GamedaySample.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PitchF/x Wrangle and Plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$e^x=\\sum_{i=0}^\\infty \\frac{1}{i!}x^i$$\n",
    "\n",
    "```<video controls src=\"http://www.powerchalk.com/uploads/mp4s/110_F60BB484-0EE0-D13E-2F29-40E05E4C3518.mp4\" />```\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "name = input(\"Please enter your name:\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(\"Hello\", name)\n",
    "print(\"Hello Bob\")\n",
    "\n",
    "import ipywidgets as widgets\n",
    "dropdown = widgets.Dropdown(\n",
    "    options=['1', '2', '3'],\n",
    "    value='2',\n",
    "    description='Number:',\n",
    "    disabled=False,\n",
    ")\n",
    "\n",
    "def handle_dd_change(change):\n",
    "    print(change)\n",
    "    \n",
    "dropdown.observe(handle_dd_change)\n",
    "display(\"Hitter\", dropdown)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "caption = widgets.Label(value='The values of range1 and range2 are synchronized')\n",
    "slider = widgets.IntSlider(min=-5, max=5, value=1, description='Slider')\n",
    "\n",
    "def handle_slider_change(change):\n",
    "    caption.value = 'The slider value is ' + (\n",
    "        'negative' if change.new < 0 else 'nonnegative'\n",
    "    )\n",
    "\n",
    "slider.observe(handle_slider_change, names='value')\n",
    "\n",
    "display(caption, slider)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slider 1\n",
      "Dropdown 3\n"
     ]
    }
   ],
   "source": [
    "print(\"Slider\", slider.value)\n",
    "print(\"Dropdown\", dropdown.value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello world.\n",
      "\u001b[31mHello back.\u001b[0m\n"
     ]
    }
   ],
   "source": [
    "import requests # apache http library\n",
    "import xml.etree.ElementTree as ET # XML parsing \n",
    "import os # file and system level \n",
    "\n",
    "import pandas as pd  # dataframes, structures, analysis \n",
    "import numpy as np   # used by pandas\n",
    "\n",
    "#enable inline notebook plotting \n",
    "%matplotlib inline  \n",
    "\n",
    "'''matplotlib is a Python plotting library, inspired by MATLAB, meaning that the terms used \n",
    "(Axis, Figure, Plots) will be similar to those used in MATLAB.\n",
    "It can be used both within a Python system (via the object-oriented API) \n",
    "but also in more convenient form in Jupyter and IPython notebooks via the Pyplot interface.'''\n",
    "\n",
    "from termcolor import colored  # colored output using print\n",
    "print(\"Hello world.\")\n",
    "print(colored(\"Hello back.\", \"red\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pull Players into Dictionary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[34m<Response [200]>\u001b[0m\n",
      "\u001b[34mmyplayers.xml: 19 KB\n",
      "\u001b[0m\n",
      "Colorado Rockies\n",
      "    115629 LaTroy Hawkins\n",
      "    150212 Michael Cuddyer\n",
      "    279571 Matt Belisle\n",
      "    407822 Jorge De La Rosa\n",
      "    408047 Justin Morneau\n",
      "    434665 Nick Masset\n",
      "    453064 Troy Tulowitzki\n",
      "    453211 Drew Stubbs\n",
      "    453568 Charlie Blackmon\n",
      "    455119 Chris Martin\n",
      "    457429 Boone Logan\n",
      "    462985 Franklin Morales\n",
      "    468504 Jhoulys Chacin\n",
      "    471865 Carlos Gonzalez\n",
      "    474463 Brett Anderson\n",
      "    488681 Brandon Barnes\n",
      "    493603 Adam Ottavino\n",
      "    501647 Wilin Rosario\n",
      "    502374 Michael McKenry\n",
      "    518586 Charlie Culberson\n",
      "    518934 DJ LeMahieu\n",
      "    543022 Tyler Chatwood\n",
      "    543475 Jordan Lyles\n",
      "    548357 Christian Bergman\n",
      "    554431 Tyler Matzek\n",
      "    571448 Nolan Arenado\n",
      "    571521 Rex Brothers\n",
      "    572253 Ryan Wheeler\n",
      "    572750 Eddie Butler\n",
      "    572816 Corey Dickerson\n",
      "    592454 Tommy Kahnle\n",
      "    592621 Kyle Parker\n",
      "    592710 Josh Rutledge\n",
      "Los Angeles Dodgers\n",
      "    124604 Jamey Wright\n",
      "    277417 Josh Beckett\n",
      "    346874 Juan Uribe\n",
      "    408210 Chone Figgins\n",
      "    408236 Adrian Gonzalez\n",
      "    408307 Carl Crawford\n",
      "    425844 Zack Greinke\n",
      "    429717 Dan Haren\n",
      "    430904 Paul Maholm\n",
      "    434181 Brandon League\n",
      "    434442 J.P. Howell\n",
      "    434670 Hanley Ramirez\n",
      "    444843 Andre Ethier\n",
      "    445276 Kenley Jansen\n",
      "    451216 Brian Wilson\n",
      "    451532 Chad Billingsley\n",
      "    453198 Chris Perez\n",
      "    454560 A.J. Ellis\n",
      "    455092 Scott Elbert\n",
      "    457449 Jamie Romak\n",
      "    457759 Justin Turner\n",
      "    460077 Drew Butera\n",
      "    461314 Matt Kemp\n",
      "    475100 Scott Van Slyke\n",
      "    477132 Clayton Kershaw\n",
      "    500743 Miguel Rojas\n",
      "    508892 Carlos Triunfel\n",
      "    519437 Chris Withrow\n",
      "    543829 Dee Gordon\n",
      "    547943 Hyun-Jin Ryu\n",
      "    607162 Onelki Garcia\n",
      "    624577 Yasiel Puig\n"
     ]
    }
   ],
   "source": [
    "# url of players feed \n",
    "url = 'https://gd2.mlb.com/components/game/mlb/year_2014/month_06/day_18/gid_2014_06_18_colmlb_lanmlb_1/players.xml'\n",
    "#url = \"https://gd2.mlb.com/components/game/mlb/year_2018/month_08/day_12/gid_2018_08_12_lanmlb_colmlb_1/players.xml\"\n",
    "resp = requests.get(url) \n",
    "print(colored(resp,\"blue\"))\n",
    "xmlfile = \"myplayers.xml\"\n",
    "with open(xmlfile, 'wb') as f: \n",
    "    f.write(resp.content)\n",
    "statinfo = os.stat(xmlfile)  \n",
    "print(colored(xmlfile + \": \" + str(round(statinfo.st_size/1024)) + \" KB\\n\", \"blue\"))\n",
    "\n",
    "# Pull players into tree structure <game><team><player><player></team><team><player><player></team></game>\n",
    "tree = ET.parse(xmlfile)\n",
    "game = tree.getroot()\n",
    "teams = game.findall(\"./team\")\n",
    "playerDict = {}\n",
    "\n",
    "### Verify Player Dictionary\n",
    "for team in teams:\n",
    "    print(team.attrib.get(\"name\"))\n",
    "    players = team.findall(\"./player\")\n",
    "    for player in players:\n",
    "        print(\"   \", player.attrib.get(\"id\"), player.attrib.get(\"first\"), player.attrib.get(\"last\"))\n",
    "        playerDict[ player.attrib.get(\"id\") ] = player.attrib.get(\"first\") + \" \" + player.attrib.get(\"last\") \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Yasiel Puig'"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "playerDict[\"624577\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Clayton Kershaw No-Hitter - June 18, 2014, Dodgers vs. Rockies, 8-0 \n",
    "Jun 18, 2014 - Kershaw no-hit the Rockies while striking out 15 and not walking a single batter. There have been 283 no-hitters in baseball history, but Kershaw is the only one to have at least 15 strikeouts and no walks. Only one other pitcher has even thrown a no-hitter with at least 15 strikeouts. ... He needed only 107 pitches.\n",
    "\n",
    "#### Get Innings_All Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[34m<Response [200]>\u001b[0m\n",
      "\u001b[34mmygame.xml: 182 KB\n",
      "\u001b[0m\n",
      "Tree.root.tag = game\n",
      "inning 1\n",
      "    top {}\n",
      "    bottom {}\n",
      "inning 2\n",
      "    top {}\n",
      "    bottom {}\n",
      "inning 3\n",
      "    top {}\n",
      "    bottom {}\n",
      "inning 4\n",
      "    top {}\n",
      "    bottom {}\n",
      "inning 5\n",
      "    top {}\n",
      "    bottom {}\n",
      "inning 6\n",
      "    top {}\n",
      "    bottom {}\n",
      "inning 7\n",
      "    top {}\n",
      "    bottom {}\n",
      "inning 8\n",
      "    top {}\n",
      "    bottom {}\n",
      "inning 9\n",
      "    top {}\n"
     ]
    }
   ],
   "source": [
    "url = 'https://gd2.mlb.com/components/game/mlb/year_2014/month_06/day_18/gid_2014_06_18_colmlb_lanmlb_1/inning/inning_all.xml'\n",
    "resp = requests.get(url) \n",
    "print(colored(resp,\"blue\"))\n",
    "xmlfile = \"mygame.xml\"\n",
    "with open(xmlfile, 'wb') as f: \n",
    "    f.write(resp.content)\n",
    "statinfo = os.stat(xmlfile)  \n",
    "print(colored(xmlfile + \": \" + str(round(statinfo.st_size/1024)) + \" KB\\n\", \"blue\"))\n",
    "\n",
    "# Pull XML into tree structure\n",
    "tree = ET.parse(xmlfile)\n",
    "root = tree.getroot()\n",
    "print(\"Tree.root.tag = \" + root.tag)\n",
    "\n",
    "# Unpack the game to find innings\n",
    "for child in root:\n",
    "    print (child.tag, child.attrib.get(\"num\"))\n",
    "    for frame in child:\n",
    "        print (\"   \", frame.tag, frame.attrib) # type(frame))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Walk through innings detail via Tree Element"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[7m\u001b[32m\n",
      "Inning 1 (top)\u001b[0m\n",
      "\u001b[1m\u001b[32m   Corey Dickerson\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 4: slider\u001b[0m\n",
      "\u001b[32m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 6: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Brandon Barnes\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[32mFlyout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Troy Tulowitzki\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: slider\u001b[0m\n",
      "\u001b[32m      pitch 3: curveball\u001b[0m\n",
      "\u001b[32m      pitch 4: slider\u001b[0m\n",
      "\u001b[32m      pitch 5: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[32mGroundout\u001b[0m\n",
      "\u001b[7m\u001b[33m\n",
      "Inning 1 (bottom)\u001b[0m\n",
      "\u001b[1m\u001b[33m   Dee Gordon\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 4: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 6: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 7: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 8: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mWalk\u001b[0m\n",
      "\u001b[1m\u001b[33m   Hanley Ramirez\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 4: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 6: fb-splitter\u001b[0m\n",
      "      \u001b[4m\u001b[33mWalk\u001b[0m\n",
      "\u001b[1m\u001b[33m   Yasiel Puig\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 3: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 4: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mSac Fly\u001b[0m\n",
      "\u001b[1m\u001b[33m   Adrian Gonzalez\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: fb-splitter\u001b[0m\n",
      "      \u001b[4m\u001b[33mGroundout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Matt Kemp\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 4: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 6: fb-splitter\u001b[0m\n",
      "      \u001b[4m\u001b[33mSingle\u001b[0m\n",
      "\u001b[1m\u001b[33m   Scott Van Slyke\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mLineout\u001b[0m\n",
      "\u001b[7m\u001b[32m\n",
      "Inning 2 (top)\u001b[0m\n",
      "\u001b[1m\u001b[32m   Wilin Rosario\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 4: curveball\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Drew Stubbs\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: slider\u001b[0m\n",
      "\u001b[32m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 4: curveball\u001b[0m\n",
      "\u001b[32m      pitch 5: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Josh Rutledge\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: curveball\u001b[0m\n",
      "\u001b[32m      pitch 3: changeup\u001b[0m\n",
      "\u001b[32m      pitch 4: slider\u001b[0m\n",
      "\u001b[32m      pitch 5: slider\u001b[0m\n",
      "\u001b[32m      pitch 6: curveball\u001b[0m\n",
      "\u001b[32m      pitch 7: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 8: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mGroundout\u001b[0m\n",
      "\u001b[7m\u001b[33m\n",
      "Inning 2 (bottom)\u001b[0m\n",
      "\u001b[1m\u001b[33m   A.J. Ellis\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "      \u001b[4m\u001b[33mFlyout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Miguel Rojas\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 3: fb-splitter\u001b[0m\n",
      "      \u001b[4m\u001b[33mGroundout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Clayton Kershaw\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "      \u001b[4m\u001b[33mGroundout\u001b[0m\n",
      "\u001b[7m\u001b[32m\n",
      "Inning 3 (top)\u001b[0m\n",
      "\u001b[1m\u001b[32m   Kyle Parker\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: slider\u001b[0m\n",
      "\u001b[32m      pitch 3: slider\u001b[0m\n",
      "\u001b[32m      pitch 4: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 5: curveball\u001b[0m\n",
      "\u001b[32m      pitch 6: slider\u001b[0m\n",
      "\u001b[32m      pitch 7: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   DJ LeMahieu\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 4: slider\u001b[0m\n",
      "\u001b[32m      pitch 5: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Jorge De La Rosa\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 4: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 5: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[32mLineout\u001b[0m\n",
      "\u001b[7m\u001b[33m\n",
      "Inning 3 (bottom)\u001b[0m\n",
      "\u001b[1m\u001b[33m   Dee Gordon\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 3: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 4: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 5: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 6: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mGroundout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Hanley Ramirez\u001b[0m\n",
      "\u001b[33m      pitch 1: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 4: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mGroundout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Yasiel Puig\u001b[0m\n",
      "\u001b[33m      pitch 1: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 3: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 4: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 6: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 7: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 8: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 9: fb-splitter\u001b[0m\n",
      "      \u001b[4m\u001b[33mWalk\u001b[0m\n",
      "\u001b[1m\u001b[33m   Adrian Gonzalez\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mDouble\u001b[0m\n",
      "\u001b[1m\u001b[33m   Matt Kemp\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mDouble\u001b[0m\n",
      "\u001b[1m\u001b[33m   Scott Van Slyke\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 3: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 4: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 6: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 7: fb-splitter\u001b[0m\n",
      "      \u001b[4m\u001b[33mWalk\u001b[0m\n",
      "\u001b[1m\u001b[33m   A.J. Ellis\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 4: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 6: fb-splitter\u001b[0m\n",
      "\u001b[33m      pitch 7: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mWalk\u001b[0m\n",
      "\u001b[1m\u001b[33m   Miguel Rojas\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mDouble\u001b[0m\n",
      "\u001b[1m\u001b[33m   Clayton Kershaw\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mGroundout\u001b[0m\n",
      "\u001b[7m\u001b[32m\n",
      "Inning 4 (top)\u001b[0m\n",
      "\u001b[1m\u001b[32m   Corey Dickerson\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: curveball\u001b[0m\n",
      "\u001b[32m      pitch 3: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mGroundout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Brandon Barnes\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: slider\u001b[0m\n",
      "\u001b[32m      pitch 3: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Troy Tulowitzki\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: curveball\u001b[0m\n",
      "      \u001b[4m\u001b[32mFlyout\u001b[0m\n",
      "\u001b[7m\u001b[33m\n",
      "Inning 4 (bottom)\u001b[0m\n",
      "\u001b[1m\u001b[33m   Dee Gordon\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 3: fb-cutter\u001b[0m\n",
      "      \u001b[4m\u001b[33mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Hanley Ramirez\u001b[0m\n",
      "\u001b[33m      pitch 1: curveball\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 4: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mSingle\u001b[0m\n",
      "\u001b[1m\u001b[33m   Yasiel Puig\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "      \u001b[4m\u001b[33mDouble\u001b[0m\n",
      "\u001b[1m\u001b[33m   Adrian Gonzalez\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: curveball\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 4: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mSingle\u001b[0m\n",
      "\u001b[1m\u001b[33m   Matt Kemp\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: curveball\u001b[0m\n",
      "\u001b[33m      pitch 3: curveball\u001b[0m\n",
      "\u001b[33m      pitch 4: slider\u001b[0m\n",
      "      \u001b[4m\u001b[33mGrounded Into DP\u001b[0m\n",
      "\u001b[7m\u001b[32m\n",
      "Inning 5 (top)\u001b[0m\n",
      "\u001b[1m\u001b[32m   Wilin Rosario\u001b[0m\n",
      "\u001b[32m      pitch 1: slider\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: slider\u001b[0m\n",
      "\u001b[32m      pitch 4: curveball\u001b[0m\n",
