{
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    "This notebook shows a possible way to combine formal prediction of mutation performed by Pint with the quantiative evaluation of attractors reachability with MaBoSS.\n",
    "\n",
    "A detailed use case of such an analysis can be found in the notebook \"[Usecase - Mutations enabling tumour invasion](https://nbviewer.jupyter.org/github/colomoto/colomoto-docker/blob/master/usecases/Usecase%20-%20Mutations%20enabling%20tumour%20invasion.ipynb)\".\n",
    "\n",
    "## Model\n",
    "\n",
    "We load a model of cell fate decision model from CellCollective using bioLQM:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
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       "        cell.set_text('lqm = '+biolqm_jsapi.module_alias+'.upload()');\n",
       "        cell.focus_editor();\n",
       "    } };\n",
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       "     }</script><style type=\"text/css\">\n",
       "    #biolqm_menu {\n",
       "        color: #00007f;\n",
       "        background-color: white;\n",
       "    }\n",
       "    \n",
       "    div#biolqm-toolbar:before {\n",
       "        content: \"bioLQM\";\n",
       "        float: left;\n",
       "        margin-left: 1em;\n",
       "        margin-right: 1em;\n",
       "        margin-top: 0.2em;\n",
       "    }\n",
       "    div#biolqm-toolbar,\n",
       "    div#biolqm-toolbar button {\n",
       "        color: #00007f;\n",
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       "    #ginsim_menu {\n",
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       "    \n",
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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import biolqm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "Downloading 'http://ginsim.org/sites/default/files/SuppMat_Model_Master_Model.zginml'"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lqm = biolqm.load(\"http://ginsim.org/sites/default/files/SuppMat_Model_Master_Model.zginml\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wild-type simulation with MaBoSS\n",
    "\n",
    "We convert the model to MaBoSS, and configure the simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script type=\"text/javascript\" id=\"colomoto-setup-591457\" class=\"to-be-removed\">\n",
       "        if (typeof Jupyter != 'undefined') {\n",
       "            \n",
       "    var mymodule_jsapi = {  };\n",
       "    colomoto_extension(Jupyter, \"colomoto-setup-591457\", \"mymodule\", {\"name\": \"MaBoSS\", \"sub-menu\": [{\"name\": \"Load MaBoSS file\", \"snippet\": [\"masim = maboss.load(\\\"filename.bnd\\\", \\\"filename.cfg\\\")\"]}, {\"name\": \"Network\", \"sub-menu\": [{\"name\": \"Set istate\", \"snippet\": [\"maboss.wg_set_istate(masim)\"]}, {\"name\": \"Get initial state\", \"snippet\": [\"masim.get_initial_state()\"]}]}, {\"name\": \"Simulation\", \"sub-menu\": [{\"name\": \"Create mutant\", \"snippet\": [\"maboss.wg_make_mutant(masim)\"]}, {\"name\": \"Run\", \"snippet\": [\"simres = masim.run()\"]}, {\"name\": \"Set initial states\", \"snippet\": [\"masim.network.set_istate([\\\"mygenelist\\\"],{})\"]}, {\"name\": \"Set output\", \"snippet\": [\"maboss.wg_set_output(masim)\"]}]}, {\"name\": \"Results\", \"sub-menu\": [{\"name\": \"Save results\", \"snippet\": [\"simres.save(\\\"filename\\\")\"]}, {\"name\": \"Plot piechart\", \"snippet\": [\"simres.plot_piechart()\"]}, {\"name\": \"Plot trajectory\", \"snippet\": [\"simres.plot_trajectory()\"]}]}, \"---\", {\"name\": \"Documentation\", \"external-link\": \"http://pymaboss.readthedocs.io\"}]}, null, mymodule_jsapi);\n",
       "     }</script><style type=\"text/css\">\n",
       "    #mymodule_menu {\n",
       "        color: green;\n",
       "        background-color: white;\n",
       "    }\n",
       "    </style>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import maboss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "wt_sim = biolqm.to_maboss(lqm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "wt_sim.network.set_output(('Metastasis', 'Migration', 'Invasion', 'Apoptosis', 'CellCycleArrest'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "wt_sim.network.set_istate(\"ECMicroenv\", [0, 1]) # ECM is active\n",
    "wt_sim.network.set_istate(\"DNAdamage\", [0.5, 0.5]) # DNAdamage can start either active or inactive"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "wt_sim.update_parameters(max_time=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We perform the simulation with MaBoSS, this can take several seconds."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "wt_res = wt_sim.run()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot the distribution of attractors at the end of the simulations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wt_res.plot_piechart()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mutation prediction with Pint\n",
    "\n",
    "Now, we use Pint to predict mutations which remove any possible activation of apoptosis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import pypint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "m = biolqm.to_pint(lqm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "m.initial_state[\"ECMicroenv\"] = 1\n",
    "m.initial_state[\"DNAdamage\"] = {0,1}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "This computation is an *under-approximation*: returned mutations are all valid, but they may be non-minimal, and some solutions may be missed."
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "Limiting solutions to mutations of at most 5 automata. Use `maxsize` argument to change."
