From 87a9b8b3238c5dc8c4e83eb1f6540e7c742b6ba0 Mon Sep 17 00:00:00 2001 From: Alyssa Travitz Date: Tue, 8 Oct 2024 14:15:20 -0700 Subject: [PATCH] clearing execution output for cleaner git diffs --- showcase/openfe_showcase.ipynb | 562 ++++----------------------------- 1 file changed, 53 insertions(+), 509 deletions(-) diff --git a/showcase/openfe_showcase.ipynb b/showcase/openfe_showcase.ipynb index 0c6ea99..8829dcd 100644 --- a/showcase/openfe_showcase.ipynb +++ b/showcase/openfe_showcase.ipynb @@ -69,7 +69,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "-jX9udRGehD3", "metadata": { "colab": { @@ -93,7 +93,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "dlCARZ2_fAI4", "metadata": { "colab": { @@ -164,22 +164,10 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from rdkit import Chem\n", "from rdkit.Chem import AllChem\n", @@ -272,7 +260,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "4096ce97", "metadata": { "id": "4096ce97" @@ -300,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "b5e5b538-4847-42f5-b29e-6e1f25bbbeed", "metadata": {}, "outputs": [], @@ -329,7 +317,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "faacbebb", "metadata": { "colab": { @@ -338,15 +326,7 @@ "id": "faacbebb", "outputId": "bc0ad1d9-72ad-49d0-e322-61b2a87d5301" }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "name: lig_ejm_31\n" - ] - } - ], + "outputs": [], "source": [ "print(\"name: \", ligand_mols[0].name)" ] @@ -363,7 +343,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "29b7c68a", "metadata": { "colab": { @@ -372,18 +352,7 @@ "id": "29b7c68a", "outputId": "39e7a77a-d2b8-49d2-8f70-fd8118845a99" }, - "outputs": [ - { - "data": { - "text/plain": [ - "openff.toolkit.topology.molecule.Molecule" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "type(ligand_mols[0].to_openff())" ] @@ -422,7 +391,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "01384f2a-99ce-400d-a988-82fd393c4ee5", "metadata": {}, "outputs": [], @@ -444,21 +413,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "00fb84d6-9fa7-4114-96e5-c656ad6f3a3f", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# We can display the atom mapping in 2D by calling it\n", "lomap_mapping" @@ -478,135 +436,10 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "bbcfd2e2-a50e-4398-85d1-f80b01597720", "metadata": {}, - "outputs": [ - { - "data": { - "application/3dmoljs_load.v0": "
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3Dmol.js failed to load for some reason. Please check your browser console for error messages.

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3Dmol.js failed to load for some reason. Please check your browser console for error messages.

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\n", - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Visualize the mapping in 3D\n", "from openfe.utils import visualization_3D\n", @@ -626,31 +459,10 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "c710a20e-2098-461f-8fa6-5e44b19ad6aa", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "INFO:\t#################################\n", - "INFO:\tMap Heavy Atoms \n", - "INFO:\t#################################\n", - "INFO:\tMasking Atoms\n", - "INFO:\tBuild Distance Matrix\n", - "INFO:\tCalculate Mapping\n", - "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n", - "INFO:\t#################################\n", - "INFO:\tMap Hydrogen Atoms: \n", - "INFO:\t#################################\n", - "INFO:\tMasking Atoms\n", - "INFO:\tBuild Distance Matrix\n", - "INFO:\tCalculate Mapping\n", - "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n" - ] - } - ], + "outputs": [], "source": [ "from kartograf import KartografAtomMapper\n", "# Build Kartograf Atom Mapper\n", @@ -662,21 +474,10 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "56117a03-6503-4317-9364-27e343a4911e", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# We can display the atom mapping in 2D by calling it\n", "kartograf_mapping" @@ -707,48 +508,13 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "5b89da93", "metadata": { "id": "5b89da93", "scrolled": true }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "INFO:\tTrying to remove edge 0-2 with similarity 0.818731\n", - "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", - "INFO:\tRemoved edge 0-2\n", - "INFO:\tTrying to remove edge 2-6 with similarity 0.860708\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 0-1 with similarity 0.904837\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 0-6 with similarity 0.904837\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 1-2 with similarity 0.904837\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 1-6 with similarity 0.951229\n", - "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", - "INFO:\tRemoved edge 1-6\n", - "INFO:\tTrying to remove edge 8-3 with similarity 0.904837\n", - "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", - "INFO:\tRemoved edge 8-3\n", - "INFO:\tTrying to remove edge 9-3 with similarity 0.904837\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 3-7 with similarity 0.904837\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 8-7 with similarity 0.951229\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 8-9 with similarity 0.951229\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 9-7 with similarity 0.951229\n", - "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", - "INFO:\tRemoved edge 9-7\n" - ] - } - ], + "outputs": [], "source": [ "# Create network from the two molecules\n", "import openfe\n", @@ -786,34 +552,12 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "f4e3ac10-236b-4ff4-a69e-600706288164", "metadata": { "scrolled": true }, - "outputs": [ - { - "data": { - "image/png": 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ur+s7cODA2+sli4h7UAAUEbdTr149AgICOHHiBGFhYVaXk+qOHDlC8+bNuXnzJi1btuTDDz+0uiQRSWUKgCLidvz8/GjSpAngft3Aly5dolGjRly4cIGKFSsyceJEbDab1WWJSCpTABQRtxTXDTxz5kxiY2MtriZ13Lx5kxYtWhAeHk7evHmZN28efn5+VpclIhZQABQRt/T8888TGBjIyZMn2bJli9XlpIoePXqwYsUK0qdPz8KFC8mVK5fVJYmIRRQARcQt+fr63u4GdodJob/++mu+/vprbDYbU6ZM4amnnrK6JBGxkAKgiLituJGvM2fO5NatWxZXk3KWL19O9+7dAfj0009p2rSptQWJiOUUAEXEbdWpU4eMGTNy+vRpNm3aZHU5KeLAgQP85z//4datW7Rt25bevXtbXZKIpAEKgCLitnx8fGjWrBngmt3A58+fp2HDhkRGRlKtWjXGjBmjEb8iAigAioibi+sGnjVrlkt1A8fExPDiiy9y9OhRHn/8cebMmUO6dOmsLktE0ggFQBFxa7Vq1SJz5sycPXuW9evXW11OsrDb7fzf//0f69evJzAwkEWLFpE1a1aryxKRNEQBUETcmre3N82bNwdcpxt4+PDhTJgwAQ8PD6ZPn06JEiWsLklE0hgFQBFxe3GTQs+ePZubN29aXE3SLFiw4PZAjy+//JJ69epZXJGIpEUKgCLi9mrWrEmWLFn4+++/Wbt2rdXlJNqePXto1aoVdrudLl260K1bN6tLEpE0SgFQRNyel5cXL774IuC83cBnzpyhUaNGXLlyhVq1ajFq1CiN+BWRB1IAFBEhvht4zpw53Lhxw+JqEubatWs0a9aMEydOUKRIEWbOnIm3t7fVZYlIGqYAKCICPPfcc2TPnp1//vmH1atXW12Ow+x2O+3bt2fr1q1kzpyZRYsWkTlzZqvLEpE0TgFQRATn7Qb+5JNPmDp1Kl5eXsyePZvChQtbXZKIOAEFQBGR/4nrBp47dy4xMTEWV/NoM2bM4MMPPwTgm2++oUaNGhZXJCLOQgFQROR/qlWrRs6cObl48SIrV660upyH2r59O23btgXg7bffplOnThZXJCLORAFQROR/PD09CQkJAdJ2N/Bff/1FkyZNuHbtGi+88AL//e9/rS5JRJyMAqCIyB3iuoHnzZvH9evXLa7m365cuULjxo05ffo0pUqVYurUqXh6elpdlog4GQVAEZE7VKlShVy5chEREcGKFSusLucusbGxtGnThl9++YVs2bKxcOFCAgMDrS5LRJyQAqCIyB08PDz4z3/+A8D06dMtruZu/fv3Z86cOfj4+DB37lwKFChgdUki4qQUAEVE7tGyZUsA5s+fz7Vr1yyuxpg8eTKffvopAOPGjaNKlSoWVyQizkwBUETkHk8//TR58+YlKiqKn3/+2epy2LRpEx07dgSgT58+vPrqqxZXJCLOTgFQROQeaakb+NixYzRr1oyYmBiaN2/OJ598Ymk9IuIaFABFRO4jrht4wYIFXL161ZIaIiMjadiwIX///TfBwcGEhobi4aEf2yKSdPpJIiJyHxUrViR//vxcuXKFpUuXpvr9b926xcsvv8z+/fvJlSsXCxYsIH369Kleh4i4JgVAEZH7sNlst+cEtKIbuGfPnixZsgRfX18WLFhAnjx5Ur0GEXFdCoAiIg8QFwAXLVrElStXUu2+Y8eOZcSIEQCEhoZSvnz5VLu3iLgHBUARkQcoX748jz/+ONHR0SxZsiRV7rlmzRreeOMNAD766KPbg1FERJKTAqCIyAPc2Q2cGmsDHzp0iBdffJGbN2/SqlUr+vfvn+L3FBH3pAAoIvIQcQFw8eLFXL58OcXuc/HiRRo1asTFixepVKkS48ePx2azpdj9RMS9KQCKiDxE2bJlKVSoEFevXmXRokUpco8bN24QEhLCoUOHyJcvH/PmzcPX1zdF7iUiAgqAIiIPldLdwHa7nW7durF69WrSp0/PokWLyJkzZ7LfR0TkTgqAIiKPEBcAlyxZQmRkZLJe+6uvvmLMmDHYbDamTp1K6dKlk/X6IiL3owAoIvIIpUuXpkiRIly/fp2FCxcm23WXLl3K22+/DcDnn39Oo0aNku3aIiIPowAoIvIINpvt9tJwydUNvH//flq2bElsbCzt27fn3XffTZbriog4QgFQRMQBcd3A+/fvJyoqKknXunjxIu+//z6FChWiQ4cOfPfddxrxKyKpyma32+2POigyMpKMGTMSERFBYGBgatQlIpKm2O12ateuzaJFi/Dz87O6HBGRf0lIXlMLoIiIA+JGAyv8iYgrUAAUEXFQnTp1rC5BRCRZKACKiDjoiSeesLoEEZFkoQAoIiIi4mYUAEVERETcjAKgiEgyqV4devQwrwsUgBEjUu/eAwfCU0+l3v1ExLkpAIqIpIDt26Fz59S7X8+esGpVyt6jcWPInx98fSFXLnj1VTh16u5juneHcuUgXToFUpG0TAFQRCQFZMsG/v6pd7+AAMiSJWXvUaMGzJgBBw/C7Nnw++8QEnL3MXY7tG8P/1s4RUTSKAVAEZEUcG8XcHg4VK1qWs9KlICVK8Fmg3nzHLveyZMmVGXObIJekyZw7Fj8+/d2AbdrB02bwpAhkCMHZMoEgwbBzZvQqxcEBUHevDBhguOf6e234emn4bHH4Jln4P33YetWuHEj/phRo+CNN0ADpkXSNgVAEZEUFhtrwpi/P4SFwdix0K+f4+dHR5vWt4AAWL8eNm40r+vVg5iYB5+3erXpol2/Hr74woTEhg1NiAwLgy5dzHbiRMI/04UL8OOPJgh6eyf8fBGxlgKgiEgKW77cdJeGhkKZMqYlcPBgx8+fNg08PGDcOHjySSheHCZOhD//hLVrH3xeUJBpkSta1HTLFi1qwmTfvlC4MPTpAz4+sGmT47W89x6kT29aIf/8E+bPd/xcEUk7FABFRFLYwYOQLx/kzBm/r2JFx8/fuROOHIEMGUzLX0CACXfXrplg+SAlS5rgGCdHDhMg43h6miB37pzjtfTqBb/8YkKtpye0aWOe+xMR5+JldQEiIq7ObjfP+yVWbKwZWfvjj/9+L1u2B593b9eszXb/fbGxjteSNavZihQxLZH58pnnACtXdvwaImI9BUARkRRWrJjpLj171rTCgZkmxlHBwTB9OmTPDoGBKVNjYsS1/F2/bm0dIpJw6gIWEUlhdepAwYLQti3s3WueuYsbBOJIy2Dr1qbVrUkT2LAB/vgD1q0zc+799VfK1h5n2zYYPRp274bjx2HNGmjVynyuO1v/jhwxx5w5A1evmte7dz98sIqIpD4FQBGRFObpaaZ7uXwZKlSAjh2hf3/znq/vo8/39zcjefPnh+bNTddr+/YmYKVWi6CfH8yZA7VqxQ8qKVXKBNF06eKP69gRypaFMWPg0CHzumzZf08YLSLWstntj358NzIykowZMxIREUFgWup/EBFJRb/99hslSpRIlmtt2mRGAx85YlrRkqpPH9M6uHFj0q8lIs4pIXlNzwCKiDzChg0bGDx4MOfOnWPXrl2JusbcuWb0buHCJvR17w5VqiQ9/NntcPSoWQaubNmkXUtE3Ie6gEVE7sNut7Ns2TKqVavGs88+y88//4ynp2eirxcVBV27mgEh7dqZruC4OfSGDImf3uXerX79h183IsKsLOLjY+b3S6yk1CAizkddwCIid4iNjWXevHkMGTKEnTt3AuDj40P79u3p378/efLkSfZ7Xrhgtvvx84MUuGWarEFEkkZdwCIiCXTz5k2mTZvGp59+ym+//QaAv78/Xbp04d133yV37twpdu+gILNZKS3UICKpRwFQRNza9evXmTRpEp999hlHjx4FIGPGjLz55pv06NGDrFmzWlyhiEjyUwAUEbd05coVvv/+e4YNG8bJkycByJo1K++88w5du3YlY8aMFlcoIpJyFABFxK1ERETw9ddf8+WXX3L+/HkA8uTJQ69evejUqRP+/v4WVygikvIUAEXELZw/f54RI0YwevRoIiIiAHjiiSd4//33adOmDenunM1YRMTFKQCKiEs7deoUw4YNY8yYMURHRwNQokQJ+vbtS8uWLfHySr0fg1FRUbz//vts2bIFm83GW2+9RZs2bbA5sh6ciEgy0jyAIuKS/vjjD7p06cLjjz/Ol19+SXR0NOXKlWPOnDn8+uuvtG7dOlXDH0CGDBkYOXIklStXZteuXbRr146OHTsSo4VyRSSVKQCKiEs5cOAAbdq0oXDhwowZM4aYmBiqVavGsmXL2L59O82aNcPDw7offV5eXowePZpRo0bh4eHBhAkTqFevHhceNAmfiEgKUAAUEZfwyy+/EBISQsmSJZk8eTK3bt2ibt26rF+/nvXr11O3bt0009Vqs9no1q0bCxcuJCAggDVr1lC5cmUOHz5sdWki4iYUAEXEqW3atIkXXniB4OBgZs+ejd1up1mzZmzfvv32Um5p1QsvvMDmzZvJnz8/hw4dolKlSqxdu9bqskTEDSgAiojTsdvtrFixgurVq1O1alWWLl2Kh4cHrVu3Zt++fcyZM4fy5ctbXaZDnnzyScLCwqhUqRIXL17k+eefZ+LEiVaXJSIuTgFQRJxGbGws8+fPp1KlSjz//POsW7cOb29vOnXqxKFDh5gyZQolS5a0uswEy5kzJ2vWrKFFixbcuHGD9u3b8/777xMbG2t1aSLiohQARSTNu3XrFlOnTqVMmTI0bdqU7du34+fnR/fu3Tl69Chjx46lYMGCVpeZJH5+fkydOpX+/fsD8NlnnxESEsKVK1csrkxEXJHNbrfbH3VQZGQkGTNmJCIigsDAwNSoS0SEmJgYJk+ezNChQzly5AgAgYGBvPHGG/To0YPs2bNbXGHKmDJlCh06dCAmJoZy5cqxYMECcufObXVZIpLGJSSvKQCKSJoTHR3NuHHj+O9//8tff/0FQJYsWXj77bd54403yJQpk7UFpoKNGzfSrFkzzp8/T548eVi4cCFly5a1uiwRScMSktfUBSwiaUZkZCRDhw7l8ccfp3v37vz111/kypWLL774guPHj9OvXz+3CH8AVatWJSwsjOLFi3Py5EmqVq3KggULrC5LRFyEAqCIWO6ff/7hww8/5LHHHqNPnz6cO3eOAgUK8O2333L06FHefvtt0qdPb3WZqe6JJ55g8+bN1KlTh+joaJo2bcqwYcNwoONGROShFABFxDKnT5+mZ8+ePPbYY3z88cdcunSJYsWKMWnSJA4dOkSXLl3w9fW1ukxLZcqUicWLF9OlSxfsdju9evWic+fO3Lhxw+rSRMSJKQCKSKo7duwYXbt25fHHH2f48OFcuXKFsmXLMnPmTPbv30+bNm3w9va2usw0w9vbm2+++YYRI0bg4eHBuHHjqFevHhcvXrS6NBFxUmk6AFavDj16mNcFCsCIEcl3bZsN5s1LvuuJyKMdPHiQdu3aUbhwYb799luuX79OlSpVWLJkCTt37iQkJMTSdXrTMpvNRvfu3VmwYAEBAQGsXr2ap59++vboaBGRhHCan7Tbt0Pnzsl3vdOnoX795LteQly4AN26QdGi4O8P+fPDW29BRET8MWvXmpB6v237dmvqFkms3bt306JFC4oXL86kSZO4efMmderUYe3atWzYsIH69eunmXV607oGDRqwadMm8uXLd3v5uPXr11tdlog4GacJgNmymbCUXHLmhHTpku96CXHqlNmGDYNff4UffoBly6BDh/hjnnnGhNQ7t44dTUuok6xwJcKWLVto2LDh7e5du91OkyZNCAsLY/ny5Tz33HMKfolQunRpwsLCqFChAhcuXKB27dr88MMPVpclIk7EaQLgvV3A4eFQtSr4+kKJErByZcK6de889tgx8/2MGVCtGvj5QYUKcOiQaW0rXx4CAqBePfj777uvM2EClCxpwmSuXPDmm4++d6lSMHs2NGoEBQtCzZoweDAsXAg3b5pjfHxMSI3bsmSBBQugfXtTq0haZbfbWbVqFTVr1uSZZ55h8eLFeHh48PLLL7N3717mzZtHxYoVrS7T6eXKlYt169bxn//8hxs3bvDaa6/Rp08fLR8nIg5xmgB4p9hYaNrUtAiGhcHYsdCvX9KvO2AA9O8Pu3aBlxe8/DL07g0jR8KGDfD77/Dhh/HHf/stvPGG6Zr+9VcT0AoVSty9IyIgMNDc934WLIDz56Fdu8RdXySl2e12Fi5cSOXKlalduzZr1qzB29ubDh06EB4ezk8//cSTTz5pdZkuxc/Pj2nTpt1ePm7o0KG0aNGC6OhoiysTkbTuAXEjbVu+3ISxtWtN6xiYFrQ6dZJ23Z49oW5d87p7dxMAV62CKlXMvg4dTHdtnE8+gXffNcfGqVAh4ff95x/4+GN4/fUHHzN+vKktX76EX18kJd26dYtZs2YxZMgQ9u7dC4Cvry+dOnWiV69e5NM/2hTl4eHBxx9/TJEiRejYsSOzZ8/m+PHjLFiwgFy5clldnoikUU7ZAnjwoAlCceEPIDl6lEqXjn+dI4f5emeDRY4ccO6ceX3unHmOr1atpN0zMhIaNDDd2AMG3P+Yv/6Cn3+++xlBEavduHGDiRMnUqJECV566SX27t1LhgwZeO+99zh27BijRo1S+EtFr776KitXriRLlizs2LGDihUrsnv3bqvLEpE0yilbAO32lHkO7s5px+Kuf+++uMdr/PySfr+oKPNcYUAAzJ17973uNHGieQawceOk31Mkqa5du8b8+fMJDQ3l9OnTpE+fnurVq/Pyyy/z0ksvab1wC1WrVo2wsDAaNmxIeHg4VatWZerUqTRq1Mjq0kQkjXHKAFisGPz5J5w9G99Sl9pTo2TIYAamrFoFNWok/PzISNOlmy6deb7vQYsd2O0mALZp8+CAKJKafH19admyJS1btrS6FLmPggULsmXLFkJCQli1ahVNmjRh2LBhvP322xpxLSK3OWUXcJ06ZvRs27awdy9s2hQ/CCQ1f74NHAjDh8OoUXD4sBk88tVXjz4vKgqefx6uXDHP9kVGwpkzZrt16+5jV6+GP/5Q96+IOC5TpkwsXbqUzp07Y7fbeffdd+nSpYuWjxOR25wyAHp6milcLl82gy46djSjd+HBLWkpoW1bMzXNN9+YqWAaNjRB8FF27jSjl3/91YwazpUrfjtx4u5jx483cwIWL54iH0FEXJS3tzffffcdX3zxBTabjbFjx1K/fn0tHyciANjsdrv9UQdFRkaSMWNGIiIi0uzzPZs2mXkBjxwxrYMPc/26CYorVkDt2qlTn4iIVRYuXMjLL7/MlStXKFq0KIsXL6bgo35QiojTSUhec8oWQDCDJlasMJM4r1xp5uKrUuXR4S8yEqZOBQ8P8yyhiIira9SoEZs2bSJv3rwcPHiQSpUqsWHDBqvLEhELOW0AjIqCrl1NiGvXznQFz59v3hsyxIysvd/WpAm89x589hnkzZsytf3444PvX7JkytxTRORhypQpw7Zt2yhfvjz//PMPtWrVIjQ01OqyRMQiLtMFfKcLF8x2P35+kCdPyt4/KsqMUL4fb2947LGUvb+IyINER0fTpk0bZs+eDUDfvn35+OOP8fBw2vYAEfmfhOQ1lwyAIq6uenV46ikzCKlAAejRw2ypYeBAMwhLcww7r9jYWD744AOGDBkCQEhICJMmTcLf39/iykQkKdziGUARMbZvN8/AppaePc38l6nh+nUTdG22+wfOH34wK/j4+pqVgd58M3XqcnYeHh4MHjyYH374AW9vb2bNmkX16tU5ffq01aWJSCpRABRxctmyQWo23AQEmJVpUkPv3pA79/3f++ILM//n++/D/v0mlMat5S2Oadu2LStXriQoKIjt27dTqVIl9uzZY3VZIpIKFABFnFyBAqYrOE54uJkSydfXrDG9cqVpQZs3z7HrnTwJLVtC5swm6DVpYkbbxxk40LTKxWnXDpo2NYOvcuSATJlg0CC4eRN69YKgIDPgasKEhH2upUth+XIYNuzf7128aOb+DA2FVq3M6P+SJUErniXcs88+S1hYGEWLFuXEiRNUrVqVRYsWWV2WiKQwBUARFxIba8KYv7+ZbHzs2PhVchwRHW2WNgwIgPXrYeNG87pePYiJefB5q1fDqVPmnC++MCGxYUMTIsPCoEsXs9070fmDnD0LnTrB5Mn3b91cscJ81pMnzSTpefNCixaOX1/uVqhQIbZs2ULNmjW5fPkyjRs35ssvv8SBR8RFxEm5bAA8ffo0/fv3Jzg4mODgYJ5++mlGjhxJVFSU1aWJpJjly+H3303LWJkypiVw8GDHz582zcyROW4cPPmkCVcTJ5q1t9euffB5QUFmScSiRaF9e/M1Ohr69oXChaFPH/DxMRO2P4rdbloVu3SB8uXvf8zRoyYADhliWj9nzTIj/+vUeXhQlQfLnDkzy5Yto1OnTtjtdt555x3+7//+T8vHibgolw2AuXLl4pNPPuH7778nU6ZMhIWF0aNHDwoUKMDIkSOJ0W8JcUEHD0K+fGZARJyKFR0/f+dOs5pOhgzxc1cGBcG1ayZYPkjJkiY4xsmRwwTIOJ6epjv53LlH1/DVV2bC9j59HnxMbCzcuGFCZ9268PTTZoL3w4dhzZpH30Puz9vbmzFjxjB8+HBsNhtjxoyhQYMGXLp0yerSRCSZuWwAjFOuXDlWrVrFokWLKFGiBBcuXKBHjx6UKFGCmTNnqotDXIrdbp73S6zYWChXzoy4vXM7dMg8a/cg3t53f2+z3X9fbOyja1i9GrZuhXTpwMvLrJcNpjWwbVvzOlcu87VEifjzsmWDrFlNa6Ukns1m45133mHevHmkT5+eFStWULlyZX5/2F8AIuJ0XD4AgvmB1qBBA/bs2cPYsWPJkSMHv//+Oy1atKBKlSps3rzZ6hJFkkWxYiYA3TkR+fbtjp8fHGxa0bJnN8Hrzi1jxuSv935GjYI9e+LD55IlZv/06fHd2VWqmK8HD8afd+ECnD+vidaTS+PGjdmwYQN58uQhPDycSpUqsXHjRqvLEpFk4hYBMI6XlxedOnXiyJEjDBgwAH9/f7Zs2UKVKlV48cUXOXz4sNUliiRJnTpmRGzbtrB3r3nmLm4QiCMtg61bm1a0Jk1gwwb44w9Ytw66d4e//krZ2uPkzw+lSsVvRYqY/QULxi/fWKSIqbF7d9i8GfbtM5+5WDEziEWSR9myZdm2bRvlypW7vXzc5MmTrS5LRJKBWwXAOAEBAQwcOJAjR47QqVMnPDw8mDNnDiVKlKBbt278/fffVpcobi6xjyZ4eprpXi5fNutjd+xopksBMy3Mo/j7m5G8+fND8+ZmEEj79nD1KqS1RYBCQ6FSJWjQAJ57znQ5L1v2765nSZrcuXOzfv16mjdvTkxMDG3atKF///7EOtKfLyJplpaCA/bv30/v3r1Z8r++psDAQPr06UP37t3x8/OzuDpxJ8ePH2fy5Mns2LGDeY5O3PcImzaZ0cBHjphWtKTq08e0Dqo30L3ExsbSr18/hg4dCkCLFi344Ycf9DNSJA3RUnAJVLJkSRYvXsyqVasoW7YskZGR9OnTh6JFixIaGqq/dCVFRUZGMnHiRGrUqEGBAgX44IMP+DMJIxnmzjXz5B07ZiaB7tzZPDOX1PBnt5uRwKtWmVG/4l48PDz49NNPmTBhAt7e3syYMYPq1atz5swZq0sTkURQALxDzZo12bFjB6GhoeTLl48TJ07Qtm1bypcvz6rUWvxU3MKtW7dYvnw5rVu3JmfOnLRv3561a9dis9moWbMmgwYNSvS1o6Kga1fzPFy7dqYreP58896QIfHTu9y71a//8OtGRJhRtz4+Zn6/xEpKDWK91157jRUrVhAUFMS2bduoVKkSe/futbosEUkgdQE/wNWrVxk1ahRDhgwhMjISgPr16/P5559TqlQpi6sTZ7Vv3z5CQ0OZMmUKp0+fvr2/aNGitGnThldeeYX8+fOn2P0vXDDb/fj5QZ48KXbrNFWDJN3hw4dp2LAhhw4dIiAggGnTptGgQQOryxJxawnJawqAj3D+/Hk++ugjvv32W27evImHhwevvfYaH330EbkftEq9yB3OnTvH1KlTCQ0NZdeuXbf3BwUF8fLLL9OmTRsqVKiALSkT+IlY4MKFC4SEhLBmzRo8PDz44osveOutt/RvWcQiCoAp4PDhw/Tp04fZs2cD4O/vT8+ePenVqxcBAQEWVydpzbVr11i4cCGhoaEsXbqUW7duAWalhQYNGtCmTRsaNGiAj4+PxZWKJE1MTAxdu3Zl/PjxAPzf//0fI0eOxFvDsUVSnQJgCtq8