{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Optimization of Sao Paulo traffic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lead author: Jules Deschamps.\n",
    "\n",
    "This notebook presents a simple use case of *information geometry*, in the context of *traffic optimization* in Sao Paulo.\n",
    "We rely on a dataset listing all traffic jams in Sao Paulo for the past two decades (their location, date, their size, their duration, i.e. how long the traffic was jammed) to propose a solution involving information geometry.\n",
    "\n",
    "This analysis relies heavily on the geometry of the *Gamma manifold*, which is particularly adapted to addressing this situation, as seen later on."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>\n",
    "    <img src='figures/sao_paulo_traffic.jpg' width=600px>\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>\n",
    "    Figure 1: Sao Paulo: A city with 180km traffic jams -- BBC News\n",
    "</center>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO: Using autograd backend\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import geomstats.backend as gs\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Introduction and Motivation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "40% of São Paulo residents own a motor vehicle. While this is lower than cities in the United States, it is still higher than most other Latin American cities and São Paulo’s infrastructure was not built to accommodate such a large number of private vehicles. As The Urban Mobility Research Network of São Paulo found, some São Paulo residents spend one month per year in traffic, or 2.4 hours per day. As car ownership increases, and with it further congestion, this time spent in traffic will only grow. In that regard, considering the increase in car ownership and air pollution, even though widening roads only brings a temporary solution, it can alleviate Brazilians of the absurd amount of time they spend in traffic.\n",
    "\n",
    "In the role of Sao Paulo's city planners, we have been granted a certain amount of resources to solve the congestion problem of Sao Paulo. The issue at hand becomes that of choosing which roads to renovate. More formally, the goal is eventually to reduce the mean expected congestion time in traffic."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. Dataset description"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have at our disposal a dataset (accessible [here](https://www.kaggle.com/datasets/danlessa/sao-paulo-traffic-jams-since-2001)) containing traffic jam size measurements by CET at several locations on São Paulo between 2001 and 2019, with more than 5M entries.\n",
    "\n",
    "Available columns:\n",
    "- passage (str) - Name of the passage\n",
    "- direction (str)\n",
    "- type (str) - Indicates if the passage is an expressway (E)\n",
    "- region (str) - São Paulo region\n",
    "- timestamp (datetime) - When the traffic jam was measured (UTC-4)\n",
    "- jam_size (int) - Traffic jam in meters\n",
    "- segment (str) - Where the passage is located\n",
    "\n",
    "Our modeling will not take into account the fact that many of the passages/roads must have been renovated between 2001 and 2019. Similarly, the dataset does not offer information on the width of given roads (even though we could base it off of the type of the road), and therefore on their flow rate: this is an obvious flaw in our analysis but it is easy to fix if the relevant data can be accessed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pre-processing the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO: Data has already been downloaded... using cached file ('/home/luisfpereira/.geomstats_data/jam.zip').\n"
     ]
    }
   ],
   "source": [
    "from geomstats.datasets.utils import load_sao_paulo\n",
    "\n",
    "df, jam_count = load_sao_paulo()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Some of the columns of the dataset are not necessary for our study: let alone __index__, __type__ and __segment__ do not seem to add any value to the table in our case. In addition, the times (__timestamp__) at which jams are occurring are not relevant in that specific format: it would make much more sense to have the duration of given jam. We also decide to drop the __jam_size__ column.\n",
    "\n",
    "Additionally, we would want to transform the original dataset so as to access a more relevant table, with features:\n",
    "- name of the road (primary key = passage + direction for instance, segments are regrouped within same key)\n",
    "- date (day only)\n",
    "- duration of the traffic jam (in h)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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>name</th>\n",
       "      <th>date</th>\n",
       "      <th>duration</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Abraão Ribeiro, Av Dr (F)               Bairro...</td>\n",
       "      <td>2005-01-12</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Abraão Ribeiro, Av Dr (F)               Bairro...</td>\n",
       "      <td>2005-01-20</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Abraão Ribeiro, Av Dr (F)               Bairro...</td>\n",
       "      <td>2005-01-21</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Abraão Ribeiro, Av Dr (F)               Bairro...</td>\n",
       "      <td>2005-02-24</td>\n",
       "      <td>4.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Abraão Ribeiro, Av Dr (F)               Bairro...</td>\n",
       "      <td>2005-02-28</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>650519</th>\n",
       "      <td>Xangai, Vd                              unico/...</td>\n",
       "      <td>2004-01-16</td>\n",
       "      <td>3.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>650520</th>\n",
       "      <td>Xangai, Vd                              unico/...</td>\n",
       "      <td>2004-03-24</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>650521</th>\n",
       "      <td>Xangai, Vd                              unico/...</td>\n",
       "      <td>2004-03-26</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>650522</th>\n",
       "      <td>Xangai, Vd                              unico/...</td>\n",
       "      <td>2004-04-29</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>650523</th>\n",
       "      <td>Xangai, Vd                              unico/...</td>\n",
       "      <td>2004-06-01</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>650524 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                     name        date  \\\n",
       "0       Abraão Ribeiro, Av Dr (F)               Bairro...  2005-01-12   \n",
       "1       Abraão Ribeiro, Av Dr (F)               Bairro...  2005-01-20   \n",
       "2       Abraão Ribeiro, Av Dr (F)               Bairro...  2005-01-21   \n",
       "3       Abraão Ribeiro, Av Dr (F)               Bairro...  2005-02-24   \n",
       "4       Abraão Ribeiro, Av Dr (F)               Bairro...  2005-02-28   \n",
       "...                                                   ...         ...   \n",
       "650519  Xangai, Vd                              unico/...  2004-01-16   \n",
       "650520  Xangai, Vd                              unico/...  2004-03-24   \n",
       "650521  Xangai, Vd                              unico/...  2004-03-26   \n",
       "650522  Xangai, Vd                              unico/...  2004-04-29   \n",
       "650523  Xangai, Vd                              unico/...  2004-06-01   \n",
       "\n",
       "        duration  \n",
       "0            1.0  \n",
       "1            1.5  \n",
       "2            1.5  \n",
       "3            4.5  \n",
       "4            2.0  \n",
       "...          ...  \n",
       "650519       3.5  \n",
       "650520       4.0  \n",
       "650521       2.0  \n",
       "650522       4.0  \n",
       "650523       3.0  \n",
       "\n",
       "[650524 rows x 3 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Above is the table __df__ of all traffic jams and their durations, for each day."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Abraão Ribeiro, Av Dr (F)               Bairro/Centro                           ': 185,\n",
       " 'Abraão Ribeiro, Av Dr (F)               Centro/Bairro                           ': 28,\n",
       " 'Abraão de Morais, Av Prof/Imig          Santos/São Paulo                        ': 1870,\n",
       " 'Abraão de Morais, Av Prof/Imig          São Paulo/Santos                        ': 852,\n",
       " 'Abraão de Morais, Av Prof/Imigrantes (F)Santos/São Paulo                        ': 396,\n",
       " 'Abraão de Morais, Av Prof/Imigrantes (F)São Paulo/Santos                        ': 107,\n",
       " 'Adolfo Pinheiro e Lgo 13/05             Bairro/Centro                           ': 391,\n",
       " 'Adolfo Pinheiro e Lgo 13/05             Centro/Bairro                           ': 657,\n",
       " 'Aliomar Baleeiro, Vd Min                Anchieta/Imigrantes                     ': 3831,\n",
       " 'Aliomar Baleeiro, Vd Min                Imigrantes/Anchieta                     ': 3191,\n",
       " 'Aliomar Baleeiro, Vd Min (F)            Anchieta/Imigrantes                     ': 1,\n",
       " 'Alvarenga, R                            único//                                 ': 1919,\n",
       " 'Amaro, Al  Sto                          único//                                 ': 1000,\n",
       " 'Amaro, Av  Sto  (F)                     Bairro/Centro                           ': 647,\n",
       " 'Amaro, Av  Sto  (F)                     Centro/Bairro                           ': 316,\n",
       " 'Amaro, Av Sto (Pavao/Nebraska) (F)      Bairro/Centro                           ': 41,\n",
       " 'Amaro, Av Sto (Pavao/Nebraska) (F)      Centro/Bairro                           ': 23,\n",
       " 'Amaro, Av Sto - DEC SA (F)              Bairro/Centro                           ': 6,\n",
       " 'Amaro, Av Sto - DEC SA (F)              Centro/Bairro                           ': 8,\n",
       " 'Amaro, Av Sto DEC IB                    Bairro/Centro                           ': 1814,\n",
       " 'Amaro, Av Sto DEC IB                    Centro/Bairro                           ': 1280,\n",
       " 'Amaro, Av Sto DEC SA                    Bairro/Centro                           ': 830,\n",
       " 'Amaro, Av Sto DEC SA                    Centro/Bairro                           ': 803,\n",
       " 'Anchieta, Via                           Santos/São Paulo                        ': 836,\n",
       " 'Anchieta, Via                           São Paulo/Santos                        ': 1293,\n",
       " 'Angélica, Av                            Bairro/Centro                           ': 19,\n",
       " 'Angélica, Av                            Centro/Bairro                           ': 29,\n",
       " 'Angélica, Av (F)                        Centro/Bairro                           ': 6,\n",
       " 'Antonio Nakashima, Vd                   único//                                 ': 1432,\n",
       " 'Antártica, Vd                           Limão/Sumaré                            ': 1331,\n",
       " 'Antártica, Vd                           Sumaré/Limão                            ': 1308,\n",
       " 'Antônio Joaquim de Moura Andrade, Av    Ibirapuera/Marginal                     ': 7071,\n",
       " 'Antônio Joaquim de Moura Andrade, Av    Marginal/Ibirapuera                     ': 2428,\n",
       " 'Arcoverde, R Card                       //unico                                 ': 238,\n",
       " 'Arcoverde, R Cardeal (F)                único//                                 ': 1270,\n",
       " 'Aricanduva, Av/Elev/Pt                  Itaquera/Marginal                       ': 4929,\n",
       " 'Aricanduva, Av/Elev/Pt                  Marginal/Itaquera                       ': 3891,\n",
       " 'Aricanduva/Elevado/Ponte( F)            Itaquera/Marginal                       ': 2258,\n",
       " 'Aricanduva/Elevado/Ponte( F)            Marginal/Itaquera                       ': 1315,\n",
       " 'Arnaldo,  Av Dr                         Consolação/Sumare                       ': 2596,\n",
       " 'Arnaldo,  Av Dr                         Sumare/Consolação                       ': 5998,\n",
       " 'Arthur da Costa e Silva, Elev Pres      Lapa/Penha                              ': 4972,\n",
       " 'Arthur da Costa e Silva, Elev Pres      Penha/Lapa                              ': 3743,\n",
       " 'Ary Torres, Eng. Pte                    único//                                 ': 3517,\n",
       " 'Asc.Reis/R.Berta(Local)                 Bairro/Centro                           ': 2614,\n",
       " 'Asc.Reis/R.Berta(Local)                 Centro/Bairro                           ': 998,\n",
       " 'Ataliba Leonel, Av. Gal.                Bairro/Centro                           ': 56,\n",
       " 'Ataliba Leonel, Av. Gal.                Centro/Bairro                           ': 110,\n",
       " 'Atilio Fontana, Pte                     Capital/Interior                        ': 71,\n",
       " 'Atilio Fontana, Pte                     Interior/Capital                        ': 3640,\n",
       " 'Atlantica, AV                           Bairro/Centro                           ': 485,\n",
       " 'Atlantica, AV                           Centro/Bairro                           ': 24,\n",
       " 'Ayrton Senna I, Tn (NÃO USAR)           Centro/Bairro                           ': 2,\n",
       " 'Ayrton Senna I, Túnel                   unico//                                 ': 7159,\n",
       " 'Ayrton Senna II,  Túnel                 unico//                                 ': 3815,\n",
       " 'Bandeirantes, Av dos                    Imigrantes/Marginal                     ': 7714,\n",
       " 'Bandeirantes, Av dos                    Marginal/Imigrantes                     ': 6796,\n",
       " 'Bento, Lgo São                          //unico                                 ': 9,\n",
       " 'Bernardino/Verg/Noe/Domingos/Jabaquara  Bairro/Centro                           ': 2153,\n",
       " 'Bernardino/Verg/Noe/Domingos/Jabaquara  Centro/Bairro                           ': 519,\n",
       " 'Bernardo Goldfarb, Pte                  Bairro/Centro                           ': 1079,\n",
       " 'Bernardo Goldfarb, Pte                  Centro/Bairro                           ': 174,\n",
