{
  "schemaVersion": 1,
  "lessonId": "optimization-08",
  "contentHash": "dabbf2599d986824d9d48912adf8a7ae87c89a4062fd291d1111a54b3405ce50",
  "executedAt": "2026-10-20T10:45:46.372064+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "final weights / loss: [ 0.12157664 -0.        ] 0.0073904395\nfinal weights / loss: [ 0.12157664 -0.        ] 0.0073904395\nPASS: optimization-08\n",
  "notebookCells": [
    {
      "sourceHash": "9e2a12e714e0802f8ecc5e213d5ebddc5b6efee2a694ef9fd96015ceb0df3e27",
      "outputs": []
    },
    {
      "sourceHash": "071c99be7af0e5c2e3662b0d66f33fa501dc9268a75a079bf2d7da626748f130",
      "outputs": []
    },
    {
      "sourceHash": "8da49615f3e2ed315e2f0e4cc3b1b6399142921aa7a2538f3cc2a27784dc64c6",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "final weights / loss: [ 0.12157664 -0.        ] 0.0073904395\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "96806eee32057aade7b5d59b50f7c82b428a45f41b073c43c215c9bea81d2a40",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "final weights / loss: [ 0.12157664 -0.        ] 0.0073904395\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "aa9c0e70a0804ea2dccf196994f53f5d7e3067d6c6b5d4777cbc73e7cda47f5a",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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0dPlFN5tTvmoHB5qrIxnTwA4dOKLmLZvqsisuLtT1du3Yq9fGT8p9bizhbXh1/CR5ep4tGmjZupmeHTdWFVmlqIApTc7Ozvrzzz81depUM8AxVkYyqmAaNWqk+++/32zCO2zYMFVX51fAxKWkKiM7y2y827i1r8Uxo+rt81fWadfGks2FBAAAAIDS0LFzO/30x1e68dar5ermohVLQ80+LIZbb79e3Xp2tjj/rvtu1dMvPKJ69eto0/qt2rp5h7r37KRvf55s9pSxxbQo/1q+udOFLhqR99QoIzyZ/sOnZq+YqMhoLVvyj+LjEzT2qQf0ylvP53v90Y/erZv+d4359oL5S/T7z3P015zFFr8PT546yQyTjFDJuB8xp2L1wMN3FnjdCzGu+/5nr+nVt18wg6ujR45p0YLl5v0zQiwjUHr51acKfb3EhERt27Izd0tKSjb3G0FOzr6D+62LNioau+z8JovBpkJCQsxHo+lvZTJj4xbd89ufFvt2PzZaDWrUUEJcql4fs1wnjliWs7m6O+rJ9/qpQbMaZTxaAAAAoHrbvftsw8aWLVuW91CAKmO3jb6uqn0FDIo2BckQmXC2y7mnj4vGvtlbNWu5WRxPScrQe0+tUuTxBG4vAAAAAAAEMCjqFKRzAxiDb4C7GcK4ezlZnHMmNlXvPrlKcTH/LWENAAAAAEB1RQUMLrgM9fkiEiwrW4IbemvMa73k7OJgsT8qPFHvPb1KyYnp3GUAAAAAQLVGAIMC1fJwL7ACJkfTNn66b1x32dvbWew/ui9OH72wWulpRV8/HgAAAACAqoIABgVycnCQv7tlCBORRwBj6BBSW6OesOwabti9KUqfv7peWZn0ewYAAAAAVE8EMCjUNCQHezsFeXmqY+0g1c6jMW+O3hc30DX3tLXav2HZcX334Rax6BYAAAAAoDpyLO8BoOJbcvcoeTo7W00vys/FNzTTmdgU/T1zv+V1/jgo75ouGnlbq1IaKQAAAAAAFRMVMLggb1eXQocvBjs7O117Xzv1HFrP6tgfU3dp6ayD3HUAAAAAQLVCAIPS+Ydlb6fbn+yitt0DrY598/5mbVh+nDsPAAAAAKg2CGBQahwd7XX/Sz3UqGVNi/3ZWdKUieu0e3MUdx8AAAAAUC0QwKBUubo5aszrvRRUz7Jxb0Z6lj56PlRH95/mMwAAAAAAqPIIYFDqvHxc9OibfVTT39Vif3Jiht57apWiwvNe1hoAAAAAgKqCAAZFkp6ZqeNnzuhMSmqRXucf5K5H3uwtd08ni/1xMal698mV5qpJAAAAAABUVQQwuKBTSUnq8uFk1X3tHXm/9JqavvWBftm+s8h3rm4jHz38ai85OVv+s4s8nqj3nvpHyUnpfDYAAAAAAFWSY3kPABWft4uLdkZaNsyNTCjetKFm7fx037ge+viF1crKys7df2TfaXPfmNeMgMahxGMGAAAAAFQNhw8e1T8r12r71l3asW23wo4eV3Z2tj6f9p669uhU4GtPRcdo8sdTtWJpqE5Fx8rPv6b6DgjRfaNvl6+f5YIxpY0KGFyQk4OD/NzdLPZFJBa/b0vHXrV12+PWXyS7Nkbpy9fWKyvzv2AGAAAAAFA8nVr21yWDrq/0t2/mD3/orVc/1LzZC3X0yDEzfCmM8OMndcOVd2nm93/Izc1VA4f0MR+N5zdedbdOnohUWSKAQaEEeHjYpAImR5/hDXX13W2s9q9belzff7Sl0F9QAAAAAICqrWnzxhp11416872X9OeC79WuQ+tCve7l595QdNQpXXPDSP0yZ7remPSS+Wg8j4yI0vjn31RZYgoSCiXA00O7oqJzn0ckJJT4zg2/sbnOxKZqwc/7LfYv/v2gvH1dddmtLfnsAAAAAEA1d+U1I4r8ml079mrt6o2qUcNHjz8zWnZ2duZ+49F4vnD+MoWuWqc9u/erRcumKgtUwKBQAj09bVoBk/MP/7r726nH4HpWx37/aqeWzT7EZwcAAACo4Izq9ZWHj2rGxi3mY0WvZo+KPKVJb36qqy+9TSGdLlKfLsN1zWWj9PZrH5lTVnLM+nWeOYXnsw+/zvM6xn7juHHeuV58+jVz//o1m7T6n/W6/47H1L/HpeY+o3/J4N5XqEvrgYo4mff0l/T0DA3sOVJd2wwyqzcMWVlZ5vSbZx+foCsuvkW9O19sjv3ay0aZ40hOSra4Rs7YDSfCT5pv52znTkm669Yx5r7wYyfyHItxbs51zpVzHWOsX342w7yXPTsM1fVX3Jl7TmZmpn796U/dftNo9e02wjxunPf5p9OVUsRVdYtj+ZJ/zMf+g3rJxcXF4pjx3NhvWLpopcoKFTAodAWMrQMYg729ne54qosS4lK1Y73lN6AZkzbJy8dZnfvW4bMEAAAA2NCqI0dL9Po63l5qWLOmjpw+reu/naktJyNyj7UJrKVnB/RVoJflH3GLom1ggHxcXWVrWzfv0Jj7ntHp03Hyr+WnXn26mfvDjhzXt9NmqnmLJhp51XCbvK/5cxebAUTzlk3Uq093M3BxcnbSxSMG67vpP5uByqi7brJ63crlq83x9erb3RyjISU5xQxfvH281KhxA7Vo1VSJiUnauX2P2WB2+dJQffXth3J1PRs01GtQR5ddcbH+/H2+3NzdNGTYfyFKjZo+Nvn4srOz9Njo57V29QZ16dZRTZs1Unr62ZVtU1NT9cj9z5oBlKeXp1q3bSEPDzdzvJ+8/6VWLlutyVMn5Y63NOzZvc98bNWmRZ7HW7Zurj9+nae9uw+orBDAoFgBzOmUFKWkZ8jVqeT/hByd7PXA+J56e+wKHdodm7s/O0uaPGGdxr7lohYd/PlMAQAAADYy5IvpJXr9mN499dpFg63CF8OOiCjd/OOvJbr+X3fcon6NGsqW4uMTNHb082a4cee9t+je0bfL6ZzfZ4yVdrJlu+qdX36cpZdffdoq0BkxcpgZwMz54+88Axhjv+HSyy/K3efk5KR3Ppygvv1DzBAnh1FJ8vr4SWaQYFzzjntuNvd36tLe3IwAxpiCM/71Z2RrRgNbe3t7/TpnuoLr1rY49t5bn5nhS78BIXr5tWdyQ5+0tDS9Mu4dzfptvqZ8PE0PP3aPSsuJ8LP/LgOCauV5PPDf/TnnlQWmIKFQAs8LYAyRJVgJ6Xyubo7mEtSB9SxT8oz0LH34XKjCDsTZ7H0BAAAAKLlVR8KswpeK7LefZptLEhvVKKMfvdsifDE0bFzfrC6xFeP95FVNY1SDNG7aUPv3HdKeXWerNHLEn4k3l0v28HDXwCF9c/cbocugof0swheDUUHy1AuPyNHRQYv+Xqay9tDYe6zCl5iY0/rlxz9V07eGJr71vEXFjbOzs55+8VH5+fua1UHG1KrSkpR4dlqWsepRXozKoLPnJamsUAGDYvWAyZmGVL+GbcrXDF41XDT2zd567aFlOh2dkrs/OTFdk55cqWc+GqBata2DIAAAAABl71DMf9XrlYFRkWG4/GrbTDG6kAFD+uR7zKiC+fDdKZr9x99q0apZ7v6/5y0xq0SGXzo4z+k5Bw8cVujKdQo7etyclpSVdbZix9HJSUcPH1NZGzDY+mPcsHaTORWpe8/O8spjGpqbm6tat2mhFctCzTEbwVd1QQCDYk1BstVKSOfzD/LQo2/01usPLzeDlxxxMama9OQqPf1BP3nXtP1cUAAAAABF08i3ZqW6ZSdPnK3WadDQehGQ0lA7ODDfY5dcNlQfv/eF5s9ZqEeeuE8ODg7m/jmzrKcfGTIyMjRx3Dv645e5qih8/WrmGRId/7eh719zF5tbQU6fLr2ZDu4eZytckpP/++P+uXIaF7t7uKusEMCg2AGMrRrxnq9uYx89/GqI3n1ipdLT/itJiziWoPef+UePv9tXbu6WpXcAAAAACm/hXf8rcRPeBjVqqENQYJ7TkJr41dRnV1yau/RvcZrwVnRZRtPKAriet/LOuYJqB6hr947mMslr/tlgNtw1govNG7crKDhQXbp3tDj/u2k/m+GLMXXp4bH3qHXblubUnpxpVEP7XpW7YpItGY1283P+ykI5cqpymjRrZFa6FMSnhrdKMwDbvXOfIk9G5Xk84t/9BQVltkYAg0IJ8Ci7AMbQvL2/7n2huz4et9psxpvj8J7T+uTFNWa/GKN5LwAAAICi693ANtM+frz5WqtGvEYoY+w3ApqKJKh2oA4dPKojh8Mspv3kJyfcMFYbysvJ8LyXkS4sYxqSEcAYVS9GAGM8Gkt4j7hsqFVwtfDf/i5vvDtOTZs3tqrkMHrbFEdBH6NRdVOcUMcIlwxt2rYwG/CWlxYtm2nJwpXatWNPnsd379xrPhqrVJUVfoNFoTg5OMjX7WwJV44IGzbhzUunPsH639hOVvt3bojUl6+vz01WAQAAAJQPI2QJfeAuLbjzf5py5WXmo/G8ooUvhp69upqPxgo8hVEr4OxKrEcOhVkdM/q0rF+7uUTjGTysv1zdXLVk0UqzEezcWQvynH5kiDt9xnwM/DfcOJexnLUR3OTF0clRmZmZF/wYD+fxMa4N3aiMjPxfm59uPTqbTYH/WbnWXKWpvPQb2Mt8XLb4H3NZ7HMZz439+fWxKS0EMCj2SkgR8bbvAXO+fiMa6ao7W1vtX7v4mH74eGu+32gAAAAAlA2jWqNPw/q6tXMH87G4045K25XXjjD7lqxavkaffPClWeFxLiNoOXTwSO7zNu1amivlGEHC5o3bLMKXNya8rxPhJ0s0Hg9Pdw0c3MesYPngnSlmZY7xPvNqSpuz74dvLJf33rFttz589/N830etWv6KORWjM3HxeR7v2uPsH7ynffm9EhOSLJbkfmPi+8X6uGoF+Omq6y5TdFSMnhwzThEnrSuFIk5Gmktkl6ZWbZqbjYCNPjNvv/ZR7u+OxqPx3Ngf0rubWrRsqrLCFCQUqQ/MrqjoUlmGuiCX3NzCbMK76LcDFvsX/XpAPr6uGnFzwfMKAQAAAMDL20vvfDhBY+5/Rp9/Ml2//zxX7Tu2MX8hDztyTPv2HtTLrz6duxS1Eb7ccc/NZrPcu297RJ27djBX8Nm5fY+5fPLlVw3XH7/OK9GNHXH5MLOC5cfvfsu3+sVw+903m0HQJ+9/qYV/LVOjxvUVFXnKDIaGDR+oLZt25BkIDRzSR99N/1k3XHmXOnZuKxdXF7N3zJjH7jWPXzxikGZ89YMZ5Fwx/BbzfpyOjdOObbvMZbDT0zOKFTQ99vSDOnE8wlzp6PKLbjanfNUODjRXRzKmgR06cETNWzbVZVdcXKjr7dqxV6+Nn5T7/MC+Q+bjq+MnyfPfQoGWrZvp2XFjLV437pWndNsND+jnH2Zpw7otataiifbtOWC+f6P658WJT6osEcCg0C5q3lSNfWuaQUyAp6ea+vmWyd0zEvQbRrdXfFyqWflyrl+/2CHvGi7qO6JhmYwFAAAAQOXVsXM7/fTHV5r25Q9auXy1ViwNlbOLs2rXDtCtt1+vbj07W5x/1323mkspGwHJpvVb5enloV59uumhsffot5lzbDItyr+Wr1ktYkwXumjEoHzG3VbTf/hUH733uRlGHD1yTPXq19HYpx7QjbderUuH3Jjn60Y/erf5aPRCWTB/iTmlqHZwUG4A4+zsrMlTJ+mDdyZrxbKz96NO3dp64OE7dcvt1+V73Qsxrvv+Z69p/pxF+vO3+dq1c6927tijGjW8FRBYywyUhg0fUOjrJSYkatuWnVb7jSDl3Pd5vuA6Qfrhty/02Udfmx/bkgUr5OtXQ9fcMFL3P3SHWRFVluyymcNRJkJCQszH0NDQsnmHVVBGepa5CpLRA+ZcdvbS6PE91bF3cLmNDQAAAKgIdu/ebT62bNmyvIcCVBm7bfR1RQ8YVBrGqkcPjO+hhi0sG3oZqyR9Nn6t9m79b3oUAAAAAAAVCQEMKhU3dydzCerAup4W+9PTsvTBs6E6djCu3MYGAAAAAEB+CGBQ6XjXdNWjb/aWj6+Lxf7kxHS9++QqRZ8sm+bAAAAAAAAUFgEMKqVatT306Jt95OZh2Uc67lSKGcLEny6/9eYBAAAAADgfAQwqrXpNfPTQK73M3jDnighLMJv1piRnlNvYAAAAAAA4FwEMimT9sXDN2b1XX63fqNeXrtCCfQfK9Q626OCve1/sbq6EdK5Du2P1yYurzZWTAAAAAAAob5bzN4ALuGLG9zqVlJz7/P6e3TS0WZNyvW+d+wTr1kc7afo7myz271gfqTfGLNfV97Qxgxo7O7tyGyMAAAAAoHqjAgZFEuDhYfE8MqFiNLztf2kjXXFHa6v9B3fF6K1HV+jlexYr+mRSuYwNAAAAKCvGHx2zs7PNDUDJ5Xw92eIP+gQwKJIAz/MDmIQKcwcvvaWFBl7eKM9jYfvj9NELofxHBAAAgCrNxeXsSqGJiRXjD6VAZZf479dSztdWSRDAoEQBTEQFqYAxGIlk1wF18z1uhDB7t0aX6ZgAAACAsuTl5WU+njx