lec/l03/l03.ipynb

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    "# CS579: Lecture 03  \n",
    "**Representing Graphs**\n",
    "\n",
    "*[Dr. Aron Culotta](http://cs.iit.edu/~culotta)*  \n",
    "*[Illinois Institute of Technology](http://iit.edu)*\n",
    "\n",
    "(Slides inspired in part by [Jure Leskovec](http://web.stanford.edu/class/cs224w/slides/02-gnp.pdf) and [Easley & Kleinberg](https://github.com/iit-cs579/main/blob/master/read/ek-02.pdf))\n",
    "\n",
    "<br><br><br><br><br><br><br><br><br><br><br><br>"
   ]
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   "source": [
    "# Terminology\n",
    "\n",
    "- **Graph:** A way to represent objects and their relations\n",
    "  - **Node:** represents an object\n",
    "  - **Edge:** represents a relation between two nodes. \n",
    "  - **Neighbor:** Two nodes are *neighbors* if they are connected by an edge.\n",
    "- **Directed Graph:** Represents asymmetric (one-way) relationships\n",
    "- **Undirected Graph:** Represents symmetric relationships\n",
    "\n",
    "![graph.pdf](graph.pdf)\n",
    "\n",
    "[Source](https://github.com/iit-cs579/main/blob/master/read/ek-02.pdf)\n",
    "\n",
    "Examples of **directed** and **undirected** graphs?\n",
    "\n",
    "<br><br><br><br><br>"
   ]
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   "source": [
    "**Path:** A sequence of nodes in which each consecutive pair are neighbors\n",
    "- E.g., $A,B,C$ in Figure 2.1(a)\n",
    "\n",
    "**Cycle:** A path of at least 3 edges, with first and last nodes the same.\n",
    "- E.g., $B,C,D$ in Figure 2.1(a)"
   ]
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    "<br><br><br><br>\n",
    "\n",
    "**Connected:** A graph is *connected* if there exists a path between each pair of nodes.\n",
    "  - Example of a graph that is *not* connected?"
   ]
  },
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   "source": [
    "<br><br><br><br>\n",
    "**Connected Component:** A maximal subset of nodes such that each pair of nodes is connected \n",
    "\n",
    "![components](components.png)\n",
    "[Source](https://github.com/iit-cs579/main/blob/master/read/ek-02.pdf)"
   ]
  },
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   "source": [
    "- Is the global friendship network connected?\n",
    "\n",
    "<br><br><br><br>\n"
   ]
  },
  {
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   "source": [
    "# Giant Connected Components\n",
    "\n",
    "![giant](giant.png)"
   ]
  },
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   "source": [
    "**Node Degree:** Number of neighbors of a node.\n",
    "  - For directed graphs, distinguish between **in-degree** and **out-degree**\n",
    "  \n",
    "![graph.pdf](graph.pdf)\n",
    "\n",
    "[Source](https://github.com/iit-cs579/main/blob/master/read/ek-02.pdf)\n"
   ]
  },
  {
   "cell_type": "markdown",
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   },
   "source": [
    "# Number of edges\n",
    "\n",
    "If there are $N$ nodes, what is the maximum number of edges?\n",
    "\n",
    "<br><br><br><br><br><br><br><br><br><br><br><br>\n",
    "\n",
    "$$\\frac{N(N-1)}{2}$$"
   ]
  },
  {
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   "execution_count": 2,
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IBXB37npzHk98vJQrj+rCTUN6JDuklJVIR5yTzKw7cGAomu/uefGGJSISv3vfWcjDHyzmksGduO20gzUmTYwS6hvN3fPcfWaYEko0ZlbXzKaY2edmNtvM7gjlXczsMzPLMrPniwdiM7M6YTkrrO9c4li3hvL5ZnZSifKTQ1mWmd1SonyX5xARKTby/UXcN2kh5/Rvzx1n9lKiiVmcHXHmAceFxgWHASeb2WDgr8A97t4N2AgMD9sPBzaG8nvCdphZT+B8oBdwMvBvM0sLA7o9CJwC9AQuCNtSyjlERHj4g0X89c15nHloW+46uw81NPhZ7EpNNhYpV0Nzj2wJi7XC5MBxwIuhfAxwVpgfGpYJ64+36H81hgLPhaerJUAWMDBMWe6+2N3zgeeAoWGf3Z1DRKq5Rz5cxP+9MY/T+7Th7nMP1SibFaTUZOPuDrxe3oOHJ5AZwBpgIrAI+NrdC8Im2UC7MN8OWB7OWwDkAC1Klu+0z+7KW5RyDhGpxh75cBF/eT1KNPeedxg10zTKSkVJ5E96mpkNKM/B3b3Q3Q8D2hM9iRxUnuPExcxGmFmGmWWsXbs22eGISIwe/XAxf3l9Hqcp0SRFIn/ag4BPzGyRmc00s1lmNnNPTuLuXwPvAYcDTc2suBVce2BFmF8BdAAI65sA60uW77TP7srXl3KOneN6xN3T3T29VSt1tCeSqh79cDF/fn0up/Vpw31KNEmRyJ/4ScABRO9BzgBO5/u9QH+PmbUys6Zhvh5wIjCXKOn8JGw2DHg1zI8Py4T174ZqvPHA+aG1WhegOzAFmAp0Dy3PahM1Ihgf9tndOUSkmlGiqRzK/FN392VETxDHhfncRPYD2hB9DDqTKDFMdPcJwG+AG80si+j9SnGP0qOAFqH8RuCWcP7ZwDhgDvAmcG2onisArgPeIkpi48K2lHIOEalGHvtfSDSHKNEkm0UPAqVsYHY7kA4c6O49zKwt8IK7H1kRAVaU9PR0z8jISHYYIrKPPPa/xfzpvyHRnK9EExczy3T39LK2S+RP/0fAmcBWAHf/Cmi0d+GJiMTnkQ8XfZNo7lWiqRQS6Rst393dzBzAzBrEHJOISLm4O/96N4u7Jy74ptVZLSWaSiGRuzDOzB4mauF1FfAO8Gi8YYmI7Bl35+9vzefuiQs4u1977j+/rxJNJZJIR5z/MLMTgU1AD+D37j4x9shERBJUPEzA4x8t5cJBHfnT0N7qgqaSSaQaDWAWUI+ou5lZ8YUjIrJnioqc3736Bc989iWXH9mZ35/eU51qVkJlPmOa2ZVE37X8mOjblU/N7Iq4AxMRKUvxUM7PfPYlP/3hAUo0lViig6f1dff1AGbWAvgYGB1nYCIipdlRWMQvn5/BhJkrufHEHlx/XDclmkoskWSzHthcYnlzKBMRSYq8gkKuf2Y6b89Zza2nHMTVxxxQ9k6SVLtNNmZ2Y5jNAj4zs1eJ3tkMBfaobzQRkX1lW34hPx2byfvz13LHmb0YdkTnZIckCSjtyab4w81FYSqmfsZEJClytu1g+BNTyfxyI3f9+BDOH9gx2SFJgnabbNz9jooMRESkNGs353Hp6ClkrdnMAxf047Q+bZIdkuyBMt/ZmFk6cBvQqeT27t4nxrhERL6xfEMul4z6jNWb8nhs2ACO6aEhQaqaRBoIjCVqkTYLKIo3HBGR71q4ejOXjJpCbn4BT185iP6dmiU7JCmHRJLNWncfH3skIiI7+Xz51wx7fAq10mow7prDOWj/xskOScopkWRzu5k9BkwC8ooL3f3l2KISkWrv46x1XPVkBs0b1ubp4YPo1EJ9AFdliSSby4GDgFp8W43mgJKNiMTirdmruP6Z6XRp2YAnhw+kdeO6yQ5J9lIiyWaAux8YeyQiIsC4qcu55eWZHNqhKY9fNoCm9WsnOyTZBxLpf/tjM+sZeyQiUq25O/dPWsjNL83kyG4teXr4ICWaFJLIk81gYIaZLSF6Z2OAq+mziOwrBYVF/H78bJ757Et+3K8dfz27j8aiSTGJJJuTY49CRKqtbfmFXP/sdN6Zu5prjz2AXw05UB1qpqBEko3HHoWIVEsbt+YzfMxUpi//mj8O7cWlh3dOdkgSk0SSzX+JEo4BdYEuwHygV4xxiUiKW74hl2GPTyF74zZGXtSPk3ur+5lUlsiw0IeUXDazfsDPYotIRFLe7K9yuOzxqeTtKGTslYMY0Ll5skOSmCU6LPQ33H2amQ2KIxgRSX2TF67jmqczaVy3Js/89Ai6t25U9k5S5SXSEeeNJRZrAP2Ar2KLSERS1vNTv+S2V77ggFYNGXPFQPZvoo81q4tEnmxK/m9HAdE7nJfiCUdEUlFRkfP3t+cz8v1FHN29JQ9e1I/GdWslOyypQIm8s9G4NiJSbtt3FHLTuM/576yVXDioI3ec2Uvf0FRDiVSj9QB+BXTmu+PZHBdfWCKSCtZtyeOqJzOYsfxrbjv1YK48uou+oammEqlGewF4CHgMKIw3HBFJFQtXb+byJ6aybkseIy/qz8m99092SJJEiSSbAncfGXskIpIyPsqKWpzVqZnG8yMO59AOTZMdkiRZIhWnr5nZz8ysjZk1L55ij0xEqqRxU5czbPQU2jSpy3+uPUKJRoDEks0womGhPwYyw5RR1k5m1sHM3jOzOWY228x+Hsqbm9lEM1sYfpuFcjOz+80sy8xmho9Hi481LGy/0MyGlSjvb2azwj73W6gM3t05RCQ+BYVF3DlhDje/NJPDD2jBiz89gvbN6ic7LKkkykw27t5lF1PXBI5dANzk7j2Jeo6+NgxVcAswyd27E43+eUvY/hSge5hGACMhShzA7cAgYCDRyKHFyWMkcFWJ/Yo7Dd3dOUQkBjnbdnDFmAxGTV7CZUd05vHLBqhps3xHbO0P3X2lu08L85uBuUA7YCgwJmw2BjgrzA8FnvTIp0BTM2sDnARMdPcN7r4RmAicHNY1dvdP3d2BJ3c61q7OISL72OK1W/jRvz/ik0Xr+L8fH8IfzuxFTTVtlp3scXc15WFmnYG+wGdAa3dfGVatAlqH+XbA8hK7ZYey0sqzd1FOKecQkX3ogwVrue6ZadROq8HYKwczsIte58quxZ5szKwhUY8Dv3D3TSXb2Lu7m1msQxiUdg4zG0FUZUfHjh3jDEMkpbg7oyYv4S+vz6VH60Y8Nixd72ekVAklGzPrw/c/6nw5gf1qESWasSW2X21mbdx9ZagKWxPKVwAdSuzePpStAH64U/n7obz9LrYv7Rzf4e6PAI8ApKena9wekQTkFRTyu1e+4IXMbE7q1Zq7zz2MBnUqpJJEqrAyK1bNbDQwGjgbOCNMpyewnwGjgLnufneJVeOJWrgRfl8tUX5paJU2GMgJVWFvAUPMrFloGDAEeCus22Rmg8O5Lt3pWLs6h4jshTWbtnPho5/xQmY2NxzfnZEX9VeikYQk8rdkcGhRtqeOBC4BZpnZjFD2W+AuYJyZDQeWAeeGda8DpwJZQC5wOYC7bzCzO4GpYbs/uvuGMP8z4AmgHvBGmCjlHCJSTpnLNvDTp6exeXsBD1zYl9P7tE12SFKFWNSQq5QNzEYB/3T3ORUTUnKkp6d7RkaZnw+JVDvuzpOfLOPOCXNo36weD13Sn4P2b5zssKSSMLNMd08va7tEnmyeBD4xs1VAHtHw0O7uffYyRhGp5LblF3LbK7N4efoKTjh4P/557mE0qafvZ2TPJZJsRhGqw4CieMMRkcriy/W5XP10JvNWbeLGE3tw3bHdqFFDPTZL+SSSbNa6+/jYIxGRSuP9+Wv4+XMzcHdGXzaAYw/cL9khSRWXSLKZbmbPAK8RVaMBiTV9FpGqpajIefC9LO5+ZwEH7d+Yhy7uR6cWDZIdlqSARJJNPaIkM6REmQNKNiIpZOPWfG4cN4P35q/lR33b8ZcfHUK92mnJDktSRCLDQl9eEYGISPJkLtvAdc9MZ/2WfO4c2ouLB3fSiJqyTyUyLPTjRE8y3+HuV8QSkYhUGHfn0f8t5m9vzqdt03q8/LMj6N2uSbLDkhSUSDXahBLzdYEfAV/FE46IVJSvc/P51Quf887cNZzSe3/++pM+GhZAYpNINdpLJZfN7FlgcmwRiUjspn25keufmc6azdv5wxk9GXZEZ1WbSazK06lRd0DtIEWqoOLemu96Yx77N6nLi9do2GapGIm8s9lM9M7Gwu8q4DcxxyUi+9i6LXnc/OJM3p23hiE9W/P3nxxKk/qqNpOKkUg1WqOKCERE4vPBgrXcNO5zNm3foWozSYpYx7MRkeTKKyjk72/O57HJS+jRuiFPXzlQnWhKUiRSjTYa6APM5tu+0fRRp0gll7VmCzc8O505KzdxyeBO3HbawdStpY80JTniHM9GRJLA3Xl+6nLueG0OdWvV4NFL0zmxZ+tkhyXVXCLJ5hMz65nq49mIpIKNW/P57SuzeOOLVRzZrQV3n3sYrRvXTXZYIhrPRiRVvDtvNb95aRYbt+ZzyykHMeLorhoSQCoNjWcjUsVtySvgTxPm8NzU5RzYuhFPXD6AXm3V5YxULhrPRqQK+3Txen71wud89fU2rjnmAH55Ynfq1FQjAKl8NJ6NSBW0fUch/3hrPqM+WkLH5vUZd/XhpHdunuywRHZL49mIVDGzsnP45bgZZK3ZwsWDO3LrKQfToE55ep4SqTgaz0akiti+o5B/vbuQhz5YTMuGtRlzxUCO6dEq2WGJJGS3ycbMbnb3v5nZv9j1eDY3xBqZiHwjc9kGbn5xJovWbuXsfu35/ek91a+ZVCmlPdnMDb8ZFRGIiHxfbn4Bf3tzPmM+WUrbJvX0NCNV1m6Tjbu/Fmafd/ftJdeZWctYoxIRJi9cxy0vzyR74zYuPbwTN598EA31bkaqqBoJbDPFzAYXL5jZ2cDH8YUkUr3lbNvBb16cycWjPqNWWg3GXX04fxzaW4lGqrRE/vZeBIw2s/eBtkAL4Lg4gxKpjtyd12et4o7XZrN+az7XHHMAvzihuzrPlJSQSGu0WWb2Z+ApYDPwA3fPjj0ykWpk2fqt/P7V2XywYC292jbmsWHp9GmvETQldSQyxMAo4ACiYQZ6ABPM7F/u/mDcwYmkuryCQh79cDH/ejeLWmk1uP2MnlwyuBM10xKp4RapOhKpRpsFXOnuDiwxs0HA3fGGJZL6Plm0nt/9ZxaL1m7ltEPa8P9O78n+TdRDs6SmRKrR7t1pOQcYHltEIilu/ZY8/vz6XF6etoIOzevx+GUDOPag/ZIdlkisynxWN7PuZvaimc0xs8XFUwL7jTazNWb2RYmy5mY20cwWht9modzM7H4zyzKzmWbWr8Q+w8L2C81sWIny/mY2K+xzv4UB1Xd3DpFkKygsYszHSznunx/w2udfce2xB/D2L45RopFqIZGK4ceBkUABcCzR+DZPJ7DfE8DJO5XdAkxy9+7ApLAMcArQPUwjwvkws+bA7cAgYCBwe4nkMRK4qsR+J5dxDpGk+ThrHafdP5nbx8+md7vGvH7D0fz6pIOoV1stzaR6SCTZ1HP3SYC5+zJ3/wNwWlk7ufuHwIadiocCY8L8GOCsEuVPeuRToKmZtQFOAia6+wZ33whMBE4O6xq7+6fhXdKTOx1rV+cQqXDZG3P52dhMLnzsM7bmF/DQxf15evggurdulOzQRCpUIg0E8sysBrDQzK4DVgANy3m+1u6+MsyvAooHRm8HLC+xXXYoK608exflpZ3je8xsBNGTFB07dtzTaxHZrW35hYz8YBEPf7AIM7jpxB5c9YOu+mZGqq1Eks3PgfrADcCdRB90Dit1jwS4u5vZ9zr43JfKOoe7PwI8ApCenh5rLFI9uDuvzVzJXa/P5auc7ZxxaFtuPeUg2jatl+zQRJIqkdZoU8PsFmBvhxtYbWZt3H1lqApbE8pXAB1KbNc+lK0AfrhT+fuhvP0uti/tHCKx+mzxev7y+lw+z87h4DaNuee8wxjUtUWywxKpFBJpjZZuZq+Y2bTQUmymmc0s5/nG8+1T0TDg1RLll4ZWaYOBnFAV9hYwxMyahYYBQ4C3wrpNZjY4tEK7dKdj7eocIrFYtHYLVz2ZwXmPfMrqTXn845xDmXD9UUo0IiUkUo02Fvg10cedRYke2MxpRuAuAAAPTElEQVSeJXoqaWlm2UStyu4CxpnZcGAZcG7Y/HXgVCALyCU8Qbn7BjO7Eyh+uvqjuxc3OvgZUYu3esAbYaKUc4jsU+u25HHfOwt5ZsqX1KuVxq9POpArjuyiFmYiu2BRY65SNjCb7O5HVVA8SZOenu4ZGRq6R8qWm1/A6MlLeOiDxWzbUchFgzpyw/HdadmwTrJDE6lwZpbp7ullbZfIk83tZvYY0TcrecWF7v7yXsQnUuVs31HIM599yb/fz2LdlnyG9GzNb045iANalbdxpkj1kUiyuRw4CKjFt9VoDijZSLWwo7CIFzOz+dekhXyVs53Du7bg4Ut60L9T82SHJlJlJJJsBrj7gbFHIlLJFBY5r33+Ffe+s4Cl63Pp27Ep/zjnUI7opoFqRfZUIsnmYzPr6e5zYo9GpBIoKnLenrOKuycuYMHqLRzcpjGjhqVz3EH7EbrgE5E9lEiyGQzMMLMlRO9sjOh7yT6xRiZSwQqLnAkzv+LB97JYsHoLXVs14IEL+3Jq7zbUqKEkI7I3Ekk2O3emKZJSdhQW8eqMr/j3e1ksXreV7vs15L7zD+P0Pm1JU5IR2ScS6UFgWUUEIlLR8goKeSlzBSM/yGL5hm30bNOYkRf146Re++tJRmQfS+TJRiSlbMkr4LkpXzJq8hJW5mzn0A5N+cMZvfRORiRGSjZSbazK2c7jHy/hmc++ZPP2AgZ1ac7fftKHo7q1VJIRiZmSjaS8eas28eiHSxj/+QoKi5xTDmnDiKO7cmiHpskOTaTaULKRlOTuTM5ax6P/W8KHC9ZSr1YaFw3qxPCjutChef1khydS7SjZSErZklfAy9OyGfPxUhat3UrLhnX49UkHctGgjjStXzvZ4YlUW0o2khKy1mzhqU+W8tK0FWzJK6BP+yb885xDOa1PG42OKVIJKNlIlVVY5Lw7bw1PfrKU/y1cR+20Gpzepw2XHtGZw/Q+RqRSUbKRKmf5hlxeyFjOC5nZrMzZzv6N6/KrIT04f2BHdfMvUkkp2UiVkFdQyNuzVzMuYzmTs9YBcHT3Vvz+9J6c2LM1NdPKHHRWRJJIyUYqtfmrNvP81