Plotnine/geom_histogram.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:02:54.951830Z",
     "iopub.status.busy": "2021-03-04T13:02:54.948423Z",
     "iopub.status.idle": "2021-03-04T13:03:00.323714Z",
     "shell.execute_reply": "2021-03-04T13:03:00.325471Z"
    }
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "from plotnine import *\n",
    "from plotnine.data import *\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Histograms\n",
    "\n",
    "Visualise the distribution of a variable by dividing the x-axis into bins and counting the number of observations in each bin. Histograms display the counts with bars.\n",
    "\n",
    "You can define the number of bins (e.g. divide the data five bins) or define the binwidth (e.g. each bin is size 10).\n",
    "\n",
    "Distributions can be visualised as:\n",
    "* count,\n",
    "* normalised count,\n",
    "* density,\n",
    "* normalised density,\n",
    "* scaled density as a percentage."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:00.347605Z",
     "iopub.status.busy": "2021-03-04T13:03:00.345047Z",
     "iopub.status.idle": "2021-03-04T13:03:00.405107Z",
     "shell.execute_reply": "2021-03-04T13:03:00.402714Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>carat</th>\n",
       "      <th>cut</th>\n",
       "      <th>color</th>\n",
       "      <th>clarity</th>\n",
       "      <th>depth</th>\n",
       "      <th>table</th>\n",
       "      <th>price</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.23</td>\n",
       "      <td>Ideal</td>\n",
       "      <td>E</td>\n",
       "      <td>SI2</td>\n",
       "      <td>61.5</td>\n",
       "      <td>55.0</td>\n",
       "      <td>326</td>\n",
       "      <td>3.95</td>\n",
       "      <td>3.98</td>\n",
       "      <td>2.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.21</td>\n",
       "      <td>Premium</td>\n",
       "      <td>E</td>\n",
       "      <td>SI1</td>\n",
       "      <td>59.8</td>\n",
       "      <td>61.0</td>\n",
       "      <td>326</td>\n",
       "      <td>3.89</td>\n",
       "      <td>3.84</td>\n",
       "      <td>2.31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.23</td>\n",
       "      <td>Good</td>\n",
       "      <td>E</td>\n",
       "      <td>VS1</td>\n",
       "      <td>56.9</td>\n",
       "      <td>65.0</td>\n",
       "      <td>327</td>\n",
       "      <td>4.05</td>\n",
       "      <td>4.07</td>\n",
       "      <td>2.31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.29</td>\n",
       "      <td>Premium</td>\n",
       "      <td>I</td>\n",
       "      <td>VS2</td>\n",
       "      <td>62.4</td>\n",
       "      <td>58.0</td>\n",
       "      <td>334</td>\n",
       "      <td>4.20</td>\n",
       "      <td>4.23</td>\n",
       "      <td>2.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.31</td>\n",
       "      <td>Good</td>\n",
       "      <td>J</td>\n",
       "      <td>SI2</td>\n",
       "      <td>63.3</td>\n",
       "      <td>58.0</td>\n",
       "      <td>335</td>\n",
       "      <td>4.34</td>\n",
       "      <td>4.35</td>\n",
       "      <td>2.75</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   carat      cut color clarity  depth  table  price     x     y     z\n",
       "0   0.23    Ideal     E     SI2   61.5   55.0    326  3.95  3.98  2.43\n",
       "1   0.21  Premium     E     SI1   59.8   61.0    326  3.89  3.84  2.31\n",
       "2   0.23     Good     E     VS1   56.9   65.0    327  4.05  4.07  2.31\n",
       "3   0.29  Premium     I     VS2   62.4   58.0    334  4.20  4.23  2.63\n",
       "4   0.31     Good     J     SI2   63.3   58.0    335  4.34  4.35  2.75"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diamonds.head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you create a basic histogram, you will be prompted to define the binwidth or number of bins."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:00.441006Z",
     "iopub.status.busy": "2021-03-04T13:03:00.439123Z",
     "iopub.status.idle": "2021-03-04T13:03:03.878080Z",
     "shell.execute_reply": "2021-03-04T13:03:03.874401Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/user/path/plotnine/stats/stat_bin.py:95: PlotnineWarning: 'stat_bin()' using 'bins = 142'. Pick better value with 'binwidth'.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat')) \n",
    "    + geom_histogram()\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can define the width of the bins, by specifying the `binwidth` inside `geom_histogram()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:03.893299Z",
     "iopub.status.busy": "2021-03-04T13:03:03.890285Z",
     "iopub.status.idle": "2021-03-04T13:03:05.318976Z",