5UgkJCfwBEigmo+rF+BoyvpYM3t7eKil6wKBIAj09K+QUpBwXmmY07/u9at6efjAAAACommrWrGn+xd7YwsLCzH30QgSK7txpfB4eHqpRo4ZKigoYlKgC5nRKilIzKs5yzwHBluM737Y1Efp58nb+EgAAAIAqyd7eXnXr1lVgYKDc3NzM5wCKzvjaMb6GjK8l42vKFl9LVMCgSALPC2BypiHVr+FTIe5ks3Z+qtfUx5xulJ/5P+5TVrZ03X1t+WsAAAAAqhzjF0VfX19zA1BxEIeiSALOm4JU0aYhGeWVoyeEmCFMQf7+aZ9+/GQblTAAAAAAgDJBBQxKtAy1IbKCdVj3D3LXuCmDtG/bKUWGJ6qmn6tmf7tbe7ecsjhvwc/7lZWVrRtHt6cSBgAAAABQqghgUCSBXnkEMBVoKepzK2GMZrvGZmjazk8fPBuq3ZuiLM5b9OsBswrmpoc6EMIAAAAAAEoNU5BQ4gqYiPiKVQGTFxdXRz38aohada5ldWzxbwf1zXubzWoYAAAAAABKAwEMisTJwUG+bm4W+yIq2BSkgkOYXmrdNcDq2NJZh/Tt+4QwAAAAAIDSQQCDEi9FXZGa8F6Is4uDHpoYorbd8g5hZry7iUoYAAAAAIDNEcCgxEtRR1TAHjAXCmFGGyFM90CrY8vnHNb0dzYSwgAAAAAAbIoABtWqAiaHk7ODRk/oqXY9rEOYFXOPaOpbhDAAAAAAANshgEGRBXh6WjxPSEurlHfRCGEeHN9THUKCrI6tmn9EX7+5QVmZNOYFAAAAAJScXbaxBi9KXUhIiPkYGhpa6e/2vuhTik5KUpCnp1kN4+HsrMosPS1Tn728Vpv/OWF1LGRofd3xVBfZO9iVy9gAAAAAAFUDFTAosmb+fgqpX0+NfGtW+vAlpxLm/pd6qFOf2lbHQhcc1Zevr1dmZla5jA0AAAAAUDUQwACSHJ3sdd+4HurcN9jqfqxeGKYvXyWEAQAAAAAUHwEM8C9HR3vd+2J3delfx+qerFl8TJ+/QggDAAAAACgeAhjgvBDmnue7qdsA6xBm3ZJjmjJhnTIymI4EAAAAACgaAhggjxDm7ue7qfugulb3Zv2y45oyYS0hDAAAAACgSAhggDw4ONjrrme7qsfgelbHNiwP1+Txa5WRTiUMAAAAAKBwHAt5HmDhtSUrtOnESUUmJCoiIUF9G9bXlKtGVr0Q5pmusrOXVi8Iszi2cUW4Pn15je4f18Ns4AsAAAAAQEH4zRHFsuzQYf25a4/WhB3T4djT5lYV2TvY6c6nuipkaH2rY5tXndAnL61WelpmuYwNAAAAAFB5EMCgWAI8PSyeG5UwVZURwtzxVBf1vtg6hNnyz0l9Mm4NIQwAAAAAoEAEMCiWAE9Pi+eRiVU3gMkJYUY90UV9hjewOrZ19Ul9/CKVMAAAAACA/BHAoFgCPSwrYGKTU5SakVGl76a9vZ1ue7yz+o5oaHVs25oIffQCIQwAAAAAIG8EMCiWQC/LAKY6VMHkhDD/G9tJ/S+1DmG2r43Qh8+FKi2VnjAAAAAAAEsEMLDJFKSq3gfm/BDmlkc7acDIRlbHdqyPNEOY1JSqXQ0EAAAAACgaAhgUS8B5U5CqUwCTG8I80lEDL29sdWznhkh98CwhDAAAAADgPwQwsMkqSIaIhIRqdTft7Ox085gOGnxlE6tjuzdFnQ1hkqmEAQAAAAAQwKCYqnsFzLkhzI0PtdeQq/MOYd5/5h+lEMIAAAAAQLVHBQyKxdnRQb5ubhb7IqphAJMTwtzwYHsNvaap1bE9W6L13tOrCGEAAAAAoJojgIHNpiFVxwqYc0OY6x9op2HXNbM6tm/rKb331ColJ6WXy9gAAAAAAOWPAAY2C2CqWw+YvEKY6+5rq4uvzyOE2XZK7z25SsmJhDAAAAAAUB0RwKDYAqmAyTOEuebetrrkpuZWx/bviNG7T65SUgIhDAAAAABUNwQwKLYAT0+L55GJ1XcK0vkhzFV3tdGIm1tYHTu4M0aTnlxJCAMAAAAA1QwBDIot8LyVkGKTU5SawbLLOSHMlXe21qW35hHC7IrVu08YIUwa//oAAAAAoJpwLO8BoPKqX9NHzf39zF4wxrLUgV6eSs/Mkgv/qnJDmCtuby17ezvNmrbb4t4d2h2rdx5fqbFv9ZGHl3P5fAIBAAAAAGXGLjs7O7vs3l31FRISYj6GhoaW91BQDv6Ytkuzpu6y2t+gWQ2NfbuPPL0JYQAAAACgKmMKElAGLr+tla64o7XV/iP7Tuvtx1YoIS6VzwMAAAAAVGEEMEAZuezWlrrqTusQJmx/nN5+bKXiCWEAAAAAoMoigAHK0IhbWurqu9tY7Q87EKe3x65U/GkqYQAAAACgKiKAAcrYJTe10LX3trXaf+xgnN4au0JnYlP4nAAAAABAFUMAA5SDi29oruvub2e1//ihM3pr7ErFxRDCAAAAAEBVUmkCmMTERE2cOFEdO3aUl5eXuRlvT5gwwTxWEhs2bNCdd96p5s2by8PDQ87OzgoODtYll1yiGTNmKCsry2YfR1VjLKIVm5ysPVHRWnHoiJYePFTeQ6o0Lrquma5/wDqECT98Rq88sEQLft6vvVujzXsMAAAAAKjcKsUy1GFhYRo4cKAOHDhgPndzczN/KU1JOVsl0KRJEy1ZskT16tUr8rVff/11Pffcc7khi5OTk1xdXRUfH597Tr9+/TR79mwz9CmuqroM9e0zf9cPW7fnPm/h76fNY+4v1zFVNkbQ8sPHW/M9Xq+pj0ZPCJF/kHuZjgsAAAAAUI0qYDIzMzVy5EgzfAkMDNTcuXPNipekpCTNmTNHAQEB5jHjnKJWqixdulTPPPOM+bo+ffpo3bp1Zqhz5swZnTx5Uk8//bR53vLly83zYM3PwzIUiCxhNVJ1NPSaprrp4Q75HjdWSfrohVAqYQAAAACgEqvwAcz06dO1efNm8+2ZM2dq+PDhsrOzMzdjitDPP/9sHjPOMc4t6rUNnp6eZoVL165dZW9/9pYYYc9rr72mm2++2Xz+448/2vgjqxoCPTwsnscmpyg1I6PcxlNZDb6yiYZe3aTAEGbftlNlOiYAAAAAQDUKYKZOnWo+9u/fX3379rU6buzL2T9t2rQiXTs8PNx8NHq/+Pj45HlO9+7dzceS9pmpqgI8LQMYA1UwxVO3aY0Cj29ccfbfKwAAAACg8qnQAUxycrJWrlxpvm1Uu+RnxIgR5uOKFSvM1xRW48aNzce9e/cqLi4uz3PWrl1rPnbp0qVIY68uAr08rfZFJhBWFUdAsHWYda6Fv+zXynmHi3VtAAAAAED5qtABzK5du3L7urRt2zbf83KOGf1idu/eXejr33fffXJwcFBCQoIuvfRSrV+/Pvf9RUZGmn1fvv32W7Pp71tvvVXij6cqCjhvCpKBAKZ4mrXzMxvu5sdol/31mxv154zd9IMBAAAAgEqmQgcwx48fz327bt26+Z537rGcaUWF0b59e7O3i7e3t1lp061bN3MFJOO50QPm3Xff1ZVXXqnVq1erZ8+eJfhIqtkUJCpgisXoa2SsdlRQCGP4/aud+ua9zcrKrPALmAEAAAAA/uWoCuzcpaDd3fNfgvfcY8YKRkVx9dVXq379+rrlllvMqUjp6enmZsjIyDCrY2JiYoq83PT5tm/frlatWll8TFWBW7b1ylNHT52qch9nWXHxkMa+000Hd55W9MlkOTraac43+xUTcXbJ9RxLZx1SdESC/vd4Ozm7OJTbeAEAAAAAlry8vFTpKmBKmzFl6bHHHjMb7Rpv//TTTzp27JgZ4hi9X4xwZsGCBRoyZIhmzJhR3sOtkJwdHFTT1dViX1RS4fvwIO9KmCZtaqrH4GB16V9bj77ZXfWaeludt31NlD55YYMSz6RxGwEAAACggnOsLKlRUlJSvuede8yYPlRY7733njnNKDg42AxcfH19c48Z05GMQMboEzN58mQ9/PDDZiNgPz+/Aq8ZGhpaYGVMfklYZW/EG5vyX4VGbGpalfw4y4txL5/+YIA+fWmNtq+NsDh2eHecPnxmgx59s7f8gwpu4gsAAAAAKD8VugKmTp06efaDOZ9RtZLDCFMKK6ex7u23324Rvpzr8ccfNx9Pnz6tRYsWFfra1bkPDMtQ256rm6MeeiVEvS+ub3XsZFiCXn1wqY7uP10K7xkAAAAAUOUDGKNnir392SFu27Yt3/OM/ioGY0Wjli1bFurap06dUkTE2WqCBg0a5HveuccOHTpU6LFX55WQaMJbOhwd7XX7k1004pYWVsfiYlL1xpjl2rkhspTeOwAAAACgygYwxvLPffr0Md+eO3duvuflHOvbt6/5msIwwpocJ06cyPe8cytvijK9qToxpiCdKyIhodzGUh36w1x1Zxvd8khH2Z331ZuSlKH3nlql1QuOltfwAAAAAACVMYAxjBo1ynxctmyZVq1aZXXc2Ld8+XLz7dtuu63Q161Ro4YaNWpkvj1t2rR8e8x88sknF1zhqLoLPK8CJjY5RWkZmeU2nupg4OWN9cDLPeXkbPklnJmZrc9fXa953+9VdjbLVAMAAABARVHhA5j//e9/6tixo/n2Nddco/nz55u/WBqb8baxz2Ccc+utt1q8dunSpWbFgLFNnTrV6tpGY13DwYMH1b9/f61cuTJ3CeqwsDCNHj1ab7/9tvl88ODBueNAwT1gDPSBKX2d+wTrsbf7yt3LyerYz1O26/uPtiorkxAGAAAAACqCCr0KUs5UoVmzZmngwIE6cOCAhg8fnjvNKDn57HLHTZo0Mc85d1pRYRgBzI4dO/TFF19o/fr15hQm4xqurq5KTEzMPc8IXr777jsbf2RVPIBJSFRdH6ZslbZm7fz0zIf99d5T/+hUhGUV16JfD+j0qRTd/WxXOTkX7WsDAAAAAFDNKmAM9erV05YtWzR+/Hh16NDBDEmMrX379nr55ZfNY8Y5RWU0+P3888/N1Y1uuukmNW7cWM7OzkpLS1NAQICGDh2qKVOmaM2aNeZz5K1NYIAmDB2kz6+6TH/870aF3n+XWgX4c7vKSHADbz3zUX/Va+JjdWzDsuN694lVSoxP4/MBAAAAAOXILptGEWUip39MaGho2bxDVDvJien6+MXV2rUxyupYcENvPfpGL/kGuJfL2AAAAACguqsUFTAALszNw0mPvN5bPQZbV4OFHz6jVx9cqmOH4riVAAAAAFAOCGCAKsTRyV53PdtVF1/fzOpYbHSKXn9oufZstq6QAQAAAACULgIYoIqxt7fTtfe10w0PtpednfU0pXefXKV1S4+V1/AAAAAAoFoigAGqqKHXNNW9L3Q3q2LOlZGepcnj12rhL/vLbWwAAAAAUN0QwABVWLeBdTX2zd5mf5hzZWdL33+0VTM/26asrOxyGx8AAAAAVBesglRGqvoqSBuPn9CKw0cUkZCoyIQEJaal6/sbrynvYeFfRvPd955cZfaBOZ/RtPeOp7pYVcoAAAAAAGzH0YbXQjW2aP9BvbhwicW+tIxMOTs6lNuY8J+6jXz07McDNOmpf8wVkc61ZlGYzsSm6MHxPa0qZQAAAAAAtsGfvGETAZ4eVvsiExO5uxWIb4C7nv6gn5q397c6tmtjlN4Ys1yx0cnlMjYAAAAAqOoIYFB6AUwCAUxF4+HlrLFv9VaX/nWsjoUdiNNro5fpxNH4chkbAAAAAFRlBDCwiUBPT6t9EQkJ3N0KyMnZQfe90F2Dr2pidexURJJee2iZ9m8/VS5jAwAAAICqigAGNkEFTOVi72CnG0e317X3trU6lngmTW8/tkIbV4aXy9gAAAAAoCoigIFNBHgwBamysbOz08U3NNfdz3aVg6OdxbH0tCx9Mm61ls46WG7jAwAAAICqhAAGNmGsdlTTzdViXwRNeCuFnkPr65HXe8vV3XJRtOwsacakzfr1yx3Kzs4ut/EBAAAAQFVAAINSq4KJiKcHTGXRukuAnnq/n3x8XayOzflmj75+c4MyMrLKZWwAAAAAUBUQwMBmAr0sG/GyDHXlUr9pDT378QAF1bNuqLxq/lF9+FyoUpIzymVsAAAAAFDZEcCg1CpgWIa68vEP8tAzH/ZXkza+Vse2r43QW48u15nYlHIZGwAAAABUZgQwKLWVkAhgKidPHxc99nYfdexV2+rY4T2n9droZYo4zvQyAAAAACgKAhjYTOB5AUxMcrLSMjK5w5WQi6ujHhjfQ/0va2R1LDI80QxhDu6KKZexAQAAAEBlRAADmwn0tO4dQh+YysvBwV63PtpRV9zR2upY/OlUvTV2hbaEniiXsQEAAABAZUMAg1KbgmRgGlLlZmdnp8tubanbn+wse3s7i2NpKZn66PnVWjHncLmNDwAAAAAqCwIYlG4Ak5jIHa4C+gxvqIdfDZGzq4PF/qysbE19e6NmTdul7OzschsfAAAAAFR0BDCweQDjYG+nIC9PdQgKlIOdZdUEKq92PYL05KS+8qrhYnXsj6m7NOPdTcrMzCqXsQEAAABARWeXzZ+ty0RISIj5GBoaqqrKqIY4lZwkPzd3q+kqqDoijydo0pOrzGa852vS1le9htVXcANvNWvnZ05hAgAAAAAQwJSZ6hDAoPo4E5ui95/5x1yWOj/1mvpo9IQQ+Qe5l+nYAAAAAKAiYgoSgCLzrumqJyb1U7segfmeE7Y/Th+9EEpvGAAAAAAggAFQXK5ujho9MeSCIcy+bae4yQAAAACqPSpgABSbo6O9uvavU+A5f/+83+wPBAAAAADVGQEMgBIJqONZ4PFNK8L16UtrlJyUzp0GAAAAUG0RwKDUpGdmKvxMvDKzWJq4KjNWOzIa7hZk44pwvfrAUkUcTyizcQEAAABARcIy1GWkuqyC9Nfe/Xr2r0WKTEhUdFKSuW/f4w+rro93eQ8NpSj6ZJLZcNfo+VIQd08n3fNCN7XrHsTnAwAAAEC14ljeA0DVkpWdrZ2RURb7jDCGAKZqM5aaHjdlkNlwNzI8UTX9XbVi7mGtW3Lc4rykhHS9//Q/uuquNhp+Y3PZ2dmV25gBAAAAoCwRwMCmAjw9rPZFJiZyl6sBI0xp3t7f3AytuwSoYYt9+nnKdmWfMwstO1v65fMdOrL3tG5/qou5mhIAAAAAVHX0gEGpBzAR8fT9qK6BzMXXN9ejb/SWu5eT1fH1y47rtdFLFRVOQAcAAACg6iOAgU0FeORRAZPAL9jVWZuugXrxs0Gq29i6D9Cxg2c0/r7F2r4uolzGBgAAAABlhQAGNuXi6Kiabq4W+yKYglTt1Qr20LMfDVDX/nWs7kVSfLree3qV5v+wV9nG/CQAAAAAqIIIYFDqVTCRCUxBguTi5qj7xnXX1fe00fm9d40eMTMnb9eUieuUmpzB7QIAAABQ5RDAoNT7wEQwBQnn9IW55MYWGvN6L3NJ6vOtXXxMrz20TNEnmbYGAAAAoGohgIHNBXp6WjynBwzO1657kJ7/bKCCG1r3hQk7EKcJ9y7Rzg2R3DgAAAAAVQYBDEq9AoYABnkJrOOpZz/ur859g62OJZxJ07tPrtTfM/fRFwYAAABAlUAAA5sLPC+AiUlOVlpGJncaVtzcnfTAyz105Z2t8+wL8+Mn2/TFq+uVlsq/HwAAAACVm2NxXnQ6Nk7r1mzUieMRSk5J0b0PjrL9yFBlKmAMkYmJqutjPd0EMPrCXHpLS9Vr4qPPX1mv5MR0i5uyemGYThyJ14MTesov0J0bBgAAAKDqV8BkZmZq0puf6uIB1+jpseP1/juTNeXjaRbnnImLV7/uI9Sj/VCFHzth6/GiEvaAMTANCRfSIaS2nv90gGo38LI6dmTfaY2/d7F2b47iRgIAAACo+gHMU4++rG+m/qT09Aw1adpQDg4OVud4+3jpoksGKT09XQv+WmrLsaKSV8AAFxJUz0vPfTxAHXvXtjqWEJemdx5bqYW/7KcvDAAAAICqG8AsmL9EixcsV03fGvpm5mT9NOtr+dSw/ku1YdjFA83HdWs22W6kqNwBTEJCuYwFlY+bh5MeHN9TI0e1sjqWlZWt7z/aqq/e2KD0NPrCAAAAAKiCAczvv8w1ezU8PPYetWrTvMBz27ZvZZ57cP8RW4wRlUyAh3UAExFPBQwKz97eTpff1koPTewpV3frVlX//HVUrz+8TDGRSdxWAAAAAFWrCe+uHXvNx6HDz1a3FMTN3U0enu6KjYkt2ehQKbk4Ouqatq3l6eJshjGBXp7qVb9eeQ8LlVDH3sF6/tOB+vD5UEWEWVZRHd5zWhPuW6L7xvVQiw7+5TZGAAAAALBpAJMQnyhPLw+5ubkW9iWoxmZcf1V5DwFVRO36Xnr+k4H64tV12hJ60uLYmdhUvfPYCt3wYHsNvKKxWXkHAAAAAJV6CpKXt6cZwqSlpV3w3JiY0+a5NXxrlHR8ACB3TyeNnhiiy25taXU3MjOz9e0HWzT1rY30hQEAAABQ+QOY5i2amI9bNm6/4Lnz/lxgPrZpa/3LEgAUty/MFXe01oPje8jFzbp4b+W8I3pjzHLFRiVzgwEAAABU3gDG6P2SnZ2tyR9PU0ZGRr7n7di2S59+8JU5FWD4pUNsNU4AMHXuW0fPfzJAAXWsmz0f2h2r8fcu1r5tp7hbAAAAACpnAHP5VcPVvGUTbdqwVfeOGqslC1coMzPLPHbwwGGtWLZar7z0ju685WElJSWrQ+e2GjysX2mOHUA1FdzQWy98NlDtegRaHTP6wrw1drmWzjpYLmMDAAAAgLzYZRtlLYUUGRGlB+96Qgf2H8632aVxuWYtmujTL9+Wr1/Nwl66ygsJCTEfQ0NDy3soQJWRlZmt37/eqTnf7snzeL8RDXXTwx3k5OxQ5mMDAAAAgGIHMIaUlFR9O22mfv95jo4fO2FxLCDQX1ddd5luvf16Vkuq5gFMUlq6dkZGKSIhQZEJieZ2Y8d2ql/Dp7yHhipo/bLj+ur19UpNybQ61qSNr+5/qYdq+ruVy9gAAAAAoFgBzLkiI6IVFRmtrKws+fn7KrhOEHc1H9UtgNlwPFx9PvvKYt9vt96gi5s3LbcxoWo7dihOHz2/WlHhiVbHfPxc9cDLPdS0jV+5jA0AAAAACt0DJi9GxUubdi3VrkNrwhdY/tvwtG6QGpmQwF1CqanbyEfPfzpQbboGWB2LO5WiNx9ZruVzDvEZAAAAAFD5AhggPwEe1gFMRLx1ZQJgS57eznrk9d4afmNzq2OZGdma9vYmzZi0SRnpZxuIAwAAAEBZcSzsiSfCI4r1DmoHW69SgqrPxdFRNd1cFZuckrsvIpEABqXP3sFO19zTVvWb1tDXb21Q2nl9YZbOOqTjh86YfWF8fF35lAAAAACoWAHMpUNuKPLFjZWS1u9YXOTXoepUwZwbwDAFCWWp+6C6ql3fUx+9sFrRJ5Msju3bdkoT7l2sB8b3VONWvnxiAAAAAFScKUhGr96ibkZzXlRf5/eBMVZCAspSvaY19MJnA9W6i3VfmNjoFL0xZrlWzjvMJwUAAABAxamAmb3whwKPJyQkavuWnfpm2kzFnjqtCW8+q8ZNGtpijKikAjw9LZ5HEMCgHHj6uOiRN3rpl8936K8f91kcM3rBfP3mRh3eG6su/eroVESyAoI91Kydn1nBBwAAAAAVYhnqvKSmpureUWN1/NgJ/fDbF+by1Kh+y1AbHpvzlz5ZvS73ua+bm44/+1i5jgnV2+qFYZr29kalpVr2hTlfvaY+Gj0hRP5B7mU2NgAAAABVm81XQXJxcdGTzz2sU9Ex+uKzGba+PCqRwPOmIMUkJys9s+BffIHS1HNIPT39YX/5BRYcrITtj9NHL4SaUykBAAAAoMIuQ926bQu5ublq+ZJ/SuPyqKQ9YAyRrISEctagWQ29MHmgWnaqdcEQxmjWCwAAAAAVNoAxmu8am1EFg+rr/B4wBhrxoiLw8nHR2Ld6q01X6+a85zq8J7bMxgQAAACgaiuVAGbdmk1KTU2Tl7f1L+CovlOQDDTiRUXh4GCvS29tWeA5s6bu0uZ/TpTZmAAAAABUXTYNYNLTM/T3vMV68enXzBVEuvXobMvLoypMQUpIKJexAHkxVjsyGu7mJzkpQx8+F6pvP9h8wca9AAAAAGCTZagvHXJDgceNipfYmNNm00pj8/Ty0L0Pjirs5VEFBXhQAYOKzQiKjdWOjIa7Rs+X/Cz+7aD2bI7WvS90V51G3mU6RgAAAADVLIAJP36y0Bft2KWdnnp+jBo0qlfccaEKcHF0VA1XV51OScndRw8YVDTGUtPjpgwyG+5Ghicq5mSS/pq5TylJGRbnHT90RhPuW6wbHmyv/pc1MsMbAAAAALB5APPSq08XfCFHB3l5e6lFyyYKCCx4dRFUrz4w5wYwMUnJ5ToeIC9GmNK8vb+5GXpd3ECfv7JO+7dbroKUnpalGZM2a/u6CI16vLM8fVy4oQAAAAAKxS7bmC+EUhcSEmI+hoaGVqu7vfLwETnY25tBTICHpzxdnMt7SEChZGZmafaM3fpzxm5lZ1kfr+nvqrue66aWHQmcAQAAAFwYAUwZqa4BDFDZ7d0abVbDxERaV28Zs5AuuamFRo5qJUfHUllUDgAAAEAVwW8MAFAAY1rSS18MVpf+dayOGfWDc77dozceXqao8ETuIwAAAICiVcCcCI+QrdQODrTZtSozKmCAys34Vrly7hF999EWpaVYL0nt6u6oWx/tpJ5DaD4OAAAAoJABTJfWA2Wrxpbrdyy2ybUqOwIYoGo4cTRekyeszXfZ6l7D6uumMR3k5u5U5mMDAAAAUMmmIBmZjC22rKw8OlcCQCVWu76Xnvt4gIZe0zTP4//8fVTj71msQ7tjynxsAAAAACpZBUz48ZM2ewfBdYJsdq3KjAoYoOrZtuakvnpjg87Eplodc3Cw05V3ttFF1zeTvb1duYwPAAAAQMXBKkhlpLoGMPGpqXrur0WKSEhUZGKiIuIT9OLgAbqhQ9vyHhpgE3ExKfrq9fXavi4yz+OtOtfSnc90VU1/N+44AAAAUI2xChJKlbODgz5ft1Gzdu3R6qPHdCj2tMLi8u6dAVRGPr6uGvN6b113fzs5OFpXuuzaGKWX7lqkLaEnymV8AAAAACoGAhiUKhdHR9VwdbXYF5nAcr2oWowpRhdd18zsDRNYz9PqeEJcmj54NlTffbBF6WnWKygBAAAAqPoci/vCmFOxijgZpeTkZFl3kflPl24divsuUEUEenrodEpK7vOIhIRyHQ9QWho0r6kXJw/SDx9t0Yq5R6yOL/rtgPZsidK9L3RXcENvPhEAAABANVLkAOan737Td9N/UdjR4xc8l2WoYQjw9NCe6FO5N4MKGFRlrm6OGvVEF7XpGqhp72xScmK6xfFjB89o/L2LdcOD7dX/skbm90kAAAAAVV+RApjnnpio+XMWmUtMF0Zhz0PVFuBpOSWDAAbVQbeBddWola8+f2Wd9m//L4A0pKdlacakzdq+LkKjHu8sTx+XchsnAAAAgArWA2bB/KWaN3uh3D3c9eZ7L+ufTX+Z+/38fbV+x2LNXzpT4yY+qbr1glWjpo+mTHtPG3ctLc2xoxJVwJzLWA0JqA78g9z15Ht9NfK2lrLL47vtppUnzAa9uzdHlcfwAAAAAFTEAGbWb/PMUvn7H7pdQy7qL1fX//5ia29vr4DAWrr86kv03a+fq1aAvx598DkdP8aqH5CCzgtgTiUlKz2TRqSoHhwc7HX5qNZ6clI/+QZYL0UdG52it8eu0K9f7FBGRla5jBEAAABABQpgdu/caz6OGDmswGlGnp4eevK5h5WYkKipX3xnq3EqMTFREydOVMeOHeXl5WVuxtsTJkwwj5VUenq6pkyZomHDhql27dpycXFRYGCgunXrpkcffVQ7d+60ycdRHZ1fAWOgCgbVTfP2/nrpi8Hq0r+O1THj2+icb/fojTHLFXWCCjEAAACgWveAiTsdLzc3V/nU+G/lDgdHB6Uk/7e6zbkrH7m4umj1qvU2GWRYWJgGDhyoAwcOmM/d3NzM4GfLli3mNm3aNC1ZskT16tUr1vX37NmjK664Qrt3786t6PHx8VF0dLQiIyO1fv16NWjQQK1bt7bJx1Pde8Dk9IGp480qMKhePLycdf+47lox97C+/2ir0lIsK8EO7ozRy3cv0i2PdFLPIcX7fgYAAACgklfAeHl7moHL+dUuyckpSkxIsjrfwd5e0VGWjSeLIzMzUyNHjjTDF6MiZe7cuWbFS1JSkubMmaOAgADzmHFOVlbRy/cPHTqkfv36meGLUVEze/Zs89oxMTFKTU3V3r17NWnSJDVv3rzEH0t1FeCRRwVMAn/lR/VkTOXsN6KRuVx1vaY+VseTEzPMxr1fvrZeyUmWKygBAAAAqAYBTK0APzNoSUlJzd3XsFF983HTxq0W5x46eERJSclycnYq8QCnT5+uzZs3m2/PnDlTw4cPN3+BMbZLLrlEP//8s3nMOMc4t6huu+02s8qlR48eWrVqlUaMGGFOPzI4OjqqWbNmeuSRR8z3BdtNQYpISOB2olqrXd9Lz308QEOvaZrn8X/+Pqrx9yzWod0xZT42AAAAAOUYwDRv0dSc9pPTC8bQs3dXc99Hkz5XZES0uS/mVKwmvPi2GZC0aduyxAOcOnWq+di/f3/17dvX6rixL2e/MRWpKBYuXKgVK1aYb0+ePFnu7u4lHi+sBeYZwFABAzg5O+iGB9vrkdd7ybum9VLUkccT9droZZr3/V5lZVn22wIAAABQRQOYXn27m2HLkoUrc/ddd9MV8vb20r49BzVi8HUa2vcqDet3tbZs3G4ev+3OG0o0uOTkZK1cefb9FVSBYlStGIwwxXhNYeUENu3atVOHDh1KNFbkz8XRUTVcXS32MQUJ+E+7HkFmg9623QKsbktmZrZ+nrJdk55cpdOnCv/9DQAAAEAlDWAGDO6jl159Wp26ts/dV7NmDX0w+XUF1Q5QZmaWTkXHmH1YjGa9z738mHr27laiwe3atSu3r0vbtm3zPS/nmNEvJqeRbmHkVL906dLF7Pvy8ssvm412jSa/NWvWVJ8+ffTxxx8rLS2tRB8HrKchEcAAlnx8XTXm9d667v52cnC0s7o9OzdEatydi7Ql9AS3DgAAAKjKqyC5urpo5JUXW+1v37GNZv39nbZu3qGTJyLNZr0dO7czG/SW1PHjx3Pfrlu3br7nnXssPDxcnTp1uuC1jQa7R44cyV31qGvXrmbgk7MCUlxcnNkTxtiM3jLz5s2Tr6/vBa8bEhKS5/7t27erVatWio+PV3Xkd14FTHhcXLW9F0BBeg0PUr3m7pr+9jZFHbdscJ4Ql6YPng1V30vraeSoZuYUJgAAAAAVi5eXV8kqYAri4OCgTl3aa/ilQ9SnX0+bhC+Gc39BL6g/y7nHzpw5U6hrx8bGWvSZMZainjhxornfWAHJeBw/frwZyKxdu1ajRo0q9scBqVFNHzWpWUMhdetoZItm6t/wbANnANbqNfHW4+/2UM+hwXnenhWzw/TuY2t18ijNrAEAAIAqVwETfvykgusEqaow+tnkMKY5jRkzRs8991zuPm9vb73wwgvmCkkfffSR/vzzT23atOmC1TWhoaEFVsbkl4RVdV9ed1V5DwGoVIxvFXc/21MdQ45p2jublJxouST1iSMJevvR1Rp0RRPVaeStgDqeatbOz2yADgAAAKDiKXQFzMhhN+me2x7RrF/nKSnRsiy+tJwbVhg9WvJz7jEjOCnqtQ1PPPFEnuc99dRTuW///fffhbo2ANhKt4F1zQa9TdtYT4HMSM/W3zP36+s3N+qNMcv18j2LFX2ybL4/AwAAACilAMaoEtmwbotefv5NDel7lZ5/cqJWr1pnUUlia3Xq1MmzH8z5jh07lvt2cHDeJfvn8/T0NHu95IQ2576v8/vL5IQ1OT1jAKAs+Qe568n3+2nkbS1lV8B37bD9cfrohdBS/b4MAAAAoJQDmI8/f0sXXTJILq4uSklO0bzZi/Tg3U/q4gHX6oN3pujggcOyNaNprdGDxbBt27Z8zzMa3Ob0omnZsmWhr28sP10UlPYDKC8ODva6fFRrPTmpn7xqOBcYwmwJPVmmYwMAAABgwwAmpE83vfr2C1q44le99MpT6tKtg7k/KjJa0778XtdedrtuvuYe/fjtbzodGydbMJaDNpaCNsydOzff83KO9e3b13xNYV100UW5jXvzq7AJCwvLbQbcqFGjIo0fAGyteXt/jbytVYHnTJm4VmsWhVEJAwAAAFQgRV4Fyd3DXSOvGq4p097TnEU/6oExd6pBw7rmD/q7duzVm698oIv6X6Oxo5/TkoUrSjzAnNWHli1bZi4JfT5j3/Lly823b7vttiJd+5ZbbpGTk5P59ltvvZXnOW+88UZu9cull15a5PEDgK3VbXx2+mR+UpMzNWXiOn34XKhiougJAwAAAFQEJVqGOqh2gO6671b9OneGpv/4qa698XJ5+3gpPT1dSxet0hNjxpV4gP/73//UsWNH8+1rrrlG8+fPN8MeYzPeNvYZjHNuvfVWi9cuXbrUDE6MzVhq+nwNGzbUY489Zr794Ycf6tVXX81dxtp4NJal/vTTT83nt99+e5GmN8Ga8Tk7nZyivVGntPLwEe2JiuY2AcVgrHZUr2nBIYzBmIr04u0LtezPQ8rKoi8MAAAAUJ7ssm3crfHwwaN6/qlXtHP7HjP42LBzSYmvaUwDGjhwoA4cOGA+z5lmlJycbD42adJES5YsUb169awCGON1hq+//jq3muZcmZmZ5v5vvvkmt4+M0Zw3Li7OPGa47LLL9NNPP8nV1bXYH0POMtT5LVNdHTR64z2dTEjIfT46pLveumRYuY4JqKyM1Y6MhrtGz5ccRoPe7Ky8z2/R0V+jHu9sLlcNAAAAoOw52uIiCQmJ+nveEs3+4y9t2Xi2Ia4tm9YawcqWLVv07rvv6pdffskNYtq3b6+rr77arGLx8PAo1rWNwGXGjBnmdb744gutX79eMTExqlmzprp27WqGM9dddx0NeG3A29XFIoCJTEi0xWWBarsy0rgpg7Rv2ylFhicqINhD/rXd9e37W7R51Qmr8/dsjta4Oxfpijtaa+jVTWXvYJvvzwAAAABKuQLGWJZ61Yq1ZuiyfMk/SktNy234WLd+sC69/CJzC64TVJzLVzlUwEhDv5yulYeP5t6T/o0aaP4dltPGAJSM8X14/bLj+u6DLToTm5rnOY1a1tSoJzurbqMLT2MCAAAAUE4VMHt27dOfv/+lv+YuUsyp07k/8Ht4emjYxQN02ZUXq2Pnoi3vjOoh0NNy6gMVMIDtGZWH3QbUVatOtfTDx9sUuuC/0DPHod2xGn/PYo24paVG3NRCjk4lagcGAAAAwJYBzPQvf9DsWX/rwL5DuaGLg4O9evTqala6DBzSRy4uLoW9HKqhAE/LaWKRiUxBAkqLp4+L7nq2q7oPqqvp725SbNTZnlk5MjOyNWvqLm1Ydlyjnuisxq18+WQAAAAAFSGAee/tz3LfbtK0oS674mJdMnKo/Gv5ldbYUMUEnten51RSstIzM+Xk4FBuYwKquvY9gzTh6yH6ecp2LZ11NkA/1/FDZ/Tq6KUaek0zXXF7K7m42qQ1GAAAAIDzFPonbZ8