lab2/lab2.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Laboratorium"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Konfiguracja"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Narzędzie jest oparte o kilka zewnętrznych bibliotek, które potrzebujemy najpierw zaimportować.\n",
    "import numpy as np\n",
    "import random\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.collections as mcoll\n",
    "import matplotlib.colors as mcolors\n",
    "from matplotlib.widgets import Button\n",
    "import json as js\n",
    "\n",
    "# Parametr określający jak blisko (w odsetku całego widocznego zakresu) punktu początkowego \n",
    "# wielokąta musimy kliknąć, aby go zamknąć.\n",
    "TOLERANCE = 0.15\n",
    "\n",
    "def dist(point1, point2):\n",
    "    return np.sqrt(np.power(point1[0] - point2[0], 2) + np.power(point1[1] - point2[1], 2))\n",
    "\n",
    "# Klasa ta trzyma obecny stan wykresu oraz posiada metody, które mają zostać wykonane\n",
    "# po naciśnięciu przycisków.\n",
    "class _Button_callback(object):\n",
    "    def __init__(self, scenes):\n",
    "        self.i = 0\n",
    "        self.scenes = scenes\n",
    "        self.adding_points = False\n",
    "        self.added_points = []\n",
    "        self.adding_lines = False\n",
    "        self.added_lines = []\n",
    "        self.adding_rects = False\n",
    "        self.added_rects = []\n",
    "\n",
    "    def set_axes(self, ax):\n",
    "        self.ax = ax\n",
    "        \n",
    "    # Metoda ta obsługuje logikę przejścia do następnej sceny.\n",
    "    def next(self, event):\n",
    "        self.i = (self.i + 1) % len(self.scenes)\n",
    "        self.draw(autoscaling = True)\n",
    "\n",
    "    # Metoda ta obsługuje logikę powrotu do poprzedniej sceny.\n",
    "    def prev(self, event):\n",
    "        self.i = (self.i - 1) % len(self.scenes)\n",
    "        self.draw(autoscaling = True)\n",
    "        \n",
    "    # Metoda ta aktywuje funkcję rysowania punktów wyłączając równocześnie rysowanie \n",
    "    # odcinków i wielokątów.\n",
    "    def add_point(self, event):\n",
    "        self.adding_points = not self.adding_points\n",
    "        self.new_line_point = None\n",
    "        if self.adding_points:\n",
    "            self.adding_lines = False\n",
    "            self.adding_rects = False\n",
    "            self.added_points.append(PointsCollection([]))\n",
    "            \n",
    "    # Metoda ta aktywuje funkcję rysowania odcinków wyłączając równocześnie\n",
    "    # rysowanie punktów i wielokątów.     \n",
    "    def add_line(self, event):   \n",
    "        self.adding_lines = not self.adding_lines\n",
    "        self.new_line_point = None\n",
    "        if self.adding_lines:\n",
    "            self.adding_points = False\n",
    "            self.adding_rects = False\n",
    "            self.added_lines.append(LinesCollection([]))\n",
    "\n",
    "    # Metoda ta aktywuje funkcję rysowania wielokątów wyłączając równocześnie\n",
    "    # rysowanie punktów i odcinków.\n",
    "    def add_rect(self, event):\n",
    "        self.adding_rects = not self.adding_rects\n",
    "        self.new_line_point = None\n",
    "        if self.adding_rects:\n",
    "            self.adding_points = False\n",
    "            self.adding_lines = False\n",
    "            self.new_rect()\n",
    "    \n",
    "    def new_rect(self):\n",
    "        self.added_rects.append(LinesCollection([]))\n",
    "        self.rect_points = []\n",
    "        \n",
    "    # Metoda odpowiedzialna za właściwą logikę rysowania nowych elementów. W\n",
    "    # zależności od włączonego trybu dodaje nowe punkty, początek, koniec odcinka\n",
    "    # lub poszczególne wierzchołki wielokąta. Istnieje ciekawa logika sprawdzania\n",
    "    # czy dany punkt jest domykający dla danego wielokąta. Polega ona na tym, że\n",
    "    # sprawdzamy czy odległość nowego punktu od początkowego jest większa od\n",
    "    # średniej długości zakresu pomnożonej razy parametr TOLERANCE.   \n",
    "    def on_click(self, event):\n",
    "        if event.inaxes != self.ax:\n",
    "            return\n",
    "        new_point = (event.xdata, event.ydata)\n",
    "        if self.adding_points:\n",
    "            self.added_points[-1].add_points([new_point])\n",
    "            self.draw(autoscaling = False)\n",
    "        elif self.adding_lines:\n",
    "            if self.new_line_point is not None:\n",
    "                self.added_lines[-1].add([self.new_line_point, new_point])\n",
    "                self.new_line_point = None\n",
    "                self.draw(autoscaling = False)\n",
    "            else:\n",
    "                self.new_line_point = new_point\n",
    "        elif self.adding_rects:\n",
    "            if len(self.rect_points) == 0:\n",
    "                self.rect_points.append(new_point)\n",
    "            elif len(self.rect_points) == 1:\n",
    "                self.added_rects[-1].add([self.rect_points[-1], new_point])\n",
    "                self.rect_points.append(new_point)\n",
    "                self.draw(autoscaling = False)\n",
    "            elif len(self.rect_points) > 1:\n",
    "                if dist(self.rect_points[0], new_point) < (np.mean([self.ax.get_xlim(), self.ax.get_ylim()])*TOLERANCE):\n",
    "                    self.added_rects[-1].add([self.rect_points[-1], self.rect_points[0]])\n",
    "                    self.new_rect()\n",
    "                else:    \n",
    "                    self.added_rects[-1].add([self.rect_points[-1], new_point])\n",
    "                    self.rect_points.append(new_point)\n",
    "                self.draw(autoscaling = False)\n",
    "    \n",
    "    # Metoda odpowiedzialna za narysowanie całego wykresu. Warto zauważyć,\n",
    "    # że zaczyna się ona od wyczyszczenia jego wcześniejszego stanu. Istnieje w\n",
    "    # niej nietrywialna logika zarządzania zakresem wykresu, tak żeby, w zależności\n",
    "    # od ustawionego parametru autoscaling, uniknąć sytuacji, kiedy dodawanie\n",
    "    # nowych punktów przy brzegu obecnie widzianego zakresu powoduje niekorzystne\n",
    "    # przeskalowanie.\n",
    "    def draw(self, autoscaling = True):\n",
    "        if not autoscaling:\n",
    "            xlim = self.ax.get_xlim()\n",
    "            ylim = self.ax.get_ylim()\n",
    "        self.ax.clear()\n",
    "        for collection in (self.scenes[self.i].points + self.added_points):\n",
    "            if len(collection.points) > 0:\n",
    "                self.ax.scatter(*zip(*(np.array(collection.points))), **collection.kwargs)\n",
    "        for collection in (self.scenes[self.i].lines + self.added_lines + self.added_rects):\n",
    "            self.ax.add_collection(collection.get_collection())\n",
    "        self.ax.autoscale(autoscaling)\n",
    "        if not autoscaling:\n",
    "            self.ax.set_xlim(xlim)\n",
    "            self.ax.set_ylim(ylim)\n",
    "        plt.draw()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Interfejsy\n",
    "\n",
    "[Dostępne kolory](https://matplotlib.org/3.1.1/gallery/color/named_colors.html)\n",
    "\n",
    "[Dostępne znaczniki punktów](https://matplotlib.org/3.1.1/api/markers_api.html#module-matplotlib.markers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Klasa Scene odpowiada za przechowywanie elementów, które mają być\n",
    "# wyświetlane równocześnie. Konkretnie jest to lista PointsCollection i\n",
    "# LinesCollection.\n",
    "class Scene:\n",
    "    def __init__(self, points=[], lines=[]):\n",
    "        self.points=points\n",
    "        self.lines=lines\n",
    "\n",
    "# Klasa PointsCollection gromadzi w sobie punkty jednego typu, a więc takie,\n",
    "# które zostaną narysowane w takim samym kolorze i stylu. W konstruktorze\n",
    "# przyjmuje listę punktów rozumianych jako pary współrzędnych (x, y). Parametr\n",
    "# kwargs jest przekazywany do wywołania funkcji z biblioteki MatPlotLib przez\n",
    "# co użytkownik może podawać wszystkie parametry tam zaproponowane.        \n",
    "class PointsCollection:\n",
    "    def __init__(self, points, **kwargs):\n",
    "        self.points = points\n",
    "        self.kwargs = kwargs\n",
    "    \n",
    "    def add_points(self, points):\n",
    "        self.points = self.points + points\n",
    "\n",
    "# Klasa LinesCollection podobnie jak jej punktowy odpowiednik gromadzi\n",
    "# odcinki tego samego typu. Tworząc ją należy podać listę linii, gdzie każda\n",
    "# z nich jest dwuelementową listą punktów – par (x, y). Parametr kwargs jest\n",
    "# przekazywany do wywołania funkcji z biblioteki MatPlotLib przez co użytkownik\n",
    "# może podawać wszystkie parametry tam zaproponowane.\n",
    "class LinesCollection:\n",
    "    def __init__(self, lines, **kwargs):\n",
    "        self.lines = lines\n",
    "        self.kwargs = kwargs\n",
    "        \n",
    "    def add(self, line):\n",
    "        self.lines.append(line)\n",
    "        \n",
    "    def get_collection(self):\n",
    "        return mcoll.LineCollection(self.lines, **self.kwargs)\n",
    "\n",
    "# Klasa Plot jest najważniejszą klasą w całym programie, ponieważ agreguje\n",
    "# wszystkie przygotowane sceny, odpowiada za stworzenie wykresu i przechowuje\n",
    "# referencje na przyciski, dzięki czemu nie będą one skasowane podczas tzw.\n",
    "# garbage collectingu.\n",
    "class Plot:\n",
