Initialization.html

<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>Initialization</title>

<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>

<style type="text/css">
    /*!
*
* Twitter Bootstrap
*
*/
/*!
 * Bootstrap v3.3.6 (http://getbootstrap.com)
 * Copyright 2011-2015 Twitter, Inc.
 * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
 */
/*! normalize.css v3.0.3 | MIT License | github.com/necolas/normalize.css */
html {
  font-family: sans-serif;
  -ms-text-size-adjust: 100%;
  -webkit-text-size-adjust: 100%;
}
body {
  margin: 0;
}
article,
aside,
details,
figcaption,
figure,
footer,
header,
hgroup,
main,
menu,
nav,
section,
summary {
  display: block;
}
audio,
canvas,
progress,
video {
  display: inline-block;
  vertical-align: baseline;
}
audio:not([controls]) {
  display: none;
  height: 0;
}
[hidden],
template {
  display: none;
}
a {
  background-color: transparent;
}
a:active,
a:hover {
  outline: 0;
}
abbr[title] {
  border-bottom: 1px dotted;
}
b,
strong {
  font-weight: bold;
}
dfn {
  font-style: italic;
}
h1 {
  font-size: 2em;
  margin: 0.67em 0;
}
mark {
  background: #ff0;
  color: #000;
}
small {
  font-size: 80%;
}
sub,
sup {
  font-size: 75%;
  line-height: 0;
  position: relative;
  vertical-align: baseline;
}
sup {
  top: -0.5em;
}
sub {
  bottom: -0.25em;
}
img {
  border: 0;
}
svg:not(:root) {
  overflow: hidden;
}
figure {
  margin: 1em 40px;
}
hr {
  box-sizing: content-box;
  height: 0;
}
pre {
  overflow: auto;
}
code,
kbd,
pre,
samp {
  font-family: monospace, monospace;
  font-size: 1em;
}
button,
input,
optgroup,
select,
textarea {
  color: inherit;
  font: inherit;
  margin: 0;
}
button {
  overflow: visible;
}
button,
select {
  text-transform: none;
}
button,
html input[type="button"],
input[type="reset"],
input[type="submit"] {
  -webkit-appearance: button;
  cursor: pointer;
}
button[disabled],
html input[disabled] {
  cursor: default;
}
button::-moz-focus-inner,
input::-moz-focus-inner {
  border: 0;
  padding: 0;
}
input {
  line-height: normal;
}
input[type="checkbox"],
input[type="radio"] {
  box-sizing: border-box;
  padding: 0;
}
input[type="number"]::-webkit-inner-spin-button,
input[type="number"]::-webkit-outer-spin-button {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: textfield;
  box-sizing: content-box;
}
input[type="search"]::-webkit-search-cancel-button,
input[type="search"]::-webkit-search-decoration {
  -webkit-appearance: none;
}
fieldset {
  border: 1px solid #c0c0c0;
  margin: 0 2px;
  padding: 0.35em 0.625em 0.75em;
}
legend {
  border: 0;
  padding: 0;
}
textarea {
  overflow: auto;
}
optgroup {
  font-weight: bold;
}
table {
  border-collapse: collapse;
  border-spacing: 0;
}
td,
th {
  padding: 0;
}
/*! Source: https://github.com/h5bp/html5-boilerplate/blob/master/src/css/main.css */
@media print {
  *,
  *:before,
  *:after {
    background: transparent !important;
    color: #000 !important;
    box-shadow: none !important;
    text-shadow: none !important;
  }
  a,
  a:visited {
    text-decoration: underline;
  }
  a[href]:after {
    content: " (" attr(href) ")";
  }
  abbr[title]:after {
    content: " (" attr(title) ")";
  }
  a[href^="#"]:after,
  a[href^="javascript:"]:after {
    content: "";
  }
  pre,
  blockquote {
    border: 1px solid #999;
    page-break-inside: avoid;
  }
  thead {
    display: table-header-group;
  }
  tr,
  img {
    page-break-inside: avoid;
  }
  img {
    max-width: 100% !important;
  }
  p,
  h2,
  h3 {
    orphans: 3;
    widows: 3;
  }
  h2,
  h3 {
    page-break-after: avoid;
  }
  .navbar {
    display: none;
  }
  .btn > .caret,
  .dropup > .btn > .caret {
    border-top-color: #000 !important;
  }
  .label {
    border: 1px solid #000;
  }
  .table {
    border-collapse: collapse !important;
  }
  .table td,
  .table th {
    background-color: #fff !important;
  }
  .table-bordered th,
  .table-bordered td {
    border: 1px solid #ddd !important;
  }
}
@font-face {
  font-family: 'Glyphicons Halflings';
  src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot');
  src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot?#iefix') format('embedded-opentype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff2') format('woff2'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff') format('woff'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.ttf') format('truetype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.svg#glyphicons_halflingsregular') format('svg');
}
.glyphicon {
  position: relative;
  top: 1px;
  display: inline-block;
  font-family: 'Glyphicons Halflings';
  font-style: normal;
  font-weight: normal;
  line-height: 1;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
.glyphicon-asterisk:before {
  content: "\002a";
}
.glyphicon-plus:before {
  content: "\002b";
}
.glyphicon-euro:before,
.glyphicon-eur:before {
  content: "\20ac";
}
.glyphicon-minus:before {
  content: "\2212";
}
.glyphicon-cloud:before {
  content: "\2601";
}
.glyphicon-envelope:before {
  content: "\2709";
}
.glyphicon-pencil:before {
  content: "\270f";
}
.glyphicon-glass:before {
  content: "\e001";
}
.glyphicon-music:before {
  content: "\e002";
}
.glyphicon-search:before {
  content: "\e003";
}
.glyphicon-heart:before {
  content: "\e005";
}
.glyphicon-star:before {
  content: "\e006";
}
.glyphicon-star-empty:before {
  content: "\e007";
}
.glyphicon-user:before {
  content: "\e008";
}
.glyphicon-film:before {
  content: "\e009";
}
.glyphicon-th-large:before {
  content: "\e010";
}
.glyphicon-th:before {
  content: "\e011";
}
.glyphicon-th-list:before {
  content: "\e012";
}
.glyphicon-ok:before {
  content: "\e013";
}
.glyphicon-remove:before {
  content: "\e014";
}
.glyphicon-zoom-in:before {
  content: "\e015";
}
.glyphicon-zoom-out:before {
  content: "\e016";
}
.glyphicon-off:before {
  content: "\e017";
}
.glyphicon-signal:before {
  content: "\e018";
}
.glyphicon-cog:before {
  content: "\e019";
}
.glyphicon-trash:before {
  content: "\e020";
}
.glyphicon-home:before {
  content: "\e021";
}
.glyphicon-file:before {
  content: "\e022";
}
.glyphicon-time:before {
  content: "\e023";
}
.glyphicon-road:before {
  content: "\e024";
}
.glyphicon-download-alt:before {
  content: "\e025";
}
.glyphicon-download:before {
  content: "\e026";
}
.glyphicon-upload:before {
  content: "\e027";
}
.glyphicon-inbox:before {
  content: "\e028";
}
.glyphicon-play-circle:before {
  content: "\e029";
}
.glyphicon-repeat:before {
  content: "\e030";
}
.glyphicon-refresh:before {
  content: "\e031";
}
.glyphicon-list-alt:before {
  content: "\e032";
}
.glyphicon-lock:before {
  content: "\e033";
}
.glyphicon-flag:before {
  content: "\e034";
}
.glyphicon-headphones:before {
  content: "\e035";
}
.glyphicon-volume-off:before {
  content: "\e036";
}
.glyphicon-volume-down:before {
  content: "\e037";
}
.glyphicon-volume-up:before {
  content: "\e038";
}
.glyphicon-qrcode:before {
  content: "\e039";
}
.glyphicon-barcode:before {
  content: "\e040";
}
.glyphicon-tag:before {
  content: "\e041";
}
.glyphicon-tags:before {
  content: "\e042";
}
.glyphicon-book:before {
  content: "\e043";
}
.glyphicon-bookmark:before {
  content: "\e044";
}
.glyphicon-print:before {
  content: "\e045";
}
.glyphicon-camera:before {
  content: "\e046";
}
.glyphicon-font:before {
  content: "\e047";
}
.glyphicon-bold:before {
  content: "\e048";
}
.glyphicon-italic:before {
  content: "\e049";
}
.glyphicon-text-height:before {
  content: "\e050";
}
.glyphicon-text-width:before {
  content: "\e051";
}
.glyphicon-align-left:before {
  content: "\e052";
}
.glyphicon-align-center:before {
  content: "\e053";
}
.glyphicon-align-right:before {
  content: "\e054";
}
.glyphicon-align-justify:before {
  content: "\e055";
}
.glyphicon-list:before {
  content: "\e056";
}
.glyphicon-indent-left:before {
  content: "\e057";
}
.glyphicon-indent-right:before {
  content: "\e058";
}
.glyphicon-facetime-video:before {
  content: "\e059";
}
.glyphicon-picture:before {
  content: "\e060";
}
.glyphicon-map-marker:before {
  content: "\e062";
}
.glyphicon-adjust:before {
  content: "\e063";
}
.glyphicon-tint:before {
  content: "\e064";
}
.glyphicon-edit:before {
  content: "\e065";
}
.glyphicon-share:before {
  content: "\e066";
}
.glyphicon-check:before {
  content: "\e067";
}
.glyphicon-move:before {
  content: "\e068";
}
.glyphicon-step-backward:before {
  content: "\e069";
}
.glyphicon-fast-backward:before {
  content: "\e070";
}
.glyphicon-backward:before {
  content: "\e071";
}
.glyphicon-play:before {
  content: "\e072";
}
.glyphicon-pause:before {
  content: "\e073";
}
.glyphicon-stop:before {
  content: "\e074";
}
.glyphicon-forward:before {
  content: "\e075";
}
.glyphicon-fast-forward:before {
  content: "\e076";
}
.glyphicon-step-forward:before {
  content: "\e077";
}
.glyphicon-eject:before {
  content: "\e078";
}
.glyphicon-chevron-left:before {
  content: "\e079";
}
.glyphicon-chevron-right:before {
  content: "\e080";
}
.glyphicon-plus-sign:before {
  content: "\e081";
}
.glyphicon-minus-sign:before {
  content: "\e082";
}
.glyphicon-remove-sign:before {
  content: "\e083";
}
.glyphicon-ok-sign:before {
  content: "\e084";
}
.glyphicon-question-sign:before {
  content: "\e085";
}
.glyphicon-info-sign:before {
  content: "\e086";
}
.glyphicon-screenshot:before {
  content: "\e087";
}
.glyphicon-remove-circle:before {
  content: "\e088";
}
.glyphicon-ok-circle:before {
  content: "\e089";
}
.glyphicon-ban-circle:before {
  content: "\e090";
}
.glyphicon-arrow-left:before {
  content: "\e091";
}
.glyphicon-arrow-right:before {
  content: "\e092";
}
.glyphicon-arrow-up:before {
  content: "\e093";
}
.glyphicon-arrow-down:before {
  content: "\e094";
}
.glyphicon-share-alt:before {
  content: "\e095";
}
.glyphicon-resize-full:before {
  content: "\e096";
}
.glyphicon-resize-small:before {
  content: "\e097";
}
.glyphicon-exclamation-sign:before {
  content: "\e101";
}
.glyphicon-gift:before {
  content: "\e102";
}
.glyphicon-leaf:before {
  content: "\e103";
}
.glyphicon-fire:before {
  content: "\e104";
}
.glyphicon-eye-open:before {
  content: "\e105";
}
.glyphicon-eye-close:before {
  content: "\e106";
}
.glyphicon-warning-sign:before {
  content: "\e107";
}
.glyphicon-plane:before {
  content: "\e108";
}
.glyphicon-calendar:before {
  content: "\e109";
}
.glyphicon-random:before {
  content: "\e110";
}
.glyphicon-comment:before {
  content: "\e111";
}
.glyphicon-magnet:before {
  content: "\e112";
}
.glyphicon-chevron-up:before {
  content: "\e113";
}
.glyphicon-chevron-down:before {
  content: "\e114";
}
.glyphicon-retweet:before {
  content: "\e115";
}
.glyphicon-shopping-cart:before {
  content: "\e116";
}
.glyphicon-folder-close:before {
  content: "\e117";
}
.glyphicon-folder-open:before {
  content: "\e118";
}
.glyphicon-resize-vertical:before {
  content: "\e119";
}
.glyphicon-resize-horizontal:before {
  content: "\e120";
}
.glyphicon-hdd:before {
  content: "\e121";
}
.glyphicon-bullhorn:before {
  content: "\e122";
}
.glyphicon-bell:before {
  content: "\e123";
}
.glyphicon-certificate:before {
  content: "\e124";
}
.glyphicon-thumbs-up:before {
  content: "\e125";
}
.glyphicon-thumbs-down:before {
  content: "\e126";
}
.glyphicon-hand-right:before {
  content: "\e127";
}
.glyphicon-hand-left:before {
  content: "\e128";
}
.glyphicon-hand-up:before {
  content: "\e129";
}
.glyphicon-hand-down:before {
  content: "\e130";
}
.glyphicon-circle-arrow-right:before {
  content: "\e131";
}
.glyphicon-circle-arrow-left:before {
  content: "\e132";
}
.glyphicon-circle-arrow-up:before {
  content: "\e133";
}
.glyphicon-circle-arrow-down:before {
  content: "\e134";
}
.glyphicon-globe:before {
  content: "\e135";
}
.glyphicon-wrench:before {
  content: "\e136";
}
.glyphicon-tasks:before {
  content: "\e137";
}
.glyphicon-filter:before {
  content: "\e138";
}
.glyphicon-briefcase:before {
  content: "\e139";
}
.glyphicon-fullscreen:before {
  content: "\e140";
}
.glyphicon-dashboard:before {
  content: "\e141";
}
.glyphicon-paperclip:before {
  content: "\e142";
}
.glyphicon-heart-empty:before {
  content: "\e143";
}
.glyphicon-link:before {
  content: "\e144";
}
.glyphicon-phone:before {
  content: "\e145";
}
.glyphicon-pushpin:before {
  content: "\e146";
}
.glyphicon-usd:before {
  content: "\e148";
}
.glyphicon-gbp:before {
  content: "\e149";
}
.glyphicon-sort:before {
  content: "\e150";
}
.glyphicon-sort-by-alphabet:before {
  content: "\e151";
}
.glyphicon-sort-by-alphabet-alt:before {
  content: "\e152";
}
.glyphicon-sort-by-order:before {
  content: "\e153";
}
.glyphicon-sort-by-order-alt:before {
  content: "\e154";
}
.glyphicon-sort-by-attributes:before {
  content: "\e155";
}
.glyphicon-sort-by-attributes-alt:before {
  content: "\e156";
}
.glyphicon-unchecked:before {
  content: "\e157";
}
.glyphicon-expand:before {
  content: "\e158";
}
.glyphicon-collapse-down:before {
  content: "\e159";
}
.glyphicon-collapse-up:before {
  content: "\e160";
}
.glyphicon-log-in:before {
  content: "\e161";
}
.glyphicon-flash:before {
  content: "\e162";
}
.glyphicon-log-out:before {
  content: "\e163";
}
.glyphicon-new-window:before {
  content: "\e164";
}
.glyphicon-record:before {
  content: "\e165";
}
.glyphicon-save:before {
  content: "\e166";
}
.glyphicon-open:before {
  content: "\e167";
}
.glyphicon-saved:before {
  content: "\e168";
}
.glyphicon-import:before {
  content: "\e169";
}
.glyphicon-export:before {
  content: "\e170";
}
.glyphicon-send:before {
  content: "\e171";
}
.glyphicon-floppy-disk:before {
  content: "\e172";
}
.glyphicon-floppy-saved:before {
  content: "\e173";
}
.glyphicon-floppy-remove:before {
  content: "\e174";
}
.glyphicon-floppy-save:before {
  content: "\e175";
}
.glyphicon-floppy-open:before {
  content: "\e176";
}
.glyphicon-credit-card:before {
  content: "\e177";
}
.glyphicon-transfer:before {
  content: "\e178";
}
.glyphicon-cutlery:before {
  content: "\e179";
}
.glyphicon-header:before {
  content: "\e180";
}
.glyphicon-compressed:before {
  content: "\e181";
}
.glyphicon-earphone:before {
  content: "\e182";
}
.glyphicon-phone-alt:before {
  content: "\e183";
}
.glyphicon-tower:before {
  content: "\e184";
}
.glyphicon-stats:before {
  content: "\e185";
}
.glyphicon-sd-video:before {
  content: "\e186";
}
.glyphicon-hd-video:before {
  content: "\e187";
}
.glyphicon-subtitles:before {
  content: "\e188";
}
.glyphicon-sound-stereo:before {
  content: "\e189";
}
.glyphicon-sound-dolby:before {
  content: "\e190";
}
.glyphicon-sound-5-1:before {
  content: "\e191";
}
.glyphicon-sound-6-1:before {
  content: "\e192";
}
.glyphicon-sound-7-1:before {
  content: "\e193";
}
.glyphicon-copyright-mark:before {
  content: "\e194";
}
.glyphicon-registration-mark:before {
  content: "\e195";
}
.glyphicon-cloud-download:before {
  content: "\e197";
}
.glyphicon-cloud-upload:before {
  content: "\e198";
}
.glyphicon-tree-conifer:before {
  content: "\e199";
}
.glyphicon-tree-deciduous:before {
  content: "\e200";
}
.glyphicon-cd:before {
  content: "\e201";
}
.glyphicon-save-file:before {
  content: "\e202";
}
.glyphicon-open-file:before {
  content: "\e203";
}
.glyphicon-level-up:before {
  content: "\e204";
}
.glyphicon-copy:before {
  content: "\e205";
}
.glyphicon-paste:before {
  content: "\e206";
}
.glyphicon-alert:before {
  content: "\e209";
}
.glyphicon-equalizer:before {
  content: "\e210";
}
.glyphicon-king:before {
  content: "\e211";
}
.glyphicon-queen:before {
  content: "\e212";
}
.glyphicon-pawn:before {
  content: "\e213";
}
.glyphicon-bishop:before {
  content: "\e214";
}
.glyphicon-knight:before {
  content: "\e215";
}
.glyphicon-baby-formula:before {
  content: "\e216";
}
.glyphicon-tent:before {
  content: "\26fa";
}
.glyphicon-blackboard:before {
  content: "\e218";
}
.glyphicon-bed:before {
  content: "\e219";
}
.glyphicon-apple:before {
  content: "\f8ff";
}
.glyphicon-erase:before {
  content: "\e221";
}
.glyphicon-hourglass:before {
  content: "\231b";
}
.glyphicon-lamp:before {
  content: "\e223";
}
.glyphicon-duplicate:before {
  content: "\e224";
}
.glyphicon-piggy-bank:before {
  content: "\e225";
}
.glyphicon-scissors:before {
  content: "\e226";
}
.glyphicon-bitcoin:before {
  content: "\e227";
}
.glyphicon-btc:before {
  content: "\e227";
}
.glyphicon-xbt:before {
  content: "\e227";
}
.glyphicon-yen:before {
  content: "\00a5";
}
.glyphicon-jpy:before {
  content: "\00a5";
}
.glyphicon-ruble:before {
  content: "\20bd";
}
.glyphicon-rub:before {
  content: "\20bd";
}
.glyphicon-scale:before {
  content: "\e230";
}
.glyphicon-ice-lolly:before {
  content: "\e231";
}
.glyphicon-ice-lolly-tasted:before {
  content: "\e232";
}
.glyphicon-education:before {
  content: "\e233";
}
.glyphicon-option-horizontal:before {
  content: "\e234";
}
.glyphicon-option-vertical:before {
  content: "\e235";
}
.glyphicon-menu-hamburger:before {
  content: "\e236";
}
.glyphicon-modal-window:before {
  content: "\e237";
}
.glyphicon-oil:before {
  content: "\e238";
}
.glyphicon-grain:before {
  content: "\e239";
}
.glyphicon-sunglasses:before {
  content: "\e240";
}
.glyphicon-text-size:before {
  content: "\e241";
}
.glyphicon-text-color:before {
  content: "\e242";
}
.glyphicon-text-background:before {
  content: "\e243";
}
.glyphicon-object-align-top:before {
  content: "\e244";
}
.glyphicon-object-align-bottom:before {
  content: "\e245";
}
.glyphicon-object-align-horizontal:before {
  content: "\e246";
}
.glyphicon-object-align-left:before {
  content: "\e247";
}
.glyphicon-object-align-vertical:before {
  content: "\e248";
}
.glyphicon-object-align-right:before {
  content: "\e249";
}
.glyphicon-triangle-right:before {
  content: "\e250";
}
.glyphicon-triangle-left:before {
  content: "\e251";
}
.glyphicon-triangle-bottom:before {
  content: "\e252";
}
.glyphicon-triangle-top:before {
  content: "\e253";
}
.glyphicon-console:before {
  content: "\e254";
}
.glyphicon-superscript:before {
  content: "\e255";
}
.glyphicon-subscript:before {
  content: "\e256";
}
.glyphicon-menu-left:before {
  content: "\e257";
}
.glyphicon-menu-right:before {
  content: "\e258";
}
.glyphicon-menu-down:before {
  content: "\e259";
}
.glyphicon-menu-up:before {
  content: "\e260";
}
* {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
*:before,
*:after {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
html {
  font-size: 10px;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 13px;
  line-height: 1.42857143;
  color: #000;
  background-color: #fff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #337ab7;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #23527c;
  text-decoration: underline;
}
a:focus {
  outline: thin dotted;
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
figure {
  margin: 0;
}
img {
  vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  display: block;
  max-width: 100%;
  height: auto;
}
.img-rounded {
  border-radius: 3px;
}
.img-thumbnail {
  padding: 4px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: all 0.2s ease-in-out;
  -o-transition: all 0.2s ease-in-out;
  transition: all 0.2s ease-in-out;
  display: inline-block;
  max-width: 100%;
  height: auto;
}
.img-circle {
  border-radius: 50%;
}
hr {
  margin-top: 18px;
  margin-bottom: 18px;
  border: 0;
  border-top: 1px solid #eeeeee;
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  margin: -1px;
  padding: 0;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
[role="button"] {
  cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
  font-family: inherit;
  font-weight: 500;
  line-height: 1.1;
  color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
  font-weight: normal;
  line-height: 1;
  color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
  margin-top: 18px;
  margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
  font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
  margin-top: 9px;
  margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
  font-size: 75%;
}
h1,
.h1 {
  font-size: 33px;
}
h2,
.h2 {
  font-size: 27px;
}
h3,
.h3 {
  font-size: 23px;
}
h4,
.h4 {
  font-size: 17px;
}
h5,
.h5 {
  font-size: 13px;
}
h6,
.h6 {
  font-size: 12px;
}
p {
  margin: 0 0 9px;
}
.lead {
  margin-bottom: 18px;
  font-size: 14px;
  font-weight: 300;
  line-height: 1.4;
}
@media (min-width: 768px) {
  .lead {
    font-size: 19.5px;
  }
}
small,
.small {
  font-size: 92%;
}
mark,
.mark {
  background-color: #fcf8e3;
  padding: .2em;
}
.text-left {
  text-align: left;
}
.text-right {
  text-align: right;
}
.text-center {
  text-align: center;
}
.text-justify {
  text-align: justify;
}
.text-nowrap {
  white-space: nowrap;
}
.text-lowercase {
  text-transform: lowercase;
}
.text-uppercase {
  text-transform: uppercase;
}
.text-capitalize {
  text-transform: capitalize;
}
.text-muted {
  color: #777777;
}
.text-primary {
  color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
  color: #286090;
}
.text-success {
  color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
  color: #2b542c;
}
.text-info {
  color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
  color: #245269;
}
.text-warning {
  color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
  color: #66512c;
}
.text-danger {
  color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
  color: #843534;
}
.bg-primary {
  color: #fff;
  background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
  background-color: #286090;
}
.bg-success {
  background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
  background-color: #c1e2b3;
}
.bg-info {
  background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
  background-color: #afd9ee;
}
.bg-warning {
  background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
  background-color: #f7ecb5;
}
.bg-danger {
  background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
  background-color: #e4b9b9;
}
.page-header {
  padding-bottom: 8px;
  margin: 36px 0 18px;
  border-bottom: 1px solid #eeeeee;
}
ul,
ol {
  margin-top: 0;
  margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
  margin-bottom: 0;
}
.list-unstyled {
  padding-left: 0;
  list-style: none;
}
.list-inline {
  padding-left: 0;
  list-style: none;
  margin-left: -5px;
}
.list-inline > li {
  display: inline-block;
  padding-left: 5px;
  padding-right: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: bold;
}
dd {
  margin-left: 0;
}
@media (min-width: 541px) {
  .dl-horizontal dt {
    float: left;
    width: 160px;
    clear: left;
    text-align: right;
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
  }
  .dl-horizontal dd {
    margin-left: 180px;
  }
}
abbr[title],
abbr[data-original-title] {
  cursor: help;
  border-bottom: 1px dotted #777777;
}
.initialism {
  font-size: 90%;
  text-transform: uppercase;
}
blockquote {
  padding: 9px 18px;
  margin: 0 0 18px;
  font-size: inherit;
  border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
  margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
  display: block;
  font-size: 80%;
  line-height: 1.42857143;
  color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
  content: '\2014 \00A0';
}
.blockquote-reverse,
blockquote.pull-right {
  padding-right: 15px;
  padding-left: 0;
  border-right: 5px solid #eeeeee;
  border-left: 0;
  text-align: right;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
  content: '';
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
  content: '\00A0 \2014';
}
address {
  margin-bottom: 18px;
  font-style: normal;
  line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
  font-family: monospace;
}
code {
  padding: 2px 4px;
  font-size: 90%;
  color: #c7254e;
  background-color: #f9f2f4;
  border-radius: 2px;
}
kbd {
  padding: 2px 4px;
  font-size: 90%;
  color: #888;
  background-color: transparent;
  border-radius: 1px;
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
  padding: 0;
  font-size: 100%;
  font-weight: bold;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  word-break: break-all;
  word-wrap: break-word;
  color: #333333;
  background-color: #f5f5f5;
  border: 1px solid #ccc;
  border-radius: 2px;
}
pre code {
  padding: 0;
  font-size: inherit;
  color: inherit;
  white-space: pre-wrap;
  background-color: transparent;
  border-radius: 0;
}
.pre-scrollable {
  max-height: 340px;
  overflow-y: scroll;
}
.container {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
.row {
  margin-left: 0px;
  margin-right: 0px;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
  position: relative;
  min-height: 1px;
  padding-left: 0px;
  padding-right: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
  float: left;
}
.col-xs-12 {
  width: 100%;
}
.col-xs-11 {
  width: 91.66666667%;
}
.col-xs-10 {
  width: 83.33333333%;
}
.col-xs-9 {
  width: 75%;
}
.col-xs-8 {
  width: 66.66666667%;
}
.col-xs-7 {
  width: 58.33333333%;
}
.col-xs-6 {
  width: 50%;
}
.col-xs-5 {
  width: 41.66666667%;
}
.col-xs-4 {
  width: 33.33333333%;
}
.col-xs-3 {
  width: 25%;
}
.col-xs-2 {
  width: 16.66666667%;
}
.col-xs-1 {
  width: 8.33333333%;
}
.col-xs-pull-12 {
  right: 100%;
}
.col-xs-pull-11 {
  right: 91.66666667%;
}
.col-xs-pull-10 {
  right: 83.33333333%;
}
.col-xs-pull-9 {
  right: 75%;
}
.col-xs-pull-8 {
  right: 66.66666667%;
}
.col-xs-pull-7 {
  right: 58.33333333%;
}
.col-xs-pull-6 {
  right: 50%;
}
.col-xs-pull-5 {
  right: 41.66666667%;
}
.col-xs-pull-4 {
  right: 33.33333333%;
}
.col-xs-pull-3 {
  right: 25%;
}
.col-xs-pull-2 {
  right: 16.66666667%;
}
.col-xs-pull-1 {
  right: 8.33333333%;
}
.col-xs-pull-0 {
  right: auto;
}
.col-xs-push-12 {
  left: 100%;
}
.col-xs-push-11 {
  left: 91.66666667%;
}
.col-xs-push-10 {
  left: 83.33333333%;
}
.col-xs-push-9 {
  left: 75%;
}
.col-xs-push-8 {
  left: 66.66666667%;
}
.col-xs-push-7 {
  left: 58.33333333%;
}
.col-xs-push-6 {
  left: 50%;
}
.col-xs-push-5 {
  left: 41.66666667%;
}
.col-xs-push-4 {
  left: 33.33333333%;
}
.col-xs-push-3 {
  left: 25%;
}
.col-xs-push-2 {
  left: 16.66666667%;
}
.col-xs-push-1 {
  left: 8.33333333%;
}
.col-xs-push-0 {
  left: auto;
}
.col-xs-offset-12 {
  margin-left: 100%;
}
.col-xs-offset-11 {
  margin-left: 91.66666667%;
}
.col-xs-offset-10 {
  margin-left: 83.33333333%;
}
.col-xs-offset-9 {
  margin-left: 75%;
}
.col-xs-offset-8 {
  margin-left: 66.66666667%;
}
.col-xs-offset-7 {
  margin-left: 58.33333333%;
}
.col-xs-offset-6 {
  margin-left: 50%;
}
.col-xs-offset-5 {
  margin-left: 41.66666667%;
}
.col-xs-offset-4 {
  margin-left: 33.33333333%;
}
.col-xs-offset-3 {
  margin-left: 25%;
}
.col-xs-offset-2 {
  margin-left: 16.66666667%;
}
.col-xs-offset-1 {
  margin-left: 8.33333333%;
}
.col-xs-offset-0 {
  margin-left: 0%;
}
@media (min-width: 768px) {
  .col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