a3hp+6RAzeGnVpnlhXwbkWwGTUwVTx9ubuwSUIjcPJ936aCd1H1RP097eqIhj/zXDNhgrJ/390z5tXhmu257orJYda/H5AAAAAMorgFmw4lc5OvKXURRfoJf18rdGHxgCGKBstOjgr5e+GKw/pu7SXz/ttVqy2lhN6a1HV6j/pQ11zb3t5O7pxKcGAAAAsJFCd14kfEFJBeSxVDiNeIGy5ezioGvvbavnPxmouo3zXgVp2ezDevH2BdoSar2cNQAAAIDiYekLlO8UpAQa8QLloWGLmnrhs4G64o7Wea6CFBudog+eDdWUCWsVfzrv5awBAAAAFB4BDMq1AuZkgmUvCgBlxwheLru1pcZNGaTGrfNeBWnN4mN6ftQCrVkUZq5+BwAAAKB4CGBQZlydHFXD1dViHxUwQPkLbuitZz7orxsebC9nV+tVyRLi0jRl4jp9+FyoYqKSymWMAAAAQGVHAINynYZEAANUDPYOdhp6TVON/3KIWnXOexWkLaEn9eLtC7Xsz0NUwwAAAABFRACD8g1gEukBA1QktYI99NjbfTTq8c7m8tXnS07M0PR3N+ntx1Yq8jhTCAEAAIDCIoBBufaBiYjnFzigorGzs1PfEQ01YeoQdexdO89zdm+K0rg7F+mvn/YpK5PeMAAAAMCFEMCgTAV6eVo8pwIGqLhq+rtp9ISeuu/F7vKq4WJ1PC01Uz99uk2vjl6qY4fiymWMAAAAQGVhl82yFmUiJCTEfAwNDVV1tvjAQW08flKBnh5mGGM8dqgdVN7DAnABCXGp+v7jrVq9ICzP4w6OdhpxS0uNuKlFnstaAwAAANVdsQKYZYtX6Z+Va3XieIRSU1M1eeqk3GPJScnas/uA7OykDp3a2nq8lRYBDICqYOvqk2YPmNio5DyP12nkrVFPdFbjVnkvaw0AAABUV0UKYCIjovTYQy9o5/Y95nPjpUavgA07l+Sek56eoZHDblRkRLSmfv+x2nVoXTojr2QIYABUFcmJ6fp5ynYtnXUoz+N29tLQa5rpittbycXVsczHBwAAAFREha4TT05O0f13Pq4d23arVoCfrrvpCrm5uVqd5+TkqMuvusQMZ5YsXGnr8QIAypmxOtKtj3bSk5P6KqCOZWNtQ3aW9PdP+/TSnYu0e3NUuYwRAAAAqLQBzMzv/9ChA0fUolVT/Tpnup56fozcPdzyPHfA4N7m4+ZN22w3UgBAhdKiYy29/OUQXXxDc7Pq5XyR4Yl669EVmv7ORiUlpJfHEAEAAIDKF8As/GupOd1o7JMPyN3DvcBzmzZvLAcHex09fMwWYwQAVFDOLg669t62ev6Tgarb2DvPc5bNPqwXb1+gLaEnynx8AAAAQKULYA4dPCp7B3t16tr+guc6OjrK09NTZ+LiSzo+AEAl0LBFTb3w2SBdcUfrPFdBio1O0QfPhmrKhLWKP51aLmMEAAAAylOhuyOmpabJ1dXVDFcKIzUtTc7OTiUZG6qoeXv2aW/0KUUmJCoyMVEta/nrsb69yntYAErICF4uu7WluvQN1tdvbtDBXbFW56xZfEw7NkTqxtHtVbOWm6JOJCkg2EPN2vmZVZYAAACAqnsA4+tXw1zZKDEhSR6eBU9BOnIoTCnJKWrYqJ4txogq5t2VoVp5+Gju8wGNGxLAAFVIcENvPfPhAC367YB+/XKH0lIyLY4nxKXp81fWW+yr19RHoyeEyD+o4P9fAAAAgCo/Bal9xzbm45JFKy547vczfjH/ktmpy4WnK6H6CfCwXDUlIj6h3MYCoHTYO9hp6DVNNf7LIWrVudYFzw/bH6ePXgg1V9ADAAAAqnUAc+U1I8wfjD/78GudPBGZ73nfTf9ZP33/u/n2VdddZptRokoJ9PK0eG5MQwJQNdUK9tBjb/fRqMc7m8tXXyiE2bftVJmNDQAAAKiQU5B69u6m4ZcO0bzZC3XLtffqoksGKSUlzTz203e/Kfz4Sa1YtlqHD56dWnLNDSPVpl3L0hs5Kq3A8ypgTiUlKz0zU04ODuU2JgClx6iI7Duiodr2CNT7z/xjBi35+eHjrXrg5R7yD7L8PgEAAABUdnbZRaj3Tk9L1ysvv6tZv87Ls1lizqWMaplnXxorB36hzhUSEmI+hoaGqrr7ev0mPfDHHIt9B54Yo2Bvr3IbE4CysWdLlN58pOCprE7O9hp+Y3NdfENzubgW+u8EAAAAQIVWpJ9snZyd9NIrT+mqay/Vrz/9qU0btikq6pSyMjPl5++rTl3amdOOOnftUHojRqUX4Gn9l+2IhAQCGKAaaN7e32y4W1AVTHpalmZN262V84/ouvvaqWv/OqyQBAAAgEqvWH9aNBry5jTlBYoq0NOyB4zBWJIaQNVnVE8aqx0ZDXcLCmEMMRHJ+uzltWrR0V83PdRBdRv7lNk4AQAAAFujthsVogKGAAaoPoylpsdNGWQ23I0MT1St2u46HZ2imZO3KzYq2er8PZuj9dLdizTw8sa6fFRreXo7l8u4AQAAgDIJYDq3GiD/Wn76e/kvhTp/xODrFXEySut3LC7J+FANlqE2RFABA1S7ShhjOpKx5ejYq7bmfr9H83/Yp4z0LIvzs7Okxb8d1NpFx3Tlna3Vb0Qjc6lrAAAAoMotQ20oQr/eYp2P6sHVyVE+ri5WPWAAVG8ubo668o42mjh1qDr3Dc7znIQzaZoxabPG37dYe7dGl/kYAQAAgDIJYIoiIyNT9vb8dRKF6wPDFCQAOWoFe+jB8T019q3eqt0g79XRjP4xb4xZrskT1iomMombBwAAgOoZwCQnpygmJlaeeTRbBfLqAxOZSBNeAJbadA3US18M1g0PtpebR94zZtcuPqbnblug2d/sVnpaJrcQAAAAla8HzInwCIUfP2mxLyM9QxvXb1F+M4uMKUfxZ+I1Z9YCZWZkqlmLxjYfMKpmHxgqYADkxdHRXkOvaaoeg+vq1y93auXcw1b/B6WlZOq3L3dqxdzDuv6B9urUuzbLVgMAAKDyBDCzfp2nKZ9Ms9h35ky87v7fIxe8qBHEGA0Wr7lhpG1GiapfAUMTXgAF8K7pqlGPd9aAyxrpuw+36MCOGKtzok8k6eMXVqt11wDdOLq9ght4c08BAABQOaYgGUFKzmYEKuc+z2szeHp5qFOX9nrlrec1bPigsvo4UMkEnTc9LTopSemZTB8AULCGLWrq6Q/6685nusrHzzXPc3auj9RLdy7SDx9vVVJCOrcUAAAAFYJddiGXKjKWofbz99WCFb+W/qiqoJCQEPMxNDS0vIdSIXy9fpMe+GOOHOztVMvdQ4GeHpp7+y3ydXcr76EBqCSSk9I155s9+nvmPmVm5P1fmVcNF119Vxv1Ht6AxvAAAACoHAHMi0+/Ji9vTz3x7EOlP6oqiADGUnxqqlIyMuTn5s4vRQBKJOJYglntsnW1Zd+yczVsUUM3PtRBTdv4cbcBAABQsQMYlAwBDACULiOAMYIYI5DJT69h9XX1PW1Uw49qOwAAAJQtApgyQgADAKUvIz1LC3/Zr1nTdys1OSPPc1zcHHXZrS015OomcnJ24NMCAACAihvAREZEafPGbYo4GaXk5JTcBrx5uffBUSUdY5VAAAMAZef0qWT9MmWH/vn7aL7nBNb11A0Ptlf7nkF8agAAAFCxApjTsXF69eV3tXjBigJDF0POykkbdi6xxTgrPQIYACh7B3bG6LsPNuvwntP5nmMEMEYQYwQyAAAAQLksQ32ulJRU3TPqUS36e7kcHBzUpl1LM2RxdHRUh85tVade7dzlqL19vNSlWwd17tq+1AYOAMCFNGntq+c+GahRT3Q2V0TKr3fMC7cv0MzJ282VlQAAAIByDWBmfv+79u89qAYN6+rPBd9r+o+fmvuNsOWrbz7UrL++0+wF32vwsH6KP5Ogvv1D9Pn090tl0Kh6MjKzFJucXN7DAFAF2dvbqe8lDfXqjKEaek1TOTjYWZ1jLGM9/4e9eu7Wv/XPX0eUlUV/egAAAJRTAGNMOzKmFD0w5i4FBPrneU5w3dp66/3xGjikjz54d4rWr91sy7GiinltyQp1/XCy6r/+rrxfflVDvphe3kMCUIW5ezqbU41e+nKw2nQNyPOcuJhUffn6Br320DId3hNb5mMEAABA1VXoAObggcPmY98BPS32Z2ZmWp07+tF7lJWVpe9n/GKLMaKKikhM1I7IKEUlJsloKRSZkFjeQwJQDQQ38Najb/bW6Ak95V/bPc9zDu6M0cT7l2jqWxt0JjalzMcIAACAahzAJCelyMvLUy4u/82hd3FxVnKS9bQRY5qSh6eHtm3ZabuRosoJ8vSweB6dlKT0PAI9ALA1o6KzU59gTZw6VFfd2VrOrtbLURvB8Iq5R/TsrX9rwc/7lZGRxScCAAAApR/A+PnXVEZGhsU+bx9vpaWlKzrqlMV+oxFvWmqa4k6fKf7IUOUFnBfAGIxqGAAoK07ODhpxS0u9Mn2oegyqm+c5yYkZ+uHjrXrprkXavu6k9m6N1sr5R8zHIiwkCAAAgGrOsbAnBgTWUmREtBmq+NTwNvc1a9HYDF9WLl+tK64ekXvumtANSk9PN0MbIN9/Ux7WS74a05CCvb24aQDKlG8td93zQncNuLyxvvtgi8IOxFmdc+JIvCY9+Y/FvnpNfTR6Qoj8g/KeygQAAAAUuQLGWHbasGXT9tx9g4b0Nf/69/5bk/XX3MU6cihMC+Yv0bhnXjfLu7v37FLYy6MaCvSyroCJTKQPDIDy07y9v16cPEi3PtpRnt7OFzw/bH+cPnohlEoYAAAA2C6AGTC4j/kD5t/zFufuG3nVcDVr0URxcWf07OMTdNWI/+npseMVFRktd3c33fPgqMJeHtVQXlOQIuITymUsAJDD3sFOA0Y21iszhmnQlY1lZ3/hEGbnhkhuIAAAAGwTwHTr0UmzF/6ghx+7N3efo6OjPvv6HQ2/dIicnZ1y/wLYqUt7fTHjfbMZL5CfwDymIEWwEhKACsKogLn54Y566fPBCqpn/f3qXJ++tEaLfz+gjHQa9QIAACBvdtk26iBoNOiNjYmTp6e73NzdbHHJKiUkJMR8DA0NLe+hVChBr7yluJTU3OcP9eqhN4cPLdcxAcD59myJ0puPrLjgjakV7KHLR7VSj0H1zEoaAAAAoMgVMBdiVMPUCvAjfEGRBHhYTkOKTGAKEoCK2RvGaLh7IVHhifri1fV66e5F2rwqnN4wAAAAsH0AA9iiDwxTkABUREZjeWO1I6sQJp8il+OHzujD51fr1dHLtHtTVJmMEQAAAFVkGepzZWVl6ejhY2bz3YyMzALP7dKtQ3HHhmogwNPTahlqAKiIjKWmx00ZpH3bTikyPFEBwR7mvtnf7NHKuYeVmWk9o/fgzhi9NXaFWncN0NV3tVHDFjXLZewAAACoZAFMVOQpffjuFC38e5lSz+nbUdBfDNfv+G/VJOB8gedVwBDAAKjIjP/XjOlIxpbjf2M76aLrm+mPr3dp7eIw5dVZbef6SHPr0i9YV9zRWsENvMt24AAAAKg8AUxkRLT+d/19ZghT2L69Nurvi2oUwJxKTlJ6ZqacHBzKbUwAUFSBdTx1z/PdNPzG5vrtyx3aEnoyz/M2LA/XxpXh6jWsgUbe1sqsoAEAAED1UOgAZvJHX5shjIeHux585C4NGNzHbLrrwC/KsGEPGCOzi0pMUrC3F/cVQKVTr4mPHn61lzlN6dcvdmjv1mirc7KzpFXzj2jNojD1v6yRLr2lhbxrupbLeAEAAFABm/CuWrHGLL1+ceKTuuGWqxRUO4DwBSUWeF4PGAPTkABUds3a+enJ9/rqkTd6qX6zvFdPykjP0qJfD+jpm/7Sr1/uUFJCepmPEwAAABWwAiY2Js4MXAYO6VO6I0K10qhmTQ1v3tSshDHCGOMxyMs6lAGAysb4o0W77kFq0zVQG5Yf129f7VREWILVeakpmZrzzR4t+eOgLrmxhQZd2VgursXqkQ8AAIAKzC67kI1ahg+8VgkJSVqxbk7pj6oKCgkJMR9DQ0PLeygAgHKQmZmlf+Yf1azpuxQTmZzveT5+rhr5v5bqc0lDOToWulAVAAAAFVyhf7LrEdJFSYlJOnIorHRHBABAFeTgYK++Ixrq1RnDdMOD7eXp45zneXGnUjRj0ma9cNsCrV4YpqwsGtoDAABUqwqYo0eO6aar7la3np016eNXSn9kVQwVMACAcyUnpWvBzP3666d9SknKyPfm1G3srSvvbKMOIUHmtCYAAABU8QDGsH7NJj3+8Itq3rKJ7rr/f2rbrqXcPVhCszAIYAAAeYmPS9Xc7/Zq8W8HzMa8+WnaxldX3dVGLTrW4kYCAABU5QCmS+uBRb+4nZ3W71hcnHFVOQQwAICCxEQlafb03Vox90iB047adgswK2IatqjJDQUAAKiKAUznVgOKfnE7O23YuaQ446pyCGAAAIURcSxBf3y9U2sWHyvwvC796+jKO1qrdn0vbiwAAEBVCmDWr91crHfQtXvHYr2uqiGAyd+ppCQdijmtyMRERSYkKC4lVWN69yzDzw4AVDxh+0/r1y93auvqk/meY2cv9b6ogUbe1kp+gUwJBgAAqDI9YFB8BDD5e23JCo1fvOy/f5R2Uty4Z+Tk4MA/OQDV3r5t0frlix3at/VUvvfC0cleA0Y20oibW8i7pmu1v2cAAACVehlqoLQEenlYPDciwajEJG44AEhq1s5fT73XT4+83kv1mvrkeU+M5r0Lfzmgp2/+W79/tVNJCencOwAAgAqGAAblLsDD02pfZEJiuYwFACoio6daux5BenHyIN33YncF1rP+vmlITc7QnzN26+mb/9L8H/cqLTWzzMcKAACAvDnmtfNEeMTZg46OqhXgZ7GvqGoHBxbrdag+AjwtK2AMRj8YAIAle3s7dRtYV537BWvV/COaNW23YqOSrW5T4pk0zfxsuxb8vF+X3dpSfS5pKEdH/uYCAABQ4QKYS4fcYD42bFxfv8yeZrGvKFiGGsWZgmQwmvECAPLm4GCvfiMaKWRofS3546DmfLtHCXFpVuedjk7RjEmb9ddP+3T5qFaq4e+m6JNJCgj2ULN2fub/0wAAACjHACanL++5/XmL06uX/r4ojMA8piCdjKcCBgAuxMnZQcOubaa+lzTU3z/v198/7VNKUobVeZHHE/X5K+st9hn9ZEZPCJF/EKsnAQAAlFsAM3vhD2cPOjpa7QNszdXJUd4uLjqTmpq7jylIAFB4bh5Ouvy2Vhp0RWPN/XaPFv9+0GzMW5Cw/XH66PlQjft8EJUwAAAA5RXABNcJKtQ+wJZ9YCwCGKYgAUCRefm46PoH2mvotU3157TdWjnviLKy8q9gDTsQp18+36Erbm9tLmUNAACA0sNPW6gQAs9rxMsqSABQfL613HXb4501YeoQNWpZs8Bz532/11w1yWjYa6yiBAAAgNJBAIMKIcDTsg9MBMtQA0CJBdXz0nX3t7vgecZKSj98vFVP3jjfXMY6Md66oS8AAABKYQrShnVbZCtdunWw2bVQfZaipgIGAGzDWO3IaLhr9Hy5EGMlpd+/2mlWxQwc2cicylTDz41PBQAAQGkFMHf/b4xNGvKxDDUKK+i8AOZUcpIyMrPk6ECRFgCU9P9iY7Wjj14ItQhhPLyclJyYrqw8evUaU5Hm/7hPC389oD7DG+ji65urVrDl92kAAADYIICx1RLSLEON4lbAGP/8opISVdvLi5sIACVkLDU9bsog7dt2SpHhiQoI9jArY2Iik/XXj/u0Yu5hpaVmWr3OWElp6axDWj77sLoPqqvhNzVX3UY+fD4AAACKwS67CCnJiqWhev6pV+Tt7aXb7rxRPXp1UWBQLfNYxMkorflng6Z//YPOnI7XhDefU9/+PYszpiopJCTEfAwNDS3voVRIs3ft1bXf/WSxL/T+u9QxmNW3AKC0nYlN0cJfDpjLVxtVMQXp0CtIl9zUQk3b+PGJAQAAKI0AZs+ufRp144Nq2bq5PvniLbm55z0nPDk5RQ/e9bh27dynaT98ouYtmhRlPFUWAUzB1h07rn6Tv7bY98f/btSwZvz7AYCykpSQrqV/HtSCmft1Jja1wHNbdPQ3g5g2XQNsMm0ZAACgqit0g42vP/9OaWnpeu6lsfmGLwY3N1c98+KjSk1J1ddTvrXVOJWYmKiJEyeqY8eO8vLyMjfj7QkTJpjHbOmbb74xf5jM2Q4fPmzT6+PCU5AMUayEBABlyt3TSZfc2EJvfH+xbh7TwZy6lJ89m6M16clVmnDfEq1fdlxZWSWfugwAAFCVFboCZli/q83qlhXr5hTqwn27jZC7u5v+WvZzSceosLAwDRw4UAcOHDCfu7m5mf1lUlJSzOdNmjTRkiVLVK9evRK/r4iICLVu3VoxMTG5+w4dOqSGDRuW6LpUwBQsLSNTc/fsM4OYQHPzlKeLc4nuOQCgZDIysrR28THN+26Pwo/EF3huUD1PDb+xuXoOqS9HJxqoAwAAnK/QPyGdiTujjIyMQp1rhCMZ6emKO33hJS8vJDMzUyNHjjTDl8DAQM2dO9eseElKStKcOXMUEBBgHjPOycprKYcieuCBB8zwpVevXiW+FgrP2dFBV7RpqV4N6qmJny/hCwBUAI6O9uo1rL5e/mqIRk/oqUYta+Z77smwBH395kY9c8tfWvjLfqWmFO5nBgAAgOqi0AGMr5+v0lLTtGrFmgue+8/KtUpNTTNfU1LTp0/X5s2bzbdnzpyp4cOH504NuuSSS/Tzz2crbIxzjHNL4qefftKvv/6qfv366a677irx2AEAqArs7e3UqU+wnvtkgB5/p49adwnI91xjZaXvP9qqJ2+Yr9nf7FZSQlqZjhUAAKDSBzB9B/Q0K1smvPCW9u89mO95B/YdMs8xApJ+A86u/FMSU6dONR/79++vvn37Wo+rb9/c/dOmTSv2+4mOjtbo0aPl4uKiKVOm0FAQAIDzGP+3t+ocoMfe7qPnPx2gzn2D871HCXFp+u3LnXri+vmaOXm74mLOThsGAACorhwLe+I9D9ymv+ctUVTkKd109T0aOLSveoR0UUCgv3k8MiJa61Zv1OIFK5Seni6fGt666/5bSzS45ORkrVy50nzbqHbJz4gRI7RixQpzM15j9IgpKiN8iYqKMhv9tmjRguWiAQAoQKOWvnpwfE+FHz6jed/v1eqFYXk24k1JytD8H/aa05L6DG+gi29orlq1rRuvAwAAVHWFDmD8/H312dfvauyDz+lEeIQWzl9qbuczqmSCagdq0scT5V/Lr0SD27VrV25fl7Zt2+Z7Xs4xo1/M7t271alTpyK9n99//10//vij2rdvryeffLJEYwYAoDoJbuitO5/pqstvb62/ftqrFXMOKz3NuidbRnqWls46pOWzD6v74Lrmakt1GnmXy5gBAAAqdABjaNGyqX7+c6p++v53/TV3ifbtPaDMjEzzmIODvZq1aKqLLhmoa2+4XO4e+S9dWVjHjx/Pfbtu3br5nnfusfDw8CIFMLGxsbr//vvl4OCgL774Qk5OTjZZ7eh827dvV6tWrRQfX/AqEgAAVEYuHtLI25to4BV1tezPo1o595hZ/XI+o0pm9YIwc2vbvZaGXNNQDVvWKJcxAwAAlAYvL6+SBzAGN3c33XbnjeaWnp5hro5k8PbxlpNTkS9XoHPDCnf3/AOdc4+dOXN2PIX1yCOP6OTJk3r00UfVrVu3Yo4UtrDlZIS+2bpDUYlJikpKMh//vOlac1lqAEDl4FXTRZf+r5kGX93QDGGWzTpq9oPJy/a1UebWrF1NDbmmkZp39KUHGwAAqLIKnZj06z5C9nb2mv7Tp6rf4GzFiRG4GFOTKitjSWtj5aSGDRtqwoQJNrlmaGhogZUx+SVhkGKPhWva5m0WtyKRewYAlZLx391Vd/jq0pvbaOXcw5r/4z6dikjK89x922LNrUHzGhpxcwtzxSVj5SUAAIBqGcAYS1Ab03NywpeycG5YkZSU9w9t5x/z9i7cfHKjUubee+813548ebI8PKiyKG+Bnp5W+yITjAgGAFBZObs4aNCVTdTvskZauyhMc7/fqxNH8p6Oe2TvaX0ybo1q1/fSxTc2V88h9eToWOgFGwEAAKpGAFMrwF8xp2JVlurUqWPRD8ZokpuXY8eO5b4dHJz/kpjnGjdunPm6a6+9Vr169VJCQoLF8dTUVIuAxzhu9IkpzgpLKJy8phoRwABA1WAEKb0uaqCeQ+tr8z8nNPfbPTq0O++fK04cjdfXb2zQH1N36qJrm6l2Ay/FRqcoINhDzdr5MU0JAABU7QCmR6+u+m3mbO3Ytltt2rVUWTCa1trb25srIW3btk3Dhw/Pt8GtwQhIWrYs3NgOHTpkPs6cOdPcCtKmTRvzsX///lq61HrlJ9hGQB4BzMnzgjEAQOVmTC3q3CdYnXrX1q6NUZrz7R7t3hSV57kxEcn6/qOtFvvqNfXR6Akh8g8qebN/AACAslTout477r5J7u5uemPi+0pKzH86kC0Z1SZ9+vTJ7deSn5xjffv2pUKlEnNzcpKXi7PFPipgAKBqsrOzU+suAXri3b567pMB6tSndqFeF7Y/TpOeWqns7OxSHyMAAEC5BDB29vZ6fvzjOrj/sK657HbN+PpHbduyU8ePndCJ8Ih8t5IaNWqU+bhs2TKtWrXK6rixb/ny5ebbt912W6Gv+/vvv5s/vOW3ff311xbVMsY+ql/Kvg8MAQwAVH2NW/maVS3jvxqikKH1L9iA9+TRBI2/d7E2rQxXViZBDAAAqBzssgv5J6QurQcW/eJ2dlq/Y7FKIjMzU127dtXmzZsVFBRkBiMXXXSReeyvv/7S7bffbi4j3bFjR61fv96chpTDCEwGDjw7buN1OWFOYUydOtW8dk4AY6yUVBI5qyDlt0oSzhr8xTT9cyQs93YMatJIc0bdzO0BgGok+mSivn5zY75Tk85lTEUaeHlj9bmkoTy9LasoAQAAKmUPmOKU+tqiPNgIVGbNmmUGKQcOHDD7wOQ0wk1OTjYfmzRpYp5zbviCyingvNWoIuLpAQMA1Y1/kIcuH9WqUAFM9MkkzZy8XX9M3aUeQ+pp8JVNVK+JT5mMEwAAoFQCmNkLf1B5qVevnrZs2aJ3331Xv/zyixnEGIxVka6++mo99thjLCNdRVdCikxkGWoAqI6M1Y6MhrtGz5fCSEvN1Io5h82tRQd/c+lro6+MgwPLWAMAgEo2BQklwxSkwnltyQqNX7ws97mdnXRm3LNy5AdoAKh2jOqWj14ItQhhagV7yC/QXXs2R+lCP8H4BrhpwMjG6ndpQ3n5uJT+gAEAAGxRAQOUx1LUxg/XUUmJqu3lxScAAKoZo7/LuCmDtG/bKUWGJyog2MOsjDF6zEUcT9CS3w9q5bzDSk7MyPP1MZHJ+vWLHZo1bZd6DK6nwVc1UYNmNcr84wAAAChxBUzY0eOKORVrvu3rV1P16tfhruaDCpjC+XPXHl333UyLfasfuEsdagfxbwsAYCUlOUOhfx/Vot8O6MSR+AveoaZt/cw+MZ37BcvRkelJAACgAlfAREZE66vJ3+ivuYt15ozlDzre3l66aMQg3XnvraoV4GfLcaKaVsAYWIoaAJAfVzdHcxWkASMbadfGKC369YC2hJ7Id3rS/u2nzK2Gv6s5Pan/pQ3lXdOVGwwAACpWBczmjdv06IPP6UxcfL4rHBllwT41vDXp41fUoVNbW461UqMCpnCOxJ5Wy3c/stj3+VWX6ZZOHUrl8wIAqHqiTiRqyR8HtWLuYSXFpxd4rqOTvboNqKvBVzVWo5a+ZTZGAABQ/RQ6gImJOa2rht9qVr14eLjr6usvU8/e3RQUFGAeP3kyUmv+Wa+ff/xTiQmJZgjzy5zp8vVlrrWBAKZwktPT5Tv+DYt9E4cN0mN9exX13zYAoJpLTcnQ6oVhWvzbAR07eOaC5zduVVODr2qqrv3rmMEMAABAuQQw778zWdO++F71G9TVZ1+/q6DaZ4OX80WcjNS9o8aa/WFG3XWjHhp7j00HXFkRwBRe07fel7uTkzkdKcDTU9e1a6Mr2rQsxc8OAKAqM37U2bslWgt/PaBNq8KVnVXw+T6+Lup/WSNzq+HnVlbDBAAAVVyhA5jrRt6uA/sPa/LUSeravWOB565fu1n33PaImjRtqJl/TrXVWCs1AhgAAMrfqYgkLZ11UMtnH1bCmbQCz3VwtFPXfnU0+OqmZnWMMc0aAACg1AOYPl2GKys7W/9snF+oC/fqfLGMH1NWFfL8qo4ABgCAiiMtNVNrFoWZqyeF7Y+74PkNW9QwV0/qNrCunJwdymSMAACgmq6CZIQvDvaFnw9tb2dnvgYAAKCicXZxUN9LGqrP8AbmqkjG6kkblocrKyvvn10O7zmtL1/foJ8+267+lzXUgMsaq2YtpicBAIBSCGACA2vp6JFj2r1zr1q2bl7gucY5SUnJatCwXhGGAgAAULaMaUXN2vmbW2xUspb+eVDL/jys+NOpeZ5v7J89Y4/mfbdXnfsGa/BVTdS0rR/TkwAAwAUVuqSlR68uZhO7V156V4kJSfmel5yUrFdfnmT+INKzd9fCXh4AAKBcGRUtV97RRm/9eLHufLqLOe0oP5mZ2Vq39Lhef3i5Xr5nsbnktTGtCQAAoMQ9YMKPndDVl96mtLR0BQYFaNRdN6hHSFcF/rsaUsTJKK0JXa8ZX/2o48dOyMXVRb/MnqbgOkGFuXyVRw8YAAAqF+NHpIO7Ys3pSeuXHVNmRsE/Mnl6O6vfpQ01YGRj+QW6l9k4AQBAFQtgDIv+Xq5nH5+g9PT0fEttjcs5OTnp1bdf0OBh/Ww51kqNAKZojH9HZ1JTFRGfqMjEBLUJDFBNN+baAwDKx+lTyVo2+7CWzTqouJi8pyflsLOXOvUO1qArG8ve3k5RJ5IUEOyhZu2YqgQAQHVWpADGsGfXPn303hcKXblOWVlZFsfs7e3Vu293PfDIXWrRsqmtx1qpEcAU3qbwExr4+VSlZvxXyj3rfzdqaLMmpfK5AQCgsDLSs7R+2XFz9aSDO2OKdOPqNfXR6Akh8g+iOgYAgOqoyAFMjvj4BO3esVcxMafN576+NdSyTXN5eXnaeoxVAgFM4R2JPa2W735kse+Lq0bq5k7tbf55AQCguA7vOTs9ae2SY2YwUxgBdTz0yvSh5h+tAABA9VLsAAZFQwBTeMnp6fId/4bFvlcuGqyxfUL4ZwcAqHDOxKaY05OWzjqo09EphWr2O+iKxgoZVl81/ZleCwBAdVHoZaiBsuLm5CQvF2fFp6bl7otMSOQTAACokLxruuqyW1tq+I3NtWlFuH77aocijuX//5ax3PUvn+/Qr1/uUPseQeozvIHa96wtRyeqYgAAqMqKFcDs2LZb82Yv1M7tuxVz6t8pSH411LptSw2/dIjatGtp63Gimgnw8LAIYCLiE8p1PAAAXIijo726DawrHz9XvTFm+QXPz86StoSeNDevGi4KGVpPfYY3VJ1G3txsAACqewCTnJSsl55/UwvnLzWfnzt76eiRY9qyaYe+n/GLhg0fqBcnPCE3d8pqUTyBXp46EBOb+zwykQoYAEDlYKx2ZDTcDdsfV+jXxJ9O1d8z95tb41Y1zSDGCHPcPZ1KdawAAKACBjBG2PLo6Oe0bvUm820/f19179lZgUEB5vGIk5Fat2aToqNO6e95S3Q6Nk6ffvVOaY4dVbwC5lxMQQIAVBZ2dnbmakcfvRBqEcIE1fNU07Z+2vzPCSXE/Vfleb6Du2LN7YePt6pr/zrmFKXmHfzN6wIAgGoQwMz+4y+tDd0oB0cHPfrE/br+5ivl4OBgcY6xLPWP3/6md9/8RGtXbzRfc+nlF5XGuFHFBXpaBjARCUxBAgBUHsZS0+OmDNK+bacUGZ6ogGAPszLGCFGMFZOMEGblvMPavi7CnIqUl7TUTP3z91FzM17fe3gD9bqovnxrsYw1AABVOoCZM+tv84eGh8feo5v+d02e5xhLKt5469XKyMjQpDc/JYBBsQWcF8BEJyUpIzNLjg40KAQAVA7Gz03N2/ub27mMZrtGZYuxGQ15jYDFCGMij+c/3dYIcX77cqd+/3qn2nYLNKcodQgJkpOz5R/DAABAFQhg9u4+IHsHe11zw+UXPPea60fqg3cma8+u/SUdH6qpQE9Pi+dGuyEjhAnystwPAEBlZixJPeLmFrrkpubau/WUGcSsX3ZcaSmZeZ5vVMtsWxNhbp7ezuZS1sYUpbqNfcp87AAAoJQCmIT4RHl6eMjNzfWC5xrNdz08PJSYkFTE4QB5V8DkTEMigAEAVNVqmRYd/M3tpoc6aO2SY1o574gO7ozJ9zUJZ9K04Of95tawRQ2zKqbHYKNxr3OZjh0AANg4gPGp4a3YmNOKO33GfLsgxjnx8Qnm0tSArQIYGvECAKoDNw8n9b+0kbmFHz6jlfOPKPTvozoTm5rvaw7vOa3Dezbrx0+2qku/s417W3SsJXt7GvcCAFBRFLqhRtv2rczVj6Z+8d0Fz5365ffmuW3atSrp+FBNnd+E10AAAwCoboIbeuu6+9rprZ+G68EJPdWhV1CBoUp6WpZWLwzT24+t1DO3/KU/p+/SqQgqkgEAqFQVMFdcfYmWLV6l6V/9qPT0DN3zwG3y9vGyOCf+TLy++Owbzfj6R7OU9qprLy2NMaMaCPCw7vUSkZh/c0IAAKoyR0d7de4TbG6nT+U07j2iiLD8VwmMPpGk37/epT+m7lLrLgHmFKVOfWrTuBcAgHJil22UqhTSc09M1LzZC81wxcnJUS1aNVNQ7QDzWMTJKO3eudcMZ4xLXnLZEE188/nSHHulEhISYj6GhoaW91AqjYCJbyo+NS33+cO9euiN4UPLdUwAAFQUxs9b+7fHmI171y05ptR8Gveey8PbWT0H11OfSxqoflOmigMAUGEDGGN56Y/f+0LfTvvZfNu8gN3ZMticyzg6OurmUdfqwTF3mm/jLAKYoms76WMdiInNfX5D+7b6+tor+CcFAMB5kpPStX7pcbMqZv/2U4W6P/Wb+aiv0bh3SD15eNG4FwCAChXA5IiKPKWFfy3Vzu17FPPvL8i+vjXVpl1LDR7WX7UC/EpjrJUaAUzRfRy6Vknp6Qry9DSb8jbx81VTP99S+OwAAFB1nDwarxXzjuifv44U2Lg3h6OTvTr3DTYb97bqHEDjXgAAKlIAg6IjgAEAAGUpIyNL29dGmFOUtoaeVGbmhX/k8w10U++L6qtOIx9zSlNAsIeatfPLrXgGAADFRwBTRghgAABAeYmLSVHogqNaOfeIThyNL9Jr6zb21kOv9JJ/kHupjQ8AgOqg0AFMYkKS1q3dJA93N3Xr2bnAc9eu3qikpGR179FJ7h78Z20ggAEAAOXN+LHvwE6jce8RrV18TKnJZ3v6XYibh6Nue7yzOoTUlrOLQ6mPEwCAqsi+sCcaqx89Nvp5rVy+5oLn/j1viXnu3/OXlHR8AAAAsBFjKlHTNn4a9XhnTfrlEt3+VBc1a3/h3n3JiRn67OW1euTKOfr81XXaEnpCGelZfF4AACiNAGbJwhXm40WXDLrguSOvvNj8C8uiv5cXZSwAAAAoIy5ujupzcQM9/X5/vTJ9qNr3