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[{'ZEB2': 1},\n",
       " {'AKT1': 1},\n",
       " {'AKT2': 1},\n",
       " {'ERK': 1},\n",
       " {'SNAI2': 1, 'ZEB1': 1, 'NICD': 1},\n",
       " {'SNAI2': 1, 'ZEB1': 1, 'p63': 0},\n",
       " {'SNAI2': 1, 'ZEB1': 1, 'miR203': 1},\n",
       " {'SNAI2': 1, 'NICD': 1, 'p73': 0},\n",
       " {'SNAI2': 1, 'p63': 0, 'p73': 0},\n",
       " {'SNAI2': 1, 'p73': 0, 'miR203': 1},\n",
       " {'ZEB1': 1, 'NICD': 1, 'p53': 0},\n",
       " {'ZEB1': 1, 'p63': 0, 'p53': 0},\n",
       " {'ZEB1': 1, 'p53': 0, 'miR203': 1},\n",
       " {'NICD': 1, 'p53': 0, 'p73': 0},\n",
       " {'p63': 0, 'p53': 0, 'p73': 0},\n",
       " {'p53': 0, 'p73': 0, 'miR203': 1}]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mutants = m.oneshot_mutations_for_cut(\"Apoptosis=1\", exclude={\"ECMicroenv\", \"DNAdamage\"})\n",
    "mutants"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each returned solution gives a combination of mutations which are guaranteed to remove the capability to activate apoptosis, even transiently."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Collecting experiments\n",
    "\n",
    "Among the results returned by Pint, we want to try any potential double-mutant that may be sufficient to remove the reachability of a *stable* apoptosis.\n",
    "\n",
    "We use Python standard library functions to compute all the couple of mutations in each predicted mutations, and then merge these couples in a single set of candidate double-mutants."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from itertools import combinations\n",
    "from functools import reduce"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{(('NICD', 1), ('p53', 0)),\n",
       " (('NICD', 1), ('p73', 0)),\n",
       " (('SNAI2', 1), ('NICD', 1)),\n",
       " (('SNAI2', 1), ('ZEB1', 1)),\n",
       " (('SNAI2', 1), ('miR203', 1)),\n",
       " (('SNAI2', 1), ('p63', 0)),\n",
       " (('SNAI2', 1), ('p73', 0)),\n",
       " (('ZEB1', 1), ('NICD', 1)),\n",
       " (('ZEB1', 1), ('miR203', 1)),\n",
       " (('ZEB1', 1), ('p53', 0)),\n",
       " (('ZEB1', 1), ('p63', 0)),\n",
       " (('p53', 0), ('miR203', 1)),\n",
       " (('p53', 0), ('p73', 0)),\n",
       " (('p63', 0), ('p53', 0)),\n",
       " (('p63', 0), ('p73', 0)),\n",
       " (('p73', 0), ('miR203', 1))}"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mutant_combinations = [combinations(m.items(), 2) for m in mutants if len(m) >= 2]\n",
    "candidates = reduce(set.union, mutant_combinations, set())\n",
    "candidates"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Double-mutant experiments with MaBoSS\n",
    "\n",
