{ "cells": [ { "cell_type": "markdown", "id": "1954fa04", "metadata": {}, "source": [ "# Cluster creation\n", " \n", " A cluster is simply a collection of $N$ 2D position vectors — the coordinates\n", " of the particles in the cluster reference frame (CM at origin, $\\theta = 0$).\n", " Depending on your physical system, there are several ways to obtain these\n", " positions. This notebook walks through all of them.\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "65f72f1e", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from numpy import sqrt, pi, tan\n", "import matplotlib.pyplot as plt\n", "\n", "from flake.cluster import (make_cluster, rotate, add_basis,\n", " save_cluster, load_cluster,\n", " cluster_from_params,\n", " params_from_poscar,\n", " cluster_poly, get_poly)\n", "from flake.plot import plt_cosmetic" ] }, { "cell_type": "markdown", "id": "b8a0c5c5", "metadata": {}, "source": [ "### Lattice and size\n", " \n", " A cluster is a finite subset of a 2D Bravais lattice, cut to a given shape.\n", " The lattice is defined by two primitive vectors $\\mathbf{a}_1$ and $\\mathbf{a}_2$.\n", " `N1` and `N2` control the number of candidate lattice sites generated\n", " before the shape mask is applied — their exact meaning depends on the shape\n", " (see `flake.cluster` docstring for details).\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "1d6cd638", "metadata": {}, "outputs": [], "source": [ "a1 = np.array([1., 0.])\n", "a2 = np.array([-0.5, sqrt(3.)/2.]) # triangular lattice, spacing 1\n", "\n", "N1, N2 = 12, 12" ] }, { "cell_type": "markdown", "id": "37208339", "metadata": {}, "source": [ "### Single shape\n", " \n", " `make_cluster` always returns an $(N, 2)$ `float64` array with the centre of\n", " mass (CM) at the origin and no rotation applied ($\\theta = 0$ reference frame).\n", " Translation and rotation are applied explicitly afterwards — this keeps cluster\n", " creation and the initial conditions for dynamics cleanly separated:\n", " \n", " $$\\mathbf{r}_i^\\text{lab} = R(\\theta_0)\\,\\mathbf{r}_i^\\text{ref} + \\mathbf{r}_\\text{cm}$$\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "651f8d25", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hexagon: N=397 particles\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = make_cluster(a1, a2, N1, N2, shape='hexagon')\n", "print('Hexagon: N=%d particles' % pos.shape[0])\n", "\n", "tho = 15. # rotation angle [degrees]\n", "X0, Y0 = 5., 2. # target CM position\n", "\n", "pos_shifted = rotate(pos, tho) + np.array([X0, Y0])\n", "\n", "fig, ax = plt.subplots(dpi=150)\n", "ax.scatter(pos_shifted[:,0], pos_shifted[:,1], s=10, label='cluster')\n", "ax.scatter(X0, Y0, marker='x', color='green', s=100, label='target CM')\n", "ax.scatter(*np.mean(pos_shifted, axis=0), marker='+',\n", " color='pink', s=100, label='actual CM')\n", "xx = np.linspace(pos_shifted[:,0].min(), pos_shifted[:,0].max())\n", "ax.plot(xx, Y0 + xx * tan(tho * pi/180.),\n", " lw=1.5, ls=':', color='red', label='orientation (theta=%.0f deg)' % tho)\n", "ax.legend(fontsize=8)\n", "ax.set_title('Hexagonal cluster, N=%d' % pos.shape[0])\n", "plt_cosmetic(ax)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c4470e05", "metadata": {}, "source": [ "### All shapes\n", " \n", " All available shapes on the same triangular lattice, with a two-atom honeycomb\n", " basis added. Adding a 2-atom basis doubles the number of particles per lattice site.\n", " \n", " Shape guide:\n", " - **circle**: isotropic; good default for finite-size scaling studies\n", " - **hexagon**: 6-fold symmetric; natural match for triangular lattice\n", " - **rectangle**: anisotropic contact; useful for directional friction studies\n", " - **triangle**: sharp edges; tests boundary effects\n", " - **parallelogram**: periodic-boundary compatible; exact tiling of the lattice (see Panizon Nanoscale 2023)\n", " - **ellipse**: semi-axes $r_x = N_1 |\\mathbf{a}_1|$, $r_y = N_2 |\\mathbf{a}_2|$\n", "\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "dabfff88", "metadata": {}, "outputs": [ { "data": { "image/png": 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J7Vff0JyD+cXTNvgYxFMpzKaTca4nzk/FuT84vxRP2eMp6PPmzaM///xT/ZLPK5MGH+/5V3YegcSjjoJXyQEA2Xikjdl+wOp5uZ3XGozr5RGfvI/kfUtorlQ+fzZjNtqR9+XMGOWS1zGGR/rzcSGSnKC8z+PzeT4emo2eMqZVhx4/84v3zXfeeacaPco3nlkSDuejPfPbeeyuLXgkMcf3/vvvqzQcwauq/fLLL+o4zbmkgo8jPEKLpyTy6GMetczHHp7izaus8bRHnlrNn0Uj3xHkHzqOIAdjehWfUOcXJzV1on4+QPBFRF7JNHl+s50dRzwEl4ePcp6NTz/9VOW2iBW+UOETcJ76wcn7OH8HdyAZSUd57jcLl9DPeDy3KQm8Y+dpFjx0mHfseQ1nBQDvCLdv4E6X4PwBfDJtTJ21mtC4bNmy6mSO9y+8bw7OaxSMk1zzcH7Oa8A5injfxyeEfLLNU7G44yo4Abexf+N9o9m+M/Q4YJQ3m9Yb/LjZdONI28lOfEHEHTHc4cIdSbHCx1ljQYXQpNjB7fvll1/S66+/rqbUffDBB6rjiC8+pk6dqo6ZjBPpMp4eyCf5fNEUPN0DAOQzO6+P5rzczmsNrqtRo0ZqmhP/YM2dCdzpwPtk/hsfT4KPF3ntz40fGriDJ5JjTG6Pm7WT0YHEt9zayW684MQnn3yitlG4Y68TIr224B8pePvxPS9Qwcd7/uGHO+R4Wjt3HBnHEcYpRLhjiLdv8DRq7ozk6zTuzONrJnQc2QcdRxB2J8q982a/xFrBX/rc6o8Wd5LwCTrvhGKN817MmDFDzfE2S55nd44jM8YvNMG/bvCqDHwA5nblX3lDL4iMpN6cA8QM/7rRpk0bdVBDDz0AhGN0UvNKLZzHzgo+aeQbj1biEUP8qyCfJAbjiw/uVOALFK4/dF9mNqrHSM7KeZFCk2vyyT/v14IvUIz3YCTkDMX70OBybuNfYHnED3ficI6IcKN07M5xxB1C3BYtWrSgWrVqha2D4+H8VXwLxr8I87GHt7eRl4J/ueeORyPBbbj6jLJ25fkAgPwzO6+P5rzcjmsBw9ixY1WnEe9PQkfx8PGCOxbyK/gYYybc46GMYwrnrOPO9ljizi1e4Y7biTtd+EcZp3McWbm24M8W/0Bh9iMF56Hi0Ua8sFJoAmyzvIL8owT/8MT5dO2efeJn6DiCHLh3l6cG8NC//HYchauf8bB2TgAXzXQ1roOnMaxbty5H8m6n8QoRPMSTD0S8EkRuHUe8w4oUXxRE2nFkHGhDp1/w9AqeMpCcnKwSAgYzEskaUzBCd8icVI5/UeEkc5xwDgDADA/L5/0u73/5IiHS6bI8NYxPCHnUEXcI8SIJfMLPJ5U83cnAHUrc6c5JL0M7jfhXWLPOKu7E4k4GnsIb2nHEUyJCp7lx0m0eKs9TGrhjw1g8wGCsjhZ8kuo2/sWVR7rySNNwq+5wx5HVUWB8wh+u48hIih1utFFeuJOQp6jwCFlDvXr11JQEM/z+eBvzKkN8EYGTfQA9WD0vN64F+Nz03nvvzbM8j2w0W5nROLYwnt4Uikc42oGPMYyPMbx/Csb7LN73RoJH1PB1D0/BcgOn2uAp4pyknBemCNdxZPU4wiNMQzuO7Lq24B/JebozT3UL/jHHGEVmthI3/81YwZUTZoNNTPIegc9xAjVOenrOOeeo/w+1ffv2iJNjh0u62bRp06wEqaE4cVx6enquybHnzZunHuNk1ZwUOtTRo0dtSYoWLtk0JwDlBG7cRpww1Cw5dn5xQj+zBKychI+TpPJrDho0KNvflixZkpWk9MCBA1mP83ZITExUCWVDt8lPP/2k3gMnrOMkrADgL+H247ntg99//331WOfOnU0TZPP+h/dhhoyMjMDll1+ukizPmjVLPbZjxw617ylRokS2RJm8aEKxYsVUIlTe3xk4iXLfvn1NkzovXLhQPVazZs3AwYMHs71u8+bNTZNjDxkyJOs9BO9r9+7dGzj//PNzLIQQTTvZkRw72DPPPKP+xom9zZJj22nr1q2BAgUKhE2KHezQoUM5HuNjS5kyZdRx0uw4bQbJsQFkymv/Z/W8nPfNxn42NOFx6LUG48UW+ByWE+uHevnll1U9b775ZrbHV61apY4vVq9TjOTQvC8O3seVLFlSLTDDCayDPf7446bHpXBtdvvtt6vHX3jhBdPzfD4ebtmyJZAf4RZQCD5+G8eR0OTYdojm2sLsOMLHIb6m4Xb/+eefs/3tvvvuy0qEHXqMeuKJJ9TfQhfpgPzBiCMwTaA2evRo9QsA97DzsEL+NZaH+vF8XB6uafwaGy3Og8C905wglXMgGInY+JdfTgDK81hzW9aRf6HmYZY8XYxj42ShPAyee/15lA//wsAJ7HjkjRP4F3aOPXgZTSfmInOCN07GbeT32L59u/p1hn+N58f5/Qfjx/773/+q4a88tYFzS/AvNPwrLo8M4BFSwe3KuUq4LflvfM9Des2mgUSyXDMA+Af/4spL3vKxgkfucN4d3k/xvoSnDKSkpKhRj5zcmvG+ksvz/smYastTx3g4PP+KyPnili5dqn4Z5F9jeQob7+M5cTYfg3g/xscdrp+HpYceg3gqFY+K4REy/Gs3//LM0514qhX/QlmxYsUco1v5l1fen/LUYx7WzscRTvzNw+nT0tJUzGaJUN3EMfF7NH5hdxKPBuOpJ+GSYgfjKQ8JCQlqNBGP5uLpCTz6gB/jbcDtDwDeZfW8nPf1vK/lxP+33nqrGgXDo5B4eivvP+bPn59tpCjXz9cgvIw758njfRLvt/n4wTmNOA8cn6vysYFfn68neCoTj1zlc+D84msfzs3GuYH4XLtbt25qRCwftzjnHh+D+D1GMouCc5NyfDx6lGcJcLvwNLJdu3ap987vc9KkSVnTe+3Go0x5VgSPCHJCtNcWPBKVPys80pevs/hcYubMmSqhNrcTX9cEe+qpp9TxhT8rPEOGPxt8zOFrp+XLl6v/t2OaIgTJZ8cTeBgvndulSxe1fGahQoXU0snXXnttYMqUKfkecWSMLHrsscfUL8T8KwL35PPSvDyK5tixYxH9isu/Bnft2lXFxjHyr5tcx0MPPRT48ccf890GuS1vz73bxq8lTow4+uqrr9SvADVq1FC/mPAoMN4W3LP+zjvv5Pp6/EsDL/XJv9oXL15c/eL+5Zdf5ihnbL/8LtcMAPrKz0ga3q9cd911WccJXqqZf+HjXzmNZe5nzpypns/7pOCl1w28v+a/Dxw4MOsx3r8NHz48UKdOnUDRokVVvbfddpv69THc8YVHKr3++utqmXf+dZKPC7yML49A4v0gHxtC8ehWHnlUt25d9Tpc7qqrrjL9BVzCiCM2ZsyYrH2zUyOO+FfwihUrqtfYuHFjnuX/97//BS677LKsX+SrVaum2j501EBeMOIIQKa89n/Rnpdv27ZNjRzh82kuz6PjGzdurPbLoSOW7r33XnVObiy9HhwLz5Do1KmTOhbxuS/vj3gfGs11itmIIwOPmOVRVTyShmce3HDDDepYx8dBfk7wCNzc2oxHXI0aNUrVxef4vN+sXLlyoHXr1oERI0aoaySnRhwxHgVkHEfsHnEU7bXFhAkT1IwU/gzwZ+G8884L9OrVK7B+/fqwr5WWlhZ4+OGHA7Vr11bXkvy8KlWqBHr37p11DgL2ieP/BHckAQAAAHgF/7LLiwJwHiX+FRcAAMAuvAAD59bjkbHGwgoAXmQ9KzEAAACAMLxCGk+tCsZTz3g4PMttFUwAAIDccJoIPqYE4/EXvHABJ2/GMQa8DiOOAAAAQHtPPPGEGlHEOfM49wR3JHHugx07dqi8SpxzJ9xS0gAAALnh/Eycj4/zMnG+UM7fxKt28opqlStXVitSlytXDo0InoWOIwAAANAedxK99tpr6iSek3LGx8erKWqceJVHHXGybAAAgGhwsuann35aJV/mJeA5efd5551H119/vVowhxNcA3gZOo4AAAAAAAD+sWrVKnr++edp8eLFaqUvzmHDKzfyio8AAH4U73YAAAAAAAAAEsyZM0ct896gQQN65plnqHjx4vTbb7+paa8AAH6FEUcAAAAAAOB7hw8fVlNcmzZtSp9//jkVKIB1hAAAGPaGAAAAAADge5988gnt2bOHhgwZojqNjh07