{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Equilibrium Properties and Partial Ordering (Al-Fe and Al-Ni)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:09.190653Z", "iopub.status.busy": "2022-02-19T19:18:09.172558Z", "iopub.status.idle": "2022-02-19T19:18:10.182480Z", "shell.execute_reply": "2022-02-19T19:18:10.182480Z" } }, "outputs": [], "source": [ "# Only needed in a Jupyter Notebook\n", "%matplotlib inline\n", "# Optional plot styling\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "matplotlib.style.use('bmh')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:10.201991Z", "iopub.status.busy": "2022-02-19T19:18:10.200454Z", "iopub.status.idle": "2022-02-19T19:18:12.092175Z", "shell.execute_reply": "2022-02-19T19:18:12.092175Z" } }, "outputs": [], "source": [ "from pycalphad import Database, Workspace, as_property, variables as v" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al-Fe (Heat Capacity and Degree of Ordering)\n", "Here we compute equilibrium thermodynamic properties in the Al-Fe system. We know that only B2 and liquid are stable in the temperature range of interest, but we just as easily could have included all the phases in the calculation using `my_phases = list(db.phases.keys())`. Notice that the syntax for specifying a range is `(min, max, step)`. We can also directly specify a list of temperatures using the list syntax, e.g., `[300, 400, 500, 1400]`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:12.099168Z", "iopub.status.busy": "2022-02-19T19:18:12.098168Z", "iopub.status.idle": "2022-02-19T19:18:13.301974Z", "shell.execute_reply": "2022-02-19T19:18:13.301974Z" } }, "outputs": [], "source": [ "dbf = Database('alfe_sei.TDB')\n", "my_phases = ['LIQUID', 'B2_BCC']\n", "wks1 = Workspace(dbf, ['AL', 'FE', 'VA'], my_phases,\n", " {v.X('AL'): 0.25, v.T: (300, 2000, 50), v.P: 101325, v.N: 1})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also compute degree of ordering at fixed temperature as a function of composition." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:13.331442Z", "iopub.status.busy": "2022-02-19T19:18:13.331442Z", "iopub.status.idle": "2022-02-19T19:18:13.621652Z", "shell.execute_reply": "2022-02-19T19:18:13.621652Z" } }, "outputs": [], "source": [ "wks2 = Workspace(dbf, ['AL', 'FE', 'VA'], my_phases,\n", " {v.X('AL'): (0,1,0.01), v.T: 700, v.P: 101325, v.N: 1})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plots\n", "Next we plot the degree of ordering versus temperature. We can see that the decrease in the degree of ordering is relatively steady and continuous. This is indicative of a second-order transition from partially ordered B2 to disordered bcc (A2)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Degree of ordering')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "degree_of_ordering = as_property('degree_of_ordering(B2_BCC)')\n", "degree_of_ordering.display_name = 'Degree of ordering'\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "ax.set_title('Al-Fe: Degree of bcc ordering vs T [X(AL)=0.25]')\n", "ax.plot(wks1.get(v.T), wks1.get(degree_of_ordering))\n", "ax.set_xlabel(f'{v.T.display_name} [{v.T.display_units}]')\n", "ax.set_ylabel(f'{degree_of_ordering.display_name}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the heat capacity curve shown below we notice a sharp increase in the heat capacity around 750 K. This is indicative of a magnetic phase transition and, indeed, the temperature at the peak of the curve coincides with 75% of 1043 K, the Curie temperature of pure Fe. (Pure bcc Al is paramagnetic so it has an effective Curie temperature of 0 K.)\n", "\n", "The decrease in heat capacity near 1250 K corresponds to the order-disorder transition observed in the above figure. We also observe a sharp jump in the heat capacity near 1800 K, corresponding to the melting of the bcc phase." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Heat Capacity [J/mol/K]')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "heat_capacity = as_property('HM.T')\n", "heat_capacity.display_name = 'Heat Capacity'\n", "heat_capacity.display_units = 'J/mol/K'\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "ax.set_title('Al-Fe: Heat capacity vs T [X(AL)=0.25]')\n", "ax.plot(wks1.get(v.T), wks1.get(heat_capacity))\n", "ax.set_xlabel(f'{v.T.display_name} [{v.T.display_units}]')\n", "ax.set_ylabel(f'{heat_capacity.display_name} [{heat_capacity.display_units}]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To understand more about what's happening around 700 K, we plot the degree of ordering versus composition. Note that this plot excludes all other phases except `B2_BCC`. We observe the presence of disordered bcc (A2) until around 13% Al or Fe, when the phase begins to order." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Degree of ordering')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "ax.set_title('Al-Fe: Degree of bcc ordering vs X(AL) [T=700 K]')\n", "ax.plot(wks2.get(v.X('B2_BCC', 'AL')), wks2.get(degree_of_ordering))\n", "ax.set_xlabel(f\"{v.X('B2_BCC', 'AL').display_name} [{v.X('B2_BCC', 'AL').display_units}]\")\n", "ax.set_ylabel(f'{degree_of_ordering.display_name}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the plot abruptly ends around 0.8 fraction of Al, corresponding to the (metastable, because only liquid is entered) limit of stability of B2 on the phase diagram at this temperature. Because we want to plot in the metastable region, we will now tell pycalphad that we want to remove liquid from the calculation and then repeat it." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Degree of ordering')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wks2.phases = ['B2_BCC']\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "ax.plot(wks2.get(v.X('B2_BCC', 'AL')), wks2.get(degree_of_ordering))\n", "ax.set_xlabel(f\"{v.X('B2_BCC', 'AL').display_name} [{v.X('B2_BCC', 'AL').display_units}]\")\n", "ax.set_ylabel(f'{degree_of_ordering.display_name}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al-Ni (Degree of Ordering)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2022-02-19T19:18:14.121543Z", "iopub.status.busy": "2022-02-19T19:18:14.121543Z", "iopub.status.idle": "2022-02-19T19:18:16.781182Z", "shell.execute_reply": "2022-02-19T19:18:16.781182Z" } }, "outputs": [], "source": [ "db_alni = Database('NI_AL_DUPIN_2001.TDB')\n", "phases = ['LIQUID', 'FCC_L12']\n", "wks3 = Workspace(db_alni, ['AL', 'NI', 'VA'], phases,\n", " {v.X('AL'): 0.10, v.T: (300, 2500, 20), v.P: 101325})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plots\n", "In the plot below we observe two phases designated `FCC_L12`. This is indicative of a miscibility gap. The ordered gamma-prime phase steadily decreases in amount with increasing temperature until it completely disappears around 750 K, leaving only the disordered gamma phase." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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21GNDzFRXNvXUVJQ2FTUe3s6Y9sDl8PR2keX5zebYNM+vAT9DUYQQQnqHChvOhISEtHtfVUUdvnzvECrKmooaTx9nTHtgFDy8nOVqnnmPDYeFTUf5EPuibNhG+bBL7mz4+LYgkrq6Oou3V1fWmxU1Xj4ushc1QKs5NmaFDR9DUe3lQ+yPsmEb5cMuubOhwoYzZWVlbW6rqarHl+8dlIoab18XTHtQ/qIGaHWtKA4LG0v5EDZQNmyjfNgldzZU2HCutlqPL987hPLSSz01dz4wCu6eWru0p/0eG3qrEkII6Rx9W3Cm5dLWtTX6pnVqSprWqfH0dsadD1xut6IG6GiODR89NrQsPLsoG7ZRPuyiSyoQm8rKygLw17Wf1h9GaVHTisLuXlrc+cDldhl+aknV4h3J41lRzfkQ9lA2bKN82CV3Nnx8WxBJY2MjGvQGfPXBYRQXVANoWnxv2gOjZDuluyNmc2xM/PXYNDY22rsJpB2UDdsoH3bJnQ0VNpxx1rpgyydHcfFc0wUtm6/95OVj/6IGaD3HRpR+56WwcXOz3eUqSO9QNmyjfNgldzZU2HDEZDThj5+LkXemFACg0TrgjvtGwkeGFYW7qr05NrxcBNPf39/eTSDtoGzYRvmwS+5s+Pi2IBBFEdu+PoWzGU1FjYOjGlNnjkBAMFsXjjMfimrZY8PHW/Xs2bP2bgJpB2XDNsqHXXJnw8e3BcGvP2Uh9egFAIBaLeDWe4YjJNzbzq1qq/3TvWmRbEIIIZ2jwoYDJ4/k47fdZ6S/b7hzKCIG+NmxRe1rWdiIJv7OiurXr5+9m0DaQdmwjfJhl9zZ8PFtwbHcrFLs2Pyn9PfIq0IQNzjIji3qmGBW2PA3FNXQ0GDvJpB2UDZso3zYJXc2fHxbcKqksBrffHpUmqsy/Iow+IeyHTnvZ0WVlJTYuwmkHZQN2ygfdsmdDdvfcqTHdLUN+PrDI2jQGwAA0fH+uOamBLPJuSzifR0bQgghvUOFTR8kmkT8sOkkqirqAQCBIR648W9DoVIJiIuLs3PrOqbifCiK9Xx4RtmwjfJhl9zZ8PFtwZlDv5zF2YxiAICzqxNuu/cyODk1nVWUk5Njx5Z1zmwdGxN/Q1Gs58MzyoZtlA+75M6GCps+5nxuOX7+8XTTHwJw451D4OZx6aKWer3eTi3rGlW7hQ0fb1XW8+EZZcM2yoddcmfDx7cFJ3S1Dfjui+PSEM4VV0e3Oa3b1ZWdVYYtaTnHRhT567FhPR+eUTZso3zYJXc2zBU2a9asQUREBLRaLUaPHo2DBw92uP3rr7+OuLg4ODs7IzQ0FH//+99RX18vU2vZ0Tyvprqy6bWHRvrgyokxbbYLCmL3VG+gox4bPgob1vPhGWXDNsqHXXJnw1Rhs2HDBixYsAApKSn4448/MHToUEyePBlFRUUWt//ss8/w9NNPIyUlBWlpafjvf/+LDRs24JlnnpG55faXnVEszatxcXXCjdOGmBUJzc6cOdPmNpbwvo4N6/nwjLJhG+XDLrmzYerbYtWqVXjwwQcxe/ZsJCYmYt26dXBxccH69estbr9//36MHTsWd911FyIiIjBp0iRMnz69016evijt+EXp9+RbEs3m1ShJy1qsxdne3BQ2hBBCeoeZb4uGhgYcOXIEycnJ0m0qlQrJyck4cOCAxcdceeWVOHLkiFTIZGdnY+vWrbjhhhtkaTMrGhuNOJPe1KuldXZEdEJAu9uy3l1r1mPTco6NAw1FEfuibNhG+bBL7myYubJgSUkJjEYjAgMDzW4PDAxEenq6xcfcddddKCkpwbhx4yCKIgwGAx555JFOh6Kqq6uhUl2q6TQaDTQaTe9fhJ3kZJagscEIAIhJDIC6g96NlovesUgQBAgCIIqt5tio+ChsWM+HZ5QN2ygfdsmdDTOFTU/s2bMHL774ItauXYvRo0cjKysLTzzxBJYvX47nn3++3ccNGjQIOp1O+nv27NmYN28egoODpbHAwMBAiKIoze8ZMGAA8vPzUVdXB61Wi9DQUJw+3XRadUBAAFQqFQoKCgAA0dHRKCgoQG1tLTQaDSIiIpCRkQEA8PPzg5OTEy5caLrSdmRkJIqLi1FTUwNHR0fExMQgLS0NAODj4wNnZ2ecP38eABAREYGysjJUVVVBrVYjLi4OaWlp+OPXYum1OHs2IDU1FWFhYaiqqkJFRQUEQUBCQgIyMjJQUVGB+vp6eHt7Izc3FwDQv39/6HQ6lJWVAQASExORmZkJg8EAd3d3+Pn5SZed79evH/R6PUpLSwEA8fHxyM7ORkNDA1xdXREYGIjs7GwAQHBwMAwGA4qLm9oXGxuLvLw81NfXw9nZGSEhIcjKypKONwAUFhYCAgARaGxslF6XSQBSU1MBAP7+/nBwcMDFi03Db1FRUSgsLERtbS2cnJwQFRUlFcO+vr7QaDRmx7ukpATV1dVwcHBAbGystF8fHx+4uLggPz8fABAeHo7y8vI2x1sURXh5ecHDwwN5eXkAgNDQUFRXV7c53kajER4eHvDx8ZHWcggJCUFdXZ10vBMSEpCVlYXGxkbU1dXB1dXV7Hg3NDRIS5LHxcUhJycHer0erq6uCAoKkt6zQUFBMJlMZu/Zc+fOSce7f//+Zu9ZQRCajvdf79mLFy9Cp9NBo9EgPDwcmZmZ7R7voqIi1NTUWDzeWq3W4nu29fH29vaGm5sbzp07BwAICwtDZWUlKisroVKpEB8fj/T0dJhMJnh6esLT09PseNfU1KC8vLzNe9bS8a6vr7f4nnVzc0NAQECH79nc3Fzo9XrodDq4u7sr8jOi+T3r7u5udrwtfUY0v2eZ/owAEBMTg/Pnz0vHW6fTSVn05c8INzc3+Pv7K+ozQq/XS8/Z08+Ilj34nRHE7mxtQw0NDXBxccGmTZtw6623SrfPnDkTFRUV+Oabb9o8Zvz48bjiiivwyiuvSLd98skneOihh1BTU2PWKwMABoMBe/fuRVRUVJ/psWlsNGLtC7vQ2GCE1tkRjz5zTYc9NqmpqUhMTJSxhd33esqPMDSa4OUM9F/zTwBA/L/mI+KBO+3cMttTQj68omzYRvmwyxrZGI1GHD9+HElJSXBw6LhPhpk5Nk5OThgxYgR27twp3WYymbBz506MGTPG4mN0Ol2b4kX912nBHdVr7u7u8PDwkH6UWtQA3RuGApoqdNY1r2VjEvkbilJCPryibNhG+bBL7myYKWwAYMGCBXj33Xfx4YcfIi0tDY8++ihqa2sxe/ZsAMCMGTOwZMkSafspU6bg7bffxhdffIGzZ89ix44deP755zFlyhSpwOnrMk5eOhsqbnDnE7Sau6FZ1nyaesvalJezopSQD68oG7ZRPuySOxum5thMmzYNxcXFWLp0KQoKCjBs2DBs27ZNGlvNy8sz66F57rnnIAgCnnvuOZw/fx7+/v6YMmUKXnjhBXu9BFk1nQ3VNDatdXZEWLRvp49RwuKFFgsbTs6KUkI+vKJs2Eb5sEvubJgqbABg7ty5mDt3rsX79uzZY/a3g4MDUlJSkJKSIkPL2HM2o1gahhowMLDTYSgAcHZ2tnWzeq15KMrsdG8VHz02SsiHV5QN2ygfdsmdDR/fFn1U5qkC6ffYQYEdbHlJ//79bdUcqxEsDkXx0WOjhHx4RdmwjfJhl9zZUGGjUD0ZhgIgncrHsuahKBOHQ1FKyIdXlA3bKB92yZ0NFTYK1ZNhKKWw2GPDyVAUIYSQ3qFvC4U6m1ki/d7VYSigadEl1qma59i0uI2Xs6KUkA+vKBu2UT7skjsbPr4t+hhRFJGT1VTYqB1U6B/p0+XHNk/MZRnPZ0UpIR9eUTZso3zYJXc2VNgoUHmpDtUVTafP9Y/whqNj17/0m5fHZpk0FNXyNk4mDyshH15RNmyjfNgldzZU2ChQzulLw1DhMV2bNKwkwl/vSppjQwghpLvo20KBcrNKpd/DY/y69djo6GhrN8fqmhdhNOFS9yUvQ1FKyIdXlA3bKB92yZ0NFTYKYzSacC67qbBxdnVCQJB7tx7ffPVVljUPx/I4FKWEfHhF2bCN8mGX3NlQYaMwBfmVaNA3neYdHu0rzUfpKp1OZ4tmWZVKek3CpeKGk6EoJeTDK8qGbZQPu+TOho9viz7EbH7NgO7Pr1HClcxVLYu1v7pvVJwMRSkhH15RNmyjfNgldzZU2ChMy/k1Ed2cXwMA4eHh1myOTbQ8NVBsnknMyTo2SsiHV5QN2ygfdsmdDR/fFn2Evr4RF/MrAQA+/q5w99R2ex+ZmZnWbpbVCRZ6bAQVHz02SsiHV5QN2ygfdsmdDRU2CpKXXQbxrwso9cXTvJu1HIoS/5pbw8tZUYQQQnqHChsFyT3du2EoAPD397dWc2zGvMfmr8KGk6EoJeTDK8qGbZQPu+TOho9viz4i96/LKKhUAkKjun4ZhZYcHBys2SSbUJnNsWkeiuLjraqEfHhF2bCN8mGX3Nnw8W3RB1SW16G8tOmUuX5hXnDS9OyNooS1HngeilJCPryibNhG+bCL1rEhFjX31gB9e34N0N5QFB+FDSGEkN6hwkYBRFHEqSPnpb+7exmFlqKioqzRJJsSLA1FcTLHRgn58IqyYRvlwy65s+Hj20Lhzp0tw4W8CgCAb4Abgvt79nhfRUVFVmqV7Zgt0Kfiq8dGCfnwirJhG+XDLrmzocJGAX7fky39PvrqqG5fRqGlmpoaazTJpszm2HA2FKWEfHhF2bCN8mGX3NlQYcO4i+cqpNWGvXxcED84qFf7c3JyskazbEpo+a7kbChKCfnwirJhG+XDLrmz4ePbQsF+231G+n1UUiRUvfyCV8I4tKrFqd289dgoIR9eUTZso3zYRXNsiKToYhXOpBcDANw9tRg4PKTX+0xPT+/1PmytxdzhS6d7c9Jjo4R8eEXZsI3yYZfc2fDxbaFQLefWXD4+EmoHPuKyeK0oTnpsCCGE9A4f35QKVFpUg4xTBQAAF1cnDL68v1X26+vL/ho4liYPg5OVh5WQD68oG7ZRPuySOxs+vi0UaP/OLKDpepcYOT4Cjo7W6bHQart/RXC5qSws0KfiZOVhJeTDK8qGbZQPu+TOhgobBmWlFSHjZFNvjdbZEcNGh1lt3+fPn+98IzszW6CvucjhZI6NEvLhFWXDNsqHXXJnw8e3hYLU1zVix5Y/pb+vuTG+x9eFUipLPTY0x4YQQkhXUGHDmD1b01FbrQcARMb6IXF4P6vuPyIiwqr7swWh9RwblcqsF6cvU0I+vKJs2Eb5sEvubKiwYUjO6RLpmlBOGjWuvXWg1b/Qy8rKrLo/W2h9rSheTvUGlJEPrygbtlE+7JI7G36+MRjXoDfgx82npL+TrouDh5ez1Z+nqqrK6vu0ttbXiuKpsFFCPryibNhG+bBL7mz4+cZg3N4fMlBVUQ8ACI3ywZDLQ23yPA4O7M/XaX26t6Bmv83WooR8eEXZsI3yYZfc2VBhw4CTh/Nx/OA5AICDoxqTbxvUqwtddiQ2NtYm+7Wm1gv08dRjo4R8eEXZsI3yYZfc2fDzjcGo87nl2PHNpbOgJk5JgJevi82eLzU11Wb7thbzHhu+Chsl5MMryoZtlA+75M6Gn28MBlVX1uObT4/CZGxaiW/4FWEYPNI6KwwrmdmEaZWKTvUmhBDSZVTY2EljoxFbPvkDupoGAE3zaq6+Md7mz+vt7W3z5+itlldPaJpjw09ho4R8eEXZsI3yYZfc2VBhYweiScT2r06i8HzTTHEPb2dMmT4MahmGXNzc3Gz+HL0ltKhseBuKUkI+vKJs2Eb5sEvubPj5xmCEaBLx45Y/kX6i6ZIJjk5q3HbvZXBxdZLl+c+dOyfL8/SG2bxpzoailJAPrygbtlE+7JI7GypsZCSKInZ9l4aTh/MBNJ39c+O0ofAPcrdzy9jSeuVhnnpsCCGE9A59Y8hEFEXs/SEDR3/LAwAIAnDjnUMQkxAgazvCwqx3QU1bUbU63Rsc9dgoIR9eUTZso3zYJXc2VNjIQBRF/LLjNA7/ktN0gwBcd/tgxA8Jlr0tlZWVsj9nd5n12KhUUHFU2CghH15RNmyjfNgldzZU2NiYyWjCT9+k4vc92dJt194yEAMvC7FLe5Twj18ltLq6N0dDUUrIh1eUDdsoH3bJnQ2tQW1DjQ1GfPfFMZxJL5ZumzAlAUNH2eZyCV2hUrFfJAitF+hTQJutRQn58IqyYRvlwy65s6HCxkZ0NQ3Y/PERXDzXVKmq1AKuu30wEof1s2u74uNtv1ZOb7W9VhQ/Q1FKyIdXlA3bKB92yZ0Nlbg2UFJYjc/e+U0qapw0atw+c6TdixoASE9Pt3cTOiW0ubo3P4WNEvLhFWXDNsqHXXJnQz02VpZ67AJ+3PwnDI1GAICruwa3zxqBgGAPO7esiclksncTOtVyjg1vC/QpIR9eUTZso3zYJXc2VNhYicFgwu7v03D890sLEfkHu+PWey6Dp7ezHVtmztPT095N6JT51b356rFRQj68omzYRvmwS+5sqLCxgsryOvzv82MoyL8083vQiBBMvDkRjo5sfSkr4R9/2zk2/PTYKCEfXlE2bKN82CV3Nvx8Y9jQtq9OSkWNg4MKk6cOwnW3D2auqAGAvLw8ezehU+ZX9xa46rFRQj68omzYRvmwS+5sqLCxgmtvHQgnjRpePi6465ErMHhkf3s3SdF4PiuKEEJI79BQlBX4+Lli6syR8At0g9bZ0d7N6VBoqP3W0Okqnq8VpYR8eEXZsI3yYZfc2fDzjWFj/SO8mS9qAKCmpsbeTeiU2VpOnJ0VpYR8eEXZsI3yYZfc2fDzjUEAAOXl5fZuQqdarjQsqlQQHPjpWFRCPryibNhG+bBL7myosCHMaXm2Nzi7pAIhhJDeoW8MziQmJtq7CZ1qPceGp4tgKiEfXlE2bKN82CV3Nvx8YxAAQGZmpr2b0Cmzs6JUKqgc+DkrSgn58IqyYRvlwy65s2GusFmzZg0iIiKg1WoxevRoHDx4sMPtKyoqMGfOHAQHB0Oj0SA2NhZbt26VqbXKYzAY7N2ETpmtYyMIgIqfwkYJ+fCKsmEb5cMuubNhalbmhg0bsGDBAqxbtw6jR4/G66+/jsmTJyMjIwMBAQFttm9oaMC1116LgIAAbNq0CSEhIcjNzYWXl5f8jVcIDw82rlnVEZ5XHlZCPryibNhG+bBL7myYKmxWrVqFBx98ELNnzwYArFu3Dt9//z3Wr1+Pp59+us3269evR1lZGfbv3w9Hx6ZTrSMiIuRssuL4+PjYuwmdanN1b46GopSQD68oG7ZRPuySOxtm/le4oaEBR44cQXJysnSbSqVCcnIyDhw4YPEx3377LcaMGYM5c+YgMDAQgwYNwosvvgij0ShXsxUnJyfH3k3olHmPDV9nRSkhH15RNmyjfNgldzbM9NiUlJTAaDQiMDDQ7PbAwECkp6dbfEx2djZ27dqFu+++G1u3bkVWVhYee+wxNDY2IiUlpd3nqq6uhqrFl6VGo4FGo7HOCyG9Zj7HRgVBLbS/MSGEENICM4VNT5hMJgQEBOA///kP1Go1RowYgfPnz+OVV17psLAZNGgQdDqd9Pfs2bMxb948BAcH48yZMwCaCipRFFFUVAQAGDBgAPLz81FXVwetVovQ0FCcPn0aABAQEACVSoWCggIAQHR0NAoKClBbWwuNRoOIiAhkZGQAAPz8/ODk5IQLFy4AACIjI1FcXIyamho4OjoiJiYGaWlpAJq675ydnXH+/HkATcNsZWVlqKqqglqtRlxcHNLS0iCKIry8vODu7o5z584BAMLCwlBVVYWKigoIgoCEhARkZGSgsbER+fn58Pb2Rm5uLgCgf//+0Ol0KCsrA9B0al5mZiYMBgPc3d3h5+eHs2fPAgD69esHvV6P0tJSAEB8fDyys7PR0NAAV1dXBAYGIjs7GwAQHBwMg8GA4uJiAEBsbCzy8vJQX18PZ2dnhISEICsrSzreAFBYWAh93aUeN1FQoaq2EgaDQZpZ7+/vDwcHB1y8eBEAEBUVhcLCQtTW1sLJyQlRUVFSMezr6wuNRmN2vEtKSlBdXQ0HBwfExsYiNTVVOt4uLi7Iz88HAISHh6O8vLzd4+3h4SFd3C00NBTV1dVtjrfRaISHhwd8fHyk/2sJCQlBXV2ddLwTEhKQlZWFxsZGODo6oq6uzux4NzQ0oKSkBAAQFxeHnJwc6PV6uLq6IigoSHrPBgUFwWQymb1nz507Jx3v/v37m71nBUFAYWGh9J69ePEidDodNBoNwsPDOzzeRUVFqKmpsXi8tVqtxfds6+Pt7e0NNzc3s/dsZWUlKisroVKpEB8fj/T0dJhMJnh6esLT09PseNfU1EgLf7V8z1o63vX19Rbfs25ubggICOjwPZubmwu9Xg+1Wg29Xt/nPyOa37Msf0YAQExMDM6fPy8d76CgIOm91Zc/I9zc3ODv76+oz4h+/fpJx7CnnxGiKKKrBLE7W9tQQ0MDXFxcsGnTJtx6663S7TNnzkRFRQW++eabNo9JSkqCo6MjfvrpJ+m2H374ATfccAP0ej2cnJzMtjcYDNi7dy+ioqK47bEpLCxs0yvGGl1tA9a+sAsA4J6XiaQYAfH/mGfnVslDCfnwirJhG+XDLmtkYzQacfz4cSQlJcGhk9XomZm84OTkhBEjRmDnzp3SbSaTCTt37sSYMWMsPmbs2LHIysqCyWSSbsvMzERwcHCboqYld3d3eHh4SD+8FDUApP+LYlnrdWx4OitKCfnwirJhG+XDLrmz6dVQVGpqKrKzs1FeXm6xm2jGjBnd2t+CBQswc+ZMjBw5EqNGjcLrr7+O2tpa6SypGTNmICQkBCtWrAAAPProo3jrrbfwxBNPYN68eTh9+jRefPFFPP744715WcTO2pzu7cBPYUMIIaR3elTYnDlzBvfccw8OHjzY7riXIAjdLmymTZuG4uJiLF26FAUFBRg2bBi2bdsmdWHl5eWZDSGFhoZi+/bt+Pvf/44hQ4YgJCQETzzxBBYvXtyTl8WF+Ph4ezehU60X6BM4WqBPCfnwirJhG+XDLrmz6VFh8/DDD+PkyZN4/fXXMX78eHh7e1utQXPnzsXcuXMt3rdnz542t40ZMwa//fab1Z6/r8vOzkZMTIy9m9Gh1teK4mkoSgn58IqyYRvlwy65s+lRYfPrr7/imWeewbx5fEzo7EsaGhrs3YROqTheoE8J+fCKsmEb5cMuubPp0f8K+/n5wdPT09ptITJwc3OzdxM61XIkShQErnpslJAPrygbtlE+7JI7mx59YzzyyCP45JNPaIVfBbJ0zS3WCIIA4dIfXM2xUUI+vKJs2Eb5sEvubHo0FBUbGwuj0YihQ4fivvvuQ2hoKNTqtl8+U6dO7XUDiXVlZ2cjMTHR3s3olCAAovjX6d4cDUUpJR8eUTZso3zYJXc2PSpspk2bJv3+1FNPWdxGEATq0SE9JggAxKbJw+BoKIoQQkjv9Kiw2b17t7XbQWQSHBxs7yZ0iQARgMDdUJRS8uERZcM2yoddcmfTo8ImKSnJ2u0gMjEYDPZuQpc0TyDmbShKKfnwiLJhG+XDLrmz6XUff2pqKn744Qf88MMP0oWrCLuaLzbHukuTh/lax0Yp+fCIsmEb5cMuubPp8SUVvvnmGyxYsEC6GmmzyMhIrFq1CjfffHNv20Y41lzYiIIAQcVPYUMIIaR3evSNsXXrVtx+++0AgBdffBGbN2/G5s2b8eKLL0IURUydOhXbtm2zakOJdcTGxtq7CV2iwl+X6hD4GopSSj48omzYRvmwS+5selTYLF++HEOGDMGJEyewePFi3Hzzzbj55puxePFinDhxAoMHD8ayZcus3VZiBbm5ufZuQrc0Xd2bn8JGafnwhLJhG+XDLrmz6VFhc+LECcycOROurq5t7nN1dcWsWbNw4sSJXjeOWJ9er7d3E7pE+KvHhrehKKXkwyPKhm2UD7vkzqZH3xharRZlZWXt3l9WVgatVtvjRhHbcXFxsXcTukS6rAJnk4eVkg+PKBu2UT7skjubHn1jTJgwAatXr8aBAwfa3Pf777/jjTfeQHJycq8bR6xPKWs9CGJzjw1fc2yUkg+PKBu2UT7skjubHhU2L7/8MrRaLcaNG4cxY8Zg1qxZmDVrFsaMGYMrr7wSWq0W//73v63dVmIFZ86csXcTuqR5KAoqgas5NkrJh0eUDdsoH3bJnU2PCpvIyEicOHECjz/+OMrLy7FhwwZs2LAB5eXleOKJJ3D8+HFERERYuamEJ5dO91ZxNceGEEJI7/R4HZuAgAC89tpreO2116zZHmJjgYGB9m5ClzQPRfF2urdS8uERZcM2yoddcmdD/yvMGbG5YGCc2VlRHA1FKSUfHlE2bKN82CV3Nl3qsbnvvvsgCAL+85//QK1W47777uv0MYIg4L///W+vG0isq6ioCH5+fvZuRqcuzbFRQZROker7lJIPjygbtlE+7JI7my4VNrt27YJKpYLJZIJarcauXbsgdPJl09n9hHSoRYXPU48NIYSQ3ulSYdP6elCt/ybKMWDAAHs3oUuEFoWNyNHkYaXkwyPKhm2UD7vkzqZH3xh5eXmoq6tr9/66ujrk5eX1uFHEdvLz8+3dhC6RhqIAQOCnsFFKPjyibNhG+bBL7mx6fLr35s2b273/22+/RWRkZI8bRWyno4KUKaLp0q8cDUUpJh8OUTZso3zYJXc2PSpsOpvh3NjYCBVHwwdKopRLXbQcigJH87WUkg+PKBu2UT7skjubLq9jU1VVhYqKCunv0tJSi8NNFRUV+OKLL2h5a0aFhobauwldYjbHhqOhKKXkwyPKhm2UD7vkzqbL3xivvfYaIiMjERkZCUEQMH/+fOnvlj/Dhw/H1q1b8cgjj9iy3aSHTp8+be8mdE2LoShw1PunmHw4RNmwjfJhl9zZdLnHZtKkSXBzc4Moili0aBGmT5+Oyy67zGwbQRDg6uqKESNGYOTIkVZvLOEHr2dFEUII6Z0uFzZjxozBmDFjAAC1tbWYOnUqBg8ebLOGEdsICAiwdxO6RGjZY8PRHBul5MMjyoZtlA+75M6mR9eKSklJsXY7iEwUM6nb1OKsKI7m2CgmHw5RNmyjfNgldzY9erbnnnsOw4YNa/f+4cOHY9myZT1tE7GhgoICezehS8zOiuLoA0sp+fCIsmEb5cMuubPp0TfGpk2bcP3117d7/w033IANGzb0uFGEmK1jw9FQFCGEkN7p8crD0dHR7d4fGRmJ3NzcHjeK2E5HubFEMLWcY8NPj41S8uERZcM2yoddcmfTo28MNze3DguXs2fP0mJJjFJMd62Jzx4bxeTDIcqGbZQPuxQxFHX11VfjnXfewfnz59vcd+7cOfznP//BNddc0+vGEeurra21dxO6xPysKH56bJSSD48oG7ZRPuySO5senRW1fPlyjBo1CgMHDsT999+PgQMHAgBOnTqF9evXQxRFLF++3KoNJdah0Wjs3YSuadljA356bBSTD4coG7ZRPuySO5seFTZxcXH4+eefMW/ePLz22mtm91111VV44403kJCQYJUGEuuKiIiwdxO6htOhKMXkwyHKhm2UD7vkzqbHffxDhgzB3r17UVRUhN9++w2//fYbioqKsGfPHgwZMsSabSRWlJGRYe8mdInAaWGjlHx4RNmwjfJhl9zZ9KjHpiU/Pz/4+flZoy2EXCLyORRFCCGkd3pV2OTn5+Po0aOorKyEqeXpuX+ZMWNGb3ZPbEAxRajRKP3acq2+vk4x+XCIsmEb5cMuubPpUWFTX1+PmTNn4quvvoLJZIIgCBD/+vYRWgwbUGHDHicnJ3s3oUvMhqI4qmyUkg+PKBu2UT7skjubHs2xeeaZZ/D111/jhRdewJ49eyCKIj788EP8+OOPuP766zF06FAcP37c2m0lVnDhwgV7N6FrWhQ2JhM/hY1i8uEQZcM2yoddcmfT40sqzJ49G4sXL5ZO9Q4JCUFycjK+++47eHl5Yc2aNVZtKOGL0HIoiqPChhBCSO/0qLApKirCqFGjAADOzs4AzBfguf322/H1119boXnE2iIjI+3dhK4xXSpsTBwNRSkmHw5RNmyjfNgldzY9KmwCAwNRWloKAHBxcYG3t7fZ6VxVVVWor6+3TguJVRUXF9u7CV3TcijKyE9ho5h8OETZsI3yYZfc2fRo8vDo0aPxyy+/YPHixQCAKVOm4JVXXkFwcDBMJhNee+01XHHFFVZtKLGOmpoaezeha8zOiuKnsFFMPhyibNhG+bBL7mx61GPz+OOPIyoqCnq9HkDTJRa8vLxw7733YubMmfD09MQbb7xh1YYS63B0dLR3E7rGxOccG8XkwyHKhm2UD7vkzqZHPTbjxo3DuHHjpL9DQ0ORlpaGkydPQq1WIz4+Hg4OvV77j9hATEyMvZvQNS16bHg6K0ox+XCIsmEb5cMuubPpdo+NTqfD1KlT8emnn5rvSKXC0KFDMWjQICpqGJaWlmbvJnSNkc/Jw4rJh0OUDdsoH3bJnU23CxsXFxf89NNP0Ol0tmgPIU1aLtDHUY8NIYSQ3unRHJtx48bhwIED1m4LkYGPj4+9m9A1nA5FKSYfDlE2bKN82CV3Nj0qbN566y38/PPPeO6555Cfn2/tNhEbal53iHkGPicPKyYfDlE2bKN82CV3Nj0qbIYOHYr8/HysWLEC4eHh0Gg08PDwMPvx9PS0dluJFZw/f97eTegak0H6lafTvRWTD4coG7ZRPuySO5suzfI9ceIEwsPDpWLljjvusGmjCGnZY8PTUBQhhJDe6VJhM3z4cHz88ce46667AAC5ubl49tlnMXHiRJs2jlhfRESEvZvQNWZzbOzYDpkpJh8OUTZso3zYJXc2XRqKcnZ2NjsLas+ePSgsLLRZo4jtlJWV2bsJnRJF0fwimBwNRSkhH15RNmyjfNgldzZd6rEZOnQoVq1aBbVaLQ1HHTp0CFqttsPHTZ06tfctJFZVVVVl7yZ0zmQCRD6vFaWIfDhF2bCN8mGX3Nl0qbBZvXo17rjjDtx///0AAEEQsHr1aqxevbrdxwiCAGOL/+smbFCr1fZuQqdEgxFCi14annpslJAPrygbtlE+7JI7my4VNiNHjkRWVhbOnDmDwsJCXH311Xj22WeRnJxs6/YRK4uLi7N3EzolGk3mV/fmaPKwEvLhFWXDNsqHXXJn0+XTvR0cHBAXF4errroKM2fOxE033YSkpKQOf3pqzZo1iIiIgFarxejRo3Hw4MEuPe6LL76AIAi49dZbe/zcfZ0Slh0XTUYIIp8rDyshH15RNmyjfNjF/CUVAOD999/H6NGjrd0WAMCGDRuwYMECpKSk4I8//sDQoUMxefJkFBUVdfi4nJwcPPXUUxg/frxN2tVXKGFYp/VQFE/XilJCPryibNhG+bBL7mx6VNjY0qpVq/Dggw9i9uzZSExMxLp16+Di4oL169e3+xij0Yi7774by5YtQ1RUlIytVR4vLy97N6FTotF88jBPPTZKyIdXlA3bKB92yZ0NU4VNQ0MDjhw5YjZ3R6VSITk5ucNrU/3zn/9EQECANLm5M9XV1aiqqpJ+9Hp9r9uuFO7u7vZuQqdEkwkCp3NslJAPrygbtlE+7JI7my5NHpZLSUkJjEYjAgMDzW4PDAxEenq6xcf88ssv+O9//4tjx451+XkGDRpkti7P7NmzMW/ePAQHB+PMmTPSc4qiKA2BDRgwAPn5+airq4NWq0VoaChOnz4NAAgICIBKpUJBQQEAIDo6GgUFBaitrYVGo0FERAQyMjIAAH5+fnBycsKFCxcAAJGRkSguLkZNTQ0cHR0RExMjjUf6+PjA2dlZWo46IiICZWVlqKqqglqtRlxcHNLS0iCKIry8vODu7o5z584BAMLCwlBVVYWKigoIgoCEhARkZGSgoqICISEh8Pb2Rm5uLgCgf//+0Ol00loDiYmJyMzMhMFggLu7O/z8/HD27FkAQL9+/aDX61FaWgoAiI+PR3Z2NhoaGuDq6orAwEBkZ2cDAIKDg2EwGFBcXAwAiI2NRV5eHurr6+Hs7IyQkBBkZWVJxxsACgsLYSguB1p0XVZUVMJgMCAzMxMA4O/vDwcHB1y8eBEAEBUVhcLCQtTW1sLJyQlRUVHS+8XX1xcajcbseJeUlKC6uhoODg6IjY1FamqqdLxdXFyk65+Fh4ejvLy83ePt4eGBvLw8AEBoaCiqq6vbHG+j0QgPDw/4+PggJycHABASEoK6ujrpeCckJCArKwuNjY2oq6tDYmKi2fFuaGhASUkJgKZJeDk5OdDr9XB1dUVQUJD0ng0KCoLJZDJ7z547d0463v379zd7zwqCIK1HFR0djYsXL0Kn00Gj0SA8PLzD411UVISamhqLx1ur1Vp8z7Y+3t7e3nBzczN7z1ZWVqKyshIqlQrx8fFIT0+HyWSCp6cnPD09zY53TU0NysvL27xnLR3v+vp6i+9ZNzc3BAQEdPiezc3NhV6vh06nw+DBg/v8Z0Tze5blzwgAiImJwfnz56XjrdPpoFKp2n3P9pXPCDc3N/j7+yvqM0Kv10MQBOl49+QzojvDWYLI0MDkhQsXEBISgv3792PMmDHS7YsWLcLevXvx+++/m21fXV2NIUOGYO3atbj++usBALNmzUJFRQW2bNnSZv8GgwF79+5FVFSU9A8AADQaDTQajW1eFGNSU1ORmJho72Z0qC6/ANsmP4YztzwEABg6OhTX3jLQzq2ShxLy4RVlwzbKh13WyMZoNOL48eNISkqCg0PHfTJM9dj4+flBrVa3WdW4sLAQQUFBbbY/c+YMcnJyMGXKFOk2019DGA4ODsjIyEB0dHSbx7m7u3O75kFYWJi9m9Ap0Wg+FMXTHBsl5MMryoZtlA+75M6GqTk2Tk5OGDFiBHbu3CndZjKZsHPnTrMenGbx8fE4efIkjh07Jv3cfPPNuOaaa3Ds2DGEhobK2XxFUMLqnKLRaDYUxdMcGyXkwyvKhm2UD7uYXHlYTgsWLMDMmTMxcuRIjBo1Cq+//jpqa2sxe/ZsAMCMGTMQEhKCFStWQKvVYtCgQWaPb5593fp20qSiogL9+vWzdzM6JBpbrWPDzmipzSkhH15RNmyjfNgldzbMFTbTpk1DcXExli5dioKCAgwbNgzbtm2TJo7l5eWZzY8h3dM8gYtlrVceFjm6urcS8uEVZcM2yoddcmfD1ORhW2uePDx06FBu59goQdWfp7HnlieQeefjAID4IUG46W/D7NsoQgghdtOdycPU9cGZ5lNKWdZ6gT4TRz02SsiHV5QN2ygfdsmdDRU2nFHEFdeNRvOzovjpVFRGPpyibNhG+bBL7myosOGMh4eHvZvQKZOx1bWiODorSgn58IqyYRvlwy65s6HCxkpKfzmMhtIKezejU97e3vZuQuc4vlaUIvLhFGXDNsqHXXJnQ4WNFdRknMUfMxZj/6TZqPgj1d7N6VDzEuksE40ms9O9ebq6txLy4RVlwzbKh11yZ0OFjRWkLlkJo64O9ecL8fstjyB3/VdczQuxNtFoBFr00vDUY0MIIaR3qLCxgiFrUuA1aggAQGw0IO2ZlTjx2D9gqNV18kj59e/f395N6FTrBfp4mmOjhHx4RdmwjfJhl9zZUGFjBdpgf4z66i1EPPw36baLm3fgwHUPQJeTb8eWtdXyquasan26N089NkrIh1eUDdsoH3bJnQ0VNlaicnRA/LLHMey/L0Lt5gIAqD2dg99ufAiVR9mZd1NWVmbvJnRK5PisKCXkwyvKhm2UD7vkzoYKGysLuvFqXPnj+3CLjQQANJRW4ODUuSj+ab+dW6YcrS+CSfOVCCGEdBUVNjbgGhWK0d++De8rhgEAjHX1+GPmYuR/9j/7NgxAYmKivZvQKdFoggBISw7z1GOjhHx4RdmwjfJhl9zZUGFjI45eHhj5xWsIunkigKZeiFMLVuDs2s/s2q7MzEy7Pn9XiIamVSqbJxDzNMdGCfnwirJhG+XDLrmzocLGhtRaDYauW4bwh6dJt2X88y3k/neT3dpkMBjs9txdJTZfTuGvISie1rFRQj68omzYRvmwS+5sqLCxMUGlQsKyJzBg8YPSbWnPrsK5T76xS3vc3d3t8rzdIf51XZHm60WJHF0EUwn58IqyYRvlwy65s6HCRibRf5+N6L/Pkv7+c+HLOP/lD7K3w8/PT/bn7K7moajmisbE0eW9lZAPrygbtlE+7JI7GypsZBSz6EFEPHpX0x+iiJPzX0DB/3bJ2oazZ8/K+nw90TwU1XzKN089NkrIh1eUDdsoH3bJnQ0VNjISBAFxS+cg7L47mm4wmXDi8eWoPJFh34YxRjT+Vdg0nxXF0RwbQgghvUOFjcwEQUDCv+aj3503AABMdXocnf009MXyLGDUr18/WZ6nN1oPRfF0VpQS8uEVZcM2yoddcmdDhY0dCCoVBr2yCJ4jBgIA6s8X4uj9z8DU0Gjz59br9TZ/jt4STc2ne/91VhRHhY0S8uEVZcM2yoddcmdDhY2dqDROGL5+BTTB/gCAioMnkPrMSpuvsltaWmrT/VuFsfl0b/56bBSRD6coG7ZRPuySOxsqbOxIG+iHy9avgErjBADI/+RbnPtws51bZX/SAn0crjxMCCGkd6iwsTPP4YkYtPJp6e/0lDdQk5Vrs+eLj4+32b6tpXkoqnmBPp6uFaWEfHhF2bCN8mGX3NlQYcOAfndch7D7m86UMukb8OeTL11afdfKsrOzbbJfa5LOihL567FRQj68omzYRvmwS+5sqLBhROwzj8I5vGnmePnvx5H3/tc2eZ6Ghgab7NeaeL5WlBLy4RVlwzbKh11yZ0OFDSMcXJ0xaOUS6e/MF96GLveC1Z/H1dXV6vu0tuYeG5j4u1aUEvLhFWXDNsqHXXJnQ4UNQ3zHjUDojNsAAEZdHf5c+G+rzy8JDAy06v5s4dLp3vz12CghH15RNmyjfNgldzZU2DAm7vnHoA1pehOU7juE859/Z9X9K2Ec+tICfaL0H14mECshH15RNmyjfNhFc2w45+DuioEvL5L+Tl/2FhqrauzYIvm1njwM8NVrQwghpOeosGGQ/8QxCL59EgDAUFmNvPe/stq+g4ODrbYvW5HOCGtxZhgvdY0S8uEVZcM2yoddcmdDhQ2jYp56AFA1xZPzzhcw1NZZZb8Gg8Eq+7GlS2dFXapmTDY6/Z01SsiHV5QN2ygfdsmdDRU2jHKN7I/gW5MBAI1llcj/5Bur7Le4uNgq+7El0Wh+EcxWv/ZpSsiHV5QN2ygfdsmdDRU2DIuad6/0+9m3P4Oxno+LvDUPRQkteml4mTxMCCGkd6iwYZh7QjQCrr8KAKAvKMH5DVt7vc/Y2Nhe78PWLA5FGfkobJSQD68oG7ZRPuySOxsqbBgX/cRM6fezb30CU2Pvxirz8vJ62ySbE1td3Rvgp8dGCfnwirJhG+XDLrmzocKGcZ7DEuB3zWgAQN25i7j49Y+92l99fb01mmVbJvOrewP8XC9KEflwirJhG+XDLrmzocJGAaLnz5J+z37zo0uTa3vA2dnZCi2yrUs9Ni3PiuKjsFFCPryibNhG+bBL7myosFEA79FD4X3FMABAbVYeKo782eN9hYSEWKlVttP6IpgAP0NRSsiHV5QN2ygfdsmdDRU2ChFy5w3S7yV7D/Z4P1lZWdZojk1JZ0VxuPKwEvLhFWXDNsqHXXJnQ4WNQvgmXS79XrrvkB1bYnvSUJuJv6EoQgghvUOFjUI4hwTCNSYMAFD5R2qPrx+lhCvgWhqK4qWwUUI+vKJs2Eb5sIuu7k3a5XvVKABNPRpl+/+wc2tsh+fTvQkhhPQOFTYK4nf1KOn30r09G44qLCy0VnNsRjRZulYUH4WNEvLhFWXDNsqHXXJnQ4WNgvhcORyCgxoAUNKH59k0D0W1vLo3L5OHCSGE9A4VNgri4OYKrxGDAAC6M3moO3ex2/uIiYmxdrOsrnkoqmWPDS9DUUrIh1eUDdsoH3bJnQ0VNgrje9Wls6N60mtz/vx5azbHJiyd7s3LtaKUkA+vKBu2UT7skjsbKmwUxuy07x7Ms6mrq7Nmc2xCGopqOceGkx4bJeTDK8qGbZQPu+TOhgobhfEclgAHDzcAQOkvh6Xeja7SarW2aJZVNa9jYzYU1b2XqVhKyIdXlA3bKB92yZ0NFTYKo3JwgO+4EQCAxrJKVJ3M7Nbjw8LCbNEs62oeihJa3sRHZaOIfDhF2bCN8mGX3NlQYaNALefZlO7r3uUVMjO7VwjZg6l5gT60nDxsr9bISwn58IqyYRvlwy65s6HCRoF8ky6tZ1PSw/VsmNZ8VlSLm+h0b0IIIV1BhY0CuUSEwDk0GABQfvAEjLr6Lj/W39/fVs2yGmmBvpZDUZx02SghH15RNmyjfNgldzZU2CiQIAjS2VFiQyNKfz3S5cc6ODjYqllWI10rqmVhw8np3krIh1eUDdsoH3bJnQ0VNgrln3yl9Hvhd7u7/LiLF7u/qJ/cREtDUZz02CghH15RNmyjfNgldzZU2CiU39WjoXZzAQAUbvsZpoZGO7fIeppPYVcJLW/jo7AhhBDSO1TYKJRaq0HA5HEAAENlNUq7uApxVFSULZtlFRaHojgpbJSQD68oG7ZRPuySOxsqbBQsaMoE6feC/+3q0mOUcAVcaYG+FrfxMnlYCfnwirJhG+XDLrq6N+myngxH1dbW2rpZvcbzUJQS8uEVZcM2yoddcmfDZGGzZs0aREREQKvVYvTo0Th4sP1F6N59912MHz8e3t7e8Pb2RnJycofb9yU9GY5ycnKydbN6TRqKalHZ8DIUpYR8eEXZsI3yYZfc2TBX2GzYsAELFixASkoK/vjjDwwdOhSTJ09GUVGRxe337NmD6dOnY/fu3Thw4ABCQ0MxadIkbq70GnzzROn3i992PhylhHFoi2dFcVLYKCEfXlE2bKN82MX9HJtVq1bhwQcfxOzZs5GYmIh169bBxcUF69evt7j9p59+isceewzDhg1DfHw83nvvPZhMJuzcuVPmltuHb9IoaTiqaNu+Toej0tPT5WhWr1haoI+X072VkA+vKBu2UT7skjsbpgqbhoYGHDlyBMnJydJtKpUKycnJOHDgQJf2odPp0NjYCB8fn3a3qa6uRlVVlfSj1+t73XZ7UWs1CLxuPADAUFWDkr3KH4ZrHopScTgURQghpHeYWqqxpKQERqMRgYGBZrcHBgZ2ueJbvHgx+vXrZ1YctTZo0CDodDrp79mzZ2PevHkIDg7GmTNnpOcURVEaAhswYADy8/NRV1cHrVaL0NBQnD59GgAQEBAAlUqFgoICAEB0dDQKCgpQW1sLjUaDiIgIZGRkAAD8/Pzg5OSECxcuAAAiIyNRXFyMmpoaODo6IiYmBmlpaQAAHx8fODs7S8NqERERKCsrQ1VVFdRqNeLi4pCWloaGoQOATdsBABmfbEZJiDfCwsJQVVWFiooKCIKAhIQEZGRkQK/XIz8/H97e3sjNzQUA9O/fHzqdDmVlZQCAxMREZGZmwmAwwN3dHX5+fjh79iwAoF+/ftDr9SgtLQUAxMfHIzs7Gw0NDXB1dUVgYCCys7MBAMHBwTAYDCguLgYAxMbGIi8vD/X19XB2dkZISAiysrKk4w00zZ5vPivKaDRIGRkMRqSmpgJoWp7bwcFBWvQpKioKhYWFqK2thZOTE6KioqT3i6+vLzQajdnxLikpQXV1NRwcHBAbGyvt18fHBy4uLsjPzwcAhIeHo7y8vM3xFkURXl5e8PDwQF5eHgAgNDQU1dXVbY630WiEh4cHfHx8kJOTAwAICQlBXV2ddLwTEhKQlZWFxsZGCIKAuro6s+Pd0NCAkpISAEBcXBxycnKg1+vh6uqKoKAg6T0bFBQEk8lk9p49d+6cdLz79+9v9p4VBEE6WyE6OhoXL16ETqeDRqNBeHi4dOE6S8e7qKgINTU1Fo+3Vqu1+J5tfby9vb3h5uaGc+fOAWi6AnBlZSUqKyuhUqkQHx+P9PR0mEwmeHp6wtPT0+x419TUoLy8vM171tLxrq+vt/iedXNzQ0BAQIfv2dzcXOj1eoiiCL1er8jPiOb3rLu7u9nxtvQZ0fyeZfkzAgBiYmJw/vx56Xh7eXlx8Rnh5uYGf39/RX1G+Pj4SMewp58R3em1F0SG+vgvXLiAkJAQ7N+/H2PGjJFuX7RoEfbu3Yvff/+9w8e/9NJLePnll7Fnzx4MGTKkzf0GgwF79+5FVFQUVKpLnVUajQYajcZ6L0Rmxno9dg++CYbqWjh4uGHCye+g0lierFVRUQEvLy95G9gNoihie/BYAIDh6mSkRzWtsDx+cixGJ/X9MXTW8+EZZcM2yodd1sjGaDTi+PHjSEpK6vQSDUwNRfn5+UGtVrc5572wsBBBQUEdPvbVV1/FSy+9hB9//NFiUdOSu7s7PDw8pB8lFzVAq7OjqmpQ+MPedrdt/r8SVjX31gCASt1iKIqTa0Wxng/PKBu2UT7skjsbpgobJycnjBgxwmzib/NE4JY9OK29/PLLWL58ObZt24aRI0fK0VTmBN96rfR76pKVqDuv0MWq/jojCmi62GczhjoWCSGEMIypwgYAFixYgHfffRcffvgh0tLS8Oijj6K2thazZ88GAMyYMQNLliyRtv/3v/+N559/HuvXr0dERAQKCgpQUFCAmpoae70Eu/CbOAYB118FAGgsr8LxR5bC1Ghos11kZKTcTesWsUVho+Lwkgqs58MzyoZtlA+75M6GucJm2rRpePXVV7F06VIMGzYMx44dw7Zt26SJY3l5eWZXCn377bfR0NCAO+64A8HBwdLPq6++aq+XYBeCIGDwa89A279pyK7i0EmcfumdNts1TzBjVcuhKKHFUBQv69iwng/PKBu2UT7skjsbps6KajZ37lzMnTvX4n179uwx+7t5FjkBHL08MOw//8LvtzwCsdGAs2s+hfcVwxBw7Vhpm+rqaju2sHNmc2yES3U3L9eKYj0fnlE2bKN82CV3NkwWNqTnvC5LRNzSOUh/fjUA4OTjy3Hljg/g/FdPTmezye1NNJtj0+J2TnpsWM+HZ5QN26yRj06nk5YCaTnHj/SOm5ubdPp/e0RRhFqthpeXV6+PPf1L7YPCH7gTZfuPouiHfWgsr8IfMxZh9Ddvw8HdFbGxsfZuXofMz4pq0WPDSWHDej48o2zY1tt8KisrIQgCfH19qaixMl9f3y5tV19fj4qKCnh7e/fq+ZibY0N6r3m+jUtECACgOjULxx56DqZGg7TwEavMJg+r+Jtjw3o+PKNs2NbbfBobG+Hh4UFFjQ3U1dV1aTutVgtji/+57SkqbPooRy8PjPh0JRy9PQAAJbt/R+rTrzB/2rTZ5OGWl1RgvN2EEGWjgoYN1siBCps+zDU6DMPffwmCkyMAIP/T/8HwTfuL97GgvaEoXnpsOrrGGbEvyoZtlA+75J6fRoVNH+dzxTAMXv2s9PfFNz7Bha9/tGOLOtbeUBQvc2xcXFzs3QTSDsqGbZRPWz4+Pvj++++tus+XXnoJV111VYfbzJkzB/fcc4/0d8tLGMmBChsO9LttEgYseVj6++Tjy1G041c7tqh9ZkNRHK483HxxPcIeyoZtvObTuohoKS0trcMLQvfE3LlzsWXLlm49pqGhwapt6AwVNpyIenwG+t97CwBANBhx7MFnUbb/qJ1b1ZZoaDEU5cDfWVGEEGItgYGBVr8WopubG/PDflTYcEIQBAx86Sn43Xg1AMBU34AjMxai8liafRvWimhqsY6Nir85NuHh4fZuAmkHZcM2yqet1kNRR44cQVJSEoKDgzFhwgR899138PHxwcmTJwEAn332GSIiIsz28f3335sVMq2HooxGI5599llEREQgOjoaKSkpbXrYnZycbPDq2keFDUcEtRoBzz0E/4lNFxQ11uhw+K4FqMk4a+eWXdL+HBt7tEZ+5eXl9m4CaQdlwzbKp2M1NTWYPn064uLisGvXLixevBhLly7t9X7XrFmDzz//HG+++Sa2bt2K8vJyfPfdd2bbWOMU7u6gBfo4U1Onw7B3X8Dhuxag/LdjaCyrxKH/exyXf/0W3GLs/388ZkNRHJ4VVVVVZe8mkHZQNmyzRT5ztqSjXNf2YsK25u