diff --git a/doc/pub/Regression/ipynb/Regression.ipynb b/doc/pub/Regression/ipynb/Regression.ipynb index 5264eb4fb..1ea3ac978 100644 --- a/doc/pub/Regression/ipynb/Regression.ipynb +++ b/doc/pub/Regression/ipynb/Regression.ipynb @@ -5566,7 +5566,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -5679,7 +5679,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -5743,7 +5743,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -5759,9 +5759,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "LinAlgError", + "evalue": "singular matrix", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mLinAlgError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mols_inv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mscl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mbeta\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mols_inv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_train_own\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mols_inv\u001b[0;34m(x, y)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mols_inv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mscl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mbeta\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mols_inv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_train_own\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/anaconda3/lib/python3.6/site-packages/scipy/linalg/basic.py\u001b[0m in \u001b[0;36minv\u001b[0;34m(a, overwrite_a, check_finite)\u001b[0m\n\u001b[1;32m 977\u001b[0m \u001b[0minv_a\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgetri\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpiv\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlwork\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlwork\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moverwrite_lu\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 978\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 979\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mLinAlgError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"singular matrix\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 980\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 981\u001b[0m raise ValueError('illegal value in %d-th argument of internal '\n", + "\u001b[0;31mLinAlgError\u001b[0m: singular matrix" + ] + } + ], "source": [ "def ols_inv(x: np.ndarray, y: np.ndarray) -> np.ndarray:\n", " return scl.inv(x.T @ x) @ (x.T @ y)\n", @@ -5844,7 +5858,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -5855,7 +5869,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -5871,7 +5885,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -5887,9 +5901,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure(figsize=(20, 14))\n", "im = plt.imshow(J, **cmap_args)\n", @@ -5953,7 +5978,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -6059,7 +6084,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -6089,7 +6114,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -6105,7 +6130,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -6121,9 +6146,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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Zol27dqmqqkrffvut0tPTG71B/c9//qMVK1ZIkmpra4+4jiuuuEL9+/fXW2+9pSVLlkja+6a6V69e+vvf/95oetx3332nO+64QzfeeKNqa2t10kknqV+/fnrttdcaTdXbunWrq9tWuN0HdXV1mjRpku69995Gbfr06SNp/yjML3/5S912222NRquys7N13HHHHXKkpmGl1D/96U+NHn/zzTe1ceNGDR061PH3sNRW9YwaNUrh4eGaOXNmszdvf/755yUp0Ak/55xzJO29XceBFi1apP/93/9VbGys4zaHDBmi8847Ty+88II+++yzQ7Zr+Ns1jJaecMIJGjRoUKN/PXr0aPJzXjnHAABHByOCAI66Bx98sNmbgY8YMSIw8nQkfvWrX+mTTz7RhAkTNGHCBKWkpOidd97R22+/rYsvvjgwCtOnTx8tWrRIsbGxOuWUU7Ru3TotXLgw8AZ5z549hzW17kBhYWG6++67deGFF+p3v/udzj77bJ1wwgmaNm2arrjiCv3kJz/RpZdeqvj4eC1evFj//ve/dcstt+jEE0+UJP3617/WxIkTddFFF+mSSy5RTU2N5s2b1+IUxyPZBxMnTtRjjz2mKVOm6Ac/+IGqqqr0/PPPKzo6Wj/5yU8k7f0O5LRp0/TTn/5UP/rRj+T3+/Xyyy+rurpal112WbPbP+ecc3Tuuedq7ty5Ki4uVk5OjjZt2qQFCxbo5JNPbrJoy9HWVvWkp6fr9ttv17333hu4/UFGRoaqqqr04Ycf6u2339bEiRPVv39/SXsXyRk3bpzmzZunnTt36qyzztL69ev13HPPaezYscrKynJ18/k77rhDH3zwge666y4tWrSoydRXaf/37ubMmaMhQ4YEOqNueOEcAwAcHXQEARx1r732WrOPZ2RkBNURTEtL0wsvvKBZs2bphRdeUGVlpU4++WTdfvvtjVZjfPjhhzV9+nS9+OKLqqmpUdeuXXXNNdeoe/fuuuGGG/Txxx9r+PDhR1zHqaeeqquuukqPP/64ZsyYoenTp6tfv35asGCBHnnkET311FOqra3VKaecohkzZujCCy8M/Gy/fv00Z84cPfjgg3rooYcUHx+viRMnasOGDXr99dfN9sGNN96o+Ph4vfjii5o5c6YiIiLUv39//f73vw9MTRw3bpyOO+44zZ07Vw888IDq6+vVq1cv/fnPf1ZOTk6z2w8LC9PDDz+sP//5z3rppZe0bNkynXTSSbr44ot1ww03OC58Yq0t65k0aZKys7M1f/78wH3xoqKilJWVpQceeECjRo1q1P7uu+9Wenq6Fi5cqGXLliklJUVTpkwJ3JvPjZSUFP3iF7/QAw88oKeeekrXXHNNkzajRo3S0qVLtWjRIq1YseKwOoJeOccAAPbC/G4/dgYAmPvqq68Cq3Ye6Nprr9WaNWv0zjvvtH5RAADgmMd3BAGgDY0fP15XXXVVo8dKSkr0ySefqHfv3m1UFQAAONYxNRQA2tDo0aP1+OOP65ZbblFOTo7Ky8v1wgsvqL6+XlOmTGnr8gAAwDGKqaEA0Ibq6+s1f/58vfDCC9q6dauOP/549e/fX7/85S+VlZXV1uUBAIBjFB1BAAAAADhGlZeXN3trIzqCAAAAABCkb0tLFb3vlj1eUlVVpSFDhjS6Z7Hk5Y7gxo1SSzegPfVUad06x5hPSk81Kyk/3yxKP7vkW7Os9/4ZbZY1xLfcudGgQdJy53Y1AwYZVLRXZaVZlGJi7LIiy0vswtxITJRKXGzTZ/z13z177LIOuFl50JpZbfNIuTmPhgyRXNznXYMHGxS0TzMf4B2x+HwX57db+245YaG+U5Jjm/Bwqb7eOSu82u7aanrcb95sFvVt9vfNsv75T+c2bo/7Id23B19QA8trmIv7MbpVcKLdvu/SxblNdLT0rYtD2vI6IUlffWWX1a2bXZblYVFR0fLznTq53w+dVi0LvqAGnTubRb28oZdZlsUxERsrXXJJ8Dle9+TgwSo3vO4EKy41VVd+8IF27NihuoPeg3l3sZjaWum771pu4/S8pOpqo3ok7d5tlyXD/ndVlVmU5HMZZrpRZ27eALaJtijMzTat67LsvLX0Ac/haoPzqJUPfds/pWXxlseEJcvPNi13vuGLkeWvaHrcWx4TYWF2WYb7vi0uX27aWZ+ONTV2WZbHa2uf3q4vAW56624Z7nzLz7KsP2w4lpVv26ZvDD/8s9KlmU+fuH0EAAAAAIQY847g1q1bdf3112vgwIEaOHCgbrvtNpWWllpvBgAAAAA8JdyD/w7FdGrorl27dMUVV6impkaTJ09WXV2d/vKXv2jt2rVauHChIiMjLTcHAAAAADgCph3Bp59+WkVFRXr11VfVfd9CAn369NHPfvYzvfTSSxo/frzl5gAAAAAAR8B0aujixYs1cODAQCdQkgYNGqRTTjlFixcvttwUAAAAAHhKW08DPZypoWYdwW+++UZbt25Vz549mzzXs2dPrV692mpTAAAAAIAgmHUEi4uLJUlJSU3vB9WpUydVVFRot+n9FwAAAAAAR8LsO4J79t2sJDq66U2Zjz/+eElSZWWlOnbs6C7wVBc3gs/OdmwyxN3WXBliGSa7u5rn5ZlFSRrmsplzO8ulgRISDMMsGd741dPb9OwfwI7b88j2fHNmuutdnLdtwe0nkuFuGsbYXVtNswzPW8OqjI/7tGBKOXpSUsyiMs2S3HNzGFoeqpLpLvMsN/usmbGN5o0aFVQtR8tl/du6gtDkNB2ztbXKqqH1Lu66Ge7qVXyfdetavmF8draUn+8Y816Jc2fRrc8/N4vSjZMrzbKWfmDYqfQtc240bJi0zLldzWC7N50VFWZRio21y4os22kX5kbnztJOF9v0ma4DZfsHsLwjc3KyWZSb8ygvT1q61DkrN9egoH3KyuyyEj53cX67lZVlFlWf7PyuMzzc3c2dw6vsrq2mx/369WZRlX0HmWV98IFzG7fHfV7WluALamB5Ddu0ySzqy0S7fZ+a6twmJkaqdHFIW14nJKmoyC6rRw+7LMvDwmmSWlKStG+ym6OkTw3XwWjmpt9H6q9r7HqCFsdEXJw0eXLwObBj1mHt0KGDJKm6urrJcw2PNbQBAAAAALQds89WUvbNI/jqq6+aPLdz507FxcUpxnruAgAAAAB4RJi8NTU0rIXnzOqMi4tTamqqvvjiiybP5efnq1evXlabAgAAAAAEwbTDmpeXp48++kgbNmwIPLZ8+XJt3LhRI0eOtNwUAAAAAOAIma4ocfXVV+vll1/WT3/6U1155ZWqrq7WnDlz1LNnT40ZM8ZyUwAAAADgKe1p1VDTOhMSEvTss88qKytLs2bN0jPPPKPc3FzNmTNHkZGWNxMAAAAAABypML/f72/rIpozcWLLy/YuXeruvkbz5tnV9P/+n13WEzNKzbLeW213o7EhPQqdG6WkSIUu2n36afAF7bOl72izLMsV4bMTDW8fsWaNc5shQ6T33rPbpluJiXZZ8fF2WZaiopzbJCRIpc7n7pKP7c7JH/3ILErhcnH/BZe2bLP7HNHNkvBuLzspyXa/o6qqPJlVUGZ3fGX4XNzyIS1N2uKineHtXCz315ayOLOsHTvMotSpk3ObjAypoMC5neEdMiRJwwaUm2Xlb7Pb/5YvH07vBTIzpS+/dJeVKZcN3UhPt8syvN9GvdHY0eHcSa69+lN6uso3b27rMgLiunXTzw9xkTC+2RgAAAAAhKaQnRoKAAAAAPA+OoIAAAAAEGKYGgoAAAAABpgaCgAAAADwLDqCAAAAABBimBoKAAAAAAbC5K2RtrAWnvNSnQAAAACAVkBHEAAAAABCDFNDAQAAAMAAq4YCAAAAADyLEUEAAAAAMBCmlhdoaW0sFgMAAAAACKAjCAAAAAAhhqmhAAAAAGAgYt8/r2ipFkYEAQAAACDE0BEEAAAAgBDD1FAAAAAAMBAmb420tbRqqGc7gg88INXXt9xm3jznnF/8wqYeSVr00BazrNE/TTPLeuklsyh99nmKY5v+KdJnRc7tonqMtihJkpTtKzTLUqLhYV9VZRZVOWCIY5sYt+3WrzSoaL+aHtlmWYa7THGxDheJw7D8Y+fL9qBB0vI1CY7tRta+YlGSJKmm1u48snxp+vRTsyj9OP0z50Yp/ZVS5KJdRWzwBe2zJSrTLKukJMYsKz3dLEoqq3XXrta5Xb0vMshi9gsvKzLLSjO85sfH2/0d43yVLlrFKCPZuV1RkV1dklRaG2eW5TN8yXVxGLoW6+JS4aaNJL233u5aEVthFqX+8QVmWdt8GUFnRERIXbsaFAMzXuqwAgAAAABagWdHBAEAAACgPQmXt0baWqrFS3UCAAAAAFoBHUEAAAAACDFMDQUAAAAAA0wNBQAAAAB4Fh1BAAAAAAgxTA0FAAAAAANMDQUAAAAAeBYdQQAAAAAIMUwNBQAAAAADYfLWSFtYC895qU4AAAAAQCugIwgAAAAAIYapoQAAAABggFVDAQAAAACeRUcQAAAAAEIMU0MBAAAAwECYWl6ps7WxaigAAAAAIMCzI4InnODc5sQTndssenxn8MXsM/76NLOsZ581i9KUKXZZM2e6a9ejh3OboqLgamkkNtYsqtIXZ5ZVUmUWpbTachet4hTjol1hYu/gCzpASkmhWVZkSYlZluVxkZqa4bKdc5v6M