{ "cells": [ { "cell_type": "markdown", "id": "ce909f7f", "metadata": {}, "source": [ "# Plot Gallery\n", "\n", "Every plotting helper in `landau.plot` at default settings, applied to one\n", "shared model system so the figures can be compared directly.\n", "\n", "The system is three ideal solutions — `fcc`, `hcp`, `liquid` — ordered by the\n", "temperature at which each becomes stable (fcc lowest, liquid highest). The\n", "endpoint energies and entropies are loosely taken from the visual-review\n", "testplots (`tests/integration/testplots.py`). The numbers carry no physical\n", "meaning; they are chosen to produce a diagram in which all three phases appear." ] }, { "cell_type": "markdown", "id": "f9f66482", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "1c850ab6", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:08.180281Z", "iopub.status.busy": "2026-06-07T16:23:08.179965Z", "iopub.status.idle": "2026-06-07T16:23:10.365616Z", "shell.execute_reply": "2026-06-07T16:23:10.363911Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "import landau.phases as ldp\n", "import landau.calculate as ldc\n", "import landau.plot as lpl" ] }, { "cell_type": "markdown", "id": "3d29567d", "metadata": {}, "source": [ "Each phase is an `IdealSolution` between an A endpoint (concentration 0) and a\n", "B endpoint (concentration 1). Higher entropy lowers the free energy faster with\n", "temperature, so the high-entropy `liquid` wins at high T while the low-entropy\n", "`fcc` wins at low T." ] }, { "cell_type": "code", "execution_count": 2, "id": "5756e8fe", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:10.369016Z", "iopub.status.busy": "2026-06-07T16:23:10.368560Z", "iopub.status.idle": "2026-06-07T16:23:10.375789Z", "shell.execute_reply": "2026-06-07T16:23:10.374374Z" } }, "outputs": [], "source": [ "fcc = ldp.IdealSolution(\n", " \"fcc\",\n", " ldp.LinePhase(\"fccA\", fixed_concentration=0, line_energy=-3.00, line_entropy=1.0 * ldp.kB),\n", " ldp.LinePhase(\"fccB\", fixed_concentration=1, line_energy=-2.00, line_entropy=1.1 * ldp.kB),\n", ")\n", "hcp = ldp.IdealSolution(\n", " \"hcp\",\n", " ldp.LinePhase(\"hcpA\", fixed_concentration=0, line_energy=-2.975, line_entropy=1.8 * ldp.kB),\n", " ldp.LinePhase(\"hcpB\", fixed_concentration=1, line_energy=-1.95, line_entropy=1.1 * ldp.kB),\n", ")\n", "liquid = ldp.IdealSolution(\n", " \"liquid\",\n", " ldp.LinePhase(\"liquidA\", fixed_concentration=0, line_energy=-2.75, line_entropy=5.0 * ldp.kB),\n", " ldp.LinePhase(\"liquidB\", fixed_concentration=1, line_energy=-1.75, line_entropy=4.4 * ldp.kB),\n", ")\n", "phases = [fcc, hcp, liquid]" ] }, { "cell_type": "markdown", "id": "60a64036", "metadata": {}, "source": [ "## Overview" ] }, { "cell_type": "markdown", "id": "b764fffb", "metadata": {}, "source": [ "Every two-axis plotting helper at its default settings. The four panels share\n", "the same `phases`: a temperature cut at fixed chemical potential, a chemical\n", "potential cut at fixed temperature, and the two two-dimensional diagrams in\n", "concentration–temperature and chemical-potential–temperature space." ] }, { "cell_type": "code", "execution_count": 3, "id": "46d683ef", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:10.378522Z", "iopub.status.busy": "2026-06-07T16:23:10.378306Z", "iopub.status.idle": "2026-06-07T16:23:39.059633Z", "shell.execute_reply": "2026-06-07T16:23:39.058183Z" } }, "outputs": [ { "data": { "image/png": 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HH3/MUD6rf5Oc/FsJIYQo2op7rvQ8daRKpcq0ztRqtYYJLhv/FZ9Wq+Wll14iMjKSiRMn4u/vj62tLaGhoQQEBKTLTcaMGUOnTp349ddf2bFjB9OmTWP27Nns3r2bWrVq6cuuWrUKDw+PDMc0MyuYP4tzm//kRmb5Vm5zu8z+TSTXEvlNGqWEMDHXrl1L901HUFAQOp0uy8EXvb29uXLlSoblly9f1q+HgknYnhzr2rVrtGrVSr88JSWF4OBgatSoke8xZOfJt2RPKIpCUFAQL7zwQq73tWHDBnx8fNi0aVO6azt9+vQMZS0sLOjUqROdOnVCp9MxatQoFi9ezLRp0/Dz88PX15e4uDh9z6i8ep7r/+jRI/766y9mzJjB+++/r1/+72vm7u6OlZVVhtlxgEyXZWXjxo1YWVmxY8cOLC0t9cuXLVuW430IIYQoniRXMhxnZ+dMH8PKa++xsLAw4uPj0/WWunr1KpC72QkBzp07x9WrV1mxYgUDBw7UL89qSARfX1/GjRvHuHHjuHbtGjVr1uSzzz5j9erV+Pr6Aml5jCHyrfPnz6MoSrqfmcx+xv4tp/mPt7c3Op2O4ODgdL3qcpNr5TS3E8LY5PE9IUzM119/ne7zV199BZDleD0vv/wyx44d4/Dhw/pl8fHxfPfdd5QrV04/ls+T5CAqKiofok5Tp04d3NzcWLRoEcnJyfrly5cvz9fj5tTKlSuJjY3Vf96wYQPh4eFZXtvsPPnW6NlviY4ePZru3wHIMOWuWq3WN4I9mTq4Z8+eHD58mB07dmQ4TlRUFKmpqTmK6Xmuf2bnA2SY+U+j0dCmTRt+/fVXwsLC9MuDgoLYtm1bjuJ8sh+VSpXum9iQkBB+/fXXHO9DCCFE8SS5kuH4+vpy+fJl7t+/r1925swZDh48mKf9paamsnjxYv3n5ORkFi9ejJubG7Vr187VvjLLTRRFYf78+enKJSQk8Pjx43TLfH19sbe31+da7dq1w8HBgVmzZpGSkpLhWM+e/395+eWXCQsLY8OGDeli+O6773J0TjnJf9q1awfAN998k275k5/1nMhpbieEsUlPKSFMTHBwMJ07d6Z9+/YcPnyY1atX07dv3yy/OZs0aRI//fQTHTp04J133sHFxYUVK1YQHBzMxo0b9VP++vr64uTkxKJFi7C3t8fW1pb69etnOd7Pv61atYqbN2+SkJAAwP79+5k5cyYAAwYMwNvbG3Nzc2bOnMmIESNo1aoVvXr1Ijg4mGXLlpnEmFIuLi40adKEwYMHc/fuXb788kv8/PwYPnx4rvf1yiuvsGnTJrp27UrHjh0JDg5m0aJFVKlShbi4OH25YcOGERkZSatWrShTpgw3b97kq6++ombNmvqxLCZMmMDmzZt55ZVXCAgIoHbt2sTHx3Pu3Dk2bNhASEhIhmf5M/M819/BwUE/BkNKSgqlS5dm586dBAcHZyj7wQcfsHPnTho3bszIkSPRarUsXLiQatWqcfr06Rxdv44dO/L555/Tvn17+vbty7179/j666/x8/Pj7NmzOdqHEEKI4klyJcMZMmQIn3/+Oe3atWPo0KHcu3ePRYsWUbVqVWJiYnK9v1KlSjF37lxCQkKoWLEiP//8M6dPn+a7777D3Nw8V/vy9/fH19eX8ePHExoaioODAxs3bswwltHVq1dp3bo1PXv2pEqVKpiZmfHLL79w9+5devfuDaTlOd9++y0DBgzgxRdfpHfv3ri5uXHr1i3++OMPGjduzMKFC3MU1/Dhw1m4cCEDBw7kxIkTeHp6smrVKmxsbP5z25zmP7Vr1+a1117jyy+/5OHDhzRo0IB9+/bpe53lpFdfbnI7IYzKCDP+CSEy8WQq1osXLyrdu3dX7O3tFWdnZ+Wtt95SEhMT9eX+Pc2xoijK9evXle7duytOTk6KlZWVUq9ePWXLli0ZjvHbb78pVapUUczMzHI95fGTaX4zez079a2iKMo333yjlC9fXrG0tFTq1Kmj7N+/P8sph3PK1tY2z1PPPpl6+KefflImT56suLu7K9bW1krHjh3TTZWsKGnnWbVq1Qz7+PeUvjqdTpk1a5bi7e2tWFpaKrVq1VK2bNmSodyGDRuUtm3bKu7u7oqFhYXi5eWljBgxQgkPD0+3/9jYWGXy5MmKn5+fYmFhobi6uiqNGjVS5s2bp59COadycv2Dg4Mz/AzcuXNH6dq1q+Lk5KQ4OjoqPXr0UMLCwjKd1vqvv/5SatWqpVhYWCi+vr7K999/r4wbN06xsrJKVw5Q3nzzzUzj/OGHH5QKFSoolpaWir+/v7Js2TL9ffBf+3gS/7+nf37yb71+/focXi0hhBCFheRKGXl7eysdO3bMsDw3defq1asVHx8fxcLCQqlZs6ayY8eODPlMTjzJoY4fP640bNhQsbKyUry9vZWFCxemK5dVXZ1ZbnLx4kWlTZs2ip2dneLq6qoMHz5cOXPmTLpyDx48UN58803F399fsbW1VRwdHZX69esr69atyxDjnj17lHbt2imOjo6KlZWV4uvrqwQEBCjHjx/P1bnevHlT6dy5s2JjY6O4uroqo0ePVrZv357h3zqz65jT/Cc+Pl558803FRcXF8XOzk7p0qWLcuXKFQVQ5syZoy/3ZNv79+9niDOnuV1W+xg0aJBia2ubYb9Z5ctC5IVKUWSEMiFMwQcffMCMGTO4f/9+jnrFiJzbu3cvLVu2ZP369emm7xWG1aVLFy5cuCBjFQghhMgXkiuZthYtWvDgwQPOnz9v7FCKrNOnT1OrVi1Wr15Nv379jB2OEAYhY0oJIYTItcTExHSfr127xtatW2nRooVxAhJCCCGEKEL+nWtB2nhQarWaZs2aGSEiIfKHjCklRDGWmJhIdHR0tmVcXFywsLAw6HHv37+f7VTDFhYWuLi4/Od+kpOTiYyMzLaMo6NjruMzRZGRkekGRP03jUaDm5tbgcXj4+NDQEAAPj4+3Lx5k2+//RYLCwvee++9AotBCCGEyG+FPVcyBFPLQfJLTvNKa2vrAonnk08+4cSJE7Rs2RIzMzO2bdvGtm3beP311ylbtmyBxCBEQZBGKSGKsZ9//pnBgwdnW2bPnj0G7/1St27dbKcabt68OXv37v3P/Rw6dIiWLVtmW2bZsmW5noLYFHXr1o19+/Zlud7b25uQkJACi6d9+/b89NNPREREYGlpScOGDZk1a1a6aYuFEEKIwq6w50qGYGo5SH7JaV4ZEBBQIPE0atSIXbt28dFHHxEXF4eXlxcffPAB//vf/wrk+EIUFBlTSohiLDw8nAsXLmRbpnbt2jg7Oxv0uAcPHsy0S/ITzs7OOZo2+NGjR5w4cSLbMlWrVsXT0zPXMZqaEydOZJht5lnW1tY0bty4ACMSQgghir7CnisZQnHJQYpTXimEKZFGKSGEEEIIIYQQQghR4OTxPQPQarVcvXoVOzs7VCqVscMRQgghxHNQFIW4uDgqVqyIRqMxdjjFguRSQgghRNGS03xKGqUM4OrVq1SpUsXYYQghhBDCgC5evEjlypWNHUaxILmUEEIIUTT9Vz4ljVIG8OS54osXL2Jvb2/kaERhoygKd+7coVGjRly4cAEHBwdjhyREkSD3lsir2NhYqlSpIuOGFCDJpURhZir1janEIYQQkPN8ShqlDECtVgNQunRp+eUv8sTR0RGAMmXKyM+QEAYk95bIi5iYGOBp/S7yn+RSorAzlfrGVOIQQoic5lOSbQkhhBBCCCGEEEKIAieNUkIYmVar1U8/q9VqjRyNEEWH3FtCCCEKgqnUN6YShxBC5IY0SglhZFqtlp07d+rfCyEMQ+4tIYQQBcFU6htTiUMIIXJDGqWEMDK1Wk2lSpX074UQhiH3lhBCiIJgKvWNqcQhhBC5Ib+thDAyMzMzunXrpn8vhDAMubeEEEIUBDMzM7p3707t2rWxsLAo9nEIIURuSKOUECbA0tKS6dOnY2lpaexQhChS5N4SQghREKytrVm0aBHW1tYShxBC5IJKURTF2EEUdjExMTg6OhIdHS1TrwohhBCFnNTrBU+uuRBCCFG05LRul+cZhDCylJQUFixYAMA777yDubm5kSMSomiQe0sIIURB0Gq1nD9/HoBq1aqh0WiKdRxCCJEb0iglhJEpikJsbKz+vRDCMOTeEkIIUVBSUlKMHQJgOnEIIUROSaOUKHChUYmMWXuKM3eiSU7V8ee7zfFztzN2WEZjZmbGG2+8oX8vjOgDx3/+H23cOIRBFPS9VX1FdQDODTqX6efn9WvQr0w7OI3Ovp35uMnHGdaHxoXSfmN7gx5TCFGESB2Xb9RqNYMvDAbgbO2zgHHrgKM9jsrse4WQ/I0kiiv5C1gUuG/2BPF3yCNe9HKiRlknnGyK9yM1arUaDw8PY4chRJFj7Hurf+X+Bt2fr6Mv/Sv3p5prNYPuVwghxPNRqVQZ3huzDrCxsTHosUXBkL+RRHEljVKiwIU8jAdgfNtKNPJzNXI0QgiRPybWm2jQ/VV3q051t+oG3acQQoj8IXWAyC35G0kUV9IoZcJSdCmYq4tWC3mvxYc5GhwJQN/vjwJwYmob5u28yv6r93kQl4SXiw3f9HuRCiXtuR2ZwNztl/k7JJLoxBT83O1YOaQ+LrYWxjwNg9JqtZw798/jPtWry6CUpuDsOvjzA0hJhEZvQdNxacuT4mD/J3BxM8SEgUMp6LwAyjeDL6pD9C3o8Akc/hoeR0G17tB+DpgVnZ/XwsTY99a/H904En6Ej498zL2Ee3Sr0I1LkZc4cfcEHzX+iC5+XRi8fTDH7x5nabul1PWom+FRjX9/1ik6FpxcwMZrG7E1t2VItSEFen5CFAYXwqIJuheX6TqVSoWjtTnNK7oBkJyqY+fFiPRlUPGkE4wKqFPOBTd7SwDOh0Zz51EiKlXauif7fPK+hJ0FtbycAUhITuVYcKR+fdo2Kv22KpWKF8o4YmuZlpoH3YsjOjEFtQrUKhVq1T9l//nsaG1OKSdrAB6naLkb8xi1SoVGrfrn/2BvZa4/lrlGrY9L6jjD0+l06d6r1Wqj1gEPHjzAxcVFHuErRORvJFGcSaOUiYpPiaf/1v50q9CN/pX7p+sWXJi9XN2Tmw8TiIh5TIdqHpR0sGLYyuOcuhWFdwkbutYqzaXwGB7EJVPaOZW+3x/hdmQilT0daFnJnRM3HxGflFqkfuFqtVp+/fVXAKpUqSKNUqZg90dQtj5c2AR/fQSVXwVXP/jtTbj4K9h5wAs94VEIRN9Jv+3+T6FCO7i6HY7/APYe0Pw9Y5xFsWdK91Z0UjRj9owhPiWeZmWacfHhRU7fP/1c+/w16Fd+OP8DduZ21PWoy+Iziw0TrBBFyJaz4Xy793qW66t4OugbpRKTtbz146ls97d6aH19o9Sqwzf5+fjtLMs2reDKqqH1AQiPfkzAsr+z3ffWd5pSpVTalNlztl3iz0v3sizbpWYpvuxdC4BzodH0WHQ43XobCw1TO1Z+pnxpnjzQlbj9A+45Vsc7fDvKXx+xXVuPBPvy1D/xLmXCdpBi4475P3VcdEQwxxIr0iRFizWQvGcuj0q1xCV0D+bHfyBU64BHp+lo1Gl5asiDeILuxZGYosXaXIONpQZbCzNsLTXYWprhbGOBlXnRy3OenUwjs4k1CroOCAkJwdnZ+bn2LwqW/I0kijNplDJRvwb9SlBUEJ/8/Qmn7p3iw0YfYmdR+Ae6G9SoHFvPhRMR85iBDcthY6Fh+aEQHKzM2PxWExyt03qGpWh17Lxwl9uRiZR3teX3txpjplGjKAq6IjaJllqtpkKFCvr3wgT0XAWlasLDIIg4C3fPgbVTWoOUSg1DtoNL+bSy2n/NctNpPvh3hMt/wNq+cOYnaZQyElO6t/bd2Ud8SjxVS1Tl69Zfk6pLpc36Njx8/DDP+9x6YysA77z4Dn38+7D39l7e3v22gSIWomjwdrGhsV8JADKbhNO7xNOxdzQaFQ18XPTl0hX/54OD9dPU2auEDbW9nfWNEMo/x1D+OZiPq62+rIVGTdVSDvr1+m0U0CkKCmBp/vT3lJu9JV4uNmh1T8opaBXln/JpvaCeUAG2Fhq0ioJOB9pMTvTZ7zZPNfqKEHM/7ONDcIm5jF3UZRLUdpQJ24EONVde3kC1ajUAiL4Xxf3gaP0+D1d5n9CSLSnt1JTmJ0fjcGUjqs7T9fs+cyeK5QdDOHU7KuPFBsa3rchbrdJ+L/9+JowFf13DwdocR2tznKzNcbQxx9nGAmcbc9zsLWlfzfPpP4GimOyXtJmNKfWsgq4DHB0dTfZaiczJ30iiOJNGKRPV178vKlR8evxTdt3cxdVHV/m8xedUdK5o7NAM6s6jRADKu9npf9lCWjfzO48SAKhSygEzTVqiplKp0BSxOtbMzIx+/foZOwzxrJL/DCJq7ZT2/+QEiLqZ9t6mxNMGKQDNvx6xda30z///uVdjwvItTJE9U7q37ifcB8DLwQsAM7UZpe1LZ/sHiU7RZbkO4F5iWi8Kb3vvtP87eBsiVCGKlN71vOhdzytHZe0szVj7esMc7/vNln682dIvR2XLutjwxztNc7zv2d1eyHHZOuVcuPBh+wzLn/yRqiiKvicTQO26Taip0mB50Q1iLlO7lCXaEslpK21cKOdXRV/W1dGOJn7mWB1Iy8O8K9WipIMzZvYvwEmwTbqL+pnGDw9HK170dsLSXE1ispb4ZO0//08l7nGq/vFEgLsxj7mWxaOVAK52FukapWp9tAtrcw3u9paUdLDC09EKD0drSjlZUdrJmgol7dPlkgXp2S8+MvsSpKDrgCdfyIjCS/5GEsVJoWiUCgkJ4aOPPmL37t1ERERQqlQp+vfvz//+9z8sLLLuohgREcGECRPYtWsXsbGxVKpUif/973+89tpr+jKRkZG8/fbb/P7776jVal577TXmz5+PnZ1xeyWpVCr6Vu5LVdeqjN83npsxN+n3Rz+mNUx7lryoKOOcNh5C8P04Yh+n6L/5S9XqKOOc9u3lpbAYUrW6dN8CPJtcCWFwmie/Gp/5OXP6J9lLeAiPboLzP5+1qc+UBx5cSXvU78HVtM8OpfI9XGH63G3cAbgVcwuAVF0qobGh6cpYm6X9PoxLTvsj7dqja9nv09qd4OhgbsbepBGNuBlz09BhCyEKsad/pKbPmSwt0x4/5J/GExtzDXj4pi1KjMQuMQys0uo4GzPwKmGrL1tOuQOeNSA6PK28Y+l0+65fvgT1y5fINB7ln55eT7zyQikqezoQk5hC9D+vRwkpRCUk8yghOV0DVnxSKlEJKUSRQnj0YyA6w/4X9KlF5xppde5vp0M5eyea8q62+LjZUsHdHlc7C6P1HpI6QOSW/I0kipNC0Sh1+fJldDodixcvxs/Pj/PnzzN8+HDi4+OZN29eltsNHDiQqKgoNm/ejKurKz/++CM9e/bk+PHj1KqV9hx+v379CA8PZ9euXaSkpDB48GBef/11fvzxx4I6vWzVcKvBulfWMTlwMgfDDvK/A//j5N2TTKk/BQtN4X9muHppR2p5OXHqVhSdFx6kgY8LV+/GMb5tJVr6u1HWxZobD+LpvPAgNco6cfp2FN8NqE1ZF5nqVhQwW1eo0iXtEb6l7aDCS2njSVXvATX7Pi33+xi4shWubE/7/EJvIwQrTE2zMs2wM7fjwsMLvPnXm8Qlx/Eo6VG6MpVcKhEYGshXp7/iaMRR1l1Zl+0+O5TvwNGIoyw4uYBLDy8RGBqYn6cghCjKCqCOU6lU6R4j9HC0wsPRKkfbWptrODSpFfdjk4iIeczdmMdERKe9QqMSCY1KpNwzj2LuvnyP306n76nsZGNORXd7Knva08jPlXZVPXIc+/OSOkDklvyNJIqTQjGATfv27Vm2bBlt27bFx8eHzp07M378eDZt2pTtdocOHeLtt9+mXr16+Pj4MHXqVJycnDhx4gQAly5dYvv27Xz//ffUr1+fJk2a8NVXX7F27VrCwkznkRtnK2e+bv01o2qOQoWK4Ohg1KpC8U/3n9RqFd8PrEOfemVJStGy8WQoMYkpuNpZYGNhxo/DGvDKC548iEti08k7aNSk++asKEhJSWHBggUsWLCAlJSU/95AGM+rX0Pj0WBmCWd+hshgcCyTvkyLSRByAHQpUHswNBlrnFiFSd1bjpaOfNHyC8o5lON4xHGqlKhCTbea6coMrDKQBp4NCI0N5fyD8/T2z/6Pva4VujK46mA0ag1Hwo8wrPqwfDwDIUSRZ8J1nFqtopSTNTXKOtGuqgcDG5bjvfb+fN6rJj+PaMiBia14oYyTvnyHah4MbVKeVv7ueJewQaWCqIQUjoVEsuLwTbadC9eXDXkQz7Rfz/PrqVBuRyZkOlD5f9FqtZm+f6Kg64Bz585lGocoPORvJFGcqJS8/OY1AVOnTmX79u0cP348yzJt27bFwsKClStX4uTkxLp16xg6dChnzpzBz8+PpUuXMm7cOB49evpNRWpqKlZWVqxfv56uXbtmut+kpCSSkpL0n2NiYihbtizR0dE4ODgY7iQzcSjsEBWcKuBm88/0xdrkItFjqjhLTk5m1qxZAEyZMiXbR1KFCXsyXfbos08f7RNGZer31pPpv59MBy5MR0xMDI6OjgVSr4s0cs1NXCGv4x6naAm6F8eViFguhcdQy8uZji+kjVe14cQdxq8/oy/rbm9JA58SNPApQSPfEv80amX/SJRWq+XUqbSZG2vVqpWj2V7zow7ISxxCCJFfclq3F8rm1KCgIL766qtsH90DWLduHb169aJEiRKYmZlhY2PDL7/8gp9f2qCUERERuLu7p9vGzMwMFxcXIiIistzv7NmzmTFjxvOfSB40KtVI/z5Jm8SgbYOo71mft2u9jZm6UP5zFntmZmYMGTJE/14IYRhybwkhhACwMtdQrbQj1Uo7ZlhXqaQ9Q5uU58TNR1wIi+ZebBKbz4Sx+UyYfv32MU2zbZhSq9VUqlRJ/95YTCUOIYTIDaNm6ZMmTWLu3LnZlrl06RL+/v76z6GhobRv354ePXowfPjwbLedNm0aUVFR/Pnnn7i6uvLrr7/Ss2dPAgMDqV69ep7jnjx5Mu+++67+85OeUgVt7+29XHh4gQsPL3D2/lk+bf4prtauBR6HeD5qtRovr5zNDCSEyDm5t4QQQvyX6mUcqV4mrbHqcYqWU7eiOHLjIYdvPOTUrUeUdrbWN0hFJ6Yw9ufTdKjmQacapbAyT+uJpFKpsLe3N9o5PGEqcQghRG4Y9fG9+/fv8/Bh1lOhAvj4+OgfuQgLC6NFixY0aNCA5cuXZ/sNwPXr1/WDoletWlW/vE2bNvj5+bFo0aI8P773b8bscr4jZAfvH3yfhNQEXK1d+bTZp9TxqFOgMQghhBBFiTxKVvDkmgtTFJ+UyqOEZP1sZ5vPhPHOT2mPx01qX4kKJe3xLmFDWWcbLM3lUTkhhHhWoXh8z83NDTc3txyVDQ0NpWXLltSuXZtly5b9Z5fUhIQEIGPXVY1Gg06nA6Bhw4ZERUVx4sQJateuDcDu3bvR6XTUr18/t6djFO3KtaOic0Xe3fsuQVFBDNs5jHdefIfBVQcbbdpbkTs6nY5Lly4BULlyZeluLYSByL0lhBDiedhamqUbPLpWWScmtKvEtvPh7Lx4F3src+7GPOZ4SCSu5qmUdramkpeH0eobRVH0X7Y7OzvL3wJCiEKhUAx0HhoaSosWLfD29mbFihXpBu3z8PDQl2ndujUrV66kXr16pKSkUKVKFTw9PZk3bx4lSpTg119/ZcKECWzZsoWXX34ZgA4dOnD37l0WLVpESkoKgwcPpk6dOvz44485js8Uvt1LSEngoyMfseXGFgBalm3JrCazsLOwM0o8IudMfTBmIQorubdEXplCvV7c5Nc1vxx5maCooCzXO1g40KxMMwBStCnsvLkz3XoVT/+oV6lU1PWoqx8q4fyD89yJvcO/NtBztXLV916PT4nnUNgh/T71+1U9PUZdj7rYW9jr9/0w8aG+UUGFCpVKpd/W1caVis4VAYhNjuXSw0v69WqVWv/eXGOOjZkNZe3L6scefZD4gBRdSlpZ1KAibZt/jmGlscLGPK1nUKoulWRtMmqV+umLf/ZfzBs8bj6MZ9/V+1y/F0dU/GMSg47iaG3O7LFDjDaOYWpqKps3bwagc+fOMp6iEMKoCkVPqZzatWsXQUFBBAUFUaZM+qlpn7SppaSkcOXKFX0PKXNzc7Zu3cqkSZPo1KkTcXFx+Pn5sWLFCn2DFMCaNWt46623aN26NWq1mtdee40FCxYU3MkZiI25DbOazKKWey3mHJtDWFyYDHxeSKhUKsqVK6d/L4QwDLm3hMi9zp07c/r0ae7du4ezszNt2rRh7ty5lCpVKsttvvvuO3788UdOnjxJbGwsjx49wsnJqeCCzsb24O38cP6HLNf7u/jrG6USUhOYFDgp2/1999J3+kap9VfXs+napizLNirVSN8odS/hHu/ufTfLsgAbOm2gkkvaINWLzyxm7529WZbt6NOROU3nAHDt0TWG7hya7b7/6vEX7jZpk/uM3jOas/fPZlm2f+X+TKw3EYB9t/cxZu+YTMuZqczQqDUc7nMYc405AIO2DSIiPgJzjTlmKjPMNeaYq5++ulboSkefjgCcuHuCP278gaXGUv+yMrNKe2mssDW3pW25tvrj3Yy5iaXGEltzW2zMbNCojfu4nHcJWwY2tEVRFM7cesiHx3Zg7WKj/9vkxM1IluwPZnDjctQr71Ig9ZCiKMTExOjfCyFEYVAoWi0CAgIICAjItky5cuUy/PKtUKECGzduzHY7FxeXXPWKMmUqlYqelXpS1bUq9ub2WJlZAfA49bH+vTA95ubm//nzLYTIPbm3hMi9li1bMmXKFDw9PQkNDWX8+PF0796dQ4cOZblNQkIC7du3p3379kyePLkAo/0PEefxin9EQwe/DKueZIxlzRzh8h8AmGmTqJ9J2We3cAg/BzGPQKWifFISdR18npZQ0peuoJjBle0AWCVH8aJ9+X/WKfoyin5bBes7JyHyNgBeOqhm54XyT+knOa7yz/alUlIgeD+gwjL2Fj42HunK6VDQKQpP/tOEnwNLR0CFk6LCxcIBRVHQKjqUf8rq0KFTdJgnxcKDa6BSo4sNz/LypiqppGpT0STHg8YcVBruxkcQFh+W5TYNSzXUvw96FMT6q+uzLOtg4ZCuUar3lt7EpcTpP9uY2WBnYYe9uT32FvYMrT6UFmVbAHD2/lkuPryIk5UTLpYuuFi5UMK6BI6WjqhVhn20TqVSUdPblU1f/i/d8qUHQ9h+IYLtFyKoVtqBEc18ebm6Jxp1/jVOSb0nhCiMCsXje6bOlLv5p+pSeX3X65S2K82U+lOwNrM2dkhCCCGESTPler2gbd68mS5dupCUlIS5uXm2Zffu3UvLli1z1FMqKSmJpKQk/ecnMxkb9JpvmwhHFxlmX8WUAqQCOhVoUZGqAh0qUoFUlQqdCkqlavXlr5mbk6hWkYqKVLWGZI0ZqWoNKWo1yWoN/lo1vooG1GacN1cTaK4mSa0mSaXS/z9RpeKxCqxUZnxuUwk0ligaC5o/2k+skkIqmf/pMqfSIDqWaQHmNiy4vokl137OUEaj0lDCqgTV3arzZcsvAdDqtGwL2UYp21KUsiuFm7VbrnthabVaAgMDCQ8Px9PTk6ZNm3L9QQLLDobwy6k7PE5JG8/Wu4QNI5r50r12GSzMZJxDIUTRVqQe3xN5d+reKU7cPcHfEX9z8eFFPm/xOd4O3sYOSwghhBAmLjIykjVr1tCoUaP/bJDKrdmzZzNjxgyD7jMDJ28o+8zENTn6HjYHZbLcj5JFmSzKK8/0lcqqvMK/yuTwfXb/T/de98x77dN1urTlKkXBXNGmlVN0oNM+3SYTFVJSMj/XTFT755W9tMcMVcD+f5YkqSBepSZerSZGrSJOrSZWrabarVmg/QiA8rY2tLG1IVKjJkpjxkONhmi1Cq2i5V7iPR7dPgK/vQU2Ljw0t2TyzbX6I5qrzSht60kZB2+8Hbwp51CONt5t9I9t/tumTZsYPXo0d+48HV+sTJkyzJ8/n9nduvFeu0qsOBzC8kMh3HyYwJRfzvH1niA+61mDBj4lcny9hBCiqJKeUgZg6t+oHg0/ynv73yPycSS25rbMbDyTNt5tjB2W+EdKSgo//JA23sXQoUMNnvgLUVzJvSXyytTr9fw2ceJEFi5cSEJCAg0aNGDLli2UKPHffzybXE8pkX+eNGjpG6q0z/xf98//U/95/bNOl/J0mTY17bM25Z//p4I2Oe2lS4XUpLT3qUmgTUr7v/6VCCmP//n/M6/keEiJh+QESI6D1MfpQk4BIjUaHmg0gELV5LQGtDtmGqa7liDMTEOEmRmpmYz9tMGiEpWcfMGhNIvir3FfpeBfshahJ6J5d+j4DEOIPBk/asOGDXTr1g2AhORUfjp2m0X7rhMZn8zucc3xLmFr0H8WqfeEEKZEekoJvfqe9VnfaT0T9k3g5L2TjN07loFVBjKm9hjM1VJZGZuiKEREROjfCyEMQ+4tIdJMmjSJuXPnZlvm0qVL+Pv7AzBhwgSGDh3KzZs3mTFjBgMHDmTLli0GHajZ0tISS0tLg+1PFDCVClQaQJM2npQp0qamNU4lxUJSLOZJMZR8HEPJx9HwOAoSoyDxEWUSI/khIRISHqKNvs/dx4+4rSRx29yMW2bmBJub4RXyJyi7ANhVyoOrlhYod/ZyZdyVTOsXRVFQqVSMGTOGV199FY1Gg42FGUOblKdffS+OBkfqG6RStDrG/nya/g28n7vnlNR7QojCSHpKGUBh+UY1RZfC/BPzWXFxBQAvur/IZy0+y7I7sigYOp2O4OBgAMqXL49aLWMMCGEIcm+JvCos9XpO3b9/n4cPH2ZbxsfHBwsLiwzL79y5Q9myZTl06BANGzbMZMunctNT6t+K2jUXhVxyAsTfg7h7EBsOsREQEwYxoeyIvsaF5IfsufqILV9kPaj7E2s+6kiftq+iKlULSlYD8/STD60+cpOpv54HoGN1Tya/7E8ZZ5s8hS31nhDClEhPKZGBudqc8XXHU8u9FlMPTuV+4n0sNBkTUFGw1Go1vr6+xg5DiCJH7i0h0ri5ueHm5panbXW6tAGan33UTogiz8IGLMqBc7kMq9r98/Jcs4otDPzPXU0MPcMP567T+NhjGtceScPab+Bg4QBhp8HMknZVynEp3Iufjt3ij3Ph/HnpLqNa+PFGCx8szXI34LrUe0KIwkgapYqh1t6tqeBcgcfax2mVIpCYmoilxtLg0+QKIYQQonA4evQof//9N02aNMHZ2Znr168zbdo0fH199b2kQkNDad26NStXrqRevXoAREREEBERQVBQEADnzp3D3t4eLy8vXFxcjHY+QuQnz9Jlc1TOxtGCe2Zm/GJvxy9XV2F27SfqeNShVcR1Wt08TUkLBz4u24C3m9fm8yBP1t9x5Is/r/LbmVA+7lKdhr4yGLoQomiTx/cMoLB3OVcUhbF7x5KiS2FWk1k4WjoaO6RiRafT6RN5Pz8/6WothIHIvSXyqrDX63l17tw5Ro8ezZkzZ4iPj8fT05P27dszdepUSpcuDUBISAjly5dnz549tGjRAoAPPvgg05n0li1bRkBAQI6OXVyvuSi8tFot5cqVIzQ0NNPxm1QqFWXKlOFy0GVOPzjNwdCDBIYGEhwdnK7ci48f0z4ugbbxCZTQ6UiycGZvShWWPm7FUaUyX/d9kY4veOYoJqn3hBCmJKd1uzRKGUBhT6SuPbpGnz/6kKRNorRdaT5r/hlVXasaO6xiIzk5mVmzZgEwZcqUTMf0EELkntxbIq8Ke71eGMk1F4XRpk2b6N69O5B+YPHMZt974mbMTfbc2sPu27s5de+UfrkGaJKYzKsx0TRPSGRL2cksimnI5reaYBV1HdQaKJH9o3lS7wkhTElO63ZpPhdUcK7A6pdXU8auDKFxoQzYNoB1V9bJrB0FRKVSUapUKUqVKmXQmY2EKO7k3hJCCJGfunXrxoYNGyhVqlS65WXKlMm0QQrA28GbgGoBrOywkl3ddzG+zniqlaiGFthnbcG7Jd1o41uBkMopfD3ICytzDeybA1+9SPicF0naMw8e3cw0Hqn3hBCFUY56SuV2PACVSsXJkyfx9vbOc2CFSVH5di8mOYapB6ay5/YeAF7xeYVpDaZhY563GUCEEEKIwshY9XpxzreKSi4liietVktgYCDh4eF4enrStGlTNJrcDVJ+I/oGm4M28/v137mXeE+/vHGpxgy4H069q4GYo326gVdDqNkPqnYBS3sDnYkQQhiOQR/fU6vVfPnllzg6/vdYQ4qiMGrUKM6fP4+Pj0/uoi6kilIipSgKKy6s4MuTX6JVtPg5+TG/5Xy8HLyMHZoQQghRIIxVrxfnfKso5VJCPI9UXSqBdwJZd3UdB0MPopD2p1pp67KUDXNmwMPrNFFfRq365084c1vo8k1a45QQQpgQgzdKRURE4O7unqOD29vbc+bMmSKRJOVEUUykjkccZ8L+CahQsa7TOlytXY0dkhBCCFEgjNkoVVzzraKYSwnxvG7H3ubHSz+y6domElITALBSuaANr8VrsXEMtjyEpzYM1ejT4FwubaN7l8HFB8xkPCkhhHHJQOcFqKgmUg8SH3A34S5VS6QNep6kTUKNGnONuZEjK1pSUlJYuXIlAAMHDsTcXK6vEIYg95bIq6Jar5syueaiMMvv+iY2OZZN1zax4sIK7ifeB0BJtSfpQQuqPfbm7V5daOVfksdxMUx7pRzRj7X07N2XlsNmorErYdBYhBAip3Jat5sVYEyikHG1dk3XQ2rW0VkEPQrisxaf4WHrYcTIihZFUbh9+7b+vRDCMOTeEkIIURDyu76xt7BnUNVB9PHvw2/Xf+OHcz8QGheKlcfvXE1x5Ktj8USe92LMO28RGv4IgCVHF1Fm+hLmj+1Otwlfg600TgkhTFOeekqFhYVx4MAB7t27h06nS7funXfeMVhwhUVx+HYvIj6Cbpu7EZsci5OlE3OazqFx6cbGDqtI0Ol0XL16FYCKFSuiVsukmEIYgtxbIq9MpV4vTvmWqVxzIfKioOubFF0Kvwb9yuIzi7mbcJfo49HcXng7Q7kn8+9t6ONEt4C3oPEYaZwSQhSYfHt8b/ny5YwYMQILCwtKlCiRbrpRlUrFjRs38h51IVVcEqk7sXd4d++7XIq8hAoVb9R4gxEvjECjzt3sIkIIIYQpM4V6vbjlW6ZwzYUobJK0Sfx04SdGtBxBcmRypmVUQBkHFcGj7dC4+8ObR+GZ3ydCCJFfclq357oZf9q0abz//vtER0cTEhJCcHCw/lXUEiSRXhn7Mqx6eRU9KvZAQeHbM98y6q9RPHr8yNihCSGEEEWK5FtCiP9iqbGkXGS5LBukABTgdoxCYKw3NBj5tEEqKQ60qQUTqBBCZCPXjVIJCQn07t1bHoMopiw1lrzf8H1mNZmFlcaKQ2GH6PF7Dy4+vGjs0AotnU5HSEgIISEhGR7PEELkndxbojCTfEuIwsOY9U14eHjOytWZBC8OfLpg1zRY3BSu78mnyIQQImdynekMHTqU9evX50csohDp5NuJNR3X4O3gTUJqAg4W0tU+r1JTU1m+fDnLly8nNVW+sRLCUOTeEoWZ5FtCFB7GrG88PT1zVM66hC08GXIjKRYuboZ7F2FVF1g3CKJD8y9IIYTIRq5n35s9ezavvPIK27dvp3r16hmmPP38888NFpwwbRWdK7K241qCo4MpY18GSBt4MUWbgo25jZGjKzxUKhVubm7690IIw5B7SxRmkm8JUXgYs75p2rQpZcqUITQ0NMuZ/8xdzJn74BPMbpjRsXxHVJb28NbfsHcO/L0ELv4K13ZBy8lQfyRoZIJ2IUTByfVA5zNnzuT999+nUqVKlCxZMsPAm7t37zZ4kKZOBud86rPjn7Hvzj4+b/45fs5+xg5HCCGEyDVTqNeLW75lCtdciMJq06ZNdO/eHSB9w5RKBYpC6ddr4tworQdXa6/WTGswjRLW/8zCF34W/hgHd46lfS5VCzovBI9qBXkKQogiKN9m33N2duaLL74gICDgeWMsMiSRShObHEvX37pyN+Eu1mbWvN/wfV7xecXYYQkhhBC5Ygr1enHLt0zhmgtRmG3atInRo0dz584d/bKyZcsy7v1Z/HjPnUcW27F0/QtUOlysXPih7Q9Pv0DW6eDUKtg5DZKioXxzGLTZSGcihCgqclq357pvpqWlJY0bN36u4ETRZG9hz8+v/MykwEkcCT/C5MDJnL53mvfqvoeFxsLY4QkhhBCFhuRbQojc6NatG6+++iqBgYGEh4fj6elJ06ZN0Wg09IhKJGCZJUHBlbEtvR47W3u8HbyfbqxWQ+1BULEd7JgCLaY8XafTpa0XQoh8kuvfMKNHj+arr77Kj1hEEVDCugSL2ixixAsjAPj5ys8M2jaIsLgwI0dmulJSUli5ciUrV64kJSXF2OEIUWTIvSUKM8m3hCg8TKW+0el03Lp1i5SUFBo3boxGkzaweSkna9aPaEQdz2rEBo/i2rke7L78EIB7CfcIjg5O24G9B3RfCq7/9KDSpsLyl+HggrTGKSGEyAe57il17Ngxdu/ezZYtW6hatWqGgTc3bdpksOBE4aRRa3ir1lvUcKvB5AOTOf/wPD1+78HnLT6nvmd9Y4dnchRF4caNG/r3QgjDkHtLFGaSbwlReJhKfZNdHI425qwcWo/Ra0+x48JdRq4+wZzXqvHH/fe5HHmZDxp9QIfyHdLv8MIvcOtw2uv6bui6KK3hSgghDCjXjVJOTk5069YtP2IRRUzTMk1Z98o6xu0dR1BUEM5WzsYOySSZmZnp7ykzM5ntRAhDkXtLFGaSbwlReJhKffNfcViZa/i674tM2nSODSfu8N6mY/jXSCYhNYH39r/HibsnmFh3IuaafxrBq3eHlHjYNglu7IFvG6c1TFV4qSBPSwhRxOV6oHORkQzOmb1kbTKXIi9Rw60GADpFR2xyLI6WjkaOTAghhMhI6vWCJ9dciIKj0ynM2nqJ7w8EA1qa1T/FqZgNANR0q8lnLT7D3cb96Qb3r8CGIXD3fNrnpuOh5RRQawo+eCFEoZHTuj3Po9bdv3+fAwcOcODAAe7fv5/X3YhiwEJjoW+QAlh2fhndfuvGqXunjBiVEEIIYfok3xJCGJpareJ/HSsztk1FQMP+o3Vo5TQJe3N7Tt8/Ta8tvdLn6W6VYNhfUHdY2ufAebDyVYh/aJT4hRBFS64bpeLj4xkyZAienp40a9aMZs2aUapUKYYOHUpCQkJ+xCiKkBRtCltubOFe4j2GbB/Cygsri/1YLzqdjtDQUEJDQ9HJIJJCGIzcW6Iwk3xLiMLDVOqb3MShUqkY3aYCkzv4A/DbYSea2H6Er5MvDxIfMGTHEA6FHnq6gbkVdPwMXvsBzG0h7h6YWebn6QghiolcN0q9++677Nu3j99//52oqCiioqL47bff2LdvH+PGjcuPGEURYq4xZ83La+hQrgOpSiqfHv+UcfvGEZccZ+zQjCY1NZUlS5awZMkSUlNTjR2OEEWG3FuiMJN8S4jCw1Tqm7zEMaK5Lx++WhWAdYcfU101jTZebfCy96K6W/WMG1TvDq/vhV6rwNIubZl88SOEeA65bpTauHEjP/zwAx06dMDBwQEHBwdefvlllixZwoYNG/IjRkJCQhg6dCjly5fH2toaX19fpk+fTnJycrbbRUREMGDAADw8PLC1teXFF19k48aN6cqUK1cOlUqV7jVnzpx8OQ+RxsbchrnN5jKl/hTM1GbsurmL3n/05krkFWOHZhQqlQonJyecnJxQqVTGDkeIIkPuLVGYGSPfEkLkjanUN3mNY2DDcszultYAtepQBPbRg1nabin2FvYAJKQkkJDyTA9Nt4ppj/QB6LSwti/snQvF/OkHIUTe5Hp6iISEBEqWLJlhubu7e751J798+TI6nY7Fixfj5+fH+fPnGT58OPHx8cybNy/L7QYOHEhUVBSbN2/G1dWVH3/8kZ49e3L8+HFq1aqlL/fhhx8yfPhw/Wd7e/t8OQ/xlEqloo9/H6qWqMq4feO4GXOTflv7MbPJTNqXa2/s8AqUubk5Y8aMMXYYQhQ5cm+JwswY+ZYQIm9Mpb55njj61PNCrYJJm86x8shtUKmZ0dkFnaLjvf3vcT/xPl+3/hpXa9f0G17bBVe3pb3uX4JXvwELm+c/GSFEsZHrnlINGzZk+vTpPH78WL8sMTGRGTNm0LBhQ4MG90T79u1ZtmwZbdu2xcfHh86dOzN+/Hg2bdqU7XaHDh3i7bffpl69evj4+DB16lScnJw4ceJEunL29vZ4eHjoX7a2tvlyHiKjF9xeYP0r62lcujFanRYPGw9jhySEEEIYnTHyLSFE8darrhdzu72ASgUrD9/kwy0XuRN7h7P3z3Lx4UX6/dGP61HX029UqT10/grU5nDhF1jWAWLCjHMCQohCSaXkcpTpc+fO0b59e5KSkqhRI21GtTNnzmBlZcWOHTuoWrVqvgT6b1OnTmX79u0cP348yzJt27bFwsKClStX4uTkxLp16xg6dChnzpzBz88PSHt87/Hjx6SkpODl5UXfvn0ZO3YsZmZZdyJLSkoiKSlJ/zkmJoayZcvKNMbPQafoOP/gPC+4vQCAoig8fPww47cxQgghRD7L6RTG+clU8q2CYgrXXAiR5ue/bzFx4zkAXm/mQ7/GNry5+01uxtzE3sKer1t/TS33Wuk3CjkIP/eHxEiw84A+P0Lp2kaIXghhKnJat+e6UQrSupSvWbOGy5cvA1C5cmX69euHtbV13iPOhaCgIGrXrs28efPSPXb3b1FRUfTq1YudO3diZmaGjY0N69evp23btvoyn3/+OS+++CIuLi4cOnSIyZMnM3jwYD7//PMs9/vBBx8wY8aMDMslkTKcDVc38Pnxz5nZZCatvFoZO5x8lZqaqh8fpHv37tk2iAohck7uLZFXptJAYux8qyCZyjUXIi9Mpb4xZByrj9xk6q/nAXizpS/Dm3vw9u63OX3/NJYaSz5t9iktvVqm3ygyGH7qDfcvg5kVdF8K/h3zHIMQonDLad2e699U+/fvp1GjRhkag1JTU9m/fz/NmjXL8b4mTZrE3Llzsy1z6dIl/P399Z9DQ0Np3749PXr0yLZBCmDatGlERUXx559/4urqyq+//krPnj0JDAykevW0wfzeffddffkXXngBCwsLRowYwezZs7G0zHya08mTJ6fb7klPKWEYiqKwPXg7sSmxjN4zmsFVB/POi+9gpi6af1DqdDr9Hxwybb0QhiP3lijMDJlvCSHyl6nUN4aMo38Db7Q6hembL/D1nuvYWJjxXdvvmLBvAvvu7GPM3jFMbzidbhW6Pd3IpTwM3QUbh8K1nbB1Avi2AvOi15AuhDCcXPeU0mg0hIeH4+7unm75w4cPcXd3R6vV5nhf9+/f5+HDh9mW8fHxwcLCAoCwsDBatGhBgwYNWL58OWp11kNiXb9+XT8o+rNd3Nu0aYOfnx+LFi3KdLsLFy5QrVo1Ll++TKVKlXJ0HvLtnuGlaFP4/MTnrL60GoDaJWvzabNPcbNxM3JkhqfVajl9+jQANWvWRKPRGDcgIYoIubdEXplCvW7IfKswMIVrLkRemUp9kx9xfLf/OrO2pjV0vf9KFQY2KsuHhz/kl6BfcLd2Z3PXzdia/2s8Xm0q7JgCLw4Ej2rPHYMQonDKt55SiqJkOsXow4cPcz1AuJubG25uOWtkCA0NpWXLltSuXZtly5Zl2yAF6Gem+Xc5jUaT7TcHp0+fRq1WZ0gCRcEy15gzsd5EarrX5P2D73Pi7gl6/N6DT5t/Sl2PusYOz6A0Gg21a8sz90IYmtxbojAzZL4lhMhfplLf5EccrzfzJT5Jy/y/rvHhlovYWGiY0WgGnraetC3XNmODFIDGDF7+5OlnRYGrO6BiO8jk95oQonjLcaNUt25pXTNVKhUBAQHpHm3TarWcPXuWRo0aGT5C0hqkWrRogbe3N/PmzeP+/fv6dR4eHvoyrVu3ZuXKldSrVw9/f3/8/PwYMWIE8+bNo0SJEvz666/s2rWLLVu2AHD48GGOHj1Ky5Ytsbe35/Dhw4wdO5b+/fvj7OycL+cicqdduXZUdK7Iu3vfJSgqiGE7hzGx7kT6Vu5r7NCEEEIIgzNmviWEEJkZ06YCCcmpLAkMZvIv57C3MmdkzZH69YqicCjsEI1KNcq0MZ39n8Kej6F2AHT8HNTSc1kI8VSOG6UcHR2BtF869vb26QbZtLCwoEGDBv85xlNe7dq1i6CgIIKCgihTpky6dU+ePkxJSeHKlSv6HlLm5uZs3bqVSZMm0alTJ+Li4vDz82PFihW8/PLLAFhaWrJ27Vo++OADkpKSKF++PGPHjk03XpQwvvKO5Vnz8hpmHpnJlhtb8HLwMnZIBqUoir6h1c3NLfPKXAiRa3JvicLImPmWEEXJ+fPnqVatYB4dM5X6Jr/iUKlUTHm5MnFJWn46dosxP5/CzsqM5hXTnnhZeHoh3539jsHVBjP2xbEZj2vnDio1nFgOiY+g2xIwy3zsXiFE8ZPrMaVmzJjB+PHjpev4M2QchIKhKAoXIy9StcTTMcLuJdzD3aZwP2qZnJzMrFmzAJgyZYp+DDUhxPORe0vklSnU68Ut3zKFay6KFrVaTd26dRk2bBi9e/fG3t4+345lKvVNfseh1Sm8s/YUf5wNx9pcw+ph9ajt7cKaS2uYc2wOAH38+zCp3iTUqn8NtXLxN9g4DLTJ4NMCeq0BSzuDxieEMC05rduzH5gpE9OnTy82CZIwLSqVKl2D1M6QnXTY2IENVzeQy7ZVk2NjY4ONjY2xwxCiyJF7SxRWkm8J8Xz27dtH1apVGTduHJ6engwaNIjAwMB8O56p1Df5GYdGreKLnjVpXtGNxBQtQ5Yf59rdWPpV7sf7Dd9HhYqfLv/Eh4c/RKv712QMVV6FfuvBwg5u7IWVndN6TQkhir1c95QC2LBhA+vWrePWrVskJyenW3fy5EmDBVdYyLd7xjFx/0S2Bm8FoLNvZ6Y2mIq1mUw5K4QQ4vmYSr1enPItU7nmouiJj49n3bp1LF++nMDAQPz8/Bg6dCiDBg3Sj00rcichOZV+3x/l1K0oPB2t2DSqEZ6O1vx+/XemHpyKTtHR0acjMxvPxEz9r9FiQk/A6u6QGAmlasGAX8HayRinIYTIZ/nWU2rBggUMHjyYkiVLcurUKerVq0eJEiW4ceMGHTp0eK6ghciN2U1nM/rF0ahVajZf30y/rf0IiQ4xdlhCCCHEczNWvtW5c2e8vLywsrLC09OTAQMGEBYWlmX5yMhI3n77bSpVqoS1tTVeXl688847REdH51uMQuSGra0tgwcPZt++fVy9epUePXrw9ddf4+XlRefOnY0dXqFkY2HG0kF18XGzJTz6MYOWHiM6IYVOvp34pNknmKnM+OPGH0w7OC1jj6nStSFgC9iUgIjzEHHWOCchhDAZuW6U+uabb/juu+/46quvsLCw4L333mPXrl2SgIgCp1apGVZ9GEteWoKLlQvXHl2j9x+92XVzl7FDE0IIIZ6LsfKtli1bsm7dOq5cucLGjRu5fv063bt3z7J8WFgYYWFhzJs3j/Pnz7N8+XK2b9/O0KFD8y1GIfLKz8+PKVOmMHXqVOzt7fnjjz+MHVKh5Wxrwcoh9SjpYMnVu3EMX3mcxyla2pVrx2ctPsNMZcaOkB1cfnQ548Ylq8LAzdD7RyjfrOCDF0KYlFw/vmdjY8OlS5fw9vbG3d2dXbt2UaNGDa5du0aDBg14+PBhfsVqsqTLufHdS7jHhH0TOHkv7XGG4dWH886L7xg5qpxJTU3lt99+A+DVV1/FzCzHk2IKIbIh95bIK1Oo100l39q8eTNdunQhKSkJc3PzHG2zfv16+vfvT3x8fI7vO1O45qJo279/P0uXLmXjxo2o1Wp69uzJ0KFDadCgwXPv21TqG2PEcTkihh6LDhP7OJV2VUvyTb/aaNQqdoTswNbclialm+RsR0F/QZk6YOWYvwELIQpMvj2+5+HhQWRkJABeXl4cOXIEgODg4EI/2LQovNxt3Pmh3Q8MrjoYAD8nPyNHlHM6nY5z585x7tw5dDqdscMRosiQe0sUZqaQb0VGRrJmzRoaNWqU4wYpQJ98ZvcHcVJSEjExMeleQhhaWFgYs2bNomLFirRo0YKgoCAWLFhAWFgYS5YsMUiDFJhOfWOMOPw9HFgysA4WGjU7Ltzl/d/OoygK7cq1S9cgdfXR1ax/d13cDGt6wKpu8FievBGiuMl1o1SrVq3YvHkzAIMHD2bs2LG89NJL9OrVi65duxo8QCFyykxtxrt13mVDpw287POyfnl4XLgRo/pvGo2G9u3b0759ezQajbHDEaLIkHtLFGbGzLcmTpyIra0tJUqU4NatW/qeFznx4MEDPvroI15//fVsy82ePRtHR0f9q2zZss8bthDpdOjQAW9vb7766iu6du3KpUuXOHDgAIMHDzb4zJamUt8YK44GPiX4sndNVCpYc/QWC3cHpVv/x40/6Pl7T745803mO3AuB1YOEHocVr8Gj6WRWojiJNeP7+l0OnQ6nf7br7Vr13Lo0CEqVKjAiBEjsLCwyJdATZl0OTddh8MOM+qvUYysMZJh1YehVuW6HVYIIUQxYwr1uiHzrUmTJjF37txsy1y6dAl/f38grWEpMjKSmzdvMmPGDBwdHdmyZQsqlSrbfcTExPDSSy/h4uLC5s2bs+1dlZSURFJSUrpty5YtK7mUMJjOnTszdOhQXnnlFfliooCsPBzC+79dAGBOt+r0rucFwJpLa5hzbA4Ao18czbDqwzJuHH4GVnSGx1FQpi7035TWUCWEKLRymk/luFFq6dKldO7cGVdXV4MFWVSYQvIqMvfZ8c9YfmE5AE1LN2V209k4Wsqz6kIIIbJmzHo9P/Kt+/fv/+cYVD4+Ppk2dN25c4eyZcty6NAhGjZsmOX2sbGxtGvXDhsbG7Zs2YKVlVWuYpRcSuSnwMBAFi9ezPXr19mwYQOlS5dm1apVlC9fniZNcjjmkciReTuusHBPEGoV/DCoLi393QH44dwPfHnySwAm1p1I/yr9M278bMNU2fow4BewMGyvNiFEwTH4mFKrV6+mTJkyNGrUiLlz53Lp0iWDBCpEfhpXZxwfNvoQS40lgaGB9Py9J+cfnDd2WOkoikJUVBRRUVEyLpsQBiT3liiM8iPfcnNzw9/fP9tXVj2vnoxL82yvpn+LiYmhbdu2WFhYsHnz5lw3SAmRnzZu3Ei7du2wtrbm1KlT+p/l6OhoZs2aZZBjmEp9YwpxjGtbkR61y6BT4K0fT3IhLG2MqKHVhzKyxkgA5v49l3VX1mXc2LMGDPwtbbDz20fh5/6QmvXvHiFE0ZDjRqndu3cTHh7OqFGjOHHiBPXr16dChQqMGzeO/fv3yyCywmR1rdCV1S+vpqx9WcLiwxi4bSBrL681mT9SU1JS+PLLL/nyyy9JSUkxdjhCFBlyb4nCyJj51tGjR1m4cCGnT5/m5s2b7N69mz59+uDr66vvJRUaGoq/vz/Hjh0DnjZIxcfH88MPPxATE0NERAQRERFotdp8i1WInJo5cyaLFi1iyZIl6R4pbdy4MSdPnjTIMUylvjGFOFQqFbO6VaexXwnik7UMWf434dGJAIysMVI/KdHMIzPZHrw94w5K1YR+G8HcBq7vhstbCjB6IYQx5GqAHWdnZ/r378+6det48OABX331FYmJifTr1w93d3cGDhzIhg0biI+Pz694hcgTfxd/fn7lZ1p7tSZFl8LHRz/m/UPvGzssPXNz81zNbCSEyBm5t0RhZKx8y8bGhk2bNtG6dWsqVarE0KFDeeGFF9i3bx+WlpZA2h+9V65cISEhAYCTJ09y9OhRzp07h5+fH56envrX7du3DRqfEHlx5coVmjVrlmG5o6MjUVFRBjuOqdQ3phCHuUbNN/1qU8HdjrsxSQxZfpy4pFRUKhVja4+lV6VeKChMPjCZmzE3M+6gbF3ovQbafgzVXiv4ExBCFKhcD3SelePHj7N582Z+++03unfvzrRp0wyx20JBxkEoPBRFYeXFlXxx4gsm1ptIH/8+xg5JCCGEiTHler2o5lumfM1F4ebj48N3331HmzZtsLe358yZM/j4+LBy5UrmzJnDxYsX8/X458+fp1q1avl6DFN1OzKBrt8c4kFcEi0rubFkYB3MNGq0Oi2TAidRtURVAqoF5GxncffBzi1f4xVCGJbBBzofP348w4YN08/Mkp2UlBSjt9AXJEmkCp8bUTco71heP5PQ7djblLWX6aiFEEIYt14vrvmW5FIiv8yePZvVq1ezdOlSXnrpJbZu3crNmzcZO3Ys06ZN4+23387X46vVaurWrcuwYcPo3bs39vb2+Xo8U3P6dhS9vzvM4xQdAxp48+GrVVGpVCiKkm5Gz39/Tif0JKzpDg3fgqbvFlDkQojnZfCBzn/77TeqVq1Ko0aNWLp0abZdxotKgiSKLh8nH33Fd/7BeV799VVmHZ1FilbGnRFCCGE8km8JYViTJk2ib9++tG7dmri4OJo1a8awYcMYMWJEvjdIAezbt4+qVasybtw4PD09GTRoEIGBgfl+XFNRs6wTX/aqhUoFq47c5IcDwQDpGqAuPLxAv639uJ9wP/Od3D4KCQ/hrxlwfGlBhC2EKEA5bpS6du0ae/bsoWLFiowePRoPDw+GDBnCoUOH8jM+IfLdybsnSdGl8NPlnwjYHkB4XHiBHj81NZXNmzezefNmUlNTC/TYQhRlcm+JwkjyLSEMS6VS8b///Y/IyEjOnz/PkSNHuH//Ph999JHBjpFdfdO0aVOWLl1KeHg4X331FSEhITRv3pyKFSsyd+5cIiIiCiQOY2pfzYMpHSoD8PHWS2w///ScFUVhxqEZnHtwjjf+fIOY5JiMO2gwEpqOS3u/5V04v7EgwhZCFJBcDXTerFkzli9fTkREBPPnz+fatWs0adKEypUrM2/ePO7evZtfcQqRbwZWHcjCVguxt7Dn7IOz9NzSk4OhBwvs+DqdjpMnT3Ly5EmZxVIIA5J7SxRWkm8JYXgWFhZUqVKFevXqYWdnZ9B956S+sbW1ZfDgwezbt4+rV6/So0cPvv76a7y8vOjcuXOBxWEsw5qWp38DLxQFxvx8ijO3o4C0RsPPWnxGCasSXH10lXd2v0OSNinjDlpNgzpDAAU2vQ7XdhVo/EKI/PPcA50HBQWxbNkyFi1aRFxcHElJmfwSKeJkHISi4U7sHcbtG8fFhxdRoWJEjRG88cIbaNSafD2uVqvl4MG0RrDGjRuj0eTv8YQoLuTeEnllivV6Uc+3TPGaC5FTealv4uPjWbNmDZMnTyYqKgqtVmuUOApSqlbH0BXH2Xf1Pq52lvz2VmNKO1kDcDnyMoO3DyYuJY7WXq35rPlnGXNwnRY2DU/rKWVuAwF/QOkXjXAmQoicMPiYUpmJj48nMDCQffv28ejRI3x8fJ5nd0IYVRn7MqzssJKeFXuioLDozCLe3P0mWt3zJwnZ0Wg0NGvWjGbNmplc8iBEYSb3ligqJN8SwrTlpr7Zv38/AQEBeHh4MGHCBLp166ZvSCrIOIzBTKPm634v4u9hz4O4JIatOE58Utpjhv4u/ixotQBztTl/3fqLmUdnkqHvhFoDXRaBbytISYAfe0LUbSOciRDCkPLUKHXgwAGGDBmCp6cn77zzDhUrViQwMJBLly4ZOj4hCpSlxpJpDacxq8ksrM2sqelWM997SgkhhBCZkXxLiOfz4MEDPvnkE7p27UrDhg1p2LAhXbt25dNPP+X+/SwG1c4HYWFhzJo1i4oVK9KiRQuCgoJYsGABYWFhLFmyhAYNGhRYLMZmZ2nGDwF1cbWz4FJ4DGN/Po1Ol9b4VNejLnObzUWFig1XN/DD+R8y7sDMAnquBI/qUL452LkX8BkIIQwtx4/vhYeHs2LFCpYvX87Vq1dp0KABQ4YMoXfv3gZ/LruwkS7nRdPtmNuUti+NWpXWdhsSHYK3g3fW09XmkaIoJCQkAGBjY2Pw/QtRXMm9JfLKmPV6cc23JJcShvb333/Trl07bGxsaNOmDSVLlgTg7t27/PXXXyQkJLBjxw7q1Knz3MfKrr7p0KEDf/75J66urgwcOJAhQ4ZQqVKl5z5mbuMwNSduPqLPd0dI1uoY1cKX99r769f9eOlHZh+bTbty7fi02aeZn0diFFg6gPq5HvwRQuSjnNbtOW6UMjMzo0SJEgwYMIChQ4dSuXJlgwVb2EkiVfTdiLpB7z9606xMM2Y0moGtua3B9p2cnMysWbMAmDJlChYWFgbbtxDFmdxbIq+MWa8X13xLcilhaA0aNKBGjRosWrQoQ6OGoii88cYbnD17lsOHDz/3sbKrbzp37szQoUN55ZVX8v2RusJW7/1y6g5jfz4DwBe9atC1Vhn9un2399G0TFP9l8PZirsHR76FVlPTHvETQpiEnNbtZjnd4bp16+jcuTNmZjneRIgi42LkRVK0KewI2cGVyCt80eIL/Jz9jB2WEEKIIkbyLSEM48yZMyxfvjzTXjYqlYqxY8dSq1atfI9j8+bN+veBgYEsXryY69evs2HDBkqXLs2qVasoX748TZo0yfdYTE3XWmW4djeOb/ZeZ+KGc3i52FLb2xmA5mWb68s9evyIuOQ4yjqUzbgTbSqs6Az3L0FSLLz8KZhwDzEhREZ5mn3v+vXrLFu2jOvXrzN//nzc3d3Ztm0bXl5eVK1aNT/iNGny7V7xcPreacbtG8e9hHtYm1nzfsP3ecXnFWOHJYQQwsBMpV4vTvmWqVxzUXSUL1+eGTNmMHDgwEzXr1y5kvfff5+QkJACiWfjxo0MGDCAfv36sWrVKi5evIiPjw8LFy5k69atbN26tUDiMDU6ncIbq0+w8+JdXO0s+PXNxpRxttGvvx17m5F/jkSr07Km4xpcrFwy7uTib7BuEKBAmxnQZEyBxS+EyFq+zb63b98+qlevztGjR9m0aRNxcXFA2rcR06dPz3vEQpi4mu41Wd9pPQ09G5KYmsjkwMl8dPgjkrXJxg5NCCFEESP5lhDPZ/z48bz++uuMHj2azZs3c/ToUY4ePcrmzZsZPXo0b7zxBu+9916BxTNz5kwWLVrEkiVLMDc31y9v3LgxJ0+eLLA4TI1areKLXjWp7OnAg7jkdDPyAdiY2ZCqS+VO3B3e3v02j1MfZ9xJlVeh/ey0939Oh7PrCyh6IYQh5LpRatKkScycOZNdu3ale065VatWHDlyxKDBCWFqXKxc+LbNt4ysMRIVKtZdXcfAbQMzryCFEEKIPJJ8S4jn8+abb7JixQqOHj3Ka6+9pp9977XXXuPo0aMsX76cUaNGFVg8V65coVmzZhmWOzo6EhUVVWBxmCJbSzO+H1QHVztLLkfEMuaZGflKWJfgmzbf4GDhwNn7Z5lyYAo6RZdxJw1GQsO30t7/OhKC9xfgGQghnkeuG6XOnTtH165dMyx3d3fnwYMHBglKCFOmUWsYVXMU37T5BkdLR2q518LKzCrP+0tNTWX79u1s376d1NTU/95ACJEjcm+JwkzyLSGeX69evThy5AgJCQmEhoYSGhpKQkICR44coWfPngY7Tk7qGw8PD4KCgjIsP3DgAD4+PgUWh6kq7WTN4gG1sTBTs+viXT7deUW/zsfRh/kt52OuNmfXzV18ceKLzHfy0kdQtSvoUuDn/nD/agFFL4R4HrlulHJyciI8PDzD8lOnTlG6dGmDBCVEYdCkdBM2dNrAu7Xf1S+7EX2DVF3ukgCdTseRI0c4cuQIOl0m3/wIIfJE7i1RmEm+JYThmJub4+npiaenZ7pH5wwlJ/XN8OHDGT16NEePHkWlUhEWFsaaNWsYP348I0eOLLA4TFltb2c+ee0FAL7de53fTofq19XxqMNHjT8CYPmF5fx8+eeMO1CrocsiKFsfHkenPconhDB5uZ7apXfv3kycOJH169ejUqnQ6XQcPHiQ8ePHZzmQoBBFlYeth/59eFw4A7cNpJJzJeY2m4urtWuO9qHRaGjatKn+vRDCMOTeEoWZ5FtCPL9Lly5x5MgRGjZsiL+/P5cvX2b+/PkkJSXRv39/WrVqZZDj5KS+mTRpEjqdjtatW5OQkECzZs2wtLRk/PjxvP322wUWh6nrUqs0V+7G8u3e67y34Sw+rnZUL+MIQEefjoTGhfLVqa+YfWw25R3LU8+zXvodmFtB7x/hzw+g3ccFfwJCiFzL9ex7ycnJvPnmmyxfvhytVouZmRlarZa+ffuyfPnyQvsL8HnIjDEC4GDoQcbuHUtiaiJu1m7Maz6PF0u+aOywhBBC5JIp1OvFLd8yhWsuipbt27fz6quvYmdnR0JCAr/88gsDBw6kRo0a6HQ69u3bx86dOw3WMJVTycnJBAUFERcXR5UqVbCzsyvQ4xcGWp3CsBV/s+fKfTwdrdj8VhPc7C0BUBSFqQenEhEfwectPsfR0vG/d6jTgkoNKlU+Ry6EeFZO6/ZcN0o9cfv2bc6dO0dcXBy1atWiQoUKeQ62sJNESjxxI+oGY/eO5Ub0DTQqDWNrj2VglYGopBIUQohCw5Tq9eKSb5nSNRdFQ6NGjWjVqhUzZ85k7dq1jBo1ipEjR/Lxx2m9ZyZPnsyJEyfYuXOnkSMVmYl5nEKXrw9y4348dbyd+XF4AyzM0kaeSdYmo1KpMFfn4FHMpFjYMATK1IPmE/I5aiHEs3Jat+d6TKknypYty8svv0zPnj3zPUEKCQlh6NChlC9fHmtra3x9fZk+fTrJycnZbnf9+nW6du2Km5sbDg4O9OzZk7t376YrExkZSb9+/XBwcMDJyYmhQ4fqp10WIrd8nHz4qeNPdCjfAa2iZd7xeYzdO5bY5Ngst1EUheTkZJKTk8ljG7EQIhNyb4mioCDzLSGKkgsXLhAQEABAz549iY2NpXv37vr1/fr14+zZswY5lqnUN6YShyE4WJmzZGAd7K3MOH7zEdM3n9efk4XGQt8glZCSwLdnviVFm5L5jq7ugGs7Yc9MOLehoMIXQuRCjhql3n33XeLj43O808mTJxMZGZnnoP7t8uXL6HQ6Fi9ezIULF/jiiy9YtGgRU6ZMyXKb+Ph42rZti0qlYvfu3Rw8eJDk5GQ6deqUbuC/fv36ceHCBXbt2sWWLVvYv38/r7/+usFiF8WPjbkNc5vO5X/1/4eZ2oy/bv1F7y29iXoclWn5lJQUZs2axaxZs0hJyaJCFULkmtxborAxdr4lRFHzpKe6Wq3GysoKR8enj3rZ29sTHR1tkOOYSn1jKnEYiq+bHQv61EKlgp+O3Wb10Vvp1iuKwlu73+Kb09/w8dGPM2+Iq94dGr6V9v7XUXD7WAFELoTIjRw1Ss2fP5+EhIQc7/Trr78mKioqrzFl0L59e5YtW0bbtm3x8fGhc+fOjB8/nk2bNmW5zcGDBwkJCWH58uVUr16d6tWrs2LFCo4fP87u3buBtMEPt2/fzvfff0/9+vVp0qQJX331FWvXriUsLMxg8YviR6VS0du/Nyvbr8TT1pMabjVy9sy7EEKIYsvY+ZYQRUm5cuW4du2a/vPhw4fx8vLSf7516xaenp75Hsfbb79NYGBgvh+nqGpZyZ2J7f0BmLH5AkduPNSvU6lUBFQNQK1Ss/HaRlZeXJn5Tl76ECq9DNok+KkPPAopgMiFEDmVo9n3FEWhYsWKOR4XJzff8uVVdHQ0Li4uWa5PSkpCpVJhaWmpX2ZlZYVarebAgQO0adOGw4cP4+TkRJ06dfRl2rRpg1qt5ujRo3Tt2jXLfSclJek/x8TEGOCMRFFU3a06615Zh4XGQn//BEcH42nriZWZFZA2TfGTXn/5MU2xEMWV3FuisDHFfEuIwmrkyJFotVr952rVqqVbv23bNoMNcp5dffP111/zzTff4Ovry9ChQxk0aBAeHh6Z7SZf4yjMRjTz4WJYDJvPhDFqzUk2v9WYMs42ADQr04zxdcbzyd+f8NnxzyjnUI7mZZun34FaA92WwLL2EHEOfuwFQ3eClXxhLIQpyFGj1LJly3K945IlS+Z6m5wKCgriq6++Yt68eVmWadCgAba2tkycOJFZs2ahKAqTJk1Cq9USHh4OQEREBO7u7um2MzMzw8XFhYiIiCz3PXv2bGbMmGGYkxFFnpOVk/595ONIhu8cjpOlE5+3+BwvBy9UKhUWFhbGC1CIIkruLVHYmFq+JURh9sYbb2S7ftasWQY71n/VNzt37uT3339n3rx5TJs2jQ4dOjB8+HBefvll1Oo8D/Gb6zgKK5VKxdzXXuDGgzjOh8bw+soTbBjZEBuLtD9l+1fuz/Wo62y8tpH39r/HqpdXUdG5YvqdWNpBn5/h+9Zw/3La4Od916U1WAkhjCrPs+8ZwqRJk5g7d262ZS5duoS/v7/+c2hoKM2bN6dFixZ8//332W67c+dORo4cSXBwMGq1mj59+nDx4kXq1avHt99+y6xZs1ixYgVXrlxJt527uzszZsxg5MiRme43s55SZcuWlRljxH86/+A8b/71JpGPI7Ezt2Nmk5m09mpt7LCEEEI8Q2aCK3hyzUVRpVar9V+Ep6Sk8Msvv7B06VL+/PNPSpYsSUBAAIMHD8bPz8/YoZq8sKhEOi88wIO4ZDq+4MnCPrX0PUtTdCm8sesNjkUco5RtKdZ0XIOrtWsmOzkFSzuATQkYsh2cyhbwWQhRfOS0bjdqo9T9+/d5+PBhtmV8fHz0Lf5hYWG0aNGCBg0asHz58hx/s/DgwQPMzMxwcnLCw8ODcePGMWHCBJYuXcq4ceN49OiRvmxqaipWVlasX78+y8f3/k0SKZEbd+PvMn7feE7fPw3AQP+BvBDzAmZqM1q0aIFGI9/YCGEIWq2WvXv3Asi9JXJF6vWCJ9dc5Ifw8HC+/fZbDhw4QHh4OGq1Gh8fH7p06UJAQIDB6oXs6ptnG6WedevWLZYuXcry5cu5fft2ukcN8yOOouLvkEj6LjlCilZhcgd/RjT31a+LToqm7x99uRV7izZebfii5ReZ7yToL/CoDnbuma8XQhhETut2w/UXzQM3Nzf8/f2zfT1pkAoNDaVFixbUrl2bZcuW5aqrq6urK05OTuzevZt79+7RuXNnABo2bEhUVBQnTpzQl929ezc6nY769esb9mSF+EdJ25Isbb+UgVUGArD8/HLeW/4e23dvN0hCIoRIo9VqCQwMJDAwUO4tIYQoZo4fP07lypXZunUrKSkpXLt2jdq1a2Nra8v48eNp1qwZsbGxBjlWXuobLy8vPvjgA4KDg9m+fbvR4ihs6pZzYXqnqgDM3X6ZwGv39escLR1Z2HohDTwbMLHexKx34tf6aYOUokCMTHAlhDEZtVEqp540SHl5eTFv3jzu379PREREunGfQkND8ff359ixp9N8Llu2jCNHjnD9+nVWr15Njx49GDt2LJUqVQKgcuXKtG/fnuHDh3Ps2DEOHjzIW2+9Re/evSlVqlSBn6coPszV5kyoO4HPW3yOnYUd0R7R7NDtICxeKkUhDEWtVtOgQQMaNGhg0DE7hBBCmL4xY8YwduxYjh8/TmBgIMuXL+fq1ausXbuWGzdukJCQwNSpUw1yrOzqG29v72x7LKlUKl566aV8j6Mo6Vffi151yqJT4K0fT3Hr4dNZS8s7lmdJ2yV42OZgMPmUx/DrSFjcHKLv5GPEQojsGPXxvZxavnw5gwcPznTdk/BDQkIoX748e/bsoUWLFkDamFXLly8nMjKScuXK8cYbbzB27Nh0s9pERkby1ltv8fvvv6NWq3nttddYsGABdnZ2OY5PupyL5xESHcK7+96llG0pFrRagFpVdJMIIYQoDKReL3hyzYWh2djYcP78eXx8fADQ6XRYWVlx+/ZtSpYsya5duwgICCA0NNTIkYq8SErV0mvxEU7fjsLfw55NoxrpBz5/IkWXwqd/f0prr9bU98zkKZikOFjaDu6eB48X0saYsrAtoDMQougrFGNKFRWSSInnlZiaSKouFXsLewBuxdzC0dIRR0uZqlYIIQqa1OsFT665MLRy5cqxZs0aGjduDKSNL1W6dGni4+OxtrYmJCSEypUrk5iYaORIRV5FRD/mla8O8CAuiU41SrGgd810nQ++P/c980/Ox9HSkZ86/kRZ+0wGNY+6Bd+1hIQHUOVV6L4cinAvMyEKUk7rdrMs1zyjW7duOT7wpk2bclxWCJHG2sxa/z4+JZ43/3qTFF0Kn7f4nColqhgxMiGEEAVF8i0hDKdLly688cYbfPrpp1haWvLRRx/RvHlzrK3Tcq4rV65QunTpAoklMTGREydO4OLiQpUq6fO6x48fs27dOgYOHFggsRQlHo5WfNv/Rfp8d4Tfz4RRvbQDrzd7OvB5/8r9+evmX5x/eJ53dr/D6pdXY2v+r55QTl7QazWs6AQXf4P9n0CLSQV8JkIUbzlqBnZ0dMzxSwiRO8nJyXzwwQd88MEHJCcncy/hHim6FELjQhmwdQDrr65HOjQKkXv/vreEMHWSbwlhODNnzqRKlSp06tSJ1q1bk5SUxNKlS/XrVSoVs2fPNsixsqtvrl69SuXKlWnWrBnVq1enefPmhIeH69dHR0dnOUyJIeMoqtIGPk9r6Juz7TIHrj3Qr7Mys+LLll/iZu1GUFQQUwKnoFN0GXfi3RBe+Wemvr2z4cKvBRC5EOKJHPWUWrZsWX7HIYT4R3nH8vz8ys9MPTCVvXf28uHhDzl97zRTG0xN16NKCCFE0SL5lhCGY2dnx88//8zjx49JTU3NMF5s27ZtCySOiRMnUq1aNY4fP05UVBRjxoyhcePG7N27Fy8vrwKJoajr38Cbc6HRrDt+h7d+OsnvbzWhrIsNkDbr9Rctv2Dw9sHsvr2bb898y5s138y4kxcHwL1LcORr+OUNcPEBzxcK+EyEKJ5kTCkDkHEQxPNQFIWEhLRZQ2xsbPTPwusUHcvOL2PBqQXoFB1+Tn580eILyjmWM2K0QhQeWd1bQvwXqdcLnlxzUZhlV9+ULFmSP//8k+rVq+vLjho1iq1bt7Jnzx5sbW0pVaoUWq02X+Mo6h6naOn13RHO3I6isqcDm0Y2wtri6ayHvwX9xtSDabMtft7ic17yzmTGQ20q/NgTwk6lPdJXrnFBhS9EkZSvA51v2LCBdevWcevWrQxdQ0+ePJn7aAs5SaREfvo74m8m7JvAw8cPsTW3ZXn75fi7+Bs7LCGEKLJMpV4vTvmWqVxzUXy0adOGGzducOPGjXw9joODA0ePHqVy5crplr/11lv89ttv/Pjjj7Ro0cIgjVLFXXh0Ip2+OsCDuGRerVmKL3ulH/j8k78/YdXFVbhbu7P1ta1Yaiwz7iTxETyOAWfvAoxciKIpp3V7rqcWWLBgAYMHD6ZkyZKcOnWKevXqUaJECW7cuEGHDh2eK2ghREZ1PeqyvtN6apesTSXnSvg6+f73RkIIIQo1ybeEyF9du3Zl0KBB+X4cf39/jh8/nmH5woULefXVV+ncuXO+x1BceDpa802/2pipVfx2Oozlh0LSrX+39rv0rNiT79t9n3mDFIC1c/oGqdAT+RewEALIQ08pf39/pk+fTp8+fbC3t+fMmTP4+Pjw/vvvExkZycKFC/MrVpMl3+6J56HVajl48CAAjRs3RqPRZFouVZdKfEo8jpZpA9yGxYWhVqnxsPUosFiFKExyem8J8W+mUK8Xt3zLFK65EHmVXX0ze/ZsAgMD2bp1a6bbjho1ikWLFqHTZTIAtwHjKE6WHQxmxu8XMVOrWDOsPvV9SmRZVlGUzB9zVBTYORUOL4RXv4Za/fMxYiGKpnzrKXXr1i0aNWoEgLW1NbGxsQAMGDCAn376KY/hClF8abVadu/eze7du7Ptum2mNtM3SCVpkxi7dyy9tvTicNjhggpViEIlp/eWEKbIWPlW586d8fLywsrKCk9PTwYMGEBYWFi224wYMQJfX1+sra1xc3Pj1Vdf5fLly/kWoxCmJrv6ZvLkyVk2SAF88803BmmQ+q84ipOARuXoUrMUqTqFN388RUT04wxldIqOhacW8sWJLzLfiUoFlvZp77eMhTsZe7sJIQwj141SHh4eREZGAuDl5cWRI0cACA4OlmnrhcgDtVrNiy++yIsvvohanbNbMjopGp2iI/JxJCN2jWDRmUWZT3ErRDGWl3tLCFNhrHyrZcuWrFu3jitXrrBx40auX79O9+7ds92mdu3aLFu2jEuXLrFjxw4URaFt27bF+o9iYRoePHjAJ598QteuXWnYsCENGzaka9eufPrpp9y/f99gxzGV+sZU4jA2lUrF7G4v4O9hz4O4JEauOUFyavo8+cTdEyw+u5hlF5ax9UYWjYbN3gP/V0CbDD/3h9iIAoheiOIn14/vDRs2jLJlyzJ9+nS+/vprJkyYQOPGjTl+/DjdunXjhx9+yK9YTZZ0ORfG8Dj1MXOOzWHjtY0ANCndhNlNZuNk5WTcwIQQopAzhXrdVPKtzZs306VLF5KSkjA3N8/RNmfPnqVGjRoEBQXh65v5OIhJSUkkJSXpP8fExFC2bFnJpYTB/P3337Rr1w4bGxvatGlDyZIlAbh79y5//fUXCQkJ7Nixgzp16uR7LA8ePGDp0qUcPnyYiIi0hg0PDw8aNWpEQEAAbm5u+R5DcXTzYTydvjpAzONUBjTw5qMu1dKt/+LEFyw9vxQrjRWrXl6V+URCSbHwfRu4fxnK1IOALWCWxXhUQoh08m32PZ1Oh06nw8zMDIC1a9dy6NAhKlSowIgRI7CwsHi+yAshU0heRfH1a9CvzDwykyRtEp62nnzW/DOqu1U3dlhCCFFomUK9bgr5VmRkJCNHjiQ0NJQDBw7kaJv4+HimTp3Kb7/9xuXLl7OM84MPPmDGjBkZlksuJQylQYMG1KhRg0WLFmUYM0hRFN544w3Onj3L4cP5OwyCKTWOFUd7rtxjyPK/URT4tPsL9KhTVr9Oq9Py5l9vcjDsIKXtSrO249rMv9x9eB2WtITH0fDiQOi0IO3xPiFEtvKtUUpkZArJqyjerkRe4d2973Ir9hZmajMWtVlEfc/66crExcVhZ2dnpAiFEKLwKO71+sSJE1m4cCEJCQk0aNCALVu2UKJE1gMFQ9q4OO+99x7x8fFUqlSJP/74I8teUiA9pUT+s7a25tSpU/j7Z9L7Bbh8+TK1atUiMTExX+Mwlcax4mzBX9f4fNdVLMzUbBrZiGqlHfXropOi6b2lN3fi7lDfsz6L2izCTG2WcSfX/oQfe4Cig46fQd1hBXgGQhROBh3o/OzZs/oB+M6ePZvtSwiRO8nJyXz88cd8/PHHJCcn52kfW1dsZe0ra2nj1QZfR19quNVItz42NpZ27doZIlwhCg1D3FtCFKT8yrcmTZqESqXK9vXswOQTJkzg1KlT7Ny5E41Gw8CBA/9zHKt+/fpx6tQp9u3bR8WKFenZsyePH2ccXPgJS0tLHBwc0r2EMCQPDw+OHTuW5fpjx47pey09r+zqmzNnzjB27NhMZ3hTqVSMHTuW06dP53scxdlbLf1oU9md5FQdI1adIDL+6bVxtHRkfqv5WJtZczT8KF+e+DLznVRoA62ng7kt2MrjlkIYUibNwBnVrFmTiIgI3N3dqVmzJiqVKtPkRKVSyaCWQuRBSkrKc20/ZcoUSpQowecDPicmOQYrMysAHiQ+ICIyghE9R/Dw4UNDhCpEofK895YQBSm/8q1x48YREBCQbRkfHx/9e1dXV1xdXalYsSKVK1embNmyHDlyhIYNG2a5vaOjI46OjlSoUIEGDRrg7OzML7/8Qp8+fXIcpxCGNH78eF5//XVOnDhB69atMzw2t2TJEubNm2ew42VV3zxpHMuqx5YhG8eyi6M4U6tVfNazJq8uPEDIwwTe+ekUK4bUQ6NOayis6FyRjxp/xPh941l7ZS19K/ellF2pjDtqPBqqvQZOZTOuE0LkWY4apYKDg/UD8AUHB+drQEIUN+bm5owZM0b/Pi9WrVrFgAEDcHJyonPnzkDac/Lv7nyXX977BYdkB44fkqlsRfFiiHtLiIKUX/mWm5tbngdSftJz69lH7f6LoigoipKrbYQwtDfffBNXV1e++OILvvnmG31DrkajoXbt2ixfvpyePXsa5FjZ1TcF2Tgm9V7WHK3NWTygDl2+PsiBoAd8tvMK77V/2lDYrlw7wuPCqetRN/MGKUgbR+rZBqmQA1Cmrgx8LsRzyvWYUvv376dRo0b6gTefSE1N5dChQzRr1sygARYGxX3sCWEavv/+e0aPHs0ff/xBixYtiHgUQc2mNXn04BHlJ5VnQIMBTKg7AQtN8ZuMQAghcsMU6nVj5FtHjx7l77//pkmTJjg7O3P9+nWmTZvG3bt3uXDhApaWloSGhtK6dWtWrlxJvXr1uHHjBj///DNt27bFzc2NO3fuMGfOHA4ePMilS5dwd3fP0bFN4ZqLoislJYUHDx4AaT0BC7rB5ueff+aLL77gxIkTGRrH3n33XYM1jon/9vuZMN7+6RQA3w2oTduqHlmWVRQl08cuATi0EHZOhdqDoNP8/AhViELPoGNKPatly5ZERkZmWB4dHU3Lli1zuzshhIEMGzaM6dOn8+qrr7J37156vtoT20Rb/rfsf5g7m7P2yloCtgcQFhdm7FCFEEL8B2PkWzY2NmzatInWrVtTqVIlhg4dygsvvMC+ffuwtEzrCZCSksKVK1dISEgAwMrKisDAQF5++WX8/Pzo1asX9vb2HDp0KMcNUkLkN3Nzczw9PfH09DRKD6JevXpx5MgREhISCA0NJTQ0lISEBI4cOSINUgWsU41SDGlcHoBx684Q/CA+QxlFUVh9cTVv7X4LrS6LR6XdKqX9/8RyOLEin6IVonjIdU8ptVrN3bt3M3QDv3r1KnXq1CEmJsagARYG8u2eeB5arZa///4bgLp166LRaJ5rf5MmTeLTTz+lXLly7N27l7Jly7L/zn4mB04mJjkGR0tH5jSdQ5PSTQwRvhAmy9D3lig+TKFeL275lilccyHyylTqG1OJw9SlaHX0XXKEv0MeUamkPb+82Qgbi6e9UkPjQunyaxceax8zvPpw3nnxncx3tP9T2D0TNBYweBuUqVNAZyBE4ZDTuj1HY0oBdOvWDUgbXDMgIED/jRmk/QI8e/YsjRo1eo6QhSietFot27dvB+DFF1/MUwLx5P58wtzcHFdXV0aPHq1f5pDqQNnXy3Lh4QVG/TmKT5p9Qvvy7Z8veCFMmCHuLSEKmuRbQhQ+z1PftGnThhs3bnDjxg2jxlGcmGvUfN33RTp+dYArd2OZvOkcX/aqqX9Ur7RdaT5o9AGTAiex5NwSqrpWpbVX64w7ajIOwk7D5S3w8wAYsQ/spIeoELmV40YpR0dHIK07o729PdbW1vp1FhYWNGjQgOHDhxs+QiGKOLVaTfXq1fXv8+LJ/flEZrMdOeLI4g6LmXtsLofDD9OotPxRI4o2Q9xbQhQ0ybeEMLw7d+5QqlQp1Gp1uveG8jz1TdeuXfXjXRkzjuLG3cGKr/u+SJ8lR/jtdBi1yjoR8M9jfQAdfTpy/sF5Vl9azf8O/A+fjj6UdyyffidqNXT5Fr6/Cg+uwrpBMGgzaGSQeSFyI9eP782YMYPx48dja2ubXzEVOtLlXBQ2MckxOFik/azGJscSHB3MC24vGDkqIYQwDaZQrxe3fMsUrrkouhwcHDh9+jQ+Pj7p3gvxw4FgPtpyETO1irWvN6BOORf9uhRdCsN3DufE3RP4OPrwY8cfsTXP5Hfyg2vwXUtIjoX6b0CHuQV4BkKYrnwb6Hz69OnFJkESoqh60iClKArvH3yfQdsGsfrianLZRi2EECKfSL4lhOE8m99IriOeNaRxOV55wZNUncKbP57kXuxj/TpztTnzms/D3dqdG9E3mHZwWuY/P64VoNti0FiCe+UCjF6IoiHXjVJ3795lwIABlCpVCjMzMzQaTbqXEKLwSNYlo1FrSFVSmfv3XMbvG09ccpyxwxJCiGJP8i0hiofbt28zZMgQY4dRbKlUKua+9gIV3O24G5PEWz+eIkWr0693tXbl85afY6Y2Y/et3Zx/cD7zHfl3hDFnoXZAwQQuRBGS4zGlnggICODWrVtMmzYNT09P/YBwQoi8SU5O5ssvvwRgzJgxWFhYFNixLTWWfNrsU2q512Le8XnsvLmTq4+u8nmLz6ngXKHA4hAiPxjz3hLieUm+JUTh8Tz1TWRkJCtWrGDp0qVGjaM4s7U049v+teny9UGOBUfyyfbL/K9jFf36Gm41mNFoBh42HlR3q571juw9nr6//TeU8AUbl6zLCyGAPDRKHThwgMDAQGrWrJkP4QhRPCUkJDz3Pi5dusSRI0do2LAh/v7+XL58mfnz55OUlET//v1p1apVptupVCr6Ve5HNddqjNs7jpCYEPr+0Zf3G75PJ99Ozx2XEMZkiHtLCGOQfEuIwiWr+mbz5s3ZbmeIWfdyEofInp+7HfN6vMAbq0+yJDCYWl7OvFzdU7++s2/ndOUVRcn6y4IzP8Nvo8CnJfRdlzYguhAiS7lulCpbtqw8iy2EAZmbmzNq1Cj9+7zYvn07r776KnZ2diQkJPDLL78wcOBAatSogU6no23btuzcuTPLhilI+xZofaf1TAqcxKGwQ0w5MIWY5Bj6Ve6Xp5iEMDZD3FtCGIvkW0IUHtnVN126dEGlUmV7PxuqJ6TUe8+nfTVPRjTzYfH+G0xYf4aKJe3xc7fLUO7367+z8dpGFr+0GEuNZcYdlawCanMI2gX75kDLKQUQvRCFV66bbb/88ksmTZpESEhIPoQjRPGjUqlwd3fH3d09z0nJhx9+yIQJE3j48CHLli2jb9++DB8+nF27dvHXX38xYcIE5syZ85/7cbZy5pvW3zCqxijcbdxpV65dnuIRwhQY4t4Swlgk3xKi8MiuvvH09GTTpk3odLpMXydPniyQOETOTGhXifrlXYhP1jJy9Qnik1LTrY9OiuaTvz/hxN0TzD46O/OdeFSHTvPT3u+bC1e253PUQhRuuW6U6tWrF3v37sXX1xd7e3tcXFzSvYQQBe/ChQsEBAQA0LNnT2JjY+nevbt+fb9+/Th79myO9qVRaxhZcySbu2zG1doVgMepjzkSfsTgcQshhMic5FtCFA21a9fmxIkTWa7/r15UomCZadR81bcW7vaWXLsXx+RN59L9+zhaOjK32VxUqNh4bSMbr27MfEc1ekG919Peb3odHl4vgOiFKJxy/fjek8HzhBCGodVqOX36NAA1a9bM86xKT74RU6vVWFlZ4ejoqF9nb29PdHR0rvZna/50KvLZx2az6domhlUfxps138RMnetfHUIUOEPdW0IYg+RbQhjOlClT9I25z743lOzqmwkTJhAfH5/ltn5+fuzZsyff4xA5525vxdf9XqTPd0fYfCaM2t7ODGpUTr++UalGvF3rbRacWsCso7Pwd/GnqmvVjDtq+zGEn4HbR+HnATBsF1jYZiwnRDGX678sBw0alB9xCFFsabVafv/9dwCqV6+epwSiXLlyXLt2DV9fXwAOHz6Ml5eXfv2tW7fw9PTMavNs6RQdVhorAL4/9z1n759lbrO5+l5UQpgqQ9xbQhiL5FtCGM7kyZMzfW8o2dU3TZs2zXZbW1tbmjdvnu9xiNypW86FyS9X5qMtF5n5x0WqlXaktrezfv3Q6kM5++Ase2/vZezesfz8ys84Wzmn34mZBfRYAYubwb0L8Pto6LYE5NFKIdLJ01QA169fZ+rUqfTp04d79+4BsG3bNi5cuGDQ4IQoDtRqNf7+/vj7+6PO4+wcI0eORKvV6j9Xq1YNM7Onbc7btm3LdpDzbONTqZlcfzKfNvsUGzMbjkUco+fvPTlxN+uu6EKYAkPcW0IYk+RbQhQOplLfmEocRcWQxuXoWN2TFK3Cm2tO8iAuSb9OrVIzq8ksvOy9CI8PZ1LgJLQ6bcadOHhCj+WgsYSSmfSmEkKgUnL5EPO+ffvo0KEDjRs3Zv/+/Vy6dAkfHx/mzJnD8ePH2bBhQ37FarJiYmJwdHQkOjoaBwcHY4cjRL65EX2DcXvHERQVhEalYcyLYxhUdZAMpimEKFJMoV4vbvmWKVxzIYT4t7ikVDovPMCN+/E08i3BqqH10aif5r1XH12l/9b+JKYmsrjNYhqVbpT5jmLCwKFUAUUthGnIad2e6yb0SZMmMXPmTHbt2oWFhYV+eatWrThyJH8GQg4JCWHo0KGUL18ea2trfH19mT59OsnJydlud/36dbp27YqbmxsODg707NmTu3fvpitTrlw5VCpVuldOZikTojjycfRhzctr6OjTEa2i5bMTnzH/5HxjhyWEEEWOMfItIYQQ6dlZmrG4f21sLDQcuv6Qz3ddSbe+onNFPmz8IV+2+DLrBilI3yB19yLERuRTxEIUPrlulDp37hxdu3bNsNzd3Z0HDx4YJKh/u3z5MjqdjsWLF3PhwgW++OILFi1axJQpU7LcJj4+nrZt26JSqdi9ezcHDx4kOTmZTp06odPp0pX98MMPCQ8P17/efvvtfDkPIfLLyZMnCQ4O1n9etWoVjRs3pmzZsjRp0oS1a9ca7Fg25jbMbjKb/7N332FNXW8Ax78Je8lGUBEEHKgobtwDq9ZdO9yjVn/W1tq6R9VW2zqrtmqtta5q1VZbW1fVtk5UxAkuRAEBRVmismQl+f0RDaaAgiQkwPk8T56G3JubN7dezsu557xntt9s7E3teavWWy9/kyAIglAsusi3BKE8unPnjq5DULl7967q75Dnnwv6rWZlKxa+2QCA745G8M919UEO3dy74e/mr/r5hRORwg7COn/Y+S7IcrQSryCUNcXulLKxseH+/fv5Xr906RJVq1bVSFD/1a1bNzZu3EiXLl3w8PCgd+/eTJ48mV27dhX6nlOnThEVFcWmTZvw8fHBx8eHn376ifPnz3PkyBG1fa2srHB2dlY9LCxevCpCVlYWKSkpag9BeFU5OTl88803fPPNN+TkvFrj9O677xIRoVxqdt26dYwZM4amTZvy6aef0qxZM0aPHs2GDRs0FrNEIuGd2u/wV7+/qGZVDYBceS5HYzSzeowgaIImri1B0BVd5FuCUB65ubnh4OCAv78/kyZNYsuWLVy5coULFy5obEGBorY3devWJSoqKt9zTRHtnvb0bliFEU9X4Ju4I5joBwWvqHj8znHePfQuGTkZBR/I3gskBhBzGv79XDvBCkIZU+xOqQEDBjBt2jTi4uKQSCTI5XJOnTrF5MmTGTZsmDZiLNDjx49fuJxrVlYWEokEExMT1WumpqZIpVJOnjyptu/ChQuxt7enUaNGLFmyhNzc3Bd+9oIFC7C2tlY9XF1dS/ZlhApNoVDw6NEjHj169OI7Ky9w69YtatasCcDq1av59ttv+fbbb3n//fdZvnw5P/zwA0uXLtVk2IBy1NQzKy6tYPzR8cw+NZvM3EyNf5YgFJcmri1B0BV9ybcEoay7ffs269ato23btoSHhzNz5kx8fX1p3rw5e/bs0chnFLW9eX6bNtol0e5p18zu3jSubkNqZi5jf75IZo56YfOMnAw+D/ycC/EX+OLMFwX/P3Dwgr6rlc8DV8G1P0ohckHQb8XulJo/fz516tTB1dWVtLQ06tatS7t27WjVqhWzZs3SRoz5hIeHs3LlSsaMGVPoPn5+flhYWDBt2jQyMjJIT09n8uTJyGQytTuP48eP55dffuHo0aOMGTOG+fPnM3Xq1Bd+/owZM3j8+LHqoU/DgoWyx9DQkNGjRzN69Gi1FfOKw9zcXDWdIzY2lubNm6ttb9Gihdr0Pm2oZFwJqUTKn+F/MuSvIcSkxGj18wThZTRxbQmCruhDviUI5YGbmxt9+/bl888/Z/fu3dy5c4eTJ0/i6enJ999/r5HP0Jf2Rl/iKK+MDaV8N7gx9hbGXL+fwme71VdCNTcyZ3G7xRhIDNgXuY8dYTsKPlDd3tBqvPL57nGQGFbwfoJQQRR79b1n7ty5w5UrV0hLS6NRo0aqURrFMX36dBYtWvTCfUJDQ6lTp47q59jYWNq3b0+HDh1Yt27dC9/7999/M3bsWG7fvo1UKmXgwIFcv36d5s2bF9oIbdiwgTFjxpCWlqY2yupFxIoxgq4NHToUExMT1q1bxzvvvEPt2rX54osvVNsXLFjA9u3buXz5slbjCLofxNQTU0nOTMbSyJIv23yJf3X/l79REARBj+hTu66JfKss0KdzLlQMBw4cYPbs2Zw/f77UPtPKyoqQkBA8PDzUngtly6nwJIauD0KugMVvNuCdZuqzZjZe3ciyC8swlBqyudtmfBx98h9Elgtb+kJUADjUhtFHwMSydL6AIJSSorbtxe6UmjdvHpMnT8bc3Fzt9SdPnrBkyRLmzJlT5GMlJiby4MGDF+7j4eGhWnXm3r17dOjQAT8/PzZt2oRUWrSBXklJSRgaGmJjY4OzszOTJk1iypQpBe577do16tevz40bN6hdu3aRji8SKUHX7t27R+vWralevTpNmzbl+++/p0mTJnh7exMWFsaZM2f4448/6N69u9ZjiU+PZ8qJKVxKuATAiHojGN94PEZSI61/tiAIgiboQ7uuyXyrLNCHcy6UT9nZ2WorWD4THh6Oj48PT548KbVYRKdU+bHqyC2+/vsmJoZSdn3QinpVrFXbFAoFE49N5N+Yf3G2cGZHzx3YmtrmP0haAvzQDlLvQ7034K2NIJGU4rcQBO3SWqeUgYEB9+/fx8nJSe31Bw8e4OTkhEwmK+SdJRMbG0vHjh1p0qQJP//8MwYGBsU+xpEjR+jcuTOhoaGFdjht3bqVYcOGkZSUhK1tAb88CiASKaEk5HI5V69eBaB+/fpF7mz9r0ePHrFw4UL27t1LZGQkcrkcFxcXWrduzYQJE2jatKkmw36hHHkO31z4hs3XNwPQx7MPX7b5stQ+XxBAc9eWUPHoQ7uuq3xLV/ThnAvlk7GxMXXr1qVRo0b4+vrSqFEjqlSpwsqVK4mMjGTv3r0l/oyitjfa7pQS7V7pkcsVjNp8niM3EqhuZ87ej9pgbZZ3AzY1O5WB+wcSnRKNn4sfazqvwUBawN+vMUGwqQf4jYXOn0NB+whCGVXUtr3Yk40VCgWSAnpwQ0JCXlh4vCRiY2Pp0KEDbm5ufP311yQmJqq2OTs7q/bx9/dn8+bNqno6GzduxNvbG0dHRwIDA/n444+ZMGGCqkMqMDCQoKAgOnbsiJWVFYGBgUyYMIEhQ4YUuUNKEEoqNzdXtZJknTp1CrybVxQ2NjYsXLiQhQsXajK8V2IkNWJKsyk0cmrEV0FfMayeKMorlD5NXVuCoAu6yLcEoTw6cuQIISEhhISEsHXrVmbMmEFmpnJBlm7dujFnzhzVSt3PlwwpDn1pb/QljopAKpWw/B1feqwMICY5g0k7Qlg7tAlSqfL3tpWxFcs7LGfwX4M5c/8Mx+4eK7ikRfUW8NEFsHUr5W8gCPqjyJ1Stra2SCQSJBIJtWrVUkuUZDIZaWlpvP/++1oJ8p9//iE8PJzw8HCqVaumtu3ZQK+cnBzCwsLIyMhbfjMsLIwZM2aQnJyMu7s7n376KRMmTFBtNzEx4ZdffuHzzz8nKyuLGjVqMGHCBCZOnKiV7yEIBZFIJKq7ZAX9AVKWdXbrTJuqbTA1NAVArpDzd/TfdHHrglQi7t4J2lWery2h/NJlviUI5VGbNm1o06aN6me5XE5YWBjBwcH89ttvnD17lh9//JGEhIRXHoGoL+2NvsRRUVibG/H94Ca8+f1p/g2N54cTkYzt4KnaXtO2JnNbzSUzN/PFNVaf75B6GAWGpmDlrL3ABUHPFHn63k8//YRCoWDkyJF88803WFvnzZs1NjbG3d2dli1bai1QfSaGnAv6IDQ0lDNnztCyZUvq1KnDjRs3+Pbbb8nKymLIkCF06tRJ1yGy/sp6vrn4De2rteerNl9hbWL98jcJgiCUMl226xU13xK5lFBaUlNT2b59O+vWrePChQuqjqj4+HgqV66s1c9esGABY8eOxcbGRu25ULZtPxvDjF1XkEpg6yg/Wnrav9qBbgfAr0PAqS4M3wMGoh6rULZprabU8ePHadWqFUZG4iJ5RiRSgq4dPHiQPn36YGlpSUZGBn/88QfDhg2jYcOGyOVyjh8/zt9//63zjqldt3bx1ZmvyJZnU9WyKks7LKWefT2dxiQIgvBf+tCuV7R8Sx/OuVC+nThxgvXr1/Pbb79hYWFB27Zt+fPPP8tdfTah9CkUCibvvMzvF+/iYGnC/vFtqFzJNN9+F+IvsP7KepZ1WKaaRaAmKRzWdoDsVGj1EXQR9ViFsk1rnVKgHD7+559/EhoaCkC9evXo3bv3KxUfLw9EIiXoWqtWrejUqRNffvklv/zyCx988AFjx47lq6++AmDGjBlcuHCBv//+W8eRQuiDUCYem8jdtLsYSY2Y3nw6b9d6WwwzFwRBb+hLu16R8i19OedC+RIXF8emTZtYv3499+/fp0+fPgwePJguXbpw48YNGjZsKDqlBI14ki3jjdWnuBGXSjN3W7aN9sPIIK9URZYsi9d/f53EJ4m84fUG81rPK/hA1/fAjqHK5+9sgbq9SyF6QdAOrXVKhYeH0717d2JjY1UFw8PCwnB1dWX//v14enq+5Ajlj0ikhJLIyclh7dq1APzvf/97pbvi1tbWXLhwAS8vL+RyOSYmJpw9e5ZGjRoBcPXqVTp37kxcXJxGY39VKdkpfHryU47dOQZAL49ezPKbhbmR+QvfJwjFoYlrS6iY9KFdr2j5lj6cc6F86dWrF4cPH6Zjx44MGjSIvn37YmFhodp+7do1GjRooJFOKX1pb/QljorqdlI6vVeeJDUrl/+182Bmd2+17Wfun2HMP2OQK+TMazWPN2q+UfCBDn0KgavA2Ar+dwwcvLQfvCBoQVHb9mJXGh4/fjyenp7cuXOHixcvcvHiRWJiYqhRowbjx48vUdCCUBEpFAoSExNJTEzkFQYuqjwbaSSVSjE1NVWrQ2JlZcXjx49LHKumVDKuxIqOK5jQZAIGEgP2Ru5l4nGxwICgWZq6tgRBF0S+JQgls3//fvr168fcuXMZPHiwWoeUpulLe6MvcVRUNRwsWPJ2AwDWnojk4FX1m8F+Ln586PshAF8FfUXog9CCD9T5c6jeSjmNb8dQyE7XZtiCoHPF7pQ6fvw4ixcvVluO2N7enoULF3L8+HGNBicIFYGhoSEjRoxgxIgRGBoWeUFMNe7u7ty6dUv1c2BgINWrV1f9HBMTg4uLS4lj1SSJRMLI+iP5scuPOFs4834DsZqUoFmauLYEQVdEviUIJXP69GnMzMzo1KkTtWvXZt68eURERGjls4rS3ty5c0crn13cOATt6lbfhdFtawAwZWcIUUnqHUqjfEbRrlo7smRZTDw2kZTslPwHMTCCtzeChRMkXId9E0B0MgrlWLE7pUxMTEhNTc33elpaGsbGxhoJShAqEqlUiru7O+7u7kilxb4kARg7dqza8PP69eurJSMHDhzQeZHzwjRzbsb+N/bj6+QLKO/y7Y/cT44sR7eBCWWeJq4tQdAVkW8JQsn4+fnx448/cv/+faZNm8bff/9NrVq18PPzY+XKlcTHx2vss4rS3ri5ueHg4IC/vz+TJk1iy5YtXLlyhQsXLjB8+PBSi0PQvqnd6tDM3ZbUrFzGbr1IZk5eji6VSJnfZj5VLatyN+0un578FLlCnv8gVs7w9iaQGCg7qeSi9plQfhW7ptSwYcO4ePEi69evp3nz5gAEBQUxevRomjRpwqZNm7QRp14TdRAEQXN+u/kbcwPn0tCxIV+3/xpnC2ddhyQIQgWjD+16Rcu39OGcC+VfWFgY69evZ8uWLcTHxyORSEqt0Hl0dDSXLl0iODiYS5cucfHiRe7duwdApUqVePjwYanEIZSO+JRMeqwIICktm7ebVGPJ2w3Vtl97cI1hfw0jW57Nsg7LeM3ttUIOdB0q1y2FiAVB87RW6PzRo0cMHz6cvXv3qorn5ebm0rt3bzZt2qRWx6aiEImUUBJyuZybN28CUKtWrQp/Z+vYnWPMDJhJak4qtia2LGy3kFZVWuk6LKEMEteW8Kr0oV2vaPmWPpxzoeKQyWTs3buXDRs2sGfPnhIf71Xbm8DAQIYPH868efMYMGCAzuIQtONUeBJD1wchV8DiNxvwTjNXte27bu0iNTuVYXWHFW0V6tR4kBqChb2WIhYEzdJap9Qzt27dIjQ0FIlEgre3N15eFXdVAJFICSWRnZ3N/PnzAZg5c6aYlgHcSb3DpGOTCE0ORYKEsb5jGdNgDFKJSK6EohPXlvCq9KldDw8PJzRUWQy3POdb+nTOBaG4StLeHDhwgNmzZ3P+/HmdxiFox6ojt/j675uYGErZ9UEr6lV5xRsKd8/DL4OVo6YG/wZSA80GKghaoLXV956pWbMmvXr1omfPnuU2QRKE0iCRSHB1dcXV1bVod0kqAFcrV7Z038KbNd9EgYLVwav54N8PeJgphrYLRSeuLaEsksvlLFq0iNatW9OsWTPWrVtH586d6dWrl8i3BEFPFaW9yc7OLvD1mjVrcu3atVKLQyhdH3TwomNtR7Jy5Xyw9SKPnxRcMzUsOYwZATPIkRdSU9XIDDIfQ8QROL5YixELQul7pZFS69evZ/ny5arVvmrWrMknn3zCqFGjNB5gWSDu7gn65O7du1SpUgWpVKr2vKzaHb6bL898SaYskzp2dfi1569ixJQgCFqly3b9iy++4PPPP6dz586YmZlx6NAhBg4cyIYNG0rl83v37k1wcDAJCQnY2trSuXNnFi1aRJUqVV76XoVCQffu3Tl48CB//PEHffv2LfLnilxKKO+MjY2pW7cujRo1wtfXl0aNGlGlShVWrlxJZGQke/fu1XWIgpY8ysimx4qTxD56Qpe6lflhaBO1TsMsWRbdfu9G0pMkhtYdytRmUws+UMiv8Mf/AIlytFTNzqXzBQThFWltpNScOXP4+OOP6dWrFzt37mTnzp306tWLCRMmMGfOnBIFLQhCydWtW5eoqKh8z8uqPl59+Ln7z7hXcmd8o/GiQ0oQhHJt8+bNrF69mkOHDvHnn3+yd+9etm7dilxewOpMWtCxY0d27NhBWFgYv//+OxEREbz11ltFeu8333wjRmcIQiGOHDnC6NGjMTIyYuvWrXTr1o1atWqxcuVKZDIZc+bMYefOndy4cUPXoQoaZmNuzPdDGmNsIOXv6/GsPRGptt3EwIRZfrMA2HJ9C39H/V3wgRr2h6YjAQXsGgWP7mg5ckEoHcUeKeXo6MiKFSsYOHCg2uvbt2/no48+IikpSaMBlgXi7p6gT6ysrAgJCcHDw0PteVmXI8/BSGqk+nl/5H46unbE3Mhch1EJglAe6bJdNzExITw8HFfXvIK4pqamhIeHU61atVKNBWDPnj307duXrKwsVcH1ggQHB9OzZ0/Onz+Pi4uLGCklCC8hl8sJCwsjODiY3377jfT0dEJCQkhISCi1FQGF0rXlTDSz/7yKgVTC9tF+NK9hp7Z92YVlbLy6EQsjC37p8Qvu1u75D5KbBRu6wr1LULUJvHsADE1K5wsIQjFpbaRUTk4OTZs2zfd6kyZNyM3NLe7hBKHCy8nJYe3ataxdu5acnELmkQtqHVL/RP/D9IDpDNg/gIhHETqMStBn4toSyqLc3FxMTU3VXjMyMtLJv+Hk5GS2bt1Kq1atXtghlZGRwaBBg/juu+9wdnYu0rGzsrJISUlRewhCWfUq7U16ejoBAQEsX76cP//8k4MHD3L//n3u3btXqnEIpWdIi+r08a2CTK5g3LaLJKZmqW0f32g8TSo3IT0nnQnHJvAk90n+gxiawNs/gakNxF6AQ5+WTvCCoEXF7pQaOnQo33//fb7X165dy+DBgzUSlCBUJAqFgnv37nHv3j1ecTHMCsfBzAEnMyduP77NwP0D2R+5X9chCXpIXFtCWaRQKBgxYgT9+vVTPTIzM3n//ffVXtOmadOmYWFhgb29PTExMezevfuF+0+YMIFWrVrRp0+fIn/GggULsLa2Vj2eHxkmCGVNcdqbEydOMHz4cJydnZk1a1a+f/uVK1culTiE0ieRSJj/hg9eTpYkpGYxfvslZPK8/0+GUkOWtFuCvak94Y/C+fLMlwX/f7R1g34/Kp+n3geZGBgilG3Fnr730UcfsXnzZlxdXfHz8wMgKCiImJgYhg0bpnYnbdmyZZqNVk+JIedCScjlcsLDwwHw8vIqcVHy8jp9778ePHnAtIBpBN0PAqB/7f5MbTYVYwOx/LGgpOlrS6g4dNmuv/vuu0Xab+PGjUU+5vTp01m0aNEL9wkNDaVOnToAJCUlkZycTHR0NHPnzsXa2pp9+/YVWC9qz549TJo0iUuXLmFpaQko//B62fS9rKwssrLyRgmkpKTg6uoqcimhTHpZexMXF8emTZtYv3499+/fp0+fPgwePJguXbpw48YNGjZsqJEpe6LdKxvCE1LpveoUGdkyxnX0YnLX2mrbz8WdY9Tfo5Ar5HzT8Rv8q/sXfKDoQKjuB6KWn6CnippPFbtTqmPHjkXaTyKRcOTIkeIcuswSnVKCPqkonVIAMrmM1SGrWXt5LQD17euztMNSqli+fJUoQRCEwpS3dj0xMZEHDx68cB8PDw+MjfN36t+9exdXV1dOnz5Ny5Yt823/5JNPWLFihdofvzKZDKlUStu2bTl27FiRYixv51wQnunVqxeHDx+mY8eODBo0iL59+2JhYaHafu3aNRo0aCDqSFUwu4Nj+fiXYAA2jGhKpzrqI+Q2Xt1IanYqH/p+iIHU4OUHzHwMEgMwsdRCtILwaorathsW98BHjx4tUWCCIAiaYiA14KNGH9HQsSEzAmZw9cFVRhwcwb439okRU4IgCE85Ojri6Oj4Su99turf86Oanjd9+nRGjRql9pqPjw/Lly+nV69er/SZglCe7N+/n0GDBvHJJ58UWJdXqJj6+FblfNRDtpyJZsKvIewf34ZqtnmL97xbv2ijZgGIuwo7hoKLL7y1QYycEsocMaZTEHRMLpcTERFBREREqS35Xd60q9aOnb12Ut++Ph83/lh0SAmAuLYEobiCgoJYtWoVwcHBREdHc+TIEQYOHIinp6dqlFRsbCx16tTh7NmzADg7O1O/fn21B0D16tWpUaOGzr6LIJSmF7U3p0+fxszMjE6dOlG7dm3mzZtHRIR2FmkR7V7ZMqunNw2qWfP4SQ4fbr1IVm7Bo+ViUmJYen4pckUh/0+z0+FRDFzbBWfXajFiQdAO0SklCDqWm5vLli1b2LJli0ZWsJw5cyZ2dnb5npd3VSyrsKX7Fnp49FC9duD2AZIzk3UYlaBLmr62BKG8Mzc3Z9euXfj7+1O7dm3ee+89GjRowPHjxzExUS45npOTQ1hYGBkZGTqOVhD0x4vaGz8/P3788Ufu37/PtGnT+Pvvv6lVqxZ+fn6sXLmS+Pj4UolD0D8mhgZ8N6gx1mZGhNx9zFf7Q/Pt8yT3CcMODGPTtU1suLqh4ANVbwGvfaF8fmgm3DmrxagFQfOKPX1PEATNkkgkqiW0CyoiW1wzZswo8HlFYCjN+5UWeC+QaSem4WjuyNL2S/F18tVdYIJOaPraEoTyzsfH56X1QN3d3V+6qpdY9UuoaIrS3lhYWDBy5EhGjhxJWFgY69evZ/78+cTHx2usjRLtXtnjamfO8v4NGbnpPJsDo2niZksf36qq7WaGZoxrNI65gXNZeWklDRwa0Nylef4D+Y2FO0Fw/U/YOQLGBICFfal9D0EoiWIXOhfyE8U5BUH/hD8MZ8KxCUSlRGEoMWRi04kM8R4ikjRBEF5KtOulT5xzoSKSyWTs3buXDRs2sGfPHl2HI+jQkkM3+O5oBObGBuwZ1xovJyvVNoVCwaxTs9gTsQc7Uzt29tqJk7lT/oNkpsCPHeFBOHh2gsG/QVGKpAuClmht9T0hP5FICbr277//4u/vLzpc/iM9J53PT3/OwaiDALzm9hrzWs3D0lisTCIIQuF01a4X54/S3r17azGS0idyKUEQKrJcmZyh688SGPmAmk6W7B7XGnPjvBkAT3KfMPivwdx6eIvGTo1Z33W92gwBlfhr8KM/5D6BDjOgw/RS/BaCoE6jnVIVOUkqCpFICbpmYGDA/fv3cXIq4K5JBadQKNh+YztLzi8hV56LeyV3lnZYSi3bWroOTRAEPaWrdl0qLVqpT4lEUu6Wjxe5lCAIFV1iahY9VgSQkJpFX98qLO/vq3bDOepxFAP2DyA9J51367/LxCYTCz5QyC/wxxio0R6G/iFGSwk6o9FOqYqcJBWFSKSEksjJyWHr1q0ADB48GCMjo2IfQyqVEhcXJzqlXuBy4mUmHZ9EXHocVsZWHHrzEFbGVi9/o1BmaeLaEiom0a6XPnHOhbJMX9obfYlDeHVBkQ8YtC4ImVzBV2/UZ3ALN7Xt/0T/w8Rjys6oH177gVZVWhV8oNC9UOt1MBAlpAXdKWrbXqR/pWJJUR35ayo41QFPf7B1e/n+QpmkUCiIiopSPRe0o4FjA3b03MGMgBm0d20vOqQqAHFtCYIgCKVBX9obfYlDeHUtPOyZ0rU2Cw/cYO6e6zSoaoNPNWvV9tfcXmNo3aFk5WbRpHKTwg/k3Svvec4TkBiAobEWIxeEVydqSmmAVu7uPb4Ly+vl/Wzvpeyc8vIH9zZgbKGZzxF0Ti6XExqqXALW29u7yCMTnyeVSvnss89o06YNjRs3xtbWVtNhlhtyhRwJEtVw6L+j/sbb3htXK1cdRyZomiauLaFi0pdRO+np6Rw/fpyYmBiys7PVto0fP15HUWmHvpxzQXgV+tLe6EscQsnI5Qr+t+UC/4bG42pnxr5xbbE2zxv1JlfIkUqK+P82ORJ2DAO3NvD6Qi1FLAgF02qh84qUJBWFVhKptAQ4vxEijsDdc6B4blqkgTFU94O+34N1Nc18nlCmSaVS7O3tefDgARKJBFdXVxo3bqz2eLZEsJDnatJVhh0YhqmhKfPbzKeDawddhySUMWlpaVhaisL55Y0+dJBcunSJ7t27k5GRQXp6OnZ2diQlJWFubo6TkxORkZE6iUtb9OGcC4Ig6IvHGTn0WBnA3YdP6OxdmR+HNSlwQaOEjAQO3j7IsHrDCj7Qjb/gl4HK529vgnpvaC9oQfgPrXVKVbQkqSi0nkg9eQS3T0DEYQg/Ao9jwNAMpkeDoYlyn2MLwbaGcvlPS0fNxyDotWc1pXJzc7l06RIXL15UPe7cuYNEIsHZ2ZnY2Fhdh6pX4tLjmHR8EpcTLwMwsv5IPmr0UcGrmQgVzvLly5kwYUKh21NTU+nWrRunTp0qxaiE0qAPHSQdOnSgVq1arFmzBmtra0JCQjAyMmLIkCF8/PHH9OvXTydxaYs+nHNBEAR9cuXuY978/jTZMjkzXq/DmPaeatvTc9Lp9UcvEp8k8mXrL+nj1afgA/0zB059C8aW8L9j4FBT+8ELAlrslKpoSVJRlGoipVDAgwhICoM6PZSvPXkIiz1A8bT2l3MD5TQ/z07g6ifmD+s5uVzO3bt3AahWrdorDbV+0ep7Dx484MKFCwQHBzN16tQSx1ve5MhyWHZhGT+H/gxA08pNWdJ+CQ5mDjqOTCipkl5bZmZm/PDDDwwblv/uY3p6Ol26dOHBgwfcuHFDI/EK+kMfOkhsbGwICgqidu3a2NjYEBgYiLe3N0FBQQwfPrzc/bvTh3MuCK9KE7lceYpD0JytQdF8+sdVDKQSto1qQQsPe7Xt34d8z+rg1ZgamLK1x9aCV5eW5cLm3hB9CpzqwqjDYGxeSt9AqMiK2rYX+zdVcHAwkyZNQiqVYmBgQFZWFq6urixevJiZM2eWKGihCCQScPDK65AC5S+aVuOVnVEAcZfh5HL4qRcscodt/SH5tk7CFV4uNzeXDRs2sGHDBnJzc1/pGC/qW7a3t6dLly6iQ6oQRgZGTGs+jSXtl2BuaM75+PO8vfdtzsed13VoQgmV9NrasmULY8aMYc+ePWqvp6en07VrVxITEzl69KimwhUENUZGRqo/KJ2cnIiJiQHA2tqaO3fu6DI0QRD+QxO5XHmKQ9CcQc2r09e3CjK5go+2XyIxNUtt+5gGY2hdpTWZskwmHptIWnZa/oMYGMJbG8DCCRKuw/6JyoEOgqAnit0ppaskqXfv3lSvXh1TU1NcXFwYOnQo9+7de+F7MjMz+fDDD7G3t8fS0pI333yT+Ph4tX1iYmLo0aOHavrhlClTyt4vcUtHeG0uvB8Ak2/BG2uhQX+wcIScdLj1D5jb5e1/Zg1c3wOZj3UXs6AikUiws7PDzs6uwLniRXHw4EGsra1fvqNQqG7u3fil5y942XiR9CSJ0f+MJi49TtdhCSVQ0mvrrbfeYuXKlQwcOJBjx44Byg6pbt26ER8fz7Fjx3BxcdFw1IKg1KhRI86dOwdA+/btmTNnDlu3buWTTz6hfv36Oo5OEITnaSKXK09xCJojkUj46g0fajpZkpCaxfjtl5DJ8zqUpBIpC9ouwNnCmeiUaOacnlPwzWorZ2XHlEQKIdvh4uZS/BaC8GLFnr7XpUsXRowYwaBBgxg9ejSXL19m/PjxbNmyhYcPHxIUFKSVQJcvX07Lli1xcXEhNjaWyZMnA3D69OlC3zN27Fj279/Ppk2bsLa2Zty4cUilUlX9D5lMhq+vL87OzixZsoT79+8zbNgwRo8ezfz584scm94OOZfLIf4qxF8D36cF7nKeKEdP5WYqlwat1uzpVD9/qOILUgNdRiwIOpeRk8EXZ77ArZIb7zd8X9fhCHpg8eLFfPXVV+zevZs5c+YQGxvL8ePHqVZNLDRRXulDu37+/HlSU1Pp2LEjCQkJDBs2jNOnT1OzZk3Wr1+Pr6+vTuLSFn0454IgCPoqPCGV3qtOkZEtY1xHLyZ3ra22PSQxhBEHR5Arz2Vas2kMqTuk4AMFLIPDc5UlXt49AGKKp6BFWqsppS9J0p49e+jbty9ZWVkYGRnl2/748WMcHR3Ztm0bb731FgA3btzA29ubwMBA/Pz8OHDgAD179uTevXtUrlwZgDVr1jBt2jQSExMxNi64FlNWVhZZWXlDJ1NSUnB1dS0biVRGsrIoesRheBCuvs3MFjw6QqdZYO9Z8PsFoQJ49mvx2V3GY3eO4WzhTB27OjqMStCl6dOns2TJEtzd3Tl27Biurq66DknQItFBUvrEORcEQXix3cGxfPxLMAAb321Gx9rqtWS3hm5l4dmFGEoM2fz6ZnwcffIfRC6H8+uh0VAwMi2FqIWKrKhte7GXmGratKnquZOTEwcPHny1CEsgOTmZrVu30qpVqwI7pAAuXLhATk4OnTt3Vr1Wp04dqlevruqUCgwMxMfHR9UhBdC1a1fGjh3LtWvXaNSoUYHHXrBgAXPnztXslyot5nbQfbHy+cNoiDii7KCKPKEsmH5tF3T9Km//kF/AwgHcWoORmW5iFoRS9vyQ98jHkUw7MY1ceS6f+n1Kv5oVbzGHiuq/C3cYGRnh4ODAxx9/rPb6rl27SjMsoYK4ffs2ubm51KypvkrSrVu3MDIywt3dXTeBCYIgCDrRx7cq56KS+flMDBN+DWb/+LZUtcn7+2xQnUFcjL+IRCLBw8aj4INIpdB8dN7PslzlTBkx3VPQoWKP17t9+za3bt3K9/qtW7eIiorSREyFmjZtGhYWFtjb2xMTE8Pu3bsL3TcuLg5jY2NsbGzUXq9cuTJxcXGqfZ7vkHq2/dm2wsyYMYPHjx+rHmW24KitGzR9F/r/DFMjYeQh6LYQKlVRbpfL4OB0+PlN5ZS/LW/A6ZUQf10Ux9Og3Nxctm7dytatW8tePbMKwN7UnqbOTcmWZ/PZ6c+YdXIWT3Kf6DosoQhKem1ZW1urPQYOHEjdunXzvS4I2jBixIgCSxQEBQUxYsSI0g9IEIRC6Usupy9xCNozu2ddGlSz5lFGDh9uvUh2rly1TSKRsKDtApa0W4KFkcXLD5Yap1yVL3CVFiMWhJcr9kipESNGMHLkyHx37oKCgli3bp2qGGxRTJ8+nUWLFr1wn9DQUOrUUU6ZmTJlCu+99x7R0dHMnTuXYcOGsW/fvlIv5GdiYoKJiUmpfqbWGRhCdT/l45msVOUqf+FHIPXe01FVR4BZYOUCnp2gzQRwqFnoYYWXk8vlqo5euVz+kr2F0mZtYs3KTitZf2U9q4JXsTtiN6HJoSzrsAy3Sm66Dk94gZJeWxs3btR0SIJQZJcuXaJ169b5Xvfz82PcuHE6iEgQhMLoSy6nL3EI2mNiaMB3gxrTY0UAwXceseBAKJ/1qqfabmyQV37mcdZjztw/Q1f3rgUf7OYhiD4FMWegalNwa6nt8AWhQMXulNJkkjRp0qSX3u3z8Mgbeujg4ICDgwO1atXC29sbV1dXzpw5Q8uW+S8gZ2dnsrOzefTokdpoqfj4eJydnVX7nD17Vu19z1bne7ZPhWZmA32+U46KSgxTTvOLOAJRpyD1PgRvhVbj8/a/sV9Zl6paMzAoeFqlkJ+BgQF9+/ZVPRf0j1QiZXSD0TRwbMDUE1O5+fAmA/YN4IvWX9DZrfPLDyDohLi2hLJMIpGQmpqa7/XHjx8jk8l0EJEgCIXRl/ZGX+IQtMvVzpxl7/gyavN5Np6KoqmbHT0aqK8G/DjrMf339ede2j0qGVeiZZUCOpwaD4OoALiyE357F8YEKFd1F4RSVuzpe5pMkhwdHalTp84LH4UVG3/W+/98wfHnNWnSBCMjIw4fPqx6LSwsjJiYGFUnVsuWLbly5QoJCQmqff755x8qVapE3bp1i/VdyjWJBJzqQMsPYcjvMC0Khv4B7aeD49OVHxQKODAdNr4Oiz3gl8Fwbj0k39Zp6GWBgYEBvr6++Pr6igRCz7VwacGOnjto7NSYtJw0JhybQFhymK7DEgohri2hLGvXrh0LFixQy61kMhkLFiygTZs2OoxMEIT/0pf2Rl/iELSvc93KvN9euTDVtN8vE5mYprbd2sSaFi4tUKBgesB04tPj8x9EIoGe34BDbeWAg9/fU5ZvEYRSVuzV93r16oWZmRnbt29X/bKTyWT079+f9PR0Dhw4oPEgg4KCOHfuHG3atMHW1paIiAhmz55NfHw8165dw8TEhNjYWPz9/dm8eTPNmzcHYOzYsfz1119s2rSJSpUq8dFHHwGoajTIZDJ8fX2pUqUKixcvJi4ujqFDhzJq1Cjmz59f5PjEijFAdgbs+Ug5kupJsvo2Ow/w9Ifm/wPHWrqJTxA0KEeew7cXvkWmkDGt+TRdhyMIgobpQ7t+/fp12rVrh42NDW3btgUgICCAlJQUjhw5Qv369XUSl7bowzkXBEEoS3JlcgatC+Ls7WTqOFvx54etMTXK64zMzM1kyF9DCHsYRiOnRqzvuh4jaQGzWRLDYG1HyEmHdlOUK7ELggYUtW0vdqeULpKkK1eu8PHHHxMSEkJ6ejouLi5069aNWbNmUbVqVQCioqKoUaMGR48epUOHDgBkZmYyadIktm/fTlZWFl27dmX16tVqU/Oio6MZO3Ysx44dw8LCguHDh7Nw4UIMDYs+s1HTiZRCoWDu3uu42pnj4WiBp4MlVW3NMJCWgVUR5HK4H6yc6hd+BO6eBfnTQovv/QuuzZTPb58Ak0rg3EC5CkQFJpfLVaP1nJyckFbw81GWKBQKVU27wHuBSCVSWri00HFUwjMlvbYuXryIra0tNWrUAGDLli2sWbOGmJgY3NzcGDduHAMGDNB43ILu6UsHyb1791i1ahUhISGYmZnRoEEDxo0bh52dnc5i0hZ9OeeC8Cr0JZfTlziE0pOQkkn3FQEkpWXzTtNqLH6rodr2mJQY+u/rT1pOGiPqjWBS00kFH+jyTtg1Svl88O9QU5SnEEpOa51SULGSpKLQdCKVkJpJ868Oq71mbCilhr2FspPK0RIPRws8nv63kqke12/KTFHOVb4dAF2+VBZUB/i+NcRfBXMH8OyoHEnl2QmsKr/4eOVQdna2amTezJkzC52yKuivuPQ43t77NinZKYzzHcd7Pu8hlYhEUNdKem01bNiQpUuX0rlzZ9atW8f48eMZPXo03t7ehIWFsW7dOr799ltGjhypjfAFHRIdJKVPnHOhLNOXXE5f4hBK1+nwJIasD0KugMVvNeCdpq5q2/+N/pcJxyYA8E2Hb/B38y/4QPsmwvn1UK05vPe3cnqfIJRAUdv2Yhc6B6hSpUqxprcJxSOVSBjX0YuIxDQiE9O5/SCd7Fw5YfGphMXnr+flaGWCh4MFnk6Wyv86WuLpqCejq0wrKVfwq9Mj7zVZDti4wcMoyEhSFte7slO5rbKPspOq8bAKs6qfRCLByspK9Vwoe2xMbOjg2oE/w/9kxaUVBCcGM7/NfKxNrHUdWoVW0mvr1q1bqpVmV69ezbfffsvo0aNV25s1a8ZXX30lOqUEjbl8+TL169dHKpVy+fLlF+7boEGDUopKEISX0ZdcTl/iEEpXKy8HJr5Wi6//vsnsP6/iU9Uab5e8DoDObp0ZVncYm69vZtapWdSyrYVrJdf8B+q2QLnQVetPRIeUUKqKNFJKJEkvpu27ezK5gtiHT4hIUnZSKTurlM8TUgsu9A7K0VXu9uZ5I6scLJUdV/oyuio3Wzm9L/zpqn73g/O2DfkdvJ4OG429AMZWyk4q8QtS0GO7bu3iqzNfkS3PpqplVZa2X0o9h3ovf6OglxwcHDh06BBNmjShcuXK/P333zRsmDcsPiIiAh8fHzIyMnQYpaANuhq1I5VKiYuLU027kUgkFJSmSSSScrcCnxgpJQiC8OrkcgUjfzrHsbBEajhYsGdca6ye+3svR57DyIMjMTM0Y2G7hdiZFmGGk0Ih/vYSSkSj0/cqcpJUFLpMpFIyc7idmE5kUhoRCcr/RiamE5mkHF1VGAdLE9VUQE/HvGmB1WzNdTe6Kj0JIo5C5FHosRSMzJSvb3gdYk6DtWveVD+P9mBmq5s4BeEFQh+EMvHYRO6m3cVIasT05tN5u9bb4o5lGTR06FBMTExYt24d77zzDrVr1+aLL75QbV+wYAHbt29/6c0aoezRVbseHR1N9erVkUgkREdHv3BfNze3UoqqdIhOKUEQhJJ5mJ5NjxUB3HucSQ8fF1YNaqSWfz7OeoylkSUG0iKszPjkIfz5ATR4B+q9ocWohfJMo51SFTlJKgp9TKRkcgX3Hj0h/OmIqsjENNV0wBeOrjKQ4mZv/lztKktVsXVrcx2MrpLLYds7cPs4yLLzXpdIoWpT8PIHn7fB3rP0YxOEQqRkpzDr5CyO3jkKwI9dfsTPxU/HUQnFde/ePVq3bk316tVp2rQp33//PU2aNFHVlDpz5gx//PEH3bt313WogobpY7te3olzLgiCUHIXYx7S/4dAcmQKPu9VlxGtaxS435PcJ4Q+CKVx5cYFHyhgKRyep5yt8r9j4OClvaCFckurhc4FdWUtkUrNzOF2Urqqk+rZlMDbSelkvXB0lfHTKYDKqYB5o6vMMDTQclHn7AyIPvV0qt9hSLqZt+2tDVD/TeXzhBtgYgnW1bQbjwbl5uaya9cuAPr161eslR8F/aVQKPjp2k9EPI5gXqt5YqSUDmji2nr06BELFy5k7969REZGIpfLcXFxoXXr1kyYMIGmTZtqOmxBD+hLu37r1i2OHj1KQkICcrl6+zxnzhwdRaUd+nLOBeFV6Esupy9xCLq14eRt5u27jpGBhB1jWtKouvrskgdPHjDq71HEpsWytftWatoWUMdXlgubeyv//nKqB6P+BWPzUvoGQnmh1ULnFSlJKo+sTI1oUM2GBtVs1F6XyxXEPnpCZJL6yKrIxHTiUjJJSssmKS2Zs1HJau8zMpDgZm/xdBqgparoukZHVxmbQ83XlA+AR3eUdagiDoNHx7z9/v0Mbh4Eh1rKaX5e/uDWWq9/icrlcq5fvw5A3759dRuMoDESiYQR9UegUChUHVIhiSHcT79PN/duOo6uYtDEtWVjY8PChQtZuHChBiMThJf78ccfGTt2LA4ODjg7O6t1bEskEpFvCYIe0ZdcTl/iEHTr3dbunItK5sDVOMZtu8S+j9pga5G3EqONiQ2OZo6EPwpn4rGJ/NLzFyyMLNQPYmCovPG/pg0kXIO/pkDf70r5mwgVRbFHSr0sSbp48aLGg9R3FeHuXlpW7nO1q9KISEonIuHlo6vsLYyfmwqYN8Kqup255kdXKRTwcz+IPAaK52IyMIbqLZUdVN69wM5Ds59bQjKZjAsXLgDQpEkTDAyKMM9bKHMeZT7irb1vEZ8Rz2DvwUxqMgkjAz1YcKAcE9eW8Kr0oV13c3Pjgw8+YNq0aTr5/NKmD+dcEF6VvrQ3+hKHoHspmTn0XnmSqAcZdKjtyIbhzZA+Vzc4OTOZt/e+TUJGAq+7v86idosKHtV/+wRs7qP826r3Kmg8tBS/hVDWaW36XkVLkoqiIidScrmCe4+fEPG0blXkc0XX41IyC32fkYGE6nbm6nWrnhZdtzE3LvR9RfLkofIX6LNV/R7fydvW61toMkL5/GE0GFuAhUPJPk8QiiBXnst3wd+x7so6ABo4NmBp+6U4WzjrODLhVd25c4fPPvuMDRs26DoUQcP0oV2vVKkSwcHBeHjo140UbdGHcy4IglCeXL+XwhurT5GVK2dK19p82FG9LtSlhEuMPDiSXEUun7b4lAF1BhR8oBNL4MiXYGiqnMbn7FMK0QvlgdY6pSpaklQUIpEqWHpWrqp21X87rTJzCh9dZWdhrJwK+FzdKg9HC1ztzDEq7ugqhQKSbuVN9euxFGyqK7f9Phqu7ASXhspRVJ6doFpzMCxhp5ggvMCxO8eYeXImqdmp2JrYsrDtQlpVbaXrsIRXEBISQuPGjSvkqrPlnT606++99x7NmjXj/fff18nnlzZ9OOeCIAjlzY5zd5j6+2WkEvh5VAtaearfjP/p2k98ff5rDKWGbHl9C/Ud6uc/yLOFp8L/Afe2MGJfKUUvlHVa65SqaElSUYhEqnjkcgX3UzKVdasS0p7WsFJ2Xt1/XPjoKkOphOr25qpOKs/nOq2enyddZJv7QuRR9deMLaFGO2UHVa1uYONa/OMWk0KhIDlZWafLzs5OFMSuAO6m3mXisYmEJociQcLYhmMZ03AMUomWFwyoYEp6be3Zs+eF2yMjI5k0aZLolCqH9KFdX7BgAcuWLaNHjx74+PhgZKQ+3Xf8+PE6iUtb9OGcC8Kr0pdcTl/iEPTL5J0h/HbhLg6WJvw1vg1OlUxV2xQKBROOTeBwzGGqWFRhR68dWJtY5z9IRjIc+hRemweWjqUYvVCWaa1TqqIlSUUhEinNycjOVXVQPf/f20npPMkp/A8/W3MjPJ5O/3u+2Hr1l42uSo3PG0UVcRQykvK2vfYFtB6ft5+RGZhq/v9vdnY28+fPB2DmzJkYG4uRWhVBliyLhWcX8tvN3wBY2HYhPTx66Diq8qWk15ZUKkUikfCiZlIikYhOqXJIH9r1GjUKXsYblP/uIiMjSzEa7dOHcy4Ir0pfcjl9iUPQL0+yZbyx+hQ34lJpUcOOraNaqNX2TclOof/e/tia2rK8w3IqW1TWYbRCeaK11ffWrl2LpaUlx48f5/jx42rbJBJJheyUEjTH3NiQ+lWtqV9VvYdeLlcQl5L53IqAyhFWEQlp3HucycOMHC5EP+RC9EO19xlKlbWr8jqsLFR1rOwsjMGqMvgOVD7kcoi7rOygCj+inNL3zInFcGGTcnqfVyflyn4uviDVzMgWU1PTl+8klCsmBiZ81vIzGjk1IuBuAK/XeF3XIZVLJbm2XFxcWL16NX369Clwe3BwME2aNHnl4wvCi9y+fVvXIQiCUAz6ksvpSxyC/jAzNmD14Mb0WnmSoNvJLPvnJlO71VFtr2RciR+7/Ehl88pFW4QnOwMOToNGw8C1mRYjFyqKYo+UEvITd/d0KyP7We0q9bpVkYnpZGQXPoLBxtxI2UHlYKFWbL26nTnGhv/pbNryhnJE1fPM7MCzo7KDyssfrETBaqHkwh+Gcy7+HANqDxDD7nWsd+/e+Pr6Mm/evAK3h4SE0KhRI+TywmvkCWWTvrXrz1K18vw7Qd/OuSAIQnmz7/I9xm27BMCGEU3pVKfgEVE58hxiU2Nxt3Yv+ED/zIFT30KlavB+AJjbaSlioazT2vS951WEJKkoRCKlnxQK5eiqgqYDxj56Uuj7DJ6Nrno6BfBZp1VNo0Rs7p9EEnEEIo9Ddmrem9pOBv/ZyudPHoKhGRiJO1VC8TzJfcI7e98hKiWKbu7d+LzV51gYWeg6rAorICCA9PR0unXrVuD29PR0zp8/T/v27Us5MkHb9KVd37x5M0uWLOHWrVsA1KpViylTpjB0aPlbkltfzrkgCEJ59tnuq/wUGI21mRH7x7ehmq252vakJ0l8cvQT7qXdY0evHTiYFbBKeWYKrO0AyRHg9RoM2qGx2SNC+aLVTqmKlCQVhUikyp5no6uUUwGVI6uedVi9aHSVtZkRHo4W1HQwxc84koZZF6j6IBCDbvMx8mit3OnfuXBmNbi1zlvVz7EOFNJ5K5PJCAgI4P79+7i4uNC2bVsMDAy08bUFPadQKPg59GeWnV9GriKXGtY1WNZ+GV62Xi9/syAIGqMP7fqyZcuYPXs248aNo3VrZfty8uRJvvvuO7788ksmTJigk7i0RR/OuSAIQnmXlSvjnTWBhNx9TENXG3aOaak2QyQjJ4NB+wcR8TiC5s7NWfvaWgykBfxdEncV1vlDbiZ0mgXtppTitxDKCq11SlW0JKkoRCJVfigUCuJTspQrAyamEfHc6Kp7j59Q2NViIJXgamuGp6MlMx7OxutxoPoOlarmTfXz6KAa5rpr1y4+/vhj7t69q9q1WrVqfPvtt/Tr109L31LQd8EJwUw6PomEjATMDM34rOVnogj6K8jNzWXfPuWyxT179sTQsNhlFIUKSh/a9Ro1ajB37lyGDRum9vpPP/3E559/rrWaU7179yY4OJiEhARsbW3p3LkzixYtokqVKoW+p0OHDvnqjI4ZM4Y1a9YU+XP14ZwLwqvSl/ZGX+IQ9Nud5Ax6rjzJ4yc5jGjlzue966ltj3wUyYD9A3iS+4TRPqMZ37iQmtGXtsLuD0AihaF/gocYOS6o01qnlK6SJH0mEqmKITNH9rR2VV6x9Wd1rNLVRlcpqCmJpZ00hPbSyzQ3uIEpOaqt0Z5DyO6ykIsnDjGw/zv5VvZ6Nh32t99+Ex1TFdiDJw+YFjCNoPtBAPSv3Z+pzaZibCBW0ikqTaxCtGrVKs6ePUv37t0ZMGAAW7ZsYcGCBcjlcvr168e8efNE0l8O6UO7bmpqytWrV/HyUh8peevWLXx8fMjMzNTK5y5fvpyWLVvi4uJCbGwskydPBuD06dOFvqdDhw7UqlVLrf6aubl5sc6dPpxzQXhV+rLqnb7EIei/w6HxvPfTeQC+G9SYHg1c1Lb/FfkX0wKmAbDafzVtq7Ut+EC7P4RLP4OFI4wJgEouBe8nVEhaW33v/v37tGrVKt/rrVq14v79+8U9nCCUGaZGBni7VMLbRf2CUigUJKRmEZGQRkTSs84qJw4l1mTDox4Y52TTQhpKO+ll2kqvsDDUhSNXjhK7ZmyBS80rFAokEgmffPIJffr0EVP5Kih7M3t+6PwD34d8zw+Xf+DXsF+pblWdYfWGvfzNAgAGBga89tprqufF9eWXX7J48WK6dOnChAkTiI6OZsmSJUyYMAGpVMry5csxMjJi7ty5mg5dEPDy8mLHjh3MnDlT7fVff/2VmjVrau1znx/x7ubmxvTp0+nbty85OTkYGRW+KpO5uTnOzmLBD6FiKml7U97iEPSfv3dl3m/vyZrjEUz7/TLeLlZ4OFqqtnf36M7FhIv8GvYrM07OYGfPnbhYFtDh1P1ruBcM8Vdh/yQYuK30voRQbhR7pFT9+vUZNGhQviTpyy+/5Ndff+XKlSsaDbAsEHf3hMI8G12VN7IqjcjENK6cDyRq87SXvv/o33/R4bXXCYp8gK2FMW725pgYiiSjogm4G8DOmztZ2mEpRtIiLNUraISXlxeLFy+mX79+hISE0KRJE3766ScGDx4MwB9//MHUqVNV9RWF8kMf2vXff/+d/v3707lzZ1W5hFOnTnH48GF27NjBG2+8ofUYkpOTGTt2LLGxsZw8ebLQ/Tp06MC1a9dQKBQ4OzvTq1cvZs+ejbm5eaHvycrKIisrS/VzSkoKrq6uIpcSBEEoJbkyOYPWBXH2djJ1nK3488PWmBrl/Z2RLctm6IGhXH9wnQYODdjUbRNGBgXkoQ8ilB1SvVeATfVS/AaCvtPaSKm5c+fSv39/Tpw4UWCSJAhCnsJGV23bdofBm1/+/vtr34HY9pyNcePAk7qEUZ1qdnkrAno6WuLhaIG3SyWszURnRXnVtlpbtWHTsWmx7I3Yy2if0QUXnxQ04t69ezRt2hSAhg0bIpVK8fX1VW1v3Lgx9+7d01F0Qnn35ptvEhQUxPLly/nzzz8B8Pb25uzZszRq1Eirnz1t2jRWrVpFRkYGfn5+qho1hRk0aBBubm5UqVKFy5cvM23aNMLCwti1a1eh71mwYIEYZSgIgqBDhgZSVg1sRPcVAdyIS2XO7qssfquharuxgTFL2y/lnX3vkJaTxoPMBzhbFDAi1t4Thv1ZeoEL5c4rrb534cIFli9fTmhoKKBMkiZNmqT1JElf6cMdVaFsOXbsGB07dnzpfkeHm9PBPa/vOFFhTYDchxOyBpyU+5CENQCL32rAO01dAThyI57r91KedlhZ4mZvrnbXQyjbcuW5DPlrCNceXKOFSwsWtV2EvZm9rsPSSwqFgtTUVACsrKxU9dqKysPDg9WrV9OtWzdu3bpFnTp1+OWXX3j77bcB+Ouvv/jwww8rZC3F8q68tevTp09n0aJFL9wnNDSUOnXqAJCUlERycjLR0dHMnTsXa2tr9u3bV+Rr6MiRI/j7+xMeHo6np2eB+4iRUkJ5UtL2przFIZQtp8OTGLI+CLlC/W+KZ64mXcXD2gNzo8JHv6rIcuDofGgyHGzdtROwUGZordC5kF95S14F7ZPJZLi7uxMbG1tgXSmJREK1atW4ff5fDG4fg4jDKG4HIMlJV9sv2siTk4qGNHvtLWo1eQ0MjZmyM4SdF/JW85NKoJqtOR6OFng4WNLM3ZbXfUQRwrJsf+R+5gbO5UnuE5zMnPi6w9c0cqqYNwVepKQFX2fPns0PP/xAnz59OHz4MP3792fbtm3MmDEDiUTCV199xVtvvcWyZcu0Eb6gQ/rSrsvlcsLDw0lISEAul6tta9euXZGPk5iYyIMHD164j4eHR4HXyN27d3F1deX06dO0bNmySJ+Xnp6OpaUlBw8epGvXrkV6j76cc0F4FfpSYFxf4hDKnpWHb7H0n5uYGkn588PW1HEu+PewXCHnUdYj7EztCj7Q/klwbh1UaQQjD4GhiRajFvSd1qbvgeaSJEGoqAwMDPj222956623kEgkah1Tz+5qffPNNxg41QKnWtDif0hys+FOEEQchvDDEHcZt5wI3IiAA7vgXwtwb8NgkybY1avLmce2RCalk5qZS0xyBjHJGRwLSyQ+JVPVKRWekMrEHSHKUVXPpgQ6WeBubyFGV+mxHh49qGNXh4nHJhL5OJKRB0cyockEhtYdKu6K/odUKn3l986dOxczMzMCAwMZPXo006dPp2HDhkydOpWMjAx69erFF198ocFoBSHPmTNnGDRoENHR0QWu0iqTyQp5Z36Ojo44Ojq+UhzP8rznRzW9THBwMAAuLuIGiFBxlKS90SR9iUMoWz7s6MW56IecuJnIBz9fZPe41liZqpcGeZj5kBknZ5CYkcjW7lsxNTTNf6DWn8DV3+HeJTg0E3osLZ0vIJRpxR4ppckkqbwQd/eEV7Vr1y4+/vhj7t7NG9nk6urKN998Q79+/V785rREiDyq7KCKOALpCerbbaqj8OhESrV23DRvzK3HBkQmplGvaiXeaFQNgL+u3OeDrRfzHVoigao2Zng6WrJ6cGMsTJT9148ysrE2MxIdH3oiIyeDz09/zoGoAwC85vYa81rNw9LY8iXvFAThRfShXff19aVWrVrMnTsXFxeXfL93ra2tNf6ZQUFBnDt3jjZt2mBra0tERASzZ88mPj6ea9euYWJiQmxsLP7+/mzevJnmzZsTERHBtm3b6N69O/b29ly+fJkJEyZQrVo1jh8/XuTP1odzLgiCUJElp2fTY0UA9x9n0qOBC6sGNlJre+LT43ln3zskZybTr2Y/5rYqpC7grX9g61vK52+uB5+3SiF6QR9pbfqeLpIkfScSKaEkZDIZAQEB3L9/HxcXF9q2bVv8ZXwVCuVSrOGHlSOpYs6ALDtvu8QAqjUDz07g5a8cUis1IDE1iwvRD5+uCpiuWh0wJTMXAAtjA67O7aq6zv3mHyYtK5caDhZ4OipHVnk4WuDpaEkNBzG6ShcUCgW/hP3C4nOLyZXnMspnFB83/ljXYQlCmaYP7bqFhQUhISF4eXmV2mdeuXKFjz/+mJCQENLT03FxcaFbt27MmjWLqlWrAhAVFUWNGjU4evQoHTp04M6dOwwZMoSrV6+Snp6Oq6srb7zxBrNmzSrWudOHcy4IglDRXYh+SP8fAsmVK5jbux7DW7mrbQ+8F8iYf8agQMGXrb+kj1efgg90eB4ELAUjC/jfMXCspfXYBf2jtU4pXSRJ+k4kUoLeyU6HqFN5U/0e/GfJejNb8Oig7KTy9AfrqqpNCoWCB+nZRCSk8TAjm271ldMvnmTLqP/5IWTygn9lSCTwTX9f+vgqj3X9XgqPMrLxcLSkciUTMbpKy64kXmHt5bUsab+k4OHUgiAUmT606506dWLq1Kl069ZNJ59f2vThnAuCIAiwLiCSL/eHYmQg4bf3W9HQ1UZt+/ch37M6eDWmBqZs7bGVWrYFdDjJcmFLX4gKAEdvGH0YjC1KJX5Bf2itU6qiJUlFIRIpoSRyc3M5dOgQAF27dsXQ8JVKvb3Yo5i8UVSRJyDrsfp2xzrKzimvTuDWGozMCjxMVq6MmAcZRCSmE5mURkSC8r+Riek8fpLDjjEtaV5DWfhw+u+X+eXcHUA54urZqCoPB+V/vV0q4eUkpplpy4MnD9h0bRMf+n5YYTupSuXaEsolfWjX//jjD2bNmsWUKVPw8fHByEi9tkeDBg10Epe26MM5F4RXpS/tjb7EIZRtCoWC93++wKFr8VS1MWP/+DbYmOcVzZcr5Iz9dyyn753GvZI7v/T8BQujAjqcUuPhh7aQFg9NRkCvb0vvSwh6QWuFzj/66CMmTZpEXFxchUiSBEHb5HI5586dA+C1117TzofYVIem7yofslyIvZA3iureRUi8oXyc+Q4MTMCtlXKan6c/OHkrh0EBJoYG1KxsRc3KVmqHVygUJKdnY2ma9yvF1sKYGg4WxCRnkJ4t40rsY67E5nWGdavnzJqhTQC4k5zB+pO31aYEOlcyFaOrXpFCoWBGwAwC7wcSdD+IpR2W4mrl+vI3ljOavLbu3r1LlSpVkEqlas8FQVvefPNNAEaOHKl67dnCGBW1hqcg6KtSyeXKUBxC2SaRSFj8VkNC758kJjmDSTtC+HFYU6RSZV4ulUhZ0HYBb+99m6iUKD4//TmL2y3On7dbVVbWlDowDVqM1cE3EcqKYo+UKigJr+hJkri7J5TEs5pSwKvVkyqpjGS4fTyvYHpKrPp2K5en0/yePswLWQK2ENm5cmKS04lQ1axKJzIxDX/vynzYUTkN+ODV+7z/s3rBdQtjA2o8HVnl6WjJ+x08MDEUNauKKvBeINNOTONh1kOsjKz4qs1XdKzeUddhlSpNXluVKlUiODgYDw8PtedC+aQP7Xp0dPQLt7u5uZVSJKVDH865ILwqnedyehaHUD5cjX1Mv+9Pk50rZ1q3Oozt4Km2PTghmHcPvoujuSPbemzDwcyh4APJZSAV/xYrIq1N36toSVJRiERKKDcUCki6mTfVL+oU5D55bgeJskj6s4Lp1ZqBgVGhhyuq6/dS2B0cq+q0ik7OUKtdZW5swNXPu6ru0PRbfQoLE0M8HCzwdLJUTQl0sRajq54Xlx7H5OOTCUkMAWBk/ZF81OgjDKViOH9xWVlZERISgoeHh9pzoXwS7XrpE+dcEARB/2wLimHmH1cwkErYNqoFLTzs1bYfiTlCY6fG2JjavPxgcjmc+xEaDgDTirc4WkWktU4pIT+RSAnlVk4mxAQ+nep3BBKuqW83qQQ12oFnR+VUP7saGvlY5eiqDCIT04hMSicjW8bE15RFFDOyc6k751CB7zMzMsDD0YKZ3b1p7aW8W5Ocno2pkRRz44rZEZMjy2HZhWX8HPozAE0rN2VJ+yWF380SCiQ6pSoWfWrXr1+/TkxMDNnZ2Wqv9+7dW0cRaYc+nXNBEARBSaFQMHFHCH9cisXJyoT949viaGVS6L7Z8mxMDArezp7xcPEn8O4F72xRlQcRyi+td0qVdpLUu3dvgoODSUhIwNbWls6dO7No0SKqVKlS6HsyMzOZNGkSv/zyC1lZWXTt2pXVq1dTuXJl1T4FjarYvn07AwYMKHJsIpESSkKhUJCVlQWAiYmer1KXch8ijypHUkUehYwH6tvtPJSdU56doEZbMLEq+DglkCOTE3LnEZGJ6UQ8V2w95kEGuU9HV/3yPz/8nt7JmbHrCtvPxuBibYrn03pVz/7r4WiJSyVT1Qis8