{ "cells": [ { "cell_type": "markdown", "id": "fc75fe72", "metadata": {}, "source": [ "## Constrained geometry optimizations with the AMSWorker\n", "\n", "The `AMSWorker` class allows geometry optimization of multiple molecules without the overhead of AMS start-up for each molecule.\n", "Here we want to optimize the geometries of three different molecules, with benzene as the common substructure,\n", "but wit different substituents." ] }, { "cell_type": "code", "execution_count": 1, "id": "5362ea7d", "metadata": {}, "outputs": [], "source": [ "import os\n", "from scm.plams import Molecule, plot_image_grid, view\n", "\n", "path = os.path.join(os.environ[\"AMSRESOURCES\"], \"Molecules\", \"TestMols\", \"PLAMS\")\n", "filenames = [\"tbut_benzene.in\", \"o_di_tbut_benzene.in\", \"tri_tbut_benzene.in\"]\n", "molecules = [Molecule(os.path.join(path, fn)) for fn in filenames]" ] }, { "cell_type": "markdown", "id": "c9945ce6", "metadata": {}, "source": [ "The structures are unoptimized, as the crowded geometry of the third structure demonstrates." ] }, { "cell_type": "code", "execution_count": 2, "id": "a55949cd", "metadata": {}, "outputs": [ { "data": { "image/png": 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r5ef6+no++OADpk6dqtyBKSwsxOVysWPHDuV1TU1NvP/++4dt61gKf3/bokWLup3V2rRpExs3bmTGjBkApKamMnnyZJ5//nmampoOef83y0kcLa/Xy6WXXkpWVpZSMuPbrrrqKmKxGI8++ughz0Wj0eP6zFdddRXr16/ns88+O+Q5p9NJNBpVfq6srKSysvKY2xCEM4lGo2Hq1Kl88MEH3bastbS08N///pcJEyZgtVqPeJ2u8eTpp5/u9vjxZsT9tu8bc0GMuyDGXUE4FY40NvWErgDt+9p49tlnlb/Lssyzzz6LTqfjggsuAA7efNRoNIecef/HP/5xyLVO9DNFo1Gef/555edwOMzzzz9PSkqKkgvhqquu4sCBA/z73/8+5P2BQACfz3fM7T7yyCN89tlnvPXWW4fdBj5ixAgKCwv5y1/+gtfrPeT54xl3L7vsMjQaDY888sghq6myLONwOJSf29vbKS8vP2y5IOH4iRXbHtD1D/N///d/ueaaa9DpdFx88cUADBo0iGnTpnUrOwEH/8F1ueaaa3jwwQe59NJLuffee/H7/fzzn/+kb9++3SZnXW0tX76cv/3tb2RmZlJQUHDU5Tfg4Ha2CRMmcOeddxIKhXjyySdJSkrqtm3sueeeY8KECQwePJgf//jH9OnTh5aWFtavX09DQwPbt28/pu/nkUceYffu3fzmN7/hgw8+6PZcYWEhY8eOZdKkSdxxxx388Y9/ZNu2bUydOhWdTkdFRQXvvvsuTz31FFdcccUxtfvAAw/w4YcfctFFFylp0X0+Hzt37mTBggXU1NQo6fi7BvtTcf5EEH5Ifv/737Ns2TImTJjAXXfdhVar5fnnnycUCvHnP//5qK5RWlrKtddeyz/+8Q9cLhfjxo3j888/77G6o9815nZNwMS4K8ZdQTgVvm8+2FNMJhMDBw7knXfeoW/fvtjtdgYNGqSUMjMajSxZsoS5c+cyevRoPv30UxYvXsyvf/1rZceKzWbjyiuv5JlnnkGlUlFYWMjHH3982DPwXZ/p3nvvZdq0aWg0Gq655pqj7m9mZiaPP/44NTU19O3bl3feeYdt27bxwgsvKGdOb7zxRubPn8+8efNYuXIl48ePJxaLUV5ezvz58/nss88YOXLkUbe5c+dOHn30Uc4991xaW1t54403uj1/ww03oFarefHFF5kxYwYlJSXccsstZGVlceDAAVauXInVauWjjz466jbh4Nj6+9//nl/96lfU1NRwySWXEB8fT3V1Ne+//z633347999/P3Dw5sMjjzzCypUru9XuFk7QyU/EfGZ69NFH5aysLFmtViupugH57rvvlt944w25uLhYNhgM8rBhww5Jry7Lsrx06VJ50KBBsl6vl/v16ye/8cYbhy07UV5eLp977rmyyWSSgaMuQdHVnyeeeEL+61//Kufk5MgGg0GeOHGivH379kNeX1lZKd90001yenq6rNPp5KysLPmiiy6SFyxYoLymKy355s2bu73322nku9LPH+7Pt/v/wgsvyCNGjJBNJpMcHx8vDx48WP7FL34hNzY2Kq/Jy8uTZ82adUifv10mQpZl2ePxyL/61a/koqIiWa/Xy8nJyfK4cePkv/zlL0qa+a5rfrv0x3eVnXj33XcP+91+Mz2+IJzOvv76a3natGlyXFycbDab5fPOO09et27dMV0jEAjI9957r5yUlCRbLBb54osvluvr63uk3I8sH37MlWVZjLti3BWEU+r75oOH8+0x8WisW7dOHjFihKzX67u9f+7cubLFYpErKyvlqVOnymazWU5LS5MfeughORaLdbtGW1ubfPnll8tms1lOTEyU77jjDnnXrl2H/LuKRqPyT37yEzklJUVWqVTHVPpn0qRJcklJifzVV1/JY8eOlY1Go5yXlyc/++yzh7w2HA7Ljz/+uFxSUiIbDAY5MTFRHjFihPzII4/ILper2/d1uO8yLy9PGdu6xo3v+vNNW7dulS+77DI5KSlJNhgMcl5ennzVVVfJn3/+ufKart8LXeWSunzX76/33ntPnjBhgmyxWGSLxSL3799fvvvuu+W9e/cecs1v/m76rnI/Rzv2CrKskmVx8lgQBEEQBEEQBEE4fYkztoIgCIIgCIIgCMJpTZyxPc3FYrEjHnCPi4s77hTjgiAI39Tc3Py9z5tMJmw223Fd2+v1HjaJxzelpKR8Z+mDk0WMu4Ig9LTTaVzp6OggHA5/5/MajeY7a9IKQm8SW5FPczU1NUcs+v3QQw/x8MMPn5wOCYJwRjtSKYa5c+fyyiuvHNe1H3744W4Jng6nurpaKRFxqohxVxCEnnY6jSuTJ0/myy+//M7n8/LyRFI44ZQQK7anufT0dJYtW/a9r+mqkSgIgnCijjTeZGZmHve1b7rpJiZMmPC9r0lPTz/u6/cUMe4KgtDTTqdx5a9//SudnZ3f+XxP1cUWhGMlVmwFQRAEQRAEQRCE05pIHiUIgiAIgiAIgiCc1kRgKwiCIAiCIAiCIJzWRGArCIIgCIIgCIIgnNZEYCsIgiAIgiAIgiCc1kRgKwiCIAiCIAiCIJzWRGArCIIgCIIgCIIgnNZEYCsIgiAIgiAIgiCc1kRgKwiCIAiCIAiCIJzWRGArCIIgCIIgCIIgnNZEYCsIgiAIgiAIgiCc1kRgK3ynWCxGMBgkEomc6q4IgiAIgiAIgiB8J+2p7oDwwyNJEuXl5TgcDvLz81Gr1YRCIdLT0zGbzae6e4IgCIIgCIIgCN2IwFY4xPr166murmby5MlkZWUBIMsyNTU1ZGZmYjQae7Q9n89HW1sbKpWK+Ph4bDYbGo2mR9sQBEEQBEEQBOHMJbYiC904nU7ee+89NBoNOp0OAJVKhVqtJjc3l+bm5h5rS5Zltm/fztKlS5EkiczMTPR6PQ0NDQSDwR5rRxAEQRAEQRCEM5sIbIVu9u/fT11dHR0dHbS0tBAOh5FlGVmWicViOBwOYrFYj7RVWVnJggULMJlMJCcno9VqsVgs5OTk0N7ejiRJPdKOIAiCIAiCIAhnNrEVWegmGAzS2NhIZWUldrsdWZbJyMhArVbT2dmJ3+8nGAxisVhOqB1ZllmwYAEul4tgMEgoFCI+Ph6VSgWA2WymoqICtVpNSkoKCQkJPfDpBEEQBEEQBEE4E4nA9izk9XrZv38/KpUKk8mEzWYjOTkZjUZDQUEBsiyzY8cO1Go1LpeL1NRU9Ho9LpcLs9nM3r17sVgsFBQUoNfrletGo1EaGxvx+XzKKmxcXNwh7cuyTEdHB9u3bwegsbGR2tpaTCYTZrOZSCSCSqWiuLgYlUqF0+mkubmZ9PT0k/YdCYJwdunalaJWq1GrxWYmQRAEQTjdiMD2LNPW1saKFSsYNmwYffr0QaPREAgEaGxsJDMzk4yMDK644gr+9a9/EQgEaG5uVrYJOxwOBgwYgNlsJhQK0djYSL9+/UhPT8fr9fLee+/R1NSEXq8nNTWV/Px8+vTpQ3Z2NnAw23JraysbNmygrKyM2tpaJEkiNTUVg8GA3+8nJSWFUChEbm6usnqbkJBAe3s74XC4WyAtCILQE1wuF+Xl5SQmJqLT6TAYDGRkZChjkCAIgiAIP3wisD2LRCIR5s+fT2pqKna7HY1Go6zapqWl0dTURHZ2NvPmzSMWizF//ny2bNmC2Wymb9++aLVa3nvvPSoqKhg8eDBZWVls2bIFjUbD+vXrqaqqwm63k5SUhCRJ1NfXs3v3bqZMmUI0GmX9+vXs3r0bv99PJBJBr9dTXV3Ntm3bCIfDtLe3ExcXR0JCAlarFZvNpqycWCwWHA4HGRkZp/hbFAThTOL3+1m4cCGjRo2iqKgIlUqFz+ejvr6e3Nzc475uIBCgpqYGAJ1OR3Z2do9nlBcEQRAE4f8Rge1ZpLGxka+++orJkyfj8/mw2+3Kc2q1mra2NjIyMrBYLNx///1cffXV1NbWEhcXR1FREXq9ns8++4xnnnmG3bt3M3ToUAoLC0lMTMThcGA0GklMTCQrKwu73U4kEqGxsZF//etfylnaSCSC1+ulo6MDl8tFSkoKtbW1uN1uampqMJvNDBs2DLvdjlarJTk5GVmWaWtrIxKJnMJvTxCEM1FZWRnV1dWMHDlSecxisVBTU0M0GkWrPfZfk16vl0WLFlFaWsqAAQNQqVTU1dWRlpaGyWTqye4LgiAIgvD/E4HtWcThcNDY2Eh9fT379+9XAlE4uBWvs7OTaDSKRqNBrVaTl5dHXl5et2vMmTOHCRMm8Morr/Df//6X8vJyioqKcDqd2Gw29Ho9FosFm82GJEn4/X527NhBW1sbXq+Xzs5OACZOnMh1111Hfn4+8+fP58svv+TAgQN4vV4MBgMajQaPx0NqaioajYaOjg5GjRp10r8zQRDOLLIsd9ti3NDQQGVlJbt378Zms5GUlEQoFMLj8eD3+7FarYe9Tld2+MPV3F66dCkNDQ2MGTMGtVqNSqUiOzubffv2ERcXR3JyMmazuXc+oCAIgiCcpURgexZJSkrC4/Gwe/dujEYjPp+P1NRUdDodTqeTjo6Oo0qakpSUxM9//nMuuugifvrTn/LVV18pKxGBQACv14vJZEKlUhGLxdDpdFRUVGC327n66qu58sorKSwsVCaE9913H3fffTcbN25k3rx57Nixg0AgQEtLC0lJSahUKjIzM0lOTu7tr0gQhDNUKBSiqqqKWCym5AFISEggPz+fmpoaVq1ahdvtJj09nWg0itvtRq/Xo9frKS4uVrYRB4NBtm/fTiwWw263Y7FYyMrKQq1WI8sybrebDRs2EAwGqa6uVpLo+f1+ioqK0Gq1NDQ0kJSUdMLZ5QVBEARB+H9EYHsWycrKYty4cSxZsoRwOExrayvJycnodDrcbjeTJk1Cp9Md1bVUKhV5eXkYjUai0SjBYBCfz0dnZyc6nY5AIIBarcbj8RAXF8eoUaP43e9+R0FBwSEJWVQqFXq9nnHjxvGLX/yCp556im3btlFdXU1CQgLnnnsuc+bMOeq+CYIgfFMkEuHTTz+lqKiIAQMGKOXL2tvbGTRoENOmTeP9999XAtGu7MjRaJScnBwaGxvJy8sjFovx/vvv09nZidVqJTU1ldGjRxOLxYiLi2PNmjWUlZVRVlaGz+cjKSmJQCBAcnIyNptN2Zack5PDvn376Nu3r0hQJQiCIAg9RAS2ZxGtVsvPf/5zWlpa2LhxIzU1NdhsNoxGI+effz5jxow5put1lcUIBAL4fD70er0yGXS5XGg0GsLhsLKdz263f+8kTqPRcOONN5KTk8O8efPIzc1l1KhRzJ07l6SkpBP9+IIgnKX27t3Lnj17GDx4sLI1ODExkb1795KQkMADDzzA0KFD2bBhA1arlfPOO48dO3awYMECsrKyGDJkCG1tbWzfvh2n00l+fj4ZGRnEYjE++eQTzGYzdXV1eDwe3G43nZ2dtLW1sWzZMurr60lKSmLs2LGkpaWRmJhILBbD5/MhSdJhtzILgiCcKSRJwuVyoVKpMJvNorqF0KtEYHuWyczM5Mknn+Smm25SVhSmTZvGjTfeeMyDjU6nY/DgwXz11Vd4PB7UajWSJBEOhzEajcrWvHA4TL9+/Y5q213X2V6DwUB2djapqalIknS8H1cQBIH9+/dTX19PZWUlSUlJxMXFEQqFcDgc5OXlYTKZmDNnDrNnz1Zuvo0ePZqpU6fywgsvsHDhQvLz85Ekifj4eBISEsjIyFC2Hq9evRqPx4PT6SQhIYFrr72WAQMG8M4777Bv3z7KysrQaDRIkkRubi6xWIympiaGDh16ir8ZQRCE3hOJRFixYgWZmZkUFBTQ0tKCzWb7ztwFRxIMBolGoxgMBrGLTzgsEdieheLi4rBYLGRmZlJUVEROTs5x3UFTqVRccsklLFq0iM7OTmRZVrYldyWA6jJlypSjHoS6Vn4DgQCBQEBkQxYE4YSkp6dTXl7OmjVr8Hq9pKenEwwGaWho6JYN+Zs7SlQqFfn5+Tz66KOsWrWK++67j/T0dPR6vRLEduUkcLlcGI1GfvWrX3H++eeTkJCASqVi0qRJNDY2ctddd7FixQqam5vJzMxEpVIxc+ZMsVorCMIZbdOmTZSXl1NaWorFYsFisdDY2IjZbD6mjPOyLLN161acTicDBgzA6XRisViUBKiC0OXImYKEM1JXEBoOh5Fl+bivM3ToUO6++25MJpNyxtbhcOBwOGhvb8fpdHL++eczfvz4o75mV1AcDAbx+/3iDJogCCdk6NChDBo0iGXLlrFo0SLee+89PvjgA5KTkzEYDN/7Xo1GQ05ODgA+n4+Ojg7q6+vZu3cv+/bto6Wlhfz8fO655x4uv/xyEhMTlTFLp9ORl5fHX//6VwoLC1m/fj1bt25l+PDhIsu7IAhnvC1bttDQ0EBdXZ1S8jEQCBAMBg95bTAYJBAIKBnnv6mpqYlFixaRkpJCWloaWVlZhEIhmpqaCAQCJ+OjCKcJsWJ7FotEIoTD4RPa6qtWq7nllltIS0vjmWeeoaamBr1eTygUIisri7lz53LFFVcc04qwwWBAq9UqCamcTudx908QBMFkMvHwww/z0EMPsW7dOmVsmjJlylG9PyEhAZvNRkdHh7Kl2OVyodVqicVihEIhEhISvvP9/fv355ZbbqG1tZUpU6Z0ywovCIJwJnA6nTQ2NqLX67Hb7SQmJpKRkcGiRYtISEigpaWFuLg42tvbyc7OJjMzk8zMTNRqNRs3bsTn85GRkYFOpyM3N1fJRB8IBPjiiy+ora2loaGBgoICTCYTZrMZk8lER0cHkUjkuLc3C2cWEdiexbpWbI9lO8jh6HQ65syZQzAY5KmnnmLgwIHExcXxm9/8RinXcyz0ej1Go5FgMEgwGCQcDp9Q/wRBEOx2O4MGDcLlcjF06FBGjBhx1McjkpKSuPjii/nnP/+JLMuEQiHMZjM6nQ5JksjPz2fQoEHfe43ExEQikQherxefz9cTH0kQBOEHobm5mZUrV3LhhRcqpSVbWlqYMmUKn3zyCR9//DHbt2/HarXi9/uZOHEiTqeT/fv3o9PpeP3114mLi1PyF4wePZrs7Gw2b97M1q1b2bt3L2VlZaxevZpoNEpycjI5OTnEx8eTmppKZWUlFotF3DAURGB7NotEIoRCoR7LUOfz+dBoNKjVamw22xGzIB+OJElUV1crfQsGg2zatAm9Xs/gwYNFNj1BEI6bVqslHA4TDAYPu93tu6hUKm6//XYOHDjAxx9/rOQR0Ol0FBQU8JOf/OSIqwUJCQlEIhE8Hg8ul+tEP4ogCMIPgizLLFq0CK1Wi06nQ6VSYbVaaWtrIyUlhSeffJLVq1fT2dnJkCFDaG9v56WXXmLt2rWUlpYqiyxJSUkUFBQQDoeZP38+brcbp9OJ2+2mo6MDvV7PsmXLqKqqIjs7mxkzZmC1WjEYDEiSRDQaFYGtIALbs000GmX37t243W4MBgPhcJjGxkbcbvcJb+Nwu93K6u+Rzq19V9/mz5/Phx9+SEZGBna7naSkJPx+P0uWLGHv3r2MHz+e9PT047q+IAhnN7PZrCS4O1Y2m40//elPZGVlsXjxYhISEpgyZQqXXXYZGRkZR3x/1/jatWIry7LIHyAIwhmhoaGBUCjErl27GDhwIAAtLS1kZ2djs9m46KKLur1+1KhRLFq0iLfffhutVovdbkev1xMfH48sy8RiMb7++mvltQ8++CAFBQUsX76cL7/8krVr16LT6Whvb8dms+H1eunTp89J/9zCD48IbM8S0WiUjo4O3nrrLbZu3Upqaio2mw2bzcbu3btpbGxk9uzZFBcXH9f1u8pedAW2JpPpmN//8ccf89JLLylbSzIzM8nKysJqtRIIBKitrVUy4HWV7BAEQThaKpWKUChEOBw+rqDSaDSSkpKC1WolJSWFiy+++KiCWjgY0KpUKrxeL9XV1Xz99dcMHjwYrVarZFcWBEE43ahUKkpLS3n66adRqVTs3bsXnU6H0Whk7Nixh31PfHw8119/PWvXrmXr1q1otVpaWlqUUpEAhYWFPPLII+Tm5iqP3XDDDUyfPp1f/epXfPbZZ+zatYuioiLmzZt3wsfqhDOD+H/BWaClpYV169axc+dOtmzZQmpqKvn5+WRkZBAXF0cgEKC1tZWFCxdy7bXXkpube8xtqFQqpZYtHAxsj2Xi6HQ6eemllwiFQsTHx6NWqzEajVitVpKSkgiFQgQCATZt2kRpaSnNzc306dNHTAgFQTgiWZZpamqivLycSCSCz+djx44dJCcnH/NOFY/Hg0ajQaPRHFVtboCNGzfy73//m+zsbDIyMpAkiaVLl7Jnzx6GDRtGfHw8mZmZYmImCMJpadasWezZs4d3332Xr7/+mpEjR3Lfffd97xxNpVIRFxeH2+3G4XCgVqvxeDxotVoCgQCFhYXk5OQcco3k5GSeeOIJ5s6di91u59JLL6Vv3769/RGF04SICs5wPp+PBQsW0NHRwYoVK9BoNOj1euLi4khKSiItLY309HTsdjtut5tly5YRjUaPuR1ZlpUBSZblYw5sy8vLqaysJBaLEY1GiUQiSrmfQCCglCXy+/3s37+f+Ph4/H7/MfdTEISzi8/nY+XKlfz+97+nubmZc845h7y8PMrKyvjPf/5DU1PTUV/rmztT9Hr9UQWizc3N/PWvf6Wzs5PMzEzy8/Pp378/+fn51NbW0tHRQUZGBo2NjSdUek0QBOFUMZlMzJ07l/T0dMaPH8/NN99Menr6976nq543QFtbG42NjdTU1FBbW0tbWxvDhg37zjOz8fHx2O124uPj8Xg8Pf55hNOXCGzPcDt27KC+vp4tW7Yo9cG+GTxGo1EkSUKlUqFWq9m9ezcOh+OY25EkCb/frwxCx1o0u6GhQQlgu8r8dHZ20tTURH19PY2NjXR0dBAIBKivr6elpeWYkr8IgnD2CYVCfPzxx/znP/+ho6OD5ORkiouLGThwIHl5eXg8Hj766CMikchRX9Pr9aJWq9FqtUd1827VqlXU1tYiSRKyLKNWq9HpdJhMJgwGAxs2bECSJEwmk6jHKAjCaUulUqHRaNBqtUe9+2TixIncddddwMHdhQcOHKC9vZ2JEycyderU73yfRqMhPj4er9crFjmEbsS+pzPc/v37aW5uprGxUVkF7QoaDQaDEuw6nU4CgQA+n4/29nbS0tKOqZ1oNKoEtiqVivj4+GN6bzQaJRaL4fP5MBgMuN1u1Go1kUiEzs5OVCqV0r+mpibMZjP9+/c/1q9DEISzSFlZGatWraKmpoasrCwlsNRoNOh0OrRaLRUVFTQ2NpKXl3fE66lUKmWc68oA+n1kWaa2tpZAIIDf78flctHU1IQkSUiShNvtxuv10t7erox5ZrO5pz6+IAjCSRWLxQgEAkcd2Op0Ou666y5sNhuvvPIKubm53H777ZxzzjlHHF/j4+Npbm4mEomIZHyCQgS2Z7iUlBSqq6sJhUL4/X5lcqXVaolEIsrqrN/vx+v1EgwGqa2tpU+fPseUACoWixEKhY4pW3FXaZ/33nuPrVu3kpSUhMPhUNLFS5KkXFOtVhMfH09xcTGRSITU1FRR+kcQhO914MAB9u7di9/vx+fz0dHRQX19PR6Ph2AwqJTe6ezsPKrAVpIkJZfA0axKtLe309LSgt/vx+12o9frkWVZuVnXdUNv9erVRCIRrrzyyp766IIgCCeVJEnEYjGCweAxBZkajYa4uDjMZjPp6ekMHz78iEFtTU0Nra2tBINBysvLWbx4MSNHjsRms4mbg2c5Edie4UaNGoXdbqempoZBgwbh9XpxuVzIskwgEFCCxmg0qtS0/fzzz9m2bRvnnnsuQ4cOParV164SGl0DyvdlLJZlmcbGRhYuXMjmzZuRJAmtVktSUhJtbW14PB5kWVauqdPpiMViaLVa4uLiKCoqwuFw0NzcTFpamrhLJwjCYfXp00c5f+XxeGhubiYcDmOxWJAkiUAgQDAYZNmyZUiSRElJyffenOuatOl0OnQ63Xee//J4PCxdupTly5fjdDrRarV0dnYCEA6H6ezsRK1Wk5OTQ58+fSgvL+fKK6/EaDT2/JcgCILQS2KxGO3t7dTX1/P+++9jsViIxWJ88MEHzJkz56huGMLBcpFdSfmOdMOwqqqKRx99lEgkwpAhQ8jIyKCmpgaPx8PkyZNxOp1kZmb2xMcTTkMisD3DJSQkcN1117Fr1y5KSkpobm7mrbfewuFwEAgE0Ov1qNVqJdDtOnsbCARYuHAhn3/+OcOHD2fs2LEkJSV9ZxAZi8UIh8NoNBokSfrObKGtra18/PHHygqFWq3G7/fjcDiwWq2Ulpayfft23G43oVAIo9GITqcjGAwqKyuBQACVSsXWrVvJycmhuLiYQCCA1+vFaDRis9mOeLdPEIQzX3Z2NtOnTyc1NZWysjK2b9+O3+/HaDQqK6aRSIQ9e/bQ1NSkJD4ZNmzYYe/6RyIRwuEwBoMBm812SLZOr9fLl19+ydKlS+no6CAcDtPR0UFOTg5VVVW0tbUpNxSDwSBVVVVIksTIkSNpa2tTgmBJktDr9SLQFQThBysSibBs2TLUajVvvvkmJpOJiRMnkpaWhsvlUiptHCmJVFfyUZ1Oh9ls/s4bhnBwVfg///kPdXV15OXlYbfbyc3NVcbx5uZmkpKSCIfDYlffWUoEtmewUCjEsmXLCIfDTJo0CYfDQUNDAz6fj3A4jN/vVwJbSZIoLi4mFAqxY8cObDYbWVlZpKSksGLFCjZu3EhpaSljx44lIyOj24ROlmU6OjoAUKvVqFSqQyZknZ2dfPbZZyxfvpxAIIBGoyEYDOJwODAYDFx//fVcfvnlSJLEyy+/zOLFi2lrayMWi2G327nsssuYPHkyf/vb31i+fDlut5vRo0ej0WjYtWsXcXFxDB06FKPRSF1dHRaL5YiDqSAIZyZZlmlubmbNmjWMHTuWjo4OQqEQbW1teL1eZVXWZrNRUFDA9u3bMZvN5OTkcODAAb744guGDRvGmDFjSExMRKVSIcsyra2twMFxTq/XE4vF0Gg0BAIB1q9fz+LFi2ltbSUSidDR0YHFYuFHP/oRF154IcuWLWP+/Pk0NDQQFxfHBRdcQGFhIa+88goej4cLL7wQp9NJQkICAwcOxOfzEY1Gyc7OFrtSBEH4wSkrK6OsrIzGxkZaW1spKioiISGB9PR0jEYje/bsYfXq1VxxxRVHHMO6yqgd6Tib1+tl69atSqLRrlJBcHDOW15ezujRo4lEIiKwPUupZFFf4IwQCoWora0lEomg0Wiw2WysXbuWxMRE7HY7tbW1bNiwgfj4eHbt2sWOHTsIhUJotVoSExOZMWMGd955J/Hx8WzevJlXXnmFDRs2YDKZyMzMJC0tDYvFgtFopLi4mHPPPZeCggL8fr+ypdjv9ys1aPv06cOMGTNIT09n5cqVfPLJJ7hcLmX1tWsguuiii7jmmmtIT09XBj5ZlnE6nTQ3NyPLMunp6SQkJCg1zv7973/z4osvUlBQQGZmJkVFRZx//vkMGTJEGci6zhF/35ZoQRDODLFYjH379iklxwCamprIzMykoqKCrVu3Mn78eFauXElZWRkqlYqSkhJuuukmBg4cSE1NDW+//TafffYZsiyTm5tLcnIyiYmJDB06lFGjRrF69WrWrFmDWq0mLi4OrVbLkCFDyMzM5OOPP+bAgQNEo1E6OjrQ6XRccsklXHrppdjtdqWfgUAAj8eDXq/HarWiUqnYu3cvDz/8MC6Xi3PPPZcrrriCoqIiAOUscGpq6in5XgVBEL7Lxx9/zIcffkhFRQWSJJGfn0/fvn3JyMhQKljY7Xbuv//+761nC/DrX/+ampoaxo4dyz333HPYQFiWZaqqqvjRj35EZ2cnGRkZZGRkkJKSgkajwe/3Y7fbGTp0KLNmzRI7985SIrA9AzgcDlauXKmUsNDr9TgcDjo7O9HpdJSVlbF+/XqmTp3KpEmTCIfDVFVVUV9fj9FopLCwkKysrG4DTzQapaysjNdee43ly5ejVqtJT08nPT2d+Ph4DAYDWVlZ1NTUUFdXh91uJzU1lcTERPR6PX6/XzlL1traqgS0nZ2dhMNhLrjgAm666SZyc3OPeTVCkiTWr1/P//3f/xGNRpk1axaTJ0+mtLRUSc4CB89hFBYW9uh3LQjCD4ssy6xevZpYLMbYsWMxGAxEIhGamppYt24ddXV13HjjjWRmZiJJEj6fDwCLxXLIzpPm5mYWLlzIwoUL8fv9ZGdnk5KSQiAQwOFwkJWVRUFBAenp6YTDYRobG6mvr8fv99PZ2YkkScyYMYNrrrnmmDLLO51O7rrrLoqLi7n00ksZPHiwspNm9+7dDBo0SKzaCoLwg1JZWcm8efNob2/HZDJhs9lIT0/HZrMpNb/j4+OZNWsWo0ePxmazfWfA+tOf/pSOjg7OO+88br311m6v69oVuHjxYtasWUNtbS0VFRUkJiaSmJhIfHw8Wq2W/Px80tPTmTx5MsOHDxdj5llKbEU+zYXDYd577z2ys7PJzs7GbDajUqlIS0vDbDbz5ZdfsnXrVm644QZKSkpQqVSYTCZKSkooKSn5zutqtVqGDh3KE088QXV1Ne+88w4ffPABDQ0NpKenk5GRQV1dHS0tLaSmpmI2m7Hb7Uof3G43DQ0NRKNRZcIYDAYZPXo0t956K3379j3iHbzvolarGT9+PPfeey+PPfYYHR0dtLS00NnZSUpKipJRORwOixTwgnCG83q9LF++nIsuukjJqN5VykeWZe655x7lzH9XdvXDUalUZGRkcPfdd3PttdeyZMkS3nnnHTZv3qzc2NPr9dhsNtLS0ohGo/h8PlpbW6mvr2fixInccMMNx3Wzzmq1kpCQQEVFBTt27MBsNpOSkoLX61WSXwmCIPyQ5Ofnc+2111JeXk5mZiYffPABdXV1mM1m1Gq1kk/g/fffZ926dQwdOpSxY8eSlpbWbf7XlchPrVYfcozN6XTy+eefs3z5cjwej5JLJT8/n5qaGoLBIE6nE0mSlHG4rq4Ok8lEbm4uXq8Xs9lMXFzccc85hdOLCGxPc9XV1ZSVlZGTk3PIP1qj0UggEGDevHnHfd5UrVZTWFjIr371K2655Rbef/993nnnHb766itlG3NXbUi9Xo/JZFImjl1blzs7O+nXrx8333wzQ4cO/d7EAMciLi4Ot9tNTU2NElwXFhYqRbtdLlePtCMIwg+X2+2mrq6O2tpaCgoKSExMVGpiDx069DsT2X0fu93Oddddx5w5c5g/fz5PPvkkoVCIQCCA2+1WVmdDoRAajYZ58+Yxe/bsE7pZN3HiRP785z9jNBrp6OggNTWVUCjEmDFjxM05QRB+ELpKlGk0Gnbu3El8fDznnXceGzduxOv1KjkM4uLimDFjBl6vl9WrV1NdXU1jYyNbtmyhf//+TJo0SaktXlZWRiQSQafTKQn6IpGIkoivvb0dv99PJBLhwgsv5JprrkGWZd5//322bNlCfHw8U6ZMQa1W8/e//x23243H42H37t2MHz8etVpNbW0tubm5PTb/FH64RGB7mmtubqalpYXm5maam5vJy8tTViq8Xi/Jycndzngdr67VjDvvvJNrr72WN998k2effVbJKhoMBg8pJdS1Yjpz5kzmzZvX4wf5BwwYQHJyMnv27EGv1xMKhWhqaiI+Ph6/30/fvn3FhFAQznA2m41QKMS6deuQJInc3FwkSaKqqooJEyac0LUtFgvDhg1TAuWOjg7q6urw+XyoVCpcLhder/ewGZKP1Zw5c6ioqGDx4sXU1NSQlZXF5ZdfTt++fU/ouoIgCD2hpqaGyspK+vTpQyAQIBQKkZOTw6pVq7jwwguZNm0aX3/9NRqNhhEjRjBs2DDUajV1dXXMnz+fTz/9lKqqKhoaGtixYwf9+vUjEAiwefNmkpKSSE5OprGxkZdeeonq6mqampqUkmzjxo3j+uuv77Yj5s4771SOnnWNvyUlJfz+979n4cKFzJ07l4SEBEwmEzqdjtbWVjIyMk7Z9yecHCKwPc0lJCTQ3NzM3r17iYuLw+/3k5iYSDQapbm5GYfD0aN3qFQqFYmJiYwePZpnnnmm2ypGW1sbsixjsViIRCI4nU78fj9arfaIdcmOR0ZGBj/72c94+OGH2bJlC+3t7WRkZGAymRgyZMj3brUWBOHMEBcXxw033MDjjz/OgQMHyMzMRKVSMWDAAHJyck74+jk5OaSmptLa2qrU/O6qQxuNRgEoKCg44XbMZjO//vWvuf7662lvbycrK4vMzEyxfU4QhFPO6XTy/vvvM3v2bPLz8wFoa2tjwYIFXHXVVcpjY8eOPeS9+fn5PPDAA9x00018/PHHvPfee9TU1FBVVYXT6SQnJ4e0tDSKi4uRJIl9+/bR1NSEw+GgtLSUuXPnUlxcfMhYqFKpDlm8yM3N5cEHH+See+6hsbGR9vZ2MjMzlXO6IrA984nA9jRXXFxMbm4umzdvJhwO09zcrGwPbm1tZdy4cb2y9SIpKQmj0YjP58NgMCiBa9eZClmWCYVCeDyeHlnNOByVSsWll15KWloa77zzDg0NDWg0GiZPnszMmTNFDUhBOEvMmDGDtLQ0Pv30U4LBIGPHjmXKlCk9ckPNbrczd+5cHnvsMdra2giFQphMJjQaDbIsM2vWrB4JoOFgboPCwkKR9E4QhB+UyspKGhoa8Hq9SJKEWq1Go9EwZcoUJaj9PiqVivT0dH70ox9x5ZVXsmzZMp5++mkkSSIajSJJEiqVCq1Wi06nIysri/vvv5+SkpJjHse75sAbNmzAbDbTr18/IpEICQkJx/fhhdOKCGxPc113+R944AFWrVrFvn37lDISo0aNYvjw4b3SbnZ2NiNGjODzzz9XBp1oNKrUxoWDJTjUajUjRozolT7Awe0nEyZMYOzYsUp7vbE6LAjCD5darWbkyJGMGDFCOfPfU1QqFddeey2RSIQXXngBh8OBXq8nMTGRiy++mDvuuEOc2xIE4YxmMBjYv38/a9euRZIkbDYbtbW15OXlHdN1VCoVNpuNyy+/nC+++IJ169bhcrk4cOCAEti2t7ej1+vp37//cc3nEhMTuf322/nLX/6Cw+EgNzeXoUOHcvPNNx/ztYTTj4gAzgD9+/fnxRdfZMmSJezevZv4+HgmTJjAuHHjeq1AtV6v584772T79u20t7cTi8UIh8MYDAb0er2Smfiyyy6juLi4V/rwTRqNRkwuBeEsd7itaT1Br9dz6623YjQaeeONN0hLS+POO+/knHPOEeOOIAhnvOLiYoqLi/nwww+prKzEarWSlpZ22K3HR0OlUjFs2DCWLl2Kw+FApVLhdrvR6/UEAgGGDx9+3HVoVSoVl1xyCQMHDmTXrl1kZWVRWlqKyWQ6rusJpxdRx/YMczLL28iyzIoVK3jssceorKxEo9Gg1+vRaDTEx8dz6aWXdiu1IQiCcDp77bXXePfdd8nIyOB///d/j3m1QhAE4XTldrv5+OOP2b9/P/369WP69OnYbLbjvl5LSwvz5s1j165d2Gw2LBYLWq2WhIQEHn30UQYOHNiDvRfOFmLF9gxzMrMAq1QqLrjgAgYMGMCvf/1r9u3bR1JSEjk5Odx+++0MGjRIbAsWBOGMEQqFlFXh3toNIwiC8ENktVq57rrreux6aWlp/P3vf+eJJ55g5cqVqFQqSktLmTdvHgMGDOixdoSzi4g6hBOWmZmJ1WrFZrORkZHBqFGjGDp0qCi1IwjCGaOrjJlGoxGBrSAIQg/Iz8/n1ltvVcoIPfTQQ6SlpZ3qbgmnMVFHQOgR4XBYSdii1WpFUCsIwhnH7/cr5/lF1nVBEIQTFwgElJuFYlwVTpQIbIUTJkkSgUAAtVqNLMtiYBIE4YwUiUSUzOsiPYUgCMKJi0ajqNVqZQ4pCCdCBLbCCZMkiWAwqGzRE4GtIAhnIq/Xq9RvFBMwQRCEExcMBlGpVOh0OpGXRThhIrAVTlhXge2urchJSUmnuEeCIAg9r2vFVkzABEEQekYgEAAOJiTtyRrkwtlJ/D9IOGHRaJRQKIRarUalUhGNRk91lwRBEHpcOBzutVq5giAIZ6OuHC1d+QsE4USIwFY4YZIkIUmScj5C3HETBOFMEovFKC8vJxAIoNPpkGUZl8t1qrslCIJw2vN4PCKwFXqMiECEExaNRrutZJjN5lPdJUEQhB4RiUR46623+OMf/4jBYCAzMxO9Xs+LL77Itm3bTnX3BEEQTluyLCNJEhqNRtn1JwgnQgS2wgn75hlbSZLQ6XSnukuCIJxlotEofr+fcDjco9ddvnw5b731FhqNhvT0dIqLi+nbty8Gg4EPPviApqamHm1PEAThbBAMBlmwYAFbtmwhKSmJQCDAmjVriEQip7prwmlMBLbCCZMkiVgsJsr9CIJwSlRXV/PFF1/Q0tJCQ0MDVVVVSJJ0wteNRCLMnz+faDSKVqslLi6O5ORk0tLSSExMJBgMsnnz5h7LkCzLMoFAgFAoJLIuC4LwgyPLco+MTZIk8eKLL/L222+j1+spKioiJyeH1atXs2zZMjH+CcdNpHUUTlg4HFayhXbVeBQEQTgZ2tvb+fTTT5k1axa5ubkA+P1+6uvrycvLO6Fre71eGhoaiEajBINBPB4PTqcTg8GgrA6vXr0ai8XChAkTMBgMx91WZ2cnX375JdnZ2aSmphIIBMjLyxM3CgVBOOXC4TBff/01siwTHx9PWloaKSkpx329mpoaFi1aREJCAvHx8eTk5JCQkEBdXR2bN29m9OjRJ1xhIxaLAYhzu2cZEYEIJ6S1tZWVK1eSkJCg1HasqalRzqEJgiD0ph07dhAKhbqNNwaDgcbGRnJyco47mZ0sy7S3txMKhQgEAjidTg4cOEAkEkGv1+P1enE6nUSjUT7++GN27NjBzJkzKS4uPuY2o9Eor7zyCtnZ2RQXF2O1WpEkiZqaGvr06SPOnQmCcMrIsszSpUvR6/VMmjQJvV5PS0sLnZ2dJCYmHtO1otEoO3fu5OWXX8bhcGAymQgGg/h8PgwGA9FoFKfTyYcffsjFF19McnLyMfdXkiQ2b96My+UiPT1dCZzFosvZQfxXFo6LLMusXbuWl156iWAwSH5+PhaLBZ1Ox5IlS6ioqOCqq67CZrOd6q4KgnAGczqd1NTUsG/fPsxmMwaDgc7OTsLhMJ2dndjt9mMODNvb2/noo49YtWoVWq0Wl8uFTqdDkiTcbjc6nY5YLEYgEKCjo4Pm5mb8fj/Nzc0MHTqUWbNmHdPY19jYyObNm8nKylL6qlarMZlMBAIBkZBPEIRTJhAIsGrVKmbOnIlGo0GlUpGUlERFRcVRB7aSJLF//37ee+899uzZg9vtxu/343a7aW5uRqPREB8fj8fjoaOjg3Xr1lFTU8OkSZMYP378Me2G2bhxI6tXr+aqq64iLy+PaDRKa2srmZmZx/sVCKcREdgKx6WsrIwnnngClUpFcnIySUlJJCcnYzQaCQQC1NXVMX/+fObOnStWbgVB6DVDhw7llVdeYenSpbS0tGC1WnG73RQVFbFv3z7UajWDBw/uFhxGo1FisRh6vb5b0Ot2u1mxYgVLlizB6/Uq9RUTExOV1duuwBYgKyuLcePG0djYyPr168nKysLv97Nv3z6mTJnCOeecc8Txz+PxsGnTJtrb26mqqqKqqkpZ9W1tbcVqtfbOFycIgnCU2tra2LVrF9nZ2aSkpNDR0UFLSwspKSkkJyd/581DWZZpbGzkgw8+YNOmTYRCIbxeL+np6bhcLtra2lCpVAQCAQwGA7FYDJ1OR11dHW1tbTidTnbs2MH06dPp27fvEXfDxGIxli5diizLRKNRALRaLV6vl1gsJrYlnwVEYHsGiMViNDY20tHRgcFgwG63k5yc3Gv1ZKPRKP/5z39wOp2kpKRgMplISEggIyOD+Ph4vF4vAJWVlezevZvS0tJe6YcgCEKfPn2YN28eL7zwAnv27MFms2EwGFi7di3jx48nJSWFpUuX0r9/f1JTU/nyyy/Zs2cPKpWKlJQUJk6cSG5uLhs3bmTRokW0t7cTi8Xo7OwkJSWFBx98kMLCQl5//XVWrVpFMBjEaDTicDgIBALU19djs9m4+uqrWbduHdu2baNPnz4sWLCAzZs3M336dNRqNdFolNTUVOx2O2q1mkAgwJYtWygrKyM5OZkhQ4awfv16NBoNdXV1aLVawuEwgwYNOtVfsSAIZzGTycSECRP44IMP6OjoICMjA7/fT2lpKRUVFezdu5fhw4djNpsJBAK0t7cjSRImk4lly5axcuVKAoEAXq+X+Ph4brvtNkaMGMGLL77IJ598QktLCx6PB4PBQHZ2NrfccgsZGRm88sorbNy4EYfDQVNTE6WlpUydOhW73Q5wSDDt8XhYs2YNfr+furo6tmzZgk6nw2Aw0NzcTFFR0an4+oSTTCWL1GOntXA4zKefforFYmHQoEHYbDZlslVSUtIrZwqampq45pprkGWZlJQUsrKyKCgoID8/H5vNhs/no66ujrq6OgYMGMANN9zQa2cbYrEYbrebUCiExWLBbDaLO3KCcBZyOBzU1dWRkJBAWloaX3zxBW+//Tbp6ekMGjQISZLYtGkTXq+X1NRU4uPjkWWZcDhMLBbjwIEDSJKEy+XCYDBw1VVXcdFFFxEXFwegbEOORCIYjUa2b9/OU089RWtrKwUFBcoNRZVKxZIlSzCZTGRmZhKNRomLi8NsNmM2mxkyZAi5ubmsXbsWvV6PzWajo6ODhoYG9u/fj8vlIiMjg379+nHbbbeRkZFxir9ZQRDOdqFQiA8++ICNGzdis9nIzc1l1apVDBgwgP79+xMOh7FarXz++ef4/X4sFgvRaFQ5pqHRaJg5cybjxo3D4/GwefNmRo0ahdFoZNOmTTQ1NZGTk8O4ceP48ssv6d+/PxaLhba2Np599lm8Xi99+vQhLS2N/Px8fD4fdrudMWPGkJGRwddff822bduw2+1KzoK0tDQGDRqE1Wrl3HPPZejQoaf6axROAhHYnuaWLFlCfX09U6dOVTKCwsEzEU1NTRQWFvZ4m3v27OHKK68kPj6elJQU0tPTycnJITs7G5vNRjAYpKmpicbGRoLBIOeccw6zZs06oQx6h+Nyufj0008xm82UlJRgNpvxeDxkZ2eLM2mCINDe3s7rr7/O6tWr0el0+P1+8vPzKSwsJD09nXA4TENDA/X19TQ2NhKNRpkxYwbXXHPNUSUt8Xq9vPvuu7zyyiuYzWby8vJITEwkJSWFTZs20draSlZWlpLpWK1WK+d/k5OTlTO6paWlzJw5E4PBQG1tLVqtVmREFgThB6crZFCpVLS0tPDSSy+xe/duioqK2LFjB/Hx8eTn55Oenq4cS7PZbNxwww3dbh5OmjSJhIQEZdVVlmXl75FIhPXr1xOLxQiFQvTv35+lS5fyxhtvYLPZsNvtpKenExcXhyzL6HQ6dDodJpOJ1tZWUlNTGTp0KJs2bUKWZaZMmcLgwYNFEr6zhAhsT2OhUIhf//rXDB06lGnTppGamqr8w43FYuzYsYNBgwYp58F6yq5du7jmmmvQ6XTK2drU1FSSk5OVu3ROpxOHw0EsFsNms2GxWDjvvPMYN25cj0zWgsEgTz75JEajkcmTJzNw4EB0Op2SlTk3N1dkwBMEAUmS2LBhAw8++CBJSUn06dOHgQMHkpubSzgcprKykqqqKnQ6Hffccw95eXnHNAGSZZm6ujqeeeYZ1q1bR3Z2NmlpaZSXl6PRaMjJyaFv374UFhai1+upq6ujpqYGt9tN//79ufLKK8nMzBSTLkEQTjuSJLF161YeeeQR/H4/RUVFDB48mMLCQnw+H+Xl5SQlJREXF0e/fv1ISkqioKDgqMa7trY26urq2L59O6WlpfzpT3/C5/NRUFDAgAEDSE9Px+FwUFtbSyAQICUlhcsuu0zJUfDNIFw4e4iZ/2ksHA7T3NxMTk4O7e3tJCUlKdtwg8EggUCAaDTaY4Gt1+tl5cqVLFq0CJ1Oh8/nQ6/Xo9VqkWVZOfwvy7KSZKWpqYm0tDQyMjJYvHgxW7duZc6cOfTp0+eEzgBv376d9evXM23aNIxGI1qtVhm8srOzcblcJ1wDTRCE059arSYtLU0Zl3w+H06nE5PJRDQaxefzEYlEGDZs2DEHtXBw0pSXl8ef/vQn1q5dy1NPPcXWrVvxeDykpqYiSZKyGqFWq5UxeubMmVx00UW9lgtBEASht6nVaoYPH05GRgZ79uwhGAzi9XpxuVyEQiHC4TCNjY3ceeedJCUlHVMy0ZSUFOx2O3l5eTz99NPs27dPyWys0+mwWCyEQiHUajVjx47lkksu6TbfFQHt2UkEtqcxvV6PTqdj3759pKWlASgTqebmZnQ6HV999RV9+/bttpp7rMLhMJs2beKdd96hpaUFg8FATk4OO3bswO12AwcTSvn9fnQ6HSqVimg0il6vZ9SoUXz++ee0traSn59PLBbjhRdeYNiwYUyfPv2Ya6DBwRWSrrNobrcbp9NJOBzulg7e4XCIwFYQBACsVis6nQ632017eztarRan04ksy3g8Htxud7dtccdDq9UyadIkhg0bxquvvso///lPAoEAbreblpYWJYmJw+HA5/NhNptFUCsIwhmh6/hFV3Z3j8eDJEl0dHSQmZlJamrqceU/0Wg0JCcnc8UVV/D+++8rNyYbGhqIRCL4/X68Xi9paWk9vjtROD2JwPY0ZjAYuPjii3nyySfRaDQ4HA7lHKvb7Wbw4MEkJydTXl5OVVUVQ4YMwWKxKO+XZZlYLEYsFkOr1R4y6MRiMXbv3s3bb7/Nvn37MBgM6PV6Ojs78fv9nHPOOWzdupWOjg7C4bCycgooiVNsNhv33Xcfn332Gdu2bSM7O5ucnBw2bdrEnj17mDZt2lGVxOgSDAbZuHEjlZWVhEIhamtr2b9/PzabjZycHDQaDa2trcRisR76lgVBON0lJSVx/vnn8/bbb6PRaAiHwzgcDlQqFZFIBIPBwDnnnNMjbVmtVm666SYWL15MY2MjBoMBtVqNz+dDp9MRCoUIhUIiKZQgCGcElUrFrFmzWLx4Ma2trUQiEdrb29FoNESjUa644ooTTurZdcSjtbUVvV6PJEm0tLQoO2Ly8vJ66NMIpztxxvY0Fw6H+fe//827776L0WgkMTERs9lMMBgkPj6eMWPG0KdPH2KxGE6nk/79+1NcXExjYyPLli2jsrISWZax2WwMHjyYCRMmYLVaqaur4+233+brr79Gq9WiVqvxeDy4XC5KSkr40Y9+RN++ffnwww95++23qaurAyA+Ph6fz4fBYKBPnz4kJyej0WiUQWf+/PkEg0EKCgpIT09Hr9eTk5PD7NmzsdlsuN1u9Hq98jm6RKNRysrK+OKLLzAajWRnZ7NixQols97AgQPJyspCr9fjdDo599xzxYqtIAiKpqYmbr/9dvbu3Ut8fDxGoxG1Wo3RaOTee+/loosu6rGta7Is89Zbb/G73/0Og8FAQkICFosFrVZLLBZjzJgxPPjgg6LGtyAIZ4RYLMYTTzzBSy+9pCRyslqtXHfddcydO/eEV1NlWea9997j4YcfRqVSkZCQoCymXHPNNdx4441iB4wAiMD2jCBJEtXV1ezZsweAkpISbDYb77zzDkuWLKGwsJAhQ4aQlJSEz+ejvb2djRs3IkmSkthJo9EQi8VISEggISGBdevWIUmScpa2s7OT7Oxs5s6dy4QJE7pt+/X5fDQ3NxMOh0lISMDlcvHkk0+ybt06MjIyyM3NJT4+HoPBQL9+/dizZw+ffvopdrtdKREUCASAg4OX2WwmJSWFkSNHMmnSJA4cOMAnn3yC1+slKyuLuLg4PB4P5eXlLFu2DJ1OR2FhIampqVgsFmbNmsWYMWPE+QpBEBSSJPF///d/bNy4Ea/XSywWIzk5maKiIv7whz8oZX16Sjgc5tVXX+XFF1+ks7MTk8lEfHw85513Hvfdd5+48SYIQq8LhUIA3eZsveXVV1/lvffeIzU1laKiIlQqFT/96U97LLt7NBrl008/ZeHChezbt49IJMLIkSP5wx/+QEJCQo+0IZz+RGB7BpNlmYqKCp577jmqqqooKSkhLS2NlStXotPpSE1NJTU1Fbvd3i2AbW5uJhqNEgwG6ejowGq1cv311zN9+vRuW5m/TzgcZtmyZTz99NO0t7eTn59PRkYGer0eu91OVlYWixcvZv/+/aSlpWEymUhMTCQhIYG4uDhlu2BXCZ/U1FRsNhuhUIgDBw6g0Wi46KKLsFgsLFmyhPb2djIzM5kxY4YyoAqCIHSRJImHH36Y/fv3ExcXhyRJhEIhsrKyeOihhzCZTL3S5ueff87DDz9MdnY2l19+OZdeeulJPwvWNbnV6/VibBSEs0AkEuGLL75QyjIGg0GKiop6NcB97bXX+PDDDxk4cCA33ngjzc3NjBs37oS3IX/Tnj172LlzJ5FIhNdee43hw4fzm9/85qjnpsdKkiQqKiro7OzEbreTmZnZ4zdBhZ4lztiewVQqFX379uWJJ55g5cqV/Otf/2Lt2rXodDrS0tIwm80kJyeTkZGBwWDA5XIhSRI+n4/KykokSeLKK6/kyiuvxG63H1Pber2eWbNmMXbsWF555RXefPNNWlpaKCgoQJIknE4n48ePx+FwEIlElJXjpKQkUlJS0Ol0eDweWltbsVgsRCIR9uzZQywWY+bMmUycOFGZiA4aNKhbDTRBEITDCYVCqFQqjEYjHo8H+H91GXuDWq3GZrNhNBqx2+3k5uae1KDW5/OxfPlyTCYT+fn5SJJEdna2mJgJwhluxYoVyLLMsGHD0Ov1RCIRKioqKCkp6bU2g8EgcHBM7bqJ1tPzMr1eT1ZWFk1NTUqW+d4q7SjLMsuXL6eiooKZM2eSnZ2tnB3ujRuhQs8Qge1ZQK/XM23aNPr27ctNN92kDDQajQa9Xo/ZbMZoNBKJRJRMywUFBfziF78gOzv7hAYmu93Offfdx7Rp03jyySfZtGmTsj3Z5XLhdDqVc7gGgwGbzUZqaipmsxmn06ms0Pr9fi644AJmzJiBzWY7pB0R1AqC8H1kWSYSiShjRdekq7c3Lfl8PqWNk7lBKhaL8dprrxGLxZg1a5aS56CmpgaDwSAyiArCGSoajbJp0ybGjh2rnDvVaDT4/X7C4XCvnO2XZZlgMIhKpUKr1dLe3k5TU1OPz80CgQDhcBjo/Xmfx+Ph1VdfZdKkSVitVrRaLWlpaVRVVVFUVNSrbQvHT5y0PovEYjGCwSCRSIRIJNKt3pjL5cLr9SrPJyQknFCJoG9Sq9WUlJTw3HPP8eijjxKNRvn666+prKwkHA4Ti8WUzHZdr9dqteh0OuV/77jjDq6++urDBrWCIAhH45vBbNcuD4PB0Gt3/OHgVrauNk/mDbjW1laWLVuGWq1WyrCpVCoyMjJwOp0nrR+CIJxcKpWKUCjE9u3b2b9/P06nk7q6OmWVszfb7QpsZVnusbO13+TxePD5fHi9XqB3bxaGw2Gam5s5cOCAUl6oq/a58MMlVmzPInFxceh0OgKBgFILzGg0Eo1GMRgMBAIBOjo68Pl8pKSk9PhkT6/XM3v2bMaNG8d//vMf3njjDaLRKOFwmFAohM/nw+Vy0d7ervTR5/MpZ23FqqwgCCeiK8g0mUy0t7eflKzEKpUKtVqNSqXqlum9t3UlCmxqaqKhoYHk5GT0ej3BYFA5cysIwplHo9Fw8cUX85e//EWpIxsMBrngggt69SZeLBZDrVYjSRLx8fGEw+Fe2YpstVppbm5WFkF66zNZrVb69evHxo0biY+Pp7W1FY1GQ3p6eq+0J/QMEdieRex2O/3792f9+vXo9XrlrprH40Gn0xGLxQgEAng8HoqKinr0wP83JScn88ADDyDLMs8//7wSxLpcLnQ6nVITNxwO43Q6CYfD4jyDIAgnRJZlfD6fEmh2BZu9XfP6m0Hkybw5l5GRQXp6Olu3biUxMZFAIEBiYiJtbW2MHj36pPVDEISTb9SoUfzv//4vv/nNbzhw4ABXX301Q4YM6dU2u8ZXSZJwuVy43e4eb0Or1SrnalUqFRqNptfGVb1ez4MPPsg999zDBx98QHV1NbNnz6Zv37690p7QM0RgexbR6/XcdNNNbN68GZfLBRzcauHxeJQ7XqFQiOTkZM4///xe7YtarWbq1Km8/vrreL1edDodarWaWCyGz+dDp9MhyzJ+v5+cnBwyMjJ6tT+CIJz5vjkB6poQ6fX6Xt2eF4lETurZ2i4Wi4X777+fX/7ylyxevJh9+/aRkZHB9OnTiY+PP+n9EQTh5FGpVAwZMoS8vDzsdjt+v79Xx7muHAaRSIQDBw7w0UcfkZOTg8Ph6LHSZl2VPnbu3EkoFMJgMPT6jcmu+afVamXSpElMmTJF1Mv9gRP/dc4yEydO5Cc/+QmBQID29nba2tpobW2lpaWF5uZmVCoVd999N6mpqb3el8GDB3PZZZcpK7OdnZ20t7fT0tKi9CcYDHL55Zf3ylkNQRDOLiqVimg0Snt7O8FgUMmq2VsTFVmWkSRJuf7J2Pr8Teeccw6zZs0iFAoRFxfHZZddxqhRo8SxDkE4w8myjMvlIikpSUnU2Zs32DZu3MiuXbtISEhQAsHGxkbeeOMN/H7/CV9flmVWrFjBokWLqK2tJRKJUFhYSDQapaOjowc+weFFo1FcLpeyBVpUSP3hE4HtWUaj0TBixAgSExNJTU0lEokoZ1lTUlIYMmQIpaWlJ6UvOp2O+++/n+uuuw6Ajo4O2tvbaW1tpbW1FYDbb7+dESNGnJT+CIJw5iovL8flcqHRaIiLi6OwsJDExESCwSBtbW093l44HObdd99l8eLFyo3CDz/8kN27d5+0yZFKpSIQCGC1WsnJySEzM1MEtYJwhovFYixfvpy9e/ei1+txuVy0tbVRXV3dKyuc4XCY//znP4RCIaxWK7m5ufTv35+cnBxaW1vZtWvXCbdRW1vL3/72NwKBAMnJyfTp04f+/fsTHx/Pxx9/jCRJPfBJDhUMBpVSmB6Ph/LycpF87wdOBLZnKYPBQL9+/ZgwYQKXXnopdrtdKbNzMrdZ2Gw2HnroIZ577jksFgsGgwGz2czFF1/Ms88+y9SpU8W2D0EQTojH4+HJJ58kGo2SkpJCfn4+RUVF5OTkIMsy77//PtFotMfai8VivPjii7z++utEo1Gys7PJycnB7/fz7rvvsmfPnh5r6/tIkkRnZycqlYpgMEhnZyednZ29NgkUBOHUq6iooK6ujoqKCrZu3UosFqO1tZUXXniBRYsWKeVyeorL5aKurg5JkpQEfRqNBo1GQywWo6qq6oTHnHXr1tHW1oZarcZgMJCcnExWVhZ2u53a2lqlLnlPkWWZrVu38vvf/54DBw4Qi8VwOBzKglBPrEILvUNEDGeprsQparUao9GoBI9dj59Mer2ec845h7i4OPLy8ujfvz8zZswgLy9PrC4IgnDCtm/fTkVFBTqdjri4ONLT08nJySEtLQ2z2cy+ffuUXSI9Yf/+/SxYsACNRkN8fDyZmZkUFxdTWFiIVqtlyZIlPT65PBy3243D4QAO1n/0+/2EQiH279/fo4G8IAg/HHv27GH79u289957ZGRkMHz4cAYOHEhSUhIbNmxgw4YNPdpeV6Z1r9eLw+Ggurqa8vJy6urq6OzsZNOmTezbt0/J7XIsJEmivr6e1tZWQqEQfr8fj8ejHKXrKv/T0+PZ9u3b+e1vf0tFRQWjR4+moKCAzs5O3n77bdRqda9ufxZOjAhsz0KBQEDZjtJ1BqwrgDyVd/K7aqABYpVWEIQeU1VVRTgcVpKbhEIh5eeu+t6dnZ090lZzczOvv/66soKg0Wgwm83YbDZsNhsmk4nW1tZe3c4mSRLLly/nwQcfZPv27QA4nU527dqF2WymoKCgV7ZfC4Jw6uXl5bFt2zYA5cZabm4uKSkp6HQ6NmzY0CNbkiORCKtXr+ZPf/oTsizjcDhoampi37597Ny5k/379+N2u7n88supra1ly5Yt7N2796jmmbIs09nZyZo1a1i2bBlZWVlEIhFcLhdNTU2Ul5ezY8cOqqurcTqdbNy4kWAweMKfCQ7uuHnppZdwOBzodDpSU1Pp27cvAwYMIBaLsWrVql5PWiUcP5EV+SzUdWdLpVKRmJjYbZXWYDCckj7FYjFisZjSD3FAXxCEnuD1epXa2B6Ph7a2NgwGAw6HA7/fj8PhwOfzEQgEkGX5uHeJuFwuPv30U5YuXUpDQwPBYJBgMIjP56OjowODwUA0GsXr9RIKhXqtnBoc3Lb35z//GbPZzIgRI0hKSsJut1NZWcnChQu59tpraWtrE9nmBeEMVFJSQmZmJm63m0AggNvtRq1WK2NPa2srNTU15OXlHXcN2Pr6el5//XV27dqFJEnY7XYSExOpqqrC6/Uqc8k+ffqwceNGzj//fFQqFY2NjdTV1TF27FgsFku3OV/X3x0OBzU1NTQ0NCBJEtOmTWPJkiXYbDba29uV0m16vZ5oNIpGo2HJkiXs2bOHOXPmUFhYeEK7/bxeLxUVFcRiMaLRqLL4o9fr0el0VFZWMn369OO+vtC7RGB7Fvrmyih0H1ASEhJOyfbfrtWTru3RCQkJJ70PgiCcOUKhENu2bWPVqlV4vV7UajWdnZ1otVoCgQAmkwlJkvB6vej1et555x1qa2uZNm0acXFxR91OIBDgiy++4IMPPsDpdKJWq5FlmVAopGyZ02g0SlbSrtrcX331FZMnT+7xm4nhcJiXX34Zn8+H1WrFarWSn59Peno6Pp+Pqqoqvv76a3Q6XY+2KwjCD4NWq6VPnz6sWrWKxsZGVCoVFosFv99Pe3s7Wq2W5557jszMTM455xyGDBly2LmfLMtK4Ni1i87n8/HJJ5+wZMkS/H4/gUCAPn36cNttt5GVlcWqVasoKyvDarVSU1PD1q1bUalUNDU1MXDgQCZPnqyUAxo2bBjl5eXU1NRgNBoZPnw4sizT1NSE3W6nsLCQ2tpafve73+F2u8nKysJsNhOLxfB4POTk5DBnzhy2bt3Kxo0bcbvdtLa2MmzYMGbMmIHNZjum783r9bJz506WLl2Ky+XC7/fj9Xppa2ujqqqK9vZ2HA4HGRkZJz3DvXD0RGB7FuoKILv+/s2V0lOpa+W4686YIAjCkciyTGNjI9XV1ZhMJpKTk/F4PKxbtw5ZlrFYLDgcDoqKiti/fz+NjY14PB4MBgOyLKPVapXSP6tXr2bHjh1cfPHFDB069HuDv67gdMGCBTQ2NqLRaAgEAsTFxTFx4kTcbrdyDisUCtHe3o5arVZe89lnn1FWVsall15Kfn5+j43BnZ2d7N69W/luusbTrtURnU7HmjVruP7663ukPUEQfljcbjd2u53zzjuPtWvX4vf7MRqN3Xbrtba20tHRQU1NDZ9++inFxcVMnDiRvLw8dDodO3bs4LPPPiMYDGK1Whk/fjxms5lXX32VAwcOEIlE0Ol03HzzzUyfPl0pyXjxxRdz8cUXAwd3B65bt45//OMftLW14fP5qKysZOLEiRQUFPDcc8/R1tZGamoqVquVuro6QqEQ8+bNo7W1lZdeeommpialRu748eO58sorMZvNBINBEhISsFgsXH755axatYpnn32W1tZWvF4v+/fvZ/r06ZSWliLLMs3NzbhcLpKTk0lJSVF2zMRiMQ4cOMCqVavYsGGDcgPSarXS0tJCR0cHGo2GYDCI0WgkISFB5H/5gROB7VnI5/Mpf49EIso2FTh1W4C72hWDhSAIx2LHjh2Ul5dz7rnnYrfb8Xg8bN26leTkZBoaGqisrKS0tJSf//znVFRU8N///peamhoMBgPDhg3j6quvprq6mueff562tjZyc3P573//y7p167jsssvIysoiHA5TVVVFc3MzVqsVnU7HggULqKioQKPREAqFUKvVnHPOOXi9Xvbs2UNeXh579+6lo6MDn8+HyWQiPj6eoUOHsm3bNtxuN8FgkH/961+cc845TJs2jfj4+OP+HiRJoqWlhWXLluH1etHpdMr269bWVtRqtVLebeDAgWIbsiCcgZxOJ4sWLaKoqIja2lqSk5Opr69Hp9NRVFTEj3/8YwYMGMCmTZtYvHgxFRUVWCwWOjo62LlzJ8nJydjtdlavXo3NZiM5ORmXy8WCBQtoaWkhHA4TCAQYPXo0N9988/eOI1qtlnPPPZfS0lLmz5/PggULcDgceL1eXC4XDQ0N5Ofnk5WVRWZmJn6/n/r6el588UXq6+uRZZlgMMigQYO44YYbKC4uPmz+Fa1Wy/nnn8+wYcN4+eWX+eijj5QM8Fu3buXAgQNUV1cTFxeH1WplwIABTJ8+nf379/P5559TWVlJNBolGo0SiUTIzs7m8ssvZ+3atXzyySfKPFmj0ZCfn09LSwvbtm1j6NChvXqkRDg+IrA9S31zO3IgEEClUp3Q+bITFQgEuiUUEOUoBEE4klAoxEcffcQFF1xAamoqGo0GvV5PQUEBCxcuxG6388ADD5CVlYVKpSI1NZUxY8bg8/mUpE4qlYq+ffsyatQoXnvtNT744AOSk5OJRCI8/fTTDB48mL1799LQ0IDRaMRoNBIIBJRMnIFAgIEDB6LT6dizZw+yLCsJqa655hpKS0upq6vDZDIxYsQI+vXrR1NTE8888wzr1q0jLy+PUCjE3r17ufjiiykpKek2WTrSuBwMBikvL+fzzz9nx44dRKNR7HY7TU1NuFwuZatzR0cHsiwTCATIyMgQNxEF4QwRiUQIh8OEw2E+++wzioqKqKqqIicnhxdffFH5t5+eno7JZAJg6tSpXHDBBdTX17Ns2TJWrFhBQ0MDra2ttLS0kJqaSlpampLJvb6+ns7OTgwGA/fddx8jR4486qDOarXyox/9iPPPP59//OMfbN++Ha/XS1xcnJI5PjU1Fa/XS0tLC/X19YRCIXJzc7n++uspLS09qrPAiYmJ3HfffVxwwQU8+eSTSnIpv99PVlYWKSkpJCQk0NDQwOOPP05LS4tybESr1TJq1ChmzJhBYWEher2emTNnctFFF7F9+3Y0Gg19+/blrbfeYtOmTVitVmRZZujQocd9TlnoHeK/xllIluVud72+mTzqVE92VCoVWq1WJI8SBOGIXC4Xzc3NhEIhJElSzreazWZmzJjBqFGjDrnDr9FosFqth1wrMTGRe++9l2nTpvHMM89QVlZGbm4uCxYsQK1Wk5mZqZQH8vv9NDc3K4+Xl5cTiUSQZRm/38/AgQO56aab6N+//2FXGHJycvjDH/7AF198wTPPPENrayt9+vThtddeY8CAAVx88cWEw2FWrVpFS0sLBoOBIUOGMHLkSIxGI5Ik0dbWxsaNG1mxYoWyIitJEj6fj8TERNrb25UatqFQCIfDgcFgoLS0lEAgQDgcFkc+BOE0t3fvXqqqqsjMzCQUClFSUkJNTQ1xcXHMnj0brVZ72PEOUFYgf/zjH3P99dezfft23nzzTaqqqlCpVMrWW61WS3t7O3FxcVx22WWMHj36mPupUqno06cPf/zjH1m9ejW//e1vCQaDSomgru3FXbtbbrjhBs4999xjzkGgVqsZOnQozz33HC+88AIvv/wy2dnZmEwm0tLSyM3NpaOjA5fLRTAYJDMzkwsuuICJEyeSmJjYbQ5sNBo577zzmDx5svIZhg0bxoMPPsiaNWswm8188sknmEwmsrOzycvLw2w2H/N3I/QsEdiehboSqXRNwrrOl8Gp3Yr87aRWgiAI38disRAIBNi2bRtJSUnKdrY9e/Ywbty4Yy4bplKp6N+/P3//+99ZtmwZTz/9ND6fj9zcXBISEsjJySExMZHOzk5isRgNDQ3s2LFDyTialZXFvffeyznnnHPE5ExarZYLL7yQ4cOH85///IcPP/yQ9PR0wuEwe/fupa6uTsk2GhcXR21tLTt37mTYsGFs2LCBbdu2EQ6H0Wg0yopNnz59mDZtGqNGjWLDhg387W9/o6mpiUAggMViIRqNEhcXR2pqKmvWrGHChAkiuBWE05TD4WDlypVccsklpKWlIcsylZWVJCUlYTKZjmk+ZzabGTNmDAAbN27E5/PhcDiUbcwdHR0EAoETHi90Oh2TJ09m8uTJfPTRR0oyq46ODiRJwu12c9VVVzFlypQTasdsNtOvXz8kSVKSk0ajUSWnjFar5bbbbuP8888/4mf65rw0NTWVW2+9lUcffZSWlhamT5/OmDFjSEpKoqGhQSSW+gEQge1ZRpIkPB6PMhEzGAwYDAZSU1OBg3fwTvaW5I6ODtasWYPRaFTOgVVVVZGamnrKyg8JgvDDZ7FYuOyyy3jllVfo7OwkMzOTYDBIcXExdrv9uK+r1+uZMWMGX331FUuXLlWSTJlMJuLi4pRyPSqVikAggNVqZd68eZx//vnKVr+jZbfb+Z//+R+mTJnCX/7yF3bu3InBYEClUpGZmUlqaqoyPjc3N/PCCy8oSf+8Xi9ms5lJkyYxZcoUZdsgwMyZMxk1ahRlZWW4XC7y8/MJhUL85je/wWKxkJCQwObNmxk1apTyWcSNRUE4fVRXVxOLxZTETSqViri4OGw2m3K2/2grTASDQb788ksWLFig7PDQ6/XKef2u4xvFxcUn3G+1Ws0tt9zCpk2blB03bW1tqNVqSkpKmDBhwgm3AQeD0K7SQF2JsroWczo6OpQ557Hwer289dZbjBo1iq1bt2IymbBYLKjVarKysnA4HKSlpfVI/4XjIwLbs8yGDRtYsmQJiYmJygDYNRELBoPs3buXvXv30r9//5PSn6+//pqnnnoKp9NJfn4+FosFvV7PokWLKCsr45prrjmhCaogCGe2GTNmkJKSwooVK+jo6GDcuHHHtVr7bSqVSsmG6ff7cTqdSvIUt9uNz+cjFotx+eWXM2fOnGMuLfFNarWa0tJSnn/+ef7617+ycOFCsrKy0Ov12O12cnNzUalUSJJEe3s77e3t5Ofnc8MNNzBu3DhsNtthg9Lk5GQmTZrU7bEnnniCBx98UAmIV61aBYDNZiMnJ4fU1FQR4ArCaUCSJPbv38++ffvo378/sViMiooKDAYDHR0dWK3WIwa2kiRRXl7O66+/Tm1tLdFolPT0dDo6Oqirq1NKpBmNRubNm0diYmKP9L2oqIh//OMf/PWvf+Xrr7/GZDIxZ84cLrvsshNKovdNAwcOZMyYMaxduxatVks0GqW1tZVYLEY4HOajjz5i3759XHzxxaSnpx/VuNfW1kZNTQ1ms1lZ0W5paSE3N1dJziecWiKwPYu4XC6effZZQqEQCQkJJCQkkJaWhs1mQ5IknE4n7e3tLFq0iJ/+9KfHvPJwrKqqqnjkkUcIBAIkJycrg7DFYkGSJBoaGliwYAE33XSTckdSEAThm9RqNaNGjWLkyJHKzz2h6zzV22+/rZzljcViWCwWQqEQTqeToqIirrvuuh5LHmKxWEhNTVW2zHX96cqLoFKpMBgMPPDAA4wZM+a4atEOGTKEn/70p/zud7+jsbGRMWPGcOGFF5KTk4PX66WpqYnMzMwe+TyCIPSekpISdDod77zzTrfANhgMMmrUKFatWsXYsWPJzc1VxpFv1qRtb29n/vz5bNiwgUgkouQHuPXWW3G5XLz99tusXLmSjIwM7rnnHs4///wevelVXFzM7NmzMZlMlJSUcM011xxTDfEjMZlM/OY3v+Guu+6isrJSqe09cOBAvF4vO3bswOv1UldXx+TJkxk/fvz3zntlWaa9vZ3Ro0eTlpbGunXrWL9+PXFxcQwYMIBIJEJpaWmP9V84PiKwPYt8/fXXVFVVkZKSgk6nIy4ujpSUFJKTk4nFYqjVavx+Py0tLdTV1dGvX79e64skSbz66qs0NTWRmpqKXq8nPj6etLQ0EhMTlQGkurqaXbt2KZNWQRCEw+mpgPabzj33XEaMGMGWLVuULW1dyZsMBgNz5szp8YyYSUlJSrZll8tFS0sLGo0GjUZDW1sb0WiUzMzM4wpq4WAm6c8++4yBAwfS1tZGYmIiSUlJ6HQ6EhMTaWpqIhqNikyfgvADZ7FY+PWvf82SJUs4cOAAffr0IT8/H6/Xy0cffcSgQYPo6OjAbDZTUVGBWq0mIyODqVOnUl5ezkcffYTH41Fqwt5xxx2MHz9eGVvy8/PZt28f2dnZWK3WXhljExISlDI8vVE6JyMjg4SEBAYMGEBpaSmzZs2ipKQEgIULF/Laa6/R1taGx+Nh+/btXHTRRUpZoa5yaSaTCbPZzKZNm1i3bh1Tp05l3759pKen43A4WL16NW1tbcyePZukpKQe/wzCsRG/uc4iZWVlSuZOODgR1Gq16PV6YrEYOp0OtVpNKBSiubm5VwPbhoYGVq9erdz902g0mEwmEhISSElJAQ4Wzna5XGzatIlhw4aJemGCIJxU8fHx/OEPf+CJJ55g5cqVuN1ujEYjhYWF3HnnnQwaNKjH2xw1ahSJiYk4nU50Oh0qlQqXy4VWq1W2P7/yyitMmTKF0aNHH3Megra2Nvbs2UNGRgY+nw+3243f71e2Uut0OoLBYI+unAiC0DsSEhK45ppruj3WVdrnmWeeIRaLodfrSU9PJz4+nvr6ep588kk6OjqIRqNIksTFF1/MZZdddshxCovFoiSda2tr65X+d50L7q18Kk1NTbS0tJCXl8fs2bMZPny48tz111/Pueeey3PPPcemTZtwuVy0trYydOhQ9Ho9q1atIhaLkZiYSEpKCm63m6FDh7J371769evHT37yE9LT08nJycFgMBz3zUahZ4nA9iwhyzKyLBONRgmFQoRCIXw+nzJh6spGFwwGlQxyvcHtdvPJJ5/wwQcf0NjYSHx8PJIkIUkSsVisW/3armQmDoeDcDjc61ujBUEQvi0rK4vHH3+cBx98EJVKRUpKCrfffjvJycm90l5ubi733nsvf/jDH2htbSUcDuN0OpWtyH6/H51Ox/vvv8+WLVuYM2cOBQUFR71FMBaLYbfbiY+Pp7W1lT179pCTk4NarUav11NVVdVt8icIwulFpVIxfvx49u7dy4IFC0hLSyM/P5+UlBRcLhe1tbW0tbUxcOBA5s6dS35+/mHHD4PBQGJiIsFgUKn52tPn71tbWzGZTBiNxl45279lyxa0Wi0Wi4XCwsJuz6lUKnJzc3nsscdYvXo1zz77LK2trUqiqcTERDIyMtDpdHR2dqLRaKivr2f27Nnk5OT0eF+FniEC27NAJBJhy5YtlJeXEwgE8Pv9eDweHA4HarUat9sNHAw6nU4ngUCA6upqXC7XCSVE+aZgMMiqVauYP38+bW1txMXFYTQaCQaDhEKhbn3qCmg7OzuVmoxitVYQhFNFp9MpdRC7Eu/1FpVKxZVXXsnGjRv54osv8Hg82Gw2RowYwVVXXcXmzZt59dVXsVgshMNhXnjhBc455xymTp16xKQrLS0tvPfee9xwww3ExcVRVlbGunXrkCSJ6upqTCYTQ4YMESsPgnAa61rEqK6uRqVSodfrSUhIIDk5GVmW0ev1ZGZmcu+9935vck61Wk16ejoVFRU4HI4e76fL5aK9vZ2ioiIyMzMJBAI9mk9FlmXWr19PfHw82dnZ3zk+arVazjvvPEpLS3n55Zd54403sNlsGAwGkpKSKCwsRK1WU1VVxTnnnCOC2h84EdiewSRJorKykk8++YT29nbS09Ox2Wx4PB5l4hIKhTCZTKhUKkKhkFICaNeuXdTW1jJjxgxGjRp13BOdaDTK1q1beeONN6ipqcFisWCz2fB6vciyrBTkNhqNysDpdrtRqVR4vV6cTidGo5HNmzczYsQIkURKEISTTqVSKTVgT0bQFw6HqaurY8CAAeTn5/PLX/6S+Ph41Go1AwYMYPLkyTz99NNs2rSJ3NxcAoEAu3fvZvbs2QwaNAhJkqitraWjowOtVqskhnr99dcpKSnBarWydetWUlJSkCQJWZbxer2MHTuWwYMH9/rnEwShd1RVVbFnzx6sVitJSUnk5eWRkJBAa2urkiTU4/EoAe+RZGdns2vXLlwuF+FwuMe2DMdiMV5//XXy8/OZNGkSJpOJtrY2fD4fFoulR9pwu93s3buXxMRESktLj3hGODExkSuuuILXX39d2UGoVqvRaDTKlu6Ojg5CoZBydE/44RGB7RnA5XLR2NhIOBwmMTGR9PR0WltbWbZsGa2trVitVjIzM2lrayMrK4vy8nI6OjqIxWJKwW2NRqNkxdNoNBgMBtRqNe+88w6bN2/mkksuIS8v76i3ikiSxL59+/jvf//Ljh07MBgM2Gw2AoEATqeTvn37kpuby6JFi/B4PEr93FAoRGdnJyqVikgkQjgcZsSIETQ3N/PJJ59QWlpKXl6eWMEVBOGk6kq411XztTd1BaW5ubmUlJR02zmjUqnIy8vjT3/6E19++aWyfa6goIDXX3+dgoICWlpaKC8vV+ruWq1WIpGIkjRl3759XHPNNdxyyy0AmM1mMUkThNNcU1MTK1asYObMmaSlpTFq1Cg2btzI0qVL2bVrFwkJCUQiETo7OxkzZsxRBZDZ2dmEw2ECgQDBYLDHAtuOjg527NjBoEGDlPlmYmIidXV1FBUV9UgbFRUVeL1eMjIyjrr+rl6vR6/X4/P58Hq9tLW1sXr1amKxmJJUymKxEB8fT15eXo+VPxJ6jghsT2OyLLN582bKysoYPHgwGRkZAKxcuZJ9+/Zht9spKCigo6OD/fv3E4lEuOeeewgEAjzzzDMcOHAAt9uNXq/HYDBQVFTE1VdfzbJly1i/fj1paWlkZWVRU1PDM888w+jRo5kxY8Yh2zlCoRCxWAytVotOp+PAgQO8++67rFmzBo1Gg9VqJRwO097eTmZmJueddx7l5eXU1NRQUFBAbW0tsiwrgbbBYEClUqFWqwmHw2zdupWRI0dSUFBAVVUVtbW1lJaWkpCQgM/nw+/3K1mVRcArCEJvsFgsmM1mDAZDr48zX331FTqdDp1Ox5AhQw77Gp1Ox4UXXsiIESN4+eWXWbRoESkpKbS0tHDgwAGllFtXxmOv10tLSwuSJHH11VeL5FCCcIZZu3Yt8fHx2O12paxPRkYGmzZtUvKUyLJMYWEhV1999VHdoEtPTycSiSi763rqeJparcblclFZWUn//v1JTEzE4XB0y7NyImRZZuPGjVgsFux2uzI/PpLk5GQmTJjARx99hMPhQKPR0NLSQn19PSaTiQsvvJAhQ4ZgtVppaWkhEAiI/C8/MCKwPY0dOHCApUuXct555zFgwADMZjNwcAJmMBhwOBxUVFTQ3NzMueeey9SpU5XJzLhx4/jqq6+oqalBq9XSr18/SktLiYuLY8qUKaxevZqnnnqK7du3k5eXR0pKCmvWrGHnzp3MnDmTkSNH0trayqeffkpFRQXRaFSpQbtp0yYikYiSTc/hcGCz2Zg5cyaNjY189tlnGAwGEhISMJlMxGIxNBoNDoeDUCiE2WymX79+3HTTTSQnJ/Pcc8+xePFiRo8ezciRI0lJSWH37t20trbS2tpK3759SUpKQpIk8vPzj1iQXBAE4VhUVFSg1+tJS0tDpVLR1tZ21BOlYyVJEuvXr8dqtRIXF0d+fv73vj4xMZGf/exnTJkyhccff5wdO3aQlpaGXq8nMTGRvLw8zGYzLS0ttLe3M3v2bBHUCsIZyO124/F46OzsVOphO51Orr32WjZv3sxXX31FYWEh8+bNIy0t7aiumZSUpJzZ3bRpE5MnT+6ROVZiYiLjx49n+fLlBINB5YztnDlzTvjafr+fmpoa1q1bR1xcHAUFBUd9jE2r1XLfffdRV1fHtm3blJ2QcPBmYtdCEBwMgruSXwk/HCKwPY0tXboUo9FIcnKyck5WlmWsVis6nY6vvvqKfv368eMf//iQ2lpJSUlMmzbtsNftOkg/fPhw3njjDd5++23a2trIzc1Fo9Hw1ltvsXz5cnbv3k0wGMRqtSpBbEtLC2azmUgkgtPpRKvVMnnyZCKRCCtWrECtVmOz2ZSANz09nUceeYTS0lKam5txuVwkJSWRnZ2tDBZPPvkkS5Ys4bXXXqO+vp7JkydTUlJCWVkZeXl5lJSUkJSUhEql4sCBAxgMBjHQCILQI2pqanj//feZOXMm/fr1UzJjut1urFZrj7fX0dFBZWUlKSkp35vw5JtUKhWDBw/moosu4quvvlJKuun1euLi4rBYLAQCAdra2nC5XEpJNUEQzhwjRozgqaeeIj4+nr59+xIIBGhubua6667jiiuu4LbbbiM7Oxun03lU13M4HDz//PPK+f4vvviCrVu3cuWVV55wqTO1Ws3tt99OTk4Ou3btIikpiSlTphxxe3TX7r7vOhJSVlbGP//5z267EbVa7TGdD87JyeG8885j79695OXlcf7556PVannjjTeoq6ujpaWFrKws/H4/wWDwuD6/0HtEYHuakmWZ/fv3Ex8fTzgcViYyXRITE7nuuusYNGjQcZ8Hs9ls3HXXXUydOpWnn36azZs3k5GRQWZmJhs2bECSJJKTk7HZbCQkJGA0GonFYni9Xg4cOMDw4cOxWq1s2rSJUChEXFwcsizjdDqxWCzccsstzJgxQxnIvuusgsFgYM6cOYwfP56XXnqJt99+m6KiIux2O0OGDMFmsymlMDIzM6msrKRv377H9ZkFQRC6yLLM8uXLsVgspKWlKXVlMzMzqamp6ZXAds+ePUpykuHDhx/T+K3T6YhGowSDQQKBAG63mw0bNijn1sLhMHv37iUSiRx10CwIwulhyJAh3HjjjSxcuJAdO3ZQXFzM1VdfjcFgQK/XU1BQQCwWo729nWg0ilb73SFALBbj2WefZceOHeTm5pKVlYXBYMDpdLJw4UKys7MPu3J7LCWBjEYjl156KZdccgnAEd/X3t7Ohg0bsFqtJCQk0KdPn267T9ra2vjd736Hz+cjOzub9PR0zGYzdXV1rFq1igsvvPCo+haLxdi0aRP5+fnMnDmTm2++mY6ODpYtW8bq1avR6XQUFxcTjUYZPXr0UX1W4eQRge1pSqVSYbPZqKuro6amhrS0NCVtu9Pp5MCBAwwbNuyEk5yoVCqKi4v529/+xsqVK3nmmWfYvHkzOp2O5ORkjEYjCQkJZGRkKEF2W1sbsViM2tpaOjs7lUyiHo8HgIsuuojLL7/8kFXkI0lOTub+++9nyZIlPPbYY0yZMoVIJNItqFer1cpjvZ3gRRCEM5ssyzQ0NKDX6/F4PErt2nA4TGdnZ6+MM+vWrcNisSiTp2NRUlKCxWLB4/FgNptpamqirKyMpqYmnE4nY8eOVc7dulwuAoEAqampPdp/QRBODZVKxXnnnceECROIRqNKUqYu/fv3Z/PmzQQCAbZt20bfvn2/8+ZcS0sL69atIyEhgcTERPLz85Ugsaqqim3btjFq1Cgl+WhTUxN79uzBYDCQnp5Ofn7+9wbO3+73kQSDQZ5//nlGjhzJyJEj0ev1bNmyRclY7/P52L59O1VVVeTk5BAXF0dubi52u53Gxka2bt3K+PHjlSN730WSJGpqaqipqaFv374MGDAAlUpFUlISTzzxBP/+97/56quvCIfDzJ49u1dubgonRgS2p7ELLriA//u//2PLli3EYjGys7NRq9U0NTXh9Xp79KypTqdj6tSpDBo0iOuuu45IJIJarUan0ymH8xMTEwmFQoTDYaVkj9VqVbZrjB8/nuuuu47c3Nzjngyq1WrlTllrayvNzc04HA7lvFtX9j5BEIQT1VVe58MPP2Tz5s1IkoTZbKa6upqUlJQeD2qDwSDbtm1TEsAc7Tm4LkVFRVxxxRW89tprSiKWlJQUmpubCQaD5OXl0adPH2Ur8oEDBwgGg6KMmiCcQboSz31TfX09DoeDOXPmcM4552C1Wtm9ezcDBw48bDI8p9OJ2+0mPj4eSZKUsmCSJBGJRFi7du3/196dxUZV9n8A/54znX2mnWnpTJfpOt0pW0tZrEAoywWRRIRUUrRR0hhNjNFIiAYXQowh7gkXoFcmECSQEAENJrVBQCSthKrQCLRM6ZQuTNMZZjprZzn/C9MTeeX1T6FQ5u33c9PQlDPP6cXp+T7P7/k96OvrQ2pqKnQ6HRwOB5YtW4aysjJEIhH09PSgoqJiyu7J6XTi+vXraGhokKsDu7q6cPXqVYRCIYRCIblJaiwWA/DXtjqNRgO1Wo2BgQEEAoF/DbaJRALHjh2Dw+FAamoq8vPz72iWVVBQgF27dsml0Owk/3hisE1iCxYswPPPP4+DBw9iYGBADndmsxnNzc33PFs2GSkpKfL5XhNfJ1ZMJzoZT+z1jUajGB0dRXV1NV544QVUVFRMyYPAZrOhvLwcV65cgdVqhVarRSAQgFarhcvlgk6n42otEU2JdevWobOzEydOnMCVK1eg1+tht9uxZMmSKfuMsbExtLe3o7OzEx6PB1arFWVlZfd0zuTfTTQ+8fl8OHLkCMLhMAwGA+x2O5RKJSRJkp/BgiAgMzMTbrf7oTXCIqLHw7Vr16DT6bBkyRJ5C4JCoUAoFIIgCHC5XHIlXnd3Nw4cOAC/3w+v1yv3U8nIyMDt27dx+/ZtxONxaDQaaLVaaLVazJ07F1lZWXKonjiycarO/VYoFPB4POjt7UV5ebncEK+3t1c+b1atVsvdm69duwa9Xg+fz4fR0VGMj4//v++fDocDx48fx5YtW7B582b5GMxIJCLvzxVFkYH2Mcdgm8QUCgWeffZZLFy4EO3t7QiHw6ioqEBtbe1Da540MfsVCAQQiUQQDAbh8/nkPRsTTaOCwSB0Oh1effVV1NTUTNnDDQC0Wi22bduGN998E+fPn0cgEIDD4YBGo0F6ejqeeuqpKfssIprZjEYjdu7cid9//x3Dw8MoLi5GRUXFPU0cSpIEv9+PRCIBvV5/1//jcrnw4Ycfwul0IjU1FSUlJXLlzfDw8KRDp8FggMlkQmZmJkpLS7Flyxao1Wq89957uHnzJm7evAmz2QylUgmv18tJQKIZQKPRoKenB93d3XJjqYkV1x9//BGLFi2CKIpyqa3X64VSqcTo6CiAvxZMRkZG0N/fj5KSEjzzzDO4efMmXC4Xfv31VxgMBqSnp8NkMiGRSMDr9f6j98uDyM/PR3V1NVpbWxEOh2G1WlFVVYVXXnlFLoceGRnB1q1bcevWLcRiMej1ejgcDoyMjMBisaCtrQ3Lly+HwWBAPB7/xzO5v79f3qKRkZEBtVoNt9s9pef30sPHYJvkJkpzJ7sX637p9XrMmTMHJ0+elEOty+VCIpGA2+1GPB6Hz+eT93PV1dU9lNmtuXPn4ssvv8Thw4fR29sLhUKB+vp6rFq1imV1RDSlNBrNpJuEhMNhHDt2DBqNBsXFxYjFYsjPz7+jt0AsFsMXX3yBS5cuITs7GxkZGcjMzERKSgq8Xi++/fZbtLS0TGpicHx8HL/99pv84rd69WrEYjGUlpbi4sWLSEtLg9/vh9FohMfjwZNPPjmp+yKi5FNTU4OTJ0/i4MGDKCkpQSKRwNKlS/H999/DbrejtLQUHo8HV69ehdfrRVZWFl588UWcPn0aDQ0NqK6uhtPpxE8//YSXX34ZFosFCxcuBPBXmfDbb7+N7777DjU1NYhGo9BqtZOuOPk3SqUS27dvx4kTJ9Df3w+LxYLVq1ff0UXZZrNhx44d2LNnDzZs2IDa2lp0d3ejtbUVAwMDGB0dlZuZVlZWAoD83AWAwsJCjI2N4eLFi8jJyYHNZkNfXx/mzJkzZfdBD58gTeWUCs0IHR0deOmll5BIJGA2m2EymWAwGKBWqyEIAkKhEFQqFd5//30UFRU91LFMlDyLovhQSq+JiO7HkSNHMDQ0hKeffho2mw2SJKGzs/OOfWo9PT3Yt28fTCYTcnNzYbfbUVRUBLVajcHBQQwODqKlpQXFxcX39JnxeBw9PT3YunUrSktLsWbNGjQ1NUEQBNy4cQMff/wxhoeH5c9qbGxkGTLRDBEIBHDhwgX4/X7MmzcPs2bNwrvvvotVq1Zh1apVEEURbW1tcDqd2LJlC86ePQun04mNGzfCZDJBkiRcuXIFpaWl/5hsu3z5Mo4ePQpJklBfX4/ly5dPabC9F5IkYf/+/ejv78fmzZvl98+uri74fD7s3bsXixYtwooVK1BVVYWUlBQ4nU7YbDYoFAokEgkcPXoU33zzDQoLC1FYWIiVK1c+8NFG9GgxCdCkLVy4ENu2bcNHH30Et9uNaDQKv98vP8S0Wi1aWlpQWFj40MciCMIjf3gSEf2baDSKU6dOyU1aBEFAJBLB+fPn4XK5EAwGEQwG5bO7J/a8KZVK6HQ6ed9aIpHAyMjIPQXb8fFxHDp0CAMDA1CpVMjMzITVapU7NxcWFuLzzz/H0NAQJElCdnY2y+uIZhC9Xo8VK1bI/04kEsjJyUF7ezssFgssFgv0ej1qamqg0WjQ2dkp75sF/nrfUqvVCAaDdzRVAoDq6mpUVVUhkUhM2yJDPB7HxYsX5aqXiW0WRqNRLp8+cOAAampq5EpCo9GIUCgEg8EAURSxceNG1NfXw+12Iysra9Knd9D0Y7ClSRNFEU1NTcjLy8O+ffvQ2dkJrVYLvV6Puro6NDc3Y/78+dy7RUQzVigUgsvlwujoKIxGI+LxOBwOB/r6+hCJRBCNRhEIBBCLxRCJRODz+TAwMACDwQC9Xg+3241QKHTP/RLOnTuHjo4ONDY2Yv369UgkEsjLy4PH45FfzlQqFQoKCh7mbRNRkhBFEc899xw+/fRTfP3118jMzERZWRk2bNgAAEhNTUV3dzeuX78Ou92O8fFx9Pb2Ijc3979ebzobK4miiIyMDFy/fh3Xrl2DyWSCUqnEyMgIcnJyUFRUhGAwiK6uLuTl5cFsNqOvrw9VVVXyNQRBQHZ2NitZkhiDLd0XURTlmb9PPvkEixcvhkajQUtLy5QeM0RElGxSUlJQX1+P1tZWWCwWeL1eiKKI2tpaNDc3QxRFaLVaxGIx7NixA729vQgGg9BqtXC73ejr68PY2BhCoRA6OzthNpths9nkjvP/OWkoSRI6OjogSRKUSiUqKiqgUCjkc3i56kBEd5OZmYldu3bh1q1b0Ol0MJvNcjhdv349du7cicOHD6OsrAyxWAzV1dWPbR8TURTR2NiIt956CydOnMDg4CC0Wi3Ky8uhUqlQXV2NhoYGtLW1YXR0FFarFXV1daxc+R/DYEsPJBwOQ6fTwWq1QqFQsCyYiGY8QRDQ1NQEn8+HU6dO4fLlyygoKMDGjRv/sdrx2muvYfv27TAYDKioqEBaWhouXbqEQCCAtLQ0hMNhtLe3488//4Tf70daWhosFgtKS0vlF0xBEJCeno7z58/jxo0bKCkpgdlsRigUQjgcno5fARElCZVKhby8vH9832az4YMPPsCZM2cQjUaxdOnSR9ao9H6Vl5fjs88+Q1tbG8bHxzFv3jy5+ZNSqcQbb7wh77ktLi7+r6vPlLwYbOmBKZVKaLXau64kEBHNRDqdDq+//jrcbjdisRjMZvNdVwbKy8vR0NCAJ554AgsWLIBCoYBCoUBeXh46Ojrw888/Y9myZUhPT0dubi4qKyuhUqnQ19cHu90u72dbu3Ytjh8/jjNnzkCSJNhsNvh8PtTX1z/qWyei/xFZWVlobGyc7mFMSlFREVpaWu76TqpUKjF//vzpGRg9EjxlmB6IJElQq9XQarXsSkxE9DeiKGLWrFnIysq6a6hNJBLYv38/LBYLZs+eDZvNhpycHDQ3N2Pu3Ll455130NTUhNbWVnR1dcFiscBoNEKtViM/Px8ej0e+VkFBAXbv3g2j0YizZ8/iwoULqKyshNlsfpS3TET0WOBCy8zEJEIPZOJoH51OB0EQprVxABFRMolGo+jq6kJtba18XJogCNBoNBgdHYXNZsOaNWtw8uRJOJ1O+P3+O1Yhbt++jczMTPl6s2fPxu7duzE+Pg6VSsXnMRERzSj8q0cPbGLFVqVScYaMiOgeiaIIQRBw69YtDA0NIRqNQpIkBINBRKNRCIKAlJQUVFVVweFw4I8//kB/fz+8Xi96enrkY4L+85oajYahloiIZhyu2NJ9CwaDGBwchMlkgk6nQyQSwdjYGDtwEhHdg5SUFKxduxaHDh2CxWLB+Pg4zGYzhoaG7jiCYtOmTejs7MQPP/yA4eFhmEwm5Obm3vEzREREM50gSZI03YOg5BMKhbB371757NrCwkKIooiBgQFkZ2cjPT19uodIRPTYC4fD+Oqrr/DLL78gOzsbFosFK1euxOLFi++ogPH5fOjo6IDH40FFRQUqKyvZ14CIiOhvGGzpvhw/fhynT5/GunXrUFdXJ5fExeNxdHd3o7y8nKVwRET3IJFIYGRkBIFAALNmzYLRaOS2DiIioknidC9NWiKRwOnTp6HX66HX66HVauWXMIVCAY1Gg2AwCIPBMM0jJSJ6/ImiCKvVOt3DICIiSmoMtnRfvF4vBEFAMBhELBaTS+IkSUIkEkE8Hp/mERIRERER0UzBWlGaNEEQYLfb4XQ6cePGDTidTjnMejweDAwMQKPRTPcwiYiIiIhohuCKLU2aIAjYtGkTzp07hwsXLkAQBAwPD0OtVsPlciEnJwdqtXq6h0lERERERDMEm0fRfevo6MCePXsQj8eRnZ2NtLQ0LF26FCtXrmS3TiIiIiIiemQYbOmBBAIB9PX1IRqNIj8/HyaTid08iYiIiIjokWKwJSIiIiIioqTG5lFERERERESU1BhsiYiIiIiIKKkx2BIREREREVFSY7AlIiIiIiKipMZgS0REREREREmNwZaIiIiIiIiSGoMtERERERERJTUGWyIiIiIiIkpqDLZERERERESU1BhsiYiIiIiIKKkx2BIREREREVFSY7AlIiIiIiKipMZgS0REREREREmNwZaIiIiIiIiSGoMtERERERERJTUGWyIiIiIiIkpqDLZERERERESU1BhsiYiIiIiIKKkx2BIREREREVFS+z9Uv+SZX+SgIQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_image_grid({f: view(m) for f, m in zip(filenames, molecules)}, rows=1);" ] }, { "cell_type": "markdown", "id": "6a36e0d6", "metadata": {}, "source": [ "The geometry of the three structures can be optimized with the AMSWorker as follows." ] }, { "cell_type": "code", "execution_count": 3, "id": "e9bcfdf9", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scm.plams import AMSWorker, Settings\n", "\n", "# Create the general settings object and start upt the amsworker\n", "settings = Settings()\n", "settings.input.ForceField.Type = \"UFF\"\n", "worker = AMSWorker(settings)\n", "\n", "stackmol = Molecule()\n", "for i, mol in enumerate(molecules):\n", " results = worker.GeometryOptimization(\"go%i\" % (i), mol)\n", " stackmol += results.get_main_molecule()\n", "\n", "view(stackmol, width=300, height=300)" ] }, { "cell_type": "markdown", "id": "5e533174", "metadata": {}, "source": [ "We may prefer to perform the optimization while constraining the positions of the benzene carbon atoms, so that the benzene rings can be stacked directly on top of one another. The constraints can be passed to the `GeometryOptimization()` call as a settings object. The settings object has the same layout as the constraints passed to a regular `AMSJob`." ] }, { "cell_type": "code", "execution_count": 4, "id": "18f3c1f3", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stackmol = Molecule()\n", "s = Settings()\n", "s.input.ams.Constraints.Atom = [1, 2, 3, 4, 5, 6]\n", "for i, mol in enumerate(molecules):\n", " # Pass the constraints to the optimizer\n", " results = worker.GeometryOptimization(\"constrained%i\" % (i), mol, constraints=s)\n", " stackmol += results.get_main_molecule()\n", "\n", "view(stackmol, width=300, height=300)" ] }, { "cell_type": "markdown", "id": "5a2c4c11", "metadata": {}, "source": [ "If we use contraints designed for one molecule in a geometry optimization for a different molecule, this may result in an error. We can look at the error message to check." ] }, { "cell_type": "code", "execution_count": 5, "id": "31f908b9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Atom index 4 read from Constraints%Atom[4] is out of range.\n" ] } ], "source": [ "from scm.plams import JobError\n", "from scm.plams import from_smiles\n", "from scm.amspipe import AMSPipeError\n", "\n", "results = worker.GeometryOptimization(\"water\", from_smiles(\"O\"), constraints=s)\n", "print(results.get_errormsg())" ] }, { "cell_type": "code", "execution_count": 6, "id": "66ce69d7", "metadata": {}, "outputs": [], "source": [ "worker.stop();" ] }, { "cell_type": "code", "execution_count": null, "id": "77836e3b-7c61-41b6-beaf-e1cc6ca1ca86", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 5 }