      "\u001b[32m      pitch 5: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Drew Stubbs\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[32mGroundout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Josh Rutledge\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: curveball\u001b[0m\n",
      "\u001b[32m      pitch 4: slider\u001b[0m\n",
      "\u001b[32m      pitch 5: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[32mGroundout\u001b[0m\n",
      "\u001b[7m\u001b[33m\n",
      "Inning 5 (bottom)\u001b[0m\n",
      "\u001b[1m\u001b[33m   Scott Van Slyke\u001b[0m\n",
      "\u001b[33m      pitch 1: curveball\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mSingle\u001b[0m\n",
      "\u001b[1m\u001b[33m   A.J. Ellis\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: curveball\u001b[0m\n",
      "      \u001b[4m\u001b[33mForceout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Miguel Rojas\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: slider\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 4: slider\u001b[0m\n",
      "      \u001b[4m\u001b[33mGrounded Into DP\u001b[0m\n",
      "\u001b[7m\u001b[32m\n",
      "Inning 6 (top)\u001b[0m\n",
      "\u001b[1m\u001b[32m   Kyle Parker\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: curveball\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   DJ LeMahieu\u001b[0m\n",
      "\u001b[32m      pitch 1: slider\u001b[0m\n",
      "\u001b[32m      pitch 2: slider\u001b[0m\n",
      "\u001b[32m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 4: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 5: curveball\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Ryan Wheeler\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 4: curveball\u001b[0m\n",
      "\u001b[32m      pitch 5: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[7m\u001b[33m\n",
      "Inning 6 (bottom)\u001b[0m\n",
      "\u001b[1m\u001b[33m   Clayton Kershaw\u001b[0m\n",
      "\u001b[33m      pitch 1: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: sinker\u001b[0m\n",
      "\u001b[33m      pitch 4: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 6: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 7: curveball\u001b[0m\n",
      "      \u001b[4m\u001b[33mFlyout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Dee Gordon\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 3: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 4: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 6: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 7: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mWalk\u001b[0m\n",
      "\u001b[1m\u001b[33m   Hanley Ramirez\u001b[0m\n",
      "\u001b[33m      pitch 1: fb-cutter\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mFlyout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Yasiel Puig\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mGroundout\u001b[0m\n",
      "\u001b[7m\u001b[32m\n",
      "Inning 7 (top)\u001b[0m\n",
      "\u001b[1m\u001b[32m   Corey Dickerson\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: slider\u001b[0m\n",
      "\u001b[32m      pitch 4: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mField Error\u001b[0m\n",
      "\u001b[1m\u001b[32m   Brandon Barnes\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 4: curveball\u001b[0m\n",
      "\u001b[32m      pitch 5: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Troy Tulowitzki\u001b[0m\n",
      "\u001b[32m      pitch 1: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mGroundout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Wilin Rosario\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 4: slider\u001b[0m\n",
      "\u001b[32m      pitch 5: curveball\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[7m\u001b[33m\n",
      "Inning 7 (bottom)\u001b[0m\n",
      "\u001b[1m\u001b[33m   Adrian Gonzalez\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: 2-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: changeup\u001b[0m\n",
      "\u001b[33m      pitch 4: 2-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 5: slider\u001b[0m\n",
      "\u001b[33m      pitch 6: 2-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Matt Kemp\u001b[0m\n",
      "\u001b[33m      pitch 1: slider\u001b[0m\n",
      "\u001b[33m      pitch 2: slider\u001b[0m\n",
      "      \u001b[4m\u001b[33mDouble\u001b[0m\n",
      "\u001b[1m\u001b[33m   Scott Van Slyke\u001b[0m\n",
      "\u001b[33m      pitch 1: slider\u001b[0m\n",
      "      \u001b[4m\u001b[33mFlyout\u001b[0m\n",
      "\u001b[1m\u001b[33m   A.J. Ellis\u001b[0m\n",
      "\u001b[33m      pitch 1: 2-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: slider\u001b[0m\n",
      "\u001b[33m      pitch 3: slider\u001b[0m\n",
      "\u001b[33m      pitch 4: 2-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 5: slider\u001b[0m\n",
      "      \u001b[4m\u001b[33mLineout\u001b[0m\n",
      "\u001b[7m\u001b[32m\n",
      "Inning 8 (top)\u001b[0m\n",
      "\u001b[1m\u001b[32m   Drew Stubbs\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: curveball\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Josh Rutledge\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: slider\u001b[0m\n",
      "\u001b[32m      pitch 3: slider\u001b[0m\n",
      "\u001b[32m      pitch 4: curveball\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Kyle Parker\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[32mGroundout\u001b[0m\n",
      "\u001b[7m\u001b[33m\n",
      "Inning 8 (bottom)\u001b[0m\n",
      "\u001b[1m\u001b[33m   Miguel Rojas\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 4: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mStrikeout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Clayton Kershaw\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mGroundout\u001b[0m\n",
      "\u001b[1m\u001b[33m   Dee Gordon\u001b[0m\n",
      "\u001b[33m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 3: slider\u001b[0m\n",
      "\u001b[33m      pitch 4: slider\u001b[0m\n",
      "\u001b[33m      pitch 5: 4-seam fb\u001b[0m\n",
      "\u001b[33m      pitch 6: slider\u001b[0m\n",
      "\u001b[33m      pitch 7: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[33mLineout\u001b[0m\n",
      "\u001b[7m\u001b[32m\n",
      "Inning 9 (top)\u001b[0m\n",
      "\u001b[1m\u001b[32m   DJ LeMahieu\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[32mGroundout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Charlie Culberson\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "      \u001b[4m\u001b[32mFlyout\u001b[0m\n",
      "\u001b[1m\u001b[32m   Corey Dickerson\u001b[0m\n",
      "\u001b[32m      pitch 1: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 2: 4-seam fb\u001b[0m\n",
      "\u001b[32m      pitch 3: curveball\u001b[0m\n",
      "\u001b[32m      pitch 4: slider\u001b[0m\n",
      "      \u001b[4m\u001b[32mStrikeout\u001b[0m\n",
      "\u001b[7m\u001b[33m\n",
      "Inning 9 (bottom)\u001b[0m\n",
      "Total pitches: 257\n"
     ]
    }
   ],
   "source": [
    "frames = [\"top\", \"bottom\"]\n",
    "pitchDictionary = { \"FA\":\"fastball\", \"FF\":\"4-seam fb\", \"FT\": \"2-seam fb\", \"FC\": \"fb-cutter\", \"\":\"unknown\", None: \"none\",\n",
    "                    \"FS\":\"fb-splitter\", \"SL\":\"slider\", \"CH\":\"changeup\",\"CU\":\"curveball\",\"KC\":\"knuckle-curve\",\n",
    "                    \"KN\":\"knuckleball\",\"EP\":\"eephus\", \"UN\":\"unidentified\", \"PO\":\"pitchout\", \"SI\":\"sinker\", \"SF\":\"split-finger\"\n",
    "                    }\n",
    "totalPitchCount = 0\n",
    "\n",
    "innings = root.findall(\"./inning\")\n",
    "for inning in innings:\n",
    "    for i in range(len(frames)):\n",
    "        color = \"green\" if i == 0 else \"yellow\" #show top of inning in green; bottom in yellow\n",
    "        print(colored(\"\\nInning \" + inning.attrib.get(\"num\") + \" (\" + frames[i] + \")\", color, attrs=['reverse']))\n",
    "        fr = inning.find(frames[i])\n",
    "        if fr is not None:\n",
    "            for ab in fr.iter('atbat'):\n",
    "                #battername = ab.get('batter')\n",
    "                battername = playerDict[ab.get('batter')]\n",
    "                abPitchCount = 0\n",
    "                print (colored(\"   \" + battername, color, attrs=['bold']))\n",
    "                \n",
    "                pitches = ab.findall(\"pitch\")\n",
    "                #print(pitches)\n",
    "                for p in pitches:\n",
    "                    abPitchCount = abPitchCount + 1\n",
    "                    totalPitchCount = totalPitchCount + 1\n",
    "                    verbosePitch = pitchDictionary[p.get(\"pitch_type\")]\n",
    "                    print(colored(\"      pitch \" + str(abPitchCount) + \": \" + verbosePitch, color))\n",
    "                print(\"      \" + colored( ab.attrib.get(\"event\"), color, attrs=['underline']))\n",
    "print(\"Total pitches: \" + str(totalPitchCount))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load Inning Detail in to Dataframe\n",
    "#### gameday pitch fields definitions: https://fastballs.wordpress.com/2007/08/02/glossary-of-the-gameday-pitch-fields/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pitch 0 speed:93.3 frame:top\n",
      "pitch 1 speed:93.3 frame:top\n",
      "pitch 2 speed:94.6 frame:top\n",
      "pitch 3 speed:90.5 frame:top\n",
      "pitch 4 speed:93.8 frame:top\n",
      "pitch 5 speed:85.0 frame:top\n",
      "pitch 6 speed:93.4 frame:top\n",
      "pitch 7 speed:94.4 frame:top\n",
      "pitch 8 speed:88.0 frame:top\n",
      "pitch 9 speed:72.4 frame:top\n",
      "pitch 10 speed:87.2 frame:top\n",
      "pitch 11 speed:93.8 frame:top\n",
      "pitch 12 speed:90.1 frame:bottom\n",
      "pitch 13 speed:90.8 frame:bottom\n",
      "pitch 14 speed:90.5 frame:bottom\n",
      "pitch 15 speed:91.8 frame:bottom\n",
      "pitch 16 speed:91.2 frame:bottom\n",
      "pitch 17 speed:92.4 frame:bottom\n",
      "pitch 18 speed:92.6 frame:bottom\n",
      "pitch 19 speed:92.9 frame:bottom\n",
      "pitch 20 speed:91.7 frame:bottom\n",
      "pitch 21 speed:87.4 frame:bottom\n",
      "pitch 22 speed:92.3 frame:bottom\n",
      "pitch 23 speed:92.4 frame:bottom\n",
      "pitch 24 speed:92.5 frame:bottom\n",
      "pitch 25 speed:84.5 frame:bottom\n",
      "pitch 26 speed:91.4 frame:bottom\n",
      "pitch 27 speed:83.3 frame:bottom\n",
      "pitch 28 speed:88.8 frame:bottom\n",
      "pitch 29 speed:93.7 frame:bottom\n",
      "pitch 30 speed:93.3 frame:bottom\n",
      "pitch 31 speed:93.2 frame:bottom\n",
      "pitch 32 speed:84.5 frame:bottom\n",
      "pitch 33 speed:93.4 frame:bottom\n",
      "pitch 34 speed:84.3 frame:bottom\n",
      "pitch 35 speed:92.4 frame:bottom\n",
      "pitch 36 speed:88.7 frame:bottom\n",
      "pitch 37 speed:92.8 frame:bottom\n",
      "pitch 38 speed:85.3 frame:bottom\n",
      "pitch 39 speed:93.5 frame:bottom\n",
      "pitch 40 speed:92.0 frame:top\n",
      "pitch 41 speed:92.1 frame:top\n",
      "pitch 42 speed:92.2 frame:top\n",
      "pitch 43 speed:72.6 frame:top\n",
      "pitch 44 speed:92.5 frame:top\n",
      "pitch 45 speed:84.6 frame:top\n",
      "pitch 46 speed:93.1 frame:top\n",
      "pitch 47 speed:74.5 frame:top\n",
      "pitch 48 speed:87.4 frame:top\n",
      "pitch 49 speed:92.6 frame:top\n",
      "pitch 50 speed:76.1 frame:top\n",
      "pitch 51 speed:87.6 frame:top\n",
      "pitch 52 speed:86.4 frame:top\n",
      "pitch 53 speed:86.7 frame:top\n",
      "pitch 54 speed:74.1 frame:top\n",
      "pitch 55 speed:93.1 frame:top\n",
      "pitch 56 speed:88.2 frame:top\n",
      "pitch 57 speed:91.1 frame:bottom\n",
      "pitch 58 speed:86.8 frame:bottom\n",
      "pitch 59 speed:91.5 frame:bottom\n",
      "pitch 60 speed:85.3 frame:bottom\n",
      "pitch 61 speed:82.4 frame:bottom\n",
      "pitch 62 speed:92.2 frame:bottom\n",
      "pitch 63 speed:86.2 frame:bottom\n",
      "pitch 64 speed:93.1 frame:top\n",
      "pitch 65 speed:85.8 frame:top\n",
      "pitch 66 speed:85.7 frame:top\n",
      "pitch 67 speed:94.9 frame:top\n",
      "pitch 68 speed:74.5 frame:top\n",
      "pitch 69 speed:87.3 frame:top\n",
      "pitch 70 speed:94.0 frame:top\n",
      "pitch 71 speed:95.0 frame:top\n",
      "pitch 72 speed:94.3 frame:top\n",
      "pitch 73 speed:94.1 frame:top\n",
      "pitch 74 speed:89.1 frame:top\n",
      "pitch 75 speed:86.8 frame:top\n",
      "pitch 76 speed:94.4 frame:top\n",
      "pitch 77 speed:93.3 frame:top\n",
      "pitch 78 speed:93.7 frame:top\n",
      "pitch 79 speed:93.5 frame:top\n",
      "pitch 80 speed:94.4 frame:top\n",
      "pitch 81 speed:90.3 frame:bottom\n",
      "pitch 82 speed:84.0 frame:bottom\n",
      "pitch 83 speed:85.6 frame:bottom\n",
      "pitch 84 speed:86.6 frame:bottom\n",
      "pitch 85 speed:82.7 frame:bottom\n",
      "pitch 86 speed:92.9 frame:bottom\n",
      "pitch 87 speed:86.5 frame:bottom\n",
      "pitch 88 speed:91.9 frame:bottom\n",
      "pitch 89 speed:82.3 frame:bottom\n",
      "pitch 90 speed:92.7 frame:bottom\n",
      "pitch 91 speed:87.4 frame:bottom\n",
      "pitch 92 speed:86.3 frame:bottom\n",
      "pitch 93 speed:83.4 frame:bottom\n",
      "pitch 94 speed:83.3 frame:bottom\n",
      "pitch 95 speed:92.9 frame:bottom\n",
      "pitch 96 speed:86.6 frame:bottom\n",
      "pitch 97 speed:87.1 frame:bottom\n",
      "pitch 98 speed:92.1 frame:bottom\n",
      "pitch 99 speed:85.0 frame:bottom\n",
      "pitch 100 speed:91.7 frame:bottom\n",
      "pitch 101 speed:93.5 frame:bottom\n",
      "pitch 102 speed:89.1 frame:bottom\n",
      "pitch 103 speed:92.5 frame:bottom\n",
      "pitch 104 speed:91.8 frame:bottom\n",
      "pitch 105 speed:83.8 frame:bottom\n",
      "pitch 106 speed:81.7 frame:bottom\n",
      "pitch 107 speed:83.1 frame:bottom\n",
      "pitch 108 speed:92.7 frame:bottom\n",
      "pitch 109 speed:83.8 frame:bottom\n",
      "pitch 110 speed:83.3 frame:bottom\n",
      "pitch 111 speed:93.5 frame:bottom\n",
      "pitch 112 speed:89.6 frame:bottom\n",
      "pitch 113 speed:92.3 frame:bottom\n",
      "pitch 114 speed:88.2 frame:bottom\n",
      "pitch 115 speed:92.2 frame:bottom\n",
      "pitch 116 speed:84.3 frame:bottom\n",
      "pitch 117 speed:92.8 frame:bottom\n",
      "pitch 118 speed:92.7 frame:bottom\n",
      "pitch 119 speed:92.7 frame:bottom\n",
      "pitch 120 speed:92.9 frame:bottom\n",
      "pitch 121 speed:92.0 frame:bottom\n",
      "pitch 122 speed:91.7 frame:top\n",
      "pitch 123 speed:72.8 frame:top\n",
      "pitch 124 speed:86.0 frame:top\n",
      "pitch 125 speed:92.5 frame:top\n",
      "pitch 126 speed:84.9 frame:top\n",
      "pitch 127 speed:86.8 frame:top\n",
      "pitch 128 speed:93.6 frame:top\n",
      "pitch 129 speed:74.1 frame:top\n",
      "pitch 130 speed:90.4 frame:bottom\n",
      "pitch 131 speed:84.4 frame:bottom\n",
      "pitch 132 speed:85.6 frame:bottom\n",
      "pitch 133 speed:73.6 frame:bottom\n",
      "pitch 134 speed:85.3 frame:bottom\n",
      "pitch 135 speed:90.7 frame:bottom\n",
      "pitch 136 speed:86.3 frame:bottom\n",
      "pitch 137 speed:91.5 frame:bottom\n",
      "pitch 138 speed:90.8 frame:bottom\n",
      "pitch 139 speed:87.1 frame:bottom\n",
      "pitch 140 speed:91.1 frame:bottom\n",
      "pitch 141 speed:72.1 frame:bottom\n",
      "pitch 142 speed:92.0 frame:bottom\n",
      "pitch 143 speed:92.5 frame:bottom\n",
      "pitch 144 speed:91.5 frame:bottom\n",
      "pitch 145 speed:74.5 frame:bottom\n",
      "pitch 146 speed:75.0 frame:bottom\n",
      "pitch 147 speed:85.7 frame:bottom\n",
      "pitch 148 speed:83.4 frame:top\n",
      "pitch 149 speed:91.8 frame:top\n",
      "pitch 150 speed:88.1 frame:top\n",
      "pitch 151 speed:73.0 frame:top\n",
      "pitch 152 speed:86.6 frame:top\n",
      "pitch 153 speed:92.7 frame:top\n",
      "pitch 154 speed:92.5 frame:top\n",
      "pitch 155 speed:92.5 frame:top\n",
      "pitch 156 speed:73.2 frame:top\n",
      "pitch 157 speed:87.3 frame:top\n",
      "pitch 158 speed:93.0 frame:top\n",
      "pitch 159 speed:71.8 frame:bottom\n",
      "pitch 160 speed:89.7 frame:bottom\n",
      "pitch 161 speed:92.4 frame:bottom\n",
      "pitch 162 speed:91.9 frame:bottom\n",
      "pitch 163 speed:75.6 frame:bottom\n",
      "pitch 164 speed:91.3 frame:bottom\n",
      "pitch 165 speed:87.5 frame:bottom\n",
      "pitch 166 speed:92.6 frame:bottom\n",
      "pitch 167 speed:88.7 frame:bottom\n",
      "pitch 168 speed:92.1 frame:top\n",
      "pitch 169 speed:91.8 frame:top\n",
      "pitch 170 speed:74.6 frame:top\n",
      "pitch 171 speed:85.0 frame:top\n",
      "pitch 172 speed:86.2 frame:top\n",
      "pitch 173 speed:94.9 frame:top\n",
      "pitch 174 speed:94.2 frame:top\n",
      "pitch 175 speed:75.3 frame:top\n",
      "pitch 176 speed:93.3 frame:top\n",
      "pitch 177 speed:92.6 frame:top\n",
      "pitch 178 speed:92.8 frame:top\n",
      "pitch 179 speed:73.3 frame:top\n",
      "pitch 180 speed:88.1 frame:top\n",
      "pitch 181 speed:91.2 frame:bottom\n",
      "pitch 182 speed:95.9 frame:bottom\n",
      "pitch 183 speed:95.8 frame:bottom\n",
      "pitch 184 speed:95.3 frame:bottom\n",
      "pitch 185 speed:96.0 frame:bottom\n",
      "pitch 186 speed:95.4 frame:bottom\n",
      "pitch 187 speed:82.6 frame:bottom\n",
      "pitch 188 speed:95.8 frame:bottom\n",
      "pitch 189 speed:89.3 frame:bottom\n",
      "pitch 190 speed:89.8 frame:bottom\n",
      "pitch 191 speed:96.3 frame:bottom\n",
      "pitch 192 speed:95.3 frame:bottom\n",
      "pitch 193 speed:95.0 frame:bottom\n",
      "pitch 194 speed:95.3 frame:bottom\n",
      "pitch 195 speed:90.7 frame:bottom\n",
      "pitch 196 speed:94.8 frame:bottom\n",
      "pitch 197 speed:94.8 frame:bottom\n",
      "pitch 198 speed:96.3 frame:bottom\n",
      "pitch 199 speed:92.4 frame:top\n",
      "pitch 200 speed:92.8 frame:top\n",
      "pitch 201 speed:86.0 frame:top\n",
      "pitch 202 speed:85.8 frame:top\n",
      "pitch 203 speed:92.5 frame:top\n",