eTM9e/Zky5YtAOTIkYNBgwbRoUMHvLy8LK5OrGS329myZQuhoaFMnz79ruWzKlSoQNu2bWnZsiVZs2a1rkiRFGC32xk+fDi9e/fGbrdTp04dZsyYQaZMmawuTcStKACmMLvdzuzZs3n//fdvL49UvHhxPv/8cxo0aKDuDzfzxx9/MHnyZEJDQ+9aLitv3ry8+uqrvPrqqxQvXtzCCkVSx7x582jdujXR0dEUL16cRYsW8cQTT1hdlojbUABMJTExMXz33Xd89NFH/PPPPwBUr16dYcOGUa5cOYurk5QUERHBrFmzCA0NZf369bf3p0+fnhdffJE2bdpQvXp1PD09LaxSJPX98ssvNGrUiJMnT5I1a1bmzZtHlbi1+0QkRSkAprJLly7x6aefMnLkSK5fvw5Aq1atGDx4MAUKFLC2OEk2N2/eZOXKlYSGhjJ37lyuXbsGmLWma9WqRZs2bWjWrJmeCRW3d/LkSRo3bsyuXbvw8fFhwoQJtG7d2uqyRFyeAqBFjh8/Tv/+/ZkyZQoA6dKl46233qJv3756FsaJ7d27l9DQUH788ce7Jr0tVqwYbdu25ZVXXiFv3CK1IgLAlStXePXVV5k7dy4AH3zwAYMGDdIjMiIpSAHQYjt37qRXr16sWbMGMNN9fPDBB3Tt2lWjPp3E2bNn+emnn5g0aRJ79uy5vT9Lliy0atWKNm3aUK5cOf0yE3mI2NhY+vbty2effQZAy5YtmThxopaPE0khCoBpgN1uZ8mSJfTu3ZvffvsNgCeeeIKhQ4cSEhKi4JAGXb16lQULFhAaGsrPP/9819QtjRo1ok2bNtSvX18hXiSBJkyYwOuvv87NmzepVKkS8+fPJ0eOHFaXJeJytBZwGmCz2WjQoAF79uxh7Nix5MiRg6NHj9KiRQueeeYZNm3aZHWJggnqGzdupHPnzuTKlYuXXnqJJUuWcOvWLSpVqsQ333zD6dOnmT17Nk2aNFH4E0mE9u3bs2LFCjJnzkxYWBgVK1bk119/dfj86tWhRw/zukABGDEiBYp8gIED4amnUu9+IqlFATCFeXl50alTJ44cOcKAAQPw9/dn69atVK1alebNm3Po0CGrS3RLR48eZeDAgRQqVIhq1arx/fffExERQf78+enXrx/h4eFs3bqV//u//yNLlixWlyvi9KpXr87WrVspXLgwf/75J8888wxLlixJ8HW2b4fOnVOgwAfo2RNSein4AgXAZrt7e//9u4/5809o1AjSp4esWeGttyAmJmXrEtemLuBUdvr0aQYMGMD48eOJjY3Fy8uLLl268OGHH5ItWzary3Nply5dYubMmYSGhrJx48bb+wMCAggJCaFt27Y8++yzeHjo7yKRlHLhwgVefPFF1q5di4eHByNGjKBbt24PPad6ddMKl5otf6mpQAHo0AE6dYrfFxBgNoBbt8znz5YNhg+Hf/6Btm2heXP46isrKpa0KkF5ze6AiIgIO2CPiIhw5HBxwL59++wvvPCCHbAD9sDAQPuQIUPs0dHRVpfmUm7cuGFfvHixvUWLFvZ06dLd/u9ts9nszz//vH3KlCn2y5cvW12miFu5fv26vX379rf/f/z0008fevxzz9nt3bub1489Zrd/+WX8ewcO2O1Vqtjt6dLZ7cWL2+0rVtjtYLfPnetYLX/9Zbe3aGG3Z8pktwcF2e2NG9vtf/wR//6AAXZ7mTLx37dta7c3aWK3Dx5st2fPbrdnzGi3Dxxot9+4Ybf37Gm3Z85st+fJY7ePH+/Y/e/3me61ZInd7uFht588Gb9v6lTzmfVrWe6UkLympg6LlCxZksWLF7Nq1SrKli1LZGQkffv2pWjRooSGhhIbG2t1iU5t9+7dvPPOO+TNm5cGDRowY8YMrl+/TokSJfjss884ceIEP//8M61btyZ9+vRWlyviVnx8fBg3bhyfffYZNpuNGTNmJOo6sbHQtCn4+0NYGIwdC/36OX5+dDTUqGFa2tavh40bzet69R7evbp6NZw6Zc754gvznGDDhpA5s6mjSxeznTjheC2ffQZZspiWvsGD777/li1QqhTkzh2/r25duH4ddu50/B4id1IAtFjNmjXZsWMHkydPJn/+/Jw4cYK2bdtSrlw5Vq5caXV5TuX06dMMHz6cMmXKULZsWb788kvOnj1LtmzZ6N69Ozt37mTfvn307t2bPHnyWF2uiFuz2Wz07t2b2bNnJ3pamOXL4fffITQUypSBqlVNeHLUtGng4QHjxsGTT0Lx4jBxonnebu3aB58XFASjRkHRotC+vfkaHQ19+0LhwtCnD/j4gKNj/bp3N7WsWQNvvmm6urt2jX//zBm4d9B05szmHndMTSqSIF5WFyDg4eHBK6+8wosvvsioUaMYMmQIu3fvpk6dOtSvX5/PP/+cUqVKWV1mmnTt2jXWrl3LokWL2Lp1K7GxsXh6elKxYkWee+45GjZsSOXKlfH29ra6VBG5j2bNmlGsWLFEnXvwIOTLBzlzxu+rWNHx83fuhCNHIEOGu/dfu2aC5YOULGmCY5wcOUwLXRxPT9Oad+6cY3W8/Xb869KlTbgLCYlvFQQzMORedvv994s4QgEwDfHz8+O9996jQ4cOfPzxx3zzzTcsXbqUn3/+mddee42PPvqI3Hf2AQi+vr7Uq1ePevXqWV2KiCRS8eLFE3VeUgNQbCyUKwc//vjv9x42Ju/evydttvvvS+yTPE8/bb4eOWICYM6cpmv5Thcvwo0b/24ZFHGUuoDToKxZszJy5EgOHDhASEgIsbGxjB8/nsKFCzNgwAAuX75sdYkiIpYrVsx01549G79v+3bHzw8OhsOHIXt2KFTo7i1jxuSv11G//GK+5splvlauDPv2wenT8ccsXw7p0pkAK5IYCoBpWKFChZg5cyabNm2icuXKREdH89FHH1GoUCHGjBnDzZs3rS5RRMQydepAwYJmSpS9e80zd3GDQBxpGWzd2syp16QJbNgAf/wB69aZZ/L++itla4+zZQt8+SXs3m3uP2MGvP46NG4M+fObY55/HkqUgFdfNeFw1SozP2GnTqCZ2SSxFACdQNzKIbNmzaJQoUKcPXuWLl26ULp0aRYtWoT90VM5ioi4HE9PmDcPLl+GChWgY0fo39+85+v76PP9/c1I3vz5zZx6xYubQR1Xr6ZesEqXDqZPN3MdligBH35ogt3UqfHHeHrC4sXmM1WpAi1amNHPw4alTo3imjQRtJOJiYnhu+++46OPPuKff/4BzAz7w4YNo5z6AkTEzW3aZEYDHzliWgeTqk8f0zp4x9zxImmW1gJ2YT4+Prz11lscOXKE9957j3Tp0rF27VrKly9P69atOXbsmNUlioikmrlzYcUKOHYMVq40y8RVqZL08Ge3m5HAq1aZUb8irkYB0EllypSJoUOHcvDgQV555RUAfvrpJ4oVK0bv3r25dOlSku+Rkguw22ym60ZEJCmiosycecWKQbt2pit4/nzz3pAh8Uuq3bvVr//w60ZEmC5ZHx8zv19iJaUGkZSkLmAXsWvXLnr16sXq1asBCAoK4oMPPqBr1674+Pgk6pp3rr/5999mEXJ//+Sp98wZM9dVunTJc72EuHABBgwwo+hOnDAPgTdtCh9/fPfIv8aNzYPZ586ZWmvXNvNyaSYeEedw4YLZ7sfPD1JjPvi0UIO4j4TkNQVAF2K321m6dCm9evXit99+A+CJJ55g6NChhISEYEvghFmuugD7vn0mALZrZ/7CP37cLNtUujTMmhV/3JdfmukXcuWCkyfNqDuAzZstKVtEROSh9Aygm7LZbLzwwgvs2bOHsWPHkjNnTo4ePUqLFi1ujyROrHu7gMPDzYPWvr4mRK1cmbBu3TuPPXbMfD9jBlSrZv4qrlABDh0yc3qVLx+/Pufff999nQkTzPM56dKZoPbmm4++d6lSMHs2NGpknhOqWdMsH7VwIdw5s87bb5sJWR97DJ55Bt5/H7ZuNZOvioiIODMFQBfk5eVFp06dOHz4MAMHDsTf35+tW7dStWpVmjdvzqFDh5J0/aQuwP4gAwaYKRx27QIvL3j5ZejdG0aONKPwfv/dTJEQ59tv4Y03zEPfv/4KCxaYCVwTIyLCTPvg9YC1cS5cMKsFPPPMv2f8FxERcTYKgC4sICCAAQMGcOTIETp16oSHhwdz586lZMmSvPnmm1y8eDFR103qAuwP0rMn1K1r5uLq3t0EwQ8+MCP6ypaFDh3MYulxPvkE3n3XHFukiGk1jBu0khD//GOe/3v99X+/99575tnHLFnMigNxD5eLiIg4MwVAN5ArVy7Gjh3L3r17adCgATdv3uTrr7+mcePGibpeUhdgf5DSpeNfx61v+eSTd++LW1z93Dk4dQpq1UraPSMjoUED0409YMC/3+/Vy8y8v3y5mYy1TRszPYSIiIgzUwB0IyVLlmTRokWsWrWKsmXLcuXKlURdJ6kLsD/InV2rcde/d1/c4up+fkm/X1SUea4wIMDMJXa/rt2sWU3rYp06MG0aLFlingMUkbRt/fr1NGzYkODgYIKDg+nRowcnT560uiyRNEMB0A3VrFmTHTt28MknnyTq/KQuwJ4cMmQwA1NWrUrc+ZGRZn1NHx/z7KAjy0bFtfxdv564e4pI6nn22WeZMWMG9evXZ9++fYwcOZLChQszZMgQYmJirC5PxHIKgG7Kw8ODF154IVHnJnUB9uQycCAMHw6jRsHhw+aZwa++evR5UVEm/F25AuPHmzB45ozZbt0yx2zbBqNHm3kAjx83zx62amU+d+XKKfmpRCS5+Pv7M3jwYPbs2UONGjW4evUq/fr1o0yZMrfnTBVxVwqAkmBJXYA9ubRta6am+eYbMxVMw4YmCD7Kzp1m9PKvv5pRw7lyxW8nTphj/PxgzhzzjGHRomaB+FKlYN06ayavFpHEK168OKtWrWLKlClkz56d8PBwatWqxSuvvMKZM2esLk/EEpoIWpJFQhZgv37dBMUVK8zqGiIiqeXSpUv079+fb775BrvdTsaMGRk8eDBdunTB09PT6vJEkkQTQUuKS+wC7JGRMHUqeHiYZwlFRFJTpkyZGD16NNu2baNcuXJERETw5ptvUqlSJban9sPMIhZSAJRESewC7E2amLn1PvsM8uZNmdp+/PHB9y9ZMmXuKSLOpXz58oSFhfH111+TMWNGdu7cSaVKlejatSuXLl2yujyRFKcuYEl2Vi9+HhV19wjlO3l7m6XdRETinD17lp49ezJlyhQAsmfPzvDhw2ndunWC11AXsVJC8poCoIiICLBmzRq6du1KeHg4ANWrV+ebb76hePHiFlcm4hg9AygiIpJANWrUYM+ePQwZMgQ/Pz/Wrl1LmTJl6NOnD9HR0VaXJ5KsFABFRET+x8fHhz59+vDbb7/RqFEjbty4wdChQylRogQLFy60ujyRZKMAKCIico8CBQqwYMEC5s2bR/78+Tl+/DiNGzemSZMmHD9+3OryRJJMAVBEROQBmjRpwm+//cZ7772Hl5cXCxYsoHjx4gwdOlRLyolTUwB0c9evX6dWrVoEBwezfv16q8sREUlz0qdPz9ChQ9mzZw/PPfccV69epU+fPpQtW5Z169ZZXZ5IoigAurn58+ezevVqzp49yzPPPGN1OSIiaVaJEiVYs2YNkyZNIlu2bPz2229Ur16dNm3acPZBc0+JpFEKgG7u+++/B6B9+/Z4eXlZXI2ISNpms9lo06YNBw8epEuXLthsNiZPnkyxYsX49ttvuXXrltUlijhEAdCNHT16lJUrV2Kz2ejQoYPV5YiIOI3MmTPz7bffsnXrVoKDg7l06RJdu3alcuXK7Ny50+ryRB5JAdCNjR8/HoA6depQoEABa4sREXFCFStWZNu2bXz11VcEBgayfft2KlasSLdu3YiIiLC6PJEHUgB0Uzdu3GDChAkAdOrUyeJqREScl6enJ2+++Sbh4eG8/PLLxMbGMnr0aIoWLcpPP/2EAwtuiaQ6BUA3tXjxYs6cOUO2bNlo3Lix1eWIiDi9XLly8dNPP7Fy5UqKFCnC2bNnad26NbVr1769vJxIWqEA6KbiBn+0a9cOHx8fi6sREXEdtWrVYu/evXz88cf4+vqyevVqSpcuTf/+/bWknKQZNrsDbdMJWVxY0r4TJ05QoEABYmNjOXjwIEWKFLG6JBERl3T06FG6devGkiVLALPCyOjRo2nQoIHFlYkrSkheUwugG5owYQKxsbE899xzCn8iIinoiSeeYNGiRcyZM4e8efNy7NgxGjZsSPPmzfnzzz+tLk/cmAKgm7l169bt0b+dO3e2uBoREddns9lo1qwZBw4coFevXnh5eTF37lyKFy/Of//7X27cuGF1ieKGFADdzPLlyzlx4gRBQUE0b97c6nJERNxGQEAAn3/+Ob/88gtVq1YlOjqa3r17U7ZsWTZs2GB1eeJmFADdTNzgj1dffRVfX1+LqxERcT+lSpVi3bp1TJw4kaxZs7J//36effZZ2rVrx99//211eeImFADdyJkzZ1i4cCGguf9ERKzk4eFBu3btCA8Pv/04zqRJkyhatChjxowhNjbW4grF1SkAupEffviBmzdvUrlyZUqWLGl1OSIibi9LliyMGTOGLVu2UKZMGS5evEiXLl145pln+OWXX6wuT1yYAqCbiI2NZdy4cYBa/0RE0pqnn36aHTt2MGLECDJkyEBYWBjly5ene/fuREZGWl2euCAFQDexdu1afv/9dwIDA2nRooXV5YiIyD28vLzo3r074eHhtGzZktjYWEaNGkWxYsWYPn26lpSTZKUA6CbiBn+0atWK9OnTW1yNiIg8SO7cuZk2bRo///wzhQoV4vTp07z00ks8//zzHDp0yOryxEUoALqB8+fPM2fOHEDdvyIizuL555/n119/ZdCgQaRLl46VK1fy5JNP8uGHH3L16lWryxMnpwDoBiZPnkxMTAzBwcEEBwdbXY6IiDjI19eXDz/8kH379lG3bl1iYmL4+OOPKVWqFEuXLrW6PHFiCoAuzm633+7+VeufiIhzKlSoEEuXLmXmzJnkyZOHo0eP8sILLxASEsJff/1ldXnihBQAXdzmzZs5cOAA/v7+tGrVyupyREQkkWw2GyEhIRw4cIB33nkHT09PZs+eTbFixRg+fHiSlpSrXh169DCvCxSAESOSoWAHDRwITz2VevcTQwHQxcW1/rVs2ZLAwECLqxERkaTKkCEDw4cPZ9euXVSuXJkrV67Qs2dPypUrx6ZNm5J8/e3bITWXiu/ZE1atSp17Xb9uwqbNBrt3x+/fswdefhny5QM/PyheHEaOTJ2arKIA6MIuXbrEjBkzAHX/ioi4mtKlS7Nx40bGjRtHUFAQv/76K1WrVqVDhw6cP38+0dfNlg38/ZOx0EcICIAsWVLnXr17Q+7c/96/c6f53FOmwP790K8f9OkDo0enTl1WUAB0YT/++CNXr16lZMmSPP3001aXIyIiyczDw4MOHTpw8OBBOnToAMCECRMoWrQo48aNS9SScvd2AYeHQ9Wq4OsLJUrAypWmBW3ePMeud/IktGwJmTOboNekCRw7Fv/+vV3A7dpB06YwZAjkyAGZMsGgQXDzJvTqBUFBkDcvTJiQsM+1dCksXw7Dhv37vfbtYdQoeO45eOIJeOUVeO01+N8EGi5JAdBF3Tv4w2azWVyRiIiklKxZszJu3Dg2btzIk08+yYULF+jUqRNVq1Zlz549ib5ubKwJY/7+EBYGY8ea1jFHRUdDjRqmlW/9eti40byuVw9iYh583urVcOqUOeeLL0xIbNjQhMiwMOjSxWwnTjhWx9mz0KkTTJ7seOtmRIQJm65KAdBF7dixgz179pAuXTpeffVVq8sREZFUUKVKFXbt2sXw4cMJCAhgy5YtlCtXjuHDhyfqesuXw++/Q2golCljWgIHD3b8/GnTwMMDxo2DJ580z9ZNnAh//glr1z74vKAg0yJXtKhpnSta1ITJvn2hcGHTPevjA4488mi3m1bFLl2gfHnH6t6yBWbMgNdfd+x4Z6QA6KLiWv9CQkIIcuU/YURE5C5eXl688847HDhwgJCQEG7dusWPP/6YqGsdPGgGRuTMGb+vYkXHz9+5E44cgQwZTMtfQIAJd9eumWD5ICVLmuAYJ0cOEyDjeHqa7uRz5x5dw1dfQWSkCY2O2L/fdFN/+CHUqePYOc7Iy+oCJPldvnyZqVOnAhr8ISLirvLmzcvMmTNZtmwZ33zzTaKuYbeb5/0SKzYWypWD++XPbNkefJ63993f22z33+fII46rV8PWrZAu3d37y5eH1q1h0qT4fb/9BjVrmu7i/v0ffW1npgDogqZNm8bly5cpUqQIzz77rNXliIiIherVq0f16tUTdW6xYqa79uxZ0woHZpoYRwUHw/TpkD07WDUT2ahR8Mkn8d+fOgV165q6KlWK379/vwl/bdsmrJvbWakL2AXFdf927NhRgz9ERARfX99EnVenDhQsaELR3r3mmbu4QSCO/Hpp3RqyZjVdqhs2wB9/wLp10L07pNYCJvnzQ6lS8VuRImZ/wYJmNDGY8Fejhvm877wDZ86Y7e+/U6dGKygAupi9e/eybds2vL29adu2rdXliIiIE/P0NNO9XL4MFSpAx47xXaOOZEp/fzOSN39+aN7cDAJp3x6uXrWuRfB+Zs40Ye/HHyFXrvitQgWrK0s5Nrvdbn/UQZGRkWTMmJGIiAitJpHGdevWjdGjRxMSEsLMmTOtLkdERFzMpk1mNPCRI6YVLan69DGtgxs3Jv1a7i4heU3PALqQq1evMmXKFECDP0REJHnMnWtG7xYubEJf9+5QpUrSw5/dDkePmmXgypZNnlrFceoCdiGzZs3i0qVLFChQgNq1a1tdjoiIuICoKOja1QwIadfOdIvOn2/eGzIkfnqXe7f69R9+3YgIs7KIj4+Z3y+xklKDO1MXsAt59tln2bBhAx9//DH9XX38uoiIWO7CBbPdj58f5MnjHjWkFeoCdkPh4eFs2LABDw8PXnvtNavLERERNxAUZP1yaWmhBmekLmAXMW7cOAAaNGhAHnf6c0dEREQSTAHQBVy/fp1J/5vKXIM/RERE5FEUAF3A/PnzOX/+PLlz56a+nngVERGRR1AAdAFxK3+0b98eLy891ikiIiIPpwDo5I4ePcrKlSux2Wx06NDB6nJERMRNhIeH07FjR4KDgwkODqZ+/fosW7YMByYXkTRAAdDJxQ3+qFOnDgUKFLC2GBERcRvFihXj+++/p2/fvly4cIFly5ZRv359qlatyvbt260uTx5BAdCJ3bhxg4kTJwIa/CEiIqnPZrMREhLCgQMH+OSTT0ifPj2bN2+mYsWKtGvXjlOnTlldojyAAqATW7x4MWfOnCF79uw0btzY6nJERMRN+fn50a9fPw4dOkSbNm0AmDRpEkWKFGHIkCFcu3bN4grlXgqATixu8Ee7du3w8fGxuBoREXF3uXPnZtKkSYSFhfH0009z5coV+vXrR/HixZk9e7aeD0xDFACd1IkTJ1i2bBkAHTt2tLgaERGReBUrVmTz5s1MmTKFPHnycOzYMUJCQqhRowa7d++2ujxBAdBpTZgwgdjYWKpXr07hwoWtLkdEROQuNpuN1q1bc/DgQT788EN8fX1Zt24dwcHBdO7cmXPnzlldoltTAHRCt27dYvz48YAGf4iISNqWPn16Bg0aRHh4OC1btsRut/P9999TuHBhhg8fTkxMjNUluiUFQCe0fPlyTpw4QVBQEM2bN7e6HBERkUd67LHHmDZtGhs2bKBcuXJERkbSs2dPSpUqxcKFC/V8YCpTAHRCcYM/Xn31VXx9fS2uRkRExHFVq1Zl27ZtTJgwgRw5cnD48GEaN25M3bp12b9/v9XluQ0FQCdz5swZFi5cCKj7V0REnJOHhwevvfYahw4d4r333sPHx4cVK1ZQpkwZunXrxoULF6wu0eUpADqZH374gZs3b1K5cmVKlixpdTkiIiKJFhgYyNChQ/ntt99o1qwZt27dYvTo0RQqVIivvvqKGzduWF2iy1IAdCKxsbG3l35T65+IiLiKggULMmfOHFavXk3p0qW5ePEib731FmXKlOHnn3+2ujyXpADoRNauXcvvv/9OYGAgLVq0sLocERGRZFWjRg127drFd999R9asWTlw4AD16tWjUaNGHDp0yOryXIoCoBOJG/zRqlUr0qdPb3E1IiIiyc/T05PXX3+dw4cP8/bbb+Pl5cWiRYsoVaoU7777LpcuXbK6RJegAOgkzp8/z5w5cwB1/4qIiOvLlCkTX3zxBfv27aNBgwbcuHGDL774giJFijBmzBhu3bpldYlOTQHQSUyePJmYmBiCg4MJDg62uhwREZFUUbRoURYtWsSyZcsoXrw4f//9N126dKFcuXKsXbvW6vKclgKgE4ibNR3U+iciIu6pbt267Nmzh5EjR5IpUyb27NlDjRo1ePHFFzl69KjV5TkdBUAnsHnzZg4cOIC/vz+tWrWyuhwRERFLeHt789Zbb3HkyBHeeOMNPDw8mDNnDsWLF6dv375ERUVZXaLTUAB0AnGtfy1btiQwMNDiakRERKyVJUsWRo8ezZ49e6hduzYxMTF8+umnFClShB9++IHY2FirS0zzFADTuEuXLjFjxgxA3b8iIiJ3KlWqFMuXL2f+/PkUKlSIM2fO8Nprr1GpUiU2bdpkdXlpmgJgGvfjjz9y9epVSpUqxdNPP211OSIiImmKzWajcePG7Nu3j//+978EBgayY8cOqlatyssvv8yff/5pdYlpkgJgGnbv4A+bzWZxRSIiImlTunTp6NmzJ4cOHaJjx47YbDamTZtGsWLFGDhwINHR0VaXmKYoAKZhO3bsYM+ePaRLl45XXnnF6nJERETSvBw5cvD999+zc+dOnn32Wa5evcqgQYMoWrQoP/30E3a73eoS0wQFwDQsrvUvJCSEoKAgi6sRERFxHmXLlmXt2rXMnDmTAgUK8Ndff9G6dWuqVKnC9u3brS4vRXh4OB7rFADTqMuXLzN16lRAgz9EREQSw2azERISwoEDBxg8eDDp06dny5YtVKxYkXbt2nHq1CmrS0xWAQEBDh+rAJhGTZs2jcuXL1OkSBGeffZZq8sRERFxWr6+vvTt25dDhw7Rpk0bACZNmkSRIkUYMmQI165ds7jC1KcAmEbFdf/GPcgqIiIiSZM7d24mTZpEWFgYlStX5sqVK/Tr14/ixYsza9Yst3o+UAEwDdq7dy/btm3D29ubtm3bWl2OiIiIS6lYsSKbNm3ixx9/JG/evBw7doz//Oc/1KhRg927d1tdXqpQAEyD4lr/mjRpQvbs2S2uRkRExPXYbDZatWpFeHg4H374Ib6+vqxbt47g4GA6d+7MuXPnrC4xRSkApjFXr15lypQpgAZ/iIiIpLT06dMzaNAgDh48yEsvvXR7Dt7ChQszfPhwYmJirC4xRSgApjGzZs3i0qVLFChQgNq1a1tdjoiIiFvInz8/U6dOZePGjZQrV47IyEh69uxJqVKlWLhwYZKeD6xeHXr0MK8LFIARI5Kh4CRSAExj4rp/O3TokKD5fERERCTpqlSpwrZt25gwYQI5c+bk8OHDNG7cmLp167J///4kX3/7dujcORkKTSIljDQkPDycDRs24OHhwWuvvWZ1OSIiIm4p7vfwoUOHeP/99/Hx8WHFihWUKVOGN998k3/++SfR186WDfz9k7HYRFIATEOWLl1K2bJl6datG3ny5LG6HBEREbeWIUMGPv30Uw4cOEDz5s25desWX3/9NYULF+arr77ixo0bCb7mvV3A4eFQtSr4+kKJErByJdhsMG+eY9c7eRJatoTMmSFLFsfrUABMQ95++2127drFiLTwcICIiIgA8MQTTzB79mxWr15N6dKluXjxIm+99RZlypTh559/TvR1Y2OhaVPTIhgWBmPHQr9+jp8fHQ01akBAAKxfDxs3On6uAqCIiIiIA2rUqMGuXbv47rvvyJo1KwcOHKBevXr0iBvhkUDLl8Pvv0NoKJQpY1oCBw92/Pxp08DDA8aNgyefhOLFHT9XAVBERETEQZ6enrz++uscPnyYd955By8vL9avX5+oax08CPnyQc6c8fsqVnT8/J074cgRyJDBtAImYClgBUARERGRhMqUKRPDhw9n3759VKtWLVHXsNvN836JFRsL5crB7t3xm6MUAEVEREQSqWjRoowcOTJR5xYrBn/+CWfPxu/bvt3x84OD4fBhyJ4dChUym6MUAEVEREQsUKcOFCwIbdvC3r2waVP8IBBHWgZbt4asWaFJE9iwAf74w/F7KwBaKCVnBk/IEHIRERFJfZ6e5nf15ctQoQJ07Aj9+5v3fH0ffb6/vxn9mz8/NG+esEEgXomqWJLd9u2QPn3yXe/0aTMnkBUuXIABA8zophMnzF8nTZvCxx9Dxozxxx06BL16mb94YmLMCKZPPjFD2kVERFzF2rXxr48du/u9YsXunr5l0ybz1dHu3Jw5YdKk+O8dfaZQATCNyJYtea9354ii1HbqlNmGDTOTWh4/Dl26mH2zZsUf16ABFCkCq1eDn59pAW3Y0AyJt7J+ERGR1DJ3rhm9W7iwGdHbvTtUqWK6hlOSuoDTiOSeGfzOY48dM9/PmAHVqpmwVaGCaYHbvh3Klzf/+OrVg7//vvs6EyZAyZKQLh3kygVvvvnoe5cqBbNnQ6NG5h9wzZpmXqOFC+HmTXPM+fPmH/r770Pp0uYf/tChZlLLZFhqUURExClERUHXrqYlsF078/t5/nzz3pAh8dO73LvVr5+0+6oFMA2Kmxk8f34zM3hUFLz7btKvO2CACZn580P79vDyyxAYCCNHmucIWrSADz+Eb781x3/7Lbzzjglm9etDRER803RCRUSYe3n9719clizmWYXQUDOKKV06GDMGcuQwQ9pFRETcQZs2ZrufLl3M7+b78fNL2n0VANOguJnB166N7wodPNiMFkqKnj2hbl3zunt3EwBXrTJNzQAdOsAPP8Qf/8knJnh27x6/r0KFhN/3n3/M83+vvx6/z2aDFSvMyKUMGcxM5jlywLJlkClTwu8hIiLiaoKCzJYS1AWcBiV1ZvAHKV06/nWOHObrk0/eve/cOfP63DnzzF6tWkm7Z2SkedavRAnTAhnHbjdN3tmzm6Hr27aZMNiwoRnAIiIiIilHATANSurM4A/i7R3/Ou769+6LjTWvk9q0DKbrul4986zC3Ll332v1ali0yKxjWKWK6Qb+5htz3ztHM4mIiEjyUwBMg5I6M3hyyJDBDExZtSpx50dGwvPPg48PLFjw7/mMoqPNV497/gV6eMSHUBEREUkZegYwDbpzZvDPPzctaQmZGTy5DBxoHkDNnt0MAomKMoNAunV7+HlRUSb8RUfDlCkmDEZGmveyZTMTX1aubOYpbNvWDDzx84PvvzezmDdokOIfTURExK2pBTANSurM4MmlbVszavibb8xUMA0bmjUHH2XnTjN6+ddfzUSWuXLFbydOmGOyZjUDPi5fNtPElC9vJsKcPx/KlEnRjyUiIuKSLl++7PCxNrvdbn/UQZGRkWTMmJGIiAgCAwOTVJwkzqZNZl7AI0cePTnk9esmKK5YAbVrp059IiIiYq2E5DV1AadRiZ0ZPDIS5swxz9IVK5Y6tYqIiIhzUQBMo6KioHfv+LV0a9eG4cPNe0OGmO1+KlSA336Dzz6DvHlTprYff7x7Tr87PfaYVvIQERFJ69QF7IQuXDDb/fj5QZ48KXv/qKi7RyjfydvbhEARERFJXeoCdnEpOTO4IzJkMJuIiIg4J40CFhEREXEzCoAiIiIibkYBUERERMTNKACKiIiIuBkFQBERERE3owAoIiIi4mYUAEVERETcjAKgiIiIiJtxaCLouMVCIiMjU7QYEREREUmcuJzmwCJvjgXAqKgoAPLly5eEskREREQkpUVFRZExY8aHHuPQWsCxsbGcOnWKDBkyYLPZkq1AEREREUkedrudqKgocufOjYfHw5/ycygAioiIiIjr0CAQERERETejACgiIiLiZhQARURERNyMAqCIiIiIm1EAFBEREXEzCoAiIiIibkYBUERERMTN/D88i3F17xtS1gAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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ur+s7cODA2+sli4h7UAAUEbdTr149AgICOHHiBGFhYVaXk+qOHDlC8+bNuXnzJi1btuTDDz+0uiQRSWUKgCLidvz8/GjSpAngft3Aly5dolGjRly4cIGKFSsyceJEbDab1WWJSCpTABQRtxTXDTxz5kxiY2MtriZ13Lx5kxYtWhAeHk7evHmZN28efn5+VpclIhZQABQRt/T8888TGBjIyZMn2bJli9XlpIoePXqwYsUK0qdPz8KFC8mVK5fVJYmIRRQARcQt+fr63u4GdodJob/++mu+/vprbDYbU6ZM4amnnrK6JBGxkAKgiLituJGvM2fO5NatWxZXk3KWL19O9+7dAfj0009p2rSptQWJiOUUAEXEbdWpU4eMGTNy+vRpNm3aZHU5KeLAgQP85z//4datW7Rt25bevXtbXZKIpAEKgCLitnx8fGjWrBngmt3A58+fp2HDhkRGRlKtWjXGjBmjEb8iAigAioibi+sGnjVrlkt1A8fExPDiiy9y9OhRHn/8cebMmUO6dOmsLktE0ggFQBFxa7Vq1SJz5sycPXuW9evXW11OsrDb7fzf//0f69evJzAwkEWLFpE1a1aryxKRNEQBUETcmre3N82bNwdcpxt4+PDhTJgwAQ8PD6ZPn06JEiWsLklE0hgFQBFxe3GTQs+ePZubN29aXE3SLFiw4PZAjy+//JJ69epZXJGIpEUKgCLi9mrWrEmWLFn4+++/Wbt2rdXlJNqePXto1aoVdrudLl260K1bN6tLEpE0SgFQRNyel5cXL774IuC83cBnzpyhUaNGXLlyhVq1ajFq1CiN+BWRB1IAFBEhvht4zpw53Lhxw+JqEubatWs0a9aMEydOUKRIEWbOnIm3t7fVZYlIGqYAKCICPPfcc2TPnp1//vmH1atXW12Ow+x2O+3bt2fr1q1kzpyZRYsWkTlzZqvLEpE0TgFQRATn7Qb+5JNPmDp1Kl5eXsyePZvChQtbXZKIOAEFQBGR/4nrBp47dy4xMTEWV/NoM2bM4MMPPwTgm2++oUaNGhZXJCLOQgFQROR/qlWrRs6cObl48SIrV660upyH2r59O23btgXg7bffplOnThZXJCLORAFQROR/PD09CQkJAdJ2N/Bff/1FkyZNuHbtGi+88AL//e9/rS5JRJyMAqCIyB3iuoHnzZvH9evXLa7m365cuULjxo05ffo0pUqVYurUqXh6elpdlog4GQVAEZE7VKlShVy5chEREcGKFSusLucusbGxtGnThl9++YVs2bKxcOFCAgMDrS5LRJyQAqCIyB08PDz4z3/+A8D06dMtruZu/fv3Z86cOfj4+DB37lwKFChgdUki4qQUAEVE7tGyZUsA5s+fz7Vr1yyuxpg8eTKffvopAOPGjaNKlSoWVyQizkwBUETkHk8//TR58+YlKiqKn3/+2epy2LRpEx07dgSgT58+vPrqqxZXJCLOTgFQROQeaakb+NixYzRr1oyYmBiaN2/OJ598Ymk9IuIaFABFRO4jrht4wYIFXL161ZIaIiMjadiwIX///TfBwcGEhobi4aEf2yKSdPpJIiJyHxUrViR//vxcuXKFpUuXpvr9b926xcsvv8z+/fvJlSsXCxYsIH369Kleh4i4JgVAEZH7sNlst+cEtKIbuGfPnixZsgRfX18WLFhAnjx5Ur0GEXFdCoAiIg8QFwAXLVrElStXUu2+Y8eOZcSIEQCEhoZSvnz5VLu3iLgHBUARkQcoX748jz/+ONHR0SxZsiRV7rlmzRreeOMNAD766KPbg1FERJKTAqCIyAPc2Q2cGmsDHzp0iBdffJGbN2/SqlUr+vfvn+L3FBH3pAAoIvIQcQFw8eLFXL58OcXuc/HiRRo1asTFixepVKkS48ePx2azpdj9RMS9KQCKiDxE2bJlKVSoEFevXmXRokUpco8bN24QEhLCoUOHyJcvH/PmzcPX1zdF7iUiAgqAIiIPldLdwHa7nW7durF69WrSp0/PokWLyJkzZ7LfR0TkTgqAIiKPEBcAlyxZQmRkZLJe+6uvvmLMmDHYbDamTp1K6dKlk/X6IiL3owAoIvIIpUuXpkiRIly/fp2FCxcm23WXLl3K22+/DcDnn39Oo0aNku3aIiIPowAoIvIINpvt9tJwydUNvH//flq2bElsbCzt27fn3XffTZbriog4QgFQRMQBcd3A+/fvJyoqKknXunjxIu+//z6FChWiQ4cOfPfddxrxKyKpyma32+2POigyMpKMGTMSERFBYGBgatQlIpKm2O12ateuzaJFi/Dz87O6HBGRf0lIXlMLoIiIA+JGAyv8iYgrUAAUEXFQnTp1rC5BRCRZKACKiDjoiSeesLoEEZFkoQAoIiIi4mYUAEVERETcjAKgiEgyqV4devQwrwsUgBEjUu/eAwfCU0+l3v1ExLkpAIqIpIDt26Fz59S7X8+esGpVyt6jcWPInx98fSFXLnj1VTh16u5juneHcuUgXToFUpG0TAFQRCQFZMsG/v6pd7+AAMiSJWXvUaMGzJgBBw/C7Nnw++8QEnL3MXY7tG8P/1s4RUTSKAVAEZEUcG8XcHg4VK1qWs9KlICVK8Fmg3nzHLveyZMmVGXObIJekyZw7Fj8+/d2AbdrB02bwpAhkCMHZMoEgwbBzZvQqxcEBUHevDBhguOf6e234emn4bHH4Jln4P33YetWuHEj/phRo+CNN0ADpkXSNgVAEZEUFhtrwpi/P4SFwdix0K+f4+dHR5vWt4AAWL8eNm40r+vVg5iYB5+3erXpol2/Hr74woTEhg1NiAwLgy5dzHbiRMI/04UL8OOPJgh6eyf8fBGxlgKgiEgKW77cdJeGhkKZMqYlcPBgx8+fNg08PGDcOHjySSheHCZOhD//hLVrH3xeUJBpkSta1HTLFi1qwmTfvlC4MPTpAz4+sGmT47W89x6kT29aIf/8E+bPd/xcEUk7FABFRFLYwYOQLx/kzBm/r2JFx8/fuROOHIEMGUzLX0CACXfXrplg+SAlS5rgGCdHDhMg43h6miB37pzjtfTqBb/8YkKtpye0aWOe+xMR5+JldQEiIq7ObjfP+yVWbKwZWfvjj/9+L1u2B593b9eszXb/fbGxjteSNavZihQxLZH58pnnACtXdvwaImI9BUARkRRWrJjpLj171rTCgZkmxlHBwTB9OmTPDoGBKVNjYsS1/F2/bm0dIpJw6gIWEUlhdepAwYLQti3s3WueuYsbBOJIy2Dr1qbVrUkT2LAB/vgD1q0zc+799VfK1h5n2zYYPRp274bjx2HNGmjVynyuO1v/jhwxx5w5A1evmte7dz98sIqIpD4FQBGRFObpaaZ7uXwZKlSAjh2hf3/znq/vo8/39zcjefPnh+bNTddr+/YmYKVWi6CfH8yZA7VqxQ8qKVXKBNF06eKP69gRypaFMWPg0CHzumzZf08YLSLWstntj358NzIykowZMxIREUFgWup/EBFJRb/99hslSpRIlmtt2mRGAx85YlrRkqpPH9M6uHFj0q8lIs4pIXlNzwCKiDzChg0bGDx4MOfOnWPXrl2JusbcuWb0buHCJvR17w5VqiQ9/NntcPSoWQaubNmkXUtE3Ie6gEVE7sNut7Ns2TKqVavGs88+y88//4ynp2eirxcVBV27mgEh7dqZruC4OfSGDImf3uXerX79h183IsKsLOLjY+b3S6yk1CAizkddwCIid4iNjWXevHkMGTKEnTt3AuDj40P79u3p378/efLkSfZ7Xrhgtvvx84MUuGWarEFEkkZdwCIiCXTz5k2mTZvGp59+ym+//QaAv78/Xbp04d133yV37twpdu+gILNZKS3UICKpRwFQRNza9evXmTRpEp999hlHjx4FIGPGjLz55pv06NGDrFmzWlyhiEjyUwAUEbd05coVvv/+e4YNG8bJkycByJo1K++88w5du3YlY8aMFlcoIpJyFABFxK1ERETw9ddf8+WXX3L+/HkA8uTJQ69evejUqRP+/v4WVygikvIUAEXELZw/f54RI0YwevRoIiIiAHjiiSd4//33adOmDenunM1YRMTFKQCKiEs7deoUw4YNY8yYMURHRwNQokQJ+vbtS8uWLfHySr0fg1FRUbz//vts2bIFm83GW2+9RZs2bbA5sh6ciEgy0jyAIuKS/vjjD7p06cLjjz/Ol19+SXR0NOXKlWPOnDn8+uuvtG7dOlXDH0CGDBkYOXIklStXZteuXbRr146OHTsSo4VyRSSVKQCKiEs5cOAAbdq0oXDhwowZM4aYmBiqVavGsmXL2L59O82aNcPDw7offV5eXowePZpRo0bh4eHBhAkTqFevHhceNAmfiEgKUAAUEZfwyy+/EBISQsmSJZk8eTK3bt2ibt26rF+/nvXr11O3bt0009Vqs9no1q0bCxcuJCAggDVr1lC5cmUOHz5sdWki4iYUAEXEqW3atIkXXniB4OBgZs+ejd1up1mzZmzfvv32Um5p1QsvvMDmzZvJnz8/hw4dolKlSqxdu9bqskTEDSgAiojTsdvtrFixgurVq1O1alWWLl2Kh4cHrVu3Zt++fcyZM4fy5ctbXaZDnnzyScLCwqhUqRIXL17k+eefZ+LEiVaXJSIuTgFQRJxGbGws8+fPp1KlSjz//POsW7cOb29vOnXqxKFDh5gyZQolS5a0uswEy5kzJ2vWrKFFixbcuHGD9u3b8/777xMbG2t1aSLiohQARSTNu3XrFlOnTqVMmTI0bdqU7du34+fnR/fu3Tl69Chjx46lYMGCVpeZJH5+fkydOpX+/fsD8NlnnxESEsKVK1csrkxEXJHNbrfbH3VQZGQkGTNmJCIigsDAwNSoS0SEmJgYJk+ezNChQzly5AgAgYGBvPHGG/To0YPs2bNbXGHKmDJlCh06dCAmJoZy5cqxYMECcufObXVZIpLGJSSvKQCKSJoTHR3NuHHj+O9//8tff/0FQJYsWXj77bd54403yJQpk7UFpoKNGzfSrFkzzp8/T548eVi4cCFly5a1uiwRScMSktfUBSwiaUZkZCRDhw7l8ccfp3v37vz111/kypWLL774guPHj9OvXz+3CH8AVatWJSwsjOLFi3Py5EmqVq3KggULrC5LRFyEAqCIWO6ff/7hww8/5LHHHqNPnz6cO3eOAgUK8O2333L06FHefvtt0qdPb3WZqe6JJ55g8+bN1KlTh+joaJo2bcqwYcNwoONGROShFABFxDKnT5+mZ8+ePPbYY3z88cdcunSJYsWKMWnSJA4dOkSXLl3w9fW1ukxLZcqUicWLF9OlSxfsdju9evWic+fO3Lhxw+rSRMSJKQCKSKo7duwYXbt25fHHH2f48OFcuXKFsmXLMnPmTPbv30+bNm3w9va2usw0w9vbm2+++YYRI0bg4eHBuHHjqFevHhcvXrS6NBFxUmk6AFavDj16mNcFCsCIEcl3bZsN5s1LvuuJyKMdPHiQdu3aUbhwYb799luuX79OlSpVWLJkCTt37iQkJMTSdXrTMpvNRvfu3VmwYAEBAQGsXr2ap59++vboaBGRhHCan7Tbt0Pnzsl3vdOnoX795LteQly4AN26QdGi4O8P+fPDW29BRET8MWvXmpB6v237dmvqFkms3bt306JFC4oXL86kSZO4efMmderUYe3atWzYsIH69eunmXV607oGDRqwadMm8uXLd3v5uPXr11tdlog4GacJgNmymbCUXHLmhHTpku96CXHqlNmGDYNff4UffoBly6BDh/hjnnnGhNQ7t44dTUuok6xwJcKWLVto2LDh7e5du91OkyZNCAsLY/ny5Tz33HMKfolQunRpwsLCqFChAhcuXKB27dr88MMPVpclIk7EaQLgvV3A4eFQtSr4+kKJErByZcK6de889tgx8/2MGVCtGvj5QYUKcOiQaW0rXx4CAqBePfj777uvM2EClCxpwmSuXPDmm4++d6lSMHs2NGoEBQtCzZoweDAsXAg3b5pjfHxMSI3bsmSBBQugfXtTq0haZbfbWbVqFTVr1uSZZ55h8eLFeHh48PLLL7N3717mzZtHxYoVrS7T6eXKlYt169bxn//8hxs3bvDaa6/Rp08fLR8nIg5xmgB4p9hYaNrUtAiGhcHYsdCvX9KvO2AA9O8Pu3aBlxe8/DL07g0jR8KGDfD77/Dhh/HHf/stvPGG6Zr+9VcT0AoVSty9IyIgMNDc934WLIDz56Fdu8RdXySl2e12Fi5cSOXKlalduzZr1qzB29ubDh06EB4ezk8//cSTTz5pdZkuxc/Pj2nTpt1ePm7o0KG0aNGC6OhoiysTkbTuAXEjbVu+3ISxtWtN6xiYFrQ6dZJ23Z49oW5d87p7dxMAV62CKlXMvg4dTHdtnE8+gXffNcfGqVAh4ff95x/4+GN4/fUHHzN+vKktX76EX18kJd26dYtZs2YxZMgQ9u7dC4Cvry+dOnWiV69e5NM/2hTl4eHBxx9/TJEiRejYsSOzZ8/m+PHjLFiwgFy5clldnoikUU7ZAnjwoAlCceEPIDl6lEqXjn+dI4f5emeDRY4ccO6ceX3unHmOr1atpN0zMhIaNDDd2AMG3P+Yv/6Cn3+++xlBEavduHGDiRMnUqJECV566SX27t1LhgwZeO+99zh27BijRo1S+EtFr776KitXriRLlizs2LGDihUrsnv3bqvLEpE0yilbAO32lHkO7s5px+Kuf+++uMdr/PySfr+oKPNcYUAAzJ17973uNHGieQawceOk31Mkqa5du8b8+fMJDQ3l9OnTpE+fnurVq/Pyyy/z0ksvab1wC1WrVo2wsDAaNmxIeHg4VatWZerUqTRq1Mjq0kQkjXHKAFisGPz5J5w9G99Sl9pTo2TIYAamrFoFNWok/PzISNOlmy6deb7vQYsd2O0mALZp8+CAKJKafH19admyJS1btrS6FLmPggULsmXLFkJCQli1ahVNmjRh2LBhvP322xpxLSK3OWUXcJ06ZvRs27awdy9s2hQ/CCQ1f74NHAjDh8OoUXD4sBk88tVXjz4vKgqefx6uXDHP9kVGwpkzZrt16+5jV6+GP/5Q96+IOC5TpkwsXbqUzp07Y7fbeffdd+nSpYuWjxOR25wyAHp6milcLl82gy46djSjd+HBLWkpoW1bMzXNN9+YqWAaNjRB8FF27jSjl3/91YwazpUrfjtx4u5jx483cwIWL54iH0FEXJS3tzffffcdX3zxBTabjbFjx1K/fn0tHyciANjsdrv9UQdFRkaSMWNGIiIi0uzzPZs2mXkBjxwxrYMPc/26CYorVkDt2qlTn4iIVRYuXMjLL7/MlStXKFq0KIsXL6bgo35QiojTSUhec8oWQDCDJlasMJM4r1xp5uKrUuXR4S8yEqZOBQ8P8yyhiIira9SoEZs2bSJv3rwcPHiQSpUqsWHDBqvLEhELOW0AjIqCrl1NiGvXznQFz59v3hsyxIysvd/WpAm89x589hnkzZsytf3444PvX7JkytxTRORhypQpw7Zt2yhfvjz//PMPtWrVIjQ01OqyRMQiLtMFfKcLF8x2P35+kCdPyt4/KsqMUL4fb2947LGUvb+IyINER0fTpk0bZs+eDUDfvn35+OOP8fBw2vYAEfmfhOQ1lwyAIq6uenV46ikzCKlAAejRw2ypYeBAMwhLcww7r9jYWD744AOGDBkCQEhICJMmTcLf39/iykQkKdziGUARMbZvN8/AppaePc38l6nh+nUTdG22+wfOH34wK/j4+pqVgd58M3XqcnYeHh4MHjyYH374AW9vb2bNmkX16tU5ffq01aWJSCpRABRxctmyQWo23AQEmJVpUkPv3pA79/3f++ILM//n++/D/v0mlMat5S2Oadu2LStXriQoKIjt27dTqVIl9uzZY3VZIpIKFABFnFyBAqYrOE54uJkSydfXrDG9cqVpQZs3z7HrnTwJLVtC5swm6DVpYkbbxxk40LTKxWnXDpo2NYOvcuSATJlg0CC4eRN69YKgIDPgasKEhH2upUth+XIYNuzf7128aOb+DA2FVq3M6P+SJUErniXcs88+S1hYGEWLFuXEiRNUrVqVRYsWWV2WiKQwBUARFxIba8KYv7+ZbHzs2PhVchwRHW2WNgwIgPXrYeNG87pePYiJefB5q1fDqVPmnC++MCGxYUMTIsPCoEsXs9070fmDnD0LnTrB5Mn3b91cscJ81pMnzSTpefNCixaOX1/uVqhQIbZs2ULNmjW5fPkyjRs35ssvv8SBR8RFxEm5bAA8ffo0/fv3Jzg4mODgYJ5++mlGjhxJVFSU1aWJpJjly+H3303LWJkypiVw8GDHz582zcyROW4cPPmkCVcTJ5q1t9euffB5QUFmScSiRaF9e/M1Ohr69oXChaFPH/DxMRO2P4rdbloVu3SB8uXvf8zRoyYADhliWj9nzTIj/+vUeXhQlQfLnDkzy5Yto1OnTtjtdt555x3+7//+T8vHibgolw2AuXLl4pNPPuH7778nU6ZMhIWF0aNHDwoUKMDIkSOJ0W8JcUEHD0K+fGZARJyKFR0/f+dOs5pOhgzxc1cGBcG1ayZYPkjJkiY4xsmRwwTIOJ6epjv53LlH1/DVV2bC9j59HnxMbCzcuGFCZ9268PTTZoL3w4dhzZpH30Puz9vbmzFjxjB8+HBsNhtjxoyhQYMGXLp0yerSRCSZuWwAjFOuXDlWrVrFokWLKFGiBBcuXKBHjx6UKFGCmTNnqotDXIrdbp73S6zYWChXzoy4vXM7dMg8a/cg3t53f2+z3X9fbOyja1i9GrZuhXTpwMvLrJcNpjWwbVvzOlcu87VEifjzsmWDrFlNa6Ukns1m45133mHevHmkT5+eFStWULlyZX5/2F8AIuJ0XD4AgvmB1qBBA/bs2cPYsWPJkSMHv//+Oy1atKBKlSps3rzZ6hJFkkWxYiYA3TkR+fbtjp8fHGxa0bJnN8Hrzi1jxuSv935GjYI9e+LD55IlZv/06fHd2VWqmK8HD8afd+ECnD+vidaTS+PGjdmwYQN58uQhPDycSpUqsXHjRqvLEpFk4hYBMI6XlxedOnXiyJEjDBgwAH9/f7Zs2UKVKlV48cUXOXz4sNUliiRJnTpmRGzbtrB3r3nmLm4QiCMtg61bm1a0Jk1gwwb44w9Ytw66d4e//krZ2uPkzw+lSsVvRYqY/QULxi/fWKSIqbF7d9i8GfbtM5+5WDEziEWSR9myZdm2bRvlypW7vXzc5MmTrS5LRJKBWwXAOAEBAQwcOJAjR47QqVMnPDw8mDNnDiVKlKBbt278/fffVpcobi6xjyZ4eprpXi5fNutjd+xopksBMy3Mo/j7m5G8+fND8+ZmEEj79nD1KqS1RYBCQ6FSJWjQAJ57znQ5L1v2765nSZrcuXOzfv16mjdvTkxMDG3atKF///7EOtKfLyJplpaCA/bv30/v3r1Z8r++psDAQPr06UP37t3x8/OzuDpxJ8ePH2fy5Mns2LGDeY5O3PcImzaZ0cBHjphWtKTq08e0Dqo30L3ExsbSr18/hg4dCkCLFi344Ycf9DNSJA3RUnAJVLJkSRYvXsyqVasoW7YskZGR9OnTh6JFixIaGqq/dCVFRUZGMnHiRGrUqEGBAgX44IMP+DMJIxnmzjXz5B07ZiaB7tzZPDOX1PBnt5uRwKtWmVG/4l48PDz49NNPmTBhAt7e3syYMYPq1atz5swZq0sTkURQALxDzZo12bFjB6GhoeTLl48TJ07Qtm1bypcvz6rUWvxU3MKtW7dYvnw5rVu3JmfOnLRv3561a9dis9moWbMmgwYNSvS1o6Kga1fzPFy7dqYreP58896QIfHTu9y71a//8OtGRJhRtz4+Zn6/xEpKDWK91157jRUrVhAUFMS2bduoVKkSe/futbosEUkgdQE/wNWrVxk1ahRDhgwhMjISgPr16/P5559TqlQpi6sTZ7Vv3z5CQ0OZMmUKp0+fvr2/aNGitGnThldeeYX8+fOn2P0vXDDb/fj5QZ48KXbrNFWDJN3hw4dp2LAhhw4dIiAggGnTptGgQQOryxJxawnJawqAj3D+/Hk++ugjvv32W27evImHhwevvfYaH330EbkftEq9yB3OnTvH1KlTCQ0NZdeuXbf3BwUF8fLLL9OmTRsqVKiALSkT+IlY4MKFC4SEhLBmzRo8PDz44osveOutt/RvWcQiCoAp4PDhw/Tp04fZs2cD4O/vT8+ePenVqxcBAQEWVydpzbVr11i4cCGhoaEsXbqUW7duAWalhQYNGtCmTRsaNGiAj4+PxZWKJE1MTAxdu3Zl/PjxAPzf//0fI0eOxFvDsUVSnQJgCtq8eTM9e/Zky5YtAOTIkYNBgwbRoUMHvLy8LK5OrGS329myZQuhoaFMnz79ruWzKlSoQNu2bWnZsiVZs2a1rkiRFGC32xk+fDi9e/fGbrdTp04dZsyYQaZMmawuTcStKACmMLvdzuzZs3n//fdvL49UvHhxPv/8cxo0aKDuDzfzxx9/MHnyZEJDQ+9aLitv3ry8+uqrvPrqqxQvXtzCCkVSx7x582jdujXR0dEUL16cRYsW8cQTT1hdlojbUABMJTExMXz33Xd89NFH/PPPPwBUr16dYcOGUa5cOYurk5QUERHBrFmzCA0NZf369bf3p0+fnhdffJE2bdpQvXp1PD09LaxSJPX98ssvNGrUiJMnT5I1a1bmzZtHlbi1+0QkRSkAprJLly7x6aefMnLkSK5fvw5Aq1atGDx4MAUKFLC2OEk2N2/eZOXKlYSGhjJ37lyuXbsGmLWma9WqRZs2bWjWrJmeCRW3d/LkSRo3bsyuXbvw8fFhwoQJtG7d2uqyRFyeAqBFjh8/Tv/+/ZkyZQoA6dKl46233qJv3756FsaJ7d27l9DQUH788ce7Jr0tVqwYbdu25ZVXXiFv3CK1IgLAlStXePXVV5k7dy4AH3zwAYMGDdIjMiIpSAHQYjt37qRXr16sWbMGMNN9fPDBB3Tt2lWjPp3E2bNn+emnn5g0aRJ79uy5vT9Lliy0atWKNm3aUK5cOf0yE3mI2NhY+vbty2effQZAy5YtmThxopaPE0khCoBpgN1uZ8mSJfTu3ZvffvsNgCeeeIKhQ4cSEhKi4JAGXb16lQULFhAaGsrPP/9819QtjRo1ok2bNtSvX18hXiSBJkyYwOuvv87NmzepVKkS8+fPJ0eOHFaXJeJytBZwGmCz2WjQoAF79uxh7Nix5MiRg6NHj9KiRQueeeYZNm3aZHWJggnqGzdupHPnzuTKlYuXXnqJJUuWcOvWLSpVqsQ333zD6dOnmT17Nk2aNFH4E0mE9u3bs2LFCjJnzkxYWBgVK1bk119/dfj86tWhRw/zukABGDEiBYp8gIED4amnUu9+IqlFATCFeXl50alTJ44cOcKAAQPw9/dn69atVK1alebNm3Po0CGrS3RLR48eZeDAgRQqVIhq1arx/fffExERQf78+enXrx/h4eFs3bqV//u//yNLlixWlyvi9KpXr87WrVspXLgwf/75J8888wxLlixJ8HW2b4fOnVOgwAfo2RNSein4AgXAZrt7e//9u4/5809o1AjSp4esWeGttyAmJmXrEtemLuBUdvr0aQYMGMD48eOJjY3Fy8uLLl268OGHH5ItWzary3Nply5dYubMmYSGhrJx48bb+wMCAggJCaFt27Y8++yzeHjo7yKRlHLhwgVefPFF1q5di4eHByNGjKBbt24PPad6ddMKl5otf6mpQAHo0AE6dYrfFxBgNoBbt8znz5YNhg+Hf/6Btm2heXP46isrKpa0KkF5ze6AiIgIO2CPiIhw5HBxwL59++wvvPCCHbAD9sDAQPuQIUPs0dHRVpfmUm7cuGFfvHixvUWLFvZ06dLd/u9ts9nszz//vH3KlCn2y5cvW12miFu5fv26vX379rf/f/z0008fevxzz9nt3bub1489Zrd/+WX8ewcO2O1Vqtjt6dLZ7cWL2+0rVtjtYLfPnetYLX/9Zbe3aGG3Z8pktwcF2e2NG9vtf/wR//6AAXZ7mTLx37dta7c3aWK3Dx5st2fPbrdnzGi3Dxxot9+4Ybf37Gm3Z85st+fJY7ePH+/Y/e/3me61ZInd7uFht588Gb9v6lTzmfVrWe6UkLympg6LlCxZksWLF7Nq1SrKli1LZGQkffv2pWjRooSGhhIbG2t1iU5t9+7dvPPOO+TNm5cGDRowY8YMrl+/TokSJfjss884ceIEP//8M61btyZ9+vRWlyviVnx8fBg3bhyfffYZNpuNGTNmJOo6sbHQtCn4+0NYGIwdC/36OX5+dDTUqGFa2tavh40bzet69R7evbp6NZw6Zc754gvznGDDhpA5s6mjSxeznTjheC2ffQZZspiWvsGD777/li1QqhTkzh2/r25duH4ddu50/B4id1IAtFjNmjXZsWMHkydPJn/+/Jw4cYK2bdtSrlw5Vq5caXV5TuX06dMMHz6cMmXKULZsWb788kvOnj1LtmzZ6N69Ozt37mTfvn307t2bPHnyWF2uiFuz2Wz07t2b2bNnJ3pamOXL4fffITQUypSBqlVNeHLUtGng4QHjxsGTT0Lx4jBxonnebu3aB58XFASjRkHRotC+vfkaHQ19+0LhwtCnD/j4gKNj/bp3N7WsWQNvvmm6urt2jX//zBm4d9B05szmHndMTSqSIF5WFyDg4eHBK6+8wosvvsioUaMYMmQIu3fvpk6dOtSvX5/PP/+cUqVKWV1mmnTt2jXWrl3LokWL2Lp1K7GxsXh6elKxYkWee+45GjZsSOXKlfH29ra6VBG5j2bNmlGsWLFEnXvwIOTLBzlzxu+rWNHx83fuhCNHIEOGu/dfu2aC5YOULGmCY5wcOUwLXRxPT9Oad+6cY3W8/Xb869KlTbgLCYlvFQQzMORedvv994s4QgEwDfHz8+O9996jQ4cOfPzxx3zzzTcsXbqUn3/+mddee42PPvqI3Hf2AQi+vr7Uq1ePevXqWV2KiCRS8eLFE3VeUgNQbCyUKwc//vjv9x42Ju/evydttvvvS+yTPE8/bb4eOWICYM6cpmv5Thcvwo0b/24ZFHGUuoDToKxZszJy5EgOHDhASEgIsbGxjB8/nsKFCzNgwAAuX75sdYkiIpYrVsx01549G79v+3bHzw8OhsOHIXt2KFTo7i1jxuSv11G//GK+5splvlauDPv2wenT8ccsXw7p0pkAK5IYCoBpWKFChZg5cyabNm2icuXKREdH89FHH1GoUCHGjBnDzZs3rS5RRMQydepAwYJmSpS9e80zd3GDQBxpGWzd2syp16QJbNgAf/wB69aZZ/L++itla4+zZQt8+SXs3m3uP2MGvP46NG4M+fObY55/HkqUgFdfNeFw1SozP2GnTqCZ2SSxFACdQNzKIbNmzaJQoUKcPXuWLl26ULp0aRYtWoT90VM5ioi4HE9PmDcPLl+GChWgY0fo39+85+v76PP9/c1I3vz5zZx6xYubQR1Xr6ZesEqXDqZPN3MdligBH35ogt3UqfHHeHrC4sXmM1WpAi1amNHPw4alTo3imjQRtJOJiYnhu+++46OPPuKff/4BzAz7w4YNo5z6AkTEzW3aZEYDHzliWgeTqk8f0zp4x9zxImmW1gJ2YT4+Prz11lscOXKE9957j3Tp0rF27VrKly9P69atOXbsmNUlioikmrlzYcUKOHYMVq40y8RVqZL08Ge3m5HAq1aZUb8irkYB0EllypSJoUOHcvDgQV555RUAfvrpJ4oVK0bv3r25dOlSku+Rkguw22ym60ZEJCmiosycecWKQbt2pit4/nzz3pAh8Uuq3bvVr//w60ZEmC5ZHx8zv19iJaUGkZSkLmAXsWvXLnr16sXq1asBCAoK4oMPPqBr1674+Pgk6pp3rr/5999mEXJ//+Sp98wZM9dVunTJc72EuHABBgwwo+hOnDAPgTdtCh9/fPfIv8aNzYPZ586ZWmvXNvNyaSYeEedw4YLZ7sfPD1JjPvi0UIO4j4TkNQVAF2K321m6dCm9evXit99+A+CJJ55g6NChhISEYEvghFmuugD7vn0mALZrZ/7CP37cLNtUujTMmhV/3JdfmukXcuWCkyfNqDuAzZstKVtEROSh9Aygm7LZbLzwwgvs2bOHsWPHkjNnTo4ePUqLFi1ujyROrHu7gMPDzYPWvr4mRK1cmbBu3TuPPXbMfD9jBlSrZv4qrlABDh0yc3qVLx+/Pufff999nQkTzPM56dKZoPbmm4++d6lSMHs2NGpknhOqWdMsH7VwIdw5s87bb5sJWR97DJ55Bt5/H7ZuNZOvioiIODMFQBfk5eVFp06dOHz4MAMHDsTf35+tW7dStWpVmjdvzqFDh5J0/aQuwP4gAwaYKRx27QIvL3j5ZejdG0aONKPwfv/dTJEQ59tv4Y03zEPfv/4KCxaYCVwTIyLCTPvg9YC1cS5cMKsFPPPMv2f8FxERcTYKgC4sICCAAQMGcOTIETp16oSHhwdz586lZMmSvPnmm1y8eDFR103qAuwP0rMn1K1r5uLq3t0EwQ8+MCP6ypaFDh3MYulxPvkE3n3XHFukiGk1jBu0khD//GOe/3v99X+/99575tnHLFnMigNxD5eLiIg4MwVAN5ArVy7Gjh3L3r17adCgATdv3uTrr7+mcePGibpeUhdgf5DSpeNfx61v+eSTd++LW1z93Dk4dQpq1UraPSMjoUED0409YMC/3+/Vy8y8v3y5mYy1TRszPYSIiIgzUwB0IyVLlmTRokWsWrWKsmXLcuXKlURdJ6kLsD/InV2rcde/d1/c4up+fkm/X1SUea4wIMDMJXa/rt2sWU3rYp06MG0aLFlingMUkbRt/fr1NGzYkODgYIKDg+nRowcnT560uiyRNEMB0A3VrFmTHTt28MknnyTq/KQuwJ4cMmQwA1NWrUrc+ZGRZn1NHx/z7KAjy0bFtfxdv564e4pI6nn22WeZMWMG9evXZ9++fYwcOZLChQszZMgQYmJirC5PxHIKgG7Kw8ODF154IVHnJnUB9uQycCAMHw6jRsHhw+aZwa++evR5UVEm/F25AuPHmzB45ozZbt0yx2zbBqNHm3kAjx83zx62amU+d+XKKfmpRCS5+Pv7M3jwYPbs2UONGjW4evUq/fr1o0yZMrfnTBVxVwqAkmBJXYA9ubRta6am+eYbMxVMw4YmCD7Kzp1m9PKvv5pRw7lyxW8nTphj/PxgzhzzjGHRomaB+FKlYN06ayavFpHEK168OKtWrWLKlClkz56d8PBwatWqxSuvvMKZM2esLk/EEpoIWpJFQhZgv37dBMUVK8zqGiIiqeXSpUv079+fb775BrvdTsaMGRk8eDBdunTB09PT6vJEkkQTQUuKS+wC7JGRMHUqeHiYZwlFRFJTpkyZGD16NNu2baNcuXJERETw5ptvUqlSJban9sPMIhZSAJRESewC7E2amLn1PvsM8uZNmdp+/PHB9y9ZMmXuKSLOpXz58oSFhfH111+TMWNGdu7cSaVKlejatSuXLl2yujyRFKcuYEl2Vi9+HhV19wjlO3l7m6XdRETinD17lp49ezJlyhQAsmfPzvDhw2ndunWC11AXsVJC8poCoIiICLBmzRq6du1KeHg4ANWrV+ebb76hePHiFlcm4hg9AygiIpJANWrUYM+ePQwZMgQ/Pz/Wrl1LmTJl6NOnD9HR0VaXJ5KsFABFRET+x8fHhz59+vDbb7/RqFEjbty4wdChQylRogQLFy60ujyRZKMAKCIico8CBQqwYMEC5s2bR/78+Tl+/DiNGzemSZMmHD9+3OryRJJMAVBEROQBmjRpwm+//cZ7772Hl5cXCxYsoHjx4gwdOlRLyolTUwB0c9evX6dWrVoEBwezfv16q8sREUlz0qdPz9ChQ9mzZw/PPfccV69epU+fPpQtW5Z169ZZXZ5IoigAurn58+ezevVqzp49yzPPPGN1OSIiaVaJEiVYs2YNkyZNIlu2bPz2229Ur16dNm3acPZBc0+JpFEKgG7u+++/B6B9+/Z4eXlZXI2ISNpms9lo06YNBw8epEuXLthsNiZPnkyxYsX49ttvuXXrltUlijhEAdCNHT16lJUrV2Kz2ejQoYPV5YiIOI3MmTPz7bffsnXrVoKDg7l06RJdu3alcuXK7Ny50+ryRB5JAdCNjR8/HoA6depQoEABa4sREXFCFStWZNu2bXz11VcEBgayfft2KlasSLdu3YiIiLC6PJEHUgB0Uzdu3GDChAkAdOrUyeJqREScl6enJ2+++Sbh4eG8/PLLxMbGMnr0aIoWLcpPP/2EAwtuiaQ6BUA3tXjxYs6cOUO2bNlo3Lix1eWIiDi9XLly8dNPP7Fy5UqKFCnC2bNnad26NbVr1769vJxIWqEA6KbiBn+0a9cOHx8fi6sREXEdtWrVYu/evXz88cf4+vqyevVqSpcuTf/+/bWknKQZNrsDbdMJWVxY0r4TJ05QoEABYmNjOXjwIEWKFLG6JBERl3T06FG6devGkiVLALPCyOjRo2nQoIHFlYkrSkheUwugG5owYQKxsbE899xzCn8iIinoiSeeYNGiRcyZM4e8efNy7NgxGjZsSPPmzfnzzz+tLk/cmAKgm7l169bt0b+dO3e2uBoREddns9lo1qwZBw4coFevXnh5eTF37lyKFy/Of//7X27cuGF1ieKGFADdzPLlyzlx4gRBQUE0b97c6nJERNxGQEAAn3/+Ob/88gtVq1YlOjqa3r17U7ZsWTZs2GB1eeJmFADdTNzgj1dffRVfX1+LqxERcT+lSpVi3bp1TJw4kaxZs7J//36effZZ2rVrx99//211eeImFADdyJkzZ1i4cCGguf9ERKzk4eFBu3btCA8Pv/04zqRJkyhatChjxowhNjbW4grF1SkAupEffviBmzdvUrlyZUqWLGl1OSIibi9LliyMGTOGLVu2UKZMGS5evEiXLl145pln+OWXX6wuT1yYAqCbiI2NZdy4cYBa/0RE0pqnn36aHTt2MGLECDJkyEBYWBjly5ene/fuREZGWl2euCAFQDexdu1afv/9dwIDA2nRooXV5YiIyD28vLzo3r074eHhtGzZktjYWEaNGkWxYsWYPn26lpSTZKUA6CbiBn+0atWK9OnTW1yNiIg8SO7cuZk2bRo///wzhQoV4vTp07z00ks8//zzHDp0yOryxEUoALqB8+fPM2fOHEDdvyIizuL555/n119/ZdCgQaRLl46VK1fy5JNP8uGHH3L16lWryxMnpwDoBiZPnkxMTAzBwcEEBwdbXY6IiDjI19eXDz/8kH379lG3bl1iYmL4+OOPKVWqFEuXLrW6PHFiCoAuzm633+7+VeufiIhzKlSoEEuXLmXmzJnkyZOHo0eP8sILLxASEsJff/1ldXnihBQAXdzmzZs5cOAA/v7+tGrVyupyREQkkWw2GyEhIRw4cIB33nkHT09PZs+eTbFixRg+fHiSlpSrXh169DCvCxSAESOSoWAHDRwITz2VevcTQwHQxcW1/rVs2ZLAwECLqxERkaTKkCEDw4cPZ9euXVSuXJkrV67Qs2dPypUrx6ZNm5J8/e3bITWXiu/ZE1atSp17Xb9uwqbNBrt3x+/fswdefhny5QM/PyheHEaOTJ2arKIA6MIuXbrEjBkzAHX/ioi4mtKlS7Nx40bGjRtHUFAQv/76K1WrVqVDhw6cP38+0dfNlg38/ZOx0EcICIAsWVLnXr17Q+7c/96/c6f53FOmwP790K8f9OkDo0enTl1WUAB0YT/++CNXr16lZMmSPP3001aXIyIiyczDw4MOHTpw8OBBOnToAMCECRMoWrQo48aNS9SScvd2AYeHQ9Wq4OsLJUrAypWmBW3ePMeud/IktGwJmTOboNekCRw7Fv/+vV3A7dpB06YwZAjkyAGZMsGgQXDzJvTqBUFBkDcvTJiQsM+1dCksXw7Dhv37vfbtYdQoeO45eOIJeOUVeO01+N8EGi5JAdBF3Tv4w2azWVyRiIiklKxZszJu3Dg2btzIk08+yYULF+jUqRNVq1Zlz549ib