OW8Mj2bjbk7aNe0Hj8/vjvnpHegXdN6yQ5PRBKkZCOVzqqc7Yz/fAWvTP+KuSs3USvNGNJzf84b0IEju7VUf2UiVZCSjVQKm7fv4M0vVvGfGSv4eNF63AndyPTkjEPb0kLvYkSqNCUbSZpt+YV8sGANr81cyTtzVpNXUESnFvW54bjunNW3HV1aNkh2iCKyjyjZSIXamlfAu/PW8MYXK3lv3lq27SikeYPanDegA2f1bUffDk3VT5lIClKykdjlbNvBe/PW8PqslXywYC15BUW0bFiHs/u349TebRjYpblak4mkOCUb2efcnUVrt/LuvNW8O28NU5dupLDI2b9xXS4Y2JFTD2lD/07N9KJfpBpRspF9Ir+giClLNjApJJhl63MBOGj/Rlz9g64cf3Br+nZoqkHJRKopJRspl6IiZ/7qzXyUtY7JWeuYsmQDufmF1KlZgyO7teTKo7ty3EH76VsYEQGUbGQPLN+Qy8eL1jE5az0fZ61j/dZ8AA5o1YBz+rfn6O6tOLJbS+rVVseXIvJdSjayS4VFzvxVm8lYtoGpSzeSuXQDX+VsB6BVozr8oEeUWI7s1oI2TfT0IiKlU7IRAHJydzBrRQ7Tv9xIxrKNTFu2kc15BQC0blyH9M7NGdGpGUd0a0n3/RqqebKI7BElm2po0/YdfLEih1nZOcwMv19uyP1m/YGtG3HmYW1J79yM9E7Nad+snpKLiOwVJZsUll9QxOJ1W1iwegsLVm1m/urNLFi9+ZuWYgDtm9WjT/smXDCwI4e0a8Ih7ZrQpH6tJEYtIqkoZZONmZ0M3AekAY+5+11JDikW7s6azXksXbeVZRtyWbZ+K0vX5bJg9WaWrNtKQZEDkFbD6NKyAb3bNuGc/u05pH1TDmnXhOYNNFSyiMQvJZONmaUBDwInAtnAVDMb7+5zkhvZnssrKGTNpjxW5mxn1abtrMrZxsqc7azYuI0vN+SybH0u23YUfrN9Wg2jfbN6dN+vEUN6taZH60b0aN2Irq0aUKemWomJSHKkZLIBBgJZ7r4YwMyeA4YCSUk2RUXO9oJCtuYVkptf8M3vlrwCcrbtYMPWfDbm7mDj1nw25OZHv1vzWbclj3Vb8r93vAa102jbtB6dWtTnyG4t6dyiPh1bNKBzi/q0bVqPWur6RUQqmVRNNu2A5SWWs4FBcZzot6/M4tPF6ykscgoKnSJ3Coo8LBdRUORs21GIe+nHMYOm9WrRrEFtmtevTYfm9enbsSltmtRj/yZ12b9xXdo0qcv+TerSqK7eqYhI1ZKqySYhZjYCGAHQsWPHch2jXdN69GzTmJo1jBo1jJo1jLQaNUirATVr1KBmDaN+nZo0qJ1G/dpp1K9dkwZ1ot/6tdNoWr82zRvUpkm9WuorTERSVqommxVAhxLL7UPZd7j7I8AjAOnp6WU8e+zatcd2K89uIiLVSqpW7k8FuptZFzOrDZwPjE9yTCIi1VZKPtm4e4GZXQe8RdT0ebS7z05yWCIi1VZKJhsAd38deD3ZcYiISOpWo4mISCWiZCMiIrFTshERkdgp2YiISOyUbEREJHbmZfWjUk2Y2VpgWTl3bwms24fhVAW65upB11w97M01d3L3VmVtpGSzD5hZhrunJzuOiqRrrh50zdVDRVyzqtFERCR2SjYiIhI7JZt945FkB5AEuubqQddcPcR+zXpnIyIisdOTjYiIxE7JZi+Z2clmNt/MsszslmTHsy+YWQcze8/M5pjZbDP7eShvbmYTzWxh+G0Wys3M7g9/BjPNrF9yr6D8zCzNzKab2YSw3MXMPgvX9nwYsgIzqxOWs8L6zsmMu7zMrKmZvWhm88xsrpkdnur32cx+Gf5ef2Fmz5pZ3VS7z2Y22szWmNkXJcr2+L6a2bCw/UIzG7Y3MSnZ7AUzSwMeBE4BegIXmFnP5Ea1TxQAN7l7T2AwcG24rluASe7eHZgUliG6/u5hGgGMrPiQ95mfA3NLLP8VuMfduwEbgeGhfDiwMZTfE7ariu4D3nT3g4BDia49Ze+zmbUDbgDS3b030RAk55N69/kJ4OSdyvbovppZc+B2YBAwELi9OEGVi7trKucEHA68VWL5VuDWZMcVw3W+CpwIzAfahLI2wPww/zBwQYntv9muKk1EI7pOAo4DJgBG9KFbzZ3vN9FYSYeH+ZphO0v2Nezh9TYBluwcdyrfZ6AdsBxoHu7bBOCkVLzPQGfgi/LeV+AC4OES5d/Zbk8nPdnsneK/uMWyQ1nKCNUGfYHPgNbuvjKsWgW0DvOp8udwL3AzUBSWWwBfu3tBWC55Xd9cc1ifE7avSroAa4HHQ9XhY2bWgBS+z+6+AvgH8CWwkui+ZZLa97nYnt7XfXq/lWxkt8ysIfAS8At331RynUf/q5MyTRnN7HRgjbtnJjuWClQT6AeMdPe+wFa+rVoBUvI+NwOGEiXatkADvl/dlPKScV+VbPbOCqBDieX2oazKM7NaRIlmrLu/HIpXm1mbsL4NsCaUp8Kfw5HAmWa2FHiOqCrtPqCpmRWPaFvyur655rC+CbC+IgPeB7KBbHf/LCy/SJR8Uvk+nwAscfe17r4DeJno3qfyfS62p/d1n95vJZu9MxXoHlqy1CZ60Tg+yTHtNTMzYBQw193vLrFqPFDcImUY0buc4vJLQ6uWwUBOicf1KsHdb3X39u7emeg+vuvuFwHvAT8Jm+18zcV/Fj8J21epJwB3XwUsN7MDQ9HxwBxS+D4TVZ8NNrP64e958TWn7H0uYU/v61vAEDNrFp4Ih4Sy8kn2S6yqPgGnAguARcBtyY5nH13TUUSP2DOBGWE6laiuehKwEHgHaB62N6JWeYuAWUQtfZJ+HXtx/T8EJoT5rsAUIAt4AagTyuuG5aywvmuy4y7ntR4GZIR7/R+gWarfZ+AOYB7wBfAUUCfV7jPwLNE7qR1ET7DDy3NfgSvCtWcBl+9NTOpBQEREYqdqNBERiZ2SjYiIxE7JRkREYqdkIyIisVOyERGR2CnZiMTAzN43s9jHsTezG0JvzWP38XEvM7MH9uUxpXqrWfYmIlKRzKymf9tPV1l+Bpzg7tlxxiSyt/RkI9WWmXUOTwWPhvFN3jazemHdN08mZtYydGNT/H/8/wnjgSw1s+vM7MbQkeWnoVv2YpeY2YwwbsrAsH+DMNbIlLDP0BLHHW9m7xJ9eLdzrDeG43xhZr8IZQ8RfYz4hpn9cqftLzOzl83szTAWyd9KrLvAzGaFY/21RPnlZrbAzKYQdeFSXN7KzF4ys6lhOjKUHxOub0a4lkZ7cz8kxSX7S1dNmpI1EXXBXgAcFpbHAReH+fcJX1IDLYGlYf4yoq+pGwGtiHoBviasu4eo09Li/R8N8z8gdPUO/KXEOZoS9T7RIBw3m/BV905x9if6srsB0BCYDfQN65YCLXexz2XAYqK+vOoCy4j6uWpL1GVLK6KajXeBs4i6lC8urw18BDwQjvUMcFSY70jUjRHAa8CRYb4hoYt+TZp2NakaTaq7Je4+I8xnEiWgsrzn7puBzWaWQ/SPLkQJoU+J7Z4FcPcPzayxmTUl6l/qTDP7VdimLtE/4AAT3X3DLs53FPCKu28FMLOXgaOB6WXEOcndc8I+c4BORF2WvO/ua0P5WKJkyE7lzwM9QvkJQM+oKzEAGocewT8C7g7HeNlVlSelULKR6i6vxHwhUC/MF/BtNXPdUvYpKrFcxHf/m9q5Lygn6ofqbHefX3KFmQ0i6uJ/X9r52sr733sNYLC7b9+p/C4z+y9Rv3kfmdlJ7j6vnOeQFKd3NiK7tpSo+gq+7Q14T50HYGZHEfWkm0PUa+71ocdhzKxvAsf5H3BW6Km4AfCjUFYeU4BjwnuoNKLRGD8gGhzvGDNrEYaXOKfEPm8D1xcvmNlh4fcAd5/l7n8l6gH9oHLGJNWAnmxEdu0fwDgzGwH8t5zH2G5m04FaRL3nAtxJNCLoTDOrQTQs8+mlHcTdp5nZE0SJAuAxdy+rCm13x1ppZrcQdalvwH/d/VUAM/sD8AnwNVFP38VuAB40s5lE/2Z8CFwD/MLMjiV6opsNvFGemKR6UK/PIiISO1WjiYhI7JRsREQkdko2IiISOyUbERGJnZKNiIjETslGRERip2QjIiKxU7IREZHY/X+QRk1VT9zBbwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "sizes = range(1000)\n",
    "plt.plot(sizes, [s*(s-1)/2.0 for s in sizes])\n",
    "plt.xlabel('number of nodes')\n",
    "plt.ylabel('maximum number of edges')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Luckily, most real-world graphs are extremely sparse.\n",
    "\n",
    "- E.g., you are probably not friends with over 1,000 people."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Measuring Graphs\n",
    "\n",
    "- How can we summarize a graph?\n",
    "  - Besides number of edges and number of nodes.\n",
    "  \n",
    "<br><br>\n",
    "  \n",
    "- Allows us to determine if two graphs are \"similar\"\n",
    "\n",
    "<br><br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Degree distribution\n",
    "\n",
    "- Probability that a randomly chosen node has degree $k$\n",
    "\n",
    "<br><br>\n",
    "\n",
    "- $N_k$: number of nodes with degree $k$\n",
    "- $P(k) = $ ?\n",
    "\n",
    "<br><br><br><br><br><br><br><br><br><br>\n",
    "\n",
    "$$P(k) = \\frac{N_k}{N}$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# See Karate Club network: http://vlado.fmf.uni-lj.si/pub/networks/data/Ucinet/UciData.htm#zachary\n",
    "# First, we print the degree for each of the 34 nodes.\n",
    "import networkx as nx\n",
    "G=nx.karate_club_graph()\n",
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DegreeView({0: 16, 1: 9, 2: 10, 3: 6, 4: 3, 5: 4, 6: 4, 7: 4, 8: 5, 9: 2, 10: 3, 11: 1, 12: 2, 13: 5, 14: 2, 15: 2, 16: 2, 17: 2, 18: 2, 19: 3, 20: 2, 21: 2, 22: 2, 23: 5, 24: 3, 25: 3, 26: 2, 27: 4, 28: 3, 29: 4, 30: 4, 31: 6, 32: 12, 33: 17})"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# dict from node id to degree\n",
    "degrees = nx.degree(G)\n",
    "degrees"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 16,\n",
       " 1: 9,\n",
       " 2: 10,\n",
       " 3: 6,\n",
       " 4: 3,\n",
       " 5: 4,\n",
       " 6: 4,\n",
       " 7: 4,\n",
       " 8: 5,\n",
       " 9: 2,\n",
       " 10: 3,\n",
       " 11: 1,\n",
       " 12: 2,\n",
       " 13: 5,\n",
       " 14: 2,\n",
       " 15: 2,\n",
       " 16: 2,\n",
       " 17: 2,\n",
       " 18: 2,\n",
       " 19: 3,\n",
       " 20: 2,\n",
       " 21: 2,\n",
       " 22: 2,\n",
       " 23: 5,\n",
       " 24: 3,\n",
       " 25: 3,\n",
       " 26: 2,\n",
       " 27: 4,\n",
       " 28: 3,\n",
       " 29: 4,\n",
       " 30: 4,\n",
       " 31: 6,\n",
       " 32: 12,\n",
       " 33: 17}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "degrees = dict(degrees)\n",
    "degrees"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Counter({16: 1,\n",
       "         9: 1,\n",
       "         10: 1,\n",
       "         6: 2,\n",
       "         3: 6,\n",
       "         4: 6,\n",
       "         5: 3,\n",
       "         2: 11,\n",
       "         1: 1,\n",
       "         12: 1,\n",
       "         17: 1})"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Count number of nodes with each degree value.\n",
    "from collections import Counter\n",
    "degree_counts = Counter(degrees.values())\n",
    "degree_counts\n",
    "# e.g., 11 nodes have degree of 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1, 0.029411764705882353), (2, 0.3235294117647059), (3, 0.17647058823529413), (4, 0.17647058823529413), (5, 0.08823529411764706)]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Now, let's plot the bar graph for the distribution of P(k)\n",
    "# probability of a node having degree k\n",
    "p_k = [(degree, count / len(G.nodes()))\n",
    "       for degree, count in degree_counts.items()]\n",
    "p_k = sorted(p_k)\n",
    "print(p_k[:5])\n",
    "ks = [x[0] for x in p_k]  # Get the first element of each tuple (the degree)\n",
    "# Plot the bar chart.\n",
    "x_pos = range(len(ks))\n",
    "plt.xticks(x_pos, ks)\n",
    "plt.bar(x_pos, [x[1] for x in p_k], align='center', alpha=0.4)\n",
    "plt.xlabel('$k$')\n",
    "plt.ylabel('$P(k)$')\n",
    "mean = 1. * sum(degrees.values()) / len(G.nodes())\n",
    "plt.title(\"Degree Distribution for Karate Network (mean=%.2f)\" % mean)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A [Long Tail](http://en.wikipedia.org/wiki/Long_tail)\n",
    "- We'll see a lot of these.\n",
    "- The mean value of a long-tailed distribution is often misleading.\n",
    "\n",
    "<br><br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "**Diameter:** The maximum shortest-path between any pair of nodes.\n",
    "\n",
    "**Average path length:** The average shortest-path between any pair of nodes (in one component)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "**Clustering coefficient:** The fraction of a node's neighbors that are neighbors  \n",
    "(number of neighbor-neighbor links divided by number of possible neighbor-neighbor links)\n",
    "\n",
    "$$C_i = \\frac{2e_i}{k_i(k_i - 1)}$$\n",
    "\n",
    "- $e_i$: number of edges between neighbors of node $i$\n",
    "- $k_i$: degree of node $i$\n",
    "\n",
    "**Average Clustering Coefficient:**\n",
    "\n",
    "$$C = \\frac{1}{N}\\sum_i C_i  $$\n",
    "\n",
    "![cluster](cluster.png)\n",
    "\n",
    "$$C_i = \\frac{2e_i}{k_i(k_i - 1)}$$\n",
    "\n",
    "[Source](http://web.stanford.edu/class/cs224w/slides/02-gnp.pdf)\n",
    "\n",
    "<br><br><br>\n",
    "What is clustering coefficient of node D?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "$k_D=4, e_D=2, C_D=4/12 = 1/3$\n",
    "\n",
    "<br><br><br>\n",
    "\n",
    "...of node B?\n",
    "\n",
    "<br><br><br>\n",
    "\n",
    "$k_B=2, e_B=1, C_B=2/2 = 1$\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5706384782076823\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "{0: 0.15,\n",
       " 1: 0.3333333333333333,\n",
       " 2: 0.24444444444444444,\n",
       " 3: 0.6666666666666666,\n",
       " 4: 0.6666666666666666,\n",
       " 5: 0.5,\n",
       " 6: 0.5,\n",
       " 7: 1.0,\n",
       " 8: 0.5,\n",
       " 9: 0,\n",
       " 10: 0.6666666666666666,\n",
       " 11: 0,\n",
       " 12: 1.0,\n",
       " 13: 0.6,\n",
       " 14: 1.0,\n",
       " 15: 1.0,\n",
       " 16: 1.0,\n",
       " 17: 1.0,\n",
       " 18: 1.0,\n",
       " 19: 0.3333333333333333,\n",
       " 20: 1.0,\n",
       " 21: 1.0,\n",
       " 22: 1.0,\n",
       " 23: 0.4,\n",
       " 24: 0.3333333333333333,\n",
       " 25: 0.3333333333333333,\n",