       " 'Brasil, Av                              Ibirapuera/Pinheiros                    ': 246,\n",
       " 'Brasil, Av                              Pinheiros/Ibirapuera                    ': 537,\n",
       " 'Brás Leme, Av / Pte Casa Verde          Bairro/Centro                           ': 2002,\n",
       " 'Brás Leme, Av / Pte Casa Verde          Centro/Bairro                           ': 419,\n",
       " 'Butantã, R                              //unico                                 ': 206,\n",
       " 'Butantã, R  (F)                         unico//                                 ': 2032,\n",
       " 'CJardim/Europa, Av/Colômbia, R (F)      Bairro/Centro                           ': 1,\n",
       " 'Caetano Alvares, Av. Eng.               Bairro/Centro                           ': 26,\n",
       " 'Caetano Alvares, Av. Eng.               Centro/Bairro                           ': 85,\n",
       " 'Camargo, R                              único//                                 ': 1430,\n",
       " 'Carlos Caldeira Filho, Av               Bairro/Centro                           ': 1209,\n",
       " 'Carlos Caldeira Filho, Av               Centro/Bairro                           ': 345,\n",
       " 'Carrão,  Av Cons   (F)                  Bairro/Centro                           ': 488,\n",
       " 'Carrão,  Av Cons   (F)                  Centro/Bairro                           ': 61,\n",
       " 'Carrão, Av Cons                         Bairro/Centro                           ': 264,\n",
       " 'Carrão, Av Cons                         Centro/Bairro                           ': 116,\n",
       " 'Casa Verde, Pte e Av Bras Leme (F)      Bairro/Centro                           ': 874,\n",
       " 'Casa Verde, Pte e Av Bras Leme (F)      Centro/Bairro                           ': 324,\n",
       " 'Catiguá, R / Melo Peixoto, R (F)        Bairro/Centro                           ': 1339,\n",
       " 'Catiguá, R / Melo Peixoto, R (F)        Centro/Bairro                           ': 21,\n",
       " 'Celso Garcia, Av                        Bairro/Centro                           ': 124,\n",
       " 'Celso Garcia, Av                        Centro/Bairro                           ': 549,\n",
       " 'Chucri Zaidan, Av Dr                    Bandeirantes/Morumbi                    ': 1706,\n",
       " 'Chucri Zaidan, Av Dr                    Morumbi/Bandeirantes                    ': 285,\n",
       " 'Chucri Zaidan, Av Dr  (F)               Bandeirantes/Morumbi                    ': 461,\n",
       " 'Chucri Zaidan, Av Dr  (F)               Morumbi/Bandeirantes                    ': 380,\n",
       " 'Cidade Jardim / Europa / Colômbia       Bairro/Centro                           ': 6013,\n",
       " 'Cidade Jardim / Europa / Colômbia       Centro/Bairro                           ': 5448,\n",
       " 'Cidade Universitária, Pt                PanAmericana/USP                        ': 3050,\n",
       " 'Cidade Universitária, Pt                USP/PanAmericana                        ': 179,\n",
       " 'Cidade Universitária, Pte (F)           PanAmericana/USP                        ': 1744,\n",
       " 'Cidade Universitária, Pte (F)           USP/PanAmericana                        ': 116,\n",
       " 'Clelia, R (F)                           único//                                 ': 172,\n",
       " 'Clélia, R                               //unico                                 ': 391,\n",
       " 'Consolação, R da                        Bairro/Centro                           ': 3618,\n",
       " 'Consolação, R da                        Centro/Bairro                           ': 3679,\n",
       " 'Consolação, R da   (F)                  Bairro/Centro                           ': 2257,\n",
       " 'Consolação, R da   (F)                  Centro/Bairro                           ': 2784,\n",
       " 'Copa-Afonso de S. Souza/Harry DannembergAricanduva/Itaquera                     ': 1,\n",
       " 'Copa-Aguia de Haia                      A Alvim/S Miguel                        ': 11,\n",
       " 'Copa-Aguia de Haia                      S Miguel/A Alvim                        ': 4,\n",
       " 'Copa-Aguia de Haia (F)                  S Miguel/A Alvim                        ': 1,\n",
       " 'Copa-Campanella                         Bairro/Centro                           ': 10,\n",
       " 'Copa-Campanella                         Centro/Bairro                           ': 11,\n",
       " 'Copa-Itaquera/Lider                     Itaquera/Vila Formosa                   ': 6,\n",
       " 'Copa-Itaquera/Lider                     Vila Formosa/Itaquera                   ': 14,\n",
       " 'Copa-Jacu Pessêgo-N. Trabalhadores      A Senna/Maua                            ': 4,\n",
       " 'Copa-Jacu Pessêgo-N. Trabalhadores      Maua/A Senna                            ': 8,\n",
       " 'Copa-Luiz Ayres                         Bairro/Centro                           ': 2,\n",
       " 'Copa-Luiz Ayres                         Centro/Bairro                           ': 11,\n",
       " 'Copa-Pires do Rio                       Bairro/Centro                           ': 7,\n",
       " 'Copa-Pires do Rio                       Centro/Bairro                           ': 8,\n",
       " 'Corifeu de A Marques, Av                Bairro/Centro                           ': 663,\n",
       " 'Corifeu de A Marques, Av                Centro/Bairro                           ': 141,\n",
       " 'Corifeu de Azevedo Marques, Av  (F)     Bairro/Centro                           ': 73,\n",
       " 'Corifeu de Azevedo Marques, Av  (F)     Centro/Bairro                           ': 4,\n",
       " 'Cruzeiro do Sul, Pt e Av                Ipiranga/Santana                        ': 1377,\n",
       " 'Cruzeiro do Sul, Pt e Av                Santana/Ipiranga                        ': 2409,\n",
       " 'Cruzeiro do Sul, Pte e Av  (F)          Ipiranga/Santana                        ': 397,\n",
       " 'Cruzeiro do Sul, Pte e Av  (F)          Santana/Ipiranga                        ': 421,\n",
       " 'Dianópolis, Av                          //unico                                 ': 395,\n",
       " 'Dianópolis, Av  (F)                     unico//                                 ': 181,\n",
       " 'Diário Popular, Vd                      único//                                 ': 189,\n",
       " 'Dom Pedro (Av Exterior) Pq              //unico                                 ': 15,\n",
       " 'Dom Pedro (Av do Exterior), Parque (F)  unico//                                 ': 43,\n",
       " 'Edgar Facó, Av.                         Bairro/Centro                           ': 1197,\n",
       " 'Edgar Facó, Av.                         Centro/Bairro                           ': 160,\n",
       " 'Eliseu de Almeida, Av                   Bairro/Centro                           ': 821,\n",
       " 'Eliseu de Almeida, Av                   Centro/Bairro                           ': 75,\n",
       " 'Ermano Marchetti, Av                    Barra Funda/Lapa                        ': 710,\n",
       " 'Ermano Marchetti, Av                    Lapa/Barra Funda                        ': 606,\n",
       " 'Escola Politécnica, Av                  Bairro/Centro                           ': 752,\n",
       " 'Escola Politécnica, Av                  Centro/Bairro                           ': 39,\n",
       " 'Estado, Av do - DEC CT                  Ipiranga/Santana                        ': 7017,\n",
       " 'Estado, Av do - DEC CT                  Santana/Ipiranga                        ': 4633,\n",
       " 'Estado, Av do - DEC VILA PRUDENTE       Ipiranga/Santana                        ': 3409,\n",
       " 'Estado, Av do - DEC VILA PRUDENTE       Santana/Ipiranga                        ': 3920,\n",
       " 'Estela, R                               unico//                                 ': 41,\n",
       " 'Eusébio M/Francisco Morato, Av Prof     Bairro/Centro                           ': 5021,\n",
       " 'Eusébio M/Francisco Morato, Av Prof     Centro/Bairro                           ': 2887,\n",
       " 'Eusébio Stevaux, Vd                     único//                                 ': 1445,\n",
       " 'F1 - Jacinto Júlio, Av                  Bairro/Centro                           ': 1,\n",
       " 'F1 - Jacinto Júlio, Av                  Centro/Bairro                           ': 3,\n",
       " 'F1 - Jangadeiro, Av                     Bairro/Centro                           ': 4,\n",
       " 'F1 - Jangadeiro, Av                     Centro/Bairro                           ': 2,\n",
       " 'F1 - João Paulo da Silva, Av            Bairro/Centro                           ': 2,\n",
       " 'F1 - Miguel Yunes/Pte Vitorino Goulart  Interlagos/Marginal                     ': 2,\n",
       " 'F1 - Papini, Av Prof                    Centro/Bairro                           ': 3,\n",
       " 'F1 - Rio Bonito, Av                     Bairro/Centro                           ': 2,\n",
       " 'F1 - Rio Bonito, Av                     Centro/Bairro                           ': 1,\n",
       " 'F1 - Rubens Montanaro de Borba, Av      Bairro/Centro                           ': 1,\n",
       " 'F1 - Teotonio Vilela, Av Sen            Bairro/Centro                           ': 3,\n",
       " 'F1 - Teotonio Vilela, Av Sen            Centro/Bairro                           ': 3,\n",
       " 'Faria Lima,  Av Brig                    Itaim/Pinheiros                         ': 3606,\n",
       " 'Faria Lima,  Av Brig                    Pinheiros/Itaim                         ': 5154,\n",
       " 'Fernando Vieira de Mello Túnel(Reboucas)Bairro/Centro                           ': 5663,\n",
       " 'Fernando Vieira de Mello Túnel(Reboucas)Centro/Bairro                           ': 5516,\n",
       " 'Ferradura                               unico//                                 ': 698,\n",
       " 'Figueira, R da                          unico//                                 ': 802,\n",
       " 'Francisco Matarazzo, Av                 Bairro/Centro                           ': 1170,\n",
       " 'Francisco Matarazzo, Av                 Centro/Bairro                           ': 1316,\n",
       " 'Francisco Matarazzo, Av  (F)            Bairro/Centro                           ': 1895,\n",
       " 'Francisco Matarazzo, Av  (F)            Centro/Bairro                           ': 2070,\n",
       " 'Francisco Mesquita, Av Dr               S. Caetano/Sao Paulo                    ': 2214,\n",
       " 'Francisco Mesquita, Av Dr               Sao Paulo/S. Caetano                    ': 168,\n",
       " 'Francisco Morato, Av Prof               Bairro/Centro                           ': 1751,\n",
       " 'Francisco Morato, Av Prof               Centro/Bairro                           ': 1145,\n",
       " 'Frederico Eduardo Mayr, Vd              unico//                                 ': 861,\n",
       " 'Freguesia, Pte                          Freguesia/Lapa                          ': 775,\n",
       " 'Freguesia, Pte                          Lapa/Freguesia                          ': 323,\n",
       " 'Freguesia/Com Martinelli, Pte  (F)      Freguesia/Lapa                          ': 507,\n",
       " 'Freguesia/Com Martinelli, Pte  (F)      Lapa/Freguesia                          ': 110,\n",
       " 'Gabriel,  Av São (F)                    Bairro/Centro                           ': 127,\n",
       " 'Gabriel,  Av São (F)                    Centro/Bairro                           ': 271,\n",
       " 'Gabriel, Av São                         Bairro/Centro                           ': 114,\n",
       " 'Gabriel, Av São                         Centro/Bairro                           ': 428,\n",
       " 'Gastão Vidigal, Av Dr                   Marginal/Pinheiros                      ': 804,\n",
       " 'Gastão Vidigal, Av Dr                   Pinheiros/Marginal                      ': 670,\n",
       " 'Gastão Vidigal, Av Dr (F)               Lapa/Pinheiros                          ': 163,\n",
       " 'Gastão Vidigal, Av Dr (F)               Pinheiros/Lapa                          ': 132,\n",
       " 'Gasômetro, R e Vd                       único//                                 ': 1324,\n",
       " 'Gazeta do Ipiranga, Vd                  unico//                                 ': 301,\n",
       " 'Grande Sao Paulo, Vd                    Ipiranga/Vila Prudente                  ': 3851,\n",
       " 'Grande Sao Paulo, Vd                    Vila Prudente/Ipiranga                  ': 1965,\n",
       " 'Groenlandia, R                          unico//                                 ': 2879,\n",
       " 'Guadalajara, Vd                         Belem/Mooca                             ': 50,\n",
       " 'Guadalajara, Vd                         Mooca/Belem                             ': 20,\n",
       " 'Guaicurus, R                            //unico                                 ': 143,\n",
       " 'Guaicurus, R (F)                        unico//                                 ': 111,\n",
       " 'Guarapiranga, Av                        Bairro/Centro                           ': 755,\n",
       " 'Guarapiranga, Av                        Centro/Bairro                           ': 751,\n",
       " 'Guido Caloi, Av                         Bairro/Centro                           ': 292,\n",
       " 'Guido Caloi, Av                         Centro/Bairro                           ': 423,\n",
       " 'Guilherme Dumont Vilares, Av Dr         Campo Limpo/Morato                      ': 16,\n",
       " 'Guilherme Dumont Vilares, Av Dr         Morato/Campo Limpo                      ': 7,\n",
       " 'Heitor Penteado, R                      Bairro/Centro                           ': 202,\n",
       " 'Heitor Penteado, R                      Centro/Bairro                           ': 179,\n",
       " 'Ibirapuera, Av                          Bairro/Centro                           ': 2225,\n",
       " 'Ibirapuera, Av                          Centro/Bairro                           ': 3705,\n",
       " 'Ibirapuera, Av  (F)                     Bairro/Centro                           ': 2433,\n",
       " 'Ibirapuera, Av  (F)                     Centro/Bairro                           ': 2911,\n",
       " 'Ibitirama, R                            unico//                                 ': 171,\n",