    "For each candidate double-mutant, we copy the MaBoSS wild-type model, apply the corresponding mutation and run the simulations. As there are 16 candidates to evaluate, the overall execution can take several minutes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt # for customizing the plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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F0aYAmCo7BrVM7Yla1BysgX8//3q3l24pRdCAxs/NenTVUfSY1KPe5en9evnBJ8wH+5/aD+0lWtQeqwUA+Mf4N7oOia4wpBkmyA5BRNRRsJi1n4Wo96eZ3I2lxoJDrx1Cjyk94OX/+1yy4+uPA16AdtjZxx6U7yqHd7D3mRE3Zz2n9kT/Z/sjfGy4bbTsxm44vv44Dr1+CCXflLTpa7lALxjSDJyPSkTUDljM2oOivRLAKNkx6OKpZhWFrxUiZFgItIN/L2Cl20pRsbsCUbOiIMTZvbtqbxXKd5Yjb3YeDr9xGJU5lSh8s7DeMuW/lsO/jz+sJitMRSZE/yUaZd+XwWqytvnraqY+ACbJDkFE1BHwv+D2wXNCuTFVVVH0ThF8e/oifEz4mdsr9lTg5Gcn0WduH2h8G/8fp8fEHugx0XbEZWVOJU5tPIWoWVG/r9us4tSmU4h5KAamY6bfx1RV233wbWSlcvwNwErZIYiIPB1HzNqaok0AcL3sGHTxqvZWoez7MlTmVGLf3/dh39/3oWJ3BY6uOApLjQUFCwuw7+/7ULTMdsqvutI6FLxU0Kx1n/rqFEIuD4HGVwO/KD9ABfbO24uA2IAmT70hSbIhzXCN7BBERJ6OJ5hta4r2vwBulx3D0/EEs+3ii4wZGX+QHYKIyJNxxKwtKdqeAG6VHYOolVxrSDMkyw5BROTJWMza1oMAOskOQdSKHpUdgIjIk7GYtRVFGwjgHtkxiFrZJEOaIVJ2CCIiT8Vi1nYmAwiRHYKolfkA+IvsEEREnorFrO1wwj95qqmGNANPlkxE1AZYzNqCoo0HMEx2DKI2EgVguOwQRESeiMWsbcyQHYCojfG6r0REbYDFrLUpWgHgFtkxiNrYBEOagUccExG1Mhaz1nc5gBjZIYjaWBiAMbJDEBF5Ghaz1jdFdgCidsLdmURErYzFrPX9SXYAonYyzpBmCJIdgojIk7CYtSZFOwBAL9kxiNqJP4AbZIcgIvIkLGata6zsAETt7FrZAYiIPAmLWeviZGjqaK6SHYCIyJOwmLUWRRsE2xGZRB1JlCHNECs7BBGRp2Axaz2jYbuOIFFHM0p2ACIiT8Fi1nq4G5M6KhYzIqJWwmLWekbKDkAkyUhe1JyIqHWwmLUGRRsMQCc7BpEk3QAkyQ5BROQJWMxaRyoAjhhQR8bdmURErYDFrHWkyg5AJNlQ2QGIiDwBi1nrGCw7AJFkA2QHICLyBCxmrYPFjDo6nSHN4Cs7BBGRu2MxaylFGwKgn+wYRJJ5A0iUHYKIyN15yw7gAQbKDkAkg1DVkmCr9XB0ndloMNWql1dX9wewU3YuIiJ3xmLWchwtI48mVPWE1mot6l1nLh9gMiGlxhScbDJFhFusXQGEOS26FcD7kmISEXkEFrOW6y07AFFr0Kjq8RCr9XCf2rrKZFOtSKmp0RpMtRFhVmtXAF2bsYq4ts5IROTpWMxarrfsAEQXQqOqxaEW65F+dXUVySaTJqXGFGIw1UZprdZusJ0s9mKxmBERtRCLWcvFyA5AdBZVVb2AI2EWy9F+dXWnB9bUalJrasL0ptqoIFXtAaBHGzwrfxaIiFqIxazlessOQB2YqqrewOEuFktx/9q6qoEmk3dqjSk00VQb3VlVIwBEtGOaYChaPyjGmnZ8TiIij8Ji1hKK1gdAL9kxqANQVas3UNjVYjkWW1tXPajG5D2oxtQlsbY22l9VowBEyY5o1w3AIdkhiIjcFYtZy0QC8JIdgjyIqlp8gEPdzJZjutpa0yCTySelxhQeX1sb7asiBq6/u5DFjIioBVjMWqa77ADkplS1rpOKQ90t5hNxtXU1KTUm30E1pnBdbW1MJ6APbG/uiD8TREQtwGLWMlrZAcjFqWqtr6oe7GGxnIw31dam1Jg6DTKZuvWvrYv2sZ0Dz9POg9eSozqJiDo8FrOWYTEjG1U1+alqQU+z5VRCbW1dSo3Jb1CNqVvfuroobyAWtreOgMWMiKgFWMxahsWso1HVan9VPdjLbD6lN9WaU2pM/gNNpu6968yRXjyPFwCEyw5AROTOWMxaJkB2AGojqno6QFUPRpjNpUmm2rqUGlPngTWmHtFmc4QGiJcdz4X5yA5AROTOWMxaxl92AGohVS0PVNXCyDpzqd5UaxlcU9M52VTbM9Js7iWARNnx3BCPUiYiagEWs5ZhMXMXqmoMsqqHos11ZUmmWmtKjSlwoMnUq5fZ0hOAXnY8D8JiRkTUAixmLdNJdgCqT6hqaZDVeiimzlxuMNWqqTU1QQNMtb16WCzdARhk5+sANLIDEBG5MxazlqmVHYBs3jh24mBcbW2vrhZrOIBQ2Xk6MI6YERG1AItZy5hkByCbK6prBsjOQABYzIiIWoS7HVqGF2smqo/