{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "# European Parliament groups and how they vote\n",
    "\n",
    "\n",
    "Based on a set of 3299 votes obtained through VoteWatch.eu we create a dataset for analysis using Pandas. Using initial data visualisation techniques (like heatmaps), we then obtain an euclidean distance matrix between all political groups pairs.\n",
    "A cluster map is created from the distance matrix using Ward clustering, presenting the way the different groups cluster together in a dendogram that shows the relative distance between all of them.\n",
    "\n",
    "Using DBSCAN and SpectrumClustering in the computed affinity matrix we obtain the separate groups that can be identified by both methods, and using Multi-dimensional scaling we create 2D and 3D maps of the relative distance between all groups - in total and by Policy Area.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Importing data\n",
    "\n",
    "This data was extracted from http://votewatch.eu - a site I recommend to anyone to that wants to follow the political activity in the EU; it consists of ~3300 votes from the last quarter of 2020."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "\n",
    "eu_v=pd.read_csv(\"./EU_Parliament_votes.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\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>ID</th>\n",
       "      <th>Date</th>\n",
       "      <th>Policy Area</th>\n",
       "      <th>Name</th>\n",
       "      <th>For</th>\n",
       "      <th>Against</th>\n",
       "      <th>Abstentions</th>\n",
       "      <th>Result</th>\n",
       "      <th>GUE-NGL</th>\n",
       "      <th>S&amp;D</th>\n",
       "      <th>Greens/EFA</th>\n",
       "      <th>REG</th>\n",
       "      <th>EPP</th>\n",
       "      <th>ECR</th>\n",
       "      <th>IDG</th>\n",
       "      <th>NI</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2324</td>\n",
       "      <td>9/14/2020</td>\n",
       "      <td>Transport &amp; tourism</td>\n",
       "      <td>Sustainable rail market in view of COVID-19 ou...</td>\n",
       "      <td>64</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>Adopted</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2325</td>\n",
       "      <td>9/14/2020</td>\n",
       "      <td>Budget</td>\n",
       "      <td>Draft amending budget no 8: Increase of paymen...</td>\n",
       "      <td>62</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>Adopted</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2326</td>\n",
       "      <td>9/14/2020</td>\n",
       "      <td>Regional development</td>\n",
       "      <td>Proposal for a Council decision authorising Po...</td>\n",
       "      <td>64</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>Adopted</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2327</td>\n",
       "      <td>9/14/2020</td>\n",
       "      <td>Culture &amp; education</td>\n",
       "      <td>Effective measures to “green” Erasmus+, Creati...</td>\n",
       "      <td>65</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>Adopted</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>Against</td>\n",
       "      <td>Abstain</td>\n",
       "      <td>For</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2328</td>\n",
       "      <td>9/14/2020</td>\n",
       "      <td>Environment &amp; public health</td>\n",
       "      <td>The EU’s role in protecting and restoring the ...</td>\n",
       "      <td>65</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>Adopted</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "      <td>For</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     ID       Date                  Policy Area  \\\n",
       "0  2324  9/14/2020          Transport & tourism   \n",
       "1  2325  9/14/2020                       Budget   \n",
       "2  2326  9/14/2020         Regional development   \n",
       "3  2327  9/14/2020          Culture & education   \n",
       "4  2328  9/14/2020  Environment & public health   \n",
       "\n",
       "                                                Name  For  Against  \\\n",
       "0  Sustainable rail market in view of COVID-19 ou...   64        0   \n",
       "1  Draft amending budget no 8: Increase of paymen...   62        0   \n",
       "2  Proposal for a Council decision authorising Po...   64        0   \n",
       "3  Effective measures to “green” Erasmus+, Creati...   65        0   \n",
       "4  The EU’s role in protecting and restoring the ...   65        0   \n",
       "\n",
       "   Abstentions   Result GUE-NGL  S&D Greens/EFA  REG  EPP      ECR      IDG  \\\n",
       "0            0  Adopted     For  For        For  For  For      For      For   \n",
       "1            2  Adopted     For  For        For  For  For      For      For   \n",
       "2            1  Adopted     For  For        For  For  For      For      For   \n",
       "3            0  Adopted     For  For        For  For  For  Against  Abstain   \n",
       "4            0  Adopted     For  For        For  For  For      For      For   \n",
       "\n",
       "    NI  \n",
       "0  For  \n",
       "1  For  \n",
       "2  For  \n",
       "3  For  \n",
       "4  For  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eu_v.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each row is a vote and the columns include the political groups position (as defined by VoteWatch.eu), the result and the policy area, amongst others."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['ID', 'Date', 'Policy Area', 'Name', 'For', 'Against', 'Abstentions',\n",
       "       'Result', 'GUE-NGL', 'S&D', 'Greens/EFA', 'REG', 'EPP', 'ECR', 'IDG',\n",
       "       'NI'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eu_v.columns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Looking at the data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Information on the political groups can be obtained directly from the European Parliament site (https://www.europarl.europa.eu/about-parliament/en/organisation-and-rules/organisation/political-groups); a very brief description based on the above information and direct quotes (when possible) from their official sites:\n",
    "\n",
    "* **Group of the European People's Party (Christian Democrats)**: \"The EPP Group is the largest and oldest group in the European Parliament. A centre-right group, we are committed to creating a stronger and self-assured Europe, built at the service of its people. Our goal is to create a more competitive and democratic Europe, where people can build the life they want.\"\n",
    "* **Group of the Progressive Alliance of Socialists and Democrats**: \"The S&D Group is the leading centre-left political group in the European Parliament and the second largest. Our MEPs are committed to fighting for social justice, jobs and growth, consumer rights, sustainable development, financial market reform and human rights to create a stronger and more democratic Europe and a better future for everyone.\"\n",
    "* **Renew Europe Group**: \"There has never been a larger centrist group in the European Parliament. By ending the dominance of the Conservatives and the Socialists, Europeans have given us a strong mandate to change Europe for the better. At a time when the rule of law and democracy are under threat in parts of Europe, our Group will stand up for the people who suffer from the illiberal and nationalistic tendencies that we see returning in too many countries.\"\n",
    "* **Group of the Greens/European Free Alliance**: \"The Greens/European Free Alliance is a political group in the European Parliament made up of Green, Pirate and Independent MEPs as well as MEPs from parties representing stateless nations and disadvantaged minorities. The Greens/EFA project is to build a society respectful of fundamental human rights and environmental justice: the rights to self-determination, to shelter, to good health, to education, to culture, and to a high quality of life\"\n",
    "* **Identity and Democracy Group**: \"Identity and Democracy (ID) is a new group, which is the fourth largest one in the current European Parliament\"; \"The Members of the ID Group base their political project on the upholding of freedom, sovereignty,  subsidiarity  and  the  identity  of  the  European  peoples  and  nations.  They  acknowledge  the  Greek-Roman  and  Christian  heritage  as the  pillars  of  European  civilisation.\"\n",
    "* **European Conservatives and Reformists Group**: \"The ECR Group is a centre-right political group in the European Parliament, founded in 2009 with a common cause to reform the EU based on euro-realism, respecting the sovereignty of nations, and focusing on economic recovery, growth and competitiveness. From its 8 founding Member States with 54 MEPs in 2009, we now have 62 members from 15 EU Member States. The ECR Group is at the forefront of generating forward-looking policy proposals to design a reformed European Union that is more flexible, decentralised and respects the wishes of its Member States. Only an EU that truly listens to its people can offer real solutions to the problems we face today. \"\n",
    "* **The Left group in the European Parliament - GUE/NGL**: \"Our group brings together left-wing MEPs in the European Parliament. We stand up for workers, environment, feminism, peace & human rights. What unites us is the vision of a socially equitable and sustainable Europe based on international solidarity. The European Union must become a project of its people and cannot remain a project of the elites. We want equal rights for women and men, civil rights and liberties and the enforcement of human rights. Anti-Fascism and anti-racism are also a strong part of the tradition of left movements in Europe.\"\n",
    "\n",
    "There is an additional group listed in the table: *NI*, which stands for *Non-Inscrits*: this isn't strictly speaking a group but it bundles every MEP that doesn't belong to a group. As per the wikipedia article (https://en.wikipedia.org/wiki/Non-Inscrits) the current MEPs come from different political backgrounds.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To visualise how the different groups vote an initial approach is a simple heatmap; for that end we subset the dataframe on the political groups only and replace the voting indication with numerical values.\n",
    "\n",
    "The resulting dataframe is simply a list of voting sessions with a numeric indication of each group's vote:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "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",
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       "    }\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>GUE-NGL</th>\n",
       "      <th>S&amp;D</th>\n",
       "      <th>Greens/EFA</th>\n",
       "      <th>REG</th>\n",
       "      <th>EPP</th>\n",
       "      <th>ECR</th>\n",
       "      <th>IDG</th>\n",
       "      <th>NI</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>-1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3294</th>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3295</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>0</td>\n",
       "      <td>-1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3296</th>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>1</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3297</th>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>-1</td>\n",
       "      <td>1</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3298</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>-1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3299 rows × 8 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      GUE-NGL  S&D  Greens/EFA  REG  EPP  ECR  IDG  NI\n",
       "0           1    1           1    1    1    1    1   1\n",
       "1           1    1           1    1    1    1    1   1\n",
       "2           1    1           1    1    1    1    1   1\n",
       "3           1    1           1    1    1   -1    0   1\n",
       "4           1    1           1    1    1    1    1   1\n",
       "...       ...  ...         ...  ...  ...  ...  ...  ..\n",
       "3294       -1   -1          -1   -1   -1   -1    1   0\n",
       "3295        1    1           1   -1   -1    0   -1   1\n",
       "3296       -1   -1          -1   -1   -1   -1    1  -1\n",
       "3297       -1   -1          -1   -1   -1   -1    1  -1\n",
       "3298        0    1           1    1    1    1   -1   1\n",
       "\n",
       "[3299 rows x 8 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "votes_hm=eu_v[[\"GUE-NGL\",\"S&D\", \"Greens/EFA\", \"REG\", \"EPP\", \"ECR\", \"IDG\", \"NI\"]]\n",
    "votes_hmn = votes_hm.replace([\"For\", \"Against\", \"Abstain\", \"No political line\"], [1,-1,0,0])\n",
    "votes_hmn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using Seaborn (https://seaborn.pydata.org/) we can then visualise it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "import seaborn as sns\n",
    "\n",
    "\n",
    "voting_palette = [\"#FB6962\",\"#FCFC99\",\"#79DE79\"]\n",
    "\n",
    "fig = plt.figure(figsize=(8,8))\n",
    "sns.heatmap(votes_hmn,\n",
    "            square=False,\n",
    "            yticklabels = False,\n",
    "            cbar=False,\n",
    "            cmap=sns.color_palette(voting_palette),\n",
    "           )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This visualisation alone can provide some initial insights; for example, the IDG seems to abstain more than the rest, and the ECR group appears to vote against more than the average. In general groups in the centre-right to right-wing seem to vote more Against than the others."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Who votes with whom? Determining convergence in voting\n",
    "\n",
    "An initial approach to determine how similar or dissimilar the groups are is simply to determine how many times they have voted exactly in the same way, which is what the following table reflects:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "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>GUE-NGL</th>\n",
       "      <th>S&amp;D</th>\n",
       "      <th>Greens/EFA</th>\n",
       "      <th>REG</th>\n",
       "      <th>EPP</th>\n",
       "      <th>ECR</th>\n",
       "      <th>IDG</th>\n",
       "      <th>NI</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>GUE-NGL</th>\n",
       "      <td>3299</td>\n",
       "      <td>2318</td>\n",
       "      <td>2670</td>\n",
       "      <td>2026</td>\n",
       "      <td>1612</td>\n",
       "      <td>978</td>\n",
       "      <td>940</td>\n",
       "      <td>2433</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>S&amp;D</th>\n",
       "      <td>2318</td>\n",
       "      <td>3299</td>\n",
       "      <td>2642</td>\n",
       "      <td>2841</td>\n",
       "      <td>2449</td>\n",
       "      <td>1571</td>\n",
       "      <td>1087</td>\n",
       "      <td>2536</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Greens/EFA</th>\n",
       "      <td>2670</td>\n",
       "      <td>2642</td>\n",
       "      <td>3299</td>\n",
       "      <td>2370</td>\n",
       "      <td>1943</td>\n",
       "      <td>1184</td>\n",
       "      <td>866</td>\n",
       "      <td>2690</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>REG</th>\n",
       "      <td>2026</td>\n",
       "      <td>2841</td>\n",
       "      <td>2370</td>\n",
       "      <td>3299</td>\n",
       "      <td>2708</td>\n",
       "      <td>1790</td>\n",
       "      <td>1233</td>\n",
       "      <td>2255</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EPP</th>\n",
       "      <td>1612</td>\n",
       "      <td>2449</td>\n",
       "      <td>1943</td>\n",
       "      <td>2708</td>\n",
       "      <td>3299</td>\n",
       "      <td>2162</td>\n",
       "      <td>1504</td>\n",
       "      <td>1947</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ECR</th>\n",
       "      <td>978</td>\n",
       "      <td>1571</td>\n",
       "      <td>1184</td>\n",
       "      <td>1790</td>\n",
       "      <td>2162</td>\n",
       "      <td>3299</td>\n",
       "      <td>1916</td>\n",
       "      <td>1265</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IDG</th>\n",
       "      <td>940</td>\n",
       "      <td>1087</td>\n",
       "      <td>866</td>\n",
       "      <td>1233</td>\n",
       "      <td>1504</td>\n",
       "      <td>1916</td>\n",
       "      <td>3299</td>\n",
       "      <td>1028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NI</th>\n",
       "      <td>2433</td>\n",
       "      <td>2536</td>\n",
       "      <td>2690</td>\n",
       "      <td>2255</td>\n",
       "      <td>1947</td>\n",
       "      <td>1265</td>\n",
       "      <td>1028</td>\n",
       "      <td>3299</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            GUE-NGL   S&D  Greens/EFA   REG   EPP   ECR   IDG    NI\n",
       "GUE-NGL        3299  2318        2670  2026  1612   978   940  2433\n",
       "S&D            2318  3299        2642  2841  2449  1571  1087  2536\n",
       "Greens/EFA     2670  2642        3299  2370  1943  1184   866  2690\n",
       "REG            2026  2841        2370  3299  2708  1790  1233  2255\n",
       "EPP            1612  2449        1943  2708  3299  2162  1504  1947\n",
       "ECR             978  1571        1184  1790  2162  3299  1916  1265\n",
       "IDG             940  1087         866  1233  1504  1916  3299  1028\n",
       "NI             2433  2536        2690  2255  1947  1265  1028  3299"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import collections\n",
    "\n",
    "import numpy as np\n",
    "pv_list = []\n",
    "#print(\"Total voting instances: \", votes_hm.shape[0])\n",
    "\n",
    "## Not necessarily the most straightforard way (check .crosstab or .pivot_table, possibly with pandas.melt and/or groupby)\n",
    "## but follows the same approach as before in using a list of dicts\n",
    "for party in votes_hm.columns:\n",
    "    pv_dict = collections.OrderedDict()\n",
    "    for column in votes_hmn:\n",
    "        pv_dict[column]=votes_hmn[votes_hmn[party] == votes_hmn[column]].shape[0]\n",
    "    pv_list.append(pv_dict)\n",
    "\n",
    "pv = pd.DataFrame(pv_list,index=votes_hm.columns)\n",
    "pv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using a heatmap (but this time for a different purpose and with different options) we can visualise that data in a better way."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8))\n",
    "ax = fig.add_subplot()\n",
    "\n",
    "sns.heatmap(\n",
    "    pv,\n",
    "    cmap=sns.color_palette(\"mako_r\"),\n",
    "    linewidth=1,\n",
    "    annot = True,\n",
    "    square =True,\n",
    "    fmt=\"d\",\n",
    "    cbar_kws={\"shrink\": 0.8})\n",
    "plt.title('European Parliament, identical voting count (2020-08-01 to 2021-01-01)')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "From this we can see, for example, that the party with whom GUE/NGL has converged the least is the IDG (and vice-versa), or that S&D converges more with the REG (and vice-versa).\n",
    "This approach, while already useful, only considers the proximity based on absolute convergence - is there a better way?\n",
    "\n",
    "## The Distance Matrix of the political groups\n",
    "\n",
    "One improvement is to reflect the differences in voting behaviour: a party that votes In Favour is closer to a party that Abstains than to one that votes Against.\n",
    "Based on this principle we compute the euclidean pairwise distance between all groups and create a distance matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "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>GUE-NGL</th>\n",
       "      <th>S&amp;D</th>\n",
       "      <th>Greens/EFA</th>\n",
       "      <th>REG</th>\n",
       "      <th>EPP</th>\n",
       "      <th>ECR</th>\n",
       "      <th>IDG</th>\n",
       "      <th>NI</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>GUE-NGL</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>59.974995</td>\n",
       "      <td>45.155288</td>\n",
       "      <td>69.354164</td>\n",
       "      <td>80.318118</td>\n",
       "      <td>90.972523</td>\n",
       "      <td>89.218832</td>\n",
       "      <td>52.009614</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>S&amp;D</th>\n",
       "      <td>59.974995</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>48.435524</td>\n",
       "      <td>41.988094</td>\n",
       "      <td>57.323643</td>\n",
       "      <td>77.711003</td>\n",
       "      <td>86.434947</td>\n",
       "      <td>49.879856</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Greens/EFA</th>\n",
       "      <td>45.155288</td>\n",
       "      <td>48.435524</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>58.932164</td>\n",
       "      <td>71.833140</td>\n",
       "      <td>86.377080</td>\n",
       "      <td>90.746901</td>\n",
       "      <td>42.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>REG</th>\n",
       "      <td>69.354164</td>\n",
       "      <td>41.988094</td>\n",
       "      <td>58.932164</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>47.906158</td>\n",
       "      <td>72.166474</td>\n",
       "      <td>83.078276</td>\n",
       "      <td>60.224580</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EPP</th>\n",
       "      <td>80.318118</td>\n",
       "      <td>57.323643</td>\n",
       "      <td>71.833140</td>\n",
       "      <td>47.906158</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>60.819405</td>\n",
       "      <td>76.256147</td>\n",
       "      <td>69.598851</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ECR</th>\n",
       "      <td>90.972523</td>\n",
       "      <td>77.711003</td>\n",
       "      <td>86.377080</td>\n",
       "      <td>72.166474</td>\n",
       "      <td>60.819405</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>60.149813</td>\n",
       "      <td>82.903558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IDG</th>\n",
       "      <td>89.218832</td>\n",
       "      <td>86.434947</td>\n",
       "      <td>90.746901</td>\n",
       "      <td>83.078276</td>\n",
       "      <td>76.256147</td>\n",
       "      <td>60.149813</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>85.924385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NI</th>\n",
       "      <td>52.009614</td>\n",
       "      <td>49.879856</td>\n",