       " 'Iguatemi, R                             //unico                                 ': 336,\n",
       " 'Iguatemi, R  (F)                        único//                                 ': 437,\n",
       " 'Inajar de Souza, Av                     Freguesia/Lapa                          ': 794,\n",
       " 'Inajar de Souza, Av                     Lapa/Freguesia                          ': 34,\n",
       " 'Inajar de Souza, Av (F)                 Freguesia/Lapa                          ': 16,\n",
       " 'Interlagos, Av  I                       Bairro/Centro                           ': 2008,\n",
       " 'Interlagos, Av  I                       Centro/Bairro                           ': 1110,\n",
       " 'Ipiranga, Av                            unico//                                 ': 1523,\n",
       " 'Itapecerica, Est de                     Bairro/Centro                           ': 871,\n",
       " 'Itapecerica, Est de                     Centro/Bairro                           ': 145,\n",
       " 'Itapecirica, Est de  (F)                Bairro/Centro                           ': 274,\n",
       " 'Itapecirica, Est de  (F)                Centro/Bairro                           ': 86,\n",
       " 'Itápolis, R                             //unico                                 ': 6,\n",
       " 'Jacinto Júlio, Av                       Bairro/Centro                           ': 2,\n",
       " 'Jaguare, Av                             Bairro/Centro                           ': 353,\n",
       " 'Jaguare, Av                             Centro/Bairro                           ': 287,\n",
       " 'Jaguaré, Pte                            Jaguaré/Lapa                            ': 314,\n",
       " 'Jaguaré, Pte                            Lapa/Jaguaré                            ': 828,\n",
       " 'Jangadeiro, Av                          Bairro/Centro                           ': 1,\n",
       " 'Jangadeiro, Av                          Centro/Bairro                           ': 4,\n",
       " 'Jose Colassuono, Vd                     unico//                                 ': 1534,\n",
       " 'Jose Felix, R                           Campo Limpo/Morato                      ': 6,\n",
       " 'Jose Felix, R                           Morato/Campo Limpo                      ': 2,\n",
       " 'José Diniz,  Av Ver  (F)                Bairro/Centro                           ': 915,\n",
       " 'José Diniz,  Av Ver  (F)                Centro/Bairro                           ': 1726,\n",
       " 'José Diniz, Av Ver                      Bairro/Centro                           ': 2743,\n",
       " 'José Diniz, Av Ver                      Centro/Bairro                           ': 3017,\n",
       " 'José Garzotti, Av. Pe                   Teotônio/Batista Botelho                ': 1,\n",
       " 'José Maria,  Av Pe                      Bairro/Centro                           ': 267,\n",
       " 'José Maria,  Av Pe                      Centro/Bairro                           ': 18,\n",
       " 'João De Luca, Ver                       Diadema/Marginal                        ': 122,\n",
       " 'João De Luca, Ver                       Marginal/Diadema                        ': 68,\n",
       " 'João Dias, Av                           Bairro/Centro                           ': 2689,\n",
       " 'João Dias, Av                           Centro/Bairro                           ': 2667,\n",
       " 'João Dias, Av (F)                       Bairro/Centro                           ': 1580,\n",
       " 'João Dias, Av (F)                       Centro/Bairro                           ': 1350,\n",
       " 'João Goulart, Elev Pres                 Lapa/Penha                              ': 173,\n",
       " 'João Goulart, Elev Pres                 Penha/Lapa                              ': 95,\n",
       " 'João Jorge Saad,Vd (Cebolinha)          Centro/Bairro                           ': 384,\n",
       " 'João Mendes, Pça                        //unico                                 ': 642,\n",
       " 'João Paulo da Silva, Av                 Bairro/Centro                           ': 5,\n",
       " 'João Paulo da Silva, Av                 Centro/Bairro                           ': 2,\n",
       " 'João, Av São                            único//                                 ': 185,\n",
       " 'Julio de Mesquita, Pte                  Lapa/Piqueri                            ': 29,\n",
       " 'Julio de Mesquita, Pte                  Limão/Pompéia                           ': 667,\n",
       " 'Julio de Mesquita, Pte                  Piqueri/Lapa                            ': 77,\n",
       " 'Julio de Mesquita, Pte                  Pompéia/Limão                           ': 55,\n",
       " 'Juntas Provisórias, R das               Ipiranga/Vila Prudente                  ': 2782,\n",
       " 'Juntas Provisórias, R das               Vila Prudente/Ipiranga                  ': 1425,\n",
       " 'Juscelino Kubitschek, Av Pres           Ibirapuera/Pinheiros                    ': 7635,\n",
       " 'Juscelino Kubitschek, Av Pres           Pinheiros/Ibirapuera                    ': 8411,\n",
       " 'Jânio Quadros, Pres. Pte (Vila Maria)   Bairro/Centro                           ': 114,\n",
       " 'Jânio Quadros, Pres. Pte (Vila Maria)   Centro/Bairro                           ': 68,\n",
       " 'Jânio Quadros, Túnel                    unico//                                 ': 4050,\n",
       " 'Lapa, Vd                                Lapa/Piqueri                            ': 306,\n",
       " 'Lapa, Vd                                Piqueri/Lapa                            ': 684,\n",
       " 'Liberdade/ Vergueiro, Av                Bairro/Centro                           ': 841,\n",
       " 'Liberdade/ Vergueiro, Av                Centro/Bairro                           ': 735,\n",
       " 'Ligação - Dec HG (F)                    Lapa/Penha                              ': 2672,\n",
       " 'Ligação - Dec HG (F)                    Penha/Lapa                              ': 2958,\n",
       " 'Ligação Leste-Oeste                     Lapa/Penha                              ': 4424,\n",
       " 'Ligação Leste-Oeste                     Penha/Lapa                              ': 4357,\n",
       " 'Limão / Av. Ordem e Progresso, Pte      Limão/Sumaré                            ': 3797,\n",
       " 'Limão / Av. Ordem e Progresso, Pte      Sumaré/Limão                            ': 182,\n",
       " 'Limão, Pt/Ordem e Progresso, Av (N USAR)Limão/Sumaré                            ': 3,\n",
       " 'Lineu de Paula Machado, Av              Bairro/Centro                           ': 1190,\n",
       " 'Lineu de Paula Machado, Av              Butanta/Morumbi                         ': 849,\n",
       " 'Lineu de Paula Machado, Av              Centro/Bairro                           ': 70,\n",
       " 'Lineu de Paula Machado, Av              Joquei/USP                              ': 62,\n",
       " 'Lineu de Paula Machado, Av              Morumbi/Butanta                         ': 79,\n",
       " 'Lineu de Paula Machado, Av              USP/Joquei                              ': 597,\n",
       " 'Luis Antonio, Av Brig                   Bairro/Centro                           ': 433,\n",
       " 'Luis Antonio, Av Brig                   Centro/Bairro                           ': 171,\n",
       " 'Luis Antonio, Av Brig.   Dec-PA  (F)    Bairro/Centro                           ': 357,\n",
       " 'Luis Antonio, Av Brig.   Dec-PA  (F)    Centro/Bairro                           ': 20,\n",
       " 'Luis Carlos Berrini, Av Eng             Bandeirantes/Morumbi                    ': 1593,\n",
       " 'Luis Carlos Berrini, Av Eng             Morumbi/Bandeirantes                    ': 967,\n",
       " 'Luis Carlos Berrini,Eng Av (F)          Bandeirantes/Morumbi                    ': 1514,\n",
       " 'Luis Carlos Berrini,Eng Av (F)          Morumbi/Bandeirantes                    ': 906,\n",
       " 'Luis, Av. São                           //unico                                 ': 195,\n",
       " 'Luiz Ignácio de Anhaia Mello, Av Prof   Bairro/Centro                           ': 4055,\n",
       " 'Luiz Ignácio de Anhaia Mello, Av Prof   Centro/Bairro                           ': 2964,\n",
       " 'Luiz Ignácio de Anhaia Mello, Av Prof   Sapopem./Vila Prudente                  ': 706,\n",
       " 'Luiz Ignácio de Anhaia Mello, Av Prof   Vila Prudente/Sapopem.                  ': 360,\n",
       " 'M Paula, R/Jacarei/n Julho, Vd (F)      //unico                                 ': 2,\n",
       " 'M.M.D.C, R                              único//                                 ': 1597,\n",
       " 'Manuel de Teffé, R                      Bairro/Centro                           ': 7,\n",
       " 'Marginal Pinheiros                      Castelo/Interlagos                      ': 10332,\n",
       " 'Marginal Pinheiros                      Interlagos/Castelo                      ': 9675,\n",
       " 'Marginal Tietê                          A.Senna/Castelo Branco                  ': 10776,\n",
       " 'Marginal Tietê                          Castelo/A.Senna                         ': 9885,\n",
       " 'Marginal Tietê - Pista Central          A.Senna/Castelo Branco                  ': 2883,\n",
       " 'Marginal Tietê - Pista Central          Castelo/A.Senna                         ': 2974,\n",
       " 'Maria Coelho Aguiar, Av                 Bairro/Centro                           ': 746,\n",
       " 'Maria Coelho Aguiar, Av                 Centro/Bairro                           ': 2554,\n",
       " 'Maria Maluf, CV                         Anchieta/Imigrantes                     ': 4512,\n",
       " 'Maria Maluf, CV                         Imigrantes/Anchieta                     ': 5019,\n",
       " 'Maria Paula/Vd Jacareí/Vd 9 de Julho    único//                                 ': 2778,\n",
       " 'Matriz, R da                            unico//                                 ': 14,\n",
       " 'Max Feffer Túnel (Cidade Jardim)        Bairro/Centro                           ': 4793,\n",
       " 'Max Feffer Túnel (Cidade Jardim)        Centro/Bairro                           ': 2667,\n",
       " 'Melo Peixoto, R                         Bairro/Centro                           ': 1244,\n",
       " 'Melo Peixoto, R                         Centro/Bairro                           ': 1352,\n",
       " 'Melo Peixoto, R (F)                     Bairro/Centro                           ': 286,\n",
       " 'Melo Peixoto, R (F)                     Centro/Bairro                           ': 126,\n",
       " 'Mercúrio, Av                            único//                                 ': 3250,\n",
       " 'Miguel Estefano,VD                      Abraão de Morais/Cursino                ': 26,\n",
       " 'Miguel Estefano,VD                      Cursino/Abraão de Morais                ': 10,\n",
       " 'Miguel Yunes/Pte Vitorino Goulart       Interlagos/Marginal                     ': 6,\n",
       " 'Miguel Yunes/Pte Vitorino Goulart       Marginal/Interlagos                     ': 3,\n",
       " 'Morumbi, Av                             Campo Limpo/Santo Amaro                 ': 194,\n",
       " 'Morumbi, Av                             Morumbi/Santo Amaro                     ': 1134,\n",
       " 'Morumbi, Av                             Santo Amaro/Campo Limpo                 ': 196,\n",
       " 'Morumbi, Av                             Santo Amaro/Morumbi                     ': 358,\n",
       " 'Morumbi, Av. e Pte                      Aeroporto/Marginal                      ': 2175,\n",
       " 'Morumbi, Av. e Pte                      Marginal/Aeroporto                      ': 2632,\n",
       " 'M´Boi Mirim, Est                        Bairro/Centro                           ': 8,\n",
       " 'M´Boi Mirim, Est                        Centro/Bairro                           ': 1,\n",
       " 'Natanael,  R Mj (F)                     Estadio/Jardins                         ': 279,\n",
       " 'Nova Morumbi, Pte (F)                   unico//                                 ': 1026,\n",
       " 'Nove de Julho, Av                       Bairro/Centro                           ': 4115,\n",
       " 'Nove de Julho, Av                       Centro/Bairro                           ': 5088,\n",
       " 'Nove de Julho, Av (F)                   Bairro/Centro                           ': 2488,\n",
       " 'Nove de Julho, Av (F)                   Centro/Bairro                           ': 2439,\n",
       " 'Nove de Julho, Av - DEC PA  (F)         Bairro/Centro                           ': 297,\n",
       " 'Nove de Julho, Av - DEC PA  (F)         Centro/Bairro                           ': 719,\n",
       " 'Olivia Guedes Penteado, R               Bairro/Centro                           ': 2,\n",
       " 'Oscar Americano, R Eng                  Bairro/Centro                           ': 2037,\n",
       " 'Oscar Americano, R Eng                  Centro/Bairro                           ': 1767,\n",
       " 'Oscar Americano, R Eng  (F)             Bairro/Centro                           ': 445,\n",
       " 'Oscar Americano, R Eng  (F)             Centro/Bairro                           ': 62,\n",
       " 'Outeiro, Av NSra do                     Batista Botelho/Teotônio                ': 1,\n",
       " 'Pacaembu / Mj Natanael / Abraao Ribeiro Estádio/Marginal                        ': 1390,\n",
       " 'Pacaembu / Mj Natanael / Abraao Ribeiro Marginal/Estádio                        ': 4199,\n",
       " 'Pacaembu, Vd (F)                        Bairro/Centro                           ': 330,\n",
       " 'Pacaembu, Vd (F)                        Centro/Bairro                           ': 279,\n",
       " 'Pacheco e Chaves, Cap. Vd               Ipiranga/Vila Prudente                  ': 188,\n",
       " 'Pacheco e Chaves, Cap. Vd               Vila Prudente/Ipiranga                  ': 1791,\n",
       " 'Pacheco e Chaves, R Cap                 Bairro/Centro                           ': 310,\n",
       " 'Pacheco e Chaves, R Cap                 Centro/Bairro                           ': 36,\n",
       " 'Papini, Av Prof                         Bairro/Centro                           ': 5,\n",
       " 'Papini, Av Prof                         Centro/Bairro                           ': 20,\n",
       " 'Paulina, Vd Dona                        //unico                                 ': 2644,\n",
