{ "cells": [ { "cell_type": "markdown", "id": "a26f3eed4fa4482f", "metadata": {}, "source": [ "# Pulse Analysis" ] }, { "cell_type": "markdown", "id": "a2dec3503aa04315", "metadata": {}, "source": [ "We are given a smooth pulse that is supposed to implement a CZ gate in the perfect Rydberg blockade regime. Here, we analyze its performance." ] }, { "cell_type": "code", "execution_count": 1, "id": "cc6cb4ddf335a8a6", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T17:19:23.527757Z", "start_time": "2025-11-29T17:19:23.525962Z" } }, "outputs": [], "source": [ "# %pip install -q --progress-bar off rydopt # Uncomment for installation on Colab\n", "\n", "import rydopt as ro\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "4e7420a167b6f149", "metadata": {}, "source": [ "First, we create the target gate, by specifying the gate phases, the interaction between the atoms and the Rydberg-state decay rate." ] }, { "cell_type": "code", "execution_count": 2, "id": "6bcfcf4f245fd8d9", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T17:19:23.542452Z", "start_time": "2025-11-29T17:19:23.540261Z" } }, "outputs": [], "source": [ "gate = ro.gates.TwoQubitGate(phi=None, theta=np.pi, Vnn=float(\"inf\"), decay=0.0001)" ] }, { "cell_type": "markdown", "id": "7f8bd33031dfaaf5", "metadata": {}, "source": [ "The pulse ansatz we use consists of a constant detuning and a sweep of the laser phase. The Rabi frequency amplitude is constant and fixed." ] }, { "cell_type": "code", "execution_count": null, "id": "7cc55bb4acb810ba", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T17:19:23.550381Z", "start_time": "2025-11-29T17:19:23.548661Z" } }, "outputs": [], "source": [ "pulse_ansatz = ro.pulses.PulseAnsatz(\n", " detuning_ansatz=ro.pulses.Const(),\n", " phase_ansatz=ro.pulses.SinCrab(2),\n", " rabi_ansatz=ro.pulses.SoftBoxSeventhOrderSmoothstep(),\n", ")" ] }, { "cell_type": "markdown", "id": "63184322a43656", "metadata": {}, "source": [ "The pulse itself is described by six packed parameters. We store them in a `ro.pulses.PulseParams(...)` container so the structured form remains compatible with the current RydOpt APIs." ] }, { "cell_type": "code", "execution_count": null, "id": "c36708d4efbc2612", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T17:19:23.554806Z", "start_time": "2025-11-29T17:19:23.553210Z" } }, "outputs": [], "source": [ "pulse_params = ro.pulses.PulseParams(\n", " 10.551257303347738,\n", " [0.28121562],\n", " [0.42764051, 1.24775025],\n", " [1.0, 0.5],\n", ")" ] }, { "cell_type": "markdown", "id": "1d6111df3e7a40e8", "metadata": {}, "source": [ "We now analyze the performance of the gate pulse using (i) a JAX-based implementation and (ii) a QuTiP-based implementation (as a cross-check):" ] }, { "cell_type": "code", "execution_count": 5, "id": "1b0c9fc5f462820c", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T17:19:26.995761Z", "start_time": "2025-11-29T17:19:23.558318Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gate infidelity: jax: 2.9587e-04, qutip: 2.9587e-04\n", "Gate infidelity (no decay): jax: 3.1567e-08, qutip: 3.1567e-08\n", "Rydberg time: jax: 2.9589, qutip: 2.9586\n" ] } ], "source": [ "infidelity, infidelity_nodecay, ryd_time = ro.characterization.analyze_gate(\n", " gate, pulse_ansatz, pulse_params\n", ")\n", "infidelity_qutip, infidelity_nodecay_qutip, ryd_time_qutip = (\n", " ro.characterization.analyze_gate_qutip(gate, pulse_ansatz, pulse_params)\n", ")\n", "\n", "print(\n", " f\"Gate infidelity: jax: {infidelity:.4e}, qutip: {infidelity_qutip:.4e}\"\n", ")\n", "print(\n", " f\"Gate infidelity (no decay): jax: {infidelity_nodecay:.4e}, \"\n", " f\"qutip: {infidelity_nodecay_qutip:.4e}\"\n", ")\n", "print(\n", " f\"Rydberg time: jax: {ryd_time:.4f}, qutip: {ryd_time_qutip:.4f}\"\n", ")" ] }, { "cell_type": "markdown", "id": "65778e8ad3d3f04d", "metadata": {}, "source": [ "We see how well the CZ gate performs in the presence and absence of Rydberg-state decay.\n", "\n", "Let us plot the pulse profile." ] }, { "cell_type": "code", "execution_count": 6, "id": "ec85f0ce957e8f12", "metadata": { "ExecuteTime": { "end_time": "2025-11-29T17:19:27.079904Z", "start_time": "2025-11-29T17:19:27.009702Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ro.characterization.plot_pulse(pulse_ansatz, pulse_params);" ] }, { "cell_type": "markdown", "id": "3d005421-add3-4172-92a0-da53b1990c77", "metadata": {}, "source": [ "Finally, we show the spectrum." ] }, { "cell_type": "code", "execution_count": 7, "id": "d9fd81e4-b1ae-4240-9ef8-fa721a22a357", "metadata": {}, "outputs": [ { "data": { "image/png": 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fmTEdERJwhF0i/CMwupslweWWHHKjEgRBdEYWLFiA0tJSfPfdd+jRw/XI1qeffhoA8NFHHwneHzduHD7++GOcOXMGdXV1MBgMeOWVVwAAP/74o8M5P/nkE8H7Y8eOxW+//YaKigowDAOGYXDNNdew95ubm7F+/XokJCTgzjvvFJzDmTEdFRJwhENu6HED286qzkJ+nbUbldKGEARBdHVuv/12jBs3Dh988IFTgQtKpRKJiYkAYDe1iHnODz/80K1giDVr1qCiogJvvPEG/Pz83B7TUSEBRzjk2qRroVJYTNJ7Cvc4GE0QBEF0VdasWYOmpiYsW7bM4biqqir87W9/wxNPPIHU1FS2lqqjOZcvX+7SXmpra7FixQr2fJy7YzoylAeOcEiYXxgGxw7G8dK2hIl7Cvbgnn73eHlXBEEQREdjyJAhaG1tbXfcoUOH8Msvv+Cee+7BK6+8gpiYGIdzNjc3u7yXsLAwNrebmDEdGRJwRLtcl3QdK+COlhxFo6ERgZpAL++KIAiC8EVuuOEG5ObmensbPg+5UIl2uTbpWrZtMBlwsFg4Lw9BEARBEJ6BBBzRLmlhaUgMTmT7h4sPc+5SGhGCIAiC8DQk4Ih2USgUGJUwiu0fLTnqxd0QBEEQBEECjnCK4XGWIsSXai6hqrnKi7shCIIgiK4NCTjCKUbEj+D1j5UcEx7YTlFhgiAIgiDEQwKOcIr4oHgkhySzfXKjEgRBEIT3IAFHOA3XCpdRliE8iKGgBoIgCIKQGxJwhNMMjhnMti/VXEKjodF7myEIgiCILgwJOMJpBkQPYNsmxoRzVee8uBuCIAiC6LqQgCOcJi0sDYFqSwWG0xWnvbgbgiAIgui6kIAjnEalVKF/dH+2f6rilBd3QxAEQRBdFxJwhEtw3ainyknAEQRBEIQ3IAFHuMTA6IFsu6ihCNUmgxd3QxAEQRBdExJwhEv0jejL62eZKBKVIAiCIDwNCTjCJRJDEhGgDmD7Wa0NXtwNQRAE0VHIzMyESqXC448/bndMQ0MD3nnnHUycOBGxsbHQarWIjY3FxIkT8Y9//AONje0bBZxZR4ja2lpERUVh1KhRYOzkLHVmTEeBBBzhEkqFEr3Ce7H9LFOTF3dDEARBSMmlS5ewYsUK3HTTTRg6dCh69uyJ9PR0DBgwAGPHjsU999yDZcuWYevWrTAY+EdoHn/8cQQEBGDp0qWCc+/duxe9evXCggULcPToUQwaNAi33347Bg0ahKNHj+Lpp59Gr169sH//fod7dLSOTqeDWq1GSEgIWltbeffCwsKwaNEiHDlyBOvWrROc25kxHQUScITL9I7ozbZtXagd+y8WgiAIwpbm5mYsWLAAL774IrRaLYYOHYrMzExkZ2cjICAAu3btwq5du7Bq1SqMGjUKGzduRO/evXH27FkAwLfffov9+/fjkUceQWxsrM38+/fvx5QpU1BSUoIFCxagpKQE27dvx/r167F9+3aUlJTg2WefRXFxMSZNmmRXxLW3zpEjR9Da2oqRI0dCpVLZ3H/ssccQExODRYsWoaWlRXANZ8Z0BEjAES6THpHOtrNMjTB5cS8EQRCEOEwmE5544gk89NBD+Prrr7FgwQIsXryYFUD3338/oqOjodVqkZCQgGnTpmHmzJnIzc3F3//+dwDAO++8AwB44IEHbOZvamrCnXfeCb1ej5dffhmrV69GcHAwb0xwcDDeeust/P3vf4der8cdd9yBpiZbD4+jdQDg4MGDAIAxY8YI3vf398fs2bNRXFyMb775xu0xHQEScITLpIdbBFwTTChUq724G4IgCEIMSqUSa9euRb9+/dhrhw4dYl2QU6ZM4Y1nGAb33HMP+2xmZiYOHDiA0aNHo0+fPjbzf/zxxygsLERaWppd96qZF198ET179kRRURE++ugj3j1H63z++edQKBR48cUXAQCvv/46FAoF+++HH35gx86bNw8A8P7779vdhzNjvA0JOMJlekX04vVzNCTgCIIgfBlrd+OWLVsAAPHx8RgwYADvnkKhwKOPPoqxY8diyZIlrDiyFnpmNm/eDAC45557BN2aXJRKJWbPng0A+L//+z/ePUfrBAYGYu7cufD39wcA3HnnnZg7dy77b+TIkezYwYMHIyYmBkeOHEFxcbHgPpwZ423ok5dwmQi/CIRoQlBvqAcAXNFogKZmL++KIAjCdVpaW5Bfl+/tbbhNcmgy/FR+ks/7888/AwAmTZokeH/VqlVse/78+QDsuy1PnjwJoE0UOYN53OnT/HKNO3futLvObbfdhqlTp2LdunUIDQ3FV199BYVCYXeNMWPGYPPmzdixYwfuvfdet8d4ExJwhMsoFAp0D+2O05VtP1xXyAJHEISPkl+Xj1s33+rtbbjN9zd9b+MVEUt+fj4rnuxZ1bhkZmYCAM8Fy6WqqgoAEBoa6tT65nHV1dUurXP8+HEwDIOhQ4c6FG8A0L9/f2zevBkZGRl2xZkzY7wJuVAJt0gJTWHbeW4IuEvVl/D+ifex7OAyfHnuS9Q010i4O4IgCMJdzNY3AFi6dCmSkpLYf1dddRWMRiN7v6GhAQ0NbflAo6KiBOcLDw8H0JZjzRnMwi0iIsKldY4fPw4AGDZsWLtrmOcoLS0VNcabkOmEcIvuod3Zdp5a4/RzJsaENZlr8NEp/uHU9zPfxytjX8G01GmS7ZEgCIJwHfP5t8GDB7NWL3twRVlISIjgmB49eqC8vByZmZm47bbb2l3fvGb37pbPGWfWOXbsGABg+PDh7a5hz8rn6hhvQgKOcAuugCtSq9CiAPycSAH3XsZ7+Pj0xzbX6w31eGb3M3jD9AZmps2UcqsEQRB2SQ5Nxvc3fe/tbbhNcmiypPO1tLRgx44dAICbb7653fFm6xoA1NfXC7pJb7zxRhw5cgTffvstli1b5tC9aTKZsHHjRvY5V9ZxxQJnFoRcK587Y7wJCTjCLbgCjlEoUKBWo6fB6OAJ4GDRQZ540yq16B7WHVnVWey1pfuXold4L/SN7Cs0BUEQhKT4qfwkP0Pmy+zatYstZ+WMgAsMDERQUBAaGhpQWVkpKKz+8pe/4M0338SFCxewbt06zJ071+58n3zyCS5duoTg4GA2lYcz69TW1uLy5csICwtDr17tv5+VlZUAgLi4OFFjvAmdgSPcgnsGDgDy23Gjtppa8ebRN9m+v8ofn874FN/d9B1eHfsqe91oMmLR3kUwmAxC0xAEQRAyYj7/lpaWhiFDhjj1zNChQwGArcpgTWJiIlauXAkAeOSRR9ioVGtOnDjB1jd94403kJSU5PQ6Z86cAcMwuPrqq9sNYAAsEa6OrHXOjPEmJOAItwjVhiJYY8mkXaL+X24fO8V/t1/Zjks1l9j+k0OfxMCYgQCAW9NvxUMDH2LvXaq5hO8ufifDrgmCIAh7MAzD5my7//77nX5u4sSJACxVEISYP38+nn76aTQ2NmLGjBlsShAzO3bswPXXX4+mpiY89dRTeOyxx1xax1yX1Ww9bA/zHPbSpDg7xpuQgCPcJj4onm0Xqx0nZ/z6wtdsOyk4CXf2uZN3f/6g+egZ1pPtr/1jLZqMtmVUCIIgCHnYtGkTrly5guTkZEEBZY9bbrkFALB9+3abexUVFZg3bx7mzZuHqqoqBAUFobi4GFOnTsUvv/wCAPjll18wdepUlJSUICgoCNXV1ewzFRUVTq0zaNAgRERE4Pjx4xg5ciTmzJmDefPmYdeuXTZjMzMzUVlZiZEjRyIhIUHwNTkzxtuQgCPcJiHI8k1d7KCcVk5tDo6XHmf7d/W9CxoV3+WqUWnw1LCn2H5lcyV+yv5Jus0SBEEQdnn77bfx6KOP4tZbb8Xu3bsRFhbm9LNDhgzB2LFjceTIEZw7d453T6fT4bPPPmP/mVOBmEwmlJSUAABKSkrA/M9709DQwBuv0+mcWic8PBw//fQTJk+ejOzsbHz++ef47LPPBCs/fPrppwCARx991O5rcmaMtyEBR7iNswJuR94Otq1RanBLr1sEx12XdB36RVoSNH559kv2h5ogCIKQjwULFqC0tBTfffcdevTo4fLzTz/9NADY1C9NTU0FwzCC/8xBCvPmzbM7JjU11al1AGDs2LH47bffUFFRwT5/zTXX8MY0Nzdj/fr1SEhIwJ133mkzh7NjOgIk4Ai3SQjmCjj7LtTf835n26MTRiPMT/gvO4VCgXuvsmS7vlx7GcdKj0mwU4IgCEJObr/9dowbNw4ffPCBrIlvxa6zZs0aVFRU4I033oCfn3AJMmfGdARIwBFuw7XAlatUEIobrWiqwMkKS8TRpBTHh0FnpM5AuF842/85+2f7gwmCIIgOw5o1a9DU1IRly5Z1yHVqa2uxYsUK9oycu2M6CpQHjnAbroAzKRQoV6vQzWoM9+wbAFybdK3DObUqLaanTsc3F74B0Ba9unjUYmhVWkn2TBAEQcjDkCFD0Nra2mHXCQsLY3O7iRnTUSALHOE23ChUAChW2f49kFlmKcOSEpKC2MDYduf9U9qf2Hadvg4Hi+yHphMEQRBEV4QEHOE20QHRvH6lyvbbKaM0g20PiXUuKeTgmME8cbi7YLebOyQIgiCIzgkJODcpKyvDunXrMHv2bKSnp8Pf3x+BgYHo27cvnnjiCeTm5jp8Xq/XY+XKlRg0aBCCgoIQERGBCRMm4Ntvv/XMC5AArUqLUFiCFyqswrUbDY24UH2B7Q+NG+rUvAqFAtcmWlytewr2UDQqQRAEQXAgAecmCxYswNy5c/HNN98gMDAQN910EyZOnIiqqiqsWbMGAwYMEEw2CLRlip44cSIWLlyIvLw8zJgxAyNHjsT+/fsxa9YsPPvssx5+Ne4TrbDkc6u0EnCXay7DxJjYfv+o/k7Pyz0rV9pYiqyaLAejCYIgCKJrQQLOTSIjI/H3v/8deXl5+OOPP7Bhwwb8/PPPyM7Oxl133YWGhgbcddddqK6utnl28eLFOHDgAAYOHIisrCxs2rQJ27Ztw6FDhxAcHIzVq1fjp598I4ltlJIj4NQqABZL2cXqi2xbrVQjLSzN6XlHxI+AVmkJXNhfuF/cRgmCIAiiE0ECzk3ee+89vPTSS0hMTORdDw4Oxscff4yQkBBUVVWxhYHNVFdXY+3atQCAtWvXIjraco5s2LBheOGFFwAAr7/+usyvQBqiFRaRVankfztxrWY9wnrYVF9wRKAmEEPiLGfmrKNZCYIgCKIrQwJOBgIDA9GnTx8AQH5+Pu/eli1boNfrkZKSgnHjxtk8O3v2bADAoUOHUFRUJP9mRRLFcaFWWCXz5Vrgekf0dnnuYbHD2HZmWSbPHUsQBNEeCoWCbZtM9PuDkA9uWhOl0jPSigScDBgMBjaIwboIbmZmW1qN4cOHCz6blpaGyMhIAMCJEydk26NURLVzBs5Meni6y3MPi7MIuDp9HS7VXHJjhwRBdFVUKhVbC9Ncg5Mg5KC2thYAoFarPSbgKJGvDHz88ceoqKhAQEAArr/+et69nJwcAEBKSord55OSklBVVcWO7chwgxgqVCowDAMFgAZDA6qaq9h7qaGpLs89MGYg1Eo1jCYjgLaUJO5Y8giC6JooFAqEhISgpqYGZWVlAAA/Pz+eZY7o+BiNRm9vQRCGYdDS0oL6+npWwEVERHjs+4sEnMScOnUKzz33HABg6dKliIuL492vr68HAAQFBdmdIzg4GABQV1fn9LpJSUl27xUXFyMmJob9BSYlIQZL0IJBoUBOcS6CA2Nxue4yb1ygIdCt9dND03Gu5hwA4Ej+EUyKdFyKqzNQU1Pj7S0QLkDvV8eHYRgYjUYUFxez10jE+Q7mNFId8T1jGIb9p9VqYTQanfqsM5lMoi11XVLAPf/889i8ebPLz3300UcYP3683fsFBQW48cYbodPpcNNNN2HhwoVitukThCv430J1Bh2CEYvipmLe9fgAftUGZ+kb1pcVcJfqyIVKEIRrqFQqREREoKGhAc3NzTAYDOx1wjcwny/riO+ZQqGARqOBv78/AgICPCoyu6SAKyoqwoULF9ofaIVOp7N7r6SkBJMnT8aVK1cwffp0bNiwQfCNDAkJAeD4PIZ5ndDQUKf3VlBQYPdeUlISTCYTYmPbL2PlKi1+gUCjpa8JViM2Nhb15fXstQi/CPRI7OHW/EPrhuL7K98DAK40XEFIZAgC1AEuz8MwDIobimEwGZAUnASVsuP9IrBGjveLkA96vzo+DMOgtLQUDMPwMgAQHZuKigoA6HDvmUKhgEqlcku0SXFOrksKuC+++AJffPGFZPOVlZVh0qRJuHjxIqZMmYIffvgBfn5+gmNTU1MBAHl5eXbnM4sx89iOTKiVBa5W3+b2Lai3CMqkEPvu3fboF9mPbZsYE7Kqs3B1zNUuzbGnYA/eOvoWcutyAQBR/lF46OqHcHffu6FUUBwPQXQVFAoF+8Gp0Tif1ojwLmbLG71nfOjTSyTl5eWYNGkSzp07h8mTJ2Pz5s3w9/e3O37o0LZyUseOHRO8n52djaqqtsP/Q4Y4VzvUm4RABQWnzJVZwBU1WFKgJAYn2jznLGnhabyEvucqz7n0/MaLG/HojkdZ8QYAlc2VWHFkBRbuXcgGSBAEQRCEL0ECTgQVFRWYNGkSzpw5g8mTJ+PHH39EQIBj994NN9wArVaLvLw87N9vW11g/fr1AIDRo0ejW7dusuxbSpQKBUI5+ZXqWtoEXHljOXstLjDO5jln0Sg1vMjTc1XOC7jMsky8dug1u/e35mzFP47/w+29EQRBEIS3IAHnJlVVVZg8eTJOnz6NKVOmOCXegLYQ4/nz5wMAHnnkEVRWVrL3MjIysHLlSgDAkiVL5Nm4DHAFnNkCV95kEXAxgTGi5u8daRFw2bXZTj1jMBmwdP9SNvmvUqHECyNewD8m/APRAZZzFJ+d/YzKdBEEQRA+R5c8AycFDz74IE6ePAmFQoHIyEhWlFlzyy234JZbbuFdW758OY4cOYKDBw8iPT0dkyZNQkNDA3bs2AGDwYAFCxZg5syZHngV0hBmMsFcb6JWX4dWUysvB1xUQJSo+bk1VLNrs9tyzbVzaHTzpc24UneF7T859Ence9W9AIDuod0xe8tsNBmbAAArjqzAdzd951KpL4IgCILwJiTg3MR8To1hGGzYsMHuuNTUVBsBFxgYiF27duHtt9/Gl19+iS1btkCr1WLMmDF47LHHMGvWLDm3LjlhrXwLXHVLNa/sVUyAOAtcjzBLBGttSy2qmqscikITY8JHpz5i+2lhaZh71Vy23yuiFxYMW4DXD7fVm82ty8WmrE24q+9dovZJEARBEJ6CBJyb7Nq1S9TzWq0WCxcu7BS54nhn4PT1vPNvgLQCDgByanMcCrhjJcdQoLNEwf5t0N9s0obM6j0LGy9uZOu1fnrmU9ze+3aolfQjQRAEQXR86AwcIRrrM3Dc82+AeBdqt6BuvEjU9s7B/XDpB7Yd6R+JKd2n2IxRKVV4+OqH2X6hrhC/5f0map8EQRAE4SlIwBGi4Qq4en09KpssgRlapRahWucTEguhUqqQGpbK9nNq7deINZgM2Jm/k+3/Ke1P0CiFz7ZNSZmC5JBktv991vei9kkQBEEQnoIEHCEOhkGgyZIHrtHYyAtgiAyIlKS0SPfQ7mybmyTYmhNlJ9BgsFS5mJ463e5YlVKF29JvY/uHig+htKFU5E4JgiAIQn5IwBGiCeJY4BoMjaj7XyoRAAjThkmyRlKwpZpDYUOh3XF7C/ay7XC/cAyIGuBw3plpM9lqDCbGhJ+yfxK5U4IgCIKQHxJwhGiCOJUYGox8ARfqJ859aqZbsCWpcWF9IRjOmlwOFR9i22O7jW235mlcUBzGJIxh+zvzdjoYTRAEQRAdA1ECTqVSSfJPrabIP1+Ga4EzmAy8M3Biz7+Z4Qq4RmMjaltqbcY0GhpxofoC2x+VMMqpuSd3n8y2T1acREVThYidEgRBEIT8iBJwDMNI9o/wXQJM/PevpKGEbYf5Se9CBYTdqGcqz/Dyzw2KGeTU3NclXcfr787f7cYOCYIgCMJziHahzps3DyaTye1/c+fObX8RouOiUCCII5oAvoCTygKXEJzA6xfW2wq4P8r/YNshmhCb/HH2iA2M5Z2V21u418FogiAIgvA+dAaOEAfDIMjKAlfdUs22pRJwAeoARPlb8skV6mwF3KnyU2x7YMxANjjBGcYnjWfbx0qP8Sx5BEEQBNHRECXg/vrXv2LixImiNjBx4kQ8/PDD7Q8kOizcM3DWSCXgAP45uNJG23QfWTVZbLtfZD+X5h4RN4Jt17bUIqs6y8FogiAIgvAuoqIH1q5dK3oDc+bMwZw5c0TPQ3iPQAdnGKU6AwcA0QHRbNu6XFeTsYmXH65XRC+X5r465mpolBoYTAYAbVa4PpF9ROyWIAiCIOSDXKiEaAIdWOBCtCGSrcOtqWodKZpTmwMGFiHZK9w1Aeev9sfVMVez/aMlR93cJUEQBEHIDwk4QjQaAFqTsBUuSBMk2ToxgRYBV9ZYxrt3qeYS21YqlE4HMHAZFjeMbZ+qOOVgJEEQBEF4F9kTsDU0NGDdunU4d+4cgoODcdNNN2H06NFyL0t4mADGBD1sk+YGqAMkW8PaAscwDFum63LNZfZeSkgK/FR+Ls/PjUQtayxDeWM5TzQSBEEQREdBtAUuNzcXd9xxB6KiohAWFoZx48Zh69atAIBLly6hT58+eOyxx/D+++9j5cqVGDduHF5++WXRGyc6Fn52zsEFqgMlW4Mrpppbm6Ez6Ng+9/wbt26qK/SP7s/rn6k849Y8BEEQBCE3oixwVVVVGD9+PIqLi9lkvAcPHsQtt9yCXbt24amnnkJRURGio6ORmpqK3NxcVFRU4LXXXsPkyZNx7bXXSvIiCG/S9r772xFwARrpLHDcIAagLZDBfMaOm1YkMTjRrfljA2MRExCD8qa2AIkzlWcwIXmCS3OYGBO25W7D1pytqGmpQXp4Ou7qexfSI9Ld2hNBEARBCCHKArdq1SoUFRUhPT0dH374IX788Ue8+OKLUCqVePrpp3Hs2DEsXrwYpaWlOHLkCEpLS7Fw4UIwDIMPPvhAqtdAdAC0HrDAxQbG8vpmoQUARboitu2ugAP4VrjTFadderbJ2IQndj6B5/c8j9/zf0dmWSY2XNyAWT/OwudnP3d7TwRBEARhjSgL3JYtWxAYGIg9e/YgNrbtw/VPf/oTYmNj8cQTTyAlJQWvvvoqe05JoVBg2bJl+PLLL3Hw4EHxuyc6DPYscP5qf8nWiPCLgFKhZJPsmiNRGw2NvOTBYgTcVZFXYVf+LgBwKRccwzBYsm8JdhfYluFqZVrx5tE3oVKoMLvfbLf3RhAEQRBmRFngLl++jLFjx7Lizcyf//xnAMDVV18NpZK/hEqlwqBBg1BcXCxmaaLD0CbO/QSiUAPUAS5VQ2gPlVKFMK0lr1xNSw0A26oMiSHuCzhu/rjSxlLU6+udeu7H7B+x/cp2th8bGIsZqTOgVlj+Rlp5dCWvWgRBEARBuIuoT9eGhgZ069bN5npCQlvdyujoaJt7ABAVFQW9Xi9maaKDIRTEIGUEqhluYuDalloAfPcpwK/Y4Co9w3ry+tm12e0+02RswjvH32H70QHR+PKGL/HWdW/h3UnvQqVoi841MSa8fPBlNlkwQRAEQbiLaPOItYUNAOsyJboOnhJw4X7hbNtsgeOW1QrSBIkq35Ucmgy10mI146YnscePl3/kJRZeNHIR4oPiAQDXJl2L+YPms/eyqrPw0+Wf3N4fQRAEQQCUyJeQCK8IuOYaAPyqDNxcce6gUWqQGprK9tsTcAzD4MtzX7L9q6KuwtTuU3lj7h9wPy+x8AcnP4ChlaxwBEEQhPuITuR76dIlrFu3zqV7ly5dEhhN+CZtwk1IwEkZgWom3D+cbZstcFwBFxUQJXqNtLA0trJDewLudMVpnpv13n732ligNSoNHhn0CJ7b8xyAtjN7O/J2YEaPGaL3ShAEQXRNRAu4/fv3Y//+/TbXFQqF3XvcDPpE50AoCtVTLlSugLPOFecOaeFpwJW29pW6Kw7HcgMXgjRBmJY6TXDctNRp+OeJf7Lzbbi4gQQcQRAE4TaiBFxKSgoJMQKAcB44rUor+TpCQQyVTZXstSh/8Ra45JBktl3cUAyjycg7F2eGYRj8euVXtj8heYLdEl5KhRKzes/CqmOrAABHS44ipzbHrZqtBEEQBCFKwOXm5kq0DcLXEbLAySHgPGGBSwpOYtutTCtKGkqQFJJkMy6vPo+XwmRqylSbMVxu7nkz3st4D3pTWwT2Lzm/YP7g+Q6fIQiCIAghKIiBkARBC5xSXgHXaGyEvlWPymaLBU4SAWcl1gp0BYLjjpYcZdtKhRIjE0Y6nDfcPxzjEsex/W2520TskiAIgujKkIAjJMFfIJGvRqWRfB3rFCElDSVoaW1h+1IEMUQHRPNcoQX1wgLuSMkRtt0vsh9bl9UR3DNyl2svO5WmhCAIgiCsIQFHSIKQL14OF2qQNojXt7aORfhFiF5DqVDyynHZE3DHS46z7ZHxjq1vZiYkTeBZJn/P/93NXRIEQRBdGVECTqVSuf1PrRYdAEt0INQecqEGa4J5/WIdvyRbqJ/7SXy5cN2o+fX5NvcrmipQ1lTG9gfHDnZq3mBtMEbEj2D7h4oOub9JgiAIossiSsAxDOP2P5PJJNVrIDoAGgEBp1FK70IN0vAtcEUN/DJaYqowcEkISmDbJY0lNvfPVZ7j9a+Kusrpucd0G8O2M8oy0GRscmOHBEEQRFdGlIAzmUw2/xYsWAB/f388+eSTyMjIQHV1Naqrq5GZmYmnnnoKAQEBWLBgAQm4ToanXKjtWeCcOYfmDHGBcWy7vLHc5v75qvNsO9wvnDe+PcZ2G8u2DSYDjpcedzCaIAiCIGyR1I/5ySef4B//+Ae2b9+OiRMn8u4NGjQIb7/9Nm666SZMmTIF/fr1wwMPPCDl8oQ3+J/lTciFKkcQg5/KDyqFCq1MKwC+BS5QHSiYr80dYgNj2XZ5YzlMjAlKheXvnXNVFgtcv8h+LuVD7BXeCzEBMShvahOGR4qPYHzieAl2TRAEQXQVJA1i+Ne//oVx48bZiDcuEyZMwPjx47F27Voplya8jKfOwCkUCp4btaTB4t6U6vwbwBdwRsaI6uZq3v2s6iy23Teyr0tzKxQKDI8bzvb/KP/DzV0SBEEQXRVJBdz58+eRnJzc7rjExERcuHBByqUJLyNka5PDhQrw3ahFOosFTqrzbwBfwAFAWaMlYMFoMvIiU9PC01yef1DsILZ9pvIMFbcnCIIgXEJSAadWq3Hq1Kl2x50+fZqiUDsZnrLAAfxUIgws63pKwBXrimFkjGw/JSTF5fkHxVgEXEtrCy5U0x80BEEQhPNIKuBGjx6N06dP47333rM7Zs2aNTh16hTGjBljdwzhS5jPwNnekeMMHGAbyGBGSgEXrAlGgDqA7XNThlyp5xe4Twl1XcD1iejDSxZMblSCIAjCFSQ1g7300kv47bff8PTTT2PDhg2YPXs2evRoK9adm5uLL7/8EgcPHoRarcaLL74o5dKEl9HAM2lEANtUImakikAF2s6pxQbG4kpdm1jjWuDM18x7ifJ3vfqDRqVB/6j+yCjLAACcqmjfck0QBEEQZiQVcGPGjMH69evx4IMP4sCBAzh48CDvPsMwCA4OxocffoixY8famYXwRQRdqDKdgeNaxrjYE3buEuUfxYq1qqYq9npeXR7bTglJcSkClUvfyL6sgLtYfVHETgmCIIiuhuQH0WbNmoVrr70WH330EXbv3o2CgrbD3omJibjuuuvwwAMPICEhoZ1ZCF9DI+BClesMnD0BZ++6u0T6R7Lt6hZLFGqhrpBtu+M+NdMnsg/bzqnJgb5VL5voJQiCIDoXskQSxMXFYcmSJViyZIkc0xMdELWAC1WqnGzWcM+OcQnUBEq6Trh/ONvmphEpbSxl2/GB8W7P3zuiN9s2Mkbk1ObwRJ2zGEwG6Fv1klsgCYIgiI4LhYIS4mDsBzGolCpZlvRX+wtel9oCF+EXwbZrWmrYNvc8nHW0qiv0DO8JpUIJE9NWleRC9QWXBFyhrhCrj63G7/m/w2gyIjU0FfcPuB+39LrFbbcuQRAE4RtIGoVKdF2EzsCpFfL8feCv8pCA87cIOLMFTt+qR1Wz5TxcXJDzJbSsCVAH8FKQXKhyPpXIxeqLmP3zbGy/sh1GU1tKk9y6XLx04CW8fOBlVhQSBEEQnRNRAm7atGlYvXq1qA2sWrUK06ZNEzUH4X2EolC5paekxFMWuHC/cLZd01IDE2PiWd8AuFQDVYj0iHS2nV2b7dQz9fp6PLnzSZ6Q5PL9pe/xXob9VD4EQRCE7yPqE/a3337DmTNnRG3gzJkz2LFjh6g5CO8j5EL19Bk4OYMYWplW1OvreeffAPECLjU0lW1zo1sd8cEfH6BAZ6kEMSN1Bl4e8zLP5fvx6Y9xtOSoqL0RBEEQHRfRn7A6nQ55ec598Nh7nvBl2pSbSsCFKpcFzlNRqNwgBqDNCse1wCmgQHRgtKg1uod2Z9uFukIYTI5LapU0lGD9+fVsf3jccKy4ZgVUShX6R/XHnK1z0NzaDAB49eCr+P7m72UT0gRBEIT3EP2bfdOmTdi0aZMUeyF8GKFwBZVCniAGT0Whci1aQNs5OK6Ai/SPFJ2smCvgWplWFNYXIhD2X8fGixtZkadUKLF41GI2WKRfVD88MfQJvHn0TQBtZ+J+vPwjbk2/VdQeCYIgiI6HKAGXkuJ+ElOicyFka/P1KFTuGTgAqNPX8aJRuUEO7sJ1oQJtVR76+fUTHGswGfBd1ndsf0LSBN4ZOgCY3Xc2Nl7ciJzaHADAByc/wI09byQrHEEQRCdD1G/13NxcibZB+DpKD7pQPRWFGqAOgEqhQivTCqAteEBqARfuH44wvzDUttQCaLOa9YsRFnBHS46ioqmC7d/R5w6bMSqlCo8MegTP7XkOQJtbdk/BHkxKmSR6rwRBEETHgdKIEJIgZGuTLY2IhyxwCoWClxxXp9ehprmG7Vtb6Nyle4jFjeookGF3/m62HekfiTHdxgiOm9p9KroFdWP7Gy5skGCXBEEQREeCBBwhCULfSHJZ4OydgbNnmRNDsCaYbdcb6nkltaQScIkhiWy7uKFYcAzDMNiVv4vtT0ieYPfrq1KqcHvv29n+/qL9KNIVSbJXgiAIomNAAo4Qx/9cp0IuVLmCGOxZ4OSoIxqstQg4nV7HujoB6QRcQpClNrA9AXel7gqKGiwi7Lqk6xzOeWv6rTyBt/3KdpG7JAiCIDoSJOAkRKfTIS0tDQqFAgqFAgUFBXbH6vV6rFy5EoMGDUJQUBAiIiIwYcIEfPvttx7csXR4MojBXuSn2IhQIbgWOJ1Bx6uJKpWAiw+y1FMtaSgRHJNZlsm2lQolRsaPdDhndEA0RsSPYPvbcreJ3CVBEATRkSABJyHPPfecU4EdjY2NmDhxIhYuXIi8vDzMmDEDI0eOxP79+zFr1iw8++yz8m9WYoSkmlwuVCGhplaqZYmIDtGGsO06fR3PAidFEAPAt8DpDDroDLa5EbkCLj08nWcZtMf01Ols+1TFKRTqCkXulCAIgugokICTiO3bt+Pf//43Hn300XbHLl68GAcOHMDAgQORlZWFTZs2Ydu2bTh06BCCg4OxevVq/PTTTx7YtRS0uU6FpJNcqSuEBJxWKb37FOC7UEsbSmFkjGw/zC9MkjW4Ag4AypvLbcZwBdzg2MFOzTslZQpPRO8t2OveBgmCIIgOBwk4Cairq8MDDzyAHj16YMWKFQ7HVldXY+3atQCAtWvXIjraksl/2LBheOGFFwAAr7/+unwb9hCyWeBUtgJO6JoUcF2o3PJVgDwuVAAoa+LXW20wNCC3LpftOyvgIvwjMDB6INs/UHTA7T0SBEEQHQsScBLw1FNPoaCgAB999BGCgoIcjt2yZQv0ej1SUlIwbtw4m/uzZ88GABw6dAhFRb4dOShXEIMnLXBcF6p1IXuuuBNDqDYUgWpL9YWyZv46l2ou8fp9I/o6Pfe4bpbvsSMlR9ot1UUQBEH4BiTgRPLzzz/jk08+wUMPPYRJk9pPlpqZ2eYKGz58uOD9tLQ0REa2FVE/ceKEZPv0Bh4VcDJEoAKORRo3R5wYFAoF4oLi2L61CzWrOottq5VqdA/rDmcZmziWbTcYGvBH2R8idkoQBEF0FGQRcHv37sUdd9yBpKQk+Pn54YEHHmDvbd++HYsXL0ZJiXC0nS9RXV2Nhx56CMnJyXjrrbeceiYnp63EUUpKit0xSUlJvLEdGoH0IWY8GcQgRwQq4Li+qlQCDmiLGjXDzTUH8AVcWliaS691QNQAnhXxWOkxEbskCIIgOgqSnzJ/7bXX8PLLL4PhfLBz22FhYVi5ciWSkpLwyCOPSL28R3nsscdQXFyMrVu3IjQ01Kln6uvrAcChqzU4uM3qU1dX5/RezKJPiOLiYsTExKCsrMzuGHcJbWmBvfS5VRVV0KlsIyrFwgiIRgWjkOX1GRrtuxx11To0KholWSdIYfl+KGsoQ01NDds/W3aWbSf7J7v8Oq8KuwqHyw8DAI4UHMGfE/4sbrMED+57RXR86P3yPTrje2YymaBUijNySCrgtm7dipdeeglJSUl4++23cd111yEuLo43ZuTIkYiJicFPP/3kNQH3/PPPY/PmzS4/99FHH2H8+PEAgO+++w7r16/HX/7yF8yYMUPqLXYK5HKhKhQKXo1SQL4zcPaqPgSoAiS1MEZoLSlJag21vHv5Dflsm1t2y1n6R/RnBdzZmrMwMSbZrKMEQRCEZ5BUwL377rvw8/PD1q1b0b9/f7vjBg0ahKysLLv35aaoqAgXLlxw+Tmdrs2aVFFRgfnz56Nbt254++23XZojJKTNndXQ0NDuOs5a9QA4TBqclJQEk8mE2NhYp+dzGj9hgQMA8XHxsuRmA9rOvDUZm9h+gDZAltcX3xIveD1EGyLpesklycCVtnZdax3Cw8MRGxuLZmMzKlsq2XH9Evq5vO5403j89+J/AQANxgbUaevQO6K3ZHsn2pDl54uQDXq/fI/O9J6Jtb4BEgu4o0ePYuTIkQ7FGwDExMTgwAHvpTT44osv8MUXX7j9/L59+1BWVoakpCTccsstdsfNmjULfn5+mDdvHubNmwcASE1NBQDk5dkvWm4WY+axvopc4g2wzTEnVxCDvbJdjs7GuYP1GTizm5hbPgsAkoLtu8rtMSB6ANQKNZvD7kTZCRJwBEEQPo6kAq6hoQHx8cIWCy61tbUwmUxSLu0VCgoKHFq+Dh06BACYMGECe23o0KEAgGPHhA+TZ2dno6qqCgAwZMgQiXba+bA+yC9XHjh7Ak6qFCJmogKi2LbepEeDsc1CW1jPr56QGJwIVwlQB6B3ZG+crWw7S2f+P0EQBOG7SCrg4uLicOnSpXbHXbhwAcnJyVIu7VFuueUWwYP0ZsyWp/z8fJvgghtuuAFarRZ5eXnYv3+/TS649evXAwBGjx6Nbt26SbzzzoONgJMpCjVAHSB4XcoIVACI8o/i9av1bZGo3OTBQZogt5MH94vsxwq3C1WuHx8gCIIgOhaSnmQeP348Tpw4gf3799sd89NPP+HSpUuYOHGilEv7DBEREZg/fz4A4JFHHkFlpeV8U0ZGBlauXAkAWLJkiVf25ytYCza5ghgCVMICTmoXKtcCB1hSiXAtcInBiW67pftGWpL/ZtVkwWgyOhhNEARBdHQkFXDPPPMMFAoF/vznP+OHH36A0cj/kPjll1/w4IMPQqPR4PHHH5dyaZ9i+fLlGDNmDE6ePIn09HTcfvvtuP766zF69GjodDosWLAAM2fO9PY2OzTWLlO5XKgBGs9Y4CL8I3j9OkNbChnuGbhuwe5bZLkCrqW1BVfqrrg9F0EQBOF9JBVwQ4cOxerVq1FRUYHbbrsN4eHhUCgU2LRpE8LDw/GnP/0JZWVlWL16Na666iopl/YpAgMDsWvXLrzxxhtITEzEli1bcPDgQYwZMwYbNmzA6tWrvb1F53HgSpYT6yAGtULylIYAAH+V8Bk4e2fj3MVP5cdLWaIztEUiVzZZLLRxgXE2zzlLekQ6FLBY785XnXd7LoIgCML7SJ4M6sknn8SWLVswYsQINDU1gWEY1NfXo66uDgMHDsTmzZvx2GOPSb1sh4JhGDAM4zC5rlarxcKFC3Hq1Ck0NjaipqYGu3fvxqxZszy4U9/FWrCplPLknLMn1OzlhxNDqNaSNsZsgStvspTVsnazukKQJggpoZbqH3QOjiAIwreRxWwxffp0TJ8+HZWVlcjJyYHJZEJycjISEhLkWI7oglgnopUrabBaqYZGqbEpAi+HgAvzC2MFm9kCV9FUwd7nphpxh/TwdNZ1ml2bLWougiAIwrvI43f6H1FRUYiKct9qQBD2sLa4yVlZwF/tD4NefgHHtcDVG+rRaGjkJSuOCYgRNX9qWCrbzq3LFTUXQRAE4V2ong7hk1hb3OSywAHCEa5yJA4O9eMLOK77FBBvgesR1oNtF9QXwNBqv84rQRAE0bERZYF79dVX3X5WoVBg6dKlYpYnujA2LlSZzsABwmLNXnCDGLgWOJ1Bx3OfAuIFXGpoKttuZVqRr8tHWliaqDkJgiAI7yBKwL3yyitQKBQ2SW3by1XFMAwJuE6Dd6JQPWmBE0oSLIsFzsqFai3grJP9ugrXhQoAObU5JOAIgiB8FFEC7uWXX7a5lpOTg3Xr1sHf3x/Tpk1Djx5tbpvc3Fz8+uuvaG5uxty5c32+zifxP7yURsTaAifnGTghsSZXEIOZekM9qpur2X6INkR0rrtQbSgi/SNR1dxWqi23Ntel57Nrs5FTk4O4oDj0j+ova61bgiAIwjGSCrj8/HwMHToUt9xyC9auXYu4OH7eqrKyMvztb3/Dzz//bLcWKEE4g7XL1NMWOD+1/EEMdfo6wXtiSA1NZQWcs8l8a1tqsXT/Uvye/zt7rW9kXywfvxzpEemS7IsgCIJwDUnNFkuXLoVGo8H69ettxBsAxMbGYv369VCr1eQ+JURh40KV8QyckOXLTym9gAvRhrDtRmMj6lqkF3BJIZbchNwqD/ZoMjZh/m/zeeINaEsEPGfrHJyrPCfJvgiCIAjXkFTA/frrr7j22mvh72//gLe/vz+uueYabN++XcqliS6GJ12onrLAceurGhkjKpstVRi47lUxJAYnsu0iXfsC7t9//BunKk4J3tMZdHh85+OobamVZG8EQRCE80j6qVdVVYWmpqZ2xzU3N6O6urrdcQRhD2sLnFyltADhNCJynIELVAfy+sUNxWxbKgtcQpAlmXZJQwlMjMnu2IL6Aqw7s47t94nog223bcMdve9gr5U2luKto29JsjeCIAjCeSQVcCkpKfj9999RWlpqd0xJSQl+//13JCcnS7k00cXwqAVOyIUqg