T6 - 2 - Clustering - Clustering Jerárquico.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Clustering jerárquico y dendrogramas\n",
    "Antes de empezar, pongamos un poco de notación para hablar todos el mismo idioma\n",
    "\n",
    "* X dataset (array de n x m) de puntos a clusterizar\n",
    "* n número de datos\n",
    "* m número de rasgos \n",
    "* Z array de enlace del cluster con la información de las uniones\n",
    "* k número de clusters\n",
    "\n",
    "\n",
    "Al ser un clustering jerárquico, no necesita conocer el número de clústers en los que va a quedar clasificado todo el dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from scipy.cluster.hierarchy import dendrogram,linkage\n",
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(4711)\n",
    "a=np.random.multivariate_normal([10,0],[[3,1],[1,4]],size=[100,])\n",
    "b=np.random.multivariate_normal([0,20],[[3,1],[1,4]],size=[50,])\n",
    "X=np.concatenate((a,b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150, 2)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fd321b38c88>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.scatter(X[:,0],X[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "Z=linkage(X,method=\"ward\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.cluster.hierarchy import cophenet\n",
    "from scipy.spatial.distance import pdist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "c,coph_dist=cophenet(Z,pdist(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9800148387574268"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Cuanto más cerca está a 1** se entiende que las distancias son más similares a las originales. Algo que es positivo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([5.20000000e+01, 5.30000000e+01, 4.15105485e-02, 2.00000000e+00])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.40000000e+01, 7.90000000e+01, 5.91375926e-02, 2.00000000e+00])"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5.20000000e+01, 5.30000000e+01, 4.15105485e-02, 2.00000000e+00],\n",
       "       [1.40000000e+01, 7.90000000e+01, 5.91375926e-02, 2.00000000e+00],\n",
       "       [3.30000000e+01, 6.80000000e+01, 7.10677929e-02, 2.00000000e+00],\n",
       "       [1.70000000e+01, 7.30000000e+01, 7.13712071e-02, 2.00000000e+00],\n",
       "       [1.00000000e+00, 8.00000000e+00, 7.54313099e-02, 2.00000000e+00],\n",
       "       [8.50000000e+01, 9.50000000e+01, 1.09277896e-01, 2.00000000e+00],\n",
       "       [1.08000000e+02, 1.31000000e+02, 1.10071548e-01, 2.00000000e+00],\n",
       "       [9.00000000e+00, 6.60000000e+01, 1.13022407e-01, 2.00000000e+00],\n",
       "       [1.50000000e+01, 6.90000000e+01, 1.14289714e-01, 2.00000000e+00],\n",
       "       [6.30000000e+01, 9.80000000e+01, 1.21200766e-01, 2.00000000e+00],\n",
       "       [1.07000000e+02, 1.15000000e+02, 1.21671017e-01, 2.00000000e+00],\n",
       "       [6.50000000e+01, 7.40000000e+01, 1.24900190e-01, 2.00000000e+00],\n",
       "       [5.80000000e+01, 6.10000000e+01, 1.40277358e-01, 2.00000000e+00],\n",
       "       [6.20000000e+01, 1.52000000e+02, 1.72599535e-01, 3.00000000e+00],\n",
       "       [4.10000000e+01, 1.58000000e+02, 1.77901377e-01, 3.00000000e+00],\n",
       "       [1.00000000e+01, 8.30000000e+01, 1.86354938e-01, 2.00000000e+00],\n",
       "       [1.14000000e+02, 1.39000000e+02, 2.04186147e-01, 2.00000000e+00],\n",
       "       [3.90000000e+01, 8.80000000e+01, 2.06282849e-01, 2.00000000e+00],\n",
       "       [7.00000000e+01, 9.60000000e+01, 2.19312547e-01, 2.00000000e+00],\n",
       "       [4.60000000e+01, 5.00000000e+01, 2.20492804e-01, 2.00000000e+00]])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z[:20]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Para encontrar el cluster #157"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 9.        , 66.        ,  0.11302241,  2.        ])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z[157-len(X)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[33, 62, 68]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "idx=[33,62,68]\n",
    "idx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
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       "\n",
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       "\n",
       "\n",
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       "\n",
       "\n",
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       "    };\n",
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       "\n",
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       "    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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fd321aff8d0>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.scatter(X[:,0],X[:,1])\n",
    "plt.scatter(X[idx,0],X[idx,1],c='r')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Representación gráfica del Dendograma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": [
