vKyAQwAAFVNSH1/jb6/s678TVvN/26X5n69U4mn04sdu2XNUfto2rq2osa0Vo8BjeTuQRADAACql3JpQ42y+fjjj7VmzRo99thj3EoAQJUWWMtbV49tq1cmjdRtD3WxRXsd2RtzWu8/v0pPj5+lBd/vooU1AAComVuQfvg22mUfevV1I112rerm2LFjatu2rR555BGFh4frjjvuYAsSAKDayM7O0c8LD9qCvYW7KRWnVh0f2zXJdE/yD/SusDkCAABc9C5IrtiXba7x8+Z5Zb5OdTV+/HitWLFCGzdu1BdffEEAAwColsy3H5t/PmqDmG3rjjkd6+vvqYFXN9ewUa1Up55fhc0RAADgotSACWsYKpO/nDoVr7TUNHvMw9NDtWvXsq9Pn05QdlZekT0/P1/VrhOsiyElJUWLFi3S2rVrtW7dOvvYtWuX/UbPhBsTJkwo0XWSk5P1xhtvaNq0adq5c6c91rJlS9144416+OGHFRAQ4PK5z58/XxMnTtSsWbPk7c1P+gAA1Zf5gUzHnqH2sXvbSRvErF0cp+J+LJSWkqWZk2M156sd6jO8iUaObq2wJkEXY9oAAADlH8BMnzdZX03+Xv/429vq3LWD7r1/vC65rGtBUGCKxf68cr3++/5Ebd64XXfd9xvdcPPVqmirVq1SVFRUma6xf/9+DR48uCB48fPzswHOhg0b7OPTTz+1YUlERESR950+fVpvvvlmiT4jMDBQjz76aMGv09PT9dvf/lY333yzhg0bVqb5AwBQlTRvG6L7n+ulw/sTbdCybNY+ZWXmnDMuOytXi6fv1ZIZe9WtX7gt2NuifchFmTMAAEC5BTA/r1ynl194U/0G9tarbz8vDw+PIudNENOn/6Xq1fcSPfrgM3rp+TfUtHkT9ejZRRWtTp06toVzt27d7OOVV16xW3pKIjs7W9dcc40NX0JDQ/XJJ59o5Mi8mjUzZsywW4LMOTPGFMp1d3cvEsA899xzJfocc+3CAczLL7+suLg4zZvH9iwAQM0UFhGk8Y9217V3tNOcr3baQrypyVnnjDOrZMxqGfNo06WebWHd8VKzUpfOSQAAoBoEMJ99Mlk5Obl67KnfnxO+FGYCiUee/L0WzF1q31PRAUz//v118uTJIsfef//9Er/fbAFav369fT116lR7vXxXXHGF3ZI0YMAAO8aMvf322wvON2vWzK6UuVCHDh3SSy+9ZFfApKamaseOHfb40aNHC86bY+b6np50DgcAVG+16/pp1L0ddcWtbbTgh12aM22H4k8W38J6+4bj9tG4RbCixkSq55DG8vCgySMAAKjCRXgv73e9MjMztXDljyW68MDLrpKXl5fmLPlGF1u/fv20dOnSEtWAGThwoK0hY54XLFhQ7BgTwCxevFiDBg2yW5HKyoQ5ZqXO+ezevduGMBeqd+/e9nn58uWlmh8AABdTZka23ZZkticdOZDkdGzdUH+NGB2pflFN5ePLDy0AAEDlUeLvTJISk+yS36ysrPOuwjBj0lLTlZ5W/E+rKiuz+mTJkiUFq10cufLKK20AYx7mPaZGTFk0b97crrY5mwmA3n33XT355JPq0aOHGjRoUKbPAQCgKvLy9tDAq5qrf1QzrV0Sp+hJMdq97VSxY08cSdEXb2/Q959u1dDrW2rIdS0UGOxT4XMGAAAoUxek/fsOanb0AkVddbnTsWaMWS0T0aSRqpKtW7cqJyev6F/Hjh0djss/Z+rFbNu2rUSrV5wJDg7WqFGjzjmelJT3U76+ffvqqquuKtNnAABQ1bl7uOmSgY3UY0C4bV1tOieZVtbFSYrP0HcTtmrGpBgNuLKZht8UaVfHAAAAXCwl3iQ9ZNgAW9/EFNddtniVw3Erlq62Y0whvKHDB6oqOXjwYMHrxo0bOxxX+JwpnAsAACqO+R6jXfcGevif/fTXD4fo0iGN5ebgO5qMtGxb0Pep22bqvy/+rAO74/lSAQCAyr0CxrSVnh09XwcPHNIf7ntCHTq11WW9e6h+aD17/tiR41q1Yq02/bLVBjWNGjfUnffdpqokMTGx4LW/v+OfkhU+l5CQUG7zMQV+Cxf5LWmtl7Nt2rRJ7dq1K/L7AwCgOggJ89Ctf2yn4WOaasG3e7VyTpwyM4ppYZ2dq+Wz99lHh571NPTGZmrRvs5FmTMAAKjegoKCyhbABAT667+fvaXHHnrWhizmsXnjtiJj8uv5mnDmlTefU2BgQFnnDQAAcF71wvw16rftNGJMSy3+cZ+WTN+vlKRzW1gbm1cft4/mbYNtENO+Z325u9PCGgAAlK8Lag8QGtZAE758V3NnLdLM6fO0edM2nTqRVwSvTt066tCxrUZcMdhuPTLtqKtySpWSkuJwXOFztWrVUmXhqMtR/soYRykcAADVhfmrbvTv6uqa8R21+Kc9mjUlVqeOpxU7dve2eP337xsU3jRII8e01mVDI+TpVfW+fwEAAFXDBfdnNMHKsJGD7KO6adSoUZF6MJ07dy523IEDBwpeh4eHV8jcAABAyfn5e9nCu0Oua6kVc/fbzkmH9ha/FTdub6I+/scaffPxFg2/qZUGXNVcvn60sAYAAK7Fj3kKMXVS8lfubNy40eFNMzVVDA8PD7Vt29bFXxIAAOAqZkVLv5FN9fzHl+sPf+ulVh1CHI49dSxVk/+9UY+NnqFvPt6sxNPpfCEAAEDlC2BOnjytebMXaf7cJUpMqJrFXv38/NSvXz/7evr06Q7H5Z/r37+/fQ8AAKjcTI2Xrn3D9dQ7g/Tk2wPUuVeYw7EpiZn68bPtNoj5/K31OnYouULnCgAAqqcSr6/dujlG0yZ9pxatmum28TcVORf901w995dXlJGeYX/t7++n5//xZw0emhdmVCWm69CiRYu0cOFCLV26VH379i1y3hwz543x48dfpFkCAIDSiuxUTw+9VM+2pI7+Mlar5u23XZLOZropzft2lxZ8v1s9BzXSyFtaq0mr2tx4AABQvitgZvw4R99+NV05OUVbOx49ctyGL+lp6bYLknkkJ6foz488b1tWXwynTp3S8ePHCx5ZWXldENLT04scj4+PP+e948aNU9euXe3rUaNGKTo6uuD3ZV6bY4YZM3bs2Ar+nQEAAFdp3DxYd//5Er30+QhdfmNLeft6FDsuJydXK+cd0HP3zNMbjy/RtnXHCjo/AgAAlJRbbgm/g7ht1L3atiVW30b/TxFNfi1W+/6/PtGH//7Uroz551vPycfHR395/G/asG6zbhl7ox596veqaM2aNdPevXvPO27gwIFasGDBOcf379+vwYMHa+fOnfbX+duMUlNT7XPLli01f/58RUREqCrI74LkqEsSAACQkuLTNffbXZr39U4lJeSt6nWkeds6tnNS937hcveghTUAAHDhCpjjx07Kzc1NDcNDixxfvHC5Pf7AQ3epeYumCm8Upsf+/KD9ydCq5WtUFZlgZcOGDXr++efVpUsXW2zXPExXpOeee86eqyrhCwAAKJnAYB9dO76dXpk0Urf+oYvqhvo7HLt72ym9938r9Zc7Zmvhj7uVmZHNbQYAAK5ZAdOryzC7EmT+iu8LjqWlpav/JVFyd/fQotU/2tUv+S7tdLm8vb20ZM2Mklwe5YgVMAAAXLisrBz9PP+AZkyK0YFdCU7HBtf11bAbW2ng1c3lH+jF7QYAAKUvwuvm7m5ruxS2eeM2ZWfnqH3HtkXCFyMg0F8pyXlbdgAAAKoaT0939RrWRJddHqFNq45oxpcx2r7heLFj40+kadqHm/TT59s06JoWtqZM7bp0SgQAAKXYgtSwYQNlZ2dr88atBccWzltqtx916daxyFhTqDc5KUV1QoJLenkAAIBKyXyv0+myMD3+5gA9/e4gde8fLjcHZV9Sk7NsUPPELTP16atrdeRAUkVPFwAAVPUApnvPrrauy0vPv6mNG7Zo/pzF+nrKD/Zcv4G9iozdvWuf7TxUv0E9188YAADgImnRPkQPPN9LL0wYpn5RTeXhWXwSk5WZo0U/7dHT42bp3/+3Unu2n6rwuQIAgCq6BWnsHaP103cztXVzjG6/5QF7zAQy7Tq01qW9uhcZu2zxSvvcoVNbV88XAADgomvYJEh3PN5D193RXrO/2qEF3+9WemrWOeNMpb01Cw/aR9tu9RV1S2t1uKSBXVUDAABqlhKvgGnarLHefO8lNYpoaIMX841D77499ca7fz9n7A/fRNvnSy7t5trZAgAAVCJ16vvp5t920qtTRuqGuzuoVp2iNfEK27bumN54fKmev2+eVs07YOvoAQCAmqPEXZAKO3XqtPz9/c4pvGtkZmZpw7pNBStg/Px8XTNTlBpdkAAAqBgZ6dlaNnOvZk6O1dG4ZKdj64cHaMTNkeo7sqm8fTz4EgEAUM2VKoBB1UIAAwBAxcrJztWaRQdtQd69saedjjWrZobe0FKDr22hgCDvCpsjAACoWAQwNQABDAAAF4f5OdfWtcc0/Yvt9tkZHz9PDbyqmYbd1Eoh9f0rbI4AAKBiEMDUAAQwAABcfKYTklkRs2bxQeU6Kf9iOiv1ujxCI8e0VnjTWhU5RQAAUI4IYGoAAhgAACqPIweTbI2YpdF7bbtqZ7r2bWg7J7XqULfC5gcAAMoHAUwNQAADAEDlE38yTXO+2qH53+1WanKm07GRnesqakxrde4VRgtrAACqKAKYGoAABgCAysuELwt/3K3Z03bo9PE0p2MbNa9ltyZdOqSxPD3dK2yOAACg7AhgagACGAAAKr/MjGytmL1f0ZNjdHh/ktOxIaF+GnFTpPpf0cwW7wUAAJUfAUwNQAADAEDVkZOTq/VL42zB3l1bTzkdG1jLW0Oub6Eh17dUULBPhc0RAABcOAKYGoAABgCAqtnCOmbDcc2YFKONK484Hevt66H+Uc00/OZI1QujhTUAAJURAUwNQAADAEDVtn/Hac2YFKvV8w/YFTKOuLu76dKhjW3B3sYtgit0jgAAoBwCmJycHO3bc0Dx8QnKysp2OrZHzy4Xenm4GAEMAADVw/HDyZo5JVZLpu9VRrrz78E6XRaqqFvaqHXnunROAgCgqgUwx46e0L9e/1BzZi1Uelr6+S/u5qafN88r6xxRRgQwAABUL4mn0zX3m52a9+0uJSdkOB3bon2Iom5pra59GtoVMgAAoJIHMEePHNe40b+1IcyFLJpZu3VBWeYHFyCAAQCgekpLzdLin/Zo1tRYnTya6nRswyZBGjE6Ur2HNZGnFy2sAQCotAHMC8/8U99M+0kBAf564I93a9DQfqrfoK48PDzKf5YoEwIYAACqt6ysHK2au9/WiYnbk+B0bO16vhp+U6QGXNVMfv5eFTZHAABquhIHMCMHjbKrX15+/VkNGzmo/GcGlyGAAQCgZjAFejeuPGxbWMduPOF0rH+glwZf20JDb2ip4BDfCpsjAAA1VYkDmMs6D7Nbj5ati5anp2f5zwwuQwADAEDNYwKY6EkxWr/skNNxZjtSv6imGnFzpBo0Cqyw+QEAUNOUOEkJqVtbSUkphC8AAABVQGSnuors1NtuSZoxKUYr5+xXdva5P3fLyszRgu93a+GPu3XJwMa2YG/TyNoXZc4AAFRnJa7AdlnvHkpJTtHe3fvLd0YAAABwmfBmtXTXk5fo5S9GaNioVvLxLb5+X26OtHr+AT1/7zy99tgSbVlz9IIaLwAAABdtQdq394BuveEe9ezVXW+8+/eSvAWVBFuQAABAvqSEDM3/bpfmfr3TtrN2pmnr2nZFTI/+jeTuQQtrAAAqJIAxfl65To8++Fe1bttSd/9unDp2aiv/AP8yTQDljwAGAACcLT0tS0tn7NXMKbE6fjjF6Q1q0ChAI0e3Vp8RTeTlTQdMAADKNYDp0X7whV/czU0/b55XmnnBhQhgAACAI9nZOfp5wUHbOWn/zninN6pWHR+7jWnQNS1sFyUAAFAOAUz3doNKFcCs2TL/gt8H1yKAAQAA52O+Jdy8+qgt2Ltt3TGnY339PTXo6ua6fFQr1annx80FAMCVAczPq9arNC65tGup3gfXIYABAAAXYtfWk3ZFzLolcXL2naJpYd17WITdnhTWJIibDACAq2rAoGoigAEAAKVxeF+ioqfEavmsfbZdtSNublK3fuGKGtNaLdqHcLMBACju70sCmOqPAAYAAJTFqeOpmvPVTi34fpfSUrKcjm3TtZ7tnNSxZ6jdjg4AAPIQwNQABDAAAMAVUpIytOD73Zo9bYcSTjlvYR3RMlgjx7RWz8GN5OHhzhcAAFDjlTqAOXnilI4cPqbU1FSne4N79OxS42/yxUYAAwAAXCkzI1vLZu5T9OQYHT2Y7HRsvTB/Db85Uv2imsrH15MvBACgxrrgAGbKF9/oi4lfaf++g+e/OG2oKwUCGAAAUB5ysnO1dkmcZny5XXu2n3Y6NjDYW5ff0FKDr2upwFrefEEAADXOBQUwTz/2N0X/NNe2KSyptVsXlHZucBECGAAAUJ7M94amdbXpnLT556NOx/r4emjAVc01/KZWCmngzxcGAFBjlDiAmR29QE/86f8UEBigZ//2uPoN7KU+3Uaobr0QzVw4TcePndDyJav10Qf/U1JSsl558zlaUFcSBDAAAKCi7I09rehJMVq94IByHTdOkoeHmy4bGmHrxDRqXosvEACg2itxAPOH+57QssWr9MiTD+jWcaPsse7tBtkAZvbirwvGmfDlrt88qLiDhzXpm/+qUeOG5Td7lAgBDAAAqGhHDyZp5pRYLY3eq8wMJ0mMpC59whQ1po0iO9WtsPkBAFDRSlySftuWGPt85TXDixw/O78JDAzQ408/qOSkZE347xeumicAAACqkAaNAjX2T930yqSRuvI3beQf6OVw7IZlh/Xygwv10h8Wav2yQ8rJKVWPCAAAqkcAE386UX5+vgqu/esSUQ9PD6WlphXb+cjH10crlv7supkCAACgyqlVx1c33NVBr0weqZt/10l16vk6HLtj0wn96+nlevauuXblTFam85UzAABUywAmqFagDVzOXu2Smpqm5KSUc8Z7uLvbujAAAACAn7+XRtwcqZe/GKk7Hu+uhk2CHN6UuD0J+vgfa/TkbTM1a2qs0lKzuIEAgJoTwNRvUNcGLWlp6QXHmjVvYp/Xrf2lyNjdu/YqJSVVXt6Ol5oCAACg5vH0cle/qGZ6/pPL9fsXeqllhxCHY08dS9Xkf2/UY6Nn6NuPtyjx9K/fhwIAUG0DmNZtWuW1GDxTC8bo1fcSe+ydN/6jo0eO22MnT5zSC399VW5uburQsW35zBoAAABVmru7m7r1C9dT/xqoJ94aoE6XhTocm5KYqR8+26bHx0Tr87fW69ih5AqdKwAAFdoFKfqnufrzoy9o7B2j9afHf2ePnTp1WtePHKvExCT7l2jtOrV16uTpgsK87/7nFfXq29MlE0Xp0QUJAABUBQd2xWvGpBitmnvAaSFe831nz0GNFHVLa0W0ql2hcwQAoNwDGLP1aNaM+aoVHKRBQ/oWHP9l/WY99cjzOhR3pOCYv7+fHn7yAd1w01WlnhhchwAGAABUJccPp9jaL4un71FGWrbTsR0vDbVBTJsu9ewKbAAAqnwA40x2drYNYg4fOmqL9Xbt3skW6EXlQAADAACqoqT4dM39dpfmfb1TSQkZTsc2b1vHBjFmW5NZIQMAQLUMYFC5EcAAAICqLD01S0tm7NXMKbE6ceTc7puFhUYEauToSPUe1kRe3kU7eAIAcDERwNQABDAAAKA6yMrK0er5BxQ9KUYHdiU4HRtc11fDR7XSwKubyy+AzpwAgCoawCyct1TLlqzSoYNHlJ6erg8mvFFwLjUlVdu37ZTZgtulW0dXzxelQAADAACqE/Pt68aVRzTjyxjF/JLXidMRE74Mvra5Lr+xlYJDfCtsjgAAlCmAOXrkmB75wzPasmm7/bV5qyl2tmbL/IIxmZlZumb4LbYt9YQv31WnLu1LenlIOnbsmF544QX98MMPiouLU506ddStWze99tprat++dPeSAAYAAFRXO7ec1Iwvt2vdkkNOx3l6uavviCYaMaa1QhsFVtj8AADI56kSSk1N0+/uelS7d+5Vg9B6Gnx5f33/9QzbHakwLy9PXXvDFfrw359q/pwlBDAXYOfOnRo4cKA8PT11++23q0mTJjp58qR+/vlnG8wAAACgqJbtQ/T7F3orbm+CoifFasWcfcrOOvfni1mZOVr44x4t+mmPug9opCtuaa2mrWsrduMJHY1LVoPwAEV2qksnJQDAxQ9gpn75nQ1f2rRrpY8+e1v+Af6aM3PBOQGMMWhoXxvArF+30dXzrdZuu+021a9fXwsXLlStWrUu9nQAAACqjPCmtXTnEz103Z3tNHvaTi38Ybct3ns2s/Z7zcKD9uHj51lkTESrYBvm1Avzr+DZAwBqAveSDjRhi9lu9PDj99vwxZlWrVvIw8Nd+/YccMUca4T58+dr5cqVev755234YmrrmAcAAABKLqS+v0b/rpP+OXmkbrirvWrV8XE49uyAZv+OeL3zzHK7zR4AgIsWwOzetU/uHu7qdknn8441W2gCAwOVEJ9Y1vnVGNHR0fY5ODhYAwYMkJ+fn3x9fW39l5kzZ17s6QEAAFQpAUHeuvI3bfWPL0fqN3/sqvrhASV6nwlhtqxl6zcA4CIGMBnpGTYQMOFKSaRnZMjbu+Jb/qWkpNgw48UXX9RNN92kVq1ayd3d3a7eMXVVSio5OVl/+9vf1LVrVwUFBdmHeW0K5JpzrhYTE2OfR40aZUOYSZMm6b333tPx48d1xRVXaM6cOS7/TAAAgOrO28dDg69tob9PHKb7nrlUTSKDz/uef/91hX783zYlJ2ZUyBwBADVDiWvAhNStbTsbJSelKCDQ+Rakvbv3Ky01Tc2aR6iirVq1SlFRUWW6xv79+zV48GBbFNcwq1HMUtQNGzbYx6effmq3DEVEFP39nT59Wm+++WaJPsOsEHr00UcLfp2YmLdaqG3btvr+++8LCsANHTrUdj96+umndfnll5fp9wUAAFBTme3xlw5prJ6DG2nW1FhNeW+Tw7FpKVn65qMtmv5FjAZe1UzDbmpltzYBAFAhAUznrh00Z+ZCzZ+7WFddO8Lp2C8/+8oGCN16nH+7UnkwrZvNahWzfcc8XnnlFW3cWLKCwNnZ2brmmmts+BIaGqpPPvlEI0eOtOdmzJihO+64w54zY9asWWNX1xQOYJ577rkSfY65duEAxoQ8xrhx44pU34+MjFSfPn20ePFiu/ImIKBky2cBAABwLvN91vCbIrV89n673cgZUyNm1tQdmvvNTvW6vIlGjom0xX4BACjXLUjXj7rSrgJ5/1+f6PChow7HfTFxmqZ8+a19fcPNV6ui9e/f37Zunjdvnl577TX95je/uaCOQhMnTtT69evt66lTp9rVNOYvavMwW4GmTZtmz5kxZmxhzZo1s/eoJI/Dhw8XeW+jRo3sc1hY2DlzatiwoX1PfLzzbxIAAABwfub7OtPtyHQ9KgnT1npp9F49c/sc/esvy7Vj8wluMwCg/FbA9OrbU1FXXa4ZP87Rb266TyOuGKK0tLx9sVO++EZxBw9r8cIV2rNrnz02asw16tCprSqah4dHmd4/YcIE+zxw4EAb5pzNHDMPsyLFbEW6kLoyzlx66aX64IMPdODAuZ2jzDFTeyckJMQlnwUAAFDTmVbTz344RLEbT+hoXLIahAeoQaMAzf16p+Z/t1upyZnFvm/90kP2Edm5rqLGtFbnXmFFVi8DAOCIW+4F9NnLzMjU3597Xd9/PaPYv2jyL2VWy/z5/x4ucxjiKv369dPSpUs1fvz4goClOKmpqbY2S05Ojv7xj3/o8ccfL3acOffkk0/a35+p3ZK/fagsTpw4YVfQtGnTRitWrCgodmxqznTv3l1DhgzR7NmzS3Xt3r172+fly5eXeZ4AAADVnQlfFv6wW7Om7VD8iTSnYxs1r6WRY1rb+jKeniVeXA4AqIFKvALG8PL20v/9/QndcNNV+nrKD1q3ZqOOHTuhnOxs1a0Xom49OtltR90v6aKqaOvWrTZ8MTp27OhwXP45Uy9m27Ztts5MWdWtW9cGOw888IBdfTNmzBi7lertt9+2Ac8///nPMn8GAAAAzs8vwMuGKkNvaKkVs/crenKMDu9PKnbswd0J+uiln/XNx5s1fFSkBlzZTD5+F/QtNgCghijV3w6mIK95VDcHDx4seN24cWOH4wqfi4uLc0kAY9x///02iHn11Vft6htvb28bxvz9739Xp06dSrzS5WybNm1Su3btCjotAQAAoGS6Dqirzv16adPKY5r71R7tjSm+Jt/JI6ma9O4v+n7iVvW/MkL9r4pQYC1vbjMA1EBBQUHFHieeL6RwQOHv77jVYOFzCQkJcqXRo0fbBwAAACoHd3c3de7dQJ161dfOzadsELN1TfGFeFMSMzVz0i7N+3qPeg1rpEHXNVXd0LJvVwcAVH0EMNWIoxov+StjHKVwAAAAKJluvWupW++m2r8zXtGTYrRq3gHl5JxbUjEzI0eLf9qvpTMOqOfgxoq6pbUiWpas6xIAoHoqVQCzYd0mxWzfqYT4RGVlZTkde98DrukSVBEKBxQpKSkOxxU+dyEtrgEAAFA9mDDlnqd76vq72mvWlB1aPH2PMtKzzxlnwpmVc/fbR8dLQ20Q06ZLPTonAUANdEEBzPIlq/Xic6/bltMlVZUCmEaNGhWpB9O5c+dixxVuFR0eHl4hcwMAAEDlUy8sQLc+2EVXj2+red/s1Nxvdik5IaPYsZtWHbGP5m3r6IpbW6tr33C7vQkAUDOUOIBZs3qDHvzdk8rOykv2GzcJV716IZWm1bQrmEK17u7uthPSxo0bFRUV5bCorWF+723btq3gWQIAAKCyCQr20bW3t9fI0a216Kc9mjUt1hbmLc7ubaf07l9XKiwi0I7vNSxCXt7V53tqAEAZA5gP351gw5e27Vvr5df/qiZNHXcJqqpMu+d+/fpp0aJFmj59uu1EVBxzzujfv799DwAAAGCYFtTDRrXS4Ota2Powpk6MaVVdHNPaesKra/XNJ1s0fFQrDby6uW2BDQContxLOnDzxm12r+qL//xLtQxf8t1+e96WqYULF2rp0qXnnDfHTEBjjB8/vsLnBwAAgMrP09NdfYY30XMfDdWDL/ZWZOe6DsfGn0jT1A826bHR0frqP5sUfzKtQucKAKhkAYybu7v8A/zVrEUTVXanTp3S8ePHCx75hYLT09OLHI+Pjz/nvePGjVPXrl3t61GjRik6Olq5ubn2YV6bY4YZM3bs2Ar+nQEAAKAqMT/A7NK7oZ58a6CeemeguvZt6HBsanKmpn8Ro8fHRGvia2t15EBShc4VAFC+3HJNslACt426VztidmvJmhny8qrc3aubNWumvXv3nnfcwIEDtWDBgnOO79+/X4MHD9bOnTvtr/O3GaWm5u3jbdmypebPn6+IiAhVBfltqB21qQYAAEDFiduboOhJsVoxZ5+ysxx/K+7mJnUf0EhX3NJazdrU4UsEADVlBcy1N0QpMzNT82bnbb+pzkywsmHDBj3//PPq0qWLLbZrHqYr0nPPPWfPVZXwBQAAAJVLeNNauvOJHnr5ixEafnOkrRtTHPNj0jULD+qF387XPx9erE2rj9hV2QCAar4CxnQG+sO9T9haMG++96K6du9U/rODS7ACBgAAoPJKTszQgu92ac7XO5VwKt3p2CaRwRo5prUuGdhIHh4l/lkqAKAqBTBGZkamXnv5XU2d9J0NYDp2bif/AOddgO57IK+oLS4eAhgAAIDKLyM9W8tm7lX05Fgdi0t2OrZ+eICG39RK/aKayduHFtYAUO0CmBVLV+vF59/QgX1xtqBYSazZMr8s84MLEMAAAABUHTnZuVqz6KBmfBmjvbGnnY4Nqu2joTe01JDrWiggyLvC5ggAKMcAZsO6Tbp3/J9sRyHzlogmjVS3Xh1bG8WZ/0x8qxTTgisRwAAAAFQ95nvurWuPafoX2+2zMz6+Hhp4dXMNu6mVQur7V9gcAQDlEMA8cM9jWr5ktdq2b61/vPGsDWBQNRDAAAAAVG17tp+yK2LWLD6o3BzH4zw83dTr8giNHN1a4c1qVeQUAQCuCmAG975GCfGJ+urHT9WsRZOSvAWVBAEMAABA9XDkYJJmTo7V0ui9ysp0ksRI6tqnoaJuaa1WHetW2PwAAC4IYPpfcoV9Xvzz9JIMRyVCAAMAAFC9xJ9M05yvdmj+d7uVmpzpdGxkp7o2iOl0WZjc3UtWxxEA4HqeJR0Y0bSxdsbuVmZmlry8Svw2AAAAAC4WHOKrG+/pqCtubaOFP+7W7Gk7dPp4WrFjYzeeUOzG5XZLUtSYSF06NEKenrSwBoCKVuI/ea++boQyMzM1b/ai8p0RAAAAgBLxC/Cy9V5e/nyEbn+su8IiAh2OjduToI9eXqOnbptpA5u01CzuMgBUxi1IOTk5+sO9T2jzxm16870X1bV7p/KfHVyCLUgAAAA1Q05OrtYvO2QL9u7actLpWP8gLw29rqVtY23aWQMAKkkA88G7E5Sdna3Jn3+jpMRkdeneUZ06t5d/gJ/T9933wO2umitKiQAGAACgZjHf4sf8ckIzvtyujSuPOB3r7eOhflFNNfzmSNVvGFBhcwSAmqbEAUz3doPk5pZXtCv/Lfm/dmbNlvllnSPKiAAGAACg5jqwK14zJsVo1dwDdoWMI6ZAb89BjWzB3ohWtSt0jgBQE5Q4gLl77EMqQd5yjv9MfKsU04IrEcAAAADg+OEUzZoaq8XT9ygjLdvpDenYs4GibmmjNl3rleiHrgAAFwYwqLoIYAAAAJAvMT5d877dpblf71RyQobTG9O8bR27IqZb33C5exDEAEBZEMDUAAQwAAAAOFt6apZdDTNzaqxOHkl1eoNCIwI1cnSkeg9rIi9vD24mAJQCAUwNQAADAAAAR7KycrR6/gFFT4rRgV0JTm9UcF1fDbuxlQZe3Vz+gV7cVAC4AAQwNQABDAAAAM7HVCYwHZNMC+uYX447HesX4KlB17TQ5Te2VO26zruiAgDyEMDUAAQwAAAAuBA7t5y0LazXLTnkdJynl7v6DG+ikWNaK7RxIDcZAJwggKkBCGAAAABQGof2JdqtSctn71N2luPeHaZRUvf+4bZgb/O2IdxsACgGAUwNQAADAACAsjh1LFWzv9qhBd/vtsV7nWnbrb6ixrRWh54NaGENAIUQwNQABDAAAABwhZSkDM3/brfmfLVDCafSnY6NaBVsV8RcMrCRPDzc+QIAqPEIYGoAAhgAAAC4UkZ6tpbN3KuZk2N1NC7Z6dh6Df014uZI9YtqJm8fWlgDqLkIYGoAAhgAAACUh5zsXK1ZdNB2Ttobe9rp2KDaPhp6Q0sNvraFAmt58wUBUOMQwNQABDAAAAAo7xbWW9ces0HMljVHnY718fXQgKuaa/hNrRTSwJ8vDIAagwCmBiCAAQAAQEXZs/2U7Zz086KDys1xPM7Dw02XXR5hC/aGN6vFFwhAtUcAUwMQwAAAAKCiHTmYpFlTYrVkxl5lZTpJYiR16ROmqDFtFNmpboXNDwAqGgFMDUAAAwAAgIsl/mSa5n69U/O/26WUpEynY1t1rGs7J3XuFSZ3d7cKmyMAVAQCmBqAAAYAAAAXW2pKphb9uEezp8bq1PE0p2PNlqSRoyN12dAIeXrRwhpA9UAAUwMQwAAAAKCyMNuRVszZp+hJsTq0L9Hp2Dr1/WyxXlO019fPs8LmCADlgQCmBiCAAQAAQGWTk5OrDcsOacakGO3cfNLpWP8gLw25roUuv6GVbWcNAFURAUwNQAADAAD+v737gI6qWts4/qQREgghdAJICQQQkCKIIIhRkCYWioJeAbuf197vVbGgqCiK2FGvqFdAAUXQEKX3Jk1QIYFQAkiHBEgIad/aG2dugMwQApNkMv/fWrPm5Jw9M3vOGTTzZO/9AsW5hHXC2v2KHbtBa5fudts2qJS/Ovaoo6tvbKDK1csUWh8B4HwggPEBBDAAAADwBtsTk+2ImGUzt9sRMq6YBXrbXFFD3QZE64L65Qu1jwBQUAQwPoAABgAAAN5k365U/TIhQfNjt+j4sSy3bZu2qaLuAxqqYYtK8vOjchKA4osAxgcQwAAAAMAbHUlO18zJiZr13SYdSTnutm3dRhHq1j9arTpEyj+AIAZA8UMA4wMIYAAAAODN0tMytWDaVv38bYL2705127ZqzbLqelMDtb/6AgWVCii0PgLAmRDA+AACGAAAAJQEmZnZ+nX2drtOzPbEFLdtwysEq3Pf+rqiVz2Flg0qtD4CgCsEMD6AAAYAAAAlrXLSumW7NW1cvDas2ee2bUiZQHXqVU9d+kapfMWQQusjAJyKAMYHEMAAAACgpEr844AdEbNqwU7luC6cpMAgf7W7+gJ1u6mBqtUKK8wuAoBFAOMDCGAAAABQ0u3adlhx38Rr0S/blJXpOokxhZJadohU9wHRqte4QqH2EYBvI4DxAQQwAAAA8BUH96VpxsSNmjN1s46lZrpta0pXmyCmaZuqlLAG4HEEMD6AAAYAAAC+JvXIcc2ZslnTJ25UysF0t21rRYXbIKb1FTUUEOBfaH0E4FsIYHwAAQwAAAB8VcbxLC2MO1HCes+Oo27bVqoeqq79Guiy7rUVXDqw0PoIwDcQwPgAAhgAAAD4uuysHK2Yv8NWTtoaf8ht27LhpdS5d5Riro9S2XKlCq2PAEo2AhgfQAADAAAA/K+E9Z8r99rKSX/8usftaQkuHaDLr6mrq/vVV4UqoZxCAOeEAMYHEMAAAAAAp9saf1DTxifo17nblZPt+gwFBPip7VW11K1/tGrULcepBFAgBDA+gAAGAAAAcG3PjiN2jRizVkzGcTdJjKTm7arZBXsbNKvEKQVwVghgfAABDAAAAHBmKQePacZ3mzR7cqJSj2S4bVu/SQUbxFzUrrr8/f04vQDOiADGBxDAAAAAAPmXlpqheT9u0fQJCTq475jbtpG1w9S1f7QuvaqWAoMoYQ3ANQKYYmT//v16/fXX9cMPPygpKUnh4eFq0aKFnnzyScXExBT4eQlgAAAAgLOXmZGtJTOTFDc+Xn9tPey2bUTlEHXpW1+XX1NHIaFBnG4ApyGAKSaOHTumli1bauvWrbr77rvVtGlT7dmzR59++qm2bNmiKVOm6JprrinQcxPAAAAAAAWXnZ2j3xb/ZUtYb/z9gNu2oWFBirmuni1jXS6iNKcdgBMBTDHx/fffq3fv3nrnnXf04IMPOvebkTC1a9fWtddeq8mTJxfouQlgAAAAgPMjYe0+xY6N129LdrltF1TKXx2611HXGxuocmQZTj8ABXIOiofk5GR7X7169ZP2V6lSRYGBgQoNDS2ingEAAABwMNWPHnq1krZvTlbcuAQtm5WkrKyc006QqaY0+4dEzZmaqDZX1LQlrGs3KM+JBHwYI2CKic2bN6tRo0Z2tMuoUaPUrFkzOwVp2LBh+vnnnzVr1iy1bt26QM/NCBgAAADAM/bvTtUvExI076ctOn4sy23bJq2r2MpJjVpWlp8flZMAX1PiApjU1FTNmzdPK1eu1KpVq+wtMTFR5m0OGjRIY8aMydfzHD16VG+//bYmTpyoTZs22X1RUVHq06ePHn30UZUpU8Yj05AeeOAB7dixw7nPBDJmUd7mzZsX+HkJYAAAAADPOpKcrlmTEzXz+006knzcbds6Dcur+4CGatUhUv4BBDGAryhxAcycOXNcVgzKbwBj1l0xz+EIXkJCQmyAYxbKdQQxs2fPVq1atU563KFDhzRy5Mh89bNs2bJ6/PHHT9pngqOhQ4fq4osv1qWXXqrdu3drxIgROnz4sGbOnKkLL7xQBUEAAwAAABSO9GOZWjBtq375NkH7dqW6bVu1Zlm7Rkz7rhcoqFQAlwgo4UpkAGMWszXlm01VIXMbPny41q5dm68AJisry071Wb16tapWrarPP/9c3bp1s8emTZum2267zU4NMs+/YsUK+fv7Ox9rqhXVrVs3X/00z71r1/8W7lq2bJkuu+wyvf/++7YKkoN5rYYNG9pQZsaMGQU4IwQwAAAAQGHLysrW8tk7bOWk7Ykn1nt0JbxCsDr3qa8rrq2n0LKUsAZKqhIXwJgAJSDg5PS4Q4cOWrhwYb4CGBO43H777c4RKR07djzp+Pz583X55Zc72w4ePPi89Nv07csvv9T+/ftVoUKFk4716tVL06dPt9Orcgc++cUIGAAAAKBomK9b65bvtkHMhtX73LYtHRqoK3rVVee+9RVRKaTQ+gigcJz9t/li7tTw5Ww5AppOnTqdFr4YZp9j/xdffKHzxTEaxgRIp8rMzFRGRsZ5ey0AAAAAhcMsttvskmp68u3L9cz7V6hVx0i5Wn/3WGqm4r5J0NM3/6wxb6zQrm2HuUxACVLiAphzkZaWpgULFtjtHj16uGzXs2dP52gY85jzwbG+y6mhjpnWZF6nVatWBRr9AgAAAKB4qHdhBf3zpUv18pgu6tizjgKD8v79PjMjW/Njt+rZwdP1/pAlSvzjQKH3FcD5F+iB5/Raf/75p7Kzs+1206ZNXbZzHDOjVdavX2/XmTlXDz30kA1fnnrqKa1bt85OGzKjYj788EMb8pjFeQEAAAB4v2oXhGnw46103eDGmjFpk+ZMSbSjX05lFotYOX+nvTVsUUnd+0er6SVVKWENeCkCmFxyl3+uWbOmy5OW+9jOnTvPSwBTp04drVmzxgYtZiHh8ePH2+pLbdu21b/+9S87JQoAAABAyWHWeel3T1P1vCVac6Zs1vSJG5VyMD3Ptmb9GHOrFRWubv2j1SamhgICGCEPeBMCmFxMuWeH0NBQlyct97GUlJTzdjFMWevRo0cX+PGOxXZPZUbUNG7c+KT3BwAAAKD46NgrUpd2rarls/7SrO+3aN9feS91kLQpWZ+8slyTPlmrmOtrq22XGioVTAlroDgJCwvLcz8BDAAAAAAUA0GlAtS+W01d2qWGfluyRzMnbVHSxrz/4HtgzzFNGr1BceMT1fGaWurYo5ZCw4KU+Mch7duVpkrVQlTvwvJMVwKKEQIYFymVKfnsSu5j5cqVU3GxePFityNjXKVwAAAAAIqXjt3KqUPXKK1ftdeWsP791z15tjuakqG4sYk2rAkuHagjycedx2rVD9f9Q9upUjXXo/sBFB4mDeZSo0aNPNeDOdX27dud25GRkZ66NgAAAAB8vIR141ZV9OgbHTRk9JW65Mqa8nPxDS4jPfuk8MVI2pis955brByzmi+AIkcAk4tZJ8VR6nnt2rUuT5pZU8UICAhQo0aNPH2NAAAAAPi42g3K657nLtGrX3VVzHX1FFQqf1/lTAiTsHa/x/sH4MwIYHIxVYc6dOhgt2NjY12eNMexjh072scAAAAAQGGoHFlG/3i4hYaP76Zrbm1o1305kzFvrNTaZbsYCQMUMQKYUwwePNjez507VwsXLjzthJl98+bNs9uDBg0qjGsEAAAAACcpF1FaN9zexAYxV15fz+3Z2b39iEY+tUgv3jVLS2clKSsrm7MJFIESGcAcPHhQ+/btc94yMzPt/vT09JP2Jycnn/bYgQMHqkWLFna7b9++iouLs0mxuZlts88wbW699dZCfmcAAAAA8D8hoUG6+cHmqhUVfsbTYkpYjx66XM8OnK45UxKVcTyLUwkUIr+cErgiU506dbR169YztuvUqZPmzJlz2v6kpCTFxMRo06ZN9mfHNKO0tDR7HxUVpdmzZ6tWrVryBo4qSK6qJAEAAADwbvt2pdoFd82aL/lVLiJYXfrVV8y19RRS5sxTmQCcGwKYPAIY4+jRo3rrrbc0adIkZxBTr1499enTR4899pjKlCkjb0EAAwAAAJR85m/rZsHdPTuPqnL1UGVn5yhuXLzWLc+7hLWDCV9irqurzn3qK7xC6ULrL+BrSmQAg5MRwAAAAAC+a2vCIU0bu0G/ztuhHDfLvwQG+atD99rq1j9alat7zx+cAW9BAOMDCGAAAAAAmMV4f/4mXgt/3qbMDNdJjL+/n9rE1FT3AdH5WlsGQP4QwPgAAhgAAAAADof2p2n6hI2aPWWz0tNOFCxxpVnbqup5S0M1aFaJEwicIwIYH0AAAwAAAOBURw8f15wfEjV90iYdPpTu9gTVb1pRPW6O1kWXVpOfnx8nEygAAhgfQAADAAAAwJXj6VlaELtFcd8kaP/uVLcnqkbdcuoxIFptrqypgAB/TipwFghgfAABDAAAAIAzyczM1vLZ2xU7Nl47t6S4bVupWqi63thAHXrUUangAE4ukA8EMD6AAAYAAABAfpny1WuX7lLs1xu08fcDbtuGlQ9Wlz5Rirm+nkLLluIkA24QwPgAAhgAAAAABRH/2z7Fjt2gtUt3u21XOjRQV/Sqqy796qt8xRBONpAHAhgfQAADAAAA4FwkbTykaeMTtGx2knJcV7BWYJC/Lut6gbr2j1bVGmU56UAuBDA+gAAGAAAAwPmwd+dRxX0TrwXTtiozw3US4+cvtb68hrrf3FC1G5Tn5AMEML6BAAYAAADA+ZR84JhmTNqo2T8kKu1optu2TdtUsUFMw+aVKGENn8YIGB9AAAMAAADAE1KPZGjO1ERNn7BRKQfT3bat1zjCBjEt2leXv78fFwQ+hwDGBxDAAAAAAPCkjONZWhi3VXHfJNhpSu5Urx2m7v2j1bZzLQUG+nNh4DMIYHwAAQwAAACAwpCVla1f5+7QtLHxStqU7LZthSoh6npjA3XsUUfBIYFcIJR4BDA+gAAGAAAAQGHKycnRuuW7Fft1vC1l7U7ZcqV0Ve8oXXlDlN0GSioCGB9AAAMAAACgqGxct1/TxsVr9aK/3LYLLh2gTr3qqku/+qpQObTQ+gcUFgIYH0AAAwAAAKCo7dicYoOYpTOTlJ2d47JdQKCf2nW5wK4TU+2CsELtI+BJBDA+gAAGAAAAQHGxb1eqfvk2QfNjt+h4epbLdn5+UquOkepxc0PVaRhRqH0EPIEAxgcQwAAAAAAobg4fSteM7zZq1veJtpy1O41bVbZBjLn3M8kM4IUIYHwAAQwAAACA4iotNUPzftyiXyYk6NC+Y27b1mlYXt0HNFSrDpHyDyCIgXchgPEBBDAAAAAAiruM41laPH2b4sYnaPf2I27bVqtVVt36R9u1YgKD/Autj8C5IIDxAQQwAAAAALxFdlaOVi7YqdivN2hrwiG3bSMqlVaXfg1s9aTSIYGF1kegIAhgfAABDAAAAABvk5OToz9W7FHs2HitX7XXbdvQsCBddUOUruodpbDw4ELrI3A2CGB8AAEMAAAAAG+W+McBTRsfr5Xzd7ptVyo4QB171lHXGxuoYtXQQusfkB8EMD6AAAYAAABASbBza4pdI2bJ9G3Kyspx2S4gwE9tO9dS9/7RiqxTrlD7CLhCAOMDCGAAAAAAlCQH9qTqlwkbNffHzTp+LMtt2xaXVbclrKMurFBo/QPyQgDjAwhgAAAAAJRER5LTNXNyomZ+t0lHU467bduwRSX1GNBQTdpUkZ8fJaxR+AhgfAABDAAAAICS7Fhapub/tEU/f5ugg3vT3LatVT/cBjGtO9WQfwBBDAoPAYwPIIABAAAA4AsyM7K1ZGaS4sbF669th922rRJZRt36R6t91wsUVCqg0PoI30UA4wMIYAAAAAD4kuzsHK1euNOWsN68/qDbtuEVgnV1vwbq1KuuQsoEFVof4XsIYHwAAQwAAAAAX5STk6MNq/fpp7Eb9Meve9y2NeHLldfXU+c+USoXUbrQ+gjfQQDjAwhgAAAAAPi6LRsOatq4eK2Yt0M5ritYK6iUvzr2qKOuNzVQpWplCrOLKOEIYHwAAQwAAAAAnLAr6bDivknQop+3KivTdRLj7++nS66sqe4DolWzXjinD+eMAMYHEMAAAAAAwMlMtaTpkzZqzpTNSk/LdHt6mrerpu4DGqpBs4qcRhQYAYwPIIABAAAAgLwdPXxcsyYnasakjTqSfNztaTIBTI+bG6pZ26ry86OENc4OAYwPIIABAAAAAPfSj2VqwbStivsmXgd2p7ltW7NeOTsipk1MDQUE+HNqkS8EMD6AAAYAAAAA8iczM1vLZm23C/bu3JLitm2l6qHqdlO0LutWW6WCAzjFcIsAxgcQwAAAAADA2cnOztFvS3YpduwGbfr9gNu25SKC1blPfcVcV1ehZUtxqpEnAhgfQAADAAAAAAWTk5Oj+N/2a9q4DVq7dLfbtiFlAnXFtfXUpW99hVcozSnHSQhgfAABDAAAAACcu6SNh+zUpGVztisn23W7wCB/Oy2p200NVKVGWU49LAIYH0AAAwAAAADnz54dR/Tztwl20d7MDNdJjJ+/1OaKmuo+IFoX1C/PJfBxBDA+gAAGAAAAAM6/Q/vTNGPSJs3+IVHHUjPdtm16SVX1GBCt6OaVKGHtowhgfAABDAAAAAB4TuqR45ozZbOmT9yolIPpbttGNalgg5iL2lWXv78fl8WHEMD4AAIYAAAAAPC84+lZWhi3VXHfxGvfX6lu20bWDrNTky65qpYCA/25PD6AAMYHEMAAAAAAQOHJysrWr3N2KHZsvLYnJrttW6FqiLrdGK0OPWoruHRgofURhY8AxgcQwAAAAABA0ZSwNqWrY8dtUMJv+922LRteSp17R+nKG6JUJqxUofURhYcAxgcQwAAAAABA0UpYu1/Txm3QmsW73LYLDglUp151dXXf+oqoHFJo/YPnEcD4AAIYAAAAACgezJSkaePjtWzmdmVn57hsFxjkr3ZXX6BuNzVQtVphhdpHeAYr/XjQkSNH9OKLL6pXr16KjIy0pcb69u3rsn12drZGjBih6OhoBQcHq3bt2nrmmWd07NgxT3YTAAAAAFBIatYL113/bqNXv75aV15fT0Gl8v5anpmRrfk/bdGzg6brgxeWasuGg1wjL8cIGA/asmWL6tatq+rVq6t169aaOnWq+vTpo4kTJ+bZ/qGHHtKoUaN08803KyYmRqtWrdJHH31kA5zJkycXuB+MgAEAAACA4inl4DHN+G6TZn2fqLSjGW7bXti6ii1h3ahlZfsHfngXllj2IBO8bN++XTVq1LA/u/sH8vvvv+vdd9/VXXfdpdGjRzv3V6tWTUOGDNG0adPUvXt3T3YXAAAAAFDIykWUVu87mqh7/2jNnbpZv0xIUPKB9Dzb/vHrHnur2yhCPW6OVovLIuXvTxDjLZiC5EFmGpEjfDmTcePG2RWyH3nkkZP2P/DAAwoMDNTYsWM91EsAAAAAQFELKROkbv2j9fq4bhr4WEtVqVHGZdvN6w/q/SFL9dzg6VowbYudroTijwCmmFi+fLnCw8PVuHHjk/aXL1/e7vv111+LrG8AAAAAgMIRVCpAna6pq1e+uFr3DrlEFzQId9l2V9IRfT58pZ6+5WdNn7hRx9IyuUzFmFcEMKmpqYqLi9OwYcPUr18/1a9fX/7+/nZKz+DBg/P9PEePHtXLL7+sFi1aKCwszN7M9tChQ+2xorRz506Xo2Vq1qypHTt2FHqfAAAAAABFwz/AT21iamrIx1fqkeGX2XVfXDm4N03j3/9NT/aP0w9j/tCR5LynMKFoecUaMMuWLTvn9U+SkpLswrabNm2yP4eEhNgpP2vWrLG3L774QrNnz1atWrVOetyhQ4c0cuTIfL1G2bJl9fjjjxc4ZDIjYPJSunRpexwAAAAA4FvMwIOmbara26Y/DmjauA1ateCvPNseTTmuKV+sV9w3CXYUzdX96qtCldBC7zO8OIAxIiIi7GiVli1b2tvw4cO1du3afD02KytL1157rQ1fqlatqs8//1zdunWzx8zitrfddps9ZtqsWLHCjq7JHcCYUtL5YZ67oAFMaGio0tPzTilNGWpzHAAAAADgu6IurKD7h7bTzq0pihsfryXTk5SVlXNau+PHsuyUpFnfb9KlXWrZtWUia5crkj7DywKYjh076sCBAyftM+WZ8+vLL7/U6tWr7faECRPs8zn06NHDloW+/PLLbRvTNve0pjp16tiRMp4WGRmppUuX5nksdyUlAAAAAIBvM2HK7U+11nWDL7RVk+b9tMWGLqcy4czCuG1a9PM2tewQqe4DolWvcYUi6TO8ZA2YgICAc3r8mDFj7H2nTp1OCl8czD7HfjMVqSi0adNGycnJ+vPPP0/ab0bgmH0XX3xxkfQLAAAAAFA8VawaqgH3N9fw8d107aBGCg0LyrOdGVOwcv5OvXLfHL3x6HytW767UAYawAsDmHORlpamBQsWOEe7uNKzZ097P3/+fPuYwnbTTTfZuX2nrjfz7rvvKjMzUzfffHOh9wkAAAAAUPyFhQfb0TBvfNNdN93XTBGVSrtsu37VXr395EINvWe2ls/Zruw8pjDBh6cgnQszeiQ7+0RN9KZNm7ps5zhm1otZv369XWfmfHjvvffsKBYH89ymEpNhpj2Zm9GsWTPdd999ev/9921FJrNg8KpVq/Thhx/qmmuucRseAQAAAABQOiRQV/droJjr6mnJjCRNGx+v3UlH8jwxWxMO6aMXl6lKjTJ2jZj2V19gS2DDc0p8AJO7fLMp5+xK7mOmJPT5CmDefPNNbd261fnz77//rueee85uP//8884AxnjnnXdUu3ZtjR492q5VYxb1feqppzRkyJDz0hcAAAAAQMlngpSOPerosq61tWrhTsWO3aAtG/43MCC3PTuO6ssRq/TDmD9t1aROveoqJDTvqUw4NyU+gDl8+LBz210lodzHUlJSztvrb9my5azWunniiSfsrSDatWuX5/5169apcePGJ50LAAAAAEDJF92ynBq0aK2E3w5oxsQtil9zcoEbh+T9xzTho3X68av16tCzljr1ukBlw0sVen9LgrCwMN8MYAAAAAAA8GVmvdHo5hXtbVtCsmZO2qLfFu+xi/OeKu1opqZ/u1lzJm/VpV1q6Irra6ti1ZCi6HaJE+hLyVNqaqrLdrmPlSvnnfXRFy9e7HZkjKsUDgAAAADgG5q0ClOTVjW1a9thxX0Tr0W/bFNW5ulJTMbxbM3/KUkLp23XJVfVtCWsa9YNL5I+lxQlvgpSjRo18lwP5lTbt293bkdGRnq8XwAAAAAAFJVqF4Rp8BMX6/Wx3ezaL8Gl816ANzs7R0umJ+n522dq1DOLtHHd/kLva0lR4gMYs/aJv/+Jt7l27VqX7cw6KY51WBo1alRo/QMAAAAAoKhEVA7RTfddpOHfdNf1tzVW2XKu131Zs2iXXn1grl5/aJ7WLt2lnLzmMMF3A5iQkBB16NDBbsfGxrps5zjWsWNH+xgAAAAAAHyFCV56DWys4eO7acD9F6lCFdffi+N/26eRTy/Si3fN0tJZScrKyi7UvnqrEh/AGIMHD7b3c+fO1cKFC087bvbNmzfPbg8aNKjQ+wcAAAAAQHEQHBKozn3q69Wvu+qOpy9WZG3Xa4kmbUrW6KHL9czA6ZozJVEZx7MKta/exmsCmIMHD2rfvn3OW2Zmpt2fnp5+0v7k5OTTHjtw4EC1aNHCbvft21dxcXF2qJS5mW2zzzBtbr311kJ+ZwAAAAAAFC+Bgf5q37W2XvxPZ90/9FLVaxzhsu3enUf11dur9WT/OMWO26DUIxmF2ldv4ZfjJZO26tSpo61bt56xXadOnTRnzpzT9iclJSkmJkabNm2yPzumGaWlpdn7qKgozZ49W7Vq1VJJ46iC5KpKEgAAAAAA7pjoIH7NPsWOi9e6Zbvdtg0pE6iY6+rZkTThFUpzYr1tBMy5MsHKmjVr9NJLL6l58+Z2sV1zu+iii/Tiiy/aYyUxfAEAAAAA4Fz5+fmpYYvKeuT1yzRk9JVqE1NTfi4ShbSjmYodG29HxHz19io7QgZeNAIGBccIGAAAAADA+bZ7xxH9/E2CFsZtVWaG64V4TVBzyRU11X1AtGrVL++zF4I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APIwABgAAAAAAwMMIYAAAAAAAAORZ/w96En7FJ9NcvAAAAABJRU5ErkJggg==",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "5cfdfbcdb61015608f6039e361415fc5ddd1d8ee397fead20920260a22880704",
      "outputs": []
    },
    {
      "sourceHash": "0c617c97ea1c86f37d411caa0fafb25abcb0daf094551aa9a41ead5270207b44",
      "outputs": []
    },
    {
      "sourceHash": "659ea2b580a5f51fe493e280b4d7bba67fb45f8ec90743cfc0fa8a7121e94482",
      "outputs": []
    },
    {
      "sourceHash": "b2e97cf4519aa8042ca498eccfcbd9c54564af552333ac9f9daa149bbd7df321",
      "outputs": []
    },
    {
      "sourceHash": "57fc43a875e4f036b8c2cba3db11caba581debf21f3d98180888c2ee44a8ff6b",
      "outputs": []
    },
    {
      "sourceHash": "5623659b465e0088cddeb302a6d8664ff9e95377af6e6c595b0f478291aeaa7b",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Reference / compensated / unchanged-rate updates: 1.8833334 1.8833332 8.416667\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "a01ee0ae1a679c72ba8c163213343202008438b5de03fceab6dd6a8d047fba50",
      "outputs": []
    },
    {
      "sourceHash": "0218b37e4feffe974fc2472274627d4f2d834788494957ec95712654665a68de",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