lmO1RgAAP8JUtQiWXvzuu+9UtvwiRYrEZqsAgOsyMjJo+/bt1KJFCypVqpTb4YCDsJ8HAIlwHIq9efPmUYkSJWjnzp2UlJREmzZtorPOOotuv/12GjFiBBUtWjTsc9PS0lTS5NARTFxH/fr1cR0BAFofB9BxlAfuNOIDBwD40/Tp06lz585uhwEOwn4eACTDcSh2UlNT1WpZfNy/88476eWXX6aFCxfSqFGj1I8MkyZNCvvc0aNH0+DBg2MYLQD4xXQB1yPoOMoDjzQyNlb16tVjsU1AMOOEoUePHm6HAg7bvHmz6jQ29gHgXdjPgxNwvID8wnEo9o4ePUp///033XvvvfTmm2+qx7p06UKZmZn0zjvv0AsvvEA1atQwfW7//v2pa9eu2R5bv349devWDdcRYAmOHyDxOICOozwY09O406hu3bqx2CYg2H333afuK1Wq5HYoECOYoup92M+DE3C8ALvgOBQ7CQkJpj8Q3nrrrarjaNmyZWE7jsqVK6duZnAdAVbg+AESjwPoOAKwAB1GAACA4wWAN1WsWJHWrVtH5557brbHjQ6hv/76y6XIwE9wvQESYVU1AAAQM0Xgueeeo/bt21NiYiLFxcXRhAkTTMtu2LBBlStevLgqy4lLQ5OSAgAAWHH55Zere06OHWzXrl3qvmzZsmhQAPAldBwBWMCJD/kGAPbbt2+fyh/BnUKXXHJJ2HI7duyg5s2bq3nfQ4cOpUceeYS+/vpruuaaa1QeCgAJcLwA0A/nI2Lvv/9+tsfHjh1L8fHx1LJlS5ciAz/B8QMkwlQ1AAsuuOACtBeAQypUqEB//vknlS9fnlasWEGNGjUyLcedRceOHaOVK1dSlSpV1GONGzdWHUc8Qqlfv37YRuA6HC8A9NOgQQPq27cvjRs3Tq2uxktg86pqU6ZMoSeffFJNZQNwGo4fIBE6jgAs4KkxAOBc4j/uNMrL1KlT6frrr8/qNGJt27almjVr0meffYaOIxABxwsAPY0ZM0YdX8aPH0/Tpk2jqlWr0ogRI+jBBx90OzTwCRw/QCJ0HAEAgDY470RaWho1bNgwx9941NGsWbNyfT4/NzQXEk95AwAAYIUKFVL59vgGAABnoOMIwIKUlBR1z/lVACD2eCqbMa0tFD924MABysjICLtsKecNGDx4sONxAuB4AQAA0cDxAyRCcmwQa+W2AzRqfqq6l1LXjz/9TCk/rBIVE4CfpKenq3uzjqGiRYtmK2Omf//+tHbt2my36dOnOxixd1ndh/mtvNXjhbT4nS4PAPnj1HfOiXp1itWpeq3UaZyf2F2vF9vVqXpxTMsJI45AJP6ydh2zjE4HiEbMI5pybxO6vGqiq3VxPe/trqLqGTdmmYiYAPwmISFB3fOoolDHjx/PVsZMuXLl1A3yx+o+zI/lrRwvJMbvZHkAyB+nvnNO1KtTrE7Va7XOPn36aBOrF+vFMc0cRhyBSEs371c7AMb3/G+36+LnHQ/EUybFi4kJwG+MKWrGlLVg/FhiYmLYaWpgH6v7MD+Wt3K8kBi/k+UBIH+c+s45Ua9OsTpVr9U6+Qew3H4EkxSrF+vFMc1nHUerVq2iG264QV1EFCtWjOrVq0dvvvmm22FBhJpWL00F4s78P9/zv92ui59XssBxOjvuuJiYAPymUqVKVLZsWVqxYkWOvy1fvpwuvfRSV+Lym9z2YWbDu/1YPtzxQpf4nSwPAPnj1HmkE/XqFKtT9Vqtk/M18k2HWL1YL67TzMUFAoF/+ui8Y86cOdSpUydq0KAB3XLLLVS8eHH67bff6PTp0/S///3PUl3r1q1TnU48z7Ru3bqOxQw58Ukm9/jyl9eOIYd21DV85ChKzzxFHbr1EhMTOAPffXdxx1CjRo3Ucsi9e/fO9rf77ruPPvjgA/r111+pcuXK6rH58+dT27Zt6e2336Z7773X0mthW9u3Dwse3s0ncMFDxv1W3ux4oVP8TpeHvGHfpD8nt6FT55FO1KtTrE7Va6VOXsjDyMsoPVav1ivlOm2doL4Iz+U4Onz4MPXq1Yuuu+46+vzzz6lAAc8OqvI8/pLm9UWN9EttV13NmlyRVZ+UmAC85K233qKDBw/Srl271L+//PJL2rFjh/r/AQMGUMmSJWnQoEE0ZcoUatWqFT3wwAN09OhRGjZsGNWvXz/ivACQf2b7MLPh3UYZv5U3O17oFL/T5QEgfyI5j5RSr06xOlWvlTobNmzoSL1u1qlbvU7FqjPP9ap88skntGfPHhoyZIjqNDp27JgaaQTeY/ySOXzuJnWfn2HwkdbVuHFjdZMUE4CXvPbaa/TMM8+okUPsiy++UP/m219//aUe41FG3333HV144YX0xBNPqJGkHTt2pLlz5yK/kcusDu/2cnmz44VO8btRHgCcgdWs9Fp5q+C51emHI+f4evUxv8cqkedGHM2bN49KlChBO3fupKSkJNq0aROdddZZdPvtt9OIESOylms2k5aWRnv37s322ObNm2MQNUTDzl8y7apLYkwAOtm6dWtE5Xi47uzZsx2PB6zhfRRPR4p0pCTKo30AwFlYzUqvlbd0qhexkq9WYPNcx1FqaiqdPHmSOnfuTHfeeSe9/PLLtHDhQho1apSa/jBp0qRc55MOHjw4pvFC9PiihL+gRu6E/CarjqSu6dOnq3vulJQSEwCAJFaHd3u1fLjjhS7xu1UeAOzl1A+RTtSLWM+0QdP431V7LD5RDdvLh58tqTw3VY1zXfz9998qzxGvotalSxd1f88999DkyZNVx1I4nICME08F34wTP5DH+KX64Wtq5rt3N9K68lrlwI2YAABAnkhXxQEAcBJWs9Jr5S2up0SBDCoRl+Hb1cf8HqtUnltVjbOOc/Zxzn/RvHnzrMdTUlKoRYsWaiUe7lTSMZM5AMQOvvv+gW2dNyuJ+q0m9Ud5tA9g3+RVUo4vWM1Kr5W3dKoXsZKjixlJ2Yd4suOoXbt2KkHqxo0bqVatWlmP87/r1KlDb7zxhlqFR8eNBQCxg+++f2Bb587KkupWl19HebQPYN/kZTi+AIBX9iGem6p2+eWXq3tOjh3MWNq5bNmyrsQF3sDJ0pEwHQD8xGz+vh1lvV7e7HihU/xulAcAAFxvgEye6zjq1q2bun///fezPT527FiKj4+nli1buhQZeMGcOXPUDQDAL8LN3zdbfja3uf5+Kz/j629o8rSvxMSjQ3kAAMD1BsjkualqjFdTGzdunOpE4rxGvKralClT6Mknn6ShQ4dqOzwM3Gf8ely9enW3QwGH4bvvH9jW1ufv5zbFzGyuvx/LP/Busiq/O1BSRDy6lAfsm7wExxeIBq43QOI+JJ48aMyYMVSlShUaP348TZs2japWrUojRoygBx980O3QQHPoMAIAPwpdUj235WfNll/3Y/kdp0pm+7fb8ehSHgDA73C9ARJ5bqoaK1SoED333HO0detWyszMpNTUVHQa2cDOYeV21YWY3GkrAPA3q8vPojzaJz+fBwAAAHCXJ6eqeXV4mJvsHFZuV11uxMRTIFnfvn3FxBTruvwC333/wLaOzfKzfiv/5tvv0pHjJ6l9l+4i4tG9vB9h36Q/bEOIRl7XG+Af6wT1RXhyqhrYz85h5XbV5UZMiYmJ2rWT3XUBAISbgpQbv5WvUqFc1vMkxKN7eQA/cKpDVad6EStRoPBZlHYkQ7UFtpc/P1sSeXKqGtjPzmHldtXlRkxJSUnqJimmWNcFAAB5y+t4AQBgNjp8+NxN6t6u1AI61YtYz7TBkHXF6Z1tpbG9fPrZkgojjiAi3HvK05vs6E21qy7E5E5bAYB3WfnVTNpUJpT3dvsAeJ1To8N1qhexog3w2ZILI44gYnwwGNCmRq4HhUgTMNtVVyT12FnX1OSFNOyjr0XFFOs2BwBvsvKrmdVf2PxY/un3ZtDX3y4WE4/O5QH8wKnR4TrVi1jPtEGd+DSqXTAN28unny2pMOIIbBOcgHnEPPuSOUupi+tZvOwH4h9Xuq6XE5O0dgIAPVn5pdfqr8J+LF+rYJr6/40Z5UTEo3N5AD9wanS4TvUi1jNt0LbsUUrPPEVDunXG9vLhZ0sqjDgC25idCHqpLn7evMzqND+zuqiYpLUTAOjJyq9mVn9h82P5BSfOHC+kxKNzeQC/iHTUupfrRaxEfW7vSf3v7IXt5ePPlkQYcQS24RM/HqliLPme32TO0uo6U09RgTHJaicA0FNuv5qF5qOxUtZq3V4pP+6eVqLi0bk8AOi9QpROsTpVr5U681rFOdp63axTt3p1ijVW4gKBwD9jDMDMunXrqF69erR27VqqW7cuGimGXwaJdS3btIuWbzlAV9epKCYmie3kBfju+we2deTTWLlTObdprFbKer18enq6uk9ISBARjxfLex32Tfpzahs69V1xol6dYnWqXqt1mh0/pMbqxXolxbpOUF8EpqqB2KF6Euv6ad50KrQlRVRMEtsJALzDyjRWq1NevVx+/Pjx6iYlHi+WB/Arp74rTtSrU6xO1Wu1TrPjh9RYvVivTrHGEjqOACzgHl++AQD4BXIfRdc2ZscLabmDdC8P4Fc6rRClU6xO1Wu1zkivNyTE6sV6dYo1ljBVLQ+ShocBQOzgu+8f2Nb2TmO1OuUV5dE++fk8eBn2TfpzchvqlINFp1idqhexog2i+RxIOg6g40ijjQUAsYPvvn9gWwOARNg3yTBkyBB6+umn1XUAXw9YgW0IAPkhaR+CqWoAFiQnJ6sbAAAAjhcA3rZjxw4aOnQonXXWWW6HAj6C6w2QKN7tAAB0smXLFrdDAADINyenh2HqWe7HC7SPvZ9NACc98sgjdOWVV9KpU6do3759aGyICVxvgESYqqbR8DAdlmGXGJOddSEmd9rKDZK/+2Avv21rJ5dIl7ZcO8p7u328zm/7JmlSUlKodevW9NNPP9GAAQNUxxGmqgGAX48DmKqmKePkavjcTeqe/+12XRJjsrMuxOROWwGAvZxcIl3acu0o7+32AXAKjzDizqK77rqL6tevH9Fz0tLS1EVe8G3z5s3YSADgCeg40pSdJ1d21SUxJjvr4ucl0lEqE3dUVEzS2snuugDAXrktB8udvKPmp2br7A1X3kpZP5aft2I9jZi+TNv4JZU3KwvgpDFjxtC2bdvoxRdfjPg5o0ePzlpG3bglJSU5Gid4086dO9UNQBJMVdNoeJhTw7ntqktiTHbWxfVMHPcecX/IzMx6YmKS1k521+UWqd99sJ8ft7XZVNLcvreh5a2UtVq3V8qHO17oEr+U8l44nkTLj/smCfbv3081a9akQYMG0cMPP6wea9myZZ5T1XjE0d69e7M9xiOOuPMI2xCs4E5I1r9/fzScz60TdBxAcmxN8UkTnzzZkUPGrrokxmRnXfy8nS2b06bdR2lK08vFxCStneyuCwDsx9/J0O+l2UhBo0xoeStl/Vr+55MVRMWja/ncygI44emnn6bExEQ1Vc2KcuXKqRtAfjVr1gyNCOJgqprG+MRpQJsaEa1wk9cQ70jqsqueWMdkZ103tGpCj/S4RlRMXm9zAIiN3KYV5aesX8tvPV2atpwqLSYeXctbrRsgP1JTU+ndd9+lgQMH0q5du2jr1q3qdvz4cTpx4oT6/wMHZJyzOHUO5US9OsXqVL1W6uS8WpHm1nI7Vq/Wi2uUnDBVTaPhYdHw8pQoxIQ2d5Lu332IHLb1v8ymFdlRFuXRPrH8rHkF9k2xt3DhQmrVqlWuZR544AF64403XN2GTk3hdKJenWJ1ql7EijbwwnEAU9U8zq4h3nYOFdc5pkmTJqn7Hj16iIkplnVJjAkA7GM2rciOsn4sv2npbCrDz2vTQ0Q8Ope3WjdAtPgCbdq0aabT144cOUIjR46kCy+80PUGduocyol6dYrVqXqt1pnX9YakWL1YL65RfDpVbciQIRQXF6cOBH5k1xBvO4eKIya0ud2fKQAAAID8KlOmjEpmHXrjx88++2z1/5FOIXKSU+dQTtSrU6xO1YtY0QZe4Ompajt27KBatWqpjqPzzz8/15UQdBgeFi27hnjbOVQcMaHN7f5M2c0L332IjJe3tZPTyTBVzb2291t5yccKJ3l536SbSFZVi/U2dOp74US9OsXqVL2IFW2g+3HA0x1H3bt3V8tinjp1KqqdvbSNBQCxg+++f3h1W1vNqWClvJN1ozzaJz+fBS/x6r7JT7ANAcAr+xDPTlVLSUmhzz//POLkdQCRWLNmjboBAEhnNkffrvJO1u2V8ucX2E8XFNwvJh5dy1utGwBywmpWeq28NXPBMnpt0lxfrz7m91gl8mTHEY8wGjBgAN11112W5iGnpaWpXr3g2+bNmx2NFfSyaNEidQMAkC63nApmJzlWyjtZt1fKXxL/J10c/6eYeHQtb7VuADAftTd87iZ1b9f3xYl6EeuZNliwMIV2bFyF7eXTz5ZUnlxVbcyYMbRt2zaaN2+epeeNHj2aBg8e7FhcoL/OnTu7HQIAQER4Og9P6wnN0xA89WfEvH+n/lgt72TdXij/V6dOtGbHIZrSoJaIeHQub6UsAGSH1az0WnmL61mUeT75vQ38HKtUnus42r9/Pz377LP0zDPPUNmyZS09t3///tS1a9dsj/GII15BAYBVqlQJDQEA2jBbxjy3kxwr5Z2s2wvl2za8iNo2JG3jl1Teat0A8C/ucOXOVSNPmJ2rj9ldL2I12qA4tpePP1tSea7j6Omnn6bExEQ1Vc2qcuXKqRsAAIBXWT3JsVLeybpRHu2Tn88CgF+FG7UnsV7EijbAZ0suT62qlpqaSrVr11YJsTt16pRtdbW//vqLZs+eTSVKlFAdS9Izmdu5ZKNddSGmM9MZjdFpOrWTnXVJjMnrqxiAs/y4rSUtne7V8uGOF7rEr0N5yccQO/hx3+Q12IYQjUiuN8Af1gk6Dniq42jhwoXUqlWrXMs88MADllZac2Nj2bn0rF11IaYzkpOT1X379u21aSc765IYkx921OAsbGtwQl7HC4C8YN+kP2xDiAaOHyBxH+KpqWrcqNOmTTOdvnbkyBEaOXIkXXjhhSSdnfP27aoLMVFEFwAS28nOuiTGBAAgETqMAAAAxw/wigLkIWXKlFGJrENv/PjZZ5+t/r9+/fokXW5Lz7pVF2LSt53srEtiTABgfVlyJ8tLigXlvd0+VusGAACA6Hhqqlo4LVu2pH379qkhXlYhx5Hs3DaxjiklJUXdN2/eXExMsa5LYkxeHxoKztJ9W1ud9ulkeUmxuF3e7HihU/zSy0uf7mwH3fdNgG0I0YnkegP8YZ2g44CnpqrllvtIN2ZLz0Z70W1XXbrGZGddP/70M6VnnqKzqtYTE5PX21xy5xKABFanfTpZXlIsbpc3fqwKPvHXKX7p5THdGQC8yuz4AeA2T01V8xPjl7bhczep+/wM07arLokx2VkXP++93VXow/3VRMUkrZ3srMvOmMBbPwbExcWZ3r7//nvyG6vTPp0sLykWt8v36dNH3aTE47XymO4MAF5ldvwAcJsvRhx5kcQkxRJjsrMuft7xwD9fGUExSWsnO+vCL8qQm4EDB1KjRo2yPVa9enXfNRp/t3iajtnIPLMRe3aVd7JuL5Rfn5YuKh6dy9tRNwCALhISEtwOASAHdBxpik+GRsw7c1FuR5JiO+qSGJOddfHzxs4/ruo5RkXFxCStneysy86YwHuaNWtGN998s9thiGA27TM4Bwx/j4JzwOS3vJN1e6V833cW/FO+qIh4dC1vZ90A0jnV6alTvYiVKGXNFlq17SA1q38+tpdPP1sSoeNIU7n90uZWXRJjsrMufl6vc3epHEcduvUSE5O0drKzLjtjAm86cuSI+mUuPh6HM8n5ZfxYvlWhzer/p2fUExGPruWdjgVACqc6PXWqF7GeaYNpn0/hyQ305pJ62F4+/GxJhRxHGuMP5YA2NWz5cNpVl8SY7KyrWZMrqF2LpqJikthOdtZlZ0zgLTz/v0SJElS0aFFq1aoVrVixIs/npKWlqRUqgm+bN5+5wPcaSfll/Fj+11PlaOPJcmLi0bW807EASGHW6em3ehHrmTbYcPLM8QPby5+fLanwEy2ABY0bN0Z7AbiscOHCdNNNN1HHjh2pTJkytH79enrttdfU1LWlS5dSgwYNwj539OjRNHjwYPIDqyP2rJR3sm6vlH/p7s6q/BAh8eha3ulYAKRwanq+TvUiVqMNznQaYXv587MlVVwgEPinjwzM8K/R9erVU8si1q1bF40E4BP47uuFRw1dfPHFauna5OTkXEcc7d27N8dzk5KSsJ8HAFFwHPLfNtQtBwtyHOnTrk7Vi1