    float: left;
  }
  .col-sm-12 {
    width: 100%;
  }
  .col-sm-11 {
    width: 91.66666667%;
  }
  .col-sm-10 {
    width: 83.33333333%;
  }
  .col-sm-9 {
    width: 75%;
  }
  .col-sm-8 {
    width: 66.66666667%;
  }
  .col-sm-7 {
    width: 58.33333333%;
  }
  .col-sm-6 {
    width: 50%;
  }
  .col-sm-5 {
    width: 41.66666667%;
  }
  .col-sm-4 {
    width: 33.33333333%;
  }
  .col-sm-3 {
    width: 25%;
  }
  .col-sm-2 {
    width: 16.66666667%;
  }
  .col-sm-1 {
    width: 8.33333333%;
  }
  .col-sm-pull-12 {
    right: 100%;
  }
  .col-sm-pull-11 {
    right: 91.66666667%;
  }
  .col-sm-pull-10 {
    right: 83.33333333%;
  }
  .col-sm-pull-9 {
    right: 75%;
  }
  .col-sm-pull-8 {
    right: 66.66666667%;
  }
  .col-sm-pull-7 {
    right: 58.33333333%;
  }
  .col-sm-pull-6 {
    right: 50%;
  }
  .col-sm-pull-5 {
    right: 41.66666667%;
  }
  .col-sm-pull-4 {
    right: 33.33333333%;
  }
  .col-sm-pull-3 {
    right: 25%;
  }
  .col-sm-pull-2 {
    right: 16.66666667%;
  }
  .col-sm-pull-1 {
    right: 8.33333333%;
  }
  .col-sm-pull-0 {
    right: auto;
  }
  .col-sm-push-12 {
    left: 100%;
  }
  .col-sm-push-11 {
    left: 91.66666667%;
  }
  .col-sm-push-10 {
    left: 83.33333333%;
  }
  .col-sm-push-9 {
    left: 75%;
  }
  .col-sm-push-8 {
    left: 66.66666667%;
  }
  .col-sm-push-7 {
    left: 58.33333333%;
  }
  .col-sm-push-6 {
    left: 50%;
  }
  .col-sm-push-5 {
    left: 41.66666667%;
  }
  .col-sm-push-4 {
    left: 33.33333333%;
  }
  .col-sm-push-3 {
    left: 25%;
  }
  .col-sm-push-2 {
    left: 16.66666667%;
  }
  .col-sm-push-1 {
    left: 8.33333333%;
  }
  .col-sm-push-0 {
    left: auto;
  }
  .col-sm-offset-12 {
    margin-left: 100%;
  }
  .col-sm-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-sm-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-sm-offset-9 {
    margin-left: 75%;
  }
  .col-sm-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-sm-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-sm-offset-6 {
    margin-left: 50%;
  }
  .col-sm-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-sm-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-sm-offset-3 {
    margin-left: 25%;
  }
  .col-sm-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-sm-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-sm-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 992px) {
  .col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
    float: left;
  }
  .col-md-12 {
    width: 100%;
  }
  .col-md-11 {
    width: 91.66666667%;
  }
  .col-md-10 {
    width: 83.33333333%;
  }
  .col-md-9 {
    width: 75%;
  }
  .col-md-8 {
    width: 66.66666667%;
  }
  .col-md-7 {
    width: 58.33333333%;
  }
  .col-md-6 {
    width: 50%;
  }
  .col-md-5 {
    width: 41.66666667%;
  }
  .col-md-4 {
    width: 33.33333333%;
  }
  .col-md-3 {
    width: 25%;
  }
  .col-md-2 {
    width: 16.66666667%;
  }
  .col-md-1 {
    width: 8.33333333%;
  }
  .col-md-pull-12 {
    right: 100%;
  }
  .col-md-pull-11 {
    right: 91.66666667%;
  }
  .col-md-pull-10 {
    right: 83.33333333%;
  }
  .col-md-pull-9 {
    right: 75%;
  }
  .col-md-pull-8 {
    right: 66.66666667%;
  }
  .col-md-pull-7 {
    right: 58.33333333%;
  }
  .col-md-pull-6 {
    right: 50%;
  }
  .col-md-pull-5 {
    right: 41.66666667%;
  }
  .col-md-pull-4 {
    right: 33.33333333%;
  }
  .col-md-pull-3 {
    right: 25%;
  }
  .col-md-pull-2 {
    right: 16.66666667%;
  }
  .col-md-pull-1 {
    right: 8.33333333%;
  }
  .col-md-pull-0 {
    right: auto;
  }
  .col-md-push-12 {
    left: 100%;
  }
  .col-md-push-11 {
    left: 91.66666667%;
  }
  .col-md-push-10 {
    left: 83.33333333%;
  }
  .col-md-push-9 {
    left: 75%;
  }
  .col-md-push-8 {
    left: 66.66666667%;
  }
  .col-md-push-7 {
    left: 58.33333333%;
  }
  .col-md-push-6 {
    left: 50%;
  }
  .col-md-push-5 {
    left: 41.66666667%;
  }
  .col-md-push-4 {
    left: 33.33333333%;
  }
  .col-md-push-3 {
    left: 25%;
  }
  .col-md-push-2 {
    left: 16.66666667%;
  }
  .col-md-push-1 {
    left: 8.33333333%;
  }
  .col-md-push-0 {
    left: auto;
  }
  .col-md-offset-12 {
    margin-left: 100%;
  }
  .col-md-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-md-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-md-offset-9 {
    margin-left: 75%;
  }
  .col-md-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-md-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-md-offset-6 {
    margin-left: 50%;
  }
  .col-md-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-md-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-md-offset-3 {
    margin-left: 25%;
  }
  .col-md-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-md-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-md-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 1200px) {
  .col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
    float: left;
  }
  .col-lg-12 {
    width: 100%;
  }
  .col-lg-11 {
    width: 91.66666667%;
  }
  .col-lg-10 {
    width: 83.33333333%;
  }
  .col-lg-9 {
    width: 75%;
  }
  .col-lg-8 {
    width: 66.66666667%;
  }
  .col-lg-7 {
    width: 58.33333333%;
  }
  .col-lg-6 {
    width: 50%;
  }
  .col-lg-5 {
    width: 41.66666667%;
  }
  .col-lg-4 {
    width: 33.33333333%;
  }
  .col-lg-3 {
    width: 25%;
  }
  .col-lg-2 {
    width: 16.66666667%;
  }
  .col-lg-1 {
    width: 8.33333333%;
  }
  .col-lg-pull-12 {
    right: 100%;
  }
  .col-lg-pull-11 {
    right: 91.66666667%;
  }
  .col-lg-pull-10 {
    right: 83.33333333%;
  }
  .col-lg-pull-9 {
    right: 75%;
  }
  .col-lg-pull-8 {
    right: 66.66666667%;
  }
  .col-lg-pull-7 {
    right: 58.33333333%;
  }
  .col-lg-pull-6 {
    right: 50%;
  }
  .col-lg-pull-5 {
    right: 41.66666667%;
  }
  .col-lg-pull-4 {
    right: 33.33333333%;
  }
  .col-lg-pull-3 {
    right: 25%;
  }
  .col-lg-pull-2 {
    right: 16.66666667%;
  }
  .col-lg-pull-1 {
    right: 8.33333333%;
  }
  .col-lg-pull-0 {
    right: auto;
  }
  .col-lg-push-12 {
    left: 100%;
  }
  .col-lg-push-11 {
    left: 91.66666667%;
  }
  .col-lg-push-10 {
    left: 83.33333333%;
  }
  .col-lg-push-9 {
    left: 75%;
  }
  .col-lg-push-8 {
    left: 66.66666667%;
  }
  .col-lg-push-7 {
    left: 58.33333333%;
  }
  .col-lg-push-6 {
    left: 50%;
  }
  .col-lg-push-5 {
    left: 41.66666667%;
  }
  .col-lg-push-4 {
    left: 33.33333333%;
  }
  .col-lg-push-3 {
    left: 25%;
  }
  .col-lg-push-2 {
    left: 16.66666667%;
  }
  .col-lg-push-1 {
    left: 8.33333333%;
  }
  .col-lg-push-0 {
    left: auto;
  }
  .col-lg-offset-12 {
    margin-left: 100%;
  }
  .col-lg-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-lg-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-lg-offset-9 {
    margin-left: 75%;
  }
  .col-lg-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-lg-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-lg-offset-6 {
    margin-left: 50%;
  }
  .col-lg-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-lg-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-lg-offset-3 {
    margin-left: 25%;
  }
  .col-lg-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-lg-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-lg-offset-0 {
    margin-left: 0%;
  }
}
table {
  background-color: transparent;
}
caption {
  padding-top: 8px;
  padding-bottom: 8px;
  color: #777777;
  text-align: left;
}
th {
  text-align: left;
}
.table {
  width: 100%;
  max-width: 100%;
  margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
  padding: 8px;
  line-height: 1.42857143;
  vertical-align: top;
  border-top: 1px solid #ddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #ddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
  border-top: 0;
}
.table > tbody + tbody {
  border-top: 2px solid #ddd;
}
.table .table {
  background-color: #fff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
  padding: 5px;
}
.table-bordered {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
  border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
  background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
  background-color: #f5f5f5;
}
table col[class*="col-"] {
  position: static;
  float: none;
  display: table-column;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  float: none;
  display: table-cell;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
  background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
  background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
  background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
  background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
  background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
  background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
  background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
  background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
  background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
  background-color: #ebcccc;
}
.table-responsive {
  overflow-x: auto;
  min-height: 0.01%;
}
@media screen and (max-width: 767px) {
  .table-responsive {
    width: 100%;
    margin-bottom: 13.5px;
    overflow-y: hidden;
    -ms-overflow-style: -ms-autohiding-scrollbar;
    border: 1px solid #ddd;
  }
  .table-responsive > .table {
    margin-bottom: 0;
  }
  .table-responsive > .table > thead > tr > th,
  .table-responsive > .table > tbody > tr > th,
  .table-responsive > .table > tfoot > tr > th,
  .table-responsive > .table > thead > tr > td,
  .table-responsive > .table > tbody > tr > td,
  .table-responsive > .table > tfoot > tr > td {
    white-space: nowrap;
  }
  .table-responsive > .table-bordered {
    border: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:first-child,
  .table-responsive > .table-bordered > tbody > tr > th:first-child,
  .table-responsive > .table-bordered > tfoot > tr > th:first-child,
  .table-responsive > .table-bordered > thead > tr > td:first-child,
  .table-responsive > .table-bordered > tbody > tr > td:first-child,
  .table-responsive > .table-bordered > tfoot > tr > td:first-child {
    border-left: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:last-child,
  .table-responsive > .table-bordered > tbody > tr > th:last-child,
  .table-responsive > .table-bordered > tfoot > tr > th:last-child,
  .table-responsive > .table-bordered > thead > tr > td:last-child,
  .table-responsive > .table-bordered > tbody > tr > td:last-child,
  .table-responsive > .table-bordered > tfoot > tr > td:last-child {
    border-right: 0;
  }
  .table-responsive > .table-bordered > tbody > tr:last-child > th,
  .table-responsive > .table-bordered > tfoot > tr:last-child > th,
  .table-responsive > .table-bordered > tbody > tr:last-child > td,
  .table-responsive > .table-bordered > tfoot > tr:last-child > td {
    border-bottom: 0;
  }
}
fieldset {
  padding: 0;
  margin: 0;
  border: 0;
  min-width: 0;
}
legend {
  display: block;
  width: 100%;
  padding: 0;
  margin-bottom: 18px;
  font-size: 19.5px;
  line-height: inherit;
  color: #333333;
  border: 0;
  border-bottom: 1px solid #e5e5e5;
}
label {
  display: inline-block;
  max-width: 100%;
  margin-bottom: 5px;
  font-weight: bold;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
input[type="file"] {
  display: block;
}
input[type="range"] {
  display: block;
  width: 100%;
}
select[multiple],
select[size] {
  height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
  outline: thin dotted;
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
output {
  display: block;
  padding-top: 7px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
}
.form-control {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999;
}
.form-control::-webkit-input-placeholder {
  color: #999;
}
.form-control::-ms-expand {
  border: 0;
  background-color: transparent;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
  background-color: #eeeeee;
  opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
  cursor: not-allowed;
}
textarea.form-control {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: none;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
  input[type="date"].form-control,
  input[type="time"].form-control,
  input[type="datetime-local"].form-control,
  input[type="month"].form-control {
    line-height: 32px;
  }
  input[type="date"].input-sm,
  input[type="time"].input-sm,
  input[type="datetime-local"].input-sm,
  input[type="month"].input-sm,
  .input-group-sm input[type="date"],
  .input-group-sm input[type="time"],
  .input-group-sm input[type="datetime-local"],
  .input-group-sm input[type="month"] {
    line-height: 30px;
  }
  input[type="date"].input-lg,
  input[type="time"].input-lg,
  input[type="datetime-local"].input-lg,
  input[type="month"].input-lg,
  .input-group-lg input[type="date"],
  .input-group-lg input[type="time"],
  .input-group-lg input[type="datetime-local"],
  .input-group-lg input[type="month"] {
    line-height: 45px;
  }
}
.form-group {
  margin-bottom: 15px;
}
.radio,
.checkbox {
  position: relative;
  display: block;
  margin-top: 10px;
  margin-bottom: 10px;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: normal;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-left: -20px;
  margin-top: 4px \9;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  vertical-align: middle;
  font-weight: normal;
  cursor: pointer;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
  cursor: not-allowed;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.form-control-static {
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
  min-height: 31px;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-left: 0;
  padding-right: 0;
}
.input-sm {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-sm {
  height: 30px;
  line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
  height: auto;
}
.form-group-sm .form-control {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.form-group-sm select.form-control {
  height: 30px;
  line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
  height: auto;
}
.form-group-sm .form-control-static {
  height: 30px;
  min-height: 30px;
  padding: 6px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.input-lg {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-lg {
  height: 45px;
  line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
  height: auto;
}
.form-group-lg .form-control {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.form-group-lg select.form-control {
  height: 45px;
  line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
  height: auto;
}
.form-group-lg .form-control-static {
  height: 45px;
  min-height: 35px;
  padding: 11px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.has-feedback {
  position: relative;
}
.has-feedback .form-control {
  padding-right: 40px;
}
.form-control-feedback {
  position: absolute;
  top: 0;
  right: 0;
  z-index: 2;
  display: block;
  width: 32px;
  height: 32px;
  line-height: 32px;
  text-align: center;
  pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
  width: 45px;
  height: 45px;
  line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
  width: 30px;
  height: 30px;
  line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
  color: #3c763d;
}
.has-success .form-control {
  border-color: #3c763d;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
  border-color: #2b542c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
  color: #3c763d;
  border-color: #3c763d;
  background-color: #dff0d8;
}
.has-success .form-control-feedback {
  color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
  color: #8a6d3b;
}
.has-warning .form-control {
  border-color: #8a6d3b;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
  border-color: #66512c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
  color: #8a6d3b;
  border-color: #8a6d3b;
  background-color: #fcf8e3;
}
.has-warning .form-control-feedback {
  color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
  color: #a94442;
}
.has-error .form-control {
  border-color: #a94442;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
  border-color: #843534;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
  color: #a94442;
  border-color: #a94442;
  background-color: #f2dede;
}
.has-error .form-control-feedback {
  color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
  top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
  top: 0;
}
.help-block {
  display: block;
  margin-top: 5px;
  margin-bottom: 10px;
  color: #404040;
}
@media (min-width: 768px) {
  .form-inline .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .form-inline .form-control-static {
    display: inline-block;
  }
  .form-inline .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .form-inline .input-group .input-group-addon,
  .form-inline .input-group .input-group-btn,
  .form-inline .input-group .form-control {
    width: auto;
  }
  .form-inline .input-group > .form-control {
    width: 100%;
  }
  .form-inline .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio,
  .form-inline .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio label,
  .form-inline .checkbox label {
    padding-left: 0;
  }
  .form-inline .radio input[type="radio"],
  .form-inline .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .form-inline .has-feedback .form-control-feedback {
    top: 0;
  }
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
  margin-top: 0;
  margin-bottom: 0;
  padding-top: 7px;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-left: 0px;
  margin-right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    text-align: right;
    margin-bottom: 0;
    padding-top: 7px;
  }
}
.form-horizontal .has-feedback .form-control-feedback {
  right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .form-group-lg .control-label {
    padding-top: 11px;
    font-size: 17px;
  }
}
@media (min-width: 768px) {
  .form-horizontal .form-group-sm .control-label {
    padding-top: 6px;
    font-size: 12px;
  }
}
.btn {
  display: inline-block;
  margin-bottom: 0;
  font-weight: normal;
  text-align: center;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  white-space: nowrap;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  border-radius: 2px;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
  outline: thin dotted;
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
  color: #333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  outline: 0;
  background-image: none;
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
  cursor: not-allowed;
  opacity: 0.65;
  filter: alpha(opacity=65);
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  background-image: none;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
  background-color: #fff;
  border-color: #ccc;
}
.btn-default .badge {
  color: #fff;
  background-color: #333;
}
.btn-primary {
  color: #fff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #fff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
  color: #fff;
  background-color: #204d74;
  border-color: #122b40;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  background-image: none;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary .badge {
  color: #337ab7;
  background-color: #fff;
}
.btn-success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  background-image: none;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.btn-info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  background-image: none;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.btn-warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  background-image: none;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.btn-danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  background-image: none;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger .badge {
  color: #d9534f;
  background-color: #fff;
}
.btn-link {
  color: #337ab7;
  font-weight: normal;
  border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
  background-color: transparent;
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
  border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
  color: #23527c;
  text-decoration: underline;
  background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
  color: #777777;
  text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
  padding: 1px 5px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-block {
  display: block;
  width: 100%;
}
.btn-block + .btn-block {
  margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
  width: 100%;
}
.fade {
  opacity: 0;
  -webkit-transition: opacity 0.15s linear;
  -o-transition: opacity 0.15s linear;
  transition: opacity 0.15s linear;
}
.fade.in {
  opacity: 1;
}
.collapse {
  display: none;
}
.collapse.in {
  display: block;
}
tr.collapse.in {
  display: table-row;
}
tbody.collapse.in {
  display: table-row-group;
}
.collapsing {
  position: relative;
  height: 0;
  overflow: hidden;
  -webkit-transition-property: height, visibility;
  transition-property: height, visibility;
  -webkit-transition-duration: 0.35s;
  transition-duration: 0.35s;
  -webkit-transition-timing-function: ease;
  transition-timing-function: ease;
}
.caret {
  display: inline-block;
  width: 0;
  height: 0;
  margin-left: 2px;
  vertical-align: middle;
  border-top: 4px dashed;
  border-top: 4px solid \9;
  border-right: 4px solid transparent;
  border-left: 4px solid transparent;
}
.dropup,
.dropdown {
  position: relative;
}
.dropdown-toggle:focus {
  outline: 0;
}
.dropdown-menu {
  position: absolute;
  top: 100%;
  left: 0;
  z-index: 1000;
  display: none;
  float: left;
  min-width: 160px;
  padding: 5px 0;
  margin: 2px 0 0;
  list-style: none;
  font-size: 13px;
  text-align: left;
  background-color: #fff;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.15);
  border-radius: 2px;
  -webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  background-clip: padding-box;
}
.dropdown-menu.pull-right {
  right: 0;
  left: auto;
}
.dropdown-menu .divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.dropdown-menu > li > a {
  display: block;
  padding: 3px 20px;
  clear: both;
  font-weight: normal;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  text-decoration: none;
  color: #262626;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #fff;
  text-decoration: none;
  outline: 0;
  background-color: #337ab7;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  text-decoration: none;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
  cursor: not-allowed;
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  left: auto;
  right: 0;
}
.dropdown-menu-left {
  left: 0;
  right: auto;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  left: 0;
  right: 0;
  bottom: 0;
  top: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
  content: "";
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    left: auto;
    right: 0;
  }
  .navbar-right .dropdown-menu-left {
    left: 0;
    right: auto;
  }
}
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
  position: relative;
  float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
  z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
  margin-left: -1px;
}
.btn-toolbar {
  margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
  float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
  margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}
.btn-group > .btn:first-child {
  margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-left: 8px;
  padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-left: 12px;
  padding-right: 12px;
}
.btn-group.open .dropdown-toggle {
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn .caret {
  margin-left: 0;
}
.btn-lg .caret {
  border-width: 5px 5px 0;
  border-bottom-width: 0;
}
.dropup .btn-lg .caret {
  border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
  display: block;
  float: none;
  width: 100%;
  max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
  float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
  margin-top: -1px;
  margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  float: none;
  display: table-cell;
  width: 1%;
}
.btn-group-justified > .btn-group .btn {
  width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
  left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
  position: absolute;
  clip: rect(0, 0, 0, 0);
  pointer-events: none;
}
.input-group {
  position: relative;
  display: table;
  border-collapse: separate;
}
.input-group[class*="col-"] {
  float: none;
  padding-left: 0;
  padding-right: 0;
}
.input-group .form-control {
  position: relative;
  z-index: 2;
  float: left;
  width: 100%;
  margin-bottom: 0;
}
.input-group .form-control:focus {
  z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
  height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
  height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
  display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.input-group-addon,
.input-group-btn {
  width: 1%;
  white-space: nowrap;
  vertical-align: middle;
}
.input-group-addon {
  padding: 6px 12px;
  font-size: 13px;
  font-weight: normal;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #ccc;
  border-radius: 2px;
}
.input-group-addon.input-sm {
  padding: 5px 10px;
  font-size: 12px;
  border-radius: 1px;
}
.input-group-addon.input-lg {
  padding: 10px 16px;
  font-size: 17px;
  border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
  margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.input-group-addon:first-child {
  border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.input-group-addon:last-child {
  border-left: 0;
}
.input-group-btn {
  position: relative;
  font-size: 0;
  white-space: nowrap;
}
.input-group-btn > .btn {
  position: relative;
}
.input-group-btn > .btn + .btn {
  margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
  z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
  margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
  z-index: 2;
  margin-left: -1px;
}
.nav {
  margin-bottom: 0;
  padding-left: 0;
  list-style: none;
}
.nav > li {
  position: relative;
  display: block;
}
.nav > li > a {
  position: relative;
  display: block;
  padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.nav > li.disabled > a {
  color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
  color: #777777;
  text-decoration: none;
  background-color: transparent;
  cursor: not-allowed;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #337ab7;
}
.nav .nav-divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.nav > li > a > img {
  max-width: none;
}
.nav-tabs {
  border-bottom: 1px solid #ddd;
}
.nav-tabs > li {
  float: left;
  margin-bottom: -1px;
}