0cHWc1+a1abRSkryy7rx0NL7cJqXexUyd3Or6gIrpYDpKXW22XF29VVLrtrWHEH5+M+yWW7YsNjtXe8XZbKysyi/rM1xixLcs7KyZE+WeXcbsAAi3r2+/hju6whifl2YYnpdlmff97y8ymDlLJpuauolDPt/gCf/F+kWdYWn7vXNTdqa82i4CGe7QgCAAAAQHsSse+fV7RUC1NDAQAAACDE0BEEAAAAgBDD1FAAAAAAMBAmb420sWooAAAAACCAjiAAAAAAhBimhgIAAACAgXB5a6StpVq8VCcAAAAAoBXQEQQAAACAEMPUUAAAAAAwwNRQAAAAAIBn0REEAAAAgBDD1FAAAAAAMMDUUAAAAACAZ9ERBAAAAIAQw9RQAAAAADAQJm+NtIW18JyX6gQAAAAAtAI6ggAAAAAQYsL8fr+/rYtoTlmZVF9/6OcTEqTSUuecBF+5XVElJWZR/zU7wyzrN78xi9JNNzm3efJJ6corXbSb08If8DDV1Np9ZhG5+jOzLEvFXfs7tklKkoqLnbOSOlYaVHQAw2O/oDbNLCsj3e4YKy1zPsbcXnc2bQq+ngb9Y780y6pMzTTLqq01i1Jc1U7nRp07SztdtIuPD76gfZa8GWmW1bevWZRSigyvYb16ObeJjJRqahybvfex3f4aEmv4OxoeE0pMtMuqqHBuk5IiFRbabbMN1CSmmGVFrs83y6pMz27x+ZgYqdLlS2lMlYsXBrcsj1fLC7XF+4CIiL1vZI5xb6an69vNm9u6jIDobt2Ue4g3JowIAgAAAECIoSMIAAAAACGGVUMBAAAAwECYWl6ps7WxaigAAAAAIICOIAAAAACEGKaGAgAAAICBiH3/vKKlWhgRBAAAAIAQQ0cQAAAAAEIMU0MBAAAAwECYvDXSxqqhAAAAAIAAOoIAAAAAEGKYGgoAAAAABsLlrZG2lmrxUp0AAAAAgFZARxAAAAAAQgxTQwEAAADAAFNDAQAAAACeRUcQAAAAAEIMU0MBAAAAwEB7mhp67HcEKyrMoj4ryzDLuv9+syhddJFdltu6pk1zbvPAQ3anwYQJZlFKio21C0tNNYuqLnHZrtq5zfINMcEVc5BBdr+mMhLL7cKq7C5hmzY577OEBGnTJuesrl2DryfgxHSzqJgqu31frjizrPySzo5tsju7a3eS36KivUam59uFxRqeRMnJdlluXiMTEly1GzIgyqCgfYri7bLKysyiSuPt3gf4Yp3PoThJ5bEpzu18lQYVHcBnd23dtcssSpt2Z5tl5UTVO7QIV4xjm70KyxKCL2ifos/NotS3b6RZVlW883HoJCxMijaoBUdmx44dqqura/TYsd8RBAAAAIAQNmHCBG3fvr3RY3QEAQAAAMBAmLw1NTRs33/nz5/PiCAAAAAAhJIuXbo0ecxLHVYAAAAAQCswHxG86KKLtOIbz0gAACAASURBVGrVqiaPDx8+XLNmzbLeHAAAAAB4QsiuGur3+7Vhwwbl5uYqLy+v0XNdTZfRAwAAAAAcKdOO4LZt21RZWalzzz1XY8aMsYwGAAAAABgx7QiuX79ektS9e3fLWAAAAADwvDDtX6nTC1qqxXQK67p16yTt7whWVhrf4BQAAAAAEDTzjmCHDh00ffp09evXT/369VNubq4WL15suRkAAAAAQBDC/H6/3yrswgsvVH5+voYPH64LLrhA5eXlmjt3rtasWaOZM2dq7NixVpsCAAAAAE/5LD1d1Zs3t3UZAcd366b+mzY1+5xpR3DBggWqr6/XhAkTAo9VVVXp/PPP17fffqv33ntPERERrrLKyqT6+kM/n5AglZY65yRUFbranhufFaWYZfXtaxaliy6yy7r/fuc2GRlSQYFzu5deCr6eBgccUkFL+uZLu7DUVLOoLSUxjm3S0qQtW5yztm0zKOgAg1JdbNSt+Hi7LJ/d15w/W+O8//v3lz77zDnLcpHkpBNr7MKqqsyiyhVnluXmeM3OlvLznduddFLw9TRI+trFBt0yvFaoosIuKyrKuY3bF1w3WW4VFdlllZWZRZWm9zfLcnP5iouTystdtPMZfxXH8NpavCvSLOsQ72WPSM4ZLbzJlKTw8JbfiB6gsMhugp3loW/5XtPi5SMsTIqODj7H69pTR9B0auill17aqBMoSVFRURozZoxKSkoCi8kAAAAAANqO+Q3lm5OQkCCJxWMAAAAAHLvC5K0byrfKqqHFxcUaNWqUZs+e3eS5jRs3SpJSLafGAAAAAACOiFlHMCkpSbt379bChQtVccD3F3bs2KFFixYpJydHnTp1stocAAAAAOAImU4NvfPOOzVlyhRdcsklGjdunPbs2aP58+fL5/PprrvustwUAAAAAHhKuLw1NbSlWkzrzM3N1aOPPqro6Gjdf//9euqpp9S3b18tWLAgcJN5AAAAAEDbMl8sJjc3V7m5uUHnxNeWOCzb21kJtTtdBNktVR9ltwK1LBdQfe45u6xf/cq5zaxZ0kMPuWj3kLtll90YPdbuM4tnn800y4rz2S3tnxbl4nhWZ1ft0ko+Dr6gA9QMGG2WFbnebkn+8tRssyy3lwo37ZLC3Pwt3Sne1dksS7Jbxj2po93iX9k+N/c7yVS2z8WtXzr1CLqegD2Gt0MwXI5fycl2WW7Xqnezdrzh71iZnGGWVWK469MqWvtWOnGKk/P9IyoNb+ciSbt32WUl1dndxivpRMNbp5Qltvx8QoLrW4+kVNm9QUxJN7zFUpHdLYNqY4O/hVpYS6uWoE20yqqhAAAAAHCsC9mpoQAAAAAA76MjCAAAAAAhhqmhAAAAAGCAqaEAAAAAAM+iIwgAAAAAIYapoQAAAABgIEzeGmlr6a4dXqoTAAAAANAK6AgCAAAAQIhhaigAAAAAGGDVUAAAAACAZ9ERBAAAAIAQw9RQAAAAADAQppZX6mxtrBoKAAAAAAigIwgAAAAAIYapoQAAAABgIEJSfVsXcYCIFp5jRBAAAAAAQgwdQQAAAAAIMWF+v9/f1kU0p95hTDU83LmNJFVU2NQjST7DibQxJVvswuLj7bK2bXNuk50t5ec7Nps0I9ugoL3mzDGL0oMP2mX9+oxlZln1Q4c5tnF73K9ZY1DQAbI3LjbLKvjeKLOsDBWYZRV3yHBsk5QkFRc7Z33zjUFB+0RF2WWlptplVVXZZRUVObfJyJAKXPy53WS5NajHTrOsLVWdzbLSZPj6kZzs3CYyUqqpcWxWWBJpUNBeKRVfmmVVpmaaZcWo0ixr5foYxza9e0srVzpnlZUZFHQAy7cVllmW17Dwdxxev4cNk5a5e40v7un8+u1WUpjddcfygljZo3fQGWFhUnS0QTEetyE9XbWbN7d1GQG+bt3UfdOmZp9jRBAAAAAAQgwdQQAAAAAIMawaCgAAAAAGwuWtkbaWavFSnQAAAACAVkBHEAAAAABCDFNDAQAAAMAAU0MBAAAAAJ7FiCAAAAAAGGBEEAAAAADgWXQEAQAAACDEMDUUAAAAAAyEyVsjbWEtPOelOgEAAAAArYCOIAAAAACEGKaGAgAAAICBcEn+ti7iAKwaCgAAAAAIoCMIAAAAACGGqaEAAAAAYCBMLa/U2dpYNRQAAAAAEBDm9/u99H3GgPr6lp8PD3duI0nbttnUI0lpUTvNsor9nc2yko4rNctSWZlzm4wMqaDAuV16etDlNLhjmt1nFvf+psYsa/RFkWZZrzxb7twoLk4qd9HOzd+xrVRVeTMrMdG5TUqKVFjo3C45Ofh69ikssjv2U6IMrxW1tWZRNfHO18PISKnGxakbufozg4r2iY+3y4qKMosqVIpZVorPxeta587STrvXP1diY82iKhVjlhWjSrOs0irnuhISpFIXp+3q1QYFHWDImXavk1q/3iyqPDXbLMvp/WF2tpSf7y5r06agywkYOcDwXDM8j8yuYeHH/hjUjvR01W3e3NZlBER066YuhzhImRoKAAAAAAYi2rqAg7RUz7HfLQcAAAAANEJHEAAAAABCDFNDAQAAAMBAmLw10saqoQAAAACAADqCAAAAABBimBoKAAAAAAa8NsrWUj1eqxUAAAAAcJTREQQAAACAEMPUUAAAAAAw4LVRNqaGAgAAAAAC6AgCAAAAQIhhaigAAAAAGPDaKBtTQwEAAAAAAXQEAQAAACDEMDUUAAAAAAyEyVsjbWEtPOelOgEAAAAArYCOIAAAAACEGM9ODa2ulvz+Qz8fEyNVVTnnpCXX2BXlSzSL+nqNWZSSareZZVX26O3YJkZSZXKGc7uiQoOK9ro3126Hjb98mFnWKy/Vm2U9vzDOsc3FF0vP/69zu379nNscjsw1r5hlFfQabZaVoZVmWZ8VpTi26Z/ist3fZlmUJEmKuvxGs6ya2ASzrF27zKKU5HNzHoUr0k272Nig6wnw2b1E1ic7HzdupVSUm2WVq7NjmzhJ5VEu2m2yOx+3xDu/FrlleUjExNodE27ew7htZ3ioSpKKd0XahZ2UbRbVyfBvma18xxbObfa19Nm9DyuoyDPLSrd726rwbVuCD4mIkLp2DT7H48IltdCFaXVMDQUAAAAABNARBAAAAIAQ49mpoQAAAADQnjA1FAAAAADgWXQEAQAAACDEMDUUAAAAAAwwNRQAAAAA4Fl0BAEAAAAgxDA1FAAAAAAMhKnl6ZhewoggAAAAAIQYOoIAAAAAEGKYGgoAAAAABtrTKFt7qhUAAAAAYICOIAAAAACEGKaGAgAAAICB9jTK1p5qBQAAAAAYoCMIAAAAACGGqaEAAAAAYKA9jbKF+f1+f1sX0awtW6Ta2kM/n5EhFRQ453z+uVlJlT/6sVlWjCrNsop3x5hlJXWqd24UHi7Vu2hXURF8QUeDz+7zj+dftdv3F4+z2/dzn7W9DMXG2mX9eMAWs6yC2jSzrKoq5zbZ2VJ+vnO7qKjg62mQEVVollUem2KWZXgaqajIuY3bS75lXWVldlmW51CGXOwIl15ZneHYZvRo6ZVXnLNGn+/iGubW+vV2WampZlEFRXbXfDe/Yl6etHSpc7uhQ4MupxHLl2/L62GMr8YuzElkpFTjbnuFJZFmm02JLTfLMv1DunmRdOLzSWl2r9te5U9PlzZvbusy9uvWTWGbNjX7FCOCAAAAAHAM27Fjh+rq6ho9RkcQAAAAAAyEhYVJYWFtXcZ++2qZMGGCtm/f3ugpOoIAAAAAcAybP38+I4IAAAAAEEq6dOnS5LEj6ghOmzZNmzdv1rx58xo9vnXrVs2cOVMrVqyQJA0dOlRTp05VQkLCkWwGAAAAANoPn8925bJgtVDLYVe5cOFCLVy4UAMHDmz0+K5du3TFFVeopqZGkydPVl1dnf7yl79o7dq1WrhwoSIj7VZUAgAAAAAcOdcdwbq6Oj322GOaPXt2s88//fTTKioq0quvvqru3btLkvr06aOf/exneumllzR+/HibigEAAAAAQXHVEayurta4ceO0du1ajR07Vh999FGTNosXL9bAgQMDnUBJGjRokE455RQtXryYjiAAAACAY1tEhLemhkZEHPIpV3edrq6uVkVFhR588EHNnDlTvoN+uW+++UZbt25Vz549m/xsz549tXr16sOsGAAAAABwtLjqrsbGxmrp0qVNOoANiouLJUlJSUlNnuvUqZMqKiq0e/dudezYMYhSAQAAAAAWXHUEw8PDFR5+6MHDPXv2SJKio6ObPHf88cdLkiorKw+vI5iW5twmI8OmjUsxZkm2aUmmhbkaJJZaOB4C4uKCK6UduPhiyzS7fT9pUpClHFUuzm2X7M5u97KzW3uLKWZJXj0j3V6mDS/nrrh5GWobdjtitMuo0aPdtHJ5DXMjM9Muy5DlMeg2Ky/PbptueXex91ZeeNDlQocpdpdpmV6pQ+B9mCcdy6uGNqe+vt6xTUsdyWZt2SLV1h76+YwMqaDAOefzzw9vuy2o/NGPzbJiVGmWVbzbsFPZyflvqfBwycXfXBUVwRd0NBienM+/arfvLx5nt+/nPmv4hkxSbKxd1o8HbDHLKqi1e6deVeXcJjtbys93bhcVFXw9DTKiCs2yymPt3q1YvsYVFTm3cXvJt6yrrMwuy/IcypCLHeHSK6udeyOjR0uvvOKcNfp8F9cwt9avt8tKTTWLKiiyu+a7+RXz8qSlS53bDR0adDmNWL58W14PY3w1dmFOIiOlGnfbKyyx66CmxJabZZn+Id28SDrx+bz8CVtIMnm32KFDB0l7v0t4sIbHGtoAAAAAANqWyWenKfvGxL/66qsmz+3cuVNxcXGKibGdWAkAAAAAnnKsrRrqJC4uTqmpqfriiy+aPJefn69evXpZbAYAAAAAYMDsi0R5eXn66KOPtGHDhsBjy5cv18aNGzVy5EirzQAAAAAAgmQ2bnn11Vfr5Zdf1k9/+lNdeeWVqq6u1pw5c9SzZ0+NGTPGajMAAAAA4E3taNVQsxHBhIQEPfvss8rKytKsWbP0zDPPKDc3V3PmzFGky+V3AQAAAABH3xF1V5ctW9bs4xkZGfrzn/8cVEEAAAAAgKPLQ+OWjX3bKU1+/6Gfj5FUmex8/6OYWLt7EcVUlZpl1cTa3a01qaPdPQlXrnZe3bV3b2nlaufB5N4ln1qUJEkqSB9mlpVR+6VZ1ve+Z3fTYzf3/ps0yWW7yw3v5yXpgYcM70sYb3dOViTa3Y+od6qb8ztB2cnO7erj7c7vessbyte24j24DkOGq9u8RSoj1UX927YFW05AWrLhzf8Mb6ZWWmt4Q/lebu5JmOGqXWGRXV0p8fFmWaVVdquWZyTbvd5+9ZW7uk44wbnNpk3B1XKwzHS7a4XlPfZi4lu4v/Thaule1dLe+wi6vHdeVZXlzDe7e/9Vxtu9fuzeHXxGeLjUKfgY7wu1VUMBAAAAAO0HHUEAAAAACDEeGrcEAAAAgHYsFFcNBQAAAAC0D3QEAQAAACDEeGjcEgAAAADaMVYNBQAAAAB4FR1BAAAAAAgxHhq3BAAAAIB2jFVDAQAAAABeRUcQAAAAAEKMh8YtAQAAAKAdY9VQAAAAAIBX0REEAAAAgBDjoXFLAAAAAGjHWDUUAAAAAOBVdAQBAAAAIMR4aNwSAAAAANqxdrRqqIeqPEr69jWLKihLMMvK2LbSLKsmq7dZVu/YAhetMty1yxocdD2BLf7jFbMsZWWZRfUuWmqWtT42z1W72FjnNg88ZDvY/1831Ztl/WLKMLOsW281i1K5z/n8jnPbrqLcoKJ9Pv7YLKpmqLtjzI2SErMopax/z7nRkCGu9sWXyUMMKtqrR6JZlMLLSs2yEuLtzkcVVblrV+XcLiXe7ndUVa1ZVGy8WZRKK2LMsnL61bhoFemuXVlZ0PUc6MlnO5tljR1rFqVPVtnt/1NPbfn5BEmltXGusjIS7a75n61PMcvqH2tXV8weg4u+zycpLfgcmGFqKAAAAACEmGN/RBAAAAAAWgOrhgIAAAAAvIqOIAAAAACEGA+NWwIAAABAO9aOVg1lRBAAAAAAQgwdQQAAAAAIMR4atwQAAACAdoxVQwEAAAAAXkVHEAAAAABCjIfGLQEAAACgHWPVUAAAAACAV9ERBAAAAIAQ46FxSwAAAABox1g1FAAAAADgVXQEAQAAACDEeGjcEgAAAADaMVYNBQAAAAB4lYe6q41Fr/1cqqk5dIOBAxWzeoVzUI8eZjV16GAWJdVGmUWVlJhFKSUx0V1DN+2KioIr5gCFA0abZaWUrDTLKh2QZ5b144otLlql6ccDXLSLXx90PQf6xZRhZlmPPVpvlnXlZLvPsp6c+qVzo7hMxRW5aBdld35vybI7xtIqSs2yKioSzLLK+w5xbBPnsl1mVAuvG4fps88jzbLS0+32V0JFuVnW8rJsxzaD3LZLtaurOCLFLCtp9WdmWeu+62+WlZ7ufHwlJUnFu5zbVVd3tigp4MqhBWZZpcowy8rpZFeXYlMdGkQqIdbl9eTT1UGX0yA2cZBZlmpr7bLi44PPCGf8yWs82xEEAAAAgHaFVUMBAAAAAF7loe4qAAAAALRjLBYDAAAAAPAqOoIAAAAAEGI8NG4JAAAAAO0Yi8UAAAAAALyKjiAAAAAAhBgPjVsCAAAAQDvGqqEAAAAAAK+iIwgAAAAAIcZD45YAAAAA0I6xaigAAAAAwKvoCAIAAABAiPHQuCUAAAAAtGOsGgoAAAAA8Co6ggAAAAAQYjw0bgkAAAAA7Vg7WjU0zO/3+1uxFNfq61t+PjzcuY0kVVXZ1GOdlVDypVnWZxWZZlm9ejm3iYyUampctKutDL6gBtu22WUVFdll1daaRRWkD3Nsk5EhFRQ4Z1VUGBR0gNhYu6x77rHLenKOi4uAS3983HmCxHXXSX/8o3PWddfa1aX16+2yUlPNoraUxJhlrVnj3CYvT1q61EW7AaXBF9QgKsouy/IFxPJ6GB/v3CYtTdqyxbmd5YXC8k3U++/bZZ18sllUZY/ejm1iYqRKw5dStywPVzeHmFubNtllOR1ibg97SUpODr6eBpElhWZZ9ckpZlnhJTsNQsKlxMTgc7zu9tulr79u6yr2O+kkafr0Zp9iaigAAAAAhBgPjVsCAAAAQDvGqqEAAAAAAK+iIwgAAAAAIcZD45YAAAAA0I61o1VDGREEAAAAgBBDRxAAAAAAQoyHxi0BAAAAoB1j1VAAAAAAgFfREQQAAACAEOOhcUsAAAAAaMdYNRQAAAAA4FV0BAEAAAAgxHho3BIAAAAA2jFWDQUAAAAAeBUdQQAAAAAIMR4atwQAAACAdoxVQwEAAAAAXuWh7mpj+flSTc2hn+/fX/r8c+ec/smFZjWVKcUsqyY90yyrv6/eLKtgk/NnAxkZ0rZtbtJigq6nQVSs3f5KSTaL0vISu7riq9y1q3LRrndqaXDFHKTcl2CW9eTUL82y/vi43f6/7lo351G4q3a3TbX7jG3qVLvfMWH9SrOstKgos6yyZHe/Y7KLc/fLErtjNXPTUrMsnXmmXVZsrFlU8fFpjm2SXLbrFG9Q0D7htS28AThcI0bYZbm5ALsUU1vuolWcu3aGdUlSVGJns6xw2b1HyUisMMsqV5xjm3iXx3RkheFrblmZWVS44XVaFQb73kujZCFox44dqqura/QYfxEAAAAAsODRVUMnTJig7du3N3rKQ1UCAAAAAKzNnz+fEUEAAAAACCVdunRp8tgRdQSnTZumzZs3a968eY0ev+iii7Rq1aom7YcPH65Zs2YdyaYAAAAAoH1oR6uGHnaVCxcu1MKFCzVw4MBGj/v9fm3YsEG5ubnKy8tr9FzXrl0PdzMAAAAAgKPEdUewrq5Ojz32mGbPnt3s89u2bVNlZaXOPfdcjRkzxqxAAAAAAIAtVx3B6upqjRs3TmvXrtXYsWP10UcfNWmzfv16SVL37t1tKwQAAACA9sCjq4Y2x9XNrqqrq1VRUaEHH3xQM2fOlK+ZX27dunWS9ncEKysrj6RUAAAAAMBR5qq7Ghsbq6VLlzbbAWywbt06dejQQdOnT9eSJUtUWVmpk08+WTfffLNGjRplVjAAAAAAIDhhfr/ff7g/NGzYMHXt2rXRqqEXXnih8vPzNXz4cF1wwQUqLy/X3LlztWbNGs2cOVNjx441LRwAAAAAPGXOHKm8vK2r2C8uTpo8udmnzCawjh8/XvX19ZowYULgsVGjRun888/X73//e11wwQWKaGGO6sFWr5Zqag79fP/+0mefOef0Ty50vU0nhUoxy0pMNItSpK/eLKtgk/Ns4YwMqaDAbJOuREXZZaVUfGmWtbwk0ywrPt65TXa2lJ/vol1yafAFHaDcl2CWFVdkt///+Kbd/r/uWhfnUXi4VO/c7raprmbduzJ1qlmUErattAszPClXVjn/HXv3lla6KN/yWpG5aald2Jln2mWVlJhFFXfIcGyTlCQVFztndepkUNA+4bUtvAE4XJbf1amqssuqrXVuExfn7g2lZV2S6hM7m2WFy+49iioqzKLKFdfi8253vSTF1Rq+5hYV2WUlJ9tllZUFn+HzSWlpwefAjNm7lUsvvbRRJ1CSoqKiNGbMGJWUlAQWkwEAAAAAtK2jvqRNQsLekQQWjwEAAABwTDvWVg11UlxcrFGjRjV7j8GNGzdKklJTUy02BQAAAAAIkklHMCkpSbt379bChQtVccD87R07dmjRokXKyclRJ8svDwAAAAAAjpjZuOWdd96pKVOm6JJLLtG4ceO0Z88ezZ8/Xz6fT3fddZfVZgAAAADAm3w+b00NbaEWs8VicnNz9eijjyo6Olr333+/nnrqKfXt21cLFiwI3GQeAAAAAND2jqi7umzZsmYfz83NVW5ublAFAQAAAACOriO6oXyraOkmgpIUGencRtKXmyKNCpIyy1aYZalXL7OowrIYsyw3t5xxeSs1ha9xccM7l7bEZptlpSUb3p/q8cfNogrOv9Gxjdt7OKanB1/PgcIrDG+ManEvogaGi1C5ufffffdJt93mnHXfDLv7Zj0xx+6ehBddZBZlKjbWuY3LS77pfVXr7SbNKLzM8D5jrX0vu7Q0acsW53aGN8gtrbJ7XUuIN7yPnaWPP3ZuM2iQtHy5czvji35Bld19ky3XCmzNW+y5veZIUmSt3cr4BUV2x35Gut2xX1Nrcz2MtHtb7l1//avpPS+DFhsrXXZZs0/ZvcoBAAAAANoFOoIAAAAAEGI8tKQNAAAAALRjobhqKAAAAACgfaAjCAAAAAAhxkPjlgAAAADQjkVEeGtqaETEIZ9iRBAAAAAAQgwdQQAAAAAIMR4atwQAAACAdoxVQwEAAAAAXkVHEAAAAABCjIfGLQEAAACgHWPVUAAAAACAV9ERBAAAAIAQ46FxSwAAAABox1g1FAAAAADgVXQEAQAAACDEeGjcEgAAAADasXa0amiY3+/3t2Ipru3eLbVUWVycVF7unBMba1dTeFWlWdZ7n8aYZQ0ebBbl7neMiZEqndsV77b7HTdsMItS3752WVVVdlkJVYXOjVJSpELndvXJKQYV7Rf+5lKzrC1ZeWZZaVVfmmWVJmY6tklIkEpLnbP+9jeDgva5ZnK9Wda9M+wmgdxxrYsd4VZtrXObzp2lnTud20VFBV/PPsXfxpllVVebRSkt3sWLn1vvv+/cZtQoafFix2bFA0YZFLSX6f4qW2mWVZPV2ywrsszF8ezyuF/0QWeDivY780y7LMv3YXEVLl4nXVq+qeXXyUGDpOXL3WUN6mV3TpbW2l13LBUVBZ9x3HHSqacGn+N5b7whffttW1exX3S0dN55zT7F1FAAAAAACDEeGrcEAAAAgHaMVUMBAAAAAF5FRxAAAAAAQoyHxi0BAAAAoB1rR6uGMiIIAAAAACGGjiAAAAAAhBgPjVsCAAAAQDvGqqEAAAAAAK+iIwgAAAAAIcZD45YAAAAA0I6xaigAAAAAwKvoCAIAAABAiPHQuCUAAAAAtGM+n1RX19ZV7MeqoQAAAACABnQEAQAAACDEMDUUAAAAACywaigAAAAAwKvC/H6/v62LaNby5VJV1aGfHzZMWrbMMWZLj2FmJdXWmkUpI73eLsyysJb2eYO4OKm83LFZQUmcQUF7paaaRSlSNWZZlbWRZllu/owud73ioux+R0mqkd3vGVlRapalqCi7rPXrndv07i2tXOnYrDS1t0FBez3+uFmU7phqd925+x67zxGnTXNuEx4u1bsoP3z9l8EXtM8nuzLNsk4/3SxKMWWFZlmlUSmObRISpFIXp21C7U6DivZavr6zWdagHnZ1lUfZ1RVX62anutv5pUowqGg/y8GM//zHLuvUU+2ynH5Ht6+3ku1rbvEuu9fbpDC7Y39LVfDHfkSE1LWrQTFe9/nnUo3t+7CgREZKffs2+5SHxi0BAAAAoB3z+dx9ctlaWDUUAAAAANCAjiAAAAAAhBimhgIAAACABVYNBQAAAAB4FR1BAAAAAAgxHhq3BAAAAIB2zOeTvHR3PlYNBQAAAAA0oCMIAAAAACGGqaEAAAAAYCEiwltTQ1k1FAAAAADQgI4gAAAAAIQYpoYCAAAAgAUv3UxeYtVQAAAAAMB+HuuyAgAAAEA71cLiLG2CxWIAAAAAAA3oCAIAAABAiGFqKAAAAABY8PmksLC2rmK/FqaGercj2K2bVFfXcpsePRxj4uON6pH00kt2WampdoOxJSWRZllVVc5ZGXFSQUmcc7vUGouSJEnlLupyK7KqzCxrt7+zWVbHju7atcViVCUldlkVFQlmWVFRZlFKcxtmuVEX7ri21Czr7nvs9v2d0+rNsu6+x/l6eOed0j33OGfddFOmQUV75fgKzLLqozLMsrbUpphlpbp8jXTzWrplm931cFCW3XGvTdvMouJ6GJ7/bi/mLtqVFAVZy0EsL3M50SvNsmpie5tlVVQ4t6mtysmiWgAAIABJREFUdZdVvMvuPUp1tVmUKhPtzsm02sLgQyIiJCUFnwMzTA0FAAAAgBDj3RFBAAAAAGhPIiK8NTU0/NDjfowIAgAAAECIoSMIAAAAACGGqaEAAAAAYMHnk+rtFlQLGlNDAQAAAAAN6AgCAAAAQIhhaigAAAAAWIiIaHE6ZqtrYQVTD1UJAAAAAGgNdAQBAAAAIMQwNRQAAAAALPh8kt/f1lXsx9RQAAAAAEADOoIAAAAAEGKYGgoAAAAAFiIi2roC1xgRBAAAAIAQQ0cQAAAAAEIMU0MBAAAAwIKv/XSvGBEEAAAAgBAT5vd76UYX+5WVSfX1h34+IUEqLXXOqaiwqynNV2gXVlVlFlUan2GWVVbm3CYjQyoocNFOLhq5VJ5o9ztaflAT46sxyyrYFunYxvW+T7WrS5L08cdmUeV9h5hlGZal5GTnNr17SytXOrfLygq+ngaRZTvNsuoTO5tl3XOPWZTunNbCxb5BeHjLLwr7jB5r9/nm3/5mFqXaWrusGFXahbl5kezcWdrp4ji0vLhaZr3zjlnUEt9os6y+fZ3bpKRIhS7eeqSU5Qdf0AHqs7LNssLLXLxZcys21i7L6aSMiZEq3Z1rn6yKMShor5zvlZtlLfkgzixrZK8twYdEREhduwaf43UuXqtaXXi4duzYobq6ukYPt5+xSwAAAADwsHoPTrgMlzRhwgRt37690eN0BAEAAADgGDZ//nxGBAEAAAAglHTp0qXJY647gu+//74ee+wxffHFFwoPD1efPn100003qe8Bk9y3bt2qmTNnasWKFZKkoUOHaurUqUpISDAoHwAAAAC8y/I74VYiD7EMhauO4IoVK3T11Vfr1FNP1c0336za2lr99a9/1eWXX66//vWv6t27t3bt2qUrrrhCNTU1mjx5surq6vSXv/xFa9eu1cKFCxV5qAoAAAAAAK3KVUfw3nvvVZcuXfTCCy8oOjpakjR27FiNHDlSDz74oJ566qn/397dB1dVpvne/+WFsNmEGNOBQMgTQsQMAoNANcFDzdg0HYEOSLBUFLBtxHYsy6lTYnkYtWi7m6OitoWnaLtaq/GZLjRID2esxj6oRVlzLN94eWy0EElAAoiBhBdDSHbCTgzZzx+BCB2SdeO+kqxkfT9V/uFeV65cWdxr7X1l3blv/elPf1J1dbX++te/6pprrpEkXX/99brnnnv0l7/8RQsXLuy+nwIAAAAA4MxzWZszZ86ovLxcc+bMaW8CJSkzM1NTp07Vp59+KknasmWLCgsL25tASZo+fbpGjx6tLVu2dEPpAAAAAOAf5861TQ/1y39/tz7MJTyfCKampuqdd965pAm84PTp00pKStKZM2f09ddfa/bs2R1ixo8fr/cM9/ABAAAAAMTH84lgUlKS8vLylJWVdcnr5eXl2rVrlyZPnqzjx49LUocYSRo6dKgikYjq6+uNSgYAAAAAxCMhFovFrvSLGhoatHjxYu3bt0/r16/XgAEDdOedd+rJJ5/U7bfffknsCy+8oJdeeknvv//+ZRtFAAAAAOgP6uulK++uuk9CgjRkyOWPXfE+gmfPntUDDzyg8vJy3X///SosLNTf/vY3z69LTPR8+HiJ2lqptbXz4xkZUk2Nd55I5Iq+bZdyk4/ZJYtGzVLVpOeb5aqt9Y7Jz5cOHnSIk0OQo7pMu58x2XD3zHBys1mug5XeK+s6n/scu7okSdu3m6Wqm3SjWS7DsjR8uHfMxInS7t3ecWPHxl/PBSm1J8xytWYOM8v15JNmqfTEyi5u9hckJnb9pnDe/AVX9l7Tlf/9v81SmS4nHlajXTKXN8lhw6QTDuPQ8uZqmcvwz1PeSp5vluui3bc6lZ0tHXP46JFduzf+gi7SOnacWa7EWocPa65SU+1yeV2U4bDU6Hat7fg8bFBQm2nX1ZnleuvDNLNcxROOxJ8kKUkaOTL+PDBzRe+YdXV1WrZsmXbs2KFbb71Vy5cvlyQNHjxYktTU1NThay68diEGAAAAANC7nH/l9s033+jee+9VWVmZ7rjjDv3mN79RQkKCJCk7O1uSdPLkyQ5fd+LECaWlpSkctvttCQAAAAD4zblzThNYekxXkzKdGsFIJNLeBC5dulSPPfbYJcfT0tKUk5OjL774osPX7t27VxMmTLiyigEAAAAA3cZpauiqVatUVlamu+++u0MTeMGsWbO0bds2VVRUtL/28ccf69ChQyouLrapFgAAAAAQN88nghUVFdq8ebOGDBmi6667Tps3b+4QU1JSovvuu0+bN2/W0qVLtWzZMjU1NWndunUaP368SkpKuqV4AAAAAPCLlpZ+NDV0586dkqT6+vpOnwaWlJQoIyNDr732mlavXq21a9cqFAqpqKhIK1asUEqK92qIAAAAAICe4dkILlq0SIsWLXJKlp+frz/+8Y9xFwUAAAAA6D6GG/XYSkrq+lGm5LbNUE6OTT2SpE8q7XK5bFrmKKPFbp+xaMhtn7FQyCFoeF5ctVysstwslcbJcL+l9HSzVMnJ2Y5xDkGVhmNV0v7hdnv/FYTs9jic9UO7jUL3n8pwinMZ+ynJhnNCnC42N4kH9pvleuihArNcLnv/vfmmY9xf7M79w4/Y7Um45km7vf9aQ3arcO854J1r4jBpd7X3e4PlFm95eXa5Tk6z2/uveN/7ZrmU7LLh6DBlJzu8xx86FHc5F0u0fA9x2TDRkct+u67yKz02or3xRumTT5xyTTPcKHR/9UyzXMU32O3heCyaG3eOpCQpy6AWvzt3ru0/v0hK6vyY3bscAAAAAKBPoBEEAAAAgIDx7dRQAAAAAOhLWlr8NTU0Fuv8GE8EAQAAACBgaAQBAAAAIGCYGgoAAAAABs6da5se2hfwRBAAAAAAAoZGEAAAAAAChqmhAAAAAGCgpYWpoQAAAAAAn6IRBAAAAICAYWooAAAAABjw26qhCQmdH+OJIAAAAAAEDI0gAAAAAAQMU0MBAAAAwIDfVg1laigAAAAAoB2NIAAAAAAEDFNDAQAAAMCA31YNTezisV9CLBaL9Vwp7mprpdbWzo9nZEg1Nd55MqLHzGpqTM82y2U5QPbsscs1PXO/d1BBgbTfIS4nJ/6CLohG7XLV1trlMrQ7ku8ZM3GitHu3d66Jw08YVPSd1sxhZrk++8wslaaMbbRL9uGH3jGzZklbt3qGtRbNMiioTXW1WSrTXFPSD5rlas7xHvspKVJzs3euRx81KOi8Nc938SZ0hd78P3YTcMaMMUulcXkO11A4LDU6xIVC8Rd0QWWlXS5L6el2uQ4c8I6ZMkXatcs7bsKE+Ou5WCRim8/KqVNmqWoyC7o87vo5U7IdrpbXdzjq+AM4aAxlxJ0jIUEaNMigGJ/bs8ft/aqnpKR0fotgaigAAAAABAxTQwEAAADAgN9WDe1qaihPBAEAAAAgYGgEAQAAACBgmBoKAAAAAAb8tmpoUlLnx3giCAAAAAABQyMIAAAAAAHD1FAAAAAAMOC3VUOZGgoAAAAAaEcjCAAAAAABw9RQAAAAADDgt1VDk7vo9ngiCAAAAAABQyMIAAAAAAHD1FAAAAAAMOC3VUO7qoUnggAAAAAQMDSCAAAAABAwTA0FAAAAAAN+WzX03LnOj/FEEAAAAAACJiEWi8V6u4jL+uwzqbm58+OFhdLOnd55xo41K6lOaWa50lJbzXLVRez6+a72GrkgHJYaGx3iQv78GdMix8xyKT3dLNXB6rBnTH6+dPCgd678zDqDii4SjZqlqkkeZpYrQzVmuZwGf1qaVOdwbg1/FXgkkmGWKzPTLJVCIbtcLsPL+b4jhyBHb77rfU26mj/P7n644lG7++FzKx3Gs+O4N32PTLb7d9xfaffvOGaMWSoniYlSq8PQSWzp4vPS91FdbZbqWHKuWS7DtyLV1nZ9fMoUadcut1x5eXGX0y6j5YRZruZ0u/fblKjB54qEBGnIkPjz+Nz//b/S2bO9XcV3Bg2Sfvzjyx9jaigAAAAAGGDVUAAAAACAb9EIAgAAAEDAMDUUAAAAAAywaigAAAAAwLdoBAEAAAAgYJgaCgAAAAAGWDUUAAAAAOBbNIIAAAAAEDBMDQUAAAAAA6waCgAAAADwLRpBAAAAAAgYpoYCAAAAgAFWDQUAAAAA+BaNIAAAAAAEDFNDAQAAAMAAq4YCAAAAAHyLRhAAAAAAAsa3U0Prr5mkWKzz42mS6sYWeuaJROxqOnXKLteECXY9eFr1frNcTgoKFK70/p7NeQVm3zJNdWa5akLZZrkyIifMcuWr2ikqXwc9o2pa8uMv6CIZmal2uSJ2/5Y6XGmXK9XhZ0xLc7sRhELx13Nebrrh+aq1uyEeabG7jnIzGx2iwgrLO641FI6/oPPGjDFLpRWP2t3zn3um1SzXnzelecbccYf057e942bMMCjovJYBdv+OBdXvm+VSxO5e2Dh2imdMOCxFo965wlHDDzuSmofnmuVqcXlrc5SfZzf2vT8gpmnKGLf7b3PI+/pwVmn3b5niMnhcubxHekkMxvMnVg0FAAAAAPgWjSAAAAAABIxvp4YCAAAAQF/CqqEAAAAAAN+iEQQAAACAgGFqKAAAAAAYYNVQAAAAAIBv0QgCAAAAQMAwNRQAAAAADLBqKAAAAADAt3giCAAAAAAGWCwGAAAAAOBbNIIAAAAAEDBMDQUAAAAAAywWAwAAAADwLRpBAAAAAAgYpoYCAAAAgAFWDQUAAAAA+JZvnwgeOCA1N3d+fNo0qazMO8+06+rMaspOjprlqqkdZpbr26sKzHJlDahxC8zM9AxJqT0RZzXfac20O18ZtY4/o4PjMbu6duzxzjU/X3pzT7533ISDFiV9p9pu7H9cO84s1/ScdLNcxwfmesZkSTo+2Pv8ZzUdMajovA8+MEtV89/mmuUyPPXSqYh3TDgsRbzj9hwIGxTUZuKYRrNcz620+/XwnzelmeW64/ZWh6hEp7gNG+1+t7xggVkqNf7wRrNc4e3/ZZfrlMN9IjfXKa4m1fv+dSUyWuzGfm7lZ2a5lDrWLld1ddfHx42TKiudUh1OtntfS031fo9xlR01/CwQNfgckJQUfw58b1VVVTr3dyvH+LYRBAAAAIC+xK+rhi5ZskRHjx695BiNIAAAAAD0Y6WlpTwRBAAAAIAgGTFiRIfXnBvBDz74QH/4wx/0xRdfKDExUddff70eeughTZo0qT3mtttu0+eff97ha2fPnq21a9d+z7IBAAAAwP/60qqhTo3gzp07dd999+naa6/V8uXL1dLSog0bNuiuu+7Shg0bNHHiRMViMVVUVKioqEizZs265OtHjhwZ1w8AAAAAALDj1Ag+/fTTGjFihP7jP/5DgwYNkiQtWLBAxcXFeuGFF/Tv//7vqqysVGNjo37yk5+opKSkW4sGAAAAAHx/no3gmTNnVF5ernvuuae9CZSkzMxMTZ06VR999JEk6cCBA5Kka665pptKBQAAAAD/8uuqoZfj2QimpqbqnXfeuaQJvOD06dNKOr8nyJdffinpu0awsbFR4bDdfk4AAAAAABueu78mJSUpLy9PWVlZl7xeXl6uXbt2afLkyZLaGsHBgwdr9erVmjx5siZPnqyioiJt2bKleyoHAAAAAHwvCbFYLHalX9TQ0KDFixdr3759Wr9+vQoLC3XLLbdo7969mj17tm6++WbV1dVp/fr1Ki8v17PPPqsFCxZ0R/0AAAAA4Av/839Kp0/3dhXfufpq6Ze/vPyxK95H8OzZs3rggQdUXl6u+++/X4WFhZKkhQsXqrW1VUuWLGmPnTt3rubNm6ff/va3uvnmm9unkbr49FOpubnz49OmSTt2eOeZdl2d8/f0FI2apapJHmaW69tvzVIpa0CNd1BGhlTjEGc4Qbo10+58JdY61O7o+LcZZrlcxvP8+dKbbzrETTgYf0EXMxz7H9eOM8s1PeeIWa7jA3M9Y7KypOPHvXNlNdnVpctsyfN91fy3uWa50tPNUinx1AnvoGHDpBPecbur7e4VE8c0muWyvB/++e00s1x33N7qHZSYKLV6x23Y6DnJyJlff3cc3v5fdsnGjPGOyc2VjnjfT2pSve9fVyIjZDj2P/vMLtfYsXa5qqu7Pj5unLR3r1Oq/cl272upqWaplB01/CwQCsWfIymp7Y0UvnFFd+26ujotW7ZMO3bs0K233qrly5e3H1u0aNElTaAkhUIhlZSU6NSpU+2LyQAAAAAAepfzE8FvvvlG9957r8rKynTHHXfoN7/5jRISEjy/LiOj7YlJY6Phb5cAAAAAwGf60qqhTk8EI5FIexO4dOlSrVq16pIm8Pjx45o7d65efPHFDl976NAhSVJOTs4Vlg0AAAAA6A5OjeCqVatUVlamu+++W4899liH41lZWaqvr9emTZsUiUTaX6+qqtIbb7yhadOmaejQoXZVAwAAAAC+N8+poRUVFdq8ebOGDBmi6667Tps3b+4QU1JSoieeeEIPPvig7rzzTt1+++1qaGhQaWmpkpOT9atf/apbigcAAAAAv2hp8dfU0K5q8WwEd+7cKUmqr6+/7NNAqa0RLCoq0u9//3u9/PLLev755xUKhVRYWKiHH364fZN5AAAAAEDv82wEFy1apEWLFjklKyoqUlFRUdxFAQAAAAC6zxXvI9hTxo6VvLa6/8d/9M5TE7XbbynDYAuVC6or7XJZysp0fJbt8szbcO+52lqzVMowTJYVsfuHnD9vgkNUoubP897P61h1fvwFXSQ73W7vxek5hnt7tthtuDTUcV88pz93jmbGVcvFjv/Qbu+/rBaH/focHam0268vN9XxrSjZO85yDy6TfbPOq4vY7bE3Y4ZZKqe9/xYvdoy702FPQkfP/tbufN13n1kqJf/TTLNc5eXeMRNzpd213nsETsy0XZm9NRQ2y/VZaLpZrinVbvv69WXZmV1son2lDN+L9Mkn8ecIhQKxj2C/WzUUAAAAANB/0AgCAAAAQMD4dmooAAAAAPQlfWnVUJ4IAgAAAEDA0AgCAAAAQMAwNRQAAAAADLBqKAAAAADAt2gEAQAAACBgmBoKAAAAAAZYNRQAAAAA4Fs0ggAAAAAQMEwNBQAAAAADrBoKAAAAAPAtGkEAAAAACBimhgIAAACAAVYNBQAAAAD4Fo0gAAAAAAQMU0MBAAAAwEBfWjW03zeCGcl1dsmS7U7XuOE1Zrl0+LBdrtpU75hhw6TaWs+wuuEFBgW1yag9YparcXi+WS5L4QP7vYMKCqQDBzzDstPTDSq6SNTujnY8KdssV9Ygu+s7saXZOyglxSmuJho2qKhNU5NZKn1cOcws1/Sxhvcw13urQ1xeXnylXKKy0ixVWmamWa6WAXbja8ECu7hnf2s3yejf/kerWa633rGry/LD3fyxDvd8FWhiyCGu2vjjXJ7d++SUMYafwz47ZZbqYM6NXR7Pl3QwNM4pV6bxW64Zh89qro6MmRl3jqQkaaRBLbDD1FAAAAAACJh+/0QQAAAAAHoCq4YCAAAAAHyLRhAAAAAAAoapoQAAAABgoC+tGsoTQQAAAAAIGBpBAAAAAAgYpoYCAAAAgAFWDQUAAAAA+BaNIAAAAAAEDFNDAQAAAMAAq4YCAAAAAHyLRhAAAAAAAoapoQAAAABggFVDAQAAAAC+RSMIAAAAAAHD1FAAAAAAMMCqoQAAAAAA3/LtE8FBNUe7bmFzcxU+dcQzz/5orllNBTmNZrkUidjlysuzy1Vb6xaX7D10LH8bUpdu9+9oOehNf+OTk2MWVxMNx1nMpVLT7XJl7dlll6yqyi7XT3/qFucw9jPSW+Ms5qJclXvMcuWOGW6WS4cr7XJVOuSaP1967z3PsJPT5sdfz3lZZpmk/ZV212RB9ftmuRp/eKNZrvvuM0ult96x+z118Ry763HN/zL8/fkPU93iUh3iotH4avk7iQf22yVzqd9R6z/Zjdf8wwe9IpQvr5g2zan58Rd03u7yFLNceXl2n51yoyfiT5KYKCkz/jww49tGEAAAAAD6ElYNBQAAAAD4Fo0gAAAAAAQMU0MBAAAAwACrhgIAAAAAfItGEAAAAAAChqmhAAAAAGCAVUMBAAAAAL5FIwgAAAAAAcPUUAAAAAAwwKqhAAAAAADfohEEAAAAgIBhaigAAAAAGGDVUAAAAACAb9EIAgAAAEDAMDUUAAAAAAywaigAAAAAwLdoBAEAAAAgYHw7NfRkyki1tnZ+PEvS8YG5nnkqD9jVVDAmZJbriLxrd5Vu+K8YCWV4xmRLOhbK945rOWFQ0QWGP6Tl4/r0dLNUBw+HPWPy86WD1Q5xwxstSmpXE/H+nq6+/HaKWa5p/89us1yKRr1jwmG3uJDdvaJ57ESzXC6lu0ozvB++Ve09JoolvZU83ztu3/sGFZ03YYJZqjE5ZqmkSKpZqvD2//IOmjnTKS75n2YaVNTGclrVmv9l9zvvhx/q4oPJFdr6brZnzKxsaeseh7hJlu+3kmpr7XIZ3g8TK4+Y5XK6ITreNFPeeTPOYr5zNsv7PufqgOFn4CnJ1fEnGTBAysyMP4/PsWooAAAAAMC3aAQBAAAAIGB8OzUUAAAAAPoSVg0FAAAAAPgWjSAAAAAABAxTQwEAAADAAKuGAgAAAAB8i0YQAAAAAAKGqaEAAAAAYIBVQwEAAAAAvkUjCAAAAAABw9RQAAAAADDAqqEAAAAAAN+iEQQAAACAgGFqKAAAAAAYYNVQAAAAAIBv0QgCAAAAQMAwNRQAAAAADPSlVUN92wj+4AfeMUOHesckG/6ENbV2D1AtB0ha9IRZrlPRYU5x0ahDUGYovmIu8vGeNLNcY8eapVK02i7XgQPeMfn5bnEnT4bjL+gi0yY3m+XKy0sxy9U4ZKJZrnBLnVugy8W7fXt8xVwkZcwYu1yWN0TDXJMmGcYlG17ghw/b5ZqUYZaqcewUs1zhU0fcAh3GYXl5nMVcZP7Y/XbJfphqlmrru9lmuWYVtTpEJTrF/XSu23u3q7c3p9slc/rA4KY1J9cs18aNXR9fPE7a8Nk4p1yL5ww3qKjNtBa7z3StmYbjosXw3opeUVVVpXN/9weDvm0EAQAAAADxW7JkiY4ePXrJazSCAAAAAGAgFmtVLNbbVXynrZZElZaW8kQQAAAAAIJkxIgRHV5z/qO3bdu2adGiRZo8ebL++Z//WU899ZQaGhouifn666/1r//6ryosLFRhYaFWrFihmpqa+CsHAAAAAJhxeiK4fft2LVu2TOPHj9cjjzyiqqoqrV+/Xnv27FFpaakSExN1+vRp/fznP1dzc7N+8Ytf6Ny5c3rllVe0b98+bdq0SSkpdgtEAAAAAID/dLGDe6+5/LM/p0bwueee04gRI/Taa68pFGpbCXLEiBFatWqVPvjgA/3oRz/Sn/70J1VXV+uvf/2rrrnmGknS9ddfr3vuuUd/+ctftHDhQqMfBAAAAAAQD8+poU1NTbr66qu1cOHC9iZQkgoLCyVJ+/btkyRt2bJFhYWF7U2gJE2fPl2jR4/Wli1brOsGAAAAAJ9pVdtTQb/81/kWNJ5PBAcOHKhXXnmlw+tlZWWSpOzsbJ05c0Zff/21Zs+e3SFu/Pjxeu+997y+DQAAAACgh1zxqqFHjx7Vjh079Oyzz6qgoEA33XSTvvrqK0lSVlZWh/ihQ4cqEomovr5eQ4YMib9iAAAAAEBcrqgRrK2t1cyZMyVJgwYN0sqVKzVw4MD21UMHDRrU4WsGDhwoSWpsbKQRBAAAANCPnZPko40EldD5kVjMfcvDM2fO6KOPPlJzc7NeffVVlZWVac2aNRo6dKgWL16sJ598UrfffvslX/PCCy/opZde0ocffqihQ4d+/58BAAAAAHwsL69RX33ln0Zw1KgEHT4cvuyxK3oieNVVV6m4uFiSNGfOHM2bN0/PPPOMXnrpJUltC8v8vQuvDR48+IqKbu387xolSYmJ3jGS9OGHV/RtuzRhgl2u2lq7XPmpJ8xyHYwM8/5++dLBg9658jPrDCpq8/GeNLNcY8eapVI0apdrzx7vmFmzpK1bveOuuir+ei42bXKzWa7jp+22krGcZBBucRivaWlSnUOcyz+mqzFj7HIlX/FfA/RIrmMR7+s7O1s6dsw7V3ay3f1QlZVmqVonTTHLZXnfCZ864h2Umysd8Y7bXZtrUFGbiaH9ZrmUmmqWauuebLNcs4ocPsQ4ftj56VznbaGdvL3Z7p5vOWBbU+0+C2zc2PXxxYulDRvcci2eY7hndkuLWarWTO/PdK4SW4zGBNvJ+cr3vnOEQiHNmDFDVVVVGjasbaCdPHmyQ9yJEyeUlpamcPjynSgAAAAA9A+tPvzv8jwbwYqKCs2cOVOlpaUdjjU0NCghIUEpKSnKycnRF1980SFm7969mmD5KA0AAAAAEBfPRnDUqFGqr6/Xxo0b1dz83WPho0ePauvWrZo6dapSU1M1a9Ysbdu2TRUVFe0xH3/8sQ4dOtQ+nRQAAAAA0Ps8/8gjOTlZK1eu1IoVK/Szn/1M8+fP1+nTp1VaWqqEhAT98pe/lCTdd9992rx5s5YuXaply5apqalJ69at0/jx41VSUtLtPwgAAAAA9K6up2P2vM6f+zn9tX9JSYkGDBigdevWafXq1QqHw7rhhhu0fPlyjR49WpKUkZGh1157TatXr9batWsVCoVUVFSkFStWKIU/DAUAAAAA33Be9q24uNhzimd+fr7++Mc/xl0UAAAAAKD7GK4lDgAAAABBdk7+mhra+Z6GV7ShfE86flw6d67z4657SlVX29UUCtnlstwaLKV8t1mu5rETvb9fitTssJ3MqVMGBZ1nue9ifb1drgED7HK5LK7reu4PH467nEsUpNvtzXYkarevUWamWSqFIw4/47Bh0gmHOMN9oN7Ybrdv2YwZZqlMr++Clr3eQePGSXsd4g4dir+gC378Y7tclns4RiJmqWqU4RmTkSHd8qzMAAAbd0lEQVTVOGyTlhFqNKjoPMs3b0uGexL+9Ofe98K335Z++lPvXG9vsf3Q+cSv7fYlXPWQ3R57x7/1Hq+urr666+Ou77eS6S1f4e3/ZZbryJiZZrksJCVJI0f2dhXdLy/vtL76yj+N4KhRiTp8+PID3nYHUgAAAACA7zE1FAAAAABM9J2poTwRBAAAAICAoREEAAAAgIBhaigAAAAAmGhV2/RQ/+OJIAAAAAAEDI0gAAAAAAQMU0MBAAAAwESr/LVqaEKnR3giCAAAAAABQyMIAAAAAAHD1FAAAAAAMHFOrBoKAAAAAPAlGkEAAAAACBimhgIAAACACb9tKM+qoQAAAACA82gEAQAAACBgmBoKAAAAACb8tmooU0MBAAAAAOf59olgokOLmpTkHTNl+LH4i7lg+HCzVO9/aNeD33DDRLNcKdE6h6A0p7j09DSDitrU1pql0rR/bDTLdbw+bJYrEvGOychwiyvIa46/oIv8v68NM8u1bMZBs1w10XyzXKFM758xUVKrQ9zhw/HXc8ENN9jlSja844dCdrlac8Z5xiRKah3rEFdZaVDRedGoXS6XC9dR8/Bcs1wZLS73w7AyQt5xrSG7+6Hy7K7txAP7zXJZvhm9vTndISpFb2/2vp8/8euU+Au6yKpft5rluntphlmu9U8eMculWo+b2LBhSqk94ZQq2eF9oTdY3vOzIwbXUXKyJLtrG/HzbSMIAAAAAH0LU0MBAAAAAD5FIwgAAAAAAcPUUAAAAAAwEVPbpvJ+Eev0CE8EAQAAACBgaAQBAAAAIGCYGgoAAAAAJvy2amjnz/14IggAAAAAAUMjCAAAAAABw9RQAAAAADDB1FAAAAAAgE/RCAIAAABAwDA1FAAAAABMtMpfU0OTOj3CE0EAAAAACBgaQQAAAAAIGKaGAgAAAIAJv60a2nktPBEEAAAAgIChEQQAAACAgEmIxWKx3i7isk6dklpbOz8+bJh04oRnmiPRYWYlRSJmqTRuTLNZrrpoilmus2e9Y7KypOPHHeIG1MRf0Hl1yRlmudJa7Oo6FrWrKz3dOyYclhobveNqa+Ov52KhkG0+Ky7nzFWiurjftAcldn1fOq+5xe53bNGoWSqVldnlmjZot12ynBzvmIwMqcbh2m1pib+eC5Lt/nrC8l5h+SPmVn7sHTR9uvSxd9yu0HSDitpMGVNnlsv0zdvyZugyvtLSpDqHc2E5KCTd/ZDdeF3/J4d7q6Onn7G7t955Z9fH8/Olgwfdcg0eHH89F2R9tdMsV/OkQrNcKVGDazIhQRoyJP48PpeX96m++sruc368Ro1K0eHDky97jCeCAAAAABAwNIIAAAAAEDCsGgoAAAAAJvy2oXzn07N5IggAAAAAAUMjCAAAAAABw9RQAAAAADDBhvIAAAAAAJ+iEQQAAACAgGFqKAAAAACYYNVQAAAAAIBP0QgCAAAAQMAwNRQAAAAATLBqKAAAAADAp2gEAQAAACBgmBoKAAAAACZa1dVKnT2PVUMBAAAAAOfRCAIAAABAwDA1FAAAAABM9J0N5X3bCNYPzFQs1vnxNEl1oWGeeZJb7Gr6wQ/scqm62ixVWovdD1kZzfeMycqSvvnGO1dWqNagovMyM8xSNafa5QqZZZLCyc0OUSlOceF0w4EvacfnYbNc04YeNMt1sNZ7vLrKz4x4B6WlSRHvuOraNIOK2uQmHzPLde212Wa5mlMnmuVKkcvYl5Sa6hlysDIlzmq+k9+y3yxXNNnuvpOfZ/i3J6lj3eLGesdNqd4bZzEX+eyUWarWf7rRLFdi5RGzXK05ud7fT1Jrqvf95ORJg4Iusv5Ju5/z6We8f05Xjz9qN/affqbrSXGPPy5t3OiW65FHDAo6r/nqQrNchh8PFVX872sJkobEXwoMMTUUAAAAAALGt08EAQAAAKBvYUN5AAAAAIBP0QgCAAAAQMAwNRQAAAAATDA1FAAAAADgUzSCAAAAABAwTA0FAAAAABMxdbWJe8/rfGN2nggCAAAAQMDQCAIAAABAwDA1FAAAAABMsGooAAAAAMCnaAQBAAAAIGCYGgoAAAAAJpgaCgAAAADwKRpBAAAAAAgYpoYCAAAAgIlW+WtqaOeb29MIAgAAAEA/VlVVpXPnLm1QfdsINjZK57poptPSpEjEO095uV1NM29otEt2zvDU5+SYpRoXdfkZwxqX5xAXSY27ngvSPnvfLNfu9BvNck1M3muWS2PG2OVqabHLJenaaw2TpdqN1+Rqs1SqU5pnTJpj3PDhBgWd9/En2Wa5JkwwS+V0/3WVEXIYrykpTuM6v3K7QUVtaibY3StqD5ulsj351Q4XUUaGW5yhgzl25z7/8EGzXIpGzVJt3Ogds3ixW9xtt8VfzyVqQ2ap7rzTLJWefsbuL5oef7TzpyRtEh1i2ty91K6udevMUqmy0i5XyGBIJCVJQ4bEnwffz5IlS3T06NFLXvNtIwgAAAAAfYs/Vw0tLS3tO08EAQAAAADxGzFiRIfXWDUUAAAAAALG+Yngtm3btHbtWpWXlys1NVVz5szRQw89pMGDB7fH3Hbbbfr88887fO3s2bO1du1am4oBAAAAwJda1dVKnT0vzlVDt2/frmXLlmn8+PF65JFHVFVVpfXr12vPnj0qLS1VYmKiYrGYKioqVFRUpFmzZl3y9SNHjoyvfgAAAACAGadG8LnnntOIESP02muvKXR+2aARI0Zo1apV+uCDD/SjH/1IlZWVamxs1E9+8hOVlJR0a9EAAAAAgO/P828Em5qadPXVV2vhwoXtTaAkFRYWSpL27dsnSTpw4IAk6ZprrumOOgEAAADA5y5sKO+X/+KYGjpw4EC98sorHV4vKyuTJGVnt+1x9eWXX0r6rhFsbGxUOBz2Sg8AAAAA6GFXvGro0aNH9cYbb+ipp55SQUGBbrrpJkltjeDgwYO1evVqTZ48WZMnT1ZRUZG2bNliXjQAAAAA4PtLiMViMdfg2tpaTZs2TZI0aNAgvfzyy+3/f8stt2jv3r2aPXu2br75ZtXV1Wn9+vUqLy/Xs88+qwULFnTPTwAAAAAAPpCXt1FffRXp7TLajRqVqsOH77zssStqBM+cOaOPPvpIzc3NevXVV1VWVqY1a9Zozpw5ev3119Xa2qolS5a0x0ejUc2bN09nz57V+++/r6SkJOeijx+Xzp3r/Hh2tnTsmHee8nLnb+lp5g2Ndslqa+1yDR9ulysa9Y4Jh6VGh3MRMbwIDP8hd6ffaJZrYvJes1waM8Y7JiVFam72jnP5d7wCNS1pZrkyUh3qd3SkOsUsV3q6d0xamlRX5x130Z9Tx+2TT+xyTZhgl6ulxS5XRsjhfuJ63zE8YTUT7O4Vhw+bpdKUMQ6D0FVlpXfMuHHSXsN7nYODoXFmufJ10CyX5b11w2feP+PixdKGDd65brvNoKCLpNSeMMt1MDLMLNfGjWap9PijHsv7JyZKrW5bANy91G5b7nXrzFKZ3ncs3teSkqQgbCTQlxrBKxq5V111lYqLi7VgwQKVlpYqOztbzzzzjCRp0aJFlzSBkhQKhVRSUqJTp061LyYDAAAAAOhd3/tXGKFQSDNmzFBVVZVqamo6jcvIyJDUtngMAAAAAPRfvb1K6OX+uzzPRrCiokIzZ85UaWlph2MNDQ1KSEjQ2bNnNXfuXL344osdYg4dOiRJysnJ8fpWAAAAAIAe4NkIjho1SvX19dq4caOaL/rbpKNHj2rr1q2aOnWqRo4cqfr6em3atEmRi/4urKqqSm+88YamTZumoUOHds9PAAAAAAC4Ip77CCYnJ2vlypVasWKFfvazn2n+/Pk6ffq0SktLlZCQoF/+8peSpCeeeEIPPvig7rzzTt1+++1qaGhQaWmpkpOT9atf/arbfxAAAAAA6F0XNpT3izg2lJekkpISDRgwQOvWrdPq1asVDod1ww03aPny5Ro9erQkqaioSL///e/18ssv6/nnn1coFFJhYaEefvjh9k3mAQAAAAC9z6kRlKTi4mIVFxd3GVNUVKSioqK4iwIAAAAAdB/nRrCnZf1//6frPaMWLlT2h//hmSd7xgyzmmqidnvhpGaGzXKl1Ha+auuVqkvO8IxJk1TX4l1/WvSUQUVtGn9ot59X2V/NUmniCLuf8Vi6955S2dnSsVPee+dFo3b760lSfqbhvmWf7DFLNfyH081ypURcrqMMpbU4xLXYbSQ4fYLhhn2GGxweP203xnZ86X0/mTZN2vG5Q5zhBocuW+y5ysuzy9UcstvX83Cy932nQNJ+hzhLmQ77erpqTs03y5XyzptmuRbPcdkDOEOL53jfcxpbvN+7r0Rypt3nncHOu1V7e+QRu1xee/+tX+++P+D6P7ntN+ji8ZV2exI+/Qu7PTSPD4z/Okq0+9F8rlVdTcfseZ3XEph/EgAAAABAG98+EQQAAACAvqXrvft6Xhz7CAIAAAAA+hcaQQAAAAAIGKaGAgAAAICJvrOPIE8EAQAAACBgaAQBAAAAIGCYGgoAAAAAJlg1FAAAAADgUzSCAAAAABAwTA0FAAAAABOsGgoAAAAA8CkaQQAAAAAIGKaGAgAAAIAJVg0FAAAAAPgUjSAAAAAABAxTQwEAAADARKu6Wqmz57FqKAAAAADgvIRYLBbr7SIu6/hx6VwXf2iZnS0dO+aZpjE926yk+nqzVPrmG7tc44bXmOXaXZnhGTNxorR7t3euiXl1BhWdl2z48Now15HqFLNcuekO5ystTapziItE4i/oIruq7a6j1FSzVCpI9b4HOKut9Y4ZN07au9cz7GBonEFBbdLTzVLp22/tcjU12eWyHPv7q9MMKmqTk2OWSuHICbtkhtf3sVC+Z4zj262yM5sNKrK3u9zuPn32rFkqTRvtMCaGDZNOOMTt2RN/Qd3F8KbfPKnQLJeXlBSp2XFI//rXdt/36SftniQ9/Ijd8541zxvVldj/n0Hl5a3VV1+d6e0y2o0adZUOH/7vlz3G1FAAAAAAMMGG8gAAAAAAn6IRBAAAAICAYWooAAAAAJhgQ3kAAAAAgE/RCAIAAABAwDA1FAAAAABMMDUUAAAAAOBTNIIAAAAAEDBMDQUAAAAAEzF1tYl7z4t1eoQnggAAAAAQMDSCAAAAABAwTA0FAAAAABOsGgoAAAAA8CkaQQAAAAAIGKaGAgAAAIAJpoYCAAAAAHyKRhAAAAAAAsa3U0M3b89SQ0Pnxxcvlja8l+2ZZ/FtzWY11SvFLFdenlkqNSdnmOWaMMEwLhJXKZc6dcouV06OWarhw81SSaccTlhamhTxjmtM9742rsSU1Dq7ZC0tZqlaDX/OxFDILdDhHz0/3W4j2Zpau9/XZSWcMMvVmDnMLNdb76V5xhQXS2996BB3Q41FSW2idqma0+3OV0rUrrDs6EGHqHy3uGhm3PW0q601S5WXl2uW68ABs1RqdbiGEh3jKsfMNKjoO8mGnw4zDYeF4duHKiu7Pl5QIB0+7Jbr6V+4XEduHn4k3yzXmuft3otmzYn/vSgrS3r1VYNifK9V/poa2vk44IkgAAAAAAQMjSAAAAAABIxvp4YCAAAAQN/CqqEAAAAAAJ+iEQQAAACAgGFqKAAAAACYaFVXK3X2PFYNBQAAAACcRyMIAAAAAAHD1FAAAAAAMMGG8gAAAAAAn6IRBAAAAICAYWooAAAAAJhgQ3kAAAAAgE/RCAIAAABAwDA1FAAAAABMMDUUAAAAAOBTNIIAAAAAEDBMDQUAAAAAE31nQ3nfNoIVFVJtbdcx5eXeeVqTU2wKktTUZJZKQ4bY5UppabRL5jIkUlKU2NLsGdYcSjOop01Lpl2ucNTufKWcOmWWSy0tbnHRqGdIfX2ctfydcIPhz5mebpYq8dQJs1yKRLxjMjK8b0ySmlMzDApqU11tlkqR1GFmuXJbjpnlKp7gMvZzVTzhiGfUsWhu/AWdZzhUFY7W2SVLTbXL5XA/kSSFQt4xn3wSXy0XOTJmplmu3KjdfWJKsuEF2TLWO8bx/Vay+6wjSdmR/XbJUoebpYrK7rOAy5B2iZGkmtT8+Iq5yJpnXP693cyaYzcutr7TeTNxZZiM6Cf8awAAAABAwPj2iSAAAAAA9C2sGgoAAAAA8CkaQQAAAAAIGKaGAgAAAICJVnW1UmfP67wWnggCAAAAQMDQCAIAAABAwDA1FAAAAABM9J0N5XkiCAAAAAABQyMIAAAAAAHD1FAAAAAAMMGG8gAAAAAAn6IRBAAAAICAYWooAAAAAJhg1VAAAAAAgE/RCAIAAABAwDA1FAAAAABMtKqr6Zg9r/NafNsIpqV5x6Snd38dF0tKssuVkGCXSzJN5ku+PV+Wg8JVsvdlm2j9rN/hezqzLM4yl+vPaHkuHAwYYJfLdLhaJovFzL6nb+/Tlsksx73rCXOJC4Xiq+UKv50zy/NleUEaMn8rsrzPGY59y0vS5Zy5nlfz91wjWVm9XUEw5eT8oLdLuMSFeqqqqnTu3KV/u5gQi7m+AwMAAAAA+pJoNKobb7xRZ86cueR1GkEAAAAA6Kfq6upUV1fX4XUaQQAAAAAIGJ/OagYAAAAAdBcaQQAAAAAIGBpBAAAAAAgYGkEAAAAACBgaQQAAAAAIGBpBAAAAAAgYGkEAAAAACBgaQQAAAAAImOTeLuBKff3113r22We1c+dOSdKMGTP06KOPKiMjo5cr6/9uu+02ff755x1enz17ttauXdsLFfV/K1eu1FdffaVXX331kte5DnpGZ+efa8HeBx98oD/84Q/64osvlJiYqOuvv14PPfSQJk2a1B7DuO8eLueeMd99tm3bprVr16q8vFypqamaM2eOHnroIQ0ePLg9hrHfPVzOPWMf/VmfagRPnz6tn//852pubtYvfvELnTt3Tq+88or27dunTZs2KSUlpbdL7LdisZgqKipUVFSkWbNmXXJs5MiRvVRV/7Zp0yZt2rRJhYWFl7zOddAzOjv/XAv2du7cqfvuu0/XXnutli9frpaWFm3YsEF33XWXNmzYoIkTJzLuu4nLuWfMd5/t27dr2bJlGj9+vB555BFVVVVp/fr12rNnj0pLS5WYmMjY7yYu556xj34v1oesWbMmdt1118UOHDjQ/tpHH30UKygoiP35z3/uxcr6vyNHjsQKCgpi//mf/9nbpfR7LS0tsd/97nexf/iHf4gVFBTE7rrrrkuOcx10L6/zz7Vgr6SkJDZjxoxYY2Nj+2snT56MTZ06NbZ06dJYLMa47y4u554x331uueWW2I9//OPY2bNn21977bXXYgUFBbH33nsvFosx9ruLy7ln7KO/61N/I7hlyxYVFhbqmmuuaX9t+vTpGj16tLZs2dKLlfV/Bw4ckKRLzj3sNTU16ZZbbtHvfvc7lZSUKCsrq0MM10H3cTn/XAu2zpw5o/Lycs2ZM0eDBg1qfz0zM1NTp07Vp59+Kolx3x1czz1jvns0NTXp6quv1sKFCxUKhdpfvzALYd++fZIY+93B9dwz9tHf9ZmpoWfOnNHXX3+t2bNndzg2fvx4vffeez1fVIB8+eWXkr67GTY2NiocDvdmSf1SU1OTIpGIXnjhBRUXF2vmzJmXHOc66F5e51/iWrCWmpqqd95555JG5ILTp08rKSmJcd9NXM69xJjvLgMHDtQrr7zS4fWysjJJUnZ2NmO/m7ice4mxj/6vzzwRPH78uCRd9jf0Q4cOVSQSUX19fU+XFRhffvmlBg8erNWrV2vy5MmaPHmyioqK+G2ksdTUVG3dulXFxcWXPc510L28zr/EtWAtKSlJeXl5HcZ0eXm5du3apcmTJzPuu4nLuZcY8z3l6NGjeuONN/TUU0+poKBAN910E2O/h1zu3EuMffR/feaJYENDgyRd9jeXAwcOlNT2m5ohQ4b0aF1BceDAATU0NKi+vl7PPfec6urqtH79ej388MP69ttvtWDBgt4usV9ITExUYmLnv5/hOuheXudf4lroCQ0NDfq3f/s3SdK//Mu/MO570N+fe4kx3xNqa2vbZyAMGjRIK1eu1MCBAxn7PaCzcy8x9tH/9ZlGsLW11TPG6wMcvr+FCxeqtbVVS5YsaX9t7ty5mjdvnn7729/q5ptvbp9GhO7DddD7uBa619mzZ/XAAw+ovLxc999/vwoLC/W3v