{
  "schemaVersion": 1,
  "lessonId": "posttraining-05",
  "contentHash": "247b12d5db6bb478abfe606e2a31ed9fe445bee53ee43b39281b48654fdf44cc",
  "executedAt": "2026-10-20T10:52:21.092144+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "DPO initial/final: 0.6931471824645996 0.27227783203125 ; reference-corrected margins: [3.0890286  6.17805719 3.08902884]\nDPO initial/final: 0.6931471824645996 0.27227783203125 ; reference-corrected margins: [3.0890286  6.17805719 3.08902884]\nCorrected/unadjusted initial loss: 0.6931471824645996 0.6540467739105225\nLoss before/after: 0.6931471824645996 0.5418724417686462 ; chosen probability: 0.4 -> 0.3\nReversed-label loss: 1.5064733028411865\nReference gradient is zero.\nOne-pair logit gradient agrees with independent margin derivative.\nPASS: posttraining-05\n",
  "notebookCells": [
    {
      "sourceHash": "89e9a194aca573294170920d5d46a46b5dcf28ee1d3591eee6a24deae2791a65",
      "outputs": []
    },
    {
      "sourceHash": "a038c4713523dbf8cb75af64818151e6f1bd1e1e0400c7506876afed89459643",
      "outputs": []
    },
    {
      "sourceHash": "b209d42f847fe185ea779806272b90e08961a57b81b1784e5f5834db6d7beb57",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "DPO initial/final: 0.6931471824645996 0.27227783203125 ; reference-corrected margins: [3.0890286  6.17805719 3.08902884]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "0df6010f22215111b2b02f6aabc2e0d9c7dddc6e89fd82c5b6e19aee85f87a0b",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "DPO initial/final: 0.6931471824645996 0.27227783203125 ; reference-corrected margins: [3.0890286  6.17805719 3.08902884]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "fdf27274b81c532e6ae5c9cf020bfb108f19cae421e56af095c9b207754e8257",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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qTHYAM3PGPPsi1wQaJ4cvhqnRMm3KTPuivqDMCAXDx9erWKUgTmZePG/dvN0GYyboMlNshp39/1NJKoL8nkcjr6kyJky4854b7dS4//6dV6gAxnjoibtPhC+Gl5enrr/xCj1877NauWx1oQKYDp3a5ghfDDM977OPvtGuHXtsoJf9uf6dPkfRR2NscHHqaJdLrjjPjsIpifBixbI12rJpu/3ZfeCxu3JMhTOfe8yNV+j9tz+3gWJ2ABMdHWNve/bumut7z929hjp36XDi4+y2Jlw7dQqiCS279eisskQAgzMaeUUrRR1K0rwpu3PsN6FMQJCHeg1pyFUEAABAmRg0tF+ufeaFqBnZYV6QnRy+nPyirF371lowL1T79hxQk2aNtGLZavvuft8B3VW3XtAZP6+ZfpQ93SavUeDnXjjSBjDmHfe8DD6rX54jesyLXjNiYtCQnKu9Gmb6k4+vt+Ji43PsD114fIR6XkVvDTNdxMPDXRvWbcrd/9FD83yMqRlTmACmpJxadyWbCcRef3eCDcIqkryex5OZ53PhvFA7VceESFmZx8s5mCk+JrQyz6V5TgvCjH4J6ds9134zWsowIWJhmNoxeX3vmvOZAMYEjNkBzJqV6+3t2SOH5Hku831UEgHMqv99X5rvZfNzmtfPlQlgTC0aM5rIBDRt2x8fBDDx8x/lH+Bnf05MMJWXVm1a2sDVBGBmWfQhwweUa5FiAhickfkhvfqezjoakaT1S3MWwfry5ZXyr+VeYu9oAAAAAPkxL7byKqR78MChE9NDzHY6MTHHR25k1+5o3KRgbyZGhkfZ2/qnjL7J1qDh8f2mrkZeTG2LU2W3rVOnVr5T+004dGoAk/31mmkgp5sKYqZfndr/vPph95+yPPSZZE/xiotNsOFCUUfBnFx3xcnZSTVr+qh9x7YaMDgkV32TglQ/yFGCohTKJeR3/YwP3v7cFlM21yM/ZgpRQQMYMwoqr+LIplaQYWrMFEadejlHeZ16PlNDKFt2uJPfY+oUILQsiIgz/FyZUWGmvktqapotvGtGRZmg1YwC+varSbZ+jfnea9aiiXr06mKDxPYd25x4fOMmDfTAo3fqndc/0fPPmJ+XN+3PvJkqePboofZcZYkABgViCu7e+nRPvXLPfFuIN5sp0Pvek0v0+HsDVadRwX6RAAAAAEXh5pY7fDGyso6/6G7esqkd6XI6vjV9yuXi5xUcFTUoOPa/r9cU3g0KqlWox5ZUJtG6TQsbGpmQx6w4ZT4uioLUXclW438jJMxUpfyYWjfZ3D1yj6goredx5vS5+vzjb21RWPOC30yD8Q+oeSJEuv6KO46PGClAjdJsDg4lu+iJYwmfrzzd+9DtuuSK8zVv9iJbqNfUeTG1jMx2wy1X26mKJ0+xM0V5j7ddqVUr1tnRamYzqz+9+HrB68wWFwEMCswsPX3PS330wh1z7ZLU2RLj0vT2Y4v1xAeD5F3zNH9YAAAAUKxCtqaWSmXte2nKrt/SvkNrW4C3MI8xqwAVRK2gwByjT06Vvb92IQKR7LZmNI4ZuZHXKJi8lmEOqnv8caPPG17gGiDZ/c9vWedDBw+rsCNgOnZuZ0OF6X/PKnIAUxhBdY4/Z/v3Hcy3zf79YfbWTOvy8Sm7N4hn/Xt8GWlT4yW7VkmOfp2mzxVRdj2iw2H/v8rTyQ6X0PLgtc/wc2XqFpnRLybIOjU8bdCwnq6+/lK7mVFHZrWopx550Y5CGn3+cDVr3iTH12Nq15jN/KwtX7paj9z7rP75e5Zta6ZnlYWqE4GhTPgFuuvel/vI3TNndhcZlqh3H1+s1JQMngkAAIBSYFYRMtO+K+NWEisgnU6PXl1tvQyzko1Zrahgj+liH7MsdFWOpYTz07X78WKd/0yZmedKq1P+nHG8XSGKepoQyExpMaM25s9ZnOu4WV3p1OlHhim+a8yZtaDAn6trt072dsbUvKdomdVwCmvMzVedKCS8c3vOepGnMi+wC1uz5FTZBVPNkuJmJai8zJ210N526dqxwNOinF2Of3+eburQmcTFHF9VN+iUYs7GkkXLbUHbyiR7Ce7sYOlUpih1Sej6v58rE57kNbIpuz6QWSI+r+lY2cxzbUa5dO/Vxf58nu770QSdZurRsJGD7Mc7tu1SWSGAQaE1aOarO8b3lpNTzoR+1+Zou2R15v8KTQEAAABlwby7fdFl59p3yx++5xmFH84dqJh9Jxd7NfU1zr9olC3e+8C4J3PVbjHL8C4NXXni42EjBtnHmOk2X3zyXY62ixcs0+Tf/7EvAq+85qJC9f3yqy+wt++88Yldejrb0SPRdmntvJiCpS1bN9fc/xbqvTc/zfOF65ZN27RowdIc/Tc1dDZv2manaZzs5+//0Pq1/1+wt6AGD+2n8y8eZUOvm6+/N89AyExRmvTDH3ZVpqNHjqo4zCpDJrAyo5beevUjW5T1ZMuXrNLXX/5k75tREQVV+3+jPfJa8rugTGFnY9L3f+QIh8zIF1N3pLIxq0+ZlYnM94VZTetkZuqOmfJTErr16GxX5jIBlVnG/eTn1HwPf/3FjyemEWUzYY35/KcGoSbgM6toGXXqHq9RY6YnmZ/PU8M1s8z86hXrcrQtC0xBQpG061Zb1z3QRV+9uirH/rWLD+uHd9fqmnuD8y0kBgAAAJQ0U3fj0MFwu9LR+WdfrdZtW9oCtiZg2b1rn31x3apNC517wf9P2THL3poX82Yp3HOHXWXf9ff3r2nDmq2bd9jVVrKXojYrtLzy1jMad8sjttiqGTFilqQOD488sWLMg4/dZT9vYZigYNH8pXZKxAUjrlHPkK72/2gzMqdRkwbqFNw+12ozJuh564MXdMeND+rLT7/X75P+Vqs2zW2B0vj4BG3bstMGSuZFa/bUCjMlx9RaufeOx/Xai+/ZMMqsfmNW6zEvdM1SwyaIKaynnnvQFnH98dvfdP9dT9oaKG3bt7L7jhyJti/gzQgfE/74+Bav/o6ZhvLaO8/qrpsf0XcTJ9nnoFNwO7t/394D2rRhq213yx3Xn1h+uyDMsubme8OEU1ddfIuat2giZxdnBXfpYAOmgrjy2ov1958zbDhhvp/atG9lR8WsXL7WTtUyz41ZyaeyMKtPmeXUTTj54rNv6o9Jf6tx04Y2UDLXOfv7xSzlXBwODg62BsutY+7Tbz9PtqOFzHLZpuBu9kplZtn0gSetEmauqQkRA2v52583X18fu8LUqpXrlJKcorPOHmivubF96067rLlpY74vzfdhQnyCVq9ar/i4BPvzld9qYqWBAAZF1m9kEx0JT9Lkr3MuVzd38m751/bQ6KtPXwANAAAAKCnmRfg7H79kX5RP+WO6fTG9aeNWu6qOqbUy9uarNfx/Uw6ymVDloy/f0J+/TtPUyf9q47rNSk/PsC+WzQv4Cy4ZnWu6xI9/fK4vP/lOSxavsNMzPD081G9Ab1079jL1KMKKKmZaxXufvqIvP/ne9mHhvKW2eOu5F47QnffcpHtuz7umjVk15sffP9OkH//Uf//Oty+Kzao4/oF+duUXE+ycPWpwjseYMObL797TR+9+aUMdsyS3GX3w/qevytXVpUgBjAmDHnp8nC64eJR++3mKli9bbZfiTklNtS96TYgxaGhfjT7v7BJZUtqskDRp8lf6/utJNrgKXbTChmz+/n72hfflV11op6EU1hvvTbAjjsyyyGYUhRnFkpmRWeAAplHjBvr+t0/tiKS1qzdq3n8L7WgdUxD2hluv1h03PqTKxtSy+eybd/XJ+18d/37Za75fWuqDz17T0aPR9vvFt2bx6zs1a95EP/xmVpD63k7Fmz1zgdxquKlLt0667KoL7fN6MlP3yAQ/ppiuea5iY+JtTaIOHdvookvP0fBR/790tlmiOjY2TiuXrdWunXtteGNWoTLh4zkXnK3zLxpZ7BCpMByO5TWBESUuJCTE3oaGhlapq2u+fSa+tkoL/8k9XO/Gx7qrz/DjQ/EAAABwZlu2HH9jq02b/19GFQAqmglPvWZH+5hRYcNH/n/gUVVtKaHfzdSAQbGHjF17fxd16Jl73tzEV1dq44qSqY4NAAAAACg7pqZKRHhUrv2mEPWfv02zI0n6Dzw+0AAFwxQkFJuzs6Nuf7aXXr1nvvZu///q3pmZx/ThM0v1yDsD1KhFTa40AAAAAFQSG9Zt0oN3P23rC9WrX0dZWcdsLSVTN8msIPbUcw/Z2kIoOEbAoETUcHfWPS/3UWCdnPM6U5Iy9PajixV1OIkrDQAAAACVhClMfP7FI5WclGKLQi+cF6rExCS7otbEHz/IVZsFZ0YNmDJSVWvAnOrwvni9NG6eEuLScuyv29hbj747UF4+ruXWNwAAgIqOGjAAUPFQAwYVUp1G3hr3QohcXHMOrjq0N17vPxmqtNSc668DAAAAAFAdMAUJJa5FhwDd8mQPOTjk3L99/RF9MmGZMjOzuOoAAAAAgGqFAAalomv/+rpqXOdc+9csOqTv3lpjl68GAAAAAKC6IIBBqRlyYXONuqpVrv3zp+7R5K83c+UBAABO4eDgYN+o4s0qAKgYsn8nm9/PxUUAg1J10U3t1XdE41z7J3+9RXMn7+LqAwAAnMTZ2dnepqXlXNAAAFA+sn8fZ/9+Lg4CGJQqkxJe/2AXdepdJ9ex795Zo1ULDvIMAAAA/I+Hh4e9jY+P55oAQAWQ/fvY09Oz2OcigEGpc3Jy1G3P9FSzdv459h/Lkj6ZsFxb10bxLAAAAEjy8fGx1yEqKkoxMTHKymLxAgAoD+b3r/k9bH4fG97e3sU+p8MxJpiWiZCQEHsbGhqq6io+NlUvj5unw/sTcux393TRo+8OUINmvuXWNwAAgIoiIiJCR44cOfFxSdQdAAAUzslRSUBAgGrXrq3iYgQMyoy3r5vue7WfagbWyLE/OTFdbz2ySFGHk3g2AABAtVerVi3Vr1/fTkdydOTfdQAoD+b3r/k9bH4fm9/LJYERMGWEETD/78CuWL1893wbvJwsqKGXHnt3oLxrupXV0wIAAAAAQJkgUkeZM1ONxj3fW84uOb/9wvcn2JEwyUk5gxkAAAAAACo7AhiUi9bBtXTLkz3kcMp34N5tMXr/ySVKT8vkmQEAAAAAVBkEMCg33QbU17X3dcm1f8vqSH36/HJlZf5/0SMAAAAAACozAhiUq4HnNNVFN7bLtX/VgjB9+9bqHJWnAQAAAACorAhgUO5GXd1awy5pkWv//Kl79McXm8qlTwAAAAAAlCQCGJQ7BwcHXXZ7R4UMa5Tr2NTvt2rmrzvKpV8AAAAAAJQUAhhUCI6ODhrzcFd16l0n17GfPlinxf/uK5d+AQAAAABQEghgUGE4Ozvqtmd6qmXHgFzHvnplpdYsPlQu/QIAAAAAoLgIYFChuNVw1t0vhqhBM58c+7OyjumjZ5dqy5rIcusbAAAAAABFRQCDCsfDy1X3vdpXgXU9cuzPSM/Su4+HaveWo+XWNwAAAAAAioIABhVSzQB3PfBaP/n6u+XYn5qcobceWaywPXHl1jcAAAAAAAqLAAYVVu36Xrr/tX7y8HbJsT8xLk1vPLRQkYcSy61vAAAAAAAUBgEMKrQGzXx178t95VbDKcf+mKgUvfngQsUcSS63vgEAAAAAUFAEMKjwmrfz113Ph8jZJee3a0RYot58aJES4tLKrW8AAAAAABQEAQwqhXbdauvWp3rI4ZTv2IO74/TOo4uUkpxRXl0DAAAAAOCMCGBQaXTtX19jH+qWa/+uzdF6/8lQpadllku/AAAAAAA4EwIYVCp9RzTWFXd2yrV/86pIfTR+qTIyssqlXwAAAAAAnA4BDCqdYZe00HnXt8m1f+3iw/r8xRXKyjxWLv0CAAAAACA/BDColM67vq3Ourh5rv3L5xzQ12+sUlYWIQwAAAAAoOIggEGl5ODgYKci9R/VONexhf/s1U8frNOxY4QwAAAAAICKgQAGlTqEue7+ruo5pEGuY//9vlN/fLGpXPoFAAAAAMCpCGBQqTk6OejGx7oruE/dXMemfr/VbgAAAAAAlDcCGFR6zs6Ouu2ZnmrXvXauY79/vtGOhgEAAAAAoDwRwKBKcHF10l3P9VbLjgG5jv3w3lotmLanXPoFAAAAAIBBAIMqw83dWXe/2EeNW9XMdezr11dpyaz95dIvAAAAAAAIYFCleHi56P5X+6p+U58c+82CSF+8tEIr5h0st74BAAAAAKovAhhUOV6+bnrg9X4KauCVY39W1jF9OmGZ1iw+VG59AwAAAABUTwQwqJJ8/WvowTf6KbCOR479mZnH9NGzS7VhWXi59Q0AAAAAUP0QwKDK8q/toQff7C+/Wu459mekZ+n9p0K1ZXVkufUNAAAAAFC9EMCgSqtV11MPvdlfvv5uOfanp2XpnccXa/v6qHLrGwAAAACg+iCAQZVnasE8+EZ/edfMGcKkpWTq7UcXa9fmo+XWNwAAAABA9UAAg2qhXhMfW5jX08c1x/6UpAy99fAi7d0WXW59AwAAAABUfQQwqDYaNve1S1S7ezrn2J+UkK43Hlqk/Ttiyq1vAAAAAICqjQAG1UqT1n6695W+cnPPGcIkxqXp9QcW6sCu2HLrGwAAAACg6iKAQbXTon2A7nmpj1xrOOXYn/C/EObg7rhy6xsAAAAAoGoigEG11LpzoO55sY9c3XKGMPExqXr9gQUK20MIAwAAAAAoOQQwqLbadKmlcS+EyMU1549BXHSqXrt/gQ7tiy+3vgEAAAAAqhYCGFRr7brV1l3Ph8jZJe8Q5vB+QhgAAAAAQPERwKDa69AjSHdN6J0rhIk9kmJDmPCDCdX+GgEAAAAAiocABpDUsVcd3TG+l5ycHXJcj5ioFL123wJFEMIAAAAAAIqBAAb4n84hdXX7M73k5JQzhImOTNarhDAAAAAAgGIggAFO0qVfPd36dE85OuYdwjAdCQAAAABQFAQwwCm6Daifbwjz2r3zCWEAAAAAAIVGAAPkofvA+rrlqR65Q5ioFL1qQpgDFOYFAAAAABQcAQyQjx6DGuQ5EsYU5n31vvksUQ0AAAAAKDCHY8eOHSt4c2n3rr1au3qDIiOOKPpojFJTUlXTz1d+/jXVrHkTdenWUe4e7oU5ZbUQEhJib0NDQ8u7KyikFfMO6tMJy5SZmfNHxTeghh5+q7/qNPTmmgIAAAAAih/AmMDl90lTtHjhMh09EnPato5OjmrbrpVGnzdco88fLi8vzzOdvloggKncVi04qI/H5xPCvNlfdRoRwgAAAAAAihjATJsyUxM//1E7t+/Wyc3c3WvYUS++vj5ydXNVXGycYmPjFRsTp6ysrOMndnCQWw03jRw9VLfceb2C6tRWdUYAU4VDGH83Pfhmf9Vr7FNufQMAAAAAVMIAZtWKtXrzlQ+1eeM2G7x4eXtqyLAB6tajszp1bq/GTRvmebLEhCRtWL9ZG9Zu0tzZi7Rx/Ra73wQx14y5TGNvulIenh6qjghgqobVC8P00filyszI+WPj4+emB97opwZNfcutbwAAAACAShbAdG07yN726N1Vl15xvgYO7iMXV5dCn3zvngP6+68ZmvTDH0qIT9Std43RLXdcr+qIAKbqWLMoTB8+mzuE8fJx1YNv9FPDFjXLrW8AAAAAgEoUwNxy/b26bdxYde3euUQ+iRkZ893Xk+Tt7aWrrrtE1REBTNWyZvEhffTsUmWkH59yl83D20UPvNZPTVr7lVvfAAAAAABVYBUkFA0BTNWzfulhvf/UklwhjLuni+5/ta+atfMvt74BAAAAACoWx/LuAFBZdexVR3e/GCIX15w/RsmJ6XrjoYXavv5IufUNAAAAAFCxEMAAxdC+e5DufbmvXGs45difkpShtx5eqK1ro7i+AAAAAICSmYKUmZmpX378S0sWr5Cjo4MGDO6jCy4ezeU9CVOQqrZt66L09qOLlZqckWO/q5uTxr0Qonbdqvcy7AAAAABQ3RV4BMzkP6arR8eheuyB53IdM/tee/E9LZgbqrn/LdKEp17Psx1QVbXqFGjrvrh7OufYn5aaqXcfX2zrxQAAAAAAqq8CBzCLFyxVVmaWho8akmP/iqWrNWvGPJmBNO07tlH3nsH2/r//zNH8OYtLo89AhdSiQ4Duf62fPLxyLtmenpal954M1aoFB8utbwAAAACAShLAbNuyw94Gd+2QY//ff82wt+ddOELf/PyRPv36bd18+3U2hPnr939Kur9Ahdasrb8efKOfPH1cc+zPzDimj55dpiWz9pdb3wAAAAAAlSCAiY6Olauri/z8aubYvzR0pRwcHHTltRef2HfFtRfZ200bt5ZkX4FKoXErPz30Zn/5+Lnl2J+VdUyfv7hcC6btKbe+AQAAAAAqeACTkJAoV7ec7+pHRhxR+OFI+db0Ueu2LU/sNyGNp6eHoo9El2xvgUqiYXNfPfz2ANUMrJFjvyl5PfG1VZr9x85y6xsAAAAAoAIHMJ4eHkqIT1RKSuqJfSuXr7G3nYLb52rv4OggZ+ecBUmB6qRuI2898vYABQR55Dr2/btrNf2nbeXSLwAAAABABQ5gmjZvbG//nTY7R/0XM/2oa7dOOdomJSYpMSFJAYH+JdlXoNKpXd9Lj747QEENvHId++WTDfrr6822XhIAAAAAoGor8BCVIcP6a+3qDXppwttav26TjkQd1eIFy+Tk7KSzRgzK0XbD+i32RWWDhvVKo89ApeJf20OPvDNArz+wUGF74nIcmzxxs9KSM3TJrR1smAkAAAAAqOYjYC6/+kK1bttCqSmp+n3S35r73yK7/+rrLlG9+nVytJ09c759Mdmle86RMUB15etfQw+/3V+NWvrmOjb95+367u01tkgvAAAAAKCaj4BxdXXVl9+9p++/+VXrVm+Ul7enBgzuoxGjh+Zol56WrtUr16tO3drq3ad7afQZqJS8fd3s6khvPbJYuzYdzXFs7uTdSknK0NhHusnZucC5KAAAAACgknA4RgGKMhESEmJvQ0NDy+YTosJKTkrXe0+EauuaqFzHgvvW1W1P95SLq1O59A0AAAAAUDoK/Fb7obBwRYRHFvjEEeFR9jEAcnL3cNG9L/dVx15BuS7NmkWH9M5ji5WSnMFlAwAAAIDqGMCMHnq5rrn0tgKfeOxVd+rcYVcWtV9Alebq5qS7JoSo+8D6uY5tXhWpNx9aqKSEtHLpGwAAAACg5BWq2ERhZysxuwnIn7OLo259qqf6jTy+xPvJdm48qlfvXaC46BQuIQAAAABUAaVW7TMtLV2OThQTBU77A+jkoOsf7KqzLm6e69j+nbF6+Z75OhqRxEUEAAAAgEquVBKS2Jg4xUTHyMfHu8TOmZiYqOeff17BwcHy9va2m7k/YcIEe6y40tPT9emnn2r48OGqW7eu3NzcFBQUpB49eui+++7Tpk2bSuTrAE7l6OigK+7spHOva5PrWPj+BL00bp4O74vnwgEAAABAVVyGetvWndq6eXuOfampqZry5/R8T2ZmKMXHxWvWjHnKyjqmdh1al0gn9+/fr8GDB2vnzp32Y3d3dzu9ae3atXb7+uuvNWfOHDVs2LBI59+6dasuuOACbdmyxX7s6OgoX19fRUVFKSIiQitWrFDjxo3Vrl27Evl6gFM5ODjogrHt5O7pokkfrc9x7GhEsl66e57uf7WvGrfy4+IBAAAAQFVahvqT9yfq0w+/PvGxaWZeJBaEaWtCjPc/e1W9+3QvVgczMzPVvXt3rVmzxo5I+eqrrzRixAh77J9//tHYsWNtSGJGw6xcudJ+3sLYvXu3evfufeIcZpTNWWedZUfAZGRk2ONTp05Vq1atNGrUqCJ/HSxDjYKaN2W3vn1rtQ00T1bDw1l3vxCi1sG1uJgAAAAAUFUCmB+++VXff/3LiY/NktJOTo6qHZT/iz8Tfnh5e6pFy2a6+PJzFdy1Y7E7aAKXG264wd6fP3+++vfvn+P4ggULNGDAgBNtx4wZU6jzm8eac/Tq1UuzZ8+Wh4eHSgMBDApj2ewD+vzF5crMPJarcO/tz/RUcN96XFAAAAAAqAoBzKm6th2kgEB/zVzwu8rSwIEDbfBibufOnXvaEGXQoEF2KlJBzZo1S8OGDbP3zQibzp07q7QQwKCw1i87rA+fXqq01MxcNWPGPtxVfc7OvXoSAAAAAKBiKvB8nVvvHKNrx16uspScnKyFCxfa+6eb/jN69Gh7a0IY85iCMrVjjI4dO5Zq+AIURceedfTA6/3k4eWSY7+pr/TFyys189cdXFgAAAAAqHIBzF1jdN0