.nav-tabs > li > a {
  margin-right: 2px;
  line-height: 1.42857143;
  border: 1px solid transparent;
  border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
  border-color: #eeeeee #eeeeee #ddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  background-color: #fff;
  border: 1px solid #ddd;
  border-bottom-color: transparent;
  cursor: default;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-tabs.nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs.nav-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs.nav-justified > .active > a,
  .nav-tabs.nav-justified > .active > a:hover,
  .nav-tabs.nav-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.nav-pills > li {
  float: left;
}
.nav-pills > li > a {
  border-radius: 2px;
}
.nav-pills > li + li {
  margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
  color: #fff;
  background-color: #337ab7;
}
.nav-stacked > li {
  float: none;
}
.nav-stacked > li + li {
  margin-top: 2px;
  margin-left: 0;
}
.nav-justified {
  width: 100%;
}
.nav-justified > li {
  float: none;
}
.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs-justified {
  border-bottom: 0;
}
.nav-tabs-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs-justified > .active > a,
  .nav-tabs-justified > .active > a:hover,
  .nav-tabs-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar {
  position: relative;
  min-height: 30px;
  margin-bottom: 18px;
  border: 1px solid transparent;
}
@media (min-width: 541px) {
  .navbar {
    border-radius: 2px;
  }
}
@media (min-width: 541px) {
  .navbar-header {
    float: left;
  }
}
.navbar-collapse {
  overflow-x: visible;
  padding-right: 0px;
  padding-left: 0px;
  border-top: 1px solid transparent;
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
  -webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
  overflow-y: auto;
}
@media (min-width: 541px) {
  .navbar-collapse {
    width: auto;
    border-top: 0;
    box-shadow: none;
  }
  .navbar-collapse.collapse {
    display: block !important;
    height: auto !important;
    padding-bottom: 0;
    overflow: visible !important;
  }
  .navbar-collapse.in {
    overflow-y: visible;
  }
  .navbar-fixed-top .navbar-collapse,
  .navbar-static-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    padding-left: 0;
    padding-right: 0;
  }
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
  max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
  .navbar-fixed-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    max-height: 200px;
  }
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 541px) {
  .container > .navbar-header,
  .container-fluid > .navbar-header,
  .container > .navbar-collapse,
  .container-fluid > .navbar-collapse {
    margin-right: 0;
    margin-left: 0;
  }
}
.navbar-static-top {
  z-index: 1000;
  border-width: 0 0 1px;
}
@media (min-width: 541px) {
  .navbar-static-top {
    border-radius: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
@media (min-width: 541px) {
  .navbar-fixed-top,
  .navbar-fixed-bottom {
    border-radius: 0;
  }
}
.navbar-fixed-top {
  top: 0;
  border-width: 0 0 1px;
}
.navbar-fixed-bottom {
  bottom: 0;
  margin-bottom: 0;
  border-width: 1px 0 0;
}
.navbar-brand {
  float: left;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
  height: 30px;
}
.navbar-brand:hover,
.navbar-brand:focus {
  text-decoration: none;
}
.navbar-brand > img {
  display: block;
}
@media (min-width: 541px) {
  .navbar > .container .navbar-brand,
  .navbar > .container-fluid .navbar-brand {
    margin-left: 0px;
  }
}
.navbar-toggle {
  position: relative;
  float: right;
  margin-right: 0px;
  padding: 9px 10px;
  margin-top: -2px;
  margin-bottom: -2px;
  background-color: transparent;
  background-image: none;
  border: 1px solid transparent;
  border-radius: 2px;
}
.navbar-toggle:focus {
  outline: 0;
}
.navbar-toggle .icon-bar {
  display: block;
  width: 22px;
  height: 2px;
  border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
  margin-top: 4px;
}
@media (min-width: 541px) {
  .navbar-toggle {
    display: none;
  }
}
.navbar-nav {
  margin: 3px 0px;
}
.navbar-nav > li > a {
  padding-top: 10px;
  padding-bottom: 10px;
  line-height: 18px;
}
@media (max-width: 540px) {
  .navbar-nav .open .dropdown-menu {
    position: static;
    float: none;
    width: auto;
    margin-top: 0;
    background-color: transparent;
    border: 0;
    box-shadow: none;
  }
  .navbar-nav .open .dropdown-menu > li > a,
  .navbar-nav .open .dropdown-menu .dropdown-header {
    padding: 5px 15px 5px 25px;
  }
  .navbar-nav .open .dropdown-menu > li > a {
    line-height: 18px;
  }
  .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-nav .open .dropdown-menu > li > a:focus {
    background-image: none;
  }
}
@media (min-width: 541px) {
  .navbar-nav {
    float: left;
    margin: 0;
  }
  .navbar-nav > li {
    float: left;
  }
  .navbar-nav > li > a {
    padding-top: 6px;
    padding-bottom: 6px;
  }
}
.navbar-form {
  margin-left: 0px;
  margin-right: 0px;
  padding: 10px 0px;
  border-top: 1px solid transparent;
  border-bottom: 1px solid transparent;
  -webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  margin-top: -1px;
  margin-bottom: -1px;
}
@media (min-width: 768px) {
  .navbar-form .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .navbar-form .form-control-static {
    display: inline-block;
  }
  .navbar-form .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .navbar-form .input-group .input-group-addon,
  .navbar-form .input-group .input-group-btn,
  .navbar-form .input-group .form-control {
    width: auto;
  }
  .navbar-form .input-group > .form-control {
    width: 100%;
  }
  .navbar-form .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio,
  .navbar-form .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio label,
  .navbar-form .checkbox label {
    padding-left: 0;
  }
  .navbar-form .radio input[type="radio"],
  .navbar-form .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .navbar-form .has-feedback .form-control-feedback {
    top: 0;
  }
}
@media (max-width: 540px) {
  .navbar-form .form-group {
    margin-bottom: 5px;
  }
  .navbar-form .form-group:last-child {
    margin-bottom: 0;
  }
}
@media (min-width: 541px) {
  .navbar-form {
    width: auto;
    border: 0;
    margin-left: 0;
    margin-right: 0;
    padding-top: 0;
    padding-bottom: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.navbar-btn {
  margin-top: -1px;
  margin-bottom: -1px;
}
.navbar-btn.btn-sm {
  margin-top: 0px;
  margin-bottom: 0px;
}
.navbar-btn.btn-xs {
  margin-top: 4px;
  margin-bottom: 4px;
}
.navbar-text {
  margin-top: 6px;
  margin-bottom: 6px;
}
@media (min-width: 541px) {
  .navbar-text {
    float: left;
    margin-left: 0px;
    margin-right: 0px;
  }
}
@media (min-width: 541px) {
  .navbar-left {
    float: left !important;
    float: left;
  }
  .navbar-right {
    float: right !important;
    float: right;
    margin-right: 0px;
  }
  .navbar-right ~ .navbar-right {
    margin-right: 0;
  }
}
.navbar-default {
  background-color: #f8f8f8;
  border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
  color: #777;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #5e5e5e;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777;
}
.navbar-default .navbar-nav > li > a {
  color: #777;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #ccc;
  background-color: transparent;
}
.navbar-default .navbar-toggle {
  border-color: #ddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #ddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  background-color: #e7e7e7;
  color: #555;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #777;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333;
    background-color: transparent;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #555;
    background-color: #e7e7e7;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #ccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-link {
  color: #777;
}
.navbar-default .navbar-link:hover {
  color: #333;
}
.navbar-default .btn-link {
  color: #777;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
  color: #ccc;
}
.navbar-inverse {
  background-color: #222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-text {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #fff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444;
  background-color: transparent;
}
.navbar-inverse .navbar-toggle {
  border-color: #333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #fff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  background-color: #080808;
  color: #fff;
}
@media (max-width: 540px) {
  .navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
    border-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu .divider {
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
    color: #9d9d9d;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #fff;
    background-color: transparent;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #fff;
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #fff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #fff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
  color: #444;
}
.breadcrumb {
  padding: 8px 15px;
  margin-bottom: 18px;
  list-style: none;
  background-color: #f5f5f5;
  border-radius: 2px;
}
.breadcrumb > li {
  display: inline-block;
}
.breadcrumb > li + li:before {
  content: "/\00a0";
  padding: 0 5px;
  color: #5e5e5e;
}
.breadcrumb > .active {
  color: #777777;
}
.pagination {
  display: inline-block;
  padding-left: 0;
  margin: 18px 0;
  border-radius: 2px;
}
.pagination > li {
  display: inline;
}
.pagination > li > a,
.pagination > li > span {
  position: relative;
  float: left;
  padding: 6px 12px;
  line-height: 1.42857143;
  text-decoration: none;
  color: #337ab7;
  background-color: #fff;
  border: 1px solid #ddd;
  margin-left: -1px;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-bottom-right-radius: 2px;
  border-top-right-radius: 2px;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #23527c;
  background-color: #eeeeee;
  border-color: #ddd;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
  z-index: 3;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
  cursor: default;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  background-color: #fff;
  border-color: #ddd;
  cursor: not-allowed;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
  border-bottom-left-radius: 3px;
  border-top-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-bottom-right-radius: 3px;
  border-top-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
  border-bottom-left-radius: 1px;
  border-top-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-bottom-right-radius: 1px;
  border-top-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  list-style: none;
  text-align: center;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
  float: right;
}
.pager .previous > a,
.pager .previous > span {
  float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
  color: #777777;
  background-color: #fff;
  cursor: not-allowed;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: bold;
  line-height: 1;
  color: #fff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.label:empty {
  display: none;
}
.btn .label {
  position: relative;
  top: -1px;
}
.label-default {
  background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
  background-color: #5e5e5e;
}
.label-primary {
  background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
  background-color: #286090;
}
.label-success {
  background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
  background-color: #449d44;
}
.label-info {
  background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
  background-color: #31b0d5;
}
.label-warning {
  background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
  background-color: #ec971f;
}
.label-danger {
  background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
  background-color: #c9302c;
}
.badge {
  display: inline-block;
  min-width: 10px;
  padding: 3px 7px;
  font-size: 12px;
  font-weight: bold;
  color: #fff;
  line-height: 1;
  vertical-align: middle;
  white-space: nowrap;
  text-align: center;
  background-color: #777777;
  border-radius: 10px;
}
.badge:empty {
  display: none;
}
.btn .badge {
  position: relative;
  top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
  top: 0;
  padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #337ab7;
  background-color: #fff;
}
.list-group-item > .badge {
  float: right;
}
.list-group-item > .badge + .badge {
  margin-right: 5px;
}
.nav-pills > li > a > .badge {
  margin-left: 3px;
}
.jumbotron {
  padding-top: 30px;
  padding-bottom: 30px;
  margin-bottom: 30px;
  color: inherit;
  background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
  color: inherit;
}
.jumbotron p {
  margin-bottom: 15px;
  font-size: 20px;
  font-weight: 200;
}
.jumbotron > hr {
  border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
  border-radius: 3px;
  padding-left: 0px;
  padding-right: 0px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-left: 60px;
    padding-right: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: border 0.2s ease-in-out;
  -o-transition: border 0.2s ease-in-out;
  transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
  margin-left: auto;
  margin-right: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #337ab7;
}
.thumbnail .caption {
  padding: 9px;
  color: #000;
}
.alert {
  padding: 15px;
  margin-bottom: 18px;
  border: 1px solid transparent;
  border-radius: 2px;
}
.alert h4 {
  margin-top: 0;
  color: inherit;
}
.alert .alert-link {
  font-weight: bold;
}
.alert > p,
.alert > ul {
  margin-bottom: 0;
}
.alert > p + p {
  margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
  padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
  position: relative;
  top: -2px;
  right: -21px;
  color: inherit;
}
.alert-success {
  background-color: #dff0d8;
  border-color: #d6e9c6;
  color: #3c763d;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  background-color: #d9edf7;
  border-color: #bce8f1;
  color: #31708f;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  background-color: #fcf8e3;
  border-color: #faebcc;
  color: #8a6d3b;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  background-color: #f2dede;
  border-color: #ebccd1;
  color: #a94442;
}
.alert-danger hr {
  border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
  color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
@keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
.progress {
  overflow: hidden;
  height: 18px;
  margin-bottom: 18px;
  background-color: #f5f5f5;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
  box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
  float: left;
  width: 0%;
  height: 100%;
  font-size: 12px;
  line-height: 18px;
  color: #fff;
  text-align: center;
  background-color: #337ab7;
  -webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  -webkit-transition: width 0.6s ease;
  -o-transition: width 0.6s ease;
  transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
  -webkit-animation: progress-bar-stripes 2s linear infinite;
  -o-animation: progress-bar-stripes 2s linear infinite;
  animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
  background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
  background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
  background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
  background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
  margin-top: 15px;
}
.media:first-child {
  margin-top: 0;
}
.media,
.media-body {
  zoom: 1;
  overflow: hidden;
}
.media-body {
  width: 10000px;
}
.media-object {
  display: block;
}
.media-object.img-thumbnail {
  max-width: none;
}
.media-right,
.media > .pull-right {
  padding-left: 10px;
}
.media-left,
.media > .pull-left {
  padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
  display: table-cell;
  vertical-align: top;
}
.media-middle {
  vertical-align: middle;
}
.media-bottom {
  vertical-align: bottom;
}
.media-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.media-list {
  padding-left: 0;
  list-style: none;
}
.list-group {
  margin-bottom: 20px;
  padding-left: 0;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #fff;
  border: 1px solid #ddd;
}
.list-group-item:first-child {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
a.list-group-item,
button.list-group-item {
  color: #555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  text-decoration: none;
  color: #555;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  background-color: #eeeeee;
  color: #777777;
  cursor: not-allowed;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
  color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
  color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
  z-index: 2;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
  color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
  color: #c7ddef;
}
.list-group-item-success {
  color: #3c763d;
  background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
  color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
  color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
  color: #3c763d;
  background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
  color: #fff;
  background-color: #3c763d;
  border-color: #3c763d;
}
.list-group-item-info {
  color: #31708f;
  background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
  color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
  color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
  color: #31708f;
  background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
  color: #fff;
  background-color: #31708f;
  border-color: #31708f;
}
.list-group-item-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
  color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
  color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
  color: #8a6d3b;
  background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
  color: #fff;
  background-color: #8a6d3b;
  border-color: #8a6d3b;
}
.list-group-item-danger {
  color: #a94442;
  background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
  color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
  color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
  color: #a94442;
  background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
  color: #fff;
  background-color: #a94442;
  border-color: #a94442;
}
.list-group-item-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.list-group-item-text {
  margin-bottom: 0;
  line-height: 1.3;
}
.panel {
  margin-bottom: 18px;
  background-color: #fff;
  border: 1px solid transparent;
  border-radius: 2px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
  padding: 15px;
}
.panel-heading {
  padding: 10px 15px;
  border-bottom: 1px solid transparent;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
  color: inherit;
}
.panel-title {
  margin-top: 0;
  margin-bottom: 0;
  font-size: 15px;
  color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
  color: inherit;
}
.panel-footer {
  padding: 10px 15px;
  background-color: #f5f5f5;
  border-top: 1px solid #ddd;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
  margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
  border-width: 1px 0;
  border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
  border-top: 0;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
  border-bottom: 0;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
  border-top-width: 0;
}
.list-group + .panel-footer {
  border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
  margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
  padding-left: 15px;
  padding-right: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
  border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
  border-bottom-left-radius: 1px;
  border-bottom-right-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
  border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
  border-top: 1px solid #ddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
  border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
  border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
  border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
  border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
  border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
  border-bottom: 0;
}
.panel > .table-responsive {
  border: 0;
  margin-bottom: 0;
}
.panel-group {
  margin-bottom: 18px;
}
.panel-group .panel {
  margin-bottom: 0;
  border-radius: 2px;
}
.panel-group .panel + .panel {
  margin-top: 5px;
}
.panel-group .panel-heading {
  border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
  border-top: 1px solid #ddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #ddd;
}
.panel-default {
  border-color: #ddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #ddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
  color: #337ab7;
  background-color: #fff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #337ab7;
}
.panel-success {
  border-color: #d6e9c6;
}
.panel-success > .panel-heading {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
  color: #dff0d8;
  background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #d6e9c6;
}
.panel-info {
  border-color: #bce8f1;
}
.panel-info > .panel-heading {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
  color: #d9edf7;
  background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #bce8f1;
}
.panel-warning {
  border-color: #faebcc;
}
.panel-warning > .panel-heading {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
  color: #fcf8e3;
  background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #faebcc;
}
.panel-danger {
  border-color: #ebccd1;
}
.panel-danger > .panel-heading {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
  color: #f2dede;
  background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ebccd1;
}
.embed-responsive {
  position: relative;
  display: block;
  height: 0;
  padding: 0;
  overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  height: 100%;
  width: 100%;
  border: 0;
}
.embed-responsive-16by9 {
  padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
  padding-bottom: 75%;
}
.well {
  min-height: 20px;
  padding: 19px;
  margin-bottom: 20px;
  background-color: #f5f5f5;
  border: 1px solid #e3e3e3;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
  border-color: #ddd;
  border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
  padding: 24px;
  border-radius: 3px;
}
.well-sm {
  padding: 9px;
  border-radius: 1px;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000;
  text-shadow: 0 1px 0 #fff;
  opacity: 0.2;
  filter: alpha(opacity=20);
}
.close:hover,
.close:focus {
  color: #000;
  text-decoration: none;
  cursor: pointer;
  opacity: 0.5;
  filter: alpha(opacity=50);
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  display: none;
  overflow: hidden;
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  -webkit-overflow-scrolling: touch;
  outline: 0;
}
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
  -ms-transform: translate(0, -25%);
  -o-transform: translate(0, -25%);
  transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
  -moz-transition: -moz-transform 0.3s ease-out;
  -o-transition: -o-transform 0.3s ease-out;
  transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
.modal-open .modal {
  overflow-x: hidden;
  overflow-y: auto;
}
.modal-dialog {
  position: relative;
  width: auto;
  margin: 10px;
}
.modal-content {
  position: relative;
  background-color: #fff;
  border: 1px solid #999;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  background-clip: padding-box;
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000;
}
.modal-backdrop.fade {
  opacity: 0;
  filter: alpha(opacity=0);
}
.modal-backdrop.in {
  opacity: 0.5;
  filter: alpha(opacity=50);
}
.modal-header {
  padding: 15px;
  border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
  margin-top: -2px;
}
.modal-title {
  margin: 0;
  line-height: 1.42857143;
}
.modal-body {
  position: relative;
  padding: 15px;
}
.modal-footer {
  padding: 15px;
  text-align: right;
  border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
  margin-left: 5px;
  margin-bottom: 0;
}
.modal-footer .btn-group .btn + .btn {
  margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
  margin-left: 0;
}
.modal-scrollbar-measure {
  position: absolute;
  top: -9999px;
  width: 50px;
  height: 50px;
  overflow: scroll;
}
@media (min-width: 768px) {
  .modal-dialog {
    width: 600px;
    margin: 30px auto;
  }
  .modal-content {
    -webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
    box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
  }
  .modal-sm {
    width: 300px;
  }
}
@media (min-width: 992px) {
  .modal-lg {
    width: 900px;
  }
}
.tooltip {
  position: absolute;
  z-index: 1070;
  display: block;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 12px;
  opacity: 0;
  filter: alpha(opacity=0);
}
.tooltip.in {
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.tooltip.top {
  margin-top: -3px;
  padding: 5px 0;
}
.tooltip.right {
  margin-left: 3px;
  padding: 0 5px;
}
.tooltip.bottom {
  margin-top: 3px;
  padding: 5px 0;
}
.tooltip.left {
  margin-left: -3px;
  padding: 0 5px;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #fff;
  text-align: center;
  background-color: #000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-left .tooltip-arrow {
  bottom: 0;
  right: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.popover {
  position: absolute;
  top: 0;
  left: 0;
  z-index: 1060;
  display: none;
  max-width: 276px;
  padding: 1px;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 13px;
  background-color: #fff;
  background-clip: padding-box;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
  box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
  margin-top: -10px;
}
.popover.right {
  margin-left: 10px;
}
.popover.bottom {
  margin-top: 10px;
}
.popover.left {
  margin-left: -10px;
}
.popover-title {
  margin: 0;
  padding: 8px 14px;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow {
  border-width: 11px;
}
.popover > .arrow:after {
  border-width: 10px;
  content: "";
}
.popover.top > .arrow {
  left: 50%;
  margin-left: -11px;
  border-bottom-width: 0;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  bottom: -11px;
}
.popover.top > .arrow:after {
  content: " ";
  bottom: 1px;
  margin-left: -10px;
  border-bottom-width: 0;