FjIioBVjMWoYjZkT18WeCiKgFWMxahiNmRPWVyg5AROTOWMxahqMDRPWxmBERtQCLWctwxIyovjLZAYiI3BmLWcuUyA5A5GI4YkZE1AIsZi1TJDsAkYthMSMiagEWs5ZhMSOqj7syiYhagMWsJRRjJYBy2TGIXMgp2QGIiNwZi1nLcdSMyMYKoFB2CCIid8Zi1nIsZkQ2R6AYef1YIqIWYDFruSOyAxC5iN9kByAicncsZi13UHYAIhexX3YAIiJ3x2LWchmyAxC5iFzZAYiI3B2LWcvtlh2AyEXkyQ5AROTuWMxabh+AKtkhiFwAR8yIiFqIxaylFKMV3J1JVAlgr+wQRETujsWsdXB3JnV0v0AxWmSHICJydyxmrYPFjDq6H2QHICLyBCxmrWOX7ABEkrGYERG1Ahaz1vErAJPsEEQS/Sg7ABGRJ2Axaw2KsQb8w0Qd1z4oxpOyQxAReQIWs9bzjewARJLwnxIiolbCYtZ6vpYdgEiSLbIDEBF5Chaz1vMDgArZIYjamQpgg+wQRESegsWstSjGOgCbZccgamfboRiPyg5BROQpWMxa1/9kByBqZ5/IDkBE5ElYzFrXJ7Dt2iHqKNbLDkBE5ElYzFqTYiwE8J3sGETt5BAUI696QUTUiljMWt+7sgMQtRPuxiQiamUsZq3vfQBm2SGI2sHHsgMQEXkaoaqcEtXqFO1GAH+QHYOoDR0E0AeK0aV/gezYsaObt7f3fwAkgf+IEpF8VgCZZrP5ztTU1OONLeDdzoE6itVgMSPPttTVSxkAeHt7/6dHjx4JXbt2LdVoNC6fl4g8m9VqFSdOnEgsLi7+D4AbGluG/0G2jY/Ai5qT57ICWCo7RDMlde3atZyljIhcgUajUbt27WqEbRS/8WXaMU/HoRiNAD6UHYOojXwJxXhIdohm0rCUEZErsf9OarJ/sZi1nVdkByBqI/+VHcCdCCFS//znP/dxfF5XV4fQ0NDkq666qj8ArFy5UvvEE0/0aK3nmzt3br11DRo0KL611t0cGzZsCBJCpP773/8Od9z23Xff+QshUp988snu53rs8uXLQ3bs2OF3Mc/7/fff+69Zs0Z7MY8F2mY7LVq0qMv06dOjW3u9jRkxYkT/kydPerXHczns2bPHd8SIEf2jo6OT+vbtq7/uuuv6FhYWNjlFKi8vr1NsbKwesH2fOH4GAOC9994LTkpKSujbt6++T58++rvvvjvyQvM4r/98nn766W6+vr4pp06darNttmjRoi4FBQU+F/o4zjFrK4rxJyjanwAMkR2FqBWdhDsfjaloU1t3fcYd51vE39/fmpeX519ZWSkCAwPVjz76KLh79+51jvunTp1qBGBs7lOazWZ4ezf9q3vRokU9n3vuuWLH5zt37sxt7rpbS2xsbPXatWtDH3744ZMAsGLFirC4uLjq8z3u448/DjGbzcbU1NSaC33O7du3B2zfvr3zpEmTmr0tncnYTq3p22+/3deez1dVVSXGjRsXu2DBgsIpU6YYAeCTTz4JKi4u9o6KirqgMxP88ssvfrNnz45ev379vkGDBtXU1dXhxRdf7No2yW3Wrl3bJSkp6fTKlStDHnzwwVMN76+rq4OPz++d6nw/d41ZsWJF+MCBA6t79+5dd/6lf8cRs7bFUTPyNGlQjLWyQ7ib0aNHG99///0QAHj33XfDxo8fX+K4z3lUJSsryzc5OTk+KSkp4aGHHuoVEBAwCLCNLgwZMkQ3bty4PnFxcXoAuPrqq/vp9fqE/v376//1r3+FA8B9990XYTKZNPHx8Yk33HBDHwBwrMNqtWLWrFmRsbGxep1Ol/j222+HOtZ96aWXxo0ZM6Zvnz599DfccEMfq9XaotcbERFRazKZNIWFhd5WqxVff/21dvTo0WcKU1ZWlu/w4cNj9Xp9QmpqatzOnTv9Nm3a1PnLL78MmTdvXmR8fHxiVlaW74svvhielJSUEBcXl/iHP/yhX0VFhQYA3nnnndDY2Fh9XFxc4uDBg+NqamrEggULen3yySeh8fHxiW+//Xbo5s2bAwYNGhSfkJCQOGjQoPjdu3f7AsD27dv9DAZDQnx8fKJOp0vMyMjwdd5OBw8e9Bk8eHBcfHx8YmxsrH7jxo2BLdoYduPHj+89c+bMqEGDBsVHRkYali5dGgoA119/fV/nkb7x48f3XrZsWUheXl6n1NTUuMTExITExMSETZs2dT5XvoiICMPRo0e9AUBRlO6xsbH62NhY/TPPPNMNsI0m9e3bVz958uSY/v376y+//PLYyspKcbGv56233gpLSUmpdJQyABg3blzFJZdcUmM2mzFr1qzIpKSkBJ1Ol7hw4cLwc63rn//8Z4/Zs2cfHTRoUA0A+Pj4YO7cuSdKS0s1ERERBpPJJACgpKTkzOeZmZm+l112mS4uLi4xMTExISsry9d5nefKkJWV5VtVVaV55plnit57770wx+2LFi3qMnbs2L6jRo3qP3z4cF1jP3eLFy8Oc3z/TJkyJcZsNsNsNmP8+PG9HT9bTz/9dLelS5eGZmZmBkyfPr1vfHx84oVsaxaztrUWwBHZIYhaSR2Al2WHcEfTpk0rWbNmTWhVVZXIyckJGDZs2OnGlrv//vuj7rvvvuOZmZk5vXr1qvdf9p49ezovXLiwaP/+/VkAsHLlyoKsrKycXbt2Zb/55pvdi4uLvRYvXlzk6+trzc3NzV6/fv1vzo9PT08PycjI8M/Jycn66quv8p