    "%matplotlib notebook\n",
    "plt.figure()\n",
    "plt.title(\"Dendograma para el clustering jerárquico\")\n",
    "plt.xlabel('ID de los usuarios')\n",
    "plt.ylabel(\"Distancia\")\n",
    "dendrogram(Z,leaf_rotation=90,leaf_font_size=7,color_threshold=0.7*180)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "las líneas horizontales marcan uniones de clusters y las verticales los elementos que lo componen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[290.        , 294.        ,  15.11533118,  76.        ],\n",
       "       [287.        , 292.        ,  17.11527362,  50.        ],\n",
       "       [293.        , 295.        ,  23.12198936, 100.        ],\n",
       "       [296.        , 297.        , 180.27043021, 150.        ]])"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z[-4:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Truncar el dendograma"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Algunas funcionalidades del método de dendograma:\n",
    "\n",
    "* color_threshold: A partir del valor (distancia) que se le indique, se dividirá el dataset en esos clusters con colores específicos. Por defecto es el 70% de la distancia máxima.\n",
    "\n",
    "* truncate_mod: Resume el dendograma según el método indicado, con lastp y un valor de p dado se muestran los últimos p clusters.\n",
    "\n",
    "* show_leaf_counts: Oculta o activa el número de elementos en cada cluster.\n",
    "\n",
    "* show_contracted: Muestra u oculta un símbolo que marca la cantidad en cada cluster."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "plt.figure()\n",
    "plt.title(\"Dendograma para el clustering jerárquico truncado\")\n",
    "plt.xlabel('ID de los usuarios')\n",
    "plt.ylabel(\"Distancia\")\n",
    "dendrogram(Z,leaf_rotation=90,leaf_font_size=7,color_threshold=0.7*180,truncate_mode=\"lastp\",\n",
    "           p=12,show_leaf_counts=True,show_contracted=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Siempre hay n-1 uniones siendo n el número de datos?**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dendograma personalizado"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dendogram_tune(*args,**kwargs):\n",
    "    max_d=kwargs.pop(\"max_d\",None)\n",
    "    if max_d and 'color_threshold' not in kwargs:\n",
    "        kwargs['color_threshold']=max_d\n",
    "    annotate_above=kwargs.pop('annotate_above',0)\n",
    "    \n",
    "    \n",
    "    ddata=dendrogram(*args,**kwargs)\n",
    "    \n",
    "#     print(ddata) #CRear una utabla\n",
    "    \n",
    "    if not kwargs.get('no_plot',False):\n",
    "        plt.title(\"Dendograma para el clustering jerárquico truncado\")\n",
    "        plt.xlabel('ID de los usuarios (o tamaño del cluster)')\n",
    "        plt.ylabel(\"Distancia\")\n",
    "        for i,d,c in zip(ddata['icoord'],ddata['dcoord'],ddata['color_list']):\n",
    "            x=0.5*sum(i[1:3])\n",
    "            y=d[1]\n",
    "            if y>annotate_above:\n",
    "                plt.plot(x,y,'o',c=c)\n",
    "                plt.annotate('%.3g'%y,(x,y),xytext=(0,-5),textcoords=\"offset points\",va='top',ha='center')\n",
    "                \n",
    "    if max_d:\n",
    "        plt.axhline(y=max_d,c='k')\n",
    "        \n",
    "    return ddata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "dendogram_tune(Z,truncate_mode='lastp',p=12,leaf_rotation=90,leaf_font_size=8,show_contracted=True,\n",
    "               annotate_above=10,max_d=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{equation}\n",
    "inconsistency_{i}=\\frac{h_{i}-\\overline{h_{j}}}{std(h_{j})}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "La profundidad indica cuántos clusters se utlizan para calular la media y estandarizar las alturas."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.cluster.hierarchy import inconsistent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "cell_style": "center"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.80874989,  2.17061644, 10.        ,  2.44276733],\n",
       "       [ 2.31731998,  2.19649179, 16.        ,  2.52742372],\n",
       "       [ 2.24511599,  2.44225327,  9.        ,  2.37659088],\n",
       "       [ 2.30462321,  2.44191287, 21.        ,  2.6387508 ],\n",
       "       [ 2.20673283,  2.68378067, 17.        ,  2.84581581],\n",
       "       [ 1.95309037,  2.58100378, 29.        ,  4.05821033],\n",
       "       [ 3.46173275,  3.53735716, 28.        ,  3.29443647],\n",
       "       [ 3.15857131,  3.54836284, 28.        ,  3.93327935],\n",
       "       [ 4.90210137,  5.10301603, 28.        ,  3.57041559],\n",
       "       [12.12200256, 32.15467931, 30.        ,  5.22936105]])"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "depth=5 \n",
    "incons=inconsistent(Z,depth)\n",