  border-top-color: #fff;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-left-width: 0;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
}
.popover.right > .arrow:after {
  content: " ";
  left: 1px;
  bottom: -10px;
  border-left-width: 0;
  border-right-color: #fff;
}
.popover.bottom > .arrow {
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
  top: -11px;
}
.popover.bottom > .arrow:after {
  content: " ";
  top: 1px;
  margin-left: -10px;
  border-top-width: 0;
  border-bottom-color: #fff;
}
.popover.left > .arrow {
  top: 50%;
  right: -11px;
  margin-top: -11px;
  border-right-width: 0;
  border-left-color: #999999;
  border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
  content: " ";
  right: 1px;
  border-right-width: 0;
  border-left-color: #fff;
  bottom: -10px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  overflow: hidden;
  width: 100%;
}
.carousel-inner > .item {
  display: none;
  position: relative;
  -webkit-transition: 0.6s ease-in-out left;
  -o-transition: 0.6s ease-in-out left;
  transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
  .carousel-inner > .item {
    -webkit-transition: -webkit-transform 0.6s ease-in-out;
    -moz-transition: -moz-transform 0.6s ease-in-out;
    -o-transition: -o-transform 0.6s ease-in-out;
    transition: transform 0.6s ease-in-out;
    -webkit-backface-visibility: hidden;
    -moz-backface-visibility: hidden;
    backface-visibility: hidden;
    -webkit-perspective: 1000px;
    -moz-perspective: 1000px;
    perspective: 1000px;
  }
  .carousel-inner > .item.next,
  .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(100%, 0, 0);
    transform: translate3d(100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.prev,
  .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(-100%, 0, 0);
    transform: translate3d(-100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.next.left,
  .carousel-inner > .item.prev.right,
  .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
    transform: translate3d(0, 0, 0);
    left: 0;
  }
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
  display: block;
}
.carousel-inner > .active {
  left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
  position: absolute;
  top: 0;
  width: 100%;
}
.carousel-inner > .next {
  left: 100%;
}
.carousel-inner > .prev {
  left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
  left: 0;
}
.carousel-inner > .active.left {
  left: -100%;
}
.carousel-inner > .active.right {
  left: 100%;
}
.carousel-control {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  width: 15%;
  opacity: 0.5;
  filter: alpha(opacity=50);
  font-size: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
}
.carousel-control.left {
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
}
.carousel-control.right {
  left: auto;
  right: 0;
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
}
.carousel-control:hover,
.carousel-control:focus {
  outline: 0;
  color: #fff;
  text-decoration: none;
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  margin-top: -10px;
  z-index: 5;
  display: inline-block;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
  left: 50%;
  margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
  right: 50%;
  margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
  width: 20px;
  height: 20px;
  line-height: 1;
  font-family: serif;
}
.carousel-control .icon-prev:before {
  content: '\2039';
}
.carousel-control .icon-next:before {
  content: '\203a';
}
.carousel-indicators {
  position: absolute;
  bottom: 10px;
  left: 50%;
  z-index: 15;
  width: 60%;
  margin-left: -30%;
  padding-left: 0;
  list-style: none;
  text-align: center;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  border: 1px solid #fff;
  border-radius: 10px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
}
.carousel-indicators .active {
  margin: 0;
  width: 12px;
  height: 12px;
  background-color: #fff;
}
.carousel-caption {
  position: absolute;
  left: 15%;
  right: 15%;
  bottom: 20px;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
  text-shadow: none;
}
@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-prev,
  .carousel-control .icon-next {
    width: 30px;
    height: 30px;
    margin-top: -10px;
    font-size: 30px;
  }
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .icon-prev {
    margin-left: -10px;
  }
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-next {
    margin-right: -10px;
  }
  .carousel-caption {
    left: 20%;
    right: 20%;
    padding-bottom: 30px;
  }
  .carousel-indicators {
    bottom: 20px;
  }
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
  content: " ";
  display: table;
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
  clear: both;
}
.center-block {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.pull-right {
  float: right !important;
}
.pull-left {
  float: left !important;
}
.hide {
  display: none !important;
}
.show {
  display: block !important;
}
.invisible {
  visibility: hidden;
}
.text-hide {
  font: 0/0 a;
  color: transparent;
  text-shadow: none;
  background-color: transparent;
  border: 0;
}
.hidden {
  display: none !important;
}
.affix {
  position: fixed;
}
@-ms-viewport {
  width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
  display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
  display: none !important;
}
@media (max-width: 767px) {
  .visible-xs {
    display: block !important;
  }
  table.visible-xs {
    display: table !important;
  }
  tr.visible-xs {
    display: table-row !important;
  }
  th.visible-xs,
  td.visible-xs {
    display: table-cell !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-block {
    display: block !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline {
    display: inline !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm {
    display: block !important;
  }
  table.visible-sm {
    display: table !important;
  }
  tr.visible-sm {
    display: table-row !important;
  }
  th.visible-sm,
  td.visible-sm {
    display: table-cell !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-block {
    display: block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline {
    display: inline !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md {
    display: block !important;
  }
  table.visible-md {
    display: table !important;
  }
  tr.visible-md {
    display: table-row !important;
  }
  th.visible-md,
  td.visible-md {
    display: table-cell !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-block {
    display: block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline {
    display: inline !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg {
    display: block !important;
  }
  table.visible-lg {
    display: table !important;
  }
  tr.visible-lg {
    display: table-row !important;
  }
  th.visible-lg,
  td.visible-lg {
    display: table-cell !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-block {
    display: block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline {
    display: inline !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline-block {
    display: inline-block !important;
  }
}
@media (max-width: 767px) {
  .hidden-xs {
    display: none !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .hidden-sm {
    display: none !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .hidden-md {
    display: none !important;
  }
}
@media (min-width: 1200px) {
  .hidden-lg {
    display: none !important;
  }
}
.visible-print {
  display: none !important;
}
@media print {
  .visible-print {
    display: block !important;
  }
  table.visible-print {
    display: table !important;
  }
  tr.visible-print {
    display: table-row !important;
  }
  th.visible-print,
  td.visible-print {
    display: table-cell !important;
  }
}
.visible-print-block {
  display: none !important;
}
@media print {
  .visible-print-block {
    display: block !important;
  }
}
.visible-print-inline {
  display: none !important;
}
@media print {
  .visible-print-inline {
    display: inline !important;
  }
}
.visible-print-inline-block {
  display: none !important;
}
@media print {
  .visible-print-inline-block {
    display: inline-block !important;
  }
}
@media print {
  .hidden-print {
    display: none !important;
  }
}
/*!
*
* Font Awesome
*
*/
/*!
 *  Font Awesome 4.2.0 by @davegandy - http://fontawesome.io - @fontawesome
 *  License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
 */
/* FONT PATH
 * -------------------------- */
@font-face {
  font-family: 'FontAwesome';
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.2.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.2.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.2.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.2.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.2.0#fontawesomeregular') format('svg');
  font-weight: normal;
  font-style: normal;
}
.fa {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
  font-size: 1.33333333em;
  line-height: 0.75em;
  vertical-align: -15%;
}
.fa-2x {
  font-size: 2em;
}
.fa-3x {
  font-size: 3em;
}
.fa-4x {
  font-size: 4em;
}
.fa-5x {
  font-size: 5em;
}
.fa-fw {
  width: 1.28571429em;
  text-align: center;
}
.fa-ul {
  padding-left: 0;
  margin-left: 2.14285714em;
  list-style-type: none;
}
.fa-ul > li {
  position: relative;
}
.fa-li {
  position: absolute;
  left: -2.14285714em;
  width: 2.14285714em;
  top: 0.14285714em;
  text-align: center;
}
.fa-li.fa-lg {
  left: -1.85714286em;
}
.fa-border {
  padding: .2em .25em .15em;
  border: solid 0.08em #eee;
  border-radius: .1em;
}
.pull-right {
  float: right;
}
.pull-left {
  float: left;
}
.fa.pull-left {
  margin-right: .3em;
}
.fa.pull-right {
  margin-left: .3em;
}
.fa-spin {
  -webkit-animation: fa-spin 2s infinite linear;
  animation: fa-spin 2s infinite linear;
}
@-webkit-keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
@keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
.fa-rotate-90 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=1);
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2);
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=3);
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1);
  -webkit-transform: scale(-1, 1);
  -ms-transform: scale(-1, 1);
  transform: scale(-1, 1);
}
.fa-flip-vertical {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1);
  -webkit-transform: scale(1, -1);
  -ms-transform: scale(1, -1);
  transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
  filter: none;
}
.fa-stack {
  position: relative;
  display: inline-block;
  width: 2em;
  height: 2em;
  line-height: 2em;
  vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
  position: absolute;
  left: 0;
  width: 100%;
  text-align: center;
}
.fa-stack-1x {
  line-height: inherit;
}
.fa-stack-2x {
  font-size: 2em;
}
.fa-inverse {
  color: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-rss:before {
  content: "\f09e";
}
.fa-hdd-o:before {
  content: "\f0a0";
}
.fa-bullhorn:before {
  content: "\f0a1";
}
.fa-bell:before {
  content: "\f0f3";
}
.fa-certificate:before {
  content: "\f0a3";
}
.fa-hand-o-right:before {
  content: "\f0a4";
}
.fa-hand-o-left:before {
  content: "\f0a5";
}
.fa-hand-o-up:before {
  content: "\f0a6";
}
.fa-hand-o-down:before {
  content: "\f0a7";
}
.fa-arrow-circle-left:before {
  content: "\f0a8";
}
.fa-arrow-circle-right:before {
  content: "\f0a9";
}
.fa-arrow-circle-up:before {
  content: "\f0aa";
}
.fa-arrow-circle-down:before {
  content: "\f0ab";
}
.fa-globe:before {
  content: "\f0ac";
}
.fa-wrench:before {
  content: "\f0ad";
}
.fa-tasks:before {
  content: "\f0ae";
}
.fa-filter:before {
  content: "\f0b0";
}
.fa-briefcase:before {
  content: "\f0b1";
}
.fa-arrows-alt:before {
  content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
  content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
  content: "\f0c1";
}
.fa-cloud:before {
  content: "\f0c2";
}
.fa-flask:before {
  content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
  content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
  content: "\f0c5";
}
.fa-paperclip:before {
  content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
  content: "\f0c7";
}
.fa-square:before {
  content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
  content: "\f0c9";
}
.fa-list-ul:before {
  content: "\f0ca";
}
.fa-list-ol:before {
  content: "\f0cb";
}
.fa-strikethrough:before {
  content: "\f0cc";
}
.fa-underline:before {
  content: "\f0cd";
}
.fa-table:before {
  content: "\f0ce";
}
.fa-magic:before {
  content: "\f0d0";
}
.fa-truck:before {
  content: "\f0d1";
}
.fa-pinterest:before {
  content: "\f0d2";
}
.fa-pinterest-square:before {
  content: "\f0d3";
}
.fa-google-plus-square:before {
  content: "\f0d4";
}
.fa-google-plus:before {
  content: "\f0d5";
}
.fa-money:before {
  content: "\f0d6";
}
.fa-caret-down:before {
  content: "\f0d7";
}
.fa-caret-up:before {
  content: "\f0d8";
}
.fa-caret-left:before {
  content: "\f0d9";
}
.fa-caret-right:before {
  content: "\f0da";
}
.fa-columns:before {
  content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
  content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
  content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
  content: "\f0de";
}
.fa-envelope:before {
  content: "\f0e0";
}
.fa-linkedin:before {
  content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
  content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
  content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
  content: "\f0e4";
}
.fa-comment-o:before {
  content: "\f0e5";
}
.fa-comments-o:before {
  content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
  content: "\f0e7";
}
.fa-sitemap:before {
  content: "\f0e8";
}
.fa-umbrella:before {
  content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
  content: "\f0ea";
}
.fa-lightbulb-o:before {
  content: "\f0eb";
}
.fa-exchange:before {
  content: "\f0ec";
}
.fa-cloud-download:before {
  content: "\f0ed";
}
.fa-cloud-upload:before {
  content: "\f0ee";
}
.fa-user-md:before {
  content: "\f0f0";
}
.fa-stethoscope:before {
  content: "\f0f1";
}
.fa-suitcase:before {
  content: "\f0f2";
}
.fa-bell-o:before {
  content: "\f0a2";
}
.fa-coffee:before {
  content: "\f0f4";
}
.fa-cutlery:before {
  content: "\f0f5";
}
.fa-file-text-o:before {
  content: "\f0f6";
}
.fa-building-o:before {
  content: "\f0f7";
}
.fa-hospital-o:before {
  content: "\f0f8";
}
.fa-ambulance:before {
  content: "\f0f9";
}
.fa-medkit:before {
  content: "\f0fa";
}
.fa-fighter-jet:before {
  content: "\f0fb";
}
.fa-beer:before {
  content: "\f0fc";
}
.fa-h-square:before {
  content: "\f0fd";
}
.fa-plus-square:before {
  content: "\f0fe";
}
.fa-angle-double-left:before {
  content: "\f100";
}
.fa-angle-double-right:before {
  content: "\f101";
}
.fa-angle-double-up:before {
  content: "\f102";
}
.fa-angle-double-down:before {
  content: "\f103";
}
.fa-angle-left:before {
  content: "\f104";
}
.fa-angle-right:before {
  content: "\f105";
}
.fa-angle-up:before {
  content: "\f106";
}
.fa-angle-down:before {
  content: "\f107";
}
.fa-desktop:before {
  content: "\f108";
}
.fa-laptop:before {
  content: "\f109";
}
.fa-tablet:before {
  content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
  content: "\f10b";
}
.fa-circle-o:before {
  content: "\f10c";
}
.fa-quote-left:before {
  content: "\f10d";
}
.fa-quote-right:before {
  content: "\f10e";
}
.fa-spinner:before {
  content: "\f110";
}
.fa-circle:before {
  content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
  content: "\f112";
}
.fa-github-alt:before {
  content: "\f113";
}
.fa-folder-o:before {
  content: "\f114";
}
.fa-folder-open-o:before {
  content: "\f115";
}
.fa-smile-o:before {
  content: "\f118";
}
.fa-frown-o:before {
  content: "\f119";
}
.fa-meh-o:before {
  content: "\f11a";
}
.fa-gamepad:before {
  content: "\f11b";
}
.fa-keyboard-o:before {
  content: "\f11c";
}
.fa-flag-o:before {
  content: "\f11d";
}
.fa-flag-checkered:before {
  content: "\f11e";
}
.fa-terminal:before {
  content: "\f120";
}
.fa-code:before {
  content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
  content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
  content: "\f123";
}
.fa-location-arrow:before {
  content: "\f124";
}
.fa-crop:before {
  content: "\f125";
}
.fa-code-fork:before {
  content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
  content: "\f127";
}
.fa-question:before {
  content: "\f128";
}
.fa-info:before {
  content: "\f129";
}
.fa-exclamation:before {
  content: "\f12a";
}
.fa-superscript:before {
  content: "\f12b";
}
.fa-subscript:before {
  content: "\f12c";
}
.fa-eraser:before {
  content: "\f12d";
}
.fa-puzzle-piece:before {
  content: "\f12e";
}
.fa-microphone:before {
  content: "\f130";
}
.fa-microphone-slash:before {
  content: "\f131";
}
.fa-shield:before {
  content: "\f132";
}
.fa-calendar-o:before {
  content: "\f133";
}
.fa-fire-extinguisher:before {
  content: "\f134";
}
.fa-rocket:before {
  content: "\f135";
}
.fa-maxcdn:before {
  content: "\f136";
}
.fa-chevron-circle-left:before {
  content: "\f137";
}
.fa-chevron-circle-right:before {
  content: "\f138";
}
.fa-chevron-circle-up:before {
  content: "\f139";
}
.fa-chevron-circle-down:before {
  content: "\f13a";
}
.fa-html5:before {
  content: "\f13b";
}
.fa-css3:before {
  content: "\f13c";
}
.fa-anchor:before {
  content: "\f13d";
}
.fa-unlock-alt:before {
  content: "\f13e";
}
.fa-bullseye:before {
  content: "\f140";
}
.fa-ellipsis-h:before {
  content: "\f141";
}
.fa-ellipsis-v:before {
  content: "\f142";
}
.fa-rss-square:before {
  content: "\f143";
}
.fa-play-circle:before {
  content: "\f144";
}
.fa-ticket:before {
  content: "\f145";
}
.fa-minus-square:before {
  content: "\f146";
}
.fa-minus-square-o:before {
  content: "\f147";
}
.fa-level-up:before {
  content: "\f148";
}
.fa-level-down:before {
  content: "\f149";
}
.fa-check-square:before {
  content: "\f14a";
}
.fa-pencil-square:before {
  content: "\f14b";
}
.fa-external-link-square:before {
  content: "\f14c";
}
.fa-share-square:before {
  content: "\f14d";
}
.fa-compass:before {
  content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
  content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
  content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
  content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
  content: "\f153";
}
.fa-gbp:before {
  content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
  content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
  content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
  content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
  content: "\f158";
}
.fa-won:before,
.fa-krw:before {
  content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
  content: "\f15a";
}
.fa-file:before {
  content: "\f15b";
}
.fa-file-text:before {
  content: "\f15c";
}
.fa-sort-alpha-asc:before {
  content: "\f15d";
}
.fa-sort-alpha-desc:before {
  content: "\f15e";
}
.fa-sort-amount-asc:before {
  content: "\f160";
}
.fa-sort-amount-desc:before {
  content: "\f161";
}
.fa-sort-numeric-asc:before {
  content: "\f162";
}
.fa-sort-numeric-desc:before {
  content: "\f163";
}
.fa-thumbs-up:before {
  content: "\f164";
}
.fa-thumbs-down:before {
  content: "\f165";
}
.fa-youtube-square:before {
  content: "\f166";
}
.fa-youtube:before {
  content: "\f167";
}
.fa-xing:before {
  content: "\f168";
}
.fa-xing-square:before {
  content: "\f169";
}
.fa-youtube-play:before {
  content: "\f16a";
}
.fa-dropbox:before {
  content: "\f16b";
}
.fa-stack-overflow:before {
  content: "\f16c";
}
.fa-instagram:before {
  content: "\f16d";
}
.fa-flickr:before {
  content: "\f16e";
}
.fa-adn:before {
  content: "\f170";
}
.fa-bitbucket:before {
  content: "\f171";
}
.fa-bitbucket-square:before {
  content: "\f172";
}
.fa-tumblr:before {
  content: "\f173";
}
.fa-tumblr-square:before {
  content: "\f174";
}
.fa-long-arrow-down:before {
  content: "\f175";
}
.fa-long-arrow-up:before {
  content: "\f176";
}
.fa-long-arrow-left:before {
  content: "\f177";
}
.fa-long-arrow-right:before {
  content: "\f178";
}
.fa-apple:before {
  content: "\f179";
}
.fa-windows:before {
  content: "\f17a";
}
.fa-android:before {
  content: "\f17b";
}
.fa-linux:before {
  content: "\f17c";
}
.fa-dribbble:before {
  content: "\f17d";
}
.fa-skype:before {
  content: "\f17e";
}
.fa-foursquare:before {
  content: "\f180";
}
.fa-trello:before {
  content: "\f181";
}
.fa-female:before {
  content: "\f182";
}
.fa-male:before {
  content: "\f183";
}
.fa-gittip:before {
  content: "\f184";
}
.fa-sun-o:before {
  content: "\f185";
}
.fa-moon-o:before {
  content: "\f186";
}
.fa-archive:before {
  content: "\f187";
}
.fa-bug:before {
  content: "\f188";
}
.fa-vk:before {
  content: "\f189";
}
.fa-weibo:before {
  content: "\f18a";
}
.fa-renren:before {
  content: "\f18b";
}
.fa-pagelines:before {
  content: "\f18c";
}
.fa-stack-exchange:before {
  content: "\f18d";
}
.fa-arrow-circle-o-right:before {
  content: "\f18e";
}
.fa-arrow-circle-o-left:before {
  content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
  content: "\f191";
}
.fa-dot-circle-o:before {
  content: "\f192";
}
.fa-wheelchair:before {
  content: "\f193";
}
.fa-vimeo-square:before {
  content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
  content: "\f195";
}
.fa-plus-square-o:before {
  content: "\f196";
}
.fa-space-shuttle:before {
  content: "\f197";
}
.fa-slack:before {
  content: "\f198";
}
.fa-envelope-square:before {
  content: "\f199";
}
.fa-wordpress:before {
  content: "\f19a";
}
.fa-openid:before {
  content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
  content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
  content: "\f19d";
}
.fa-yahoo:before {
  content: "\f19e";
}
.fa-google:before {
  content: "\f1a0";
}
.fa-reddit:before {
  content: "\f1a1";
}
.fa-reddit-square:before {
  content: "\f1a2";
}
.fa-stumbleupon-circle:before {
  content: "\f1a3";
}
.fa-stumbleupon:before {
  content: "\f1a4";
}
.fa-delicious:before {
  content: "\f1a5";
}
.fa-digg:before {
  content: "\f1a6";
}
.fa-pied-piper:before {
  content: "\f1a7";
}
.fa-pied-piper-alt:before {
  content: "\f1a8";
}
.fa-drupal:before {
  content: "\f1a9";
}
.fa-joomla:before {
  content: "\f1aa";
}
.fa-language:before {
  content: "\f1ab";
}
.fa-fax:before {
  content: "\f1ac";
}
.fa-building:before {
  content: "\f1ad";
}
.fa-child:before {
  content: "\f1ae";
}
.fa-paw:before {
  content: "\f1b0";
}
.fa-spoon:before {
  content: "\f1b1";
}
.fa-cube:before {
  content: "\f1b2";
}
.fa-cubes:before {
  content: "\f1b3";
}
.fa-behance:before {
  content: "\f1b4";
}
.fa-behance-square:before {
  content: "\f1b5";
}
.fa-steam:before {
  content: "\f1b6";
}
.fa-steam-square:before {
  content: "\f1b7";
}
.fa-recycle:before {
  content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
  content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
  content: "\f1ba";
}
.fa-tree:before {
  content: "\f1bb";
}
.fa-spotify:before {
  content: "\f1bc";
}
.fa-deviantart:before {
  content: "\f1bd";
}
.fa-soundcloud:before {
  content: "\f1be";
}
.fa-database:before {
  content: "\f1c0";
}
.fa-file-pdf-o:before {
  content: "\f1c1";
}
.fa-file-word-o:before {
  content: "\f1c2";
}
.fa-file-excel-o:before {
  content: "\f1c3";
}
.fa-file-powerpoint-o:before {
  content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
  content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
  content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
  content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
  content: "\f1c8";
}
.fa-file-code-o:before {
  content: "\f1c9";
}
.fa-vine:before {
  content: "\f1ca";
}
.fa-codepen:before {
  content: "\f1cb";
}
.fa-jsfiddle:before {
  content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
  content: "\f1cd";
}
.fa-circle-o-notch:before {
  content: "\f1ce";
}
.fa-ra:before,
.fa-rebel:before {
  content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
  content: "\f1d1";
}
.fa-git-square:before {
  content: "\f1d2";
}
.fa-git:before {
  content: "\f1d3";
}
.fa-hacker-news:before {
  content: "\f1d4";
}
.fa-tencent-weibo:before {
  content: "\f1d5";
}
.fa-qq:before {
  content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
  content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
  content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
  content: "\f1d9";
}
.fa-history:before {
  content: "\f1da";
}
.fa-circle-thin:before {
  content: "\f1db";
}
.fa-header:before {
  content: "\f1dc";
}
.fa-paragraph:before {
  content: "\f1dd";
}
.fa-sliders:before {
  content: "\f1de";
}
.fa-share-alt:before {
  content: "\f1e0";
}
.fa-share-alt-square:before {
  content: "\f1e1";
}
.fa-bomb:before {
  content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
  content: "\f1e3";
}
.fa-tty:before {
  content: "\f1e4";
}
.fa-binoculars:before {
  content: "\f1e5";
}
.fa-plug:before {
  content: "\f1e6";
}
.fa-slideshare:before {
  content: "\f1e7";
}
.fa-twitch:before {
  content: "\f1e8";
}
.fa-yelp:before {
  content: "\f1e9";
}
.fa-newspaper-o:before {
  content: "\f1ea";
}
.fa-wifi:before {
  content: "\f1eb";
}
.fa-calculator:before {
  content: "\f1ec";
}
.fa-paypal:before {
  content: "\f1ed";
}
.fa-google-wallet:before {
  content: "\f1ee";
}
.fa-cc-visa:before {
  content: "\f1f0";
}
.fa-cc-mastercard:before {
  content: "\f1f1";
}
.fa-cc-discover:before {
  content: "\f1f2";
}
.fa-cc-amex:before {
  content: "\f1f3";
}
.fa-cc-paypal:before {
  content: "\f1f4";
}
.fa-cc-stripe:before {
  content: "\f1f5";
}
.fa-bell-slash:before {
  content: "\f1f6";
}
.fa-bell-slash-o:before {
  content: "\f1f7";
}
.fa-trash:before {
  content: "\f1f8";
}
.fa-copyright:before {
  content: "\f1f9";
}
.fa-at:before {
  content: "\f1fa";
}
.fa-eyedropper:before {
  content: "\f1fb";
}
.fa-paint-brush:before {
  content: "\f1fc";
}
.fa-birthday-cake:before {
  content: "\f1fd";
}
.fa-area-chart:before {
  content: "\f1fe";
}
.fa-pie-chart:before {
  content: "\f200";
}
.fa-line-chart:before {
  content: "\f201";
}
.fa-lastfm:before {
  content: "\f202";
}
.fa-lastfm-square:before {
  content: "\f203";
}
.fa-toggle-off:before {
  content: "\f204";
}
.fa-toggle-on:before {
  content: "\f205";
}
.fa-bicycle:before {
  content: "\f206";
}
.fa-bus:before {
  content: "\f207";
}
.fa-ioxhost:before {
  content: "\f208";
}
.fa-angellist:before {
  content: "\f209";
}
.fa-cc:before {
  content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
  content: "\f20b";
}
.fa-meanpath:before {
  content: "\f20c";
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
code {
  color: #000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

    Firefox 28.0+
    Chrome 29.0+
    Internet Explorer 11+ 
    Opera 17.0+

Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
.hbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.vbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
.vbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
  /* Old browsers */
  -webkit-box-direction: reverse;
  -moz-box-direction: reverse;
  box-direction: reverse;
  /* Modern browsers */
  flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
  /* Old browsers */
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
  /* Old browsers */
  -webkit-box-flex: 2;
  -moz-box-flex: 2;
  box-flex: 2;
  /* Modern browsers */
  flex: 2;
}
.box-group1 {
  /*  Deprecated */
  -webkit-box-flex-group: 1;
  -moz-box-flex-group: 1;
  box-flex-group: 1;
}
.box-group2 {
  /* Deprecated */
  -webkit-box-flex-group: 2;
  -moz-box-flex-group: 2;
  box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
  /* Old browsers */
  -webkit-box-pack: start;
  -moz-box-pack: start;
  box-pack: start;
  /* Modern browsers */
  justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
  /* Old browsers */
  -webkit-box-pack: center;
  -moz-box-pack: center;
  box-pack: center;
  /* Modern browsers */
  justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
  /* Old browsers */
  -webkit-box-pack: baseline;
  -moz-box-pack: baseline;
  box-pack: baseline;
  /* Modern browsers */
  justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
  /* Old browsers */
  -webkit-box-pack: stretch;
  -moz-box-pack: stretch;
  box-pack: stretch;
  /* Modern browsers */
  justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
  /* Old browsers */
  -webkit-box-align: start;
  -moz-box-align: start;
  box-align: start;
  /* Modern browsers */
  align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
  /* Old browsers */
  -webkit-box-align: end;
  -moz-box-align: end;
  box-align: end;
  /* Modern browsers */
  align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
  /* Old browsers */
  -webkit-box-align: center;
  -moz-box-align: center;
  box-align: center;
  /* Modern browsers */
  align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
  /* Old browsers */
  -webkit-box-align: baseline;
  -moz-box-align: baseline;
  box-align: baseline;
  /* Modern browsers */
  align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
  /* Old browsers */
  -webkit-box-align: stretch;
  -moz-box-align: stretch;
  box-align: stretch;
  /* Modern browsers */
  align-items: stretch;
}
div.error {
  margin: 2em;
  text-align: center;
}
div.error > h1 {
  font-size: 500%;
  line-height: normal;
}
div.error > p {
  font-size: 200%;
  line-height: normal;
}
div.traceback-wrapper {
  text-align: left;
  max-width: 800px;
  margin: auto;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
body {
  background-color: #fff;
  /* This makes sure that the body covers the entire window and needs to
       be in a different element than the display: box in wrapper below */
  position: absolute;
  left: 0px;
  right: 0px;
  top: 0px;
  bottom: 0px;
  overflow: visible;
}
body > #header {
  /* Initially hidden to prevent FLOUC */
  display: none;
  background-color: #fff;
  /* Display over codemirror */
  position: relative;
  z-index: 100;
}
body > #header #header-container {
  padding-bottom: 5px;
  padding-top: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
body > #header .header-bar {
  width: 100%;
  height: 1px;
  background: #e7e7e7;
  margin-bottom: -1px;
}
@media print {
  body > #header {
    display: none !important;
  }
}
#header-spacer {
  width: 100%;
  visibility: hidden;
}
@media print {
  #header-spacer {
    display: none;
  }
}
#ipython_notebook {
  padding-left: 0px;
  padding-top: 1px;
  padding-bottom: 1px;
}
@media (max-width: 991px) {
  #ipython_notebook {
    margin-left: 10px;
  }
}
#noscript {
  width: auto;
  padding-top: 16px;
  padding-bottom: 16px;
  text-align: center;
  font-size: 22px;
  color: red;
  font-weight: bold;
}
#ipython_notebook img {
  height: 28px;
}
#site {
  width: 100%;
  display: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  overflow: auto;
}
@media print {
  #site {
    height: auto !important;
  }
}
/* Smaller buttons */
.ui-button .ui-button-text {
  padding: 0.2em 0.8em;
  font-size: 77%;
}
input.ui-button {
  padding: 0.3em 0.9em;
}
span#login_widget {
  float: right;
}
span#login_widget > .button,
#logout {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button:focus,
#logout:focus,
span#login_widget > .button.focus,
#logout.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  background-image: none;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus {
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button .badge,
#logout .badge {
  color: #fff;
  background-color: #333;
}
.nav-header {
  text-transform: none;
}
#header > span {
  margin-top: 10px;
}
.modal_stretch .modal-dialog {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
  max-height: calc(100vh - 200px);
  overflow: auto;
  flex: 1;
}
@media (min-width: 768px) {
  .modal .modal-dialog {
    width: 700px;
  }
}
@media (min-width: 768px) {
  select.form-control {
    margin-left: 12px;
    margin-right: 12px;
  }
}
/*!
*
* IPython auth
*
*/
.center-nav {
  display: inline-block;
  margin-bottom: -4px;
}
/*!
*
* IPython tree view
*
*/
/* We need an invisible input field on top of the sentense*/
/* "Drag file onto the list ..." */
.alternate_upload {
  background-color: none;
  display: inline;
}
.alternate_upload.form {
  padding: 0;
  margin: 0;
}
.alternate_upload input.fileinput {
  text-align: center;
  vertical-align: middle;
  display: inline;
  opacity: 0;
  z-index: 2;
  width: 12ex;
  margin-right: -12ex;
}
.alternate_upload .btn-upload {
  height: 22px;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
ul#tabs {
  margin-bottom: 4px;
}
ul#tabs a {
  padding-top: 6px;
  padding-bottom: 4px;
}
ul.breadcrumb a:focus,
ul.breadcrumb a:hover {
  text-decoration: none;
}
ul.breadcrumb i.icon-home {
  font-size: 16px;
  margin-right: 4px;
}
ul.breadcrumb span {
  color: #5e5e5e;
}
.list_toolbar {
  padding: 4px 0 4px 0;
  vertical-align: middle;
}
.list_toolbar .tree-buttons {
  padding-top: 1px;
}
.dynamic-buttons {
  padding-top: 3px;
  display: inline-block;
}
.list_toolbar [class*="span"] {
  min-height: 24px;
}
.list_header {
  font-weight: bold;
  background-color: #EEE;
}
.list_placeholder {
  font-weight: bold;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
}
.list_container {
  margin-top: 4px;
  margin-bottom: 20px;
  border: 1px solid #ddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #ddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #ddd;
}
.list_item a {
  text-decoration: none;
}
.list_item:hover {
  background-color: #fafafa;
}
.list_header > div,
.list_item > div {
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
.list_header > div input,
.list_item > div input {
  margin-right: 7px;
  margin-left: 14px;
  vertical-align: baseline;
  line-height: 22px;
  position: relative;
  top: -1px;
}
.list_header > div .item_link,
.list_item > div .item_link {
  margin-left: -1px;
  vertical-align: baseline;
  line-height: 22px;
}
.new-file input[type=checkbox] {
  visibility: hidden;
}
.item_name {
  line-height: 22px;
  height: 24px;
}
.item_icon {
  font-size: 14px;
  color: #5e5e5e;
  margin-right: 7px;
  margin-left: 7px;
  line-height: 22px;
  vertical-align: baseline;
}
.item_buttons {
  line-height: 1em;
  margin-left: -5px;
}
.item_buttons .btn,
.item_buttons .btn-group,
.item_buttons .input-group {
  float: left;
}
.item_buttons > .btn,
.item_buttons > .btn-group,
.item_buttons > .input-group {
  margin-left: 5px;
}
.item_buttons .btn {
  min-width: 13ex;
}
.item_buttons .running-indicator {
  padding-top: 4px;
  color: #5cb85c;
}
.item_buttons .kernel-name {
  padding-top: 4px;
  color: #5bc0de;
  margin-right: 7px;
  float: left;
}
.toolbar_info {
  height: 24px;
  line-height: 24px;
}
.list_item input:not([type=checkbox]) {
  padding-top: 3px;
  padding-bottom: 3px;
  height: 22px;
  line-height: 14px;
  margin: 0px;
}
.highlight_text {
  color: blue;
}
#project_name {
  display: inline-block;
  padding-left: 7px;
  margin-left: -2px;
}
#project_name > .breadcrumb {
  padding: 0px;
  margin-bottom: 0px;
  background-color: transparent;
  font-weight: bold;
}
#tree-selector {
  padding-right: 0px;
}
#button-select-all {
  min-width: 50px;
}
#select-all {
  margin-left: 7px;
  margin-right: 2px;
}
.menu_icon {
  margin-right: 2px;
}
.tab-content .row {
  margin-left: 0px;
  margin-right: 0px;
}
.folder_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f114";
}
.folder_icon:before.pull-left {
  margin-right: .3em;
}
.folder_icon:before.pull-right {
  margin-left: .3em;
}
.notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
}
.notebook_icon:before.pull-left {
  margin-right: .3em;
}
.notebook_icon:before.pull-right {
  margin-left: .3em;
}
.running_notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
  color: #5cb85c;
}
.running_notebook_icon:before.pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.pull-right {
  margin-left: .3em;
}
.file_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f016";
  position: relative;
  top: -2px;
}
.file_icon:before.pull-left {
  margin-right: .3em;
}
.file_icon:before.pull-right {
  margin-left: .3em;
}
#notebook_toolbar .pull-right {
  padding-top: 0px;
  margin-right: -1px;
}
ul#new-menu {
  left: auto;
  right: 0;
}
.kernel-menu-icon {
  padding-right: 12px;
  width: 24px;
  content: "\f096";
}
.kernel-menu-icon:before {
  content: "\f096";
}
.kernel-menu-icon-current:before {
  content: "\f00c";
}
#tab_content {
  padding-top: 20px;
}
#running .panel-group .panel {
  margin-top: 3px;
  margin-bottom: 1em;
}
#running .panel-group .panel .panel-heading {
  background-color: #EEE;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
  text-decoration: none;
}
#running .panel-group .panel .panel-body {
  padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
  margin-top: 0px;
  margin-bottom: 0px;
  border: 0px;
  border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
  border-bottom: 1px solid #ddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
  border-bottom: 0px;
}
.delete-button {
  display: none;
}
.duplicate-button {
  display: none;
}
.rename-button {
  display: none;
}
.shutdown-button {
  display: none;
}
.dynamic-instructions {
  display: inline-block;
  padding-top: 4px;
}
/*!
*
* IPython text editor webapp
*
*/
.selected-keymap i.fa {
  padding: 0px 5px;
}
.selected-keymap i.fa:before {
  content: "\f00c";
}
#mode-menu {
  overflow: auto;
  max-height: 20em;
}
.edit_app #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.edit_app #menubar .navbar {
  /* Use a negative 1 bottom margin, so the border overlaps the border of the
    header */
  margin-bottom: -1px;
}
.dirty-indicator {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator.pull-left {
  margin-right: .3em;
}
.dirty-indicator.pull-right {
  margin-left: .3em;
}
.dirty-indicator-dirty {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-dirty.pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-clean.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f00c";
}
.dirty-indicator-clean:before.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.pull-right {
  margin-left: .3em;
}
#filename {
  font-size: 16pt;
  display: table;
  padding: 0px 5px;
}
#current-mode {
  padding-left: 5px;
  padding-right: 5px;
}
#texteditor-backdrop {
  padding-top: 20px;
  padding-bottom: 20px;
}
@media not print {
  #texteditor-backdrop {
    background-color: #EEE;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #fff;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI colors. */
.ansibold {
  font-weight: bold;
}
/* use dark versions for foreground, to improve visibility */
.ansiblack {
  color: black;
}
.ansired {
  color: darkred;
}
.ansigreen {
  color: darkgreen;
}
.ansiyellow {
  color: #c4a000;
}
.ansiblue {
  color: darkblue;
}
.ansipurple {
  color: darkviolet;
}
.ansicyan {
  color: steelblue;
}
.ansigray {
  color: gray;
}
/* and light for background, for the same reason */
.ansibgblack {
  background-color: black;
}
.ansibgred {
  background-color: red;
}
.ansibggreen {
  background-color: green;
}
.ansibgyellow {
  background-color: yellow;
}
.ansibgblue {
  background-color: blue;
}
.ansibgpurple {
  background-color: magenta;
}
.ansibgcyan {
  background-color: cyan;
}
.ansibggray {
  background-color: gray;
}
div.cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  border-radius: 2px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  border-width: 1px;
  border-style: solid;
  border-color: transparent;
  width: 100%;
  padding: 5px;
  /* This acts as a spacer between cells, that is outside the border */
  margin: 0px;
  outline: none;
  border-left-width: 1px;
  padding-left: 5px;
  background: linear-gradient(to right, transparent -40px, transparent 1px, transparent 1px, transparent 100%);
}
div.cell.jupyter-soft-selected {
  border-left-color: #90CAF9;
  border-left-color: #E3F2FD;
  border-left-width: 1px;
  padding-left: 5px;
  border-right-color: #E3F2FD;
  border-right-width: 1px;
  background: #E3F2FD;
}
@media print {
  div.cell.jupyter-soft-selected {
    border-color: transparent;
  }
}
div.cell.selected {
  border-color: #ababab;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 5px, transparent 5px, transparent 100%);
}
@media print {
  div.cell.selected {
    border-color: transparent;
  }
}
div.cell.selected.jupyter-soft-selected {
  border-left-width: 0;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 7px, #E3F2FD 7px, #E3F2FD 100%);
}
.edit_mode div.cell.selected {
  border-color: #66BB6A;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #66BB6A -40px, #66BB6A 5px, transparent 5px, transparent 100%);
}
@media print {
  .edit_mode div.cell.selected {
    border-color: transparent;
  }
}
.prompt {
  /* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
  min-width: 14ex;
  /* This padding is tuned to match the padding on the CodeMirror editor. */
  padding: 0.4em;
  margin: 0px;
  font-family: monospace;
  text-align: right;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
  /* Don't highlight prompt number selection */
  -webkit-touch-callout: none;
  -webkit-user-select: none;
  -khtml-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
  /* Use default cursor */
  cursor: default;
}
@media (max-width: 540px) {
  .prompt {
    text-align: left;
  }
}
div.inner_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
@-moz-document url-prefix() {
  div.inner_cell {
    overflow-x: hidden;
  }
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
  border: 1px solid #cfcfcf;
  border-radius: 2px;
  background: #f7f7f7;
  line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
   is no content in the output_subarea and the prompt. The main purpose of this is
   to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
  padding-top: 0;
  padding-bottom: 0;
}
div.unrecognized_cell {
  padding: 5px 5px 5px 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.unrecognized_cell .inner_cell {
  border-radius: 2px;
  padding: 5px;
  font-weight: bold;
  color: red;
  border: 1px solid #cfcfcf;
  background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
  color: inherit;
  text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
  color: inherit;
  text-decoration: none;
}
@media (max-width: 540px) {
  div.unrecognized_cell > div.prompt {
    display: none;
  }
}
div.code_cell {
  /* avoid page breaking on code cells when printing */
}
@media print {
  div.code_cell {
    page-break-inside: avoid;
  }
}
/* any special styling for code cells that are currently running goes here */
div.input {
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.input {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
  color: #303F9F;
  border-top: 1px solid transparent;
}
div.input_area > div.highlight {
  margin: 0.4em;
  border: none;
  padding: 0px;
  background-color: transparent;
}
div.input_area > div.highlight > pre {
  margin: 0px;
  border: none;
  padding: 0px;
  background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
 * monospace font with inconsistent normal/bold/italic height.  See
 * notebookmain.js.  Such fonts will have keywords vertically offset with
 * respect to the rest of the text.  The user should select a better font.
 * See: https://github.com/ipython/ipython/issues/1503
 *
 * .CodeMirror span {
 *      vertical-align: bottom;
 * }
 */
.CodeMirror {
  line-height: 1.21429em;
  /* Changed from 1em to our global default */
  font-size: 14px;
  height: auto;
  /* Changed to auto to autogrow */
  background: none;
  /* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
  /*  The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
  /*  We have found that if it is visible, vertical scrollbars appear with font size changes.*/
  overflow-y: hidden;
  overflow-x: auto;
}
.CodeMirror-lines {
  /* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
  /* we have set a different line-height and want this to scale with that. */
  padding: 0.4em;
}
.CodeMirror-linenumber {
  padding: 0 8px 0 4px;
}
.CodeMirror-gutters {
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.CodeMirror pre {
  /* In CM3 this went to 4px from 0 in CM2. We need the 0 value because of how we size */
  /* .CodeMirror-lines */
  padding: 0;
  border: 0;
  border-radius: 0;
}
/*