      "pitch 204 speed:92.5 frame:top\n",
      "pitch 205 speed:92.3 frame:top\n",
      "pitch 206 speed:73.1 frame:top\n",
      "pitch 207 speed:86.0 frame:top\n",
      "pitch 208 speed:86.5 frame:top\n",
      "pitch 209 speed:93.1 frame:top\n",
      "pitch 210 speed:92.4 frame:top\n",
      "pitch 211 speed:93.2 frame:top\n",
      "pitch 212 speed:87.0 frame:top\n",
      "pitch 213 speed:74.4 frame:top\n",
      "pitch 214 speed:92.8 frame:bottom\n",
      "pitch 215 speed:93.6 frame:bottom\n",
      "pitch 216 speed:86.4 frame:bottom\n",
      "pitch 217 speed:92.3 frame:bottom\n",
      "pitch 218 speed:81.9 frame:bottom\n",
      "pitch 219 speed:93.5 frame:bottom\n",
      "pitch 220 speed:82.8 frame:bottom\n",
      "pitch 221 speed:82.2 frame:bottom\n",
      "pitch 222 speed:81.8 frame:bottom\n",
      "pitch 223 speed:94.0 frame:bottom\n",
      "pitch 224 speed:82.6 frame:bottom\n",
      "pitch 225 speed:82.2 frame:bottom\n",
      "pitch 226 speed:92.7 frame:bottom\n",
      "pitch 227 speed:83.8 frame:bottom\n",
      "pitch 228 speed:91.1 frame:top\n",
      "pitch 229 speed:91.6 frame:top\n",
      "pitch 230 speed:73.2 frame:top\n",
      "pitch 231 speed:92.4 frame:top\n",
      "pitch 232 speed:86.2 frame:top\n",
      "pitch 233 speed:85.2 frame:top\n",
      "pitch 234 speed:74.7 frame:top\n",
      "pitch 235 speed:93.6 frame:top\n",
      "pitch 236 speed:90.6 frame:bottom\n",
      "pitch 237 speed:91.6 frame:bottom\n",
      "pitch 238 speed:91.6 frame:bottom\n",
      "pitch 239 speed:92.2 frame:bottom\n",
      "pitch 240 speed:94.0 frame:bottom\n",
      "pitch 241 speed:90.8 frame:bottom\n",
      "pitch 242 speed:90.5 frame:bottom\n",
      "pitch 243 speed:91.4 frame:bottom\n",
      "pitch 244 speed:93.1 frame:bottom\n",
      "pitch 245 speed:93.7 frame:bottom\n",
      "pitch 246 speed:84.2 frame:bottom\n",
      "pitch 247 speed:88.4 frame:bottom\n",
      "pitch 248 speed:93.5 frame:bottom\n",
      "pitch 249 speed:86.1 frame:bottom\n",
      "pitch 250 speed:91.9 frame:bottom\n",
      "pitch 251 speed:93.0 frame:top\n",
      "pitch 252 speed:93.7 frame:top\n",
      "pitch 253 speed:94.3 frame:top\n",
      "pitch 254 speed:94.5 frame:top\n",
      "pitch 255 speed:73.6 frame:top\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pitch 256 speed:86.5 frame:top\n",
      "257 pitches cataloged. Top: 107. Bottom: 150.\n"
     ]
    }
   ],
   "source": [
    "frames = [\"top\", \"bottom\"]\n",
    "pitchDF = pd.DataFrame(columns = ['pitchIdx', 'inning', 'frame', 'ab', 'abIdx', 'batter', 'stand', 'speed', \n",
    "                                       'pitchtype', 'px', 'pz', 'szTop', 'szBottom', 'des'], dtype=object)\n",
    "\n",
    "totalPitchCount = 0\n",
    "topPitchCount = 0 # pitches thrown by home team\n",
    "bottomPitchCount = 0 # pitches thrown by visiting team\n",
    "\n",
    "for inning in innings:\n",
    "    for i in range(len(frames)):\n",
    "        fr = inning.find(frames[i])\n",
    "        if fr is not None:\n",
    "            for ab in fr.iter('atbat'):\n",
    "                #print(ab)\n",
    "                battername = playerDict[ab.get('batter')]\n",
    "                standside = ab.get('stand')\n",
    "                abIdx = ab.get('num')\n",
    "                abPitchCount = 0\n",
    "                pitches = ab.findall(\"pitch\")\n",
    "                for pitch in pitches:\n",
    "                    if pitch.attrib.get(\"start_speed\") is None:\n",
    "                        speed == 0\n",
    "                    else:\n",
    "                        speed = float(pitch.attrib.get(\"start_speed\"))\n",
    "                    pxFloat = 0.0 if pitch.attrib.get(\"px\") == None else float('{0:.2f}'.format(float(pitch.attrib.get(\"px\"))))\n",
    "                    pzFloat = 0.0 if pitch.attrib.get(\"pz\") == None else float('{0:.2f}'.format(float(pitch.attrib.get(\"pz\"))))\n",
    "                    szTop = 0.0 if pitch.attrib.get(\"sz_top\") == None else float('{0:.2f}'.format(float(pitch.attrib.get(\"sz_top\"))))\n",
    "                    szBot = 0.0 if pitch.attrib.get(\"sz_bot\") == None else float('{0:.2f}'.format(float(pitch.attrib.get(\"sz_bot\"))))\n",
    "                    print(\"pitch \" + str(totalPitchCount) + \" speed:\" + str(pitch.attrib.get(\"start_speed\")) + \" frame:\" + frames[i])\n",
    "                    abPitchCount = abPitchCount + 1\n",
    "                    totalPitchCount = totalPitchCount + 1\n",
    "                    if frames[i]=='top':\n",
    "                        topPitchCount = topPitchCount + 1\n",
    "                    else:\n",
    "                        bottomPitchCount = bottomPitchCount + 1\n",
    "                    inn = inning.attrib.get(\"num\")\n",
    "                    verbosePitch = pitchDictionary[pitch.get(\"pitch_type\")]\n",
    "                    desPitch = pitch.get(\"des\")\n",
    "                    \n",
    "                    #add row to dataframe\n",
    "                    pitchDF.loc[totalPitchCount] = [float(totalPitchCount), inn, frames[i], abIdx, abPitchCount, battername, standside, speed,\n",
    "                                               verbosePitch, pxFloat, pzFloat, szTop, szBot, desPitch]\n",
    "\n",
    "print( str(totalPitchCount) + \" pitches cataloged. Top: \" + str(topPitchCount) + \". Bottom: \" + str(bottomPitchCount) + \".\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Verify Pitch Data Frame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "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>pitchIdx</th>\n",
       "      <th>inning</th>\n",
       "      <th>frame</th>\n",
       "      <th>ab</th>\n",
       "      <th>abIdx</th>\n",
       "      <th>batter</th>\n",
       "      <th>stand</th>\n",
       "      <th>speed</th>\n",
       "      <th>pitchtype</th>\n",
       "      <th>px</th>\n",
       "      <th>pz</th>\n",
       "      <th>szTop</th>\n",
       "      <th>szBottom</th>\n",
       "      <th>des</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>idx</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.3</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>1.86</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.3</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>2.75</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Swinging Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>94.6</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>1.33</td>\n",
       "      <td>3.66</td>\n",
       "      <td>1.71</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>90.5</td>\n",
       "      <td>slider</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>0.36</td>\n",
       "      <td>3.53</td>\n",
       "      <td>1.58</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>3.47</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>85.0</td>\n",
       "      <td>slider</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>3.33</td>\n",
       "      <td>3.48</td>\n",
       "      <td>1.61</td>\n",
       "      <td>Called Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>Brandon Barnes</td>\n",
       "      <td>R</td>\n",
       "      <td>93.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.05</td>\n",
       "      <td>2.59</td>\n",
       "      <td>3.53</td>\n",
       "      <td>1.60</td>\n",
       "      <td>In play, out(s)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>94.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.03</td>\n",
       "      <td>1.09</td>\n",
       "      <td>3.64</td>\n",
       "      <td>1.59</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>88.0</td>\n",
       "      <td>slider</td>\n",
       "      <td>-1.39</td>\n",
       "      <td>0.61</td>\n",
       "      <td>3.58</td>\n",
       "      <td>1.71</td>\n",
       "      <td>Swinging Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>72.4</td>\n",
       "      <td>curveball</td>\n",
       "      <td>0.59</td>\n",
       "      <td>4.08</td>\n",
       "      <td>3.38</td>\n",
       "      <td>1.75</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>87.2</td>\n",
       "      <td>slider</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>1.75</td>\n",
       "      <td>3.58</td>\n",
       "      <td>1.71</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>93.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.96</td>\n",
       "      <td>3.39</td>\n",
       "      <td>3.58</td>\n",
       "      <td>1.71</td>\n",
       "      <td>In play, out(s)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>13</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>90.1</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>0.71</td>\n",
       "      <td>3.29</td>\n",
       "      <td>1.48</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>14</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>90.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>1.23</td>\n",
       "      <td>3.28</td>\n",
       "      <td>1.48</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>15</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>90.5</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.66</td>\n",
       "      <td>2.45</td>\n",
       "      <td>3.28</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Called Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>16</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>91.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>1.59</td>\n",
       "      <td>3.35</td>\n",
       "      <td>1.41</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>17</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>91.2</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.51</td>\n",
       "      <td>2.84</td>\n",
       "      <td>3.22</td>\n",
       "      <td>1.41</td>\n",
       "      <td>Called Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>18</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>6</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>92.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>2.61</td>\n",
       "      <td>3.36</td>\n",
       "      <td>1.48</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>19</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>7</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>92.6</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.20</td>\n",
       "      <td>2.81</td>\n",
       "      <td>3.36</td>\n",
       "      <td>1.48</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>20</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>92.9</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>0.36</td>\n",
       "      <td>3.39</td>\n",
       "      <td>1.52</td>\n",
       "      <td>Ball In Dirt</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>21</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>91.7</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.09</td>\n",
       "      <td>2.07</td>\n",
       "      <td>3.51</td>\n",
       "      <td>1.63</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>22</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>87.4</td>\n",
       "      <td>fb-cutter</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>2.02</td>\n",
       "      <td>3.51</td>\n",
       "      <td>1.63</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>23</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>92.3</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-1.65</td>\n",
       "      <td>1.03</td>\n",
       "      <td>3.55</td>\n",
       "      <td>1.65</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>24</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>92.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>0.87</td>\n",
       "      <td>3.61</td>\n",
       "      <td>1.84</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>25</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>92.5</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>1.09</td>\n",
       "      <td>1.23</td>\n",
       "      <td>3.48</td>\n",
       "      <td>1.74</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    pitchIdx inning   frame ab abIdx           batter stand  speed  pitchtype  \\\n",
       "idx                                                                             \n",
       "1          1      1     top  1     1  Corey Dickerson     L   93.3  4-seam fb   \n",
       "2          2      1     top  1     2  Corey Dickerson     L   93.3  4-seam fb   \n",
       "3          3      1     top  1     3  Corey Dickerson     L   94.6  4-seam fb   \n",
       "4          4      1     top  1     4  Corey Dickerson     L   90.5     slider   \n",
       "5          5      1     top  1     5  Corey Dickerson     L   93.8  4-seam fb   \n",
       "6          6      1     top  1     6  Corey Dickerson     L   85.0     slider   \n",
       "7          7      1     top  2     1   Brandon Barnes     R   93.4  4-seam fb   \n",
       "8          8      1     top  3     1  Troy Tulowitzki     R   94.4  4-seam fb   \n",
       "9          9      1     top  3     2  Troy Tulowitzki     R   88.0     slider   \n",
       "10        10      1     top  3     3  Troy Tulowitzki     R   72.4  curveball   \n",
       "11        11      1     top  3     4  Troy Tulowitzki     R   87.2     slider   \n",
       "12        12      1     top  3     5  Troy Tulowitzki     R   93.8  4-seam fb   \n",
       "13        13      1  bottom  4     1       Dee Gordon     L   90.1  4-seam fb   \n",
       "14        14      1  bottom  4     2       Dee Gordon     L   90.8  4-seam fb   \n",
       "15        15      1  bottom  4     3       Dee Gordon     L   90.5  4-seam fb   \n",
       "16        16      1  bottom  4     4       Dee Gordon     L   91.8  4-seam fb   \n",
       "17        17      1  bottom  4     5       Dee Gordon     L   91.2  4-seam fb   \n",
       "18        18      1  bottom  4     6       Dee Gordon     L   92.4  4-seam fb   \n",
       "19        19      1  bottom  4     7       Dee Gordon     L   92.6  4-seam fb   \n",
       "20        20      1  bottom  4     8       Dee Gordon     L   92.9  4-seam fb   \n",
       "21        21      1  bottom  5     1   Hanley Ramirez     R   91.7  4-seam fb   \n",
       "22        22      1  bottom  5     2   Hanley Ramirez     R   87.4  fb-cutter   \n",
       "23        23      1  bottom  5     3   Hanley Ramirez     R   92.3  4-seam fb   \n",
       "24        24      1  bottom  5     4   Hanley Ramirez     R   92.4  4-seam fb   \n",
       "25        25      1  bottom  5     5   Hanley Ramirez     R   92.5  4-seam fb   \n",
       "\n",
       "       px    pz  szTop  szBottom              des  \n",
       "idx                                                \n",
       "1   -0.52  1.86   3.40      1.51             Foul  \n",
       "2   -0.37  2.75   3.40      1.51  Swinging Strike  \n",
       "3   -1.67  1.33   3.66      1.71             Ball  \n",
       "4   -2.00  0.36   3.53      1.58             Ball  \n",
       "5   -0.26  3.47   3.40      1.51             Foul  \n",
       "6   -0.28  3.33   3.48      1.61    Called Strike  \n",
       "7    0.05  2.59   3.53      1.60  In play, out(s)  \n",
       "8    0.03  1.09   3.64      1.59             Ball  \n",
       "9   -1.39  0.61   3.58      1.71  Swinging Strike  \n",
       "10   0.59  4.08   3.38      1.75             Ball  \n",
       "11  -0.60  1.75   3.58      1.71             Foul  \n",
       "12   0.96  3.39   3.58      1.71  In play, out(s)  \n",
       "13  -0.75  0.71   3.29      1.48             Ball  \n",
       "14  -0.77  1.23   3.28      1.48             Ball  \n",
       "15   0.66  2.45   3.28      1.51    Called Strike  \n",
       "16  -2.36  1.59   3.35      1.41             Ball  \n",
       "17   0.51  2.84   3.22      1.41    Called Strike  \n",
       "18  -0.27  2.61   3.36      1.48             Foul  \n",
       "19   0.20  2.81   3.36      1.48             Foul  \n",
       "20  -0.98  0.36   3.39      1.52     Ball In Dirt  \n",
       "21   0.09  2.07   3.51      1.63             Foul  \n",
       "22  -0.83  2.02   3.51      1.63             Foul  \n",
       "23  -1.65  1.03   3.55      1.65             Ball  \n",
       "24  -0.26  0.87   3.61      1.84             Ball  \n",
       "25   1.09  1.23   3.48      1.74             Ball  "
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pitchDF.head(25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['pitchIdx', 'inning', 'frame', 'ab', 'abIdx', 'batter', 'stand',\n",
       "       'speed', 'pitchtype', 'px', 'pz', 'szTop', 'szBottom', 'des'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#pitchDF.tail(3)\n",
    "pitchDF.dtypes\n",
    "pitchDF.columns\n",
    "#pitchDF.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lines = pitchDF.plot.line(x='pitchIdx', y='speed', figsize=[12,6])\n",
    "#lines = pitchDF.loc[pitchDF['frame']=='top'].plot.line(x='pitchIdx', y='speed', figsize=[12,6])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 257 entries, 1 to 257\n",
      "Data columns (total 14 columns):\n",
      "pitchIdx     257 non-null int32\n",
      "inning       257 non-null object\n",
      "frame        257 non-null object\n",
      "ab           257 non-null object\n",
      "abIdx        257 non-null object\n",
      "batter       257 non-null object\n",
      "stand        257 non-null object\n",
      "speed        257 non-null float64\n",
      "pitchtype    257 non-null object\n",
      "px           257 non-null float64\n",
      "pz           257 non-null float64\n",
      "szTop        257 non-null float64\n",
      "szBottom     257 non-null float64\n",
      "des          257 non-null object\n",
      "dtypes: float64(5), int32(1), object(8)\n",
      "memory usage: 21.1+ KB\n"
     ]
    }
   ],
   "source": [
    "pitchDF['pitchIdx'] = pitchDF['pitchIdx'].astype('int')\n",