       "      <td>42.000000</td>\n",
       "      <td>60.224580</td>\n",
       "      <td>69.598851</td>\n",
       "      <td>82.903558</td>\n",
       "      <td>85.924385</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              GUE-NGL        S&D  Greens/EFA        REG        EPP        ECR  \\\n",
       "GUE-NGL      0.000000  59.974995   45.155288  69.354164  80.318118  90.972523   \n",
       "S&D         59.974995   0.000000   48.435524  41.988094  57.323643  77.711003   \n",
       "Greens/EFA  45.155288  48.435524    0.000000  58.932164  71.833140  86.377080   \n",
       "REG         69.354164  41.988094   58.932164   0.000000  47.906158  72.166474   \n",
       "EPP         80.318118  57.323643   71.833140  47.906158   0.000000  60.819405   \n",
       "ECR         90.972523  77.711003   86.377080  72.166474  60.819405   0.000000   \n",
       "IDG         89.218832  86.434947   90.746901  83.078276  76.256147  60.149813   \n",
       "NI          52.009614  49.879856   42.000000  60.224580  69.598851  82.903558   \n",
       "\n",
       "                  IDG         NI  \n",
       "GUE-NGL     89.218832  52.009614  \n",
       "S&D         86.434947  49.879856  \n",
       "Greens/EFA  90.746901  42.000000  \n",
       "REG         83.078276  60.224580  \n",
       "EPP         76.256147  69.598851  \n",
       "ECR         60.149813  82.903558  \n",
       "IDG          0.000000  85.924385  \n",
       "NI          85.924385   0.000000  "
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from scipy.spatial.distance import squareform\n",
    "from scipy.spatial.distance import pdist\n",
    "import scipy.spatial as sp, scipy.cluster.hierarchy as hc\n",
    "from itables import show\n",
    "\n",
    "votes_hmn = votes_hmn\n",
    "\n",
    "## Transpose the dataframe used for the heatmap\n",
    "votes_t = votes_hmn.transpose()\n",
    "\n",
    "## Determine the Eucledian pairwise distance\n",
    "## (\"euclidean\" is actually the default option)\n",
    "pwdist = pdist(votes_t, metric='euclidean')\n",
    "\n",
    "## Create a square dataframe with the pairwise distances: the distance matrix\n",
    "distmat = pd.DataFrame(\n",
    "    squareform(pwdist), # pass a symmetric distance matrix\n",
    "    columns = votes_t.index,\n",
    "    index = votes_t.index\n",
    ")\n",
    "\n",
    "distmat"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The findings can be read in a similar way to the previous analysis: for example, the Greens/EFA is closer to the NI group and furthest awy from the IDG, while the EPP is most distant from GUE/NGL and has the REG has the closest group.\n",
    "\n",
    "This pairwise analysis can fortunately be groups automatically; for this we use Ward clustering to obtain a dendogram that can be combined with a heatmap: a *clustermap* that has the advantage of automatically reordering the columns and rows to show how the groups are positioned in terms of distance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Perform hierarchical linkage on the distance matrix using Ward's method.\n",
    "distmat_link = hc.linkage(pwdist, method=\"ward\", optimal_ordering=True)\n",
    "\n",
    "sns.clustermap(\n",
    "    distmat,\n",
    "    annot = True,\n",
    "    cmap=sns.color_palette(\"Greens_r\"),\n",
    "    linewidth=1,\n",
    "    #standard_scale=1,\n",
    "    row_linkage=distmat_link,\n",
    "    col_linkage=distmat_link,\n",
    "    figsize=(10,10)).fig.suptitle('European Parliament, euclidean distance and Ward clustering \\n(2020-08-01 to 2021-01-01), Clustermap')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results are much more readable: we can clearly see that:\n",
    "\n",
    "* The first split separates the IDG and ECR from the rest.\n",
    "* The next split separates the EPP, REF and S&D (the last two closer together)\n",
    "* Finally the GUE/NGL, the Greens/EFA and the NI constitute a separate branch (with GUE/NGL branching out first)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DBSCAN and Spectrum Clustering\n",
    "\n",
    "An additional line of inquery is to determine, based on the relative affinity, how many groups can be identified, or how do the parties cluster when divided by a fixed number of clusters.\n",
    "\n",
    "The first step in answering this is to compute the affinity matrix from the distance matrix. We start by normalising the distance matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "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>GUE-NGL</th>\n",
       "      <th>S&amp;D</th>\n",
       "      <th>Greens/EFA</th>\n",
       "      <th>REG</th>\n",
       "      <th>EPP</th>\n",
       "      <th>ECR</th>\n",
       "      <th>IDG</th>\n",
       "      <th>NI</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>GUE-NGL</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.659265</td>\n",
       "      <td>0.496362</td>\n",
       "      <td>0.762364</td>\n",
       "      <td>0.882883</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.980723</td>\n",
       "      <td>0.571707</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>S&amp;D</th>\n",
       "      <td>0.659265</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.532419</td>\n",
       "      <td>0.461547</td>\n",
       "      <td>0.630120</td>\n",
       "      <td>0.854225</td>\n",
       "      <td>0.950121</td>\n",
       "      <td>0.548296</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Greens/EFA</th>\n",
       "      <td>0.496362</td>\n",
       "      <td>0.532419</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.647802</td>\n",
       "      <td>0.789614</td>\n",
       "      <td>0.949485</td>\n",
       "      <td>0.997520</td>\n",
       "      <td>0.461678</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>REG</th>\n",
       "      <td>0.762364</td>\n",
       "      <td>0.461547</td>\n",
       "      <td>0.647802</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.526600</td>\n",
       "      <td>0.793278</td>\n",
       "      <td>0.913224</td>\n",
       "      <td>0.662008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EPP</th>\n",
       "      <td>0.882883</td>\n",
       "      <td>0.630120</td>\n",
       "      <td>0.789614</td>\n",
       "      <td>0.526600</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.668547</td>\n",
       "      <td>0.838233</td>\n",
       "      <td>0.765054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ECR</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.854225</td>\n",
       "      <td>0.949485</td>\n",
       "      <td>0.793278</td>\n",
       "      <td>0.668547</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.661187</td>\n",
       "      <td>0.911303</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IDG</th>\n",
       "      <td>0.980723</td>\n",
       "      <td>0.950121</td>\n",
       "      <td>0.997520</td>\n",
       "      <td>0.913224</td>\n",
       "      <td>0.838233</td>\n",
       "      <td>0.661187</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.944509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NI</th>\n",
       "      <td>0.571707</td>\n",
       "      <td>0.548296</td>\n",
       "      <td>0.461678</td>\n",
       "      <td>0.662008</td>\n",
       "      <td>0.765054</td>\n",
       "      <td>0.911303</td>\n",
       "      <td>0.944509</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             GUE-NGL       S&D  Greens/EFA       REG       EPP       ECR  \\\n",