       " 'Paulina, Vd Dona  (F)                   único//                                 ': 1935,\n",
       " 'Paulista, Av                            Consolação/Paraiso                      ': 6247,\n",
       " 'Paulista, Av                            Paraiso/Consolação                      ': 9888,\n",
       " 'Paulo Eiró, R                           único//                                 ': 2,\n",
       " 'Paulo VI, Av                            Limão/Sumaré                            ': 72,\n",
       " 'Paulo VI, Av                            Sumaré/Limão                            ': 36,\n",
       " 'Pedro Alvares Cabral, Av                Pinheiros/Vila Mariana                  ': 680,\n",
       " 'Pedro Alvares Cabral, Av                Vila Mariana/Pinheiros                  ': 1231,\n",
       " 'Pedro Alvares Cabral, Av  (F)           Pinheiros/Vila Mariana                  ': 791,\n",
       " 'Pedro Alvares Cabral, Av  (F)           Vila Mariana/Pinheiros                  ': 1975,\n",
       " 'Pedro I, Av. Dom                        Bairro/Centro                           ': 13,\n",
       " 'Pedro I, Av. Dom                        Centro/Bairro                           ': 18,\n",
       " 'Pinedo, Av de                           unico//                                 ': 1,\n",
       " 'Piqueri, Pt                             Lapa/Piqueri                            ': 579,\n",
       " 'Piqueri, Pt                             Piqueri/Lapa                            ': 903,\n",
       " 'Piqueri, Pte (F)                        Lapa/Piqueri                            ': 278,\n",
       " 'Piqueri, Pte (F)                        Piqueri/Lapa                            ': 1054,\n",
       " 'Pirajussara, Av                         Bairro/Centro                           ': 17,\n",
       " 'Pirajussara, Av                         Centro/Bairro                           ': 53,\n",
       " 'Pompeia, Vd                             Marginal/Pompeia                        ': 2452,\n",
       " 'Pompeia, Vd                             Pompeia/Marginal                        ': 384,\n",
       " 'Queiroz Filho /Jaguaré, Pte             Bairro/Centro                           ': 554,\n",
       " 'Queiroz Filho /Jaguaré, Pte             Centro/Bairro                           ': 1276,\n",
       " 'Queiroz, Av. Sen.                       //unico                                 ': 956,\n",
       " 'Radial Leste - DEC BR                   Bairro/Centro                           ': 6210,\n",
       " 'Radial Leste - DEC BR                   Centro/Bairro                           ': 4474,\n",
       " 'Radial Leste - DEC MO                   Bairro/Centro                           ': 7150,\n",
       " 'Radial Leste - DEC MO                   Centro/Bairro                           ': 4722,\n",
       " 'Raimundo Pereira Magalhaes, Av          Bairro/Centro                           ': 47,\n",
       " 'Raimundo Pereira Magalhaes, Av          Centro/Bairro                           ': 5,\n",
       " 'Raimundo Pereira de Magalhães - Norte   Bairro/Centro                           ': 12,\n",
       " 'Raimundo Pereira de Magalhães - Norte   Centro/Bairro                           ': 3,\n",
       " 'Raimundo Pereira de Magalhães - Sul     Bairro/Centro                           ': 4,\n",
       " 'Raimundo Pereira de Magalhães - Sul     Centro/Bairro                           ': 5,\n",
       " 'Rangel Pestana, Av (F)                  unico//                                 ': 163,\n",
       " 'Rangel Pestana, Av DEC BR               //unico                                 ': 1134,\n",
       " 'Rangel Pestana, Av DEC CT               Bairro/Centro                           ': 548,\n",
       " 'Rangel Pestana, Av DEC CT               Centro/Bairro                           ': 66,\n",
       " 'Raposo Tavares, Via                     Capital/Interior                        ': 632,\n",
       " 'Raposo Tavares, Via                     Interior/Capital                        ': 3652,\n",
       " 'Reação, R                               único//                                 ': 1388,\n",
       " 'Rebouças/ Eusébio Matoso,  Av           Bairro/Centro                           ': 8167,\n",
       " 'Rebouças/ Eusébio Matoso,  Av           Centro/Bairro                           ': 8720,\n",
       " 'Remédios, Pte                           Lapa/Remédios                           ': 1471,\n",
       " 'Remédios, Pte                           Remédios/Lapa                           ': 1965,\n",
       " 'Republica da Armenia, Vd                único//                                 ': 4197,\n",
       " 'República do Líbano, Av                 Bairro/Centro                           ': 750,\n",
       " 'República do Líbano, Av                 Centro/Bairro                           ': 788,\n",
       " 'República do Líbano, Av  (F)            Bairro/Centro                           ': 248,\n",
       " 'República do Líbano, Av  (F)            Centro/Bairro                           ': 129,\n",
       " 'Ribeiro Lacerda, R                      Abraão de Morais/Cursino                ': 2,\n",
       " 'Ribeiro Lacerda, R                      Cursino/Abraão de Morais                ': 21,\n",
       " 'Ricardo Jafet, Av                       Bairro/Centro                           ': 159,\n",
       " 'Ricardo Jafet, Av                       Centro/Bairro                           ': 228,\n",
       " 'Rio Bonito, Av                          Centro/Bairro                           ': 1,\n",
       " 'Rio Branco,  Br do                      unico//                                 ': 122,\n",
       " 'Rio Branco, Av                          Bairro/Centro                           ': 195,\n",
       " 'Rio Branco, Av                          Centro/Bairro                           ': 342,\n",
       " 'Robert Kennedy, Av                      Bairro/Centro                           ': 164,\n",
       " 'Robert Kennedy, Av                      Centro/Bairro                           ': 37,\n",
       " 'Roberto Abreu Sodré, Vd                 Bairro/Centro                           ': 2243,\n",
       " 'Roberto Abreu Sodré, Vd                 Centro/Bairro                           ': 169,\n",
       " 'Roque Petroni Júnior, Av                Diadema/Marginal                        ': 1253,\n",
       " 'Roque Petroni Júnior, Av                Marginal/Diadema                        ': 683,\n",
       " 'Roque Petroni Júnior, Av (F)            Diadema/Marginal                        ': 881,\n",
       " 'Roque Petroni Júnior, Av (F)            Marginal/Diadema                        ': 496,\n",
       " 'Rudge, Av/Orlando Murgel, Vd            Bairro/Centro                           ': 484,\n",
       " 'Rudge, Av/Orlando Murgel, Vd            Centro/Bairro                           ': 541,\n",
       " 'Rudge, Av/Orlando Murgel, Vd (F)        Bairro/Centro                           ': 233,\n",
       " 'Rudge, Av/Orlando Murgel, Vd (F)        Centro/Bairro                           ': 232,\n",
       " 'S.Vicente, Av Marques de (F)            Barra Funda/Lapa                        ': 90,\n",
       " 'S.Vicente, Av Marques de (F)            Lapa/Barra Funda                        ': 526,\n",
       " 'Sabará, Av NSra do                      Bairro/Centro                           ': 6,\n",
       " 'Sabará, Av NSra do                      Centro/Bairro                           ': 1,\n",
       " 'Salim F Maluf, Av/Tatuapé, Pt (N USAR)  Marginal/Vila Prudente                  ': 1,\n",
       " 'Salim Farah Maluf, Av/Tatuapé, Pte      Marginal/Vila Prudente                  ': 5335,\n",
       " 'Salim Farah Maluf, Av/Tatuapé, Pte      Vila Prudente/Marginal                  ': 3669,\n",
       " 'Sapetuba, R                             único//                                 ': 1637,\n",
       " 'Sebastião Camargo, Túnel                unico//                                 ': 4718,\n",
       " 'Socorro, Pte                            Bairro/Centro                           ': 1365,\n",
       " 'Socorro, Pte                            Centro/Bairro                           ': 1640,\n",
       " 'Sumaré, Av                              Limão/Sumaré                            ': 149,\n",
       " 'Sumaré, Av                              Sumaré/Limão                            ': 255,\n",
       " 'Susana Rodrigues, R                     unico//                                 ': 444,\n",
       " 'São Vicente, Av Marq de                 Barra Funda/Lapa                        ': 856,\n",
       " 'São Vicente, Av Marq de                 Lapa/Barra Funda                        ': 1933,\n",
       " 'Sé, Pça da                              //unico                                 ': 205,\n",
       " 'Tabapua,R  (F)                          unico//                                 ': 196,\n",
       " 'Tabapuã, R                              //unico                                 ': 39,\n",
       " 'Tabapuã, R                              único//                                 ': 482,\n",
       " 'Tajurás, Av dos                         Bairro/Centro                           ': 2201,\n",
       " 'Tajurás, Av dos                         Centro/Bairro                           ': 297,\n",
       " 'Tancredo Neves, Av                      Anchieta/Imigrantes                     ': 395,\n",
       " 'Tancredo Neves, Av                      Imigrantes/Anchieta                     ': 336,\n",
       " 'Teodoro Sampaio, R                      unico//                                 ': 1651,\n",
       " 'Teotonio Vilela, Av Sen                 Bairro/Centro                           ': 41,\n",
       " 'Teotonio Vilela, Av Sen                 Centro/Bairro                           ': 7,\n",
       " 'Transamérica, Pte                       unico//                                 ': 1208,\n",
       " 'Trib de Justiça, Túnel                  Ibirapuera/Marginal                     ': 6386,\n",
       " 'Trib de Justiça, Túnel                  Marginal/Ibirapuera                     ': 3397,\n",
       " 'Trinta e Um de Março, Vd                unico//                                 ': 1540,\n",
       " 'Vale/P.Maia/Tirad/S.Dumont              Aeroporto/Santana                       ': 5988,\n",
       " 'Vale/P.Maia/Tirad/S.Dumont              Santana/Aeroporto                       ': 9089,\n",
       " 'Vale/P.Maia/Tirad/S.Dumont  (NÃO USAR)  Santana/Aeroporto                       ': 1,\n",
       " 'Valerio, Av São                         Bairro/Centro                           ': 1471,\n",
       " 'Valerio, Av São                         Centro/Bairro                           ': 24,\n",
       " 'Vicente Rao, Av Prof                    Diadema/Marginal                        ': 362,\n",
       " 'Vicente Rao, Av Prof                    Marginal/Diadema                        ': 245,\n",
       " 'Vicente Rao, Av Prof  (F)               Diadema/Marginal                        ': 5,\n",
       " 'Vicente Rao, Av Prof  (F)               Marginal/Diadema                        ': 2,\n",
       " 'Vila Guilherme, Pte                     Bairro/Centro                           ': 211,\n",
       " 'Vila Guilherme, Pte                     Centro/Bairro                           ': 92,\n",
       " 'Vila Matilde, Vd                        Penha/Vl Matilde                        ': 19,\n",
       " 'Vila Matilde, Vd                        Vl Matilde/Penha                        ': 32,\n",
       " 'Vinte Três/R Berta/M Guim (NÃO USAR)    Aeroporto/Santana                       ': 2,\n",
       " 'Vinte Três/R Berta/M Guimarães          Aeroporto/Santana                       ': 9678,\n",
       " 'Vinte Três/R Berta/M Guimarães          Santana/Aeroporto                       ': 10112,\n",
       " 'Vinte e Cinco de Março, Vd              único//                                 ': 140,\n",
       " 'Vital Brasil, Av                        Bairro/Centro                           ': 2983,\n",
       " 'Vital Brasil, Av                        Centro/Bairro                           ': 459,\n",
       " 'Vitor Manzini, Av                       Bairro/Centro                           ': 199,\n",
       " 'Vitor Manzini, Av                       Centro/Bairro                           ': 806,\n",
       " 'Washington Luis, Av                     Bairro/Centro                           ': 3511,\n",
       " 'Washington Luis, Av                     Centro/Bairro                           ': 2900,\n",
       " 'XXX                                     Campo Limpo/Morato                      ': 7,\n",
       " 'XXX                                     Morato/Campo Limpo                      ': 5,\n",
       " 'Xangai, Vd                              unico//                                 ': 84}"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "jam_count"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__jam_count__ is the dictionary listing all counts of traffic jams for each road."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following graph plots the distribution of traffic jam counts between 2001 and 2019 for each and every road. It might seem more adapted to focus our renovations on the roads more likely to be impacted by traffic jams, and for that we may drop the roads with a small jam count."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "sorted_jam_count = sorted(jam_count, key=jam_count.get)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 8))\n",
    "\n",
    "plt.plot(gs.sort(list(jam_count.values())))\n",
    "plt.xlabel(\"road n°\")\n",
    "plt.ylabel(\"number of traffic jams between 2001 and 2019\")\n",
    "plt.title(\n",
    "    \"Number of traffic jams between 2001 and 2019 for each road in increasing order\"\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "list_jam_count = gs.sort(list(jam_count.values()))\n",
    "cdf = [list_jam_count[0]]\n",
    "for i in range(len(list_jam_count)):\n",
    "    cdf.append(cdf[i] + list_jam_count[i])\n",
    "\n",
    "cdf = gs.stack(cdf) / cdf[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 8))\n",
    "plt.plot(cdf)\n",
    "\n",
    "plt.xlabel(\"road n°\")\n",