    "incons[-10:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "El problema es que las últimas uniones no siguen una distribución normal donde se pueda obtener una buena estandarización. Conforme se avanza en las distancias (se vuelven más grandes), pasarán estos valores a ser outliers respecto a las primeras distancias que están mas juntas."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Método del codo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[180.27043021  23.12198936  17.11527362  15.11533118  12.42734657\n",
      "   9.84427829   8.74822275   8.04935282   7.86878542   7.11106083] \n",
      "\n",
      "El número óptimo de clusters es: 2\n"
     ]
    }
   ],
   "source": [
    "last=Z[-10:,2]\n",
    "last_rev=last[::-1]\n",
    "idx=np.arange(1,len(last)+1)\n",
    "plt.figure()\n",
    "plt.plot(idx,last_rev)\n",
    "print(last_rev,'\\n')\n",
    "\n",
    "acc=np.diff(last,2)\n",
    "acc_rev=acc[::-1]\n",
    "plt.plot(idx[:-2]+1,acc_rev)\n",
    "\n",
    "k=acc_rev.argmax()+2\n",
    "print('El número óptimo de clusters es: %g'%k)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Se necesita por lo menos 2 clusters para un punto a la izquierda o derecha del DataFrame. Nunca la solución será K=1 ni K=último."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": [
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fd321f31e48>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c=np.random.multivariate_normal([40,40],[[20,1],[1,30]],size=[200,])\n",
    "d=np.random.multivariate_normal([80,80],[[30,1],[1,30]],size=[200,])\n",
    "e=np.random.multivariate_normal([0,100],[[100,1],[1,100]],size=[200,])\n",
    "X2=np.concatenate((X,c,d,e),)\n",
    "plt.figure()\n",
    "plt.scatter(X2[:,0],X2[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "Z2=linkage(X2,'ward')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,8))\n",
    "dendogram_tune(Z2,truncate_mode='lastp',p=30,leaf_rotation=90,leaf_font_size=10,\n",
    "               show_contracted=True,annotate_above=40,max_d=150)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1262.52130994 1186.7588235   614.06504667  180.27043021  166.66434658\n",
      "  141.92437181   92.54599212   90.91214341   80.96733501   74.17015312] \n",
      "\n",
      "El número óptimo de clusters es: 4\n"
     ]
    }
   ],
   "source": [
    "last=Z2[-10:,2]\n",
    "last_rev=last[::-1]\n",
    "idx=np.arange(1,len(last)+1)\n",
    "plt.figure()\n",
    "plt.plot(idx,last_rev)\n",
    "print(last_rev,'\\n')\n",
    "\n",
    "acc=np.diff(last,2)\n",
    "acc_rev=acc[::-1]\n",
    "plt.plot(idx[:-2]+1,acc_rev)\n",
    "\n",
    "k=acc_rev.argmax()+2\n",
    "print('El número óptimo de clusters es: %g'%k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 13.99221995  15.56655759  30.           3.8658472 ]\n",
      " [ 16.73940735  18.56390061  30.           3.45982932]\n",
      " [ 19.05945013  20.53210626  31.           3.49952861]\n",
      " [ 19.25573887  20.8265769   29.           3.51907342]\n",
      " [ 21.36116189  26.77659523  30.           4.50255938]\n",
      " [ 36.58100874  37.08602393  31.           3.50761079]\n",
      " [ 12.12200256  32.15467931  30.           5.22936105]\n",
      " [ 42.61369802 111.38576865  31.           5.13038026]\n",
      " [ 81.75198678 208.31582073  31.           5.30447871]\n",
      " [147.25602023 307.95700562  31.           3.62149673]]\n"
     ]
    }
   ],
   "source": [
    "print(inconsistent(Z2,5)[-10:])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Recupera los clusters y sus elementos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.cluster.hierarchy import fcluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], dtype=int32)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max_d=50\n",
    "cluster=fcluster(Z,max_d,criterion=\"distance\")\n",
    "cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3,\n",
       "       3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 3, 3,\n",
       "       3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2,\n",
       "       2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 3,\n",
       "       3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], dtype=int32)"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k=3\n",
    "cluster=fcluster(Z,k,criterion=\"maxclust\")\n",
    "cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], dtype=int32)"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fcluster(Z,8,depth=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fd321dca9b0>"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.scatter(X[:,0],X[:,1],c=cluster,cmap=\"prism\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fd321d3d550>"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max_d=170\n",
    "cluster=fcluster(Z2,max_d,criterion=\"distance\")\n",
    "cluster\n",
    "\n",
    "plt.figure()\n",
    "plt.scatter(X2[:,0],X2[:,1],c=cluster,cmap=\"brg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}