diff --git "a/examples/bzo/dft.ipynb" "b/examples/bzo/dft.ipynb" new file mode 100644--- /dev/null +++ "b/examples/bzo/dft.ipynb" @@ -0,0 +1,340 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/pscratch/sd/c/cyrusyc/.conda/mlip-arena/lib/python3.11/site-packages/torchani/aev.py:16: UserWarning: cuaev not installed\n", + " warnings.warn(\"cuaev not installed\")\n", + "\u001b[32m2025-03-18 22:33:32.183\u001b[0m | \u001b[33m\u001b[1mWARNING \u001b[0m | \u001b[36mmlip_arena.models\u001b[0m:\u001b[36m\u001b[0m:\u001b[36m34\u001b[0m - \u001b[33m\u001b[1mNo module named 'deepmd'\u001b[0m\n" + ] + } + ], + "source": [ + "from mlip_arena.tasks import MD, PHONON, OPT\n", + "from mlip_arena.tasks.utils import get_calculator\n", + "from ase.build import bulk\n", + "from ase.io import read\n", + "import numpy as np\n", + "\n", + "atoms = read('BZO_cubic_prim.xyz')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
22:33:35.208 | INFO    | prefect - Starting temporary server on http://127.0.0.1:8224\n",
+       "See https://docs.prefect.io/3.0/manage/self-host#self-host-a-prefect-server for more information on running a dedicated Prefect server.\n",
+       "
\n" + ], + "text/plain": [ + "22:33:35.208 | \u001b[36mINFO\u001b[0m | prefect - Starting temporary server on \u001b[94mhttp://127.0.0.1:8224\u001b[0m\n", + "See \u001b[94mhttps://docs.prefect.io/3.0/manage/self-host#self-host-a-prefect-server\u001b[0m for more information on running a dedicated Prefect server.\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
22:33:41.734 | INFO    | Task run 'OPT: BaO3Zr - <ase.calculators.vasp.vasp.Vasp object at 0x7f582ccbee10>' - Finished in state Cached(type=COMPLETED)\n",
+       "
\n" + ], + "text/plain": [ + "22:33:41.734 | \u001b[36mINFO\u001b[0m | Task run 'OPT: BaO3Zr - ' - Finished in state \u001b[94mCached\u001b[0m(type=COMPLETED)\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
22:33:41.851 | INFO    | Task run 'get_phonopy' - Finished in state Completed()\n",
+       "
\n" + ], + "text/plain": [ + "22:33:41.851 | \u001b[36mINFO\u001b[0m | Task run 'get_phonopy' - Finished in state \u001b[32mCompleted\u001b[0m()\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/pscratch/sd/c/cyrusyc/.conda/mlip-arena/lib/python3.11/site-packages/spglib/spglib.py:115: DeprecationWarning: dict interface (SpglibDataset['std_lattice']) is deprecated.Use attribute interface ({self.__class__.__name__}.{key}) instead\n", + " warnings.warn(\n", + "/pscratch/sd/c/cyrusyc/.conda/mlip-arena/lib/python3.11/site-packages/spglib/spglib.py:115: DeprecationWarning: dict interface (SpglibDataset['std_positions']) is deprecated.Use attribute interface ({self.__class__.__name__}.{key}) instead\n", + " warnings.warn(\n", + "/pscratch/sd/c/cyrusyc/.conda/mlip-arena/lib/python3.11/site-packages/spglib/spglib.py:115: DeprecationWarning: dict interface (SpglibDataset['std_types']) is deprecated.Use attribute interface ({self.__class__.__name__}.{key}) instead\n", + " warnings.warn(\n", + "/pscratch/sd/c/cyrusyc/.conda/mlip-arena/lib/python3.11/site-packages/spglib/spglib.py:115: DeprecationWarning: dict interface (SpglibDataset['number']) is deprecated.Use attribute interface ({self.__class__.__name__}.{key}) instead\n", + " warnings.warn(\n", + "/pscratch/sd/c/cyrusyc/.conda/mlip-arena/lib/python3.11/site-packages/spglib/spglib.py:115: DeprecationWarning: dict interface (SpglibDataset['transformation_matrix']) is deprecated.Use attribute interface ({self.__class__.__name__}.{key}) instead\n", + " warnings.warn(\n", + "/pscratch/sd/c/cyrusyc/.conda/mlip-arena/lib/python3.11/site-packages/spglib/spglib.py:115: DeprecationWarning: dict interface (SpglibDataset['international']) is deprecated.Use attribute interface ({self.__class__.__name__}.{key}) instead\n", + " warnings.warn(\n", + "/pscratch/sd/c/cyrusyc/.conda/mlip-arena/lib/python3.11/site-packages/spglib/spglib.py:115: DeprecationWarning: dict interface (SpglibDataset['std_rotation_matrix']) is deprecated.Use attribute interface ({self.__class__.__name__}.{key}) instead\n", + " warnings.warn(\n" + ] + }, + { + "data": { + "text/html": [ + "
22:38:40.064 | INFO    | Task run 'PHONON: BaO3Zr - <ase.calculators.vasp.vasp.Vasp object at 0x7f582ccbee10>' - Finished in state Completed()\n",
+       "
\n" + ], + "text/plain": [ + "22:38:40.064 | \u001b[36mINFO\u001b[0m | Task run 'PHONON: BaO3Zr - ' - Finished in state \u001b[32mCompleted\u001b[0m()\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from ase.visualize.plot import plot_atoms\n", + "import matplotlib.pyplot as plt\n", + "from ase.io import write\n", + "\n", + "from ase.calculators.vasp import Vasp\n", + "\n", + "replicas = (2, 2, 2)\n", + "\n", + "atoms = read('BZO_cubic_prim.xyz')\n", + "atoms.set_cell(cell=[4.0, 4.0, 4.0], scale_atoms=True)\n", + "atoms.set_constraint()\n", + "\n", + "calc = Vasp(\n", + " kpts=(3, 3, 3),\n", + " xc='PBE',\n", + " encut=500,\n", + " ediff=1e-7,\n", + " ibrion=-1,\n", + " ismear=0,\n", + " sigma=0.01,\n", + " isif=2,\n", + " isym=0,\n", + " nsw=0,\n", + " lreal=False,\n", + " lwave=False,\n", + " lcharg=False,\n", + " lmaxmix=4,\n", + " command='vasp_std',\n", + " directory='pbe',\n", + ")\n", + "\n", + "atoms = OPT(\n", + " atoms=atoms,\n", + " calculator=calc,\n", + " optimizer=\"FIRE2\",\n", + " # filter=\"FrechetCell\",\n", + " criterion=dict(fmax=1e-3),\n", + " symmetry=True,\n", + ")[\"atoms\"]\n", + "\n", + "atoms.set_constraint()\n", + "\n", + "result = PHONON(\n", + " atoms=atoms.copy(),\n", + " calculator=calc,\n", + " supercell_matrix=np.eye(3) * 2,\n", + " distance=0.01,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib import pyplot as plt\n", + "\n", + "phonon = result['phonon']\n", + "phonon.save(settings={'force_constants': True}, filename='pbe/phonopy_params.yaml')\n", + "\n", + "with plt.style.context(\"default\"):\n", + "\n", + "\n", + " phonon.plot_band_structure_and_dos()\n", + " \n", + " plt.savefig('pbe/band_structure.png', dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 -3.852752827221051\n" + ] + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaAAAAGdCAYAAABU0qcqAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAjhBJREFUeJzs3Xd4FNXXwPHvzO6mQQgdQu9FWhCQ3gSpIk2kN1EQEOkgKsUfCNJREBBUihRB6UWkSUd66B2kBQgBkpC6uzPz/rGBF5CSsruzm72f58kDhMnes8lkztw7954raZqmIQiCIAhOJusdgCAIguCZRAISBEEQdCESkCAIgqALkYAEQRAEXYgEJAiCIOhCJCBBEARBFyIBCYIgCLoQCUgQBEHQhVHvAJ6nqiohISH4+/sjSZLe4QiCIAhJpGkajx49IkeOHMjyy/s5LpeAQkJCyJ07t95hCIIgCCl048YNcuXK9dL/d7kE5O/vD9gCT5cunc7RCIIgCEkVGRlJ7ty5n1zPX8blEtDjYbd06dKJBCQIguDGXvcYRUxCEARBEHQhEpAgCIKgC5GABEEQBF2IBCQIgiDowuUmIQj2FxwczOnTp5/5XIkSJQgKCkr2sS86zt2OTen3wBWOFd9bxx3rqt/bpBzr7O9tkmkuJiIiQgO0iIgIvUNJFY4dO6YFBARowDMfNWvWfOHxNWvWTNSxLzrO3Y5N6ffAFY4V31vHHeuq31tX+DkEBARox44de+Hxmpb467ikaa61JXdkZCQBAQFERESIadh2sHjxYjp06EDPnj2pWrXqk8+Lu0PXvfNOyrHie+u4Y131e5uUYx3x/dq7dy+zZs1i0aJFtG/f/j/HQ+Kv4yIBpXKPE9CrThZBEITESsw1JbHXcTEJQRAEQdCFSECCIAiCLkQCEgRBEHQhElAqV6JECWrWrEmJEiX0DkUQhFTAntcUMQlBEARBsKvEXsfFQlQhVQoJCeHkyZOcPXuWy5cv8++//xIREYHVasVqtaJpGkajEZPJRNq0acmTJw8FCxakaNGilClThty5c79yIy0hdVBVlYsXL3Ly5EnOnz/P1atXuXHjBjExMU/OFUmSMJlMGI1GMmXKRN68eSlcuDDFihWjdOnSZM6cWe+34bZEAhLcWmRkJKtXr+avv/7i6NGj3Lh5k9jYWFRFeeY4k48PPmnTYjCZkA0GADRFQVEU4qOiiI+JeeZ4SZbx8fEhMHt2goKCqFu3Li1btiRr1qxOe2+CfV27do0//viD7du3c/LkSULDwjDHxfH8IJCPvz9evr4YjEakhJsQVVFQLBZiIiJQLJZnjjcYjfilSUO+PHmoWLEijRo1omHDhvj4+DjtvbmrJA/B7dq1i4kTJ3LkyBFu377NqlWraNas2ZP/1zSNkSNHMnfuXMLDw6latSqzZs2icOHCiXp9MQQnvIrZbOann35i/vz5nDl7lpjoaDRNQ5JlshUsSL6gIAKLFCEga1YCsmUjXdasBGTNik/atK9+3dhYIu/dI+LuXSJCQ4m4e5e7ly9zLTiYW+fPo1qtAPj6+VGwQAHatGlDnz59xDnqwu7cucOUKVNYuXIlN2/dIj4uDgCTtze5SpQgb5kyZMmf33auJHz4Z8mCydv7pa+paRqxkZFEhIYSGRpKRGgo4bdvE3L+PFePHeP+9euA7QbG39+fN8uWpXv37rRu3dqjetQOW4j6559/snfvXsqVK0eLFi3+k4DGjx/PuHHjWLBgAfnz52f48OGcPHmSM2fOJOqOQCQg+woODqZfv35MmzbNPrWbdBASEsLUqVNZuXIl165fR7FaSZMhAyVq1yZvUBB5S5UiR/HieDnojlOxWLh94QLXT57k2okTnP77b8Jv30Y2GAgMDKRRw4YMHDiQokWLOqR9IfEOHTrElClT2LptG/fDwtA0jWwFClC8Zk3ylC5NnlKlyJo//5NesL3FPnrEzdOnuX7qFFePHuXMjh2YY2IweXlRtEgRWrduzWeffebW17bEXFOcUglBkqRnEpCmaeTIkYOBAwcyaNAgACIiIsiWLRvz58+nTZs2r31NkYDsy50rISxYsIAxY8Zw+coVNFUlW8GClGnQgNJ165KnTBnd7ig1TSPk/HlObt3Kic2buX7iBEgSOXLkoF/fvgwcONCj7nb1FhMTw8iRI/n5l194+OABkixT6K23KF2vHqXq1iVznjy6xWY1m7l86BAnt24leNOmJzcupUuVYuzYsTRs2FC32JLLnpUQ7PoM6OrVq9y5c4e6des++VxAQAAVK1Zk//79L0xA8fHxxMfHPxO44LnCwsIYMmQIy//4g+hHj0ifPTvvDhxIuffeI3Pu3HqHB9huvHIWK0bOYsVo8OmnRISGErxpE7sWLGDIkCEMHzmSRg0aMHXqVPLmzat3uKnW0aNHGThwIHv27sVqsZCvbFmafPUVJevUwS8gQO/wADB6eVG0alWKVq1KyxEjuH3hAodWrWLPkiU0atSIjJky8VG3bnz99dce+czIrrdpd+7cASBbtmzPfD5btmxP/u9548aNIyAg4MlHbhe5yAjOdf36dWrUqEH2wEDmzZ9PnrJl6fHzz/xv717q9+7tMsnnRQKyZqVmp058tXUr/ZYto8Tbb7N6zRryFyhA6dKlOXHihN4hpipbtmwhb758lCtfnr3791OxVSs+37iRQatW8VaLFi6TfJ4nSRI5ihal6eefM/bQITpPm4Z/rlxMmDAB/4AAWrRo4XE34LrPghs2bBgDBgx48u/IyEiRhDxIeHg4nTt3ZsPGjSBJ1OjcmRqdOpHFDXsOkiRRqGJFClWsSGRoKHuXLmXrnDkElS1LlcqVWbJkCXl0HA5yd0ePHqVDhw6cPXeOdJkz8/6IEVRs2RJfNxyqN3l7U6FZMyo0a8aNU6fYMW8eq1euJHOWLHTp3JkZM2bg5eWld5gOZ9ceUPbs2QG4e/fuM5+/e/fuk/97nre3N+nSpXvmQ0j9zGYzH374IVmzZWPd+vVUatWKr3fvpuXw4W6ZfJ6XLmtWGvbty+h9+6jbowcHDh2iQMGCNGnShPDwcL3DcyvXrl2jcuXKlK9Qgas3b9L8iy/4evduanXt6pbJ53m5S5ak4+TJfLllC8Vr1WLu3LkEZMjAiBEjUFVV7/Acyq4JKH/+/GTPnp1t27Y9+VxkZCQHDhygcuXK9mxKSCRXLMWzbNky0mfMyLx58yhRpw5fbdlC23HjSP+SmxR35hcQQNOhQxm1ezeVWrViw8aNZM2WjQkTJugdmstTVZVevXpRsFAhDh87Rr1evRi9dy91Pv4YUyp8XpK9UCG6z5nDoFWryFmyJKNHjyZL1qzs2bNH79CeoWspnqioKC5dugRA2bJlmTJlCrVr1yZjxozkyZOH8ePH8+233z4zDfvEiRNiGrZAVFQUjRs3Ztfu3QQWLkz7CRPI56ZTw5Pr7pUrLB02jEsHDlC8eHG2bt1Kjhw59A7L5QQHB9OwYUPu3LlDuSZNaDF8OAEetAhY0zTO7NjBkqFDeXT/Pq0/+IBFixa5zexKh03D3rFjB7Vr1/7P5zt37sz8+fOfLESdM2cO4eHhVKtWjZkzZ1KkSBG7Bi64l2XLltG1WzfiYmNp0KcP9Xv3xugBY9wvoqoqexcvZuWYMaBpjBk9miFDhugdlktQVZVPP/2UH+fOxdffn3bffkuZ+vX1Dks3sY8esXrsWPYuXUqGjBlZu2YN1apV0zus1xI7ogouwWq10rBhQ7Zu20Zg4cJ0njqVXC40HKinsBs3WDRoEJcOHKBEiRLs27fPo8/5a9euUblKFW6HhFDuvfdo9fXXpM2QQe+wXMLZ3btZNHAgj+7f58OuXZk7d67eIb2SSECC7u7cuUO58uUJuXWLBn360KBPH4/t9byMqqrsXrSIFf/7H2nTpGHf3r0u9bzOWf7880+at2iBZDTScdIkyjRooHdILif20SP+GDWKAytWULZsWfbt2+eya4fEltwCYBtLr1WrFsHBwU5td8+ePRQoWJB79+/Tfc4c3h04UCSfF5BlmZqdOtFv2TJUg4Gyb77J0qVL9Q7Lqf73v//xbpMmBAQGMnT9epF8XsLX358OkybR6uuvCT5+nFy5cnH16lWnx2HPa4pIQKnc6dOn2blzJ6dPn3Zam9OnT6dW7dr4pE/P4DVrKF2vntPadlcFypVj6IYNZCtUiPYdOjyzNi61UlWVJk2aMHLkSIpVr87gtWvJki+f3mG5NEmSqNm5M58uWkS02UyxN95g/fr1To3BntcUkYAEu+rVqxef9e1L/oQLag5RoDPRMgQGMmDlSt5s3JipU6dSPxU/fDebzRQvXpz169fzTs+efPLzz/j6++sdltsoWqUKQ9evJ0POnDRt1ozvvvtO75CSRSQgwW66dOnCrFmzqNiyJX0WLRIPkJPBy8eHLt9/T8O+fdm8eTM1atRIdYsR4+LiKFK0KBcvXqTDpEk0HTrUYdWpU7MsefMyeM0aClWsSP8BA/j222/1DinJRAIS7KJ9+/YsWLCAau3b037CBAwmk94huS1Jkmjcvz/Nhg1j9+7dVKlSJdUkobi4OAoXKcL169f58IcfqPT++3qH5NZ80qal5y+/ULx6db748kvGjBmjd0hJIhKQkGJdu3ZlyZIl1OrShdZjxrjNYjlXV7dHD1qOGMGBAwdeuPbO3ZjNZooVL86tW7f4ePZsyjZqpHdIqYLJx4fuc+dSonZtRowcycSJE/UOKdHElSKVc3Qpns8++4z58+dTrV07Wo4ciSRJDmnHU9X+8EOafv45u3btcsu9Yx5TVZVSpUpx/do1PpwxQ0xMsTOjlxfdZs6kaNWqDP38c2bNmuWwtnQtxeNoYh2Q+/j555/5uHt3yr33Hp2mTBE9HwdaP2UKm77/nsGDB7tlHblGjRrx559/0mnKFN5q0ULvcFItc1wcMzp04FpwMDt37KBq1aq6xCHWAQkOdfToUT7p2ZM8pUvTfvx4kXwcrHH//gQ1bMikyZP5448/9A4nSUaNGsWff/5Jvd69RfJxMC8fH7rPmYN/liy8U78+oaGheof0SqIHJCTZgwcPyJsvH7KPD59v2EA6DyoSqaf4mBgmN2/OvatXOR4cTPHixfUO6bXWr19P02bNeKNmTbr/9JO4UXGSW2fPMqlZM7JmycL1a9ec/n0XPSDBIVRVpVz58sTGxfHJL7+I5ONE3n5+fPLLL5j8/KhcpQpRUVF6h/RKV69epWWrVmTOm5fO330nko8T5SxenC7ffcetmzd555139A7npcQZkcrZuxRPmzZt+PfqVTpOnkyeUqXs8ppC4mXMmZMec+fy6NEjatasqXc4L6WqKpUrV0Y2Guk5b55YZKqDMg0a0HjAALZv384333xjt9cVpXiERLNn2Yzt27fzx4oVVO/QgfLvvWeH6ITkKFihAk2HDePo0aPMmDFD73BeqHv37ty9e5dOU6emih1u3VWDPn0oWq0ao/73P65fv26X1xSleASns1qttGjZkvTZs9Ns2DC9w/F4tbt2JV9QEAMHDyYsLEzvcJ5x+PBh5s2fT4VmzSjtwsM/nkCSJNskIYOBunXr6h3Of4gEJCRKmzZtiAgPp+PkyXinSaN3OB5PNhjoOGUKiqJQz4XW1KiqSqPGjfFLn55WX3+tdzgCtmHbliNGcPHiRZerlCASkPBa27dvZ+WqVVTv2JEilSvrHY6QIFuBArw3dCjHjh1zmaG47t27cy80lPYTJuAXEKB3OEKCKm3aULRaNb4ePdpuQ3H2IBKQ8FoftG5tG3r7/HO9QxGe83gobtDgwcTExOgay8WLF5k3fz5vNW9OqTp1dI1FeNbTQ3GNXKgEkkhAqVxKy2Z8++233A8Lo9WoUWLozQXJBgNtxo4lPj6ejz/+WNdY2rZti9HLi+ZffaVrHMKLZcyZk0b9+nH6zBm2bduW7NcRpXgEp7BaraTPkIEshQoxcNUqUefNhc3v25fgjRu5HRJC5syZnd7+/v37qVqtGo369qVh375Ob19IHHNcHKOqVye9nx/X/v3XYe2IhahCig0ePJjoqCiaffGFSD4u7t2BA1FVlQ4dOujSfqfOnfFNl463P/pIl/aFxPHy8eHdQYO4fu0aixcv1jsckYCEF4uJiWHm7Nm8UbMmhd56S+9whNfInCcP1Tp0YMvWrVy+fNmpba9du5ZLFy/SqF8/MUzrBiq2bEmWfPno26+f3qGIBCS82CeffII5Pp6mYuKB22jw6acYjEan94J69upF+sBAqrVr59R2heQxGI00/fxz7oeFMW3aNF1jEQkolUtO2QxVVfl9xQpKv/MOOd2g4KVgky5LFqp36sShw4d58OCBU9rcs2cPIbdu0aBPH4xeXk5pU0i5MvXrk61QISYkY/M6UYpHeKW4uDi2bNnCsmXLmDFjBjt37mT+/PlcvXo1UV//ww8/EBcTQ83OnR0cqWBv1Tt0QLFaGTJkSKKOv3PnDmvXrmXRokXMmTOHxYsXs3HjRsLDwxP19UOGDMHLz48KzZolP2jB6SRJolbnztwOCeHQoUNJ+lp7luIRs+BSgf379zNnzhwOHz7MjStXeBQTg/qSY30NBjIFBlKyZEkaNGhA7969MRqNzxyTJ29eYiWJkTt2iMkHbmhGx47cCA4mKjLymc+rqsqiRYtYtWoVx48f5+7Nm8RYLC98DQlI4+1Njrx5efPNN+nYseN/1o9ERkaSMXNmqrdvz/ujRjno3QiOEhcVxbDy5alUoQK7du1K9NctXryYDh06sGjRItq3b//CY8QsuFTOarUyZswYArNlo2qVKiyYP5+406dpYjYz2dubbb6+HPLz4zcfHwDm+fiwyMeHT2SZvCEh7Ny0iX79+uHv48O7777LxYsXAThx4gQ3btygZufOIvm4qZqdOxP96BELFiwAbL2cDh06kM7Pj86dO7Nx9WoyXbtGF+BnHx/2+Ppy1M+Pk35+HPHzY6evLz94e9NaVTFdusTvv/1G48aNyRgQQP/+/Z9sAzFs2DAUi4VqOs28E1LGJ21aKrVqxf5//tFtaw/j6w8RXInVaqVTp06sWr6cOEWhpCzzP29vWptMpHtBwnh8h1FalnnTYKC9yQSAqmnsVxRmWSws27CBYhs2UKBgQTJkzIjRZKJiy5ZOfFeCPZWoXZuAbNkYMWIE33//PcePHkUFGhsM9Pb1pY7BgOk1Nxc1nvp7rKax1mplelQU06ZNY+Z331GjTh0OHDxI4UqVyF6okEPfj+A4NTp2ZPevvzJ8+HCmTp3q9PZFD8iNbNu2jSwZM7J06VKaSRL7/Pw44efHx15eL0w+AIGSxEgvLwKf+39ZkqhqNLLI15eQNGkY6+VF+JUrHD10iLylS+Mrhj/dlmwwULRqVUKuX+f80aMM9fLiapo0rPPzo4HR+Nrk8zxfSaK1ycSeNGk46edHN6ORHVu3EhMZSfHq1R30LgRnCCxShPxvvsmiJKwJEpUQPIzVaqV169asXrmSXJLEAh8fahnt33l9qGn0iYtjsdVKyVq1aPPtt6TPnt3u7QiOExMRwcrRo/nnjz+oazDwi48PuR2wE+kJRaFDXByngbo9e9Lws88weXvbvR3B8f7++WdWjhlDSEgI2e30+y6eAaUS4eHh5Mudm5UrV9LLZOJ0mjQOST4AGSSJRb6+rPX15d6ePXxbrx7XTpxwSFuC/YXduMHERo04vWoVP3l7s9nX1yHJB6C0wcARPz9GGY38PXMm01u1IiYiwiFtCY5Vsm5dNE1jypQpTm9bJCAXFhYWRqH8+bl35w5rfX2Z7uNDWidMDGhiNHLax4cSsbFM/+ADLh044PA2hZS5c+kS3zVvjn9oKMd9fOjm5eXwSSQmSWK4tzd7fH0JP3OG71u2JPLePYe2Kdhflrx5yVqgACtXrnR62yIBuaioqCjeKFqUmPBwNvv60sRBvZ6XySRJbPX2prKiMLtzZ64dP+7U9oXEC7txgx/atCF7RAR7vbzI76Bez8u8ZTCw28sLy7//Mqt9e9ETckNBDRrw77VrmM1mp7YrEpCLCipThocPHrDO15eaTk4+j6WVJNZ5exOkKMzq0IEHt27pEofwcrGPHjGrbVvSR0Sw3cuL7E5OPo+9YTCw1cuLR5cvM7dbN1RF0SUOIXlK1qmDYrXy888/O7VdkYBc0NChQ7l85Qo/+fhQJ4XJ57aqMio+ntvqy5amvloaSWKDtzfpYmNZOngwLjZnxeOtHjeOR7dvs0XH5PNYSYOB1V5eXDp8mL/nzdM1FiFp8pUti5efH2vWrHntsaIUTyp28eJFpk6cSGODgU526Pnc1jS+Npu5nYLEkVGS+Mlk4uy+fez77bcUxyTYx7k9e9i7ZAkTjUYK6px8HqtpNNLXZGLD+PHcdXJVbiH5ZFkmd4kSnEpEeR17luJxjbNWeOKdunXx1TTm+vi4VCWChkYjXU0mVv/vf2IozgXEPnrE0oEDqWUy8UnC4mJX8Y23N7mAxQMGiKE4N5K3TBnuOXkSiUhALmTGjBlcu36dGT4+BLrIHe3Tpnp7k8FiYc3YsXqH4vG2zJ5NzL17/OLlhexCNyoAfpLEAqORK8ePc1CHmVVC8uQpVQpzfPyTslzO4HpXOQ82Yfx4CkoSHXSadPA6AZLEEIOB4E2biAgN1Tscj2WJj2f/okV8bDA4fcZbYlUzGmlgMrF7/ny9QxESKXepUgCsWLHCaW265tnrgYKDg7l58yZ97Lx+42WleJKrs8mEl6axf9kyu7yekHTBmzbxKCKCni429Pa83kYj106fFlP43USWfPnw8vNjx44drzzOnqV4RAJyEQMHDsQb2wXengJlmVHe3nYb0ksvSbQ3GNi3cCGK1WqX1xSSZs/8+bxtMlHMYNA7lFdqaDCQ22Ri16+/6h2KkAiyLJM5Tx6uX7/+yuOCgoLYsWMHQUFBKW8zxa8g2MXenTtpbzSS3sXG81+kl8nEg3v3OLd7t96heJy7ly9z+dgxerl48gEwSBI9JYmja9YQHx2tdzhCImQIDHTabrogEpBLOHr0KPGKQiMXffbzvCBZJovJxNWjR/UOxeNcOXIECajvJudKQ6MRi8XCzTNn9A5FSISA7NmJjo11WnsiAbmAVatWAVDODe5qwbadb3lN44YY23e6G6dOUdjLyyk1Ae2hhCzjLctcP3lS71CERAjIkoW4uDintScSkAvYvXs36YE8bnJRASgvy9w4flxURnCyG8eOUSGZVS30YJIkShmN3Dh1Su9QhEQIyJYNq8XitJpwIgG5gHNnzlDBYHDIwtOUluJ5mXKyTGREBOG3b9v1dYWXU6xWbp075zY95ccqaBo3jx3TOwwhEdJlzQqaxrlz5156jCjFk4pcu3aNiPv3KeKg9Rz2KMXzIoUT4n0QEmLX1xVeLurBA8wWC4VcdO3PyxSSZR6IGxW34J0mDcArJyKIUjxuLioqir59+5Ihcwby5c+Hoqr46h1UEvkm9Nas8fE6R+I5LAnfaz+d40gqX8BisegdhpAIhoTedbyTfq9FAnKiAwcOUL16ddJlSMf3339PeK5wGAxkso2Vu5PHq5WsTt4/xJMpCRdx95j/9v9MgKIo4nmhG5ATZlc6ayKCu53LbsdqtTJx4kS++/477t65Cz5Ac6AFUCDhoMUQH+lev5yPT0+Tt7eucXgSk5cXAO7W54wHjEajSxXXFV7s8U2CwUnPGUUCchBVVfn888+ZNn0aljgL5AeGAvWBNM8eq/nCIwfFYe9SPI89SjhRvXzdbfDQfZkSvteP3Kwn8UjT8BY3Km5BTahu8qqflz1L8YgE5ABTpkxh+KjhxDyKgQpANyAIeEkOsBaCY9ccU7b+cSkeezuZMKsuW8GCdn9t4cXSZsyIv78/J+Pjaal3MElwUlXJXqiQ3mEIiaAkIgE9LsVjD+IZkB0tXbqUTFkyMXDgQGJyxMAPwAygLC9NPgAUg5OKitWN7myPKArZcubEN106vUPxGJIkkatMGQ670XkCcEiWyWmHumGC48WEhwOQL18+p7QnEpAdHD58mDx589CuXTseeD+AccACoHwiX6AYxKtw1o0WGB4Ccr35pt5heJzcZcpwWO8gkuCRpnHJbCZPyZJ6hyIkQsTdu0iyTK5cuZzSnkhAKaCqKh9++CEVKlXgRuQNGAYsB97m1T2e5xWxHX/ITRKQVdM4rqpP9g8RnCdPqVLctVgIcZNz5aiioIE4V9xERGgoXt7eyE5aayYSUDIdPnyYbIHZmDdvHtQDfgeakbynamnAUAyWKO6xVmKD1UqMolC0ShW9Q/E4BStUwGgwsMxNtsL4zWolfcaM4hmQm4gIDXXqhBGRgJJIVVU++ugjKlSqQJglDCYBo4AUPgpRPoBtFoWLdr6zdUQpnh8UhfylSpFbDKs4nX+mTAQ1asQPqorq4s+CIjWNX1WVyh06YHCT6t2eLvzOHdKlTfvKY0QpHp2cOnWKbIHZ+Pnnn229nuVAdTu9eB0wpIXZdl7Yae9SPBdVlS0WC9W6dLHL6wlJV71TJy5bLGxTHDNz0l4WWSzEahpV27XTOxQhkR6GhJApU6ZXHiNK8ehg0aJFlHmzDGHx9uv1PMMblGYwV7UQ7cJ3trPMZtL6+/Nm48Z6h+KxCpQvT65ChZjuwsNwqqYxQ1Up8847pM+eXe9whEQwx8Vx/8YN3njjDae1afcEpCgKw4cPJ3/+/Pj6+lKwYEFGjx7t1mU4PvvsMzp27ohaQIVF2K/X87yWEC3BCBetr3ZaUfhBUajWtSsmHx+9w/FYkiRRq0cP1lksbHbRJDTLYuGsxUKtjz7SOxQhkULOnkVTVRo0aOC0Nu2egMaPH8+sWbOYMWMGZ8+eZfz48UyYMIHp06fbuymHs1qtVK1a1Rb7O8AcIKsDG8wB6icw1WJhr4tdWKyaRieLhUx58lC/Vy+9w/F4Fd9/n2KVKvGh1UqEi93cXVFVBlssVGvfnoIVKugdjpBI10+dQpIkmjVr5rQ27Z6A9u3bR9OmTWncuDH58uXj/fffp169ehw8eNDeTTnUzZs3yZE7B/v27YNPga+x1XFztHYgF4eO1jhi7HBhsVcpnolmM8FWK+2nThW9HxcgSRLtJk3ivsHAQBfqMauaRlezmTRZs9Js2DC9wxGS4MbJk/imSUO61ywut2cpHrsnoCpVqrBt2zYuXLgAwPHjx9mzZw8NGzZ84fHx8fFERkY+86G3o0ePUqBIAe5F3IMpQEeStq4nJQygjIJrmsaA+PgUD10+LsUTmIJ5/YcUhVFWK293706+smVTFI9gPxlz5aLZ8OH8bLGwykW2O5hkNrPLYqHtlCn4vGY2leBa/g0OJnfOnK897nEpniA7VLewewL6/PPPadOmDcWKFcNkMlG2bFn69etH+/btX3j8uHHjCAgIePKRO3due4eUJPv37+etKm9hSWOBeUBVHYLIB+pg+NFi4Wudtzs4oyjUj48nV8mSNO7fX9dYhP+q2q4dZRs0oI3ZzN86D9vOt1gYajbzTs+eYo2Ym4mPjubOpUuUK1fOqe3aPQEtX76cxYsXs2TJEo4ePcqCBQuYNGkSCxYseOHxw4YNIyIi4snHjRs37B1Sou3YsYNqtaqhpFdgLrYK1nppBvSCr81mvrZDTyg5TigKtc1m/PLn55NffxVDby5IkiQ6ffcdBStX5l2zma06JaF5Fgvd4uOp0qYN7w0ZoksMQvKd3b0bTVX5+OOPndqupNn5ypY7d24+//xzevfu/eRzY8aMYdGiRa/cZ/yxyMhIAgICiIiIeO1YpD3t2bOHmnVqomZWYTaQzWlNv9p8YBb0MpmY7O2Nj5P2VNlmtdLSbCagcGF6Ll6M/2vWBgj6MsfG8nOPHlzcs4efvbxo76T9dxRNY4LZzBdmM1XbtaP16NHITtpLRrCfhQMHcuLPP4mNjrbL6yX2Om73HlBMTMx/6ggZDAZUF65ddejQIWrVrYWaSbXNdHOV5APQBfgcZqsWSsdHc9DBiw8faRqfxMVRNzaWwLfeos/y5SL5uAEvX18+/uknyjZtSse4OFrGx3PXwb9zF1SV6vHxfGmx0KBPH9p8841IPm5IVRRObtlC2TJlnN623RNQkyZN+Oabb9iwYQP//vsvq1atYsqUKTRv3tzeTdnF6dOnqVKjCkqAYuv5ZNE7ohdoDuoiuJJfo1JMDJ/HxxOXyI5rUkrxbLdaKR4dzXxZ5oPRo+m1eLHYbsGNGL286Dh1Kt1mzmSbnx/FYqL5zWKx+/CtomlMNZspFR3NlWzZ6LtsGe8OHCh2PHVTV48dIzYykg8//DBRx7t0KZ7p06fz/vvv06tXL4oXL86gQYPo0aMHo0ePtndTKRYVFUWlqpWw+lhhFuDKC7YLgDIPtJ4wUTGTMy6Kr+Ljuf6axPK6UjxmTeM3i4WqcdHUiY3ltqZRv29fanTs6LSKuIJ9lW3UiA/GjydCg7ZxcZSKj2GO2UxUChNRmKoyIT6e/HHRDIiPxwx0X7iQQm+9ZZ/ABV2c3LIFg8lEl0SW13LpUjz+/v5MmzaNa9euERsby+XLlxkzZgxeCfvZuwpVVXmz3JtERUXZSus4Z/uLlDECXUD9DR40h29lM/mio3kvLoblFgtXVTVRd7uRmsZOq5Uv4+MJjIuibVwc/5RQYSyoZSVO7/rb4W9FcKxT27cjZTPA93Cmkson5niyx0bxWVwcm61W7icyGYWoKmutVjrGxZIjNpphqpkb72gwEyQviRN//eXgdyI4kqooHFq9mkIFCmDUoWCsx5ao/eCDD7h44SKMANxtq5I8wCBQegGbYONyhXVXbc+G/A1QXjZQFpkASeJ+Qg/pB7OZWOAfSeGqxXbxMfiC0hRoAWqBhNe2alwecYg7ly6JEvpuKiYigsNrV6N2VqAiaBWBOxC9GmattDA9wrZmKIdJoqImU0w24Ad4AfFAFHBSUzioKdxPmFRnzAbWVkATIL3tc1pdjZ1LFlKne3fx7MdNnf77byLu3uX7CRN0ad8jE9DEiRNZsXIFtAPcuaamH9AClBbAfeAcPDoLf59V2HNJgThQ4gArLExjRcsJSgmgOFAMlLz89wyoDXIGA7sXLaLVqFFOfTuCfRz44w+sVgs0feqT2YFPwNoduAmchZBzGmvOKKy/qaCZQbOCZALJG6z5QCsBFLN9WLPx38XYLSF8423O7tpFidq1nfLeBPvauWABafz96dSpky7te1wC2r59O0OGDYEKQO/XHu4+MmFbNJuwcPbJuvgwYBVYmwOZE/E6XqC+p7D/j+W8N3gw3mnSOCBYwVFUVWXHr/OhlmY7J54nY+tB5wHqg4rtI1lKgFzMwM5fF4gE5IbuXbvGud276datW5K+zqVL8biy8PBwGrzbwDbN+hs8I/1mBj4mccnnseZgjo7h0Jo1DgpKcJQL+/Zx/98b8L4TGpNAbalw5u+dhOm4gFxInj2LF2MwGpmQxOE3ly7F48rq1auHxWyxTToQs4tfLhCoJvH3/J9dev2W8F9/z/sZuYABgpzUYD2Q0kjsWrjQSQ0K9hAXFcXepUsJKlOGjBkz6haHxySgn376iUOHDkEPoKDe0biBjhp3L1zm6Lp1ekciJNLVo0c5ve1v1I6K84rn+oD2gcrOhfMJv3PHSY0KKbX9p5+Ij47mhx9+0DUOj0hA4eHh9OrTC4oCL66JKjyvDEjVJdZMHo9V54Kowutpmsaq8WORCxmgvpMbbw+aj8rG775zcsNCcjy6f58ts2fzZtmyVKxYUddYPCIB1atXD4vFYttG2xOe+zwtDFth1bCkf6nWU+PhjRD2LVtm76gEOzu7cydXDhxG7amAs2dEpwW1q8L+5cu4e/mykxsXkuqvGTNQLBaWLl2arK936UoIruaZobcCrz089QkDfiJZCYiCQEPY8N0U4mNi7BuXYDeqqrJqwlikMrI+24cAtAAps8S6yZN0CkBIjPs3brDr1195u3ZtChcunKzXcOlKCK4kJiZGDL2l1McQExHO9p9+0jsS4SWOrF3L7TMX0Hqrznv28zxvULsrBG/8k3+PHdMpCOF11k2ejCxJLF68WO9QgFSegD788EMscRb4Cs8berOXHKC10dg043vuXLqkdzTCcx7dv8/v/xsJtSVwfjHjZzUEuaiBX4cOwuJC24QLNmd27ODw6tW0a9uWrFmz6h0OkIoTUGhoKMtXLIcGQBG9o3FzH4EWqLFgYD8UnXfdFJ61fMRw4pQoGOz8DQv/wwDqcIW7V66wafp0vaMRnhIbGcmiwYPJlCkT8+bN0zucJ1JtAmrfvr2tMGcPvSNJBXxsF5YbJ0+JoTgXcmzjRo5t2Ig6SHlx1QM9FAa6amyeNZNrJ07oHY2QYMWYMUQ9eMC6detcqsq960RiRxcvXmTr31uhJZBD72h0lhn4iKRVQniRUkBbWD9lkhiKcwGP7t9n6VfDoJYE7+gdzXO6gFRIYsHAfmIozgWc2bGDf5Yvp327dlSuXDnFr2fPUjx235I7peyxJXf58uU5cuoIrAb0W+Sb+sSB3MlAzoBiDPh9JSZvb70j8kiapjG3Zw9O7d+GutSFej9Puwh0kajbrTvNhg3TOxqPFfXwIWPr1cOkqoSGhjqt96Pbltx6279/P0eOHoFOiORjbz6gjlS4efYMy4YPt/tOm0LibJ45kxObNqMOc9HkA7ahuE80tv74I0fXr9c7Go+kWCz89MknRD986HJDb4+5XkQp1Lt3b0gDtNU7klSqBGjDNP5ZvpydCxboHY3HObFlC+smTYJugKsXoO4AvAMLBw3gxqlTekfjcVaMHs2lgweZPGmSXYbeHCFVJaDQ0FCOnTgGLbAlIcExGgPtYMXo/3Fuzx69o/EYty9cYF6/PlAT23M9VycBX4GaT2HWxx8See+e3hF5jD1LlrBr4ULatW1L37599Q7npVJVAhoyZAgoQHO9I3EhKSjF80q9gQoaP/X+hHv//mvnFxeeF/XwITM/6oISaIGRmvv85vqAOkEhynyfOZ90F3UFneDSwYMs++orSpQo4ZAFp6IUzwuoqsqyP5ZBFcTMt6elpBTPqxhBG6NhDohlRpeORIaG2rkB4bH46Ghmf/QhEZF3UScqtp1w3Uk2UMcrXDsRzMKB/VEVRe+IUq2Q8+f58aOPCAgI4ODBgw5pQ5TieYEFCxYQFx3nnI24BBt/UKcpPIwJYVr71jy6f1/viFIdc1wcsz7qyrVzx1EnK+57c1UKtNEaRzduZPHQIWKfKQe4e/ky37Vpg6QoHD50CD8/179TSTUJaMw3Y2w7nVbSOxIPkxPUGQphD67zXfs2IgnZkTk2lh8/7sblY4