988snIgwcP+gBATk6O/+uvv164b9++rEOHDvlu2rSpxWXkz3/+c+ny5ctDv/zyy84Gg6HK19f3zFy/O++8M2bx4sWHsrKychYuXHj43nvvjb7mmmtOX3311WXz588/nJubm63X601Tp04tzczMzMnLy8uOi4urXrRoUTgAPPfccz2/+OKL/Ly8vOyNGzfu8/PzUx9//PEj48aNK83Nzc2+6667SpOTk2t+/vnn3JycnOynnnqqaM6cOZEA8Oqrr3a97777juXm5mbv2bMnp0+fPvX+0XjnnXfCRo8ebczNzc3OycnJGjJkSFVLt4XDsWPHfLZv3567bt26vU899VQEAEyaNKlkzZo1oQBQU1Mjvvvuu+AJEyYYe/XqZd66dWt+dnZ2zpo1aw48/PDD0c3Jt3Xr1oBVq1Z12bFjR8727dtz0tPTu3733Xf+AHDo0CG/Bx988Pi+ffuytFqtJT09PfRiX0tmZqZ/SkpKo9vm5ZdfDtdqtZbMzMyc3bt356SlpXXNzc3t1NS68vLy/BvbzqGhodZhw4ZVvPfee1rHa7/uuutKfX191SlTpvS55557jufl5WVv3749Nzo6ut7Py7kypKWlhd10000lY8aMqfztt9/8ioqKzgyF/frrr4Hvvvvubz/++GM+UP/n7tdff/Vbu3Zt2Pbt23Nzc3OzNRqNumTJki4//PBDwNGjR3327t2blZ+fn/2Xv/zl1G233VaalJRUlZ6efiA3Nzc7MDCw2XNduSuzLSnGOijaxQDmy47iLO+kBZPW/r5X4UCpFc9c5YsfDluQd9L2n3JZjYoQP4Fd95z9+7msRsWd66uRedwKIYB3bvDDsChvPLapBp/vM2NgDy+k3+gPAFi+uxYl1Sr+OtT3rPWQ23kXivGw7BDuaMiQIdWHDx/2ffvtt8OuvvrqJne17dy5M/CLL77YBwB33nnnKUVRzsyzGTBgwOn4+PgzJeL555/v/umnn4YAQHElauH7AAAbS0lEQVRxsU9WVpZfjx49Gi18ALB169agm2++ucTb2xtRUVHmIUOGVG7bti1Aq9VaDQbD6X79+tUBgF6vr9q/f3+Tf0Sba/r06SXjx4/vl5ub6z9lypSSbdu2BQKA0WjU7Ny5M3DixIn9HMvW1tY2OpqwY8cO/yeffDKioqLC6/Tp014jRowwAsDgwYMrp06d2nv8+PGlU6dOLW3ssSUlJV6TJk3qU1BQ4CeEUOvq6gQADBs27PS//vWvnocPH+40efLkUoPBUO8I+qFDh56eNWtW77q6Os2ECRNKL7vssvPugm2uG264oczLywupqak1p06d8gGACRMmGOfMmRNdXV0tPvjgA+2ll15aERgYqJ46dUpzxx13xGRnZ/trNBocPHjQtzn5vvnmm8DrrruuLDg42AoA119/fenmzZuDJk6cWBYREWFyLD9o0KCqgoKCNvnF/OWXXwbn5uYGrF+/PhQAKioqvLKzs/30ev0F76K+++67Tzz//PM9pk2bVrZixYrwt99+u6C0tFRz7NixTtOnTy8DgICAABUNrlPdVIb4+Pjajz76KOzDDz/c5+XlhbFjx5amp6eHPv744ycAYPjw4eXdu3e3ONbj/HO3cePGoMzMzIDk5OQEAKipqdF069bNPGnSpLLCwkLfGTNmRI0bN8544403ll/kpgPAEbP28CaAC/5mbEtx4V7YdU8gdt0TiB13d0aAj8CN8T5YMyHgzO3jE3xwU0Ljcxb/urEGY/p7I/f+QOy+pzMSunrBWKPi+8MW7Lk3EBZVRcYxC6rrVCzbXYf7Lmnx73iSTwXwguwQ7mzMmDFlTz31VNT06dNLzr/02QICAs7sX9ywYUPQt99+G7R9+/bcvLy87ISEhOrq6upz/j4/18nEnUezvLy8YDab6xWlffv2+cTHxyfGx8cnvvDCC10XLFjQ1fF5U5Obo6OjzT4+PuqWLVuCb7jhhjN/qCwWC4KCgsy5ubnZjrcDBw5kNbaOu+++u89rr712KD8/P/uxxx47YjKZNACwatWqQ/Pnzz9SWFjYaeDAgfri4uKzJnA/9thjESNGjKjYu3dv1ieffLKvtrZWAwD33HNPybp16/b5+/tbx44dq1u/fn2Q8+PGjh1buWXLlryIiIjamTNn9nnttde6ON//9ddfd3a89pUrV2ofeOCBCMfnTW5gOz8/vzPb2fH1CAgIUIcOHVrx4YcfBq9ZsyZ08uTJJQDwj3/8o3u3bt3qcnJysjMyMrLr6uo0zcl3rq9zp06dnL/OasOvs9lshuO1PPTQQ73S09NDHJ9v2bIlwHlZvV5f8+uvv9a7zSmDePHFFw85vr5FRUUZN910U5NlRafT1fz000+Nruvaa689ffjwYd9PP/000GKxiEsuuaSmOSfGbyrDTz/95H/w4EHfMWPG6CIiIgzr168PW7t27Zndmc4/Zw0/V1VVTJw48ZRjnQUFBZkvvfTSka5du1oyMzOzr7rqqorFixd3mzx5cu/zBjwHFrO2phhPAnhLdoymfPWbBf3CNIgJ+f1bQVVVvJddh1uSzh5QLTep2HLQjDsG2X4Xd/ISCPET0Aig1qJCVVVU1wE+XsDC72vx4KWd4ON10dMYyHWsg2Js9I8nNc+99957cvbs2UcuvfTSJkdgBg4cWLls2bJQwLbbpqnlysrKvLRarSUoKMi6c+dOv927d3d23Oft7a065uQ4GzFiRMXatWvDzGYzjhw54v3zzz8HDh8+