diff --git a/doc/pub/week36/ipynb/week36.ipynb b/doc/pub/week36/ipynb/week36.ipynb index 85abf7d75..326b2fa5d 100644 --- a/doc/pub/week36/ipynb/week36.ipynb +++ b/doc/pub/week36/ipynb/week36.ipynb @@ -5129,7 +5129,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "id": "92ca291e", "metadata": { "collapsed": false, @@ -5143,16 +5143,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 2.03099776 -0.17917768 5.18029127]\n", + "[2.0000000e+00 7.1942452e-14 5.0000000e+00]\n", "Training MSE for OLS\n", - "0.009163470508352218\n", + "9.647251180883923e-28\n", "Test MSE OLS\n", - "0.008675369724975977\n" + "1.2167390602128887e-27\n" ] }, { "data": { - "image/png": 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BA+HIx3AWqNldEhlRNFy+rC4ZkTU3Vr166jIH1avD88+ric2dS21YCUlmhFXasWMHU6ZMISEhgfDwcD799NM8m5CEeKR0OijvA2v/AnTQYKDWEQnxcP79FyZNgh9/hBYtYNWtyWNLl4b//lObVHOhKAqKAnq9LtcyhU2SGWGVfvzxR61DECJv22714ar4JPiU0TYWIR7UgQMwcaLaJyZLYqI6Ui+r6TuHRCYlPZPt/10j6sgV1h+JYXir8nSskfe8ZIVJkhkhhMiPTz+FJT+BTzRU1UPDIVpHJET+HTwIY8fCL7/cPvfMMzB6NNSqleMlsTfTWPHPJdYdusyWE1dJSb89h9b6wzGSzAghhM345x/YsBlaGKH0YxBcX+uIhMi/tWvVREang65dYcwYqFIlW7HE1AzWHLzEb9EX2HTsKhmm22OG/N0daRHhR4sKJWhcNvvs84+SJDNCCJEfN66rWyPQSGplhI0wmeDCBbUPDKgd2P/7D/r1g8qVLYoqikL02Rt8u/00yw9ctKiBqRzoTruqATwe4UeEv1u22dq1IsmMEELkx8UT6tbLDyLaaxuLEPfj4EHo00edG+mff8BoVCe6mz7dolhyWia/7TvPt9tP88/5ePP5cF8XOlQP5KkagZQpYZ1rkEkyI4QQ+RF/6498qQqgz/8CsUI8MoqizlT91ltqh15XV4iOhvqWTaPxKenM33KKrzafJC5ZnU/GwU5Ph2qB9GgYQvXSHlZTA5MbSWZEoTp16hRhYWHs3buXGjVq5FgmKiqKFi1aEBsbi6en5yONT4h8S0xSt/lY5kOIR+7CBbU2JmuIdZs28NVXEBhoLhKXnM68LSf5evNJ4lMyAAjyduLF+iE8WycILxcHLSJ/IIUzbZ8oVL169UKn0+W4XMDAgQPR6XQWq2HHxMTQv39/goODMRqN+Pv7ExkZybZt28xlQkND0el02W4ffvhhrnE0b97cXM7BwYEyZcowevRoUlNTzWWCgoK4ePEiVXLoWPYo5fb6sm7Nmzd/4Mdu3rw5w4YNK7BYhZVLSla3Hl7axiFEbn79FapVUxMZR0e1dmb5cnMik5Keycy/jtHkw7+YvvYY8SkZlPVz5ZPnahD1Zgv6NytjU4kMSM2MzQoKCmLRokVMmzYNJycnQJ0af+HChQQHB1uU7dKlC+np6SxYsIDw8HAuX77MunXruH79ukW5iRMn0q9fP4tzbm5uecbRr18/Jk6cSFpaGjt37qR3794ATJo0CVAXv/T393+o11oQdu7caV4xe+vWrXTp0oUjR46Yp8h2cLCtX1yhJQV0gIen1oEIkZ3JBB9/rPaPqVULvvsObi2QqygKaw/F8L8/DnLmulrDWL6kK689UY52VQI0nfTuYUnNjI2qVasWwcHBLFmyxHxuyZIlBAUFUbNmTfO5GzdusHnzZiZPnkyLFi0ICQmhXr16jB49mvbtLTsvurm54e/vb3FzcXHJMw5nZ2f8/f0JDg6mS5cutGrVitWrV5vvP3XqFDqdjujoaPO55cuXU758eZycnGjRogWnTp3K9rhz584lKCgIZ2dnOnXqxNSpU7M1Qf3+++/Url0bR0dHwsPDmTBhAhkZGTnGWaJECfNr8vb2BsDPz8987vDhwzRt2hQnJyeCgoJ47bXXuHnzpvn6WbNmUa5cORwdHSlZsiTPPPMMoNaSbdiwgU8++cRcy5PT6xFFyCdPwxg3qFBO60iEyE6vVyfAGzcOtm0zJzInriTSa95O+n2zizPXkyjpbmR6txqsHNqUJ6sF2nQiA5LM5O7mzdxvKSn3XzY5+d5lH1Dv3r2ZN2+e+fjrr7+2WH0a1FWzXV1dWbZsmUXzT2HYt28fW7Zswd7ePtcyZ8+epXPnzrRr147o6Gj69u3LqFGjLMps2bKFAQMGMHToUKKjo2nVqhXvv/++RZlVq1bx4osv8tprr3Hw4EG++OIL5s+fn63c/Thw4ACRkZF07tyZ/fv3s3jxYjZv3szgwYMB2LVrF6+99hoTJ07kyJEjrFy5kqZNmwLwySef0LBhQ/r168fFixe5ePEiQUFB+Y5B2JDUBHVuDse8ay2FeGQuXIDPPrt97OcH48eDgwOZJoVZUcdpM30jG45ewd6g49XmZfjrjeY8XbOUzScxZkoRFxcXpwBKXFxctvuSk5OVgwcPKsnJydkvVPuB53xr186yrLNz7mWbNbMs6+ubvUw+9ezZU+nYsaNy5coVxWg0KidPnlROnTqlODo6KleuXFE6duyo9OzZ01z+559/Vry8vBRHR0elUaNGyujRo5V9+/ZZPGZISIji4OCguLi4WNzWr1+faxzNmjVT7O3tFRcXF8XBwUEBFL1er/z888/mMidPnlQAZe/evYqiKMro0aOVihUrKiaTyVxm5MiRCqDExsYqiqIo3bp1U9q3b2/xXN27d1c8PDzMx4899pjywQcfWJT59ttvlYCAgHu+f+vXr7d4vh49eiivvPKKRZlNmzYper1eSU5OVn755RfF3d1diY+Pz/V9GDp06D2fNyd5fgaFdZrbUlHGuSvKwd+0jkQIRdm3T1ECA9Xvkm++sbjrzLWbStfZW5WQkX8oISP/UHp+/bfy35VEjQLNv7y+v+8mfWZsmK+vL+3bt2fBggUoikL79u3x9c0+C2OXLl1o3749mzZtYtu2baxcuZIpU6bw5ZdfWnQUHjFihMUxQKlSeU9P3b17d9555x3i4+OZPHky7u7udOnSJdfyhw4dokGDBhbD/Bo2bGhR5siRI3Tq1MniXL169fjjjz/Mx7t372bnzp0WNTGZmZmkpKSQlJSEs7NznnHfaffu3Rw/fpzvv//efE5RFEwmEydPnqRVq1aEhIQQHh5OmzZtaNOmDZ06dcrXc4gi4tw5+GgHOCRBD+ucb0MUI3v2QKtWcP26OvFd48aA+vdryZ7zjPvtXxJTM3BxMDDuqcp0rV3a6odYPyhJZnKTmJj7fYa75paIicm9rP6ulrwC7k/Rp08fc3PIZ3dWM97F0dGRVq1a0apVK8aOHUvfvn0ZN26cRfLi6+tL2bJl8/X8Hh4e5mu+++47KleuzFdffcXLL7+cY3lFUXI8f3eZu3/h7r7OZDIxYcIEOnfunO16x6zF0e6TyWSif//+vPbaa9nuCw4OxsHBgT179hAVFcXq1asZO3Ys48ePZ+fOnTKUvLi5ehWOxIOrDowyNFtoaOdOaN0abtxQ541ZuRI8PUlOy2TkL/v5bd8FAOqEeDH12RoE+xTtf74kmcnNPTq+PpKy96FNmzakpaUBEBkZed/XVapUiWXLlhVoLPb29rz99tuMHj2a559/Pseai5yed/v27RbHERER7Nixw+Lcrl27LI5r1arFkSNH8p185aRWrVr8+++/eT6WnZ0dLVu2pGXLlowbNw5PT0/++usvOnfujIODg3mklCjisibMM+rAKH1mhEa2bVPnjYmPV2tjli8Hd3cuxiXT75td/HM+Hju9jtdblWdAszIYikq/mDxIB2AbZzAYOHToEIcOHcJwd40RcO3aNR5//HG+++479u/fz8mTJ/npp5+YMmUKHTt2tCibkJDApUuXLG7x8fHZHjMvL7zwAjqdjlmzZuV4/4ABAzhx4gTDhw/nyJEj/PDDD8yfP9+izJAhQ1i+fDlTp07l2LFjfPHFF6xYscKitmbs2LF88803jB8/nn///ZdDhw6xePFi3n333XzFCzBy5Ei2bdvGoEGDiI6O5tixY/z2228MGaKuu/PHH3/w6aefEh0dzenTp/nmm28wmUxUqFABUOew+fvvvzl16hRXr17FZDLl9XTClpmTGcAozUxCA5cuQWSk+lls1kytkXF3Z++ZWJ6auYV/zsfj7eLAwlcaMKhF2WKRyIAkM0WCu7u7eb6Uu7m6ulK/fn2mTZtG06ZNqVKlCmPGjKFfv37MnDnTouzYsWMJCAiwuL311lv5isXBwYHBgwczZcoUEnNoqgsODuaXX37h999/p3r16nz++ed88MEHFmUaN27M559/ztSpU6levTorV67k9ddft2g+ioyM5I8//mDNmjXUrVuXBg0aMHXqVEJCQvIVL0C1atXYsGEDx44d47HHHqNmzZqMGTOGgIAAADw9PVmyZAmPP/44FStW5PPPP2fhwoVUvrU425tvvonBYKBSpUqUKFGCM2fO5DsGYSNir6lbqZkRWvH3h7Fj4Ykn4M8/wdWVpXvP0W3Odq4kpBLh78avgxpTN9Rb60gfKZ1yP50YbFh8fDweHh