    "    def __init__(self, scenes = [Scene()], points = [], lines = [], json = None):\n",
    "        if json is None:\n",
    "            self.scenes = scenes\n",
    "            if points or lines:\n",
    "                self.scenes[0].points = points\n",
    "                self.scenes[0].lines = lines\n",
    "        else:\n",
    "            self.scenes = [Scene([PointsCollection(pointsCol) for pointsCol in scene[\"points\"]], \n",
    "                                 [LinesCollection(linesCol) for linesCol in scene[\"lines\"]]) \n",
    "                           for scene in js.loads(json)]\n",
    "    \n",
    "    # Ta metoda ma szczególne znaczenie, ponieważ konfiguruje przyciski i\n",
    "    # wykonuje tym samym dość skomplikowaną logikę. Zauważmy, że konfigurując każdy\n",
    "    # przycisk podajemy referencję na metodę obiektu _Button_callback, która\n",
    "    # zostanie wykonana w momencie naciśnięcia.\n",
    "    def __configure_buttons(self):\n",
    "        plt.subplots_adjust(bottom=0.2)\n",
    "        ax_prev = plt.axes([0.6, 0.05, 0.15, 0.075])\n",
    "        ax_next = plt.axes([0.76, 0.05, 0.15, 0.075])\n",
    "        ax_add_point = plt.axes([0.44, 0.05, 0.15, 0.075])\n",
    "        ax_add_line = plt.axes([0.28, 0.05, 0.15, 0.075])\n",
    "        ax_add_rect = plt.axes([0.12, 0.05, 0.15, 0.075])\n",
    "        b_next = Button(ax_next, 'Następny')\n",
    "        b_next.on_clicked(self.callback.next)\n",
    "        b_prev = Button(ax_prev, 'Poprzedni')\n",
    "        b_prev.on_clicked(self.callback.prev)\n",
    "        b_add_point = Button(ax_add_point, 'Dodaj punkt')\n",
    "        b_add_point.on_clicked(self.callback.add_point)\n",
    "        b_add_line = Button(ax_add_line, 'Dodaj linię')\n",
    "        b_add_line.on_clicked(self.callback.add_line)\n",
    "        b_add_rect = Button(ax_add_rect, 'Dodaj figurę')\n",
    "        b_add_rect.on_clicked(self.callback.add_rect)\n",
    "        return [b_prev, b_next, b_add_point, b_add_line, b_add_rect]\n",
    "    \n",
    "    def add_scene(self, scene):\n",
    "        self.scenes.append(scene)\n",
    "    \n",
    "    def add_scenes(self, scenes):\n",
    "        self.scenes = self.scenes + scenes\n",
    "\n",
    "    # Metoda toJson() odpowiada za zapisanie stanu obiektu do ciągu znaków w\n",
    "    # formacie JSON.\n",
    "    def toJson(self):\n",
    "        return js.dumps([{\"points\": [np.array(pointCol.points).tolist() for pointCol in scene.points], \n",
    "                          \"lines\":[linesCol.lines for linesCol in scene.lines]} \n",
    "                         for scene in self.scenes])    \n",
    "    \n",
    "    # Metoda ta zwraca punkty dodane w trakcie rysowania.\n",
    "    def get_added_points(self):\n",
    "        if self.callback:\n",
    "            return self.callback.added_points\n",
    "        else:\n",
    "            return None\n",
    "    \n",
    "    # Metoda ta zwraca odcinki dodane w trakcie rysowania.\n",
    "    def get_added_lines(self):\n",
    "        if self.callback:\n",
    "            return self.callback.added_lines\n",
    "        else:\n",
    "            return None\n",
    "        \n",
    "    # Metoda ta zwraca wielokąty dodane w trakcie rysowania.\n",
    "    def get_added_figure(self):\n",
    "        if self.callback:\n",
    "            return self.callback.added_rects\n",
    "        else:\n",
    "            return None\n",
    "    \n",
    "    # Metoda ta zwraca punkty, odcinki i wielokąty dodane w trakcie rysowania\n",
    "    # jako scenę.\n",
    "    def get_added_elements(self):\n",
    "        if self.callback:\n",
    "            return Scene(self.callback.added_points, self.callback.added_lines+self.callback.added_rects)\n",
    "        else:\n",
    "            return None\n",
    "    \n",
    "    # Główna metoda inicjalizująca wyświetlanie wykresu.\n",
    "    def draw(self):\n",
    "        plt.close()\n",
    "        fig = plt.figure()\n",
    "        self.callback = _Button_callback(self.scenes)\n",
    "        self.widgets = self.__configure_buttons()\n",
    "        ax = plt.axes(autoscale_on = False)\n",
    "        self.callback.set_axes(ax)\n",
    "        fig.canvas.mpl_connect('button_press_event', self.callback.on_click)\n",
    "        plt.show()\n",
    "        self.callback.draw()\n",
    "        \n",
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:2px solid gray\">\n",
    "\n",
    "# Rozwiązanie"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Konfiguracja zbiorów danych i tolerancji"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "N_1 = 100\n",
    "R_X1 = (-100,100)\n",
    "R_Y1 = (-100,100)\n",
    "\n",
    "N_2 = 100\n",
    "S_2 = (0,0)\n",
    "R_2 = 10\n",
    "\n",
    "N_3 = 100\n",
    "V_3 = ((-10,10), (-10,-10), (10,-10), (10,10))\n",
    "\n",
    "N_4 = 25\n",
    "D_4 = 20\n",
    "V_4 = ((0,0), (10,0), (10,10), (0,10))\n",
    "\n",
    "TOL = 10e-12"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Własna implementacja wyznacznika"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def det3x3(matrix):\n",
    "    return (matrix[0, 0] * matrix[1, 1] * matrix[2, 2] + \n",
    "            matrix[1, 0] * matrix[2, 1] * matrix[0, 2] + \n",
    "            matrix[2, 0] * matrix[0, 1] * matrix[1, 2] - \n",
    "            matrix[2, 0] * matrix[1, 1] * matrix[0, 2] - \n",
    "            matrix[1, 0] * matrix[0, 1] * matrix[2, 2] - \n",
    "            matrix[0, 0] * matrix[2, 1] * matrix[1, 2])\n",
    "\n",
    "def det(a, b, c):\n",
    "    matrix = np.array([[a[0], a[1], 1], [b[0], b[1], 1], [c[0], c[1], 1]])\n",
    "    return det3x3(matrix)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "## Zestaw danych 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "points1 = []\n",
    "for i in range(N_1):\n",
    "    x = random.uniform(R_X1[0], R_X1[1])\n",
    "    y = random.uniform(R_Y1[0], R_Y1[1])\n",
    "    points1.append((x, y))\n",
    "\n",
    "plot = Plot(points=[PointsCollection(points1)])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "## Zestaw danych 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "points2 = []\n",
    "for i in range(N_2):\n",
    "    a = random.uniform(0, 2*np.pi)\n",
    "    x = np.cos(a)*(R_2**2) + S_2[0]\n",
    "    y = np.sin(a)*(R_2**2) + S_2[1]\n",
    "    points2.append((x, y))\n",
    "    \n",
    "plot = Plot(points=[PointsCollection(points2)])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "## Zestaw danych 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "v1 = V_3[0]\n",
    "v2 = V_3[1]\n",
    "v3 = V_3[2]\n",
    "v4 = V_3[3]\n",
    "points3 = []\n",
    "for i in range(N_3):\n",
    "    side = random.choice((1,2,3,4))\n",
    "    if side == 1:\n",
    "        x = random.uniform(v1[0], v2[0])\n",
    "        y = random.uniform(v1[1], v2[1])\n",
    "    elif side == 2:\n",
    "        x = random.uniform(v2[0], v3[0])\n",
    "        y = random.uniform(v2[1], v3[1])\n",
    "    elif side == 3:\n",
    "        x = random.uniform(v3[0], v4[0])\n",
    "        y = random.uniform(v3[1], v4[1])\n",
    "    elif side == 4:\n",
    "        x = random.uniform(v4[0], v1[0])\n",
    "        y = random.uniform(v4[1], v1[1])\n",
    "    \n",
    "    points3.append((x, y))\n",
    "\n",
    "plot = Plot(points=[PointsCollection(points3)])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "## Zestaw danych 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "v1 = V_4[0]\n",
    "v2 = V_4[1]\n",
    "v3 = V_4[2]\n",
    "v4 = V_4[3]\n",
    "points4 = [V_4[0], V_4[1], V_4[2], V_4[3]]\n",
    "for i in range(N_4):\n",
    "    x = random.uniform(v1[0], v2[0])\n",
    "    y = random.uniform(v1[1], v2[1])\n",
    "    points4.append((x, y))               \n",
    "for i in range(N_4):\n",
    "    x = random.uniform(v1[0], v4[0])\n",
    "    y = random.uniform(v1[1], v4[1])\n",
    "    points4.append((x, y))\n",
    "                   \n",
    "for i in range(D_4):\n",
    "    x = random.uniform(v1[0], v2[0])\n",
    "    y = x + v1[1]\n",
    "    points4.append((x, y))\n",
    "for i in range(D_4):\n",
    "    x = random.uniform(v4[0], v3[0])\n",
    "    y = -x + v4[1]\n",
    "    points4.append((x, y))\n",
    "    \n",
    "\n",
    "plot = Plot(points=[PointsCollection(points4)])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "## Funkcje pomocnicze - distance, quicksort, orient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dist(a, b):\n",
    "    return np.sqrt((b[0]-a[0])**2+(b[1]-a[1])**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def partition(arr, root, low, high):\n",
    "    i = (low-1)        \n",
    "    pivot = arr[high]     \n",
    " \n",
    "    for j in range(low, high):\n",
    "        if orient(root, arr[j], pivot) == 1 or (orient(root, arr[j], pivot) == 0 and dist(root, arr[j]) > dist(root, pivot)):\n",
    "            i = i+1\n",
    "            arr[i], arr[j] = arr[j], arr[i]\n",
    "    arr[i+1], arr[high] = arr[high], arr[i+1]\n",
    "    return (i+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def quickSort(arr, root, low, high):\n",
    "    if len(arr) == 1:\n",
    "        return arr\n",
    "    if low < high:\n",
    "        pi = partition(arr, root, low, high)\n",
    "        quickSort(arr, root, low, pi-1)\n",
    "        quickSort(arr, root, pi+1, high)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def orient(a, b, c):\n",
    "    d = det(a, b, c)\n",
    "    if d > TOL:\n",
    "        return 1\n",