    "pitchDF.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0xf636e50>"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ObXkuNout4OtEWyIDWg8A4NZ+t/LI+Y/QIrkFreq04rmLnuOqHleVe7zp66Zz/jvnM+qDUaw+qNVjlAqn7o27896Y9/hkwieM7jI63MNRVVIPKB4YeoAzwjCWsgzBv+FNPDDoFI+Zh5QtHA58V+FnzPXk8sDiBxjw1gCu//R6jmUfq/AxIo2mc1RS55c7syN1h99tV/e4mhlXzAjo8dtPbKfP//r41UNMiUth3oR5pbZ5Dq904DTgOPJBYAdGAzPDOahaJ9WZysUzLubXw79iYnLvuffy1NCnKtX2+5UVr3D/4vsLdkgn2hL5+aaftYpMDfHD3h9YvGsxDewNuL739STGJp76QUop4Euko2Ib4Doqv3VsMzAMOIbMV74FTAzGAMuU5kxj+rrpZOZmcknnS+jTrE859/YCNyFdJUGC40+QtuylmYv8PPKraiQAC4HzAh7fxTMuZumepTg9TmwWGy3rtGTTbZtIsJX1nOGjHQtDrF5CPb+vY4yYCrVJTolLwePz+N3m9rlJiU8JyviCaxGQjQTQIG+i2cDbBK9wvgf4Ke/Y5wCR+HMIr/oJ9fll8i+czDlJfEx8qZsDAzXlpyl+JYay3dk8/O3DTLt0Go0SGwVjuGG2C9gCdEAuAIPtV+AQ0BtoHoLjV967697l1i9uxel2Eh8Tz39++Q+//ulXDaSVOqV/Ac8j56FE4D1gMZIvXFQg56tuwD4gNe//QxtupTpT6flqT447juP2uXnmh2eY/YfZjOw0soxHWJFz+FQKc7jL8xyFATRIvvd/KAyi3cCPSIrIOSWOdyz7GN/u/rZgM6Hb5+a44zjf7/2eizpcFPD3GWk0naOSXhz+InabHathJdYaS92Euvyt/98wTVNexN7y0x2aJDVhct/JJNoSMTBItCUyosMIejWJxPavFZ3pTMN/Q8Wp5CCbLUYC44COwM4KPmftUTe+bpUCaMCvvFC+L3d+SceXO7LiwIoqHTv83ga6A1cDfYBngnhsE/gT8nq9CuiMXGRGjr8s/EvBBjWnx8mBzAPM2jgr3MNSKsI5gacoDBSzgVXAsmL3q8j5ygAaUB3zldNWT+NY9jFyvbn4TB8Ot4O7FtwVwCPtnDqAhvLjgGzgTGAUcCXQBfDf6F6ZFdNooEF0JfVv1Z9Vk1fx+AWP89SQp9h460ayXFm0frE1Lf/dkuSnk5m+dnq5x/jPiP/w3pj3eOT8R5h26TRmj5sdoS+0i4AkCj8I7JTevjUNOBdoCtQB/kJgtTFfAdYBWUAGcuV+Y5VHrcp2T/97/FrZA7i8LjJyM5g4N7RLjqGVDtyGnBDT8/5+DPgtSMdfCryPnGjTkZPHH4ikGrDZLv+WuR6fh/TcSN1roVSkyKZkSGRB3udFReb5Ks2Zhsvn8rstIzcjiM9wH/451Hbgz3n/fgbYSuHP5Chwq9+jG9obMrTdUBJiJHXDZrHR0N6Qga0jpVpJ5Wg6Ryk2HNnApHmT2HNyD/Ex8eR6c6kfX59XRr7it+zQtVFXujYq7Px29htncyDzQEGtz1u/uJV+zftxeuPTS30ewzAY03UMY7qOCe03VGV1gNXAA8iO3izgG2S56lUgP4d7MrCGwh2/ryNXp+VvcJNl96Itp30EL+hRRe1K28V1n1zHthPbaFWnFU63k70Z/jMGBzIOhGl0wXCQkh9rscAeJLWjqn4v5bZM5PUbGXl9wzsMZ+FvC8n15gKSanZh+wvDPCpVUV6fl79/83feW/8e8dZ4nhz65Ck3C6uqaIDMKm+jMHXRRFITiorM89WozqN4ecXLBU174mPig7xB9Qrks/U/gA2JB/ID4K1AbpH7epFYwd8n4z/h0aWPsnzvcjo36MyzFz4bkfnQFaEz0cUcdxxn0DuD+PXQr5xwnuBA5gGOO46zPXU7l394OeuPrC/1cVmuLL8AGqS98upDNaXqQTNgOrLjeAeyWWILshlhKNL1KD8fKl82JZfCStMf/ytcGxJ8q2Byup0MfGsgP+3/ieOO4+xM3YnT4/SbkbYYlijfXNiGkh9rboKXF92bkrPOLYiUABpgxhUzGNV5FHXi6tCqTitmj5utnSej0D+/+ydTV07lcNZhdqfvZvL8ySzetTjcw4pa6w6vY+KciVw28zI+3/55KfcwkPznAUh6QxdksqhpsftF5vnqvDbn8eboN2mW1IyUuBQmnD6BV0YGu+vlaORntIDCyTMo+TOJQ1al/cXFxPHU0KdYfv1y3hz9ZoX2kUUqnYku5uf9P+MzfX7BcD6X18WCHQtKPSEl2hKJs8b5bRY0MWlVp1VIx1u9TOALCq/SQa44vwV+RgJtg8IgI57AZv+uRwLwGUgAdBrS2ali1h1exze/f0O9+HpM6D4hKFe4mbmZfLjpQ7JcWQzrMIxujbpV+ZgAi3ctZu3htbSv154xp42pljSeDUc3kO3Oxmf6APCaXnI8OVzT4xreXvs2NouNxkmNmTNuTsjHEjp24DPkw96DvBZnELzNf2cgS5f3Ih+fycgJJXIkxyVH+e9QAXyw4QO/zb8Ot4OPNn2kqwoB8Pg8zN40mwOZBzi35bmkxKcw4K0BBdWwFu9azBuj32Bij+Kpa005dem24JyvQmFij4mlfE/BsBhYC7QHxlAyP/oupNvhx8jPpCcyY13zaRBdTFJsUkGQUZzNYiMpNqnU/zMMgxlXzODqj6/GaljxmT6u6HoFg9sODuFoq5uBBMZZpfyfAwlYUpDlLRNZGrsjgONagDeRXdFOJOCpWFD52bbPmDBnAl7Ti81i44WfXmDV5FVVCqTTc9I5439ncCT7CF6flwe/fZD5E+czpN2QSh8T4J9L/smUn6bg8rqItcZySedLmDV2VsgD6aTYpBIVYTw+Dw8MfIDnLnqO9Nx0WiS3wGopvhM92pyP5OQdApoQ/FniO5ET6QlkFlo/RqOJ1+dl7eG1uLwuzmh2RpU36YZKcpz/Zi+rYY3Q6k2RxevzMnzGcH7Z/wtun5sYSwx9mvbxvyDxOHhi+ROVDDirfr6KLv8EpiCrzLHAJcAs/L9nK1Ly9nje/Zr5/b9pmmw6tomTOSfp2aQndeLqVNPYQ0/rRBfj9XkL0jnyc4sAYq2xNElswvpb11M3vm6Zj9+Vtos1h9bQPLk557Y8NwwbBZ1IoBuq552KbDBwlPJ/XYDlwA/IjOAFyFJX6DWb0ozDWYcLvrbb7Lw4/EVu7ntzpY/5wo8v8NC3DxXklgJ0btCZbXdsq/Qx05xpNJ3StKDMD8gqxtJJS+nbvG+ljxsI0zQZ8+EYFu1ahMPtwG6zM7rzaD4Y+0GQXqe5SEAZzCDczDtuZAY6wZeDLIXW5JNy+OR4chgyfQjrj6zHYlion1Cfn278iWbJzcI9tBK+/u1rxswag8PjIMYSQ3JsMutuWUerlJq0uhl8C3cu5MrZV5LlKpzssWDBh//kWJcGXdh6x9bqHl6USUNm54umaSYiG6wDO1/5TB8T50zk8x2fY7PYiLHEsHTS0jL3ikUKrRNdSVaLlSV/XMK01dPYlbaLpNgkHG4HDRIacEu/W8oNoAHa12tP+3rtq2m0RW1ASu4cRDYCzkFylYPtdmSGeXrec+SX8rMjM3SNgMtD8LzlK74LOdeTywnHiSod82j2Ub8AGqQWZ1WczDlJjCXGL4iOscRwwlm1sQbCMAzmjpvL22vfZtPRTfRq2ovrel0XhAA6Gylr9DUyS3MvUiqqqsd9B9nh7UJK1n2JzPzWRAeR9+8GZLZnKnBDWEdUEz37/bP8evhXcjyyMczpcXLbF7fxyYRPwjyykoZ1GMZ3k75jzuY5JMYmcuMZN9KiTk19/QfPCeeJEiU8DcMgwZpQMDFmt9m58+w7wzG8KHMSCROLBtExyCpcYD7c+CFf7PiiYCXAwGD8nPFsvG1jMAcaNhpElyLWGssdZwWShhAp3EjAnN9C8yRwGVK7svimiGAYnvfnZuARZPb7ZqT7USC2IpU89iKbOF5DAv/KG9JuCF//9nVBcBpnjaty2sXwDsOZunJqwZs/Piae4R2GV+mYrVJa0SChATmenIK0IRPzFJ2lgsdqsXJTn0B/T4G6A1iCpPH4gJeBHpy6Kkt5ViMXbPm74Dchec7RvFE3DbgF2T/QHqle0zHv/y4HNiI/vxzkgrQHkbBhqSbZeHRjQQANks606dimMI6ofGe2OJMzWxS+BjJyM7jti9tYvnc5req04vVLX/erEBVtTNPk5RUv8/KKl7EaVh45/5EqVyDp36o/XtNb8LXVsNK1UVdevvhlHlnyCE6Pk5v73Fzsc/BH5D2XClwKvIBczNZ2rZCqJTlQMJNvIvX3A7MjdYdfKo2Jye8nS6tyFJ20OkeNsI+S6RUxSC3LUBqMVN9YiQTFgcw8Hkd28v6ABNEfIzlWVTNjzAyGthtKnDWO+gn1eWP0G5zd8uwqHXNo+6G8NPwl6sbVJc4ax8iOI/nfqP9V6ZgxlhiW/HEJ3Rt1x2ax0SalDV9f83WU71Jegn95o2xkI0pxWchF13jgv0Dpew/ET8X+34tsbKmu9LN9yGaZq4H5QTieibQA/hR53S9FZtcnIDPOq5DvMZ8XObGrU9mXvo+7FtzF1XOvZv628n9XZ7Y4s6BOLUCsJZa+zUKbRhVMo2eOZs7mOexN38uP+36k/1v9OZZ97NQPjFCvrX6Nv3/zd3am7mTbiW1Mnj/5lL/DU2lbty2fTfiM5snNsVls9Gvej4XXLGRw28Esu34ZKyevZHLfyUVW4LYhvRDWALuRTYK3VGkMgZmDTDTcjezfiEQxyOd7dyQ1sw2y4hj4+apH4x4lKkB1bRi9F37FaU501MtBEvon438StiOBSKSVtvoEmIQUZM9nQzaClZ8qUxUHMg7w1c6viIuJ47Iul5XYtKOq4lxkdjVfLPB3pIVuPheSQ7cDCbjtSLevt8s45hzkdVK0cUh9KrKMWHkHkVngdOQ9ZQdeRFZbKusw0A7/+rLlSUR+Nn+ownPWfAczD9Lj1R6k56TjNb2n3Avh9roZ8+EYvv39WwzDoH299iydtJT6CfUrOYJMpBpMDrI617KSxymf2+tm1sZZTJo3yW/je3JsMm9d9hZXdrsyJM8bav2m9StRBvayLpfx6YRPq3EUU5DPq6Jdhu34f/YE20vAg8jklxX5bNuIlJCtWUzT5I4v7+DNX9/EZrVRN64uS69fGqa018BpTnSt4ATORhpAWJATfjzypryOUwfQx5FZsXZAvdAN0088JWcTTWQzVeB8po9tx7dhYtKlQZdyK0psOLKBAW8NwGt6sWDhwW8fZM3Na2hgb1Dh0avS/A84j8KZ42bAX4vdZxkyy5M/Y+1AOv+9hFR0KW5M3nF/Rl4fJpKHXxUHkIu1zkiQWpZ3keAo/6LUgexQr0oQHYf/RW55kpA0jivKvVdGbgY7U3fSPLk5TZNCkbYVTEeB/UjJy+BVmHh33btk5mYWLN873A7+8c0/GNV5FGnONKwWK50bdMZiyKKrzWpj/sT57Enfg8vrokO9DlWoRpOKLGsfR16fVmRjda8qf19Fub1uzn/nfNYfWV+icpSJ6TezHm2KV08yMPwqYJmmyY7UHbi8LhraG3Iw8yDt6rajXkIwz1fxSChUNIiu2Pmo4h6jcPXYi3zezKSwA2DNYRgGUy+ZyoODHiQ9J50O9TsQa605qTIaREe1N5G8Z2eR25KB2fgXQi8uPyC5DZkF9iBv4GB2NyrtOQ0kd7sNMu4c5Ir/BipShizblc2F713IhiMbAOjSsAtL/rikzLI5t395O1murILa365MF8/98BzPXvRs5b8dVURPJM99MfJ7HIl/4X2Q4Ll49piB/4mrKCvwVd6fY0gKUOcqjPEhJM8xLu/Yiyk7ry+XkgFvWeMMVD3gWqQ0VGmVbfJZkA2Vl1NelZOlu5dy6cxLMQwDl9fF00Oe5u5z767iGEPlv8A9yAqFD0nhuqjcRwQq15Prl/8KsrGs5b9bYrNKJYD85fz8UnaGYdC2bttTHDn/86o8LyDL8EU3Xd2GpKoFz+zNs1l/ZH1BjeN8cdY4Wqe0juq60Y8NfoxRM0cV5MzabXbuH3A/IH0ZRn0wih/2/YDX58XldZEUm4TX9DLzipmMPi3w85VHcGkeAAAgAElEQVRpmuVsoJ4IPIG8xz3IZ9ejVfiuAlH888SL/+uodOV/H5GteXJzmicHq15/5NCc6KiUieQR34l/AA3y5iwrgDaRJfYEpM6tE0mrcCAfJJkhGOvvSJAVg2xy/B6ZXXwQWa5/hYoWZX9kySOsPbyWbHc22e5sNh3dxP2L7i/z/oeyDvk1z3H5XOzP2F/B70OVrxkSJF5JyQAapD1sHIUfOXHIbGt5qwFW5HU+iaoF0MuRGe9c5PWeRvkXjGPxL6lnB/5YhefP9zrwf8jPorTSj/HAhXnPX3YA7fV5uWzWZWS6MsnIzSDHk8ODSx5k09FI3CC3E6nWkoP87LOQGfbc8h4UsLHdxpZa59nExOV14XA7WHlgJU8uezLAI76FbHK2IYH+yXLuu5+Sgc/h0u5YJUeyjuD2+QddBgYPDXqIX276hbiYUM+aBt/2E9s57ZXTuPC9C7Hb7Fze5XLuOOsOVk5eSY8mPQCY8uMUvt/7PQ63g1xvLiYmma5MHG4HEz+eSGbuqc9Xx7KPMfCtgdget1H3mbp8tOmjUu5VH9k/dC8yoTMTObeG0jX4f07GIsUASrc/Yz99p/Ul5vEYGj7XkAU7IqvBU22mQXRUugFpR1pcLDColNtdyExQS+BxSj+BWZHUjmAykZnnTcgM1BEkeElDZgbfRoL5il1Zrzm0xm+Hfa43lzWH1pR5/2Hth/ktedptdkZ0HFGh51RVlQL8grweOiKbC7+keuohb6ZkCtFByp5d7g4sRIL8zkhqynOneI4FSGpVb6TaTGl7TSxIBZvlwKvA6XnHPx35mVyNzNKW77jjeInSizGWGLYej8Sat9soWeXAR7A2UnVv3J2F1yykR+MeJcqa5XN6nCXybku3HKk0k5/KswwJdsoyHP9AKJ5gzbAXNbD1QKxG4UVVjCWGAa0H8NCgh8ps/hXJPD4Pg98ZzPYT2/GZPo47jrP498U8POhhv0ojaw6t8evVUFSOO4fz3j6P5XuWl/tcV3x4BSsOrMBreknPTWfSp5NYe3htKfdsDDyNrO4Wv8D+HbmY74ZsOCxvJSlQLyOvtc7AOcj5vOyJghEzRrDu8Dp8po8TzhNcOftKdqbuDMI4VFVpEB2VvqFkIGwgM1yl5Y1ej5y0D1J2RQQPUs4mmI6V8pxWpJpH4NKcaTy29DFu/+J2vtj+Bb2a9iLOWjj7EmeNo3fT3mU+fsrwKYzsNBKrYSXWEstfzvkL1/Qs7+QYbN8iH5iPEIqZqujRDtnZvQN5nVZX16rTKBmsN6P8RkADkTa225ALz/LyZpciM/ArkBmte5BAeilS4eNB5H1Q1I3IRqJteX/vQKoClJerLRrYG2Cz+I/d4/PQuUFVZutDpRMlZ2sNgll6c2Drgfx8089+FQCKio+J54ymZwRwpO/w/1x1Ib/DslyFzF7GIq+Pi5ENqMF1ZoszeW3Ua9htdiyGhb7N+jJ33NygP0912Zu+l4zcDL/VQathLRHc9m7au8x8bx8+1h1Zx4j3R5QRFEvqw0/7f/KbxfeZPpbtWVaB0aYhF8cLgS3I51Yw+iDEAM8i7/+f8p6jdNmubLYe3+qXtmQxLPy076cqPP9cJPXoaUKzAl17aE50VGqAvLnzxSHNLYpv5gIJYD9CguTSWJGTwHsEP6hJoeSMnBdpyHJqR7OP8sX2L7hv8X1k5Gbg8rp4Z907/Ov8f3F649PZfmI7AO3qtuO5i8qeKYyPiWfOuDl4fV4shqWac8pmIgGTE3m7vUZN3YVd/X5AZol6IdU0ynI+0rTlFQo3DAWzucYb+M9OOZCT03EKf+//QxqpVL0zXowlhk/Gf8LlH16O1bCS683lkUGPFCyDR5bOyM/iAeRn70H2bAS3A6XdZmfW2FmMnzseq2Ely5VFrDWWGEsMPZr04KFBDwVwlEZ54yr6uyxvA5uB5M7+C/mclQutw1mH+W73d9htdoZ3GB6UdIvrel3HtT2vxWt6ibFE92m7fkL9Eukpbp+bRnb/88K9/e9l0a5FrDq4Co/PU9ADoGjw7XA7mLlhZqmTKIZhUCeuDmk5hefKGEtMiecp31L890jkIBdbGVTXJECCLYEYSwxeb5HcfxMaJVbk+yjqMSSAdyDvyXeQ8qHRu0E1nLTEXVT6DlleMpHFhJZIE4rSZrFM5MRQfDbIhgTPryHLkpV9Q57K/wH/QE4yMchy51zKW8bPdmXz3e7vuPrjq8nx5JRYuk6OTSbt/jQ2Ht2IiUn3xt0j+MTSCsmdzGdDZjbLzuFWgbgDSQfKr0rzIvCnUzxmN5JS1JXgngBvzBtL0c/SWEp2+XoYWY0IxCHkhN2GshYMU52pbD+xnRbJLSK0FbSJVETxIgHmfmRmOnRVcU44TrAjdQfNkpqR6kzFarHSvXH3guoc5XMCZyEXZl7k5/4x8vkYmHWH1zHonUEFVTTa1m3Lzzf+TGLsqVcYapMnlz3JU98/hdfnxWaxMabrGKZfPr3EBIfP9LH52GZcXhcNEhpwzhvncDi7cDXPalj5x3n/4LELHiv1eeZunst1n16Hz/QRY4nh9Eans/z65dis5a1CFfUFJfcLxSDlL0tf+QiFN9e8yV1f3SXfhxFD/1b9WXDNggBf10X5kGC56GdTErIXQMtpFhVoiTsNoqPWNqTCQB1kI1J5b+gHkFm4bOQDIBE5mV8JtA7tMAFZrlqZ91yjKS+L6PNtnzN+7ni/jn7FxVnjyHko0Hq74dYImZHMZyDL+4+HZzg1wjqkWkfRGcM4pIZ0OIKVDUit7PzqCXYkiC6+Ke1e4PlTHMuLpAnMQwLPjkg6ULSVY8xFlr2/Q17zvZFUnkjP4c1BLvJPAhcgebCBO/P1M1l1sPBcFWeN49HBj3L/QL1oLm7ZnmWsPbyW9vXac0mnSwJaIXzz1ze5a8FdONwODAyS45JZd8u6cqutrDu8juV7l9PQ3pCxXcdWIIAGubDqBexBAk87sp/jrQocIzhWHljJz/t/pnlycy4/7fJKlmZ0I5NqRc+ticBUgrN5uubQOtE1Xpe8P4F4GjkZf4nMWj9E9aYTnJv3p3ypzlQmzJ3g1yK0uPiYeEZ3CWUpvmCbgGxWyd8gE09wcuoi3SGkmcpq5LX2HlJLOhgOUDKf2YpcrIQjiO6BdBf8NxKE3YRsNHyNwkA/AbnYPZVXgc8pzM3dgmxmmh3E8VaHp5Cl8PyL3TXA35DvL5LFIxs89yIzcxuA5sAHyCx1+Q5kHPD7OtebW6NaHAfToDaDGNSmtI3wZbvxjBtpmNCQ9ze8T524Ojww8IFTlivs1bQXvZpWtnZ3AjIB9ARSaWYwoa/cUbriLeArx4ZUAMpPUwGZ1BpSxeOWxok0gfsUeV89hxRFqFl0JjoqfIu8iV3IRqVx4R1OiKw6uIqh7w4lIzejxP8ZGNSNr8vYbmP5z4j/lCjSH7ncSOrGbKSG94tUZHk4evVEAsD8XPzEvK+DkXZwAMm1LXqx1YjSg+vi3MgqwELkgnIK0DYIYyrOg3RBm4XMvr5AYO3tr0Ga0BTVDtgV1NGF3nBk5rmoM5BgOjAen4fHlj7Gwp0LaZnSkinDpgRQ3zkYfMjrazeFubDJSBBV/uTD+Dnjmbd1XkEKmtWw0q5uO27uezP39L+nEsvvSgVbFnJhvgTZ4DsN6SYbbDcie4LyJ5DsSHfPoSF4ruDTmegaYzlwKYUBw6/IB/vEch6zBdlMmN+5sDpSNqquVZ1WBZtHirIaVu4+526ev+j5KCw0b0NmKP8d7oFUo5NI85Wim1ktyGzt+CAcvwVyUTIemU1pgDRlyUCWWTOQ90xpM4c3Isv1DmSWfGneWBsGYVxFxSCpG6dK3yjudGT2y4nPhBnrDbYcM+nR5AMmdp8YRa//0/Gf7bIhueiBu2HeDczdMheH28HqQ6tZunspW+/YSkN7sH9XxR1CqqkUbeJiIDOS5V8ITRs1jcNZh/lh7w94TS9e08vOtJ38a+m/OJp9lOeHVfT1oFSwJQEzquF5Pse/j4UDyTGPjiA6UHpZHPGmUnLn/5Ry7r8SqW/7GLJzvAcygxL5miQ1kVnmmARS4lJIiEng/4b/H44HHbww7IUoCiBqu9Ly802C21p+JLK5J7+MYgukvvNDwJPIsuv8Yo/xIMvyRdvt5iIBeKT4C9AL00xk/JwYbvsCnvlhNzfPv5lJ8yaFe3AV8C9kNjcJmcVtSUXKv3l8Hj7Y8EFBapfX9JLrzeWrndXxu6pDyWpGXgJ5/abEp7B00lKeGvKUXxlOh9vBa6tfC+ooVc2VnpPOlzu+5Jtd35Q6sVQxGUh62SJkUu4z/De7h0rx90sswZ+sCD+diY54pQWO5QWT91O4wcmHLN08iVQPiHyT+05mWIdhbD+xnU4NOlXT8m0w5DeTqYuWCopFcmL/iQSp8UA/gj8DYUHKKIJ0A0ylcNe5E7gbmZHOZ1Dx91N1iwe+Z9uJOXy544843BLMZbuz+WjTRzw6+NEwvycykZ9tI8r/udVBZvpXIO+NM5HvzQSOIuk9ZW8yNDDkotkseXvoJSOpOFOQnO545KLs1Ps68pVW1q56xq6i3a60XZzzxjnkenLx4aN9vfb8eMOPlazwshdZkXMg71sv8r7zIbnKoWwZ/wrShdGFrEQ1REqN1iw6Ex3x7sZ/Zs+OlIwrS/GKAD4kuIgebeq24aIOF0VRAL0NSZlpjwTROuMklSjmI/nHryKzIJXZTR6ok5Qs45hV7GsrsrEl//2UX6lmZAjHVRlW0nPaEmPxD8RsFltArY5DwwT+jKTOtEZyKE+c4jE2YACyoTQeSZM4HSnbVx9ZNSid1WLlhjNuKGigEmPEkGhLZGSn6vpdPYqk/TyO5IzOoyIXW384/Q8k2BIKcqATbYncfc7dIRinqmlu+fwWTjhPkOHKIMuVxbbj23j+x8qmAd2ObLjORFZXzLx/ZxOc1LryXAj8jEzivYBs0g3mamRk0JnoiHc2EoA8i2yKup3y8/ImIkFd/pK1nfLzp4v6Aqm/m59T+io6qxqIS5CUgvxps3uQq/8+YRtRZBhCaHZ9l2Y00ko3PwcvARhTyv3+i1Sq+QoJBp8kEj/YezTpQUJMAlmuLHymD4thISUuJYxdCWciVWbym2RsRDqhflaBY0xAOjPmp0q8hLQ8HlXqvf878r90rNeRr3Z+ReuU1jw59EnqJVTn72o4ld0E3Dy5OatvXs3D3z7MkewjjO02llv63hLc4akaaVfaLr/yrrne3ILGYhW3E//c/qLSkPdzWZux5yEXzlnIjPJ/KWxWFagelN8IK/ppEB0V+iMv6EDcg1xpvor8ev+OnLxOZQ1S0ik/CPkQOdlVxwaEaOZCKicUXXc2kA2gtT2Irk4DkJa89yCzLGORRj/FWZFSa3+rvqFVgt1mZ/n1y7nq46vYcWIH3Rp14/0r3g9K97vK+YHCNDGQk++KCh5jDf65xtnIHo7Sg2irxcrfBvyNvw2IlN/VEWT2/Hdklu1vlLe60r5ee94fW7zSilLl69+qP/sz9hdUeLHb7AxsPbCSRxuAvF5zi91uIJMJZQXQK5B69fmTcTORc1z118eOdBpERxUfMAf4DSkAX9rSpgXZVFh6B6eyLcB/OTyHis0y1VY2JC+3eBpNdFREqVn+QE3qutWpQSdWTl4Z7mHk6Uh+1RBhIGkZFdESqYSSz05oyguGQiaS138YuRD4CamCND2cgyrFaqQJVz2kXGL1ddVTwfHKyFfYmbqTNYfW4DN9jOs2jlv6VXYV4yVgOxIU568ixSFpWZ+X87jilTWcSA61BtHFaRAdNUwkh2kBhZtdbkfSPIKhDhIQFl360Q/g0jmBVcjPqx9SC/gK5O3kzft3KDdsKFXdbkVe55uRC3UrJTcrb0CqpfSi9A6L71G4udSHpDxdG4rBhsAipBpM/ky6A6nn/T/kszgSfII0inEjm3v/jQTV2nI8WuxN38uOEzuYMWYGyXHJxFpjSYlPOfUDy5SElJo8jpyv4pA0jqaUvyWuLvIaKjqDra+j0mgQHTV+RQLo/CXVbOQq8z6C0xL4WqSm7VHkjWOnIiWpao9DSB7nSSQQOA35kNqCLFc3RfLYdSe+qknikZSOZchnT38KP3dMpEvjLORE7UMarZxT7Bj9kFmxX5DVm/OInr3tPkqUCoEybguX2yicPfQA+5B0vD+FbUQqcNPXTufWL24l1hqLy+viuYue446z7gjCkQ2kmk6+QPY5TUKq05xAVqgT0HigdBpER400Sv66bEgwF4wgui6wHtk8lApcDFQ2D6smuxXZRJg/I7URaav+OJrCoWq2GErfKPoVsoeiaD37sUgHyeKaIJtAo82FyMRCfpmwBCSdLpI2Xhfv9Ooi2ioz1VapzlRu+eIWcjw5OD1yIfS3RX/jsi6X0SolGF1eK6o+srL0JhJjjKIiJR5rEw2io8YZxb62IC/0iuYllqcusjFLlW0b/pujcpBAWqnaqrQKAIeRWdqasiJTF0nhugdpBz6Eiu87CbULkXb2RbtEalpZNNifsR+bxUYOOQW3xVnj2JO+J0xBNEh8ESmbeiOXBtER5xhSdmsfMht8I3Iiqg98i1Ta2At0QzYZ6q+wep2JVOPI34RpR9I3lKotXEjd11VAT2TFqmhahgF0oOYE0PlaAR+FexDlmIFsJlyE5MJORT6vVKRrW7etX1k7ALfPTaf6nappBNnAM8AmJA3rr2hsERj9KUWUDKQs2hFkc8hXSA7hc3n/3yfvaxU+/0E+aLYieZJD0dl7VfOYyA793Ugu87lFbh+N5EY7kX0aXyMzVs8gs5+JBF6SUwVPMpHxc09DNjl6kBr6LcI7nChQJ64Oc8fNZexHYzEMA5/Px7uXv0uTpCbV8OweYBCyaTgHWc34EanGoU7FMM1I2hhRun79+pmrVq0K9zCqwQzgFvzrsdqQ5bmaNqsTzXzAHmT3cnP0d6NqFhMYhwTIXmSW+Umke+pvSPOEouWvEoHvkZnaVCTFLLYax6sixyEk9TATeR3ZkHKA3cI5qKiR7cpmf8Z+WtRpQVJsUhWPdhx5v7ZBNryX5UekqVDRDq9xyIpr8yqOIXoZhrHaNM1+p7pftGyNjjheX1ldgKrCXcptvrw/KnJYgHbIDIsG0Kqm+YnCSkA5yIbB+5HA2U3J04YFSfFoAHRCA+ja7HGkooMDeb1kIhdfKhCJsYl0adglCAH0p0jwPAxoD7xezn1Le08blGzQokqjQXQFrTu8jrYvtcX2uI0WU1rwy/5fgnj0EUiGTX5gZiAzQQ2Aj4P4PEopVZZjlOzEZ0HqJHdCLiDzA2UbUj6rV7WNTkWyA/hvvDaRTaaq+mQi9cIdSIqoE2nfvbeM+5+JlJzMz+41kIvn05H0RVUeDaIrwOl2MvTdoexJ34OJycGsgwybMYyTOcW71VVWM2QWaAj+PerTkTrOW4L0PEqp2uUoUnauE9IM6Eg59+2Hf7UNC1KarjESXC/NO9ZpSH70j/h/Xqna61L8m3LYkQ3yqvocoGRoF4tU0SmNHfgZyV9PonASzwn8HdnzoMqiQXQF7EzdicvrKnH7pqObgvgsXYEvkSWWovnqBnKyUqo6rAPuAO5E6oer6OVGGpvMR06k85GKGiU/y0SLvPs0Rk4RpyGVgfJPF/WBD5CL+jlIgK0USDWpO5GLKhvwB+CJsI6o9mlJyRRQF9CxnMc0R1JA8psl5XMg731VFq3OUQGNEhuVCKLdXjeNExsH+ZlsSIewos0LDPRkparHCuACCl9/bwPfITOUKvpsRhoE5e+58CBL7JsoWX8+3wXIbHVNqvWsQs9Amk89VeRrVb2SkO6hE5AQzwW8QmDNwBoi1VXyxVObNxcGQmeiK6BpUlPuG3AfdpudhJgEEm2J3NTnJjo1CEYtRx+wAykpBTANWWZJQN4U5yIdspQKtX/hfwGXTeQ1llCBi6PkzJSPwDYAahCkKsNAXzvhdCmwH5lF3gvcEODj3kTScexI3NEeuCkUA6wxQjoTbRjGn4HJyLvpddM0XzIMoz7SI7YtEjGOM00zrcyDRJjHLniMi9pfxMajG+ncoDND2w8NwlHTkJmfHcjJbQiytNIdyZFuirwp9JpHVYfsAG9T0aEL0B/4AclzTEAaBGnZMaVqrnpA3wo+5jwkle8boA5wOTIbrcoSsjrRhmF0R9YUzkLWE74CbkWC6lTTNJ8xDOMBoJ5pmveXd6yaXyf6aiS3MD9VJAF4GEnqV6q6vYfUK8+fjbYjKyNXh21EqqpcwL+BNUgKxz1oKTqllCpdoHWiQzkT3RX42TRNR96AlgJjgMuAwXn3mY4kW5YbRNd8a/Df5ONE8lKVCodrkQD6BWQR6T40gI52scAD4R6EUkrVKKHMD9gIDDIMo4FhGHYkobcV0MQ0zUMAeX8He1deFOqK//VMPNIVTKlw+ROSXrQdzYlTqjY7hnSsvB+tEKWUv5DNRJumucUwjGeBRUg/yXX4V2Evl2EYNwM3A7RuHciu0mj2X+BXpGWuD8lV1FQOpZSqHkeRADER2Z+ihavEMWRvThpS3eUVYAayqKyUCulONdM03zRNs49pmoOQCHEHcMQwjGYAeX8fLeOx00zT7GeaZr9GjRqFcpgRoClSc3UBsAT5ME8I64iUUoHwAvuQeQIVndYDnYE/Io1oBqAtj/O9TmEADZLmdU/4hqNUhAlpEG0YRuO8v1sjn04zgc+QTyvy/p4XyjFEj3hkB30/SrbcVUpFnm1AG6QZSQNk456KPtcjXWEzkIuhDcD/wjqiyJFByQVkrdSjVL5Q10ybaxjGZqT91e15peyeAS4yDGMHcFHe10opFWUuRZqYOJCNwQ8j7XNVdNlb7GsnsCscA4lAl+Ff4iwBuDJMY1Eq8oQ08cs0zfNKue0EEIziykopFSZepIV20RKhJlJp55ywjEhV1jnAQgpTFhKRlA4lTb4+AP6KzEBfCbwY1hEpFUl094RSSlWYFWmRe6zYbe3CMxxVBe8Aw5E0Dh/SzkBnW2EVcnGRAqxFmm8opYrSIFoppSrlI2AU8jHqQbp7jQjriFRlNABWIhvoEtBN3SAdc69C0pRikXx/DaSVKk77SCtVA3l8HlKdqYSqI2l0yULyXINtMFJw6H2kqs67SHMaFX0MoD4aQOe7A3nPePP+PoTM2CulitIgWqka5oMNH5D8dDLNpjSj7Utt2XZ8W7iHFCYOZJm+HjKDNhlZrg+mZsAlwJloAK1qjsxiX7uQmXqlVFEaRCtVg2w5toWbPruJHE8OLq+LfRn7GDZjWC2dkf4rsAxJtfAgG6SmhnVESkWHkfhX5YhHLkiVUkVpEK1UDbL60GqslsI64yYmBzMPkukqPrNUGywFcop87UDSLpRS5XsTKW+XhDQDewetOqNUSbqxUJ3CAaQ/joH0y2kc3uGocrWq06rErLPNYiMpNilMIwqnNsB2ClM4YoEO4RuOUlHDDswK9yCUing6E63KsQ3ohiyL/zXv38UbE1SEG1id96d4FywVDIPaDOKKrleQaEskOTYZu83Ou2PexWLUxrf6VGSzWHLen9bAg2EdkarJDgLfA4fDPRClVDUxoiFXsl+/fuaqVavCPYxaaDTwOYUNJaxI2aN3K3GsdGAgsDvv6/bAcrRkUvCZpskP+37gQMYB+jTrQ6cGncI9pDBKBb5DZqGHotUXVGi8CdyJvM5cwBvIZ6VSKhoZhrHaNM1+p7qfpnOochzGvyObl8rPstyPlAPLzft6G/AP4JVKj06VzjAMBrYeGO5hRIj6SBqSUqFyCAmgnRSWUrwJ2YjXIFyDUkpVg9q4xqsCNhrJjctnRzabVMZ6CgNo8v69rpLHUkqpSPE7MgNdlI2qpb4ppaKBBtGqHH8HJiHljRKQAvy3VfJYfSlZMumUKyVKKRXhOiIpHEV5gLbVPxSlqpWJlA69BngASZ+rXTSdQ5XDimzOCkZt3aeBFcDGvK97Ak8E4bhKKRVOjYG3geuRGWgP0sWyXjgHpVQ1eBR4HikfagNmAhuoTXudNIhW1SQJ+AnJizaQ2ZvoWghJz0ln98ndtKzTkgZ2zXVUZUkF9iEzkSnhHYqqJuOBYUgKRxugbniHo1TImcAzFKZpuoETwDzg2nANqtppEK2qkQXoEu5BVMqXO75k3OxxWAwLbp+b1y55jT/2/mO4h6UizgykvbgNqU89CxgV1hGp6lIPnX1WtYeJFBsofltuKfetuaJrKlCpMMhyZTFu9jiy3dlkujLJ8eRw6xe3si99X7iHpiLKAeBmpEtiJpCNzFDWxm6RwWOaJo8seQT7k3binojjps9uwuPTOvP5lu1ZRvMpzYl5LIZer/bi97Tfwz0kVStYkEIDRcuGWqlt7eE1iA6xg5kHueLDK+jx3x7cPP9mslxZ4R6SqqB96ftKNCuJtcayI3VHmEakItNOSlZpsKJVGqrm7bVvM+WnKTg9TlxeFzM3zOSfS/4Z7mFFhIOZBxn5/kgOZR3Ca3rZeGwjQ94dgs/0nfrBSlXZDKT4QHvgXGAZ0CqcA6p2ms4RQtmubM5+/eyCD7gdqTvYfGwzy69fjmEY4R6eClDLOi1LzHy5vC7a12sfphGpyNSe0qs0tAzDWGqOz7Z9hsPtKPja4XEwf/t8nhz6ZBhHFRlWHliJ1WIt+Npn+jicdZij2UdpmtQ0jCNTtUM88N9wDyKsdCY6hH7a/xMZuRl4TckbyvXmsvrgag5naVvYaJIcl8y7Y97FbrOTEpdCfEw8U4ZNoW3dtuEemooorYCXkOXNFKSu+nR0c2HVNEtqRoxRON9jYNAksUkYRxQ5Gtob4vX556V6fV7qxNWe6ghKhZPORIdQjCUGE/+26j58xFj0xx5trux2JYPaDGLHiR20rduWFnVahHtIKiLdDFyCtLfvCGiwV1UPn/8wH2/5mCx3Fj7Th81i48URL4Z7WBGhf6v+XNThIkIE7jsAACAASURBVBb9tgiPz4PVYuXRwY9it9lP/WClVJVpNBdC/Vv1p3VKa3am7iTXm4vdZmdEhxE0SmwU7qGpSmic2JjGiY3DPQwV8Vrk/VHB0Dy5OZtv38zcLXPx+Dxc2vlSWqXUrrzLshiGwdxxc/l066fsTd9L32Z9Oa/NeeEellK1hmGa5qnvFWb9+vUzV61aFe5hVEpGbgaPL3ucrce3MqDVAO7tf6/OREeAo9lHmTBnAisOrKBRYiOmXz6dQW0GhXtYSimllAozwzBWm6Z5yrbKGkSrWunMaWey9sjagg2DibZENt22iTZ124R5ZEqpyOYFngPmA82AZ5HUHaVUTRFoEK1TojVaDtKO9hBwHnBReIdTzUzTZPbm2Ww4soEuDbtwVY+rsBgWHG4Hvx7+tWDDJ8iy6PK9yzWIrjY/AguB+ki7ZN0IpaLF3cBbSKtjC/AtsAXQahhK1TYaRNdYLmAg8uHuQCoFPA78NZyDqlaT509m1sZZZLuzSbQlMm/bPD668iPirHFYDatfEA1QLz5yu41tObaFnak76dqoKx3rR/us10zgRuQiLw74D7AWSA7noFQNdyjzEKsPraZJYhP6Ne9XyTKjJvA6hV3ZfHn/ngf8KUgjVUpFCy1xFyYOt4MTjhOELp3mS2AbEkCT9/ffkQ/9mm9f+j7e3/A+2e5sALLd2Xy540u2HN+C1WLlmYuewW6zYzEs2G12ejTuwfCOkdlp6Znvn6HvtL5c88k19Hy1J2+seSPcQ6qiuwEnEpDkICslM8I6IlWzLfl9CZ1e7sTVH1/NBdMv4NpPrg3hZ69SqrbQILqamabJA4sfIOWZFJr/uzl9p/XluON4CJ4pAyh+kvAC7hA8V+TJyM3AZrH53RZjiSE9Jx2Av5zzF+ZPnM+