       "GUE-NGL     0.000000  0.659265    0.496362  0.762364  0.882883  1.000000   \n",
       "S&D         0.659265  0.000000    0.532419  0.461547  0.630120  0.854225   \n",
       "Greens/EFA  0.496362  0.532419    0.000000  0.647802  0.789614  0.949485   \n",
       "REG         0.762364  0.461547    0.647802  0.000000  0.526600  0.793278   \n",
       "EPP         0.882883  0.630120    0.789614  0.526600  0.000000  0.668547   \n",
       "ECR         1.000000  0.854225    0.949485  0.793278  0.668547  0.000000   \n",
       "IDG         0.980723  0.950121    0.997520  0.913224  0.838233  0.661187   \n",
       "NI          0.571707  0.548296    0.461678  0.662008  0.765054  0.911303   \n",
       "\n",
       "                 IDG        NI  \n",
       "GUE-NGL     0.980723  0.571707  \n",
       "S&D         0.950121  0.548296  \n",
       "Greens/EFA  0.997520  0.461678  \n",
       "REG         0.913224  0.662008  \n",
       "EPP         0.838233  0.765054  \n",
       "ECR         0.661187  0.911303  \n",
       "IDG         0.000000  0.944509  \n",
       "NI          0.944509  0.000000  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "distmat_mm=((distmat-distmat.min().min())/(distmat.max().max()-distmat.min().min()))*1\n",
    "pd.DataFrame(distmat_mm, distmat.index, distmat.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now obtain the affinity matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "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>GUE-NGL</th>\n",
       "      <th>S&amp;D</th>\n",
       "      <th>Greens/EFA</th>\n",
       "      <th>REG</th>\n",
       "      <th>EPP</th>\n",
       "      <th>ECR</th>\n",
       "      <th>IDG</th>\n",
       "      <th>NI</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>GUE-NGL</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.340735</td>\n",
       "      <td>0.503638</td>\n",
       "      <td>0.237636</td>\n",
       "      <td>0.117117</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.019277</td>\n",
       "      <td>0.428293</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>S&amp;D</th>\n",
       "      <td>0.340735</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.467581</td>\n",
       "      <td>0.538453</td>\n",
       "      <td>0.369880</td>\n",
       "      <td>0.145775</td>\n",
       "      <td>0.049879</td>\n",
       "      <td>0.451704</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Greens/EFA</th>\n",
       "      <td>0.503638</td>\n",
       "      <td>0.467581</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.352198</td>\n",
       "      <td>0.210386</td>\n",
       "      <td>0.050515</td>\n",
       "      <td>0.002480</td>\n",
       "      <td>0.538322</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>REG</th>\n",
       "      <td>0.237636</td>\n",
       "      <td>0.538453</td>\n",
       "      <td>0.352198</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.473400</td>\n",
       "      <td>0.206722</td>\n",
       "      <td>0.086776</td>\n",
       "      <td>0.337992</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EPP</th>\n",
       "      <td>0.117117</td>\n",
       "      <td>0.369880</td>\n",
       "      <td>0.210386</td>\n",
       "      <td>0.473400</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.331453</td>\n",
       "      <td>0.161767</td>\n",
       "      <td>0.234946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ECR</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.145775</td>\n",
       "      <td>0.050515</td>\n",
       "      <td>0.206722</td>\n",
       "      <td>0.331453</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.338813</td>\n",
       "      <td>0.088697</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>IDG</th>\n",
       "      <td>0.019277</td>\n",
       "      <td>0.049879</td>\n",
       "      <td>0.002480</td>\n",
       "      <td>0.086776</td>\n",
       "      <td>0.161767</td>\n",
       "      <td>0.338813</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.055491</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NI</th>\n",
       "      <td>0.428293</td>\n",
       "      <td>0.451704</td>\n",
       "      <td>0.538322</td>\n",
       "      <td>0.337992</td>\n",
       "      <td>0.234946</td>\n",
       "      <td>0.088697</td>\n",
       "      <td>0.055491</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             GUE-NGL       S&D  Greens/EFA       REG       EPP       ECR  \\\n",
       "GUE-NGL     1.000000  0.340735    0.503638  0.237636  0.117117  0.000000   \n",
       "S&D         0.340735  1.000000    0.467581  0.538453  0.369880  0.145775   \n",
       "Greens/EFA  0.503638  0.467581    1.000000  0.352198  0.210386  0.050515   \n",
       "REG         0.237636  0.538453    0.352198  1.000000  0.473400  0.206722   \n",
       "EPP         0.117117  0.369880    0.210386  0.473400  1.000000  0.331453   \n",
       "ECR         0.000000  0.145775    0.050515  0.206722  0.331453  1.000000   \n",
       "IDG         0.019277  0.049879    0.002480  0.086776  0.161767  0.338813   \n",
       "NI          0.428293  0.451704    0.538322  0.337992  0.234946  0.088697   \n",
       "\n",
       "                 IDG        NI  \n",
       "GUE-NGL     0.019277  0.428293  \n",
       "S&D         0.049879  0.451704  \n",
       "Greens/EFA  0.002480  0.538322  \n",
       "REG         0.086776  0.337992  \n",
       "EPP         0.161767  0.234946  \n",
       "ECR         0.338813  0.088697  \n",
       "IDG         1.000000  0.055491  \n",
       "NI          0.055491  1.000000  "
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "affinmat_mm = pd.DataFrame(1-distmat_mm, distmat.index, distmat.columns)\n",
    "affinmat_mm "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use *Density-based spatial clustering of applications with noise* (DBSCAN) to as our data clustering algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'GUE-NGL': 0,\n",
       " 'S&D': 0,\n",
       " 'Greens/EFA': 0,\n",
       " 'REG': 0,\n",
       " 'EPP': 0,\n",
       " 'ECR': -1,\n",
       " 'IDG': -1,\n",
       " 'NI': 0}"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "\n",
    "dbscan_labels = DBSCAN(eps=1.1).fit(affinmat_mm)\n",
    "dbscan_labels.labels_\n",
    "dbscan_dict = dict(zip(distmat_mm,dbscan_labels.labels_))\n",
    "dbscan_dict"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We get a simple split that identified the ECR and the IDG on one side, and all the others grouped together on the other cluster."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A different approach is to use *Spectral Clustering*, an algorithm that can be initialised with a pre-determine naumber of clusters; here we set it at 3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'GUE-NGL': 2, 'S&D': 0, 'Greens/EFA': 2, 'REG': 0, 'EPP': 0, 'ECR': 1, 'IDG': 1, 'NI': 2}\n"
     ]
    }
   ],
   "source": [
    "from sklearn.cluster import SpectralClustering\n",
    "sc = SpectralClustering(3, affinity=\"precomputed\",random_state=2020).fit_predict(affinmat_mm)\n",
    "sc_dict = dict(zip(distmat,sc))\n",
    "\n",
    "print(sc_dict)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results are consistent with what one would expect when looking at the previous clustermap:\n",
    "* One group with the ECR and IDG\n",
    "* One group with the S&D, REG and EPP\n",
    "* One group with the GUE/NGL, Greens/EFA and NI"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multidimensional Scaling\n",