3igDW3xlt1n5s2bYLJZMIbb7wBrVaLhIQEXLhwAU8++WSv9rtu3TrMnz8fU6ZMAQCsWrUKu3btMtuGChtiU2q1GmoXLUZ8/AoO3jEPVcfToS8qxaE75mHU5rVwjexv1/aJplaFzV9/8rKOjVqttncTSDsoG7bZIp9ynQElukar79ceMjMzMXDgQGi1Wum2yy+/vFf7rKqqQkFBAUaOHCnd5uDggOHDh5sNR8m9RhAVNpyJi4sDADi4u2LkF6/j0P/NQ/Wp09AXlODQ7XMxavMauISH2K+BrYei/ipseOmxac6HsIeyYZst8vF2sc9XpL2eV6VStZkf09jY+8KuZTElBypsOJOWloaEhAQAgJO3By7fsBoH75iHmrQzqL9QhINT52LU5rVwCQu2S/tMZmdFqYG//k3xclZUy3wIWygbttkiH2sPB9lTbGwsvvzyS9TX10uFxuHDh8228fX1RU1NDWpra+Hq6goAOHXqVLv79PDwQFBQEA4fPowrr7wSAGAwGHDs2DEMHTpU2q6urg7Ozs7WfkntosnDnGkzW93XC5d/uRpusZEAgPrzhTh0+1zo8i7ao3lms4RVav7WseHldSoRZcM2nvOpqqrCyZMnzX5ar+tzxx13QBAEzJ8/H+np6dixYwfeeusts21GjhwJFxcXLF++HGfPnsWmTZvw+eefd/jcDz/8MFavXo3vv/8emZmZeOqpp1BZWWn119gdVNhwxsvLq81tGn8fXP7Vm3Ad0DR5uO7cRRy87THoci/I3LpWl1RQXRoz56XHxlI+hA2UDdt4zueXX35BUlKS2c/LL79sto2bmxs+++wzpKam4uqrr8a//vUvpKSkmG3j7e2NdevW4aeffsK4cePw1VdfYdGiRR0+95w5c3DnnXfisccew+TJk+Hm5oabbrrJbBu556cJIkdlrsFgwN69ezF06FBuJwLW1NTAzc3N4n31hSU4dMc81J7OBQBoQwIx6uu3ZJ1zU/zTfhy55ykAQNRTD+Dbsn4AgP4R3vjbQ6Nla4e9dJQPsS/Khm29zae0tBS+vr5WbBH78vLyMGzYMOzduxeDBw+22fMYjcYuf+e2l4PRaMTx48eRlJTU6bWnqMeGM3l5ee3epw30w6iv3oLrgAgATcNSB2+bg9qz8i1VLpoNRfG38nBH+RD7omzYRvmwiy6pQOxKE+CLUV+/Bbe4v+bcXCjCwdseQ01WrizPb3atqJbr2PDTsUgIIaQXqLDhTGhoaKfbaPx9cPmmN+EWHwUATaeCT50rywrF5teKcoDw1+rDvPTYdCUfYh+UDdson+4LCwtDWVmZTYehALqkArGx6urqLm2n8ffBqE1vwn3gAACAvqgUB6fOQXVqli2bZ3ZJBUGtQvNVFXhZx6ar+RD5UTZso3zYJffKw1TYcKaioqLL2zr5eePyTW/CY0jTWg4NpRU4ePtcVJ7IsFHrzOfYQK2SLoTJy8rD3cmHyIuyYRvlwy4qbIhNdXdpaydvD1y+cTU8LxsIAGgsr8Kh/3scFX+k2qJ5ra4VpUbzBb5NRj4KG7mXHiddR9mwjfIhzaiw4UxPVuZ09HTH5Rteh9eoIQAAQ2U1Dt35OMoPnbR288wmD0Otlj6seJk8TCvbsouyYRvlwy45Vx0GqLDhTkZGz4aRHNxdMfLzVfC58jIAgLFGh8PT5qNs/1FrNs9sKEpQq5quFwVANLX3iL6lp/kQ26Ns2Eb5sKu+vl7W56PChjO9Get0cHXBiE9ehW9S0xVhjbo6HL57AUr2HbJW88yGogS1usVZUXxUNnKPRZOuo2zYRvmwS+4edypsOOPh4dGrx6tdtLjsw5fhn9x0wTNTnR5/3LsQxT/tt0bz2p4V1dxjw8dIVK/zIbZD2bCN8mGX3Cv9U2HDGR8fn17vQ63VYPj6FQi8IQkAYNI34I/ZT6Nw275e71s0tddjw0dlY418iG1QNmzjNZ85c+bAx8enzU92djYAoLCwEIsXL8bw4cMRFBSEQYMGYfr06di7d6/Zfk6cOIFZs2YhLi4OwcHBGDlyJJ544glkZVle4mPhwoVYvnw5AGDVqlWYO3eu2f0FBQV48MEHcfnllyM4OBhLliyxwau3jAobzuTk5FhlPyonRwx9ZzmCbpkIABAbDTj2wLMo+HZXr/bbeihKJfBV2FgrH2J9lA3beM5n4sSJSEtLM/sJDw9HXl4eJkyYgH379mHZsmX45ZdfsHHjRowbN87s4pbbt2/HpEmT0NDQgHfeeQe//fYb1q1bBw8PD7z44osWn/PQoUMYPbrp+n0HDhyQfm/W0NAAX19fPPnkk0hMTLTdi7eg4ytJEdIBlaMDhqxJgcrRERc2bYNoMOLYI0sxxGBAv6mTerbTVkNRgjR5mI/ChhBCukuj0SAwMLDN7U891XRB4Z9++gmurq7S7QkJCbjnnnsAADqdDnPnzsW1116Ljz/+WNomPDwcI0eORGVlZZv91tbWIi0tDaNGjYLJZMKhQ4fwwgsvmG0TFhaGl156CQDM9isH6rHhTEiIda/UrXJwwODVzyJk+l+XqTeZcGLOMpzfsLVH+zMfimo5x4aPwsba+RDroWzYRvmYKy8vx86dO/HAAw+YFTXNPD09AQC7du1CaWkp5s2bZ3E/zdsBTYVSREQEEhIS0NjYiGHDhiEyMhJVVVWYNGkSIiIikJ/f9qLJcq8xRD02nKmrqzN7o1qDoFZj0MqnoXJyxLkPNwOiiJPzX4BoNKL/XVO6tS/zoSgHCEJTQcPLUJQt8iHWQdmwzRb57J90H/TFpVbdZ1do/H1x5Y/ru7z99u3bza6VNXHiRMybNw+iKGLAgAEdPrZ5Lk5sbGynz7NkyRI8/vjjePXVVwE0FToffvghTp8+jX/9618AgKCgoC6321aosOFMWVmZTd54gkqFxJeegsrRAbnvbQREEacWrICp0YCwmbd1eT9tz4pq+puXoShb5UN6j7Jhmy3y0ReXQn+x2Kr7tIVx48Zh5cqV0t8uLi4We04s6U5vuK+vL3x9fXHw4EGsWLECYWFh+OOPPzB9+nSEhYVZ5TmsgQobYjWCICB++XwIDg7IWfc5ACB18SsQDUaE339Hl/bRtrD5q8eGk6EoQgg7NP6+inheV1dXREVFme9Do4EgCDh9+nSHj42OjgYAZGZmYtSoUe1ut3HjRixYsABA0xybe++9F4IgQKfT4eDBg3jyySexatUq/N///V+32m4LVNhwxtbLjguCgLiUuRAc1Dj71icAgLRnV0E0GhHx0LROH9/ykgqCgxoCZz02tCw8uygbttkin+4MB7HG29sbEyZMwHvvvYeHHnqozTybyspKeHp64pprroGvry/efPNNi5N8m7e77rrrMGLECGzduhXfffcd1q5di4MHD2LlypXYsGEDAMDf399iW1Qqeafz0uRhzrS3JoE1CYKA2GcfRfTfZ0m3pS9djZx3vuj0sWaFjUqN5jlnosjHBGI58iE9Q9mwjfJp65VXXoHJZEJycjK+/fZbnDlzBhkZGXjnnXcwaVLTmauurq5YvXo1fvzxR9x1113Ys2cP8vLycPToUaSkpEi9NO7u7oiKikJ2djaSkpIQFRWFvLw8jBs3DlFRUYiKioK7u7vZ8588eRInT55EdXU1SktLcfLkSaSnp9v8dVOPDWcaGxtleR5BEDBg8UMQ1GpkvfpfAEB6yhsQRRGRj0xv93Fth6Iu1d6iSYSg7ttX8JUrH9J9lA3bKJ+2IiIisHv3bqxatQrPP/88CgsL4evri2HDhpnNybnhhhuwbds2vPbaa3jooYdQXV2NkJAQjB8/Hs8++6zZPn/99Ve8/PLLAID9+/fj7rvvbvf5k5KSpN9PnDiBTZs2ITQ0FMePH7fyKzVHhQ1n3NzcZH2+mKfuBwQBWa+8BwDI+MebgCgi8tG7LG5vdhFMBzWEFn2KJrHvdzHKnQ/pOsqGbbzms2bNmg7vDwoKwssvvywVI+0ZPnw4Pvroo06f7/fff5d+37JlS4fblpWVAQD0ej00Gk2n+7aWvv49QVppbwzUlmKevA8xix6U/s5Y9hbOvv2ZxW3NTvdWqaSVhwE+LoRpj3xI11A2bKN82OXo6Cjr81Fhw5mzZ8/a5XljFszGgMXmxY2lOTct59hArYaqxdCT2PfrGrvlQzpH2bCN8mGXXq+X9fmosCGyif77bAxY8rD0d3rKG8h570uzbcyGotQqsxUreZg8TAghpHeosOFMv3797Pr80U/MNBuWSn/udeSu/0r6u/VFMJuvFQUAJmPfL2zsnQ9pH2XDNsqHXTQURWyqoaHB3k1AzILZiF5wn/R32jMrkffhZgCWzoriq8eGhXyIZZQN2ygfdsn92U2FDWdKSkrs3QQAQMzC+xE1f6b0d+riV5D/2XeAqVWPjdnk4b5f2LCSD2mLsmEb5cMug8Eg6/PR6d7ELprXuRENRmmF4lNProA2+NKZDYJabdZjw0NhQwghpHeox4YzcXFx9m6CpHmF4vDmSy2IIuovFF26n8OhKJbyIeYoG7ZRPuzSarWyPh8VNpzJycmxdxPMCIKA+GWPI3RG2yuAt548zMP1oljLh1xC2bCN8mEXne5NbEruN1hXCIKAxJeeRMi0G8xvd+Bvjg2L+ZAmlA3bKB920eRhYlOtr/DKCkGlwqBVS9DvjskAALeEaDj5eXM3x4bVfAhlwzpe85kzZw58fHza/GRnZwMACgsLsXjxYgwfPhxBQUEYNGgQpk+fjr1795rt58SJE5g1axbi4uIQHByMkSNH4oknnmj34qILFy7E8uXLAQCrVq3C3Llzze7/3//+h9tuuw0DBgxAXFwcJk2ahJ07d9rgCLRFhQ1ngoKC7N2EdglqNYa8lYKxuz/GmB/egyAI3M2xYTkf3lE2bOM5n4kTJyItLc3sJzw8HHl5eZgwYQL27duHZcuW4ZdffsHGjRsxbtw4LFq0SHr89u3bMWnSJDQ0NOCdd97Bb7/9hnXr1sHDwwMvvviixec8dOgQRo8eDQA4cOCA9Huz/fv345prrsGGDRuwc+dOjB8/HnfddRdOnDhhuwPxFzorijNnzpxBYmKivZvRIfeEaOl33oailJAPrygbtvGcj0ajQWBgYJvbn3rqKQDATz/9ZNajlZCQgHvuuQcAoNPpMHfuXFx77bX4+OOPpW3Cw8MxcuRIVFZWttlvbW0t0tLSMGrUKJhMJhw6dAgvvPCC2TYrVqyQfq+rq8Pzzz+PrVu3Ytu2bRgyZEjvXnAnqMeGMK3l1b0b9cb2NySEECIpLy/Hzp078cADD1gcpvP09AQA7Nq1C6WlpZg3b57F/TRvBzQVShEREUhISEBjYyOGDRuGyMhIVFVVYdKkSYiIiEB+fr7F/ZhMJtTU1MDb29sKr65j1GPDGaV117p7XjpNcMeWP/G3h0fDxdXJji2yLaXlwxPKhm22yOfjNftRWy3/pGRXdw3unXNll7ffvn07QkNDpb8nTpyIefPmQRRFDBgwoMPHNs/FiY2N7fR5lixZgscffxyvvvoqgKZC58MPP8Tp06fxr3/9C4DlHBwdHfHWW2+htrYWt956a1dfVo9RYcMZk0lZl8gePLI/Th7KR3mpDmUltfj6wyO48/7L4aTpm29dpeXDE8qGbbbIp7Zaj5oq9s+2GjduHFauXCn97eLi0m7PSWvdmbvo6+sLX19fHDx4ECtWrEBYWBj++OMPTJ8+HWFhYe0+btOmTXj55ZfxySefwN/fv93trKVvfjuQdhUVFcHPz8/ezegyZxcn3HHfSHz+zu+oqdKjIL8SWz45iqkzR8DBoe+NpCotH55QNmyzRT6u7hqr