NZRvAbN68WVlZWfZ+hw4d8m2XfczUi8kupFsQJrAxunXrpqSkJI0fP94W2jVFfv38/NSvXz998MEHSktLK/bXAhRFiw4BevjtAfL1d8t17KcP1unPLzfZmksAAAAAgGq4DHVJOXjw4In7DRo0yLfdycfCwsIKdG6zotPevXtP1K4xhX6fffZZuyKSCWDi4uK0aNEi3XXXXbbuzNGjR4v1tQBF1bC5rx59d6AC6+auTzTl2y367u01yjqlVgwAAAAAoJIsQ306a1dv0OqV6xR+OFLJySnH15/Oi4ODnn3hkSJ3Lj4+/sT90xXHPfmYCU4KIjo6+sT9iRMn2luzAtK4cePk4+Njz/POO+/YUGbZsmW2uO/kyZMLXOvlVBs2bFDbtm1zfE1AQbn7SONe7KaPn12tQ3sTchybO3m3oqMSde0DHW2RXgAAAABA+fH29i5+ALN/30E9/uAEbdqwNcf+vJaozt5XnACmNJ08bcNMc7rnnnv0xBNPnNhnQpinnnrKLk/9/vvva8qUKVq9erW6dOlSTj1GdecbUEN3vdhdn01YrT1bYnMcW7s4Qknxq3TjE8F2uWoAAAAAQMVS4FdqcbHxumXMfQo/FKGAQD917RGsmf/MkVsNNw0dPkBRkUe0Ye1mJSUlq6afr/oP7F2iqZGp0ZKfk4+Z4KSw5zYeeuihPNs98sgjNoAx/v333zMGMKGhoacdGZNfEgYUhPn2efjNgfrwmSXasDwix7Ht66P14VOrdO/LfeXrX4MLCgAAAAAVSIHnK/z47W82fOnQqa0mz/hBr7z5jN3v5eWp5195Qh9/+ab+nf+brhlzmWKiY+Xh6aHxLz1WrM7Vr18/z3owpzpw4MCJ+/Xq1SvQub28vOTr63sitDn5c51aXyY7NMmuGQOUJzd3Z417oY96n9Uw17F922P18rh5igxLLJe+AQAAAACKGcDMn7vYTim6454b5e7hnmcbE7rc/8gduvTK8zXphz81Z9bxVYaKytRMMQVyjfXr1+fbztRXMZycnNSmTZsCn98sP10Yp06zAsqLqfVy42PdNeySFrmORYQl6qVxc7V/R0y59A0AAAAAUIwAZt/egzaA6NYjOMf+jIyMXG1vvPVaW2Pl15/PXLT2dMxqRGYpaGPatGn5tss+ZlYrMo8pqLPPPtvemoK7+Y2w2b9//4nCuU2bNi1U/4HS5OjooMvv6KiLb2mf61js0VS9cu98bV0TyZMAAAAAAJUpgElPS5O3j5dcXP6/bIyp/5KUmJyrbe2gQNt26+Ydxe6gWX3ImDdvnl0W+lRm3/z58+3966+/vlDnvuaaa+Ti4mLvv/baa3m2eeWVV+ytCZ/OOeecQvcfKE3m+3LUla019uGuNpA5WXJiht58eJFWzMt/+h4AAAAAoIIFMAGB/kpNTcuxz9+/ph0BE3bwcI79mZmZthivKdxbXNddd52Cg4+Purnkkks0ffp0O7rGbOa+2WeYNtdee22Ox86dO9e+QDVb9lLTJ2vSpIkeeOABe/+9997Tiy++eGIZa3NrlqX+6KOP7Mdjx44t1PQmoCz1G9lEd07oLRfXnD/SGelZ+nj8Uv33x06eEAAAAACoDAFMnbpBSk1JtasdZWvTrqW9nT3z+AiUbLNnLlBmRqZdLam4TF2XyZMnq3nz5jp8+LBGjhwpT09Pu5n7Zp85ZtqYtoVlQhYzEsYsRW2Wofb391dAQIC9NctQm/3nnnuuPvjgg2J/LUBpCu5TVw+83k8eXsdHdWUzK67/8O5a/fbZhhzLrwMAAAAAKmAA06nL8ToTq1euO7Fv+Mgh9gXdB+98oa8++0GhC5fr6y9+1HNPvmpHnfQrgaWojYYNG2rt2rV67rnn1LlzZxu0mK1Tp04aP368PWbaFIU5z7fffqs//vhDo0ePVmBgoK354ufnpxEjRuinn37SX3/9pRo1WNYXFV/LjoF65J0B8gvM/f067Ydt+vLllcrIyCqXvgEAAABAdeZwrIBvia9fu0nXX3GHBgzuo7c/fPHE/lvH3q/lS1blWCHInLJW7UB9/+snCqwVUDo9r2RCQkLsbWhoaHl3BdXAkfAkvf3IIoXtzT0NsEOP2rp9fG/VcP//ek4AAAAAgAoSwOQnJSVVX3z8rWZMm63DhyJs8d0+/XrqzntvUp26tUuup5UcAQzKWkJcmt5/MlTb1///tMFsjVvV1D0v9ZGvPyO7AAAAAKBSBDAoGAIYlIe01Ex99sJyrVoQlutY7XqeuvfVvgqq71UufQMAAACA6qTANWAAVD6ubk66/ZleGnx+s1zHIsIS9eKdc7Vr09Fy6RsAAAAAVCcEMEAV5+jkoKvv6ayLbmyX61hCbJpeu3+BVi/MPUIGAAAAAFDOU5AiwqO0Y9suxcbGKSMj47Rtz71gRHH6V2UwBQkVwcLpe/X1a6uUlZXzx97BUbrqrs4acmHzcusbAAAAAFRlhVoGZfvWnXrl+XdzLEV9OmZlJAIYoOLoN6KxfP3c9NGzS5Waknli/7Es6ft319rVky6+pYMcHf9/VTMAAAAAQBkGMHt27dMN19ytpMQku8y0i4uL/Px95eTkVALdAFBWOvaqo0feGaB3Hlus2KOpOY5N/3m7jkYm64ZHusnFlZ9tAAAAACjzAObj979SYkKiatUO1BPP3q++A3oRvgCVVONWfnr8g0F6+9HFOrQ3PsexZbMPKCYqRXc931ue3q7l1kcAAAAAqJZFeFcsW2OnFE145XENGNyH8AWo5ALreOqx9waqVafAXMe2rYvSS+PmKepwYrn0DQAAAACqbQCTEJ8gV1cXde8ZXLo9AlBmzAiX+1/rqx6DG+Q6ZkbGvHDHXO3ZGs0zAgAAAABlFcAE1gqQo6Oj3QBUHabWyy1P9tCIy1vmOhYXnapX7pnPMtUAAAAAUEwFTlPMtKOUlFRt3rituJ8TQAVjVj269LaOuvruznI4ZQGktNRMffD0Es38dUd5dQ8AAAAAqk8Ac9Nt16qmn69ee/FdpabmXDkFQNUw5MLmuvO53nJ1y7kC0rFj0k8frNMP765VVuaxcusfAAAAAFRWDsfMmtIFcCgsXDu279ZTD78g/4Cauu7GK9ShY1t5enme9nF16wWVVF8rtZCQEHsbGhpa3l0Bzmj3lqN69/FQOwXpVJ371NEtT/ZUDfcCL6IGAAAAANVegQOYbu0GF/pimVWTVmycXe0vskEAg8rGrID0zqOLFXbKMtVG45Y1dfdLIaoZ4F4ufQMAAACAKjsFyeQ0hd2ysrJKt/cASneZ6vcHqm3XWrmO7d0eY1dIOrArlmcAAAAAAEpyBEzYwcMqinr16xTpcVUNI2BQWWWkZ+mbN1dr0fS9uY7V8HDWbU/3VMde/JwDAAAAQIkEMCgeAhhUZubXxNTvt+qPLzblOubgKF15Z2cNvah5ufQNAAAAAKrUFCQA1Zep53TONW10y5M95OyS89fGsSzph/fW6vt31igzk2mHAAAAAJAXAhgABdZraEM9+EY/efm65jo2+89dduWk5MR0rigAAAAAFCSA+eu3aSVeQHf/voNasWxNiZ4TQNlr2TFQT3wwSHUbeec6tmFZuF68a55dQQkAAAAAcIYAZvyTr+qiUddp6uR/lZ6eoeLYs2ufnnnsJV00+jqtXE4AA1QFtet76fEP8l4hKWxPnF0haeemo+XSNwAAAACoNEV4TQAz5Y/ptvCmj4+3ho8arBGjh6pj53ZydnY+40kPH4rQvNmLbICzcf0We54GDevpuZcfV3DXDqqOKMKLqigjI0s/vLNG8/7ek+uYqRVzw6Pd1GtIw3LpGwAAAABUilWQtm7ZoTdf+VDLl6yyBTgNV1cXtWrTQq3btpCfX0351vSRq6urYmPjFBcbrwP7w7Rh3WZFRR6x7c2pvX28dNNt1+qKay6Wi8uZw5uqigAGVZX5Of/3lx365eP1yuu3ybnXttF5Y9rK0fH47xEAAAAAqI7OuAz1pg1b9ctPf+nfabOVnJxy/EH/C2ROdfKpTEhz6RXna+Q5Z8ndw13VHQEMqro1i8L06fPLlZqSmetYtwH1dOOj3eXmXn1DWAAAAADV2xkDmGzJSclauWKtVi5fq3WrNyoyMkrRR2OVlppmR8L4+ddUs+aN1bVHZ3XvGaymzRqXfu8rEQIYVAf7dsTYlZCiI5NzHWvcsqbueqG3/Gt5lEvfAAAAAKBSBDAoHgIYVBcxR5L1wVNLtGtzdK5jvgE1dNeE3mrW1r9c+gYAAAAAFWoVJAAoqpoB7nrorQHqNaRBrmOxR1L06r3ztXT2fi4wAAAAgGqFAAZAiXN1c9LNT/bQhTe2y3UsPS1Ln05Yrj+/3KSsLAbgAQAAAKgeCGAAlApTrPuca9ro9md7ybWGU67jU77doo+eXaqU5AyeAQAAAABVHgEMgFLVfWB9PfruQPnVyr0a2qoFYXrprnmKOpzIswAAAACgSiOAAVDqzApIT340SM3a+uU6dmBXrCbcNkdb10TyTAAAAACosghgAJRpcd7eZzXMdSwhNk1vPLhQc/7axbMBAAAAoEoigAFQpsV5b3q8uy65pYMcHHIey8w8pu/eXqNv31qtjIwsnhUAAAAAVQoBDIAyL8478spWGvdCiNw9nXMdnzt5t958cKHiY1J5ZgAAAABUGQQwAMpF55C6evyDQapd3zPXsa1ro2xdmH07YsqlbwAAAABQ0ghgAJSbeo199ORHg9Wue+1cx46EJ9kVkpbO3l8ufQMAAACAkuRw7NixYyVxovlzFmvJ4hVydHRUv4G91btP95I4bZUREhJib0NDQ8u7K0CFk5mZpV8+3qCZv+7I8/iIK1rp4pvay9HplMIxAAAAAFDVApg5/y3U269+pF59uunxZ+7Pcez1l97Xj9/+lmPfdTdeoXseuLVke1uJEcAAZ7bwnz369q01ykjPXYS3fffauuWpnvLyceVSAgAAAKi6U5Dm/bdQB/aHKbhrxxz7N2/cph+++VUmxwmsFaC69YLs/W+++EmrVqwtjT4DqKL6jWyiR94eoJqBNXId27giQi/cPkcHdseWS98AAAAAoEwCmA3rt9jbnr275tj/12/T7G3/QSGaNvtn/T3rJ1102bk2hPn9l7+L1TkA1U+zdv566uPBat7eP9exiLBEvXjHXK2cf7Bc+gYAAAAApR7ARB+NkZOTkx3lcrLQRcvtsrJjb77aHjduvv1ae7tu9cYidwxA9VUzwF0PvdlfA89pkutYakqmPnxmqX7/YqOyMkukhBUAAAAAVJwAJi4uXp6eHjn2xUTHav++g/L08lDnLu1P7A+qU1s13GsoMiKqZHsLoNpwcXXSdQ901bX3BcvJOXfx3anfbdU7jy9WQlxaufQPAAAAAEolgKlRo4bi4xOUkZFxYt/qVevtbcdO7ewomJO5urjIwZFVrgEUz6DzmtnRMD5+brmObVgWrudvn6P9O2K4zAAAAAAqtAInJI0a17d1XRbMW3Ji37/TZtvgpXPXDjnapqamKiEhUQEBfiXbWwDVUsuOgXrqk8Fq2ib375RIUxfmrnlaMmt/ufQNAAAAAArCuUCtJA0Y1MeuePTck69qz659ioo8on//mWOPDR0+MEfbLZu2Kysry66IBAAlwb+Whx55Z4C+f2eNFkzbm+NYWmqmPnthufZsjdYlt3aQszOj7wAAAABULAV+lXLV9ZfYQCU2Jk7vv/WZfvrudzsiZuQ5Q9W8Rc5CmfNmL/7fyJicS1YDQHHrwlz/YFddd3+XPOvCzPx1h958cKFij6ZwoQEAAABUzgDG29tLE3/8UBdcMkpNmzdWx87tdNd9N2v8S4/laJeelq7Jf/xjw5kevbqURp8BVGMm3B14blM98s5A1Qyskev41rVRmnDrbO3adLRc+gcAAAAAeXE4ZpISlLqQkBB7GxoaytUGSogZ6fLR+KXavu5IrmNmhMwVd3bS4POb5SoSDgAAAABljUIJACotX/8aevCN/jrr4ua5jmVmHNP376zV5y+tUGrK/6/eBgAAAACVOoA5ejRGs2fO15z/Fio+Lr6kTgsAp2UK7l55V2fd9Hh3ubo55Tq+ZOZ+vXjnXIUfSOBKAgAAAKj4U5DMCki//vSXmrVooquvvzTHselT/9P4J19VWmqa/djDw13PvfK4Bg/tVzq9roSYggSUvv07YvTBM0vt0tSncvd01o2PdleXfvV4KgAAAABU3BEw//w9S3/+Ns0uL32yiPAoG76kpqTawrtmS0xM0uMPPKeDBw6VRp8BIE8NW9TU058MVuc+dXIdS07M0PtPLdFvn21QZmbO32MAAAAAUGECmJXL19jbQaeMavl90hQbvpiRMb9N/Vp/z/pJwV07KC0tXT9++1vJ9xgATsPDy1V3TQjRRTe2k0Mev+Gm/bBNbz60SHHRLFUNAAAAoAIGMFGRR+1KInXrBeXYv2BeqN1/5z03qmmzxqpXv44eevxuOxJmWejK0ugzAJyWo6ODRl/TRve/2k9evq65jm9ZHanxt8zW9vVRXEkAAAAAFSuAiY2Jlbe3l5ydnU/sS0lJ1bYtO+y+Pv17ntjftn0ruy/s4OGS7zEAFFC7brX19CdD1LSNX65jMVEpevXeBZoxabsNjAEAAACgQgQwDo6OtrbLyTau32JrKbRp11Jubm45jnl6eSg9naVfAZSvgCAPPfLOAA06r2muY1lZxzTpo/X64OklSko4XkQcAAAAAMo1gKlbt7YyMzO1cf3mE/vmzV5kpx917tIhR1tTqDcxIUl+/r4l21sAKAIXVydde18X3fhYd7nWyL1U9eqFh/TcrXO0d3sM1xcAAABA+QYwXXsE22H6Lz33ttav3aQ5sxbYArxGv4G9c7TdvWufMjIyVKt2YMn3GACKqM/wRnryw8Gq09Ar1zGzdPWLd87VvL93MyUJAAAAQPkFMNeOvVxubq7avHGbxlx5px68+2klJSXb6Uc9e3fN0XbxgqX2tn3HNiXfYwAohvpNffTkx4PVc0iDXMcy0rP0zRur9eXLK5WazBRKAAAAAOUQwDRu0kBvf/SS6jesa98dNlOPQvr20FsfvJCr7ZQ/ptvb7j27lGBXAaBkuHu46JYne+jquzvLydkh1/HF/+7T87fPUdieOC45AAAAgBLhcKwIy39ER8fIw8M9V+FdwxTeXbt6w4kRMO7uNUqmp5VcSEiIvQ0NDS3vrgA4ya7NR/XR+KU6Gp6c67qYejHX3BOsviMac80AAAAAlH0Ag8IjgAEqroTYVH3+0gqtXxqe5/G+Ixrp6nuC5VbDucz7BgAAAKCaTUECgKrKy9dNd7/YRxff3F6OjrmnJC2abqYkzWVKEgAAAICyGwFjms+aMU/Tp87SxvVbFH001u43S06bKUcjzxmmocMH2Box+H+MgAEqh23rovTphGWKjkrJc0qSWc7arKYEAAAAAKUWwByJOmpXP1q3ZqP9+NSHZocunbu012vvPKeAQP9CdaYqI4ABKo/4mFR9/uJybVgekedxUxPGFPB1c2dKEgAAAIASDmDS09J17eW3afvWXTZ4adehtV0FKahObXs8/HCEloau1IZ1m20Q06pNc33z88dyceEFikEAA1QuWVnH9M+P2/THlxt1LCv38bqNvXXbMz3VoKlveXQPAAAAQFUNYH789je99uJ7dvWjCa8+ocFD++XZbt7sRXrioeeVnJyih5+4W5dffWFJ97lSIoABKqeta6P06fPLFJPHlCQXV0ddeVdnDTinCdMuAQAAAJRMEd6Z0+fYFxgPP3lPvuGLMXBIX9vG5Dozpv1X0NMDQIXUunOgnvl0iNp3Pz7a72TpaVn65s3V+uS5ZUpKSC+X/gEAAACoYgHMrh175ezsrJHnnHXGtiNHD7Vtd+7YU9z+AUC58/GroXtf6auLbsp7laTlcw/quVtna/eWo+XSPwAAAABVKIAxU4rc3WsUqKaLi6uL3D1qKCU5tbj9A4AKwQQvo69urYffHiD/2u65jkeGJeqlu+ZpxqTttn4MAAAAABQpgDHLTMfHJygiPOqMbU2b+LgE+xgAqEpadgzQM58NVZd+dXMdy8w8pkkfrde7jy9WXHTumjEAAAAAqq8CBzCdu3a0t++9+ekZ237w9mf2Nvh/jwGAqsTLx1V3PtdbV93dWc4uuX+Nrl8armdv+k+bVua9jDUAAACA6qfAAcyV11xkC+tOmzJTD4x7Sju3787VZtfOPXronqc15c8ZtmDvFddcVNL9BYAKwfyOG3phcz3+wSAFNfDKdTz2aKrefGihfv10gzIy8ljHGgAAAEC1UuBlqI23X/tI33z584nlVv0D/FSn7vGVQcIPR+pI1PEClOaU1990pe554NbS6nelwzLUQNWVnJSu795eoyUz9+d5vGkbP93yZA/Vrp87qAEAAABQPRQqgDEm/finPnr3S8XGxOV5vKafr26/+wZdesX5JdXHKoEABqjazK/S0H/32SAmNSUz1/EaHs669t5g9R7WqFz6BwAAAKCSBTBGamqqlixaoU0bturo0Wi7z9/fT+07tlHvvt3l6upaGn2t1AhggOoh/ECCPpmwTHu3xeR5PGRYI119b2e5e7iUed8AAAAAVLIABoVHAANUHxnpWfr9i42a8fP2PI/Xruepm5/ooWbt/Mu8bwAAAAAqeBFeAEDBmJWRLruto+57pa98/NxyHY8IS9RL4+bp7++2KCuTDBwAAACoDghgAKCUdOgZpGc/H2pvT5WVdUx/fLFJr94/X1GHk3gOAAAAgOo4BenZx18uobM76NkXHimZc1VyTEECqi8Ttsz8dYd++2yDMjNyj3hx93TRtfcHq9eQhuXSPwAAAADlFMB0bTvILjVd1PIw2Y81tys3zSmJflZ6BDAA9u2I0acTluvQvvg8L0af4Y101T0U6AUAAACqIue8dp5z/tlm8AoAoAQ1alFTT30yWJM+Wq+5k3fnOr74333avuGIbnq8u1q0D+DaAwAAAFUIqyCVEUbAADjZmkVh+uq1VUqITct1YRwcpXOuaaNzrm0jZ2dKdQEAAABVAf/ZA0A5CO5bT+O/GKp23WvnOnYsS5ryzRa9PG6eDu/Pe7oSAAAAgMqFAAYAyknNAHe7VPXld3S0S1efaveWaI2/ZbbmTdld5JpcAAAAACoGAhgAKEeOjg4afmlLPfnhINVr4pPreFpKpr55c7XeezJUcdEp5dJHAAAAAMVHAAMAFUDDFjX19CeDNeySFnkeX7v4sJ658T+tDT1U5n0DAAAAUHwEMABQQbi4OumKOzvpgdf7qWZgjVzH46JT9e7jofr69VVKSc4olz4CAAAAKBoCGACoYNp1q63xX5yl7gPr53l8/tQ9evam/7R9fVSZ9w0AAABA0RDAAEAF5OXjqtue6akbH+uuGh7OuY5HhiXqlXvm69dPNyg9LbNc+ggAAACg4AhgAKCCcnBwUJ/hjexy1S07BeQ6bhZG+ufHbXr+9rnavzO2XPoIAAAAoGAIYACgggus46mH3xygS2/rkOdy1Qd2xWrCbbM17cetyspkuWoAAACgIiKAAYBKwNHJQSMub6WnPh6shs19cx3PzDim3z7dqFfuna/wgwnl0kcAAAAAJRzAbN+6U19/8aNefu5tPfvEKzmOpadnKCI8SpERR1SSEhMT9fzzzys4OFje3t52M/cnTJhgjxXFnj177BD/M23XXHNNiX4tAFBUDZr56okPB2nUVa3kkMdv8B0bjtgCvbP/3KmsLEbDAAAAABWFw7FjpopAwSQmJOnZJ17W7JkL7MfmoSagWLlpzok2yUnJGjX0csXHJejnP79Q85ZNi93J/fv3a/Dgwdq5c6f92N3d3X7ulJQU+3Hz5s01Z84cNWzYsNABTNOmx/sXGBgoJyenPNtdcsklev/994v1NYSEhNjb0NDQYp0HALJtX39EX7y8whbkzUvbrrU09uFuCgjy4KIBAAAAlWUETEZGhsbd+rANX9xquKnfwN5yc3PN1c7dw13nXThSWVlZmjVjXrE7mJmZqfPOO8+GL0FBQZo2bZod8ZKUlKSpU6eqdu3a9phpYz5nUS1fvlyHDx/Ocytu+AIApaFlxwA9+/lQDTw376B786pIPXPjLC2YtseG1gAAAAAqQQAz+fd/tGbVBtVvUFd/TPtG73z0kry8PfNsO2RYf3u7auW6Ynfwm2++0Zo1a+z9X375RSNHjjwxNWjUqFH69ddf7THTxrQFgOqkhruzrru/i+59uY9qBtbIdTw5MUMTX1uldx8PVcyR5HLpIwAAAIBCBDD//D3Lhh73PXKHgurUPm3btu1bydHRUXt27Sv2NZ44caK9HThwoPr3Px7snMzsy97/9ddfF/vzAUBl1LFXHT335VnqPSzvqZjrlhzWU2Nnael/+xkNAwAAAFTkAGb71l02gOnbv+cZ27q6usrLy1Mx0bHF6lxycrIWLlxo75vRLvkZPXq0vV2wYIF9DABUR57errr58R6687le8q7plut4Uny6Pn1+uT58Zqlijx6voQUAAACgggUwSUnJ8vB0t+FKQWu3ODoVb5XrzZs3n6jr0qFDh3zbZR8zn3PLli1F+lyXX365AgIC7Ndnas2cffbZ+vTTT08U+gWAyqJr//qa8NVZ6jagXp7HVy0IYzQMAAAAUMacC9rQt6aPjh6JVnJyitzdc9cZONnhQxFKTEyy9WKK4+DBgyfuN2jQIN92Jx8LCwtTly5dCv25li1bJi8vL7m5uSkiIkL//vuv3d555x39+eefatmyZaFWOzrVhg0b1LZtW8XHxxe6bwBQaE7SNQ+0U7se/vrtky1KSsjIcTgxLs2Ohlkya68uvb2NvP1yj5gBAAAAUHje3t557i/wEJV2HVrb26WhK8/Y9o9f/ra3nbu0V3GcHFZ4eOS/jOrJx+Li4gp8/ho1aui2227T7NmzFRMTYz+f2czy1I899picnZ21adMmDR8+vFDnBYCKwEwb7Tawrh55L0TtewTm2Wbdkgi9dFeoVs47RG0YAAAAoCKMgDnn/OFaMDdUH737pbr3DLY1XvIy57+F+uqzH+w//udeOFIVWZ06dfTRRx/l2t+4cWO9+OKLdiTNZZddZgOZN998U88+++wZzxkaGnrakTH5JWEAUFrM7537XglU6Mz9+vG9tUpKSM9VG+bbNzZo47KjuubeYPn6n36UIwAAAIDCK/AImGEjBqtnSFdt37pT1112m77/+helpx0f0r5w/hJN+uEP3XnzQ3pw3FPKyMjQoKH91Cukm4rj5LAiKSkp33YnH/Px8VFJufTSS9W3b197/48//iix8wJAWTOheJ/hjfTcV2epc0id09aGCZ25j9EwAAAAQAkrVJXc1955zoYqe3bv15uvfKj4+AS7/57bHtMrz7+r0IXL7T/tIX176PlXHi925+rXr59nPZhTHThw4MT9evXyLjpZVNkjV3bu3Fmi5wWA8uAX6K5xL4Toxse6y8PLJddxUxvm8xdX6N3HQ3U0Mv/gGwAAAEApBjDe3l768IvX9cJrT6pbj85ydXWxgYvZzIpHwV076LmXH9P7n70qdw93FZcpWuvoeLyL69evz7edKXBrODk5qU2bNsX+vABQ3UfDrFtyWE+PnaX5U3czGgYAAAAoAQ7HTHpSRGaJ6NjYOGVlZtlVkkzR2pI2cOBAzZ8/397OnTv3tG0GDRqkOXPmlOjn79evnxYtWmSXuj5dCFTQkTT51YgBgPJg/gTY2jDvr7W1YPLStmstXf9gV9Wqm3ftLwAAAAAlPAIm14MdHeXnV1MBgf6lEr4YY8aMsbfz5s2zQcipzD4TvhjXX399oc59puzp999/P/E5L7jggkKdGwAq02iY5ycOU9f+eU/h3LwqUs/cMEv//bFTWVlFzuwBAACAaq1YAUxZuO666xQcHGzvX3LJJZo+ffqJaU/mvtlnmDbXXnttjseaETPmxYXZJk6cmOvcAwYM0HPPPadVq1YpLS3txP79+/fr6aef1hVXXGE/btCggR544IFS/koBoPyYlY/uGN9Ltz3dU9413XIdT03J1A/vrtUr98zXoX3x5dJHAAAAoFoEMEsWLdfAXufo0fvHn7Ht/Xc9YdsuX7KquP2zdV0mT56s5s2b6/Dhwxo5cqQ8PT3tZu6bfeaYaWPaFoYJWp555hl169