    "    elif d < -TOL:\n",
    "        return -1\n",
    "    else:\n",
    "        return 0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "## Algorytm Grahama"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Graham(points_raw, step_visualisation = True):\n",
    "    \n",
    "    scenes = []\n",
    "    \n",
    "    points = points_raw.copy()\n",
    "    root = min(points, key = lambda k: (k[1],k[0]))\n",
    "    \n",
    "    points.remove(root)\n",
    "    quickSort(points, root, 0, len(points)-1)\n",
    "    points = [root] + points\n",
    "\n",
    "    stack = [] \n",
    "    stack.append(points[0])\n",
    "    stack.append(points[1])\n",
    "    stack.append(points[2])\n",
    "    i = 3\n",
    "    while i < len(points):\n",
    "        if step_visualisation:\n",
    "            scenes.append(Scene([PointsCollection(points), PointsCollection(stack.copy(), color=\"red\"), \n",
    "                                 PointsCollection([points[i]], color=\"cyan\")],\n",
    "                                [LinesCollection([(stack[i], stack[i+1]) for i in range(len(stack)-1)], color=\"red\"), \n",
    "                                 LinesCollection([(points[i], stack[-1])], color=\"cyan\")]))\n",
    "        if orient(stack[-2], stack[-1], points[i]) == 0:\n",
    "            stack.pop()\n",
    "            stack.append(points[i])\n",
    "            i = i + 1    \n",
    "        elif orient(stack[-2], stack[-1], points[i]) == 1:\n",
    "            stack.append(points[i])\n",
    "            i = i + 1\n",
    "        else:\n",
    "            stack.pop()\n",
    "\n",
    "    if orient(stack[-2], stack[-1], root) == 0:\n",
    "        stack.pop()\n",
    "        \n",
    "    lines = [(stack[i], stack[i+1]) for i in range(len(stack)-1)]\n",
    "    lines.append([stack[-1], stack[0]])\n",
    "    \n",
    "    final_scene = Scene([PointsCollection(points), PointsCollection(stack, color=\"red\")], [LinesCollection(lines, color=\"red\")])\n",
    "    scenes = [final_scene] + scenes\n",
    "            \n",
    "    return (stack, scenes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Algorytm  Grahama dla 1. zestawu danych"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAgAElEQVR4XuydB5QUxfbGP1iihEVgyRkxAJIECaIIGFBEEBURUFHCU1EBJYiBIFlE9EkQRDEgCAZAMD5U5A+KkpUgCkqOS1gkLrD7PzXNLLvL7k7PVHVNdffX53DwPaqqb/3unalvbqVsycnJyeBDAiRAAiRAAiRAAiTgGwLZKAB942t2lARIgARIgARIgAQCBCgAGQgkQAIkQAIkQAIk4DMCFIA+czi7SwIkQAIkQAIkQAIUgIwBEiABEiABEiABEvAZAQpAnzmc3SUBEiABEiABEiABCkDGAAmQAAmQAAmQAAn4jAAFoM8czu6SAAmQAAmQAAmQAAUgY4AESIAESIAESIAEfEaAAtBnDmd3SYAESIAESIAESIACkDFAAiRAAiRAAiRAAj4jQAHoM4ezuyRAAiRAAiRAAiRAAcgYIAESIAESIAESIAGfEaAA9JnD2V0SIAESIAESIAESoABkDJAACZAACZAACZCAzwhQAPrM4ewuCZAACZAACZAACVAAMgZIgARIgARIgARIwGcEKAB95nB2lwRIgARIgARIgAQoABkDJEACJEACJEACJOAzAhSAPnM4u0sCJEACJEACJEACFICMARIgARIgARIgARLwGQEKQJ85nN0lARIgARIgARIgAQpAxgAJkAAJkAAJkAAJ+IwABaDPHM7ukgAJkAAJkAAJkAAFIGOABEiABEiABEiABHxGgALQZw5nd0mABEiABEiABEiAApAxQAIkQAIkQAIkQAI+I0AB6DOHs7skQAIkQAIkQAIkQAHIGCABEiABEiABEiABnxGgAPSZw9ldEiABEiABEiABEqAAZAyQAAmQAAmQAAmQgM8IUAD6zOHsLgmQAAmQAAmQAAlQADIGSIAESIAESIAESMBnBCgAfeZwdpcESIAESIAESIAEKAAZAyRAAiRAAiRAAiTgMwIUgD5zOLtLAiRAAiRAAiRAAhSAjAESIAESIAESIAES8BkBCkCfOZzdJQESIAESIAESIAEKQMYACZAACZAACZAACfiMAAWgzxzO7pIACZAACZAACZAABSBjgARIgARIgARIgAR8RoAC0GcOZ3dJgARIgARIgARIgAKQMUACJEACJEACJEACPiNAAegzh7O7JEACJEACJEACJEAByBggARIgARIgARIgAZ8RoAD0mcPZXRIgARIgARIgARKgAGQMkAAJkAAJkAAJkIDPCFAA+szh7C4JkAAJkAAJkAAJUAAyBkiABEiABEiABEjAZwQoAH3mcHaXBEiABEiABEiABCgAGQMkQAIkQAIkQAIk4DMCFIA+czi7SwIkQAIkQAIkQAIUgIwBEiABEiABEiABEvAZAQpAnzmc3SUBEiABEiABEiABCkDGAAmQAAmQAAmQAAn4jAAFoM8czu6SAAmQAAmQAAmQAAUgY4AESIAESIAESIAEfEaAAlDC4UlJSdi9ezcKFCiAbNmySbTEqiRAAiRAAiRAAroIJCcn499//0WpUqWQPXt2Xa816j0UgBLu2LlzJ8qWLSvRAquSAAmQAAmQAAlEi8COHTtQpkyZaL0+qu+lAJTAn5CQgEKFCkEEUMGCBSVaYlUSIAESIAESIAFdBI4ePRpI4Bw5cgSxsbG6XmvUeygAJdwhAkgEjhCCFIASIFmVBEiABEiABDQS4PgNUABKBBwDSAIeq5IACZAACZBAlAhw/KYAlAo9BpAUPlYmARIgARIggagQ4PhNASgVeAwgKXysTAIkQAIkQAJRIcDxmwJQKvAYQFL4WJkESIAESIAEokKA4zcFoFTgMYCk8LEyCZAACZAACUSFAMdvCkCpwGMASeFjZRIgARIgARKICgGO3xSAUoHHAJLCx8oGEzh35iz+mP0FTm7fibzlyuDKdi0RkzOHwRbTNBIgARKwT4Djt0sF4OLFizFmzBisXLkSe/bswZw5c9CmTZsUz4srXoYMGYIpU6bg8OHDqF+/PiZMmIBq1aqllDl9+jT69OmDmTNn4uTJk2jevDkmTpwY1ongDCD7HzaWdA+B1a+9jVKDnkXxo/EpRu8rWBS7h4xC7V5d3NMRWkoCJEACmRDg+O1SAfjVV19h6dKlqFOnDu6+++6LBODo0aMxfPhwvPvuu7j88ssxbNgwCNG4adOmwL294nnssccwf/78QJkiRYrgmWeewaFDhwKiMiYmxtaHhgFkCxMLuYiAEH81e3cNWJz6dsyk831YO24qRaCL/ElTSYAEMibA8dulAjC1O7Nly5ZGAIrsn7jcuVevXujfv3+gqMj2FS9eHEIY/uc//wnc3BEXF4cPPvgA9913X6DM7t27A9fCfPnll7j11lttfWYYQLYwsZBLCIhp3/iiJRF3ND6N+AuaL0Tg/tg4xB3Yzelgl/iUZpIACVAAZhYDrr8JJL0A/Pvvv1G5cmWsWrUKtWvXTul369atA/f2vvfee/j+++8DU74i43fppZemlKlZs2ZgKllMH2f0CCEp/gSf4F2CvAqOXzFeILD+w3mo1unCUorM+hTfsg2KXn0lIDLlOXJYf6f+Y9L/J+zKls0L7mEfSMBxAn5a+8sEjgczgD/99BOuu+467Nq1K5AJDD7du3fHtm3b8M0332DGjBl4+OGH04g5Ue6WW25BxYoVMXny5Aw/aIMHD85QHFIAOv69xBc4RSA5GfjrL2DJEsRPfAtFVy5z6k3Razd79gsC1SRx6gZbBDsK6OjFrsY3+23tLwWghwWgmNItWbJkysenW7du2LFjB77++utMBeDNN98cyB6++eabzABq/OLhqzQSSEwEVq8OCL7An6VLgQMHwjIg/vbWKHp5ReDcOeDsWevv1H+i8f+F1QMWDosABXTkGW6XCGg/rv2lAPSgAHRyCjj9lyYDKKxhhIWjQSAhAfj55wuC79dfgZMn01qSOzdQvz6SGjREwhuTEHvyqPvWACYlmSNGDRLGJ08l4tjx0wGBHpOchJikc8iBZOTJJv476YJwj0Zs+uWdhgvoJGTD8VEvI9/pE+773EvEEMdvDwrA4CaQ3r17o1+/foHwSExMRLFixS7aBDJ9+nS0a9cuUEYcJ1OmTBluApH4QLGqAQR27Lgg9kSG7/ffATHNm/opUgS47jqgcWPrT506gBCBAPyYCTDAa46Y8PW6PXhs+iqk8z6CKyIndaqDFtXPz5JQQMtltB3xoFmNrp8+F9U6tjbLKAlrKABdKgCPHTuGzZs3B1wvNnq8+uqraNq0KQoXLoxy5coFhN7IkSMxbdo0VKlSBSNGjMCiRYsuOgZmwYIFgWNgRD1xJuDBgwd5DIzEB4pVNRMQmab169MKPiEA0z+XXZZW8F1xRZbrujJaC7Q3Ng57Bo/kETCaXRzp684lJaPx6O+xJ+FUhk0IEVgiNg+W9G+GmOzcJBMp55R6LhbQB1b8hrjlS0MiWDFiPOoO6BGynFsKUAC6VAAKMScEX/rnoYceCgi64EHQYjNH6oOgq1evnlLl1KlT6Nu3b2A9YOqDoMVRMHYfBpBdUiynhMCJE8Dy5RcE308/AUePpm1a7HoVGb1ghk/8XaJE2K/3027AsOG4oMLPWw7i/rdCb+iZ2a0BGlYu4oIe0USnCNjd/c8MoFMeiF67rj8GJnroxNh7FLGxsYFzBQsWLBhNU/huLxIQmzPEJo3gho1Vq4AzZ9L2NH9+oFGjC4Kvfn0gXz4v0mCfwiAwb80u9PxoTcgar7evhda1SocsxwLeJeDX8z85frs0A2jKR5EBZIonPGBH8DiW1ILvzz8v7pg42uj66y8Ivquvts7i40MCqQgwA8hwCIdAZmt/xfpR8ceLNwBx/KYADOczclFZBpAUPn9XFpm81MexiCxfRsexiGULqTdslC/Pc9n8HTm2eh9cA7g34dRFm0CCDYilf+Pvr43ba1w4L9VW4yzkSQIZrf0V4m/Di6NQ7SXrVi0vPRy/KQCl4pkBJIXPX5XFcSzLll2Yzv3ll4yPY7n22guCr2FDoHBhf3GS6K0QPb/+cwj7/z2FYgXy4NqKhX29wSGzXcCpEYvtH2l2A0vwZ1X3E0i99vfKGW8h/7q1gDhNY/Ro93cuXQ84flMASgU1A0gKn7cri924qadzf/vt4uNYhLgTx7AEM3zXXJNyHIu34ajvnRA7Q+ZvSLPrtWRsHgxqVfXCUSfqX2t8i1/+tgdPzFyFpPRnwZy3nLuBjXdh9AycNw9o08b6EbpzJ5A3b/RsceDNHL8pAKXCigEkhc87lcUREOmPY9m+/eL+Va6cVvCJ41jEIbF8MiVgJ6sX1nl3PmPNtYA+c7jK7opjpsR31rZtwNtvA488orL1qLfF8ZsCUCoIGUBS+NxbWdykkf44FjHFm/oRx7HUrn1B8IksX6qrCd3beX2W28nq8by7rP1hdzfwuPtqoUTBPJw+1xfe7njTyy8D/fsDtWoB4hQCD90LzfGbAlDqQ8gAksLnnsrB41iCU7orV2Z8HItYsxec0hXHsYgjWvhERMBuVo8Zrqzx2uVTOF9OHDp+4YghTp9HFLbeq3TwIFCmDHDqlLV+WfyQ9cjD8ZsCUCqUGUBS+MysLI5jEbfMpF6/t2nTxbaKbF7q41hq1OBxLIo8Gk5Wb8Fvu3neXRbc7ewGzqh6htfFKfIvm3EZgS5dgHfeAdq3B2bOdJnxmZvL8ZsCUCqYGUBS+KJWOfW6suJ5YlDvyDbE/PzThR26+/dfbFu1amnX71Wo4KnpkKg5I4MX281aiVssxMMbL7L2XjCbKkql3gsiRF4me0MCDXKDiEmfiijaIo6rErcLifNGxdpmjyxl4fhNASj1qWIASeGLSuX/LfsTX0z+DBX/XIt6Ozeg1p5NuOTM6bS25MoFiONYgtO54qYNHseizV92162JWyzuqFEqcOdtZufdUcRYbstoPWWRfLlw8HhiSL/yuriQiLxfQHwXilmRQYOAwYM90V+O3xSAUoHMAJLCp6eyOL7g/HTu0YU/IN+mjYhJTkrz7sN5CmBlmatQttXNuOLu2wBxHEuePHrs41suIhBOBlDcY5tVhks0znPuLMTpd1TvTTiJ3rPXhoxAXhcXEpH3C3z0EXD//da94mJXsPiR7PKH4zcFoFQIM4Ck8GVaOfVhpHnLlcGV7VoiJqeN686Cx7GkXr8nvqzSPdsKlcCKMlWxvHTVwN9bipQBsmVHidg8WNK/ma8PD3bGo+G1GmrdWkZZPTs7hsOzwvulwxXa3ifCHmZKIDERELcQ7d0LzJhhiUGXPxy/KQClQpgBJIUvw8oZXUe0r2BR7B4yCrV7dUlbJ3gcS1Dw/fQTcORI2jLinL3atbHn6rp46fClAcF3IH/mt2twuku9TyNpMZKsnp0zAyOxxYk6JtgaidB2gkX6Nk1go6OfrnvHkCHW9K9YEiO+c13+cPymAJQKYQaQFL6LKmd2IXlwwnbd0HGocXXFCzt0V6y4+DiWfPmA9MexFCiAcNaVta5VWm3H2FpEBLya1TOpX5EI7YicabOSSWxsmuyfYnv2AOXKAWfPAuIoLLExxMUPx28KQKnwZQBJ4UtTWUz7xhctibij8cjobgyxWzF4NEWaimJHmligHNywUbNmhsexcLpLna90tuS1bJDd8w11MjZFdJnIRqcfXPGuDh2so2Aeftg6GsbFD8dvCkCp8GUASeFLU3n9h/NQrVObkA2eKl0WeVredkHwVaxo6zgWU6e7QnaYBTxDIJzzDWOyZ/hzxzEW0RbaJrNxDLobGxbLbMRh0LlzA7t2AUWKuLEXAZs5flMASgUvA0gKX5rKK0ZOQN3nngjZ4IoR41F3QI+Q5TIqYNp0V0SdYCXXEmAWOnPXkY1LwloclC9OSRBnA44aZV0T59KH4zcFoFToMoCk8EWUAVw/fS6qdWwd8YtNme6KuAOs6FoCXIeauevIxkVhPW0a8Mgj1nrAv/8GxL3nLnw4flMASoUtA0gKX5rK546fwJlClyLP2YwPphUbQfbHxiHuwG57R8JkYVq0p7vUUWNLbiLALBczgG6K10xtFacvlC0LiHuC58wB2oReumNivzl+UwBKxSUDSArfhcrijKl77wU+/zxwNZX4k3ojSHAX8NpxUy8+CkaRCWyGBJwmwHWomRMmG6ejT3H7zz4LjB4NNG8OLFyouHE9zXH8pgCUijQGkBQ+q3Iq8Sdu39j80GMoMPMDFD8an9L43tg47Bk8kuJPAW42EV0CXIeaOX+yiW5shvV2ccB+pUqAOHx/wwbgqqvCqm5CYY7fFIBSccgAksJ3kfjDvHnALbcg4ptAJM1hdRLQQYDrULMWgUPmb8CehFMphUrG5sGgVlXRonpJHe7hO+wSuOsuYO5c4PHHgQkT7NYyphzHbwpAqWBkANnHd5Goa3MzYjrcH5j2Ddy7e1782W+RJUnAvQS4DjVz35GNS+L6u++Am24CxOH74kiY2FiXGG6ZyfGbAlAqYBlA9vBldL3bqRy5rA0fFH/2ILIUCZAACZhEQBwJU60asHEj8PrrwFNPmWRdSFs4flMAhgySrAowgELjy+x6N1FTbPbY8p/euOzNV0M3xBIkQAIkQAJmEZg4EejRA7j8cksIirvXXfJw/KYAlApVBlDW+EJd76byaBcpR7IyCZAACZBA+AT+/RcoXRoQf3/zTWANt1sejt8UgFKxygDKGp/d691kD3eWciIrkwAJkAAJRE6gZ0/gv/8F7rgDmD8/8nY01+T47WEBWKFCBWwTW9XTPY8//jgmTJiAzp0747333kvzr/Xr18eyZctshyEDKGtUOq53s+0sFiQBEiABElBP4M8/gSuusO5k37zZOh7GBQ/Hbw8LwAMHDuDcuXMpYbhu3TrcfPPN+OGHH3DjjTcGBOC+ffswTVxrc/7JlSsXChcubDt0GUDMANoOFhYkARIgAa8SaNHCmgJ+5hnglVdc0UuO3x4WgOkjsFevXliwYAH++usvZMuWLSAAjxw5grniHKMIHwZQ1uACawCLlECxfw8iWwZFuQYwwsBjNRIgARIwicCCBUCrVkChQtaRMJdcYpJ1GdrC8dsnAjAxMRGlSpXC008/jeeeey4QDEIACvEnsn6FChVCkyZNMHz4cBQrVsx24DKAQqPa3+RmFFu8MLDjN7UI5PVuodmxBAmQAAm4goCYbatSBfjnH+Ctt4CuXY03m+O3TwTg7Nmz0aFDB2zfvj0gBMUza9Ys5M+fH+XLl8c///yDF198EWfPnsXKlSuRO3fuDIP39OnTEH+CjwigsmXLIiEhAQULFjQ+4LUbGPxVCOBw3oK49OTRFBN4vZt2b/CFJEACJOAcgbFjgT59gBo1gDVrrDWBBj8UgD4RgLfeemsg0zc/ix1Ke/bsCYjBjz76CG3