DLzga4yKmdULwvTBs6Eae81cTXt7o3ZvilJWIfrLAABQ3RV6negjh8PMZaVbtm52wXON1ZCMc48cCivp+AAAAFDKgup5afiNLbR1dUShX5N4Jk3L5xw2Nx8/V3UbUEfdB9VT41Y1adoLAEBJApjoqFPy8HSXvf2Fi2YcHBzMc6OiThX28oCVlPQM/b5ztyITExWZYGwJurFDOw1s0oi7BQCAjRmrHdVr6qOw/XFFfm3cqRQt/OWAuRnNersPqqvuA+uqbhMfwhgAAIoawLi4upiNeLOysi4YwhjnGOe6uDgX9vKA9b+j7Gzd/vPvFvtaBtQigAEAoJT6w4yeEKKPXgi1CGGMUOb2Jzvr0K5Ys3Hv3q3RKmgJh+iTSZr73V5zq93AywxijEDGqLIBAKA6K3QAU6dusPbs2qeN67eqa/eOBZ67cd0WZWRkqFGTBrYYI6opd2cnebk4Kz41LXefUQkDAABKh1G9Mm7KIO3bdkqR4YkKCPYwK2OMcKZBs5oaMLKxYqOStW7pMTOMObQ7tsDrnTgSrz+m7jK3Bs1qqPvguuo2oK78AlklEwBQ/RQ6gAnp3VW7d+7VB+9M1pczPpCTs1Oe56WlpemDd6eY/1EbrwFKIsDD47wAJoEbCgBAKTJ+hmve3t/c8lKzlpuGXdvM3CKPJ2jdkmNas/iYjh86U+B1j+w7bW4zP9uupm391GNQXXXpX0c+vq6l9JEAAFCx2GUbyxUVsgfMyItuVmpKqtp1aK3Hnxmttu1bWZyzdfMOvfP6x9q2Zac5ZemP+d8oILBWaY29UgkJCTEfQ0NDy3solcqgz6cq9Oix3OeDmzTS7FE3l+uYAACAtWOH4syqmHWLj5nVM4VhZy+16hxgTlPq0i9Y7p5MXwcAVF2FDmAMf89brGcfn2guMW2oUdNHtYPPLll4IjxCp2PjzGNGj5iJbz6ni0cMLr2RVzIEMMVz4/c/m414c7QNDNC60ffY7PMCAABsy/hZ8PCes/1ijOqY2OiUQr3O0clebbsFmtOUOobUNpfJBgCgKinS/2zDhg+Sl5eXXn35XR0/dkKxMafN7Vx16wfrmRceVUifbrYeK6qhQE8Pi+f0gAEAoOJPYWrU0tfcrr2vndlPZu3iMK1felwJZ/6bVny+jPQsbf7nhLk5uzqoY6/aZmVM2+6BcnJ2KNOPAQCAcq+AOXeVo/VrN2vThq06FR1j/kfr5++rjp3bmQ16C7NUdXVDBUzxvLpkuSYsXp773N7OTmdeekYO/BsDAKBSycjI0q6NkWZlzKaV4UpOzCjU69w8nNS5b7B6DK6rlp1qycGBnzMBAJVTsWo7jYCle8/O5gaUpoDzKmCMpamjk5IU6OnJjQcAoBJxdLRXu+5B5paelqlta06aYcyW0JNKS83M93XJielaNf+IuXnVcFHX/nXMMKZJGz/Z29uV6ccAAEBJMLkWFVqAh3XQEhGfSAADAEAlZkwp6ty3jrklJ6Vryz9GGBOm7esilJmRf3F2/OlULfnjoLn5Brip28C65jSlBs1rmBXZAABUZAQwqNACvSwrYAyRicZS1GebPwMAgMrNzd1JPYfUMzejR8zGFcfNypjdm6OUnZX/62Iik/XXj/vMLbCupxnEdBtUR4ln0s1VmAKCPdSsnR/BDACgwiCAQaVqwmugES8AAFWTp7ez+o1oZG5xMSlm416jMmb/jpgCXxdxLEF/zthtbueq19RHoyeEyD/IvZRHDgDAhdHFDJVvClJCYrmMBQAAlB0fX1cNvqqJnvlogN74/iJdc09bM1ApirD9cZp4/xLt2xatrMwirzsBAIBNUQGDCs3d2Umezs5KSPtv2UoCGAAAqhf/IA8Nv7G5uZ04Gm9WxaxZfEwRYca05IIZfWNef3i5vGu6qEOv2urUu7ZadwlgaWsAQJkjgEGlmIaUEPNfABOZcOEftgAAQNVUu76XLh/VWiNva6WwA3Fas+iYVsw9ZPZ+KciZ2FStmHPY3FxcHdS2e6A69g5W+55B5tQnAABKGwEMKsVS1AdiYnOf0wMGAAAYqx7Vb1rD3Nr1CNRbj64o9E1JTcnUhuXh5mYsZd28g79ZGWMEMvSLAQCUFgIYVHgBnmf7wNjb2SnAw0M+rq7lPSQAAFCBtOjgb/aHMXq+FFVWVrZ2b4oyt+8/2mpep1OfYHXuXVt1m/iwihIAwGbssrOz6UhWBkJCQszH0NDQsnh3VUr4mXg52tvLz91NDvb0jQYAANaiTybpoxdCLUIYI0y5/oF2OrLntDatDNeBnTEqyk++foHu6tTH6BsTrGbt/eTgwM8hAIDiI4ApIwQwAAAApcv4u+K+bacUGZ6ogGAPNWvnZ1HBYixtvSX0hDavOqEd6yOVkZ5V6Gt7eDurfY8gM5Bp2y1QLm4UkgMAioYApowQwAAAAFQcKckZ2r42wgxjtqw+oaT4gpv4nsvJ2d5cScmojOnQK0jeNZkeDQC4MAKYMkIAAwAAUDFlZGRp39ZobVp1QptWhSsmIrnQrzUKbJq08cudqhRY92zvOgAAzkcAU0YIYAAAACrHNCZjeWujZ4wRyBS1sW9wAy917F3bbOTbsEVNc5UlAAAMBDBlhAAGAACg8ok+mahNK09o8z8ntHdLtLlqUmHV8HdVx15nK2NadqolRyea+AJAdUYAU0YIYGwnIzNL6VmZcnNysuFVAQAACpZwJk1bV580q2O2r4tQWkpmoW+Zq7uj2v3bxLdd9yC5e/JzDABUNwQwZYQApmSu/fYnHYqJVWRioqKTkvRwr556/eIhNvrsAAAAFE1aaqZ2bYw0w5gtoSd1Jja10K91cLRTy461zk5V6h1sVsoUtHoTAKBqYP08VAq7IqN0ICY293lkQkK5jgcAAFRvzi4O6hBS29yyMrN1YGeMNq8K18aV4Yo8nljgazMzss1lsI3t2/e3mNcyAp0c9Zr6aPSEEPkHuZfBRwIAKCsEMKgUAjw9zgtgCv7BBgAAoKzYO9iZVSvGds29bXXiSPzZFZVWhuvQ7v9+fsnPueGLwWj8+9ajyzXu80Fy93QuxZEDAMoSAQwqhQBPyyUdCWAAAEBFZEwdCm7obW4jbm6h2OhkbfnnbBiza1OUWf1SGNEnkzTm8tlq0tZP7boFqm33QNVrWoNVlQCgEiOAQaUQ6Olh8TyCChgAAFAJ1PR304CRjc0tOTFd29ZEmFOVtq45qeTEjAJfm5Ul7dt6ytx+/XKnvGq4qE23ALXtFqg2XQPkXdO1zD4OAEDJEcCgUgYwRiPezKwsOdiznCMAAKgc3Dyc1H1QXXPLSM/Swt/2a+an2wv9+vjTqVq9IMzcDA2a1zDDGKM6pnFrXzk68nMRAFRkBDCoND1gzpWVnW2GMIHnTU0CAACoDByd7HXRtc3MMMXo+VIcR/aeNrc53+6Rm4ejWnX+tzqmWyANfAGgAiKAQaUQ4GEdtBh9YAhgAABAZe4XY6x29NELoRYhTJ1G3hp4eWMd2Rur7esiFRuVfMFrGdOZNq4INzdD7fpeZmWMMWWpRYda5kpLAIDyRQCDSlkBY4hISFA7BZbLeAAAAGzBWGp63JRB2rftlCLDExUQ7GGupmSEM4bs7GyFH47X9nUR5rZ3S7Q5felCThyNN7cFP++Xk7O9WnTwNytjjFDGCGdyrg8AKDt22cZ3dZS6kJAQ8zE0NJS7XQyHY2PV6t2PLfZ9efVI3dSxPfcTAABUG6nJGdqzJTo3kIkISyjyNXwD3dS269kwxpi25O7pVCpjBQBYogIGlXYKEishAQCA6sbFzVHtewaZmyHqRKJ2rIvQtrUR2rUxygxoLiQmIlnL5xw2N3t7OzVp42uGMUb/mPrNWOoaAEoLAQwqBXdnJ3k6OyshLc2iBwwAAEB1Vqu2R+4y18bUpAM7TuVWxxzdd+HmvllZ2eb0J2P7LWep664B5nQl49HHl6WuAcBWCGBQqfrAJMQQwAAAAOS3slKLjrXM7eq72youJkU71kdq+9oI7VgfoYS4/36OKnCp64Vh5mZo0KyG2ci3bfcgs1KGpa4BoPgIYFBpBHp66GBMrEUTXgAAAOTNqF7pNay+uRmVLkf3nTanKhmBzMGdMea+Czmy77S5zf1ur1zdjaWua5lTlYwpS/5BHmaT4PwaCAMALBHAoNII8LTsA8MUJAAAgMIxer00bFHT3C67taWSEtK0c0OU2T/GmK4UE3nhpa5TkjK0aeUJczPUqu2u5KQMi8qaek19zKW1jdWdAACWCGBQqSpgzhWZSA8YAACA4nD3dFbX/nXMzahiOXHk36Wu10aYqywVZqnrqBNJVvvC9sfpncdX6OUvB8vZhV81AOBcfFdEpdGxdpAubt7UDGKMfjC1vbzKe0gAAACVnjFlKLiht7kNu7aZUlMytHdr9NneMesideJofJGuF3k8UaNH/Kmmbf3UolMttezgr8atfeXk7FBqHwMAVAZ22UbkjVIXEhJiPoaGhnK3AQAAUGlEn0z8t5FvpHZuiDSnIhWVk7O9mrTxU4sO/mrZqZYataxJIAOg2iGAKSMEMAAAAKjsMjKMpa5jtGLOIYUuOLtSUnE4uziYqyoZKza17Hg2kDFWcQKAqowpSAAAAAAK98uDo71ZxdK8vZ+OHTpj9nwpjrTUTO3aGGVuBmdXB3PKkjFdyZi2ZDQLZslrAFUNFTBlhAoYAAAAVCXRJ5P00QuhFiFMcEMv9R3RUOGHzmj35mhFhRdv0QQXVwdzSWujQsbYGjSvQSADoNIjgCkjBDAAAACoaox2kvu2nVJkeKICgj3M0MRo6pvjVESS9myOMsMY49EIbYrDxc3RvLYxXalFR38zkHFwYMoSgMqFAKaMEMAAAACgujMa+uaEMbs3RykmIrlY13F1/zeQMVZZ6lhL9ZvWkL3Df8EPAFRElSaASUxM1KRJk/Tzzz/rwIED5r4mTZro6quv1tixY+Xh4VHkayYkJGju3LlasGCB1q9fr4MHDyopKUk1a9ZUu3btzGvfcccdcnV1LfH4CWBs40R8vMLPxCsiIVGRCQnyd/fQpa2a2+jqAAAAKCvGryFGRczuTVHasznaDGRio4oXyLh5OKp5e/9/m/r6q14TAhkAFU+lCGDCwsI0cODA3ODFzc3N/IadkpKSG8QsWbJE9erVK9J1mzVrpv379+c+d3Jykru7u+Li/pvH2rx5czOkMd5HSRDA2Magz6cq9Oix3OeDmzTS7FE32+jqAAAAKC/Gz/dGzxgjiMkJZE5Hn/15v6jcPZ3+DWTOLntdt7GP7O2pkAFQvir8KkiZmZkaOXKkGb4EBgbq66+/1sUXX2wemzdvnm6//XbzmHHOhg0bZG9f+Lmg6enpatmypXmNSy65RG3atDHnrMbExGjy5MmaMGGC9u7dax7bunWrXFxcSvEjRWEEeHpaPI9MKF5jNwAAAFQsxs/hAXU8za3fiEZmIBN5PPHfCpmzU5biYlILda2khHRt/ueEuRncvZzM1ZtadKhlBjJGs2BjOe38etcAQLWsgDECF2MakGH58uXq27evxfEVK1aoX79+ueeOGjWq0NdeunSp+vfvn+832++++04333y2uuKbb77Jfbs4qICxjTF/ztOUtRtynwd6eujwU4/a6OoAAACoqIxfWyLCEswgJqePzJnYwgUy5zOqYbKy/vs1qF4TH42eGCL/IHcbjhgAKlkAYwQkRvBiPBqBSV6MAMYIYgYMGGBORbJl9Y3RDyY+Pl5jxozRe++9V+xrEcDYxiuLl2vikuW5z+3t7HTmpWfkUITKJwAAAFR+xq8xJ47Gn52uZFTJbIlW/OniBTI5Ky0NubqxmrX1V+PWvvLwcrbpeAGgQk9BSk5O1sqVK823jWlA+RkxYoQZwBib8RqjR4wtODg4mH1hDBkZGTa5Jkom0Muy2XKW0bwtKUmB501NAgAAQNVmVLEHN/A2t4GXNzYDmfDD8bnTlYxgJuFMWqGvl5qcoTnf7JVkbFJwAy81aeunpm181bSNnwLreTJNCUDVDWB27dqlrKws8+22bdvme17OMaNiZffu3erUqZNN3v/mzZvNfjCGDh062OSaKJkAD+ugxegDQwADAABQvRmBTJ1G3uY26Mom5hSj8MNnchv6GhUyiUUIZMKPxJvbijmHzeee3s5q0sZXTdqcDWUatqwpF9cK/esUgAqmQn/HOH78eO7bdevWzfe8c4+Fh4fbLIB58sknzUdfX19de+21NrkmSibA03q5cRrxAgAAIK8+L8bqR8Y2+Kqzgcw/84/o67c2FutmGdU0W0JPmpvBwcFO9Zr6mIFMs7Z+atLWV7616CEDoJIGMEbvlRzG8tD5OffYmTNnbPK+J06cqAULFphvv/POO6pRo0aRer2cb/v27WrVqpXFx4Si88ijX/KR6FP/b+8+wKOo1gaOv+kJSYBQktBBugKConQRFFFQP7GiqIAV+722iwUQQa8oonIVuTaQYm9XLigqoBRRUS8KiPReEkgI6X2/5z1h15TdkG3J7ub/e555stmZnT07M2dn5t1z3iMZCY3ZnAAAAKhUt/4NpNlHsXJgV8Vr8tCwICksqHp6zKIii+zekmamZZ/sMM/VbxQpbTrXk9ad6kubTvWkWZtYCQklVyFQ28TGxvpfAKamzJs3TyZOnGge33rrrU6NrATvamwnEJecxVDUAAAAqFo3pZsfO13efOq3MkEYDZTo8+ERIbJ7y3HZtTlNdv+ZJnu3pUtBfklKhKpIO5or/1ulU5L5Pyw8WFp2qGeCMW0615fWHetJdF2S+wK1Vai/RI2ys7MdLld6Xt26dd16z4ULF5phrzWJ18iRI+XVV1916vVr166ttGWMo0gYqka3Xkx4uGTm/9V/93hBIdsVAAAAVbuejI2VyW+eL9s2pEjywSyJbxot7bs2tCXYbdK8ofQ5r2TZwoJi2bcjTbZvTJXtG1Nk+6YUE2SpKg3e7Nh4zExWiS1iSvLIdClJ7pvYMtZ0lwIQ+Hw6ANOsWbMy+WC6detmd7n9+/fbHjdt2tStli9jx441iX81+LJgwQIzEhJ8Lw9MZupfARhywAAAAMAZGmzp0K2RmSoTGhYsbTo1MNOQK9uZH2lTk3NMIGaHBmU2pci+7cdNfpmqOrwv00xrvtxj/q8TE1YmuW+bzg0kMsqnb9MAuMina7bmTAkODjYBkQ0bNshFF13kML+K0mBJp06dXHqvN998U2677TbzXtdee63Mnz+f4IsPB2B2pv71KwJdkAAAAFBdgZuGCXXM1GtwC9vw1bu2aCsXbSGTKjv+SHVqtKXszALZ8GOSmcx7BIu0aFvPtI6xtpTR97O20NEgkKPWOwB8m08HYKKioqR///6ycuVKWbJkiW1UovJ0nhowYIB5jbNee+01GTdunPkyGzVqlLz99tsEX3xY+SGnkzIya6wsAAAAqN0iokKlU/fGZlLaGiZpf6bpsrRjU0lQ5tCeqg/EYSkW2bvtuJmWf7bTltxXgzFNWsbIuhUHzPqtdCSmu6f0kUaJjMAE+DqfDsAoTYCrAZjvvvtO1qxZI/369SszX5/T+Wr06NFOr19zvNx1110m+KKvf+utt0yrG/iuhHJDUdMCBgAAAL5C87k0aRlrpgHDWtuGsN75R0mXpR2bUmXn5lTJzy2q8jo178wv3x2wO0+7QL3wj9Xy5FvnS0gI9zGALwuyaOTBhxUVFUnPnj1l/fr1kpiYKHPmzJGhQ4eaeUuXLjU5Ww4fPizdu3eXn3/+uUzLlW+//VYGDRpkHuvryo9mNGvWLLn77rtN8OXmm282LWG8FXyxJuF1lKQXVffU8pUydUVJ0E