{ "cells": [ { "cell_type": "markdown", "id": "d72bea69", "metadata": {}, "source": [ "## Initial imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "0b38cf68", "metadata": {}, "outputs": [], "source": [ "import os\n", "import sys\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from scm.conformers import ConformersJob\n", "from scm.plams import Settings, view" ] }, { "cell_type": "markdown", "id": "79492687", "metadata": {}, "source": [ "## Initial structure" ] }, { "cell_type": "code", "execution_count": 2, "id": "6f7741f9", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scm.base import ChemicalSystem\n", "\n", "molecule = ChemicalSystem.from_smiles(\"OC(CC1c2ccccc2Sc2ccccc21)CN1CCCC1\")\n", "view(molecule, width=300, height=300, direction=\"along_pca3\")" ] }, { "cell_type": "markdown", "id": "42c2e768", "metadata": {}, "source": [ "## Generate conformers with RDKit and UFF\n", "The fastest way to generate conformers is to use RDKit with the UFF force field.\n", "\n", "Below we specify to generate 16 initial conformers. The final number of conformers may be smaller, as the geometry optimization may cause several structures to enter the same minimum." ] }, { "cell_type": "markdown", "id": "17360901", "metadata": {}, "source": [ "### Conformer generation settings" ] }, { "cell_type": "code", "execution_count": 3, "id": "8a1e60ae", "metadata": {}, "outputs": [], "source": [ "s = Settings()\n", "s.input.ams.Task = \"Generate\" # default\n", "s.input.ams.Generator.Method = \"RDKit\" # default\n", "s.input.ams.Generator.RDKit.InitialNConformers = 16 # optional, non-default\n", "s.input.ForceField.Type = \"UFF\" # default" ] }, { "cell_type": "markdown", "id": "00aded80", "metadata": {}, "source": [ "### Conformer generation input file" ] }, { "cell_type": "code", "execution_count": 4, "id": "44ed8507", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generator\n", " Method RDKit\n", " RDKit\n", " InitialNConformers 16\n", " End\n", "End\n", "\n", "Task Generate\n", "\n", "\n", "Engine ForceField\n", " Type UFF\n", "EndEngine\n", "\n", "\n" ] } ], "source": [ "print(ConformersJob(settings=s).get_input())" ] }, { "cell_type": "markdown", "id": "ecedcd3e", "metadata": {}, "source": [ "### Run conformer generation" ] }, { "cell_type": "code", "execution_count": 5, "id": "8efab98f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[09.04|12:59:17] JOB generate STARTED\n", "[09.04|12:59:17] JOB generate RUNNING\n", "[09.04|12:59:27] JOB generate FINISHED\n", "[09.04|12:59:27] JOB generate SUCCESSFUL\n" ] } ], "source": [ "generate_job = ConformersJob(name=\"generate\", molecule=molecule, settings=s)\n", "generate_job.run();" ] }, { "cell_type": "markdown", "id": "2341eaad", "metadata": {}, "source": [ "## Conformer generation results" ] }, { "cell_type": "markdown", "id": "fbd1f9dd", "metadata": {}, "source": [ "### Some helper functions" ] }, { "cell_type": "code", "execution_count": 6, "id": "032b9950", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "\n", "\n", "def get_df(job: ConformersJob, temperature=298, unit=\"kcal/mol\") -> pd.DataFrame:\n", " relative_energies = job.results.get_relative_energies(unit)\n", " pop = job.results.get_boltzmann_distribution(temperature)\n", " df = pd.DataFrame(\n", " {\n", " \"Conformer Id\": np.arange(1, len(relative_energies) + 1),\n", " f\"Rel. E ({unit})\": relative_energies,\n", " f\"Population at {temperature} K\": pop,\n", " }\n", " )\n", " return df" ] }, { "cell_type": "markdown", "id": "ba098d8e", "metadata": {}, "source": [ "### Actual results\n", "\n", "Below we see that the **conformer generation gave 15 distinct conformers**, where the highest-energy conformer is 18 kcal/mol higher in energy than the lowest energy conformer.\n", "\n", "You can also see the **relative populations** of these conformers at the specified temperature. The populations are calculated from the **Boltzmann distribution** and the relative energies." ] }, { "cell_type": "code", "execution_count": 7, "id": "bd5f6a4f", "metadata": {}, "outputs": [], "source": [ "unit = \"kcal/mol\"\n", "temperature = 298" ] }, { "cell_type": "code", "execution_count": 8, "id": "e276c163", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Conformer IdRel. E (kcal/mol)Population at 298 K
010.0000003.631715e-01
120.0060543.594777e-01
230.4729371.634079e-01
340.8670988.398580e-02
451.7640691.846683e-02
562.1116781.026751e-02
673.6754847.321730e-04
783.9570734.550966e-04
895.7309832.275975e-05
9106.0727061.278078e-05
101115.3742901.927672e-12
111217.7403363.546829e-14
121318.1510451.772709e-14
131419.3309412.417323e-15
141524.7570892.534824e-19
\n", "
" ], "text/plain": [ " Conformer Id Rel. E (kcal/mol) Population at 298 K\n", "0 1 0.000000 3.631715e-01\n", "1 2 0.006054 3.594777e-01\n", "2 3 0.472937 1.634079e-01\n", "3 4 0.867098 8.398580e-02\n", "4 5 1.764069 1.846683e-02\n", "5 6 2.111678 1.026751e-02\n", "6 7 3.675484 7.321730e-04\n", "7 8 3.957073 4.550966e-04\n", "8 9 5.730983 2.275975e-05\n", "9 10 6.072706 1.278078e-05\n", "10 11 15.374290 1.927672e-12\n", "11 12 17.740336 3.546829e-14\n", "12 13 18.151045 1.772709e-14\n", "13 14 19.330941 2.417323e-15\n", "14 15 24.757089 2.534824e-19" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = get_df(generate_job, temperature, unit)\n", "df" ] }, { "cell_type": "code", "execution_count": 9, "id": "a803b1fa", "metadata": {}, "outputs": [ { "data": { "image/png": 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BgPHjx+PEiRPYuXMn//3m5OSgZ8+e/Ljftm3bIjs7G2vXrkVFRQUkEgmuXLmCv/76C5MnT0Z4eDjy8/Px7bffYuDAgUhMTERAQECtn338+HFoNBqMGjXKafmBAwfw999/48knnwQALFy4EGPGjMGLL76IpUuXYu7cuSgpKcGHH36ImTNnYvfu3fy2y5cvxyOPPIK4uDgsXLgQ+fn5+OKLL3Do0CGcPn26ygUKaXx3WiwDQGlpKV566SW8+uqr8PPzq1e5APANhZu5GKY6mTS2Oy2WBw0ahFWrVuHxxx/Hs88+y3dFXr9+PT766KNay0ax3MpjuXkfGP/PiRMnGAC2bNkyxhhjWq2WSSQSNn/+/CrrAqjxtXLlylo/x/EIvz6vtLS0Wvc1evRoFhERUWV5eXk5A8BefvnlWrdXKpVs5syZVZZv3ryZAWDbtm1jjDH20UcfMQDs6tWrVdaNi4tjvXv3rvVzru0qkZuby9q3b88iIiJYenq603oDBgxgLi4uLCMjw2m53W7n/7+ioqLK/uPj4xkA9uuvv/LLauoqcX33RUdXR29vb6bVavnlr7zyCgNQpfv1tGnTmEQiYUajkTFW2eVTIpGw4cOH8108GWPsq6++YgDYTz/9xC9rSV0lblcUx/9zfRxf71a6IpeWlrKBAwcyLy8vdvr0aaf1HnroISYQCKrtGuWIZaPR6BQvjFXGolQqZe+8847TMlTTFfmNN96oEksAmFQqdfq+v/32WwaA+fn5Mb1ezy93xLdjXbPZzHx8fFiHDh2YwWDg19u0aRMDwN58801+GXVFbhp3Yiwzxtjzzz/PwsPD+TqmPl2RrVYr8/X1ZT179qxz/4xRnexAdXLTuBNj2Wq1snnz5jGxWMx/plAoZN98802d21Est+5YbjFPbFesWAGRSISJEycCANzc3DBixAj8+eef+OSTTyAUCp3WHz9+PObNm1dlP3U9GencuTN27NhRrzLVdbfWYDBAKpVWWe5INmEwGBpke8d/a1pXr9fX+jkOWVlZ/B2o/fv3IzAwkH9Po9Fg//79mD9/PkJCQpy2u3ZqjWu7cFgsFuj1ekRFRcHd3R2nTp3Cgw8+WOPnO7ovvvDCC1Xemzx5Mtzc3Ph/O7L2TZ8+3an7da9evbBy5UpkZ2cjIiICO3fuhNlsxjPPPON092/WrFl49dVXsXnzZjzyyCN1fjekYVAc3/j2N0qn02H48OG4cuUK9u7di/bt2/Pv2e12/PXXXxg7dmyVHh7A/2L52vLabDZotVqoVCq0adOmxqzs19qyZYtTN2SHoUOHOqX8d8TxxIkT4eLiUmX5lStXEBYWhhMnTqCgoABvvfWWU7Ke0aNHo23btti8eTPefvvtOstFGs6dGMspKSn44osvsHLlymr3U5Ndu3YhPz8fr776ar23AahOJk3jToxloVCIyMhI3HPPPZg8eTJkMhlWrlyJp556Cn5+fpgwYUK121Est/5YbhENW5vNhj///BNDhgyBl5cXv3zq1Kn4+++/sWvXriqP1oOCgnD33Xff8Gd5eHjc1HbVkcvlTuPnHIxGI/9+Q2zv+G9N69b1OQ4PPvggRCIRkpKSqpxUrly5AgDo0KFDrfswGAxYuHAhfv75Z2RnZ4Mxxr9XVxcUR/fF6i6Irw92RxAGBwdXu7ykpARA5ZgEAGjTpo3TehKJBBEREfz7pPFRHN/c9jfqmWeegdFoxOnTp50atUBlBarX6+uMY7vdji+++AJLly5FWlqa0/QHarW61m3z8vJw6tQpvPPOO1Xea+g4BoC2bdvi4MGDtZaJNKw7NZbnz5+Pvn378g2A+nKMX5w6deoNbUd1Mmlsd2osL1q0CF988QUuXboElUoFAJgyZQoGDx6MJ598EmPGjHFq1DlQLLf+WG4RyaN2796N3NzcKj+kcePGQS6XN+ggd7PZjLy8vHq9rr3Yq46/vz/y8vKcfnwAkJubCwB1jlPz9/fn161te39/f6fl169b1+c43HvvvdBqtXya85vx1FNP4f3338eUKVOwevVqbN++HTt27IBarYbdbq912y1btiAsLAzt2rWr8t71dwzrWn79d06aH8Wxs/puf6PGjx8PxhgWLVpUZ8zV5IMPPsCzzz6LAQMG4Pfff8e///6LHTt2oH379nXuc+vWrZDJZBg8eHCV9yiObw93Yizv3r0b27Ztw/z585Gens6/rFYrDAYD0tPTq+0dZTAYsGHDBtx9993w9fW9oWOnOpk0tjsxloHKhEdDhgzhG7UO48aNQ05OTrUJmSiWK7X2WG4RT2xXrFgBsViM//znP07LVSoVRo0ahQ0bNmDZsmUN8uTj8OHD1V6QVSctLc2pW931unTpgh9++AFJSUlOP6ajR4/y79emS5cuOHDgAOx2u9Nj/qNHj0KhUPBzhjn2c+LECX7gPFCZJCYrKwuzZ8+u1/E89dRTiIqKwptvvgk3Nze8/PLL/HsREREAgISEhFr3sXbtWjz88MP45JNP+GVGo7FeGdI2b95cJdnMrQoNDQUAJCcn88cAVJ5g09LSGuzuIakbxXHtcdxQJkyYgOHDh2PGjBlwcXFxmsfa29sbrq6u9YrjwYMH48cff3RartVqne7qV2fz5s0YPHhwgz6JvjaOhwwZ4vRecnIy/z5pGndiLF+9ehUAnLKbO2RnZyM8PByfffYZnnnmGaf3/v77b5SWlt5Uohmqk0ljuxNjGQDy8/OrbTxbLBYAgNVqrfIexbKz1hrLzd6wNRgMWL9+PYYNGwYPD48q70+ZMgXr1q3D33//fcNdA6rTkGMAxo8fjwULFmDp0qX46quvAFTe6Vi2bBkCAwPRt29fft3c3FzodDpERkbyWcQmTZqEtWvXYv369Zg0aRKAyoxqa9aswdixY/nxBe3bt0fbtm3x3Xff4fHHH+fvsnzzzTfgOI7ftj7eeOMN6PV6vPLKK3Bzc8OcOXMAVF4QDxgwAD/99BOeffZZp64LjDF+HIBQKKxyN2fJkiV13n3Lz8+vsfvirbj77rshkUjw5ZdfYsSIEXw5f/zxR+h0umq7ZZCGR3Fcdxw3pIceegh6vR5PPfUUXF1dsXjxYgCAQCDAhAkT8Pvvv+PEiRNVxtk6Yrm6OF6zZg2ys7MRFRVV4+daLBbs2LEDCxcubNDj6dGjB3x8fLBs2TLMnDmT/862bt2KpKQkvPnmmw36eaRmd2osDxkyBBs2bKiyz9mzZyM0NBSvvfZatWMM//jjDygUiioNh/qiOpk0ljs1lgEgJiYGO3bsQFFRET+8xmazYfXq1XBxceGzFV+LYtlZa43lZm/YOu6QAJV94q9XUVEBoPKu07WBl5KSgt9//73K+r6+vhg2bFiNn9eQYwCCgoLwzDPP4KOPPoLFYkFcXBz++usvHDhwgO+n7/DKK6/gl19+cbpLNWnSJPTu3RuPPPIIEhMT4eXlhaVLl8Jms1VJlPLRRx9h3LhxGD58OO677z4kJCTgq6++wmOPPVYlHXpdPvroI+h0Ojz55JNwcXHB9OnTAQBffvkl+vfvj27dumH27NkIDw9Heno6Nm/ejDNnzgAAxowZg99++w1ubm5o164d4uPjsXPnzjrH5W3ZsqXG7ou3wtvbG6+88grefvttjBgxAuPGjUNycjKWLl2KuLg4/thI46I4rl8c79+/H/v37wdQOR62vLwc7733HgBgwIABGDBgQL3LPW/ePOj1erz22mtwc3Pjk1188MEH2L59OwYOHIjZs2cjNjYWubm5WLNmDQ4ePAh3d3eMGTMG77zzDh555BH07dsX58+fx4oVK5zuylbn4MGD0Ov1DV6hicViLF68GI888ggGDhyIadOm8dP9hIWFYcGCBQ36eaRmd2osh4SEVBmLBlSOaff19a022UxxcTG2bt2KiRMnVunyeCOoTiaN4U6NZQB4+eWXMX36dPTq1QuzZ8+GXC7HypUrcfLkSbz33ntVpqmhWK6q1cZy0yVgrt7YsWPrlRpcLBazwsJCxljt6chvZPqMhmCz2dgHH3zAQkNDmUQiYe3bt2e///57lfUefvjhalOcFxcXs0cffZSp1WqmUCjYwIEDq52mgzHGNmzYwLp06cKkUikLCgpir7/+OjObzXWW8dp05NeWe9q0aUwkErG//vqLX56QkMD+85//MHd3dyaTyVibNm3YG2+8wb9fUlLCHnnkEebl5cVUKhW755572MWLF1loaCh7+OGH+fWuT0c+adIkNmrUqCplc6Qj/+ijj5yWXzu1SV3Hwlhl+vG2bdsysVjMfH192Zw5c1hJSYnTOi0pHfnthuK4fnHsmKqmutd///vfWstYU0y8+OKLDAD76quv+GUZGRnsoYceYt7e3kwqlbKIiAj25JNPMpPJxBirnO7nueeeY/7+/kwul7N+/fqx+Ph4NnDgwGqnC3BM9/P888+zdu3aVVs+AOzJJ590Wnaj8b1q1SrWtWtXJpVKmaenJ3vggQdYVlZWtd8haRx3eixfr7bpfpYtW8YAsL///vuGykh1ciWqkxvXnR7L27Zt46fFk0gkrGPHjvyUR9ejWL59YpljrJWPEiYtntVqhVqtxsKFCzF37tzmLg4h5Ca1a9cOY8aMwYcfftjcRSGE3CSqkwm5PVAsV9XsXZHJ7a+4uBgLFiy46XELhJDmZzabMXXqVEyZMqW5i0IIuQVUJxNye6BYroqe2BJCCCGEEEIIadVaxDy2hBBCCCGEEELIzaKGLSGEEEIIIYSQVo0atoQQQgghhBBCWjVq2BJCCCGEEEIIadWoYXubWb16NTw9PVFWVtbcRbntvPzyy+jVq1dzF4PcIT788EO0bdsWdru9uYty27nvvvsouzNpElQnNx6qk0lTmjt3LoYNG9bcxbgt9e7dGy+++GLD7OxWJsF1TObreEmlUhYdHc2efPJJlpeX1xDz7DaqjRs3sq5duzKpVMqCg4PZm2++ySwWS53bZWdnswceeIDFxMQwlUrF3NzcWFxcHFu+fDmz2+3VbvPnn3+y3r17M4VCwdzc3FifPn3Yrl27+PcrKirYzJkzWfv27ZmrqytTKpWsU6dO7PPPP2dms7lex2O1Wlnbtm3Zm2++yRhj7L///W+9Juduqkm3k5KS2AsvvMA6d+7MVCoV8/PzY6NGjaoyGbTDypUr+b+Pl5cXmzlzJtNoNFXW02q17IUXXmBRUVFMJpOxkJAQNnPmTJaRkVFnmWqakFqr1bK4uDgmlUrZ1q1bGWOM5ebmMqlUyjZu3HgTR9+yUSzXHcs1xZNUKq2y37y8PDZjxgzm7e3NZDIZ69q1K1u9enW9j0en0zFPT0/2008/Mcb+NwF9Xa9rJ3FvTMeOHWNPPvkka9euHVMoFCw4OJhNnjyZJScnV7v+kiVLWNu2bZlEImEBAQFswYIFrKysrMp6OTk5bNasWSwsLIzJZDIWERHBFixYwAoLC+ssk+Pvc/054urVqywiIoJ5eHiwkydPMsYYO3XqFBMIBOzMmTM3cfQt150ax4wx9t5777GxY8cyHx8fBoD997//rXV9qpOpTm7J7uRYttlsbPHixSwsLIxJpVLWsWNH9scff1S77qpVq1ivXr2Ym5sb8/T0ZAMGDGCbNm2qdf+///47A8CUSmW9j+fKlStMLBaz3bt3M8YYGzhwYL1iua7zUEPZuXMne+SRR1h0dDSTy+UsPDycPfrooywnJ6fKumazmb311lssPDycSSQSFh4ezt59991q/z4pKSls6tSpLDAwkMnlctamTRv29ttvs/Ly8jrL9PDDD1f7HZ89e5ap1WoWGhrK0tLSGGOMrV+/nikUCpabm3vjB3+dBpnH9p133kF4eDiMRiMOHjyIb775Blu2bEFCQgIUCkVDfESD27p1KyZMmIBBgwZhyZIlOH/+PN577z0UFBTgm2++qXXbwsJCZGVlYdKkSQgJCYHFYsGOHTswY8YMJCcn44MPPnBa/6233sI777yDSZMmYcaMGbBYLEhISEB2dja/jsFgwIULFzBq1CiEhYVBIBDg8OHDWLBgAY4ePYo//vijzmP6559/kJycjNmzZwMA7r33XkRFRfHvl5WVYc6cOfjPf/6De++9l1/u6+tbr+/sVv3www/48ccfMXHiRMydOxc6nQ7ffvstevfujW3btuHuu+/m1/3mm28wd+5cDB06FJ9++imysrLwxRdf4MSJEzh69ChkMhkAwG63Y9iwYUhMTMTcuXMRExODy5cvY+nSpfj333+RlJQEFxeXGyqnXq/H8OHDce7cOWzYsAEjRowAAPj5+WH8+PH4+OOPMW7cuIb7YloQiuXaYxmo/G2qVCr+30Kh0Ol9vV6P/v37Iz8/H/Pnz4efnx9Wr16NKVOmYMWKFbj//vvrPKaffvoJVqsV06ZNAwA8/vjjTvGRlpaGN998E7Nnz8Zdd93FL4+MjKxz3w1h8eLFOHToECZPnoxOnTohLy8PX331Fbp164YjR46gQ4cO/LovvfQSPvzwQ0yaNAnz589HYmIilixZggsXLuDff//l1ysrK0OfPn1QXl6OuXPnIjg4GGfPnsVXX32FPXv24OTJkxAIbqyTUXZ2NgYPHozi4mLs3LkT3bp1AwB07doVPXr0wCeffIJff/21Yb6UFuROi2MAeP311+Hn54euXbs6/a6qQ3VyJaqTW747MZZfe+01LFq0CLNmzUJcXBw2btyI+++/HxzH4b777uPXW7JkCZ5++mmMHj0aixYtgtFoxPLlyzFmzBisW7fOKaYcysrK8OKLL0KpVN7QMX3xxRcIDw/H4MGD+TI+9thj/PvHjx/Hl19+iVdffRWxsbH88k6dOt3Q59ysl156CcXFxZg8eTKio6Nx5coVfPXVV9i0aRPOnDkDPz8/ft3p06djzZo1mDlzJnr06IEjR47gjTfewNWrV/Hdd9/x62VmZqJnz55wc3PDvHnz4Onpifj4ePz3v//FyZMnsXHjxhsuZ0JCAoYOHQqlUok9e/YgLCwMADB+/Hi4urpi6dKleOedd27ty7iVVnFNd9aeffZZBqDGOywtQbt27Vjnzp2d7lC89tprjOM4lpSUdFP7HDNmDFMqlcxqtfLL4uPjGcdx7NNPP72pfc6bN48BqNddjHHjxrH+/fvX+L5Go2nSO0jXO3HiBCstLXVaVlhYyLy9vVm/fv34ZSaTibm7u7MBAwY4PTX7559/GAD25Zdf8ssOHTrEALCvvvrKab8//fQTA8DWr19fa5mu/w3r9XrWu3dvJpFIqr3rt3btWsZxHEtNTa3/gbcCFMvOqovlmp4IXu/DDz9kAJye/thsNhYXF8f8/PyYyWSq8/M7derEpk+fXuP7x48fZwDYzz//XPfBNIJDhw5VOY6UlBQmlUrZAw88wC/LyclhIpGIPfjgg07rLlmyhAFgf//9N79sxYoVDECVuHvzzTcZAHbq1Klay3T93yc7O5tFR0czd3f3ap9Affzxx0ypVFY5J7Vmd3IcO+7811XPUZ38P1Qnt1x3aixnZWUxsVjMnnzySX6Z3W5nd911FwsKCnKqk6Ojo1lcXJzTb1Kn0zGVSsXGjRtX7f5feukl1qZNG/bAAw/U+4mt2WxmXl5e7PXXX69xnTVr1jAAbM+ePfXaZ0Pbt28fs9lsVZYBYK+99hq/7NixYwwAe+ONN5zWfe655xjHcezs2bP8svfff58BYAkJCU7rPvTQQwwAKy4urrVM1z+xTUhIYN7e3iw4OLjaeJ03bx4LDQ2tsedrfTXKGNshQ4YAqHyqAABWqxXvvvsuIiMjIZVKERYWhldffRUmk8lpu7CwMIwZMwbbt29Hly5dIJPJ0K5dO6xfv75en5ubm4uLFy/CYrHUul5iYiISExMxe/ZsiET/e2g9d+5cMMawdu3aGzlcp/JXVFTAbDbzyz7//HP4+flh/vz5YIzd8Dgbx90MrVZb63pGo7HKHdaWpnv37k5PugBArVbjrrvuQlJSEr8sISEBWq0WU6dOBcdx/PIxY8ZApVLhzz//5Jfp9XoAVe9w+/v7AwDkcnm9y1dWVoYRI0bg1KlTWLduHUaPHl1lHcf3ezN3qlojimVzlfcYY9Dr9WCMVbvtgQMH4O3tzX93ACAQCDBlyhTk5eVh3759tX52Wloazp0716JjuW/fvpBIJE7LoqOj0b59e6dYjo+Ph9VqdbrLDoD/d2PFcm5uLgYPHoyCggJs374dPXr0qLLOsGHDUF5ejh07dtR7v63VnRDHjrqyLlQn/w/Vya3P7R7LGzduhMViwdy5c/llHMdhzpw5yMrKQnx8PL9cr9fDx8fH6Tfp6uoKlUpV7e/s0qVL+Oyzz/Dpp586la0uBw8eRGFhYYuO5QEDBlTp0TRgwAB4eno6xfKBAwcAoNo6mTGGVatW8ctqi2WBQFDlGqA2SUlJGDp0KKRSKfbs2YOIiIgq6wwbNgwZGRk4c+ZMvfdbnUZp2KampgKoPEECwGOPPYY333wT3bp1w2effYaBAwdi4cKFVb5YoPKHN3XqVIwcORILFy6ESCTC5MmT63Xx8corryA2NtapO1F1Tp8+DQBVLnYCAgIQFBTEv18Xg8GAwsJCpKen45dffsHPP/+MPn36OAXUrl27EBcXhy+//BLe3t5wcXGBv78/vvrqq2r3aTabUVhYiMzMTGzYsAEff/wxQkNDnbovVefkyZMwm818V7uGYrFYUFhYWK/XzSa5ycvLg5eXF/9vxwm5uhOTXC7H6dOn+c/q0aMHlEol3njjDezevRvZ2dnYt28fXnzxRcTFxdX7RFReXo6RI0fi+PHjWLNmDcaMGVPtem5uboiMjMShQ4du9DBbJYrlqr/BiIgIuLm5wcXFBdOnT0d+fr7T+yaTqdrtHN3GTp48WWtZDh8+DAANHssmk6nesXwzGGPIz8+vVyxX9104Kub58+fjyJEjyMrKwpYtW/D+++9jwoQJaNu2bb3KkZ+fjyFDhiAvLw///vsv4uLiql2vXbt2kMvld0Qs3ylxXB9UJ9eN6uSW63aP5dOnT0OpVDp15wWAnj17Ou0fAAYNGoRt27ZhyZIlSE9Px8WLF/Hkk09Cp9Nh/vz5Vfb9zDPPYPDgwRg1alStZbje4cOHwXEcunbtekPb1aWioqJecVxSUnJT+y8rK0NZWdlN18mDBg0CADz66KM4c+YMMjMzsWrVKnzzzTd4+umn692dOzk5GUOGDIFIJMKePXtqHDLVvXt3ALj1WL6Vx72OrhI7d+5kGo2GZWZmsj///JOp1Woml8tZVlYWO3PmDAPAHnvsMadtn3/+eQaAH4jNGGOhoaEMAFu3bh2/TKfTMX9/f9a1a9c6y+NIsOLoklSTjz76iAFgV69erfJeXFwc6927d52fxRhjCxcudBokPnToUKd9FhcXMwBMrVYzlUrFPvroI7Zq1So2YsQIBoAtW7asyj5XrlzptM8ePXqwc+fO1VmWH374gQFg58+fr3Gdm+n2tGfPnnoNkK/P916d/fv3M47jnLpFaDQaxnEce/TRR53WvXjxIv9Z1yaT2bRpE/P393cqyz333FOvLoaO33BoaCgTi8Xsr7/+qnOb4cOHs9jY2Bs4ypaPYrn2WGaMsc8//5zNmzePrVixgq1du5bNnz+fiUQiFh0dzXQ6Hb/eU089xQQCAUtPT3fa/r777mMA2Lx582oty+uvv84A1Pr7vZmuyNcnI6ntdTN+++03BoD9+OOP/LKTJ08yAOzdd991Wnfbtm0MAFOpVE7Lf/jhB+bu7u5UlocffrheSUccXZFDQ0OZq6sri4+Pr3ObmJgYNnLkyHoeYct3p8cxY7XXc1Qn143q5JbhTo3l0aNHs4iIiCrLy8vLGQD28ssv88vy8/PZ0KFDnX5nXl5e7PDhw1W237RpExOJROzChQv88dS3K/L06dOZWq2udZ2b6Ypc32RyoaGh9d7ntd59910GOA+LWrduHQPAfvvtN6d1ly1bxgCwDh06VNmHXC53Ks+1XZtr8/DDDzOxWMz8/f1ZQEAAS0lJqXMbiUTC5syZU6/916RBkkddfwcuNDQUK1asQGBgIJ+Y49lnn3Va57nnnsPHH3+MzZs384Oxgcq7Ov/5z3/4f7u6uuKhhx7C4sWLkZeX5zQA+nrLly/H8uXL6yyvwWAAAEil0irvyWQy/vF7XaZNm4YePXpAo9Fg06ZNyM/P5/cNgO/iVFRUhD///BNTp04FAEyaNAkdO3bEe++9h8cff9xpn4MHD8aOHTug1Wqxa9cunD17FuXl5XWWpaioCADg4eFRr7LXV+fOnevdVa+2v011CgoKcP/99yM8PNwpzbeXlxemTJmCX375BbGxsfjPf/6D7OxsPPXUUxCLxbBYLE7fs7e3N7p27Yp58+ahffv2OHPmDD788EM88sgjWLNmTb3Kkp+fD5lMhuDg4DrX9fDwaNAnCC0JxXL1sQygyh3giRMnomfPnnjggQewdOlSvPzyywAq76AvW7YMU6ZMwWeffQZfX1+sXr0aGzZscCpzTYqKiiASiap0EbxV99xzT6N1u3XcKe/Tpw8efvhhfnm3bt3Qq1cvLF68GIGBgRg8eDCSkpIwZ84ciMXiKt9FYGAgevbsiVGjRiE0NBQHDhzAl19+CS8vL3z88cf1Kkt+fj48PT35ro+18fDwuOkn1C3ZnRrHdaE6uXZUJ7c8d1osGwyGGre9dv9A5VPGNm3aICgoCGPGjEFpaSk+++wz3HvvvThw4ADfq8JsNmPBggV44okn0K5duzqP4XpFRUUNHscA8NBDD6F///51rncj3fcd9u/fj7fffhtTpkxxGhblqFuff/55KBQKdO/eHUePHsVrr70GkUhUpU4OCwvDgAEDMHHiRKjVamzevBkffPAB/Pz8MG/evDrLYbPZUFhYiDZt2jg9Oa5Jg9TJt9IqdtxR+vrrr9mOHTvYnj17WGJiotMA5scff5wJBIJq0+O7u7uzSZMm8f8ODQ1lAwYMqLLejz/+yADU6w58fTTk3eFrzZo1iwUHB7OKigrG2P/uxorFYqcB74wx9vbbbzMAdaa/f//995lKpaozUcXixYsZAJaZmVnjOs2dqOJaZWVlLC4ujrm5uVV7R1ur1bJx48Y53SWaPn06u/feexkAVlJSwhhjLDU1lSkUCrZ27Vqn7ZcvX84AsC1bttRaDsdv+JdffmFqtZp5e3uzixcv1rrNlClTmI+Pz40dcAtHsezs+liujZ+fHxs6dKjTsjVr1jC1Ws3/dv38/Ng333zDALD58+fXur85c+YwkUhU6zrNnTzqWrm5uSwiIoIFBwez7OzsKu9nZWWxfv368d+FUChkL7zwAuvZsydzc3Pj1zt48CATCoVVkqW89dZbjOM4/k57TRx3v9euXctkMhmLjo5m+fn5tW7Ts2dP1rNnz/ofbAtHcVx7PUd1cs2oTm5Z7tRYvpEntiNGjGBjxoxxWq+oqIh5enqyKVOm8MsWLVrEPDw8WFFREb/sRp7Yjhw5kkVGRta6TnMnj7pWUlIS8/T0ZF26dGF6vb7K+wkJCaxdu3Z8HEulUvbFF18wHx8f1rlzZ369lStXMrlcXuUcNmPGDKZQKOqchs/xHa9cuZIJBALWp0+faqf5u5aPj4/T3+5mNMgY2549e+Luu+/GoEGDEBsbW+2UDNcO7m5ujjv5ubm5Vd7Lzc1FQEDATe130qRJyMzMxP79+wEAnp6ekMlkUKvVVaYE8fHxAYA6+85PmjQJZWVldSZGcIy3uNm++DUxm83Iy8ur18tms9V7n/feey/OnTuHjRs3Ok0N4uDm5oaNGzciIyMD+/btQ3p6On777Tfk5ubC29sb7u7uACrvIhqNxirjbxyp/+vbV79du3bYsmULDAYDhg0bhszMzBrXLSkpqdedp9aIYrnS9bFcm+DgYBQXF1fZPicnB8eOHUN8fDwyMjL4ZAkxMTG17k+tVsNqtaK0tPSmyl4Tg8FQ71iuL51Oh5EjR0Kr1WLbtm3Vft+BgYE4ePAgUlJSsH//fmRlZeHDDz9EZmam03fx7bffwtfXt8rYrHHjxoExxo89rsvAgQOxevVqpKWl4Z577oFOp6tx3ds1limOq0d1cs37pDq5ZbrTYtnf3x95eXlVkjM69ufY/sqVK9i2bVuVaZ48PT3Rv39//nem0+nw3nvvYdasWdDr9UhPT0d6ejrKysrAGEN6ejoKCgpqLZNarW7wOAYqe5DUJ441Gk2995mZmYnhw4fDzc0NW7ZsqXZqrfbt2yMhIQEJCQk4cOAAcnJyMGvWLBQWFjrVyUuXLkXXrl0RFBTktP24ceNQUVFR714S9913H7766ivEx8fj3nvvrTYpp4NWq73lWG6U5FHXCg0Nhd1ux6VLl5yW5+fnQ6vVIjQ01Gn55cuXq/ygU1JSANQ/62FdunTpAgA4ceKE0/KcnBxkZWXx798oxyN8x4WUQCBAly5doNFoqvwhc3JyAFR22bmRfdbEkVjFkSmvoRw+fBj+/v71etVW8TjY7XY89NBD2LVrF/744w8MHDiw1vVDQkIwYMAAhIaGQqvV4uTJk05dc/Lz88EYq1KBOzL3Wa3Weh9rz5498ddff6GgoADDhg2r8WSSlpZWJbHBneBOjuWaOCrG6uJYIpEgLi4OvXv3hkQiwc6dOwFU7Vp2vcaK5VWrVtU7luvDaDRi7NixSElJwaZNm+rs4hUdHY277roLfn5+SExMRG5ubpVYru5C/GZieezYsfjpp59w9uxZjBkzptru31arFZmZmXdcLN9JcXw9qpOrojq59bodY7lLly6oqKhwyuQLAEePHnXavyNpY011huN3VlJSgrKyMnz44YcIDw/nX+vWrUNFRQXCw8P5eaZr0rZtW5SUlNQZ8zfq448/rlcc15QA8XpFRUUYPnw4TCYT/v3331rrco7j0L59e/Tv3x+enp7Ys2cP7HZ7o9XJc+bMwXvvvYft27dj+vTp1Sa2y87OhtlsvuVYbvSGrSP72Oeff+60/NNPPwWAKunbc3Jy+LFoQGW66V9//RVdunTh+/9bLBZcvHixyh2h+qYjb9++Pdq2bYvvvvvO6Y/2zTffgOM4TJo0iV+m0+lw8eJFpx90TSfXH3/8ERzHOWVBnDp1Kmw2G3755Rd+mdFoxIoVK9CuXTv+7lNhYWG104f88MMPAKpmmLte9+7dIZFIqpxMbpVjPE99XvUZz/PUU09h1apVWLp0abWTZ9fmlVdegdVqxYIFC/hlMTExYIxh9erVTuuuXLkSAG44i93QoUOxcuVKXL58GSNGjKgyHkSn0yE1NRV9+/a9of3eDu70WK5u3W+++QYajQYjRoyotZyXLl3CsmXLMGbMmDqf2Pbp0wdA1QuDW+UYY1ufV11sNhumTp2K+Ph4rFmzhi9zfdjtdrz44otQKBR44okn+OUxMTHIz8/H3r17nda/2Vh+8MEH8fnnn+PgwYOYOHFild9SYmIijEbjHRfLt2Mc3wiqk51Rndx63Y6xPH78eIjFYixdupRfxhjDsmXLEBgYyP+do6KiIBAIsGrVKqc4zcrKwoEDB/jfmY+PDzZs2FDlNXjwYMhkMmzYsAGvvPJKrcfUp08fMMbqnNHgRj300EP1iuMVK1bUua/y8nKMGjUK2dnZ2LJlC6Kjo+tdDoPBgDfeeAP+/v6YNm0avzwmJganT5/mb344rFy5EgKBAJ06dar/wQJ47bXXsGDBAqxZs6ZKLgPgfxmZbzmWb6Ufc00TSF/PkU1typQp7Ouvv+b/PWHCBKf1QkNDWUxMDHN3d2cvv/wy++yzz1jHjh2ZQCBg27Zt49dLS0tj+P9smdV9Tn0yAf7zzz+M4zg2ZMgQ9t1337Gnn36aCQQCNmvWrGqP8dqxbPPnz2c9evRgr7/+Ovvuu+/YokWLWFxcHAPAnnrqKaftKyoqWPv27ZlYLGbPP/88+/LLL1lcXBwTCoVOY00+++wz1qZNG/bSSy+xb7/9ln388cds2LBhDAAbO3ZsncfDGGNjxoxhffr0qfH95h7P89lnnzEArE+fPuy3336r8rq27/3ChQvZAw88wL788ku2dOlSNnz4cAaAvffee077LCwsZH5+fkwikbCnn36affvtt+zxxx9nQqGQtW/fnplMplrLVNNv2DGZ/MCBA5nBYOCXr127lgFgly9fboBvpOWgWK47luVyOZsxYwb75JNP2Ndff82mTZvGOI5jXbp0YeXl5U7rxsbGsjfffJP98MMP7LXXXmOenp4sNDSUZWVl1Xk8jDHWoUMHNm3atBrfb+4xtvPnz+fPTdXF8rWefvppNnv2bLZ06VL2xRdfsF69ejGO49ivv/7qtN7FixeZUqlkKpWKvfLKK2zZsmVs2rRpDAAbNmxYnWVyjLHVaDTVLr/vvvucxqd9/PHHTKFQVDsGqbW6U+OYMcZ+/fVX9u6777JXXnmFAWCDBw9m7777Lnv33XedMpRTnfw/VCe3XHdyLL/wwgsMAJs9ezb7/vvv2ejRoxkAtmLFCqf1HnvsMT7WlyxZwj744AMWFBTEhEIh27dvX53fW33H2JpMJqZWq9krr7xS4zrNPcZ2/PjxDACbOXNmlTjesGGD07qTJ09m8+fPZ99++y376KOPWGxsLJNKpWznzp1O6+3bt48JhULm4+PD3nnnHfb111+zkSNHMlSTibs61X3HdrudzZgxgwFgL774otN78+bNYyEhIcxut9/cl/D/mqRha7FY2Ntvv83Cw8OZWCxmwcHB7JVXXmFGo9FpvdDQUDZ69Gj277//sk6dOjGpVMratm3L1qxZ47ReQwQeY4xt2LCBdenShUmlUhYUFMRef/31KoPwqwu87du3szFjxrCAgAAmFouZi4sL69evH/v555+r/YPk5+ezhx9+mHl6ejKpVMp69erldCJhrPJCdfLkySwkJIRJpVKmVCpZt27d2KefflqvqS4YY2z9+vWM47hqB+0z1vyVqOPvU9Pr2r/bpk2bWM+ePZmLiwtTKBSsd+/ebPXq1dXuNysri82cOZOFh4cziUTC/P392axZs6pc4Fantt/wxx9/zACwMWPG8H+DqVOnsv79+9/cF9CCUSzXHcuPPfYYa9euHXNxcWFisZhFRUWxl156qdqG0X333ceCg4OZRCJhAQEB7IknnqgzkdG1Pv30U6ZSqWpMXtXcDduBAwfWGsvX+vnnn1nnzp2ZUqlkLi4ubOjQoU7TUFzr4sWLbNKkSSw4OJiJxWIWGhrKnn/++So3DqpTU8OWscopmACwJ554gl/Wq1cvNn369Bs88pbtTo1jxmr/TV5/sUl1ciWqk1uuOzmWbTYb++CDD1hoaCiTSCSsffv27Pfff6/22JcsWcK6dOnCVCoVU6lUbPDgwTXWL9cfT30btoxV3qCNioqq8f3mbtg6pnOq7nX9dEGLFy9mbdu2ZTKZjHl4eLBx48ax06dPV7vfo0ePspEjRzI/Pz8mFotZTEwMe//99+t1DqzpO7ZarWzChAkMAFu4cCFjrPJv7u/vz15//fUbPvbrcYxV09emmYSFhaFDhw7YtGlTcxelVbLZbGjXrh2mTJmCd999t7mLc9vJy8tDeHg4/vzzT4wfP765i9OiUSzfGp1Oh4iICHz44Yd49NFHm7s4t50zZ86gW7duOHXqVION37wdURzfGqqTGxfVyfVHsXxrrly5grZt22Lr1q0YOnRocxfntvPXX3/h/vvvR2pqar3zfNSk0cfYkqYjFArxzjvv4Ouvv+bn6yMN5/PPP0fHjh2pAiWNzs3NDS+++CI++uijapMskFuzaNEiTJo0iRq1pFFRndy4qE4mTSUiIgKPPvooFi1a1NxFuS0tXrwY8+bNu+VGLQDQE1tCSIOjWCak9aM4JuT2QLFM7hT0xJYQQgghhBBCSKvWop7YEkIIIYQQQgghN4qe2BJCCCGEEEIIadWoYUsIIYQQQgghpFWjhi0hhBBCCCGEkFaNGraEEEIIIYQQQlo1atgSQgghhBBCCGnVqGFLCCGEEEIIIaRVo4YtIYQQQgghhJBWjRq2hBBCCCGEEEJaNWrYEkIIIYQQQghp1ahhSwghhBBCCCGkVaOGLSGEEEIIIYSQVo0atoQQQgghhBBCWjVq2BJCCCGEEEIIadWoYUsIIYQQQgghpFWjhi0hhBBCCCGEkFaNGraEEEIIIYQQQlo1atgSQgghhBBCCGnVqGFLCCGEEEIIIaRVo4YtIYQQQgghhJBWjRq2hBBCCCGEEEJaNWrYEkIIIYQQQghp1ahhSwghhBBCCCGkVaOGLSGEEEIIIYSQVo0atoQQQgghhBBCWjVq2BJCCCGEEEIIadWoYUsIIYQQQgghpFWjhi0hhBBCCCGEkFaNGraEEEIIIYQQQlo1atgSQgghhBBCCGnVqGFLCCGEEEIIIaRVo4YtIYQQQgghhJBWjRq2hBBCCCGEEEJaNWrYEkIIIYQQQghp1ahhSwghhBBCCCGkVaOGLSGEEEIIIYSQVo0atoQQQgghhBBCWjVq2BJCCCGEEEIIadWoYUsIIYQQQgghpFWjhi0hhBBCCCGEkFaNGraEEEIIIYQQQlo1atgSQgghhBBCCGnVRM1dAEIIIYTc3hhjTv/mOK6ZSkIIIeR2RQ1bQgghhDQau92OgoIC5ObmQigUwt/fH2q1GgIBdRojpCVjjNFNKNKqcOz626gtlN1u54OLgowQQghp+ex2O86dOweLxYK2bdtCJpPBbDZDo9EgJCSEGreEtCB2ux0GgwEWiwUikQhSqRRisbi5i0VIvbWKGsVqtSIrKwvnzp3DlStXUFFRcUPbt5K2OyGEEHLbYIwhOzsbBw4cgIeHB5RKJUQiERQKBdzc3JCbm0v1MyEthOMmVHp6Omw2GwBAq9WiuLi4mUtGSP21+IatzWbDwYMHYTKZEBUVhaCgIOh0OpSUlNSrQmSMwWazwW63UwVKCCGENKHU1FTk5+ejpKQEZrOZX261WlFQUNCMJSOEODDGcOHCBaSmpiIgIACenp5QKBRQq9XQarUoLy+na2jSKrTohi1jDPv374der4evry/kcjmkUil8fX1hMBhgtVprDTSTyYRz584hNzcXWq0WWVlZsNvtTXgEhBBCyJ3Lbrfj8uXLOH36NM6fP4+8vDzk5OTg0qVLKCsra+7iEXLHY4zBbDZj+/btKC0thdVqBVA57I/jOLi4uCAnJ6eZS0lI/bTY5FGOQDt69ChCQkJgNpudxtja7Xbk5OQgNDS02u1tNht27dqFkJAQ+Pr6QiwWQ6lUIjU1FVFRUTROlxBCCGlkUVFRsFqt2LdvH4qKihAUFAShUIji4mLcddddzV08QggAi8WCwsJCGI1GpKWlQSaTQaFQwGw2o6CgAGazmRJJkVahxTZsgcpAKy4uhsFgQEBAANq1awelUomKigpkZGRArVZXu52jS0ViYiJiYmIgElUepkQigZubGwoLC+Hl5UUBSgghhDQSjuMQHByMZ555BosXL8amTZvg7u4OFxcXTJ48GR06dKB6mJBmxnEcpFIp3N3dcfToUcjlchQUFMDLywtmsxlXr15FbGwsxSppFVpsw5bjOMhkMvj5+WHfvn2QSqUoLCyEu7s7TCYTcnJyMHTo0GrvIHEch5KSEmRnZyMrKws+Pj5QqVR8tje9Xg+1Wk1BSgghhDQijuPQt29ffPrpp3j77bfBcRw6duyIgQMHQigUNnfxCCEARCIRxowZg127dmHXrl38wyOz2Qy5XI677767uYtISL202IYtAAiFQjzwwAM4ffo0tm/fjgsXLsDV1RUWiwW9evVCQEBAtdsxxiCXy5GRkYGDBw+irKwMgYGBfHblNm3aNPGREEIIIXcmgUCAyMhIdOjQAbm5uXzPKbrBTEjLwHEcYmNjsXjxYixbtgwXL15EcXExOnTogHnz5sHT05NilbQKLTp5FMdx8PHxwQcffICHHnoIUqkUZ8+ehVQqRUBAALKzs2vctl27doiOjsa+ffuQkZGB8vJy7N27F3l5eQgPD6e58wghhJAmFBERgaKiIpjNZprqh5AWRiAQoGvXrvjss8/w5ptvwsPDAx07dkReXh7y8/Mp+SppFVp8647jOAQFBeGhhx7CF198gYceegharRaFhYVISEiA0WisUjlyHAeVSoVXXnkF/fv3h9lshlQqhbe3Nx588EHIZLJmOhpCCCHkzuN4IlRUVASdToe8vLzmLhIhdzzGGP9ykMlk6Nq1Kzp06ICUlBTk5eXV+iCJkJakxTdsgcoKUSQSQalUYtKkSbBarUhKSkJpaSnOnDlTJSgd3N3dMWzYMJjNZpSXl/PJp6g7BSGkNWCM0RzcpMVgjMFqtcJisdzw75LjOISGhsJut0Or1UKv18NisdBvm5BmwhiDRqPB1atXUVpayseiQCCATCbDgAEDkJOTA61WiytXrsBms1G8khavVTRsHQQCAdRqNWbOnInTp08jIyMDaWlpSE9PR0VFBZ+O3MHx/zqdDqWlpaioqKCgJIS0Co5GhF6vh16vr3PebkIaU1lZGU6ePIm0tDQUFRUhLy8PxcXF9f5NMsag1+shFouh1WqRmZmJP/74A2fOnIHBYGjk0hNCHBhj0Ol0OHDgACoqKhAQEACO45CZmQmTyQSg8kZU//79IRaLkZ6ejvz8fKSkpPDX2VQXkZaqRSePqsmAAQOwYcMGJCUlQSQSoaioCFKpFCqVChEREejSpQukUimAyuAsLy9Hbm4uzGYz7HY7P+k0IYS0RIwx5ObmIiEhAdHR0fD29oZGo4FCoYCrq2ujnL+uvVDhOI7mLCQ8s9mMXbt2ITQ0FJGRkfxc8hkZGVAqlXUO72GMITU1Fb/99hu8vb3h7e0NNzc3aDQabNq0CVevXsXIkSMhkUia6IgIubMdP34cdrsdAQEBEIlEUKlUkEgkKC4uhp+fHziOg6enJ4YPH46///4b7u7u2Lp1K7y8vKBWq9G7d2+aNpO0SK3qiS3wv/m2Jk6ciIKCAmRnZyM3NxcajQbp6enYvn07Vq1aBY1Gg3379mHdunWw2WxITU3FmTNn8NtvvyEzM5MGwRNCWiTGGK5evYo1a9bAxcUFvr6+UCqV8PX1BWPshp6S1ZfdbkdBQQESExORnp4OjUaD8vLyBv0M0jrZ7Xbk5uYiMTHR6UmNQCCAu7s7MjIyav09MsZgNBrx22+/ITk5GV5eXggNDUVMTAzCw8OhVCpx7NgxnDp1ip4CEdIEGGPYv38/ysvLYTQa+eUCgQCpqal8HFqtVnh5eaGiogI6nQ5lZWXIycnBuXPn8MsvvyAlJYWupUmL0+oatowxmEwmnD9/Hq6urhAKhfDz80NMTAwiIyPh5uaG5ORkfP/99/jhhx+g0Wjg7++P6OhoBAYGIicnB2vXroVWq6VKlBDS4thsNvz99998t02RSMT3MnF1dQWABu0KxhjD5cuXsWPHDhiNRgQGBsLT0xM6nY7OkwRA5RPbzMxMJCcnIzMzE+Xl5dDr9cjNza02geO1HL0PDh06BJvNBpFIBIlEArlcDqVSCalUCrvdjr1798JqtTbhURFy59JoNEhMTMSFCxeg0Wj44QFFRUWw2+2w2+04ceIENmzYgMjISKjVaoSHhyM6Ohq+vr4wm83YuHEjNBoN1RGkRWl1XZE5jkNOTg52794NhUIBiUQCpVIJNzc3MMZQVlaG4uJiXL58GYWFheA4Dh06dEBQUBCsVitsNhtyc3Oxe/du3HvvvdSNghDSYjjOYQkJCVCpVCgsLERZWRk8PDz4dcrKyuDq6gqR6NZP34wxlJSU4Oeff0ZkZCTc3d35/QYEBCA/Px8KhQJisZjOlXcojuPg5eUFsViMXbt2obi4GIGBgZBIJPD29uaTM6pUqiq/EcYYDAYDtm7dCr1eD7lcDp1Oh4KCAr67u16vR0VFBWw2G3Q6HTw9PWk6PkIaWbdu3bBx40ZYLBaEhoZCIpEgNDQUAoEAFosFALBlyxZotVoEBwdDoVDA3d2dj3OdToecnBzs27cP9957L4RCIdURpEVodQ1bxhgyMzORl5eHwMBAvouEUqkEAJSXl8NkMvHdp6RSKTiOg8lk4jOMWiwWnDt3DsOHD4eLiwsFIyGkRTGZTNBoNEhOToZCoUB0dDTkcjkqKipQUFAAf3//BvusCxcuICUlBX5+figtLYXdbucvUiQSCQwGA419vINxHAd3d3fMmjUL7733HtatWwdPT08YDAaMGjUK7dq1w4kTJ9C1a1f+BrNAIABjDDk5OVi2bBlWr14NjuMgk8kgk8nAGINWq4VAIEBRUREsFgs4jkN2drbTTZz6cPRecNTjVJ8TUjuBQIBJkyYhKysLu3btglQqhc1mw4QJExAVFYWjR48iNjYWiYmJsFgsMJvN/LW2zWZDeXk5zGYzbDYb0tPTYTabIZfLm/uwCAHQChu2QGXFZTQa+aezQqEQZWVl/H/1ej0MBgO8vLzg4+OD4uJiXLlyBQBQUlKCsrIyWK1WGI3Gau8yE0JIc+A4DkqlEl27dsXy5cvh4uICo9GI3NxcKJVKVFRUwMvLq0HvjqvVauTl5SE9PR1+fn5wc3ODr68vgMruaj4+Pg3yOaT1cvR8+vDDD3Hu3Dno9XrIZDL8+eefKCgoQJs2bbB//36EhoYiMTERBQUFMJlM2LdvH06fPo3S0lKo1WpotVoIhUKYTCaUlJRALBYjOzsbZrMZMTExWL16NaxWKzp27FivmykGgwGZmZmwWCxQKBRQqVTw8PBokN4MhNzOPDw88Pzzz2P06NHIz89HXl4eNm/eDIPBgODgYBiNRpSUlMBqtUKr1fIJWeVyOQoLC/npusrLy6krMmlRWt3Zn+M4BAcHQ6VSQafTQSAQQCAQoKysjJ8ew2QyQafTwWQyoaioCAD4BrDJZOIbvXK5nBq1hJAWRSQS4d5778Xp06dx7Ngx5ObmIiAgAHK5HGFhYRg4cGCDdNV0JPXZt28fzGYzzp49C4lEApPJBH9/f4jFYhiNRoSEhFCGZAIACA4ORnBwMP/vqKgofPzxx8jNzYVarcb69evh7e0Nm82GdevWQa/Xw2g0onv37ujbty82b96M/Px8VFRUQC6XQygUwmAwoLi4GGazGRaLBX/++Sfy8/MxdOhQ/mK6OlarFbt370ZAQAA6d+7M98xKS0tDREQEhEJhU3wlhLRaLi4u6NmzJ3/tLJfLsXLlSoSHh0Ov16O0tBQmkwkikQh2ux0VFRXgOA6pqakICgqCUCiESqWqNdYcjV6qP0hTaZUDWfz8/HDPPfegrKwMBQUFEIlEsFgsyM/Ph0ajQWFhIUpLS/m7UHl5ecjOzkZOTg4KCgpQWFiI7t27Q6lUUrARQloUx827d955B6NHj0ZKSgpOnToFgUCAxx57DD4+Prd83rLZbNBoNFi+fDlKSkrQp08fZGZm4tChQ9i7dy+2b9+Ow4cPw9PTkx/OQYgjiZnj1aFDB7z//vuw2+04deoUhEIh1Go1YmNj+Qvfrl27Ytq0aRg+fDiio6Ph4eHBN2Z1Oh0CAgIwc+ZMtGvXDklJScjMzMT27duxdu3aGp8G2e12HD9+HJcuXYKLiwu/XCqVwtPTs8qc9oSQmnEcB5FIhIkTJ2LAgAFITU2FVCrlhwwUFRVBo9EgNzeXn40kIyMDAPiek9Wx2+1870iLxUIxSZpEq3tiC1R2hXj88ceh1Wqxe/duAJUBlJ+fD47j0KlTJzz44IP48ccfceTIEWg0GpSWlvINYKVSSV2QCSEtWmBgIIYPH45Vq1ZBLpfDx8eHz4pcX9dmT772fJeamorVq1fDYrFAJpNBIpFg3LhxKC8v56f5GT16NDp16kTnSVIjgUCAwMBAdOrUCVlZWRCJRJBKpfDz88Mrr7yCy5cvIy8vD/v370dxcTHmzZuHyMhIJCQkID8/H4GBgYiJicH+/fsRGxsLT09PHD58GAaDAVarFcXFxZgyZQq8vLxgs9kgFosBVP6uT548iZKSEmg0GoSEhEAsFoMxBpvNhqysLH6+XUJI3TiOg1gsRkFBASQSCWQyGXr16oVz584hOzsbBoOBT9iqUChw9epViMViCIVCLF++HA8//DACAgKcYi4pKQkcx/FT1Tm6ORPSmFplw5bjOPj5+eH5559HSUkJOI6DUCiEr68vxo8fj5EjR8Lf3x9hYWH4448/sH//fpSWlsLFxQXFxcVQKBQ4dOgQ4uLiEBQURJUfIaRFYYyhvLwcqampsFgsMBgMSEtLw2+//Yb+/fsjMjKy1u5fdrsdJpMJ6enpuHTpEhhjCA8PR1BQENLT07FmzRrYbDZIJBJkZWWhbdu2uP/++yESifjcAwqFgs6NpE4CgQBJSUkwmUyoqKhASUkJ8vLyIJPJIBKJcOXKFWi1WvTp0wf9+vWDTCZDaGgonxWZMYbg4GCsXLkSY8eOhVqtxs6dO5Gamgqr1Yply5ZBqVSCMQYfHx/06NEDnp6eyMrKQmpqKvz9/SGTyeDr6wur1YqMjAz4+/vTb5eQG+DIkJ+cnAy73Q6z2YzIyEjExcXhzJkz2LJlCz/vbZs2bSCTyZCQkAChUAiRSISVK1di5syZ8PDwgN1ux9mzZ5Gfn4+4uDh4enqCMYbS0lJcuXIF4eHhFJ+k0bTKhi1Q2bj19PTkp6SQy+WYOHEiRowYAV9fXwgEAoSEhOCll17Cs88+C4vFgosXL+Knn37CmTNnkJ2djV27dmHatGmQSCQUZISQFoExBo1GgyVLluDkyZMwGo0wGo3Q6XTIzc3F+vXrMWjQIPTo0aPGsbaXLl3CqlWrkJKSAnd3d7i6uuLkyZNwcXFBWloaJBIJ7HY7tFotRo0ahREjRvDnQUemeDonkvpgjEGlUvEJpUQiEcrLy/nx2nK5HAKBAGq1mu/Wfn0GY6FQiOnTp2Pbtm3o168fwsLC8PvvvyMjIwNGoxH+/v5wcXHhsywXFRUhISEBJpMJAFBUVMQ/FTKbzejWrVuzfR+EtFaOG6ImkwnFxcWQyWQwGAxwdXVF+/bt4erqCrvdjvHjx2PAgAFYvXo1li1bBpFIBMYYfvnlFzz44IMwmUzYtm0b+vbtC5VKBQD8POxmsxlarRbu7u5Ux5BG0WobtkBlkhWlUgm73Q6gchJ5s9nsVGlyHAepVAqJRIKOHTuiX79+SE5ORmFhIY4ePYpBgwYhNDS0OQ+DEEIA/G/ezx9++AGnTp2Ci4sL/yTK19cXYWFhKCoqwt69e5GSksInwXN0N3YkeVq7di1ycnKgVqvh7u4OPz8/yOVylJWVQaFQoLi4GBzHYfr06Rg4cGC1jQ1C6mvQoEH4559/UFJSwj+ZkUgkfENToVAgKiqq1qRnAoEAw4cPx/Hjx+Hu7o4OHTogNTUVbm5u8PPzg5+fH9LS0nDkyBFotVrodDp4eHggLy8Pu3btgpubG0JCQjB9+nRKDEnIDbr2YZEjkSAA6PV6iMVieHh48NfYoaGh8PLywvjx45Gfn4+///6b70H09ddfg+M4pKWlITY2FhUVFXwSOMYYP2f1jU7rdSejKc1uTKtu2AL/+4OLRCIEBgby89lezzEn48CBA3Hp0iXs3r0beXl5WLt2LZ566il6aksIaXaOC4LNmzdDpVJBKpVi3Lhx8Pf3R5s2bSASiWCz2VBYWIhjx45V6Y7sOB/a7Xb4+vpCIpHAxcUFPj4+cHd3h06ng9FohMFgwHPPPYewsLAGybBM7mz9+vXD2LFjsWnTJhgMBsjlcr5OlUgkePDBB2usmx0cY/x69eqF+Ph4nDt3Dq6urpBIJFAqlXB3d4dcLodGo0FJSQmio6Px66+/wt/fH0lJSRAIBOjQoQMlhSTkJolEIjz44IM4e/YsCgsL+R4XjrHtFosFbdu2RceOHSEQCBAcHIz77rsPALBhwwaIxWIIBAJIpVJcvXoVSUlJ8PDwQExMDBQKBcrKypCamoqQkJDmPMxWxZHAS6PRQCKRwMfHh27c1aHVN2ztdjt/V9gx0XtNHIPYu3btioSEBBQVFSE5ORknT55Ez549G3RuSEIIuVF2ux0XLlyATqeDVCqF2WyGzWaDVCqF0WiEUCjks0uWlpbyT14BVHs315F0x9GrRSgUQigU8t2T6XxHbpWji+GCBQvg6uqKVatW8QlogoODMXPmTAwbNqzeN1AEAgFyc3NRXl4OqVSK8vJy6HQ6KBQKeHp6YtCgQcjLy0NERARCQ0OhUCjQu3dvfltCyM3hOA79+vXDrFmz8MMPP6CwsBBisRhisRgcxyE6OhozZsyATCbj64527dqhT58+OHz4MD+PtK+vL06dOoWjR4+CMYacnBy4urrCaDSivLwcnTp1oink6sFut+PixYtITk5Gt27d4OPjA6PRCLPZDDc3N/r+atDqG7aOpxM2m42fY6u2gBGLxRg1ahQOHTqE4uJi5OXlYefOnZBKpQgICICPjw+EQiHNvUUIaXKOrsiOhFHl5eUoKSnhs1KKRCKUlpaitLQUAoEAbdq0gbu7OwoLC2EwGGAwGHD06FGYTCao1WrIZDIUFRVBJpPxiT9KS0v5cbuENATHTeMFCxZAr9dj586d8PT0RKdOndCxY0fI5fIb2p9AIIDJZEJZWRkKCwshFAqh0+kgFArh5+cHmUwGxhgEAgGNByekAcnlcjzxxBPo1q0btm7dirNnz+L8+fNwdXVFnz590KZNG35dRw+hS5cuQSgUQiwWQ6FQwGq14vLly7h69Sqf/dzFxQVqtRozZsyAWq2mmK0DYwwZGRlYvnw5Bg4cCA8PD8hkMr4ut1qtEIlE9D1Wo9U0bK/vY+6YUNqR3h8Arly5gr1792Lw4MG1zvUoFAoxbdo05OTkQKfTITMzE5s2bYKrqytCQ0Nx99138/NvSaVSKJVKuhNMCGlUdrsdGRkZOHz4MKxWK//EynGjTa/X81OWlZaWws3NDREREfDx8UFoaCjS09OhUCiQmprKPzErLS2FRqOBzWaDQqHg92O32yEStZrTP2kFBAIB5HI5IiMjsX//fri6uiI4OBgGg+GGLr4YY+jYsSMkEgm0Wi0EAgFsNht0Oh1EIhE/L2abNm34LpKEkIYjFArRu3dvxMXF4dKlS5g+fTqUSiXS09NRVFTEd4XlOA52ux0nT56E1WqF1WqFyWTiG7FZWVkIDg6GTqcDYwyPP/44OnToQI2xejp79iyysrJQUVEBs9nMLxeJREhLS0N0dHQzlq7lahVXNuXl5bh69SpkMhlfkbm6uuL3339Heno6/Pz84OnpCYlEgpSUFFy5cgWjRo1Cp06dqm2QchzHTw7v5+eHoKAgvsteYmIisrKy0KtXL3Ts2BEAkJKSgoiICH4wPSGENBTHTbsTJ07gq6++Qk5ODlxcXPgnVI6pFxz/BiobwY7EdwKBAJ6engCAiooKhISEIC8vDzqdDhzHwWazoby8nO8+ZrFYEBMTAy8vL7rAIA0uPDwcYrEYRqMRGRkZ6N69O2w2W71vpAgEAkRFRWHixIn49ttvYbPZYDQaIZPJ+Js8Li4uGDVqVK1TXhFCbp5jGs3w8HAMGTIE+/btw+nTp3HixAkEBQU5rXttb6CioiJIJBJMmzYNRUVFcHFxQWlpKWw2Gz/N152uvt2wrVYrsrKykJKSAl9fX3To0AEymQw6nQ4VFRVNUNLWqUU3bB1PZQ8cOIDw8HD4+vryFea+ffuwe/dueHt7w9fXF0FBQZBIJCgpKUF+fj527NgBb2/vKhNGA5UD4NeuXQuO46BUKuHn54fAwEB+DryrV68iJiaGn5ogPDwcWVlZNPcWIaRBMcZgsViwd+9eLF++HBqNBna7nZ/4XqfTwWazwWw2QyKR8GOdevfujXHjxsHDw4O/cx4ZGQnGGIKCgvDoo48iIyMDAPiGgSOZj0qlwj333EO9UEijCA4O5huxJSUlSEtLQ7t27fjfan0IBALMmDEDZWVlWL16NQoLCyESifinwqNGjUL37t2btD622WywWCz8OPWmih+73U7ZUEmzcCR/Gzp0KPbv3w+hUIh9+/Zh0KBBfFZjjuMQFRWFS5cuQSaTQSAQwGq18j0dNRoNKioqoFKpqvS8bEqOXphWqxUSiaRZcurY7XYYDAZUVFRAqVTy31dNAgICYLPZcObMGQiFQhQVFUGlUsFkMqF79+5NWPLWpUVf2TDGsG3bNhiNRn66CpFIBJVKhaioKISGhsLNzQ0qlQpqtRpeXl5wc3ODVCpFVlYWTp06xY+VdbDb7bhy5QqSk5P5H7Yj0AQCAX9HeMeOHUhJSQFQ2S2joqKCT1RFCLkzOCrixtp3WVkZfv31V3z++ecoKiriuxt16tQJCxYsQGRkJKxWK4qLi1FcXAzGGOLi4vDss89CrVbzYwwdOI5DREQEFi9ejK5du8JqtaKoqAgFBQXIzc2FVqvFpEmT0KtXL2rYkgbHcRwCAwOhUqlgtVohFovh7+8Pm812wxeRnp6eePnll/HLL79g8uTJCAoKgtFohIeHB3/jpykwxlBYWIjDhw/jypUrKCwshEajgcFgaPTPdmRAz8vLg9FobPLrD0cOk8Y8D5KWzZFQKjQ0FBUVFUhLS0N6erpTQsKxY8dCKpWiqKgIhYWFyMnJQWZmJjIzM5Gfn4/i4mK0bdu2WXoJMcZQXFyM/fv34/z589BqtSgqKkJaWhp/DE2hrKwMO3fuxNGjR2EwGGAymVBUVFTjeYTjOHTv3h2zZ89GTk4Otm7dihMnTqCsrAxBQUHw9fWlG101aLFPbB0XfadOnUJMTAyf7djREFWr1ejatSuysrJQVlbGTw7vSLxit9uRmpoKi8VSZSofrVYLk8kEg8EAnU6HvLw8/sRdXFwMk8kEjUaDc+fOwcvLi0+13bZt2+b6OgghTchxEeeo+BxPRRuyItHpdPjuu++wY8cOcBwHg8EArVaLF154Ab6+vnB1dcU999yDpKQkaLVaCIVCREZGomPHjlAoFDXul+M4xMXF4ZNPPsEvv/yCwsJCnD17FklJSQgPD0dgYCA1akmjcPQICAkJQUJCAgoKCqDRaG76SY1YLEbXrl2h0+kQERGBZcuWwWazobi4GAaDodGn9nE0ateuXYsePXogKioKYrEYdrsd+fn5TtlhG5rFYsHOnTvh5+eHsLAwFBcXQ6FQwN3dvUkuaB2zTeTm5oLjOLi5ucHV1ZXOHXcYR0yPHTsWn3zyCbRaLfbt24cOHTpAIBCAMYZu3bph8uTJ+PHHH2GxWGAymfipf2w2G/z8/DB27NhmGc5ntVqxceNGuLu7o2vXrnB1dQUAmEwmFBQUNEkDkTGGrVu3Ijc3F8OHD+frYLvdDq1WW+N5RCqV4v7770dYWBjWrFkDoVCITp068T23SPVadMPWUYE55r2KjY2FQqGAyWRCVlYWLly4gOTkZMhkMtjtdkgkEv7isLy8vNo7IRzH8Y/3tVotxGIxbDYbioqK+EyMOp0OZrMZ6enp+Pvvv1FWVobevXvTdECE3AEYYygoyEFOzlmIRKchkZRBqYwBx/WAj08biMU3Vjk7GslWq5VP2nT16lV8+eWXuHDhAhhjKC8vh1KpxOuvv47ExERMmDABCoWCb8xeqz7nII7j4OnpCY7jMG7cOMjlcpw5cwZWq5Ufe0tIY2nbti1OnjwJu92OEydOQC6Xo0+fPvD29r6hhpHjdxocHIyUlBSoVCpYLBbo9Xro9XooFIpG/y2fPn0aKSkp6Nq1K7/M0SW6uLgYHh4eDd7Ys1qtWLt2LQwGAzp37gx3d3e4u7vDYDDwwxIa+7g1Gg02b96MmJgYvttjRkYGgoKCKGnXHYbjOIwYMQLfffcdRCIRTp06hb/++gt+fn5Qq9UICwvDU089heDgYKxbtw55eXn8tbRarebroubohpyVlYX4+PgqY/IlEgnKy8sbvUyO+n3jxo3o1q2b0+cJBAKIRCKUlZVBpVJVWw6xWIz+/fvDw8MD7733HjIzMwEAgYGBlGOgBi22YSsQCODi4oLg4GAcOXIEMpmMr0RMJhMuXryI3bt3w2AwICgoCGlpaXwj1TFNgLe3d5WEFY6GbVxcHHbs2AGgsruPY/qMa7Mhx8fHw9/fHyNHjkSXLl3oYrAerr8zT98Zqcu1v5nm/r0wxnDx4ilcuPAx/P1Pom1bO9zdK4cnmEy+yMx8FOHhD4Lj6lehVDaSC3DkyBFoNBpwHIfQ0FD8+eefyMzM5Oej7dGjByQSCWQyGWbPng2VSnVLF8uO/AFCoRBnzpzBlStXnJ4+19St0PF3oDkGya0IDw+HTCaDh4cHysrKEB8fj+zsbMTFxaF79+43dEHGcRxkMhnCw8MRFhaGxMREFBcXQ6vVwt/fvxGPopJer0dmZibS0tIQGBgIPz8/2O12lJSUOCVuayh2ux2FhYU4cOAAOnbsyM/+wHEcxGIxEhMT0alTpwb9zOrK8Pvvv8NoNKJHjx6QSqUAgJCQEGg0GuoGeYdhjMHNzY0fa1tRUYEDBw7AxcWFz4R+9913Y+rUqbjnnnuQmpqKrKwsfPDBB7Db7SgtLcXx48cREhLS5OV2TOuZn58PjUbDJ6Gz2WwoKyvjx9w2ppKSEuTm5qKgoADZ2dkICAiAq6sr3yvCaDTW2vtEKBQiKioKNpsNycnJ6NKlC/Ly8qrNIURacMMWqPxjPvjgg0hOTsaOHTuQnJwMNzc32O126PV6VFRUQCKRoKKiAjk5OXwj1mq1wsPDA3FxcVXGoDn2O3/+fGi1Wpw4cQIikQjl5eX8U99x48Zh6tSpEAgEkEgkcHFxaZI7I6197lzGGIxGI3Q6HQQCAVQqFZ8WnpDrOcZvlZaWwm63Qy6XN2rXvvqU5+LFBGzc+Do6dEhCcLAY7u7uEAhUAOxQKEoRGPgFcnLE8PefDI6rvTuQxWLBkSNH8Mcff8BiscDFxQVKpRLbtm1DcXExfxOuQ4cOcHd3xwMPPAB3d3f4+fnd8hOgiooKbNq0Cfv374eXlxcKCwtht9thNBpRUlLCV6TXl9cxzlcul/NjeAmpL8YYsrKysG3bNoSFhSEkJAT+/v4QCoUoKSnB5s2bIZFI0Llz53rHOWMMcrkcJ06cgEQigdVqhVarRUlJSZOcK0JCQqDT6XD48GEYjUaEhYWB4zhoNBrcc889jfKZRqMR+fn5UCgUSEpKgkKhgEqlQllZGXQ6XaN8pgNjDFqtFocPH0Z0dDSKi4thsVj47o+OrtjVXVuR25der+cbU0FBQfDz84OHhwf0ej0SExNhsVgwdepUeHh4oHv37ujWrRtMJhPeeOMNeHl5ISEhAUOHDuWf3jYVtVqNkpISnDt3Dq6urigpKYGrqyvKy8uRlZWFDh06NOrncxwHd3d3iMViXLhwAZ6enrDb7QgKCoJAIEBmZiZ69uxZ63fCGINUKkWvXr1w/vx5REVF4erVqwgICGjUsrdWLbphy3EcfHx88Pbbb2PDhg1ITk4Gx3Ho2bMnBgwYgG+//RYrV66EwWCATCaDSCQCYwxCoRD33HNPjXM8ObK4LVy4EOvWrcOOHTtgMBgQEhKCiIgIzJo1i89W1hRPLhhjMFRUwKjVQiSVQuXhAa4VVhoajQbHjh1DREQEgoODYTabYTAYnE5krb3xThqOTqfD6dOnERISAnd3d37se3NNCWC32/Hvv3/BZLoAmUwApVIGgcATHKcGwABoIJHkQyb7HjpdH7i5hYKxmp8yJyYm4uuvv4bNZoO3tze8vLzg4+MDb29vnD59GpcuXYKLiwvGjx8PiUSCoKAgfvzPrWCM4d9//8Xy5cv5Xi7dunVDcXExRCIREhIS4OPjg2HDhvFlN5vN2LZtG9RqNdq2bQu5XI6CggJ4eXnRfLek3ux2O3bu3In09HQEBwfD09MTISEh/I3h8vJy7Nu3D7GxsfXuTstxHDw8PNC/f38cPHgQx44dg9ls5jOIN+bNF47j0LFjR4wbNw4rVqxARkYG/P39oVarMXHiRLi4uDT4uYrjOHh5eSEsLAynTp2CUqlEaWkp1Go19Ho9YmNjG/TzamKxWHDp0iWEhIRArVbD398fJpMJFRUVN5ThmtweduzYgfT0dAQGBkKtViM0NBQqlQpSqRSlpaU4d+4cBg0ahJCQEP7aOTQ0FL6+vigvL0dKSgoyMjIavIdDbTiOg7+/P4YMGYKdO3fCarUiPT0dbm5uqKiowKhRo2o8f1zbe8mxr5ulUqkwceJELFmyBAKBAFqtFj4+PhAKhQgNDYWrq2ut+3ckt+3atSsOHjyIgoICBAUF8cMS6iqfI7P6nRKzLf6KxfHDfPzxx2EwGPixLRzH4bnnnkO3bt3wzz//IC0tDVlZWXB3d4evry+fSEoul9e478DAQDz++OOIjY3FsmXLoFQq4eLi4pSCu7H73pcUFuLshg1gGzYgtKQEKokExW3bQjZrFry6dIGoFYxlcTyp/f777xEZGQkvLy+oVCoAQGlpKaxWK0QiEWw2G/83bIqxUaRlcjwR2Lp1K2JjYxEcHAyxWFx5g8dgwMWLFxETE9Pk40cMBgPi43ehbVsGi4WDxSJA5SlSDIADIAMgBGPpSEx8ExwXALHYBwKBCywWASQSDwiFSlitgETiir//3oSiojyo1X6QSqXw8PCAr68vpFIpf8FfUFAAmUzm1Mi8FY6uVz/99BNMJhP8/Pzg5+eH9u3bY8CAATCbzSgsLMSRI0cQHBzMX5gfOnQIBQUFiIqK4m9EOS5YmipZDWm9HMMJbDYbLl68CJPJBKvVyidpFIlE/FQbBQUFSE9PR3R0dL1/V0KhEHq9Hp6envwTw9zc3Ca5YJPJZJgxYwYuXrwIf39/+Pj4oF+/foiNjW2Uz3UMI3jsscfw8ssvY9u2bUhJSYFarcbgwYMRERHRqMfrSBQ1aNAg/PzzzxCLxSgrK0NgYCDEYnGTT7NEmp9jrLwjhh03OEQiEcxmM9/76MSJEwgODuZ/H+3bt0eHDh0QHx8PDw8P7NmzB507d27Sul0ikeDJJ5+EUCjE+vXr+ek8R48eXeM5yGazQa/X89errq6utSZsrAvHcbjvvvsgEAiwZMkSlJSUIDg4GKNGjcLAgQPrFU+MMbRr1w4SiQSnTp1CRkYGsrOzERkZicjIyGpvGDh6xZWXl4PjOH5mmdtdqzhCjuP4aX4c/wYAFxcXjBs3DmPHjkVhYSEWLVqEQ4cOQSqVIj09HQcPHsTo0aNr/UM65pGUSqV8sqqm6H7HGEOpTofVb74Jvx070IMx+CmVEFoswNGjqEhORvZrryF46FAIWsEA8XPnzuHChQsICQmBzWbjl8tkMly8eBE+Pj44f/48/P394evri/T0dMTExFASijvUuXPnoNVq+ak7HDEtl8vh4uLS5OO4GGPQ6fTIzy+Gvz9DSQmDRmOBu3sZZDIRKhu25bDZLCgttUEuj4erqxwGgxAGgwRmsxglJUIYDCIYDEKYTHK4uXFo106FrKzKpFHXThcmFAohk8mgUqkQExPTYMfJGMOZM2f4bowKhYJvVIjFYojFYpSUlKC8vBx79uxBcHAwVCoVvL294e/v7zT9gSNZnslk4uf0JuR6VqsVhYWFsNlscHV1hcVi4ZM45ubmgjEGsVgMnU6H0tJScBzHT2tVX3a7HYGBgTh48CAMBgOsVisuX74MrVYLtVrdSEf2PxKJBEqlEjExMXB3d0dwcHCjfh7HcWjbti2ee+45fPzxxxgwYADUajXGjRvXJBemAoEAY8eOxXfffYezZ8+ioKAAHTt2xPjx45utRw1pHowxfnxqWVkZSktLkZ+fDwBQKpVOw1uMRiO/naMhNWHCBMTHx6O8vBzJyckoKiqCl5dXkw1zcfSAmDx5Ms6dO4cJEybAz88PgwYNqrGBfeLECRgMBoSFhcHT0xOlpaUoKyuDj4/PTZdDpVLhgQcewIYNG9CnTx906tQJffv2hYuLS733kZmZCaFQiIyMDOj1epSWliI5ORkBAQEYO3Ysf83kuM4oKirCsWPHEBQUhNDQUCQmJiIiIoJvS92uWkXD1uH6k+m1CYq8vLzw9NNP4+jRoyguLoZUKoXRaERaWhqioqKqPRE7Hu+XlZXxdzaaKnEKYwwbV6+GZvt2RNvtcHVzg8DHBzY3N9gNBkhycqD8/HOYevaEzM2tRVckjovfvLw8pKen49KlS/zk0+Xl5SguLsamTZvQrl07+Pj4QK1W82Mz3P7/2Fry8ZGGd+LECQgEAn5su6OSczz9t1gs8PPza9IyubgoAciRnQ1kZtqgUhkhFpfA19cAmYyD3W6AVmtAdrYdx45ZYDbbYLMx2O1CMCYGY0LYbCLY7WJYreWw20UoKxPCaATKykqh0WggEAggk8n4irKsrMzpRlBD0Ov1MBqNEAqFMBgM0Ov1yM/PB2MMAoEARUVFfF4Cm80GpVIJuVwOoVAIrVYLX19fuLu7AwDfZYqQ6zl6Xpw6dQqRkZFwd3fH8ePHkZCQgJKSEkgkEv7Jh0gk4rMZO7re1XdeVMYYcnNzsX79emRnZ0OhUMBoNOLq1atYvnw5Ro4cidjY2Ea7UHZcJzgu3ktLSyGRSBr9wtwxntWRdVYoFDZ4o7a2xH0HDhyAm5sbOnbsiKFDh2Lw4ME3nNWatG6OBz/79u2DWq3mr62BynlZZTIZTCYTnwDp+mttkUiEiIgIqNVq6HQ66HQ67N+/H+PGjWvSKWs4joPFYuFjynHdcX082e12HDp0CGfOnMGAAQMQGBgIkUgEFxcXFBQUoLCwEGq1+qbK7WhbXDs+/UbOgXl5efjss89QVlYGX19feHt7IygoCAqFAnq9Hn/99RcmTpwIT09PPiHut99+i6ioKKjVari6uqJDhw7Q6/WwWq239SwvraphWxuBQICgoCA88MAD+PHHH+Hi4oKNGzfCw8MD4eHhNVYIIpGI75LneGRvMpkgk8karayO9N/7du5EiNkMm1gMu1gMrVKJ9M6d4dq5M9RCISSHDiEvKQmhvXo1WDfFhhozcP1+/f39IZPJcPToUVgsFohEIohEImi1WmRnZyMrKwudOnXiv1eBQAClUom8vLwmyWxJWhaDwYDCwkJcunQJrq6ufGXhyEDq4eHR5GXS6XKgUHBIS+Pg4cEgEJhhMtmRn18BlQqw223Q6+3IzHSFRPIAPD19oNWWwGCoAMcBRqMJ5eU62O2Vldfx4/EoL7fCwwMoLhZDIBCivLwcEokEFosFpaWlsFgsDdotizGGwMBAAJUXHhKJhO/mrdPp+MZuWVkZxGIxcnJywHEckpKSUF5ejri4OFgsFgQFBcFms4ExRgkqSI0OHToENzc3BAQEYM+ePXjrrbeQmZkJm83GT59XXl4OkUjEzzhgMBig0WigUqnqTCTDGENFRQW+//57pKSkIDAwEO3btwdQ2aPAaDTin3/+ga+v701fcNaX4yK/oqKiSRt3lRnZTXBzc2vwfVdUVKCgoABSqRReXl78eD2j0YgtW7bAw8MD7u7uGDlyJFxcXKhRe4fhuMr51RMSEjBw4EAcO3YM+fn5sNlsfF3m6JLctWtXtG3b1ml7gUCAmJgY3Hffffjwww+hVquxZ88emM1mREdHo1OnTnxDuSk4zj/VnSccMxT8888/8Pf35+fhdVCr1cjNzb2lzxcKhRCLxTCZTFWecNeGMYbNmzcjIyODT+qoUCjg5eXFXyudOnUKGzduhK+vLyoqKpCamorExER+7m3gf3MSZ2ZmIiws7JaOpSW7bRq2QOWP5t5778WOHTug1WohkUhw8OBBqNVqfg666+9MOu7kOCaUBsBf0DVWJckYQ2FRETRFRXAFUGSzIc1sxgkvL8QOGoSYbt0qxwYPHAhdZuYtJ8hgjEGj0SAlJQVisRje3t5898OGOEaO4xAeHo7p06fjk08+QUJCAnr06MFn0MvKykJBQQHy8/NRVFQEhULBT9xd3ztW5PbSuXNnfPnll1CpVDAYDHxF4si8GBUV1WQ9J0wmIw4d2opDh75AcHAaUlPFuHCBg8nEUFpqhaenDZXDaxhKS8VwcRmJWbOegkTiyj/xACrv9losFgCVFegXX3yOX3/9DQJBZRZTx11UR0PTbDbzXRsb4lgZYygrK8O5c+egUqmcMsWbzWbodDp+rLuPjw9ee+01PgfBqVOn8PLLL+PgwYPIz8/nM1429Z110no4nuQMHz6cnyKvtLQUCoUCc+bMweHDh3H58mV+jK1IJEJ0dDRcXFxw8eJFJCcnY9SoUXB1da315s7Fixexf/9+eHt7Qy6Xw9/fH4GBgXyPrLy8PBw+fBhjxoxptN9pRUUFPzWIXC5vsiE05eXlsNlssFgskMvlDXZOZIwhJSUFJ06cQO/evaFWq5GTkwMPDw8olUqcPXsWWVlZCA4ORlRUFJRKJTVq72DZ2dkICwvD448/ju+++w75+fmQyWSQSCSQSCTw8PCAxWLBsWPHMHToUKdkoQaDAQUFBeA4DqWlpcjJycGpU6dw+fJlJCQkYPLkybVOddOQHA3b6hrTjh4omZmZUCqV0Gg0CA0NdRpbq9Pp+BvHN1NesbhypgXHE+6ysrI6t3F8h6dPn+Z7s1ksFhiNRhgMBiiVSly6dAknT57E+fPnIRKJwHEciouL4eLigry8POTm5sLDwwNCoZDPeXM7T+l3WzVsHVmUn3jiCbz44otQqVQoLi6GXq9Hamoq3NzcnKagcTw5zc3N5f9tMplw9epVtGnTplH/6C4uLuAUClxlDH52O1LMZhg9PdHLxQUyiQQCAFAooA4JQWpq6k2Pw3N041q3bh369++PDh06QCQS8U/MvLy8GuQ4RSIRpk6dCpVKhd9//x06nQ4RERHo27cvUlNTkZmZiaSkJD6oXVxcUFRUVOOk1OT2dtddd+HgwYM4ePAgsrKy4Ovryz9NHDhwIF95NPYNJo1Ggy1bvkdCwo8QiysgFlsRFqZEQYErTp0qQk4O4OHBIJdzsNvFCA0dimnTnoFE4lrlJtm1XQUZY5g8eRKOHTuOxMREPuGG46KYMQalUslf2DfEMebm5uLYsWOoqKiA2WwGx3EoKSmB2Wzmx8kKBAJ4eHhg8uTJTk/L+vXrh6+//hrbtm2DRqOBj48P7r33XgQFBVF8kmpxHAetVouzZ89CrVYjNjYWH3/8MUpKSnDXXXfh0UcfxbFjx3DlyhXIZDIcPHgQly9fhlAoxO7du9G7d28cOHAAcXFx8PLy4uPCsW9Ht73ExEQYDAb+BrTBYEB5eTl/gWcymZCWltZoGZId5yC73Q6z2dxkjVq73Q6dTger1YqKigqn8e+3wvFk6ttvv0XPnj3h6ekJiUSC4OBgHDhwAAaDAVu3boXZbIZCoUDHjh2bPJEfaRkYY/xvY+/evejTpw9mzpyJw4cPo6ioCG3btkV6ejpyc3ORmpqK3bt3IzAwEG3atIFAIIDVasUff/yBs2fPIjo6GjabDaGhoYiOjobBYEBaWho2btyISZMmNfqTW8YYrFYr3zisjiOXxKVLl+Dr6wu5XI7Q0FB+ujK9Xn9LZXCcR4xGI0wmU71j2mazw2QyoqKiAhUVFSgtrRzaJBaLodVqkZWVhcTERH7YhEwm47tcX7hwAS4uLrDZbHyXcEcP19vVbdWwBSp/OHfddRd69+6Ns2fPQqFQ4IcffoC/vz/fqO3QoQP69esHo9GIH3/8kU9B7rgzs3HjRgwfPhxdunRplIpSq9Xi4IEDCAwOxv7jx+EmEqHMbIa7TocCjQZhFRX84G6jsfLHfLMqpzD5FwUFBU7jgq6dzqMhBQYGwm63IysrC2KxmG/QFhQU4NixY7DZbMjLy4NKpYJSqcSQIUNu6ztHpCpH1s0XXngBa9euxa5du7B7927YbDa0adMGJpMJGo2GT9jSGE8MLRYLrlxJxsqV70OnOw673YjiYjsMhgg89dQr8PDwxcaNG5GQcA4lJQYoFAEYMmQERo4cBl9f/xrLc+24/+joNnj77bfx8ssvIzk5mZ+WzJGZcM6cOfxc27fC8fTFMc1PRkYG3NzcIJFIUFpayncJtdvtaNu2LR577DH07t3b6XM5jkPnzp3Rvn17PpkezVNJaiMSiTBkyBCsXLkS5eXlCAsLg81m458IqFQqDB06FHfffTfsdjtGjhyJTz/9FEeOHEFoaCiSk5MhFAqxfft2jBgxAiaTCVqtFgKBAF5eXlAoFLh69Sq2bduG8vJylJeXo6ioCBKJhB8jV1JSgrKyMlgslkbp/cMYQ2pqKvbu3QuJRIL8/HzI5XLk5+fDx8en0Z5iOhr1QGUdXlFR4dQ75Fb3ffnyZaSlpaFNmzbQaDTYtWsX8vLycPbsWYjFYly5cgUuLi78LBFUR9+ZOI6DTCbDY489hi+//BJbt26Fp6cnPDw8MGXKFAwYMAAlJSWYM2cOKioqcP78eWzevBkikQiRkZHIzc3F9u3bYbPZEBUVhYiICERERPAx5JgGyPFbbMyb2FKplH/S6WjYXvu7FggEUKvV6NevH3799VfIZDJUVFQgPT0dUqkUWq2Wn2/2ZsvpiGFHw7Y+Q64YA/T6MohEPpBKfVFWpuenSrNYLCgoKIBIJEKvXr0wZswYdOzYEW5ubjAYDFi0aBHOnDkDm82GwsJC/uFeY82/3VLclg1buVyO2bNnY/78+SgtLeWfCjqSWcTHxyMlJQV5eXlIS0uDv78/goOD4e3tDbPZjIKCAmzatAk+Pj4IDAxs0GCzWCxYsWIF2rRpgyfmzMHZs2dxLDUVKoEAhZcu4cyZMxCJRAgPD4dAIEBOTs5NV56OO1SXLl1CcXExcnJyEBQUxI8n1uv1sFgs/LiaW8EYQ0JCAtavXw+xWIy0tDTk5+fj+++/x8GDByEWiyGVSnHq1Cnk5uYiNjYW06dPp6lE7lCOhG+PP/44Zs6cic8//xxffvkl/P39sXPnThw5cgQ+Pj6IjIxEnz59bioL6bUXgtf+xkwmE7ZuXYu9e5fBas2B2WxBSYkI/v5D8NJLryMmprKC7du3LywWC6xWK2QymVOjtT6EQiG6dOmCGTNm4KmnnoJKpULXrl0xYMAA2O129O3b94ae/lxbCTv+v6ysDElJSUhNTcXWrVv5MUB2ux0RERFYsGABlEoldDodXFxcEBkZWeP8oY7EGo6uTITUhuM4jB8/HmazGfv27UNaWhqCg4PxyCOPVMlo7misvv322/j888+xceNG2Gw26HQ6dOnSBd9//z1ycnL4bOFCoRBKpRKurq7o0aMHEhISoNVqIRQKYTKZUFhY6JRd2Wg0QqfTNeg4W7vdjvj4ePz4448AwCeSyc7OxsqVKzFu3Libnnrn2gZqddtXVFRg3759OHz4MORyOXJyciCVSuHn59cg0/1IJBIUFhbi4sWLyMrKwvLlyxEQEIDQ0FD4+/vj7rvvhlgshtVqRXx8PMLCwmju2jsUx3EICQnBokWLkJSUBKPR6DSExs/PDwsXLsTzzz8Pu92Ow4cPw2q1onPnzrhw4QJ/je2YGcBx88vx74KCAmRnZ6NNmzaNUn7GGAoKCrBv3z7I5XLodDowxnDkyBH06tXL6UmxSCTCfffdh9TUVOzfvx/p6enw8fGBp4cHBgwceEuxZzKZcOrUKZSXl0Mmk6GoqAh79uzhk1RVt1+z2YwTJ87h22/3orDQH+HhI5CSshbFxcWwWCwoLy/nyx8ZGYnJkyc7nQMXL16MH3/8EUlJSbBYLIiNjcWoUaMaPR9Bc7vtGrYOjuy7V69eRdu2bREcHAw/Pz9YrVbk5eUhOzsbGRkZMJlMEIlE8PT0hJ+fH/+ENCcnB3v37sV9993XYJkIHU8yL1y4gNDQUAQHB+PjTz7B5599hhNHjkCUlYWDBw5Ar9Mh6P/n9rRYLJgwYcJNfZ5jmqSgoCAcOXIEJ0+eBMdxCA4Ohs1mQ1ZWFjp06HDLx8UYQ1JSEj777DN++gVfX1+kpKTg6NGjYIzB29sb//3vfxEbGwuxWIyAgAA+IzK5sznmwTMYDPzTfLVaDbvdjjNnziAjIwMTJkxwqlRqu2tqt9tRXFyMxMREZGdnQyKRICoqCuHh4aioKMPq1T/g/PmNsNl0MJns0GqlGDNmLiZPfsipe67jZtit3PjhOA5+fn4QiUQQi8Vo06YNRowYgV27djllJK2N4waVowum46KfMYbs7Gxs2bIFV69eRVZWFgQCAcxmM7p06YIFCxYgJCTEKWFcfW6SUUyS+lIoFHjggQcwfPhwGI1Gfg7zmm6cSCQSzJ07F56envjpp58QFBSEXbt2QSwWIzg4GAEBAZBIJDh27BjsdjtmzpwJuVyOdevWIT8/n+/G50iEZjab+SSE33//PSZNmlRrssj6stvtuHr1Kn766SeUlpbC39+fn6rObDYjLy8PW7ZswcMPP8zPBV1fNpsNJoMBzG6vTCbz/w15B4vFgp9//hn79u2Di4sL/P39+TF///zzD0aPHo3IyMibvuEtEAgQGRmJdu3a4fjx4wgODubHS3Icx8+zHRAQgPLycmRkZODYsWMYPnw4nRvuUI6bno7rxetv8sbExOCNN97AggUL4Onpifj4eFy+fBk6nY7vbaHT6aDRaCASiSCVSvnpagwGAwwGQ6P0CmCM4cqVK/j6669RXFzMdys2mUw4cOAAcnJyMHr0aP6cxXEcPD098frrr+OrJUuQfPQoBoWEILhdOwwaO/amrwXMZjN+/vlnHDx4EC4uLlCpVDCbzbh8+TJyc3Nxzz33oF27dnxMVz54Ksfy5f9i9+4iMBYIxrTIyUmG2Vz5fTnG6DqSXA0ZMgRyuRw2m43PeBwdHY033niDH+Ps6F597ffs6BlyK0+iW5rbtmGbkJAAvV4PDw8P+Pv7w93dHR4eHvx4laKiIn46Gse8e9eP2ykuLobRaGzQge0cx0Gj0eDixYvw8/NDmzZtsOSrr7B3715czcjA98uWISc9HUEBAWjTqRNmPf74LSV5EggEGDFiBOLj46HRaCCXy7Fz506Ul5dj0qRJDZKwxmq1YsWKFUhJSYGfnx9kMhk8PT2hUqlgtVrh4uKCsWPHok+fPggKCuKD93YJInLzrFYr1q5di+PHj8PPzw95eXnw8fGBv78/PD09+RT7GzduxLBhw6BSqeDq6gqpVAqZTAaRSASBQMCfnBlj2LlzJzZv3gyDwcB3yT1x4gTUandkZ59Gfv55AFbo9RZ4eLTHs88uwMCBgxst/b2bmxvc3NxgMpmQkJCAHTt28BPZDxkyxOlp8PUc44C3bduGCxcuoKKiAgqFAmFhYZDL5Thy5AhsNhvS09P5MU2jRo3Ck08+6TRXHcUaaSwikQi+vr4A6ndxpFKpMGPGDKhUKixdupQf7+WYH9bNzQ0eHh44d+4cFi9ejCtXrkCv14PjOD4BmyP+AwMDUVhYiNLSUhiNRvzwww/o27cvhg0bVuUCzuHa2QFqep8xhvj4eCQnJ/M3plxcXKBWq/lriPz8fCQlJSEuLq7e8ZWfm4uLW7ZAcegQvMrKoHBzQ26fPogcOxYqLy8wxnDs2DGsW7cO7u7uUCqV8PX1RXBwMBhjyMrKwuHDh+Hn53dL+SnkcjneeustLF26FGfPngVjjE9SZTKZ+KytjqdreXl5jTaGmbQeNf39hUIh4uLi8NJLL+HDDz/kx8xHRETgwoUL0Ov1TtMEOR7aOH5jdWVHvxmOmQA+//xzZGZmwtvbm7+2kMlk0Ov1SE5OhkKhwKhRo/ibYRzHwcPDA8FBQTAnJ2NQRAR0EgkkNzmXu81mw9q1a7F+/Xq4urrC19eXfwkEAhQXF2PXrl3w8XGHt3cgbDY79u8/iV9+uYArVzwglwfCbE5GdHQprNYCuLoGQCqV8on5ioqKwHEc9uzZA4VCAVdXV3h6eiIyMhKhoaFQKpV8BuTrz8+OHDx6vR4KhQL+/v4N0oOzud2WDVu73Y7MzEwYDAYEBgbyc+nJ5XJ+vIrZbOafYuTl5UEkEvEJGhzjdkwmU4OWSyAQIDAwEGFhYYiPj4dKpYJGo4HVaoXVasWDDz2Egzt3QnbuHPp7eGDApEm3PBk6x3EIDQ3F9OnTcfz4cbi5uUEul6Nfv34NNtG6wWBEfHzlBbbjBQDDhg2Dh4cHGGPw8PBAUlIS/wSJEEfFs2/fPlitVnTt2hVGoxE9e/ZEbGwsX/FptVpcuXIFq1ev5huyjt4IUqkUUqkUbm5u/GTxW7du5e9OOu5QmkxmpKWdQ3b2eTBmR2mpDR063IOnn34JYWHhjTpWzs3NDZ6envxTVcdT6B07dqCkpARjx451SiB17YW3VqvFF198gZSUFHh4eMDb2xtubm78xXxOTg4/TyhjDI8++ijGjx9/20/ATlqWG40fkUiE//znP0hOTsaePXv4BpTFYoHNZkNZWRm2b9+OnJwcPvHZ0KFDMWHCBGg0GlRUVCAqKgrdu3dHSUkJFi5ciAsXLiAyMhL79u1DQUEBRo4cyXfxc4xZzc3NRUZGBkQiEby9veHr6wulUsmX69oxcFlZWTCbzTCbzfx80MXFxXzSSb1ez0+XVdfTJsYYCvLzse7NN+G3dy9C7XYESqUQCYVQHzuGgtOnYXvpJbj4+WHf/7H33uFxlWf6/+dMr9KoS6Nmq9mWi2Qb3G1sY3BcqAZCHCChhpBkSf2lfDd9d7ObTchuCGmQsEBCCM0GTLcB27jjKkuyJMtWbzOa0fR+zu8Pcd7YYIgbpnju6/LlNjo6M3rf8z7lfu5740bC4TB2u118VmazWYjCdHV14/f7z3iPFxUV8b3vfY9du3Zxxx1fIBIZZat5vV56enqIRCKkUimGh4c/FPu1ND5ekCSJSZMmCas4o9FIWVkZ1dXVNDc3C0XeUCgkaO56vZ6MjAyGh4dJJBJnXU9j69atNDY2kpmZKYpTKqtEdWFoaGjg4osvfldh22yxEAkGiQ0PE43FTnvkYGhoiBdeeEEIOhoMBux2O3l5eUKsqqPjKK+/vp8FC+ysWfM6f/tbglSqGkkaIRJp4KabKrjyysWsXz+O//3f/8XhcJCXlycYbt3d3bS3t/Pcc89RWVlJZmYmjY2NzJ49+7jC2ztdHF5++WVSqRTTp08nOzubgYEBoT7/ccYnMrGVJAmr1UokEiEQCOB2uzEYDPh8o7YbgUAAv99PJBIBwO/309jYiNfrRa/Xi4PM4XC8bzfldKDT6fjGN77BD37wA0EB2rRpE5/5zGfIyclh8bJlPL93L6HBQXyHDyNNn37G31OSJEKhEHa7Hb/fz4UXXkhtbe0JlQ5PNMf3XlADgObmVjyeEIoSFR6ZqmLbpEmT8Pl8DA4OEo1G00ltGsfB5/PR2tqKw+HAbDZTW1tLaWkpyWSSeDwuZnGSyaSgFUuShFarFb+OrUKmUikyMjJEMaW4uJiMjAxCoRCKkqK/v53hYR+f+9y3WbVq1TlR5W5paWFgYECwQUpKSqirqyOZTHLkyBGeeeYZrrvuuuO8PtXD59FHH2XHjh3k5ORgtVopLCykqKhIVFojkQjNzc3k5+fzhS98gblz56YVTNP4WEAN8FSv26GhIfR6PcPDw3R0dNDd3U0sFmPJkiV85StfYe7cuRiNRhGcqcl0aWkpv/vd7/jLX/7CY489xvDwMKFQiJ6eHpYsWcIFF1xALBZj9+7duN1uFi5cKFhQfX19yLKM1WollUrR19dHU1MTra2tdHR0MHnyZLq7u4+LISRJEjTK5uZmCgsLqa2tfV9183gsxgO//CX6V18lC8jOyECXk4Nks6ENhSh4/XWG8/I4sGIFjQ0No18Tj4v4xWg0vu0L72VoyMXIyCBOp/OMPeljsSRNTT2UlFyFRuNnZGR0XCmZTDI0NIRGoyGRSDBp0iQ0Gk1aRCqN94RGo2FwcJC+vj7BbEilUixbtoyWlhaGhoYIh8OYTCaMRiNerxetVktNTQ3PPvssoVCIlStXnpWirDrL29LSwsjICBaLRRTOYrGY0NtJpVIMDQ3R3NzMtGnTjot9bTYbyUiElNeLQacbVXE6jbXvcrloa2sTybwaByQSibe7xBKKkuDxx/v5+c+9xGLFmM1G4vFGZswY5EtfWsnkyaM05VWrVlFYWMhrr71GZWUl0WiUV155BZPJxMDAAHa7nalTp1JRUSHo1tnZ2ZSVlQm6tyq8t2/fPl599VUuu+wyMjMzMZlMlJaW0tvbi9Pp/FizMz6xiW11dTUZGRn4/X60Wu3bnVgPGo1WDF17vV6GhobEnK06R5BKpbDZbCxevPgDCRKzsrKoqalBr9djMpm44YYbqKioQKPRMKW+nicyMvAqCp7GRhLx+GlTII6FOpPkdruPowMfi1ED+iSp1Ohhqddr0em0x/0/8HZFPczOnQd59dUD9PcnyMubQ0/Pq4RCIUZGRtDr9USjUYxGI7FYjEQigcViSdOZ0gD+cfDs3btXUAtDoZAIIAOBAMlkEq/XKxgWR44cIRqNiqBWVe5VKYcGgwGtVovBYBAVWoPBgMlkIpVKYTZbKCubTl5e+Jwkteoh8tBDD4nOj9FoFD6camGtubmZrVu3Eg6HcTgcwm92ypQpbNq0CaPRKBJ4k8mEzWZDo9EQCASwWq1MnDiRr3zlK1RWVqaDzjQ+NlAUherqasHK0Ol0xONxzGYziUSCyspKrFYrP/7xj5k8ebIoYJ2oQ+pwOLjzzjupqqri17/+NW1tbcTjcdatW8eBAwdwuVwMDg6yfPny40aL8vPzaWhoQFEUtm7dyuDgIMFgUPhMezweYbkjy7IQsFLv2e/3Mzg4SFFRETNnzuSCCy4QPu3HFtuOdnTQuHMnU2UZSadDYzQiZWZCVhaYzWgCAXjmGf4yMIAMTJw4EZfLJYrt4XAYnU5HKBTC5dLw29++xbx5Xi66aBJ5ednvKfgmy/Lbn9doTH5s97q19Qj33/8Ghw5pyMiYiN/fjN8fRpZT4uegMmM6OzvZt28fU6ZM+cBGNtL4+EMVdAuHw/h8Pvr7+7FYLGKWNpFIYLPZMJlMrFy5ErfbzZ49eygvL2fTpk2Ew2FWr14tOpmnCjVGTSaT9Pf3C9ZFNBoVFjkajQar1Sru0efzkZuby/DwsLC/VBQFh8FAPBYjOTJCUqsllUyiPYWOskrvDwQCIqE/ttmm0+kwmUz4fH5CoQgazQiRSAmJhITR+Ao33KDnpps+S37+Pyw5DQYDCxcuZP78+SiKQkdHB62trdhsNmF5pjJR1ILhmjVrKCoqQqvVkpGRgdlsxmq1ip9TKBQSWgUAGRkZhMPhc+Yt/EHgE5vYTpkyhRUrVvDQQw+RSCSIx6NYrSZkWUMqJaPT6bjyyivp6elh/fr1BINBoUCs1WrJzc09I5ud94OaWKuL/tih8QkTJpBXU0NfSwuHduxgfjCI/j1UTE8GsiwTCAQ4fPgweXl5eL3eE4o2RSJR3nxzL6+8EqehwYrFks306RquuALGjStFp9Pg84VobGxlx44eNm/2EA7r0ettSJKPWCxBIgFe74hIWvx+v6iMOZ3O4ypiaZyfUAPS9vZ2Hn30UV5//XXxsFdncNSgSmUEhEIhgsEg8+fPp6SkRIwKlJaW0t3djdPp5M0330RRFHbs2EFZWZmgGakUp1gs9nbACsnkqLjUB03XVa1C2tvbcTqdSJLEzJkzheqrwWBAp9ORSqVoaGggGAySnZ1NNBpFq9XS2dlJb28v4XAYrVZLOBxmZGQEs9mMVqsVNicLFy6kvLz8A30vaaRxtqEKnjz99NPs2LGDZDL59nPAAIyOEixYsEAUbI49O955jqhF6aVLlzJ16lTuueceNm7ciMvloqGhQRS3fD6fmFNXA9jOzk5ef/314xLWRCIhRpQGBgYEA0zde+ovVf2/r69P+HhecMEFTJkyhbKyMmG1tWnTJvoHBqhSFHyyTCCVwhKLoYlGIRYDRSHpdmP0esnMysLjdjM8PAyMPg//oQgd58iRKBZLipaWCE880ceCBWOZMcPBlClVWK1G8b7i8RRdXb14PKMqrOXlhWRkmPB6fTz33C4efXQIWS5HoxlGqz3ClCkQidhwudyEQiFycnLIycmht7cXh8PB2rVrGR4eZt68eR97qmIaZx+KolBQUEB+fr7o9qtNotzcXNxuNzU1NdTV1fHVr36VoqIiYrEY99xzD2vWrBHntM/n47rrrqOo6B+2emrc8F4z8TAa67rdbpqamtizZw/t7e3CL15tcKkFYZPJRDwep7+/H0VRWLNmDZWVlVx66aWiGTPi8WAOh5EHBsgeGaFl7VoK5swh5584pahFsdbWVt566y12797NuHHjaGlpIRAICCeEQCCAwWB4uwFkYPx4DTpdI62tOfzHf1zI4sUT0Wq171JQV4tNiqIwPDxMT08PDoeD2bNnU15ejqIoBINBUqnRApXb7RZq88FgUBSmhoaG6O7upqWlhfz8fGprazEYDMI95eOMT2RiC6NGy7fffjt+v59169Zhs/m58EIH+/e7cLsN3HrrZ7nqqquQZZkrrrhCyJgPDQ2xZs0awuEwzz77LE6n86wOtqtVHFXVTFEU4Z8rSRI5OTnUz5zJ5qYm8r1etrzwAmOnT6eiouKUadGJRILNmzfz5ptv4na7RWDc3d2N3W4X1KJIJML//d9aHngghMczBb2+GqMxg9ZW2LgxxJe/fASfr4fXX/fQ2WklHjeh1+eQSPQTj7dSVBTj8sureest19tqlikxy6wWCi688MK0tc95DvWBv23bNh588EHa29tJJpPAKKNAr9cjy7KgCqkHYywWQ6PRsGDBAiKRCDU1NXR1dTF58mRsNhvTpk0jEAhQX19PY2OjeLC7XC4AQTMMBAKEQiGSyaTYcx80VFl+h8NBQUEBWq0Wl8slKMfqSERbWxsGg0FUlGVZJpFIUFFRwaFDh8TsW29vL5FIBK1WSygUIhAIEHt7/ie9t9L4uMFisfCtb32Le+65h23btuH3B94OwowsXryYz372s6fUOdBoNBQUFPCDH/yAtWvX8pvf/Aa73Y7D4aCzs5O2tjaKi4uZMGECZrOZ4eFhent7CQQCeL1eMjIymDdvHpMmTeK3v/0txcXFjB07lv379+N2uzGZTIwdO5ZVq1axZMkSmpubeeqpp9i5c6e4Xk9PDzt37qSqqooZM2awYcMGNm/ejCsaZUBR6Eul6AyH0Q8P4wiHkZJJwqEQA4qCy++nx+/HZrEwMDAglJ/VgLi4uJhVq6byyitb6eg4gtk8nt7eGC+95KS2dpAlS/JYsKCKUCjC73+/nq1bc/D5KrFYsqip8XLxxYO89NIhmpqc6HTVJJPNzJkT5vbbr6W8fAzNzVdz5MgRAoEAZWVljBkzhieffJJHH31UzNyOjIxw2WWXYTKZPuDVkcbHCZIkUVJSwpIlS3jggQeA0c5pMBhkzJhyioudGI0mZs+eTVFRETqdDp1Ox913301OTg6///3vSSaTSJLEww8/zI033kheXh6dnZ1ib5aWlgpGxDu7s5s3b6apqentsaNRVpfX6wVgZGREFHzC4bBghbW1tVFQUMD69etpaWmhv7+fRQsXsmvdOvSPPcYql4sxfj82RYHGRvxTpjD4ve+RP3HicWeuei+JRIKWlhY2bNhAV1cX8XgcvV5PZmYmsizj8/mEyGMwGMRgMNDd3YPJZGTChARTp25gypRqZLmUYDBELBYVI1g5OTnk5+cfJ3Kl/lkt1gUCAXp6ekRuMTw8zMDAAD09PWRnZwOQm5srxDZHRkZ46623hKit+tlWV1d/rOMJSfkgXM0/IlAD6a1bt/LQQ99m/vxiurqs3HDDDxk7dqyoXKgzO4qiEAgE+M53vkNjYyOlpaVcfvnlXHfddWeNPqvOxD3wwANMnToVk8nE6tWrBeU5Go3yl7/8hXt/8hOm5uSQV1+PtrCQgvx85s+fT11d3ft6Xx672R966CFeeeUVUTE71oduxowZzJ+/AI1GYv36V/j619cRDM7HYLiA7OwxZGfr3lZkhWBwGKOxG71eRpIGSSbbyMnpZdIkG6tWXUx9/WSsVisej4f777+fbdu2MTIygtVqxe12Cy/CJUuWsHjx4rNmn5TGRxfqgxNGH8CyLNPb28tf//pXNmzYIAo7iUSCMWPG0NnZKRTIrVarmKWVZRmDwcDtt9/O5ZdfLg4TldKeSqWQJIlAIEAwGORLX/oS3d3dZGVlkZmZid1uF51gVf28qqqKH//4x6fkIXs6UDu2q1atQqPRjPrhZWeTm5uL3W4XVGWv10skEkGn0wkhuVRqtDgUj8fp6+vDbDbjcDhwOBxYLBYxXqHVarnllluYO3fux/ogSuP8hWrh89prr/HrX/8CWfYwf/487rrrR+Tk5J7W2asWbFevXk0oFBKzY7FYjNmzZ1NVVSXOp7179+J0Olm+fDkTJ04UVlp/+tOfeOKJJ5g5cyb5+flEIhEMBgOrV68mLy9P3Fc8Hqejo4O//vWvgk6Zm5sr6I3JZJIsh4N9+/ZREAwyFZio1VKu15Ov1aJTFELJJB0FBfzZYkFnNnPRRRfh8XjYtWsXFosFq9XKtGnTWL16NYWFhfh8Pp57bh1r175MU1OAZLISo7EOo7Gc8nKZZHInzc1FKMpU7