jgx/l5Ytf5rtJ30Xkhs/f037nsaWP4fQ4ycjNwOlxcueCO0lzpoV7aFVQvGunG0gPx0BULTFuzjiy3dlk5GaQ7c5m3tZ5LNi5oBJHMoDbkJU9kI6UCcDlwRqqUiqKaBBdzT7e8jGvrHgFj8+Dy+ti49GNXPfJdSF4pvOLfW0DzkaWz2u+Tg06kRKXUtCu28AgzhpHjyY9Cu4zpN0QHhr0EDeccQOx1uLtmiPD3vS9JcZms9g4mHkwTCMKhkuQTlf5YoFAVwGmIh0AmwFPUPJCUVUfL7K61RRoDbwT1tGUxevzcsJxwv8208vuk7srecQXkNS4wcA4YDVaD1yp2kmD6Gr20/6fClIMANw+NysOrAjBM7UBvkJ2jdcBLkR2k9cOsdZYll2/jDObn0mduDr0btqbZdcvIyk2KdxDq5DTGp6G21dy9SC6uyW+jczc1UW6/H0InBHA4z4A7gMOAIeBp5F8ahUeTyA//yPAPuB2JI0sslgtVjrW74hBYQ60YRj0adankke0IHtLliCvybZVHqOqPtmubO5bdB/D3hvGP775B063M9xDUlEs8tava7h2dduREJOA01P4xm1Zp2WInm0gsCNEx4587eq14+ebfg73MKqkSVITZo2dxYS5EwBJSflswmckxiaGeWRVkYhsLqyoDyjM8Sfv3+8Dfw7GoFSFzaTk72MWMDI8wynH51d9zpDpQ0jLScPj8/DEBU9wTstzwj0sVc28Pi8XTL+ADUc3kOPJYfne5Szfu5ylk5YWrFoqVREaRFezm/rcxPsb3mfD0Q1YDAsGBu9c/k64h6UqbSsyE9cdaBCSZ7i0y6Wk3pfKkewjNE1qWqHUkzRnGuuPrKdRYiO6NeoWkvFVn7pITmrRFA4tjVfUztSd7M/YT7dG3aqhu2bxaioWICXEz1k5nRt0Zs/deziYeZB6CfWibkVKBceGoxvYfGwzOZ4cAHI8Oaw5tIYdJ3bQpWGXMI9ORSMNoqtZXEwcy65fxne7vyPLlUX/Vv21lXQEMU0Th9sR4EzvHUi92Fik6skCYEBIxhUXE0frlNYVeszKAyu56D2pDe7yupjYYyJvXPpGJUt7RYKHgM+QGU8fsrnr6bCOKJI8suQRXvjxBWKtsXh8Hj4e/zHDOgwL4TM+j+S3O5ENdknAvSF8vqqxWqzaLryW85m+Ep9/BkaJcqdKBUo7FiqVZ+HOhbKL35VNs6RmLLhmAd0bdy/j3t8Co4HsIrc1QXJ1I0Obl9qwN31vwdeJtkQ++sNHjOwUecvtgdsFTEc2tV0FRPvsenCsObSG894+D4e7ML0iKTaJk/efxGqxhvCZfwVmIxtFb0A2fSoVmdxeN71e68Vvqb/h8rmIs8bRtVFXVk1eFeL3iYo2gXYs1CQgpYCDmQcZ+9FYMnIz8Jpe9mfuZ+i7Qwvagpe0g5KVIY4CZd2/epmmyf6M/X63eXwetp/YHoSjfwacDrQD/kXoa49nAtciFSCuAsYim9o0gM63M3UnVsM/CHB73aQ6U0P8zGcATwGPUJ0BtMfn4b5F99H2pbb0fLUni35bVG3PraKXzWrj+xu+Z2KPiZzR9Ayu7nk13/3xOw2gVaX9f3v3HR9Vlf5x/HPSMwmhgxQpCirYAAMo+rOAWFAR17a4NlbXhrq667r2uu7aVtTVRVFXUbGjKIptWWzoCqiIEGFREZBmMNRMyiQ5vz/OpCcwA5m5U77v1yuv5N5MeeDmzjxz7nOeo3IOEWD+2vmN+kRvLd/Kqs2rmlkKfN8m9vUgVk4pYwx92vVh6S9LscFkPzUllf0677eTj/wx8GvcJXxwl/TBJdPgRuLvwi2gMhoYC+xs+chJwCe4leF+wi1hvwQts1xr7457N/rAl5ORQ3tfZOr0vXbVe1fx2BeP4a9wI+9jXhzDx+M+3omOG5IIPlv5GY9+8SgpJoXLhlzGwC6Nu/60y26neUgxbvH6xUz4bALFgWLGDRjHiN1GeB1SszQSLUmvqKSIeavn1euYAm60q/kkZBiuR24mboJVB9wIbeyYdvo0OuZ0JDcjl8zUTK488EqG9x6+k4/6PLUJNLj65MnBn4uAAcBDuLZ1v8ONUu6MEuADapdZtriR7//s5OMmlr077c3dI+8mMzWTVhmtaJ3ZmrfOeCthOw5MWTClJoEGKAmU8Nq3r3kYkXjtgx8/4Minj2Ty15N5cv6THPLkIcxdNXcnHrEQN+flSSASC6JJU5asX8Lgxwbz2JePMeWbKYx+fjTTFk/zOqxmxcawmYhHVm9ZzcBHB1JcXkxllZtc4kt3q5Hdc+Q925nFfwNwEe7Ftjf1FxDxXr+O/VhxxQqWbVxG++z2dMzp2AKPmoP77F23hCM7+P0VXOlF9YioHzfx7/ptPJ4FvsPVlvej8WJA6TQ9ku1rYl9yu3TIpZyx7xms27qOXm16kZ2evf07hcSP60LTFvd37r2s9Kx6n+XSUtJqzltJTrd9eFu9D1b+gJ87Z9/J1NOm7sCj/QjkA6W416ircYvqhDe5W8L3jzn/oLi8uOYKqr/Cz42zbmTMXrG5KmhiDlOIhOimWTdR5C+iOFBMpa3EYOjbri+zfzubS4ZcEsIjdMAlf+Ek0NGbzJuZlsleHfZqoQQa3IIarah96ajbIaMMN+Gvrm3ViFfi6pv3Bw4F9sAt2lFXGvBHapPmTKAbcMwOxJ742mW3o1/Hfi2YQC/GLSZyBK4G/QJiYZXIO4bfUZM0p5pU8jLzGDdwnMdRhS8eJvbHi+q2ddvbF5qrgY24D/d+YANwzQ7H1tKstQn7t1NSUVKTQFcrryz3KJrtUxItSW3V5lVU2NpEz2JJNakM2GVABJ5tIq4NWDpumetNEXiOSOsFzMet2HYhrq3ficHfnYD7t1XLxk0EbM6/gHdxQ4pbcCsRntPE7f4GPI7r/nA9MJdYG/VPXKfhLmVvxo3KPQd4f2n17P3PZtrp07jggAu4athVLLh4Abvkxk+N/Pvfv0/HezqSdnsa+07cl2UblnkdUty7ePDF9a5G+NJ8XHTARTv4aKuoPyBQGdznLWstV713FVl3ZJH5l0zOe/28bUx+j0/jBozDl1bnOKb7uOCACzyMaNtUziFJbdQeo/hoxUc1rcGy07Ij1ALuP7geutWXGz8AzgXisY6zF7UTChvu/wi4HFficgLbromeT/0V7yqBgiZuZ3ATFMeGH6rspO+oP/JcgjtGJ3kTTh0jdx/JyN1Heh1G2JZvXM6YF8fUvOYUFBYw8pmRLL1saRz3cPfeWfudRUVVBRM+m0CKSeG6/7uOE/Y8YQcf7Tjqvz75gvu89fDch5k4b2LNyOwLC1+gW143bjviNo8jq2stcDHwLTAIN0emXcj3PqTHIUw9fSrX/+d6SitKOX/Q+Vwx9IrIhNoClERLUhs/eDw/bPiBh+c8jMVy+t6nc/PhN0fgmWZSP2EsxyXSiWYgroNHKPbDvTlV/7+k4kpjpDnr/et58PMH+bn4Z0bvOToKPb93BxZRm0hno2O0c+asmlOvHWGVrWLl5pUUlRQlbDeVUGwp28IDnz/Ays0rGdF7BKf2PzWkDxXWWp7++mlmr5zNHu33YM7v5pCVtrNXqv4MLMddLQN3hcz7hYTe+t9b9XrB+yv8zFg6I4aS6FLgIFwXpQpgGe7140vc63tojulzDMf0iY+SPSXRktRSTAoTjp7AfUfdh8VGsJvBLrgEpG5ni9A/nSem84EZwPu4l6LW1Hb6kIY2lGxg/0f2p7C4kEBVgGcWPMM9I+/hksGh1O7vqJdw9erlwa/TiYVR6HjWKacTVbZxb/VWmQ2XUU8eJYESBj82mB83/khZZRnPLniWhT8vDCk5vOiti3h2wbP4A36y0rJ4ueBlZv92dqOWpeFJBR7FleBBrFS+dsvrRppJqylBTDEpdMnt4nFUdX0F/ELtXJhy3NWsH4C+XgUVUbHxlyHiMWNMhNuBnYfrbJCDS6Z9wONU2SqWbVjGik0rEnaiSPNScfW1X+FG5Zei2e/Ne37h82wo2UCgKgC47gM3zroxws/aDzciNxNYCDzBzvf9Tm6H9jyUI3c7ktyMXLLSsvCl+5hw1AQyUjO8Ds0zM5bOYNWWVZRVulaW/oCfv378V9ZtXbfN+20s3ciTXz1ZMzpbWlFKQWEBn678tIUiSyGW0qRbD7+Vdtnt8KX78KX5yMvM4+9H/93rsOpIp/HE4yogcf+2NRItEhU+YB7wKm6S1gg2l+3CkU8fyMKfF2KxHN7zcF4f+3qSvZkaYE+vg4gL/oC/0SSiHe8+EA4frt2XtARjDK+e/irTl0znp80/MbjbYIZ0G+J1WJ6qW6JQrdJW0uP+Htxw6A3ceGjTHxZLAiWkmlQCBGr2pZiUJh8vEXTL60bB+AJeX/I6lVWVHL/H8XRpFUsj0QOBfXD15KW4147DSeTBERMPo1/5+fl23rx5Xoch0qLOe+M8piyYUjP6Aq7f7bBdh/HyqS/TKaeTh9FJrPm28FvyH8uvNwn21L1PZfKYRCiBqcBNSH0aN7ZzLa4uVZLB6i2r2euhvdhSvqXR73zpPt49810O6XFIo99Zazlg0gEs/HkhgaoABkO77HZ8d/l3tMlqE43QpZES4E7gG2AorpNT+jbvEYuMMV9Ya7c7ehA71ylEksy8VfPqJdDgVkn8dOWnHPec9zPB66vEtZobAhyPm3kt0dSvYz/e+c077Nd5P7rndefcAecy6fhJO/GIi3EdVIYAd9C4x3c03YKrhy/GtX68DddOT5JB11Zd+WjcR+R3aZyzWGtZsG5Bk/czxvD+We9z/B7H061VN4btOoxPz/tUCbSnsoFbcVdd/0w8JtDhUDmHiEf6dexHwfqCRpfoK6oq+GrNV5RWlLbALPOW8gdcr2Y/rgTjY1yN7K5eBpV0/q/n//H1RV+3wCP9hBsl2oKrYVyEa031jxZ47B3xGvW71/hxb8Lb6jMuiWTALgOYe8FcutzbhbXFa2v2p5gU+rTr0+z92vva8+rpr0YjRJFGNBIt4pEHj32QXfN2JTut8epyaSlpMVYbXZ1Ag0u6yoiFRTdkR72BmzlfXc7nx00a9ErD1m6pQGcvAhGPvXLaK7TKaEXrzNZkp2Vz5n5nMnK3+OsHLslBI9HisSrcCFhrXOeKRLABV+PZgW11MuiU04mC8QX896f/cvnbl/PDhh8oqywjIzWDe4+6N8LdQsLVMBbTxD6JHyk0/tus3i7CnZcdohjP/bhWegFcbLnAdVF8fokVB/c4mB9+/wML1i2gc05n9u60t9chiTRLEwvFQ8uB4cBq3Jv2zcT3G2cFcCbuMnQKcCDwFqF8OAhUBnh+4fOs2bKGg3sc3OQkGm/dAEzAjVim4D70FOD6X0v8+RnXvm4j7tzzAeOBJcA7wdscgbvaEK2Sou+B13HtsE4DNLFWRLwR6sRCJdHioQNwrXCqFx7wAW/i3rzj0d24CRXVZQ9ZwNm4pv3xzgKP4GpXd8FN/OrlZUCy05YDN+KuBI0B1gB/p3ZBoGzgEuBeT6ITkeYtWLeAM189kxWbVjBglwE8d/JzdG3V1euwEkaoSXREyzmMMVfiliWzuH4n43DvxIfhpmADnGutnR/JOCRWfUNtAg3uUu4XxG8S/TH1J0eVAi3V9N9rBrg4+CWJoSeupVy1I6i/omYJ8ElUIxKR7SsqKeKwpw5jY+lGAGavmM3wycMpGF8QY2WAiS9iSbQxphuu8Wd/a22JMeYl4NfBX//JWvtKpJ472korSnl2wbP8XPwzh/c6nGG7DvM6pDjRBVhRZzsD98Yer/bCLWFd3bYuFdjdu3CSxpfAe7gSk7Nw9bQSvr7AbKhZuCKNRF2q1ysrNq3glQL31ndq/1PZtbW620j45qyaU2/p+ApbwYpNK1i1eZX+pqIs0hML04BsY0wAd61+dYSfL+rKKso48PEDWVq0lLKKMjLTMnl41MOcO+Bcr0OLA88DR+NqbCuBEcDJnka0c27ElaOswo3c5uBdy7Bk8QYwFtdpIh1XjvAV0MrLoKKqrKKMOavmYIxhcNfBZKZl7uAj/Q23vHch7u+3DSrlaDmL1y9m6ONDa1aZvPXDW5n7u7ns0X4PjyOTeNM6szWVVfX7uldWVdIqM3le92LFNsf9jTGDtvW1rftaa1fhXoFX4IrtNllr3wv++g5jzAJjzARjzI6+4seEqd9O5bui7/AH/FTaSvwBP5e9fZnXYcWJYcBS4FncSOI04rvjQx6uxvtV4EXcJC2NCkTWeFwJTQWu/GAV8KSnEUVTUUkR+07cl+OeO45RU0ax/yP7s6Fkww4+Wntc7+9XgJdwE0fVZq6lXDvzWraUbaG8spzyynK2lm/l+pnXex2WxKGh3YdyUPeD8KX7AMhJz2H8kPFaZMYD2xuJ/nvwexaQD3yNG6LYD/gcaLaFgDGmLXAi0Bs3BfxlY8yZuPVc1+Ku3U/CLWlzWxP3vwC4AKBHj9hdd31DyQYqbf1PhCWBEqy1GNN8ezOptgtu1bREkQkc6XUQSWRzg+1yXIvB5HD1+1ezfONyyqvKAVi2cRnXzLyGR4/f0cms2cBRLRaf1CosLsRSO5G/ylax3r/ew4gkXqWYFN4+822emv8U3xd9z+Bugzlpr5O8DispbTOJttYeAWCMeQG4wFr7TXB7H+Cq7Tz2kcAya21h8D6vAsOstc8Gf19mjHmyucex1k7CJdnk5+fHbAuRI3ofganTbzUjJYODexysBFokKo7BlXSUBrczSaYksKCwoCaBBiivLKegsMDDiKQ5p/Q/hflr51McKAbc6OHJ/eO5fE28lJaSxvmDzvc6jKQX6rXzvaoTaABr7UJgwHbuswI40BjjMy6jHAF8a4zpAhDcNwZ3/TBu9e/Yn6mnTaVrq6740n0c0fsIpp421euwksbmss1c/f7VjHlhDPd9dl+jOjFJdP8CjsdNuegU3D7I04ii6cDuB9ZbGj47LZuDuifPvz+e/H7o77l86OXkZebROrM1Vx54JeMHj/c6LBHZCSH1iTbGPA8U44pXLW5FiVxr7djt3O9W4HRcweJXuHZ3bwMdcWUh84GLrLVbt/U46hMdaUtxXSVygFMIf+VAi6tpXgLsjfu8FHllFWUMfHRgzUp/vnQfY/Yaw5RfTYnK84t4zR/wM2rKKD5f9TkAB3U/iBm/mVEvsRYRkfC06GIrxpgsXIPYQ4O7PgImWmtLm79Xy1ESHUkfA8fiumOk4trOfYGbJBeq8cBk3GelNNyfyj0tG2YT3v/+fU5+6WS2lG+p2Zeekk7hnwppndU64s8vEgustfy0+ScAuud1D6GUrAzXoz0L96FXpWciInW16GIr1tpSY8wjwAxr7ZKdjk5iyEW4iwzVVuLWw7k6xPt/h+uGUL1IQxnwEHAF0BWXnEemk2KgKtAoYTDGUFFVEZHnE9lxlkidC8aYMHrDrgIOBoqC8RyCa8uY3uJxiYgkupBqoo0xo3GlF+8EtwcYY96IZGASLQ1nh5fhmqeEc/+Gb8AZwGO4RS8ycW/aLT8L/ZAeh5Cdlk2qSQUgMzWTg7ofRLvsdi3+XCI7biKuRCoTdzGvyMNYzgN+ArbgWgN+DDzsYTwiIvEr1ImFNwNDcK3qCC7T3StCMUlUjcS9uVfzEV53g/64MpCG7sa9SVcBc4HTdjTAZuVl5jHnd3M4tu+x9O/Yn7P3P5s3z3hTnVEkhnyIa0BUgjsXPgd+42E83+JGoKuV4MZHRERCVQAcjlvR9CLce31yCvXaYoW1dpOSk0T0KG5UagYumf4brm1YqPKAf+NWGlyB+2w1GlfSUS0AfNYCsTbWo3UPpo+dHpHHFtl5H1Hbfg9cH+uPPYoFYF/cwrHVJU8+4ADvwhGROLMWt1DaZlyZ2k+4MrHkfB8ONYleaIw5A0g1xvQFLgc+jVxYEj05wOu4k2FHPyQNApbVeYyncAl53dpklVjEJ4v7kLQSt97Sft6GE3c64ybw1R2p6eBRLACP4+qg1+FGpIfjJgKLiITi37jXjuqmFKW4pmvluFLO5BJqOcdluGncZcBzwCbczDFJGC1xlaH6Mc7A/bnk4ka6fLj+vRJfqrtZ/gr3uflAkmlJ7ZZxNrAn9c+FJzyMZxdcScenwALcQjWRmfgrIokos4l9hqbLOhNfSC3uam5sTI61tnj7t2xZanEXjwK4N+gi3GSqPb0NR3ZAdfvDuqd8Jq78R90cQleOOxc2Aofh6ghFROJRMa4sbBXutc0HXEI02tpGU6gt7kLtzjHMGFOAG8LAGLO/MeafOxmjJLR0XJ3071ACHa/W0nh0weIuRMU7C9yKGyHOBi6kfvlRte9xJSzpQE/cxMBwZeAWMTofJdAiUt/DQGtc2ddp1LaLjVU5wJfAH4CxuPlPd3sakZdCvY43ATgaN5yCtfZrY8yh276LiMS3A6ifWBpcOUB7b8JpUU/hRk6qR9mfxS2k+pc6t6nAzUBfjeussQLXzeYHvK1rFpHE8DZuTYbqORPTgUvxtuQrFG1wTQgk1JporLUrG+yqbPKGIpIgdgNeBFrhXip2w00qSYQuPa9Tv0zFT3CMoI6VuHKkqjr7UnCjMCIiO+tt6k86LsV1ypJ4EepI9EpjzDDAGmMycLOMvo1cWCISG47HlW+U4S43JopdcKUq1WMBBujU4DZtaFziUUFijMSLiPc648q9yuvs0+tLPAl1JPoiYDzQDVdNPiC4LSIJzxCdBLoM+JHo1ATeiGu7mI2bLJkL3NfgNm2Ba3A1gOnB78fhWjpKJG0p28LyjcupqGqqTl0kUVwCdMFNzssMftd0s3gS0ki0tXY93i6zJSIJ7T/AGNzIsAGeB06I4PN1w6269TJudHk0buJgQ7fiust8BewejDERylli14TPJnDNzGtIS0mjdWZrZp49k34d+3kdlkgEtMW1mnwRV152LJqIH19C7c6xmzFmujGm0BjzszHmdWPMbpEOTryyCvg/XC1sP1QDKpG1BTgx+N2PezMZjZu8F8lRmQ64hUYuo+kEutoI3Ez0/+IutXYE7o1gXMnr858+54ZZN1BeWY4/4Gft1rUc//zxXoclEkF5uC5WV6AEOv6EWs7xHPAS7rpDV9zwzfORCkq8VIVbxewzYCuwGDgCKPQyKEloy2h6dPcX4E/AtOiG06S7cK2cNgDrgZtxHT2kJc1fO7/etsWybMMyApUBjyISEWleqEm0sdY+Y62tCH49S+2aj5JQ1uJaeTVsvjLXg1gkOXTDLc7TFD/wShRj+QK4HXgQtzhKtZepP4vejxtXkJbUu21vTIMPVO2z25OeqsV9RCT2hJpEzzLGXGOM6WWM6WmMuRp4yxjTzhjTLpIBSrTl0jiBrsI1gxeJhPa4pDWbxou7pBK9nsxv4sqYbgH+jFtkpTqRbtvgtilRjCt5jNxtJKf2PxVfuo/Wma3JSc/hpVP1YUVEYlNIy34bY5bV2ay+Q/VwgbXWRrQ+Wst+R9t1uKTGj5stfDCun2XIbcVFdsD3wGvATbiWT6m4uvyvcaPVkdYb1x2kWiZu8ZWrcPMCDsX1cU2hdtWu3lGIK/l8ueZL1m1dx8AuA9kldxevwxGRJBPqst+h9on+M/COtXazMeZGXI+n2621mnGWkP4KHATMwyUJZ6EEWiJvd1zCOgqXTGcCZ+J6OkfD5gbbZbgaaHAveV/iSkvScM2KopHYJ6dBXdRGUERiX6hJ9A3W2peMMYfg1r39OzARGBqxyMRjJxDZFmMizekf/Iq2E3CtpkqD2z5cQl9tD9xVGhERgOXAObh2mXsBTwO9vAxIoizU4cXqItnjgEesta/jltkRkaRVAtyASzSvJzqLpETSI8CpuJZTXYAncKVMIiINleHmUHyC6171KXAItR/CJRmEOhK9yhjzKHAkcJcxJhNd3xdJYlXAUbhuFiXArODXJ8TvS0MWbiRJJNn8DEzFjZedCOzqbThx4VvcxOPqMcZKXEnYIuCABrddC7yKm1I2BpWCJY5Qk+jTgGOAe621G40xXXANXEUkKS3GreJXPfpcilt5axGwr1dBiUjYp9G95wAAHBpJREFUVuBq/v24JO963MJCWiVy23Jwq53WVYHrcFXXMlxSXUrt/+8cXHmYxLuQhoystX5r7avW2qXB7TXW2vciG5pIvLMk7qW96uW56zI0bo8oIrHtFtyIagnu9WoL8EcvA4oTfXAVrr7gtg831tgwOb4B2ET9/98/RylGibR4ve4qEuNm4fof5+AujS7wNpwW1w83gaZ6akQG0APY26uARGSHrKX+h1+LK++QbTO4icj/AC7HtYV9mcaDC2tx5W/VqoL7JBEoiRZpceuA0bj2aFXAT8AIXO/jRJEGfAT8GrcoyenAx0BTK8s9hZu5vicwKUrxiUhoRlM7mkrw5xM9iiXepAC/BR4AzqPxYlHg/i/1/5uoQq2JFpGQfUPjF9MSXDukvtEPJ2LaApO3c5uXgfHULpl9JW4C39kRjEtEQnch7oP+BNwo9DjUynFH/Ac3MTkHuILa1/rLgFXAQ7hBlX1wC0hNxP3faywznoW0YqHXtGKhxJeFwBDqt3zLwI1Qt/EkIu8cBbzfYN8huFFrEZFE8BpuYSg/rpwjF7c4U586tykH8oH/4drj+XBX8P4V1UglNKGuWKiPQCItbh/caE5O8MsH/I3kS6DB/fsb8jWxT0QkXt1A7dU2C2wFHm5wm4+AH3EJNMHbP0vjlVIlnqicQyQiHsYt3PE9rmZ4sLfheOYG3Eh0cXDbh+sGICISjyyNJw+WNXGbhotPlTVxvxQSa65M8tFItEjEHI6bbJKsCTS4/qifApcAF+PKOA7yNCIRkfAVAUfgJk+3AZ6r87vfUf8KWzZwVoP7HwzUXacuE/f62D4SwUqUaCRaRCJsPxpf2hQRiSenAbNx7QA3AefjJg8OBq7GJcdPBG+biZs0OBq4DZdqtcEtYnMhbgGWg3Cviw1HpyWeKIkWkSRXDjyCW4VxMHAOukgnIvV9DATqbFfi6pwH4xLhP+ES7X1xC6qAS5YLgceC27vReKK1xDO9U4hIEqsCjgauwbWcuhRXgiMiUlfrBtvpQIcG+6ZTP9GunjwoiUpJtIgksbnBr+pJQH5creM6zyISkVj0OK7WOQvXdWhP3GJTdaXTuDyjqQVYJFEoiRaRJOan8ZtcGrXtqkREwNU3fw7cjVt59TNc7XNdJwOtqK2U9eHKPCRRqSZaRJJYPrUz5qtwI0k9gR5eBiUiMWnf4FdzOgBfAbcDa3HLe58ThbjEK0qiRSSJtcK14DsX19N7IPAkugQrIjumK25+hSQDJdEikuT6AJ94HYSIiMQZ1USLiIiIiIRJSbSIiIiISJiURIuIiIiIhElJtIiIiIhImJREi4iIiIiESUm0iIiIiEiYlESLiIiIiIRJSbSIiIiISJiURIuIiIiIhElJtIiIiIhImJREi4iIiIiESUm0iIiIiEiYlESLiIiIiIQpokm0MeZKY8wiY8xCY8zzxpgsY0xvY8znxpilxpgXjTEZkYxBRERERKSlRSyJNsZ0Ay4H8q21+wCpwK+Bu4AJ1tq+wAbgvEjFICIiIiISCZEu50gDso0xaYAPWAMMB14J/n4yMCbCMYiIiIiItKiIJdHW2lXAvcAKXPK8CfgC2GitrQje7CegW6RiEBERERGJhEiWc7QFTgR6A12BHODYJm5qm7n/BcaYecaYeYWFhZEKU0REREQkbJEs5zgSWGatLbTWBoBXgWFAm2B5B0B3YHVTd7bWTrLW5ltr8zt27BjBMEVEREREwhPJJHoFcKAxxmeMMcAIoACYBZwSvM05wOsRjEFEREREpMVFsib6c9wEwi+Bb4LPNQn4M/AHY8x3QHvgiUjFICIiIiISCWnbv8mOs9beDNzcYPcPwJBIPq+IiIiISCRpxUIRERERkTApiRYRERERCZOSaBERERGRMCmJFhEREREJk5JoEREREZEwKYkWEREREQmTkmgRERERkTApiRYRERERCZOSaBERERGRMCmJFhEREREJk5JoEREREZEwKYkWEREREQmTkmgRERERkTApiRYRERERCZOSaBERERGRMCmJFhEREREJk5JoEREREZEwKYkWEREREQmTkmgRERERkTApiRYRERERCZOSaBERERGRMCmJFhEREREJk5JoEREREZEwKYkWEREREQmTkmgRERERkTApiRYRERERCZOSaBERERGRMCmJFhEREREJk5JoEREREZEwKYkWEREREQmTkmgRERERkTApiRYRERERCZOSaBERERGRMCmJFhEREREJk5JoEREREZEwKYkWEREREQmTkmgRERERkTApiRYRERERCZOSaBERERGRMCmJlqQyd9VcBk8aTM/7e3Lh9AspCZR4HZKIiIjEoTSvAxCJlh83/sjwp4eztXwrAE8veJpfSn7hldNe8TgyERERiTcaiZak8fbSt6msqqzZLq0o5fUlr2Ot9TAqERERiUdKoiVpZKdnk2Lq/8mnp6R7FI2IiIjEMyXRkjR+1e9XtPe1JyM1AwBfuo8bD70RY4zHkYmIiEi8UU20JI28zDzmXzif+z67j9VbVjOq7yhO7n+y12GJiIhIHFISLUmlbXZbbh9+u9dhiEjceBqYgLtwez3wK2/DEZGYoSRaRESkSVOAiwF/cPssIAM43rOIRCR2qCZaRESkSf+kNoEm+PNEj2IRkVijJFpERKRJGU3sy4r4sxaXF7Nk/ZKanvYiEpuURIuIiDTpRiC7zrYPuDqiz/jmkjfpdG8n8h/Lp/O9nXlj8RsRfT4R2XFKokVERJo0HHgPOANXD/0hMDRiz1ZUUsTpU0/HH/CztXwr/oCfsa+O5Rf/LxF7ThHZcRGbWGiM2RN4sc6u3YCbgDbA74DC4P7rrLUzIhWHiIjIjjsk+BV5P2z4gbSU+m/LaSlpfFf0He197aMSg4iELmJJtLV2CTAAwBiTCqwCXgPGAROstfdG6rlFRCQeWNxYy3xgD+AcINXTiLy0a96ulFeW19tXXllOj9Y9PIpIRLYlWuUcI4DvrbXLo/R8IiIS8y4CzgfuAi4DxuAS6+TUObcz/zj2H2SnZdM6szXZadncf/T9dGnVxevQRKQJ0eoT/Wvg+TrblxpjzgbmAX+01m6IUhwiIhIT1gKTgbLgth+YhRuVHuhVUJ47f9D5jNxtJEuLltKnXR96tenldUgi0oyIj0QbYzKA0cDLwV0Tgd1xpR5rgL83c78LjDHzjDHzCgsLm7qJiIjErS00HsdJAzZ7EEts6dmmJ0fudqQSaJEYF41yjmOBL6216wCsteustZXW2irgMWBIU3ey1k6y1uZba/M7duwYhTBFRCR6egOdqK2BNrgkOnlHoUXCVVpRyrnTzqX93e3pdX8v3liilojRFI0keix1SjmMMXWLu04CFkYhBhERiSlpuJZxw3BNmwYCnwB5XgbV4gKVAW7/8HZGTB7BhW9eyHr/eq9DkgRywfQLeHHRixSVFLF803LGvjKWeavneR1W0ohoTbQxxgeMBC6ss/tuY8wA3OyRHxv8TmSnbSzdyJQFUygOFHNc3+PYu9PeXoe0QwqLC3l+4fOUV5Zz4p4n0rd9X69DEmkhm4Fnga3Aw8C+3oYTQWdMPYO3lr5FSUUJH6/4mPe/f5+FlyzEl+7zOjRJAK8veZ3SitKa7dKKUmYsnUF+13wPo0oeEU2irbV+oH2DfWdF8jkluf3i/4X9H9mfopIiAlUBbv3wVqaPnc7w3sO9Di0sqzavYsCjA9havpXKqkpu+eAWZp0zi8HdBnsdmshO2gjsj1sqIADciut+epSXQUXE5rLNTFsyjYqqCgACVQHW+9fzwY8fMKrvKI+jky1lW/hizRf40n3kd80nxcTf+nO5GblsLqudR5CRmkFeZmJdzYll8fcXI7IN/5z7Twr9hZRUlFBRVYE/4OfSGZd6HVbY7vzkTjaWbKS0opRAVYDiQDFXvnul12GJtIBJwDqgBKjAdeUY72lEkWKtxWCa3C/e+r7oe/r8ow8nvnAiI54ewfDJwxv16I4H9x11H9lp2RgMmamZdMjpwLkDzvU6rKQRrRZ3IlFR6C9s9EK4oTT+Oij+7P+ZCltRb98vJVr6VxLBemrb2lXb6EUgEdc6qzUjdx/JrGWzKKkoIS0ljbzMPA7rdZjXoSW9ca+PY71/PVW2CoA5q+Ywce5Efn/g7z2OLDyn73M63fO6M2PpDNpmt+W8gefRJquN12ElDY1ES0I5fo/j69UaZqVlMXqP0R5GtGN+tdev6v07fOk+TtrrJA8jEmkpxwJ164GzgOM8iiXypp42lfGDxzO462BO6XcKc383l9yMXK/DSnrfFX1Xk0ADlFSUULC+wMOIdtzBPQ7mjhF3cNWwq2ib3dbrcJKKRqIloRy1+1E8cMwDXPPvayitKOWkvU7igWMfCPtxXlr0Ei8vepn2vvZce8i19GzTMwLRNu/0fU5n5eaV3PHxHVRUVXDmvmdy2xG3RTUGiX+L1y/mntn3sKV8C+MGjOPYvsd6HRJwBG4y4VW4ko7RuOUDElNWWhb3HHWP12FIAwN3GUjhD4U19eq+dB9Duw31OCqJNyYearPy8/PtvHlq2SLR8eDnD3LtzGvxB/ykmlTyMvNYeMlCurbq6nVoIiFb+stSBk0aRHF5MRaLL93H4yc8zth9x3odmojn1m1dxxGTj2D5puVUVlVy2t6n8dSYp+JycqG0PGPMF9ba7bY40V+LSAN/+egv+AN+ACptJVvLtzJlwRSPoxIJzyPzHqlJoAH8AT+3fHiLt0GJxIjOuZ355uJv+Obib/jxih95+qSnlUBL2FTOIdJA9eW9alW2Ki5nbUtyK60orUmgqwUqAx5FIxJ7UlNS2a3tbl6HIXFMH7tEGvjtwN82mpx4cv+TPYxIJHznDDgHX1r9yakX5V/kYUQiIolFI9EiDdx15F20ymzFy4tepl12O+4ZeQ97ddjL67BEwjKk2xCmnzGd62deT3GgmHEDx3HF0Cu8DktEJGFoYqGISFKzwNPALKAPcAWgFmwiEl2vfvsqb/7vTbq26sofDvoD7bLbeRZLqBMLNRItIpLUrgQeB4qBTOAF4IvgzyIikXf37Lu59cNb8Qf8pKekM/nrySy6ZFHML2GummgRkaRVCjyES6DBrSS4Avi3ZxGJSPKpTqABAlUBikqKeKXgFY+j2j4l0SIiSascME3sL4l2ICKSpKy1jToHVdkqSgKx/zqkJFpEJGnlAcOoLd0wuCq/wzyLSLbPWsu1/76W3L/mkvPXHK5898p6S1iLxBNjDCf1O4nstOyafWkpaTGywuq2KYkWEUlq04GTgR64hHo20NHTiFrKDxt+YPTzoxn06CCufv/qhOn3/tCch3hwzoMUB4rxB/xM+mIS9356r9dhSQtbsn4Jx005jkGPDuLG/9zYaA2DRDJ5zGTO2f8cerbuSX6XfGaePTMuenhrYqGISFLLAxJvRc71/vUMeWwIG0o3UGWrWLx+Mcs3LefFU170OrSdNm3xtJr6UXCrUU5bPI2rD77aw6iiq6ikiEfnPUpRSRHH7XEch/c63OuQWtSaLWsY+vhQNpdtxmJZ8ssSVm9ZzRMnPuF1aBGRlZbFxOMneh1G2DQSLSIiceOL1V/w8qKX+bbw223e7r3v36OsoqymzKGkooSpBVMTYtXGzrmd6y1RbTB0yunkYUTRtaFkA/tN3I9bPriFez+7l+OeO45nFjzjdVgtavr/phOoCtSsOuoP+HlmwTPEQ1viZKIkWkRE4sJ1M6/j0KcO5fzp53PApAOYNG9Ss7dNNalNzpk0pqmJlPHlL8P/Ql5mHllpWWSlZtEqsxV3HXmX12FFzTMLnuGXkl8or3LlOf6Anz+99yePo2pZqSa10b66H5wkNuiIiIhIzFu8fjH3//d+/AE/m8s2U1JRwuXvXM7mss1N3v7YvseSl5lHeko64JY9P3/Q+aSlxH8V425td6PgkgLuGXkPd4+8m0WXLGLPDnt6HVbUbC3f2uiKQt3ylkQwZq8x5Kbnkmbc32tOeg6XDb0sIT4EJpL4fzUREUlg5ZXlXPb2Zby06CWy0rL424i/ce6Ac70OK+pWblpJRmoGJRW1ba/SU9NZt3Vdkwsy5GXm8dWFX3HzrJtZvmk5R+1+FJcPvTyaIUdUl1ZduHTIpV6H4YlRfUdxx0d34K9wiXNWWhYn9TvJ46haVntfe7688Etu+fAWVm9ezXF7HMfF+Rd7HZY0oGW/RURi2GVvX8YTXz5Rkzz60n1MO30aI3cf6XFk0bVmyxr6/qMvxYHimn1ts9qy5o9ryEzT6orJ5p3v3uHyty9nU9kmTtjjBB4a9RBZaVlehyUJQst+S0J67/v3+O9P/6V7XnfO2u8s0lPTvQ5JJKJe+/a1eqOv1Z0Yki2J7tKqCy+d+hKnvXwaFVUV5GbkMuM3M5RAJ6lj+hzD/y77n9dhSJJTEi1x485P7uT2j26nJFCCL93HU/OfYtY5s0hNaTwBQyRRtM5qzaotq2q201LSaO9r72FE3hnVdxQbr9lIUUkRHXwdNNFKRDylV6AostaysXQjZRVlXocSd8ory7lp1k34A34sluJAMV+t/YqZy2Z6HZpIRD1wzAP40n2kmBQyUzNpn90+aWthwX2I6JTTSQm0iHhOI9FRsm7rOo5+9mgKCgsAuOmwm7jh0Bs8jip+NDXz2mDYWLrRg2hEoufI3Y5k9m9nM33JdHIycjh7/7Pp4OvgdVgiIklPSXSUjJ06loLCAgJVri3PnZ/cSX7XfI7pc4zHkcWHNllt6N+xP4sKF9UsfWqxDNt1mMeRiUTegF0GMGCXAV6HISIideh6WJTMXT23JoEGN7L62crPPIwo/rx75rsc0uMQcjNy6dO2D++e+S7d87p7HZaIiIgkIY1ER0mX3C4sLVpas52dnk2P1j08jCj+dM7tzKxzZnkdhohs03+Bz4AuwCnobUZEEpVGoqPkmZOeITcjl1YZrcjNyGVQl0Gcvf/ZXoclItKCHgVGANcA5wNHA5WeRiQiEikaIoiSod2HsuTSJcxeMZvWWa0Z0XuEWrOJSAKpBC4HyoPb5cAc4D3gWK+CEhGJGCXRUdS1VVdO3ftUr8MQEYmAUpoedV4f7UBERKJC5RwiItICcoD+QN0rbFVArHbQ+Qk4BugNnAQUehuOiMQdJdEiItJC3gHycRc5OwOvAbt7GlHTSoCDgH8DPwJvAYeh+m0RCYfKOUREpIV0xXXniHVfAZupTZoDwArge2APr4ISkTijkWgREUkyWTQeda4M7hcRCY2SaBERSTIDgEFAdnDbh6uP3tWziEQk/qicQ0REkkwK8D7wALAAGApcAhgvgxKROKMkWkREklAmcLXXQYhIHFM5h4iIiIhImJREi4iIiIiESUm0iIiIiEiYlESLiIiIiIRJSbSIiIiISJiURIuIiIiIhElJtIiIiIhImJREi4iIiIiESUm0iIiIiEiYlESLiIiIiIRJSbSIiIiISJiMtdbrGLbLGFMILI/iU3YA1kfx+SR6dGwTl45t4tKxTVw6tokp3o9rT2ttx+3dKC6S6Ggzxsyz1uZ7HYe0PB3bxKVjm7h0bBOXjm1iSpbjqnIOEREREZEwKYkWEREREQmTkuimTfI6AIkYHdvEpWObuHRsE5eObWJKiuOqmmgRERERkTBpJFpEREREJExKohswxhxjjFlijPnOGHON1/HIjjPG/GiM+cYYM98YMy+4r50x5n1jzNLg97ZexynbZ4z5lzHmZ2PMwjr7mjyWxnkweA4vMMYM8i5y2Z5mju0txphVwXN3vjFmVJ3fXRs8tkuMMUd7E7WEwhizqzFmljHmW2PMImPM74P7de7GuW0c26Q6d5VE12GMSQUeBo4F+gNjjTH9vY1KdtIR1toBdVrtXAPMtNb2BWYGtyX2PQUc02Bfc8fyWKBv8OsCYGKUYpQd8xSNjy3AhOC5O8BaOwMg+Hr8a2Dv4H3+GXzdlthUAfzRWtsPOBAYHzyGOnfjX3PHFpLo3FUSXd8Q4Dtr7Q/W2nLgBeBEj2OSlnUiMDn482RgjIexSIistR8BRQ12N3csTwSets5/gTbGmC7RiVTC1cyxbc6JwAvW2jJr7TLgO9zrtsQga+0aa+2XwZ+3AN8C3dC5G/e2cWybk5DnrpLo+roBK+ts/8S2/ygktlngPWPMF8aYC4L7Oltr14B7EQA6eRad7KzmjqXO48RwafCS/r/qlF3p2MYpY0wvYCDwOTp3E0qDYwtJdO4qia7PNLFP7Uvi18HW2kG4S4TjjTGHeh2QRIXO4/g3EdgdGACsAf4e3K9jG4eMMbnAVOAKa+3mbd20iX06vjGsiWObVOeukuj6fgJ2rbPdHVjtUSyyk6y1q4PffwZew106Wld9eTD4/WfvIpSd1Nyx1Hkc56y166y1ldbaKuAxai/76tjGGWNMOi7JmmKtfTW4W+duAmjq2Cbbuaskur65QF9jTG9jTAauCP4Nj2OSHWCMyTHGtKr+GTgKWIg7nucEb3YO8Lo3EUoLaO5YvgGcHZzpfyCwqfrSscSHBnWwJ+HOXXDH9tfGmExjTG/cBLQ50Y5PQmOMMcATwLfW2vvq/Ernbpxr7tgm27mb5nUAscRaW2GMuRR4F0gF/mWtXeRxWLJjOgOvufOcNOA5a+07xpi5wEvGmPOAFcCpHsYoITLGPA8cDnQwxvwE3AzcSdPHcgYwCjdxxQ+Mi3rAErJmju3hxpgBuMu9PwIXAlhrFxljXgIKcN0BxltrK72IW0JyMHAW8I0xZn5w33Xo3E0EzR3bscl07mrFQhERERGRMKmcQ0REREQkTEqiRURERETCpCRaRERERCRMSqJFRERERMKkJFpEREREJExKokVE4oAx5nFjTP/gz9eFcPunjDGnNLG/lzFmYTP3+cAYk7/z0YqIJD4l0SIiccBae761tiC4ud0kWkREIktJtIhIDAmOFC82xkw2xiwwxrxijPFVjxIbY+4Eso0x840xU4L3OTt426+NMc/UebhDjTGfGmN+aGZUOtsY80Lwvi8C2cH9PY0xS40xHYwxKcaYj40xR0XlP0BEJE5oxUIRkdizJ3CetXa2MeZfwCXVv7DWXmOMudRaOwDAGLM3cD1wsLV2vTGmXZ3H6QIcAuyFW3b3lQbPczHgt9buZ4zZD/gy+BzLjTF3AY8AnwMF1tr3IvIvFRGJUxqJFhGJPSuttbODPz+LS4SbMxx4xVq7HsBaW1Tnd9OstVXBMpDOTdz30ODjY61dACyo/oW19nGgFXARcNWO/kNERBKVkmgRkdhjt7Ndl9nG78sa3C6U53I3NsYHdA9u5m7j+UVEkpKSaBGR2NPDGHNQ8OexwCcNfh8wxqQHf54JnGaMaQ/QoJxjez4CfhO83z7AfnV+dxcwBbgJeCy88EVEEp+SaBGR2PMtcI4xZgHQDpjY4PeTgAXGmCnW2kXAHcCHxpivgfvCeJ6JQG7wea4G5gAYYw4DBgN3WWunAOXGmHE79S8SEUkwxtptXSUUEZFoMsb0At601u7jcSgiIrINGokWEREREQmTRqJFRERERMKkkWgRERERkTApiRYRERERCZOSaBERERGRMCmJFhEREREJk5JoEREREZEwKYkWEREREQnT/wP9bliXEMoabwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "color= ['green' if f=='top' else 'yellow' for f in pitchDF['frame'].tolist()]\n",
