{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# WeatherPy\n",
    "----\n",
    "\n",
    "#### Note\n",
    "* Instructions have been included for each segment. You do not have to follow them exactly, but they are included to help you think through the steps."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Observable Trends and Insights\n",
    " #### 1. The findings of these analysis showed that there is a higher temperature for cities that found near to the equator (Latitude 0), however, when we go farther from the equator towards the north the temperature decreases highly. However, when we go to the south the temperature decreases but it is much lower comparing to the north. The regression analysis and plot also showed that there is a strong negative correlation between temperature, and latitude in the northern hemisphere however, the correlation between temperature and latitude in the south Hemisphere is negative but very week to conclude. \n",
    " \n",
    " \n",
    " #### 2. The findings from the data, plots, and the regression line in the case of testing if there is a relation between humidity and cloudiness of cities nearer or farther to the equator (latitude 0) doesn't show any significant results. The correlation between humidity and latitude for both northern and southern hemisphere cities is very week, negative correlation, and the result for cloudiness and latitude also very week and negative. Therefore, We can infer that humidity can be fairly distributed in both northern and southern hemisphere cities regardless of their distance from the equator.\n",
    " \n",
    " #### 3. The finding from the analysis of  the relationship between wind speed (mph), and latitude showed that the lower wind speed when the cities closer to the equater (latitude 0), and somehow the wind speed increase for the cities farther from the equater. The regression analysis also showed that there is a very week, posetive correlation between Wind Speed (mph (%) and Latitude in the Northern Hemisphere cities.\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# Dependencies and Setup\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import requests\n",
    "import time\n",
    "from datetime import datetime\n",
    "from scipy.stats import linregress\n",
    "import scipy.stats as st\n",
    "\n",
    "# Import API key\n",
    "from api_keys import weather_api_key\n",
    "\n",
    "# Incorporated citipy to determine city based on latitude and longitude\n",
    "from citipy import citipy\n",
    "\n",
    "# Output File (CSV)\n",
    "output_data_file = \"output_data/cities.csv\"\n",
    "\n",
    "# Range of latitudes and longitudes\n",
    "lat_range = (-90, 90)\n",
    "lng_range = (-180, 180)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate Cities List"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "639"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# List for holding lat_lngs and cities\n",
    "lat_lngs = []\n",
    "cities = []\n",
    "\n",
    "# Create a set of random lat and lng combinations\n",
    "lats = np.random.uniform(low=-90.000, high=90.000, size=1500)\n",
    "lngs = np.random.uniform(low=-180.000, high=180.000, size=1500)\n",
    "lat_lngs = zip(lats, lngs)\n",
    "\n",
    "# Identify nearest city for each lat, lng combination\n",
    "for lat_lng in lat_lngs:\n",
    "    city = citipy.nearest_city(lat_lng[0], lat_lng[1]).city_name\n",
    "    \n",
    "    # If the city is unique, then add it to a our cities list\n",
    "    if city not in cities:\n",
    "        cities.append(city)\n",
    "\n",
    "# Print the city count to confirm sufficient count\n",
    "len(cities)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Perform API Calls\n",
    "* Perform a weather check on each city using a series of successive API calls.\n",
    "* Include a print log of each city as it'sbeing processed (with the city number and city name).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Url and units\n",
    "url = \"http://api.openweathermap.org/data/2.5/weather?\"\n",
    "units = \"imperial\"\n",
    "\n",
    "# Build query URL\n",
    "query_url = f\"{url}appid={weather_api_key}&units={units}&q=\"\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Beginning Data Retrieval\n",
      "--------------------------------------------\n",
      "Processing Record 1 of Set 1 | severo-kurilsk\n",
      "Processing Record 2 of Set 1 | ust-kamchatsk\n",
      "City not found. Skipping...\n",
      "Processing Record 3 of Set 1 | vaini\n",
      "Processing Record 4 of Set 1 | cidreira\n",
      "Processing Record 5 of Set 1 | taolanaro\n",
      "City not found. Skipping...\n",
      "Processing Record 6 of Set 1 | kalmar\n",
      "Processing Record 7 of Set 1 | merauke\n",
      "Processing Record 8 of Set 1 | barrow\n",
      "Processing Record 9 of Set 1 | mahebourg\n",
      "Processing Record 10 of Set 1 | east london\n",
      "Processing Record 11 of Set 1 | albany\n",
      "Processing Record 12 of Set 1 | codrington\n",
      "Processing Record 13 of Set 1 | pangai\n",
      "Processing Record 14 of Set 1 | yarim\n",
      "Processing Record 15 of Set 1 | trelew\n",
      "Processing Record 16 of Set 1 | dingle\n",
      "Processing Record 17 of Set 1 | jacmel\n",
      "Processing Record 18 of Set 1 | butaritari\n",
      "Processing Record 19 of Set 1 | punta arenas\n",
      "Processing Record 20 of Set 1 | yellowknife\n",
      "Processing Record 21 of Set 1 | port keats\n",
      "Processing Record 22 of Set 1 | thinadhoo\n",
      "Processing Record 23 of Set 1 | masuguru\n",
      "Processing Record 24 of Set 1 | guerrero negro\n",
      "Processing Record 25 of Set 1 | shingu\n",
      "Processing Record 26 of Set 1 | port elizabeth\n",
      "Processing Record 27 of Set 1 | porto velho\n",
      "Processing Record 28 of Set 1 | broome\n",
      "Processing Record 29 of Set 1 | castro\n",
      "Processing Record 30 of Set 1 | katherine\n",
      "Processing Record 31 of Set 1 | umba\n",
      "Processing Record 32 of Set 1 | kahului\n",
      "Processing Record 33 of Set 1 | kodiak\n",
      "Processing Record 34 of Set 1 | goderich\n",
      "Processing Record 35 of Set 1 | atar\n",
      "Processing Record 36 of Set 1 | belushya guba\n",
      "City not found. Skipping...\n",
      "Processing Record 37 of Set 1 | port alfred\n",
      "Processing Record 38 of Set 1 | santa eulalia del rio\n",
      "City not found. Skipping...\n",
      "Processing Record 39 of Set 1 | avarua\n",
      "Processing Record 40 of Set 1 | rikitea\n",
      "Processing Record 41 of Set 1 | hithadhoo\n",
      "Processing Record 42 of Set 1 | bredasdorp\n",
      "Processing Record 43 of Set 1 | klaksvik\n",
      "Processing Record 44 of Set 1 | arraial do cabo\n",
      "Processing Record 45 of Set 1 | ambodifototra\n",
      "City not found. Skipping...\n",
      "Processing Record 46 of Set 1 | tasiilaq\n",
      "Processing Record 47 of Set 1 | soltvadkert\n",
      "Processing Record 48 of Set 1 | mar del plata\n",
      "Processing Record 49 of Set 1 | kapaa\n",
      "Processing Record 50 of Set 1 | karkaralinsk\n",
      "City not found. Skipping...\n",
      "Processing Record 1 of Set 2 | busselton\n",
      "Processing Record 2 of Set 2 | hobart\n",
      "Processing Record 3 of Set 2 | yaguachi\n",
      "Processing Record 4 of Set 2 | aiquile\n",
      "Processing Record 5 of Set 2 | mamallapuram\n",
      "Processing Record 6 of Set 2 | tuktoyaktuk\n",
      "Processing Record 7 of Set 2 | los llanos de aridane\n",
      "Processing Record 8 of Set 2 | ibra\n",
      "Processing Record 9 of Set 2 | ugoofaaru\n",
      "Processing Record 10 of Set 2 | nikolskoye\n",
      "Processing Record 11 of Set 2 | nanortalik\n",
      "Processing Record 12 of Set 2 | portland\n",
      "Processing Record 13 of Set 2 | lata\n",
      "Processing Record 14 of Set 2 | kaitangata\n",
      "Processing Record 15 of Set 2 | kattivakkam\n",
      "Processing Record 16 of Set 2 | miraflores\n",
      "Processing Record 17 of Set 2 | ponta do sol\n",
      "Processing Record 18 of Set 2 | liniere\n",
      "City not found. Skipping...\n",
      "Processing Record 19 of Set 2 | simao dias\n",
      "Processing Record 20 of Set 2 | saskylakh\n",
      "Processing Record 21 of Set 2 | vyara\n",
      "Processing Record 22 of Set 2 | ksenyevka\n",
      "City not found. Skipping...\n",
      "Processing Record 23 of Set 2 | karratha\n",
      "Processing Record 24 of Set 2 | mataura\n",
      "Processing Record 25 of Set 2 | thompson\n",
      "Processing Record 26 of Set 2 | havoysund\n",
      "Processing Record 27 of Set 2 | bueu\n",
      "Processing Record 28 of Set 2 | palana\n",
      "Processing Record 29 of Set 2 | iqaluit\n",
      "Processing Record 30 of Set 2 | saint-pierre\n",
      "Processing Record 31 of Set 2 | henties bay\n",
      "Processing Record 32 of Set 2 | miles city\n",
      "Processing Record 33 of Set 2 | aksay\n",
      "Processing Record 34 of Set 2 | toliary\n",
      "City not found. Skipping...\n",
      "Processing Record 35 of Set 2 | christchurch\n",
      "Processing Record 36 of Set 2 | tabiauea\n",
      "City not found. Skipping...\n",
      "Processing Record 37 of Set 2 | atuona\n",
      "Processing Record 38 of Set 2 | uvalde\n",
      "Processing Record 39 of Set 2 | shahr-e babak\n",
      "Processing Record 40 of Set 2 | grand gaube\n",
      "Processing Record 41 of Set 2 | khatanga\n",
      "Processing Record 42 of Set 2 | bonavista\n",
      "Processing Record 43 of Set 2 | ayios serafim\n",
      "Processing Record 44 of Set 2 | jamestown\n",
      "Processing Record 45 of Set 2 | sumenep\n",
      "Processing Record 46 of Set 2 | melfi\n",
      "Processing Record 47 of Set 2 | sioux lookout\n",
      "Processing Record 48 of Set 2 | mitsamiouli\n",
      "Processing Record 49 of Set 2 | inongo\n",
      "Processing Record 50 of Set 2 | wonthaggi\n",
      "Processing Record 1 of Set 3 | port moresby\n",
      "Processing Record 2 of Set 3 | qaanaaq\n",
      "Processing Record 3 of Set 3 | chuy\n",
      "Processing Record 4 of Set 3 | gorkovskoye\n",
      "City not found. Skipping...\n",
      "Processing Record 5 of Set 3 | provideniya\n",
      "Processing Record 6 of Set 3 | formoso do araguaia\n",
      "City not found. Skipping...\n",
      "Processing Record 7 of Set 3 | hangu\n",
      "Processing Record 8 of Set 3 | gardan diwal\n",
      "City not found. Skipping...\n",
      "Processing Record 9 of Set 3 | chadiza\n",
      "Processing Record 10 of Set 3 | camabatela\n",
      "Processing Record 11 of Set 3 | vila franca do campo\n",
      "Processing Record 12 of Set 3 | bluff\n",
      "Processing Record 13 of Set 3 | payakumbuh\n",
      "Processing Record 14 of Set 3 | tura\n",
      "Processing Record 15 of Set 3 | hovd\n",
      "Processing Record 16 of Set 3 | ushuaia\n",
      "Processing Record 17 of Set 3 | bengkulu\n",
      "Processing Record 18 of Set 3 | pokhara\n",
      "Processing Record 19 of Set 3 | zhuozhou\n",
      "City not found. Skipping...\n",
      "Processing Record 20 of Set 3 | andra\n",
      "Processing Record 21 of Set 3 | camopi\n",
      "Processing Record 22 of Set 3 | port blair\n",
      "Processing Record 23 of Set 3 | skalat\n",
      "Processing Record 24 of Set 3 | vaasa\n",
      "Processing Record 25 of Set 3 | sorong\n",
      "Processing Record 26 of Set 3 | tiksi\n",
      "Processing Record 27 of Set 3 | fortuna\n",
      "Processing Record 28 of Set 3 | vostok\n",
      "Processing Record 29 of Set 3 | inverell\n",
      "Processing Record 30 of Set 3 | tecpatan\n",
      "Processing Record 31 of Set 3 | carnarvon\n",
      "Processing Record 32 of Set 3 | marcona\n",
      "City not found. Skipping...\n",
      "Processing Record 33 of Set 3 | lorengau\n",
      "Processing Record 34 of Set 3 | vardo\n",
      "Processing Record 35 of Set 3 | amahai\n",
      "Processing Record 36 of Set 3 | ostrovnoy\n",
      "Processing Record 37 of Set 3 | sabha\n",
      "Processing Record 38 of Set 3 | cabo san lucas\n",
      "Processing Record 39 of Set 3 | provadija\n",
      "City not found. Skipping...\n",
      "Processing Record 40 of Set 3 | cayenne\n",
      "Processing Record 41 of Set 3 | bethel\n",
      "Processing Record 42 of Set 3 | norman wells\n",
      "Processing Record 43 of Set 3 | samalaeulu\n",
      "City not found. Skipping...\n",
      "Processing Record 44 of Set 3 | mehamn\n",
      "Processing Record 45 of Set 3 | saint-philippe\n",
      "Processing Record 46 of Set 3 | xalpatlahuac\n",