7ExcVl+8JPSUnh5MmThIWF5bufhXi0+vXrx+HDh9m0aZPWoRQo+QzamE8/gqEjIMIO/k3N3idOiEclIwPs7JgVdZwpK48A0KpSSaZ1q4GrsWj0IMnr+/tu8psorNJHH33Evn37OH78ODNmzGDBggX07NlT67BEcZdVM+NoL4mMeHTi42HQILWz7y2KwcD0tUfNicyAZmX44sXaRSaRya/i+aqF1duxYwdTpkwhISGB8PBwPv30U/r27at1WKK4S0pQlzJwNmodiSgu0tOha1dYvRqOHIG1a1EUhY9XH2Xm+uMAvNWmAgObP/xgCFsmyYywSj/++KPWIQiR3avPgeM34F1G60hEcaAoMHCgmsg4O8OHH6IoCh+uOMwXG/8D4N32Fen7WLjGgWpPkhkhhLhfWUsZOEnnX/EITJsGX36pNmkuWoRSuzbv/XmIrzafBGDCU5Xp2ShU2xithCQzQghxv1IT1K2MZBKFbft2GDlS3Z82DTp0YM6GE+ZE5v1OVeheP/+jN4sq6cEmhBD3a+p8WJwEp1LuWVSIBxYbC926qSOWunWDIUP4Y/8FJq04DMCYJytJInMXSWaEEOJ+7ToIhzMguXhMRCY0cv682l+mTBmYM4edp2MZvngfAL0bh/JykzCNA7Q+miYzGzdupEOHDgQGBqLT6SymuU9PT2fkyJFUrVoVFxcXAgMDeemll7hw4YJ2AQshirebyerW3UPbOETRVqUKREfD779zIlVPv292kZZpIrJySd5tX0nr6KySpsnMzZs3qV69eraZaAGSkpLYs2cPY8aMYc+ePSxZsoSjR4/y1FNPaRCpEEJwO5nx8NQ0DFFE3bnGm7c3V4PC6T1vJzeS0qkR5Mn0bjWLzfIE+aVpB+C2bdvStm3bHO/z8PBgzZo1FudmzJhBvXr1OHPmDMHBwY8iRCFyNH78eJYtW0Z0dLTWoYhHKUld1BXP4jVVvHgEbt6Ehg1h2DDo3ZtMBV5buJcz15MI9nbmy551cHLIvv6eUNlUn5m4uDh0Oh2enp65lklNTSU+Pt7iVtT06tULnU7HgAEDst03cOBAdDodvXr1Mp+LiYmhf//+BAcHYzQa8ff3JzIykm3btpnLhIaGotPpst0+/PDDXONo3rw5w4YNK8iXVmjmz5+f5+cmv958803WrVtXYI8nbICi3JHM+Ggbiyh6xoyBAwdg/Hi4eZOZfx1n64lrODsY+LpXHXxdZaLGvNjM0OyUlBRGjRrFCy+8kOcaDZMmTWLChAmPMDJtBAUFsWjRIqZNm4aTkxOgvkcLFy7MVmvVpUsX0tPTWbBgAeHh4Vy+fJl169Zx/fp1i3ITJ06kX79+Fufc3IrXENS0tDQcHBzuWc7V1RVXV1k1uVhJSlITGgDvEtrGIoqWnTvhk0/U/Tlz2HY5lU/WHQXgvaerUNaveP0dfhA2UTOTnp7Oc889h8lkYtasWXmWHT16NHFxcebb2bNnH1GUj1atWrUIDg5myZIl5nNLliwhKCiImjVrms/duHGDzZs3M3nyZFq0aEFISAj16tVj9OjRtG/f3uIx3dzc8Pf3t7i5uLg8cIwjR46kfPnyODs7Ex4ezpgxY0hPTzffv2/fPlq0aIGbmxvu7u7Url2bXbt2AXD69Gk6dOiAl5cXLi4uVK5cmeXLl5uv3bBhA/Xq1cNoNBIQEMCoUaPIyMjIMY6oqCh69+5trtnT6XSMHz8eUGuk3nvvPXr16oWHh4c5mbtX7OPHj6dGjRrm4169evH000/z0UcfERAQgI+PD4MGDbK4Rti4xER1KQMAD6mZEQUkPR369gWTCbp352qTFgxdtBeTAl1rl6ZzrdJaR2gTrL5mJj09nWeffZaTJ0/y119/3XPlTKPRiNH4ENVxigLpSQ9+/YOyd1ZnFs2H3r17M2/ePLp37w7A119/TZ8+fYiKijKXyapBWLZsGQ0aNHi49yaf3NzcmD9/PoGBgRw4cIB+/frh5ubGW2+9BUD37t2pWbMms2fPxmAwEB0djb29PQCDBg0iLS2NjRs34uLiwsGDB801IefPn6ddu3b06tWLb775hsOHD9OvXz8cHR3NScqdGjVqxPTp0xk7dixHjqiLst1Zq/J///d/jBkzhnffffe+Y8/J+vXrCQgIYP369Rw/fpxu3bpRo0aNbLVdwkaVLAmf1oMLh8Ax779DQty3jz6C/fvBxwfTx1N5fXE0MQmplPNzZULHylpHZzOsOpnJSmSOHTvG+vXr8fF5BP8NpSfBB4GF/zx3e/sCOOSvFqRHjx6MHj2aU6dOodPp2LJlC4sWLbJIZuzs7Jg/fz79+vXj888/p1atWjRr1oznnnuOatWqWTzeyJEjLb7QAf744w+aN2/+QC/pzscKDQ3ljTfeYPHixeaE4MyZM4wYMYKIiAgAypUrZy5/5swZunTpQtWqVQEID7+99sisWbMICgpi5syZ6HQ6IiIiuHDhAiNHjmTs2LHo71rN2MHBAQ8PD3Q6Hf7+/tnifPzxx3nzzTfzFXtOvLy8mDlzJgaDgYiICNq3b8+6deskmSlK0hLBQQdGaWIUBeDoUcjqFjFtGrMPxrPp2FUc7fV81r0Wzg5W/RVtVTR9pxITEzl+/Lj5+OTJk0RHR+Pt7U1gYCDPPPMMe/bs4Y8//iAzM5NLly4B4O3tfV/9Goo6X19f2rdvz4IFC1AUhfbt2+Pr65utXJcuXWjfvj2bNm1i27ZtrFy5kilTpvDll19adBQeMWKExTFAqVKlHji+n3/+menTp3P8+HESExPJyMiwqFkbPnw4ffv25dtvv6Vly5Z07dqVMmXUBfxee+01Xn31VVavXk3Lli3p0qWLOfk6dOgQDRs2RHdHTVbjxo1JTEzk3Llz+R7pVqdOnXzHnpPKlStjMNwebRAQEMCBAwfyFYuwcmlZyxlIzYwoAFFRajNT69b806IDU2dtBWDiU1UoX1L6yeSHpsnMrl27aNGihfl4+PDhAPTs2ZPx48fz22+/AVj0TQC1Ov9Bawvuyd5ZrSV51OydH+iyPn36MHjwYAA+++yzXMs5OjrSqlUrWrVqxdixY+nbty/jxo2zSF58fX0pW7ZglpHfvn07zz33HBMmTCAyMhIPDw8WLVrExx9/bC4zfvx4XnjhBf78809WrFjBuHHjWLRoEZ06daJv375ERkby559/snr1aiZNmsTHH3/MkCFDUBTFIpEBUG51zLz7/P24u1/Q/cSek6wmsiw6nQ6TyZTveISV2roVvrkE/noYLjUzogC88grUrEm6tw9v/XKATJNC+6oBdK0j/WTyS9Nkpnnz5uYvoZzkdV+h0eny3dyjpTZt2pCWpg4XjYyMvO/rKlWqZDHjckHbsmULISEhvPPOO+Zzp0+fzlaufPnylC9fntdff53nn3+eefPm0alTJ0AdsTVgwAAGDBjA6NGjmTt3LkOGDKFSpUr88ssvFknN1q1bcXNzy7UmycHBgcw7J6QqgNhFMXP0EBxKh1SDLDQpCk7duny14QQHL8bj4WTP+KcqP9A/ZcWdNMjZOIPBwKFDh8z7d7t27Rpdu3alT58+VKtWDTc3N3bt2sWUKVPo2LGjRdmEhARzU14WZ2fnPJtXrly5km3iOH9/f8qWLcuZM2dYtGgRdevW5c8//2Tp0qXmMsnJyYwYMYJnnnmGsLAwzp07x86dO+nSpQsAw4YNo23btpQvX57Y2Fj++usvKlasCKhz6UyfPp0hQ4YwePBgjhw5wrhx4xg+fHi2/jJZQkNDSUxMZN26dVSvXh1nZ2ecnXOuDbtX7KKYun5F3Rpt6x8eYYUWLoSaNSEigpNXbzJtjToM+932FSnhJvPJPAibGJot8ubu7p5rwuHq6kr9+vWZNm0aTZs2pUqVKowZM4Z+/fplW0Zi7NixBAQEWNzy6vAK8MMPP1CzZk2L2+eff07Hjh15/fXXGTx4MDVq1GDr1q2MGTPGfJ3BYODatWu89NJLlC9fnmeffZa2bdua5wjKzMxk0KBBVKxYkTZt2lChQgXzsPxSpUqxfPlyduzYQfXq1RkwYAAvv/xyts7Ld2rUqBEDBgygW7dulChRgilTpuRa9l6xi2LqxjV16+SQ75GHQpidOwd9+kCVKijR0Yxesp/UDBNNyvryTG1pXnpQOkWTtpxHJz4+Hg8PD+Li4rJ94aekpHDy5EnCwsJwdHTUKEJRnMln0Ia89jLM+BqaeMGm6/cuL0ROevWCBQugSRMWf/wdI5f8g6O9ntXDmhHs82B9J4uqvL6/7yY1M0IIcT/iYtWtiySd4gFFR8M33wBwfcL7vL/8MABvtKogicxDkmRGCCHuR9Y6by7ypSMegKLAm2+q227dmBDjRnxKBlVLedC7cajW0dk8SWaEEOJ+ZCUzrpLMiAewciWsWwcODhwcMppfoy+g08GkzlWxM8hX8cOS0UxCCHE/PugLvx6GipW0jkTYmsxMuDWYQhk8mHEHbgLQuWZpqpTy0DKyIkPSQSGEuB/pN9WlDFy9tI5E2Jr0dHj+eShfnnWd+7HzVCyO9nrejCyvdWRFhiQzQghxP1IT1a1MmCfyy9ER3n6btH8O8t7WiwD0eyycAA8njQMrOqSZSQgh7sdHP8OlZIi4v5mkhbjbDzvOcOpaEr6uDvRvVkbrcIoUqZkRQoj7seEQRKcDMkOruE+Kok6Q9+uvxN1M5ZN1xwB4vVV5XI1Sl1CQJJkRQoh7MZkgOV3d98q+Mr0QOVq5EubNgxdeYN7ve4hNSqecnyvd6gRpHVmRI8mMEELcy82bt/c9S2gXh7AdigLvvQdAQp9+zDpwA4C321WUodiFQN5RG9SrVy90Oh0DBgzIdt/AgQPR6XT06tXLfC4mJob+/fsTHByM0WjE39+fyMhItm3bZi4TGhqKTqfLdvvwww9zjaN58+YMGzasIF9aoch6v/K6Pajx48dTo0aNggtWWKesOWb0gLu3pqEIG7FhA2zdCkYjs2t1JC3TRINwb5pXkGS4MEijnY0KCgpi0aJFTJs2DScntUd8SkoKCxcuJDg42KJsly5dSE9PZ8GCBYSHh3P58mXWrVvH9euW68tMnDiRfv36WZxzc7P9kRuffPKJRVIWEBDAvHnzaNOmjYZRCZuSkKBujTpwtP3fCfEI3KqVSerRiy9PpAAw9InyD/XPk8id1MzYqFq1ahEcHMySJUvM55YsWUJQUBA1a9Y0n7tx4wabN29m8uTJtGjRgpCQEOrVq8fo0aNp3769xWO6ubnh7+9vcXNxcXngGEeOHEn58uVxdnYmPDycMWPGkJ6ebr5/3759tGjRAjc3N9zd3alduza7du0C4PTp03To0AEvLy9cXFyoXLkyy5cvN1+7YcMG6tWrh9FoJCAggFGjRpGRkZFjHB4eHhavCcDT09N8nJmZSbdu3fDy8sLHx4eOHTty6tQp8/VRUVHUq1cPFxcXPD09ady4MadPn2b+/PlMmDCBffv2mWt45s+f/8Dvl7BiWTUzDsjQbHFv27ers/3a2fFVo2dIyzBRJ8SLBuFSq1dYpGYmN3e2kd/NYFDnDbifsno9ODnlXfYBE4bevXszb948unfvDsDXX39Nnz59iIqKMpdxdXXF1dWVZcuW0aBBA4zGRzcSw83Njfnz5xMYGMiBAwfo168fbm5uvHVrJszu3btTs2ZNZs+ejcFgIDo6Gnt7ewAGDRpEWloaGzduxMXFhYMHD+Lq6grA+fPnadeuHb169eKbb77h8OHD9OvXD0dHR8aPH5+vGJOSkmjRogWPPfYYGzduxM7Ojvfee482bdqwf/9+9Ho9Tz/9NP369WPhwoWkpaWxY8cOdDod3bp1459//mHlypWsXbsWUBMnUQRlJTNGHThIMiPuYdIkAFKf786s/9R/sgY/XlZqZQqTUsTFxcUpgBIXF5ftvuTkZOXgwYNKcnJy9gvV7ls539q1syzr7Jx72WbNLMv6+mYvk089e/ZUOnbsqFy5ckUxGo3KyZMnlVOnTimOjo7KlStXlI4dOyo9e/Y0l//5558VLy8vxdHRUWnUqJEyevRoZd++fRaPGRISojg4OCguLi4Wt/Xr1+caR7NmzZShQ4fed9xTpkxRateubT52c3NT5s+fn2PZqlWrKuPHj8/xvrffflupUKGCYjKZzOc+++wzxdXVVcnMzLxnHICydOlSRVEU5auvvsr2WKmpqYqTk5OyatUq5dq1awqgREVF5fhY48aNU6pXr37P58xNnp9BYT0yMhRllLuivOmqKPGXtI5GWLtFixSlUSPly7l/KiEj/1Ce/HSTxd8YcX/y+v6+mzQz2TBfX1/at2/PggULmDdvHu3bt8fXN/uw0S5dunDhwgV+++03IiMjiYqKolatWtmaREaMGEF0dLTFrX79+g8c388//0yTJk3w9/fH1dWVMWPGcObMGfP9w4cPp2/fvrRs2ZIPP/yQEydOmO977bXXeO+992jcuDHjxo1j//795vsOHTpEw4YNLf7Lady4MYmJiZw7dy5fMe7evZvjx4/j5uZmrsXy9vYmJSWFEydO4O3tTa9evYiMjKRDhw588sknXLx48YHfE2GjMpLV6WVc9GB01ToaYe26dSNuTRTTzhoAqZV5FCSZyU1iYu63X36xLBsTk3vZFSssy546lb3MQ+jTpw/z589nwYIF9OnTJ9dyjo6OtGrVirFjx7J161Z69erFuHHjLMr4+vpStmxZi5uT04NNt719+3aee+452rZtyx9//MHevXt55513SEtLM5cZP348//77L+3bt+evv/6iUqVKLF26FIC+ffvy33//0aNHDw4cOECdOnWYMWMGAIqiZPvDoCgKQL7/YJhMJmrXrp0tiTt69CgvvPACAPPmzWPbtm00atSIxYsXU758ebZv3/5A74uwUWm3fk91erCXVbPFvS3YdorE1AwqlHSjVcWSWodT5EkykxsXl9xvd/aXuVfZu5OBnMo8hDZt2pCWlkZaWhqRkZH3fV2lSpW4mVdfn4e0ZcsWQkJCeOedd6hTpw7lypXj9OnT2cqVL1+e119/ndWrV9O5c2fmzZtnvi8oKIgBAwawZMkS3njjDebOnWuOfevWreYEBmDr1q24ublRqlSpfMVZq1Ytjh07hp+fX7ZE7s7+LzVr1mT06NFs3bqVKlWq8MMPPwDg4OBAZqZMb1/kLfkFfkuGwwaQ/7BFbn76CT76iMSLMXy95SSg1sro9fKZKWzSAdjGGQwGDh06ZN6/27Vr1+jatSt9+vShWrVquLm5sWvXLqZMmULHjh0tyiYkJHDp0iWLc87Ozri7u+f6/FeuXCE6OtrinL+/P2XLluXMmTMsWrSIunXr8ueff5prXQCSk5MZMWIEzzzzDGFhYZw7d46dO3fSpUsXAIYNG0bbtm0pX748sbGx/PXXX1SsWBFQ59KZPn06Q4YMYfDgwRw5coRx48YxfPhw9Pr85efdu3fn//7v/+jYsSMTJ06kdOnSnDlzhiVLljBixAjS09OZM2cOTz31FIGBgRw5coSjR4/y0ksvAer8PCdPniQ6OprSpUvj5ub2SDtZi0dkx07Ymw5uyr3LiuJJUWDCBPj3X/afiuWGayPCfV1oVzVA68iKh8LuwKO1B+4AbMWyOgDn5s4OwCkpKcqoUaOUWrVqKR4eHoqzs7NSoUIF5d1331WSkpLM14SEhChAtlv//v1zfZ5mzZrleM24ceMURVGUESNGKD4+Poqrq6vSrVs3Zdq0aYqHh4eiKGon2+eee04JCgpSHBwclMDAQGXw4MHmn8XgwYOVMmXKKEajUSlRooTSo0cP5erVq+bnjoqKUurWras4ODgo/v7+ysiRI5X09PT7ev+4owOwoijKxYsXlZdeeknx9fVVjEajEh4ervTr10+Ji4tTLl26pDz99NNKQECA4uDgoISEhChjx441dzROSUlRunTponh6eiqAMm/evPuKIYutfgaLnRefVjvrty2ldSTCWv31l6KAYnJ2Vh5/d6kSMvIP5cedZ7SOyqblpwOwTlGUIv2vRnx8PB4eHsTFxWWrYUhJSeHkyZOEhYXheHfTkRCPgHwGbcRTLeD3KOhaFn48pnU0whp17gxLl3Kqaw+ah3fD19XI1lGP42AnvTkeVF7f33eTd1kIIe4l4VYHYFcZySRycPo0/PorANMrtAage/1gSWQeIXmnhRDiXrKWM3CTZEbkYPZsMJlIbNyUZele2Ol1dK8ffO/rRIGRZEYIIe4l8dbIP3eZ4VncJTkZbo20/Knh0wC0qxqAn7s0Gz9KkswIIcS93ExWt/dotxfFUGwstGpFZrnyTLYvB0DPRqHaxlQMSTIDFPE+0MKKyWfPRkx7AV53harltI5EWJvAQFi0iC9m/UqKSUe10h7UCvbUOqpip1gnM1mLGiYlJWkciSiusj57WZ9FYaUMaeCuB1cvrSMRVigj08S3O88D0LNhqCxdoIFiPWmewWDA09OTmJgYQJ0gTj6E4lFQFIWkpCRiYmLw9PTMccJDYUVSb3UANsqK2eIOa9ZA6dKszvDkYlwKPi4OPFldJsnTQrFOZkCdrRYwJzRCPEqenp7mz6CwUomJMHszpKXA0w+3/IgoQkwm6NcPTp9m36CPwDWCF+oHY7STf0y0UOyTGZ1OR0BAAH5+fqSnp2sdjihG7O3tpUbGFly/DhvPgAFwktFM4pb16+H0aTLdPZhvDLs1HDtE66iKrWKfzGQxGAzyxSKEyC4+Xt0addLMJG67tSju3oatSbU30q5ySfw9ZDi2Vop1B2AhhLinrAnzjICDTJongLg4WLIEgOnBTQB4tk6QlhEVe5LMCCFEXrJqZhykZkbc8uOPkJxMQng5NnuF4+/uyGPlSmgdVbEmyYwQQuTlxg11K81MIsutJqbltSNBp6NzrVIY9DISVkuSzAghRF5uXFO3kswIUDuEHz2KYjDwccn6AHSVJibNSQdgIYTIS+wVdWvUgZ108Cz2vL3h/HmWzllKzHk36oZ6EeYrQ/a1pmnNzMaNG+nQoQOBgYHodDqWLVtmcb+iKIwfP57AwECcnJxo3rw5//77rzbBCiGKpxc6wTBX6FACZFJNASgODsxIVeeH6lpbamWsgabJzM2bN6levTozZ87M8f4pU6YwdepUZs6cyc6dO/H396dVq1YkZI0uEEKIwqZPBw89lJClDIq9pCRQFHafjuXk1Zs42RtoV01m/LUGmjYztW3blrZt2+Z4n6IoTJ8+nXfeeYfOnTsDsGDBAkqWLMkPP/xA//79c7wuNTWV1NRU83F81kgEIYR4EGmylIG4ZcQIWLmSg50HgaEC7asF4GqU3hrWwGo7AJ88eZJLly7RunVr8zmj0UizZs3YunVrrtdNmjQJDw8P8y0oSKoAhRAP4bufYVUKnM3UOhKhpYwM+Pln+O8/Nl9IBqBr7dIaByWyWG0yc+nSJQBKlixpcb5kyZLm+3IyevRo4uLizLezZ88WapxCiCJu7VbYngZXMrSORGgpKgpiYkj18OKvwCqE+DhTL8xb66jELVZfP3b3KtaKouS5srXRaMRoNBZ2WEKI4iIxUd26STNTsbZ4MQCbqjUlw2BH19ql8/wuEo+W1dbMZK0kfHctTExMTLbaGiGEKDSJN9Wtu7u2cQjtpKWZly/4qrQ6t0ynWtLEZE2sNpkJCwvD39+fNWvWmM+lpaWxYcMGGjVqpGFkQohiJVHtH4GHp6ZhCA2tXQvXr5PkXYK/S1embqgXpTydtI5K3EHTZqbExESOHz9uPj558iTR0dF4e3sTHBzMsGHD+OCDDyhXrhzlypXjgw8+wNnZmRdeeEHDqIUQxUpSirr1kKHZxdatJqa/qjbDpDfwZLVAjQMSd9M0mdm1axctWrQwHw8fPhyAnj17Mn/+fN566y2Sk5MZOHAgsbGx1K9fn9WrV+MmbddCiEdBUeDmrakePKWzZ7HVty+JOjvmmiqj10Hbqv5aRyTuolMURdE6iMIUHx