Original style from softwaremaniacs.org (c) Ivan Sagalaev <Maniac@SoftwareManiacs.Org>
Adapted from GitHub theme

*/
.highlight-base {
  color: #000;
}
.highlight-variable {
  color: #000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #408080;
  font-style: italic;
}
.highlight-number {
  color: #080;
}
.highlight-atom {
  color: #88F;
}
.highlight-keyword {
  color: #008000;
  font-weight: bold;
}
.highlight-builtin {
  color: #008000;
}
.highlight-error {
  color: #f00;
}
.highlight-operator {
  color: #AA22FF;
  font-weight: bold;
}
.highlight-meta {
  color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
  color: #00f;
}
.highlight-string-2 {
  color: #f50;
}
.highlight-qualifier {
  color: #555;
}
.highlight-bracket {
  color: #997;
}
.highlight-tag {
  color: #170;
}
.highlight-attribute {
  color: #00c;
}
.highlight-header {
  color: blue;
}
.highlight-quote {
  color: #090;
}
.highlight-link {
  color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
  color: #008000;
  font-weight: bold;
}
.cm-s-ipython span.cm-atom {
  color: #88F;
}
.cm-s-ipython span.cm-number {
  color: #080;
}
.cm-s-ipython span.cm-def {
  color: #00f;
}
.cm-s-ipython span.cm-variable {
  color: #000;
}
.cm-s-ipython span.cm-operator {
  color: #AA22FF;
  font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
  color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
  color: #333333;
}
.cm-s-ipython span.cm-comment {
  color: #408080;
  font-style: italic;
}
.cm-s-ipython span.cm-string {
  color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
  color: #f50;
}
.cm-s-ipython span.cm-meta {
  color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
  color: #555;
}
.cm-s-ipython span.cm-builtin {
  color: #008000;
}
.cm-s-ipython span.cm-bracket {
  color: #997;
}
.cm-s-ipython span.cm-tag {
  color: #170;
}
.cm-s-ipython span.cm-attribute {
  color: #00c;
}
.cm-s-ipython span.cm-header {
  color: blue;
}
.cm-s-ipython span.cm-quote {
  color: #090;
}
.cm-s-ipython span.cm-link {
  color: #00c;
}
.cm-s-ipython span.cm-error {
  color: #f00;
}
.cm-s-ipython span.cm-tab {
  background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
  background-position: right;
  background-repeat: no-repeat;
}
div.output_wrapper {
  /* this position must be relative to enable descendents to be absolute within it */
  position: relative;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
  /* ideally, this would be max-height, but FF barfs all over that */
  height: 24em;
  /* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
  width: 100%;
  overflow: auto;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
  margin: 0px;
  padding: 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
div.out_prompt_overlay {
  height: 100%;
  padding: 0px 0.4em;
  position: absolute;
  border-radius: 2px;
}
div.out_prompt_overlay:hover {
  /* use inner shadow to get border that is computed the same on WebKit/FF */
  -webkit-box-shadow: inset 0 0 1px #000;
  box-shadow: inset 0 0 1px #000;
  background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
  color: #D84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
  padding: 0px;
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.output_area .MathJax_Display {
  text-align: left !important;
}
div.output_area .rendered_html table {
  margin-left: 0;
  margin-right: 0;
}
div.output_area .rendered_html img {
  margin-left: 0;
  margin-right: 0;
}
div.output_area img,
div.output_area svg {
  max-width: 100%;
  height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
  max-width: none;
}
/* This is needed to protect the pre formating from global settings such
   as that of bootstrap */
.output {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.output_area {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
div.output_area pre {
  margin: 0;
  padding: 0;
  border: 0;
  vertical-align: baseline;
  color: black;
  background-color: transparent;
  border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
   the prompt div. */
div.output_subarea {
  overflow-x: auto;
  padding: 0.4em;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
  max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
  overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
   output types */
/* all text output has this class: */
div.output_text {
  text-align: left;
  color: #000;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
  background: #fdd;
  /* very light red background for stderr */
}
div.output_latex {
  text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
  padding: 0;
}
.js-error {
  color: darkred;
}
/* raw_input styles */
div.raw_input_container {
  line-height: 1.21429em;
  padding-top: 5px;
}
pre.raw_input_prompt {
  /* nothing needed here. */
}
input.raw_input {
  font-family: monospace;
  font-size: inherit;
  color: inherit;
  width: auto;
  /* make sure input baseline aligns with prompt */
  vertical-align: baseline;
  /* padding + margin = 0.5em between prompt and cursor */
  padding: 0em 0.25em;
  margin: 0em 0.25em;
}
input.raw_input:focus {
  box-shadow: none;
}
p.p-space {
  margin-bottom: 10px;
}
div.output_unrecognized {
  padding: 5px;
  font-weight: bold;
  color: red;
}
div.output_unrecognized a {
  color: inherit;
  text-decoration: none;
}
div.output_unrecognized a:hover {
  color: inherit;
  text-decoration: none;
}
.rendered_html {
  color: #000;
  /* any extras will just be numbers: */
}
.rendered_html em {
  font-style: italic;
}
.rendered_html strong {
  font-weight: bold;
}
.rendered_html u {
  text-decoration: underline;
}
.rendered_html :link {
  text-decoration: underline;
}
.rendered_html :visited {
  text-decoration: underline;
}
.rendered_html h1 {
  font-size: 185.7%;
  margin: 1.08em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h2 {
  font-size: 157.1%;
  margin: 1.27em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h3 {
  font-size: 128.6%;
  margin: 1.55em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h4 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h5 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h6 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h1:first-child {
  margin-top: 0.538em;
}
.rendered_html h2:first-child {
  margin-top: 0.636em;
}
.rendered_html h3:first-child {
  margin-top: 0.777em;
}
.rendered_html h4:first-child {
  margin-top: 1em;
}
.rendered_html h5:first-child {
  margin-top: 1em;
}
.rendered_html h6:first-child {
  margin-top: 1em;
}
.rendered_html ul {
  list-style: disc;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ul ul {
  list-style: square;
  margin: 0em 2em;
}
.rendered_html ul ul ul {
  list-style: circle;
  margin: 0em 2em;
}
.rendered_html ol {
  list-style: decimal;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
  margin: 0em 2em;
}
.rendered_html * + ul {
  margin-top: 1em;
}
.rendered_html * + ol {
  margin-top: 1em;
}
.rendered_html hr {
  color: black;
  background-color: black;
}
.rendered_html pre {
  margin: 1em 2em;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  background-color: #fff;
  color: #000;
  font-size: 100%;
  padding: 0px;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: 1px solid black;
  border-collapse: collapse;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  border: 1px solid black;
  border-collapse: collapse;
  margin: 1em 2em;
}
.rendered_html td,
.rendered_html th {
  text-align: left;
  vertical-align: middle;
  padding: 4px;
}
.rendered_html th {
  font-weight: bold;
}
.rendered_html * + table {
  margin-top: 1em;
}
.rendered_html p {
  text-align: left;
}
.rendered_html * + p {
  margin-top: 1em;
}
.rendered_html img {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.rendered_html * + img {
  margin-top: 1em;
}
.rendered_html img,
.rendered_html svg {
  max-width: 100%;
  height: auto;
}
.rendered_html img.unconfined,
.rendered_html svg.unconfined {
  max-width: none;
}
div.text_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.text_cell > div.prompt {
    display: none;
  }
}
div.text_cell_render {
  /*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
  outline: none;
  resize: none;
  width: inherit;
  border-style: none;
  padding: 0.5em 0.5em 0.5em 0.4em;
  color: #000;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
a.anchor-link:link {
  text-decoration: none;
  padding: 0px 20px;
  visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
  visibility: visible;
}
.text_cell.rendered .input_area {
  display: none;
}
.text_cell.rendered .rendered_html {
  overflow-x: auto;
  overflow-y: hidden;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
  font-weight: bold;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
  font-size: 185.7%;
}
.cm-header-2 {
  font-size: 157.1%;
}
.cm-header-3 {
  font-size: 128.6%;
}
.cm-header-4 {
  font-size: 110%;
}
.cm-header-5 {
  font-size: 100%;
  font-style: italic;
}
.cm-header-6 {
  font-size: 100%;
  font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
  .notebook_app {
    padding-left: 0px;
    padding-right: 0px;
  }
}
#ipython-main-app {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook_panel {
  margin: 0px;
  padding: 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook {
  font-size: 14px;
  line-height: 20px;
  overflow-y: hidden;
  overflow-x: auto;
  width: 100%;
  /* This spaces the page away from the edge of the notebook area */
  padding-top: 20px;
  margin: 0px;
  outline: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  min-height: 100%;
}
@media not print {
  #notebook-container {
    padding: 15px;
    background-color: #fff;
    min-height: 0;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
@media print {
  #notebook-container {
    width: 100%;
  }
}
div.ui-widget-content {
  border: 1px solid #ababab;
  outline: none;
}
pre.dialog {
  background-color: #f7f7f7;
  border: 1px solid #ddd;
  border-radius: 2px;
  padding: 0.4em;
  padding-left: 2em;
}
p.dialog {
  padding: 0.2em;
}
/* Word-wrap output correctly.  This is the CSS3 spelling, though Firefox seems
   to not honor it correctly.  Webkit browsers (Chrome, rekonq, Safari) do.
 */
pre,
code,
kbd,
samp {
  white-space: pre-wrap;
}
#fonttest {
  font-family: monospace;
}
p {
  margin-bottom: 0;
}
.end_space {
  min-height: 100px;
  transition: height .2s ease;
}
.notebook_app > #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
  .notebook_app {
    background-color: #EEE;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
  border: thin solid #CFCFCF;
  border-bottom: none;
  background: #EEE;
  border-radius: 2px 2px 0px 0px;
  width: 100%;
  height: 29px;
  padding-right: 4px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
  display: -webkit-flex;
}
@media print {
  .celltoolbar {
    display: none;
  }
}
.ctb_hideshow {
  display: none;
  vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
   Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
  display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border-top-right-radius: 0px;
  border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border: 1px solid #cfcfcf;
}
.celltoolbar {
  font-size: 87%;
  padding-top: 3px;
}
.celltoolbar select {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  width: inherit;
  font-size: inherit;
  height: 22px;
  padding: 0px;
  display: inline-block;
}
.celltoolbar select:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999;
}
.celltoolbar select::-ms-expand {
  border: 0;
  background-color: transparent;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
  background-color: #eeeeee;
  opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
  cursor: not-allowed;
}
textarea.celltoolbar select {
  height: auto;
}
select.celltoolbar select {
  height: 30px;
  line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
  height: auto;
}
.celltoolbar label {
  margin-left: 5px;
  margin-right: 5px;
}
.completions {
  position: absolute;
  z-index: 110;
  overflow: hidden;
  border: 1px solid #ababab;
  border-radius: 2px;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  line-height: 1;
}
.completions select {
  background: white;
  outline: none;
  border: none;
  padding: 0px;
  margin: 0px;
  overflow: auto;
  font-family: monospace;
  font-size: 110%;
  color: #000;
  width: auto;
}
.completions select option.context {
  color: #286090;
}
#kernel_logo_widget {
  float: right !important;
  float: right;
}
#kernel_logo_widget .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
#menubar {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  margin-top: 1px;
}
#menubar .navbar {
  border-top: 1px;
  border-radius: 0px 0px 2px 2px;
  margin-bottom: 0px;
}
#menubar .navbar-toggle {
  float: left;
  padding-top: 7px;
  padding-bottom: 7px;
  border: none;
}
#menubar .navbar-collapse {
  clear: left;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -1px;
}
.dropdown-submenu:hover > .dropdown-menu {
  display: block;
}
.dropdown-submenu > a:after {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  display: block;
  content: "\f0da";
  float: right;
  color: #333333;
  margin-top: 2px;
  margin-right: -10px;
}
.dropdown-submenu > a:after.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
.dropdown-submenu:hover > a:after {
  color: #262626;
}
.dropdown-submenu.pull-left {
  float: none;
}
.dropdown-submenu.pull-left > .dropdown-menu {
  left: -100%;
  margin-left: 10px;
}
#notification_area {
  float: right !important;
  float: right;
  z-index: 10;
}
.indicator_area {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#kernel_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
  padding-left: 5px;
  padding-right: 5px;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  margin-top: 2px;
  margin-bottom: 0px;
  margin-left: 0px;
  margin-right: 0px;
  display: none;
}
.modal_indicator:before {
  width: 1.28571429em;
  text-align: center;
}
.edit_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f040";
}
.edit_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: ' ';
}
.command_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f10c";
}
.kernel_idle_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f111";
}
.kernel_busy_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f1e2";
}
.kernel_dead_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f127";
}
.kernel_disconnected_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
  margin-left: .3em;
}
.notification_widget {
  color: #777;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  background-image: none;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget .badge {
  color: #fff;
  background-color: #333;
}
.notification_widget.warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  background-image: none;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.notification_widget.success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  background-image: none;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.notification_widget.info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  background-image: none;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.notification_widget.danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  background-image: none;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger .badge {
  color: #d9534f;
  background-color: #fff;
}
div#pager {
  background-color: #fff;
  font-size: 14px;
  line-height: 20px;
  overflow: hidden;
  display: none;
  position: fixed;
  bottom: 0px;
  width: 100%;
  max-height: 50%;
  padding-top: 8px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  /* Display over codemirror */
  z-index: 100;
  /* Hack which prevents jquery ui resizable from changing top. */
  top: auto !important;
}
div#pager pre {
  line-height: 1.21429em;
  color: #000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-contents {
  position: relative;
  overflow: auto;
  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
  position: relative;
  padding: 15px 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
  top: 0px;
  height: 8px;
  background: #f7f7f7;
  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
  /* This injects handle bars (a short, wide = symbol) for 
        the resize handle. */
}
div#pager .ui-resizable-handle::after {
  content: '';
  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
  margin-left: -15px;
  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  line-height: 1.8em;
}
.shortcut_key {
  display: inline-block;
  width: 20ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
  display: inline-block;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
span.save_widget {
  margin-top: 6px;
}
span.save_widget span.filename {
  height: 1em;
  line-height: 1em;
  padding: 3px;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
  }
  span.checkpoint_status,
  span.autosave_status {
    display: none;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  span.checkpoint_status {
    display: none;
  }
  span.autosave_status {
    font-size: x-small;
  }
}
.toolbar {
  padding: 0px;
  margin-left: -5px;
  margin-top: 2px;
  margin-bottom: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.toolbar select,
.toolbar label {
  width: auto;
  vertical-align: middle;
  margin-right: 2px;
  margin-bottom: 0px;
  display: inline;
  font-size: 92%;
  margin-left: 0.3em;
  margin-right: 0.3em;
  padding: 0px;
  padding-top: 3px;
}
.toolbar .btn {
  padding: 2px 8px;
}
.toolbar .btn-group {
  margin-top: 0px;
  margin-left: 5px;
}
#maintoolbar {
  margin-bottom: -3px;
  margin-top: -8px;
  border: 0px;
  min-height: 27px;
  margin-left: 0px;
  padding-top: 11px;
  padding-bottom: 3px;
}
#maintoolbar .navbar-text {
  float: none;
  vertical-align: middle;
  text-align: right;
  margin-left: 5px;
  margin-right: 0px;
  margin-top: 0px;
}
.select-xs {
  height: 24px;
}
.pulse,
.dropdown-menu > li > a.pulse,
li.pulse > a.dropdown-toggle,
li.pulse.open > a.dropdown-toggle {
  background-color: #F37626;
  color: white;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
 * of chance of beeing generated from the ../less/[samename].less file, you can
 * try to get back the less file by reverting somme commit in history
 **/
/*
 * We'll try to get something pretty, so we
 * have some strange css to have the scroll bar on
 * the left with fix button on the top right of the tooltip
 */
@-moz-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-webkit-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-moz-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
@-webkit-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
/*properties of tooltip after "expand"*/
.bigtooltip {
  overflow: auto;
  height: 200px;
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
}
/*properties of tooltip before "expand"*/
.smalltooltip {
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
  text-overflow: ellipsis;
  overflow: hidden;
  height: 80px;
}
.tooltipbuttons {
  position: absolute;
  padding-right: 15px;
  top: 0px;
  right: 0px;
}
.tooltiptext {
  /*avoid the button to overlap on some docstring*/
  padding-right: 30px;
}
.ipython_tooltip {
  max-width: 700px;
  /*fade-in animation when inserted*/
  -webkit-animation: fadeOut 400ms;
  -moz-animation: fadeOut 400ms;
  animation: fadeOut 400ms;
  -webkit-animation: fadeIn 400ms;
  -moz-animation: fadeIn 400ms;
  animation: fadeIn 400ms;
  vertical-align: middle;
  background-color: #f7f7f7;
  overflow: visible;
  border: #ababab 1px solid;
  outline: none;
  padding: 3px;
  margin: 0px;
  padding-left: 7px;
  font-family: monospace;
  min-height: 50px;
  -moz-box-shadow: 0px 6px 10px -1px #adadad;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  border-radius: 2px;
  position: absolute;
  z-index: 1000;
}
.ipython_tooltip a {
  float: right;
}
.ipython_tooltip .tooltiptext pre {
  border: 0;
  border-radius: 0;
  font-size: 100%;
  background-color: #f7f7f7;
}
.pretooltiparrow {
  left: 0px;
  margin: 0px;
  top: -16px;
  width: 40px;
  height: 16px;
  overflow: hidden;
  position: absolute;
}
.pretooltiparrow:before {
  background-color: #f7f7f7;
  border: 1px #ababab solid;
  z-index: 11;
  content: "";
  position: absolute;
  left: 15px;
  top: 10px;
  width: 25px;
  height: 25px;
  -webkit-transform: rotate(45deg);
  -moz-transform: rotate(45deg);
  -ms-transform: rotate(45deg);
  -o-transform: rotate(45deg);
}
ul.typeahead-list i {
  margin-left: -10px;
  width: 18px;
}
ul.typeahead-list {
  max-height: 80vh;
  overflow: auto;
}
ul.typeahead-list > li > a {
  /** Firefox bug **/
  /* see https://github.com/jupyter/notebook/issues/559 */
  white-space: normal;
}
.cmd-palette .modal-body {
  padding: 7px;
}
.cmd-palette form {
  background: white;
}
.cmd-palette input {
  outline: none;
}
.no-shortcut {
  display: none;
}
.command-shortcut:before {
  content: "(command)";
  padding-right: 3px;
  color: #777777;
}
.edit-shortcut:before {
  content: "(edit)";
  padding-right: 3px;
  color: #777777;
}
#find-and-replace #replace-preview .match,
#find-and-replace #replace-preview .insert {
  background-color: #BBDEFB;
  border-color: #90CAF9;
  border-style: solid;
  border-width: 1px;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .match {
  background-color: #FFCDD2;
  border-color: #EF9A9A;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .insert {
  background-color: #C8E6C9;
  border-color: #A5D6A7;
  border-radius: 0px;
}
#find-and-replace #replace-preview {
  max-height: 60vh;
  overflow: auto;
}
#find-and-replace #replace-preview pre {
  padding: 5px 10px;
}
.terminal-app {
  background: #EEE;
}
.terminal-app #header {
  background: #fff;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.terminal-app .terminal {
  float: left;
  font-family: monospace;
  color: white;
  background: black;
  padding: 0.4em;
  border-radius: 2px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
}
.terminal-app .terminal,
.terminal-app .terminal dummy-screen {
  line-height: 1em;
  font-size: 14px;
}
.terminal-app .terminal-cursor {
  color: black;
  background: white;
}
.terminal-app #terminado-container {
  margin-top: 20px;
}
/*# sourceMappingURL=style.min.css.map */
    </style>
<style type="text/css">
    .highlight .hll { background-color: #ffffcc }
.highlight  { background: #f8f8f8; }
.highlight .c { color: #408080; font-style: italic } /* Comment */
.highlight .err { border: 1px solid #FF0000 } /* Error */
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
.highlight .o { color: #666666 } /* Operator */
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
.highlight .cs { color: #408080; font-style: italic } /* Comment.Special */
.highlight .gd { color: #A00000 } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .gr { color: #FF0000 } /* Generic.Error */
.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
.highlight .gi { color: #00A000 } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #000080; font-weight: bold } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
.highlight .gt { color: #0044DD } /* Generic.Traceback */
.highlight .kc { color: #008000; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008000 } /* Keyword.Pseudo */
.highlight .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #B00040 } /* Keyword.Type */
.highlight .m { color: #666666 } /* Literal.Number */
.highlight .s { color: #BA2121 } /* Literal.String */
.highlight .na { color: #7D9029 } /* Name.Attribute */
.highlight .nb { color: #008000 } /* Name.Builtin */
.highlight .nc { color: #0000FF; font-weight: bold } /* Name.Class */
.highlight .no { color: #880000 } /* Name.Constant */
.highlight .nd { color: #AA22FF } /* Name.Decorator */
.highlight .ni { color: #999999; font-weight: bold } /* Name.Entity */
.highlight .ne { color: #D2413A; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0000FF } /* Name.Function */
.highlight .nl { color: #A0A000 } /* Name.Label */
.highlight .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */
.highlight .nt { color: #008000; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #19177C } /* Name.Variable */
.highlight .ow { color: #AA22FF; font-weight: bold } /* Operator.Word */
.highlight .w { color: #bbbbbb } /* Text.Whitespace */
.highlight .mb { color: #666666 } /* Literal.Number.Bin */
.highlight .mf { color: #666666 } /* Literal.Number.Float */
.highlight .mh { color: #666666 } /* Literal.Number.Hex */
.highlight .mi { color: #666666 } /* Literal.Number.Integer */
.highlight .mo { color: #666666 } /* Literal.Number.Oct */
.highlight .sb { color: #BA2121 } /* Literal.String.Backtick */
.highlight .sc { color: #BA2121 } /* Literal.String.Char */
.highlight .sd { color: #BA2121; font-style: italic } /* Literal.String.Doc */
.highlight .s2 { color: #BA2121 } /* Literal.String.Double */
.highlight .se { color: #BB6622; font-weight: bold } /* Literal.String.Escape */
.highlight .sh { color: #BA2121 } /* Literal.String.Heredoc */
.highlight .si { color: #BB6688; font-weight: bold } /* Literal.String.Interpol */
.highlight .sx { color: #008000 } /* Literal.String.Other */
.highlight .sr { color: #BB6688 } /* Literal.String.Regex */
.highlight .s1 { color: #BA2121 } /* Literal.String.Single */
.highlight .ss { color: #19177C } /* Literal.String.Symbol */
.highlight .bp { color: #008000 } /* Name.Builtin.Pseudo */
.highlight .vc { color: #19177C } /* Name.Variable.Class */
.highlight .vg { color: #19177C } /* Name.Variable.Global */
.highlight .vi { color: #19177C } /* Name.Variable.Instance */
.highlight .il { color: #666666 } /* Literal.Number.Integer.Long */
    </style>
<style type="text/css">
    