      "Processing Record 47 of Set 3 | nizhneyansk\n",
      "City not found. Skipping...\n",
      "Processing Record 48 of Set 3 | coihaique\n",
      "Processing Record 49 of Set 3 | catamarca\n",
      "Processing Record 50 of Set 3 | sitka\n",
      "Processing Record 1 of Set 4 | new norfolk\n",
      "Processing Record 2 of Set 4 | sanmenxia\n",
      "Processing Record 3 of Set 4 | acapulco\n",
      "Processing Record 4 of Set 4 | saleaula\n",
      "City not found. Skipping...\n",
      "Processing Record 5 of Set 4 | illoqqortoormiut\n",
      "City not found. Skipping...\n",
      "Processing Record 6 of Set 4 | cape town\n",
      "Processing Record 7 of Set 4 | camocim\n",
      "Processing Record 8 of Set 4 | flinders\n",
      "Processing Record 9 of Set 4 | novikovo\n",
      "Processing Record 10 of Set 4 | pisek\n",
      "Processing Record 11 of Set 4 | aswan\n",
      "Processing Record 12 of Set 4 | iskateley\n",
      "Processing Record 13 of Set 4 | amderma\n",
      "City not found. Skipping...\n",
      "Processing Record 14 of Set 4 | ahipara\n",
      "Processing Record 15 of Set 4 | puerto ayora\n",
      "Processing Record 16 of Set 4 | navalcarnero\n",
      "Processing Record 17 of Set 4 | lac du bonnet\n",
      "Processing Record 18 of Set 4 | hermanus\n",
      "Processing Record 19 of Set 4 | vaitupu\n",
      "City not found. Skipping...\n",
      "Processing Record 20 of Set 4 | qurayyat\n",
      "Processing Record 21 of Set 4 | inirida\n",
      "Processing Record 22 of Set 4 | saint-georges\n",
      "Processing Record 23 of Set 4 | georgetown\n",
      "Processing Record 24 of Set 4 | bambous virieux\n",
      "Processing Record 25 of Set 4 | pevek\n",
      "Processing Record 26 of Set 4 | luderitz\n",
      "Processing Record 27 of Set 4 | kiparissia\n",
      "City not found. Skipping...\n",
      "Processing Record 28 of Set 4 | sidi ali\n",
      "Processing Record 29 of Set 4 | leningradskiy\n",
      "Processing Record 30 of Set 4 | kargasok\n",
      "Processing Record 31 of Set 4 | upernavik\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Processing Record 32 of Set 4 | attawapiskat\n",
      "City not found. Skipping...\n",
      "Processing Record 33 of Set 4 | dikson\n",
      "Processing Record 34 of Set 4 | dunedin\n",
      "Processing Record 35 of Set 4 | airai\n",
      "Processing Record 36 of Set 4 | castlegar\n",
      "Processing Record 37 of Set 4 | pangnirtung\n",
      "Processing Record 38 of Set 4 | port-gentil\n",
      "Processing Record 39 of Set 4 | itaituba\n",
      "Processing Record 40 of Set 4 | kruisfontein\n",
      "Processing Record 41 of Set 4 | yeletskiy\n",
      "City not found. Skipping...\n",
      "Processing Record 42 of Set 4 | richards bay\n",
      "Processing Record 43 of Set 4 | alyangula\n",
      "Processing Record 44 of Set 4 | qandala\n",
      "Processing Record 45 of Set 4 | zhigansk\n",
      "Processing Record 46 of Set 4 | castelo do piaui\n",
      "Processing Record 47 of Set 4 | torbay\n",
      "Processing Record 48 of Set 4 | aklavik\n",
      "Processing Record 49 of Set 4 | durant\n",
      "Processing Record 50 of Set 4 | mount isa\n",
      "Processing Record 1 of Set 5 | esperance\n",
      "Processing Record 2 of Set 5 | rawannawi\n",
      "City not found. Skipping...\n",
      "Processing Record 3 of Set 5 | biak\n",
      "Processing Record 4 of Set 5 | beloha\n",
      "Processing Record 5 of Set 5 | oussouye\n",
      "Processing Record 6 of Set 5 | staryy nadym\n",
      "Processing Record 7 of Set 5 | chiang klang\n",
      "Processing Record 8 of Set 5 | gigmoto\n",
      "Processing Record 9 of Set 5 | byron bay\n",
      "Processing Record 10 of Set 5 | magura ilvei\n",
      "Processing Record 11 of Set 5 | nantucket\n",
      "Processing Record 12 of Set 5 | lebu\n",
      "Processing Record 13 of Set 5 | saint george\n",
      "Processing Record 14 of Set 5 | alofi\n",
      "Processing Record 15 of Set 5 | santiago del estero\n",
      "Processing Record 16 of Set 5 | nueva germania\n",
      "Processing Record 17 of Set 5 | hilo\n",
      "Processing Record 18 of Set 5 | berlevag\n",
      "Processing Record 19 of Set 5 | buta\n",
      "Processing Record 20 of Set 5 | plettenberg bay\n",
      "Processing Record 21 of Set 5 | umzimvubu\n",
      "City not found. Skipping...\n",
      "Processing Record 22 of Set 5 | ashiya\n",
      "Processing Record 23 of Set 5 | rexburg\n",
      "Processing Record 24 of Set 5 | necochea\n",
      "Processing Record 25 of Set 5 | taoudenni\n",
      "Processing Record 26 of Set 5 | havre-saint-pierre\n",
      "Processing Record 27 of Set 5 | samusu\n",
      "City not found. Skipping...\n",
      "Processing Record 28 of Set 5 | baruun-urt\n",
      "Processing Record 29 of Set 5 | yar-sale\n",
      "Processing Record 30 of Set 5 | port augusta\n",
      "Processing Record 31 of Set 5 | chumikan\n",
      "Processing Record 32 of Set 5 | okhotsk\n",
      "Processing Record 33 of Set 5 | saldanha\n",
      "Processing Record 34 of Set 5 | pisco\n",
      "Processing Record 35 of Set 5 | sarkand\n",
      "Processing Record 36 of Set 5 | idritsa\n",
      "Processing Record 37 of Set 5 | kalmunai\n",
      "Processing Record 38 of Set 5 | tutoia\n",
      "Processing Record 39 of Set 5 | hami\n",
      "Processing Record 40 of Set 5 | grand-lahou\n",
      "Processing Record 41 of Set 5 | asyut\n",
      "Processing Record 42 of Set 5 | abu samrah\n",
      "Processing Record 43 of Set 5 | axim\n",
      "Processing Record 44 of Set 5 | shu\n",
      "Processing Record 45 of Set 5 | brasileia\n",
      "Processing Record 46 of Set 5 | mayumba\n",
      "Processing Record 47 of Set 5 | alice springs\n",
      "Processing Record 48 of Set 5 | sao filipe\n",
      "Processing Record 49 of Set 5 | namtsy\n",
      "Processing Record 50 of Set 5 | villarrica\n",
      "Processing Record 1 of Set 6 | anadyr\n",
      "Processing Record 2 of Set 6 | saint anthony\n",
      "Processing Record 3 of Set 6 | longyearbyen\n",
      "Processing Record 4 of Set 6 | guilin\n",
      "Processing Record 5 of Set 6 | ribeira brava\n",
      "Processing Record 6 of Set 6 | tromso\n",
      "Processing Record 7 of Set 6 | neiafu\n",
      "Processing Record 8 of Set 6 | perelyub\n",
      "Processing Record 9 of Set 6 | hit\n",
      "Processing Record 10 of Set 6 | faanui\n",
      "Processing Record 11 of Set 6 | yulara\n",
      "Processing Record 12 of Set 6 | aykhal\n",
      "Processing Record 13 of Set 6 | rafraf\n",
      "Processing Record 14 of Set 6 | nyimba\n",
      "Processing Record 15 of Set 6 | aripuana\n",
      "Processing Record 16 of Set 6 | seymchan\n",
      "Processing Record 17 of Set 6 | mawlaik\n",
      "Processing Record 18 of Set 6 | abu kamal\n",
      "Processing Record 19 of Set 6 | makaha\n",
      "Processing Record 20 of Set 6 | tubinskiy\n",
      "Processing Record 21 of Set 6 | chokurdakh\n",
      "Processing Record 22 of Set 6 | alto araguaia\n",
      "Processing Record 23 of Set 6 | bayji\n",
      "Processing Record 24 of Set 6 | te anau\n",
      "Processing Record 25 of Set 6 | nanded\n",
      "City not found. Skipping...\n",
      "Processing Record 26 of Set 6 | altamont\n",
      "Processing Record 27 of Set 6 | chapais\n",
      "Processing Record 28 of Set 6 | sentyabrskiy\n",
      "City not found. Skipping...\n",
      "Processing Record 29 of Set 6 | hamina\n",
      "Processing Record 30 of Set 6 | oksfjord\n",
      "Processing Record 31 of Set 6 | sukabumi\n",
      "Processing Record 32 of Set 6 | namibe\n",
      "Processing Record 33 of Set 6 | ustek\n",
      "Processing Record 34 of Set 6 | mys shmidta\n",
      "City not found. Skipping...\n",
      "Processing Record 35 of Set 6 | plouzane\n",
      "Processing Record 36 of Set 6 | tsihombe\n",
      "City not found. Skipping...\n",
      "Processing Record 37 of Set 6 | labuhan\n",
      "Processing Record 38 of Set 6 | muros\n",
      "Processing Record 39 of Set 6 | olinda\n",
      "Processing Record 40 of Set 6 | kendari\n",
      "Processing Record 41 of Set 6 | kropotkin\n",
      "Processing Record 42 of Set 6 | souillac\n",
      "Processing Record 43 of Set 6 | karagay\n",
      "Processing Record 44 of Set 6 | chatrapur\n",
      "Processing Record 45 of Set 6 | ceres\n",
      "Processing Record 46 of Set 6 | rodrigues alves\n",
      "Processing Record 47 of Set 6 | imeni poliny osipenko\n",
      "Processing Record 48 of Set 6 | paita\n",
      "Processing Record 49 of Set 6 | chilca\n",
      "Processing Record 50 of Set 6 | santa cruz de la palma\n",
      "Processing Record 1 of Set 7 | sangar\n",
      "Processing Record 2 of Set 7 | stornoway\n",
      "Processing Record 3 of Set 7 | baglung\n",
      "Processing Record 4 of Set 7 | narsaq\n",
      "Processing Record 5 of Set 7 | marzuq\n",
      "Processing Record 6 of Set 7 | sambava\n",
      "Processing Record 7 of Set 7 | kupang\n",
      "Processing Record 8 of Set 7 | camacupa\n",
      "Processing Record 9 of Set 7 | tiradentes\n",
      "Processing Record 10 of Set 7 | tilichiki\n",
      "Processing Record 11 of Set 7 | batagay-alyta\n",
      "Processing Record 12 of Set 7 | viligili\n",
      "City not found. Skipping...\n",
      "Processing Record 13 of Set 7 | tuatapere\n",
      "Processing Record 14 of Set 7 | samarai\n",
      "Processing Record 15 of Set 7 | burica\n",
      "City not found. Skipping...\n",
      "Processing Record 16 of Set 7 | vao\n",
      "Processing Record 17 of Set 7 | trinidad\n",
      "Processing Record 18 of Set 7 | amboasary\n",
      "Processing Record 19 of Set 7 | pitimbu\n",
      "Processing Record 20 of Set 7 | ancud\n",
      "Processing Record 21 of Set 7 | huarmey\n",
      "Processing Record 22 of Set 7 | derzhavinsk\n",
      "Processing Record 23 of Set 7 | warqla\n",
      "City not found. Skipping...\n",
      "Processing Record 24 of Set 7 | tafalla\n",
      "Processing Record 25 of Set 7 | hillsborough\n",
      "Processing Record 26 of Set 7 | san patricio\n",
      "Processing Record 27 of Set 7 | isangel\n",
      "Processing Record 28 of Set 7 | calama\n",
      "Processing Record 29 of Set 7 | bonthe\n",
      "Processing Record 30 of Set 7 | caravelas\n",
      "Processing Record 31 of Set 7 | san juan\n",
      "Processing Record 32 of Set 7 | constitucion\n",
      "Processing Record 33 of Set 7 | balaipungut\n",
      "Processing Record 34 of Set 7 | kalashnikovo\n",
      "Processing Record 35 of Set 7 | marsh harbour\n",
      "Processing Record 36 of Set 7 | bacuit\n",
      "City not found. Skipping...\n",
      "Processing Record 37 of Set 7 | treinta y tres\n",
      "Processing Record 38 of Set 7 | izhma\n",
      "Processing Record 39 of Set 7 | barentsburg\n",
      "City not found. Skipping...\n",
      "Processing Record 40 of Set 7 | buchanan\n",
      "Processing Record 41 of Set 7 | mizque\n",
      "Processing Record 42 of Set 7 | ondangwa\n",
      "Processing Record 43 of Set 7 | san jeronimo\n",
      "Processing Record 44 of Set 7 | akureyri\n",
      "Processing Record 45 of Set 7 | qasigiannguit\n",
      "Processing Record 46 of Set 7 | iracoubo\n",
      "Processing Record 47 of Set 7 | sicuani\n",
      "Processing Record 48 of Set 7 | asau\n",
      "Processing Record 49 of Set 7 | uruzgan\n",
      "Processing Record 50 of Set 7 | hasaki\n",
      "Processing Record 1 of Set 8 | buraydah\n",
      "Processing Record 2 of Set 8 | roald\n",
      "Processing Record 3 of Set 8 | sal rei\n",
      "Processing Record 4 of Set 8 | krasyliv\n",
      "Processing Record 5 of Set 8 | cockburn town\n",
      "Processing Record 6 of Set 8 | altus\n",
      "Processing Record 7 of Set 8 | fairbanks\n",
      "Processing Record 8 of Set 8 | springdale\n",
      "Processing Record 9 of Set 8 | moree\n",
      "Processing Record 10 of Set 8 | clyde river\n",
      "Processing Record 11 of Set 8 | san quintin\n",
      "Processing Record 12 of Set 8 | ribeira grande\n",
      "Processing Record 13 of Set 8 | husavik\n",
      "Processing Record 14 of Set 8 | tautira\n",
      "Processing Record 15 of Set 8 | lubu\n",
      "Processing Record 16 of Set 8 | bakchar\n",
      "Processing Record 17 of Set 8 | cherskiy\n",
      "Processing Record 18 of Set 8 | novobirilyussy\n",
      "Processing Record 19 of Set 8 | grand river south east\n",
      "City not found. Skipping...\n",
      "Processing Record 20 of Set 8 | avera\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Processing Record 21 of Set 8 | asamankese\n",