/3N8+sY9/G73LmXGPM9ISEhQS+88IKam5v16quv6p577tGaNWs0dOhQz69l7Mens3M/Z84cxj76vT5z97iwp0tTU1OHYxdeu3jfF9hatGjRJTdCSQqFQiopKdGpU6fa/6Aa3YvroPdxLXSfuro6LVu2TDt27NCtt96q5cuXS2Lc94TOzr3EmO8JV111lYqLi7VgwQKVlpYqOztbzzzzDGO/B3R27iXGPvq/PtMIXvjD3ZMnT3Y4duLECaWlpfEHvL3gwma2jY2NvVxJMHAd+BfXQny++eYb3X333dq1a5fuuOMOPfXUU0pISJDEuO9uXZ37rjDmu0coFNKMGTNUVVWlYcOGSWLs95SLz31NTU2ncYx99Bd9phFMS0tTTk6Ovvjiiw7H9u7dqwkTJvRCVcFw/PhxzZ07Vy+++GKHY4cOHZIk5eTk9HRZgcR10Lu4FrpHJBLRvffeq7KyMi1dulSrVq26pBFh3Hcfr3PPmO8+FRUVmjlzpkpLSzsca2hoUEJCglJSUhj73cDl3J89e5axj36vzzSCkjRr1ixt27ZNFRUV7a99/PHHOnToUJer/CE+WVlZqq+v16ZNmxSJRNpfr6qq0htvvKFp06Y5/R0DbHAd9B6uhe6xatUqlZWV6e6779Zjjz122RjGfffwOveM+e4zatQo1dfXa+PGjWpubm5//ejRo9q6daumTp2q1NRUxn43cDn3I0eOZOyj30uIxWKx3i7CVU1NjebNm6ekpCQtW7ZMTU1NWrdunXJzc7Vx40alpKT0don91rvvvqsHH3xQ1157rW6//XY1NDSotLRU3377rV5//XU2W+0mM2fO1MiRI/Xqq6+2v8Z10HMud/65FmxVVFSouLhYQ4YM0eOPP37ZhRdKSkoY993A9dwz5rvP5s2btWLFCk2aNEnz58/X6dOn28/thg0bVFBQwNjvJi7nnrGP/q5PNYKSdPDgQa1evVqffPKJQqGQfvSjH2nFihXt87XRfd599129/PLLKi8vVygUUmFhoR5++GFuhN3oco2IxHXQUzo7/1wLdl5//XX9+te/7jJm3759khj31q7k3DPmu89bb72ldevWaf/+/QqHw7rhhhu0fPlyjR49uj2Gsd89XM49Yx/9WZ9rBAEAAAAA8elTfyMIAAAAAIgfjSAAAAAABAyNIAAAAAAEDI0gAAAAAAQMjSAAAAAABAyNIAAAAAAEDI0gAAAAAAQMjSAAAAAABAyNIAAAAAAEzP8P7KpvgkeZrGgAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure(figsize=(20, 14))\n", "im = plt.imshow(J_sk, **cmap_args)\n", @@ -6177,9 +6213,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "_lambda = 0.1\n", "clf_ridge = skl.Ridge(alpha=_lambda).fit(X_train, y_train)\n", @@ -6228,9 +6275,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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Xf/1XzJ8/P26++eZitXDYsGHx8MMPx+jRo6OysjK6desWTz75ZDz11FNx/fXXb7V98uPatGkTV1xxRVx88cUxceLEOsNaNuvQoUP8/ve/jxkzZsTBBx9cTNIbsttuu8X3vve9uOSSS+LUU0+N008/PXbfffeoqqqKv//97zFx4sRo0aJFVFRURNu2bWP8+PHx97//Pdq3bx/PPfdcPPbYY7VeTwCQFIkgwFY8+uijW7y+//77xxe/+MWYNm1a3HDDDTFz5swoFAqx7777xlVXXRWbNm2K73//+/Hiiy9G796947rrrot99tkn5s6dG3Pnzo3WrVvHF7/4xRg9enRxuMe3vvWt+PSnPx0PP/xw3HjjjZHL5eLggw+Om266Kbp37x4REZ/+9KfjwQcfjFtuuSUee+yxWLVqVeyzzz5x2WWXxYgRIxL7uXfWcz6pvLw8brnllpgzZ07MmTMn7rvvvli9enV86lOfikMOOSTGjh0bBx10UHF9q1at4t57741bbrkl5s6dG6tXr47u3bvHLbfcEieeeGKjn3vCCSfEl770pXjooYfiK1/5SnE4z8ddcMEFxUT01FNPbXQiGBExcODAuOuuu2Lq1Knxox/9KMrLy+Nzn/tcTJ06NY455piI+HDgzrRp02LixInxox/9KFq2bBndunWLH/zgB/HCCy/EzJkzY9myZbUG8wDAjigr1DcVAAAAgF2O9wgCAABkjEQQAAAgYySCAAAAGWNYDAAAwC5q1apVW/yIJMNiAAAAdtAHy5dH639MA0+TdevWxVFHHVX8DOTNUpsIfuKzhOsoL294TUTE/vvflUxAEfH666MS26s5a+zZkzxnX1rOv3Scfek4+9Jx9qXj7Gvbf/9ZO7xH1657xP/8z5AEokm3u770pVi1eHGpwyhq37VrjPqf/4mlS5dGPp+vdW+Xbw198826ZVAAAKBx3nxzTalDaDZWLV4cK998s9Rh1NGlS5c61wyLAQAAyJjEE8FFixbFN7/5zejXr1/069cvLrvssli+fHnSjwEAAEiV8hR+bU2iraErVqyI8847LzZs2BAXXHBB5PP5mD59esyfPz+qqqqiZcuWST4OAACA7ZBoInj33XfHW2+9FT//+c+je/fuERHRp0+fGDlyZDzyyCMxdOjQJB8HAADAdki0NXTu3LnRr1+/YhIYEXH44YdHt27dYu7cuUk+CgAAIFVK3Qa6La2hiSWCK1eujEWLFkWvXr3q3OvVq1e8+OKLST0KAACAHZBYIvj2229HRESnTp3q3OvYsWOsWbMmVq9endTjAAAA2E6JvUewuro6IiJat25d597uu+8eERFr166Ndu3aNWq/8kakqI1ZUyhc0qjnsW0ac/Y0DWdfWs6/dJx96Tj70nH2pePsP1IoXFjqEJqNhtoxd7adMjW0pqam4UC24X9RDW1XXt7wmoiIXO6WRj+zIfm8pDKi8WdP8px9aTn/0nH2pePsS8fZl46zry2X+/EO7/HZz7aNv/2tMoFoSEpiCesee+wRERHr16+vc2/ztc1rAAAAKJ3EKoJ77bVXRES8++67de6988470b59+2jTpk1SjwMAAEiVskhXa2hZPfcSi7N9+/bRtWvXeOmll+rce/nll6N3795JPQoAAIAdkGjCOmDAgHjmmWdi4cKFxWtPP/10vPHGG3HSSScl+SgAAAC2U2KtoRERX/3qV2POnDkxYsSIGDVqVKxfvz7uvPPO6NWrVwwePDjJRwEAAKRKc5oammicHTp0iPvuuy8OOOCAmDx5ctxzzz3Rv3//uPPOO6Nly5ZJPgoAAIDtlGhFMCJi//33jzvuuGOH95k/P2Ljxq3fP+igiBdfbHifJD/yIZe7JrG98vmxie0FAABNJZ/3OYK7osQTQQAAgCzKbGsoAAAA6ScRBAAAyBitoQAAAAnQGgoAAEBqSQQBAAAyRmsoAABAAsoiXZW2snrupSlOAAAAdgKJIAAAQMZoDQUAAEiAqaEAAACkloogAABAAsqi/gEtO5thMQAAABRJBAEAADJGaygAAEACcv/4Sov6YlERBAAAyBiJIAAAQMZoDQUAAEhAWaSr0lbf1NDUJoI9eza8pnfvhtcsXrzjsWyWz49NbK9c7prE9koyLgAAYNeXpoQVAACAnSC1FUEAAIDmpDzSVWmrL5Y0xQkAAMBOIBEEAADIGK2hAAAACdAaCgAAQGpJBAEAADJGaygAAEACtIYCAACQWhJBAACAjNEaCgAAkICySFelrayee2mKEwAAgJ1AIggAAJAxWkMBAAASYGooAAAAqSURBAAAyBitoQAAAAkoi/onde5spoYCAABQtMtXBLt2TW6v999Pbq98fmxie+Vy30xsr3x+SmJ7AQAA6bTLJ4IAAAA7Q+4fX2lRXyxaQwEAADJGIggAAJAxWkMBAAASUBbpqrSZGgoAAECRRBAAACBjtIYCAAAkoDzSVWmrL5Y0xQkAAMBOIBEEAADIGK2hAAAACdAaCgAAQGpJBAEAADJGaygAAEACtIYCAACQWhJBAACAjNEaCgAAkICySFelrayee2mKEwAAgJ1AIggAAJAxWkO3wac/ndxemzYlt1c+PyWxvXK50Q2uKRQmNWpdPj8piZAAAKBZMDUUAACA1JIIAgAAZIzWUAAAgASURf2TOnc2U0MBAAAokggCAABkjNZQAACABOT+8ZUW9cWiIggAAJAxEkEAAICM0RoKAACQgLJIV6XN1FAAAACKJIIAAAAZozUUAAAgAeWRrkpbfbGkKU4AAAB2AokgAABAxmgNBQAASIDWUAAAAFJLIggAAJAxWkMBAAAS0JxaQyWCJdIiwZNfty65vfL5SYmty+XG7Wg4H3ve1YntBQAAWbJ06dLI5/O1rkkEAQAAdmGVlZWxZMmSWtckggAAAAkoi3S1hpb94z9nzZqlIggAAJAlXbp0qXMtTQkrAAAAO0HiFcHTTz89/vrXv9a5PnDgwJg8eXLSjwMAAEiFzE4NLRQKsXDhwujfv38MGDCg1r299947yUcBAACwnRJNBBcvXhxr166N4447LgYPHpzk1gAAACQk0UTwtddei4iI7t27J7ktAABA6pXFR5M606C+WBJtYV2wYEFEfJQIrl27NsntAQAASEDiieAee+wR48ePj4qKiqioqIj+/fvH3Llzk3wMAAAAOyDx1tDq6upYvXp1TJgwIVatWhUzZ86MSy+9NDZu3BhDhgxp9F7ljUhRG7MmC9q02fnPbMzZFwpXN30gGeR1X1rOv3Scfek4+9Jx9qXj7NkeuX98pUV9sZQVCoVCUg964IEHoqamJiorK4vX1q1bFyeffHJ88MEH8d///d+RyzXuaGpq6r9fXt7wmqxYty65vVq1anhNY88+lxu34wH9Qz4vqYzwui815186zr50nH3pOPvScfZNIwvJ9Z/22y/Wv/lmqcMo2v2zn42D//a3Ld5L9I/jrLPOqpUERkS0atUqBg8eHMuWLSsOkwEAAKB0Ev9A+S3p0KFDRBgeAwAA7LrKIl0fKL9Tpoa+/fbbMWjQoJgyZUqde2+88UZERHTt2jWpxwEAALCdEksEO3XqFKtXr46qqqpYs2ZN8frSpUtj9uzZcdhhh0XHjh2TehwAAADbKdHW0KuvvjouuuiiGDZsWJxxxhlRXV0ds2bNihYtWsQ111yT5KMAAABSpTzS1RpaXyyJxtm/f/+47bbbonXr1jFx4sSYMWNG9O3bNx544IHih8wDAABQWol+fESSfHxEaXysq3er2rePWLWq4XVt2+54PJvlct9JbK98fmJie+1sXvel5fxLx9mXjrMvHWdfOs6+aWTh4yP+d7/9YkOKPj6i5Wc/G3228vERO2VqKAAAwK4us62hAAAApJ9EEAAAIGO0hgIAACRAaygAAACpJREEAADIGK2hAAAACSiLdFXayuq5l6Y4AQAA2AkkggAAABmjNRQAACABpoYCAACQWhJBAACAjNEaCgAAkICyqH9S585maigAAABFEkEAAICM0RoKAACQgFxE1JQ6iI/J1XNPRRAAACBjJIIAAAAZozWUWtq2TW7dpk07FsvH5fMTE9srl/teYnvl89clthcAAM1bWaSr0mZqKAAAAEUSQQAAgIzRGgoAAJCA8khXpa2+WNIUJwAAADuBRBAAACBjtIYCAAAkQGsoAAAAqaUiCAAAkAAVQQAAAFJLIggAAJAxWkMBAAASUBbpqrSV1XMvTXECAACwE0gEAQAAMkZrKAAAQALKI6JQ6iA+xtRQAAAAiiSCAAAAGaM1FAAAIAFlUf+kzp3N1FAAAACKVARpMi1S+urK569LbK9c7uLE9srnf5jYXgAAUJ+U/qoOAADQvORKHcAn1BeP1lAAAICMkQgCAABkjNZQAACABJRFuiptpoYCAABQJBEEAADIGK2hAAAACUhbla2+eNIWKwAAAE1MIggAAJAxWkMBAAASkLYqm9ZQAAAAiiSCAAAAGaM1FAAAIAFpq7JpDQUAAKBIIggAAJAxWkMBAAASUBbpqrSV1XMvTXECAACwE0gEAQAAMkZrKJmzbl1ye+XzP0xsr1zulgbXFAqXNGpdPn9JEiGxncqjJrG9avx9HQA0G+URUSh1EB+jNRQAAIAiiSAAAEDGaA0FAABIgNZQAAAAUksiCAAAkDFaQwEAABKgNRQAAIDUkggCAABkjNZQAACABJRF/e2YaaIiCAAAkDESQQAAgIzRGgoAAJCA5lRla06xAgAAkACJIAAAQMZoDQUAAEhAc6qyNadYAQAASIBEEAAAIGO0hgIAACSgOVXZJIJkTqtWye21eHFye+XzlyS2Lpe7YUfD+cQzr0h0v11dTbP6vwEAIIskggAAALuwpUuXRj6fr3VNIggAAJCAsrKyiLKyUofxkX/EUllZGUuWLKl1SyIIAACwC5s1a5aKIAAAQJZ06dKlzrXtSgTHjBkTb775Ztx77721ri9atChuvPHGeP755yMi4uijj44rrrgiOnTosD2PAQAAaD5atPjwKy3qiWWbo6yqqoqqqqro169fresrVqyI8847LzZs2BAXXHBB5PP5mD59esyfPz+qqqqiZcuW2x44AAAAiWt0IpjP52Pq1KkxZcqULd6/++6746233oqf//zn0b1794iI6NOnT4wcOTIeeeSRGDp0aDIRAwAAsEMalQiuX78+zjjjjJg/f34MGTIknnnmmTpr5s6dG/369SsmgRERhx9+eHTr1i3mzp0rEQQAAHZtuVy6WkNzua3eatSnHq9fvz7WrFkTkyZNihtvvDFafOKHW7lyZSxatCh69epV53t79eoVL7744jZGDAAAQFNpVLratm3bePzxx+skgJu9/fbbERHRqVOnOvc6duwYa9asidWrV0e7du12IFQAAACS0KhEsLy8PMrLt148rK6ujoiI1q1b17m3++67R0TE2rVrtykRrOdx27SGpuHsP7Tvvjv/mY05+0LhiqYPJKO89kvH2ZeOsy8dZ186zp7tsitPDd2SmpqaBtfUl0huec+G9mt4DU3D2X9k8eLk9urateE1jT37XO6GHQ/oY/J5iWWE134pOfvScfal4+xLx9k3Dcl1uiTyx7HHHntExIfvJfykzdc2rwEAAKC0EqkI7rXXXhER8e6779a5984770T79u2jTZs2STwKAAAgnXa1qaENad++fXTt2jVeeumlOvdefvnl6N27dxKPAQAAIAGJdeoOGDAgnnnmmVi4cGHx2tNPPx1vvPFGnHTSSUk9BgAAgB2UWN3yq1/9asyZMydGjBgRo0aNivXr18edd94ZvXr1isGDByf1GAAAgHRqRlNDE6sIdujQIe6777444IADYvLkyXHPPfdE//79484774yWLVsm9RgAAAB20Halq7/5zW+2eH3//fePO+64Y4cCAgAAoGmlqG4JzU9jPvuvsTZtanhNy5aNW5f05/7lct9LbK98/rrE9gIASJWsTQ0FAACg+ZAIAgAAZEyK6pYAAADNWBanhgIAANA8SAQBAAAyJkV1SwAAgGbM1FAAAADSSiIIAACQMSmqWwIAADRjpoYCAACQVhJBAACAjElR3RIAAKAZMzUUAACAtJIIAgAAZEyK6pYAAADNmKmhAAAApCJwjc8AACAASURBVJVEEAAAIGNSVLcEAABoxprR1NAURQnZ1th/ZzRm3aZNOxbLJ+Xz1yW2Vy43MrG98vkZie0FAJAlWkMBAAAyRkUQAAAgCaaGAgAAkFYSQQAAgIxJUd0SAACgGWtGU0NVBAEAADJGIggAAJAxKapbAgAANGOmhgIAAJBWEkEAAICMSVHdEgAAoBkzNRQAAIC0kggCAABkTIrqlgAAAM2YqaEAAACklUQQAAAgY1JUtwQAAGjGTA0FAAAgrVKUrgJJSfovojZtSm6vfH5GYnvlciMT2yvJuAAA0k4iCAAAkARTQwEAAEirFKWrAAAAzZhhMQAAAKSVRBAAACBjUlS3BAAAaMYMiwEAACCtJIIAAAAZk6K6JQAAQDNmaigAAABpJREEAADImBTVLQEAAJoxU0MBAABIK4kgAABAxqSobgkAANCMmRoKAABAWkkEAQAAMiZFdUsAAIBmrBlNDU1RlEBapenfZx+Xz89IbK9c7psNrikUpjRqXT4/JYmQgASUr1ub2F41rdokthdAqWkNBQAAyJiU/j0/AABAM2NqKAAAAGklEQQAAMiYFNUtAQAAmrFmNDVURRAAACBjJIIAAAAZk6K6JQAAQDNmaigAAABpJREEAADImBTVLQEAAJoxU0MBAABIK4kgAABAxqSobgkAANCMmRoKAABAWkkEAQAAMiZFdUsAAIBmzNRQAAAA0ipF6SpA6eTzUxJbl8tds6PhfOx5YxPbC7KoplWbUocAUHJLly6NfD5f65pEEAAAIAkpnRpaWVkZS5YsqXUrRVECAACQtFmzZqkIAgAAZEmXLl3qXNuuRHDMmDHx5ptvxr333lvr+umnnx5//etf66wfOHBgTJ48eXseBQAA0Dw0o6mh2xxlVVVVVFVVRb9+/WpdLxQKsXDhwujfv38MGDCg1r299957Wx8DAABAE2l0IpjP52Pq1KkxZcqWJ+YtXrw41q5dG8cdd1wMHjw4sQABAABIVqMSwfXr18cZZ5wR8+fPjyFDhsQzzzxTZ81rr70WERHdu3dPNkIAAIDmIKVTQ7ekUR8ov379+lizZk1MmjQpbrzxxmixhR9uwYIFEfFRIrh27drtCRUAAIAm1qh0tW3btvH4449vMQHcbMGCBbHHHnvE+PHj47HHHou1a9fGPvvsE6NHj45BgwYlFjAAAAA7plGJYHl5eZSX1188fO2116K6ujpWr14dEyZMiFWrVsXMmTPj0ksvjY0bN8aQIUO2KbAGHtfoNTQNZ186zr60GnP+hcLYpg8kg7z2S8fZl46zLx1nz3bZlaeGbs3QoUOjpqYmKisri9cGDRoUJ598ctx0001xyimnRK6eHtVPqqmp/355ecNraBrOvnScfWk19vxzuWsSe2Y+L6mM8NovJWdfOs6+dJx905Bcp0tifxxnnXVWrSQwIqJVq1YxePDgWLZsWXGYDAAAAKXV5HXLDh06RIThMQAAwC5uV5sa2pC33347Bg0atMXPGHzjjTciIqJr165JPAoAAIAdlEgi2KlTp1i9enVUVVXFmjVriteXLl0as2fPjsMOOyw6duyYxKMAAADYQYnVLa+++uq46KKLYtiwYXHGGWdEdXV1zJo1K1q0aBHXXJPc4AQAAIBUakZTQxMbFtO/f/+47bbbonXr1jFx4sSYMWNG9O3bNx544IHih8wDAABQetuVrv7mN7/Z4vX+/ftH//79dyggAAAAmlaK6pbQ/JRHch8yVJNcgZ7tsGlTw2tatmzcuiQ/+y+XOz+xvfL56YntBQBsQdamhgIAANB8SAQBAAAyJkV1SwAAgGYsi1NDAQAAaB4kggAAABmTorolAABAM2ZqKAAAAGklEQQAAMiYFNUtAQAAmjFTQwEAAEgriSAAAEDGpKhuCQAA0IyZGgoAAEBaSQQBAAAyJkV1SwAAgGbM1FAAAADSSiIIAACQMSmqWwIAADRjzWhqaIqihOanRlF9l9HYf2fv7H+35/PTE9srl/tOYnvl8xMT2wsA2Pn8FgsAAJAxKoIAAABJMDUUAACAtJIIAgAAZEyK6pYAAADNWDOaGqoiCAAAkDESQQAAgIxJUd0SAACgGTM1FAAAgLSSCAIAAGRMiuqWAAAAzZipoQAAAKSVRBAAACBjUlS3BAAAaMZatIjI50sdxUdMDQUAAGAziSAAAEDGaA0FAABIgqmhAAAApFWK0lUAmlI+PzGxvXK5qxLbK5+/PrG9AIDGkQgCAAAkoUWLiJqaUkfxEVNDAQAA2EwiCAAAkDFaQwEAAJJgaigAAABpJREEAADImBTVLQEAAJqxFi0iCoVSR/ERU0MBAADYTCIIAACQMVpDAQAAkpDLpas11NRQAAAANpMIAgAAZIzWUAAAgCSk6cPkI0wNBQAA4CMpS1kBAACaqXqGs5SEYTEAAABsJhEEAADIGK2hAAAASWjRIqKsrNRRfKSe1lCJ4DbYtCm5vdI2UAhgW+Tz1ye2Vy53U4NrCoXvNmpdPv/dJEICgF2e1lAAAICMUZcCAABIQi6XrtbQ8q3X/VQEAQAAMkYiCAAAkDFaQwEAAJLQokVETU2po/iI1lAAAAA2kwgCAABkjNZQAACAJORy9bZj7nT1TDBNUZQAAADsDBJBAACAjNEaCgAAkIQWLSIKhVJH8RGtoQAAAGwmEQQAAMgYraEAAABJyOVKHUGjqQgCAABkjEQQAAAgY7SGAgAAJKFF80mvVAQBAAAypqxQSNMHXXykpqb+++XlDa+haTj70nH2peX8S6exZ5/LXZzYM/P5Hya2V3PmdV86zr50nH3TKM9CCSqNL5zy8li6dGnk8/lal5tP7RIAACDFalLYcFkeEZWVlbFkyZJa1yWCAAAAu7BZs2apCAIAAGRJly5d6lxrdCI4b968mDp1arz00ktRXl4effr0iUsuuST69u1bXLNo0aK48cYb4/nnn4+IiKOPPjquuOKK6NChQwLhAwAApNemTaWOoK6WLbd8vVHDYp5//vkYPnx4fO5zn4vTTjstNm3aFPfff3+88847cf/998dBBx0UK1asiNNOOy02bNgQw4cPj3w+H9OnT4+99947qqqqouXWItgKw2LSy9mXjrMvLedfOobFlI7Xfek4+9Jx9k0jC8NiNmwodQR1bS0Na1RF8Prrr48uXbrEQw89FK1bt46IiCFDhsRJJ50UkyZNihkzZsTdd98db731Vvz85z+P7t27R0REnz59YuTIkfHII4/E0KFDk/lJAAAA2CEN5uUrV66MV199NU444YRiEhgRseeee8ahhx4af/7znyMiYu7cudGvX79iEhgRcfjhh0e3bt1i7ty5TRA6AABAeuTzH7aHpuXrE/NhammwIti2bdv4xS9+USsJ3GzFihWRy+Vi5cqVsWjRohg4cGCdNb169Yonn3xymw4QAACAptNgRTCXy8V+++0XnTp1qnX91VdfjT/96U9RUVERb7/9dkREnTURER07dow1a9bE6tWrEwoZAACAHbFdHx9RXV0dl19+eUREfO1rX4vq6uqIiC1WDXffffeIiFi7dm20a9eu0c9ozJtJs/CG07Ry9qXj7EvL+ZdOY86+UDDgpSl43ZeOsy8dZ8/22LQpouFRnDtPWdnW721zIvjBBx/E17/+9Xj11VfjwgsvjH79+sUf//jHBr+vfBv/12RqaHo5+9Jx9qXl/EvH1NDS8bovHWdfOs6+aUiu02Wb/jhWrVoVo0aNiueeey5OO+20GD16dERE7LHHHhERsX79+jrfs/na5jUAAACUVqMrgu+9916cf/758corr8SZZ54ZY8eOjbJ/1Br32muviIh4991363zfO++8E+3bt482bdokFDIAAED65PPpqibXV4VtVCK4Zs2aYhI4YsSIuPLKK2vdb9++fXTt2jVeeumlOt/78ssvR+/evbctYgAAAJpMo1pDx40bF6+88koMHz68ThK42YABA+KZZ56JhQsXFq89/fTT8cYbb8RJJ52UTLQAAADssLJCof65NgsXLoyTTjop2rVrF1dddVXkcrk6awYPHhzLly+Pk08+OXK5XIwaNSrWr18fd955Z+y7777xk5/8JFq2bLlNgRkWk17OvnScfWk5/9IxLKZ0vO5Lx9mXjrNvGlkYFrNsWbpeO+XlEXvuueV7DSaCDzzwQFx77bX1PmD+/PkREfH666/H+PHj4w9/+EO0atUqvvzlL8dll10WHTp02OagJYLp5exLx9mXlvMvHYlg6Xjdl46zLx1n3zQkgjvfDiWCpSIRTC9nXzrOvrScf+lIBEvH6750nH3pOPumIRHc+epLBLfrA+UBII2STN5yuasS2yufvz6xvQBIr3z+w6+02MK7+ooykJcDAADwcRJBAACAjNEaCgAAkIBNm9LVGlrfNBgVQQAAgIyRCAIAAGSM1lAAAIAE5PMftoc2ByqCAAAAGSMRBAAAyBitoQAAAAnYtElrKAAAACklEQQAAMgYraEAAAAJSNvU0LKyrd9TEQQAAMgYiSAAAEDGaA0FAABIQNqmhmoNBQAAoEgiCAAAkDFaQwEAABKQtqmh5fWU/SSCAOwy3norub3y+esT2yuXuyaxvfL5sYntBUB2aQ0FAADIGBVBAACABKRtamh9raEqggAAABkjEQQAAMgYraEAAAAJSNvU0Fxu6/dUBAEAADJGIggAAJAxWkMBAAASkLapoVpDAQAAKJIIAgAAZIzWUAAAgASkbWpoi3qyPRVBAACAjJEIAgAAZIzWUAAAgASkbWpofbGoCAIAAGSMRBAAACBjtIYCAAAkIG1TQ/P5rd9TEQQAAMgYFUEAdhmdO5c6gi3L58cmtlcuNzqxvfL5SYntBUDzIhEEAABIgKmhAAAApJZEEAAAIGO0hgIAACTA1FAAAABSSyIIAACQMVpDAQAAEmBqKAAAAKklEQQAAMgYraEAAAAJMDUUAACA1JIIAgAAZIzWUAAAgASYGgoAAEBqSQQBAAAyRmsoAABAAkwNBQAAILUkggAAABmjNRQAmpF8flJie+Vy32twTaFwXaPW5fPXJRESQLNmaigAAACpJREEAADIGK2hAAAACTA1FAAAgNSSCAIAAGSM1lAAAIAEmBoKAABAakkEAQAAMkZrKAAAQAJMDQUAACC1VAQBAAASYFgMAAAAqSURBAAAyBitoQAAAAkwLAYAAIDUkggCAABkjNZQAACABJgaCgAAQGqpCAJARuXz1yW2Lpcbt6PhfOx5Vye2FwARS5cujfwnJsdIBAEAABKQ1qmhlZWVsWTJklr3JIIAAAC7sFmzZqkIAgAAZEmXLl3qXGt0Ijhv3ryYOnVqvPTSS1FeXh59+vSJSy65JPr27Vtcc/rpp8df//rXOt87cODAmDx58naGDQAAkH7NaWpooxLB559/Pr761a/G5z73uRg9enRs2rQp7r///jjnnHPi/vvvj4MOOigKhUIsXLgw+vfvHwMGDKj1/XvvvfcO/QAAAAAkp1GJ4PXXXx9dunSJhx56KFq3bh0REUOGDImTTjopJk2aFDNmzIjFixfH2rVr47jjjovBgwc3adAAAABsvwYTwZUrV8arr74aI0eOLCaBERF77rlnHHroofHUU09FRMRrr70WERHdu3dvolABAADSK61TQ7ekwUSwbdu28Ytf/KJWErjZihUrIpfLRUTEggULIuKjRHDt2rXRpk2b7YkXAACAJlTe0IJcLhf77bdfdOrUqdb1V199Nf70pz9FRUVFRHyYCO6xxx4xfvz4qKioiIqKiujfv3/MnTu3aSIHAABgu2zXx0dUV1fH5ZdfHhERX/va1yLiw9bQ6urqWL16dUyYMCFWrVoVM2fOjEsvvTQ2btwYQ4YM2aZnlDeYojZuDU3D2ZeOsy8t5186zr50GnP2hcLVTR9IBnndl46zZ3vsclNDP+6DDz6Ir3/96/Hqq6/GhRdeGP369YuIiKFDh0ZNTU1UVlYW1w4aNChOPvnkuOmmm+KUU04ptpE2Rk1N/ffLyxteQ9Nw9qXj7EvL+ZeOsy+dxp59LjcusWfm85LKCK/7UnL2TUNynS7b9MexatWqGDVqVDz33HNx2mmnxejRo4v3zjrrrFpJYEREq1atYvDgwbFs2bLiMBkAAABKq9EVwffeey/OP//8eOWVV+LMM8+MsWPHRllZWYPf16FDh4j4cHgMAADArqo5TQ1tVEVwzZo1xSRwxIgRMW7cuFpJ4Ntvvx2DBg2KKVOm1PneN954IyIiunbtuo1hAwAA0BQalQiOGzcuXnnllRg+fHhceeWVde536tQpVq9eHVVVVbFmzZri9aVLl8bs2bPjsMMOi44dOyYXNQAAANutwdbQhQsXxpw5c6Jdu3bx+c9/PubMmVNnzeDBg+Pqq6+Oiy66KIYNGxZnnHFGVFdXx6xZs6JFixZxzTXXNEnwAAAAabFLTQ19/vnnIyJi9erVW6wGRnyYCPbv3z9uu+22+PGPfxwTJ06MVq1aRb9+/eLSSy8tfsg8AAAApVdWKBQKpQ5iS3x8RHo5+9Jx9qXl/EvH2ZeOj48oHa/70nH2TSMLHx8xZkzE8uWljuIjHTpE/Md/bPnedn2gPADQ/DWmfally8atSzJ5y+WSe0tJPj82sb0AGrLLTQ0FAABg1yERBAAAyBitoQAAAAloTlNDVQQBAAAyRiIIAACQMVpDAQAAEmBqKAAAAKklEQQAAMgYraEAAAAJMDUUAACA1JIIAgAAZIzWUAAAgASYGgoAAEBqSQQBAAAyRmsoAABAAkwNBQAAILUkggAAABmjNRQAACABzWlqqEQQADKqRSN/C2jMuiR/8cnnxya2Vy53c2J75fPfTmwvgFLTGgoAAJAxKoIAAAAJMDUUAACA1JIIAgAAZIzWUAAAgAQ0p6mhKoIAAAAZIxEEAADIGK2hAAAACTA1FAAAgNSSCAIAAGSM1lAAAIAEmBoKAABAakkEAQAAMkZrKAAAQAJMDQUAACC1JIIAAAAZozUUAAAgAaaGAgAAkFoqggDADmuR4G8USf5tej7/7cT2yuW+l9he+fx1ie0FsD0kggAAAAkwNRQAAIDUkggCAABkjNZQAACABJgaCgAAQGpJBAEAADJGaygAAEACTA0FAAAgtSSCAAAAGaM1FAAAIAGmhgIAAJBaEkEAAICM0RoKAACQAFNDAQAASC2JIAAAQMZoDQUAAEiAqaEAAACklkQQAAAgY7SGAgCp0iKlv53k89cltlcud0ODawqFKxq1Lp+/IomQgASYGgoAAEBqSQQBAAAyJqXNFwAAAM2LqaEAAACklkQQAAAgY7SGAgAAJMDUUAAAAFJLIggAAJAxWkMBAAASYGooAAAAqSURBAAAyBitoQAAAAkwNRQAAIDUkggCAABkjNZQAACABJgaCgAAQGpJBAEAADJGaygAAEACmtPUUIkgAEAjJPnLXT5/RWLrcrkhOxrOJ575SKL7AaW3dOnSyH/iDYMSQQAAgF1YZWVlLFmypNY1iSAAAEACCoWaKBRKHcVHPoylPGbNmqUiCAAAkCVdunSpc63RU0OfeeaZOOuss6KioiKOPPLI+P73vx/V1dW11ixatCi++c1vRr9+/aJfv35x2WWXxfLly3c8cgAAABLTqIrgs88+G6NGjYpevXrFd77znVi6dGnMnDkzXnzxxZg1a1aUl5fHihUr4rzzzosNGzbEBRdcEPl8PqZPnx7z58+PqqqqaNmyZVP/LAAAACVUzye4l8yWa3+NSgQnTJgQXbp0ifvuuy9atWoVER+WF8eNGxfz5s2LL3/5/7d3bzFalWf/gH/D+DHDRo1+RSMQkRinaTBVDhiNB5VSBIJUMFVao7VKd2k8EWLoJnQTvxjU/oMJmrR+gbSBDtKQkpoG0xAPTI2ixtoDN4AyIrVk6qYgDAMOOPP+D9BRPhhmkPXO+zLrupI5WWvNmoeb+yHc89zv81yb3//+9/n3v/+