    "pitchDF.index.rename('idx', inplace=True)\n",
    "#pitchDF['pitchIdx'].astype(float)\n",
    "pitchDF.dtypes\n",
    "pitchDF.plot(kind='scatter',x='pitchIdx', y='speed', color=color,  figsize=[12,6])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Select operations from the Dataframe\n",
    "#### Range"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "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>pitchIdx</th>\n",
       "      <th>inning</th>\n",
       "      <th>frame</th>\n",
       "      <th>ab</th>\n",
       "      <th>abIdx</th>\n",
       "      <th>batter</th>\n",
       "      <th>stand</th>\n",
       "      <th>speed</th>\n",
       "      <th>pitchtype</th>\n",
       "      <th>px</th>\n",
       "      <th>pz</th>\n",
       "      <th>szTop</th>\n",
       "      <th>szBottom</th>\n",
       "      <th>des</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>94.6</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>1.33</td>\n",
       "      <td>3.66</td>\n",
       "      <td>1.71</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>90.5</td>\n",
       "      <td>slider</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>0.36</td>\n",
       "      <td>3.53</td>\n",
       "      <td>1.58</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>3.47</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>85.0</td>\n",
       "      <td>slider</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>3.33</td>\n",
       "      <td>3.48</td>\n",
       "      <td>1.61</td>\n",
       "      <td>Called Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>Brandon Barnes</td>\n",
       "      <td>R</td>\n",
       "      <td>93.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.05</td>\n",
       "      <td>2.59</td>\n",
       "      <td>3.53</td>\n",
       "      <td>1.60</td>\n",
       "      <td>In play, out(s)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>94.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.03</td>\n",
       "      <td>1.09</td>\n",
       "      <td>3.64</td>\n",
       "      <td>1.59</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  pitchIdx inning frame ab abIdx           batter stand  speed  pitchtype  \\\n",
       "3        3      1   top  1     3  Corey Dickerson     L   94.6  4-seam fb   \n",
       "4        4      1   top  1     4  Corey Dickerson     L   90.5     slider   \n",
       "5        5      1   top  1     5  Corey Dickerson     L   93.8  4-seam fb   \n",
       "6        6      1   top  1     6  Corey Dickerson     L   85.0     slider   \n",
       "7        7      1   top  2     1   Brandon Barnes     R   93.4  4-seam fb   \n",
       "8        8      1   top  3     1  Troy Tulowitzki     R   94.4  4-seam fb   \n",
       "\n",
       "     px    pz  szTop  szBottom              des  \n",
       "3 -1.67  1.33   3.66      1.71             Ball  \n",
       "4 -2.00  0.36   3.53      1.58             Ball  \n",
       "5 -0.26  3.47   3.40      1.51             Foul  \n",
       "6 -0.28  3.33   3.48      1.61    Called Strike  \n",
       "7  0.05  2.59   3.53      1.60  In play, out(s)  \n",
       "8  0.03  1.09   3.64      1.59             Ball  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pitchDF[2:8]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### One AtBat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "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>pitchIdx</th>\n",
       "      <th>inning</th>\n",
       "      <th>frame</th>\n",
       "      <th>ab</th>\n",
       "      <th>abIdx</th>\n",
       "      <th>batter</th>\n",
       "      <th>stand</th>\n",
       "      <th>speed</th>\n",
       "      <th>pitchtype</th>\n",
       "      <th>px</th>\n",
       "      <th>pz</th>\n",
       "      <th>szTop</th>\n",
       "      <th>szBottom</th>\n",
       "      <th>des</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>idx</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>41</td>\n",
       "      <td>2</td>\n",
       "      <td>top</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>Wilin Rosario</td>\n",
       "      <td>R</td>\n",
       "      <td>92.0</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.03</td>\n",
       "      <td>3.89</td>\n",
       "      <td>3.37</td>\n",
       "      <td>1.6</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>42</td>\n",
       "      <td>2</td>\n",
       "      <td>top</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>Wilin Rosario</td>\n",
       "      <td>R</td>\n",
       "      <td>92.1</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>3.38</td>\n",
       "      <td>3.37</td>\n",
       "      <td>1.6</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>43</td>\n",
       "      <td>2</td>\n",
       "      <td>top</td>\n",
       "      <td>10</td>\n",
       "      <td>3</td>\n",
       "      <td>Wilin Rosario</td>\n",
       "      <td>R</td>\n",
       "      <td>92.2</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>2.46</td>\n",
       "      <td>3.37</td>\n",
       "      <td>1.6</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>44</td>\n",
       "      <td>2</td>\n",
       "      <td>top</td>\n",
       "      <td>10</td>\n",
       "      <td>4</td>\n",
       "      <td>Wilin Rosario</td>\n",
       "      <td>R</td>\n",
       "      <td>72.6</td>\n",
       "      <td>curveball</td>\n",
       "      <td>0.54</td>\n",
       "      <td>2.91</td>\n",
       "      <td>3.37</td>\n",
       "      <td>1.6</td>\n",
       "      <td>Called Strike</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    pitchIdx inning frame  ab abIdx         batter stand  speed  pitchtype  \\\n",
       "idx                                                                          \n",
       "41        41      2   top  10     1  Wilin Rosario     R   92.0  4-seam fb   \n",
       "42        42      2   top  10     2  Wilin Rosario     R   92.1  4-seam fb   \n",
       "43        43      2   top  10     3  Wilin Rosario     R   92.2  4-seam fb   \n",
       "44        44      2   top  10     4  Wilin Rosario     R   72.6  curveball   \n",
       "\n",
       "       px    pz  szTop  szBottom            des  \n",
       "idx                                              \n",
       "41   0.03  3.89   3.37       1.6           Ball  \n",
       "42  -0.34  3.38   3.37       1.6           Foul  \n",
       "43  -0.64  2.46   3.37       1.6           Foul  \n",
       "44   0.54  2.91   3.37       1.6  Called Strike  "
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pitchDF.loc[pitchDF['ab']=='10']\n",
    "#pitchDF.loc[pitchDF['ab']=='12']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### All AtBats for Dickerson"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pitchIdx</th>\n",
       "      <th>inning</th>\n",
       "      <th>frame</th>\n",
       "      <th>ab</th>\n",
       "      <th>abIdx</th>\n",
       "      <th>batter</th>\n",
       "      <th>stand</th>\n",
       "      <th>speed</th>\n",
       "      <th>pitchtype</th>\n",
       "      <th>px</th>\n",
       "      <th>pz</th>\n",
       "      <th>szTop</th>\n",
       "      <th>szBottom</th>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>idx</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.3</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>1.86</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Foul</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.3</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>2.75</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Swinging Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>94.6</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>1.33</td>\n",
       "      <td>3.66</td>\n",
       "      <td>1.71</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>90.5</td>\n",
       "      <td>slider</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>0.36</td>\n",
       "      <td>3.53</td>\n",
       "      <td>1.58</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>3.47</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>85.0</td>\n",
       "      <td>slider</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>3.33</td>\n",
       "      <td>3.48</td>\n",
       "      <td>1.61</td>\n",
       "      <td>Called Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>123</td>\n",
       "      <td>4</td>\n",
       "      <td>top</td>\n",
       "      <td>28</td>\n",
       "      <td>1</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>91.7</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.26</td>\n",
       "      <td>2.87</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Called Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>124</td>\n",
       "      <td>4</td>\n",
       "      <td>top</td>\n",
       "      <td>28</td>\n",
       "      <td>2</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>72.8</td>\n",
       "      <td>curveball</td>\n",
       "      <td>0.61</td>\n",
       "      <td>3.39</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Called Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>125</td>\n",
       "      <td>4</td>\n",
       "      <td>top</td>\n",
       "      <td>28</td>\n",
       "      <td>3</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>86.0</td>\n",
       "      <td>slider</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>3.36</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>In play, out(s)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>200</td>\n",
       "      <td>7</td>\n",
       "      <td>top</td>\n",
       "      <td>49</td>\n",
       "      <td>1</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>92.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.69</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Called Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>201</td>\n",
       "      <td>7</td>\n",
       "      <td>top</td>\n",
       "      <td>49</td>\n",
       "      <td>2</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>92.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-1.89</td>\n",
       "      <td>2.08</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>202</td>\n",
       "      <td>7</td>\n",
       "      <td>top</td>\n",
       "      <td>49</td>\n",
       "      <td>3</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>86.0</td>\n",
       "      <td>slider</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>2.80</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Ball</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>203</td>\n",
       "      <td>7</td>\n",
       "      <td>top</td>\n",
       "      <td>49</td>\n",
       "      <td>4</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>85.8</td>\n",
       "      <td>slider</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>2.19</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>In play, no out</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>254</th>\n",
       "      <td>254</td>\n",
       "      <td>9</td>\n",
       "      <td>top</td>\n",
       "      <td>65</td>\n",
       "      <td>1</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>94.3</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.65</td>\n",
       "      <td>3.06</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Swinging Strike</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>255</th>\n",
       "      <td>255</td>\n",
       "      <td>9</td>\n",
       "      <td>top</td>\n",
       "      <td>65</td>\n",
       "      <td>2</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>94.5</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.02</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>256</th>\n",
       "      <td>256</td>\n",
       "      <td>9</td>\n",
       "      <td>top</td>\n",
       "      <td>65</td>\n",
       "      <td>3</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>73.6</td>\n",
       "      <td>curveball</td>\n",
       "      <td>0.37</td>\n",
       "      <td>2.89</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Foul</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>257</th>\n",
       "      <td>257</td>\n",
       "      <td>9</td>\n",
       "      <td>top</td>\n",
       "      <td>65</td>\n",
       "      <td>4</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>86.5</td>\n",
       "      <td>slider</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>1.72</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Swinging Strike</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     pitchIdx inning frame  ab abIdx           batter stand  speed  pitchtype  \\\n",
       "idx                                                                             \n",
       "1           1      1   top   1     1  Corey Dickerson     L   93.3  4-seam fb   \n",
       "2           2      1   top   1     2  Corey Dickerson     L   93.3  4-seam fb   \n",
       "3           3      1   top   1     3  Corey Dickerson     L   94.6  4-seam fb   \n",
       "4           4      1   top   1     4  Corey Dickerson     L   90.5     slider   \n",
       "5           5      1   top   1     5  Corey Dickerson     L   93.8  4-seam fb   \n",
       "6           6      1   top   1     6  Corey Dickerson     L   85.0     slider   \n",
       "123       123      4   top  28     1  Corey Dickerson     L   91.7  4-seam fb   \n",
       "124       124      4   top  28     2  Corey Dickerson     L   72.8  curveball   \n",
       "125       125      4   top  28     3  Corey Dickerson     L   86.0     slider   \n",
       "200       200      7   top  49     1  Corey Dickerson     L   92.4  4-seam fb   \n",
       "201       201      7   top  49     2  Corey Dickerson     L   92.8  4-seam fb   \n",
       "202       202      7   top  49     3  Corey Dickerson     L   86.0     slider   \n",
       "203       203      7   top  49     4  Corey Dickerson     L   85.8     slider   \n",
       "254       254      9   top  65     1  Corey Dickerson     L   94.3  4-seam fb   \n",
       "255       255      9   top  65     2  Corey Dickerson     L   94.5  4-seam fb   \n",
       "256       256      9   top  65     3  Corey Dickerson     L   73.6  curveball   \n",
       "257       257      9   top  65     4  Corey Dickerson     L   86.5     slider   \n",
       "\n",
       "       px    pz  szTop  szBottom              des  \n",
       "idx                                                \n",
       "1   -0.52  1.86   3.40      1.51             Foul  \n",
       "2   -0.37  2.75   3.40      1.51  Swinging Strike  \n",
       "3   -1.67  1.33   3.66      1.71             Ball  \n",
       "4   -2.00  0.36   3.53      1.58             Ball  \n",
       "5   -0.26  3.47   3.40      1.51             Foul  \n",
       "6   -0.28  3.33   3.48      1.61    Called Strike  \n",
       "123  0.26  2.87   3.40      1.51    Called Strike  \n",
       "124  0.61  3.39   3.40      1.51    Called Strike  \n",
       "125 -0.84  3.36   3.40      1.51  In play, out(s)  \n",
       "200  0.08  1.69   3.40      1.51    Called Strike  \n",
       "201 -1.89  2.08   3.40      1.51             Ball  \n",
       "202 -1.67  2.80   3.40      1.51             Ball  \n",
       "203 -0.13  2.19   3.40      1.51  In play, no out  \n",
       "254  0.65  3.06   3.40      1.51  Swinging Strike  \n",
       "255  0.00  4.02   3.40      1.51             Foul  \n",
       "256  0.37  2.89   3.40      1.51             Foul  \n",
       "257 -0.66  1.72   3.40      1.51  Swinging Strike  "
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pitchDF.loc[pitchDF['batter']=='Corey Dickerson']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pitch Plotting (Drawing the Strike Zone)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2, 2)"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as patches\n",
    "%matplotlib inline\n",
    "\n",
    "\"\"\"matplotlib.pyplot is a collection of command shell style functions that make matplotlib \n",
    "work like MATLAB. Each pyplot function makes some change to a figure: e.g., creates a figure, \n",
    "creates a plotting area in a figure, plots some lines in a plotting area, decorates the plot with labels, etc.\n",