      "Processing Record 22 of Set 8 | westport\n",
      "Processing Record 23 of Set 8 | belaya gora\n",
      "Processing Record 24 of Set 8 | meyungs\n",
      "City not found. Skipping...\n",
      "Processing Record 25 of Set 8 | mount gambier\n",
      "Processing Record 26 of Set 8 | rio grande\n",
      "Processing Record 27 of Set 8 | zhuanghe\n",
      "Processing Record 28 of Set 8 | suzhou\n",
      "Processing Record 29 of Set 8 | doha\n",
      "Processing Record 30 of Set 8 | wagar\n",
      "Processing Record 31 of Set 8 | malanje\n",
      "Processing Record 32 of Set 8 | nizwa\n",
      "Processing Record 33 of Set 8 | bereda\n",
      "Processing Record 34 of Set 8 | fort pierce\n",
      "Processing Record 35 of Set 8 | caxias\n",
      "Processing Record 36 of Set 8 | gujar khan\n",
      "Processing Record 37 of Set 8 | mareeba\n",
      "Processing Record 38 of Set 8 | itarema\n",
      "Processing Record 39 of Set 8 | tumannyy\n",
      "City not found. Skipping...\n",
      "Processing Record 40 of Set 8 | grindavik\n",
      "Processing Record 41 of Set 8 | meulaboh\n",
      "Processing Record 42 of Set 8 | northam\n",
      "Processing Record 43 of Set 8 | fukue\n",
      "Processing Record 44 of Set 8 | pangkalanbuun\n",
      "Processing Record 45 of Set 8 | agadez\n",
      "Processing Record 46 of Set 8 | jamiltepec\n",
      "Processing Record 47 of Set 8 | gijon\n",
      "Processing Record 48 of Set 8 | victoria\n",
      "Processing Record 49 of Set 8 | bogorodskoye\n",
      "Processing Record 50 of Set 8 | along\n",
      "Processing Record 1 of Set 9 | jijiga\n",
      "Processing Record 2 of Set 9 | ust-maya\n",
      "Processing Record 3 of Set 9 | jerome\n",
      "Processing Record 4 of Set 9 | santa flavia\n",
      "Processing Record 5 of Set 9 | qaqortoq\n",
      "Processing Record 6 of Set 9 | nouakchott\n",
      "Processing Record 7 of Set 9 | challans\n",
      "Processing Record 8 of Set 9 | puerto el triunfo\n",
      "Processing Record 9 of Set 9 | ucluelet\n",
      "Processing Record 10 of Set 9 | dunmore east\n",
      "Processing Record 11 of Set 9 | ahuimanu\n",
      "Processing Record 12 of Set 9 | jiayuguan\n",
      "Processing Record 13 of Set 9 | valparaiso\n",
      "Processing Record 14 of Set 9 | hanchuan\n",
      "Processing Record 15 of Set 9 | olafsvik\n",
      "Processing Record 16 of Set 9 | verkhoyansk\n",
      "Processing Record 17 of Set 9 | tambilil\n",
      "Processing Record 18 of Set 9 | hofn\n",
      "Processing Record 19 of Set 9 | haines junction\n",
      "Processing Record 20 of Set 9 | ruatoria\n",
      "City not found. Skipping...\n",
      "Processing Record 21 of Set 9 | omaruru\n",
      "Processing Record 22 of Set 9 | san carlos de bariloche\n",
      "Processing Record 23 of Set 9 | okha\n",
      "Processing Record 24 of Set 9 | sechura\n",
      "Processing Record 25 of Set 9 | yegorlykskaya\n",
      "Processing Record 26 of Set 9 | namatanai\n",
      "Processing Record 27 of Set 9 | shar\n",
      "Processing Record 28 of Set 9 | juneau\n",
      "Processing Record 29 of Set 9 | phu ly\n",
      "Processing Record 30 of Set 9 | halifax\n",
      "Processing Record 31 of Set 9 | palmer\n",
      "Processing Record 32 of Set 9 | hailun\n",
      "Processing Record 33 of Set 9 | nome\n",
      "Processing Record 34 of Set 9 | altay\n",
      "Processing Record 35 of Set 9 | katsuura\n",
      "Processing Record 36 of Set 9 | buala\n",
      "Processing Record 37 of Set 9 | osterhofen\n",
      "Processing Record 38 of Set 9 | canandaigua\n",
      "Processing Record 39 of Set 9 | hakkari\n",
      "Processing Record 40 of Set 9 | mandalgovi\n",
      "Processing Record 41 of Set 9 | phan thiet\n",
      "Processing Record 42 of Set 9 | wamba\n",
      "Processing Record 43 of Set 9 | tawkar\n",
      "City not found. Skipping...\n",
      "Processing Record 44 of Set 9 | payson\n",
      "Processing Record 45 of Set 9 | sur\n",
      "Processing Record 46 of Set 9 | birjand\n",
      "Processing Record 47 of Set 9 | nuuk\n",
      "Processing Record 48 of Set 9 | bure\n",
      "Processing Record 49 of Set 9 | george\n",
      "Processing Record 50 of Set 9 | puerto colombia\n",
      "Processing Record 1 of Set 10 | mrirt\n",
      "City not found. Skipping...\n",
      "Processing Record 2 of Set 10 | soma\n",
      "Processing Record 3 of Set 10 | sept-iles\n",
      "Processing Record 4 of Set 10 | lensk\n",
      "Processing Record 5 of Set 10 | anshun\n",
      "Processing Record 6 of Set 10 | sampit\n",
      "Processing Record 7 of Set 10 | sinop\n",
      "Processing Record 8 of Set 10 | aksu\n",
      "Processing Record 9 of Set 10 | ayan\n",
      "Processing Record 10 of Set 10 | korla\n",
      "Processing Record 11 of Set 10 | dukat\n",
      "Processing Record 12 of Set 10 | torit\n",
      "Processing Record 13 of Set 10 | luau\n",
      "Processing Record 14 of Set 10 | conakry\n",
      "Processing Record 15 of Set 10 | krasnoselkup\n",
      "Processing Record 16 of Set 10 | lompoc\n",
      "Processing Record 17 of Set 10 | redlands\n",
      "Processing Record 18 of Set 10 | jacareacanga\n",
      "Processing Record 19 of Set 10 | pandan\n",
      "Processing Record 20 of Set 10 | bojnurd\n",
      "Processing Record 21 of Set 10 | chagda\n",
      "City not found. Skipping...\n",
      "Processing Record 22 of Set 10 | caranavi\n",
      "Processing Record 23 of Set 10 | sao joao da barra\n",
      "Processing Record 24 of Set 10 | honiara\n",
      "Processing Record 25 of Set 10 | todos santos\n",
      "Processing Record 26 of Set 10 | tyler\n",
      "Processing Record 27 of Set 10 | palabuhanratu\n",
      "City not found. Skipping...\n",
      "Processing Record 28 of Set 10 | muroto\n",
      "Processing Record 29 of Set 10 | pospelikha\n",
      "Processing Record 30 of Set 10 | erzin\n",
      "Processing Record 31 of Set 10 | kloulklubed\n",
      "Processing Record 32 of Set 10 | victoria point\n",
      "Processing Record 33 of Set 10 | hambantota\n",
      "Processing Record 34 of Set 10 | paraiso\n",
      "Processing Record 35 of Set 10 | syracuse\n",
      "Processing Record 36 of Set 10 | hirara\n",
      "Processing Record 37 of Set 10 | malwan\n",
      "City not found. Skipping...\n",
      "Processing Record 38 of Set 10 | pochutla\n",
      "Processing Record 39 of Set 10 | port hardy\n",
      "Processing Record 40 of Set 10 | noumea\n",
      "Processing Record 41 of Set 10 | killybegs\n",
      "Processing Record 42 of Set 10 | simao\n",
      "Processing Record 43 of Set 10 | lloydminster\n",
      "Processing Record 44 of Set 10 | mogok\n",
      "Processing Record 45 of Set 10 | totma\n",
      "Processing Record 46 of Set 10 | kibala\n",
      "Processing Record 47 of Set 10 | chifeng\n",
      "Processing Record 48 of Set 10 | talnakh\n",
      "Processing Record 49 of Set 10 | naze\n",
      "Processing Record 50 of Set 10 | demyansk\n",
      "Processing Record 1 of Set 11 | doka\n",
      "Processing Record 2 of Set 11 | janovice nad uhlavou\n",
      "Processing Record 3 of Set 11 | rundu\n",
      "Processing Record 4 of Set 11 | codajas\n",
      "Processing Record 5 of Set 11 | bam\n",
      "Processing Record 6 of Set 11 | karaul\n",
      "City not found. Skipping...\n",
      "Processing Record 7 of Set 11 | bangalore\n",
      "Processing Record 8 of Set 11 | moranbah\n",
      "Processing Record 9 of Set 11 | lanzhou\n",
      "Processing Record 10 of Set 11 | majene\n",
      "Processing Record 11 of Set 11 | santa maria ixhuatan\n",
      "Processing Record 12 of Set 11 | mao\n",
      "Processing Record 13 of Set 11 | jizan\n",
      "Processing Record 14 of Set 11 | povenets\n",
      "Processing Record 15 of Set 11 | grenville\n",
      "Processing Record 16 of Set 11 | karauzyak\n",
      "City not found. Skipping...\n",
      "Processing Record 17 of Set 11 | ewa beach\n",
      "Processing Record 18 of Set 11 | pacific grove\n",
      "Processing Record 19 of Set 11 | coquimbo\n",
      "Processing Record 20 of Set 11 | port macquarie\n",
      "Processing Record 21 of Set 11 | windhoek\n",
      "Processing Record 22 of Set 11 | farso\n",
      "Processing Record 23 of Set 11 | luena\n",
      "Processing Record 24 of Set 11 | debno\n",
      "Processing Record 25 of Set 11 | poros\n",
      "Processing Record 26 of Set 11 | sala\n",
      "Processing Record 27 of Set 11 | puerto madryn\n",
      "Processing Record 28 of Set 11 | manado\n",
      "Processing Record 29 of Set 11 | kavieng\n",
      "Processing Record 30 of Set 11 | pontes e lacerda\n",
      "Processing Record 31 of Set 11 | baie-comeau\n",
      "Processing Record 32 of Set 11 | skjervoy\n",
      "Processing Record 33 of Set 11 | puerto carreno\n",
      "Processing Record 34 of Set 11 | riviere-au-renard\n",
      "Processing Record 35 of Set 11 | calbuco\n",
      "Processing Record 36 of Set 11 | kieta\n",
      "Processing Record 37 of Set 11 | belmonte\n",
      "Processing Record 38 of Set 11 | lar\n",
      "Processing Record 39 of Set 11 | tulsipur\n",
      "Processing Record 40 of Set 11 | bara\n",
      "Processing Record 41 of Set 11 | aflu\n",
      "City not found. Skipping...\n",
      "Processing Record 42 of Set 11 | lokosovo\n",
      "Processing Record 43 of Set 11 | nelson bay\n",
      "Processing Record 44 of Set 11 | valdivia\n",
      "Processing Record 45 of Set 11 | almaznyy\n",
      "Processing Record 46 of Set 11 | the valley\n",
      "Processing Record 47 of Set 11 | canutama\n",
      "Processing Record 48 of Set 11 | ulladulla\n",
      "Processing Record 49 of Set 11 | oktyabrskiy\n",
      "Processing Record 50 of Set 11 | butembo\n",
      "Processing Record 1 of Set 12 | choconta\n",
      "Processing Record 2 of Set 12 | mercedes\n",
      "Processing Record 3 of Set 12 | moose factory\n",
      "Processing Record 4 of Set 12 | hamilton\n",
      "Processing Record 5 of Set 12 | rio cuarto\n",
      "Processing Record 6 of Set 12 | uttarkashi\n",
      "Processing Record 7 of Set 12 | gombe\n",
      "Processing Record 8 of Set 12 | adrar\n",
      "Processing Record 9 of Set 12 | zyryanka\n",
      "Processing Record 10 of Set 12 | dabakala\n",
      "Processing Record 11 of Set 12 | padang\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Processing Record 12 of Set 12 | lasa\n",
      "Processing Record 13 of Set 12 | egvekinot\n",
      "Processing Record 14 of Set 12 | tekirdag\n",
      "Processing Record 15 of Set 12 | khrebtovaya\n",
      "Processing Record 16 of Set 12 | angoche\n",
      "Processing Record 17 of Set 12 | margate\n",
      "Processing Record 18 of Set 12 | san lawrenz\n",
      "Processing Record 19 of Set 12 | alabaster\n",
      "Processing Record 20 of Set 12 | hay river\n",
      "Processing Record 21 of Set 12 | ixtapa\n",
      "Processing Record 22 of Set 12 | nemuro\n",
      "Processing Record 23 of Set 12 | khangarh\n",
      "Processing Record 24 of Set 12 | geraldton\n",
      "Processing Record 25 of Set 12 | morrope\n",
      "Processing Record 26 of Set 12 | port lincoln\n",
      "Processing Record 27 of Set 12 | gravdal\n",
      "Processing Record 28 of Set 12 | tarakan\n",
      "Processing Record 29 of Set 12 | san juan de la maguana\n",
      "Processing Record 30 of Set 12 | waidhofen\n",
      "Processing Record 31 of Set 12 | alotenango\n",
      "Processing Record 32 of Set 12 | tefe\n",
      "Processing Record 33 of Set 12 | nishihara\n",
      "Processing Record 34 of Set 12 | makakilo city\n",
      "Processing Record 35 of Set 12 | el vigia\n",
      "Processing Record 36 of Set 12 | walvis bay\n",
      "Processing Record 37 of Set 12 | tallahassee\n",
      "Processing Record 38 of Set 12 | rungata\n",
      "City not found. Skipping...\n",
      "Processing Record 39 of Set 12 | beisfjord\n",
      "Processing Record 40 of Set 12 | yakima\n",
      "Processing Record 41 of Set 12 | kidal\n",
      "Processing Record 42 of Set 12 | klimovo\n",
      "Processing Record 43 of Set 12 | dolbeau\n",
      "City not found. Skipping...\n",
      "Processing Record 44 of Set 12 | puerto asis\n",
      "Processing Record 45 of Set 12 | waingapu\n",
      "Processing Record 46 of Set 12 | trairi\n",
      "Processing Record 47 of Set 12 | hihifo\n",
      "City not found. Skipping...\n",
      "Processing Record 48 of Set 12 | canyon\n",
      "Processing Record 49 of Set 12 | mildura\n",
      "Processing Record 50 of Set 12 | ojinaga\n",
      "Processing Record 1 of Set 13 | funadhoo\n",