5ubKwJY/7+EBYGY8ea1jFHRUdDjRqmlW/9eti40byuVw9iYh583urVcOqUOeeLL0xIbNjQhMiwMOjSxWwnTjhWx9mz0KkTTJ7seOtmRIQJm65KAdBF7dixgz179pAuXTpeffVVq8sREZFUUKVKFXbt2sXw4cMJCAhgy5YtlCtXjuHDhyfqesuXw++/Q2golCljWgIHD3b8/GnTwMMDxo2DJ580z9ZNnAh//glr1z74vKAg0yJXtKhpnSta1ITJvn2hcGHTPevjA4488mi3m1bFLl2gfHnH6t6yBWbMgNdfd+x4Z6QA6KLiWv9CQkIIcuU/YURE5C5eXl688847HDhwgJCQEG7dusWPP/6YqGsdPGgGRuTMGb+vYkXHz9+5E44cgQwZTMtfQIAJd9eumWD5ICVLmuAYJ0cOEyDjeHqa7uRz5x5dw1dfQWSkCY2O2L/fdFN/+CHUqePYOc7Iy+oCJPldvnyZqVOnAhr8ISLirvLmzcvMmTNZtmwZ33zzTaKuYbeb5/0SKzYWypWD++XPbNkefJ63993f22z33+fII46rV8PWrZAu3d37y5eH1q1h0qT4fb/9BjVrmu7i/v0ffW1npgDogqZNm8bly5cpUqQIzz77rNXliIiIherVq0f16tUTdW6xYqa79uxZ0woHZpoYRwUHw/TpkD07WDUT2ahR8Mkn8d+fOgV165q6KlWK379/vwl/bdsmrJvbWakL2AXFdf927NhRgz9ERARfX99EnVenDhQsaELR3r3mmbu4QSCO/Hpp3RqyZjVdqhs2wB9/wLp10L07pNYCJvnzQ6lS8VuRImZ/wYJmNDGY8Fejhvm877wDZ86Y7e+/U6dGKygAupi9e/eybds2vL29adu2rdXliIiIE/P0NNO9XL4MFSpAx47xXaOOZEp/fzOSN39+aN7cDAJp3x6uXrWuRfB+Zs40Ye/HHyFXrvitQgWrK0s5Nrvdbn/UQZGRkWTMmJGIiAitJpHGdevWjdGjRxMSEsLMmTOtLkdERFzMpk1mNPCRI6YVLan69DGtgxs3Jv1a7i4heU3PALqQq1evMmXKFECDP0REJHnMnWtG7xYubEJf9+5QpUrSw5/dDkePmmXgypZNnlrFceoCdiGzZs3i0qVLFChQgNq1a1tdjoiIuICoKOja1QwIadfOdIvOn2/eGzIkfnqXe7f69R9+3YgIs7KIj4+Z3y+xklKDO1MXsAt59tln2bBhAx9//DH9XX38uoiIWO7CBbPdj58f5MnjHjWkFeoCdkPh4eFs2LABDw8PXnvtNavLERERNxAUZP1yaWmhBmekLmAXMW7cOAAaNGhAHnf6c0dEREQSTAHQBVy/fp1J/5vKXIM/RERE5FEUAF3A/PnzOX/+PLlz56a+nngVERGRR1AAdAFxK3+0b98eLy891ikiIiIPpwDo5I4ePcrKlSux2Wx06NDB6nJERMRNhIeH07FjR4KDgwkODqZ+/fosW7YMByYXkTRAAdDJxQ3+qFOnDgUKFLC2GBERcRvFihXj+++/p2/fvly4cIFly5ZRv359qlatyvbt260uTx5BAdCJ3bhxg4kTJwIa/CEiIqnPZrMREhLCgQMH+OSTT0ifPj2bN2+mYsWKtGvXjlOnTlldojyAAqATW7x4MWfOnCF79uw0btzY6nJERMRN+fn50a9fPw4dOkSbNm0AmDRpEkWKFGHIkCFcu3bN4grlXgqATixu8Ee7du3w8fGxuBoREXF3uXPnZtKkSYSFhfH0009z5coV+vXrR/HixZk9e7aeD0xDFACd1IkTJ1i2bBkAHTt2tLgaERGReBUrVmTz5s1MmTKFPHnycOzYMUJCQqhRowa7d++2ujxBAdBpTZgwgdjYWKpXr07hwoWtLkdEROQuNpuN1q1bc/DgQT788EN8fX1Zt24dwcHBdO7cmXPnzlldoltTAHRCt27dYvz48YAGf4iISNqWPn16Bg0aRHh4OC1btsRut/P9999TuHBhhg8fTkxMjNUluiUFQCe0fPlyTpw4QVBQEM2bN7e6HBERkUd67LHHmDZtGhs2bKBcuXJERkbSs2dPSpUqxcKFC/V8YCpTAHRCcYM/Xn31VXx9fS2uRkRExHFVq1Zl27ZtTJgwgRw5cnD48GEaN25M3bp12b9/v9XluQ0FQCdz5swZFi5cCKj7V0REnJOHhwevvfYahw4d4r333sPHx4cVK1ZQpkwZunXrxoULF6wu0eUpADqZH374gZs3b1K5cmVKlixpdTkiIiKJFhgYyNChQ/ntt99o1qwZt27dYvTo0RQqVIivvvqKGzduWF2iy1IAdCKxsbG3l35T65+IiLiKggULMmfOHFavXk3p0qW5ePEib731FmXKlOHnn3+2ujyXpADoRNauXcvvv/9OYGAgLVq0sLocERGRZFWjRg127drFd999R9asWTlw4AD16tWjUaNGHDp0yOryXIoCoBOJG/zRqlUr0qdPb3E1IiIiyc/T05PXX3+dw4cP8/bbb+Pl5cWiRYsoVaoU7777LpcuXbK6RJegAOgkzp8/z5w5cwB1/4qIiOvLlCkTX3zxBfv27aNBgwbcuHGDL774giJFijBmzBhu3bpldYlOTQHQSUyePJmYmBiCg4MJDg62uhwREZFUUbRoURYtWsSyZcsoXrw4f//9N126dKFcuXKsXbvW6vKclgKgE4ibNR3U+iciIu6pbt267Nmzh5EjR5IpUyb27NlDjRo1ePHFFzl69KjV5TkdBUAnsHnzZg4cOIC/vz+tWrWyuhwRERFLeHt789Zbb3HkyBHeeOMNPDw8mDNnDsWLF6dv375ERUVZXaLTUAB0AnGtfy1btiQwMNDiakRERKyVJUsWRo8ezZ49e6hduzYxMTF8+umnFClShB9++IHY2FirS0zzFADTuEuXLjFjxgxA3b8iIiJ3KlWqFMuXL2f+/PkUKlSIM2fO8Nprr1GpUiU2bdpkdXlpmgJgGvfjjz9y9epVSpUqxdNPP211OSIiImmKzWajcePG7Nu3j//+978EBgayY8cOqlatyssvv8yff/5pdYlpkgJgGnbv4A+bzWZxRSIiImlTunTp6NmzJ4cOHaJjx47YbDamTZtGsWLFGDhwINHR0VaXmKYoAKZhO3bsYM+ePaRLl45XXnnF6nJERETSvBw5cvD999+zc+dOnn32Wa5evcqgQYMoWrQoP/30E3a73eoS0wQFwDQsrvUvJCSEoKAgi6sRERFxHmXLlmXt2rXMnDmTAgUK8Ndff9G6dWuqVKnC9u3brS4vRXh4OB7rFADTqMuXLzN16lRAgz9EREQSw2azERISwoEDBxg8eDDp06dny5YtVKxYkXbt2nHq1CmrS0xWAQEBDh+rAJhGTZs2jcuXL1OkSBGeffZZq8sRERFxWr6+vvTt25dDhw7Rpk0bACZNmkSRIkUYMmQI165ds7jC1KcAmEbFdf/GPcgqIiIiSZM7d24mTZpEWFgYlStX5sqVK/Tr14/ixYsza9Yst3o+UAEwDdq7dy/btm3D29ubtm3bWl2OiIiIS6lYsSKbNm3ixx9/JG/evBw7doz//Oc/1KhRg927d1tdXqpQAEyD4lr/mjRpQvbs2S2uRkRExPXYbDZatWpFeHg4H374Ib6+vqxbt47g4GA6d+7MuXPnrC4xRSkApjFXr15lypQpgAZ/iIiIpLT06dMzaNAgDh48yEsvvXR7Dt7ChQszfPhwYmJirC4xRSgApjGzZs3i0qVLFChQgNq1a1tdjoiIiFvInz8/U6dOZePGjZQrV47IyEh69uxJqVKlWLhwYZKeD6xeHXr0MK8LFIARI5Kh4CRSAExj4rp/O3TokKD5fERERCTpqlSpwrZt25gwYQI5c+bk8OHDNG7cmLp167J///4kX3/7dujcORkKTSIljDQkPDycDRs24OHhwWuvvWZ1OSIiIm4p7vfwoUOHeP/99/Hx8WHFihWUKVOGN998k3/++SfR186WDfz9k7HYRFIATEOWLl1K2bJl6datG3ny5LG6HBEREbeWIUMGPv30Uw4cOEDz5s25desWX3/9NYULF+arr77ixo0bCb7mvV3A4eFQtSr4+kKJErByJdhsMG+eY9c7eRJatoTMmSFLFsfrUABMQ95++2127drFiLTwcICIiIgA8MQTTzB79mxWr15N6dKluXjxIm+99RZlypTh559/TvR1Y2OhaVPTIhgWBmPHQr9+jp8fHQ01akBAAKxfDxs3On6uAqCIiIiIA2rUqMGuXbv47rvvyJo1KwcOHKBevXr0iBvhkUDLl8Pvv0NoKJQpY1oCBw92/Pxp08DDA8aNgyefhOLFHT9XAVBERETEQZ6enrz++uscPnyYd955By8vL9avX5+oax08CPnyQc6c8fsqVnT8/J074cgRyJDBtAImYClgBUARERGRhMqUKRPDhw9n3759VKtWLVHXsNvN836JFRsL5crB7t3xm6MUAEVEREQSqWjRoowcOTJR5xYrBn/+CWfPxu/bvt3x84OD4fBhyJ4dChUym6MUAEVEREQsUKcOFCwIbdvC3r2waVP8IBBHWgZbt4asWaFJE9iwAf74w/F7KwBaKCVnBk/IEHIRERFJfZ6e5nf15ctQoQJ07Aj9+5v3fH0ffb6/vxn9mz8/NG+esEEgXomqWJLd9u2QPn3yXe/0aTMnkBUuXIABA8zophMnzF8nTZvCxx9Dxozxxx06BL16mb94YmLMCKZPPjFD2kVERFzF2rXxr48du/u9YsXunr5l0ybz1dHu3Jw5YdKk+O8dfaZQATCNyJYtea9354ii1HbqlNmGDTOTWh4/Dl26mH2zZsUf16ABFCkCq1eDn59pAW3Y0AyJt7J+ERGR1DJ3rhm9W7iwGdHbvTtUqWK6hlOSuoDTiOSeGfzOY48dM9/PmAHVqpmwVaGCaYHbvh3Klzf/+OrVg7//vvs6EyZAyZKQLh3kygVvvvnoe5cqBbNnQ6NG5h9wzZpmXqOFC+HmTXPM+fPmH/r770Pp0uYf/tChZlLLZFhqUURExClERUHXrqYlsF078/t5/nzz3pAh8dO73LvVr5+0+6oFMA2Kmxk8f34zM3hUFLz7btKvO2CACZn580P79vDyyxAYCCNHmucIWrSADz+Eb781x3/7Lbzzjglm9etDRER803RCRUSYe3n9719clizmWYXQUDOKKV06GDMGcuQwQ9pFRETcQZs2ZrufLl3M7+b78fNL2n0VANOguJnB166N7wodPNiMFkqKnj2hbl3zunt3EwBXrTJNzQAdOsAPP8Qf/8knJnh27x6/r0KFhN/3n3/M83+vvx6/z2aDFSvMyKUMGcxM5jlywLJlkClTwu8hIiLiaoKCzJYS1AWcBiV1ZvAHKV06/nWOHObrk0/eve/cOfP63DnzzF6tWkm7Z2SkedavRAnTAhnHbjdN3tmzm6Hr27aZMNiwoRnAIiIiIilHATANSurM4A/i7R3/Ou769+6LjTWvk9q0DKbrul4986zC3Ll332v1ali0yKxjWKWK6Qb+5htz3ztHM4mIiEjyUwBMg5I6M3hyyJDBDExZtSpx50dGwvPPg48PLFjw7/mMoqPNV497/gV6eMSHUBEREUkZegYwDbpzZvDPPzctaQmZGTy5DBxoHkDNnt0MAomKMoNAunV7+HlRUSb8RUfDlCkmDEZGmveyZTMTX1aubOYpbNvWDDzx84PvvzezmDdokOIfTURExK2pBTANSurM4MmlbVszavibb8xUMA0bmjUHH2XnTjN6+ddfzUSWuXLFbydOmGOyZjUDPi5fNtPElC9vJsKcPx/KlEnRjyUiIuKSLl++7PCxNrvdbn/UQZGRkWTMmJGIiAgCAwOTVJwkzqZNZl7AI0cePTnk9esmKK5YAbVrp059IiIiYq2E5DV1AadRiZ0ZPDIS5swxz9IVK5Y6tYqIiIhzUQBMo6KioHfv+LV0a9eG4cPNe0OGmO1+KlSA336Dzz6DvHlTprYff7x7Tr87PfaYVvIQERFJ69QF7IQuXDDb/fj5QZ48KXv/qKi7RyjfydvbhEARERFJXeoCdnEpOTO4IzJkMJuIiIg4J40CFhEREXEzCoAiIiIibkYBUERERMTNKACKiIiIuBkFQBERERE3owAoIiIi4mYUAEVERETcjAKgiIiIiJtxaCLouMVCIiMjU7QYEREREUmcuJzmwCJvjgXAqKgoAPLly5eEskREREQkpUVFRZExY8aHHuPQWsCxsbGcOnWKDBkyYLPZkq1AEREREUkedrudqKgocufOjYfHw5/ycygAioiIiIjr0CAQERERETejACgiIiLiZhQARURERNyMAqCIiIiIm1EAFBEREXEzCoAiIiIibkYBUERERMTN/D88i3F17xtS1gAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Visualize the MST network\n", "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", @@ -823,22 +567,10 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "3335c478-ce7c-41a4-b36f-2e4c79581050", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Visualize the LOMAP network\n", "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", @@ -848,22 +580,10 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "e1c09036-efc7-4bc4-9851-ac16992bf041", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Visualize the radial network\n", "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", @@ -883,20 +603,10 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "ad80c243-82d7-4599-a4a6-5d651c662f24", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "molecule A smiles: O=C(Nc1ccnc(NC(=O)[C@H]2C[C@H]2F)c1)c1c(Cl)cccc1Cl\n", - "molecule B smiles: O=C(Nc1ccnc(NC(=O)[C@H]2C[C@H]2Cl)c1)c1c(Cl)cccc1Cl\n", - "map between molecule A and B: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, 10: 10, 11: 11, 12: 12, 13: 13, 14: 14, 15: 15, 16: 16, 17: 17, 18: 18, 19: 19, 20: 20, 21: 21, 22: 22, 23: 23, 24: 24, 25: 25, 26: 26, 27: 27, 28: 28, 29: 29, 30: 30, 31: 31, 32: 32, 33: 33, 34: 34, 35: 35}\n" - ] - } - ], + "outputs": [], "source": [ "mst_edges = [edge for edge in mst_network.edges]\n", "\n", @@ -911,7 +621,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "9f92262f", "metadata": { "colab": { @@ -921,18 +631,7 @@ "id": "9f92262f", "outputId": "d8dc47c7-c487-4f78-9e19-c388ef6a7c51" }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# We can display the atom mapping of an edge by calling