PYJWCwGEgkIhfxotW4MBhdFRfv5/OdLWb58ITabRXxu6u9qgS0ej/PYY4/xwAMPkJOTQ01NjfDDVP2K309hGjguAXi/7lsaH3+Ew2H++7//m+eff55gMChGhnQ6iS9+8fN89rNfOO7sHR2BS7BmzRruu+8+xo0bx8KFC5kwYQKhUIiXX36ZcDgsEsRZs2Yxb948/H4/zc3N7Ny5kyNHjoi4Uh1p0uv1TJw4kfLych544AGGhoawWCyYzWYx76qyRFSf7ZycHAwjI0zr7OSCVIpJJhP5djuYTJBMogQCeMaOpfNrX2PczJmCvjsyMkJDQwPbtm2jvb1dMM7Us72goIC+vj7279+P0WjEYrG87eqgxeOJMDCgIysrxKRJVUycOInx42uIxUbFpubMmUNlZaWwICspKcFkMgm7vy9/+cs0NjaSnZ0t3F/UcaVEIsHs2bP5zGc+Iz4fNdeQZZm1a9fy0EMPATBmzBimTp3KDTfccM4K/x8UPtEZhkpPKi4uxmgEiyVJcXHRuzzgjp3bycjI4K677uKuu+4Siq3Tp08/I984FW63m4cffpiBgQEURaGlpQWHw0FjY6PwB3vzzTd5+eWXKaqpwVZaSsGECRjNZkKhEC+99BKZmZlUV1eLax6rcqb+HUYFax5//HEsFgsWi4W8vDxKS0vfpjh2s3XrdhyOAkwmEw89tJZAQAMo6HQarFaJnBzQaCSSSYVAIINg0I9Ot52pU6NcckkN8+Z9ioqKSvT6f8zb5OXl8a1vfYvBwUH6+/ux2Wxs3bqVX/3qV8KmYMKECZSUlKQPtY84VGaBquSnzrz8s5+b2olsbm4W1P7Kykp6enp45JFHaG1tJZFICNXPiRMn8vnPf55nn32Wjo4O2traiMVi4uHrdDq57bbbWLZs2XFzZOr/q7+r9lIrV67kN7/5DSMjIySTSaLRqFBaVJkSn/3sZ89JcUUN4FShDFVGPx6PCypkPB4nkUhQXFwsVE8zMjKA0bnBZDLJ448/zuDgoAgAVCqzRqNhzpw51NfXf+DvJY00Piio637RooW88so6fL63sNuTp6PTchw8Hg99fX1itq2qqoqmpibWr1/Pvn37yMjIwOFwcNNNNzFnzpzjni+KorBq1SrC4TDr16/HZDIxefJkli1bRn5+/nHPQoPBQE1NDT/4wQ84fPgwL730Es8++ywHDhwAoKCggIzMTKpramh46y10Gg1yKoVHlsmRJEw6HVMnTWLqwoV8p76ePz/4IBs2bKCsrIzrr7+eJUuW4HA4yMzMFJ2qnJwcPve5m7j88svYsmULL7zwGq+88gRebzXDw1rAC5RjMlnJzNSTlzeqfdPbm4HfP8KFFzbz5S9fzOTJlcd9Zup7Un9XtQxWr15NWVkZP/zhD9m/fz+yLBMKhbj22mspKCg4zm5NnS9WFAWPx0MsFhMFxr6+PmD0ea2yxtL4ZEFlYSxcuJDt27ezbds2urubqK7OYfLkce86e9U4/bLLLqO3t5eKigrmz58vOowFBQXHFcM3btxIY2MjbrebkZERcQ2Px4PL5SIvL48rr7ySWbNmiTGG8ePH8+yzzwotCzWuueCCC4RQ5e7du/EMD1MRDGJOpTDr9VjNZsjJGZ2HTyZhcJDMpiZ6//hHGvr6WDB3LocOHWLnzp2C8ms0GvF4PHi9XiZMmMCKFSuYMWMGAwMDPPjggzz99NN4PB60WgOQjaJ8iszMhQSDu3nzzbV0dvZw5MgR9HodK1euJCsrS4w+jBkzht7eXkpLSwU75corr6S1tVUotqvJuqr8fumll56Q9SJJEp/+9Kepr6+np6eHnJwcamtrRSPg44xPdGIL/xBL0OtTWCwJFMX0ng9T9bCaOHEid955J/fccw8mk4mnn36a22677bQpyWrl5uc//zldXV0UFhZSVlYm5naeeeYZtFot5eXlPPjggwQCAUrGjKFwzBhKy8ux2+0MDw/T1dXFmjVrmD17tjhIYrEYkUhE3JfX60VRFA4cOCAsjtTgOjMzk717m3jooWeJxVLcf/9rKIoG6EeW69Bo/MjyCMmkk1hMi1YLsgwajczy5XDbbSuorq7EbH7vJEev1+N0OoViY0lJCc3NzWzatAmLxcKaNWu49dZbRWCfxkcPqVSKtrY2RkZGyM/PF/MoiqIc54f2TsiyzK5du3jxxRcFrUVRFP785z8zODhIMpkkEokQj8eZMGECs2fPZuLEiRw6dIif/OQnaDQaDh8+zJ49ewiHw1RXV1NXV0deXt5JibgZDAZuuukmRkZGeOKJJ3C73QSDQXGQRqNRYFSsaeXKlccJvJxtpFIpNm7cyO9//3thc+DxeIjH44RCIVHFNhqNXHfddVx77bVIkoRGoxHPJzWInT17Nv/1X/9FW1sb/f39GAwGsrKyWLp0KV/5ylfOishDWu00jQ8To3vBRE5OLm53hHB4gEQidtqJjyRJgqWkijBpNBomT54sRFNgdN0fy95659d/+ctf5nOf+xyJRAK73X5Cb1z17zqdjnHjxlFVVcVNN93EI488wh//+EdRIBw7diwHDhygPZXCoyjkKwqZ0qjCe4HNxux4HFIp/vfXvyaVSqHT6bBYLKIg9s6kU5JG/TZXrFjBJZdcQmdnJ088sYa//OVJgsFxaDRRtNooBoOCxTJauLbZwGjM4fbbF1FbW3pSe14V5lu0aBG5ubn8+Mc/ZufOnYTDYR5++GGmTp1Ka2srg4OD2O12ampqqKmp4eDBgxgMBmbOnMnw8DAbNmygpKSEWbNmYTAYOHLkCGVlZZ8I38w0jofFYmHBggXMmTOHPXve4nvf+yI5ObBnzxvU179blFVRFJqbmwkGgxQVFR2nf1FRUUE4HKajo4NAICBGClSmh8fjAWDcuHHceeedYkTp2Bh15syZTJs2jUgkQjKZZHBwkE2bNhGLxbjggguoq6ujs7OTH//oRyR27CAFJCWJlE432q21WCCVAosFnV5PaWsre9vb+d9du0gkk0JLxu12I8syU6ZM4aqrrqKyslI0BcaOHcu//uu/Mm7cOH72s5/h85mAcYAWaEarzcZuv4a6un5aWraSn18ghFdVaLVarFYriUQCg8GAXq9n9erVDA4O8uc//1kIValJ6h133PG+tp6SJDFu3DjGjRt3nNL8xx2f+MRWhdEoYzIliERS//S1Go2GK664gg0bNtDW1kZTUxObNm3i8ssvP64aeTKHgizLyLLMCy+8wP79+8nLy8Nut1NSUkJWVhYtLS20t7dz3333UVRURHNzMzk5OaLzqtVq0ev1gpp59OhRUfVUKZnHbmD1/kKhkPABjUQi+Hw+XC4XW7dupqNj79t3NxpIOxxWtFoXsjxAPN6Nz+cAnEiSgUAgRSo1wgUXFDBlSs1Jde2O3Rw2m427776b3bt3c+TIEaxWK6+//jpLly79wKmgaZw6VCZBS0sL8+bNEyqBAL29vfT09FBcXAwcn9zKskxjYyN/+MMfkGWZgoICcnJy6O7upqurS9BuLRYLkydPZsWKFeJas2bNEp6NdXV1TJkyRVz/VJMts9nM3XffzQUXXMDrr79OU1MTIyMjjB8/nnXr1qHX69m5c6ewvzrdz+i97ktVHH3ttdf4zW9+g9/vR6/XM378eGw2Gw0NDUSjUXQ6HeXl5SKpPZEKpPr36dOn8+tf/5rXX3+d73znOySTSVasWMG11157xgWiY6mHn6SDLY2PH0ZFG/NpaUmRTA4Ti52ZeKPBYGDZsmX89re/FfP7kUhE0PhisRjjx49/X2sLvV4vOkcnc+ZLbyeqDoeDCy+8kN/85jfCAk9llMTjcQYHBhjxeimprqa2tpZHn3qKzLIyat1u3B0dlNbVnZS9jvqMNJlM1NTU8LWvfY2dO3ezb58PRRkmmRwkGCzG43EAEuEwyHKMUChxyntdkiQmT57ML37xC37wgx+wa9cuQqEQ27dvFzOAAAcOHKCxsRG/38+KFSvIzs7mN7/5DUNDQyLp0Gq1jB07VihKp4tqnzyoM6D19fVkZhYSDPbi9Tbi9brJycl/VyHp8OHDDA4OEggEROKmQrUGUxRFeDp3d3eTmZnJpz71KebOncu4ceNEwvzO9aTRaDAYDKIbqSZ+KhRFYcKECcyfP591O3fiVxRGFIWRRAJbOIxGrx/t8sRiJGQZJR4ny2YjFA4TfttdRa/XM2vWLC655BKqq6tFfHtsIcpgMHDVVVcxMjLCAw/8Ga93H6lUD5CJxWLjllsu4tZbP8ff/vYYTz31BL29vXR2dgo7RFUA71jvbVVdubKykoKCAsaPH8+0adOYOnUqubm5J/VzOtFn9nHGeZPYGgwpTKYEWq38T18rSaM+uN/4xjf4+te/jsvl4sUXX8RkMqHX67FarZSWlgrz92Nx7AyJajQ/MDDApk2bxEA3jB6YHo+H++6777hhd5vNhtVqJRAI4PF46O3txe/3EwwGxRxhT0+PUEtTO7darZZUKoWiKOh0OoLBIKHQqBri8PCwUHx0OvMZO3a0mzpt2jTGjh1LW1sb27c3oSiHSSRM+P0pIhE3kmQnkUhgNg9TVJQhPptTgSoo8P3vf5+vf/3rdHd3s2XLFkpKSpgyZUo6kP6IQU3Kampq3mWHk52dzd69e/F4PKK7qK63WCzG/fffj9/vp6ioiIKCApxOJwUFBQwNDdHY2IjRaGTWrFlcf/31bN68mbvuukvQat95yJ0JTCYTixcvZubMmTz77LMkk0nq6+tpaGgQXc8tW7awePHiU6LdqPstkUiIrzv2XtW5vkcffZQ1a9aIGeKqqiq+8Y1viDm/o0ePkpubS2VlJVlZWf+UFq0Gr93d3ZhMJiF+VVxcTFdXF+Xl5ac9h+jz+WhraxMUaEVRKC4uThed0jjnUBSFwkLn29Y0QYLB4TNiEqhUuyNHjrB+/XphYaHagtXU1HD99deftKXfyd6Hul+Li4txOBwEg0FBE3Q4HJhMJpzFxeTk5nLp3LlcecMN/E8iwUObNvGFsjKy+vs5kEphz8rCZDIJrYCTgU4HY8c62bdvE4pylFjMhterJxIpQ5Jsb8cAfZSWlgAKcOrneXl5Ob/61a/4+c9/ziuvvEJubi5FRUVkZGRQUlJCZmYmR44cwev18uKLL/LCCy+wYcMG5s6dK2zc1FEK1Zf4VD7fND4+GE3mTCxcuJTXX/8Nsuzm4MFtLFhw+bt+3qoib1tbG1lZWVRWVqLX6/F6vRw+fFhQkSORCLIsc/HFF/O5z33uXfZa73cvJ/qz+ndZljEajbgVhQGgJ5kkIxxG63aTEwqhUxQSwSCuWIxBux3D27O6iqJw2WWXsXz5chwOh1jb73UPVquVO+64g4ULF/Laa6/x5z//DZerjLy8edx55/XY7SYmTBhHNBrlwIEDwu4rNzeXaDRKKpU6rgubSqV44403yMrKIjs7mzvuuOOEzifnE86LxFaSwGCQMZtPLrEd/RqJ2tpabr31Vv7zP/8Tg8HAY489JionOTk5zJo1izlz5gghF1WNtbu7myNHjtDZ2Uk4HBb/pm7KkZER+vv73/akcwnVV7vdjizLBINB/H4/Q0NDb/tvjvr6qUPuS5YsIT8/XwSfRqNR0BFHO7AOuru7+eY3vyk6Rup19Xo906ZNx2g08NOf/pSioiL27dvHl7/8FXp7m9+e4wuTTPYAVjQaiQsukJg799NnRAubPXs2119/PU888QQZGRm89NJLlJeXk5WVJYKXkw1i1PlPWZbF/GQaZwfxeJyWlhaKioqIRqPHKV+qD1Wr1SoUeVUPNL/fL4osavHHbreTn5/PFVdcwZgxY4jFYng8HkZGRvjqV7/6gf7sJEnCbDZTW1vLH//4R/buHWUpqD7LTz31FF6vl1WrVp1UcqsKQXV1dVFUVEQoFKKyslIofau2Wg899BBr165Fo9EQj8eZNGkS3/nOd4QdT2ZmJhMmTDilbrSiKGzYsAG/38/SpUtpbGykvr4ek8mEw+EQNiSnuj+Hh4d5+umnKSoqYtq0aeTn55NMJhkeHiY/Pz9ddErjnCMvL59USsJgiOP3D5zRtSRJorCwkP/3//4fer2e559/nlAoRH5+PvPmzeO66657X5remaKgoICrrrqKhx56CI/HQzKZFIqsMOoXOePii9EbDNx+55383OvlwTffZJIsM7OsjLKyMgAGBweP6za93/vV6/UsWbKE1157A7+/mVRKQySSIBYbQJKsQJI5cyRKS6ed9v7WaDRkZWVRU1PDK6+8AiAKnHa7Hb1ezwsvvCBiG1Uz4VhV6tLSUgD8fj9ZWVmndR9pfDwgSRKLFy/i2WfvIxLx4fXuIRZb+i6Xj7q6OiRJYteuXULp2Gw243K5aG1txWg0Eo/Hhbd9YWHhSSe1J3ufkyZNImGzcTQYxK4o6GIxYrJMbiiEWVGIJ5MMJBJ0FRcTSiSIRaNMmjSJ1atXv6eX9IlgMBiYOHEitbW17NnTzCuvFBKNltPd7WLChFJmzJjB8uXLefLJJwmHwwwODpKVlUVGRgbXXHPNcQJQTU1NBINB8vLyRDHtfI+Jz4vEFsBkOvnENplMMjAwQCwWo6KiAq1Wi06no6SkhIKCAvR6PYFAgDfeeAOfz4fFYqGvr4+uri4GBwfFgZFIJI6bKwwGg3i9XjFzZ7FYWLlyJSMjI5SWlnLLLbfw/PPP88QTTzA8PCwEGgwGg0jmrrjiCj772c8eV2U+kYBUTU0NN954I3/9619xu90i+FUPn2uvvYbCwkI0Gg1TpkzhBz/4Pvfc8yuOHj1IKOTGYLgUo1FhzpxB/vVfb8JqPTPfOpPJxBe/+EX27t1La2srZrOZtWvXUldXRzQaJTMzE6fT+b6bUi0cvPbaa1itVsaMGYPZbMZoNJ4U5SKNfw69Xk8sFqO1tZXCwkJqamowm81EIhE6Ozs5ePAghw4dOo6SrwoWqN1M1RhcpRQlk0kyMzNxu93Y7XasVuspHQJngr6+PpqamsjPz2fcuHE0NDQQCoVob28XyqZXXHHF+1ppKYrC/v37aWxsZN68eUIhNRqNMjAwILrS9957L9u3bwdGCwSXXHIJX/ziF8nJyTntjrS67/v7+xkcHGTVqlV861vfEntXnetRA8WTRSKR4PHHH6evr49JkyaRnZ0t7Bc0Gg2dnZ2MGTPmvD8g0zh3ULucqZQGgyGB399zVq6bm5tLZmYmVVVVFBQUcPPNN3PhhReK8Z4PCqrlYDweZ+3atQwMDGA2m7HZbFRUVIj5NzVR/NZ3vsOX7rqLOrudvLcL1yqDoqenh9LSfz4Tq3oD33HHbfzpT/+Hx7MTWR4klcrDYrGzaFEZ//Ivq9Hrzyz002q1uN1uYrEY0WiUaDQqOtMmk4nu7m7cbjcwevZnZWXR2tqKzWYTSvgajYaampMbb0rj4wtFUSgqKqW4eDKhUCOBwF7c7gFKSsaI10iSxJgxY/jCF77AL3/5S3Gu6vV6YQWoeidHIhESiYQQdD2ba2fipElcunw5Lz79NFIiQVSW8cTjZAMmRSGmKPTZbCTKyoj29BA4RvX5dNiMiqIwffokXn75LWR5Go2NPdTWlpGRkcHXvvY1Kioq2LRpEy6Xi6KiIq644orjxsNgVHBWZT5ccMEFZ+2z+DjjE5/YjgpHKRgMo+JR2dmp9+0MyrLMnj178Pv91NXVcf/995OdnS1+qVLbg4ODtLe388ILLwCjPHd1pjUcDuPz+YQARWFhIbW1tTz++ON4PB4x9K4erAaDgblz5zJ9+nSKi4sZGBjg4MGDzJgxg97eXg4fPozBYGDGjBlC9OZYnOhgUBNJp9PJ008/TUdHB16vl9zcXJYuXcqKFSsEBVKv17Ns2TKqqqrYsuVN/vCHZ3C5SnE6p3D33WYqKt7fkPpkIEkSGRkZfPe73+WOO+6go6ODZDLJxo0bMZvNZGVlUVFRwezZs0VH61hbAEVR8Pv9/OEPfyArK4tFixYxduxYNBoNLpeLYDB4VkR0zndotVrmzZvHmjVr0Gg09PX1kZGRQTwep7Ozk1AoRCwWE8p7KhMgFArR3d2N1WrF5/MxMDAgKLsqS0H1kD1Z6t+ZQBVse/LJJ4lGoySTSSorK/n0pz9NU1MT1dXVWK1WGhoaqKqqYtq0aeLr3rmfZFnm6aefpq6uDq/Xy/r16+nv70en05GTk0NBQQGvvfYa+/btE/TsVatW8YUvfOGEs7OnApWFkZ2dzdGjR2lsbBQHvEpPVoPDU/lsQqEQW7dupbS0lGQyeVxhTO24p1Kpd9HE00jjg4IkSW8XmwxAEOhEUWTg9INXdS/39vaKwk1ZWdk5Kayp7+e73/0udrudZ555BqfTybx587jyyispKSk57vVDQ0NE3xaDjMVi4howKgqpdnD/GaxWK3feeSdjx47lqaeeYv36/Wg0Oj7zmRncddcVFBRkn/F7UxQFm81GKpUiFArh9/txuVxotVoyMzNZtGgRQ0NDGI1GzGYzFRUVxGIxtm7dyvDwMDU1NSxduvQD7Zin8dGAJElkZTmor5/DgQO7CYfb8XoPUVxcLv4fRosyl1xyCSUlJTzzzDP83//9HzqdjqysrOMsAFOpFLNmzaKqquqs32dmZiZf/vKXGfF62bRhAz5ZpkhRcCgKGkUhZDBAdTWmSISEz0cimWTatNNnP0iSxNSpdcjycySTbo4e1aOOCNjtdj772c9y/fXXC0bEO0efAoEABw4cwG63Y7PZhLjn+Y5PfGKbSiXe9lRNATHi8TCRSBCz2fauB6oqT79x40YuueQSotEoDQ0NYjOpdONjoQbtqohTYWEh06dPZ9y4cVRWVpKZmYnFYkGn01FaWsp9992H2+0WhuuSJFFRUcGll16KVqulpKSEn/zkJ3z/+99n8uTJGAwGZFlm6dKlLFu27KRpBpIkkZ2dzY033siKFSsYGBjgjjvuELMwiUTiXVTQyspKxo4dS3e3l//7v040mkn09rqpqzu1btD7Yfz48axYsYLnn38eu91OdnY2BQUFZGVlEQgEePHFF7FYLOTk5IhqcCQSIRKJ0NjYyJYtW1ixYsVxAXdOTg7Nzc1MnDjxrN3n+QpJkli5ciUdHR1s2bKFgwcPilnbiRMn8pWvfAWdTie6s+rvHR0dfP/732dkZASdTicKEXq9XtjshMNhYVd1LoKZjo4OmpqayMnJobCwEKPRyPLly7n66qvx+/10dXXhdrt56623sFgsZGRkYDAYhBKp2jEJh8McOXKEWCzG448/jl6vF160kUiEt956i7a2NpEUf+UrX2H58uVnrSOk0WhYuHAhr776Kq+//jrDw8NiDraqquqU1drV59nQ0BAGg4Genh5KSkqEhYBKLVfnhdJI41zBYjFjt+ciy4N4vUfxeodwOPLPaB2mUikGBgbEnj5ZlfWzBYPBwNixY4VP5PTp03E6ne96nU6nw+PxcOTIEQ4dOoTRaBRFRZ/Pd0rzxnq9nqVLl2IyWXn55XsxGq9m8uRJ5OY6ztr7Wrx4MX/+85/Fc15RFOLxuBhfqaur4+abbxZzxRqNBrfbTSgUwuFwkJ+fn/a0P28gMXv2fLZs+RMQpbv7JWpqLsJgGF0rxya3EyZMYMyYMVgsFuFu4Pf7MRqN2O12Zs6cye233/4uDZCzcpfSqHrxz/7zP3n11Vd57YUX2LlnD/FgEKPJhD03F1syiXZgAK1Gw5y5c6mvrz+jwtuYMZVkZydQFBf9/YX4fAEcjgxRlHu/PdLX10dnZyclJSWUlZUJAbfzHZ/op0ooFOKNNx7EYlnHvHkJrNY4kydvx+3+EQbDFygoOD7AliSJwcFBjh49SiAQEIPshYWFBAIBhoaG0Ol0GI1GIeik1WpZtWoV48ePF4nssSpjxwojXHfddUyYMIHNmzfT09NDIBBg69atFBUVsXXrVq644goRWBYWFpKXl4eiKHz3u9897QqzTqcjNzdXqDS2tLQQi8Xwer3vsi5Q6RS1teNIJl8imfTR1RXhbD47PB4Pu3fvFt1Vi8VCfn4+RUVFyLJMb28vTzzxBA6HQ5jDK4qCVqulp6eHgYEBBgYG6O/vF8lKMpkUSpfp6u+ZIzs7m29/+9ts3bqVgwcPotFoqK+vF/Q9dU2rM1+KomC321m8eDEPPvigSHbVgEeSJBKJBJFIhGXLlpGXl3dOfk4+n49wOIzD4SAajQpBNovFImTxY7EY27Zt4/Dhw8Lz2WazYTAYsNlsZGZmkpOTQzAYZMuWLeTn55OXl0dhYSEFBQXAqBKzx+MhEolw1113sXTp0rMaOKvFrx/96Ec8+uijHD16FFmWmTNnDosWLTrl76UoCiaTierqahoaGnA6nej1esF6GPXY054zungaaQDEYlH27n2FgoJB7PYUlZX7kOUvsn//VUyceB1G46mPwyiKwvDwMIFAQBRQj9UNOFdQC9lWq/U4S69jUVJSQkVFBXv27MFms+Hz+cjNzSUUCp1WJ0ar1b6tOBxGkoIMDg4hSePPwrv5h03Irbfeyj333IPb7SYejwvV6ZycHC699FLBqlKD9GPVXNM4f6DRaKirm4JeX4bb3UB29nq6ugz4fNVUVy/H4Sg57rVWq5W77rqL2bNnc9ttt6HRaCgrK+POO+9k/vz5grX0QSEvL4/Vq1ez6uqr+fvjj/Pwww9z9OhRYh4PI34/+fn5rFixgs997nNnZFc1ynwwU12dz5EjLtzuMF6vj8xM+0mdvQ0NDaRSKQwGA6WlpSe0Izsf8YlNbCOREGvW/Aq7/S+UlycoLbWj0+mBJLL8HF1dRxga+jn5+VXHLQR1WH3fvn3U1tZSVVVFT08PRqMRrVZLMBjEYDCImdmamhquu+46oYR2IrU1Far0+eTJk0kkEgSDQf7lX/6F3t5e3G43zc3NVFdXc+DAAcaOHYvNZkOv158xHVCj0aDX61m4cCG7du3C5/Nx+PBh7Hb7u0zSR4PoYvR6N+DB5bITiUQxm997BvFkIUkSR44coa2tjdzcXNEBV9URVfGLI0eO0N3djU6nI5VKiflNv99PIBCgqalJdKkKCwtF0lJZWfnPbyKNk4LRaGThwoUsXLjwXfTcE61xg8HArbfeSldXl1AANxqNopJvMpmYMmUKF1544TkpQKgG6Srt1ufz0d/fTyqVwmQyEY1GRXHK5/OJfz/WM9JoNIqZ09zcXEEHUmfGCgsLhXBUTU0NDoeD2bNnfyDvTQ0kv/e974nqtWqbcTrXMpvNXHPNNRw6dIht27bh8/no6OjAarViMplYtmxZ+oBM45xBlmXeeOMZBgb+nZtuClFcXIDFYkSrPYLV+iv6+iKUl9+MRnPyKuYwGjj29vYiSZJI9D4MRKNRzGazYHC9E5I0atnz1a9+lZ/97Gds2bKFI0eOkJeXx7Rp06ioqDitGb7RzzCGRhMiGo2drbcjrp+Xlyco1ep41eTJk1m9ejX19fXpjmwawChroq1tPyUlfqxWmbq6MOXlzyBJWlyu5wmF/hWn84J3xcuqa0BxcTFjxoxhwYIFp+RkcLpQ78NkNvOZz3yGiy66iJ/85CccPnyYMWPGcOONNzJ37twT7uVThdlspqamnJaWHrzeYdxuH2PHvj9LUhXq3LlzpyjWqTaJaXxCE1tZltmxYyudnU8yb16c3FwbOl0BkmQDImi1QzidDfT0/I2cnG+h1ZpEd7WwsJBp06axYcMGRkZGmDJlCq2trQwNDRGLxRgZGcFkMiHLMgaDgdmzZ4vg92SgUgu0Wi1Go5HbbruNf/u3f2NwcFD4VfX09FBTUyOEI85GgKkoilBm9Xg8glo9ODhIQUGBuH9FUcjJySE/HzQaLx6PlWAwjMl0ZrOC6rWDwaAQ3gmHwwQCAYaHhzEYDGg0GjGrEwgEyMrKwm63H9chKy4u5uWXXyaZTDI0NCQSjMsvv/yMP6M0jsd7JbLv9drs7Gz+7d/+jfXr1/P0008LISWLxcLdd99NPB5n586dZGRkUFRUdNoFm2PHAU40TrBlyxZhW5SVlcXIyIigRIfDYaESHovFkGWZkpISEokEPp9PrM/k26brNptN2HzBqLBcMpkkkUgQj8eFIrpWqyUcDjMyMkJmZuYpv6eTgZpsq+IRZ1rsWrhwIQaDgd/85jc0NDRQUFCA1WplyZIlH1oCkMb5h1HbqWHWr/8t8+b5yMtzYLcXARmAH7O5F4vlEfr7F+B0Tjjldd/Z2SkKbCc7p3q2odVqBRPkvSBJEvX19dx3333s3LlT+G/X1dWddgFrNOiVkSQ/brf3rCmdK4pCNBrl73//O/n5+TidTm666SZBh0wrqqehYpQ14WLdup+zYEE/s2Zlk5ubDViRpBBOZws9PT8mEPgzdnveu+IOleGgjvud64KrXq+npKSEqqoqYrEYdXV1mM3ms8L8UJsCtbXjefbZA4TDHnp7A1xwwXv7yiuKwsjICF1dXRw8eJCioiKysrIEOyKNT2Biqyq0vvXWVpJJDxqN/u0qbwaQCYwKU+h0AZLJ1/D5bic7uxD4Ryfjy1/+MtXV1bz66qvYbDZuvvlmXnzxRaEq7HK5sNvt3HjjjcyfP/+0FpO6QWfPnk15eTmtra1Mnz6daDRKTk6OsBQ5G7RN9TPZunUrkyZNYtq0aW+bZmcKjyybzSZea7VacDotDA4O4fM5CAbD5OWdueAEIB5Qqg2Sx+MRvrtqR7yqqopVq1ZRWFgoHiDq3OaiRYuYMGECW7ZsYXh4mKqqKpYsWZKmOH1EkJGRwVVXXcWkSZP40pe+xKFDh7Db7TQ0NDA0NITX6xUP43nz5jF9+vST9kxVfWRVlXF1HlalOo+MjLBv3z7cbjetra2EQiGxzjQaDbFYTCS2aqd1/vz53HHHHeh0OsLhsCi49Pf309PTIwpO+/fvJxqNkp+fL8SxVIq81+slEAiIe/kgcTYPdkmSmDlzJrFYjAceeID58+djs9nIz88/K9dPI42Twajq+EHCYTfJpIQs6wAzkmQBEiiKDkXpJRQ6Akw4pWtLkkRfX5+YK1fHB