fRpqhQUu+IUqg2MFLjwIoVLB32uUhCdnT3yhWmtW6NEhfH4UOHKFjQPTY9SxUJ6OLFi1y5cgVa4fxS9ALktSWh0HtXmNrmfSLEcFyKxUdH80PXTlw4vN+WfIL0jshO6gMjYP/vy/l14ABR2skOQs6fZ0rLlliioznwzz8UL15c75ASLVUkoHHjxtn+0kjfODxaAVBnK4RFXGdyqxZiX5gUiLx3j+86tOXKySNo36lQTu+I7KwR8D84tHYNP/fuKbb6SIHLhw8ztVUrVLOZo0eOULp0ab1DSpJUkYA2btoIb+C6i/L0ZK9SPImRx5aEwqXbTGjWhDM7dzqh0dTlxqlTfNukETevn0b7QdW/wrWjvAOM1zi5axuTWjbjwc2bekfkdvYtW8Z3rVvjJcucPH7caT0fUYrnKQ8ePCBTlkzQE1v1A0F/USCNkGA/NPviS97u1g1J0mujGvdxZN06fh08EKWAFW28Cq5RMd+xLoE82IBPXFq6z55Lobfe0jsil6dYrawcPZqdCxZQvHhxDh48SNq0afUO6xkeU4rn+++/BxWornckwhNpQZuooXXQWDVmDAsHDsASF6d3VC5LVVXWTpzIvD59sNYyo83ykOQDUAjUeQqx+R7xXbs27FmyRO+IXFrUw4fM6NiRnQsX0qZNG86cOeNyyScp3D4BLVu2DAKBfHpHIjzDgG2x6tdweP1qJjR/j5t2WDeQ2ty/cYPv27dl88wf4FNgFOCjc1DOlh606SpaU5XfvviCeX0/I+rhQ72jcjnn9uxhXIMGXDl0iMmTJrF06VK9Q0oxt05AVquV85fPQy3024pYeLUGoP2kcddymfFNm7Bx2jQUi0XvqHSnqiq7f/2VMfXrcuXKYfge6IjnnsdGYAgwCo5uX8/od97mxObNOgflGuKiolg6bBgzOnRAtljY8fffDBgwQO+w7MKtE9DixYvRLJoYfnsVR5XiSYqioM5X0DqqbJz+Hd82fZebZ87oGJC+Hvd6lg0fjqVePOoSBcSjD5uGoC1ViSkWzpzu3ZnX9zOiw8P1jko35/bsYXSdOuxftow2bdoQevcu1apV0zUmUYonwapVq8BE6p0pZA+OKsWTVCbgE+AXjbvmS4x/713WfPstMREROgfmPOa4OLb++CNjGrzz/72eYYD7DuE7RhbQJmkw0tYb+t87b7N/+XKPKuHz8PZtFg0a9KTX8/fff7N06VKMRqPeoYlSPI8FBwdDIWzdd8E9FEvoDXVV2Tp/DiNqVGXL7NmYU/EkBcVqZd+yZYyqVZ3VE7/F0jDO1uupqHdkLkwCGtl6Q9FlHrJ4yBDGNKjL8b/+StX7UEWHh7N63DhG1ajBodWradu2LaF371KjRg29Q3MIt05At0JvQcqnogvOZgI+Am2FSlzdKNZMGs/ImtXY99tvqWplvKZpBG/axJj6dVgydCiRpcLgNw0GI3o9iZUF+EaD+XAv/TXm9ujBxBZNufjPP3pHZlfm2Fj++uEHRlStyva5c6lauTL/Xr3KkiVLXKLX4yhu+85CQkKwxlqhmN6RCMmWGduD57Yaj34MY8nnn/PnzO+p2aELlVq1Im2GDHpHmCzx0dEcWrOGHQvncefcRaSKEowAiqXeO3eHKw7aDBUOws0fTvNdmzYUeKscNTt2oUz9+hi9vPSOMFke3LrF3qVL2bNoETEREZQqVYrFixdTsqS7F/5LHLdNQCtWrLD9RSQg95cbGAN0hIdLQlgzcRzrJk2gXJP3qNGxE3nLlHGLhax3Ll1i96JF7P9jGeaYWKgqQR/QyovEYzdvgVpegZ1wdfkxrvQ5QprMGajetgNV27YlQw7XLxeuqirn9+xh18KFnNq2DUmWKfHGG3y/ahW1atXSOzyncttKCM2aNWPNxjWwAzdOo04QBqzCtkmfM8rx2MNDYB3IqwyoIQo5SxSjwnvNKVW3LtlcrMrvg1u3OLltG0c3rOPygUPIGQ2o7ynQDNv6NMGxrgArQPpThliNN2rXpmzDRpSoXRv/TK5Tm0vTNG6cOsXJLVs4uHIl92/exDdNGpo3bcrkyZPJnj273iEmWnBwMP369WPatGkEBQW98JjEXsfdNgHlz5+ff33/hflOC01wNgXYDdIoCSleQlVVsufOTYmGDSlVty7533wTg5PHx5++kJzatIkbFy6AJCGVkdBaqLYtB9xzNMi9RQO/grzQgKYoSJJEgaAgSjZooNuNiyUujgv793Ny61ZO//UXD8PCkA0G8ubJw+DBg+nRowey7NaP4V8q1ScgX39f4urEwRdODE5wvt/AMA0O+fhyC1hrtbJG0wi1WvHz8yN3qVLkKlOG3CVLkqdUKTLnzWu3X2pN03gYEsKNkye5fuoUN4KDuXHiBI8iIwkwGGgsSbxtMDDYGs/DdxHnos6kz6DQUYmtJl+2qiprFIXNikKcqpIxc2ZyBQWRu3Rp8pQqRe6SJUmXJYvd2lasVu5evsz1Eye4fuoUt4KDuXH2LGazmXwmE82A3JLEQLOZQYMGMXHiRLu17YpSfQKSvWS0zhp87MTgBOfSwNASWoYaWebj++TTqqZxWFXZarVyRFU5JEncSKiu4OfnR/aCBfHPmZOAbNkIyJqVgKxZSZc1K34BARiMRmSDASQJ1WpFVRRiHz0iMjSUiNBQIu7eJTI0lMiQEO5evsyjyEgAsppMlAcqSBI1DQaqGQyYEp5LjY6PZxRm1I2Av7O/SQIAN4GW8IuPD11NpiefjtU0tikKexSFw5rGEU0jPGGmZcbMmcmcPz/+gYH/OVe8/fyQDQZkoxE0DVVRUCwWoh4+/O+5cusWIZcuYTabASjs5UUFVaWcwUB9g4E3ZPnJM8xK0dFc8vcnLJUvrk3VCchsNuPt7Q1DgRbOjU9wokPAp7DT15carxlqC1NVjqoqRxSF86pKCBAiy4SoKg8TObU7wGgkuyyTU9PIoWkUlGXKGQyUk2VyvKJXdVtVyR0TjdIfaJ34tyfY0XRItxRu+6bF7xUTVjRN419N47CicFRV+VdVCZEkbkkSdxSF6EQsdpWAzCYTgZJETlUlhyTxhixTTpYpazCQ7hXtL7ZY6BAXx4YNG2jUKPVuYJbYBOSWj+/PPC7jYr8edOrljpMQEki/QxGTRHXD67e5zSzL1JNl6r0gUcVrGnc0jQhNwwpYsRVQNyV8pJUkAiUJ32TOtAuUZVoajaxcbsX6AZ5bz00vcWBYBR/LplcmHwBJksgvSeSXZVq94P8faRq3NY3YhHPFgm2xpAnbxTKjJJFNkjAm81x532jkM+DLL7902wSUmEkIieWWCehJCQg3u6Dq4nEpnuq41/crCtgNvU1eKZ6C7S1J5HXwNO6eRhPLb1rhDGJxtLPtByUaeqRJ+ewPf0nC34Hnirck8bGXF5OPH0dVVbechPB0KZ6UJiD3e/fAxYsXbX9xpwuqkDTnQFPh7UT0flxBFYMBo4QtAQnOdQaymSQKu8nF/G2DAaum8ffff+sdiu7c4yf2nCtXrtiGOdxzobyQGOfAR4ZibnJR8ZIk3jDKcFbvSDyPfBoqau5xngCUS7ipWrt2rc6R6M99fmpPuX37tq2WllsOIAqJcg7KGGQMblAB4bFKGDCe0jsKD6OBdA7Ky+7RUwbIJEnklCT27dundyi6c8sEZDabxWK/xMoMfITbDVeaTkNF3OeiAlBOlrFeB1JvYW/Xc9v2/KecmwzVPvaWLHPl8aMEN1OiRAlq1qxJiRIpf9jpln0Iq9WKm12b9JMZt1wrpT6APG4y/PZYHlkGDYjA87bV1st92x953KinDJBXlomPidE7jGQJCgpix44ddnkt9/oNT2CxWEQCSuVUC/i+/jCX8iTeeD2j8DAJ3+vkTqHXi69kKy3l6dwyAWmaJtZapHKa6n4n55N7Is/ZuFN/Cd9rd7sflSFVb6yXWO72Ow5g26BJ3DykarLJ/ToSTx79eOsZhYdJeBYc52YX83hNc8s1QPbmlt8Bo9FoW84upFqyLzx0s4vKk3j99I3Do6Sx/fFQ3yiS7CGk6p1OE0skoNQuDJib8KcbUQvDMdW9xrKCVRVjAJBe70g8SF6QZAhORA03V3JYUciaK5feYSRLcHAwtWrVIjg4OMWv5ZYJKEOGDLb9P9zrBlkfj0vxuFsCegMOSO41znpIU1BEGR7n8gZDXjjiRg/0zZrGaVVNcRkbvTxdiiel3DIB5cuXz1YlMErvSASHKQZ3LRp33eTComkahzQF7Q29I/E81lLwjxvN/DilqliB+vXr6x2K7twyARUqVMj2l3v6xiE4UDHbHwfdJAH9q2mEW3kSt+BExeCcVSXaTZ4ZHlQUJKBFC7GXjFsmoGLFEn7L7+sbh+BAOcCYGxZYLXpHkii/WizI3kBZvSPxQJVts7GXJXLfJ73Ns1jIlCEDGTNm1DsU3bnlNIzSpUvb/iJ6QK/npqV4kMD6AayeYiVEVV+5IdzT7qkqF1SVkIR9XUI0jduqyi0gXJaxShJWTUPDdvKbAP+EDehySBKBsmz7U5IoKMvklKTXbgdh0TR+UC2oTbDVKBScKwdIleC7w2a6Go2J2r5D0zSuaBr/qqrtPEn487amESJJREvSk72jJP5/P6BMqkoOIIcsEyhJ5JAkcsgyxWSZgES0e0xROKiqfN6jR8res47sWYrHLXdEBZCMEvQEOjovNsHJosDQCEZoXozw/u/imlBV5UjCLqiHVZXDksQty//3mLxMJgIyZSIge3b8c+TAN10625bcCdNfVUVBtVqJffSIR7dv8+juXcLv3SMu/v9XIGU2GikPlE/Y8bK8wfCfpLTCYuH9uDhYBBR22HdDeJW9wAD4x8+Pis/VhdM0jcuaxhFFsZ0rwFFVJeKpmXN+fn4EZM5MusBA/LNnt23J/Xj7dkC1WrFaLEQ/fEhUSAgRd+8S8eAB1qdeo0DCVtzlE3bRfdNg+E9S+ig2ll9VlYjoaHx8Um+9Jl13RL116xZDhw7lzz//JCYmhkKFCjFv3jzKly9vtzaMXkasYe7R5RaSKS0ojeCHdRaGaF54AYdUlXVWK6s1jdMJySZNmjTkLlWK4mXKUL9UKQKLFCEgWzZ806VL1mZ2cVFRRNy9y93Ll7l+6hQ3jh9n//HjRISHA5DPZKIZ8J7RSFVZZqpixlASFJF89FMJjNnguwdmlhh8idE0tikK66xW1mgaoQnDc5mzZiVnUBDVS5cmT8mSZMmfn4CsWfHyTXrhJ1VViQkPJ/z2bULOn+f6iRMcPn6c1WfOEB8biwS8ZTLRVJJ4z2gkK7DIaqV6nTqpOvkkhd0T0MOHD6latSq1a9fmzz//JEuWLFy8eNE2ddqOAtIGcP+GeAiU6n0A99ZoVIyJ4bYsc89qJa2/P2/UrUuXWrXIGxRE5jx5Urxr6tN80qbFJ21ashUsSOl69QDbXXT4nTtcP3GCs7t2sWDTJqbdv4+fwUCMokIQtlII4rqiDwNY28DS76z8q8VyTFWJU1Wy5cpFyYYNKVa1KrlLlcI/Uya7NSnLMmkzZiRtxozkKlGCtxImFaiKwt0rV/j32DFOb93K/3bu5IuYGNIajZiB8uXLu+1uqPZm9yG4zz//nL1797J79+5kfX1iu25Vq1Zl35l98FdyIxVcWhiwBuTVBtRQhUy5chHUqBGl6tYl/5tvYtB5Fbmmadw4dYqTW7YQ/Ncmbp+/gBxgQH1XgRaAe64xdE/ngRUgbZLBrJGvbBBl6jegVN26ZCtYUO/osMTFcWH/fk5u3crxTZt4dP8+3r6+vNuoEVOmTCFPnjx6h2h3iX6UYu8E9MYbb1C/fn1u3rzJzp07yZkzJ7169eLjj1+8J0B8fDzxT425R0ZGkjt37tcGPmTIECZOnAjrgSz2fAeCbjTgGLAC2CFhNJqo0LQ5NTp2JHfJkjoH92qhV6+yZ8kS9i1fSlxEFFJlCa2lBlVwv0qZ7iAe2A7SHwa0Uwr+2TJTo30nqrRpQ0DWrHpH91KapnFx/352LVrE8U2bAChapAijRo2idevWOkdnP7oloMdjmwMGDKBVq1YcOnSIvn37Mnv2bDp37vyf40eNGsXXX3/9n8+/LvC9e/dSrVo1mARUt1v4qU8YsApojmvPhDsM0g8y2hmVzAXyUKtjV95q0QK/gAC9I0sSc1wcR9etY8ev87l54jRyHgPqJwq8jajgbg9WYC3IPxlQ7ysUrlqZWh07U7JuXd17xUkVfvcu+3/7jV2//sqjsDAyZ8nCjOnTXT4RBQcH069fP6ZNm/bSag66JSAvLy/Kly//zHazn332GYcOHWL//v3/OT65PSBVVTF4G6ALbrnhmtOcAzoDC3DNRZLnQPpBQjuokSeoFE0GDKZY9ep2faajl3+Dg1k/bQrnduxCKi6j9Vahgt5RuSkV2AbyjwbUmyoVmjWlwad9XGKILaUUi4XgTZtYN3EiYdevkydvXub98gtvv/223qG90OLFi+nQoQOLFi2iffv2LzwmsQnI7k/BAgMDeeONZ+uRFC9enOvXr7/weG9vb9KlS/fMR2LIskzGgIxwNsUhC3q4AXwpQWfIfD8PH8+ezeBVayleo0aqSD4A+YKC+HT+Qvr+9hu5vUvApyD1kW03BULiHQC5qwG+gmKFqzFs40Y6T52WKpIPgMFkolyTJgzfvp2248bxMDqaOnXrUrp0aU6dOqV3eA5l9wRUtWpVzp8//8znLly4QN68ee3dFMWKFoOU18MTnEkBFoPUXibdqcy0nzCBr/7aRpkGDVJN4nle4UqVGLxqLR//+COZH+SBrsD3PLWBkPBCEcBI4DPInaYU/ZYvp9cvC8hZvLjekTmEwWikatu2fL17N02HDOHClSuUCQqiV69eqXb3VLsnoP79+/PPP/8wduxYLl26xJIlS5gzZw69e/e2d1PUrFkTwoFbdn9pwRGugdRDhukStTt+yKi/d1H5gw/cbuw+OSRJokz9+ny1aStNh3yO4XcjcicDnNQ7Mhe1C+S2Brz3paHj5MkM+mMVhd56S++onMLL15d3evbk6927KduoEbNmzSJnrlycOHFC79Dszu4JqEKFCqxatYqlS5dSsmRJRo8ezbRp0146VpgSn376qe3BbvJmfHsGVyjF87jX01Em