      "Processing Record 2 of Set 13 | uhlove\n",
      "Processing Record 3 of Set 13 | indramayu\n",
      "Processing Record 4 of Set 13 | maarianhamina\n",
      "Processing Record 5 of Set 13 | black river\n",
      "Processing Record 6 of Set 13 | half moon bay\n",
      "Processing Record 7 of Set 13 | bubaque\n",
      "Processing Record 8 of Set 13 | la paz\n",
      "Processing Record 9 of Set 13 | tunxi\n",
      "City not found. Skipping...\n",
      "Processing Record 10 of Set 13 | faya\n",
      "Processing Record 11 of Set 13 | sao felix do xingu\n",
      "Processing Record 12 of Set 13 | tocopilla\n",
      "Processing Record 13 of Set 13 | sao caetano de odivelas\n",
      "Processing Record 14 of Set 13 | poum\n",
      "Processing Record 15 of Set 13 | saint-paul\n",
      "Processing Record 16 of Set 13 | paamiut\n",
      "Processing Record 17 of Set 13 | west wendover\n",
      "Processing Record 18 of Set 13 | port hedland\n",
      "Processing Record 19 of Set 13 | ostrovskoye\n",
      "Processing Record 20 of Set 13 | lolua\n",
      "City not found. Skipping...\n",
      "Processing Record 21 of Set 13 | luanda\n",
      "Processing Record 22 of Set 13 | puerto narino\n",
      "Processing Record 23 of Set 13 | shemgang\n",
      "Processing Record 24 of Set 13 | bambanglipuro\n",
      "Processing Record 25 of Set 13 | muyezerskiy\n",
      "Processing Record 26 of Set 13 | wanaka\n",
      "Processing Record 27 of Set 13 | salalah\n",
      "Processing Record 28 of Set 13 | bila tserkva\n",
      "Processing Record 29 of Set 13 | pyshma\n",
      "Processing Record 30 of Set 13 | mackay\n",
      "Processing Record 31 of Set 13 | san cristobal\n",
      "Processing Record 32 of Set 13 | roma\n",
      "Processing Record 33 of Set 13 | nurota\n",
      "Processing Record 34 of Set 13 | manjakandriana\n",
      "Processing Record 35 of Set 13 | nueva loja\n",
      "Processing Record 36 of Set 13 | canals\n",
      "Processing Record 37 of Set 13 | comodoro rivadavia\n",
      "Processing Record 38 of Set 13 | vila velha\n",
      "Processing Record 39 of Set 13 | nacala\n",
      "------------------------------------------------\n",
      "Data Retrieval Complete\n",
      "------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "# List for holding reponse information\n",
    "lat = []\n",
    "temp = []\n",
    "temp_max = []\n",
    "humidity = []\n",
    "wind_speed = []\n",
    "lon = []\n",
    "date = []\n",
    "country = []\n",
    "cloudiness = []\n",
    "\n",
    "\n",
    "# Loop through the list of cities and request for data on each\n",
    "print(\"Beginning Data Retrieval\")\n",
    "print(\"--------------------------------------------\")\n",
    "count = 0\n",
    "set = 1\n",
    "for idx, city in enumerate(cities):\n",
    "    count = count + 1\n",
    "    # To avoid api call rate limits, get city weather data for 50 cities,\n",
    "    # then sleep for 5 seconds, and then continue with next 50 cities and so on...\n",
    "    if count == 51:\n",
    "        count = 1\n",
    "        set = set + 1\n",
    "        time.sleep(5)\n",
    "    print(f\"Processing Record {count} of Set {set} | {city}\")\n",
    "    try:\n",
    "        response = requests.get(query_url + city).json()\n",
    "        lat.append(response['coord']['lat'])\n",
    "        lon.append(response['coord']['lon'])\n",
    "        temp.append(response['main']['temp'])\n",
    "        temp_max.append(response['main']['temp_max'])\n",
    "        humidity.append(response['main']['humidity'])\n",
    "        wind_speed.append(response['wind']['speed'])\n",
    "        date.append(response['dt'])\n",
    "        country.append(response['sys']['country'])\n",
    "        cloudiness.append(response['clouds']['all'])\n",
    "    except KeyError:\n",
    "        print(\"City not found. Skipping...\")\n",
    "        lat.append(np.nan)\n",
    "        lon.append(np.nan)\n",
    "        temp.append(np.nan)\n",
    "        temp_max.append(np.nan)\n",
    "        humidity.append(np.nan)\n",
    "        wind_speed.append(np.nan)\n",
    "        date.append(np.nan)\n",
    "        country.append(np.nan)\n",
    "        cloudiness.append(np.nan)\n",
    "print(\"------------------------------------------------\")\n",
    "print(\"Data Retrieval Complete\")\n",
    "print(\"------------------------------------------------\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "639"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Length of Latitude and Temprature\n",
    "\n",
    "len(lat)\n",
    "len(temp)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Convert Raw Data to DataFrame\n",
    "* Export the city data into a .csv.\n",
    "* Display the DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "City          585\n",
      "Lat           585\n",
      "lng           585\n",
      "Max Temp      585\n",
      "Humidity      585\n",
      "Cloudiness    585\n",
      "Wind Speed    585\n",
      "Country       585\n",
      "Date          585\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "# Convert raw data to dataframe.\n",
    "city_weather_df = pd.DataFrame({\n",
    "    \"City\": cities,\n",
    "    \"Lat\": lat,\n",
    "    \"lng\": lon,\n",
    "    \"Max Temp\": temp_max,\n",
    "    \"Humidity\": humidity,\n",
    "    \"Cloudiness\": cloudiness,\n",
    "    \"Wind Speed\": wind_speed,\n",
    "    \"Country\": country,\n",
    "    \"Date\": date,\n",
    "})\n",
    "\n",
    "# Drop any cities that were skipped because they could not be found using the OpenWeatherMap API.\n",
    "city_weather_df = city_weather_df.dropna(how=\"any\")\n",
    "print(city_weather_df.count())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "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>City</th>\n",
       "      <th>Lat</th>\n",
       "      <th>lng</th>\n",
       "      <th>Max Temp</th>\n",
       "      <th>Humidity</th>\n",
       "      <th>Cloudiness</th>\n",
       "      <th>Wind Speed</th>\n",
       "      <th>Country</th>\n",
       "      <th>Date</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>severo-kurilsk</td>\n",
       "      <td>50.68</td>\n",
       "      <td>156.12</td>\n",
       "      <td>50.49</td>\n",
       "      <td>78.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>11.39</td>\n",
       "      <td>RU</td>\n",
       "      <td>1.592884e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>vaini</td>\n",
       "      <td>-21.20</td>\n",
       "      <td>-175.20</td>\n",
       "      <td>78.80</td>\n",
       "      <td>78.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>10.29</td>\n",
       "      <td>TO</td>\n",
       "      <td>1.592884e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>cidreira</td>\n",
       "      <td>-30.18</td>\n",
       "      <td>-50.21</td>\n",
       "      <td>64.44</td>\n",
       "      <td>92.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>16.89</td>\n",
       "      <td>BR</td>\n",
       "      <td>1.592884e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>kalmar</td>\n",
       "      <td>56.66</td>\n",
       "      <td>16.36</td>\n",
       "      <td>55.99</td>\n",
       "      <td>100.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.36</td>\n",
       "      <td>SE</td>\n",
       "      <td>1.592884e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>merauke</td>\n",
       "      <td>-8.47</td>\n",
       "      <td>140.33</td>\n",
       "      <td>81.84</td>\n",
       "      <td>76.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>17.05</td>\n",
       "      <td>ID</td>\n",
       "      <td>1.592884e+09</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             City    Lat     lng  Max Temp  Humidity  Cloudiness  Wind Speed  \\\n",
       "0  severo-kurilsk  50.68  156.12     50.49      78.0       100.0       11.39   \n",
       "1           vaini -21.20 -175.20     78.80      78.0        40.0       10.29   \n",
       "2        cidreira -30.18  -50.21     64.44      92.0         5.0       16.89   \n",
       "3          kalmar  56.66   16.36     55.99     100.0         0.0        3.36   \n",
       "4         merauke  -8.47  140.33     81.84      76.0        20.0       17.05   \n",
       "\n",
       "  Country          Date  \n",
       "0      RU  1.592884e+09  \n",
       "1      TO  1.592884e+09  \n",
       "2      BR  1.592884e+09  \n",
       "3      SE  1.592884e+09  \n",
       "4      ID  1.592884e+09  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Export the city data into a .csv file.\n",
    "city_weather_df.to_csv(\"./output_data/city_weather_data.csv\", index=False)\n",
    "\n",
    "# Display the DataFrame\n",
    "weather_df = pd.read_csv(\"./output_data/city_weather_data.csv\")\n",
    "\n",
    "weather_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inspect the data and remove the cities where the humidity > 100%.\n",
    "----\n",
    "This section is skiped Because no cities that have humidity > 100%. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting the Data\n",
    "* Use proper labeling of the plots using plot titles (including date of analysis) and axes labels.\n",
    "* Save the plotted figures as .pngs."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Latitude vs. Temperature Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "date_time = datetime.date(datetime.now())\n",
    "# Create a scatter plot for latitude vs max temperature.\n",
    "x_values = weather_df['Lat']\n",
    "y_values = weather_df['Max Temp']\n",
    "fig1, ax1 = plt.subplots(figsize=(10,8))\n",
    "plt.scatter(x_values, y_values,alpha = 0.80, edgecolors = \"k\", linewidths = 1)\n",
    "plt.xlabel('Latitude')\n",
    "plt.ylabel('Max Temperature (F)')\n",
    "plt.title(f\"City Latitude vs Max Temperature {date_time}\")\n",
    "plt.grid()\n",
    "plt.savefig(\"./output_data/latitude_vs_temperature.png\", bbox_inches=\"tight\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above scatter plot showcase the relationship between Latitude at x-axis vs Max Temperature (F) at the y-axis. This result indicates that there is a higher temrature for the cities that found near to the equater (Latitude 0),however when you go farther from the equator towrads to the north and soutt the temprature will decrease."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Latitude vs. Humidity Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs humidity.\n",
    "x_values = weather_df['Lat']\n",
    "y_values = weather_df['Humidity']\n",
    "fig1, ax1 = plt.subplots(figsize=(10, 8))\n",
    "plt.scatter(x_values, y_values,alpha = 0.80, edgecolors = \"k\", linewidths = 1)\n",
    "plt.xlabel('Latitude')\n",
    "plt.ylabel('Humidity (%)')\n",
    "plt.title(f'City Latitude vs Humidity {date_time}')\n",
    "plt.grid()\n",
    "plt.savefig(\"./output_data/latitude_vs_humidity.png\", bbox_inches=\"tight\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above scatter plot displayed the relationship between Humidity (%) vs. Latitude.From the result we can infer that humidity is fairly distributed troughout the plot, so we can say that high humidity occer for both cities found farther or near to the equator."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Latitude vs. Cloudiness Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs cloudiness.\n",
    "x_values = weather_df['Lat']\n",
    "y_values = weather_df['Cloudiness']\n",
    "fig1, ax1 = plt.subplots(figsize=(10,8))\n",
    "plt.scatter(x_values, y_values,alpha = 0.80, edgecolors = \"k\", linewidths = 1)\n",
    "plt.xlabel('Latitude')\n",
    "plt.ylabel('Cloudiness (%)')\n",
    "plt.title(f'City Latitude vs Cloudiness {date_time}')\n",
    "plt.grid()\n",
    "plt.savefig(\"./output_data/latitude_vs_cloudiness.png\", bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above scatter plot showed the relationship between the cities cloudness, and latitude. From this result we can tell that the data is evenly distributed, and there is no difference in Cloudiness when the cities farther or nearer to the equater(Latitude 0)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Latitude vs. Wind Speed Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs wind speed.\n",
    "x_values = weather_df['Lat']\n",
    "y_values = weather_df['Wind Speed']\n",
    "fig1, ax1 = plt.subplots(figsize=(10,8))\n",
    "plt.scatter(x_values, y_values,alpha = 0.80, edgecolors = \"k\", linewidths = 1)\n",
    "plt.xlabel('Latitude')\n",
    "plt.ylabel('Wind Speed (mph)')\n",
    "plt.title(f'City Latitude vs Wind Speed {date_time}')\n",
    "plt.grid()\n",
    "plt.savefig(\"./output_data/latitude_vs_wind_speed.png\", bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above scatter plot showed the relationship between wind speed (mph), and latitude. The plot displayed the lower wind speed when the cities closer to the equater (latitude 0) and somehow the wind speed increase for the cities farther from the equater."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# OPTIONAL: Create a function to create Linear Regression plots\n",
    "def createLinearRegressionPlot(x_values, y_values, x_label, y_label, hemisphere, line_placement, ylim=None):\n",
    "    (slope, intercept, rvalue, pvalue, stderr) = linregress(x_values, y_values)\n",
    "\n",
    "    # Get regression values\n",
    "    regress_values = x_values * slope + intercept\n",
    "    \n",
    "    # Create line equation string\n",
    "    line_eq = \"y = \" + str(round(slope,2)) + \"x +\" + str(round(intercept,2))\n",
    "    fig1, ax1 = plt.subplots(figsize=(10,8))\n",
    "    plt.scatter(x_values, y_values,alpha = 0.80, edgecolors = \"k\", linewidths = 1)\n",
    "    plt.xlabel(x_label,fontsize = 14)\n",
    "    plt.ylabel(y_label,fontsize = 14)\n",
    "    if ylim is not None:\n",
    "        plt.ylim(0, ylim)\n",
    "    today = datetime.date(datetime.now())\n",
    "    plt.title(f\"{hemisphere} Hemisphere - {x_label} vs {y_label} {today}\",fontsize = 15)\n",
    "    plt.annotate(line_eq,xy=(10, 50),fontsize=22,xycoords='data',xytext=(0.4, 0.4), textcoords='axes fraction',horizontalalignment='right', verticalalignment='top',color=\"red\")\n",
    "    plt.annotate(line_eq,xy=(-50, 40),fontsize=22,xycoords='data',xytext=(0.4, 0.3), textcoords='axes fraction',horizontalalignment='right', verticalalignment='top',color=\"red\")\n",
    "    plt.annotate(line_eq,xy=(10, 25),fontsize=22,xycoords='data',xytext=(0.4, 0.4), textcoords='axes fraction',horizontalalignment='right', verticalalignment='top',color=\"red\")\n",
    "    # Print r square value\n",
    "    print(f\"The r-squared is: {rvalue**2}\")\n",
    "    correlation = st.pearsonr(x_values,y_values)\n",
    "    print(f\"The correlation between both factors is {round(correlation[0],2)}\")\n",
    "    return plt.plot(x_values,regress_values,\"r-\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create Northern and Southern Hemisphere DataFrames\n",
    "\n",
    "northern_hemisphere_weather_df = weather_df.loc[weather_df[\"Lat\"] >= 0]\n",
    "southern_hemisphere_weather_df = weather_df.loc[weather_df[\"Lat\"] < 0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Northern Hemisphere - Max Temp vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is: 0.430773149999661\n",
      "The correlation between both factors is -0.66\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs max temp (northern hemisphere)\n",
    "x_values = northern_hemisphere_weather_df['Lat']\n",
    "y_values = northern_hemisphere_weather_df['Max Temp']\n",
    "createLinearRegressionPlot(x_values, y_values, \"Lat\", \"Max Temp (F)\", \"Northern\",(0, 0))\n",
    "plt.savefig(\"./output_data/Northern_Hemisphere_Max_lat_lin.png\", bbox_inches=\"tight\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above plot is a linear regression model between Maximum tempreture and latitude for Northern Hemisphere cities. The result from the data showed that there is a strong, negative correlation between Maximum tempreture and latitude. These means when we go farther away from the equater(latitude 0) the maximum Temperature (F) will decrease. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Southern Hemisphere - Max Temp vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is: 0.0022767336118374466\n",
      "The correlation between both factors is -0.05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs cloudiness (southern hemisphere)\n",
    "x_values = southern_hemisphere_weather_df['Lat']\n",
    "y_values = southern_hemisphere_weather_df['Cloudiness']\n",
    "createLinearRegressionPlot(x_values, y_values, \"Latitude\", \"Cloudiness(%)\", \"Southern\",(-45, 60))\n",
    "\n",
    "plt.savefig(\"./output_data/southern_Hemisphere_Max_lat_lin.png\", bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above plot is a linear regression model between Maximum tempreture and latitude for Southern Hemisphere cities. The result from the data showed that there is a very week almost none negative correlation between Maximum Tempreture and latitude in the Southern Hemisphere cities."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Northern Hemisphere - Humidity (%) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is: 0.0026924601243572105\n",
      "The correlation between both factors is -0.05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs humditiy (northern hemisphere)\n",
    "x_values = northern_hemisphere_weather_df['Lat']\n",
    "y_values = northern_hemisphere_weather_df['Humidity']\n",
    "createLinearRegressionPlot(x_values, y_values, \"Latitude\", \"Humidity (%)\", \"Northern\",(40, 20))\n",
    "plt.savefig(\"./output_data/Northern_Hemisphere_Humidity_Latitude_Linear.png\", bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above plot is a linear regression model between Humidity (%) and Latitude for Northern Hemisphere cities. The result from the data showed that there is a very week negative correlation between Humidity (%) and Latitude in the Northern Hemisphere cities."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Southern Hemisphere - Humidity (%) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is: 0.0026924601243572105\n",
      "The correlation between both factors is -0.05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs humditiy (southern hemisphere)\n",
    "x_values1 = southern_hemisphere_weather_df['Lat']\n",
    "y_values1 = southern_hemisphere_weather_df['Humidity']\n",
    "createLinearRegressionPlot(x_values, y_values, \"Latitude\", \"Humidity (%)\", \"Southern\",(40, 20), 150)\n",
    "plt.savefig(\"./output_data/southern_humudity_Hemisphere_Max_lat_lin.png\", bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above plot is a linear regression model between Humidity (%) and Latitude for Southern Hemisphere cities. The result from the data showed that there is a very week, almost none negative correlation between Humidity (%) and Latitude in the Southern Hemisphere cities."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Northern Hemisphere - Cloudiness (%) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is: 0.004772807202547001\n",
      "The correlation between both factors is -0.07\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs cloudiness (northern hemisphere)\n",
    "x_values = northern_hemisphere_weather_df['Lat']\n",
    "y_values = northern_hemisphere_weather_df['Cloudiness']\n",
    "createLinearRegressionPlot(x_values, y_values, \"Latitude\", \"Cloudiness(%)\", \"Northern\",(30, 50))\n",
    "\n",
    "plt.savefig(\"./output_data/Northern Hemisphere_Cloudiness_Latitude_Linear.png\", bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above plot is a linear regression model between Cloudiness (%) and Latitude for Northern_Hemisphere cities. The result from the data showed that there is a very week, almost none negative correlation between Cloudiness (%) and Latitude in the Southern Hemisphere cities."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Southern Hemisphere - Cloudiness (%) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is: 0.0022767336118374466\n",
      "The correlation between both factors is -0.05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs cloudiness (southern hemisphere)\n",
    "x_values = southern_hemisphere_weather_df['Lat']\n",
    "y_values = southern_hemisphere_weather_df['Cloudiness']\n",
    "createLinearRegressionPlot(x_values, y_values, \"Latitude\", \"Cloudiness(%)\", \"Southern\",(-45, 60))\n",
    "plt.savefig(\"./output_data/Southern_Hemisphere_Cloudiness_Latitude_Linear.png\", bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above plot is a linear regression model between Cloudiness (%) and for Southern Hemisphere cities. The result from the data showed that there is a very week, almost none negative correlation between Cloudiness (%) and Latitude in the Southern Hemisphere cities."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Northern Hemisphere - Wind Speed (mph) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is: 0.0005450822316844967\n",
      "The correlation between both factors is 0.02\n"
     ]
    },
    {
     "data": {
      "image/png": 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744uFCX1f7UIV3IOHzvvxAczRzrn4h8BF+OOxP75kIjyv7fgiX2h4ncn0t/Pw17z4epvGzmvlbfh1jol/iL8J3yK2wfWpwcx8zvW/8dvkbFfgLdEViLWAc26z+Q78fosPrraERs8CfmBmHWMXdfN9j1WRXh9BTeXwpPI0PufnrQRPcYXiaXxOwxLnXFpP7dninHsf+J2ZfZedT2ExZ+CfPsPfZ2d4Ij+DzxHbwzn3VDOS+DS+GGd2KBclpeDJNlsdzcYadOwI5oLKtFU0fIhI9xhNNt1SfDF22NC47y/jWw8fESueNLNe+CK9cE5Sxtss5AHg6qAhxZfwdaYacc5twXchMB5/Q0t6Mw0CvBfxwXg/fF2hmBeD76uAOc65bPR19zIwIggOlwKY2TE0EbgEuZ9bE1wnDgj+xt+szyBoWBAUGZ1G0BUHvt7XMqDKNeyaIF46+6pZ6xNKx35pTJepMwiKa823xh6KDxqao4qdwUlCQbHfP/D74phE10nn3LvmOwM+Ex94xPbLmTS8jgH8GV8n60TnXKPK7cH9bHrw21tDo74FvOicWxtM1+g6k+5v8QHWL/GlM1OD9O4BfAFflxTn3Ac0Dr5i2+Qn+IZvZznnEt5Hg30zNfh6apbOr5xSINZyt+KfpI+m4ZPAeHxuz7/NbBy+XPx3+JZGD6cx3/nAKWY2DV8OviD8lN6E8fgs7GfM7E/4i+Pe+JvMc0GdkKjdi2/ROSMIZt/Fd9lxOL5y603ZXJiZ3Yq/af4XX2R4PP4CF5+bOdzMfo3fl1/HX2wz6o/IObfAzCYCD5hv3VmLD0QOwleeTdj9QsgY/M3tCTO7C59L0D1IyyTn3IxM0pPCMQlaydXht9F64PYg/T2CNC2Lm3Y+cJqZnY4Pqj4ILqLx5gN7m++F/018o406fK7IRUHuyxP4fRLfpH8qPkfmH2Z2LT4X7ToaF1GNoZnbzDk328wW4m+qGwk9jZvZ5/A3iL/jj9E98cfMa865pnI0XgjSCv7BLOZ1fHA6FN9YIBvuxufOP2G+y5B2+BzxpnJy+wH/DLbZC/gOkAfjW4TPofFD4/fM7DP8frwYXxn7HPC5zmZ2FXCf+b68avDruT++HtA3g5viGJreV81dH/ABerY779wI/Dq4yX8AXI3PpWru/qvG56ym8md8Y5Uf4VtAHhka96rb2ffXGOCv5rs9eh7fh9oB+NamAJjZT9nZenV73LzmhurbjsVfk2/GF8+fHHyGpbFOTf7WOVdrZo8Dd5rZj/H78xp8JsYtqWZuZt/G12mbBCyLW4dFody/R4DP4RuY9DHfmXJs+Xnroy8j2ajxXy4fQq0m44b/FJ/dOiNu+CH43JEN+GKK+wm1DCFF6zX8E8J/8U3LHXBcMNwBo5pKF757i7vxT7Sb8TfYvwIHpbHsOuDGuGEXEGqFmGT7JJ0mSRr3wF/I3sdfsJfiT6JjQtMkWt8ZNG5t12D+8WkJvj+PD8Y24G+GF4WmPy6Y/iv4G8iGID2Xxi1nElAbN6zRtsRntV+Bb6a+maBSMHBeqvUIjeuPb5W4Gn8TWIgP+nskmj7D4ziW3kSfScE0w/A3243Btjo5Pr34uj6PBml0BC2wEkzXFn8srggvIxj3k2D/r8Mfn18j1GoymKYXMC1Iy3v47loatdhsyTbDd4/ggL/FDe+Kb+X3Lj4IXA78jaDVYxPzPD6Y55sJxs0Ixp2ZxrFURxrnI/7m80JwvC3ABz+1pGhVhg8sr8MHiqvwx/18fJDQOcHyDsefR5uC7fuNBPMcju8a4lN8a7g5wfYNtyZscl81Z32C31Xji7l6pdquKbbtJELnOMG1BV8sPSdIz2vAkDTmlWg/HRKkr6qJ9agj+XlaFTftxcE23Izv6uiEJMdbos9xcdOejj/3NwfHwtkZXFua/C0+U+IvwfG2Ed+NUZOtkoP9kmwdLghNl2wal+565PtjQcJFypr5DnOn4y8Ib0acHJGCEuRm3g10dL7FYEEzsznAZOfc77MwrzH4h8EuTU2b5vx+CxzmnGtOP2JSgtRqUkRESs2vgR8m6F4hUuZfbH0xPodQBFAdMRERKT0P4eumdadha8Ko9QKuc9mr5yklQEWTIiIiIhFR0aSIiIhIRBSIiYiIiESkKOuIdenSxVVVVUWdDBEREZEmzZ49+2PnXGWicUUZiFVVVVFbm61OxEVERERyx8ySNhpR0aSIiIhIRBSIiYiIiEREgZiIiIhIRBSIiYiIiEREgZiIiIhIRBSIiYiIiEREgZiIiIhIRBSIiYiIiEREgZiIiIhIRBSIiYiIiEREgZiIiIhIRBSIiYiIiEREgZiIiIhIRBSIiYiIiEREgZiIiIhIRBSIiYiIlKGammkMPeV0+h40mKGnnE5NzbSok1SW2kSdABEREcmvmpppXDlmHJVDRtBvaF/qly3kyjHjABg+fFjEqSsvyhETEREpM+MnTKRyyAg69epPq9Zt6NSrP5VDRjB+wsSok1Z2FIiJiIiUmcV1dVR079tgWEX3viyuq4smQWVMgZiIiEiZ2a+qivplCxsMq1+2kP2qqqJJUBlTICYiIlJmRo8aycqZk1mzZD7bt21lzZL5rJw5mdGjRkadtLKjyvoiIiJlJlYhf/yEiSyYWsd+VVXcNOZaVdSPgDnnok5Dxqqrq11tbW3UyRARERFpkpnNds5VJxqnokkRERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiCgQExEREYmIAjERERGRiOQtEDOztmb2kpm9ZmZvmdmvguH7mdksM3vHzP5uZrvmK00iIiIiUcpnjthm4MvOuc8Dg4FhZnYkMA64yTl3APAJcFEe0yQiIiISmbwFYs5bH3zdJfg44MvAQ8Hwe4DT85UmERERkSjltY6YmbU2sznACuApYBGwxjm3NZhkKdA9n2kSERERiUpeAzHn3Dbn3GCgB3A4MCDRZIl+a2aXmFmtmdWuXLkyl8kUERERyYtIWk0659YAM4AjgU5m1iYY1QP4IMlvbnPOVTvnqisrK/OTUBEREZEcymeryUoz6xT83w44EZgHTAe+GUx2PvB4vtIkIiIiEqU2TU+SNfsA95hZa3wA+KBzboqZzQUeMLPrgVeBO/OYJhEREZHI5C0Qc869DhySYPi7+PpiIiIiImVFPeuLiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRESBmIiIiEhEFIiJiIiIRCRvgZiZ9TSz6WY2z8zeMrMfBcPHmNkyM5sTfE7OV5pEREREotQmj8vaClzlnHvFzDoCs83sqWDcTc65G/OYFhEREZHI5S0Qc859CHwY/L/OzOYB3fO1fBEREZFCE0kdMTOrAg4BZgWDRpnZ62Z2l5ntGUWaRERERPIt74GYmXUAHgaucM7VA38B+gCD8Tlmf0jyu0vMrNbMaleuXJm39IqIiIjkSl4DMTPbBR+ETXbOPQLgnPvIObfNObcduB04PNFvnXO3OeeqnXPVlZWV+Uu0iIiISI7ks9WkAXcC85xz40PD9wlNdgbwZr7SJCIiIhKlfLaaPAb4DvCGmc0Jhv0UOMfMBgMOqAO+n8c0iYiIiEQmn60mnwMswaip+UqDiIiISCFRz/oiIiIiEVEgJiIiIhIRBWIiIiIiEVEgJiIiIhIRBWIiIiIiEVEgJiIiIhIRBWIiIiIiEVEgJiIiIhIRBWIiIiIiEVEgJiIiIhIRBWIiIiIiEVEgJiIiIhIRBWIiIiIiEVEgJiIiIhIRBWIiIiIiEVEgJiJSwmpqpjH0lNPpe9Bghp5yOjU106JOkoiEtIk6ASIikhs1NdO4csw4KoeMoN/QvtQvW8iVY8YBMHz4sIhTJyKgHDERkZI1fsJEKoeMoFOv/rRq3YZOvfpTOWQE4ydMjDppIhJQICYiUqIW19VR0b1vg2EV3fuyuK4umgSJSCMKxEREStR+VVXUL1vYYFj9soXsV1UVTYJEpBEFYiIiJWr0qJGsnDmZNUvms33bVtYsmc/KmZMZPWpk1EkTkYAq64uIlKhYhfzxEyayYGod+1VVcdOYa1VRX6SAmHMu6jRkrLq62tXW1kadDBEREZEmmdls51x1onEqmhQREZEG1P9c/qhoUkRERHZQ/3P5pRwxkTKnJ18RCVP/c/mlQEykjMWefDcNPJV+F9/MpoGncuWYcQrGRMqY+p/LLwViImVMT74iEk/9z+WXAjGRNJViEZ6efEUknvqfy6+0Kuub2f7Al4AqoB2wEngFeN45tylnqRMpEKVaeTX25NupV/8dw/TkK1Le1P9cfqXsR8zMRgA/AqqBj4APgI1AZ6APsAmYDIxzzr2X89QG1I+Y5NvQU05n08BTGwQsa5bMp+3cKTz1xGMRpqxlwgFmRXcfYK6cOVkXXRGRLErVj1jSHDEzexXYCkwCvuGcez9u/G7AUcDZQK2ZXeqc+0fWUi1SQBbX1dFvaOMivAVT66JJUJboyVdEJFqpiiZ/5px7ItlI59xmYAYww8x+BuyX5bSJFIxSLsIbPnyYAi8RkYgkrayfKghLMO3HzrmXs5MkkcKjyqsiIpILGfWsb2b7Al2JC+Ccc69kM1EihUZFeCIikgtpvfTbzA4B/gr0ByxutHPOtc5B2pJSZX0REREpFtl46fdtwPvAscD++Ppgsc/+2UikiIgUl1LsW08k39ItmhwIHOKcezuXiRERkeJQqn3rieRbujlibwDdcpkQEREpHno9lkh2JA3EzKxz7AP8FLjBzE40s73D44LxIiJSRvR6LJHsSFU0+TEQrslvwJMJhjkgr5X1RUQkWqXct55IPqUKxI7PWypERKSojB410tcJS/B6LBFJX9JAzDn3bD4TIiKlr6ZmGuMnTGRxne+LbfSokarYXaTUt55IdqTdoauZ7QP8AN+CEmAe8Bfn3Ae5SJiIlBa1sis9ej2WSMul1WrSzIYCi4BvARuCz5nAQjM7KXfJE5FSoVZ2IiKNpdt9xR+BO4D+zrnzgk9/4Hbgf3OWOhEpGWplJyLSWLqBWBUwwTV+H9ItQO+spkhESlKslV2YWtmJSLlLNxCrBQYlGD4IeDV7yRGRUjV61EhWzpzMmiXz2b5tK2uWzGflzMmMHjUy6qSJiEQm3cr6fwZuMrMDgP8Gw47EV97/sZkdGpvQOfdKdpMoIqVArexERBqzxqWNCSYy257m/JxzLuedu1ZXV7va2tpcL0ZERESkxcxstnOuOtG4dHPE9stiekRERESENAMx59x7LV2QmfUE7sW/PHw7cJtz7n+Dd1X+Hd8goA44yzn3SUuXJyIiIlLoMunQtRtwNNCVuEr+zrk/pzGLrcBVzrlXzKwjMNvMngIuAJ52zv3OzH4M/BjQOzJERESk5KUViJnZufh+xAz4hIYv/nb4yvwpOec+BD4M/l9nZvOA7sBpwHHBZPcAM1AgJiYVjpkAACAASURBVCIiImUg3e4rfg3cAOzunOvmnNsn9Nk304WaWRVwCDAL2DsI0mLBWtckv7nEzGrNrHblypWZLlJERESk4KQbiFUAk5xzW1u6QDPrADwMXOGcq0/3d86525xz1c656srKypYmQ0RERCRy6QZik4FTWrowM9sFH4RNds49Egz+KHiheOzF4itauhwRERGRYpBuZf3RwGNmdgLwBrAlPNI5d11TMzAzA+4E5jnnxodG/RM4H/hd8PfxNNMkIiIiUtTSDcS+DwwDPgb60riyfpOBGHAM8B3gDTObEwz7KT4Ae9DMLgKWAGemmSYRERGRopZu0eTP8V1PdHXOHeycGxT6fC6dGTjnnnPOmXPuc865wcFnqnNulXPuBOfcAcHf1c1fHREpBjU10xh6yun0PWgwQ085nZqaaVEnSaRs6PwrLOkGYq3xRYgiEtDFrHlqaqZx5ZhxbBp4Kv0uvplNA0/lyjHjtP1E8kDnX+FJ912TNwL16dQFywe9a1KiFruYVQ4ZQUX3vtQvW8jKmZP1Eus0DD3ldDYNPJVOvfrvGLZmyXzazp3CU088FmHKREqfzr9opHrXZLo5Yu2B0Wb2vJn9xcz+GP5kL6kixWH8hIlUDhlBp179adW6DZ169adyyAjGT5gYddIK3uK6Oiq6920wrKJ7XxbX1UWTIJEyovOv8KQbiA0AXgU+A/oDg0Kfg3OTNJHCpYtZ8+1XVUX9soUNhtUvW8h+VVXRJEikjOj8KzxpBWLOueNTfL6c60SKFBpdzJpv9KiRrJw5mTVL5rN921bWLJnPypmTGT1qZNRJEyl5Ov8KT9ov/RaRnUaPGsmVY8ZBgjpiklqsDt34CRNZMLWO/aqqVLdOJE90/hWepJX1zewOYKxz7r2UM/AdtX4baOWcuy/7SWxMlfWlENTUTGP8hIksrvMXs9GjRupiJiIijaSqrJ8qR2wp8LqZzcJ3XVELfAhsAvYEBgJfBL4F1OE7fRUpG8OHD1PgJSIiLZK0jphzbgy+F/0Z+CDreeBd4APgLeAuoBfwXefcMc65N3OdWBEREcku9YkYrZR1xJxzK4HfAL8xsz3xgVc7/KuOFrl0OiETERGRghTuE7HfUF/f9cox4wCU458naXXoWmhUR0xERKTl1MFrfmSjQ1cREREpMeoTMXoKxERERMqU+kSMngIxERGRMqUOXqOnDl1FRETKlDp4jZ4q64uIiIjkULM6dDWz6UBaUZreNykiIiKSuVR1xN7Ed9z6FjAf+ALQHd/j/lJg32DYvBynUURERELUCWvpSJoj5py7LPa/md0E3AP8KNyJq5ndDFhOUygiIiI7qBPW0pJWHTEzWwUc5Zx7O274gcB/nXOdc5S+hFRHTEREypU6YS0+2ejQ1YBBCYYnGiZlSNnkIsVH521xUiespSXd7ivuAu4wswOA/wbDjgSuAe7ORcKkeCibXKT46LwtXrFOWMM5YuqEtXilmyN2DfBb4DLgmeBzGfC7YJyUsfETJlI5ZASdevWnVes2dOrVn8ohIxg/YWJOlqeneJGWy/d5K9mjTlhLS1o5Ys657cANwA1mVhEMq89lwqR4LK6ro9/QxtnkC6bWZX1ZeooXyY58nreSXeqEtbRk1LO+mVUDfYApwffdgc3Oua05SJsUiXxmk4ef4gH/N3iK10VIJH0q3ipuw4cP0zWvRKRVNGlme5vZLOAl4H5g72DUeOAPOUqbFIl8ZpMvrquDDl15+52FvPHWXN5+ZyF06KpKqmkqt2LdclvfTKh4S6QwpJsjdhOwHNgLWBIa/g/gT9lOlBSXfGaTV3TsyKI3Xmb3PofStqIt27ZsYtEbL9OtY8esL6vUlFuxbrmtb6ZUvCVSGNLtR+wj4ATn3Jtmtg74vHPuXTPbD3jTObd7rhMapn7Eytchhx/NotWf0flL59G2Wx82LV/E6mfvpU/nXXn1pReiTl5BK7e+h8ptfUWkcGWjH7F2wGcJhlcCm5qbMJFMrft0A/1OOIsNtY+w7N6r2FD7CP1OOIt1n26IOmkFr9z6Hiq39RWR4pRuIDYTuCD03ZlZa+Ba4OlsJ0okmf2qqmhb0Zkjvnc9x11zB0d873raVnRWBeM0xCpnh5Vy5exyW1+RbFHdyvzKpB+xi83sKWA3fAX9ucAxwE9ylDaRRlTBuPnKbduV2/qKZEOsbuWmgafS7+Kb2TTwVK4cM07BWA6lVUcMwMy6AZcCh+IDuFeAW5xzH+YueYmpjlh5q6mZxvgJE1lc5ysYjx41UhWM01Ru267c1lekpVS3MjdS1RFLOxArJArEREREsq/vQYPpd/HNtGq9s1OF7du2suD2K1j41pwIU1bcslFZHzMbZGYTzGyqme0TDDvdzA7JVkJFREQkOqpbmX/pduh6EvAy0B04Ad+KEnwv+7/MTdJEREQkn1S3Mv/S7dB1LDDaOffnoB+xmBnAVVlPlYiIiOSdOvrNv3QDsYOAqQmGrwY6Zy85IiIiEiW9xzK/0q0j9gm+WDLeocDS7CVHREREpHykG4jdD/zezHoADmhjZl8CbgTuzVXiREREJBrq2DU/0i2a/BkwCXgPMHxnroYP0H6dk5SJiIhIJGIdu1YOGUG/oX2pX7aQK8eMA1CxZZZl1I+YmfUBDsHnpL3qnHsnVwlLRf2IiYiI5I46ds2uVP2IpZsjBoBzbpGZfRT8vz4biRMREZHCsriujn5D+zYYVtG9Lwum1kWToBKWSYeuV5jZEmAtsNbM3jezK83Mcpc8ERERyTd17Jo/6XboegMwBrgVGBp8JgK/AMblKnEiIiKSf+rYNX/SLZr8HvA959xDoWHPmNkCfHB2TdZTJiIiUoRK4WXz6tg1fzKpI/Z6kmFpF2+KiIiUslJqbaiOXfMj3SDqXuCHCYb/ALgve8mRYqX+ZkREfA5S5ZARdOrVn1at29CpV38qh4xg/ISJUSdNClS6gdhuwAVmNt/MJgWfecCF+M5d/xj75C6pUqhiT4CbBp5Kv4tvZtPAU7lyzLiyD8YUnIqUn8V1dVR0b9zacHFdXTQJkoKXbtFkf+CV4P/ewd/lwWdAaLr0OyWTkhF+AgT83+AJsFyztUupeEJE0hdrbRjuf0utDSWVtHLEnHPHp/n5cq4TXGzKIVdET4CNqXhCpDyptaFkKqMOXWPMrBfQAZjnMumav8yUS66IngAbU2eIIuVJrQ0lUylzxMzsW2b2g7hhfwEWA28Ab5pZ93QWZGZ3mdkKM3szNGyMmS0zsznB5+RmrEPBKpdckUJ/AsxFrmRT81RniFKqyiGXv6WGDx/GU088xsK35vDUE49lPQjTPigtTRVNXgZsj30xsxOB7+M7cj0z+P3P01zWJCDR0XiTc25w8Jma5ryKQrkU2Q0fPoybxlxL27lTWHD7FbSdO6VgngBz0ZAgnXkWenAq0hxqmBM97YPSk/Kl32a2EhjqnJsTfP8TcIBzbljw/WRggnNu/7QWZlYFTHHOHRx8HwOsd87dmEmii+Wl33ppavRysQ/SnWcpdOooxS3bx6CuadHTPihOqV763VSOWAdgdej70cAzoe9vAd1aljxGmdnrQdHlnskmMrNLzKzWzGpXrlzZwkXmh3JFopeLXMl055nr4gmRVHKRc1IuufyFTPug9DQViC0FDgIwswpgEPB8aPxewPoWLP8vQB9gMPAh8IdkEzrnbnPOVTvnqisrK1uwyPwp5CK7cpGLulqq/yXFIBd1VHXsR0/7oPQ0FYj9A/ijmV0I3IEPlv4bGl8NzG/uwp1zHznntjnntgO3A4c3d16FSrki0cpFrmSx5XSqYm95ykXOSbEd+6VI+6D0NNV9xVigBz6najlwrnNuW2j8OcATzV24me3jnPsw+HoG8Gaq6UUylYum5MXUPL1culCRxnLRrUwxHfulSvug9KSsrJ/VBZn9DTgO6AJ8BPwy+D4Y3yN/HfD9UGCWVLFU1pfCUo6V51Wxt3yFg/CK7j4IXzlzsm7aIhFIVVm/WR26Nodz7pwEg+/M1/KlvJVrzpA6li1fyjkRKQ55yxHLJuWISabKNWeoXNdbRKSQtKT7CpGSUK5NvlWxV0SksOWtaFIkSuX6PkwVT4mIFDbliElZyGfOUKF1F6EuVEREClfSHDEzOy/dmTjn7s1OckRyI185Q+XaKEBERJonaWV9M1sXN2hXYBd2vgS8FbAF2Oycq8hZChMo58r6+eyCoRy7e0hXTc00/t+vfs3bCxcCxgH7V/GbX/2C8RMmFkXl+OvGXs8fb7ubdfX1dKyoYPjxX2T5qrUlt691DIvkh8611JrVfYVzrmNoBqcAY4ArgFnB4COA8fhOXyUP8pnbopyd5GpqpvH9a37J1n4n0e3YH7F11TIWzbyPi6+4lu1bNnHI0CsaTF9o3UVcN/Z6xt16H52/PJK9egxg/eLXePDJu+lefSIDLr6iZPa1jmGR/NC51jJpdV9hZvOAC51zL8YNPwqY5Jzrl6P0JVSuOWL57IpA3R7sFP+kt2rVKlb1/jK7Vg2mza7tANj4wdvUP/dXWm1YxYCzf1LQ261Lzz60O34kHXoPAmD9x8vYsvZjPq19hOMu8697LYQ0t/QJW8ewSH7oXGtaNrqvqAI+TTB8A9CrmemSDOWzC4Zy7e4hXuxJb9PAU+l38c1sGngqcxe8zfYOlbTepe2O6dp268Nnn9azSyvy0iigJQ0C1tXX077HgB3f3dYttO3Rn8/WfrxjWNT7OtF2v3LMuIzWU8ewSH7oXGuZdAOxWfiXf3ePDQj+v4mGLwGXHIp1wRCWqy4Y8rmsQjZ+wkQqh4ygU6/+tGrdhk69+tO+a28+W7WUbVs27Zhu0/JF7Lp7BQcfPIibxlxL27lTWHD7FbSdOyXrjQJaGqR0rKhgw9J5O75bm13YtHQ+u+7RZcewqPd1ou1eOWQE4ydMTHseOoZF8kPnWsukG4hdBOwF1JlZnZnV4d8N2RW4ODdJk3j57IJBHYF6iZ70+hz3TepnPcSni15hy6b1bFy2gNXP3kt7Nu8oPstldxEtDVIuv+S7rH7mDta/9wbbt21l+5rlfPLM7VQeeEjB7OtsPGHrGJZiVWhd4DRF51rLpNWhq3NukZl9DhgK9AcMmAv8nyvGdyQVqXx2zqmOQL1EHcG2rehM/55dsaUzeHvGHexsNXl9XrZPS98f+Yuf/wyAP942kRVBq8mzTvoiy1ctZ8HtVxTEvs5GB7w6hqUYFWPFd51rLaN3TYqkEL4oVnT3F8WVMydHepEph4qxhbjdRfKhHM7vctSs7isSzOQI4AR8cWSDIk3n3OUtSqFIgSrEJ73Ro0b6J+QEQUqpKMTtXijUX1Npa2mOtxSftAIxM7sauAFYCHwAhLPRii9LTSQDw4cPK6gbXbkEKYW23QtBMRZbSWbK9b245SzdfsTeB8Y55ybkPklNU9GkiJQjFVuVPhXLl6Zs9CNWAUzNXpKkKHzwAfzgB9C7N+y2G+y7L3znO/D2282f59q1cM01cMAB0LYtdO0KZ5wBL72U/DczZ8L118Npp/k0mPnPxx8n/00WZb0FUyz9TX3uzeAVrh9/DHfd5ffXYYf5/WUGo0al/t3UqXDRRXDoodCtG+y6K1RU+Hn85jewfn3L1rVIFWqrNfXXVPqGDx+W8y5wpLCkW0fsb8Aw4M85TIsUknnz4NhjYdUq6N/fB0vvvAN//Ss88gg8+SQcc0xm81y+3P/m3Xd9cHfaabBsGTz2GPzrX/C3v8GZZzb+3eWXw2uvZWe9MpSToqDzz08+bskSmD7dB1Ff+lL683zuOR9QZer++2HyZDjwQPj852GvvWDFCnjxRaithUmTfCDcrVvm8y5ShVz8p2Kr8qBi+fKSbtHk/8O/Z/JJ4HX8y753cM6Nz0nqklDRZI5t3+5zSF57Da6+Gn7/+53j/vQnHxjtu68PzNq3T3++X/0qTJkCZ58N990HbYLngMcfh69/3eeQvfOOn3fY//yPz6WproYvfAH23tsPX7kSuuzshDQXlZjzXhR06aXwl7/A0KE+2E3Xiy/6bfqFL/jPQw/Br38NP/whTEhRo2DOHNhnn53bNGb1ah98z5wJ550H99zTvPUpYMmOl/A+XzF3Fotf+Befrnifdm3gvttuYfjwYZFVmFexlUhxykarye8B64Gjg0+Yw7/8W0rF1Kk+COvbF373u4bjLruMVXfcwV6vv84v+xzIC4dWp3cTevNNH4RVVMBtt+0MwsDnjJ13ns99uflmuOGGhr8NB4JJ5CoXI60WTLHciJYWD23a5HMFIfPcraOO8p+Yx9IMEgcPTjy8c2dfHDxkCDz1VGZpKQKpjpfYPl8xdxYLpj9Ep2POYc+996d+wQtcOWYcL9fWcv+UpyPJMSuXhhoi5SStOmLOuf1SfPbPdSKLUl0dtG7tb2gbNyaeZssWnxthBnPn5jV5KcVu4mef7dchpKZmGjfV+1f7nFaxT/qv14nN82tfg44dG48fMaLhdBkK9za/2/Zt3PO3ccx/aQYfXjG68cQbNsBBB/ntfuONKeeb11d3PPwwrFnjj5nTT8/+/DMVC5bbtk09XRFK9XaC2D5f/MK/6HTMObTb90C2b9tCRfcDqRwygj/edneLX7/UErl+c4OI5Fe6lfUlU1VVvijuk0925nLEe/hhX2/quONg4MB8pi61V1/1fw87rNGo8RMmsnTI2QD0WfZO+jehFPME4PDD/d+FC2HduoyTHK7EvGWX3Rj33V+xYbf2nPf2PPjPfxpOfOmlPvA95RS46qqU883rqzvuusv/PfdcX9k+SuvXw3XX+f+/+tVo05IDqSq9x/b5pyveZ7e992frZxvZum41e3etpKJ7X9bV16vCvIhkTdJAzMz+aGa7h/5P+slfcovMZZf5v39O0sYhNvyHP0x7lkuHDk2/1V34k8lNYvFi/7d378aj6urY2M8Xc+/x6Vrabt6Q3k0oxTwBX2RZUQHOwXvvpZ/WQHzO1Qdde3HDid/2Ze/nnOMbHYBviXjPPdCjh/9rlnK+eWvBVFfnK+kDXHhhduedjhdfhAsu8EXEw4f77TNtmv9/7Ni8JCGfLRVT5XTG9nm7NlC/4AVabVxLz327sccee1C/bCEdKyr0gmMRyZpUdcQGAbuE/k9GHbomc8IJPqdr9mzfPUMs1wd8nan//MdXTE+zGKqmZhrPL1zCMQcdxS7tK9iyoZ5NH73LYYMH0aN799Q/7tAh/XTHuizYffdGo/arquKjj5ft+N5u0waWr13S9E0oxTwbpLG+vlk5Yol6m39g5UIuHDaMXtOm+QDj97/3uWFt2sADD/gWgmnISwumu+/2QWh1tW+9mG+LFjWukH/22b7OXkVFzhef75aKTb2dYPjwYdx32y0+TfvvT8cOu+/IDb38ku9y/5TJJf1mAylsertCaUkaiDnnjk/0v2Ro1Ch/8//znxsGYrfc4v9ecknDiuspjJ8wkU3f/B9eS9SCb9KkLCY6kCC3aPSokVz9y9/u+F6/bCErX3mi6ZtQrHVuEzlQzZWsEnOv44+DI47wDRCefx4+/RR++9vMu94A34I0Ud9lsWEXXNB4XJcuTdZDY/t231ABoskNA18ceu65sHUrvP8+1NTAmDG+Lt0jj/hK+zkUrrMF+L9BkXdUL7VPNc1h1dWqMC+RKOTuVaR5UnZfYWbHAS845z7LW4rSUFTdV3z6KXTvDps3+z6zOnf2OT777utbyS1Z4ivsp6HvQYPpd/HNtGq9M3Dbvm0rC26/goVvzclemjt39nXb5sxJmDvz1IP/YOi3zgLgqyedwqVXjGr6AnDoob6e2GOP+VaSieyxh88Re+MNOPjg5POKBXNx3VckNXeun59zPpfyqaeaFxBWVWVebNq7d9PFwk8+CV/5CrRrBx9+6LdDS40ZA7/6VdPdV6Qya5YPWPfZBxYsyKyrkgylOrb/dOPv9PQvEtDbFYpTS7qveAbYZGYvAtOD77Occ9uynMbStfvuPpfjppt8Zeyrr/ZFQOvX+85L0wzCwBcLDqm5m+o1K3YM++zTtbReuzpxbkzYjTemF7SADzg++cQHHQkCsaH9+/l/9tqLf/17SvrzfPXV5IFMfb3/QPJ6ZM01efLOHLm33/br1rlz5vNJFlC1tPuKWCX9b3wjO0FYthxxBAwY4IvRZ82C43OXMZ6so9KKjh2L5ulfxUWlodD3o14KXnqaCsQOBI4HjgN+AFwHfGpmz+GDsunAbJdOr7Dl7Ic/hP/9X5g4EUaP9h12xoZnYPSokWw67wJO+PijxiOb6nBzzJj0A7FY7tXLL/vuJuLFXkd0yCHpzS82z0cf9fNMJDbPvn0Td2/RXE895ftC23NP31P9Y4/5oPWf/8zeMlpi9eqdXXY0p2f8XKus9H9XrEg9XQslq7PVzm2j8kvn563IsrlUXFQaimE/6u0KpSdl9xXOuYXOududcyOcc92BgcA1wFrgKmAWsCr3ySxyffr41meLFsFPf+qLyg46KLNX2OAvBG3vncTQk0+j78DPM/Tk06iZWuNze5r6ZHKSxooOH3gAtiXI/Jw82f8944zM5/nPfyaujN+ceTZl+XJf72n7drjzTr+MAQP865Ruuil7y2mJyZN9sXWfPhkfDzlXX+8bmoB/N2gOJWuduu7TDUXRVUSqfsmkeBTDfsxrlzqSFxn1I+acmw88DDwKPI7vbT+D5nhlLNaVxTj/dMWllzZrNnnpzPGUU+Bzn/N9ev3kJw3HTZgAM2b4Om6JikP79/ef+Jd4Dxrk51tf7xsobN26c9zjj/tuJdq3hyuuyM46bN/uO4ldscJv+zPO8PN/8EFfF+vaa5PnzuVTrFjywgubrrf26KN+255wQnaWvWKFf4tBogYIdXVw1ll+f1VXU/PRipx3LZHo2M5rh7otoJdxl4Zi2I96KXjpabK5npnthS+aPB74MrA/MBt4FjgLeC6H6SsdJ50E/fr5Ss8dO8J3vhN1ipJr1crnhh17rO/yYcoUX1fsnXd8Dkm7dvD3vyeuvL1ggf+7YUPjcXfc4St/P/CA77fqyCN9A4bnn/fLvPvuxu+ZjP3ujjsaDx82bGeL00MPbdhf29ix8Mwzfni41eLBB/ti4ksugW99yxfBRlUva84c/2ndOvWLwGPWrvXbd9OmhKPX9O/Phx+tYPPmzXR326kE/87JcMOWP//ZbxPw++jaa+HnP/fFzL17+wB2yRJ45RUfLPfty4wfXBpZcU1T3UwUilIqLir0OlK5VCz7US8FLy0pc8TM7DVgKf6F32uAHwGdnXPHOOd+6pz7t3Pu0zyks/iZwYkn+v/POy+79aByYcAAeP11+P73fcOCRx7xQdOIET54+OIXM59nt24+kLv6ah9APfoozJ/v66G98ILPgUlk6VJfWTz2iZk9e+ew8Cuinn3WB2IdO/qAcdddG87v4ot9J6+LF0dbL+vOO/3fr3zFt6xtgZqaaXRasIABaz5h8MYNVMaCtY8+arjtYg0iALp29UHqsGG+BerUqT53sq7Od1fxpz/BG2/w64cfj6y4JldP/9nuPLZUiotidaQ2DTyVfhffnP4rzEpEqexHKS5NdV+xAR+APQXMAGY45xbnJ2nJFVX3FTGffQa9evkb41tvFdYrjaTo5bJJe966TcmTcIXs+Fy2lgR4pZCTlOlxVArrHK/Q1qnQ0iPN05LuK/YAjsAXS34HuMXMVhIEZRRIYFYUbrnFB2HDhhVkEKaTvbjlskl7sRTXpCtXnceWQnFRJsdRMbQwbI5C2o+luo2loaZaTW5xzj3nnBvrnPsysCdwPrAYuACYa2Z1OU9lsVqwAL73PTj5ZF8ct8suviuFAlPuxRHNlat3IzZnvrms1J6r4prYeu7Tuw9devZh3/375aQhQPz2fGvevGZXyM7n+zAzka10ZXIcFUMLw7DwNjrk8KM59Mhjc74fW7pfxk+YSLtDT2PF5ja8Nf9tVmxuQ7tDTyvYbRxWqOdKIUrv3To7bQ99HGBAz2wnqmR8+KGvB7Tbbr6y+/XXR/MewSbk+/UypSBXT6rNnW8uK7Wn8zqgTMXWs3XPz7Ox3XI6Hv4NWrffg49tQ1af+BNtz3WzX+WDBXPoMXBnKUE6QWuh5k5kM13pHEex3POZzz1P7/2+iq1dyx5Bg5dC7Vg0vI327LGaBU8/SIfBw+kz6DA2rV+Rk/2Yjf3y1rx57NrzZHZptwdtK9qybcsmPvnsM1bMm5e1dOZCoZ4rhaqpOmJtgMPxRZPHA0cBbYEl+M5cpwPTnXNLc5/UnYqyjlgL5LrYsNTqAOVDrupktWS+xVS8HFvPBU/+lfbVX6fdvgey9bONtNq4lq67bc3a61oSbc93n32IpS8/yefOGp1RHbFCfbVMttOV6jgK32AX/Ps+dht8Km06dKbnvt3YY489CmJ7JBLeRrPu+Bntq7/OLl160mrjWg48oG9O0p2N/dKlZx/aHT+SDr0H7Ri2/r032Dh9Ih+/vygr6czFdaNQz5Uopaoj1lQ/YmuA/+B71f8QuAzo65zbzzl3oXPuvnwHYeUmH8WGxdJXUyHJVX9D8fNdu3YtH200Zj73fJPZ+3npYy5LYuu5cfVy2nbrA0DrXdqy+bPPstpvU6L9VPXF02nP5oxbYhZqH1PZTleq4yice77fMV9j3UuPsHX9apYvX17QLQzD2yh2zMWON8jNfszGftmlFax76WE2fvA2bvs2Nn7wNuteephdgjt3S4v/cnV/KdRzpVA1FYhdBfR3zvVwzn3HOXeXKufnVz7qYajJduZyFbyG57t27Vre/2A5G+tXs0fvgSVVdy+2nu06d2PTcv9kv23LJnbbddesPgQk208HHzwo46C1UB9Y8pmu8A2268Aj6Hf8N9k8Zwrv3ffjgu5YNLyNYsdc7HiD3GyvbOyXgw8eRPeDj2RD7SMsu/cqNtQ+QveDj+TggwdlJYjK1f2lH+CyfQAAIABJREFUUM+VQtVUZf1bnXPv5Csx0lg+nizUU3PmchW8hue7fPlytq5fzbqXHmG/Y75W8JWhMxFbz8oDBrPm+ftZ/94bbFm7kvZb1mT1ISCb+6lQH1jyma74G2zXgUfQ7yvfYcgXjynoXNjwNup95MmsfvZePl30Cl336pyz7ZWN/TJ61Ei2vf8a/U46lyFXTaTfSeey7f3XGD1qZFaCqFzdXwr1XClUmVbWlzzLR9cBxVS3qFDkogJ7/Hzfe+559ug9kH7Hf5OuA48ACrcydKbC67l640o2Tp/Ibru0ocuAAYzO4kNANvdTrvZ5S+UzXcXypoN44W30YV0dfTq3x5bO4MN5/8rZ9srGfkk1j8uu/nGLu6zJ1f2lUM+VQpWysn6hKqfK+rnqfDJf85fmU4VXKUR6cMtcoVaIL4Trf7kcT6kq6ysQKwK5PFB1sy9chXCRFJGWyeWbHLIx3ygDoXK6xikQk6TUdUVhK5enRZFSlcuH3WK/PpRTRkBLXnFU1or9IE9Hqb2+ptQU0utWRCRzuXz9WLFfH3K5bYpJU91XlK1yee1PqtYtekWFiEjLqCuH5LRtPAViSRTbe9SaK1nXFUBZBKIiIrmkrhx2in+4P/bIam0bVEcsqXKvO1VOZfciIrlUDtVcmpKsYv63Tz2B//y3tuS3TUtecVS2yj3LNFFHf3ToyouzZhVlUWU+illVlNs82m6SSC6Pi2zMO915FHMQFr+O1429vtnbLVkp03/+W1s0r2bLFVXWT6JYOy7MlvhK/GvXrmXRGy+z61496XfxDdQvW+i3DxT8iRN+Eus3tG9O0p5sGS/X1pbF015z5WPfSPHJ5XGRjXmnO49iPr7j01733GOMu/U+DvzqD+g3dHDG66KK+cmpaDKFYn6Saan4bOQ3X5zOJ7OfYMDQc3b08l4sRZX5KGZNtIx3n32IpS8/yefOGl3yfeQ0l4rAJZFcHhfZmHe68yjm4zs+7bPu+Bm7ff4U2neq5MADfECVyboU87bIhoIomjSzu8xshZm9GRrW2cyeMrN3gr975is96Rg+fFjZZpnGV+Jf9fTt9DvhrB1BGGT/nZe5ko/3dSZaxsq3X6V99ekl3+CjJfKxb6T45PK4yMa8051HMR/f8WnfuHo57XsMYPNnn+0Ylsm6qNFCcvmsIzYJiI9kfgw87Zw7AHg6+C4FIhyIHnXE4bSt6NxgfLHUmctHfb9Ey/h05VI67tOnwbBiuQjnS7nXxZTEcnlcZGPe6c6jmI/v+LS369yNDUvnsduuu+4Ylsm6JGuhX04ZHMnkLRBzzs0EVscNPg24J/j/HuD0fKVHMlPMTzP5SHuiZbRyW9l927oG08VfuMq9onoxH1eSO7k8LrIx73TnUczHd3zaKw8YzOpn7qD9ljXNXpdyLmVKJa91xMysCpjinDs4+L7GOdcpNP4T51zC4kkzuwS4BKBXr15feO+993KfYGmgmOvM5SPt8cs49shq7p/ydNL3qJXTe9ZSKebjSnInl8fFdWOv54+33c26+no6VlRw+SXf5Rc//1lO0lfMx3eia5oaHzVPwbxrsiWBWJjeNSnFItVFuNwrr4pEQQ9AEoWCqKyfxEdmtg9A8HdFxOkRyapUWfHFXJE3auVepCvNVy5vTZHiEXUg9k/g/OD/84HHI0yLSF4Vc0XeKJXLe2DLQRQBtR6ApNDks/uKvwEvAv3MbKmZXQT8DhhqZu8AQ4PvImWhmCvyRkk5GqUhqoBaD0BSaPLZavIc59w+zrldnHM9nHN3OudWOedOcM4dEPyNb1UpUrLUnLt5lKNRGqIKqLPxAKSicckmveJIJELDhw9T4JWh+NdvgXI0ilFUr7yJnW/jJ0xkwVTfiCaTB6Bifm2RFKao64gVlUJ+CirUtBVKulKlIzzukMOP5tAjj02Z3kJZp1xq6Tom+302tl1URbqFut8LNV1NibKIsCX9WeUiJ++6sdfTpWcfdtujki49+3Dd2OubPa9syeU5LA0pRyxNhfwUVKhpK5R0pUoHsGPcnj1Ws+DpB+kweDh9Bh3GpvUrGqW3UNYpl1q6jqlegB7rV60l2y7dHI1s9t9UqPu9UNOVjtGjRvq0JuhGopBlOyfvurHXM+7W++j85ZHs1WMAG5bOY9ytdwBk3LdZKpmcD7k+h6UhvfQ7TYXc51Ohpq1Q0pUqHcCOcbPu+Bntq7/OLl160mrjWg48oG+j9BbKOuVSS9cx2e/nPfBbBpz9k7xsu2z3FVWo+z3KdGUj0M1WsJzPTlOzvc279OxDu+NH0qH3oB3D1r/3BhunT+Tj9xdlJc2Zng+FcA6XmkLuR6xoFHIF4UJNW6GkK1U6wuM2rl5O2259aL1L2x0vto1Pb6GsUy61dB2T/X5dfX3etl1zio9SFbkU6n6PKl3NafGYaPtm45U3+W59me2i8XX19bTvMaDBsPY9BrCuvj4byQUyPx8K4RwuJwrE0lTITZ4LNW2Fkq5U6QiPa9e5G5uWL2Lblk07Xmwbn95CWadcauk6Jvt9x4qKvG27TAOUpm7mhbrfo0pXpjf2XAZL+W59me3Wzh0rKtiwdF6DYRuWzqNjRUU2kgtkfj4UwjlcThSIpamQ+3wq1LQVSrpSpSM8rveRJ7P62Xv5dNErdN2rc8L0Fso65VJsHZfOrWXBggXUzpjK6w+O59gjE+aqJ/19/Da6/JLv5m3bZRqgNHUzL9T9HlW6Mr2x5zJYiiJXMJsvr778ku+y+pk7WP/eG2zftpX1773B6mfu4PJLvpu19GZ6PhTCOVxOVFk/TS1t8pxLhZq2QklXOukYP2EiH9bV0adze2zpDD6c96+E0xXKOuXS8OHDeLm2lt/fchPbrQ27V/agx2Encf+UpzmsurrJdU21jQ6rrs7Ltsu0InhTFbALdb9Hla5MuxDJZVcVxd6dSaxC/h9vm8iK4CXk134/85eQp5Lp+VAI53A5UWV9EWmkUCunZyKTCtylsL75lK3K39nYvnqJd0PJjvtstyLOV+OIUpGqsr5yxESkkag628ymTDrLLdauFKKSaU5cLrdvoeZWRqGp7kyysU2KucuUQqUcsRKjJxXJhnLMIdK5k1vavrmXj/O2HK8N2aAcsTJRLE8q5XBBLvZ1LMccIr1uKre0fXMvHznZpZBbXmjUajJC2X5VRFQv0c1Evvv8iUIprKNeSJ57elWMZFs+ujMp1K5cipkCsYjk4mZdqJ1OhhVDsNhSpbKO2WyiLw2VQrAuhScf3Zmkuww9aKRPRZMRCd+sAf83uFk394ZXDM24yyFbuxzWUVomF+e/SD4aLqSzjGKpJlMolCMWkVzkXhVSp5PxT0PXjb2eoaeczvKPVvDmi9NZu3btjmmjDhaz/eSWj6z7XD1tZnu+1429ni49+7DbHpV06dmH68Zen/M05ONJvKZmGoceeSwduuxDhy77csjhRzdYTlPr3ZzzP9V6FVLuQ03NNA45/Gg6dNmXDl324dAjj1VuSJbF9vc+vfvQpWcf9t2/X8avjWrJMdPUMkqlVCBflCMWkVzkXhVKM+74p6G65x5j3K33ceBXf8CAHkez4OkH2bJtO30GHQbrV0RaCTwXT265ruieq6fNbM/3urHXM+7W++j85ZHs9f/be/P4qMp78f/9ZJnsC4GEEAIkbCmLFZACirj1qxVRa1u/bt2urdv9ia3FVttqVax6r22veqt91YWrrXqxi1pbraH6U0EWRRFREEwgECBASCBkXyYzeb5/zEwchplkljNzzsx83q9XXjBnzpzzPJ9nOZ/zfD7P51M+je6GHTzw+AqAgMEqIy1DLN7Eq6tXcf2td+GoOo/SRT/EcfQAde88y7U338aTwAebNg1b71DH/1D1Aiyz+lBdvYprb76Ndmc6oy6+jbSRY2nc8zHX33oXj5tQnkTE0xdSx51MT1YjefO+QWp2AUdUd9DtHu1xIlaB0JDwFSaRyEEIfbc3b1xxBxknLyG7sJipUybTtH0jO9/6M/aj+zl1/nxTdxRGayt2NHdNRqvMRl931LhJZJ19A7kTTho81rl3Kz1vP8aR/XVRKUOstu/X5p6MrWIWabYsAHoO1tK+7jlOmVzGR59sHbbeRgZEBSwTTuDcJZfw4a6D5J/+LbLKpgLgsPdgr9/C1M6PEya8gZm7oj19oeb158ie+3WyyqbisPeQ0tNGSYYjqHaP9jiREBcnIuErLIhVVq+ige/bUE9LIyPKp9HXchCAkunzGVV1CjVP3mz6oIzWm1s0t+pHq8xGX7ejvZ2R5dOOO5ZdPo2m9vaolSFW2/dZ+BVS0zMHj2WWTuJIVzt76u1B1TvU8T9cvayy+rCnvh57Vy+ZpZMA6Ny1idYt/8LecoCjzt5B01k8Y7b/k6cv9LQ0UuSWc2p6Jr1tzeRPnBpUu0d7nCRj+JtIEEXMRBI1ro6v2SWrqJTuhh1kFxYPnmO2X5iHeNjg4Eu0ymz0dfPy8+lu2HHcylB3ww7y8vOjVoZYtGdlRQW1bY04R5QOroj1NtZhy8mnsqKM1vaOoOodyvgfrl5W6cOVFRW07DpIb2Mdzu52Wja9QsGpl5M2Ygyq8bOYKCzRXq0ye6OFpy9kFZXS21hHVtlUnP29ZNhsQbd7tMdJIi80RANx1hciwp/Dp++mgeIps2h5awXZ/a2mbyLwxUobHIIlWmU2+ro/uO5qWt5aQeferQw4HXTu3UrLWyv4wXVXR60Msdq+r7evoqtuM/29nfQcqKFlzTNk08eypTeEVe9I6mWlPrxs6Q1k00fLmmdoef9v5J96OWlFY1F9nUw4aV7UHbZjERbE7DBBnvYunjKL1vUr6dy7lf62ZrL7W4Nu91j0GQl/EzziI2ZB4iUq+1B+LsBxdVi0YC5r39tkyTrFi7y9iVaZjb7uPb+8l98+8TQd7e3k5efzg+uuDuiob1QZYtGe1dWruH35fdTu2gUopkys4P7ldw7eJ5x6B3PPQPWyUh+url7Fz++6h63bP6Pk/95NVnY2Y8eMoaCggAGng5onb2bXp1uicu9kSfHjae9t27bSPwAZ6WlMnzYtpHa3Up9JBobyERNFzGLEkxO/FSYkQUgW4u3Bacb8MHnGLKqufZiU1M+9boxW/uJpjrY0WkN/v+vPbg/t/0b+7pRT4Oc/h5ToGgjFWT+O8PY/aNq+kT0bXqGraT/fvu5Gnn3id5Ya6LJFWRBig9kO4uFghsN20L5PWoPDEdZDfLHdTun/OY3q1x7jWFMTY0aO5CtnLGRGbQ18ui06CoS/awwMRE2OScXLL8PXvgYzZphWBFHELIZHuWnavpGat1+gcOGVjBg9kfaaDZabeMNx+Iy3t3pBiAoDA64/p9P15+//XsdW/uq/mHXSuRRmZKOaG0hJs9H1hTP4+33/yeLiUUFdw5D/e/5dvnxYRWCx+4/3Vx//xQWrTzjXKN4AeO3v/r9UyrD7zHb/AXBwP2yNjqk14UlPd/3ZbP7/P9z3wfx/uO8rK01VwkAUMcvhUW72bHiFwoVXDsaIyR87leKJEy2VAiXUN954fKtPSCIxCUTr7T7U30WLc84xVmEJ9P8QeRZg9f/v/8svfSmiKictqalBPcyPdXWx68Ah1IgyyM6jp7+P7pYDnPTFGZSNHx91ReHt9Rv4xUO/p2DhZWSVT+XY4b0cWv9n/mv5T2XeTBDER8xieJSV/fv2UX71fzPg7MfR0cK4slLycnOi6ugaDqGscJ275BJ6py1hZPkU0pwOUp0OuvfuIOezVfzpqSes85Af7hpiEkhcFi50PaBTUlz/hvr/cH83zDV+9d+PYh87m8zicpwpKWiVQsfRQ6Qe+JB77roj9mVKSTF0hcnKmO0La/b9BWMQH7Fw+OwzaG42/sE+zPUW2+2c0dZGS3MztgevwKYU6XqA9AEHqQ4HaXrAUhPgoPkBYPvHgc0CDGM2sHDcroTEADNAQ1MTn9TspKWzk+yCAmadMpuJU6catkKwesO7PP7s8+w+0EDZhAn8+w3Xct6SC1zfR9mx1mqcNKbMtZo849TPV58/fYuHfrkcZFVkkGi4PpjtC2v2/YXoI4qYP1avhrPPNu32Oe4/nA7TyhBNnCmpOFJTcaSmYx9wYnf0068UdsCZkkJKZiajRo+mYNRIQ3wHttXuZNWatTQePUphyWguWHI+c+bPC+kar69ew8NPPs2uffuYUFkZM982q4Ys8ORbVKd+FwpKoa0RvX0Vj3//mhPKEGo5q6tXsfRHP6bhWDf5Cy4l7+yvY1c9/OCB3/JQVpbf33rfIz8vDz3gpPHwYfoHwJaexowQt/YHKlcw9fA9zzd0SzihXCRA5vBEy/XBiOCnkYxVqwWdHq5/i99v6Ihp0h89PXDTTVBTY4zjYBDnrn//A3614lnyvnQxmWMm0trcwO43/0hhYT4tXV2UV0xg6Y03cP6FSyy1IhYKvtu+69e9TP171YyedTYtu7YMJq8dobrp2fx3Qx40Rmw1N2u7+nBx2szcQj9nwSIay88iZ9IcUtMzcfb30lW3mdKG1Wx+b21QdQikxFx/6100t/dQeOa/kVE8AUfHUVKVpiilh1H7Vp9gjvG+B7kl1G39gNYNfyY1M4fC068ypE8FW49AfXzqRf9OWdWsEz5L6APjMMKE509h+mDTJn79uycZUGnkFJdTPHU2zv0fB91mkc4fVgqX4VuWgzVbqH3l91QsWEzF6ZdIfx4CiSMWBySLH4D3RNfa3sG4C2/iwIaXw05eOxxGyNWstrFyoufcUWMovfoR0jNzB4/193bS+PRNdB45FFQd/JXTk1D78DvPU/qd36BSUtH2XpydLWSlpzDw9iMn+Eh636N25y4Gsgo4+MJ95M5aTNH0hYb0qWDrMVzCe9/Pw8lDCJ5IY4j5U3j2/OMRUmyZjDz9SrpS8+g4VEf3ppe55Zqrgg7Q690nvEMSZaURdEgiq+w29+3ftTt30d3aTN/H/2T+NfcC0p8DMZQillyOFhbG7LQZscI77UVhfh5lVbPoaWkcTBKcmp5JT28vh3sU76xbP5g2KVyMkKtZbTPUfc3vLwrH0QPHHXF9Pn61NtRy7qmvh4JS0gtHYz+823Wn9EwGBpx0HKobNMd4p9Z6d+NGyC0BoM9ud63Q9bSTVlgKuPpUn90ekXyCrYfveT0tjWSXT6PPbvf7eTh5BIu/VGNWul4s8JjwvAnFhOcdwzElNY3C8V+gmwzU9PMpnz6Xqqoq5p51AV+8bBlr3wt+IcDTJzwhibLnfp3yq/+b9HmXB51+yeh0QeG2r2//7rPbyS6fRk9L4+CxRHxuRRtRxCxCpJNIPOKbvBagv7ebgYEBetpbKJgwPeJccUbI1ay28dy3ra2N2p272Prpdra9+zb5eXmm95cpEytoeedZeg7Wogec9ByspeWdZ5ky8fj7h1rOyooKaGsk76SzaVv/PH2HdjLQ14Xj6H66N73MsqU3nJBP0DZyHHVbP6CtrY0Mmw1nfy+pWfk4Wl0Ph1ATIgcqVzD18D3Pk/A+w2bz+3k4eQSD0fkVY5GvMRpEmj/Rn7Jt72p3+UB6Eaqi4S8k0YCz3xWS6Izo5t70RyTt69u/M2w2uht2kFX0uYwS/bkVDUQRswhmJO41+63XX/La3mON6K5jdLz/EpULL6Zw/BcimqyMkKtZSZWXLb2BvaueZNeW93Bm5IK9h2Mf/pOmY+0sWjDX1ETP9y+/k/zUftrXPUfDH2+hfd1z5Kf2c//yO0+oQyjl9CTUZkCTf/K5tK19lgNPLaVjzdPccs1VLF58/gkrF1POuZzOLdXs3fo+JSOL6KrbjO5pp/ujV8NKiByoXMHUY7iE976fjWg3fys5kYwZo68XKxYvPp+H7r6NzO2vUvPkzWRufzUkXyV/yrYtJx/aGo87Fqqi4ekTXU37yRg9EYe9B0dHC6NLik1ZPYqkfX37d3Z/Ky1vraB4yizTE87HM+IjZiFi6QdgFQdQ3+S17W2tFFbMpHLhxZRMnw9EnivOCLma5aMxe95p7G1z0N/dTlZRKZWnXYQtt4DM7a+ybOkNpvqNhLuLMJhdk0Ml1PbnC9S4bQM7XnyY0tElJ+yaDCchspH1NWLX5FAYnV8xFvkarchQPmITzr82onmyunoV377uRtLnXU7+2KmMLimmoKDAFH8qI3zpZNdk6IizvnACVt0cYNVymUWiPRSNUGiljxyP0fJIZvn665+AIS88Vnn5Teb2NRNx1hdOwHxnb/+YZQa0Kmb7ghmJUb5H0keOJ1h5BOuKkMzy9ecUb5SjfKSmU6NI5va1KrIilqRY+a3IKlu1rYBV3qKNwMg+J33keIaTRzjx3ES+8Usw/UHaN7aIaVI4gUR6wCc6Vo2uHyqJZmaNJ6z84iW4MGosB/J1KxmRT2NTE/Z+B+kpMHPmSZaeLxINyTUpnICkTIkfPOYRX6KV0iVaWC1VSzIh+QqtjZFj+fbl99FTcQ77OwbI2F1PeutB2p3pUH4mtlnjSe1uo+P9FzmYVWHp+SKZEB+xJCZU3wcJGmkt4i3MgPimmEci+RomIkaN5erqVWyvqSV9/ElkjhrHQFYBe959lYLTv4kuGEN6QTG5E06icOFVNO/cYun5IpkQRSxOMFtpkaCR1sOqGy4CEayzsndfn7NgEbPnnWZKvzd7zAVbhmDOESXYWKqrVzFnwSJyR40hd1QZs+edZnoGEHApdNklE3C0HEQpRZotC2dnK6rg8ywTAJmlk+hpabT0fJFMiGkyDrCCCcr7jQ1w/et+mwqnDEZfLxmJR1NfIDOrB+++PmaeK4F355Zqqr58Fb35RTHr91YYc/f88t7jkk37MyUFW05xRTAOT2J6R9V5lC76IY6jB6h751muvfk2niS8/mHUWN5TX8+ks65i55rnYeGVZJZOIjU7j576j8kvn4yzv5c0Wxa9jXVkFZVafr5IFmRFLA6wggnK6NWXeFvNsSKJuMrh3debjraQM2kORWd+h73vvRbTfh+rMRdoNau6ehX/tWIlhectZdz3fkv2l77BgW0bSR138nFlCKWcobgimL0aGO79Y1HuBx99DDX9fHImzSE9M5essVUUnfkdusmIKAPI3lVP8sm6N/hk61Y+WfcGe1c9GfJYrqyoIDO/iKqzL6V700sceOYWUvo66fnwJfIHOulva6Zz71Za16+keMqsuJ8vEgVZEYsDrOBoa/TqSzyu5liNRFzl8O7rfXY7mfmZpJZO4qg7qXCs+r3RYy5QoNBAq1kPPvoY2XMvIWf8TJRSZJVNhYVX0vzBi/Q528IqZyiZAcxcDQz3/rEq9576elj4lUEzH7hMfUe62tlTbw/8w2EYsPfSvaUae1c7tpx8sukL+RrLlt4wKIMvXX334G74qy78MmvfW03Tjh309TvISoGynnqWxfl8kSiIIhYHWEFp8Qxw/IS7sML1kpXhTH3xhndf9yTw7j+yfzCpcKz6vZFjLpCCkKX7KD7ze37N83vq68k7+6JBUxK4HvbNzQ2cPOekkMsZipJitttAuPePVbkrKyqobWvEOaJ0sG16G+uw5eRTWVEW1jUffPQxKi++6YTwIqGWPRFfzpIBMU3GAUYtW0eC0VGhrRJlWrAW3uZWTwLvljXPMGHBBTE1vYZj9g1kFgtkPty5O7B5vrKighxnB46OFhz2HrTWdO3fTop2HFeGYMsZignTbLeBcO8fq3J7EtN31W2mv7eTngM1tKx5hmz6wu6bRpbdqEwAQuyQFbE4wYhl60gxevUlXlZz4iloarzj/Ua/p76e0rw8dJGNY+tWxvTtPtSVhaFWnAKZD0EHXM3yrBgXzvkqXV3QdqiO7k0v85Mbrw3LCT8UE6bZK/Dh3j9W5V68+HwexxWvq3b1Cj5PTH9v2H3TbJkL5iKR9eMAiYptHKEqVZKBQAiGocYo4Pe7rrV/pFunBexbRr4AhDKHmN3nw71/pOU284XLbJkL0UdSHMU5khrGGMKZ7EQJFoJhqDH6yG/+M2C/A2Ly8I+3XJPh3j+S35mtCJktc6NIlHoYjeUVMaVUPdABOAFHoMJ6SDZFTJQBYwhHjkYowbGemGQijD3D9S0rtIkVymBVoj3HJovsraDQWpWhFDErOeufrbWeNZwSloxYJV6U2bGFIiUch9hIU8PEOoOAZCwwB6uM0aEIxol7qLhm8Tz2hyOajv7JNCatEPMyHrGSIiYEwAo7DBNhMglHqYr0ARvriUkmQnMYaozGy9gJVM57fnlvXJQ/EiJ54RpOSU2mMWn2jtt4xSqmyT3AMUADj2utnxjq/GQzTRpBpEvjiWAeDbRs7gp2uCmgbCKRXaz9+8Sf0Hqcu+QSDmZV0LxzCz0tjWQVlVI8ZRZlPfWWGjuBxviOP/0H0674WVyP/eEI1qTmOxcsWjCXla++OeTvkmlMJsJzIloMZZq0SviKhVrrg0qpEuANpdRnWut3vE9QSl0HXAcwfvx4M8oYV3hPGPl5eTQda6fy4pvCjjgdzej+sfKf8LfV/6oLvzw4kQaSTSRhNmK9LV22wVuPbdu20pPVSOHCqygqnURvYx0H1q+kpafZ7KIdR6Ax3tHe7neVI5aZPaJNMGFA/IUo+fXvfsnkr/1oyCCyyTQmJVB3eFjCNKm1Puj+twn4GzDPzzlPaK3naq3nFhcXx7qIpuC75H3PL+8Nyk/D18RwdMI5tDvTsXe2hb00HsrSfSj+JEaZbTz3LJtYxahxkxgzYZLfe/v6yax9b1NUzQbR8h0KJGPP/Rq2b6KmpoZNq1/jk788yKIFkbtehuMnVF29ijkLFpE7agxZI0aTX1xG2cSqmPgZRduvybtuuaPKmD3vNL/36B+AvHnfIKtsKiollayyqeTN+wb9A4YWJ2ICjfG8/Hzq173MxhV3sPpX17BxxR3Ur3s5IkXCij5nw/nQ+TMxDqg0ulLzjjvP1xRnZHDgaMot0vGdO6qMn991D1dd+GXfiqslAAAgAElEQVQJ1B0ipq+IKaVygBStdYf7/+cB95hcLNPxffuqX/cyDzz+LFMv+neqzp0VUooSNWIsRWd8mz0b/kbJ9PlA6G+0wb7phJrvzYi0JJ57Zs35KrZxF5DSeYxj7/6VD9syueKGZdxyzSbu/MUdfn8bizyeWbqPj56+E9BMnTyZh+6+PaKJaTgZf7BpE7/+3UMMqDRyissp/9J5rHz1TYAhTbBD3e/25fexvaaW7JIJTDrrKnrzi4ZdVa2uXsX1t96Fo+o8iuddT1fDDjo+eg3ntDM4Mr4yqvkLo5130LtupYt+iOPoAereeZZrb76NJ33uYUtPIzW7AIe9h9T0TJz9vaRmF5CRbvr0exy+Y7x+3cvsW/c3UgYc1L75JwpPuZCyJT+mu2EH9W+t4PLrvx3WfczOZRku/uaKnOJyOg7VQVXV4DHfF1SjggN/sGnTsKv34RJOmwQaA08891eefPgBS7el1TDdR0wpNRHXKhi4FMOVWuv7hvpNMviI+draN664g4yTl5BdWMzUKa7JIJDt3dcnoXbnLpwZuRz+0x1Mv/Ba9mx4ha6m/WSlwbNP/C4khWc4E2KoPgJG+E947tnUl4bDlodTpWI/vJuOD/5G4ZcupvX1R/nL04/7rWc0fRqitZV7uDL7+75h+yZ2/e0hZn37F2EFyeypOIPUsTPobd5H6/o/MeKkMykpG8eofasDyuncJZdQm3sytopZ9La3kJpdiP3oftrf+ytjz7uWkgxH1HxHou2r4l03T77BnoO1tK97jlMmlx13j3OXXMKR8WfRnV5In91Ohs1Gdn/rkLIzC88Y37ZtK91kMPGC6+hKzaO79QjH3v0ruV9YSOGk2RGVP179iPyVe/eaF2j44HW+eNmyYcdVsC4Y3vdpa2vjcFMz7QdqOfbW/zDpy1cy8cxLB881Sm7htEkoY0CwePgKrfVurfXJ7r8ZwylhyYLv7pOelkayy6fRZ7cPHgu0G8XXxDC6pJjuPR+jUlKpefuvZJy8hOKv3sa4C28KyQwYzPb3UHfNRBoewvuefXY7AyoVlZKKbcxk+tuayBk3nQGVFtDUGM2wA9HaLTWcjP1935Wax4BKC7ksnjrogjEMpKSTUVZF4aJv0VbzHsd0Ntt37BiynBSUkpqeiXb0o9IzsY2eiKP9CH12e1R3U0V795Z33Txklk7C3tV+wj2WLb2Bns1/pyTDwYwvTKUkw0HP5r9bKrSFB88YnznzJL542TLKp8/F7nCSW/FFis/6DrrhY6ZOmUxZ1aywZRmvO+v8zRXO/R9zyzVXDWuKC8UFwyOftrY29h9sZCCrgPyq0xhIy+TAtvdo2r5x8Fyj5BZOm4QyBoShMV0RE/zjq6BkFZXS3bCDDJtt8FgghcV3wtBth0ireR26j5E14xyyC4sZXz6W8ulzDd9GHapiZYQi5Llnhs2Gs78PVAr2w7tJLyiht7GOnOLygBNDNEODROuBM5yM/X3fccglh1DL4qmD1ho94ISUFGylLmXK2d1GX79jyHLS1oizvxeVlo7u78V+eDdp+aPIsNlismnBGyPv5103D72Nddhy8k+4hxXCz4SKd991jateMksn0dPSCEQmy2i3TbQI1I53/uKOYV9QQ3kp88jncFMzaXlFpNmy6Du8m4wRpeTN+wZ7NrwyeK5RcgunTUIZA8LQiCJmUXwVlOIps2h5awXZ/a3DKiz+JozHf7WckpIS5iw6j6lTJlNQUAAY/yYaqmJlxEPKc8/s/lacHUfo2beNtvXPkz1+Jq3rn6d46uwhJ4ZgVvrCwXtya2tro3bnLjavfZ3W9o6InGyHk7G/77s3vUzx1NnHXSeURMoKcHYdQ9t7sTfuJjUrj473XyR9iBlk2dIb0NtX0VW3mbT0DLr3bObYmj+SM2ku2f2tUQ14Gu0Aq9516+/tpOdADS1rniGbvoBjMhp9LFp4993RJcU4Olro2r+drBGjI5ZlPAS/DUS47ehRbJu2bxzc9FDzr2fZtm3rCed65NN+oJaU1HR6DtbSuv55JixYQmp2AV1N+w2XWzhtEuoYEAJjuo9YOCSDjxj4j1kTjrO1h1j5ZpiRzsNzz4+2bKG9q5uUlDTyy6dQPHU2zv0fm7IC4b2J4JjOxtndRsf7LzJ25oKIyzScjMOJdzRUHXoqziBl9BS6D9TQuv55srKzGTvnnGFjYXkc/Wt37cLpHCA9LZW8vDymT5sW96mevOsGiikTK7h/+Z2WTzAdDL7+jQdrtrD7tSfIpo+ZM0+KuLxWr7/ReGLJHdi2kcKFV5JZOomu/dtpX/M0f3rsQb+mzG9fdyM9DsgpGUflaRdRMn0+Dds3sf/VRyjMzzNcbuG0SSRjINmwfK7JUEkWRcxokiUPmJUm+UATqhnOyZEkRD5+1+SlZOYXJWTfiQXxMg6tNI7inerqVVx29fUUnreUnPEzcfb34uhooVB3BNz0EC/9RAgOUcSEQWRyjT1WiKxtRLtL3zGGaK1MS/tYm7KJVeRecCt2h5MMm43RJcXk5eYMOQ9ImyYO8RBZX4gRkUSJF8LD7MjaRsVtkr5jDNGIXRer2FzxrBiYXfYZ06bRm6UpHD998Fjrvs+G9V+NF/kK4SPO+oIQZcx2Tk6mpMNWYLgI5dHYNRiLNo6X5OX+sELZzZ4HBOsiipggeBGNFCJmhy+I17hN8UgwD/xoPJBj0cbxrNBboexmzwOCdRHTZAJi9hJ8vBJN806sTAz+2t5s02gyEUzKrlBT3gRDLNo4FunAooVVyi6mRsEfsiKWYFhhCT7WGLWKZYW35kgI1PaLFswVk0iMCHZlyui4YrEwe8VrIFaI77ILiY8oYglGvCsToWKk4hnvJrxAbb/2vU1iEokRZj3wY2H2imcfp3guu5D4iGkywbDKEnysCMYUFCzxbsIbqu3FJBIbli29wWXO9hP7KdoY0cZDuTVEw6RqBMG4Yli17IIAsiKWcCTbEryRq1jx/tacDG3vbYaePe805ixYdIJJOhxTdbjmbd/fAUOuTEVjM4gR162uXsXkGbO46LJvsnr9uxzpdnIwq2Jwddlz/Zt+/FMAHvnNfw6aVKNVp+HKe+6SSxgzYRJX3LCMI+PPourahzky/iyuuGEZYyZMOqEs8ZBmygxZCuYjK2IJhplv5EMRrQ0ERqxieZctLyebrrV/5FBHR9y9NVu17Y3CezPFiPIWat78C7mzFjPppC/R29nEj+5+gJXPP88/1nxA9txLyDv7Io44O4bdcBHuJo1Av3vo7tuGjZRu5GaQSK9bXb2K62+9i94piyk7dxaOY4doXfsM9Rv/RcX8r/Dzu+6hR2X4vT5geJ2CSd/luadz/zHyZ11Iq8qj4903OLT5DRw9PfTpzxXJSMoSS2IVC06wHhJZPwGx2q7JaKbqiPTaiZZGxGptbyTeEek3rriD7LlfJ33UOFJ62pg6ZTK717zAzjf/zOiLlg2mkbG3HcF5ZC+tq5/i1Pnz/Moj3Ej3wfzOuz1a2zsYd+FNlE+fG/D8SOUSznXPXXIJtbkno8dMJzUzFxT0HdpJ29rnyMnJofvgTmZffY/f6wOGZgkIZjx613f1r65h7Hf+i/adGzm26Z+MOP2b2Eon0137LvbPVjN25vxh86FahVjlAhbMYajI+mKaNJloxa2y0hK8ERsIAskpUiflRNvcYLW2NxJvM3RPSyOZpZNITc+kz24HoLn2I0izkTNuOkopVKoNnZkPI8ohMz/gRo5wzdvD/c53I0mPA47pbNra2kK6z3BEap7fU18PBaWkpmeAHgDANnoi/a2NHNv3Gb29vdT861matm884fpGb3AJZjx63zOrqJTexjo6tr5NwamXk1FWBc5+MsZMpnDhlTTXfhQ3m20ikaWYNOMbUcRMJFlCTUQ6WQ8np0iUj3jfKZlMePvAeR7Azv5eMmw2ALqaG7AVjqa3sQ6A/v5+UjKysTfvJXtkaUAlO1zfuuF+56tU5JSMw9ndxuGm5pDuMxyR+gZWVlRAWyMp2okecMLAAB0fvoayZTHizH9j/Lf/g4xZF1Lz9guDypjn+kb7JQYzHr3vWXnaRbSufx770QZsJZUM2HtwdLaQkVNAZukkupob4sZHMlxZJstzJJERRcxEEm01JhCRTtbRlFMyOLhbmVDe5L03U0xYcAEta56hq24zJSOLaN33GSnaQUnVHFrXP0/PwVoGnA76GrbT/sFLVJ52EeBfyQ53k8Zwv/NVKipPu4iO91+k/UCtoZtBIt1ksmzpDejtq+ip30KK007fwRraP/wH+fO+zrgZcykfW05abhF5877OnvX/OO76Rm9wCWY8et9zVNUpjJ05H23vom/PJpztTdiycknLzKFr/3ZStCNuNtuEK8tkeY4kMuKsbyLJEmoiUifyaMop0R3crUyozsneIQgO1dczqSgb1bCaQzteobKigp/ceC0rX32TsTPn0/zBi7QdqkcPOKg8dQkl0+cD/pXscEMbDPc7340kJdPn09m8n8Mb/0zNZ68Zthkk0tAMixefz+PA7cvvo3b1CkCRhoMvzFlIYVHR4HmNjdC0d7tf879RYSGCGY/+6nv5LT9g5atvkjVmDF2Obtp2bKV708v85MZr48Y8H247JstzJJERZ30TSSbnzEicyKMtp0R2cLcy0WhX77bMz8uj6Vg7lRffZMpGjHjeCGLm3BTueEzWcRyLtkpW2RrJUM76ooiZSDxP1LFE5JSYTJ4xi6prHyYl9fOF+QGng5onb2bXp1sMuYfZDxAz7x/JvWXMxQ/RbivpC8YgiliIxHLyDPVeZj9YzCJZ653IJNOKcKwx4uEZr2MuXssdCdGss4xTYxBFLASsrP1buWyxJhkn20RD+nNgIu3fyfrw9O1TB2u2sPu1J8imj5kzTwp5VVDmmNisXCcDEkcsBGKxAyXcmC+yO8aFbNdODGKRqDoeMaJ/J2tYFu85sqOzi1aVR/6ZV+MsKA9JjjLHfI7sLI8+ooj5EI0JzFvxmrNgEdfefNuQAzyQopask6svopAmDokcgDZcjOjfyfrw9J4jDzc1k5ZXRM646fQcOxySHGWO+Zx4z8EbD4gi5kOwE1iwq1q+b1ZHJ5xDuzMde2eb3wF+zy/v5YoblrEtczopZ9/EkfFnDSpqsZhc/dXLalGbRSEVzEzsHcrvZs87jdxRZeSOGsOcBYuC+m2o/dtfIvRPd+zgwz/czcYXfs8nW7fyybo32LvqSRYtmMu5Sy6hbGIVo8ZN8psc26j6m4H3HNlnt5OanklvYx1ZRaVA8PPEUG1gRIL1eJEnJPbKtVXaQuKI+bBowVx+/btfMqDSyCkup3jqbJz7Pz4ujk0o8Y+836wA1IixFJ3xbfZs+NtgbCNPzJfq6lX8+ndPUnje0sFcea0dUDjnqzz46GNRj3nlr17X33oXA/ZeKi++yTKJaI1I9C3EL+EkRzY6sXcwv7v25ttod6Yz6uLbSBs5lsY9H3P9rXfx+DC/DaV/B0qEXnrWDAZqP6H1vRdo//QdskeOIaXrCCv+8gojT78S27gLSO1uo+P9F4dMjh1viai950hbWipd+7bR8f5LVJ19KRD8PBGoDfJysiNOsG6EPGPtv7Z48fmWbO9IsFLfFmd9LzwNkzXnq3Sl5tFxqI7uTS9zyzVXcecv7hg8LxRHWF9Hx9qdu3Bm5HL4T3dw1q0rjvstwIbNWxn3vd+iUlIBcNh7UF0tDLz9CLs+3RLz3TGfrHuDji3VLFz64LB1jRXi5J3chOOIHs3E3oF+9+Gug+Sf/i2yyqYCrrFsr9/C1M6Ph/xtoP591YVfZu17m44b+w8++pjfROi9LY1kFpXSf2Q/3ZteYv4197L+0WXkzVpM5uhKBrIKSLNl0XOwlu5NL1F13rf81ikenf6rq1dx+/L72FFTi8PpJDN/JF9Y8n0y84uCnicCtUG2cpCz6LsRJVgPJVG8vzle5j9jiHXfFmf9IPGsXpVPn0tVVRVzz7qAL162jLXvHa/0hWI68DUnji4ppnvPx6Rn559gb99TX09OcflgrjyA1PRMOg7VDb7FRdOnxl+9KCjF3tUeVF1jhRFL5VZZkhZCJxzTdLQSew/1O3tXO5mlkwaPpaZnQkHpsL/117+vuvDLrHz1zRN8Sz/dscNvInSn00lqeiaZpZPoaWkEcI3jgtJBkx0w+H2gOgVTfyuOpW6dxtxr7mPBLU9RtPAKPn3lSTrXPBX0PBFojmnv6Ig4wXooieL9+RCL/5oxWMnFRRQxL4JtmFB8tXwdHXXbIdJqXmdCQdoJSkRlRQXFU2cP5srTA0669m2je9PLMXGM9Fcv2hqx5eQfd8gKZsBIFFLZERXfhOMrGa3E3kP9zpaTf9xLlbO/F9oagxo7vv177Xub/D587f0Ov4nQU1NTcfb3HucfZcvJh7ZGMmw2V1lg8PtAdRqu/lYcS96KSmFREV88/VwqT1vC/kOHuenHPw1aWfQ3xxiRYD2URPH+lCwrKRDxjJU2tIgi5kWwDRPKLhJ/b1aP/2o5H72/4QQlYtnSG3Du/5ixM+fT/cGL7H/qB7S+/ii3XHNVTJac/dVLb19FNn0JtWMm1m+UVlwxiGfC2cUVrcTegVi0YC69RxpoeOFe9q28ndYd6+iq24zeviqssRPo4Zuegt9E6MUjR9BVt5mWNc8wYcEFtO77jGz6XOO5v5X+tmY6926ldf1KiqfMClin4epvxdUZX1k1bd/IgW3vkT7v8oiVRSMSrIeSKB5OVLKspEDEM1baDSrO+l4E6wwfanLWYB0dva/b52zj5DmhBSAMhaH8ELzr9fivlp9wLN59EWKZJNdKDqGJQjjJkaOV2Nsf1dWrWPnqm1RddittOouOQ3W0rF1J+YhsHn3oN2G1eyDncU+QUt9E6O07XqE0Lw9dZOPYupVUVlTw5MMPDNalaccO+vodZKVAWU89ywLUabj6WzHhtK+s9mx4hbx53yC7sHhQWcStLIbaFkYkWB/q98Fs1Ij2pq1Exd8z76G7b7PEs02c9X1IhmjKye7sGUsnzXh0dhYiI1rJzK04Zq3Yv31ltfqB71P81dsYXz6WgoICwLqR4YNtZ9/k9nrASUdXd8I+syLFCuNHnPVDwGhneCuapaxoToglsVyStpI/hxX7YiISjTa3aiwnK5l3PPjKKisNRqjuQSUMrGvKC7adPc+pR37zn3TrNHLP/J5lfPSsiNWfeWKajCJWNUtZzZxgRkwciI251Z+p4WDNFlrbO5g8Y1bM3mCrq1dx/a13oaafDwu/Qm1bY1AxrYTQiVacu2jEcop07MVyLIWCt6w883Brbm5cmPJCaWffOJWRmF0TGas983wRRSyKWHWQWCkgqlnKaqwCFPr6cxys2ULtK7+nYsFFVJx+Sczqe/vy+3BUnUdOxSxXeIMRpXQ5B7h9+X0yYRtMvPjwGDX2rB7s06rKohFYXcGwClZ65vlDfMSiiFWz1lvBXu7Bij4mRuO96tDa3sHo+Rcx8cxLB7+PRX1zR42h9OpHSM/MHTzW39tJ49M30XnkUNTum6zEg6+pZ+ypgjEcbmqmz25HHzvAyL1vsfm9tWYXTwiCZJg/jcAKz7yhfMRkRSyKWFULt9IbYjK80XmvGEyeMYuK0y857vvY1FfhOHqA9LFVg0ccRw8AKsr3TU6svkoErrE3Zl4J+w82kpZXRGZ+Jo68Ira//hjV1assX34hflZfzcZKzzx/iCIWRaw8SKzyoLCqshotzKrvlIkV1L3zLEVnfofM0kn0NtbR8s6zTJkY3fsK1qWyooLa7R9iq5hFmi0LAEfLQbJLJpjuPiEEh9UVDCthlWeeP2TX5BBEusvMqjudrIQVd10Zhb/+Y1Z9719+J/mp/bSve46GP95C+7rnyE/t5/7ld0b1vvHCUGM9UXebLlowl4P/epx9f7iFhhfuo+X9v9O6/nkmnXWpRGn3wcp9IJpp74TYID5iAbCCTTlZiAd/mlAZKnHzy//8F7W7dgGKKRMruH/5nTGpbyLKOVKqq1fx87vuoaahmeJFVzF++inQ2cTeVU8yMiuVw0eO0tHdy/jTvza4ucLIecCsNvH0z85xC2FEOfbmvbR/8BITZp9JybR5hvsYxbqeRt5PngWCEQzlIyaKWADECVKIBH/9Z/eaF2j44HW+eNkymdAtgOcB29TaRf7Cb5JePB5HRwtFhfkcqv2E3q3/YtS519PT3kLH+y9RdfallEyfb0hw1gcffYxPd+yIqpI3FN6O+h4fsf7mfbSv/19KCnMMLUOsFRmj7yfPAsEIJKBrGFgpEKcQf/jrP821H5E99xLLBhVMNjzhZfq728kcM5k0WxZpeUU0NR8hu/Jk+rvbsTuc5IyfSeHCK9mz4RUgsnnAO0l27gW3UnjeUg5s28iRmg9j2h88/bOgoIBxZaWk9LSh02zYj+43XEGKdTBNo+8nzwIh2ogiFgBJrCpEgr/+09XcQN6YSccdkwndPDwP2KyiUnob6wBcMdacThxHD5BVVEqGzYazv5fM0kn0tDQCkc0D3kqC0UpeKHj3z4KCAqZOmcz4gnROnT/f0GwicxYsYt2GDexr66d25y7a2tqA6NbTaMVJngVCtBFFLACROlVb2blTiD7++k+KdpDj7DjuPJnQzcPzgK087SJa1z9Pz8FaHH1dOFsaaHnnWSpPu4jRJcU4Olro2r+drBGjI95c4a0kGK3khUK0No14r/iNueweGsvPwpmSjrO7nYGsAvYfbKStrS2q9TRacUrkDUWCNZDwFQGIZFuwVVMbCbHDX//5yY3XsvLVv8dNqpVExxNepviMbzLlzK9Rt/o5upv2Ul42hvRUjS23gLzcHAp1B7vXPE02fRHvfPYOXzK6pJj9Bxvp7Ww5TsmLRX+IVtgD7xW/2p27yJk0B2fHEY68/RSl599IWlEZe7e+T1b9O1Grp9Fhg7xlteXFHfT1O0hPYdDUKXO6ECnirB8FxLlTCITsXLQWnl2TO3fXA5qpkydz3123A0SlnXwdyQ/WbGH3a0+QTR8zZ55ken+ItH96ZxPZ+ul2MkeNAz3A3iduIK9sEt1HG6G3nb8++1Tc7Jr0vqbsnhTCRSLrx5hkiBYvhIeVgwomKz0qg9lX3zP4cP3R3Q/w0N23ReWlyd9K1P2PPWiJPmHESr73ip/H9Np/ZD95ZZOYf829gy+k0a5vNMaZVXMHC/GP+IhFgWRw7hQfOCERiPWOPrBuAE4jZOHtT1Uysoiuus20rHmGCQsuiHvfKtk9KUQLUcSiQKI7d3o75FZd+zC90y/kR3c/IMqYEHfIw/VzjJCFdzaRQ3+5k9KG1UwqsnFs3cq4zyySDC/YgjmIaTIKJHr+L1miFxKFZMt1OhRGySJRze9Wzh0sxDeWWBFTSp2vlKpRSu1SSv3U7PIYgVXND0YgqwhCopDoq9ehILIYGskdLEQL01fElFKpwO+Ac4EG4AOl1D+01tvNLZkQCFlFEBKFRF+9DgWRxfAk6mqfYC6mh69QSp0K3K21/or7888AtNb/Eeg3Vg9fkejINm5BEARBCB6rh68YC+z3+twAzDepLEIQyJuzIAiCIBiDFRQx5efYCct0SqnrgOsAxo8fH+0yCcMgS/SCIAiCEDlWcNZvAMZ5fS4HDvqepLV+Qms9V2s9t7i4OGaFEwRBEARBiBZWUMQ+AKYopSqVUjbgCuAfJpdJEARBEAQh6phumtRaO5RSS4F/AanAU1rrT00uliAIgiAIQtQxXRED0Fq/BrxmdjkEQRAEQRBiiRVMk4IgCIIgCEmJKGKCIAiCIAgmIYqYIAiCIAiCSYgiJgiCIAiCYBKiiAmCIAiCIJiEKGKCIAiCIAgmIYqYIAiCIAiCSYgiJgiCIAiCYBKiiAmCIAiCIJiEKGKCIAiCIAgmIYqYIAiCIAiCSSittdllCBmlVDOwN8q3GQUcifI9rI7IQGQAIoNkrz+IDEBkACIDCF8GE7TWxf6+iEtFLBYopTZpreeaXQ4zERmIDEBkkOz1B5EBiAxAZADRkYGYJgVBEARBEExCFDFBEARBEASTEEUsME+YXQALIDIQGYDIINnrDyIDEBmAyACiIAPxERMEQRAEQTAJWRETBEEQBEEwCVHEfFBKna+UqlFK7VJK/dTs8sQKpdRTSqkmpdQ2r2NFSqk3lFI73f+OMLOM0UQpNU4p9bZSaodS6lOl1A/dx5NJBplKqfeVUh+7ZbDcfbxSKbXRLYM/K6VsZpc12iilUpVSHymlXnV/TioZKKXqlVJblVJblFKb3MeSZiwAKKUKlVIvKKU+c88LpyaTDJRSVe729/y1K6VuTjIZ/Mg9F25TSj3vniMNnwtEEfNCKZUK/A5YDEwHrlRKTTe3VDHjD8D5Psd+CryptZ4CvOn+nKg4gFu01tOABcCN7rZPJhn0AedorU8GZgHnK6UWAA8AD7llcAz4volljBU/BHZ4fU5GGZyttZ7ltVU/mcYCwH8Dq7TWXwBOxtUfkkYGWusad/vPAk4BuoG/kSQyUEqNBX4AzNVazwRSgSuIwlwgitjxzAN2aa13a63twJ+Ar5pcppigtX4HaPE5/FXgj+7//xG4JKaFiiFa60Na683u/3fgmnTHklwy0FrrTvfHdPefBs4BXnAfT2gZACilyoElwAr3Z0WSySAASTMWlFL5wBnA/wBore1a61aSSAY+fBmo01rvJblkkAZkKaXSgGzgEFGYC0QRO56xwH6vzw3uY8nKaK31IXApKkCJyeWJCUqpCmA2sJEkk4HbJLcFaALeAOqAVq21w31KMoyJh4FbgQH355Eknww08LpS6kOl1HXuY8k0FiYCzcDTbhP1CqVUDsklA2+uAJ53/z8pZKC1PgD8BtiHSwFrAz4kCnOBKGLHo/wck22lSYRSKhd4EbhZa91udnlijdba6TZFlONaIZ7m77TYlip2KKUuBJq01h96H/ZzatWvEiYAAAViSURBVMLKwM1CrfUcXG4aNyqlzjC7QDEmDZgD/F5rPRvoIkFNcMPh9oG6GPir2WWJJW7ft68ClUAZkINrPPgS8VwgitjxNADjvD6XAwdNKosVOKyUGgPg/rfJ5PJEFaVUOi4l7H+11i+5DyeVDDy4zTCrcfnLFbqX5iHxx8RC4GKlVD0u14RzcK2QJZMM0FofdP/bhMsvaB7JNRYagAat9Ub35xdwKWbJJAMPi4HNWuvD7s/JIoP/A+zRWjdrrfuBl4DTiMJcIIrY8XwATHHvirDhWo79h8llMpN/AN91//+7wN9NLEtUcfsB/Q+wQ2v9oNdXySSDYqVUofv/Wbgmoh3A28Cl7tMSWgZa659prcu11hW4xv9bWutvkkQyUErlKKXyPP8HzgO2kURjQWvdCOxXSlW5D30Z2E4SycCLK/ncLAnJI4N9wAKlVLb7+eDpA4bPBRLQ1Qel1AW43oBTgae01veZXKSYoJR6HjgLV2b5w8BdwMvAX4DxuDrl/9Va+zr0JwRKqdOBtcBWPvcN+jkuP7FkkcEXcTmfpuJ6SfuL1voepdREXKtDRcBHwLe01n3mlTQ2KKXOAn6stb4wmWTgruvf3B/TgJVa6/uUUiNJkrEAoJSahWvDhg3YDVyNe1yQPDLIxuU3PVFr3eY+ljT9wB3C53Jcu+o/Aq7B5RNm6FwgipggCIIgCIJJiGlSEARBEATBJEQREwRBEARBMAlRxARBEARBEExCFDFBEARBEASTEEVMEARBEATBJEQREwQhqVBKrVZKPRqla1+qlJKt6IIgBI0oYoIgWBal1B+UUq+G+dt/U0p1+vnq68DPvM6rV0r9ONwyCoIgRELa8KcIgiAkDokafFIQhPhEVsQEQYhLlFLLlFKfKKW6lFIHlFIrvFI0nQU8DeQopbT77273d4OmSaXUamAC8GvPee7jJ6ymKaXOcp8zyuvYd5RSe5VS3e6Vu9F+ynmRUupDpVSvUmqPUuo+dwo1QRAEUcQEQYhbBoCbgRnAVbgSUz/i/m6D+7tuYIz77zd+rvF1XAme7/E6LyiUUvOBPwBPALOAV9zX8T7nK8D/Ao+6y/k9XHnq7g/2PoIgJDZimhQEIS7RWj/s9bFeKXUr8Hel1He11nalVJvrNN04xDValFJOoGOo8wLwQ+BNr3y0tUqpLwHf9zrnduDXWuun3Z/rlFK3Ac8ppX6iJcecICQ9siImCEJcopQ6Ryn1hlKqQSnVAbyEK0FzaYyKMA141+eY7+dTgNuVUp2eP2AlkEPsyikIgoWRFTFBEOIOpdQE4J/Ak8CdwFFgDvA8LmUsUgYA5XMs3bcYQVwnBVgO/NXPd81hlEsQhARDFDFBEOKRubgUrh9prZ0ASqkLfc6xA6lBXMvfec1AtlIqX2vd7j42y+ec7cACn2O+nzcDX9Ba7wqiHIIgJCGiiAmCYHXylVK+StBOXKtNNyulXsKlAN3sc049kKmUOhf4COjWWnf7uX49sEgp9RzQp7U+AmwEuoD/UEo9BJwM/H8+v/stsEEp9TPgBeAs4Gs+59wDvKqU2gv8BXAAM4F5Wutbg6i7IAgJjviICYJgdRbhUqS8/+7E5Sy/DNfK1DXAcUFZtdYbgMdwmSubgUCKz53AOKDOfZ4n1tg3gXOBrcB1wC98rv8eLsf8fwc+wbUD826fc/4FLAHOBt53//0U2BdC/QVBSGCUbNoRBEEQBEEwB1kREwRBEARBMAlRxARBEARBEExCFDFBEARBEASTEEVMEARBEATBJEQREwRBEARBMAlRxARBEARBEExCFDFBEARBEASTEEVMEARBEATBJEQREwRBEARBMIn/B12cWAu/Bt2xAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs wind speed(northern hemisphere)\n",
    "x_values = northern_hemisphere_weather_df['Lat']\n",
    "y_values = northern_hemisphere_weather_df['Wind Speed']\n",
    "createLinearRegressionPlot(x_values, y_values, \"Latitude\", \"Wind Speed (mph)\", \"Northern\",(20, 25))\n",
    "plt.savefig(\"./output_data/Northern_Hemisphere_Wind_Speed_Latitude_Lin.png\", bbox_inches=\"tight\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above plot is a linear regression model between Wind Speed (mph), and latitude for Northern_Hemisphere cities. The result from the data showed that there is a very week, posetive correlation between Wind Speed (mph (%) and Latitude in the Northern Hemisphere cities."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Southern Hemisphere - Wind Speed (mph) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is: 0.009772113510229401\n",
      "The correlation between both factors is -0.1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a scatter plot for latitude vs wind speed (southern hemisphere)\n",
    "x_values = southern_hemisphere_weather_df['Lat']\n",
    "y_values = southern_hemisphere_weather_df['Wind Speed']\n",
    "createLinearRegressionPlot(x_values, y_values, \"Latitude\", \"Wind Speed (mph)\", \"Southern\",(-40, 25), ylim=40)\n",
    "plt.savefig(\"./output_data/Southern_Hemisphere_Wind_Speed_Latitude_Linear_Regression.png\", bbox_inches=\"tight\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The above plot is a linear regression model between Wind Speed (mph), and latitude for Southern Hemisphere. The result from the data showed that there is a very week, negative correlation between Wind Speed (mph (%) and Latitude in the Northern Hemisphere cities.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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