84V1LNXdU+w2Wzk5OS8L2slJyeHT33qU6LYfibBqtFoJjPTRCgUJBKRhSDcmUJRFLZt28bIyAhlZWXU1NQwZcqU9PhCGifE7t1vMTy8D4NBwmi0ArmAA/AjSRFycg7T3PwaU6deJ9bPqPVkQjAh1Xj1XEMVcFTH5862TaGiKIwdW47FEkOSghw82M7UqU5yc3OPE0RVdUteeukltm7dCkBpaSkmk4nS0lLRxU3jE5jYwijtoaOjHbMZfD4Fvz+F1Rpl9O1GUJQk0aiC1zuAxRIiJ+f4OVu73c6qVatYtWoVoCor62ltbcVgMHDFFVcwb948ampqzujQUWdKMzMzGT9+PD6fjyNHjnDJJZdgs9mEOuKZDslLkkQkEuHNN99k+fLlrFixQnjHmc1ment7xQaSJOltO4Iiurv7CAQKcLt9VFScHQEp9VBVKd3qwa+KDsmyzIwZM5gwYYLo6B1bwcvKyuLmm2/m5ptvPu79pfHRgPrzqqqqYvXq1Xz3u98lHA6zadMm4VPncrkwGo0888wz+P1+Lr744pMKttxut6DoRSIRsrKyKCgoYPbs2Rw6dIhUKsVLL72EwWBgx44d4lDU6/UYDAYxa6eqDC9YsIAvfvGLosNqt9vF/U+cOPE4G60HHniAX/7yl6J7K8syPp8PnU5HNBoVRah3Wvt81KHRaCgsLCSZTOJ2u9FqtYLqfLYPbxUfp88njXMDn8/P8HCKoSGF/v4IGRkejMYYMDoH73angMQpXzeRSNDT04Ner8dkMr09c3pu119HRwexWIwJEybgdDoZGRkRYwwnwvuNfZwqdDoNNpuBcDhANBonmTzzxFYV1Hv00UfJzs5Gr9dz2WWXpZPaNN4TBw82EI/LhMMaIhEFu11GklKAjKJIxONJhoePviueHhgYEInlqTAjPwioRSaz2XxGc7XvRCwWo6WlBbNZJiNjiM7OAPfff4gxY8Zw6aWXCpZJIpHgvvvuY8uWLWRnZ5OXl8eYMWPQ6/X09fWxZcsWFixYkKb/8wlNbDUaDTZbPt3d0NOTJCsrhMEwREaGH0lKEIsFGBhIMjycTUXFifn6x1ZJFEURwlE6nY5rrrmGjIyMs7LJ3G43Pp8Pl8tFX18f119/vbi23W5nYGAAv99PRkbGGR0aqVSKkZERDh8+TGtrKxMnTsRoNOLxeIjFYsfNUer1esrLi1GUXWi1UQYGAqRSKfGAORNUVlYyYcIEOjs7qaqqEtRjk8mE0Whk6tSpLFu27H0PyfTh+dGHVqvliiuu4Je//KWg+FosFmbOnElvby+5ubl4vV42bdpEUVEREydOPG5tvVN93OPxcM899zAwMEBGRgZ2u51oNEpHRwe7d+9mzpw5/P3vfycYDDI0NCSoctnZ2Xzxi19kxowZHD58mKNHj5KVlcXEiRMZP378cRXRE80Oq53dRYsW8fTTT9PX1weM+tQGAoHjqMizZ8/+WFpOqdTB4eFh8vLy8Pv95OXlnZVrq/Tv/v5+UZj6sCrvaXw0MVpImsTwsJWWlhAZGRGSySEKCvRIUgKfL0pbWwbV1SX//GLHQPWB93g8QmHYZrOdM5FBRVHo7Oxk3bp1XHzxxdTW1mI2m4nH4/T29lJSUvKB3ocau+TlORgeDhOPxwiHI+j1Z5YgKIrCrl276O7upqioiNra2nPeCU/j4wWDwUJ/v0xPj0JnZwij0YXdHgJGGVIDAwqJxLvPBDWZ/DAoyMdCFTrVarVYLBbi8bi4vzONy9euXcuzzz5LaWkuBQVGcnOzsdvtDA8P88wzz3DFFVdQUlLCjh07eOmll7Db7RiNRhwOB2VlZVgsFoaGhjhw4ACTJk06Z+KcH2V84hJbNTGrr5/B1q3PcuhQBEWJEAwmyc3VotenCIeTDAwoRKMzsVqz/uniDAaDuN1ucTBaLJazVjkqLCwkHA6zdetWamtrCYfDpFIpcX2TyURvb6/oJp0ubDYbkydPZteuXVitVpEgjIyMsGDBgne9n9LSEozGV5CkFvbt82O3R6mtrSU/P/+070OSJMrKyrjhhhv461//SklJCX19fW8beBexcOFCrrjiCtFNTuPji9G5OZ9gBFRUVIg5lalTp9LX10ckEsHlcrFx40by8/Pp7OzE6XQSDAax2WzCdFyv1/O///u/HD58WMxb5+bmAtDd3U1PTw8PPPCAmB2PRqPodDouv/xybrvtNoqLiwGora09bq+f7DrWaDRUVFTwwx/+UAhIhEIhYcxut9v5zGc+c8J99FGHJI36S5tMJlwuF1VVVUJ060wPx1Gtgx00NDQwYcIEEdirhbp0cpsGqIKFY5k7dyWvvfYQqVQSt3uUSSXLSUpLDRgMUygoKD3pdRmPxzl48CA7duxgZGQEs9ksPLbPtEh8slAUhRdffFF8T7PZjEajwWQyodVqz5lPtM1mRpa9xONBOjt7mDRp3Gk/p1R66GOPPYbFYsFutzNv3ryzZm2WxicTM2fO5IknbDQ3BzEaIwQCSQoKtOh0KUZGEnR2mqmuvhBZlo9bm4lEQgizqi4hH9Y6UwuyFouFVCp1xveiKArt7e089NBDyLKM0WgiIyOT4uJi8vLyCIVCdHR08Pzzz+NwONixY4cQ5FTzHJvNRkZGBpFIhP7+fvr6+s5aUfrjjE9cYgujB+WiRRexYcMCDhzYQCSSxOOJk5UFBoNCNCrh9ZaxbNmnMZvffy5O9bZVfV/VasjZ2GCqhPnq1av593//d7q6umhpacHhcOB0Okkmk0KR+Uyh1+u5/fbb+dWvfsXGjRtpbW2lqKiIlStXHpdIqpvt5ZdfIi9PQ3a2n9zcMciyzO7du6mpqaGiouK0DkaVwrR//37y8/NJpVJcddVVTJs2jczMTHJzc9O+mZ8QKIrC4cOHMZvNTJ48mYkTJ6LVaoX3bSqVEr/a29vZtm0bra2tjB8/Xihi19XVMTAwQG5uLsPDw4IGlJOTg9PpFEqnGo2GQCBALBYjFotRX1/PzTffzIwZMzCZ3q3mfTr7VqvVMmvWLH7xi1/w8ssvs337dlpaWiguLmbChAnMnTv3lPaE2k35KFSijUYjWVlZwrIokTh1yueJ4PP5eOSRR6irq8PpdJKVlYVWq8VkMjE0NPS+dMw0zi9IksQdd3yBRCLK1q0v0N0dwuGA4eEES5bITJx4mM7OjWRnrwLef58lk0mef/551q1bB4zOoanU+rVr13LNNdeI58cHBTUBHBwcxOVyMTQ0RHl5ubClSyaTRCIRoW3xQXz/4eFhnn32WVyuQYqLzZjNA6xbt5a2tmouvXTpaSf4hw8fpqWlhfLycgoKCpg0aVJ6H6fxnlBHe+bMuYxt254klUricsWwWlOMG6clGtXi9S5hwoQL33WGquwrGD2DP6zEVtX2UBRFJJeRSOSMtV0OHjyIx+MhMzPzbc2OUYcQlfllMBhobGwkEBhlTebl5SHLsnB1cLvdxGIxfD7f2yMb7rP0jj/e+MQmtvn5+fzoRz/il7+0sWvXJtraXNjtCjodWCwKCxfWUV8/86SCUVUoRpZl8vPzz2pXRqvVsnLlShwOB//5n//Jxo0b8Xg8Yhg8mUxy+eWXn/H3lKRRu5B7772X5uZmIpEINTU1ZGVlHUe7Hhwc5Cc/+QnDw8NYrTbq6uq55JIlwkfP7XbjcrlOu3Pb2trKoUOHqKqqIiMjg4ULF4qENn04fnKgHkbJZJKsrCxisZiw29HpdPh8Pvx+P6FQiGAwyAsvvIAsy7S2tqLRaEgmkxw6dAi/348kSTQ1NeF0OoWat0r/VdeMxWKhoKCAG264gZUrV76nn9uZzqrX1tYyfvx47rzzTn784x/T0tJCKpWip6eH6urqk7qOLMsEAgECgQBms1lYV32YKC4u5uDBg/j9fvHZnUkQIcsyW7Zsoauri4kTJwL/8PVWhTii0egJCw9pnH+QJImioiJ+8pP/4K23rmLXrreQJAWHw8Hzz/8anc6P0/lbzGYn48fPec8CqKIo7N27lz/96U9kZmZSUlJCcXExGRkZhEIhhoaGWLduHZ///Oc/0C6jJI26H5SWlrJ9+3beeustJEmitLSUeDxOR0cHixYtOutz7Or1kskkv/3tb9m0aROFhYUUFhZQUJCHyWTm6NEOXn31VVauXHnSs/RqIS6RSLBhwwZRpFKvkUYa7webzcY3v/lN/vAHGxs3vkR7+xDRqI/LLpOYOjWDSZMuwmg8XmVYPSvUvf5Be9e+F1ShtHg8zk033URtbS02m41AIEAikcDhcJwRi1EtyEciEeESotVqicfjQgDz8OHDxONxYX1ZWFgoWB8Wi4VwOIzH4yE/P/9D7Wp/VPCJTGxhdME4ncV8//s/5NChQ7S2thIIBHn88V+xYIEfh+MgQ0NtFBWNR5LeO2lUxW5gNFhzOBwn9Ks9E2i1WubMmcNXv/pVfv/73/PKK6+Ql5dHbW0tN9xww1kzlFcrQJMnTxZ/P/Z9qNSpo0ePiqpRTk72cfPEeXl5uFyu09o8sizz1FNPkZ2djU6nY9KkSeTm5qaH3T/meGf3UbV1GhwcJBwOo9FohNiCqn6tKhT7/X6i0Sh6vV7YYKmvTyQSmEwmQqEQ8Xhc+BUPDQ0Bo/tmZGREqB5//vOf54orrjjr+/NYqHPmJpOJ+vp6du/eDYwWbC666KJ/yjhIJBJs3bqVkZER0cVuampizJgx50RV+USQZRmn08mWLVvo7e3FYDBw+PDh4zpdpwOPx4PP52NoaIi+vj5hJwQQDofPmmVCGp8MqAyMGTNmMmPGTGB0bZpMRh5//LtcdFEAWX6AzMxCiourTrguE4kEzz//PLFYDK1Wi9VqFaJuaiHt8OHDdHV1nXQh6nSh0Wi45JJLeOONN9i4cSNDQ0MUFxej1Wq5/PLLzxoVX1EUUfBTi32HDx/mpZdewmazodfrsVptOJ2jCb7b7ebQoUNMnz6d8vJyUYR8L/ZILBajra2NQ4cO4fF4eP3117Hb7ZSWllJTU3NW3kMan2xI0qjn8Te+8U2uueZy+vsHOXiwhT177qOqSiIef5FU6nLhU63GFPF4XKzJ3Nzcd1GVP2goioLL5WLt2rXMmzePiRMnCoZjVlYWAwMDZGZmntIZqTbJPB4PBw8eJBKJoNPpMJlMuN1uJEnC5/MJFeSBgQEaGhqQZVl41qpaIqp3dDKZpKCgQIxzZWdnf+zGos4mPtEZhSpWMmvWLGbOnIksy7jd3Rw+/CdKSnppbHyWgoJKtNr3rjjKskxfX5+oHKkekmf7Pg0GA0uXLmXu3LkMDQ2h1+spLCw869LiwHt6Y4XDYfbu3SvsVMxmM4FAgHA4fNy9+nw+cnNzTym5VRSF3bt3c/DgQSoqKtDpdCxdujRNPf6YQ01iQ6EQGRkZaLVaDh06xPPPP09bWxtms5nh4WEkSSIajeL1eoWqsOoDW15ejiRJBINB4vE44XCYZDIpDrZkMik8pNX14vV6RYIcCASIRqOMHz/+A01qVajJ+4wZM3jooYcIh8O0t7f/U2phMplk3bp1DAwMsHDhQsrLy9HpdOTn5wsv53OtLJpMJtm8eTNbt25Fo9HQ2NiI2Wymu7ub8ePHs2jRIsaOHXvK9yRJElOmTMHv99PW1sbkyZNpbGwUoxxdXV3MnTv3vK8sp/FuHLsmtFotK1ZcTkdHB1u3/h+zZrWzceNvWb78X3E4so/7mng8zquvvsrmzZtJpVLH+U2rzxG1C+J2u6mqOnFyfDbfR2lpKb/85S954okn6OrqIplMcumll5414ahUKkVbWxtut5uioiIx979jxw5CoRBms5lUKgUgxgCMRiPJZJLnnnuO8ePHk5ubS3b2aAE7MzMTjUYjkt1AIMAjjzzCa6+9RmZmJg6Hg+rqapLJJJMnT04zLtI4aagCTOPH1zFhgsTs2Qv49rf30NS0nQkT2mhs3Epd3UJgtCi6YcMGNm3ahNFoRKvVsn//fnJzc5kyZco502dQFIWGhgaGh4fFM0SFaiH4fsn2sUV/FcPDw2zdulVYVhqNRnw+nyhKRSIR/H4/ubm5jBs3DkVRyM7OZsqUKdTW1rJhwwYh+hoIBESOYLVaCQQC7Nu3j8LCwuOYUucbPtGJrQr1B6vRaFi+/Ep+8IO1DA5GMZnW4/F8ltzcEx8yqVSKRCLBwMAAVqsVo9GIzWb7wKpGkjRqNaQGx+dyQapJRCgUEptX9fBsa2vDarVit9uJRCIcPHiQeDxOZWWl6Oi8172q3lqpVIrnnnuOjIwMYelzrkQ80vhgEIvFjqPY9fT0sGXLFlpaWhgZGSEajWI2m9Fqtfh8PiKRiBBQgVHP2y984Qtccskl4npq8BmJREgmk4RCIVKpFPfffz9btmxBkiSSySR+v19QcdS52tLSs2NJdTLQaDSUl5dTXFzMyMgIdrudpqYmLrjggvcsHA0MDLBx40YuuOAC7Ha7YCpoNBosFguDg4NC6OpcQJZltm/fzv/8z/8gyzK5ubk4HA6ysrKEhcC6detYvXr1KdsYqaMPl156KW63G6fTSSgUYt++feh0OpYsWZJmaqRxUjAajdx88210dR1m//4djB/fyMaNjzJr1jUEg6PJm16v5/777+eJJ57A4/FQWFgoaH0mkwm/309vby8ul0somp4LqGNRX/ziF5FlWTA+zsa5pygKfX19rFmzhosuuoiSkhIOHTrEpk2beOGFF47z5R4ZGWFgYEAEzYFAgMHBQbq7u4V9icpEyc3NpaioiMLCQjZt2sSTTz5JTk4OJpOJvLw8HA4HiUSCrq6u9Kx8GqcMda2YTCZuuukW/vu/3yQvL46ivEhl5VRCoSi///3vaW1txWazUV9fj8lkwufz8eyzzxKPx5k58+TGCM8WhoeH6e7uprOzUwhbxuNxhoeHhR3PsVDj6YGBAeLxOJmZmVitVhoaGti4cSM+n0/ExqWlpQwMDIh/i8ViDA4O0tvbS35+Ppdccgm33XYbY8aMoby8nKVLl7J27VqhYaImvI899hivvfaasAs9cOAA48ePx2AwiJzlfNmn501kof5A6+vrqK9fQVvbE5jNveze/RyXXnrnu37gsiwzMDBAc3Mzvb29wkcrIyPjnN3ruYRa8SkpKWHTpk04HA5GRkbYvn07kiTh8XjIyspieHiYHTt2sHXrVkGXrqyspKKi4jjaokq36O7uxuVy0dvby/79+xkzZgxWq5WZM2ee8/eYxtlDIpHglVdeITMzk+nTp2M2m2ltbRXz2263m0QiwZ133smll17Ks88+y+bNm3G73RgMBiZMmMC1115LbW2tOKDUKuw7rX4UReHb3/423/rWt8T11c5EKpVi8uTJ3HDDDeecyqvVarn44ou5//77KS4uZt++fUyfPv09X68eVhMmTCAcDh9XINPr9YRCoXN164Jide+99zIyMkJubq6Y9y0uLsZqtRIMBnG5XKxbt47Pfvazp1wlNxqN1NfX097eDsCRI0cYGhrisssuo6ys7Lw5ZNM4M6jMq+9+98d885tf5MCBPtraXuH55/ei1xvxeLy0t7fT3d1NLBbDarXi9/sxGAxotVoikQgwOi5QWlqK3W4/5362Go3mAwnEn3jiCVEwHBgY4O6772bv3r0oyuh8st/vJysrC6/XSyKRwGq1CvaL+m96vR673Y7VakWv19PV1YVeryeVStHd3U0ymUSjGRW1ycnJoaSkRCS2b775JqtWrUrv5TROCxMnTqew8CJaW3czfnwTjY1vsWvXIbZv305RURF5eXkUFxdjs9kIhUK4XC7Wr1+P0+k8J2eIJElMmjQJi8XCrl270Ol0jIyM4HA4CAaDoiB0LFTB2RdeeIHS0lKmTp2KTqfjxRdfpKmpSczP+nw+xo4dy3e+8x38fj8PPvggra2tJBIJioqKaG5u5s0332Tx4sVib9rtdiZPnszYsWNxOp0Agk26YMECfvGLX/D000+zfPlyLrjgAtrb24nFYthsNlKpFDk5OR8I6/SjhvMmsQVV0MHITTddy5e+tIaiIpm2tvVceOEqsrPzj0vKGhsbeeSRR/B4PJhMJvR6PfF4nJdeeonrr78em832iVscqiKq6v9ns9k4evSomEs6NtjNzc0lEokwODjInj17yM7OZtKkSUybNg2bzYbP52PNmjUcPHhQdIBVwanx48efkW1QGh8uZFmmq6uLQ4cOHSceUlhYiNFo5ODBg9TX13P99deLOdIbb7yRa665RnRQVO/UY9eA+ucTrYvy8nJ+8Ytf8NJLL7F582ba2tpwuVw4HA5mzJiBxWJhYGDgA1c7PRaSJDFz5kzuvfdeIpEIXq8Xr9f7nt1NNXnt6enhyJEjOBwOHA4HsizT399/1tSITxYHDhygq6tL2CpptVrMZjMOh4PMzEwMBoOYlR4cHKSoqOikRgfUolYymWT37t1UVFQQCoW4+OKLcTqdZzS3m8b5idEZvXxuv/1r/Od//gSLxUBBgYn8/HyOHu2gpaUFWZaZMmUKX/jCF/jDH/6A1+sFEDNsLpcLq9WKzWbj8OHDlJWVfazn0CRJoqenh2g0KvZnaWkpra2tXHDBBWJ+f9KkSWRlZbFz507hu11TU8Ott95KIBCgo6OD3t5e+vr66OrqEpoH6nmfSCRIJBIkk0khXiNJo/7eg4ODx9kTppHGyUKSJIxGM8uXr+JPf9pHfn6U5uYXWb++DY1GI9agyhJQ9TgGBgbYv38/paWl5ySxzc/P58477+SnP/0pr732Gp2dnWRkZJCfn89VV111wqbYk08+STQaZfbs2cKqs6amhsOHD9PX14fNZuNzn/sc06dPF3T+8ePH09XVJSw/X3rpJdavX8+bb76J3W5n2rRpjB07Fq1WSzKZxOv1Cv9o9T6///3v8/DDD/P000+TTCYxGo2YzWbmzJlDdnY2sVhM2O19ks/g8yqxhdHqxrhxFzJu3ELa21/DYunjzTdfZOXKG9BotIIy+Itf/IJwOExeXh7l5eVYrVYikQjd3d0888wzXHvttZ8YNUCV0vS73/2O/v5+SktLOXLkCIqiYLPZiEQitLW1YbFYWLBgAfPnz+e1116jubkZnU5HQUEBDoeDrq4uXn/9dWpqamhqamLPnj3k5uaSm5tLVlYWBoOBeDyOwWB4V1cujY8XVOpMIBAQD9DMzExuueUWxo0bx8qVK48TVVDptqri7unMbJaXl3PbbbexbNkynnjiCX71q18JcbeCggLcbjfhcPicdW4VRSE/P5+amhp8Ph8ej4eOjg5ycnJO+PrS0lIqKirYu3cvOp2OQCBAYWGhCBDnzp37gd/zsejt7WVkZITs7GwxjxiNRonFYsTjceHVFwgE2Lt3r+jYwHsLzcBoIjEwMMDAwACDg4NMmjRJWCWk/S7TOF2o+g5arRmLxUJOTg4VFRVUVlYKL8e6ujpMJhPLly9ny5YtuN1ugsEgJpMJs9lMX18fdrudF198kbq6uvftXrxzPu6jtm4VRWHy5Mk8/PDDQo/jq1/9KqtXr2bSpEkEAgHuuecepkyZQl9fHz09Pdjtdurq6rj11lsZM2aMSHSTyaSYSx4ZGeHIkSPs27eP3/3udxgMBkFn7u3tFQU4t9ud9pxP44wgSRIXXTSfxx8fz8GD3ezde5D29l6cziKxHtW1qf6KRqOCEXYuzhNJkliwYAEPPvggL7/8Mi6Xi4kTJ3LxxRcLWx4Vozo+bnbt2kVtba2Yb1cUhYqKCpxOJzNnzmT27Nnv6vaazWYhxiZJEnV1dVx11VX89Kc/JTs7G4fDIcZ3CgsL8Xg8JJNJ8W+SJInxrkmTJvHLX/6SsrIyPv3pT4vxIr1ez8jIiBCa+6TivEtsYTTIvv76m/jBD7YwNBTl4MEXGBqKkpWVy6RJk3jttdfo7+/HYDDgcrmYPn06RUVFgrrT1tZGS0sLkydP/sgddicD9cBW0dbWxl/+8hd8Pp9QO1y0aBF79uyho6MDg8FAcXExl156KatWrSInJ4frrruOhoYGNmzYwFtvvUV7ezsFBQXk5eXh8/nwer1C3dZut+N0OrHb7fj9ftrb22lsbKS+vv5j+fmlMTofOzg4SHNzMzabDafTKfzVrFarUEE+FqeT0L4TGo2Go0ePEolEuPLKK/F4PMybNw+tVovdbqexsZELL7zwjL7HyUIVw6ivr+ell14iPz+frq4upk2bJv7/2Nc6HA6++MUv8v/+3/9j8+bN9Pb2kpWVhdFoZPLkyeeUxaAoCjqdTsz0xGIxuru7CYfDorOsUhbdbjebN2+mubkZh8PBhAkTGDdunFBe1Gg0yLKMoig0NTXx3HPP4Xa7SSaTmM1mjhw5gkajoaCgIL3f0zgtqN6v+/fvJxgMkpOTIzo6WVlZXH311Wzfvp2Ghgays7O58sorufnmm2lubsblcuH1enG5XAwPD/PWW29hs9l46qmnuPHGG09YCFMtvHp6etDr9RQXFwuLjY8SVqxYwfbt29m0aRMul4u8vDxqamqwWq0MDQ1RVVUlguDrr7+eyspKZs+efVxCr3bHVBEa9byuq6vjzTffZP/+/ULTQJIkvF4vDoeDWCx2UkrwaaTxXhgVYjRSWlrFvn1BjEYzyWQnkcioA4LH46Gvrw+32y28W9WO5rkeJSgtLeXWW28V4pHvJxgVjUbp6enh6NGjFBQUiK7tzJkzKSsrOyGF+Z3xkUpZjkajBINBgsHgcd9X1Rd5p1aFVqtl5syZTJo0if7+fvx+P/F4XDTiNBoNPp9POLx8EnFeJraKojBhwgSczol0dzciSX14PA0YDBls27aN/v5+LBYLiUQCj8dDKpUSdiQwqsj6cTVCVvn/amfr6NGjPProo6KiHQqFuO2225g1axaxWExsJpvNhtVqFYdbVlYWCxYsYM6cOYRCIbZs2cIrr7xCU1MTiUTiOFEptZunBiMjIyPs37+f+vr6D/vjSOM0MMp6GEdlZSUbNmwQNhYajYaBgQFqa2s/MLqpqhrY19fHtddey+TJkwWd1+v1EgqFzqmPmyRJXHjhhTz//PPIskxjYyMrVqwQ1kXvfG1tbS333Xcfr776Kk899RT9/f1cffXVwrf6XNy7LMt0dnayZ89BEokkwWAQq9UqFCedTie9vb0MDAyITo3qszc0NMThw4d55plncDqdVFVVUV5eTn5+PgcOHOC+++4DEBXmoqIiNBoNXV1d7N27lzlz3tuDNI003g+pVIpAICDWot/vF5YXR48e5ciRI5hMJurq6qitrUWSJDGHlkql2LlzJ7t27aK1tZXBwUF2797NpEmT3sWUSCaTbNq0CY/Hw5w5c8jLyyMajdLe3i4U/T8KGKVn5/Hf//3f7N69m8OHD1NTU0N2djYNDQ2EQiEWLFiA0WjkoosuYvz48cd1d955rWOhFgpvv/12fvjDHzI8PCwCaa/Xy8SJE6mrqyM/Px/gnD5z0/jkQJZlXn31Vfbu3UdGhp2iIidtba2MjIxgMpnQaDQMDg4SiUQEfVZRFPLy8j4Qx5D3w7GJ53t9X41GQ25uLtOnT2fdunXCY7agoEBY3NXU1JzUfavFcEVRaG1tpaioSFCgE4kEg4ODVFZWnvDrdDodDoeDHTt20NTURHZ2NuPGjUOj0dDd3U11dfUner9+NJ7Q5xiSJLF371683hCynIXFUkth4Rj0egN+vx9Zlmlra6Ovr4+ysjLC4TA9PT0Eg0ECgYBQbP24IRaL8eabb6IoCmPHjiUQCPDss8+Sk5NDIpEglUpx0003MX36dLRaLUaj8T3FstRNoW6g5cuX86lPfYqGhgZ+9KMf0d7eTn5+vlC4DYVCmEwmIpGIOBzT+PjCYDCIWbadO3ei0WjIz89n4cKFLFiw4ANLXlT6r9vtZt++fUiSRHFxMalUio6ODrKzs//5Rc4iVHEJu90uGB1/+9vfGD9+PPX19e9K8NX7vemmm8jJyeH+++9Hq9USCoXw+Xzk5eWd0f2oAeY7f1f/b1T0awN//OOj7N59EACdTmb8+PFcddVVTJkyhYyMDFwuFw8//DCdnZ0YjUZaW1uRZZns7GyysrKw2+2io6U+J5qamggGg2RlZYlZ3fz8fIxGI4FAgDfffJPi4mLGjBlzXKVY9eFUaVVq8SyNNFRI0qglXmlpKeFwGJ/Px+DgIAAWi4VoNEpWVpYI/NSvUaHT6SguLmZoaIi6ujo2bNhARkYGzz//PFVVVYItoSgKLS0tbNy4kU996lPCc91ms1FYWEh7e/tJB6bnAir9UH3utrW1sXbtWubOncuiRYvQ6XR4vV5hrXYq963Valm4cCH/8i//wk9/+lOGh4eFp/i+ffvIz8+nt7dXCM4de09ppPHPoHY2N216nXA4LCyn5s6dywsvvIDX6xWjMAaDgczMTILBIE6nkzlz5nzYt/+e0Gq1fOYzn6G9vZ3NmzfT3d1NTk6OoBafLDQaDSUlJcyZM4e1a9diMplIJBLk5+eTSqUoKCg4od2WmtguWbKEF198kW3bthGPx+nu7kar1b5L6PWTiPMysY1EIjzyyCOYTCZKS6txOisoLS3FaDQyNDREMpkU4khms1n4car2I8DHbrZElmXWr19Pc3Mzy5Yto6ysDFmWWbx4MVu2bEGr1XLnnXdSXl5+SvSEYytYGo2GqqoqysrKaGpqElV1l8uFTqdjaGiIzs5ODAYDFosFl8slRIRkWRad8WOvm8ZHFw6Hg6997WsEAgFCoRB2u52MjIwPtKMhSRITJ07koosuYv369Rw5coTCwkIRuF588cXnnF4TCATIy8vD6/ViNBppaGigtbWVrVu3cvHFFzN58uQT3lN9fT0ajUZ0mgYHB884se3vH6Knx8fAQILsbAPFxXaKi3PQaCQOHWrlT396jDVr3iAej6MoIEl6CgvzmTBhAmVlZeTl5aHT6bBYLKxevZo1a9bwuc99jkQiwe7du9m+fTv79++nt7dX0Bazs7MJBAKCni5JklBwLCgowGaz4fV66ezsZPPmzULNUpZlEokEO3bsoL+/nzFjxoikWbU9Sz