/* Temporary definitions which will become obsolete with Notebook release 5.0 */
.ansi-black-fg { color: #3E424D; }
.ansi-black-bg { background-color: #3E424D; }
.ansi-black-intense-fg { color: #282C36; }
.ansi-black-intense-bg { background-color: #282C36; }
.ansi-red-fg { color: #E75C58; }
.ansi-red-bg { background-color: #E75C58; }
.ansi-red-intense-fg { color: #B22B31; }
.ansi-red-intense-bg { background-color: #B22B31; }
.ansi-green-fg { color: #00A250; }
.ansi-green-bg { background-color: #00A250; }
.ansi-green-intense-fg { color: #007427; }
.ansi-green-intense-bg { background-color: #007427; }
.ansi-yellow-fg { color: #DDB62B; }
.ansi-yellow-bg { background-color: #DDB62B; }
.ansi-yellow-intense-fg { color: #B27D12; }
.ansi-yellow-intense-bg { background-color: #B27D12; }
.ansi-blue-fg { color: #208FFB; }
.ansi-blue-bg { background-color: #208FFB; }
.ansi-blue-intense-fg { color: #0065CA; }
.ansi-blue-intense-bg { background-color: #0065CA; }
.ansi-magenta-fg { color: #D160C4; }
.ansi-magenta-bg { background-color: #D160C4; }
.ansi-magenta-intense-fg { color: #A03196; }
.ansi-magenta-intense-bg { background-color: #A03196; }
.ansi-cyan-fg { color: #60C6C8; }
.ansi-cyan-bg { background-color: #60C6C8; }
.ansi-cyan-intense-fg { color: #258F8F; }
.ansi-cyan-intense-bg { background-color: #258F8F; }
.ansi-white-fg { color: #C5C1B4; }
.ansi-white-bg { background-color: #C5C1B4; }
.ansi-white-intense-fg { color: #A1A6B2; }
.ansi-white-intense-bg { background-color: #A1A6B2; }

.ansi-bold { font-weight: bold; }

    </style>
<style type="text/css">
    /* Hack to suppress certificate warning display on graphlab license call*/
.output_stderr {
    display: none;
}

/* Format for custom error modal message */
.running-notebooks {
    padding-top: 2em;
}

    </style>


<style type="text/css">
/* Overrides of notebook CSS for static HTML export */
body {
  overflow: visible;
  padding: 8px;
}

div#notebook {
  overflow: visible;
  border-top: none;
}

@media print {
  div.cell {
    display: block;
    page-break-inside: avoid;
  } 
  div.output_wrapper { 
    display: block;
    page-break-inside: avoid; 
  }
  div.output { 
    display: block;
    page-break-inside: avoid; 
  }
}
</style>

<!-- Custom stylesheet, it must be in the same directory as the html file -->
<link rel="stylesheet" href="custom.css">

<!-- Loading mathjax macro -->
<!-- Load mathjax -->
    <script src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_HTML"></script>
    <!-- MathJax configuration -->
    <script type="text/x-mathjax-config">
    MathJax.Hub.Config({
        tex2jax: {
            inlineMath: [ ['$','$'], ["\\(","\\)"] ],
            displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
            processEscapes: true,
            processEnvironments: true
        },
        // Center justify equations in code and markdown cells. Elsewhere
        // we use CSS to left justify single line equations in code cells.
        displayAlign: 'center',
        "HTML-CSS": {
            styles: {'.MathJax_Display': {"margin": 0}},
            linebreaks: { automatic: true }
        }
    });
    </script>
    <!-- End of mathjax configuration --></head>
<body>
  <div tabindex="-1" id="notebook" class="border-box-sizing">
    <div class="container" id="notebook-container">

<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Initialization">Initialization<a class="anchor-link" href="#Initialization">&#182;</a></h1><p>Welcome to the first assignment of "Improving Deep Neural Networks".</p>
<p>Training your neural network requires specifying an initial value of the weights. A well chosen initialization method will help learning.</p>
<p>If you completed the previous course of this specialization, you probably followed our instructions for weight initialization, and it has worked out so far. But how do you choose the initialization for a new neural network? In this notebook, you will see how different initializations lead to different results.</p>
<p>A well chosen initialization can:</p>
<ul>
<li>Speed up the convergence of gradient descent</li>
<li>Increase the odds of gradient descent converging to a lower training (and generalization) error </li>
</ul>
<p>To get started, run the following cell to load the packages and the planar dataset you will try to classify.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[1]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="s2">&quot;start...&quot;</span><span class="p">)</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
<span class="kn">import</span> <span class="nn">sklearn</span>
<span class="kn">import</span> <span class="nn">sklearn.datasets</span>
<span class="kn">from</span> <span class="nn">init_utils</span> <span class="k">import</span> <span class="n">sigmoid</span><span class="p">,</span> <span class="n">relu</span><span class="p">,</span> <span class="n">compute_loss</span><span class="p">,</span> <span class="n">forward_propagation</span><span class="p">,</span> <span class="n">backward_propagation</span>
<span class="kn">from</span> <span class="nn">init_utils</span> <span class="k">import</span> <span class="n">update_parameters</span><span class="p">,</span> <span class="n">predict</span><span class="p">,</span> <span class="n">load_dataset</span><span class="p">,</span> <span class="n">plot_decision_boundary</span><span class="p">,</span> <span class="n">predict_dec</span>

<span class="o">%</span><span class="k">matplotlib</span> inline
<span class="n">plt</span><span class="o">.</span><span class="n">rcParams</span><span class="p">[</span><span class="s1">&#39;figure.figsize&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="mf">7.0</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">)</span> <span class="c1"># set default size of plots</span>
<span class="n">plt</span><span class="o">.</span><span class="n">rcParams</span><span class="p">[</span><span class="s1">&#39;image.interpolation&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="s1">&#39;nearest&#39;</span>
<span class="n">plt</span><span class="o">.</span><span class="n">rcParams</span><span class="p">[</span><span class="s1">&#39;image.cmap&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="s1">&#39;gray&#39;</span>

<span class="c1"># load image dataset: blue/red dots in circles</span>
<span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">,</span> <span class="n">test_X</span><span class="p">,</span> <span class="n">test_Y</span> <span class="o">=</span> <span class="n">load_dataset</span><span class="p">()</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;end...&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>start...
end...
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbcAAAD8CAYAAAD0f+rwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>You would like a classifier to separate the blue dots from the red dots.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="1---Neural-Network-model">1 - Neural Network model<a class="anchor-link" href="#1---Neural-Network-model">&#182;</a></h2>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>You will use a 3-layer neural network (already implemented for you). Here are the initialization methods you will experiment with:</p>
<ul>
<li><em>Zeros initialization</em> --  setting <code>initialization = "zeros"</code> in the input argument.</li>
<li><em>Random initialization</em> -- setting <code>initialization = "random"</code> in the input argument. This initializes the weights to large random values.  </li>
<li><em>He initialization</em> -- setting <code>initialization = "he"</code> in the input argument. This initializes the weights to random values scaled according to a paper by He et al., 2015. </li>
</ul>
<p><strong>Instructions</strong>: Please quickly read over the code below, and run it. In the next part you will implement the three initialization methods that this <code>model()</code> calls.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[2]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="s2">&quot;start...&quot;</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">model</span><span class="p">(</span><span class="n">X</span><span class="p">,</span> <span class="n">Y</span><span class="p">,</span> <span class="n">learning_rate</span> <span class="o">=</span> <span class="mf">0.01</span><span class="p">,</span> <span class="n">num_iterations</span> <span class="o">=</span> <span class="mi">15000</span><span class="p">,</span> <span class="n">print_cost</span> <span class="o">=</span> <span class="kc">True</span><span class="p">,</span> <span class="n">initialization</span> <span class="o">=</span> <span class="s2">&quot;he&quot;</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Implements a three-layer neural network: LINEAR-&gt;RELU-&gt;LINEAR-&gt;RELU-&gt;LINEAR-&gt;SIGMOID.</span>
<span class="sd">    </span>
<span class="sd">    Arguments:</span>
<span class="sd">    X -- input data, of shape (2, number of examples)</span>
<span class="sd">    Y -- true &quot;label&quot; vector (containing 0 for red dots; 1 for blue dots), of shape (1, number of examples)</span>
<span class="sd">    learning_rate -- learning rate for gradient descent </span>
<span class="sd">    num_iterations -- number of iterations to run gradient descent</span>
<span class="sd">    print_cost -- if True, print the cost every 1000 iterations</span>
<span class="sd">    initialization -- flag to choose which initialization to use (&quot;zeros&quot;,&quot;random&quot; or &quot;he&quot;)</span>
<span class="sd">    </span>
<span class="sd">    Returns:</span>
<span class="sd">    parameters -- parameters learnt by the model</span>
<span class="sd">    &quot;&quot;&quot;</span>
        
    <span class="n">grads</span> <span class="o">=</span> <span class="p">{}</span>
    <span class="n">costs</span> <span class="o">=</span> <span class="p">[]</span> <span class="c1"># to keep track of the loss</span>
    <span class="n">m</span> <span class="o">=</span> <span class="n">X</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="c1"># number of examples</span>
    <span class="n">layers_dims</span> <span class="o">=</span> <span class="p">[</span><span class="n">X</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">1</span><span class="p">]</span>
    
    <span class="c1"># Initialize parameters dictionary.</span>
    <span class="k">if</span> <span class="n">initialization</span> <span class="o">==</span> <span class="s2">&quot;zeros&quot;</span><span class="p">:</span>
        <span class="n">parameters</span> <span class="o">=</span> <span class="n">initialize_parameters_zeros</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">)</span>
    <span class="k">elif</span> <span class="n">initialization</span> <span class="o">==</span> <span class="s2">&quot;random&quot;</span><span class="p">:</span>
        <span class="n">parameters</span> <span class="o">=</span> <span class="n">initialize_parameters_random</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">)</span>
    <span class="k">elif</span> <span class="n">initialization</span> <span class="o">==</span> <span class="s2">&quot;he&quot;</span><span class="p">:</span>
        <span class="n">parameters</span> <span class="o">=</span> <span class="n">initialize_parameters_he</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">)</span>

    <span class="c1"># Loop (gradient descent)</span>

    <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">num_iterations</span><span class="p">):</span>

        <span class="c1"># Forward propagation: LINEAR -&gt; RELU -&gt; LINEAR -&gt; RELU -&gt; LINEAR -&gt; SIGMOID.</span>
        <span class="n">a3</span><span class="p">,</span> <span class="n">cache</span> <span class="o">=</span> <span class="n">forward_propagation</span><span class="p">(</span><span class="n">X</span><span class="p">,</span> <span class="n">parameters</span><span class="p">)</span>
        
        <span class="c1"># Loss</span>
        <span class="n">cost</span> <span class="o">=</span> <span class="n">compute_loss</span><span class="p">(</span><span class="n">a3</span><span class="p">,</span> <span class="n">Y</span><span class="p">)</span>

        <span class="c1"># Backward propagation.</span>
        <span class="n">grads</span> <span class="o">=</span> <span class="n">backward_propagation</span><span class="p">(</span><span class="n">X</span><span class="p">,</span> <span class="n">Y</span><span class="p">,</span> <span class="n">cache</span><span class="p">)</span>
        
        <span class="c1"># Update parameters.</span>
        <span class="n">parameters</span> <span class="o">=</span> <span class="n">update_parameters</span><span class="p">(</span><span class="n">parameters</span><span class="p">,</span> <span class="n">grads</span><span class="p">,</span> <span class="n">learning_rate</span><span class="p">)</span>
        
        <span class="c1"># Print the loss every 1000 iterations</span>
        <span class="k">if</span> <span class="n">print_cost</span> <span class="ow">and</span> <span class="n">i</span> <span class="o">%</span> <span class="mi">1000</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
            <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Cost after iteration </span><span class="si">{}</span><span class="s2">: </span><span class="si">{}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">cost</span><span class="p">))</span>
            <span class="n">costs</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">cost</span><span class="p">)</span>
            
    <span class="c1"># plot the loss</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">costs</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;cost&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;iterations (per hundreds)&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Learning rate =&quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">learning_rate</span><span class="p">))</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
    
    <span class="k">return</span> <span class="n">parameters</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;end...&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>start...
end...
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="2---Zero-initialization">2 - Zero initialization<a class="anchor-link" href="#2---Zero-initialization">&#182;</a></h2><p>There are two types of parameters to initialize in a neural network:</p>
<ul>
<li>the weight matrices $(W^{[1]}, W^{[2]}, W^{[3]}, ..., W^{[L-1]}, W^{[L]})$</li>
<li>the bias vectors $(b^{[1]}, b^{[2]}, b^{[3]}, ..., b^{[L-1]}, b^{[L]})$</li>
</ul>
<p><strong>Exercise</strong>: Implement the following function to initialize all parameters to zeros. You'll see later that this does not work well since it fails to "break symmetry", but lets try it anyway and see what happens. Use np.zeros((..,..)) with the correct shapes.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[5]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># GRADED FUNCTION: initialize_parameters_zeros </span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;start...&quot;</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">initialize_parameters_zeros</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Arguments:</span>
<span class="sd">    layer_dims -- python array (list) containing the size of each layer.</span>
<span class="sd">    </span>
<span class="sd">    Returns:</span>
<span class="sd">    parameters -- python dictionary containing your parameters &quot;W1&quot;, &quot;b1&quot;, ..., &quot;WL&quot;, &quot;bL&quot;:</span>
<span class="sd">                    W1 -- weight matrix of shape (layers_dims[1], layers_dims[0])</span>
<span class="sd">                    b1 -- bias vector of shape (layers_dims[1], 1)</span>
<span class="sd">                    ...</span>
<span class="sd">                    WL -- weight matrix of shape (layers_dims[L], layers_dims[L-1])</span>
<span class="sd">                    bL -- bias vector of shape (layers_dims[L], 1)</span>
<span class="sd">    &quot;&quot;&quot;</span>
    
    <span class="n">parameters</span> <span class="o">=</span> <span class="p">{}</span>
    <span class="n">L</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">)</span>            <span class="c1"># number of layers in the network</span>
    