ZNHh4eCggIkK+vrxo1aqQJEyYoPT3d1qGZOXOmatasWeyvBQAqMhNW9xjcQBO+Oku9hjTIs82ODUf07E3/6e/vtigjI6vM+wgAAABU+QBmxj9zlBCfqLNHDz1j22FnD1J8XIJ9TElo2LCh1q5da0erdO7c2QYtZuvUqZPGjx9vj5k2hfX666/r9ttvV/fu3RUUFGSXs05NTbUjXs4991x99dVXWr16NYV9AVQrZgTMLU/11F0Tess3oEau4xnpWfrji02acOsc7dkaXS59BAAAAKpsEd5Lzh2j3Tv3at6yv+XldfpCjGZ56oE9z1GLlk01afJXJdXXSo0ivAAqo8T4NP384Xotmr43z+MOjtKwS1rqgrFt5VajdGqBAQAAANVqBExEeKRdhvpM4Yth2nn7eCky4khx+wcAKEee3q664ZFueuD1fgqs65Hr+LEs6d9J2/XMjf9p08qIcukjAAAAUKUCmPT0DGVmZhb4xGZp6uTk5KL2CwBQgbTrVlvPfXGWhl/awo56OVVkWKLeeHChvnxlpRJiU8ujiwAAAEDVCGACAvyUlJSssIOHz9jWtElMTJJfgF9x+wcAqCDc3J11+R2d9Pj7g9SgmU+ebcxUpSfHzNLS//bb1eoAAAAAFDKA6dylg7398dvfztj2h29+tbedgtsX9PQAgEqiWVt/PfXxEFv3xdkl95+R+JhUffr8cr396GJFHU4slz4CAAAAlTaAufDSc+y7mSaAOV0IY8IXc9wsZ3rhxaNKqp8AgArEBC/nXtdWz3w6RC3a++fZZsOycD01dpZmTNquzEyWrAYAAED1VuBVkIwnH35e06bMsuFK46YNNWBQiOrVr3Ni2tH8uaHau/v4sPPhIwfr5TefKc2+VyqsggSgqsrKOqZ5U3brt882KDkxI882jVvW1PUPdlHjVkxNBQAAQPVUqAAmLS1Nzz35qg1h7IMdHHIczz7VyHPO0tPPPyQ3N7eS7m+lRQADoKqLjkzWD++t1aoFYfkvWX1xC50/tp1quLNkNQAAAKqXQgUw2VYsXa0/f5+mNSvX60jUUZPEKDDQX527dtAFF49W957BpdPbSowABkB1sWrBQX3/7lrFRKXkedy/truuvidYwX3qlnnfAAAAgEoVwKDwCGAAVCdJCen6/fONmjt5l/L7K9O1fz1dOa6T/Gt5lHX3AAAAgDJHAFNGCGAAVEc7NhzR16+vUtje+HyXtr7oxnYackFzOTrlnNYKAAAAVCUEMGWEAAZAdZWRnmVXQpryzWalp+W9GlKT1jV13f0U6QUAAEDVVaQAZu3qDdq+dZdiY+OUkZH3ihfZbr1zTHH6V2UQwACo7iIOJui7t9do44qIfIv0Djm/uS64oZ08vFzKvH8AAABAhQlglixeoeeffl2HwsIL/AlWbppT1L5VKQQwAHB8tbxlsw/opw/WKS46Nc9L4htQQ1fc0Uk9BtfPtdoeAAAAUFkVeB3QDes2657bHlN6err9uH6DuqpVO0BOTk6l2T8AQBViApVeQxuqQ88g/fbpBs37e0+uNrFHUvTJhGVa8E9tXXNPsIIaeJVLXwEAAIByGQFzz22PasG8JWrSrJFefetZtWjVrEQ7UtUxAgYActu+/oi+fWu1Du6Oy/PyOLs4atRVrTTqqtZycSXwBwAAQDUIYAb3Pk9xcfH6dtLHatehden3rIohgAGAvGVkZGnWbzv018TNSkvJzLNN7fqeuvqeYHXoEcRlBAAAQKXkWNCGKSkpqlHDjfAFAFCinJ0dNeLyVnp+4jB16Vc3zzYRBxP11sOL9OEzS3Q0IolnAAAAAFU3gKlbL0hZhV8wCQCAAgkI8tBdE0J094sh9n5eVs4P05PXz9Q/P26zy1sDAAAAVS6AGTp8oNJS07Ri2ZrS7REAoFrrHFJXEyaeZWu/ODnlXgUpNSVTv366Qc/e/J+2rI4slz4CAAAApVYDJikxSVdcdJNcXFz02TfvyN+/ZqE/WXVGDRgAKLywPXH67p012romKt82vYY00GV3dFTNAHcuMQAAACp/ALNy+VpFRkTp5efelpOzky667Fx17NRWnl6ep31ctx6dS6qvlRoBDAAUjfkztfS/A5r00TrFHk3Ns00ND2edP6athlzY3NaUAQAAACptANO17SA5ODgU7uQODlqxcXZR+1alEMAAQPEkJ6bblZL++32nsrLy/tNVr7G3XS2pTZdaXG4AAABUKIV6m9BkNYXZsrIokAgAKBnuni664s5OevrTIWrRISDPNmF74/Xa/Qv08filrJYEAACAyjkCBsXDCBgAKDlmBEzov/v0yycbFB+T97Qk1xpOOvfaNhp2SQu5uDpx+QEAAFCuCGDKCAEMAJS8xPg0/fXVZs3+a6eO5TPoMqiBl64c10kde9bhKQAAAEC5IYApIwQwAFB69u+I0ffvrdX2dUfybRPcp64uv6Ojatf34qkAAABA5QhgTG2XzRu3KuxguFJSUnTuBSNKp3dVCAEMAJTBakmz9mvSx+vzXS3J2cVRwy9todHXtFENd2eeEgAAAFTcAObn7//QZx99o+ijMSf2rdw058T9uNh4jb36LmVlZunzb99RQKB/yfa4kiKAAYCyWy1pyrdbNOvXHcrMzPtPXM3AGrr0lg7qdVbDQq/wBwAAAJT6KkivvvCu3Y4eiZaHp0ee/7T6+HqrbbuW2rf3gGZOn1ukTgEAUJzVki67raOe/WKo2nWrnWebmKgUffbiCr1893zt3RbNxQYAAEDFCWCWLFqun777Xe7uNfT6u89p/rK/5efvm2fbs0cNtUPBly1ZWZJ9BQCgwOo19tH9r/XVnc/1UmAdjzzb7NhwRBNum6OvX1+luOgUri4AAADKP4D55ae/7IiXW+8aoyHDBpx2yHZw1w72dse23SXTSwAAisD8rerav74mTBymC8a2latb7uWozUTc+VP36PFr/9WMSduVkZ7PckoAAABAWQQw69ZssrcXXDL6jG29fbzl6emhqKijxekbAAAlwgQv517XVs9/PUw9BjfIs01yYoYmfbReT98wS2tDD9mRnAAAAECZBzCxMXHy9PKQt3fBlu90cnJSZkZmcfoGAECJCgjy0G1P99TDb/VXg2Z5T6MNP5Cgdx8P1duPLFLYnjieAQAAAJRtAGNGtCQnJSsjI+OMbePjE+zmW9OnuP0DAKDEtQ6upac/Hayr7+ksLx/XPNtsWB6hZ278Tz+8u1YJcWk8CwAAACibAKZp80bKyjqmrZu3n7Ht7H/n26Hbbdq2LF7vAAAoJU5OjhpyQXO9+N1wnXVxczk65q5tZv7u/ffHTlsfZtZvO5SRQX0YAAAAlHIAM/is/jZU+eKT707bLuzAIb331me28OFZZw8sYrcAACgbnt6uuvKuzhr/5VB16BmUZ5vEuDT9+P46PUN9GAAAAJR2AHPplReobr0gzZu9WI/ePz7HSJiUlFTt3LFHX332g66+5FYdPRKtZs0ba9R5w4raLwAAynzZ6vte6at7XuqjOg3zrnd2eP/x+jBvPrRIB3bF8gwBAACgwByOFWKZh53bd+u2Gx7Qkaij+S5DbU5XOyhQn0x8W42b5L3SRHUUEhJib0NDQ8u7KwCAMzBLUc/+c6cmf71FyYnpebZxcJQGjGqiC25oJx+/GlxTAAAAlFwAY5jRLR++84WmTpmp1JTUHMdcXFw08tyzNO6+mxUQ6F+Y01Z5BDAAUPnEx6Zq8sTNmjt5t60Hk5caHs4afXVrDbukhVxcncq8jwAAAKiiAUy29LR0bdywVZERUcrKyrKBS/uObeTuzruAeSGAAYDKyyxHPenj9Vq/NDzfNv5B7rr4pg7qOaRBngV9AQAAUL0VOIB5YNyTprnue/h2NWhYr/R7VsUQwABA5bd+2WFN+nC9wvbG59umaRs/XXZ7R7XqFFimfQMAAEAVCWB6dBgiZ2dnha75t/R7VQURwABA1ZCZmaV5U3brr682KyEuLd92XfvX0yW3dFBQg7wL+gIAAKB6KfAqSH7+fnJ1cy3d3gAAUME5OTlqyAXN9dL3w3X25S3l7JL3n9JVC8L01JiZ+uG9tUqIzVkzDQAAANVPgQOYjp3bKiE+UYcPRZRujwAAqAQ8vFx12W0d9fzXw9RjcN6r/mVmHtN/v+/Uo1f/q39+3Ka01Mwy7ycAAAAqWQBz5TUX21uzAhIAADiuVl1P3fZ0Tz3+wSC1aJ/3CoBmKetfP92gJ677V4v/3ZfvikoAAACougq1CtLP3/+h119+XwMG9dGNt16jdh1al27vqhBqwABA1Wf+pK6cH2bDlsiwxHzbNWzha0fPtOtWu0z7BwAAgEoQwJxz1hX29kjUUaWlpdv7bjXc5FvTR06OeQ+kcXBw0JSZP5ZkfystAhgAqD7S0zI1+89d+vu7LUqKP/43My8detTWJbd2VMPmvmXaPwAAAFTgAKZr20GFP7mDg1ZumlOUflU5BDAAUP2YVZKm/bDV1oHJSM/Ks42DgxQyvJEuGNtOAUEeZd5HAAAAVLAAZvIf04v0Cc67cESRHlfVEMAAQPUVdThRv3++SUv/259vG7Oa0tCLmmvUVa3l5cOqgwAAANW6BgyKjgAGALBna7R++WSDtqyOzPdiuHu6aNTVrXTWRS3k6ubERQMAAKgiCGDKCAEMAMAw73usXxpug5iwPXH5XhS/wBo6f2w79T27sRydHLh4AAAAlRwBTBkhgAEAnCwr85gW/7tXf361WdGRyflenHqNvXXhTe3VpW9dW1sNAAAA1SSAiQiP1LdfTdLihct0KCxcaalpWrFx9onjcbHx+uXHP21VwetvvELOzs6l0e9KhwAGAJCXtNRMW6TXFOtNSsh/xaRm7fx1yc3t1Tq4FhcSAACgEipUOrJsySo9dM/TSohPtEOojVPfjfPx9dac/xZq88ZtatGyqQYO6VuyPQYAoAoxdV5GXtlK/Uc30T8/bNWsfFZM2rXpqF69b4E69AzSRTe1V+OWNculvwAAACgax8KMfHnw7qcUH5eg/oNC9No7z8nHxzvflY9MQLNg3pIidgsAgOrFrHx06W0d9eK3w9V3RCO7PHVeNiwL13O3zNYnE5Yp/GBCWXcTAAAApR3AmGlHZuTL0OED9PaHL9pbF9e8B9CE9Otpbzet31LUfgEAUC0FBHnohke669kvhiq4T9182y2bfUBPXT9T3761+rQ1ZAAAAFDJAphFC5ba6UZ33HPjGds2bFRfLi4uOnjwUHH7BwBAtdSgqa/GvRCix94bqJadAvJsk5l5THMn79Zj18zQpI/XKz42tcz7CQAAgBIOYEzBXVc3VzVt1rhA7T083ZWUxDtyAAAUR4sOAXrk7QG69+U+atjcN8826WlZmvHzdj161Qz99fVmJSfmX8wXAAAAFTyAKczSl1lZWUpKTJaHh3tR+wUAAE76G9yxVx09/ekQ3fJkD9Wq55nntUlJytDkiZttEDNj0na7whIAAAAqWQATFFTLLjkdGXHkjG3Xrdmo9PR0NWhYr7j9AwAA/+Po6KBeQxvq+YnDdM29wfINqJHntUmIS9Okj9bbqUlzJ+/Kc1UlAAAAVNAApkfvLvb2r9+nnbadWf3o4/e/su/WhfTtUfweAgCAHJxdHDX4/GZ66bvhuvTWDvL0cc3zCsVEpejbt9boiev+1cLpe5WZSRADAABQ4QOYq6+71L7z9tWn32vh/LyXl44Ij9JD9zyjZaGr5OrqosuuuqAk+woAAE7iVsNZI65opZe/P1vnXtdGbu55r04YdThJX72yUk+PnWVXT8rKOsZ1BAAAKGMOx8yQlQL64Ztf9fpL79vRLS1aNdO+PfuVlpZul6QOO3hYW7fsUFZmlh0F8/TzD+mCi0eXbu8rkZCQEHsbGhpa3l0BAFRR8TGpmvbDVs3+8/TTjho089EFY9spuG/dQtV4AwAAQBkFMMbff83Q6y++r7i4+P8/iYODDV0MHx9vPfTEOI0+b3gxulX1EMAAAMrK0cgk/f3NFi38x0w7yv/PfJPWNXXBDe3UoUcQQQwAAEBFC2CM5KRk/TdzvlavWGeL8mZmZSow0F/B3Tpp2IhB8vLKe3WG6owABgBQ1iIOJmjKN1sUOmufjp2m/Evz9v52REzbrrUIYgAAAMoygJk7e5HcXF0V0o8iuiWFAAYAUF7C9sbZ5amXzz142nYtOwXYIKZNcK0y6xsAAEC1DmC6th2kwFoB+nf+byf2Pfv4y/Ly9tKDj91V1n2sEghgAADlbf+OGP351WatWXzotO3adKml88e0VatOgWXWNwAAgGq7CtKpuczkP6ZrxrTZZdEnAABQChq2qKlxL4ToiQ8HqUOP2vm227I6Uq/cM19vPLhQOzYc4bkAAAAoAXmuV+lWw00JCYklcX4AAFDBNGvrr/te7aft64/or4mbtHlVZJ7tNq2MsFu77rV1/vVt1aJDQJn3FQAAoEqPgGnYsJ7SUtMY8QIAQBXWsmOAHnyjvx5+q/9ppxttWhGhl8bN0xsPMSIGAACgRGvAfPLBRH3y/kS7EoKPr7c8PT0UdvCwnJwcFVSndsFP7uCgKTN/LHLnqhJqwAAAKjLz74CZemRqxJxp2hEjYgAAAEoogElLS9PD9z6r+XMWF+GUJ53cwUErN80p1jmqCgIYAEBlYP4t2LgiQn9N3Kxdm46eMYg577o2atmRYr0AAABFCmCy7dm1T9u37VJycsr/VkHy1IOPjVNhnHfhiEK1r6oIYAAAVTWIMasmnXtdG5avBgAAKGoAc+rS1AGB/pq54PeCNMcpCGAAAFU9iDF1ZEwQ07ZrLTsKFgAAAEUIYExNGHcPd113w+UFaY5TEMAAAKpLENOivb/Ova6t2veoTRADAABQ2AAGxUMAAwCoMkHM8ghN+Wazdmw8fRDTtI2fzrmmtTr3qUsQAwAAqr0iBTAx0bFavnSVDh0MV3JKim69c0y1v5BnQgADAKiKqyZN/nqLtq2LOm3bBs18dc61rdWtf305OjE1CQAAVE+FCmAyMzP17huf6ufvf1d6esaJ/SevdBQXG69zhl2h1JQ0/THtG9VrULfke10JEcAAAKqqrWsiNfmbLTaQOZ26jbw16urW6jW0gZycHMusfwAAABVBof77eeS+8fpu4iQbvjRv0UROTk652vj4euvsUUOUnp6umTPmlmRfAQBABdQ6uJYeerO/Hn13gNp3r51vu0P74vXFSyv0xHUzNX/qbmWkZ5VpPwEAACpFADNz+hzNnjlffv419d0vn2jS5K/kW9M7z7bDRwy2t8uXri65ngIAgAqtZcdA3f9aPz3xwSB17lMn33aRYYn6+vXVevTqGZr56w6lJv//qFoAAABV9wDmz9+m2QJ6d99/i9q2b3Xath06tbVtd+3YWxJ9BAAAlUizdv66+4U+euazIeo2sL7yW5E6OjJZP32wTg9fOV1Tv9uipIS0su4qAABAxQtgNm/cZm+HjTw+uuV0zHLVnl4eij4aXbzeAQCASqtRi5q649leeu7Ls9R7WEM55PNfR0Jsmn7/YpMevmK6fvtsg+KiU8q6qwAAABUngEmIT5SXt6fc3WuUbo8AAECVUq+Jj25+vIde+Ga4+o9uIifnvIfEJCdmaNoP22wQ88O7a3UkPKnM+woAAFDuAYy3j5cNYdLSzjw8+OjRGNu2pn/N4vYPAABUEUH1vTTmwa566buzNfSi5nJ1y13M30hPy9J/f+zUY1fP0Bcvr1DYnrgy7ysAAEC5BTCtWje3t2tXbThj23+mzLS37Tu0KU7fAABAFRQQ5KGrxnXWKz+erVFXtZK7p3Oe7TIzj2nxjH16auwsvf9UqHZtOlrmfQUAACjzAMbUfjl27Jg++eBrZWTkv1rBxvWb9dG7X9oivCPPOauk+gkAAKoYH78auvjmDnr1pxG66MZ28vJ1zbft6oWH9MKdc/Xa/Qu0YXm4/Z8EAACgMnE4VsD/YDIzM3X1Jbdo+9ZdCu7aUdeMuVQTnn5dsTFx+mXKVzp44LDmz1mkKX9MV1pauoK7ddSX371X+l9BJRESEmJvQ0NDy7srAABUSGY56vlT92jGz9sUHXX6QryNW9bUyCtbqduA+nJ0ymeZJQAAgMoYwBgR4ZG686aHtHPHHjvCJS/mdC1bN9dHX7wu/wC/kuxrpUYAAwBAwWSkZ2nJrH3658dtOrw/4bRta9Xz1NmXtVTfEY3zrSkDAABQ6QIYIyUlVd9//Yv+/HWqDh44lONY7aBAXXTZubp27OWslnQKAhgAAAonK/OYVi8K07QftmrP1pjTtvXxc7OFfQef30ye3vlPZQIAAKg0AczJIsKjFBkRpaysLAUE+qte/Tol27sqhAAGAICiMf+qbF4VaUfEbFoZcdq2bjWcNOCcphp+aQv51/bgkgMAgMoXwFx50U1ykINefusZNWrcoPR7VsUQwAAAUHx7tkZr2o/btGr+QZ3uPxgnJwf1HNJQZ1/eUg2b+3LpAQBA5QlgenY8S84uzlq8anrp96oKIoABAKDkhB9I0IxJ27Vo+l5bM+Z0OvSorbMvb6W2XWvlW8MOAACgwgQwIwdfqoSEJC1YPrXUO1UVEcAAAFDyYo+maNZvOzTnr91KTkw/bdtGLX119mWt1GNwfTk5OfJ0AACAMlXg/z669eispMQk7dm1r3R7BAAAUEC+/jV08c0d9NrPI3TZ7R3lF1gj37b7tsfqsxeW69GrZ2jmrzuUnHT6wAYAAKBcAhizspGzs7PeeOUDW3S3rCUmJur5559XcHCwvL297WbuT5gwwR4rSd99950dopy97dmzp0TPDwAASpa7p4tdjvrlH0Zo7CPdVK+JT75tj4Yn66cP1umhy6brl4/X62hkEk8HAACoWKsgzZm1QE898qKaNm+sMTddpeCuHeQf4Ffq86n379+vwYMHa+fOnfZjd3d3uyJCSkqK/bh58+aaM2eOGjZsWOzPFR4ernbt2uno0aMn9u3evVtNmjQp1nmZggQAQNkx/yesXxqu6T9v09Y1Uadtawr29hjcQMMva6nGLWuWWR8BAED1UuAAplu7wYU/uYODVmycreLIzMxU9+7dtWbNGgUFBemrr77SiBEj7LF//vlHY8eOVUREhB0Ns3LlSjk6Fm9O98UXX6zff/9dffr00eLFi+0+AhgAACr3yknTf96uFfMO6NgZBvG26VLLjqTp0DNIjo4U7AUAACWnwGmFyWmKshXXN998Y8MX45dfftHIkSNPTA0aNWqUfv31V3vMtDFti2PSpEk2fBkwYIBuuummYvcdAACUvyat/XTb0z310ndna+iFzeVWwynftltWR+qdxxbr6bGzNG/KbqWlZpZpXwEAQNVV4BEwK5YdD0EKq3vPYBXHwIEDNX/+fHs7d+7cPNuYwGTBggUaNGiQnYpUFFFRUXbqUVxcnNauXavQ0FA7usZgBAwAAFVHYnyaDVdm/b5TsUeOT2fOj5evqwad11RDLmhuC/4CAAAUlXNZBSlFkZycrIULF9r7ZrRLfkaPHm0DGLOZx5gaMYV11113KTIy0hb6bd26tQ1gAABA1ePp7apRV7XW8Etbaul/+/XvL9t1YFdcnm0TYtP097dbNf2n7eo5pIGGX9JCDVtQJwYAAJRiAFMeNm/efGLFpQ4dOuTbLvuYqRezZcsWdenSpVCf588//9TPP/+sTp066eGHHy5mrwEAQGXg7OKoviMaq8/ZjbRpZYT+nbRdG5ZH5Nk2Iz1Li2fss1vbrrU07JIW6tirDnViAABA2QQwJvCIjY239319veXklP+c6qI4ePDgifsNGjTIt93Jx8LCwgoVwERHR+v222+3ff/888/l4uJSIqsdnWrDhg1q27at4uOPXy8AAFBxNGrtoZue6qxDexM0b/JerZh72IYuedm8KtJutep5aMA5DdVzaD25uVfo97QAAEAZ8vb2znN/of9bSElJ1a8//aXpU//Tti07bQhjmACjVZvmGjF6qC6+/Dy5uxd/nvTJYYWHh0e+7U4+Zmq4FMa9996rw4cP67777lOPHj2K2FMAAFAV1G3spSvGtdfoa1tq0T/7tXDafiXEpufZNjIsSb99ulVTv9+pkGH11W90QwUEFX4aNAAAqB4KFcBs37pTD4x7SgcPHMq1wlFGRoY2bdiqzRu36efv/9Ab7z+vVq2bqyKbNm2aXTmpSZMmmjBhQomcM7/aMdkjY/JLwgAAQMVh/lxfekuALhjTUUtm7te/v+5Q2J683+RJSczQnD/3au7kverar57OuriFWnYMsCs2AgAAFDqAORJ1VLeOvV8x0bFycnbSkLP6q0evrgqqU8sejwiP1LKlqzVn5gIb0Nx+wwOa9NeXCgj0V1GdHFYkJSXl2+7kYz4+PgU6txkpc+utt9r7n3zyiTw9PYvcTwAAUDW5uDqp/+gm6jeqsTauiNDMX3dow7LwPNsey5JWzg+zW6OWvjrroha2cK85BwAAQIEDmM8++saGL7WDAvXuJ6/kObrFTD0yo2TG3fqIIiOO2Mc8+tS9Rb7K9evXz1EPxhTJzcuBAwdO3K9Xr16Bzv3MM8/Yx1166aXq06ePEhISchxPTU3NEfCY42aaVVFWWAIAAJWbGc3SoUeQ3Q7ti9es33Zo8b/7lJZyfCr2qfZtj9WXr6zUL59s0MBzm2jQec3kF8j/EAAAVGeOBW24YG6o/efjifEPnnZqUcvWzW0bM0XJPKY4TNFaR8fjXVy/fn2+7UyBW8MEJG3atCnQuXfv3m1vf/nlFzvS5tTttttuO9G2ffv2dt/IkSOL9fUAAIDKr24jb117Xxe99vNIXXJLB/nVyj9YiY9JtctYP3LFdH0yYZl2bjqaaxo3AACoHgocwERFHpWrq4v6Deh1xramjZubq522VBxmtEm/fv1O1GvJT/ax/v37M0IFAACUCS8fV428spVe/uFs3fZ0T7Von/+068zMY1o2+4BevHOuXrhjrhbP2Kv0tLxHzwAAgGoewPjW9JGLq0uBCsqZNs4uLvLxLVg9ltMZM2aMvZ03b54WLVqU67jZN3/+fHv/+uuvL/B5//zzT/sOVH7bV199lWO0jNk3d+7cYn89AACganF2dlSPwQ302PuD9ORHg9R7WEM5Oef//9LuLdH64uWVeujy6fr9i406Gpl/nTsAAFANA5gu3TspMSFJu3buOWPbnTv2KDEhUV27512zpTCuu+46BQcH2/uXXHKJpk+ffiIkMffNPsO0ufbaa3M81gQmJgwy28SJE4vdFwAAgNNp2sZfNz/ew05POm9MW/n4uZ12etLU78z0pBn68Nml2romkulJAABUYQUOYMbedKVcXJz14rNv5ShQe6q0tDS9NP4tubi4aOwtVxe7g6auy+TJk9W8eXMdPnzY1mExKxaZzdw3+8wx08a0BQAAKG++/jV0/vVtbRBz8+Pd1bSNX75ts7KOaeW8g3r1vgV69qb/NG/KbqUmZ5RpfwEAQAUKYNq0a6VX3x6v7dt26vLzb9Qfv05V2IFDSk/PsJu5/+dvU3XFBTdqx7Zdev3d59S6TYsS6WTDhg21du1aPffcc+rcubMNWsxmVkUaP368PWbaAAAAVCTOLo7qPayRnvxosB7/YJB6DT399KQDu+L0zZur9cCl/+jH99fq8P74Mu0vAAAoPQ7HCliKv1u7wSXzCR0ctGLjbFU3ISEh9jY0tHgrQwEAgMot9miKHeUyd8puxR5JOWP79t1ra8gFzdSpd105Op25Fh8AAKjkAUzXtoNK5hM6OGjlpjmqbghgAADAyTLSs7RqQZj++2Ondmw4csaLExDkoUHnNVX/UU3kXTP/2jIAAKCSBzArlq0psU/avefxorrVCQEMAADIz97tMfrv951aNnu/0tOyzjitqfug+hp8XjM1b+9foBUqAQBAJQpgUDwEMAAA4EwSYlO1cPpezZ28W5FhiWds37C5rx0VY+rM1HB35gIDAFCBEcCUEQIYAABQUGZlpA3LwjX7z5329kxvl9XwcFafsxvZUTH1mvhwoQEAqIAIYMoIAQwAACiKiIMJmjN5txb+s0dJ8elnbN+qU6AdFdO1fz25uDpx0QEAqCAIYMoIAQwAACiOtNRMLZtzQHP/2qXdW6LP2N4U6u03srEGntNUtep5cvEBAChnBDBlhAAGAACUlD1bozXnr11a+t+Zi/YaHXrU1sDzmqlzSB05OTnyRAAAUA4IYMoIAQwAAChpifFpWjxjn+ZM3qXw/QlnbO8XWEP9RjWxS1mbZa0BAEDZIYApIwQwAACgtJhFLTevitTcKbu1ZmGYMjNPX7XXwVHq2LOOBp7bVB17BTEqBgCAMkAAU0YIYAAAQFmIOZKshf/s1by/d+toePIZ2/vVclf/UY3tqBj/2oyKAQCgtBDAlBECGAAAUJayMo9p/bLDmjt5t9YvPXzGpazNqJhOvepowOgm6tibWjEAAJQ0ApgyQgADAADKS9ThJM2fulsLp+1R7NHUM7avaWrFjDw+KiawDisoAQBQbgFMVlaWYmPj7H1fXx85OlJN/0wIYAAAQHnLyMjSutBDmjdltzauiDjzqBgHqV232hpwTlMF96krZxf+5wMAoNQDmN279urn7//Q8qWrtXf3flvsLVvjpg3Vs3dXXXrlBWreokmRO1OVEcAAAICKJPJQohZM3aOF/xRsVIyPn5v6DG+k/qObqE5D7zLpIwAA1SqASU9L1ysvvKs/f51qQ5f8mjs4ONjtgotH6eEn75arq2tp9blSIoABAAAVdVTM2sWHNH/qHm1cHn7GUTFGy04BGjCqiboNrC+3Gs5l0U0AAKp2AJOWlqbbxt6vtas32uDFBCyt27ZU67Yt5OdX07aJjo7R1k3btXXLjhNtOnZup0+/fosQ5iQEMAAAoKKLOpyohdP22lEx0VEpZ2zv7umsXkMb2sK9jVv5lUkfAQCokgHM+Cdf1V+/TbP3z73gbN1y5xjVb1A3z7YHDxzSJ+9P1N9/zbAhjGn/7IuPll7PKxkCGAAAUFlkZmZp/dJwW7h33ZLDOpZ15sc0bOFri/b2PquhPL0ZCQ0AQIEDmG1bd+rKC2+y9x9/5j5dfPl5KohffvpLL41/yxbm/eH3z9SqdfMCPa6qI4ABAACVUXRkshZO32tXUDKrKZ2JKdTbtX89G8a06VJLjo4OZdJPAAAqunxL2U/5Y7qdUjTynKEFDl+MS684XyPPOcs+1pwDAAAAlZdfLXede20bvfT92Xrg9X7qMbjBaVdDykjP0rLZB/TGgwv16FUz9NfETQUKbgAAqOryrZq2fOkqO5XoymsvKfRJr77+Uv3z9yx7DgAAAFR+ZiSLWZLabAmxqQqduV8Lpu3Rwd1x+T7mSHiSJn+9RVO+2aK2XWur74jGdnSMq5tTmfYdAIAKHcCEH4qUk5OT2ndsU+iTtuvQWs7OzvYcAAAAqFq8fN007JIWOuvi5tq9JdouZ71szgGlJGXk2d5MeN+0MsJu7p4u6jmkgfqNaKymbf3sG34AAFTrACYxMUmenh5FPrF5bFJScpEfDwAAgIrNhCfN2vrb7Yo7O2nFvINa+M9ebVsXle9jkhPTNW/KbrvVa+xtR8WEDG8kX/8aZdp3AAAqTADjW9NH0UdjlJ6WLhdXl0Kd1DwmLi5e/gEsRwgAAFAduLk72zDFbOEHEuxS1otm7FPskfyXsw7bG69fPtmg3z7bqI69guxjO4fUPW2NGQAAqlwA07hJQx09Eq0loSvVf2DvQp10yeIVtghvo8YNSqKPAAAAqESCGnjp4ps76IIb2mnDsnA7Kmbt4kPKzMxz8U1lZR3T2tDDdvPycVXPoQ3U9+zGatyqJlOUAABVP4AJ6dtdq1as1acfTFTf/j3tstIFkZWVpU8+mGj/WPbp16Mk+woAAIBKxMnJ0Y5oMVt8TKqWzNpvw5gDu2LzfUxCXJpm/7HLbvWb+thRMb3PasgUJQBApedwzAxVycPRozE696wrlJKSqrNHDdH4Fx8941QkM/Xomcdf1vSp/8ndvYamzPpJ/v41S6vvlUpISIi9DQ0NLe+uAAAAlBvzr+e+7TFaOH2vlv53QIlxaQVagal9j9p2VExw37pycWUVJQBAFQpgjB+++VWvv/S+Hc3SuEkD3XDrNRo8tL88vXIW501MSNJ/M+dr4mffa++eA3bffQ/frmvGXFb6X0ElQQADAACQU3paptYsPqRF0/dqw/JwHcs68xWyqygNrq8+ZzdW8/b+TFECAFSNAMYwAYwJYrKXCDS3DRrWs0V6jZjoWB08cMi+m5F9qiuvvVgPPT6uLPpfaRDAAAAA5C86KllLZ+23YYwpzlsQtet7qs/wRnYVpcA6nlxeAEDlDmCMf6bM1DtvfKKI8P9fUjA7kDn54bVqB2rc/TfrnPPPLq3+VloEMAAAAGdm/rfcuy3GBjFL/tuvpPj0Al22Vp0CFTK8oboPbCAPr8Kt4AkAQIUJYIz09AzN/W+hli1ZqZ079tiRL0bNmj5q1qKpeoV01aCh/eXikm9d32qNAAYAAKDwU5TMykiLZ+zV+qXhdrWkM3FxdVRwn7p2VEz7HkFydmZJawBAJQtgUDwEMAAAAEUXF51ii/Yu/nev9m3PfxWlk3nXdFPPwQ3syJgmrf2oFwMAKFcEMGWEAAYAAKBkmGWsF/+7T0tm7lPs0dQCPaZOQy/1HtbILmldqy71YgAAFTCA2bVzjyZ9/6c2btiihPhE+fh6q1Nwe11xzUWq36Bu2fW0kiOAAQAAKFmZmVnatDJCof/u1+qFYUpLzSzQ41p0CLBBTI9B9eXl68bTAgAo/wBm6uR/Nf6JV5WZefyPmWmaXXzX1dVFL7/5jAYO6Vs2Pa3kCGAAAABKT3JSulbND1PozH3asjpSBZlk7+TsoI4966j3sIbqHFJXrm5OPEUAgLIPYPbuOaDLzx+rtLTjlecDawUoqE4tu+R0dgFeTy9P/THtG3sMp0cAAwAAUDaORiZpyaz9dmRM2J64Aj2mhoezug2op15DG6ptl9pydDr+piMAAKUewLz24nv68dvfFBDopwkvP67efXucODZj2mw9//TrSkpK1h1336Abb7u2xDpUVRHAAAAAlC3zb+6+HbE2jFn6337FHkkp0ON8/d3Uc0hD9RragOK9AIDSD2AuO/8G7dy+Wy++/pTOHjUk1/HvJk7Sm698qN59uuvDL14vuR5VUQQwAAAA5Scr85i2rIm0U5RWzg9TanJGgR4X1NDLjorpNaSB6jT0LvV+AgCqYQDTv/soJSenaNGqf+Tmlrs4WdiBQzpn2JVq1LiB/pz+XVn0tVIjgAEAAKgYUlMytGbxIS2ZuV8bloUrK6sABWMkNW5V04YxZmlrv1rupd5PAEDV4pzfATO9yM+/Zp7hi1G3fp0T7QAAAIDKwq2Gs3qZKUZDGio+JlXL5xywU5R2bDx62sft3RZjt18+Xq9WnQPt403dGFZSAgAUK4A5ecWjvGQfO8Mq1gAAAECF5V3TTUMubG63yEOJNogxNWMO7Y3P9zHm39+ta6Ls9v07a9S+R5CdohTcr55quOf77zUAoJrjLwQAAAAgqVZdT51zTRuNvrq19u88Xrx32X/7FR2Vf/HezMxjWrfksN3MMtadetdRzyEN1LFXHZa1BgAUPIBJTkrWJx9MVHHa3HrnmNM+HgAAAKhIzEjvRi1q2u2SWzpo+7ooLZ19QCvmHVRiXFq+j0tLzbRtzGaWte7St54NY9p1ry1nZ8cy/RoAAJWoCG/XtoNOOwWpoFZumlPsc1QFFOEFAACo3DLSs7RxRbiWzT6g1QvDlJqSWaDHefq4qmv/erZ4b+vgQDk5EcYAQHV02hEw1HcBAAAA/vePs4ujOofUtZtZSWnt4sNaOvv4SkomnMmPGTWzYOoeu/n4uanbgPrqMbiBWnYMkKNj8d/wBABU8hEwKFmMgAEAAKiakhLStGrhIS2fvV+bVkYWeFnrmoE11H3g8TCmWVt/whgAqOIIYMoIAQwAAEDVZ5a1NjVgzDSl7euj7IpJBeFf2/14GDOogZq29SuRUgAAgIqFAKaMEMAAAABUL0cjk7Ri7kEtn3NAuzZHF/hx/kHuNogxgUzTNoQxAFBVEMCUEQIYAACA6ivqcKKWzzkexuzdHlPgxwXW8VC3gfUJYwCgOgUwB/aHaerkf7Vy2Rrt3x+m2Jg4mYGRvjV91bBRPXXrGazR5w1X/QZ1S7/XlRABDAAAAIzwAwlaPveADWMO7Ior8EUJCDoexvQwI2OYpgQAVS+AyczM1GsvvqffJ/1t7xunPiR7jqqTk5MuueI8PfDonfY+/h8BDAAAAE4Vtjfu+DSluQcVtqfgYYypGWNWU+o+qD4FfAGgKgQwWVlZGnfrI1qyaMWJ0MXPv6ZatW4u35o+9mMzEmbb1p2KPhpzIowJ6ddD733yCsXDTkIAAwAAgNM5uDtOK+aZkTEHdWhffIEvll8td3XtX89OU2rRPkCOThTwBYBKF8B89dkPeu/NT+19E6rcPu4GdejUNs+269du0sfvfaXQRctt8HLPA7fquhuvKL2eVzIEMAAAACgI8+/5wT1xWjHnoF1RqTBhjK+/m7r2P14zpmWnADk5OXLRAaCiBzCpqak6q99FSkpM0mVXXaBHnrynQCd8ecLbmvTDn/L28dLMBb/L1dW1pPtcKRHAAAAAoMhhzNz/hTF7Cx7GePm6qmu/enaqUpsuteTsQhgDABUygPlnykw98fALataiiX7+84sC13TJyMjQZeffoL279+v5V5/QyHPOKuk+V0oEMAAAACipaUomkAkrRBjj4eWiziF11XVAPXXoESRXN+o1AkBZc87vwMoV6+xUIjP6pTAFdZ2dnXX5VRfqleff0aoVawlgAAAAgBJSv6mP6jdtp/PHtLNFe1fONyNjwnRgV+xpH5eUkK7Qmfvs5lrDSR171VG3AfXUqVcduXu68PwAQHkGMFs3b7e3PXp1KfRJe4V0+985dhSnbwAAAADyUa+Jj93Ova6tXdr6eBhzUHu3HV8cIz9pKZlaOe+g3cy0pHbdatsivsF968rb143rDQBlHcBEhEfJ0dFBTZs1LvRJGzdtKEdHR4Ufjixu/wAAAACcQVADL426qrXdIg8latWCMBvG7Np09LSPy0jP0rolh+3m8IbUqlOguvWvry796sq/tgfXHQDKIoBJTEiUp6dnkU5qpi55eXnacwAAAAAoO7Xqeursy1raLToyWasWhtnRMdvWRelYVv6PM8e2romy2w/vrVXTNn7q0q+eDWPqNfbhKQSA0gpgkpNT5B/gV+QTu7g6Kz4+ociPBwAAAFA8frXcNfTC5naLj0nV6kUmjAnT5lURyszIcy2OE3Zvibbb759vVJ2GXnaaUpe+9dSkjZ8dKQ8AKKEAJp/FkQAAAABUQt413TRgdFO7JSWkaW3oYTtVacPycFsX5nQO70/QtB+22a1mYA0bxJiRMa2Da8nZmeWtAaBYAQwAAACAqsnDy1UhwxrZLTUlQxtXRGjV/DCtDT1kV0w6nZioFM35a5fdzApKnXrXUZe+ddWhZxArKgHAaTgcy2eoS9e2g2wtl6IypzWPX7lpTpHPUZWEhITY29DQ0PLuCgAAAJCnjIwsbV0TaUfGrF50SLFHUgp8pcyKSm261LJhjFlRqWaAO1cZAAoawBQXAcz/I4ABAABAZZKVdczWgFm9MMwW8g3fX7j6jraIrw1j6qleE+9ivbkLAFU6gPnk/Ykl8gluvWtMiZynsiOAAQAAQGVlXjIc2hev1f8bGWOCmcKoXc9TnfscHxnTsmOAnJyoGwOg+sk3gEHJIoABAABAVXE0MklrFh2yYczW1ZHKzCz4SwoP7+y6MfXUvkdtuXu4lGpfAaCiIIApIwQwAAAAqIrMikrrl4bbMGb90sNKScooVN2Y1p0DFdynrh0hExDkUap9BYDyRABTRghgAAAAUNWlp2Vq65oorV4UpjWLD9kVkwqjYXNfde5TxwYyjVv5ydGRujEAqg4CmDJCAAMAAIDqxBTx3bc95ngYs+iwDuyKLdTjff3d7FSlziF11a5bbbm5O5daXwGgLBDAlBECGAAAAFRnkYcStXbx8box29ZG2YCmMFOV2natZcMYE8owVQlAZUQAU0YIYAAAAICT6sYsC9faRYe0bmm4khPTCz1VqVNIHRvGNGvjL0cnpioBqPgIYMoIAQwAAACQW0ZGlnasP2JrxpgRMhFhiYW6TF6+