uxQ1CHmnJpDRm4G/Wr2Y26ruboOSes0eW2JTqmKRR/a9cjISN544w2uXLmiKpMAeXlLeSuXoA/nXBBelb7kcvoSh1C+ZGTn0mfVKW4lpNHK054t77XA4D+5c0ZOBnMD55Kek86KTiuQSgqou3n3AmzoCvIc6LoAWn5QSt9A0BWtdUrpKklavnw5LVu2xMXFhdjYWCZPngzA6dOnC33P2LFj2b9/P5s2bcLa2ppx48YhlUo5deqUah+JRMLGjRvVVhO0sbHB1LToq1WJREooiezsbObPnw/AzJkzMTY2fsk79IRcDveDlaOoIo7CnSCQ5+ZtlxqBawvlin6encC5IWixMHSO7NnoqnT8POywMlVOKxz10zn+DU0o9H09fFz4bnBjAJLSsjgVnoSnoyU1HCywMClfo6tuP77NsgvL+KrNV1QyLv+/qzR5bYlOqYpFH9r1Xr16YWBgwLp166hRowZnz57lwYMHTJo0ia+//pq2bdvqJC5t0YdzLgivSl9yOX2JQyh/bsWn0nvVKZ7kyBjfyYuJXWqrbQ9LDmPQ/kFky7OZ0GQCI+uPLPhAQT/AgakgNYR3D4Jrs1KIXtAVra2+9/HHH1OjRg0OHz5cYJKkLRMmTFA9d3NzY/r06fTt25ecnJx8KwACPH78mPXr17Nt2zY6deoEwMaNG/H29ubMmTP4+fmp9rWxscHZ2bnIsWRlZanuQoDyZAtChSOVQtXGyke7KZCZAlEBefWoHkZB9Enl4/A8MHfIm+bn2RGsin7NFYWRgRRPR2VR9OetG96Mh+nZRCalEZGYrhxhlZhGZGIa0Q8ycLUzV+17MfohH/8SrPrZxdpUOaLKIW+EVWsvh3x3h8qKGtY1WNlppern1OxUVlxcwbhG47A2EXP7BUGfBAYGcuTIERwcHJBKpUilUtq0acOCBQsYP348ly5d0nWIgiAIQgVRs7IVC/r58Mmvwaw8Gk4Tdzva13JUba9tV5tpzafxxZkvWHFxBQ0cGtDUuWn+AzX/H0Sfhut/ws4R8H5AsRdREsqfYo+UcnBw4MiRIzRo0ABra2vOnj1L7dq1OXLkCJMmTSqVJCk5OZmxY8cSGxvLyZMnC9znyJEj+Pv78/DhQ2xsbFSvu7m58cknn6g6uSQSCVWqVCErKwsPDw/ef/993n333RcOd/3888+ZOzf/1Bdxd094FQqFArlcDihXtyw3Q62TI/NW9Lt9ArLT1LdXrp9XML16SzAsZP65FuXI5GTnylUjoo6FJfDd0XAiEtNJTs/Ot7+pkZTrc7uppvvN2X0VG3NjPJ/ruCpLo6umnpjKgdsHqGpZleUdluNt763rkDRKk9eWGClVsejDqB1bW1suXrxIjRo18PT0ZN26dXTs2JGIiAh8fHzIyMjQSVzaog/nXBBelb7kcvoSh1B+zfzjCtuCYrA1N2L/+LZUsTFTbVMoFMw4OYP9kftxNHNkR68dBdcwzUyBtR0gOQK8XoNBO7Q6m0LQHa2NlJLJZFhZKevEODg4cO/ePWrXro2bmxthYWGvHnERTJs2jVWrVpGRkYGfnx/79u0rdN+4uDiMjY3VOqQAKleuTFxcnOrnefPm0alTJ8zNzfn777/54IMPSEtLY/z48YUee8aMGUycOFH1c0pKCq6urq/+xYQKTSKRlM8le+08oLkHNB8Nudlw99zTgumH4X4IxF9VPk6vAEMzcG+j7KDy9AeHmqVS/NDIQIqRQV4j2KG2Ex1qOwHwKCObCNWoqnQiE9OQSFB1SGXmyNhyJpr/dus7VzJVjaoa7FedOs76+8fV8HrDuZx4mdi0WIb8NYSZLWbSr2a/cpPElttrS6gQ6tevT0hICDVq1KBFixYsXrwYY2Nj1q5dKzpEBUHP6Et7oy9xCOXXnJ51CbnziGv3Uvho+yV++Z+fKpeWSCTM8ZtD6INQIh9HMv3EdH547QcMpP/5N2laCd7ZDOv8IfwfOLlUOetCqLCKPVKqbdu2TJo0ib59+zJo0CAePnzIrFmzWLt2LRcuXODq1atFPtb06dNZtGjRC/cJDQ2lTp06ACQlJZGcnEx0dDRz587F2tqaffv2FfgH1LZt23j33XfVptkBNG/enI4dOxb6uXPmzGHjxo3cuXOnyN9D3N0ThGJKT4LIY3kjqdLi1Ldbu+ZN9fNoD2a2OgnzRdKzctkWFJPXaZWURlKa+uiqbaNa0OrpKoBf7rvOyaf1qjyfFll/VmzdUoejqx5nPebTk59y/O5xAHp79maW3yzMDM1e8s6KZcGCBYwdOxYbGxu150L5pA/t+qFDh0hPT6dfv36Eh4fTs2dPbt68ib29Pb/++quqNEF5oQ/nXBAEQXi56Afp9Fx5ktTMXEa1qcGsnnXVtkc8imDg/oE8yX3CmAZjGNdoXMEHuvQzHFsIb2+CagVM9RPKPK0VOtdkkpSYmMiDBw9euI+Hh0eBRfru3r2Lq6srp0+fpmXLlvm2F3X63n/t37+fnj17kpmZiYlJ0aYTiURKKAmZTMbhw4cB8Pf3r3h3uBQKiL+m7JyKOAzRgSB7rjNZIoWqTZQdVF7+UKUxGOjnFLnHGTlEJKWp6laNalMDe0vl75GBa88QGFnw77vKlUx4u4krk7sqi0amZ+WSnJ5NFRuzUqlfJVfI2XB1AysvrUSukFPTtibL2i/D3dpd65+tTRX+2hJemb6268nJydja2pab0YzP09dzLghFoS/tjb7EIZR/B6/G8f7PFwBYM6QJ3eqr14rdF7mPGQEzsDO1Y+8bewtfYCcrDUwsC94mlHlam77XtWtX1XMvLy9u3LjxykmSo6Mjjo6OL9+xAM/mS/93JNQzTZo0wcjIiMOHD/Pmm28CEBYWRkxMTIGdWM8EBwdja2tb5A4pQSgpmUymWkWyQ4cOFS+BkEjAub7y0Xo8ZGcoCyA+m+qXFKac+nf3HBxfCKbW4NFBWY/K0x9s9GfqrLW5EY2r29K4ev6RXYvfasCthFRVh1XE0ymBSWnZxKdkkSOTq/YNjHjAqM3nMTaU4uFgoSq27umUV7vq2eqCmiCVSBnlM4oGDg2YcmIKtx7eYun5paz0X/nyN+uxCn9tCWXa48ePkclk2NnlFYC1s7MjOTkZQ0ND0XEjCHpEX9obfYlDKP+61XdmVJsarDt5mym/hVDXpRLV7fMWD+rp0ZOHmQ/p4tblxSs+P+uQUiggdC/U7q63N58F7Sn2/3FdJElBQUGcO3eONm3aYGtrS0REBLNnz8bT01PVwRQbG4u/vz+bN2+mefPmWFtb89577zFx4kTs7OyoVKkSH330ES1btlStvLd3717i4+Px8/PD1NSUf/75h/nz5zN58mSNfwdBKIyBgQGtWrVSPa/wjM2hZmflA+DxXeUoqvDDyil/mY/g+m7lA8Ch1tMV/TqBe2swttBV5C/kameOq505neqov/74SQ6RiWnYmOeNCE1Oz8bYQEp2rpwbcanciEtVe4+xoZTQed1Uo6h+ORtDZWtTPB0sqWr76qOrmrs0Z2evnSw8u5CZLWa+0jH0SUmvrX///Rd/f/9yOSpF0H8DBgygV69efPDBB2qv79ixgz179vDXX3/pKDJBEP5LX3I5fYlDqBimvV6HizEPuRjziLFbL/D72FaYGuX9uxtad6ja/gqFovCcat8EuLAR2kyEzp9pM2xBDxV7+t7rr79eYJK0Zs0arSVJV65c4eOPPyYkJIT09HRcXFzo1q0bs2bNomrVqgBERUVRo0YNjh49SocOHQDIzMxk0qRJbN++naysLLp27crq1atxdlYOLzx48CAzZswgPDwchUKBl5cXY8eOZfTo0UiLsQKAGHIuCKVELoPYi8pRVBFHlKOnFHkjjDAwVq7k92xVv8r1S6VgujbI5AruPsxQjayKTEonIkE5wsrewphDE9oBkJUrw3v2QeRPf5MbG0qpYW+hNqqqTU0HnKxMXymOzNxMFp1bxPsN3qeyRWVNfb0ywcDAgPv37+Pk5KTrUIRSpg/tup2dHadOncLbW31VzBs3btC6deuXlj8oa/ThnAuCIAjFc+/RE3qsCOBhRg6DWlRn/hs++fbJlmWz5NwSTAxMmNyskMEfV3fBb+8qnw/aCbW6aDFqobRoraZURUuSikIkUoKgI08ewe3jeQXTH/9ngQLLyk+n+XUCj45g+WrThfVNZo5MdScqOT2bT/+4QkRiGlFJGWQ/Nw3wmZ/fa0GbmsqC65tO3eZmQhoeDsoVAj0cLahma17o6KoFQQvYdmMbdqZ2LGq3CD8XP+19MT0jlUqJi4sTnVIVkD606xYWFpw5cwYfH/UE/8qVK7Ro0YKMjAydxKUt+nDOBUEQhOI7fjORERvPolDAN/196duoqtr20/dOM+afMQB80/Eb/Kv7F3ygv6bA2bXKBY7GBOhViQ7h1WitplRWVha5ubn5Xs/JyeHJkyfFPZwgVHgKhUJVI00qlYqpQsVhZgN1+ygfCgU8CH/aQXUYok5CWjyEbFc+AFwa5k31c20BhvkXUSgLnh8abWdhzPdDmgDK0VWxD58QkZRGRIJydFVkYhpeTnkFJP8NTeBkeJLa8YwNpbjbm+PhYEmXepXp17gaoPy3Odh7MBfiLxD2MIwx/4zhQ98PGeUzCqmk6KNJdUVcW0JZ1rx5c9auXcvKleq13dasWUOTJk10FJUgCAXRl/ZGX+IQKpb2tRz5qKMXK46EM/OPK9SvWgkvJyvV9lZVWjGs7jA2X9/M7JOzqdWrFq5WBXQ4dfkS7p6Hexdh5wh490CZzdWF4in2SKmOHTtSv379fEnShx9+yOXLlwkICNBogGWBuLsnlER2djbz588HYObMmQWuNim8gtwsiDmTN9Uv7or6dmNLcG+bN9XPzqPMTvUrjkPX4rhy9zGRT1cJjExKJzs3b3TV80v7Hr2RwJTfLuPuaESG1W/cyTkGQBPHliztuAh7s/wF3fVJSa8tqVTKZ599Rps2bWjcuDG2tvr9fQXN0Yd2/dSpU3Tu3JlmzZrh76+8q3z48GHOnTvH33//Tdu2bXUSl7bowzkXhFelL7mcvsQhVDwyuYKh64M4HfGAmk6W7B7XGnPjvPEvOfIcRh4cSXBiMN523mzpvgUTgwIWFnsYDT+0U9aQbfE+vL6o9L6EoHFaGyn15Zdf0rlzZ0JCQgpMkgRBEPSCoQl4tFc+XpsHqfEQeTRvql9GEtw8oHwA2LgpO6c8O0GNdspV/sqhrvWc6Vovb9lemVzBvUdPVCsC+lTN+94RiWkkpWWRlJYFdMPQ2h5T591cSAyk/dY+OGf9j38+GKy6E3s19jGutuZYm2tuZUBdW7VqFXPnzkUikeDq6krjxo3VHs9qFAqCprVu3ZrAwECWLFnCjh07MDMzo0GDBqxfv56aNWvqOjxBEARBUDGQSvh2QCN6rAjgVkIas/64ytJ3GqpyRCOpEUvaL+Gdve8QmhzK4rOLmd1ydv4D2brBGz/A9v4QtAaq+0G9N0r52wilrdgjpQCCg4NZsmQJwcHBqiRpxowZFTZJEnf3hJJQKBRkZWUBYGJiIoZalwa5HOKv5HVQxZwBeU7edokBuDbPm+pXxRekFW8Vm/SsXGWR9WfF1hPTuZF8g3jTtUiMH2CUU4ML7+1GIpGQnSvHe85BZHIFDpbGqiLrz+pWeTpaUs3WDEOD0pv2V9Jr61lNqdzcXC5dusTFixdVjzt37iCRSHB2diY2NlYb4Qs6JNr10ifOuVCW6Usupy9xCBVXUOQDBv54BrkCFvTzYWDz6mrbT8ee5v1/30eBgoVtF9LDo0fBB/rnM7i0Bd5cp8zFhTJJa4XOhfxEIiUIZVxWmrIG1bOpfg/C1beb2SoLpT8bSVWpim7i1BOPM1P4/NR8elYfhn9N5VS/e4+e0G/1aeJSMgt9308jm9O+lrLY/L/X43mYkY2HoyVejpZ6ObrqRavvPXjwgAsXLhAcHMzUqVN1EJ2gTbpq11NSUoq8b3nLN0QuJQiCUD6sPhbO4oNhGBtK+eODVtSroj77YNWlVfxw+QcczBw40O8ApoYFrBAty1XOarASI9LLMo12SlXkJKkoRCIlCOXMwyhl51T4Ybh9ArL+8zvQ0Tuvg8qtFRiZ6SRMfZErz+XLM18yrO4wnMyqczsxncinxdYjktKVtasS0zg8qT3VbM0BGLo+iIBbeQXX7S2M1UZWNXO3o1F13dZwEqvvVVy6ateLU5hYJpNpOZrSJXIpQRCE8kEuVzB683kO30jAzd6cvR+1oZJp3s1HmVzGwrMLGeQ9iBrWNYp20LsXoJpY5KOs0WinVEVOkopCJFJCSchkMtUCAW3btsXAoOJNE9NrshyIvZC3ql/sReC5X5uGpsqOKU9/ZUeVY50KUTD9eWtC1vBd8HeYGZoxr9U8utXolm8fuVyBRIKqLfnm35uci0omIiG9wNFV77Z257Ne9QA4H5XMDyciVZ1Wno4WeDhYYmvx4gKuJb22/v77b9q3b4+JSQGFOIVyTVft+vHjx1XPo6KimD59OiNGjKBly5YABAYG8tNPP7FgwQKGDx9eanGVBpFLCWWZvuRy+hKHIDzKyKbHipPEPnpCt3rOfD+k8atNJ1Uo4OB0ZX2pPquh0WDNBytojUYLnR89elT1/GVJkiAIxSOTyTh27BgArVq1EgmEvjEwUhZZrO4HnT6FjGSIPKbsoAo/Aqn3lKOqIo7A35+CVZWnK/p1Uk75M7fT9TfQurdqvcW5uHOcjTvLlBNTuJRwiclNJ2NkkHdXTCpVT0Q+6VxL9Tw9K/fpSoDKYuuRiWk0d887b5fvPuaf6/H5PtfOwhgPBwtqOVvxVd/6qmRHJldgIJWU+Nrq0qVLsfYXhJJq37696vm8efNYtmwZAwcOVL3Wu3dvfHx8WLt2bbnrlBKEskxfcjl9iUMQbMyN+W5wY95ec5qD1+LYeCqKkW3yj4qSyWWsubwGZ3Nn3qz1Zv4DSSRgbq98vn8SVGkEletqOXqhtBW7ppS/vz+jRo1SS5IAtm3bxtq1a1W/CCsScXdPKInc3FwOHToEQNeuXTE0LPaimIKuKBSQGPa0g+owRJ+C3OdH/UiUjaeXv3IkVbWmyk6ucihXnst3wd+x7so6ABo4NODr9l/jYulS4mPfik/lVHgSkU+nAkYkpnH/cd559nC04MikDgDkyOQ0+PxvXGxMqWFnSm5MMC6VTOnbqzu1XGywe8noKkEA/WjXzc3NCQkJybeIzM2bN/H19SUjI0MncWmLPpxzQXhV+pLL6UscgvDMplO3+XzvdQylEna835LG/ynNsD9yP9MDpmMsNWZrj63UsauT/yByOWx9S5lv29eE/x0FE6tS+gZCSWit0HlFS5KKQiRSgiAAkPMEYgLzVvVLuK6+3aQS1Gj3dCSVP9i66yRMbTp+5zgzTs4gNTsVGxMbFrZdSOuqrTX+ORnZz0ZXpaNQKOjjWxWAyMQ0Oi09Xuj7bM2NWDe8GU3clEnRzfhUDKQSqtuZY1SKKwMK+k0f2vXatWvTp08fFi9erPb61KlT2b17N2FhYTqJS1v04ZwLgiAImqVQKBi37RL7r9ynirUp+8a3VbtBKFfIGX9kPMfvHsfVypVfe/6KlXEBHU7pD2BNG+UMhfpvwpvrK1y5jLJIa51SFS1JKgqRSAmCUKCUe3kF0yOPwpOH6tvtPPM6qNzbgomlbuLUsLupd5l4bCKhyaG4V3JnV59dGElLZ4SYXK4gLiWTiMQ0VYH1yKR0IhLSuPd0dNWJKR2pbq8suD5i41mOhSVi+LRj6vli656Olng5WWJjLkZXVTT60K7/9ddfvPnmm3h5edGiRQsAzp49y61bt/j999/p3r27TuLSFn0454IgCILmpWbm0HvVKW4npdOhtiMbhjdTK+vwOOsx7+x9h3vp9+hcvTPLOiwruP5UTBBs6g7yXOixFJqNKsVvIbwKrXVKVbQkqShEIiUIwkvJZXA/WFmHKuIw3DkLiucWhpA+rV31rJOqsg9Iy+7InSxZFkvPL+WtWm9Ry7bWy99QCp6NrvJ2qYTB02Ro9ObznApPIiO74EU6RrRy5/PeyoLrN+NTORyaoOqwcrMXo6vKK31p1+/evcvq1au5ceMGAN7e3rz//vu4urrqLCZt0ZdzLgiCIGhe6P0U+n53iqxcOVO61ubDjl5q268kXmHYwWHkynOZ2mwqQ+sOLfhAp1cpa7gaGMPIQ1C1cSlEL7wqrXVKQcVKkopCJFJCSWRnZ7Nw4UIApk+fjrGxGJVRIWQ+htsn8qb6PYpW327hqCyU7uWv7KiydNJNnBqiUCj4Kugrenr0xNfJt1Q+s6jXlkKhHF31bGRVxNO6VZGJ6bzfwZOhfm4A/HQ6is/2XFO979m0P09HCzwcLanpZMnbTStmO1jeiHa99IlzLpRl+pLL6UscglCQHefuMPX3y0glsHWUHy097dW2bwvdxoKzCzCUGLKx28aC80WFAn4dolx06M11UPv1UoldeDUaXX3vv6pVq8b8+fNfOThBENTJ5XJdhyCUNlNr8O6lfCgUkByZ10F1+wSkJ8KVHcoHgLOPsnPK0185osrQRLfxF9POmzv5NexXfr/5O5ObTWZQnUGvtjRwMRXl2pJIJLhYm+FibUZrLwe1bc/ft6lub04f3yqqYusZ2TJuJ6VzOykdQhNwtzdXdUrlyuQM/PEM1e0s8HSywMPBEk9HC9zsLTA2FKOrhKJ59OgRZ8+eJSEhId+/5WHDhukoKkEQCqIvuZy+xCEI//VOM1fORiXz24W7fLT9En993AYnK1PV9oF1BnIx4SKHog7x6clP2d13N4bS/3RXSCTQ5ztITwIHL4Ty4ZVGSokkSZ24uyeUhEKhIDU1FQArK6tS+UNd0HO52XAnKG9Vv7jL6tuNLMC9Td6qfvaeel/sMS07jc9Of8bf0X8D0NW9K3NbzcXCyEJrn6nNa0uhUBCfkvV0RJVydFUlU0MmdqkNQFRSOh2+PpbvfQZSCa62Zng4WjKzex28nJTFPDNzZJgYSsX1ryf0oV3fu3cvgwcPJi0tjUqVKqn925BIJCQnJ+skLm3Rh3MuCK9KX3I5fYlDEArzJFtG3+9OERafip+HHVtH+alKKoAyX5x8YjLjG42nrn3doh308V2wrqaliIWS0Nr0vYqWJBWFSKQEQdCqtERlofRnI6nSE9S3W1cHr6ejqGq0AzMbnYT5MgqFgq2hW1l6fim5ilzcK7mzvMNyvGzL352ulMwcAm4mqTqtnhVbT3+udtXRyR2o4aDslBv10znO3k7G08kSD4dnhdaVtauq25tjYmigq69SIelDu16rVi26d+/O/PnzMTc310kMpUkfzrkgCIKgfRGJafReeZL0bBnjOnoxuWvtVzuQXA7HF0LAMhi+B9xaaTZQocS01ilV0ZKkohCJlCAIpUahgPirTzuoDkPMGZBl522XGEC1psoOKi9/qNIIpPrVoRGcEMzk45OJz4jHzNCM2X6z6eXZS9dhaZ1CoSAhVTm6KiIxnYHNXDF8Wii909JjRCamF/g+qQTGdfRSjcKKe5xJ1IN0PB0tcbA0FnfCtUAf2nULCwuuXLmCh4eHTj6/tOnDORcEQRBKx56Qe4zffgmAje82o2Pt/LVTn93MrGVbi+YuzfMfRKGAXaPhyk6wcoExAWDpqO3QhWLQWqdURUuSikIkUkJJyGQyzpw5A4Cfnx8GBvrVgSDouex0iDqVN9XvwS317aY24NEhr2C6ngxvTs5MZvqJ6QTeD8TJzIk9b+zR+FS+snRtZeYo61M9K7YemZRXbD0tK5fPe9VlROsaAGwJjGL2bmXBdStTQzwdLVUrAj4bXVWzspUuv04+4QmpfLj1EncfZvD12w153cdF1yG9kD606/369WPAgAG88847Ovn80qYP51wQXpW+tDf6EocgFMXsP6+y5Uw0NuZG/DW+LVVszNS27wjbwRdnvsDe1J6dvXbiaF5Ah1NWGvzYCZLClPnukF16dzO2ItNaofOuXbty/vx50SklCBoik8n4559/AGjWrJlIIITiMbaAWl2UD4BHMcopfuGHIfI4ZD6C638qHwAOtfNqUbm1AmPdjHi1M7Xj+87f88PlH2hZpaVWakuVpWvL1MgAb5dKeLuoN9gKhYLE1Cy16XsSiQRXOzPuPnxCamYuwXceEXznkWq7q50ZAVM7ASCTK1h4IBR3BwtV55WjpUmpj6764Xgk/t5OTO1Wp1Q/tyzr0aMHU6ZM4fr16/j4+GBkZKS2vXfv3jqKTBCE/9KX9kZf4hCEopjV05vgO4+4EvuYD7dd5Nf/tVRbDKaXZy9+CfuFWw9vMfXEVH7s8mP+wucmlvDOZvixo3JFvuOLoeOM0v0iQokVu1NKJEmCoFlSqRRfX1/Vc0EoEZvq0GSE8iHLhXsX86b6xV5Q3klKCoMzq8HABNxa5k31c6pbqgXTDaQGfOD7gepnhULB4nOLaVmlJe2qtSvx8cvDtSWRSHCqZKr22hA/N4b4uZGZIyP6QcbTQutpqlUBq9nldTTee/SEHwNuq73fysQQDydLPB0s8HC04O2mrlT+z2do2r3HT2jlZf/yHQWV0aNHAzBv3rx82yQSCTKZLN/rgiDohr60N/oShyAUhYmhAasHN6bHigAuxTxi4YEbzOmVV9zczNCMpe2XMmDfAM7Hn+e74O/4uPHH+Q/kVAd6fgN//A+OL4LqLZSzA4Qyo9jT9170C66iJkliyLkgCGVCRjLcPvF0qt8RSLmrvt3SWdmIe/mDR0ewKN1OhH+i/2HisYkAjPYZzYe+H2IghmCXyP3HT1gXcFvVaXX3YQby/7T6hye1x9PREoBZf17hTvIT1agqD0cLvBwtcbR69dFVwzecJeBWIoYGUgylEo5P6cgX+65zKjwJuUJB/2bVmf66cgTVxlO3+el0FImpWXg5WbLp3ebYWhiX6By8iorcrvfu3Zvg4GASEhKwtbWlc+fOLFq0iCpVqrzwfYGBgXz66acEBQVhYGCAr68vhw4dwszM7IXve6Yin3NBEISK7J/r8YzefB6ANUMa062++hT/g1EHmXJ8CgDf+X9X+I3LPePh4k9g7gDvB0ClF7dbgvZpraaUkJ9IpARBKHMUCki6mTfVL+ok5D55bgcJuDTMm+rn2hwMjAo9nCZky7L5+vzXbL+xHYAWzi1Y2G4hDmYOWv3ciiQzR0ZMcgYRCXl1qxa92QCjpwXX/ZceI6KAgutWJoZ4OFowxM+Nt5u6AsplnQ0NJKr3vkj/HwIZ0NyVNxpVY+j6IKpYmzG7V10MpRKu3UuhiZstf16KZdk/N/lxWFNqOlly/X4K7g4WWJoUe1B3iVXkdn358uW0bNkSFxcXYmNjmTx5MgCnT58u9D2BgYF069aNGTNm0KtXLwwNDQkJCaFPnz6YmJgU6XMr8jkXBEGo6Ob/FcraE5FYmRiy96M2uDuol3WYHzSf7Te2Y21izc6eO3GxLKA2ZU4mrO8MiWHw9iao06N0ghcKJTqlSpFIpARBKPNyMiEmUNlJFXFEucLf84ytoEbbvJFUdtqrK3jg9gE+O/0ZT3Kf4GjmyNftv6Zx5cZa+zwhz7moZG7Gp6oVXL+TnDe6anbPurzXRllwfWtQNC1q2OHl9PKi6s86pVp6ONB28RFCPuuCubF6Z9OQdUH0aODCwObVNf69iktf2vX09HSOHz9OTEwM2dnZatvGjx9fKjHs2bOHvn37kpWVla9kwzN+fn689tprfPHFF0U+blZWFllZWaqfU1JScHV11fk5FwRBEEpfjkzOoB/PcC7qIXVdKrHrg1aYGuWNls+WZTP8wHCuPrhKI6dG/NTtp4JHcD+IgKxUqOJbesELhdJaoXPQjyRJEMqL7Oxsli1bBsDEiRMxNi79qSqCgJEpeHZUPvgCUuPyOqgijkDGAwj7S/kAsK2R10FVox2YaG61t9drvE5t29pMODaByMeRjDw0kglNJjCs7rBiTSET11bxNXO3o5m7ndprWbl5tavqOOclFPcfZVLdrngF6u8/foK9hUm+Dqln21xtdVN4Xx9dunSJ7t27k5GRQXp6OnZ2diQlJWFubo6Tk1Op5FvJycls3bqVVq1aFdohlZCQQFBQEIMHD6ZVq1ZERERQp04dvvrqK9q0aVPosRcsWMDcuXO1FboglCp9aW/0JQ5BKC4jAykrBzam+4oArt9PYe7e6yzo56PabmxgzNcdvuaDfz9gnO+4wvNBe0/1n7PSlMXQBb1W7E4pfUiSBKG8yczM1HUIgqDOyhl8BykfcjnEhTyd6ncE7pyBh7fh/HrlQ2oIri2edmr5g4svlLDAqoeNB9t7bGdu4Fz+uv0XP175kR4ePYo9lU9cWyVnYmhArcpW1Kqs3vE4uWvtYh+rio0ZyenZPMmWYWZskG/b3YcZJYq1PJkwYQK9evVizZo1WFtbc+bMGYyMjBgyZAgff1xAoVcNmjZtGqtWrSIjIwM/Pz/27dtX6L6RkZEAfP7553z99df4+vqyefNm/P39uXr1KjVr1izwfTNmzGDixImqn5+NlBKEskpf2ht9iUMQisvZ2pRvB/gybMNZtp+NoXkNW95oVE21vaplVf7o8wdSSRFyTIUCgtZAwFIY9S/YumsvcKHEij19r0OHDtSqVUuVJIWEhKglSf369dNWrHpLX4b5C2WTQqEgOTkZADs7u1Jfql0Qii0rFW4HPB1FdRiSI9W3m9srC6V7dlI+KhUw77+IFAoFO8J2UMWyCm2rtS32e8W1pR/+W1Oqmq05s3p4YyCVcP1+Co2r27I7OJblT2tKeTlZcu1exa4pZWNjQ1BQELVr18bGxobAwEC8vb0JCgpi+PDh3Lhxo8jHmj59OosWLXrhPqGhodSpoyw4n5SURHJyMtHR0cydOxdra2v27dtX4DV0+vRpWrduzYwZM5g/f77q9QYNGtCjRw8WLFhQpBj14ZwLwqvSl/ZGX+IQhJJY/s9Nvj18CzMjA/aMa03NygWPxt8XuQ8fBx/cKrnl3yjLgY2vw91zUKURjDwEhkWrcShojtam7wUHB/PDDz8glUoxMDAgKysLDw8PFi9ezPDhwytkp5QglIREIsHeXiyVLpQhJlZQp7vyAZB8W9k5FXEUIo8rp/pd/U35AHCqB15PO6iqt1JOFSwiiURC/zr91V5bcXEF1StVp69X35e+V1xb+ueb/r7M2XONNouOIJFIGNDMlcbVbenjW5WktGxG/nSO5LRsala2YtO7zXQdrs4YGRmpVjx2cnIiJiYGb29vrK2tuXPnTrGONWnSJEaMGPHCfTw88urEOTg44ODgQK1atfD29sbV1ZUzZ87QsmXLfO9zcVF2OtetW1ftdW9vb2JiYooVpyCUVfrS3uhLHIJQEuP9a3Ih+iEnw5MYu/Uiuz9sjcV/blBtub6FxecWU9u2Nj93/xlTw//klgZG8NZG+KEt3LsEhz6FHl+X4rcQiqPYnVKaTJIEQRCEcsCuBtiNgmajlHem7p5TrugXcRjuBUPCNeXj9EowNAP31sppfp6dwLE2FONO7vm48/x45UcAghOCmd58ev5ERNA7v47J68ywtzThu0EFF65/r00NVSH1iq5Ro0acO3eOmjVr0r59e+bMmUNSUhJbtmyhfv36xTqWo6Mjjo6OrxSHXC4HUCtK/jx3d3eqVKlCWFiY2us3b97k9ddff6XPFARBECouA6mEbwb40mNFAOEJaXz6xxWW9/dVG/nXxa0L666sI+xhGAvPLuTzVp/nP5CNK/T7Eba+Bed+hOp+4PNW6X0RociKXfTjWZIEqJKkrVu38sknnxQ7SRIEAWQyGWfPnuXs2bPIZDJdhyMIJWNgBG6twH82/O8YTImAN9eD72CwcoHcJxD+LxyaAatbwPL6sHscXPsDMpJfevjGlRsrC1wi4fdbvzP0wFDupBR8Q0RcW0JZNn/+fNUopK+++gpbW1vGjh1LYmIia9eu1cpnBgUFsWrVKoKDg4mOjubIkSMMHDgQT09P1Sip2NhY6tSpw9mzZwHlyIwpU6awYsUKfvvtN8LDw5k9ezY3btzgvffe00qcgqBv9KW90Zc4BKGkHCxNWDmwMQZSCX8G32P7WfVcr7JFZRa2XajKB/dE7Cn4QDVfg7aTlc/3fgxJt7QcufAqij1Sav78+aSmpgLKJGnYsGGMHTuWmjVrsmHDBo0HKAjlnUwm46+/lCua+fr6YmBg8JJ3CEIZYmGvvCvl85ay6GRCqHIEVfhhiD4NKXfh0hblQyKFKo2VK/p5+kPVJmCg3kxJJVLGNBxDA8cGTA+Yzo3kG/Tf158v23xJp+qd1PYV15ZQVikUCpycnFQ3+5ycnDh48KDWP9fc3Jxdu3bx2WefkZ6ejouLC926dWPWrFmYmChrceTk5BAWFkZGRl5R+k8++YTMzEwmTJhAcnIyDRs25J9//sHT07OwjxKEckVf2ht9iUMQNKF5DTumdK3NwgM3+HzvNRpUs6Z+VWvV9pZVWjLWdyyrg1fz5ZkvqWtXFy9br/wH6jAD7gRBVADsGAajDoOxWO1XnxSr0LlCoeDOnTs4OTlhaiqmSzwjinMKJZGbm8uuXbsA6NevH4aGpV/UVxB0IucJRJ9SrugXcRgS/1O42cQaPNopO6i8/MGmutrmuPQ4phyfQnBiMADv1nuX8Y3HYyhVXkPi2hJela7bdblcjqmpKdeuXSt09bryRtfnXBBKQl/aG32JQxA0RS5X8L8t5/k3NIHqdubsG9+GSqZGqu0yuYyx/44l8H4gNaxr8EuPXzA3KqDDKTVeWV8qPREGbIfa3UrxW1RcRW3bi9UppcskqXfv3gQHB5OQkICtrS2dO3dm0aJFVKlSpdD3rF27lm3btnHx4kVSU1N5+PAhNjY2avskJyfz0UcfsXfvXqRSKW+++SbffvstlpaWRY5NJFKCIAga8Dg2b0W/iKOQ+Uh9u71XXgeVexswtiBHnsPyC8vZcn0LZoZm7Oy1U7UKi0wmIyAggPv37+Pi4kLbtm3FXWOhSPShXa9Xrx7r16/Hz89PJ59f2vThnAuCIAj653FGDj1WBnD34RO61qvMmiFN1OpLJWcm8/bet0nISKB7je4salfIarNRp0AhgxrtSilyoahte7FqSkmlUmrWrMmDBw9KHGBxdezYkR07dhAWFsbvv/9OREQEb7314kJlGRkZdOvWjZkzZxa6z+DBg7l27Rr//PMP+/bt48SJE/zvf//TdPiCIAjCy1hXhcZD4e1NMDUSRh2Bjp+Cqx9IDOBBOJz9Aba9A4vc4adeGJ1exdRq3Vja/mvmtZqn6pDatWsX7u7udOzYkUGDBtGxY0fc3d1Vd5AFQd8tXLiQKVOmcPXqVV2HIgiCIAg6Y21uxHeDGmNsIOXQtXg2nIpS225nasfX7b/G1sSWLm5dCj+Qe2v1DqmnC3kIuleskVIAe/fuZfHixXz//fc6LWy+Z88e+vbtS1ZWFkZGRi/c99ixY3Ts2DHfSKnQ0FDq1q3LuXPnaNq0KQAHDx6ke/fu3L1794WjsJ4n7u4JgiBo2ZNHyloAz1b1e/SfpeYtnJSr+Xn5s+tKOm8OHQn/ad2e3VX77bff6NevX+nELZRJ+tCu29rakpGRQW5uLsbGxpiZmaltT05++cIAZYk+nHNBEARBf20OjGLO7msYSiX8OqYlTdxs1bZn5GQUPHWvICG/QuAqGLEfTEWboy1FbduLPa92mw0AAQAASURBVNF42LBhZGRk0LBhQ50lScnJyWzdupVWrVq9tEPqRQIDA7GxsVF1SAF07twZqVRKUFAQb7zxRoHvy8rKUlsaOSUl5ZVjEIScnBxWrFgBwPjx40v0b1oQyi0zG/DupXwoFPAgIq9gelQApCfA5V+QBW/nw2/T83VIgbIuokQi4ZNPPqFPnz5iKp+g17755htdhyAIQhHpSy6nL3EIgjYM9XPj7O1k9l2+z7htF9k/vi12Fsaq7c93SJ2OPU19x/pUMi6gIyQ7HQ7PUy62s+cj5Qj956YDCqWv2J1SukySpk2bxqpVq8jIyMDPz499+/aV6HhxcXE4OTmpvWZoaIidnR1xcXGFvm/BggXMnTu3RJ8tCM8oFArVipbFHLgoCBWTRAIOXspHizGQm6VcVSX8MAEHdhGXUvh0p2cLdgQEBNChQ4fSi1kQimn48OG6DkEQhCLSl1xOX+IQBG2QSCQsfLMB1++lEJmUzoRfg9k4ohlSqXqH0uZrm1lyfgmdXDvxTcdv1OpPAWBsoeyI2vg6XP8Tzv4ILUT5Hl0qdqeUJpOk6dOns2hRIYXIngoNDaVOnToATJkyhffee4/o6Gjmzp3LsGHD2LdvX/5/aFo2Y8YMJk6cqPo5JSUFV1fXUo1BKD8MDQ15//33Vc8FQSgmQxNljYAa7bifVAcY9NK33L9/X/txCUIJFDYKWyKRYGJigrGxcYHbBUEoffqSy+lLHIKgLZYmhqwe0pg+q05x/GYiq4+FM66T+gJsTSo3wUhqxJE7R9h8fTPD6xXQf+HaDLp8AQenw6GZULUJVGtSSt9C+K9i/7bSZJI0adIkRowY8cJ9PDw8VM8dHBxwcHCgVq1aeHt74+rqypkzZ2jZsmWRP/N5zs7OJCQkqL2Wm5tLcnIyzs7Ohb7PxMQEExOTV/pMQfgvqVT6wn9vgiAUnYuLy6vvJ8tVjsKSiml9gu7Z2Ni88KZbtWrVGDFiBJ999hlSabHWrREEQcP0JZfTlzgEQZvqOFfii771mfrbZZb9c5PGbra08nRQba/nUI+pzabyVdBXfHPhGxo6NsTXyTf/gVq8D9GnIXQP7BwOY06AuV3pfRFBpdidUppMkhwdHXF0dCxuCADIn1bLf762U3G1bNmSR48eceHCBZo0UfaMHjlyBLlcTosWLV75uIIgCIJutG3blmrVqhEbG1vo1AUzBzNcGxQwujXiCPzxP/DoqCqaTqWiLXghCJq2adMmPv30U0aMGEHz5s0BOHv2LD/99BOzZs0iMTGRr7/+GhMTkxeuMiwIgiAI5c07TV05dzuZnRfuMn57MH+Nb4NTJVPV9v61+3Mx/iIHog4w6fgkdvbaiZ3pfzqcJBLoswrir0JyJPw5FgZsB3Gjp9QVe/W9zZs3FylJmjJlisaSpKCgIM6dO0ebNm2wtbUlIiKC2bNnEx8fz7Vr1zAxMSE2NhZ/f382b96siisuLo64uDjOnz/P6NGjOXHiBFZWVlSvXh07O+U/ytdff534+HjWrFlDTk4O7777Lk2bNmXbtm1Fjk+sGCOUhEwm48qVKwD4+PiI4suCUEK7du3irbfeAv5TU0MCKMB1nCtVWlZhXqt5dHF/bungQ58qV2J5nqO3snPKsyO4tQYj9cU9hPJJH9p1f39/xowZwzvvvKP2+o4dO/jhhx84fPgwW7Zs4auvvuLGjRs6iVGT9OGcC8Kr0pdcTl/iEITS8CRbxhurT3EjLpUWNezYOqoFhgZ5HUrpOekM2DeAqJQoWldpzerOq5FKCuhwun8Z1nUGWRYM2wMe7UvxW5RvRW3bi90N+NNPP7F06VK++OILevXqRa9evfjiiy/4+uuv+fXXX/n0009ZsWIFmzdvLtEXeJ65uTm7du3C39+f2rVr895779GgQQOOHz+umkaXk5NDWFgYGRkZqvetWbOGRo0aMXr0aADatWtHo0aN2LNnj2qfrVu3UqdOHfz9/enevTtt2rRh7dq1GotdEF5GJpPx559/8ueffyKTyXQdjiCUef369eO3336jShX1UU6u1VzZsG0DnXp0Ij0nnUnHJ7Ho7CJy5DnKHTp/DiMPQbupULUpIIHEUGVH1c9vwqaeeQdTKJQPQdCS06dP06hRo3yvN2rUiMDAQADatGlDTExMaYcmCMJ/6Esupy9xCEJpMDM24LvBjbEwNiDodjLL/72ptt3CyIJlHZZhamDKqXunWHu5kL/xXRpAr2+h/8+iQ0pHij1SyszMjMuXL1OzpnpBsVu3btGwYUMyMjK4ffs29erVU+sgKs/E3T2hJHJzc/n1118B6N+/vyhMKQgakpWVxbx583j06BH9+vWjQ4cOGBgYkCvPZcWlFWy8uhEAX0dflrRfgrPFf+pwZCRD5DHltL6II+DzNrz2dOXVmDOw813lND/Pp9P9RB2CckMf2vVatWrRr18/Fi5cqPb69OnT+eOPPwgLC+P8+fP06dOH2NhYncSoSfpwzgXhVelLLqcvcQhCadobco+Ptl8CYOOIZnSs46S2fXf4br448wWftviUN2q+oYsQK6yitu3F7pSqaElSUYhEShAEoew5EnOEWSdnkZqTiq2JLYvaLaJllUIWzlAoIDcLjJ7WKzg6H44/v3qsBKo0ejrVrxNUawYGRlr/DoJ26EO7vmfPHt5++23q1KlDs2bNADh//jw3btzgt99+o2fPnnz//ffcunWLZcuW6SRGTdKHcy4IgiCUTXN2X2VzYDQ25kbsH9+Wqjbq5Rbi0uPy33wszM1DELId3lwvFr8pIa11SlW0JKkoRCIlCIJQNt1JucPE4xO5kXwDCRI+8P2A/zX4X8E1B56XkwkxpyH8sHIUVcJ19e2VfWDsSe0FLmiVvrTrUVFR/PDDD4SFhQFQu3ZtxowZg7u7u85i0hZ9OeeCIAhC2ZOVK+PtNYFcvvsYX1cbdoxpibFhwbnc9QfXqWVbC0NpASMJM5LhGx/IToP206CjWEikJLTWKQUVK0kqCpFICYIglF2ZuZksPLuQ32/9DkDrqq1Z2GYhNqY2RT9Iyr28aX4RR6FeX+i5XLkt/jr8OiRvRT/3tmBiqfHvIWiOaNdLnzjngiAIQkncSc6gx4oAUjJzGdm6BnN61c23z7bQbSw+t5gR9UbwSZNPCj7Q5R2wazQggSG/K3M34ZVotVNKUCcSKaEkcnJy+P777wEYO3YsRkZiyo8gaEJxr60/w//kyzNfkiXLwsXChaXtl+Lj6FP8D5bLIDsdTJ+2B6dXwt+z8rZLjaC639NaVP7g3EAsP6xn9K1d9/Hx4a+//sLV1VXXoWiNvp1zQSgOfcnl9CUOQdCVf67HM3rzeQC+H9yY131c1LYfjDrIlONTAPjO/zvaVWtX8IH2fgIXNoK5PYwJAOuq2gy73NLa6nvP8/Hx4c6dOyU5hCBUeAqFguTkZJKTkxF9xIKgOcW9tvp69WVr961Ut6rO/fT7DDs4jF9u/FL861JqkNchBdB4OPTfCk1Hgo0byHMgKgAOz4O17eH7VsX8ZkJFExUVRU5Ojq7DEAShEPqSy+lLHIKgK6/VrcyYdh4ATP3tMlFJ6Wrbu7l3Y2CdgQDMCJjBvbR7BR+o20LlTcOMB/DbuyATbbA2lWiklJWVFSEhIXh4eGgypjJH3N0TSkIul3P37l0AqlWrhlSMmBAEjXjVays1O5U5p+bwb8y/ALxe43U+b/k55kbmmgnsQUTeVL/bJ6BWN3hrvXLb47uwbYByFJWXP1RvCYYmmvlcocj0rV2vCPmWvp1zQSgOfcnl9CUOQdClHJmcQT+e4VzUQ+q6VGLXB60wNcorWJ4ty2b4geFcfXAVHwcffur2E0YFLU6THAk/tIesFGj1EXT5shS/RflQKtP3KkKSVBQikRIEQShfFAoFm69vZvmF5cgUMjysPVjeYTkeNhpu73KzlcmOhYPy5ws/wd7xeduNzMG9jbIelac/ONQEiUSzMQj56Fu73r17d9avX4+Li8vLdy6j9O2cC4IgCGVX3ONMeqwI4EF6NgObu7KgXwO17bFpsbyz9x1SslMY7D2Y6c2nF3yg63tgx1Dl8/8dU660LBRZqUzfa9u2LWZmZi/fURAEQRDKEIlEwvB6w9nQdQNOZk5EPo5kwP4BHLh9QLMfZGic1yEF4N0L+q2DhoPAsjLkZMCtv+HgdPiuGXzXAuRyzcYg6L2//vqrXHdICYIgCIImOVub8u2ARkgksP3sHXZdvKu2vaplVea3mQ/A1tCtHIo6VPCB6vaGNhOh9yrRIaVFotC5Boi7e0JJyOVyQkNDAfD29hZDrQVBQzR1bSU9SWL6iekExQUBMKD2AKY0m4KxgbHGYi2QQgHx155O9TsM0YHg0R4G71Ruf/Iwb6qfpz9UbaysZyWUmK7a9T179vD6669jZGTEnj17Xrhv7969Symq0iFyKaEs05dcTl/iEAR98c2/N/nm31uYGRmwe1xralW2Utu+7MIyNl/bzNRmUxnkPUhHUZZfGp2+V5GTpKIQiZRQEtnZ2cyfr+ypnzlzJsbGWv5DVxAqCE1eWzK5jO+Cv+PHKz8C4OPgw9L2S3GxLMXRK9kZyoKbNk9XYLv2J+wcnrfd1Bo8Oig7qLz8wbpa6cVWzuiqXZdKpcTFxeHk5PTCPyYlEgkymazU4ioNIpcSyjJ9yeX0JQ5B0BcyuYLhG85yMjwJLydLdn/YGgsTQ9X2XHkuNx/epK593aIdMDoQIo9Cx5lairh8KWrbbljoluf07dtXlST17du30P3KY5IkCNomkUhwd3dXPRcEQTM0eW0ZSA0Y33g8vk6+zAiYwZWkK7y9720Wtl1Im6ptNBBtERibKx/PVG8JvVYoR1FFHoPMx3B9t/IB4FQPxpwAgyI19YIekD83NVMupmkKQpmhL7mcvsQhCPrCQCrhmwG+9FgRQHhCGp/+cYXl/X1V14eh1FCtQyouPQ5nC+eCD/boDvzUS7mKsn1NaPB2aXyFCkFM39MAcXdPEASh4ohNi2XisYlcf3AdCRLGNBzD+w3ex0CXU+dkuXDvonKq3//Zu++oKK42DODP7gJLr9JBQGzYu2JDI1GjsSSWWGKLscXeoiZ2o0aN+YzGmsSW2GuMscTYe8cuYsGGgPRelr3fH4TVFdAFYXeB53cOR2bmzp13Lizzemfm3vuHgeeXALd6QP//xkhITwa29AK8mmQ+SeVYmQOmvwWv69rHNiciosJyMTgK3VadQ4ZSYM4nVdGjfulsZXYF7cLs87MxpcEUdCjbIeeKDs8CTv4AGJplDnxuX75wAy/itDL7HmViIkVEVLKkZqRi/oX52HpvKwDA19kX3zf9HrbGtjqO7D/J0UDCy1fJ0v3DwB+fvtpu7vhqRj/v5uqDrZPeXNcvXryIo0ePIjw8PNuTUz/++KOOoioc+tLmRERUPK08/gBz99+FkYEUO4c0RBVXK7Xty68tx7KAZTCWGWNj240oZ1MueyXKDGB9ByD4JGDvAww4DBiZaekMip5C7ZQqSUmSJphIERGVTH89+Auzzs1CsiIZDqYOWOi3EDUcaug6rOziXmS+1vfgMBB8KnNWPxUJ4Fwd+OIAYFhIM+pOtwJG3wasXAun/gKmD9f1OXPmYPLkyahQoQIcHR3VXsWRSCQ4cuSITuIqLPrQ5kREVHwplQIDf7+Ef++Eo7StKfaOaAxLY0PV9gxlBob8OwRnX5yFp6Untny8BaaGptkrig8DVjYBEsKA6t2Bjsv59HkuCq1TqqQlSZpgIkXvIz09Hb/99hsAoH///jA0NHzHHkSkCW19toKigzDm2BgExwXDQGKAsXXGoqdPT/0dz0ORCjw5+9+rfkeAsBuAQyXgq7OZ25UZwM6BQOkGmQOm25Z5/2OyUyrPHB0dMW/ePPTt21cnx9c2fWhzovzSl1xOX+Ig0lexSelou+QknkUno1VlR6z4vLZavhaVEoUuf3VBeFI4PvL6CPOazMs5n3t0EljfHhBKoP0SoFZvLZ5F0VGgA52/7qeffsLq1atLTJJEVNiEEAgNDVV9T0QFQ1ufrXI25bD5482YdmYaDgYfxLyL83A1/CpmNJwBcyPzQjtuvhnIM2fpK9MM+HBm5h2/+JBX20OuAje3Z34BgI1X5qt+ZVsAnk0AY3YYaINUKkWjRo10HQYRaUBfcjl9iYNIX1mZGmJpj1rosuIsDt4Kw+rTwejf2Eu13dbYFj/4/YB+B/ph/6P9qONYB10rdM1ekVcT4IPJwOGZwL7xgEcjwM5bi2dSvOT5SSlnZ2ecOHEC5crl8I5lCcW7e/Q+lEolHj16BADw8vJ66zTgRKQ5bX+2hBDYeHcjfrj4AxRCAU9LT/zY7MecxyTQZ7HPgeubM5+ienoOUCpebZMaZA6g3n0TYGKteZ3TrYC2C4HTPwGpCUDDYUCTsZnbMhTA8XnAtU2ZMwg6VQP6/Z15F3LPcKBqZ+DCKsC0FND2h8wOskKmD9f1+fPnIyQkBIsWLdLJ8bVNH9qcKL/0JZfTlziI9N36s8GY+uctGEgl2DLIF7U9bNS2r725FgsvL4Sh1BC/t/kdle0qZ69EqQS29MycDbnhcL7Cl4NCe32vpCVJmmAiRUREWQLCAzDu+DiEJYXBxMAEUxpMQTvvdroOK39S4zM7hx4cyRyPKuohYOkGjL6Zt+RruhVQqQPQYRkQ8wRY1QwYei7z1cATC4C7+4Cu6wFLF+DJOcCz0X+PxncAGo0Emk0Cgv4Bdn8FjLoGmNi885DvQx+u60qlEm3btsW9e/dQqVKlbK/h7Ny5UydxFRZ9aHMiIioZhBAYtukq/r7+As5Wxvh7RBPYmhmpbR95dCSOPj2K8XXGo3flXF7PE4KdUW9RaK/vjRs3Dm3btoW3t3eJSJKIiIjyooZDDWxttxUTT0zE2Rdn8c2pb3A1/Com1JsAuUyu6/DyRm4BVGyT+QUAUY+A2Gf5S8Aajwbk5oBjJcCxMhB2O7NTKmBj5lNU1u6Z5Txfe2VNagD4TQAMjACfj4EzS4Cgf4FqXd7/3PTciBEjcPToUTRv3hx2dnb6O0YZERFRESORSDCvUzXcCYnDw4hEjNkagNV96kIqlai2z2o0CzcjbqKR61tepX/92hx6IzO3qf5ZIUdf/OS5U4pJElHBUiqVuH//PgCgbNmyfNSaqIDo8rNla2yL5f7LsfL6Sqy4tgLb7m3DrchbWOi3EG4WblqLo8DZemV+5YeZw6vvDU2BtMTM7+NCAGuPXPYpBRgav1q2cgUSQvN3/CJm3bp12LFjB9q2bavrUIjoHfQll9OXOIiKAnO5AZb2rIWOS0/jWOBLLDt2H8M+eDXkgpXcSq1DKik9KefZ+AAg/A7wq3/mZDF23oBbncIOv1jJ81+qrCRp//79WLt2LdasWaP2RUR5o1AosHHjRmzcuBEKheLdOxCRRnT92ZJJZfiqxldY5r8M1nJr3I68jc/2fobjT49rPRa9Zuma+UpfTpIigfSUV8uxzwFzJ+3EpWO2trbw9uagqURFga6vN/oWB1FR4eNsiVkdqwAAfjx0D2ceRORY7vDjw2i9ozUCwgNyrsi+IlCuJaBMB7b1BZKiCifgYirPnVJMkogKlkQigYuLC1xcXPjkIVEB0pfPVmPXxtj68VZUK1UNcWlxGHZkGH668hMUSv6HAQBQowdw5LvM1wKVGUDw6VfbMtIzx5zKSM8cdyr8DlDOX3exatH06dMxbdo0JCUl6ToUInoHfbne6EscREVJ1zru6FzbDUoBjNgUgPC4lGxlDj