bts0wbAcPHowhQ4Zc9G8UgBngEtMANWsCBw8CPXvi3JhX8MfsL3By+07kLVcGV7ZriZicOQz+eqBpJEACJEACtgkcOgSUKQOcPAksXgxcf73tqtEoSAHoAwEodgJXqlQJn332GVq3bp1lnFWpUgVdu3ZF//79mQGU+USK6QBxRdCiRUDt2sDPPwOZZFVlXsO6JEACJOBnAsZdm9e9uzUFfO+9wOzZRruGAtAHAlBk7SZPnowdO3YgR47MM04HDx5E6dKlMWXKFDz44IO2ApcBlAmmoUOBgQOtOyJXrbJOiedDAiRAAlEgYJxIUsTg63V7MGT+BuxJOJXSYsnYPBjUqipaVC+p6C1hNvPbb9bMT0wMII5hE4dEG/pw/Pa4AExKSkLFihVx//33Y9SoUSlheOzYMQhhePfdd6NkyZLYunVrYHOIWCO4ceNGFChQwFbIMoAywLRkCdCkCZCUBIhzFm2KaVvAWYgESIAEwiBgpEgKw/7Miop+PTZ9VWBzXeonuOpuUqc60ROB4vtfTAG/+CLw0ksKeutMExy/PS4Av/32W4j1f5s2bcLlqbJQJ0+eRJs2bbB69erAUTBCBDZt2hRDhw4NbOqw+zCA0pESa0Bq1QJ27AA6dQI++MAuSpbzKAGvZl886i5PdctokSRBWnymGo/+Pk3mL70ILBGbB0v6N0NM9ihsxPj4Y6BdO0CcqLF9u7HLfzh+e1wASnzGbFVlAKXClJwM3H03MGcOcNll1tSvzUyqLdgs5DoCXs2+uM4RPjTYeJEk4ZOftxzE/W+FvrFqZrcGaFi5iMSbIqx65gxQsaJ1HuD06UDHjhE25Gw1jt8UgFIRxgBKhW/iRKBHDyBnTmvTxzXXSLFlZXcT8Gr2xd1e8Y/1xoskCVfMW7MLPT9aE7KF19vXQutaUVqDN2yYNQVcvz4QxvWqITulsADHbwpAqXBiAJ3HJxb+XnstIM5IfPVVoHdvKa6s7G4CXs6+uNsz/rHeFSIpQne4Qtzu2weUKwckJgK//grUqxdhb52rxvGbAlAquhhAAI4ftz7cGzcCt98OiMOfDT8AVMrprBySgCsGqJC9YAE3E/ByDAZ/YO1NOHXRJhDhM7HqL6prAIOB88AD1hSw2AgoNgQa9nD8pgCUCkkGEIBu3YCpU4GSJYG1a4G4OCmmrOx+Al7OvrjfO/7ogWtEUoTuCC6xENVT7wQObvmY0KEOLs2XC/v/PYViBfLg2oqF9W8I+eUXoEEDIFcuYOdO48YGjt8UgBF+/Kxqvg+gWbOA9u2tjN/ChUCzZlI8WdkbBLycffGGh/zRi1AiKapHpShwQWabrO6sWRKfr91jxvmAYmnQ8uXAiBHAgAEKeq2uCd+P3yJbnJwstm/yiYSArwNIXPotjnw5ehR4/nlALPpV/PAIEcVANTXn9eyLJox8jQICXt+Jnv478vDx0+gxY7U55wO+/z7w0EOAOF7t77+BLC5jUODusJrw9fh9nhQFYFghk7awbwNIbPMX9zyKFH+jRsCPPyr/YHv9i1si7FxR1evZF1c4gUYGCPjlh6SRm69OnbLEX3w88OmnQNu2xkSlb8fvVB6gAJQIR98G0LPPAqNHA4UKAWvWAOXLS1C8uKrXjhDxywCU3pMU8Uo/FmyMBLIkYOzSCzFDJKaAb7wR+OEHY7zo2/GbAlBNDPoygL79Frj1VgvgJ59Yhz8rfIz8FSvRP7+LIL+KX4mQYVUSiIiAsZuvxM1Q4mDoc+eA338HqlePqH+qK/ly/E4HkRlAiajyXQCJs53ERd/i70cfBSZNkqCXcVVjf8VG0FOvZTIjQMAqJKCcAH9UuPC78557rClgh8aNSILMd+N3BpAoACOJnPN1fBVASUnAbbcBIgMofsGJwz3z5pWgl3FVY3/FhtlTr2Uyw+w+i5OAIwT8nlHPCmqo75xg3YkdauP2GqUc8U+mjS5aBDRtClxyiXVFnFg+FOXHV+N3JqwpACWC0FcBNGYM0K+fJfrEtv5q1STIZV7VKxlAr/TDESezURKIgAAz6qGhffnbHjw+Y1WWBUvG5sGS/s30ngsoDhupUQNYtw4YNw7o1St0Zxwu4avxmwJQfTT5JoDEbt/GjYGzZ4EpU6zDnx16dBwhomMKySuZTIfczGZJICwCobJbxtx+EVav1Bc2+ofn5MnWFPBllwGbNgHZs6sHEEaLvhm/s2DCDGAYAZO+qC8CKCEBqF0bEOf+3XsvIA5/dviqNyePENE1hWT0F7FEzLMqCUSDAD9P9qgb/cPz2DGgTBlAjClffmktKYri44vxOwRfCkCJAPR8AIm0fYcOwEcfWUe9iCNfNK3dcEKo6ZxC0pHJlAhdViUBVxEwWtgYRNJ4ofz009YUsLg3/osvokrO8+O3DboUgDYgZVbE8wH0zjtAly5ATAzwf/8HNGwoQSv8qiqnaqMxheRkJjN8mqxBAu4lYLywMQSt8T88N28GLr/covXnn9Z0cJQez4/fNrhSANqA5EsBuHEjcM01wMmTwMiRgDj82cVPtAYQJzKZTrtBpfB22la27w8Cxgsbg9xg/A/Pli0DU8DxLe7E1htuQd5yZXBlu5aIyZlDK0UKQN4FLBVwng0gcX1P/frAb78BN90EfPNN1BfsSjkKQDSnkNwkqNwoWGVjg/XdQcB4YWMQRpM/x1v+0wuVp7yehta+gkWxe8go1O7VRRtFz47fYRBkBjAMWOmLejaAnngCmDABiIsD1q4FSpaUoGRG1WhlAM3ovT0rdK6RtGcRS5FAWgImCxvTfGXiD8/Vr72Nmr27QuzaFn+CT9L5/1g7bqo2EejZ8TuMQKQADAOWLwTg3LnAXXdZXf3qK6BFCwlC5lTlFFLWvojGGklzooOWuImAicLGTfyiZeu5M2cRX7Qk4o7GI6MDYIQI3B8bh7gDu7VMB1MAcgpY6rPguQDavh2oVQs4fBjo0wcQhz+78MlsgOAUUubOZIbUhYFOk0nARQTWfzgP1Tq1CWnx+ulzUa1j65DlZAt4bvyOAAgzgBFAC1bxVACJQ57FVT1LlgD16ll/58olQSc6VUNNEYX69+hYHf23RnONZPR7TwtIgAScJrBi5ATUfe6JkK9ZMWI86g7oEbKcbAFPjd8RwqAAjBCcqOapABo0CHjpJaBAAWD1aqByZQky0alqdw0bp5Au9g8zgNGJWb6VBPxCgBlA8zxNASjhE88IQHFRd/PmQFIS8OGH1uHPLnu4hk3OYVwjKcePtUmABLImwDWA5kUIBaCETzwhAOPjgZo1gd27gYcfBsThzy58mMGSdxrXSMozZAveIcCZAvW+DO4CFi2n3gjCXcDqWdtpkQLQDqVMyrheAIqr3lq3BubPB664Ali5EsiXT4JI9KpyDZsa9lwjqYYjW3E3AX4OnPOfEIGlBj2L4kfjU16yNzYOewaP1HYEjHix68dvBS6iAJSA6PoA+u9/gZ49rc0ev/xi7QB26cMMoDrHMfOhjiVbch8Bu2uJ3dczcywW08HbRoxDpcH9kFgkDjF79Bz9kpqA68dvBe70rAAcPHgwhgwZkgZR8eLFsXfv3sD/l5ycHPj3KVOm4PDhw6hfvz4mTKlqR6EAACAASURBVJiAatWq2cbq6gASGz0aNAASEwEhBJ980na/TSzINWwmeoU2kYC7CESylpg/mCL08bZtQIUKQO7c1pWj2VIfDR1hm2FUc/X4HUY/syrqaQH4ySefYOHChSn9j4mJQZy43QLA6NGjMXz4cLz77ru4/PLLMWzYMCxevBibNm1CAbET1sbj2gA6dgyoUwf46y/gzjsBcfiz5g+fDbxhF+EatrCRsQIJkEAqAuHOJHCqWCJ8xJWjefNaDYizZwsVkmgs/KquHb/D72qmNTwtAOfOnYs1a9Zc1HmR/StVqhR69eqF/v37B/799OnTEBlCIQz/85//2ELs2gDq3Bl47z2gTBlA8ClSxFZ/3VCIX8hu8BJtJAEzCYSzljh3jux4bPoqJKfrSjCPNalTHbSo7v5rNB31lBB9CQnAxo3AlVc6+qr0jbt2/FZIydMCcMyYMYiNjUXu3LkDU7wjRoxApUqV8Pfff6Ny5cpYtWoVateunYKzdevWKFSoEN4T4sjG48oAmj4deOABIHt24IcfgBtusNFTdxXhlIy7/EVrScAUAnYzgB92rY8+H6/FnoRTGZouRGCJ2DxY0r8ZYrLrndo0haUtO4To27TJGotuvNFWFVWFXDl+q+r8+XY8KwC/+uornDhxIjC9u2/fvsAU7x9//IH169cHpnmvu+467Nq1K5AJDD7du3fHtm3b8M0332SIWWQJxZ/gIwKobNmySEhIQMGCBRW7xoHmxJSvmPoVU8Di4OfBgx14CZskARIgAXcSsLuW+JV7aqLj27+E7OTMbg3QsLJ3ZlhCdjjcAkL0/fgjMHMm0L59uLWlylMA+ugu4OPHjweyfv369UODBg0CAnD37t0oWfJCir5bt27YsWMHvv766wwDK6ONJaKgKwSg2OzRqJF11IvI+n33HZAjh9QHiJVJgARIwGsE7KwlPn02CT0/unh5UXoWr7evhda1SnsNkbr+CNE3axbw2mvWiRQaHwpAHwlAEVc333wzLrvsMvTt2zeiKWC3ZQDFVvs/Zn+Bk9t3osL/fYuiX30OFC4MrF1rrf/jQwIkQAIkcBGBUGuJ7U4Vp88AcnlKOtRC9IlTKJ59Fhg5UmskUgD6SAAK8SYygGKa98UXXwxM/fbu3TuQERRPYmIiihUr5plNIBkdtin6+fcjPVDp7fFaP2h8GQmQAAm4jUBWYs3uVHHqNYChRKXb+CixV4i+554DxMbEadOUNGm3EQpADwvAPn36oFWrVihXrhz2798fWAP4448/4vfff0f58uUDQm/kyJGYNm0aqlSpEtggsmjRIk8cA5PZdTtit5r4s3bcVK0nrtv9QLIcCZAACbiFgJ2p4uAuYB4unYlXheh75BGgRQvgq6+0up4C0MMCsH379oFz/eLj4wNn/4l1f0OHDkXVqlUDQRY8CHry5MlpDoKuXr267SA0MYCiceE2pzVshwwLkgAJeIiAnaxeJIdLewhR1l0Rou/2261bqMTlBBofE8dvjd0PvMqzu4B1gDQxgNZ/OA/VOrUJ2f310+eiWsfWIcuFKmDnCzBUG27+d4pfN3uPtpOAPIFQ3wGRrheUt8wFLQjRJ06mEJsxd+/WarCJ47dWABSAcrhNDKAVIyeg7nNPhOzYihHjUXdAj5Dlsirg92kNv4tfqeBhZRLwCYFwDpf23Y5hIfpKlwZiYsRtDNbfmh4Tx29NXU95DTOAEsRNDCBdGUC/T2v4XfxKfGxYNUwCoTJMYTbH4poJMAOYBfAzZ6y7gJOTgX37gGLFtHnHxPFbW+fPv4gCUIK4iQGkaw2gn7/U/C5+JT4yrBomAWaZwwRmYPFIdgwb2A3nTBKi78AB63iyGjWce0+6lk0cv7V1ngJQHrWpASR2Adfq3RXpLyBKOt9lFbuA/Tyt4WfxK/+pYQt2CTDLbJeU+eXC2TFsfm8UWyhE3++/A+IGrltuUdx45s2ZOn5rA8A1gHKojQ2go0eRVKQIsp89m6aDe2PjsGfwSCVHwPhZBPlZ/Mp9YljbLgFmme2Sck+5zLK57euVQ4Wil6BYgTy4tmJh/90dLETf//4HvP++dU+9psfY8VtT/8VrOAUsAdvYABL3KnbogOQql2PDwNE4uWMX8pYrgyvbtURMTjXXv/l5WsPP4lfi48KqYRBgjIUBy0VFU6/n3Bp/HDN/3Y69Ry/cL18yNg8GtaqK4PmBLupa5KYK0Td9OvDyy0DfvpG3E2ZNY8fvMPshU5wCUIKesQF0993AZ59ZJ6wPHy7Rw6yr+nVaw8/i17FgYsNpCDDL7O2A4PR+Kv8K0ffKK8DTTwNjx2pzvLHjtzYCzABKoTYygI4fB+LigJMngVWrgNq1pfoYqrJfF6n7VfyGigf+uxoCzACq4WhiK5zeT+cVIfr69AnMWuHDD7W5zMjxW1vvrRcxAygB3MgA+uQT4N57gUqVgM2bgWzpt4JIdDiTqn49psKv4ld9BLHF9ASYZfZuTFDcp/OtEH2dOgHNmgHffafN8UaO39p6TwEojdrIAGrfHpg1C+jXDxg9WrqPbCBrAn4Vv4wL5wmEyjL3uulyf28ecN4FjryB0/vpsArRd9NNQLVqwLp1jjDPqFEjx29tvacAlEZtXACJaV8x/SumgX/9FahXT7qPbIAESCB6BDLKMl96SU4kAzhy4kyKYX7aPOD2H13MAKb7PAnRd/XVQJEiQHy8tg+bceO3tp5feBGngCWgGxdAc+cCd90FlCsHbN2qZfpXAh+rkgAJ2CCQfufouIV/XVQruNBjUqc6nt5B6oVlF5zeTxe+QvSJxIV4xHVwuXLZ+FTIFzFu/JbvUtgtUACGjexCBeMCSKyjEOspNO+mkkDIqiRAAjYJ+H3zgJd2zoaa3ve6kE8T8klJ1nVw4tzaHTuAMmVsfiLkihk3fst1J6LaFIARYbMqGRVA4peT+BX177/ATz8BDRtK9IxVSYAETCPg56lDL4pfL2QzlX1GhOjbtQtYvhyoW1dZs1k1ZNT4raXHF7+EAlACvFEBtGAB0KoVULo0sH07kD27RM9YlQRIwDQCft484FXx6/b1jMo+I0L0rVwJiHGsZUtlzVIAZo2SAlAi1IwSgJ07A++9Bzz1FPD66xK9YlUSIAETCXhVBNlh7Wfxa4eP68sI0ffll8DUqUCXLlq6Y9T4raXHzAAqxWxMACUmAsWLA0eOAIsXA9dfr7SfbIwESCD6BPy8ecDP4jf6kafBAiH63nkHGDYMeP55DS80bAmXlh5TACrFbIwA/Ppr4LbbgBIlgJ07gZgYpf1kYyRAAmYQ8OvmAT+LXzMiz2ErhOgbMQJ44gngjTccfpnVvDHjt5beZvwSTgFLwDcmgLp2Bd5+G3j8cWDCBIkesSoJkIDpBPy6ecCv4tf0eFRinxB9YvnSPfcAH3+spMlQjRgzfocy1MF/pwCUgGtEAJ05Y2X+Dh0Cvv8eaNpUokesSgIk4AYCft084Ffx64aYlLJRiL527YDGjYH/+z+ppuxWNmL8tmusQ+UoACXAGhFACxcCN99sHQGzezeQI4dEj1iVBEiABMwm4Ffxa7ZXJK0Ta9ebNAGqVAH+/FOyMXvVjRi/7ZnqWCkKQAm0RgTQo48CkycD3btbf/MhARIgARIgATcREKLviiuAAgXE4jwtlhsxfmvpaeYvoQCUcEDUA+jcOaBkSeDAAeDbb61MIB8SIAESIAEScBMBIfpiYy2Ljx0D8uVz3Pqoj9+O9zD0CygAQzPKtETUA2jRImvNX+HCwN69QM6cEr1hVRIgARIgARKIAoHkZEv0nTwJbNkCVKrkuBFRH78d72HoF1AAhmZkrgAUW+bFrt9HHrF2AfMhARIgARIgATcSEKLvn3+ApUuBRo0c7wEFIEABKBFmUQ0gcYG2uPZNZP7ECeriHEA+JEACJEACJOBGAuL++mXLgM8+A+66y/EeRHX8drx39l5AAWiPU4alohpAS5ZYN36IdRP79wO5ckn0hFVJgARIgARIIIoEhOibOxeYOBF47DHHDYnq+O147+y9gALQHifzBGCvXtadvw8+aN0B7MKHxzm40Gk0mQRIgAScICBE35tvAgMHAkOGOPGGNG1SAHp4CnjkyJH47LPP8McffyBv3rxo1KgRRo8ejSvEVvPzT+fOnfFeOvFUv359LBNpaBtP1AJITP+WL29d+zZvHnDnnTasNasID3Q1yx+0hgRIwDkC/LFrg60QfYMHazvSLGrjtw0Uuop4NgPYokULtG/fHvXq1cPZs2fx/PPP4/fff8eGDRuQ7/wWcyEA9+3bh2nTpqXwzpUrFwqLXbU2nqgFkBCoYr1E/vzWETB58tiw1pwiwSudktOZlO38/57UqQ5aVC9pjsG0hARIgAQiJMAfuzbBiXNsxbm2IqEhEhsOP1Ebvx3uVzjNe1YApodw4MABFCtWDD/++CNuuOGGwD8LAXjkyBHMFesOIniiFkB9+gBjxwL33w/MmBGB5dGrErzUfU/CqQyNECKwRGweLOnfDDHZg5Iwevb65c3MUPjF0+ynTgL8sRsGbSH62rQB6te3NoM4/ERt/Ha4X+E07xsBuHnzZlSpUiWQBaxevXqKABTiT2T9ChUqhCZNmmD48OEBoZjRc/r0aYg/wUcEUNmyZZGQkICCBQuGwz3ysuK8pIoVgW3bgE8/Bdq2jbytKNT8ectB3P9W6A/3zG4N0LBykShY6L9XMkPhP5+zx84T0P1j1/U/4oIzW2J509atjjuIAtDDawBTR09ycjJat26Nw4cP4/9SXTQ9a9Ys5M+fH+XLl8c///yDF198MTBdvHLlSuTOnfuiABw8eDCGZLA4VasAXLECqFcPuOQSa/pX/O2iZ96aXej50ZqQFr/evhZa1yodshwLyBFghkKOH2uTQGYEdP7Y9cSPOCH6RHJDjL3iQOhszs4AUQD6RAD26NEDX3zxBZYsWYIyZcpk+o21Z8+egBj86KOP0DaDzJoRGcBnnwVGjwbuvReYPdt13746vxRdB0ezwbozFJq7x9eRQFQJ6Pqx65kfcUL0BRMahw8DhQo56j8KQB8IwCeffDKwxm/x4sWoKH5dhHjENHHXrl3Rv3//UEWhPYDE9G+VKtZVObNmAe3ahbTRtAJB0bE34RTSbwIRtnINoD6PUYzrY803+Y+Ajs+X537ECdGXkABs3AhceaWjQaN9/Ha0N5E17tk1gGLaV4i/OXPmYNGiRYH1f6GegwcPonTp0pgyZQoeFOfrhXi0B9CaNUDt2tauXzH9K3YBu/AJ/mIVpqcWgdwFrNeZQ+evx9tLQ6+14XS8Xr/wbe4jkNH6O9GLxqO/h5M/dnWITK3eEKJv0yZA3HPfpImjr9Y+fjvam8ga96wAfPzxxzFjxgzMmzcvzdl/sbGxgXMBjx07BrGm7+6770bJkiWxdetWPPfcc9i+fTs2btyIAgUKhCSqPYBeeAEYPty6Jkdcl+PixxNrVlzMXwxY9Yb/D4eOnwnZC27ICYmIBXxMIKvvMoHlsemrAnSc+LGra5pZm3uF6Fu8GPjoI+C++xx9rfbx29HeRNa4ZwVgtkwWkIoz/8TxLydPnkSbNm2wevXqwFEwQgQ2bdoUQ4cODezstfNoDSAx/St+Hf35J/Dhh0CHDnZMNLpM4tkkfPDzVmw7dALlC1+CBxpWQK4c2Y222SvG2c0cFMmXC78+fxOP5PGK49kPpQTsrL8TLxwyfwNSH31VMjYPBrWqKn3eqd3PsYk/4jLctXx/e2tt+2uvAT17KvVV+sa0jt+O9iTyxj0rACNHYr+m1gBatw64+mrrzl8x/avr2Bn7OMIqyQxgWLiUF7abOXjkugoY2Kqa8vezQRJwO4Fw1t+Jvv76zyHs//cUihXIg2srFlbyo8qta6oz+/6fuX4mKnz4NiA2O44c6WiIaB2/He1J5I1TAEbOTu8mEHFFjjiCplUr4PPPJayOflU7v5p5E4izfnJz5sBZMmydBOwRMOUz5LY11Vl9/z/282z0W/y+uKUBSHVDlz2PhFeKAtAHu4DDC4nwSmsNIHF49fr1gLi72MYGlfB6oq90OL+aeROIc34JlTkQbxbTVLyRxTkfsGV3E7CbRdexicotMyqhvv/v/e1/GPPV60hucRuyffWlowGidfx2tCeRN84MYOTs9GUAxZb4qlWBnDmBffuASy+VsDq6VU351RxdCma8XWXmwPW3EJjhElrhIgKmfZe54TMYitmNW5bj3U+G4FjVq5F//W+ORgMFIDOAUgGmLYCGDQNefBG47TbgS2d/FUkBsVHZpF/NNsz1fBEVmQMVbXgeNDvoOQKhsug80/Ril4f6/q+2dzO+eK8XThUtjjwH9joaM9rGb0d7Idc4M4AS/LQFUK1awNq1wNtvA488ImFx9KuG+gUYtNDEXWvRp+eMBTKZA67ndMYnbNUdBFRm0d3RYzkrQ33/F/v3IH6d+BCSY2KQ7fRpICZG7oVZ1NY2fjvWA/mGKQAlGGoJoL/+Ai6/3PogiOnfIkUkLI5+Vf5qjr4PVFkQaj0PMyCqSJvVjswPBrN6osYaZsDtcwz1/Z/z3FlsGnsXsotjz8R4V6yY/cbDLKll/A7TJt3FKQAliGsJoFGjgAEDgJtvBr79VsJac6ryV7M5vpCxJNSveWZzZeiaWZdiJ2O/UBTbj9dQ3/9/vPUQch86CPz2m3X0mUOPlvHbIdtVNUsBKEFSSwDVrQusXAlMngx07y5hrVlVOZCY5Y9IrAm1nifYpo5dkJHYzzrhEchqul/cciHOjLy5agllZ9yFZx1Lu4lAlt//998CiHNvRcJDJD4cerSM3w7ZrqpZCkAJko4H0NatQMWKQPbswJ49jqbDJTBEXJW/miNGZ0RFUzKAjCPnwyHUdH9qC1TdcuF8r/iGaBLI9HMrRN/ChcD77wMPPOCYiY6P345Zrq5hCkAJlo4H0NixQJ8+QNOmwPffS1jqvaoc9KPv01DreXSsAWQmWU8c2BX7whrhd/FM6lRH+qozPb3jW4wiIETf9OnAyy8Dffs6Zprj47djlqtrmAJQgqXjAdSwIbBsGTBhAvD44xKWeqsqB31z/BlqPY+TIoA7kPXFgd3p/qBFOsS/vt7zTVoJCNH3yivA008DIgni0OP4+O2Q3SqbpQCUoOlUAJ07cxabJ72LK3p2Q3K2bEjaug0x5cpKWOqdqhz0zfNlNAR5qClJChC1cRJOBjD1m3mck1o/+KK14MxXx45WJtChx6nx2yFzHWmWAlACqxMBtPq1t1Fq0LMofjQ+xbJ9BYti95BRqN2ri4S17q/KQd9cH+qekrcrSChA1MRMqOn+zN7CDUBq+PuqFSH6xDRw8+bWWkCHHifGb4dMdaxZCkAJtKoDSIi/mr27BizKnsqupPP/vXbcVF+LQA76EsHqsap2pyQpQNQ5PrPp/qzeQAGujr9vWhKiT2wEqVbN2g3s0KN6/HbITEebpQCUwKsygMS0b3zRkog7Gp9G/AXNEyJwf2wc4g7sRkzOHBJWu7cqB333+k615fwxoJqovfYymu7PqCan4O3xZKkMCAjRJ87/E5cexF+YCVPNSuX4rdo2Xe1RAEqQVhlA6z+ch2qd2oS0Zv30uajWsXXIcl4swEHfi16NrE+hpiQpQCLjaqdWcLp/4Ya9eHvp1ouqcBewHYoskykBIfri4qx/TkwEcuZ0BJbK8dsRAzU0SgEoAVllAK0YOQF1n3sipDUrRoxH3QE9QpbzYgE3D/q618h50f/p+xTNHch+4Gunj9HYAGTHLpZxMYGkJCB3buDsWWDnTqB0aUc6o3L8dsRADY1SAEpAVhlAzADac4QbB30OkqF9G6lAJtvQbJ0uEanvnLaL7buYgBB9u3cDK1YA11zjSEdUjt+OGKihUQpACcgqA4hrAO07wk2DPo+tCe1XWX9SgIRmzBIk4CoCQvStWgUsWAC0bOmI6SrHb0cM1NAoBaAEZNUBxF3A9p3hhkGfx9aE9icFcmhGLEECviMgRN+XXwJTpwJdnDn+TPX47UYfUQBKeM2JABIisMJzT+PSk0dTLNsbG4c9g0f6+ggYCTdFrSo3rWSNngI5aqHJF5OA2QSE6HvnHWDYMOD55x2x1Ynx2xFDHWyUAlACrlMBdO6HRYhp1hSnihbDltem4Mp2LX179IuEe6JelcfWZO0CCuSohygNIAEzCQjRN2IE8OSTwH//64iNTo3fjhjrUKMUgBJgHQug1auBOnWAUqWAXbskLGTVaBKgwMmaPgVyNKOT7yYBgwkI0dezJ3DvvcDs2Y4Y6tj47Yi1zjRKASjB1bEA+usv4PLLgYIFgYQECQtZNZoE3HxsjQ5uFMg6KPMdJOBCAkL03XcfcP31wOLFjnTAsfHbEWudaZQCUIKrYwEktr+LbfDZs1tnIWULHq0qYSyrRoWAG4+t0QWKAlkXab6HBFxGQIi+Jk2AKlWAP/90xHjHxm9HrHWmUQpACa6OBdDRo0BsrGXZiRNA3rwSVrJqagLR2D0se8yJlz1Igexl77JvJBAhASH6rrgCKFAAEOOhA49j47cDtjrVJAWgBFnHAujcOSDH+ft+9++/cC2OhK2sCkRTiEVDeLrF59H0i1sY0U4S8BWB1EmQ48eBSy5R3n3Hxm/lljrXoO8F4MSJEzFmzBjs2bMH1apVw2uvvYbrxboDG4+jASQC/uRJ4O+/gYoVbVjDIlkR4HlzZscHBbLZ/qF1JKCVQHKyJfpOnXJsDHR0/NYKK/KX+VoAzpo1Cw888ACECLzuuuswefJkTJ06FRs2bEC5cuVCUnU0gIoVAw4cAH7/HahePaQtLJA5AZ43x+ggARIgAZcREImPrVuBn34CGjZUbryj47dya51p0NcCsH79+qhTpw4mTZqUQveqq65CmzZtMHLkyJDEHQ2gSpWAf/4Bfv4ZaNAgpC0skDkB7jZldJAACZCAywgI0bdsGfDZZ8Bddyk33tHxW7m1zjToWwGYmJiISy65BB9//DHuShVcPXv2xJo1a/Djjz9eRPz06dMQf4KPCKCyZcsiISEBBcWRLSqfGjWs7N///gfcdJPKln3XFs+b853L2WESIAG3ExDj8ty5wMSJwGOPKe8NBSDgWwG4e/dulC5dGkuXLkWjRo1SgmvEiBF47733sGnTposCbvDgwRgyZMhF/78jAlDYJLJ/c+YAbdooD34/NcgMoJ+87c2+co2kN/3KXmVBQIi+N98EBg0CBg9WjooCkAIQP/30ExqmWl8wfPhwfPDBB/jjjz+imwG85RYr+/fBB0CnTsqD308N8rw5P3nbe33lLmnv+ZQ9skFAiD6RcPnPfywhqPihAPSxAIxkCjh9/DkaQG3bWtk/sT7x0UcVh77/muN5c/7zuRd6zN3rXvAi+xARASH6RBawdWtrKljx4+j4rdhWp5rz7RSwACo2gVxzzTWBXcDBp2rVqmjdunX0N4E8+KCV/RszBujTxyn/O9quadNWzKQ46m42rpgAd68rBsrm3EVAiD6xDrB+fWsziOKHAtDHGUARS8FjYN58883ANPCUKVPw1ltvYf369ShfvnzIcHM0gB5/3Mr+ObT+IWTnJAuYKrZME6WSmFndwwS4dtXDznVh1+x8d9opY7vrQvSJ5VliLBbHwSh+HB2/FdvqVHO+zgAKqCL79/LLLwcOgq5evTrGjRuHG264wRZvRwOoXz8r+/fMM8Arr9iyx5RCnLYyxRO0w80EuHvdzd7zlu12ftDbKRMWFSH6xFmAuXNblyJkyxZW9VCFHR2/Q73ckH/3vQCU8YOjAfTSS1b2z6EFsDL9zqoup62cIst2/UaAGUC/edzM/tr5QS8sf2z6KiSn60JQsk3qVActqpcMq4Pnjv6LmFjreLWNUz7E5Z3bISbn+StSw2op48KOjt8K7NPRBAWgBGVHA+jVV63sX8eOwPTpElbqrcpBSy9vvk2egNJpK3lzUlrg7nWFMNlURATs/qBPTk7G3qMXzshN/TIhAkvE5sGS/s0Qk91eFm/1a2+j1KBnUfxofEpT+woWxe4ho1C7V5eI+pK+kqPjtxILnW+EAlCCsaMBNGWKlf1zaAeURLezrMppK6fIsl0nCCiftlJsJHevKwbK5sIiYPcHvZ1GZ3ZrgIaVi4QsKsRfzd5dA+WypyqddP6/146bqkQEOjp+h+ylGQUoACX84GgAzZhhZf+aNwcWLpSwUm9Vu18Ydr8M9FrPt/mJgJ2prXCnrZzgZ7pIdaLPbNMMAnZ/0Nux9vX2tdC6Vuksi547cxbxRUsi7mh8GvEXrCRE4P7YOMQd2C09Hezo+G0HiAFlKAAlnOBoAM2bZ90A4tAWeIluZ/0BTkpG49HfY2/CqYvWg4iKkUwHOGUr2/UvAbtTW+FMWzlJ09Rpaif7zLajT8DuD3o7ltr50b/+w3mo1in0zVfrp89FtY6t7bw20zKOjt9SlumrTAEowdrRAPruO+sO4GrVgHXrJKzUX5XTVvqZ843hEbA7sNkZtMJ7M0uTgHsI2F2HKtYA7jt6WvpH/4qRE1D3uSdCAloxYjzqDugRslxWBRwdv6Us01eZAlCCtaMB9MsvQIMGjp2BJNFtW1U5bWULEwtFiYDdqS0701ZR6gJfSwJaCNj5QS8MEbuAxZN6J3C4u4CZAdTi0pSXUABK8HZUAK5fD1SvDhQpAsRf2AklYa72qpy20o6cL7RJgBnAi0Hx82ozeHxYzM4PejtlQqHjGsBQhNT+OwWgBE9HBeC2bUCFCkCePNYhmHxIgASUEbA7tWXKGkBlHc+kIRWDt9M2mti+n0Sznb7aKRPKj9wFHIqQun+nAJRg6agAPHgQKFrUsu7MGSCHugMwJbqstaqKLxOtBvNlriJgZ2rLhF3ATkN1y25opzmE2z5Fc7jE7JfP6BzAvbFx2DN4pJIjYIQljo7f9rsa1ZIUgBL4HQ2g06et7J94jhwBYmMlLHVfVX65xuDGywAAIABJREFUus9nbrTY73Hmtt3QpsQYRbPznhDTwaeq10C+Pzdi+1P9UPqV4dJHv6S22tHx23k8St5AASiB0dEASk4GcuUCzp4Fdu4ESmd9fpJEN4yryi9X41ziaYP8nGnmWsjwQ5uiOXxmEdeoVw9YsQL44gvg9tsjbiajio6O30otda4xCkAJto4H0KWXWtm/P/4ArrhCwlL3VOWXq3t8RUvdT4C7ocP3IUVz+MwiriE2QooNkeJYtGbNIm6GAjBjdBSAEiHluAAsW9bK/olfQNdcI2Gpe6ryy9U9vvKypX7JCvLzFn4UUzSHzyziGpddBmzZAixdCjRqFHEzFIAUgEqDRzTmuAC86ior+7doEdCkiXL7TWww2l+uqgd+1e2Z6DOv2eSndYHcDR1+9FI0h88s4hpi6dPu3cCqVUDt2hE3QwFIAag0eLQIwOD6hwULgJYtldtvYoPR/HJVPfCrbs9Ef3nNJj+uP/XqbminfnxRNGv81ItzcA8dAjZsAERCROHjeAJHoa1ONcUpYAmyjgdQ06ZW9u+jj4D77pOw1D1Vo/XlqnrgV92eezzoXkv9vP7Uaz9WnO6PV0WzcZ/efPmAEyeAv/8GKlZUap7j47dSa51pjAJQgqvjAdSqFSCyf1OnAl26SFjqrqq6v1xVD/yq23OX99xrbTSzzyZQcypjprtvun58OS0ydXMz7n3iJIyYGED8vWcPUKKEUhMdH7+VWutMYxSAElwdD6D777eyf6+9BvTsKWGp+6rq/HJVPfCrbs993nOnxdFef+pOamZZrfvHl1dEs1lePG9NYiKQO7f1Pw4fBgoVUmqm4+O3UmudaYwCUIKr4wHUrZuV/Rs2DHj+eQlL3VlV15er6oFfdXvu9J77rKZwd5/P0ltMH7rfhyk9OHr0wgUI4jrU4MUIirro+PityE4nm6EAlKDreAD17m1l/559Fhg5UsJSVs2KgOpBQ3V79J4eAtFaf6qnd/54C398ecjP+/ZdmPZNSgKyZVPaOcfHb6XWOtMYBaAEV8cD6IUXgOHDgSeeAN54Q8JSVs2KgOqBX3V79J4+ArrXn+rrmT/exB9fF/ysawbFscjatg2oUMHK/IkMoOLH8fFbsb1ONEcBKEHV8QAaNQoYMADo3BmYNk3CUlYNRUD1wK+6vVD289/VEdC5/lSd1WxJEOCPLysOPBHD4gxccfSLuBFLHAWj+HF8/FZsrxPNUQBKUHU8gMaPB558ErjnHuDjjyUsZVU7BFR/aapuz04fWEYNAddnT9RgcGUrfv/xpWsXtOPBsWaNdfhzyZLWYdCKH8fHb8X2OtEcBaAEVccD6N13gYcfBlq0AL76SsJSVrVLQPXAr7o9u/1gORLwMwG//vjSvQva0Rhbtgxo2NA6/0+cA6j4cXz8VmyvE81RAEpQdTyAPvkEuPde4PrrgcWLJSxlVRIgARLwFwE//vjy1BrIH34AmjUDqlYF1q9XHryOj9/KLVbfIAWgBFPHA+jrr4HbbrPS4OIuRD4kQAIkQAIkkAkBT+2CFrNet98O1KkDrFyp3OeOj9/KLVbfIAWgBFPHA2jJEiv7V6UK8OefEpayKgmQAAmQgNcJeCoDOGcO0LYt0KgRsHSpctc5Pn4rt1h9g54TgFu3bsXQoUPx/fffY+/evShVqhQ6deqE559/Hrly5UohmC2DM4UmTZqERx991DZlxwPI4UWwtjvKgiRAAiRAAsYT8NQu6BkzgI4dgebNgYULlbN3fPxWbrH6Bj0nAL/++mvMmjUL999/Py677DKsW7cO3bp1wwMPPIBXXnkljQCcNm0aWogNFuef2NhY5M2b1zZlxwNo82Yr+1egACBORedDAiRAAiRAAlkQ8Mwu6HfeAbp0AVq2BBYsUO5zx8dv5Rarb9BzAjAjRGPGjIHI7v2daieRyADOmTMHbdq0iZiq4wG0d6+1BV5kK8+dU34SesQdZ0USIAESIAFjCXhiF/SECdYlCA4dg+b4+G1sdFwwzBcC8IUXXoDIDK5YsSJNBrB06dI4deoUKlasiC5duqB79+7Inj27bbc5HkDHjlnZP/EcPw5ccolt21iQBEiABEjAvwRcvwt67FigTx+gUyfggw+UO9Lx8Vu5xeob9LwA3LJlC+rUqYOxY8eia9euKQSHDRuG5s2bB6Z8v/vuOwwcOBADBgyAEIuZPadPn4b4E3xEAJUtWxYJCQkoWLCgeu+I+w9jYqx2xb2IxYqpfwdbJAESIAESIAHTCIhrUMV4LMbtt95Sbh0FIOAaATh48GAMGTIkyyBYvnw56tatm1Jm9+7daNKkSeDP1KlTs6wrBOJLL70UEHOZPZnZ4JgAFIbkz29l/7ZsASpVUv4hYIMkQAIkQAIkYBwBIf6ECBS3Yf33v8rNowB0kQCMj4+H+JPVU6FCBeQRF0dD3ByzG02bNkX9+vXx7rvvhpzaXbp0KRo3bhzYOVy8ePEMX6M9AyisKFHCyv6tXQvUqKH8Q8AGSYAESIAESMA4AmL6V0wD9+0LvPyycvMoAF0kAMPx/q5duwLi75prrsH06dMRE5xGzaKR8ePHo2/fvjhy5Ahy585t63VaAuiyy6zsnzgHSZyHxMc4Aq5fa2McURpEAiTgewJiA4jYCPLii8BLLynHoWX8Vm612gZdMwVst9vBad9y5crh/fffTyP+SohsGoD58+cHMn0NGzYMrAH84Ycf8Mwzz6Bz5854/fXX7b4KWgKoVi0r+/fNN8Att9i2jQX1EPDEbjs9qPgWEiABErBPQBwBI46CGTECGDDAfj2bJbWM3zZtiVYxzwlAMd378MMPZ8gzOTk58P+LHcFiw8fmzZuRlJSESpUqBTaI9OjRAzly5LDtCy0B1Lixlf379FPrVHQ+xhAInrdlRdWFJ9v5/5zUqQ5aVC9pjL00hARIgARcQ0AcAi0Og371VaB3b+Vmaxm/lVuttkHPCUC1eLJuTUsAiYOqRfbvvfeABx/U2T2+KwsCwRP39yScyrCUEIElYvNgSf9miMkelIRESgIkQAIkYIuASHiI6+AmTQLCuKHLVtsQdyschbj8wdFNnHaNiVI5CkAJ8FoC6O67gc8+s9ZCPP64hLWsqpKAp+7cVAmGbZEACZCACgK33w589RUwbRrQubOKFtO0oWX8Vm612gYpACV4agmghx4C3n8fGD0a6NdPwlpWVUlg3ppd6PnRmpBNvt6+FlrXKh2yHAuQAAmQAAmkItCsGfDDD8DMmUD79srRaBm/lVuttkEKQAmeWgKoRw9g4kTHdkJJdN/XVZkB9LX72XkSIAGnCTRsCCxbBsydC7RurfxtWsZv5VarbZACUIKnlgDq3986A+npp60zkfgYQSC4BnBvwimk3wQiDOQaQCPcpNUIHgekFTdf5mEC586cRWKVy5F32z/Y2m8Qyg57ATE57W/QtINGy/htx5AolqEAlICvJYCGDgUGDgS6dwcmT5awllVVEwjuAhbtphaB3AWsmrT57fE4IPN9RAvdQWD1a2+j1KBnUfzohYsf9hUsit1DRqF2ry7KOqFl/FZmrTMNUQBKcNUSQOPGWdm/Dh2ADz+UsJZVnSDAgd8Jqu5qk8cBuctftNZcAkL81ezdNWBg9lRmJp3/77XjpioTgVrGb3NRByyjAJRwkJYAEpdgi+zfnXcC8+ZJWMuqThHg1J9TZM1vl8cBme8jWugOAmLaN75oScQdjU8j/oLWCxG4PzYOcQd2K5kO1jJ+G46eAlDCQVoCSOyAEtk/sSPqu+8krGVVEiAB1QS8vhmIP25URwzby4zA+g/noVqnNiEBrZ8+F9U6ym8K0TJ+h+xNdAtQAErw1xJA8+db2b9rrwV++UXCWlYlARJQTcDLxwFxeYPqaGF7WRFYMXIC6j73REhIK0aMR90BPUKWC1VAy/gdyogo/zsFoIQDtASQOAdJZP+qVgXWr5ewllVJgARUE/BqBpDrGlVHCtsLRYAZwFCE1P87BaAEUy0CcPlyK/tXrhywbZuEtaxKAiSgmoAXjwPiukbVUcL27BAQawAPFimOuH8PBY7RSv9wDaAdiuGVoQAMj1ea0loE4MaNVvavcGHg4EEJa1mVBEjACQJeOw7Iq1lNJ3zPNi0CqtaKHmjcDHFLfwgcq5VaBHIXsDORRgEowVWLANyxw8r+5coFnD4tYS2rkgAJOEXAS+vlvLyu0Sn/+7ndjGK/UN6cePi6inii2WWIyZ5RPi8DYj/+CNx4Y+AfDl9SEJeeOJpSaG9sHPYMHqnsCBjRsJbx2/DAoACUcJCWADp82Mr+iUcIQCEE+ZAACRhHQFUWJNodYwYw2h5wz/szWysa7EGhS3JiVNur0aJ6yaw7deIEUKMGsGVL4Nizc+Mn4I/ZX+Dk9p3IW64MrmzXUsnRL6mN0DJ+G+5KCkAJB2kJoMREIHduy8pDh4BLL5Ww2LmqXhn8nCMUectkGzk71gyfgFvWNfJzEb5vVdYItVY09bve7FQnaxH4zDPAq68CZcoA69YBsbEqTc2wLS3jt+O9kHsBBaAEP20BJASgEILbtwNly0pY7ExVL01/OUMo8lbJNnJ2rBk5AdPXNfJzEblvVdW0mykW7ysZmwdL+jfLeDp42TKgUSMgORn44gvg9ttVmZhlO9rGby29iewlFICRcQvU0hZARYpY2b8NG4CrrpKwWH1VHhehnmmwRbJ1ji1bDk3AVJHFz0Vo3+koYXetaNCWmd0aoGHlImlNO3UKqFMHEJsdH3wQeO89HabrHb+19Sj8F1EAhs8spYY2ASg2gYjNIL/+CtSrJ2Gx2qqhpgDE0t8SWf3yU2uOp1ojW0+507WdMW2alZ8Lc0IpnAygsPr19rXQulbptB14/nlgxAigeHErwRFc766hm9rGbw19ifQVFICRktOZARTHwIhfSN9/DzRtKmGx2qp2vwAy/OWn1hTPtUa2nnMpO6SAAD8XCiAqaiKUGE//movGgVWrrDNuz50DPvsMuOsuRZbZa4YCEKAAtBcrGZbSFkDiQyIOhP78c6BVKwmL1Va1OwWQ4S8/taZ4rjWy9ZxL2SEFBPi5UABRYROhdgGLV2U4EyTWtIvZrN9+A9q1A2bNUmiVvaa0jd/2zIlKKQpACezaAkhcBSeuhJs5E2jfXsJitVX5a1wtz9StRZOtadN+zlFmyyoI6IyXaH4uVLDyYhtCBD772e84cuLMRd0LngA4Kf0u4KFDgYEDAbG+XUz9FiumHY228Vt7z+y/kALQPquLSmoLoDvvBObPB956C+jaVcJitVXdclyE2l7raS1abE1d+K+HOt8SLgHd8RKtz0W4XPxWXvhl/Pd/YdrSrThy8oIQFLt/B7WqmvYIGHHMi9j4ceYMMGMGcP/9UcGlbfyOSu/svZQC0B6nDEtpC6AOHazs37hxQK9eEharr2r6cRHqe6yvRd1subtSn2+98KZoxYvuz4UXfKWrDyGzwWfPWke+iCVNIrExdy6QzeZNIYo7oW38Vmy3yuYoACVoagug7t2t7J9Im7/wgoTFzlTVnQVwphdmtqqLbagF3dzRHd34CDmwajYv2vGi63OhGav3XzdmDNCvn3XQs5j6LVUqan3WNn5HrYehX0wBGJpRpiW0BdDTT1vZv/79gVGjJCx2rqppA5RzPdXfsg62XFul369232ii2DEhXnR8Luz6iOVsENi0CahZ07rS9J13gIcftlHJuSLaxm/nuiDdMgWgBEJtASQWy4rsX48ewPjxEhazKglkTIC7K82MjGhNs4aiwXgJRYj/noZAUhJwww3A0qXALbcAX38dtanfoF3axm+DQ4ECUMI52gLo5Zet7N9DDwHvvithMauSQMYETMjo0DdpCUR7mjUrfzBeGK1hEXjjDeCpp4D8+a27fsuXD6u6E4W1jd9OGK+oTU8KwAoVKmDbtm1pEPXv3x+jUk2fbt++HT169MD333+PvHnzokOHDnjllVeQK1cu22i1BdDEiVb27+67gU8+sW0fC5KAXQLcXWmXlL5yJossxou+OHD9m/75B6heHThxAhBj2WOPGdElbeO3Eb3N2AjPCsAuXbqgW7duKb3Onz8/xB/xnDt3DrVq1UJcXBzGjh2LgwcP4qGHHkLbtm3xhvilYvPRFkDvv29l/2691Uqd8yEBBwhwd6UDUCWaNH2alfEi4Vy/VE1OBm66ybrFqkkT6+/s2Y3ovbbx24je+kwA9urVC+JPRs9XX32FO+64Azt27ECp87uQPvroI3Tu3Bn79+9HwYIFbblMWwCJa3JE9u+664AlS2zZxkIkEAkBEzccRNIPL9QxOQMY5Mt48UKkOdgHcXqFOMUib17r1o/LLnPwZeE1rW38Ds8sraU9mwE8ffo0EhMTUbZsWdx7773o27dvyvTuwIEDMW/ePKxduzYF9uHDh1G4cOHAlHBTm/ftagugb7+1sn9iB9WaNVoDhC/zHwHurjTD526ZZvVqvHi1X9qie8cOoFo14N9/gVdfBXr31vZqOy/SNn7bMSZKZTwpAMeNG4c6derg0ksvxa+//ooBAwagdevWmDp1agBz9+7dsXXrVnwrhFWqJ3fu3Hj33XdxfyYnkwtRKf4EHxFAQmAmJCTYzhpG5OeffrKyf5UrA5s3R9QEK5EACbiPAKdZo+MzZjYluYup3zvuAL78EmjQwJq5iomRbFRtdQpAwDUCcPDgwRgyZEiWEbB8+XLUrVv3ojKffvop7rnnHsTHx6NIkSIBASg2iXzzzTdpyooNIO+//z7aZ3LfbmY2OC4ARepcZP+KFwf27lX7KWBrJEACRhOgGNHrHlOP3tFLQfJtH3wAPPggIDZVilmrq66SbFB9dQpAFwlAId7En6wesfs3T548FxXZtWsXypQpg2XLlqF+/fqIdAo4ahnAv/+2sn/58gHHjqn/JLBFEiABowlwOlKPe0w+ekcPAQVvEUmKqlWBw4eBESOAAQMUNKq+CQpAFwlAGfcvWLAArVq1CmT9ypUrh+AmkJ07d6JkyZKBpmfNmhXYCWzkJpB9+4ASJSwE584Zs4tKxiesSwIkQAKmEXDDxhvTmKWxR0z9ig2Lc+YAdeoAy5YBOXMaaTIFoAcF4M8//xzI9ImNHLGxsRDTwr179w5MDYuNH5aGso6BKV68OMaMGYNDhw4FdgC3adPGzGNgjh+3DtAUj1hQG/xvIz9WNIoESIAE3EnA9KN3jKf68cdAu3ZAjhzAihXW0iVDHwpADwrAVatW4fHHH8cff/wR2LBRvnz5wJq+fv364ZJLLkkJRXEQtCiX/iBosRHE7qMtgMQ1OuIDJX5d7dlzIRto11CWIwESIAESCEmAGcCQiDIvIJZoianfAwcAcX1piDX7Em9SUlXb+K3EWmcacc0mEGe6L9eq1gAqUMBa//fXX0adpSRHkLVJgARIwBwCbjl6xxxiqSzp2BGYMcO69WPlSmsDiMGP1vHbUA4UgBKO0RpAYq2iWFwrdlQZnFaXwMmqBhDgZgMDnEATokqAR+9EgP/zz4HWra316WLdX716ETSit4rW8Vtv12y/jQLQNqqLC2oNoCpVrDMAxXlK4kxAPiSgmICfjhuh0FUcPB5rzk+fBWnXHTliTf2K5Un9+gGjR0s3qaMBreO3jg5F8A4KwAigBatoDaData3sn7gLWNwKwocEFBLw09lnHNwVBo6Hm+KPBJvO7dIFeOcd4PLLrTFKXPvmgkfr+G0oDwpACcdoDaDrr7eyf598Ym2z50MCigj46ewzPwldReHBZjQTcJXwDF5Tmi0b8H//56rZKa3jt+YYsvs6CkC7pDIopzWAbrvNyv69+y7w0EMSVrMqCaQl4Jedj34SuoxxdxJwVXZaHEkmNnxs3w489RTw+uuugq51/DaUDAWghGO0BtC991rZv/HjgR49JKxmVRJIS8AvZ5/5Regyvt1JwHXZaTEOTZwIVKgA/P67686n1Tp+GxqSFIASjtEaQA8/bGX/Ro0C+veXsJpVScCfGUC/CF3Gt/sIuC47/eOPwI03WqAXLgSaN3cddK3jt6F0KAAlHKM1gJ580sr+vfACMHSohNWsSgJpCfjl7DNmABn5phJwVWyeOAHUqAFs2QJ06wZMmWIq1izt0jp+G0qIAlDCMVoDSFyoLbJ/vXoB48ZJWO3tqq5aQG2QK/xw9plfhK5BYUVTbBJwVXb6mWeAV18FSpcG1q8HYmNt9tKsYlrHb7O6nmINBaCEY7QG0PDhVvava1fgrbckrFZb1STB5aoF1GrdoKQ1P/Dzg9BVEgxsRCsB12QAxSHPjRpZ15IuWAC0bKmVk8qXaR2/VRqusC0KQAmYWgNI7LAS2b/27YGZMyWsVlfVJMHgugXU6tygtCWTBL3SjqVqzKS4daqPbNddBFyRnT51CqhTB9i4EXjgAeD9990FOZ21WsdvQ0lRAEo4RmsAvf22lf274w5g/nwJq9VUNUlwuW4BtRoXsBUJAn4QuhJ4WDUKBIzPTj//PDBiBFC8OLBhA1C4cBQoqXul1vFbndlKW6IAlMCpNYBmzbKyf2Ln1Q8/SFgtX9U0weWa6RN59GyBBEjAwwSMzU6vWgVcey1w7hzw6adA27au94LW8dtQWhSAEo7RGkBivUWrVkDdusDy5RJWy1c1TXC5agG1PH62QAIk4GECxmWnExOBevWA334DxHm0s2d7gr7W8dtQYhSAEo7RGkCLFgFNmwJXXmmtwYjiY5rgMk2QRtE1fDUJkAAJqCUgjh0bOBAoUsTa9SumgD3waB2/DeVFASjhGK0BtGKF9SusTBlgxw4Jq+Wrmia4XLGAWh47WzCAgHHZGQOY0AQPE1i3ztr4ceYM8OGHQIcOnums1vHbUGoUgBKO0RpAf/wBXHUVUKgQcPiwhNXyVU0UXMYvoJbHzhaiTMDY9VlR5sLXe5TA2bPWkS9iyZFYfjRvHpAtm2c6q3X8NpQaBaCEY7QG0M6dQNmyQM6cgFiTEeXHRMHFATrKQeHC19vN6Jm06z0czHb7F06bLOsTAmPGAP36WQc9i6lfcfCzhx6t47eh3CgAJRyjNYCOHAEuvdSy9vRpIFcuCcvVVDVRcHHAU+NbP7RiN35N2/Vu1zd2+2e3PZbzEYFNm4CaNa2xRhxB9sgjnuu81vHbUHoUgBKO0RpAYg1GUPQdPGjMGUwUXBIBxKpRIxBORs+0Na92oIXTPzvtsYyPCCQlATfcACxdCtx8M/DNN56a+g16Uuv4bWj4UABKOEZ7AOXJY/0i27YNKFdOwnJWJQH/Egg3o2fSrnc7P7jC7Z9/I4E9z5DAG28ATz0F5M8PiE0g5ct7EpT28dtAihSAEk7RHkBFiwIi+yfWY1StKmE5q5KAfwmEm9ELt7xTZO1O6Zpir1Mc2K6DBP75B6heHThxApgwAXj8cQdfFt2mtY/f0e1uhm+nAJRwivYAqlDByv798ot1KjsfEiCBsAmEm9EzYdd7OFO64fYvbICs4E0CycnATTcB339vTQGLG6eyZ/dmXwFoH78NJEkBKOEU7QEkfpmJ7N933wHNmklYzqok4F8CkWTIVO56tzONm9o74U7pRtI//0YDe55C4K23gO7dgbx5rVs/LrvM03C0j98G0qQAlHCK9gBq0MDK/onzmO68U8JyViUB/xKINKNndwo2K7KRtBGuoIu0f/6NCPY8cLlAtWrAv/8CY8cCTz/teSjax28DiVIASjhFewCJ9LzI/nnsRHYJF7AqCUREINKMXrjZu9TGhTONm7peJFO6kfYvIpis5G4CYur3jjuAL78E6te3dv/GxLi7Tzas1z5+27BJdxEKQAni2gOoTRsr+zd5spWq50MCJBAxgUiycZG+LNxp3NTvCTcDGKyrs3+RcmE9Awh88AHw4IPWMWOrV/tmg6H28dsAV6c3gQJQwinaA6hTJyv755MUfSjXyGRjQrXNf/cHAV0xFKmIE16QmdLV1T9/RIsHe7l3ryX4xPWiw4cDzz3nwU5m3CXt47eBZD0nABctWoSmTZtmiPrXX39FvXr1Av+WLYM7DSdNmoRHH33Utpu0B5CwTWT/hgwBBg60bacXCzK74UWverdPkUzjpqbBKV3vxkbUeiamfu++G5gzB6hd21pfLq4a9cmjffw2kKvnBGBiYiIOHTqUBvWLL76IhQsX4u+//04RfkIATps2DS1atEgpGxsbi7xiB5TNR3sA9eljZf/69gVeftmmld4rFulaKu+RYI/cQkAmAxjsI3/0uMXbLrHz44+Bdu2AHDmA5cuBWrVcYrgaM7WP32rMVtqK5wRgejpnzpxBmTJl8MQTT0AIweAjBOCcOXPQRqyri/DRHkCDBgEvvQQ89hgwcWKEVru7msxaKnf3nNa7mYDMNG7qfnNK181RYJDt8fHW1O+BA4AYF8W44rNH+/htIF/PC8BPP/0U7dq1w9atW1G2bNk0ArB06dI4deoUKlasiC5duqB79+7InsXBl6dPn4b4E3xEAIk2ExISULBgQefdO2YM0K8f8MADwPvvO/8+A9+gIpNiYLdokg8IcBrXB052Sxc7dgRmzLCOflm5Esid2y2WK7OTAhDwvAC8/fbbAwHzpdjinuoZNmwYmjdvHpjy/e677zBw4EAMGDAAL7zwQqYBNnjwYAwR6+/SPdoE4KRJ1tU8d90FfPaZsg+CmxqSXUvlpr7SVu8R4DSu93zquh59/jnQurV1y8fPP/v2VikKQBcJwMzEV+oP3/Lly1G3bt2U/2vnzp0oX748Zs+ejbvFYtcsnrFjx+Kll14KZPMye6KeAQxu17/5ZuDbb133vaPCYC9mADmtpyIy3NMG/e0eX3nO0iNHrKnfPXt8v5acAtBFAjA+Ph7iT1ZPhQoVkCdPnpQiQ4cOxRtvvIFdu3YhZ4jdTUuXLkXjxo2xd+9eFC9e3NbnXnsAid1abdsCjRpZh3X68FG1lsoUdMwImeIJ2kECPiDQpQvwzjtAlSr+N2kRAAAgAElEQVTA2rXWtW8+fbSP3wZy9uwUcHJyMipXroy2bdvilVdeCYl+/Pjx6Nu3L44cOYLcNtdDaA+g//0PuOUWoEYN68Pr08cra6m4m9mnAcxuk0A0CIhZo1tvFWegAYsXA40bR8MKY96pffw2pucXDPGsABTr+m666SZs2LABV111VRr08+fPD2T6GjZsGFgD+MMPP+CZZ55B586d8frrr9t2k/YAEus1RPavUiVgyxbbdnqxoNszZ37fzcxpUC9+KtknYwmIO36vvhrYtg148kngv/811lRdhmkfv3V1LIz3eFYAdujQAdu2bYOY2k3/fP3114ENH5s3b0ZSUhIqVaqErl27okePHsghzkSy+egOoHOrViPmmjo4k68A/pz8Aa5s1xIxOe3ba7NbrinmZhHhxbWMdgPH7eLdbj9ZjgSMIfDEE8CECUCFCsDvvwP58xtjWrQM0T1+R6ufWb3XswJQB2ydAbT6tbdR5sW+iDt2OKVr+woWxe4ho1C7Vxcd3eU7FBLw625mTnsrDCI2RQJ2CIjp3iZNrJILFwLNm9up5fkyOsdvU2FSAEp4RlcACfFXs3fXgKXZU9mbdP6/146bShEo4cdoVPVjBtDv097RiDO+0+cETpwAatYENm8GunUDpkzxOZAL3dc1fpsMnAJQwjs6AujcmbOIL1oScUfj04i/oNlCBO6PjUPcgd2+ng6WcGNUqnptN3MoiKK/7y79B0O/2BiqKGZ2a4CGlYuELMcCJEACIQgErw8tXRpYvx6IjSWy8wR0jN+mw6YAlPCQjgBa/+E8VOsU+rq69dPnolrH1hK9YVXdBMR06KPTV2X62jc71UGL6iV1m6X8fRmt+cvqJa+3r4XWtUort4MNkoCvCCxbBlx3HZCUBCxYALRs6avuh+qsjvE7lA3R/ncKQAkP6AigFSMnoO5zT4S0csWI8ag7oEfIcixgDgE/CMDM1vxl5QVmAM2JUScscfPmLSd4ONKmuLK0dm1g40ZfXx2aFVsd47cjvlXYKAWgBEwdAWQ3A7jhnVmo+nA7id6wqk4CflgPF6qP6XlnA1AiNg+W9G+GmOzif/HxGgHuANfkUXGl6fDhgLjUYMMGoHBhTS92z2t0jN+m06AAlPCQjgAKtQYwaH5yhQrI9tprwJ13Wgd98jGagB82gdjto3BUMGIneWTa2+Tgi1YGjjvANUXF6tVAvXrAuXPAp59at0fxuYiAjvHbdOwUgBIe0hVAoXYBny10KXIdOX88zG23AeIwa3HVDx9jCfjhGBi7fRROKhmbB4NaVfXEmkdjgw5AtDJwobLBzP5GHjUiSfDH7C9wcvtO5C1VAlVffQnZfvsNuPdeYPbsyBv2eE1d47fJGCkAJbyjM4CECCw16FkUP3rhPuS9sXHYM3gkane9DxgxAhBX3p05A+TKBTzzDPD880C+fBI9ZFWnCNjNjrl5PZzdPr7Y8ip0vq4ip32dCrbz7UYzA2c3Ftwc7w67L8PmMxoXRMGz+fIjx5bN1hQwnwwJ6By/TXUBBaCEZ3QHUJpfeuXKXHwTyJ9/Aj17Al9/bfWqTBng1VeBe+7htLCEn52o6odjYPzQRydiw4k2o52Bs5sNVrEDPFpT3E74Las2M5sZEnXE8WA8HzZrj+gev3XHh533UQDaoZRJGSMDKDkZ+PxzoFcvYOtWy/JmzYA33gCqVpXoLauqJhDMyIh2k1M1Hu56OJMHPFV9VM3eb+1FOwOn6/3RmuLWHU+h1obzfNjQHjFy/A5tttISFIASOI0OoJMngZdfBkaNAk6dAsQdx089BQwaBBQsKNFrVlVJQHbAkq2vsi+ZteUGG3VwiOY7dGbgMuqnjmxwNKe4L+qzOHtPfO+K41jE3xn9yerfQtQ9vm0n8m1cFzKkeD5s5oiMHr9DelZNAQpACY6uCKB//gGefhqYO9fqaYkSwJgxQMeOnBaW8L3KqpFm8Iwa8EIAibSPKjn7uS1dGbisGDuZDU4zxZ2cjJxJZ5H77BnkPpuIXOfOIM/ZRJTOmw3vdaiJmMR0oswJkSbWYhvw8HxYCsCswpACUOJD6goBGOyfWBcoMoB//WX9P40bA+PHW/dE8nEdgWiv6XIdMJ8brCMDl4JYHD+SXlSd/9/L1u/EB4v+xPGEY8h9LjEg0orlSsZdVYuiWuHckWXLTp9G4vH/b+88wK0ozj/8cSmCAoKKBcVoRI0lERV7wa4xGrGjUdGo2DBiJWIDKyr2ikqsUbFj1yiKDWNDYhcLBkWxE2wg5f+8o3P+5557yp6zu3d3z/3N89xHvHd3dvb9pvzmm29mf7Af/vd9TvQ1NAqqSNj4DQ1mHTqYzTefWfv2xX/K/Y17Cv4+5aXXrcelIyq+mDyAEoASgBWbSW0XZEoA8op0wmwKOf10Mz4STsd06KFmp55q1rVrbRB0VyIE0uDRSeTF9dDyBIgBxvtUZMlx/Bsf2wX3v+ZEUrtfxRceMrxj88352fqttqj9rku72kRY/pJlSrxfHtTM1m1tZpt2NrNNW1ug0wI2f+cFahNiVYq0nNgj/CbipBjA8EAzN36Hf+UmOcgDGAJqZivQlClmfCTcnxG1yCK/xArut98volAp9QSSjulKPaCkCljM+1UoxkLEfpWNKfMiDBGYluS9X/mer1qFlM+jyP0Tv/jJjhzzts1q09Zmtv5F7CH6ZrVuY/Na/X+fVk/HzFQ6H1a7gMs3gsyO3xG2bQnAEDAzX4HGjjU7/PBfPhVEWntts8suM+vdOwQV3docBOQBLEIZ4TNr1v97sOKI7fJirlTes2c3h/mDP6OIWJrXvr19Z60Nz1ib+ee3Bbt2slYdCpYmoxJpMXi/ir18sy5xB6cf+5Vlz4cdtH/sz8/yAzI/fkcAXwIwBMS6qEAs13BEzNChZjNm/LIx5IADfjlYGs+gUioJpHLAw/vV3N6uwuelyVqInzBCKsy9eMs4EL4FfRYyzk0maapWhWWpeD5smgufYNnqYvwOyU8CMATAuqpAn35qNniw2Y03/kKEmEA+Jj5ggFnr1u5X6mhCVJYYbm004M2bZ+3mzHaB9S6ma/bPdta2PW2jpTuXP4qi0lEVlf6e7wlLm/cr6LJjGKFV6l5+30zerxiqVmaz1JFDmTVdsxe8rsbvGulJANYIjtvqsgI984zZwIFmEyf+QqZXL7csPOGFt5p8im5a50Vs6rDhtrqWGswQP3HHdhUJ7P/5hx9t7o8/OsGXqoT4KdzxGOEuyIp5tzDvV6psn3BhdORQwgbIyOPrcvyukr0EYJXA8i+v2wqEmBk50uzEE82+/da9MmHl/ORvEeG0eVLiwcbEfnnxFUaEVePtKhRjLH+mKUV