     "shell.execute_reply": "2021-03-04T13:03:05.317163Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat')) \n",
    "    + geom_histogram(binwidth=0.5) # specify the binwidth\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or you can define the number of bins by specifying `bins` inside `geom_histogram()`. Note, the example below uses 10 bins, however you can't see them all because some of the bins are too small to be noticeable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:05.353539Z",
     "iopub.status.busy": "2021-03-04T13:03:05.351618Z",
     "iopub.status.idle": "2021-03-04T13:03:06.843676Z",
     "shell.execute_reply": "2021-03-04T13:03:06.845221Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat')) \n",
    "    + geom_histogram(bins=10) # specify the number of bins\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are different ways to visualise the distribution, you can specify this using the `y` argument within `aes()`. In the example below I'm using the default setting: raw count with `stat(count)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:06.869932Z",
     "iopub.status.busy": "2021-03-04T13:03:06.867779Z",
     "iopub.status.idle": "2021-03-04T13:03:08.127349Z",
     "shell.execute_reply": "2021-03-04T13:03:08.125779Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat',\n",
    "                         y=after_stat('count') # specify each bin is a count\n",
    "                        )) \n",
    "    + geom_histogram(binwidth=0.50)  \n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can normalise the raw count to 1 by using `stat(ncount)`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:08.157367Z",
     "iopub.status.busy": "2021-03-04T13:03:08.155512Z",
     "iopub.status.idle": "2021-03-04T13:03:09.511944Z",
     "shell.execute_reply": "2021-03-04T13:03:09.514460Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat',\n",
    "                         y=after_stat('ncount') # normalise the count to 1\n",
    "                        )) \n",
    "    + geom_histogram(binwidth=0.50)  \n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can display the density of points in a bin, (this is scaled to integrate to 1) by using `stat(density)`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:09.533171Z",
     "iopub.status.busy": "2021-03-04T13:03:09.528065Z",
     "iopub.status.idle": "2021-03-04T13:03:10.964983Z",
     "shell.execute_reply": "2021-03-04T13:03:10.962309Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat',\n",
    "                         y=after_stat('density') # density\n",
    "                        )) \n",
    "    + geom_histogram(binwidth=0.50)  \n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The proportion of bins can be shown, in the example below the `bin=0.5` accounts for about ~55% of the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:11.135347Z",
     "iopub.status.busy": "2021-03-04T13:03:11.133526Z",
     "iopub.status.idle": "2021-03-04T13:03:12.413338Z",
     "shell.execute_reply": "2021-03-04T13:03:12.411172Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat',\n",
    "                         y=after_stat('width*density')) # show proportion\n",
    "          ) \n",
    "    + geom_histogram(binwidth=0.5)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also display counts as percentages by using the `percent_format()` which requires the `mizani.formatters` library:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:12.452793Z",
     "iopub.status.busy": "2021-03-04T13:03:12.450880Z",
     "iopub.status.idle": "2021-03-04T13:03:13.862107Z",
     "shell.execute_reply": "2021-03-04T13:03:13.863759Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from mizani.formatters import percent_format \n",
    "(\n",
    "    ggplot(diamonds, aes(x='carat', y=after_stat('width*density'))) \n",
    "    + geom_histogram(binwidth=0.5)\n",
    "    + scale_y_continuous(labels=percent_format()) # display labels as a percentage\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Instead of using `stat` you can use `stat_bin` defined within `geom_histogram()`, this is useful if you want to layer a few different plots in the one figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:13.881380Z",
     "iopub.status.busy": "2021-03-04T13:03:13.878478Z",
     "iopub.status.idle": "2021-03-04T13:03:16.225197Z",
     "shell.execute_reply": "2021-03-04T13:03:16.223298Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat'))\n",
    "    + geom_histogram(binwidth=0.5, alpha=0.5)\n",
    "    + geom_histogram(binwidth=0.2, alpha=0.5, fill='green')\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also flip the x-y coordinates:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:16.253982Z",
     "iopub.status.busy": "2021-03-04T13:03:16.238917Z",