dv/zlL7n00kuTJFdccUXuvPPO/PnPf87ChQsL+oMAAABwOgZsDe3u7s55552XhQsX9hWBSdLa2pok2b59e5Jk06ZNaW1t7SsCk+Saa67J5MmTs2nTpqLHDQAAUGd6c3RVsF6+evsd6YArgk1NTVm9evVx17du3ZokGT9+fPbt25e33347s2fPPu65KVOm5KmnnhroxwAAADBETnnX0N27d+f555/PAw88kJaWllx33XXZtWtXkuTCCy887vlx48blwIED6ezszNlnn336IwYAAOC0nFIh+MEHH2TGjBlJklGjRmXZsmVpamrq2z101KhRx31PU1NTkuTgwYMKQQAAYBjrSVJHBwmmod87p1QINjQ05KGHHsrhw4ezdu3a3HnnnVmxYkXGjRs34PeOGDHokyo+fr6YZ6gOsa8dsa8t8a8dsa8dsT+qFhugDyb2lcqfqz+QEpL3DHenVAiee+65mTt3bpJkzpw5mTdvXu6///789re/TXJ0Y5n/65NrY8aMOaWB9fb/ucYkRyfnQM9QHWJfO2JfW+JfO2JfO2L/qY8+Ku5dZw3if2CDjX1j44LTH9Bn9PQoLOV9dSiu68vn/utobm7O9OnT09HRkQsuuCBJ8t577x333Lvvvptzzjkno0eP/vyjBAAAqHu9dfh1YgMWgu3t7ZkxY0ba2tqOu9fV1ZWGhoaMHDkyEydOzKuvvnrcM6+99louv/zygX4MAAAAQ2TAQnDSpEnp7OzM+vXrc/jw4b7ru3fvzubNmzNt2rSMHTs2s2bNypYtW9Le3t73zLPPPpudO3f2tZMCAABQew2VSmXAbW0ef/zxLF26NFdeeWVuuOGG7N27N21tbTly5EjWrVuXlpaW7NmzJ/PmzUtjY2MWLVqU7u7urFq1KhdffHHWr1+fkaf4CWufEaxfYl87Yl9b4l87Yl87Yv8pnxEsD3lfHWX4jOAll+zPrl31kzyTJo3IW2+dc8J7gyoEk+SJJ57IqlWr8vrrr2f06NG5+uqrs3jx4kyePLnvmTfffDPLly/Piy++mObm5lx77bVZunRpzj///FMetEKwfol97Yh9bYl/7Yh97Yj9pxSC5SHvq0MhOPQKKQSHmkKwfol97Yh9bYl/7Yh97Yj9pxSC5SHvq0MhOPROVgie0vERAAAA9KcnJ9upc+j1v+anEAQAGITBrOLVQtEreI2NPyrsXT09vynsXUCxSrBACwAAwGfV6e+2AAAAzjRnTmuoFUEAAICSUQgCAACUjNZQAACAQvTmaHto/bMiCAAAUDIKQQAAgJLRGgoAAFCI3tTXrqEN/d6xIggAAFAyCkEAAICS0RoKAABQiJ7YNRQAAIC6pBAEAAAoGa2hAAAAhai3A+XtGgoAAMDHFIIAAAAlozUUAACgEPW2a6jWUAAAAD5mRRAAgD49Pb8p7F2NjXcW9q6ent8V9i5AIQgAAFAQraEAAADUKYUgAABAyWgNBQAAKEQlRw+VrxeVfu9YEQQAACgZhSAAAEDJaA0FAAAoRL3tGtr/up8VQQAAgJJRCAIAAJSM1lAAAIBCaA0FAACgTikEAQAASkZrKAAAQCF6U1+toY393rEiCAAAUDIKQQAAgJLRGgoAAFCIets1tP+xWBEEAAAoGYUgAABAyWgNBQCgKnp6flfYuxobf1DYu3p6/rewd8Gxej/+qhf9j8WKIAAAQMkoBAEAAEpGaygAAEAh6u1Aea2hAAAAfEwhCAAAUDJaQwEAAArhQHkAAADqlEIQAACgZLSGAgAAFMKuoQAAANQphSAAAEDJaA0FAAAohF1DAQAAqFMKQQAAgJLRGgoAAFCI3pxsp86hZ9dQAAAAPqYQBAAAKBmtoQAAAIU4cw6UVwgCAFD3enr+t7B3NTb++KT3K5UHBnzmEz09DxQxJBhyWkMBAABKxoogAABAIRwoDwAAQJ1SCAIAAJSM1lAAAIBCaA0FAACgTikEAQAASkZrKAAAQCEqOdkh7kOv0u8dK4IAAAAloxAEAAAoGa2hAAAAhbBrKAAAAHVKIQgAAFAyWkMBAAAKoTUUAACAOqUQBAAAKBmtoQAAAIXoTX21hvZ/uL1CEAAAYBjr6OhIT8+xBapCEACAUunpeaCQZ5KksfHnpzucz/zM/ynsXfBZt956a3bv3n3MNYUgAABAIepz19C2tjYrggAAAGVy0UUXHXfNrqEAAAAlM+gVwS1btmTlypXZtm1bxo4dmzlz5uTuu+/OmDFj+p656aab8vLLLx/3vbNnz87KlSuLGTEAAEBd6s3Jduoceqe5a+hzzz2XRYsWZcqUKbnnnnvS0dGRNWvW5JVXXklbW1tGjBiRSqWS9vb2zJw5M7NmzTrm+ydMmHB64wcAAKAwgyoEH3zwwVx00UX5wx/+kObm5iRH+0zvvffePP3007n22mvzr3/9KwcPHszXvva1zJ8/v6qDBgAA4PMb8DOC3d3dOe+887Jw4cK+IjBJWltbkyTbt29PkuzYsSNJcumll1ZjnAAAAHXukwPl6+XrNFpDm5qasnr16uOub926NUkyfvz4JMkbb7yR5NNC8ODBgxk9evRArwcAAGCInfKuobt3787GjRtz3333paWlJdddd12So4XgmDFjsnz58kydOjVTp07NzJkzs2nTpsIHDQAAwOd3SucIfvDBB5kxY0aSZNSoUVm2bFmampqSHG0N7erqSmdnZx588MHs378/a9asyZIlS3LkyJEsWLDglAY2YhAl6mCeoTrEvnbEvrbEv3bEvnbEvnbEvnYGG/tK5X+qOxDOMPV5oPyJNFQqlcpgX7Nv374888wzOXz4cNauXZutW7dmxYoVmTNnTh577LH09vbm1ltv7Xv+ww8/zLx583Lo0KH87W9/S2Nj46CH3DvArqsjRgz8DNUh9rUj9rUl/rUj9rUj9rUj9rVzKrFvbPx5YT+3p2d4F5Vl+MXGJZesz65dB2o9jD6TJo3NW29964T3Tumv49xzz83csXp64gAADPJJREFUuXOzYMGCtLW1Zfz48bn//vuTJLfccssxRWCSNDc3Z/78+Xn//ff7NpMBAACgtj53Xd7c3Jzp06eno6Mje/bs6fe5888/P8nRzWMAAACGr1rvEnqirxMbsBBsb2/PjBkz0tbWdty9rq6uNDQ05NChQ7n++uvzyCOPHPfMzp07kyQTJ04c6EcBAAAwBAYsBCdNmpTOzs6sX78+hw8f7ru+e/fubN68OdOmTcuECRPS2dmZDRs25MCBT3tiOzo6snHjxlx11VUZN25cdf4EAAAAnJIBdw0966yzsmzZsixdujTf/va3c8MNN2Tv3r1pa2tLQ0NDfv7zox+Q/cUvfpG77ror3/rWt3LzzTenq6srbW1tOeuss/LLX/6y6n8QAACA2vrkQPl60f+uR4PeNfSJJ57IqlWr8vrrr2f06NG5+uqrs3jx4kyePLnvmSeffDKPPvpotm3blubm5rS2tmbJkiV9h8yf0pDtGlq3xL52xL62xL92xL52xL52xL527BpaHeXYNXRtdu3qrPUw+kyadHbeeuvbJ7x3SsdHDCWFYP0S+9oR+9oS/9oR+9oR+9oR+9pRCFaHQnDonawQPKUD5QEAgE8VWbw1Nv64sHf19DxQ2Ls4Fb05WTvm0Ot/LCWoywEAAPgsK4IAAACFOPnZfUPvNM4RBAAAYHhRCAIAAJSM1lAAAIBCnDnnCFoRBAAAKBmFIAAAQMloDQUAACiEXUMBAACoUwpBAACAktEaCgAAUAi7hgIAAFCnFIIAAAAlozUUAACgEHYNBQAAoE4pBAEAAEpGaygAAEAhenOynTqHnl1DAQAA+JgVQQAAqAM9PQ8U9q7GxsWFvaun56HC3kX9UAgCAAAUwoHyAAAA1CmFIAAAQMloDQUAACiEA+UBAACoUwpBAACAktEaCgAAUAitoQAAANQphSAAAEDJaA0FAAAoRCUnO8R96FX6vWNFEAAAoGQUggAAACWjNRQAAKAQdg0FAACgTikEAQAASkZrKAAAQCG0hgIAAFCnFIIAAAAlozUUAACGmZ6ehwp7V2Pjnaf9jkmT/jtvvfX/ChhNvetNfbWG9n+4vRVBAACAklEIAgAAlIzWUAAAgELYNRQAAIA6pRAEAAAoGa2hAAAAhejNyXbqHHp2DQUAAOBjCkEAAICS0RoKAABQCAfKAwAAUKcUggAAACWjNRQAAKAQDpQHAACgTikEAQAASkZrKAAAQCG0hgIAAFCnFIIAAAAlozUUAACgEGfOgfJ1Wwhu354cOdL//S9/OXnllYHfc/nlxY0JAADKpqfnd7UeAlWgNRQAAKBk6nZFEAAA4Mxi11AAAADqlEIQAACgZLSGAgAAFKI3J9upc+j1PxYrggAAACWjEAQAACgZraEAAACFOHMOlLciCAAAUDIKQQAAgJLRGgoAAFAIB8oDAABQpxSCAAAAJaM1FAAAoBB2DQUAAKBOKQQBAABKRmsoAABAIXpzsnbModf/WOq2EPyv/yrmGQAAgKEwceJ/13oIx/hkPB0dHenpOfaziw2VSqVSi0EBAABQXR9++GG+8pWvZN++fcdcVwgCAAAMU/v378/+/fuPu64QBAAAKBm7hgIAAJSMQhAAAKBkFIIAAAAloxAEAAAoGYUgAABAySgEAQAASkYhCAAAUDIKQQAAgJI5q9YDOFVvv/12HnjggbzwwgtJkunTp+cnP/lJzj///BqPbPi76aab8vLLLx93ffbs2Vm5cmUNRjT8LVu2LLt27cratWuPuW4eDI3+4m8uFO/pp5/Ob37zm7z66qsZMWJErrjiitx999258sor+56R99UxmNjL+erZsmVLVq5cmW3btmXs2LGZM2dO7r777owZM6bvGblfHYOJvdxnODujCsG9e/fmO9/5Tg4fPpzvfe976enpyerVq7N9+/Zs2LAhI0eOrPUQh61KpZL29vbMnDkzs2bNOubehAkTajSq4W3Dhg3ZsGFDWltbj7luHgyN/uJvLhTvhRdeyPe///1cdtllWbx4cT766KOsW7cut912W9atW5cvf/nL8r5KBhN7OV89zz33XBYtWpQpU6bknnvuSUdHR9asWZNXXnklbW1tGTFihNyvksHEXu4z7FXOICtWrKh86UtfquzYsaPv2jPPPFNpaWmp/PGPf6zhyIa/f/7zn5WWlpbKn/70p1oPZdj76KOPKg8//HDli1/8YqWlpaVy2223HXPfPKiugeJvLhRv/vz5lenTp1cOHjzYd+29996rTJs2rXLHHXdUKhV5Xy2Dib2cr54bb7yx8tWvfrVy6NChvmt/+MMfKi0tLZWnnnqqUqnI/WoZTOzlPsPdGfUZwU2bNqW1tTWXXnpp37VrrrkmkydPzqZNm2o4suFvx44dSXJM7Cled3d3brzxxjz88MOZP39+LrzwwuOeMQ+qZzDxNxeKtW/fvmzbti1z5szJqFGj+q5/4QtfyLRp0/KPf/wjibyvhsHGXs5XR3d3d84777wsXLgwzc3Nfdc/6ULYvn17ErlfDYONvdxnuDtjWkP37duXt99+O7Nnzz7u3pQpU/LUU08N/aBK5I033kjy6T+GBw8ezOjRo2s5pGGpu7s7Bw4cyEMPPZS5c+dmxowZx9w3D6proPgn5kLRxo4dm7/+9a/HFCKf2Lt3bxobG+V9lQwm9omcr5ampqasXr36uOtbt25NkowfP17uV8lgYp/IfYa/M2ZF8J133kmSE/6Gfty4cTlw4EA6OzuHelil8cYbb2TMmDFZvnx5pk6dmqlTp2bmzJl+G1mwsWPHZvPmzZk7d+4J75sH1TVQ/BNzoWiNjY255JJLjsvpbdu25aWXXsrUqVPlfZUMJvaJnB8qu3fvzsaNG3PfffelpaUl1113ndwfIieKfSL3Gf7OmBXBrq6uJDnhby6bmpqSHP1Nzdlnnz2k4yqLHTt2pKurK52dnXnwwQezf//+rFmzJkuWLMmRI0eyYMGCWg9xWBgxYkRGjOj/9zPmQXUNFP/EXBgKXV1d+fGPf5wk+cEPfiDvh9D/jX0i54fCBx980NeBMGrUqCxbtixNTU1yfwj0F/tE7jP8nTGFYG9v74DPDPQfOD6/hQsXpre3N7feemvfteuvvz7z5s3Lr3/963z961/vayOiesyD2jMXquvQoUP50Y9+lG3btuWHP/xhWltb8/e//33A75P3p+9EsU/k/FBoaGjIQw89lMOHD2ft2rW58847s2LFiowbN27A75X7p6e/2M+ZM0fuM+ydMf96fHKmS3d393H3Prn22XNfKNYtt9xyzD+ESdLc3Jz58+fn/fff7/tANdVlHtSeuVA9+/fvz6JFi/L888/nG9/4RhYvXpxE3g+F/mKfyPmhcO6552bu3LlZsGBB2traMn78+Nx///1yfwj0F/tE7jP8nTGF4Ccf3H3vvfeOu/fuu+/mnHPO8QHeGvjkMNuDBw/WeCTlYB7UL3Ph9PznP//J7bffnpdeeinf/OY3c99996WhoSGJvK+2k8X+ZOR8dTQ3N2f69Onp6OjIBRdckETuD5XPxn7Pnj39Pif3GS7OmELwnHPOycSJE/Pqq68ed++1117L5ZdfXoNRlcM777yT66+/Po888shx93bu3JkkmThx4lAPq5TMg9oyF6rjwIED+e53v5utW7fmjjvuyL333ntMISLvq2eg2Mv56mlvb8+MGTPS1tZ23L2urq40NDRk5MiRcr8KBhP7Q4cOyX2GvTOmEEySWbNmZcuWLWlvb++79uyzz2bnzp0n3eWP03PhhRems7MzGzZsyIEDB/qud3R0ZOPGjbnqqqsG9TkGimEe1I65UB333ntvtm7dmttvvz0//elPT/iMvK+OgWIv56tn0qRJ6ezszPr163P48OG+67t3787mzZszbdq0jB07Vu5XwWBiP2HCBLnPsNdQqVQqtR7EYO3Zsyfz5s1LY2NjFi1alO7u7qxatSoXX3xx1q9fn5EjR9Z6iMPWk08+mbvuuiuXXXZZbr755nR1daWtrS1HjhzJY4895rDVKpkxY0YmTJiQtWvX9l0zD4bOieJvLhSrvb09c+fOzdlnn52f/exnJ9x4Yf78+fK+CgYbezlfPY8//niWLl2aK6+8MjfccEP27t3bF9t169alpaVF7lfJYGIv9xnuzqhCMEnefPPNLF++PC+++GKam5tz7bXXZunSpX392lTPk08+mUcffTTbtm1Lc3NzWltbs2TJEv8QVtGJCpHEPBgq/cXfXCjOY489ll/96lcnfWb79u1J5H3RTiX2cr56nnjiiaxatSqvv/56Ro8enauvvjqLFy/O5MmT+56R+9UxmNjLfYazM64QBAAA4PScUZ8RBAAA4PQpBAEAAEpGIQgAAFAyCkEAAICSUQgCAACUjEIQAACgZBSCAAAAJaMQBAAAKBmFIAAAQMn8f3lMq88XsMgkAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "clf_lasso = skl.Lasso(alpha=_lambda).fit(X_train, y_train)\n", "J_lasso_sk = clf_lasso.coef_.reshape(L, L)\n", @@ -6262,9 +6320,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/10 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "lambdas = np.logspace(-4, 5, 10)\n", "\n", @@ -6325,9 +6403,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure(figsize=(20, 14))\n", "\n",