    "Pyplot maintains state across calls.\"\"\"\n",
    "\n",
    "fig1 = plt.figure()\n",
    "ax1 = fig1.add_subplot(111, aspect='equal')\n",
    "\n",
    "platewidthInFeet = 17 / 12 # plate is 17 inches wide\n",
    "expandedPlateInFeet = 20 / 12 # add ball width (half on each side)\n",
    "szHeightInFeet = 3.5 - 1.5\n",
    "ballInFeet = 3 / 12\n",
    "halfBallInFeet = ballInFeet / 2\n",
    "\n",
    "# draw expanded zone: 3 inch ball (.25 ft) = 1.5 inches all the way around\n",
    "ax1.add_patch(patches.Rectangle((expandedPlateInFeet/-2, 1.5 - halfBallInFeet), expandedPlateInFeet, szHeightInFeet + ballInFeet, color='lightblue'))\n",
    "\n",
    "# draw formal zone (plate only)\n",
    "ax1.add_patch(patches.Rectangle((platewidthInFeet/-2, 1.5), platewidthInFeet, szHeightInFeet))\n",
    "\n",
    "plt.ylim(0, 5)\n",
    "plt.xlim(-2, 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Kershaw Called Balls and Strikes (4 plots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 225,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pitchCalls = ['Called Strike', 'Ball']\n",
    "sides = ['R', 'L']\n",
    "colors = {'R':'red', 'L':'black'} \n",
    "markers = {'R':'x', 'L':'o'}\n",
    "\n",
    "for pitchCall in pitchCalls:\n",
    "    for sidename in sides: \n",
    "        df = pitchDF.loc[pitchDF['des']==pitchCall].loc[pitchDF['frame']=='top']\n",
    "        mark = markers[sidename]\n",
    "        colr = colors[sidename]\n",
    "        #print(\"Group:\" + sidename )\n",
    "        df_side = df.loc[pitchDF['stand']==sidename] \n",
    "        ax1 = df_side.plot(kind='scatter', x='px', y='pz', marker=mark, color=colr, figsize=[8,8], ylim=[0,4], xlim=[-2,2])\n",
    "\n",
    "        if sidename == 'R':\n",
    "            xcoord = -1.6\n",
    "            handers = \"right handers\"\n",
    "        else: \n",
    "            xcoord = 1.4\n",
    "            handers = \"left handers\"\n",
    "        txtbatter = ax1.text(xcoord, 2.5, sidename, style='italic', fontsize=24, color=colr,\n",
    "                bbox={'facecolor': 'blue', 'alpha': 0.2, 'pad': 10})\n",
    "\n",
    "        ax1.set_xlabel(pitchCall + \"s to \" + handers + \" (catcher's view).\")\n",
    "        ax1.set_ylabel('vertical location')\n",
    "        ax1.set_aspect(aspect=1)\n",
    "\n",
    "        platewidthInFeet = 17 / 12 # plate is 17 inches wide\n",
    "        expandedPlateInFeet = 20 / 12 # add ball width (half on each side)\n",
    "        szTop = df[\"szTop\"].iloc[0]\n",
    "        szBottom = df[\"szBottom\"].iloc[0]\n",
    "        szHeightInFeet = szTop - szBottom\n",
    "        ballInFeet = 3 / 12\n",
    "        halfBallInFeet = ballInFeet / 2\n",
    "        # draw expanded zone\n",
    "        outrect = ax1.add_patch(patches.Rectangle((expandedPlateInFeet/-2, szBottom - halfBallInFeet), \n",
    "                                                  expandedPlateInFeet, szHeightInFeet + ballInFeet, color='lightblue'))\n",
    "        # draw formal zone\n",
    "        rect = ax1.add_patch(patches.Rectangle((platewidthInFeet/-2, szBottom), platewidthInFeet, szHeightInFeet))\n",
    "        outrect.zorder=-2 \n",
    "        rect.zorder=-1 \n",
    "        \n",
    "        plt.ylim(0, 5)\n",
    "        plt.xlim(-2.5, 2.5)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dickerson AtBat #1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pitchDF.loc[pitchDF['ab']=='1'] # first atbat of the game\n",
    "\n",
    "ax1 = df.plot(kind='scatter', x='px', y='pz', color='red', figsize=[7,7], ylim=[0,4], xlim=[-2,2])\n",
    "ax1.set_xlabel(\"Catcher's View - horizontal location\")\n",
    "ax1.set_ylabel('vertical location')\n",
    "ax1.set_aspect(aspect=1)\n",
    "\n",
    "platewidthInFeet = 17 / 12 # plate is 17 inches wide\n",
    "expandedPlateInFeet = 20 / 12 # add ball width (half on each side)\n",
    "szTop = df[\"szTop\"].iloc[0]\n",
    "szBottom = df[\"szBottom\"].iloc[0]\n",
    "szHeightInFeet = szTop - szBottom\n",
    "ballInFeet = 3 / 12\n",
    "halfBallInFeet = ballInFeet / 2\n",
    "# draw expanded zone\n",
    "outrect = ax1.add_patch(patches.Rectangle((expandedPlateInFeet/-2, szBottom - halfBallInFeet), \n",
    "                                          expandedPlateInFeet, szHeightInFeet + ballInFeet, color='lightblue'))\n",
    "# draw formal zone\n",
    "rect = ax1.add_patch(patches.Rectangle((platewidthInFeet/-2, szBottom), platewidthInFeet, szHeightInFeet))\n",
    "\n",
    "outrect.zorder=-2 \n",
    "rect.zorder=-1 \n",
    "plt.ylim(0, 5)\n",
    "plt.xlim(-2.5, 2.5)\n",
    "\n",
    "stand = df['stand'].iloc[0]\n",
    "if  stand == 'R':\n",
    "    standTextX = -1.5\n",
    "else:\n",
    "    standTextX = 1.4\n",
    "tbatter = ax1.text(standTextX, 2.5, stand, style='italic', fontsize=24,\n",
    "        bbox={'facecolor': 'blue', 'alpha': 0.2, 'pad': 10})\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Label pitches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 4-seam fb -0.52 1.86\n",
      "2 4-seam fb -0.37 2.75\n",
      "3 4-seam fb -1.67 1.33\n",
      "4 slider -2.0 0.36\n",
      "5 4-seam fb -0.26 3.47\n",
      "6 slider -0.28 3.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pitchDF.loc[pitchDF['ab']=='1']\n",
    "#print(df)\n",
    "stand = df['stand'].iloc[0]\n",
    "batter = df['batter'].iloc[0]\n",
    "inning = df['inning'].iloc[0]\n",
    "frame = df[\"frame\"].iloc[0]\n",
    "suffix = \"th\"\n",
    "suffix = \"st\" if inning == '1' else suffix\n",
    "suffix = \"nd\" if inning == '2' else suffix\n",
    "suffix = \"rd\" if inning == '3' else suffix\n",
    "\n",
    "#print(\"Batter:\" + batter)\n",
    "ax1 = df.plot(kind='scatter', x='px', y='pz', color='red', figsize=[7,7], ylim=[0,4], xlim=[-2,2])\n",
    "ax1.set_xlabel(\"Catcher's View - \" + batter + \" (\" + frame + \" of the \" + inning + suffix + \")\")\n",
    "ax1.set_ylabel('vertical location')\n",
    "ax1.set_aspect(aspect=1)\n",
    "plt.ylim(0, 5)\n",
    "plt.xlim(-2.5, 2.5)\n",
    "\n",
    "platewidthInFeet = 17 / 12 # plate is 17 inches wide\n",
    "expandedPlateInFeet = 20 / 12 # add ball width (half on each side)\n",
    "szTop = df[\"szTop\"].iloc[0]\n",
    "szBottom = df[\"szBottom\"].iloc[0]\n",
    "szHeightInFeet = szTop - szBottom\n",
    "# draw expanded zone: 3 inch ball (.25 ft) = 1.5 inches all the way around\n",
    "outrect = ax1.add_patch(patches.Rectangle((expandedPlateInFeet/-2, szBottom - 0.125), expandedPlateInFeet, szHeightInFeet + 0.25, color='lightblue'))\n",
    "rect = ax1.add_patch(patches.Rectangle((platewidthInFeet/-2, szBottom), platewidthInFeet, szHeightInFeet))\n",
    "outrect.zorder=-2 \n",
    "rect.zorder=-1 \n",
    "\n",
    "if stand == 'R':\n",
    "    standTextX = -1.5\n",
    "else:\n",
    "    standTextX = 1.4\n",
    "tbatter = ax1.text(standTextX, 2.5, stand, style='italic', fontsize=24,\n",
    "        bbox={'facecolor': 'blue', 'alpha': 0.2, 'pad': 10})\n",
    "\n",
    "#label pitch points\n",
    "ptypes = df[\"pitchtype\"]\n",
    "xcoords = df[\"px\"]\n",
    "ycoords = df[\"pz\"]\n",
    "speed = df[\"speed\"]\n",
    "abIdx = df[\"abIdx\"]\n",
    "\n",
    "for i, txt in enumerate(ptypes):\n",
    "    print(abIdx.iloc[i], txt, xcoords.iloc[i], ycoords.iloc[i])\n",
    "    txtDetail = str(abIdx.iloc[i]) + \") \" + txt +  \" (\" + str(int(speed.iloc[i])) + \"mph)\"\n",
    "    txt = ax1.text(xcoords.iloc[i]+.1, ycoords.iloc[i]-.05, txtDetail, style='italic', fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[69, 69, 72, 60, 69, 45] ['red', 'red', 'red', 'white', 'red', 'white'] ['4-seam fb' 'slider']\n",
      "1 4-seam fb -0.52 1.86\n",
      "2 4-seam fb -0.37 2.75\n",
      "3 4-seam fb -1.67 1.33\n",
      "4 slider -2.0 0.36\n",
      "5 4-seam fb -0.26 3.47\n",
      "6 slider -0.28 3.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pitchColors = { \"FA\":\"b\", \"FF\":\"red\", \"FT\": \"y\", \"FC\": \"k\", \"\":\"w\", None: \"violet\",\n",
    "                    \"FS\":\"aqua\", \"SL\":\"white\", \"CH\":\"h\",\"CU\":\"gold\",\"KC\":\"tan\",\n",
    "                    \"KN\":\"^\",\"EP\":\"*\", \"UN\":\"X\", \"PO\":\"s\", \"SI\":\"_\", \"SF\":\"seagreen\"\n",
    "                    }\n",
    "df = pitchDF.loc[pitchDF['ab']=='1']\n",
    "#print(df)\n",
    "stand = df['stand'].iloc[0]\n",
    "batter = df['batter'].iloc[0]\n",
    "inning = df['inning'].iloc[0]\n",
    "frame = df[\"frame\"].iloc[0]\n",
    "suffix = \"th\"\n",
    "suffix = \"st\" if inning == '1' else suffix\n",
    "suffix = \"nd\" if inning == '2' else suffix\n",
    "suffix = \"rd\" if inning == '3' else suffix\n",
    "\n",
    "availColors = ['b','r','y','k','w']\n",
    "pitchesUsed = df['pitchtype'].unique()\n",
    "abCount = len(df['speed'])\n",
    "markerSize = [0] * abCount\n",
    "colors = ['b'] * abCount\n",
    "for i, sx in enumerate(df['speed']):\n",
    "    markerSize[i] = int(sx -  70)*3\n",
    "    thrownPitch = df['pitchtype'][i]\n",
    "    for j, (k, v) in enumerate(pitchDictionary.items()):\n",
    "        #print(\"j: {} pitchtype: {} index: {}, key: {}, value: {}\".format(j, thrownPitch, i, k, v))\n",
    "        if thrownPitch == v:\n",
    "            colors[i] = pitchColors[k]\n",
    "            \n",
    "print(markerSize, colors, pitchesUsed)\n",
    "\n",
    "#groups = df.groupby('pitchtype')\n",
    "#for i, (name, group) in enumerate(groups):\n",
    "#    group.plot(kind='scatter', x='px', y='pz', ylim=((0,4)), xlim=((0,4)),  label=name, ax=ax, color=colors[i])\n",
    "\n",
    "ax1 = df.plot(kind='scatter', x='px', y='pz',  color=colors, s=markerSize, marker=\"o\", figsize=[7,7], ylim=[0,4], xlim=[-2,2])\n",
    "ax1.set_xlabel(\"Catcher's View - \" + batter + \" (\" + frame + \" of the \" + inning + suffix + \")\")\n",
    "ax1.set_ylabel('vertical location')\n",
    "ax1.set_aspect(aspect=1)\n",
    "ax1.patch.set_facecolor(\"grey\")\n",
    "plt.ylim(0, 5)\n",
    "plt.xlim(-2.5, 2.5)\n",
    "\n",
    "platewidthInFeet = 17 / 12 # plate is 17 inches wide\n",
    "expandedPlateInFeet = 20 / 12 # add ball width (half on each side)\n",
    "szTop = df[\"szTop\"].iloc[0]\n",
    "szBottom = df[\"szBottom\"].iloc[0]\n",
    "szHeightInFeet = szTop - szBottom\n",
    "# draw expanded zone: 3 inch ball (.25 ft) = 1.5 inches all the way around\n",
    "outrect = ax1.add_patch(patches.Rectangle((expandedPlateInFeet/-2, szBottom - 0.125), expandedPlateInFeet, szHeightInFeet + 0.25, color='lightblue'))\n",
    "rect = ax1.add_patch(patches.Rectangle((platewidthInFeet/-2, szBottom), platewidthInFeet, szHeightInFeet))\n",
    "outrect.zorder=-2 \n",
    "rect.zorder=-1 \n",
    "\n",
    "if stand == 'R':\n",
    "    standTextX = -1.5\n",
    "else:\n",
    "    standTextX = 1.4\n",
    "tbatter = ax1.text(standTextX, 2.5, stand, style='italic', fontsize=24,\n",
    "        bbox={'facecolor': 'blue', 'alpha': 0.2, 'pad': 10})\n",
    "\n",
    "#label pitch points\n",
    "ptypes = df[\"pitchtype\"]\n",
    "xcoords = df[\"px\"]\n",
    "ycoords = df[\"pz\"]\n",
    "speed = df[\"speed\"]\n",
    "abIdx = df[\"abIdx\"]\n",
    "\n",
    "for i, txt in enumerate(ptypes):\n",
    "    print(abIdx.iloc[i], txt, xcoords.iloc[i], ycoords.iloc[i])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[69, 69, 72, 60, 69, 45] {'R': 'red', 'L': 'black'} ['4-seam fb' 'slider']\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import Rectangle\n",
    "from numpy.random import random\n",
    "\n",
    "df = pitchDF.loc[pitchDF['ab']=='1']\n",
    "\n",
    "pitchColors = { \"FA\":\"b\", \"FF\":\"b\", \"FT\": \"y\", \"FC\": \"k\", \"\":\"w\", None: \"violet\",\n",
    "                    \"FS\":\"aqua\", \"SL\":\"red\", \"CH\":\"h\",\"CU\":\"gold\",\"KC\":\"tan\",\n",
    "                    \"KN\":\"^\",\"EP\":\"*\", \"UN\":\"X\", \"PO\":\"s\", \"SI\":\"_\", \"SF\":\"seagreen\"\n",
    "                    }\n",
    "pitchMarkers = { \"FA\":\"x\", \"FF\":\"o\", \"FT\": \"1\", \"FC\": \"2\", \"\":\"2\", None: \"4\",\n",
    "                    \"FS\":\"aqua\", \"SL\":\"^\", \"CH\":\"h\",\"CU\":\"gold\",\"KC\":\"tan\",\n",
    "                    \"KN\":\"^\",\"EP\":\"*\", \"UN\":\"X\", \"PO\":\"s\", \"SI\":\"_\", \"SF\":\"seagreen\"\n",
    "                    }\n",
    "\n",
    "# define the dataframe slice (one at bat)\n",
    "\n",
    "stand = df['stand'].iloc[0]\n",
    "batter = df['batter'].iloc[0]\n",
    "inning = df['inning'].iloc[0]\n",
    "frame = df[\"frame\"].iloc[0]\n",
    "suffix = \"th\"\n",
    "suffix = \"st\" if inning == '1' else suffix\n",
    "suffix = \"nd\" if inning == '2' else suffix\n",
    "suffix = \"rd\" if inning == '3' else suffix\n",
    "\n",
    "plt.figure(figsize=(7,7)) \n",
    "\n",
    "platewidthInFeet = 17 / 12 # plate is 17 inches wide\n",
    "expandedPlateInFeet = 20 / 12 # add ball width (half on each side)\n",
    "szTop = df[\"szTop\"].iloc[0]\n",
    "szBottom = df[\"szBottom\"].iloc[0]\n",
    "szHeightInFeet = szTop - szBottom\n",
    "# draw expanded zone: 3 inch ball (.25 ft) = 1.5 inches all the way around\n",
    "\n",
    "currentAxis = plt.gca()\n",
    "currentAxis.add_patch(Rectangle((expandedPlateInFeet/-2, szBottom - 0.125), expandedPlateInFeet, szHeightInFeet + 0.25, color='lightblue'))\n",
    "currentAxis.add_patch(Rectangle((platewidthInFeet/-2, szBottom), platewidthInFeet, szHeightInFeet, facecolor=\"lightgrey\"))\n",
    "if stand == 'R':\n",
    "    standTextX = -1.5\n",
    "else:\n",
    "    standTextX = 1.4\n",
    "tbatter = currentAxis.text(standTextX, 2.5, stand, style='italic', fontsize=24,\n",
    "        bbox={'facecolor': 'blue', 'alpha': 0.2, 'pad': 10})\n",
    "\n",
    "pitchList = []\n",
    "availColors = ['b','r','y','k','w']\n",
    "pitchesUsed = df['pitchtype'].unique()\n",
    "abCount = len(df['speed'])\n",
    "markerSize = [0] * abCount\n",
    "for i, sx in enumerate(df['speed'].tolist()):\n",
    "    markerSize[i] = int(sx -  70)*3\n",
    "    thrownPitch = df['pitchtype'].tolist()[i]\n",
    "    for j, (k, v) in enumerate(pitchDictionary.items()):\n",
    "        if thrownPitch == v:\n",
    "            pitchList.append(plt.scatter(df['px'].iloc[i], df['pz'].iloc[i], marker=pitchMarkers[k], \n",
    "                                         color=pitchColors[k], label=v, zorder=2))\n",
    "            #print(\"i: {} j: {} pitch: {}, key: {}, value: {} marker: {} color:{}\".format(i, j, thrownPitch, k, v, pitchMarkers[k], pitchColors[k]))\n",
    "            \n",
    "print(markerSize, colors, pitchesUsed)\n",
    "\n",
    "# graph limits\n",
    "plt.ylim(0, 5)\n",
    "plt.xlim(-2.5, 2.5)\n",
    "plt.gca().set_aspect('equal', 'box')\n",
    "\n",
    "# draw legend by consolidating like pitch types\n",
    "handles, labels = plt.gca().get_legend_handles_labels()\n",
    "newLabels, newHandles = [], []\n",
    "for handle, label in zip(handles, labels):\n",
    "    if label not in newLabels:\n",
    "        newLabels.append(label)\n",
    "        newHandles.append(handle)\n",
    "plt.legend(newHandles, newLabels)\n",
    "\n",
    "# axis labels\n",
    "plt.xlabel(\"Catcher's View - \" + batter + \" (\" + frame + \" of the \" + inning + suffix + \")\")\n",
    "plt.ylabel('vertical location')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Add Ball-Strike count to dataframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 226,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Foul' 'Swinging Strike' 'Ball' 'Called Strike' 'In play, out(s)'\n",
      " 'Ball In Dirt' 'In play, run(s)' 'Swinging Strike (Blocked)' 'Foul Tip'\n",
      " 'In play, no out']\n"
     ]
    }
   ],
   "source": [
    "uniqDesList = pitchDF.des.unique()\n",
    "print(uniqDesList)\n",
    "# Declare a list that is to be converted into a column \n",
    "ballColList = [] \n",
    "strikeColList = []\n",
    "ballCount = 0\n",
    "strikeCount = 0\n",
    "\n",
    "for index, row in pitchDF.iterrows():\n",
    "    des = row['des']\n",
    "    if row['abIdx'] == 1: # first pitch in ab\n",
    "        ballCount = 0\n",
    "        strikeCount = 0\n",
    "        \n",
    "    # save count before this pitch was thrown, then update count\n",
    "    ballColList.append(ballCount)\n",
    "    strikeColList.append(strikeCount)\n",
    "    #print(index, row['ab'], row['abIdx'], row['des'], ballCount, strikeCount)\n",
    "    \n",
    "    if 'Ball' in des:\n",
    "        ballCount = ballCount + 1\n",
    "    elif 'Foul' in des:\n",
    "        if strikeCount is not 2:\n",
    "            strikeCount = strikeCount + 1\n",
    "    elif 'Strike' in des:\n",
    "        strikeCount = strikeCount + 1\n",
    "    \n",
    "# print(ballColList, strikeColList)\n",
    "pitchDF['ballCount'] = ballColList # equate column to list\n",
    "pitchDF['strikeCount'] = strikeColList # equate column to list\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "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",
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       "\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>pitchIdx</th>\n",
       "      <th>inning</th>\n",
       "      <th>frame</th>\n",
       "      <th>ab</th>\n",
       "      <th>abIdx</th>\n",
       "      <th>batter</th>\n",
       "      <th>stand</th>\n",
       "      <th>speed</th>\n",
       "      <th>pitchtype</th>\n",
       "      <th>px</th>\n",
       "      <th>pz</th>\n",
       "      <th>szTop</th>\n",
       "      <th>szBottom</th>\n",
       "      <th>des</th>\n",
       "      <th>ballCount</th>\n",
       "      <th>strikeCount</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>idx</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.3</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>1.86</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Foul</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.3</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>2.75</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Swinging Strike</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>94.6</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>1.33</td>\n",