       " 26: 1.0,\n",
       " 27: 0.16666666666666666,\n",
       " 28: 0.3333333333333333,\n",
       " 29: 0.6666666666666666,\n",
       " 30: 0.5,\n",
       " 31: 0.2,\n",
       " 32: 0.19696969696969696,\n",
       " 33: 0.11029411764705882}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# dict from node id to clustering coefficient.\n",
    "import numpy as np\n",
    "print(np.mean(list(nx.clustering(G).values())))\n",
    "nx.clustering(G)"
   ]
  },
  {
   "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": [
    "plt.hist(list(nx.clustering(G).values()), bins=10)\n",
    "plt.xlabel('clustering coefficient')\n",
    "plt.ylabel('count')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(sorted(list(nx.clustering(G).values())), 'bo-')\n",
    "plt.xlabel('rank')\n",
    "plt.ylabel('clustering coefficient')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.scatter(list(dict(nx.degree(G)).values()), list(nx.clustering(G).values()))\n",
    "plt.xlabel('degree')\n",
    "plt.ylabel('clustering coefficient')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<link href=\"https://fonts.googleapis.com/css?family=Droid+Sans+Mono\" rel=\"stylesheet\" type='text/css'>\n",
       "\n",
       "<link href=\"https://fonts.googleapis.com/css?family=Exo+2\" rel=\"stylesheet\" type='text/css'>\n",
       "\n",
       "<link href=\"https://fonts.googleapis.com/css?family=Lora\" rel=\"stylesheet\" type='text/css'>\n",
       "\n",
       "<link href=\"https://fonts.googleapis.com/css?family=Fira+Mono\" rel=\"stylesheet\" type='text/css'>\n",
       "\n",
       "<style>\n",
       "\n",
       "div#site {\n",
       "    height: 100% !important;\n",
       "}\n",
       "\n",
       "strong {\n",
       "  font-weight: 900 !important;\n",
       "}\n",
       "\n",
       ".container { width:90% !important; }\n",
       "\n",
       "\n",
       "div#notebook {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 20pt;\n",
       " line-height: 170%;\n",
       " color: #303030;\n",
       "}\n",
       "body,\n",
       "div.body {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 20pt;\n",
       " color: #303030;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       "}\n",
       "body.notebook_app {\n",
       " padding: 0;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       " padding-right: 0px !important;\n",
       " overflow-y: hidden;\n",
       "}\n",
       "a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " color: #303030;\n",
       "}\n",
       "a:hover,\n",
       "a:focus {\n",
       " color: #2f2f2f;\n",
       "}\n",
       ".list_header,\n",
       "div#notebook_list_header.row.list_header {\n",
       " font-size: 20pt;\n",
       " color: #2f2f2f;\n",
       " background-color: #ffffff;\n",
       "}\n",
       "div#cluster_list_header.row.list_header,\n",
       "div#running .row.list_header {\n",
       " font-size: 20pt;\n",
       " color: #303030;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-bottom: 2px solid rgba(180,180,180,.30);\n",
       "}\n",
       "div#cluster_list > div.list_item.row,\n",
       "div#cluster_list > div.list_item.row:hover {\n",
       " background: #fafafa;\n",
       " background-color: #fafafa;\n",
       "}\n",
       "div#clusters.tab-pane.active {\n",
       " font-size: 12.0pt;\n",
       " padding: 4px 0 4px 0;\n",
       "}\n",
       "#running .panel-group .panel .panel-heading {\n",
       " font-size: 14pt;\n",
       " color: #303030;\n",
       " padding: 8px 8px;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       "}\n",
       "#running .panel-group .panel .panel-heading a {\n",
       " font-size: 14pt;\n",
       " color: #303030;\n",
       "}\n",
       "#running .panel-group .panel .panel-heading a:focus,\n",
       "#running .panel-group .panel .panel-heading a:hover {\n",
       " font-size: 14pt;\n",
       " color: #303030;\n",
       "}\n",
       "#running .panel-group .panel .panel-body .list_container .list_item {\n",
       " background: #fafafa;\n",
       " background-color: #fafafa;\n",
       " padding: 2px;\n",
       " border-bottom: 2px solid rgba(180,180,180,.30);\n",
       "}\n",
       "#running .panel-group .panel .panel-body .list_container .list_item:hover {\n",
       " background: #fafafa;\n",
       " background-color: #fafafa;\n",
       "}\n",
       "#running .panel-group .panel .panel-body {\n",
       " padding: 2px;\n",
       "}\n",
       "div.running_list_info.toolbar_info {\n",
       " font-size: 12.0pt;\n",
       " padding: 4px 0 4px 0;\n",
       " height: inherit;\n",
       " line-height: inherit;\n",
       " text-shadow: none;\n",
       "}\n",
       ".list_placeholder {\n",
       " font-weight: normal;\n",
       "}\n",
       "#tree-selector {\n",
       " padding: 0px;\n",
       "}\n",
       "#project_name > ul > li > a > i.fa.fa-home {\n",
       " color: #ff7823;\n",
       " font-size: 17pt;\n",
       " display: inline-block;\n",
       " position: static;\n",
       " padding: 0px 0px;\n",
       " font-weight: normal;\n",
       " text-align: center;\n",
       " vertical-align: text-top;\n",
       "}\n",
       "#project_name {\n",
       " display: inline-flex;\n",
       " padding-left: 7px;\n",
       " margin-left: -2px;\n",
       " margin-bottom: -20px;\n",
       " text-align: -webkit-auto;\n",
       " vertical-align: text-top;\n",
       "}\n",
       "div#notebook_toolbar div.dynamic-instructions {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       "}\n",
       ".toolbar_info {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " color: #303030;\n",
       " text-shadow: none;\n",
       " border: none;\n",
       " height: inherit;\n",
       " line-height: inherit;\n",
       "}\n",
       ".list_container {\n",
       " font-size: 12.0pt;\n",
       " color: #303030;\n",
       " border: none;\n",
       " text-shadow: none !important;\n",
       "}\n",
       ".list_container > div {\n",
       " border-bottom: 1px solid rgba(180,180,180,.14);\n",
       " font-size: 12.0pt;\n",
       "}\n",
       ".list_header > div,\n",
       ".list_item > div {\n",
       " padding-left: 0px;\n",
       "}\n",
       ".list_header > div input,\n",
       ".list_item > div input {\n",
       " top: 0px;\n",
       "}\n",
       ".list_header > div .item_link,\n",
       ".list_item > div .item_link {\n",
       " margin-left: -1px;\n",
       " vertical-align: middle;\n",
       " line-height: 22px;\n",
       " font-size: 12.0pt;\n",
       "}\n",
       ".item_icon {\n",
       " font-size: 12.0pt;\n",
       " vertical-align: middle;\n",
       "}\n",
       ".list_item input:not([type=\"checkbox\"]) {\n",
       " padding-right: 0px;\n",
       " height: auto;\n",
       " width: 20%;\n",
       " margin: 6px 0 0;\n",
       " margin-top: 1px;\n",
       "}\n",
       "#button-select-all {\n",
       " height: auto;\n",
       " font-size: 12.0pt;\n",
       " padding: 5px;\n",
       " min-width: 65px;\n",
       " z-index: 0;\n",
       "}\n",
       "button#tree-selector-btn {\n",
       " height: auto;\n",
       " font-size: 12.0pt;\n",
       " padding: 5px;\n",
       "}\n",
       "input#select-all.pull-left.tree-selector {\n",
       " margin-left: 7px;\n",
       " margin-right: 2px;\n",
       " margin-top: 5px;\n",
       "}\n",
       "input[type=\"radio\"],\n",
       "input[type=\"checkbox\"] {\n",
       " margin: 6px 0 0;\n",
       " margin-top: 1px;\n",
       " line-height: normal;\n",
       "}\n",
       ".list_container a {\n",
       " font-size: 17px;\n",
       " color: #303030;\n",
       " border: none;\n",
       " text-shadow: none !important;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       "}\n",
       "div.list_container a:hover {\n",
       " color: #2f2f2f;\n",
       "}\n",
       "div.list_item:hover {\n",
       " background-color: #fafafa;\n",
       "}\n",
       ".breadcrumb > li {\n",
       " font-size: 12.0pt;\n",
       " color: #303030;\n",
       " border: none;\n",
       " text-shadow: none !important;\n",
       "}\n",
       "ul#tabs a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       " border-color: transparent;\n",
       " text-shadow: none !important;\n",
       "}\n",
       ".nav-tabs {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       " background: #ffffff;\n",
       " text-shadow: none !important;\n",
       " border-color: transparent;\n",
       " border-bottom-color: rgba(180,180,180,.30);\n",
       "}\n",
       ".nav-tabs > li > a:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: rgba(180,180,180,.14);\n",
       "}\n",
       ".nav-tabs > li > a:active,\n",
       ".nav-tabs > li > a:focus,\n",
       ".nav-tabs > li.active > a,\n",
       ".nav-tabs > li.active > a:focus,\n",
       ".nav-tabs > li.active > a:hover,\n",
       ".nav-tabs > li.active > a,\n",
       ".nav-tabs > li.active > a:hover,\n",
       ".nav-tabs > li.active > a:focus {\n",
       " color: #1c1c1c;\n",
       " background-color: #eeeeee;\n",
       " border: 1px solid transparent;\n",
       " border-bottom-color: transparent;\n",
       " cursor: default;\n",
       "}\n",
       ".nav > li > a:hover,\n",
       ".nav > li > a:focus {\n",
       " text-decoration: none;\n",
       " background-color: rgba(180,180,180,.14);\n",
       "}\n",
       ".nav > li.disabled > a,\n",
       ".nav > li.disabled > a:hover {\n",
       " color: #aaaaaa;\n",
       "}\n",
       "div#notebook {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 20pt;\n",
       " padding-top: 4px;\n",
       "}\n",
       ".notebook_app {\n",
       " background-color: #ffffff;\n",
       "}\n",
       "#notebook-container {\n",
       " padding: 13px;\n",
       " background-color: #ffffff;\n",
       " min-height: 0px;\n",
       " box-shadow: none;\n",
       " width: 980px;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       "}\n",
       "div#ipython-main-app.container {\n",
       " width: 980px;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       "}\n",
       ".container {\n",
       " width: 980px;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       "}\n",
       ".notebook_app #header {\n",
       " box-shadow: none !important;\n",
       " background-color: #ffffff;\n",
       " border-bottom: 2px solid rgba(180,180,180,.14);\n",
       "}\n",
       "#header {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 22pt;\n",
       " box-shadow: none;\n",
       " background-color: #ffffff;\n",