4+iOjUaIw9PhZRKTl0OEkkQIefM2csjn0K7B6SORA6aSTPA52vWbMGBw4cwJo1a2BqmsvjayUMB+ckIqJ3Sc9Ixw+XfsDGuxsBAPWc6mFe03koZVJKx5FpwXQrYPTtzNfvAGBNW6BW78xxFzLSgWNzgWubM2fmc64G9N2bw+x7dkCbBUDZwu+U0ofres2aNfHgwQMIIeDp6ZltDM8rV67oJK7Cog9tTkREJVNyWgY6Lj2NwLB41PeyxYYv68NA9ur5ncT0RHTb2w3BccFo6NIQy/2XQyrJ4fmeF9czX+PLSAX8p2eOp1mCFdrseyUtSdIEEykiItLU/kf7Me3MNCQrkmFvYo8FfgtQ27G2rsPSP1mdUiMDtH5ofbiuz5gx463bp02bpqVItEMf2pyIiEquBy8T0H7JKSSmZWBoc2+Mb1VRbXtQdBB6/N0DKRkpGFpjKAZXH5xzRZfXAn+NBCQyoM9f6hO4lDCFNvtex44d3ycuIiKiEu0jr49QwaYCxhwbgwexD9D/YH+MqjUKfSr34esWpKKrTqf27dsjICAA4eHhsLGxgb+/P+bNmwcXF5ccywcHB8PLK+fB77du3YouXYr/TIlERFT0edub4/tO1TB801UsPfoAdTxt0bzCq0laytmUw+QGkzH59GQsC1iGGg410MC5QfaKavUBHp8Brm8Btn8BDDmdOXEL5SrPT0pRdry7R+8jPT0d69evBwD07t0729OHRJQ/+v7ZSkpPwoyzM7Dv0T4AwAfuH+C7xt/BwshCx5HpiRL+pBQAxMTEYPv27Xjw4AHGjx8PW1tbXLlyBY6OjnB1dS2UY/7vf/+Dr68vnJ2d8fz5c4wbNw4AcObMmRzLZ2Rk4OXLl2rrVq1ahQULFuDFixcwNzfX6Lj60uZE+aEv1xt9iYOoKJuy+yZ+P/cY1qaG+HtEE7ham6htn3p6Knbd3wVbY1tsa7cNDqYO2StJSwR+aQFUaA00nwzI8vwsULFQaE9KAbpJkoiKKyEEnj59qvqeiAqGvn+2TA1N8X2T71HLoRbmXZyHI0+P4LO9n+HHZj+iom3Fd1dQ3Hk10UmHlL64fv06/P39YWVlheDgYAwYMAC2trbYuXMnnjx5ovqPZ0EbPfrV+BceHh6YOHEiOnbsiPT09Bz/gyuTyeDkpD4j4q5du9C1a1eNO6SIijp9ud7oSxxERdnkj30Q8DQGN57HYtjGK9gy0BdGBq/Gj/qm/je4FXkL96Lv4WDwQfSq1Ct7JUZmwMCjgKFJ9m2UTZ6flHozSQoMDESZMmUwefLkQk2S9Bnv7tH7UCqVuHfvHgCgfPnykErzPCkmEeWgKH22bkbcxNhjYxGSGAK5TI5v63+LT8p9ouuwSix9uK77+/ujVq1amD9/PiwsLHDt2jWUKVMGZ86cQY8ePRAcHFzoMURFRWHIkCF4/vw5Tp06pdE+ly9fRp06dXD69Gk0bNgw13KpqalITU1VLcfFxcHd3Z25FBVJ+nK90Zc4iIq6p1FJaLv4JOJSFPiikRemtquktj04Nhg3Im6gnXc7zSqMegjEhwEevoUQrf7SNJ/K81+qMWPGoG/fvggKCoKxsbFqfZs2bXDixIn8RUtUgkmlUlSsWBEVK1Zk8kBUgIrSZ6tKqSrY2m4rmrg2QWpGKqaemYqpp6ciRZF9WmIqGS5evIhBgwZlW+/q6orQ0NBCPfaECRNgZmYGOzs7PHnyBH/++afG+/7222/w8fF5a4cUAMydOxdWVlaqL3d39/cNm0hn9OV6oy9xEBV17ramWNi1BgBg9elH2H/jhdp2TytPtQ4ppVDmXlnIVWBlM2BLTyD2eSFEW/Tl+a+VLpMkIiKi4spKboWfW/yM4TWHQyqRYtf9Xfh83+d4EvdE16GRDsjlcsTFxWVbf+/ePdjb2+eprokTJ0Iikbz16+7du6ry48ePx9WrV/HPP/9AJpOhd+/eGr0KlJycjI0bN6J///7vLDtp0iTExsaqvrJeOSIiItIHH1ZyxMCmZQAAX2+/juCIxBzLXXhxAZ/++SlCEkJyrsjeB7DxAJIiMwc+z0gvrJCLrDx3ShVkkkREmY9aBwcHIzg4GErlW3rZiShPiuJnSyqRYmC1gVj54UrYGtsiMDoQn+39DIefHNZ1aKRl7du3x8yZM5Genpm8SiQSPHnyBBMmTECnTp3yVNfYsWNx586dt36VKVNGVb5UqVIoX748PvzwQ2zevBn79u3DuXPn3nmc7du3IykpCb17935nWblcDktLS7UvoqJKX643+hIHUXExvlUF1PGwQXyqAl9tuIKU9Ay17UII/HT1JzyIfYBxx8chPacOJ0NjoOs6QG4FPD0HHJ6hpeiLjjx3ShVkkpTX45YuXRrGxsZwdnZGr169EBKSS2/kf1atWoVmzZrB0tISEokEMTEx2cp4enpmu1v4/fffF9JZEGWnUCiwdu1arF27FgqFQtfhEBUbRfmz1cC5AbZ+vBU1HWoiIT0Bo46OwsJLC6FQFq3zoPxbuHAhEhIS4ODggOTkZPj5+aFs2bKwsLDA7Nmz81SXvb296pWe3L6MjIxy3DfrP7avj/+Um99++w3t27fnTUoqcfTleqMvcRAVF4YyKZb0qAlbMyPcfhGHGX/dVtsukUgwv+l8WBpZ4kbEDSy8vDDnimzLAB2XZn5/Zglw9+9CjrxoyXOnVEEmSXnRvHlzbN26FYGBgdixYwcePHiAzp07v3WfpKQktG7dGt98881by82cORMvXrxQfQ0fPrwgQyd6K4lEAnt7e9jb20Mikeg6HKJio6h/thzNHPFbq9/Qu1LmUydrb61F/4P98TLppY4jI22wsrLCoUOHsHfvXixevBjDhg3Dvn37cPz4cZiZmRXKMc+fP4+ff/4ZAQEBePz4MY4cOYLu3bvD29sbvr6Zg7M+f/4cFStWxIULF9T2vX//Pk6cOIEvv/yyUGIj0mf6cr3RlziIihNnKxMs+qwGJBJg04Un2HX1mdp2V3NXzGk8BwCw4c4G/BP8T84V+bQDGgzN/H7XECDqUd4CmW5VbMekyvPse1lOnz6Na9euISEhAbVq1YK/v39Bx/ZWe/bsQceOHZGamprjFMWvO3bsGJo3b47o6GhYW1urbfP09MSoUaMwatSofMeiD7P0EBFR8fXv438x+fRkJKYnws7YDgv8FqCuU11dh1VsldTr+o0bNzBy5Ehcu3YNiYmJcHZ2RuvWrTF58mS4uroCAIKDg+Hl5YWjR4+iWbNmqn2/+eYb/PHHHwgODs7XAMsltc2JiKho+PHQPSw+HAQTQxn2DGuEco4Watv/d/l/WH1zNcwMzbDl4y3wsPTIXklGOrCmDfDsAuBcA/jiYObrfZqYbgWMvg1Yub7/yWiJptf2fHdK6VJepyh+V6dUSkoK0tPTUbp0afTo0QOjR4+GgYFBrvVxGmMiItK2x3GPMfrYaARFB0EqkWJ4zeH4osoXkEo4w1JB02UHydmzZxEZGYmPP/5YtW79+vWYNm0aEhMT0bFjRyxZsgRyuVyrcRU2dkoREZE+y1AK9Fl9AafuR6Csgzn+HNoIZvJXfQYKpQL9D/bHlfArqGBTAX+0+QPGBjl0OMU+A1Y0ASq1B1rPY6cU8vD63tmzZ7F37161devXr4eXlxccHBwwcOBAjcYbeB/vM0VxbkaMGIHNmzfj6NGjGDRoEObMmYOvv/76rftwGmMiItI2D0sPbGizAe2920MplPjpyk8YcWQEYlNjdR0aFaCZM2fi1q1bquUbN26gf//+8Pf3x8SJE/HXX39h7ty5OoyQiIio5JFJJVjUrQYcLOS4H56Ab3fdUJuZ1kBqgAV+C1QT1ex5sCfniqzcgK/OAu1+0rxDKsu9/cCiqsA8L+Dka+NXZSiAI7OB/1UB5roDa9pmrn90EvipBnDkO+D70sDiWsCDI3k7phZo3ClVGEmStqYofpsxY8agWbNmqFatGgYPHoyFCxdiyZIlb+1g4zTGVJDS09Oxfv16rF+/XjWBABG9v+L42TIxMMF3jb7DdN/pMJIa4fiz4/hs72e4FXnr3TtTkRAQEIAWLVqoljdv3oz69evjl19+wZgxY7B48WJs3bpVhxES0Zv05XqjL3EQFVelzOX4uUctyKQS7A4IwaYL6v0ADqYOmNd0HibWm4gu5bvkXpGF06vv40OBqIeaBfDoBDDkLND3b+DYvFf7nf4fcP9foN9+YEIw0Py1MbVjngDKDGDcfeDDmcDWvkBytGbH05Lc31F7Q0BAAGbNmqVafj1JAgB3d3dMmzYN06dP1/jgY8eORd++fd9a5s0pirOmKfbx8YG7uzvOnTunGnyzINSvXx8KhQLBwcGoUKFCjmXkcnmxe2yedEcIgYcPH6q+J6KCUVw/WxKJBJ3Kd0Ilu0oYc2wMniU8Q699vTCp/iR0LteZg9sWcdHR0XB0dFQtHz9+HB999JFquW7durwZRqRn9OV6oy9xEBVn9bxsMb5VBXy//y6m/3UL1dysUMXVSrW9gXMDNHBuoFllzy8Dt3YBfhM1K994NCA3BxwrAY6VgbDbmTP7BWwE2i4ErP97g8uz0at9pAaA3wTAwAjw+Thz9r+gf4Fqb+k00zKNO6UKI0nKmh0iP/IyRXFeBAQEQCqVwsHBoUDrJcqNgYEBPv30U9X3RFQwivtny8fOB1vabcG3p77FsafHMPPsTFwNu4rJDSbD1NBU1+FRPjk6OuLRo0dwd3dHWloarly5ghkzZqi2x8fHv3OCFyLSLn253uhLHETF3cAmZXDxURQO3w3H0I1X8NfwxrA0zn5tvhV5C0uvLsUPfj/knJvZ+wAf1gI0vaFo9lofhaEpkJaY+X1cCGCdw8DqAGBWSv01QStXICFUs+Npicav72UlSQBUSVKDBq96AAszScrvFMWhoaEICAjA/fv3AWS+chgQEICoqCgAmeNkLVq0CNeuXcPDhw+xYcMGjB49Gp9//jlsbGwK5VyI3iSVSlGtWjVUq1YtXzMWEVHOSsJny9LIEoubL8bo2qMhk8jw18O/0HNfTzyKzeM0w6Q32rRpg4kTJ+LkyZOYNGkSTE1N0aRJE9X269evw9vbW4cREtGb9OV6oy9xEBV3UqkEC7tWh6u1CR5HJuHrbdezPZ2oUCow/vh4nHx+EjPOzsj56UUjU807pN7G0jXzNb2cJEUC6SmvlmOfA+ZOOZfVEY3/WukySTI1NcXOnTvRokULVKhQAf3790e1atVw/Phx1Wt06enpCAwMRFJSkmq/FStWoGbNmhgwYAAAoGnTpqhZsyb27MkcdEwul2Pz5s3w8/ND5cqVMXv2bIwePRqrVq0qlPMgIiIqaBKJBF9U+QK/tPwFpUxK4X7MfXTb2w0Hgw/qOjTKh1mzZsHAwAB+fn745Zdf8Msvv8DIyEi1ffXq1WjZsqUOIyQiIiJrUyMs61kLhjIJDtwKxerTwWrbDaQGmN14NmQSGfY92odt97YVXjA1emQOZh77LHP8qODTr7ZlpAMnFmT+e3cfEH4HKOdfeLHkg0Ro+MJxREQEPv30U5w6dQrm5uZYt24dPvnkE9X2Fi1aoEGDBpg9e3ahBauvOI0xvQ+lUokXL14AAJydnXlni6iAlMTP1sukl/j6xNe4FHYJAPC5z+cYU3sMDGV83Ssv9OG6HhsbC3Nzc8hkMrX1UVFRMDc3V+uoKg70oc2J8ktfrjf6EgdRSbLuTDCm7bkFA6kEWwf7olZp9Teu1t5ci4WXF8JQaog/2vyBSnaV8neg6VbA6NuZr98BmTPs1eoNVP8ss8Pp2Fzg2mYgNQFwrgb03Zs5+96e4UDVzsCFVYCpHdBmAVBWO51Sml7bNe6UylLSkiRNMJGi95GWloY5c+YAAL755psS+RkiKgwl9bOlUCqw5OoSrL65GgBQ3b46fvD7AU5m+vWotj7jdV372OZUlOnL9UZf4iAqSYQQGLbxKv6+8QIuVsb4e0QT2JgZqW0feXQkjj49CldzV2xttxWWRlq6zmV1So0M0M7x3qDptT3P3edWVlbZOqQAwNbWln/4iPJBIpHA2toa1tbWnDWLqACV1M+WgdQAo2uPxuLmi2FhaIFrL6+h619dcSbkjK5DIyIqlvTleqMvcRCVJBKJBN93qgqvUmYIiU3B6K0BUCqF2vZZjWbB1dwVzxOeY8qpKZwd8w15flKKsuPdPSIi0kdP459i7LGxuBN1BxJIMKTGEAyqNghSCV/peBte17WPbU5EREXZnRdx6Lj0NFIVSoxvVQFDm5dV234r4hZ67e+FdGU6FjRdgNZerQs/qOL6pBQREREVDe4W7vi9ze/oVK4TBASWBSzDV/9+heiUaF2HRkRERFRs+DhbYlaHKgCAhf8E4syDCLXtlUtVxsR6EzG4+mB86PFhnutvtb0VroRdwS/Xf8HscxqO4+3VJNcOqb0P92LY4WHvPJ42sFOKiIioGJPL5JjecDq+a/QdjGXGOB1yGl33dsX1l9d1HRoRERFRsdGljhs61XKDUgAjNgUgPD5FbXvXCl0xtMZQyKTZh0PS1IBqA/Btg2/fN1R8XOZj/Nzi5/eupyCwU4pIxxQKBTZv3ozNmzdDoVDoOhyiYoOfLXUdynbAH23+gIelB0ITQ9HnQB9svLOR4xoQEb0nfbne6EscRCWVRCLBdx2roIKjBSISUjFi01UoMpQ5lg2ODcb3F76HUuS8vSRhpxSRjimVSty9exd3796FUsk/SkQFhZ+t7CrYVsCmtpvwoceHUCgVmHthLiacmICk9CRdh0ZEVGTpy/VGX+IgKslMjGRY2rMWzIxkOPcwCov+DcpWJkWRgr4H+mLDnQ345foveap/WcAyTDszTbW8K2gX/Lf5o9mWZth2bxuqrquK0MRQANlfwfv21LdYeW0lAGD3/d348p8vVdtOPjuJNjvboNGmRlgesDxPMb0vdkoR6ZhMJkO7du3Qrl27HGe2JKL84WcrZxZGFljotxDj64yHgcQA+4P3o9vf3fAg5oGuQyMiKpL05XqjL3EQlXRlHcwx59OqAICfj97H0cBwte3GBsYYVXsUAGDZtWW4E3knX8cJig7CvIvz8GOzH3Gg0wFcDbuar3qiUqIw7vg4TKg7Ace6HkOyIhlhSWH5qis/2ClFpGMymQy1a9dG7dq1mUAQFSB+tnInkUjQu3JvrG69Gg4mDngU+wjd/+6OfQ/36To0IqIiR1+uN/oSBxEBHWq44vMGpQEAo7cEICQmWW17x7Id0bl8Z4yuNRoVbSvm6xj/Pv4XLUq3QDX7ajA2MMbg6oPzVc/JZydRya4S/Nz9YCgzxJAaQyCRSPJVV36wU4qIiKiEqulQE1vbbUV95/pIViRjwskJ+O7cd0jLSNN1aERERERF2pSPK6GqqxViktIxdOMVpCnUX6ud2mAq+lbpm+8OoJfJL+Fk5qRafv3796nHxMAE1nLrfNWVH+yUItIxIQTCw8MRHh7OAYeJChA/W5qxM7HDSv+VGFhtIABgS+AW9NnfByEJITqOjIioaNCX642+xEFEmeQGMiztUQsWxga4+iQG8w7cVdv+vk8j2ZvYq8aPAqD2PZDZuZSS8WoGwMiUSI3qSVGkICY15r1iywt2ShHpWHp6OpYtW4Zly5YhPT1d1+EQFRv8bGlOJpVheM3hWNpiKazkVrgZeRNd93bFyWcndR0aEZHe05frjb7EQUSvlLYzxcIu1QEAv516hAM3XxRY3f4e/jj85DBuRtxEiiIFK6+vVNte3rY8/gn+BxnKDJwNOYtLoZdyrKeJWxPcjryNE89OID0jHcuvLddqxzY7pYj0gKmpKUxNTXUdBlGxw89W3jR1a4qtH29FZbvKiE2NxdDDQ/Hz1Z+RoczQdWhERHpNX643+hIHEb3SsrITBjTxAgCM33YdjyMTC6TecjblML7OeIw8OhKtdrRCDYcaatuH1hiKO1F30HBTQ+wK2oXm7s1zrMfW2Bbzm87H3PNz4bfVD8YyYziaOhZIjJqQCD7b+d7i4uJgZWWF2NhYWFpa6jocIiKi95KWkYb5F+djS+AWAEAD5waY13QebI1t81Vfq+2tMLfJXFwOu4zwpHB82+Db94pv78O9OPDoAH5u8fNbj1fLsVa+6ud1XfvY5kREVJylZyjRbdU5XH4cjcoultgxpCGMDTWfkOB+eDyGbriKZ9FJ+KFLdXxU1TnHclXXVcWhzofyPb5UQdL02s4npYiIiEiNkcwIkxtMxvdNvoeJgQnOvTiHLn91QUB4wHvVO6DagPfukAKAj8t8nGuHFBEREZG+MZRJ8XOPmrA1M8KtkDjM3Hs7T/uvPP4QLXwccGtm61w7pIoqdkoRERFRjtqWaYtNbTfBy8oL4Unh6HegH36//TsH0CUiIiLKI2crEyz6rAYkEmDj+SfYffW5xvuGxCajnKN5IUanO+yUItIxhUKBHTt2YMeOHVAoFLoOh6jY4GerYHhbe2NT201o7dkaCqHA/IvzMfb4WCSkJeS5rmUByzDtzDTV8q6gXfDf5o9mW5ph271tqLquqmr2l1bbW+FK2BVV2W9PfYuV1zIH8Nx9fze+/OdL1baTz06izc42aLSpEZYHLM/vqRIR5Yu+XG/0JQ4iyl3T8vYY3rwsAGDSzhsICot/5z59Vl/A2QeRmLDjBipNPYCX8akYsekqas86hJoz/8H3+1/N6jem7B50W3YHlaceQIefTyE6Ma3QzqWgsFOKSMeUSiVu3LiBGzduQKlU6jocomKDn62CY2ZohvlN52NSvUkwkBrg0OND6P53d9yLvpfvOoOigzDv4jz82OxHHOh0AFfDruarnqiUKIw7Pg4T6k7Asa7HkKxIRlhSWL7jIiLKK3253uhLHET0diP9y6Ohtx2S0zPw1YYrSEp7eyfyui/qoa6nLeZ1qorbM1tjzNYAmBjKcPzr5jg7qQU+rJQ5KPnuq8+x5nQwVvaqgxvTW2H2J1VhaKD/XT76HyFRMSeTydC6dWu0bt0aMpnmg90R0dvxs1WwJBIJevj0wNrWa+Fk5oTguGD0/LsnLry4kK/6/n38L1qUboFq9tVgbGCMwdUH56uek89OopJdJfi5+8FQZoghNYZAIpHkqy4iovzQl+uNvsRBRG8nk0rwU7eacLCQIyg8AZN33dR4aITQ2BScexiJae0rwVxuAGNDGWp72AAAtl9+hiHNvFHByQJSqQRVXK1gLjcozFMpEPofIVExJ5PJ0KBBA12HQVTs8LNVOKrbV8fWj7di0slJeBr/FD52Pvmq52XyS7WZYfI7S8yb9ZgYmMBabp2vuoiI8kNfrjf6EgcRvZu9hRxLutfE57+dh2cpM433exGbDDszOUyNsnflvIhNhruNaUGGqRXslCIiIqI8sTG2wdIWSxGZEgkLI4t81WFvYo9nCc9Uy1ljSWUxMTBBSkaKajkyJRKlLUrnWM/p56dVyymKFMSkxuQrJiIiIiJtqV/GDsfHN4eLtYnG+7hYmyAqMQ3JaRkwMZJl2/YsOqmgwyx0fH2PSMeEEIiJiUFMTAxntCIqQPxsFS6ZVAYHU4d87+/v4Y/DTw7jZsRNpChSsPL6SrXt5W3L45/gf5ChzMDZkLO4FHopx3qauDXB7cjbOPHsBNIz0rH82nL+vIlIq/TleqMvcRCR5vLSIQUAjpbGqF/GFjP33kZiqgIp6Rm48iQaANC5thtWHH+AoLB4CCFw83ksElL1f9IDdkoR6Vh6ejoWLVqERYsWIT09XdfhEBUb/Gzpt3I25TC+zniMPDoSrXa0Qg2HGmrbh9YYijtRd9BwU0PsCtqF5u7Nc6zH1tgW85vOx9zzc+G31Q/GMmM4mjpq4QyIiDLpy/VGX+IgosK16LMaiEtJR+N5R9Dw+yP493bmBC8dariil68nvlh3EVWmHcTk3TehyND/SQ/4+h6RHjA0NNR1CETFEj9b+uFg54MAgFqOtdTWdyrfCZ3Kd1Itzzw7U/W9h6UHtny8Jcf6OpbtiI5lO6qW/dz94Ofup1oeUmNIQYRNRKQxfbne6EscRFSwtgzyVX1vZy7H0h61cizXv7EX+jf20lZYBUIi+Gzne4uLi4OVlRViY2NhaWmp63CIiIiKpKrrquJQ50P5HvS8oPC6rn1scyIiouJF02s7X98jIiIiIiIiIiKt4+t7REREpBdu9Lmh6xCIiIiISIvYKUWkYwqFAvv27QMAtGnTBgYG/FgSFQR+toiISBv05XqjL3EQEeUFX98j0jGlUokrV67gypUrUCr1f3YEoqKCny0iItIGfbne6EscRER5wU4pIh2TyWT44IMP8MEHH0Amk+k6HKJig58torxr3749SpcuDWNjYzg7O6NXr14ICQl56z6hoaHo1asXnJycYGZmhlq1amHHjh1aiphI9/TleqMvcRAR5QVn3ysAnDGGiIio+CjJ1/X//e9/8PX1hbOzM54/f45x48YBAM6cOZPrPi1btkRMTAx+/vlnlCpVChs3bsS0adNw6dIl1KxZU6PjluQ2JyIiKo40vbazU6oAMJEiIiIqPnhdf2XPnj3o2LEjUlNTYWhomGMZc3NzLF++HL169VKts7Ozw7x58/Dll1/muE9qaipSU1NVy3FxcXB3d2ebExERFROa5lNF5vW9vD5OHhUVheHDh6NChQowMTFB6dKlMWLECMTGxqqVe/LkCdq2bQtTU1M4ODhg/PjxUCgUhX06RCpCCCQmJiIxMRHsIyYqOPxsEb2fqKgobNiwAQ0bNsy1QwoAGjZsiC1btiAqKgpKpRKbN29GSkoKmjVrlus+c+fOhZWVlerL3d29EM6ASDv05XqjL3EQEeVFkemUat68ObZu3YrAwEDs2LEDDx48QOfOnXMtHxISgpCQEPzwww+4efMm1q5diwMHDqB///6qMhkZGWjbti3S0tJw5swZrFu3DmvXrsXUqVO1cUpEAID09HQsWLAACxYsQHp6uq7DISo2+Nkiyp8JEybAzMwMdnZ2ePLkCf7888+3lt+6dSvS09NhZ2cHuVyOQYMGYdeuXShbtmyu+0yaNAmxsbGqr6dPnxb0aRBpjb5cb/QlDiKivCgy84SOHj1a9b2HhwcmTpyIjh07Ij09Pce7d1WqVFEbZNPb2xuzZ8/G559/DoVCAQMDA/zzzz+4ffs2/v33Xzg6OqJGjRqYNWsWJkyYgOnTp8PIyCjHWN585Dzr6au4uLiCOl0qQdLS0lS/T3Fxcbn+3hFR3vCzRfmVdT0vLk8aTJw4EfPmzXtrmTt37qBixYoAgPHjx6N///54/PgxZsyYgd69e2Pv3r2QSCQ57jtlyhTExMTg33//RalSpbB792507doVJ0+eRNWqVXPcRy6XQy6Xq5az2pq5FBVF+nK90Zc4iIgAzfOpIjmmVFRUFIYMGYLnz5/j1KlTGu/366+/YtKkSXj58iUAYOrUqdizZw8CAgJUZR49eoQyZcrgypUruQ7OOX36dMyYMeO9zoGIiIj029OnT+Hm5qbrMN7by5cvERkZ+dYyZcqUyfE/sM+ePYO7uzvOnDkDX1/fbNsfPHiAsmXL4ubNm6hcubJqvb+/P8qWLYsVK1ZoFGPWcYiIiKh4eVc+VWSelAIyHyf/+eefkZSUhAYNGmDv3r0a7xsREYFZs2Zh4MCBqnWhoaFwdHRUK5e1HBoammtdkyZNwpgxY1TLSqUSUVFRsLOzy/UuYkmSNVjp06dPOViplrHtdYdtrxtsd90pzm0vhEB8fDxcXFx0HUqBsLe3h729fb72VSqVAKD2hPjrkpKSAABSqfqIEDKZTLWvJlxcXPD06VNYWFiUiFyqOH9+3hfbJmdsl9yxbXLHtskd2yZ3BdU2muZTOu2UKuzHybPExcWhbdu2qFSpEqZPn/7ecb/5yDkAWFtbv3e9xY2lpSU/4DrCttcdtr1usN11p7i2vZWVla5D0Lrz58/j4sWLaNy4MWxsbPDgwQNMmTIF3t7eqqeknj9/jhYtWmD9+vWoV68eKlasiLJly2LQoEH44YcfYGdnh927d+PQoUN5unkolUqLxVNpeVVcPz8FgW2TM7ZL7tg2uWPb5I5tk7uCaBtN8imddkqNHTsWffv2fWuZMmXKqL4vVaoUSpUqhfLly8PHxwfu7u44d+5cjo+TZ4mPj0fr1q1hYWGBXbt2qY0/5eTkhAsXLqiVDwsLU20jIiIiKilMTU2xc+dOTJs2DYmJiXB2dkbr1q0xefJk1c249PR0BAYGqp6QMjQ0xL59+zBx4kS0a9cOCQkJKFu2LNatW4c2bdro8nSIiIioCNBpp1RhPk4OZD4h1apVK8jlcuzZswfGxsZq2319fTF79myEh4fDwcEBAHDo0CFYWlqiUqVK+YqLiIiIqCiqWrUqjhw58tYynp6e2QYsLVeunNrkMkRERESakr67iO6dP38eP//8MwICAvD48WMcOXIE3bt3z/Y4ecWKFVVPPsXFxaFly5ZITEzEb7/9hri4OISGhiI0NBQZGRkAgJYtW6JSpUro1asXrl27hoMHD2Ly5MkYOnRottfzSHNyuRzTpk1jG+oA21532Pa6wXbXHbY9Uf7x85M7tk3O2C65Y9vkjm2TO7ZN7rTdNkVi9r0bN25g5MiRuHbtWrbHyV1dXQEAwcHB8PLywtGjR9GsWTMcO3YMzZs3z7G+R48ewdPTEwDw+PFjDBkyBMeOHYOZmRn69OmD77//HgYGRWoMeCIiIiIiIiKiIqVIdEoREREREREREVHxUiRe3yMiIiIiIiIiouKFnVJERERERERERKR17JQiIiIiIiIiIiKtY6cUERERERERERFpHTulSCNz585F3bp1YWFhAQcHB3Ts2BGBgYFqZVJSUjB06FDY2dnB3NwcnTp1QlhYmFqZJ0+eoG3btjA1NYWDgwPGjx8PhUKhzVMp8r7//ntIJBKMGjVKtY5tX3ieP3+Ozz//HHZ2djAxMUHVqlVx6dIl1XYhBKZOnQpnZ2eYmJjA398fQUFBanVERUWhZ8+esLS0hLW1Nfr374+EhARtn0qRkZGRgSlTpsDLywsmJibw9vbGrFmz8Pq8HGz3gnHixAm0a9cOLi4ukEgk2L17t9r2gmrn69evo0mTJjA2Noa7uzvmz59f2KdGpHNLly6Fp6cnjI2NUb9+fVy4cOGt5WNiYjB06FA4OztDLpejfPny2Ldvn5ai1Z68tsuiRYtQoUIFmJiYwN3dHaNHj0ZKSoqWotWed/09zsmxY8dQq1YtyOVylC1bFmvXri30OHUhr22zc+dOfPjhh7C3t4elpSV8fX1x8OBB7QSrZfn5vcly+vRpGBgYoEaNGoUWn67kp11SU1Px7bffwsPDA3K5HJ6enli9enXhB6tl+WmbDRs2oHr16jA1NYWzszO++OILREZGFlhM7JQijRw/fhxDhw7FuXPncOjQIaSnp6Nly5ZITExUlRk9ejT++usvbNu2DcePH0dISAg+/fRT1faMjAy0bdsWaWlpOHPmDNatW4e1a9di6tSpujilIunixYtYuXIlqlWrpraebV84oqOj0ahRIxgaGmL//v24ffs2Fi5cCBsbG1WZ+fPnY/HixVixYgXOnz8PMzMztGrVSi1h7tmzJ27duoVDhw5h7969OHHiBAYOHKiLUyoS5s2bh+XLl+Pnn3/GnTt3MG/ePMyfPx9LlixRlWG7F4zExERUr14dS5cuzXF7QbRzXFwcWrZsCQ8PD1y+fBkLFizA9OnTsWrVqkI/PyJd2bJlC8aMGYNp06bhypUrqF69Olq1aoXw8PAcy6elpeHDDz9EcHAwtm/fjsDAQPzyyy9wdXXVcuSFK6/tsnHjRkycOBHTpk3DnTt38Ntvv2HLli345ptvtBx54XvX3+M3PXr0CG3btkXz5s0REBCAUaNG4csvvyyWnS95bZsTJ07gww8/xL59+3D58mU0b94c7dq1w9WrVws5Uu3La9tkiYmJQe/evdGiRYtCiky38tMuXbt2xeHDh/Hbb78hMDAQmzZtQoUKFQoxSt3Ia9ucPn0avXv3Rv/+/XHr1i1s27YNFy5cwIABAwouKEGUD+Hh4QKAOH78uBBCiJiYGGFoaCi2bdumKnPnzh0BQJw9e1YIIcS+ffuEVCoVoaGhqjLLly8XlpaWIjU1VbsnUATFx8eLcuXKiUOHDgk/Pz8xcuRIIQTbvjBNmDBBNG7cONftSqVSODk5iQULFqjWxcTECLlcLjZt2iSEEOL27dsCgLh48aKqzP79+4VEIhHPnz8vvOCLsLZt24ovvvhCbd2nn34qevbsKYRguxcWAGLXrl2q5YJq52XLlgkbGxu1vzUTJkwQFSpUKOQzItKdevXqiaFDh6qWMzIyhIuLi5g7d26O5ZcvXy7KlCkj0tLStBWiTuS1XYYOHSo++OADtXVjxowRjRo1KtQ4de3Nv8c5+frrr0XlypXV1n322WeiVatWhRiZ7mnSNjmpVKmSmDFjRsEHpEfy0jafffaZmDx5spg2bZqoXr16ocala5q0y/79+4WVlZWIjIzUTlB6QpO2WbBggShTpozausWLFwtXV9cCi4NPSlG+xMbGAgBsbW0BAJcvX0Z6ejr8/f1VZSpWrIjSpUvj7NmzAICzZ8+iatWqcHR0VJVp1aoV4uLicOvWLS1GXzQNHToUbdu2VWtjgG1fmPbs2YM6deqgS5cucHBwQM2aNfHLL7+otj969AihoaFqbW9lZYX69eurtb21tTXq1KmjKuPv7w+pVIrz589r72SKkIYNG+Lw4cO4d+8eAODatWs4deoUPvroIwBsd20pqHY+e/YsmjZtCiMjI1WZVq1aITAwENHR0Vo6GyLtSUtLw+XLl9U+O1KpFP7+/qrPzpv27NkDX19fDB06FI6OjqhSpQrmzJmDjIwMbYVd6PLTLg0bNsTly5dVr/g9fPgQ+/btQ5s2bbQSsz47e/ZstpywVatWubZlSaZUKhEfH6/6f0tJt2bNGjx8+BDTpk3TdSh6Iyvnnz9/PlxdXVG+fHmMGzcOycnJug5N53x9ffH06VPs27cPQgiEhYVh+/btBfp32KDAaqISQ6lUYtSoUWjUqBGqVKkCAAgNDYWRkRGsra3Vyjo6OiI0NFRV5vVOkaztWdsod5s3b8aVK1dw8eLFbNvY9oXn4cOHWL58OcaMGYNvvvkGFy9exIgRI2BkZIQ+ffqo2i6ntn297R0cHNS2GxgYwNbWlm2fi4kTJyIuLg4VK1aETCZDRkYGZs+ejZ49ewIA211LCqqdQ0ND4eXlla2OrG2vvw5LVBxEREQgIyMjx8/O3bt3c9zn4cOHOHLkCHr27Il9+/bh/v37+Oqrr5Cenl5s/uOYn3bp0aMHIiIi0LhxYwghoFAoMHjw4GL5+l5e5ZbbxcXFITk5GSYmJjqKTP/88MMPSEhIQNeuXXUdis4FBQVh4sSJOHnyJAwM2BWQ5eHDhzh16hSMjY2xa9cuRERE4KuvvkJkZCTWrFmj6/B0qlGjRtiwYQM+++wzpKSkQKFQoF27dnl+ZfRt+KQU5dnQoUNx8+ZNbN68WdehlAhPnz7FyJEjsWHDBhgbG+s6nBJFqVSiVq1amDNnDmrWrImBAwdiwIABWLFiha5DK9a2bt2KDRs2YOPGjbhy5QrWrVuHH374AevWrdN1aEREhUKpVMLBwQGrVq1C7dq18dlnn+Hbb78t8debY8eOYc6cOVi2bBmuXLmCnTt34u+//8asWbN0HRoVERs3bsSMGTOwdevWbDdRSpqMjAz06NEDM2bMQPny5XUdjl5RKpWQSCTYsGED6tWrhzZt2uDHH3/EunXrSvzTUrdv38bIkSMxdepUXL58GQcOHEBwcDAGDx5cYMdgpxTlybBhw7B3714cPXoUbm5uqvVOTk5IS0tDTEyMWvmwsDA4OTmpyrw5I1zWclYZyu7y5csIDw9HrVq1YGBgAAMDAxw/fhyLFy+GgYEBHB0d2faFxNnZGZUqVVJb5+PjgydPngB41XY5te3rbf/mAK4KhQJRUVFs+1yMHz8eEydORLdu3VC1alX06tULo0ePxty5cwGw3bWloNqZf3+opClVqhRkMtlbPztvcnZ2Rvny5SGTyVTrfHx8EBoairS0tEKNV1vy0y5TpkxBr1698OWXX6Jq1ar45JNPMGfOHMydOxdKpVIbYeut3P62Wlpa8imp/2zevBlffvkltm7dmu1Vx5IoPj4ely5dwrBhw1T/p5g5cyauXbsGAwMDHDlyRNch6oyzszNcXV1hZWWlWufj4wMhBJ49e6bDyHRv7ty5aNSoEcaPH49q1aqhVatWWLZsGVavXo0XL14UyDHYKUUaEUJg2LBh2LVrF44cOZLtVYzatWvD0NAQhw8fVq0LDAzEkydP4OvrCyDzfdQbN26o/Qfm0KFDsLS0zPYff3qlRYsWuHHjBgICAlRfderUQc+ePVXfs+0LR6NGjRAYGKi27t69e/Dw8AAAeHl5wcnJSa3t4+LicP78ebW2j4mJweXLl1Vljhw5AqVSifr162vhLIqepKQkSKXqlyeZTKb6DwjbXTsKqp19fX1x4sQJpKenq8ocOnQIFSpU4Kt7VCwZGRmhdu3aap8dpVKJw4cPqz47b2rUqBHu37+v1tFy7949ODs7q43HVpTlp11yux4AmblpSebr66vWlkDm39bc2rKk2bRpE/r164dNmzahbdu2ug5HL1haWmb7P8XgwYNRoUIFBAQElOj8qFGjRggJCUFCQoJq3b179yCVStUexCiJtPJ3uMCGTKdibciQIcLKykocO3ZMvHjxQvWVlJSkKjN48GBRunRpceTIEXHp0iXh6+srfH19VdsVCoWoUqWKaNmypQgICBAHDhwQ9vb2YtKkSbo4pSLt9dn3hGDbF5YLFy4IAwMDMXv2bBEUFCQ2bNggTE1NxR9//KEq8/333wtra2vx559/iuvXr4sOHToILy8vkZycrCrTunVrUbNmTXH+/Hlx6tQpUa5cOdG9e3ddnFKR0KdPH+Hq6ir27t0rHj16JHbu3ClKlSolvv76a1UZtnvBiI+PF1evXhVXr14VAMSPP/4orl69Kh4/fiyEKJh2jomJEY6OjqJXr17i5s2bYvPmzcLU1FSsXLlS6+dLpC2bN28WcrlcrF27Vty+fVsMHDhQWFtbq2bB7dWrl5g4caKq/JMnT4SFhYUYNmyYCAwMFHv37hUODg7iu+++09UpFIq8tsu0adOEhYWF2LRpk3j48KH4559/hLe3t+jatauuTqHQvOvv8cSJE0WvXr1U5R8+fChMTU3F+PHjxZ07d8TSpUuFTCYTBw4c0NUpFJq8ts2GDRuEgYGBWLp0qdr/W2JiYnR1CoUmr23zpuI6+15e2yU+Pl64ubmJzp07i1u3bonjx4+LcuXKiS+//FJXp1Bo8to2a9asEQYGBmLZsmXiwYMH4tSpU6JOnTqiXr16BRYTO6VIIwBy/FqzZo2qTHJysvjqq6+EjY2NMDU1FZ988ol48eKFWj3BwcHio48+EiYmJqJUqVJi7NixIj09XctnU/S92SnFti88f/31l6hSpYqQy+WiYsWKYtWqVWrblUqlmDJlinB0dBRyuVy0aNFCBAYGqpWJjIwU3bt3F+bm5sLS0lL069dPxMfHa/M0ipS4uDgxcuRIUbp0aWFsbCzKlCkjvv32W5Gamqoqw3YvGEePHs3xb3ufPn2EEAXXzteuXRONGzcWcrlcuLq6iu+//15bp0ikM0uWLBGlS5cWRkZGol69euLcuXOqbX5+fqrPWZYzZ86I+vXrC7lcLsqUKSNmz54tFAqFlqMufHlpl/T0dDF9+nTh7e0tjI2Nhbu7u/jqq69EdHS09gMvZO/6e9ynTx/h5+eXbZ8aNWoIIyMjUaZMGbW8vDjJa9v4+fm9tXxxkp/fm9cV106p/LTLnTt3hL+/vzAxMRFubm5izJgxag9gFBf5aZvFixeLSpUqCRMTE+Hs7Cx69uwpnj17VmAxSYQo4c++EhERERERERGR1nFMKSIiIiIiIiIi0jp2ShERERERERERkdaxU4qIiIiIiIiIiLSOnVJERERERERERKR17JQiIiIiIiIiIiKtY6cUERERERERERFpHTuliIiIiIiIiIhI69gpRURUxB07dgwSiQQSiQQdO3bM0759+/ZV7bt79+5CiY+IiIiIiCgn7JQiogKV1cGR29f06dN1HWKB8/T0xKJFi3QdBgIDA7F27VrVct++fbN1Um3fvh3GxsZYuHAhAOCnn37CixcvtBglERFRwdLVjZWsm0IxMTEFUl9wcDAkEgkCAgIKpD59kJ82atasGUaNGlUgx3+zrqSkJHTq1AmWlpaquHJaV5xk/V5JJBLUqFGjwOufPn26qn59yIep6GGnFBEVqBcvXqi+Fi1aBEtLS7V148aN03WIGhFCQKFQaPWYaWlp77W/g4MDrK2tc93+66+/omfPnli+fDnGjh0LALCysoKTk9N7HZeIiKiwhIaGYvjw4ShTpgzkcjnc3d3Rrl07HD58WNehoWHDhnjx4gWsrKy0dsxmzZqpOgCMjY1RqVIlLFu2TOP9p0+fXigdE1mxvdmZVBhttHbtWlUbyGQy2NjYoH79+pg5cyZiY2PVyu7cuROzZs1SLa9btw4nT57EmTNnVHHltK44+vfffzX+3ISFhcHQ0BCbN2/OcXv//v1Rq1YtAMC4cePw4sULuLm5FVisVLKwU4qICpSTk5Pqy8rKChKJRG3d5s2b4ePjA2NjY1SsWFEtkcq6k7N161Y0adIEJiYmqFu3Lu7du4eLFy+iTp06MDc3x0cffYSXL1+q9st6ImjGjBmwt7eHpaUlBg8erNbJo1QqMXfuXHh5ecHExATVq1fH9u3bVduz7uTt378ftWvXhlwux6lTp/DgwQN06NABjo6OMDc3R926dfHvv/+q9mvWrBkeP36M0aNHqxIkIOekb9GiRfD09MwW9+zZs+Hi4oIKFSoAAJ4+fYquXbvC2toatra26NChA4KDg9/r5zJ//nwMHz4cmzdvRr9+/d6rLiIiIm0IDg5G7dq1ceTIESxYsAA3btzAgQMH0Lx5cwwdOlTX4cHIyAhOTk6qa7+2DBgwAC9evMDt27fRtWtXDB06FJs2bdJqDJoqrDbKuun57NkznDlzBgMHDsT69etRo0YNhISEqMrZ2trCwsJCtfzgwQP4+PigSpUqqrhyWpdXGRkZUCqVBXJuhcXOzg52dnYalXV0dETbtm2xevXqbNsSExOxdetW9O/fHwBgbm4OJycnyGSyAo2XSg52ShGR1mzYsAFTp07F7NmzcefOHcyZMwdTpkzBunXr1MpNmzYNkydPxpUrV2BgYIAePXrg66+/xk8//YSTJ0/i/v37mDp1qto+hw8fxp07d3Ds2DFs2rQJO3fuxIwZM1Tb586di/Xr12PFihW4desWRo8ejc8//xzHjx9Xq2fixIn4/vvvcefOHVSrVg0JCQlo06YNDh8+jKtXr6J169Zo164dnjx5AiDzDpybmxtmzpypehosLw4fPozAwEAcOnQIe/fuRXp6Olq1agULCwucPHkSp0+fhrm5OVq3bp3vJ6kmTJiAWbNmYe/evfjkk0/yVQcREZG2ffXVV5BIJLhw4QI6deqE8uXLo3LlyhgzZgzOnTunVjYiIgKffPIJTE1NUa5cOezZs0dt+82bN/HRRx/B3Nwcjo6O6NWrFyIiIlTbmzVrhuHDh2PUqFGwsbGBo6MjfvnlFyQmJqJfv36wsLBA2bJlsX//ftU+Ob2advr0aTRr1gympqawsbFBq1atEB0dDQA4cOAAGjduDGtra9jZ2eHjjz/GgwcP8twupqamcHJyQpkyZTB9+nS1833y5Ak6dOgAc3NzWFpaomvXrggLCwOQ+YTRjBkzcO3aNdWNtKzX/mNiYvDll1+qbu598MEHuHbtmuqYWTfbfv/9d3h6esLKygrdunVDfHw8gMwbbcePH8dPP/2kqjs4ODhbG0VGRqJ79+5wdXWFqakpqlatmq8Otaybns7OzvDx8UH//v1x5swZJCQk4Ouvv1aVe/3prWbNmmHhwoU4ceIEJBIJmjVrluM6AEhNTcW4cePg6uoKMzMz1K9fH8eOHVPVu3btWlhbW2PPnj2oVKkS5HI5njx5ovF+Bw8ehI+PjyrHezN/XL16NSpXrgy5XA5nZ2cMGzZMte1dP6u8+PXXX3O9Wdy/f38cPnxYlfNm2bZtGxQKBXr27JmvYxJlI4iICsmaNWuElZWVatnb21ts3LhRrcysWbOEr6+vEEKIR48eCQDi119/VW3ftGmTACAOHz6sWjd37lxRoUIF1XKfPn2Era2tSExMVK1bvny5MDc3FxkZGSIlJUWYmpqKM2fOqB27f//+onv37kIIIY4ePSoAiN27d7/zvCpXriyWLFmiWvbw8BD/+9//1MpMmzZNVK9eXW3d//73P+Hh4aEWt6Ojo0hNTVWt+/3330WFChWEUqlUrUtNTRUmJibi4MGDOcaTFXt0dLTa+j59+ggjI6Ns7ZcTAGLXrl1vLUNERKQtkZGRQiKRiDlz5ryzLADh5uYmNm7cKIKCgsSIESOEubm5iIyMFEIIER0dLezt7cWkSZPEnTt3xJUrV8SHH34omjdvrqrDz89PWFhYiFmzZol79+6JWbNmCZlMJj766COxatUqce/ePTFkyBBhZ2enyjfevP5evXpVyOVyMWTIEBEQECBu3rwplixZIl6+fCmEEGL79u1ix44dIigoSFy9elW0a9dOVK1aVWRkZAghXuVBV69ezfVc/fz8xMiRI9XWVatWTXz66aciIyND1KhRQzRu3FhcunRJnDt3TtSuXVv4+fkJIYRISkoSY8eOFZUrVxYvXrwQL168EElJSUIIIfz9/UW7du3ExYsXxb1798TYsWOFnZ2dqg2nTZsmzM3Nxaeffipu3LghTpw4IZycnMQ333wjhBAiJiZG+Pr6igEDBqjqVigU2dro2bNnYsGCBeLq1aviwYMHYvHixUImk4nz58+/9Rxf92Z++bqRI0cKCwsLoVAostUVGRkpBgwYIHx9fcWLFy9EZGRkjuuEEOLLL78UDRs2FCdOnBD3798XCxYsEHK5XNy7d08Vg6GhoWjYsKE4ffq0uHv3rkhMTNR4P39/f3Hx4kVx+fJl4ePjI3r06KE6h2XLlgljY2OxaNEiERgYKC5cuKCWZ77rZ/Wm3H6v/vjjD+Hs7Cx27NghHj58KHbs2CFsbW3F2rVrhRBCKBQK4ezsLGbMmKG2X9OmTdXizZJTPkykCXZKEVGheT1pSEhIEACEiYmJMDMzU33J5XLh4OAghHh10bxw4YKqjiNHjggAIjw8XLVu9erVwsbGRrXcp08ftcRSCCECAgIEABEcHCxu3rwpAKgd18zMTBgaGop69eoJIV4lls+ePVOrJz4+XowdO1ZUrFhRWFlZCTMzMyGVSsX48eNVZd6nU8rf31+tzLhx44RMJssWq0QiEcuWLcuxnd/WKVWnTh3h6ekpGjduLOLj43PcXwh2ShERkX45f/68ACB27tz5zrIAxOTJk1XLWTnH/v37hRCZN8Batmypts/Tp08FABEYGCiEyOy8aNy4sWq7QqEQZmZmolevXqp1L168EADE2bNnhRDZr7/du3cXjRo10vgcX758KQCIGzduCCHy3imlUCjE77//LgCIn3/+Wfzzzz9CJpOJJ0+eqMrfunVLLbfKKT85efKksLS0FCkpKWrrvb29xcqVK1X7mZqairi4ONX28ePHi/r16+cYW5bccpTXtW3bVowdO/at9bzubZ1Sy5cvFwBEWFhYjnWNHDlS1UmX27rHjx8LmUwmnj9/rlauRYsWYtKkSaoYAIiAgIB87Xf//n3V9qVLlwpHR0fVsouLi/j2229zPD9NflZvyu336l03i4UQYuLEicLLy0t1s/T+/ftCIpGIf//9N9tx2ClF+WVQ2E9iEREBQEJCAgDgl19+Qf369dW2vfkOuqGhoer7rPf631yXl/f2s479999/w9XVVW2bXC5XWzYzM1NbHjduHA4dOoQffvgBZcuWhYmJCTp37vzOV+mkUimEEGrr0tPTs5V783gJCQmoXbs2NmzYkK2svb39W4+ZE1dXV2zfvh3NmzdH69atsX//frWxFYiIiPTRm9fQd6lWrZrqezMzM1haWiI8PBwAcO3aNRw9ehTm5ubZ9nvw4AHKly+frQ6ZTAY7OztUrVpVtc7R0REAVPW+KSAgAF26dMk1xqCgIEydOhXnz59HRESEKpd58uQJqlSpoumpYtmyZfj111+RlpYGmUyG0aNHY8iQIfj555/h7u4Od3d3VdlKlSrB2toad+7cQd26dXOs79q1a0hISMg23lBycrLa64Wenp5qOYSzs3OubZGbjIwMzJkzB1u3bsXz58+RlpaG1NRUmJqa5qme3GT93rzPGFY3btxARkaG6vciS2pqqlobGRkZqf3OaLqfqakpvL29Vcuvt2N4eDhCQkLQokWLHGPT9Gf1LomJiXjw4AH69++PAQMGqNYrFAq1gd6/+OILfP/99zh69Cg++OADrFmzBp6envjggw80PhbRu7BTioi0wtHRES4uLnj48GGhvIN+7do1JCcnw8TEBABw7tw5mJubw93dHba2tqp3/f38/PJU7+nTp9G3b1/VWEwJCQnZBh03MjJCRkaG2jp7e3uEhoZCCKFKjDSZ4rlWrVrYsmULHBwcYGlpmadYc+Ph4YHjx4+rOqYOHDjAjikiItJr5cqVg0Qiwd27dzUq//rNK0D9BlZCQgLatWuHefPmZdvP2dn5rXXkdKMstxtjWTlIbtq1awcPDw/88ssvcHFxgVKpRJUqVfI8ZmTPnj3x7bffwsTEBM7OzpBK32+Y4ISEBDg7O6uNfZTl9Vl939bGmlqwYAF++uknLFq0CFWrVoWZmRlGjRr13jMQZ7lz5w4sLS01HtA7JwkJCZDJZLh8+XK2G6evd2yamJiodX5pul9O7ZjVmfau3yFNf1bvounN4nLlyqFJkyZYs2YNmjVrhvXr12PAgAFaH9yfijd2ShGR1syYMQMjRoyAlZUVWrdujdTUVFy6dAnR0dEYM2bMe9WdlpaG/v37Y/LkyQgODsa0adMwbNgwSKVSWFhYYNy4cRg9ejSUSiUaN26M2NhYnD59GpaWlujTp0+u9ZYrVw47d+5Eu3btIJFIMGXKlGwJmKenJ06cOIFu3bpBLpejVKlSaNasGV6+fIn58+ejc+fOOHDgAPbv3//OjqaePXtiwYIF6NChA2bOnAk3Nzc8fvwYO3fuxNdff53v6Xbd3d1x7NgxNG/eHK1atcKBAwcKrNOLiIiooNna2qJVq1ZYunQpRowYke3J4piYGI3/E16rVi3s2LEDnp6eMDAovP/+VKtWDYcPH1abaCVLZGQkAgMD8csvv6BJkyYAgFOnTuXrOFZWVihbtmy29T4+Pnj69CmePn2qelrq9u3biImJQaVKlQDkfCOtVq1aCA0NhYGBgdoswXmVU91vOn36NDp06IDPP/8cQGYH371791TxvY/w8HBs3LgRHTt2fK+Oupo1ayIjIwPh4eGqn1Vh7vc6CwsLeHp64vDhw2jevHm27QX1s8rLzeL+/ftjyJAhaN++PZ4/f46+ffvm+7hEOeHse0SkNV9++SV+/fVXrFmzBlWrVoWfnx/Wrl0LLy+v9667RYsWKFeuHJo2bYrPPvsM7du3x/Tp01XbZ82ahSlTpmDu3Lnw8fFB69at8ffff7/z2D/++CNsbGzQsGFDtGvXDq1atUKtWrXUysycORPBwcHw9vZWvWLn4+ODZcuWYenSpahevTouXLiAcePGvfM8TE1NceLECZQuXRqffvqpakaZlJSU9+5EcnNzw7FjxxAREYFWrVohLi7uveojIiIqTEuXLkVGRgbq1auHHTt2ICgoCHfu3MHixYvh6+urcT1Dhw5FVFQUunfvjosXL+LBgwc4ePAg+vXr985OlLyYNGkSLl68iK+++grXr1/H3bt3sXz5ckRERMDGxgZ2dnZYtWoV7t+/jyNHjrz3Dbk3+fv7o2rVqujZsyeuXLmCCxcuoHfv3vDz80OdOnUAZN5Ie/ToEQICAhAREYHU1FT4+/vD19cXHTt2xD///IPg4GCcOXMG3377LS5duqTx8T09PXH+/HkEBwervZ74unLlyuHQoUM4c+YM7ty5g0GDBqlmB8wLIQRCQ0Px4sUL3LlzB6tXr0bDhg1hZWWF77//Ps/1va58+fLo2bMnevfujZ07d+LRo0e4cOEC5s6di7///rvA93vT9OnTsXDhQixevBhBQUG4cuUKlixZAgAF9rMCMm8Wz507F4sXL8a9e/dw48YNrFmzBj/++KNauS5dusDQ0BCDBg1Cy5Yt1V4PJSoQuhzQioioIPTp00d06NBB12HojCaDiL4LONA5ERHpoZCQEDF06FDh4eEhjIyMhKurq2jfvr04evSoqkxO1zArKyuxZs0a1fK9e/fEJ598IqytrYWJiYmoWLGiGDVqlGoA55wG185p4ObXj5XT9ffYsWOiYcOGQi6XC2tra9GqVSvV9kOHDgkfHx8hl8tFtWrVxLFjx9Tqy+/se697/PixaN++vTAzMxMWFhaiS5cuIjQ0VLU9JSVFdOrUSVhbWwsAqjaKi4sTw4cPFy4uLsLQ0FC4u7uLnj17qgZN12QCl8DAQNGgQQNhYmIiAIhHjx5la6PIyEjRoUMHYW5uLhwcHMTkyZNF79691fI4TQY6ByAACIlEIqysrES9evXEzJkzRWxs7FvbS5OBzoUQIi0tTUydOlV4enoKQ0ND4ezsLD755BNx/fp1VQw5Dbaen/127dol3vxv+YoVK0SFChVUdQwfPly17V0/qze97fdqw4YNokaNGsLIyEjY2NiIpk2b5ji5wMCBAwUAsXXr1hyPIQQHOqf8kwiRx1EEiYj0TN++fRETE4Pdu3frOhSdyHotz8zMDO3atcOmTZs03nfw4MH4448/kJiYiF27dqFjx46FFygRERERaVVwcDC8vLxw9epV1KhRo9CO4+npiVGjRmHUqFGFdgwqnjimFBFREVe/fn0EBQUBQI4zC73NzJkzVa8Vvj7YKxEREREVHw0bNkSNGjVw5syZAq13zpw5mDNnDpKSkgq0Xio5+KQUERERERERUTGkUChUM0fL5fICHxMqKioKUVFRADJnn7aysirQ+qn4Y6cUERERERERERFpHWffIyIiIiIiIiIirWOnFBERERERERERaR07pYiIiIiIiIiISOvYKUVERERERERERFrHTikiIiIiIiIiItI6dkoREREREREREZHWsVOKiIiIiIiIiIi0jp1SRERERERERESkdeyUIiIiIiIiIiIirWOnFBERERERERERaR07pYiIiIiIiIiISOvYKUVERERERERERFrHTikiIiIiIiIiItI6dkoREREREREREZHWsVOKiNR4enqib9++ug4jV56envj44491HUaBe7Pdjx07BolEgmPHjuksJiIiopJG3/MgfdKsWTNUqVJF12EUuGbNmqFZs2aq5eDgYEgkEqxdu1ZnMREVZ+yUIqICERISgunTpyMgIEDXoRARERFpFfMgIqL8MdB1AERUPISEhGDGjBnw9PREjRo1dB1Okde0aVMkJyfDyMhI16EQERHROzAPKr48PDyQnJwMQ0NDXYdCVCzxSSkiIj0klUphbGwMqVS7f6YVCgXS0tK0ekwiIiIifSWRSGBsbAyZTKbV4yqVSqSkpGj1mES6wE4pohJi+vTpkEgkuHv3Lrp27QpLS0vY2dlh5MiR77zgPXz4EF26dIGtrS1MTU3RoEED/P3336rtx44dQ926dQEA/fr1g0QiydO792vXroVEIsGJEycwaNAg2NnZwdLSEr1790Z0dHSO+5w6dQr16tWDsbExypQpg/Xr16ttj4qKwrhx41C1alWYm5vD0tISH330Ea5du5atriVLlqBy5cowNTWFjY0N6tSpg40bN6qVef78Ob744gs4OjpCLpejcuXKWL16tUbn9zohBL777ju4ubnB1NQUzZs3x61bt7KVy2lMqZMnT6JLly4oXbo05HI53N3dMXr0aCQnJ2fbf9u2bahUqRKMjY1RpUoV7Nq1C3379oWnp6eqTNYYCT/88AMWLVoEb29vyOVy3L59G2lpaZg6dSpq164NKysrmJmZoUmTJjh69KjacV6vY+nSpShTpgxMTU3RsmVLPH36FEIIzJo1C25ubjAxMUGHDh0QFRWV53YjIiJ6H0UhDzp16hRGjBgBe3t7WFtbY9CgQUhLS0NMTAx69+4NGxsb2NjY4Ouvv4YQQu34OY1DmZ+xkLLq2rJlC7755hs4OTnBzMwM7du3x9OnT3Pc5/bt22jevDlMTU3h6uqK+fPnq23XNKcAgM2bN6N27dqwsLCApaUlqlatip9++kmtTExMDEaNGgV3d3fI5XKULVsW8+bNg1Kp1Pg8s6xatQre3t4wMTFBvXr1cPLkyWxlcmrH69evo2/fvihTpgyMjY3h5OSEL774ApGRkdn2P3bsGOrUqQNjY2N4e3tj5cqVqt/H10kkEgwbNgwbNmxA5cqVIZfLceDAAQDADz/8gIYNG8LOzg4mJiaoXbs2tm/fnu1YWXVk5YEmJibw9fXFjRs3AAArV65E2bJlYWxsjGbNmiE4ODjPbUZU0Pj6HlEJ07VrV3h6emLu3Lk4d+4cFi9ejOjo6GydOlnCwsLQsGFDJCUlYcSIEbCzs8O6devQvn17bN++HZ988gl8fHwwc+ZMTJ06FQMHDkSTJk0AAA0bNsxTbMOGDYO1tTWmT5+OwMBALF++HI8fP1YlSFnu37+Pzp07o3///ujTpw9Wr16Nvn37onbt2qhcuTKAzARy9+7d6NKlC7y8vBAWFoaVK1fCz88Pt2/fhouLCwDgl19+wYgRI9C5c2dVYnr9+nWcP38ePXr0ULVBgwYNVBd6e3t77N+/H/3790dcXBxGjRql8TlOnToV3333Hdq0aYM2bdrgypUraNmypUZPJ23btg1JSUkYMmQI7OzscOHCBSxZsgTPnj3Dtm3bVOX+/vtvfPbZZ6hatSrmzp2L6Oho9O/fH66urjnWu2bNGqSkpGDgwIGQy+WwtbVFXFwcfv31V3Tv3h0DBgxAfHw8fvvtN7Rq1QoXLlzI9mrChg0bkJaWhuHDhyMqKgrz589H165d8cEHH+DYsWOYMGEC7t+/jyVLlmDcuHH56tAjIiJ6X/qcBw0fPhxOTk6YMWMGzp07h1WrVsHa2hpnzpxB6dKlMWfOHOzbtw8LFixAlSpV0Lt37/duj9zMnj0bEokEEyZMQHh4OBYtWgR/f38EBATAxMREVS46OhqtW7fGp59+iq5du2L79u2YMGECqlatio8++ggANM4pDh06hO7du6NFixaYN28eAODOnTs4ffo0Ro4cCQBISkqCn58fnj9/jkGDBqF06dI4c+YMJk2ahBcvXmDRokUan+Nvv/2GQYMGoWHDhhg1ahQePnyI9u3bw9bWFu7u7m/d99ChQ3j48CH69esHJycn3Lp1C6tWrcKtW7dw7tw5Vd569epVtG7dGs7OzpgxYwYyMjIwc+ZM2Nvb51jvkSNHsHXrVgwbNgylSpVS3Uz86aef0L59e/Ts2RNpaWnYvHkzunTpgr1796Jt27ZqdZw8eRJ79uzB0KFDAQBz587Fxx9/jK+//hrLli3DV199hejoaMyfPx9ffPEFjhw5onGbERUKQUQlwrRp0wQA0b59e7X1X331lQAgrl27JoQQwsPDQ/Tp00e1fdSoUQKAOHnypGpdfHy88PLyEp6eniIjI0MIIcTFixcFALFmzZo8x7ZmzRoBQNSuXVukpaWp1s+fP18AEH/++adqnYeHhwAgTpw4oVoXHh4u5HK5GDt2rGpdSkqKKrYsjx49EnK5XMycOVO1rkOHDqJy5cpvja9///7C2dlZREREqK3v1q2bsLKyEklJSRqdZ3h4uDAyMhJt27YVSqVStf6bb74RANTa/ejRowKAOHr0qGpdTseZO3eukEgk4vHjx6p1VatWFW5ubiI+Pl617tixYwKA8PDwUK179OiRACAsLS1FeHi4Wr0KhUKkpqaqrYuOjhaOjo7iiy++yFaHvb29iImJUa2fNGmSACCqV68u0tPTVeu7d+8ujIyMREpKyltaioiIqGAVhTyoVatWavmBr6+vkEgkYvDgwap1CoVCuLm5CT8/P9W6nHIGIV5do/MSU1Zdrq6uIi4uTrV+69atAoD46aefVOv8/PwEALF+/XrVutTUVOHk5CQ6deqkFrMmOcXIkSOFpaWlUCgUucY3a9YsYWZmJu7du6e2fuLEiUImk4knT55odJ5paWnCwcFB1KhRQy22VatWCQBq7ZtTO+aUk23atClbjtquXTthamoqnj9/rloXFBQkDAwMxJv/FQcgpFKpuHXrVra63zxeWlqaqFKlivjggw+y1SGXy8WjR49U61auXCkACCcnJ7WfaVau9npZIl3g63tEJUzWXZMsw4cPBwDs27cvx/L79u1DvXr10LhxY9U6c3NzDBw4EMHBwbh9+3aBxTZw4EC1QSSHDBkCAwODbLFVqlRJdRcSAOzt7VGhQgU8fPhQtU4ul6vGY8rIyEBkZCTMzc1RoUIFXLlyRVXO2toaz549w8WLF3OMSQiBHTt2oF27dhBCICIiQvXVqlUrxMbGqtX3Nv/++6/qaaLXn/zS9Emr1+9MJiYmIiIiAg0bNoQQAlevXgWQOdDqjRs30Lt3b5ibm6vK+/n5oWrVqjnW26lTp2x37GQymWqQdaVSiaioKCgUCtSpUyfH8+3SpQusrKxUy/Xr1wcAfP755zAwMFBbn5aWhufPn2t0zkRERAVJn/Og/v37q+UH9evXhxAC/fv3V62TyWSoU6eOWs5TGHr37g0LCwvVcufOneHs7JytnczNzfH555+rlo2MjFCvXj21+DTNKaytrZGYmIhDhw7lGte2bdvQpEkT2NjYqOVk/v7+yMjIwIkTJzQ6v0uXLiE8PByDBw9Wm1Smb9++avlMbl7PyVJSUhAREYEGDRoAgOqcMjIy8O+//6Jjx46qJ/QBoGzZsqqnyN7k5+eHSpUqvfV40dHRiI2NRZMmTXLMyVq0aKE2XENWTtapUye1n2nW+sL+XSJ6F3ZKEZUw5cqVU1v29vaGVCrN9Z3yx48fo0KFCtnW+/j4qLYXVmzm5uZwdnbOFlvp0qWz7WtjY6M2/pRSqcT//vc/lCtXDnK5HKVKlYK9vT2uX7+O2NhYVbkJEybA3Nwc9erVQ7ly5TB06FCcPn1atf3ly5eIiYnBqlWrYG9vr/bVr18/AEB4eLhG55fVVm+ep729PWxsbN65/5MnT9C3b1/Y2trC3Nwc9vb28PPzAwDVOWUdo2zZstn2z2kdAHh5eeW4ft26dahWrRqMjY1hZ2cHe3t7/P3332rtl+XNn0lWQvfm4+9Z63MbK4yIiKgw6XMelJdraWFfR99sJ4lEgrJly2ZrJzc3t2xjI72ZkwGa5RRfffUVypcvj48++ghubm744osvVGMqZQkKCsKBAwey5WT+/v4A3j8nMzQ0RJkyZd65f1RUFEaOHAlHR0eYmJjA3t5elU9lnVN4eDiSk5MLJCfbu3cvGjRoAGNjY9ja2sLe3h7Lly9nTkbFAseUIirh3kwkioLcZj8Rrw36OWfOHEyZMgVffPEFZs2aBVtbW0ilUowaNUptIEwfHx8EBgZi7969OHDgAHbs2IFly5Zh6tSpmDFjhqrs559/jj59+uR43GrVqhXg2eUsIyMDH374IaKiojBhwgRUrFgRZmZmeP78Ofr27ZuvwT2zvH73Lcsff/yBvn37omPHjhg/fjwcHBwgk8kwd+5cPHjwIFv53H4mmvysiIiIdEWf8qC8XEtfv47mdg4ZGRkFE9hbaHKd1zSncHBwQEBAAA4ePIj9+/dj//79WLNmDXr37o1169YByLzp+OGHH+Lrr7/O8bjly5cvwLPLXdeuXXHmzBmMHz8eNWrUgLm5OZRKJVq3bl3gOdnJkyfRvn17NG3aFMuWLYOzszMMDQ2xZs2abBPzAMzJqOhhpxRRCRMUFKR2F+b+/ftQKpVqj/m+zsPDA4GBgdnW3717V7UdKJikLigoCM2bN1ctJyQk4MWLF2jTpk2e69q+fTuaN2+O3377TW19TEwMSpUqpbbOzMwMn332GT777DOkpaXh008/xezZszFp0iTY29vDwsICGRkZqrtw+ZXVVkFBQWp34V6+fPnOu1Q3btzAvXv3sG7dOrWBTd98xD3rGPfv389WR07rcrN9+3aUKVMGO3fuVPvZTps2TeM6iIiI9I0+50H5lfW0dUxMjNr693mKKygoSG1ZCIH79+/n60ZcXnIKIyMjtGvXDu3atYNSqcRXX32FlStXYsqUKShbtiy8vb2RkJBQoDnZBx98oFqfnp6OR48eoXr16rnuGx0djcOHD2PGjBmYOnWqav2bbebg4ABjY+P3zsl27NgBY2NjHDx4EHK5XLV+zZo1GtdBpM/4+h5RCbN06VK15SVLlgBAru+2t2nTBhcuXMDZs2dV6xITE7Fq1Sp4enqq3ns3MzMDkD0hyotVq1YhPT1dtbx8+XIoFIpcY3sbmUyW7c7Ptm3bso1l9ObUvUZGRqhUqRKEEEhPT4dMJkOnTp2wY8cO3Lx5M9txXr58qXFM/v7+MDQ0xJIlS9Ri02SmmKy7W6/vJ4TINk2yi4sLqlSpgvXr1yMhIUG1/vjx46rpgDWR0/HOnz+v9ntARERU1OhzHpRfHh4ekMlk2cZTWrZsWb7rXL9+PeLj41XL27dvx4sXL/KdkwHvzinezMmkUqmqEyw1NRVA5hNKZ8+excGDB7MdJyYmBgqFQqOY6tSpA3t7e6xYsUJtBuS1a9e+82eY0/kA2fM5mUwGf39/7N69GyEhIar19+/fx/79+zWKM6seiUSi9uRbcHAwdu/erXEdRPqMT0oRlTCPHj1C+/bt0bp1a5w9exZ//PEHevTokesdoYkTJ2LTpk346KOPMGLECNja2mLdunV49OgRduzYoRpM3NvbG9bW1lixYgUsLCxgZmaG+vXr5/pufE7S0tLQokULdO3aFYGBgVi2bBkaN26M9u3b5/k8P/74Y8ycORP9+vVDw4YNcePGDWzYsCHbOAEtW7aEk5MTGjVqBEdHR9y5cwc///wz2rZtqxoM8vvvv8fRo0dRv359DBgwAJUqVUJUVBSuXLmCf//9F1FRURrFZG9vj3Hjxqmm5m3Tpg2uXr2K/fv3Z3t6600VK1aEt7c3xo0bh+fPn8PS0hI7duzI8QmrOXPmoEOHDmjUqBH69euH6Oho/Pzzz6hSpYpaR9W72m/nzp345JNP0LZtWzx69AgrVqxApUqVNK6DiIhI3+hzHpRfVlZW6NKlC5YsWQKJRAJvb2/s3btX4/GVcmJra4vGjRujX79+CAsLw6JFi1C2bFkMGDAgz3VpmlN8+eWXiIqKwgcffAA3Nzc8fvwYS5YsQY0aNVRjeI0fPx579uzBxx9/jL59+6J27dpITEzEjRs3sH37dgQHB78zpwIyx4767rvvMGjQIHzwwQf47LPP8OjRI6xZs+adY0pZWlqiadOmmD9/PtLT0+Hq6op//vkHjx49ylZ2+vTp+Oeff9CoUSMMGTIEGRkZqpwsICBAo/Zr27YtfvzxR7Ru3Ro9evRAeHg4li5dirJly+L69esa1UGk17Q93R8R6UbWVMi3b98WnTt3FhYWFsLGxkYMGzZMJCcnq8q9ORWyEEI8ePBAdO7cWVhbWwtjY2NRr149sXfv3mzH+PPPP0WlSpVU09xqOgVx1lTIx48fFwMHDhQ2NjbC3Nxc9OzZU0RGRqqV9fDwEG3bts1Wh5+fn9r0vSkpKWLs2LHC2dlZmJiYiEaNGomzZ89mK7dy5UrRtGlTYWdnJ+RyufD29hbjx48XsbGxavWHhYWJoUOHCnd3d2FoaCicnJxEixYtxKpVqzQ6xywZGRlixowZqriaNWsmbt68ma3dc5re+fbt28Lf31+Ym5uLUqVKiQEDBohr167l2NabN28WFStWFHK5XFSpUkXs2bNHdOrUSVSsWFFVJmuK4wULFmSLU6lUijlz5ggPDw8hl8tFzZo1xd69e0WfPn2Eh4fHO+vIin/btm1q67N+1hcvXsxTuxEREb2PopAHvXltzIr55cuXauv79OkjzMzM1Na9fPlSdOrUSZiamgobGxsxaNAgcfPmzTzFIcSr6/emTZvEpEmThIODgzAxMRFt27YVjx8/Vivr5+cnKleunK2ON3MFTXOK7du3i5YtWwoHBwdhZGQkSpcuLQYNGiRevHihVn98fLyYNGmSKFu2rDAyMhKlSpUSDRs2FD/88INIS0vT+FyFEGLZsmXCy8tLyOVyUadOHXHixIlsuWJWrvN6Oz579kx88sknwtraWlhZWYkuXbqIkJAQAUBMmzZN7RiHDx8WNWvWFEZGRsLb21v8+uuvYuzYscLY2FitHAAxdOjQHOP87bffRLly5YRcLhcVK1YUa9asUf1+vKuOvOZqRNomEYIjmxGVBNOnT8eMGTPw8uVLje4gadPatWvRr18/XLx4EXXq1NF1OMVWjRo1YG9v/9aplomIiIojfc6D9MmxY8fQvHlzbNu2DZ07d9Z1OMVWx44dcevWrWzjUBGVRBxTioiomElPT882psKxY8dw7do1NGvWTDdBEREREZVAycnJastBQUHYt28fczKi/3BMKSIqNMnJyYiNjX1rGVtbWy1FU7hevnz51qmXjYyMtHauz58/h7+/Pz7//HO4uLjg7t27WLFiBZycnDB48GCtxEBERFTSaZoHGRkZFXosaWlp7xwD08rKqtDj0IaoqCi1wcvfJJPJYG9vr7V4ypQpg759+6JMmTJ4/Pgxli9fDiMjI3z99ddai4FIn+ntk1InTpxAu3bt4OLiAolEkm12ASEEpk6dCmdnZ5iYmMDf3z/b449RUVHo2bMnLC0tYW1tjf79+2cboPf69eto0qQJjI2N4e7ujvnz5xf2qRGVGFu2bIGzs/Nbv86cOaPrMAtE3bp133qen376qdZisbGxQe3atfHrr79i+PDhWLt2Ldq2bYtTp07Bzs5Oa3EQke4xnyLSHX3Kg86cOfPOWLZs2aKVWArbp59++tbzrFu3rlbjad26NTZt2oThw4djyZIlqFu3Lk6cOIFy5cppNQ4ifaW3Y0rt378fp0+fRu3atfHpp59i165d6Nixo2r7vHnzMHfuXKxbtw5eXl6YMmUKbty4gdu3b8PY2BhA5tSuL168wMqVK5Geno5+/fqhbt262LhxIwAgLi4O5cuXh7+/PyZNmoQbN27giy++wKJFizBw4EBdnDZRsfLixQvcunXrrWVq164NGxsbLUVUeE6fPp3t8ezXZXUUERFpE/MpIt3RpzwoOjoaly9ffmuZypUrw9nZudBjKWyXL1/OcXbiLCYmJmjUqJEWIyKit9HbTqnXSSQStSRKCAEXFxeMHTsW48aNAwDExsbC0dERa9euRbdu3XDnzh1UqlRJbeDkAwcOoE2bNnj27BlcXFywfPlyfPvttwgNDVU9Njtx4kTs3r0bd+/e1cm5EhERERUG5lNERESkb4rkmFKPHj1CaGgo/P39VeusrKxQv359nD17Ft26dcPZs2dhbW2tNpOXv78/pFIpzp8/j08++QRnz55F06ZN1d7jbtWqFebNm4fo6Ohc71qkpqYiNTVVtaxUKhEVFQU7OztIJJJCOGMiIiLSFiEE4uPj4eLiAqlUb0c6eG+6zKeYSxERERVvmuZTRbJTKjQ0FADg6Oiott7R0VG1LTQ0FA4ODmrbDQwMYGtrq1bGy8srWx1Z23LrlJo7dy5mzJjx/idCREREeuvp06dwc3PTdRiFRpf5FHMpIiKikuFd+VSR7JTStUmTJmHMmDGq5djYWJQuXRpTLv0PxuYmOoyMiIiI3ldKQjJm1RkNCwsLXYdSbDGXIiIiKt40zaeKZKeUk5MTACAsLExtML6wsDDUqFFDVSY8PFxtP4VCgaioKNX+Tk5OCAsLUyuTtZxVJidyuRxyuTzbemNzExhbMJEiIiIqDor7a2S6zKeYSxEREZUM78qniuRACV5eXnBycsLhw4dV6+Li4nD+/Hn4+voCAHx9fRETE6M2y8SRI0egVCpRv359VZkTJ04gPT1dVebQoUOoUKFCsZgNjIiIiCg3zKeIiIhI1/S2UyohIQEBAQEICAgAkDkYZ0BAAJ48eQKJRIJRo0bhu+++w549e3Djxg307t0bLi4uqhllfHx80Lp1awwYMAAXLlzA6dOnMWzYMHTr1g0uLi4AgB49esDIyAj9+/fHrVu3sGXLFvz0009qj5MTERERFVXMp4iIiEif6e3re5cuXULz5s1Vy1mJTZ8+fbB27Vp8/fXXSExMxMCBAxETE4PGjRvjwIEDMDY2Vu2zYcMGDBs2DC1atIBUKkWnTp2wePFi1XYrKyv8888/GDp0KGrXro1SpUph6tSpGDhwoPZOlIiIiKiQMJ8iIiIifSYRQghdB1HUxcXFwcrKCrPvruA4CERUIsiUUhgp9fa+BtE7pUkVyJAqc9yWEp+MbysORmxsLCwtLbUcWcnEXIqISiLmU1SUvS2XAjTPp/gJICIizQmgdEIpuKTZQQopivk40FRMCQEooUSIUSSemEcA/D0mIiJtYj5FRVxB5lLslCIiIo2VTigFj3RH2DnYwdDECPzfPBVNAunJaTB8aQAkAE8sInQdEBERlSDMp6joK7hcip1SRESkEZlSCpc0O9g52MHUxlzX4RC9F0NjIwBAergCz5VRb338nIiIqKAwn6LioqByKb2dfY+IiPSLkdIAUkj/u6NHVPQZmhhBCo7nQURE2sN8ioqTgsil2ClFREQayxzzgI+YU3Eh4TgeRESkdcynqPh4/1yKnVJERERERERERKR1fF6diIje27MnzxAVGam149na2cGttJvG5YUQGP/VWPy96y/ERMfg0IUjqFK9aiFGWLj0vb0//bADKlerglkLZ6Nu+VoYMGwgBo4YXGDxbFm/CVPHTUZg+INcy/wwaz4O7NmHfy8eK7DjEhERFSZtXt/zem0Hilc+pe+5FFBy8il2ShER0Xt59uQZmlZvhOSkJK0d08TUFCeundb44n7k4GFs/X0zdhzaDQ8vD9iWsivkCAvPsyfP0KR6Q6QkJWvtmMamJjh57UyekykA2H/6H5iamRZoPO27dESL1v4FWicREZEuaTufymsuBRSffKqo5VJA8c6n2ClFRETvJSoyEslJSRg04ze4eFYo9OOFBAdi5bT+iIqM1PjC/vhhMBycHVHXt14hR1f4oiIjkZKUjB5LBsGxnEuhHy8sKAQbh6/MU3u/rpR9qQKPycTEBCYmJgVeLxERka5oM5/KTy4FFJ98qqjlUkDxzqfYKUVERAXCxbMCPCvW0HUY2Yz8chi2/r4FAOAst4ebhzvO372E5T8uxR+/rUfIsxCUcrRHry97Y9TEMQCAkGchmDVpOo4dOorU1DSUq1gOc3+ah1r1auvyVNQ4lnOBW1VPXYfxTm8+bv4w6AHGDB6FgItXUdrLA7MWzka3tl2weus6fNShDc4cP41OLTvibth9WFlbAQBuXruBD+t9gAuBl+HuWTrHx82XLPgJqxavRHJSEtp37gC7Inr3loiISjbmU9pTVHIpoHjnU+yUIiKiYm3WwjnwKOOFDb+tx/7T/0Aqk2HO5O+wYfXvmLFgFuo1rI+w0DDcDwwCACQmJOBT/w5wcnXC2h2/w8HRATcCrkOpVOr4TIo+pVKJ/p/1g72DPf4+dQBxsXGYOm7ye9e7Z/tuLJy1AHN++h71GjbA9o1b8dvSX+Dh5VEAURMRERHzKf1R3PIpdkoREVGxZmllCXNzM0hlMjg4OSIhPgG//rwKsxfNRdde3QAAnt5eqN+oAQBg5+adiIyIwP4z/8DG1gYA4FW2jM7iL05OHD6O+4FB2LR3K5xcnAAAk2Z+i57tu71Xvb8sWYXufXugR7/PAQATZ3yDk0dOIDUl5b1jJiIiIuZT+qS45VPSQq2diIhIzwTdvYfU1FQ0ad40x+23rt1ElRpVVQkUFZygu/fg4uaqSqAAoE6DugVSb803XgWoXb/Oe9dLREREOWM+pTvFLZ9ipxQREZUoxibG77WdCpdEKgGQOe10FkW6QlfhEBERUQ6YT+m3opRPsVOKiIhKFK+yZWBsYoKTR0/kuL1S1Uq4de0moqOitRxZ8VeuYnmEPHuOsBehqnWXz19SK2NXKnN2mbDQMNW6m9duvrPeqxcuq6278sYyERERFRzmU7pT3PIpjilFREQFIiQ4sEgcx9jYGMPGDcd338yEoZER6vnWQ2REJAJv30WPfp+j42efYvG8RejXpTe+mTUZjk6OuHHtBpycnQrk0eiCEhYUUuSO07SFH8qU88aI/sMx9ftpiI+Lx/fT5qiV8SrrBRd3VyycNR8TZ3yDh0EPsGLRsrfW++WwARj15QhUr10DdX3rY+fm7Qi8fZcDnRMRUZGjjXyqII5RHPKpophLAcUvn2KnFBERvRdbOzuYmJpi5bT+WjumiakpbO3yP0Xt6G/GQmYgw4KZ8xAWEgoHZ0f0HtAHAGBkZIRNf2/DjAlT8XmH7lAoMlDepzzm/jSvoMJ/L7Z2djA2NcHG4Su1dkxjU5P3au8sUqkUq7euw5jBI9GmUSu4e7hj1o9z0KPdZ6oyhoaGWL5+JSYO/xot6jRD9To1MHHGJAzonvvvV4cunyD4YTBmfTMTqSkpaPvJx+gzsB+OHTry3jETERFpg7bzqffNpYCim08V5VwKKH75lES8/pIh5UtcXBysrKww++4KGFuY6DocIqJCYaIwQq04b7iUdoOhsaHatmdPniEqMlJrsdja2cGttJvWjqdvilt7O8vtsXrrOnzUoU2hHSMn6SnpCHnyDFcsHyDZIE21PiU+Gd9WHIzY2FhYWlpqNaaSirkUEZUU+pJPMZcqXrkUoJt8KrdcCtA8n+KTUkRE9N7cSruV6MRG29jeRERExQ+v79rDttYfHOiciIiIiIiIiIi0jk9KERERkU69SH2p6xCIiIiIirSimk/xSSkiIiIiIiIiItI6dkoREREREREREZHWsVOKiIiIiIiIiIi0jp1SRERERERERERUYIQQGpVjpxQRERERERERERUYRUq6RuXYKUVERERERERERAUmJSFZo3IGhRwHERGVAM+ePENUZKTWjmdrZwe30m4al//0ww6oXK0KZi2cXYhREREREeWfNvOpvOZSAPMpypvUhBSNyrFTioiI3suzJ8/gV80XScmaXXgKgqmJMY5fP5vnZIqIiIhIH2k7n2IuRYUtmU9KERGRNkRFRiIpOQV/jO0EH3f7Qj/enacv8fnCHYiKjGQiRURERMWCNvMp5lKkDanx7JQiIiIt8nG3R62yLroOI1dCqcSsSTOwcc0fMDQyRO8BfTFuytcAgNiYWHz3zUwc+Gs/4mPj4OnthW+/m4IP27bElvWbMHXcZCz6ZQlmTZqOkGchaNDEFwtXLIKru6uOz4qIiIiKE+ZTVFykaPj6Hgc6JyKiEmHrH1tgamaKv08ewOQ50/Dj7B9w/N9jUCqV6Nm+Gy6evYCf1yzD8YBT+Pa7KZDKXl0ik5OS8dO8/2Hx6qX489jfiIuNw5BeA3R4NkRERETax3yKNJXK1/eIiIhe8alaCWMnjwcAlCnnjTXLf8OpoycghMDVi1dw4toZeJf3BgB4lPFU2zc9PR1zFn2PWvVqAwB++vVnNK3eEFcvXkHNurW0eh5EREREusJ8ijSVEs8npYiIiFQqVamktuzo5IiIlxG4de0mnN1cVAlUTgwMDFCjTk3VcrmK5WBlbYWgu/cKLV4iIiIifcN8ijSVpuGTUkW6Uyo+Ph6jRo2Ch4cHTExM0LBhQ1y8eFG1XQiBqVOnwtnZGSYmJvD390dQUJBaHVFRUejZsycsLS1hbW2N/v37IyEhQdunQkREhczA0FB9hUQCpVIJYxNj3QREpCeYTxERkaaYT5GmNJ19r0h3Sn355Zc4dOgQfv/9d9y4cQMtW7aEv78/nj9/DgCYP38+Fi9ejBUrVuD8+fMwMzNDq1atkJLy6jGynj174tatWzh06BD27t2LEydOYODAgbo6JSIi0jKfqpXw4lkIHtx7kGsZhUKBa5cDVMv3A+8jNiYW5SqW10KERIWL+RQREb0v5lP0ptTEYj6mVHJyMnbs2IE///wTTZs2BQBMnz4df/31F5YvX45Zs2Zh0aJFmDx5Mjp06AAAWL9+PRwdHbF7925069YNd+7cwYEDB3Dx4kXUqVMHALBkyRK0adMGP/zwA1xc9HfWAyIifXPn6csieZyGTRuhQRNffNmtH6bPnwkvby8EBQZBIpHgg1YtAACGhob4dvQkfPfjHMgMDPDtqImoXb8Oxz+gIo/5FBGRftFGPlUYx2A+RW9KidNsTKki2ymlUCiQkZEBY2P1xwRNTExw6tQpPHr0CKGhofD391dts7KyQv369XH27Fl069YNZ8+ehbW1tSqBAgB/f39IpVKcP38en3zySY7HTk1NRWpqqmo5Li6ugM+OiKjosLWzg6mJMT5fuENrxzQ1MYatnV2B1ffr5jWYOXEahvQehOTEpP+mMJ6s2m5iaoKh44bjq96DERryAvUbNcDClYsK7PhEuqKrfIq5FBGROm3nUwWdSwHMp0hdamIx75SysLCAr68vZs2aBR8fHzg6OmLTpk04e/YsypYti9DQUACAo6Oj2n6Ojo6qbaGhoXBwcFDbbmBgAFtbW1WZnMydOxczZswo4DMiIiqa3Eq74fj1s4iKjNTaMW3t7OBW2k3j8jsP/Zlt3drt61Xf29ja4H+rFr+1jrYdP0bbjh9rHiRREaCrfIq5FBGROm3nU3nNpQDmU5Q3afHF/PU9APj999/xxRdfwNXVFTKZDLVq1UL37t1x+fLlQj3upEmTMGbMGNVyXFwc3N3dC/WYRET6zK20W54TGyLSD7rIp5hLERFlx3yKipPUhNR3F0IRH+jc29sbx48fR0JCAp4+fYoLFy4gPT0dZcqUgZOTEwAgLCxMbZ+wsDDVNicnJ4SHh6ttVygUiIqKUpXJiVwuh6WlpdoXERERUVGki3yKuRQREVHxlloSZt/LYmZmBmdnZ0RHR+PgwYPo0KEDvLy84OTkhMOHD6vKxcXF4fz58/D19QUA+Pr6IiYmRu1O4JEjR6BUKlG/fn2tnwcREemfz3p3R2B47jPJEBUXzKeIiKiwMJ8qeZI17JQq0q/vHTx4EEIIVKhQAffv38f48eNRsWJF9OvXDxKJBKNGjcJ3332HcuXKwcvLC1OmTIGLiws6duwIAPDx8UHr1q0xYMAArFixAunp6Rg2bBi6devGmWKIiIioRGA+RURERAVJqVQipSR0SsXGxmLSpEl49uwZbG1t0alTJ8yePRuGhoYAgK+//hqJiYkYOHAgYmJi0LhxYxw4cEBthpkNGzZg2LBhaNGiBaRSKTp16oTFi98+OBsRUUklBAAIXYdBVEDEf7/TJRvzKSIi7WI+RcVHzrlUWqJm40kBgEQIpmPvKy4uDlZWVph9dwWMLUx0HQ4RUaGQKaWoG10OTg6OMLUx13U4RO8tKToBoeFhuGgThAypUrU+JT4Z31YcjNjYWI51pCXMpYiopGA+RcVJbrlU9PNIfFcvc0KTd+VTRfpJKSIi0p4MqRIhRpEwfJl56TA0MQIg0W1QRPkikJ6chsiXkQgxilRLooiIiAoT8ykqHt6eS2k6yDnATikiIsqDJ+YRQAKQHq6AFFJImENRESQEoETmfwqemEeobUtNTEHQ6ds6ioyIiEoC5lP03kTWC6BC7U1Q1auhauvEG/u98bKcUF9469ul4lWpDGUGbkcE4VL4DQilMvPYIvN1vsdX7mt8KuyUIiIizUmAJxYReK6MgpGSlxAqekSGQFxELEJDQvHyaSiin0Ui5nkkop6+RMTjcEQ9eQmh5MgGRERUiJhP6QWhFFCkpSM9JR2K1HRkpCqQnpquWpeRpoBCoYAyPQMZ6QpkKDKQkfba96+tV6ZnQKEqo4BSoURGugKKdAWUaRnIyMiAMkNAZGRAmaGEUpn1vYBSqXz1vRAQGUoIpTKzvPK/75UCQvlfWaVS50OSCSEQERGBpKSk966LnwAiIsqzDKkSydI0XYdBlE16ShpiQqIQ/SwS0c8jMv99lvlv1NOXiA2NhjLj1SPmBkaGMLO0gZWtEzw86qFpyxrwqe2HOYM+1OFZEBFRScB8SnNKpRJpSalIiUtGSnwSkv/7NyU+GSnxyUhLTEVqUgpSE1ORlpiC1MSUzPIJKUiNT0ZqQgrSklORlpIGRUpmx1NGekae45BIJIBUAqlEAolUColEkvkllUIiyfySSqWQSGWQSmSQyv77ksoyt8lkkEilkKq+l0EqlUIqlUEqM8j8XiaD1NAABvLMfWUyg/+2Z5aRGRhkrpPJIJMZZv5rYACpzAAGBkavfW+oKiszMITMwOi/soaQSTOPLZFKIMuKQ/YqltdjlUikkMlkwH/rpBJp5jlIZZBKJYBECpmBAST/PfWXnp6Gh7cv49eZgzRqU3ZKERERUZGREp/8qpPp2UtVp1NsSDSin0UiNjz6VWEJIDeWq+5cGhrJ4eJREZ4+NVGpjh+qNWwJC+tS2Y6RnBCnxTMiIiIqOYQQSIlPRmJUPBKjElT/JkTFITk6EUkxiUiKTURSVAISoxOQFJ2A5LgkpCalvPXpIKlMqtYBlNlpYwgDQzmM5MYwlNvA3NoUhnJjGBmbQG5sCrmJmerL2NQcJuaWMDG1gKm5JUzMrWBqbgVjM3PIjV+VkUql2musIiwuKlzjsuyUIiIiIr0ghEBCZLyq0yn6WQSin//X6fQ88+mnxNgEVXlDQ0O4urvBoZQ9XIwdYOlkiudKA0RGvAQAlHJyR7lqvihX3RcVajSEi5cPk0kiIqJCkJGuQFx4LOJCoxEXHoPYsBjEh8UgLjwW8S8z18e/jEVidEKOTyhJZZlP28gMMjuSDI1MYGJqjlKlnGHmZQ1TS2uYW9nCwroUrGztYWFjD5tSLrBxcIGVnSOv73pGkoefBzuliIiISCuUSiXiw2IQ9Uz9tbro55GIeRaJqGcRSEtOVZU3NTNFaY/S8PTwRJMm9eHh4QEHBwfEx8fj6dOnuH79Bs6dP4fgh48glcngWb4aan3QGeWqN0C5qg1g6+iqw7MlIiIqHoQQSI5JROTTl2rX75iQSEQ9jUDMiygkRsWrPckkkUhgYPSqg8nUwgqOTj6wquwIG3tn2Dq6oZSzBxxcveDo7g0TMwvdnSAVOKlUpnFZdkoRERFRgchIVyDmRTSin0Ug6mmEakynmP++okMioUhXqMpb29rAw6M0Knh4wbNac3h6esLDw0P1ZWNjg6CgIJw7dw5nz57Fho2bcOvmDQghYG5pA++q9dCq52iUrVIPZSrXgdzETIdnT0REVHQJIRAXGo2XD8Pw8lEoIh+HIyI4HC8fvEDU0wikJb26aSSRSmEoN4JcbgYzS1u4la6OUvVLw8GtDFw8K8DNuxIc3LxhYMDuhpIqL0+u8beEiIiINKJITUf088j/nnSKQPTTrCeeMmewi3kRBaXy1SDi9o728CjtgRqeleHZUL3DydPTExYW6ndFY2NjceHCBfz99984e/Yczp07h+joKACAWxkflKlSD1+0H4yyVevByaM8H9UnIiLKo4x0BV4+CkNY4HOE3Q9BWFAIQgOfI+JRGBSp6apyhnI55CZmsLRxQMUaleHsUR6ly1eDd+U6cHQvy2swvZWET0oRERFRXqUlp6oey8960inqaQRin2WO5xQTFqUqK5FI4OzqDA8PD/iWqwMPfw+1J51Kly4NExOTXI+lUChw7do1nD9/HmfPnsW58xcQePcOhBAws7SGd+W68Os8GGWr1EeZyrVhZmGthRYgIiIqHoQQiAuLQcitJwi5/QQhd54i5NYTRDwKU81CKzM0gNzEDFY2jqhS1x+ly1VF+RoNUa5aAxibmuv4DKgo4+t7RERElE1KQnJmp9PTCEQ9z3zSKepp1iDiEYiLiFWVlclkcHV3haeHJ6pXaQiPtq86nTw9PeHm5gYjIyONjiuEwPPnz3H+/Pn/vi7g0uVLSEpMhFQqRelyVeBV2ReNO49A2ar1eAeWiIgoD4QQiAmJwtNrj/DsejCeXX+Ep9ceISkmEUDmIOLGpuawLuWCOs0aoFy1BqhcvwVcvSrqOHIqrvj6HhERUQmUEp+MqKcvXw0k/jQCUc8iEPs0ElHPI5EQFacqa2hoCLfSbvDy9EKdWlXh8YkHvLy8VJ1OLi4u+R4LIiYmBpcuXcLFixdx/sIFnDt3HmGhLwAAdo6u8KpUB+36TUKZKnXgVbEmx4IiIiLKg9TEFDy5+hCPrzzA48v3EXz5PpKiM2enNTAygKm5Ldy9aqBs1fqo1rAlyldvyJs9pFV8fY+IiKgYSo5Lyny17tmrp5yin0Ug5mkUop69RGJMgqqskVwO99Ju8PTwRIMGNdWecvLw8ICzszNkMs0ThlxjSk5GQEAALl68iAsXLuD8hYu4H3QPAGBqbgnPijVRt1VPlKlcG2Uq1YGNvfN7H5OIiKgkiQuLwaML9/Do4j3cP3MXoXefQQgBqUwKUwtruJauggrtG6PuBx3hWbGGrsMlglQq0bgsO6WIiIj0hNqTThp0Onl4loanhyd8G9ZWdTZ5eXnB09MTjo6OBX5XNC0tDTdv3sTFixdx6dIlnL9wEbdv3URGRgYMjeTwKF8NnjWao3mPcShTqTacSpfjnVkiIqI8in8Zi/tn7uDBmbu4d/IWIh+HAwAMjeWwKeWKhh91R+1m7VDdtxUMNHyVnkibOKYUERGRHkpJSFZ1NkU9falxp1PDRnXg6emp9uXg4FCoHT4KhQK3b9/GpUuXcOnSJVy4eAk3rl9DWloapDIZ3Mv4wKNiLXz+UT94+dSGe9nKMDBkYkxERJRXacmpeHD2Lu6duIXAYzcQFhQCADAyMUYpJ0/4d/kUTT7+nE9BUZEhzcPT+OyUIiIiKiCpiSmqmetUnU5PIxDzNBJRzyKQEB2vKmskl6O0hzu8PL1UTzplPeWkjU6n16Wnp+P27du4fPkyLl++jIuXLuPG9WtISUmBRCKBq1dFlK5QA12GdoZXpf+3d9/hTVV/GMDfpGm6k9LdQjejlD0ECsiGioggKEOmgMhUQBFRZKmg/hREZAgyVVRQkb1kKVAUCoXSsksHdM90t0nu74/SSAWkhTY34/08T562957kvtcr6ek3557TCj71m8LK2lYv2YiIiEyNIAhIu5mMy4cv4PKRC4j56yo0pRrI5JZwdvdBt4Gvokv/V+Bbv6nYUYkei0TCic6JiIiqXWlhCTLvpCMzPg1ZCenISEhHVkIasm9nIjMhDbkZ/0wkLpfL4X236NT27pxO5Q9/f/8aub2uMoqLixEVFYVz587pClCXIi+iuLi4rADl1wA+DZpjwIQB8AtqDt8GzbgsNBER0RPSlKoR89c1RB08j0sHziHrdjokUgnslc5oFtIbnfuNQtP2obztnUwCR0oRERE9BnVxKbLulI1q+qfwlIac25nIjE9DTlq2rq1MJkMdnzoI8A9A61ZN4f+if4Wik4eHh+gdy7y8PFy8eBHnzp0re5yPQHTUJZSWlkIqlaK2fwP4NGiBFye/BL8GzeFTvykLUERERNWkuKAYV49eROT+cEQdPI/ivCLI5JZwqx2ITmPHocegCVA4uogdk6jacaQUERHRA2jUGuQkZSIzvqzYlJVwt/h0O6PsNrvkTAiCAACQSqXwquMFfz9/NGvcHv59/SvcYle7du1qWb2uuqSlpeH8+fOIiIjA+fPnEX7uPG5cvwZBECCztESdwGD41G+OoT1HwC+oBerUbcRb8IiIiKpZcX4Ron+/gAu7/sLlwxegLlHDysYGvg1aousLY9Gu10uif2hFVNM40TkREZklrVaL3NScsvmc4tPuzu1UNq9TVnw6MhPTodVode09vDzg7++PkHqt4d+rYtHJ29sblpaWIp7Ng2m1Wty6deueAlQEzp0/j+SksklRbWzt4V2vCXybdUGnl96Ab1Bz1PYP4iTkRERENaS0qASXj1zE+d/CEH0oAuoSNWzs7BHcuhueGToVjdp0FTsikV7x9j0iIjJJgiCgICtfV3TKuPs163YGshMykJGQitLiUl17Jxdn+Pv5oUVAY/h1KCs4lRedfH19YW1tLeLZPFpBQQEuXbqECxcu4MKFCzh/PgIXIy8iL7dswvRaLu7wrtcUrXoOhW+DpvCt3wxudQL4CSwREVEN02q0uHHqMs5tD8OFXX+jpKAYVra2CG7dDX1GzkBQi45iRyQSjUQiqXRbFqWIiMigFOcX3VNwSr874imtbAW7hDQU5hXq2jooHODn74cG/gHwb9ZNV3QqLzzZ2xvH/EiCIODOnTu4cOECLl68WFaAiriAG9evQavVlt1K6Fsftes2xrMjQ+FTvym86zWBo7O72NGJiIjMSsqNRJzddgJntp5AbmoOLK2sEBDcGs+OmI7mHZ4ROx6RQeBIKSIiMliaUjWy7mQgIz5NV3DKjE9H9t1b7VTpObq2cisr+Pr5IMA/AJ26tKtQdPL390etWrWq9EmMISgoKEBUVBQuXrx4twBV9jUrKxMAYOeghHfdxvBp2hkdBk6Bb/2mqO3fEHJrG5GTExERmaei3EKc33Eaf/3wBxIiYiCVWcDTpz5eHPsBOj0/miOUif6FE50TEZFoBEFAbmoOMuJTy4pO8enIiE9FVkLZZOJZiRnQasvmdZJKpajtXRsB/gFo0bwT/F+oWHQyhBXsHpdGo0FMTAwiIyMRGRmJi5GRuHgxEjdvXIcgCJBKpfD0qQuvgGB0HTS5rBBVrwmcPbyNrtBGRERkagRBQOzZG/hryzGc3/EX1MWlUDi5InToFPQf9y5s7RViRyQyWBwpRURENaootxAZcanITEhDRlzZaKeM+LS78zqlobSoRNfW2dUF/n5+aBXQFAFdAioUnXx8fAxyMvGqEAQBqampiIyMxKVLlxAZGYkLFyMRHR2FwoICAICilgvqBAYjoGUPdB40Dd71GsPLP4ir3xERERmYQlUBwn89hZMbDiP1RiJkcjnqN+uAlyYuQECjVmLHIzIKHClFRERP5N+32JV/zY5PR0Z8GvKycnVtbWxt4Ofvh7oBgQjo3QUBARULT8Yyr1Nl5OTkICoqClFRUXdHQJUVoTIy0gEAcitrePk3QJ3AxujX/gXUCWwE73qNoXRy4+gnIiIiA3bnUhxObjqM8F9OQV1SilquXnhx4nz0Hj4NMhn/bCaqCo6UIiKi/yQIAvLSVbqCU9mop7JJxbMSMpB1J113i52FhQVqe9dGYEAgWrdugoBB/xSdAgIC4OrqanIFl/z8fFy+fBmXLl26W4C6hEtRUbhzOwFA2W2HHj51UTsgGE8PGA/vwEaoExgMt9oBVfolTEREROLRlKpxce9Z/LnuEOLCb0Amt0S9pu0xZOpH8AtqLnY8IqMllbIoRURk9koLS8pWsIu7u5JdXCoy4tOQFZ+BjPgUFBcU69rWcnZCgL8/WgU2hX+nsmJT+Ygnb29vo7/F7mEKCgpw+fJl3einS5eicCkqCvFxsbo27rX94BUQjObdBuG5wGDUCQiGh289yK2sxQtOREREjy0vQ4Wwb4/ixIbfkZeugr2yFnoPn4YBr86B3Jq/34melKQKc8KyKEVEZKS0Wu3dCcX/KThlxKUiKz69bDW7lExdW7lcDl9/XwQGBKJL9/a6UU7lXxUK056sMy8vD5cvX0Z0dDSio6MRFRWNqOhoxMXegiAIAABXT294+jdEo4790GtkQ3j5B6G2fxCsbU3n9kMiIiJzlnTlNv745gDCfz4JrUYLD596GDNzNVp1eV7saEQmhSOliIhMRElhMTLj05Ael1o24uluASorPgPpCakVJhR383BDQEAA2jdog4De/xScAgIC4OXlZbSr2FVFZmamrvhU9vUyoqKjcTshXtfGzcsXnv5BaNi+L7q/3AC1A8oKUDZ2DiImJyIAKC4ohsSi4nvVg+4OluCBG//1vPs2PPw1/7VB91xJxZ9N7VZlInMgCAKu/XEJx1btw7U/o2BhKUNwq64Y8dYSuHsHiB2PyCRV5felRCj/iJgem0qlglKphKXMAla2VrC0s4Z1LTvYOzlA4e4IZ183uNevjTqNfeDk62YWfxgSUeUIgnB3tFMqMmLvGe0UVzaheE5qlq6tlbU1/AP8EBgQiAD/AAQGBuqKTn5+frCzsxPxTPRHEATcuXMHly9fxpUrV3TFp+joaKSlpQIom/PJvY4/PHwbwNOvrPBU278hPH3rceQTPVJhngoTunshJyfH5EcRGoryvpRR0tWv7ilklRexdG0k93y59/uyb3TbJWUdeYnkn+/LNkv+aXdP+39+LvteIpWWfS+9214qgfSen6VS6T3fl20ve87d50rvvpZUCqmFFBKLu8+xKPtZalHWpvx1dNulUkhlFmXfyyxgIZNCamEBaflXC+k/38uksLh3n6z8tS1gIbeATG4JmaVM971F+feWsrKf5RawuOf7srYyFgzpPuoSNSJ2/oWjK/Yg+dodWNnaokPvYRg85QP2BYj0YHQ7BwiC8Mj+FEdKVaOZAzogt7AYaTkFSMnOQ1JsKmIibiE8r1DXRiqRQG4lg9TKElYOtrB3cYDSoxacvF3hVtcTTj6usHdygL2LAnZODpDJeYmIjF1pYQkyb6cjIy717qNsJbvyuZ5KCv+Z28nNww2BgYHo0LAtAvoE6IpOgYGBcHd3N