jJ0RxHko4DGHEEYMH06dPVPV9kAoAcvJpa586d6YsvvqBTp05RwYIFTcuVK1dO3XRl9eTEyfKSYpFY/v2Jn1LakQxq1/F6EfHoXN7pWACk4M+rE59ZnepFrETbf0qhyqot7L3ewPbS53sgETqOACw4cOAA2gtAqMqVK1NmZiYdO3ZM5T7yGqsJGJ0sLykWqeVXpu4gzm7Kz5MQj67lnY4FQFcY6eHdNrByveF2rF6tV6dYYwXJsQEs6Nu3r7oBgDxbtmxRibKLFy9OXmQ1AaOT5SXFIrX8rIzaNCuztph4dC3vdCwAOjI6SIfP3aTu+d9S69UpVqfqtVpnpNcbEmL1Yr06xRpL6DhyAX9IRs1PzfeHxa56vB6TnXUhJr3bHLwhNEcR+/nnn2nmzJnUrl07KlDAm4c2P610hfJon1h9FgB0pNMKUTrF6lS9iBVt4IUfNpAcO8YJqYKHUPMJTbRDqO2qx+sx2VkX1/PAu8mqnt2BkmJiktZOdtZlZ0w6J6OD7Fq3bk0JCQnUtGlTla+IV1V79913qVChQrRs2TKqU6eOZ7d1uCHObjwuKRaJj3+z9Cdav+swtWxUX0Q8Oj/u9GtKpdO+CWK7DZ06P3KiXp1idapeq3Xyoh1G/kbpsXqxXkmxrhN0HECOoxgz62mM5oNoVz1ej8nOuvh5DeO3q/+fnlFSTEzS2snOuuyMCbyDk9N//PHH9Prrr9Phw4epbNmy1KVLF3ruuefyPMnSnVkCxtxyujhZXlIsEsv/vnoZJajntRARj87lnY4FQDf82eXPsN0doU7Uq1OsTtVrtc45c+ao+7zOaSTE6sV6dYo1lrw5nl8wu4ZQ2zkU28sx2VkXP2/Fycq0/ERlUTFJayc768KUAzAzcOBA+uGHH2j//v104sQJ2rVrF3300Uee7zQKx0/5aHQqz9Mm+SYlHq+VR+4j8Du+6BzQpobtF59O1KtTrE7Va6VOs+OHHfV6sV2dqlenWGMFHUcxZvQ0PnxNzXz92mVXPV6Pyc66+Hkj+7WnHm0aiYpJWjvZWZedMQF4laR8QJJicbs8d2SGdmbqFL/08sh9BABeZXb8AHAbchzlwa15hXbOw7erLsSkbzvZWZfXY5I4pxic5YVtbfU74GR5SbGgvLfbx+lY3OaFfZPfYRsCgFf2Ieg4ErixvJ6kWOeYxo0bp+7DLZEpsZ3srMvrMUndUYOzsK3BCXkdLwDygn2T/rANIRo4foDEfQimqglk51J9dtWFmM5ITExUN53ayc66vB4TAIBd8jpeAAAA4PgBukDHkUBeT1Ksc0y8mhPfJMUUy7q8HhOAFDySbtT8VHWvW3lJsbhZPtzxQpf4dSjvdCzgPz/++CP95z//Ub/sn3XWWVSlShXq1q0bbdq0ye3QwEfyut4AcAOmquUBOY78k9vGyzHZWZfXY5I4NBScJW1bW51+Kam8pFhQ3tvt43QsEkjbN/nBzTffTEuWLKGuXbvSxRdfTLt376a33nqLjh49St9//73aHlZgGwJAfkjah8S7+uoQFp/M2HVCY1ddiIlo+fLlqi0aN26sVTvZWZfXYwJwm9n0y9w+35LKS4rF7fJmxwud4pde3ulYwJ/++9//0ieffEKFCxfOeuyWW26h+vXr0yuvvEITJ04kKZxK9u5EvTrF6lS9VuqM5HpDSqxerVe3xRRiAVPVACxYsWKFugEAOCW36ZdmU23cKi8pFonlFy37geZ8t1RMPDqXdyMW8KemTZtm6zRiNWrUUL/0b9iwgaQwRtANn7tJ3dv12XWiXp1idapeq3VGer0hIVYv1utUrLrDiCMAC7p37472AgBH8S9bPI0m9Jeu4Kk2I+b9O9XGjfKSYpFa/sM9FVX5cWOWiYhH1/JuxQJgCAQCtGfPnjyniaSlpdHevXuzPbZ582ZHGtKpEXRO1KtTrE7Va7XOSK83JMTqxXoxQtUnHUec1O6DDz6gBQsW0NatW6l06dJ05ZVX0ksvvUQ1a9Z0OzzQHFbIAYBYMJt+mduJTKzLS4pFavlDp4tm+7fb8eha3s1YANjHH39MO3fupBdeeCHXBhk9ejQNHjw4Jo3GnZ/c0Wnk7LJrYRAn6tUpVqfqtVpnpNcbEmL1Yr1Oxao7z01Ve/XVV2nq1KnUpk0bGjlyJPXr149SUlLosssuU0mlAPIjPT1d3QAAYs3qCoJOlpcUi9TyReNOUmE6KSYeXctLigX8Z+PGjXT//fdTkyZN6I477si1bP/+/dW1RvBt+vTpjsRljKB7+Jqato6Sc6JenWJ1ql6rdUZ6vSEhVi/W61SsuvPcqmpLly6lhg0bZpufnJqaqpLa8UoJVpPaScpkDu7jX5OMkwPwNnz3/UOnbW01WaOT5SXFIrH88JGjKD3zFHXo1ktEPDqXlxRLLOm0b/IiXlHtqquuohMnTqgV1SpWrGi5DmxDiAauN0DiPsRzHUfhXH755ep+5cqVjm0sicuU21kXYiI1eo01b95cq3aysy6vxyRxRw3OwrYGJ0RyvADIDfZN7jl06BC1bNmS/vjjD1q0aBFddNFFUdWDbQjRwPEDJO5DPJfjyK2kdnYmV5RYF2KiiC4AJLaTnXV5PSYAALugwwhAT8ePH6dOnTrRpk2baN68eVF3GkmCZdD1WrL9rKr1VL1nbTvg2zbwe6wSeS7HUW5J7W655ZY8hwVyj17wLSkpKaLXMEuuGC2JdSEmfdvJzrq8HhNArFldBlxSeUmxoLy320dSLOBtp06dUtcLy5YtoylTpqjcRrrDMuh6LdmuU72IlRxrA4k833EUq6R2diZXlFgXYjojOTlZ3XRqJzvr8npMALFk9WRDUnlJsUgt/7+xn9KihfPExKNreUmxgPc9/PDDNHPmTOrQoQMdOHBA5UYNvunIqR/YnKgXsZ5pg4bxf1DjQn9ge/n0syVVvNeT2l133XVUsmRJ+vzzz6lgwYK5li9Xrpy65Sf7uh3D1CTWhZjO2LJli3btZGddXo8JIJasLgMuqbykWKSWr1DgsKh4dC0vKRbwvtWrV6v7L7/8Ut1C3XbbbaQbLIOu15LtXM+WlMPEuyW/Llvv91ilivdyUjv+teDgwYMqqV00KyFYxScadq3eEUldkc6ntKsuXWOys64rruuu6uH6pMTk9TaPdUwAsWL1ZENSeUmxyC1fT1g8epaXFAt438KFC8lrnPqBzYl6EeuZNqC+d6t2nYLt5cvPllSeXFWNk9q1a9dOraDGSe3yMz/Z7kzmwYl8+QTFjoTA+anH6zHZWRdi8lebS1rFAJzl5rYO15mpw+OSYsHj3m4HSbHEEo5D+sM2BACv7EPivZzUbsaMGeKS2tk1JNrOodVejsnOuvh5iXSUKI5oX6C4mJiktZOddUmMCcBOZqPlclspUFJ5SbFILF8+Pp261C5GlSolahm/pPKSYgEAcBov6sQqVaqExgYxPJccW3pSO4kJgb0ck5118fOaFd5KVxfeKiomae1kZ10SYwJwmtVEi5LKS4rF7fL84xXfpMTjtfKSYgEAsJPZ8QPAbZ4bcSQ9qZ1d8yDtnE/p5ZjsrIuft7Nlc9q0+yhNaXq5mJiktZOddUmMCcBp0nK66JyPxs3yzZo1ExWP18pLigUAwE5mxw8At3kyx5FX5xUCQOzgu+8fEre11dwqkspLigXlvd0+kmLxy74JrME2BACv7EPQcaTRxgKA2MF33z+wrQFAIuyb9IdtCABe2Yd4LscRgJMmTZqkbgAAVvDIhVHzU9W918tLisXN8uGOF7rEr0N5SbEAANgF1xsgkedyHAEAAEhidXUmnctLigXlvd0+kmIBsItT0yN1qhexEh1KP0EHjmWqtsD28udnSyKMOAKwoEePHuoGABApaas/+WmlKzfLmx0vdIpfenlJsQDYweisHD53k7q3a6SbTvUi1jNt8L/U0vTuzgrYXj79bEmFjiMAAAAH8S9QvCqTOuhGuJqTruUlxYLy3m4fSbEA2MGpzkqd6kWsaAN8tuTCVDUX2DWczc5hcV6Oyc66Zi5YRpt2H6VWTS8XE5PEdrKzLr8M/wTv4s8tT3Mx+xybfb51KS8pFonlzY4XOsUvqbykWMKVB8gv/jzxtEjuhLGzs1KnehHrmTaY/u1+4j65radLY3v58LMlFVZVi3Em8+A58/zhinbOvF31eD0mO+vieiaOe0/tyGdm1hMTk7R2srMuO2PSeRUD8Oa2tvr5llReUixSy1s5XkiMX0p5SbFEUz4/cBzSn9VtqFsOFuQ4cqZdh48cRemZp6hDt17YXj7PcbRO0PUIpqrFmF1DMO0cyunlmOysi5+3KPN8Wpx5vqiYpLWTnXUhxwR4mbQcLTrnl5FY3srxQmL8UspLiiWa8gBW8EXngDY1bL/41KlexErU/eYu1OfWrthePv5sSYSOoxiza868nXPvvRyTnXXx8w5QcdoXKC4qJmntZGddyDEBXiYtR4vO+WUklrdyvJAYv5TykmKJpjyAU3iUw6j5qbYn43WiXp1idapeK3VWqlRJ3eyu14vt6lS9OsUaK5iq5sLwMIm5X7wck511ISa921zXoaHg3W1t9fMtqbykWFDe2+0jKZZoykcLxyH9ObUNnZoy6US9OsXqVL2IFW0Q7edA0nEAybFdwB8QO06SIqnHzrp0jcnOun74ejIV5Pra9BcTk9fb3M6YAKSJ9PsrsbykWCSWj+R4Ect4dC4vKZZoygPYzWzKpB2fSSfq1SlWp+q1Wufo0aPVff/+/cXH6sV6dYo1ljBVTSCjN3L43E3qPj9D2eyqCzGdccEFF6ibTu1kZ11ejwkAwC55HS8AAKLl1JRJJ+rVKVan6rVaZ6THDwmxerFenWKNJYw4EsjO3ki76kJMZ7Rv3167drKzLq/HBJBf0qbIYPqQe21Ztk5jVb7stgOubyvdy0uKJZryAHbjzx1Pc7H7c+hEvTrF6lS9VuvM63pDUqxerFenWGMJHUcC8QdpxLwzF8F2JCm2oy7EpG872VmX12MCsGvuOn8mrSzrrVt5SbGgvLfbR1Is0ZQHcIpTUyadqFenWJ2qF7GiDXSf6oyOI4Hs7I20qy7EdEZKSoq6b968uTbtZGddXo8JID+sjn7TubykWKSWr19wl/r/n09WFBGPruUlxRJNeQAAq/K63gBwA3IcCcUnIQPa1LBtuJ0ddSEmUhnt+aZbO9lZl9djAnBi7rrZ8qs6l5cUi9TyFxQ8QNUKHhATj67lJcUSTXkAAKsiud4AiLW4QCDwz+8mIH0JPHBfenq6uk9ISHA7FHAYvvv+Yee2Nst9ktvyqzqXlxSLxPLLNu2i5VsO0NV1KoqIR+fykmKJpny0cBzSH7YhRAPXGyBxH4KpagAWoMMIAKzOXc9taovO5SXFIrF8k5oV1U1KPDqXlxRLNOUBAKzA9QZIhKlqABYcOHBA3QAAnFp+VefykmJxu7zZ8UKn+KWXlxRLNOUBAMLB9QZIhKlqGg0PA/eNHj1a3ffv39/tUMBh+O77Ryy2tbTlwbF0uvNtE+54IWlb6V5eUizRlM8LjkP6wzaEaOB6AyTuQ9BxpNHGAvctX75c3Tdu3NjtUMBh+O77B7Y1OAHHC8gv7Jv0h20I0cDxAyTuQ5DjyEZ2/tIksS7EFFmHkcR2srMur8cEAGAH/MAAAE5y6tzHiXp1itWpeq3UaeX44XasXq0X1xY5YcSRTb18dq6mIbEuxKRvO9lZl9djktrDD86KZltLm/IiqbykWFDe2+0jKZZoyucFxyH9ObUNnTr3caJenWJ1ql7EijbwwnEg38mxf/jhB3si0ZzZahpeqgsxnTF9+nR106md7KzL6zH5ic777oyMDHr88cepYsWKauWRK664gubOnRuz1zdOAIfP3aTu+d8oj7YJ/SyYHS/w2bHvu6J7W4L+xyI3OXXu40S9OsXqVL1W68zrekNSrF6sF9cWDnUcNWnShGrWrEkvvvgibdmyhfx6UWHnahoS60JMka1yILGd7KzL6zH5icR9d6R69+5Nr7/+OvXs2ZNGjhxJBQsWpI4dO9LixYtj8vpWTyj8VF5SLG6XNzte6BS/9PKSYommPMg9Frn944Sb5z5O1KtTrE7Va7XOSFdVkxCrF+vFtYVDOY4mTpxIH3/8sdrhP//883TllVfS7bffTt26daPExETXLio+//xzevDBB6lGjRo0YcIEdVGxYMECuvrqqx15TR7CyEMZ7RiiLLEuxHRG3759tWsnO+vyekx+InHfHWnCyMmTJ9OwYcPokUceUY/16tVLDeN97LHHaOnSpY7HwJ+zEfPOXBxGuky3X8pLisXt8mbHC53il15eUizRlAe5xyI3riOknPs4Ua9OsTpVr9U687rekBSrF+vFtUUYAZvs3bs3MGrUqECTJk0CcXFxgSJFigQ6d+4cmDJlSiAjIyMQKz/88AP/3hMYNmxY1mPp6emBCy+8UMVm1dq1a1V9fA8A/uGX776UfXekHn300UDBggUDhw4dyvb40KFD1fb6448/YrKtV2zdH3hz3iZ179fHJcWCx73dDpJisfPxvPjlOCTpWITrCACQZK2g44AjybF/++03+uSTT9QvCKmpqVSyZEm6+eab1a/CTvfU8y/OPIWBh/eVKFEi6/GXX36ZBg0aRH/88QdVrlzZ1YRUEleS8nJMdtb1zdKfaP2uw9SyUX0xMUlsJzvrcismScnoYsXNfXekrrnmGtq5cyetX78+2+Pz58+ntm3b0syZM6lTp05hn5+WlkZ79+7N9tjmzZspKSmJxowZQ/fcc496LCUlRW37Pn36qKkKfEzhkU4NGzbMWu2E8w/w48Yvg7x/mDN7Dv1wojLtDpRUv4D9PH+6+tWc6zdGTK1YsYK6d+9Ovx8h6jlmEbUvvJG2nkqkZ+6+SX0uk5OT1ZSN/v37q+fw+50xYwadV6cBPTjngBrR0LZwKjU8P5Hu7dtLlVmzZg0tWrSIOnfuTJUqVVKPDR85ipbvi6cfTlRRIyCGNomnAzt+C/ue+Pvxxvuf0NmUQcknaqv4S544QHPmzKF27dpR9erVVb3jxo2jQOGzaMi64iqWOvFp1LbsUepze0/1XtPT02n8+PHq+9O8eXP1nA+nzKCf1m6kaRn1VCzv3lSNNi1fSM2aNaP69eurMpMmTVL3PXr0ULE89u5XVD/+T1p64nx6+55rVNuMHj2aLrjgAmrfvn227dSgbRL1HP8TnUXHqW3hzXR1kyvopvYtTbcTb+8ZX39D09JK045TJVU8D1bZSVUqlDPdTvyelm3aRZ99/BFtOZVIa05VVG2zd8Ny0+3E7ymzRCV64N1kuqTgTsqgQnTfnb1U/Gbbid9T8bKV6PlV8ao9L43fRc3KHqf+/e4K+9l7f+KntDJ1B83KqK3i/79OFen31ctybCfjs8ft+fR7M6hWwTRacKI6jbunFV1ULiHHdjI+e1dc113l6Umko9Ss8FZq1bI53dCqSY7tZHz25ny7kD7dU47SThdX8dxffgvVrVUjx3YyPnspa7bQtM+n0IaT5WjT6XKqPbf/lJJjO/Fnr9qlTej+L3eptulYZCNdXuM8uvO2W0y3E3/2Rr87lhbtLUqrT1ZUsTx/2Uk6unen6Xbizx63zdvvf0h8MrzgRA0VS+HDO023E3/2ytZprNqmfsFddEHBA9St5+3UpGbFsPuIP/5Mozf+qKTiP6/gIbqx3H7qfF0H0+0U+p7+/PNP3x2HGK4j7IfVrPRaecvO6w1d28DvsUq8Hsl3jiMzfFJQrFgxKlq0KI9oori4OHWQbtGiBTVq1CjHCb+dfvrpJzVXOrjTiBkH8dWrV+d6QcEbJ/jGJy4sOHcGnwDxCQSfoDA+WeB/88HewCcLfDJg4Hq4DO8IjOSJ748br07+DPx8LmPMaVUnQKNHq9cz8EkdP2YkYfxg3iqaOO49mrlgWVYZPqkzTuyMkzp+Dp8sGfjfXBfjul58byr9lvKFuojhf1t5T0Yb8fP4Pf2wcHZWYkgr78nAcfIFD180GEkmx4z70NJ7Ct5OfMLPdbw77xfVVlOTF0b8nhj/ncvx++GLwrQ1S1Q9fOJr5T3xvzluo634RHX1d19ntZWV92R89jgGjuXrbxdn1WPlPRl4O3Gb931ngWpz/hzwv628p+DPnvH5nPbtMhXfvBXrI35PwZ89ox7+TPFny0g2Gul7Cv7s8edAxbJgYVZbRfKe/MTNfXek+EKqQoUKOR43Htu1a1euz+ftywfg4JtxwZZffJJn/BJjNScK3+VVftPuo9nKHziWmWv59MxT2eL5Y//fecZj/JSUV/xpRzL+jSVw5rVys+tgerZY1uw4lHcsQeXzapvlWw78Gw8Rbdl7LNfyHG9wPpojx0/mWb/VbdswfjuVKnA8om3L7RMcf17tye1vBMTP48+eXdvWKB8cD3/2rLRnXvGv2nYw4vbk92bUzU9S7z2PWILr5ra187MW2jb82cgNf7astA3gOoJFey5nds49eeaZ83I+v/vf2E/V+V0k53KGcOen/IOAUS9fR3C9+X1Pb779rvoBwzj/53P2aK4jQt8TX0fwebdRL183WT3nDn1Pxo8tG76bmXVemZ/tZLwnridlztd0aO13WfXmZzvZfb0X/J6M83S+DsnvtZET1xHB74k/W8bnlX/Y4c9rfrYT4zi4HqPe+96Zq/6dn+1k9p48k+PIcOTIETUfmH+p/u6776hAgQLUoUMHevbZZ9Wvv/zvadOm0cMPP6x+cXJqFYX8XFTwBho8eDA5yeoJUJ4nLnGRndRZPWmq1sD63Hx1shVyYnrF2dHFFHrixxdIJRMKRVVX1gVFXGQXFOHw++GRBJULHKQKBY+oE9/mZ34ot6XNW5azXo/ZyXfk4+nyd+Jv5cSaLxLbNsxfPVwR/zvannyzC78aUdXkLVL23ZHig2iRIkVyPM6dXcbfc8OjDrp27Wo64ih4VBWPwDBGYTAeEWCMWDCEdjjxL4NdVx7NluPk8jZ9c/yIYfyQ0bQ60Yh58TT9n1E4z/6TE8UYpWHgEQ/82nwiNfqXM0sE88iI/jecGQHCeOSEMXLH0KFbLxo35syPClx/m9Ytsn1/Qt/TmRwt1bLFX71qYtbICAOPCOFY3vtnuWIeMTKkW+esfCTcARnaVte0a6dOrIxYmjeoRZcn/Rt/8AiWf2MpTVsySmfLFxNar7GdOJ6R322jI4GiNDOzHk1p3iTsduL3E9o27bt0z9Y2wduJXV2nIo38rl72bVu1hul2YpnbDtCn31ZW5Xn0Wf9/4jfbTsa2ffef9uQRTc92a6La0Ww7sXYdr8/Wnmd+lW6RYztlb89ytDGjXFb8ZtvJ+OxxPJyvZ1+g+Jn2bHq56XYy3hOPsApuT27f4PYM/T41q38+vbkktD1zbie+cSz/t/JM26iRcB2bhN1O/J5Cty1/9oJjCd5O/7ZNjWyx1K+aaLqdWNl/2ubnkxXPjD6rUzHsduLPXmX+Ue2fbcufhQ7d2qvvldl2Cn1PfE7rF1KORdKvI6LBPxqcDhSOuGM6Umc6vM+2tV7uaA3u5OZz9rPyXeuZ64jgc0C+biqWzzqzOuTj/j2v7FD1nyzN+ax39+niVDqOt9uZf3epnd9o7bvey+18Pz/XRk5cR8SiEz/dxusn6fI9VY1/jead/FdffUXHjx9Xv0rztAYeYlu6dM4P43vvvUf3338/ZWbm/ktptC688EKqVasWzZo1K9vjPPSa/zZixAiV7M7qFAa7hocZPajGCQoPiY7mQtiuerwek511ISZ/tbmkoaFOkLbvjhRvk3PPPVdNTQvGo6F4OwVPN4uUndva6nBlnctLigXlvd0+kmKJRXm/HIckHoukX0dEw85zKafrRaxoA3y2BB8H8p0kKS4uUKVKlcCgQYMCGzdujCjpXO/evQNOqVu3bqB169Y5Hl+3bp1KLDVmzBjXE1JFmyTRqXq8HpOddSEm/7S5pGR0TpC2745U27ZtA3Xq1Mnx+Lx589T2mjlzpuU6vb6tAUBPftg3STsW6XAd4fa5lNP1Ila0AT5b8vYhLN9T1b799ltq2fJMAspIhA4rthsPJQ2eM2gwhvtWrHhmSLGbuDferqUC7VzK0Ksx2VkXJ7rlIbOh00/cjEliO9lZl8SYvEDavjtSl156qVoS+fDhw9ly2RnTFvjvbpI2cgGjQNxrS86nwEPjQ6fBuRWPzuUlxRJNedDnWKTDdYSk8x8n6kWs9l5vON222F7km+uLfCfHtrKzjwW+aNi0aZO6qAgm5aIC9MY5DIw8HgA6k7bvjhSv8nbq1Cl69913sx7LyMhQq0NdccUVllbNtJsxxN5Ivmkkc/dieUmxSC3/45+ZtOHAaTHx6FpeUizRlAe9jkW4jgAJcL0BEjmyqpqbJF9UgP54nrpdKzABgHW8H+fk1k8++SQ99thjal/funVr2rp1K/3vf/9ztUmDkzlaXZ1Jt/KSYpFaflFmNVp8opqYeHQtLymWaMqDXnAdARLgegMk8lzHkeSLCgAAyL8PP/xQJSf96KOPaODAgXTixAmVWDV41SY38LQVThDKglcC82J5SbGgvLfbR1Is0ZQHveA6AgDAoVXVJOJVGZ555hmaOHEi/fXXX3TxxRfTiy++SNdee63emczBdcuXL1f3EnK9gLPw3fePWKyq5sXHJcUi8fGpyQvVUtKtmzcRHacOj0uKJZrHo4XjkDtwHQFuw/UGSDwOeLLjSPrGsuvEws4TFC/HZGddw0eOovTMU9ShWy8xMUlsJzvrcisJqaQdNei9ra0uL6xzeUmxuF1+9OjR6r5///4i4vFaeUmxRFM+EjgO6Q/bEKJhdvwAf1on6HrEc1PVpLMrqaKdyRm9HJOddfHzPtxTkT49UFlUTNLayc66kIQUvEBazhXko4lN23Tv3l3dpG4r3ctLiiWa8gAA4ZgdPwDcho6jGLPrxMLOExQvx2RnXfy8Q6eL0pFAUVExSWsnO+vCiTh4gbScK8hHE5u2MVsVR9K20r28pFiiKQ8Q7gezUfNTbV+tT6d6ESvR70eIPv5pP7aXjz9bEmGqWoyHh9k1lNnOIdFejsnOurienmMWqXpOxsWLiUlaO9lZlxND/3UcGgr6b2urUy51Li8pFjfLp6enq/uEhAQR8XixvKRYoimfFxyH9GdlGzp1zqNTvYjV3usNbC89P1tSjwPxrr66D/EHiT9Q+T2xsKser8dkZ138vLvL/2FLjiO0eWzbCcBt/Nm18vnVubykWNwsP378eNMcFbrEr0N5SbFEUx4gr1HWdnyedKoXsZ5pg/aFN6r2mJ5RD9vLh58tqdBx5AK7TizsPEHxckx21tWowSVZ9UmJSWI72VkXTsQBQEf8CyEAQKT4B7IR885cfNo53VGnehHrmTaYvyCRuC8C28ufny2pMFVN6PAwr69uhZjQ5lI/BxKHhoKzMFUN04ckT2dCeX3axm44DunP6jZ06jOnU72IFW2Az5bM4wA6jgRuLK/nmkFMaHOpnwOpO2pwltPbWtoy4FgiXY+2RPnc20daWzoBxyH9YRsCgFf2IVhVTSCvr26lc0zJycnqJimmWNbl9ZgAnCBtGXAskR6btjE7XkjaVrqXlxQLAICd8rreAHADOo4EsnNJV7vqQkxnbNmyRd10aic76/J6TABOyO0zaraEqy7lJcUisfy6X1NpxZqNYuLRubykWMKVB4g1nZYW1ylWp+q1Umde1xvR1uvFdnWqXp1ijRVMVcsDchz9CzmO9G0nO+vyekwSh4aCN3Mc5TYVRnp5SbGgvLfbR1IseZW3G45D+nNqGzr1OXSiXp1idapexIo2iPZzIOk4gFXVhPL66laICW0u9XMA4ASzz2huS7hKLy8pFpT3dvtIiiWv8gCxotPS4jrF6lS9iBVt4IXjB6aqAViwc+dOdQMAyC+r0ywllZcUi9Ty5QocpTJxR8XEo2t5SbFEUx7ACU59Dp2oV6dYnarXap2RXm9IiNWL9eoUayxhqloeJA0PA/eNHj1a3ffv39/tUMBh+O77h5vb2uo0S0nlJcUisfzwkaMoPfMUdejWS0Q8OpeXFEs05aOF45D+nNyGTn0OnahXp1idqtdKnVauN9yO1av1Sol1naC+CHQcabSxwH1r1qxR9/Xr13c7FHAYvvv+gW0NTsDxAvIL+yb9YRtCNHD8AIn7EOQ4ArAAHUYAAIDjBQAAOAXXGyARchwJXV5PYl2ISd92srMur8cEEEtWP7uSykuKBeW93T6SYgEAAPAjTFWzaXiYncssSqwLMZ0xadIkdd+jRw9t2snOurwek9ShoeAst7a11c+upPKSYpFa/u33PyRePGXBiRoi4tG1vKRYYg3HIf1hG0I08rreAP9YJ+h6BCOObGK2vJ6X6kJM+raTnXV5PSaAWLL62ZVUXlIsUsv/U1xMPLqWlxQLAACAX6HjyCZ2Lq8nsS7ERFk9/7n1/ktsJzvr8npMALEkbdlwPy2RHovyPNJofmYNMfHoWl5SLAAAsZDX9QaAGzBVzcbhYXYu2yexLsSkbzvZWZfXY5I4NBSc5ea2DvfZ1eFxSbHgcW+3g6RYYgnHIf1hGwKAV/Yh6DjSaGOB+7A8pn/gu+8f0ra1tJwuOuejcbO82fFCp/ill5cUi1/2TSBrGzrVselEvTrF6lS9Vuq0cr3hdqxerdftHw4kHgcwVc0Fdq3eYecqIF6Oyc665ny7kGYkzxcVk8R2srMuiTEBOElaThed89G4WX7RokXqJiUer5WXFAtArBkdm8PnblL3dp3XOFGvTrE6Va/VOs2OH1Jj9WK9TsWqO3QcxZhdH0Q7P9BejsnOuvh5n+4pR9MPVBAVk7R2srMuiTEBOE1aThed89G4Wb5z587qJiUer5WXFAtArDnVselEvTrF6lS9Vus0O35IjdWL9eKHA3Px5CHz58+njz/+mBYvXkw7duyg8uXLU+vWrenFF1+kChUqkARmH8Rohr/ZVY/XY7KzLn5e2uni2f4tISZp7WRnXRJjAnAafy55WkykQ6QllZcUi9vlK1WqJCoer5WXFAtArPFncsS8M+czdnZsOlGvTrE6Va/VOs2OH1Jj9WK9TsWqO0/lOGrYsCEdOHCAunbtSjVq1KAtW7bQW2+9RcWKFaPVq1erjiS35xXaNWfezrn3Xo7JzroQk7/aXNKcYnAWtjUASIR9k/6Q40i/3DZO1YtY0Qa6Hwc81XGUkpJCV199NRUoUCDbYy1atKCnnnqKXnrpJREby64dh507IC/HZGddw0eOovTMU9ShWy8xMUlsJzvrcismSTtqcJbEbW31cy+pvKRY3Cw/evRodd+/f38R8XixvNOxuE3ivgmswTaEaIQ7foD/rBN0HPBUx1E4pUuXppYtW9LUqVO13ljgvuTkZHXfvn17t0MBh+G77x/StrXV0XGSykuKxe3yZscLneKXXt7pWCSQtm8CfbchRrvoNYrowykzaNfBdLqmXTuMpNJge6108EcJKfsQXyTHPnr0qLqVKVMmz7JpaWlq4wTfNm/eHJM4QQ98AYBOIwBwkrTVonRe6crN8mbHC53il17e6VgAvAKrWem18hbX8/yqeBrz29m+XX3M77FK5fmOozfeeIMyMzPplltuiWhYIPfoBd+SkpJiEicAAIDE1aJ0XukK5b3bPlglDSAyWM1Kr5W3dKoXsZKvfpQQu6ra6dOnVYdPJIoUKUJxcf+caQTh/EaDBw+mbt26qdXV8sLzSDmxdjAecYTOIwj+TLHmzZujUQDAEbmt5mQ2HNqt8pJikVh+8szZ9Mf+v6lN6xYi4tG5vBuxgD/psEKzVVjNSq+Vt7ie+Qt2EfdFrDlV0Zerj/k9VqnE5jhauHAhtWrVKqKyGzZsoNq1a2d7bOPGjXTVVVdRlSpV1MX+2Wefrf28QnAfktX5B777/qHLtvZTfhkvlJ847j114j8zs56IeHQtLymWWNNl3+Qldq/QLGUb6pTbBbHauxiP022L7UW+yXEkdsQRdwSNHz8+orKhvwBs376d2rVrRyVLlqRZs2ZF3WnkFN1Xm9ItJjvratA2iZZvOaDqkxKTxHaysy78EgwQfjh0bt8tJ8tLikVq+a8zzvygdZpkxKNreUmxgPe9/vrrOVZo5lxlvEIzdyBFs0KzBPyZduJz7US9iJWof7+7VFskJCSIb1tsL3KsDaQRm+OIe/R79+4d0Y07iAz79+9XnUYZGRk0e/ZsccNK7UqgZWciLi/HZGdd/Lye43+iEQu3iYpJWjvZWZefEs4B5MVP+WW8UP5kXDxlUryYeHQtLykW8D5ORRDcaWQ8lpiYqGY4AMQCdxjZ3WkE4NkRR9E4duwYdezYkXbu3EkLFixQQ0ylseuXLTt/IfNyTHbWxc87i44TxREdCRQVE5O0drKzLvwSDPCv3HK0xLq8pFiklp9wax1ate0gNat/voh4dC0vKRbwp0hXaObVmffu3ZvtMazODNHg6ZKMOywBpPBUx1HPnj1p+fLl1LdvX/WrQPAvA8WLFxeR5NquBFp2JuLyckx21sXP25KyOStnhZSYpLWTnXX5KeEcgBPDoZ0sLykWieXXLkqmwvy86y8TEY/O5SXFAv4T6QrNnAeTF+UByK/JkydnLdwEIIXY5NjROP/882nbtm2mf6tatSpt3bpVREIqiblfvByTnXVNTV5IW/Yeo9bN8588E20e23bSORkdOAvbGpzAP2Sxxo0bo4EhKtg3yVihuU2bNtSlSxf69NNPoxpxxD9c41wCrMDxAyQeBzw14iiajiE32PXLlp2/kHk5Jjvruql9S7IL2jy27QTgBVY7Up0sLykWieULnltdlS8Y4WIK0uKXVN7pWMCbuNMnvys033jjjeqibezYsXnWUa5cOXUDyC/84AASeWrEkZd6+SSOtkFM+raTnXV5PSaJPfzgLF22taRlySXFgvLebh+nY5FMl32TVLt376bk5OSIynIHUfBiO7xC81VXXUXx8fG0ZMmSqBfbwTYEgPyQtA/x1Igjrwg+6eH8Lvk56bGrLsR0xvTp09V9uHxZEtvJzrq8HhOAZJKWJZcUi9TyTeN/V/+/+EQ1EfHoWt7pWMC7jBWarQpeoXn+/PniVmgG78vregPADdnXmwQRzE563K4LMf27yoGx0oEu7WRnXV6PCUCy3JYN5w7UUfNT1X0sykuKRWr5EgUyqERchph4dC3vdCwA4VZonjVrVsxXaHbqM6pTvYiV6I8/02jd77uwvXz82ZIIU9UEDg+zc5i1XXUhJn3byc66vB6T1KGh4CydtrXZtMzcvgNOlpcUC8p7u32cjkUqnfZNXsEjPGbMmKFWaA7NjxTNCs1WtqFTn1Gd6kWsaAN8tuQeBzBVTSDe6fLO146cLXbVhZj0bSc76/J6TADSmSWLz21qjpPlJcWC8t5uH6djATCsXr1a3Y8bN07dQldodnLqkFOfUZ3qRaxoA3y25MJUNaF4xzugTQ1bdux21YWYziyryjfd2snOurweE4BucpuaE+vykmJxu7zZ8UKn+KWXdzoW8CdeoZnXDTK7Ob16s1OfUZ3qRaxn2uC8goeoYoFD2F4+/WxJhalqGg0PA/eNHj1a3ffv39/tUMBh+O77hxe2tZ+WTtelfLjjhS7x61De6Vjc5oV9k99Z3YZOfUZ1qhexEg0fOYrSM09Rh269sL18+tmSeBxAx5FGGwvcZ/x6XL16dbdDAYfhuy/ThAkTqE+fPqZ/+/PPP9UqOlZhW4MTcLyA/MK+SX/YhhANHD9A4j4EOY4ALECHEYAML7zwAlWrVi3bY6VKlXItHoBQOF4AgJN0Gj2hU6xO1WulTivHD7dj9Wq9OsUaK+g4AgAA7XTo0IEaNmzodhhi+Gn6EMqjfaL9LAB4RfDqYyPmObNSml316hSrU/UiVrSBk5+DWEFybAALzFbZAAB3HDlyhE6dOuX75jdORIbP3aTu+d9ulZcUi9vlzY4XOsUvvbzVugG8xGz1Man16hSrU/VarTPS6w0JsXqxXp1ijSV0HAnFJ0Cj5qfaciJkV12IiSgxMVHddGsnO+uSGBP4T6tWrahEiRJUrFgxuuGGGyg1NTWi56Wlpan54sG3vFZKlM7qiYiT5SXF4nZ5s+OFTvFLL6/7CTiAX1aI0ilWp+q1Wmck1xtSYvVivTrFGkuYqiaQncPY7KoLMZ2RlJSkXTvZWZfEmMBfuKOod+/eWR1HK1eupNdff52aNm1Kq1atosqVK+f6fF7pavDgweQlfOLB3yH+LkW6LLlT5SXF4nZ5s+OFTvFLL2+1bgAv4fMlPm+ye6qmE/XqFKtT9VqtM6/rDUmxerFenWKNJXQcCWT2K1q0Hyy76kJM+raTnXVJjAn0dfr0acrMzIyobJEiRSguLo66deumbsEnV9deey01b96chgwZQmPGjMm1Hl4avWvXrtke4xFHkZ6kSZTbiYhZDhi7yjtZN8qjfez+rAF4DX+2nfh8O1GvTrE6VS9iRRs4+TmIhbhAIPDPpRtIWQIveCQG/4pm16iO/NSFmM5Yvny5um/cuLE27WRnXRJj8sPyl161cOFCNXIoEhs2bKDatWuH/XuTJk1o7969UU078+q2tvods1Leybq9Uv7p92YQn2FtOl1ORDy6lnc6Fsm8um/yE2xDiEZe1xvgH+sEHQcw4kggO4ex2VUXYjpjxYoVue7IJbaTnXVJjAn0xR1B48ePj6hshQoVcv07T1H79ddfbYrMG6yO6rNS3sm6vVK+VsE09f8bM8qJiEfX8k7HAgAgTV7XGwBuQMeRUJEMY4t0KLZddekak5111WvWnlZtO6jqkxKT19scUw68q3z58ipfkR22bNlCZcuWtaUur5CUX8aP5cfOry4qHl3LOx0LAIA03bt3dzsEgBwwVU2j4WHSpwxJjMnOuhCT3m3ule++3/F0tNAOolmzZtF1111HAwcOpJEjR1qu08vb2mrHq5XyTtaN8mifWH4WpPLyvskvsA0BwCv7EIw40pTEJMUSY7KzLn5efOCk+v/MQLyYmKS1k511YcoBhOLV0xo0aEANGzakkiVLqpXUxo0bp6aqDRo0CA2WzySMVso7WbcXyl9ULoEuKnceJSQkiIhH5/JOxwIAIEl6erq6j/T4ARALBWLyKmA7/hWNR2Cw/A7FtqsuiTHZWRc/77oiG6ljkY2iYpLWTnbWZWdM4A233HILpaam0tChQ2nAgAGUnJxMd999N/3444907rnnuh2eODzyYtT8VHVvd3kn6/ZC+dHvjqXhb70jJh6dy1utGwBAZ5z/MdIckACxgqlqGg0Pc3Iotl11SYzJzromz5xNf+z/m9q0biEmJontZGddbk05kPzdB3t5dVvrvNKVF8q/+N5U4oGXa05VFBGPruW9tEqaVV7dN/kJtiFEIyUlRd03b94cDehz6wQdBzBVTWN2DsW2qy6JMdlZV/cbriW7oM1j204AfqPzSldeKL/6ZMVs/3Y7Hl3LY8oyQGx/WHOiXp1idapeK3Va6TByO1av1uuVXHl2wlQ1AAAAD7I61dNKeSfrRnm0T34+CwB+YIzEGz53k7q3axqnE/XqFKtT9SJWtIEXeH7EEee+GDt2rFpx56uvvnI7HNAc51Nh7du3dzsUAIBc8S9kPK3H7Bczs1/SrJR3sm6vlH/+spO062A6XdOunYh4dC1vtW4AP3BqJJ4T9eoUq1P1Wq0z0usNCbF6sV6MdPVhx9GKFStowoQJVLRoUbdDAY/YsmWL2yEAAORrqmdwzpgR87LnjLFS3sm6vVD+6N6dVOKf50mIR+fyVusG8DruLOXPvZH7y66ReE7Uq1OsTtVrtc5IrzckxOrFep2KVXee7TgKBAI0cOBA6tWrF82fP9/tcMAj+vfv73YIAAD5IikfjZfLmx0vdIpfenn8Igx+lttIPGn16hSrU/VarTPS6w0JsXqxXqdi1Z1ncxx99NFHKvv4kCFD3A4FAABADOQ+cqdtUN7dPFsAXsMXswPa1LD9otaJenWK1al6ESvaQHdxAR6a4zFHjhyhmjVr0gMPPEBPPPEEnX/++WoZu7xyHKWlpdHevXuzPbZ582ZKSkoSsQSe35ZOl1jXvBXrac2OQ9S8QS0xMUlsJ7vr8vvyl+AsP25rq99PK+WdrFun8jt37lT3lSpVEhGPF8vrfpzJix/3TV4jZRtiNSu9Vt6y83pD1zbwe6zS9iGe7Th69NFHaerUqbRhwwYqUqRIxB1Hzz//PA0ePNj0bxI2Vri5/fxLW37m9ttVl8SY7KyL65k47j3iL8zMzHpiYpLWTnbX5RZJO2pwFrY1OGH06NHqHlOcIVrYN+lPwjZ06pzMiXoRq73XG9heen62pO1DtJiqdvr0aTp+/HhEN6P/a9OmTTRy5EgaNmyY6jSygk/ueKME36ZPn04Smc3td7suiTHZWRc/7+eTFeiXkxVExSStneyuCwBAR82aNVM3AAA3OXVO5kS9iNXe6w2n2xbbi3x1zSO64yglJYUSEhIiuv3666/qOTw9rWnTpnTTTTdZfr1y5cqpnrzgW/Xq1UkiO+f221WXxJjsrIuft/V0adpyqrSomKS1k911AYD9+BeyUfNT1b3d5Z2sW6fy9evXVzcp8Xi1PAC4c07mRL2I1d7rDafbFtuLfHXNI3qq2u7duyk5OTmisjfeeCOtXLmS2rRpQ1988QU1aNAg629XX3011apVi95//31KTEykEiV4gVz9hofpkI9GYkx21oWY3GkrN0j+7oO9/LatrQ6rtlLeybpRHu3jN37bN3mRlG2oU24XxIo2wGdL3j6ExZNg5cuXp969e0dc/o8//lD3Xbp0yfE3TlJZrVo1GjFiBD344IPkBbyDtivRZCR12VVPrGOys65NS2dTGa6vTQ8xMXm9zQHAXpKWSPdy+UmTJqn7Hj16aBm/DuUBIDKRnitKqBexRna9IaVtsb3IsTaQRvRUNatat25N06ZNy3ErW7YsNWzYUP1/p06dyE+MX3OHz92k7qMd+m1XPYgJbe7EZwoA7BlWbTZNKFx5K2X9WP5Q+gn6fd8xMfHoXB7T1wAAANwlesSRVVWqVFG3UDzC6Nxzz6WkpCTyG7t+vbPzV0CdYwr+5VhKTLGsS2JMAGANf894SljoaL/gaWMj5v07LcqsvJWyVuv2Svn/pZZW5ceOWSYiHl3LhysLAOBVeV1vALjBUyOOwF9JmBET2hwAosMX3gPa1Mh2AZ7byiCh5a2URXm0j1OfNQCn3X333RQXF0fXX389GhsAfM1TI47C2bp1K/lVuF/73KpH95jWrFmj7s1WynErpljWJTEmALAHfw95RIeRqDq3Tn0rZf1afvq3+4n7O3h1HAnx6Freat0AdlmxYgVNmDCBihYtikaFmMrregPADaJXVZNAUiZzcN/o0aPVff/+/d0OBRyG775/YFtHl7DeanJ7v5UfPnIUpWeeog7deomIR+fyfl1IAfsm9/Dl0VVXXUV16tSh+fPnq2uBr776ynI92IYQDVxvgMR9iC9GHAHYpXPnzmhMAPAsKyuDWF1FxG/lu998ZoXXSpXQnvltT7+sWANyfPTRR+pC7YsvvlAdRwCxhOsNkAgdRwAWVKpUCe0FAAA4XgB41JEjR+jxxx+nQYMGUfny5SN+XlpaGu3duzfbY5s3b7b02k6NrtOpXsRKtPtkwpl2PXkA28unny2J0HEEAAAACqaq6TF1y4/lAWLlhRdeoISEBHrooYcsTy8aPHhw1K/r1AqCOtWLWNEG+GzJhVXVACyeFBjzjgEAvMQ4YR8+d5O653/bUdav5SeOe49+S/lCTDw6lweIxunTp+n48eMR3YyUr5s2baKRI0fSsGHDqEiRIpZej/Nf8vS24Nv06dMjfr5TKwjqVC9iPdMGNxReS0lF1mJ7+fSzJRU6jgAsuOCCC9QNAMBrrJz8WD1R8mP5nadL0K7TJcTEo3N5gGikpKSokUOR3H799Vf1nAceeICaNm1KN910k+XXK1eunEpeG3yrXr16xM/n0Xe8ciCzcwVBnepFrGfa4M9/jh/YXv78bEmFqWoQMTuHldtVV6xjat++vbiY3KgLALwnt2XPQ/cfVspards75asIi0ff8gDRqF27No0fPz6ishUqVKBvv/2WkpOTVULsrVu3Zv3t5MmTlJ6erh5LTEykEiVKOLJB+PPO073s/vzrVC9iPdMGj911i2rXx7G9fPnZkiouYIzNBPFL4LkpeM4xn+TlZx6zXXUhJnfayi/w3fcPbGvK9aI93P7DSlmrdaM82gfHKuybYm3ChAnUp0+fXMuMGDGCHnzwwYjrxPEFAPJD0j4EI44gImbDyqPteLCrLjdi4mHPrHnz5mJiinVdAOBdZsueh9t/WClrtW4vlD+2bS1dUoifV0NEPLqXB3Ba69atadq0aTke79evH1WtWpWeeuopql+/vpgNodMKUTrF6lS9VurM63pDUqxerVenWGMFOY4g5vM37arLjZiMZIeSYop1XQDgL1b2H1b3NV4ub3a80Cl+HcoD2KlKlSqUlJSU41asWDE699xz1f9feOGFIhrdqQTzTtSrU6xO1Wu1zryuNyTF6sV6dYo1ljDiCGI+f9OuutyIKa8hzBLbye66AMBfrOw/rO5rvFze7HihU/w6lAfwK6dG5zlRr06xOlWv1Trzut6QFKsX69Up1lhCxxFEzGxYebTD7+yqK5J67KxrfVq6uJhi3eYA4D+R7teslvVyeV6pSVI8Xi0P4LTgRNlS5JZgXlq9OsXqVL1W6wx3/JAYqxfr1SnWWEJybI0SUkknMVm1nXVxPX3fWaDqOUZFxcQkrZ28At99/8C2BiccOHBmCDqvwgQQDeyb9OfkNtQpB4tOsTpVr5U6rRw/3I7Vq/VKiXWdoL4IjDgC20hN5mxnMu5WhTar/5+eUU9MTNLaCQC8x8qJjtWTIq+Wnzx5srrv37+/iHh0KQ8A7o7Oc6JenWJ1ql4rdYY7fuS3Xi+2q1P16hRrrCA5NthGajJnO5Nx/3qqHG08WU5UTNLaCQC8xUoyR6uJH71cvmHDhuomJR4dygMAgPnxA8BtGHEEtrEzqaXEuvh5L93dWdUzRFBM0toJALzFymhEqyMXvVy+cePGouLRoTwAAJgfPwDchhFHYCs+IRzQpoYtJ4YS60JMAOA3VkYjSluuHeX1ah8AAACQCcmxNUpIBe6bPn26uk9KSnI7FHAYvvv+gW1NUeWpCZe7Bo+f8f7ETyntSAa163g92sfC5wSwb/ISHF8gGrjeAIn7EHQcabSxwH3jxo1T93379nU7FHAYvvv+gW3t/CqMfiz//rjxRAGi5BO1RcSjc3m/wr5Jf9iGEA1cb4DEfQimqgFYwB1G6DQCAL8zy12D8tnbZ1ZGbZqVWRvtY8PnBwDAT3C9ARKh4wgAAAAskZYbB+W93T4AAADgLqyqBmDB5s2b1X316tXRbgDgW1ZXYfRj+f/rVJHW7zpMLRvVFxGPzuUBICen8oQ5Ua9OsTpVr5U6rVxvuB2rV+tFHr6ckONIo3mFfmPnF9auuoaPHEXpmaeoQ7deYmICZ+C77x/Y1uCE0aNHq/v+/fujgSEq2Dfpz6lt6FSeMCfq1SlWp+q1Wmekxw8JsXqxXkl5+NYJ6ovw7FS1efPmUevWralkyZJ09tln0+WXX06ffvqp22GBxS/s8Lmb1D3/2+26+HnT0krTrL/KiYkJAABkateunboBANjNqTxhTtSrU6xO1Wu1zkiPHxJi9WK9yMPno46j8ePHqy9boUKFaOjQoTRs2DBq3rw5bd++3e3QwIUvrF118fN2nCpJu06XFBMTAIBbuMN71PzUiDu+/Vb+UKFE+mZbQEw80soDQPScyhPmRL06xepUvVbr5ClqkUxTkxCrF+tFHj6fTFXbunUrXXTRRXT33XfTyJEjPTU8zE/sHCJoV10SYwLn4LvvH9jW1klbrh3l9WofiAz2TfpzchsiXwzawKnPgU6fLafqlZJSZJ2gvgjPJcceM2YMnTp1il544QX176NHj9JZZ51FcXH/dEWCFuxMnGlXXfy8B6vspCPHT1L7Lt1FxAQA4AazUZO57cf8WL59oY3q/2dl1hYRj6TyAJB//B1z4nvmRL06xepUvVbqHDdunLrv27evrfV6sV2dqtepWHVWwIu5jWrXrk2zZs2i8847T+U3Kl26ND3zzDN0+vTpXJ+blpamevWCb0ZWe4g9/rIOaFMjz185Ixkab1ddVSqUo7rVKoqKCQAg1nIbxm223/Jj+SNUhA4HioiJR1J5AIgtp76HTtSLWIkChc+iPRnx2F4+/mxJ5LmpapwMu2DBgvT333/TY489Rpdccgl98cUX9Mknn9ATTzxBL7/8ctjnPv/88zR48GDTv0kYHgbyp45JjAn0HxoKzsK2tm8Yd277LZRH++A4hn2T30g4vmA1K71W3tKpXsRKjl+vSdiHaDFVjUcIZWZmRlS2SJEiajoaT03j573yyiv0+OOPq7/ddNNNdODAAZXzaNCgQWoUkhle8rBr167ZHuMRR0lJSTa8G7CbnUPj7apLYkwAAE4wG8ad234L5dE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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Honeycomb basis: two atoms per unit cell.\n", "# The second atom is displaced by (1/3)*a1 + (2/3)*a2 = [-1/6, 1/(2*sqrt(3))].\n", "# The y-component 1/sqrt(3)/2 = 0.28867513...\n", "cl_basis = [np.array([0., 0.]),\n", " np.array([-0.5, 1./(2.*sqrt(3.))])] # = 0.28867513...\n", "\n", "fig, axes = plt.subplots(2, 3, figsize=(10, 6), dpi=120)\n", "axes = axes.ravel()\n", "\n", "for ax, shape in zip(axes, ['circle', 'hexagon', 'rectangle',\n", " 'triangle', 'parallelogram', 'ellipse']):\n", " # parallelogram requires sqrt(N1*N2) to be an odd integer\n", " n1, n2 = (7, 7) if shape == 'parallelogram' else (N1, N2)\n", " if shape == 'ellipse': n2 /= 2\n", " try:\n", " pos = make_cluster(a1, a2, n1, n2, shape=shape)\n", " pos = add_basis(pos, cl_basis)\n", " ax.scatter(pos[:,0], pos[:,1], s=2)\n", " ax.set_title('%s N=%i' % (shape, pos.shape[0]))\n", " except Exception as e:\n", " ax.set_title('%s: %s' % (shape, e))\n", " plt_cosmetic(ax)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a9a754a3", "metadata": {}, "source": [ "### Cluster from parameter dictionary\n", " \n", " `cluster_from_params` builds a cluster from a plain Python dict — the\n", " standard interface when loading a YAML input file (e.g. for the CLI).\n", " It always returns positions with CM at the origin and $\\theta = 0$;\n", " shift and rotation are applied explicitly afterwards. " ] }, { "cell_type": "code", "execution_count": 5, "id": "ed7532b1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cluster circle, N=389\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "params = {\n", " 'a1': [1., 0.], 'a2': [0., 2.], # rectangular lattice\n", " 'cl_basis': [[0., 0.]],\n", " 'cluster_shape': 'circle',\n", " 'N1': 20, 'N2': 20,\n", "}\n", "\n", "pos = cluster_from_params(params)\n", "print('Cluster %s, N=%i' % (params['cluster_shape'], pos.shape[0]))\n", "\n", "# Shift and rotate explicitly after creation.\n", "theta, pos_cm = 30., np.array([2., 1.])