+Ph4cHcXFxuEubtxAiPxITb3f83TgLHntV23iEZmZFHWfKyiM0LuvD930baB1OsZCf72+rH80khBCacXaGaU/A4e3g4at1NEJDv++7CCBNTFbKajsACyGE5vR6cM4Af4PMAFwc3bwJb7zBuT/XcehCHHZ6HW0qSxOTNZJkRggh8pJ6a54ZSWaKn+XLYepU3Pr2AuCxcr54uThoG5PIkTQzCSFEbrZtg5//A990MLpqHY141G7NLbMiognodNLEZMWkZkYIIXKzYwdsjIUj6eAgyUyxkpam1swAi0vXwcFOT6vKMmGrtZJkRgghchNzWd0668BJ5pkpVqKiID6eRC9fogPL06JCCdwd7bWOSuRCkhkhhMjN5fPq1lkPjp6ahiIesWXLAFhXrj6KTk+H6tLEZM0kmRFCiNxk1cx4uqojm0TxYDLBb78BsDS4Lk72Bh6P8NM4KJEX+e0UQojcXI1Rt54y4Waxcu4cZGaS6uTM1pDqPFHRD2cHGS9jzeSnI4QQubl6Xd36yFIGxUpwMMq5c7z89kLSdPa0qSJzy1g7qZkRQojcxN5Qt74lNA1DPHonriWxWeeFg0FPs/Ly87d2kswIIURuvhgMA1ygTIjWkYhHJSUFMjNZ9a/aX6pRWR/cZBST1ZNkRgghcuOcCSUN4CXzixQbM2dCqVI4fDYDgEhZvsAmSDIjhBC5SbrVZ8ZZ+swUG8uWweXLnIlPQ6eDJyrKKCZbIMmMEELk5L//YO5fsCMNnH20jkY8Cpcvw9atAKwtW59awV74uTlqHJS4HzKaSQghcnLkCKw8Dv56SWaKi99/B0Xhv9CKXHQvQa9K0rxoK6RmRgghcnLtmrp11oGTNDMVC7/+CsCy4DoAtJb+MjZDkhkhhMjJ1avq1lknNTPFwc2bsGYNAKvK1qecnythvi4aByXulyQzQgiRk6ylDJx00gG4OFi/HlJTuVoikCO+IbSWFbJtivSZEUKInFy+oG5dDLLIZHFQtiwZb7zJt3uvgU5H60rSxGRLpGZGCCFycvmiuvVwkUUmi4OICDb1HcEndbvg7+5I1VIeWkck8kF+Q4UQIidXr6hbL1lksrhYffASAK0qlUSv12kcjcgPaWYSQoicTBkGCwdBRKjWkYjC9tdfmFJS2bjPBCD9ZWyQ1MwIIUROspYy8JO+E0Xe+++jb9+OVlt+w9VoR/0wGb1maySZEUKInJiXMvDSNg5RuOLjYdMmANaXqUOTsr442MlXo62Rn5gQQtzt5k2Y9iNsTAVHGZZdpK1bB+npnC9RmtNegTweIWsx2SJJZoQQ4m6XL8OynbA5FVx9tY5GFKblywFYFVwLgGYVSmgZjXhAkswIIcTd7pz9V5YyKLoUxZzMrC9Th8qB7pR0l4UlbZEkM0IIcTdZyqB42L8fLlwg1ejIjqAq0sRkwySZEUKIu0kyUzxERQGwLaQ6qXYONK8gyYytknlmhBDibneumC3rMhVdr73G/kr1mPLDLryc7akR5Kl1ROIBSc2MEELczbzIpF5qZooynY4VmV4cLBlOs/IlMMisvzZLkhkhhLhb1iKTzjpwlDV6irL1h2MAaCH9ZWyaNDMJIcTd3noVjEvAywv0Bq2jEYVh2DCSz5zD3q0JusByNC0nQ7JtmdTMCCHE3RxvLWUQIGv0FEmKAj/9hNPSX3BLvUnNIE+8XBy0jko8BElmhBDibualDKTzb5F08CBcuECavZHdpSvJkOwiQJIZIYS428dz1aUMTK5aRyIKw+rVAPwdXEWGZBcRkswIIcSdFAUWLIf1qWDnrnU0ojDcSmaigmvg52akcqD8nG2dVSczGRkZvPvuu4SFheHk5ER4eDgTJ07EZDJpHZoQoqiKi4PMW39jSgRoG4soeKmpsGEDAJvDatK8Qgl0OhmSbeusejTT5MmT+fzzz1mwYAGVK1dm165d9O7dGw8PD4YOHap1eEKIoihr9l8HwFM6ABc5W7ZAcjLX3Lw54hvCa+WliakosOpkZtu2bXTs2JH27dsDEBoaysKFC9m1a5fGkQkhiiyL2X9lwrwiJz2dtFq1+SvNC71eR+Oy8jMuCqy6malJkyasW7eOo0ePArBv3z42b95Mu3btcr0mNTWV+Ph4i5sQQtw3i3WZZDRTkRMZya9fLOWtdq9RrbQnns4yJLsosOqamZEjRxIXF0dERAQGg4HMzEzef/99nn/++VyvmTRpEhMmTHiEUQohihRZZLLI23jsKopOT9NyvlqHIgqIVdfMLF68mO+++44ffviBPXv2sGDBAj766CMWLFiQ6zWjR48mLi7OfDt79uwjjFgIYfOykhknPThJzUyRcuECphtxbD52BYDHysusv0WFVdfMjBgxglGjRvHcc88BULVqVU6fPs2kSZPo2bNnjtcYjUaMRuOjDFMIUZT07gknxoGd1MwUOe+8g+6773iyRV+WNnxaVskuQqw6mUlKSkKvt6w8MhgMMjRbCFF4HEzgZwB04OSpdTSioCgKrF6NLiOD/7xL07CMD/YGq26cEPlg1clMhw4deP/99wkODqZy5crs3buXqVOn0qdPH61DE0IUVVlLGTh5yiKTRYl5CQMHdpWuxLvSX6ZIsepkZsaMGYwZM4aBAwcSExNDYGAg/fv3Z+zYsVqHJoQoqj77HDalQhNZyqBIWbMGgO1B6hIGj8kq2UWKVSczbm5uTJ8+nenTp2sdihCiuPjuF/gvFWo7ah2JKEi3ljDYEFKTIG8nQnycNQ5IFCRpMBRCiDvFxqlbH2mGKDJSUyEqCoBNYTV5rJwsYVDUSDIjhBBZTCaIS1T3/fy1jUUUnG3bzEsYHPUNkflliiCrbmYSQohHKi4OTIq6X1IWmSwyIiK48X/TmLnyIAaDnoZlJJkpaiSZEUKILHcuMukhCxAWGf7+rGrWmXlXy1E7yBMPJ3utIxIFTJqZhBAiiyxlUGRtPKr+bB+TJqYiSWpmhBAiy53JjCxlUDTs2oVp5y5OHnEGRx8Zkl1ESc2MEEJkefxxGFUBnnKSmpmi4rvv0A98le4bFuLmaEf10h5aRyQKgdTMCCFEFhcX8EgCo0GSmaJi3ToAtoTUoEG4D3ayhEGRJD9VIYTIkpkBKbfmmXGWZiabd/ky/PMPANuCq9KkrPSXKaokmRFCiCyzZ8DGVIgxgaOn1tGIh/XXXwAcLBlOrLMHjctKbVtRJcmMEEJk+fY7WJ8KcY5gkFZ4m7d2LQCbg6vj52akTAlZb6uokmRGCCGynD+vbv2kicnmKcrt/jKhNWhS1leWMCjC8pXMTJkyheTkZPPxxo0bSU1NNR8nJCQwcODAgotOCCEelcxMuHRF3Q+QCfNs3oULcPYs6QY7dpSuTCPpL1Ok5SuZGT16NAkJCebjJ598kvNZ/8kASUlJfPHFFwUXnRBCPCqXL0OmCXRAoKzLZPNKlSLu3CVe7PYeyQ6O0l+miMtXMqMoSp7HQghhs86eVbduOnCVidWKgu3XM/k7qArhJVwI8HDSOhxRiKTPjBBCwO1kxkMvc8wUEVuPqzM6N5aFJYs8SWaEEAJuJzPuOvAorW0s4uHs3w8NGxL0xScANJb+MkVevscefvnll7i6qsPbMjIymD9/Pr6+6gflzv40QghhU/r3h4RFcOVfcC+ldTTiYaxdC9u3UyY8HX31p2kYLjVtRV2+kpng4GDmzp1rPvb39+fbb7/NVkYIIWyOszO4xIHJAO6BWkcjHsatyfK2hFSnaikPPJztNQ5IFLZ8JTOnTp0qpDCEEEJjmemQcEndl2Ym25WeDhs2ALA1pAbNpImpWJA+M0IIAfD6ENiQAikGcJYvQJu1ezckJhLn5MYhv1Dp/FtM5CuZ+fvvv1mxYoXFuW+++YawsDD8/Px45ZVXLCbRE0IIm5CRAZ/NhahUcCoJevk/z2bdamLaGlQVe3s76oR6aRyQeBTy9Rs7fvx49u/fbz4+cOAAL7/8Mi1btmTUqFH8/vvvTJo0qcCDFEKIQnXxIphM6l/EUiFaRyMeRlYyE1KNOiFeONobNA5IPAr5Smaio6N54oknzMeLFi2ifv36zJ07l+HDh/Ppp5/y448/FniQQghRqO4clu0l/WVslqKAvz83XdzZGlxdhmQXI/nqABwbG0vJkiXNxxs2bKBNmzbm47p163I264+CEELYCnMyo5eRTLZMpyPzm29pNGElcSmZNCojQ7KLi3zVzJQsWZKTJ08CkJaWxp49e2jYsKH5/oSEBOztZQicEMLGnDunbt114C41M7bs4IV44lJNuDnaU7WUh9bhiEckX8lMmzZtGDVqFJs2bWL06NE4Ozvz2GOPme/fv38/ZcqUKfAghRCiUEnNTNFw7hxbj6srn9cP98bOIB25i4t8/aTfe+89DAYDzZo1Y+7cucyZMwcHBwfz/V9//TWtW7cu8CCFEKJQ3ZnMeMjsvzYpMRHCwnimc2M8khNoKEOyi5V89ZkpUaIEmzZtIi4uDldXVwwGy17iP/30E25ubgUaoBBCFLqvvwT/1eCMLGVgqzZvhowMkk064pzcaFxW+ssUJ/lKZvr06XNf5b7++usHCkYIITShJEAJPRgcZMI8W5W1hEFwNXxcHCjvJ/9YFyf5Smbmz59PSEgINWvWRFGUwopJCCEerfgL6tYtQCbMs1V3zC/ToIwPer1O44DEo5SvZGbAgAEsWrSI//77jz59+vDiiy/i7e1dWLEJIUThu3gR3hgDN1LhBRnJZJNiY2HPHgC2BVdjqAzJLnby9S/IrFmzuHjxIiNHjuT3338nKCiIZ599llWrVklNjRDCNh0/Dj+vhd1pMpLJVm3YAIrCCZ8gYtx8ZD2mYijf9alGo5Hnn3+eNWvWcPDgQSpXrszAgQMJCQkhMTGxMGIUQojCkzWSyUMvnX9t1R39ZQI9HAnxcdY4IPGo5auZ6W46nQ6dToeiKJhMpoKKSQghHh2LOWYkmbFJnTuz82wcK43laVjGF51O+ssUN/mumUlNTWXhwoW0atWKChUqcODAAWbOnMmZM2dwdXUtjBiFEKLw3Dn7r8wxY5uaN+e9lq+wNbSGLGFQTOWrZmbgwIEsWrSI4OBgevfuzaJFi/DxkQ+OEMKGSc2MzYtLTufAuRsANJL5ZYqlfCUzn3/+OcHBwYSFhbFhwwY2bNiQY7klS5YUSHBCCFHozpxRtx46SWZs0bJlHLueiX26nlL+XgR4OGkdkdBAvpqZXnrpJVq0aIGnpyceHh653grS+fPnefHFF/Hx8cHZ2ZkaNWqwe/fuAn0OIUQxdvZWMuNpBBcZBWNz3nyTOi8/Q6PT+2goTUzFVr4nzXuUYmNjady4MS1atGDFihX4+flx4sQJPD09H2kcQogiLGoRzHoawkuDdBy1LadPw4kTZOoN7CxdmckyJLvYeqjRTIVt8uTJBAUFMW/ePPO50NBQ7QISQhQ9phtQwgDewVpHIvJr/XoA9vmXJdHoLDUzxZhVz9v922+/UadOHbp27Yqfnx81a9Zk7ty5eV6TmppKfHy8xU0IIXIVf17dyoR5tmfdOgC2hlQnwt8NbxcHjQMSWrHqZOa///5j9uzZlCtXjlWrVjFgwABee+01vvnmm1yvmTRpkkX/naCgoEcYsRDCpqxfD+99DfvTZFi2rVGU2+sxBVejcVlpYirOrDqZMZlM1KpViw8++ICaNWvSv39/+vXrx+zZs3O9ZvTo0cTFxZlvZ7OGXQohxN22b4eV++G/TBnJZGuOHoULF0i1s2d3qYo0liHZxZpVJzMBAQFUqlTJ4lzFihU5kzWUMgdGoxF3d3eLmxBC5Mg8x4wMy7Y5UVEA7A6sSIbRkbqhsuhxcWbVHYAbN27MkSNHLM4dPXqUkJAQjSISQhQpFusySZ8Zm9KvH6tdg5m98iDVS3vg5mivdURCQ1ZdM/P666+zfft2PvjgA44fP84PP/zAnDlzGDRokNahCSGKgqxaXncdeJTWNhaRP3o9yw3+7C0VQSMZkl3sWXUyU7duXZYuXcrChQupUqUK//vf/5g+fTrdu3fXOjQhRFFw7lbNjJcjOEufC1uiKApbT1wDZAkDYeXNTABPPvkkTz75pNZhCCGKmqQkuB6r7pcqJRPm2ZL580lYuYayVCKubC1qBXtpHZHQmFXXzAghRKE5eVLdOgIlZQoHm/LLL7gv/oFKMf9RJ9QLR3uD1hEJjUkyI4QonipXhjWT4WUX8JT+MjYjIwNuLXK8LaS69JcRgCQzQojiLO0q+BpkJJMt2bULEhKIc3TloF8YjWQJA4EkM0KI4sy8lIHMMWMz7pj119XRgaqlPDQOSFgDq+8ALIQQhaJHDzizHmqZJJmxJeb1mKpRP9wbO4P8Ty6kZkYIURylpcHChbDxIuiQdZlsRXIybNkCqItLSn8ZkUWSGSFE8XPsGGRmggPgJksZ2Izz5zGVr8AF9xKc8C4t88sIM2lmEkIUPwcPqtsSenBwlQnzbEXZsuz6dT09Z6zHx9VIhZJuWkckrITUzAghip9Dh9RtCQOUKC8T5tmQLcevkuzgSMMyPujk5yZukZoZIUTxk1Uz46sH3wraxiLuT2oqmExsPXEVQPrLCAtSMyOEKH7ubGYqUV7bWMT9+f13FC8vOn/xPwCalJVkRtwmyYwQonhRFLh5U90vYYASEdrGI+7P2rXoUlNJsjMS7O1MsI+z1hEJKyLJjBCieNHp1NFM7/qBp06amWzF2rUAbA6tQWOplRF3kWRGCFH8xJ0FQwrYGcErVOtoxL2cPAknTpChN7CjdGUeKyfJjLAkyYwQovi5elTd+pQFg4yDsHq3Zv3dG1CBJEdnGobLUHphSX6LhRDFy+uvw+blEJEBlaTzr0241cS0JbQ6VQI98HJx0DggYW2kZkYIUbxs2gS7jkK6AiWkv4zVM5nMNTObQ2vQRJqYRA4kmRFCFB8m0x0T5uklmbEFaWkoo0axoWIjogMqyJBskSNpZhJCFB9nzkBSEhgAL5kwzyY4OnL8xVfoeSUCo52e2iFeWkckrJDUzAghio+syfJ89GAwqB2AhdXbfFyd9bdemDeO9gaNoxHWSGpmhBDFx50z/3qFgr2jpuGIe0hNhYUL+fe6L6CT+WVErqRmRghRfGT1l/E1SBOTLdi6FXr3ZuS4l0BRpL+MyJXUzAghig9HR/BwghLImky2YNUqADaF1MDb1UilAHeNAxLWSpIZIUTx8dlnUO8M/LdB1mSyBbeSmQ1htWhUxge9XqdxQMJaSTOTEKJ4uXJEXZ9Jmpms26VLEB0NwObQmtLEJPIkNTNCiOJBUSDlBiReVo99y2kajriH1asBOOBflmsunjJZnsiT1MwIIYqHGTOgfGXYmArupcBR+l9YtZUrAbWJKcTHmdJezhoHJKyZJDNCiOLhwAE4d1FdxsBXOv9aNUUxL2GwMawWTcuV0DggYe0kmRFCFA9bt6rbQIMsY2DtdDqUf/5h/PPvsCcwguYVJJkReZM+M0KIou/atdsT5gVLMmMLTumcmR/cEAeDngbhPlqHI6yc1MwIIYq+LVvUrZ8RXGRNJluw4UgMAHXDvHAxyv/dIm/yCRFCFH2bNqnbUiZ1KzUz1uvGDejUCVfviujLtKFZeWliEvcmNTNCiKIvK5kJMYCzD7jIMF+rtW4dREVRa8PvmPQGmpX30zoiYQOkZkYIUfQ1bQrxMRB8RZqYrN2tWX+jQmvh7+5I+ZKuGgckbIHUzAghir4pU2BGb/DSy5pM1kxRzPPLbAyrRbPyJdDpZAkDcW+SzAghiodL+9VtiYraxiFyd/gwnD1Lmp0924Or0EyGZIv7JMmMEKJoi46GxEQ487d6HFxf03BEHm7VymwvXYV0oxONZT0mcZ8kmRFCFF0ZGdCkCXh7wcVYsHeBklW1jkrk5o5VsmsGeeLhZK9xQMJWSDIjhCi6oqPh5k1wdAAvHQTVBYOMe7BKigJeXqQ6OLIhvLYMyRb5YlPJzKRJk9DpdAwbNkzrUIQQtiBrSHY5H9DpILihtvGI3Ol0pH/3PQ3f/JHjPkHSX0bki838i7Jz507mzJlDtWrVtA5FCGErspKZgFR1G9xAu1jEPe05Hcv1TD3erg5UCfTQOhxhQ2yiZiYxMZHu3bszd+5cvLy88iybmppKfHy8xU0IUQwpCmzerO77JYLOAKXqaBuTyJnJBCdOsOHoFQCalvNFr5ch2eL+2UQyM2jQINq3b0/Lli3vWXbSpEl4eHiYb0FBQY8gQiGE1TlyBK5cAQd7daXsgGpglAnYrNKOHVC2LE8N6AKKIk1MIt+sPplZtGgRe/bsYdKkSfdVfvTo0cTFxZlvZ8+eLeQIhRBWKatWprwf2El/Gav2++8AHHfyQafX0bScJDMif6y6z8zZs2cZOnQoq1evxtHR8b6uMRqNGI3GQo5MCGH1Hn8cpk+H/bOABOkvY81uJTNry9ajdrAXPq7yN1zkj1XXzOzevZuYmBhq166NnZ0ddnZ2bNiwgU8//RQ7OzsyMzO1DlEIYa3Cw+GVnhB0WT0OkmTGKp06BQcOkKk3sD68Dk9ULKl1RMIGWXXNzBNPPMGBAwcszvXu3ZuIiAhGjhyJwWDQKDIhhE04txNQwDsc3ORL0irdqpXZXaoicU5utKokq2SL/LPqZMbNzY0qVapYnHNxccHHxyfbeSGEMFu2TO3863NCPZb+MtbrVjKzpkw9Qn2cKVNCOmmL/LPqZEYIIR7I5MmwfTu8UBHKIf1lrFV8PERFAbCubD1aViwpq2SLB2JzyUzUrQ++EELk6ORJNZHR66F0jHpOamask9FI5uIf+ebjH/jPpzQfVJKmQPFgbC6ZEUKIPC1erG4b1ganI+DsAz5ltY1J5MxoZE/NpkxoYo+Hkz11QvKeFFWI3Fj1aCYhhMi3hQvVbZNwdRvcUF2XSViltQfV0WYtKpTAziBfSeLBSM2MEKLoOHgQ9u8He3sokwbnkf4y1mrvXliyhFOJQWAsRUtpYhIPQdJgIUTRsWiRum3dGq7vVfelv4x1+v57eO892q7+AXuDjqblZdZf8eAkmRFCFB2XLqkdf9s3heTrYOcI/tW0jkrcTVHgp58AWFGhMQ3CfXB3tNc4KGHLJJkRQhQdc+bAxYsQmqQehzcHOwdNQxI52LEDzpwh2ehMVFhtnoiQifLEw5FkRghRtJQoAcfVidio3FnbWETObtXKrClTl1R7oyxhIB6aJDNCCNtnMsH58+r+pQNw7TgYjFChrbZxiezuaGL6s0JjIvzdCPJ21jgoYeskmRFC2L6tWyEoCDp2hH+XqOfKtQJHd23jEtndamJKcVSbmFpX9tc6IlEEyNBsIYTt++EH9T9+T0/451YyU0WamKzSmTOYfHxYW7IKqfZGnqwWoHVEogiQmhkhhG27fBnmz1f329aHG6fB3hnKt9E0LJGLrl1Z9udOxj7xCuX8XClf0k3riEQRIMmMEMK2TZkCyclQvz54nlPPlY8EBxdt4xK5+uPQVa47e9BeamVEAZFkRghhuy5dgtmz1f2xY+Hgr+q+jGKyTufPE3czjU3HrgDQvqokM6JgSDIjhLBdWbUyDRpAZW+IPwcOrmrnX2FdFAUaN8aubDhhl05SoaQb5aSJSRQQSWaEELYpPR1+vzWfzIQJcHCpul+hHdg7aReXyNnOnXD6NIbY65z2DJAmJlGgJJkRQtgme3s4cEAdyfTE4/DvMvW8jGKyTj/+CMCacHWiPElmREGSZEYIYbscHeH55+Hsdki8BEYPKPO41lGJu5lM8PPPAPxRoQkVA9wpU8JV46BEUSLJjBDC9uzeDZmZt4//+UXdVnwS7IzaxCRyt2kTnD5NsqMzG8JrydwyosBJMiOEsC2nT0PjxlClCly9ColXIHqhel+1Z7WNTeTs1jxAv1V4jBR7R9rJKCZRwCSZEULYjowMePFFSE2FkiXBxwe2zYCMZChVG8KaaR2huFtionktph+rPEHlQHfCfGUOIFGwJJkRQtiOiRNh82Zwc4OvvoKk67DjS/W+ZiNBp9M2PpGdiwusXs3vbV9id6mK0vFXFApJZoQQtmH9enjvPXV/zhwoUwa2zYT0mxBQA8q11jQ8kQudjstVajG0+rOg08lEeaJQSDIjhLB+V66ozUuKAn36wHPP3aqVmaPeL7UyVm3JnvOYFKgT4kWIjzQxiYInq2YLIazfa6/BhQsQEQGffqqe2z4b0hKhZFWo0Fbb+ETOPv4Y5dgxdrrVB4MfXeuU1joiUURJMiOEsH4ffAAXL6qJjIsLJN+Avz9X72v2ltTKWCOTCWbMQHf6NK4d3HGqHkD7aoFaRyWKKElmhBDWLyxM7TOTlbT8/QWkxoNfJYh4UtvYRM42bIDTp0lxdmVVuQY8WTUAV6N85YjCIX1mhBDW68iR2/tZiUxKHGz/TN1v9hbo5c+YVcqaWybiMVLtjdLEJAqV/BUQQlin33+HihVhyBC142+W5W+pCU2JCKjYUbv4RO4SEszLFyys9ATB3s7UD/PWOChRlEkyI4SwPklJaqdfRVH7yGTVyhz4GfYvAp0eOnwitTLW6qefICmJ8yWD2RtYga61S6OTfk2iEMlfAiGE9fngAzh1CoKCYMwY9VzsafjjdXW/6VsQ3ECz8EQeFAVmzgTg24jH0el1dKktTUyicElvLCGEdTl6FP7v/9T9Tz5Ra2YyM2BJP7XTb1B9aDpC2xhF7jIy4KmniLsQw6LqrWlS1pdATyetoxJFnCQzQgjroSgweDCkpUHbtvD00+r5TR/B2b/B6A6d54JB/nRZLXt7MseOo519Y24kpNG1TpDWEYliQJqZhBDWY8UKWLMGjEaYMUPtK3Pmb9gwWb2//VTwCtE2RnFPW09c5XxCGu6OdrSuVFLrcEQxIP/eCCGsx6VL6mrYzz6rrr2UngxL+4NigmrdoFpXrSMUefnqKyhRgu9j1QTmqRqBONobNA5KFAeSzAghrEefPtCrFyQnq8ebpkLsSXALhHYfaRqauIebN+HNN+HGDZKfnQBhtenZMFTrqEQxIc1MQgjroternX6vHIXN09RzbSeDo7u2cYm8ffst3LjBtYBgNobWpGn5EpQr6aZ1VKKYkGRGCGEdYmLU9XxA7Qj853AwpUO5SKjYQdvYRN5MJnXkGTCnWjsUnZ4+jUO1jUkUK9LMJISwDk89BadPw+LF4HERTm0COydoN0UWkrR2a9bA4cOkObvyfcXHKevnSrPyJbSOShQjVl0zM2nSJOrWrYubmxt+fn48/fTTHLlzrRYhRNFw5Qrs2KF2AC7lC6veVs83ewu8QjUNTdyHW7Uyy2q2JtHoTJ/GYTLjr3ikrDqZ2bBhA4MGDWL79u2sWbOGjIwMWrduzc2bN7UOTQhRkFauVJuWatSAg3Mg6aq69lLDwVpHJu5l/35YsQJFp2Nm5bZ4OdvTuVYpraMSxYxVNzOtXLnS4njevHn4+fmxe/dumjZtqlFUQogCt3y5un2sFuyep+63nwp2DtrFJO5PSgrUrMk2vRdnvAIYXD9EhmOLR86qk5m7xcXFAeDtnfvqq6mpqaSmppqP4+PjCz0uIcRDyMiAVavU/eAkSAQqd4bQxpqGJe5TvXrs/3Udr0xdi71BR4+GMqmhePSsupnpToqiMHz4cJo0aUKVKlVyLTdp0iQ8PDzMt6AgmUpbCKu2fTvExoK3NxCtnqvWTcuIRD59teUUiUZnnqwWSEl3R63DEcWQzSQzgwcPZv/+/SxcuDDPcqNHjyYuLs58O3v27COKUAjxQLKamJrWg8QLYO8M4c20jUnc286d8MEHnDsTw5/7LwLwcpMwjYMSxZVNNDMNGTKE3377jY0bN1K6dN5LyRuNRoxG4yOKTAjx0Dp3VpuavC5BKlD2CbCXVZat3rvvwurVnN64n4waPWhS1pcqpTy0jkoUU1adzCiKwpAhQ1i6dClRUVGEhUnWL0SRU6eOepvVCGKAiCe1jkjcy+bNsHo1ip0do8NaAfBmZAWNgxLFmVUnM4MGDeKHH37g119/xc3NjUuXLgHg4eGBk5P85yZEkXH9JMT8CzoDlGutdTTiXsaMAWBL06c44+FPy4olqRHkqW1Moliz6mRm9uzZADRv3tzi/Lx58+jVq9ejD0gIUbDmzoXSpcHp1mSYIY3AOffRisIKrF8PUVGYHBx4q8KT6HTwRuvyWkclijmrTmYURdE6BCFEYYmLg2HDICkJxjVSz0W01zQkcQ8ZGfDGGwCsb9KRC+5+dKgWSMUAWQRUaMtmRjMJIYqYb79VE5mICsC/6rkK7TQNSdzD55/D3r1kuHvwVqWOGPQ6Xm9ZTuuohLDumhkhRBGlKDBrlrrfsQGwFPyrgpdMuGbVOnaE9etZ4FiGay6ePFurFOElXLWOSgipmRFCaGDDBjh0CFxcoNyttdYqSBOT1QsKYsvkL/hf6abYG3S89oTUygjrIMmMEOLRy6qVeeF5uLhJ3Zf+MtYrIQGA9EwT//vjIOh0vFAvmNJezhoHJoRKkhkhxKN14QIsXarut68OGcngEaw2Mwnrk5oK9epB9+788MduDl9KwMvZXmplhFWRPjNCiEfr3DkoX15di0k5pJ6LaAc6nbZxiZx9/DEcPkzm9evMDHwaDM683a4iPq4y07qwHpLMCCEerXr14J9/4PJ5WNBEPSdNTNbpyBF47z0Avuw4iCsGZ+qHefNM7byXlRHiUZNmJiHEo6fTwbk1kBwLHkEQ3EjriMTdUlKgWzdITuZKg8eY5FULB4Oe9ztVRSe1aMLKSDIjhHh0fv8dbt4Ekwm2faaea/AqGKSS2OqMGAH79mEqUYKXmg4EnY5Xm5ehrJ8MxRbWR5IZIcSjcegQPPUUhITA3qVw7RgYPaDWS1pHJu62dCnMnAnAtwMmckjnRrivC682L6NxYELkTP4dEkI8Gu+/r24bN4b9X6v7tXuC0U27mETOvL0hIIDz7bswPj0IgPc6VcHR3qBxYELkTGpmhBCFb/Nm+P57ta9M/65wejPo7aD+AK0jEzlp1oyYLTvoXLodigLP1wuiURlfraMSIleSzAghCldmJgwZou6//DIk/aXuV+kCHqW0i0tkd/o0ABmZJgavPsvlZBMR/m6M61BZ48CEyJskM0KIwjV3LkRHg6cnjBwI/y5TzzccrGFQIptPPoGICPjtNz5afZQdJ6/jarRjVvda0rwkrJ70mRFCFJ5r1+Cdd9T9iRPh+E+gZEJYMwiopm1s4rbFi+H110FROL7+bz43qsnL5C7VZCFJYROkZkYIUXgyM6FNG6hWDXq/AHu+Uc83ek3buMRt69ZBjx6gKCT0HUAXj6YA9GoUSvtqARoHJ8T9kZoZIUTh8fNTO/7evAk7Z0BaApSoCGWf0DoyAbB3L3TqBOnppHXuQreKzxIXk0T1IE/ebldR6+iEuG9SMyOEKHiZmZCefvv45hnY+JG632yErMNkDQ4dgrZtISGBzKbNeLHpIA7GJOHrauSzF2riYCdfD8J2yKdVCFHw3noL2rWD2FgwZcKvg8CUDuXbQuXOWkcnAObNg8uXMVWtxqvPjGHHxSQ8nOz5rm89Sns5ax2dEPkizUxCiIL15Zcwdaq6v2kT+J6G87vB6A5PTpVaGWsxaRImByMjApuz+kwKzg4G5vWuS4S/u9aRCZFvUjMjhCg4UVHw6qvq/oQJ0Lgy/KWuukzk++AeqFloAli1ytz8Z9Lpeav6M/xyJgUHg565L9WhVrCXxgEK8WAkmRFCFIwTJ6BLF8jIUFdbfucd+G0IZKRAeHOo2UPrCIsvk0ldTqJNG3j5ZVJS0xm8cA8/7z6HQa9jxgs1aVxWZvgVtkuamYQQDy8uDp58Eq5fh7p11f4Yu7+G01vA3gU6fCLNS1qJiYGXXlJrZYAkL19enLudPefisTfo+PjZGkRW9tc4SCEejiQzQoiH17cvHD4MpUrBsmVw9QCsGave13IceIVqGV3x9ddf0L07XLoETk7EvDeFLhmVOHsuHg8ne77oUZsG4T5aRynEQ5NmJiHEw5s4EcqWhd9/B91V+P4ZSE+CMo9D3X5aR1f8pKfDuHHQsqWayFSqxN5fVtMyvhxnrycT7O3MkoGNJJERRYYkM0KIB3Pu3O39ihXVeUtKu8C3nSAlDoLqQ7fvQC9/Zh65mzdh9mxQFDL7vMz/vfctnTfGEZ+SQa1gT5YObEQZWaZAFCHyV0YIkT8mE/zf/0GZMmozRpaEc/BNR0i6CgHV4YUfwcFFuziLm2vXQFHUfU9PmDmT8599RfuqL/HZ3xdRFHi2Tml+6NcAH1ejpqEKUdAkmRFC3L89e6BRI3VSvLQ0c6dS4s6riUzCBSgRAS8uBSdPTUMtNpKTYfp0NblcvBiAjEwTX5SsTYvzARy+lICPiwNzetRmyjPVZQVsUSRJB2AhxL3FxsKYMWrThckErq4wZQoMGABHV8GyVyHpGniFQY9l4CJ9MQpdcjLMmQOTJ8PFiwAo339PVM3HmbT8EEcvJwLQsmJJPuxSFV+pjRFFmCQzQoi8LV0K/fvDlSvq8fPPw0cfgZ8PrBwNf89Wz/tXhW7fg7ustFyoEhLUWZanTFE79wIEB3Nx8HBGetZl47ydAHg62zO6bQTP1glCJ8PiRREnyYwQIjtFsZwX5soViIiAzz6Dxx+HK0dh7rNw+YB6f4OB0HI82Ml//4WuTx/4+Wd1PySEi4NeZ2qpRvx8IAblWiwOBj09G4UwuEU5PJzttY1ViEdEkhkhhOrKFfjjD/jpJ2jcWJ3BF+Cpp+Drr9X5SlKuwvK3YPd8yEwFZx94ejaUj9Q09CIrLk6dt+fxxyEoSD3XuzfK/v0cfWkAk3zrEnUyDq7FANC+WgAjIyMI9pGFIkXxolOUrO7vRVN8fDweHh7ExcXh7i4LqAlhlpkJBw/C6tXw66+wZYvaHwYgMBDOnAHDrc6i8Rdh87TbSQyoc8g8PRvcZPbYApWQoM7X8+OPsGKF2tH67bfh/fe5kpDK73