       "      <td>3.66</td>\n",
       "      <td>1.71</td>\n",
       "      <td>Ball</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>90.5</td>\n",
       "      <td>slider</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>0.36</td>\n",
       "      <td>3.53</td>\n",
       "      <td>1.58</td>\n",
       "      <td>Ball</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>93.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>3.47</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Foul</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>Corey Dickerson</td>\n",
       "      <td>L</td>\n",
       "      <td>85.0</td>\n",
       "      <td>slider</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>3.33</td>\n",
       "      <td>3.48</td>\n",
       "      <td>1.61</td>\n",
       "      <td>Called Strike</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>Brandon Barnes</td>\n",
       "      <td>R</td>\n",
       "      <td>93.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.05</td>\n",
       "      <td>2.59</td>\n",
       "      <td>3.53</td>\n",
       "      <td>1.60</td>\n",
       "      <td>In play, out(s)</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>94.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.03</td>\n",
       "      <td>1.09</td>\n",
       "      <td>3.64</td>\n",
       "      <td>1.59</td>\n",
       "      <td>Ball</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>88.0</td>\n",
       "      <td>slider</td>\n",
       "      <td>-1.39</td>\n",
       "      <td>0.61</td>\n",
       "      <td>3.58</td>\n",
       "      <td>1.71</td>\n",
       "      <td>Swinging Strike</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>72.4</td>\n",
       "      <td>curveball</td>\n",
       "      <td>0.59</td>\n",
       "      <td>4.08</td>\n",
       "      <td>3.38</td>\n",
       "      <td>1.75</td>\n",
       "      <td>Ball</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>87.2</td>\n",
       "      <td>slider</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>1.75</td>\n",
       "      <td>3.58</td>\n",
       "      <td>1.71</td>\n",
       "      <td>Foul</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>Troy Tulowitzki</td>\n",
       "      <td>R</td>\n",
       "      <td>93.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.96</td>\n",
       "      <td>3.39</td>\n",
       "      <td>3.58</td>\n",
       "      <td>1.71</td>\n",
       "      <td>In play, out(s)</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>13</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>90.1</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>0.71</td>\n",
       "      <td>3.29</td>\n",
       "      <td>1.48</td>\n",
       "      <td>Ball</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>14</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>90.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>1.23</td>\n",
       "      <td>3.28</td>\n",
       "      <td>1.48</td>\n",
       "      <td>Ball</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>15</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>90.5</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.66</td>\n",
       "      <td>2.45</td>\n",
       "      <td>3.28</td>\n",
       "      <td>1.51</td>\n",
       "      <td>Called Strike</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>16</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>91.8</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>1.59</td>\n",
       "      <td>3.35</td>\n",
       "      <td>1.41</td>\n",
       "      <td>Ball</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>17</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>91.2</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.51</td>\n",
       "      <td>2.84</td>\n",
       "      <td>3.22</td>\n",
       "      <td>1.41</td>\n",
       "      <td>Called Strike</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>18</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>6</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>92.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>2.61</td>\n",
       "      <td>3.36</td>\n",
       "      <td>1.48</td>\n",
       "      <td>Foul</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>19</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>7</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>92.6</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.20</td>\n",
       "      <td>2.81</td>\n",
       "      <td>3.36</td>\n",
       "      <td>1.48</td>\n",
       "      <td>Foul</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>20</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "      <td>Dee Gordon</td>\n",
       "      <td>L</td>\n",
       "      <td>92.9</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>0.36</td>\n",
       "      <td>3.39</td>\n",
       "      <td>1.52</td>\n",
       "      <td>Ball In Dirt</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>21</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>91.7</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>0.09</td>\n",
       "      <td>2.07</td>\n",
       "      <td>3.51</td>\n",
       "      <td>1.63</td>\n",
       "      <td>Foul</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>22</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>87.4</td>\n",
       "      <td>fb-cutter</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>2.02</td>\n",
       "      <td>3.51</td>\n",
       "      <td>1.63</td>\n",
       "      <td>Foul</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>23</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>92.3</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-1.65</td>\n",
       "      <td>1.03</td>\n",
       "      <td>3.55</td>\n",
       "      <td>1.65</td>\n",
       "      <td>Ball</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>24</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>92.4</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>0.87</td>\n",
       "      <td>3.61</td>\n",
       "      <td>1.84</td>\n",
       "      <td>Ball</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>25</td>\n",
       "      <td>1</td>\n",
       "      <td>bottom</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>Hanley Ramirez</td>\n",
       "      <td>R</td>\n",
       "      <td>92.5</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>1.09</td>\n",
       "      <td>1.23</td>\n",
       "      <td>3.48</td>\n",
       "      <td>1.74</td>\n",
       "      <td>Ball</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     pitchIdx inning   frame ab abIdx           batter stand  speed  \\\n",
       "idx                                                                   \n",
       "1           1      1     top  1     1  Corey Dickerson     L   93.3   \n",
       "2           2      1     top  1     2  Corey Dickerson     L   93.3   \n",
       "3           3      1     top  1     3  Corey Dickerson     L   94.6   \n",
       "4           4      1     top  1     4  Corey Dickerson     L   90.5   \n",
       "5           5      1     top  1     5  Corey Dickerson     L   93.8   \n",
       "6           6      1     top  1     6  Corey Dickerson     L   85.0   \n",
       "7           7      1     top  2     1   Brandon Barnes     R   93.4   \n",
       "8           8      1     top  3     1  Troy Tulowitzki     R   94.4   \n",
       "9           9      1     top  3     2  Troy Tulowitzki     R   88.0   \n",
       "10         10      1     top  3     3  Troy Tulowitzki     R   72.4   \n",
       "11         11      1     top  3     4  Troy Tulowitzki     R   87.2   \n",
       "12         12      1     top  3     5  Troy Tulowitzki     R   93.8   \n",
       "13         13      1  bottom  4     1       Dee Gordon     L   90.1   \n",
       "14         14      1  bottom  4     2       Dee Gordon     L   90.8   \n",
       "15         15      1  bottom  4     3       Dee Gordon     L   90.5   \n",
       "16         16      1  bottom  4     4       Dee Gordon     L   91.8   \n",
       "17         17      1  bottom  4     5       Dee Gordon     L   91.2   \n",
       "18         18      1  bottom  4     6       Dee Gordon     L   92.4   \n",
       "19         19      1  bottom  4     7       Dee Gordon     L   92.6   \n",
       "20         20      1  bottom  4     8       Dee Gordon     L   92.9   \n",
       "21         21      1  bottom  5     1   Hanley Ramirez     R   91.7   \n",
       "22         22      1  bottom  5     2   Hanley Ramirez     R   87.4   \n",
       "23         23      1  bottom  5     3   Hanley Ramirez     R   92.3   \n",
       "24         24      1  bottom  5     4   Hanley Ramirez     R   92.4   \n",
       "25         25      1  bottom  5     5   Hanley Ramirez     R   92.5   \n",
       "\n",
       "     pitchtype    px    pz  szTop  szBottom              des  ballCount  \\\n",
       "idx                                                                       \n",
       "1    4-seam fb -0.52  1.86   3.40      1.51             Foul          0   \n",
       "2    4-seam fb -0.37  2.75   3.40      1.51  Swinging Strike          0   \n",
       "3    4-seam fb -1.67  1.33   3.66      1.71             Ball          0   \n",
       "4       slider -2.00  0.36   3.53      1.58             Ball          1   \n",
       "5    4-seam fb -0.26  3.47   3.40      1.51             Foul          2   \n",
       "6       slider -0.28  3.33   3.48      1.61    Called Strike          2   \n",
       "7    4-seam fb  0.05  2.59   3.53      1.60  In play, out(s)          0   \n",
       "8    4-seam fb  0.03  1.09   3.64      1.59             Ball          0   \n",
       "9       slider -1.39  0.61   3.58      1.71  Swinging Strike          1   \n",
       "10   curveball  0.59  4.08   3.38      1.75             Ball          1   \n",
       "11      slider -0.60  1.75   3.58      1.71             Foul          2   \n",
       "12   4-seam fb  0.96  3.39   3.58      1.71  In play, out(s)          2   \n",
       "13   4-seam fb -0.75  0.71   3.29      1.48             Ball          0   \n",
       "14   4-seam fb -0.77  1.23   3.28      1.48             Ball          1   \n",
       "15   4-seam fb  0.66  2.45   3.28      1.51    Called Strike          2   \n",
       "16   4-seam fb -2.36  1.59   3.35      1.41             Ball          2   \n",
       "17   4-seam fb  0.51  2.84   3.22      1.41    Called Strike          3   \n",
       "18   4-seam fb -0.27  2.61   3.36      1.48             Foul          3   \n",
       "19   4-seam fb  0.20  2.81   3.36      1.48             Foul          3   \n",
       "20   4-seam fb -0.98  0.36   3.39      1.52     Ball In Dirt          3   \n",
       "21   4-seam fb  0.09  2.07   3.51      1.63             Foul          0   \n",
       "22   fb-cutter -0.83  2.02   3.51      1.63             Foul          0   \n",
       "23   4-seam fb -1.65  1.03   3.55      1.65             Ball          0   \n",
       "24   4-seam fb -0.26  0.87   3.61      1.84             Ball          1   \n",
       "25   4-seam fb  1.09  1.23   3.48      1.74             Ball          2   \n",
       "\n",
       "     strikeCount  \n",
       "idx               \n",
       "1              0  \n",
       "2              1  \n",
       "3              2  \n",
       "4              2  \n",
       "5              2  \n",
       "6              2  \n",
       "7              0  \n",
       "8              0  \n",
       "9              0  \n",
       "10             1  \n",
       "11             1  \n",
       "12             2  \n",
       "13             0  \n",
       "14             0  \n",
       "15             0  \n",
       "16             1  \n",
       "17             1  \n",
       "18             2  \n",
       "19             2  \n",
       "20             2  \n",
       "21             0  \n",
       "22             1  \n",
       "23             2  \n",
       "24             2  \n",
       "25             2  "
      ]
     },
     "execution_count": 227,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pitchDF.head(25)\n",
    "#pitchDF.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Show Kershaw pitch tendency by count"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 229,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x1152 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "titleList = []\n",
    "dataList = []\n",
    "fig, axes = plt.subplots(4, 3, figsize=(12,16))\n",
    "\n",
    "for b in range(4):\n",
    "    for s in range(3):\n",
    "        #print(\"Count:\",str(b),str(s))\n",
    "        df = pitchDF.loc[(pitchDF['ballCount']==b) & (pitchDF['strikeCount']==s) & (pitchDF['frame']=='top')]\n",
    "        title = \"Count:\" + str(b) + \"-\" + str(s) + \" (\" + str(len(df)) + \")\"\n",
    "        titleList.append(title)\n",
    "        dataList.append(df)\n",
    "        #if df.size > 0:  #empty - no count encountered\n",
    "       \n",
    "for i, ax in enumerate(axes.flatten()):\n",
    "    x = dataList[i].pitchtype.value_counts() \n",
    "    l = dataList[i].pitchtype.unique()\n",
    "    #print(x)\n",
    "    ax.pie(x, radius = 1, autopct=\"%.1f%%\", pctdistance=0.9, labels=l)\n",
    "    ax.set_title(titleList[i])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "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>pitchIdx</th>\n",
       "      <th>inning</th>\n",
       "      <th>frame</th>\n",
       "      <th>ab</th>\n",
       "      <th>abIdx</th>\n",
       "      <th>batter</th>\n",
       "      <th>stand</th>\n",
       "      <th>speed</th>\n",
       "      <th>pitchtype</th>\n",
       "      <th>px</th>\n",
       "      <th>pz</th>\n",
       "      <th>szTop</th>\n",
       "      <th>szBottom</th>\n",
       "      <th>des</th>\n",
       "      <th>ballCount</th>\n",
       "      <th>strikeCount</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>idx</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>56</td>\n",
       "      <td>2</td>\n",
       "      <td>top</td>\n",
       "      <td>12</td>\n",
       "      <td>7</td>\n",
       "      <td>Josh Rutledge</td>\n",
       "      <td>R</td>\n",
       "      <td>93.1</td>\n",
       "      <td>4-seam fb</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>3.12</td>\n",
       "      <td>3.46</td>\n",
       "      <td>1.57</td>\n",
       "      <td>Foul</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>57</td>\n",
       "      <td>2</td>\n",
       "      <td>top</td>\n",
       "      <td>12</td>\n",
       "      <td>8</td>\n",
       "      <td>Josh Rutledge</td>\n",
       "      <td>R</td>\n",
       "      <td>88.2</td>\n",
       "      <td>slider</td>\n",
       "      <td>0.46</td>\n",
       "      <td>2.18</td>\n",
       "      <td>3.46</td>\n",
       "      <td>1.57</td>\n",
       "      <td>In play, out(s)</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     pitchIdx inning frame  ab abIdx         batter stand  speed  pitchtype  \\\n",
       "idx                                                                           \n",
       "56         56      2   top  12     7  Josh Rutledge     R   93.1  4-seam fb   \n",
       "57         57      2   top  12     8  Josh Rutledge     R   88.2     slider   \n",
       "\n",
       "       px    pz  szTop  szBottom              des  ballCount  strikeCount  \n",
       "idx                                                                        \n",
       "56  -0.84  3.12   3.46      1.57             Foul          3            2  \n",
       "57   0.46  2.18   3.46      1.57  In play, out(s)          3            2  "
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PitchCount:3-2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'PitchCount:3-2')"
      ]
     },
     "execution_count": 148,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "title = \"PitchCount:\" + str(df['ballCount'].iloc[0]) + \"-\" + str(df['strikeCount'].iloc[0])\n",
    "print(title)\n",
    " \n",
    "df.pitchtype.value_counts().plot(kind='pie')\n",
    "plt.axis('equal')\n",
    "plt.title(title)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {},
   "outputs": [
    {
     "ename": "IndexError",
     "evalue": "list index out of range",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mIndexError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-176-cede62940ce6>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m     11\u001b[0m     \u001b[0mx\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mX\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m/\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msum\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     12\u001b[0m     \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpie\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mradius\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mr\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mautopct\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m\"%.1f%%\"\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpctdistance\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0.9\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 13\u001b[1;33m     \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_title\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msplit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     14\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     15\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mIndexError\u001b[0m: list index out of range"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}