     "iopub.status.idle": "2021-03-04T13:03:17.747122Z",
     "shell.execute_reply": "2021-03-04T13:03:17.745262Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat', y=after_stat('density'))) \n",
    "    + geom_histogram(binwidth=0.5)\n",
    "    + coord_flip()\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can visualise counts by other variables using `fill` within `aes()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:17.772520Z",
     "iopub.status.busy": "2021-03-04T13:03:17.770732Z",
     "iopub.status.idle": "2021-03-04T13:03:19.598938Z",
     "shell.execute_reply": "2021-03-04T13:03:19.601499Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat', y=after_stat('count'),fill='cut')) \n",
    "    + geom_histogram(binwidth=0.5)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can visualise too-small-to-see bars by transforming the y-axis scaling by using `scale_y_sqrt()` square-root scale or `scale_y_log10()` for a log-scale (similarly use `scale_x_sqrt()` and `scale_x_log10()` to transform the x-axis)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:19.653219Z",
     "iopub.status.busy": "2021-03-04T13:03:19.647807Z",
     "iopub.status.idle": "2021-03-04T13:03:21.152155Z",
     "shell.execute_reply": "2021-03-04T13:03:21.153669Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat', y=after_stat('count'))) \n",
    "    + geom_histogram(binwidth=0.5)\n",
    "    + scale_y_sqrt() # square root scale\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:21.194083Z",
     "iopub.status.busy": "2021-03-04T13:03:21.192208Z",
     "iopub.status.idle": "2021-03-04T13:03:23.463321Z",
     "shell.execute_reply": "2021-03-04T13:03:23.467150Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x = 'carat', y = after_stat('count'))) \n",
    "    + geom_histogram(binwidth = 0.5)\n",
    "    + scale_y_log10() # log scale\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Change the look of your plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:23.520548Z",
     "iopub.status.busy": "2021-03-04T13:03:23.514657Z",
     "iopub.status.idle": "2021-03-04T13:03:25.530011Z",
     "shell.execute_reply": "2021-03-04T13:03:25.528501Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat', y=after_stat('density')))\n",
    "    + geom_histogram(binwidth=0.5,\n",
    "                    fill='green',  # change the fill colour (one colour)\n",
    "                    colour='pink', # change the outline\n",
    "                    size=2,        # change the thickness of the outline\n",
    "                    alpha=0.7      # change the transparency \n",
    "                    )\n",
    "    + theme_xkcd()                 # play with themes (look/arrangement)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another change, this time changing the fill colours manually:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:25.587189Z",
     "iopub.status.busy": "2021-03-04T13:03:25.572075Z",
     "iopub.status.idle": "2021-03-04T13:03:27.963578Z",
     "shell.execute_reply": "2021-03-04T13:03:27.966051Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAq0AAAGwCAYAAACD/FxzAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAA9hAAAPYQGoP6dpAABES0lEQVR4nO3deXxU5cH+/2uW7AEyIQmEAAERBCpawA3qQlFSKxJxAwSVTcTliwvWitRqEMQVihYU+igIiAv9uT1arYol1UegLiitBTcEWZKQEAIhhCwz5/z+iAyJiRAyJzlnmM/79bI9s+TONZObyZUz95zjMk3TFAAAAOBgbrsDAAAAAEdDaQUAAIDjUVoBAADgeJRWAAAAOB6lFQAAAI5HaQUAAIDjUVoBAADgeJRWAAAAOB6lFQAAAI7ntTtAU+3du1fl5eV2xwAAAMcgPj5eSUlJdsdAGLK9tM6bN08ffPCBvN7DURYsWKDU1NSf/Zq9e/dqwYIFqq6ubomIIXG73erbt68+//xzGYZhd5ywlZiYGHwey8rK7I4TtpiP1mA+WoP5aI1wm49RUVG6+eabKa44ZraXVkm65JJLNHbs2Ebfv7y8XNXV1brsssuUkpLSjMms079/f7sjhDWv1yufz6c+ffrI7/fbHSfsMR9Dw3y0FvMxNOE0H3fv3q1XXnlF5eXllFYcM0eU1qZKSUlRhw4d7I5xRIZhqKCgQO3bt5fbzRLipjJNU36/X6mpqXK5XHbHCVvMR2swH63BfLQG8xGRwhGl9Z133tE777yjlJQUDRs2TEOGDLE7EgAAABzE9tI6bNgwTZgwQQkJCfrvf/+rhx9+WAkJCRo4cGCd++Xn5ys/P1+SVFRUpAMHDkiS49dBHcrn9JxOZ5qmDMOQYRjsSQgB89EazEdrMB+twXxEpLC9tHbr1i24fcopp2jo0KH66KOP6pXWRYsWacaMGcHLo0aNkiQVFBS0TNAQFRYW2h0BCGI+wkmYjwAaw/bS+lMul0umada7fvLkycrOzpZUs6d11apVkqT27du3aL5jZRiGCgsLlZaWxpqtEBxas+X1etmTEALmozWYj9ZgPlojnOZjuOxogjPZXlr/7//+T/369VNsbKy++uor/e1vf9P1119f737p6elKT0+XJOXl5Wnt2rWSFDYvdG63O2yyOpFpmsHn0OkvyuGA+Rga5qO1mI+hYT4iUtheWt98800tWLBAhmEoJSVFV199tc4991y7YwEAAMBBbC+tDz30kN0RAAAA4HC8HwMAAADHo7QCAADA8SitAAAAcDxKKwAAAByP0goAAADHs/3oATg2gQMlqty50e4YRxWT0VueBJ/dMQAAwHGC0hpGAgdK9O3UTBkV++2OclTu2FbqPvcHiisAALAEywPCSOXOjWFRWCXJqNgfFnuEAQBAeGBPa5h69UAfFQRa2x2jnvaeUl2a8B+7YwAAgOMMpTVMFQRa64dAst0xAAAAWgTLAwAAAOB4lFYAAAA4HqUVAAAAjkdpBQAAgONRWgEAAOB4lFYAAAA4HqUVAAAAjkdpBQAAgONRWgEAAOB4lFYAAAA4HqUVAAAAjkdpBQAAgONRWgEAAOB4lFYAAAA4HqUVAAAAjkdpBQAAgONRWgEAAOB4lFYAAAA4HqUVAAAAjue1O0BTJSYmyuv1yjRNu6MckWmawZyhZjXl7Mf6U6ZCf8zBsX4cx+k/b6ezcj5GMuajNZiP1gin+ej1hm3tgAOE7ezp27