EMM441_A3_S5_HookesLawVariable.ipynb

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            "_view_count": null,
            "_view_module": "@jupyter-widgets/output",
            "_view_module_version": "1.0.0",
            "_view_name": "OutputView",
            "layout": "IPY_MODEL_1d15f0b310b24ee380e58685367c1d12",
            "msg_id": "",
            "outputs": [
              {
                "output_type": "display_data",
                "data": {
                  "text/plain": "<Figure size 1000x500 with 1 Axes>",
                  "image/png": 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SoEEDGjZs6BKC8uTJQ40aNW74mA0aNCA2Npb169ezd+9eTp06leyxKleuTIECBdx+bsWLF09yjUz+/PlT9MU0ICCAli1bsnDhQq5cuQKY4Vk5cuTgoYcecu63e/duOnbsSN68ecmTJw+FChVyhrhrz1GxYsVSPAHFJ598QvXq1fH19SUgIIBChQrx008/JXvey5cvn6StQoUKN5x6f9++fViWRfny5ZO8J//8888UTSxRp04dFixYwPnz59m0aRODBg3i4sWLdOnShT179qSoxsjISE6fPu3SXrp06Zs+doKSJUsmabv6HJ86dYrLly8n+bwDybZdK0+ePIAJyylx6NAhypcv7/JHGDBDVBNuv1H9Cb+vEur38fHhnXfeYcmSJRQuXJiGDRsybtw4Tpw4kaJ64uPjmTBhAuXLl3f5fO/YsSPZ99LN6hGRrEPXUIlIukvrRUKLFClCkSJFWLx4Mb///jt33XWX87b4+HgABgwYQMuWLZO9/42+3L3//vt0796dH374gZ9//pmXXnqJMWPGsGHDBooXL35Ldffp04e5c+fSr18/6tevT968eXE4HDzyyCPOugGKFi1K6dKlWbNmDaVKlcKyLOrXr0+hQoXo27cvhw4dYu3atdxzzz1JvkxeK2FygDVr1lCyZEkCAwOpUKECDRo0YNq0aURFRbF27drrXleWUldf+3Q16ybX5SR4/PHHWbRoEYsWLeKBBx7gu+++o0WLFs5rby5cuEBISAh58uRhxIgRlC1bFl9fX/744w8GDhzo8vqBa2/WjXz++ed0796dDh068OqrrxIYGIinpydjxozhn3/+SdExbiY+Ph6Hw8GSJUuSfZ1Sc12Mt7c3derUoU6dOlSoUIEePXowf/585x8LUiulrxPc+jm+mUqVKgFmza30kJL6+/XrR7t27fj+++9ZtmwZgwcPZsyYMfzyyy/ceeedNzz+6NGjGTx4ME899RQjR46kQIECeHh40K9fvyTvz5TWIyJZgwKViKSb4OBg4uPj2bdvn/OvxgAnT57kwoULBAcHO/cD2Lt3L2XKlHHuFx0dzYEDB2jWrJnLcX19fVm0aBFNmjShVatWhIaGOidqSLi/l5dXkvulVLVq1ahWrRpvvfUWv/32G/feey8zZszg7bffdut4Cb799lu6devG+++/72y7cuVKsjMZNmjQgDVr1lC6dGlq1qxJ7ty5qVGjBnnz5mXp0qX88ccfDB8+/KaPmTD0bu3atZQsWdLZ+9WgQQOioqL44osvOHnyJA0bNrzhcdI6FF/rgQceIHfu3M6pss+fP+8y3G/16tWcPXuWBQsWuNR64MCBW3rcb7/9ljJlyrBgwQKX53i9gLJv374kbX///fcNZ18rW7YslmVRunRpKlSocEv1Xi3hDwnHjx9PUY05c+ZM0eQQ7goMDMTX19dlproEybVdq0KFClSsWJEffviBSZMm3TRoBgcHs2PHDuLj413+sJAw/DPh90pqlS1blldeeYVXXnmFffv2UbNmTd5//30+//xz4PqfhW+//ZbGjRszZ84cl/YLFy5QsGBBt2pJ78+diKQNDfkTkXTTpk0bgCQLU44fPx6Atm3bAubaDG9vbz744AOXv87OmTOHsLAw535Xy5s3L8uWLSMwMJDmzZs7exMCAwNp1KgRM2fOTPJFE0gy5Olq4eHhzmnXE1SrVg0PD49kp3lPLU9PzyR/fZ48eXKS61rABJ6DBw/y9ddfO0OQh4cH99xzD+PHjycmJuam109dfayNGzeyatUq530KFizIHXfcwTvvvOPc50Zy5coFkKJp7N3h5+dHx44dWbx4MdOnTydXrly0b9/eeXvCX/Ovfv2io6OZNm3aLT1ucsfduHEj69evT3b/77//3uUavE2bNrFx48YbXiPUqVMnPD09GT58eJLzb1kWZ8+evWGNq1atSrbXIuG6rWuHyq5fv97lmp0jR47www8/0KJFi+v2iqQFT09PmjVrxvfff89///3nbN+/fz9LlixJ0TGGDx/O2bNneeaZZ5J8FsEskbBo0SLA/H45ceIEX3/9tfP22NhYJk+ejL+/PyEhIamqPzIy0jnkNEHZsmXJnTu3y+c/V65cyX4Okvt8z58//7rXbKZErly50mzIsYikH/VQiUi6qVGjBt26dePDDz90DtnatGkTn3zyCR06dKBx48YAFCpUiEGDBjF8+HBatWrFAw88wN69e5k2bRp16tRxmezgagULFmT58uXcd999NGvWjHXr1lGsWDGmTp3KfffdR7Vq1Xj22WcpU6YMJ0+eZP369Rw9ejTJujAJfvnlF3r37s2DDz5IhQoViI2N5bPPPsPT05POnTvf9PnGxMQk24tVoEABXnzxRe6//34+++wz8ubNS+XKlVm/fj0rVqxwTjl9tYSAs3fvXkaPHu1sb9iwIUuWLHGuo5MSDRo0YNSoURw5csQlODVs2JCZM2dSqlSpmw5nLFu2LPny5WPGjBnkzp2bXLlyUbdu3VRdg3Mzjz/+OJ9++inLli2ja9euzhAHZor2/Pnz061bN1566SUcDgefffbZLQ+Puv/++1mwYAEdO3akbdu2HDhwgBkzZlC5cmUuXbqUZP9y5cpx33338cILLxAVFcXEiRMJCAjgtddeu+5jlC1blrfffptBgwZx8OBBOnToQO7cuTlw4AALFy6kZ8+eDBgw4Lr379OnD5GRkXTs2JFKlSoRHR3Nb7/9xtdff02pUqWSTL5RtWpVWrZs6TJtOpCiHs1bNWzYMH7++WfuvfdeXnjhBeLi4pgyZQpVq1Zl27ZtN73/ww8/zM6dOxk1ahRbt27l0UcfJTg4mLNnz7J06VJWrlzpnLykZ8+ezJw5k+7du7NlyxZKlSrFt99+y6+//srEiRNTPLlFgr///pumTZvy0EMPUblyZXLkyMHChQs5efIkjzzyiHO/2rVrM336dN5++23KlStHYGAgTZo04f7772fEiBH06NGDe+65h507d/LFF1+49LqnVu3atfn666/p378/derUwd/fn3bt2rl9PBFJJxk9raCIZF0J06Zv3rw52duvntI8QUxMjDV8+HCrdOnSlpeXl1WiRAlr0KBBLtNcJ5gyZYpVqVIly8vLyypcuLD1wgsvWOfPn7/pY+zfv98qUqSIdccdd1inT5+2LMuy/vnnH+vJJ5+0goKCLC8vL6tYsWLW/fffb3377bfXfX7//vuv9dRTT1lly5a1fH19rQIFCliNGze2VqxYcdPXplu3btedSr5s2bKWZZlpmXv06GEVLFjQ8vf3t1q2bGn99ddfVnBwsNWtW7ckxwwMDLQA6+TJk862devWWYDVoEGDm9aUIDw83PL09LRy585txcbGOts///xzC7CeeOKJJPe5dnpxyzLTTFeuXNk5BXbCFOrJnZOE1yQ1Uz7HxsZaRYoUsQBr8eLFSW7/9ddfrXr16ll+fn5W0aJFndOHA9aqVatcak+unuSeV3x8vDV69GgrODjY8vHxse68805r0aJFSWpPmHr73Xfftd5//32rRIkSlo+Pj9WgQQNr+/btLo+R3LTjlmWm+b/vvvusXLlyWbly5bIqVapk9erVy9q7d+8NX5clS5ZYTz31lFWpUiXL39/f8vb2tsqVK2f16dPH5b1hWWZ68169elmff/65Vb58eedzuvr1ubrGhM/LzepPOO61knvvrly50rrzzjstb29vq2zZstbs2bOtV155xfL19b3h87z2GO3bt7cCAwOtHDlyWIUKFbLatWvnMrW/ZVnWyZMnnZ8pb29vq1q1akmm9r/63F0LsIYOHWpZlmWdOXPG6tWrl1WpUiUrV65cVt68ea26deta33zzjct9Tpw4YbVt29bKnTu3BTjfT1euXLFeeeUVq0iRIpafn5917733WuvXr0/ynkuYNv3a5RkS6ry6/kuXLlmPPfaYlS9fPgvQFOoimZTDsnT1o4iIyO3A4XDQq1cvpkyZYncpLjp06MDu3buTvb5LRCSr0zVUIiIikmYuX77ssr1v3z4WL15Mo0aN7ClIRCSd6RoqERERSTNlypShe/fuzjXkpk+fjre39w2vMxMRycoUqERERCTNtGrVii+//JITJ07g4+ND/fr1GT16dLILDouI3A4yzZC/sWPH4nA46Nevn7PtypUr9OrVi4CAAPz9/encuTMnT560r0gREZFMzLIs26+fmjt3LgcPHuTKlSuEhYWxdOlSatWqZWtNIiLpKVMEqs2bNzNz5kyqV6/u0v7yyy/z448/Mn/+fEJDQ/nvv//o1KmTTVWKiIiIiIi4sj1QXbp0ia5duzJr1izy58/vbA8LC2POnDmMHz+eJk2aULt2bebOnctvv/3Ghg0bbKxYRERERETEsP0aql69etG2bVuaNWvmsiDmli1biImJoVmzZs62SpUqUbJkSdavX0+9evWSPV5UVJTLiubx8fGcO3eOgIAAHA5H+j0RERERERHJ1CzL4uLFixQtWhQPj7TpW7I1UH311Vf88ccfbN68OcltJ06cwNvbm3z58rm0Fy5cmBMnTlz3mGPGjMmQ1eBFRERERCRrOnLkCMWLF0+TY9kWqI4cOULfvn1Zvnw5vr6+aXbcQYMG0b9/f+d2WFgYJUuW5O+//6ZAgQJp9jiScjExMaxatYrGjRvj5eVldznZks6B/XQO7KXX3346B/bTObCfzoH9zp07R4UKFcidO3eaHdO2QLVlyxZOnTrlMvNPXFwca9asYcqUKSxbtozo6GguXLjg0kt18uRJgoKCrntcHx8ffHx8krQXKFCAgICANH0OkjIxMTHkzJmTgIAA/fKwic6B/XQO7KXX3346B/bTObCfzkHmkZaXAtkWqJo2bcrOnTtd2nr06EGlSpUYOHAgJUqUwMvLi5UrV9K5c2cA9u7dy+HDh6lfv74dJYuIiIiIiLiwLVDlzp2bqlWrurTlypWLgIAAZ/vTTz9N//79KVCgAHny5KFPnz7Ur1//uhNSiIiIiIiIZCTbZ/m7kQkTJuDh4UHnzp2JioqiZcuWTJs2ze6yREREREREgEwWqFavXu2y7evry9SpU5k6dao9BYmIiEimY1kWsbGxxMXF2V1KlhITE0OOHDm4cuWKXjub6BykP09PT3LkyJGhyyVlqkAlIiIiciPR0dEcP36cyMhIu0vJcizLIigoiCNHjmhtTpvoHGSMnDlzUqRIEby9vTPk8RSoREREJEuIj4/nwIEDeHp6UrRoUby9vfWlNBXi4+O5dOkS/v7+abagqaSOzkH6siyL6OhoTp8+zYEDByhfvnyGvM4KVCIiIpIlREdHEx8fT4kSJciZM6fd5WQ58fHxREdH4+vrqy/zNtE5SH9+fn54eXlx6NAh52ud3nQmRUREJEvRF1ERuZGM/h2h30giIiIiIiJuUqASERERERFxkwKViIiIZCtxcbB6NXz5pflvdp+9unv37nTo0MHuMm5JqVKlmDhxot1lSDalQCUiIiLZxoIFUKoUNG4Mjz1m/luqlGlPL927d8fhcCT5adWqVfo9aCpMmjSJjz/+2O4yAHA4HHz//fdpftxhw4Y5X/ccOXJQsGBBGjZsyMSJE4mKikrVsVavXo3D4eDChQtpXqdkTZrlT0RERLKFBQugSxewLNf2Y8dM+7ffQqdO6fPYrVq1Yu7cuS5tPj4+6fNgKRQXF4fD4SBv3ry21pFRqlSpwooVK4iPj+fs2bOsXr2at99+m88++4zVq1eTO3duu0uULEo9VCIiIpIlWRZERKTsJzwcXnopaZhKOA5A375mv5QcL7nj3IiPjw9BQUEuP/nz5wdMj4e3tzdr16517j9u3DgCAwM5efIkAI0aNaJ379707t2bvHnzUrBgQQYPHox1VSFRUVEMGDCAYsWKkStXLurWrcvq1audt3/88ccEBwfzv//9j8qVK+Pj48Phw4eTDPlr1KgRffr0oV+/fuTPn5/ChQsza9YsIiIi6NGjB7lz56ZcuXIsWbLE5Tnu2rWL1q1b4+/vT+HChXniiSc4c+aMy3FfeuklXnvtNQoUKEBQUBDDhg1z3l6qVCkAOnbsiMPhcG7/888/tG/fnsKFC+Pv70+dOnVYsWJF6k4AkCNHDoKCgihatCjVqlWjT58+hIaGsmvXLt555x3nfp999hl33XUXuXPnJigoiMcee4xTp04BcPDgQRo3bgxA/vz5cTgcdO/eHYClS5dy3333kS9fPgICArj//vv5559/Ul2nZD0KVCIiIpIlRUaCv3/KfvLmNT1R12NZcPSo2S8lx4uMTLvn0ahRI/r168cTTzxBWFgYW7duZfDgwcyePZvChQs79/vkk0/IkSMHmzZtYtKkSYwfP57Zs2c7b+/duzfr16/nq6++YseOHTz44IO0atWKffv2Ofe5fPky7777LrNnz2b37t0EBgYmW9Mnn3xCwYIF2bRpE3369OGFF17gwQcf5J577uGPP/6gRYsWPPHEE0T+/wtx4cIFmjRpwp133snvv//O0qVLOXnyJA899FCS4+bKlYuNGzcybtw4RowYwfLlywHYvHkzAHPnzuX48ePO7UuXLtGmTRtWrlzJ1q1badWqFe3atePw4cO3/NpXqlSJ1q1bs+CqMZ8xMTGMHDmS7du38/3333Pw4EFnaCpRogTfffcdAHv37uX48eNMmjQJgIiICPr378/vv//OypUr8fDwoGPHjsTHx99ynZLJWbe5sLAwC7DOnDljdynZVnR0tPX9999b0dHRdpeSbekc2E/nwF56/e2XFufg8uXL1p49e6zLly9blmVZly5ZlolCGf9z6VLK6+7WrZvl6elp5cqVy+Vn1KhRzn2ioqKsmjVrWg899JBVuXJl69lnn3U5RkhIiHXHHXdY8fHxzraBAwdad9xxh2VZlnXo0CHL09PTOnbsmMv9mjZtag0aNMiyLMuaM2eOBVh//PFHkvrat2/v8lj33Xefczs2NtbKlSuX9cQTTzjbjh8/bgHW+vXrLcuyrJEjR1otWrRwOe6RI0cswNq7d2+yx7Usy6pTp441cOBA5zZgLVy4MJlX0VWVKlWsyZMnO7eDg4OtCRMmXHf/oUOHWjVq1Ej2toEDB1p+fn7Xve/mzZstwLp48aJlWZa1atUqC7DOnz9/wxpPnz5tAdbOnTudbXFxcdb58+etuLi4G95Xbs21vyuudubMGQuwwsLC0uzxdA2ViIiIZEk5c8KlSynbd80aaNPm5vstXgwNG6bssVOjcePGTJ8+3aWtQIECzn97e3vzxRdfUL16dYKDg5kwYUKSY9SrVw+Hw+Hcrl+/Pu+//z5xcXHs3LmTuLg4KlSo4HKfqKgoAgICXB6nevXqN6336n08PT0JCAigWrVqzraEnrOEoXDbt29n1apV+Pv7JznWP//846zr2scuUqSI8xjXc+nSJYYNG8ZPP/3E8ePHiY2N5fLly2nSQwVgWZbL67plyxaGDRvG9u3bOX/+vLOH6fDhw1SuXPm6x9m3bx9Dhgxh48aNnDlzxuV+VatWTZNaJXNSoBIREZEsyeGAXLlStm+LFlC8uBn2l9z1Tw6Hub1FC/D0TNs6AXLlykW5cuVuuM9vv/0GwLlz5zh37hy5UvrkMKHD09OTLVu24HnNE7g65Pj6+rqEh+vx8vJy2XY4HC5tCcdICA2XLl2iXbt2LtciJShSpMgNj3uzIXEDBgxg+fLlvPfee5QrVw4/Pz+6dOlCdHT0TZ9HSvz555+ULl0aMMP2WrZsScuWLfniiy8oVKgQhw8fpmXLljd9vHbt2hEcHMysWbMoWrQo8fHxVK1aNc3qlMxLgUpERERue56eMGmSmc3P4XANVQn5YuLE9AlTKfHPP//w8ssvM2vWLL7++mu6devGihUr8PBIvNx948aNLvfZsGED5cuXx9PTkzvvvJO4uDhOnTpFgwYNMrp8atWqxXfffUepUqXIkcP9r5deXl7EXbMw2K+//kr37t3p2LEjYMLbwYMHb6Vcp7/++oulS5cyaNAg5/bZs2cZO3YsJUqUAOD33393uY+3tzeAS51nz55l7969zJo1y/n6r1u3Lk1qlMxPk1KIiIhIttCpk5kavVgx1/bixdN3ynQwQ+9OnDjh8pMwA15cXByPP/44LVu2pEePHsydO5cdO3bw/vvvuxzj8OHD9O/fn7179/Lll18yefJk+vbtC0CFChXo2rUrTz75JAsWLODAgQNs2rSJMWPG8NNPP6XfE/t/vXr14ty5czz66KNs3ryZf/75h2XLltGjR48kAelGSpUqxcqVKzlx4gTnz58HoHz58ixYsIBt27axfft2HnvsMbcmeoiNjeXEiRP8999/7Ny5k8mTJxMSEkLNmjV59dVXAShZsiTe3t5MnjyZf//9l//973+MHDnS5TjBwcE4HA4WLVrE6dOnuXTpEvnz5ycgIIAPP/yQ/fv388svv9C/f/9U1yhZkwKViIiIZBudOsHBg7BqFcybZ/574ED6hikwU2oXKVLE5ee+++4DYNSoURw6dIiZM2cCZojchx9+yFtvvcX27dudx3jyySe5fPkyd999N7169aJv37707NnTefvcuXN58skneeWVV6hYsSIdOnRg8+bNlCxZMn2fHFC0aFF+/fVX4uLiaNGiBdWqVaNfv37ky5fPpZftZt5//32WL19OiRIluPPOOwEYP348+fPn55577qFdu3a0bNmSWrVqpbrG3bt3U6RIEUqWLEmjRo345ptvGDRoEGvXrnUOiyxUqBAff/wx8+fPp3LlyowdO5b33nvP5TjFihVj+PDhvP766xQuXJjevXvj4eHBV199xZYtW6hatSovv/wy7777bqprlKzJYVmpXUkhawkPDydv3rycOXPG5aJMyTgxMTEsXryYNm3aJBk7LRlD58B+Ogf20utvv7Q4B1euXOHAgQOULl0aX1/fNK4wc2vUqBE1a9Zk4sSJbh8jPj6e8PBw8uTJk6qQI2lH5yBj3Oh3xdmzZylYsCBhYWHkyZMnTR5PZ1JERERERMRNClQiIiIiIiJu0ix/IiIiIpnc6tWr7S5BRK5DPVQiIiIiIiJuUqASERERERFxkwKViIiIiIiImxSoRERERERE3KRAJSIiIiIi4iYFKhERERERETcpUImIiIjchp544glGjx5tdxmSTWzYsAF/f38CAwP5+++/3TrGnj17KF68OBEREWlcXfpSoBIRERFJR927d8fhcCT52b9/f7o95vbt21m8eDEvvfSSs23BggV06tSJQoUK4XA42LZtW4qONX/+fCpVqoSvry/VqlVj8eLFLrdblsWQIUMoUqQIfn5+NGvWjH379qXl00lizJgx1KlTh9y5cxMYGEiHDh3Yu3fvDe8za9YsGjRoQP78+cmfPz/NmjVj06ZNLvvY8VxSYvXq1dSqVQsfHx/KlSvHxx9/fNP77NixgwYNGuDr60uJEiUYN25ckn1udm5Tavfu3bRp04YePXrQoEEDWrRowbFjx1z2OXfuHH369KFixYr4+flRsmRJXnrpJcLCwpz7VK5cmXr16jF+/Hi36rCLApWIiIhIOmvVqhXHjx93+SldunS6Pd7kyZN58MEH8ff3d7ZFRERQr149xowZk+Lj/Pbbbzz66KM8/fTTbN26lQ4dOtChQwd27drl3GfcuHF88MEHzJgxg40bN5IrVy5atmzJlStXUvw4jRo1SlFISBAaGkqvXr3YsGEDy5cvJyYmhhYtWtywZ2P16tU8+uijrFq1ivXr11OiRIkkX/zT4rnczNixY+nRo0eK9z9w4ABt27alcePGbNu2jX79+vHMM8+wbNmy694nPDycFi1aEBwczJYtW3j33XcZNmwYH374oXOflJzblDh48CAtWrTg+eefZ/LkyXzzzTfOUHXu3Dnnfv/99x///fcf7733Hrt27eLjjz9m6dKlPP300y7H69GjB9OnTyc2NjZVddjKus2FhYVZgHXmzBm7S8m2oqOjre+//96Kjo62u5RsS+fAfjoH9tLrb7+0OAeXL1+29uzZY12+fNn1hkuXrv+Tmn0jI1O2byp169bNat++farv567Y2Fgrb9681qJFi1za4+LirPPnz1v//POPBVhbt2696bEeeughq23bti5tdevWtZ577jnLsiwrPj7eCgoKst59913n7RcuXLB8fHysL7/8MsU1h4SEWHPnzk3x/tc6deqUBVihoaEpvk9sbKyVO3du65NPPrEsK2XP5ZNPPrFy5cpl/f333859XnjhBatixYpWRETETR8zLi7OGjhwoPXkk0+muM7XXnvNqlKlikvbww8/bLVs2fK695k2bZqVP39+Kyoqytk2cOBAq2LFis7tm53bP//80/Lz87O++OIL5+1ff/215evra+3evduyLMs6efKkVb58eWvUqFFJnudzzz1n1atX74avyzfffGN5e3tbMTExzraoqCjLx8fHWrFiRYrruNZ1f1dYlnXmzBkLsMLCwq5bV2qph0pERESyNn//6/907uy6b2Dg9fdt3dp131Klkt8vnR0+fBh/f/8b/tzo2qgdO3YQFhbGXXfddcu1rF+/nmbNmrm0tWzZkvXr1wOm9+TEiRMu++TNm5e6des698kICcPGChQokOL7REZGEhMT47xPSp7Lk08+SZs2bejatSuxsbH89NNPzJ49my+++IKcOXOm4TNKdLNzcL37NGzYEG9vb5f77N27l/Pnz6fouJUqVeK9997jxRdf5PDhwxw9epTnn3+ed955h8qVKwM4r5d64403XI7j4eHBjBkzWL9+/Q1fl7CwMPLkyUOOHDmcbd7e3tSsWZO1a9emuA675bj5LiIiIiJyKxYtWuQy/K5169bMnz8/2X2LFi160+ubbhQcDh06hKenJ4GBgW7VerUTJ05QuHBhl7bChQtz4sQJ5+0JbdfbJ73Fx8fTr18/7r33XqpWrZri+w0cOJCiRYs6Q0VKn8vMmTOpXr06L730EgsWLGDYsGHUrl07DZ5J8q53DsLDw7l8+TJ+fn7J3ufaIaUJxzhx4gT58+e/6bkFePHFF1m8eDGPP/443t7e1KlThz59+qTJ8zpz5gwjR46kZ8+eSW4rWrQohw4dypA60oIClYiIiGRtly5d/zZPT9ftU6euv6/HNQN3Dh50u6RrNW7cmOnTpzu3c+XKdd19c+TIQbly5dx+rMuXL+Pj44PD4XD7GOlt9OjRLr1sly9fZsOGDfTu3dvZtmfPHkqWLHnTY/Xq1Ytdu3axbt26FD/+2LFj+eqrr1i9ejW+vr6pqj1//vzMmTOHli1bcs899/D666/fcP+1a9fS+qrez+joaCzL4rvvvnO2zZw5k65du6aqjozy0UcfUaFCBTw8PNi9e3eavK/Cw8Np27YtlStXZtiwYUlu9/PzIzIyMt3rSCsKVCIiIpK13SCcZNi+Nz1UrhSHpMOHD990KNMbb7yRZJhVgoIFCxIZGUl0dLTLkC93BAUFcfLkSZe2kydPEhQU5Lw9oa1IkSIu+9SsWfO6x33++ed56KGHnNtdu3alc+fOdOrUydlWtGjRm9bXu3dvFi1axJo1ayhevHiKntN7773H2LFjWbFiBdWrV3e2p+a5rFmzBk9PT44fP05ERAS5c+e+7uPdddddzh7H+Ph43n//fU6fPu0y6961PUVXu945yJMnT7K9Uze6z9XP82bnNsH27duJiIjAw8OD48ePu7w27rh48SKtWrUid+7cLFy4EC8vryT7nDt3jrJly6ZrHWlJgUpEREQkE7nVIX8JX/737Nlzw1CTEvXr12flypX069fP2bZ8+XLq168PQOnSpQkKCmLlypXOxwoPD2fjxo288MILN6z/6ufg5+dHYGBgikOnZVn06dOHhQsXsnr16hTPmDhu3DhGjRrFsmXLklxjltLn8ttvv/HOO+/w448/MnDgQHr37s0nn3xy3cf08/NzPq/4+Hjy58/PlStXUvxc69evn2Q686vPwfXu8+abbxITE+MMLMuXL6dixYrkz5/fuc+Nzi2YYNO9e3fefPNNjh8/TteuXfnjjz+uG+RuJjw8nJYtW+Lj48P//ve/6/YO7tq1iy5duqRbHWkuzaa3yKQ0y5/9NLuW/XQO7KdzYC+9/vZL11n+MrmMnuXPsiyrVq1a1uTJk13aTp8+ba1Zs8b68ccfLcD66quvrK1bt1rHjx937vPEE09Yr7/+unP7119/tXLkyGG999571p9//mkNHTrU8vLysnbu3OncZ+zYsVa+fPmsH374wdqxY4fVvn17q3Tp0qk6T6md5e+FF16w8ubNa61evdo6fvy48yfyqpkar30uY8eOtby9va1vv/3W5T4XL15M8XMJDw+3ypQpY/Xv39+yLMvasWOH5ePjY82fPz9Fdbszy9+///5r5cyZ03r11VetP//805o6darl6elpLV261LnP5MmTrSZNmji3L1y4YBUuXNh64oknrF27dllfffWVlTNnTmvmzJnOfVJybh988EGrbt26VkxMjHXp0iWrfPny1osvvpji2q8WFhZm1a1b16pWrZq1f/9+l3MQGxvr3O/AgQOWw+GwDh486HYdGT3Ln62Batq0aVa1atWs3LlzW7lz57bq1atnLV682Hl7SEiIBbj8JEzlmFIKVPbTFxn76RzYT+fAXnr97adA1T5DH3PatGlWvXr1XNrmzJmT5HsVYA0dOtS5T0hIiNWtWzeX+33zzTdWhQoVLG9vb6tKlSrWTz/95HJ7fHy8NXjwYKtw4cKWj4+P1bRpU2vv3r2pqje1gSq55wG4HOPa5xIcHHzT53+z59KjRw+rWrVq1pUrV5xt77//vlWgQAHr6NGjN63bnUBlWZa1atUqq2bNmpa3t7dVpkyZJK/V0KFDreDgYJe27du3W/fdd5/l4+NjFStWzBo7dmyS497o3CY3RfzGjRstLy8vl+/rqXkO1ztvBw4ccO43evRolynh3akjowOVw7IsKwM6wpL1448/4unpSfny5bEsi08++YR3332XrVu3UqVKFRo1akSFChUYMWKE8z45c+YkT548KX6M8PBw8ubNy5kzZwgICEiPpyE3ERMTw+LFi2nTpk2y42Ql/ekc2E/nwF56/e2XFufgypUrHDhwgNKlS6d6IoHs5vLly1SsWJGvv/7aOYQrPj6e8PBw8uTJg8e1E3BIhtA5uLHo6GjKly/PvHnzuPfee90+zo1+V5w9e5aCBQs6p2xPC7ZeQ9WuXTuX7VGjRjF9+nQ2bNhAlSpVABOgrr04TkRERESuz8/Pj08//ZQzZ87YXYpIih0+fJg33njjlsKUHTLNpBRxcXHMnz+fiIgIl4vhvvjiCz7//HOCgoJo164dgwcPvuECYVFRUURFRTm3w8PDAfOXsZiYmPR7AnJdCa+7Xn/76BzYT+fAXnr97ZcW5yAmJgbLsoiPjyc+Pj6tSrttNWzYEMD5WiUMSkp4DSXj6RzcWJkyZShTpswtvzbx8fFYlkVMTAye1yydkB7/H7B1yB/Azp07qV+/PleuXMHf35958+bRpk0bAD788EOCg4MpWrQoO3bsYODAgdx9990sWLDguscbNmwYw4cPT9I+b968dFvBWkRERNJfjhw5CAoKokSJErc8HbiI3L6io6M5cuQIJ06cIDY21uW2yMhIHnvssTQd8md7oIqOjubw4cOEhYXx7bffMnv2bEJDQ5Ndf+GXX36hadOm7N+/P8nc9AmS66EqUaIEx48f1zVUNomJiWH58uU0b95c1y7YROfAfjoH9tLrb7+0OAdXrlzhyJEjlCpVStdQucGyLC5evEju3Lkz1aKo2YnOQca4cuUKBw8epESJEsleQ1WkSJHb5xoqAG9vb+c8/LVr12bz5s1MmjSJmTNnJtm3bt26ADcMVD4+Pvj4+CRp9/Ly0v9EbaZzYD+dA/vpHNhLr7/9buUcxMXF4XA4cDgcuqDfDQnDqPT62UfnIGMk/J5I7vdNevw/INOdyfj4eJcepqslLHKXmVZGFhERkYyR8EUoMjLS5kpEJDNL+B2RUX9As7WHatCgQbRu3ZqSJUty8eJF5s2bx+rVq1m2bBn//POP83qqgIAAduzYwcsvv0zDhg2pXr26nWWLiIiIDTw9PcmXLx+nTp0CzEzAGjaVcvHx8URHR3PlyhX1jthE5yB9WZZFZGQkp06dIl++fEkmpEgvtgaqU6dO8eSTT3L8+HHy5s1L9erVWbZsGc2bN+fIkSOsWLGCiRMnEhERQYkSJejcuTNvvfWWnSWLiIiIjRKWUkkIVZJylmVx+fJl/Pz8FERtonOQMfLly5ehyy7ZGqjmzJlz3dtKlChBaGhoBlYjIiIimZ3D4aBIkSIEBgZqGvxUiomJYc2aNTRs2FDXEtpE5yD9eXl5ZVjPVALbJ6UQERERSS1PT88M/9KU1Xl6ehIbG4uvr6++zNtE5+D2pMGbIiIiIiIiblKgEhERERERcZMClYiIiIiIiJsUqERERERERNykQCUiIiIiIuImBSoRERERERE3KVCJiIiIiIi4SYFKRERERETETQpUIiIiIiIiblKgEhERERERcZMClYiIiIiIiJsUqERERERERNykQCUiIiIiIuImBSoRERERERE3KVCJiIiIiIi4SYFKRERERETETQpUIiIiIiIiblKgEhERERERcZMClYiIiIiIiJsUqERERERERNykQCUiIiIiIuImBSoRERERERE3KVCJiIiIiIi4SYFKRERERETETQpUIiIiIiIiblKgEhERERERcZMClYiIiIiIiJsUqERERERERNykQCUiIiIiIuImBSoRERERERE3KVCJiIiIiIi4SYFKRERERETETQpUIiIiIiIiblKgEhERERERcZMClYiIiIiIiJsUqERERERuc3FxEBrqYM2aYoSGOoiLs7sikduHrYFq+vTpVK9enTx58pAnTx7q16/PkiVLnLdfuXKFXr16ERAQgL+/P507d+bkyZM2ViwiIiKStSxYAKVKQfPmORg//i6aN89BqVKmXURuna2Bqnjx4owdO5YtW7bw+++/06RJE9q3b8/u3bsBePnll/nxxx+ZP38+oaGh/Pfff3Tq1MnOkkVERESyjAULoEsXOHrUtf3YMdOuUCVy63LY+eDt2rVz2R41ahTTp09nw4YNFC9enDlz5jBv3jyaNGkCwNy5c7njjjvYsGED9erVs6NkERERkSwhLg769gXLSnqbZYHDAf36Qfv24OmZ4eWJ3DZsDVRXi4uLY/78+URERFC/fn22bNlCTEwMzZo1c+5TqVIlSpYsyfr1668bqKKiooiKinJuh4eHAxATE0NMTEz6PglJVsLrrtffPjoH9tM5sJdef/vpHGS80FAHR49e/6ueZcGRI7BqVSwhIcmkLklz+hzYLz1ee9sD1c6dO6lfvz5XrlzB39+fhQsXUrlyZbZt24a3tzf58uVz2b9w4cKcOHHiuscbM2YMw4cPT9K+atUqcubMmdblSyosX77c7hKyPZ0D++kc2Euvv/10DjLO6tXFgdo33W/Jkm1ERBxL/4LESZ8D+0RGRqb5MW0PVBUrVmTbtm2EhYXx7bff0q1bN0JDQ90+3qBBg+jfv79zOzw8nBIlStC4cWMCAgLSomRJpZiYGJYvX07z5s3x8vKyu5xsSefAfjoH9tLrbz+dg4wTEwOffebgq69SNo6vdeuahITUSOeqBPQ5yAzOnj2b5se0PVB5e3tTrlw5AGrXrs3mzZuZNGkSDz/8MNHR0Vy4cMGll+rkyZMEBQVd93g+Pj74+Pgkaffy8tIb12Y6B/bTObCfzoG99PrbT+cg/URHwyefwKhRcOiQafPwgPj45Pd3OKB4cWjcOIeuocpg+hzYJz1e90y3DlV8fDxRUVHUrl0bLy8vVq5c6bxt7969HD58mPr169tYoYiIiEjmER0NM2dC+fLQs6cJU4ULw/vvw+efm+DkcLjeJ2F74kRNSCFyq2ztoRo0aBCtW7emZMmSXLx4kXnz5rF69WqWLVtG3rx5efrpp+nfvz8FChQgT5489OnTh/r162uGPxEREcn2oqLgo49gzBgzuQRAUBC89ho89xwkXDru42Nm+7t66vTixU2Y0mo0IrfO1kB16tQpnnzySY4fP07evHmpXr06y5Yto3nz5gBMmDABDw8POnfuTFRUFC1btmTatGl2liwiIiJiq6gomDPHBKmEkFSkCAwcaHqo/Pxc9+/UyUyNvmpVLEuWbKN165oa5ieShmwNVHPmzLnh7b6+vkydOpWpU6dmUEUiIiIimdOVKzB7NowdaxbmBShaFF5/HZ55JmmQupqnJ4SEWEREHCMkpIbClEgasn1SChERERG5vsuXYdYseOcd+O8/01asWGKQ8vW1tz6R7E6BSkRERCQTunwZPvzQBKnjx01b8eIwaBA8/bS5NkpE7KdAJSIiIpKJREaaWfvGjYMTJ0xbiRLwxhvQo4eClEhmo0AlIiIikglERMCMGfDuu3DypGkrWdIEqe7dFaREMisFKhEREREbRUTA9OkmSJ06ZdpKlTJBqls38Pa2tTwRuQkFKhEREREbXLoE06bBe+/B6dOmrVQpeOstePJJ8PKytTwRSSEFKhEREZEMdPEiTJ0K778PZ86YtjJl4M034YknFKREshoFKhEREZEMcPEiTJligtTZs6atbFnTI9W1q4KUSFalQCUiIiKSjsLDYfJkGD8ezp0zbeXKweDB8NhjkEPfxkSyNH2ERURERNJBWBh88AFMmADnz5u2ChVMj9SjjypIidwu9FEWERERSUMXLiQGqQsXTFvFiqZH6pFHwNPTzupEJK0pUImIiIikgQsXYOJE8xMWZtoqVYIhQ+ChhxSkRG5XClQiIiIit+D8eROiJk1KDFKVK5seqQcfVJASud0pUImIiIi44dw5M6zvgw/MxBMAVaqYHqkuXcDDw976RCRjKFCJiIiIpMLZs2bGvsmTzVToAFWrwtCh0KmTgpRIdqNAJSIiIpICZ84kBqlLl0xb9eqmR6pjRwUpkexKgUpERETkBk6fNovxTpkCERGmrWZNE6Tat1eQEsnuFKhEREREknHqFLz3Hkyblhik7rzTDO174AFwOOytT0QyBwUqERERkaucOgXvvmuCVGSkaatVywSpdu0UpETElQKViIiICHDihAlS06fD5cum7a67TJBq21ZBSkSSl2aB6sKFC+TLly+tDiciIiKSIY4fh3HjYMYMuHLFtNWpA8OGQevWClIicmNuXUb5zjvv8PXXXzu3H3roIQICAihWrBjbt29Ps+JERERE0svx49CvH5QpYxbmvXIF6taFxYth40Zo00ZhSkRuzq1ANWPGDEqUKAHA8uXLWb58OUuWLKF169a8+uqraVqgiIiISFo6dgxeeglKl4ZJk0yQqlcPli6F9evVKyUiqePWkL8TJ044A9WiRYt46KGHaNGiBaVKlaJu3bppWqCIiIhIWjh6FMaOhdmzISrKtN1zj7lGqnlzhSgRcY9bPVT58+fnyJEjACxdupRmzZoBYFkWcXFxaVediIiIyC06cgR69YKyZWHqVBOm7rsPli+HdeugRQuFKRFxn1s9VJ06deKxxx6jfPnynD17ltatWwOwdetWypUrl6YFioiIiLjj8GEYMwY++giio01bgwZmsonGjRWiRCRtuBWoJkyYQKlSpThy5Ajjxo3D398fgOPHj/Piiy+maYEiIiIiqXHoUGKQiokxbSEhZmhfo0YKUiKSttwKVF5eXgwYMCBJ+8svv3zLBYmIiIi44+BBGD0aPv44MUg1bmyCVEiInZWJyO3M7XWo9u3bx6pVqzh16hTx8fEutw0ZMuSWCxMRERFJiX//NUHqk08gNta0NWliglTDhvbWJiK3P7cC1axZs3jhhRcoWLAgQUFBOK7qO3c4HApUIiIiku7+/RdGjTJBKmFOrGbNTJC67z57axOR7MOtQPX2228zatQoBg4cmNb1iIiIiNzQ/v0mSH32WWKQatHCBKl77rG3NhHJftwKVOfPn+fBBx9M61pERERErmvfPhOkPv88MUi1bGmCVP369tYmItmXW+tQPfjgg/z8889pXYuIiIhIEn//DU8+CZUqJQ7va90a1q+HpUsVpkTEXm71UJUrV47BgwezYcMGqlWrhpeXl8vtL730UpoUJyIiItnXX3/B22/Dl19CwvxXbdvCkCFw99321iYiksCtQPXhhx/i7+9PaGgooaGhLrc5HA4FKhEREXHbn38mBinLMm3332+CVJ069tYmInIttwLVgQMH0roOERERyeb27IGRI+HrrxOD1AMPmCBVu7a9tYmIXI/b61AlsP7/N55Dy46LiIhIMuLiIDTUwZo1xciVy0HjxuDpmXj7rl0mSM2fnxikOnQwQerOO20pWUQkxdyalALg008/pVq1avj5+eHn50f16tX57LPPUnWMMWPGUKdOHXLnzk1gYCAdOnRg7969Lvs0atQIh8Ph8vP888+7W7aIiIhkoAULoFQpaN48B+PH30Xz5jkoVcq079wJDz0E1arBN9+YMNWxI2zdCgsXKkyJSNbgVg/V+PHjGTx4ML179+bee+8FYN26dTz//POcOXOGl19+OUXHCQ0NpVevXtSpU4fY2FjeeOMNWrRowZ49e8iVK5dzv2effZYRI0Y4t3PmzOlO2SIiIpKBFiyALl0Se50SHDsGnTu7tnXuDIMHQ40aGVefiEhacCtQTZ48menTp/Pkk0862x544AGqVKnCsGHDUhyoli5d6rL98ccfExgYyJYtW2jYsKGzPWfOnAQFBblTqoiIiNggLg769k0apsC1rXNnM7SvevWMq01EJC25FaiOHz/OPcksRX7PPfdw/Phxt4sJCwsDoECBAi7tX3zxBZ9//jlBQUG0a9eOwYMHX7eXKioqiqioKOd2eHg4ADExMcTExLhdm7gv4XXX628fnQP76RzYS69/xgsNdXD06M2/Zjz/fCx33GGhU5P+9Dmwn86B/dLjtXdYVnJ/O7qxqlWr8thjj/HGG2+4tL/99tt8/fXX7Ny5M9WFxMfH88ADD3DhwgXWrVvnbP/www8JDg6maNGi7Nixg4EDB3L33XezYMGCZI8zbNgwhg8fnqR93rx5GiooIiKSQdasKcb48XfddL/+/X+nYcNjGVCRiAhERkby2GOPERYWRp48edLkmG4Fqu+++46HH36YZs2aOa+h+vXXX1m5ciXffPMNHTt2THUhL7zwAkuWLGHdunUUL178uvv98ssvNG3alP3791O2bNkktyfXQ1WiRAmOHz9OQEBAquuSWxcTE8Py5ctp3rx5kkWgJWPoHNhP58Beev0z1pYtDvr182DjxpvPfbV8eSwhIan+KiJu0OfAfjoH9jt79ixFihRJ00Dl1pC/zp07s3HjRiZMmMD3338PwB133MGmTZu4040peXr37s2iRYtYs2bNDcMUQN26dQGuG6h8fHzw8fFJ0u7l5aU3rs10Duync2A/nQN76fVPX5s3w/Dh8NNPN9/X4YDixaFx4xwuU6hL+tPnwH46B/ZJj9fd7XWoateuzeeff35LD25ZFn369GHhwoWsXr2a0qVL3/Q+27ZtA6BIkSK39NgiIiKSNjZuNEFqyRKz7eEBXbtCnTpmYgpwnYgiYenKiRNRmBKRLM+tQOXp6cnx48cJDAx0aT979iyBgYHExcWl6Di9evVi3rx5/PDDD+TOnZsTJ04AkDdvXvz8/Pjnn3+YN28ebdq0ISAggB07dvDyyy/TsGFDqms6IBEREVutX2+C1LJlZtvT0wSpN9+EChVMW7FiJlQdPZp4v+LFTZjq1CnDSxYRSXNuBarrXXYVFRWFt7d3io8zffp0wCzee7W5c+fSvXt3vL29WbFiBRMnTiQiIoISJUrQuXNn3nrrLXfKFhERkTTw228mSP38s9n29IQnnjBBqlw51307dYL27WHVqliWLNlG69Y1NcxPRG4rqQpUH3zwAQAOh4PZs2fj7+/vvC0uLo41a9ZQqVKlFB/vZvNhlChRgtDQ0NSUKCIiIulk3ToTpFasMNuentCtG7zxBiRzWbOTpyeEhFhERBwjJKSGwpSI3FZSFagmTJgAmCA0Y8YMPK/6jejt7U2pUqWYMWNG2lYoIiIitlqzxgSpX34x2zlyJAapMmXsrU1ExG6pClQHDhwAoHHjxixYsID8+fOnS1EiIiJiv9BQE6RWrTLbOXJAjx4mSJUqZWtpIiKZhlvXUM2ZM0dhSkRE5DZkWbB6tQlSCaPuvbzgqadg0CAIDra1PBGRTMetQFWuXDmKFy9OSEgIjRo1IiQkhHLXXoUqIiIiWYZlmZ6oYcNg7VrT5uUFTz9tglTJkraWJyKSad18CfNkHDlyhDFjxuDn58e4ceOoUKECxYsXp2vXrsyePTutaxQREZF0YllmkomGDaFpUxOmvL3hxRfhn39g+nSFKRGRG3ErUBUrVoyuXbvy4YcfsnfvXvbu3UuzZs345ptveO6559K6RhEREUljlgXLl8N990Hz5mYGP29v6NXLBKmpU6FECburFBHJ/Nwa8hcZGcm6detYvXo1q1evZuvWrVSqVInevXsnWVNKREREMg/LMutHDR9uFuYF8PGBnj1h4ECzEK+IiKScW4EqX7585M+fn65du/L666/ToEEDTVIhIiKSiVkWLF1qgtTGjabN1xeeew5eew2KFrW3PhGRrMqtQNWmTRvWrVvHV199xYkTJzhx4gSNGjWiQoUKaV2fiIiI3ALLgiVLTJDatMm0+frC88+bIFWkiL31iYhkdW5dQ/X9999z5swZli5dSv369fn5559p0KCB89oqERERsZdlwaJFcPfd0LatCVN+ftC/Pxw4ABMmKEyJiKQFt3qoElSrVo3Y2Fiio6O5cuUKy5Yt4+uvv+aLL75Iq/pEREQkFSwLfvwRRoyALVtMW86cZta+AQOgcGF76xMRud24FajGjx/P6tWrWbduHRcvXqRGjRo0bNiQnj170qBBg7SuUURERG7CsuB//zND+7ZuNW05c5pZ+wYMgMBAe+sTEblduRWovvzyS0JCQpwBKm/evGldl4iIiKRAfDz88IPpkdq2zbTlygW9e8Mrr0ChQraWJyJy23MrUG3evDmt6xAREZFUiI+HhQtNkNqxw7T5+0OfPuY6qYIF7a1PMqHDh+2uQOS25NakFABr167l8ccfp379+hw7dgyAzz77jHXr1qVZcSIiIuIqPh6+/RZq1oQuXUyYyp0b3ngDDh6E0aMVpuQ6AgLIrVAlkubcClTfffcdLVu2xM/Pj61btxIVFQVAWFgYo0ePTtMCRURExASpb76BGjXgwQdh507IkwfeessEqVGjICDA7iolUwkLg3HjzJsHIFcuInUxnUiacytQvf3228yYMYNZs2bh5eXlbL/33nv5448/0qw4ERGR7C4uDr76CqpVg4cfhl27TJAaMsQEqZEjoUABu6uUTGfRIqhSBQYOhGnTnM1xvr42FiVye3LrGqq9e/fSsGHDJO158+blwoULt1qTiIhIthcXZ3qkRo6EP/80bXnzQr9+0Lcv5M9va3mSWZ0+bd4k8+aZ7XLloHp1W0sSud25FaiCgoLYv38/pUqVcmlft24dZcqUSYu6REREsqWEHqm334a//jJt+fLByy/DSy+Zf4skYVnw9ddmVpIzZ8DDw8xOMny4mT9fRNKNW4Hq2WefpW/fvnz00Uc4HA7+++8/1q9fz4ABAxg8eHBa1ygiInLbi42FL780Qervv01b/vzmO3GfPqZ3SuS6Xn/dXC8FULUqfPQR1Kljb00i2YRbger1118nPj6epk2bEhkZScOGDfHx8WHAgAH06dMnrWsUERG5bcXGmtFZb78N+/aZtgIFEoNUnjz21idZxCOPwJQp5pqp118Hb2+7KxLJNtwKVA6HgzfffJNXX32V/fv3c+nSJSpXroy/v39a1yciInJbio2Fzz83s/Pt32/aAgLMYry9e5up0EWu699/4bff4PHHzfadd8KhQ5ozX8QGbgWqBN7e3lSuXDmtahEREbntxcTAZ5+ZIPXvv6YtIAAGDIBevRSk5Cbi4mDyZHjzTYiONhNOJEw6oTAlYgu3AlVERARjx45l5cqVnDp1iviE9Q3+378J/4cQERERwASpTz81QerAAdNWsCC8+iq8+CJokIfc1J498PTTsGGD2W7USG8ckUzArUD1zDPPEBoayhNPPEGRIkVwOBxpXZeIiMhtIToaPvkERo8260YBBAaaIPXCC5Arl63lSVYQHQ3vvGMutIuONhfWvfsuPPOMmc1PRGzlVqBasmQJP/30E/fee29a1yMiInJbiI6GuXNNkDp82LQFBsJrr8HzzytISQrFx5ueqPXrzfb998P06VC8uK1liUgitwJV/vz5KaBl2UVERJKIikoMUkeOmLagIBOknntOSwJJKnl4wIMPmikgP/jAzOankUEimYpb/cQjR45kyJAhREZGpnU9IiIiWVJUFEybBuXKmaF8R45AkSIwcaKZfOLllxWmJIXWrk3skQKzovOff8KjjypMiWRCbvVQvf/++/zzzz8ULlyYUqVK4eXl5XL7H3/8kSbFiYiIZHZXrsDs2TB2LBw7ZtqKFjXLAT37LPj52VufZCEXL5o1pKZNg/LlYft28wby9NQMfiKZmFuBqkOHDmlchoiISNZy5QrMmmWC1H//mbZixcz34WeeAV9fe+uTLGbpUujZM3GcaEiIWaxMRDI9twLV0KFD07oOERGRLOHyZfjwQzPp2vHjpq14cRg0CJ56SkFKUunsWejf38ypD1C6tEnqTZvaW5eIpNgtLewrIiKSXURGwsyZMG4cnDhh2kqUSAxSPj721idZ0JEjcNddcOqUuTaqb18zNbqmgBTJUhSoREREbiAyEmbMMEHq5EnTVrIkvPEGdO+uICW3oHhxqF0bDh2COXOgXj27KxIRNyhQiYiIJCMiwiz38+67pgMBIDgY3nwTunUDb29765MsyLLgiy+gbVvIn9/0Sn36KeTOrWQukoVpeW0REZGrXLpkeqNKl4ZXXzVhqlQpc1nL33+bmfsUpiTVDh2C1q3hiSdgwIDE9oIFFaZEsjj1UImIiGCC1NSp8N57cOaMaStTxvRIPfEEXLNCiEjKxMebadBff910e/r6QsWKprdKa0qJ3BbcClRxcXF8/PHHrFy5klOnThEfH+9y+y+//JImxYmIiNyquDgIDXWwZk0xcuVy0LixWdYnwcWLMGUKvP++mXANoGxZeOst6NpVQUpuwd698PTT8OuvZrtBA7NoWYUK9tYlImnKrSF/ffv2pW/fvsTFxVG1alVq1Kjh8pNSY8aMoU6dOuTOnZvAwEA6dOjA3r17Xfa5cuUKvXr1IiAgAH9/fzp37szJhKuCRUREbmDBAjNcr3nzHIwffxfNm+egVCnTHh4Oo0aZ2994w4SpcuXg44/hr7/MhBMKU+K2n36CGjVMmPL3N92fq1crTInchtzqofrqq6/45ptvaNOmzS09eGhoKL169aJOnTrExsbyxhtv0KJFC/bs2UOu/58y9OWXX+ann35i/vz55M2bl969e9OpUyd+Tfhrj4iISDIWLIAuXczIqqsdOwadO5uZqSMiTFuFCqZH6tFHIYcGw0taqFcP8uaFWrXMfPslS9pdkYikE7f+t+Ht7U25cuVu+cGXLl3qsv3xxx8TGBjIli1baNiwIWFhYcyZM4d58+bRpEkTAObOncsdd9zBhg0bqKfpRUVEJBlxcWZJn2vDFCS2RUSYIDVkCDzyiOswQJFUu3IFvvnGXHDncEBAAGzebBYr07VSIrc1twLVK6+8wqRJk5gyZQqONPwlERYWBkCBAgUA2LJlCzExMTRr1sy5T6VKlShZsiTr169PNlBFRUURFRXl3A4PDwcgJiaGmJiYNKtVUi7hddfrbx+dA/vpHGSs0FAHR4/e/H9xkyfH0rixRXy8mTtA0s/t/BlwrF+PZ8+eOPbuJdbDA+vhh80NRYpAbKy9xV3ldj4HWYXOgf3S47V3K1CtW7eOVatWsWTJEqpUqYLXNYPMFyxYkOpjxsfH069fP+69916qVq0KwIkTJ/D29iZfvnwu+xYuXJgTCcvUX2PMmDEMHz48SfuqVavImTNnquuStLN8+XK7S8j2dA7sp3OQMdasKQbcddP9li3bxuXLx9K/IHG6nT4Dnpcvc8cXX1Dmp59wWBZX8uVj219/cXLxYrtLu6Hb6RxkVToH9omMjEzzY7oVqPLly0fHjh3TtJBevXqxa9cu1q1bd0vHGTRoEP3793duh4eHU6JECRo3bkxAQMCtliluiImJYfny5TRv3jxJ+JaMoXNgP52DjHPuHHzzTcrmXGrduiYhISmfTEncd7t9BhwrVuDZrx+OgwcBiH/ySTzffZfa+fPbW9gN3G7nICvSObDf2YTpXNOQW4Fq7ty5aVpE7969WbRoEWvWrKF48eLO9qCgIKKjo7lw4YJLL9XJkycJCgpK9lg+Pj74JLNAnpeXl964NtM5sJ/Ogf10DtLP2bMwfjxMnmymQr8RhwOKF4fGjXPo2qkMdlt8BoYMgZEjzb+Dg+HDD/Fo0cK9qZNtcFucgyxO58A+6fG62/rZtyyL3r17s3DhQn755RdKly7tcnvt2rXx8vJi5cqVzra9e/dy+PBh6tevn9HliohIJnTmjJn2vFQpGD3ahKnq1WHAABOcrr3UN2F74kRNRCFuatQIPDygTx/YtQtatLC7IhGxUYp7qGrVqsXKlSvJnz8/d9555w0no/jjjz9SdMxevXoxb948fvjhB3Lnzu28Lipv3rz4+fmRN29enn76afr370+BAgXIkycPffr0oX79+prhT0Qkmzt92izGO2VK4vTnNWrA0KHQvr35vlu/vpnt7+jRxPsVL27CVKdOtpQtWdHJk7B1K7RqZbabNIG//zYrQItItpfiQNW+fXvnULoOHTqkyYNPnz4dgEaNGrm0z507l+7duwMwYcIEPDw86Ny5M1FRUbRs2ZJp06alyeOLiEjWc/o0vPeeWSc1IUjdeacZhfXAAyZIJejUyYSrVatiWbJkG61b19QwP0k5y4LPP4d+/SAqyvRGlSplblOYEpH/l+JANXTo0GT/fSus5BYIuYavry9Tp05l6tSpafKYIiKSNZ06Be++C9OmQcIkTbVqmR6pdu2uv9SPpyeEhFhERBwjJKSGwpSkzJEj8NxzsGSJ2a5ZM/GNJyJyFa0HLyIimdqJEyZITZ8Oly+bttq1YdgwaNtWa6ZKGouPhw8/hNdeMxfkeXub1P7qq6BJBEQkGQpUIiKSKZ04AePGwYwZiUGqTh3z3bZNGwUpSQdxcdCyJSRMhnXPPTBnDlSqZG9dIpKpZZUZPkVEJJs4ftxcslK6NEyYYMJU3bqweDFs3KheKUlHnp5w992QMydMmgRr1ihMichNqYdKREQyhWPH4J13zGirqCjTVq+eGdrXooVClKSTnTtNkKpc2WwPGQI9eyZOPiEichPqoRIREVsdPWqW8ylb1izKGxVlRlotWwa//WZGYClMSZqLijLjR2vVgiefhNhY0+7rqzAlIqmS6h6q+Ph4QkNDWbt2LYcOHSIyMpJChQpx55130qxZM0qUKJEedYqIyG3myBEYOxZmz4boaNN2333mO27TpgpRko42boSnn4bdu812iRJmDv68ee2tS0SypBT3UF2+fJm3336bEiVK0KZNG5YsWcKFCxfw9PRk//79DB06lNKlS9OmTRs2bNiQnjWLiEgWdvgwvPgilCtnpkCPjoYGDcw8AGvWQLNmClOSTiIjoX9/s+Lz7t0QGAjffAMLFihMiYjbUtxDVaFCBerXr8+sWbNo3rw5XslMHXro0CHmzZvHI488wptvvsmzzz6bpsWKiEjWdegQjBkDH30EMTGmLSTE9Eg1aqQQJens0CFo0gT+/ddsP/GEmfUkIMDeukQky0txoPr555+54447brhPcHAwgwYNYsCAARw+fPiWixMRkazv4EEYPRo+/jgxSDVubIJUSIidlUm2Ury46ZGKjoaZM83c+yIiaSDFgepmYepqXl5elC1b1q2CRETk9nDgQGKQSrjev0kTE6QaNrS1NMkuli0zbzY/PzOT31dfQf78kCeP3ZWJyG0kVbP8Pfnkk1y8eNG5vX37dmIS/twoIiKCGVH19NNQoYKZcCI21lwXtXatuU5KYUrS3enT8Nhj0KqVSfAJgoMVpkQkzaUqUH3xxRdcTliuHmjQoAFHjhxJ86JERCTr2b8fevQwQeqjj0yQat4c1q2D5cvNDH4i6cqyTC9U5crw5Zfg4WF6pizL7spE5DaWqmnTrWt+IV27LSIi2c++fTBqFHz+OcTFmbaWLU3HQP369tYm2cixY/DCC/Djj2a7WjWYMwfq1LG3LhG57aV6HSoRERGAv/+Gt9+GL76A+HjT1ro1DBkC9erZW5tkM8uWwUMPQXg4eHnBW2/B66+Dt7fdlYlINpDqQLVnzx5OnDgBmB6qv/76i0uXLrnsU7169bSpTkREMp2//jJB6ssvE4NUmzamR+ruu+2tTbKpypXNsL677zbjTatUsbsiEclGUh2omjZt6jLU7/777wfA4XBgWRYOh4O4hDEfIiJy2/jzz8QglfC/gfvvNz1SGlUlGSouzsxw0qKF2S5RwlysV6WKuWZKRCQDpSpQHThwIL3qEBGRTGrPHhg5Er7+OjFIPfCACVK1a9tbm2RDe/aYaSQ3bDBD/RJClUbHiIhNUhWogoOD06sOERHJZHbtMkFq/vzEINW+vQlStWrZW5tkQzExMHas6SaNjobcueHcOburEhFJ+bTphw8fTtWBjx07lupiRETEfjt3muv7q1WDb74xYapjR9i6Fb7/XmFKbLBlC9x1l0nz0dHQtq3pqXrkEbsrExFJeaCqU6cOzz33HJs3b77uPmFhYcyaNYuqVavy3XffpUmBIiKSMXbsgC5dzMip+fNNW+fOsG0bLFgANWvaWZ1kW++8Yyab2LEDAgLMtJI//gjFi9tdmYgIkIohf3v27GHUqFE0b94cX19fateuTdGiRfH19eX8+fPs2bOH3bt3U6tWLcaNG0ebNm3Ss24REUkj27bBiBGwcGFiW5cuMHiwLkuRTKBsWTOd5COPwAcfQKFCdlckIuIixT1UAQEBjB8/nuPHjzNlyhTKly/PmTNn2LdvHwBdu3Zly5YtrF+/XmFKRCQL2LrVDOW7804TphwOM9Rv507TQ6UwJba4eBE2bkzc7tLFTEDx5ZcKUyKSKaV62nQ/Pz+6dOlCly5d0qMeERFJZ1u2mB6p//3PbDsc8PDDZi1ULd8jtlqyBJ57DiIjzTz9CQGqbl176xIRuYEU91CJiEjW9vvv0K6dubb/f/8zQerRR81sfl9+qTAlNjp7Fp580qwQfeQI5M0L//1nd1UiIimiQCUicpvbvNkswFunDixaBB4e0LWrmSRt3jyoXNnuCiVb+/Zb8yb87DOT8l9+2UxAUaOG3ZWJiKRIqof8iYhI1rBxIwwfbkZRQWKQevNNqFjR3tpEiIszY00TZgWuXBnmzIF69eytS0QkldRDJSJym1m/Hlq1Mt9LlywBT08zmurPP+HTTxWmJJPw9DTToOfIYaaU/OMPhSkRyZLUQyUicpv47TfTI/Xzz2bb0xOeeML0SJUrZ29tIgB+J0/C4cNmKnSAceOgVy9NKSkiWZrbPVSfffYZ9957L0WLFuXQoUMATJw4kR9++CHNihMRkZtbtw6aN4d77zVhytMTnnoK9u6FuXMVpiQTuHIFj/HjadK3L57PPQeWZdrz5lWYEpEsz61ANX36dPr370+bNm24cOECcXFxAOTLl4+JEyemZX0iInIda9ZA06bQoAGsWGFGTj39NPz9t7kUJaETQMQ2cXHOcaaer79OjitXICoKwsLsrkxEJM24FagmT57MrFmzePPNN/H09HS233XXXezcuTPNihMRkaRCQ6FJEwgJgV9+MUHq2Wdh3z6YPRvKlLG7Qsn2LMtcwHfnndCtGxw+jFW8OFv79CFuxQrIl8/uCkVE0oxbgerAgQPceeedSdp9fHyIiIi45aJERMSVZcGqVdCokflZtQq8vMwaqPv3w4cfQqlSNhcpkmDBArOm1M6dJjy98w6xu3dzuGlTM92kiMhtxK1JKUqXLs22bdsIDg52aV+6dCl33HFHmhQmIiKJQWrYMFi71rR5eZmhfYMGQcmStpYnkig6Gry9zb8feACqVjXTTQ4aBAUKQEyMvfWJiKQTtwJV//796dWrF1euXMGyLDZt2sSXX37JmDFjmD17dlrXKCKS7VgWrFxpZu1bt860eXvDM8/A669DiRL21ifidOoUjBhhxp9u22beqF5esHWrGY8qInKbc+s33TPPPIOfnx9vvfUWkZGRPPbYYxQtWpRJkybxyCOPpHWNIiLZhmWZCSaGDTPToIP5fvrssyZIFS9ua3kiiS5dgvffh/feM/8GWLwYOnQw/1aYEpFswu3fdl27dqVr165ERkZy6dIlAgMD07IuEZFsxbLMlOfDh5uFeQF8fKBnTxg4EIoVs7c+EaeYGJg1y7xZT50ybXfdZdaUatzY3tpERGzgVqA6cOAAsbGxlC9fnpw5c5IzZ04A9u3bh5eXF6V0ZbSIiFNcHISGOlizphi5cjlo3NisFQUmSC1dar6bbtxo2nx9zWQTr70GRYvaV7dIEmfPQr16ZiYUMHPzjx4NDz4IDoe9tYmI2MStqXa6d+/ObwljUa6yceNGunfvnuLjrFmzhnbt2lG0aFEcDgfff/99ksdxOBwuP61atXKnZBERWyxYYGbfa948B+PH30Xz5jkoVQq++86MjqpXz0yGtnGjCVL9+sG//8LEiQpTkgkFBEDp0hAYCFOmwJ498NBDClMikq251UO1detW7r333iTt9erVo3fv3ik+TkREBDVq1OCpp56iU6dOye7TqlUr5s6d69z28fFJfcEiIjZYsAC6dDG9UFc7etS0J/DzgxdegFdfhaCgjK1R5IZ27TITTkydCoUKmbY5c8xU6Llz21qaiEhm4VagcjgcXLx4MUl7WFgYcXFxKT5O69atad269Q338fHxIUjfMEQki4mLg759k4apqzkc8PLLZmhf4cIZV5vITR05AkOGwCefmDdxkSIwaZK5TVNMioi4cCtQNWzYkDFjxvDll1/i+f8XAsTFxTFmzBjuu+++NC1w9erVBAYGkj9/fpo0acLbb79NQEDAdfePiooiKirKuR0eHg5ATEwMMVoDwxYJr7tef/voHGS80FAHR4/e+FesZUHr1rEUKGBpiZ50ps9ACp0/j8c77+AxdSqO//9/aXynTsT17HnL60jpHNhP58B+Ogf2S4/X3mFZN/r7afJ2795NSEgI+fLlo0GDBgCsXbuW8PBwfvnlF6pWrZr6QhwOFi5cSIeE6VaBr776ipw5c1K6dGn++ecf3njjDfz9/Vm/fr0zyF1r2LBhDB8+PEn7vHnznJNniIikt9DQYkyYcNdN9+vf/3caNjyWARWJ3FiZH3+k4ldf4R0RAcCZKlXY060b5ytUsLkyEZG0k7DkU1hYGHny5EmTY7oVqAD+++8/pkyZwvbt2/Hz86N69er07t2bAgUKuFdIMoHqWv/++y9ly5ZlxYoVNG3aNNl9kuuhKlGiBMePH79hz5akn5iYGJYvX07z5s3x8vKyu5xsSecg48THw/ffOxg0yJMDB25+of7y5bGEhLj1a1hSQZ+Bm/Po1w/PadOwqlQhbvRorFat0nSyCZ0D++kc2E/nwH5nz56lSJEiaRqoUj3kLyYmhlatWjFjxgxGjx6dJkWkVJkyZShYsCD79++/bqDy8fFJduIKLy8vvXFtpnNgP52D9BMfbyahGDECdu40bQ7H9a+hcjjMIr2NG+fgOh3ukg70Gfh/lgVLlkDJkpAwqmToUKhTB8cTT5AjHd+UOgf20zmwn86BfdLjdU/1tOleXl7s2LEjzQtJiaNHjzpTpYhIZhAfD998AzVqmKV4du6EPHngrbdg7lwTnK79I3/C9sSJKExJxtu0CZo0gbZtYcCAxPbAQOjeXW9KEZFUcmsdqscff5w5c+bc8oNfunSJbdu2sW3bNsAsGLxt2zYOHz7MpUuXePXVV9mwYQMHDx5k5cqVtG/fnnLlytGyZctbfmwRkVsRFwdffQXVqsHDD5vZpfPkMROjHTwII0dCt27w7bdQrJjrfYsXN+3XWS1CJH3s22fWjKpbF1avBh8fqF4dYmPtrkxEJEtza5a/2NhYPvroI1asWEHt2rXJlSuXy+3jx49P0XF+//13Gjdu7Nzu378/AN26dWP69Ons2LGDTz75hAsXLlC0aFFatGjByJEjtRaViNgmLs70SI0cCX/+adry5jUL8vbtC/nzu+7fqRO0bw+rVsWyZMk2WreuqWF+krFOnjRjUT/80IQnh8Ok/eHDzZA/ERG5JW4Fql27dlGrVi0A/v77b5fbHKm4gLVRo0bcaE6MZcuWuVOeiEiaS+iRevtt+Osv05Yvn1lH6qWXzL+vx9MTQkIsIiKOERJSQ2FKMtb8+TBtmvl3mzYwdqzpWhURkTThVqBatWpVWtchIpIpxcbCl1+aIJXw96P8+aF/f+jTx/ROiWQqMTFw6BCUK2e2e/aEtWvhhRegUSNbSxMRuR25FaiudvToUQCKFy9+y8WIiGQWsbEwb54JUvv2mbYCBRKDVBrNtCqSdizLXJz3xhtmWN/u3eDlBd7e8PXXdlcnInLbcmtSivj4eEaMGEHevHkJDg4mODiYfPnyMXLkSOLj49O6RhGRDBMbCx9/DHfcYS4z2bcPAgJg9Ggz2cSbbypMSSa0erWZbOKhh2D/fggLg7177a5KRCRbcKuH6s0332TOnDmMHTuWe++9F4B169YxbNgwrly5wqhRo9K0SBGR9BYTA599BqNGwb//mraAADOrdK9ekDu3vfWJJGvHDnj9dbOmFECuXOZN+8oretOKiGQQtwLVJ598wuzZs3nggQecbdWrV6dYsWK8+OKLClQikmXExMCnn5ogdeCAaStYEF59FV58Efz97a1P5Lp27YKaNc1Qvxw54LnnYPBgKFzY7spERLIVtwLVuXPnqFSpUpL2SpUqce7cuVsuSkQkvUVHwyefJA7lA7Ou6auvmmv3r1kNQiRziI014QmgShVo2tRc3Pf221C+vL21iYhkU25dQ1WjRg2mTJmSpH3KlCnUqFHjlosSEUkv0dEwc6b57tmzpwlTgYHw3ntmqN+AAQpTkgldvgzjxkHZsnD6tGlzOGDRIjPhhMKUiIht3OqhGjduHG3btmXFihXUr18fgPXr13PkyBEWL16cpgWKiKSFqCiYO9f0SB05YtqCguC118xIqZw57a1PJFlxcWZM6pAh8P+z6jJrlpnJD0AL3YuI2M6tHqqQkBD+/vtvOnbsyIULF7hw4QKdOnVi7969NGjQIK1rFBFxW1SUWdO0XDkzlO/IEShSBCZOND1SL7+sMCWZkGXBTz+Za6SeesqEqRIlzDjVgQPtrk5ERK6Sqh6qf//9l9KlS+NwOChatKgmnxCRTOvKFZg9G8aOhWPHTFvRoua76LPPgp+fvfWJXFdcHLRqBStWmO38+U2PVO/e4Otrb20iIpJEqnqoypcvz+mEsdvAww8/zMmTJ9O8KBERd125ApMnm0tN+vQxYapYMdP2zz/w0ksKU5LJeXpCxYpmON9rr5k37oABClMiIplUqgKVZVku24sXLyYiIiJNCxIRccflyzBpEpQpY0LTf/9B8eIwdapZ51R/3JdM68QJMx51+/bEtmHDzKrS77xjeqhERCTTcmtSChGRzCIy0szaN26c+V4K5lKTQYPMpSe6Zl8yrYsX4d134f33zRv54MHEBXoLFrS1NBERSblUBSqHw4HD4UjSJiKS0SIjYcYME6QSRh6XLGkuNeneXUFKMrHoaPjwQxgxInEK9Lp1zV8BREQky0lVoLIsi+7du+Pz/99Urly5wvPPP0+uaxZtWbBgQdpVKCJylYgImD7d/GH/1CnTFhwMb74J3bqBt7e99Ync0P/+B/37m+uiwKwfNWYMdOpk1pUSEZEsJ1WBqlu3bi7bjz/+eJoWIyJyPZcumenP33sv8Y/6pUqZIPXkkwpSkkUcPGjCVOHCMHQoPPMMeHnZXZWIiNyCVAWquXPnplcdIiLJunTJTCzx3ntw5oxpK1PGBKknntB3UcnkduyAsDBIWKPx+echNhZ69gR/f3trExGRNKFJKUQkU7p4EaZMMdfrnz1r2sqWhbfegq5dFaQkkzt0CAYPhs8/N6tK795t3rTe3mbIn4iI3DYUqEQkUwkPN2tGjR8P586ZtnLlEoNUDv3Wkszs3DkYPdq8iaOjTVutWuYvBAUK2FubiIikC301EZFMISwsMUidP2/aKlQwQerRRxWkJJO7fBk++MBMMBEWZtoaNzbrSNWpY29tIiKSrvQVRURsdeGC+R46YYL5N0DFima01COPgKenndWJpNC6dfD66+bf1aubINWypWbuExHJBhSoRMQWFy7AxInmJ+EP+pUqmSD18