rurU63gY075HkDy8WFUJQMVEAFNGCGAAAACA0zt27JgO7Y3XmtBDWhd6WDs2HtGxrIJfNScnB7XoGHBiqlKdhl5ycGB0DICKgQCmjBDAAAAAAIUTH5uqDWaq0uJD2rDcTFUq+BLXRq16nurYK8iGMW2Ca8nF1YmnAEC5IYApIwQwAAAAQNFlpGdp+/oorQ09XKSpSq41nGwh3+zpSv61PXg6AJQpApgyQgADAAAAlNxUpfD9CVq75LDWLTms7euilJlZ8FWVjPpNfdTRhDG9gtS8Q4CcnR15egCUKgKYMkIAAwAAAJSOpIR0bVwRbsOY9UvDFR+TWqjHu3s6q1232jaQMVOWaga481QBKHEEMGWEAAYAAAAofVmZx7Rna7QNY9YtPay922IKfY6GLXzVsWeQDWSat/eXkxOjYwAUHwFMGSGAAQAAAMpezJFkOypm/dLD2rgiQilJhSvk6+7ponbda9tApkOPIPnVYnQMgKIhgCkjBDAAAABAxSjku35ZuNYvOaywvfGFPkeDZr52mlKHnkFq0T5Azi6MjgFQMAQwZYQABgAAAKhYog4nHh8ds+ywNq+KVFpKZqEeX8PD2a6sZEbGmEAmsI5nqfUVQOVHAFNGCGAAAACAiis9LVNb10bZqUpmhIxZZamw6jT0skGM2Vp3riVXN6dS6SuAyokApowQwAAAAACVR2RYoh0Zs2FZuDavLvzoGDM1qVXnQDs6pn2P2qrfxEcODg6l1l8AFR8BTBkhgAEAAAAq7+iYbevM6JhwG8gc2lf42jF+gTXUrvvxQr6mqK+Xj2up9BVAxUUAU0YIYAAAAICqIepwkjYuD9eG5eHatLLwKyuZgTBNWvvZkTHtuwepWTt/OTtTzBeo6ghgyggBDAAAAFD1ZGRkaefGo8cDmWXh2rs9ptDnMMV82wTXOh7I9AhS7XqeTFcCqiACmDJCAAMAAABUfbFHU+yoGDM6ZuPyCMXHpBb6HIF1PdS+W207ZalNl1pMVwKqCAKYMkIAAwAAAFQvWVnHtH9HjDYsj7AjZHZsOKLMzGOFOoeDo9SklZ+tG2NCmebtA2yBXwCVDwFMGSGAAQAAAKq35KR0bV0TpY0rwrVxRUSRlrp2q+FkV1cytWPadautek28ma4EVBIEMGWEAAYAAADAySIPJWrTiggbyGxaGankxPRCXyDfgBpq19VMV6qttl1ryS/QnYsMVFAEMGWEAAYAAABAfjIzs7R7S/T/ApkI7dp01E5hKqx6TXzUrlstte1aW607B8rd04WLDlQQBDBlhAAGAAAAQEElJZjpSpG2oK+drnSg8NOVHB0d1Kytnw1j2pr6MWa5a+rHAOWGAKaMEMAAAAAAKKqow4k2iNm8MkKbV0UqIS6t0OdwNfVjOgXaqUomlGnY3NeGNADKBgFMGSGAAQAAAFCSqyttNGHMykhtWxeljPSsQp/Hy8dVrbvUUrv/BTK163tS0BcoRQQwZYQABgAAAEBpSEvNtEtc2xEyqyK0b3uMjhW+fIz8a7vb0TFtutRW2y615FeLgr5AtQxgEhMT9dZbb+nXX3/Vzp077b7mzZvr4osv1v333y9PT89Cn3PPnj365ZdftHLlSm3cuFERERGKjo5WjRo11LRpUw0ePFh33HGHWrVqVez+E8AAAAAAKAsJsanasibK1o8xU5YiwhKLdJ6ghl42iLEFfYMD5e3rVuJ9BaqTShHA7N+/34Yh2cGLu7u7TLdTUlJOBDFz5sxRw4YNC3Xezz//XDfffPOJj52dneXl5aXY2Fh7fsPFxUXvvfeebr311mJ9DQQwAAAAAMqrfoyZqrRpVYS2rI5UXHRqkc5jasa06WJGyNSytWQ8vFhhCahSAUxmZqa6d++uNWvWKCgoSF999ZVGjBhhj/3zzz8aO3asHbkSHBxsR7I4OjoW+NwmtJk3b5769u1rHx8YGGjnPKalpWn+/Pl69NFHT5xz0aJF6t27d5G/DgIYAAAAAOXNvPw7uDvOFvI105W2ro1SSlJGoc/j4Cg1aeWn1sG17CiZlh0D5ObuXCp9BqqKCh/AmMDlhhtusPdNKNK/f/8cxxcsWKABAwacaDtmzJgS+9xmOlKDBg2UlJSkm266SZ999lmRz0UAAwAAAKCiyczM0p6tMTaMMaGMqSVTlIK+Tk4OatrGzxb1bRNcS83b+8utBoEMUKkCmIEDB9rgxdzOnTs3zzYmgDFBzKBBg+yolpLUtWtXrV692o66MSNuiooABgAAAEBlKOi7c+MRbV4daacr7d4cbVddKixnF0c1betnw5jsQMbF1alU+gxUFhU6kkxOTtbChQvt/VGjRuXbbvTo0TaAMZt5jKkRUxIiIyO1devWE3VmAAAAAKAqc3VzskV3zWYkJ6Vr+7ojdoTMljWR2r/D1Ms883nMKBrzOLNN+WaLDWSat/O3xXzNtCVzn0AG1U2FDmA2b96srKzjw986dOiQb7vsY6ZezJYtW9SlS5cif05zDlNTZvHixRo/frydfuTq6qpx48YV+ZwAAAAAUBm5e7ioU+86djMS4tK0bW3k/0bIRClsT1yBzmMCGVNvxmz6mkAG1VOFDmAOHjx44r6pxZKfk4+FhYUVKYDp16+fLbR7qsaNG+vrr79W69atCzXV6FQbNmxQ27ZtFR8fX+i+AQAAAECF4CC1DPax23ljmys+OlXbN0Rr+7qj2rEhWpEHk4ocyDRu5aPmHfzUooO/mrTxtaNxgMrI29u78gUwJ4cVHh4e+bY7+VhcXMES2FMFBATYVZZSU1MVExNj9zVr1kxvvfXWiSK/AAAAAID/5+3npq7969jNiPk/9u4DOoqqC+D4TSCUJJTQe5Xee2/SRIoUQZrSQbGgCIKIUgQUBEEFBBHpShEQadJ777333ksoSYDsd+4Lu1/KpmfT+P/OmbObnZmdtzNvJzN337vvjpecPnTPBGNOH7wrt68/DXNA5syR+2ZaOeecJEjoJNnypJDXCnuYoEzO/CkYZQlxXqwOwESnRYsWBQjirFq1Sr766it56623pGHDhvLXX3+Jm5tbqO+zbdu2EFvGBBcJAwAAAIC4Tu93suZIKzUa+v199+YTOb7/tknoe/Lgbbl19XGY3ufFc4ucO3bfTKvmnTOjLGXP5yF5i6aRfMXSyGuFU4uru4tjPwzwKgVg/AcrNBdLcPzPS548eaS3q+/RrFkzqVmzphQtWlQWL15s8sGMGDEi0u8NAAAAAK+KVOlcpWKdbGZSd2488et6tP+WnDxwW26GNSDzwiJnj94103+zT4qTs0i23Cklb7E0flOR1OKeIrGDPw0QjwMwmTNnDpAPRoMh9ly+fNn2PFOmTFG2/ZQpU0qHDh1k8ODBMnHiRAIwAAAAABAJqdMHDMhoCxlrQEYfb14JW0DG4ity4dR9M636+7R5LVOO5JK3aGrTSkYnj7RRMzou8EoEYDRprbOzsxkJ6dChQ1KvXr1gE9yqBAkSSP78+R0SBNJuSTo6Urp0fsOxAQAAAAAi30KmQu1sZlL3bj01gRgdaUkfr196FOb30hGZdFr/7znzd9pMbpKnyP8DMukyu4mTkxOHDDEmVgdgkiZNakYn2rhxoyxbtky++OILu8vpPFWlShWzTlQ6e/as7bm7u3uUvjcAAAAA4P+01Ur5WlnNpB7c9TJdlawjJoV12Gul+WZ02rriovk7RarEkqeIXzAmT9HUkiVnCnFOQEAG0cfJYrFYJBabMmWKdOzY0TzfvHmzVKpUKcB8HTpagzTWZdu3bx/m937+/LkkTBh8DOr69etSrFgx0/KlbNmysmPHjgh/DmsS3uCS9AIAAAAAQub5wFtOHbpjgjI6XTxz33RHioikbglNMl+/oExqyZHPQ1wSMfQ1XuEAzIsXL6R06dKyf/9+yZAhgwmy1K1b18xbsWKFydGigZLixYvL7t27TTckq/Xr10uNGjWCDc4UKVJEWrduLQ0aNDDdnazBmHv37snSpUvl66+/lvPnz5tmarqt2rVrR/hzEIABAAAAgKj15NEzOXXotl9Q5uBtOX/inhlBKSISujhLzvweptuSBmVeK5xKXN0Tccjw6gRg1KVLl0wg5cyZM+Zvazejp0/9xpTPnTu3rFu3TrJm9WumFtYAjCbZffDggXmuwRcd/UgDPtbXrCMxTZgwwQRqIoMADAAAAAA4lrfXczl37J6cOOjXQkZHTfLxfhGh99J0MZlzpngZkPGbNGcNEC9zwFhpYOXAgQPy448/yvz5822BGB0VSYeL/vzzz8XNzS3c7ztv3jxZs2aN6cZ08eJFuXXrlgnAaEubggULmhYv2sImffr0DvhUAAAAAIColDhJQslfIq2Z1PNnvnL+5D05dfCOraWMtpoJC22qcPnsAzOtW+SXGzRV+qSSp1Bqee1lK5nMOZKTRwbxqwVMfEA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            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "d10c26cf85281ef9512f691791d4584bb24bb87f5ee43ca7ed14988d9f0fb1fc",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Corrected/unadjusted initial loss: 0.6931471824645996 0.6540467739105225\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "af5b73eabe32b61662e27cfc0782756d4e314060fc46c7736a32e51f9feb0696",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Loss before/after: 0.6931471824645996 0.5418724417686462 ; chosen probability: 0.4 -> 0.3\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "ef2c20999d04ebe4fb00e743092a3e5c6958703d9a98880f1a881906bf1989cf",
      "outputs": []
    },
    {
      "sourceHash": "99812d613ed09b799f3ba9b9525e0c5124399097ddef3d93a41e6c6b55c8716a",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Reversed-label loss: 1.5064733028411865\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "4b421ee025aa53c3b93d6418cc59269e77a6409da48b4296130382e1d54a9421",
      "outputs": []
    },
    {
      "sourceHash": "cbbc8ecce608355ecc5d65763abada013e7b361e78c7c8c7f274a087769e4b42",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Reference gradient is zero.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "cf9ca5f3980888dfcca009d3e68f149b59a22fee3d64e97cc6246d5cc1e91406",
      "outputs": []
    },
    {
      "sourceHash": "85ea214165fa9399c942233ad00b9abc8a92e92e07405fb98ade7b61d9151527",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "One-pair logit gradient agrees with independent margin derivative.\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