evfD6f/H6/3VGOyufzyTAMGYYR0jgBfyC4bZihj9ccDPfhTAF/wPKfTyAQOPqdcERWzUcwH63AfLROOMxHn89ndwSEsbAtrZ9//rn69Omj1NRUu6MckWEYKi4uVtu2beV2h7Yaw+P1BLfdLnfI4zUHt+twJo/XY9lf1aZpKhAIyOPxyOVyWTJmJLJyPkYy5qM1mI/WCKf5WFRUZHcEhLGwLa1lZWXy+/2O/wfqcrmCOUPN6pKzH+tPuRT6Y643pgXPYySzcj6C+Rgq5qO1wuF5DId3R+Fc/GkLAAAAx6O0AgAAwPEorQAAAHA8SisAAAAcj9IKAAAAx6O0AgAAwPEorQAAAHA8SisAAAAcj9IKAAAAx6O0AgAAwPEorQAAAHA8SisAAAAcj9IKAAAAx6O0AgAAwPEorQAAAHA8SisAAAAcj9IKAAAAx/PaHQBN086fL6O61O4Y9bSLOmB3BAAAcByitIaRQMXhknpZ8vc2Jmmc2nkBAABCwfKAcGLaHeAYhVteAADgWOxpDSOeuNbB7fjeJ8jTKsHGNA0L7D+g8o01e4Fr5wUAAAgFpTVMxXZOV3Rast0x6qkq3BMsrQAAAFZheQAAAAAcj9IKAAAAx6O0AgAAwPEorQAAAHA8SisAAAAcz1GltbS0VGPGjNHvfvc7u6MAAADAQRxVWpcsWaJOnTrZHQMAAAAO45jS+uWXXyovL08XXHCB3VEAAADgMI44uUB1dbUWLVqkqVOn6vvvGz4wfX5+vvLz8yVJRUVFOnDggCTJMIwWy9kUh/JZkdMwD49hmqZM03nnSa2dyTANy34+pmnKMGrGc7lclowZiaycj5GM+WgN5qM1mI+IFI4orS+//LJOPfVUde3a9WdL66JFizRjxozg5VGjRkmSCgoKWiRjqAoLC0Mew1+8J7hdXV0ts7Iy5DGt5q+uDm7vKd6j0lbh8fOJNFbMR8AqzEcAjWF7ac3Ly9P777+vxx9//Ij3mzx5srKzsyXV7GldtWqVJKl9+/bNnjEUhmGosLBQaWlpcrtDW41Rvj9ZZT9uR0VFKTomJvSAFnNFRQW3k9smK96in49pmvL7/fJ6vexJCIGV8zGSMR+twXy0RjjNx3DZ0QRnsr20btq0SSUlJbrhhhskSVVVVaqqqtK1116rhQsXKj4+XpKUnp6u9PR0STVFd+3atZIUNi90brc75Kxu1+Gvd7lcjnxxqp3J7Qr9MR9immbwOXTi4w43VszHSMZ8tBbzMTTMR0QK20vr2WefrX79+gUvf/jhh1q9erXuvfdexcXF2ZgMAAAATmF7aY2JiVFMrbe5ExIS5PF45PP5bEwFAAAAJ7G9tP7U+eefr/PPP9/uGAAAAHAQFhEBAADA8SitAAAAcDxKKwAAAByP0goAAADHo7QCAADA8SitAAAAcDxKKwAAAByP0goAAADHo7QCAADA8SitAAAAcDxKKwAAAByP0goAAADHo7QCAADA8SitAAAAcDxKKwAAAByP0goAAADHo7QCAADA8SitAAAAcDxKKwAAAByP0goAAADHo7QCAADA8SitAAAAcDxKKwAAAByP0goAAADHo7QCAADA8SitAAAAcDxKKwAAAByP0goAAADH89odoKkSExPl9XplmqbdUY7INM1gzlCzmjJrX5Cc+NDrRAz9MQfH+nEcp/+8nc7K+RjJmI/WYD5aI5zmo9cbtrUDDhC2s6dv377y+Xzy+/12Rzkqn88nwzBkGEZI4wT8geC2aRoyzdDGaw61MwX8Act/PoFA4Oh3whFZNR/BfLQC89E64TAffT6f3REQxsK2tH7++efq06ePUlNT7Y5yRIZhqLi4WG3btpXbHdpqDI/XE9x2udxyuZy3uqN2Jo/XY9lf1aZpKhAIyOPxyOVyWTJmJLJyPkYy5qM1mI/WCKf5WFRUZHcEhLGwLa1lZWXy+/2O/wfqcrmCOUPN6pKr9gXJiQ+9TsTQH3O94S14HiOZlfMRzMdQMR+tFQ7PYzi8Owrn4k9bAAAAOF7Y7mmF81Vs/7dlY5kyFfAH5PF66u5xDkFMRm95ElhfBQBAOKC0wlJG9eG3fgqW3WRjkqNzx7ZS97k/UFwBAAgDLA+ApQJl5XZHaDSjYr8qd260OwYAAGgE9rSi2byy5wTt8qZbNp5hGnJbcMSE9p5SXZrwHwsSAQCAlkJpRbPJr07QdleyZeMZhsFhcQAAtsjNzdWaNWs0ffp0u6NELBoAAADAUeTm5mr27Nl2x4holFYAAAA4HqUVAAAc99auXausrCy1bt1arVq10plnnqn33ntPubm5crlc+vTTT+vcf/jw4Ro0aJAkKScnRzNmzNCBAweCJ3E4dBtaDmtaAQDAce2jjz7S4MGDddZZZ+npp59WUlKSPv30U23btk3dunU76tdfd9112rFjh55//nn94x//kCS1bt26uWPjJyitAADguPb73/9eJ554ov7xj3/I4/FIkrKysiTVrFU9mo4dO6pjx45yu90666yzmjMqjoDlAQAA4LhVXl6udevWaezYscHCivBEaQUAAMetkpISGYahDh062B0FIWJ5QJiqKsiXcbDU7hj1+IuL7Y4AAEBQUlKS3G638vLyGrw9NjZWklRVVVXn+pKSErlcrmbPh8ajtIaRQMXhklr2xfc2Jmkc0wzYHQEAEOESEhI0YMAALVu2THfccUe9JQIdO3aUJG3atEkDBw6UJO3evVvr169X//79g/eLjo5WZWVlywVHPZTWcGLaHQAAgPDz0EMPafDgwbrgggt00003yefzaf369UpJSdGECRN05plnasaMGWrTpo28Xq8efvhhtWnTps4YvXr1kt/v1+OPP66BAweqdevWOumkk2x6RJGJ0hpGPHGHD6+x+Zc360CbrjamaVjbnWuU8d0rkiSXiwXvAAD7nX322crNzdU999yjcePGyePx6Be/+IVmzZolSVqxYoUmTZqkcePGqX379po1a5ZefPFF7d27NzjGsGHDdNNNN+nBBx9UYWGhzj333EYdeQDWobSGqYJuF6sk3ZmH3ThUWgEAcIqBAwcGj7H6U926dat326hRo+pc9nq9WrBggRYsWNBsGXFkHD0AAAAAjkdpBQAAgONRWgEAAOB4rGkFAADHpY1jm+c4q72XcjgfO7CnFQAAAI7HnlYAAHBce3l/b+X7Wx/9jkeQ7i3V5a02WpQITUFpBQAAx7V8f2tt9fvsjoEQsTwAAAAAjkdpBQAAaGGzZ8/WuHHj7I4RVhyxPGD+/Pn69NNPdfDgQbVq1UpZWVkaMWKE3bEAAAAaZdCgQVq3bp283sPV6rnnntPw4cMbvP/06dNbKNnxwxGlNTs7W5MmTVJMTIyKioqUk5OjDh066Oyzz7Y7GgAAQKPMmzdPN9xwQ8jj+P3+OuUXNRyxPKBz586KiYkJXna5XMrLy7MxEQAAQGimTp2qzp07q1WrVurXr5/++c9/Bm/LycnRqFGjJElbt26Vy+XSs88+q65du+qUU06xK7KjOabGL126VG+++aYqKyuVlpamX//613ZHAgAAaLL+/ftr+vTpSkpK0vz583XllVdq69atio+Pb/D+f//737VhwwZFRUW1cNLw4JjSOnbsWF177bX67rvvtG7dOiUkJNS5PT8/X/n5+ZKkoqIiHThwQJJkGEaLZz0Wh/JZkdMwD49h/vif05h1tk2ZprUprRjPrJXSMA3HzyErWTkfI5lpmjKMmrnjcjXPGXciAfPRGsxH55g6daqmTZsmSUpMTNSOHTuCt912222aMWOGNm3apP79+zf49Tk5OWrdOrTjyR7PHFNapZplAd27d9dnn32mF154QRMnTgzetmjRIs2YMSN4+dAu9YKCghbP2RSFhYUhj+Ev3hPcrq6sUmVFRchjWi1Q7Q9u+/1+VRqVNqZpWLVRHdzeU7xHpa3CYw5ZyYr5CFiF+Yjjxdy5c+usaX3sscf0zDPPKC8vTy6XS6Wlpdq9e/fPfn1mZmZLxAxbjiqthxiGEdyresjkyZOVnZ0tqWZP66pVqyRJ7du3b/F8x8IwDBUWFiotLU1ud2hLiMv3J6vsx+2omGjFxMaGHtBinqjDU8rr9SomKuYI9z42pmlashchynv4bZfktsmKd/gcspKV8zGSmaYZ/KAEe7aajvlojXCaj+Gyo8kKH374oR588EGtXr1aJ598stxut3w+3xHfMXT6z89utpfWsrIyffLJJzrzzDMVGxurr776Sm+//bZGjhxZ537p6elKT0+XJOXl5Wnt2rWSFDYvdG63O+Ssbtfhr3f9+J/TuOpsuyz9B2hVaXXVSul2hf5zCUdWzMdIZppm8Dnkl0zomI+hYT460/79++X1epWSkiK/369HH31UpaWldscKa7aXVklatWqV/vKXv8gwDCUnJ2v48OEaOnSo3bEAAACa5De/+Y2GDh2qnj17KiEhQbfffrs6depkd6ywZntpTUxM1AMPPGB3DAAAgCbLzc2tc9nj8Wjx4sVavHhx8Lrf//73we2cnJzgdpcuXSz/4PLxiPdjAAAA4HiUVgAAADgepRUAAACOZ/uaVgAAgOaU7g39U/tWjIHQUFoBAMBx7fJWG+2OAAuwPAAAAACOx55WAABwXOq9lMNIHU/Y0woAAADHo7QCAADA8Zq0PGDatGmaOHGiunfvbnUeAAAAS2wc62qWcVl2YI8m7Wldvny5evbsqXPOOUdLly5VeXm51bkAAACAoCbtad2+fbvefvttLVmyRNdff71uueUWjRw5UuPHj9eAAQOszggAANBkCaf3ljepdUhj+PeW6sAnHDrLTk0qrW63W0OHDtXQoUNVXFys5cuX69lnn9Uzzzyjnj17asKECbrmmmuUlpZmdV4AAIBj4k1qrahUn90xEKKQP4jVtm1b3XbbbVq2bJnOOeccbdq0SXfeeac6deqksWPHqqioyIqcAAAAiGAhldZ9+/bpqaee0mmnnaa+ffuqtLRUCxYsUF5enp566il9+OGHGjVqlFVZAQAAIOmrr76Sy9U8HzRzqiYtD3j//fe1ePFivfbaa/J6vbrqqqu0aNEi9e/fP3ifCRMmqFOnTho2bJhlYQEAAJzs5Zdf1ty5c7VhwwbFxMSoU6dOGjlypG699VbFx8fbHS+sNWlP65AhQ/T999/rz3/+s/Lz87Vw4cI6hfWQHj166Kqrrgo5JAAAgNPNmzdPkydP1s0336ydO3equLhYL7zwggoKCvT999/bHS/sNam0/vvf/9batWs1YcKEI/7VkJmZqSVLljQ5HAAAQDjYt2+f7rnnHi1YsECjR49WmzZtJEm9evXS448/rpNPPllVVVW688471bFjR7Vr107jxo3Tvn37gmN8/PHHGjBggNq0aaM+ffrozTffDN5WUVGh6667TsnJyerevbtWrVrV4o/Rbk0qrbfccou++uqrBm/75ptvNHjw4JBCAQAAhJO1a9eqoqJCl1122c/eZ/bs2Xr//ff18ccf65tvvtGePXt00003SZJKSkp04YUXasKECSouLtacOXM0cuRIbdq0SZI0c+ZM/ec//9FXX32ljz76SCtWrGiRx+UkTSqtubm5Ki0tbfC20tJSffDBByGFAgAACCe7d+9WSkqKoqKigtcNHz5cSUlJio+P19NPP63nnntO9913nzp06KA2bdrokUce0UsvvaSqqir97W9/U2ZmpiZNmiSv16usrCwNGzZMzz//vCTphRde0D333KO0tDSlpaVp2rRpdj1U2zTpg1iSfvYTa2vWrOH4rAAAIKKkpKRo9+7dqq6uDhbX1157TZI0aNAg+f1+7dy5U126dAl+TZcuXRQIBFRQUFDvtkO379y5U5KUl5enzp07B2/LzMxs1sfjRI3e0/rggw+qdevWat26tVwul379618HLx/6LyYmRrfffrsuv/zy5swMAADgKAMGDFBMTEywqDYkIyNDW7duDV7eunWr3G632rdvX++2Q7dnZGRIkjp06KBt27YFb6u9HSkavad14MCBuuOOO2Sapu6//35dddVV6tixY537REdHq1evXhzmCgAARJQ2bdro/vvv180336xAIKCLLrpIrVq10nfffaeCggJJ0pgxYzRz5kydccYZSkhI0LRp0zRy5EhFR0froosu0pQpU7R48WJde+21ys3N1RtvvKFPP/1UkjRy5EjNnj1bZ511liTp4Ycftu2x2qXRpfW8887TeeedJ6lmacB1110XbP8AAACR7o477lCnTp00b948TZw4UbGxserUqZPGjx+vMWPGKDo6WmVlZTrttNNUXV2tCy+8UE888YQkKTk5WW+99ZZuu+023X777erUqZOef/559erVS5J07733ateuXerRo4dSUlJ06623as2aNXY+3BbXpDWt9913n9U5AAAAwt6IESM0YsSIn719zpw5mjNnToO3DRgwQP/6178avC0uLk6LFy/W4sWLg9f9v//3/0ILG2YaXVqzs7M1Z84cde/eXdnZ2Ue8r8vl0uuvvx5yOAAAAEA6htK6f/9+BQIBSTWHtYq0890CAADAPo0uratXrw5u5+bmNkcWHGfauYqlKuvGM03Tkj+W2kUdsCANACBc+Pc2fGz5lh4DoWnycVobUlVVpejoaCuHRJhx+8uD21ek5UnKsy9MIwQqeBECgOPdgU822h0BFmhSaV2+fLn27t2rKVOmSJK+/PJLXXrppdqyZYvOPvtsrVy5stlPMJCYmCiv1yvTNJv1+4TKNM1gzlCzmnL2Y5Ukl/Mj1mGacvwcspKV8zGSHXrueA5Dw3y0RjjNR6/X0n1liDBNmj2PPvqoJk+eHLw8ZcoURUdHa968efrzn/+s6dOn6+mnn7YsZEP69u0rn88nv9/frN/HCj6fT4ZhyDCMkMYJ+APBbdM0ZTjwBcofFRfcjj2xg6J8PhvTNMxfVq6Dm7bUXIiKD4s5ZCWr5iMUXOePpmM+Wicc5qOvhX8nVF7RvF0ELatJpXXr1q3q3bu3pJpz7X744Yd68803deGFFyo1NVW/+93vLA3ZkM8//1x9+vRRampqs3+vUBiGoeLiYrVt21Zud6NPQNYgj9cT3Ha5XHI78MNwLh3OFJvRVrGdu1gyrimzZreoy1XnezRFVeGeYGn1eD0R9Ze/lfMxkpmmqUAgII/Hw4dSQ8B8tEY4zceioqIW/X59h01s0e+H5tWk39Zut1tVVTWfsFm9erWioqL061//WpKUnp6u4uJi6xL+jLKyMvn9fsf/A3W5XMGcoWYNtazZwqLILtMlU2bNcxDqmK7am6H/XMKJlfMR4nkMEfPRWuHwPEbaO1uwVpNK66mnnqonn3xSHTt21BNPPKHBgwcrJiZGUs25cJt7PSsAAMDRfP7GM80yLntw7dGk0jp79mxdfPHFOuWUU9SqVSutWrUqeNurr76qM844w7KAAAAATRHz/13XPANTWm3RpNL6q1/9Stu2bdM333yjbt26KSkpKXjbxIkTdeKJJ1qVDwAAAGj6cVpbtWql/v3717v+oosuCikQAACAlb445xGVJvcOaYzWezbqlx/+3qJEaIoml9avv/5aL7/8snbs2KGKioo6t7lcLj3zTPOsIwEAADgWpcm9tSf9TLtjIERNPrnA+PHjFRsbq8zMzHpnwXL6pxcBAAAQXppUWmfOnKkrrrhCixcvVnx8vNWZAAAA4FAVFRWKi4vTli1b1KVLlxb7vk06mnNeXp4mTZpEYQUAABHvwgsv1J133lnv+i+//FJer1d5eXnNnmH16tUaMmSI2rRpo6SkJPXu3VvTp0/X7t27m/17t5QmldZzzz1XX375pdVZAAAAws748eP13HPP1TuV7rPPPqusrCx16NCh0WM15QQMr7zyirKzszV8+HBt3rxZe/fu1dtvv63o6GitX7/+mMdzqiaV1tmzZ+t//ud/tGjRIn3//ffas2dPvf8AAAAiwfDhw1VZWal33nkneF0gENCKFSs0fvx4maapuXPnqkePHkpOTtZFF12kHTt2BO/rcrn05JNPqmfPnkpKStKcOXPqHY3p4Ycf1sUXX1zve5umqdtuu0333HOPbr75ZqWkpEiSMjMzlZOTo6ysrOD9HnnkEZ1wwglq27athg8fXmcP8DfffKMhQ4bI5/OpR48edT5QbxiG7r77bqWmpqpz585asWKFNU/cMWpSae3Xr582btyoG2+8Ud27d1dqamq9/wAAACJBTEyMrrrqKj377LPB6/7+97+rqqpK2dnZmj9/vlasWKF3331Xu3btUr9+/TRq1Kg6Y6xcuVIffPCBioqKdPXVV2v16tXatWtX8Pbly5dr3Lhx9b73119/re3bt+vKK688YsalS5fqySef1FtvvaUdO3YoPT1dI0aMkCRVV1fr4osv1oABA7Rr1y49//zzuuuuu4Inj3rmmWf017/+Vf/617/03//+V2+88UYTn6nQNOmDWIsXL+YIAQAAAD8aP368zj77bJWUlMjn82np0qUaPXq0YmJi9NRTT2nOnDnBDy3l5OQoISFB27ZtU+fOnSVJ06ZNU1pamiQpLi5OWVlZWrFihaZOnarPPvtMeXl5GjZsWL3ve2jNau0lCLfccouWLVum6upqTZ06VTNnztRzzz2n22+/XT179pQkPfroo/L5fNq8ebPy8/NVUlKi++67Tx6PR6eddpquu+46LV26VBdccIFeeOEF3XrrrTrhhBMkSTNmzNDrr7/ebM/lz2lSaW2o6aNlJeZ9IuNgqd0x6onbvcnuCAAAtLjTTjtN3bt314svvqhRo0bpf//3f7VmzRpJ0tatWzVy5Ei53Yff4Ha73dqxY0ewtGZmZtYZb/z48crJydHUqVO1bNkyjRo1SjExMfW+76HlAHl5ecFS+cQTT+iJJ57QuHHjVF1dLUnauXNnnU/6JyYmqm3bttq5c6fy8/PVsWNHeTye4O1dunTRxx9/HBz7UM6GsraUJp9cQJJKSkr05Zdfavv27frtb38rn8+niooKRUdH1/nBwBqBisMl9dS199qYpHFMI3D0OwEAcJwYP368li5dKkk66aST1K9fP0lS586dtXDhQg0aNOhnv/an72APHTpU119/vdavX68XXnjhZ9+SP+mkk9SxY0e9/PLLDR7B4JCMjAxt3bo1eLmsrEzFxcXKyMgIFuhAIBAsrlu3blVGRoakmr2427ZtC35t7e2W1KRmaRiGpk+frk6dOum8887TNddcoy1btkiSLrvsMs2cOdPSkPiRaXeAYxRueQEACMHVV1+t9evX6+GHH9b48eOD19944436wx/+oM2bN0uq2em3cuXKI44VFRWlq6++WuPHj1fbtm115pkNn9HL5XJp7ty5mjlzpp566ikVFxdLknbs2KHvv/8+eL8xY8Zo3rx5+uabb1RRUaG77rpLZ5xxhrp166YzzzxTSUlJmjlzpqqqqrR+/Xo988wzuuaaayRJI0eO1BNPPKEtW7Zo//79ysnJCeVparIm7Wm99957NX/+fM2ZM0fnn3++evToEbwtOztbTz/9tO677z7LQqKGJ651cPufvbK0p1WajWka1mXX1+r7wyeSJFettxkAADjepaWl6aKLLtJbb72lMWPGBK+fMmWK3G63Lr74