    "plt.title(\"Cumulative distribution function of traffic jams in SP\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The 180 most congestioned roads make up for 90% of all traffic jams in Sao Paulo between 2001 and 2019. That is where we will focus our renovation efforts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "roads_to_renovate = sorted_jam_count[-180:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Mathematical modeling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the following 2 sections, we establish a precise framework, listing the hypotheses and simplifications supporting our model. In particular:\n",
    "- 3.1. gives an introduction to the Gamma manifold and explains how each road can be represented by a point on it.\n",
    "- 3.2. justifies the use of information geometry to tackle the problem at hand, by seeing a renovation effort on a given road as a tangent vector based at its associated point."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.1. Road representation: introduction to the Gamma manifold."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The modeling of the study relies heavily on the representation of a traffic jam as a random variable.\n",
    "In fact, the waiting time in a given traffic jam can be predicted by a Gamma distribution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.1. Hypotheses"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We consider that a traffic jam has a fixed exit rate, meaning that on average, in a given unit of time the same count of cars will exit the jam. The waiting time to exit the traffic jam once a car is ahead of the lane is independent of other cars and depends on the road only.\n",
    "\n",
    "In addition, switching lanes rarely helps, and if so, to a negligible extent; furthermore a car entering the traffic jam will almost always choose the least crowded lane (all drivers are a priori mentally sane). These two observations allow to reduce the modeling of a whole traffic jam to that of a single lane, although only in representation, because cars next to each other will have the same behavior. This means that in our modelling the width of the road is not taken into account, as mentioned in the introduction. \n",
    "\n",
    "Both of these hypotheses are central to the model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.2. Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In a traffic jam, you wait until every car in front of you has exited the traffic jam, meaning that the waiting time for a car entering the jam is merely the sum of the exit times of all the cars in front.\n",
    "\n",
    "As a $\\nu$-exponential process predicts the waiting time until one very first event (where $\\nu$ is a rate of a unit of time), a $(k,\\, \\nu)$-Gamma process will predict the waiting time until the $k$-th event: mathematically, it is the sum of $k$ i.i.d. $\\nu$-exponential processes. In the context of congestion time in a traffic jam, we are summing exit times, hence the connection between waiting time and Gamma disribution.\n",
    "\n",
    "Therefore, the congestion time of the jam follows a Gamma distribution associated to the road. Its parameters are:\n",
    "- $k$, the length of the car lane (jam size) in arbitrary units;\n",
    "- $\\nu$, the exit time rate of the traffic jam, i.e. the number of cars (in the same arbitrary unit) that exit the traffic jam in a given amount of time, so essentially the speed of the traffic jam.\n",
    "\n",
    "By arbitrary units we mean that there exists a number $n$ of cars, common to every road, such that $n$ cars will exit the jam every $\\frac{1}{\\nu}$ (depending on the road) unit of time on average. From this we draw that a road with car length $k$ is in fact as long as $kn$ cars. \n",
    "\n",
    "For a given road $r$, we note $T_r$ the congestion time that cars will have to wait in the case the traffic is jammed: $T_r \\rightsquigarrow G(k_r, \\nu_r)$, with distribution: $$\\forall t>0, \\, \\mathbb{f}(t) = \\frac{\\nu_r^{k_r}}{\\Gamma(k_r)} t^{k_r-1} e^{-\\nu_r t}.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>\n",
    "    <img src='figures/car_lane.png' width=600px>\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As a road $x_r$ can be represented by two parameters $k_r$ and $\\nu_r$, we can consider our space of study to be the space of such parameters (i.e. $\\mathbb{(R_+^*)^2}$).\n",
    "\n",
    "For the following, we denote Gamma distributions' parameters by $(\\kappa_r, \\gamma_r)$, where $\\kappa_r$=$k_r$ (expected jam size) and $\\gamma_r$=$\\frac{k_r}{\\nu_r}$ is the expected congestion time (mean of the Gamma distribution). The space of study is still $\\mathbb{(R_+^*)^2}$, and we are instantiating it in the next cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from geomstats.information_geometry.gamma import (\n",
    "    NaturalToStandardDiffeo,\n",
    "    GammaDistributions,\n",
    ")\n",
    "\n",
    "space = GammaDistributions()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's also adapt the `exp_solver`, as the default does not allow automatic differentiation due to the use of `scipy.integrate.solve_ivp` (we need to choose a different integrator)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from geomstats.numerics.ivp import GSIVPIntegrator\n",
    "\n",
    "space.metric.exp_solver.integrator = GSIVPIntegrator(n_steps=100, step_type=\"euler\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For instance, on the following graph we are representing 3 roads."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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a1ZBkSDJcXFyMVq1aGWfPnr3jcu3btzckGf3797drnzNnjiHJGDZsmF17q1atDIvFYuzfv9/WlpSUlKbfyMhIo2TJkrbv4+LiDDc3N6N58+aG1Wq1tb/99tuGJKN9+/a2tsqVKxvNmze/Y+03y8hyDRs2NBo2bJimvX379kZoaKjt+4MHDxqSDE9PT+Po0aO29nXr1hmSjL59+9raBg0aZNx4KDp06JDh6upqfPDBB3br2LFjh5EnTx5b+7Vr14ywsDAjNDTUOHfunN28N26jHj16GJk51FWoUCHd19inTx9DkrFixQpb24ULF4ywsDCjRIkSRkpKym379fLysvs5pUp9/W3atEkzLb1948cffzQkGX///betbenSpYYkY8aMGXbzTpkyxZBkbNiwwa795p/XkiVLDElG796906zvxm2Znpv7Sq/u5ORkIyIiwnj44Yft2iUZ7u7uxsGDB21tX3/9tSHJCA4ONhISEmztAwYMMCTZ5t2yZUu6r9lRqduqXr16xrVr12ztFy5cMPz9/Y0uXbrYzX/y5EnDz8/Prj31eNCrVy9bm9VqNZo3b264ubkZp0+fNgzj/94fvr6+RlxcnF2/TZo0MSpWrGhcvnzZro86deoYZcqUsbVl5P2a0b5SX3vTpk3tft59+/Y1XF1djfPnz9vabvX+eP/99w0vLy9j7969du39+/c3XF1djdjYWMMw/u/Y+PHHH9vmuXbtmlG/fn1DkjFlypTbvqbLly+nea8dPHjQcHd3N4YOHWpre/LJJ40KFSrctq/0pL6XihQpYrf//e9//zMkGWPGjDEM4/o+XbBgQSMiIsK4dOmSbb4//vjDkGQMHDjQ1nbzMc4wru/7bm5udr8Ltm3bZkgyxo4da2sbOXKk3X6f6rPPPjMk2fapjNq6dashyXjllVfs2qOjow1JxpIlS2xtoaGhaY41cXFxhru7u/HGG2/cdj2nT582JBmDBg1KMy31fXLjz8swDKNq1apGtWrVbN+vWLHCkGRMnz7dbr558+al236j1G3Zp0+fNNPOnDljnD592vZ15coV27T0jrkjRowwLBaLcfjw4TSvYfjw4ba2c+fOGZ6enobFYjF++uknW/vu3bvTbIvU91xkZKTde6527dqGxWIxXnvtNVvbtWvXjKJFi6Z532X0OJuehg0bGpKMH374IU2dLi4uxtq1a23t8+fPT/PeTG87rVmzxpBkfPfdd2leZ0aOLen9fSHJ6NGjh11bRn8Xpx5nb6y7SpUqRkhIiN16FyxYYEhK83sMuJu4ZB2Q1KdPHy1cuFBTp07VY489ppSUlDRnnm/nxk/0pesDibm6uqp379527W+88YYMw9Bff/1la0s92yJJ8fHx+u+//9SwYUP9+++/tktvFy1apOTkZPXq1cvusq0+ffqkqcXf3187d+7Uvn37Mlx/Vpa7naeeekpFihSxfV+zZk3VqlVLc+fOveUyv/zyi6xWq5577jn9999/tq/g4GCVKVNGS5culSRt2bJFBw8eVJ8+fdKcicqORwzNnTtXNWvWtF1OLkne3t569dVXdejQIdvlxo567bXX0rTduG9cvnxZ//33nx566CFJ0ubNm7O0vhvNmjVLFotFgwYNSjPNkW15Y93nzp1TfHy86tevn27NTZo0sTvDXKtWLUnSs88+a3eZaWp76qjIqWfA58+fr6SkpEzXeCtdunSxu4R14cKFOn/+vNq0aWO3P7q6uqpWrVq2/fFGPXv2tP0/9dLk5OTkNJd9Pvvss7ZLe6Xrl2MvWbJEzz33nC5cuGBb15kzZxQZGal9+/bZLoe+0/s1M32levXVV+1+3vXr11dKSooOHz58x+02Y8YM1a9fX/nz57fbTk2bNlVKSor+/vtvSdffR3ny5LE7Zrq6uqpXr153XIckubu7y8Xl+p8uKSkpOnPmjO1y7Rv3L39/fx09elQbNmzIUL83a9eund3+16pVK4WEhNiOXRs3blRcXJy6d+8uDw8P23zNmzdXuXLlMnT5bNOmTe2uWqlUqZJ8fX0zNPJ36jHv119/zdSgiqn1R0VF2bW/8cYbkpSm7vDwcNWvX9/2fVBQkMqWLeuU0clvPubVr1/frt8ZM2bIz89PjzzyiN0+Va1aNXl7e6f73kuVkJAgSek+Xq1kyZIKCgqyfd14C8eNx66LFy/qv//+U506dWQYhrZs2ZKmrxsH0fT391fZsmXl5eWl5557ztZetmxZ+fv7p7vNOnfubPeeq1WrlgzDUOfOnW1trq6uql69eprlM3OcTY+3t7deeOGFNHWWL1/edrxNrUmS3fpvXPfVq1d15swZlS5dWv7+/umuPyvHlps5+rv4xIkT2rp1q9q3b293BdUjjzyi8PDwTNcBOBOBHJBUrlw5NW3aVO3atdMff/yhxMREtWzZMs09W+nJkydPmsudDh8+rMKFC6e5b618+fK26alWrVqlpk2bysvLS/7+/goKCrLdB5gayFPnL1OmjF1/QUFByp8/v13b0KFDdf78eT3wwAOqWLGi3nzzTW3fvv2Or8PR5W7n5nol6YEHHkhzn9mN9u3bJ8MwVKZMGbs/moKCgvTPP//YBio7cOCAJCkiIiJLNWbU4cOHVbZs2TTt6f1MHXHzpYzS9VD1+uuvq1ChQvL09FRQUJBtPkfuk76VAwcOqHDhwgoICHBKf3/88YceeugheXh4KCAgwHYJa3o1Fy9e3O771D+UihUrlm576r2jYWFhioqK0jfffKPAwEBFRkbqyy+/zPJ2ufnnkBp4H3744TT744IFC2z7YyoXFxeVLFnSru2BBx6QpDT7/c3r2r9/vwzD0HvvvZdmXakflqSu707v18z0lermn0XqsSUj9+vu27dP8+bNS7Ou1NH9U9d1+PBhhYSEpAlK6b230mO1WvXZZ5+pTJkycnd3V2BgoIKCgrR9+3a7n32/fv3k7e2tmjVrqkyZMurRo0eGLudOdfOxy2KxqHTp0rafYer7Pb26y5Url6Hjwc3bW7q+zTOyvZ9//nnVrVtXr7zyigoVKqQXXnhB//vf/+4Yzg8fPiwXFxeVLl3arj04OFj+/v5p6s5KjbeTOk7F7frdt2+f4uPjVbBgwTT7VWJiYpr990apv3sTExPTTPv111+1cOFCffLJJ2mmxcbGqkOHDgoICLDd2546RsfNx5b0XoOfn5+KFi2a5oNMPz+/dLdZZo5/Ny+fmeNsem5V552OvZJ06dIlDRw40DZeROr78Pz58xk6zmfm2HIzR38X3+rvKCnjxx8gu3APOZCOVq1aqWvXrtq7d+8dD9Q3nrHJrAMHDqhJkyYqV66cRo0apWLFisnNzU1z587VZ5995tDjpBo0aKADBw7o119/1YIFC/TNN9/os88+0/jx4+0+zXdkudRBVm5280A8WWG1WmWxWPTXX3+l+yia9M545AQ3nnFI9dxzz2n16tV68803VaVKFXl7e8tqterRRx+9Zx81tmLFCj3xxBNq0KCBvvrqK4WEhChv3ryaMmVKugNq3epxQ7dqv3H/+/TTT9WhQwfbPtu7d2+NGDFCa9eudfiewJt/Dqnbedq0aQoODk4zf1ZGz77VuqKjoxUZGZnuMqlB6k7v18z0lSoj2/xWrFarHnnkEb311lvpTk/9UCKrhg8frvfee0+dOnXS+++/r4CAALm4uKhPnz5274ny5ctrz549+uOPPzRv3jzNmjVLX331lQYOHGh7HJfZsrK9PT099ffff2vp0qX6888/NW/ePP388896+OGHtWDBgjs+xiujV75kpUZH+r2R1WpVwYIFNX369HSn3xyGb1S6dGnlyZMnzSCikmwB++b3bkpKih555BGdPXtW/fr1U7ly5eTl5aVjx46pQ4cOaY65WTl2OdLHjctn9jibmTozUn+vXr00ZcoU9enTR7Vr15afn58sFoteeOGFdH83Zdd+BOQUBHIgHakjqjp6ti00NFSLFi3ShQsX7M6S79692zZdkn7//XdduXJFv/32m90nyDdfipc6/759++zOvp0+fTrdT5gDAgLUsWNHdezYUYmJiWrQoIEGDx5820CekeXy58+f7mV3t/pEOr3Laffu3XvLEdml64OdGYahsLCw2/4Rn3qpZ0xMjN0ztm+W2UuubzV/aGio9uzZk6b95p+ps+o4d+6cFi9erCFDhmjgwIG2dmfeUpCqVKlSmj9/vs6ePZvls+SzZs2Sh4eH5s+fL3d3d1v7lClTslpmuipWrKiKFSvq3Xff1erVq1W3bl2NHz9ew4YNc0r/qftZwYIFb7ufpbJarfr333/t9t29e/dK0m33e0m293bevHkztK7bvV8z21dG3Wo/LlWqlBITE++4rtDQUC1evFiJiYl2H66l995Kz8yZM9W4cWNNmjTJrv38+fO2Qc9SeXl56fnnn9fzzz+v5ORkPfPMM/rggw80YMAAu8vM03Pz+8wwDO3fv982MFnq+33Pnj16+OGH7ebds2fPHY8HGXW744aLi4uaNGmiJk2aaNSoURo+fLjeeecdLV269JY/h9DQUFmtVu3bt892RlG6PlDW+fPn70rdGVWqVCktWrRIdevWTfcDy9vx8vJSo0aNtHz5ch07dszu1qlb2bFjh/bu3aupU6faDSJ2pyeUmOFuH2dvNnPmTLVv316ffvqpre3y5csZflpCVjj6u/jGv6NultHjD5BduGQduVp6l7xdvXpV3333nTw9PR2+r+jxxx9XSkqKvvjiC7v2zz77TBaLRY899pik//vU+MZPiePj49P8Um3atKny5s2rsWPH2s2bOnLxjW58JJZ0/Yxy6dKl0zzSxpHlSpUqpd27d9s9rmTbtm23vBR0zpw5dveprl+/XuvWrbO9/vQ888wzcnV11ZAhQ9J8em4Yhq3OBx98UGFhYRo9enSaPwJuXC71OdIZ/UPBy8sr3Xkff/xxrV+/XmvWrLG1Xbx4URMmTFCJEiXuuK/cqt9bSW/fkNL/mWfVs88+K8Mw0j1zmNkzGK6urrJYLHZXTRw6dEhz5szJapl2EhISdO3aNbu2ihUrysXF5Y77emZERkbK19dXw4cP19WrV9NMv/nRPZLs3veGYeiLL75Q3rx51aRJk9uuq2DBgmrUqJG+/vprnThx4rbrutP7NTN9Zcat9uPnnntOa9as0fz589NMO3/+vO1n9fjjj+vatWt2j3ZMSUnR2LFjM7R+V1fXNPvkjBkz0twPf/P2cXNzU3h4uAzDSPfneLPUJ0Skmjlzpk6cOGE7dlWvXl0FCxbU+PHj7fa3v/76S//880+GRrnOiFsdv86ePZtm3ipVqkjSbff/xx9/XFLa48ioUaMkyWl1p46ynZWA9txzzyklJUXvv/9+mmnXrl27Y98DBw5USkqKXn755XQvXb95P0rvmGsYhu0xmveSu3Wcvd36b95+Y8eOderVcrfi6O/ikJAQValSRVOnTrU72bJw4cJ07zs/cOCA7dY4ILtxhhy5WteuXZWQkKAGDRqoSJEiOnnypKZPn67du3fr008/dfjy6JYtW6px48Z65513dOjQIVWuXFkLFizQr7/+qj59+tjOujVr1kxubm5q2bKlunbtqsTERE2cOFEFCxa0+yM69RmtqY+Eevzxx7Vlyxb99ddfac4KhYeHq1GjRqpWrZoCAgK0ceNGzZw5026gqfRkZLlOnTpp1KhRioyMVOfOnRUXF6fx48erQoUKtkF0blS6dGnVq1dP3bp105UrVzR69GgVKFDglpe1StdD/7BhwzRgwAAdOnRITz31lHx8fHTw4EHNnj1br776qqKjo+Xi4qJx48apZcuWqlKlijp27KiQkBDt3r1bO3futAWDatWqSZJ69+6tyMhIubq62g1kc7Nq1app3LhxGjZsmEqXLq2CBQvq4YcfVv/+/fXjjz/qscceU+/evRUQEKCpU6fq4MGDmjVr1h1vW6hWrZoWLVqkUaNGqXDhwgoLC7MbOOdmvr6+tsfpXL16VUWKFNGCBQt08ODB267HEY0bN1bbtm31+eefa9++fbZL4lesWKHGjRvfcd+5UfPmzTVq1Cg9+uijevHFFxUXF6cvv/xSpUuXzvKYBDdasmSJevbsqdatW+uBBx7QtWvXNG3aNLm6uurZZ5+1zTd48GANGTJES5cutXtmdkb5+vpq3Lhxatu2rR588EG98MILCgoKUmxsrP7880/VrVvXLoB7eHho3rx5at++vWrVqqW//vpLf/75p95+++3bXmKb6ssvv1S9evVUsWJFdenSRSVLltSpU6e0Zs0aHT161Pa87Yy8XzPaV2bc6v3x5ptv6rffflOLFi1sj8W6ePGiduzYoZkzZ+rQoUMKDAxUy5YtVbduXfXv31+HDh1SeHi4fvnllwxfjdSiRQsNHTpUHTt2VJ06dbRjxw5Nnz49zX37zZo1U3BwsOrWratChQrpn3/+0RdffKHmzZun+0zqmwUEBKhevXrq2LGjTp06pdGjR6t06dLq0qWLpOtXHnz00Ufq2LGjGjZsqDZt2tgee1aiRAn17ds309s2PanHr3feeUcvvPCC8ubNq5YtW2ro0KH6+++/1bx5c4WGhiouLk5fffWVihYtajfY1c0qV66s9u3ba8KECTp//rwaNmyo9evXa+rUqXrqqafUuHFjp9Sd+oH2zz//rAceeEABAQGKiIjI1JgfDRs2VNeuXTVixAht3bpVzZo1U968ebVv3z7NmDFDY8aMUatWrW65fP369fXFF1+oV69eKlOmjF566SWVK1dOycnJ2rt3r6ZPny43NzfbrSjlypVTqVKlFB0drWPHjsnX11ezZs3K8v3y2eFuHWdvpUWLFpo2bZr8/PwUHh6uNWvWaNGiRSpQoEC2rzsrv4tHjBih5s2bq169eurUqZPOnj2rsWPHqkKFCmk+tEn9APV2Y94ATpPt47gD97Aff/zRaNq0qVGoUCEjT548Rv78+Y2mTZsav/76a4aWb9++veHl5ZXutAsXLhh9+/Y1ChcubOTNm9coU6aMMXLkyDSPkfrtt9+MSpUqGR4eHkaJEiWMjz76yJg8eXKaR92kpKQYQ4YMMUJCQgxPT0+jUaNGRkxMjBEaGmr3OK1hw4YZNWvWNPz9/Q1PT0+jXLlyxgcffGAkJyff9rVkdLnvv//eKFmypOHm5mZUqVLFmD9//i0fezZy5Ejj008/NYoVK2a4u7sb9evXN7Zt22bXX3qPBDIMw5g1a5ZRr149w8vLy/Dy8jLKlStn9OjRw9izZ4/dfCtXrjQeeeQRw8fHx/Dy8jIqVapk99iga9euGb169TKCgoIMi8Vyx0egnTx50mjevLnh4+NjSLJ7DMuBAweMVq1aGf7+/oaHh4dRs2ZN448//rhtf6l2795tNGjQwPD09LR7VF3q60/v8UVHjx41nn76acPf39/w8/MzWrdubRw/fjzNI3Sy+tgzw7i+nUaOHGmUK1fOcHNzM4KCgozHHnvM2LRp021fV3p9TZo0yShTpozh7u5ulCtXzpgyZcotH/108yNtbtx3bnTza/z333+NTp06GaVKlTI8PDyMgIAAo3HjxsaiRYvslnvjjTcMi8Vi/PPPP7d9HbfaVjeuPzIy0vDz8zM8PDyMUqVKGR06dDA2btxoty28vLyMAwcOGM2aNTPy5ctnFCpUyBg0aJDdo7pu9RpTHThwwGjXrp0RHBxs5M2b1yhSpIjRokULY+bMmbZ5Mvp+zUhft3rtqdt86dKltrbbvT8uXLhgDBgwwChdurTh5uZmBAYGGnXq1DE++eQTu7rOnDljtG3b1vD19TX8/PyMtm3b2h5jl5HHnr3xxhu242DdunWNNWvWpHlk0tdff200aNDAKFCggOHu7m6UKlXKePPNN434+Pjb9p/6mn/88UdjwIABRsGCBQ1PT0+jefPmdo+9SvXzzz8bVatWNdzd3Y2AgADjpZdesnvUo2Hc+rFnN+/7hmGkOZ4bxvVHyhUpUsRwcXGx/V5YvHix8eSTTxqFCxc23NzcjMKFCxtt2rRJ89i59Fy9etUYMmSIERYWZuTNm9coVqyYMWDAALvH46XWkt6j9W71+MubrV692qhWrZrh5uZmd8y61e/NW/0umDBhglGtWjXD09PT8PHxMSpWrGi89dZbxvHjx+9Yg2Fcf0Riu3btjOLFixtubm623xNvvPGG3WPnDMMwdu3aZTRt2tTw9vY2AgMDjS5dutgeoXbjvnmr19CwYcN0H7d387a81XvuVr8P0ltfRo+z6clonalu3l/PnTtndOzY0QgMDDS8vb2NyMhIY/fu3Wn238wcWzL62DPDyNjv4vQee2YY1/+2KF++vOHu7m6Eh4cbv/zyS7q/x0JDQ3kUGu4ai2EwogIA87z33nsaMWJEmsuPcX9o27at1qxZo/3795tdSrpq1qyp0NBQzZgxI9vX1aFDB82cOTPdy2Nxf1i2bJkaN26sGTNm3PbsKwAAzsIl6wBMdeLEiTSX3eP+cS///BISErRt2zZNnTrV7FIAAADSRSAHYIp///1Xs2fP1owZM9SiRQuzy0Embd++XXPmzNHff/+tN9980+xy0uXr6+vUAd4AAACcjUAOwBR///23hgwZokaNGtlG+MX945dfftHYsWP1wgsvaMCAAWaXAwAAcF+6p+4hTx0N90Zly5a1PVsQAAAAAICc4p47Q16hQgUtWrTI9n2ePPdciQAAAAAAZNk9l3bz5MljeyYkAAAAAAA51T0XyPft26fChQvLw8NDtWvX1ogRI1S8ePF0571y5YrdgD1Wq1Vnz55VgQIFZLFY7lbJAAAAAIBcyjAMXbhwQYULF5aLi0umlr2n7iH/66+/lJiYqLJly+rEiRMaMmSIjh07ppiYGPn4+KSZP717zgEAAAAAuNuOHDmiokWLZmqZeyqQ3+z8+fMKDQ3VqFGj1Llz5zTTbz5DHh8fr+LFi+vIkSPy9fW9m6UCAAAAAHKhhIQEFStWTOfPn5efn1+mlr3nLlm/kb+/vx544AHt378/3enu7u5yd3dP0+7r60sgBwAAAADcNY7cNp25C9zvssTERB04cEAhISFmlwIAAAAAgFPdU4E8Ojpay5cv16FDh7R69Wo9/fTTcnV1VZs2bcwuDQAAAAAAp7qnLlk/evSo2rRpozNnzigoKEj16tXT2rVrFRQUZHZpAAAAAAA41T0VyH/66SezSwAAAACA+45hGLp27ZpSUlLMLiXHcXV1VZ48ebLl0dr3VCAHAAAAAGROcnKyTpw4oaSkJLNLybHy5cunkJAQubm5ObVfAjkAAAAA3KesVqsOHjwoV1dXFS5cWG5ubtlyJje3MgxDycnJOn36tA4ePKgyZcrIxcV5Q7ERyAEAAADgPpWcnCyr1apixYopX758ZpeTI3l6eipv3rw6fPiwkpOT5eHh4bS+76lR1gEAAAAAmefMs7ZIK7u2Lz81AAAAAABMQCAHAAAAAMAEBHIAAAAAQI516NAhWSwWbd261exS0iCQAwAAAAByld69e6tatWpyd3dXlSpVTKuDUdYBAAAAIJdLsRpaf/Cs4i5cVkEfD9UMC5Cry919fFpycrLTn/N9O506ddK6deu0ffv2u7bOm3GGHAAAAABysXkxJ1TvoyVqM3GtXv9pq9pMXKt6Hy3RvJgT2breRo0aqWfPnurTp48CAwMVGRmp5cuXq2bNmnJ3d1dISIj69++va9eu/V+t8+apXr168vf3V4ECBdSiRQsdOHDArt/169eratWq8vDwUPXq1bVly5Y06/7888/Vo0cPlSxZMltf450QyAEAAAAgl5oXc0Ldvt+sE/GX7dpPxl9Wt+83Z3sonzp1qtzc3LRq1SoNHjxYjz/+uGrUqKFt27Zp3LhxmjRpkoYNG2ab/+LFi4qKitLGjRu1ePFiubi46Omnn5bVapUkJSYmqkWLFgoPD9emTZs0ePBgRUdHZ+tryAouWQcAAACAXCjFamjI77tkpDPNkGSRNOT3XXokPDjbLl8vU6aMPv74Y0nSd999p2LFiumLL76QxWJRuXLldPz4cfXr108DBw6Ui4uLnn32WbvlJ0+erKCgIO3atUsRERH64YcfZLVaNWnSJHl4eKhChQo6evSounXrli31ZxVnyAEAAAAgF1p/8GyaM+M3MiSdiL+s9QfPZlsN1apVs/3/n3/+Ue3atWWx/F/4r1u3rhITE3X06FFJ0r59+9SmTRuVLFlSvr6+KlGihCQpNjbW1kelSpXk4eFh66N27drZVn9WcYYcAAAAAHKhuAu3DuOOzOcILy+vTM3fsmVLhYaGauLEiSpcuLCsVqsiIiKUnJycTRVmL86QAwAAAEAuVNDH484zZWK+rCpfvrzWrFkjw/i/i+hXrVolHx8fFS1aVGfOnNGePXv07rvvqkmTJipfvrzOnTuXpo/t27fr8uX/+xBh7dq1d6V+RxDIAQAAACAXqhkWoBA/D93q7nCLpBC/649Auxu6d++uI0eOqFevXtq9e7d+/fVXDRo0SFFRUXJxcVH+/PlVoEABTZgwQfv379eSJUsUFRVl18eLL74oi8WiLl26aNeuXZo7d64++eSTNOvav3+/tm7dqpMnT+rSpUvaunWrtm7detfPtBPIAQAAACAXcnWxaFDLcElKE8pTvx/UMvyuPY+8SJEimjt3rtavX6/KlSvrtddeU+fOnfXuu+9KklxcXPTTTz9p06ZNioiIUN++fTVy5Ei7Pry9vfX7779rx44dqlq1qt555x199NFHadb1yiuvqGrVqvr666+1d+9eVa1aVVWrVtXx48fvymtNZTFuvB7gPpeQkCA/Pz/Fx8fL19fX7HIAAAAAIFtdvnxZBw8eVFhYmN1AZpkxL+aEhvy+y26AtxA/Dw1qGa5HI0KcVep97XbbOSs5lEHdAAAAACAXezQiRI+EB2v9wbOKu3BZBX2uX6Z+t86M52YEcgAAAADI5VxdLKpdqoDZZeQ63EMOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAgBzr0KFDslgs2rp1q9mlpEEgBwAAAADkGtu2bVObNm1UrFgxeXp6qnz58hozZowpteQxZa0AAAAAgHuHNUU6vFpKPCV5F5JC60gurne1hOTkZLm5uWX7ejZt2qSCBQvq+++/V7FixbR69Wq9+uqrcnV1Vc+ePbN9/TfiDDkAAAAA5Ga7fpNGR0hTW0izOl//d3TE9fZs1KhRI/Xs2VN9+vRRYGCgIiMjtXz5ctWsWVPu7u4KCQlR//79de3aNdsy8+bNU7169eTv768CBQqoRYsWOnDggF2/69evV9WqVeXh4aHq1atry5YtdtM7deqkMWPGqGHDhipZsqRefvlldezYUb/88ku2vt70EMgBAAAAILfa9Zv0v3ZSwnH79oQT19uzOZRPnTpVbm5uWrVqlQYPHqzHH39cNWrU0LZt2zRu3DhNmjRJw4YNs81/8eJFRUVFaePGjVq8eLFcXFz09NNPy2q1SpISExPVokULhYeHa9OmTRo8eLCio6PvWEd8fLwCAgKy7XXeCpesAwAAAEBuZE2R5vWTZKQz0ZBkkeb1l8o1z7bL18uUKaOPP/5YkvTdd9+pWLFi+uKLL2SxWFSuXDkdP35c/fr108CBA+Xi4qJnn33WbvnJkycrKChIu3btUkREhH744QdZrVZNmjRJHh4eqlChgo4ePapu3brdsobVq1fr559/1p9//pktr/F2OEMOAAAAALnR4dVpz4zbMaSEY9fnyybVqlWz/f+ff/5R7dq1ZbFYbG1169ZVYmKijh49Kknat2+f2rRpo5IlS8rX11clSpSQJMXGxtr6qFSpkjw8PGx91K5d+5brj4mJ0ZNPPqlBgwapWbNmznxpGcIZcgAAAADIjRJPOXc+B3h5eWVq/pYtWyo0NFQTJ05U4cKFZbVaFRERoeTk5Eyve9euXWrSpIleffVVvfvuu5le3hk4Qw4AAAAAuZF3IefOl0Xly5fXmjVrZBj/dwn9qlWr5OPjo6JFi+rMmTPas2eP3n33XTVp0kTly5fXuXPn0vSxfft2Xb582da2du3aNOvauXOnGjdurPbt2+uDDz7Ivhd1BwRyAAAAAMiNQutIvoUlWW4xg0XyLXJ9vruge/fuOnLkiHr16qXdu3fr119/1aBBgxQVFSUXFxflz59fBQoU0IQJE7R//34tWbJEUVFRdn28+OKLslgs6tKli3bt2qW5c+fqk08+sZsnJiZGjRs3VrNmzRQVFaWTJ0/q5MmTOn369F15nTcikAMAAABAbuTiKj360f//5uZQ/v+/f/TDu/Y88iJFimju3Llav369KleurNdee02dO3e2XU7u4uKin376SZs2bVJERIT69u2rkSNH2vXh7e2t33//XTt27FDVqlX1zjvv6KOPPrKbZ+bMmTp9+rS+//57hYSE2L5q1KhxV17njSzGjdcD3OcSEhLk5+en+Ph4+fr6ml0OAAAAAGSry5cv6+DBgwoLC7MbyCxTdv12fbT1Gwd48y1yPYyHP+GcQu9zt9vOWcmhDOoGAAAAALlZ+BPXH212ePX1Ady8C12/TP0unRnPzQjkAAAAAJDbubhKYfXNriLX4R5yAAAAAABMQCAHAAAAAMAEBHIAAAAAAExAIAcAAAAAwAQEcgAAAAAATEAgBwAAAADABARyAAAAAABMQCAHAAAAAORYhw4dksVi0datW80uJQ0COQAAAADkcinWFG04uUFz/52rDSc3KMWaYnZJ2ebMmTN69NFHVbhwYbm7u6tYsWLq2bOnEhIS7notee76GgEAAAAA94xFhxfpw/Uf6lTSKVtboXyF1L9mfzUNbXrX6khOTpabm1u2r8fFxUVPPvmkhg0bpqCgIO3fv189evTQ2bNn9cMPP2T7+u1quatrAwAAAADcMxYdXqSoZVF2YVyS4pLiFLUsSosOL8q2dTdq1Eg9e/ZUnz59FBgYqMjISC1fvlw1a9aUu7u7QkJC1L9/f127ds22zLx581SvXj35+/urQIECatGihQ4cOGDX7/r161W1alV5eHioevXq2rJli930/Pnzq1u3bqpevbpCQ0PVpEkTde/eXStWrMi213orBHIAAAAAyIVSrCn6cP2HMmSkmZba9tH6j7L18vWpU6fKzc1Nq1at0uDBg/X444+rRo0a2rZtm8aNG6dJkyZp2LBhtvkvXryoqKgobdy4UYsXL5aLi4uefvppWa1WSVJiYqJatGih8PBwbdq0SYMHD1Z0dPRtazh+/Lh++eUXNWzYMNte561wyToAAAAA5EKb4zanOTN+I0OGTiad1Oa4zaoRXCNbaihTpow+/vhjSdJ3332nYsWK6YsvvpDFYlG5cuV0/Phx9evXTwMHDpSLi4ueffZZu+UnT56soKAg7dq1SxEREfrhhx9ktVo1adIkeXh4qEKFCjp69Ki6deuWZt1t2rTRr7/+qkuXLqlly5b65ptvsuU13g5nyAEAAAAgFzqddNqp8zmiWrVqtv//888/ql27tiwWi62tbt26SkxM1NGjRyVJ+/btU5s2bVSyZEn5+vqqRIkSkqTY2FhbH5UqVZKHh4etj9q1a6e77s8++0ybN2/Wr7/+qgMHDigqKsrZL++OOEMOAAAAALlQUL4gp87nCC8vr0zN37JlS4WGhmrixIkqXLiwrFarIiIilJycnOl1BwcHKzg4WOXKlVNAQIDq16+v9957TyEhIZnuy1GcIQcAAACAXOjBgg+qUL5CssiS7nSLLArOF6wHCz54V+opX7681qxZI8P4v3vaV61aJR8fHxUtWlRnzpzRnj179O6776pJkyYqX768zp07l6aP7du36/Lly7a2tWvX3nHdqfegX7lyxUmvJmMI5AAAAACQC7m6uKp/zf6SlCaUp37fr2Y/ubq43pV6unfvriNHjqhXr17avXu3fv31Vw0aNEhRUVFycXFR/vz5VaBAAU2YMEH79+/XkiVL0lxm/uKLL8pisahLly7atWuX5s6dq08++cRunrlz52rKlCmKiYnRoUOH9Oeff+q1115T3bp1bZfA3y0EcgAAAADIpZqGNtWoRqNUMF9Bu/ZC+QppVKNRd/U55EWKFNHcuXO1fv16Va5cWa+99po6d+6sd999V9L154f/9NNP2rRpkyIiItS3b1+NHDnSrg9vb2/9/vvv2rFjh6pWrap33nlHH330kd08np6emjhxourVq6fy5curb9++euKJJ/THH3/ctdeaymLceD3AfS4hIUF+fn6Kj4+Xr6+v2eUAAAAAQLa6fPmyDh48qLCwMLuBzDIrxZqizXGbdTrptILyBenBgg/etTPj94Pbbees5FAGdQMAAACAXM7VxTXbHm2GW+OSdQAAAAAATEAgBwAAAADABARyAAAAAABMQCAHAAAAgPtcDhqr+56UXduXQA4AAAAA96m8efNKkpKSkkyuJGdL3b6p29tZGGUdAAAAAO5Trq6u8vf3V1xcnCQpX758slgsJleVcxiGoaSkJMXFxcnf31+urs59FByBHAAAAADuY8HBwZJkC+VwPn9/f9t2diYCOQAAAADcxywWi0JCQlSwYEFdvXrV7HJynLx58zr9zHgqAjkAAAAA5ACurq7ZFhyRPRjUDQAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMME9G8g//PBDWSwW9enTx+xSAAAAAABwunsykG/YsEFff/21KlWqZHYpAAAAAABki3sukCcmJuqll17SxIkTlT9/frPLAQAAAAAgW9xzgbxHjx5q3ry5mjZtesd5r1y5ooSEBLsvAAAAAADuB3nMLuBGP/30kzZv3qwNGzZkaP4RI0ZoyJAh2VwVAAAAAADOd8+cIT9y5Ihef/11TZ8+XR4eHhlaZsCAAYqPj7d9HTlyJJurBAAAAADAOSyGYRhmFyFJc+bM0dNPPy1XV1dbW0pKiiwWi1xcXHTlyhW7aelJSEiQn5+f4uPj5evrm90lAwAAAAByuazk0HvmkvUmTZpox44ddm0dO3ZUuXLl1K9fvzuGcQAAAAAA7if3TCD38fFRRESEXZuXl5cKFCiQph0AAAAAgPvdPXMPOQAAAAAAuck9c4Y8PcuWLTO7BAAAAAAAsgVnyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADBBnqwsfPXqVZ08eVJJSUkKCgpSQECAs+oCAAAAACBHy/QZ8gsXLmjcuHFq2LChfH19VaJECZUvX15BQUEKDQ1Vly5dtGHDhuyoFQAAAACAHCNTgXzUqFEqUaKEpkyZoqZNm2rOnDnaunWr9u7dqzVr1mjQoEG6du2amjVrpkcffVT79u3LrroBAAAAALivWQzDMDI6c5s2bfTuu++qQoUKt53v8uXL+vbbb+Xm5qZOnTpluciMSkhIkJ+fn+Lj4+Xr63vX1gsAAAAAyJ2ykkMzFcjvdQRyAAAAAMDdlJUc6vAo6yNGjNDkyZPTtE+ePFkfffSRo90CAAAAAJArOBzIv/76a5UrVy5Ne4UKFTR+/PgsFQUAAAAAQE7ncCA/efKkQkJC0rQHBQXpxIkTWSoKAAAAAICczuFAXqxYMa1atSpN+6pVq1S4cOEsFQUAAAAAQE6Xx9EFu3Tpoj59+ujq1at6+OGHJUmLFy/WW2+9pTfeeMNpBQIAAAAAkBM5HMjffPNNnTlzRt27d1dycrIkycPDQ/369dOAAQOcViAAAAAAADlRlh97lpiYqH/++Ueenp4qU6aM3N3dnVVbpvHYMwAAAADA3ZSVHOrwGfJU3t7eqlGjRla7AQAAAAAgV8lUII+KitL7778vLy8vRUVF3XbeUaNGZakwAAAAAAByskwF8i1btujq1auSpM2bN8tisaQ7363aAQAAAADAdZkK5GPGjLFdE79s2bLsqAcAAAAAgFwhU88hr1q1qv777z9JUsmSJXXmzJlsKQoAAAAAgJwuU4Hc399fBw8elCQdOnRIVqs1W4oCAAAAACCny9Ql688++6waNmyokJAQWSwWVa9eXa6urunO+++//zqlQAAAAAAAcqJMBfIJEybomWee0f79+9W7d2916dJFPj4+2VUbAAAAAAA5VqYC+fbt29WsWTM9+uij2rRpk15//XUCOQAAAAAADnB4ULfly5crOTk5W4oCAAAAACCnY1A3AAAAAABMwKBuAAAAAACYgEHdAAAAAAAwQaYCuSQ9+uijksSgbgAAAAAAZEGmA3mqKVOmSJJ27dql2NjYNAO8PfHEE1mrDAAAAACAHMzhQH7w4EE99dRT2rFjhywWiwzDkCRZLBZJUkpKinMqBAAAAAAgB8rUKOs36t27t8LCwhQXF6d8+fJp586d+vvvv1W9enUtW7bMiSUCAAAAAJDzOHyGfM2aNVqyZIkCAwPl4uIiFxcX1atXTyNGjFDv3r21ZcsWZ9YJAAAAAECO4vAZ8pSUFNuAboGBgTp+/LgkKTQ0VHv27HFOdQAAAAAA5FAOnyGPiIjQtm3bFBYWplq1aunjjz+Wm5ubJkyYoJIlSzqzRgAAAAAAchyHA/m7776rixcvSpKGDh2qFi1aqH79+ipQoIB+/vlnpxUIAAAAAEBOZDFSh0d3grNnzyp//vy2kdbvtoSEBPn5+Sk+Pl6+vr6m1AAAAAAAyD2ykkMduof86tWratKkifbt22fXHhAQYFoYBwAAAADgfuJQIM+bN6+2b9/u7FoAAAAAAMg1HB5l/eWXX9akSZOcWQsAAAAAALmGw4O6Xbt2TZMnT9aiRYtUrVo1eXl52U0fNWpUlosDAAAAACCncjiQx8TE6MEHH5Qk7d27124a95EDAAAAAHB7DgfypUuXOrMOAAAAAAByFYfvIY+NjdWtnpgWGxvrcEEAAAAAAOQGDgfysLAwnT59Ok37mTNnFBYWlqWiAAAAAADI6RwO5IZhpHuveGJiojw8PLJUFAAAAAAAOV2m7yGPioqSdH3gtvfee0/58uWzTUtJSdG6detUpUoVpxUIAAAAAEBOlOlAvmXLFknXz5Dv2LFDbm5utmlubm6qXLmyoqOjnVchAAAAAAA5UKYDeero6h07dtSYMWPk6+vr9KIAAAAAAMjpHH7s2ZQpU5xZBwAAAAAAuYrDg7plh3HjxqlSpUry9fWVr6+vateurb/++svssgAAAAAAcLp7KpAXLVpUH374oTZt2qSNGzfq4Ycf1pNPPqmdO3eaXRoAAAAAAE5lMQzDMLuI2wkICNDIkSPVuXPnO86bkJAgPz8/xcfHc287AAAAACDbZSWHOnwPeXZLSUnRjBkzdPHiRdWuXTvdea5cuaIrV67Yvk9ISLhb5QEAAAAAkCVZCuSLFy/W4sWLFRcXJ6vVajdt8uTJDvW5Y8cO1a5dW5cvX5a3t7dmz56t8PDwdOcdMWKEhgwZ4tB6AAAAAAAwk8OXrA8ZMkRDhw5V9erVFRISIovFYjd99uzZDhWUnJys2NhYxcfHa+bMmfrmm2+0fPnydEN5emfIixUrxiXrAAAAAIC7IiuXrDscyENCQvTxxx+rbdu2jiyeYU2bNlWpUqX09ddf33Fe7iEHAAAAANxNWcmhDo+ynpycrDp16ji6eIZZrVa7s+AAAAAAAOQEDgfyV155RT/88IMza9GAAQP0999/69ChQ9qxY4cGDBigZcuW6aWXXnLqegAAAAAAMJvDg7pdvnxZEyZM0KJFi1SpUiXlzZvXbvqoUaMy3WdcXJzatWunEydOyM/PT5UqVdL8+fP1yCOPOFomAAAAAAD3JIcD+fbt21WlShVJUkxMjN20mwd4y6hJkyY5Wg4AAAAAAPcVhwP50qVLnVkHAAAAAAC5isP3kAMAAAAAAMdl6gx5VFSU3n//fXl5eSkqKuq28zpyDzkAAAAAALlFpgL5li1bdPXqVdv/b8XRe8gBAAAAAMgtLIZhGGYX4SxZeSA7AAAAAACZlZUcyj3kAAAAAACYgEAOAAAAAIAJCOQAAAAAAJjA4UAeGxur9G4/NwxDsbGxWSoKAAAAAICczuFAHhYWptOnT6dpP3v2rMLCwrJUFAAAAAAAOZ3DgdwwjHQfb5aYmCgPD48sFQUAAAAAQE6XqeeQS1JUVJSk688af++995QvXz7btJSUFK1bt05VqlRxWoEAAAAAAOREmQ7kW7ZskXT9DPmOHTvk5uZmm+bm5qbKlSsrOjraeRUCAAAAAJADZTqQL126VJLUsWNHjRkzJtMPPgcAAAAAAA4E8lRTpkxxZh0AAAAAAOQqDgdySVq8eLEWL16suLg4Wa1Wu2mTJ0/OUmEAAAAAAORkDgfyIUOGaOjQoapevbpCQkLSHXEdAAAAAACkz+FAPn78eH377bdq27atM+sBAAAAACBXcPg55MnJyapTp44zawEAAAAAINdwOJC/8sor+uGHH5xZCwAAAAAAuYbDl6xfvnxZEyZM0KJFi1SpUiXlzZvXbvqoUaOyXBwAAAAAADmVw4F8+/btqlKliiQpJibGbhoDvAEAAAAAcHsOB/KlS5c6sw4AAAAAAHIVh+8hBwAAAAAAjstSIF+xYoVefvll1a5dW8eOHZMkTZs2TStXrnRKcQAAAAAA5FQOB/JZs2YpMjJSnp6e2rJli65cuSJJio+P1/Dhw51WIAAAAAAAOZHDgXzYsGEaP368Jk6caDfCet26dbV582anFAcAAAAAQE7lcCDfs2ePGjRokKbdz89P58+fz0pNAAAAAADkeA4H8uDgYO3fvz9N+8qVK1WyZMksFQUAAAAAQE7ncCDv0qWLXn/9da1bt04Wi0XHjx/X9OnTFR0drW7dujmzRgAAAAAAchyHn0Pev39/Wa1WNWnSRElJSWrQoIHc3d0VHR2tXr16ObNGAAAAAAByHIthGEZWOkhOTtb+/fuVmJio8PBweXt7O6u2TEtISJCfn5/i4+Pl6+trWh0AAAAAgNwhKznU4TPkqdzc3FS+fHlJksViyWp3AAAAAADkCg7fQy5JkyZNUkREhDw8POTh4aGIiAh98803zqoNAAAAAIAcy+Ez5AMHDtSoUaPUq1cv1a5dW5K0Zs0a9e3bV7GxsRo6dKjTigQAAAAAIKdx+B7yoKAgff7552rTpo1d+48//qhevXrpv//+c0qBmcE95AAAAACAuykrOdThS9avXr2q6tWrp2mvVq2arl275mi3AAAAAADkCg4H8rZt22rcuHFp2idMmKCXXnopS0UBAAAAAJDTZWmU9UmTJmnBggV66KGHJEnr1q1TbGys2rVrp6ioKNt8o0aNylqVAAAAAADkMA4H8piYGD344IOSpAMHDkiSAgMDFRgYqJiYGNt8PAoNAAAAAIC0HA7kS5cudWYdAAAAAADkKg7fQ37p0iUlJSXZvj98+LBGjx6tBQsWOKUwAAAAAAByMocD+ZNPPqnvvvtOknT+/HnVrFlTn376qZ588sl0B3sDAAAAAAD/x+FAvnnzZtWvX1+SNHPmTAUHB+vw4cP67rvv9PnnnzutQAAAAAAAciKHA3lSUpJ8fHwkSQsWLNAzzzwjFxcXPfTQQzp8+LDTCgQAAAAAICdyOJCXLl1ac+bM0ZEjRzR//nw1a9ZMkhQXFydfX1+nFQgAAAAAQE7kcCAfOHCgoqOjVaJECdWqVUu1a9eWdP1sedWqVZ1WIAAAAAAAOZHFMAzD0YVPnjypEydOqHLlynJxuZ7t169fL19fX5UrV85pRWZUQkKC/Pz8FB8fz1l6AAAAAEC2y0oOdfg55JIUHBys4OBgu7aaNWtmpUsAAAAAAHIFhy9ZBwAAAAAAjiOQAwAAAABgAgI5AAAAAAAmIJADAAAAAGCCLAXyFStW6OWXX1bt2rV17NgxSdK0adO0cuVKpxQHAAAAAEBO5XAgnzVrliIjI+Xp6aktW7boypUrkqT4+HgNHz7caQUCAAAAAJATORzIhw0bpvHjx2vixInKmzevrb1u3bravHmzU4oDAAAAACCncjiQ79mzRw0aNEjT7ufnp/Pnz2elJgAAAAAAcjyHA3lwcLD279+fpn3lypUqWbJklooCAAAAACCncziQd+nSRa+//rrWrVsni8Wi48ePa/r06YqOjla3bt2cWSMAAAAAADlOHkcX7N+/v6xWq5o0aaKkpCQ1aNBA7u7uio6OVq9evZxZIwAAAAAAOY7FMAwjKx0kJydr//79SkxMVHh4uLy9vZ1VW6YlJCTIz89P8fHx8vX1Na0OAAAAAEDukJUc6vAZckm6fPmytm/frri4OFmtVp08edI27YknnshK1wAAAAAA5GgOB/J58+apbdu2OnPmTJppFotFKSkpWSoMAAAAAICczOFB3Xr16qXnnntOJ06ckNVqtfsijAMAAAAAcHsOB/JTp04pKipKhQoVcmY9AAAAAADkCg4H8latWmnZsmVOLAUAAAAAgNzD4VHWk5KS1Lp1awUFBalixYrKmzev3fTevXs7pcDMYJR1AAAAAMDdZMoo6z/++KMWLFggDw8PLVu2TBaLxTbNYrGYEsgBAAAAALhfOBzI33nnHQ0ZMkT9+/eXi4vDV74DAAAAAJArOZykk5OT9fzzzxPGAQAAAABwgMNpun379vr555+dWQsAAAAAALmGw5esp6Sk6OOPP9b8+fNVqVKlNIO6jRo1KsvFAQAAAACQUzkcyHfs2KGqVatKkmJiYuym3TjAGwAAAAAASMvhQL506VJn1gEAAAAAQK7CiGwAAAAAAJggU2fIo6Ki9P7778vLy0tRUVG3nZd7yAEAAAAAuLVMBfItW7bo6tWrtv/fCveQAwAAAABwexbDMAyzi3CWhIQE+fn5KT4+Xr6+vmaXAwAAAADI4bKSQx2+hzw2Nla3yvKxsbGOdgsAAAAAQK7gcCAPCwvT6dOn07SfOXNGYWFhWSoKAAAAAICczuFAbhhGuveKJyYmysPDI0tFAQAAAACQ02X6OeSpo6tbLBa99957ypcvn21aSkqK1q1bpypVqjitQAAAAAAAcqJMB/LU0dUNw9COHTvk5uZmm+bm5qbKlSsrOjraeRUCAAAAAJADZTqQL126VJLUsWNHjRkzhtHMAQAAAABwQKYDeaopU6Y4sw4AAAAAAHIVhwd1AwAAAAAAjiOQAwAAAABgAgI5AAAAAAAmIJADAAAAAGCCTA3qlvoM8owYNWpUposBAAAAACC3yFQgT30GearNmzfr2rVrKlu2rCRp7969cnV1VbVq1ZxXIQAAAAAAOVCmAnnqM8il62fAfXx8NHXqVOXPn1+SdO7cOXXs2FH169d3bpUAAAAAAOQwFsMwDEcWLFKkiBYsWKAKFSrYtcfExKhZs2Y6fvy4UwrMjISEBPn5+Sk+Pl6+vr53ff0AAAAAgNwlKznU4UHdEhISdPr06TTtp0+f1oULFxztFgAAAACAXMHhQP7000+rY8eO+uWXX3T06FEdPXpUs2bNUufOnfXMM884s0YAAAAAAHKcTN1DfqPx48crOjpaL774oq5evXq9szx51LlzZ40cOdJpBQIAAAAAkBM5fA95qosXL+rAgQOSpFKlSsnLy8sphTmCe8gBAAAAAHeTKfeQS9KKFSvUtWtXvfbaaypQoIC8vLw0bdo0rVy5MivdAgAAAACQ4zkcyGfNmqXIyEh5enpq8+bNunLliiQpPj5ew4cPd1qBAAAAAADkRA4H8mHDhmn8+PGaOHGi8ubNa2uvW7euNm/e7JTiAAAAAADIqRwO5Hv27FGDBg3StPv5+en8+fNZqQkAAAAAgBzP4UAeHBys/fv3p2lfuXKlSpYsmaWiAAAAAADI6RwO5F26dNHrr7+udevWyWKx6Pjx45o+fbqio6PVrVs3Z9YIAAAAAECO4/BzyPv37y+r1aomTZooKSlJDRo0kLu7u6Kjo9WrVy9n1ggAAAAAQI6T5eeQJycna//+/UpMTFR4eLi8vb2dVVum8RxyAAAAAMDdlJUc6vAZ8tjYWBUrVkxubm4KDw9PM6148eKOdg0AAAAAQI7n8D3kYWFhOn36dJr2M2fOKCwsLEtFAQAAAACQ0zkcyA3DkMViSdOemJgoDw+PLBUFAAAAAEBOl+lL1qOioiRJFotF7733nvLly2eblpKSonXr1qlKlSpOKxAAAAAAgJwo04F8y5Ytkq6fId+xY4fc3Nxs09zc3FS5cmVFR0c7r0IAAAAAAHKgTAfypUuXSpI6duyozz//XD4+Pk4vCgAAAACAnM7he8jLlCmjGTNmpGmfPHmyPvrooywVBSB9KdYUbTi5QXP/nasNJzcoxZpidkkAAAAAHORwIJ8wYYLKlSuXpr1ChQoaP368Q32OGDFCNWrUkI+PjwoWLKinnnpKe/bscbREIEdZdHiRImdFqtP8Tuq3op86ze+kyFmRWnR4kdmlAQAAAHCAw4H85MmTCgkJSdMeFBSkEydOONTn8uXL1aNHD61du1YLFy7U1atX1axZM128eNHRMoEcYdHhRYpaFqVTSafs2uOS4hS1LIpQDgAAANyHMn0PeapixYpp1apVaZ45vmrVKhUuXNihPufNm2f3/bfffquCBQtq06ZNatCggaOlAve1FGuKPlz/oQwZaaYZMmSRRR+t/0iNizWWq4urCRUCAAAAcITDgbxLly7q06ePrl69qocffliStHjxYr311lt64403nFJcfHy8JCkgICDd6VeuXNGVK1ds3yckJDhlvcC9ZHPc5jRnxm9kyNDJpJPaHLdZNYJr3MXKAAAAAGSFw4H8zTff1JkzZ9S9e3clJydLkjw8PNSvXz8NGDAgy4VZrVb16dNHdevWVURERLrzjBgxQkOGDMnyuoB72emk006dDwAAAMC9wWIYRtrrYDMhMTFR//zzjzw9PVWmTBm5u7s7pbBu3brpr7/+0sqVK1W0aNF050nvDHmxYsUUHx8vX19fp9QBmG3DyQ3qNL/THeebHDmZM+QAAADAXZaQkCA/Pz+HcqjDZ8hTeXt7q0YN54aAnj176o8//tDff/99yzAuSe7u7k77AAC4Vz1Y8EEVyldIcUlx6d5HbpFFhfIV0oMFHzShOgAAAACOcniUdUlasWKFXn75ZdWpU0fHjh2TJE2bNk0rV650qD/DMNSzZ0/Nnj1bS5YsSTNgHJAbubq4qn/N/pKuh+8bpX7fr2Y/BnQDAAAA7jMOB/JZs2YpMjJSnp6e2rx5s+3S8fj4eA0fPtyhPnv06KHvv/9eP/zwg3x8fHTy5EmdPHlSly5dcrRMIEdoGtpUoxqNUsF8Be3aC+UrpFGNRqlpaFOTKgMAAADgKIfvIa9atar69u2rdu3aycfHR9u2bVPJkiW1ZcsWPfbYYzp58mTmi7FY0m2fMmWKOnTocMfls3LtPnA/SLGmaHPcZp1OOq2gfEF6sOCDnBkHAAAATGTKPeR79uxJ99ngfn5+On/+vEN9ZnF8OSDHc3VxZeA2AAAAIIdw+JL14OBg7d+/P037ypUrVbJkySwVBQAAAABATudwIO/SpYtef/11rVu3ThaLRcePH9f06dMVHR2tbt26ObNGAAAAAAByHIcvWe/fv7+sVquaNGmipKQkNWjQQO7u7oqOjlavXr2cWSMAAAAAADmOw4O6pUpOTtb+/fuVmJio8PBweXt7O6u2TGNQNwAAAADA3WTKoG6p3NzcVL58eUm3HiUdAAAAAADYc/geckmaNGmSIiIi5OHhIQ8PD0VEROibb75xVm0AAAAAAORYDp8hHzhwoEaNGqVevXqpdu3akqQ1a9aob9++io2N1dChQ51WJAAAAAAAOY3D95AHBQXp888/V5s2bezaf/zxR/Xq1Uv//fefUwrMDO4hBwAAAADcTVnJoQ5fsn716lVVr149TXu1atV07do1R7sFAAAAACBXcDiQt23bVuPGjUvTPmHCBL300ktZKgoAAAAAgJwuS6OsT5o0SQsWLNBDDz0kSVq3bp1iY2PVrl07RUVF2eYbNWpU1qoEAAAAACCHcTiQx8TE6MEHH5QkHThwQJIUGBiowMBAxcTE2ObjUWgAAAAAAKTlcCBfunSpM+sAAAAAACBXcfge8tsF8q+//trRbgEAAAAAyBUcDuSPPvqo3nzzTV29etXW9t9//6lly5bq37+/U4oDAAAAACCnytIZ8tmzZ6tGjRratWuX/vzzT0VERCghIUFbt251YokAAAAAAOQ8DgfyOnXqaOvWrYqIiNCDDz6op59+Wn379tWyZcsUGhrqzBoBAAAAAMhxHA7kkrR3715t3LhRRYsWVZ48ebRnzx4lJSU5qzYAAAAAAHIshwP5hx9+qNq1a+uRRx5RTEyM1q9fry1btqhSpUpas2aNM2sEAAAAACDHcTiQjxkzRnPmzNHYsWPl4eGhiIgIrV+/Xs8884waNWrkxBIBAAAAAMh5HH4O+Y4dOxQYGGjXljdvXo0cOVItWrTIcmEAAAAAAORkDp8hDwwM1IoVK/Tyyy+rdu3aOnbsmCRp2rRpcnV1dVqBAAAAAADkRA4H8lmzZikyMlKenp7asmWLrly5IkmKj4/X8OHDnVYgAAAAAAA5kcOBfNiwYRo/frwmTpyovHnz2trr1q2rzZs3O6U4AAAAAAByKocD+Z49e9SgQYM07X5+fjp//nxWagIAAAAAIMdzOJAHBwdr//79adpXrlypkiVLZqkoAAAAAAByOocDeZcuXfT6669r3bp1slgsOn78uKZPn67o6Gh169bNmTUCAAAAAJDjOPzYs/79+8tqtapJkyZKSkpSgwYN5O7urujoaPXq1cuZNQIAAAAAkONYDMMwstJBcnKy9u/fr8TERIWHh8vb29tZtWVaQkKC/Pz8FB8fL19fX9PqAAAAAADkDlnJoQ6fIU/l5uam8PDwrHYDAAAAAECukql7yGNjYzPV+bFjxzI1PwAAAAAAuUWmAnmNGjXUtWtXbdiw4ZbzxMfHa+LEiYqIiNCsWbOyXCAAAAAAADlRpi5Z37Vrlz744AM98sgj8vDwULVq1VS4cGF5eHjo3Llz2rVrl3bu3KkHH3xQH3/8sR5//PHsqhsAAAAAgPuaQ4O6Xbp0SX/++adWrlypw4cP69KlSwoMDFTVqlUVGRmpiIiI7Kj1jhjUDQAAAABwN2Ulh2Z5lPV7CYEcAAAAAHA3ZSWHZuoecgAAAAAA4BwEcgAAAAAATEAgBwAAAADABA4H8nfeeUdJSUnOrAUAAAAAgFzD4UC+ePFilSlTRt9++60TywEAAAAAIHdwOJCvXbtWH330kQYOHKhq1appxYoVzqwLAAAAAIAcLUv3kL/88svas2ePWrZsqccee0zPPvus/v33X2fVBgAAAABAjpXlQd08PT01ePBg7dmzR/ny5VNERIT69eunmJgYpaSkOKNGAAAAAAByHIthGIYjC165ckWrVq3S7t27tWfPHu3Zs0e7d+/WkSNHJEmGYcjd3V3h4eHatGmTU4u+law8kB0AAAAAgMzKSg7N4+hKGzdurC1btqhy5cp64IEHVL9+fXXu3FkPPPCAHnjgAV2+fFlbt27V9u3bHV0FAAAAAAA5lsOB/MyZM1qzZo2qVKmS7nRPT081btxYjRs3dnQVAAAAAADkWA4H8j179jizDgAAAAAAcpUsD+oGAAAAAAAyj0AOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmIBADgAAAACACQjkAAAAAACYgEAOAAAAAIAJCOQAAAAAAJiAQA4AAAAAgAkI5AAAAAAAmCCP2QUAyLgUq6H1B88q7sJlFfTxUM2wALm6WMwuC3Aua4p0eLWUeEryLiSF1pFcXM2uCgAAwOnuqUD+999/a+TIkdq0aZNOnDih2bNn66mnnjK7LOCeMC/mhIb8vksn4i/b2kL8PDSoZbgejQgxsTLAiXb9Js3rJyUc/78238LSox9J4U+YVxcAAEA2uKcuWb948aIqV66sL7/80uxSgHvKvJgT6vb9ZrswLkkn4y+r2/ebNS/mhEmVAU606zfpf+3sw7gkJZy43r7rN3PqAgAAyCb31Bnyxx57TI899pjZZQD3lBSroSG/75KRzjRDkkXSkN936ZHwYC5fx/3LmnL9zPjt9vR5/aVyzbl8HQAA5Bj31BnyzLpy5YoSEhLsvoCcZv3Bs2nOjN/IkHQi/rLWHzx794oCnO3w6rRnxu0YUsKx6/MBAADkEPd1IB8xYoT8/PxsX8WKFTO7JMDp4i7cOow7Mh9wT0o85dz5AAAA7gP3dSAfMGCA4uPjbV9HjhwxuyTA6Qr6eDh1PuCe5F3IufMBAADcB+6pe8gzy93dXe7u7maXAWSrmmEBCvHz0Mn4y+neXWuRFOx3/RFowH0rtM710dQTTij9+8gt16eH1rnblQEAAGSb+/oMOZAbuLpYNKhluKTr4ftGqd8PahnOgG64v7m4Xn+0maRb7umPfsiAbgAAIEe5pwJ5YmKitm7dqq1bt0qSDh48qK1btyo2NtbcwgCTPRoRonEvP6hgP/vL0oP9PDTu5Qd5DjlyhvAnpOe+k3xv2p99C19v5znkAAAgh7EYhpHetYGmWLZsmRo3bpymvX379vr222/vuHxCQoL8/PwUHx8vX1/fbKgQMFeK1dD6g2cVd+GyCvpcv0ydM+PIcawp10dTTzx1/Z7x0DqcGQcAAPesrOTQeyqQZxWBHAAAAABwN2Ulh95Tl6wDAAAAAJBbEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMME9Gci//PJLlShRQh4eHqpVq5bWr19vdkkAAAAAADjVPRfIf/75Z0VFRWnQoEHavHmzKleurMjISMXFxZldGgAAAAAATnPPBfJRo0apS5cu6tixo8LDwzV+/Hjly5dPkydPNrs0AAAAAACcJo/ZBdwoOTlZmzZt0oABA2xtLi4uatq0qdasWZNm/itXrujKlSu27+Pj4yVJCQkJ2V8sAAAAACDXS82fhmFketl7KpD/999/SklJUaFChezaCxUqpN27d6eZf8SIERoyZEia9mLFimVbjQAAAAAA3OzMmTPy8/PL1DL3VCDPrAEDBigqKsr2/fnz5xUaGqrY2NhMbwjgfpGQkKBixYrpyJEj8vX1NbscIFuwnyM3YD9HbsB+jtwgPj5exYsXV0BAQKaXvacCeWBgoFxdXXXq1Cm79lOnTik4ODjN/O7u7nJ3d0/T7ufnxxseOZ6vry/7OXI89nPkBuznyA3Yz5EbuLhkfoi2e2pQNzc3N1WrVk2LFy+2tVmtVi1evFi1a9c2sTIAAAAAAJzrnjpDLklRUVFq3769qlevrpo1a2r06NG6ePGiOnbsaHZpAAAAAAA4zT0XyJ9//nmdPn1aAwcO1MmTJ1WlShXNmzcvzUBv6XF3d9egQYPSvYwdyCnYz5EbsJ8jN2A/R27Afo7cICv7ucVwZGx2AAAAAACQJffUPeQAAAAAAOQWBHIAAAAAAExAIAcAAAAAwAQEcgAAAAAATJCjAvmXX36pEiVKyMPDQ7Vq1dL69evNLglwmr///lstW7ZU4cKFZbFYNGfOHLNLApxuxIgRqlGjhnx8fFSwYEE99dRT2rNnj9llAU41btw4VapUSb6+vvL19VXt2rX1119/mV0WkG0+/PBDWSwW9enTx+xSAKcaPHiwLBaL3Ve5cuUy1UeOCeQ///yzoqKiNGjQIG3evFmVK1dWZGSk4uLizC4NcIqLFy+qcuXK+vLLL80uBcg2y5cvV48ePbR27VotXLhQV69eVbNmzXTx4kWzSwOcpmjRovrwww+1adMmbdy4UQ8//LCefPJJ7dy50+zSAKfbsGGDvv76a1WqVMnsUoBsUaFCBZ04ccL2tXLlykwtn2Mee1arVi3VqFFDX3zxhSTJarWqWLFi6tWrl/r3729ydYBzWSwWzZ49W0899ZTZpQDZ6vTp0ypYsKCWL1+uBg0amF0OkG0CAgI0cuRIde7c2exSAKdJTEzUgw8+qK+++krDhg1TlSpVNHr0aLPLApxm8ODBmjNnjrZu3epwHzniDHlycrI2bdqkpk2b2tpcXFzUtGlTrVmzxsTKAABZER8fL+l6WAFyopSUFP3000+6ePGiateubXY5gFP16NFDzZs3t/sbHchp9u3bp8KFC6tkyZJ66aWXFBsbm6nl82RTXXfVf//9p5SUFBUqVMiuvVChQtq9e7dJVQEAssJqtapPnz6qW7euIiIizC4HcKodO3aodu3aunz5sry9vTV79myFh4ebXRbgND/99JM2b96sDRs2mF0KkG1q1aqlb7/9VmXLltWJEyc0ZMgQ1a9fXzExMfLx8clQHzkikAMAcp4ePXooJiYm0/diAfeDsmXLauvWrYqPj9fMmTPVvn17LV++nFCOHOHIkSN6/fXXtXDhQnl4eJhdDpBtHnvsMdv/K1WqpFq1aik0NFT/+9//MnwLUo4I5IGBgXJ1ddWpU6fs2k+dOqXg4GCTqgIAOKpnz576448/9Pfff6to0aJmlwM4nZubm0qXLi1JqlatmjZs2KAxY8bo66+/NrkyIOs2bdqkuLg4Pfjgg7a2lJQU/f333/riiy905coVubq6mlghkD38/f31wAMPaP/+/RleJkfcQ+7m5qZq1app8eLFtjar1arFixdzPxYA3EcMw1DPnj01e/ZsLVmyRGFhYWaXBNwVVqtVV65cMbsMwCmaNGmiHTt2aOvWrbav6tWr66WXXtLWrVsJ48ixEhMTdeDAAYWEhGR4mRxxhlySoqKi1L59e1WvXl01a9bU6NGjdfHiRXXs2NHs0gCnSExMtPu07eDBg9q6dasCAgJUvHhxEysDnKdHjx764Ycf9Ouvv8rHx0cnT56UJPn5+cnT09Pk6gDnGDBggB577DEVL15cFy5c0A8//KBly5Zp/vz5ZpcGOIWPj0+asT+8vLxUoEABxgRBjhIdHa2WLVsqNDRUx48f16BBg+Tq6qo2bdpkuI8cE8iff/55nT59WgMHDtTJkydVpUoVzZs3L81Ab8D9auPGjWrcuLHt+6ioKElS+/bt9e2335pUFeBc48aNkyQ1atTIrn3KlCnq0KHD3S8IyAZxcXFq166dTpw4IT8/P1WqVEnz58/XI488YnZpAIBMOHr0qNq0aaMzZ84oKChI9erV09q1axUUFJThPnLMc8gBAAAAALif5Ih7yAEAAAAAuN8QyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAIBbOHPmjAoWLKhDhw6ZXYppGjVqpD59+txyeocOHfTUU0/dtXoy6k51Z9YLL7ygTz/91Gn9AQAgSRbDMAyziwAA4F4UFRWlCxcuaOLEiWaXkimNGjVSlSpVNHr06GzvKz4+XoZhyN/fP8vrcqazZ88qb9688vHxcUp/MTExatCggQ4ePCg/Pz+n9AkAAGfIAQBIR1JSkiZNmqTOnTubXco9zc/P754L45IUEBDgtDAuSRERESpVqpS+//57p/UJAACBHACQK5w/f14Wi0WrVq2SJO3fv1/lypXTu+++q/QuFps7d67c3d310EMP2bVbrVaNGDFCYWFh8vT0VOXKlTVz5kxJ0unTpxUcHKzhw4fb5l+9erXc3Ny0ePFiSdfPOPfs2VM9e/aUn5+fAgMD9d5779nVcLt13DjPxx9/rNKlS8vd3V3FixfXBx98oA4dOmj58uUaM2aMLBaLLBaL7ZL7O/V78eJFtWvXTt7e3goJCcnQJdo3X7I+b9481atXT/7+/ipQoIBatGihAwcO2C3TqFEj9erVS3369FH+/PlVqFAhTZw4URcvXlTHjh3l4+Oj0qVL66+//rrtumfOnKmKFSvK09NTBQoUUNOmTXXx4kXbOlIvWT906JBtW9z41ahRowxvb0lq2bKlfvrppztuEwAAMopADgDIFbZv3y6LxaLKlStr5cqVatiwod5++20NGzZMFoslzfwrVqxQtWrV0rSPGDFC3333ncaPH6+dO3eqb9++evnll7V8+XIFBQVp8uTJGjx4sDZu3KgLFy6obdu26tmzp5o0aWLrY+rUqcqTJ4/Wr1+vMWPGaNSoUfrmm28ytI5UAwYM0Icffqj33ntPu3bt0g8//KBChQppzJgxql27trp06aITJ07oxIkTKlasWIb6ffPNN7V8+XL9+uuvWrBggZYtW6bNmzdnajtfvHhRUVFR2rhxoxYvXiwXFxc9/fTTslqtdvNNnTpVgYGBWr9+vXr16qVu3bqpdevWqlOnjjZv3qxmzZqpbdu2SkpKSnc9J06cUJs2bdSpUyf9888/WrZsmZ555pl0P1wpVqyYbVucOHFCW7ZsUYECBdSgQYMMb29JqlmzptavX68rV65kapsAAHBLBgAAucDnn39ulC5d2vj++++NwoULG8uXL7/t/E8++aTRqVMnu7bLly8b+fLlM1avXm3X3rlzZ6NNmza277t372488MADxosvvmhUrFjRuHz5sm1aw4YNjfLlyxtWq9XW1q9fP6N8+fIZXkdCQoLh7u5uTJw4Md3aGzZsaLz++uuZqv3ChQuGm5ub8b///c827cyZM4anp2eavm7Uvn1748knn7zl9NOnTxuSjB07dtjVV69ePdv3165dM7y8vIy2bdva2k6cOGFIMtasWZNuv5s2bTIkGYcOHUp3enrbwDAM49KlS0atWrWMFi1aGCkpKRn+mRqGYWzbtu226wQAILPymPtxAAAAd8e2bdt08uRJdejQQZUqVbKdHb2VS5cuycPDw65t//79SkpK0iOPPGLXnpycrKpVq9q+/+STTxQREaEZM2Zo06ZNcnd3t5v/oYcesjsrX7t2bX366adKSUnJ0Dr++ecfXblyxe6s+53cqd8DBw4oOTlZtWrVsk0LCAhQ2bJlM7wOSdq3b58GDhyodevW6b///rOdGY+NjVVERIRtvkqVKtn+7+rqqgIFCqhixYq2tkKFCkmS4uLi0l1P5cqV1aRJE1WsWFGRkZFq1qyZWrVqpfz589+2vk6dOunChQtauHChXFxcMvwzlSRPT09JuuVZewAAMotADgDIFbZt26bq1atr2LBhql+/vubMmXPbx3UFBgbq3Llzdm2JiYmSpD///FNFihSxm3Zj6D5w4ICOHz8uq9WqQ4cO2QXNO8nIOlKDYWbcqd+zZ89mus/0tGzZUqGhoZo4caIKFy4sq9WqiIgIJScn282XN29eu+8tFotdW+oHFjdf6p7K1dVVCxcu1OrVq7VgwQKNHTtW77zzjtatW6ewsLB0lxk2bJjmz5+v9evX2wZ8y+jPVJJtGwUFBd12GwAAkFEEcgBAjpeSkqKYmBj9/PPPqlu3rlq1aqXBgwfrySefTPf+cUmqWrVqmhG1w8PD5e7urtjYWDVs2DDd5ZKTk/Xyyy/r+eefV9myZfXKK69ox44dKliwoG2edevW2S2zdu1alSlTRq6urhlaR5kyZeTp6anFixfrlVdeSTPdzc1NKSkpmao9f/78yps3r9atW6fixYtLks6dO6e9e/feso6bnTlzRnv27NHEiRNVv359SdLKlSsztKwjLBaL6tatq7p162rgwIEKDQ3V7NmzFRUVlWbeWbNmaejQofrrr79UqlQpW3tGtneqmJgYFS1aVIGBgU5/LQCA3IlADgDI8fbu3avLly+rSpUqkqT33ntPlStX1qxZs9SqVat0l4mMjNSAAQN07tw522XQPj4+io6OVt++fWW1WlWvXj3Fx8dr1apV8vX1Vfv27fXOO+8oPj5en3/+uby9vTV37lx16tRJf/zxh63v2NhYRUVFqWvXrtq8ebPGjh1rG9E8I+vw8PBQv3799NZbb8nNzU1169bV6dOntXPnTnXu3FklSpTQunXrdOjQIXl7e9seAXanfjt37qw333xTBQoUUMGCBfXOO+/IxSXj47/mz59fBQoU0IQJExQSEqLY2Fj179/fwZ/a7a1bt06LFy9Ws2bNVLBgQa1bt06nT59W+fLl08wbExOjdu3aqV+/fqpQoYJOnjwp6foHFwEBAXfcLqlWrFihZs2aZcvrAQDkUmbfxA4AQHb78ccfDX9/f7u2Z5991qhQoYKRkpJyy+Vq1qxpjB8/3q7NarUao0ePNsqWLWvkzZvXCAoKMiIjI43ly5cbS5cuNfLkyWOsWLHCNv/BgwcNX19f46uvvjIM4/pgY927dzdee+01w9fX18ifP7/x9ttv2w3ydrt1pEpJSTGGDRtmhIaGGnnz5jWKFy9uDB8+3DAMw9izZ4/x0EMPGZ6enoYk4+DBgxnq98KFC8bLL79s5MuXzyhUqJDx8ccf33JwtFQ3D+q2cOFCo3z58oa7u7tRqVIlY9myZYYkY/bs2bZ50uszNDTU+Oyzz+zabl7uRrt27TIiIyONoKAgw93d3XjggQeMsWPHpruOKVOmGJLSfDVs2DDD2/vSpUuGn5/fLQeZAwDAERbDSOf5IAAAQH/++afefPNNxcTEZOpM8e00atRIVapU0ejRo53Sn9natGkjV1fXNJf35zTjxo3T7NmztWDBArNLAQDkIDyHHACAW2jevLleffVVHTt2zOxS7jnXrl3Trl27tGbNGlWoUMHscrJd3rx5NXbsWLPLAADkMNxDDgDAbfTp08fsEu5JMTExqlOnjho3bqzXXnvN7HKyXXqD5wEAkFVcsg4AAAAAgAm4ZB0AAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwAYEcAAAAAAATEMgBAAAAADABgRwAAAAAABMQyAEAAAAAMAGBHAAAAAAAExDIAQAAAAAwwf8DG4v9wA8Gbg0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "road1 = gs.array([1.0, 1.0])\n",
    "road2 = gs.array([2.0, 1.0])\n",
    "road3 = gs.array([1.0, 2.0])\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "plt.scatter(*road1, label=\"road1\")\n",
    "plt.scatter(*road2, label=\"road2\")\n",
    "plt.scatter(*road3, label=\"road3\")\n",
    "plt.xlabel(\"$\\\\kappa$ (expected jam size)\")\n",
    "plt.ylabel(\"$\\\\gamma$ (expected time spent in traffic)\")\n",
    "plt.title(\n",
    "    \"3 roads subject to traffic jams, represented as points on the Gamma manifold.\"\n",
    ")\n",
    "plt.legend()\n",
    "plt.xlim(0, 5)\n",
    "plt.ylim(0, 5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here:\n",
    "- road 1 is $(\\kappa_1=1,\\gamma_1=1)$;\n",
    "- road 2 is $(\\kappa_2=2,\\gamma_2=1)$;\n",
    "- road 3 is $(\\kappa_3=1,\\gamma_3=2)$.\n",
    "\n",
    "This means that cars on road 1 will spend half as much time as cars on road 3 in the case of a traffic jam, on average. On the other hand, cars on road 1 and road 2 will spend the same time in traffic on average, but the line is twice as long on road 2."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.2. Mathematical representation of renovation efforts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2.1. Hypotheses"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Renovating a road initially aims at reducing the expected time spent in traffic. This means that for a given road $x_r = (\\kappa_r, \\gamma_r)$, we want to reduce $\\gamma_r$ as efficiently as possible. But, the efficiency of the renovation in that regard heavily depends on the road: one can argue that it is more efficient to renovate a road where traffic jams are frequent than a road on which the traffic is almost fluid. This is where information geometry comes in handy: as a riemannian manifold, the metric of the Gamma manifold is point-dependent.\n",
    "\n",
    "By seeing renovation as an effort in reducing the expected time in traffic, we can model the advancement of the renovation as the geodesic departing from the point representation of the road, and with initial tangent vector in the direction and orientation $-\\gamma$. This reflects the fact that the advancement of the renovation will follow the most natural path, i.e. the distribution of the waiting time of the associated road will change as little as possible throughout the renovation. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2.2. Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We decide to model a renovation effort of budget/effort $r_i$ on road $x_r$ as the tangent vector $r_i \\left(\\begin{array}{c} 0 \\\\ -1 \\end{array}\\right)_{x_r}$, where $\\left(\\begin{array}{c} 0 \\\\ -1 \\end{array}\\right)_{x}$ is the unit tangent vector at $x$ with direction and orientation $-\\gamma$. The amount of effort/resources invested in the renovation of a given road is directly represented by the norm of the tangent vector.\n",
    "\n",
    "Investing as much as $r_i$ renovation resources on road $x_r$ will result in having the renovated road $x_r' = \\exp_{x_r} \\left( r_i \\times \\left(\\begin{array}{c} 0 \\\\ -1 \\end{array}\\right)_{x_r} \\right)$, where $\\exp_{x}$ is the exponential map at $x$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following plot shows a comparison of similar renovations undertaken on the roads in the previous example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Road 1 renovation: expected waiting time has decreased from 1.0 to 0.409, expected jam size has increased from 1.0 to 1.443.\n",
      "Road 2 renovation: expected waiting time has decreased from 1.0 to 0.536, expected jam size has increased from 2.0 to 2.995.\n",
      "Road 3 renovation: expected waiting time has decreased from 2.0 to 0.818, expected jam size has increased from 1.0 to 1.443.\n"
     ]
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 8))\n",
    "\n",
    "t = gs.linspace(0, 1, 10)\n",
    "\n",
    "plt.scatter(*road1, label=\"road 1\")\n",
    "plt.scatter(*road2, label=\"road 2\")\n",
    "plt.scatter(*road3, label=\"road 3\")\n",
    "\n",
    "effort = gs.array([0.0, -1.0])\n",
    "\n",
    "effort1 = space.metric.normalize(effort, road1)\n",
    "renovation1 = space.metric.geodesic(initial_point=road1, initial_tangent_vec=effort1)\n",
    "renovation1 = renovation1(t)\n",
    "plt.plot(*gs.transpose(renovation1), label=\"advancement of renovation effort on road 1\")\n",
    "\n",
    "effort2 = space.metric.normalize(effort, road2)\n",
    "renovation2 = space.metric.geodesic(initial_point=road2, initial_tangent_vec=effort2)\n",
    "renovation2 = renovation2(t)\n",
    "plt.plot(*gs.transpose(renovation2), label=\"advancement of renovation effort on road 2\")\n",
    "\n",
    "effort3 = space.metric.normalize(effort, road3)\n",
    "renovation3 = space.metric.geodesic(initial_point=road3, initial_tangent_vec=effort3)\n",
    "renovation3 = renovation3(t)\n",
    "plt.plot(*gs.transpose(renovation3), label=\"advancement of renovation effort on road 3\")\n",
    "\n",
    "plt.xlabel(\"$\\\\kappa$ (expected jam size)\")\n",
    "plt.ylabel(\"$\\\\gamma$ (expected time spent in traffic)\")\n",
    "\n",