       "}\n",
       "#header .header-bar {\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       "}\n",
       "body > #header .header-bar {\n",
       " width: 100%;\n",
       " background: #ffffff;\n",
       "}\n",
       "#menubar {\n",
       " background-color: #ffffff;\n",
       "}\n",
       "#menubar .navbar,\n",
       ".navbar-default {\n",
       " background-color: #ffffff;\n",
       " margin-bottom: 0px;\n",
       " margin-top: 5px;\n",
       "}\n",
       ".navbar {\n",
       " border: none;\n",
       "}\n",
       "div.navbar-text,\n",
       ".navbar-text {\n",
       " margin-top: 6px !important;\n",
       " margin-bottom: 0px;\n",
       "}\n",
       ".navbar-default {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " background-color: #ffffff;\n",
       " border-color: rgba(180,180,180,.14);\n",
       " line-height: 1.5em;\n",
       " padding-bottom: 0px;\n",
       "}\n",
       ".navbar-default .navbar-nav > li > a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " color: #303030;\n",
       " display: block;\n",
       " line-height: 1.5em;\n",
       " padding-top: 9px;\n",
       " padding-bottom: 6px;\n",
       "}\n",
       ".navbar-default .navbar-nav > li > a:hover,\n",
       ".navbar-default .navbar-nav > li > a:focus {\n",
       " color: #2f2f2f;\n",
       " background-color: rgba(180,180,180,.14);\n",
       " border-color: rgba(180,180,180,.14);\n",
       " line-height: 1.5em;\n",
       "}\n",
       ".navbar-default .navbar-nav > .open > a,\n",
       ".navbar-default .navbar-nav > .open > a:hover,\n",
       ".navbar-default .navbar-nav > .open > a:focus {\n",
       " color: #1c1c1c;\n",
       " background-color: rgba(180,180,180,.14);\n",
       " border-color: rgba(180,180,180,.14);\n",
       " line-height: 1.5em;\n",
       "}\n",
       ".edit_mode .modal_indicator:before {\n",
       " font-size: 15pt;\n",
       " color: #2c85f7;\n",
       " content: \"\\f040\";\n",
       " padding-top: 5px;\n",
       " padding-bottom: 0px;\n",
       " vertical-align: bottom;\n",
       "}\n",
       ".command_mode .modal_indicator:before {\n",
       " font-size: 17pt;\n",
       " color: #2c85f7;\n",
       " content: \"\\f1f9\";\n",
       " padding-top: 5px;\n",
       " padding-bottom: 0px;\n",
       " vertical-align: bottom;\n",
       "}\n",
       ".item_icon {\n",
       " color: #126dce;\n",
       "}\n",
       ".item_buttons .kernel-name {\n",
       " font-size: 13pt;\n",
       " color: #126dce;\n",
       " line-height: 22px;\n",
       "}\n",
       ".running_notebook_icon:before {\n",
       " color: #009e07 !important;\n",
       "}\n",
       ".item_buttons .running-indicator {\n",
       " padding-top: 2px;\n",
       " color: #009e07;\n",
       "}\n",
       "#modal_indicator {\n",
       " float: right !important;\n",
       " color: #126dce;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       "}\n",
       "#kernel_indicator {\n",
       " float: right !important;\n",
       " color: #ff7823;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " font-size: 16pt;\n",
       " border-left: 2px solid #ff7823;\n",
       " padding-bottom: 2px;\n",
       "}\n",
       "#kernel_indicator .kernel_indicator_name {\n",
       " color: #ff7823;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " font-size: 16pt;\n",
       " padding-left: 5px;\n",
       " padding-right: 5px;\n",
       " margin-top: 10px;\n",
       " vertical-align: text-bottom;\n",
       " padding-bottom: 0px;\n",
       "}\n",
       "#kernel_indicator .kernel_indicator_name {\n",
       " color: #ff7823;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " font-size: 15.5pt;\n",
       " padding-left: 5px;\n",
       " padding-right: 5px;\n",
       " margin-top: 10px;\n",
       " vertical-align: text-bottom;\n",
       " padding-bottom: 0px;\n",
       "}\n",
       "div.notification_widget.info,\n",
       ".notification_widget.info,\n",
       ".notification_widget:active:hover,\n",
       ".notification_widget.active:hover,\n",
       ".open > .dropdown-toggle.notification_widget:hover,\n",
       ".notification_widget:active:focus,\n",
       ".notification_widget.active:focus,\n",
       ".open > .dropdown-toggle.notification_widget:focus,\n",
       ".notification_widget:active.focus,\n",
       ".notification_widget.active.focus,\n",
       ".open > .dropdown-toggle.notification_widget.focus,\n",
       "div#notification_notebook.notification_widget.btn.btn-xs.navbar-btn,\n",
       "div#notification_notebook.notification_widget.btn.btn-xs.navbar-btn:hover,\n",
       "div#notification_notebook.notification_widget.btn.btn-xs.navbar-btn:focus {\n",
       " color: #126dce;\n",
       " background-color: #ffffff;\n",
       " border-color: #ffffff;\n",
       "}\n",
       "#notification_area,\n",
       "div.notification_area {\n",
       " float: right !important;\n",
       " position: static;\n",
       "}\n",
       "#kernel_logo_widget,\n",
       "#kernel_logo_widget .current_kernel_logo {\n",
       " display: none;\n",
       "}\n",
       "div#ipython_notebook {\n",
       " display: none;\n",
       "}\n",
       "i.fa.fa-icon {\n",
       " -webkit-font-smoothing: antialiased;\n",
       " -moz-osx-font-smoothing: grayscale;\n",
       " text-rendering: auto;\n",
       "}\n",
       ".fa {\n",
       " display: inline-block;\n",
       " font: normal normal normal 12pt/1 \"FontAwesome\", \"Exo_2\", sans-serif;\n",
       " text-rendering: auto;\n",
       " -webkit-font-smoothing: antialiased;\n",
       " -moz-osx-font-smoothing: grayscale;\n",
       "}\n",
       ".dropdown-menu {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " box-shadow: none;\n",
       " padding: 0px;\n",
       " text-align: left;\n",
       " border: 2px solid rgba(180,180,180,.30);\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       " line-height: 1.3;\n",
       " margin: 0px;\n",
       "}\n",
       ".dropdown-menu:hover {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " border: 2px solid rgba(180,180,180,.30);\n",
       " background-color: #ffffff;\n",
       " box-shadow: none;\n",
       " line-height: 1.3;\n",
       "}\n",
       ".dropdown-header {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " display: block;\n",
       " color: #ff7823;\n",
       " text-decoration: underline;\n",
       " white-space: nowrap;\n",
       " padding: 8px 0px 0px 6px;\n",
       " line-height: 1.3;\n",
       "}\n",
       ".dropdown-menu > li > a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " line-height: 1.3;\n",
       " display: block;\n",
       " padding: 10px 25px 10px 14px;\n",
       " color: #303030;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       "}\n",
       ".dropdown-menu > li > a:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: rgba(180,180,180,.14);\n",
       " background: rgba(180,180,180,.14);\n",
       " border-color: rgba(180,180,180,.14);\n",
       "}\n",
       ".dropdown-menu .divider {\n",
       " height: 2px;\n",
       " margin: 0px 0px;\n",
       " overflow: hidden;\n",
       " background-color: rgba(180,180,180,.30);\n",
       "}\n",
       ".dropdown-submenu > .dropdown-menu {\n",
       " top: 0;\n",
       " left: 100%;\n",
       " margin-top: -2px;\n",
       " margin-left: 0px;\n",
       " padding-top: 0px;\n",
       "}\n",
       ".dropdown-menu > .disabled > a,\n",
       ".dropdown-menu > .disabled > a:hover,\n",
       ".dropdown-menu > .disabled > a:focus {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       " color: #aaaaaa;\n",
       " padding: none;\n",
       " display: block;\n",
       " clear: both;\n",
       " line-height: 1.2;\n",
       " white-space: nowrap;\n",
       "}\n",
       ".dropdown-submenu > a:after {\n",
       " color: #303030;\n",
       " margin-right: -16px;\n",
       "}\n",
       ".dropdown-submenu:hover > a:after,\n",
       ".dropdown-submenu:active > a:after,\n",
       ".dropdown-submenu:focus > a:after,\n",
       ".dropdown-submenu:visited > a:after {\n",
       " color: #ff7823;\n",
       " margin-right: -16px;\n",
       "}\n",
       "div.kse-dropdown > .dropdown-menu,\n",
       ".kse-dropdown > .dropdown-menu {\n",
       " min-width: 0;\n",
       " top: 94%;\n",
       "}\n",
       ".btn,\n",
       ".btn-default {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " color: #303030;\n",
       " background: #ebebeb;\n",
       " background-color: #ebebeb;\n",
       " border: 2px solid #e8e8e8;\n",
       " font-weight: normal;\n",
       " box-shadow: none;\n",
       " text-shadow: none;\n",
       " border-radius: 2px;\n",
       " font-size: inherit;\n",
       "}\n",
       ".btn:hover,\n",
       ".btn:active:hover,\n",
       ".btn.active:hover,\n",
       ".btn-default:hover,\n",
       ".open > .dropdown-toggle.btn-default:hover,\n",
       ".open > .dropdown-toggle.btn:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: #e4e4e4;\n",
       " background: #e4e4e4;\n",
       " border-color: #e4e4e4;\n",
       " background-image: none;\n",
       " box-shadow: none !important;\n",
       " border-radius: 2px;\n",
       "}\n",
       ".btn:active,\n",
       ".btn.active,\n",
       ".btn:active:focus,\n",
       ".btn.active:focus,\n",
       ".btn:active.focus,\n",
       ".btn.active.focus,\n",
       ".btn-default:focus,\n",
       ".btn-default.focus,\n",
       ".btn-default:active,\n",
       ".btn-default.active,\n",
       ".btn-default:active:hover,\n",
       ".btn-default.active:hover,\n",
       ".btn-default:active:focus,\n",
       ".btn-default.active:focus,\n",
       ".btn-default:active.focus,\n",
       ".btn-default.active.focus,\n",
       ".open > .dropdown-toggle.btn:focus,\n",
       ".open > .dropdown-toggle.btn.focus,\n",
       ".open > .dropdown-toggle.btn-default {\n",
       " color: #1c1c1c;\n",
       " background-color: #e4e4e4;\n",
       " background: #e4e4e4;\n",
       " border-color: #e4e4e4;\n",
       " background-image: none;\n",
       " box-shadow: none !important;\n",
       " border-radius: 1px;\n",
       "}\n",
       ".item_buttons > .btn,\n",
       ".item_buttons > .btn-group,\n",
       ".item_buttons > .input-group {\n",
       " margin-left: 5px;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 1px solid #eeeeee;\n",
       "}\n",
       ".item_buttons > .btn:hover,\n",
       ".item_buttons > .btn-group:hover,\n",
       ".item_buttons > .input-group:hover {\n",