7s9Wz+vq6oqoqCiz2zQaDQRBwOnTpzt8bHR005zGzMxMjBo1qt3tNm7ciAULFgBommNz7733QhAE6HQ6HDx4EE8++SRWrVqF//u//zN73FdffYUFCxbggw8+wNVXX92t19VTVNgQ5nl6u+D2WSOx4d2DqK9rRN6ZUmz98jhu+tsws7OmCCHEmrozHMQab29vTJgwAe+99x4eeuihNvNsKisr4enpiWuuuQa+vr548803zSYPt97uuuuuw4gRI7B161Z89913WLt2LQ4ePIiVK1diw4YNANCmN+arr77CvHnzsHbtWkyaNMl2L7aVvve/vKRDnY23sso/yB1TZ14GB0c1ACDzVCF2fZdm51ZZn1Lz4QFlwzbKp61XXnkFJpMJycnJ+Pbbb3HmzBlkZGTgnXfekQoNV1dXrF69Gj/++CPuuusu7NmzB3l5eTh69ChSUlKkXhp3d3dERUUhOzsbSUlJiIqKQl5eHsaNG4eoqChERUXB3d1deu5Nmzbh0UcfxfLlyzF69GgUFhaisLAQVVVVNn/dTBY2a9asQUREBLRaLUaPHo2DBw92uP3GjRsRHx8PrVaLwYMHY+vWrTK1VHnOnTtn7yb0WL8wb9xyd1MvjYOjClFxth+rlZuS8+nrKBu2UT5tRUREYPfu3Rg/fjyef/55jB07FlOnTsW+ffvM5uTccMMN2LZtGxwcHPDQQw9h9OjRePDBB1FVVYVnn33WbJ+//vorrryyqSdr//790u+tffjhhzAYDFi4cCEGDhyIhIQEJCQkYMmSJbZ7wX8RRMZWPduwYQNmzJiBdevWYfTo0Xj99dexceNGZGRkICAgoM32+/fvx1VXXYUVK1bgpptuwmeffYZ///vf+OOPPzBo0CCzbQ0GA/bu3YuhQ4dCrVbL9ZKYkpqaqvi1HtJPXIS7pxYh4bY/bVBufSGfvoqyYVtv8yktLYWvr68VW0Sa1dXVwdnZuUvbtpeD0WjE8ePHkZSUBAeHjmfRMNdjs2rVKjz44IOYPXs2EhMTsW7dOri4uGD9+vUWt1+9ejWuu+46LFy4EAkJCVi+fDkuu+wyvPXWWzK3XBm6+uZiWfyQ4D5Z1AB9I5++irJhG+XDLpVK3lKDqcKmoaEBR44cQXJysnSbSqVCcnIyDhw4YPExBw4cMNseACZPntzu9gBQXV2Nqqoq6Yeni6f179/f3k0gHaB82EXZsI3yYZejo6Osz8fUWVElJSUwGo1tloYODAxEenq6xccUFBRY3L6goKDd5xk0aBB0Op309+zZszFv3jwEBwfjzJkz0j5EUURRURGApolp+fn5qKurg1arRWhoqHQaXUBAAFQqlfSc0dHRKCgoQG1tLTQaDSIiIpCRkQEA8PPzg5OTEy5cuAAAiIyMRHFxMWpqauDo6IiYmBikpTVNivXx8YGzszPOnz8PoGm8tKysDFVVVVCr1YiLi0NaWhpEUYSXlxfc3d2lceawsDBUVVWhoqICgiAgISEBGRkZqKioQEhICLy9vZGbmwug6QNBp9OhrKwMAJCYmIjMzEwYDAa4u7vDz88PZ8+eBQD069cPer0epaWlAID4+HhkZ2ejoaEBrq6uCAwMlBZ8Cg4OhsFgQHFxMYCmBaDy8vJQX18PZ2dnhISESBdYa86wsLAQABATE4Pz589LxzssLAyZmZkAmmbeOzg44OLFiwCAqKgoFBYWora2Fk5OToiKipLeL76+vtBoNGbHu6SkBNXV1XBwcEBsbCxSU1Ol491y/Yfw8HCUl5e3e7w9PDyQl5cHAAgNDUV1dXWb4200GuHh4QEfHx/k5OQAAEJCQlBXVycd74SEBGRlZaGxsRF1dXVITEw0O94NDQ0oKSkBAMTFxSEnJwd6vR6urq4ICgqS3rNBQUEwmUxm79lz585Jx7t///5m71lBEKTjHR0djYsXL0Kn00Gj0SA8PLzD411UVISamhqLx1ur1Vp8z7Y+3t7e3nBzczN7z1ZWVqKyshIqlQrx8fFIT0+HyWSCp6cnPD09zY53TU0NysvL27xnLR3v+vp6i+9ZNzc3BAQEdPiezc3NhV6vh06nw+DBg/v8Z0Tze1ZpnxE6nU7qGejJZ0RNTQ1cXFyg0WhgMBhgNBohCAK0Wi3q6uoAAA4ODlCpVGhoaAAAODk5wWg0WtxWrVZDrVZb3BZo6mGqr6+HKIpttnV0dIQoijAYDAAArVYLvV4PURShUqng6Ogo/Q95b7bVaDRobGyEyWRqs62DgwMEQUBjY2ObbQVBgEajQX19fZe2bTnjpfW2rY8hAIufEd2ZNcPUHJsLFy4gJCQE+/fvx5gxY6TbFy1ahL179+L3339v8xgnJyd8+OGHmD59unTb2rVrsWzZMukfQLPmOTZRUVFmXWMajQYajX3WK5AbzRNgG+XDLsqGbTTHhl1yz7FhqsfGz88ParW6TUFSWFjY7nLZQUFB3doeaDptjdfJw5YmYBN2UD7somzYRvmwq7NCxNqYmmPj5OSEESNGYOfOndJtJpMJO3fuNOvBaWnMmDFm2wPAjh072t2edy2vlk3YQ/mwi7JhW2/zYWjwos/pTjbWyIGpwgYAFixYgHfffRcffvgh0tLS8Oijj6K2thazZ88GAMyYMcPsPPgnnngC27Ztw8qVK5Geno5//OMfOHz4MObOnWuvl8C01r1bhC2UD7soG7b1Nh9BEOh6YDbSPJ+mM9YqLpkaigKAadOmobi4GEuXLkVBQQGGDRuGbdu2SRPH8vLyzObHXHnllfjss8/w3HPP4ZlnnsGAAQOwZcuWNmvYEEIIIe1xd3dHWVkZfHx8ZD89mTSprq6Gi4tLr/fD1ORhW6MF+gC9Xs/NRGklonzYRdmwzRr5NDQ0oLq6GqIo0tCjFRmNxk6/c0VRhKOjIzw9PdvdhyInDxPbu3jxIiIiIuzdDNIOyoddlA3brJGPk5MTnRllAzk5ObL+26H+No7o9Xq8+eabXC1IqCSUD7soG7ZRPuyyRzZU2HBEr9fj/fffp3/8jKJ82EXZsI3yYZc9sqHChhBCCCF9BhU2hBBCCOkzuJo83HwCWPO1OnhjMpng4uICk8nE7TFgGeXDLsqGbZQPu6yVTfNju3IiN1ene9fX1+PXX3+1dzMIIYQQ0gNjx46FVqvtcBuuChuTyYSGhgao1Wpao4AQQghRCFEUYTQa4eTk1OkCilwVNoQQQgjp22jyMCGEEEL6DCpsCCGEENJnUGGjcP/4xz8gCILZT3x8vHR/fX095syZA19fX7i5ueH2229vcxXcvLw83HjjjXBxcUFAQAAWLlwIg8Eg90vpE/bt24cpU6agX79+EAQBW7ZsMbtfFEUsXboUwcHBcHZ2RnJyMk6fPm22TVlZGe6++254eHjAy8sL999/P2pqasy2OXHiBMaPHw+tVovQ0FC8/PLLtn5pitdZNrNmzWrzb+m6664z24aysY0VK1bg8ssvh7u7OwICAnDrrbciIyPDbBtrfZbt2bMHl112GTQaDWJiYvDBBx/Y+uUpXlfyufrqq9v8+3nkkUfMtpEtH5EoWkpKijhw4EDx4sWL0k9xcbF0/yOPPCKGhoaKO3fuFA8fPixeccUV4pVXXindbzAYxEGDBonJycni0aNHxa1bt4p+fn7ikiVL7PFyFG/r1q3is88+K3799dciAHHz5s1m97/00kuip6enuGXLFvH48ePizTffLEZGRop1dXXSNtddd504dOhQ8bfffhN//vlnMSYmRpw+fbp0f2VlpRgYGCjefffd4qlTp8TPP/9cdHZ2Ft955x25XqYidZbNzJkzxeuuu87s31JZWZnZNpSNbUyePFl8//33xVOnTonHjh0Tb7jhBjEsLEysqamRtrHGZ1l2drbo4uIiLliwQExNTRXffPNNUa1Wi9u2bZP19SpNV/JJSkoSH3zwQbN/P5WVldL9cuZDhY3CpaSkiEOHDrV4X0VFhejo6Chu3LhRui0tLU0EIB44cEAUxaYPe5VKJRYUFEjbvP3226KHh4eo1+tt2va+rvWXp8lkEoOCgsRXXnlFuq2iokLUaDTi559/LoqiKKampooAxEOHDknb/PDDD6IgCOL58+dFURTFtWvXit7e3mb5LF68WIyLi7PxK+o72itsbrnllnYfQ9nIp6ioSAQg7t27VxRF632WLVq0SBw4cKDZc02bNk2cPHmyrV9Sn9I6H1FsKmyeeOKJdh8jZz40FNUHnD59Gv369UNUVBTuvvtu5OXlAQCOHDmCxsZGJCcnS9vGx8cjLCwMBw4cAAAcOHAAgwcPRmBgoLTN5MmTUVVVhT///FPeF9LHnT17FgUFBWZ5eHp6YvTo0WZ5eHl5YeTIkdI2ycnJUKlU+P3336VtrrrqKjg5OUnbTJ48GRkZGSgvL5fp1fRNe/bsQUBAAOLi4vDoo4+itLRUuo+ykU9lZSUAwMfHB4D1PssOHDhgto/mbZr3QbqmdT7NPv30U/j5+WHQoEFYsmQJdDqddJ+c+XC18nBfNHr0aHzwwQeIi4vDxYsXsWzZMowfPx6nTp1CQUEBnJyc4OXlZfaYwMBAFBQUAAAKCgrM3mjN9zffR6yn+XhaOt4t8wgICDC738HBAT4+PmbbREZGttlH833e3t42aX9fd91112Hq1KmIjIzEmTNn8Mwzz+D666/HgQMHoFarKRuZmEwmzJ8/H2PHjsWgQYMAwGqfZe1tU1VVhbq6Ojg7O9viJfUplvIBgLvuugvh4eHo168fTpw4gcWLFyMjIwNff/01AHnzocJG4a6//nrp9yFDhmD06NEIDw/Hl19+Sf9ICemGv/3tb9LvgwcPxpAhQxAdHY09e/Zg4sSJdmwZX+bMmYNTp07hl19+sXdTiAXt5fPQQw9Jvw8ePBjBwcGYOHEizpw5g+joaFnbSENRfYyXlxdiY2ORlZWFoKAgNDQ0oKKiwmybwsJCBAUFAQCCgoLanFnQ/HfzNsQ6mo+npePdMo+ioiKz+w0GA8rKyigzmUVFRcHPzw9ZWVkAKBs5zJ07F9999x12796N/v37S7db67OsvW08PDzofwS7oL18LBk9ejQAmP37kSsfKmz6mJqaGpw5cwbBwcEYMWIEHB0dsXPnTun+jIwM5OXlYcyYMQCAMWPG4OTJk2Yf2Dt27ICHhwcSExNlb39fFhkZiaCgILM8qqqq8Pvvv5vlUVFRgSNHjkjb7Nq1CyaTSfqgGDNmDPbt24fGxkZpmx07diAuLo6GOqwoPz8fpaWlCA4OBkDZ2JIoipg7dy42b96MXbt2tRnOs9Zn2ZgxY8z20bxN8z6IZZ3lY8mxY8cAwOzfj2z5dGuqMWHOk08+Ke7Zs0c8e/as+Ouvv4rJycmin5+fWFRUJIpi0ymSYWFh4q5du8TDhw+LY8aMEceMGSM9vvkUvEmTJonHjh0Tt23bJvr7+9Pp3j1UXV0tHj16VDx69KgIQFy1apV49OhRMTc3VxTFptO9vby8xG+++UY8ceKEeMstt1g83Xv48OHi77//Lv7yyy/igAEDzE4prqioEAMDA8V7771XPHXqlPjFF1+ILi4udEpxJzrKprq6WnzqqafEAwcOiGfPnhV/+ukn8bLLLhMHDBgg1tfXS/ugbGzj0UcfFT09PcU9e/aYnS6s0+mkbazxWdZ8OvHChQvFtLQ0cc2aNXS6dxd0lk9WVpb4z3/+Uzx8+LB49uxZ8ZtvvhGjoqLEq666StqHnPlQYaNw06ZNE4ODg0UnJycxJCREnDZtmpiVlSXdX1dXJz722GOit7e36OLiIt52223ixYsXzfaRk5MjXn/99aKzs7Po5+cnPvnkk2JjY6PcL6VP2L17twigzc/MmTNFUWw65fv5558XAwMDRY1GI06cOFHMyMgw20dpaak4ffp00c3NTfTw8BBnz54tVldXm21z/Phxcdy4caJGoxFDQkLEl156Sa6XqFgdZaPT6cRJkyaJ/v7+oqOjoxgeHi4++OCDZqemiiJlYyuWcgEgvv/++9I21vos2717tzhs2DDRyclJjIqKMnsOYlln+eTl5YlXXXWV6OPjI2o0GjEmJkZcuHCh2To2oihfPnQRTEIIIYT0GTTHhhBCCCF9BhU2hBBCCOkzqLAhhBBCSJ9BhQ0hhBBC+gwqbAghhBDSZ1BhQwghhJA+gwobQgghhPQZVNgQQgghpM+gwoYQQrpJEATp59VXX5Vu/+CDDyAIAg4fPmyV54mIiMCsWbO6/bjmduTk5HT7sVu2bDF7fdZ6LYTIhQobQuyg5RdHRz979uyxd1PtZu3atfjggw/s3Yx23Xbbbfj4449x44032rspVjVy5Eh8/PHHeOihh+zdFEJ6xMHeDSCERx9//LHZ3x999BF27NjR5vaEhAQ5m8WUtWvXws/Pr0c9FnIYMmQI7rnnHns3w6J7770Xf/vb36DRaLr92P79++Oee+6BwWDAf/7zHxu0jhDbosKGEDto/YX422+/YceOHcx+UfaWKIqor6+Hs7MztUMGarUaarXa3s0gxC5oKIoQRplMJrz++usYOHAgtFotAgMD8fDDD6O8vNxsu4iICNx0003Ys2cPRo4cCWdnZwwePFgaxvr6668xePBgaLVajBgxAkePHjV7/KxZs+Dm5obs7GxMnjwZrq6u6NevH/75z3+i9TVyu9um7du3S2165513AADvv/8+JkyYgICAAGg0GiQmJuLtt99u8/g///wTe/fulYblrr76agDAP/7xDwiC0OZ4WZpX0lE7KioqMH/+fISGhkKj0SAmJgb//ve/YTKZuhZQF5WXl2PUqFHo378/MjIyAAB6vR4pKSmIiYmBRqNBaGgoFi1aBL1e3+5+Dh8+DEEQ8OGHH7a5b/v27RAEAd999x2Ajo/FL7/8glGjRkGr1SIqKgofffSRVV8vIfZGhQ0hjHr44YexcOFCjB07FqtXr8bs2bPx6aefYvLkyWhsbDTbNisrC3fddRemTJmCFStWoLy8HFOmTMGnn36Kv//977jnnnuwbNkynDlzBnfeeWebL2+j0YjrrrsOgYGBePnllzFixAikpKQgJSWlx23KyMjA9OnTce2112L16tUYNmwYAODtt99GeHg4nnnmGaxcuRKhoaF47LHHsGbNGumxr7/+Ovr374/4+Hh8/PHH+Pjjj/Hss8/26DhaaodOp0NSUhI++eQTzJgxA2+88QbGjh2LJUuWYMGCBT16HktKSkowYcIEFBYWYu/evYiLi4PJZMLNN9+MV199FVOmTMGbb76JW2+9Fa+99hqmTZvW7r5GjhyJqKgofPnll23u27BhA7y9vTF58uQO25OVlYU77rgD1157LVauXAlvb2/MmjULf/75Z69fKyHMEAkhdjdnzhyx5T/Hn3/+WQQgfvrpp2bbbdu2rc3t4eHhIgBx//790m3bt28XAYjOzs5ibm6udPs777wjAhB3794t3TZz5kwRgDhv3jzpNpPJJN54442ik5OTWFxc3OM2bdu2rc1r1el0bW6bPHmyGBUVZXbbwIEDxaSkpDbbpqSkiJY+ut5//30RgHj27NlO27F8+XLR1dVVzMzMNLv96aefFtVqtZiXl9dm/y0BEFNSUtptw6FDh8SLFy+KAwcOFKOiosScnBxpm48//lhUqVTizz//bPbYdevWiQDEX3/91az9M2fOlP5esmSJ6OjoKJaVlUm36fV60cvLS7zvvvu6dCz27dsn3VZUVCRqNBrxySef7PC1EKIk1GNDCIM2btwIT09PXHvttSgpKZF+RowYATc3N+zevdts+8TERIwZM0b6e/To0QCACRMmICwsrM3t2dnZbZ5z7ty50u+CIGDu3LloaGjATz/91KM2RUZGWuxBaDm/pbKyEiUlJUhKSkJ2djYqKyu7fIy6ylI7Nm7ciPHjx8Pb29vstSQnJ8NoNGLfvn29es78/HwkJSWhsbER+/btQ3h4uNlzJyQkID4+3uy5J0yYAABtjmNL06ZNQ2NjI77++mvpth9//BEVFRUd9vY0S0xMxPjx46W//f39ERcXZ/H9QIhS0eRhQhh0+vRpVFZWIiAgwOL9RUVFZn+3LF4AwNPTEwAQGhpq8fbWc2JUKhWioqLMbouNjQUAaZ5Gd9sUGRlpcbtff/0VKSkpOHDgAHQ6ndl9lZWVUhutxVI7Tp8+jRMnTsDf39/iY1q/lu6699574eDggLS0NAQFBbV57rS0tB4999ChQxEfH48NGzbg/vvvB9A0DOXn5ycVRh1p/T4BAG9v7zbvB0KUjAobQhhkMpkQEBCATz/91OL9rb8U2zsDpr3bxVaTgm3RJktnHp05cwYTJ05EfHw8Vq1ahdDQUDg5OWHr1q147bXXujRx19LEYaBpnpAlltphMplw7bXXYtGiRRYf01zU9dTUqVPx0UcfYfXq1VixYkWb5x48eDBWrVpl8bGti9HWpk2bhhdeeAElJSVwd3fHt99+i+nTp8PBofOPc2u+HwhhFRU2hDAoOjoaP/30E8aOHSvLqckmkwnZ2dlmX+iZmZkAms6msVab/ve//0Gv1+Pbb7816z2wNPzSXgHj7e0NoOmsJi8vL+n23NzcLrcjOjoaNTU1SE5O7vJjumPevHmIiYnB0qVL4enpiaefftrsuY8fP46JEye2+xo7Mm3aNCxbtgxfffUVAgMDUVVVhb/97W/WbD4hikZzbAhh0J133gmj0Yjly5e3uc9gMKCiosLqz/nWW29Jv4uiiLfeeguOjo6YOHGi1drU3GPQsoegsrIS77//fpttXV1dLe4zOjoaAMzmwdTW1lo8Dbo9d955Jw4cOIDt27e3ua+iogIGg6HL+2rP888/j6eeegpLliwxO539zjvvxPnz5/Huu++2eUxdXR1qa2s73G9CQgIGDx6MDRs2YMOGDQgODsZVV13V6/YS0ldQjw0hDEpKSsLDDz+MFStW4NixY5g0aRIcHR1x+vRpbNy4EatXr8Ydd9xhtefTarXYtm0bZs6cidGjR+OHH37A999/j2eeeUYaYrJGmyZNmgQnJydMmTIFDz/8MGpqavDuu+8iICAAFy9eNNt2xIgRePvtt/Gvf/0LMTExCAgIwIQJEzBp0iSEhYXh/vvvx8KFC6FWq7F+/Xr4+/sjLy+vS6934cKF+Pbbb3HTTTdh1qxZGDFiBGpra3Hy5Els2rQJOTk58PPz69nBbOGVV15BZWUl5syZA3d3d9xzzz2499578eWXX+KRRx7B7t27MXbsWBiNRqSnp+PLL7+U1tzpyLRp07B06VJotVrcf//9UKno/1EJaUaFDSGMWrduHUaMGIF33nkHzzzzDBwcHBAREYF77rkHY8eOtepzqdVqbNu2DY8++igWLlwId3d3pKSkYOnSpVZtU1xcHDZt2oTnnnsOTz31FIKCgvDoo4/C398f9913n9m2S5cuRW5uLl5++WVUV1cjKSkJEyZMgKOjIzZv3ozHHnsMzz//PIKCgjB//nx4e3tj9uzZXXq9Li4u2Lt3L1588UVs3LgRH330ETw8PBAbG4tly5ZZdQLzunXrUFNTg9mzZ8Pd3R233HILtmzZgtdeew0fffQRNm/eDBcXF0RFReGJJ57o0vyeadOm4bnnnoNOp+vS2VCE8EQQadYYIVybNWsWNm3ahJqaGns3RTEEQcDChQuxaNEiuLq69qlLNDQ0NKCqqgpffPEF5s2bh0OHDnXag0QIS6j/khBCeuCVV16Bv7+/2YrJfcHWrVvh7++PefPm2bsphPQIDUURQkg37dixQ/q9t6eGs2bs2LFmry8uLs6OrSGk+6iwIYSQbrLVaeIs8Pf379Ovj/R9NMeGEEIIIX0GzbEhhBBCSJ9BhQ0hhBBC+gwqbAghhBDSZ1BhQwghhJA+gwobQgghhPQZVNgQQgghpM+gwoYQQgghfQYVNoQQQgjpM6iwIYQQQkif8f/rT7H9Bi/abgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "ax.plot(wks3.get(v.T), wks3.get('NP(LIQUID)'), label='Liquid')\n", "ax.plot(wks3.get(v.T), wks3.get('NP(FCC_L12#1)'), label='FCC#1')\n", "ax.plot(wks3.get(v.T), wks3.get('NP(FCC_L12#2)'), label='FCC#2')\n", "ax.set_xlabel(f'{v.T.display_name} [{v.T.display_units}]')\n", "ax.set_ylabel('fraction')\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the plot below we see that the degree of ordering does not change at all in each phase. There is a very abrupt disappearance of the completely ordered gamma-prime phase, leaving the completely disordered gamma phase. This is a first-order phase transition." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dis_degree_of_ordering = as_property('degree_of_ordering(FCC_L12#2)')\n", "dis_degree_of_ordering.display_name = '$\\gamma$ (disordered fcc)'\n", "L12_degree_of_ordering = as_property('degree_of_ordering(FCC_L12#1)')\n", "L12_degree_of_ordering.display_name = '$\\gamma^\\prime$ (ordered fcc)'\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "ax.plot(wks3.get(v.T), wks3.get(dis_degree_of_ordering),\n", " label=dis_degree_of_ordering.display_name)\n", "ax.plot(wks3.get(v.T), wks3.get(L12_degree_of_ordering),\n", " label=L12_degree_of_ordering.display_name)\n", "ax.set_xlabel(f'{v.T.display_name} [{v.T.display_units}]')\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3.10.6 64-bit", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" }, "pycharm": { "stem_cell": { "cell_type": "raw", "metadata": { "collapsed": false }, "source": [] } }, "vscode": { "interpreter": { "hash": "dffc026621927c134bf51c98cc1a2a1db0bb9758f5626f77d77eb66ad657b830" } } }, "nbformat": 4, "nbformat_minor": 4 }