6uidklJCW7evKkrPF2+fBnRl6/g6tUryM/LAwBYWsrh4VsXnn5B6NBvLLz8GsDTLwgePnU55xORERof2gpyywcP+df+x8eo937Geu/Hrf/+7FVbod2Dn6N9wHYBD9h2TzutIOh+FoR/2pc3Kdv/z2vd+xrC3X2CIEArlO8XdK9Tvk/4d/t/7dNq/2mj1Qq6Y5Zn0woCBI0WWrWgex2t7rj3Zij7Xn33dQTc+3rlGe85ru7rPfke8LNQdoB/MpedxH3X6HFJLaSwsCwrZFnayGFpXfaQ28hhaSOHlZ01LK0tddstrS1haWMFK3trWNlbw9reBtYONrC2t4GVgzWs7e5+dbCBpbWcRS8jUpRXiL+2HMfRVXuRm5oDhZMrhr6xCL2GTDGrfhSR2KQWFtCo1Y9sx4pHNZr1YkcobO//I6igqASxqdm4lZKFmOQs3ErOQkxKFq4nZiLuym0kRNzStbW4+4lWqaZs1Su5tRy2jvZwcFFA4ekIhXutsoKVswPsnRVwcFHA3sUBds4K2NWyh9SCb7RE+iYIAvIzc/8Z6RSbioz4stvtMuPTkZWUoWsrt7KCn78v6gbWRbfQjrqCU/n8Tra2tiKeiTgyMjJw9epVXLlypawAdeUKrly5ilsxN6HRaAAAdg5KePk1gIdvQzwX0h+efvXh5dcArl5+XO2OyIT8b2zoA/tSZNrUajUKStQoKCpFfnEJ8otKkFtYioKiEhQUl6KgpLTsa1EpCktKUViiRlGJGgXFpSguVaOoVI3iUjUKi9UoKClFYXFZm+KiEhSrClBUqkG+WoNSrRZqQYBGK0Ct1UKrFaDRaKHRaCtWJv9FIpVAbmsFK7u7xSuFLWyUtrB2sNEVtGyUtrB3KuuT2zs73O2rO8DWkf1zfcnLUOHPdYfw57qDKM4vhlttf7zyySrOF0UkEomkcu99LErpga21HME+bgj2cbtvnyAIyMwtxK2UrLJHclnhKiYlGzEpWUhIzUZ2ciaykzOBS4C13BISqRTFJaW65drvpXBRwt5ZATuXu78MXRS6kVf2Lne/Oitg76KAtYMNP/UhqiRNqRpZdzL+KTrdHfWUFV82AqrwnhGRTi7OCAwIQJvAlgjsGVih8GQuczv9W0lJCWJiYnD16lXd48qVsq8ZGekAym5TcfPyhbtPPQS06omOAybDw7cePP0aQOnkxvcrIiITJZPJoJDJRC1IqgqKcCcjF0mZuUjJzkNqdj4ycguQkVuIrNxCZOcXQVVYhLzCUuQnZyE3LhVpag1KNdqyYpdaC7VaDfyrtiWRSGCtsIGdkwMcXJRwcP3nw+XywpWDqxK16rjA0bMWLCz551lVZd5Ox7HV+/DX98eg0WjhU7cJRr79Beo2fkrsaERmTWphAZQ+up1Rv+tpNBrMnz8f3333HZKTk+Hl5YXRo0djzpw5uj9eBEHAvHnzsHbtWmRnZ6NDhw5YtWoV6tWrp3udzMxMTJ06Fbt27YJUKsXAgQOxbNky2NvX/L3GEokEzgpbOCts0bpe7fv2a7VaJGbmIjalbKRV+ddbqTmITc1BQmoWNHeLUxKJBBalAiS5apQU5aP0TgFSShJQUJgPVbbqvuHRMrnl3SKWA2xdyn4plhWvygtX/xSxHFwUkFmZ5pLwROWK84uQEZuK9PLb7GLvKTzdToP27ghGCwsLePt6IzAgEO07tkbAyLKiU3nhyVznoBEEAUlJSbh27ZruceXKVVy5ehWxt2J0o55s7Bzg6VsP7j710HlgV3j61YeHT314eAdCbm0j8lkQmRdT6EsRVQeFrTUUttZo6O362K+hVqsRl5aDa3cycSs5E3FpObiToUJKdh7SVQXIikvFnau3UaTWokSthrpUU6F/LpFIYO+igJO3C5x83eBU2xm16rigVh1nON793srWqjpO1ySk3EjEkeW7Ef5rGCRSCRo064BXZn/FycuJDITUHEZKffLJJ1i1ahU2bdqERo0a4ezZs3jllVegVCrx+uuvAwA+/fRTfPnll9i0aRP8/f3x/vvvIzQ0FNHR0bC2Lvs0ZtiwYUhKSsKhQ4dQWlqKV155BePHj8eWLVvEPD0AZZP11nFRoo6LEh0b+d63v1StwZ0MVYWCVWxKtq5olZyerftlJ5VK4e7mCldXNygdHWFnZwdLS0sIgoCSkhLk3MlBQsQ1pKWlQZWjuu9Ytgo7OLgoym4VdLEvK1y5lhWxHO6OviovYtk42prlaBAybIIgIC9dhfR7RjplxN5d1S4uDar0bF1bWztbBAQGoFFgfQS27V2h6OTj4wNLS/Mt0mZnZ+PatWu4fv26rvh0+cpVXL9+DQX5+QDKPhlxr+0PN+9A1H0qFE8PrFc26sm3PpTO7hz1RGQgzKEvRaQvMpkMgZ7OCPR0rlT78g+fI2+l4HxMEq7cTkdMSiYS72Qi5noiokrUKCmuOMzAWmELpzrOcPZ1Q617ila1vF3h4ucGa3vT/3Dn9qU4/P7FTkTuPwsLmQwtOj6LV2Z/CYXT/XelEJF4KjvFhlGvvvfcc8/B3d0d69at020bOHAgbGxs8N1330EQBHh5eeHNN9/EW2+9BQDIycmBu7s7Nm7ciCFDhuDy5csIDg7GmTNn0Lp1awDA/v378eyzz+L27dvw8vJ6ZI7yFWNytr5rcPMglJSqEZ+Wg9jUbMSmZCM2tWLRKvGeP8KlUinq1PaEr68fvH184erqCoVCARsbG8hkMqjVamRmZiI1NRUpqSlISU1Bamoq0lLSUFpa8RemhcwCDs7Ku/Nd3TMC6+5thA4uynuKWA6wtJbr+b8MmSqNWoPsxEzdKKf0uFRkxKYgKy4d6XGpKMr/5zY7V3dXBAYGol5gPV3Rqfzh6upq1oWTvLw83LhxQ1d4un79Oq5eLftafrsdADi5esDduy7cvOvC07c+PHzqwsOnLly9/CCz5L9rMk7mtPoe+1JEhq2opBThN5Jw7kYiouJTcSMpA7fTc5GeW4D8EjWKS0oh3LMKgL2zAu71veBezwtu9cq+egbVgb2Lwuj7NbFnb+DQFztw5ehFWFrJ0brrCxg5cyls7U37fZrIWE3u6Y08VZZpr77Xvn17rFmzBteuXUP9+vVx4cIFnDhxAkuWLAEA3Lp1C8nJyejRo4fuOUqlEm3btkVYWBiGDBmCsLAwODo66jpRANCjRw9IpVL89ddfeOGFF+47bnFxMYqL/1ktS6W6f1SRoZBbylDXyxl1vR78iU1xqRrxqTmITc3CrZRsxJUXryJO4lhqDpIycnQjrSQSCbw8PeDr6ws//wC0bNESvr6+8PX1hZOTE6ytraFSqZCamlpWuEpJ0X2fnJqCxKibSE1JRU52zn05bBxsoXBVlo3CcnW4O4G7QvfV3lVZNhrLlXNhEVBaVKKb2yk9NkW3ol1WXBrS41OhUZfdJlZ+m13dwLro0OmpCkWngIAAs7+tJD8/X1d4Kv96/foNXLt+HSnJSbp2DkqnskJTnUB0HtgdHj514e5dF+7egbCxcxDxDIjoSbEvRWTYrOWW6BDsgw7BPg/cr9VqEZ2Qhr+u3sbZ64m4FJeC2OuJOB9xC0VFJbp+vI3SFp5B3qjd2AeeDb3hFewDjwa1Df6DYUEQcPPUFRxc+htuhl2B3Noa3Qa+iqGvL4bcmgVsIkMmkVbub3ajLkq98847UKlUCAoKgoWFBTQaDT766CMMGzYMAJCcnAwAcHd3r/A8d3d33b7k5GS4uVUc6imTyeDk5KRr82+LFy/GggULqvt0RGFlKUO92s6oV/vhRauEtBzEpWbrilZxqdmIuxiGE4f343ZaFrT3fDrj5uqiK1r5+vqiYcOGeOaZZ3TFK6VSiZKSEqSlpemKVv/+mpySjJSLKbiZEoX01HTdPDTlLK0sy0Za3Z3Q3d7Foaxo5aKAg2vZdgfXskIWVyQ0XkW5hWUFp7uFp/S4VGTGppWtaJf4z0gdaxtr+Af4o15gXdTr36NC4cnX19esb7MDyv7Qu3nzJm7cuKF7PKjwZOeghLt3IFxrB6DdsyFw8w6Eh3ddePgEwl5ZudsQiMj4sC9FZNykUika+7qjsa87xvZqVWFfUUkpjl+KxZELt3D2+h1cvZGEvy/cQnFRCQBAYiGFW6AnfJr7o04zf/g084dnQ2+DKFQJgoCrxyJxcOkOxIXfgJWtLXoPn4YXJ86HTGbUf8ISmQ2zmFNq69at+P7777FlyxY0atQIERERmDZtGry8vDBq1KgaO+7s2bMxY8YM3c8qlQre3t41djwxWT1ipFX5nFZxqdmILS9YpeYg9lo4zp08ivjULJSq/ykqKRUO8PXxga+fP3z9/ODr6wsfHx906tQJvr6+cHevONeMVqtFVlbWA4tX5V+T4pIQc+YSUlNSUVhQWCGfVCqFvVNZkcrOxaFsDiznu8Url7vFKxeF7nZCmdyo/0kYFUEQkJ+Z+0/RKfbe+Z1SoUr/Z0SdQqlAYN1AtAxsgrpd66Ju3bq6wpOnp6dZz18mCAIyMzNx8+bNCsWna9dv4OaNG0hLS9W1tVc4wq1OgK7wVDbaKQDu3mWFJ45AJDI/7EsRmS5ruSVCW9ZDaMt6Fban5+Rjx19XcDgiBudjkhC9+wzObjsJQRAgtZDCK9gbvq3rwbdlIPxa14OTt4ve+gharRbRhyJwcMlvuHMpDjb2Dug39h30H/euWff3iIxRZf/NGvVf4DNnzsQ777yDIUOGAACaNGmCuLg4LF68GKNGjYKHhwcAICUlBZ6enrrnpaSkoHnz5gAADw8PpKamVnjd8rmTyp//b1ZWVrCy4soXAGAps4Cfey34uddC5wfs12q1SM7K0xWr4tLuFq6Sr+HopbOIS81GXkGRrr2VlRw+derAx9cPvn5+8PHx0RWufH19ERIS8p//7fPz85GSknLfo7yIlZSSjMRLZbcRPmgydztHe13Bys6lbIleBxcFHNyUZYUrV4VuG1cjfDRBEKBKyf6n6HQrBel353dKi01BYW6Brq2ruyvq1q2LpxuFoG6/sqJTefHJycnJrAsmGo0Gd+7cQUxMjK74dPPmTVy/cRMxMTeRk52ta6t0ctUVnjr27wp370C41QmAe50A2CudxDsJIjJI7EsRmR8XpR3G9mpVYWSVqqAI209dxp6z1xB+PRFnf/gDJzf8DgCwd3ZAQLsGCGjbAIHtguARVKfa70TQarS4uOcMDi3dgeRrd2CnUGLQ5A/Qe/gbLEYRGSmJtHITnRt1UaqgoOC+NykLCwtotWXLtvv7+8PDwwOHDx/WdZxUKhX++usvTJw4EQAQEhKC7OxshIeHo1WrsjfmI0eOQKvVom3btvo7GRMllUrh5ayAl7MCIQ3v3y8IArLzi/65LTA1B/Fp2YhLTcGlk9ex57ccpGRWLB55eriXFan8/CsUrcof/v7+CAh49FKwxcXFumLVgx7JKclIvpmAqJRUZGVk3vd8W4XdvwpYioqFK1elbpuljfjDoGuKVqNFdlIm0m+lVJjjKTM2DWmxKSgpLJszRCKRwKuOF+rVrYc27ZojcFhZ0alu3boICAiAg4N5z01UUFCAW7du6QpOMTExuHHjJm7cvIn4uFiUlNwdai+RwNm9dlnhybsJerV7Hm51/OFeJxCutf1ga68U+UyIyJiwL0VEAKCwtcaoHi0wqkcL3bbrdzLw7dEIHDp/E5ePRyFybzgEQYCVnTUC2wehXsdGqNv+bpHqMQtHGrUGETtO4+DSHUi/lQIHR2cMe/N/6DVoYnWdGhGJRGIOI6X69u2Ljz76CD4+PmjUqBHOnz+PJUuWYMyYMQDK/nibNm0aPvzwQ9SrV0+3jLGXlxf69+8PALo5j1599VWsXr0apaWlmDJlCoYMGVKp1WLoyUgkEtSyt0Etexs0D/B8YJuiklIkpKnuFqvuFq3SchB/9SzCTxxBQlo2SkrVuvZ2trbw8S4bbeVzt2Dl7e2tK1rVqVNH9wmtt7d3pW4XKC0t1c2D9dAC1tlkXE29iMz0DF1nvlz5RO72rsp/Cli6wpVSNweWg4vCIO7j/zeNWoPsOxllI55upermesqILVvdTl1StvqiVCqFj58P6tWth6e7ttUVnerWrQt/f3/d0uHmSKvVIikpCTExMRUeN26WfU1N+WfeFStrG7jV9oOLlz8CWvVEu37+cPPyh1sdf7h4+sJSztEFRFQ92JciooepV9sZC4d3x8Lh3QEAmaoCfHv0Anb8dRnnT1/D5cMXIGgF2DraoUGXJqjfqREadGoMpeejR2arS9Q4u+0Efl+2E1l3MqBwdsOY91ag8/M1d9swEemXtJIjpSRC+ZIMRig3Nxfvv/8+tm/fjtTUVHh5eWHo0KGYO3cu5PKyP+wFQcC8efOwZs0aZGdno2PHjli5ciXq16+ve53MzExMmTIFu3btglQqxcCBA/Hll19WemUuLmMsLq1Wi5TsfCSk5SA+raxoFV/+fXou4tNykJadW+E5Hu5uZUUqXz9dserewpWrq+t9t4t98803lc6Tl5cHlUoFlUqFnJwc3fcqlQo5KhVUuWXb8lR5+Pc/QWsHGzi43C1WuSng4OZYtgqhqwIKV8cKI7Gqcw4sjVqDrNvpSL97i136rVSk30pG+q1UZCak6Va0k1pYwNXNBa4ubnB3c4Orqyvc3Nzg5uYGZ2dns5p8cty4cRV+zsrKwq1btyo8YmJu4WZMDOLjYiusNOXk6gEXL3+4ePnBrbYfXGv7w9XTF251AuDo4mHWtysSia0wT4UJ3b0euYSxKWBfiogeV6aqAOsOncOvp6Jx6XY68vLLpuRwr+eFhj2aI7h7M/i1rgsLy3/6hiWFxTj9/XEc+Wo3ctNy4OReG4OnfoR2PV8U6zSIqIa8PbAJUm7femR/yqiLUoaCHSnDV1hcitvpqooFq7QcxKepEJ+hQkJqNgqLS3Ttrazk8K5TG97evvDx9YW3tzciIiKgVCrh6uoKpbJ6bpHSarUoKChAXl4e8vLykJ+fX/H7/DzkF5RtK8wvvK+AZaOwvVu8KnsoXJVwcHOEvYsCCreykVn/LlwJWgHZiRlIj00tK0DdSkF6TDIyb6dDqykb4WUhs0Atp1pwcnRCrVq14OzsDCcnJzg5OUGpVJr1vf2ZmZnIyMhAVlYWgoODy265i7mFW7dioMr5Z3J2G1t7uNb2hbOHH1y9fOFWxx+uXv5lI6A8fSG3thHxLIjov5hTUcpQsC9FZPyu38nA8l2nsTf8GuLSVVCXaiC3s0LDrs1Qr2MwMm+n4fR3x1CQkw9XL38Mn/EpmnfsLXZsIqohs15siuSEGBal9IEdKeMnCAIyVAWIS8tBQloOEtL/KVwlpOciPj0HSek50AoCHOztMH3Gm3ofyaLVanVFq3uLV/cWsPLy85Gfl3ffKoQPUlZ4coJzrbLCk5OTk674pFAozLrw9DC3b9/G+vXrIQgCLGQyuHr6wMWrrMjk6lVWfHKt7Q9XL1+uZkdkxFiU0j/2pYhMi1qtxpbjl7D+UDjOxiQjv6BstLiLly9enfs1glp0FDkhEdW02YNbIDH2+iP7U+Zznw3Rf5BIJHBR2sFFaYdWdR88/0VuQTEUgz6Cq5u7KMUGqVQKBweHSk0IrlarkZ+fj/z8fGg0mvv2Ozg4sPBURRqNBrt270GdwGC88b+tcHavA6lF5e6TJiIiIjInMpkMI7s3x8juzQEA9gM/gMzBGZ9vjxI3GBHpTWX/ZmZRiqiSVu79GxZSKZ599lmxozySTCaDUqmsttsMCThx4gTS09Ow4LPtcPXyFTsOERERkVEoKVWjsESNNi2fFjsKEemRVFK5D/BZlCKqhNTsPHz40x/o0rULmjVrJnYc0rPExET8+ecJ9BkxHT71m4gdh4iIiMho3EjKhFYQENiotdhRiEiPKntXCYtSRJUwf8tRyOTW+OmnrXB2dhY7DumRRqNBhw4d4e4dgOfHvCN2HCIiIiKjcjkhDQDQqE1XkZMQkT5JJJWbKoZFKaJHiI5Pxdf7w/G///2PBSkztGLFCvz112m89/VByK04+S4RERFRVVxOSIPMwgKefkFiRyEiPZJKKzdSirMcEz3CzA0H4efrg8mTJ4sdhfQsNjYW78yeje4vjkf95u3FjkNERERkdK7cToeVjR0X2CEyN5X8N8+RUkT/4dD5G9h75hp+/vlnWFlZiR2H9EgQBIwf/xrsFE54adICseMQERERGaXIuFQ4OLmLHYOI9KyyhWiWq4keQqPR4s31h9CxQ3sMGDBA7DikZ5s3b8ahQwcx8u1lsLFzEDsOERERkdHRarW4djsdHj51xY5CRHomkUoq1Y4jpYgeYsPv5xF5Kwl//fgbJJLK/YMi05CSkoJp06ej/TOD0axDqNhxiIiIiIxSQroKRaVq+AW1EDsKEemZhHNKET2+vMJivP/9Ubw8dCjatGkjdhzSsylTpkILC7w8/ROxoxAREREZrfKV9xq27iRyEiLSN050TvQEPv3lBLLyi7Bo8WKxo5Ce/fbbb/j55214efqncHB0ETsOERERkdG6nJAGqVSCuk3aiR2FiPRMIuGcUkSP5XZ6Dj7bHoYZ02fA19dX7DikR9nZ2Zg4cRKad+yNdr1eEjsOERERkVG7cjsd1tY2kMk4awyRueFIKaLH9N7mw3BQKPDO7NliRyE9mzlzJnJy8zDq7S84jxgRERHRE7oUlwobB2exYxCRCCo7Uoola6J7hN9IxOYjEVi9ejUUCoXYcUiPjh49im+++QajZn0BJ/faYschIiIiMnrR8anwDOL8rETmSGLB2/eIqkQQBMz45gCCGwZh7NixYschPcrLy8O4ca8iqEUHdOk/Ruw4REREREYvPScf2flF8KnfVOwoRCQCqZQjpYiqZNuJKPxx6Rb279/P+97NzNSpU5GYlIwFn/xS6TdPIiIiInq48pX3GjRvL3ISIhKDlBOdE1VeQVEJ3tpwCM/37YvQ0FCx45Ae/fTTT9i4cSOGv/U5PHzqih2HiIiIyCRcuZ0OAGjYuou4QYhIFBILTnROVGmf/HICKdl5WLJ0qdhRSI9iY2Mx/rXX0LbHQHTsM0zsOEREREQm43JCGqytrGBrz3laicxRZSc6Z1GKzF5sShY+/fUk3pzxJgIDA8WOQ3qiVqsxbNhwWNkqMeqdZVxtj4iIiKgaRSekwcpOKXYMIhKJtJIjpThxDpm9t9YfhJOTM9597z2xo5AeffDBBzh9OgyzVx+AnYOj2HGIiIiITMqluFQ4e9YXOwYRiUQiYVGK6JGOXIjBLyej8N1338He3l7sOKQnJ06cwIcffoh+Y2ejfrMQseMQERERmZSCohLcyVChU4dgsaMQkUgqu4AUb98js6XWaPD6mv1oH9IOL7/8sthxSE+ysrLw8svDUK9pW/QdPVPsOEREREQm5+qdDABA3SZtRU5CRGKpbFGKI6XIbK3aewbR8Sk4++sezidkJgRBwGuvTUBmdg6mLd8PCxnfAomIiIiq2+WENABA4zbdRE5CRGKRsChF9HDpOfmY+/0xjBs7Fi1bthQ7DunJhg0bsG3bVkz6aBNcPH3EjkNERERkki4npEFuKYOzh7fYUYhIJLx9j+g/zPn2MASpDB8tWiR2FNKTq1evYsrUqejUdyTa9hgodhwiIiIik3U5IQ1WNpyvlciccaQU0UOcv5mENQfCsXTpUri6uoodh/SgpKQEQ4e+DEfX2hg241Ox4xARERGZtEtxqVC6eokdg4hEJJVWbvU9jpQisyIIAl5fsw8Ngxpg0qRJYschPXn33XcReSkSry1YD2tbfmpHREREVFPUGg1ikjPh6Vtf7ChEJKLKFqU4UorMyk9/XMKJqFgcOnQIlpaWYschPTh06BA+//xzDJ76EfwbthA7DhEREZFJi0nOQqlGi4BGrcWOQkQiquztexwpRWYjv6gEb204hBf690ePHj3EjkN6kJaWhhEjRqJx22545uWpYschIiIiMnnlK+8Ft+4ibhAiEhWLUkT/8vG2P5GeW4DPlywROwrpgSAIGD36FRSWqPHq3DWVXv2BiIiIiB7f5YQ0WEil8KnfVOwoRCQiiYQTnRPpxCRn4n/bT2Hm27Pg7+8vdhzSg6+++gp79+7B9M9/hqOLh9hxiIiIiMzC5YR0WNvY8gNBIjPHic6J7vHmugNwdXXFO++8I3YU0oOLFy9i5syZ6DloApp3fEbsOERERERm41JcCuxquYkdg4hEVtnCNEdKkck7dP4Gfgu7jB9++AF2dnZix6EaVlBQgCFDhsLduy4GTflQ7DhEREREZkMQBFy5nY66rbqKHYWIRGYWc0r5+flBIpHc95g8eTIAoKioCJMnT4azszPs7e0xcOBApKSkVHiN+Ph49OnTB7a2tnBzc8PMmTOhVqvFOB2qAaVqDd5YewBPd+yAwYMHix2H9ODNN9/EzZgYvPbBBsitrMWOQ0Rk0NiXIqLqlJiRi4LiUvjWbyZ2FCISWWVv3zPqkVJnzpyBRqPR/Xzp0iX07NkTL730EgBg+vTp2LNnD7Zt2walUokpU6ZgwIABOHnyJABAo9GgT58+8PDwwKlTp5CUlISRI0fC0tISixYtEuWcqHqt3PM3rt5Ow5Yd+yGRSMSOQzVsx44dWL16NUa+vRR1AoLFjkNEZPDYlyKi6nT5dtnKe0EtO4qchIjEZhYjpVxdXeHh4aF77N69G4GBgejcuTNycnKwbt06LFmyBN26dUOrVq2wYcMGnDp1CqdPnwYAHDx4ENHR0fjuu+/QvHlz9O7dGx988AFWrFiBkpISkc+OnlRaTj7m/XAM4199Fc2bNxc7DtWwO3fu4JUxY9Cy03PoNmCc2HGIiIwC+1JEVJ0uJ6RBKpGgfrMOYkchIpFVdk4poy5K3aukpATfffcdxowZA4lEgvDwcJSWlqJHjx66NkFBQfDx8UFYWBgAICwsDE2aNIG7u7uuTWhoKFQqFaKioh56rOLiYqhUqgoPMjzvbf4dEgs5PviQ8wqZOo1Gg+HDR0BiYYUx733FUXFERI+BfSkielKXE9JgZW0NuTWnUCAyd1ILM1t977fffkN2djZGjx4NAEhOToZcLoejo2OFdu7u7khOTta1ubcTVb6/fN/DLF68GEqlUvfw9vauvhOhavH31dv45uA5fPDhh3BxcRE7DtWwd999F8ePH8Or89fCwZHXm4jocbAvRURPKio+DTYOTmLHICIDIJGY2UipdevWoXfv3vDy8qrxY82ePRs5OTm6R0JCQo0fkypPrdFgwqo9aN6sKSZMmCB2HKph3333HT799FMMnvoRglt3ETsOEZHRYl+KiJ5UVFwqXGv7iR2DiAyAWUx0Xi4uLg6///47fv31V902Dw8PlJSUIDs7u8InfCkpKfDw8NC1+fvvvyu8VvmKMuVtHsTKygpWVlbVeAZUnVbtPYOIm4k4ffpXyGQm8b84PcTp06cxbtw4dOwzHM+8PFXsOERERot9KSJ6Ull5hcjILUCLuk3EjkJEBkBaySlVTGKk1IYNG+Dm5oY+ffrotrVq1QqWlpY4fPiwbtvVq1cRHx+PkJAQAEBISAgiIyORmpqqa3Po0CEoFAoEB3PlLmOUlJmLOd8dxWvjx6NNmzZix6EalJCQgH79+sO3QQuMfmcZ55EiInoC7EsR0ZO6klC28l79Zu1FTkJEBqGSc0oZ/TASrVaLDRs2YNSoURVGxSiVSowdOxYzZsyAk5MTFAoFpk6dipCQELRr1w4A0KtXLwQHB2PEiBH49NNPkZycjDlz5mDy5Mn89M5IzfhmP6xsbLFo8WKxo1ANKigoQL9+/aGVWmLKx9/DUs5/r0REj4t9KSKqDpcT0gEAjdp0ETcIERkEaSXnlDL6otTvv/+O+Ph4jBkz5r59S5cuhVQqxcCBA1FcXIzQ0FCsXLlSt9/CwgK7d+/GxIkTERISAjs7O4waNQoLFy7U5ylQNTl0/gZ+/CMSmzZtQq1atcSOQzVEEASMGjUa0Veu4L01v0Pp7P7oJxER0UOxL0VE1eHy7TRYyeWwV3KicyKq/JxSEkEQhBrOYvJUKhWUSiVytr4LhS2XPxVDUUkpmk5dDa/AIBw9dpy3cpmwBQsWYP78+Zj68fdo3bWf2HGIyAQV5qkwobsXcnJyoFAoxI5jFtiXIjJ+feZ/ixM3s7F8/y2xoxCRATi4dRW+/3zmI/tTRj9SiggA/vfLSdxKycJvB1ezIGXCfv75Z8yfPx8Dxs9hQYqIiIjIgETGpcLJPUDsGERkICp7+55JTHRO5u1mUiY+2vYn3nrzTU6qasLOnz+PESNHom2PgXh+zCyx4xARERHRXYXFpbidloM6geyLE1EZaSUnOmdRioyaIAiYsnovPDw88P7cuWLHoRqSnJyM55/vB0+/IIx9fxVHwxEREREZkGt3MiAACGzM1a+JqIzEXCY6J/P2y8lo7A+/hh07dsDW1lbsOFQDioqK0L//C8gvLsXcVT/ByprXmYiIiMiQXE5IAwA0adtN5CREZCgqO9E5i1JktHILijHtmwN4vm9fPP/882LHoRogCALGv/Yazp0/j9mrD8DJzUvsSERERET0L5dvp0Euk8G1tr/YUYjIQEilnFOKTNz8LUeRVVCML5cvFzsK1ZDPPvsM327ejDHvrURgo9ZixyEiIiKiB4iOT4OVrb3YMYjIgEgqWZTiSCkyShdvJWPZrtP46KNF8PX1FTsO1YA9e/Zg1qxZeG7UW2j/zGCx4xARERHRQ0TGpkDpyhHtRPQPjpQik6XVajFh5W40qF8f06dPFzsO1YCoqCgMGToULZ7ug4ETOIE9ERERkaFSazS4mZwJL78GYkchIkPCkVJkqtYfOo+wy/E4duwY5HK52HGommVkZKBv3+dRy80b4+evrXSFnYiIiIj072ZSFtQaLQIbPyV2FCIyIJzonExSek4+Zm36HSNHjkDnzp3FjkPVrLS0FAMHvoiMbBXmrt8JGzsHsSMRERER0X+Ijk8FAAQ/xZX3iOgfLEqRSZq18RAEqSX+97/PxI5C1UwQBEyZMgUnT53EzOW74OrlJ3YkIiIiInqEy7fTILOQok5gsNhRiMiAcKJzMjkno+Ow/tA5rF69Gm5ubmLHoWq2cuVKrFmzBmPeW4GgFh3FjkNERERElRAdnwYrGztOuUBEFUgllRspxXcOMgqlag0mrNyDNk+1xquvvip2HKpmhw8fxhtvvIFegyeh8/OjxI5DRERERJUUGZcKBycPsWMQkYGRSCWVaseRUmQUlu0MQ3R8Ks7+upefwpiY69ev48WXXkJw6y4Y8voiseMQERERUSVptVpcvZ2G4HYtxY5CRAamsnNK8a97MngJaTmY/8NxTJk8GS1atBA7DlWj7OxsPPdcX9goXDDxo02wkLFOTkRERGQs4tNyUFyqgV9DFqWIqCKOlCKT8caafVAoHfHBhx+KHYWqUXFxMV56aRDuJKdg7rqjsHNwFDsSEREREVVBdHwaACC4NVfFJqKKuPoemYRfT0Vje1g0tm7dCoVCIXYcqialpaUYNGgwjv/xB95c+is8fOqJHYmIiIiIquhyQhqkUgkCGj0ldhQiMjAsSpHRy84rxJSv9+H5vn3x4osvih2HqolGo8GwYcOxd99evP7Jj2jIT9aIiIiIjFJ0QhqsrW0h4xQMRPQvkkrOBc13DzJYszYeQl6xBitWroREUrn7UcmwabVajBk7Fr/++gsmfbQZzTqEih2JiIiIiB7TpbhU2Dm6iB2DiAyQhBOdkzH741Is1uw/i48/+QR16tQROw5VA0EQMGnSJHy7eTNenbcWrbv2EzsSERERET0mQRAQHZ8Kd++6YkchIgMkreRIKRalyOAUlZTi1a92oX1IO0yYMEHsOFQNBEHA9OnT8fXXX2PMuysQEjpI7EhERERE9ASSs/KQV1QC3wbNxI5CRAZIIuGcUmSkPvzpOG6lZGP7gXWVrq6SYZszZw6WLVuGEW99jk7PjxQ7DhERERE9oej4VABAUMuOIichIkMktajcFDz8i58MSmRsCj75+STee+89BAcHix2HqsFHH32ERYsWYcjri9DjpdfEjkNERERE1SAqPg1SiQRBLTqJHYWIDJBUwtv3yMhoNFqMW74T9evXwzvvvCN2HKoGS5YswZw5czBg/Bz0Hva62HGIiIiIqJpEx6fC2toacmtrsaMQkQGSWujh9r2dO3dW+Tk9e/aEjY3NkxyWTNRXu//CmWu3cfLkSVhZWYkdh57QqlWr8Oabb6LPyDfx/JhZYschIjJY7E8RkTG6GJsCGyVX3iOiB5NUcqTUExWl+vfvX6X2EokE169fR0BAwJMclkxQXGo23vvuCCZNnIiQkBCx49AT2rhxIyZNmoRegyfhpUnzIZFU7n5iIiJzxP4UERkbQRAQFZ8K70btxY5CRAaqsiOlnvj2veTkZGi12ko9bG1tn/RwZIIEQcDElbtRy8kZixYvFjsOPaEff/wRY8eORZf+r+Dl6Z+wIEVEVAnsTxGRMUnOyoOqoBi+Qc3FjkJEBkoq1cPte6NGjarS0PHhw4dDoVA8ySHJBP1wPBL7zl7Drl27+P+Hkfvtt98wfPhwhIQOxqhZy1iQIiKqBPaniMjYRN1deS+4dWeRkxCRodLL7XsbNmyoVLu8vDzY29tj1apVT3I4MkHpOfl4Y+1+DHrpJTz33HNix6EnsH//fgwePBitujyPsXNWQSrlOgpERJXB/hQRGZvouyvvNWzJlfeI6MGkFnpafW/p0qX/uT83NxehoaFPehgyUW+uOwCNRIYvly8XOwo9gaNHj6L/Cy+gUdseeG3heljInqjeTURkdtifIiJjEhWfCmtrG8jkcrGjEJGhquRdM09clHr33XexefPmB+7Lz8/HM888g4yMjCc9DJmgg+duYPORCHy+ZAnc3d3FjkOP6dSpU3iub1/Ub9YBkz7aDJnMUuxIRERGh/0pIjImZSvvOYsdg4gMWGXnlHriotS3336L11577b7ljPPz8xEaGoq0tDQcPXr0SQ9DJia/qASvrdyNbl27YPTo0WLHocd09uxZPNO7N3zqN8fUT3+A3Mpa7EhEREaJ/SkiMhaCICAqLgUe3nXFjkJEBkwvc0oBwIsvvojs7GwMHToUe/bsQZcuXXSf6KWkpOD48ePw9PR80sOQiZn73REkZ+fj0Jq1nAzbSF28eBE9e/WCu28Qpn3+M6ysuRoUEdHjYn+KiIxFUmYucgtL4NewhdhRiMiASS30sPpeuXHjxiEzMxP9+vXDjh07MHfuXCQmJuL48ePw8vKqjkOQCTl7/Q6+2HkaixcvRt26/ITFGF25cgU9evSEo5sPZiz9FTZ2DmJHIiIyeuxPEZExiE5IA8CV94jov+nt9r1yb7/9NiZOnIju3bvjzp07OHbsGOrUqVNdL/9Qd+7cwfDhw+Hs7AwbGxs0adIEZ8+e1e0XBAFz586Fp6cnbGxs0KNHD1y/fr3Ca2RmZmLYsGFQKBRwdHTE2LFjkZeXV+PZzVGpWoNxy3ehWdMmmDFjhthx6DHcvHkT3bp1h5XCGW99uQN2Do5iRyIiMhli9KfYlyKiqoiKS4VUIkFQi6fFjkJEBkxSydXYn3ik1IABAyr8bGlpCRcXF7zxxhsVtv/6669Peqj7ZGVloUOHDujatSv27dsHV1dXXL9+HbVq1dK1+fTTT/Hll19i06ZN8Pf3x/vvv4/Q0FBER0fD2rps/pthw4YhKSkJhw4dQmlpKV555RWMHz8eW7ZsqfbM5u7z7ScRGZuMv//eCRlXaDM68fHx6NatOyC3w8zlu+Hg6CJ2JCIikyBWf4p9KSKqKq68R0SVIdVXUUqpVFb4eejQoU/6kpX2ySefwNvbGxs2bNBt8/f3130vCAK++OILzJkzB/369QMAbN68Ge7u7vjtt98wZMgQXL58Gfv378eZM2fQunVrAMDy5cvx7LPP4rPPPuNw+Wp0/U4GFvx4HDOmT0erVq3EjkNVlJSUhG7duqNII8HsVbvh6MwVE4mIqotY/Sn2pYioqi7GpsCWH0wS0SPobaTUvZ0Yfdu5cydCQ0Px0ksv4fjx46hduzYmTZqEV199FQBw69YtJCcno0ePHrrnKJVKtG3bFmFhYRgyZAjCwsLg6Oio60QBQI8ePSCVSvHXX3/hhRdeuO+4xcXFKC4u1v2sUqlq8CxNgyAIeG3lLnh51caChQvFjkNVlJqaiu7deyArtwDvfn0QTu61xY5ERGRSxOpPsS9FRFVRtvJeKnybdhQ7ChEZOL3PKSWGmJgYrFq1CvXq1cOBAwcwceJEvP7669i0aRMAIDk5GQDg7l5xRIe7u7tuX3JyMtzc3Crsl8lkcHJy0rX5t8WLF0OpVOoe3t7e1X1qJmftgXAcvRCD1V+vga0tV2kzJjdu3ED79h2QnJaBWSv2wNXLT+xIRERUTdiXIqKqSMrMRV5RCfwbthQ7ChEZOKmkcuWmJypKXbx4EVqtttLto6KioFarn+SQFWi1WrRs2RKLFi1CixYtMH78eLz66qtYvXp1tR3jQWbPno2cnBzdIyEhoUaPZ+ziUrPx5rqDGDd2LHr27Cl2HKqC06dPo127EBRqpHhv7WF4+NQTOxIRkckRsz/FvhQRVcWluFQAQMNWnOSciKrHExWlWrRogYyMjEq3DwkJQXx8/JMcsgJPT08EBwdX2NawYUPdMTw8PAAAKSkpFdqkpKTo9nl4eCA1NbXCfrVajczMTF2bf7OysoJCoajwoAcTBAGvLt8JRycnfPb552LHoSrYsWMHunbrBuc69fDemkMcIUVEVEPE7E+xL0VEVREZmwKplCvvEVH1eaI5pQRBwPvvv1/p27FKSkqe5HD36dChA65evVph27Vr1+Dr6wugbKJODw8PHD58GM2bNwdQNmfBX3/9hYkTJwIo69hlZ2cjPDxcN/n2kSNHoNVq0bZt22rNa47WHzqHQ+dvYN++ffdN4kqGa8WKFZg6dSpad+2H8fO/gdzKWuxIREQmS8z+FPtSRFQVkXEpsLGx5cp7RFRtnqgo1alTp/s6Mv8lJCQENjY2T3LICqZPn4727dtj0aJFGDRoEP7++2+sWbMGa9asAQBIJBJMmzYNH374IerVq6dbxtjLywv9+/cHUPZp4DPPPKMbql5aWoopU6ZgyJAhXC3mCSWk5WDGuoN4ZfRoPPPMM2LHoUrQarWYNWsWPvvsM4QOnYIhry+q9FKeRET0eMTsT7EvRURVcT4mGfZOnmLHICIT8kRFqWPHjlVTjMfz1FNPYfv27Zg9ezYWLlwIf39/fPHFFxg2bJiuzdtvv438/HyMHz8e2dnZ6NixI/bv3w9r639Gfnz//feYMmUKunfvDqlUioEDB+LLL78U45RMhiAIGP/VTtgrlFiydKnYcagSiouLMWrUaGzd+hOGTf8EvYZMFjsSEZFZELM/xb4UEVWWWqPBlYQ0NG7f+tGNiYgqSSIIgiB2CGOnUqmgVCqRs/VdKGx5mxMAbDh0DmOW/Ybdu3ejT58+YsehR8jKykK/fv3x199/Y/z8b/BUt/5iRyIiEk1hngoTunshJyeHcx3pCftSRIbvSkIaGk5cjsFTP8Szw6eJHYeIDFxl+1NPNFKK6EHupKswfd0BjBo1kgUpIxAXF4dnnumNO0kpePur3ajXtJ3YkYiIiIjIwETGlS140KwDp+UgourzxJPF/P777+BgKyonCAJeW7ELtvYKLF36hdhx6BHOnz+Ptm3bITO3EO+t/Z0FKSIikbA/RUSGLjI2BZYyGWr7B4kdhYhMyBMXpUJDQ5GWllYdWcgEfHvkAvacuYqv16xFrVq1xI5D/+HAgQN4ulMn2Dl7Yc7aw/D0rS92JCIis8X+FBEZuouxKbC24y3NRFS9nrgoxU/1qFxihgpvrN2P4cOGoW/fvmLHof+wfv169OnTB/WaP413Vu6D0tld7EhERGaN/SkiMnTnY5Lh5OEtdgwiMjFc652qhSAImLByN6xs7bCMq+0YLEEQMG/ePIwdOxad+o3G65/8ACsbO7FjEREREZEByyssRnxqNnwbNBM7ChGZmGopSq1atQqHDx9GVlZWdbwcGaEtxy5i119X8PWatXBychI7Dj1AaWkpxowZg4ULF+KlSQsw6u0vYCHjWgdERIaC/SkiMlRR8akAgKCWnUROQkSmplr+Iv3qq6+wYMECSCQSeHt7o2XLlhUeHh4e1XEYMlDJWbmYumYfhg4Zgn79+okdhx5ApVLhxRdfwtFjR/HagnVo/8xgsSMREdG/sD9FRIYqMrasKNWsfS+RkxCRqamWolRUVBTUajXOnz+Pc+fO4dy5c1i7di0SEhIgkUjg4eGBO3fuVMehyMAIgoAJK3bD0toWXy5fLnYceoDExET07v0sbsTcwptfbEdw6y5iRyIiogdgf4qIDFVkbAqsraxgr+QdEURUvZ64KCWRSAAAXl5e8PLyQp8+fXT7MjIyEB4ejoiIiCc9DBmoH/+IxI7Tl/HLL7/AxcVF7Dj0L1FRUXjmmd4oLNXivTWHUCewkdiRiIjoAdifIiJDduFWMmwULEgRUfV74qLUf60W4+zsjF69eqFXLw7zNEUpWXmYumYfBg8ahAEDBogdh/7l6NGj6P/CC3B088acVb/Cyc1L7EhERPQQ7E8RkaESBAERt5LhFdRG7ChEZIKeeKLz/fv3Q6lUVkcWMiKCIGDSqt2QWlpj+VdfiR2H/mXLli0IDQ2FT4OWeHf1QRakiIgMHPtTRGSokrPykJNfBP/gVmJHISIT9MQjpfipnXnadiIKv56KxtatW+Hq6ip2HLpLEAR88sknmD17Njr2GYZXZi+HzFIudiwiInoE9qeIyFBFxqYAABq36SZyEiIyRVwPnqosLScfk1fvxYsDB+Kll14SOw7dpVarMXXqVKxevRr9xr6DF159TzdHCRERERHR47hwKxlSqQQNWj4tdhQiMkEsSlGVTVm9B4KFJVasXCl2FLorPz8fQ4YMxb59ezHmvRXo/PwosSMRERERkQk4H5MEG1t7yGT805GIqh/fWahKfj4Rha1/XsKPP/4INzc3seMQgNTUVPTp8xwuRUXjjc+2oVl73gJCRERERNXj76t3UMvDR+wYRGSinniiczIfaTn5mLR6L17o3x+DBg0SOw4BOHv2LNq2bYebsfGYvfoAC1JEREREVG1yC4oRk5wJ/6CWYkchIhPFohRViiAImLhyN7RSGVauWsW5ikSm1Wrx+eefo3379pDa1sJ7a4/AL6i52LGIiIiIyIRcuJUMAUCTdj3FjkJEJoq371Gl/HA8Er+cjMK2bdvg4eEhdhyzlpKSglGjRuPAgf14dvg0DJwwlyvsEREREVG1O3czCVKJBM2efkbsKERkoliUokdKzFBh8uq9GDpkCF588UWx45i1Q4cOYfjwEShWa/HWst/QpF0PsSMRERERkYk6dzMR1ra2sLa2FTsKEZko3r5H/0kQBIxbvhM29g74asUKseOYrdLSUsyaNQu9evWCm38jLPzuNAtSRERERFSj/r52B0rX2mLHICITxpFS9J++ORCOfWevYc+ePXBychI7jlm6desWhgwZivBz4Rg05QP0HvYGpFLWk4mIiIio5hQWl+Lq7XS07dVV7ChEZMJYlKKHupWchRnrD2Lc2LF49tlnxY5jln788UeMf+012Dg44b2vDyGw8VNiRyIiIiIiMxAZmwKtIKBRm25iRyEiE8bhFvRAWq0Wryz7Dc4urvh8yRKx45id/Px8jBkzBkOHDkWjdqFYsPkkC1JEREREpDfnY5IgAdCy03NiRyEiE8aRUvRAy3f9heORt3DkyBEoFAqx45iViIgIDB48BHEJCRg7ZxWefm44JBKJ2LGIiIiIyIycu5kEGxsb2CkcxY5CRCaMI6XoPlcS0vDO5t/xxuuvo2tX3kOuL4IgYPny5Wjbti2KIcf8jX+iU98RLEgRERERkd79fe0O7J09xY5BRCaORSmqQK3RYNQXv8HHxxeLFi8WO47ZyMjIQL9+/fH666+jc/+xmPPNUXj5NRA7FhERERGZoVK1BlFxKfCp10TsKERk4nj7HlXw6S8ncPb6HZw8eRK2trZixzELx48fx8svD0NuQRGmfbYVLZ7mpPJEREREJJ7o+DSUarQIfqqL2FGIyMRxpBTpXIhJxvwtx/DOrFlo166d2HFMnlqtxty5c9GtWzcoPfyx8NswFqSIiIiISHTnbiYCAFp1eV7kJERk6jhSigAAxaVqjPxiOxo2bIi58+aJHcfkxcfH4+WXhyEs7BT6j3sXfUfPhNTCQuxYREREREQ4dzMJ1lZWcHR2FzsKEZk4FqUIALDwh2O4nJCGM2f2wcrKSuw4Jm379u0YM3YsZNb2mL36AOo3CxE7EhERERGRzpnrd2BXy03sGERkBnj7HuGvqwn4+OcTmD9/AZo1ayZ2HJNVWFiIiRMnYsCAAajb/Gks3HyKBSkiIiIiMiglpWqcv5kEn/pNxY5CRGaAI6XMXEFRCUYu/Q2tW7XE22+/LXYckxUVFYXBg4fg+o0bGD1rGbq8MAYSiUTsWEREREREFZyPSUKJWoOWnZ4TOwoRmQGOlDJz727+HfHpKmza/C1kMtYoq5sgCFizZg1aP/UUcoo0mLfhOLoOGMuCFBEREREZpFOXEyCVSNCm+wtiRyEiM8AqhBk7ejEGy3aextKlSxEUFCR2HJOTnZ2NV18dj59/3oauL4zB0Gkfw8raVuxYREREREQPdSI6Hrb2Cljb2osdhYjMgFGPlJo/fz4kEkmFx73FlaKiIkyePBnOzs6wt7fHwIEDkZKSUuE14uPj0adPH9ja2sLNzQ0zZ86EWq3W96noXW5BMV5ZthOdOz2N119/Xew4JufUqVNo1qw59h08hCmLv8Pod75kQYqIiAwO+1JEdC9BEPDHpVi4+zYQOwoRmQmjLkoBQKNGjZCUlKR7nDhxQrdv+vTp2LVrF7Zt24bjx48jMTERAwYM0O3XaDTo06cPSkpKcOrUKWzatAkbN27E3LlzxTgVvZrxzX5k5BVjw8ZNkEqN/n8Dg6HRaPDRRx+hU6dOsHb0xMLNp/BUt/5ixyIiInoo9qWIqFxcajbSVQVo9FQXsaMQkZkw+tv3ZDIZPDw87tuek5ODdevWYcuWLejWrRsAYMOGDWjYsCFOnz6Ndu3a4eDBg4iOjsbvv/8Od3d3NG/eHB988AFmzZqF+fPnQy6X6/t09GLvmWv45mA41qxZA39/f7HjmIzExEQMGzYcx48fQ9/RM9F/3Luw4DxdRERk4NiXIqJyJ6PjAQDtew8ROQkRmQujHyJz/fp1eHl5ISAgAMOGDUN8fNkbaXh4OEpLS9GjRw9d26CgIPj4+CAsLAwAEBYWhiZNmsDd3V3XJjQ0FCqVClFRUQ89ZnFxMVQqVYWHscjMLcC4r3ah9zPPYNy4cWLHMRm7du1C06bNcDHqCmZ9tRsDJ8xlQYqIiIwC+1JEVO7UlQRYW1nB07e+2FGIyEwYdVGqbdu22LhxI/bv349Vq1bh1q1bePrpp5Gbm4vk5GTI5XI4OjpWeI67uzuSk5MBAMnJyRU6UeX7y/c9zOLFi6FUKnUPb2/v6j2xGjRl9R4UqoFv1q3jCnDVID4+Hi+8MADPP/88vBs+hYXfhaFh685ixyIiIqoU9qWI6F5/XIqD0q2O2DGIyIwY9VCO3r17675v2rQp2rZtC19fX2zduhU2NjY1dtzZs2djxowZup9VKpVRdKZ++iMSPxyPxA8//AAvLy+x4xi1kpISLFmyBAs/+AA2dkpM+nAj2vQYyEIfEREZFfaliKhcbkExouNT0f7ZHo9uTERUTYx6pNS/OTo6on79+rhx4wY8PDxQUlKC7OzsCm1SUlJ08yZ4eHjct4JM+c8PmluhnJWVFRQKRYWHoUvMUGHS6r0YPGgQhgzhPeJP4siRI2jatBnemzMHnfuPxaKfzqFtzxdZkCIiIqPHvhSR+frr2m1oBYGL9BCRXplUUSovLw83b96Ep6cnWrVqBUtLSxw+fFi3/+rVq4iPj0dISAgAICQkBJGRkUhNTdW1OXToEBQKBYKDg/Wev6YIgoBxy3fCytYeK1auFDuO0UpMTMSQIUPRvXt3wNYJCzefxNA3FsPGzkHsaERERNWCfSki83XqcjxkFlI0btdT7ChEZEaM+va9t956C3379oWvry8SExMxb948WFhYYOjQoVAqlRg7dixmzJgBJycnKBQKTJ06FSEhIWjXrh0AoFevXggODsaIESPw6aefIjk5GXPmzMHkyZNhZWUl8tlVn7UHwrHv7DXs3bsXzs7OYscxOmq1GsuXL8fcefNgYWmNV+etQYfeQzkyioiIjB77UkRU7s+oeNgpnSHjYj1EpEdG/Y5z+/ZtDB06FBkZGXB1dUXHjh1x+vRpuLq6AgCWLl0KqVSKgQMHori4GKGhoVh5z0ghCwsL7N69GxMnTkRISAjs7OwwatQoLFy4UKxTqnY3kzIxY90BvDZ+fIV5I6hyTpw4gYkTJyE6OgpdB4zDwAlzYefgKHYsIiKiasG+FBEBgEajRdiVePg1fVrsKERkZiSCIAhihzB2KpUKSqUSOVvfhcLWWuw4OhqNFp1mb0ByoQQXLkbC3t5e7EhGIzU1FTPffhubN21CYKPWGPn2F/ALai52LCIi0oPCPBUmdPdCTk4O5zrSE0PtSxGZi8jYFDSdsgJDp32MZ4ZOETsOEZmAyvanjHqkFP23z7afRNjlePz5558sSFWSRqPB119/jXffew9aQYpXZi9Hp+dHQSo1qenXiIiIiIh0TkbHQwKgfeggsaMQkZlhUcpEXbyVjPe/O4K3Z85Ehw4dxI5jFP7++29MnDgJ586Fo9PzozBo8gI4OLqIHYuIiIiIqEYduRgDGzt7KJzcxI5CRGaGwz9MUHGpGiOWbkdQUBAWcE6HR8rMzMT48ePRrl07ZOar8f43RzD2vRUsSBERERGRyVNrNNgffh3e9ZuJHYWIzBBHSpmg+d8fxeWEdJw5s48r3/wHrVaLjRs34u23Z6GwuATD3vwfug94FVILC7GjERERERHpxV9XbyO3sATtnxkqdhQiMkMsSpmYk9Fx+PTXk/joo4/QrBk/7XiYiIgITJw4CadPh6H9M0Mw+PWP4OjsLnYsIiIiIiK92hd+HTILC3R89mWxoxCRGeLteyYkr7AYo77YgXZt22DmzJlixzFIOTk5eP3119GqVSvcTsvG7FX78NqCb1iQIiIiIiKztPvva1C6ekEml4sdhYjMEEdKmZCZ6w8iKTsf+49/CwveglaBIAjYsmUL3nzzLeSocvHS5A/Qa8gkyGSWYkcjIiIiIhJFclYuLtxKRpf+Y8SOQkRmikUpE7Hv7DWs3ncGq1atQt26dcWOY1Cio6MxadJkHD9+DG26v4Chb3wMJ/faYsciIiIiIhLVgXM3AAC9Bk8QOQkRmSsWpUxAZm4Bxi7fhdBevfDaa6+JHcdg5OXlYcGCBfjiiy/g6uWHt5btQJN23cWORURERERkEPaevQ5bWzvUDggWOwoRmSkWpUzA5FV7UKSRYN369ZBIJGLHEZ0gCPjll18wbdp0pKWno9+4d9F72BuwlHMlQiIiIiIiAFBrNNgffh3eDVqLHYWIzBgnOjdyP/0RiR//iMTKVatQuzZvSTtz5gx69uyFl156Ce6BzbDox3A8/8rbLEgREREREd3jr6u3oSooRvtnhoodhYjMGEdKGbHEDBUmrtqDQS+9hCFDhogdR1QXLlzA++/Pxa5dO1HbrwGmfbYVLZ5+VuxYREREREQGaV/4dcgsLNDx2ZfFjkJEZoxFKSMlCALGLd8JK1t7rFy1Suw4oomOjsa8efPx88/b4O4dgPHzv0FIr5cg5eqDREREREQPtfvva3B0qw2ZXC52FCIyYyxKGalvDoRj39lr2L17N5ydncWOo3c3btzA/AULsOX77+HsUQdj3luBDs++DJnMUuxoREREREQGLTkrFxduJaPrC2PFjkJEZo5FKSN0KzkLM9YfxNgxY9CnTx+x4+hVbGwsFi5ciM2bN0Pp5IYRb32OTs+P4pxRRERERESVdODcDQBAz8ETRU5CROaORSkjo9VqMfqL3+Di6oYlS5eKHUdv7ty5gw8//BDr1q2DrYMjBk9dhK4vjIHc2kbsaERERERERmXrn5dgZ++A2v5BYkchIjPHopSR+WJHGP6MisXRo0ehUCjEjlPjUlJSsHjxYqxevRpyazu8MP599HjpNVjZ2IkdjYiIiIjI6CRmqLAv/AbahQ4SOwoREYtSxiQ6PhXvfnsE0954A507dxY7To3KyMjAJ598gq9WrIBEKsOzI99C6JDJsLE3/UIcEREREVFN2XQ4AhIJ8NLE+WJHISJiUcpYlKo1GLl0OwICAvDRokVix6kx2dnZWLJkCZZ+8QXUai16DpmM3i+/DjtFLbGjEREREREZNUEQsOZAOJw9feHs4S12HCIiFqWMxUc/HUdETDJOnz4NGxvTm0cpNzcXX375Jf732WcoKipGt4Hj8eyIaVDUchU7GhERERGRSTgRFYfYlCwMnTZL7ChERABYlDIKZ6/fwYdb/8B7776H1q1bix2nWhUUFGDlypX4+ONPoFKp0OWFMXhu1FtwdPEQOxoRERERkUlZ//t5WMnl6PHSBLGjEBEBYFHK4BUWl2Lk0t/QrGlTzHn/fbHjVJuioiKsWbMGixYtRnpGOjr1HYm+r7wNZ/c6YkcjIiIiIjI5uQXF+PF4JOo2fxoyGf8MJCLDwHcjAzfn28OISclC+N7DsLS0FDvOEyspKcGGDRvwwQcfIikpEe17v4y3xs6CW21/saMREREREZmsn/68hKJSNV7kBOdEZEBYlDJgxyNvYemOMHz66ado1KiR2HGeiFqtxnfffYf58xcgPj4ObXu+iKlLZ8PTt77Y0YiIiIiITN7aA+FQ1nJBQKNWYkchItJhUcpA5RYUY/SyHejYoT2mT58udpzHplar8dNPP2HBgoW4fv0anurWD+MX/4Q6gcZdZCMiIiIiMhaXE9Lw97XbCB06RewoREQVsChloN5afwBpqiIc3rQZFhYWYsepstzcXGzcuBGff74EcXGxaN6xNxa+vwG+DZqJHY2IiIiIyKxsOHQOMgsp+o97V+woREQVsChlgA6eu4E1+89i1apVCAgIEDtOldy4cQPLly/H+g0bUFBQgDbdXsDYD7fAt35TsaMRERGRgRMEQewIRCYnK68QX+8/C6/AJrC1V4gdh4ioAhalDExOfhHGLt+JHt274bXXXhM7TqUIgoDff/8dy5Z9ib1798Be6YSuA19DtwGvwsm9ttjxiIiIyEhotCxKEVW3j7f9ifyiErz1/iqxoxAR3YdFKQPz5rr9yClU45t16yGRSMSO85/y8vLw7bff4ssvl+PKlcvwrd8EY95dgXa9XoLc2kbseERERGRkWJQiql4JaTlYuuMUApuG8M4FIjJILEoZkH1nr2HdwXNYs2YNfH19xY7zULdu3cJXX32Fb9atQ15uLlp16YvZ05aiQfMOBl9IIyIiIsOl0WjFjkBkUuZ+fwSABJM+3CR2FCKiB2JRykBk5xXi1a92o1fPnhg3bpzYce4jCAKOHj2KZcu+xK5dO2Hn4IjO/cei24BxcPH0ETseERERmQCOlCKqPpdiU7Dp8Hm07toftVw9xY5DRPRALEoZiBnf7EdusQbfrFtnUKONCgoK8P333+OLZV8iOuoSvOsGY/Q7XyLkmcGwsrYVOx4RERGZEI2WI6WIqsusjQcht5Rj3PurxY5CRPRQLEoZgD1nrmLD7+fxzTffwNvbW+w4AIC4uDisXLkSa9auRU52Nlo83QfvrPgEQa06GVTRjIiIiEyHliOliKrF8chb2Hv2OnoOnghrW3ux4xARPRSLUiLLyivE+BW78UxoKMaMGSNqFkEQ8Mcff2DZsi+xY8dvsLFzwNN9R6HHS+Ph6uUnajYiIiIyfRwpRfTkBEHAW+sPwtbWDkNeXyx2HCKi/yQVO0B1+fjjjyGRSDBt2jTdtqKiIkyePBnOzs6wt7fHwIEDkZKSUuF58fHx6NOnD2xtbeHm5oaZM2dCrVbrLfe0NfuQXyJg7TffiDYCqbCwEOvXr0ez5i3QpUsX/B0RjREzl2DJzqsY+sYiFqSIiIjMhNj9KY3AkVJET2rdwXM4e/0O+r36HmQyjkEgIsNmEu9SZ86cwddff42mTSsuczp9+nTs2bMH27Ztg1KpxJQpUzBgwACcPHkSAKDRaNCnTx94eHjg1KlTSEpKwsiRI2FpaYlFixbVeO5df13B5iMRWL9+PerUqVPjx/u327dvY+XKlfj66zXIyspEsw7PYOaXH6BRm668RY+IiMjMGEJ/iiOliJ5M+I1ETFq1C56+9fHMy6+LHYeI6JGMfqRUXl4ehg0bhrVr16JWrVq67Tk5OVi3bh2WLFmCbt26oVWrVtiwYQNOnTqF06dPAwAOHjyI6OhofPfdd2jevDl69+6NDz74ACtWrEBJSUmN5s7MLcD4FbvxbO/eGD16dI0e616CIODkyZMYNGgw/Pz8sGz5CrTuNQSfbIvA9M+3oXHbbixIERERmRlD6U9x9T2ix5ehKkD/D7bAUm6DueuPiR2HiKhSjL4oNXnyZPTp0wc9evSosD08PBylpaUVtgcFBcHHxwdhYWEAgLCwMDRp0gTu7u66NqGhoVCpVIiKinroMYuLi6FSqSo8quqNNftQqAbWrF2rlyJQUVERNm3ahFatWqNjx4448fd5DJ3+CZbsvIph0z+Bu3dgjWcgIiIiw6Tv/tTD+lIcKUX0eDQaLQZ/shXJ2fl488udsLVXiB2JiKhSjPr2vR9//BHnzp3DmTNn7tuXnJwMuVwOR0fHCtvd3d2RnJysa3NvB6p8f/m+h1m8eDEWLFjw2Ll3nL6M745ewKZNm1C7du3Hfp3KSExMxOrVq7Fq1Wqkp6ehafteePOL7WjctjukUqOvSRIREdETEqM/9bC+lFbDkVJEj2Pu90dw5EIMBk39EHWbtBU7DhFRpRltUSohIQFvvPEGDh06BGtra70ee/bs2ZgxY4buZ5VKBW9v70o9N0NVgNdW7MFzffpgxIgRNZJPq9Xijz/+wNdr1uDnbdtgKbdGhz7D0HPQBHj41KuRYxIREZHxEas/9bC+FG/fI6q6HacvY9HWP9AkpCeeHT5N7DhERFVitEWp8PBwpKamomXLlrptGo0Gf/zxB7766iscOHAAJSUlyM7OrvDpXkpKCjw8PAAAHh4e+Pvvvyu8bvlqMuVtHsTKygpWVlaPlXvGN/tRrJXg6zVrqv22vWvXruHbb7/F5s3fIj4+Dh7egRg89SN0fG44bO2V1XosIiIiMn5i9ace1pdiUYqoavacuYohn2xDLVcPzFjyi9hxiIiqzGiLUt27d0dkZGSFba+88gqCgoIwa9YseHt7w9LSEocPH8bAgQMBAFevXkV8fDxCQkIAACEhIfjoo4+QmpoKNzc3AMChQ4egUCgQHBxc7Zn3h1/Xrbbn5eVVLa+ZlZWFn376CZs2bcbp02Gwc1CidbcXMGLOMNRr2o6TlhMREdFDGVp/inNKEVXemv1nMWHFTjg6u2Phd6c5NQcRGSWjLUo5ODigcePGFbbZ2dnB2dlZt33s2LGYMWMGnJycoFAoMHXqVISEhKBdu3YAgF69eiE4OBgjRozAp59+iuTkZMyZMweTJ09+7JFQD5NbUIzXVuxGj+7dn3i1vdLSUuzfvx+bNm3Grl07odZo0KRdD0z6aBNadHwWcmub6glNREREJs3Q+lMagSOliB5FEATM+fYwFm39A3UCg7Fg4wnI5HKxYxERPRajLUpVxtKlSyGVSjFw4EAUFxcjNDQUK1eu1O23sLDA7t27MXHiRISEhMDOzg6jRo3CwoULqz3Lu5t/R3peEY495mp7giAgIiICGzduxJYtPyA9PQ2+9Ztg4MQFaBc6CI7O7o9+ESIiIqIq0md/Sq3hSCmi/1JSqsYrX/yGLccvonnH3njjfz9xhBQRGTWJIPAjqSelUqmgVCqRs/VdKGzvnyT0RFQcOr2zHkuXLsUbb7xRpddOTEzE999/j42bNiM66hIcnd3QLnQwOvR+GT71m1TXKRAREdFdhXkqTOjuhZycHCgUXFZdH8r7Ur9/OArdmweKHYfIIIVdjsf4r3YiOj4N3QdNwPAZ/xM7EhHRQ1W2P2XSI6UMQVFJKcZ9tQtt2zyFKVOmVOo5BQUF2LFjBzZu3ITffz8EC5klWnZ6DjPGLkDjtt1hIeNlIyIiItPDOaWI7pehKsA7Gw/hm4PhsLG1w7h5a9Gh9xCxYxERVQtWN2rYBz8ex62ULPy6/ygsLCwe2k6r1eLEiRPYtGkTtm7bhrzcXNRvFoJRs5bhqe4vwM7BUX+hiYiIiETA1feI/lGq1mDzkQjMXH8AqoIStOn+Al6bv47zRxGRSWFRqgZFxCThk19OYN68+Q9dfebGjRv49ttvsWnTZsTFxcLNyxfdB01Gh95D4e7N4etERERkPjhSiqhsZNSa/Wfx5a7TSM7Kg6unD+av3gqfeo0f/WQiIiPDolQNUWs0GPPlTgQ3bIhZs2ZV2JednY2tW7di48ZNCAs7BRs7BzzVfQBenr0a9Zu152SFREREZJY4UorMlVarxZnrd/DNgXPYfCQCao0WbnUCMfHNOWjX80Wx4xER1RgWpWrI59tP4UJMEk6f3g65XI6ioiLs378fW374ATt37EBpaSkat+2OCQvXo2Xn52BlbSt2ZCIiIiJRabj6HpmR4lI1jl68hR2nr+CXU9FIy8mHpUyG+i06Ydib/0Nt/yCxIxIR1TgWpWrAzaRMzP/hGKZOnYrExEQMGz4cO3fuRF5uLnzqNkL/8XMREjoItVw9xY5KREREZDC0XBSaTFhmbgFOX7mNsCsJOBEdj9NXE1BUooaVXA4P/4YYNnYYuvQbA7n1/at5ExGZKhalqpkgCHhtxS5YWlrhm3XrsGzZMnjXDUbPIa+jTfcX4MVPPIiIiIgeiLfvkbHTarVIzspDXGo2rt7JQFR8KqLiUnExNgV3MlQAAEuZBewdXVG/dXd0fn4kWnbuy+k7iMhssShVzTYficDhiJtw8fBGx74j0KbbC6gd0FDsWEREREQGj0UpMjSCICCvsAQ5BUXIzitCTkERcvKLka4qQFpOPlKy85CUlYc7GSrEJGchMUOF0ntuQ7WWy2Flr4SzZ3106dQMbXsORFCLjixCERHdxaJUNXr67XW4GJuCpiE98eYX28WOQ0RERGRUbiRm4My1O1DaWcHCQP5oF0S+pbAmDy+g4os/6FgPO3/hnv3lTcrbPnAfyr4XhLKjlu/TCtr7tmu1FdsIKNumFQRotAI0Wm3ZV4224s93v6o1Wmi0WhSXalBUUoriUg2K1WoUlajLvi+9+736n+8LS0pRVKLRfV9QXApVQRHyi0ofeluphVQKS0sZZHJrWNrYQ+nkj+aNfeHp1wA+9ZqgQfP2UDi5Vfp6EBGZIxalqpFFnRaYNG4Imj/9rNhRiIiIiIzOvC1HMW/LUbFjkImQSiWQSiSQSqSQSCWQSqWQSKSQSKWQSC10D6mFDBYyS1jI5JDJ7CCzs4KNsw2c7BWwc3CEvdIZDrVcoKjlCkcXDzi6esK9dgDsFI5inyIRkdFjUaoavbZgPWzsFWLHICIiIjJKLTs/hwbN2yM7PRmOrl5ixzEYUomkCo0rP8JMgvtf94G3lT3k+BKJ9O5zyveX/Sy5+3P5fsnd50vKi0ISCaQWFpCgrFik+1kihVQq1X0vkUjKtllYQCKVQiq1gEwmh4WlJWQyGSws5bCQWd6zTV72kMt5exwRkZFgUYqIiIiIDEKnviPRgiPOiYiIzAY/QiAiIiIig2BlbSt2BCIiItIjFqWIiIiIyCBYWtmIHYGIiIj0iEUpIiIiIjIIVjYcKUVERGROWJQiIiIiIoMgt+ZIKSIiInPCohQRERERGQS5FUdKERERmRMWpYiIiIjIIMitrMWOQERERHrEohQRERERGQQLC5nYEYiIiEiPWJQiIiIiIiIiIiK9Y1GKiIiIiIiIiIj0jkUpIiIiIiIiIiLSOxaliIiIiIiIiIhI71iUIiIiIiIiIiIivWNRioiIiIiIiIiI9I5FKSIiIiIiIiIi0jsWpYiIiIiIiIiISO9YlCIiIiIiIiIiIr1jUYqIiIiIiIiIiPSORSkiIiIiIiIiItI7FqWIiIiIiIiIiEjvWJQiIiIiIiIiIiK9Y1GKiIiIiIiIiIj0jkUpIiIiIiIiIiLSO6MuSq1atQpNmzaFQqGAQqFASEgI9u3bp9tfVFSEyZMnw9nZGfb29hg4cCBSUlIqvEZ8fDz69OkDW1tbuLm5YebMmVCr1fo+FSIiIiK9Y1+KiIiIxGTURak6derg448/Rnh4OM6ePYtu3bqhX79+iIqKAgBMnz4du3btwrZt23D8+HEkJiZiwIABuudrNBr06dMHJSUlOHXqFDZt2oSNGzdi7ty5Yp0SERERkd6wL0VERERikgiCIIgdojo5OTnhf//7H1588UW4urpiy5YtePHFFwEAV65cQcOGDREWFoZ27dph3759eO6555CYmAh3d3cAwOrVqzFr1iykpaVBLpdX6pgqlQpKpRKrDyfCxl5RY+dGRERENa8wT4UJ3b2Qk5MDhcL8fq+zL0VERERPqrL9KaMeKXUvjUaDH3/8Efn5+QgJCUF4eDhKS0vRo0cPXZugoCD4+PggLCwMABAWFoYmTZroOlEAEBoaCpVKpfuE8EGKi4uhUqkqPIiIiIiMGftSREREpG9GX5SKjIyEvb09rKysMGHCBGzfvh3BwcFITk6GXC6Ho6Njhfbu7u5ITk4GACQnJ1foRJXvL9/3MIsXL4ZSqdQ9vL29q/ekiIiIiPSEfSkiIiISi9EXpRo0aICIiAj89ddfmDhxIkaNGoXo6OgaPebs2bORk5OjeyQkJNTo8YiIiIhqCvtSREREJBaZ2AGelFwuR926dQEArVq1wpkzZ7Bs2TIMHjwYJSUlyM7OrvAJX0pKCjw8PAAAHh4e+Pvvvyu8XvmKMuVtHsTKygpWVlbVfCZERERE+se+FBEREYnF6EdK/ZtWq0VxcTFatWoFS0tLHD58WLfv6tWriI+PR0hICAAgJCQEkZGRSE1N1bU5dOgQFAoFgoOD9Z6diIiISGzsSxEREZG+GPVIqdmzZ6N3797w8fFBbm4utmzZgmPHjuHAgQNQKpUYO3YsZsyYAScnJygUCkydOhUhISFo164dAKBXr14IDg7GiBEj8OmnnyI5ORlz5szB5MmT+ekdERERmTz2pYiIiEhMRl2USk1NxciRI5GUlASlUommTZviwIED6NmzJwBg6dKlkEqlGDhwIIqLixEaGoqVK1fqnm9hYYHdu3dj4sSJCAkJgZ2dHUaNGoWFCxeKdUpEREREesO+FBEREYlJIgiCIHYIY6dSqaBUKrH6cCJs7BVixyEiIqInUJinwoTuXsjJyYFCwd/r+sC+FBERkWmpbH/K5OaUIiIiIiIiIiIiw8eiFBERERERERER6R2LUkREREREREREpHcsShERERERERERkd6xKEVERERERERERHrHohQREREREREREekdi1JERERERERERKR3LEoREREREREREZHesShFRERERERERER6x6IUERERERERERHpHYtSRERERERERESkdyxKERERERERERGR3rEoRUREREREREREeseiFBERERERERER6R2LUkREREREREREpHcsShERERERERERkd6xKEVERERERERERHrHohQREREREREREekdi1JERERERERERKR3LEoREREREREREZHesShFRERERERERER6x6IUERERERERERHpHYtSRERERERERESkdyxKERERERERERGR3rEoRUREREREREREeseiFBERERERERER6R2LUkREREREREREpHcsShERERERERERkd6xKEVERERERERERHrHohQREREREREREekdi1JERERERERERKR3LEoREREREREREZHesShFRERERERERER6x6IUERERERERERHpnVEXpRYvXoynnnoKDg4OcHNzQ//+/XH16tUKbYqKijB58mQ4OzvD3t4eAwcOREpKSoU28fHx6NOnD2xtbeHm5oaZM2dCrVbr81SIiIiI9I59KSIiIhKTUReljh8/jsmTJ+P06dM4dOgQSktL0atXL+Tn5+vaTJ8+Hbt27cK2bdtw/PhxJCYmYsCAAbr9Go0Gffr0QUlJCU6dOoVNmzZh48aNmDt3rhinRERERKQ37EsRERGRmCSCIAhih6guaWlpcHNzw/Hjx9GpUyfk5OTA1dUVW7ZswYsvvggAuHLlCho2bIiwsDC0a9cO+/btw3PPPYfExES4u7sDAFavXo1Zs2YhLS0Ncrn8kcdVqVRQKpVYfTgRNvaKGj1HIiIiqlmFeSpM6O6FnJwcKBTm9XudfSkiIiKqDpXtT8n0mKnG5eTkAACcnJwAAOHh4SgtLUWPHj10bYKCguDj46PrSIWFhaFJkya6ThQAhIaGYuLEiYiKikKLFi3uO05xcTGKi4vvO+7kUF9IJJIaOTciIiLSj/LP60zoc7tKY1+KiIiIqkNl+1MmU5TSarWYNm0aOnTogMaNGwMAkpOTIZfL4ejoWKGtu7s7kpOTdW3u7USV7y/f9yCLFy/GggUL7tuuUZc+6WnVAoEnAAARtElEQVQQERGRgcjIyIBSqRQ7ht6wL0VERETVLTc39z/7UyZTlJo8eTIuXbqEEydO1PixZs+ejRkzZuh+zs7Ohq+vL+Lj482q82qoVCoVvL29kZCQYHa3XRgqXhPDwutheHhNDEtOTg58fHx0o4XMhZh9Ka1Wi8zMTDg7Oxv1SCn+WzY8vCaGh9fEsPB6GB5TuSaCICA3NxdeXl7/2c4kilJTpkzB7t278ccff6BOnTq67R4eHigpKUF2dnaFT/hSUlLg4eGha/P3339XeL3yFWXK2/yblZUVrKys7tuuVCqN+n8aU6NQKHg9DAyviWHh9TA8vCaGRSo16vVgqsQQ+lL/Ho1lzPhv2fDwmhgeXhPDwutheEzhmlRm0I5R97YEQcCUKVOwfft2HDlyBP7+/hX2t2rVCpaWljh8+LBu29WrVxEfH4+QkBAAQEhICCIjI5Gamqprc+jQISgUCgQHB+vnRIiIiIhEwL4UERERicmoR0pNnjwZW7ZswY4dO+Dg4KCbt0CpVMLGxgZKpRJjx47FjBkz4OTkBIVCgalTpyIkJATt2rUDAPTq1QvBwcEYMWIEPv30UyQnJ2POnDmYPHnyA0dDEREREZkK9qWIiIhITEZdlFq1ahUAoEuXLhW2b9iwAaNHjwYALF26FFKpFAMHDkRxcTFCQ0OxcuVKXVsLCwvs3r0bEydOREhICOzs7DBq1CgsXLiw0jmsrKwwb948drwMBK+H4eE1MSy8HoaH18SwmNP1MJS+lKkwp/93jAWvieHhNTEsvB6Gx9yuiUQwx/WOiYiIiIiIiIhIVEY9pxQRERERERERERknFqWIiIiIiIiIiEjvWJQiIiIiIiIiIiK9Y1GKiIiIiIiIiIj0jkWpSlqxYgX8/PxgbW2Ntm3b4u+///7P9tu2bUNQUBCsra3RpEkT7N27V09JzUNVrsfatWvx9NNPo1atWqhVqxZ69OjxyOtHVVfVfyPlfvzxR0gkEvTv379mA5qZql6P7OxsTJ48GZ6enrCyskL9+vX5vlXNqnpNvvjiCzRo0AA2Njbw9vbG9OnTUVRUpKe0pu2PP/5A37594eXlBYlEgt9+++2Rzzl27BhatmwJKysr1K1bFxs3bqzxnGSY+P5qePj+ajj4/mp4qnpNfv31V/Ts2ROurq5QKBQICQnBgQMH9BPWDDzOv5FyJ0+ehEwmQ/PmzWssnxhYlKqEn376CTNmzMC8efNw7tw5NGvWDKGhoUhNTX1g+1OnTmHo0KEYO3Yszp8/j/79+6N///64dOmSnpObpqpej2PHjmHo0KE4evQowsLC4O3tjV69euHOnTt6Tm66qnpNysXGxuKtt97C008/raek5qGq16OkpAQ9e/ZEbGwsfv75Z1y9ehVr165F7dq19ZzcdFX1mmzZsgXvvPMO5s2bh8uXL2PdunX46aef8O677+o5uWnKz89Hs2bNsGLFikq1v3XrFvr06YOuXbsiIiIC06ZNw7hx49hJN0N8fzU8fH81LHx/NTxVvSZ//PEHevbsib179yI8PBxdu3ZF3759cf78+RpOah6qej3KZWdnY+TIkejevXsNJRORQI/Upk0bYfLkybqfNRqN4OXlJSxevPiB7QcNGiT06dOnwra2bdsKr732Wo3mNBdVvR7/plarBQcHB2HTpk01FdHsPM41UavVQvv27YVvvvlGGDVqlNCvXz89JDUPVb0eq1atEgICAoSSkhJ9RTQ7Vb0mkydPFrp161Zh24wZM4QOHTrUaE5zBEDYvn37f7Z5++23hUaNGlXYNnjwYCE0NLQGk5Eh4vur4eH7q+Hi+6vhqcw1eZDg4GBhwYIF1R/IzFXlegwePFiYM2eOMG/ePKFZs2Y1mkvfOFLqEUpKShAeHo4ePXrotkmlUvTo0QNhYWEPfE5YWFiF9gAQGhr60PZUeY9zPf6toKAApaWlcHJyqqmYZuVxr8nChQvh5uaGsWPH6iOm2Xic67Fz506EhIRg8uTJcHd3R+PGjbFo0SJoNBp9xTZpj3NN2rdvj/DwcN0tKDExMdi7dy+effZZvWSmivh7nQC+vxoivr8aP76/Gj6tVovc3Fz+7SSiDRs2ICYmBvPmzRM7So2QiR3A0KWnp0Oj0cDd3b3Cdnd3d1y5cuWBz0lOTn5g++Tk5BrLaS4e53r826xZs+Dl5XXfL0B6PI9zTU6cOIF169YhIiJCDwnNy+Ncj5iYGBw5cgTDhg3D3r17cePGDUyaNAmlpaUm+8tPnx7nmrz88stIT09Hx44dIQgC1Go1JkyYwNtLRPKw3+sqlQqFhYWwsbERKRnpE99fDQ/fX40f318N32effYa8vDwMGjRI7Chm6fr163jnnXfw559/QiYzzfINR0qRWfn444/x448/Yvv27bC2thY7jlnKzc3FiBEjsHbtWri4uIgdh1D2CZibmxvWrFmDVq1aYfDgwXjvvfewevVqsaOZrWPHjmHRokVYuXIlzp07h19//RV79uzBBx98IHY0IqoCvr8aHr6/ElXeli1bsGDBAmzduhVubm5ixzE7Go0GL7/8MhYsWID69euLHafGmGaprRq5uLjAwsICKSkpFbanpKTAw8Pjgc/x8PCoUnuqvMe5HuU+++wzfPzxx/j999/RtGnTmoxpVqp6TW7evInY2Fj07dtXt02r1QIAZDIZrl69isDAwJoNbcIe59+Ip6cnLC0tYWFhodvWsGFDJCcno6SkBHK5vEYzm7rHuSbvv/8+RowYgXHjxgEAmjRpgvz8fIwfPx7vvfcepFJ+pqRPD/u9rlAo+Cm+GeH7q+Hh+6vx4/ur4frxxx8xbtw4bNu2jXeYiCQ3Nxdnz57F+fPnMWXKFABlfzcJggCZTIaDBw+iW7duIqd8cnzXfQS5XI5WrVrh8OHDum1arRaHDx9GSEjIA58TEhJSoT0AHDp06KHtqfIe53oAwKeffooPPvgA+/fvR+vWrfUR1WxU9ZoEBQUhMjISERERusfzzz+vW3XF29tbn/FNzuP8G+nQoQNu3LihKw4CwLVr1+Dp6ck/mKrB41yTgoKC+/4wKv+jVhCEmgtLD8Tf6wTw/dUQ8f3V+PH91TD98MMPeOWVV/DDDz+gT58+YscxWwqF4r6/myZMmIAGDRogIiICbdu2FTti9RB1mnUj8eOPPwpWVlbCxo0bhejoaGH8+PGCo6OjkJycLAiCIIwYMUJ45513dO1PnjwpyGQy4bPPPhMuX74szJs3T7C0tBQiIyPFOgWTUtXr8fHHHwtyuVz4+eefhaSkJN0jNzdXrFMwOVW9Jv/G1feqV1WvR3x8vODg4CBMmTJFuHr1qrB7927Bzc1N+PDDD8U6BZNT1Wsyb948wcHBQfjhhx+EmJgY4eDBg0JgYKAwaNAgsU7BpOTm5grnz58Xzp8/LwAQlixZIpw/f16Ii4sTBEEQ3nnnHWHEiBG69jExMYKtra0wc+ZM4fLly8KKFSsECwsLYf/+/WKdAomE76+Gh++vhoXvr4anqtfk+++/F2QymbBixYoKfztlZ2eLdQomparX499McfU9FqUqafny5YKPj48gl8uFNm3aCKdPn9bt69y5szBq1KgK7bdu3SrUr19fkMvlQqNGjYQ9e/boObFpq8r18PX1FQDc95g3b57+g5uwqv4buReLUtWvqtfj1KlTQtu2bQUrKyshICBA+OijjwS1Wq3n1KatKtektLRUmD9/vhAYGChYW1sL3t7ewqRJk4SsrCz9BzdBR48efeDvhfJrMGrUKKFz5873Pad58+aCXC4XAgIChA0bNug9NxkGvr8aHr6/Gg6+vxqeql6Tzp07/2d7ejKP82/kXqZYlJIIAsepEhERERERERGRfnFOKSIiIiIiIiIi0jsWpYiIiIiIiIiISO9YlCIiIiIiIiIiIr1jUYqIiIiIiIiIiPSORSkiIiIiIiIiItI7FqWIiIiIiIiIiEjvWJQiIiIiIiIiIiK9Y1GKiIiIiIiIiIj0jkUpIiIiIiIiIiLSOxaliIiIiIiIiIhI71iUIiIiIiIiohrVpUsXSCQSSCQSREREVPvrjx49Wvf6v/32W7W/PhHVDBaliIgqIT4+HqNGjYK7uztsbGzQrFkznDhxQuxYRERERDUiLCwMEokEffr0qbbXfPXVV5GUlITGjRtXqn3fvn3xzDPPPHDfn3/+CYlEgosXLwIAli1bhqSkpGrLSkT6waIUEdEjxMXFoU2bNigsLMTOnTtx8eJFTJkyBQqFQuxoRERERDVi3bp1GDp0KA4fPozExMRqeU1bW1t4eHhAJpNVqv3YsWNx6NAh3L59+759GzZsQOvWrdG0aVMAgFKphIeHR7XkJCL9YVGKiOgRJk6ciHbt2mHr1q1o27Yt6tWrh1dffVXXCSIiIiIyJXl5efjpp58wbdo0dO3aFRs3bqyw/8SJE7C0tERRUZFuW2xsLCQSCeLi4qp0LK1Wi8WLF8Pf3183Gv3nn38GADz33HNwdXW97/h5eXnYtm0bxo4d+1jnR0SGg0UpIqL/EBcXh3379mH+/PliRyEiIiLSi61bt8LDwwNt2rTBsGHDsH79egiCoNsfERGBhg0bwtraWrft/PnzqFWrFnx9fat0rMWLF2Pz5s1YvXo1oqKiMH36dAwfPhzHjx+HTCbDyJEjsXHjxgrH37ZtGzQaDYYOHfrkJ0tEomJRiojoP0REREAul6N58+ZiRyEiIiLSi3Xr1mHYsGEAgP79+yMpKQnHjx/X7b9w4QJatGhR4TkRERFo1qxZlY5TXFyMRYsWYf369QgNDUVAQABGjx6N4cOH4+uvvwYAjBkzBjdv3qxw/A0bNmDgwIFQKpWPe4pEZCBYlCIi+g+WlpZQq9UoKCgQOwoRERFRjbt69SpOnTqlK0rZ29ujX79+WLduna5NRETEfR/YnT9/vsof4t24cQMFBQXo2bMn7O3tdY/Nmzfj5s2bAICgoCC0b98e69ev1z3nzz//5K17RCaCRSkiov/Qtm1bKJVKTJw4EZcvX0Z0dDRWr16N69evix2NiIiIqNqtW7cOTz31FOrVq6fbNmzYMPzyyy/IycmBRqPBpUuX7hspde7cuSoXpfLy8gAAe/bsQUREhO4RHR2tm1cKKJvw/JdffkFubi42bNiAwMBAdO7c+fFPkogMBotSRET/wdnZGbt27cL169fx1FNPoWPHjti5cyfc3NzEjkZERERUrdRqNTZv3oyXX365wvZevXrB1tYWP/zwA65evYqioiJ4eXnp9oeFheHOnTtVLkoFBwfDysoK8fHxqFu3boWHt7e3rt2gQYMglUqxZcsWbN68GWPGjIFEInmicyUiw1C5tTiJiMxYhw4dcOrUKbFjEBEREdWo3bt3IyUlBY0bN8alS5cq7OvUqRPWrVsHhUIBAFi+fDlef/113LhxA6+//joAoKSkpErHc3BwwFtvvYXp06dDq9WiY8eOyMnJwcmTJ6FQKDBq1CgAZbcQDh48GLNnz4ZKpcLo0aOf/GSJyCCwKEVERERERES6eaN69uz50DY///wzQkNDERMTgyZNmiA4OBgLFizAxIkT8eWXX+Lbb7+t0jE/+OADuLq6YvHixYiJiYGjoyNatmyJd999t0K7sWPHYt26dXj22WcrjNIiIuMmEe5dW5OIiIiIiIjoIUJDQ/HUU0/hww8/rNLzunTpgubNm+OLL76omWB3SSQSbN++Hf3796/R4xBR9eCcUkRERERERFQpFy5cQJMmTR7ruStXroS9vT0iIyOrORUwYcIE2NvbV/vrElHN4kgpIiIiIiIieqTk5GR4enoiKioKwcHBVXrunTt3UFhYCADw8fGBXC6v1mypqalQqVQAAE9PT9jZ2VXr6xNRzWBRioiIiIiIiIiI9I637xERERERERERkd6xKEVERERERERERHrHohQREREREREREekdi1JERERERERERKR3LEoREREREREREZHesShFRERERERERER6x6IUERERERERERHpHYtSRERERERERESkdyxKERERERERERGR3rEoRUREREREREREevd/npIw34sQI3wAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_T = ldc.calc_phase_diagram(phases, np.linspace(100, 1000, 40), mu=0.0, keep_unstable=True)\n", "df_mu = ldc.calc_phase_diagram(phases, Ts=800.0, mu=100, keep_unstable=True)\n", "df_cT = ldc.calc_phase_diagram(phases, np.linspace(200, 1000, 50), mu=100)\n", "df_muT = ldc.calc_phase_diagram(phases, np.linspace(200, 1000, 80), mu=np.linspace(0.5, 1.5, 80))\n", "\n", "fig, axes = plt.subplots(2, 2, figsize=(12, 9))\n", "lpl.plot_1d_T_phase_diagram(df_T, ax=axes[0, 0], show=False)\n", "axes[0, 0].set_title(\"plot_1d_T_phase_diagram\")\n", "lpl.plot_1d_mu_phase_diagram(df_mu, ax=axes[0, 1], show=False)\n", "axes[0, 1].set_title(\"plot_1d_mu_phase_diagram\")\n", "lpl.plot_phase_diagram(df_cT, ax=axes[1, 0], tielines=True)\n", "axes[1, 0].set_title(\"plot_phase_diagram\")\n", "lpl.plot_mu_phase_diagram(df_muT, ax=axes[1, 1])\n", "axes[1, 1].set_title(\"plot_mu_phase_diagram\")\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "36f28ea7", "metadata": {}, "source": [ "## 1D temperature scan\n", "\n", "`plot_1d_T_phase_diagram` draws the semi-grand potential of every phase along a\n", "temperature cut at fixed chemical potential difference. The stable phase is\n", "solid, metastable branches are dashed; transitions are ticked on the top spine\n", "and each branch is labelled at its right end. Pass `keep_unstable=True` to\n", "`calc_phase_diagram` to retain the metastable branches." ] }, { "cell_type": "code", "execution_count": 4, "id": "fb446cab", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:39.062039Z", "iopub.status.busy": "2026-06-07T16:23:39.061732Z", "iopub.status.idle": "2026-06-07T16:23:39.509867Z", "shell.execute_reply": "2026-06-07T16:23:39.508582Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_T = ldc.calc_phase_diagram(phases, np.linspace(100, 1000, 40), mu=0.0, keep_unstable=True)\n", "lpl.plot_1d_T_phase_diagram(df_T)" ] }, { "cell_type": "markdown", "id": "e3569316", "metadata": {}, "source": [ "`reference_phase` subtracts that phase's potential along the cut, which spreads\n", "out the small differences near the transitions." ] }, { "cell_type": "code", "execution_count": 5, "id": "a2fc3990", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:39.512364Z", "iopub.status.busy": "2026-06-07T16:23:39.512133Z", "iopub.status.idle": "2026-06-07T16:23:39.801839Z", "shell.execute_reply": "2026-06-07T16:23:39.800404Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lpl.plot_1d_T_phase_diagram(df_T, reference_phase=\"hcp\")" ] }, { "cell_type": "markdown", "id": "432a9b4b", "metadata": {}, "source": [ "## 1D chemical-potential scan\n", "\n", "`plot_1d_mu_phase_diagram` is the isothermal analogue: the semi-grand potential\n", "along a chemical-potential cut at fixed temperature. Here T = 800 K, where all\n", "three phases are stable over part of the range." ] }, { "cell_type": "code", "execution_count": 6, "id": "0e1a6db2", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:39.804266Z", "iopub.status.busy": "2026-06-07T16:23:39.804051Z", "iopub.status.idle": "2026-06-07T16:23:40.182246Z", "shell.execute_reply": "2026-06-07T16:23:40.180877Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_mu = ldc.calc_phase_diagram(phases, Ts=800.0, mu=100, keep_unstable=True)\n", "lpl.plot_1d_mu_phase_diagram(df_mu)" ] }, { "cell_type": "code", "execution_count": 7, "id": "9c973add", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:40.184655Z", "iopub.status.busy": "2026-06-07T16:23:40.184426Z", "iopub.status.idle": "2026-06-07T16:23:40.486734Z", "shell.execute_reply": "2026-06-07T16:23:40.485283Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lpl.plot_1d_mu_phase_diagram(df_mu, reference_phase=\"hcp\")" ] }, { "cell_type": "markdown", "id": "33aab001", "metadata": {}, "source": [ "## 2D concentration–temperature diagram\n", "\n", "`plot_phase_diagram` fills each stable phase region as a polygon in\n", "concentration–temperature space. `tielines=True` overlays the two-phase\n", "coexistence tielines. `poly_method` selects the polygon-construction strategy;\n", "the default depends on which optional extras are installed." ] }, { "cell_type": "code", "execution_count": 8, "id": "b5e4cb97", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:40.489141Z", "iopub.status.busy": "2026-06-07T16:23:40.488917Z", "iopub.status.idle": "2026-06-07T16:23:53.337405Z", "shell.execute_reply": "2026-06-07T16:23:53.336226Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_cT = ldc.calc_phase_diagram(phases, np.linspace(200, 1000, 50), mu=100)\n", "fig, ax = plt.subplots(figsize=(6, 5))\n", "lpl.plot_phase_diagram(df_cT, ax=ax, tielines=True)" ] }, { "cell_type": "markdown", "id": "0aafeb51", "metadata": {}, "source": [ "Same diagram without tielines." ] }, { "cell_type": "code", "execution_count": 9, "id": "4e96c8c5", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:53.339908Z", "iopub.status.busy": "2026-06-07T16:23:53.339650Z", "iopub.status.idle": "2026-06-07T16:23:53.857748Z", "shell.execute_reply": "2026-06-07T16:23:53.856438Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 5))\n", "lpl.plot_phase_diagram(df_cT, ax=ax, tielines=False)" ] }, { "cell_type": "markdown", "id": "5a96bc5e", "metadata": {}, "source": [ "## 2D chemical-potential–temperature diagram\n", "\n", "`plot_mu_phase_diagram` plots the same equilibria in chemical-potential–\n", "temperature space, where the two-phase regions collapse to lines. Sample both\n", "axes so the refiner has a 2D grid to work with." ] }, { "cell_type": "code", "execution_count": 10, "id": "fa5456eb", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:23:53.860321Z", "iopub.status.busy": "2026-06-07T16:23:53.860087Z", "iopub.status.idle": "2026-06-07T16:24:08.855939Z", "shell.execute_reply": "2026-06-07T16:24:08.854909Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_muT = ldc.calc_phase_diagram(phases, np.linspace(200, 1000, 80), mu=np.linspace(0.5, 1.5, 80))\n", "fig, ax = plt.subplots(figsize=(6, 5))\n", "lpl.plot_mu_phase_diagram(df_muT, ax=ax)" ] }, { "cell_type": "markdown", "id": "d6a75dfd", "metadata": {}, "source": [ "## Excess free energy\n", "\n", "`plot_excess_free_energy` draws the excess free energy versus concentration,\n", "one facet per temperature, from a `keep_unstable=True` frame concatenated over\n", "several temperatures. With `convex_hull=True` the stable phases are solid, the\n", "metastable parts faded, and the common-tangent segments overlaid in black." ] }, { "cell_type": "code", "execution_count": 11, "id": "dc36a531", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:24:08.858336Z", "iopub.status.busy": "2026-06-07T16:24:08.858108Z", "iopub.status.idle": "2026-06-07T16:24:09.965513Z", "shell.execute_reply": "2026-06-07T16:24:09.964314Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_excess = pd.concat(\n", " [ldc.calc_phase_diagram(phases, Ts=T, mu=200, keep_unstable=True) for T in [400, 700, 1000]],\n", " ignore_index=True,\n", ")\n", "lpl.plot_excess_free_energy(df_excess, convex_hull=True)" ] }, { "cell_type": "markdown", "id": "1d9baf61", "metadata": {}, "source": [ "## Building polygons by hand\n", "\n", "`plot_phase_diagram` is a thin wrapper over `get_polygons` + `plot_polygons`.\n", "Calling them directly gives control over the colour map (via\n", "`get_phase_colors`) and the axes, which is useful when overlaying a phase\n", "diagram on other artists." ] }, { "cell_type": "code", "execution_count": 12, "id": "ab5746f3", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T16:24:09.967938Z", "iopub.status.busy": "2026-06-07T16:24:09.967673Z", "iopub.status.idle": "2026-06-07T16:24:10.463132Z", "shell.execute_reply": "2026-06-07T16:24:10.461809Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "polys = lpl.get_polygons(df_cT)\n", "colors = lpl.get_phase_colors(df_cT[\"phase\"].unique())\n", "\n", "fig, ax = plt.subplots(figsize=(6, 5))\n", "lpl.plot_polygons(polys, colors, ax=ax)\n", "ax.autoscale()\n", "ax.set_xlabel(\"$c$\")\n", "ax.set_ylabel(\"$T$ [K]\")\n", "ax.legend()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 5 }