       " margin-left: 5px;\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border: 1px solid #e9e9e9;\n",
       "}\n",
       ".btn-group > .btn-mini,\n",
       ".btn-sm,\n",
       ".btn-group-sm > .btn,\n",
       ".btn-xs,\n",
       ".btn-group-xs > .btn,\n",
       ".alternate_upload .btn-upload,\n",
       ".btn-group,\n",
       ".btn-group-vertical {\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       "}\n",
       ".btn-xs,\n",
       ".btn-group-xs > .btn {\n",
       " font-size: 12.0pt;\n",
       " background-image: none;\n",
       " font-weight: normal;\n",
       " text-shadow: none;\n",
       " display: inline-table;\n",
       "}\n",
       ".btn-group > .btn:first-child {\n",
       " margin-left: 3px;\n",
       "}\n",
       ".alternate_upload .btn-upload {\n",
       " display: none;\n",
       "}\n",
       "button.close {\n",
       " border: 0px none;\n",
       " font-family: sans-serif;\n",
       " font-size: 25pt;\n",
       "}\n",
       ".dynamic-buttons {\n",
       " font-size: inherit;\n",
       " padding-top: 0px;\n",
       " display: inline-block;\n",
       "}\n",
       ".close {\n",
       " color: #de143d;\n",
       " opacity: .5;\n",
       " text-shadow: none;\n",
       "}\n",
       ".close:hover {\n",
       " color: #de143d;\n",
       " opacity: 1;\n",
       "}\n",
       "div.btn.btn-default.output_collapsed {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: #eeeeee;\n",
       "}\n",
       "div.btn.btn-default.output_collapsed:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border-color: #e9e9e9;\n",
       "}\n",
       "div.nbext-enable-btns .btn[disabled],\n",
       "div.nbext-enable-btns .btn[disabled]:hover,\n",
       ".btn-default.disabled,\n",
       ".btn-default[disabled],\n",
       ".btn-default.disabled:hover,\n",
       ".btn-default[disabled]:hover,\n",
       "fieldset[disabled] .btn-default:hover,\n",
       ".btn-default.disabled:focus,\n",
       ".btn-default[disabled]:focus,\n",
       "fieldset[disabled] .btn-default:focus,\n",
       ".btn-default.disabled.focus,\n",
       ".btn-default[disabled].focus,\n",
       "fieldset[disabled] .btn-default.focus {\n",
       " color: #4a4a4a;\n",
       " background: #e8e8e8;\n",
       " background-color: #e8e8e8;\n",
       " border-color: #e8e8e8;\n",
       "}\n",
       ".input-group-addon {\n",
       " padding: 2px 5px;\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       " height: auto;\n",
       " color: #303030;\n",
       " text-align: center;\n",
       " background-color: #ffffff;\n",
       " border: none;\n",
       "}\n",
       ".btn-group > .btn + .dropdown-toggle {\n",
       " padding-left: 8px;\n",
       " padding-right: 8px;\n",
       " height: 100%;\n",
       " border-left: 2px solid #ff7823 !important;\n",
       "}\n",
       ".btn-group > .btn + .dropdown-toggle:hover {\n",
       " border-left: 2px solid #ff7823 !important;\n",
       "}\n",
       ".input-group-btn {\n",
       " position: relative;\n",
       " font-size: inherit;\n",
       " white-space: nowrap;\n",
       "}\n",
       ".input-group-btn:first-child > .btn,\n",
       ".input-group-btn:first-child > .btn-group {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 1px solid #ebebeb;\n",
       " margin: 2px;\n",
       " font-size: inherit;\n",
       "}\n",
       ".input-group-btn:first-child > .btn:hover,\n",
       ".input-group-btn:first-child > .btn-group:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border: 1px solid #e9e9e9;\n",
       " margin: 2px;\n",
       " font-size: inherit;\n",
       "}\n",
       "div.modal .btn-group > .btn:first-child {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 1px solid #ebebeb;\n",
       " margin-top: 0px !important;\n",
       " margin-left: 0px;\n",
       " margin-bottom: 2px;\n",
       "}\n",
       "div.modal .btn-group > .btn:first-child:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border: 1px solid #e9e9e9;\n",
       "}\n",
       "div.modal > button,\n",
       "div.modal-footer > button {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: #eeeeee;\n",
       "}\n",
       "div.modal > button:hover,\n",
       "div.modal-footer > button:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border-color: #e9e9e9;\n",
       "}\n",
       ".modal-content {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " position: relative;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: none;\n",
       " border-radius: 1px;\n",
       " background-clip: padding-box;\n",
       " outline: none;\n",
       "}\n",
       ".modal-header {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " color: #303030;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: rgba(180,180,180,.30);\n",
       " padding: 12px;\n",
       " min-height: 16.4286px;\n",
       "}\n",
       ".modal-content h4 {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 16pt;\n",
       " color: #303030;\n",
       " padding: 5px;\n",
       "}\n",
       ".modal-body {\n",
       " background-color: #ffffff;\n",
       " position: relative;\n",
       " padding: 15px;\n",
       "}\n",
       ".modal-footer {\n",
       " padding: 10px;\n",
       " text-align: right;\n",
       " background-color: #fafafa;\n",
       " border-top: 1px solid rgba(180,180,180,.30);\n",
       "}\n",
       ".alert-info {\n",
       " background-color: #fdfdfd;\n",
       " border-color: rgba(180,180,180,.30);\n",
       " color: #303030;\n",
       "}\n",
       ".modal-header .close {\n",
       " margin-top: -5px;\n",
       " font-size: 25pt;\n",
       "}\n",
       ".modal-backdrop,\n",
       ".modal-backdrop.in {\n",
       " opacity: 0.85;\n",
       " background-color: #d6d6d6;\n",
       "}\n",
       "div.panel,\n",
       "div.panel-default,\n",
       ".panel,\n",
       ".panel-default {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " background-color: #fafafa;\n",
       " color: #303030;\n",
       " margin-bottom: 14px;\n",
       " border: 0;\n",
       " box-shadow: none;\n",
       "}\n",
       "div.panel > .panel-heading,\n",
       "div.panel-default > .panel-heading {\n",
       " font-size: 14pt;\n",
       " color: #303030;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 0;\n",
       "}\n",
       ".modal .modal-dialog {\n",
       " min-width: 950px;\n",
       " margin: 50px auto;\n",
       "}\n",
       "div.container-fluid {\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       " padding-left: 7px;\n",
       " padding-right: 12px;\n",
       "}\n",
       "div.form-control,\n",
       ".form-control {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: inherit;\n",
       " color: #303030;\n",
       " background-color: #ffffff;\n",
       " border: 2px solid #e7e7e7;\n",
       " margin-left: 2px;\n",
       " height: auto;\n",
       " box-shadow: none;\n",
       " padding: 6px 12px;\n",
       " transition: border-color 0.15s ease-in-out 0s, box-shadow 0.15s ease-in-out 0s;\n",
       "}\n",
       ".form-group.list-group-item {\n",
       " color: #303030;\n",
       " background-color: #fafafa;\n",
       " border-color: rgba(180,180,180,.30);\n",
       " margin-bottom: 0px;\n",
       "}\n",
       "input,\n",
       "button,\n",
       "select,\n",
       "textarea {\n",
       " background-color: #ffffff;\n",
       " font-weight: normal;\n",
       " border: 1px solid rgba(180,180,180,.30);\n",
       "}\n",
       "select.form-control.select-xs {\n",
       " height: auto;\n",
       "}\n",
       "div.output.output_scroll {\n",
       " box-shadow: none;\n",
       "}\n",
       "::-webkit-scrollbar-track {\n",
       " -webkit-box-shadow: inset 0 0 6px rgba(0,0,0,0.11);\n",
       " background-color: #d0d0d0;\n",
       " border-radius: 6px;\n",
       "}\n",
       "::-webkit-scrollbar {\n",
       " width: 14px;\n",
       " height: 20px;\n",
       " background-color: #d0d0d0;\n",
       " border-radius: 6px;\n",
       "}\n",
       "::-webkit-scrollbar-thumb {\n",
       " background-color: #ffffff;\n",
       " background-image: -webkit-gradient(linear,40% 0%,75% 86%,from(#ff6b0f ),color-stop(0.5,#ff8b42 ),to(#ff6b0f ));\n",
       " min-height: 100px;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.input_area {\n",
       " background-color: #efefef;\n",
       " padding-right: 1.2em;\n",
       " border: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-top-right-radius: 2px;\n",
       " border-bottom-left-radius: 0px;\n",
       " border-bottom-right-radius: 0px;\n",
       "}\n",
       "div.cell {\n",
       " padding: 0px;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: medium solid #ffffff;\n",
       " border-top-right-radius: 2px;\n",
       " border-top-left-radius: 2px;\n",
       "}\n",
       "div.cell.selected {\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: medium solid #ff7823;\n",
       " padding: 0px;\n",
       " border-top-right-radius: 2px;\n",
       " border-top-left-radius: 2px;\n",
       "}\n",
       ".edit_mode div.cell.selected {\n",
       " padding: 0px;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: medium solid #ffd5bb;\n",
       " border-top-right-radius: 2px;\n",
       " border-top-left-radius: 2px;\n",
       "}\n",
       "div.cell.edit_mode {\n",
       " padding: 0px;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: medium solid #ffd5bb;\n",
       " border-top-right-radius: 2px;\n",
       " border-top-left-radius: 2px;\n",
       "}\n",
       "div.prompt,\n",
       ".prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " font-weight: normal;\n",
       " color: #aaaaaa;\n",
       " line-height: 170%;\n",
       " padding: 0px;\n",
       " padding-top: 4px;\n",
       " padding-left: .25em;\n",
       " text-align: left !important;\n",
       " min-width: 12ex;\n",
       " width: 12ex;\n",
       "}\n",
       "div.prompt.input_prompt {\n",
       " background-color: #efefef;\n",
       " border-right: 2px solid rgba(240,147,43,.50);\n",
       " border-top-left-radius: 2px;\n",
       " border-top-right-radius: 0px;\n",
       " border-bottom-left-radius: 0px;\n",
       " border-bottom-right-radius: 0px;\n",
       " min-width: 12ex;\n",
       " width: 12ex !important;\n",
       "}\n",
       "div.output_wrapper {\n",
       " background-color: #ffffff;\n",
       " border: 0px;\n",
       " margin-bottom: 0em;\n",
       " margin-top: 0em;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-bottom-right-radius: 2px;\n",
       "}\n",
       "div.output_subarea.output_text.output_stream.output_stdout,\n",