4AL0gTx+iUNJWybmyNODFwLnMFksIl05bL+/HoYGSOANsH8xjVvoFtwNywZvQTjuo1jx22+vJlqqxIEQXgYST/1Zs+eDZ1Oh8mTJwu6SH/77TdMnToVDQ0NmD17tpRLE16j86cR8ZYFrrTB8oeQZBa4YH45O3tu1GZjM77P+p7tT0udxgYsKBVKvDL2FfZrwIDBexnvSbI/giAIwjkkFXALFy7EqFGjcPbsWcyYMQNxcXEYNWoURo0ahbi4OEyfPh1nzpzByJEjsXDhQimXJroYNlGoHg5iEDoXJxbuGTgArPULkE7AxQfGQwFL+g97Au5A0QG2HisA3NPvHv48QfGY3c/yR9jewr1UX5UgCMKDSCrg/P39sXPnTjzzzDMIDg5GeXk5jh49iqNHj6K8vBxBQUFYsGABduzY4TDQgSDaw9ri5ukgBrVS+jN31i5ULlK5UDUqDWIDY9m+vUjUHXk72HZicCKujr7aZsy8/vN41smvzn0lyR4JgiCI9pH8UyggIABvvfUWli1bhoyMDBQUFAAAEhMTMWzYMBJuhCTYlNKS04UqkMhXDgFn7ULlIpUFDmiznpU2trlnuW5aMybGhD0Fe9j+5JTJgkl7I/0jcX2P6/F/l/8PQNtZuAXDFyBAHSDZXgmCIAhhZAvd8/f3x9ixY+WanujidEYLnEalgVqphtFktLnnyDrnKjEBMWxbKIjhcs1l1LTUsP1rkq6xO9fdfe9mBVyjsRG7C3ZjRuoMyfZKEARBCCPfpx5ByIi1YJNDUJkRCmKQ4wwcYF+oObLOuUp0QDTbLm8qt7mfUZrBttUKNQbFDLI711VRVyE1NJXtb8neIs0mCYIgCIdI+qm3bt269gdxmDNnjpTLE97AS7VQPWqBEwhikMtlG6gOFEyMK6VbkivghCxwx0uPs+2roq9yuLZCocANaTfgXyf+BaAtmKFOXyepy5cgCIKwRVIBN2/ePKcKXDMMA4VCQQKOcBtP1kIVEodyWfzsWdqkFHAxgXwXqvnn0czZqrNse0jMkHbnuz71elbAGU1GHCg6QG5UgiAImZH0U2jOnDmCAs5kMuHKlSvIyMhAQ0MDbrnlFoSFSVMaiOiaeDKIQajKg1wCzl6JLusUI2LgWuBaWltQb6hnLWaNhkbk1eWx9/tG9W13vtSwVKSGpiK3LhcAsLdgLwk4giAImZH0U+jTTz91eL+0tBT33XcfsrOzceDAASmXJryGd1yoSqvjm0qlfC5UoRxzcglGf5VwlLZcLlSgzQpnFnDZtdlgOO9p74jeTs15TdI1yD2bCwDYV7gPJsYkq1ubIAiiq+PR37BxcXH48ssvceXKFSxbtsyTSxOdDGtLryddqGqF2qmjAu4glLIEkNiFyolCBYCKRss5uIvVF9m2WqlGj9AeTs15TaIlUrWquQpnKs6I3CVBEAThCI//iRwTE4MRI0Zg48aNnl6a6ERYF2GX09pj7UKVM+JVqESXRqmRdM0I/wje14sbiZpVncW2e4T1EAzgEGJ43HCeyDxaelSCnRIEQRD28IqPIygoCIWFhd5YmuikWLtUpcTaheppASfl+Tegbf9hWssZVG7Ot/z6fLbtrPUNaIvU5aYb4UayEgRBENLjcQFXW1uLgwcPIjw83NNLE50YuVyagEDAhIx1V4UEnByVDcL8LAKOm7akoL6AbSeHJLs05/C44Ww7ozQDraZWETskCIIgHCGpKSEvL8/uvfr6epw7dw4rV65EeXk5pRAhJIVboF1qbFyoAlGpUiF0Bk5uAWe2wDEMgwKdRcAlhiS6NOewuGFsW2fQ4WL1RfSL6iduowRBEIQgkn4SpaamtmsJYRgG3bt3x/Lly6VcmvAWXkrkay3Y5LTAedKF6q+2jUKVQ8CF+4WzbbOAq2iqQEtrC3s9KTjJpTkHxgyEVqmF3qQH0OZGJQFHEAQhD5J+EqWkpNj9INVqtUhMTMSUKVPw6KOPUh44wmewjnCVtWyXgAXOXmoRMXAtcHUtdQDAs74BQFKIawLOT+WHAdEDkFHWVorrVMUpkbskCIIg7CHpJ1Fubq6U0xGE08jpQvV2EIOzkaCuIORC5Z5/UylUiA+Kd3ne/tH9WQF3tvJsO6MJgiAId6FMm4RIvORCVXjQhWptgZPxDJyQgNMqhXPDiUHIhcpNJxIVEAWN0nXheFXUVWw7ty4XOr3O7T0SBEEQ9pFUwE2aNAlvvvlmu+NWrVqFSZMmSbk00cWR1QLnQReqoICzk9xXDFwBZ3ahcgvbW1drcJb+Uf15/XNV59yahyAIgnCMpAJu165dOH/+fLvjLly4gN27d0u5NNHFsAli8KALVc6kwZ6ywIX6hbLtekM9jCYjT8BZV2twlu6h3RGkCWL7VJGBIAhCHrziQjUYDLLWriS6IPLpN1nLdFkjZG2T4wwc1wIHtOWCk8ICp1QoeW5UOgdHEAQhD15RUadOnUJUVJQ3liakxktpRKzxpAvVuoyXlAidO3PnLFp7hGhCeP0GQ4MkAg4A+kT0YdtZNVkORhIEQRDuIvowz/3338/r79u3z+aaGaPRiLNnz+LEiRO46aabxC5NdGWs9Jon88CZIJ+AEzpfJ8cZOK6bE5BWwPUK78W2c+tyYTAZZBGhBEEQXRnRAu7TTz9l2wqFApcuXcKlS5ccPtOtWze8/vrrYpcmCBZPWuAYGa2OggJOhjNwwdpgXr+quQr1+nq27+4ZOADoFWERcEaTEXl1eegZ3tPt+QiCIAhbRAu4Tz75BEDbh9r999+P8ePH44EHHhAcq9VqkZSUhNGjR0Ojob/ICenozC5UT1jgCnWFvH6Ef4Tbc/cM44u1SzWXSMARBEFIjGgBN3fuXLb9yiuvYPTo0bxrBCEH3iylxciY+04ox5wc7kd/lT+UCiUrRot0Rbz7odpQocecIlgbjPigeJQ0lAAALtdcdn+jBEEQhCBUiYHoFHRmF6ocUagKhQJBmiDWbVrcUMy7z00z4g49w3uyAu5SjeMjFQRBEITrUC4PQiQdJApVRgucnHNb46kzcAAQrLGcg7MRcCIscADQK8xyDi67JlvUXARBEIQtoixw69atAwDceuutCAkJYfvOMmfOHDHLE10YTybyVXrw7xxPRaEC/HNwXBeqn8oP/mp/UXN3D+vOtvPr82FiTLImQCYIguhqiBJw8+bNg0KhwOjRoxESEsL2nYUEHCEVndoC5wEBV9pYyrbFWt8AICUkhW3rTXqUNZYhPihe9LwEQRBEG6IE3Jw5c6BQKBAWFsbrE12ILpDI1/p7Ws7vccEzcDLlUOO6ULlIIeCSQ5J5/fz6fBJwBEEQEiJKwHFzwAn1CUIuPPmHgiddqIKVGGQIYgBsU4mYERvAAABxgXHQKDUwmAwA2gTciPgRouclCIIg2qBDKUSnoDO7UIVSi0hBgDpA8LoUFjiVUoXE4ES2n1eXJ3pOgiAIwgIJOMIn8WQQgyfXErLAyXX4316gQog2RPC6q6SEWs7B5dfnSzInQRAE0YaoP+3z8sT9VZ2SktL+IIJwAlmjUK0ElKyJfIUscALXpMBfJSzgAtWBkszPPQdHAo4gCEJaRH0ypKamuu1eUigUMBqNYpYnCBZZXagyikNrhNylclng/NR+gtftuVZdhSvgrEt1EQRBEOIQJeBSUlIo6rTL0/mjUK0FlJxrCVnbZHOh2rHABWikEXDxgZao0zp9HRoNjQjUSGPdIwiC6OqIEnBUOovoMMj4d0RnDWKwdwZOKheqddqQksYSpIWlSTI3QRBEV4eCGIhOgSeDGOREpVTZXJPNhaqS14UaFxTH65c2lNoZSRAEQbgKCThCHF5K5GuTXLeTuFBVClsBJyTqpMCeBU4qARfpH8mzKJqL2xMEQRDikUXAGQwGfP311/jb3/6GmTNn4k9/+hP++te/4quvvoJer5djSa+Sk5ODxx9/HL1790ZgYCBCQ0PRt29f/OUvf0F2tnAhb71ej5UrV2LQoEEICgpCREQEJkyYgG+//dbDu/dNGCvh2FnywAmJQyFRJwV2z8BJJOCUCiXiAi1WuJJGEnAEQRBSIfnhmsOHD+Puu+/GlStXbD5kP/roIyxevBjr16/HmDFjpF7aK3z11Ve4//770dzcjIEDB+LGG29EU1MTLl++jE8//RS33XYb0tL4534aGxsxdepUHDhwAOHh4ZgxYwZ0Oh127tyJ3bt345lnnsGqVau89Ip8A+tUHp3FhSokFmUTcDJb4IC2c3DmCFRyoRIEQUiHpALuwoULmDp1KnQ6HRITE3HnnXeiR48eANoCHr755htcuXIF06dPx5EjR9C3b18pl/c4O3bswL333ovY2Fhs2LAB11xzDe9+bm4u/PxszxktXrwYBw4cwMCBA7Fz505ER0cDAI4fP44JEyZg9erVmDBhAmbOnOmR10E4xsaF6uHIa09HoUoZKUoWOIIgCHmQ9JPhpZdegk6nwxNPPIHLly9j1apVePTRR/Hoo4/irbfewuXLl/Hkk09Cp9Ph5ZdflnJpj9Pa2ooHH3wQJpMJmzZtshFvQFuevISEBN616upqrF27FgCwdu1aVrwBwLBhw/DCCy8AAF5//XUZdy8l3jkD50kXqlwCylnkOgMndx44gB+JShY4giAI6ZD0k2nnzp3o2bMn3nnnHWi1Wpv7Go0Gb7/9Nnr27ImdO3dKubTH+fHHH5Gbm4vx48dj7NixTj+3ZcsW6PV6pKSkYNy4cTb3Z8+eDQA4dOgQioqKJNtvZ8OTLlRv46tn4AAgNjCWbZc3lUs2L0EQRFdHUhdqQ0MDpk2b5tAaolAoMGLECPzwww9SLu1xtm3bBgC49tprYTQa8X//93/Yv38/mpqakJqaiptvvlnQRZyZmQkAGD58uOC8aWlpiIyMRFVVFU6cOIFu3brJ9yI6EZ6MQvU0vppGBACi/KPYdm1LLQwmg2C9V4IgCMI1JBVwaWlpqKioaHdcZWUlezbOVzl58iQAQK1WY+TIkawwM7N48WI89dRTWLVqFU/Q5uTkAHBcBzYpKQlVVVXsWMIWGwtcJ3ahypXIV6uytZID9oWdO0QFRPH61c3VPKscQRAE4R6SfjLMmTMHL730Es6cOYP+/fsLjjlz5gx27dqFv//971Iu7XEqKysBAG+88QZCQ0PxxRdfYPr06WhubsbXX3+NJUuW4O2330Z0dDQWLVrEPldfXw8ACAoKsjt3cHAwAKCurs7p/SQlJdm9V1xcjJiYGJSVlTk9n7OE6w0QlgGQZT0zjQ2NvH5VVRVC9CGyrFXVUsXrG41GWV+bNdVV1fBrlk5UmaltrhW+XlULg9ogzSL8twlZhVlAmDRTdxRqamq8vQXCBej98j0643tmMpmgVIozDkgq4J555hkcOXIEkyZNwtKlSzFnzhyEhoYCaBMjn3/+OZYtW4Ybb7wRzz//vJRLu8Tzzz+PzZs3u/zcRx99hPHjxwOwHKI3GAxYv349pk2bxo579tlnYTKZ8MILL+CNN97AE0884VCwEa7jyTNwSnguka/g+jJZAIXKdgHSWvwitBG8frW+WrK5CYIgujKSCrj09HQAQHl5OZ588kk8+eSTCA8PB8BX0MePH0evXr14zyoUCly+fFnK7dilqKgIFy5ccPk5nU7HtkNC2qw9qampPPFmZv78+XjhhRdQX1+PI0eOYOLEibznGhoa2l3HLH6doaCgwO69pKQkmEwmxMbK4LrS2P8WkmW9/xGYx091ERUVhdgwedbTNvNtjCq1StbXZk1cTBxiAmMknzfIIPxHRWJ8omQu6WgmGmqFGkbGCAAw+cv0fdgB6Kyvq7NC75fv0ZneM7HWN0BiAcctbm+2UFVX2/7FfeXKFZtrnsyt9cUXX+CLL74QNUdaWhqOHz9uk6TXTEhICGJiYlBeXo7i4mL2empqKgAgLy/P7txmMWYeS7SPnOfUPJ33zRq5XptQMIFGqZH09SoVSkT6R6Ksqc3lXNlUKdncBEEQXRlJBVxXOnQ/bNgwbNy40W7QRmtrK2t1NJ9pA4ChQ4cCAI4dOyb4XHZ2Nqqq2s5cDRkyRMIddy5s8sDJWYnBuu6qhwWdPVenHPPaC2wQQ1RAFCvgqpqr2hntXRiGwZ6CPfj6wtcoqC9AYnAi7uhzByalTPL21giCIHhI+snQvXt3Kafr0Nx2221YtGgRzp8/j4KCApsggl27dsFgMEChUPBShtxwww3QarXIy8vD/v37bXLBrV+/HgAwevRoSiHiAG+egfM0clnglAolVAoVWplW9pocKT4i/SPZtj0LXLOxGR+c/AD7CvchOiAaf736rxgcO1jyvTjCxJiw8shKrD+/nr2WW5eL/UX7cWefO7Fk1BKvW2MJgiDMePeTyYfp1asX7r33Xuj1ejz00EOorbVE9F25cgWPP/44AOD222/nCbGIiAjMnz8fAPDII4+w0awAkJGRgZUrVwIAlixZ4omX0XmQ8XPV2x/aciXyBWwFm1YpjwXOTGWzrYBjGAbP7H4GH536COerzmNf4T78ZdtfcKj4kOR7ccQHJz/giTcu31z4Bv/+498e3Q9BEIQjSMCJYM2aNRg6dCh++eUX9OrVCzfeeCOmTp2KAQMG4Ny5cxg0aBD+/W/bX/rLly/HmDFjcPLkSaSnp+P222/H9ddfj9GjR0On02HBggVUB7UdOmsxeyHkKqUF2Ao4jUp6C1yYnyVvSG2LbeqSrTlbsadgD++a0WTEkn1L0GCwH+wjJSfLT/IEWogmBHf2uROhWksg0b9P/htnK896ZD8EQRDtIbmAy87Oxl//+lf06tULgYGBUKlUgv/UannO9XiSsLAw7N+/H8uXL0e3bt2wc+dOHDhwAOnp6VixYgUOHjyIyMhIm+cCAwOxa9cuvPHGG0hMTMSWLVtw8OBBjBkzBhs2bMDq1au98Gp8C0/WQrWms6QRAWwFmxwu1DCtRcDV6W1zG/739H8FnytrLMP6c8IWMSlhGAarj62GiTEBaDsb+O+p/8aLo1/EB1M/YM8Kml2s1t97BEEQ3kBSFZWZmYkJEyZAp9O1+0uus/wS9Pf3x6JFi3jJep1Bq9Vi4cKFWLhwoUw761p4UlRZW//kRs4zeNaBDHIEMYT6WaxY1gLuQtUFXKi2pPR5Zcwr2Hx5MzLKMgAA68+vx7z+82SxDJrZX7SfXQ8AHh74MK6OuRoAMCB6AB4c+CBrncsoy8Cx0mMYET9Ctv0QBEE4g6SfDOa8Z3/+859x/Phx1NXVwWQy2f1HEFLhyShUTyPn+p44A8d1Q9a11LGWLgD4Pf93th2gDsCMHjPw0NUPsdcqmiqwv2i/5Hvi8sU5S0qhSP9IzO0/l3d/Xv95PDfwurPrZN0PQRCEM0gq4A4ePIg+ffpgw4YNGDJkCC99BtFJ8ZIl1ZO1UG3W9vBrllOc2gg4GSxwXPHDgIHOYEmIfbTkKNseGT8SQZogjOs2DglBCez1rTlbJd+TmYL6AhwoPMD27+l3DwI1/CTRQZog3NXnLra/t2AvKprar/lMEAQhJ5IKOI1Gg8GDB3vdYkEQUuLtIAY5f56sXahynIHjWuCANiscAOhb9fij/A/2utktqVAoMCN1Bnt9V/4uGFolqs1qxf9d/j/2jwG1Qo1be90qOO7WdMv1VqYVP2f/7PaaBpMB686sw90/3Y0Zm2bgqd+fQmZZptvzEQTRNZFUwA0dOtRhSSeCkApPJvLtzHg6ChUAavVtkahZ1VloaW1hrw+Ps+RLnNJ9CttuNDbyhJ6U/HblN7Z9TdI1dkuWJQYnYmT8SLa/M2+nW+s1GBrwwLYH8Naxt3C68jQKdYXYkbcDc7bOwUenPnJrToIguiaSCrhnn30WBw8exK5du6ScliDaRU4rVWe2KHsiCtWeBS6rJou9plKokB6Rzvb7R/VHiDaE7R8sPij5vq7UXcGlmktsf1qqbU1jLpNTJrPtE+UnUN1sWybQEQzD4Lndz9m1tr2b8S6+Of+NS3MSBNF1kVTAzZgxA++++y5uvvlmLFq0CHv27EFubi7y8vIE/xGdAe+cgevMosqTqBV8F6ocZbu4QgywRKJmVVsEXPfQ7rzzdyqlCqPiR7F9OZL6cq1oaoUa1yZd63D8hOQJbNvEmLC3cK9L6/1w6QfeM6mhqbi77928wJE3j77J+7oQBEHYQ/L8BEOHDkW3bt3w5ptvYuLEiejZsyd69Ohh889eEXiC6Gh0ZvesdZJga0EnBWqlGsEaS0CTOZkvV6hwrW9mRiVYBNzZyrM8d6sUHCiyBC+MiB9hYym0pltwN94+DxcfdnotfaseazLXsP3YwFh8dv1nWDxqMd6Z+A77PaY36bHyKOWaIwiifST9bb1v3z5MmzYNzc3NAICoqCiKRCU6HZ3pw9U6SbBSKU/OuVBtKBt9arbAXam7wt7vGdbT5hlzLjagrTLDhaoLvGti0LfqcaLsBNsf022MU8+Nih/FCs/jpcedXu+HSz+gvKmc7S8euZitEXtt0rW476r72PQkh4sPY3/RfoxPHO/0/ARBdD0k/W394osvorm5GQsWLEBlZSXKy8uRk5Nj9x/RCfCSmLG2iskpqjq1Bc6qzqpcdVeDtEFsu9HQCKPJiNLGUvZaUkiSzTPpEenwU/mx/VMVpyTbz6mKU2hubWb73AAFRwyLG8a2C3WFKGkoceq5by5Yzrb1ieiDSSmTePfnD5rPCjoA+OT0J07NSxBE10VSAZeRkYEhQ4Zg1apViIiIkHJqguDh6WoIHWVtqbG2wMkl4ALVltxqDYYGlDWWoZVpZa9x876Z0Sg1uCrqKrZ/svykZPvh5p8L1gSjT2Qfp54bGjeU13fGCneh6gIuVl9k+/deda/NGc5gbTAvgfCRkiO4UHUBBEEQ9pBUwGm1WvTp49wvQoKQElmDGjqvAc7mzJtcdVeDNBwLnLERRboi3v1uwd0EnxsQPYBtS1lInhsJOjRuqNPBG5H+kUgNTWX7pytOt/vMzzmWnHH+Kn9M7T5VcNxt6bchQB3A9jde3OjUngiC6JpI+tt61KhRuHjxYvsDCUIknnShWkMWONfhCrgGQwOKG4p5a8YGxgo+1yfC8gdhfn2+JIEMDMPgTOUZtj84ZrBLz3Otguerzrc7fm+BJfJ0YvJE3teCS5hfGG7ocQPb35a7DQaTPAmMCYLwfSQVcEuXLsXJkyfx1VdfSTktQXiVTn0GzioK1bovFVwXaqOhkSfgYgNj7VrAekX0YtutTCtya3NF76VQV8hGwgJ8QeYM1gKOW9vVmpKGEl6uuWuTHacq+VPan9h2TUsNDhZJn/+OIIjOgaRRqHq9Hk899RTuu+8+bN68Gddffz1SUlLsRrZde63jX2YEQciLx87Aafhn4Li1RO1Z3wAgLSwNCihYq+elmktOn1ezh7Ur1lUB1zeyL9vWGXQobixGYlCi4FhrATYmwXG067C4YYgLjGMDPLblbms3Px1BEF0TSQXchAkToFAowDAMNmzYgA0bNtgdq1AoYDQapVye8Aodw50op1uzM1vgbNKIeOgMXFVzFdvnRl9aE6AOQFJIEvLr8wGAZ81yF66A6xbUDRH+rgVccQUcAFyqu2RXwB0pOcK2+0X2Q1RAlMO5lQolpnafii/OfQEA2Fe4DybGJNv7QhCE7yKpgLv22mspQz7R6elMeeBs0ojI5EK1PgPHLUPlSMABQK/wXhYBVy2tgOsf3d/l58P8whAfFM+mELmiu2J3LDfIgZuCxBHXJl3LCriq5iqcqzzn1j4JgujcSCrgqAYq4S3ktJJ15j9KPJUHjhtd2Whw3gIHAD3CeuD3/N8BAFfq7YslZ7lcc5lt947o7dYcqaGprIAraCgQHFPbUovculy2PzB6oFNzD4sbhgB1AJqMTQCAPYV7SMARBGED2eUJcXQQa1Rnigz1JNYWN0+4UBsMDTwB154LMzkkmW0X1hc6DBpoj3p9Pcqayth+Wph7Jf24qUTyG/IFx5ypOMPrD4xxTsBpVVqMThjN9g8VSV8HliAI38fjAq6yshLvvPMOBg507pcZQXibrnQGTo5aqABfwOlNepcscFwBpzfpUdZY5mC0Y3Jq+RVg3BZwYalsO78hX9Ctzq0cEe4XjqRg22oT9uDWgT1dcRr6Vr1b+yQIovMiz29rKxiGwS+//IKPP/4YP/30EwwGym1EiKMzuzU9ibXLVC4LHDeNiDWuWOCAtnxw8UHxbu0juzabbasUKnQP7e7WPD1Ce7DtptYmVLZUIg5xvDHcgIt+kf1c+p4dEjuEbetNepyuOG1TBYIgiK6NrBa4nJwcLF26FCkpKZg5cya+++476PV6DBkyBO+8846cSxME4QQ2aUTkygOncSDg/BwLuLjAOGiUGrZvDmhwB66ASw5JhkalcTDaPlwLHCB8Du5yreWsXc/wni7N3yeiD89qmVGW4doGCYLo9EhugWtpacG3336Ljz/+GHv27AHDMGAYBgqFAs8//zzmzJmDq65yLe8SQXiTzmzt81QQA7covTXB2mCHz6qUKiQGJ7IBAWIEXE6NxYXqrvsUaBOVaoUaRqYtFVJpUynvvtFkxJVaS8CFqwJOpVRhcMxg7C/aD6Ct5uqDAx90e78EQXQ+JLPAHT9+HI888ggSEhIwZ84c7Nq1C0qlEjfeeCNSU1MBACtWrCDxRvg8nSlgwlMuVH+Vv917wRrHAg7gu1EL6oWjPp0hrz6PbVtb0VxBpVQhLsjiMi1r5p/LK9QVQm+ynFtzRywOih3Ets9Wnu1U6WsIghCPqN/W1dXVWLNmDQYPHoyRI0figw8+QE1NDfr06YM333wTBQUF+OGHH5CYKJzkkugM0IeKL2NdJUUuC5xWpbV7z15tUC4JQQls21ylwFUYhkGRrojtJ4U4H1TQ3p64ka0AP1UJ4J6A6x9lSR1S1VwlKniDIIjOhygXakJCAgwGAxiGQXBwMO68807cf//9GDPGcbkYgvBlOpMlxFOJfP3VwhY4rVLrUNyZ4Vm73BQylc2VaG5tZvv2qic4C09UWrlQr9RZ3KeR/pEI9w93ef5+kf14/XNV53hfB4IgujaiBJxer4dCoUBSUhI+//xzXHfddVLtiyAc0plTe3gST9VCtSfS2jv/ZiYu0CJcShtL3SovVagr5PUTQ0QKuGCOBc7Khcqz9LmQPoRLTGAMogOi2bqx5yrPYULyBLfmIgii8yHKhTpw4EAwDIOCggJMmjQJgwcPxnvvvYfKykqp9kcQTuFJqxidgXMde2fgnHGfAnwLnNFk5OWRcxauqFJAwbOguYO1C5X7PVjUYFmLK/RchWuFO1t11sFIgiC6GqJ+W//xxx84cuQIHn74YYSEhODkyZN4+umnkZiYiDvvvBPbtm3rVO4mQgB6f30aT1ngNEqNoNXUmQAGAIgNjOX13TkHx7XAxQTGOOW6dUS3oG5su8XUgpqWGrbPFYvdgrvBXfpG9mXbF6suuj0PQRCdD9F/bg8fPhz//ve/UVxcjE8++QTjxo2DXq/Hxo0bccMNN6B79+44f/68FHslCLt05lQfcuKpM3AKhUIwlYjTFrhA/tmvsgbXz8FxBZy7bk0uUQFRvH5lU5vnwTpYgiv0XKVXeC+2XdRQxNZHJQiCkMxfEhAQgLlz52LPnj24cOECnn/+ecTFxaGgoIB1qY4bNw7/+c9/UFtbK9WyBAGgcwUWeBJr4SuXCxUA/NS2As7ZM3BBmiCEaELYvjsWOKmsYmZsBFxz2++5On0dGo2NkqyVFs6PXs2tzXV7LoIgOhey/LZOT0/HihUrkJ+fjx9++AEzZ86EUqnEwYMHMX/+fCQkJOCuu+6SY2nC43Q94dSZxKK1W1PO4BAhC5yjElvWcM/BuSPguNGr7pbi4hLhF8ETvOZgA65QBMRZ4LqHdue9J9a1XAmC6LrIWkpLpVLhpptuwubNm5Gfn4/XX38dPXv2RHNzMzZu3Cjn0kQnh6JQpcHaAudpARegDnD6ea7Fy50ghvKmcrYdHRDt8vPWqJQqhPuFs32zC9U6zYmY1B8B6gCeBY9bCowgiK6NrAKOS3x8PBYtWoSLFy/i999/x7333uuppQlCUjpTFKqNBU7Gs4RCAs5RiS1rIv0i2XZVk2sCTt+qR22L5ehGTECMS8/bgysqzS5U8/+BttfnbKCGPbgVI8gCRxCEGY8JOC7XXXcdPvvsM28sTRAEB+szb562wLkk4AI4Aq7FNQHHtb4BbVGoUhDlzxFw/7PAmf9vvi9WFHOrOOTUkYAjCKINrwg4giA6KDJ6pgUFnEBggz0i/CLYtqsWuPJGKwHnIQucdaCDO6SEpLDtgvqCTnUGkyAI9yEBR0iG2osfLJ3JrelJPBnEIJR3zV0LXHVLtUtrmwMMzHjSAieWxGBLxYgmYxMv3xxBEF0XEnCESCwf+O+XlEOjUEOpUGLVdavkXZXyvsmCnAJOo9TYXHP3DFyDoQEtrS1OP8t1oYZoQ1xa1xER/harYJ2+DoD0Fjjrkl/WJcEIguiaiKqFShDgCKmxzc3YMvIVmJJGSJJni5AfmyhUGYWxWmn768ZdCxwAVDdXO50OhOtClcp9CgCh2lC2XdfSJuC41j4pBJx1GpICXQEGRA8QPS9BEL4NCThCJPwP/HhtGNDJxVtnPoMkpwVOrIDjnoED2ixdzgo4rqiSS8DVG+rRamqV3IXqr/bnFbW3zjMnRGlDKdb+sRYZZRmI8o/CXX3vwvTU6aL3QhBEx4EEHCEtnVjcdAU8LuBcCGIQssA5C/fMXKR/pIORrsEVcABQ01LDulIB2z27S2JwIivgCusdu1ALdYW4b8t9rNs4pzYHx0qP4UzlGTw99Gk6fkAQnQQ6A0eIw+bDoPMLuM4UMGEj2GT8bBc6A+ev8nf6+RBNCNQKiwh0RcBxc8CF+YU5/Vx7hPrxBZy1dcxa4LkLN5DB0Rk4hmGwcM9Cm7QpAPDJ6U/wU/ZPkuyHIAjvQwKOkBYvWeA6k6jyJp4OYhCKTLWHQqFAiNZSD7VeX+/0s9zIzXD/cKefaw9rgVagK3B43124Z0odlRHblrsNJ8pPsP1+kf145creOPIGT8wSBOG7kIAjROIdC5w3S2l1ZrHoaReqKxY4AG4LOK5o4Za/Eou1QLO2jkkl4Ljn9qxLdXH58tyXbDs+KB6fXf8Zll+znL1Wr6/Hx6c+lmRPBEF4FxJwhDisXah0Bs6n8GQUqmAaERfOwAHuCTiGYWRzoXL3A7Ql2nV03124eevq9HWCKVQuVV/iWd/m9Z+HAHUAJqdMxvjE8ez1by58A51eJ8m+CILwHiTgCGnxkIDrzFYwb+JpC5yQqHMET8AZnBNw9YZ6tDKtbF9KC5xKqUKQOojtW7tQg7Xi6qCasY6cta4sAQA783eybT+VH27seSPbf2zwY2y70dhIZ+EIohNAAo4QSdcLYujMeDoPnNA1RwjlXWuP2mb+ma8wrXQWOAC8YvXcIIZAdaDLAtUesYGxvL5QkMLegr1se1TCKN7Xqn90f1wdczXb33hxoyT7IgjCe5CAI6TFQxY4b56BI9xD0AKnEGGBc9KFal16SkoLHAAEqixBAqUNlgADqdynABAdEM3rW1vgaltqcbLiJNu/JvEamzlm9Z7Fti9WX0RObY5k+yMIwvOQgCPE0RXTiHTic36ejkIVZYHT8y1wZY1l+Cn7J5Q0lPCu1+qtLHD+0lrg/NWWQAy9Sc+2pRRwWpWWJzytLXBnKs7AxJjY/thuY23mmJwymfce/Jr7q2T7IwjC81AiX0JaOrG46Qp42oWqUqpcmsOeBS63Nhf3br0XtS21UCvUeG/Se7gmqc0KxbXAqRQqhGikE1YAEKAKELwuVQSqmZjAGPa1WEeinqo4xbbD/cKRHJJs83yINgTjuo3DroJdAIDtV7bjr4P+KukevcGxkmPYmb8TjYZGDIweiBvSbkCAWvg9IYjOBFngCHHYRKGahMfJjCetYp05gEIp468EbhJe9pqLFjh7QQz/PPFPNtLUyBix8uhK9nuCe1YuVBsquUi1JxakCmAwww1k4JYGA4DTFafZ9oDoAXZf45TuU9j2heoLgsEQvoK+VY+FexfiL9v+gs/Pfo5NWZvwysFXcOv/3YrzVee9vT2CkB0ScITEdF5x0yWQ8WihoAVOIc4CxzAMmoxN2JG3gzfuSt0VnK06CwBoMDSw16UWVYB9Cxw3ga4URPhbasFan+s7U3mGbQ+MHmh3DmvX6qHiQ9JszsMwDIOFexfi5+yfbe4V6grx4K8PIrs22ws7IwjPQQKOEEnHyAPn0fqOnUijWp95k/UMnMr2DJyYNCImxoRGYyNOlp+E0WS0GXuw6CAAQGew5DwL0gTZjBOLPQEntRsvwo8j4Jpr2Hadvo53Jq5PRB+7c8QExiA9Ip3tHyg6IOkePcWGCxuw/cp2th+iCUFqaCrbr22pxbO7n4Wh1eCF3RGEZyABR0hMJ1I39ujEAbCynoGTwIVqbdVqMjYhoyxDcOzZSlsLnBwCjhvEwEVqAcdNQFzdYqkDm1ubyxvXI6yHw3nGJIxh2weLDnrk+IGh1SBZ8uDallq8l/ke248OiMbGmzbih5t/wJ/T/8xez6rOwqdnPpVkTYLoiJCAE8mWLVtw4403Ij4+HhqNBiEhIRg2bBhee+011NfbT3Og1+uxcuVKDBo0CEFBQYiIiMCECRPw7bffenD3EtBBKjF05shQT+LpRL6uulADNHxR1GhoRHaNsKtMSMBxc7ZJhVcscBwXam5dLttWKVSCAQxcRiWMYtuVzZU21SOkpKq5Ckv2LcHo9aMx5qsxuPmHm7E7f7eoOdedXceLQH517KtIDE6ESqnCi6NeRO+I3uy9T05/QrVfiU4LCTgRvPDCC/jTn/6En376CcnJybjtttswZswYnD9/HkuXLsWwYcNQWmpbeLqxsRETJ07EwoULkZeXhxkzZmDkyJHYv38/Zs2ahWeffdYLr8ZdvJRGpBNbwTyJTSktGb+w1mJNAYXLUajWFrhGYyOu1F1h+5H+kWy7SFeEltYWngs1UCPtuTTAcwIu3D+cbdfr62EwtbkHufnckkKSBF3VXAbFDOL1ueW3pKS8sRxzt87F5sub2fQq2bXZeGznY/gu6zu35tS36vHtRcsfuWO7jWWjjYE2N/2SUUvYfr2hnlcfliA6EyTg3CQzMxNvvvkmNBoNfv31Vxw9ehRff/01fv31V+Tm5mLQoEHIysrCyy+/bPPs4sWLceDAAQwcOBBZWVnYtGkTtm3bhkOHDiE4OBirV6/GTz/5aKkbL0WhEtIgpwtVqeT/unFVvAECAs7QyLNAcWt+MmBQWF+IRkMje00WC5wdoSa5gLNKQGy2LHFdqNxzYPYI8wtDz7CebP+P8j+k2B4PE2PC83ue5703XJYdWoZzledcnnf7le2oaq5i+/cPuN9mzNC4obxgjW8vfsuKXYLoTJCAc5OdO9vqDk6dOhVTp07l3YuJicHzzz8PADh48CDvXnV1NdauXQsAWLt2LaKjLRnWhw0bhhdeeAEA8Prrr8u2d2mxsrh5ypVJHlOfw9oC56r7FLB1oebX56PJ2MT2rSsQ5Nfn8yxwcgg4f5WdM3AaeQWcOZChuKGYvZYUkuTUXINiLVY4OQTctxe/xbHSY2x/RPwIPDn0SdbCazQZseLICpePPnCjTnuE9cDI+JGC4+676j62Xd5Ujl35u1xahyB8ARJwbuLvL/xL2xquQAPazszp9XqkpKRg3LhxNuNnz54NADh06BCKiops7hOElHiyJJl1jjmlwvVfP9ZWLWsLT9/IvrxI1fz6fPmDGOwJOKnPwHHSiACWc3CljZZjGvGB8U7NNThmMNu+WH2RZ6UUS7OxGR/88QHbTwxOxJpJa/DgwAfx4MAH2esZZRlspLAz1OvreWlPbup5k12L8dhuY5EYnMj2f7z8oysvgSB8AhJwbjJlyhSo1Wps374dv/32G+9eeXk53nzzTQDAX//Kz3SemZkJABg+fLjgvGlpaYiMbDvHc+LECYl3LQPWf0F7ygJHZ+BkQc5gEGvB5o541Cg1vNQjeXV5vPsxgTFICEpg++VN5bzoRzkEnFapFbwutwu1pqUGhlYDKpsq2WtxQXFOzcXNFWdiTLhYfVGSPQLA95e+R1mTpVLE8yOeZ7/uDw58EFH+Uey99efXOz3v3oK9PFfo5JTJdscqFUrc3PNmtr+/cD9PyBNEZ4AEnJv06dMHa9asAcMwmDp1KkaOHIm77roL06dPR2pqKsrKyvDhhx/ijjvu4D2Xk9N24DglJcXu3ElJSbyxvgX5Nn0J66oScp6Bsz7z5o4FDuAHIuTX57PtAHUAAtWBvMLvFU0VaDRarEuyCDiVHQFnJ7hBzDpcUVjbUouypjLeexgf5JwFLjUslSc8papcwDAMNl7cyPb7RfbDxOSJbD9QE4g7+lh+J+4p2GNTFsweewv3su20sLR206VM7W452qI36bGnYI9T6xCEr0C1UEXwt7/9DWlpabjvvvtw9OhRHD16lL03c+ZMQSubObVIUJD9D5Lg4LZzOnV1dXbHWGMWfUIUFxcjJiYGZWXO/aJ0hXC9HtyPr9raWrTIsI41jQ18l09lZSW0TcIfpFLDmBhZvpb2kHMt61Q3NdU1KFPKs15dLf/7mWHc+zr6KfzY9pVaSwRquCYc5eXlCFJYfrYKagp4Z+Ram1ol/3q2NLYIXm/WNUu+VqAqkH09JdUlOGfiBwKom9ROr9kjpAcu1F4AAJwoOoFJkZNE7+98zXlkVWex/RsTb0R5Ob9c13WR1+Hf+DeY//33w5kfcEv3WxzOyzAMDhcdZvtDI4a2+zpDmBCkBKUgr6HNSrslawuGBQ1DTU2Nay+K8Dqd8T0zmUw2gV2u0iUtcM8//zz69u3r8r99+/bx5nnxxRcxffp0DB06FEePHoVOp0N2djaWLVuGH374AWPHjsWvv/7qpVfpHRQUherTyBqFKsEZOIB/5qyx1SLkza65SK0llUhhYyHv2UCV9GlENArhtB32zsaJIUhtEaeNxkZUNFtqoiqgQJRflNBjgqSFpLHty3WXJdnf9iJLdYRAVSCujb/WZkyMfwz6R/Rn+7uL288LV9xYjPJmixAcFDnIweg2FAoFxsRakhafqDwBE/1+IjoRXdICV1RUhAsXLrj8nE5nOUvz5Zdf4vXXX8fVV1+NH3/8EWp125eyR48eePHFF6FWq7Fo0SL87W9/Q1ZWFlSqNvdRSEjbAeuGBvvnMczrhIaGOr23ggL7yTiTkpJgMpkQGxvr9HxOo+F/C4WGhiBUjnWsmKWehW9yvmH7/ZL72XVlSY1SqZTna2kHOdcKquRbgsPDw2VbL7I1ktdXKVVurRXqHwoI/PgkhCYgNjYWKeUpwP9OH5Q28fMwxkfHS/76ouqFRVNCTAJiw6RdKywgjH3tJo0JLRqL9S/SPxLd4rs5PdfgboOxtWArACBXl4uo6Ci3UruYYRgGhyosQQYz0mage7fugmNnps/E6SOnAQBnas4gMDzQYZ3afVmWP54VUGBSn0kI1bb/+3GycTL7e6JGX4NaTS0iwtuCQTz5M0xIQ2d6z8Ra34AuaoH74osvwDCMy/9mzJjBzvHpp58CAGbNmsWKNy7maNKcnBxkZ1syxaempgIA8vLybJ4xYxZj5rE+hYeCGPpE9sFzw5/DmIQx+Oekf3pMvHV2ZD0Dp5DmDJy99BzmQ/5RAfatUH5qP7v33MVeEIMc35PcNCgNhgZeRYbIgEiBJ+zTN7Iv225ubeYlRHaHC9UXUNJQwvYnJdt3yY7rZonAb2Va7ZZDM3Oi7ATb7hvZ1ynxBgBDYofw3h9uFCtB+DpdUsBJgVmA2bOShYVZ6hZWVVkSTw4dOhQAcOzYMZtnACA7O5sdP2TIEEn26lk8F8Qwp/8c/Gfaf3Bd8nUeW5NwH3cFmzX2ojvN6UMcfbhLHVgAwG7lA260rFRwrVQ6gw7VzZaaqNxSW87ALWoPAJdrxblRubnW/FX+vJJd1nQP7Y7YQIs15XDxYbtjAX6QBTeCtj381f4YEmf5PXqk5IjTzxJER4cEnJskJrblGDp8WPgXz6FDlr/0uJa0G264AVqtFnl5edi/f7/Nc+vXt4XVjx49Gt26Oe8O8RreSiNCSIJ12hBPltJyFz+VsBXNLOC4eeBsnvWkBc7OdTFwLXA6vY5ngbNOM9IeIdoQxATEsH1uRQd3OFB0gG2PThgNf7X9M4AKhQKj4i0Cj5v01xp9qx5ZNZbAiH5R/Vza17C4YWz7ZPlJqptMdBpIwLnJ7bffDgD46quv8PXXX/PuZWdn48knnwQATJ48GXFxltxMERERmD9/PgDgkUceQWWlJYdTRkYGVq5cCQBYsmQJfBP65ehLeDKNiPXc7n6Q2nNNmsWNIwucPfEnBk+6ULlpUGwscP6uWeCAtnQiZrg1VV2l2diMUxWn2P6YbmMcjG5jcOxgtn2x+iL0rXrBcZdqLsFoMrL9fpGuCbiro69m2zUtNShuLHYwmiB8BxJwbvLwww9j5syZYBgGd999NwYOHIg77rgDEydORP/+/XHhwgUkJSXhP//5j82zy5cvx5gxY3Dy5Emkp6fj9ttvx/XXX4/Ro0dDp9NhwYIFmDlzphdelTtYW+AoyosQxtoCZy0encWeYHLGAidHZKi9/cjhQuW+Np1BnAUOAHqEWnKp2atb6gynKk7xRBbX6mWP/lGWSFSjycizsnHhuk/VCjV6RfRyaW8Dogfw+mdrzrr0PEF0VEjAuYlarcbmzZvx2WefYcqUKSgpKcH333+PY8eOoW/fvli6dClOnjyJtLQ0m2cDAwOxa9cuvPHGG0hMTMSWLVtw8OBBjBkzBhs2bMDq1au98Iokogu4J+S0UnkaT7pQrc/AuS3g7Fi2vOVCVSlVguf71Erpg/x5QQx6fhCDOxY4bjLcnNoct62iXBdoqDbU5nydEOkR6byv0dlKYWHFrRKRFp7mshU1zC8MqaGpbP9c7Tn7gwnCh+iSaUSkQqFQYM6cOZgzZ47Lz2q1WixcuBALFy6UYWcexOYXfucXcJ0Jd0WUO9hY4NwUC+2dgfNT+UGj1PDKLgFt1hs5rGJAmxWuubWZ7WuUGlmEPjeIoU5fB73J4nZ0xwLHdaHqDDpUNFUgJjDG/gN2OF56nG0PjRvqVMCKVqVFeng6zlW1CaozFWcwq/csm3Fcy2BamO0fxM5wdczV7DyX6i65NQdBdDTIAkdISxewwBHuIVUUqj0BZ7ZOKRQKQSucHNY3M9ZuVLnS2nDLiDW3NvMS07rlQrUqR+WOG9XEmHCm4gzbHxo71OlnualMsmuzBcdwq21wBacr9I7ozbZz6t23NBJER4IEHCESssB1JmStxOAhF6p124wcAQxmrC17ckSgAkCg2n4lCWdzo3FJCErgfV3cEXAF9QXQGSxJzrln29qDa1ETCqLQt+pR1FDE9ruHCicGbg+uS7fB2ICyZs+VwiMIuSABR0gL/WXr03jyDJy7Wt+eEOPmhxPKFSdHAIMZ6/NucrlqHb0GboSqsygVSiQGJ7L9wvpCB6OFOVvFP7vWN6qvnZG2cC2ANS01vKhaAMivz+dZGbln2VyBa4ED2qxwBOHrkIAjxEF54HwaT7qSrM/AmeBexLI9C1x7Ak5OF6paYSXg7CT3FYuj3Gpc96ordAu25Jss0hU5GCkMN/ggKTjJJUugtQvX2gpnbRF01wIX5R/FS3RMAo7oDJCAI0RCLlRfxiYPnCejUCXMA6eAgmf1ErJUyWmBsxanslngHAg4boSqK/AscDrXLXDnKi1Rna4m2U0MTuR9rawFXH5dPtuO9I90GGHsCIVCwXOj5uhcE3CNhkacqzyHyqbK9gcThIegKFRCWsgC59N48gycuwi5UP3V/ry9C7pQHYgfsVgXgZcriMFRKTB3LXBJwUlsu0BX4NKzDMPw8rRdFXWVS8+rlCqkhKSwZbzy6vk1oksaLbVVuwWJq0yTFpbGltIqbHBOqDIMg49OfYQPT32IJmMTAGBa92l4acxLCPMLa+dpgpAXssAR4uiCaUTktFJ5Gk+mEZEziMHauiYk1uQMYrC2wMkVxGBPhAaoA9wWyFwXalVzFStUnKGquYqXi876rJmr6xfr+FUSuP34oHiX5+bCdb8WNjon4N7NeBfvZb7H+5r8euVXzPtlHur19aL2QxBiIQFHSAtZ4HwKn6yFqrQVYtbn24QscHJZxQDvn4Fz130KAIkhiby+K+fgrFN/WJ9pcwbeGbwG/tpcC5xYAZcSmsK26w31qG2pdTg+ozQDH5/+WPDepZpLePnAy6L2QxBiIQFHiIRKaRHOIZV7VtCFamWBExJw1iJLSrxtgXMnAtUM14UKuHYOjntmzU/l55abMyEogW1bW+BKGqQTcMkhybx+Xl2enZFtf9i8dfQtth+gDsCb176JQTGD2Gvbr2zHnoI9ovZEEGIgAUdIDFngfAkbN6YHvcPuWvuErFvWwkZIwMllFQNs04jIUUYLaAuOEBKiYgRcqDaU93xBvfPn4LgCrntod5uzgM7AFXDlTeUwtLZV0NC36lHVXMXeEyvgEoMTeW5m6/N2XP4o/wOnK0+z/b9e/Vdc3+N6/GPiP3gJk98+9jYvzQlBeBIScIQ4KI0I4STWgs1di5yQOLK2yglZquQSVYCtBU6qgA0hhF6bGAGnUCh4IorrtmwProBzx30K8F2oDBjW6lbaUMobJ1bAaVVa3ut0JOA2XNjAtkO0Ibi7790AgOiAaDw+5HH23uXay9hbsFfUvgjCXUjAERJDAo4QxlqwuWuBE7JAOWWBkym1B2Ar4KQ67yeEkIBzVKHBGeIC49h2WaPzVQq4As7dOqVcUQUAxQ1tblRrIRkfKE7AAUBSCCfi1o6l0WAyYFf+LrZ/c8+beRG+t/a6FbEBsWz/87Ofi94XQbgDCThCJGSB82U8GVFrY4FzV8AJWNKsz8AJnZOT0wJnPbc7rkRnEcxxJzJFSmygRZA4K+CajE28oAN3LXBRAVG874XK5rZca9Y516ICotyanwtXLFpb+MwcKzmGeoMlwnR66nTefY1Kg3uuuoftHy457FYCZIIQCwk4QmJIwPk0Mr59NoLNTe3ojAtVyNrmSQucp12oYiNs3RFw1mW33K2SoFaqeefKzMKNe/4t3C9cEgHOdcOWNgoLuL2FFpdopH8kBkYPtBlzU8+beO/5j5d/FL23jgDDMKjX18NgMnh7K4QTkIAjxGFzBq7zH+jtTHngPIlUUahOCTiBgAVZLXBWbl05XahCQlRslQlrAedMlQzraFVuRQdX4VrXzBY4roCL8I+wecYduK7ikoYSwdeZWZrJtsd0GyNoTY0OiMa4xHFsf0vOFkn25y0YhsE357/B9d9dj7FfjcXoL0fjud3PkWWxg0MCjpAWcqH6Nj4QhSp0Bs7aAiWUxsOjZ+BkdKEKWdvEWuC4wqbJ2MRzIdqDW7UhRBMiqjIBV8BVNFUAAK+wfaR/pNtzc+Fa4Jpbm1Gnr+PdbzI28SpLDI0daneuG3rcwLaza7N5Zb98CRNjwov7X8Rrh19jRbnepMcvub/g7p/v5tW6JToWJOAIkXS9SgydGjldqNZBDBJGoVpfExJrskahKj0XxCD02sRWmeBa4ACgrKF9NyrXOsONJHWHKH+OBU7AhSqVgOMKVYCfZw4ATlechpExsv3BsYPtzjU+cTzvfd5VsEuSPXqaD/74AJsvbxa8V9Vchcd3PM6KaqJjQQKOEIeNC9U72yA6PnIGMdgIOAEXqpwWOGuroJxn4ISsbdaVKFzFRsA1tS/guC5UMe5ToH0XqmQCLogv4KzPwXGtTcGaYPQK72V3rjC/MAyJHcL2d+fvlmSPnuRi9UV8cPIDth/pH4lXx76K61OvZ6+VNZVh+eHl3tge0Q4k4AiJIQXnS8hZvN5mLTkFnJWAEnKhejIPnK9Z4CL8I3hfH2cCGTxpgZPqDFyIJgQBKkuKGWsLXFZ1FtvuHdG7XSE+IXkC284oy3CpjmxH4K2jb6GVaQXQ9jP0/uT3cWv6rVhx7QpMTJ7Ijtt+ZTsOFx/21jYJO5CAI0RCaUQ6E3IWt/eoC9XTFjjrNCIyCjhBC5xIAadUKHm5zZwRcNwzcNz8au7AtcCZz77JYYFTKBSI9o9m++VN5bz7