\n", "pos = rotate(pos, theta) + pos_cm\n", "\n", "fig, ax = plt.subplots(dpi=150)\n", "ax.scatter(pos[:,0], pos[:,1], s=10)\n", "ax.quiver(0, 0, *pos_cm, angles='xy', scale_units='xy', scale=1,\n", " color='gray', label='CM displacement')\n", "ax.set_title('Circle from params, rotated %.0f deg' % theta)\n", "ax.legend(fontsize=8)\n", "plt_cosmetic(ax)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d4cbc08f", "metadata": {}, "source": [ "### Load from POSCAR\n", " \n", " To model real materials it is convenient to import geometry directly from\n", " ab-initio codes. `params_from_poscar` reads a\n", " [VASP POSCAR](https://www.vasp.at/wiki/index.php/POSCAR) file and returns\n", " a parameter dict (`a1`, `a2`, `cl_basis`) ready for `cluster_from_params`.\n", " \n", " Requirements for the POSCAR:\n", " - 2D periodicity encoded in the first two lattice vectors **a**, **b**\n", " (the third vector **c** must be along $z$)\n", " - All $z$-coordinates of the basis are projected away; use `cut_z` to select\n", " a specific layer in a multi-layer slab\n", " \n", " Requires: `pip install ase`\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "e6e677c8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " a1: [1.2338620706831436, -2.137111795955346]\n", " a2: [1.2338620706831436, 2.137111795955346]\n", " cl_basis:\n", " [0.0, 0.0]\n", " [1.2338620706831438, -0.7123705986517821]\n", "z coordinates of ignored atoms: [6.5137785 6.5137785]\n", "Cluster hexagon, N=122\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# params_from_poscar returns (poscar_params, z_coords_of_ignored_atoms).\n", "# poscar_params contains a1, a2, cl_basis extracted from the file.\n", "# Requires ASE: pip install ase\n", "poscar_params, pos_z_ignored = params_from_poscar('./data/C.poscar', cut_z=6)\n", "\n", "for k, v in poscar_params.items():\n", " if isinstance(v[0], list):\n", " print('%15s:' % k)\n", " for vv in v:\n", " print(' '*16, vv)\n", " else:\n", " print('%15s: %s' % (k, v))\n", "print('z coordinates of ignored atoms:', pos_z_ignored)\n", "\n", "# Combine the loaded lattice geometry with the desired macroscopic shape.\n", "params = {**poscar_params,\n", " 'cluster_shape': 'hexagon',\n", " 'N1': 5, 'N2': 5}\n", "\n", "pos = cluster_from_params(params)\n", "print('Cluster %s, N=%i' % (params['cluster_shape'], pos.shape[0]))\n", "\n", "fig, ax = plt.subplots(dpi=150)\n", "ax.scatter(pos[:,0], pos[:,1], s=10)\n", "ax.set_title('Hexagon from POSCAR geometry, N=%d' % pos.shape[0])\n", "plt_cosmetic(ax)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "208f1e90", "metadata": {}, "source": [ "### Cluster from polygon shape\n", " \n", " To match an experimental cluster shape or test unusual geometries, define\n", " the cluster boundary as an arbitrary polygon.\n", " The [Shapely](https://github.com/shapely/shapely) package handles the\n", " point-in-polygon test.\n", " \n", " The polygon is defined by its vertices; any convex or concave shape works." ] }, { "cell_type": "code", "execution_count": 7, "id": "a31679b4", "metadata": {}, "outputs": [], "source": [ "from shapely.geometry import Polygon\n", "from shapely.plotting import patch_from_polygon" ] }, { "cell_type": "code", "execution_count": 8, "id": "ef8d5a36", "metadata": {}, "outputs": [ { "data": { "image/png": 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effbZgEYiPQBrHWUZ/8Ypv1yktyX5RP+fedbP2qKSnof8vJX9KuNw/cnnhmrk1tj34KAm6QM5sIsiv+0lN9Y48OD2KxYvXhyyB231xKWTUNjtIiR9Innw4OsQJJ8ree38bkvJTX/wwQeqoDp37qw7Dv/4xz/UN998E3IZyU/L+Sd/1i1B8kOuUQnVmQjehsJqp/KlHPw3Z86cCbiuQLaFdHZ27NjhmybHi6R2NmzYkO8vmCeeeEK/r3x28PkIIfP838/6ZSTpPvlVaJG0nVzjkhurjRW0jfqUxDj0UGfKZZSADPuT0RIy/jY2Nlb/vZw9liFrBTl7P378eN/nv/322yGXkREMMmbWGocuw9dkbKj/OHQZqxw8osIaQy9D1WRYnpyxliGLcib7H//4R8DyhRk1Utzj0Nu2bav/rmnTpnqo05AhQ3zj0GU8b7CXX37ZN/5flpUxtQ0aNNDvI9NyGuWS06iUUKMw/Mdby3j1vMZby9A0GbFjDWGVevfo0UOPOJKz/bkNJZN9kJf8tJfc/O9//9Ojt2Sse7BrrrlGj4fu3LmzHpss+0CGB1ojGfbv31/o7SJkqKi0PWkD0hZk9Ji0TdnHMj4/+DhZt26dPs5kmKEca1IfGdYq72Fty+D2ao1yyYm8pxynskybNm30tQ4y6kXeT9qOTN+5c2fAyBBrqGt+yHaT9evYsaNuj9LuZbvINFmP5cuXBxzXvXv39l0DIcenbEfZNvXq1QtYN2vosGwrGT4sx7+MOpNRTtb2Dm4/OY1Dl/HxMk/ih3y+1FGGLMpxKsfmm2++GXIUTUHGoct2k2NQhlUXVqkEdJGSkqIDqTR+Ce6y8eUiEBnLGiyvgC4HiXXhTqixwf7jPiWAydBIaeSyEWV4pYzDlfeXgzDUMCQJKBJg5G9kGKE0tPnz52dbtiQCuqz7hg0bdAOSwC6NTw6iUBe1WOv4+uuv64Au20OCoAyj/OSTT0IuLweEND45EK39IAf9kSNHch22WJCALrZs2aKHM8r2k+GgMv523rx5Ob6fBM0HH3xQN2hZD7nAS8a3y1Cxogb0/LaX3EjbleDiH6DFp59+qr98pL3IBStyEZrsC2lne/bsKfJ2EXPmzNGBSD5fhtBJIJVrPHI6TmQctHRWpP1Y7eHLL7/Msb3mFdCtaxvkwhxZN2mTsq6yzrIu06ZNCxjSJ2PycxrqmtNQPYkFcqHOhRdeqPeTBD+5wMn/oqLgocfS+ZHOlmwXOcYffPBBfRGUP9me8qUr21q+TGU//ve//82x/eTUnuW4kWtb5Mta6ijHjrRV2bZy/En7DV7+73//u+4gShyRIC5fhDI2Pqe4IDFGPv9vf/ubp9QDup2shhnqCq38kAtK5O/lWxbuV9T24n+xiPT2S0JeX5wmmTBhgv5FkJaWZndVjCLXNMiXTvAFUwXhyPuh5+X//u//9KvcGyE3/rkz/7PI1h3z/PPRcK/8tpfcyPUMcg8WGd8dnC9GIDkfICNi5D4myB85ySujsSS/X5SRdCU+bLG4rF+/Xg8HkxMoMnJAhoTJxRy5eeaZZ/SoFTkYZZia3GBI/lZOVMhJFe5r7V6FaS95GTdunB5rLic2CVY5kwu5UDAybFUGMsjNyIrEYwjrJ6nkzOSESah7NAST/KacOJKTJ5Lzkvym5Cz/+c9/5vuyb5ipMO3FTm5KucA+EfKfon0lAACcwMgcOgAgOwI6ALgEAR0AXIKADgAuYcywRRPJTb5kTK7cBlSewwiEO7ldrdxsTO4VXtQ7eyI7AnoJkmAuNycDEEjuoCg3/kLxIqCXIOuJPtJ45WnmKF7WLVBDPYEKziS3tJVOjnVsoHgR0EuQlWaRYM6VhcWPbWouUpAlg5OiAOASBHQYSx4uIQWAFwEdxpLng0oB4EUOHcbq16+f3VUAHIWADmNFRkbaXQXAUUi5wFhyX3v/h/AC4Y6ADmPNmDFDFwBepFxgrOjoaLurADgKAR3G4hGCQCBSLgDgEgR0GEvukSMFgBcpFxiLES5AIAI6jNW/f3+7qwA4CimXUnb69Gk1aNAgNW/evJDzZbrMl+VMF07rCjiCByUmLS3NI5tYXi0DBw7U08qVK+eZO3duwPLyb5ku82U505X0um7ZskUXmH1MoPjQQy9ld999typXrpw6efKk6tq1q6/3Kq/yb5ku82U505X0uiYlJekC4Kxi/HJAPnsj/r1TeR00aFDAv4N7syYryXWlh24eeuglK0L+YwV3FK8ff/xRRUVF6Vu8Bj9dx7+XailbtqwaPXq0uvHGG121K1asWKFeeeUVderUKd806ZnPmjVLderUyda6wTnHBIqOUS42kUAmozTef/9937Totreo8rWvVKu2uuuGU7JOsm4rk8+lR2TdCeZA8SKg20R66PHx8QHTUpcuUnd176VuaB+r3EQCuaybP1l3CehFCerW9mP4IuDFSVEb+KdbJM0iAbxs2XLq1KmTatRTAwJ6sqaTdZF1knUrU6ZsjidKC6N69eq6APAioJey4BEekjO/7+FBauSED10X1P2Duazbw48/q5555hmdOy+OoN6lSxddAHgR0EvZ3LlzfcFcApt1AlR66f5BfWXyAmU6WQcrmMu6Xd3Ce7tbSbP4B3XZJgCKjhx6KZs4caJ+ldSDBLbk5GTfPCuoSyB84uW3lOmsdbih/W163dalLPPNs4K6BHNrmxRUSkqKfuU2uoAXAb2UlSlTJmBkSzAJfG45KSrr+vRfx+Y4v6gnRVNTU/UrAR3wIqDDWD169LC7CoCjENBhLEa4AIE4KQpjZWVl6QLAi4AOYyUkJOgCwIuUC4wl9wQBcA4BHcaKiYmxuwqAo5ByAQCXcH1A/+GHH9Tjjz+ub9V5/vnnq/r166v7779fbd68OduyGzduVHFxcapy5cp6BEXv3r3V3r17bak38paYmKgLgDBJuYwZM0YtW7ZMde/eXTVv3lzt2rVLvffee+raa69VK1eu9OVht2/frn/CV61aVb3xxhvq8OHDaty4cWr9+vX6isTy5cvbvSoIkpGRwTYBwimgy82gPvnkk4CA/MADD6hmzZqpt956S3300Ud6mgTxI0eOqFWrVulevHUF4m233aamTJmiBg4caNs6ILTBgwezaYBwSrm0adMmW++6UaNGOgUjKRbLF198oS9Dt4K56Nixo2rcuLH67LPPSrXOAFAYrg/oochT93bv3q0uvvhi/e/MzEy1Z88eFR3tvRugP+mlr1mzxoZaIi+y36QACJOUSygff/yxDgRyL3Kxc+dO/Vq7du1sy8q0/fv3q+PHj6sKFSrk+J7yhRB8AjU9Pb3Y645z5syZo19JvQBhGtB/+uknNWTIEH0f8ocfflhPsy4fDxWwK1as6Fsmt4Aut4AdNWpUidUb2bVr147NAoRrQJcRLnfddZceyTJz5kx9e1cRGRmpX6UXHuzYsWMBy+REeokykia4h84TdUqOnNgGEIYB/Y8//lB33HGH+v3339WSJUtUnTp1fPOsVIuVevEn02RMem69c1GzZk1dAMAuYRHQpZctTwiSi4kWLlyorr766oD5devWVTVq1PA9MMGfjEFv0aJFKdYW+TV9+nT92rNnTzYaEA6jXE6fPq3Hna9YsUJ9/vnnvmd4BuvWrZt+WPG2bdt807799lv9JRCcSgEAJ3J9D/0vf/mL+uqrr3QPXUarWBcSWXr16qVfR4wYoQN+hw4d1FNPPaWvFB07dqzO0/br18+m2iM39MyBMAvoa9eu1a/yMOJQT5e3Anq9evXUd999p68sHT58uL4YSU6gvv3223nmzwHACVwf0JOTk/O9rFw9On/+/BKtD4qP3GdHMNoFCJOADveS0UqCgA54EdBhrM6dO9tdBcBRCOgwlgw3BRBGwxYBIFwQ0GEsuX+OFABepFxgrAYNGthdBcBRCOgwljz/FcA5pFwAwCUI6DDW4sWLdQHgRUCHsdLS0nQB4EUOHcbipmlAIAI6jJXXU6SAcEPKBcaS2yFLAeBFQIexZsyYoQsAL1IuMFZ0dLTdVQAchYAOY7Vu3druKgCOQsoFAFyCgA5jzZ49WxcAXqRcYCxGuACBCOgwVv/+/e2uAuAopFwAwCUI6DBWenq6LgC8SLnAWElJSfq1YcOGdlcFcAQCOowVGxtrdxUARyGgw1j0zIFA5NABwCUI6DBWfHy8LgC8SLnAWNWrV7e7CoCjENBhrC5duthdBcBRSLkAgEsQ0GGslJQUXQB4EdBhrNTUVF0AeJFDh7F69OhhdxUARyGgw1iMcgECkXKBsbKysnQB4EVAh7ESEhJ0AeBFygXGioqKsrsKgKMQ0GGsmJgYu6sAOAopFwBwCQI6jJWYmKgLAC9SLjBWRkaG3VUAHIWADmMNHjzY7ioAjkLKBQBcgoAOY2VmZuoCwIuADmPNmTNHFwBe5NBhrHbt2tldBcBRwqKHfvjwYTVy5EgVFxenb+gUERGhpkyZkm25vn376nnBpUmTJrbUG7lr1qyZLgDCqIe+b98+NXr0aFW/fn11zTXXqOTk5ByXrVChgvrggw8CplWtWrUUagkARRMWAb127dpq586dqlatWvqBCK1atcpx2bJly6pevXqVav1QONOnT9evPXv2ZBMC4ZJykV63BPP8On36tDp48GCJ1gkAiltYBPSCOHr0qKpSpYpOs0i+fciQIToHD+eRnjm9cyDMUi4FSc0899xz6tprr1VnzpzR9wmZOHGiWrdunc67SzomJ3v27FF79+4NmJaenl4KtQYALwK6nzfffDPbMysbN26sXnzxRTVz5sxcn2EpgX/UqFE5zkfxW79+vX5lpAvgRcolD0OHDlXnnXeeWrhwYZ73FUlLSwsos2fPzuvtUQRLlizRBYAXPfQ8REZGqosuukjt378/1+Vq1qypC0pP586d2dyAHwJ6Hg4dOqTHsdeoUSOvRVHK6tatyzYH/JByOevYsWM6eAd79dVXlcfj0VeZAoCThU0P/b333lO///672rFjh/733Llz1fbt2/X/P/HEE+rAgQOqZcuWehicdan//Pnz1TfffKODOT/vnUdORAvuiw6EWUAfN26c+vXXX33/njVrli5CrgytVq2a6tSpk1qwYIGaOnWqvrioYcOG6o033lDDhg3TJ0bhLA0aNLC7CoCjhE1A37p1a57LTJs2rVTqguJBGgwIRLcTAFyCgA5jLV68WBcAXgR0GMu6gAtAmOXQ4T79+vWzuwqAoxDQYfRVvADOIeUCY8ntGPK6JQMQTgjoMNaMGTN0AeBFygXGio6OtrsKgKMQ0GGs1q1b210FwFFIuQCASxDQYSx5gAgPEQHOIeUCYzHCBQhEQIex+vfvb3cVAEch5QIALkFAh7HS09N1AeBFygXGSkpK0q/yIBIABHQYLDY21u4qAI5CDx3GomcOBCKHDgAuQUCHseLj43UB4EXKBcaqXr263VUAHIWADmN16dLF7ioAjkLKBQBcgoAOY6WkpOgCwIuADmOlpqbqAsCLHDqM1aNHD7urADgKAR3GYpQLEIiUC4yVlZWlCwAvAjqMlZCQoAsAL1IuMFZUVJTdVQAchYAOY8XExNhdBcBRSLkAgEsQ0GGsxMREXQB4kXKBsTIyMuyuAuAoBHQYa/DgwXZXAXAUUi4A4BIEdBgrMzNTFwBeBHQYa86cOboA8CKHDmO1a9fO7ioAjkJAh7GaNWtmdxUARyHlAgAuQUCHsaZPn64LAC8COgC4BDl0GKtnz552VwFwFHroAOASBHQYa/369boACKOAfvjwYTVy5EgVFxenn0MZERGhpkyZEnLZjRs36uUqV66sl+3du7fau3dvqdcZeVuyZIkuAMIoh75v3z41evRoVb9+fXXNNdeo5OTkkMtt375dPzShatWq6o033tBfBOPGjdO9wJSUFFW+fPlSrzty1rlzZzYPEG4BvXbt2mrnzp2qVq1aKjU1VbVq1SrkchLEjxw5olatWqWDv2jdurW67bbbdI9+4MCBpVxz5KZu3bpsICDcUi4VKlTQwTwvX3zxherUqZMvmIuOHTuqxo0bq88++6yEawkARRMWAT0/5K59e/bsUdHR0dnmSS99zZo1ttQLOZs4caIuAMIo5ZIfkpKx0jPBZNr+/fvV8ePHdW8/FPkyCD55mp6eXkK1hWjQoAEbAvBDQD8rKytLv4YK2BUrVvQtk1NAl57iqFGjaFylSEYjATiHgH5WZGSkfpVeeLBjx44FLJPT49C6d++erYfepUuXHP8GAIoTAf0sK9VipV78yTQZk55T71zUrFlTF5SexYsX61cZagqAk6IBQ+Bq1KihhzUGkzHoLVq0oL04TFpami4AvOih++nWrZuaOnWq2rZtm6pXr56e9u2336rNmzeroUOH+i8KB+jXr5/dVQAcJWwC+nvvvad+//13tWPHDv3vuXPn6itDxRNPPKGvDh0xYoT6/PPPVYcOHdRTTz2lrxQdO3asfjIOwcN5cjunAYSjsAnocgn/r7/+6vv3rFmzdBG9evXSAV165d9995165pln1PDhw/Wl/nfddZd6++23c82fwx4ylFTI+Q0AYRTQt27dmq/lmjZtqubPn1/i9UHRzZgxwzfCCEAYBXS4T6ireoFwRkCHseSWDADO4V4uAOASBHQYa/bs2boA8CLlAuNHuQDwIqDDWP3797e7CoCjkHIBAJcgoMNYcjdL7jkPnEPKBcZKSkrSrw0bNrS7KoAjENBhrNjYWLurADgKAR3GomcOBCKHDgAuQUCHseLj43UB4EXKBcbitrlAIAI6jMUDuIFApFwAwCUI6DCWPLxbCgAvAjqMlZqaqgsAL3LoMFaPHj3srgLgKAR0GItRLkAgUi4wVlZWli4AvAjoMFZCQoIuALxIucBYUVFRdlcBcBQCOowVExNjdxUARyHlAgAuQUCHsRITE3UB4EXKBcbKyMiwuwqAoxDQYazBgwfbXQXAUUi5AIBLENBhrMzMTF0AeBHQYaw5c+boAsCLHDqM1a5dO7urADgKAR3Gatasmd1VAByFlAsAuAQBHcaaPn26LgC8COgA4BLk0GGsnj172l0FwFHooQOASxDQYaz169frAsCLlAuMtWTJEv3K8EXAi4AOY3Xu3NnuKgCOQkCHserWrWt3FQBHIYcOAC5BQIexJk6cqAsAL1IuMFaDBg3srgLgKPTQ/SQnJ6uIiIiQZeXKlfbtJYQUFxenCwAveughPPnkk6pVq1YB0xo2bBhqUQBwDAJ6DvfZvu+++0p/b6BAFi9erF9jYmLYcgApl5wdOnRInTp1ikbiYGlpaboA8CKHHkK/fv1UlSpVVMWKFVWHDh1UampqqMXggP0kBYAXKRc/5cuXV926dVN33nmnuvjii9WGDRvUuHHjdApm+fLlqmXLlione/bsUXv37g2Ylp6enuPyKLrIyEg2I+CHgO6nTZs2uljuuecenUtv3ry5euGFF1RiYqLKiYyHHjVqVI7zUfz279+vX6tXr87mBQjoeZPRLXLPkFmzZqnTp0+rMmXKhFxu8ODBqnv37tl66F26dKGhlZAZM2b4tj0Aeuj5Uq9ePXXixAl15MgRnVsPpWbNmrqg9ERHR7O5AT+kXPIhIyNDnyCtXLlyfhZHKWndujXbGvDDKBc/wSc1xbp169RXX32lYmNj1XnnsbkAOBc9dD8PPPCAHjkhJ0YlfSKjXCZPnqwqVaqk3nrrLfv2EkKaPXu2fuU8BeBV7F3O77//XplKAsO+ffvU+PHj9Ym2Tz/9VHXt2lWPQ7/qqqvsrh5CjHKxRroAKIEe+o033qhHhvTu3Vs99NBDRt0RT+7hIgVm6N+/v91VANzdQ//oo49Uo0aN1Kuvvqpfb7rpJjVp0iR6UgBgWkB/8MEH1ddff6127NihJkyYoDwej05f1KlTR6c0Zs6cqYcAAkUl4/y5Ghc4p8SGbcil848//ri+ZH7Lli3qxRdfVD/99JM+8VirVi01cOBAtXTp0pL6eISBpKQkXQB4lco4PBk5IiNFZCy39NjlgRFz5sxRN998s77vuIwmAQpKhpJKAVDCAV1uP5uQkKA6duyoLr30UjVixAh12WWX6ZTLrl27dEpGRpHITa24Yx4KQ06+8+ARoARHuUjP++OPP1bz5s1Tx44d0z3wd955R/Xo0UNddNFFAcvKja8OHDighgwZUtzVAICwU+wB/d5779X3Phk6dKjq06ePuvLKK3Nd/pprrtHDG4GCio+P168MXwRKKKD/5z//Ue3bty/Q/Ti4JwcKg9vmAiUc0AsSzIGi4JJ/IBB3mwIAlyCgw1gpKSm6APAioMNYctM0HuANnMPtc2EsGQoL4BwCOozFKBcgECkXGCsrK0sXAF4EdBhLbi0hBYAXKRcYKyoqyu4qAI5CQIexYmJi7K4C4CikXADAJQjoMFZiYqIuALxIucBYGRkZdlcBcBQCOowlz6oFcA4pFwBwCQI6jJWZmakLAC8COowljzuUAsCLHDqM1a5dO7urADgKAR3Gatasmd1VAByFlAsAuAQBHcaaPn26LgC8COgA4BLk0GGsnj172l0FwFHooQOASxDQYaz169frAsCLlAuMtWTJEv3K8EXAi4AOY3Xu3NnuKgCOQkCHserWrWt3FQBHIYcOAC5BQIexJk6cqAsAL1IuMFaDBg3srgLgKAR0GCsuLs7uKgCOQsoFAFyCgA5jLV68WBcAXgR0GCstLU0XAF7k0GGsfv362V0FwFEI6DBWZGSk3VUAHIWUC4y1f/9+XQB4EdD9HD9+XD3//POqTp06uvd3/fXXqwULFvgvAgeZMWOGLgC8COh++vbtq8aPH68eeughNWHCBFWmTBl15513qqVLl/ovBoeIjo7WBYAXOfSzUlJSdG9v7NixatiwYXpanz59VFRUlHruuefU8uXLrUXhEK1bt7a7CoCj0EM/a+bMmbpHPnDgQN/GqVixohowYIBasWKF2rZtm137CADyhYB+1po1a1Tjxo1VlSpVQvYC165dm78tilIze/ZsXQB4EdDP2rlzp6pdu7YKZk3bsWOHys2ePXvUjz/+GFDS09P1PP8cvFzZKHcIzMrK0v+W16M7Nqud6ecukNmS8h/13/+cC1QHdm1Tq+d/ql8tMl+W89U/PU0vk3X4D/3vkyeO6X9v27DKt0zG2mV6muXQ/t3633v/t8U3bcPSf+tikXmyjCxrkX/Le1nkM2SafKZep8N/6H8Hr9PRXT/7/i3bRraDtY1EfHx8QICWNJgsY41kkW0l/7auDpXpP//8c8AdFzMzM/W//R9NN336dF0sMk+WkWUt8u/ExMQc95N8lvxb6mSRukqdi3OdhNTD7euEkkEO/SxphBUqVMi2gSTtYs3PjTTWUaNGlcQ+Qg769++vA0VGRgbbCFBKRXg8Hg9bQumTn5dccon69ttvAzbHhg0bVNOmTdWkSZPUoEGDcu2h7927N2Ca9Gq6dOmiL0+X9wglOTlZrdq6X13T+ibX74Z1KcvUdZdVV+3bt7e7KrCJ/HKVYy23YwKFRw/dL7Xi/3PVPxUjZGx6bmrWrKkLSo+VBmjYsCGbHSCHfk6LFi3U5s2b1cGDBwMaxvfff++bD2dJSkrSBYAXJ0XPuu+++9Tp06fV5MmTA64cTUhI0FeM1qtXzzcdzhAbG6sLAC9SLmdJ0O7evbt64YUXdD5cfsZPnTpVbd26VX344YfWYnAQUi1AIAK6n3/961/q5ZdfVtOmTVMHDhxQzZs3V/PmzVMxMTFBmw0AnIeAHjREUS79lwLns8ZLy/BFAAR0GKx69ep2VwFwFHroMJaM8QdwDqNcAMAlCOgwltxDxP8+JEC4I6DDWKmpqboA8CKHDmP16NHD7ioAjkJAh7EY5QIEIuUCY8ktjfO6rTEQTgjoMJbcZ0cKAC9SLjCW3FcbwDkEdBiLe+wAgUi5AIBLENBhLHmeqP9DkIFwR8oFxuLh0EAgAjqMNXjwYLurADgKKRcAcAkCOoyVmZmpCwAvAjqMNWfOHF0AeJFDh7HatWtndxUARyGgw1jNmjWzuwqAo5ByAQCXIKDDWNOnT9cFgBcBHQBcghw6jNWzZ0+7qwA4Cj10AHAJAjqMtX79el0AeJFygbGWLFmiXxm+CHgR0GGszp07210FwFEI6DBW3bp17a4C4Cjk0AHAJQjoMNbEiRN1AeBFygXGatCggd1VAByFgA5jxcXF2V0FwFFIuQCASxDQYazFixfrAsCLgA5jpaWl6QLAixw6jNWvXz+7qwA4CgEdxoqMjLS7CoCjkHKBsfbv368LAC8COow1Y8YMXQB4kXKBsaKjo+2uAuAoBHQYq3Xr1nZXAXAUUi4A4BIEdBhr9uzZugDwIuUCYzHCBQhEQIex+vfvb3cVAEch5XLWlClTVERERMiya9cue/cSAOQDPfQgo0ePVpdffnnAtGrVquVnW6KUpaen69eGDRuy7QECenZ33HEH45sNkZSUpF8J6IAXPfQQDh06pCpVqqTKlClDO3Gw2NhYu6sAOAo59CAdOnRQVapU0QH9nnvuUVu2bLFnzyBP0jOndw6cQw/9LAngffv29QX0VatWqfHjx6s2bdqo1atXq3r16qnc7NmzR+3duzdkjhcASoMrA/qZM2fUiRMn8rVshQoV9EiW+++/XxdLly5d1O23365iYmLU66+/riZNmpTr+8jT50eNGlXkuiP/4uPj9SvDFwEXB3R5LJn0tPNj48aNqkmTJiHntW3bVl1//fVq4cKFeb7P4MGDVffu3bP10OWLASWjevXqbFrA7QFdAnRCQkK+lq1du3au8yXVsmnTpjzfp2bNmrqg9PBlCYRBQK9Vq5bOhxeHjIwMVaNGjWJ5LwAoSYxyOSv4hKb45ptv9MnRuLi4Et0JKJyUlBRdALi4h14YMpqlZcuW+qKiqlWr6pEtctJNUi4jRoywu3oIITU1Vb9yX3TAi4B+1gMPPKC+/vprffXh0aNHdW79kUceUSNHjlSXXHKJtRgcpEePHnZXAXAUAvpZr732mi4wB6NcgEDk0GGsrKwsXQB4EdBhLBmamt/hqUA4IOUCY0VFRdldBcBRCOgwltyWAcA5pFwAwCUI6DBWYmKiLgC8SLnAWHJbBgDnENBhLLnDJYBzSLkAgEsQ0GGszMxMXQB4EdBhrDlz5ugCwIscOozVrl07u6sAOAoBHcZq1qyZ3VUAHIWUCwC4BAEdxpo+fbouALwI6ADgEuTQYayePXvaXQXAUeihA4BLENBhrPXr1+sCwIuUC4y1ZMkS/crwRcCLgA5jde7c2e4qAI5CQIex6tata3cVAEchhw4ALkFAh7EmTpyoCwAvUi4wVoMGDeyuAuAoBHQYKy4uzu4qAI5CygUAXIKAjhJz+vRp9c5fn1Urk5NCzp83b54aNGiQXq4wFi9erAvsIftN9p/sx5LYvyg4Ui4oMX9/dbj6+vNpav6XM9TICR+qyErnBxzsXbt2VSdPntT/fv/99wv8/mlpafo1JiamGGuNgjyke/LkySohIUHNmjVLderUqVj3LwqOHjpKzA3tb1Nly5ZTp06dVKOeGqA2rE3NdrCXK1dO3X333YV6/379+ukCe8h+k/0n+1H2p9VTL679i4IjoKPE3NA+VvfMraA+9b2xavz48QEHe3DPriAiIyN1gT1kv8n+8w/qjz76aLHtXxQcKReUSlCXHroE9blz53obXtmyatSoUapy5coqOTm5UO+dlZWlXwnq9pH9J/vxlVde0UHcSq0QzO1BQEepBPXbu/ZUX3/2L9+06La3qPK1r1Srtu4v9Pse3bFZv1aq07hY6onCkf0o+9P/5Hf//v3pmduAgI4SJwf6/FmBj4pLXbpI3dW9lw72hbUzvap+rd0wqsh1RNH2r+xPf/Hx8Tqgk24pXeTQUeIHu5VukVz6Xff3CThRmtOQxvyQQE4wd87+LVOmbI4nSlE6COgotWAuufSnR/5fwInSogZ1OGf/Pvz4s+qZZ57JdqKUoF56COgoMSuTFwQEcyu9Ejz6RZYrjC0p/9EFzti/V7eIDjn6xToRjpJHDh0l5omX3/KNRw/OlVtBXYKCtVxBZR0+WCz1RPHs33Upy3zzrKAuwZw7YpYeAjpKTJkyZdTTfx2b43wJAkU5Kdr8li6F/luU/P7lpGjpI+UCAC5BQIexDuzapgsAL1IuMNYv65br1wtrPWB3VQBHIKDDWJdf08buKgCOQkCHsS6sVc/uKgCOQg4dAFyCgA5j/fc/s3UBECYBfefOnWr48OGqQ4cO6oILLlARERG53q51+fLlqm3btqpSpUqqVq1a6sknn1SHDx8u1TojfyIrV9EFQJgE9E2bNqkxY8aozMxM1axZs1yXXbt2rbr11lvV0aNH9YMY/vznP+tHbHXv3r3U6ov8a9T6Fl0AhMlJ0euuu0799ttvqnr16mrmzJm5BucRI0aoCy+8UPfgq1Tx9vwuu+wy9cgjj6ikpCQVG1v4qxoBoKS5vocuaRYJ5nk5ePCgWrBggerVq5cvmIs+ffrop7J89tlnJVxTFNTO9DRdAIRJQM+v9evXq1OnTqnoaO8d4yzly5dXLVq0UGvWrLGtbght588/6gIgTFIuBTl5KmrXrp1tnkxbsmRJrn+/Z88etXfv3oBp6enpxVxL+Lvqpjg2CGBqQD9z5ow6ceJEvpatUKGCHtFS0AcOy98Fq1ixom9+TuQWofKwXJSeyMreR9ABMDCgL168WA8/zI+NGzeqJk2a5Pu9rSfHHz9+PNu8Y8eO5flk+cGDB2c74So99C5duMVrSTl54ph+LVe+Yol9BmASowK6BOiEhIR8LRsqdZKf5a3Uiz+ZVqdOnVz/vmbNmrqg9KxfNEe/Xns7N+cCjAvocqFP3759S+S9o6KiVNmyZVVqaqq6//77fdMlxSPj0/2nwRlq1GtodxUAR2GUy1lVq1ZVHTt2VB999JE6dOiQbwNNmzZNXynKxUXOU+/q63QBYGAPvbBee+01/frjjz/6gvTSpUv1/7/00ku+5V5//XXVpk0bdfPNN6uBAweq7du3q7fffltfUBQXx4gKAM4WFgH95ZdfDvh3fHy87//9A/q1116rFi5cqJ5//nk1dOhQfVHSgAED1Jtvvlmq9UX+ZKz1PpS4QYub2GRAuAR0j8eT72XlxlzLlp17ejmc6/fd2+2uAuAoYRHQ4U6MbgECcVIUAFyCgA5jHdq/WxcAXgR0GGvLD8m6APAihw5j1bvqWrurADgKAR3GqlG/kd1VAByFlAsAuAQBHcbasPTfugDwIqADgEuQQ4exrm57h91VAByFHjoAuAQBHcba+78tugDwIuUCY23buFq/MnwR8CKgw1iNWrW3uwqAoxDQYawLql9idxUARyGHDgAuQUCHsVbP/1QXAF6kXGCsapf8ye4qAI5CQIexeJYoEIiUCwC4BAEdxtq2YZUuALwI6DDW3m3pugDwIocOYzXr0NnuKgCOQkCHscqVr2h3FQBHIeUCY2Ud/kMXAF4EdBhr47JEXQB4kXKBsWpf0dTuKgCOQg+9lJ0+fVoNGjRIzZs3L+T8lclJ6p2/PquXQ+5qN4zSBfaQNiptVdpsKNLGpa3TlksPPfRSNnjwYDV58mSVkJCgZs2apSpXruybJwfGqKcGqFOnTup/P/3XsaVdPSDf/v7qcPX159