       "div.output_subarea.output_text {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 10.0pt;\n",
       " line-height: 150% !important;\n",
       " background-color: #ffffff;\n",
       " color: #303030;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-bottom-right-radius: 2px;\n",
       "}\n",
       "div.output_area pre {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 10.0pt;\n",
       " line-height: 150% !important;\n",
       " color: #303030;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-bottom-right-radius: 2px;\n",
       "}\n",
       "div.output_area {\n",
       " display: -webkit-box;\n",
       "}\n",
       "div.output_html {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 10.0pt;\n",
       " color: #353535;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       "}\n",
       "div.output_subarea {\n",
       " overflow-x: auto;\n",
       " padding: .8em;\n",
       " -webkit-box-flex: 1;\n",
       " -moz-box-flex: 1;\n",
       " box-flex: 1;\n",
       " flex: 1;\n",
       " max-width: 90%;\n",
       "}\n",
       "div.prompt.output_prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " background-color: #ffffff;\n",
       " color: #ffffff;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-right-radius: 0px;\n",
       " min-width: 12ex;\n",
       " width: 12ex;\n",
       "}\n",
       "div.out_prompt_overlay.prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " background-color: #ffffff;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-right-radius: 0px;\n",
       " min-width: 12ex;\n",
       " width: 12ex;\n",
       "}\n",
       "div.out_prompt_overlay.prompt:hover {\n",
       " background-color: #ffffff;\n",
       " box-shadow: #e8e8e8 2px 1px 2px 2.5px inset;\n",
       " border-bottom-left-radius: 2px;\n",
       " -webkit-border-: 2px;\n",
       " -moz-border-radius: 2px;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " min-width: 12ex;\n",
       " width: 12ex !important;\n",
       "}\n",
       "div.text_cell,\n",
       "div.text_cell_render pre,\n",
       "div.text_cell_render {\n",
       " font-family: \"Lora\", serif;\n",
       " font-size: 20pt;\n",
       " line-height: 170% !important;\n",
       " color: #353535;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border-radius: 2px;\n",
       " min-height: 500px;\n",
       "}\n",
       "div.cell.text_cell.rendered.selected {\n",
       " font-family: \"Lora\", serif;\n",
       " border: medium solid #126dce;\n",
       " line-height: 170% !important;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border-radius: 2px;\n",
       " \n",
       "}\n",
       "div.cell.text_cell.unrendered.selected {\n",
       " font-family: \"Lora\", serif;\n",
       " line-height: 170% !important;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border: medium solid #126dce;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.cell.text_cell.selected {\n",
       " font-family: \"Lora\", serif;\n",
       " line-height: 170% !important;\n",
       " border: medium solid #126dce;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border-radius: 2px;\n",
       "}\n",
       ".edit_mode div.cell.text_cell.selected {\n",
       " font-family: \"Lora\", serif;\n",
       " line-height: 170% !important;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border: medium solid #87b0db;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.text_cell.unrendered,\n",
       "div.text_cell.unrendered.selected,\n",
       "div.edit_mode div.text_cell.unrendered {\n",
       " font-family: \"Lora\", serif;\n",
       " line-height: 170% !important;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.cell.text_cell.rendered .input_prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " font-weight: normal;\n",
       " color: #aaaaaa;\n",
       " text-align: left !important;\n",
       " min-width: 0ex;\n",
       " width: 0ex !important;\n",
       " background-color: #ffffff;\n",
       " border-right: 2px solid transparent;\n",
       "}\n",
       "div.cell.text_cell.unrendered .input_prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " font-weight: normal;\n",
       " color: #aaaaaa;\n",
       " text-align: left !important;\n",
       " min-width: 0ex;\n",
       " width: 0ex !important;\n",
       " border-right: 2px solid transparent;\n",
       "}\n",
       "div.rendered_html code {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " padding-top: 3px;\n",
       " color: #303030;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       "}\n",
       "pre,\n",
       "code,\n",
       "kbd,\n",
       "samp {\n",
       " white-space: pre-wrap;\n",
       "}\n",
       "code {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt !important;\n",
       " line-height: 170% !important;\n",
       " color: #353535;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       "}\n",
       "kbd {\n",
       " padding: 4px;\n",
       " font-size: 11pt;\n",
       " color: #303030;\n",
       " background-color: #efefef;\n",
       " border: 0;\n",
       " box-shadow: none;\n",
       "}\n",
       "pre {\n",
       " display: block;\n",
       " padding: 8.5px;\n",
       " margin: 0 0 9px;\n",
       " font-size: 12.0pt;\n",
       " line-height: 1.42857143;\n",
       " color: #303030;\n",
       " background-color: #efefef;\n",
       " border: 1px solid #e7e7e7;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.rendered_html {\n",
       " color: #353535;\n",
       "}\n",
       "div.rendered_html pre,\n",
       "div.text_cell_render pre {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt !important;\n",
       " line-height: 170% !important;\n",
       " color: #353535;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: 2px #e7e7e7 solid;\n",
       " max-width: 86%;\n",
       " border-radius: 2px;\n",
       " padding: 5px;\n",
       " min-height: 1px;\n",
       "}\n",
       "div.text_cell_render h1,\n",
       "div.rendered_html h1,\n",
       "div.text_cell_render h2,\n",
       "div.rendered_html h2,\n",
       "div.text_cell_render h3,\n",
       "div.rendered_html h3,\n",
       "div.text_cell_render h4,\n",
       "div.rendered_html h4,\n",
       "div.text_cell_render h5,\n",
       "div.rendered_html h5 {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       "}\n",
       ".rendered_html h1:first-child,\n",
       ".rendered_html h2:first-child,\n",
       ".rendered_html h3:first-child,\n",
       ".rendered_html h4:first-child,\n",
       ".rendered_html h5:first-child,\n",
       ".rendered_html h6:first-child {\n",
       " margin-top: 0.2em;\n",
       "}\n",
       ".rendered_html h1,\n",
       ".text_cell_render h1 {\n",
       " color: #126dce;\n",
       " font-size: 220%;\n",
       " text-align: center;\n",
       " font-weight: lighter;\n",
       "}\n",
       ".rendered_html h2,\n",
       ".text_cell_render h2 {\n",
       " text-align: left;\n",
       " font-size: 170%;\n",
       " color: #126dce;\n",
       " font-style: normal;\n",
       " font-weight: lighter;\n",
       "}\n",
       ".rendered_html h3,\n",
       ".text_cell_render h3 {\n",
       " font-size: 150%;\n",
       " color: #126dce;\n",
       " font-weight: lighter;\n",
       " text-decoration: italic;\n",
       " font-style: normal;\n",
       "}\n",
       ".rendered_html h4,\n",
       ".text_cell_render h4 {\n",
       " font-size: 120%;\n",
       " color: #126dce;\n",
       " font-weight: underline;\n",
       " font-style: normal;\n",
       "}\n",
       ".rendered_html h5,\n",
       ".text_cell_render h5 {\n",
       " font-size: 100%;\n",
       " color: #2f2f2f;\n",
       " font-weight: lighter;\n",
       " text-decoration: underline;\n",
       "}\n",
       ".rendered_html table,\n",
       ".rendered_html tr,\n",
       ".rendered_html td {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 10.0pt !important;\n",
       " line-height: 150% !important;\n",
       " border: 1px solid #d6d6d6;\n",
       " color: #353535;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       "}\n",
       "table.dataframe,\n",
       ".rendered_html tr,\n",
       ".dataframe * {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 10.0pt !important;\n",
       " border: 1px solid #d6d6d6;\n",
       "}\n",
       ".dataframe th,\n",
       ".rendered_html th {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 11pt !important;\n",
       " font-weight: bold;\n",
       " border: 1px solid #c4c4c4;\n",
       " background: #eeeeee;\n",
       "}\n",
       ".dataframe td,\n",
       ".rendered_html td {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 10.0pt !important;\n",
       " color: #353535;\n",
       " background: #ffffff;\n",
       " border: 1px solid #d6d6d6;\n",
       " text-align: left;\n",
       " min-width: 4em;\n",
       "}\n",
       ".dataframe-summary-row tr:last-child,\n",
       ".dataframe-summary-col td:last-child {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 11pt !important;\n",
       " font-weight: bold;\n",
       " color: #353535;\n",
       " border: 1px solid #d6d6d6;\n",
       " background: #eeeeee;\n",
       "}\n",
       "div.widget-area {\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       " color: #303030;\n",
       "}\n",
       "div.widget-area a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       " color: #303030;\n",
       " text-shadow: none !important;\n",
       "}\n",
       "div.widget-area a:hover,\n",
       "div.widget-area a:focus {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       " color: #2f2f2f;\n",
       " background: rgba(180,180,180,.14);\n",
       " background-color: rgba(180,180,180,.14);\n",
       " border-color: transparent;\n",
       " background-image: none;\n",
       " text-shadow: none !important;\n",
       "}\n",
       "div.widget_item.btn-group > button.btn.btn-default.widget-combo-btn,\n",
       "div.widget_item.btn-group > button.btn.btn-default.widget-combo-btn:hover {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 2px solid #eeeeee !important;\n",
       " font-size: inherit;\n",
       " z-index: 0;\n",
       "}\n",
       "div.jupyter-widgets.widget-hprogress.widget-hbox,\n",
       "div.widget-hbox,\n",
       ".widget-hbox {\n",
       " display: inline-table;\n",
       "}\n",
       "div.jupyter-widgets.widget-hprogress.widget-hbox .widget-label,\n",
       "div.widget-hbox .widget-label,\n",
       ".widget-hbox .widget-label {\n",
