{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# MQDT Calculations for Ytterbium" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The pairinteraction software supports atomic species with two valence electrons such as Yb171 and Yb174, using multi-channel quantum defect theory (MQDT). In the following, we reproduce findings of the publication [M. Peper et al., *Spectroscopy and modeling of 171Yb Rydberg states for high-fidelity two-qubit gates\"*, 2024](https://arxiv.org/abs/2406.01482). In this publication, the authors carefully benchmarked their results against experimental data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Zeeman Map for Yb174\n", "\n", "We calculate the Zeeman map for Yb174 that is shown in Fig. 13 of the publication. The Zeeman map takes into account diamagnetism." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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58kD+ay5CQ0Pp27cvkyZNIi4ujmrVqrF8+XLCw8OzFTi++OKL7Nq1y+yb7quvvsr//vc/Ro4cyaVLl6hUqRIrV67k+vXr2abm3RvKyc835S5dulCpUiVeeukl3n77bTQaDUuWLMHb25uIiAizc/NTc3Hs2DGee+45nnvuOapVq0ZGRgbr169n3759vPLKKzRp0sR0bkFes1q1amWb6XNPcHBwth6Lh71mt27dMv1u/vsaAwcOzHfNRVJSkmmJ63379gEwb948PDw88PDwMKsn6NixI4DZ8M67777L2rVr6dChA2PGjCE1NZXZs2dTv379bD0p93oNH7VGSX5rLnL79xweHk5wcLDZ356joyMfffQRI0eOpG/fvnTt2pU9e/bw/fffM3369GzDab/99pvotRDyxzprdwn3PLhC54PCwsKyrZb4oHurGR45ckRt2bKl6uDgoFauXFmdN29etnMHDx6sAjn+LF261Oxcg8GgBgQEqE2aNMnT81i6dGmOK3Teex4PriKYnJysfvnll2rXrl3VihUrqra2tqqrq6vasmVL9dtvvzWtPlhQGRkZ6ltvvaX6+vqq9vb2avPmzdXNmzdnO++xxx5Tc/pTiI2NVQcPHqx6eXmp9vb2amhoaI73b9q0qerr62vW9rAVGR977DH1scceM2s7evSoGhoaqtrZ2amVKlVS58yZY3o987KKZE6uXbum9u3bVw0KClIdHBxUJycntWnTpurChQtzfJ0L+pr9Gw9ZoTOn1+zeNXP66dixYx6edXb3fg9z+qlcubLZuZUrV87WpqqqeubMGbVLly6qk5OT6uHhoQ4cOFCNiYnJdl758uXVFi1amLVVqlRJ7dWrV4Gewz25/Xs+ffq0CqgTJ07Mdo3FixerNWvWVO3s7NSqVauqX3zxRbbfh/DwcBVQ//77b4vELZQtIrmwsoclF0LJkJycrNrY2OSY1Ak5K82v2b0ls3///Xezdk9PT3XQoEFFGsv8+fNVZ2fnHBOg3Pjqq69UNzc3VavVWjgyoSwQK3QKQgHs3r2bgIAAU12G8Gil+TXbsWMHLVu2NKtduHr1KgkJCRabRpyXWEaPHo2Pj0++7v/bb7/RrVu3Ai/GJ5RNkqpaqKRayJegoCCGDBlisWpwQRCKh2vXrvHHH3+wYMECrly5woULF3I986k4CA8Px93dPduibIKQG6LnQhAEoRDs3r2b8ePHY2dnx6+//lqiEgswfvERiYWQXyK5sLLw8HDRayEIpdCQIUPQarUcP36cbt26WTscoYTYvXs3PXv2xN/fH0mS2LBhwyPvs3PnTpo0aYK9vT3VqlUzzQ6yJpFcCIIgCEIxkZaWRsOGDZk/f36uzg8LC+PJJ5+kQ4cOnDhxgrFjx/Lyyy+zZcuWQo70v4maC0EQBEEohiRJeuTKthMmTGDTpk2cOXPG1DZgwAASExPZvHlzEUSZszK1iJaiKNy8eRNXV9eH7ukgCIIgFH+qqpKSkoK/v3++N1D8L5mZmQ/d5C2vVFXN9pnz75Vz8+vAgQPZFhrs2rUrY8eOLfC1C6JMJRc3b940W8JYEARBKNkiIyOpWLGiRa+ZmZlJcGUXYuIevbFcbri4uJCammrWZqk9Y2JiYrJNN/bx8SE5OZmMjIx87dhrCWUquXB1dQWMv4wPbsz0X7SZWr5+4zt2rznwyHOdPZ14auQTPDOmO7Z2Ym64IDwoPjaB8DNRuHu7UqV+ZSRJYvtPe5k38n8Y9AoAz7/7DK2eDuGNkEnZlgYfOuM5lr77o1mbJEkMer8PP85cj16rf+AGGPX1S9RuUZ2pvT/ldpRx99dGj9fl3VVjsXc0fmPUaXXotXocXazzBizkz+0b8Zw9coFeLz5hel+3JK1WS0ycgetHg3BzLVivSHKKQuWm4dk+dyzRa1Gclank4l63lJubW66TC9xg2uoJHBpynI/6zyEzNfOhp2Yl6lgz/Tc2L9xOj9e6MHByH+zsRZIhlC0JsYmc3nMeOwc7Gnesh72jPQd/P8qH/T5Hl6kDoNML7Xjxg34sHLUcyaDBRjJuT79m5kYc7B3RYAP/HrnMkrCRsv891W5ak4lLxjB76DxTktLqqeb0fq07Go2G7y8tIPxsFA5OdlSqXVEMiZZwu9Ye4JNBX5KpNb4XF+a/p4urhItrwa6vkI/PnTzw9fUlNjbWrC02NhY3Nzer9VpAGUsuCiLkicasi/uOz19eyPZVe/7z3OQ7qaya/gvr5m6i3bMteG3OYNy8LJ9dC4I1pSSksufng2SmZdG0SwMq1wnk4uErTOjyEWlJxl1zK9UOYPqmd5k+4At0WTrTff9euRv38m6mZOAeSZZISTDvPr6ndovqDJjQm59mbUCSJFRVpV3fFoQ+2QRZlqkVWo0rx8Lw8HGnftvapnF4e0d7ajarmuM1hZIl+U4Kn7zwFXqdZYYrHsWgKhgKOOXBoCqPPqkAWrZsyR9//GHWtnXrVlq2bFmoj/soIrnIAzsHOyZ9P5p+7/Ti/V6fEhdx6z/Pz0rLYuuKXWxdsYvKdSsybPrzNGhXBxcP5yKKWBAKTpul47f5m4m6FE3FGn70GtmNlPhURoVO4nbUHSRZQpZlPvjlbRa9vYKMB3r3oi5F8+07K8lMzzK7po2thqRbydkeS1VU6rWuRUZKJpuXbEfWyCgGhTbPhtK0S0Oad2tMs66NCDsdgU+QtymxAAio5kdAtbzvmCqUHDevxpgPf5VCqampXLlyxXQcFhbGiRMn8PLyolKlSkyaNIkbN26wYsUKAF577TXmzZvHO++8w7Bhw9i+fTtr1qxh06ZN1noKgEgu8qVqgyC+D5vP9h/3MvfVRWSmZT3yPtfPRjG196dIskSnQe1o3TuE5t0aYedgVwQRC0LOHqxiV1WVX+dvZtea/dja2/DUyCdo0aMpk7p9zOk9500f9Ac3HSWgmh/xMQnG+ykqiqrw+csLSL6TgmK4/01NMSjciopHliUU5f5XQINeoUazqjh7OPHrvM1obGQMeoVmXRvS+ukQ2j7bghY9mhJx/gb+VX1o26eFKYlo2L4uDdvXLcJXSSguvAPLG4fLimgBBQUVpYAPltf7HzlyhA4dOpiOx48fD8DgwYNZtmwZ0dHRREREmG4PDg5m06ZNjBs3ji+//JKKFSvyv//9j65duxYo7oIqU+tcJCcn4+7uTlJSksXGvgwGA78v/IvFb61E+0C3b264lXMl9MkmtOvTkhY9mlokHkH4N51Wx+VjYUiSRLXGQdja2XJ483HmDF/InegEKtepyLs/jOHg78dY8t4q453uvoEPnPwsP3y8Lts1qzetwuWj17K1+1X1ITYszpRIyDYy3YZ0IKheJb4Zu9SUZNQKqcbnO6dha2/LgY1HCD8TiU9lb9r3b4XGRlOYL4dQAuxae4AfPv6ZjJRMWvZqxsufDDR9EVv72W8sfmclBknPDmWDRd/P77n3WXHzYkWLFHT614wqlDiLM5FcWIiiKGxZtoNv31lJSnxanu9v72RPUN1A+ozvQcUa/gTXryTeZIU8UVWV3WsPcOnIVcoFePHEyx1JS0rnnU4fEnnhBgBB9QIZs+AV3n78Awx6BVVVkTUybuVcMegNpMQ/UO8gQaVaFYk4H5XtsVr2bMo/m47dTyI0Mn5VfXjru9eZ1O1jU2+ef1Uf5u79GE8fD87uv8iFfy7jUcGdtn1aiGJnIUeH/jzOe0/OMCW4kizR8fm2TFjxhumcM/sucGLvaV6Y2E8kF8WUSC4KwfHtp1kwbhnhZyNRlfy9vOUDvGjapSFBdQPp9XpXMXxShimKQviZSDLTMgluUBlHZwfOHbjIgnHLuH0znlqh1Rk972V+mL7OOMRgq0ExKFSpX4lyAV4c2XLSNFQha2SC61fi2qnr2X437Z3syfpXbUTVRkGEn4m4X3gpgUaj4Zsjn/D1qO84s/cCAO7lXflkyxSqNQ7mVtQdTu48i52DLc27NRLTPIU8mf7cF+xee8BsGE2SJf7IWIWN7f2R/MJ8P7937cgLARZJLgJr3RDJRWlWVMnFPXGRt1k65UcO/3kix+K1XJFAlmU0NjKNHq9HyBNNcC/vRoueTXF0drBswEKRS0tOR5IknFyNH8Bn919ky9IdqIpCh+fbUq91Td7v/SlH/zoJgKevB+MXv8ZH/eag1+pQFGPPQ0A1XyIv3jS/uATObk6mmRv3uJVzJTk+Jdu4dcunmnFw41GzpOP1uUPx8vPk0yHz0GZosXeyY8LyN2j7bAsMBgOXjlwjMy2TGk2r4OwuCpWFgitOycX1C/6WWeei1k2RXJRmRZ1c3GMwGPhr2U4O/XGMA78fxWCBaVQOzvY4uzvhG1SBLkM7YGtrQ6U6FcWUu2IiMz0LvVZvmhl07dR1tq/ag6pChwGtCajuy8yBX3Fg4xEA2jwTSufB7fng6U9NBZaKotD2mRbsXf+P6QNf1si4ermQEp9qVjiZE42NjKePB/ExiWY9F7VCqxEbfouE2CQUg4KskakZUo1ZWyaz8M3l7PxpPzZ2Gp4e/SQDJz+LJElkZWQRH52Il5+HaQEqQSiIi4evcHLnWVw8nGk/oLUpwc5pWOTx59owceVos/uL5KJ4E8lFEbsVdYcze86zZflO07dRS/Ly9cCgN1C1SRVadG9CVnoW1ZpUoXHHeqQmpOHq5VIo6/CXFQlxSdy8EoNP5fKUDyjH7ZvxrJvzO0m3k6nbqiZdhrTnm7HL2LToL1QV6rWtTd83e/JR388fWHFSoknnBhz96/5whSRLeFRwIzE2+f55Ejg42ec4G+nezI0H2TnaocvUma1sOWLuUJZM+gFdlg4V4/Xm7PoQd283VkxdTXR4HNUaBfPiB/1Mb+6CUNj+Wr6Tz4Z9gyRLKIqCf1Vfvj44w7Qe0L2CzvSUDFr1am5W0HlPUSQXYRf8cC1gcpGSohBcK1okF6VZcUguHpSWnM7Nq7GsmrGOS0eucivyDkC+6zRycu9DyMbOBr1Wj2s5F5p1bkjS7RR8KnvTZXB7Ii/ewNHFgdAeTdFr9WRlaCnn51mqVzLMSMsk4lwUzh7OBFTzJSM1k7+W7STxVhJ1W9eiScf6rPhgDbvW7sfOwY5+bz+Fqqp8/vICY8+TBIMm9+X3RX+REp+CqhqnXdYOrc75Q5dNQw6yRsbRxYH0lAzTv6skS8gaOVsPlsZWk63NztEOvVZvlkg4uzuh1+rR3W2XNTLB9SoxbMZzfNz/C+M6ExIMmTaAgZOf5ebVGPZtOIwkGXtIfIMqFO6LKwj/Qa/T85T7i2gz78+ukzUy/d5+ipdmPJ/r6xRFcnH1gq9FkouqtWKKzedOURHJRTESdekme3/5h/BzUez5+YDpj+/eaoSWJsmSWSLj5OZIenIGYFxZ0b28GzevxRJYw5/Hn2/N6T0XkGWZzoMfIzEumaiLN6lY05+Q7o05tfMs2iw99dvWwtbelvAzkTi7O1G5TkXSUzKIi7hN+QAvXD1dSEtOJzEuCe/A8tjZ25J8J4Xk+FR8KpfH1s6WuMjbpMSnElDdD3tHO8LPRpIQk0hQvUA8fTw4tfscN6/EULlORWq3qMH+Xw9z7sAlPH3ceeLljhz+8zh/f78bWSPzxEsdUVWVb8YsJTEuiZoh1ej3Vi9mD/2GpNvGOpi2z7Yg7HQEN65EI8syBr2Buq1qcu7AJbPX/d9rNTysLTc0NhoUgwFTJ4Uk4e7tRtLtZLMhkFa9m3Nu30US4pJMvweTfxpHhUrlWTh+Obdu3KFOixqM/GoYHt7upKdkEH0tFi9fDzx9PPIclyAUtoTYRPr5DTdr02hk2j/XmokrRj/kXtmJ5KJ4E8lFMZWZnsXtG/FEXb7J7wu3cjvqDhHnb5gtoVxU7n2oyRoZVVVNH373Fj56MClxdHFA1simIsJaodW4dvI62kwdGhuZNs+0YM+6gygGBWcPJ0K7N2H7j3tBBU8fd+q3q8PutcZN4ly9XKjXphYHfjPWJdjYaWjUoT5HtpwwxVanVQ3O7b9kmiHh4e1GQmwSSCBhjFuSJVC5+xyku88Hs96A/CZwOQ1P/Dtps7GzQTEoZnUPdVrV4MzeC6YhKlVReX/dW+z8aR+71uwHIOTJJrz7wxh0WTp2/LjPtMx2jaairkYoGXRaHUm3kvH08TBNrVcUhf7+r5gl0pIkMfzTF+j7Zs9cX7sokotL530sklzUqB1bIj53LEkkFyVIQlwS5w9cQpelY/uPe7l89BoGvYH4mETTOYXVy1Eo/rXS3r9jlyQokqfyQCJSELJGxrWcC2kJacYk7G4C88rsFznw22FO7zkPQJ2WNfho40SunbzOtu93gyTRZXB76retDWAcQlFVnN2cCvzUBMFadvy0j89f/oasdC0uns5M/mkcTTs3BIyzot7rMYO0ROOXkFZPNWfKmvFms0EepSiSiwsWSi5qieSidCvpycXDnN1/kZtXY9DYaNiydDuxEbfRaDRmix9J8t0lni1Yz1FaZEtqZAmNjbH+4cH2+u3qcHr3OeNtegPNujak0eP1WPrejxj0Cj5B3nz020QMegO/L9yKNktL66dCaN07BFVViQmPAxV8gyuU6noWQQg7E8Frjd++X7AsSdg52LLs8teU9/cCjBvfXTt5HWcPJ6o2DMrz34RILoo3sbdIKVC3VU3qtqoJwOPPtTG1R126ye0b8ZSv6MXW5buIDovFrZwrx7edIeJ8FK6ezmRl6tBmaAHjh+q9IQTFoGTr3i+usvd4mB8/OCwhyxIB1f2IvHjTWPegKJTz96Rp54ZsWboDMNaevL/2TY5uOcnONfuxd7Sj71u96DbscXavPUD42Uh8gyvQaVA7NDYann6jO2nJGXh4u5neIMcufCVbjH7BPkXwagiC9Z3ZewFFuT9cqKoqWRlaLh+9ZkouXD1div0eMQZUDAXcW6Sg9y+pRHJRilWs4U/FGv4ADP34ObPbDAYDGo2GhNhEzh24hKOLA54+7mxZuoPMdC01Q6qy5+eDXD8bhX91XwBObD8DGPeVuHIszPgBLhnfJO4tG23rYIMuU2+qRbB3siMrQ4uNjQa9zoC9kx26LD2SLGHQGbB3skeXpTMdO7s7kZGSgXR3NoV3YDluRd4xXa9Bu9qc2n3e9Dy6vfQ4e9YdNHWv9n2zJ8nxqWz7fjeSLNF9eCeeeKkjKz9cy+2oO9RrXYvBHw3g0pGrnNh+BhcPZzoPfgw3L1cGTelD0q1kAmsF4OTqSJOODRj+6Qtmr9tj/Vrx2L9eZzsHO7GCqiA8wNXTOcfNxUrajtAGFQtsuW6ZWEoaMSwi5FpGWiaSJOHgZE9c5G2ir8XiX9UXZ3cnDv95HG2WjsaP1yMu4jYndpzF2d2J9gNas2/9ISLOReJX1Zf2/VuyafE2bt+Ip3qTYEJ7NGXToq0k3UqmftvaNO5Uny1LdpB0O5kGj9Wl0eP12L32AAkxidQMqUaDdnW4eOQq0VdjCKwVQNWGQWSkZXLzSgweFdwp5+cJYOq5EMMPglB4Tu85z4+frCc1IY3Q7k0YMLE3GhsN2kwto1u9R9jpCCQJFINKk071mf7Hu2g0ltkzqSiGRU6dq2CRYZEGdeLK3OeOSC4EQRCEPDv/z2XGtZ2MohhnkEkSPPlKZ8YsMA4JZqRm8POc34kOiyW4biV6j34CWzvLbVZXFMnFCQslF43KYHIhhkUEQRCEPNu0aCuqer9IXFVh07d/M2LuUOzsbXF0ceSF9/taOcqCUZAwULDeT6WA9y+pxDrQgiAIQp7pdfpsbaqiYtAXfO8koeQTyYUgCILwUHGRt/nly02s++J3oq/FmtrbPBNqtoCcrJFp2qVhqdqtWVEt81MWiWERQRAEIUfXTl1nXLspxv1qgKVTfmL2tqnUDq1Om6dDGbPgFVZMW0NGSgZNuzTkzf+NsHLElmWwwLBIQe9fUonkQhAEQcjRwjeXk5mWZaqr0GXpmD/6O+b98wkAPV7tTI9XO1szRKGYEsmFIAiCkKOYsDizoQ/FoBAXcduKERUt0XORf6LmQhAEoYzT6/SEnb5OxIUbZqvb1gyphqy5/zEh28hUa1LFGiFahaJKFvkpi0TPhSAIQhl2K+oOE7p8ROSFGwA0eKwOH/02ESdXR16fO5Tw0xGEn40EwC/Yh3GLXrVmuEIJIZILQRCEMmz20PncvBJtOj6z9wJL3l3FqK9fwrOCO98cncXlY2Goikr1JsFlaql7MSySfyK5EARBKMMu/HMZg968ruLMvgumY1s7W+q0qGGN0KzOgIyhgNUDZXXVD1FzIQiCUIZ5+nqY7cEja2S8K5azYkRCaSCSC0EQhFIuMz2L2cPm09N1EE+XG8L3H/1sKtwc+eUwZI2ExkZG1sjYO9pl20W5rFItUMypioJOQRAEoTT6etT/+HvFLhRFhbQslk9djYuHM73feIKQJxoz79An7N9wGI2thsefb4NfsI+1Qy4WRM1F/onkQhAEoZTb/fNBY2Jh1naA3m88AUC1RsFUaxRsjdCEUkokF4IgCKWcrZ0NmQ8cSxLYOlhu+/PSyqDKGNQCFnSW0b1FRM2FIAhCKaCqKpuX7uDtTtOY2PUj9qw7aLrt2XE9TP8tScbt0Z9+o7s1wixRFCQU5AL+iGERQRAEoYT67ZstzHvjO+OBBEe3nuLdVWPpMKA1z7/7DG5eLuxYvQ87Bzt6j3qCFj2aWjdgoVQTyYUgCEIpsPaz3+4f3O2KX/fFRjoMaI0kSfQc0ZWeI7paJ7gSShR05p9ILgRBEEoBbZYue1tm9raSTq8YWB+1jxM3Lxb6Y1mm5qJsFl2I5EIQBKEEibhwgy1Ld6DL0tHmmVAatKsDQPt+rdgw70/T9uhI8FjfVlaM1PJUVWXGuR/ZEXsCQ5rW2uEI/0EkF4IgCCXEpaNXGdfufQw6PSCx/us/eG/VWNr3b83Lswah0+r4e+VuZFmm54guDJjU29ohW9SNjDtsjz0BgELh9wgYCzoLNqwhCjoFQRCEYm3ltLXotXoUw/29QBa/vZL2/VtjZ2/LmG9eYcw3r1gxwsKVps989EkWpFhgb5GiSIKKIzEVVRAEoYRIvJVsllgAJN9JsVI0hSvLoCNZl25aphygsnMFPG1dkMtob0BJInouBEEQihltlo696w6SeCuZOi1rUCukOgANH6vDxcNXTHUVGhuZem1rWTNUi1NUhYVXNrE2YjcqKjVcK/JxgyFUcPDAQWPHp42HM/nUUm6kFX4vhijozD+RXAiCIBQjWRlZjH9sKpeOXEWSJVRVZfS8l+k5oisvftCPqMvR7Ft/CIDg+pV5Z9koK0dsWb/dOMCaiF2m46upN5l6egULmo8GoLprAD+1eo+o+BgqMa9QY7m3EFbBriGSC0EQBMHKNi74i8vHrgGYeijmj1nC48+3wdndmQ/Wvc2d6AT0Wj3egeWQ5dI1un0s/goSpqU6MKgK55MjyDLosNcYlyyXJAl3W2erxSg8mkguBEEQipHY67fQaGT0isHUZtAr3IlOxNnd+IFazs/TWuEVOmcbByRkVO7XlthKNtjKmiKPxaBKGAq4ZXpB719SieRCEATBSq6fjyL8TCS+Qd7UbF4NMA516HX3EwskcHCyxzuwnJWiLBz/3DnPsfjLuNg48mRAC7zsXAHoV+kxtseeQK8a90BRUBhapQuyVPQ9NAYLzBYxiGERQRAEoais/+oPvhm31NT/32tkV0Z99RJdh7bn+PbT7PxpHwB29rZM/mkcjs4O1gvWwtZE7GLBld/QSDKqqrL+xj4WNx9HeXt3gl18WRwylvVR+8jQZxFSrhYdfRtbO2QhjyRVLTulrMnJybi7u5OUlISbm5u1wxEEoYy6eTWGwTXe4N9famf88S7NuzVGVVWuHA8jMS6JKg2DStUwiFbR033XJAzq/WEPjSTzbMW2jKjeK9fXKcz383vXXnKsMU6uBRuOSU8xMKzJ8TL3uVOiKoFu3LjBoEGDKFeuHI6OjtSvX58jR45YOyxBEIQ8iboUnS2xkGSJ6+eijP8tSVRvUoXm3RqXqsQCIE2fYZZYAKBCgi7VOgH9h3vDIgX9KYtKzLBIQkICrVu3pkOHDvz55594e3tz+fJlPD1L1x+eIAilizZTy5XjYWhsNFRrHIzGRoNflQrZzlMVFf9qvlaIsPAoqkKqPhNXG0ckyVjY6GHrgq+DJ3GZiaZpmgYU6rkHWTFSwdJKTHIxa9YsAgMDWbp0qaktODjYihEJgiD8t5jwON7uOI2YsDgAajStwid/TSGwZgCDp/Vn+dTVpnM7PNealj2bWStUi9tz6zSfnPuRdEMWHrYuTK33Io08qyJJEtMbvMSEk99yOysJgJ7+Lejh38LKEWenUPDZHsqjTymVSkzNRZ06dejatStRUVHs2rWLgIAAXn/9dYYPH/7Q+2RlZZGVlWU6Tk5OJjAwsMyNfQmCYB1vdpjK2X0XMOiNHzGyRqbLkPa8+e0IAM4duEj4mUi8K5WnWZeGpm/3Jd31tFheOvSZafhDQsJetuWHlpPwsje+9+oUPTcz7uBi40g5+7y/HxdFzcWCY81xdCnYd/CMVD0jmhwuc587JWYw6Nq1ayxYsIDq1auzZcsWRowYwejRo1m+fPlD7zNz5kzc3d1NP4GBgUUYsSAIZd2V42GmxAJAMShcOnzVdFynZU26D+9E866NSk1iAXAy8ZpZXYWKSqai5UJKpKnNVrahsrNPvhILofgrMcmFoig0adKEGTNm0LhxY1555RWGDx/OwoULH3qfSZMmkZSUZPqJjIx86LmCIAgFcftmPJePXSMtOd3UVj6gHJJ8P2mQNTIVKpW3RnhFyllj/5D2kjWd9t7eIgX9KYtKzLP28/OjTp06Zm21a9cmIiLiofext7fHzc3N7EcQBMHSVk5by3MVX+X1ZhMY4P8Kh/48DsDo+S9jY6tBliUkWcLR1YGXZw2ycrSWcyP9NvMv/8qn51ezI/aEqb21dz0qO/kgIyEjISHR0KMK9TxKVp2cgmSRn7KoxBR0tm7dmosXL5q1Xbp0icqVK1spIkEQBDi85QQrpq0xHWdlZPFhn89YFbmQhu3rsujEZxzceBSNjYZ2fVtQPqB0rLQZlX6LVw9/QZaiAxX+jD7EzYw7DAzqiIPGjnnN3uDH69uJzognyNmXAZXao7HCKpuCdZSY5GLcuHG0atWKGTNm0K9fPw4dOsTixYtZvHixtUMTBKEMu/DPZTQ2Ggx645LdqgpZGVoizt+gXutaBNYMILBmgJWjtLy1kbvIUnRmtRVLwzYbkwhZg4uNI8OrPmnFCAvOMluul82EqsQ86+bNm7N+/Xp+/PFH6tWrx0cffcTcuXMZOHCgtUMTBKGM0Ov0XD8XSfS1WO5NtCvn54liMGQ718vXo4ijK1opugyUf002NKiKsSejlBCLaOVfiem5AOjRowc9evSwdhiCIJRBMeFxTOz6MTcuRwPQokdTpqwZT8dBbfl90V9cORGOrJEx6Aw8PaY7/lVLx4JYBlUhPC0GVVUJdvZFc3d30kae1dgRd8J0ngaZIBdfnGxKVtGmUDhKVHIhCIJgLTOe/5KYsFjT8T9/HOP7j35m2PTn+WLPR2xesoPbN+Kp0bQKbZ4JtWKklpOkS2PCicVcTDEuSx7s7MtnjV7Fy96Nnv4tuJF+i7WRu1CBQGdvPq4/1LoBW5iiSigFXURLbLkuCIIg5ERVVS4evoJieGDtBkXl7H5jkbm9oz1PjexmrfAKzfxLv3I59abpOCItjjkXf+bjBsOQJIkR1XsxJLgrGYoWT1uXUrVWB4BigWENpYwOi5TNZy0IgvAfEm8lcenoVZLjUwDjRmLu5V3NzpE1MuX8S/feRmeTw1EeKNg0oHAu6brZOY429njZuZa6xEIoGJFcCIIgPGDjgi3093+Fkc0n0t9vONt+2APA63OHIkkSGhsNskbGwdmeQVP6WjnawlXB3gP5gXUaZCTKO7hbMaKipaiyRX7KIjEsIgiCcNeV42F8Nep/pu3Q9ToDs4fOo3aL6rTv3xrvwPIc/P0odg62dBncHp/K3tYN2AIMqsIP4dv4O+YoNrKGZwPb8uTdTcReq9aTMcfmo1P0AGgkDaOq97ZitEXLgIShgItgFfT+JZVILgRBEO66dOSqKbG4x6BXuHI8DP+qvtRtVZO6rWpaJ7hCsuzaFr6//rfp+LMLa9FIMt38QqjpFsh3IW+xM+4kKirtvOtTydnHitEKJYVILgRBKJMUReHayetoM7VUaRiEg5M9ng9Zm8LLr/TWVvx2c3+2tt9v/EM3vxAAApzKMzCoY1GHVSxYYlhDDIsIgiCUERlpmUzuMZNTu84BUD7Ai1lb3yeke2OadG7Asb9PGVfd1Bl4rF/LUtdbYUbNqSmHxjLIQMGHNbIvr1Y2iORCEIQy5/tpazmz57zpOD4mkRnPz2XhsdlM/30Sfy3byc2rMVSuE0jHQW1LxUyISylR7L91FlvZho4+jfF19AKgu38oqyN2mKUT3f1DrBOkUGqI5EIQhDLn4pGrKMr9j1PFoBB26jqqqmJja0P34Z2sGJ3l7b99limnliJJEqqqsur6Nr5pNobKzj68XOUJbCQNW2OPYiMZCzq7+5WORcAKSgyL5J9ILgRBKNWSbidz7sAl7B3tqN+uNrZ2tlSoXB5ZI5sWxZIk8PT1KBU9FDn56uJ6VFTTXiCZBi1Lrm1mWv3BaGQNL1V9gpeqPmHlKIsfsXFZ/pXNZy0IQplw8chVBtd4g/efmsWELh/xRot3SUtKY/AH/XH1ckGSJWSNjKyRGbvwVWuHW2gSdClmwx4KKreyEq0VjpAL8+fPJygoCAcHB0JDQzl06NB/nj937lxq1qyJo6MjgYGBjBs3jszMzCKKNjvRcyEIQqk1c+BcMlLuv8GGnY5g+dQ1vD53KN+e+pydq/eTlaGlebdGVG0YZL1ALUSr6LmWehNZkqjq7G/aZKyWayXOJoebtkeXkajrHmTFSEsGFQmlgAWdaj7uv3r1asaPH8/ChQsJDQ1l7ty5dO3alYsXL1KhQoVs569atYqJEyeyZMkSWrVqxaVLlxgyZAiSJDFnzpwCxZ9fIrkQBKFUUhSFm1dieHBXcMWgEHYmAgBPHw+eHt3dStFZ3q3MRN46sYCojFsAVHepyKxGr+Ju68ykOs/x9onFptsaeVZjWJXStxeKpVlrWGTOnDkMHz6coUONG8EtXLiQTZs2sWTJEiZOnJjt/P3799O6dWuef/55AIKCgnjuuef4559/ChR7QYjkQhCEUuHCoctc+OcKnr4etO7dHBtbG8pXLMftG/God4s3ZY1MQDU/K0daOD6/uIbozDum46upN1lw+Vcm1nkeX0cvloS+xfW0OOxkDYFOFUptfUlxlZycbHZsb2+Pvb19tvO0Wi1Hjx5l0qRJpjZZlunUqRMHDhzI8dqtWrXi+++/59ChQ4SEhHDt2jX++OMPXnjhBcs+iTwQyYUgCCXehq//ZP6YJabZEPXa1mbWX1N4e+lIJveYiTZTB0CFSuUZPK2flaMtHJdSIk3DHgAKChdSIkzHtrIN1Vz9rRFaiWXJLdcDAwPN2qdOncoHH3yQ7fzbt29jMBjw8TFfCdXHx4cLFy7k+BjPP/88t2/fpk2bNqiqil6v57XXXuPdd98tUOwFIZILQRBKtKTbySwYtxQwbo0OcHbvBTZ/t51er3flf2e+4Pj2Mzg42dGiZzOcXB2tGa5F3HueD/Y+lLdzJ1mXbloAS0aigr2HNcIrNQwW2HL93v0jIyNxc3MztefUa5FfO3fuZMaMGXzzzTeEhoZy5coVxowZw0cffcSUKVMs9jh5IZILQRBKtFtRd8zWrADQ2MjEhscB4FfFB78qpWM/DEVVWBa2mV+idqNTDLTzbsD4Wv1w1NgzqsYzvHNiIQbVuCakvcaOV6v1snLEwj1ubm5mycXDlC9fHo1GQ2xsrFl7bGwsvr6+Od5nypQpvPDCC7z88ssA1K9fn7S0NF555RXee+89ZLnoJ4aK5EIQhBLDYDCwZckOwk5H4BtcgR6vdcYvuAJ2DramoQ8w7mYaVK+SFSMtHOsid/PDA5uM7Yw7gUaSmVhnIA08qvBtyFvsvXUajSTzWIWG+Dh4WTHaks+SwyK5ZWdnR9OmTdm2bRu9e/c2XkNR2LZtG6NGjcrxPunp6dkSCI3GOFNIVa2zlLtILgRBKBFUVWXG81+y++cD2NhoMBgUdq7ex5zdHzLx+zHMeH4ueq1xa/COA9vScVBbK0dseXtunTI7VlDZe/uM6TjQqQLPVS6bm4wVBgUZpYDDIvm5//jx4xk8eDDNmjUjJCSEuXPnkpaWZpo98uKLLxIQEMDMmTMB6NmzJ3PmzKFx48amYZEpU6bQs2dPU5JR1ERyIQhCiXDx8BV2rzVWy+t1xq7/C4eusG/9Idr3b82KK/O4djIcDx8PajStUipnQ9hr7JAw32vMVhZv46VN//79uXXrFu+//z4xMTE0atSIzZs3m4o8IyIizHoqJk+ejCRJTJ48mRs3buDt7U3Pnj2ZPn26tZ6CSC4EQSgZkm4lZ2uTJInEu+3eFcvhXbFcUYdVKC6nRLEsbDMJ2hQaelRlSHA37DV29Alsx7GES0hIpsLNAZU6WDna0sugShgKOCyS3/uPGjXqocMgO3fuNDu2sbFh6tSpTJ06NV+PVRhEciEIQrGTHJ/C8vdXE342korV/Rjy0QCqNgrC1t4GnVZv+uquolK7RQ3rBmthkelxjDn2NTpFj4LKpZQorqfHMr3+y4SWq8MnDV7h1xv70Co62ldoxBNik7FCY42ai9JCJBeCIBQr2kwtb7afSsT5GygGhTN7L3B8+xkWHp/NlDVvMuO5uWSmZ6GxkRn19cvUbFbV2iFb1F8xR9CrBpS7GZSKyj93znMrK5EKDp40L1eL5uVqWTlKQfhvIrkQBKFYObnzLOFnIk3HikEh+losh/44Rvv+rVkT+z/iIm5T3t8TZ3dnK0ZaOPSKPuf2u1NMhaKjWmDLdbWM7ooqkgtBEIqVB6eUPigzXQuAo7MDlWtXLMqQCoVeMfDrjX1cS7uJr4MXz1Zsh5ONA22867M2cpfpPFmSCXb2FdNKrcCAhKGAG5cV9P4llUguBEGwmsiLN/h0yHzCz0RQobI34xa+Qt3WNXH2cCIjJRPFoCDJEnYOdjR+vJ61w7UYRVWYdmYZB+6cRZZkVFVlV9wJ5jUdS133YKbWG8yCK7+SpE2jnkcw79R6Do1UNr8BCyWTSC4EQbCK9JQM3np8GolxSSgGhagLN5jY9WO+PTOHWX+9zycvfMXNy9FUqOzN20tH4lPZ29ohW8yllCj23zkLYNoPJCwthj23TtHZtxltvRvQ1ruBNUMUAEUteEGmYp01rKxOJBeCIFjF+YOXiI9OMB0rioo2U8uRzSfoOaIrS89/iaqqpXK9ihRderY2CYnkHNoF61EsUHNR0PuXVCK5EAShSGRlZHHzaiwe3m54+nhgY5f97UdVQWN7v700JBYRabHsv30WG1nDY94N8XbwoJprAA6yLVmK3rReBUB9jypWjFQQLEckF4IgFLoz+y7w/lOzSIlPBWDAxKd5YWpfgutX4vq5KBSDgqyRcfNyodVTzawcreWcSLjChJOLUFTjxNIVYVv4uukYKjv78FH9l5h2djmp+gxsJRvG1uxDDdeSX6hamihIKAUsyCzo/UsqkVwIglCosjKyeP+pWaQmppnafvpkPTWaVeWz7R/w7YTvuXI8DP9qPrz8ySA8vN2tGK1lfXVpHQZVMfVOZBi0LL66kekNXqaJVw3Wtf6QeG0yHrYu2GlsrRyt8G/WXKGzpBPJhSAIherm1VhTj8U9GlsN5/ZfpO0zobz5vxFWiqzw3cpKMhv2UFCIy7xfZ2Ija6jg4GmN0AShUInkQhAEi4q6HM2RLSewc7CjzTMheHi7ZTtHNSh4VCg9PRSKqnA4/gJ3spKo5lqRGq6BANRwrcippGsod2eEyEjUdCt9W8GXVqKgM/9EciEIgsUc+/sUk3vORK81oKoqKz5YzVcHZvDcpKf5ceZ6bGw1KAYF3yo+9Hi1k7XDtQiDqjDtzBIO3J1aCvBa1ad4NrA9b9cawFsnFhCdeQeA6q4VebVqT2uFKuSRggX2FhE1F4IgCAXz+fAF6HXGxAIgIS6J5VNX89Z3r1O9SRXOH7yERwV3nnylU6lZuntn3HGzxAJg0dXfaOfdCF9HL5aEvMPV1JtoZJmqzv5oZI2VIhWEoiOSC0EQLOZ2VDzqA6sGKXrjviCSJNH22Ra0fbaFFaMrHDczbqGRZNNiWGDcbCw2Mx5vBw/sNLbUdq9sxQiF/FItMFtEFT0XgiAIuXd6z3nWfbGRjNRMWvZqzlMju1G5TkXT1FIAWSNTtWGQdQO1oARtCqcSr2In29DEswb2GjsqOfmaJRZgrK3wcyxnpSgFSxFbruefSC4EQcizM3vP89bjH6CqKqqicuzv0yTEJDLp+9G80/kjEuOSAKjeJJghH/a3brAWciH5OhNOLiDdkAVAJScfvmj8Bu28G9LJpxl/xx4BjCttjq3Zj3L2padgVRDySiQXgiDk2YZ5f8LdxOKen+dsZMhHA1h28UsuHr6KnYMttUKrY2NbOt5mPjn/A5kGrek4Kv0WS8P+YEyNvrxT63l6+rfmdlYiVVz8qehUwYqRCpYiZovkX+n4qxcEoVCpqkpaUjrO7k5IkkRWutZUtHmPXqtHMSg4uzvTpFPp2nRLVVWiM26j/GvNiutpMYBxmfI67kFWik4oLGJYJP/KZkolCEKuHd5ygme9h/G01xCerTCMI3+dpHXvEB7MLWSNTEj3JmhsSsdMiIvJEeyMO87V1BuAMXnwdSiH/EBxnoxMJScfa4UoCMWaSC4EQXiomPA4pvaeRWqCcenu1Pg03u89i0aP12PY9OdxdHXAxlZDix5NmbDiDStHaxmLrvzKqGNfMP3cCl478hmrrm8F4O3az2En31+i29fRi8HBT1grTKEI3NtbpKA/ZZEYFhEE4aHO7ruILktvOlZVFV2mjnMHLvHcpKd5btLTpWpb9FOJV/k5aqdZ29KwP2hZri713KuwJGQSJxOvYCfb0NyrNo429tYJVCgSYlgk/0RyIQiCSUx4HEe2nMTGzoZWvZrh5OaY43nOD7SXlsQCIDI9Nsf2iPQ4gl388XbwoJNv6dm1VRAKi0guBEEAjNuiT+z6MVnpxqmWS309+HznNKo3qcLVk+GmHopqjYJo0rnkF2xmGLI4En8RraKjoUdVytt74O/oneO5AQ9pF0o30XORfyK5EAQBgC9eWYQu8/5Uy8RbySz/YA2f7fiA1bM2EHU5msAa/vSf8BS2diV7e/BEbSrjjn9FVMYtABw1dsxs8BqNPKrxpF9LNkUfMJ37XKVOVHMNsFaoghWJ5CL/RHIhCAIAseFxKA8u3W1QuHklBidXR4Z+/JwVI7O85eF/cjPjjuk4y6Bj1vkfWNFiMmNq9KVDhSbczLxNJScf6roHWzFSQSiZRHIhCGVQxIUbLHp7BbFhcVRvUoVXP3+RoHqBXD4W9q+lu0vnnhgRabEo3F+yW0ElJjPeNPTT0LMaDalmxQiF4kD0XOSfSC4EoYyJj0lgbOvJpCWnoxgUIi/e5MqJMCaufINJ3aaTEGtcurtSrQBe/mSQlaMtuIi0WI4lXMROtqOtdwNcbZ2o7OzLmaQwU4Jxby+Q0lScKhScSsG3TFcffUqpJJILQShj9q0/RGpiqmkRLMWgEH4mkvTkTJac/5LzBy9hY2dD3da1sLMv2bUVh++c5/0z32FQFVRUVl7fzNdNxjEk+AlOJF4mMj0OAAeNHRNql/xEShCKC5FcCEIpp9PquHYqAkmCKg0qY9ArgMS/v1MpBgUXD2ead2tslTgLw+cXfzIlFgDxWSmsCN/M+Jr9WdD0TY4lXEKr6KjnXkVsNCZkI4ZF8k8kF4JQit2JTmBC5w+5fi4KMCYX4//3GnaOdugytSiKiqyR8a5YjhrNq1o5WstSVIV4bbJZCqWgEHO3kNNeY0fL8vWsE5xQIojkIv/E8t+CUIp99fq3RF26aToOPxvJz59v5NOtUwhuUBkXT2fqt63N7G1TcXR2sGKkBaOqKrtvnWDRlfWsidhGmj4DWZIJdPL5134gElVdxLRSQShsoudCEEqxi4ev3B0GMVIMChcOXaFOy5osPDbbipFZ1nfXNrI2ajsaSYOqKmyOOcjXTcbzbp0XmHByAUk6494oNd0q8UJQVytHK5QUouci/0RyIQilhDZLx9rZv3H52FW8/Lx4/t2nKV+xHAkxiab1K+4NgZQmd7KSWBu1HQCDagDgZsZt/ow+SJ/ADiwPfY+LyRHYa+yo5VoJjVw6dm4VCp9ILvJPJBeCUAqoqsqHfT/n0KZjqBjrKPZtOMSb/3uNaX0+R6/Vgwq29ra8NmewtcO1qERdarY2WZJJ1KUA4GzjSBOvmkUdllDIFEV59EmC1YjkQhBKgevnovjn96OmY0WvkBCbSNSlaBad+Iy9v/yDJEm069MCvyo+Voy0YDIMWfxwfQthqTfxcyzPoMpdCXD0xtXGiVR9hmlWiEE1UMdNrKxZGkVdjmbG83O5cOxSoT+WqkqoBex5KOj9SyqRXAhCCZV0O5mE2CR8gyuQnpKR7XZZlshIyaRidT8GTOhd9AFamEE1MOnUAi4mX0dBRU6QOXTnHAuavc20ei8z9cz/SNGnA/B8pS60Kl/fyhELlqbN0jGxy0fcirqDqhT+8lQKUoEX0Sro/UsqkVwIQgm0asYvLJvyI6oKzu5OvPvDGDx93Em6nWJavlsxqDTtUvJ3L73nXFI455PDTccKCrFZ8ey/fZrOviH80OIDYjLjcbd1wcPOxXqBCoUm4lwUsddvWTsMIRfEVFRBKGEObznB0sk/mlbYTE/O4OPnvmDqz2+ZhjycXB2ZuPINaoVUt2KklpWpaLO1SUCmwdhur7GjsrOvSCxKMTtHuyJ9vHsFnQX9KYtEz4UglDDn9l9EY6PBoDfOjFBVlYyUTGQbDcsufkVmehb2jnYlep+MyPRY5l5aTURaLP6O5Rldox81XSvhYuNIuj4TBRUJ0EgaGnmWngRK+G+BNf1p1rURR7eeBEPhP56oucg/0XMhCMXcpaNX+XTIPD7s+xlblu3Aw8fdNPTxII8KbgA4ONmX6MQiVZ/O2yfmcS4pnGR9GpdSInnn5Dz0qoGZDUbg62CcSuth68oHdV8i0KnkFqgKeSNJEtPWv82ACb2p/1hta4cj/AfRcyEIxdilo1cZ0+o9FEVFVVT2rPuHgZOfpVKdikScj0LWyBh0Bp4a1Q2/4NLxIXs68RoJd6eRgrG2IlWfwdH4C3T2DWFp6GT0igEbsV5FqbVvwyFWzfiF9OR0WvZqzpCPBpg20bNzsGPY9OdJTk7ma/dPCjUOsc5F/onkQhCKsXVf/I6iqGY9FWs/38jamP+xadFW7tyMp0bzanQY0NqKURaMVtFzJysRTztXHDT2yA/pdZGl+x2tIrEovY5uPckHz842bq2nws9zNpJ8J4W3vnu9yGMRwyL5J5ILQShGDHoD105dR1FUqjSoRHpKZrbFgnRZOuwcbOn7Vi8rRWk5R+LPM/3cctINmdhIGkZX70u7Co3xcfDidlYiBlVBRsbd1pnmXqIbvCzYvHQHkiSZppqqisrW5TsZu/AVbGzFR1ZJIf6lBKGYSL6TwsSuH3P52DUAAmsF0PnFxzi48YjpHFkj07B93VLxJhuvTebDs0vQKjoA9KqBLy6tpopLAJ83Gs3CK+sJT4smwMmb16o+jZuts5UjFoqEmn39ChVj4XLRh1LwYZGy2nNRYgs6P/nkEyRJYuzYsdYORRAsYsG4ZVw9GW46vnElmtN7zvH8u8+gsTUOA9RvV5t3V42xUoSWdTUliixFx78/Ms4mXcPb3oMpdYfyXci7fFhvOP6O5a0So1D0Hn++rdkCWbIs8Vjfltja2RZ5LMakpoA/RR518VAiv/4cPnyYRYsW0aBB6VkgSBDOH7psVluh6BUuHbnGjE3v8eK0fhh0BuwcinaevyVdTY3iYvJ1POxcCfGqi5tt9vUoVNQc24Wyo2XPZkxcOZofPv6Z9JQMWvZqxqufla79cMqCEpdcpKamMnDgQL799ls+/vhja4cjCPmiqiq/L/zr7vgydB/emQqB5Ym+GmtKMGRZonyAFwAajQaNpuQWMf4ZvZ+vLq82Hdd3r8bH9V6jVbn6HLhzGlmSUVWVYBd/2niLLw2lncFgYN2c3zn29ylcvVzo/05vqjW+vxdMx4Ft6TiwrRUjNFKQkMTy3/lS4pKLkSNH8uSTT9KpUyeRXAgl1oav/+SbsUtNxxcPX+X5d5/h/MFLaDONNQgaWw0jvxxmrRAtJkWXzvwra83aziRdYUvsQSbXHcKmm/sJT4vGx8GLpwLaYicXffe3ULTmj17CxoV/gcrdHXwPM//wJwTXq2Tt0MyI2SL5V6KSi59++oljx45x+PDhXJ2flZVFVlaW6Tg5ObmwQhOEPNkw789sbft/PcziU5+z5+eDKAaF1k+HEFgzwArRWdZtrXHWx4NkSUN0xm00koZeAdb/hioUnYy0TDYu+Mt0rBgUJAk2LviL0fNftmJkgiWVmOQiMjKSMWPGsHXrVhwcHHJ1n5kzZzJt2rRCjkwQHi0hNpF/Nh1DVVVCujcxLd39IL3egF+wD/3efsoKEVqGqqr8FXOQfXdOYS/b0su/HVVcKmIr26BT9KbzDKqByk6+VoxUsBbd3Z65B6kqZGVk5XC2dSmqhCQW0cqXEpNcHD16lLi4OJo0aWJqMxgM7N69m3nz5pGVlZVtTHrSpEmMHz/edJycnExgYGCRxSwIANfPRzGu7RRS4lMBcPZwokP/1vy+eKtZKXmXF9tbJ0ALWhv5N0vDfwdAQmLf7VN80mAkb9d8gVkXlpt6MFqXb0gn31BrhipYiauXC7VCqnH52DUM+ns7+Cq06tXcypFld2/GR0GvURaVmOSiY8eOnD592qxt6NCh1KpViwkTJuRY7GZvb4+9vX1RhSgIOfpmzBLSktJNxxkpmYSdieC5iU+zecl2kCR6vNKZ/hNKbo/FPasj/zb9t4qKhMT6GzuZWnc4NVwDuZIahYetK3Xcgkv0/idC/kmSxLQN7zBz4Fec2nUWR1dHhnw4gNa9Q6wdmmBBJSa5cHV1pV69emZtzs7OlCtXLlu7IFibTqvDoFdwcLLnxuUY8ymmBoWYsDjm7vmYYdOft2KUBadV9OgUHc42jnePzbu8VVQyDMbubh+Hcvjc3XRMKP1SE9NYPWsD0WGxBNWtRN+3emLvaPyy5+XryextU1EUBVkuvsstiYLO/CsxyYUglAQGg4GF45fz2/zNKIpKo8frUal2ALdv3DF1AWtsZILrF6+q+LxSVIX/XfuVDTd2oaJS2y2YyXWGEVquHgdun0bhfjLVslx9K0YqWENmehZj20wm8uJNUFV2/3yQY9tOMfvvqWhs7vcyF+fEAkRyURDF+1/2EXbu3MncuXOtHYYgmKyb8zsb5v2JcneFwVO7zqHT6vEOvL/CZDl/L8YseMVaIVrExpt7WH9jJ+rdopGLydf55PxyxtV4jtBy9ZCRsZNtGRDYhZ7+YjZIWbP/18NcPxeFYlBMO/qe3n2es/svWjs0oYiIngtBsKBDfx43K9JUDApn9pxn3Z2lnN13EVSVem1q4ejiaL0gLeBowgWzYwWFM0lXcdDY8X7dl+5uOCaJuooyKj05I8f2B2uPSgIxWyT/RHIhCAUQceEGq6avIyE2kXptauPk5ogsS6aeCwBHFwecXBxp3rWR9QItAFVVOXDnNFEZcVR0rEDLcvVx1jgiI6E8kEnZybbIdztDNVKJ7hQVCqh+u9pobDQYDAZQQZIlHJzsqdm8qrVDyxMxWyT/RHIhCPkUHRbLqNBJZKVnoRgUjm87Q8MOdZE0MrJkfFdSFJUXpvazdqj5pqoqsy9+z464I6ZkopNPc56t2IF9t08iqQoqKgoqgyo/IXoqBAAq167I5NXjmD1kPukpGbiXc2XymvF4+XpaOzShiIjkQhDyacuSHWgzskwzQVRV5cT2M3z8+yT2/HwQbZaW1k+F8Fi/VlaONP9OJV1hR5xxy/d7vRR/xx6mi08Lvmw8no0395KpZBHiVY/2FZr816WEUujGlWh+nbeZtOR0mnVpRIcBrU23tXk6lFZPNSc1MQ1XT5cSmXgaey4KWtBpoWBKGJFcCEIeHNt2mvAzEfhV8SEzPQtyeMMMqO7HW0tet0J0lncrK+Eh7YnU96jG6Br9izgiobiIunST15tNQJupRVXhr2U7uXk1hoHvPWs6R5Zl3LxcrRhlwYjZIvknkgtByKVFby3n5zm/I0kSqqrSsEM9DLr7y3jLGpmA6n74ValgxSjzT68YWB6+kZ1xR7CVbOhdsQN13KrkeG6ws18RRycUNz/P+R1tptY0xRpg5YdrGTCht9l0U6FsElVXgpALV06E8fMc47LW6t1+zpM7zvDs+B64lXNFliVqNq/GzD/fK7Fboy+5toH1UTuI1yYTmxXPoqvruJoayStVepvOkZB4terTBLuU/A3VhIJJS0ozK1wGMOgMZGVorRSR5akW+imLRM+FIDyEwWAg+locdg62xITFZT9BAv8qvqy7taTYrzSYG3/HHjKtW/Fg2+xGY2lVvgE3M27j71herLIpANCoQz12rt5vOpY1xsXhnFxL9jRrwTLylVzodDpiYmJIT0/H29sbLy8vS8clCFYVF3mbSd0+JuL8DQAad6pvGg4xUTGttFnSEgtVVTmddIW4zHiCXfyp6hKYY8GdfLdNLN0t/Fv34Z24eSWGtXM2oioqletUZNr6d6wdlkWJmov8y3VykZKSwvfff89PP/3EoUOH0Gq1qKqKJElUrFiRLl268Morr9C8efHb2U4Q8mrmwC+5cTnadHxi+xmadm7A0a2nTAnG8+8+Q/22ta0VYr6pqsoXl35gW+whU9uw4Kd40q8NqyP/Mjv3Cb82RR2eUMyc2XueLct2oioqjw9sS5OOxuXcJUli+Kcv8MIH/chMy8S9vFuJnBHynywxrlFGx0Vy9XVrzpw5BAUFsXTpUjp16sSGDRs4ceIEly5d4sCBA0ydOhW9Xk+XLl3o1q0bly9fLuy4BaFQnf/nslmhmqqoaDN1LL34JR/9NpFvT89h6MfPWTHC/Psn/oxZYgGwJOxXHvdpzotBPajk5EtVl4q8WXMQ7Ss0tVKUQnFwePNxxj82lb+W72Tryl1M6PIhu38+YHaOg5M9Ht7upS+xsLL58+cTFBSEg4MDoaGhHDp06D/PT0xMZOTIkfj5+WFvb0+NGjX4448/iija7HLVc3H48GF2795N3bp1c