03EQjoRXUUybvV5pqgsoiAiJQhEDdjt9VWFsCsApYhZfWfQX64gubO3iwNVx7bUlK7pNDnRexbpMnWes5s5MJwEf0pSm1bRvpmV8VvV2FS53yfqWpNqgsIiACKSRQ9+N3AOYSgAEglbqkJVSgN/45xlbZq28ISs18K0HvZY6LCOzRCurtKrbM+WvMZDO/uR4nAiIgAiIQkEBLGL8roZAArESozN9bQgV66azLrPeQgcEp4f0KGnxf5IT7qr1dhQKM57egnY/BDaMrRUAEREAEPIGWMH5XsrYEYCVCLVwABvUAvjlqtK3cf+fcjuEQWHWrCIiACIiACMRKQALQTAIwRBVrCRVInxwKUUF0qwiIgAiIQCoJtITxuxJ4CcBKhFq4B5DX1yeHQlQS3SoCIiACIpA6AhKA8gCGqpQtqQLpk0OhqopuFgEREAERSBGBljR+l8KeSQ/gGWecYQ888IC9+uqr1q5dO/v217Pq8l/yv//9rx122GE2duxY69Chg+255542YsQId71Pr732mg0cONBeeOEFW2ihheyggw6yk046yVoF3ETQ0iqQvgSSot5LRREBERABEaiZQEsbv4uByqQAPOWUU6xLly728ccf26hRo5oIwDlz5livXr2sW7dudt5559lXX31l/fv3t5122sku4bu3v37FY4UVVrBNN93UTjjhBHv33Xdt3333NfI++uijA1UqVaBAmHSRCIiACIiACKSKgMbvjC8BX3fddTZo0KAmAvChhx6y7bbbzqZMmWLdu3d3le7WW291Au/zzz+3zp072xVXXGHHH3+8TZs2zebjzDczGz58uBOICMsgXkBVoFS1ZxVGBERABERABAIR0PhdpwLw5JNPtjFjxthE/z1bM/vmm2/cMi9Lwnj99tlnH5s+fbq7zqcJEybYGmusYR988IEtu+yyTSrRzJkzjR+fqEA9evRw+SAqlURABERABERABNJPQAKwTgXggAEDbPLkyfboo482qoV4+vAa7rHHHrbVVlvZMsssY1dddVXumqlTp9qSSy5pzz33nK233npNavDQoUNt2LBhTX4vAZj+xq4SioAIiIAIiEC+A2fBBRds0Q6c1MQAlhJX+dX1xRdftN69e+d+VWoJGAH40Ucf2SOPPNKotrMB5IYbbrB+/fo5AYiXb+TIkblrPvnkE1tqqaVs/Pjxtu6668oDqL5CBERABERABOqQgDyAKfIAfvnll8ZPuYTHrj2f/vo1lRKAcS0BF5ZNFagOewW9kgiIgAiIQN0T0PidIgFYS22rtAmEzRxLLLGEy3r06NFuJ3D+JpAhQ4a4TSD+aJizzz7bLr74Ym0CqcUYukcEREAEREAEMkJAAjCjApAz/r7++mu799577dxzz7Wnn37aVbmePXtax44dzR8Ds9hii7m/cy07gPv27Zs7Boa4vRVXXNE222wzQwhOmjTJXYP3UMfAZKQFq5giIAIiIAIiUAMBCcCMCkCE2vXXX9/E5E888YRtsskm7veIxEMPPbTJQdD+yBeu4SBoDovmIOiuXbvawQcf7ARgkCNguB8RyXmEHDejXcA1tEDdIgIiIAIiIAIJEPCnePAhCTaDtMSUmk0gWYTPEjPHwCiJgAiIgAiIgAhkjwAOHDZ/tsQkARjC6nPnzjWOjunUqVNgr2Gpx/nZSL16E+v9/bCr3jFEY0rRrbJjiowRoiiyYwh4Kbo1LjvOmzfPZsyY4T4W0dDQkKI3br6iSAA2H+uyT6r3eIR6fz8vAOv9XCnZMSUdRshiyI4hAabkdtkxJYbIaDEkAFNiuHpvyPX+fhKAKWlIERRDdTUCiCnIQnZMgREiKEJLsGMEmGrKQgKwJmzR31Tvlbze308CMPo2kVSOqqtJkY/2ubJjtDyTyq0l2DEpthKASZEveC7fGD7rrLPs+OOPt/ydyikpXuhi1Pv7AUjvGLqapCID2TEVZghdCNkxNMJUZNAS7JgUaAnApMjruSIgAiIgAiIgAiKQEAEJwITA67EiIAIiIAIiIAIikBQBCcCkyOu5IiACIiACIiACIpAQAQnAhMDrsSIgAiIgAiIgAiKQFAEJwKTI67kiIAIiIAIiIAIikBABCcBmBn/GGWfYAw88YK+++qq1a9fO+A5hYeI7xnyjeOzYsdahQwfbc889bcSIEe56n/iO8cCBA913jBdaaCE76KCD7KSTTgr9RZKocTz55JO26aabFs2Wsq+11lrub8W+v3zFFVe47zNnIS2zzDL20UcfNSrq4MGDbfjw4bnfBbFrWt918uTJdtppp7k6+dlnn7nT8/faay874YQTGtXLrNsR/pdffrmde+659umnn9oqq6xiF154oW200UZpNU3JcnGqwF133WVvv/2260fWX399O/vss23FFVfM3VPsu+rrrLOOPf/885l436FDh9qwYcMalXWxxRZzdZTE1x74+1VXXWXffPON8W6XXXaZs2tWUrG+hbLzrXveJYs2fOqpp1wbe/nll107u/vuu61v3745kwSxG7uDjznmGLvlllvsxx9/tM0339y13Zb6Wbda6rMEYC3UQtxzyimnWJcuXYzvCI8aNaqJAJwzZ4716tXLunXrZuedd5599dVX1r9/f9tpp53skksucU/mXKQVVljBCSsG4Hfffdd1AuR99NFHhyhd9LfOmjXLvv7660YZI1Qfe+wx++CDD3LCD+Fw7bXX2jbbbJO7lq9qMHBlIdFJ77///nbggQfmituxY0fjhxTErml+z4cffthGjx5te+yxh/Xs2dNef/1196577723m5z4lHU78o68EwPJBhtsYCNHjrRrrrnG3nzzTVt66aXTbKImZaMt9evXz02yZs+e7foKJo68ywILLOCup9+YNm2aa3s+MdFkUpmFhAC84447XH/iU+vWrV3/SULwMum+7rrrXJ95+umnG+LjnXfecZ/wzEL64osvXP/hE21vyy23tCeeeMI22WSTTNrwoYcesmeffdbWWGMN23nnnZsIwCB2O+SQQ+y+++5ztl144YXd2MdYg6ikDihVJiABWJlRLFdQaQcNGtREANIwtttuO+ObwHhZSLfeeqtr5J9//rl17tzZ8IxxXiAdtz8zEE8TAhFhWcwLE8tL1JDpzz//7GZoeC8RgvnCoXAWWEP2id2CAMSe/BRLQeyaWOFrfDAzeOoiQr5e7IiHiEGJ9/JppZVWct4JPGpZTgiJRRdd1MaNG2cbb7yxexX6FVYh7rnnnky+GgKQsrOiUpjwItGH0ibxxpPwGuEhRGCwapLFxPvcf//9NmnSJNfXZ92GvEN+3x/EbtOnT3ci/8Ybb7Tdd9/dmXHq1KnWo0cPe/DBB23rrbfOommbvcwSgM2O/JcHlhKAJ598so0ZM8YmTpyYKxlLF8zIWX7D67fPPvsYDYDrfJowYYIbuBiMl1122YTeqvJj77zzTtttt92MJUUaa75wWHLJJe2nn35y5cebNmDAgMx8pBsByOCCx5P32nXXXe3YY4/NLY8GsWtleum64sQTTzQ8gy+99FJd2BHbzT///Hb77bfbjjvumHunI444wgkMhFOW03vvvWfLL7+88wKuuuqqOQGIgMLrx8pEnz59nMcMoZiFhABkIsJqAZNhBPyZZ55pv/3tb11fuNxyy9krr7xiq6++eu51dthhB/eu119/fRZesVEZqaOI2qOOOsqGDBlSFzYsFIBB7MZYyJIvHr+uXbvmGK222mpuslYYFpA5QzdTgSUAmwl04WNKCUBED+Lo0UcfbXQLnRv3sAS31VZbGYKDuBafmP0goJ577jlbb731Enqryo/ddttt3UXM0vITSzM0aJZ8H3/8cUMw4eVEZGQhXXDBBU6A0xkR20jZGWhYPiQFsWsW3tOX8f3333fvS5jCAQcckCt6lu3o2xBLU8TL+YSgQCywbJjVhFeF+shk8umnn869BkvehCn85je/sQ8//NB55VkuZhktC18kwrP+ww8/uOVdVkSof8Q8vvHGG85eLON/8sknudUU3xaJ133kkUcyZ87bbrvNxYQTT+xXiLJuw0IByBhWyW4333yz7bfffm7SnZ8YG3EgELqhVJmABGBlRhWvKBaIXHjTiy++aL179879upwALNY5MUO/4YYbXExPsUpOJ8fS6vjx423dddetWOawF9TyzixPM9DQiRH3US4hLE499VTn6Uwq1fKOvqx4OnfZZRf78ssvXXwKArCSXZN4z1reEaGEp4gfL3BLlT0NdgzKtdQkCo8YS00Ii6wmNpWx+eyZZ54pGyRPQD5tlLAT4o6zlr7//nvn9TvuuONcP4iQwK5LLLFE7lWIXSXEBu911hJLm4wFxL6VSlmzYSkBWM5upQQgsZHY/8orr8yaaRMprwRgBNgZ5Pkpl/DYtW/fvqIADLJUmIYl4FremV2kxCkiVtu2bVuWF16YDTfc0O3mI2YniVTLO/pyekHObkqWpYLYNQvvSKdMGALvxCSmoaEh9XYMyrVel4APP/xwFyfH5ocg4SEsE+PV9XFzQfml5TpEABuVCMGopyVgJpAsbbOzG29uuZQlG2oJOLmWIwGYEPtKm0DwlvlZKy5+dgLnbwIh/oMlD380DEHNF198cWo3gbAERWeMVyF/12gp/JdeeqnrwAlQz8JSVOF7EKS9/fbbO68fu0f9JpBydk2oKgZ+LKIW8bfmmmvaTTfdFGinXdbsiLDl/dgF7NPKK6/sBtysbQKhzSH+CLDnOCZEQaXEqQOEkhBewkQza4klQfoZPO4sZ7NMeuSRRzqPIAmRT3xjFjeB4K1naRPvZZs2bUqaJms2LLUJpJzd/CYQ+iFiykl4PlkF0yaQ4K1WAjA4q0iuJHaDwNV7773XBS/7eBxmrMTi+ONC8Hrxd65llxeBrf4YGCo/Z3ltttlmLhCY3WBcg5cpbcfAeGjE9W2xxRbuCAp2VeYnljPw9BG7SAwgxxvwHrzTRRddFAn3ODNh2R1PH+KIYHSW++m8WPL3G3WC2DXOMobN2y/7ImYJRcg/ZmHxxRd32WfdjryDPwaGJSTqI0Lo6quvdjFlLI1mKXFOHEtl1MH8s//88UrfffedISoIx2CySewx/Ql91FtvvZWJY1I4B46JFvWSCTIxgGzWYaML9kLoIdw55gYBTDwnYjhLx8BQ5+bOneu8t8SA558tmlUbUm42JZHYoHP++ee7/pPNjtgyiN04BoaJNs4U7qMuIH51DEzwXkoCMDirSK4sdmgnGfsznfg3HTCdd+FB0PmeMDo44nrYcMDGAw5MRgCm9QgYApfxhrG0W5iIxWHTBB0CHR3LHCxB8X7lZrqRGCSCTNhliL2IEcMDwcBDrCZeB3aV+hTErhEUJ5Ys6GQJui6W8DSRsm5H/254/8455xznUWC3LBt8/LEpscCNKdNSfQFiiH6Iw3OZWHKCAJ52RCCDMKEa+Tv0YypeJNnSzljaJlyDY0GI+6P8eG1J/kBhPGf5B0H7XdCRFKIZMmFTIPF/CFc2vPiUVRuW+kAAK130NUHsxokRrBIxyck/CDordbcZqk3FR0gAVkSkC0RABERABERABESgvghIANaXPfU2IiACIiACIiACIlCRgARgRUS6QAREQAREQAREQATqi4AEYH3ZU28jAiIgAiIgAiIgAhUJSABWRKQLREAEREAEREAERKC+CEgA1pc99TYiIAIiIAIiIAIiUJGABGBFRLpABERABERABERABOqLgARgfdlTbyMCIiACIiACIiACFQlIAFZEpAtEQAREQAREQAREoL4ISADWlz31NiIgAiIgAiIgAiJQkYAEYEVEukAEREAEREAEREAE6ouABGB92VNvIwIiIAIiIAIiIAIVCUgAVkSkC0RABERABERABESgvghIANaXPfU2IiACIiACIiACIlCRgARgRUSNL5g7d65NnTrVOnXqZK1atarybl0elsC8efNsxowZ1r17d2toaMhlJ7uEJRvu/lJ2IVfZJhzbsHerzYQlGM/9sks8XMPmWq4vC5t32u6XAKzSIh9//LH16NGjyrt0edQEpkyZYksttVQuW9klasK15VdoF3KRbWpjGfVdajNRE40mP9klGo5R51KsL4v6GUnnJwFYpQWmT59uXbp0sXHjxlnHjh2rvFuXhyXw3XffWZ8+fezbb7+1BRdcMJed7BKWbLj7S9mFXGWbcGzD3q02E5ZgPPfLLvFwDZtrub4sbN5pu18CsEqL/O9//3PC4+WXX5YArJJdFJfTONdcc00nKjp37pzLUnaJgm7teZSyCznKNrVzjeJOtZkoKEafh+wSPdMocizXl0WRf5rykACs0hoazKoEFvHl6jQjBhpRdhKAEYGMIRu1mRigRpCl7BIBxBiykACMAWq9ZCkBmKwl1Wkmy7/U0yUA02kXSqU2k07byC7Zsks6SxuuVPIAVslPArBKYBFfrk4zYqARZScBGBHIGLJRm4kBagRZyi4RQIwhC3kAY4BaL1lKACZrSXWayfKXBzCd/MuVSm0mnTaTXbJll3SWNlyp5AGskp8EYJXAIr5cnWbEQCPKTh7AiEDGkI3aTAxQI8hSdokAYgxZyAMYA9R6yVICMFlLqtNMlr88gOnkLw+g7JI9AukssQRgOu2SilJJACZrBgnAZPlLAKaTvwSg7JI9AukssQRgOu2SilJJACZrBgnAZPlLAKaTvwSg7JI9AukssQRgOu2SilIlKQAvueQSe+yxx2zMmDGBWWy22Wa2zz772L777lvyHvK95ZZb7KuvvrLLLrvMPYP3vPzyywM/p7kuzJIAjMNef//73xvZZu+997bf/e53dsIJJwQyAZ9l23zzze2ee+6xlVZaKdA9QS5KawxgHDYIwiOKa/7973+7tvviiy82OvS82ryz1Gaqfbeork+iHckuUVkv2nwkAKPlWVe5lROADM533323e982bdq4L4asuOKK9qc//cl22mkna2hoCMWilsHs66+/tg4dOrifYun999+3bbfd1gm/1VZbzZV55syZxgex87+0EargEd4cZaeZRXsVCkA+iUddC/pZwjlz5hh1omvXru6+qFKtAjCLNoiKWaV8KgnAoGI+yjaTX+ZC2y2++OK21VZb2eGHH27zzz9/pddL1d+rFYBRtKO47OLBevscffTRNmDAgBxvJviHHXaYvfPOO6FtUNgfhc4wBRlIAKbACGktQiUB+OWXX9pZZ51lc+fONf799NNP28iRI6137952xRVXhBp0axGAlTg+8cQTdvDBB9vbb79trVq1qnR5pH//+eefrW3btlXlGWWnSeeVNXultcMNIwCzZoOqKmyIi7MgAL3tZs+ebS+99JKdeOKJ1rdvXxs2bFiINy9+K6KLPirsRLpY7tUKwCheLsq+rFh56CsefPBBm2+++dyqjv92ugRgeetJAEZRu+s0j0oCsNjS6fjx490S7Omnn2677rqrIzN16lQ77bTT7Pnnn3ed2kYbbWQnnXSSLbLIIjlyV111lV133XX2448/2h//+EdbaKGFnKD0S8D/+c9/7IILLrA333zT6IBZ0jv++ONtlVVWyeVRbgkYQXnppZc2shSzwkKRQYM45ZRT7PHHH3eepgMOOMD9O8e5DXgAABIaSURBVH/pEU8nXsQtttgilx+id8iQIc776b0VlJfl5ldffdWGDh1qO++8s73yyit23nnn2WuvvWYLLLCA7bbbbjZo0KCigjTKTrOUmEqrvQBbaQkYe8Pvo48+socffth1+occcojtvvvuzi7FvEbvvfeenX322W4AxytIXWMgb9euXeBWHEYAZqnN5Ntg5ZVXtn/+85/OY77ddts1Ylas3e2www6ufeAhI9Fm6BOefPJJe+aZZ2yxxRazwYMHuyV6UqEA/Omnn+xvf/ub4fWlb1hnnXUa2Wfttde2G2+8sYnNomwz+ZkXaz/UG95n7Nixds4559gDDzzgvkSy6qqrur7pD3/4Q6N3Y3J8/vnn24cffuj6E3jAhXTXXXfZmWeeaeeee677mTx5sj3yyCON+hhfniWXXNI9k5Rfn1n52GCDDdyz6T9JP/zwg+t7/vWvf7n+5q9//asxEc7vz2ppR4Eby68XxmUXXw7sQ12hL9h0003tuOOOc3/KF4DffPONG4do+3xffemll7aDDjrI1Wef6Efo28kHnowzhAeNGjWqyfhxww03uHo5bdo05wh59tln3di0ySabuDGkS5cuLltfd8q1IUQ5dYF+6I477nDOgn79+uXaDzZlNYM65BPP6tOnjx155JG2yy67VGsSd70EYE3YWsZNtQhAyND5L7roonb11Ve75VVEEY0JgcTMlhkznZHvwJm50WBpNGuuuaYTffytR48eOQGIUPn8889d50r6xz/+4TpfOkm/JFhOAH7//ffuWhoSAxCpW7duTUQGnfpzzz1nZ5xxhi288MJ28cUXu/9HvPnYs6ACkI6axk8nQsOmg0IUw4d4JwQKfz/00EOtf//+sQ5m5bxpabRXfsfp4zMLPRfYG7siFDbccENnX0T3/fffb8stt1wTAUj92X777W2NNdawI444wmbMmOH4I0Kom0FT1AIwrW3G2wCuDGrU008++cS1IYQ3Aw8pqABk2fTYY4+13//+965933nnnU6MMFDmC0AmiQzMeHMYjFliZQJI22GS2LNnTzdA+gE2325xCY1i7QcBd99997k6BSP+nzZ/zTXXOIH26KOPNno36iR9CBNf6um7777r7uNdEIAnn3yy69/oC3k3eFG/fWJyzIS0V69eTnBSn//85z87W9CGEecjRoxwIgRxQkL8wRhx6Z8LawSD78+qbUdB20lz2MU/w9tnxx13NJaBYQ+/fAGIUKNvWH/99d2YwfiBcGOSTkgQPBGP1FEmL7BHLOLlJcGL+sU9JCacjGf8nTATysCkEjsuscQSru4GbUP0bTg39ttvPydIcRqQH8ITUY/jYK+99nJlZmwl4Zg45phj3HjGeFpLkgCshVoLuadWAcjAgHcNYces6MADD3SVlUZBYtZKrODtt9/uZsnMdBBV+UspdGp0aKU2gdDw1lprLedNo9GWGojyTVVsOSC/Y6cxrLvuuq4T3WabbdytiAQ8lgw+1QpAREW+sKNjZ/mZd/JL0DfddJPzcDz11FNNalWUg1k5AZhWewXxADJhwGNCYrJBZ4nXaY899mgiAC+66CK77bbb3KDg40QZHPHAUk+DxhbGIQDTbAMYMfB4ZgyYCJCXX37ZLVEGFYB4Z2FNwjOFEKfub7zxxjkB+NBDDzlhiXeGtu09s2mIAcz33iJI6dfwACH2EAUIQRLhHjCh7SPYvLhF9BGDTGIyiPeG+/gdAhBhTd+Ad64wUbep16ym3Hzzzda+fXujPlMORIJPn332mcsXTxZCgfJhq8Ln0r/mC8Bq2lEtw1+UfVmx5+f3FawAILYRvZWWgIkX5Fq80W+88YZzVmBPhHxhKtaH4q1j3OI5eLVJCHuEOTZYZpllnJCr1IYQgIxp2NYnRDrjESKPxJiJ2KTekYhtJHbdC9Io7VJLXmm/R18CqdJCtQpAOvlJkya5JRFmosza/ZKFLwLijQ6ICp3/b/93Gi8dpxeA7Nqlw+N3xOIQd8iMmKXkv/zlL+62SruAKwlAxBkzaRpr9+7dc7SYVbLEW60ApDHTsfpEA8aTwgzTJ2Z95M/yOLPI/BRlp1lOAKbVXkEE4J577ukGWZ/oeAnOHzhwYBMBSGePN+nCCy/MXc9SEMuJeKO8d7lSM4lDAKbZBogO71GCjW8nfqAMKgDhzpK7T7QN2i99gBdJeG3wENLWW7dunbs2DQLw3nvvdV5JPGz84DlG5OGZKRQN+YOzf7fCfoX3xtNEXfUeQEJDisUnI4bZdIfggBGJ+szqRGFsMeIaYY0gKdaf5fe5vt+sph1Vah/F/h5lX1Ys//y+gp3k2AV7sZTuN4EgsOCCYwJv36xZs9wPNqC+8ff999/fiWpWFPjZeuutc/GExfpQxN/rr7/unBn5ibrNGMb93FepDSEA8WyzCuYTEyY8wV7gMY6OHj3amCQxHiL0+R1jU61JHsBaybWA+2oVgMyEEVDEK1x//fVu8MADmJ+otD6IOogAZNZDDATLfeSNZ4CZHps6/LEvYQXgW2+95QYjvB3eW0mZCztMZujEFG655Za5V2JZBtd/fgxg4fEjDH5Tpkxp1GEzs0fI0ln5eCCfaZSdZjkBmFZ7BRGAhcf+5MeeFYoGhCJCu9iAyaYl6k+QFIcATLMNSg1eXtAghBjA8o9fYrKDFz0/BrBc3KwXSbRplu/oN/LbQxoEIEuILKmyzId3jXpUatLIcjmDt5/IUk8rCUCuZcmxMDEJpq9k2Zx+xifqM15Z7yHKv4/wFuLY6LuKPdf3uV4AVtOOgrSRwmui7MsqCUAvjrET/bEXgIQksTzPygx1C3YwZ6Lhw0zoj1luZUWAuEmcDawaEI5UrA9FsCH+mBjkJ/p0HAa0i3IC0Num2MYc6hAevuHDh7usiWFkNYp6wBLxrbfe6kIIwiQJwDD06vzeWgSg31RAwyJurtwSMLNZZvssASOq6Fx9YiAgENx7AFdffXU3O/LxGJ9++qnzprFsEpUA9EvAzLaZuZH4HY0uP2aGGBI6Fe95ZJbJ9czUyglAYlPwQOV7rPz7IjgLNyJE2WlW2gSSRntFLQD9JiIG08LEgBn0OI+oBWCa24xfvho3bpxbdiQx8LCRxi8BEx6BoPCB9/BhKZ56Xq0AxHuDGGfyxECHV4SE+GKpuJKnNso2k19HSrUfvG14kAuXgL13EI9SsSVgPM94cGh3fgm4mACcMGGCixc+9dRT3UpBfqI+IwCIayt2zBExbIVLwP65+SEtlTy4QcV3ueEwLrv4ZxbaB2EOL2LqWCInJAlnAZtj4ExiFYlJOUvAxc6BxSNIeBF58IO3+osvvrArr7wy96qIQ8J4cAgUJp7VqVOn3BJwuTYURACSPysF5IkAJFaQWNkwSQIwDL06v7eSACx1pAWdDrN9ZlZ+EwiDq98EgtAr3ARCDIbfBEJgNa7t/E0gCD8alA/EJa4F1zvxQlEJQMyJOGBA9ptAaNgE2SIA/UaBo446ys38iT2jEyFmkMGQTrqcAOQeOhIaMYMGgo8OhZgRYnIKU5SdJh1k1uwVtQBERDApYXmIjp06iVeZzpQlsKBHboQRgFm0ASIDkcCSFJtA/G53JjQkvzzJEi8eC5bTWJpkx2ktApA8GKR9CAkDNEuuLKsxiCNe8LgwEMbZZoIIQK6hryDei/+yOuE3geBBYqOAF4DLL7+867/YXIZ4oz+ALf2A3wWc7wGkb6DfYwLqWfM8+lX6QuqzX51AbBNCgtcPbmxI4Tr6VOKL4emfixe8cBNIvXkA4cSEBLsQS44AhAHeZXZiY5drr73WLacyXiEAJ06c6Pp+Ji+w4v8J12EsQ6wj/FiCRVDi3aX+US/9Uj5efPJFZLOUz9Ky3xxSqQ0FFYA4VBB9jDt4D33cYa1SRAKwVnIt4L5KAjD/IGg6bbx4zEqYeeUPpkGOgaFxIfporHjTaIAIL+8BJFaOGRhiiU4W4YcIzO+4wi4BY1IaROExMHSoBOP6TpiOl0GQpQKWgvg3fys8BqbYFyiIL2GgZGbPu+JVIZaHgS3OwQwxlTV7RS0A4Yu3FsHOoIyHmRggBCGe5KBnQ4YRgFm1AW2bY2DgxfIu4Q7eYw0PJk4c28SgyA5r2nLhMTBBloDzvwSCiGEAxxO47LLLuqU28qD9EUKS9DEwvr3SjpkM4onD61bqGBj6OMQyddAfA+M3fBQTgF44FvYL+cfA5NdnbEPfiGD09Zny5B8DwwQUT1ThMTD1KACZrBCGABcEIBtv6KMReSz/MulmJYmNfghAPhSASGSsoU7DEmFGjCeJySLL7fTdeH79MTAIdfoUuMKb55E3Tg02lvl+rFwbCioAcajgXcYzTjxj2CQBGJZgHd+f5KfgasFK0C6Djz9/sJY8Cu+hobP0RGOOMl+ew0wU7wZxa8VSlB7AKFhEnUcc9qqmjMzmCaYm1qaaVKsArOYZzXVtJRuUix1trjJW85w0tplKh1xX835ZvTaNdomDJU4LJi1MXnyKsg0RW4jAR6iy2S1skgAMS7CO78+KAKRR4I0j3oYjKogXrDUx+/vggw/c8TTMDPE4vPDCC27pwB+uWmvehfexZEBD5pzAYjE89dppRmmvMLbA6+qXb6r5VFw9CMCgNohy8Apjq6D3prHNSACWPnA4K2NM0PrHQdN4DllV8H1KFG2IJV88jSxbs5xMeEE1fVap8ksABrVsC7wuK42T5SYCxxnMWfoIkxCALGdxWj+7/PjSCA24cIdumGf4ezlkGsHKZpZiZzmlcTCL4r2jtFeY8hDATSwWApyDxYOmehCAQW0QxeAVlGsU16WxzUgAthwByAkSxHkSC8hxM6Qo2pDfiMMRQOwKXm+99aJoLvoSSCQU6zSTrAjAOsVfsnHKLslavB4EYLIE43t6GgVgfG+bnZxll3TaSh7AdNolFaWS0EjWDOo0k+Vfy7KJ2kyyNlObSZZ/tW1G7SVZe0kAJss/1U9X40zWPBrMkuVf7WDG9WozydpMbSZZ/tW2GbWXZO0lAZgs/1Q/XY0zWfNoMEuWf7WDmQRg8vZSm0neBsVKILtkyy7pLG24UulbwFXykwCsEljEl6vTjBhoRNkpBjAikDFkozYTA9QIspRdIoAYQxbyAMYAtV6ylABM1pLqNJPlLw9gOvmXK5XaTDptJrtkyy7pLG24UskDWCU/CcAqgUV8uTrNiIFGlJ08gBGBjCEbtZkYoEaQpewSAcQYspAHMAao9ZKlBGCyllSnmSx/eQDTyV8eQNklewTSWWIJwHTaJRWlkgBM1gwSgMnylwBMJ38JQNklewTSWWIJwHTaJRWlkgBM1gwSgMnylwBMJ38JQNklewTSWWIJwHTaJRWlmj59unXp0sXGjRtnHTt2TEWZWlIhaJx9+vSxb7/91n1ayCfZJdlaUMoulEq2SadtZBfZJVkC6Xx6ub4snSWuvVTaBFIlO74/2KNHjyrv0uVRE5gyZYottdRSuWxll6gJ15ZfoV3IRbapjWXUd6nNRE00mvxkl2g4Rp1Lsb4s6mcknZ8EYJUWmDt3rk2dOtU6depkrVq1qvJuXR6WwLx582zGjBnWvXt3a2hoyGUnu4QlG+7+UnYhV9kmHNuwd6vNhCUYz/2ySzxcw+Zari8Lm3fa7pcATJtFVB4REAEREAEREAERiJmABGDMgJW9CIiACIiACIiACKSNgARg2iyi8oiACIiACIiACIhAzAQkAGMGrOxFQAREQAREQAREIG0EJADTZhGVRwREQAREQAREQARiJiABGDNgZS8CIiACIiACIiACaSMgAZg2i6g8IiACIiACIiACIhAzAQnAmAErexEQAREQAREQARFIGwEJwLRZROURAREQAREQAREQgZgJSADGDFjZi4AIiIAIiIAIiEDaCEgAps0iKo8IiIAIiIAIiIAIxExAAjBmwMpeBERABERABERABNJGQAIwbRZReURABERABERABEQgZgISgDEDVvYiIAIiIAIiIAIikDYCEoBps4jKIwIiIAIiIAIiIAIxE5AAjBmwshcBERABERABERCBtBGQAEybRVQeERABERABERABEYiZgARgzICVvQiIgAiIgAiIgAikjYAEYNosovKIgAiIgAiIgAiIQMwEJABjBqzsRUAEREAEREAERCBtBCQA02YRlUcEREAEREAEREAEYiYgARgzYGUvAiIgAiIgAiIgAmkj8H+QeLOXbd7yJwAAAABJRU5ErkJggg==\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hull1 = Graham(points1)\n",
    "plot = Plot(scenes=hull1[1])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Algorytm  Grahama dla 2. zestawu danych"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hull2 = Graham(points2)\n",
    "plot = Plot(scenes=hull2[1])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Algorytm  Grahama dla 3. zestawu danych"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hull3 = Graham(points3)\n",
    "plot = Plot(scenes=hull3[1])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Algorytm  Grahama dla 4. zestawu danych"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hull4 = Graham(points4)\n",
    "plot = Plot(scenes=hull4[1])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "## Algorytm  Jarvisa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Jarvis(points, step_visualisation = True): \n",
    "      \n",
    "    scenes = []    \n",
    "    \n",
    "    root = min(points, key = lambda k: (k[1], k[0]))\n",
    "    hull = [] \n",
    "    pointOnHull = root\n",
    "    endpoint = points[0]\n",
    "    \n",
    "    while(True): \n",
    "          \n",
    "        hull.append(pointOnHull) \n",
    "  \n",
    "        endpoint = points[0]\n",
    "        for i in range(len(points)): \n",
    "            if step_visualisation:\n",
    "                scenes.append(Scene([PointsCollection(points), PointsCollection(hull.copy(), color=\"red\"), \n",
    "                                     PointsCollection([points[i]], color=\"cyan\")],\n",
    "                                    [LinesCollection([(hull[i], hull[i+1]) for i in range(len(hull)-1)], color=\"red\"), \n",
    "                                     LinesCollection([(points[i], hull[-1])], color=\"cyan\")]))\n",
    "            if (orient(pointOnHull, endpoint, points[i]) == -1) or orient(pointOnHull, points[i], endpoint) == 0 and dist(pointOnHull, points[i]) > dist(pointOnHull, endpoint): \n",
    "                endpoint = points[i] \n",
    "\n",
    "        pointOnHull = endpoint \n",
    "  \n",
    "        if pointOnHull == root: \n",
    "            break\n",
    "            \n",
    "    lines = [(hull[i], hull[i+1]) for i in range(len(hull)-1)]\n",
    "    lines.append([hull[-1], hull[0]])\n",
    "    \n",
    "    final_scene = Scene([PointsCollection(points), PointsCollection(hull, color=\"red\")], [LinesCollection(lines, color=\"red\")])\n",
    "    scenes = [final_scene] + scenes\n",
    "  \n",
    "    return (hull, scenes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Algorytm  Jarvisa dla 1. zestawu danych"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hull1 = Jarvis(points1)\n",
    "plot = Plot(scenes=hull1[1])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Algorytm  Jarvisa dla 2. zestawu danych"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hull2 = Jarvis(points2)\n",
    "plot = Plot(scenes=hull2[1])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Algorytm  Jarvisa dla 3. zestawu danych"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hull3 = Jarvis(points3)\n",
    "plot = Plot(scenes=hull3[1])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Algorytm  Jarvisa dla 4. zestawu danych"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hull4 = Jarvis(points4)\n",
    "plot = Plot(scenes=hull4[1])\n",
    "plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Porównywanie czasów wykonania algorytmów"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import time\n",
    "def timeCompare(name, points):\n",
    "    start_time = time.time()\n",
    "    print(name,\"---------------------------------------\")\n",
    "    Graham(points, False)\n",
    "    print(\"\\t| Graham | %s\\tseconds |\" % (time.time() - start_time))\n",
    "    start_time = time.time()\n",
    "    Jarvis(points, False)\n",
    "    print(\"\\t| Jarvis | %s\\tseconds |\" % (time.time() - start_time))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Zestaw 1 ---------------------------------------\n",
      "\t| Graham | 0.013498783111572266\tseconds |\n",
      "\t| Jarvis | 0.020500898361206055\tseconds |\n",
      "Zestaw 2 ---------------------------------------\n",
      "\t| Graham | 0.010498285293579102\tseconds |\n",
      "\t| Jarvis | 0.17249822616577148\tseconds |\n",
      "Zestaw 3 ---------------------------------------\n",
      "\t| Graham | 0.011500358581542969\tseconds |\n",
      "\t| Jarvis | 0.014000177383422852\tseconds |\n",
      "Zestaw 4 ---------------------------------------\n",
      "\t| Graham | 0.011500358581542969\tseconds |\n",
      "\t| Jarvis | 0.006499290466308594\tseconds |\n"
     ]
    }
   ],
   "source": [
    "timeCompare(\"Zestaw 1\", points1)\n",
    "timeCompare(\"Zestaw 2\", points2)\n",
    "timeCompare(\"Zestaw 3\", points3)\n",
    "timeCompare(\"Zestaw 4\", points4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr style=\"border:1px solid gray\">\n",
    "\n",
    "### Zapis punktów otoczki do pliku"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hull = Algorytm(Zestaw)[]\n",
    "hull = Jarvis(points2)[0]\n",
    "with open('hull.txt', 'w') as file:\n",
    "    file.write(\"\\n\".join(str(point) for point in hull))"
   ]
  },
  {
   "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": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}