    "plt.title(\"Comparison of different renovation efforts\")\n",
    "\n",
    "plt.legend()\n",
    "plt.axis(\"equal\")\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(\n",
    "    f\"Road 1 renovation: expected waiting time has decreased from {road1[1]} to {str(renovation1[-1,1])[:5]}, expected jam size has increased from {road1[0]} to {str(renovation1[-1,0])[:5]}.\"\n",
    ")\n",
    "print(\n",
    "    f\"Road 2 renovation: expected waiting time has decreased from {road2[1]} to {str(renovation2[-1,1])[:5]}, expected jam size has increased from {road2[0]} to {str(renovation2[-1,0])[:5]}.\"\n",
    ")\n",
    "print(\n",
    "    f\"Road 3 renovation: expected waiting time has decreased from {road3[1]} to {str(renovation3[-1,1])[:5]}, expected jam size has increased from {road3[0]} to {str(renovation3[-1,0])[:5]}.\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We observe that it is much more efficient to renovate road 3 rather than road 1 in terms of gained expected waiting time. This was expected given road 1 is much more fluid than road 3. In terms of relative time gain however, the result is the same: this is specific to Gamma distributions. In addition, renovating road 3 is more efficient than renovating road 2, either in absolute or relative time gain. We observe furthermore that investing similar efforts in renovating roads 3 and 2 result in different evolutions regarding the expected jam size: it increases by 44% in the first case and by as much as 50% in the second one. This becomes delicate especially considering the expected car line on road 2 was already long.\n",
    "\n",
    "We notice that renovations increase the expected jam size: this can be interpreted as the fact that a renovated roads allows drivers to go faster and the lane becomes longer, in a sense the traffic becomes more diluted. This can be observed in the following plot: renovations increase at once the expected jam size and the expected exit time rate, rendering the road open to much more traffic."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 8))\n",
    "\n",
    "diffeo = NaturalToStandardDiffeo()\n",
    "\n",
    "road1 = diffeo.diffeomorphism(road1)\n",
    "road2 = diffeo.diffeomorphism(road2)\n",
    "road3 = diffeo.diffeomorphism(road3)\n",
    "\n",
    "plt.scatter(*road1, label=\"road 1\")\n",
    "plt.scatter(*road2, label=\"road 2\")\n",
    "plt.scatter(*road3, label=\"road 3\")\n",
    "\n",
    "renovation1 = diffeo.inverse_diffeomorphism(renovation1)\n",
    "renovation2 = diffeo.inverse_diffeomorphism(renovation2)\n",
    "renovation3 = diffeo.inverse_diffeomorphism(renovation3)\n",
    "\n",
    "plt.plot(*gs.transpose(renovation1), label=\"advancement of renovation effort on road 1\")\n",
    "plt.plot(*gs.transpose(renovation2), label=\"advancement of renovation effort on road 2\")\n",
    "plt.plot(*gs.transpose(renovation3), label=\"advancement of renovation effort on road 3\")\n",
    "\n",
    "plt.xlabel(\"$\\\\kappa$ (expected jam size)\")\n",
    "plt.ylabel(\"$\\\\nu$ (expected exit time rate in traffic)\")\n",
    "\n",
    "plt.title(\"Comparison of different renovation efforts in natural coordinates\")\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The fact that these results validate our observations and expected consequences of renovations legitimates the use of information geometry to model the situation. For instance, a euclidean modeling of the situation would make no sense: all renovations would have the same impact although applied to different roads, because the norm of a tangent vector (i.e. the renovation effort) would be independent of its base point (the road)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Therefore, the key to optimizing Sao Paulo's traffic obviously lies in maximizing the efficiency of the renovation, with limited renovation resources."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.3. Optimization problem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The aim is to minimize the mean expected congestion time in Sao Paulo, weighted by the frequencies $f_i$ of traffic jams $1 \\leq i \\leq n$, under the constraint of a total quantity of resources $r$. This reads:\n",
    "\n",
    "\\begin{equation}\n",
    "\\begin{cases}\n",
    "\\min_{(r_i)}  \\sum_{i=1}^n f_i \\times \\exp_{x_i} \\left( r_i \\times \\left(\\begin{array}{c} 0 \\\\ -1 \\end{array}\\right)_{x_i} \\right)_{\\gamma} \\\\\n",
    "\\forall i \\in \\{1,...,n\\}, r_i \\geq 0 \\\\\n",
    "\\sum_{1 \\leq i \\leq n} r_i = r \\\\\n",
    "\\end{cases},\n",
    "\\end{equation}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "where:\n",
    "- $(x_i)$ are the roads;\n",
    "- $\\left(\\begin{array}{c} 0 \\\\ -1 \\end{array}\\right)_{x_i}$ is the unit tangent vector at $x_i$ with direction and orientation $-\\gamma$;\n",
    "- $\\exp_{x_i}$ is the exponential map at $x_i$;\n",
    "- for $x \\in G$ (the Gamma manifold), $x_{\\gamma}$ is its $\\gamma$ coordinate;\n",
    "- $r_i$ is the resource allocated for renovating road $i$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Remark"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We could rewrite the problem in a simpler way analytically, making use of the following results:\n",
    "- the relative efficiency of renovation (i.e. the ratio of expected congestion times) does not depend on the original expected congestion time of the road ($\\gamma$);\n",
    "- similarly, the length of the car lane of the renovated road does not depend on the original expected congestion time of the road ($\\gamma$).\n",
    "\n",
    "However, we will not use these results to make way for a better computational solution of the problem.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4. Dataset processing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we associate to each of the roads eligible for renovation its parameters for a Gamma distribution, through a maximum likelihood fit of the durations of traffic jams: __jam_table__ gives, for each road $r$, a sample of size $n_r$ of all the traffic jams and their durations from 2001 to 2019."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "names, kappas, gammas = [], [], []\n",
    "\n",
    "for road in roads_to_renovate:\n",
    "    frame = df.loc[df[\"name\"] == road]\n",
    "    sample = frame[\"duration\"]\n",
    "    try:\n",
    "        kappa, gamma = space.maximum_likelihood_fit(sample)\n",
    "        if not (gs.any(gs.isnan([kappa, gamma]))):\n",
    "            names.append(road)\n",
    "            kappas.append(kappa)\n",
    "            gammas.append(gamma)\n",
    "    except:\n",
    "        continue"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Having focused on the 180 most congestioned roads makes sense now, as the estimations for the Gamma parameters of the roads are much more relevant. Accounting for all the roads would result in having outliers in our set of roads, rendering the computation far more complex. In addition, roads with a negligible count of traffic jams in such a long time span do not necessarily call for renovation.\n",
    "\n",
    "That is why, for the following and for the problem at hand, we can consider the following simplification: the roads eligible for renovation represent SP's roads subject to traffic jams, i.e. the exact dataset we want to be working on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "dict_parameters = {\"name\": names, \"kappa\": kappas, \"gamma\": gammas}\n",
    "data = pd.DataFrame.from_dict(dict_parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To each of the roads eligible for renovation we associate a weight proportional to the number of traffic jams between 2001 and 2019."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "good_points = list(data[\"name\"])\n",
    "weights = gs.array(list(map(jam_count.get, good_points)))\n",
    "weights = weights / gs.sum(weights)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The 180 most congestioned roads of SP can be represented as follows on the Gamma manifold."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kappa, gamma = data[\"kappa\"], data[\"gamma\"]\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "\n",
    "mean = gs.array([gs.sum(weights * kappa), gs.sum(weights * gamma)])\n",
    "\n",
    "plt.scatter(kappa, gamma, label=\"road eligible for renovation\")\n",
    "plt.scatter(*mean, color=\"r\", s=100, label=\"mean road eligible for renovation\")\n",
    "plt.xlabel(\"$\\\\kappa$ (number of cars in arbitrary units)\")\n",
    "plt.ylabel(\"$\\\\gamma$ (expected time spent in traffic in hours)\")\n",
    "plt.title(\n",
    "    \"Sao Paulo's roads most subject to traffic jams, as represented as points on the Gamma manifold.\"\n",
    ")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We observe that the vast majority of traffic jams in SP can take from 2 to 6+ hours of congestion time. On the most impactful roads (eligible for renovation), the mean waiting time is 3h 24min."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5. Solving the problem at hand"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Arbitrarily (and for computational purposes), we are allocated a total of 10 resources to allocate on the renovations. It might seem like the amount of total resources should not matter that much as the original aim is simply knowing how to allocate the total quantity of resources between all the roads eligible for renovation, but renovations are not linear."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "total_resources = 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "points = gs.transpose(gs.stack([kappa, gamma]))\n",
    "n_points = len(points)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We optimize the allocation of resources for renovation here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from geomstats.numerics.optimizers import ScipyMinimize\n",
    "\n",
    "minimizer = ScipyMinimize(\n",
    "    method=\"SLSQP\",\n",
    "    constraints=(\n",
    "        {\"type\": \"ineq\", \"fun\": lambda x: total_resources - gs.sum(x)},\n",
    "        {\"type\": \"ineq\", \"fun\": lambda x: x.min()},\n",
    "    ),\n",
    "    jac=\"autodiff\",\n",
    "    options={\"disp\": False, \"maxiter\": 100},\n",
    "    tol=gs.atol,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Iteration limit reached\n"
     ]
    }
   ],
   "source": [
    "def rebuilding(point, resources):\n",
    "    vec = gs.array([0.0, -1.0])\n",
    "    norm = resources * total_resources\n",
    "    tangent_vec = gs.einsum(\"...,...j->...j\", norm, vec)\n",
    "    end_point = space.metric.exp(tangent_vec, point)\n",
    "    return end_point\n",
    "\n",
    "\n",
    "def objective(resources):\n",
    "    end_points = rebuilding(points, resources)\n",
    "    gammas = end_points[:, 1]\n",
    "    return gs.mean(weights * gammas)\n",
    "\n",
    "\n",
    "resources = total_resources * weights\n",
    "\n",
    "res = minimizer.minimize(objective, resources)\n",
    "\n",
    "resources = res.x\n",
    "\n",
    "new_points = rebuilding(points, resources)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "original_SP = gs.sum(gs.einsum(\"...,...j->...j\", weights, points), axis=0)\n",
    "\n",
    "fig = plt.figure(figsize=(16, 12))\n",
    "\n",
    "plt.scatter(points[:, 0], points[:, 1], label=\"original points\", s=20)\n",
    "\n",
    "plt.scatter(*original_SP, label=\"original SP\", s=50)\n",
    "\n",
    "plt.scatter(new_points[:, 0], new_points[:, 1], label=\"points after renovation\", s=20)\n",
    "\n",
    "for i in range(n_points):\n",
    "    plt.arrow(\n",
    "        points[i, 0],\n",
    "        points[i, 1],\n",
    "        (new_points - points)[i, 0],\n",
    "        (new_points - points)[i, 1],\n",
    "        head_width=0.01,\n",
    "        linestyle=\"\",\n",
    "        length_includes_head=True,\n",
    "    )\n",
    "    percentage = resources[i] * 100 / total_resources\n",
    "    if percentage > 2:\n",
    "        plt.text(points[i, 0], points[i, 1], f\"{str(percentage)[:5]} %\")\n",
    "\n",
    "new_SP = gs.sum(gs.einsum(\"...,...j->...j\", weights, new_points), axis=0)\n",
    "\n",
    "plt.scatter(*new_SP, label=\"SP after renovation\", s=50)\n",
    "\n",
    "plt.arrow(\n",
    "    *original_SP,\n",
    "    *(new_SP - original_SP),\n",
    "    head_width=0.05,\n",
    "    linestyle=\"-\",\n",
    "    length_includes_head=True,\n",
    ")\n",
    "\n",
    "plt.xlabel(\"$\\\\kappa$ (expected jam size)\")\n",
    "plt.ylabel(\"$\\\\gamma$ (expected time spent in traffic in hours)\")\n",
    "\n",
    "plt.title(\"Optimization of SP's traffic\")\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Above, the percentages represent the proportion of the total resources that have been allocated to the renovation of each road: they are visible if greater than 1%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean expected congestion time has been reduced by as much as 24.84 % in Sao Paulo :)\n",
      "Variance in congestion time has been reduced by as much as 48.33 % in Sao Paulo :)\n"
     ]
    }
   ],
   "source": [
    "original_size, original_time = original_SP\n",
    "new_size, new_time = new_SP\n",
    "\n",
    "relative_time_reduction = (original_time - new_time) / original_time\n",
    "\n",
    "original_variance, new_variance = (\n",
    "    original_time**2 / original_size,\n",
    "    new_time**2 / new_size,\n",
    ")\n",
    "relative_variance_reduction = (original_variance - new_variance) / original_variance\n",
    "\n",
    "print(\n",
    "    f\"Mean expected congestion time has been reduced by as much as {str(relative_time_reduction*100)[:5]} % in Sao Paulo :)\"\n",
    ")\n",
    "print(\n",
    "    f\"Variance in congestion time has been reduced by as much as {str(relative_variance_reduction*100)[:5]} % in Sao Paulo :)\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have managed to substantially reduce the mean expected congestion time in SP by as much as 25%, not at great expense of the expected jam sizes! We also happen to have halved the variance of the mean congestion time, rendering long traffic jams rarer. This is a great success!"
   ]
  }
 ],
 "metadata": {
  "backends": [
   "autograd"
  ],
  "interpreter": {
   "hash": "bb13ff0fdb59d83d23981f704716babf0aa4691da0c52572c8d02d981125b795"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}