7w9JCSEYcOGsWDBApYtW8aePXuoXr26RQMVhMK0b8MhFr21guQ7KdRrUwsXD2eSbiWbbpc1Mp6+HgRU8yOgWsmeKXEjPS7b6poAsZnx9K/Uhf6VulgpMqG4WfHBGoD7u/pKsHzqGtr1aWnFqIqQBYZFyMf9V69ezfjx41m4cCGhoaHMnTuXrl27cvHiRSpUyD4bTavV0rlzZypUqMDPP/9MQEAA169fx8PDo2CxF0Cukosff/wxVxdzcHDgtddeK1BAglDUzh24yLQ+n4GqoqpweMsJKlQsT9Lt5LszP1TsHOx44f0+1g41zxRVYU3EVrbEHECS4Am/1gQ6+mZLLAD8HcvncAWhLEtJTMtWZ5SamGq9gIqYtZb/njNnDsOHD2fo0KEALFy4kE2bNrFkyRImTpyY7fwlS5YQHx/P/v37sbW1BSAoKKggYRdYnqvQVqxYwblz57K1Z2ZmsmLFCosEJQhFac+6f5Bl2fQmoOgVYsLjeO/HsTwzpjsDJjzNwuOzqVwn0LqB5sOaiK2svL6JuKx4YjPjWRa2kaj0WDr7tDA77+UqvfFz9LZSlEJxFdKtMZJ8/5u3rJFpVkL3yLG25ORks5+srKwcz9NqtRw9epROnTqZ2mRZplOnThw4cCDH+/z222+0bNmSkSNH4uPjQ7169ZgxY4ZxbxcryfNskSFDhuDs7MyyZct49tn7K7ElJSUxdOhQXnzxRYsGKAiWZjAY+OWLTRz7+xQuXi7Y2duSU9VVnZY1ad+vdfYLlCB/xWZ/M9oa+w8Lm71LJ99QbmXGE+TsL9atEHL00szniY9JZNca45TTkCcaM+qrYVaOquhYcrZIYKD5l5OpU6fywQcfZDv/9u3bGAwGfHx8zNp9fHy4cOFCtvMBrl27xvbt2xk4cCB//PEHV65c4fXXX0en0zF16tQCxZ9f+ZqKOm3aNF544QVOnz6d44sjCMXZN2OW8tuCLaAav4lpNDKSLCPL3F2vQqJp10Z4Vyx5Uy/PJl3hamoUXnbutCzfACmHzklZMm6FXs+9KriXrF0qhcKx46d97FqzDxs7G558pTONHzfOCLF3tGfyT+N483+voaqUvTUsVClfNRPZrgFERkbi5uZmara3ty/YdR+gKAoVKlRg8eLFaDQamjZtyo0bN5g9e3bJSi4GDRpEq1atePrppzlz5gwrV660dFyCUCgy0jLZeDexAGOhmiRBq6dCyEjNICEmkQbt6zJs+vMlrvp9beRfrAjfiISEikpDjxp082vJsrCNZuc94Veye2MEy/rtmy18Pep/xt93CXavPcj0TZNo3q2x6RxHlzKWVBQCNzc3s+TiYcqXL49GoyE2NtasPTY2Fl9f3xzv4+fnh62trdnqwLVr1yYmJgatVoudnV3Bgs+HPNdc3HvDbdGiBf/88w9XrlyhVatWhIeHWzo2QbCItOR01sz+lYVvLmfX6v3ZCqxUFRxdHZj552QWHv+M178YioOT5b5VFIVbWQmsCDcmEfdW2TyZeAlPW1dertKbSk6+VHLy5dWqz9LTv501QxWKmR+mrwOM65+od5fzXjP7N2uGVGzcK+gs6E9e2NnZ0bRpU7Zt22ZqUxSFbdu20bJlzrN0WrduzZUrV1CU+9PnL126hJ+fn1USC8hHz8WDlcOVKlVi//79DBw4kM6dO1s0MEGwhPSUDEaFTuLG5Wg0Ghm9zoCXnweJccmm6XWKQaFlz2ZWjjTvVFVFp+qxk225lZl991KNJHMrK57nKnfn6YqPWyFCoSTISjcvLFRVlYzUDCtFU8xYaRGt8ePHM3jwYJo1a0ZISAhz584lLS3NNHvkxRdfJCAggJkzZwIwYsQI5s2bx5gxY3jjjTe4fPkyM2bMYPTo0QUMPv/ynFxMnToVFxcX07GTkxPr169n6tSp7N6926LBCUJBbf5uOzcuR6MqKnrFWDkdH51InVY1uXDwEg4uDgz96DnaPB1q5UjzZmfcERZcWU26IZOKjj6MrDYAG0mDXr1fHW5QFSo7+1sxSqEkaNmrGdtX7TVby6JlL7HSsjX179+fW7du8f777xMTE0OjRo3YvHmzqcgzIiLCbMuBwMBAtmzZwrhx42jQoAEBAQGMGTOGCRMmWOspIKlqQWfxlhzJycm4u7uTlJSUq7EvoWS6fTOeI5tPIGtkLh+7xsaFf5ltjQ6w4OinBDeohCzLJa624mJyOG+fnGMa/pCR8bBzZVDlHsy/8iMG1fgh8YRva0ZU61/inp9QtDJSM/hs2Dfs/eUfZI1MzxFdefXzF4v97r6F+X5+79qVFr+P7ORQoGsp6ZlEvPJhmfvcyXXPxW+/PXoMTpIkevbsWaCABKEgrpwI460OH5CWlA4Yq9sfTCwkWcLJ1ZGA6r7F/s3zYY4lnDcVbQIoKMRrk6js7MfiZlOJSI+mnJ07wS4VrRypUFwoisLazzay46e92DnY8cyY7rTvbyzsdXRxZMqaNzHoDUiyVOI24St0Zebrt2XlOrno3bu32XG2HSLvtllz0Q5B+Or1/5GRmmk6zkzPwr+aLzevxADg5ObIhxsmlKjq97DUKH6P3k2mQUtzr7o4aOyybY0O4Kixp4KDFxUcxC7FgrkVU9eYCjcBph+8hKyRzZbx1tiUzGRbKJ5ynVw8WIUK4OrqysmTJ6lSpYrFgxKEvLgVdYerJ8Lx9HHn5tWY+2PH3N8TYW3s/0iITcKvik+JmglyNTWSt0/MuTvUobL71lH6BXbF3daFZH0aiqogIdHMqy4VHX0eeT2hbPp1/mbzBgk2Lvyr7OwRkk9iy/X8y9c6F4JQXOz55R9mPD8XvVYPgEcFd2QbGeXujqYaG5kqDSvj4e2Oh7e7NUPNlw1R2zGoBrO9QH69sZ1vmk5mbeRfxGuTqO5amWcrdhK1FcJDZetRVsGgF73MjyS2XM83kVwIJVZaUhqfDPrSlFgAJMYl4eLpTGpCGgAVKnkzcu5Qa4WYZ+n6TM4kXUZBoZ57ddIMmdk2GctSdHjZuTOy+gArRSmUNB0HtmPT4q2mdSwAOg0U650IhUckF0KJcyc6gdjwOLIydWgzdWa32dhq6DSwLc26NUbWyNRrUwtH54JVexeVW1kJTDo1h1tZxjUrPGxd6ezThsPxZ0znyMjUda+KjSzGx4XcG/HFEGxsNez4aR+2djY8O64HT7zc0dphlQDS3Z+CXqPsyXdyId3dn0AQitL6r/5gwfhlqIqKrJGyFRYb9AoVawYQ2r2JFaPMn/9d/Zk7WUmm42RdGmeTLvFMxY5siNqOgkpN18q8XWuI9YIUii2dVseiN1ewdeUuZFmm1+tdeXFaPzQaDXb2toz8chgjvyw7m45ZhBgWybdcJxeenp5myURqaiqNGzfONm0pPj7ectEJwgMuH7vGN2OXmo4Vg2r6nbyXZNRtXbNEfSPTKjokwFa25Xr6TRQeKEZFISojlpkNxzGocg/0qgFHTckpRhWK1v8m/sBv32wxJdurZvyCg7MDz0162sqRCSXBtm3b+OKLLzh//jxg3Jtk7NixZlu/50Wuk4u5c+fm6wEEoaASbyWRGJfMuQOXst2mqirDZjyHo4sjnj4etO7dHBvb4j/al2XQ8uWlley7cxyAx7yb4e9YgdjMO6YEQ0bG39EbAFvZBlsxiin8h52r92VbHmDHT3tFclEQZaTn4ptvvmHMmDH06dOHMWPGAHDw4EG6d+/OF198wciRI/N8zVy/Ww0ePDjPFxeEglo+dTXff/QzAA4uOX9rb9CuLnVb1SzKsApsSdgv7L9zwnS8+9ZROniH4G7rQoIuGQAnGwdGVBNFm0Lu2NrZZm+zz94m5IEFt1wvzmbMmMEXX3zBqFGjTG2jR4+mdevWzJgxo3CTi39LSUkxy5JlWTbbc0QQCurAxiOmxAIgMy0LjY0Gg96AxlaDQWfg8efbUKdlDStGmT+H48+YLYSlonI+5SpfN3mPYwnnUFFp5FEbDztXK0YplCTPjuthNmwI8OzYJ60UjVCSJCYm0q1bt2ztXbp0yff+JLlOLk6cOMG7777LH3/8AYC/vz/p6emm2yVJ4sCBAzRvLja8EQom6XYyKfGpnN5zzpREAKa5+YM/7I9BZ6BS7Yo81q9lsS8sVlWVv2P3syVmL6DSyacVThoH7jxwjgQ4aRxxtXXmsQrib0j4b/ExCeiy9HgHljPVvfV+4wnsnez5+3tjQWePVzublvgW8ic/W6bndI3irlevXqxfv563337brP3XX3+lR48e+bpmrpOLr7/+mjZt2pi1rVy5koCAAFRVZcmSJXz11VesXLkyX4EIgqqq/G/C96z5zLiPjZOro2kxrAd1G9qB8gHlijq8fPsrdi8Lr/5kOr56bTXtvVsQmRGDfHeamoJK/0pPWCtEoYTQZmqZOegr9v7yDwDVm1Th498n4uVrLLjv/nJHupegguZir4zUXNSpU4fp06ezc+dOWrY0rtp68OBB9u3bx5tvvslXX31lOje327jnOrnYv3+/2XgMQIsWLUzLfzs6OtKvX7/cXk4Qstm+aq8psQDISMtEkiUkFWSNjF5noO+bPUtUYgGw6eaubG0XU64yte7r7Ig7hIRER58WNPQoWXUjQtFb8cEa9m04ZDq+ejKcT4fM45PNU6wYlVDSfffdd3h6enLu3DnOnTtnavfw8OC7774zHUuSZPnk4vr163h7e5uOP/zwQ8qXL2869vPzIzY2NreXEwSThNhEku+kcGrXWbNhEFVRUVEZMLE3uiw9tUOr065v8d8LITI9hq2x+9ApOkK8GmAg+zLLBtVAE886NPGsY4UIhZLq5K5zZqtsKgaFM3suWDGiUq6MFHSGhYVZ/Jq5Ti4cHBy4fv06FSsat3EeN26c2e2RkZE4OTlZNjqhVFNVlW/fWcnazzcCYO9kh2owHwaRZIkBE3rj7O5sjRDzLCw1komnP0evGJCAzTF7aOHViJsZcWbndajQwjoBCiWah7cbskY225zPtZwopC8skmr8Keg1yqJcJxeNGzdmw4YNtG6dc4HQL7/8QuPGjS0WmFD67fhpnymxANBmaEGSkDUykixh0Bl4YUrfEpNYAKyN2oJe0ZvtB3I26RL9A7ubCjo7+rSib6CorxDy7oWpfTm27TQGnR6QMBgMvDr7RWuHJZQCUVFR/Pbbb0RERKDVas1umzNnTp6vl+vk4vXXX2fAgAEEBQUxYsQIU4WywWDgm2++4euvv2bVqlV5DkAoe+Iib3PnZgIndpzBxlaD/t4wiGr8n95jnkBVVBo8Vpe2z4RaN9hH0Ck69t8+TrI+lZquwSTrUrNtNJauZNI/sDsDKolpgULuGAwGjmw5SdKtZGqGVKNybWOPcY2mVVlw9FO2LN2BLktHm2dCadBODK0VmjJS0Llt2zZ69epFlSpVuHDhAvXq1SM8PBxVVWnSJH9bKeQ6uXj22WcZP348b7zxBu+++66pkPPatWukpqYyfvx4+vTpk68ghLJj2fs/8cPH6wDQ2GhQlH8Ng0jwwvt9cfUs/l29WQYtk898wZXUCCQkVFSaetZD4v77iYxMHbdqxX66rFB86LQ63ntyJse3nQaMxcxvLx1Jp0HGXUwr1Qpg+KxB1gyx7CgjNReTJk3irbfeYtq0abi6urJu3ToqVKjAwIEDc1z/IjfkR59y36xZs9i/fz9DhgzBz88PPz8/hgwZwr59+5g9e3a+AhDKjsObj5sSCzCuWaEqKrIsYWNr3OVz0JSSkViAsZ7iamokgGlBrGMJZ2lV7n6mH+QcwNgaQ6wRnlBCbVr8Nye2398JVzEofP7yAtJTMqwYlVCanT9/nhdfNA6v2djYkJGRgYuLCx9++CGzZs3K1zXzvEJnixYtaNFCFKMJuXfjSjRRF29y5K+TaGxkDP9au+KJlzvi4OxAvTa1aPN08R4GiUqPJiojBh+H8tzKikeWZAzq/dkgKir9Kz3Jq1UHoFN0eNq5i14LIU9uXI5GYyObhgsB9Fo9t6LumIZHhCJSRoZFnJ2dTXUWfn5+XL16lbp16wJw+/btfF0zV8lFREQElSpVyvVFb9y4QUBAQL4CEkqXDV//yTdjl2bbUOlB/d5+Cv+qvkUYVf5svLmNZeH3e14autcxSywAHGQ7vO09cRC7lwr5FFgzAIPe/PfK1t6WCoEla32XUqGMJBctWrRg79691K5dm+7du/Pmm29y+vRpfvnll3x3JuRqWKR58+a8+uqrHD58+KHnJCUl8e2331KvXj3WrVv30POEsiPiwg3mj12SPbGQQHN3GOTZcT1KRGJxIyPWLLEAOJF4jvru9/c1sZVseLPmSyKxEAqk+/CONOvayHSssZF5Z9lIHF0crReUUKrNmTOH0FBjr/G0adPo2LEjq1evJigoyGwRrbzIVc/FuXPnmD59Op07d8bBwYGmTZvi7++Pg4MDCQkJnDt3jrNnz9KkSRM+/fRTunfvnq9ghNIh8uINzuy9QMT5qByz9g4D2uBfxYfqTavQ6qniu49GlkHL9fQb2Mo2xGZm7xqUJGjh1ZDBQU+TrEulsnMAXnbuVohUKIm0WTrWzfmda6ev41vZm37vPIWrpws2tjZ8/PskTuw4S9KtZGo0q0JANT9rh1s2lZGei3sTNMA4RLJw4cICXzNXyUW5cuWYM2cO06dPZ9OmTezdu5fr16+TkZFB+fLlGThwIF27dqVevXoFDkgo2fZtOMRH/eZk69Z9UOcXH6P5A9/MiqObGbF8cPYr7mgTAKjqnPOwoJ+jN1Vdcj9kKAgAiqLw/lOzOPb3KVNNzt71//DNkVk4ujgiyzJNOta3cpRCWZktUhjyVNDp6OhInz59xJRTIUcGg4FPB8/DYMieWEiyhKqoPP58G5p1aWiF6PJm7qWlJGiTTMdhaZFUd6nM5dTrprbHvENo5CHWGBDy7uLhqxz96yRwf6ZR1KVo9qz7hy6D21sxMqGs8PT0zHWxeXx8fJ6vn+fZIoLwbzHhcfy9cjcp8anZpstJskSDdnVo1as5flV9aNGjabGdPXEnK4FkfSp+DhUIS4tC4f6sFgUVG8mWj+qNJzL9JhXsy9PIo3axfS5C8ZaWlJ6tTZIlUhPTrBCN8DClefnvuXPnFur1RXIhFMj1c5G80fJdstK1mAYXH1xFCmj8eH2eGVt8V6dUVZVlYWv5I2YHAM4aJ1xsnEjRp5m+VcrIeNt7UsetGnXcqlkzXKEUqN4kGCc3RzJSM40bkUnGHScbtq9r7dBKhNs34znzz/nCf6BSXHMxePBgAPR6PatWraJr1674+PhY7Pp5WkRLEP5t+dTVZKVrUQwKiiH7X1G91rXo82YPK0SWe3tvHzYlFgDphgx0ig4JCRkZCQlnG0f6V+ppxSiF0sS9vBvTf5+Ee3k3AByc7Jm4cjRVGwZZN7ASYM+6g7xQZSTTnhELN1qCjY0Nr732GpmZmZa9rkWvJpQJKQmpfP/hz0RdusmVE2FmOzQC2NhqeHfVOFw8nGjQrg4aG42VIn24LIOW6Mw4nDWOXE4JQyNpTGtWqKhkKZm8U2sEkenR2Mm2tC7fFE8xE0TII22mlnmjl7Djx73IGpmn3+jOi9P6Icsy9drUZvXNxaQmpOHs4YRGU/z+Toqb5PgUZg76Cr1Wb+1QSpWQkBCOHz9O5cqVLXbNPCcXaWlpODuXnF0qBcvKyshiXLv3ibxww5hU/KvkQLaRqR1ao1hvOBaWFsmMc/NI1CUDEOwUiKIq2c6r5VqV5l4Nijo8oRRZMH4Zm5dsNw59AD9MX4ejqyP933kKAFmWcSvnas0QS5SbV2LQZemK7PEkLFBzYZFICtfrr7/Om2++SVRUFE2bNs32Gd+gQd7fB/OcXPj4+NCvXz+GDRtGmzZt8vyAQsl29K9TXD8beb/hX394/lV8mLjyjaINKg9UVeXT8wtI1qWY2sLSI3GzcSFFn2ZazntAYE9cbUUSLRTMrjUHTInFPbt/PmBKLoS8KV+xXLaaLqHgBgwYAMDo0aNNbZIkoaoqkiTlOAPwUfKcXHz//fcsW7aMxx9/nKCgIIYNG8aLL76Iv79/nh9cKBkMegPLp65my7KdaDO1OZ7z2pwhNO3cgIo1/LCxLX6jbTGZt0jUJuFm48Ltu2tX3CMjU8+9JtVcg0jWpVLLtSpNvcQaA0LB2drbmjdIYOdgm/PJwiOV9/fipenP8927q5BlGbJ3OFpWGVnnIiwszOLXzPOnQO/evenduze3bt1i5cqVLFu2jClTptC1a1eGDRtGr169sLEpfh8uQv4tn7qanz7ZYLaMtymrlSXsHe1o16cF3hWL394HqqqyPHwNf94t2LSTbJGRzaaZApS396KnfydrhCiUYn3f7Mmit1YYD+5+435mTPGdOVVcKIpC2OkIMlIzqdqwstnS5wMmPk2dVjU5vuc02yevL9xASvFskQdZstbinnzPFvH29mb8+PGcOnWKOXPm8Pfff9OnTx/8/f15//33SU/PPo9bKFmyMrK4cSWav5bvzLY/iKwx/uqUD/Bi+qZ3i2ViAfBP/DFTYgGgVXVo7n6R0EjGmSDudq4isRAKRFVVzh24yJ51B4m6HG1qf3ZcD8Ytfo2G7evStFMDpq1/h7bPil2l/4s2S8fkHjN5rfHbjGs7hRervcGVE+bfrBu0q8PTbzxhpQhLp5UrV9K6dWv8/f25ft24WODcuXP59ddf83W9fHcxxMbGsnz5cpYtW8b169fp06cPL730ElFRUcyaNYuDBw/y119/5ffygpXtWXeQWYO/vrt+RXZB9QL5+uAMbO2KXxdvuj6DiylXkSU520wQAAMGhgc/z21tPM42TnSo0Ao3WxcrRiyUZKqqMnvofLau2AUYF8Mav/g1ug17HEmS6P5yR7q/3NHKUZYcq2dt4Mjd1UsBku+k8GHfz1lxeV7RB1NGei4WLFjA+++/z9ixY5k+fbqpxsLDw4O5c+fy1FN5rxHKc3Lxyy+/sHTpUrZs2UKdOnV4/fXXGTRoEB4eHqZzWrVqRe3atfMcjFA83Lwaw/Tn5v7n/iC9Xu9WLBOLmMxbTDv7OfHaRABcbVxynAnSvFxDMbVUsIjdPx80JRYAqqIy97VFNH+iMeX8PK0YWcl05XiYWU+pYlCIvhpLVkYW9o5Fu+NwaV6h80Fff/013377Lb179+aTTz4xtTdr1oy33norX9fMc3IxdOhQBgwYwL59+2jePOcdLf39/XnvvffyFZBgPekpGRz8/Sgnd57NMbGoUKk87t5u9Hi1S7H9Jrb46vckapNNx6n6NBw1DqQbMky1Fn0r9hSJhWAxEeei0NhozP5mDHqF6KsxIrnIh/IBXmg0Mgb93S8FEji7OWHnYGfdwEqxsLAwGjdunK3d3t6etLT8LUmf5+QiOjoaJyen/zzH0dGRqVOn5isgwToS4pIY0+o9oq/FPvSc0fNfJvTJpkUYVe5cSbnGldQw3G3diEi/YVasqaLiauPMoMrPkKBNppprEI08xBLLguX4VfXJloxLsoRPUAUrRVSyPf/es+z/9TB3biYYNzxUVcYufMU6+/iUkWGR4OBgTpw4ka2wc/PmzfkehchzcqHX60lOTs7WLkkS9vb22NmJ7LIkWv7+amKv38rWrrHVoOgV6rWtRbNiuE365pjtLA//CQkJFRU7ydFsNoiMjJ+jLx192lo5UqG06vBca3at2c/B34+a2l6d/WKxLXIuLlIT07h26jouHs4E169kSh7K+Xmy6MRn7PhpHxkpGTTp3IAaTaua3ffk5ZscOXOl8IMsI8nF+PHjGTlyJJmZmaiqyqFDh/jxxx+ZOXMm//vf//J1zTwnFx4eHv+ZQVasWJEhQ4YwdepU4zxkodhSVZU//7eNg5uOcuGfy9mW8QboNuxxAmv40/P1rsVuGe9kXQorwlcD97et1iqZaCQ7U52Fs40Tg4P6Wi1GofRQVZU/vv2bvesPYe9oS+83utOoQz00Gg3TNrzD4c0nuHMjnqqNg6nZrOqjL1iGnTtwkfeenGnaBbb10yFMWT3e9B7jVs6Vp0Z2y/G+K/88wldrdqPoLLsXRln28ssv4+joyOTJk0lPT+f555/H39+fL7/80rTAVl7lOblYtmwZ7733HkOGDCEkJASAQ4cOsXz5ciZPnsytW7f47LPPsLe35913381XUELRWPHBGr7/6GfjmhVkn2rqV9WHsQtesVJ0OdMqWjbHbCcu8xYOGsdscWtkmQ7eLQh2DkKWJJp41sfNViyvLBTcqhm/sGzKT4Bx2GP/b0f4dOv7NOpQD1mWCe3exMoRlgyKovDBM7NJT76/XMH+DYfY8PWfPDvuvzc5vJ2YytdrdgOgFkGPQFkp6AQYOHAgAwcOJD09ndTUVCpUKNiwXp6Ti+XLl/P555/Tr18/U1vPnj2pX78+ixYtYtu2bVSqVInp06eL5KIYy8zI4qdZGwCyrWEB4OjqwKTvxxRxVP9Nr+j56NznXE0NR0bGgME0HHKPQTVQ3bUK7bxbWjFSoTRaM/v+fH9VMS4g98uXm2jUoZ4Voyp5km4lkxCbZNYmyTKXj18zHd9JSuOP/edJz9TSol4QDasbV4COjU8p2lGGMrJC58cff8zAgQMJDg7GycnpkXWVuZHncYv9+/fnWFXauHFjDhw4AECbNm2IiIgocHCC5V09Gc6QWqPp6Twox50F67aqybQN77Ds4lfFrmv3eOJprqSGoaJi4P4Ophrp/q9xm/KhtClffDdNE0omVVXRZppvmKUqKplpWVaKqORy8XTOviw64F2xPAAxd1J4/v2VzFu7h6W/H2L4jJ/4Y/85AAIqeGBrI4bbLW3t2rVUq1aNVq1a8c0333D79u0CXzPP/0qBgYF899132dq/++47AgMDAbhz5w6enmIKVnGTlpzOhC4fEX314TNCugzpQKtezfHwLh5TNcPTIvj0wpdMOjWNzdHbcjxnaNDzvFPzDabXe4/Xqw5DlsSbj2BZkiTRslcz08q097TuHWKliEouWztbRn8zHKS7K/1K4BvkTd+3egKwbNMhklIzUFQVg6KgArNWbENVVTxcHJk2/AlsNEX0N65a6KeYO3nyJKdOnaJ9+/Z89tln+Pv78+STT7Jq1ap8r7ad52GRzz77jL59+/Lnn3+a1rk4cuQIFy5c4Oeffwbg8OHD9O/fP18BCZanqiqndp3j8ObjJN3KPtMHjBssPTfxaZ546fEiju7hYjPjmHZuFnpFj4KClEP3oo2koaFHXcrbi8p8wXJSElK5FXkHn8rlcXY37o775v9GoKoqB347go2tDX3f7Emv17taOdLiLexMBDFhcQTWCqBidT9Te9ch7blp0HFg8wmcPZwY9W4f3LyMtVF3klIx/Gsn2fQsHVk6PQ52tnQOqUn9qv6cunCNrqsKdz2lslRzUbduXWbMmMGMGTPYt28fq1atYuzYsbz22ms5zhB9lDwnF7169eLixYssWrSIixcvAvDEE0+wYcMGgoKCABgxYkSeAxEKh6qqzH1tMX98+3eOt0uSxOtzh9BrZLdiM7tHURV0io59t/8xJRYAqqQiqaCRbNGreuxle0ZVe0kkFoJF/fG/bXz1+mIMegVbe1veWTaS9v1b4+zmxNS1b6EoCpIkWWfdhRJkyXur+HGmcWMx4/vMUHrf3Q9k0Yb9fLfvDBp3W1B1nPzsZ1Z+MIiKFTyoE+zLruNXTQWbsiwRWMEDhwdWBPYt54pT/eAif05lhbOzM46OjtjZ2ZGSkpKva+QpudDpdHTr1o2FCxcyc+bMfD1gfs2cOZNffvmFCxcu4OjoSKtWrZg1axY1a9Ys0jhKmuPbTj80sZA1Ml6+Hjw+sG2xSSw2x2zjp4h16FQd7jZu2W6XJPiw7js427jgYeeOnVz8liAXSq4rJ8KY++oiU5GzLkvHJy98Tc2QavgF+wAUm7+V4uzU7nOmxAKMX3Lmj11C0y4N8A6uwNKNhwBMPRQZWTpW/32cN5/vwKBuzTgXFsPOY1cBKOfmxKxRPYv+SUCZWecCjKt0rlq1ilWrVnHx4kUee+wxpk2bRp8+ffJ1vTwlF7a2tpw6dSpfD1RQu3btYuTIkTRv3hy9Xs+7775Lly5dOHfuHM7OzlaJqTiLuhzN0sk/cuFQzgvNVG9ShVoh1Rg45X53pLUdSzjJyus/mY6T9SmoqKYZITIy/o6+VHIORCMVrzU3hNLh0uGr2WZPGfQGrhwLMyUXwqOFn4k0bTFvokLE+Ru4+Hmi5DBDLeVucaytjYZPR/UiIjaR9Ewtwf5eZr0WRcoCwyIlIblo0aIFhw4domHDhgwdOpTnnnuOgICAAl0zz8MigwYN4rvvvjPb3KQobN682ex42bJlVKhQgaNHj9KuXbsijaW4uxOdwOiW75KWlJ7jwlgA7ywfRVDdwCKOLDtFVbiYcplUfSpHEk6gQcZwbxjk7l+lt305UvRpVHOpwqtVhojEQig0HhVyLmR+WLuQM1cf9xw/VL0qeuHh6kiQnxeRsQmmnguDotK8TiXTeZIkUdlXTAooKh07dmTp0qV4e3sDUL58+QJfM1/Lfy9ZsoS///6bpk2bZus1mDNnToGDyo2kJOM8aS8vr4eek5WVRVbW/ali+SlKKWkSYhNZ98XvpCamoSo5p8wvzXi+WCQWekXP3MvzOZl4+m6LhEr2ceyP6k3GxUb0TgmFL/TJJjTsUJdTO8+hsZHR6w20eTqEem1qWTu0EiW1ggva4HLYhd1BxdiJkVnHj2RHWyRJ4ouxvRk3dwPh0fFIEgx5MoTurYrhTtplYFgkMTGRhIQE2rZtS0JCAgCenp4MGDCAjz/+2GzH87zIc3Jx5swZmjQxrkR36dIls9uKqsBJURTGjh1L69atqVfv4QvYzJw5k2nTphVJTMXBjzPXs2Tyqof+Mr/4QV9aPRVC1YZBRRrXw+yI2/1AYmHsqVAx7gei3v2/x73bicRCKBSXjl7lt/lb0GZpadWrOe37t0Zjo2Hmn++x+bvt3LgSQ+U6FekypL0o3nyIHzcfYeEv+8nSG2hc1Y+ZY57Cw8URg6KS3rY62mBv5NRMFA8n9H7u6O9u8Faxggdrpg8mISUDJ3tbHHJY96JYKOXJRXx8PC1btuTGjRsMHDjQtEnZuXPnWLZsGdu2bWP//v35WlpCUnNanrGYGzFiBH/++Sd79+6lYsWKDz0vp56LwMBAkpKScHPLXixYkh3bdpoJnT/M8TaNjUz5gHJ8d+4L7B3tizgyc8m6ZDZF/0mCNoHbWQlcSwvHoN7fUVIFQr2aY1AVarlVp4vP42LdCsHizv9zmXHtphh791QVRVEZMWcIz4x90tqhlRibdp3mg2Vb7zcoKjV8PPnh02HE3Emm33vLydLqUVQVjSzh7uLIzzOH4OrkYJHHT05Oxt3dvVDez+9du8p7M9A4FCxeQ2Ym16a/Wyw/d8aOHcu2bdv4+++/8fExrymKiYmhS5cudOzYkS+++CLP185zz8U9V65c4erVq7Rr1w5HR0dUVS2S7H7UqFH8/vvv7N69+z8TCzDuRW9vb90P08KWnpLBmtm/cnDjEeP2xP8aCrGxs6F6kypMWDHK6olFmj6ND85+RII2ERUVRc2e1NtKNgyvMhgHjWXegAQhJ2tm/4pqUFAe+HtZMW2NSC5yoCgq4dHxKKpKsL8XmruzZb7/aQ8oKsh33/dliUu3jEWYvuXcmP/2s3y8ZCs3bydRJaAcU1/qZrHEoqiU9nUuNmzYwKJFi7IlFgC+vr58+umnvPbaa0WTXNy5c4d+/fqxY8cOJEni8uXLVKlShZdeeglPT08+//zzPAeRG6qq8sYbb7B+/Xp27txJcLCY46zN1DK+3RTCzkSiKmqOe4QsPvkZgTULVvVrCTpFx/47B4nXJmTbbIy7dRYSEi8FvygSC6HQpSWlmyUWAJlpmUX2JamkSE7LZMwX6zlzNRqAGoHefP3Ws3i5OaFNzcy+xrOqkpmaiZODHfWr+rN6+uCiD1rItejoaOrWrfvQ2+vVq0dMTEy+rp3n/uZx48Zha2tLRESE2eYm/fv3zzajw5JGjhzJ999/z6pVq3B1dSUmJoaYmBgyMjIK7TGLM71Oz+YlO7h68jqKQTFLLO4tUdxzRBerJxZXUq4w/sQ7vHzkNdZGrjO7TZKMaUX/wGd4KfhFptf/gDberawTqFCmNO9mvj+SrJFp0rmhSCz+Zc6qnZwLu//hcvXGbWYuNw6FhPiXB1Rj7wWAquJyPR7PcsVjarvwaOXLlyc8PPyht4eFhf3npIn/kueei7/++ostW7ZkG5KoXr06169fz1cQubFgwQIA2rdvb9a+dOlShgwZUmiPWxyd2n2OD56ZTUp8ao63t+zZjPb9W/FYP+t+UCfrkpl98QuyFGPdy73/f4+EhIutMx19OuCocbRGiEIZoM3SEXnhBvaOdgRU90OSJJ4d9yS3Im/z67w/URSV+u1qM2H5KGuHajURMQnsOxmGjUamQ7PqlPcwFlGfvHLTrIfHoKicumLsxRj9fj8u9JzBBUlBtdXgeCuFz2YNKV0JWikv6OzatSvvvfceW7duxc7Ozuy2rKwspkyZQrdu3fJ17TwnF2lpaTluxxofH1+o9Q0lsO60UKQkpDKl1ydkpGZmu02SJOwcbBn19TDKB1hvSezI9EguplwkNjOOTCV7nBpJg0E14GnnyejqI0ViIRSaqMvRTOz6EbHhtwAIebIJU9e+iZ2DHa/PHcrwTweh1xlwdC67Q3HHLkQy+vNf0OkVQGXR+v0smfIclXw9qeDpws1biabOCUkCbw8XABydHfh2y/uc3HmW9OQMareobtX3ncJQ2msuPvzwQ5o1a0b16tUZOXIktWrVQlVVzp8/zzfffENWVhYrV67M17XznFy0bduWFStW8NFHHwHGDzRFUfj000/p0KFDvoIQcmfPuoP88d020pNzHgpy8XRm8k/jrPoH/s+df1h8bfHdgk3jxNJ/ezl4KA09GuCkcSpd33KEYmfGc19wK/KO6fjwn8dZNf0Xhnw0ADDu0GlrrdUfi4lPlm9Dr78/tJqWkcW8NXv4dHQvnqpfhWNnI0xFm6qq0rtukOm+NrY2NO3c0BphCxZQsWJFDhw4wOuvv86kSZNMvwOSJNG5c2fmzZtn2u08r/KcXHz66ad07NiRI0eOoNVqeeeddzh79izx8fHs27cvX0EIj7bui99Z+OZyJDnnD+NXZ7/IM+OetOq+BwbVwJLwJaaNxv5NRsbb3pumnk2w15TuWTyC9SmKwpUT4WYzqFRF5dzBS/9xr9JJVVXWbT/J1kOXsLfV0LdTY9o2qgJAbHyK2XLcBkXl5m3jIoXbPtuI+8lwsip5gQR2kfFsOxtHn35trPI8rKIY9zxYQnBwMH/++ScJCQlcvnwZgGrVquW71uKePCcX9erV49KlS8ybNw9XV1dSU1N55plnGDlyJH5+fo++gJAnqqoSEx7Hksk/Go8feKOUJAlJlgio7seTr3ayWmKxM247f8VuJsugRatoH4gPJFXF18EPb3tvKjhUoLd/L5FYCEVClmXcvFxIun1/V0dZI1M+oGBvmiXRst8PsWCd8cufBBw8c53Px/ambaMq1KxUgdNXb5qW4pZlidp391G5HRWPlJiOQ2K66Vp3bOOLPH6rKeU1Fw/y9PQkJCTEYtfL1zoX7u7uvPfeexYLQsiZTqtj5sAv2bPunxxv9w4sR7dhj/PMmO44ulinbmH/7X18H7EC4O4WyeY9K5IEbbxb8aSfWD9AKHqjvn6JGc9/iayRUVUVJzdHBk3J3y6PJYGqqiSnZaKRZVyc7ifxP2w+ev8cjH+lq7ceo22jKrw/vCuvz1pLzB1jElYj0Js3+hn3a6rTqgYx4XGmPYo0NjK1W9QosucjlFz5Si4SExM5dOgQcXFxKIp5F/iLL75okcAEWD3rV/b+cuihtz87tofVFv25nHKZ2KwYtsfd385dkkBWVZQHEow6bnXo4tPFGiEKZUhmehbLpvzEmb3nKefvxZAP+xNcvzLt+7emQmVvDv1xDAcnezoOaod3xdJVdHhPanoWk+Zv5J+zEQB0bFadqa90w8HOFp3eYHauCmh1DyzFPWMI58NjsdHI1A7ywcbGuDngiC+GEHnhBhcPG7c/r1S7ImMWDC+6J2Vlpb2gszDlObnYuHEjAwcOJDU1FTc3N7OCPEmSRHJhAUm3k1n63o/sXLs/51kyEjw1shu9Rz9R9MEBqyN+ZGvclhxvkyRwkux4rdoonDROBDsHi+W7hUKlqiofPP0px7edRlFUZE0Yx/4+xeKTn+NXxYc6LWpQpwx82561YhuHz0eajnccvUKFn/cx7vn2dGxegz/2nTOrrejY/P5rcnjTMXav3Y/GVgPDO1O/rXGPCTcvV77cP52Ic1EoikpQ3UA0NmVoV+IyNCxiaXlOLt58802GDRvGjBkzcpySKhRMVkYW4x97n6hL0Tlul+7s7sRPNxbj4GSduoUrqZcfmljc075CB+q71y+iiISy7ubVGI5uPWU6VgwK2kwdf6/czQtT+1oxssJxOzGN7UcuodMZaN2wCkH+xhqSQ2evm61JoagqB8+EA/DOC48D8PfhS9hqZJ7r2oR+nRoB8Me3f/PFq4uQZAlJkti+ai+fbJ5Mk04NANBoNATXr1x0T1AoFfKcXNy4cYPRo0eLxKIQJMensHb2b0Scv5HtNlkjoygKI78aVuSJhUE18NuNX9h3ew9aVZfjOV525bCT7QjxCqWHX68ijU8o2/RafbY2SZLQaXP+XS3JImMTGPbRjySnZSIh8c26vXwx/hlC6lTC1dmBhJT709QlCdzurt/hYG/L+y935f2Xu2a75soP1wLGYnEVFUmW+OmT9abkoiwTwyL5l+f+6q5du3LkyJHCiKVMi7x4g5fqjOOnWRtyvL1Z10Z8vmManV94rGgDA367sZ4/Y34nWZ9EhiE9x3NGVB3Jx/Vm0su/txgGEYpUxRr+VKodgMbG+HsnScZpqK17W67yvbj45ud9pKZnoarGngm9QeWTZca6pxHPtkYCNLKE5m4vxPCnH71K778X5FMVlbSHrKVT5qgW+smH+fPnExQUhIODA6GhoRw69PD6uwf99NNPSJJE79698/fAFpLnnosnn3ySt99+m3PnzlG/fn1sbc0XoOnVS3xrzY8vX/+W5Dsp2dplWcbO0ZYxC4ZTIbB8kcWjqArHEg4Tm3mTXbe2m9oluLvx2P1amx5+PQl2rlJksQll27kDFwk/E4lPkDdNOjVAY6Phky1T+HTwPM7/cxkPbzde/3IoNZtXs3ao+Xbo7HW+Xr2H+OR0GtcM4O0XHsfdxZHo20mmKaNgrDe5lWB83+jYvAbz3unD1n8uIssSPdrUpV7VRy8PENK9MbvWHDANw0oStHiyaeE8MSFXVq9ezfjx41m4cCGhoaHMnTuXrl27cvHiRSpUqPDQ+4WHh/PWW2/Rtm3bIow2Z5Kax3W1/2stBUmSMBgMD73d2pKTk3F3dycpKQk3NzdrhwMY3yg/eeEroq/F5Xh7QA0/3l4ykrqtahZZTKqqsiTsGw4nHERGRq+aJxMAFex96en/ND4OvgQ5BxVZbELZtnLaWlZMW2M67vRCO95ZNqpUrfR6ITyWoR+uQlFVVNW47kS9Kn58+15/Zq/czi87T5lqKzSyRO1gX5ZMeS7fj5eWnM6sF77mwO9HkCWJ7q90ZtRXw4p94WZhvp/fu3aN8TPQ2BdsaXhDViaX5rybpzhDQ0Np3rw58+bNA4w9cYGBgbzxxhtMnDgx58cxGGjXrh3Dhg1jz549JCYmsmHDhgLFXhB57rn499RTIf/iYxKY2O1jstK02W7T2Mg07dyQ6ZveLdKYMgzpXEg+x+GEgwAodyeWqv9KLrr5die0XIsijU0o266fizRLLAD+Xrmb9v1aEVpCv2mH34zn2o3b+Hm7UzvIuHDV1kMXgXvrxoCiqJy6cpOb/2fvPOOjKLc4/MzsZtML6YUQSui9914VELyIWCkKioKCCAJKLyKKdBRQBBURRBFUlN577xBaOqT3vrsz98MmS5YEhZBkU+a5v1wz75Q9M1lm/nPeU2KSePeFdlwLiuTaXUOnUlcnO2aM+O/GUjqtjrWf/My+jUewsLTghQ/60vedHgiCgK2DDbO2TSQrU4soCqgtClShoExSmDEXSUlJJuOWlpb59uPKysri7NmzTJ482TgmiiLdunXj+PHjj/ycWbNm4e7uzptvvsnhw4efzuhCQPkWmYmAM3dY/dEPpCfnbewF4OjmyOhlbxabPXpZz88hazkWeyD/YlhIVNC4Ya92oKN7F9q5dig22xQUgHy9e4IgcO9OpBmseXp+2XOeL9fvN07Jv9itER++2hmB/L0wAmBnY8m3n7xEQHAkWp1ETT93rC3/uzfKqvE/sG3FDmOF32Wjv0VjraHXsAf9oDSPcRyFgvNwj47p06czY8aMPNvFxMSg1+vx8PAwGffw8ODGjRv5HvvIkSOsWbOGCxcuFJa5T81jR949++yzJCYmGpc/++wzEhISjMuxsbHUqVOnUI0rq1w/eYsxbT/h8qHr+a4fMK4Pa64uwquqR77ri4I9kds5Fnsg33WCYPgZ7T+GT+rMUISFglmoWMPrYc2LLMtUqu1jHoOegrCoBL78ab9JrN8vey5w4kowPVvXQhAExOypHlEUaFyzIl6uBpe6WiVSt6oXjWr4PJawANj1/QGT1gEAu384UBinUrYpxIDO0NBQEhMTjT+5PRNPQ3JyMq+//jrffPMNrq7FF5f3Xzy252Lnzp1kZmYalz/99FNefPFFnJycANDpdAQEBBS6gWWNiKAolr+3BilXF8IcRJWIV1UPhswcVCwtoCVZYm/kdq4knuNexn3juCAAsmycChEQeNH3NSraKLnuCsWHLMukJaVh42DonluxhjcjFwxh5fjvjTfs/u8/U6JTJmVZZuOu8+w4fh21SmRgt0b0al2bkIh4Ho52EwWBu+GxtK5fmRUfvcDyzYeJTUyjaa2KfPByp6eKK8lv37IUp1JkFGIRLQcHh8eKuXB1dUWlUhEZaeqRi4yMxNPTM8/2d+7cISgoiL59+xrHcsIX1Go1AQEBVKtW7SlOoGA8trh4+EH4hHGgCsDZ3ReZ2m8+2oz88+97v9Wt2IQFwNbwDeyP+gfApGQ3GASGlWjFu9XG42rpRgVN+Wv2pGA+Lh64ypyXFpEQlYi9sx0Tvx9Ny95NGfBBH5r2aEjwtTA8K7uV+IyQ3A3DAC7fMYj4Wn55vZKSLFPR3RGAxjUrsmZKwYM0H6bP293Z9MU2kwdl77e6F9rxFQoPjUZD06ZN2bt3rzGdVJIk9u7dy+jRo/NsX6tWLS5fvmwyNmXKFJKTk1myZEmBW6Y/LUrMRTGh0+qY+/JidJl5C/6I2cGb768onpr915MuEpp6lwO5Km0KPPBUiIhISDzv8xLV7YsvS0VBASDmXhyf9JlHVoYh0DklPoUZAxbw7ZWF+Ph7UbmuL5XrmueG+ShkWebq3Qii41Pw93XF16MCAJt2n8+z7ea9F1gz5WVG9G/NN1sfBOj1aFmTDo2f7g1TlmVi78UhiCLOnk5G78SwuS9jbWfNvp8PY2FpwYAP+tD5pbZP9VnlAXMV0Ro3bhxDhgyhWbNmtGjRgsWLF5OamsqwYcMAQw8vHx8f5s2bh5WVFfXq1TPZP2dG4eHx4uSxxYUgCHncaIpb7fE4v+8yswZ+SUp8ar7rG3Sow8Tv8yrSouCP8J/ZG/UHgiya1KsQABXgrHGnhn1dGjg1ob5j42KxSUEhN9dP3CIz7cEUrCwbqnBePnQdH///rttQ3MiyzKxvd7L9yDXAECPxybDu9O1QD30+2XX67HoSI/q3pmVdP26HxeDlYk+r+pWf6p6aFJfM9P6fc+WIIeivRe8mTNn4Ada2VqhUKl6dMoBXpwwo8PHLJWbqLTJo0CCio6OZNm0aERERNGrUiB07dhiDPENCQv61LERJ4ImmRYYOHWpMncnIyGDkyJHY2toCmMRjKDwgPiqRaf3mk5GW9/oIosCAsX14e0HRN3tL1MZzN+UGe6P+AEAWJJANSaYPouRk+nq/QDPn/67qp6BQVNg6WOc7bvOIcXOz78wto7AAQ+rop2t307pBFZ5pU5tNu8+bxFc806a28fcG1b1pUN27UOxY8s5qrh2/aVw+s+MC30xcz/vLhxfK8RWKl9GjR+c7DQJw4MCBf9133bp1hW/QE/LY4mLIkCEmy6+99lqebZSOqKbcPh/IvNeXkpGav/Dyb1SlWBorHYj6m63h67M9FQ8QkAERUVBhrbKhl+fzirBQMDsNOtahdqvqBJy+gyzLCIKAby0fWvZuYla7tDo9X20+wt7TN7HUqHn92eY816Eed8NiUYmiiZdCL8mERSXw3osdEBD45/h1VKLIS90b82K3ovEIXjxwzaTZoaSXuLj/SpF8VnlB6S1ScB5bXKxdu7Yo7ShzRIVEM67TtEcKixc+7MuwOS8XeW55UOotfg//Md91Bg+sxNvVPqK2Q8MitUNBIT+S41NY+8nP3D4fiFc1D9789BXcK7kxf/c0Ns3fSsiNcLyrevDy5OextDZPJ+AcFv50gC37Lxq9EHPW7MLa0oKK7o55pj8EwMvVAQu1ig9e6cQHr3QqcvscXOxJikk2BtsLooCjW8moRFxqUVquFxgloLMIiA6LZf7g5fkWyBJEAb86FRkyc1CRCovLCaf5JewbkrVJ5CkOkItuHs8pwkLBLGiztEzoOpPAyyFIeomAM3e4sO8K31xeiIOLPUNnvWQWuyRJZv/ZW4RFJVDFy4X2jQ19c/46fDVP+uhfh6+wcNzz7D4ZwJGLgcbx91/qgIezfXGazYj5rzH9+c9RqXIauAkMm114GScKCk+CIi4KmfjIBN5tNpHEmKR81/cY0ol3Fg0t0rbp4WlBrA1ahMyjS7W/UHEYNe3r425V8gLkFMoH10/c4s6FIOOypJeIi0jg6NZTPPNmV7PYJEkyH3/1F/tO30IUBSRJpn+n+kwa0vURGl1AJYp8MbYfxy4FER2fQs1KbtR9jIZhBSUpLpnjf5xBl6WjaY+GeFY2NLJq3bcZiw/P5sCmY4iiQPchnajWsHKR2VEuUDwXBUYRF4VIRlomi99ZTWJ0Ur4FsryrefD+iuForDRF8vn30oP4I/wHwtKDHxIWBltEVEhINK/Qnnau3ZVsHwWzos3MW+9FEECbT7p2UZGWkUWWTo+jrRWCIHDichD7Tt8CMDYH23rgMs91qEe/jvXYvOeCifeiX0dDqp9KFGnfqOg7A0eFRPNe60+Iux8PgKW1hs92TaVe21oA1GldkzqtlfTxwkLg3/y+j3+M8ogiLgqJ9NQMxradwt1Lwfmub9ChDhN/fK/IhEVcVjTLb09HK2WhlyWMKaY5CSFAS5eO1LCvR2On1oqwUDA7tVr4U8HDkcSYZCS9hCAKqDVqmvUs+mk6vSTx+fd7+f2AofhQ/WpefD7mOSLjkvPdPjIumbEvdcTGSsPeUzextFDz+rPN6NK8RpHbmptvJ/9EQtSDNgzaTC0Lh3/Nd9eXFKsdCgr/hSIuCgFZlvl24noCL4fkWSeqDMVs5v79cZHEWKToEtkTsZmbKZfJkgwxHgY9kfN6ZehR4G9Xhxd9hyMKJTs3WqHscnrHea4eC6CChxM9hnTE1tGWz/dMZ/7gZQRfC8XN15Vxq0fiXS1viePCZv0/Z4zCAuBaYATTVv7DOy/kLSwlCOBf0RW1WsW7L7Tj3RfaFbl9j+Le7QjTjBBJJjI42mz2lHmUaZECo4iLp0SSJD4fspy9P+Xf4tbVx5m524tGWGTq01lxawrxWVHokcjpQycIIMqG77SvTTVq2NWju+cARVgomI2f5vzGumkbUalVSHqJP1fuYtnxuVSu68vXZz8vss+VJJlf9pznwNnbWFta8HLPprSoW4lTV0w9jHpJ5tyNUOpW9WTUwHas2HwEMPT7mDC4C35eJaP8fdUGlbl1LtAoMESViF8Jq1ZallBSUQuOIi6eku3f7HmksLCys+KbKwuxsSvc4j96Wc/xmH+4nHiS2KyIXGseeCtUgoiLpSfv+c9ALSqtlBXMR0J0IuumbwRAr9MDEHI9jL9W7WHgh33/bdenZtWWY6z98yRgEN3HLgWy/KMXcLC1QhQEpFwBFLbWGgRBYEifFnRrUYPw6CQqeTrh6VJy0jmHf/Yq10/eJOhKKGBIP/1oXfFU91VQeBIUcfEU/LVqN8ve/SbfdRorC2b8Nr7QhYUsy/wcsogriSeyK2waMPxm6A9iJdpQxbYWL/iOUISFgtmJj0zM4xpWqURi78UV6udcCAjnyp37uDja0LVFDSzUKjbsPGtcL8sGgbF5zwXeeK4lh87fRciuT6GXZEYOeDDd4ePuhI+7U6Ha9yQEXQ1l/azNxEcmUr99bV6ZMgCNpQUOLvasOD2fq0dvoM3UUad1DeycbM1mZ5lHmRYpMIq4KCB3Lgay9N1v8uS9AyDA8lOfUaVepUL9zJtJZzkff8AgLDCNqwAQEbAUrfmo1mLsLBwL9bMVFAqKV1UPbB1tSEtKN2ZR6bT6Qu1ouuGfsyz5+aDRG/Hrnossn/gCumxPSQ6yDJlaHbUqe7Bu+iv8fuASmVk6OjSpRscmJaPD6r07EbzXajJZGVokvcTlI9cJvh7G9F/HA6CxtKBxl/pmtrIcUU7FwdOiiIsCcPt8IOO7zHhk2/l3Fw0rdGFxKnYHf95bBbLKOJaTCZJjRQWNG69UGqsICwWzkhyfwo2Tt9BYaajTpgZWNpbM2DKBaf3nGwvLPf/+s3QaVLBS8ylpmYRHJeLubEcFBxvik9JYuvEggHGa4+rd+/x1+Aodm/hz4NxtY1opQJdm1QGoXsmNjwabp57Gv7Fz7X6jsACQJZkjW04SHRaLW0UXM1unoPB4KOLiCdFpdXzc+1PSktLyXf/+V8PpO7JnoX1ebOY9zsTt4FjM3wDI6MkJ3AQBQTD0CBlZdTaV7Wo/8jgKCsXBnYtBTOw+i8QYQ0qnf+MqfLF3Oo061+Pn0FWE3gjHyd3RWPjpSdl3+ibTV/5DllaPKAiMfbUjjWtWzONBVIkiEbHJTB3eE9VagUPn7qCxUDO4t6EfSEkmK0Obb6p4Tgt6heJDCegsOIq4eALSUzOY3v9z4iMS8l3fbkBLer/VvdA+LyojhG/uTEAnZRlLYgkCqGQJfbbAUAsW9PMZrggLhRLBZ68vJTk+1bh891Iw66ZuZPSyN7F1sKFWi+oFPnZkbDJTv/obXfYbvSTLLFx/gOWTXsBSoyYz60HxLZ1eonolN2ytNcx9t0/BT8gMtH6uGb8u+tO4rFKLVKzhjWeVggkyhadAibkoMIq4eAJWjf+B8/su5xkXBIE2/ZozddM4RPHp0z21UibHYn7nfPxetHKmQfoagzcFRAEEWaKj+0A6uw9UgjYVSgwh18PzdOZ8VGG5f+NmcBQzV+8g+H483m4OTB3ek8TUDKOwyEEQIDAslrmjevPx8r/I0hpiLPp2qEfP1rWe7mSKAZ1WR1xEAk5uDsYCew061GHy+jGsHLeOpLgU6rSqwaT176NSqf7jaAoKJQdFXDwmO9ftZ/vq3fmqUBfvCoxZ+VahCAtJ1rM+aBphaQHoc32YiIyUq5Bskwpd6OIxCJWg3HAUSg5uvi5EhcQgZ8c4GMreP1lRrITkdEZ99isp6ZlIkkxoRALvff4bc0b1zrOtLIOzow3tG1dj65fDuR0Wg7ODDf6+riW+Cu35fZeZ/eJCkuNSsLC0YOzKt+gxpBMAXV5uR5eXzVesS8GAMi1ScBRx8RhcO3GTBW9+la+wcHJz4Otzn+Pk9vRBlFcTD3Ii+nfCM+4COZU2Db8JAqhlAQ+ryrxeZSa26pKTe69QfkmMSSIjNRM3XxdEUWT8mnf5uPenhr4hMjh7VWDo7EGP3D8pNYOvNx/hRlAUFT2ceHdgO24GR5GU+qCjsCTLpGdqiU9Ko1eb2uw4dh21SkQvSTSs7kOnpoYsDxcnW1xKSVpmfFQi0/rNJzPdEEehzdSy4I2vqFK/EtWbFH2PEoXHRJkWKTCKuPgPokJjmDngi3y/IIIAH6weWSjC4kL8LrbfW5odmJa/B8TNypeX/T5WhIWC2dHr9Cx8ayW71h0AwK+uL3P/mkyjzvX49vJCzu6+hMbKgrb9WzyyDoNWp2fUvM3cDotBkmQCgiI5ey2ED17tlO/2Ggs109/qRcv6ftwNi8HL1ZG+HeqiVpc+793t84FkpGaaDgpw+fB1RVwolAkUcfEfzBzwBfERifmuG//dKNr0a/5Ux4/NDGPH/eUEp17LNWr0Vxj/N7jyXHxtayslvBVKBJu//JPd3x8wLocGhDN70EKWn5iHdzXPPFMhsizz56GrXL51D2dHGwb1aELw/Thuhjzoi6GXZGIT00hKzaCylzOhkfHoJRmVKOBawY62DasgigLPtq1TXKdZZDg42+UZkyUZ+3zGFcyHMi1ScBRx8S9s+HQLN8/czXdd2+db0H1wx6c6foo2jvVBH5GuT8ouiCVk9wV5EF9hKVrTv+IH+NnVfarPUlAoTC4dumaS/inpJG6evo1ep0eVjydhwQ/7+XXPBVSi4Xu9/fA1PnitU57tBAxxFKumDOKrXw5zOywGP88KvDOwHXY2lkV0NsVP9aZVad23GSf+OouoEpFlmUq1fWg/oJW5TVPIjTItUmAUcfEITv59jrVTfs67QoAazaoxZeMHBQ4Yk2Q9+yJWci7+T2NK6YMIC8HYeKyly3N09RyGqARtKpQwnNwcEFWiSWaIlZ01okrkZnA0xy4GYmmhokfrWsjI/LrnAmDwTgDEJqZyJzQGZ0cbEpLTkSQZURCwUIu0ql8ZJ3trPn6zhzlOrdC5eymYo1tPoVKr6PxyW7yqeCCKItN+/ZA/vtpJ4KVg3P3cGPBBH6zKkIAqKtJT0lk7ZSMXjuTN3FMoOSjiIh+iQmOYP2RZvus0lhZM+G4UaouCXbo0XQKHo77jcuJOk3Ehuy8IyKgEC5o4P0sXz6GKsFAoMei0OuP3ftDE/hzZcpLMjCwEBPQ6PW99/jpHLwTy0eJthhc+Gdb+cZKZ7zyT51iiIJCRpWXFpIHMXPUPd8Nj8XCx55M3elDRw6l4T6wIObPrIlP6zDNW89342e8sPjKHqg38UFuo+d+YvBkwCo9GkiSmPjefy4euk6XP/O8dnhbFc1FgFHGRD5++vJjkuJR8183+YxKVC9ji+F7aVX4P/YR0yVDdU8idDyIIiAhYi/aM8F+FjRK0qVBCuHToGvMHLyMqJAb3Sq5MXv8+9drVZuHxT1n72RbSUzPpPrANz7zcjj7vr0aSHnS9SUnL5O8j1wweiqR0Y3lunV6iSW1fqvq48P2s18x3ckXMive/Q5IkY2puZnoWaz7+ibl/fWxmy0o25/ZeZtP8raQmpdG6bzNemtgflVpF6I1wLh64Wmx2KDEXBUcRFw+xffVurh4LyHddn5E9aNKtwRMfU5L1XIn/m4NRq9HJD9S2Ib30QbXNqrZN6OY1UhEWCiWGqNAYPn72U2Pp6eiwWCY/M5fFZ+Yz8btdhKEHWzWndp3FuZ4vcYmpJi9qekkmOj6VxeP/x4cLtxIdn4IoCrw7sB3tGpX9rIi4iHijsABDUbGYsMLtBlvWuHz4OpN6zjb0TZJlbp6+TXxEAqOXvYk2VxVWhZKNIi5ycT8wkiXv5N9CvXK9Sry/YvgTH1OWZf65N5dbSYeQs0WECCblvNVIdPYYSVPn5wtouYJC0XDl8HUy0x4IYlmSyUjNZNmPB7gfk2Qc1+n1zFq9g+qV3LgVEm2MrRAFgdpVPKhZ2Z1ti4cTk5CKg40V1lblo6psrZbVubD/CpLO8C9eVInUaV3DzFaZn6yMLNZ8vIEzOy9gX8GO16cPpGn3hoDhBU8QBCQpu3GbDH+u3MU7i4biV6ci3v6eRAZFodMWg6HKtEiBUfIas9FmaZne//N8O51aaNR8/NP7TxzAGZl+jQ2BQ7mdfCh7xPBNFTBceAFw1vjS12eKIiwUSiSWjwgwjM/IMgoIMDwAYhJSmT7yGVydHqRTNqrlw1v/M3Q/VYkiHs725UZYAIxf8y4+/l7G5dqtqjN8ftmdBnpcPh+6gt+X/k3I9XCunbjJx89+yrXjBo+xNkuX5z4sSRKSJGGhseDz3dOo07omFsXwPRJkuVB+yiOK5yKbX774g8DLIfmue+uLwVSp7/fYx5JlmZDUk+y4Nw2dpCcnAwT5QdCmgEAFC29e8luItTINolBCiE9K4/yNMCzUKprVqYSVvzt6R2vEpHRjixvJwZqKfq7cjE4wtjIXBQEvVweq+rjwyxdDuR0Sg8ZCjb+vK6JYsstwFwan/jnP0ne/IS4yAf9GVZj043t4V/PEraILqy8uIPhaGCq1ikq1fQqlTUBp4Na5uyweuZr7dyOpUq8SH3wzkorVvUhNSuPgL8eM28mSjKgW2Ll2P3Va16TDC605tPm4cb2oEmn5bBMsNAYx4eHnxsKDs0hKSsLR8ddiPy+Fx0MRF0DwtVB+nLU533UNOtThuVGP30JdlmUORnzO9aS/s4VEjp/CELSZUxygpevrNHUZiEa0flrzFRQKhau37vHOrI1kZb9oOWnUvDGoHand62J5OQwxKQPJwYrM+r40q+dHWHQSNwIjAbCx1jDr3WcBsNJYUC/X23pZJ/ByMNP6zUfSS4YYgTO3+aj7LL67thiNlQa1hZpqDSub28wiQ5Zl9Dq9SQZdTHgs47vMICM1E0kvceXoDcZ3ns6aa4tNYlBykyNUOw5sTVLMcNbP/pWM1Exa9G7C2JVvFcep5EWZFikwirgAlrz7Lfrsboq5UVmITPnlg8d+00jW3uNQxHzC0i4Yxx5ukS4KIp0936e+U+lqA61QtpBlmXPXQ4mISaaaryu1qnjw4exfyNLLkO1pSMjQsvXP02BpQWazKib716jkxrfTXuJiQDjpmVrq+XtRwcHGHKdidk78dQ5Zlo2ufL1OIjIomruXgp+qxXxJR5ZlNn2+jfWzNpOVkUX9DnWYsvEDKng4cXrHBdKS0o3bSnqJ2HvxXD0aQItnGtOsZyPO7blkqJMigF4v0TlXo7a+7/Sk7zuP/1JXVCjZIgWn3IuLvT8d5vKha/mum7B2FBXcnR7rOPGZd/kr9B0y9BnkTHsYvlOG4kCiDPYWnrxQaTnWFo93TAWFokCWZWat2sE/R64bx0a/1J4ErQ5UuYS0KBAZmcir/2vJT3+fNQ4P7tOcutUMnolmdSsVm90lFQtLdf6xWpZlI7ZElmXu3YlAlsG7mofxZWvfhiOsmfyTcburR28wc8ACFh+Zg6jK/4UsZ3zKpg9YNvpbzu66hJ2TLUNnDaJJ1/pFfzIKxUa5FhdZmVpWfvh9vuuqNvSj6ysdHus41+J/4nT0CvS5QjUNv+WU8Zapat+WDh4fYK12KiTrFRQej6i4ZI6eD0QQoF3jqly7G2kiLABWbDyMOi0Lna2l0XOBJGOjl3j/5Y50bl6d0IgEfD2dqO/vbYazKLl0eqktG+b+RmpSOpJeMmaEVKlf+oVXamKqoWjVYcP3pWbzaszd/jGOrg6c/Pssoigaszr0OomrxwJIT0mnZe8mOLo5kByXgqSXUKlFPCq7U69dLQBsHWyY9MP7Zjuvx0aZFikw5VpcrJ3yMwlReZuSiaLA7D8m/ef+WimVU1HzuZu8K1ea6YO+IAIyKqC127s0cH5022kFhaLiZnAU78z5hdTs1t72Npb07VQPURCMBa3AcP9r4+XMobgk0BhuC0JaJm+/0BaA+v7eiqjA0KDt7C5Dx9d2/2uJg4s9rt7OLD0xj3VTfyYqJJZaLfwZOvulUhW4GR+VyKUDV1FZqGjSrQE29oZYsK/HfW9S9+fWuUCWvPMN0zZ/iJWNlWlePYZ7p4WlBdZ21iw5Ooevx31P+K37VGtYmXcWDS115c2VaZGCU27FRWJMEtuW/5PvuufH9Mbd1/Vf98/QxbEnfCQJWYYME8MkiIggyKhlCRkRjWhPN585eNs0LmzzFRTyIMsy+0/fIiAwCtcKtvTtWI8F6/aRnvmgIEBqRhanrgSbCIscRk9/kXo/HuafXeexUKt4bUgnerzcvjhPoURzdvdFpvT9DL1OjyzJfD/jF5afnIdbRRcqVvdiysZx5jaxQNy+EMiErjNJiU8FwKOyG4uPzMHV25nLh66b9I/JCc4E6De6F3vWHwTZkCqKDC+M62sM7PTx92LOY7ykKZRNyq24WPH+d2gz81Z7s3GwZsR/5KFHp5/j4L33yJIf7C8KgKxHj4gggKOFD9195uOoKf2uUYXSwZKfDrJxxznUKhG9JPHnwavEJqQYo/DBEJGfFJGAZXAMmX7ZAlqWcQ2Kwd3RlsEf9WPwR/3MdAYlm4UjVhqFBUBCdCLrpm1kwnejzGzZ43Hx4FWObDmJxtKCHsM641e7IgBfDv/aJPgyOjSWbz76kcnrx+DsXYGIwEjjd0gQBSp4OAJQrWFllh77lF8X/klqYhpNezTkuXfNH4RZqCjTIgWmXIqLiKAoDubKo87N6GVv5tsyGgxvhrcT13Mxdil6WQZUubqDyIiCoWBKNYfetPWcWkTWKyhAbEIqP/51mpj4FGpX9aRdk2ps3HEOMPTtALgVHEUVHxcSktONBa9UooBLYgbpx24j3oxAtrVETEgjMyGNgFO3adiprtnOqSQjyzIxYbGmpbx1EhF3o8xo1eOzf+NRPn11MSqVCpDZumIHiw/PpnqTqoTdvJ/HOxF8LQyA4fNeZULXGQjG9QJvfzHYuK1/4ypM+rEUxE4UEGVapOCUS3Hx/YxfTP4x5eDs5UT31zvmu49eyuRc9BTCU3YjZ4sKkLPbowvZzdJFGrmNpo7TK0VpvkI5JzE5naFT1hv6eMiw90QAx87fybOdKAo0r+9HWqaWiOxS3Z6uDnRr4Mr3W0+jjk6G6OQH2z8iwl/BUKPGr64vwdfCjPcOUSVSrVFl8xqWC0mS+OWLP9j9wwFEUeS5Ub3o83Z3BEFg1YQfQAa9zpByL8s61s/+lZm/f0TFGl7cvRhscl5+dQxejbptavL12c/Zt+EIkiTT8cXW+Deq8kgbFBRyKJfi4vi206jyOfWxK9/Od/tMfQLH7w0jUXsXcipsCoKxfoUggFqwpL3n53jbtipa4xXKHYfO3GbdHydJz9DSsZk/DraWxCSkmqQ/nr0ehkajRqvVG72wekmmVX0/Rr7Qlsu37yEgUL+6Fymxyfz66e+kJWdnN6hFKlb3omYLf/OcYClh8vr3+aj7bGMQePUmVRkyyzyB2nER8Wgzdbj5uhgDR3/+9HfWTdto3Gbpu98gCAJ93u5OykNdniW9RHyk4Tw+/PYdJnSZSUqCIebCzdfFZGrYr44vw+a8XNSnVDJRpkUKTLkUF7Ikw0MViZ29nGjZu0mebZOzbnI8/HUy5TTIFhIqWUaPgChICLKMvYUvXX1+QKOU8VYoBHR6CWQZtVrFiUtBfLRom3H6LeheLLUqeyAKoH/opvXuoPas2nzUGMA5/H+taVGvEutn/co/a/ZmP2h68PLHz7P4yGxWfvg99wOjqNGkKu8sGoqmjNRleFquHL3Bgje/IjIwioo1vZn4/Xv4N65Clfp+rAtYQsCZu2isLKjdsvojp1CLiqyMLOa9tpQjW04CBoEz569JOHtW4K/Vu/Ns/9eqXfR5uzv12tfiwr4r6LMbqAmiYJwC829Uhe9uLOHi/iuoLNQ07f4gW0Sh/E5rPC3lUlzkx/DPXsuTOhaZ+jcXoz5CJ2dngmDoDaISZARZj4yAp20HmnvMxUK0NY/hCmUGrU7PgnV7+fPgFZChW+uaZGbqTNJGZRkCgqNMgjRFQcDR3op+nerTt0NdQiMTcHGyxa2CHT/M+IX1c341vj2tm7YRlYWKlyb2Z94/U8xxmiWaqJBoJvWcgzYjC0mSCbkezkfdZrI2YCmOrg7YOtoWS7GnzPRM9m04QmJ0EnXa1KRBhzoA/DDjF45uPWXc7s7FID4fupzPdkw1thYwIXvoo3WjmdLnM26duwtA2/4teH36QONmFdwd6TSobdGdUCFz+fB1zh++ZG4zFP4FRVwAds62dBrUxrgsyxJ34uYQnPRTdnxFTo8QEJCQERAFgepOw6hdYTSCoMxVKzw5mVk6rt+NQABqV/NkzZbj/HHgsvEZsed4AB6u9sj5+FUnvdmdRT/uJzNLh7uLPfM/eM7YbbRWFQ/jdrt/OJjHLbvr+wO8NLF/EZ1V6ebc3ismLeYlvURyfCpXjwbQpl/zYrEhPSWdse2mcvdysKFIlV7inYVD+d/Y3lw8eM00qFQvceWwITW057DO/DT3N5O/d89hnQFw9qzA8lPziAmLRa1R4+xZoVjOpSjYOH8rayb/hCTkzfYrdGQ5f9H2pMcohyjiAhgwtq+x454kZXA1chixmWfIia8QBRmVTHZ/EAERgWYei/C07WxOsxVKMVGxyYye+wuhEQkA+Hk7o5clk/uQJMskp2aYjImCQPdWNenfpQF9O9UjNT0LextLQ1O8fBBUecfLQ5fSgqKxzP+WWBTtvWPvx7NizHfcPheIV1V33lk0jMp1ffnz610EXgkx1I/IDrJcNf57ug/piJObA6JKNAlIt3cxtLh/ffpAVCoVO9ftR1SJ9BvVi/7vPWPcThRF3Cu5Ffp5FCcx9+JY87Gh5Lj0iAZohYmSLVJwyr24EESBF8f3BSBLF821iP4k6yJ4OL5CJUiIsoRKdKSV90/Ya6qZ13CFUkVgWCy7j99AlqFrqxp8vekw93JVhw2LiMfGRpMrtdmAk70NY1/rzNqtJ8nIzKJDU3/GvN4JAJUo4mBr9a+f2+/dXnlK3Pcb1auQzqrs0bJPUzz83IgOj0XSGUp5+9b0pmHHOgU+ZlZGFrcvBKFSq/BvVBmVWkVWRhbjO0/n3t1IJJ1EZHA0H7SfyrdXFxEdFotKJaKTHjRTlCSZ+MhEXp8+kHN7L6PX6gABvV5vTA1VqVS8Pn2gyXRHWSMmLLbcBkiWNsq9uKjdsgYaKw1pmRe5EfkiWjkLEI1lvEXBUHlORsRWU42mnj9iqXY2t9kKpYhLN8MZPWezsQfD+j9PYWOtMdaeAENmh0oUDSnNgkFiyDIM69+K3h3q0qdjvf/8nPt3I5k/ZBm3zwXi7OXEe8uH87+xvVFZqNixZh8I0OftHvR+q1sRnWnpIio0ht0/HCQrPYuWfZpSp1UNbB1sWHx0Dmun/EzYzftUqevLG5++gsZKU6DPiAiK4qNus7h/19CavmbzaszbMYW7F4MJu3nfuJ2kl0hJTOXYttP4N66CLleXZkEQsLa3wr2SK1Y2lnx1Zj671h1Am6ml7fMtaNix7NUmiQ6LZceafaQlp9O8VyOadGsAgLe/JxaWFmhzVZ0tUpRskQIjyPm18yujJCUl4ejoSCf6oRYMbs7pv42nXo97BMaORS/L6FGhkwUkBGSE7GZkAs5W7ajn/jUqsXTVxlcofnYcvsb6P0+TmaWja+uanL0awrU7EcagTFEQ0GhUZGn1RteuKAo0rlWR159rwR8HLiPJMr3a1qZjs8dr2Z2VkcWbdT8gKiQGSS8hCAKiSuTrs/OpUt+vyM61tBJ28x6jW00mPTkDQRCQ9BKfbPyAjgNbF+h4sffj+fnTLcTej8e/cRVenPAcFhoLxneZweXD101qSPQc2okur7RnQteZJscQBBi9bDh9Rnbny+Ffs2vdAQCsbC2ZsWUCTbs3fJpTLjXcD4xkVLNJpCalIYgCeq2eD1a9zbMjDKL40K/HmffaUjIy0znANhITE3FwKNxMvZxnRfPn56C2+Hfv4H+h02Zw+vcpRWJnSaZcey5UFipqdDpAaOwyIKeXqYwqu0+IBKiR8XEYRpUKnzxyXluhfBMVm0x8UhqVvJw5duEuM7960LPmh20nsbbSmPTykGQZK40FAgIZWYY3MGtLC8YO7ox/JTdaNqj8xDYEXg4hIvBBtUhZlpFlmeN/nlXERT6sn/0r6ckZJrELK95f85/iQq/XExkUjcbKAlcfFwCSYpMZ1XwiCVGJSHqZo7+f4sbJW8zaNpFb5+7mqX4ZcPoO7y55A88q7kSHxqDPnn6xtNHQqm9TRFFk/Jp3eXH8cyREJ1GlXiUcXOyL5kKUQDZ9tpXU5DTDdct24Hw9bh3PDO+KIAh0eKE1ddrU5PKJaxwYsM28xio8knIsLmQ++OkOsSmHkBEM/xNALevRCSrU2f6wai6LcLXrb25jFUogsiyz5McDbPrHUHbbzsaSSl4VHtoGMjK1iKJg9FKoRIGmdX0Z9XJHDp+9jSBAh2b+eLgU/K1Grcn7T1mWZSyU2hX5EnMvLk+V3sToJGRZfuRLRFRoDB8/M9dYGrv9gJZM/mkMe386TFxEgkkWx4m/zhJ8LQxXHxdCU8KN60SVaJzeWLBvBotHruLOxWA8/Nx4b/mbxoaJgiDgV8eX8igLE6ITkR/622SkZpKVkYWltcFz7OrtTNPsqZIiRZkWKTDlUlyIKok5e87h7J+OVs5JNDX8FwEskEBWUdNzK7aW5cMVqfDf6PQSf+y7xJ3QGHzcnXCwtzIKC4DU9EwCAiPz7KdWidSo4s6VW4Y59hqV3Rk/tCtODja82Ctv4bbHRZIkMtOzsLa1onI9X+q1q8W14zcNVTdVIjYO1nR+qc1/H6gcUrd1TS7lSusUVSLVm1ZFEARSE1PZ+NlW7t2NpFItHwZN7I+VjSXzXl1C2M17xmMc+f0UG+ZuQa1RIwhCnpThtOR03l8xnEm95iDpJWRZxtrOiuHZ1S89/NzKba0RSZL4Y8VOzu29hF0FWwaO62v0sNVpXZNj204btxVVIpVq+xiFRXGiZIsUnHIpLr48fpYKXhKG0E2ybwo57ccEVNhSw3s3lhYVzWmmQglAkgz9Y2QZPl70B0fO3kGlEtFLMhUcrFGrRGOjMFkmu6HdAwQB+naqx7ihXQmNiEeWZSp5OT91OujuHw+y9N1vyUjNwNvfk+m/jmfu9o9Z+8nPXD91C3dfF4bNednoui/PSJJEdGgsGmsNFdwNHT1fnTKAOxeDOLndIA49/Nz4ZMNYMtMzGdt+KiHXww1eDODc3st8uX+GUbjlIEsylw5dY8T81/h+2ibjuKgScXCxp0o9X6ztrFl1YQEn/jyDSq2iw8DWuFVU/iYrx33P70v/BsGQInvol+OsODMfv9oVGfBBH+5eCmbvT4cBcK/kyvTfJpjZYoUnpVyKC2t7PYZ6FdleL8FQHEuUwULlQ1XPPahVjma2UsGcpKZlMnflTg6fuYOFWqRL65ocPmtoDpYjJuIS03jYgy4AYwd3ZsueC2Rm6ejSqiYjB7VDFAX8vAsny+ja8QA+H7rc6G6NCIxicq85fH97OaOWvlEon1FWiAqN4ZPenxJ0JRSArq+2Z/x37yLLsklGhl6vR5IkTvx1zrgtGC7xtWMBXDp0HXtnOxKjk4zrRJVIBQ8narWozsQf3mPJO6tJT8nAo7Ib038dj7WdoYR2pVo+VKrlUzwnXArISMtk67K/DQvZtTx0Wh1/rNjBe8uHo1KrmPTj+wz/7FXSUzLwquqB2sJMjyqliFaBKXXiYsWKFXzxxRdERETQsGFDli1bRosWLZ74OCpAAhAMbyeyDJYW9ajkuR1BKFjamULpJTNLx74TN0lISqN+DW82/n2WQ6dvI0kyer3E9gNXDW6uh3CytyYhOQOVKKDTSwwf2IYXn2nCi88UfLrjvzi7+5LBe5LdJ0LSS8RFJBB8NZSazZXmY7mZ+9IiY4wEwN4Nh/Gt5UNGaibn9jwoHx0TFsenryyhz9vd8z1OWlIaI78cwvwhy1CpVMiyjMbKgtemvgAYREuXV9qRkZaJ9X/UHinvZKZl5nneyjKkp2aYjJUEr5syLVJwSpW42LRpE+PGjWPlypW0bNmSxYsX07NnTwICAnB3d3/s4wgY0gEtZDknGBlrqw64uf6slPIuh2Rkanln+kYCAqOMfTxUuQIwc8iZHsm9PO+D57h+N5L4pDQa1PChbZOqRW6vjb11vtUJrct5s6nb5wO5ceo2zp6GJoSCKHDt+E3TjWQ4suUktk42ecpo3z53l3rtaqG2UKHX6ZFlQ5E9jZWGWi2r4+rtjJuvC8f/OIPGyoKewzrj4+9lPIYgCIqwyEXglRCWv7eGe3ciqFLfjzFfjcDDzw0HF3uqN6nKnUtBSLkEcstnm5rZYoXCpFSJi4ULFzJixAiGDRsGwMqVK9m+fTvfffcdkyZNeuzj5HQLUQmGqRFrq35UcPm6aIxWKHEkpaQzb+UuTl8Owc5GQ4OaPtwMigYwpozqH3p4i4KhZ0dgeBzpmVrUKpGJw7vTsFZFGtYq2tgcWZaJDI4mIzUTn+qedH2tPb8s+IPEaEPqI0Dr55rhW9O7SO0oKciyTFpyOjb21sbMjr9W7WbJu6uNU0WNutRj7vbJ+e6fEJ2IX92KpmW0BXB0c8C3pg/Tf5vAZ4OXkpqQhqOLPZ9s/ADX7Cmthh3rlsmiVYVNXEQ84zpOIy0p3dDePSKBcR2n8e2VhVjbWTNr20fMGbSIq8cC0FhrGDpzUIFrjBQpSrZIgSk14iIrK4uzZ88yefKDG4YoinTr1o3jx4/nu09mZiaZmQ+aECUlGeZLVYKABQIyYG0zBLsKnxap7QrmJUurY+/xm8QlpFLH35Pvfj3OhWth6CWZtPQs9hwLQKUS8rQwzyEnruKdlztQr4YX0bEpuFSwxaaAVRufBJ1Wx7xXl3Do1xMAeFR247OdU1lx+jNj0aaazfwZOL5vuajDcvVYAHMGLSQmPA5bJxsmfDeK+u1rs2z0tyY38Yv7r7BjzX4ElYD80B/Ws4o7g6e/yMnt50hLSkcQDIG77y0fDkCrPk3ZErOW1MQ07Jxsy8V1LWxO/X2elPhU47JeJxEVEsOVIzdo3qsxrj4uLD4yh6xMLRbZ2TYlEWVapOCUGnERExODXq/Hw8PDZNzDw4MbN27ku8+8efOYOXNmnnE1IhpBRGPzFlZO5TMVrKyjz34j1eklRs/8hau37pvUmsiNIJh6KgTA0lLNqFc7cOTsXSw1agb2akzTepUA8H2olkVRsunzbRz+7aRxOTo0ltkvfsmq8wuMD8OySFJcMt9P20TQ1VAqVvdi6OyXEFUiHz87l4wUw9x8amIas1/8kk82fpCnZoWoEokIjKTTi205sPGIyXTWs292w7uaJ99c+pI96w8byn/3bmISryKKIvYV7IrlXEs72iwtWRlabB1sHgw+Siw8NK5R6rCUWUqNuCgIkydPZty4ccblpKQkfH19sUDk8OZq9B6jCIuyRmamlvmrdrPn6A0QBOpW9+TabUN9iUd1URQAbw8nwiMTANBo1Mz94DlaN67CgJ6Ni8ny/Ll2/Ca5K/RLeom7F4PRZmmNnXxLM7Isc2bnBe5eCsGzshvtBrREr9XzYafphFwPN7QUP3KD8/uuMOLz10hLSs+1M0h6mft3IhFEwSSGQq+TcHJ35PUZL2Jhqebo76ewtNYwaGJ/ur3eATAEDCqt5wuOLMt8P30TGz/7Hb1OokazaszYMgG3ii60eKYR9hVsSc2eFhHVIm4+LtRrW9PcZj8ZSrZIgSk14sLV1RWVSkVkpGmRosjISDw9PfPdx9LSEkvLvIVXXmvUEEcHN3qPKRJTFYoRSZLZvv8KV27ew9nRlui4ZHYduZH9QJa5GHDP2AgsNznBmaJgqMw68/1nUalEEpPT8a/khrOTrVnO52GcPRzztNi2dbQxX2reU5CalEbojXCc3B3xrGwIwF41/gd+W/SX8Rxb9m5C33d6mKSDSnqJ+3cjCbockueYsiyDgImwyCE9JQNrWysmfDeKCd+NKroTK6fsXHeAn+b8Zly+cyGQGf/7ghWnPsPZswKLDs9m2XtruH87kioNKvH+iuHG9NzSgjItUnBKzR1Ko9HQtGlT9u7dS//+/QFDcZy9e/cyevToJzqWLkNFkjblX0v9KpRcImOSuB+ViI9nBdb9doKtuy6iUomGB42MyZu+oaOt6b9ujYWKAb0ac+5qKA52Vgwb0Io6uaL+zUlqYirn9lxGkmQad6nHK58M4OjW04YmToKhxfa7i4eV+O+tXq9HFEWjnRf2X2Fa//mkJxumNJ5//1l6vdGF3xb9BWAUTye3n8Ovrm++x3Sp6EKDjnW4fPg6ZGdyeFX1oGGnvAGWokpAr9PncxSFwuLs7osmU416ncTNM3eMwbZ+dXxZsHeGeY1UMBulRlwAjBs3jiFDhtCsWTNatGjB4sWLSU1NNWaPPAmyJBN0NZQq2fPoCqWDjX+eYfn3B4ytyXNkg/6hOfccBMDR3pqEZIM7XWOhYvYHfWjfrOTVg4gIiuKD9lOJCY8DwNHVni8PzGTVxQXsWneAjNQMmj/TmAYd6pjZ0keTmpTGF0NXcPzPM6g1agaO68ugSf2Z8b8vyEh9EFz9+9K/8+17IogCNvbW2DrZGBuL5aSDNu3WgK6vtGPT/G0EXQ3Bw8+dlyc/j62jDX51KhJ68x6STsoWNAJtn29ZjGdedslMz+T6iVvIskytltWN6ba29taGNKpcXiOVWkRjVfqn64wo2SIFplSJi0GDBhEdHc20adOIiIigUaNG7NixI0+Q5+Py26I/Gb9GcZeWZE5fCmbp2v3EJqTgV9GFS9fDjesMLnHTN3hBELI9UgCG3z96qzuVvCsQG59K1UquuJSQKY+H+WrsOuIiEozLyfGpLHp7NYsPz+bVKQPMZ9gjOLzlJBs/+52M1Aza9m/B4BkvsuDNrzj+5xkkvURWehY/zf0NvU4iNTHNZF+1hYqk2OQ8Uz6yJFOvbS2a9WzEZ68v5d6t+7j7uTFh7Sg8/NyQZZmazauhsdbgWdkNWycbVCoV83ZM4Yuhy7l+8hZObo68s3goNZtVK+5LUuaIvR/P+M7TCbtpiFvyqOzGl/tn4uHnxvNje7Pnp8Po0CJLMpIk8/Lk/5XKKbtHoUyLFBxBlstPtElSUhKOjo50oh9qwQILSzXb0zaUeBdzeSImPoXf/j5PUkoGnm4OfLPpKJIkGwVDft9WQRRMxof8ryWBYbGIgkCfrvVp3bhK8Z3AUzC05nuE34owGXN0tefXqO/MZJGBlIRUNsz9jdCAe/jW9ObVKQO4cjSAKX3mGVxDskHU9X67Ozu+24cuS2eyf732tbhy5IbJG5wgCoyY/zr2znYsemulUWC8NvUFhswcZNzu4anLr8au5felfxtFSas+TZnx+wRUKlWRXoPyyqwXv+To1lPGYlcqtUijLvX4bMdUAIKvh/H7kr9JS06jafeG9BjSqdjupzn388TERBwcCt5R+N+O3abnLNQWT1cYTafN4NjOaUViZ0mm7EjMAqDN1LH9mz30eSv/kr8KRY8kyVy4FkpCUjoervZMnr+VxKR0EAzltAXxgaB4lAx2sLMmMTkdURQY+Uo7Xu335OXgSwKVavsSERhlLOstqkQq1izenhSXDl3j8G8nsNCo6TmsM15VPRjXcRrB18KQ9BKn/jnP2d2X8KzibpKhIcsy/6zZi6W1xkRcCKKAnZMtQ2e+xLppG1GpVUh6iUq1fOjzdjes7axp0q0+YQH3cPdzo2J109iX3A+qOxeDDM2ueBCjceKvs5z48yxt+5fOv3lJ5/a5QKOwAENcxd2LwcZlv9oVGbvyLXOYVjxIssm0T4GPUQ4p1+ICDG9Cz7zRBZVaefMpLjKzdCSnZGBva8nHX/zByfOBACZTGcYutRKGt+OHUKlE9HqJZzvVZeI7PYhLSMPe1grrUjTfG3D6Nvt/PgKCQLfXOvDu4qHcOnvHGHNhX8GWD1YVzY1bm6Vl17oDRAZHU61RFTq80IpDm48z5+VF2V4AmW0rdjB09ksE5srSkPQSdy8Fo7HW5J1LlmUGTezP2k9+BuGBMBgwtg+NOtejetOqXD9xEyd3R3oM6WjMHHD3dcXd1/U/bY4Ojc0zJghCvuMKT0bAmTsc/f0kags1XV9rbyxr7lXNg8jgaKOYE1UiHpUfv9VCqUeJuSgw5V5caDO0zH15EdM2jze3KeWCrTsvsnjNXnQ6CRtrC9IztMZ1Bs9E3n+JOf0+RFGgbnUv/tezEfeiEvGr6EKnltURBAF3F/viO4lC4Myui3zS+1NjmuzWZf/w2c4pfHtlIWd3X0KWZBp3rY9DIZzXvTsRHP39FAgC7Qe0xNXHmY+6z+bqkeuIahV6rZ5n3+rG6X8ugIwxy0KWZWPb64ep07oGN07eMi4LokDnl9rx8qTncfZw4siWk2isNfR/7xljAGqLZxrT4pmC1w3JU7I728aqDf0KfEwFg/dn+vOfG6cdf1nwB4uPzMa/URXeXTSUse2nkpKQaiguZ6Ph/RVlt3ibQuFRrmMucvPB6pE8O7yrmSwru4SEx/H5V7sIDImhgqMNQffiHqz8j6lZURRwtLemSiVXYuJTaFDLh9GDO2Fnm7d2SWljZJMJ3L0UbJxWEESBms39WXb86UrRn955gZtn7uDq40yXV9px+3wQE7rMQJtpEHEaaw0vT/4fa6f8nGdfjbWGrPQsk7GqDSoRfiuCrExD0F5O5sZ31xdzbs9lfp63xRjQ+faCwVhaF97fJjk+hcjgaNx9XY0ia8d3+1j09iqjwBg8/UVenz6w0D6zPDKk+mju340ypnCLKpHmvRox509Dq4XY+/Ec/+MMsizTsneTx/IyFQfFEXPRtttM1OqnjLnQZXB0z3Ql5qK8suitlXhX9aBRl3rmNqVUo9dL/Lz1NKcuBGFtacGVm/dITc1EL8kkPdRS2eikyCUyREFARkaWwc3Zji8++R9VK7kVm/3FRUJ0kknhJ1mSSYhKfOz9M9Mz2bn2ALH34qjZ3J/WzzVj3dSNbPh0Cyq1Ycron2/3otPq0GbpjLUIsjK07PhuX76l0CvX9eX2hQdz7IIo0KxnY0YubMhnry0lLiKBCh5OfPzTGNx9Xek1rDO9hnUuhKuRl30/H+GLYSvQZekQVSLvrxhO77e60+uNLjTt0ZDQgHt4+LmadCVVKBjxkYl5qsDG3os3Lrt4VXhkK/oyj1Khs8Ao4iIXH3WfycytE2ndt5m5TSlV3AmK5q89l9Bq9UTFJnP87IMYCpN6VvmIidyIgsDHo3vRvoU/yamZuDnboVKJRWu8mWjUqS77Nx41mctu1Dl/YXv/biTbV+8mIzWTlr2b0KBjHca2m8qdC0GIahG9Vk/vt7qzffVuAGNA6NXjAdg62JhMI0h6icy0zDzCQq1R88E3I1k0YiU3z9wBoE2/5gyZ+SIaKw2b7n1DZnpmoXomHsW9OxF8PmSZ8TwkvcSSd76hVsvqVGtYGbeKLrhVdClyO8oSer2eTfO3sX/jETRWGgaM7U2XV9oDUKdNDS7su/IgkFgUqdeuljnNVSgDlEtx4ebrQnxYUp5xWYZp/ebz5qev8NKk581gWelAr5fYdfAaoeFxqNQiP205haSXkMnu35EdyPcowS4IBiGhl2Q6t65Bj461SUzKoE4NL6pWMrhcbW1K/9RHDrIs8/vSv9m+ejeyDM+80YVRS98gKjSGy4euA9CwU11GLhzC2d0X2bF2P5Jeousr7fGt5c2oFpOypysEtq3YQeeX23HnQhCyLKPXGuIjcoRFblQqFRU8nMhIzTDJQKnfoTb+jauy5uOfQAaNlQWT1o/Bv2Fllp34lJiwWNQaNc6epg3aikNYANw+H2i0NwdZlgk4fYdqDSsXiw1ljXVTN7Fx/u9Gb+G815aiUqvo+GIbxn83isk95xB01VByvWHnurwx92UzWltyMGedixUrVvDFF18QERFBw4YNWbZsGS1a5J8V9c033/DDDz9w5coVAJo2bcqnn376yO2Lg3IpLr48NJN36k4k86H55RzWfLyBc3suM+uPiViVoYfc03AvIoGjp+8gCHD89B1OXwhGpRLR6SVTT0Q+Oe45nT3UooCdnRU9O9UhOSWDmtU86N+zUZn1TuSwddk/fP3BOuPy6o9+RJIk2j3fkoTIRARBoN3zLbi4/yrT//d59tQQHNp8nHrtapGZlmXifTj863FElZinvLXaQoVO+2BMr9Pz0qT+/PLFNkKyi4/51anIqKVvUsHdke6DOxITFou3v6exA6goiribeRqqgofTI8Ydi9eQMsRfK3fliZX+a/VuOr7YBldvZ1ae/4KwW/dRW6jwruap1P7JwUzZIps2bWLcuHGsXLmSli1bsnjxYnr27ElAQADu7nmzdQ4cOMDLL79MmzZtsLKyYv78+fTo0YOrV6/i41O86ew5lMuAzsTERBLvJzOiwYfGN7/80FhaMG7NO3R5uV25+8cmyzKnzgURHBaLLMus2XCEzCxdHm+EDHmnOR66VvVqeZOUlI6vtzPvvdEZHy+nIrTc/MiyTMiNcLQZWirVqcjIxhMIvRFuso29sx3JcSkmYx5+bkSFxJjMf1vaaMhMy18E5yAIoLG2ZMzXI1j09iq02Rk4L45/juHzX0On1XH7fBCCAP6Nq5T4CoqyLDPrxS858ttJ1BYq9Do9jbvW59N/PlGKZf0HsiwTey8OQRRx9nQy3rf6OQ4mLTndZNsGHerw5YGZ5jCzUCiOgM52nWcUSkDnkf0znsjOli1b0rx5c5YvXw4Y+mj5+vry3nvvMWnSpP/cX6/XU6FCBZYvX87gwYOfyv6CUrLvMkWIb00fvjozn9EtJqHN1OW7TVamls9eW8q6qRsZv+YdGnYq28GeySkZHDx6k4xMLZdvhLP/SMCDuIl/01a51ouCgL29FalpWdhYaxj+Sluef4r0w5JOVkYWBzcfJzE6iTqta1C1YWVmPP85Z3dfAsCzijvJ8Sl59kuJT80zFns/noe1vqgSH7h+sperN6lCsx6N+GmuoSOlpY0l0zZ/SPNejWneqxEh18Nx8a5gDHa00FhQu2X1QjzrwiP4ehhfDF1O4OUQ3P3cGLd6JPXb12bKxg/Y/cMhQq+H4VXNk15vdFaExX+QFJfMtH7zuXo0AIAWzzZmyqZxWNta0X1wR/74eqdJEHFO63mFRyPIMsJTvn/n7J+UZDoV/6iu3VlZWZw9e5bJkycbx0RRpFu3bhw/fvyxPjMtLQ2tVouzs/NTWP50lFtxAVC1vh9rA5byTpOP8rxF5iYiMIrxXWZSrVFlRi99g3rtahejlUVLwK0ITp8PQq+X2LbjIrFxKYYW1tnrH+vfVS7hUau6J599/DxOjjZlwtuTlalFpRJRqVWkJqbyw4zNBF4JwbuqB4Mm9mP2oEXcOnvXmH3RuGt9Lu6/Ytw/KiTmsT/L2s6KlPjUBymBokiHga2RJZld6w4AULGGF1M2jcOzsju93+5O3P14KtbwwtbR0C/Fyc0RJ7fSMX2QmpTGhK4zSYxOQtJLhN+6z6Sec/j2ykK8qnoUWSZKWWXJO6u5fuJB7ZEzOy/yzcT1vL98OG9/ORi1Rs3+jUewsLRgwNg+9HqjixmtLSVI2T9PewzA19e02+/06dOZMWNGns1jYmLQ6/V5emZ5eHhw48aNx/rIiRMn4u3tTbdu3QpkcmFQrsUFgEclN34OW8XkXnOMwXWP4s6FID7oMA17ZzteGNeHZ0d0KzU38hwkSWbX/qvcvhNJYlIGuw9cQxBAkh8KxHxYF+Qay50FohYFxo/qSYdW1dHq9FQopaJCr9NzZucFEqKTqNWyOs6eTsx7dQmnd15ApVbR791eXD58jTsXg5H0EhcPXuXgr8eNDblysi/O771sclzpEd1a7Z3tSIpNNhl7YVxf7gdGsmvtfmSgw8BWjF76JlY2loyY/xqZaVm4+bogioYYldKeNXHj5C3iczVqkyUZbWYWp3dc4Ll3e5rPsFLKxQPX8mQG5QhdC40FI78cwsgvh5jLvHJPaGioybRIfl6LwuCzzz5j48aNHDhwACurp5vSeRrKvbgAsLTSsPDALHau28+it1bmiVR/mOS4FNZO2cj303+hVsvq9B3ZgxbPNC6UaopFQXJKBhs2nSD8fgLh9+O5HRiNSmXI1oDHmPZ4iMq+Lsyc8BzpmVq83B1xcrQpGsMLkYToRBKikvCs4o6FRs3P837n7O6LBqH44XP8MH0jFw9cAwxTD9Ua+nHnYrChYqVWz5Yl202OJ+kkUuJTEVUi8n9EbOVUlcypxinL8NbnrxMVEsPfa/YiCNDn7R68NKk/oigy5qsRyLKMheZBobfSJmIfB7Um7+1HlvMfV3hA7P14Dm0+ji5LR4tnG+NXx/BG7OBiT1JMstHzJYgCjm7lp2hTUVCY0yIODg6PFXPh6uqKSqUiMjLSZDwyMhJPT89/3XfBggV89tln7NmzhwYNGhTc6EKg3AZ0PuqPnJKQypyXF3F258UnO7gAtbKLGXUc2AaPym5mC5yTZZmg4BhWrjnA/YhE4uJTSUvPQpIfegwK+fye43UQTIOch73UhiYN/RBFqOXvhYVFyZn/liSJ+MhE7CvYorHScPHgVQ5sPIoginQf3JHT/5znx9mbQQZbJxvqtqnJ6X/OI8uGKqCQUyvnKW8i2Zfu4cOIosDUzR+yc90BZFmmx+COdHih9VN9VllAm6XlvZaTCbwSiqSXEFUijq72fHN5IY6uykMxP8Ju3ef91h8by3GLKpG52z+mSbcGHP/zDNOf/9z4nRYEgc/3TKd++7IzjZub4gjo7NBuWqEEdB46MuuJAzpbtGjBsmXLAMM9rlKlSowePfqRAZ2ff/45c+fOZefOnbRq1eqpbC4MFHHxCK6fvMnC4SuNud9PiqWNJfXa1aJe21o07dGAijW8jel+hU1iYhpR0cmEhcfx9er9xMQmQ/YNxqTuBOST2ZH7d8G47OhgzUfv90Qlivh4VaBSRfMFBiXGJJEQnYRnZTckSeb3JX9z73YEfnUqUq9DbWa98CUxYbGo1CJdX+vAru8PGNNbJUk2CWLLHRxpHBIM/yf/W/dCAdRqFZIkG7wQooDKQkXzHo04/ucZwFA+u0bTqlw9FmByLCd3RzZHfFtIV6N0kpWRxY8zN3Pl6A2cPZ14ffqLVK7rS1JcMt9N3sDtC4F4VfPkzU9fwbM8NcZ6Qma9+CVHfz9lnP4QRAGvKh58f8vwELp2PIADm44higLdh3Qq03VByrK42LRpE0OGDGHVqlW0aNGCxYsX88svv3Djxg08PDwYPHgwPj4+zJs3D4D58+czbdo0NmzYQNu2bY3HsbOzw86uaJ47/4UiLv4FWZY5t+cSX49bR/DVsKf6bEEU8PBzo2INLxp0qItXVXea9WqE2kJdoFoaly6Hcvt2JIHBMfy941K2iMi2G/JND/0vr0XzJpV5ZWBLJEmmpr8n9nZFN1+n0+pQW6jR6/Wc23OZxOgkarXwJzM9i5/m/kZiVBKNOtdDr9cbsiJksKtgSwUPR8Jv3kcQBfR6CbWFGkkvmcY2PCwg8hEUuREEIY/XQqUW0esMUxlCtlAbu/ItNn2xjXu37uPi48KEtaOo2bwaG+ZuISY8lpZ9mlKlXiXeb/0xWZlaBAT0ej2Tf3zfWA2xPCLLMtP6z+fk9nPIkoyoErG01rDq4gK8qnj89wEUjIxuOYmA03dMxjRWFmxP22Ami8xHsYiLtlMLR1wcnf3Edi5fvtxYRKtRo0YsXbqUli1bAtCpUycqV67MunXrAKhcuTLBwcF5jvGooNHiQBEXj0lUSDTfTfmZQ5uPPzJ1taC4+jjj4eeGR2U3KterhI29NfU71EabqcPDzxVHVwd0Oj27dl3l+InbREQmcDcw2jB1IWNaVyL3dEY+AkMQHgQ/i6LAm4Pb0bCeL9ZWGqpWdjO6VJ8EWZaJColBm6nFq5oHYQH3uHToOraONjTuWo9fv/yL4GuheFX1wL9RFVZ99APJsSlUqu2Djb01N07dNtijEhBVqrxiIff5FNK39eHumtWbVOXWubsAqNQqJv80Bl2WjqPbTqGxsuC5d3pSp3VNwOCiFEWR1KQ03mv1MWEB94xFrd6Y+wodX2zNzrX7ycrQ0vq5ZsauoOWViKAoXq86ymRMVIm8+skABs940UxWlWwuH77Ot5PWEx+ZSIOOdXhn4RBsHW1ZOupbtq/ebVI2vlYLf5YcnWtmi4uf4hAXHdsUjrg4eOzJxUVpR4mcekzcK7kx6Yf3eX/FCI78fpIti7ebdLV8GmLC44gJj+PqsQCTcRnAzxO5kieyKIAoGtSE6lHltXNHZsrZi8KDWADA3taSYf2akBqTRKVq7vj5e3Fh3xWs7ayw1NXg+LbTZKZn0ahLfa4cvk7ozXC8q3ni6OrA/o1HEEWRJt0acGDjUcJu38e7qicOLnZcPmzItHGt6Ezc/QTjzU9jrUGXpTNOJci5PCyhN+491DBJRtL/i3B7zEud2xMhCGDraEtaUhqiSkSn1dP3nR5EhcRwbu9lbB2sGTbnFXq90ZmLB66SGJ1EjWbV8K5mCJzq+mpej0NOtsafX+8i/KbhHHKqZa6d+jO93+7GsDlK+eQcsrKLeuVGEASyMv69OFh55e6lYD7qNhO9XkKWZCKDo4kIjOKLvdN589OXuX3+rjHl1NXHmY++H21mixUU8qKIiyfExt6aHoM70WNwJ/R6Pbt/OMShzcc4u+eSsZtkQcmRBsZnqJcLchVvw3J+D1ZDRKLhd0kGSQ8qlSF04nY4kpczWFogXglCiEkEtYo0nZ6vfjtiPIRgTD+Vje5/QYAfZvyCIAiIKsP0Q+7Pv3jgqlEoBF8PNVkXE5arpTqYtPA2CrGc/xRGAGV2rIRKLSLL4OjmgG9Nby4dNGR+tO7XnDFfjWDPj4eIi0igdsvqdBjYOt902cZd6j/R58fdjzd4QKQHVV5lSSY+MhEH55KZOWQOfPw98a3lQ/it+0bRKeklWj/X3MyWlUz2bTiMLD+IFZL0EhcPXCUyOBrPyu4sOjyb2+eD0GZq8W9cRWlRUJQoXVELjCIungKVSmVsO63X6bl3J4J9G45wYd8Vrp0IQNI//pdKFgUESUa21CBkGh7IkovTgy9mzsMwLQNsrQwBm9mCgQr2CBExCHfvI1fzhrRMVEERqIIiTD9El7fUee4HfM7NTM61Tq/L/xweFgpFgagSUKlVhtgHUUCv1dOyd1Mu7L9MZloW1vbWTFo/htjwOK6fvEkFd0cGfNAHJ3dHkmKTEUTB+JB/cUK/QrevRrNqJr08BFHAxsEaz8plr0X8k3B290WObTuNxkrDM8O7UqmWD5/t+ITPXl/G9RM3cXC1591Fw6jbpqa5TTU78ZEJhAbcw72SqzGQVc43aOrBv1WVSkXNZtWK0cryiyAZfp72GOURJeaiiNBpdSTGJHFs62lunrvL6V2XiI9KQtJqDYJAq0O2UINeMvw42kFiCjjZISQYqoVKdaqAm5NhhiMxGZwcICkF4X4Mcp3KCOExcDMUvF0gPQshLulJylUUHw/FShjjHQSwc7I1lsJWqUWeHd6Nw1tOkByfSr22tXj/qxEc23aa+IgEarWsTqdBbdBpdSREJVHBw7FY033Dbt1n4YiVBF0JwauqB2O+HsGudQfYtmIHADYO1szaNpGGHesWm00ljZ3r9rPgja9QqVWAjMpCzdJjc8t01kJB2fvTYb54Y4Wxv9HQWS/x6pQB3Dx7h/dbf2zMdBJVIjVb+LPkyJxSWaCuqCiOmItOLacUSszFgZNzyl3MhSIuCpmM9CwiIxI4deQ2N66FceFsMMnJGYDBO0FmlsELkaVFTk0He2sICEauWRkhIAhUIlhbQUwCsoMtNK5hOPCNYGRPF7C3QTxxBVmtQrC0gMRUswiKnGkRQTREkAqigCAI6HV6LCwt0GYa5tmrN6lKQnQi0aGxVPBw5K0Fg7l04Box4bHUaFqNQZP6c+XIDZJikqnZvBoVa3ib4Wz+m9SkNN6sM5b4yERjTQYrW0vWXF2ENktHYnQSvrV8sHUo+QXFipIX3N8gMeZB5VFRJdLu+RZM/eVDM1pV8ogKiWaw/+g8BfsW7J9Bw451ObfnEqs/+pGEqETqt6/NeyuGK1NtD1Es4qLFJ4UjLk7NLXfiQpkWeQokSeLuzUiuXQjh/Mm7BAdFEx4WZ/A0CIIh8DI7LsKo4Cw1D/5rbwsi0MyQTSA3qQUpaYZ1Lo4IaRnI4dFYujqgqe6DXWw8KVfuoapgiy5TR1piKiq1iKSXDTETucpyP25mRe423bZONqQmGMpZO7o5kJmWSUZqJpY2Ghp2qseVI9cRRUMtidTEVEJvhONXx5feb3Xj1D/n0WbqaP1cM7yreRBw+g52TrbUaVMDlUpFVqYWjaWh4mS3V00bJjXv2ajAf4Pi4tqxAGLvxRuXJb1EWlI6p3dc4Jk3uyopldmkZJdDz0HSSyREJz1i6/JL0NWwPMJCEAVunwukYce6NOnWgJXnvjCTdQpGzNRyvSygiIvHQJZl4qKSuHk1nKtng7l1LZygO1EkJqYbRAQYHubZhZuMy7n6dWQfyLSMoyCYJnioVeBkj0ol0qJrPVq28se3kjMNG1bK4w6VJInkuBTsnGxJjk8hMjgGr6ruxIbHER0Wh18dH6LD4ogNj6NKAz+S41K4fzcSvzoV0VhZcPdSCG6+LvjW9ObmmTtY21lRq2V1wm9HkJmWSeW6vogqkYSoRJzc/3v6ISdNM4fWfZuZLOcIi9KKIIr5jouq/MfLK/Xa1uLy4esPijwJAo3KeDfh/+L4n2c4+MsxxOxpv3pta+GWT1E6WZJxLcW9YhQUcqOIi1xkZWgJunGP6+eDuXMtnMCbkUTdjyc5JQtZyp7WAGMqKLlbQOe4DfKbE5Vlg9bI7VoQRaP+sLe3omETP6rX8KT/gOZYWVkYK0w+ClEUjSWSc3fCdHC2p0p9PwA8/EwrHeYOoMvpRwDQvNeDluh+tSua7OPqU35vdvGRCVw+fB2NlYY6bWrgU92L+4GRSDoJlVrEroIdrfo0NbeZZiMxJon9Px8lIy2TZj0b4t+oCpPWv8/Uvp9x+3wgAJ1fbsvLHz9vZkvNR04MiigKIAjs+fEQn+2YQpNuDeg3qhfbVuzIDlrW06R7A9o938LcJivkojB7i5Q3yqW4+OjZT9FnCKSlZpGeoSVLK6PPKUYlCiCqDCmeObUlBPIKiX8jt0ciR3DkjAFeFStQtboHnbvVpZKfKxUruZSoXh0KEHD6NhN7zDZ2Pa1U24cZW8azfvZv3L0UhLe/F+8sHFJue2BEh8UyusUk4qMSEQSBtVN+Zuov42j3fEtWnP6M2HvxWFiqy2TDtSfh++m/ADldcw0xShs+3UKTbg0YtfQNmnRrQODlENz9XOnycrvsQFiFEoOSilpgyqW4uHUhBLXaGtQqRJXKIBxEMVtciA9VvBTyioT8kLKLW2UXpRAEAVkCtUZF5Wru1KzjTZuOtahYyQUvnwrFcJYKT8P8IctIT8kwLofdvM+25TuYsvEDM1pVclg/azMJMUnIkmzoCivAordW0e75loiiWKpbwReUjLRMkmKScPaqYJxGTE82jUGRJZmUBEN2lCAItOnXnDb9lHofCmWPcikuBJXKMIcuisiCYAh5eFhdGgtdZrsgcqZEZNlQP1sAsrMljHtK4OBsTf0mlanb0JdGzavgU8kFK2tN0Z+UQqESfivCpDy4pJcK3MSuLBIdFmtaNE6GpNhkY8+Y8sa2FTv4etw69Fo9jq4OzPh9AvXa1qL5M405+MtxkxiUVr3L71RaqUPmQb+EpzlGOaT83QUwLRyVxw8hZ4cHSzzI9hAEkKQH1TCzBYeTiw2V/D1o2KwKDVtUoVZ9X9TK9EaZwKuqO/fvRCFJD3o4+Nb0MbNVJYfqTapyZtdFYzE1USVSsYZXuRQWlw5dY/l7a4zLSXHJTOk7j58Cv2LM12+RlpTOye3nEATo+UZnXpv2ghmtVXgSlJiLglP+7gTkCArZIBgeDsSUZBAlEFTZv4NaLeLsbk/V2j7Ub1GVBi2rUKmaBxpNubx8ZZKrxwL47pMNxEck0LBzXd7/agTT+39ORmomAB5+bgyb85KZrTQPsixz8cBVwm7ep2INLxp1rscrn/yPayducmHfFcCQulxep4wuHbxm7KILhqmP1IQ0gq6GUbdNTeb8OZmMtExElVjqs6YUFB6Xcvl0lPV6ZEFCQEBGb8zmsLCyoIK7I5VqeVGrcWUatK5O1To+2NoXXetxBfMTeDmY8V1mIOn0SJJM+O0Iwm9FsObaYi4euIrGSkOLZxphbWdtblOLHVmWWf7+Gv5YsdM41v/9Zxi1+A3m75rK3UvBZKRmUq2hX7m4Pmd2XeTYVkOn3GdGdMOvdkUcXOzzLfVv72xn/F3p/1FKkSmEgM5CsaTUUS7FhbW1hjota9CoYx2adKlH5dreWNkqAqK8smf9YWRJyo7oN8RXnN97GWSZ7q93NLN15uXq0RsmwgJg69J/6DyoLXVa18S/URUzWVb87PhuH18O/xqVOrsr7qrdLDk6h66vtWfLku3cvxtprFLb7bUO+NYsmdVmSzsRQVHMH7yMK6dvFP2HKdkiBaZciosNd5eVqzKsCv+OLOVE6JqSIzbKM/fvRuU7fu9OZJ7CaWWdbyauB3gw/SHr+PnTLUz95UOWnfiU35f8TUx4HDWaVePZEV2VPiBFgDZLy8Tus4gMjkan1ZrbHIV/oVyKCwWFyOBorh2/iZ2TDW3/15LfFm83pA/LhkZRNZpVxcOvfHc3BUN9jycZLytkZWpJiEyggqcTFhoLZFkmNTHVZJvcpc3tK9gxeMaL5jC1XBF8NYx7dyKL7wPzf+948mOUQxRxoVDuOPXPeWb873O0mToA6rSuwbTNH7J2ys8kRCfRoEMdxq58q1y+ecZHJnBh/1XUGjXNejSgZnN/Bk9/kR9m/mLcZsjMQdRoWnZbfh/YdJQv3viKrPQsrO2t+eTnsbR8tgn12tXmypHrRs+FIAg07lLfzNaWXSRJQqfVmwTBWlgW7yNLyRYpOIq4UChX6PV6Pn11MbosvXHs+slbBF0J5dsri8xomfm5de4uE7rONFYl9azizuIjc3h9+kDaPt+C8FuGbJGc8vJlkeBrocx7bamxLkVGSjozX1jAuoClTFr/PtOem8+tc3cB6Ppqe16a1N+M1pZNZFlm/axf2TBvC7osHQ071+WTnz+ggrsjvrV8aNS5HpcOXQOduS1V+DeUrksK5YqkmGRSE9JMa50IAqEB4Wa0qmSw4I2vTKqSRoXG8O0kQ5xB1QZ+tB/QqkwLC4Crx26aFE+TZdBmaAk4fQdXb2dWnP6Mn8NW8Vv0d0z84b1yWdejqNnx3T5+mPkLuiyDerh86DpzXlwIGHoqzfpjIs+/9ww1mhWD9ywnoPNpf8ohyr8MhXKFg4s9Ng7WpCWnm6SI+VT3Mp9RJYTwW/dNq5LqJEKuhZnRoqLl9vlA/vhqJ1mZWbR5rjkdXmhtkj6aG4fscUEQcPXO29FUofA49c95Y/wTGGJbLh26RlZGFhorDda2VoxcOJSkpCRWOy4sWmOUbJECo4gLhTLPmV0X+WrMd8RFJlC7VQ3eXTKMxW+tQqc1TI34N67CCx/2NbOV5senhhdBV0KNAkNUiVSqU/E/9iqdBJy+zdh2U5BlGVmGvesPM2rJGzz7VjdqNKvGrXN3EUURSZJo3KUe9drXMrfJZQ69Xk9MWBw2DtbYV3gg6qztrAxtFXLVDlFbqFAp1Y9LFYq4UCjT3LkYxJQ+nyJJMrIkc37PJWJCY1l96UtunLqNnZMtzXo2xEJTvionyrLMpYPXiAyOpmoDP/wbV2H8mneZ0G0mqQmGmAsPPzeGf/aamS0tGjZ9vg1JL5mkG6+bvpH+7z3DlwdmsmXxdu7fiaBS7Yr0e+8ZVCrlwVaYhNwIZ0qfedy/a8j8GDC2N29/OQRBEPjfmN7s33gUMFQ7lWWZQRP7m+dvoHguCowiLhTKNEe2nAQw9sDQ6wwNyHRafbktkCXLMl8MW8HuHw4ax976/HUGjn+OtdeXcPGAIVukafcGZaLqZmZ6JkFXQtFYa6hc1xdBEEhJSM1TxyQjJQNZlrGyseSVj/9nJmvLPrIsM/W5z4gMjjaO/bZ4O351fXnmza74N67C0mNz2bJkO+nJGbR4pjHPDO9qRosVCoIiLhTKNCq1Kt8XB5W6/L6JHv/zjImwAFg98Ufa9G+Oj78XnQa1NZNlhU9oQDgTe8wmOjQWgKbdGzBz60c079nIUIU1G1El0rhr/XKZflzcJMYkce92hMmYqBK5dOgaz7xpEBHVm1Rl4vfvmcM8U5Q6FwVGERcKZY7Ay8Ec+vUEokqkTusaWFhaoM3UIuklRJVI3TY1qVij/AZwht+8b4wnMCIbqm76+Jet6zLnpUXE3os3Lp/be5mf5vzGkFmDiAyO5o+vdyJLMnXb1GTiDyXgYVbGuH83ksjgaHyqe+FW0QUAG3trRJVoEjwsCODoYm8uMx+JUuei4CjiQqFMcX7fZT5+Zq4xUE+tUfPBqrfZ+9NhYsJjqde2FsPnv4Yolt8s7Io1vU2FBYAAPv6e5jGoiJAkicBLwSaeK1mSuXHqNiqVitHL3uStL15Hm6XD1sHGfIaWUX6e9zvffbIBMHgmxq58i2fe7IrGSsOQmYNYO+XnbM+ijI2DDf8b29vMFisUJoq4UChTrPzwe/R6yRhjocvSseO7fSzYN8O8hpmRuIh4Tv19HgSBlr2b0KpPU3oM7cSudQeM27z9xWC8q5VecZGalMbqCT9w+fB1XLydGT7vVWo298fRzZGE6ERj2rGoEnHzdTHup7HSoLHSmMnqssvVYwFGYQGGdNJFb6+iYae6eFfz5JWP/4dvLR/O77mErZMtz73b0+jZKFEoAZ0FRhEXCmWKuPsJRmEBhptazL04M1pkXu5eCubDTtNJSTD0xXBwsWfR4dmMX/MuvYZ1ISokhir1K1G1QektjiXLMlP7fsbVYwFIeonwWxGM6zSdlec+5/2vRjBn0ELjdvYV7Hh92kAzW1z2uXMhyBCr8JDXKOhKqFHEtv9fS9r/r6VZ7HtsJBmEpxQH5bQBoiIuFEo96akZ3LsdgZO7I3Va1+DE9rNIuge1Guq2KV/dO3OzbPS3hoJh2aQkpLJizHfM3zmV+u1rm9GywiP81n0uH75uXJb0ErosHfs2HGHIzEEsO/Epp/+5gKWNhi6vtMPZs4IZrS1bZKZncuLPs6QmptGgYx0q1jC0mXfzdTERFjm4VlQKkJUXFHGhUKq5dOga0/rPN9Zm6D+6F5Xr+nL3YjAAtVr4887CoWa00LzcuxNhWnVTLxF+674ZLXo6ZFnmzK6LBF0OwbOKO22fb5EnpRQMAYI5HqwaTauV6UZr5iIlIZWx7acSfDUUMBS6mvbreFr3bUbL3k1o/Vwzjv9xBlEtIukk+ozsXvr+Dsq0SIFRxIVCqSU9NYNp/eeTlvTgzXzr8h1M2TQOvzoVEVUiFWt4levgzSr1/UiMTjJ28lSpRao2qGxeo56CVeN/4LdFfyGKApIk06Zfc6b8Mo5qjSoTeCUESSchiAIg0G5ACXe5l3I2fvY7oTce9OTR6/TMH7yM3+PWIYoi038bz6HNJ4gIjMKvbkVa921mRmsLSmH0BlHEhYJCqeL+nUijxyIHlYWKm6dv03FgazNZZV5O/n2Om2fu4OrjTNfXOjDm6xF82Gm6sc6Da0UXRi97w8xWFoy7l4L5bdFfAEZvxbFtpzn993nm/fMJi95exbVjAVTwdGLkl0Pwb1TFnOaWee4HRpk0AJRlSE1MIzUxDTsnW1QqFZ1fKjs1UxSeDEVcKJRanNwd8oxJegknD6fiN6YEsGbyT2ycvxWVWkSvl/jn270sODCTb68s4sqRGwgC1GtfG2tbK3Ob+ljotDriIxNxcnfAQmNBVEhMnm0EQSAyOJo2/Zoza+tEM1hZ9rlzMYi96w8hy9BpUBtqNvcHwK92RY7w4L1cEAUcXR2wdSxDab3KtEiBUcSFQqki8EoIS9/9hvBb96lc15c+b3fnr1W7UVmokPQSPtW9eHZE+SsVfD8wko3ztwIYp0BunLrFnh8P8ezwrrR4prEZrXtyTv1znrkvLyItKR1LGw0T1o6mRtOqhoZWUu63ZZmqDUtvpktJ5/Lh63zUbabx+bhlyXbm/DmJ5r0a8+JH/Ti/7zJXjtwAwNJaw5RNH5StKqeSzFNPayjZIgoKJZv4yAQ+7DiN1KR0JL1EUmwyQdfCmPTje9y9FEIFD0eeGd61XBZEirufkGdMVKmIDS99abhRoTHMGPAFukwtAJnpWcx7dTGrLy1k7Mq3WfLOamOQ6qtTBtCwY11zmlumWTP5J5O6MYIg8M3E9TTv1RgrG0sW7JvB5cPXSUtKp1ZLfyUTR8GIIi4USg1ndl4kOT7VuKzXScRHJGDjYMOI+WWze+fj4lvTG42VBVkZWuOYXqenetOqZrSqYAScuo0213kgG/7WV4/e4NnhXWnWowEhN+7h4eeKb00f8xlaDkiISszjKUqITjIuq9QqGnWuZw7TigdZMvw87THKIYq4UCg1GLIA8iI+YrwskxSbzG+L/iLufjw1mlXj2be68cnGD5j78mKy0rMAeGlif1r1aWpmS/+dxJgkVn/0I3fOB+JVzZMR81/DroJtvtvaVbADwL2SG+6V3IrTzDKNLMv88dVO9m88gtpCTb9RvWg/oBUADTrV5X5glNFTJKpEGnSoY05zixcl5qLAKOJCoUQTH5XIlkV/EReZgF8dXxzdHEiOS0HSS6jUIi7eztQvTzc7DPUFRrWYRFRIDIIAO9bu59qJm3y0bjQ/h6wk5EY4Lt4V8KriYW5T/5WsTC3ju8wg5Ho4kl4i8Eoolw9fZ9XFBTTqUo+LB64iZsdY+DepSsveTcxtcplk0+fbWDP5J8OCABcPXGXa5g9pP6AVI78cQkRglLGDbO1W1Xn/q+FmtFahtKCIC4USS1JsMu82m0jc/XgEweAa7zCwNenJ6YTdvE/lepUYvXQYNvbW5ja1WNn9w0Eig6NN3NV7fjzEa1NfwMffi3pta5nRusfn+ombBF0JNS5LeonE6CRO/nWOuds/ZuvSvwm5Ho5XNQ/+N7Y3GksLM1pbdslJ7wUMsYsC/L70b9oPaIWNvTXzd00lOiwWZBk3X9eyFbD5XygBnQVGERcKJZYd3+0j9l6cyUP00Obj/BT0Vbl2iyfHpSCKAvqHblrJcSlmsujxOL3zgqEOhYcT3Yd0RK/V59lGEECv1aGxtODFCf3MYGXZRpIkBEEwEQg6rc50I9ngVcpBEATcfV2Ly8SShTItUmDKb+lChRJPcnxqvtU1cwd1lkcadqprTDcFQ8yJfQU7/OpUNKNV/85Pc3/j42fm8vO831n+3hrea/UxfnUr4uJdAVFl+BuLoojGSkOzXo3Ma2wZJD0lnTkvLeRZq1foY/caayb/hCQZvkOdX2qbJ56py0vtzGGmQhlC8VwolCiyMrWc+PMMSbEpePi5odc9eLsVVSIOLvZUrOFlRguLn7O7L/LLF9tIS86gbb/mDJzwHKOXvcnX49ah1+pxdHNg5taJWNuVzOmhhOhE1k3bCGD8e4ZcD2PfhqMs2DeDL4atIPByCB5+boxd9XaJjxUpjSweuZrDv51E0kvodXo2zt+Kg6sDAz/sy8iFQ5EkmQMbj6JSi/R/71meH/OsuU0uGcgUgueiUCwpdSjiQqHEkJGWyfjOMwg4fRswZId0ebU9BzcdRa+TcPZ0Yta2iVhaW5rZ0uLj4oGrTO41FzBE9d84dYuEqERGLhxKrzc6kxyXQgVPJ1QqlZktfUB6agZ3LgShsbKgWqPKxEcm5rnBqlQisffiqFjDmyVH55rH0HLEsW2nTRrYGcZOMfDDvmgsLRj79VuM/fotM1lXglGmRQqMIi4USgzblu/g1tk7xmVZkjn86wl+ifgWbaaOCh6O5a4J2Z8rd0KuDp/IsG3FDt5aMBhLa0ssfUqW0Aq5Ec7E7rOIyS7eVa9dLab/+iG2jjakJaUbe1HotHpjGWmFwiMrI4vb5wMRRJHqTaqgtjDc4jXWGjJSM43bCYKApU3J+u4olC3K151aoURz/24kgsr0K6nN1JKakIaLV4VyJywAtJm6PG/9Uq6KiSWNea8uIS4iwbh87fhNNs7fxvTfxmNl9+Bh1v+9Z+g0qI0ZLCy7RIXGMKLBh4xpO4X3W3/M6BaTSIwxFLx6aeLzho2EB/ViXhjX11ymlh4kqXB+yiGK50LBrMiyTNjNeyRGJ+FZ2Q0pV6CiIICVrRUu3uWrpHDO270gCHQc2Jpj204b14kqkTb9m6NSl4xpEEmSkPSS8Q357qVgE/e7pJe4efYOI78ckl2D4x5O7g5KXEURsHDE10QGRRmXA6+EsnLc90z84T1eGNcHBxc7Dv16HI2lBX3f7UWTrvXNaG0pQZkWKTCKuFAwG5Ik8eXwr9m17gAAVnaW1Gzhz42TtwBQW1rwyc9j0VhpzGhl8aHX6flm4nr+WrUbWZLoNrgjo5a8wai4FDbM3UJmWiat+jZlTAmYG5dlmR9m/MIvX2xDm6WjafcGTF4/BmcvJ2LD440CSVSJePgZ0oZtHW2p3bK6Oc0u09w6G2iSRSTpJQLOZMcvCQI9h3am59DO5jJPoZyhiAsFs7Hr+4NGYQGQmZZFyI0wPt8zjfTkDKo3rYpbRRfzGVjMbJi7hS2L/zK+6Pzz7V40lhaMWvIG/Uc/Y17jHmL76j2sn/2rcfncnsvMe20JY1e+zfT+nyPLMrIsY+9sx+AZL5rR0rJHRFAUe386jC5LR+vnmlGjaTUA3HxdSIlPNaaYiiqxXNeDKRQUz0WBUcSFgtm4dfYOKguVsZiSLMmkJabj5utKxerlK90U4ODmYyb3IVmSOfTrcUYtecN8Rj2CE3+dAQFjPIiklzi3+xJz/pzM1+c+5/Q/59FYaeg4qA0V3B3NamtZIuhqKO+3+ZjMtCwEATZ8uoUZWybQum8z3ls+nI+6z0KXqUUGrO2seHvBYHObXLpRKnQWmFIhLoKCgpg9ezb79u0jIiICb29vXnvtNT755BM0mvLhMi9LZKZnkhSbgrNXBeSH0uNEUaCCu4OZLDMvGuu83+WSMCUUERTF1+PWEXItnEp1fHh30TCs7awQRdEkvkJtaYGoEqlSrxJV6lUyo8Vll3XTNpKZlmW87oIgsOL972jdtxl129Rk9cUFHP/jDKIo0v6FVuXK86dQsigV4uLGjRtIksSqVavw9/fnypUrjBgxgtTUVBYsWGBu8xSegD9X7uKrMd+h0+pxdLHHrZIrUcExiCoBvU7irS8GY+uYf1fMsoZOqyPwcgiCIFClfiVeHP8cc19ejCA88KSauwR2amIqH7SfSnxkAnqdxL27Edw8c5eP1r7L4d9OIqpEZElClg1dWMtV3wkzEBMeZyLoZFkmPjLBuOzj76VkgRQisiwhP2XL9Kfdv7RSKsRFr1696NWrl3G5atWqBAQE8PXXXyviohRx5ch1lr77jXE5KT4FrU7HyC8Hk56aSb22tWjYqa4ZLSw+4iMT+KjbLIKuGhp3VWtYmfm7pzL9t/H8/e1eJL1E99c70vXV9ma18+zuS8aaFQCSTiImLJaUxHQWHZ7N1mV/k56SQeu+zej1RhczWlq2uHosgDUf/0R8ZCINOtbh7S8GY2NvTd3WNbl15g5StqtdVIvUUoJkiw5ZfvppDSXmonSRmJiIs7Pzv26TmZlJZuaDwjFJSUlFbZbCv3Dx4DVUatEY0Z4TY1GzRXXqtqlpZuuKlyXvfENoQLhxOfBKCCvGfMfHP42l3fMtzWbX8T/PcOjX46gt1PR+q1ueqo45SHqJ2i2rU7vlmGK2sOwTeCWE8V1mIOn0SJLMvdsR3L8dwfzd0xg65yUCr4QYW6B7V/Vg4vejzWuwgkI+lEpxcfv2bZYtW/afXot58+Yxc+bMYrJK4d/QZmmxr2CHpM+r4u0qlI9pkNzcOHUrT9rg9eO3zGgR/LNmLwtHrDQ2Etv9wwGm/ToeBxd7UhJSkfQSokrEvoItjbvUM6utZZl9Px1GliSjd0LSS5zfd4WokBg8/NyYv2sqYTfvocvS4VvLx1hjpLwgSRK71h3g4tHLRf9hciEEdJZTz4VZSx5OmjTJ2P73UT83btww2Sc8PJxevXoxcOBARowY8a/Hnzx5MomJicaf0NDQojwdhXy4djyAV6u8y7NWr/DjzF9w9nJCVImGIlCCoSNjpVo+5jaz2HH1cUbM1YlSVIm4+Zo3+O77aZsAw8NM0hsebn+t3MWXB2ZSq2V1HFzsqd2qOl8emImDi71ZbS0rZKRlEnIjnNTEB51+Dd6ivLEruYM4fWv6UKW+X7kTFgBL3v2GL4d/ze4fDxX9hykVOguMWb+ZH374IUOHDv3XbapWrWr8/d69e3Tu3Jk2bdqwevXq/zy+paUllpZK/XxzER+VyORn5pKRkgFAYkwyKguRviN7kJmWiX+TqvQZ2b1cBAGG3brP4V9PIMsy7Qe05N3Fw5jQdSa67DRcC42at78cUmz2aLO07Fp3gKiQGKo2rEyHF1qRmpxuso0sySTHp1K5ri9LjswpNtvKCyf/PsfclxaRnpKBSi0yaumb9B3Zgw4vtuHXRX8hCAKyLCOqRGo0rYpHZaVmxf27kfy9eg+AMYVdoWRiVnHh5uaGm9vj/YMJDw+nc+fONG3alLVr15bLPhOljevHb5KW9OCBJcsyuiw91RpV5pk3u5rRsuIl4PRtPuw0HW2WDoD1c37liz3TWXVhAYd/O4kgQIeBrfGu5lks9ui0Oj7qPpurR64jqg11Rnq/3Z1mPRqadM8UBIHmPRsVi03ljdj78cwa+CXajCwA9DqJpaO+oXqTKtRqUZ05f05i9YQfiY9KpEGHOoz5ekS5uudlZWRxZtdFMlIyqNeulrEYWFJcSvEaokyLFJhS4VMLDw+nU6dO+Pn5sWDBAqKjo43rPD2L54as8GTIsoyVnVW+66xs8x8vq6wc/wPaTK1xDh1Z5usP1rL85Ge8PPn5Yrfn0ObjXDl8HXjw9rd91W4WHZ5FWnI653ZfQhCg5xudeeWT/xW7feWBuxeDyErPMhkTBIFrx25Sq0V1mvdqTPNejc1knXlJTUxlXMfp3L0UDICltYbZf06icZf6VKrljV0FW1IT06AYHBeyJCELSipqQSgV4mL37t3cvn2b27dvU7FiRZN1cjlVhSWVhOhE5g9exvl9V7C2tcS9kqsxN19UiXhV9aBV36bmNrNYiQmNfSAsAEmSTdI7i5r4yARO/XMeQRBo8WxjYu8nIIqCiU0AGalZzN85lbTkdFRqEUtrZUqxMAi8EsKxbadRqVV0fqktHn5uOLrlLRQnS3K+4+WNDXO3GFO0AbIytcx7dQmb7n2DtZ01c/+azLR+nxMbHWtGKxX+i1IhLoYOHfqfsRkKJYOZL3zJtWMBSHqJlIQ0UhLSaNO/ObosPd7VPHh92kCsy5nnonbr6kSFxhinG4qzNkHglRA+7DiN5HhDwKCjqz0jFw7NIyzUGjWV6/kCYGNvXSy2lQfO7bnEJ70/NV7vDZ/+xpIjc6jepCqdBrXhwKZjqC1U6PUS/o2r0P6FVma2uPjQZmm5dycSOydbXLwedD4Ou3XftFCYJBMfmUhmehZWNpbUaV2TjeGruHs9iJoNtxWtkcq0SIEpFeJCoXSQkpBqdLfnIKpEbB1t+Ght+cnFP7DpKL8s+IOs9Cw6vNCakV8OITTgHrfPBQLgV7siY77690ynwmLZqG9JzRX3khyfyu4fD/LmvFdZ8/FPIIOFpQWT17+Pq/e/141ReHKWv7cGvV5CzhYXmWlZrPl4A3P+nMyk9e/TuEt9Ai+H4O7nRt93eqCxtDCzxcVD4OVgPn72U6MHr/db3Xj/K0NcScXqXoiqB6XlBVHAyc0By1zl8dUWajwruxe9oZIMgiIuCoIiLhQKBVmWUVmoTEpXAwgCaCzN3x+juDi85SRzX15sXF4/+1fSktNZfmIeQVdDkWWZKvUqGVJxi4Dw2/e5eykEF+8K1G5ZnfDbpm+Bkl4i/NZ95u+cSrfXOxATFou3vycOzkpqaVEQez/eKCzAcP2jQw3ufJVKxbMjupnLNLMhyzJT+80nLiLBOLZ99R6qNapC35E9eOWT/3Fm10VjzIXG0oLJP40pF1llZQlFXCg8FbIs88OMX/ht8V/osnR4VfPg3p1IkA1NyARRpM/I7uY2s9j459s9Jt1CZVnmr1W7eXvBYKo1rFykn71j7X4Wjvja+DDrPrgjletWIiE6CSm7YJdKLVK1vh8Art7OireikLh2PICvxq4lOiyWms39GfP1W7h4VaBmc38uHbxqLJgmqkRqtypf5br1Or2JmE6ITiIyKNpkG1Elcu14AH1H9sDW0ZZlJz7l7O5LpOdki/i6FrfZBmQZeMqAzHLquSg/uU0KRcLWZf+wfvavpCdnoM3Ucf9uFNUaVqZhp7q06d+CxYdn49+oirnNLDYkvZRnilYuhiI6cRHxLH57pclb8u4fDtL6uWY4ez6Yz3b1cWH0spLXwr00E3brPhO6zuLW2bvE3U/g5N/n+KjbTLRZWsZ/9y5eVT2M29Zq4c+I+a+Z0dri4+zuiwzyeYtempcYXH00AadvA2DraINKbfroEQRwcnM0LmusNLTu24wuL7czn7DAEO9RGD/lEcVzofBUHN5ywmRZlmTCbt7nr5T1ZrKo+IkJjyUhOgmf6l50e70jZ3dfMq4TRIFugzsWiUs36Goosffi8KvrS0RglEk5cQCVWkVSTDJrri7i8qFrIAg06FAbazslYLMwObLlJDqt7kG5bp1EyPVw7l4KoWazaqy+9CVBV0JRqVX41a2ISlU0U2IlifDb95n63Gfosgz5opFB0UzsOZvvby7D0dWB4Z+9xqrxP6CyUCFLMg4u9gwY1+exjh0ZHM38wcu4evrGf2+sYDYUcaFQYLIytVhaWxorCeZgYVk+vlayLLPyw+/Zsng7YOiRMnvbRMZ8/Ra/fLGNrAxDQOfwQn5TlWWZZe+t4c+vdgKGTI9RS4aZTMeAwR3tVc0DG3trWvYuX+m/RUVqYioBp++gsbKgVsvqqC3UhjLu+byc5uhJC40F1ZtUzbtBGebCvitoM3XGZUkvkZqQxvUTt2jVpykvjOtLpdoVOb/3MnZOtjw7oisVPJz+87jaLC0fdZ9FZFAUWdqs/9z+qZElnn5apGD7rwH1v6QAABiMSURBVFixgi+++IKIiAgaNmzIsmXLaNGixSO337x5M1OnTiUoKIjq1aszf/58nn322YJa/dSUj6eAQqFyYf8VPnt9KbH34rF3tkOWZROB8eL4fma2sHjYv/GoUVgApCamMa3/52wMW0Wft4suzuTI76eMwgJAl6Xjq7FrGTJzkLE/CEDL3k3o8kq7IrOjvBF4OZiPus8mISoRgJrN/Zm/eyrtB7Tix1mbycrQGuu5VKnnW+QxNiWBA5uO8sOMX0hNSqPFM014d/FQrO2ssbTJv0aKle2D8RbPNKbFM09WKCz4Whj3bkc8lc1PgizJyE+ZLVKQWkybNm1i3LhxrFy5kpYtW7J48WJ69uxJQEAA7u55s2SOHTvGyy+/zLx58+jTpw8bNmygf//+nDt3jnr1zNNkUBEXCk9EVGgMU/rMIytTC0BqQioWlhbUa1fLUMb6hdblJgL+xslbqC1Uxv4gsiSTHJdCRFB0oTZjkySJuxeDyUjNoFqjyty5EIhKrUKve1CiUJupo0m3BjTv2Yhb5wJx9XGmxbONy1XJ6KJm3mtLSYpNNi7fOneX76dt4t3Fw1h4cBYrP/yeqJAYarWszqglw4osI6ikcHrnBZPMqF3fHyA5PoUZv02g9XPN8KrqQWRwtFFw+TeuQr12tZ7qMy005eORtXDhQkaMGMGwYcMAWLlyJdu3b+e7775j0qRJebZfsmQJvXr1YsKECQDMnj2b3bt3s3z5clauXFmstudQPv5S2eQoyKSkJDNbUno5ufMMqWkPOjiiB/RZdHi5FR2yCwAlJyfnv3MZw8pJQ5Y+CymX21MQQLQqvO9YZnomc19exMX91wBwcneg1xtdyNRl5HHFWzlqcPVxxqum4c0mJaWY+zCUYWRZ5s6Vu6bFx3Rw7UwASUlJePi7Mn3bhyb7lPX7zN/rdiGJ+gepzjo4uOUoURFDsbKxZPbOiWya9zsRwVFUquXLS5P6k5aeBun/flyAO5eC+GvlLtJTM2narQHdXuuAIAg4ettTq50/144FoNMbXnCKskqzTs4s8LSG8RgY7Hz4+/CoxppZWVmcPXuWyZMnG8dEUaRbt24cP3483884fvw448aNMxnr2bMnW7dufSrbnwq5HHHnzp2ccmvKj/Kj/Cg/yk8Z+AkNDS30Z0V6errs6elZaDba2dnlGZs+fXq+nx0eHi4D8rFjx0zGJ0yYILdo0SLffSwsLOQNGzaYjK1YsUJ2d3cvlOtREMqV58LZ2ZDTHxISgqOjo5mtMT9JSUn4+voSGhqKg4PS00C5HnlRrokpyvUwxZzXQ5ZlkpOT8fb2LvRjW1lZERgYSFZW4QSNytlxabnJz2tRlihX4iJn/tnR0VG5MeTCwcFBuR65UK5HXpRrYopyPUwx1/UoypdEKysrrKyKvw+Sq6srKpWKyMhIk/HIyMhHdgH39PR8ou2LAyXaS0FBQUFBoYSg0Who2rQpe/fuNY5JksTevXtp3bp1vvu0bt3aZHswdBN/1PbFQbnyXCgoKCgoKJR0xo0bx5AhQ2jWrBktWrRg8eLFpKamGrNHBg8ejI+PD/PmzQNgzJgxdOzYkS+//JLevXuzceNGzpw5w+rVq812DuVKXFhaWjJ9+vQyP9f1uCjXwxTleuRFuSamKNfDFOV6FA2DBg0iOjqaadOmERERQaNGjdixYwceHoZS8iEhISZp5m3atGHDhg1MmTKFjz/+mOrVq7N161az1bgAEGS5nHZVUVBQUFBQUCgSlJgLBQUFBQUFhUJFERcKCgoKCgoKhYoiLhQUFBQUFBQKFUVcKCgoKCgoKBQqZU5crFixgsqVK2NlZUXLli05derUv26/efNmatWqhZWVFfXr1+fvv/8uJkuLhye5HuvWrUMQBJMfcxSRKSoOHTpE37598fb2RhCEx6q7f+DAAZo0aYKlpSX+/v6sW7euyO0sLp70ehw4cCDP90MQBCIiiq9LZVEyb948mjdvjr29Pe7u7vTv35+AgID/3K+s3kMKcj3K+j1E4fEpU+Iip03t9OnTOXfuHA0bNqRnz55ERUXlu31Om9o333yT8+fP079/f/r378+VK1eK2fKi4UmvBxgq7d2/f9/4ExwcXIwWFy2pqak0bNiQFStWPNb2gYGB9O7dm86dO3PhwgXGjh3L8OHD2blz53/vXAp40uuRQ0BAgMl3JL8W0KWRgwcPMmrUKE6cOMHu3bvRarX06NGD1NTUR+5Tlu8hBbkeULbvIQpPgNm6mhQBLVq0kEeNGmVc1uv1sre3tzxv3rx8t3/xxRfl3r17m4y1bNlSfvvtt4vUzuLiSa/H2rVrZUdHx2KyzrwA8u+///6v23z00Udy3bp1TcYGDRok9+zZswgtMw+Pcz32798vA3J8fHyx2GRuoqKiZEA+ePDgI7cp6/eQ3DzO9ShP9xCFf6fMeC5y2tR269bNOPY4bWpzbw+GNrWP2r40UZDrAYY23X5+fvj6+tKvXz+uXr1aHOaWSMry9+NpaNSoEV5eXnTv3p2jR4+a25wiIzExEXjQ8DA/ytN35HGuByj3EAUDZUZcxMTEoNfrjRXMcvDw8HjknHBERMQTbV+aKMj1qFmzJt999x3btm1j/fr1SJJEmzZtCAsLKw6TSxyP+n4kJSWRnp5uJqvMh5eXFytXruS3337jt99+w9fXl06dOnHu3Dlzm1boSJLE2LFjadu27b9WOSzL95DcPO71UO4hCjmUq/LfCv9O69atTRrdtGnThtq1a7Nq1Spmz55tRssUSgI1a9akZs2axuU2bdpw584dFi1axI8//mhGywqfUaNGceXKFY4cOWJuU0oEj3s9lHuIQg5lxnNRVtrUFhYFuR4PY2FhQePGjbl9+3ZRmFjiedT3w8HBAWtrazNZVbJo0aJFmft+jB49mr/++ov9+/dTsWLFf922LN9DcniS6/Ew5f0eUp4pM+KirLSpLSwKcj0eRq/Xc/nyZby8vIrKzBJNWf5+FBYXLlwoM98PWZYZPXo0v//+O/v27aNKlSr/uU9Z/o4U5Ho8THm/h5RrzB1RWphs3LhRtrS0lNetWydfu3ZNfuutt2QnJyc5IiJClmVZfv311+VJkyYZtz969KisVqvlBQsWyNevX5enT58uW1hYyJcvXzbXKRQqT3o9Zs6cKe/cuVO+c+eOfPbsWfmll16Srays5KtXr5rrFAqV5ORk+fz58/L58+dlQF64cKF8/vx5OTg4WJZlWZ40aZL8+uuvG7e/e/eubGNjI0+YMEG+fv26vGLFClmlUsk7duww1ykUKk96PRYtWiRv3bpVvnXrlnz58mV5zJgxsiiK8p49e8x1CoXKO++8Izs6OsoHDhyQ79+/b/xJS0szblOe7iEFuR5l/R6i8PiUKXEhy7K8bNkyuVKlSrJGo5FbtGghnzhxwriuY8eO8pAhQ0y2/+WXX+QaNWrIGo1Grlu3rrx9+/ZitrhoeZLrMXbsWOO2Hh4e8rPPPiufO3fODFYXDTmplA//5FyDIUOGyB07dsyzT6NGjWSNRiNXrVpVXrt2bbHbXVQ86fWYP3++XK1aNdnKykp2dnaWO3XqJO/bt888xhcB+V0LwORvXp7uIQW5HmX9HqLw+Cgt1xUUFBQUFBQKlTITc6GgoKCgoKBQMlDEhYKCgoKCgkKhoogLBQUFBQUFhUJFERcKCgoKCgoKhYoiLhQUFBQUFBQKFUVcKCgoKCgoKBQqirhQUFBQUFBQKFQUcaGgoKCgUOgcOnSIvn374u3tjSAIbN269YmPIcsyCxYsoEaNGlhaWuLj48PcuXML31iFQkfpiqqgoKCgUOikpqbSsGFD3njjDf73v/8V6Bhjxoxh165dLFiwgPr16xMXF0dcXFwhW6pQFCgVOhUUFBQek9DQUF5//XWioqJQq9VMnTqVgQMHmtusEo8gCPz+++/079/fOJaZmcknn3zCzz//TEJCAvXq1WP+/Pl06tQJgOvXr9OgQQOuXLlCzZo1zWO4QoFRpkUUFBQUHhO1Ws3ixYu5du0au3btYuzYsaSmpprbrFLJ6NGjOX78OBs3buTSpUsMHDiQXr16cevWLQD+/PNPqlatyl9//UWVKlWoXLkyw4cPVzwXpQRFXCgoPCadOnVi7Nix5jaj2Cjq833S4z/O9o+zTWxsLO7u7gQFBT32Z+fg5eVFo0aNAPD09MTV1dX4sHvppZf48ssvn/iY5ZGQkBDWrl3L5s2bad++PdWqVWP8+PG0a9eOtWvXAnD37l2Cg4PZvHkzP/zwA+vWrePs2bO88MILZrZe4XFQxIVCoRMdHc0777xDpUqVsLS0xNPTk549e3L06FFzm1akDB06FEEQGDlyZJ51o0aNQhAEhg4dWvyG/QePeiBv2bKF2bNnF/i4Odfj4Z/bt28XyvELyty5c+nXrx+VK1c2GY+IiGDMmDH4+/tjZWWFh4cHbdu25euvvyYtLS3Pcc6ePYter8fX1xeAKVOmMHfuXBITE4vjNEo1ly9fRq/XU6NGDezs7Iw/Bw8e5M6dOwBIkkRmZiY//PAD7du3p1OnTqxZs4b9+/cTEBBg5jNQ+C+UgE6FQmfAgAFkZWXx/fffU7VqVSIjI9m7dy+xsbFmtSsrKwuNRlOkn+Hr68vGjRtZtGgR1tbWAGRkZLBhwwYqVapUpJ9d2Dg7Oz/1MXr16mV8E83Bzc2t0I7/pKSlpbFmzRp27txpMn737l3atm2Lk5MTn376KfXr18fS0pLLly+zevVqfHx8eO6554zbx8XFMXjwYL755hvjWL169ahWrRrr169n1KhRxXZOpZGUlBRUKhVnz55FpVKZrLOzswMMXiK1Wk2NGjWM62rXrg0YPB9KHEbJRvFcKBQqCQkJHD58mPnz/9/encc0kb5xAP9S7YEtCBTUeoGIGgmCxRUPSMCjqwk01fVIDGqxaDRqvBbQrgIeifjDVXQvjZqN7h8b4yqrJqjBGCUNRhAF79sSPEjABkFQKUvf/cMwP8YWO8VxvZ5PMgnzztt3nndeYN55553p/zBu3DgEBwcjJiYGZrOZ++fc1NSEuXPnQqVSQaPRYNu2bU5XzyEhIdixYwev7OHDh2P9+vXc+qlTpxAXFwc/Pz+o1WokJSVxVz3AmyvypUuXYsWKFQgMDMSkSZMAvLkiysnJwYABA+Dt7Y2oqCgcPnyYty9XMQoRHR2Nfv36IT8/n0vLz89H//79odVqeXndxf/ixQskJydDqVRCo9EgLy/P6TglJCRg2bJlyMjIQEBAAHr16sU7Ru7qm5KSgqKiIuzcuZMbWWi7XfD2vhwOB3JzcxEWFga5XI7+/fu7fSywbeSq/dJ2MnFVvrt2aa8zbXTixAnI5XKMHj2al7548WJ07doVZWVlmDlzJoYOHYrQ0FAYDAYUFBRAr9dzeZubmzFlyhSsWbMGY8eO5ZWj1+tx8OBBt3F87bRaLVpbW1FTU4OwsDDe0qtXLwBAbGws/vnnH97fxN27dwEAwcHBHyVuIhx1Loio2oY3jx49iubmZpd50tPTUVRUhGPHjqGwsBDnzp3D5cuXPd5XU1MTVq1ahbKyMpw5cwYSiQRTp06Fw+Hg8hw4cAAymQzFxcXYvXs3ACAnJwd//PEHdu/ejRs3bmDlypWYPXs2ioqKRInRZDLxrtZ///13zJs3z+P4V61aheLiYhw/fhynT5+GxWJxGcOBAwegVCpRUlKC3NxcbNy4EadPn+a2v6u+O3fuxJgxY7BgwQJUV1ejurqaG+Z/m9lsxpYtW5CZmYmbN2/izz//RM+ePQUdEyGEtEt7nWkji8WCESNG8NJsNhsKCwuxZMkSKJVKl5/z8vIC8Oa9CykpKRg/fjzmzJnjlC8mJgalpaUd/u5/TRobG1FRUYGKigoAgNVqRUVFBaqqqjB48GAkJydj7ty5yM/Ph9VqRWlpKXJyclBQUAAAmDhxIqKjo2EymVBeXo5Lly5h4cKF0Ol0vNEM8olihIjs8OHDzN/fnykUCjZ27FhmNpvZlStXGGOMvXjxgslkMnbo0CEuv81mY97e3mz58uVcWnBwMMvLy+OVGxUVxbKzszvcb21tLQPArl27xhhjLD4+nmm1Wl6e169fs27durHz58/z0lNTU9msWbM8ivFtRqORGQwGVlNTw+RyOausrGSVlZVMoVCw2tpaZjAYmNFoFBR/Q0MDk0ql7K+//uK2P3/+nHXr1o0XQ3x8PIuLi+OVM3LkSLZ69WrB9Y2Pj3dZr/bpDQ0NTC6Xs71793YYv6vj0aVLF6ZUKrll+vTpLsv3NM7OtpHBYGAmk4mXduHCBQaA5efn89LVajUXd0ZGBmOMMYvFwry8vFhUVBS3XL16lfvMlStXGABWWVkp7CB9wc6ePcsAOC1tfwN2u51lZWWxkJAQJpVKmUajYVOnTuUdzydPnrDvvvuOqVQq1rNnT5aSksJsNttHqhHxBM25IKKbNm0aEhMTYbFYcOHCBZw8eRK5ubnYt28ftFot7HY7Ro0axeUPCAjo1P3Te/fuISsrCyUlJXj27Bl3xV9VVYWIiAgAcLpKvX//Pl6+fAmdTsdLt9vt3G2LBw8evFeMQUFBSExMxP79+8EYQ2JiIgIDAz2Kv7W1FS0tLYiJieHyd+/e3WUMkZGRvHWNRoOamhrB9RXi1q1baG5uxoQJEwR/BgDGjRuHXbt2cesdjQx4Gmdn2+jVq1dQKBSCYi8tLYXD4UBycjI3EhEXF8cbGXtb2zwbVxNAvzYJCQlg73iNklQqxYYNG7Bhw4YO8/Tu3RtHjhz5EOGRD4w6F+SDUCgU0Ol00Ol0yMzMxPz585GdnY3jx48L+rxEInH6x9TS0sJb1+v1CA4Oxt69e9G7d284HA5ERETAbrdzed4+mTU2NgIACgoK0KdPH942uVwuuH7umEwmLF26FADw66+/uswjJH4hpFIpb93Ly4s7AYpV37aTpqeUSiXCwsLc5vuv2iUwMBB1dXW8tLCwMHh5eTk9gRAaGgrAs7q3PZbaNmmVkK8Vzbkg/4nw8HA0NTVh4MCBkEqlKCkp4bbV1dVxE7XaBAUFobq6mltvaGiA1Wrl1m02G+7cuYN169ZhwoQJGDp0qNNJo6M45HI5qqqqnCaStc01EBrju0yePBl2ux0tLS3cRNL23MUfGhoKqVSKixcvcmn19fUexSC0vjKZDK2tre8sZ9CgQfD29saZM2c82r+YcbbX2TbSarW4efMmL02tVkOn0+GXX3557xdiXb9+HX379nU5UkXI14RGLoiobDYbZsyYAZPJhMjISPj4+KCsrAy5ubkwGAxQqVRITU1Feno61Go1evTogbVr10Ii4fdzx48fj/3790Ov18PPzw9ZWVm8R9b8/f2hVquxZ88eaDQaVFVVYc2aNW7j8/HxQVpaGlauXAmHw4G4uDjU19ejuLgYvr6+MBqNgmN8ly5duuDWrVvcz29zF7+Pjw+MRiPS09MREBCAHj16IDs7GxKJhJtcKISQ+oaEhKCkpASVlZVQqVQICAhwqqtCocDq1auRkZEBmUyG2NhY1NbW4saNG0hNTRUcz/vE2V5n22jSpEkwm82oq6uDv78/l/7bb78hNjYW33zzDdavX4/IyEhIJBJcvHgRt2/fdrq91hGLxYJvv/3W8wNAyBeGOhdEVCqVCqNGjUJeXh4ePHiAlpYW9OvXDwsWLMAPP/wAANi6dSsaGxuh1+vh4+OD77//3unFQ2azGVarFUlJSejevTs2bdrEG7mQSCQ4ePAgli1bhoiICAwZMgQ//fQT970E77Jp0yYEBQUhJycHDx8+hJ+fH6Kjo7n4hMbojq+vb4fbhMS/fft2LFq0CElJSfD19UVGRgYePXokeM6A0PqmpaXBaDQiPDwcr169gtVqdXrBFABkZmaia9euyMrKwtOnT6HRaFy+MKyzhLRLe51po2HDhiE6OhqHDh3CwoULufSBAweivLwcmzdvhtlsxuPHjyGXyxEeHo60tDQsXrzYbfyvX7/G0aNHcerUKc8qTsgXiL64jHwSEhISMHz4cKd3W5D/a2pqQp8+fbBt2zZRRgu+VgUFBUhPT8f169c9Go1yZ9euXfj7779RWFgoWpmEfK5o5IKQT1R5eTlu376NmJgY1NfXY+PGjQAAg8HwkSP7vCUmJuLevXt48uRJh+/06AypVIqff/5ZtPII+ZxR54KQT9iPP/6IO3fuQCaTYcSIEbBYLDRZUAQf4gvZ5s+fL3qZhHyu6LYIIYQQQkRFj6ISQgghRFTUuSCEEEKIqKhzQQghhBBRUeeCEEIIIaKizgUhhBBCREWdC0IIIYSIijoXhBBCCBEVdS4IIYQQIirqXBBCCCFEVNS5IIQQQoioqHNBCCGEEFFR54IQQgghoqLOBSGEEEJE9S852XRTl/7PEQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%pip install matplotlib numpy pairinteraction\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pairinteraction.real as pi\n", "\n", "if pi.Database.get_global_database() is None:\n", " pi.Database.initialize_global_database(download_missing=True)\n", "\n", "# Get the state of interest\n", "ket = pi.KetAtom(\"Yb174_mqdt\", nu=50, s=1, l=1, j=1, m=0)\n", "energy_in_ghz = ket.get_energy(unit=\"GHz\")\n", "\n", "# Construct a basis around the state\n", "basis = pi.BasisAtom(\"Yb174_mqdt\", nu=(ket.nu - 3, ket.nu + 3), j=(0, 2))\n", "\n", "# Construct and diagonalize systems for different magnetic fields\n", "list_bfield_in_gauss = np.linspace(0, 1650, 100)\n", "list_system = [\n", " pi.SystemAtom(basis).set_magnetic_field([0, 0, b], unit=\"G\").set_diamagnetism_enabled(True)\n", " for b in list_bfield_in_gauss\n", "]\n", "pi.diagonalize(list_system, diagonalizer=\"lapacke_evd\", float_type=\"float32\")\n", "\n", "# Get eigenenergies and overlaps\n", "list_eigenenergies = np.array([system.get_eigenenergies(unit=\"GHz\") for system in list_system])\n", "list_overlap = np.array([system.get_eigenbasis().get_overlaps(ket) for system in list_system])\n", "\n", "# Plot the Zeeman map\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = fig.add_subplot(111)\n", "ax.set_title(ket.get_label(\"ket\"))\n", "scat = ax.scatter(\n", " np.repeat(list_bfield_in_gauss, list_eigenenergies.shape[1]) ** 2,\n", " list_eigenenergies - energy_in_ghz,\n", " c=list_overlap,\n", " s=10,\n", " vmin=0,\n", " vmax=1,\n", ")\n", "fig.colorbar(scat, label=\"Overlap\")\n", "ax.set_xlim(0, list_bfield_in_gauss[-1] ** 2)\n", "ax.set_ylim(-2.4, 7.4)\n", "ax.set_xlabel(r\"Squared Magnetic Field (G$^2$)\")\n", "ax.set_ylabel(\"Energy (GHz)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pair Potentials for Yb171\n", "\n", "We calculate the pair potentials for Yb171 that are displayed in Fig. 7a of the publication. The pair potentials are calculated for a magnetic field pointing along the z-axis and the interatomic axis pointing along the x-axis. Because this arrangement breaks rotational symmetry, the total magnetic quantum number is not conserved and two-atom Hilbert space is rather large. To keep the execution time down, we only calculate the pair potentials for a few interatomic distances." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pair basis size: 3392\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%pip install matplotlib numpy pairinteraction\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pairinteraction.real as pi\n", "\n", "if pi.Database.get_global_database() is None:\n", " pi.Database.initialize_global_database(download_missing=True)\n", "\n", "# Get the state of interest\n", "ket = pi.KetAtom(\"Yb171_mqdt\", nu=54.56, l=0, f=3 / 2, m=3 / 2)\n", "\n", "# Construct a basis around the state\n", "basis = pi.BasisAtom(\"Yb171_mqdt\", nu=(ket.nu - 2, ket.nu + 2), f=(0.5, 2.5))\n", "\n", "# Construct and diagonalize a system for a single atom\n", "system = (\n", " pi.SystemAtom(basis)\n", " .set_magnetic_field([0, 0, 5.03], unit=\"G\")\n", " .set_diamagnetism_enabled(True)\n", " .diagonalize(diagonalizer=\"lapacke_evr\", float_type=\"float32\")\n", ")\n", "pair_energy_shifted = 2 * system.get_corresponding_energy(ket, unit=\"MHz\")\n", "\n", "# Construct a basis for a pair of atoms\n", "basis_pair = pi.BasisPair(\n", " [system, system],\n", " energy=(pair_energy_shifted - 3.5e3, pair_energy_shifted + 3.5e3),\n", " energy_unit=\"MHz\",\n", ")\n", "print(f\"Pair basis size: {basis_pair.number_of_states}\", flush=True)\n", "\n", "# Construct and diagonalize systems for different interatomic distances\n", "list_distances = np.linspace(2, 10, 30)\n", "list_system = [\n", " pi.SystemPair(basis_pair).set_distance_vector([d, 0, 0], unit=\"um\") for d in list_distances\n", "]\n", "pi.diagonalize(\n", " list_system,\n", " diagonalizer=\"lapacke_evr\",\n", " float_type=\"float32\",\n", " energy_range=(pair_energy_shifted - 20, pair_energy_shifted + 20),\n", " energy_unit=\"MHz\",\n", " rtol=1e-6,\n", ")\n", "\n", "# Get eigenenergies and overlaps\n", "list_eigenenergies = [system.get_eigenenergies(unit=\"MHz\") for system in list_system]\n", "list_overlap = [system.get_eigenbasis().get_overlaps([ket, ket]) for system in list_system]\n", "list_distances = [d * np.ones_like(e) for d, e in zip(list_distances, list_eigenenergies)]\n", "\n", "# Plot the pair potential\n", "list_eigenenergies = np.hstack(list_eigenenergies)\n", "list_overlap = np.hstack(list_overlap)\n", "list_distances = np.hstack(list_distances)\n", "sorter = np.argsort(list_overlap)\n", "\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = fig.add_subplot(111)\n", "ax.set_title(ket.get_label(\"ket\"))\n", "scat = ax.scatter(\n", " list_distances[sorter],\n", " list_eigenenergies[sorter] - pair_energy_shifted,\n", " c=list_overlap[sorter],\n", " s=20,\n", " vmin=1e-3,\n", " vmax=1,\n", " norm=\"log\",\n", " cmap=\"magma_r\",\n", ")\n", "fig.colorbar(scat, label=\"Overlap\")\n", "ax.set_xlim(2, 10)\n", "ax.set_ylim(-20, 20)\n", "ax.set_xlabel(r\"Interatomic Distance ($\\mu$m)\")\n", "ax.set_ylabel(\"Energy (MHz)\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.13.1" } }, "nbformat": 4, "nbformat_minor": 2 }