vPsXjXOY7EqH1i9DpoWyWAV5qGUz3IU9vYhShA+fn+lpoZIYoDRVGntS9Z8va5Bg1g1y7LcrVqQceOar8YTHDsLzjwM/y79HYSE9wQmo+CsGayREFBSUlR+8GsXAnr1qnHt5gqRPCPyZmp83aw6dhVMk3q/58uDgaerRtEn8ZhBHlLTYwo3iSZEaIoSk1V/7Nfv16tfTl4UP2CTEoCu1u/9lWrqhPdNWyoNiV17AgBJeDs3/DvTFjyKyTH3n5MSWIKhqKotV5nzsBjj6nn7O1h/Hh1rhggPbwMhx9rw49lGvNTqgcpGQocUTtgVw/ypFONQDrVKo2Hk/SJEQKkmUmIouXyZXX49OzZak3MnQwGOHoUwsPV49hY4CbE/ANntsLpbXBhL5jSb1/j4geVO0HVZ6B0XUliHsT16xAdDXv3wo4danPe+fNqU965c6DTcSkuhdgxEzgbl8rPJaqw2uBn8V4HeTvRqUYpOtYsJTP3imJDmpmEKK5mzID331f3S5eGHi9ChVAo5QE+erj0J/xzFK4cgSuH1WUH7uYWAGVbqglM6GOgl0nW7ktcHBw7BnXq3D737LNqh+q7mOzsuOpRgo/mbWbrlXTOxSaDcxO41Vpk0OuoHexF84gSPB7hR4WSbjK8Wog8SDIjhK1RFPU/+tWr1Y6izz4LL7yg3te7O6xcBq3KQOBliJ0DJzPgZC6PpdODT1kIbgDBjSCkIXiGSA1MXnbvVvsanToFJ0/evmXNwxMXR7qLK5fiUtA7eVIKiC1ZmuOlyrLbJ4wo33JEB5Qnxd4RjsYDaifeSoHu1Anxpm6oN03K+sqwaiHyQZIZIaxdZqba92XHjtu3WzO+AhB7Cly3wcV9cOkAPGkCzsK1W/frDGpti0cpcC+lJi8lKqjLDviUBXtHDV6UhjIyID5eXb8oaxHMnTvVpqDr19V+K1euqM10Wbe9e8Hbm7QMExlfzMV57hc5PvQ1D18GjfuFHY5+mBTwdW9K2tAniHe0bBoK8XGmcqA7lQLcqVbak1ohXrga5c+xEA/KJn57Zs2axf/93/9x8eJFKleuzPTp03ksq+OcELbKZFKH4V69qiYnFy/ChQtqfwo/L+j1DNy8AnGXoO2zkJF5+1o94K+H8vZQ4TjsuaPqxacchD0GYU2hVB1wD7TupiJFUROM1FR1GHJqqnpLSVG3VaveTjp274YTJ9T7kpMtb0lJmMZPIN3RkfRMBf2nn2L361L1PU5MRJeYiD4xEUPSTQDWr9tDnJcfyemZVJ3yGVV+WZBriC/9bwl73INITM3gmfNOtClTl3MeJTnrUZJzniU551GSM57+JBhvLaypgINBj2dYEGG+LoSXcCHc14XwEq5E+Lvh5ii1LkIUJKtPZhYvXsywYcOYNWsWjRs35osvvqBt27YcPHiQ4OBgzeKKi71K0uEDGC5czLVMRlgYeHoAoLtyBcO5c7mWzQwKRvFV17PRXb2G4eyZ3MuWLo1SooRa9noshtOnci8bWAqlpJ96cOMGdidza2+AzIAAFP9bc4YkJmJ37FjuZf38UEqVulU2CbtjR3IvW8IXpfStCb+SkrA/dCj3sr4+mIJD1IO0VOwP/HPrnuz91E1eXmSGhd26MAP73Xtul83q166YQFHUshXKq+dNJhy2bQOTgk65Na9KZqZ6nclEpqcHGdWqAOr9xlVr0aVnoDNloMvIhMx0yMhEl5FOprcHaS0aqM9jysBl7iL0N5PQpaWhS0uDlFT0KSnoklPJDPAguW9L9BnJ6DKScev7DbqkdHIUqIfED28fhwJGOyhlUG8BBrDXkebgR6pzKInB9UjyqkCCXx3sj51HF5sAVzPh7y2QYUIxZaJkZmKyd+Ba05aYFAWTAt4b1uJw9TJKeiZkZqhJRUYGZGaSqTdw9PmXyTSBSVEos+wH3E6dQJeRDhkZ6DIy0GWko0/PQEFh+ciPyFQUMk3w2PypBB3YhSEjHX1GBvqMdPQZ6Rhu3cbNXEE6ekwmhT4zR1P37zW5fia6Tl5BgoMzmSaF1xdNpt3OFbmWrZ9SnSuu3gCMWxtF792bcy373sK/OeGjfi6fSfYismw94hzdiHN05ZqzB1edPbnmom6P6L1ISc0A4JdqLVlbvy2+rkZKuBop4WakgZuRp9yMlPJyopSnE6W8nPB1MaLXS3OdEI+C1SczU6dO5eWXX6Zv374ATJ8+nVWrVjF79mwmTZqUrXxqaiqpqanm4/j4+EKJ6+Bv02i4aCqsTMm9UHdnKHvrLd6TBr/nUbarE1S69d/aP+nwS3LuZZ92hOoO6v6RdFiUR9n2jlDnVtn/MuDbpNzLtjJCo1vT0Z/LgK/yKNvcCM1ulb2cCZ/fzL1sYwdoeasp47oJZiTmXrauPbRzUvcTTfBxHmVr2EPHW2VTFfgwIfeyle3gmVu9K00K/C+PsuXt4Pk75u34XzyYcikbZoBkl9vHC+Mhlx+zfYwBx30n7jiRcWsLuOrATQ9uOnDVg6+eeMWJa4o71/AgosF/uF65CTcUOJ0GN0wQa8IhLZ6Lnok06z/s1oOe5M95r1Ep5r8cY4hx8eKpwd+aj3/67gOqnj+YY9kEByc6OdQzH3+z+CeqnNqbY9lMnZ5P6w4wH9eI/ofgozmXBVix5yypdurnsmViBnXveqw0gz2pdvakGew5dj6WG05qrdRelwC8g6qQZrAn2d5Iip2RFDsHUuwdSLEzkma4XePxS5Un2BVUmTQnF9IdnUl3dibdyZV0NzdMrm54OjnS2F6Pk72B9Bov8ZdDb5wd7HB2MODpaEdpoz1ujna4Odrh7mSPl7MDnk72uDvZY5AkRQirYtXJTFpaGrt372bUqFEW51u3bs3WrVtzvGbSpElMmDCh0GPT2TmQjt48ZUdO0hUD6Yr6Je5AZp5l0xQ70hX1i9lBMWGf1+NiR9qtsvYKONjlnsxkKAZSs8qSjEMej5uJgZRbZe2UVIx2uSczmejNZQ1KGo52uSczJvQk3yqrV9JxsgNy+S4w6W+X1SmZONvfkczospdNVFzMZd0cEnJ+XB2YDAbiFDfzKS/nxNtl79zqINNoIEbxxYQOBR2lfRMhE7VpR3fHVqcj3dPIIcqRiR4TemqE70WfYVI70OpB0d/exru78httScFIis7Ii1V/wiU5CcWkx5QKSqoOJQ5MMXDySjD9GkxDp1Of6ovNwyl1/SKKTqfWUel0mFz0KK46rnn6EeztrD6lTkdMQDBOBjDp9Jj0ehS9HkWnx6TTkeDiQbXSHuh0OvQ6OF+xBnovT0wGAya9AeXW1mQwkG505IkIP/R6teyZJ9qzOqYaisEOxWCHyc4Oxd4Oxc4exc6elxoEo9frMeh1XPYdzJIbz4G9PYqDA9g7gL0dir09OqORt8pEYLC3w6DXkdH6U5agoDM6gtEBvZ0d9gb1cez0Oqbrdbf29dgNaIidXoeLXk8Jg3q/nUGPnV6HvUHPMwYd9nZ6HG6dszPoc/1cCiGKDqueZ+bChQuUKlWKLVu20KhRI/P5Dz74gAULFnDkSPamjZxqZoKCgmSeGSGEEMKGFLl5Zu6eX0FRlFznXDAajRiNsnKvEEIIUVxYdR2sr68vBoOBS5cuWZyPiYmh5J1rzAghhBCi2LLqZMbBwYHatWuzZo3lSIc1a9ZYNDsJIYQQoviy+mam4cOH06NHD+rUqUPDhg2ZM2cOZ86cYcCAAfe+WAghhBBFntUnM926dePatWtMnDiRixcvUqVKFZYvX05ISIjWoQkhhBDCClj1aKaCIKtmCyGEELYnP9/fVt1nRgghhBDiXiSZEUIIIYRNk2RGCCGEEDZNkhkhhBBC2DRJZoQQQghh0ySZEUIIIYRNk2RGCCGEEDZNkhkhhBBC2DSrnwH4YWXNCRgfH69xJEIIIYS4X1nf2/czt2+RT2YSEhIACAoK0jgSIYQQQuRXQkICHh4eeZYp8ssZmEwmLly4gJubGzqdrkAfOz4+nqCgIM6ePVskl0qQ12f7ivprlNdn+4r6a5TX9+AURSEhIYHAwED0+rx7xRT5mhm9Xk/p0qUL9Tnc3d2L5Ic0i7w+21fUX6O8PttX1F+jvL4Hc68amSzSAVgIIYQQNk2SGSGEEELYNElmHoLRaGTcuHEYjUatQykU8vpsX1F/jfL6bF9Rf43y+h6NIt8BWAghhBBFm9TMCCGEEMKmSTIjhBBCCJsmyYwQQgghbJokM0IIIYSwaZLMFLDU1FRq1KiBTqcjOjpa63AKzFNPPUVwcDCOjo4EBATQo0cPLly4oHVYBebUqVO8/PLLhIWF4eTkRJkyZRg3bhxpaWlah1Zg3n//fRo1aoSzszOenp5ah/PQZs2aRVhYGI6OjtSuXZtNmzZpHVKB2rhxIx06dCAwMBCdTseyZcu0DqnATJo0ibp16+Lm5oafnx9PP/00R44c0TqsAjV79myqVatmnkyuYcOGrFixQuuwCs2kSZPQ6XQMGzZMk+eXZKaAvfXWWwQGBmodRoFr0aIFP/74I0eOHOGXX37hxIkTPPPMM1qHVWAOHz6MyWTiiy++4N9//2XatGl8/vnnvP3221qHVmDS0tLo2rUrr776qtahPLTFixczbNgw3nnnHfbu3ctjjz1G27ZtOXPmjNahFZibN29SvXp1Zs6cqXUoBW7Dhg0MGjSI7du3s2bNGjIyMmjdujU3b97UOrQCU7p0aT788EN27drFrl27ePzxx+nYsSP//vuv1qEVuJ07dzJnzhyqVaumXRCKKDDLly9XIiIilH///VcBlL1792odUqH59ddfFZ1Op6SlpWkdSqGZMmWKEhYWpnUYBW7evHmKh4eH1mE8lHr16ikDBgywOBcREaGMGjVKo4gKF6AsXbpU6zAKTUxMjAIoGzZs0DqUQuXl5aV8+eWXWodRoBISEpRy5copa9asUZo1a6YMHTpUkzikZqaAXL58mX79+vHtt9/i7OysdTiF6vr163z//fc0atQIe3t