l2ousW1H1jczoxNGs22DyYCT5Scl2KVnOFN5BoeKD7H9+/rfhwHRAwC0fT+8NOYlhGhC2PtcSx3RMSABR0hLF4hCJdxDquhdIXHk7TNw1q9NTheq0OsQG8QAANGBFmFjnYPNmjp9Her1lkAHd2qgcgnVhrJtvUmPBkMDL8BAKgscAIRrw9k2N1DCxJhwueYy2+8V0b6AS49I5wVvHC05Ks0mPcC6M+vYdqA6EA8OfJB3PzogGvcPvJ/tHy05ilPlpzy2P6J9SMAR4rCxuHV+C5wn3Y6dCam+bs6IM0/ngbMWbHJGocqRRgTgW7m41i8hrIvOi3WhcgUcAJv0Fdb3xcAVcNzXWVhfiObWZrbvjAVOqVBieNxwtn+s9Jg0m5SZen09frvyG9v/c/qfBb/Gd/S5g1embVPWJo/sj3AOEnCEtJALlbBDZw5isBFwHnahSmGB455Da0/AWbsexdYpDfVzLOC4rjyxRPhZrHlcS+OV+iu8cc6WBhsRP4Jtnyw/iZbWFpE7lJ+deTuhN+nZ/qzeswTHhWpDMTNtJtvflrsNzcZmwbGE5yEBR4ik61ngCPeQ6gycQqGwEUjW4szbLlRfC2IAXLPAlTdaBJxWqRVtIbN+3jpJcIhWOgEXprW4PLmvkysaA9QBTp+74+aKM5gMvDxyHZWtOVvZdp+IPkgLty9Wb+55M9vWGXS8OrGEdyEBR0gLWeB8Cmvh4UwGfqnWEnMmzlogdTQXqqxpRAQibD0t4LhBDjGBMaLd4+0JuGBtsKj5udhzoXKDMhKDE51+Tb0ievG+/qcrTovfpIw0GhpxuMQSUTqjxwyH4wdED0BqaCrb35m/U66tES5CAo4Qh83nPQk4QhgpS5C1J9iEXIqd5gycgHtYChcqV8BVN1ej1dRqdyzXhWqdQ84dAtQBvPfUxoUqoQUuQmtxodbp69i6n9w1Xclrp1Fq0DeyL9s/U3FGgl3Kx7HSYzCaLMmKJyRNcDheoVBgYoolpci+wn1UK7WDQAKOkBaKQiXsYVPL3n1BZy3gnLHAySmqPOlClatMWGSARcAxYFDTUmN3LM8CFxAjem2FQsGzwnEtcBqlRhILoxmuBQ4AapprAIjLa9c/qj/bPl0pjwWOYRj8ePlH3LflPly/6Xq8sOcFXKm70v6DVhwsOsi2YwNi0TO8Z7vPcEVevb4eJ8pOuLwuIT0k4AiRUB44wjnktMA5k4dNTremJ12oQhY4Kc73WZ/54qbYsIZ7Bk4KCxwAuwJOSusbwD8DB1jcqGIqS5jzpwFAbm0udHqdiB3awjAMXj/8OhbvW4wT5SdQoCvAlpwtuPvnu122+HFzv43uNtopV/GgmEG8dCncOQjvQQKOEEcXTCNCuIfNeTsR3ys2Z+CsKjEIWdvkFFXeDmKQYj1rAefoHBzXhRoTKN4CB/AjUbk54II10p1/A2wtcNUt1dC36nmvNyEowaU5+0dbLHAMGJyrOidqj9Z8c+EbfHPhG5vr9fp6LNi1wGnBWNtSy0tWzE1E7AiVUoURcZZo2+Olx516jpAXEnCEtJAFjrCD9V/6UlZ9sLZACYk1OQWcTSktGd21QtY2KVyo4X7hvL49AWdiTLzi5lK4UAEgSB0keF1qCxw3rxkA6PQ6m8TF0QHRcIXuId15ufi4IkksZY1l+EfGP9h+iDYE47qNY/tFDUX45MwnTs11ppJvrRsUM8jpfQyLG8a2T5Wf8ol0KZ0dEnCESMgC58tIaRVzeS0RYt9kddbSGReqnFYxa3Eq51rW1kZAGsGoVqp5Is5cVN6aquYqtn4mIJ0FLlATKHhdyghUoE3scsVWvb7e5rW6KuBUShXvLNmlaukE3H9P/xcNhga2v+raVfjXlH/xEgh/fvZzntXSHtxKCmF+YUgOSXZ6H1wBpzfpO3y0bVeABBwhLWSB8ynkFGzWSFnBwnrf3rbAebKUllJpO7dUOe64JavsWeC41jdAOgtcoNqOgJPYhQrwrX11+jobCxy3NquzcCs3SGWBq22pxXdZ37H9ad2nYWziWCgVSiwYtoC93mRswtbsrUJT8OCKrgHRA1z6mewd0Zv3XmSWZTr9LCEPJOAIcVgLNhJwhJOIEY9cCxDgnIDxqAvV0xY4idbjWuDqWoQtOtbCjlvBQQz2LHAB6gBJ5ufCFSJ1+jqeKPVX+dsVk45Ij0hn21k1WZLkVPy/S/+HJmMT23/o6ofY9sCYgbg6+mq2/8OlH9qdjxshOzB6oEt7USlVvGhbX0hY3NkhAUdIDAk4X0LKyFBv4oyA6SwuVCF3qVQWOG4kqD2XHDc6ValQ2pTBchd7Qk0WAae2CDhrF2pUQJRb1mKuBa5eX89LteIuW3K2sO1hccN4+eYA4Jb0W9j26crTKG0otTtXdXM1T6j2i+zn8n76RVmeOVcpbaAG4Tok4AiRkAWOcA8xFgp3XJZSunCtUVr9KpV1LYHXKlWSYmcEHDc/XLhfuGSWTXtWL3+1v+B1MXAtcPX6ep4L1R33KcAXcIB4N+qVuiu8oIMb0260GTMxeSLvZ2Fv4V67812uuczrW+/XGbiiL68+D/X6epfnqG2pRbGuWNaqL10FEnCEOMqtzej0Q+nLePJMnJRrOWNJ9KQFTk4BJ6cLlZvryxkXqnXkqhjsuVC5AQdSYW2B41qm3HUJxwbG8iJmrQWTq2y/sp1tq5VqTOk+xWZMdEA0zxW6t8C+gMuuzWbbfio/l3PdAcBVUVfx+q64UUsaSjD/t/kY//V4TNs0DdM3Tccvub+4vAfCAgk4QlroryqfQk6h4UmcsQJ5MpGvnK5pb7tQzZULAH7Qg1g86ULlphKp19ejVl/L9t19TQqFglczNK8+z+39AfyKCaPiR/HENZcx3caw7RPlJ+xatrgWwR5hPdyKXE4JTeFZSp0VcKUNpbhv633YV7iPvVbcUIzndj+HdWfWubwPog0ScIS0dIFSWp3l3Bggb/H6dteW0ALndQFn7UKV8XtE6HVIlXeOe56ttqVWcEx1i+UMXISf/AJObhdqnb6O5wrkilhX4ablyK/Pd3ueRkMjMsoy2P7YbmPtjh0SO4RtVzVX2RWO2TUWC1xaWJpb+1IqlLx0Kbm1ue0+wzAMlu5fipKGEsH7q46t4olVwnlIwBESQxY4sdzR4w62PTJ+pBd3Ii+ePgMnaxoRL7tQha65g7UFTug94gYxhPuHS7Iu4MCFKoeAs3Khct3FYhIHdw/tzrbdqVNqxrrgvCMBd3XM1byfB3vpPbguVGfqn9qjR1gPtp1Tl9Pu+N0Fu3Gw2CLQxieOx6KRi1irMQMGfz/4d0oM7AYk4AhpIReqaO7peQ+uT7oeU7tPxavjXpV1LW+6UD1tgZPzDJwnXahCr1Wq95HrpmtlWtFobLQZww1ikNICZzeIQYYzcNy1Go2NqDdYLHBiBBzXAlfcUAxDq8GteQ4XH2bbsYGOC86HaEPQK8ISkCCUYLfZ2Mwrf5YSmuLWvgC+gONa9ezxn5P/YdvRAdF489o3MbvfbDw3/Dn2eqGuEF+e+9LtPXVVSMAR4gizzuRNAk4swZpgPDvwWbw94W23Dhp3RZwRMJ6MQpUTOct0WbsPhdyoXAucr56B44rCJkMTz4UqlQXOxJhQoCtwa56T5SfZ9rC4Ye1+7/aNsKQXyarOsrlf1FDE6ycFJ7m1L4Av4CqbK+262gHgQtUFnKqwVH94YMAD7Nf3rr538YIi1p1ZB32r3u19dUVIwBHisD7zRhY4n8ajZ+IkXMoZAdWZo1Clwjqnm3Ugg4kx8S1wEgo4jUo4FYocLlSugDMyRl5pNjFn4FJC+JYtd87BGVoNOFt5lu07U6+0d0Rvti2URLiwvpDX7xbczeV9meEKOADIrcu1O/bnnJ/Ztr/KH7em38r2lQolnhjyBNuvbK7Ez9k/g3AeEnCEOGw+8EnAEc4hxoVqLZC8fQbO2y5UqbAWL9apROr19bwqGFK6UP2UfoLX5XChBqjsW/XECLhw/3De8+6cg7tYfRF6k8US5YyA41aBqNfXo7SRn9C3SGexwAWoA0S9b8khybw/huwFMjAMg20529j+xJSJvOhfoO1sHzcf3bdZ37q9r46E0WTE2cqzOFF2Ao0G22MIUkECjhCJdSLfzh+FSkhDZ4pCtRZsslrgJEoZIkSYlp+qgpteA+CffwOkzQPnpxIWcLK4UB1Y9cS4UAG+Fc4dC9wf5X+wba1Siz4Rfdp9hivgAFs3aqHOYoFLDE4U9f2pUWoQHxTP9q3ds2by6vN496Z3n24zRqFQ4K4+d7H9k+UnkVcnLv2Kt9mWuw0zNs3AnT/difu23oeJGybiPyf/g1ZTa/sPuwgJOEIc5EIl3ERKd21XCmKQ83VoVBqeYBKywHGRqoyWeW0h5HahWiNWwCUEJ7Bte6kzHMENQugX1c/u14VLTEAMQjSWfVunEuGexRNz/s0M92wu17rH5VDRIbatUqgwMkE4on566nTeHyU/Zf8ken/e4ouzX+DZ3c/yLKCNxkasyVyDRfsW8Vz1UkACjhBHF3Shdpbkt50JZ94TT1rg5ESplPfXNlcI6Aw63j1rAccdKxZ7FjitSivZGmYcuVC5OeLcISHIIuCKG4pdfv5i9UW2bV35wB4KhQJJIRZhVlDPD54o1ln2Ieb8m9Ac3Lm5HC6xRNIOiB5gVxiH+4fjmsRr2D63AoUvcbj4MN48+qbd+1tztvIicqWABBwhDhsLnHe2QfgeUrpQnbFKySngrPHVIAaAn4+twdDAu2ct4IK14sQOF3tCTauUXsDZs8ApoBDtsuWJGxcFnNFk5OVrs3aNOsJREmFuCpHYwFiX9iREtyDLa+S6Z7lwI2nby2c5tftUtn2p5pJdq15HRd+qx8sHXmZ/p6mVarw69lV8OO1DRAdEs+M+OPmBYJSwu5CAI0TS9SxwnYnOUlXCmShUjyby9dEgBoBvgXIk4ALVgZKex7Mn4JxxIbqKPQEXoA4QLb6558NqW2pdOsSeV5cHg8mSOy493HkBx7XAcQWciTGhsqmS7ccExjg9pz24IrWkocTmfFdFUwXPjdg/ur/D+cYnjud9X+8p2CN6j57kq/Nf8YTss8Ofxa3pt2J0wmi8N/E99g9Mo8mI9zLek2xdEnCEOKxdqHQGzqfwZPF6KXEnaEDWNCLW+/FwLVQp4UYKWgs4rktVSusb0GZZFPq6aZQyCDg75+qkCJjgulAB16xwF2su8vrcCM324FrgCnWF7Hmr2pZaGBlLVYdo/2ibZ12FK+CMjJFn4QPAS4MCAP2jHAu4CP8IXB19Ndv3JQFnaDXgk9OfsP1+kf1wd9+72f7AmIGY3W82299VsAtnKs9IsjYJOEIcNi5UikIlPI8zVilPnl30ZReqIwHHzQsnJt2GEAqFQvAcnBwCTqVQCa4lRcCEGAHHda91C+rmkkjmCriW1hZUNFUAgI24ig6UVsABtq+RK+Ai/SMRFxjX7pzXJl3Lto+VHuNZIjsy269sR2WzxcL5+JDHbX4fPTjwQd4fB1+f/1qStUnAESIhFyrhfbwdherRIAaZXaiOBJxUFQvsIeRGlUPAAcLWNikscOF+4TwXrSsC7lL1Jbbtyvk3ADYiqbyxTbhVNFbwrscEiHehWs9hXssMV4j2i+rn1B80I+JHsO0mYxPOV54XuUvPsOHiBradGpqKcYnjbMZE+kfill63sP1fcn6RxPtBAo4QB7lQfZpOcwbOy3ngrPHlM3AOXah6jgtVZLSmENYCTqlQyuYyFrK2SSHgFAoFL5WIvShNIbiJf9PC0lxa1zo4oayxDABQ0WwRcGqlmlfv1l20Ki1vHrO1zwy3OoOzr6N/VH/e1/9Y6TFxm/QAZY1lyCjNYPt39LnD7s/n7b1vZ9vNrc1oNjaLXp8EHIAtW7bglVdewY033ohu3bpBoVBAoVCgoKD9OnZ6vR4rV67EoEGDEBQUhIiICEyYMAHfftt+RumNGzdiwoQJiIiIQFBQEAYNGoQ333wTBoNvmI4BdMk0IkTHw9sCzpPu2c5sgbN2a8plfQOEo1ulShrMdaM6mwvOxJh4wQeuFpwP1ATyRLXZdcq1jkX5R0n2/cM9S8cVcCbGxEvGmxqa6tR8GpUGV8dYzsEdLz0ufpMysyNvB2tJU0CB6am2yYrN9I7ozTsL2NLaInp9eQ9T+AizZ89Gba39grz2aGxsxNSpU3HgwAGEh4djxowZ0Ol02LlzJ3bv3o1nnnkGq1atEnz2qaeewrvvvgu1Wo1JkyYhODgYO3fuxAsvvIAff/wRv/76KwICpM9ALjldMJFvZ7FaeRsxiXyt3Q/OvCeetMD5MtxzV9Z54Lhn4OQQcNaCTVYBJ+CulSppMNfFaH0GzR5ljWW8ElrWdVWdWjcwBrpaHTsfwBdXUrhPzUQHRuNy7WUA/NdY1liG5laLdclZAQcAw+OG43BxW/64jNIMmBhTh/655easGxI7pN0ULVO6T2EDGPSteodjnaHjfmU8yJ///GcsX74cv/zyC8rKypx+bvHixThw4AAGDhyIrKwsbNq0Cdu2bcOhQ4cQHByM1atX46efbLNK//DDD3j33XcRHByMw4cPY9u2bdi0aROysrIwcOBA7Nu3D0uXLpXyJcoIWeAI7+PtM3BSVpVoD7k/0ALVljxw1ikwuILOE2fgPC3gpLLAcXN/WbsX7WFdQspVCxwAxAZYBIRZwHHLn0UGRLo8pz24YpD7GnNqc3jjuod2d3rOIbFD2Ha9ob5Dl9VqNDQiszST7U9OmdzuM9wxdAZOIv773/9i0aJFmD59OmJinPsLpbq6GmvXrgUArF27FtHRlh/YYcOG4YUXXgAAvP766zbPLl++HACwcOFCDB06lL0eHR2Nf/3rXwCAf/7zn25ZBT2OzRk4ikIl5MdaMDkVhdpJLKey54HTOpcHTg4BZy2yfdWFys215rSA45S/0iq1biXc5a5b1tQm4GpbLJ8j1rVuxWBPpHJFV4A6wKXXYV15Qqp0G3KQWZbJS88iFLxgTY+wHi5ZJNuDBJybbNmyBXq9HikpKRg3zvaNmz27Le/LoUOHUFRkySpdWFiIo0eP8sZwGT9+PJKTk9HS0oItW7bItHsJ6YIuVML7mMD/vutoaUR8mSC15Qyc3qSHodVyJlduAWfjQpUhia8ZQReqgxqprsAVNzUtNbyvoT24Ai45JNktoc6ziv0v+rRWzxFwEgQwmLEn4LhRt4nBiS793IVoQ3gCxzqfXEeCWyosyj/K6WCNUQmjJNsDCTg3ycxsM50OHz5c8H5aWhoiI9vM1SdOnLB5LjIyEj169BB81jyneWzHhlyovoyvihp3LHCdBdmDGLRBvL7ZCscwDM8iJ0cUqnXEqcddqBrpXagAeHnC7JFfZwlgSA5NdjDSPuH+4Wzb7Dqta+Hk7vOTLncfVyxWNVex1RhKGi1BG3FB7ed/s6ZfVD+23ZEtcEeKj7DtkQkjnf5dyk2XIpau81tPYnJy2vz8KSn2zykkJSXxxjr7XHJyss1zHRaywBFewJ0ghs6CM2XDxMC1wAGWc2/Nrc28rzv3rJxUWJfmkrJUlzVCLlSpLHDt5UkTghuByk3K6wrhfuFs2+w6lcuFyhWLJsbEWmdLGywltOID460faxdupOa5ynM2Zbo6As3GZpyvsuSpc0WUSSngFIwnT9/6CGYlnZ+fz4owa6ZNm4bt27djyZIleO211wTHjBs3DgcOHMDy5cuxaNEiAG3n35YsWYJx48Zh3759gs8tWbIEy5cvx7Rp07Bt2zan9mxvn0Cb21apVCIuzvW/htpDqeOHyDNqfzCcH+zOQnmz5RewSqFCpJ90h4GtMZnaRLFSKf/fV03GJuiMloPp4dpwWa0e3K+jAgq3y/pUNFfwxES0f7SNiOOuBQAx/tJF4HExmUzQm/SoN1rci6GaUMFM/5Ksx5hQ2cK36Ej52lqZVlS1VLH9CG0E1Eq1zbpyfK/U6mt5kZhqhRoRfhGSrmH++dK16mxSOQSpgyQRpgzDoKLF4lZ05vuhsrmSPRoQrA526zxeS2sL6gwWi1u0XzQqWyrZn5UQTYhkItVoMqJaX832I/0ioVKoUNVShVamTXS58/U0mAyo0dfw5lUwbT/bnvid6AzWezT/jDhLdUs1mquboVFroNe7H43q02lEnn/+eWzevNnl5z766COMHz9ehh11XEwmkzzf/KH8kiqK//3rbDhTCkYqSkvb/oJNSEhoZ6R4grRBNi4zOZHq6+jMwWhPvWeefL+ANgucnK/N3vxyrwu01cSUG0+9X65+raQoMh+gDLBxA7sTDOEMWqUWcWrb12jtPnYVP6WfzbzFxW3n6jz1M9YeQnt0haiAKJTVl0GjEfcHkE8LuKKiIly4cMHl53Q6XfuD2iEkpO0Ab0NDg90x5nVCQy3nDtx9rj0cJR02W+ecSUxMeB96v3wLer98C3q/fA96z4TpGPZIN/niiy/AMIzL/2bMmCF67dTUVABAXp79PDXmbzbzWG47Pz9f4Anw7nGfIwiCIAiCMOPTAs6bmPO3HTsmXK8tOzsbVVVt50iGDLEkJzS3Kysr7QYpmOfk5ogjCIIgCIIwQwLOTW644QZotVrk5eVh//79NvfXr18PABg9ejS6dbOcE0tKSsKIESN4Y7js27cP+fn58PPzww033CDT7gmCIAiC8GVIwLlJREQE5s+fDwB45JFHUFlpic7KyMjAypUrAbRFlFqzePFiAMCKFSuQkZHBXq+srMQjjzwCAHjssccQFiZdyDdBEARBEJ0Hnw5ikIply5bh559/trl+0003QattyxU0dOhQtsyVmeXLl+PIkSM4ePAg0tPTMWnSJDQ0NGDHjh0wGAxYsGABZs6caTPvLbfcgieeeALvvfceRo8ejcmTJyMoKAg7duxATU0Nxo0bh2XLlsnzYgmCIAiC8HlIwAG4fPkyDh8+bHOdWwnB3982d05gYCB27dqFt99+G19++SW2bNkCrVaLMWPG4LHHHsOsWbPsrvnuu+9i3LhxeP/993HgwAEYDAb07NkTCxcuxNNPP80KR4IgCIIgCGsokS9BEARBEISPQWfgCIIgCIIgfAwScARBEARBED4GCTiCIAiCIAgfgwQcQRAEQRCEj0ECjiAIgiAIwscgAUcQBEEQBOFjkIAjCIIgCILwMUjA+RgbN27EhAkTEBERgaCgIAwaNAhvvvkmDAaDW/MdP34cs2bNQlxcHPz9/dGjRw88/vjjKCsrk3jnXRep3rNPP/0UCoXC4b9ffvlFplfR+blw4QLWrFmDefPmYeDAgVCr1VAoFHjttddEzfvbb7/hhhtuQHR0NAICAtC3b18sWbIEOp1Oop13TaR+v1555ZV2f77Onz8v8avoGhgMBuzYsQPPPfccRowYgfDwcGg0GsTHx+Omm24SrITkLF3554sqMfgQTz31FN59912o1WpMmjQJwcHB2LlzJ1544QX8+OOP+PXXXxEQEOD0fN9++y3uvvtuGI1GjBgxAj169MCxY8fwz3/+Exs3bsS+ffvQq1cvGV9R50fq9wwAevbsifHjxwveS0xMlGLbXZK1a9fi3XfflXTOd955BwsWLIBCocA111yDuLg47N27F8uXL8emTZuwb98+REdHS7pmV0GO9wsABg0ahMGDBwveo/rU7rF7925MnToVABAfH4/x48cjKCgIZ8+exY8//ogff/wRDz/8MP79739DoVA4PW+X//liCJ/g+++/ZwAwwcHBzPHjx9nr5eXlzMCBAxkAzDPPPOP0fIWFhUxgYCADgPnggw/Y60ajkbn33nsZAMyIESMYk8kk6evoSkj9nn3yyScMAGbu3Lky7Jb48MMPmWeffZb58ssvmXPnzjH33XcfA4BZtmyZW/NlZGQwCoWCUalUzJYtW9jrDQ0NzOTJkxkAzG233SbV9rscUr9fL7/8MgOAefnll6XdKMHs2LGDue2225g9e/bY3Pv6668ZlUrFAGA+++wzp+ekny+GIQHnI4wYMYIBwLz22ms29/bu3csAYPz8/Jiamhqn5nvuuecYAMyUKVNs7tXX1zNhYWEMAOaXX34RvfeuitTvGQk4zzJ37lxRgmDWrFkMAObBBx+0uZebm8solUoGAHPu3DmxWyUY8e8XCTjv8cADDzAAmMmTJzv9DP18MQydgfMBCgsLcfToUQDA7Nmzbe6PHz8eycnJaGlpwZYtW5ya8/vvv7c7X3BwMG666SYAwHfffefutrs0crxnhO+g1+vZcz1C73/37t0xbtw4AJafRYLoqgwZMgQAkJ+f79R4+vlqgwScD5CZmQkAiIyMRI8ePQTHDB8+nDfWEfX19bh06RLvOTHzEbZI/Z5xuXTpEl588UU8/PDDWLBgAf773/+ioqJC3IYJSbl48SIaGxsB0M+Yr5GRkYGFCxfi4YcfxnPPPYf169ejvr7e29vq1GRlZQEAEhISnBpPP19tUBCDD5CTkwMASElJsTsmOTmZN9YRubm5bNvenK7MR9gi9XvGZf/+/di/fz/vmr+/P1555RW88MILLu6UkAPzexoeHo6QkBDBMfQz1jExH6rnEhYWhvfeew9z5szx0q46LyUlJfj0008BALfddptTz9DPVxtkgfMBzH/9BQUF2R0THBwMAKirq3N6PkdzujIfYYvU7xnQFr21ZMkSHD58GOXl5airq8PRo0cxZ84ctLS0YOHChVi+fLn4zROikeP9J+SlZ8+eWL58OTIzM1FV9f/t3X9M1PUfB/DnAQcJJx50nCOZKA2ZdZQZ/mikxk23w0wmTGylO5x/WGiYuKxWTKk/ymHWsv6w5cpabomimCsHqTktV3JRLmqS/aAfSjvguPKOIM5Xf/i9z7ePx49TuDs+8Hxst7nP+/N+fz5vPr6PJ5/7vO/dgY6ODpw+fRpLliyB2+2G3W7He++9F+nTHFV6e3uxcuVKuN1uZGdnY+3atUHV4/i6infgiDTCZrPBZrOptuXk5GDPnj248847sWnTJjz33HNYs2YNJk6cGKGzJNKmVatWBWzLzc3FBx98gLKyMuzcuRMbN27E8uXLERsbG4EzHH0eeeQRHDt2DDfffDP279/Pn+t14h04DfDfIvZ4PP3u4//SwsTExKDbG6jN62mPAg33NRvMhg0bYDKZ0N3djbq6uiG3R0MT7utPobV161ZER0fD6XTi888/j/TpjAobNmzA7t27kZSUhPr6ekybNi3ouhxfVzHAacCUKVMADDxDx1/m33cg6enpyr9/+eWXIbdHgYb7mg0mOjoamZmZAIDffvttyO3R0PivaWdnZ78PwHOMaUdycjLMZjMAjq/hsGnTJrz66qswGo2oq6tTZqEGi+PrKgY4DfD/525vb+/3gcyGhgYAwMyZMwdtLzExUVlhwV9vKO1RoOG+ZsFob28HgH4f6qXwycrKQnx8PACOsdHA5/PB7XYD4Pgaqs2bN2PHjh2YMGEC6urq+p1FOhCOr6sY4DQgLS0Ns2bNAgDs3bs3oPz06dP49ddfERcXh8WLFwfV5rJly/pt7/Lly8osrMLCwhs97TEtFNdsIF9++SWam5sBALNnzx5yezQ0sbGxuP/++wH0ff1bWlrw2WefAfj/WKSR6/Dhw/B6vdDpdDcUOOiqp556ClVVVZgwYQLq6+uV98jrxfH1P5H+JmEKTn/LMrW1tfW7LFNNTY1kZWWJ1WoNaO+/S2m98cYbyvbe3l5lSRoupTU0w3nNPB6PvPbaa/Lnn38GHOfkyZMyZcoUASD33ntvaDozBgXzzf47d+6UrKwsWbVqVUCZw+FQlvr56KOPlO1jaamfcBrK9WppaZF3331Xurq6AuocPHhQkpOTBYCsXLly2M97rHjmmWcEgBiNRvniiy+CqsPxNTAGOA0pKysTAKLX68Vms0lRUZEYjUYBILm5ueL1elX7+5deSk9P77O9ffv2KWvQzZkzR1asWCEZGRkCQCZOnCjff/99GHo1ug3XNXO5XMrSW3PnzpXi4mIpLCwUi8UiAASAZGdny8WLF8PYu9HF4XDInDlzlJfJZBIAkpaWptr+35+xf/mlBQsW9Nnmjh07BIDodDq57777pLi4WFJTUwWAZGVlidPpDFPvRp/hvF6NjY3KH1vz5s2TBx98UAoKCiQzM1MZX3l5efLXX3+FuZejQ21trfJzzMnJEbvd3ufr2j9oOb4GxgCnMe+//77Mnz9fEhMTZdy4cWKxWOTFF1+U7u7ugH0HC3AiIg0NDVJYWCgpKSkSGxsr6enpsm7dOmltbQ1hL8aW4bhm3d3dUlFRIfn5+TJ16lQZP368xMTESEpKiixcuFB27drVZ3sUvBMnTii/ZAZ6/fTTT0qdwX7BiIjU19eLzWaT5ORkiYuLk8zMTHn66af7vJtKwRvO69XW1iZPPvmkWK1WmTx5siQkJIher5fU1FRZsmSJ7N27V3w+X3g7OIr439cGe137vsfxNTCdiMhQPoIlIiIiovDiJAYiIiIijWGAIyIiItIYBjgiIiIijWGAIyIiItIYBjgiIiIijWGAIyIiItIYBjgiIiIijWGAIyIiItIYBjgiIiIijWGAIyIiItIYBjgiIiIijWGAIyIiItIYBjgiIiIijWGAIyIKoxMnTiA/Px9msxkxMTHQ6XR44oknAABbtmyBTqfDvn37Aup5PB68/PLLyMvLg9lsRmxsLMxmM/Ly8vDKK6/A6/WGuytEFEE6EZFInwQR0Vhw6tQp5OXlQUSwYMECpKWlISoqCmvWrMG8efNgsVjwww8/wOl0wmAwqOoVFxejtbUVCQkJuOeee5CSkgKn04kzZ87A4/EgNTUV1dXVyM3NjWAPiShcYiJ9AkREY8Xzzz8Pn8+H119/HaWlpaqy8+fPo6mpCQUFBarw9umnn2LhwoXo6elBeXk5KisrVeWXL19GZWUltm/fDqvViuPHjzPEEY0B/AiViCgMurq68MknnyAuLg6rV68OKD9w4AAAoLCwUFVnxYoV6OnpwZYtW/DSSy+pwhsAGAwGVFVVobKyEj09PSguLkZXV1doO0NEEccAR0QUQj/++CN0Oh3i4+Pxzz//oLu7G/Hx8dDpdNDpdGhrawMA1NTUQK/XY+nSpUrd3bt34/fff0dGRgYqKioGPM6zzz6LW2+9FRcvXsSbb74Z0j4RUeQxwBERhZDX64XdbsesWbMAABaLBXa7HXa7HaWlpTCZTPj555/hcDhgtVphNBqVuocPHwYAPPzww4iOjh7wOFFRUXjooYcAALW1taHpDBGNGHwGjogohCwWC95++22sW7cOZ8+exfr167F27VrVPjU1NQCAoqIi1fZz584BAGbMmBHUsfz7ffPNN0M7aSIa8XgHjogoDBwOBwDg7rvvDig7cOAAoqKiUFBQoNre0dEBAEhMTAzqGP79XC6XavuFCxewePFiGAwGmEwmlJaWwuPxXHcfiGjk4B04IqIQ6+3txddffw29Xo/s7GxV2aVLl3DmzBnMnz8fZrNZVWY0GuF0OuF2u4M6jj+4JSUlKdvcbjesVituueUWVFdXo6OjA+Xl5fjjjz+UiRNEpD0McEREIdbU1IS///4bd911F+Li4lRlBw8ehIgEfHwKAFOnToXT6URjY2Of5ddqbGwEAKSnpyvbdu3aBafTiYaGBiUgjhs3DkVFRXA4HH3eESSikY8foRIRhdhgH5/qdDrV14f4PfDAAwCA/fv3Y7DvXL9y5Qqqq6tV9QDgww8/hNVqVd3dW7p0KQwGA44cOXL9nSGiEYEBjogoxPoLcO3t7Th58iRmz56NSZMmBdRbvXo1xo8fj/Pnz+Odd94Z8BhvvfUWLly4AIPBgJKSEmX7t99+i+nTp6v2jYmJwbRp0/Ddd9/dYI+IKNIY4IiIQqyhoQFAYICrra2Fz+fr9+PRSZMmYdu2bQCA0tJSZVbqtb766is89thjAIAXXngBaWlpSpnL5VJ9NYlfUlKSMkmCiLSHAY6IKIR6e3tx7tw56PV63HHHHaoy/ySCgZ5ve/TRR7Fx40Z4vV7YbDYcP35cVX7s2DHk5+ejq6sLjz/+ONavXz/8nSCiEYcBjogohPwTGG6//XbVBAa3242PP/4YM2bMQEZGRkC9trY2lJSUoKSkBB0dHUhISMClS5ewaNEiHD16FABw9OhRLFq0SFnk3uVyKXX8KzwkJSWhs7MzoH2Xy4Xk5OTQdJqIQo6zUImIQsj//NvMmTNV248cOYKenp4+Jy8AVxep37NnT8D2K1euoLW1FQDQ2tqqTG7weDyq/bdu3QqTyYTp06cHPOvm8/nQ3NysWraLiLRFJ4NNbSIiomFXVFSEmpoaNDU14bbbbgvZcbZt24bKykq0tLQgJSUFAHDo0CEsW7YMZ8+eRU5OTsiOTUShwwBHRBQBVVVVEBFs3rw5pMfp7OyExWLB5MmTUVFRAZfLhfLycsydOxeHDh0K6bGJKHQY4IiIRrnm5maUlZXh1KlTuOmmm7B8+XJs374dBoMh0qdGRDeIAY6IiIhIYzgLlYiIiEhjGOCIiIiINIYBjoiIiEhjGOCIiIiINIYBjoiIiEhjGOCIiIiINIYBjoiIiEhjGOCIiIiINIYBjoiIiEhjGOCIiIiINIYBjoiIiEhjGOCIiIiINIYBjoiIiEhjGOCIiIiINIYBjoiIiEhjGOCIiIiINIYBjoiIiEhjGOCIiIiINOZfqpVzLe2GAAEAAAAASUVORK5CYII=", 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