Yu3cuVNJSUkaMmRI8INQP2f8+PH605/+pAcffPCI97vyyivl8/n00EMP6a677pLb7VZGRoays7M1depUSdLYsWNVUFCg3/zmN9q3b5/OPvtsvfTSS5JqCvIbb7yhm2++WWlpaUpNTdUDDzwQPPLAddddp82bN+uMM85QbGyscnJy9Oqrr4byVDVJk0rrs88+q9mzZ2vy5Mn1jknWrVu34F8SaD4bO/fTD2nd7Y7RoEOlFQCASPPaa6/Vu87tdmvKlCmaMmVKg19jmg2/NZmRkaHo6GhdffXVR/2+F1xwgS644IKfvd3tduvuu+/W3Xff3eDtPXv21Pvvv9/gbR6PR4888ogeeeSR4HUTJ048aiarNWl5QHFxsXr16tXgbYFAILjoFwAAAMfONE3NmzdPF154oTp27Gh3HEdo0p7WHj166L333tP5559f77bc3FydfPLJIQcDAACIRJWVlWrbtq3S09P15ptv2h3HMZpUWm+//XZNmjRJUVFRuuKKKyTVLPhdu3atnnjiiToH1wUAALBT6z0bHTFGY8XExKisrKzFvl+4aPJxWvfs2aOcnBzNnj1bUs0pzOLj4zVr1qyjLiwGAABoKb/88Pd2R4AFmnyc1qlTp+r666/XmjVrtHv3biUnJ2vAgAFq06aNlfkAAACAxpfWZcuWHfH2wsLCOqf0uvbaa5ueCgAAIES9l3LA8ONJo0vrT0/deujMDbUP01D7bA6UVgAAAFil0Ye8KikpCf73ySefKDMzU/fcc482bNiggoICbdiwQX/4wx+UmZmpf/3rX82ZGQAAABGm0Xtaa69VnTZtmq6//npNmzYteF1aWpr69OmjuLg43XXXXT97gFoAAICWsHGs6+h3agKWHdijSScXWLNmjfr379/gbf3799e6detCCgUAAADU1qSjB6Slpemll17SkCFD6t324osvKjU1tdFjVVdXa+HChdqwYYP279+vlJQUjRgxQuedd15TogEAANTx8mmjlZ+UEdIY6Xt36vJPn7coEZqiSaV1+vTpmjx5sjZv3qzhw4crLS1NhYWFevXVV/XBBx9o0aJFjR4rEAgoOTlZs2bNUrt27bRp0ybdf//9ateunXr27NmUeAAAAEH5SRnamnqi3TEQoiaV1kmTJik9PV0PPPCA7rzzTvn9fnm9XvXr10+vv/66hg0b1uixYmNjNWbMmODl3r17q1evXtq0aROlFQAAAJKauKZVki6++GKtXbtWFRUVys/PV0VFhdatW3dMhbUhFRUV+u6775SZmRnSOAAAAMe7FStWaPDgwXbHaBFNPiPWIW63W+3atbMiiwzD0Lx589S9e3f17du3zm35+fnKz8+XJBUVFenAgQPBr3GyQ/msyGmYh8cwTbPOMXKdonYmU9ZmNA/9b4hD1s5kmIbj55CVrJyPkcw0TRlGzdypfXxqHBvmozWYj84waNAgrVu3Tl6vVzExMTr99NP1+OOP66STTmrW7ztmzJg671gfz0IurVYxTVNPPvmk9uzZoxkzZtT7h7do0SLNmDEjeHnUqFGSpIKCghbN2VSFhYUhj+Ev3hPcrq6uVmVlZchjWs3v9x/ervY7M2N1dXB7T/EelbYKjzlkJSvmI2AV5iOOF/PmzdMNN9ygsrIyTZo0SePGjdPatWuDtx/6A8Pj8diYMnw5orSapqmFCxdqy5YtmjlzpuLi4urdZ/LkycrOzpZUs6d11apVkqT27du3aNZjZRiGCgsLlZaWJre7yasxJEnl+5NV9uN2VFSUYmJiQg9oMa/38JTyRnktzWiapiV7EVxRUcHt5LbJinf4HLKSlfMxkpmmGVzLz56tpmM+WiOc5mO47GgKVWJioq6++mqNHDlSgwYN0sCBA7VmzRp9/PHHev/999W1a1fdeuutys3NVXR0tCZOnKh7771Xbrdbzz77rBYuXKhBgwbpL3/5i+Lj47Vw4UJFRUXplltu0a5du3Tdddfpsccek6Tg/detW6etW7eqa9euOnjwoGJjYyXV7OTr2bOncnJylJubq1GjRunuu+/WQw89pKqqKj388MPq27evJk6cqC1btig7O1tLliyp8/vcKRyRaNGiRfr66681a9YsxcfHN3if9PR0paenS5Ly8vKCf7mEywud2+0OOavbdfjrXS6XI1+camdyycKMZs3/uOSSQhyydia3K/SfSziyYj5GMtM0g8+hE/8dhhvmY2iYj85TWlqq5cuXq1+/fpJqiuVbb72lU045RdXV1TrnnHM0ZMgQLV26VHv27NHQoUOVkZGhSZMmSZI+++wzjR07VoWFhXrqqac0fvx4nX/++fr4449VXFysX/7yl7rssss0cODAY862e/du7dq1Sz/88IPeeecdXXnllcrKytLbb78tr9er008/XStXrtTo0aMtfU6sYPurRGFhod566y1t375dEyZM0IgRIzRixAitXLnS7mgAAACNNnXqVPl8PvXs2VOVlZVaunSpJOnaa6/VL3/5S7ndbm3YsEHbt2/XrFmzFBsbqw4dOmjq1Kl64YUXguNkZGToxhtvlNfr1ZgxY7R7927ddtttatOmjU444QSdddZZWr9+fZMyut1uzZgxQ9HR0Ro2bJiio6M1evRopaenKzU1VVlZWU0eu7nZvqc1LS1N//u//2t3DAAAgJDMnTtXN9xwQ73rax8RaevWrSoqKpLP5wteZxiGOnXqFLxce+njoXegf3pdWVmZmiI5OVlRtZbJxcfHWzZ2c7O9tAIAABzPai/b6Ny5szp27KitW7da/n0SExMlSeXl5cE1rQUFBcfNce9tXx4AAAAQKU4//XSlpqZq5syZOnDggAzD0Lfffqt//vOfIY+dkpKijh07aunSpQoEAnr99dfrHL0g3FFaAQAAWojH49Ebb7yhb7/9Vt27d5fP59OIESOCx6IP1TPPPKP58+crOTlZf/vb30I+6ZOTsDwAAAAgRLm5uY2+vn379lq2bFmD9x83bpzGjRsXvBwbG1vvRD2vvfbaz94/KytLmzdvbnDsQYMG1Tvs2E8vz5s3r8GvdQL2tAIAAMDxKK0AAABwPEorAAAAHI81rQAA4LiWvnenI8ZAaCitAADguHb5p8/bHQEWoLSi2VQXFVs6nmmalpxX27/vgAVpAABAS6K0wlJef1Vw+8DGPEl59oVphEBFqd0RAADNpPdS8+h3Qtjgg1iwlEth9gIRZnEBAIhU7GmFpaq9McHtb38xUQdTelk2tilTLoW+PCBh3xZ1+2KBJMkT1zrk8QAAQPOjtKLZFGRmad8JWZaNZ5im3BasafXlrwuWVgDA8Wvj2NB/ZzSEZQf2YHkAAAAAHI89rQAA4LjW5tIsRaWnhjRGdX6R9r36rkWJ0BSUVgAAcFyLSk9VTJeOdsdAiFgeAAAAAMejtAIAADSj9u3bKzc3N+RxcnJyNGrUqNADhSlKKwAAQIgGDRqkhQsX2h3juEZpBQAAgONRWgEAACz0pz/9SRkZGUpLS9OcOXPq3GaapubOnasePXooOTlZF110kXbs2BG8ferUqercubNatWqlfv366Z///GdLx3csSisAAIBF3nvvPc2aNUtvvPGGtm3bpm+//Va7d+8O3j5//nytWLFC7777rnbt2qV+/frVWafav39/rV+/XiUlJbr22mt15ZVXqry83I6H4jiUVgAAAIu88MILGjdunPr166fY2Fg99NBDMgwjePtTTz2lWbNmqUuXLoqKilJOTo4++eQTbdu2TZI0ZswYpaSkyOv16rbbblN1dbU2bdpk18NxFEorAACARfLy8tS5c+fg5aSkJLVu3Tp4eevWrRo5cqSSkpKUlJSklJQUud3u4BKBxx57TL169VKbNm2UlJSkffv21dlTG8k4uQAAAIBFOnToENxrKkl79+5VaWlp8HLnzp21cOFCDRo0qN7Xfvjhh3rwwQe1evVqnXzyyXK73fL5fDJNsyWiOx57WgEAACwycuRILV26VF988YUqKio0ffp0ud2H69aNN96oP/zhD9q8ebMkqaSkRCtXrpQk7d+/X16vVykpKfL7/XrggQfqFN5IR2kFAACwyG9+8xvdfffdGjp0qDp37qxu3bopJSUlePuUKVM0atQoXXzxxWrdurVOPfVUvfPOO8GvHTp0qHr27KnMzExFRUWpU6dOdj0Ux2F5AAAAQIhqn/Hqjjvu0B133FHn8iFut1tTpkzRlClT6o3h8Xi0ePFiLV68OHjd73//++B2Tk6OtaHDTNiW1sTERHm9Xsev8zBNM5gz1KymnP1Ym5NZ6/9dlo4b+s8lnFg5HyPZoeeO5zA0zEdrhNN89HrDtnbAAcJ29vTt21c+n09+v9/uKEfl8/lkGEadQ140RcAfCG4bhinDcN4LlFHrRdM06162gmmGXt1rv7AH/IGwmENWsmo+QgoEAke/E46I+WidcJiPPp/P7ggIY2FbWj///HP16dNHqampdkc5IsMwVFxcrLZt29ZZiN0UHq8nuO12u+R2W7nP0Rpu1+FMLlfdy6EwVVM2XS5XyHtaXbUyebyeiPrL38r5GMlM01QgEJDH46kzn3BsmI/WCKf5WFRUZHcEhLGw/W1dVlYmv9/v+H+gLpcrmDPUrKHXtfDlkvVLA2rGDf3nEk6snI8Qz2OImI/WCofn0a53tqrzQy/LVoyB0IRtaQUAAGiMfa++a3cEWID3YwAAAOB47GkFAADHpd5LnfeBZTQde1oBAADgeJRWAAAAOB6lFQAAAI5HaQUAAIDj8UGsMNWu4GsZB0vtjlGPb882uyMAAIDjEKU1jAQqDpfUyza8amOSxjEN559SEAAAhAeWB4QTjtwBAAAiFHtaw4gnrnVwu9V5Z8qb4rMxTcMqNm/TwS82SpJcbo/NaQAAwPGC0hqm4k85SbFdO9kdo0GHSisAAIBVWB4AAAAAx6O0AgAAwPEorQAAAHA8SisAAAAcj9IKAAAAx6O0AgAAwPEorQAAAHA8SisAAAAcj9IKAAAAx6O0AgAAwPE4jSuaTeKuLywdzzQllyv0cRJLvg59EAAA0KIorbCUWVUV3O772YM2JmmcQEWp3REAAEAjsDwAljJlwa7QlmTaHQAAADQGe1phKXd0VHA798RzVZLc2bKxDdOU24L1Acn7C3XepnclSZ641iGPBwAAmh+lFc3mvx1O1vbM/paNZxim3O7QS2tm4bfB0lqx/d8hj9ecYjJ6y5PgszsGAAC2c0RpffPNN/WPf/xDW7du1YABA3TnnXfaHQnHsejqiuB2wbKbbExydO7YVuo+9weKKwAg4jliTWtycrJGjBihrKwsu6MgAiSX7bY7QqMZFftVuXOj3TEAALCdI/a0Dhw4UJL0/fffa//+/TanQSR5Zc8J2uVNtztGPe09pbo04T92xwAAwDEcUVoBu+RXJ2i7K9nuGAAA4CjCprTm5+crPz9fklRUVKQDBw5IkgzDsDPWUR3KZ0VOw6w1hmnKNJ14vCazzpa1GU1ZMVztTKac+TyatZ5HwzQsm+dWzsdIZpqmDKPm5+Ky4owXEYr5aA3mIyJF2JTWRYsWacaMGcHLo0aNkiQVFBTYFemYFBYWhjyGv3hPcLuqulqqrAx5TKv5/f7D29V+VTo9o9+vSsN5GauN6uD2nuI9Km1l7Ty3Yj4CVmE+AmiMsCmtkydPVnZ2tqSaPa2rVq2SJLVv397OWEdlGIYKCwuVlpYmtzu0z72V709W2Y/b0VFRiomJCT2gxaq8h6eUN8praUbTNC3Zi+CtndHrVUyU857HKO/h490mt01WvEXz3Mr5GMlM05Tf75fX62XPVgiYj9YIp/kYLjua4EyOKK2BQECBQCD49kZVVZXcbnedcpGenq709JoPzOTl5Wnt2rWSFDYvdG63O+Ssbletr3e5HPri5KqzZWVG07RmvNpjuOTM59FV63l0u0KfOz9lxXyMZKZpBp9DJ86fcMN8DA3zEZHCEaX1pZde0osvvhi8/NFHH2nw4MG67bbb7AsFAAAAx3BEaR09erRGjx5tdwwAAAA4FO/HAAAAwPEorQAAAHA8SisAAAAcj9IKAAAAx6O0AgAAwPEorQAAAHA8RxzyCrBLO1exVGV3ivraRR2wOwIAAI5CaUXE8foPt9Qr0vIk5dkXphECFaV2RwAAwHYsD0DEccm0O8KxCbO4AAA0B/a0IuJUe2OC23EndpC3bVsb0zQssP+Ayjd+L0nyxLW2OQ0AAPajtCKixWS0VWxmF7tj1FNVuCdYWgEAAMsDAAAAEAYorQAAAHA8SisAAAAcj9IKAAAAx6O0AgAAwPEorQAAAHA8SisAAAAcj9IKAAAAx6O0AgAAwPE4IxYiWnVRsd0RGuTfd8DuCAAAOAqlFRHH668Kbh/YmCcpz74wjRCoKLU7AgAAtmN5ACKOS6bdEY5NmMUFAKA5sKcVEafaGxPc/vYXE3UwpZeNaRqWsG+Lun2xQJLkiWttcxoAAOxHaUVEK8jM0r4TsuyOUY8vf12wtAIAAJYHAAAAIAxQWgEAAOB4lFYAAAA4XtiuaU1MTJTX65VpOvuj1aZpBnOGmtWs/TFyUxH1qfJDz51pmnK5XDanaVmmQp87wbEsnI+RrPZ8RNMxH60RTvPR6w3b2gEHCNvZ07dvX/l8Pvn9frujHJXP55NhGDIMI6RxAv7A4QumKdMMbbxmUetF0zQlw7D2RdQ0Q39hNn6a0YEv9LUfY/nWL+r+7EMUK+nAbsuGU3SHXvIk+KwbMIwEAtb9XCKVVa+PCI/56PNF5msFrBG2pfXzzz9Xnz59lJqaaneUIzIMQ8XFxWrbtq3c7tBWY3i8nsMXXC65XA5c3VFrL2j74i2yaqeoeeh/XFKoQ7Yt2R7cdrkktwP33Hqry4LbRSum2Jjk6NyxrXTinK0RVVxN01QgEJDH44m4Pf9WsvL1MZKF03wsKiqyOwLCWNiW1rKyMvn9fsf/A3W5XMGcoWZ11a5rLoXe3pqBWXX4bFNXbHzbxiSNYxrO3DMRX7rN7giNZlTsV1XeJsX3+JXdUVqcFf+uI5mVr48Ij/kYDu+OwrnCtrTCmUwnNukw98qeE7TLm27JWKZMVVdVKyo6qu4fQU3Q3lOqSxP+Y0kuAACOhtIKS7mjo4LbiQNPUVR6B+sGN01Zsd6gYvM2HfxioySpVdF/5HJ7jvIVLS9u96bgdn51gra7ki0Z1zRNVVZXKsYd4/g9MgAA1EZpRbOJ63WC4n/xC2sGMyXTNGrW8YbYtcyqqmBp7fvZgxaEa16m6cwlDAAAtCRWviPisIQBAIDww55WRJzaSxhyTzxXJcmdbUzTsC67vlbfHz6RJLlczlu+AABAS6O0IqL9t8PJ2p7Z3+4YDTpUWgEAAMsDAAAAEAYorQAAAHA8SisAAAAcjzWtgMO1cxVLVUe/X2OYMuU3/PJWe0M+uUC7qAPWhAIAoBEorYADef21Toeblicpz74wjRCoKLU7AgDgOMfyAMCBXDLtjnBswiwuACD8sKcVcKBqb0xwO+7EDvK2bWvNwKYpv98vr9cb8ilxA/sPqHzj95IkT1xrK9IBAPCzKK2Aw8VktFVsZhdLxjJNU5WVlYqJiZErxNJaVbgnWFoBAGhulFbA4aqLii0by5Qpf7VfZlToH8Ty7+ODWACAlkNpBRyo9gexDmzkg1gAAPBBLMCB+CAWAAB1sacVcKDaH8T69hcTdTCllyXjmpIC1X55orwhLg6QEvZtUbcvFkjig1gAgOZHaQUcriAzS/tOyLJkLFNSZUWFYmJjQy6tvvx1wdIKAEBzY3kAAAAAHI89rYho7XZvsTtCg3x7tgW3E3d9Ydm4pqngcVpDPOKVEku+tiYUAACNQGmtJXCgRPvWvWjpmKZpqrK0VCWtW1twXMzNFqWKbGZVrVOkbnzbxiSN0/ezB+2OcFQcPQAA0NworT8KHCjRt1MzZVTsb5bxD1o9YMBv9YgRwwx5NSfq4egBAIBmRmn9UeXOjc1WWJuDUVlud4Sw5Y6OCm4nDjxFUekdbEzTsIrN23Twi42SpNwTz1VJcmdLxjVrncY11D3/yfsLdd6mdyVx9AAAQPOjtP4o3N7eNM2A3RGOC3G9TlD8L35hd4wGHSqt/+1wsrZn9rdkTCtP45pZ+G2wtAIA0NworYeE29ub4ZYXx7WK7f+2O8IRxWT0lifBZ3cMAEAIKK0/qv325uZf3qwDbbpaMq6VB3Nvu3ONMr57RZLkcntCzgaEIrq6IrhdsOwmG5McnTu2lbrP/YHiCgBhzBGltaysTAsWLND69esVFxenSy+9VJdccolteQq6XayS9LMsGcvKg7lLCpZWRA4rD8tlSvJX++W14I+obnlfWhGpRRgV+1W5c6Pie/zK7igAgCZyRGldtGiRqqurtWTJEhUWFuqPf/yjOnbsqP79rVnHd6wS8z6RcdCaNa5WHhczbvcmSzLB+cLtsFzhINzWrQMA6rK9tFZUVOijjz7Sn/70J8XHx6tLly7KysrSe++916KltfYvtFPX3tti37ep+CDW8Y3Dclnv4JZP5Im15igHpkwF/AF5vB65LPpZse4WAI7M9tK6c+dOmaapzMzM4HVdu3bV2rVrWzRHOB3uSpKq83erImG73THq8e8uCW5X7ypWRbxFGU3V7LZ2uRRqR2i2jBYySsuC27E9u8qbbFGZMU0FjIA8bo9C3fVfuWOXqrfttCZXC9j9yn3arfvsjvHzXG7F9Thb8kQd/b7HC9NUVVWVKqOjQ56Pkc2UDP14YnZrnseud62yZBzASraX1oqKCsXHx9e5LiEhQQcP1j0cf35+vvLz8yVJRUVFOnDggCTJMAxLcriiEy0Zp6Xse3ut9qlli/2x2vvmh5I+tDvGEYVDxoqvtkhy5ulmYSHT0MGvP7A7hS0sP/kKQmbV71bASraX1tjY2HoFtby8XHFxcXWuW7RokWbMmBG8PGrUKElSQUGBJTmMVl2k6ASp6oAl4wEAEK6s+t0KWMn20pqRkSFJ2rZtmzp3rjnrz5YtW4Lbh0yePFnZ2dmSava0rlpV89ZF+/btLUrSXu3m/qDKvI0WjVfDNAyVlOyVz5ckl9sd8njGwZplDO64ViGP1VyaI6NpmgoEAvJ4PCEfFF+K4OexGeZj5c6NcsfEH/3ONjEqy1X2xRuSx9qXO8OU3Fa+ox3wW57R8UypqrpK0VHRVr2rHbGsno/W/W6tizKMUNj+ChkbG6tf/epXWr58uW6//XYVFRXp3Xff1a233lrnfunp6UpPT5ck5eXlBde8ui34xXuIu1VbRZ10jmXjSTVvsewvKFBC+/aWZo00Vp5+NJI1y3z85UXWjNOMUof+ztLxmI/WMAxDBQUFas/rY0iYj4gUtpdWqWYv6vz58zVu3DjFxcXp8ssvt+1wVwAAAHAeR5TWxMRETZs2ze4YAAAAcCjejwEAAIDjUVoBAADgeJRWAAAAOB6lFQAAAI5HaQUAAIDjUVoBAADgeJRWAAAAOB6lFQAAAI5HaQUAAIDjUVoBAADgeJRWAAAAOJ7X7gCh2L17t90RGq2goMDuCGHN6/XK5/OpqKhIfr/f7jhhj/kYGuajtZiPoQmn+RhOv7fhPGFZWuPj4xUVFaVXXnnF7ihHtX//