vMkRNmf9+/evc/wxmjNnzonHH3/8hOPzc01sfvrpp4ueffbZw86TpsPCwqyRkZG177zzTihgm/v2ww8/+ANAYGCgpby8/Mwvo6qqKk10dHSdyWQSq1evPrM9srKyfEeNGnX65ZdfPhIaGmo+cOBAp+DgYEtlZeWZx5aXl3tFRkbWAsCbb755Zn5RdnZ2p4SEBNO8efOOX3vttWW7du3yd86cn5/fKSIiom727Nknb7311pMNy8eoUaNOO1771KlTja+++mqR4/PmbMvGTJ48uWTZsmXhv/zyS5CjwBiNRq+ePXvWeXl5YfHixV0sFktz81V+9tlnIRUVFZry8nLNZ599FnrVVVdVNCeHt7c3HK/l5ZdfPjJ9+vQyx+dXXnllvV2Nd91116kdO3YErl69+sz8uLVr1wb//PPP/tdcc43xjTfe6Or4PtyzZ4+v89e1occff7z4pZde6rlnzx5fwFbeFUU5cwTv5MmTT9122219b7311pOA7XuoR48etcuXLw8BgOrqauGYf+jQVIb09PSw2bNnHykqKsooKirKOH78+J7i4uJO+fn55x1BGDNmTPmGDRtCHbs+jx075pWfn9/p6NGj3haLBTNnziybP39+UUZGRgBg+342Go0XfNQni1n7+AeAStkhGrM6sw63JNX/h3frIQu6dxaI7XL299OBUiu6Bgjctq4Gg96sxJ3rq3G6VkWQr8D4BB8MevM0+oRooPUV+OWIBX+Kv+Ajhck1PSM7gLvr169f3d///vdGL8Hi8Oqrrxa++uqr3Q0GQ8LRo0d9AgMDLY0tN378eKPZbBY6nS7xiSee6JWcnHymYE2dOvVEQkLCmcn/DtOmTSvT6/XVCQkJ+pEjR+qefvrpw9HR0W16Xd9rrrnm9LRp08oa3v7uu+8eWLp0aXhcXFxibGys/oMPPgixZy9ZtGhRj4SEhMSsrCzfuXPnHrn00ksThg8frouNjT2z5+Hhhx+O1Ol0ibGxsfqhQ4dWDB06tHrs2LEV+fn5/o7J/4899lixoiiRKSkp8Y5SAwDLly8P0+l0+vj4+MS9e/f6zZo1q94Ref/73/+CEhMT9QkJCYnr1q0LnTNnzrE23EQAgBtvvLH8l19+CbriiivKHaNqDz300PF33323S3Jycnx+fr6fv7+/tTn5rrjiiqopU6acSklJSUhNTU2YNm3aicsvv7zVdsc6BAYGquvWrdv3+uuvd4uJiUnq16+fftmyZeE9e/ase/jhh0/Gx8fXGAyGhNjYWP1dd90V49iV3JghQ4ZUP//884W33HJL3759++p1Op3+6NGjZ/543HHHHafKy8u977jjjjOjzStWrPjt9ddf76bT6RIHDx4c3/A0HU1l+Pjjj8Nuvvnmet+TY8eOLU1LS2vyHyGH1NTUmnnz5hWNHj1ap9PpEkeNGqUrLCz0KSgo8Lniiivi4uPjE2+//fY+zzzzzGEAmD59+skHHngg5kIn//Name1F0T4LYJ7sGM5qLSp6vViJrPs6o3vg7x393g3V6B+mwezLzp5+sP2IBUP/cxrf3R6AIZHe+OvnNQj2BZ4dVf/UQ3eur8ZfLumEHUct+GK/GQO6e2HelZxn5qY+gWJs9NIhrm737t0FycnJJ2XnaK6KigpN586drRqNBm+99VbomjVrwr766qv9snMRybR06dLQdevWhXz88ce/nX9p97B79+7w5OTk3o3dx8n/7WchgHsBdDnfgu3l871mpPTU1CtlZquKD3PN2HF350YfExksEBksMCTS9q0zIdEbz31X/+wJO4/a/jvVddHgrxtrsOW2zpi8tgp7T1kaHYUjl2YF8KTsEB3Fd999F/DXv/41WlVVBAcHW5YtW1YgOxORTDNmzIjavHmzdsOGDXtlZ2kvLGbtRTGWQ9E+B1tBcwnvNrIb88sDFsSHaxAZ3Phe7h6BGkRpNcg7aUFcuBe++s2MxPD6y/59swlvjfNDnRWw2AdkNQKouqBT7JGLeAeKcZfsEB3FmDFjKvPy8i56rhKRp0lLSysEUCg7R3viHLP29RqAItkhAKCqTsWmA5azjrxsbM7ZkQorrlv5+7zPV8f6YeqH1RjwRiV2FVvxxPDfd1F+nFuHS3p5oVeQBiF+AsMivWB4oxJCAMk9OFrmZsoB/J/sEEREHQnnmLU3RXsngLdlxyBqhr9BMf5LdoiWcLc5ZkTUMZxrjhlHzNrfOwB+kR2C6Dz2gpcUIyJqdyxm7U0xWgHcA9ukaiJXNRuKkbMCiYjaGYuZDIrxVwCLZccgasL/oBg/kR3Ck6Snp4cIIVJ37tzpd/6lL9yiRYu6NHUG/vN54YUXujY8e3xrMBqNmilTpsRERUUl9e/fXz948OC4r7/+uvHDve2cL8TtuKg4YDs56IgRI/pHR0cn9e3bV3/dddf1bXjequZwXv+5fPfdd/5CiNQPPvgg+EKfo7k2bNgQ5LgwOZEzHpUpzxMA/gQgSnYQIiflAGbJDtFWDGmG1NZcX8aMjB3NWW716tVhKSkplcuXLw8bNGjQkdbMAAArVqwIHzhwYPW5zsLflDlz5pxo7TwAMHXq1N4xMTGmgoKCTC8vL2RnZ3fas2eP//kfWV9VVZUYN25c7IIFCwqnTJliBIBPPvkkqLi42DsqKqpNTpC7fPnyLikpKZWrVq0KGz9+/FmXErJarVBVFV5evx/QZDab4XyFg/P5+uuvgwIDAy3XXHNNs66+QB0HR8xkUYwVsO3SJHIlj0AxHpQdwpMYjUbN9u3bA5cuXVrw0UcfhTpu37BhQ9DgwYPjrrnmmn79+vXTT5kyJdpxhvo333wzzHFm+3vvvTfC8ZiAgIBBd911V2RiYmLCsGHDdEeOHPFeunRpaGZmZsD06dP7Os4wvm7duqCEhIREnU6XOHHixN7V1dUCAO67776Ifv366XU6XeLdd98dCQCPPPJIryeffLI7AMyfP7+b4/4//vGPfS/2NWdlZfnu3Lmz8yuvvFLkKC+JiYm1kydPNgLA4sWLwwwGQ0J8fHzilClTYszmpvvVW2+9FZaSklLpKGUAMG7cuIpLLrmkJjU1Ne77778/U/ZSUlLif/rpJ3+j0aiZMGFCb51Ol6jT6RKXLVsW0nC9TWWwWq3YsGFDaHp6esHWrVuDq6qqBADk5eV16tu3r/7WW2+N1uv1ifv37+8UEBAw6KGHHuo1YMCA+K+++ipw69atAZdcckmcXq9PuOKKK2IPHjzo09h2zcvL65Sent51yZIl3ePj4xM3btwYeLHbmjwPi5lMivEzAKtkxyCy2wDF+F/ZITzNypUrQ0aOHGkcMGCAKSQkxLJt27Yz1zbMyMjo/MorrxTm5eVlFRQU+Kanp4cWFBT4KIoS8c033+RnZ2dn7dy5s7PTNQE1KSkpVdnZ2TmXX355xdy5c3vddtttpUlJSVXp6ekHcnNzszUaDWbNmtVnzZo1+/Pz87PNZjMWLlzY9dixY16fffZZ6N69e7Py8/Oz//nPfx5tmHXRokU9MjMzs/Pz87OXLVt20QV9165dfomJiVWNjSD9+uuvfmvXrg3bvn17rj2vumTJkiZ3pWZmZvqnpKRUNXbfzJkzT/7nP/8JB2y7O2tra8WQIUOq586d2zM4ONiSn5+fnZ+fn3399dfXu1bkuTJs2rQpMCoqyqTX601DhgypeP/9989cC7KgoMDvtttuO5WTk5Ot0+lqq6urNUlJSdV79uzJHTly5OkHH3wwet26dfuzsrJyZsyYcfLRRx+NAM7ernFxcbXTp08/cc899xzLzc3NHjNmjEteso/kYDGT734Ah2SHoA6vBMBdskN4ovfeey/slltuKQWA8ePHlyxfvvzMNfkMBsPpxMTEWm9vb9x8880lW7duDdy2bVvnoUOHVvTq1cvs4+ODSZMmlXz77beBAKDRaHDnnXeWAMDtt99+6ueffz5rpGX37t1+kZGRpgEDBpgAYObMmae2bdsWFBYWZvH19bVOnjw5Ji0tLSQwMPCsA5Di4uKqb7zxxj6LFy8O8/HxaZNzKW3cuDEoMzMzIDk5OSE+Pj5x27ZtwQcOHLio67XNnDmz9Msvv9SaTCaxZMmS8ClTppwEgC1btgQ//PDDZ65L2rVr13rXHD1XhhUrVoRNmDChBLBdXNz54uk9e/asHT169Jldj15eXpg5c2YpYCuGe/fu9R81apQuPj4+ceHChT2PHDniA7TPdiXPwTlmsinGUijaWwB8C349SJ77oBiLZYfwNMXFxV4//vhjcH5+vv/9998Pi8UihBDqG2+8cRgAhKh/XWMhBC7k3JINHw+gycf7+Phg165dOevXrw9evXp16BtvvNHtxx9/zHdeZvPmzXs///zzoI8//jjkhRde6LV3795MH5/fjymYMGFC78zMzIDu3bvX/ve//z34xz/+MRYAbr/99hPOc9UGDhxYk5OTE2CxWOrNw7LnExMnTjz1+uuvN+tk23q9vmbLli2N7uoLCgqyDh8+vHzVqlUh69evD9uxY0e2Yxs0tm3Ol8FsNuPzzz8P3bRpU8hLL73UU1VVlJWVeZeWlmoAICAgoF6Z7dSpk9UxKqiqqujfv3/1rl27chs+X2PbtTmvnTomjpi5AsX4PYC/y45BHdZ7UIxrZIfwRMuXLw+96aabTh05ciSjqKgoo7i4eE9kZGTtF198EQjYdmXm5uZ2slgsWLt2bdjw4cMrrrzyytM//fRT0NGjR73NZjPef//9sJEjR1YCtvlPS5cuDQWAZcuWdbn00ksrACAwMNBiNBq9AFspKioq6pSZmekLAOnp6V2GDx9eYTQaNSUlJV6TJk0yLlmypDAnJyfAOavFYsH+/fs7jRs3rmLx4sWHKyoqvBzrdFi7dm1Bbm5u9rfffruvf//+dbm5udm5ubnZDQ8g0Ov1pgEDBpx+5JFHelmtti6TkZHhu2LFipAxY8aUb9iwIbSoqMgbAI4dO+aVn5/fqalteNddd53asWNH4OrVq8/sUly7dm3wzz//7A8A99xzz8nHHnssKjk5+XT37t0tADBy5Mjyl156qZtj+RMnTtR7HU1lWLduXXB8fHxVcXHxnqKioowjR45kjBkzpnTVqlVnzVFraMCAATUlJSXeX375ZWcAMJlMYvv27X5NbdegoCBLRUUFL4dCZ2Excx3PA/if7BDU4eQDuFt2CE/1/vvvd7nppptKnW/705/+VOrYnTlw4MDK2bNnR+p0On10dLRp2rRpZTExMXVPPvlk0YgRI3QJCQn6AQMGVN16661lAODv72/Nysry1+v1CVu2bAlasGDBUQCYPn36yQceeCAmPj4+0Wq1YsmSJQUTJ07sp9PpEjUaDR599NETZWVlXmPGjInV6XSJw4cPj5s/f3696w+azWYxZcqUPjqdLjEpKSlx1qxZx8LDw+vtArwQK1asKDh27JhPTExMkk6nS7zjjjt6R0VF1aamptbMmzevaPTo0TqdTpc4atQoXWFhYZOn+