    <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">L</span><span class="p">):</span>
        <span class="c1">### START CODE HERE ### (≈ 2 lines of code)</span>
        <span class="n">parameters</span><span class="p">[</span><span class="s1">&#39;W&#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">l</span><span class="p">)]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="p">],</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="o">-</span><span class="mi">1</span><span class="p">]))</span>
        <span class="n">parameters</span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">l</span><span class="p">)]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="p">],</span><span class="mi">1</span><span class="p">))</span>
        <span class="c1">### END CODE HERE ###</span>
    <span class="k">return</span> <span class="n">parameters</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;end...&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>start...
end...
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[6]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">parameters</span> <span class="o">=</span> <span class="n">initialize_parameters_zeros</span><span class="p">([</span><span class="mi">3</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;W1 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;W1&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;b1 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;b1&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;W2 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;W2&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;b2 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;b2&quot;</span><span class="p">]))</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>W1 = [[ 0.  0.  0.]
 [ 0.  0.  0.]]
b1 = [[ 0.]
 [ 0.]]
W2 = [[ 0.  0.]]
b2 = [[ 0.]]
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p><strong>Expected Output</strong>:</p>
<table> 
    <tr>
    <td>
    **W1**
    </td>
        <td>
    [[ 0.  0.  0.]
 [ 0.  0.  0.]]
    </td>
    </tr>
    <tr>
    <td>
    **b1**
    </td>
        <td>
    [[ 0.]
 [ 0.]]
    </td>
    </tr>
    <tr>
    <td>
    **W2**
    </td>
        <td>
    [[ 0.  0.]]
    </td>
    </tr>
    <tr>
    <td>
    **b2**
    </td>
        <td>
    [[ 0.]]
    </td>
    </tr>

</table>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Run the following code to train your model on 15,000 iterations using zeros initialization.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[7]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">parameters</span> <span class="o">=</span> <span class="n">model</span><span class="p">(</span><span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">,</span> <span class="n">initialization</span> <span class="o">=</span> <span class="s2">&quot;zeros&quot;</span><span class="p">)</span>
<span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;On the train set:&quot;</span><span class="p">)</span>
<span class="n">predictions_train</span> <span class="o">=</span> <span class="n">predict</span><span class="p">(</span><span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">,</span> <span class="n">parameters</span><span class="p">)</span>
<span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;On the test set:&quot;</span><span class="p">)</span>
<span class="n">predictions_test</span> <span class="o">=</span> <span class="n">predict</span><span class="p">(</span><span class="n">test_X</span><span class="p">,</span> <span class="n">test_Y</span><span class="p">,</span> <span class="n">parameters</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>Cost after iteration 0: 0.6931471805599453
Cost after iteration 1000: 0.6931471805599453
Cost after iteration 2000: 0.6931471805599453
Cost after iteration 3000: 0.6931471805599453
Cost after iteration 4000: 0.6931471805599453
Cost after iteration 5000: 0.6931471805599453
Cost after iteration 6000: 0.6931471805599453
Cost after iteration 7000: 0.6931471805599453
Cost after iteration 8000: 0.6931471805599453
Cost after iteration 9000: 0.6931471805599453
Cost after iteration 10000: 0.6931471805599455
Cost after iteration 11000: 0.6931471805599453
Cost after iteration 12000: 0.6931471805599453
Cost after iteration 13000: 0.6931471805599453
Cost after iteration 14000: 0.6931471805599453
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcMAAAEWCAYAAAAadfxCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>On the train set:
Accuracy: 0.5
On the test set:
Accuracy: 0.5
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>The performance is really bad, and the cost does not really decrease, and the algorithm performs no better than random guessing. Why? Lets look at the details of the predictions and the decision boundary:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[8]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;predictions_train = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">predictions_train</span><span class="p">))</span>
<span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;predictions_test = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">predictions_test</span><span class="p">))</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>predictions_train = [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0]]
predictions_test = [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[9]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Model with Zeros initialization&quot;</span><span class="p">)</span>
<span class="n">axes</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">gca</span><span class="p">()</span>
<span class="n">axes</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">([</span><span class="o">-</span><span class="mf">1.5</span><span class="p">,</span><span class="mf">1.5</span><span class="p">])</span>
<span class="n">axes</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">([</span><span class="o">-</span><span class="mf">1.5</span><span class="p">,</span><span class="mf">1.5</span><span class="p">])</span>
<span class="n">plot_decision_boundary</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">predict_dec</span><span class="p">(</span><span class="n">parameters</span><span class="p">,</span> <span class="n">x</span><span class="o">.</span><span class="n">T</span><span class="p">),</span> <span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcoAAAEWCAYAAADmYNeIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>The model is predicting 0 for every example.</p>
<p>In general, initializing all the weights to zero results in the network failing to break symmetry. This means that every neuron in each layer will learn the same thing, and you might as well be training a neural network with $n^{[l]}=1$ for every layer, and the network is no more powerful than a linear classifier such as logistic regression.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p><font color='blue'>
<strong>What you should remember</strong>:</p>
<ul>
<li>The weights $W^{[l]}$ should be initialized randomly to break symmetry. </li>
<li>It is however okay to initialize the biases $b^{[l]}$ to zeros. Symmetry is still broken so long as $W^{[l]}$ is initialized randomly. </li>
</ul>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="3---Random-initialization">3 - Random initialization<a class="anchor-link" href="#3---Random-initialization">&#182;</a></h2><p>To break symmetry, lets intialize the weights randomly. Following random initialization, each neuron can then proceed to learn a different function of its inputs. In this exercise, you will see what happens if the weights are intialized randomly, but to very large values.</p>
<p><strong>Exercise</strong>: Implement the following function to initialize your weights to large random values (scaled by *10) and your biases to zeros. Use <code>np.random.randn(..,..) * 10</code> for weights and <code>np.zeros((.., ..))</code> for biases. We are using a fixed <code>np.random.seed(..)</code> to make sure your "random" weights  match ours, so don't worry if running several times your code gives you always the same initial values for the parameters.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[10]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># GRADED FUNCTION: initialize_parameters_random</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;start...&quot;</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">initialize_parameters_random</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Arguments:</span>
<span class="sd">    layer_dims -- python array (list) containing the size of each layer.</span>
<span class="sd">    </span>
<span class="sd">    Returns:</span>
<span class="sd">    parameters -- python dictionary containing your parameters &quot;W1&quot;, &quot;b1&quot;, ..., &quot;WL&quot;, &quot;bL&quot;:</span>
<span class="sd">                    W1 -- weight matrix of shape (layers_dims[1], layers_dims[0])</span>
<span class="sd">                    b1 -- bias vector of shape (layers_dims[1], 1)</span>
<span class="sd">                    ...</span>
<span class="sd">                    WL -- weight matrix of shape (layers_dims[L], layers_dims[L-1])</span>
<span class="sd">                    bL -- bias vector of shape (layers_dims[L], 1)</span>
<span class="sd">    &quot;&quot;&quot;</span>
    
    <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>               <span class="c1"># This seed makes sure your &quot;random&quot; numbers will be the as ours</span>
    <span class="n">parameters</span> <span class="o">=</span> <span class="p">{}</span>
    <span class="n">L</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">)</span>            <span class="c1"># integer representing the number of layers</span>
    
    <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">L</span><span class="p">):</span>
        <span class="c1">### START CODE HERE ### (≈ 2 lines of code)</span>
        <span class="n">parameters</span><span class="p">[</span><span class="s1">&#39;W&#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">l</span><span class="p">)]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">randn</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="p">],</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="o">-</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="mi">10</span>
        <span class="n">parameters</span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">l</span><span class="p">)]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="p">],</span><span class="mi">1</span><span class="p">))</span>
        <span class="c1">### END CODE HERE ###</span>

    <span class="k">return</span> <span class="n">parameters</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;end...&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>start...
end...
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[11]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">parameters</span> <span class="o">=</span> <span class="n">initialize_parameters_random</span><span class="p">([</span><span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;W1 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;W1&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;b1 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;b1&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;W2 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;W2&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;b2 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;b2&quot;</span><span class="p">]))</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>W1 = [[ 17.88628473   4.36509851   0.96497468]
 [-18.63492703  -2.77388203  -3.54758979]]
b1 = [[ 0.]
 [ 0.]]
W2 = [[-0.82741481 -6.27000677]]
b2 = [[ 0.]]
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p><strong>Expected Output</strong>:</p>
<table> 
    <tr>
    <td>
    **W1**
    </td>
        <td>
    [[ 17.88628473   4.36509851   0.96497468]
 [-18.63492703  -2.77388203  -3.54758979]]
    </td>
    </tr>
    <tr>
    <td>
    **b1**
    </td>
        <td>
    [[ 0.]
 [ 0.]]
    </td>
    </tr>
    <tr>
    <td>
    **W2**
    </td>
        <td>
    [[-0.82741481 -6.27000677]]
    </td>
    </tr>
    <tr>
    <td>
    **b2**
    </td>
        <td>
    [[ 0.]]
    </td>
    </tr>

</table>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Run the following code to train your model on 15,000 iterations using random initialization.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[12]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">parameters</span> <span class="o">=</span> <span class="n">model</span><span class="p">(</span><span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">,</span> <span class="n">initialization</span> <span class="o">=</span> <span class="s2">&quot;random&quot;</span><span class="p">)</span>
<span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;On the train set:&quot;</span><span class="p">)</span>
<span class="n">predictions_train</span> <span class="o">=</span> <span class="n">predict</span><span class="p">(</span><span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">,</span> <span class="n">parameters</span><span class="p">)</span>
<span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;On the test set:&quot;</span><span class="p">)</span>
<span class="n">predictions_test</span> <span class="o">=</span> <span class="n">predict</span><span class="p">(</span><span class="n">test_X</span><span class="p">,</span> <span class="n">test_Y</span><span class="p">,</span> <span class="n">parameters</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stderr output_text">
<pre>/home/jovyan/work/week5/Initialization/init_utils.py:145: RuntimeWarning: divide by zero encountered in log
  logprobs = np.multiply(-np.log(a3),Y) + np.multiply(-np.log(1 - a3), 1 - Y)
/home/jovyan/work/week5/Initialization/init_utils.py:145: RuntimeWarning: invalid value encountered in multiply
  logprobs = np.multiply(-np.log(a3),Y) + np.multiply(-np.log(1 - a3), 1 - Y)
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>Cost after iteration 0: inf
Cost after iteration 1000: 0.6237287551108738
Cost after iteration 2000: 0.5981106708339466
Cost after iteration 3000: 0.5638353726276827
Cost after iteration 4000: 0.550152614449184
Cost after iteration 5000: 0.5444235275228304
Cost after iteration 6000: 0.5374184054630083
Cost after iteration 7000: 0.47357131493578297
Cost after iteration 8000: 0.39775634899580387
Cost after iteration 9000: 0.3934632865981078
Cost after iteration 10000: 0.39202525076484457
Cost after iteration 11000: 0.38921493051297673
Cost after iteration 12000: 0.38614221789840486
Cost after iteration 13000: 0.38497849983013926
Cost after iteration 14000: 0.38278397192120406
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcMAAAEWCAYAAAAadfxCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>On the train set:
Accuracy: 0.83
On the test set:
Accuracy: 0.86
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>If you see "inf" as the cost after the iteration 0, this is because of numerical roundoff; a more numerically sophisticated implementation would fix this. But this isn't worth worrying about for our purposes.</p>
<p>Anyway, it looks like you have broken symmetry, and this gives better results. than before. The model is no longer outputting all 0s.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[13]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span> <span class="p">(</span><span class="n">predictions_train</span><span class="p">)</span>
<span class="nb">print</span> <span class="p">(</span><span class="n">predictions_test</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>[[1 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 1
  1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0
  0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1
  1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0
  1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1
  0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1
  0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1
  1 1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1
  1 1 1 0]]
[[1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0
  1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1
  1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0]]
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[14]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Model with large random initialization&quot;</span><span class="p">)</span>
<span class="n">axes</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">gca</span><span class="p">()</span>
<span class="n">axes</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">([</span><span class="o">-</span><span class="mf">1.5</span><span class="p">,</span><span class="mf">1.5</span><span class="p">])</span>
<span class="n">axes</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">([</span><span class="o">-</span><span class="mf">1.5</span><span class="p">,</span><span class="mf">1.5</span><span class="p">])</span>
<span class="n">plot_decision_boundary</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">predict_dec</span><span class="p">(</span><span class="n">parameters</span><span class="p">,</span> <span class="n">x</span><span class="o">.</span><span class="n">T</span><span class="p">),</span> <span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcoAAAEWCAYAAADmYNeIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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==
"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p><strong>Observations</strong>:</p>
<ul>
<li>The cost starts very high. This is because with large random-valued weights, the last activation (sigmoid) outputs results that are very close to 0 or 1 for some examples, and when it gets that example wrong it incurs a very high loss for that example. Indeed, when $\log(a^{[3]}) = \log(0)$, the loss goes to infinity.</li>
<li>Poor initialization can lead to vanishing/exploding gradients, which also slows down the optimization algorithm. </li>
<li>If you train this network longer you will see better results, but initializing with overly large random numbers slows down the optimization.</li>
</ul>
<p><font color='blue'>
<strong>In summary</strong>:</p>
<ul>
<li>Initializing weights to very large random values does not work well. </li>
<li>Hopefully intializing with small random values does better. The important question is: how small should be these random values be? Lets find out in the next part! </li>
</ul>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="4---He-initialization">4 - He initialization<a class="anchor-link" href="#4---He-initialization">&#182;</a></h2><p>Finally, try "He Initialization"; this is named for the first author of He et al., 2015. (If you have heard of "Xavier initialization", this is similar except Xavier initialization uses a scaling factor for the weights $W^{[l]}$ of <code>sqrt(1./layers_dims[l-1])</code> where He initialization would use <code>sqrt(2./layers_dims[l-1])</code>.)</p>
<p><strong>Exercise</strong>: Implement the following function to initialize your parameters with He initialization.</p>
<p><strong>Hint</strong>: This function is similar to the previous <code>initialize_parameters_random(...)</code>. The only difference is that instead of multiplying <code>np.random.randn(..,..)</code> by 10, you will multiply it by $\sqrt{\frac{2}{\text{dimension of the previous layer}}}$, which is what He initialization recommends for layers with a ReLU activation.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[19]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># GRADED FUNCTION: initialize_parameters_he</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;start...&quot;</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">initialize_parameters_he</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Arguments:</span>
<span class="sd">    layer_dims -- python array (list) containing the size of each layer.</span>
<span class="sd">    </span>
<span class="sd">    Returns:</span>
<span class="sd">    parameters -- python dictionary containing your parameters &quot;W1&quot;, &quot;b1&quot;, ..., &quot;WL&quot;, &quot;bL&quot;:</span>
<span class="sd">                    W1 -- weight matrix of shape (layers_dims[1], layers_dims[0])</span>
<span class="sd">                    b1 -- bias vector of shape (layers_dims[1], 1)</span>
<span class="sd">                    ...</span>
<span class="sd">                    WL -- weight matrix of shape (layers_dims[L], layers_dims[L-1])</span>
<span class="sd">                    bL -- bias vector of shape (layers_dims[L], 1)</span>
<span class="sd">    &quot;&quot;&quot;</span>
    
    <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
    <span class="n">parameters</span> <span class="o">=</span> <span class="p">{}</span>
    <span class="n">L</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span> <span class="c1"># integer representing the number of layers</span>
     
    <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">L</span> <span class="o">+</span> <span class="mi">1</span><span class="p">):</span>
        <span class="c1">### START CODE HERE ### (≈ 2 lines of code)</span>
        <span class="n">parameters</span><span class="p">[</span><span class="s1">&#39;W&#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">l</span><span class="p">)]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">randn</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="p">],</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="o">-</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="mf">2.0</span><span class="o">/</span><span class="p">(</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="o">-</span><span class="mi">1</span><span class="p">]))</span>
        <span class="n">parameters</span><span class="p">[</span><span class="s1">&#39;b&#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">l</span><span class="p">)]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">layers_dims</span><span class="p">[</span><span class="n">l</span><span class="p">],</span><span class="mi">1</span><span class="p">))</span>
        <span class="c1">### END CODE HERE ###</span>
        
    <span class="k">return</span> <span class="n">parameters</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;end...&quot;</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>start...
end...
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[20]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">parameters</span> <span class="o">=</span> <span class="n">initialize_parameters_he</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;W1 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;W1&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;b1 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;b1&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;W2 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;W2&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;b2 = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="s2">&quot;b2&quot;</span><span class="p">]))</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>W1 = [[ 1.78862847  0.43650985]
 [ 0.09649747 -1.8634927 ]
 [-0.2773882  -0.35475898]
 [-0.08274148 -0.62700068]]
b1 = [[ 0.]
 [ 0.]
 [ 0.]
 [ 0.]]
W2 = [[-0.03098412 -0.33744411 -0.92904268  0.62552248]]
b2 = [[ 0.]]
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p><strong>Expected Output</strong>:</p>
<table> 
    <tr>
    <td>
    **W1**
    </td>
        <td>
    [[ 1.78862847  0.43650985]
 [ 0.09649747 -1.8634927 ]
 [-0.2773882  -0.35475898]
 [-0.08274148 -0.62700068]]
    </td>
    </tr>
    <tr>
    <td>
    **b1**
    </td>
        <td>
    [[ 0.]
 [ 0.]
 [ 0.]
 [ 0.]]
    </td>
    </tr>
    <tr>
    <td>
    **W2**
    </td>
        <td>
    [[-0.03098412 -0.33744411 -0.92904268  0.62552248]]
    </td>
    </tr>
    <tr>
    <td>
    **b2**
    </td>
        <td>
    [[ 0.]]
    </td>
    </tr>

</table>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Run the following code to train your model on 15,000 iterations using He initialization.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[21]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">parameters</span> <span class="o">=</span> <span class="n">model</span><span class="p">(</span><span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">,</span> <span class="n">initialization</span> <span class="o">=</span> <span class="s2">&quot;he&quot;</span><span class="p">)</span>
<span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;On the train set:&quot;</span><span class="p">)</span>
<span class="n">predictions_train</span> <span class="o">=</span> <span class="n">predict</span><span class="p">(</span><span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">,</span> <span class="n">parameters</span><span class="p">)</span>
<span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;On the test set:&quot;</span><span class="p">)</span>
<span class="n">predictions_test</span> <span class="o">=</span> <span class="n">predict</span><span class="p">(</span><span class="n">test_X</span><span class="p">,</span> <span class="n">test_Y</span><span class="p">,</span> <span class="n">parameters</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>Cost after iteration 0: 0.8830537463419761
Cost after iteration 1000: 0.6879825919728063
Cost after iteration 2000: 0.6751286264523371
Cost after iteration 3000: 0.6526117768893807
Cost after iteration 4000: 0.6082958970572938
Cost after iteration 5000: 0.5304944491717495
Cost after iteration 6000: 0.4138645817071794
Cost after iteration 7000: 0.3117803464844441
Cost after iteration 8000: 0.23696215330322562
Cost after iteration 9000: 0.18597287209206836
Cost after iteration 10000: 0.1501555628037182
Cost after iteration 11000: 0.12325079292273548
Cost after iteration 12000: 0.09917746546525937
Cost after iteration 13000: 0.0845705595402428
Cost after iteration 14000: 0.07357895962677366
</pre>
</div>
</div>

<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAb0AAAEWCAYAAADy9UlpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

<div class="output_area"><div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>On the train set:
Accuracy: 0.993333333333
On the test set:
Accuracy: 0.96
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[22]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Model with He initialization&quot;</span><span class="p">)</span>
<span class="n">axes</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">gca</span><span class="p">()</span>
<span class="n">axes</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">([</span><span class="o">-</span><span class="mf">1.5</span><span class="p">,</span><span class="mf">1.5</span><span class="p">])</span>
<span class="n">axes</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">([</span><span class="o">-</span><span class="mf">1.5</span><span class="p">,</span><span class="mf">1.5</span><span class="p">])</span>
<span class="n">plot_decision_boundary</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">predict_dec</span><span class="p">(</span><span class="n">parameters</span><span class="p">,</span> <span class="n">x</span><span class="o">.</span><span class="n">T</span><span class="p">),</span> <span class="n">train_X</span><span class="p">,</span> <span class="n">train_Y</span><span class="p">)</span>
</pre></div>

</div>
</div>
</div>

<div class="output_wrapper">
<div class="output">


<div class="output_area"><div class="prompt"></div>


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcoAAAEWCAYAAADmYNeIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p><strong>Observations</strong>:</p>
<ul>
<li>The model with He initialization separates the blue and the red dots very well in a small number of iterations.</li>
</ul>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="5---Conclusions">5 - Conclusions<a class="anchor-link" href="#5---Conclusions">&#182;</a></h2>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>You have seen three different types of initializations. For the same number of iterations and same hyperparameters the comparison is:</p>
<table> 
    <tr>
        <td>
        **Model**
        </td>
        <td>
        **Train accuracy**
        </td>
        <td>
        **Problem/Comment**
        </td>

    </tr>
        <td>
        3-layer NN with zeros initialization
        </td>
        <td>
        50%
        </td>
        <td>
        fails to break symmetry
        </td>
    <tr>
        <td>
        3-layer NN with large random initialization
        </td>
        <td>
        83%
        </td>
        <td>
        too large weights 
        </td>
    </tr>
    <tr>
        <td>
        3-layer NN with He initialization
        </td>
        <td>
        99%
        </td>
        <td>
        recommended method
        </td>
    </tr>
</table>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered">
<div class="prompt input_prompt">
</div>
<div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p><font color='blue'>
<strong>What you should remember from this notebook</strong>:</p>
<ul>
<li>Different initializations lead to different results</li>
<li>Random initialization is used to break symmetry and make sure different hidden units can learn different things</li>
<li>Don't intialize to values that are too large</li>
<li>He initialization works well for networks with ReLU activations. </li>
</ul>

</div>
</div>
</div>
    </div>
  </div>
</body>
</html>