       " font-size: 11pt;\n",
       " min-width: 100%;\n",
       " padding-top: 5px;\n",
       " padding-right: 10px;\n",
       " text-align: left;\n",
       " vertical-align: text-top;\n",
       "}\n",
       ".progress {\n",
       " overflow: hidden;\n",
       " height: 20px;\n",
       " margin-bottom: 10px;\n",
       " padding-left: 10px;\n",
       " background-color: #c6c6c6;\n",
       " border-radius: 4px;\n",
       " -webkit-box-shadow: none;\n",
       " box-shadow: none;\n",
       "}\n",
       ".rendered_html :link {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 100%;\n",
       " color: #2c85f7;\n",
       " text-decoration: underline;\n",
       "}\n",
       ".rendered_html :visited,\n",
       ".rendered_html :visited:active,\n",
       ".rendered_html :visited:focus {\n",
       " color: #2e6eb2;\n",
       "}\n",
       ".rendered_html :visited:hover,\n",
       ".rendered_html :link:hover {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 100%;\n",
       " color: #eb6a18;\n",
       "}\n",
       "a.anchor-link:link:hover {\n",
       " font-size: inherit;\n",
       " color: #eb6a18;\n",
       "}\n",
       "a.anchor-link:link {\n",
       " font-size: inherit;\n",
       " text-decoration: none;\n",
       " padding: 0px 20px;\n",
       " visibility: none;\n",
       " color: #126dce;\n",
       "}\n",
       ".navbar-text {\n",
       " margin-top: 4px;\n",
       " margin-bottom: 0px;\n",
       "}\n",
       "div#nbextensions-configurator-container.container,\n",
       "#nbextensions-configurator-container.container {\n",
       " width: 100%;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       "}\n",
       "div.nbext-selector > nav > .nav > li > a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12pt;\n",
       "}\n",
       "div.nbext-readme > .nbext-readme-contents > .rendered_html {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12pt;\n",
       " line-height: 145%;\n",
       " padding: 1em 1em;\n",
       " color: #353535;\n",
       " background-color: #ffffff;\n",
       " -webkit-box-shadow: none;\n",
       " -moz-box-shadow: none;\n",
       " box-shadow: none;\n",
       "}\n",
       ".nbext-icon,\n",
       ".nbext-desc,\n",
       ".nbext-compat-div,\n",
       ".nbext-enable-btns,\n",
       ".nbext-params {\n",
       " margin-bottom: 8px;\n",
       " font-size: 12pt;\n",
       "}\n",
       "div.nbext-readme > .nbext-readme-contents {\n",
       " padding: 0;\n",
       " overflow-y: hidden;\n",
       "}\n",
       "div.nbext-readme > .nbext-readme-contents:not(:empty) {\n",
       " margin-top: 0.5em;\n",
       " margin-bottom: 2em;\n",
       " border: none;\n",
       " border-top-color: rgba(180,180,180,.30);\n",
       "}\n",
       ".nbext-showhide-incompat {\n",
       " padding-bottom: 0.5em;\n",
       " color: #4a4a4a;\n",
       " font-size: 12.0pt;\n",
       "}\n",
       ".shortcut_key,\n",
       "span.shortcut_key {\n",
       " display: inline-block;\n",
       " width: 16ex;\n",
       " text-align: right;\n",
       " font-family: monospace;\n",
       "}\n",
       "mark,\n",
       ".mark {\n",
       " background-color: #ffffff;\n",
       " color: #353535;\n",
       " padding: .15em;\n",
       "}\n",
       "a.text-warning,\n",
       "a.text-warning:hover {\n",
       " color: #aaaaaa;\n",
       "}\n",
       "a.text-warning.bg-warning {\n",
       " background-color: #ffffff;\n",
       "}\n",
       "span.bg-success.text-success {\n",
       " background-color: transparent;\n",
       " color: #009e07;\n",
       "}\n",
       "span.bg-danger.text-danger {\n",
       " background-color: #ffffff;\n",
       " color: #de143d;\n",
       "}\n",
       ".has-success .input-group-addon {\n",
       " color: #009e07;\n",
       " border-color: transparent;\n",
       " background: inherit;\n",
       " background-color: rgba(83,180,115,.10);\n",
       "}\n",
       ".has-success .form-control {\n",
       " border-color: #009e07;\n",
       " -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,0.025);\n",
       " box-shadow: inset 0 1px 1px rgba(0,0,0,0.025);\n",
       "}\n",
       ".has-error .input-group-addon {\n",
       " color: #de143d;\n",
       " border-color: transparent;\n",
       " background: inherit;\n",
       " background-color: rgba(192,57,67,.10);\n",
       "}\n",
       ".has-error .form-control {\n",
       " border-color: #de143d;\n",
       " -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,0.025);\n",
       " box-shadow: inset 0 1px 1px rgba(0,0,0,0.025);\n",
       "}\n",
       ".kse-input-group-pretty > kbd {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " color: #303030;\n",
       " font-weight: normal;\n",
       " background: transparent;\n",
       "}\n",
       ".kse-input-group-pretty > kbd {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " color: #303030;\n",
       " font-weight: normal;\n",
       " background: transparent;\n",
       "}\n",
       "div.nbext-enable-btns .btn[disabled],\n",
       "div.nbext-enable-btns .btn[disabled]:hover,\n",
       ".btn-default.disabled,\n",
       ".btn-default[disabled] {\n",
       " background: #e8e8e8;\n",
       " background-color: #e8e8e8;\n",
       " color: #282828;\n",
       "}\n",
       "label#Keyword-Filter {\n",
       " display: none;\n",
       "}\n",
       ".nav-pills > li.active > a,\n",
       ".nav-pills > li.active > a:hover,\n",
       ".nav-pills > li.active > a:focus {\n",
       " color: #ffffff;\n",
       " background-color: #126dce;\n",
       "}\n",
       ".input-group .nbext-list-btn-add,\n",
       ".input-group-btn:last-child > .btn-group > .btn {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: #eeeeee;\n",
       "}\n",
       ".input-group .nbext-list-btn-add:hover,\n",
       ".input-group-btn:last-child > .btn-group > .btn:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border-color: #e9e9e9;\n",
       "}\n",
       "#notebook-container > div.cell.code_cell.rendered.selected > div.widget-area > div.widget-subarea > div > div.widget_item.btn-group > button.btn.btn-default.dropdown-toggle.widget-combo-carrot-btn {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: #eeeeee;\n",
       "}\n",
       "#notebook-container > div.cell.code_cell.rendered.selected > div.widget-area > div.widget-subarea > div > div.widget_item.btn-group > button.btn.btn-default.dropdown-toggle.widget-combo-carrot-btn:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border-color: #e9e9e9;\n",
       "}\n",
       "input.raw_input {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt !important;\n",
       " color: #303030;\n",
       " background-color: #efefef;\n",
       " border-color: #ececec;\n",
       " background: #ececec;\n",
       " width: auto;\n",
       " vertical-align: baseline;\n",
       " padding: 0em 0.25em;\n",
       " margin: 0em 0.25em;\n",
       " -webkit-box-shadow: none;\n",
       " box-shadow: none;\n",
       "}\n",
       "audio,\n",
       "video {\n",
       " display: inline;\n",
       " vertical-align: middle;\n",
       " align-content: center;\n",
       " margin-left: 20%;\n",
       "}\n",
       ".cmd-palette .modal-body {\n",
       " padding: 0px;\n",
       " margin: 0px;\n",
       "}\n",
       ".cmd-palette form {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       "}\n",
       ".typeahead-field input:last-child,\n",
       ".typeahead-hint {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " z-index: 1;\n",
       "}\n",
       ".typeahead-field input {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " color: #303030;\n",
       " border: none;\n",
       " font-size: 28pt;\n",
       " display: inline-block;\n",
       " line-height: inherit;\n",
       " padding: 3px 10px;\n",
       " height: 70px;\n",
       "}\n",
       ".typeahead-select {\n",
       " background-color: #eeeeee;\n",
       "}\n",
       "body > div.modal.cmd-palette.typeahead-field {\n",
       " display: table;\n",
       " border-collapse: separate;\n",
       " background-color: #fafafa;\n",
       "}\n",
       ".typeahead-container button {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 28pt;\n",
       " background-color: #d0d0d0;\n",
       " border: none;\n",
       " display: inline-block;\n",
       " line-height: inherit;\n",
       " padding: 3px 10px;\n",
       " height: 70px;\n",
       "}\n",
       ".typeahead-search-icon {\n",
       " min-width: 40px;\n",
       " min-height: 55px;\n",
       " display: block;\n",
       " vertical-align: middle;\n",
       " text-align: center;\n",
       "}\n",
       ".typeahead-container button:focus,\n",
       ".typeahead-container button:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: #ff7823;\n",
       " border-color: #ff7823;\n",
       "}\n",
       ".typeahead-list > li.typeahead-group.active > a,\n",
       ".typeahead-list > li.typeahead-group > a,\n",
       ".typeahead-list > li.typeahead-group > a:focus,\n",
       ".typeahead-list > li.typeahead-group > a:hover {\n",
       " display: none;\n",
       "}\n",
       ".typeahead-dropdown > li > a,\n",
       ".typeahead-list > li > a {\n",
       " color: #303030;\n",
       " text-decoration: none;\n",
       "}\n",
       ".typeahead-dropdown,\n",
       ".typeahead-list {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " color: #303030;\n",
       " background-color: #ffffff;\n",
       " border: none;\n",
       " background-clip: padding-box;\n",
       " margin-top: 0px;\n",
       " padding: 3px 2px 3px 0px;\n",
       " line-height: 1.7;\n",
       "}\n",
       ".typeahead-dropdown > li.active > a,\n",
       ".typeahead-dropdown > li > a:focus,\n",
       ".typeahead-dropdown > li > a:hover,\n",
       ".typeahead-list > li.active > a,\n",
       ".typeahead-list > li > a:focus,\n",
       ".typeahead-list > li > a:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: #fafafa;\n",
       " border-color: #fafafa;\n",
       "}\n",
       ".command-shortcut:before {\n",
       " content: \"(command)\";\n",
       " padding-right: 3px;\n",
       " color: #aaaaaa;\n",
       "}\n",
       ".edit-shortcut:before {\n",
       " content: \"(edit)\";\n",
       " padding-right: 3px;\n",
       " color: #aaaaaa;\n",
       "}\n",
       "ul.typeahead-list i {\n",
       " margin-left: 1px;\n",
       " width: 18px;\n",
       " margin-right: 10px;\n",
       "}\n",
       "ul.typeahead-list {\n",
       " max-height: 50vh;\n",
       " overflow: auto;\n",