    "\n",
    "Based on what we've done above we can now visualise the relative distances between all the groups in a map: this can be achieved by Multi-dimensional scaling, a method that reduces the dimensions while keeping the relative distances.\n",
    "\n",
    "What this means is that we can reduce to 2 or 3 dimensions and obtain a plot of how close the parties are that maintains the relative distance; we can also use the information obtained from Spectral Clustering in the form of the colours od the data points, thus combining relative distance and clustering."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import MDS\n",
    "\n",
    "mds = MDS(n_components=2, dissimilarity='precomputed',random_state=2020, n_init=100, max_iter=1000)\n",
    "\n",
    "## We use the normalised distance matrix but results would\n",
    "## be similar with the original one, just with a different scale/axis\n",
    "results = mds.fit(distmat_mm.values)\n",
    "coords = results.embedding_\n",
    "coords\n",
    "## Graphic options\n",
    "sns.set()\n",
    "sns.set_style(\"ticks\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8,8))\n",
    "\n",
    "plt.title('European Parliament, MDS \\n(2020-08-01 to 2021-01-01)', fontsize=14)\n",
    "\n",
    "for label, x, y in zip(distmat_mm.columns, coords[:, 0], coords[:, 1]):\n",
    "    ax.scatter(x, y, c = \"C\"+str(sc_dict[label]), s=250)\n",
    "    ax.axis('equal')\n",
    "    ax.annotate(label,xy = (x-0.02, y+0.025))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This view is perhaps one of the most useful in getting an overview of how the political groups relate to each other based on their voting records.\n",
    "\n",
    "The 3D equivalent can be seen here:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [],
   "source": [
    "## From https://stackoverflow.com/questions/10374930/matplotlib-annotating-a-3d-scatter-plot\n",
    "\n",
    "from mpl_toolkits.mplot3d.proj3d import proj_transform\n",
    "from matplotlib.text import Annotation\n",
    "\n",
    "class Annotation3D(Annotation):\n",
    "    '''Annotate the point xyz with text s'''\n",
    "\n",
    "    def __init__(self, s, xyz, *args, **kwargs):\n",
    "        Annotation.__init__(self,s, xy=(0,0), *args, **kwargs)\n",
    "        self._verts3d = xyz        \n",
    "\n",
    "    def draw(self, renderer):\n",
    "        xs3d, ys3d, zs3d = self._verts3d\n",
    "        xs, ys, zs = proj_transform(xs3d, ys3d, zs3d, renderer.M)\n",
    "        self.xy=(xs,ys)\n",
    "        Annotation.draw(self, renderer)\n",
    "        \n",
    "def annotate3D(ax, s, *args, **kwargs):\n",
    "    '''add anotation text s to to Axes3d ax'''\n",
    "\n",
    "    tag = Annotation3D(s, *args, **kwargs)\n",
    "    ax.add_artist(tag)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_582258/115050311.py:15: MatplotlibDeprecationWarning: \n",
      "The M attribute was deprecated in Matplotlib 3.4 and will be removed two minor releases later. Use self.axes.M instead.\n",
      "  xs, ys, zs = proj_transform(xs3d, ys3d, zs3d, renderer.M)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import MDS\n",
    "import mpl_toolkits.mplot3d\n",
    "import random\n",
    "mds = MDS(n_components=3, dissimilarity='precomputed',random_state=2020, n_init=100, max_iter=1000)\n",
    "\n",
    "## We use the normalised distance matrix but results would\n",
    "## be similar with the original one, just with a different scale/axis\n",
    "results = mds.fit(distmat_mm.values)\n",
    "coords = results.embedding_\n",
    "coords\n",
    "## Graphic options\n",
    "sns.set()\n",
    "sns.set_style(\"ticks\")\n",
    "\n",
    "\n",
    "fig = plt.figure(figsize=(10,10))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "fig.suptitle('European Parliament, MDS \\n(2020-08-01 to 2021-01-01)', fontsize=14)\n",
    "ax.set_title('MDS with Spectrum Scaling clusters (3D)')\n",
    "\n",
    "for label, x, y, z in zip(distmat_mm.columns, coords[:, 0], coords[:, 1], coords[:, 2]):\n",
    "    #ax.scatter(x, y, c = \"C\"+str(sc_dict[label]), s=250)\n",
    "    ax.scatter(x, y, z, c=\"C\"+str(sc_dict[label]),s=250)\n",
    "    annotate3D(ax, s=str(label), xyz=[x,y,z], fontsize=10, xytext=(-3,3),\n",
    "               textcoords='offset points', ha='right',va='bottom')  \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MDS per Policy Area"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally we can apply the 2D MDS and clustering to each individual Policy Area; the approach is the same but applied to a subset of the votes, providing the relative distance of the parties in the different domains."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Xr16y2Wyy2Wzq1q2bdu3alS/UfXx85OPj447SAACoNNxyT71OnToKCQlRQkKCJCkhIUEhISEuQ+/S5XvtGzZskGEYys3N1aZNm3T77be7owQAACo9tw2/T5w4UePGjdOsWbPk4+Oj2NhYSdLw4cM1ZswYtWrVSn369NGePXsUHh4uDw8PdezYUQ8++KC7SgAA/E7Xrl11+vRp5zNPkhQVFaXx48crNTVVb7/9ttavX6+LFy/K399f4eHhevzxx1W9enUFBwerWrVqslgs8vb2Vnh4uF544QWXbaF8cVuoBwUFKS4uLt/yefPmOX/38PDQSy+9pJdeeslduwUA3MTs2bPVoUMHl2Xp6el6+OGHFRoaqo8++kiBgYFKSkrS/PnzdezYMeco6qpVq9S4cWMdPXpUjzzyiIKCgvTQQw+VxWGgAHijHABUQgsXLlSNGjX0//7f/5OHx+U7sQEBAXr55Zev2b5x48a68847tW/fvtIsE4XEu98BoBL673//qx49ejgD/WYOHjyobdu2qXHjxiVcGYqDK3UAMLmnn37a5T74Cy+8oPT0dOeLwG4kKipKeXl5ysrKUp8+fTRo0KCSLBXFRKgDgMnNnDkz3z31jz/+WKdOnbpp3/j4eDVq1Eiff/65/vnPfyozM5PXe5djDL8DQCXUvn17rVmzRnl5eTdta7FYFB4errZt22rmzJmlUB2KilAHgEpoyJAhunjxol588UWdOHFCkpSSkqI33nhD+/fvv2afESNGKC4urkBX+CgbhDoAmNzIkSMVGhrq/Hn66adVu3Ztffjhh6pSpYoeeughhYaGavDgwapZs+Z1H4YLDg5Wu3btNH/+/FI+AhQU99QBwMS+/vrr667z9/fXG2+8cd31P/30U75l7733nlvqQskg1AGgEjAMQ9nHflT6pk9kTz4kI9cui6dNtvrNVPueSFVtdEe+GTNR8RDqAGBymQe361Tiu8rLuigjN0eScXlFzkVlHfhB2Ud/lLWat+qGj1T1oNAyrRXFwz11ADCxjB1fKeXjKXJknJGRmy1noDsZMnKzdSnjtFI+nqKMHV+VRZlwE0IdAEwq8+B2nfnyPRmX7AVqb1yy68yX7ynz4PYSrgwlhVAHABMyDEOnEt8tcKA7+12y63TibBnG76/oUREQ6gBgQtnHflRe1sUi9XVkXVD2sb1urgilgVAHABNK3/TJbw/FFZ6Rm6Nzmz9xc0UoDYQ6AJiQPfmQ8j8UV1CGcpIOubMclBJCHQBMyMgt3L30fP0vFe0qH2WLUAcAE7J4Fm8mNUsVLzdVgtJEqAOACdnqN5NU1DfEWeQV0Myd5aCUEOoAYEK17+kni2fRrrYtnl6qFdbPzRWhNBDqAGBCVRu1kEe1GkXqa63mraqN7nBzRSgNhDoAmJDFYpFf+JOyVCncvXVLFZvqho9kcpcKilAHAJOqHhSqOj0fL3CwW6rYVKfXcCZ1qcCYpQ0ATMynbTdVqemr04mz5ci64DpLmyTJIounF7O0mQShDgAmVz0oVA1HzVb2sb1K37RK9uTDMi7lyFLFS14BzVTrnn6q2pD51M2AUAeASsBisaha4xaq1rhFWZeCEsQ9dQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJNwW6ocPH9bAgQPVs2dPDRw4UEeOHLlu20OHDqlNmzaKjY111+4BAKj03BbqEyZM0KBBg/Tll19q0KBBGj9+/DXbORwOTZgwQd27d3fXrgEAgNwU6mfOnNHevXsVEREhSYqIiNDevXuVlpaWr+3cuXN13333qUmTJtfdXkZGho4fP+7yk5yc7I5SAQAwrSru2EhSUpL8/f1ltVolSVarVfXq1VNSUpJ8fX2d7fbv368NGzZoyZIlmjVr1nW3t3jxYs2YMcMdpQEAUGm4JdQLIjc3V6+88oreeOMNZ/hfz+DBgxUVFeWyLDk5WTExMSVZIgAAFZpbQj0gIEApKSlyOByyWq1yOBxKTU1VQECAs82pU6d07NgxjRgxQtLlIXbDMHThwgW99tprLtvz8fGRj4+PO0oDAKDScEuo16lTRyEhIUpISFBkZKQSEhIUEhLiMvTeoEEDbd682fn5nXfeUWZmpl588UV3lAAAQKXntqffJ06cqA8++EA9e/bUBx98oEmTJkmShg8frt27d7trNwAA4Drcdk89KChIcXFx+ZbPmzfvmu1Hjx7trl0DAADxRjkAAEyDUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCSqlHUBAAAUVteuXfWPf/xDycnJ+vvf/66qVatKkm655RaFhYVpxIgRatq0qbO93W7X3Llz9emnnyolJUU1a9ZUcHCw/vznP6tjx45ldRhuR6gDACq0tm3b6sMPP5TD4dCJEye0YMECRUdHa9myZbrtttskSWPGjFFqaqqmTJmikJAQSdKmTZu0bt06Qh0AgPLGarWqUaNGmjhxopKSkjRjxgxNnz5dGzdu1MaNG7V69WrVr1/f2b5z587q3LlzGVbsftxTBwCYTo8ePbR161ZJ0saNG9WmTRuXQDcrrtQBAKZTr149nTt3TpJ09uxZ1a1b17kuPT1d3bt3l2EYstvt2r17d1mV6XZcqQMATCclJUW1atWSJNWuXVunTp1yrqtdu7a2bt2qFStWyG63l1WJJYJQBwCYztq1a9WuXTtJUvv27bV7924lJyeXcVUlj1AHAJiCw+HQr7/+qtdee03ff/+9nn76aUlSx44dFRYWpqeeeko7d+6U3W5Xbm6uduzYUbYFlwDuqQMAKrQdO3YoNDRUhmHolltu0d13362PP/5YQUFBzjYzZszQnDlz9PzzzzuH5m+77TbNnz+/DCt3P0IdAFDhfP31187fo6Ojb9reZrNp9OjRGj16dEmWVeYIdQBAhWYYhrKP/aj0TZ/InnxIRq5dFk+bbPWbqfY9kara6A5ZLJayLrNUEOoAgAor8+B2nUp8V3lZF2Xk5kgyLq/IuaisAz8o++iPslbzVt3wkaoeFFqmtZYGHpQDAFRIGTu+UsrHU+TIOCMjN1vOQHcyZORm61LGaaV8PEUZO74qizJLFaEOAKhwMg9u15kv35NxqWDfMzcu2XXmy/eUeXB7CVdWtgh1AECFYhiGTiW+W+BAd/a7ZNfpxNkyjN9f0ZsHoQ4AqFCyj/2ovKyLRerryLqg7GN73VxR+UGoAwAqlPRNn/z2UFzhGbk5Orf5EzdXVH4Q6gCACsWefEj5H4orKEM5SYfcWU65QqgDACoUI7d4k7AYl4p2lV8REOoAgArF4mkrXv8qXm6qpPwh1AEAFYqtfjNJRX1DnEVeAc3cWU65QqgDACqU2vf0k8WzaFfbFk8v1Qrr5+aKyg9CHQBQoVRt1EIe1WoUqa+1mreqNrrDzRWVH4Q6AKBCsVgs8gt/UpYqhbu3bqliU93wkaae3IVQBwBUONWDQlWn5+MFDnZLFZvq9Bpu+kld3DZL2+HDhzVu3Dilp6erdu3aio2NVZMmTVzazJw5U4mJifLw8JCnp6eeffZZderUyV0lAAAqEZ+23VSlpq9OJ86WI+uC6yxtkiSLLJ5elWqWNreF+oQJEzRo0CBFRkZq1apVGj9+vJYsWeLSpnXr1ho6dKiqVaum/fv365FHHtGGDRtUtWpVd5UBAKhEqgeFquGo2co+tlfpm1bJnnxYxqUcWap4ySugmWrd009VGzKfeqGcOXNGe/fu1cKFCyVJEREReu2115SWliZfX19nu6uvyoODg2UYhtLT01W/fn2X7WVkZCgjI8NlWXJysjtKBQCYjMViUbXGLVStcYuyLqXMuSXUk5KS5O/vL6vVKkmyWq2qV6+ekpKSXEL9aitXrlSjRo3yBbokLV68WDNmzHBHaQAAVBpuG34vjO+//17Tpk3TggULrrl+8ODBioqKclmWnJysmJiY0igPAIAKyS2hHhAQoJSUFDkcDlmtVjkcDqWmpiogICBf2+3bt+v555/XrFmz1KzZtd/q4+PjIx8fH3eUBgBApeGWr7TVqVNHISEhSkhIkCQlJCQoJCQk39D7rl279Oyzz2r69Olq0YJ7HwAAuJPbvqc+ceJEffDBB+rZs6c++OADTZo0SZI0fPhw7d69W5I0adIkZWdna/z48YqMjFRkZKR++uknd5UAAECl5rZ76kFBQYqLi8u3fN68ec7fly9f7q7dAQCA3+GNcgAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYRJWyLsDsunbtqtOnT8tqtap69erq1KmTXnnlFdWoUUPjxo1TQkKCPD09ne0bNmyoTz75RJJkt9s1d+5cffrpp0pJSVHNmjUVHBysP//5z+rYsWNZHRIAoJxyW6gfPnxY48aNU3p6umrXrq3Y2Fg1adLEpY3D4dA//vEPfffdd7JYLBoxYoQGDBjgrhLKrdmzZ6tDhw46deqUhg0bprlz5+rZZ5+VJA0bNsz5+++NGTNGqampmjJlikJCQiRJmzZt0rp16wh1AEA+bgv1CRMmaNCgQYqMjNSqVas0fvx4LVmyxKXNp59+qmPHjmn16tVKT09X//791b59ewUGBrqrjHLNz89PHTt21L59+27aduPGjdq4caNWr16t+vXrO5d37txZnTt3LskyAQAVlFvuqZ85c0Z79+5VRESEJCkiIkJ79+5VWlqaS7vExEQNGDBAHh4e8vX1Vffu3fXFF1/k215GRoaOHz/u8pOcnOyOUstUcnKyvvvuOzVq1OimbTdu3Kg2bdq4BDoAADfiliv1pKQk+fv7y2q1SpKsVqvq1aunpKQk+fr6urRr0KCB83NAQMA1w3rx4sWaMWOGO0orF55++mlJUmZmpu655x6NGTPGuW7BggVaunSp83O3bt0UGxurs2fPqm7dus7l6enp6t69uwzDkN1u1+7du0vvAAAAFUK5fFBu8ODBioqKclmWnJysmJiYMqqoeGbOnKkOHTro+++/11//+ledPXtWPj4+kqShQ4de85567dq1dfToUZfPW7du1dGjR3X//feXWu0AgIrDLcPvAQEBSklJkcPhkHT5gbjU1FQFBATka3fy5Enn56SkpGsOL/v4+CgwMNDlxwzD0Hfffbeio6MVGxt707bt27fX7t27TXHbAQBQOtwS6nXq1FFISIgSEhIkSQkJCQoJCXEZepekXr16KS4uTnl5eUpLS9PatWvVs2dPd5RQYQwePFgbN27U/v37b9iuY8eOCgsL01NPPaWdO3fKbrcrNzdXO3bsKJ1CAQAVjtuG3ydOnKhx48Zp1qxZ8vHxcV6NDh8+XGPGjFGrVq0UGRmpnTt3OoePn376aTVs2NBdJVQIvr6+ioyM1MyZM1WjRg3Nnz/f5VsCNptNmzdvliTNmDFDc+bM0fPPP6+UlBTVqlVLt912m+bPn19W5QMAyjGLYRhGWRdREMePH1e3bt301VdfVZqvwAEAKrfCZl+5fFDOrAzD0J6DZxT/7QEdPH5OOXaHvGxWBQXWUtR9zdWyWR1ZLJayLhMAUEER6qVk2/4UzYjbqQuZduXYHboyPHIxO1dn92Zr94HTqlndplED2urO2+uVaa0AgIqJCV1KwZrvj2ryoi06nZ6l7KsC/QpDUrbdoVPpWXp90fda8/3Ra20GAIAbItRL2Lb9KZq9YrfsuY4CtbfnOjR7xW5t259SwpUBAMyGUC9BhmFoRtzOAgf6FfZch2bG7VQFeYYRAFBOEOolaM/BM7qQaS9S3/OZdu05dMbNFQEAzIxQL0Hx3x5Qjr1wV+lX5NgdWrnugJsrAgCYGaFegg4eP5fvobiCMiQdOH7OneUAAEyOUC9BRb1Kd/Yv5L14AEDlRqiXIC+btXj9PYvXHwBQuRDqJSgosJaK+n44i6TmgbXcWQ4AwOQI9RIU9cfmRb5a97JZ1f++5m6uCABgZoR6CWoZVEfe1W1F6luzuk0tm9Vxc0UAADMj1EuQxWLR6AFtZSvkvXGbp1WjBrRlchcAQKEQ6iXsztvraWR0qwIHu83TQ09Gt2ZSFwBAoTFLWynocXdj+fpU1cy4nTr/u1napMsPxXnZrMzSBgAoFkK9lNx1u7/mv9xDew6dUfy63+ZTz3XIy9Oq5r/Np96C+dQBAMVAqJcii8WiVkF11SqoblmXAgAwIe6pAwBgEoQ6AAAmQagDAGAShDoAACZBqAMAYBKEOgAAJkGoAwBgEoQ6AAAmQagDAGAShDoAACZBqAMAYBKEOgAAJkGoAwBgEoQ6AAAmQagDAGAShDoAACZBqAMAYBKEOgAAJkGoAwBgEoQ6AAAmQagDAGAShDoAACZBqAMAYBKEOgAAJkGoAwBgEoQ6AAAmQagDAGAShDoAACZBqAMAYBKEOgAAJkGoAwBgEoQ6AAAmQagDAGAShDoAACZBqAMAYBKEOgAAJkGoAwBgEoQ6AAAmQagDAGAShDoAACZBqAMAYBKEOgAAJkGoAwBgEoQ6AAAmQagDAGAShDoAACZBqAMAYBKEOgAAJkGoAwBgEoQ6AAAmQagDAGASVYq7gaysLL300kv68ccfZbVa9eKLL6pLly752q1du1azZs2S3W6XYRh64IEHNHTo0OLuHgAA/KbYoT5//nx5e3trzZo1OnLkiGJiYrR69WrVqFHDpZ2fn5/effdd+fv76/z584qOjlbr1q3Vrl274pYAAADkhuH3zz//XAMHDpQkNWnSRC1bttT69evztWvTpo38/f0lSTVr1lRQUJBOnDhR3N0DAIDfFPtK/eTJk7r11ludnwMCApScnHzDPgcPHtSOHTs0adKka67PyMhQRkaGy7KbbRMAgMrupqEeFRWlkydPXnPdxo0bC73D1NRUPfXUU5owYYLzyv33Fi9erBkzZhR62wAAVGY3DfX4+Pgbrm/QoIFOnDghX19fSVJSUpLCwsKu2fbMmTMaMmSIHn/8cfXu3fu62xw8eLCioqJcliUnJysmJuZm5QIAUGkVe/i9V69eWrZsmVq1aqUjR45o9+7d+uc//5mv3dmzZzVkyBDFxMRowIABN9ymj4+PfHx8ilsaAACVSrEflBs2bJgyMjLUo0cPPfHEE3r11Vfl7e0tSZo2bZo+/PBDSdLcuXN15MgRLVu2TJGRkYqMjNTy5cuLu3sAAPAbi2EYRlkXURDHjx9Xt27d9NVXXykwMLCsywEAoMQVNvt4oxwAACZBqAMAYBKEOtxi69atevjhh3XXXXfp7rvv1sMPP6xdu3ZJkn799Vc98sgjCg0NVZcuXbRy5cp8/YODg9W2bVuFhoYqLCxMgwcPVmJiYikfBQBUbMV++h24cOGCRo4cqYkTJ6p3797Kzc3V1q1bZbPZJElTp07VrbfeqoULFyo9Pf26LxJatWqVGjdurLS0NK1fv16vvvqqDh06pFGjRpXm4QBAhUWoo9gOHz4sSYqIiJAkWa1WdezY0bm+SpUqql+/vjw9PeXn5yc/P78bbs/X11f9+/dX1apV9fzzzysmJka33HJLyR0AAJgEw+8otqZNmzpn6Pv222917tw5l/WtWrXS/PnzrzknwI1069ZNDofDOYwPALgxQh3F5u3trX/961+yWCx65ZVX1L59e40cOVKnT5/Wtm3btHDhQi1YsEAvv/yyM9iPHj2qsLAw3egblZ6enrrlllvy/ZEAALg2ht/hFkFBQXrzzTclXZ6w5/nnn9fkyZMlSQMHDtTdd9+tGTNmaMSIEZoyZYrOnDmjsLAwWSyW624zNzdXaWlpqlWrVqkcAwBUdIQ63C4oKEjR0dFatmyZmjZtqtzcXElS69atNXXqVI0ePVo+Pj56++23b7idr776SlarVa1bty6FqgGg4mP4HcV28OBBLViwwPlUe1JSkhISEtSmTRv16tVL77//vrZs2aK8vDzVq1dPt956q06fPi2r1XrN7aWnp+uTTz7Rq6++quHDh/OQHAAUEFfqKDZvb2/t3LlTCxcu1Pnz51WzZk116dJFL7zwgry9vXXx4kW98sorSk5OVv369fXYY48pLy9PTzzxhP7973+rQYMGkqTIyEhZLBZ5enoqODhYL730kvr27VvGRwcAFQfvfgcAoJwqbPZxpQ63MgxDew6eUfy3B3Tw+Dnl2B3yslkVFFhLUfc1V8tmdW74cBwAoOgIdbjNtv0pmhG3Uxcy7cqxO3RlCOhidq7O7s3W7gOnVbO6TaMGtNWdt9cr01oBwIx4UA5useb7o5q8aItOp2cp+6pAv8KQlG136FR6ll5f9L3WfH+0LMoEAFMj1FFs2/anaPaK3bLnOgrU3p7r0OwVu7Vtf0oJVwYAlQuhjmIxDEMz4nYWONCvsOc6NDNu5w3fKAcAKBxCHcWy5+AZXci0F6nv+Uy79hw64+aKAKDyItRRLPHfHlCOvXBX6Vfk2B1aue6AmysCgMqLUEexHDx+Lt9DcQVlSDpwnMlaAMBdCHUUS1Gv0p39C3kvHgBwfYQ6isXLdu33txe4v2fx+gMA/g+hjmIJCqylor4fziKpeSDTqgKAuxDqKJaoPzYv8tW6l82q/vc1d3NFAFB5EeoolpZBdeRd3VakvjWr29SyWR03VwQAlRehjmKxWCwaPaCtbIW8N27ztGrUgLZM7gIAbkSoo9juvL2eRka3KnCw2zw99GR0ayZ1AQA3Y5Y2uEWPuxvL16eqZsbt1PnfzdImXX4ozstmZZY2AChBhDrc5q7b/TX/5R7ac+iM4tf9Np96rkNenlY1/20+9RbMpw4AJYZQh1tZLBa1CqqrVkF1y7oUAKh0uKcOAIBJEOoAAJgEoQ4AgEkQ6gAAmAShDgCASRDqAACYBKEOAIBJEOoAAJgEoQ4AgEkQ6qj0unbtqvbt2yszM9O5LC4uTo8++qgkKTg4WEePHi2r8gCgwHhNLCApOztbvXv31rlz51StWjVVq1ZNVapUkWEYN+9cihISEvTNN9/o2WefVbdu3VS9enWX9a+//rrCw8M1btw4JSQkyNPTM986wzDUvXt3eXl5KTExsbQPAUAJItRR6Z0/f16SlJGRoc8//1z169fX9OnT9dFHHyk3Nzdfe4fDIau1cPPHu8u6devUuXNn5+ctW7aoSpVr/288bNgwPfvss/mWb9myRWlpabp06ZJ27dql1q1bl1i9AEoXw++o1M6fP6/z589ryJAhuvfee/XRRx/JYrGoQYMGat68uWw2myRp2rRpGj58uNq2bavNmzcrJSVFo0eP1j333KOuXbtqyZIlzm3m5eVp7ty56t69u8LCwvTMM88oPT1dknT8+HEFBwcrPj5e9913n8LCwvTuu+86++7atUvR0dG688471aFDB73xxhsu2924caM6depUrGOOj49X165d9cc//lErV64s1rYAlC+EOiq17du3yzAMhYaGasyYMfrggw+UlpaWr90333yjkSNH6ocfflBoaKiefPJJBQcHa/369Vq8eLEWL16s7777TpL0/vvva+3atfrggw/03XffqVatWnr11Vddtrdt2zZ98cUXWrx4sWbOnKmDBw9KujxE/thjj+mHH37QmjVr1Lt3b2efXbt2qWHDhvL19S3y8WZlZenLL79Uv3791LdvX3322Wey2+1F3h6A8oXhd1RqZ8+elYeHh6xWq2677Tbdd9996tevnzIyMmS327VlyxZJUvv27XXXXXdJkn7++WelpaVp1KhRkqSGDRvqoYceUmJiojp16qSPPvpI48ePV/369SVJo0aNUpcuXXTp0iXnfkeNGqWqVavq9ttv1+233679+/crKChIVapU0bFjx5SWliZfX1+1bdvW2ef3Q++SdM8997h8XrZsmYKCgiRJCxYs0NKlSyVJVqtVmzdv1urVq2Wz2XTvvffK4XDo0qVL+vbbb9WjRw83nlUAZYVQR6VWu3Zt5eXlyeFwSJLGjBmjqKgojRgxQrNnz1ZeXp4kqV69es4+J06cUGpqqtq1a+dc5nA4nJ9Pnjypp59+Wh4e/zcQ5uHhoTNnzjg/1637f/PNV6tWzfnk/euvv67p06erd+/eCgwMdP5BIEnr16/Pd8W/adOm695THzp0aL576itXrlTv3r1VpUoVValSRffff7/i4+MJdcAkCHVUaqGhobJYLNq+fbs6deqkxo0bKzw8XO+///51+wQEBCgwMFCrV6++5vr69etr8uTJziv7qx0/fvyG9TRp0kRvvfWW8vLytHr1ao0ZM0abN2/WxYsXlZqaqhYtWhTuAK+SnJysTZs2adeuXc7as7KyZLfbnSMDN/PZZ59p0aJF+uWXX1StWjUFBgaqf//+GjRokB577DH169dPAwYMcLbfvHmznn/+ea1fv17S5a8HVqtWTRaLxdnmqaee0vDhw/Pt6/jx4+rWrZs6d+6sefPmOZc/99xzaty4sUaPHi1JunDhgt555x2tWbNGaWlpql27tlq3bq1hw4apTZs2zv2uXr1ajRs3LsKZAyoO7qmjUvPx8VHNmjW1ZMkSffHFF7pw4YKefPJJXbx40XmV/nutW7dWjRo1NHfuXGVnZ8vhcOjnn3/Wrl27JEl/+tOf9Pbbb+vEiROSpLS0NK1du7ZA9axatUppaWny8PCQj4+PpMtX+evXr1enTp1cwrCwVq1apSZNmuiLL77QypUrtXLlSn355Zfy9/fXZ599dtP+CxYs0Ouvv65hw4Zpw4YN2rhxoyZNmqQffvjhmt8SuFEd27dvd/5cK9CvtmvXLv3www/XXGe32zV48GD9/PPPmj17trZt26bExESFh4c7/5AAKhOu1FHpbdmyRZ988onee+89vfjii6pWrZpCQkL04IMPKjQ0VFFRUapVq5azvdVq1ezZsxUbG6tu3brJbreradOmGjt2rCTpsccek2EYGjp0qFJTU1WnTh2Fh4ere/fuN63lu+++05tvvqns7Gw1aNBAU6dOVdWqVfXtt98qPDw8X/v/+Z//cfk8ZswYDRky5Jrbjo+PV0xMjPz8/FyWP/zww4qPj3e+bOdazp8/r+nTpys2NlY9e/Z0Lr/jjjv0z3/+86bHVRzDhg3T1KlTrzl6smrVKqWkpOj99993fme/evXq6tWrl3r16lWidQHlEaEOSOrXr5/69eunvLw8ff7LN4rf96VW5Hyr5fHrZAm16LRXnhJ/+lq9/nCfPDw85O/vr7feeuua2/Lw8NCQIUOuGa6BgYH66aefXJZdHVb/+7//m6/PpUuXtHnzZk2ePPmG27nam2++mW/ZF198cc22w4cPv+nV8vbt22W329WtW7cbtisJgwYN0vvvv6+NGzeqQ4cOLus2btyojh075nsJD1BZEerAb5b/mKi4PQnKk+tb5AwZysg5r0U74rRk53I91CJC0S16X2cr7nfu3Dk988wz8vb2LrV9/t7Zs2d1yy23uDyU9/DDD+vAgQOy2+2aP39+gbcVFRXl8hDh1KlTb/jd+6pVq2rkyJF6++2384X62bNn1bJlS+fnffv26dFHH1VeXp78/Pz05ZdfFrguwAwIdUDSrM1LtO7If2/aLs/I00d7PlHyhVN6KuyxUqhMqlOnjgYNGlQq+7qe2rVr6+zZs7p06ZIz2D/66CNJUufOnZWXlyer1Zrv3vrV7a+Ij4+/5gNroaGhzt9/f49/wIABmj9/vr7++ut8dZ06dcr5OSQkRFu3btXGjRv18ssvF+FIgYqNB+VQ6S3/MbFAgX61dUf+q+U/Vp73poeGhspms+mrr766bpuAgADnw4FXHD9+XLfeemuB9nH1w3MNGjRwWWez2TRq1ChNmzbN5X387du313/+8x+XyXiAyoxQR6WWl5enuD0JReob9+Nn131C3mx8fHz09NNPa9KkSc5vCeTl5Wnfvn3KysqSJIWHh2vFihXatWuXDMPQ4cOHtWjRoms+4FcUkZGRysnJ0YYNG5zL+vfvLz8/P40aNUo///yzHA6HcnJytGfPnnz9c3NzlZOT4/y58m4CwEwYfkel9vkv3+S7h15QeUaevvhlncKDu7q5qvJp+PDh8vf3d/mWQMOGDfXcc885r+T/+te/6qWXXlJSUpLq1KmjAQMGaODAgS7biYyMdPlq3oMPPqi///3vN92/1WrVmDFjXF6o4+XlpSVLlmj69Ol64oknnPf+W7Zsqbffftulf58+fVw+/+Mf/3D5Tj1gBhajvM0teR1XXkTx1VdfKTAwsKzLgUk8vvIFZeScL3L/Wl41Na//FDdWBAD/p7DZx/A7KrXzOReK1T+jmP0BwJ0YfkelZhRx6N1d/SsiwzC099Qv+vSntTqcdkw5Dru8rDY19W2kfsHdFeL3h2K9+Q5A0RHqqNQsshQrmC2qXOG1I+lHzdmyVBdzM5V9Kce5PDM3S2dP7tbe1J/lbauuEe0eUduAO8qwUqByYvgdlVpNr+K90MWnmP0rkm8ObdT//meOzmSddQn0q2VfytHpzLP63//M1jeHNpZyhQAIdVRqUSE9b97ohv0rx/vFdyT9qPk/fCS7o2ATt9gduZr/w0fakfRjCVcG4GqEOiq13n/oIo8iDqF7WDzU6w/3ubegcsgwDM3ZsrTAgX6F3ZGruVuXqoJ8wQYwBUIdlZqHh4ceatm3SH0fahHh8g5zs9p76hddzC3aG9su2DO179Qvbq4IwPWY/18k4CaiW/TWfU3aF6pPlyYdSnVSl7L06U9rr3sP/WayL+Xo058KNpc8gOLj6XdA0lNhj8nfu+7lV78a13/1q4fFo9RnaStrh9OOFav/obPF6w+g4Ah14DcPtAhXVEgvffHLOq3Y94XO51yQIUMWWeTj5a2oO3qrV/M/Vooh96vlOOzF6m+/VLh78QCKjlAHruLh4aHw4K6V5n3uBeFltSkzN6vI/W1VPN1YDYAbqVyXHAAKralvo2L1b3ZL8foDKDhCHcAN9Q3urqpVvIrUt2oVL/UN7u7migBcD6EO4Ibu8PuDanhWL1Jfb1t1hfj9wc0VAbieYod6VlaWxo4dqx49eqhXr1765ptvbtg+JydHffr0UXR0dHF3DaAUWCwWPfE/j8hmLdy9cZvVUyPaPcLkLkApKnaoz58/X97e3lqzZo1mz56tl19+WRcvXrxu+6lTp6pNmzbF3S2AUtQ24A4Nu/PhAge7zeqpx+/8E5O6AKWs2KH++eefa+DAgZKkJk2aqGXLllq/fv01227dulVHjhxRZGTkDbeZkZGh48ePu/wkJycXt1QAxdClWQc9d+8Tqlv9luveY69axUt1q9+i5+4dqfuaFe6FPgCKr9hfaTt58qRuvfVW5+eAgIBrBnBmZqYmT56sd999V0eOHLnhNhcvXqwZM2YUtzQAbtY2oIVmRryufad+0Sc/rdXhs8dkv5QrWxVPNbulkfoG91CIX3OG3IEyctNQj4qK0smTJ6+5buPGgk+tOGXKFA0aNEj+/v43DfXBgwcrKirKZVlycrJiYmIKvD8AJcNiseiOerfpjnq3lXUpAH7npqEeHx9/w/UNGjTQiRMn5OvrK0lKSkpSWFhYvnbbtm3T+vXrNWvWLOXk5OjcuXPq27evPv3003xtfXx85OPjU9BjAAAAcsPwe69evbRs2TK1atVKR44c0e7du/XPf/4zX7urw3vz5s2KjY3VihUrirt7AADwm2I/KDds2DBlZGSoR48eeuKJJ/Tqq6/K29tbkjRt2jR9+OGHxS4SAADcXLGv1KtXr67p06dfc90zzzxzzeVhYWFcpQMA4Ga8UQ4AAJMg1AEAMAlCHQAAkyDUAQAwiWI/KFdaHA6HJPG6WABApXEl865k4M1UmFA/deqUJPFWOQBApXPq1Ck1btz4pu0shmEYpVBPsWVnZ2vPnj3y8/OT1Wot63KK5MqrbpcuXar69euXdTkVCueuaDhvRce5KzrOXdFc67w5HA6dOnVKLVu2VNWqVW+6jQpzpV61alW1a9eurMtwi/r16yswMLCsy6iQOHdFw3krOs5d0XHuiub3560gV+hX8KAcAAAmQagDAGAShDoAACZBqJciHx8fjRo1imlli4BzVzSct6Lj3BUd565o3HHeKszT7wAA4Ma4UgcAwCQIdQAATIJQBwDAJAj1EpaVlaWxY8eqR48e6tWrl7755psbts/JyVGfPn0UHR1dShWWXwU9d2vXrlV0dLQiIiLUp08fLViwoJQrLXuHDx/WwIED1bNnTw0cOFBHjhzJ18bhcGjSpEnq3r27evToobi4uNIvtBwqyLmbOXOm+vTpo759+yo6Olrfffdd6RdaDhXk3F1x6NAhtWnTRrGxsaVXYDlV0POWmJiovn37KiIiQn379tXp06dvvnEDJeqdd94x/v73vxuGYRiHDx82OnToYFy4cOG67d944w3jpZdeMqKiokqrxHKroOdux44dRnJysmEYhpGRkWF0797d2LJlS6nWWtYeffRRY+XKlYZhGMbKlSuNRx99NF+b+Ph4Y+jQoYbD4TDOnDljdOrUyfj1119Lu9RypyDnbv369UZmZqZhGIaxb98+46677jKysrJKtc7yqCDnzjAM49KlS8Yjjzxi/OUvfzHefPPN0iyxXCrIedu1a5fRu3dvIzU11TCMy/+2ZWdn33TbXKmXsM8//1wDBw6UJDVp0kQtW7bU+vXrr9l269atOnLkiCIjI0uzxHKroOeuTZs28vf3lyTVrFlTQUFBOnHiRKnWWpbOnDmjvXv3KiIiQpIUERGhvXv3Ki0tzaVdYmKiBgwYIA8PD/n6+qp79+764osvyqLkcqOg565Tp06qVq2aJCk4OFiGYSg9Pb20yy1XCnruJGnu3Lm677771KRJk1Kusvwp6HlbtGiRhg4dKj8/P0mX/23z8vK66fYJ9RJ28uRJ3Xrrrc7PAQEB15w+NjMzU5MnT9akSZNKs7xyraDn7moHDx7Ujh07dM8995R0eeVGUlKS/P39nRMdWa1W1atXT0lJSfnaNWjQwPm5IOfT7Ap67q62cuVKNWrUqNJPVFLQc7d//35t2LBBf/7zn8ugyvKnoOft4MGD+vXXXxUTE6OoqCjNmjVLRgG+gV5hJnQpr6KionTy5Mlrrtu4cWOBtzNlyhQNGjRI/v7+N7wvZSbuOndXpKam6qmnntKECROcV+6AO33//feaNm1apXxuoyhyc3P1yiuv6I033qiws2uWFYfDoZ9++kkLFy6U3W7X448/rgYNGqh///437EeoF1N8fPwN1zdo0EAnTpyQr6+vpMt/pYWFheVrt23bNq1fv16zZs1STk6Ozp07p759++rTTz8tkbrLA3edO+nykNaQIUP0+OOPq3fv3m6vtTwLCAhQSkqKHA6HrFarHA6HUlNTFRAQkK/dyZMn1bp1a0n5r9wro4KeO0navn27nn/+ec2aNUvNmjUrg2rLl4Kcu1OnTunYsWMaMWKEJCkjI0OGYejChQt67bXXyqr0MlXQ/+YaNGigXr16yWazyWazqVu3btq1a9dNQ53h9xLWq1cvLVu2TJJ05MgR7d69W506dcrX7tNPP9XXX3+tr7/+Wm+99ZZuu+02Uwd6QRT03J09e1ZDhgxRTEyMBgwYUNpllrk6deooJCRECQkJkqSEhASFhIQ4/xi6olevXoqLi1NeXp7S0tK0du1a9ezZsyxKLjcKeu527dqlZ599VtOnT1eLFi3KotRypyDnrkGDBtq8ebPz37bBgwfroYceqrSBLhX8v7mIiAht2LBBhmEoNzdXmzZt0u23337T7fOa2BKWmZmpcePGad++ffLw8NDzzz+v7t27S5KmTZumevXq6U9/+pNLn82bNys2NlYrVqwoi5LLjYKeu9jYWC1dulRNmzZ19n3sscf0wAMPlFXppe7gwYMaN26cMjIy5OPjo9jYWDVr1kzDhw/XmDFj1KpVKzkcDr366qv6z3/+I0kaPny480HEyqwg5+6BBx7QiRMnXG7rTJkyRcHBwWVYedkryLm72jvvvKPMzEy9+OKLZVRx+VCQ85aXl6fY2FitX79eHh4e6tixo1588UV5eNz4WpxQBwDAJBh+BwDAJAh1AABMglAHAMAkCHUAAEyCUAcAwCQIdQAATIJQBwDAJP4/zorIGYekBtEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for area in eu_v[\"Policy Area\"].unique():\n",
    "    varea=eu_v[eu_v[\"Policy Area\"] == area]\n",
    "    avotes_hm=varea[[\"GUE-NGL\",\"S&D\", \"Greens/EFA\", \"REG\", \"EPP\", \"ECR\", \"IDG\", \"NI\"]]\n",
    "    avotes_hmn = avotes_hm.replace([\"For\", \"Against\", \"Abstain\", \"No political line\"], [1,-1,0,0])\n",
    " \n",
    "    avotes_t = avotes_hmn.transpose()\n",
    "    apwdist = pdist(avotes_t, metric='euclidean')\n",
    "    adistmat = pd.DataFrame(\n",
    "        squareform(apwdist), # pass a symmetric distance matrix\n",
    "        columns = avotes_t.index,\n",
    "        index = avotes_t.index)\n",
    "    adistmat_mm=((adistmat-adistmat.min().min())/(adistmat.max().max()-adistmat.min().min()))*1\n",
    "    \n",
    "    aaffinmat_mm = pd.DataFrame(1-distmat_mm, distmat.index, adistmat.columns)\n",
    "\n",
    "    asc = SpectralClustering(3, affinity=\"precomputed\",random_state=2020).fit_predict(aaffinmat_mm)\n",
    "    asc_dict = dict(zip(adistmat,asc))   \n",
    "    \n",
    "    amds = MDS(n_components=2, dissimilarity='precomputed',random_state=2020, n_init=100, max_iter=1000)\n",
    "    aresults = amds.fit(adistmat_mm.values)\n",
    "    acoords = aresults.embedding_\n",
    "    \n",
    "    sns.set()\n",
    "    sns.set_style(\"ticks\")\n",
    "\n",
    "    fig, ax = plt.subplots(figsize=(8,8))\n",
    "\n",
    "    plt.title(area, fontsize=14)\n",
    "\n",
    "    for label, x, y in zip(adistmat_mm.columns, acoords[:, 0], acoords[:, 1]):\n",
    "        ax.scatter(x, y, c = \"C\"+str(asc_dict[label]), s=250)\n",
    "        #ax.scatter(x, y, s=250)\n",
    "        ax.axis('equal')\n",
    "        ax.annotate(label,xy = (x-0.02, y+0.025))\n",
    "    plt.show()    \n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
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