ggMDFTXrVu37/XXX+8WExOT1K9fP/2yZcvCe/bsWQcAw4cPr+rcubPltttuO3OFhwULFhwtKyvzio2N1cfFxSV+9tlnQc7rbCrDqlWrwm644YYy52XHjx9fumbNmvOeTsTPz09dvXr1/rlz50bGxcUl6vX6xG+//Tawqe06fvz4sk8//TSEk/+pIV6SyZUo2q4AdgPoKTsKdQgVAIZAMebIDtJWXPmSTBs2bAh68cUXu2/evHlfcx8TEBAwqKqqamdb5nI3BQUFPiNHjozbv39/ZsPdpkSuipdkcheK8QSAKeBVAajtqQBmeHIpI8/32muvdRk6dGjCk08+WcRSRp6CI2auSNE+DOAl2THIo82HYvT4eY2uPGJGRB0XR8zcjWL8N4DXZMcgj/UpgKdkhyAiorOxmLmuhwDweoXU2vIBTIVi7Ci7y61Wq7Xp8yYQEbUz+++kJn8Hs5i5KsVoAXALgGZdi4+oGYoBjIFiNJ53Sc+ReeLECS3LGRG5AqvVKk6cOKEF0OS57DjHzNUp2h4AfgIQLTsKuTUjgBFQjLtlB2lPO3bs6Obt7f0fAEngP6JEJJ8VQKbZbL4zNTX1eGMLsJi5A0WrB7ANwHlPckjUiBrYRsq+lR2EiIjOjf9BugPFmAXgagCl51uUqIFaADexlBERuQcWM3ehGHcAGA3bxaaJmsM2T1Exfi47CBERNQ+LmTtRjDthK2enZEchl1cH29GXH8oOQkREzcc5Zu5I0Q4A8BWAcNlRyCVVwbb7ktdeJSJyMyxm7krRJsFWzrrJjkIupQTA9VCMP8oOQkREF467Mt2VYswEcAWA/bKjkMsoAnAlSxkRkftiMXNninEvgGEA+IeY9gK43H4ELxERuSkWM3enGE8AGAVgrewoJM33AK6AYjwoOwgREbUMi5knUIzVAG4G8DQAThrsWF4DMBKKsdEzSBMRkXvh5H9Po2gnAEgDECA7CrWpagCzoBiXyw5CRESth8XMEynaBACrAQyQHYXaxG+wnQ5jl+wgRETUurgr0xMpxhwAl8K2m4s8y/8ADGYpIyLyTBwx83SKdhyAd8CT0bq7GgD/B+BlKEar7DBERNQ2WMw6AkXbC8By2I7eJPfzI4CZUIx5soMQEVHb4q7MjkAxHgFwDYBHAFRKTkPNZwLwGGynwmApIyLqADhi1tEo2kgArwC4SXYUOqdfYBsly5YdhIiI2g+LWUelaK+D7eCAPrKjUD1G2M5HtwiK0SI7DBERtS8Ws45M0foDmAfgUQCdJKfp6KywHaTxfzxZLBFRx8ViRoCijQPwLIAJAITkNB3RVwD+BsW4U3YQIiKSi8WMfqdok2EraONkR+kgMgA8BsX4uewgRETkGljM6GyK9lLYCtq1sqN4qJ8BPAfgYyhG/gASEdEZLGbUNEV7BYCnAFwtO4qH+ALAc1CMm2UHISIi18RiRuenaA0AHgIwBYCf5DTuxgpgLWyFjHPIiIjonFjMqPkUbTiA2wHMAtBXchpXdwhAGoClUIy/yQ5DRETugcWMLpyiFbBdSeAOAH8EECA3kMuoAfAhgKUAvuY1LYmI6EKxmFHLKNoAANcDuBnAdeh4JU0F8BNso2OroRjLJOchIiI3xmJGrUfRdoatpE2EZ5e0ctgm8n8K4DOeEJaIiFoLixm1DUXrC2AogJEArrJ/7CszUgvlw1bEPgWwBYqxTnIeIiLyQCxm1D4UrR+AYbAVtZEAkgFoJSY6l9MAdgL4EcD3AL6HYjwmNxIREXUELGYkj6KNApDU4C0BgH87JTACOABgv/19JoAdAHI5cZ+IiGRgMSPXomg1ACIBRDi97w6gK4Bw+5svAG8APvY354/rYCtcDd/KAZQCKICjiCnGU+30qoiIiJqFxYyIiIjIRWhkByAiIiIiGxYzIiIiIhfBYkZERETkIljMiIiIiFwEixkRERGRi2AxIyIiInIRLGZERERELoLFjIiIiMhFsJgRERERuQgWMyIiIiIXwWJGRERE5CJYzIiIiIhcBIsZERERkYtgMSMiIiJyESxmRERERC6CxYyIiIjIRbCYEREREbkIFjMiIiIiF8FiRkREROQiWMyIiIiIXMT/AykP01EAo1IAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for mutant in sorted(candidates):\n",
    "    mut_sim = wt_sim.copy()\n",
    "    for (node, value) in mutant:\n",
    "        mut_sim.mutate(node, \"ON\" if value else \"OFF\")\n",
    "    mut_res = mut_sim.run()\n",
    "    mut_res.plot_piechart(embed_labels=False, autopct=4)\n",
    "    mutant_name = \"/\".join([\"%s:%s\"%m for m in mutant])\n",
    "    plt.title(\"%s mutant\" % mutant_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python3",
   "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": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}