       "}\n",
       ".typeahead-list > li {\n",
       " position: relative;\n",
       " border: none;\n",
       "}\n",
       "div.input.typeahead-hint,\n",
       "input.typeahead-hint,\n",
       "body > div.modal.cmd-palette.in > div > div > div > form > div > div.typeahead-field > span.typeahead-query > input.typeahead-hint {\n",
       " color: #aaaaaa !important;\n",
       " background-color: transparent;\n",
       " padding: 3px 10px;\n",
       "}\n",
       ".typeahead-dropdown > li > a,\n",
       ".typeahead-list > li > a {\n",
       " display: block;\n",
       " padding: 5px;\n",
       " clear: both;\n",
       " font-weight: 400;\n",
       " line-height: 1.7;\n",
       " border: 1px solid #ffffff;\n",
       " border-bottom-color: rgba(180,180,180,.30);\n",
       "}\n",
       "body > div.modal.cmd-palette.in > div {\n",
       " min-width: 750px;\n",
       " margin: 150px auto;\n",
       "}\n",
       ".typeahead-container strong {\n",
       " font-weight: bolder;\n",
       " color: #ff7823;\n",
       "}\n",
       "#find-and-replace #replace-preview .match,\n",
       "#find-and-replace #replace-preview .insert {\n",
       " color: #ffffff;\n",
       " background-color: #ff7823;\n",
       " border-color: #ff7823;\n",
       " border-style: solid;\n",
       " border-width: 1px;\n",
       " border-radius: 0px;\n",
       "}\n",
       "#find-and-replace #replace-preview .replace .match {\n",
       " background-color: #de143d;\n",
       " border-color: #de143d;\n",
       " border-radius: 0px;\n",
       "}\n",
       "#find-and-replace #replace-preview .replace .insert {\n",
       " background-color: #009e07;\n",
       " border-color: #009e07;\n",
       " border-radius: 0px;\n",
       "}\n",
       "div.CodeMirror,\n",
       "div.CodeMirror pre {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " line-height: 170%;\n",
       " color: #303030;\n",
       "}\n",
       "div.CodeMirror-lines {\n",
       " padding-bottom: .6em;\n",
       " padding-left: .5em;\n",
       " padding-right: 1.5em;\n",
       " padding-top: 4px;\n",
       "}\n",
       "span.ansiblack {\n",
       " color: #dc4384;\n",
       "}\n",
       "span.ansiblue {\n",
       " color: #009e07;\n",
       "}\n",
       "span.ansigray {\n",
       " color: #ff7823;\n",
       "}\n",
       "span.ansigreen {\n",
       " color: #333333;\n",
       "}\n",
       "span.ansipurple {\n",
       " color: #653bc5;\n",
       "}\n",
       "span.ansicyan {\n",
       " color: #055be0;\n",
       "}\n",
       "span.ansiyellow {\n",
       " color: #ff7823;\n",
       "}\n",
       "span.ansired {\n",
       " color: #de143d;\n",
       "}\n",
       "div.output-stderr {\n",
       " background-color: #ebb5b7;\n",
       "}\n",
       "div.output-stderr pre {\n",
       " color: #000000;\n",
       "}\n",
       "div.js-error {\n",
       " color: #de143d;\n",
       "}\n",
       ".ipython_tooltip {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " line-height: 170%;\n",
       " border: 2px solid #dadada;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-radius: 2px;\n",
       " overflow-x: visible;\n",
       " overflow-y: visible;\n",
       " box-shadow: none;\n",
       " position: absolute;\n",
       " z-index: 1000;\n",
       "}\n",
       ".ipython_tooltip .tooltiptext pre {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " line-height: 170%;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " color: #303030;\n",
       " overflow-x: visible;\n",
       " overflow-y: visible;\n",
       " max-width: 900px;\n",
       "}\n",
       "div#tooltip.ipython_tooltip {\n",
       " overflow-x: wrap;\n",
       " overflow-y: visible;\n",
       " max-width: 800px;\n",
       "}\n",
       "div.tooltiptext.bigtooltip {\n",
       " overflow-x: visible;\n",
       " overflow-y: scroll;\n",
       " height: 400px;\n",
       " max-width: 800px;\n",
       "}\n",
       ".cm-s-ipython.CodeMirror {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " background: #efefef;\n",
       " color: #303030;\n",
       " border-radius: 2px;\n",
       " font-style: normal;\n",
       " font-weight: normal;\n",
       "}\n",
       ".cm-s-ipython div.CodeMirror-selected {\n",
       " background: #e0e1e3;\n",
       "}\n",
       ".cm-s-ipython .CodeMirror-gutters {\n",
       " background: #e0e1e3;\n",
       " border: none;\n",
       " border-radius: 0px;\n",
       "}\n",
       ".cm-s-ipython .CodeMirror-linenumber {\n",
       " color: #aaaaaa;\n",
       "}\n",
       ".cm-s-ipython .CodeMirror-cursor {\n",
       " border-left: 2px solid #ff711a;\n",
       "}\n",
       ".cm-s-ipython span.cm-comment {\n",
       " color: #8d8d8d;\n",
       " font-style: italic;\n",
       "}\n",
       ".cm-s-ipython span.cm-atom {\n",
       " color: #055be0;\n",
       "}\n",
       ".cm-s-ipython span.cm-number {\n",
       " color: #ff8132;\n",
       "}\n",
       ".cm-s-ipython span.cm-property {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-ipython span.cm-attribute {\n",
       " color: #de143d;\n",
       "}\n",
       ".cm-s-ipython span.cm-keyword {\n",
       " color: #713bc5;\n",
       " font-weight: normal;\n",
       "}\n",
       ".cm-s-ipython span.cm-string {\n",
       " color: #009e07;\n",
       "}\n",
       ".cm-s-ipython span.cm-meta {\n",
       " color: #aa22ff;\n",
       "}\n",
       ".cm-s-ipython span.cm-operator {\n",
       " color: #055be0;\n",
       "}\n",
       ".cm-s-ipython span.cm-builtin {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-ipython span.cm-variable {\n",
       " color: #303030;\n",
       "}\n",
       ".cm-s-ipython span.cm-variable-2 {\n",
       " color: #de143d;\n",
       "}\n",
       ".cm-s-ipython span.cm-variable-3 {\n",
       " color: #aa22ff;\n",
       "}\n",
       ".cm-s-ipython span.cm-def {\n",
       " color: #e22978;\n",
       " font-weight: normal;\n",
       "}\n",
       ".cm-s-ipython span.cm-error {\n",
       " background: rgba(191,97,106,.40);\n",
       "}\n",
       ".cm-s-ipython span.cm-tag {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-ipython span.cm-link {\n",
       " color: #ff7823;\n",
       "}\n",
       ".cm-s-ipython span.cm-storage {\n",
       " color: #055be0;\n",
       "}\n",
       ".cm-s-ipython span.cm-entity {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-ipython span.cm-quote {\n",
       " color: #009e07;\n",
       "}\n",
       "div.CodeMirror span.CodeMirror-matchingbracket {\n",
       " color: #1c1c1c;\n",
       " background-color: rgba(30,112,199,.30);\n",
       "}\n",
       "div.CodeMirror span.CodeMirror-nonmatchingbracket {\n",
       " color: #1c1c1c;\n",
       " background: rgba(191,97,106,.40) !important;\n",
       "}\n",
       "div.cell.text_cell .cm-s-default .cm-header {\n",
       " color: #126dce;\n",
       "}\n",
       "div.cell.text_cell .cm-s-default span.cm-variable-2 {\n",
       " color: #353535;\n",
       "}\n",
       "div.cell.text_cell .cm-s-default span.cm-variable-3 {\n",
       " color: #aa22ff;\n",
       "}\n",
       ".cm-s-default span.cm-comment {\n",
       " color: #8d8d8d;\n",
       "}\n",
       ".cm-s-default .cm-tag {\n",
       " color: #009fb7;\n",
       "}\n",
       ".cm-s-default .cm-builtin {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-default .cm-string {\n",
       " color: #009e07;\n",
       "}\n",
       ".cm-s-default .cm-keyword {\n",
       " color: #713bc5;\n",
       "}\n",
       ".cm-s-default .cm-number {\n",
       " color: #ff8132;\n",
       "}\n",
       ".cm-s-default .cm-error {\n",
       " color: #055be0;\n",
       "}\n",
       ".CodeMirror-cursor {\n",
       " border-left: 2px solid #ff711a;\n",
       " border-right: none;\n",
       " width: 0;\n",
       "}\n",
       ".cm-s-default div.CodeMirror-selected {\n",
       " background: #e0e1e3;\n",
       "}\n",
       ".cm-s-default .cm-selected {\n",
       " background: #e0e1e3;\n",
       "}\n",
       ".completions {\n",
       " position: absolute;\n",
       " z-index: 110;\n",
       " overflow: hidden;\n",
       " border: medium solid #ff7823;\n",
       " line-height: 1;\n",
       "}\n",
       ".completions select {\n",
       " background: #efefef;\n",
       " outline: none;\n",
       " border: none;\n",
       " padding: 0px;\n",
       " margin: 0px;\n",
       " overflow: auto;\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " color: #303030;\n",
       " width: auto;\n",
       "}\n",
       "/**\n",
       "div#maintoolbar {\n",
       "# display: none !important;\n",
       "#}\n",
       "##header-container {\n",
       "# display: none !important;\n",
       "#}\n",
       "**/\n",
       "\n",
       "\n",
       "/**********************************\n",
       " MathJax Settings and Style Script\n",
       "**********************************/\n",
       ".MathJax_Display,\n",
       ".MathJax nobr>span.math>span {\n",
       "    border: 0 !important;\n",
       "    font-size: 110% !important;\n",
       "    text-align: center !important;\n",
       "    margin: 0em !important;\n",
       "}\n",
       "/* Prevents MathJax from jittering */\n",
       "/* cell position when cell is selected */\n",
       ".MathJax:focus, body :focus .MathJax {\n",
       "    display: inline-block !important;\n",
       "}\n",
       "\n",
       "</style>\n",
       "\n",
       "\n",
       "<script>\n",
       "    MathJax.Hub.Config({\n",
       "        \"HTML-CSS\": {\n",
       "            preferredFont: \"TeX\",\n",
       "            availableFonts: [\"STIX\",\"TeX\"],\n",
       "            styles: {\n",
       "                scale: 110,\n",
       "                \".MathJax_Display\": {\n",
       "                    \"font-size\": \"110%\",\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "});\n",
       "\n",
       "$([IPython.events]).on('notebook_loaded.Notebook',function(){\n",
       "    $('#header').hide();\n",
       "    IPython.keyboard_manager.command_shortcuts.add_shortcut('ctrl-`',function (event) {\n",
       "        if (IPython.notebook.mode == 'command') {\n",
       "            $('#header').toggle();\n",
       "            return false;\n",
       "        }\n",
       "        return true;\n",
       "    });\n",
       "});\n",
       "\n",
       "</script>\n",
       "\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.core.display import HTML\n",
    "HTML(open('../custom.css').read())"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}