it\n", "edge" @@ -940,7 +639,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "66dd7d32", "metadata": { "colab": { @@ -950,19 +649,7 @@ "id": "66dd7d32", "outputId": "13a421f2-ce17-49c6-aac0-e3c157d59a91" }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from IPython.display import Image\n", "\n", @@ -989,7 +676,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "id": "0be4c1f4", "metadata": { "id": "0be4c1f4" @@ -1068,7 +755,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "id": "0b6c9ec3", "metadata": { "id": "0b6c9ec3" @@ -1089,7 +776,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "id": "8c6d6504", "metadata": { "colab": { @@ -1099,18 +786,7 @@ "id": "8c6d6504", "outputId": "47026705-938a-4e62-f1af-66e9c50334aa" }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Extract the relevant edge for the lig_ejm_31 -> lig_ejm_47 transform in the radial graph\n", "ejm_31_to_ejm_47 = [edge for edge in mst_network.edges if edge.componentB.name == \"lig_ejm_47\"][0]\n", @@ -1120,7 +796,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "id": "23b778d6", "metadata": { "id": "23b778d6" @@ -1256,28 +932,10 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "id": "309c059b-85c7-4911-a417-69889a474fe1", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "{'early_termination_target_error': ,\n", - " 'equilibration_length': ,\n", - " 'minimization_steps': 5000,\n", - " 'n_replicas': 11,\n", - " 'production_length': ,\n", - " 'real_time_analysis_interval': ,\n", - " 'real_time_analysis_minimum_time': ,\n", - " 'sampler_method': 'repex',\n", - " 'sams_flatness_criteria': 'logZ-flatness',\n", - " 'sams_gamma0': 1.0,\n", - " 'time_per_iteration': }\n" - ] - } - ], + "outputs": [], "source": [ "from openfe.protocols.openmm_rfe import RelativeHybridTopologyProtocol\n", "from openff.units import unit\n", @@ -1307,7 +965,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "id": "d1829ab6", "metadata": { "id": "d1829ab6" @@ -1349,7 +1007,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "id": "853d6eef-e716-4284-b02f-8b06f2beb916", "metadata": {}, "outputs": [], @@ -1398,7 +1056,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "id": "77e72e9a-bac0-4059-b0bf-96c15c9b2696", "metadata": {}, "outputs": [], @@ -1437,7 +1095,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "id": "981cde0c", "metadata": { "colab": { @@ -1447,51 +1105,7 @@ "outputId": "812389bc-3730-416b-8154-79e0e1fb4346", "scrolled": true }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "INFO:\tPreparing the hybrid topology simulation\n", - "INFO:\tParameterizing molecules\n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tCreating hybrid system\n", - "INFO:\tSetting force field terms\n", - "INFO:\tAdding forces\n", - "INFO:\tHybrid system created\n", - "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n", - "/home/richard/miniconda3/envs/openfe_stable/lib/python3.11/site-packages/mdtraj/core/topology.py:91: UserWarning: atom_indices are not monotonically increasing\n", - " warnings.warn('atom_indices are not monotonically increasing')\n", - "INFO:\tCreating and setting up the sampler\n", - "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Please cite the following:\n", - "\n", - " Friedrichs MS, Eastman P, Vaidyanathan V, Houston M, LeGrand S, Beberg AL, Ensign DL, Bruns CM, and Pande VS. Accelerating molecular dynamic simulations on graphics processing unit. J. Comput. Chem. 30:864, 2009. DOI: 10.1002/jcc.21209\n", - " Eastman P and Pande VS. OpenMM: A hardware-independent framework for molecular simulations. Comput. Sci. Eng. 12:34, 2010. DOI: 10.1109/MCSE.2010.27\n", - " Eastman P and Pande VS. Efficient nonbonded interactions for molecular dynamics on a graphics processing unit. J. Comput. Chem. 31:1268, 2010. DOI: 10.1002/jcc.21413\n", - " Eastman P and Pande VS. Constant constraint matrix approximation: A robust, parallelizable constraint method for molecular simulations. J. Chem. Theor. Comput. 6:434, 2010. DOI: 10.1021/ct900463w\n", - " Chodera JD and Shirts MR. Replica exchange and expanded ensemble simulations as Gibbs multistate: Simple improvements for enhanced mixing. J. Chem. Phys., 135:194110, 2011. DOI:10.1063/1.3660669\n", - " \n" - ] - }, - { - "data": { - "text/plain": [ - "{'debug': {'sampler': }}" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# complex dry-run\n", "complex_unit = list(complex_dag.protocol_units)[0]\n", @@ -1501,7 +1115,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": null, "id": "77accb06", "metadata": { "colab": { @@ -1511,51 +1125,7 @@ "outputId": "e0b977c0-7e72-4a49-d3ea-eb0cdb85ed5d", "scrolled": true }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "INFO:\tPreparing the hybrid topology simulation\n", - "INFO:\tParameterizing molecules\n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tCreating hybrid system\n", - "INFO:\tSetting force field terms\n", - "INFO:\tAdding forces\n", - "INFO:\tHybrid system created\n", - "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n", - "/home/richard/miniconda3/envs/openfe_stable/lib/python3.11/site-packages/mdtraj/core/topology.py:91: UserWarning: atom_indices are not monotonically increasing\n", - " warnings.warn('atom_indices are not monotonically increasing')\n", - "INFO:\tCreating and setting up the sampler\n", - "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Please cite the following:\n", - "\n", - " Friedrichs MS, Eastman P, Vaidyanathan V, Houston M, LeGrand S, Beberg AL, Ensign DL, Bruns CM, and Pande VS. Accelerating molecular dynamic simulations on graphics processing unit. J. Comput. Chem. 30:864, 2009. DOI: 10.1002/jcc.21209\n", - " Eastman P and Pande VS. OpenMM: A hardware-independent framework for molecular simulations. Comput. Sci. Eng. 12:34, 2010. DOI: 10.1109/MCSE.2010.27\n", - " Eastman P and Pande VS. Efficient nonbonded interactions for molecular dynamics on a graphics processing unit. J. Comput. Chem. 31:1268, 2010. DOI: 10.1002/jcc.21413\n", - " Eastman P and Pande VS. Constant constraint matrix approximation: A robust, parallelizable constraint method for molecular simulations. J. Chem. Theor. Comput. 6:434, 2010. DOI: 10.1021/ct900463w\n", - " Chodera JD and Shirts MR. Replica exchange and expanded ensemble simulations as Gibbs multistate: Simple improvements for enhanced mixing. J. Chem. Phys., 135:194110, 2011. DOI:10.1063/1.3660669\n", - " \n" - ] - }, - { - "data": { - "text/plain": [ - "{'debug': {'sampler': }}" - ] - }, - "execution_count": 29, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# solvent dry-run\n", "solvent_unit = list(solvent_dag.protocol_units)[0]\n", @@ -1583,7 +1153,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": null, "id": "12d35b4c-b737-4c3c-9fda-dc387aaa6915", "metadata": {}, "outputs": [], @@ -1683,18 +1253,10 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": null, "id": "059068d3-d9e2-4923-80ca-c2989a559d1f", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fetching /home/richard/miniconda3/envs/openfe_stable/lib/python3.11/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" - ] - } - ], + "outputs": [], "source": [ "# Results from our cli tutorial\n", "locale.getpreferredencoding = lambda: \"UTF-8\" # hack for google colab, not needed for local execution\n", @@ -1713,28 +1275,10 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": null, "id": "ab9f2cca-8458-4515-a64a-20370151e1a5", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "ligand\tDG(MLE) (kcal/mol)\tuncertainty (kcal/mol)\n", - "lig_ejm_31\t-0.09\t0.05\n", - "lig_ejm_42\t0.7\t0.1\n", - "lig_ejm_46\t-0.98\t0.05\n", - "lig_ejm_47\t-0.1\t0.1\n", - "lig_ejm_48\t0.53\t0.09\n", - "lig_ejm_50\t0.91\t0.06\n", - "lig_ejm_43\t2.0\t0.2\n", - "lig_jmc_23\t-0.68\t0.09\n", - "lig_jmc_27\t-1.1\t0.1\n", - "lig_jmc_28\t-1.25\t0.08\n" - ] - } - ], + "outputs": [], "source": [ "!openfe gather results/ --report dg -o final_results.tsv\n", "!cat final_results.tsv" @@ -1869,7 +1413,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.14" + "version": "3.12.4" } }, "nbformat": 4,