8H0lCh0WhYuHAhL7zwAm63m1QqRTgcFpoNiUSC+vp6qqqqTrjfVEuypUuX0tHRgcvlQqPR8B//8R+UlJQwZcoULrzwQvbu3SuYWsdCnUf9KHYn1aT8scceQ6/Xk5mZKYLX3Nxc3G73aela6HQ6fD4fs2bNor29nba2Nr7+9a8TjUZ54YUXKC4uFiwwdY4vPz8/zcpI46SQTCbp6+sT87OxWIzp06fj8XjYtm0b4XBYxJbJZBKbzcbtt98u/NA/ipAkiYKCAn72s59x5MgROjs7hXOI2Ww+pWsZDAa+9KUvkUwm2bFjBz6fj5ycHFasWPGe1oLqPdTX1/Ozn/2MBx98UHjxLl++nClTpnxiKcgqzrvEVpZljh49Sl9f39vUBkSiZTQaMZlMaLVa4f00NDREJBIRM4OJRIIZM2YwYcKEj+zGeifUQ//ll19m7NixWCwWkXzMnDkTWZaZNm3acWI/pwN15nDmzJm8/PLLBAIBcbgmEgmCwSAHDhxg3LhxGAwGXn/9dcrKytBqtfj9fvLy8tBoNFRWVgqRoTQ+ulBp5kajkdzc3HMW8BmNRm677TbKy8tpaGhAo9EwceJEFi9efM6M21WEw2HuvfdekZSqQmnqHMuLL74ofCGPPUzUw2/SpEm0t7dTVlZGS0uLsD861c8xkUiwceN2/vjHTg4ezCMYdGIy2ais1HL55U1otQf505+e4ejRASAFxCkry2Lq1Bn09o5WcrVa7XHfu7y8nJUrV4ogori4mMsvv5zh4WFaWlpoaGhg7969tLW1EQwGsVgsovt6bAKgWiS0tbXhdrt54oknMJlMFBYW0tTUxNGjR1m4cCHV1dVkZ2cjyzIejweLxXJeee+l8f5Qi1p33303P/3pT8X8mHpmT506leuvv/49RR0lSWLKlCk88sgj6PV6QZe3WCwEg0E2b97M/v37eeutt4Tye1lZmaAzq97cH0UoikIwGOTw4cM4nU5GRkZIJpOCrqnOKJ/qftJoNHR2dhIKhbj66qvJy8sTxcMjR46wfv16FEWhqKhIPPfcbnfa9SCNk4ZGoyESiRAMBvF4PFitVjIzM6mpqSEWi+HxeAgGg0SjUdHV/aivLUmSsNlsTJkyRWjxnO492+12vv3tb9Pb28vw8DAFBQU4nc5/mpxqtVpmz57NtGnT8Pv9mM1mbDbbad3Dxw3nXWILEAwGhWBKKDQ6QzY0NITRaGRkZIRwOEwymUSr1TI8PIzf78doNJJIJLBYLFRVVWGxWD7st3HSULsjvb29ZGZmMjw8jNPpxGAwYDQaqaysPGsPCkmSuOyyy3jzzTdZv349brebeDxOOBxGo9GgKAqHDh1icHAQj8eDw+GguLiYBQsWUF1djV6vx+fzCVPrj/oDLI1/4Fz+rIxGIytWrGDp0qVCCOlcVyEVRWHjxo3s2LGDvLw8bDYb+fn5lJSUoNFocLlc9Pf38/zzz3PDDTcIwQh1P27fvh2TyURnZyd9fX0oikJHRwdOpxOTyQSc3GcqyzJr177Mf/7nDtzuaUjSGMzmMoxGE52dPv79358kldpFLBZHo0lis8msWLGQu+++kwMHDnDvvffi8XhwuVzCwxZG5xItFotQUFTvJScnh9mzZzN79mzhWfwf//EfvPrqq+Tl5b39XA3h9XrFDOSWLVtoaWkhIyOD9vZ2QVdua2tjzpw5mM1mIeKj1WpxOBz09fVRUlLywf0A0/jYQZIkFi1axObNm3n55ZeRZZmcnBw+97nPsWDBArKyst53z0iSxODgoLDKyM/Pp6ioiGQyybPPPktvby/RaBSLxcKOHTtIpVJUVVWh1WpxuVxn9aw8m5CkUR/6oqIiWltbaWhoIDMzk+LiYiKRCCMjI++p1v5+UBSFOXPm8MYbb1BcXMzYsWNxu91IksTKlSv5v//7PzIzMyksLBRBs1arJRAICMGcNNJ4L5jNZurr69m/fz8ejwcYHZnTarWUlZURi8UoKSnB7/cTCATIzMxkx44dlJeXf+TX1tlUU9fr9ZSVlQm206lcU208nE847xJbSZKE/1UgEGBkZER4wen1euFHKcsy3/72t/H5fDQ2NtLU1ERTUxMWi4WDBw+ydOnSj0XlCBBKahkZGRw+fJiGhgYMBgNFRUUkEgkOHTrEokWLzsp7UWd+vv/97+N2u9mxYweRSASLxUJ+fj433HADs2bN4uGHH+b1119n7NixjBs3TgS6gKA2fhQpX2l8dKB2A9U/fxh44403RHdS9YFV6dihUAitVkt7ezvPPvssNptNKAXH43EaGxtZsGAB27Zt4+jRo1gsFp577jksFgtlZWXMnj37fZ8xql/s0NAI9977GC5XLZJkx2TKIjvbhN2uEI9HGRhoJ5VKoCg+LrignLvv/jyXXLJEiMWp9h6lpaVYLBbKy8vF6IDH4xGHqYpjD1az2UxxcTH19fVs2LCBcDiMyWTC5/Oh0+lIpVJCobWlpQWDwYDJZMJqtaLT6YSViFpMPJYumd77aZwIqVQKv99PaWkpdrudhQsXsmzZspOy/ujp6eHNN9/EarWK2fDi4mL6+vpoaGgQbINx48bR1NREf38/JSUl2O125syZQ1VV1Ud2Xep0Oq6//nq++c1vsnHjRgKBgOjszJw587Rm1yVJYvHixWzbto3NmzczMjJCWVkZEydOxOFwkEwmhW4G/CPWiMfjH9nPKY2PBtTze+XKlWzcuJHOzk6SySThcFgw/WKxGJ/61KfIysriD3/4A6lUisbGxuNsbtQ48ZO+3s6kcP9J/2zeifMysS0oKGDx4sU888wz6HQ69Ho9wWBQGB/HYjGqq6tZsGABer2eyy67jPXr1/Poo4/S1tZGZ2cnra2tTJ8+/WOxYNSZt9WrV/Pzn/+cN954g6GhIfLz81EUhQsvvPCsUjhlWRYdbbPZTHV1NbfddhuTJk3C6XRiNpuZPn06v/3tb3njjTcIh8PC51J9QIXDYeER9nH4jNP4cPBhrg11ncZiMRKJBJFIRBTL1MQ2Ho/j8/nw+XwYjUbsdrugP2ZnZxMKhYRSYVZWlmCKdHZ20tzczKpVqygpKRF0QvX7yrJMPJ4gHI7w8suv0tcXQVFGrXeMRh2ZmZCbK5FKZTM8fAVdXX9j5crL+bd/u5Ly8lLBnqiurmbOnDns27cPi8VCIBDg6NGjwnN69uzZ7/sZq4ftokWLePLJJ+no6ECv14uZKHUGMjc3l/nz53PxxRfj8/k4fPgw3d3dDA4O0tvbS1dXF06nk4qKCvR6vRCYczqd6f2fxgkhSdJxPpf/bJ1IkkRfXx/Dw8MYDAbxdYlEgsLCQmGPUV9fz1133UVOTg4HDhwAYNKkSVRXV39kFJFPBEmSmDp1Kg8++CD33nsvzc3NJJNJrrrqKsaOHXva+8hqtfK9732PgwcPirGJadOm0dXVxfDwMO3t7Rw6dAiLxUJGRgZut/ucj4Sk8fGEJEnU1NTwH//xH/zXf/0XBw4cwOfzicbLpZdeyi233EIkEuHee+8lFAoRDAbp7u6mvLycYDAo/GzTDIE0VHx0n9IfIDQaDbfddhsdHR0cOnSIvLw8hoaGGB4eRqPRUFxczI033igqwHq9nsmTJ+N0Omlra8PlctHY2MjUqVNF4nUiFdKPElThDaPRyJNPPklLSwuJRIJFixZ9IPPCbreb1tZWsrOzmTNnDgsXLjyOWuxwOJg1axavvvoq3d3dtLe3k5eXh8PhIJVKnRWF2DTS+CAhy7IQmQsGg3i9XlKpFG63m8zMTMLhMF6vF4/Hw5YtW4RlVlZWFg6HA0mSWL9+PaFQiIKCAuLxOHl5eVitVmRZxufz8dxzz7Fq1SqMRhNDQ8MMDnoZGPDQ0+NneNjGwICelpZMZHkV0I4khYEI4AAkNBo9+fmriMUWkpOjkJNjF/ev0he/9a1v8etf/5odO3Zw9OhRiouLqays5PLLL6eoqOifPhtU+6e77rqLn/zkJ/h8PiEMFYlE0Gq1mEwmli1bxu23345Op0OSRv0wb7zxRg4fPkx+fr4QqsnMzMTv959zhes0Ph5IpVKMjIwAo37aVVVVJ/TNPhFUEchoNEooFMLtdmMymTCZTCxdupShoSEURcHhcFBTU8O4ceOAj0/HQ6PRMGbMGH75y18Sj8fFXjvT+7fZbMyaNYuZM2cCo12ykpISampq2L17NxaLheHhYfLz89Hr9cyZM+cjGwul8dGCRqNh8uTJ/O53v+NrX/sae/fuxWaz8c1vfpN58+ah0WjQ6XRUVFTg9Xrx+/3s2rWLo0ePotfrKSkpwWw2c/ToUWpra9NFlTTOz8RWkiRKSkr4zne+wze/+U10Op3wap07dy7XXXedoCurr8/NzaWyspJdu3YRCoXYuXMn11xzjZhB8/v9hEIhDAYDDofjpA/acwm9Xs/8+fOpr68nHA6LQPtsHj6pVIoDBw7w4osvMjw8TGFhIU6nE7vdftzrNBoNU6dOxel0snfvXkwmE/F4XAT4RUVFaduPND5SOJYmK8syPT09uFwuse+TySTNzc2UlpZis9kwmUxEo1EWLlzInDlzRPc2FApx8OBBXnzxRWKxGIWFhcIeRxVhSSQSDAwM0N3dxb//++/x+x1Eo1YSCQexmIVIJIt43EQqZSGR0GE0ZhCPN5NKDRGL9eHz2VEUG4oiEQhIyLIWrbYPrfb4uXVJkqioqODHP/4xAwMDtLe3i2dddnb2Se8/dbZeURR+9KMf4fP5iEQi5OXlkZOTw5VXXsnVV199nPegw+Hg//v//j9+9rOfsXPnTkGJdjgcjBs3jgsvvPATr96YxqlDFUPUaDSMjIzQ2trKggULTurrnE4nJSUluN1uQXdUxSHj8TihUIjy8nLBFPg4nz8fRAxybExks9n4/ve/z5/+9CcOHDhAb28vM2bM4Oqrrz4pWngaaRwLm81Gbm4uNpuNrKwsIUamqiJPmDCBTZs2EQwGefXVV5k7dy4XXXSRECDNzMykq6uLsWPHps+N8xznZWILow9ms9ksHsCFhYV8/vOfP64Le+xrjUYjF1xwAbt372bPnj10d3fz8ssvM336dHp7ewmFQtTU1GA2m+nt7aWoqEgIwHyUIEnScVYaZzupfe655zh8+DAWi4Xc3Fzy8vKYOXOmsIM59j5ycnL41re+xS9+8Qs2b97M0aNHGTt2LBdeeCFjxow5a/eVRhpnCkVRCIVCJBIJzGYzzc3N/OpXv+LIkSMYjUa8Xi/hcJhUKiUUSkdGRqipqeHTn/60EG5Rk+OLL76YgwcPcvjwYWC00GMwGLBarTgcDqEirtFoCAbDRCJlxGIS0WiISCRAODzacVKUKHp9Aq/3KFptCEXREo2a8XggGCwCjMRiURRlkOrqICbTiQPOjIwMoUR5uswTnU5HXl4eiqKQlZVFUVERX/va15g8efIJVVI1Gg0LFiygoKCA559/nr6+PvR6PVOnTmXOnDkfadpnGh8e1MRWq9WSl5fHtGnTTmqtSpKE0+nk2muv5X//938ZHh4mkUgQCATQ6/UoioJer2fhwoWCUZHGe0OSJKqrq/mv//ov4SmsKqinP7s0TgcZGRnC+kdVIE8kEjz33HO0traKUbZYLEZ2djY5OTnCWkotDg8ODlJYWJheg+cxzuvIYXh4WMyDqZWi93ooq//u8/kwmUzYbDa2bdvGnj17MBgMXHHFFZSUlKDVarFYLPT19Z3RXMsHiQ/q4EkkEjz99NPU1dVxySWXMH/+fPR6PRUVFbhcrnd1bdWZoP/5n/+htbUVn89HdXU1Y8aMeU/LhjTSONeIxWJs2bKFVCpFRUUF7e3tPPzwwwwMDCBJEuXl5UybNo2NGzficrmA0bU9c+ZMbrrppuM8r9X5WFV0qbW1lUQiQTweJxqNEg6HCQaDwtMvlUoRjw8zOLiVZDKOw2GhujqHiopCSktLqawcQ0aGnXvuuYc33jhAIqEnmZSJRELEYn0oihFFiVNR4WPFiiXv63t3ot9PBZIk0dLSQjgcxuFwMHXqVBYsWCDokO/1NePGjaOqqopYLCYEpT6Kz800PnyoZ1cgEMDhcKAoihAuOhno9Xo+/elPEwgE+Pvf/47b7Rbz7zk5Odxwww3MnTs3vf5OEurnlJ+ff9zf00jjVKEoihBLVHUWAPbs2cNf/vIXDAaD0IUZGRkhFouRTCaBf/g4JxIJ4X2bxvmL8zqx9Xg8wnQ9kUi872tjsRhr1qzB5XIxfvx4QTdUfbZeffVVsrKyKC0txWg0otPpiEQi55UfayQSoa+vj/LyciKRCFOmTBHzDoODgye07tBoNBQUFFBQUJCeyUnjQ8OxwkzHrsNEIsGaNWtIpVIsXrwYi8XC/fffj8fjIRaLUVlZyTe+8Q0mTJjAoUOHuPvuuwEoLCzkO9/5jqA7Hvs9XC4X27ZtY//+/UI4LRAIiEKbqgju8/kIBIJUVBTzjW9cSVFREbm5uWJ04tj5/h/+8IdotT9h/fodpFI+Uql+UqlsQMJgMHL33aspK/vgqthqgnHw4EE0Gg1arZbJkyeflA2Tqo6pVt7Tz4A03g8ajUZQFFV/S0VRTvr8sFqt3HXXXZSVlfHAAw/gdrspLS3luuuu48orr0zTGE8D6T2bxtmA2WwmkUgI8UCAdevW4ff7KSoqwmKxYDKZaGpqorOzUwgdqqNsAwMDZGRkfMjvIo0PG+d1Yuv3+0XiVVxcfFxn5VgoisK+ffvYvn07eXl5ZGZmUlJSImxpkskknZ2dbNu2jcLCQkKhEMPDw+ed+JHRaMRkMnH48GEaGxuxWCwUFhYSj8cFRfP9DsD04ZjGhwFFUUjE48SjUZRUCq1ej9FiQWJUBG3v3r3MmTMHq9WKxWJh8eLFHD58mBkzZnDTTTdRXl4ubC+ys7PFn59//nlmzpyJ0+lElmXcbjdbtmzhscce48iRI8JWLBgMotfrBfU2EokQjUaJRCKEQiEuvXQpU6ZMOW7m/J2jEuXlpfz0pz9l+vRnWL9+A4ODXXg8LYyMFKHX30Rbm4wsK2i1H9weC4fDHDp0CLPZjNVqpby8/JSShPT+T+OfIR6Ps23bNrRaraAP79279232QuVJCceoBaHMzEycTifhcBiz2YzNZjtujj6NNNI4tzg2Zo5Go8iyzKFDh4Slnqrm39XVxZ49ezCbzYyMjOBwOAiHwwwPD7NgwYJ0k+Q8x3mb2EqSJIzGE4mEsOZ4L7z22mvCOyszMxObzUZmZiYAJpOJZDJJR0cHW7duxe12U1JSgslkOq82l8lk4pZbbuGee+5hw4YNuFwu8vLy0Ol0XHzxxR/27aWRxruQTCQ41NBA/zPPYG1qwuz1klFeTvyiiyhatoxQMEh/fz9er5dgMIjNZuOSSy5h8uTJhMNhUbh58sknef755zEajeTl5WEymdi+fTvNzc1ccsklNDQ0sGbNGtrb2wVDJJlMYrPZxCyt3+8nMzOT/Px8WlpacLvdVFRUMGPGhf9USE2SJIqKivjCF+7gtttuJRaL8dpr6/nylx9GUcK89NIIV17pp7IyE43m7D+T1DGN9vZ2HA4HhYWF5ObmIstyugOWxllBPB7n73//O+vWrcPpdJKVlYXJZMLr9fKXv/yFlStXMmPGjH+63hRFETY/6pkuSdIpiaWlkUYaZx8mk4lUKgWMsiRVr3Z1VCcQCFBaWsr06dNFcbixsZGMjAwhUpjex2mct4mtLMt4vV40Gg2pVIry8nJyc3Pfc742EAgct7mGh4cBCAaDhMNhEokEBw4cwO12M3fuXOrq6s67zaXRaFi2bBk2m41nnnmGpqYm6uvrufTSS4WoRBppfFSQSqXY/OKLtP3qV9S0t1Ou1ZKj1aI9epTYli20bdiA8RvfQKfVcqi5mcKCApLJJGaTCZ/PR//AACUlJbz88sv8/e9/x/q2j2N+fj42m41UKsX+/ft54YUX8Pv9YiZIFVe69tprueiii3jggQfYsWOHoFRarVYMBgM5OTl8/vOfPyUhDJWmqdfrWbLkUqZOfYK9e/fh92fz3HONfOlLszAatWf9s1QUhdbWVsLhMLm5uSKxTSONswFFUejs7OTxxx8XllmlpaVkZmYSDAYZHBxk8+bN1NXVYTab3/daqspqVlYWWq1WMCWsVuu5eCtppJHGCSDLMpmZmWi1WmKxGI2Njezdu5esrCyOHDkiLPUMBgO1tbWUl5fT0dEhvJVvvPFGqqqq0nFmGudnYqsoCslkklAoJOhMAwMDxGKx42biVMiyTF1dnQhQ+/v7SaVSDAwMkEwm8Xq9KIrCd7/7XaqrqzEYDOdtl8JsNnPJJZdw8cUXCzqIOg+VRhofFSiKQsOBA7zywx9yocdDuV5PvtWKzmJBUhR0wSD1b75JY14eq6++ml/98Y/4gkGaDh3CarGgpFJcfPHFDPT18fjf/y5UGjMyMigqKiInJ4dwOMy6desYGhoiHo8jSRKVlZVcc801XHHFFRQVFaHRaJgyZQovvvgiTz75JLIsY7PZuOiii7jkkkuEmMbpwGw285Wv3MLNN/838XgFb7xRyvLlfYwbV3JW96M637hnzx7hCVpaWvousbg00jgdqF2bHTt2EAgEyMzMxGq1kpeXR15eHl6vl5GREXp6eujs7GTcuHHvu77VefC33nqLrq4uMbNut9vT51QaaXwISKVS7Nq1i0cffZTKykqMRiOhUIjHH39cOASoYwbxeBy3241Wq8VsNqPX65k9e7ZQ9E8jjfMysYXR+Vq/348sy6NdmLervCfi5kuSxEUXXcQjjzzC0NCQ8L4zm83ikJw1axZVVVUnTIzPN0iSJIRg0kjjo4hUKsVzjz+O2ePBAmSYzeiys5GyskBRkIaHUVwuctavJ5SdzSWKQufrr+Pfv5+IVktWcTFvHDhAKh7HMTCA922qsF6vx2KxiHGF6upq2tvbyc7O5utf/zqLFy+mrKzsOGVyu93ONddcQ05ODn/+858xGo04nU60Wu0ZzwpNnz6N2bOL2Lu3keHhLLZs6aempvisPaNkWSYajTI0NMT27dsxGAzivnft2kVRURFOp/OkZh/TSONYqGsrHo9jMplwuVxvq4THicfjYgY9Go2STCZJpVK4XK5/GuBKkoTBYGD27Nls3LiRSCSCRqP5p53eNNJI4+xDbSz99re/Fb7u2dnZ2Gw2oXrsdDoZGhoSzwSTySQaJjU1NVxxxRXHeaSncX7jvEtsFUWhpaWFP/3pT3g8Hmw2G0ajkYMHD+L1elmxYgUTJkx4lzhLYWEh//Zv/8YvfvELenp6kGWZwcFBbDYbs2bN4rOf/ex5N1ObRhofR8iyzNDQEO1NTVTIMopOh2QwIFks8PbcPNEo+HxoPB6sDz/MCouFsNVKRJYJ63TE3G6CIyOEdToq7XZ6gkFisRiRSIRgMIjf70dRFKZOnYpGoyEzM5NrrrkGm812QjaHJElYLBYKCgqwWCzY7Xa6uroYM2bMaSurqwI5N954Nfv2/R5ZrmD9+hTLl4+nsPDMu1OxWIzt27ezbt06Ojo62L9/P3a7HVmWycrKora2FoPBgM/nIzMzM53cpnHSSCQS7Nixg1QqRWFhIbIsc+TIEQKBAFarlYGBATQaDS6Xi3A4zNDQEJFIBKfTeVLrOhwO88Ybb9DT00N+fr5IbNPndxppnFsoisJTTz3FwMCASGrHjBlDdnY2wWAQWZaZOnUqRUVFHDhwgAMHDqDT6cjIyGDJkiV8+ctfJjs7+8N+G2l8hHBeJbaKotDX18d9992Hy+UiOzub3NxcrFaroDesXbuWrKysd821aTQapk6dyr//+7/zt7/9jU2bNpGVlcWcOXO45ZZbyMzMTB+KaaTxMUEkEiEcjRKWJAKyTCCVIjMeRxONIikKSjyOnEoRVBTaYjEiikJAoyGk1RKQJEJaLUEgBPgUBbfJRLbFgtfrpa+vT3jpqb7Xx1aY3wlFUWhubmbbtm0sW7aMKVOm4HA4SCaT9PX14XQ6sVgsp/U+JUliwYIFjBnzJ/r7mxkZsfLqq2/xmc8sQKvVnLantaIovP766/z6179Gq9WSlZXFvHnziMfj2O12GhsbKS4uZv78+WRm8UK4MQAAISNJREFUZuL1etNz9mmcFGRZpqmpifb2dpYtW0YwGORb3/oWBw8eJJFIYDKZ0Ol0xONxzGYzXq+XVCpFbW0tTqfzpL9Hfn4+VqsVrVZLYWEhJpPpA35naaSRxrFQFIVgMMiBAweQZRkArVaLyWTCarUiy7JgAY0fP57Pf/7z3HLLLQQCAcrLy1myZIkQcU0jDRXnRWKrSvjLssxzzz1HS0sLTqeTnJwcysrKhFR4f38/LpeLV155hRtuuOFddFq1cxuPx8nLy6OwsJCJEyee0RxcGmmkcW4hSRI5OTkYs7PpkWUKJImjkQh6j4eceBwtkPL7GYnF6DWZ6FywAEd9PXqNhsqCAoxmMwaTiZzcXOKxGH+8/35at2xBYzQKk3iXy4VGoyEWixGNRpk9e/YJGR2KohAIBPjb3/5GQUEBpaWl5OTkoNVqMRgMFBcXMzIyckZd24yMDL74xc/z9a//imi0kC1btJSX76SwMIe8vDyysrJO+trqPO3w8DD33XcfwWCQvLw8rFYrhYWFFBYWotfr8Xq9bNiwgerqagoLCwkGg+8pzpdGGirU/fPSSy9RUlKC0WhkcHCQ1tZWIpEItbW1hEIhBgYGCAQComik1+u56KKLRHD8XkilUhw9epRXXnmF9evXMzQ0RFZWFuFwmFQqdd5qY6SRxoeBeDzOunXr6O3tFZ7ufr8ft9uNLMuEQiECgQCRSIRUKkV+fj5jx47l4MGDAAQCgfSZksa78IlPbFXhCfXXjh07RJfCaDSSmZlJdna2CMZUG6BAIEBGRsa7DjpZljGbzUKSXO3EpJFGGh8PSJKE3W6n/sILWbttG9mpFLZYjIQsUxSJYAZi8TjDySR948dz049+ROYJKI6SJCHLMp9PJGhqasLj8QgrH6PRiEajQZZlxo4dy4IFC95z7tzj8dDW1kZhYaGw9VG/l8lkIhwOC9uc0z3E58+fx8SJf6G/v53+fj1//et+8vKMZGY6qK+vFz69x15fTWIB4R8oyzKpVIotW7bQ19cnBHf0ej12u53c3FwsFgsGg4FAIMCBAwfIz88nEomc1n2ncf5BDWgHBgYYHh6msrKSn/zkJwQCAbKzsxk7dix//etfaWxspLe3l4qKCgoKCmhubmbixInvWQRSFIUDBw7wu9/9ThRkYHQf+/1+3njjDRYvXpzWh0gjjXMEt9tNQ0MDTqeTrq4u7HY7g4ODyLKMy+UikUgwMjKC3++nqqoKjUaDxWIRdl0+ny8df6fxLnyiE1tZlmlvb6enpwer1YrFYqGyspJIJEJ2djayLBMIBNDr9UKEIpFICFuOd0IN9Px+P0ajEYPBIOgS6c2VRhofbaj7V1EUXC4XvqNHiWi17E4kSCj/f3t3Hhz1fd9//Pn97r3aAx2rY3UBEkKAARmbG+w6JgRf8ZEYhiSmbpMZx/G080un08xk2qbtH5mmbVpPWvfK9J4mMUl8kGQyxLhtEmN8lNMwxpJBgKTVgY5daXe19/f3B9lv7YRgx7aAhddjxmMMrPRdeT/fz/f9+bw/77fFuGURyefxWBZ5yyJRU0PPI48wr7n5l45vh8PBunXr+NM//VMef/xxzp49SzKZtCs2rly5kt/5nd+hufniBZsMw6BYLNqr1CMjIzQ1NdmtRzKZDIlE4n2/d5fLxYIFUYaHj+PzmTgcHgoFJ/F4nB//+McMDAywY8cO/H6/HbAnk0lSqRRTU1MkEgkmJycZGxtjZGSEY8eOkUql7IeMUqmEZVmYponT6cTlcuFyuejt7bV3dLWyLu+kvOC8YsUKnnnmGUKhEEuWLKGlpYWBgQG6urro7OzkS1/6Eul0mi9/+cscOnQIt9tNPB7nwIEDbNiwgYaGhreN2XKWweOPP04ikaChoYFoNMry5cspFApMT0/z05/+lEgkcl226hO53CzLYnx8nFgsxoYNGzhy5AhjY2PAhTPwmUwGn8+HaZosW7aMhQsXUiwWcbvdFIvF93yMRq5912xga1kWo6Oj7Nu3j/Xr17NkyRLcbjfz58/npZdeoq+vj1gsxpkzZ0gkEmSzWSYnJ+3c/fID3s8bHx9nenraXtXVuRyRq1+pVGJ8fNzOyvjPf/gHYq+8wvKqKo4DB0slhiyLOsBpGFQtWMCtn/40G++66x0XrRwOBxs3bmThwoUcPXqU//3f/+W5555j3bp1dHV1XTIF17Isu7n8qVOniEaj+Hw+WltbMQyDWCwG8L4n8X37fsSRI4eJRudRVYXdb9fr9ZLJZDh79izf+973iEQixGIxzp8/TzweJ5/Pk0qlmJ2dJZ/P43Q6cTqdOBwOisUimUyGTCZDKpUiHo/bxXymp6dJp9PE43HOnTvHnXfe+Z6vXa4vhmFwxx13MDAwwPPPP8/BgweJRqNs2LDB3rVxu924XC5+8zd/k2PHjjE7O2v3s3zttdeorq625+byYtaLL77I4OAg1dXV+Hw+6urqaGlpscfZuXPnOHbsGMuXL9eurchl0NjYaKcfb9++nd27dxOLxZienraP7nR3d/PQQw/Zi70ej8fOwMzn8++7c4Bce67pwPbpp5+2+0q63W7gQhP2np4e9u/fz5EjR+y2HKVSyc7jX7FixS+tcFzuUVtu7P5ei7qIyNyzLIt0Os2+fftwOBzceOONPLdnD/0vv8w8n4+008n/+9zn6Ojp4ejRo+SyWZqbm9m4aRO1tbU4ne/uFmmaJtFolKamJm6++WZOnDhBIBAAYHR0lPnz51/0deXzvp/85Cf5q7/6K1544QUmJyftHrcAW7Zsec8Td3ny3737OxSLRfvsbjgcpqmpiVAoxMzMDIVCgf3795PNZjEMw047Nk2TQqFAoVBgdnaWbDZr/1xLpRLpdNre1XU4HORyOTweD9lslmQyyapVq9i2bRtut1sPH/KuGIZBVVUVjz32GDt27CAejxONRgkGg/aYKC/0dHV18fDDD/PEE0/gdrt58cUX2b59OwcOHKCqqgqPx0Nraysul4uDBw+STqcJhULAhQWpcouQciB76tQpfU5FLoPy3Ld9+3a++93vEo1G+chHPsLg4CDj4+MUCgWqqqrYvHkz7e3t9rxUfl4vFAqkUikFtvILrsnAtvww++abb7JixYpfKCjhdDo5c+YMo6Oj5HI54vE4cOEg+9atW1m/fv1Fd2nKqcu5XM4+C1deRRKRq9NPfvITxsbGuP3222lsbCRUVYXP5yOZz7P6gQe4e+dOQqEQa9asAd777mj5dbW1tbS3tzM9PU13dzf9/f32xHwxpmmydetWAoEA//RP/8Thw4cZHByks7OTHTt20NjY+J7et2VZvPnmm5w5c4Zz585hWRbFYtFOGfZ4PPj9fgqFgr3wl06n7bZF5f6ewWCQ+vp6WltbaWhooL29nZqaGv7xH/+RF198kZmZGbt37ezsLC6XC7fbjd/v5+6771YbNHlP3G63vVh0qbFzzz338MMf/pDh4WFM0+TJJ58kk8kQDAYJBAL2Wdre3l4ymYy96DIxMWEvVMfjcWZnZ/H8rACciMw9p9PJvffeS1tbGy+99BKGYfDxj3+cRCLB7//+7+Pz+Thx4gTbtm3D5XJhWRY1NTUUCgUsy9J4lYu6JgPbcgN2h8PB2bNnOXXqlN2vNpvN0t/fz+LFixkdHWVycpJ0Oo3X6+WWW25h69atF23UXiqVmJiY4Ny5c3ZKXqlU0o6tyFVsdnaWvXv3smHDBrsY3LaPfQy3200ml2Pt+vV2AaQPKvgyDIMNGzbw3e9+F8BeDLvUsQXTNNm4cSMrVqywzw+VK76+F5lMht27d+P1emlrayOfz1MqleygdWZmhsnJSYrFIqlUilQqZa+QL1++nJaWFhYuXEhzczPBYNAOVp1Op10UKxqN8sUvfpEjR47YX3tmZoZAIMDmzZvttGqR9+NS47Lc//mxxx7ji1/8IqOjozQ0NNj9MM+ePctrr71GY2Mjt99+O319fUxPT9sBbbn4TPko0k033aRFGJHLyOVysXr1alatWgVcyKRIJpOEw2EKhQIjIyP09fXR1dXFxMQEsVjMrulQ7mTS0NCgcSu2azKwBezy///8z/+M3+8nlUpRXV1NMplkcHCQT3/60zz00EM899xzfOUrXyESiTA0NMTp06dZvHgxHo/H/lqWZXH48GF2797N6Ogobrcby7LsIPmGG264gu9URC6mVCoxPT3NxMQEMzMzpNNpamtr8fn93LVjB9PT0xf6rXZ0fKDf1zRNVq9ezb/8y7+QyWSor69nZGSEtra2S57XLVdrLk/Q73Ul2rIsnn/+eV5//XXuvvtuisWiXVk5nU4zMzPD+Pi4XWEyl8uRSCSIRCJ8/vOft3tyl/9563WUr83hcNDZ2clXv/pVnn76aX7yk58wMTFBIBAgFosRi8VoaWnh8OHDbNq0SWcWZU61t7fbrbGqqqqor6+3d3sXLFjAqVOn2LNnDxMTE/h8PhwOB4VCgXg8TjAYZOHChYRCIdatW6cHZJHLzDAM+9iPZVn4fD7WrFnD/v37GRsbs9sBfetb3+LEiRP2GdsjR47gdDrZtm0bS5cu1dgV4BoObA3DYMuWLcRiMZ5//nnOnDlDOBzG4/Fw//33U1tbi2VZ3HPPPezdu5czZ86QyWR49dVXaW1tpaenB4fDQalU4pVXXuGv//qvMU2TmpoaqqurcTqdZDIZnnrqKcLhMG1tbRpUIlcR0zSZN28eHo+H3t5eotEobrebQCBAOp22W+x80CzLora2lqamJqampujs7OTUqVNUV1e/Y8/rt/7Z+7mf/PCHPyQUCuF0Ojlw4ADDw8MEg0ESiYTd97OcqVJunbBy5UrC4fBF+3f/Mi0tLTz66KN86lOfso9oPPPMMzz55JO0tLQQiUR444036O7uVuV4mROGYXDu3DlGR0ftz3YgEKC2tpZsNsuzzz7Lq6++SjabpVQqYRgG6XSadDqNw+HA4/HQ3t7OkiVLyGQyOrMncgWVg9y1a9fyX//1X2QyGf77v/+b3t5eAOrq6pidncXtdlNXV8fk5CR79uwhEAjoOVyAaziwhQsVi3/jN36DzZs3c/r0abxeLytXrqSurs7+O/PmzWPbtm08/vjjZDIZZmZmiMViLFq0iGAwSC6X46mnnmJqaorm5mYikYhdjOL8+fOMjY3x7LPP8tnPftY+pyYiVwePx8ODDz7I1772NUzTZGpqinA4TDKZJJ/Pc/PNN89JwOVwOFiwYIG9I9TW1kY8HieRSNgVj+dSuSDU+Pg4t9xyC3fccQfnzp0jFovR1NRET08Px44dY3BwEMMw6Onp4aMf/eiv/LMo97Ctrq622wTt3LmT/fv3c+zYMTo7O4nH42SzWTutWg8e8kHLZDKk02k7rTiVSpFMJjl+/Dg//elPyefzOBwO1q5dy86dO4lEIgwMDJDJZOjr66O/v59FixbZc3+5qJQ+qyKXX6lUoru7m5qaGrLZLP/zP/+D1+slGo0SjUa58cYbCYfDOJ1OxsfHGRsb45VXXqGtre1KX7pcBa7pwBYupCQvXryY7u7ui67EmqbJnXfeyb/927/ZTeGnpqZ49dVXqa6uxuPxcPDgQVwuF5lMBpfLRV1dHW632z6XMzU1xfj4OI2NjdqVELmKGIbBbbfdRiqV4qmnniIWi1FVVcWqVau466675mwx6vjx40xPT7NlyxY6Ozvx+Xx2375kMkkgEJjTh+Y1a9bwzDPP8NprrxEIBPjjP/5jstksf/Znf0ZLSwstLS288cYbeL1etm3bxr333su8efPe8zWVX1dOb/7t3/5t/uiP/oiTJ09SX1/P0aNH6e7uxuPx4PF4dJ+UD4xlWReKwv2swnc8HmdwcJBcLmcXiAqFQjz00EM8+uij9nm8cpr9+fPn+b3f+z0GBgZoaGjg0KFDLF26FJ/Pp8VqkStkcHAQ0zTx+XyMjIwQCATs/66vr6ehoYFCoUAmk2Fqaoo33niDYrH4rjsZyLXruvgEvLVFwM8zDIO6ujruu+8+vv71r+P3+/n2t79NbW0tfr8fv9+Py+WiWCxSKpXsYiu5XM7u7WhZFplM5nK/LRF5F9xuNw888AAf/vCHGRoaIhgMEo1G5yywLJVK/OAHPyAUClFXV/e2ncra2lpOnz5NZ2fnnHzvsnvvvZdDhw7xwgsvkEgkaG5uBqBQKDB//nxCoRD33Xcfq1evvmSf3ffCNE1uvPFGdu3axb/+67/aPXOLxSJ1dXUUi0V7V0zk/TJNk/b2dtatW8d3vvMdu7hZPB7H4XCwYcMG/H4/d955Jw0NDW9LtTcMg0gkwmc+8xn+7u/+jkgkQm1tLf39/QBUV1fT2tqqhRiRy8SyLJLJJF//+tfJ5XKEw2Hy+Tz5fJ5CoWD/OpfL2a3o8vk8mUzGLuwq1zfdrbkwuX3sYx8jn88zOzsLXMjjr6+vx+v10tHRgdfrJR6PMzAwQF9fH319fQwNDTE5OYnT6aS+vl5pSyJXsUAgQFdX15wGtQDFYpGRkRGSySQzMzMUi0X7z0qlElNTU3PaosAwDJqbm/nKV77Cgw8+aLfuaW9vJxwO09LSgmma9PT0UFtbO2c/i4985CO0tLTw0ksvkc/niUajzJ8/n4ULF9Lf3/+2n4vI++F2u/nsZz/Lxo0bmZmZYWhoiIGBAWKxGIVCgTvuuINVq1ZdtIiZYRjcfPPNLFq0iMHBQdrb2+nq6rJ3bYeHh9VSROQyKRdr7e/vx+Vy2VX5Z2dn7Z7psViMs2fPMjAwYGdBeTweZVgIcJ3s2L4Ty7L4j//4D4rFIvF4nFAoRGNjIw0NDczMzGAYBrOzs4yMjDA4OMj09DQ+n49cLkcmk+G+++6jqqpKga3IVexynZlzOBw0NTXx+uuv09fXZ6dNWZbF4OAgfr9/zq+jnImya9cudu3ahWEY7N27l0gkQmNjIxMTE0QikTndiXI6nVRVVdlVamtra+0Hj/b2dgYGBi7Z31fk3SrvvH75y1/m3//93/nWt75l19S4//77uemmmy65k1NeZGlra6O5udluU1VXV8exY8doaGjQTpDIZXL69Gm7V63L5aKlpYXe3l48Hg9Op5N8Ps/Y2BhwoaVfMpnk9ttvV2aFAApssSyLmZkZXnzxRZqamkilUrS1tTF//nzC4TBut5t4PI7f78fhcHD+/HkSiQQej4dSqcTWrVvZvHnzlX4bInKVME2T7du381u/9VscOHDA3q0s32vuuOOOyxrM5fN5ent7GRwcZOnSpXg8Hurr6+f0Qd0wDPL5PK+//jpdXV0UCoW3vWeHw4HL5VIFWvlABYNBGhsbWbZsGR0dHdx1110sXbr0ku2mDMMgl8tx6tQp2trafiGTIBgMkk6n39aKS0TmTlVVlX3cL5VK0dnZSW9vLxMTE/bRv0gkwoIFCzh79iytra1s2rTpSl+2XCUU2P7sYTOZTOL1euns7KS1tdV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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scm.conformers.plams.plot import plot_conformers\n", "\n", "axes = plot_conformers(\n", " generate_job,\n", " 4,\n", " temperature=temperature,\n", " unit=unit,\n", " lowest=True,\n", " width=300,\n", " height=300,\n", " direction=\"along_pca3\",\n", ")\n", "axes;" ] }, { "cell_type": "markdown", "id": "8db3448c", "metadata": {}, "source": [ "## Re-optimize conformers with GFNFF\n", "\n", "The UFF force field is not very accurate for geometries and energies. From an initial conformer set you can reoptimize it with a better level of theory.\n", "\n", "The **Optimize** task performs **GeometryOptimization** jobs on each conformer in a set.\n", "\n", "Below, the most stable conformers (within 8 kcal/mol of the most stable conformer) at the UFF level of theory are re-optimized with GFNFF, which gives more accurate geometries." ] }, { "cell_type": "code", "execution_count": 10, "id": "9bb07a83", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "InputConformersSet /Users/ormrodmorley/Documents/code/ams/amshome/userdoc/PythonExamples/conformers-generation/plams_workdir.005/generate/conformers.rkf\n", "\n", "InputMaxEnergy 8.0\n", "\n", "Task Optimize\n", "\n", "\n", "Engine GFNFF\n", "EndEngine\n", "\n", "\n" ] } ], "source": [ "s = Settings()\n", "s.input.ams.Task = \"Optimize\"\n", "# must be absolute path\n", "s.input.ams.InputConformersSet = os.path.abspath(generate_job.results.rkfpath())\n", "# only conformers within 8 kcal/mol at the PREVIOUS level of theory\n", "s.input.ams.InputMaxEnergy = 8.0\n", "s.input.GFNFF # or choose a different engine if you don't have a GFNFF license\n", "\n", "reoptimize_job = ConformersJob(settings=s, name=\"reoptimize\")\n", "print(reoptimize_job.get_input())" ] }, { "cell_type": "code", "execution_count": 11, "id": "c53ade6e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[09.04|12:59:32] JOB reoptimize STARTED\n", "[09.04|12:59:32] JOB reoptimize RUNNING\n", "[09.04|12:59:34] JOB reoptimize FINISHED\n", "[09.04|12:59:34] JOB reoptimize SUCCESSFUL\n" ] } ], "source": [ "reoptimize_job.run();" ] }, { "cell_type": "code", "execution_count": 12, "id": "67bbf5b0", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Conformer IdRel. E (kcal/mol)Population at 298 K
010.0000000.455124
120.4326980.219180
230.8610180.106337
340.9014720.099315
451.3114370.049700
561.4691660.038079
671.8674580.019435
782.4763610.006951
892.6934010.004818
9103.5897300.001061
\n", "
" ], "text/plain": [ " Conformer Id Rel. E (kcal/mol) Population at 298 K\n", "0 1 0.000000 0.455124\n", "1 2 0.432698 0.219180\n", "2 3 0.861018 0.106337\n", "3 4 0.901472 0.099315\n", "4 5 1.311437 0.049700\n", "5 6 1.469166 0.038079\n", "6 7 1.867458 0.019435\n", "7 8 2.476361 0.006951\n", "8 9 2.693401 0.004818\n", "9 10 3.589730 0.001061" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = get_df(reoptimize_job, temperature=temperature, unit=unit)\n", "df" ] }, { "cell_type": "code", "execution_count": 13, "id": "185580fb", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = plot_conformers(reoptimize_job, 4, temperature=temperature, unit=unit, lowest=True)\n", "axes;" ] }, { "cell_type": "markdown", "id": "944f2cd1", "metadata": {}, "source": [ "## Score conformers with DFTB\n", "\n", "If you have many conformers or a very large molecule, it can be computationally expensive to do the conformer generation or reoptimization and a high level of theory.\n", "\n", "The **Score** task runs **SinglePoint** jobs on the conformers in a set. This lets you use a more computationally expensive method. Here, we choose DFTB, although normally you may choose some DFT method." ] }, { "cell_type": "code", "execution_count": 14, "id": "1ac015a2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[09.04|12:59:39] JOB score STARTED\n", "[09.04|12:59:39] JOB score RUNNING\n", "[09.04|12:59:41] JOB score FINISHED\n", "[09.04|12:59:41] JOB score SUCCESSFUL\n" ] } ], "source": [ "s = Settings()\n", "s.input.ams.Task = \"Score\"\n", "# must be absolute path\n", "s.input.ams.InputConformersSet = os.path.abspath(reoptimize_job.results.rkfpath())\n", "# only conformers within 4 kcal/mol at the PREVIOUS level of theory\n", "s.input.ams.InputMaxEnergy = 4.0\n", "s.input.DFTB.Model = \"GFN1-xTB\" # or choose a different engine if you don't have a DFTB license\n", "# s.input.adf.XC.GGA = 'PBE' # to use ADF PBE\n", "# s.input.adf.XC.DISPERSION = 'GRIMME3 BJDAMP' # to use ADF PBE with Grimme D3(BJ) dispersion\n", "\n", "score_job = ConformersJob(settings=s, name=\"score\")\n", "score_job.run();" ] }, { "cell_type": "code", "execution_count": 15, "id": "e4aa9128", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Conformer IdRel. E (kcal/mol)Population at 298 K
010.0000000.674970
120.7914520.177360
231.4155530.061824
341.8527650.029547
452.0019440.022968
562.2414560.015327
672.4655330.010499
782.8183000.005787
893.8009850.001101
9104.1428790.000618
\n", "
" ], "text/plain": [ " Conformer Id Rel. E (kcal/mol) Population at 298 K\n", "0 1 0.000000 0.674970\n", "1 2 0.791452 0.177360\n", "2 3 1.415553 0.061824\n", "3 4 1.852765 0.029547\n", "4 5 2.001944 0.022968\n", "5 6 2.241456 0.015327\n", "6 7 2.465533 0.010499\n", "7 8 2.818300 0.005787\n", "8 9 3.800985 0.001101\n", "9 10 4.142879 0.000618" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = get_df(score_job, temperature=temperature, unit=unit)\n", "df" ] }, { "cell_type": "code", "execution_count": 16, "id": "c9e36ae5", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = plot_conformers(score_job, 4, temperature=temperature, unit=unit, lowest=True)\n", "axes;" ] }, { "cell_type": "markdown", "id": "ec3d06a3", "metadata": {}, "source": [ "Here, you see that from the conformers in the set, **DFTB predicts a different lowest-energy conformer than GFNFF** (compare to previous figure)." ] }, { "cell_type": "markdown", "id": "017a8f40", "metadata": {}, "source": [ "## Filter a conformer set\n", "\n", "In practice, you may have generated thousands of conformers for a particular structure. Many of those conformers may be so high in energy that their Boltzmann weights are very small.\n", "\n", "The **Filter** task only filters the conformers, it does not perform any additional calculations. It can be used to reduce a conformer set so that it is more convenient to work with.\n", "\n", "Below, we filter the conformers set to only the conformers within 2 kcal/mol of the minimum." ] }, { "cell_type": "code", "execution_count": 17, "id": "3bba6a92", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[09.04|12:59:47] JOB filter STARTED\n", "[09.04|12:59:47] JOB filter RUNNING\n", "[09.04|12:59:48] JOB filter FINISHED\n", "[09.04|12:59:48] JOB filter SUCCESSFUL\n" ] } ], "source": [ "s = Settings()\n", "s.input.ams.Task = \"Filter\"\n", "s.input.ams.InputConformersSet = os.path.abspath(score_job.results.rkfpath())\n", "s.input.ams.InputMaxEnergy = 2.0\n", "\n", "filter_job = ConformersJob(settings=s, name=\"filter\")\n", "filter_job.run();" ] }, { "cell_type": "code", "execution_count": 18, "id": "e9fb0e4f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Conformer IdRel. E (kcal/mol)Population at 298 K
010.0000000.715237
120.7914520.187941
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341.8527650.031310
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" ], "text/plain": [ " Conformer Id Rel. E (kcal/mol) Population at 298 K\n", "0 1 0.000000 0.715237\n", "1 2 0.791452 0.187941\n", "2 3 1.415553 0.065512\n", "3 4 1.852765 0.031310" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = get_df(filter_job, temperature=temperature, unit=unit)\n", "df" ] }, { "cell_type": "code", "execution_count": 19, "id": "1a29c3dc", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = plot_conformers(filter_job, 4, temperature=temperature, unit=unit, lowest=True)\n", "axes;" ] }, { "cell_type": "markdown", "id": "43be9496", "metadata": {}, "source": [ "The structures and energies are identical to before. However, the relative populations changed slightly as there are now fewer conformers in the set." ] }, { "cell_type": "markdown", "id": "6bc0e0f2", "metadata": {}, "source": [ "## More about conformers\n", "\n", "* Try **CREST** instead of RDKit to generate the initial conformer set\n", "\n", "* The **Expand** task can be used to expand a set of conformers." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 5 }