fn322Wfq37+/WrVqZXccRDjmI5yE+RiZoqKiFB8fb3cMhCGXaZqm3SGaYu/evSovL7c7xlH95z//0YUXXqi///3v6tOnj91xEOGYj3AS5mNkio+PV1JSkt0xEIbCck+rJCUlJYXFpD/0tldqaqo6dOhgcxpEOuYjnIT5COBY8EEsAAAAOB6ltZmlp6frvvvuU3p6ut1RAOYjHIX5COBYhO2aVgAAAEQO9rQCAADA8SitAAAAcDxKKwAAABwvbA95FQ7Kysq0YMECrV+/XnFxcbr00kt1ySWX2B0LEai6uloLFy7Uhg0btH//fqWkpGjEiBE677zz7I6GCFdaWqobb7xR6enpeuyxx+yOA8DBKK3NaNGiRaqurtaSJUtUWFioP/7xj+rYsaP69+9vdzREmEAgoOTkZM2aNUvt2rXTpk2bdP/996tdu3bq2bOn3fEQwZYsWaJOnTo5/vSjAOzH8oBmUlFRoY8++kjXXHON4uPj1aVLF2VlZem9996zOxoiUGxsrMaMGaP27dvL5XKpd+/e6tWrlzZt2mR3NESwL7/8Unl5ebrgggvsjgIgDFBam8nOnTtlmqYyMzOD13Xt2lXbtm2zMRVQo6KiQt99912d+Qm0pOrqai1atEg33HCDXC6X3XEAhAFKazOpqKhQfHx8nesSEhJ08OBBmxIBNQzD0Lx589S9e3f17dvX7jiIUC+//LJOPfVUde3a1e4oAMIEpbWZxMbG1iuo5eXliouLsykRIJmmqSeffFJ79uzRnXfeyR4u2CIvL0/vv/++Ro8ebXcUAGGED2I1k4yMDEnStm3b1LlzZ0nSli1bgttASzNNUwsXLtSWLVs0c+ZM/oCCbTZt2qSSkhLdcMMNkqSqqipVVVXp2muv1cKFC+u9SwUAEqdxbVZz5sxRRUWFbr/9dhUVFemPf/yjbr31Vo4eAFssXLhQX331lWbNmqXExES74yCCVVZWqry8PHj5ww8/1OrVq3XvvfcqKSmJdwAANIg9rc1o8uTJmj9/vsaNG6e4uDhdfvnlFFbYorCwUG+99ZaioqI0YcKE4PVXXHGFRowYYWMyRKKYmBjFxMQELyckJMjj8cjn89mYCoDTsacVAAAAjscHsQAAAOB4lFYAAAA4HqUVAAAAjkdpBQAAgONRWgEAAOB4lFYAAAA4HqUVAAAAjkdpBQAAgONRWgGElZycHK1Zs8buGACAFkZpBRBWZsyYQWkFgAhEaQVgq0AgoOrqartjAAAcjtIK4JisXbtWWVlZat26tVq1aqUzzzxT7733niRp2rRp6tOnjxITE5WRkaGrrrpK+fn5db5+0KBBuvjii7V06VKddNJJiomJ0YYNG5Sfn68JEybohBNOUFxcnLp3767p06ersrIy+LUul0uSdOedd8rlcsnlcik3N7fFHjsAwD5euwMACB8fffSRBg8erLPOOktPP/20kpKS9Omnn2rbtm2SpMLCQk2fPl0dOnRQUVGR5syZo/POO08bN26U13v45ebTTz/V1q1bdf/998vn86lTp04qLCxUcnKy5s6dK5/Pp2+++UY5OTnKz8/XkiVLJNUU5gEDBmjKlCkaPXq0JKl3794t/0QAAFqcyzRN0+4QAMLDr371K+3du1f//ve/5fF4jnjfQCCggoICdezYUe+8846ysrIk1expXbNmjTZv3qxOnTr97Nf7/X6tXLlSY8eO1b59+xQfHy+pZm/ro48+qt/97nfWPTAAgOOxPABAo5SXl2vdunUaO3bszxbWt99+WwMHDlSbNm3k9XrVsWNHSdI333xT536nnHJKvcJqmqbmzZun3r17Ky4uTlFRURozZoz8fr++//775nlQAICwQWkF0CglJSUyDEMdOnRo8PZPPvlE2dnZ6tChg5YvX661a9dq3bp1kqSKioo6923Xrl29r583b57uuOMOXXLJJXr99df18ccfa8GCBQ1+PQAg8rCmFUCjJCUlye12Ky8vr8HbX331VbVp00YrV66U213z9/APP/zQ4H0PfaCqtr/+9a/Kzs7Wgw8+GLxu48aNFiQHABwP2NMKoFESEhI0YMAALVu2TIFAoN7tBw8eVFRUVJ1CumLFikaPf/DgQUVHR9e5rqGvj4qKYs8rAEQg9rQCaLSHHnpIgwcP1gUXXKCbbrpJPp9P69evV0pKioYMGaJ58+ZpypQpuvTSS7V27VotX7680WMPGTJEjz/+uObPn68ePXroueee03fffVfvfr169dLrr7+uc845RwkJCTrppJPUqlUrKx8mAMCB2NMKoNHOPvts5ebmyuVyady4cbrsssv06quvKjMzUxdddJEefvhhvf7668rOztYHH3ygN998s9Fj33vvvRo9erTuvfdejRo1SrGxsXriiSfq3W/BggUyDEO//e1vdfrpp+uzzz6z8iECAByKQ14BAADA8djTCgAAAMejtAIAAMDxKK0AAABwPEorAAAAHI/SCgAAAMejtAIAAMDxKK0AAABwPEorAAAAHI/SCgAAAMejtAIAAMDxKK0AAABwvP8fkZZk8g8PGpgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat', \n",
    "                         y=after_stat('density'),\n",
    "                         fill='cut'  # change the fill colour using another variable\n",
    "                        ))\n",
    "    + scale_fill_manual(values=[\"#000000\", \"#E69F00\", \"#56B4E9\", \"#009E73\", \"#F0E442\"]) # change the fill colour\n",
    "    + geom_histogram(binwidth=0.5,\n",
    "                    colour=\"#D55E00\",# change the outline\n",
    "                    size=1,          # change the thickness of the outline\n",
    "                    alpha=0.7        # change the transparency \n",
    "                    )\n",
    "    + theme_bw()                     # play with themes (look/arrangement)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When faceting histograms with scaled counts/densities, they are normalised by each facet, and not overall. Here's an example of a facet wrap:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:28.008236Z",
     "iopub.status.busy": "2021-03-04T13:03:28.001924Z",
     "iopub.status.idle": "2021-03-04T13:03:34.838975Z",
     "shell.execute_reply": "2021-03-04T13:03:34.841465Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 7 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat', y=after_stat('ncount'))) \n",
    "    + geom_histogram(binwidth=0.5)\n",
    "    + facet_wrap('color') # facet wrap\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here's an example of a facet grid with the count normalised in each grid:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-03-04T13:03:34.887714Z",
     "iopub.status.busy": "2021-03-04T13:03:34.876778Z",
     "iopub.status.idle": "2021-03-04T13:03:59.995680Z",
     "shell.execute_reply": "2021-03-04T13:03:59.997181Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 35 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (97654321012345679)>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(diamonds, aes(x='carat', y=after_stat('ncount'))) \n",
    "    + geom_histogram(binwidth=0.5)\n",
    "    + facet_grid('cut ~ color')\n",
    ")"
   ]
  }
 ],
 "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": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}