MMKUpLJWRYcOGBmSAFo1szM29+kiRmbqjewiEi2oUAlIhnq/HkToiZNSgxSlSubIPXgg/oeKlnAhg3w2muwfbuZAr1gQdMT9fHHdlcmIiI28LC7ABHJHs6dM6GpVCkYMcKEqSpV4OuvYedODe+TLGDvXujcGerXh7VrzaQTGzbYXZWIiNhMPVQikq7OnjUTTUyebCY6A6haFYYMMd9NPfRnHcnsjh83fwWYNQvi4sybtnt3GD4cihe3uzoREbGZApWIpIszZxKD1KVLpq16dROkOnZUkJIsIjwc7rgjcXxqu3ZmWvSqVe2tS0REMg0FKhFJU6dPm8V4p0yBiAjTVqMGDB0K7dsrSEkWEB+f+EbNkwceewz++APGjYOGDe2tTUREMh19tRGRNHH6NAwcCKVLmxmjIyLgzjth4ULzXVS9UpLpxcfDV1+Z6SZ37kxsf/99WL9eYUpERJKlrzcicktOnYJXXzWTTYwbZ4JUrVrwww+wZQt06KAgJVnAypVw991mFel9+8ybOYGfn9aTEhGR69KQPxFxy4kT8O67MH06XL5s2mrXhmHDoG1bff+ULGL7dtO1umyZ2fb3N1Oi9+9vb10iIpJlKFCJSKqcOGH+eD9jRmKQqlPHXCPVpo2ClGQh/frBBx+YRXq9vOD55+GttyAw0O7KREQkC1GgEpEUOX7cXBs1cyZcuWLa6tY1QapVKwUpyYJKlTJh6uGHYdQoKFvW7opERCQLUqASkRs6dswEqQ8/hKgo01avnhna16KFgpRkERERlP/uOxyWZS7sA3jhBWjQwIxVFRERcZMClYgk6+hRE6RmzUoMUvfcY3qkmjdXkJIs4uBBmDqVHLNnU/nCBawNG+D++yFHDvDxUZgSEZFbpkAlIi6OHIGxY2H2bIiONm333WeCVNOmClKSBVgWhIaa66N++AHi43EAl4KC8B00iByadlJERNKQApWIAHD4sAlSc+YkBqkGDczQvsaNFaQkC+nTB6ZOTdxu3pzYF19kpWXR5v77NY+/iIikKf1fReQ2FxcHoaEO1qwpRmiog7g419sPHTKTm5UrZ6ZAj46GkBD45RfzR/4mTRSmJJM7dgzOnEncvv9+s3bUc8/B7t3w889YbdsqSImISLrQ/11EbmMLFpiJzJo3z8H48XfRvHkOSpUy7QcPQs+eUL68mbkvJsb0RK1ebX7UKyWZmmXB+vXwyCPmTT5hQuJtLVqYkDVjBlSubFuJIiKSPdgaqNasWUO7du0oWrQoDoeD77//3uV2y7IYMmQIRYoUwc/Pj2bNmrFv3z57ihXJYhYsgC5dzOQSVzt2DDp3NjNEz5plglSTJqY36pdfTO+USKYVHQ2ff27m7L/nHvj6a4iNhb/+StzHwwPy57evRhERyVZsDVQRERHUqFGDqVePdb/KuHHj+OCDD5gxYwYbN24kV65ctGzZkisJi+CISLLi4qBvX/NH/GsltMXHm0km1q6FlSuhYcOMrVEk1d5/H4KD4YknYPNmM0tfjx7wxx/w3Xd2VyciItmUrZNStG7dmtatWyd7m2VZTJw4kbfeeov27dsD8Omnn1K4cGG+//57HnnkkWTvFxUVRVTCHM9AeHg4ADExMcTExKTxM5CUSHjd9fpnnNBQB0eP3vzj/frrsdSta6FTk/70Obh1Hvv343niBFbRosQ/9xzxzzwDhQqZG2/yuur1t5/Ogf10Duync2C/9HjtHZaV3N+wM57D4WDhwoV0+P8FF//991/Kli3L1q1bqVmzpnO/kJAQatasyaRJk5I9zrBhwxg+fHiS9nnz5pEzZ870KF0k01mzphjjx9910/369/+dhg2PZUBFIinniIujyIYNlFm0iN3dunG+UiUAch0/Tr79+/mvfn2sHJqkVkREUi8yMpLHHnuMsLAw8uTJkybHzLT/Rzpx4gQAhQsXdmkvXLiw87bkDBo0iP79+zu3w8PDKVGiBI0bNyYgICB9ipUbiomJYfny5TRv3hwvLy+7y7nt/f03TJnimaJ9W7euSUhIjXSuSECfgxQ5exaPOXPwmDEDx/9f/Hff1q3EXfU7HcCdd6xef/vpHNhP58B+Ogf2O3v2bJofM9MGKnf5+Pjg4+OTpN3Ly0tvXJvpHKSvv/6Ct9+GL78010fdiMMBxYtD48Y58ExZ9pI0os9BMnbuNIvwfv45JFwjW6gQPP88Hs8/j0cavl56/e2nc2A/nQP76RzYJz1e90wbqIKCggA4efIkRYoUcbafPHnSZQigSHb355+JQSphAO/995tFeV9/3WxfPbA3YSr0iRNRmBL7xcdD+/Zw4IDZvvNOM6PKww+Dr6+9tYmIiKRApl2HqnTp0gQFBbFy5UpnW3h4OBs3bqR+/fo2ViaSOezZA48+ClWqwLx5JjQ98AD8/jv8+CO89hp8+y0UK+Z6v+LFTXunTvbULdlcWBhMmWKmPwczxXnfvmYu/zVrYMsW6NZNYUpERLIMW3uoLl26xP79+53bBw4cYNu2bRQoUICSJUvSr18/3n77bcqXL0/p0qUZPHgwRYsWdU5cIZId7doFI0fC/PmJPU/t28OQIVCrluu+nTqZ21atimXJkm20bl1Tw/zEHnv3wuTJ8PHHEBEBBQrAY4+Z2/r2NT8iIiJZkK2B6vfff6dx48bO7YTJJLp168bHH3/Ma6+9RkREBD179uTChQvcd999LF26FF/95VKyoZ07E4NUgo4dTZC60ShYT08ICbGIiDhGSEgNhSnJOPHx8PPPMGkSLF2a2F6lCvj721eXiIhIGrI1UDVq1IgbzdrucDgYMWIEI0aMyMCqRDKXHTtgxAjXdUs7d4bBg6GGJuiTzCosDOrWNT1TYC7ea9fO9EQ1bpx4MZ+IiEgWl2knpRDJ7rZtM0Fq4cLEti5dTJCqXt22skSu79w5M5QPIG9eCAqC48fhqaegd28oW9be+kRERNKBApVIJrN1qwlS339vth0OePBBE6SqVrW1NJGkLAtWrTLTnv/8Mxw8CIGB5rY5c8y/c+e2tUQREZH0lGln+RPJbrZsMRNI1KplwpTDAY88Yq6d+vprhSnJZCIjYfZsM+60aVP44Qe4fBmWLUvcp2xZhSkREbntqYdKxGa//w7Dh8OiRWY7IUi99RZUrmxvbSJJnD0L770HH35ohvgB5Mxppjrv0wfuuMPe+kRERDKYApWITTZvNkHqp5/MtoeHWVfqrbegUiV7axO5rvh4mDABoqKgVClzbdTTT0O+fHZXJiIiYgsFKpEMtnGjCVJLlphtDw/o2hXefBMqVrS3NhEXUVFmvOmGDTBtmmkrVAhGjTLD+dq1Q/Pwi4hIdqdAJZJB1q83QSrhEhNPz8QgVaGCvbWJuDhxAmbMMD8nT5q2nj0TFzx75RXbShMREclsFKhE0tlvv5kg9fPPZtvTE554wgSpcuXsrU3Exe+/m0V4v/4aYmJMW7Fi0KsXlCxpb20iIiKZlAKVSDpZt84EqRUrzLanp7lu/403tByPZEJLlkCbNonb99xjFuHt2BG8vOyrS0REJJNToBJJY2vWmCD1yy9mO0eOxCBVpoy9tYk4nTkD+/dDvXpmu2lTM8lEgwbw0ktw1122liciIpJVKFCJpJHQUBOkVq0y2zlyQI8eJkiVKmVraSKJduwww/q++AKCgkyoypEDvL1h717zXxEREUkxBSqRW2BZsHq1CVKhoabNywueegoGDYLgYFvLEzHi4uB//zNBKuGNClCwoJmAonhxs60wJSIikmoKVCJusCzTEzVsGKxda9q8vMxyPIMG6fp9yUQWLzaTShw8aLY9PaFzZ3N9VP36ZiVpERERcZsClUgqWBasXGl6pNatM23e3vDMM/D661CihL31iQCmRyphfagCBUyYCggwU5+/+GJij5SIiIjcMgUqkRSwLDNb37BhZhp0MEHq2WdNkNL3U7FdfLyZqe+DD8x8/FOnmvZ69eDbb80Mfn5+9tYoIiJyG1KgErkByzLrRw0fbhbmBfDxMX/oHzjQLNEjYquLF+Hjj2HyZNi3z7StXw/vvgs5c5rtzp1tK09EROR2p0AlkgzLgqVLTZDauNG0+frCc8/Ba69B0aL21ifCP/+YEPXRRyZUAeTNay7k6907MUyJiIhIulKgErmKZZlRU8OHw6ZNps3XF55/3gSpIkXsrU/Eae5cM2sfQMWKZu2oJ58Ef3976xIREclmFKhEMEHqp59MkPr9d9Pm5wcvvACvvmqW6xGxTWQkfPYZVK5sFt4F8+bctg369IHmzcHDw9YSRUREsisFKsnWLAt+/BFGjIAtW0xbzpxmIrQBA6BwYXvrk2zu0CGYNg1mzYLz56FlSzMWFcwFfIsW2VufiIiIKFBJ9mRZZp3T4cNh61bTljOnWa5nwAAIDLS3PsnGLMvMyT9pEixcaGbvAyhTBlq3Nrdr7SgREZFMQ4FKspX4ePjhB9MjtW2bacuVy1zD/8orUKiQreWJwBNPwBdfJG43bWoW4W3TJnFtKREREck0FKgkW4iPN3/sHzECduwwbf7+5vKT/v2hYEF765Ns7L//zOx8uXKZ7SZNYMECE6z69IGqVe2tT0RERG5IVzHLbS0+3qxpWrMmdOliwlTu3PDGG3DwIIwerTAlNtm4ER57DIKDzTpSCR57DI4cgZkzFaZERESyAPVQyW0pIUiNHAm7dpm2PHnMzNIvvwwFCthbn2RPjpgYHF9+CVOnJs7LD7B5c+K/fX3Nj4iIiGQJClRyW4mLg/nzTZDas8e05ckD/fqZn/z57axOsjOPCRNoMXYsOc6fNw3e3vDooybl16plb3EiIiLiNgUquS3ExcE335gg9eefpi1vXhOi+vZVkBIb7N8P5co5Nx2bNuF7/jxWUBCOF1+Enj01L7+IiMhtQIFKsrS4OPjqK3j7bfjrL9OWL58Z1vfSS+bfIhnCsmD7dvjuO/Pz55+mm/SOOwCIf+45tpYsSfWRI/FKmIBCREREsjwFKsmSYmPhyy9NkPr7b9OWP7+Zsa9PH9M7JZLu4uPNtVDffWdm5vv338TbvLzMImf/H6isRo04GhlJdW9vm4oVERGR9KBAJVlKbCzMm2eC1L59pq1AgcQglSePvfVJNrNsmVkfKoGvr1l8t1MnuP9+dZGKiIhkAwpUkiXExsLnn8OoUebSFICAALMYb+/eZip0kXQTHQ2//GJ6oipUgFdfNe2NG0OxYtCwoQlRrVsnriclIiIi2YIClWRqMTHw2WcmSCWMpgoIgAEDoFcvBSlJR5cvmx6o776DH3+EsDDTXqGCeQM6HKZH6vBh8NCSfiIiItmVApVkSjEx8OmnJkgdOGDaChY0HQMvvgj+/vbWJ7e5F14wb8DIyMS2oCDo2BE6d3bdV2FKREQkW1OgkkwlOho++QRGj4aDB01bYKAJUi+8oNFUkg7OnoWlS82aUAnhKCbGhKmSJU2A6tQJ6tcHT097axUREZFMR4FKMoXoaJg71wSpw4dNW2AgvPYaPP+8gpSksRMnYOFCMzPfqlVm/v3y5eHuu83tr7xi3ni1a5uhfSIiIiLXoUAltoqKSgxSR46YtqAgE6Seew5y5rS3PrmNnDxp5tr/7jv49VezblSC6tUhPDxx+/+nOhcRERG5GQUqSVdxcRAa6mDNmmLkyuWgcWMzaioqCubMgTFj4OhRs2+RIjBwIPTsCX5+9tYtt4mYGLMeFJiVn19+OfG2u+9OHM5Xrpw99YmIiEiWl6kD1bBhwxg+fLhLW8WKFfnrr79sqkhSY8EC6NsXjh7NAdzF+PFmhulWrcwlK8eOmf2KFjVB6tlnFaTkFlkW7Nxp3nzffQchITBlirntvvvggQegaVMzuUSJEvbWKiIiIreFTB2oAKpUqcKKFSuc2zlyZPqSBfN9tksX11FVYELUnDnm38WKweuvwzPPmNmnRdxiWbB5swlQCxYkLlQGcPEiTJ5sroPy9IQffrCvThEREbktZfp0kiNHDoKCguwuQ1IhLs70TF0bpq6WPz/s3avJJiQNNGwI69Ylbvv4QMuWZjjf/fdrUgkRERFJV5k+UO3bt4+iRYvi6+tL/fr1GTNmDCVLlrzu/lFRUURFRTm3w///QvOYmBhiYmLSvV4x10yZYX7Xd/48rF8fS0jIDVKXpJmE936W/gzExOAIDcWxeDHx77zjvDbKo3ZtPLZuxWrdmviOHbFatXJd8TmTPOfb4hxkYXr97adzYD+dA/vpHNgvPV57h2XdqB/BXkuWLOHSpUtUrFiR48ePM3z4cI4dO8auXbvIffUXpqskd90VwLx588ipKePSXVSUJ9Om1SA09ObXp/Tv/zsNGx7LgKokq/KIjiZw2zaKrF9P0ObNeF+6BMBvw4dzukYNALzCw4nz8SHex8fOUkVERCQLiIyM5LHHHiMsLIw8efKkyTEzdaC61oULFwgODmb8+PE8/fTTye6TXA9ViRIlOH78OAEBARlVarYTEQEzZ3owfrwHp06lbIjV8uXqocooMTExLF++nObNm+OVMOtdZrZzJ55jx+JYsgTH/4coACswkPgHHiD+xRehalUbC0y9LHcObjN6/e2nc2A/nQP76RzY7+zZsxQpUiRNA1WmH/J3tXz58lGhQgX2X33R+TV8fHzwSeYv1V5eXnrjpoNLl2DaNHjvPTh92rQFB5slfS5cSP46KocDiheHxo1z4OmZoeVme5n2c3D+vHkzJcy853DA/Pnm3yVKmKnNO3XCce+9eHp6kpXfNpn2HGQTev3tp3NgP50D++kc2Cc9XnePND9iOrp06RL//PMPRYoUsbuUbO/SJXjnHShd2kx5fvo0lCljZvDbtw9mzzb7XTsfQML2xIkoTGV3p07Bhx+aefQDA+HNNxNvq1kT3n4bNm6EQ4fMG6ZhQ71pREREJNPJ1D1UAwYMoF27dgQHB/Pff/8xdOhQPD09efTRR+0uLdu6eNEs6/P++3D2rGkrWxbeegu6dk1cQ7VTJ/j224R1qBLvX7y4+W7cqVOGly6ZwdGjsHChmeJ87VqIj0+87cAB06XpcJifqwOWiIiISCaVqQPV0aNHefTRRzl79iyFChXivvvuY8OGDRQqVMju0rKd8HCznM/48XDunGkrVy4xSCW3PFinTtC+PaxaFcuSJdto3bqmhvlld23amIV3E9SubaY379QJKla0ry4RERERN2XqQPXVV1/ZXUK2FxaWGKTOnzdtFSqYIPXoo8kHqat5ekJIiEVExDFCQmooTGUHlgV79pheqMWL4ZdfIGGGzc6dIW9e5zVRBAfbW6uIiIjILcrUgUrsExYGkybBhAlmcgkwHQiDB8Mjj+hSFrmGZcEff5gQtWCBWbU5wdKliWM8hwyBoUPtqVFEREQkHShQiYsLF8w1ThMnmlAFUKmS+R780EMKUpKMVaugRw8zeUQCb29o0cIEqUaNEtuvnaVEREREJItToBLADOebONH0SiUEqcqVTY/Ugw8qSMn/i42F0FDIlQvq1TNtJUuaMJUzJ7RubYb1tW0LabS2g4iIiEhmpkCVzZ07Z4b1ffCBmXgCoEoV0yPVpQt4ZKmJ9SVdREXBihVmON8PP5g3Tfv28P335vayZWHZMrjvvsRrpURERESyCQWqbOrs2cQgdfGiaata1Vze0qmTgpRgpjf/9ltYtCgxbQMULGh6pa7WokXG1iYiIiKSSShQZTNnzpgZ+yZPNovzAlSvbnqkOnZUkMrWLl8GP7/E7ffeg99+M/8uWjRxZr4GDW4+vaOIiIhINqFvRdnE6dNmMd4pUyAiwrTVrGmCVPv2ClLZ1pkzZhjfd9+Za6OOHIECBcxtzz0H99xjQlTdunqTiIiIiCRDgeo2d/q06WiYOjUxSN15pxna98ADmnQtWzp2zFz/lBCi4uMTb1u50sxCAvDkk7aUJyIiIpKVKFDdpk6dgnffhWnTIDLStNWqZYJUu3YKUtmVY8ECs5DY1e6808zM16kT3HGHPYWJiIiIZFEKVLeZEydMkJo+3VwSA3DXXSZItW2rIJUthIfD5s2waRNs3AhNmsALLwBg3XOPmQP/7rtNiOrYEcqUsblgERERkaxLgeo2ceIEjBsHM2YkBqk6dWDYMLM0kILUbezKFfj4YxOeNm2CP/8Ey0q8PSbGGagICjJvloIFbSlVRERE5HajQJXFHT8O77wDM2ea79Vg5g8YOhRatVKQuq1YFhw+bIJTXBw8+qhp9/KCAQMSL5IDCA42b4S6dc36UFdTmBIRERFJMwpUWdSxYyZIffihWXcVoH59E6RatFCQui1cuOA6dG/TJjh50txWsWJioPL0hOefB19fE6DuvhsKF3Y9VkxMhpYuIiIikl0oUGUxx47B2LEwa1ZikLrnHjO0r1kzBaksKzoa/v0XKlVKbGvQAHbtct0vRw6oUQPq1TOz8yVMZf7eexlXq4iIiIg4KVBlEUeOmCA1e7b57g1mJNfQodC0qYJUlmJZcOCA6XVK6Hn64w9zEsPDzRA+MD1NkZGJQ/fuvtvMyOfra2/9IiIiIuKkQJXJHT5sgtScOYlBqmFDE6QaN1aQynJGjoQPPjAL6l4rf344dAjKlTPbM2eaHikRERERybT0bS2TOnQIxoyBjz5KvPwlJMQM7WvUyM7K5IaiomD7dtfrnpYvh5Ilze2eniZMeXlBzZquvU/ly7smZIUpERERkUxP39gymYMHTZCaOzcxSDVubHqkQkJsLU2uZ8sW+OQTE562bk3sSkywaVNioHr8cTNGs2ZN8PHJ8FJFREREJG0pUGUSBw7A6NFmOaHYWNPWpIkJUg0b2lqaJDhzxoSjTZugQwcTigD274fJkxP3CwhI7HWqW9dMv5igZMnEcCUiIiIiWZ4Clc3+/RdGjYJPP00MUs2amSB17fJBkoGiokxvU8LEERs3mpOVwM8vMVDdey/07ZsYosqU0cVtIiIiItmEApVN/vknMUjFxZm2Fi1MkLrnHntry3bi400vk4dH4oQQO3e69iwlqFDBBKfq1RPbiheHiRMzpFQRERERyVwUqDLYvn0mSH3+eWKQatUKhgxJ/vu7pIPTp12nLN+0ySyi++yzZqVkMIGpRAmz5lPC0L06dcxMfCIiIiIi/0+BKoP8/Te8/TZ88YXpEAFo3dr0SNWta29ttzXr/9q787Co6v0P4O9hdFgdkCuyKEJkkqiIuD2YXlxQKONK3dL6laK31ApTsiwsS81bVJbo4/Wm2VVLM9yuWjdXLMB9QxQVcUkRjUU0N/QBm/n8/jgxMGzCyDAs79fzzONZvt8z33M+830OH8853yMlt9/dvQt07mx8614xG5uSUUAAQKNRxqwnIiIiIqoCEyozy8hQEqmVK0sSqaFDlStSvXpZtm2Njl4PnDplPGS5iwuwZYuy3tZWGbZcpQIefdR4yPIuXUpeqEtEREREVE1MqMwkPV1JpOLjSxKp8HAlkerRw7Jta3Q+/VR519PBg8DNm8brWrRQ7q1Uq5X5DRuANm0AR8c6byYRERERNT5MqGrZyZPArFnAqlXK3WYA8Le/KYlU9+6WbVuDdueO8r6nAweUASS+/LJk3S+/ADt2KNO2tkrGWvzcU+/eymATxfz86rbdRERERNSoMaGqJSdOKInU6tUliVREhJJIdetm0aY1TGfPAsnJJbfupaWVjOIBADNmAK6uyvSrrwJPP60kUZ07A834syYiIiKiusG/PB/Q8ePAhx8Ca9eWJFJPPw28/37Ja4roPn77TUmcHn9cGRwCAOLigH//27ich0fJVafiW/gAYNiwumsrEREREVEpTKhMdOyYkkitW1ey7O9/V65IlX5FEZVx+zZw6FDJwBH79wOXLyvrdu8ueQlXcLBy/2TpW/fatLFcu4mIiIiIKsCEqoaOHlUSqf/+V5lXqYBnnlGuSHXpYtm21Rt6vfKup8uXlSTI2RkAoPr2W2DcuJJROopZWQGdOgEFBSXLhg9XPkRERERE9RgTqmo6ckRJpDZsUOZVKuXv/fffV3KBJuPWLSUBsrdX5k+eBBYuVJKny5eV2/eys4E//lDWL1oEjBmjTLdvryRTbdsaD1nevTvg4GCZ/SEiIiIiegBMqO4jJQWYORP44QdlXqUCRoxQEqlGO2BcVhawcaNxklQ8feuWkkCNH6+UzcsD5s8vvw2VShk0otTVKOnRQ9mGh0cd7QgRERERkXkxoarE4cNKIvXjj8q8lRXw3HPAtGlAx46WbZtJfv9deW6pdHJUOlmaOVO5HQ8Afv0VeP31yreVl1cy7esLxMQot/a1aaMkS23aAG5uJaPt3bun/KvRMJkiIiIiokaFCVUZBw8qucVPPynzVlbA//2fkkj5+lq2beXcuwdculTxlaTLl4HXXlOyQEAZRSMsrPJtXbpUMu3jo4ywUZwclU2WSt+e5+4OxMaaZ/+IiIiIiOo5JlR/2r9fSaQ2b1bmrayAF15QEqkOHeq4MXo9kJ9fPkn67TfgqaeAJ55Qyu3dq4yGV5nS69q1U0bNKJ0YlZ5+6KGSsp6eyjjwRERERERUpSafUO3bpyRSW7Yo82o18OKLwHvvAY88YoYvLCgofyWpTx+gb19l/f79QL9+JbfJleXqWpJQtWkDWFtXfiWp9BuFH3pIuUpFRERERES1pskkVLt2qfDkkyXvg92zR0mktm1T5tVqYNQo4N13lcHoauyPP4Dc3JJkqX17oHNnZd3x48pIFpcvAzdulK/73nslCVWrVkoypVIBrVuXT5ZKX3Xy8QHu3lXKEhERERFRnWsQCdWCBQswe/Zs5OTkoGvXrpg/fz569epVo21ERDRD27bAK68AiYlAQoKyXK0GIiOVROrhhyuoKALcvKkkQ1qtMuQ3oAzcMHlySQKVk2P8fqV33wU++kiZtrNThhcv5uBgfCWpa9eSdV5eQGam8mxS8+ZV7xQTKSIiIiIii6r3CdWqVaswefJkLFy4EL1798bcuXMRGhqKjIwMtG7dukbbunRJeSYKUAage2lkEWLevAfvTn++Uyk7G4iLM3526bffSl44O3Uq8PHHyrRKpQwtXpparYxuVzzKXTFPTyWDK06gtNrKG9msmfK8ExERERER1Xv1PqGaM2cOxo4dizF/vhx24cKF+Omnn7BkyRLExMRUezvvIBY+uAoP/AZPq8vorL0M9dIrgFupJKmwEJg9u+INODkZz7dpAyxYYPzckqtryT2FpTVvDgwaVO22EhERERFRw1CvE6qioiIcPnwYU6dONSyzsrJCSEgI9u7dW2GdwsJCFBYWGuZv/PnM0gR8AsN1IT1QcO3PyfPnobt6VZnRaGA1fjzg5gZxdwfc3ZV/3dyU2/YAoLgsoDwXVdr16ybuaeN279493LlzB1evXkXz+93GSGbBGFgeY2BZPP6WxxhYHmNgeYyB5V27piQBIlJr26zXCVV+fj50Oh1cXV2Nlru6uuLUqVMV1omNjcXMmTPLLfes7Evi45UPERERERE1CVevXoWjo2OtbKteJ1SmmDp1KiZPnmyYv379Ory8vHDx4sVaO2hUMzdv3oSnpyeysrKgrer5MTIbxsDyGAPL4vG3PMbA8hgDy2MMLO/GjRto164dnJ2da22b9TqhatWqFdRqNXJzc42W5+bmwq30oA+lWFtbw9rautxyR0dH/nAtTKvVMgYWxhhYHmNgWTz+lscYWB5jYHmMgeVZWVnV3rZqbUtmoNFo0L17d+zYscOwTK/XY8eOHQgKCrJgy4iIiIiIiOr5FSoAmDx5MiIjI9GjRw/06tULc+fORUFBgWHUPyIiIiIiIkup9wnViBEjcOXKFXzwwQfIyclBQEAAtmzZUm6gispYW1tj+vTpFd4GSHWDMbA8xsDyGAPL4vG3PMbA8hgDy2MMLM8cMVBJbY4ZSERERERE1ITU62eoiIiIiIiI6jMmVERERERERCZiQkVERERERGQiJlREREREREQmahQJ1YIFC+Dt7Q0bGxv07t0bBw4cqLL8mjVr8Oijj8LGxgZdunTBpk2b6qiljVdNYrBs2TKoVCqjj42NTR22tnFJTk5GeHg4PDw8oFKpsGHDhvvWSUxMRGBgIKytrdG+fXssW7bM7O1szGoag8TExHJ9QKVSIScnp24a3MjExsaiZ8+eaNGiBVq3bo2IiAhkZGTctx7PBbXHlBjwXFC7vvzyS/j7+xteGBsUFITNmzdXWYd9oHbVNAbsA+b3ySefQKVSITo6uspyD9oXGnxCtWrVKkyePBnTp09HSkoKunbtitDQUOTl5VVYfs+ePXj++efx0ksv4ciRI4iIiEBERASOHz9exy1vPGoaA0B5Q3h2drbhk5mZWYctblwKCgrQtWtXLFiwoFrlz58/j6FDh2LAgAFITU1FdHQ0Xn75ZWzdutXMLW28ahqDYhkZGUb9oHXr1mZqYeOWlJSEqKgo7Nu3D9u3b8e9e/cwZMgQFBQUVFqH54LaZUoMAJ4LalPbtm3xySef4PDhwzh06BAGDhyIYcOG4cSJExWWZx+ofTWNAcA+YE4HDx7EokWL4O/vX2W5WukL0sD16tVLoqKiDPM6nU48PDwkNja2wvLDhw+XoUOHGi3r3bu3jB8/3qztbMxqGoOlS5eKo6NjHbWuaQEg69evr7LM22+/LZ06dTJaNmLECAkNDTVjy5qO6sTgl19+EQDy+++/10mbmpq8vDwBIElJSZWW4bnAvKoTA54LzK9ly5by9ddfV7iOfaBuVBUD9gHzuXXrljzyyCOyfft2CQ4OlkmTJlVatjb6QoO+QlVUVITDhw8jJCTEsMzKygohISHYu3dvhXX27t1rVB4AQkNDKy1PVTMlBgBw+/ZteHl5wdPT877/e0O1i32g/ggICIC7uzsGDx6M3bt3W7o5jcaNGzcAAM7OzpWWYT8wr+rEAOC5wFx0Oh3i4+NRUFCAoKCgCsuwD5hXdWIAsA+YS1RUFIYOHVruN16R2ugLDTqhys/Ph06ng6urq9FyV1fXSp9FyMnJqVF5qpopMfD19cWSJUuwceNGrFixAnq9Hn369MGlS5fqoslNXmV94ObNm7h7966FWtW0uLu7Y+HChVi3bh3WrVsHT09P9O/fHykpKZZuWoOn1+sRHR2Nxx57DJ07d660HM8F5lPdGPBcUPvS0tLg4OAAa2trvPLKK1i/fj38/PwqLMs+YB41iQH7gHnEx8cjJSUFsbGx1SpfG32hWY1aSFQLgoKCjP63pk+fPujYsSMWLVqEWbNmWbBlRHXD19cXvr6+hvk+ffrg3LlziIuLw/Llyy3YsoYvKioKx48fx65duyzdlCarujHguaD2+fr6IjU1FTdu3MDatWsRGRmJpKSkSv+gp9pXkxiwD9S+rKwsTJo0Cdu3b6/TAT4adELVqlUrqNVq5ObmGi3Pzc2Fm5tbhXXc3NxqVJ6qZkoMymrevDm6deuGs2fPmqOJVEZlfUCr1cLW1tZCraJevXoxCXhAEyZMwP/+9z8kJyejbdu2VZblucA8ahKDsngueHAajQbt27cHAHTv3h0HDx7EvHnzsGjRonJl2QfMoyYxKIt94MEdPnwYeXl5CAwMNCzT6XRITk7Gv/71LxQWFkKtVhvVqY2+0KBv+dNoNOjevTt27NhhWKbX67Fjx45K71cNCgoyKg8A27dvr/L+VqqcKTEoS6fTIS0tDe7u7uZqJpXCPlA/paamsg+YSEQwYcIErF+/Hj///DMeeuih+9ZhP6hdpsSgLJ4Lap9er0dhYWGF69gH6kZVMSiLfeDBDRo0CGlpaUhNTTV8evTogRdeeAGpqanlkimglvqCaWNn1B/x8fFibW0ty5Ytk5MnT8q4cePEyclJcnJyRERk5MiREhMTYyi/e/duadasmXz++eeSnp4u06dPl+bNm0taWpqldqHBq2kMZs6cKVu3bpVz587J4cOH5bnnnhMbGxs5ceKEpXahQbt165YcOXJEjhw5IgBkzpw5cuTIEcnMzBQRkZiYGBk5cqSh/K+//ip2dnYyZcoUSU9PlwULFoharZYtW7ZYahcavJrGIC4uTjZs2CBnzpyRtLQ0mTRpklhZWUlCQoKldqFBe/XVV8XR0VESExMlOzvb8Llz546hDM8F5mVKDHguqF0xMTGSlJQk58+fl2PHjklMTIyoVCrZtm2biLAP1IWaxoB9oG6UHeXPHH2hwSdUIiLz58+Xdu3aiUajkV69esm+ffsM64KDgyUyMtKo/OrVq6VDhw6i0WikU6dO8tNPP9VxixufmsQgOjraUNbV1VWeeOIJSUlJsUCrG4fiIbjLfoqPeWRkpAQHB5erExAQIBqNRnx8fGTp0qV13u7GpKYx+PTTT+Xhhx8WGxsbcXZ2lv79+8vPP/9smcY3AhUdewBGv2ueC8zLlBjwXFC7/vGPf4iXl5doNBpxcXGRQYMGGf6QF2EfqAs1jQH7QN0om1CZoy+oRESqfz2LiIiIiIiIijXoZ6iIiIiIiIgsiQkVERERERGRiZhQERERERERmYgJFRERERERkYmYUBEREREREZmICRUREREREZGJmFARERERERGZiAkVERERERGRiZhQERFRnfD29sbcuXPr5LtGjhyJjz/+uNrlY2Ji8Prrr9+3XF3uAxERNQwqERFLN4KIiKpn9OjR+Oabb8otDw0NxZYtW6q1jf79+yMgIKDOE4MrV67A3t4ednZ2Zv2eo0ePYuDAgcjMzISDg0O16uTn58PHxwepqanw8fGptFxd7YMpvL29ER0djejoaEs3hYioSeEVKiKiBiYsLAzZ2dlGn++//97SzbovFxeXOklE5s+fj2effbbayRQAtGrVCqGhofjyyy+rLFdX+2BJRUVFlm4CEVGDwoSKiKiBsba2hpubm9GnZcuWAIDExERoNBrs3LnTUP6zzz5D69atkZubi9GjRyMpKQnz5s2DSqWCSqXChQsXAADHjx/H448/DgcHB7i6umLkyJHIz883bKd///6YOHEi3n77bTg7O8PNzQ0zZswwrBcRzJgxA+3atYO1tTU8PDwwceJEw/qyt8tdvHgRw4YNg4ODA7RaLYYPH47c3FzD+hkzZiAgIADLly+Ht7c3HB0d8dxzz+HWrVuVHhudToe1a9ciPDzcsOzUqVOws7PDypUrDctWr14NW1tbnDx50rAsPDwc8fHxVR77svugUqnw9ddf46mnnoKdnR0eeeQR/PDDD/fdxj//+U+MGjUKDg4O8PLywg8//IArV64Yjoe/vz8OHTpkVG/Xrl3o168fbG1t4enpiYkTJ6KgoACAEpvMzEy88cYbhrhWp15xe2bNmoVRo0ZBq9Vi3LhxKCoqwoQJE+Du7g4bGxt4eXkhNja2yv0iImqyhIiIGozIyEgZNmxYlWWmTJkiXl5ecv36dUlJSRGNRiMbN24UEZHr169LUFCQjB07VrKzsyU7O1v++OMP+f3338XFxUWmTp0q6enpkpKSIoMHD5YBAwYYthscHCxarVZmzJghp0+flm+++UZUKpVs27ZNRETWrFkjWq1WNm3aJJmZmbJ//3756quvDPW9vLwkLi5ORER0Op0EBARI37595dChQ7Jv3z7p3r27BAcHG8pPnz5dHBwc5Omnn5a0tDRJTk4WNzc3effddyvd95SUFAEgOTk5RssXLFggjo6OkpmZKVlZWdKyZUuZN2+eUZn09HQBIOfPn690+6X3QUQEgLRt21ZWrlwpZ86ckYkTJ4qDg4NcvXq1ym04OzvLwoUL5fTp0/Lqq6+KVquVsLAwWb16tWRkZEhERIR07NhR9Hq9iIicPXtW7O3tJS4uTk6fPi27d++Wbt26yejRo0VE5OrVq9K2bVv58MMPDXGtTr3i9mi1Wvn888/l7NmzcvbsWZk9e7Z4enpKcnKyXLhwQXbu3CkrV66sdJ+IiJoyJlRERA1IZGSkqNVqsbe3N/p89NFHhjKFhYUSEBAgw4cPFz8/Pxk7dqzRNoKDg2XSpElGy2bNmiVDhgwxWpaVlSUAJCMjw1Cvb9++RmV69uwp77zzjoiIfPHFF9KhQwcpKiqqsO2lk5Ft27aJWq2WixcvGtafOHFCAMiBAwdEREmo7Ozs5ObNm4YyU6ZMkd69e1d6fNavXy9qtdqQiJQ2dOhQ6devnwwaNEiGDBlSrsyNGzcEgCQmJla6/YoSqmnTphnmb9++LQBk8+bNVW7jxRdfNMxnZ2cLAHn//fcNy/bu3SsADInRSy+9JOPGjTPazs6dO8XKykru3r1bYdtqUi8iIsKozOuvvy4DBw6s8DgSEZGxZpa6MkZERKYZMGBAuWd9nJ2dDdMajQbfffcd/P394eXlhbi4uPtu8+jRo/jll18qfO7o3Llz6NChAwDA39/faJ27uzvy8vIAAM8++yzmzp0LHx8fhIWF4YknnkB4eDiaNSt/qklPT4enpyc8PT0Ny/z8/ODk5IT09HT07NkTgHI7WosWLSr8vorcvXsX1tbWRre8FVuyZAk6dOgAKysrnDhxolwZW1tbAMCdO3cq3X5FSh8Te3t7aLXaKttYto6rqysAoEuXLuWW5eXlwc3NDUePHsWxY8fw3XffGcqICPR6Pc6fP4+OHTtW+D3VrdejRw+jeqNHj8bgwYPh6+uLsLAwPPnkkxgyZEiV+0RE1FQxoSIiamDs7e3Rvn37Ksvs2bMHAHDt2jVcu3YN9vb2VZa/ffs2wsPD8emnn5Zb5+7ubphu3ry50TqVSgW9Xg8A8PT0REZGBhISErB9+3a89tprmD17NpKSksrVq66qvq8irVq1wp07d1BUVASNRmO07ujRoygoKICVlRWys7ON9gtQjhWgDDxhzjaWrVOc2FW0rHg7t2/fxvjx442eSSvWrl27Sr+nuvXK/j4CAwNx/vx5bN68GQkJCRg+fDhCQkKwdu3aKveLiKgpYkJFRNTInDt3Dm+88QYWL16MVatWITIyEgkJCbCyUsYh0mg00Ol0RnUCAwOxbt06eHt7V3hFqbpsbW0RHh6O8PBwREVF4dFHH0VaWhoCAwONynXs2BFZWVnIysoyXKU6efIkrl+/Dj8/P5O/PyAgwLCt4mlASZZGjx6N9957D9nZ2XjhhReQkpJiuCoFKINyNG/eHJ06dTL5+80lMDAQJ0+erDKRriyu96tXGa1WixEjRmDEiBF45plnEBYWhmvXrhldDSUiIo7yR0TU4BQWFiInJ8foUzwan06nw4svvojQ0FCMGTMGS5cuxbFjx/DFF18Y6nt7e2P//v24cOEC8vPzodfrERUVhWvXruH555/HwYMHce7cOWzduhVjxowp90d6ZZYtW4b//Oc/OH78OH799VesWLECtra28PLyKlc2JCQEXbp0MSQ2Bw4cwKhRoxAcHFzu9rOacHFxQWBgIHbt2mW0/JVXXoGnpyemTZuGOXPmQKfT4a233jIqs3PnTsNoePXNO++8gz179mDChAlITU3FmTNnsHHjRkyYMMFQxtvbG8nJybh8+bLh91CdehWZM2cOvv/+e5w6dQqnT5/GmjVr4ObmBicnJ3PuJhFRg8SEioiogdmyZQvc3d2NPn379gUAfPTRR8jMzMSiRYsAKLfrffXVV5g2bRqOHj0KAHjrrbegVqvh5+cHFxcXXLx4ER4eHti9ezd0Oh2GDBmCLl26IDo6Gk5OToYrW/fj5OSExYsX47HHHoO/vz8SEhLw448/4i9/+Uu5siqVChs3bkTLli3x17/+FSEhIfDx8cGqVase+Pi8/PLLRs8Mffvtt9i0aROWL1+OZs2awd7eHitWrMDixYuxefNmQ7n4+HiMHTv2gb/fHPz9/ZGUlITTp0+jX79+6NatGz744AN4eHgYynz44Ye4cOECHn74YcNti9WpV5EWLVrgs88+Q48ePdCzZ09cuHABmzZtqvZvgYioKVGJiFi6EURERLXl7t278PX1xapVqxAUFFStOps3b8abb76JY8eOPdAtj0RE1PTwv5qIiKhRsbW1xbfffmv0UuL7KSgowNKlS5lMERFRjfEKFRERERERkYl4hYqIiIiIiMhETKiIiIiIiIhMxISKiIiIiIjIREyoiIiIiIiITMSEioiIiIiIyERMqIiIiIiIiEzEhIqIiIiIiMhETKiIiIiIiIhMxISKiIiIiIjIRP8PP/u8Ct1qU1gAAAAASUVORK5CYII=\n"
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        "#Hookes Law\n",
        "\n",
        "## Aim\n",
        "\n",
        "The inquiry starts by setting up a simple experiment. Hang a spring from a fixed point and attach various weights to it. With each weight, measure how much the spring stretches. Students observe the changes in the length of the spring as more weight is added.\n",
        "\n",
        "Here are some questions to reflect on:\n",
        "\n",
        "- What do you notice about the spring as the weight increases?\n",
        "- Do you think there is a pattern in how the spring stretches with more weight?\n",
        "- What might happen if we keep adding more weight?\n",
        "\n",
        "This hands-on activity will help students visually interpret the relationship between weight (force) and spring extension.\n",
        "\n",
        "## The Law\n",
        "\n",
        "Hooke's Law: It is a principle of physics that states the force $ F $ needed to extend or compress a spring by some distance $ x $ scales linearly with respect to that distance. That is, $ F = kx $, where:\n",
        "- $ F $ is the force applied to the spring, (The Independant Variable, IV)\n",
        "- $ x $ is the extension or compression of the spring (how much it stretches or shrinks), (The Dependant Variable, DV)\n",
        "- $ k $ is the spring constant that depends on the material and make of the spring. (The Control variable, k)\n",
        "\n",
        "This law helps in understanding how much force is needed to stretch or compress various materials, which is useful in numerous engineering and scientific applications. (Which are?)\n",
        "\n",
        "## The Function\n",
        "\n",
        "Write the function $ F = kx $ down and explain each component:\n",
        "- **F (Force)**: This is the total force applied to the spring. In our case, it's due to the weights hung from the spring. This can be measured in $ \\text{Newtons} $ $( N )$ $( W = mg )$; weight force $W$ = mass $\\text{kg} \\times g$ $ \\text{m/s}^2 $\n",
        "\n",
        "- **x (Extension)**: This is how much the spring has stretched from its original length, measured in meters $(m)$.\n",
        "- **k (Spring Constant)**: This is a constant for each spring, indicating how stiff the spring is. The higher the value of $ k $, the stiffer the spring, meaning it’s harder to stretch. This is measured in newtons per meter $(N/m)$.\n",
        "\n",
        "Now, let's move to a Python code that will interactive exploration Hooke's Law by changing the spring constant $ k $ and the extension $ x $ to see how it affects the force $ F $.\n",
        "\n",
        "## The Plot\n",
        "\n",
        "The following Python code uses `ipywidgets` and `matplotlib` to create an interactive plot where students can adjust $ k $ and $ x $ using sliders and observe the resulting force $ F $:\n"
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              "         border-bottom: 1px solid var(--colab-border-color);\"><b>plot_hooke_law</b><br/>def plot_hooke_law(k, x)</pre><pre class=\"function-repr-contents function-repr-contents-collapsed\" style=\"\"><a class=\"filepath\" style=\"display:none\" href=\"#\">/content/&lt;ipython-input-1-34e254b050d1&gt;</a>&lt;no docstring&gt;</pre></div>"
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        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "from ipywidgets import interact\n",
        "\n",
        "def plot_hooke_law(k, x):\n",
        "    F = k * x  # Calculate the force based on Hooke's Law\n",
        "    plt.figure(figsize=(10, 5))\n",
        "    plt.plot(x, F, 'ro')  # Plot the force vs extension as a red dot\n",
        "    plt.xlim(0, 10)\n",
        "    plt.ylim(0, 100)\n",
        "    plt.xlabel('Extension (x) in meters')\n",
        "    plt.ylabel('Force (F) in newtons')\n",
        "    plt.title('Hooke\\'s Law Demonstration: F = kx')\n",
        "    plt.grid(True)\n",
        "    plt.show()\n",
        "\n",
        "# Create interactive sliders for spring constant and extension\n",
        "interact(plot_hooke_law, k=(0.1, 10.0, 0.1), x=(0, 10, 0.1))"
      ]
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        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "from ipywidgets import interact, FloatSlider, Button, VBox, HBox, Textarea\n",
        "\n",
        "# Default data points for extension (x values) and force (F values)\n",
        "x_data = np.array([0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0])\n",
        "F_data = np.array([0.0, 5.0, 10.0, 15.0, 20.0, 25.0, 30.0])\n",
        "\n",
        "# Function to plot the graph based on the provided data\n",
        "def plot_hooke_law(k):\n",
        "    plt.figure(figsize=(10, 5))\n",
        "    plt.plot(x_data, F_data, 'bo-', label=f'Spring Constant k = {k:.1f} N/m')\n",
        "    plt.xlim(0, max(x_data) + 1)\n",
        "    plt.ylim(0, max(F_data) + 10)\n",
        "    plt.xlabel('Extension (x) in meters')\n",
        "    plt.ylabel('Force (F) in newtons')\n",
        "    plt.title('Hooke\\'s Law: F = kx')\n",
        "    plt.legend()\n",
        "    plt.grid(True)\n",
        "    plt.show()\n",
        "\n",
        "# Slider for adjusting the spring constant\n",
        "k_slider = FloatSlider(value=1.0, min=0.1, max=10.0, step=0.1, description='Spring Constant k')\n",
        "\n",
        "# Text area for entering custom extension and force data\n",
        "data_input = Textarea(\n",
        "    value='0.0,0.0; 0.5,5.0; 1.0,10.0; 1.5,15.0; 2.0,20.0; 2.5,25.0; 3.0,30.0',\n",
        "    placeholder='Enter pairs of extension and force values as x1,F1; x2,F2; ...',\n",
        "    description='Data Pairs:',\n",
        "    disabled=False\n",
        ")\n",
        "\n",
        "# Button to update data\n",
        "update_button = Button(description='Update Data')\n",
        "\n",
        "# Function to update data based on input\n",
        "def update_data(b):\n",
        "    global x_data, F_data\n",
        "    try:\n",
        "        # Split input string into pairs\n",
        "        pairs = [pair.split(',') for pair in data_input.value.split(';')]\n",
        "        # Convert pairs to numpy arrays\n",
        "        x_data = np.array([float(pair[0]) for pair in pairs])\n",
        "        F_data = np.array([float(pair[1]) for pair in pairs])\n",
        "        plot_hooke_law(k_slider.value)  # Re-plot graph with new data\n",
        "    except ValueError:\n",
        "        print(\"Please enter valid comma-separated pairs of numbers.\")\n",
        "\n",
        "# Set the button's on_click function to update the data\n",