0FBwVJ+hOPSAiBMwAAAPiBoqJi2b/jeEmXpRNdl1KSHA86UhVh4SFySuc4adUxTlp3rC9tOsZJ46bRdE8CfIjPt4DRgMrnn39uAik7duwweWCs3YxycnLM37Zt25plnE2Yaw2+qEWLFlWawLdv377yySefuPVZ4LkcMKUVWyxyNDu7QtckAAAAwBdpS5VWHeLMdN6Itua5Y0dyTP4Ya9elPdvSpKiw6r+VF+QXyZbfjprJShP8tj4RkNH3atMpThrERxGUAWqIzwdgVIsWLeS3336TGTNmyMcff2wCMUpHRbriiivkgQcekOjosjflVVG68U9ycnKly6amprpQcnjD+e1OkXdGXmECMRp00S5JOjQ1AAAA4K/iGkdJz4HNzKTy84pkz9ZjJUNgb0oxgZWczAKn1qkJfv/4JdlMVrH1I0xApnWHksBM605xUr+h83k0AQRgF6RAQRckAAAAAK7S0Von3rTMqYS+VaVJfksHZPSxBmoAeBYBmGpCAAYAAACAO44ezpaXJ6w1iXetElrESN8LWsrRQ1mye0uaHNiVbkZicpcOfW0CMqYLU0lwpk4Mrc4BdxCAqSYEYAAAAAC4SzswbNuQIskHsyS+abS079qwTE6XvNxC2bfjuOzZkia7txwz06G9GeKJfg/xzaJLBWTipGX7ehJVJ8z9FQO1BAGYakIABgAAAEBNyMkukL3bjptgzB4NymxNk6T9mW6vV+M+iS1jTZclTfDbqmN9adG2nkRE+kWqUaDaEYCpJgRgAAAAAPiKrIx82bM1TXZv1VYyabL7z2NuD4WtgoODpGnruiVDYWs+mY5x0qxNXQkNC6605Q5QGxCAqSYEYAAAAAD4soy0vL8CMie6L6UdzXV7vcEhIiGhIVKQV2R7rnnbenLP1D7SKLGO2+sH/AUBmGpCAMazPt74h6zctUeSMrMkOTNTGkRFyUfXX+PhdwEAAABqt2NHc0paypwIyGhwRgM1nqCtYnr0byIt25V0XdKgTP2GkbSMQcCicx78kgZfXvvpF9v/CTHRNVoeAAAAIBDFNYoyU/e+TWxJgFOTc8oEZPRvdmaB0+suLCiWdSsOmMkqpl64CcaUnpq0KunCBPg7AjDwS/HRZQMuR7Kypai4WEKC+WIGAAAAvEXztugQ1TqdeU4zW1DmyMGSYbB3lUr0m5dT6PT6M4/ny+Zfj5jJKiQ0SJq0rFsSkGn3V2Amtn6ERz8b4G0EYOCX4su1eCm2WCQlO6fC8wAAAAC8H5SJbxZjprMHNy+5Pi+2mJGW1n69VxYv2OLW+osKLbJ/53Ezrf36r+frNYys0FomoUWMhITwoyx8EwEY+KWEmJgKzyVlZhKAAQAAAHyAjobUpGWsjLjpVPn9h8Oyb/vxCstE1gmV8MgQSU91LafM8ZRcM238Kcn2XFh4sBmFqUxgpl09qRMT7tbnATyBAAz8kr2WLsmZWTVSFgAAAACOW8fcPaWPvDxhbZkgjAZF9HkdBUmT+u7bcbxk2l7y99CedCkqsji9WQvyi03SYJ1Ka5AQVSooU5L0t3HTaBMoAqoLARj4JXtJdwnAAAAAAL5HgyyTXhss2zakSPLBLIlvGi3tuza0jXakuVxOPTPeTKUT9GoQxhaYOTFpjhhXpCblmOm37w/bnouIDJFmp5TtwtTslLoSVSeszGs1x42jsgPOIACDgGkBk5RFCxgAAADAF2nAokO3RmaqCh31qIUOT92ufplASFpKruwvF5Q5vC9DLMXOlykvt0h2/pFqptI0yNL8REBG88x889F2Obgnw27rHcAZBGDgl6LDwyU6PEyy8v8a7i4pI7NGywQAAADAu0Ec67DYXXsl2p7PzyuSg7vTbd2XrFNOlvNDYytt6aLTr6sO2p2v7zP9gVXy8IsDTFloDYOqIgADv07EuzP1mO1/uiABAAAAtU94RIi07hhnptKtZVKScmT/jrQyQZnkA55pNa/Dbj909ZdSJyZMmraKlSat65q/TVvVlaZtYgnMwC4CMPDrbkhlAjB0QQIAAABworWMdhHSqXu/prZtkptTWDKkdamgjD7W7kiuyM4skO2bUs1UfoQnE5DRwIw1ONO6rjSIp8VMbUYABn4rPrpsHhhawAAAAACoTGRUqLQ7raGZrIqLLXLkUJbpWlQ6MJOSlO3yxszNLpSdm4+ZqbSIKGtgpqS1TJMTgZmGCXUYkakWIACDgBkJKSmTHDAAAAAAnKNDUSc0izFTz4HNbM9nZeTJ1Du+9Vi3JZWXUyi7/jxmptLCI0OkScu/ujCZv61ipVEThsoOJARg4Nc5YEo7kpUtRcXFEhIcXGNlAgAAABAYomMj5IHpA+TlCWtN6xgrbb0y/LqOknE83wyVrSMkHdidLtkZriX9Vfm5RbJna5qZyue3SWwZUxKQKdWVqbEGZkIYCtvfEIBBwAxFXayJtrJz7A5RDQAAAADO0hwyk14bLNs2pJiRkXSI6vZdG1YY+UiT/qYfyzOjMWlAxvzdXfI3Mz3f5Q2vIzzt3XbcTOWH6S5pMVOSALjZiS5NjZtFS0hIsK1MJys3qhcBGPgte4EWzQNDAAYAAACAp2jQokO3RmaqbJl6DSLN1PmM+DLz0o/llg3K7EmXQ3syTMDGVYUFxbZcNeUDM4ktYqRBQh3Zs+WYHE/96z1atKsnd0/pY4JKqBkEYOC3NNBSNyLC/DVTdLSEnYj2AgAAAIAvqBsXaaZO3RuXeT7juLaYySjpxrS7pBuTPi4dNHElMLN/Z7qZytNuVJNu/kb6Dm0pTVrESkKLGEloHmtGZtI8OPC+IIu2S4LX9enTx/xdu3YtW9tD9NClCR0AAACAQKJdlqxBmYOl/qYdzfXK+4WFB0tC85i/phaxkmj+xkhM3XDuuTyIAEw1IQADAAAAAHBVdmZ+ma5MGqQ5sDtDjh3J8dpGrRMbVhKMaV7SYsYamNERo3RIbTiHAEw1IQADAAAAAPC0nKwCk1Pm4ImAzPYNR2Xn5rLDXHtDXKPIktYypitTyZTYIlYaJtaR0FBSQ9hDAKaaEIABAAAAAFRHqobJty0vM3R26e5GEiRSkFfstfcPCQmSRk2jT7Sc+Sswk9A8Ruo3iqzVXZoIwFQTAjAAAAAAgOpw9HC2vDxhbZkgjHUUpIYJUSafTNL+TDm8L8P8NY/3Z8rRg1lSVOS9NLERkSES37xUV6bmf7WgiY4Nty0XqENoE4CpJgRgAAAAAADVxZUgRmFhsaQczjaBmcP7SgIzZtqXIce8lATYKrZ+hAnE1GsYKds3psjxlNyAG0KbAEw1IQDj3S+W9Lw8Sc7MktScHOnVorkX3w0AAAAAap/cnEJJPqDBmJLWMvo3aX9JoCY7s8Dr79+iXT2Z9Npgv24JQ9pi+LWZ3/8oE79eLnmFReb/4KAgSX/iEQkJJukTAAAAAHhKZFSotGxX30zlfxDXobNNYOZEl6bSrWcKCzyTb2bf9uOmRU+Hbo3EXxGAgV+LCg21BV9UscUiKdk5Eh8TXaPlAgAAAIDaQFukxNaLMFO7Lg3LzCsutkhqco5pKZNkbTlzYjp6OEssTsZmtDsVARightgLtGhXJAIwAAAAAFCzgoODTN4WnU7rmVBmXkF+kRw5lFXSWuZEd6ZdW47J/h3pDtenuWz8GS1g4NfsBVqSMjOli8TXSHkAAAAAACcXFh4iTVvVNVNVhtDWHDCaSNifkSgDfi0xJsZuCxgAAAAAgP91Z7p7Sh8TbCnNOgqSPyfgVbSAQeC1gMkiAAMAAAAA/qhRYh0z2pGzQ2j7AwIw8GvR4eESHR4mWfl/DXtGCxgAAAAA8F9BQUEm2a4/J9y1hy5I8Hvx0WVbwSRlZNZYWQAAAAAAsIcADPxeQmzZPDDJdEECAAAAAPgYAjAIuBYwdEECAAAAAPgaAjDwewnlEvESgAEAAAAA+BoCMAi4kZCOZGdJUXFxjZUHAAAAAIDyCMDA7yXElM0BU1RskZTsnBorDwAAAAAA5RGAQcC1gFF0QwIAAAAA+BICMAjMAEwWQ1EDAAAAAHwHARgEXBJelZSZVSNlAQAAAADAnlC7zwJ+JDEmVu7qc7YkREdLQmy0xMfESPcmiTVdLAAAAAAAbAjAwO/VCQ+T6cMuqOliAAAAAADgEF2QAAAAAAAAvIwADAAAAAAAgJcRgAEAAAAAAPAyAjAAAAAAAABeRgAGAAAAAADAyxgFCQHhQHq6rN69V5IzsyQpM0uSMzNl2kVDJC4qqqaLBgAAAAAAARgEhp/3H5QxH35W5rl7+/YmAAMAAAAA8Al0QUJAiI+JrvBcclZmjZQFAAAAAIDyCMAgICTYCcAkZWTVSFkAAAAAACiPAAwCQnx0TIXnkrIIwAAAAAAAfAMBGASEmIhwiQ4PK/OcJuQFAAAAAMAXEIBBwIiPLtsNSUdCAgAAAADAFxCAQcCIjynbDYkWMAAAAAAAX0EABgGbiDeJLkgAAAAAAB9BAAYBG4ChBQwAAAAAwFcQgEHAiC8XgDmSnSXFxZYaKw8AAAAAAFYEYBCwOWCKii2SkpNdY+UBAAAAAMCKAAwCtguSSspgKGoAAAAAQM0jAIOA7YKkkrMYihoAAAAAUPMIwCCwW8AwEhIAAAAAwAcQgEHAiI8umwNGMRISAAAAAMAXEIBBwIiJCJfo8DDzODgoSOKjK7aIAQAAAACgJoTWyLsCXrJm3M1SPypSGtWpIyHBxBcBAAAAAL6BAAwCSsfGjWq6CAAAAAAAVEATAQAAAAAAAC8jAAMAAAAAAOBlBGAAAAAAAAC8jAAMAAAAAACAlxGAQUArKi42EwAAAAAANYlRkBBQdqSkyn2LvpDkzCxJysySo9nZsmj0tTK47Sk1XTQAAAAAQC1GAAYBJShIZNmOXWWe00AMAAAAAAA1iS5ICCjx0TEVntPWMAAAAAAA1CQCMAgoMRHhUicsrMxztIABAAAAANQ0AjAIOAkx0WX+T87MrLGyAAAAAACgCMAg4MTHlO2GRBckAAAAAEBNIwCDgBNfoQUMOWAAAAAAADWLAAwCvgsSOWAAAAAAADXNbwIwWVlZMnXqVOnevbvExsaaSR9PmTLFzHNHQUGBzJw5U3r37i1xcXESHR0tnTt3locffliOHj3qsc+AmgnAHMnOkuJiC5sfAAAAAFBjQsUP7Nu3TwYNGiQ7duww/0dFRYnFYpHffvvNTG+//basWLFCWrRo4fS6jx8/LkOGDJF169aZ/8PDwyUsLEz+/PNPM82dO1e+/vprOf300z3+uVA9OWCKii2SkpMtjaPLBmYAAAAAAKguPt8CpqioSC699FITfElISJAlS5aYFi/Z2dmyePFiiY+PN/N0meLiYqfXf8MNN5jgS0xMjMyfP9+sOzMzU77//ntp3769HDlyRIYPHy4ZGRle+XzwvHg7gRbywAAAAAAAapLPB2DmzZsn69evN48//PBDueiiiyQoKMhMw4YNk48++sjM02V0WWdoq5lFixaZx6+++qpcf/31Ehpa0iioT58+JsATEREhBw4ckOeff97jnw3Vk4RXJTEUNQAAAACgBvl8FyTtAqQGDhwoAwYMqDBfn9Np1apVpivSmDFjnF53mzZt5LrrrqswX1vAXH311aZljAZ3nnjiCbc+C6pHYmzFAMzhjEy/2fzavW7Nnn2yK/WYtGkQJ/1atTABR1/nr+X257L7a7n9uez+Wm5/Lru/ltufy+6v5fbnsvtruf257P5abn8uu7+W25/L7q/l9vey+20AJicnR1avXm0ea2sXR7SLkAZgdNLXaI6YqtDcLurCCy+U4OBgh+vWAMyuXbtk27ZtJigD35ZXUFThuce/Wi79WreUVvXrl3k+My/frfcKCwmWiBOtpsorLCqW3MJCp9a3L+243Pjhp7IxKdn23OmJCfL+qKsqlD2vsFAKipzvdldaTES4w3lZ+flisbhe7q6J8fLhqKsrlFtpUuTsggJxR0RoiISFhNidl19YJPlFFY+Dqpa9S0K8fHjd1dK6QcWyq5yCApNbyFXBQUFSJzzM4ckmK7/A5XLPu2qEtG3YQMJD7W+bgqIiySus2rZxJCosVEIcfGfmFhRK4Um6g1ZW9pZx9SQ63PFx6W6dDQ0Olsgw+3W2qLhYcgoKXSp3i/r1zP+RoaESGmJ/23iizkaHhzm8+MjOL5BiB5W2KmUPCQ6SqDD7x6Un6mx4SIjD49JRna1Kua3qhIVJcHCQz9RZZ8ru6XOJO3XWmXJ7+lzibp11peyVnUuqq866Uu6arrPWc4mrZfd2ndVNXtm5ZHPSEZfLXR11trJzydYjKTLq/Y9dLntN1dk9aWly9cIP5ffDSS6X25PXf87UWS37NQs/lN/cLLsnrv+cqbOeKndVziWerrN77JTd0T2Rvwmy6N72Ub/++quceeaZ5rF2B3IUhNF5F198se01PXr0OOm6U1NTpWHDhubxK6+8Infeeafd5TZt2iRdunQxjz/55BMZMWKES59FuzSptWvXuvR6VI0ezn1mvVGmspautGvvvKXMl2r9yf9062b09l495cWLL7Q7b/mOnTJ87jviCfbK/uCSr+SVtT+5vE69cMuc/JjD+ae98IrsTD0mni632nLkqHSfOdutdc/6v+Eytqf9uv7C6rXy6NJlbq3/1PjG8vPdt9m9cL7gzXmyavdel9d9RtMmsuaOmx0GGBpPfVbc8ei5/WXCeefanffB75tk9IefurX+1eNukjObNbU7b8yHn8r7v29yed3x0XVkz/j7Hc5PmPqcpOflubz+sWd2l1mXlZwvylu9e68MedO5rqzlfXDdVXJJ54525z22dJnMWO3eOSBz8qMOL37OmDlbNh9xfeS+C9q3lf/ceK3debuPHZPOM14Rd7xw8YUyrldPu/Nm/bBOHli81K31//nA3Q4vyi55+x35ZvtOl9d9mn4f3HO7wxvRuk/8U9zx4IC+MuWCwXbn/eePP2XkuyXdrV217JbR0reV/YEKxn26SN7+9TeX110/MlIOPfagw/ktn5khR7KyXV7/tad3kbeuvMzuvHX7D8g5/54j7ph/9eVyZddT7c57ctm38s9vS34IdFXKhH84vOHS65X1hw67vO6BbVrJlzfdYHfewfQMafvcS+KOZy48X+7r19vuvDfX/Sp3f77ErfX/ft8d0r5RybV4eVcueF8Wb9nm8rrbNWwgG/52p8NrxToTnxJ33NO3lzx70RC7877cul1GzH/PrfV/MXaUnHtKG7tlb/HMDEnJznF53XoTnTpxvMP57afPlP3H011e/+WndZaFI6+o8vW5s964/FIZ1aOb3XnTvl0tTyz71q31H3z0AYkr9WO+J8veu2VzWXGr/d4aKdnZ0vyfM9xa/5PnD5KHBvbzeLmt1t11m3RJjLc777r3PpZPN212ed0t6tWVrQ/e69L9nL/x6RYwmnvFqnnz5g6XKz3v4MGDVQrAuLruqgZaytu4caMZ2ppkvt71w74DDr9o9PlvNm+R3i2a/fWkm+HHgvx8h/s0242TY1XKru/tFotUejy6ktS6Stv8xLDy7srNzXVY/jw3btCt/kg+Yrfs1uTg7tDXOyp7prv7VUR2Hk1xuP7cXPePy+ysbIfrL6ikBUlV5FWybZS7vxkUFBQ4XH9Otus3ibZ15OQ4XH++B/atrttRAMbdOltYWOj4uMz0cp3NzXV7/VmZWZLh4FdR/Wzu0G3r8Jh38/vAemw4PC5zPFBnsyurs+794qp10rt11vFxqZ/LXfqd6Phc4oE6m5khRQ5aqXjzXJLlgdx3ei51fC7xQJ3NypIMBy0xvFln9VrRq3XWA8elXkPaW7+W3Z3gS1Wu/yxeOJdUdn3urJzKziX57l//6WAsoaWOP0+WvdLrPw981+vnt67fk+W2ysrOclj+wkLPnUt+cPZ+zkfFxsb6XxLe0ju4Tp06DpcrPS89Pb3G142aszvtuFvzfZm/lt1fy+3PZU/Ldf8CpKZos3kAALzFX8/t/lx2fy23P5fdX8sd6PdzPt8Cxh856mJkbRnjKBIGz+jctMlJ55fZB262XgsLD3e4T+vUqVouoqoqX3Z9b7cEVX48OsqL5KwK21z713ogQBAZGemw/Dp6mbfKrkIc/MpeVfp6R2UP8sAvro1jYxyuPzLS/eOyTnQdh+sPc5Croaq0z3tlx6W7TU7DwsIcrj+qkmB8VWkOMkfrD3e3zp44hzhqAeNundVRAB2VPcbNX6NPWmcjI91ef3RMtMP1W0c4dJVuW0fr9kQLGD02HB6XVcxrVxn9MclxnbXfOqOqtE56t846Pi7ruNFNovR3ouNziQfqbEyswy5I3jyXZHgglq3nUsfnEg/U2eiaqbMnu1Z0u8564Fyi15D21u+Jsp/s+i/IC+cSj5T7hKjKziXh7l//xcTESGyp711Plr2yOpvv5veB9fNb1+/JcltF16msznruXNLZ2fs5P+PTAZjSG7ayZqal59WtW7fG142ao9mxtW+goz6DOr+0aRcOkSI3mkd3SWjscJ72a35++FCnmt5pfgjtt12Vsl92akc5pUGcuOpkl8SPnjtAjlehK4+z5VaNo6Od2jb29GrhuOvguae0rtL6Kyt714R4u2VXd/Y+Wy47rbO4qnF0nUoTqJ2s7JWVu2ndWLm55xkOX9ujaaLb2755PcffhaO6d5OzK9k3Jyv744MqjnZX2lNDB0u+G0kxT41v5HCe1idH2+Zk5b6/fx9z8aDJ7RwZ3qmDNKtk21VFUCU1V/t9H8vJdbnsLes5Tsin/eHdPW4c1SfVv1XLCuuvarltZawkuHjb2WfKRR1dT6LfoJIgiCZVdLfsWi8d0YTm7m771nGOExZe062LdGuS6FK5VcRJbhomnz9IctwI4HVo1MDhvJb169m2jStlV90r2fZDO7STRtEVR1Z0hiZrdeTv/fvIkawsl8qtmtV1fANSNyLC7eOmb8sWleaymD7sApfLrhpVci686awzZHC7U8RV9SMjKv0u0vK5Wm7VLTHB4bzOjRu5ve01mb6jsrdtECc77OToq2rZNUluZSYMPkcy3UgGq+Vz5vq8quW2cpSDTp3X7hSJrWTfV0VUuUCCJ8ueGBNTaVJq96+Nm3ml3FaJsY7LP/qM06V/65biqthSP1I5ez/nb/wmCe+SJUvkoosu8koS3lmzZskdd9xhdzmS8Poff86a7a9l99dy+3PZ/bXc/lx2fy23P5fdX8vtz2X313L7c9n9tdz+XHZ/Lbc/l91fy+3PZffXcvt72f06AKOJ57QZmCbSmjZtmjz88MN2l9N548ePN826NLdLVZvrNm3aVA4dOmSCLxqEsef999+XkSNHmsdbt251eRhqRkGqXv48bry/lt1fy+3PZffXcvtz2f213P5cdn8ttz+X3V/L7c9l99dy+3PZ/bXc/lx2fy23P5fdX8vt72X32wCMGjhwoKxcudL8/fbbbytd5txzz5UVK1ZUed2jR4+WefPmSZs2bWTHjh12d6h1mdatW8uuXbtc/hwEYAAAAAAAqL18ehQkNWZMyVjp3333naxZs6bCfH1Ogy/WYIkr69bAyrvvvlthvgZlPvjgA5fWDQAAAAAA4DcBmBtvvFG6d+9uHl955ZXy5ZdfmuZIOuljfU7pMjfccEOZ12qLGW3VotPcuXMrrHvQoEFyySWXmMfjxo2Td955x4zPrn744QcZNmyY5ObmSrNmzeSBBx6ohk8LAAAAAAACkU+PgqQ0r8vnn39ugiXaIkUT8VpzvGiOGNW2bVuzjCvD+c2fP1+GDBki69atk1GjRsnYsWPN0HKZmZlmfuPGjU2SX38e6goAAAAAANQsn28Bo1q0aCG//fabPPnkk3L66aebQItO3bp1k8mTJ5t5uowr6tWrZ7oxvfjii3L22Web4I62gunYsaM8+OCDZhQkfU8AAAAAAICATcIbKEjCCwAAAABA7eUXLWAAAAAAAAD8GQEYAAAAAAAALyMAAwAAAAAA4GUEYAAAAAAAALyMAAwAAAAAAICXEYABAAAAAADwMgIwAAAAAAAAXkYABgAAAAAAwMsIwAAAAAAAAHgZARgAAAAAAAAvIwADAAAAAADgZQRgAAAAAAAAvIwADAAAAAAAgJcRgAEAAAAAAPCyIIvFYvH2m0AkISFBsrOzpUuXLmwOAAAAAAAClN73v/766xWeD62R0tRCcXFx4q82btxo/hI8Cgzsz8DC/gw87NPAwv4MLOzPwML+DCzsz8CzMQDvQ2kBg5Pq06eP+bt27Vq2VgBgfwYW9mfgYZ8GFvZnYGF/Bhb2Z2BhfwaePgF4H0oOGAAAAAAAAC8jAAMAAAAAAOBlBGAAAAAAAAC8jAAMAAAAAACAlxGAAQAAAAAA8DJGQQIAAAAAAPAyWsAAAAAAAAB4GQEYAAAAAAAALyMAAwAAAAAA4GUEYAAAAAAAALyMAAwAAAAAAICXEYABAAAAAADwMgIwtUhWVpZMnTpVunfvLrGxsWbSx1OmTDHz3FFQUCAzZ86U3r17S1xcnERHR0vnzp3l4YcflqNHj3rsM0AkNTVV3n77bbnxxhvltNNOk5iYGAkPD5emTZvKsGHDZP78+VJUVOTypgoKCjrp1L9/f3aFB3z77bdV2t6PP/64W+9jsVhk3rx5MmjQIGnUqJFERkZK27Zt5a677pLdu3ezLz2odevWVdqn1slZ1E/Pys7Oli+//FKefvppueqqq6Rdu3YSHBxstvOYMWN84vxH/a2+fZqZmSkffPCB3HrrrdKjRw+pV6+ehIWFSXx8vJx33nkya9Ysyc3N9fp3RPPmzd16j0Dizv7U81tVvjOvv/56t8v5+eefy/DhwyUhIUEiIiKkZcuWpny///672+sOJO7sz3PPPdep8+uePXucLh/1s/rvSQpq4znUglph7969lrZt21p0l+sUFRVliYyMtP2v83QZV6SlpVnOOuss27rCw8Mt0dHRtv8bN25sWb9+vcc/U20VGhpq27Y6RUREWGJjY8s816tXL8uRI0dcWr91HXFxcZaEhAS706WXXurxz1UbrVixwra9HW1rnZ555hmX3yMvL88yfPhw2/vo8VP6eImJibEsXbrUo5+rNuvZs2el+1In67bX701nUT+9VwfLT6NHj67x8x/1t3r3abt27cosHxYWZqlXr16Z5zp06GDZvn27y/u0VatWZj1169Z1+B3Ro0cPl9cfaNzZn7t27bIt26hRI4fb+6677nKrjLfddpvtfYKDg8scM3oMzZ071631BxJ39ueIESNOen7V7a/ratKkiaWwsNDp8lE/q/eeJK2WnkMJwNQC+gXUvXt3203ekiVLLMXFxWZavHixJT4+3szTZYqKipxe/yWXXGI7iOfPn28pKCgwz3///feW9u3bm3nNmjWzpKene+HT1T66PfUm7+WXX7Zs27bN9vzBgwctDz74oO3kM3DgQJfXr5OeJFF9FyLecs8999hOOi+88IIlJyfHPL9x40bL2Wefbau7e/bs8VoZ8JdVq1bZ9vlrr73m9Kahfnq+DmqwedCgQZb777/fnMO6du1a5QCMt89/1N/q3ad689WpUyfLtGnTLBs2bDDXSSolJcXy9NNPmx+vrEGY3Nxcl/ap9QZvzpw5Lr2+tnFnf5YOwOhjb3j++edt7/HII49Yjh8/bntv642fnn9//PFHr7x/bfvOrYxex1ivgR999FGX1kH9rN57kktq6TmUAEwt8NZbb9lODitXrqwwX5+zznf2gmD58uW212rFKW/r1q0mGqrzJ02a5NbnQIlly5ZVuimeeuop2z5ZvXq105uNG7zACcBo/QsJCTHrnzJlSoX5R48etQVg3b3wQdXodrae8DMyMpzebNRPz7L3C2m/fv2qVCe8ff6j/lb/PtXvZGvQxZ6FCxfa9vmCBQtcKh83eNW3P70dgDl27JhpyaTrv/nmmyvM1yBd586d3fpRLNC4sz9PRr9ndT1BQUGWHTt2uLQO6mf13ZMsr8XnUHLA1AJz5841fwcOHCgDBgyoMF+fsz6v/fhcWXebNm3kuuuuqzC/ffv2cvXVV5vH2v8O7hs8eHCl87XvutW6devY5LXYggULTN9b7U973333VZjfsGFDuf32283jDz/80PTNhvccP37cbGc1cuRI01caNSskJMTl13r7/Ef9rf59as0x4cg111xj8ucpzq++vz+97dNPP5X09HTz+LHHHqswX3PBPPjgg+bxd999R841L+7P4uJieeutt8xjzdd0yimneOV94Ll7krm1+BxKACbA5eTkyOrVq81jTYbkiCYOU6tWrTKvqaqvv/7a/L3wwgtNEq3K1r1r1y7Ztm2bU+WH8zS5lFVhYSGbsBaz1s9zzjnHdtPgqH7qiWfNmjXVWr7a5p133rGd4G+55ZaaLg7c5O3zH/XXN28eNSmv4vwKax3VhKF6E2lP6Wtv6/LwvKVLl8q+ffvMY86v/nFP8nUtPocSgAlwmzdvNlFh1aVLF4fLWedppPDPP/+scubrQ4cOVXndauPGjVUuO1yzbNky2+PTTz/d5c14//33m2z+ms1cs4ZrC6rnn3/e9msPPKtfv35mxA39xaxZs2Zy6aWXynvvvefWiFabNm0yf6mfvuH11183f7t27Sq9evVya13Uz5pVHec/6q/vWb9+vdn37p5f1fTp0813vZ5jGzRoYEYAeeKJJyQpKclDpUX51kv6i7dub722GTp0qLz22mtujWplrdOVfQckJiaaa6jSy8N751fd1iNGjHB7fdRP796TpNbycygBmAB34MAB2+PKhjUsPe/gwYM1vm64Jj8/39YMtkOHDmbINVf973//k4yMDKlTp46kpKTIypUrTVNaHWbuxx9/ZBd52Pfff2/7hVXryaJFi+Taa681ga/k5GSn16f7zhosq6x+atPM+vXrm8fUT+/59ddfTZ0q3yTXVdTPmuXt8x/11zfpsKhKAyY6hK479OZAz636HZyWlmbOq5MnT5ZOnTrJ4sWLPVRiWP3000/mGkl/5NBz6ldffWW6H5x55pkut862fg+cbNhw63zOsd6hQcv//ve/5rEOh6xBNndRP717T3Kglp9DCcAEOD0ArfRG2pHS86rawsGb64Zr7rzzTvnjjz9MU75Zs2ZJaGio0+vQk5fe/OuFoTbJ0wtDPbk999xz5otq//79ctFFF9GX2QP0S/+BBx6QtWvXSmZmpskRottcW65Z+6Vqk8iLL77Y6ZYwVa2fpedTP73njTfesDXHvf76611eD/XTN3j7/Ef99T1Tp061NWnX1qDWi3ZnWVs36nlVu3wfO3bM/Bqsv+Drr/d6zr3iiitMwADu0e/bcePGyfLly8121Xql0+7du+WRRx4x10h6zXTBBRe4dP6z1lPOsTVL81cWFBR4pPsR9bN67kkyavk5lAAMEEAXh2+++aZ5PGXKFJOEzNUTmd7w6y98VvHx8ab1i1586heoXjBqU2m4p3v37qaZqzY91+CWlf4COnv2bHn22Wdticvmz5/P5vZTGlTT/C9Kb6zi4uJcXhf1E6h+mgBy4sSJthZsY8aMcXldM2fONN1h9LxqTfirwRy9cdSWkNoVNS8vz9baBq7T7j+vvvqq+eVdt6tVq1at5Omnn7Z9L2tAZsaMGWxqP/+BQ7tyaz4ed1A/feueJFARgAlwpZMOVZbdufS8unXr1vi64ZxnnnlGJkyYYB7rRdujjz7qlU3Yp08fc+GoPvvsMx072SvvgxLaOqZFixa20RacUdX6WXo+9dM7NLu+tm7yVPcjR6if1cfb5z/qr+9YuHCh3HTTTeZ8p6OX6Q29t+ioH3fffbd5rN1+tSUqvEe7kelNuyvn2NL1lHNszdHRpaxdyLx5flXUT8/dk8TW8nMoAZgApwne7PW3K0+7lVg1bdq0xtcN56LM2pRWaSuVadOmeXXz6U2e0htKLg69S5ttWpO17tixw6nX6snHejKprH5mZWWZptmK+und5IDaB1pz+ngT9bN6ePv8R/31nZYv2u1Pu4Bq8EWHNfX2sMjWOqwBHx35A1It29vZc2zp74HKvgNKfw9wjvXe+VVbOLmbl6kqqJ+euSdpVsvPoQRgApw2xbMO7bVhwwaHy1kzP+uFhXZ/qArtotKkSZMqr/tkmajhvEmTJtmizA899JDJ0wJYacJk6mfN0lHlrEMbMjRm4KiO8x/1t2Zp8/mxY8eakSQ1IXp1BF/gX6x1urLvgMOHD8vRo0fLLA/P0Bvnjz/+2DweNWrUSXN9wHfuSRrU8nMoAZgAFxUVJf379zePlyxZ4nA567wBAwaY11TVkCFDzN8vv/zSYXcU67pbt25tmu/BMzSz+JNPPmkejx8/3pYvxNs0YazSyLIO6Qjv0Qt/ayLGNm3aOP16a/1ctWqVSfJbWf3UCxdrU2x4vm96WFiYjB492uublvpZfbx9/qP+1hwdnli7M+h3sN7YaQ6u6gq+WOuw5ofR4wbVs73dOcdq4nzNI2PPF198UWF5eIYGRa3DiFfXDxzUT8/dkwypzedQCwLeW2+9pUe1mVavXl1hvj5nnT9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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "639947423b196effbb132e57b006449f2037eb4d28b5e8c3f263c2e832c382c3",
      "outputs": []
    },
    {
      "sourceHash": "7276984a8d5bb55b3f12b5b0009a8aefb9143798dce907afce1a2f9a8fb07614",
      "outputs": []
    },
    {
      "sourceHash": "390a6942a5ec2d006617ef3fd53b702813c978dcd555287c5bde94eeb5516ee9",
      "outputs": []
    },
    {
      "sourceHash": "02c99073d237ad559d416fa4741074a3af878065f1ffc8d4d99c625c76d08291",
      "outputs": []
    },
    {
      "sourceHash": "a48bdd2e19bf4c4c73884b2b1a6a9f4e30347ecf0eeab11813a9ff9799b4455d",
      "outputs": []
    },
    {
      "sourceHash": "483e41b2995f65b0d12cc7bea1ad11ab32f00f99cbdc4c73c359f0fc25001add",
      "outputs": []
    },
    {
      "sourceHash": "d5e11dd18e7c87619c57efd30dea0052ce7f5e79a16943296865db7eebd61623",
      "outputs": []
    },
    {
      "sourceHash": "32a7624cbdd0c568b1abe59bacc3c12b4189f7012da2d04ea8f36aa36d9764e4",
      "outputs": []
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