PU/C9nqJETPlSRlc4PCOZdu3ZVJ0962/L777/Pli0F9NBL2d13363KlSunG7o0+BUrVmQL5mXLllM3tL+ttKtmnC0p/9EF9pA2Km1V2qy03Q1rU7MFc2nr0uZROuihl7JOnTrpnrnV4F955RUV3fYWlbp0kS+YS2/nhvaxpV0142QdPmh3FcKatFFpq1ZHZOp7Y9XejDSVmJjoC+bS1qXNo3REeDweTyl9Vtj58ccfVVRUlEpLS1NNmwaewAv+SSrKlCmrHn78WXV1i2gbagsUjvTMJZifPn3KNy2nYJ7bMYGio4duE2no/fv3D8gt3nnnHap3F3rmMMt1l8XqnvncuXN906Rt0zMvfQR0m0gPPT4+PmCa/FQdOHAgB0I+pad77+PSsGHD4t9BKFBblrbrT9q2BHSCeunipKgNgk8aydAu/xOlOQ1pRKCkpCRdYB/asrMQ0G0+ACTPOGnSJP1KUC+Y2NhYXWAP2rLzENBLmeQZQ40AsEa/WEHdPx+J0CTVQrrFPrRl5yGHXsomTpyoX2VsbnB+0QrqcqBYywFORVt2HoYtliCGaJUs66SyjKiAGTgmShY9dBirevXqdlcBcBQCOozVpUsXu6sAOAonRQHAJQjoMFZKSoouALwI6DBWamqqLgC8yKHDWD169LC7CoCjENBhLEa5AGGWctm5c6caPny46tChg7rgggtURESESk5ODrls+/bt9fzgEhcXV+r1Rt6ysrJ0ARAmPfRNmzapMWPGqEaNGqlmzZr5nhCUkz/96U/qzTffDJhWp06dEq4lCkMe42c91g9AGAT06667Tv3222/65/nMmTNV9+7dc12+atWqqlevXqVWPxSePCgBQBgFdEmzFNSpU6fUsWPHAh7gDOeJiYmxuwqAo7g+h15QmzdvVueff77+IqhVq5Z6+eWXAx4TBwBO5foeekFcccUV+uSp5NqPHDmiUzSvvfaaDvKffvpprn+7Z88etXfv3pBP1EHJsJ6Sw0lrwMCAfubMGXXixIl8LVuhQgU9QqUgPvzww4B/9+7dWz8S7p///KcaOnSouuGGG3K9leioUaNCziOwl4ylS5fq13r16pXQJ6C4WcfC8ePH2bglwWOQRYsWeaTK+SkbN27M9veff/65nifvk18//fST/ptXX3011+V2797tSUtLCyjvvvtuvutLYRuEUxuYPXt2oWIAcmdUD71Jkya+oWp5qV27drF8ptX7279/f67L1axZUxd/devWVfXr19fvIb8YSqP3I3cgnD17dlg8yYf1NY/0zLdt26Zuvvlmu6viSkYFdDlJ2bdv31L9zIyMDP1ao0aNAv9ttWrVVOfOnVVpk2DetGlTFS5YX7Nce+21dlfBtRjlctbBgwez5fU8Ho8+KSpuv/320t87AODWHnphWUFZHn8lpk2b5juh9tJLL+nX1atXq549e+oiPT65pPzLL79Uy5Yt0ydG6VUAcLqwCOgyljzUsyj9A/qll16q2rVrp4P4rl271HnnnaeuuuoqNWnSJB3QAcDpwiKgS+okL5dffrn67LPPlMkkzz9y5MhC5ftNxPoCgSJkqEvQNACAgTgpCgAuQUAHAJcgoAOASxDQAcAlCOguNmXKlJCP1JMiQzNNJReAPf/88/pJUpGRker6669XCxYsUG4kj0vMaR+uXLnS7urBYcJi2GK4Gz16tB6WGXxbAlPJ7R/k1sZPP/20frSgfHHdeeedatGiRapt27bKjZ588knVqlWrgGnhcL8eFAwBPQzccccdKjo6WrlBSkqKmjFjhho7dqwaNmyYntanTx/9OLrnnntOLV++XLmRXPR233332V0NOBwplzBx6NAhdfr0aWU66ZmXKVMm4OrdihUrqgEDBugHgMud/Ny8D+XxiEBOCOhhQJ7CVKVKFVWpUiV1zz33qC1btihTrVmzRjVu3Fivj7/WrVvr17Vr1yo36tevn15n+fKS/Zmammp3leBApFxcTAK45JutgL5q1So1fvx41aZNG30zMhOf9LNz586Q97q3pu3YsUO5Sfny5VW3bt30OYKLL75YbdiwQY0bN06nYCS91LJlS7urCAfh0v8we/ye3GUyJiZGpyzkxmMmPvf1yiuvVN988022+9bLvL/97W/6ZKnbH+zRvHlzvR+t56oCgpSLIRYvXqyH6OWnbNq0Kcf3kVEgMsxv4cKFykSyfqGeR3ns2DHffLeT0S3y4BQZ1eOG8yIoPqRcwvDxe5JqyS3oO5msW2ZmZshUjJCx6eFA9qH8Yjty5Ei28wkIXwT0MHz8nqQnTL3FbosWLXTPVJ4w5R/Ivv/+e9/8cCD7UE6QVq5c2e6qwEFIubjY3r17s02T3LOcHI2Li1MmkrHYkmaYPHmyb5qkYOTXi6SSTDzRW9B9uG7dOvXVV1+p2NhY/SAWwMJJUReTqyhlFIRcVFS1alU9skWe1iRpix9++EFdcsklykT333+/frLU0KFDdT556tSp+oKjb7/9Vp8odJNbbrlFnxeQkUk1a9bUo1zky6xcuXJ63L08VQvwkQdcwJ1efPFFT4sWLTxVq1b1lCtXzlO/fn3PY4895tm1a5fHZFlZWZ5hw4Z5atWq5alQoYKnVatWnsTERI8bTZgwwdO6dWtP9erVPWXLlvXUrl3b06tXL8+WLVvsrhociB46ALgECTgAcAkCOgC4BAEdAFyCgA4ALkFABwCXIKADgEsQ0AHAJQjoAOASBHQAcAkCOgC4BAEdAFyCgA4ALkFABwCXIKADgEsQ0OFKWVlZ+jmsUuT/Lfv379cP+JAHRvCAZbgNAR2uJE/5kScZpaenqxdffNE3fciQIeqPP/5QU6ZMUWXKlLG1jkBx4yHRcC15xuhzzz2nxowZo+699161e/duNWPGDPXOO++oxo0b2109oNjxxCK42okTJ/QzVQ8fPqzL1VdfrRYtWqQiIiLsrhpQ7AjocL3U1FTVqlUrVbFiRf2Q5csvv9zuKgElghw6XG/+/Pn69dixY2rLli12VwcoMfTQ4Wr//e9/de/8oYceUmvXrlX79u1T69evV1WrVrW7akCxI6DDtU6ePKlPjB44cEAH9l9++cUX3OPj4+2uHlDsSLnAtV577TXdK5fgfcEFF6jmzZurV155RSUkJKhvvvnG7uoBxY4eOlxp9erVunf+2GOPqXfffdc3XS4muvHGG1VmZqb68ccfVbVq1WytJ1CcCOgA4BKkXADAJQjoAOASBHQAcAkCOgC4BAEdAFyCgA4ALkFABwCXIKADgEsQ0AHAJQjoAOASBHQAcAkCOgC4BAEdAFyCgA4ALkFABwDlDv8fHMU3lXXoHhQAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define the polygon boundary by its vertices.\n", "# Uncomment the shape you want; only one should be active.\n", "\n", "# --- Circle approximated as a 50-gon ---\n", "# t = np.linspace(0, 1, 50, endpoint=False)\n", "# poly_points = np.stack([np.cos(2*pi*t), np.sin(2*pi*t)], axis=1)\n", "\n", "# --- Square ---\n", "#poly_points = np.array([[-1.,-1.], [1.,-1.], [1.,1.], [-1.,1.]])\n", "\n", "# --- L-shape ---\n", "poly_points = np.array([[0.,0.], [3.,0.], [3.,1.],\n", " [1.,1.], [1.,7.], [0.,7.]])\n", "\n", "# Scale and centre.\n", "poly_points = poly_points * 5.\n", "poly_points -= np.mean(poly_points, axis=0)\n", "\n", "poly = Polygon(poly_points)\n", "\n", "fig, ax = plt.subplots(dpi=120)\n", "patch = patch_from_polygon(poly, facecolor='tab:blue', alpha=0.3)\n", "ax.add_patch(patch)\n", "ax.scatter(poly_points[:,0], poly_points[:,1], c='k', marker='x', s=30)\n", "ax.set_title('Polygon boundary (square, scaled)')\n", "plt_cosmetic(ax)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "da5b7df3", "metadata": {}, "source": [ "#### Mask lattice with polygon\n", " \n", " `cluster_poly` generates a lattice inside the bounding box of the polygon,\n", " then keeps only the points inside it (`direction=0`) or outside it\n", " (`direction=1`, for cutting holes).\n", " \n", " The key feature is that the polygon and the lattice can be rotated\n", " **independently** — this is how you create clusters with a deliberate\n", " mismatch between the crystal symmetry axis and the boundary shape." ] }, { "cell_type": "code", "execution_count": 9, "id": "6cbcf0a8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N=258, CM=[-2.62851167 -0.126039 ]\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Polygon rotation is independent of the lattice orientation.\n", "tho = 20. # polygon rotation [degrees]\n", "\n", "poly_rotated = get_poly(poly_points, tho=tho, shift=[0., 0.], cm=False, scale=1)\n", "\n", "\n", "a1, a2 = [1., 0.], [-0.5, sqrt(3.)/2.]\n", "thl = 10 # lattice orientation [degrees] -- independent of polygon\n", "a1, a2 = rotate(a1, thl), rotate(a2, thl)\n", "\n", "params = {\n", " 'a1': a1, 'a2': a2,\n", " 'cl_basis': [[0., 0.]],\n", " 'N1': 20, 'N2': 20,\n", " 'theta': 5, # flake rotation [degrees] -- independent of polygon and lattice ! not applied at construction !\n", "}\n", "\n", "# direction=0: keep lattice points inside polygon\n", "pos = cluster_poly(poly_rotated, params, direction=0)\n", "#pos -= np.mean(pos, axis=0) # re-centre CM\n", "print('N=%i, CM=%s' % (pos.shape[0], np.mean(pos, axis=0)))\n", "\n", "fig, ax = plt.subplots(dpi=200)\n", "ax.add_patch(patch_from_polygon(poly_rotated,\n", " facecolor='tab:green', alpha=0.3, zorder=0))\n", "ax.scatter(pos[:,0], pos[:,1], s=2, label='cluster')\n", "ax.scatter(*np.mean(pos, axis=0), marker='+', c='blue', s=80, label='CM')\n", "\n", "xx = np.linspace(pos[:,0].min(), pos[:,0].max())\n", "ax.plot(xx, xx*tan(thl*pi/180.),\n", " ls='--', lw=1, color='tab:blue', label='lattice axis (%.0f deg)' % params['theta'])\n", "ax.plot(xx, xx*tan(tho*pi/180.),\n", " ls=':', lw=1, color='tab:green', label='polygon axis (%.0f deg)' % tho)\n", "\n", "side = 1.1 * np.max(np.linalg.norm(pos, axis=1))\n", "ax.set_xlim([-side, side])\n", "ax.set_ylim([-side, side])\n", "ax.legend(fontsize=7)\n", "ax.set_title('Polygon-masked cluster: lattice and boundary independently rotated')\n", "plt_cosmetic(ax)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e8114255", "metadata": {}, "source": [ "#### Polygon from params (with hole)\n", " \n", " `cluster_from_params` with `cluster_shape='polygon'` and `masked_shape`\n", " lets you punch a polygon hole into a base shape.\n", " Set `direction=1` to remove points *inside* the polygon rather than keeping them.\n", "\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "33100649", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N=4700\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Punch the square polygon as a hole into a hexagonal cluster.\n", "params_hole = {\n", " 'a1': [1., 0.], 'a2': [-0.5, sqrt(3.)/2.],\n", " 'cl_basis': [[0., 0.], [-0.5, 1./(2.*sqrt(3.))]], # honeycomb basis\n", " 'cl_poly': np.array(poly_rotated.exterior.coords.xy).T,\n", " 'cluster_shape': 'polygon',\n", " 'masked_shape': 'hexagon', # base shape to punch the hole into\n", " 'direction': 1, # 1 = remove points inside polygon\n", " 'N1': 30, 'N2': 30,\n", " 'theta': 0, # flake rotation [degrees]\n", "}\n", "\n", "pos = cluster_from_params(params_hole)\n", "pos -= np.mean(pos, axis=0)\n", "print('N=%i' % pos.shape[0])\n", "\n", "fig, ax = plt.subplots(dpi=200)\n", "ax.scatter(pos[:,0], pos[:,1], s=3)\n", "ax.set_title('Cluster with masked hole (direction=1), N=%d' % pos.shape[0])\n", "plt_cosmetic(ax)\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "DRIFT2", "language": "python", "name": "drift" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.13" } }, "nbformat": 4, "nbformat_minor": 5 }