46Oc9P/9d1p89VWyFv+5O4PRyDuffMLnG/4kZ/ri0B3RG3ra417PYChWpgbDt2ynYsuWqbZ3/CppM2ak6/TpfDR7No9iYylbrpxL9IZEKZ6nZM6amfu578MsJwQnJN0DkL6Q0YI13u7WjXcHDvTIxPMiitXK9rlzWTdlMuTSUCcqkFvvqHR0EuTPDZjMPrQeNZoKzZt7ZOJ5kagHD1g+YgRH168nT968HDl8mMyZXXdaq26TEJyt7tt1IRh4pHckwn9csD089r2ejn6//eaxvZ6XMRiNvNOzJ8M2bCQDOZE/NMBBvaPSyQaQekrkyVua4Vu281aLFiL5PCVtxox8OGMGXadPJ+TOHfLlz8+BAwf0DivF3D4B9e/f3zZF878zvAU9bQPpY5nAzEUYtm4jhSpW1DsilxVYpAhDV6+jcFBl6CfBMjxnt18r8B3wP6jYvBV9l/xG+mzZ9I7KZZVr0oRBK1diTJOGqtWr8+OPP+odUoq4fQKqWLEi3mm8YZfekQiA7WZgDvAFBNVtyMDfV5IhRw69o3J5fgEB9J63gLc//AimAGMBs95ROVgkSAMkpGUy748aRfvx4zG9oOq58KxcJUrw+YYN5C1dmp49e9K1a1e9Q0o2t09AAJXKV4I92O6mBP0owBjgF4kmgwfz4fQZYsgtCWSDgRZffknHyZOR/zQiDZRT7+SE+yB/YsD7XBo+Xfgrtbp0EUNuSeCfOTOfLV1KlTZtmD9/PnXq1NE7pGRJFQmoZ8+eEAvse+2hnicMmJvwpyNZgZES0iaZLtOmUb93b3FBSaaKLVvS59dFGE+ZkPrJEK13RHYWCnJPA2mi0jNoxWqKVq2qd0RuyejlRZuxY3l30CC2b99OtWrVnDJDLjg4mFq1ahEcHJzi10oVCah169b4+vvCH3pH4oLCgJ9wbAKyAiMk5B0y3X6YSfmmTR3YmGcoXKkSfX5dgumiD1J/GWL0jshO7oHcy4C/JTMDlq8ke6FCekfk1iRJosGnn9L8yy/Zu3cvVapUcXgSOn36NDt37uT06ZRXAUgVCQig3Qft4ABwU+9IPIwCjAZpp0S3GTMJatBA74hSjQLlyvHZoiWYLnkjDUoFw3EPQP7UQFprJvov+4MsDqiO4qnqfPwxLYcP58CBA241HJdqEtCECRNsZe9X6h2Jh5kC0maJrtO+p0z9+npHk+rkCwqi9/yFGM6YkL6QbQnfHUWD/JkBv5gA+i1ZRubcnrzgyTFqd+vGe0OGsGPHDlokbI7n6lJNAsqYMSPlgsrBatz/TtFdrAD+gDbfjOXNd9/VO5pUq2CFCvT4cS7s12Cm3tEkgwp8LWEM8eKzX5eSNX9+vSNKter16kWd7t1ZtWoV48aN0zuc10o1CQhg/Pjxtge22/SOxIU4qhTPEWCKRI3Onanatq2dX1x4XvEaNWjx5VewCNiodzRJNBfYBV2/n0GOokX1jibVazp0KG/UrMlXw4fz11/23zJalOJ5hUxZMvEg0wPb/jdiEpZjhIDcxUDBkhX4dMEijygm6go0TWPRkMEcXLMCbZYGrr1JrM1W4Et4b8gQ6vXqpXc0HiM2MpLxTZrw6O5dLpw/7/Rtvz2mFM/z+vftb9sjXkzJdoxokAcZSB+QnW4zZonk40SSJNFmzDfkKVkaeagBQvWO6DXOgzRa5s333uWdnj31jsaj+KZLR89588BgoHyFCpjNrrmqOdUloC+++AL/9P4wA9vYs2BfU8Fwx0TPn+aRNkMGvaPxOCZvb3rMnktaY0akkbLrnuNxIH9pIEehonQYP1GsCdNBtgIF+GjWLMLu3aOpiy6NSHUJSJZlJn47Ea4Am/WOJpXZB6yDVsNHEVikiN7ReKx0WbPSefI0tKOq6876nAlSqMyH3/8gqmHoqHiNGtTp3p2//vqLtWvX6h3Of6S6BATQo0cPsmbPapsxZNE7mlQiCuRxBopWr0rl1q31jsbjFa1alart2yHNkCFE72iecwxYDu8NHkq2AgX0jsbjNe7fn8x589K+Qwfi4lxrinCqTEAAc2bPgbvYpmV7MnuV4pkGxmgv2n87QQynuIjmw74gXcasSKNdaCguDuRvDOR7syy13bhIZmpi8vGh05QpREdF0bx58xS/nijFkwhNmzalYKGCtotvailjkhz2KMWTMPT2/vCRZMyZ0z5xCSnmkzYtnSZMdq2huISht44TJyMbDHpHIyTI/+abdhuKE6V4EmnB/AUQie0CLCSPBeRJBopUqyKG3lxQ0apVqdquLdJMGcJ1DuYStqG3QUPE0JsLaty/P5ny5KGLC/VMU3UCqlq1KvXr1YclwEm9o3FTq0ENUWk1YpQYenNR7w4chAlv29o3HUmzJDLmzkmtLl30DUR4IZOPDy2++oqHDx7w7bff6h0OkMoTEMDq1avxTeMLoxAlepIqBuRfDLzVormY9ebC/DNl4p3unyD9LsEdnYIIBm2PxnuDhmIwmXQKQnidUnXrki8oiDHffIPVqv8Gaqk+Afn4+PDb4t/gFrbnQZ4mJaV4lgKPJN7tP8C+MQl29/ZHH+GbLsC2G62zaSD9IJOjRDFRE9DFSZJEsy++IDoqioEDBybrNexZiifVJyCA9957zzYUtxjPG4rLDHxM0hNQOEiLZWp26kzGXLnsH5dgV95p0tD4s/7wJ7Y1cM60B7QTKs2HfoEse8Qlxa0Veust3qhVi9lz5hATk/QZWkFBQezYsYOgoKAUx+IxZ8vq1avxS+snhuISazGY8Bb1u9xI1bZtSZ8zEH524rM6DeQ5BgpVfoti1as7r10hRZoOHYo5Pp5PP/1U1zg8JgH5+PiwdNFS21DcNL2jcXHxIK81ULV1W/wzZdI7GiGRjF5e1O3WA3YA95zU6ElQLyjU+0Rswe5OchYvzhs1arD899+dso33y3hMAgLbUFznTp1hFba9bFKjSOAQsBzbrKi5wC/YyvhvBq7z+kWL20ENV6jWvr0jIxUcoGKLFhhNXrDmNQdq2CYs7MA2S3QetudH87E9+9sL3E9EgysgY56covfjhmp07kx0VBQLFug3fdLjShnPnz+f4OBgjk86DvmAcnpHlEKxwBbgHzCdAstd26dNEvgZbJvExiggSRCbkHgMvqAVBbU08C7w3M7I0gqZQlUrkq1gQae9DcE+fNOlo2KzFuxfvRy1i/Lsb/hdYANIx8BwFqyPEr7GAD4SmCQJs6YRq0J8wrlizAjWN4DyQCMg4KnXewjSNomaQ7qIZz9u6I2aNUkfGMg333xD1ySsDQoODqZfv35MmzYtxc+BPC4BAfzzzz8E5gwkfEg4/Ark0DuiZLgGrADDWlBjoaJJphIGyvsYKCfLFJFlZEniqKJQLiaGI75+5JEkjqoqRxSFw6cUtp1UiFgIcjlQWwHVgcugnVSpNbuzzm9QSK7qHTqwd+lS2A3UAg6B9Aew25ZoassGKkgGyvnazpUczyUPTdP4V9Ns50mUyoEDCnv2Kqg/gFofeB8oDqwDWTZS8f33nf0WBTuQDQZqdurE2okTuXjxIoULF07U1z1dCUEkoGTw8fHh4D8HKV6qOMoAxTZE5ad3VIkUCvJ4UPdAeiN8InvRI42JfIm4A80sy9STZeol7OETr2n8YbXy/QkzB4+oGDKBUgD8s2WmZN26jn4ngoPkKlGCvOWCuDbvOMaZGtbrUMQk0dfkRQeTCf/XPKuRJIn8kkR+WeZxaglVVX62WJixyULIeg1DCVBDZco3eU9sy+HGKn3wAesmT6Zfv35s2LDB6e17bL+5cOHCrFi2wvZMZCSg6B3Ra2jAOjB8AJn/kVjg48Mdn7SM8/ZOVPJ5EW9Jor3JxAGfNBzz86NRpAEOQRr/9MRGRto3fsFp4mNi8PFJA+c1yt+W2eXry1nvNPT08npt8nmZrLLMMG9vrvukYY2vL/nPS0j3VIxe3igusKBRSB7/TJkoU78+O3ft0qV9j01AYCtYOvyL4bAL+BbXqSj8vDCQ+wFjoL3VyDmfNHQymfC246yjIIOBNd6+LPbxIe7qVca+/TbHHbCfvOBYlw8fZny9elzbv5+p3t7s8fajutFotxlqBkniPaORkz5pGGgysX/pUqY2a8adS5fs8vqC85WuV4/oqCgOHTrk9LY9OgEB/O9//6NHjx6wFpiMrafhSm6AsStkPAzrfH1Z4ONLBgdNd5UkiXYmE2d9fKgVHc3cHj3YMW+eQ9oS7C940yamt2lDgbt3OeHrSz8vLwwOOld8JIkJPj7s9fXFdP48U5s1499jxxzSluBYJWrVQpJlpk6d6vS2PT4BAcyePZuOHTvCH8B3uE4SugaGjyDvA4mj3ml415j0R3aBksRILy8Ck3Ahyi7LrPb2ZrDJxB9ff81fP/yQ5HYF5zq8Zg2/9OxJC0lip7c3hZ00K62SwcBBb2/KxMczo00bLh086JR2BfvxCwigYIUKbN22LVHHi1I8DrBw4UJat25tWwMxCf2H4+6AsRcUjJbY5+1H7mReUAJlmVHe3gQm8eslSWK8tzcjvbxYN3EiOxcuTFb7guOd3LqVhf3708FoZIm3N15OXhCaXpLY4u1NJVXlxy5duHHqlFPbF1Ku9DvvEBYWxp07r69mK0rxOMhvv/1Gp06dbD2hseg3McEChgEQGC6x3cuPrDqtsZASek/9TSZ+HzGCC/v26RKH8HJ3L19mXs+eNDUY+Nnb22FDbq/jJ0ms9famhMXCj507Ex0erkscQvKUeucdNFXl+++/d2q7IgE9Z8GCBbZnQuuAwUCUDkHMB+0KrPHyJafOC/wkSWKStzfVTSaWDBxIfHS0rvEI/09VFBYPGEAuYJG3N0adS+H4SxKrvbxQw8NZMWqUrrEISZMlb178M2Xi77//dmq7IgG9wOzZs/n666/hH6ArcMOJjV8A6Rf40uRFWRfZ0liWJOZ5eRF99y6rx43TOxwhwd+//MLV48dZYDTi5yJ12HLKMt+bTBxcvZqTW7fqHY6QBHmDgrh48aJT2xQJ6CVGjBjBhrUbMIYaoTO2+mqOZgHDSChukPnKy8suL3lbVRkVH8/tFBYcLCjLjDeZ2L1oEefFUJzu7l6+zIYJE+hrMlEtGZNTHKmT0Ugjk4llQ4aIoTg3krd0acIjIl5bnDQ4OJhatWoRHByc4jZFAnqFRo0aceHMBTL6ZoTPgGU4dobcFlCuwEKTj90eJN/WNL42m7mtpTzw3iYTlUwmNowfb4fIhJTY9P33ZNM0vvH21juU/5AkiTleXpgjItg5f77e4QiJlLtUKRSrlX2vucF8uhRPSokE9Br58+fn1o1blCtbDqYAY7AVAHUAw3KobTJQzkWG3p4nSxJDDAauHD8uZjrp6FFYGMc2bKCvweAyQ2/PyynLdJRl9v/6K4rFonc4QiLkKVkSgDVrXldK3X5EAkoEHx8fDh8+zEcffQQbgTbAUTs3cg6Us9DHYLLzC9tXE6ORHAlDcYI+9i9fjkFV6Wpy7XOlp8nEw/v3OSGeBbmFdFmzkjZjRvbv3++0NkUCSoK5c+eyedNm0samhZ7Y1gvZqze0ArIbJZq42Hj+84ySRE9J4siqVcREROgdjsdRFYV9CxfS1mAgo4v2fh4rYzBQ2cuLPWIYzm1kyp07UWuB7EUkoCR65513eBj2kObNm9s2tbNHb0gFw2boLpt0n0qbGB+ZTMTHx3MqkSunBfu5euwYYXfu0N3Fez+PfSLLnD9wgMh7ztqiVUiJ9IGBhDvxxlIkoGQwGo2sXLny2d7QRCC5P7froMRBDQc8+0lOKZ7XyS7LFPTy4vqJE3Z7TSFxrp84gbcsU95NNoCrnnBOi2eG7iEgWzZiYl89rCNK8biIZ3pDK4Fm2LbBjkviC52z/fGmIxJQMkvxvE4FVeWGHaZhCklz/eRJShmNmNygpwyQT5JIbzRy/eRJvUMREiEga1bM8fGvPEaU4nEhj3tDJ4+fpFTBUjALaA6sAhK7Tco5yG2SHFbl2hHKGQzcPHsWVXH1jZRSl1vHjlHBDlPqnUWSJMpJEjdEb9ktBGTNimK1Eumk/cBEArKTkiVLcuLECf7e/jd50uWx7S/0AbCN164dks9CRc01p16/TDlZJj4+nrtXrugdiscwx8Zy+9o1yrnJ8Ntj5SWJW8eP6x2GkAj+mTMDcPbsWae0515nshuoVasW165e47fffiOTORN8AbTCtoj1+bpyMcDfYLgIOdyo9wM8eaYU/fChzpF4jpiICDRNs/twqqMFShJRYoddt2BKWNgc7aSaj+51JruR1q1bExYaxg8//EAucsFUoCEwDtgE/A9oAHwOxIOvgxKQvUrxPO9xvJa4pD7wEpLr8ffaV+c4ksoXMJvNaG40dOip5IRlIPGveA4kSvG4kV69enHj+g22b9tO9ozZbVW2R2KrLfchtskLmRzXvj1L8TztcbrU7JzYhJd7fAF3r76yLV6RfNyDnDARymw2v/QYe5bice1Vj6nA9u3bGTJkCEeCj9j2F6qEbUiuMvD4sY8XxLvZL+jjfo/Jx0fXODzJ4+ERd+tzxgFeJhOSmw0ze6LHN5QmJ60zEwnIQQ4fPkyHDh04f+E8pAHaYZsdl/O/x6rp4N5t90pAYQkJ09ffX+dIPIdPwvf6npvdrIRpGr5p0ugdhpAIitU2ddfHSTeWYgjOzq5evUrFihWpULEC52+dh77ABuBTXph8AJRicFB2r+nMRxUFo8FAtkKF9A7FY/j6+5MlMJBjbjb1/YimkbNUKb3DEBLBmjD05uvrnCeNIgHZSVhYGA0aNKBA4QIcPH4QugBrgLbA624misFls0aUG93ZHlEUchYp8mRYSHCOXGXLcljvIJLoMJCrdGm9wxAS4VFYGABFixZ1SnsiAdnB4MGDyZojK39t+ev/F6H2ANIm8gWKgQoEO+DO1hGleAAOyTK57LASWkiaPKVKcUxVUd3kZiVEVblrsZBH9IDcQmRoKLLRSMaMGV96jD1L8YhnQClw9uxZ6tWvx80bN6E60A/IlYwXKgCyEfarKtXsG+KTUjz2FKFpnLNYaCUuKk6Xu1QpohSF06pKKRfdN+pp+xNuqh7vNSO4tojQULxfsxvz41I89iB6QMk0ePBgSpQuwc2HN21reiaSvOQDYAS1OsxV3WOtxEKLBSSJknXq6B2KxylYvjz+6dLxi5ts8vaLopCneHEy5HzJA1DBpUSEhjrt+Q+IBJRk58+fJ3fe3EyaNAmtigbLgfqkfHHG+3DRorHDxR8wa5rGDFWldP36pM+WTe9wPI7Jx4dK7drxi6oS7eI3K1dVlT8tFqp16SKmYLuJ8Nu3SR8Q4LT2RAJKgnHjxlG8ZHFuPkjo9UzAfotIy4EhF8ywvnwBmCvYoShcsFio3qmT3qF4rKrt2/NIVfnNxXtBP1os+KZJQ/n33tM7FCGRHty8SdasWZ3WnsMT0LfffoskSfTr18/RTTmMqqo0a9aML774Aq2cHXs9T5NAaQ2rrQpX7VhdwN6leKZYrQTmz0/hSpXs8npC0mXOnZs3atRgmqqiuGgvKFLT+ElVqdi6NV5OHNIRki/q4UMiQkMpX778K49zm1I8hw4d4scff6S0G0/BjIyMpEjRIqxZswY6Yqvp5qjSOY1BygQfmuPs9izInqV4VlgsrLdYqN+vnxhS0Vn9zz7jtNXKFBftBQ2MjyfaaKR2t256hyIk0uNNA999991XHmfPUjwOS0BRUVG0b9+euXPnkiFDBkc141AnTpwgR+4cXP73MozCtpjUkROP0oAyHHZYFH50sQvLPVXlE6uVMu+8QzkxpKK7AuXKUbtbN76yWDjrYs8NN1ut/GSx0Gz4cDKKyQdu48bJk8gGA3WcOLnIYQmod+/eNG7cmLp16zqqCYdatGgRZcuXJdoQDXOwVbJ2hkpAUxhgiedfFyr0+anZTJyvL62/+Ub0flzEu4MGkTFXLjpbLC4zFBehaXxotVKscmWqtmundzhCElw7cYJ06dJhNDpvdY5DEtBvv/3G0aNHGTdu3GuPjY+PJzIy8pkPvY0bN46OnTuiFlThVyDl662S5jMwZ4SW5liXqI4w02xmucXC+2PGkM6JDyiFV/Py8aHd1KkctloZEh+v+xR+q6bROT6e+wYD7SZOFDcqbuZacDAFCxRwapt2T0A3btygb9++LF68OFEF7caNG0dAQMCTj9y5c9s7pCQZMWIEX3z5ha0n8iOQRYcg0oIyCY4bVN6NjyVWxwvLIouF3vHx1P7wQzH05oIKlCvH+6NGMcViYcwrSug7mqppdIuPZ72i0PmHH8iYK7mL4gQ9hN+5Q/idO1StWtWp7do9AR05coTQ0FDefPNNjEYjRqORnTt38v3332M0GlGeG68eNmwYERERTz5u3Lhh75ASbciQIYweMxpqYJtiredOA8VBmQa7UagfH8ujZCahlJTimWs20ykujsqtWtFi+HBxR+uianbuzLuDBjHCbOYrHXpCFk2jQ3w8i6xWOk6dSimxQNntnNy6FRI5W9mepXgkzc5n66NHj7h27dozn+vatSvFihVj6NChlHxNSY7IyEgCAgKIiIggXbp09gztlYYPH86Yb8ZAHeBrXKdIUTAY+kExq8xvJh9KOqH8SpymMSI+nokWCzU6duT9r79GdrNtoD3R1jlzWD12LO1NJqZ7e5PBCTcMN1SVLmYzu1SVztOnU7ZRI4e3KdjfzM6duX3yJA/u37fL6yX2Om73y6y/v/9/kkyaNGnIlCnTa5OPXr755htb8qmJayUfgCBQ5sK5L1TK3ohhlMmLoV5eGB10cTmgKHSyWLiiaTT74gvqfPyx6Pm4ibrduxOQLRu/DxvG9rg45ppMNHbQA2VN0/jZYqG/1YpXxoz0+u47ilSp4pC2BMeKj47m/L59NGnc2Olte/xt7Zw5c/hqxFe2HUrH4FrJ57HCoCwGaycYbjFTPj6GfxTFrkMt9zWNIXFxVI6JITpvXob++Sd1u3cXycfNVGjalGHbthHw1lu8GxtL57hYbtp5NuVZReGduFg+jo+nZIsWDNu2TSQfN3Zu924Ui4U+ffo4vW2nJKAdO3Ywbdo0ZzSVJAcOHOCT3p9ASeBbwDm70CaPF9ALtF/gVA6VyjExlI2P4ReLhZgUJKJDikLnuFgCY6KYrFnQjBJl3nuPwMKF7Re74FQZAgOp+MEHACw2WMkbE02zuBi2Wq3JvmmxaBorLBZqxsXwRkwMO/1sz3JrdOqErxOHygX7O7FlCz5+frz99ttOb9tje0BhYWHUqlMLLaNmm3DgLvuqvQHKUmAynCyn0i0+juyxUXSLi2OW2cxBRSHuqYvM06V4NE3jqqryh8XCsPh4guKieSsmhiUZrFh6gboeqKNxYOVyVBdagyQk3T8rfkcqaUDZCOoQ2JBT4Z3YWArHRzMwLo4lFgvnX7GvkEXTOK4o/GKx0Dsujlxx0bwfF8feYgr8D6xrQM5k4J8//nDyOxPsKfbRI45u2EDFChUS/TX2LMXjigNODqeqKmXLlSXOEgeTAXcr1GAAqoFaDbgFj1bBwr0W5v0LWjwYJChgkkiPhFWFY1aVxaqFUE0jMmESojEjWEsDTcBamf+v8NAC7ve4yfm9eylevboe705IodCrVzm/ey+MBNIALcDaHDgOl1drTD9qwXLXVmnDV4aCRpk0GngjEYfGIwkuWVQsGiCBKSdYKgLNQXmqY6y+p/DP8uU0HTIE7zRpnP9GhRQ7uGoVlvh4Jk2alOiveboUT1AKN6X0yATUoEEDbl6/CeOAInpHk0I5gU/B+ikQD1wC5RxcvKJBnAb3gANwqapme6/FgOJgfVk9uzIgFzKw69cFIgG5qT2LFyMHGFDrPLXkQQKCbB8WgAjgPMSeg1O3VDBj+w8vbMsPcgPFgSJg8XtJQ83BvCCWQ6tXU619e0e9HcFBNE1j5/z55MyR47UFSB3F4xLQl19+yZYtW+AjwPlDno7lja1qw9PT888BB4APsSWf15FAbalwauI2HoaEkCFHDgcEKjiKOTaWfb//htpEefWwcgDwVsJHcmUDqkns+HU+Vdu1ExNW3MylAwcIvXIlSb0fe/OoZ0D79+9n7PixtoWmokjvy9UHfCX2Ll2qdyRCEh1Zt464yCho7qQGW2rcOXeRK0eOOKlBwV52LVyIt68v/fv31y0Gj0lAqqrSuElj253fCDznnWfG1tvLnISvSQNaQ5WdixYQFxXloMAEe1MVha0//YhUSU7+9vBJ9RbIeQxsnTPbSQ0K9hB2/TrBmzbRuGHDJC8yt2clBE+5DNO1a1ce3n8IwwF/vaNxoszAxyQtAQF0grjoR2z/6ScHBCU4wuE1a7h74TJaNyfOYJRB7apwcvNWrh496rx2hRRZN2kSBoOBH3/8MclfGxQUxI4dO1I8AQE8JAHt37+fhYsXwruAWC+XONlAe19jy9zZPAoL0zsa4TUs8fGsmTwBaklQysmN17dNXFk1fqzuFbmF17t5+jRH1q6l9QcfkDlzUu9M7SvVJ6Bnht766R2Nm+kCVsnMXz/8oHckwmvsXbKEiNt34BMdEoAB1J4KVw4c5uzOnc5vX0iSNePH4+3jw08uMLqR6hNQly5dPHPozR4CQOugsmvRr9zXsUq58GpxUVFsnD4NGgP5dQqiKkhlZFaNHysWMbuwi//8w9ldu+jVs2eitstxtFSdgM6ePcuvS361/WKKobfkaQOk01j97es3FxT0sXnmTGKjIm3P+vQigfapyu2zFzggqiO4JMVqZcXo0aTx99d16vXTUnUCateunW1hXV+9I9FRGDA34c/k8AX1M4VjGzZyfNMmOwYm2MO1EyfY8uNstM6abV2OnkoDDeCPMV8TfveuzsEIz9s+dy43T59myqRJKdpexZ6leFJtAtqzZw/Bx4OhE7bnP54qDPiJ5CcgsK0LqiGx+MvPiXr40D5xCSlmiY9n4aD+SIUk6KJ3NAkGgMUUx5JhQ8WEBBdy++JF1k2eTPny5enevXuKXuvpUjwplWoTUOfOnSEd0FbvSFIBCRiqEWd5xPKRw/WORkiwafp0Qq9cQR2uuE5NkwBQP1c4s30HB1as0DsaAdvQ28IBAzAZjfz11196h/OMVJmAVqxYwZUrV6A74Kt3NKlEZlAHKhxdu14MxbmAaydOsHnWTLQPNXC1nTNqAA3g969HEH7njt7ReLztc+dy4+RJZkyfTsaMGfUO5xmpMgH17N0TsgNN9Y4klXk8FPfFUB6GhOgdjceKffSI+f0/sw29ddY7mpcYABaveBYM7Iditeodjce6duLEk6G3jz76SO9w/iPVJaBZs2Zx7+496IVrbzDnLMkpxfMyEvCFRpxXFLO7f4g5NtYOLyokhaoozOv7GWF3r6P+z4WG3p4XAOr/FC7+c4DVY8fqHY1HiggNZXa3bvj5+toKMNuJPUvxSJqLPSmMjIwkICCAiIgI0iVjp8UcuXJwW74Ny0mF6dVFXADpY5mgug35cPoMUQXZidZOmMDmWTNhCu6xtOB3YBK0nzCBygm7tAqOZ4mLY+oHHxBy9iwH/vmHN99806ntJ/Y6nqou0YcPH+Z2yG1oTSp7Zy6mCGgjVY6t38DmmTP1jsZjHF6zxvb9/hT3SD4A7wNNYemXX4iK2U6iaRpLv/ySG6dO8dPcuU5PPkmRqi7TgwYNsq37aah3JB7gbeAjWDdxIic2b9Y7mlTv2okT/DpkkO3cdqe93yRgMGhvqPzY4yPx7NAJtv/8MwdXrOCTHj1ss4FdWKpJQDExMezat8tW9SCt3tF4iG5AbYmf+/Tmwv79ekeTat2+eJEZnTugFlZhGLaLujsxgfatSqwpku86tCXy3j29I0q1/vnjD1Z98w0VK1ZkphuMTqSaBDR8+HA0iwYt9I7Eg8jA1xpqGSuzunXh8uHDekeU6oRevcq0dq2JzxSNNuU1u5y6soygTld4EHmT79q3IerBA70jSnWOrFvH4sGDKVqkCPv27dM7nERJNQno53k/28rQu9qaCL2ltBTP63iDNlHDWszCjM4duHTwoIMa8jx3Ll1iapv3iU0bgTpdcf+KHrlB/UHhXti/TGvXWmzzYUeH16xhft++5Mufn1OnTqWo1M7riFI8z/nrr7+IeBgBrfSOxAXZoxTP6/iANkXFWtzMjM4dOb93rwMb8wy3zp1jSuv3iU4bjvqDAq61fjD58tmSUOi9K0xp876oGWcH//z+O/P79aNggQKcO3sWo9Gxc/NFKZ7nTJs2zTb5oKbekXgwX9AmqyhBZn7o0lmUYUmBs7t3M+WDlsRlfoQ6U4FMekdkZwVAna1w/9ENJrZoyq2zZ/WOyC1pmsam6dNZNHgwxYoW5ezZs3h5eekdVpKkigS0e/9uqATov72FZ/MBbYKG2sDKrwMHsvKbb1AVRe+o3Iamafz988/M7NwJc4kYW88nvd5ROUgeUOcqPEp7j0ktmxEsyjslSXxMDD/37s36yZOpVasWp0+fdnjPxxHcPgGdPn2a6IhoW/0pQX9ewJfAANj+81xmftiFmIgIvaNyeZb4eBYNGcyK0aPR2mlok7XUv4FiNlDnKFiqmPnpk0/YOG2a2MwuER7cusXk5s05sWkTgwcP5u+//3boMx9Hcs+onzJ58mTbtNSqekfiouxZiiexJGyLgafBhWP7GN+sCXcuXXJiAO4lIjSUaW0/4OCaFTAS6AMY9I7KSXyAMRp8AhunTePnXj2Ji4rSOyqXdengQb5t3Jh7//7LsmXLmDBhgtNjEKV4npI9R3buZrgL85wQnJB0N0AebEAKkWk6eCi1unZFNnjK1fXVNE3j8Jo1LBv5FWZTLOp4BUrqHZWOdoI0SiZdhqx0mjiFolXcpdyD45nj4tgwZQrb584lIH169u3dS/HixfUO66U8ohTPgwcPuHv3LtTSOxLhpXKDOl9BaWZh5TdjmPLB+9y9ckXvqHQXGRrKj90/YkG/fsS9FY262MOTD0BN0BapRGYLZXq7diz98gvRGwKuHj3K2Pr12T53LvXr1+d2SIhLJ5+kcOsENHPmTFCB6npHIrySDzAAmAXX755gbMP6bP/pJ4+coKBpGodWr+Z/77zNmSM74FtsQ1DpdQ7MVeQE7QcVBsG+lb8xun5dzrvJokp7M8fFsWrsWKa0bEncgwesXr2aP//8Ex+f1DPbyq2H4GrVqsXOIzthK+5XnsRTxQEzgeWQ442iNB/6JcWqV/eIitrXjh9n1bdjubT/ALwjwSCReF7pFkhjZLSjKmUbN6LJoMFkzZ9f76gcTlVVjqxbx9oJEwgPCaF+/fqsWrXKrRJPYq/jbp2AsmbPyr0892CGk4IT7OckSN/LaCdUClV+i2ZDvyBfUJDeUTnE3cuXWTtpIsf/3IRcwIDaW4FqekflJlRgA8hzDWhhGlVat6Zh336kz5ZN78jsTtM0zuzYwepx47h94QLZAwP5+aefaNSokd6hJZlHPAMKexAGb+gdhYtzdCme5CoF2hwVJsGVu0eY1KwZcz7pzu2LF/WOzG4ehoSw5PPPGVPvHU4e2wIjQF0kkk+SyEATUJcraL1U9q9fzqia1VkzfjxRDx/qHZ1daJrG5cOHmdqqFbO6diUmNJTZs2dzOyTEJZOPPUvxuN/KpQTBwcG24qOp41mc4zwuxVMd507FTgwJqA5qFQU2wak52zjxzmYKV6lEzU5dKFW3LgY3W1ynqioX9u1j168LOLl1G1JaCa2PitYC9y0k6gp8gA6gNlVQFylsnfcj23/5ifJN3qNGx07kLVNG7wiTzBwby5F169gxfz63zpzBN00aRo0axfDhw116Xc/TpXiCUjhq4V6/3U9ZuXKl7S/F9I1DsAMD0BjUdxTYDpdWHOTiJ//gny0zNdp1pHKbNi4/5BITEcGBP/5gx6IF3L96HbmAAW2gitYASKN3dKmIP9ATtNYqyjqVQ6tWc+CPFeQq9QY1O3ah3Hvv4eXiz0ruXrnCnsWL2ffbb8RHR5Mla1ZGjhzJF1984XaldFLKbRPQrl27bPv+ZNc7EsFuvIAGoDVQ4QI8WhHGxlnfsfG77yhYoQJl6tenVN26ZM6TR+9IAdsC0lPbtnF882bO79uDolihtgZDQQ1SxMQYR8oIdAa1gwL74NaKsyweMoTfR42k5Nt1KP3OO7xRqxZ+AfqXENc0jZDz5zm5dSvHN23ixqlTGIxGyr35JuPHj6dWrVp6h6gbt01AZ8+dtQ2/iV/y1KkIMMx2pyt1hLjDh1h36BAr/vc/chYsSIn69SlRuza5S5bEy9fXKSFZzWZunTvH2V27OL1pE1dPnbKdfrKM1ly1bdCX2gqHujoDUB206hosA/OUWB5u2sT89esxGAwUKl+ekvXqUax6dbIVLOi0RdCxkZH8e/w4p7dt49SmTYTduYNRllFUlQ4dOjB9+nTSp0/vlFhcmdsmoIePHkI+vaNwA3qU4rGndeCvwSlfP2Rgs9XK2mvXWD9nDptnzkSWJHLkz0/OsmXJXaoUeUqVIrBwYXz8/VM0tTs+Joa7ly9z/eRJbpw8yc3gYG5duIBVUUhjMNBAkvjax4f6BgPvmGM5dRNUkXz0o4FhBdQzGdjo48tNVWW91cqao0dZd/AgKzQNb29vchUvTq6gIHKXLEmeUqXIkjcvphQM2WmaRnR4OCFnz3L91CmunzjBrWPHuHvrFgA5TCY+AN7z9aWAJPFGTAxRUVFunXxEKR5AMknwMdDFaaEJzhYHhkYwwGxiwnMXCUXTOK6qHFEUjqgqhySJUxYL5oTT2dvbm/SZM5MuWzb8c+QgIGtW/AICkI1GZIMBSZJQrFZURSH20SMiQ0N5dOcOkSEhRNy/T0xMDAAGSaKYyUQFVaWcwUB5g4Gysoz3U8ltgcVCl7g4WAHkctp3R3jaMeAT2OrrS53nJq5EaRqHE86TI4rCIVnmktn85P/Tpk1LQJYs+AcGki57dgKyZsXLzw/ZYMBgNKJpGqqioFgsRD18aDtXbt0iMjSU8Pv3sVgsAPjKMkEGA28B5QwGyskyxWX5mRuhNrGxrAUiY2Pdsnp1YqXqdUCPj2EE0Ni58QlOtA6kMXAxTRoKJmJWkFnTOK2qnFdVbmsat1WVEE0jRJK4JUlEaBpWbMlL1TSMkoRJkkgrSeTQNHJqGoGSRA5ZJlCSKCjLlJZl/F7Tk4rVNLLHRhHZGuhrn7cuJI30BRTYJXHRO02ier4RmkawovDvU+fJbU3jliwTgu1nak34kCUJoyRhBDJKEjlUlZxAoCyTQ5IIlCTekGWKyjKG17S922qlRmws48ePZ8iQIXZ5764oVSegPXv2UL16dfgO2z5AQqpk6Ah1rhr4y8dP71Bea0hcHFO8LCgbEftSOdt9kN6FaSZvPnPxWWSaplEyJobwrFm5dfu23uE4TKpeiHrmzBnbX9z1uYbwendBuQAfGUx6R5IoXU0mlGggWO9IPNBeQIVOJtc/VyRJ4iOTidt37hAlCq26ZwK69HhvmSz6xuEWXLUSwuucs/1R2U22bigmy6Q18CRuwYnOQWGTRHo3qSdY2WBAA9asWaN3KMliz0oIbpmArl69apt++frtgoTHlRDcMAFlNEJON7moSJJEOdkAZ/SOxPMYTkElzT1uVADKyDIy8Oeff+odSrI8XQkhpdwyAd2/f9+2CNU9rk1CMkhnoYJkcKsq2W8hY0r576SQFFbQLttmnbkLX0miqCxz5MgRvUPRnVsmIKvVCq4/3CukgPE8lJPc56ICUNZgwBIGROodiQe5BqoVgly4dtqLvCXLhFy/rncYunOvn1oCi8ViG4ITUi0lGrK4Ue8HIPPjeMWzZed5ZPvDHc8V61NrkTyVW66EslqtIgEl1b/P/TszL55FGMZ/nxe96NgXHWfHY1Uz3DWqHE3YNTVQkgh87i73dsJ6n+cl9tgXHZeSY6+rqu2Td4Ac/zk08d/bpBzr4J9Dso9N6ftK7LEJ1/BITXtyrjyW0p9vSs+vVx37UNOwKAqLFy9+8vkSJUr8p7p0cHDwC5+1JPbYFx2X0mP37t37n2OSyy0TkDs9F9BdZqAsMPK5z3+ErZLE81Zhm7TwumNfdJydj/3WYuHbhFXmI728GOX97H4GP1osfP2Cu8jEHvui4+xxLNuAN/9zaOK/t0k51gk/h2Qdm9L3ldhjEy4FS6xWvk84Vx5L6c83pefXq479xWoFoEOHDk8+X7NmTXbs2PHMsf369WPnzp3/ed3EHvui4+xxbEBAgOeW4qlSpQr7L++HdU4Ozl254Z23/DH01Ux0SFjb4Q49oH2KQp/4eJjHizdKdMOfQ7KPdVYP6ATwMfzt60u6525MXbkHNCg+npWaxk8LFjz5vLv0gF517GOpuhJCjRo12H1mN2x0cnCC05iawGcPTUxy8b1dnjbfYqFrXBxsR+wB5CzXgVaw2deXd9yotlqb2Fj+8vHh4aNHeofiEKm6EoKXlxdYXn+c4L4sb8AhVL3DSJIjioIpByL5OFMuMHjzn+c/ru6AopC3YEG9w9CdWyagbNmy2WYaudc5JyRFcTiiKqiu1UF/pQMoWErpHYWHkYGicFh1n5uVCE3jX02jUiVRyNItE1C+fPlABcJ1DkRwnGIQrcBlN0lAVk3jhKKKLeJ1oJSAA5L73I0+7q01atRI50j055YJqEiRIra/uFt5GSHxEi7kuxJmC7m6o6pKvIptl17BuYrDDYvGTTfpBe1WFAxAgwYN9A5Fd26ZgJ5M/xMJKPVKD3IFmKW6x8O+Hy1mjJmB0npH4oGq2p4D/WRx/XNF0TRmWywULFzY9izbw7llAipZsqTtLyIBpWpqKzhise1i6coeahqLFSvWVogF0npIC8q7MFO1YHHxIdv1Viu3NY0RI59fmOeZ3DIB+fj42LbkFgkodasKxsww0+LaJUvmWyyYJaCJ3pF4sBZwz6qx2sWHbGdYLKTz86N9+/Z6h+IS7J6Axo0bR4UKFfD39ydr1qw0a9aM8+fP27sZvLy9RAJK7YxgfR8WK1ZuuOj4foymMVUxo70NZNI7Gg9WCAyl4FvFjOKivaBjisJWReGDdu30DsVl2D0B7dy5k969e/PPP/+wZcsWLBYL9erVIzo62q7tZEmfBS7b9SUFV9QKlPTwoTkOF1szDcDw+HhuodlKxAi6UnrDUYv6n5I8rsCsaXSKiyONtzdTp07VOxyXYfcEtGnTJrp06UKJEiUoU6YM8+fP5/r163bf+6JkyZK23Sdd88ZYsJe0YB0OWy0KP7vYhWWv1cpUiwW1J5BP72gEygKt4XNLPBdcrMc81mzmtKoyd9480qZNq3c4LsPhz4AiIiIAyJgx4wv/Pz4+nsjIyGc+EqN27doQj60Uh5C6VQEaQ19r/P9XnNZZjKbR0RqHXBxoq3c0whM9QckGncyxLjMUF6wojDGbqVa9Om3bipPlaQ5NQKqq0q9fP6pWrfr/M9eeM27cOAICAp585M6dO1Gv3bJlS9tfztkrWsGl9Yf49NDEHEuEzhcWq6bRIT6Wa2gooxAz31yJLygj4YBVpW98vO7DtiGqStPYWHy8vdm4URSvfJ5DE1Dv3r05deoUv/3220uPGTZsGBEREU8+bty4kajXLliwIAZvg0hAnsIflO/gtEmlUXwMUTpdWBRN46P4OFYrCupYxNCbKyoLDIUfLBa+Mpt1S0L3VJU6sbHckST+2rZNDL29gMMS0Keffsr69ev5+++/yZUr10uP8/b2Jl26dM98JFZglkD4b6VyIbUqDMr3cMCg8nZ8DA+cfGExaxpt4+NYaLWijQRqOLV5ISmaA31sz176x8c7vabgDVWlSkwMlzWNVevWUbVqVae27y7snoA0TePTTz9l1apVbN++nfz589u7iSdKliwJ5xFFST1JKVBmw1FvlXJx0exx0rqPC6pKjfgYVqhWtHGAqKLi+joAQ+A7i4XG8bHcctLzw/VWK+ViYrghy/y5ZYuo+fYKdk9AvXv3ZtGiRSxZsgR/f3/u3LnDnTt3iI2NtXdTNG7c2DYR4azdX1pwZcVBmQc3imjUiI2lf1wcMQ66w1U0jalmM6ViozmcWUWdBdR2SFOCI7QEJsOWNArF46JZYLE4bEjuoabRKTaWJrGxyJky8c/hw9SpU8chbaUWdt+Q7mXbZc+bN48uXbq89usTu5ERQFxcHL7+vrY7nZ7JCFZwbwrwG8izII8mMcnoTVOjEaMdtmzXNI2disIwazz/WFRoDfQC3Gd/POFpEcBk4C9oYDIw2uRNeYN9Zo/EaRrLrFaGxMfzQNPo3K0bc+bMQX7BbqyeIlXviPq0AgULcFW9CsucEJzgmq6BYSwowZDNKNFbNvGRyfTC7ZhfJ1LT+NVi4XvVzAWLhjEPWL/A9mBbcH+7wDABlHtQ1iTzmcGL1kYjvsm4abmqqsy2WJhjNhMOBGbLxtr16ylfvrzdw3Y3HpOABg4cyJQpU2AVkMPx8Qku7DywAuQ/QbJAFaOBisiUMxgoZzBQUJKQn7rQaJrGLU3jiKJwRFU5pCnsUBTiAa0G0AooB6S8QyW4EgXYB/LvoB4AfwPUlgyUl23nSTlZJttzNy+KpnFeVTmiqhxWFA4oCgdVFQNQ+s03GTt2LPXr19fl7bgij0lAISEh5MyVE/pjGyYRhEfAJuAwmE6D5Z7t0yYJfDTwMoIViFchLuG5tDEdKG+AFgQ0BrLqEbjgdDeADSCfBOksKAkVw3xk24cBMGsQq9jOGQBfo5EsOXLw9ttvM3HiRDJnzqxT8K7LYxIQQKYsmXiQ9wHMdHBwgnsKx7Ze7DLwA1AeW8/GC1uvuRi2hCN6Op5NA25jm9QUim2CkxXYC9J5iYnjJ9KqVSvy5MmjZ5RuIbHXcaMTY3KYd+q8w7Lfl9nufP31jkZwOemBSgkfx4BIoLOeAQkuScJ2Q/L0UL4K/A5vBr3JwIED9YkrFUsV0zSGDBliu3v5S+9IBJf3NnAc29CLILzOASAcPvnkE70jSZVSRQJ68803CcwRCMuxJSJBeJk6gC+wUu9ABLfwO3in8ebDDz/UO5JUKVUkIICB/QfCNSBY70gEl+YFmIA1QJzOsQiuLQTYB61btvboNT2OlGq+q/3798foY4Tf9Y5EcGnB2J4BRQNb9Q1FcHGrARkmTpyodySpVqpJQLIs06RhE/gbuK93NILL+h2MPkYyZsloG7IVhBcxA6ugTMkyZM0q5uQ7SqpJQMD/b3W7Rt84BBd1H/gbmjRsQq8evWwLV8/oHZTgkv4GImHs2LF6R5KqpYp1QE8rWrQoF8Iu2JKQl/3jE9zYXOAX+PfKvwQGBuLr74v6tgpf6x2Y4FI0oCsE3A0g/H643tG4pcRex1NVDwgSekEPgBV6RyK4lIfAIihbpix58+bFy8uLFu+1sE3dv6J3cIJL2Q2chcEDBusdSaqX6npAAEWKFuHi7Yu2h4hiE0IBYBqwHM6dPkfRokUBiIqKIn3m9ChvKTBJ1+gEV6EAbSEgMoAHYQ/E7Ldk8tgeEMDiRYtts5yW6B2J4BJuA8vh7ZpvP0k+AGnTpqX7h91td7wndItOcCWbgGswdfJUkXycIFX2gADeeustDp04ZKuSncl+8Qlu6GuQNkuE3Aghe/bsz/yX1WolTUAazIXMMAdRD86TxQMtIdArkJCbIXpH49Y8ugcEsHTpUlshwXl6RyLo6jKwEVo2a/mf5ANgNBr5YsgXth7QXqdHJ7iSlcA9+GnOT3pH4jFSbQ8IoH79+mzettm2ODWnfeIT3MwAMBw2EB4WTtq0L34gqKoq6TOl51GGR7AYWw1+wbNEAU2hSI4inD9/Xu9o3J7H94AAFi9ebBvHHYeoEeeJdgJ7oVf3Xi9NPmBbxDx10lS4ithZ11PNAGJg0aJFekfiUVJ1AsqcOTMjvxoJhxCLUz1NBPANZM2WlWnTpr328G7duhEUFGTbU+qag2MTXMtBYBW0btWaChUq6B2NR0nVQ3CPFSlShIs3Ltrubv/7GEBIjYYD2+DY4WO2xJIIYWFhZM+VHaWQYlu0KobiUr9ooA0EWAIICw3DaEwVW6TpTgzBPWXLli3IigxjEENxnmAnsBl6fNQj0ckHbD3maZOmwWnEUJynmA6EwdrVa0Xy0YFHJKC8efOKoThP8dTQ28yZSd+j/dNPPxVDcZ7iqaG3GjVq6B2NR/KIIbjHxFCcB0jG0NvzwsLCCMwViLWQVQzFpVZi6M2hxBDcC2zdutU2FDcEsRlZarQC2Aw9u/dMdvIB21Dcd1O+sw3FJb0TJbg6FRiFGHpzAR6VgPLkycPCeQvhIvAN4nlQanIUmASlSpdK1tDb83r16kWzZs1gEbAxxS8nuJK5wC746ouvxNCbzjwqAQG0b9+ezz79DDZju7gI7i8EGAzp06fn4IGDdnvZFStWUKhQIdvNymm7vaygp23AL7ZF6qNHj9Y7Go/ncQkI4LvvvqNKlSq2xWei/Ip7i8FW7cBi4OA/B/Hx8bHbS8uyzJEjR0jjlwYGAvfs9tKCHs4DIyFP3jxs3Ci6ta7AIxMQwM6dO8mSPQt8iW0FvOB+VGAkcA1WLFtB4cKF7d5EunTp2Ld7H3KUDIOwFawU3M8DYAD4ePtw5PARUenaRXjsT8FoNHL00FFMmGAAtg3LBPfyI0/G8ps2beqwZkqXLs2CXxbABWA0tsQnuI84YDBI4RK7tu8ic+bMekckJPDYBASQK1cuNm/cjHRPgl7Y1pAI7mEBMB8aN27slLH8Dh06MKDfANgCjEdMYHEX8dh6rmdgzqw5otSOi/HoBARQq1YtVv2+Cq4DfbBVxRVc21Jgpu1nt379eqc1O3nyZD766CPbTrtTEEnI1VmAYcARmDwx4WcnuBSPT0AATZs2ZdniZXAJ+BR4pHdEwkstA6ZBpUqV2LZtm9Obnzt3Lu3bt4fltjhEEnJRZuALYB+M+d8YBgwYoHdEwguIBJTggw8+4Nf5v9rG+XsihuNc0a/AFKhQoQJ79+7V7UHyokWLaNOmDfwGTEA8E3I1Cc982A2jRo7iyy+/1Dsi4SVEAnpKhw4d+P2335GuStADCNM7IgGw9TLmAjOgRo0a/PPPP7rPYlq6dCldunSx7aI5Btvuu4L+orFNKjoI478dz8iRI/WOSHgFkYCe8/7777N21VrkmzJ0BM7qHZGHiwNGAD/ZFg/u3LlT9+Tz2Lx58+jZs6etUkIfRK9Zb7eArsAx+H7a9wwZMkTviITXcI3fZBfz7rvvcuTgEfwsfvAx8JfeEXmou0B3YCv069ePTZs26R3Rf8ycOZPvv/se6YQEnYDLekfkoQ4DncB4x8i6Nevo06eP3hEJiSAS0EsEBQVx6/ot8uXOZ7sD/wFQdA7Kk5wEOoF8VWbJoiVMnTpV74heqk+fPuz6exdekV62O/BdekfkQTTgd6APZPDOwIWzF3j33Xf1jkpIJJGAXiF9+vRcvnjZdkIvxLaeQEzTdrwNQA9Iq6Xl+JHjtG3bVu+IXqtatWpcu3yNwEyBtgfg8xAz5BzNAowDJkHZMmUJuRlC/vz59Y5KSAKRgF5DlmXWrVtnW+x4AOiCeC7kKDHYFnn+DwoXLMyt67coWbKk3lElWvbs2bl+7To1a9aE2di2/Xigd1Sp1A3gE2AtdO3alaNHj9q1DqDgHCIBJdJXX33FxnUb8X7gDR8Cs7CtNRDs4wjQBlgNbdq04dzZc3bfkNAZjEYjO3bssD0A3wd8gK0Cs2AfKra1YG3BcMHAj7N/5JdfftE7KiGZPGpHVHuIiYmhSZMmbP97O+QBvgaK6x2VG4vB9nztD/AP8GfVilXUqVNH76js4tSpU9SrX4/bIbehNrYeUUa9o3JjN4D/ASegVKlSbN68mezZxdbGrkjsiOogfn5+bNu2jd+X/453mOgNpcjjXs9KaNGiBQ/CHqSa5ANQsmRJbt64yWeffQa7Eb2h5Hq613POwNSpUzlx4oRIPqmA6AGlwDO9odxAf6AyIOkcmKu7B8wB1qa+Xs/LPNMbqoGt5FNevaNyA6eAqbY/Ra/HfYgekBM83RtKG5HWloA+wTaFWPivSGzDbc2BDbZFv6mt1/MyT/eG5H9kW89vLBCqd2Qu6iq22YTdwOuyl+j1pFKiB2QnqqoyatQoxk8ajznWbLvL7QWIWaG2aga/Y5uaHAtVK1dlyZIl5MmTR+fA9BEeHk7nzp1Zu2Gt7RawLbaqG+5zujvOXWxll9aDbJLp1rkbM2bMwMvLS+/IhCRI7HVcJCA7M5vNfPbZZ8ydNxfVosK72BYn5tQ7Mh3EYytTMwd4CCXeKMGiRYsICgrSNy4Xcf36ddq3b8+efXvAB9t50gJIq3NgergPLAaWgYREsybNmD9/vlteAwSRgHQXGRlJ165dWbV2FZpVg0pAK2zPiAw6B+dot7AV6VwNREHuPLmZ98s8jxhqS44TJ07QoUMHTp46CV5AI6AlYP8dxl2LBgQDfwB/2/5do1oNFi9eTK5cuXQNTUgZ8QxIZ+nSpWPFihWE3g6lS5cu+JzygYFAM2xVFVLbFuAKsAfoi+0ufimUK1qOzZs3c/3adZF8XqF06dKcOHGCQwcPUatyLaT1EnQAumGrQ5jaZlhGAyuwPQf7BIx7jDRr0owrl66wc+dOkXw8iOgBOdGCBQsYPWb0/7V39zFNXX0cwL/Q0tviS1U6WotYO7JnCCLqCr7gExNBjTHGZcbogqbRRBODCtb4tg3JsjgUgzEqEefi/GO+bH/oXtgwElR4WARRwZeh2CmPNmpB5mo7kBbb8/xxKY6Vx2lCORf7+yQ3pLfVfj1ezu/e29NzcOfOHbH0Z3RtqRBvwQw0DOLkmxUQr3ZaAOVgJT5c9CEKCgqg0Wi4xhuo2tvbkZeXh0OHD+Hpk6fiZ0MLAMwAkIiBedr4HEAdgLMQp1pyAzq9DpYcCzZs2CCZGc5J36BbcBJmtVphsVhwuvw0nj97DkRALEIzAEwHEMU330t1QuxI/gPgPMRRXOFAnDEOubm5MJvNPNO9cUpKSvDJJ5/g6q9XxU5cDfE4+Tekf+LiBHAB4rFSBeCZOLAgbUoaCgsLkZKSwjcfCRoqQANEaWkpioqKUPlLJVyOrrXA4yF2MkkA3gXf0VHPAfwX4vx31QB+gdiRKMKR8K8ELFmyBGvXrg2J/yuePB4PvvzySxw5cgR11+vwvOMvJy7TIF4ZxUH8DImXdogrCv8KsehcBeATr4qnmKZg1apVWLx4MV3thAAqQANQY2MjCgsL8dPPP+Hho4cvlnrWQexgxnZt7wIYEoQA/mJzC2LBaQBghXjVA7EjmZoyFStXrqSOhLNeT1xkEIf9J0I8iRmL4BWlZwAaIR4rtyAWHRvE27JhQJQmCrPSZ8FisdCVTgiiAjTAeTwenDlzBiUlJaipqcFvTb/hT9efL4rSIIjzimkBvNW1RQHQQBzGK4fYIckh/pnnEAcKeCAOeX38l58tXT8d6P775So5YqJjkJycjJkzZ2LhwoX04bBEPXnyBCdPnsSZM2dQX1+Pew/vwdPWNXIhDOIV9FsAort+arq2KAAqiMeJf/PixbHSDnFZev/mP1ZaAXTVPIQBqsEqGGONSElJwdy5czF//nxERkb2w7+cSBUVoDeQvyiVlpbizp07sNvtaG1theNPBzrcHfB6vC8K1D8IiwiDQlBgiGoIRgwfAa1Wi5iYGEyZMoWKzRvAX5QqKyths9nQ3NyM35/8Dme7E263G8zzir/2YeLtVqWghHqQGlFRUdDpdDAYDJg1axYVG9IrKkAhyOfzwWaz4eHDh3C73XC73ejo6EBERAQEQYAgCBg8eDDi4+Np7ZQQ5/F4YLVa4XA4uo+Tzs5OKBQKCIIAlUoFjUaDuLg4utVKXtur9uPyfsxEgiw8PBwGgwEGA81ySV5OoVAgMTGRdwwS4ujUhhBCCBdUgAghhHARtAJUVFSEMWPGQKlUYvLkybh48WKw3ooQQsgAFJQC9M0338BisSAvLw9XrlxBcnIy5syZg5YWWvyEEEKIKCgFaPfu3Vi5ciWWL1+OhIQEFBcXIzIyEocPHw7G2xFCCBmA+nwUnMfjweXLl7F169bufeHh4cjIyMCFCxcCXu8fLuz39OlTAOIwPkIIIQOPv//+p2/59HkBam1thdfrhVar7bFfq9Xi1q1bAa/Pz8/Hp59+GrA/Nja2r6MRQgjpRy6XC2q1+v8+z/17QFu3boXFYul+7HA4YDAYcP/+/ZcGDzVOpxOxsbGw2Wz0Bd0u1CaBqE16R+0SKJhtwhiDy+WCXq9/6ev6vABpNBrIZDI0Nzf32N/c3AydThfwev839P9OrVbTgdKLoUOHUrv8DbVJIGqT3lG7BApWm7zKBUSfD0JQKBR47733UF5e3r3P5/OhvLwcU6dO7eu3I4QQMkAF5RacxWKB2WyGyWRCamoq9uzZg7a2NixfvjwYb0cIIWQACkoBWrx4MR4/foxt27bBbrdjwoQJOH36dMDAhN4IgoC8vLxeb8uFMmqXQNQmgahNekftEkgKbSK52bAJIYSEBpoLjhBCCBdUgAghhHBBBYgQQggXVIAIIYRwIbkCRMs4vJCfn4+UlBQMGTIE0dHReP/999HY2Mg7lqTs2LEDYWFhyMnJ4R2FuwcPHmDp0qWIioqCSqVCUlISLl26xDsWN16vF7m5uTAajVCpVIiLi8Nnn332j/OTvWkqKysxf/586PV6hIWF4bvvvuvxPGMM27Ztw8iRI6FSqZCRkQGr1dov2SRVgGgZh54qKiqQlZWF6upqlJWVobOzE7Nnz0ZbWxvvaJJQW1uLgwcPYvz48byjcPfHH38gLS0NERERKC0tRUNDAwoLCzF8+HDe0bjZuXMnDhw4gP379+PmzZvYuXMnCgoKsG/fPt7R+lVbWxuSk5NRVFTU6/MFBQXYu3cviouLUVNTg0GDBmHOnDno6OgIfjgmIampqSwrK6v7sdfrZXq9nuXn53NMJR0tLS0MAKuoqOAdhTuXy8XeeecdVlZWxmbMmMGys7N5R+Jq8+bNbPr06bxjSMq8efPYihUreuz74IMPWGZmJqdE/AFgp06d6n7s8/mYTqdju3bt6t7ncDiYIAjs+PHjQc8jmSsg/zIOGRkZ3ftetoxDKPIvVTFixAjOSfjLysrCvHnzehwvoeyHH36AyWTCokWLEB0djYkTJ+LQoUO8Y3E1bdo0lJeX4/bt2wCAq1evoqqqCnPnzuWcTDqamppgt9t7/B6p1WpMnjy5X/pd7rNh+73uMg6hxufzIScnB2lpaRg3bhzvOFydOHECV65cQW1tLe8oknH37l0cOHAAFosFH330EWpra7Fu3TooFAqYzWbe8bjYsmULnE4n4uPjIZPJ4PV6sX37dmRmZvKOJhl2ux0Aeu13/c8Fk2QKEHm5rKws3LhxA1VVVbyjcGWz2ZCdnY2ysjIolUrecSTD5/PBZDLh888/BwBMnDgRN27cQHFxccgWoG+//RZHjx7FsWPHkJiYiPr6euTk5ECv14dsm0iNZG7Bve4yDqFkzZo1KCkpwblz5zBq1Cjecbi6fPkyWlpaMGnSJMjlcsjlclRUVGDv3r2Qy+Xwer28I3IxcuRIJCQk9Ng3duxY3L9/n1Mi/jZu3IgtW7ZgyZIlSEpKwrJly7B+/Xrk5+fzjiYZ/r6VV78rmQJEyzgEYoxhzZo1OHXqFM6ePQuj0cg7Enfp6em4fv066uvruzeTyYTMzEzU19dDJpPxjshFWlpawBD927dvw2AwcErEX3t7O8LDe3ZxMpkMPp+PUyLpMRqN0Ol0Pfpdp9OJmpqa/ul3gz7M4TWcOHGCCYLAjhw5whoaGtiqVavYsGHDmN1u5x2Ni9WrVzO1Ws3Onz/PHj161L21t7fzjiYpNAqOsYsXLzK5XM62b9/OrFYrO3r0KIuMjGRff/0172jcmM1mFhMTw0pKSlhTUxM7efIk02g0bNOmTbyj9SuXy8Xq6upYXV0dA8B2797N6urq2L179xhjjO3YsYMNGzaMff/99+zatWtswYIFzGg0smfPngU9m6QKEGOM7du3j40ePZopFAqWmprKqqureUfiBkCv21dffcU7mqRQARL9+OOPbNy4cUwQBBYfH8+++OIL3pG4cjqdLDs7m40ePZoplUr29ttvs48//pi53W7e0frVuXPneu1HzGYzY0wcip2bm8u0Wi0TBIGlp6ezxsbGfslGyzEQQgjhQjKfARFCCAktVIAIIYRwQQWIEEIIF1SACCGEcEEFiBBCCBdUgAghhHBBBYgQQggXVIAIIYRwQQWIEEIIF1SACCGEcEEFiBBCCBdUgAghhHDxP3bAfC3Ex4FFAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1 -3.852752827221041\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2 -3.852752827221033\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3 4.239601372763498\n", + "4 4.2396013727635\n", + "5 4.239601372763502\n", + "6 10.741792762297127\n", + "7 10.741792762297136\n", + "8 10.74179276229714\n", + "9 11.135561953696916\n", + "10 11.135561953696929\n", + "11 11.135561953696929\n", + "12 22.53713229271336\n", + "13 22.537132292713366\n", + "14 29.48031578745088\n" + ] + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "\n", + "freqs, eigvecs = phonon.get_frequencies_with_eigenvectors(q=[0.5, 0.5, 0.5])\n", + "\n", + "# write(\"undeformed.extxyz\", atoms * (2, 2, 2))\n", + "\n", + "for mode in range(len(eigvecs)):\n", + " # mode = 0\n", + " eigvec = eigvecs[:, mode].real.reshape(-1, 3)\n", + "\n", + " # atoms = read('BZO_cubic_prim.xyz')\n", + " cloned = atoms.copy() #* replicas\n", + " norm_eigvec = eigvec / np.linalg.norm(eigvec, axis=1).max() * 0.5\n", + " cloned.positions += norm_eigvec\n", + " cloned.set_constraint()\n", + "\n", + " print(mode, freq := freqs[mode])\n", + "\n", + " if freq >= 0:\n", + " continue\n", + " \n", + " # view(atoms * (5, 5, 5), viewer='x3d')\n", + "\n", + " plot_atoms(cloned * (2, 2, 2))\n", + " write(f\"pbe/mode-{mode}.extxyz\", cloned * (2, 2, 2))\n", + " plt.savefig(f\"pbe/mode-{mode}.png\", dpi=300)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-2.11439178e-18 -4.22304315e-17 -5.70003002e-16]\n", + " [-1.91068525e-17 6.38796468e-17 -3.43967329e-17]\n", + " [ 1.65178706e-02 1.86479850e-01 -6.38796468e-17]\n", + " [ 4.63923771e-01 -2.70260044e-17 -1.86479850e-01]\n", + " [ 9.68175896e-17 -4.63923771e-01 -1.65178706e-02]]\n" + ] + } + ], + "source": [ + "mode = 1\n", + "eigvec = eigvecs[:, mode].real.reshape(-1, 3)\n", + "\n", + "norm_eigvec = eigvec / np.linalg.norm(eigvec, axis=1).max() * 0.5\n", + "print(norm_eigvec)\n", + "\n", + "np.save(f'pbe/mode-{mode}.npy', norm_eigvec)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "mlip-arena", + "language": "python", + "name": "mlip-arena" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}