        "update_button.on_click(update_data)\n",
        "\n",
        "# Display widgets and initial plot\n",
        "display(VBox([HBox([data_input, update_button]), k_slider]))\n",
        "interact(plot_hooke_law, k=k_slider)\n"
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        "Let's modify the code to allow for a variable spring constant that changes as a function of the extension. This function could represent a more complex system like a shock cord with multiple components.\n",
        "\n",
        "Here’s an example where the spring constant $ k $ varies as a quadratic function of the extension $ x $:\n",
        "\n",
        "$$ k(x) = k_0 + k_1 x + k_2 x^2 $$\n",
        "\n",
        "In this function:\n",
        "- $ k_0 $ is the initial spring constant.\n",
        "- $ k_1 $ and $ k_2 $ are coefficients that define how the spring constant changes with extension.\n",
        "\n",
        "\n",
        "### Instructions:\n",
        "1. **Data Input**: Enter pairs of extension and force values separated by commas and semicolons (e.g., `0.0,0.0; 0.5,5.0; 1.0,10.0; 1.5,15.0; 2.0,20.0; 2.5,25.0; 3.0,30.0`).\n",
        "2. **Update Data**: Click the \"Update Data\" button to update the plot with the new data pairs.\n",
        "3. **Adjust Spring Constant Coefficients**: Use the sliders to adjust the coefficients $ k_0 $, $ k_1 $, and $ k_2 $ and see how the plot updates accordingly.\n",
        "\n",
        "This variation allows the spring constant to change as a function of the extension, simulating more complex behaviors such as those seen in shock cords, suspension systems or other nonlinear elastic materials."
      ],
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      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "from ipywidgets import interact, FloatSlider, Button, VBox, HBox, Textarea\n",
        "\n",
        "# Default data points for extension (x values) and force (F values)\n",
        "x_data = np.array([0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0])\n",
        "F_data = np.array([0.0, 5.0, 10.0, 15.0, 20.0, 25.0, 30.0])\n",
        "\n",
        "# Function to plot the graph based on the provided data and variable spring constant\n",
        "def plot_hooke_law(k0, k1, k2):\n",
        "    # Calculate force using the variable spring constant\n",
        "    k_values = k0 + k1 * x_data + k2 * x_data**2\n",
        "    F_calculated = k_values * x_data\n",
        "    plt.figure(figsize=(10, 5))\n",
        "    plt.plot(x_data, F_data, 'bo-', label='Experimental Data')\n",
        "    plt.plot(x_data, F_calculated, 'r--', label=f'F = ({k0:.2f} + {k1:.2f}x + {k2:.2f}x^2)x')\n",
        "    plt.xlim(0, max(x_data) + 1)\n",
        "    plt.ylim(0, max(max(F_data), max(F_calculated)) + 10)\n",
        "    plt.xlabel('Extension (x) in meters')\n",
        "    plt.ylabel('Force (F) in newtons')\n",
        "    plt.title('Hooke\\'s Law with Variable Spring Constant')\n",
        "    plt.legend()\n",
        "    plt.grid(True)\n",
        "    plt.show()\n",
        "\n",
        "# Sliders for adjusting the coefficients of the spring constant function\n",
        "k0_slider = FloatSlider(value=1.0, min=0.1, max=10.0, step=0.1, description='k0')\n",
        "k1_slider = FloatSlider(value=0.0, min=-5.0, max=5.0, step=0.1, description='k1')\n",
        "k2_slider = FloatSlider(value=0.0, min=-2.0, max=2.0, step=0.1, description='k2')\n",
        "\n",
        "# Text area for entering custom extension and force data\n",
        "data_input = Textarea(\n",
        "    value='0.0,0.0; 0.5,5.0; 1.0,10.0; 1.5,15.0; 2.0,20.0; 2.5,25.0; 3.0,30.0',\n",
        "    placeholder='Enter pairs of extension and force values as x1,F1; x2,F2; ...',\n",
        "    description='Data Pairs:',\n",
        "    disabled=False\n",
        ")\n",
        "\n",
        "# Button to update data\n",
        "update_button = Button(description='Update Data')\n",
        "\n",
        "# Function to update data based on input\n",
        "def update_data(b):\n",
        "    global x_data, F_data\n",
        "    try:\n",
        "        # Split input string into pairs\n",
        "        pairs = [pair.split(',') for pair in data_input.value.split(';')]\n",
        "        # Convert pairs to numpy arrays\n",
        "        x_data = np.array([float(pair[0]) for pair in pairs])\n",
        "        F_data = np.array([float(pair[1]) for pair in pairs])\n",
        "        plot_hooke_law(k0_slider.value, k1_slider.value, k2_slider.value)  # Re-plot graph with new data\n",
        "    except ValueError:\n",
        "        print(\"Please enter valid comma-separated pairs of numbers.\")\n",
        "\n",
        "# Set the button's on_click function to update the data\n",
        "update_button.on_click(update_data)\n",
        "\n",
        "# Display widgets and initial plot\n",
        "display(VBox([HBox([data_input, update_button]), k0_slider, k1_slider, k2_slider]))\n",
        "interact(plot_hooke_law, k0=k0_slider, k1=k1_slider, k2=k2_slider)\n"
      ],
      "metadata": {
        "id": "9jdb2dawPt93",
        "outputId": "449d68c0-fcac-4442-82a7-7456c744d253",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000,
          "referenced_widgets": [
            "e4ba59d5f7cf4b23a626a96ba125ce53",
            "36f591e2e0e54868a839a6afae5168a9",
            "8571ddf310e743e8a77d3819f5fdb0da",
            "a795788522e248cb8058a2ddbda5fa3f",
            "07fc177728dc4cc09fe961f872c1096b",
            "daf9029140c248dbbf0dc7a054fecad7",
            "74230057c5be41f2946120af83963ded",
            "adb8475f69a14953b188a1d060f9c8e1",
            "52ac8ea209a144d0988636097a90da46",
            "fa8f0e4911f74655a89a44723201a8f1",
            "db5ecd0cf53f4b05868d4c685ce05f58",
            "dbcc9816cb5e42dcb95a07e042ca4896",
            "407269aa7f784612b5cdcf911856bb78",
            "4316a1be17d14fa2878df3659eeca2cb",
            "1336f0f8113d42c28b2df4a77eb36ef5",
            "64a730cffedb4770849f9d54f9bb12a7",
            "6c431f0e4e894e6fa0d50a68f4e84655",
            "0eba27121e7b41a7a74f3768ae872294",
            "4e55e694036b4348b189ab1dcd86de89",
            "597678af8bfd4af898f8e84921d792a0",
            "a8dfbeaa04ab475cbe83565e61be2f64",
            "c2e2968456d24b8da073f598c4811a62",
            "1d15f0b310b24ee380e58685367c1d12"
          ]
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "VBox(children=(HBox(children=(Textarea(value='0.0,0.0; 0.5,5.0; 1.0,10.0; 1.5,15.0; 2.0,20.0; 2.5,25.0; 3.0,30…"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "e4ba59d5f7cf4b23a626a96ba125ce53"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "interactive(children=(FloatSlider(value=1.0, description='k0', max=10.0, min=0.1), FloatSlider(value=0.0, desc…"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "597678af8bfd4af898f8e84921d792a0"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<function __main__.plot_hooke_law(k0, k1, k2)>"
            ],
            "text/html": [
              "<div style=\"max-width:800px; border: 1px solid var(--colab-border-color);\"><style>\n",
              "      pre.function-repr-contents {\n",
              "        overflow-x: auto;\n",
              "        padding: 8px 12px;\n",
              "        max-height: 500px;\n",
              "      }\n",
              "\n",
              "      pre.function-repr-contents.function-repr-contents-collapsed {\n",
              "        cursor: pointer;\n",
              "        max-height: 100px;\n",
              "      }\n",
              "    </style>\n",
              "    <pre style=\"white-space: initial; background:\n",
              "         var(--colab-secondary-surface-color); padding: 8px 12px;\n",
              "         border-bottom: 1px solid var(--colab-border-color);\"><b>plot_hooke_law</b><br/>def plot_hooke_law(k0, k1, k2)</pre><pre class=\"function-repr-contents function-repr-contents-collapsed\" style=\"\"><a class=\"filepath\" style=\"display:none\" href=\"#\">/content/&lt;ipython-input-9-ab5a205d6bad&gt;</a>&lt;no docstring&gt;</pre></div>"
            ]
          },
          "metadata": {},
          "execution_count": 9
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}