7rcMpNHFxcXh7e2sdhrhLWloau3fvpnXr1hbnW7duzdatWzWKSjyMuLg4gCL7+5aZmcmiRYu4efMmDRs21DqcAjVo0CDat29Py5YtNY1DkpkCoCgKvXr1YsCAAdSpU0frcArNyJEjcXFxwcfHhzNnzvDrr79qHVKhOXHiBDNmzGDAgAFahyLucvXqVTIzMylZsqTF+ZIlS3Lp0iWNohIPSlEUhg8fTpMmTahSpYrW4RSoAwcO4OrqitFoZMCAASxdupRKlSppHVaBWbRoEXv27GHSpElahyLJTF7Gjx+PTqfL87Zr1y5mzJhBfHw8o0eP1jrkfLnf15dlxIgR7N27l9WrV2MwGHjppZdQrHwC6fy+RoALFy7Qpk0bunbtSt++fTWK/P48yOsrKnQ6ncWxoijZzgnrN3jwYPbv38/ChQu1DqXAVahQgejoaLZv386rr75Kz549OXjwoNZhFYizZ88ydOhQvvvuOxwdHbUOR5YzyMvVq1e5evVqnmVCQ0N57rnn+P333y3+kGZmZmIwGOjevTsLFiwo7FAfyP2+vpw+qOfOnSMoKIitW7dadbVpfl/jhQsXaNGiBfXr12f+/Pno9dad7z/Iz3D+/PkMGzaMGzduFHJ0hSMtLQ1nZ2d++uknOnXqZD4/dOhQoqOj2bBhg4bRFQ6dTsfSpUt5+umntQ6lQA0ZMoRly5axceNGwsLCtA6n0LVs2ZIyZcrwxRdfaB3KQ1u2bBmdOnXCYDCYz2VmZqLT6dDr9aSmplrcV9jsHtkz2SBfX198fX3vWe7TTz/lvffeMx9fuHCByMhIFi9eTP369QszxIdyv68vJ1k5cGpqakGGVODy8xrPnz9PixYtqF27NvPmzbP6RAYe7mdoqxwcHKhduzZr1qyxSGbWrFlDx44dNYxM3C9FURgyZAhLly4lKiqqWCQyoL5ua/+beb+eeOIJDhw4YHGud+/eREREMHLkyEeayIAkMwUiODjY4tjV1RWAMmXKULp0aS1CKlA7duxgx44dNGnSBC8vL/777z/Gjh1LmTJlrLpWJj8uXLhA8+bNCQ4O5qOPPuLKlSvm+/z9/TWMrOCcOXOG69evc+bMGTIzM83zIJUtW9b8mbUVw4cPp0ePHtSpU4eGDRsyZ84czpw5U6T6OCUmJnL8+HHz8cmTJ4mOjsbb2zvb3xxbM2jQIH744Qd+/fVX3NzczH2dPDw8cHJy0ji6gvH222/Ttm1bgoKCSEhIYNGiRURFRbFy5UqtQysQbm5u2fo4ZfWp1KTvkyZjqIq4kydPFqmh2fv371datGiheHt7K0ajUQkNDVUGDBignDt3TuvQCsy8efMUIMdbUdGzZ88cX9/69eu1Du2BfPbZZ0pISIji4OCg1KpVq8gN612/fn2OP6+ePXtqHdpDy+13bd68eVqHVmD69Olj/nyWKFFCeeKJJ5TVq1drHVah0nJotvSZEUIIIYRNs/5OAUIIIYQQeZBkRgghhBA2TZIZIYQQQtg0SWaEEEIIYdMkmRFCCCGETZNkRgghhBA2TZIZIYQQQtg0SWaEEEIIYdMkmRGimGrevDnDhg3TOowcXbt2DT8/P06dOgVAVFQUOp2u0BfHfNDnmT9/Pp6envm6pm7duixZsiRf1wghcibJjBCiQFy8eJEXXniBChUqoNfrc02UfvnlFypVqoTRaKRSpUosXbo0W5lJkybRoUMHQkNDCzdoDY0ZM4ZRo0ZhMpm0DkUImyfJjBCiQKSmplKiRAneeecdqlevnmOZbdu20a1bN3r06MG+ffvo0aMHzz77LH///be5THJyMl999RV9+/Z9VKFron379sTFxbFq1SqtQxHC5kkyI4QgNjaWl156CS8vL5ydnWnbti3Hjh2zKDN37lyCgoJwdnamU6dOTJ061aJpJTQ0lE8++YSXXnoJDw+PHJ9n+vTptGrVitGjRxMREcHo0aN54oknmD59urnMihUrsLOzy3NF9mvXrvH8889TunRpnJ2dqVq1KgsXLrQo07x5c4YMGcKwYcPw8vKiZMmSzJkzh5s3b9K7d2/c3NwoU6YMK1asyPb4W7ZsoXr16jg6OlK/fn0OHDhgcf/8+fMJDg42vxfXrl2zuP/EiRN07NiRkiVL4urqSt26dVm7dq1FGYPBQLt27bLFLYTIP0lmhBD06tWLXbt28dtvv7Ft2zYURaFdu3akp6cD6pf7gAEDGDp0KNHR0bRq1Yr3338/38+zbds2WrdubXEuMjKSrVu3mo83btxInTp18nyclJQUateuzR9//ME///zDK6+8Qo8ePSxqeAAWLFiAr68vO3bsYMiQIbz66qt07dqVRo0asWfPHiIjI+nRowdJSUkW140YMYKPPvqInTt34ufnx1NPPWV+L/7++2/69OnDwIEDiY6OpkWLFrz33nsW1ycmJtKuXTvWrl3L3r17iYyMpEOHDpw5c8aiXL169di0adP9vXlCiNxpsla3EEJzzZo1U4YOHaocPXpUAZQtW7aY77t69ari5OSk/Pjjj4qiKEq3bt2U9u3bW1zfvXt3xcPDI8/Hvpu9vb3y/fffW5z7/vvvFQcHB/Nxx44dlT59+liUWb9+vQIosbGxub6edu3aKW+88YZFDE2aNDEfZ2RkKC4uLkqPHj3M5y5evKgAyrZt2yyeZ9GiReYy165dU5ycnJTFixcriqIozz//vNKmTRuL5+7WrVuu70WWSpUqKTNmzLA49+uvvyp6vV7JzMzM81ohRN6kZkaIYu7QoUPY2dlRv3598zkfHx8qVKjAoUOHADhy5Aj16tWzuO7u4/ul0+ksjhVFsTiXnJyMo6Njno+RmZnJ+++/T7Vq1fDx8cHV1ZXVq1dnq/moVq2aed9gMODj40PVqlXN50qWLAlATEyMxXV3NnF5e3tbvBeHDh3K1gR29/HNmzd56623qFSpEp6enri6unL48OFs8Tk5OWEymUhNTc3z9Qoh8mandQBCCG0pipLr+awk4+6EI6/r8uLv78+lS5cszsXExJiTCgBfX19iY2PzfJyPP/6YadOmMX36dKpWrYqLiwvDhg0jLS3Nopy9vb3FsU6nsziX9ZruZ0TRne/FvYwYMYJVq1bx0UcfUbZsWZycnHjmmWeyxXf9+nWcnZ1xcnK652MKIXInNTNCFHOVKlUiIyPDor/JtWvXOHr0KBUrVgQgIiKCHTt2WFy3a9eufD9Xw4YNWbNmjcW51atX06hRI/NxzZo1OXjwYJ6Ps2nTJjp27MiLL75I9erVCQ8Pz9Zh+WFs377dvB8bG8vRo0eJiIgA1PfrzvvvLp8VX69evejUqRNVq1bF39/fPGfOnf755x9q1apVYHELUVxJMiNEMVeuXDk6duxIv3792Lx5M/v27ePFF1+kVKlSdOzYEYAhQ4awfPlypk6dyrFjx/jiiy9YsWJFttqa6OhooqOjSUxM5MqVK0RHR1skJkOHDmX16tVMnjyZw4cPM3nyZNauXWsxJ01kZCT//vtvnrUzZcuWZc2aNWzdupVDhw7Rv3//bDU+D2PixImsW7eOf/75h169euHr68vTTz8NwGuvvcbKlSuZMmUKR48eZebMmaxcuTJbfEuWLCE6Opp9+/bxwgsv5Fj7s2nTpmwdooUQ+SfJjBCCefPmUbt2bZ588kkaNmyIoigsX77c3CTTuHFjPv/8c6ZOnUr16tVZuXIlr7/+era+LTVr1qRmzZrs3r2bH374gZo1a9KuXTvz/Y0aNWLRokXMmzePatWqMX/+fBYvXmzRX6dq1arUqVOHH3/8Mdd4x4wZQ61atYiMjKR58+b4+/ubk42C8OGHHzJ06FBq167NxYsX+e2333BwcACgQYMGfPnll8yYMYMaNWqwevVq3n33XYvrp02bhpeXF40aNaJDhw5ERkZmq4E5f/48W7dupXfv3gUWtxDFlU55kIZvIUSx169fPw4fPlwoQ4uXL1/Om2++yT///INeXzT/5xoxYgRxcXHMmTNH61CEsHnSAVgIcV8++ugjWrVqhYuLCytWrGDBggXMmjWrUJ6rXbt2HDt2jPPnzxMUFFQoz6E1Pz8/3nzzTa3DEKJIkJoZIcR9efbZZ4mKiiIhIYHw8HCGDBnCgAEDtA5LCCEkmRFCCCGEbSuajdFCCCGEKDYkmRFCCCGETZNkRgghhBA2TZIZIYQQQtg0SWaEEEIIYdMkmRFCCCGETZNkRgghhBA2TZIZIYQQQti0/wcb2+8OhZ1arAAAAABJRU5ErkJggg==", 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", 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" ] @@ -5181,7 +5181,7 @@ "np.random.seed(3155)\n", "\n", "x = np.random.rand(100)\n", - "y = 2.0+5*x*x+0.1*np.random.randn(100)\n", + "y = 2.0+5*x*x#+0.1*np.random.randn(100)\n", "\n", "# number of features p (here degree of polynomial\n", "p = 3\n", @@ -5212,7 +5212,7 @@ "MSETrain = np.zeros(nlambdas)\n", "MSELassoPredict = np.zeros(nlambdas)\n", "MSELassoTrain = np.zeros(nlambdas)\n", - "lambdas = np.logspace(-4, 4, nlambdas)\n", + "lambdas = np.logspace(-4, 8, nlambdas)\n", "for i in range(nlambdas):\n", " lmb = lambdas[i]\n", " Ridgebeta = np.linalg.inv(X_train.T @ X_train+lmb*I) @ X_train.T @ y_train\n",