OptionsValuation.html

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

<title>.ipynb</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 v3.3.7 (http://getbootstrap.com)
 * Copyright 2011-2016 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;
    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: 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: 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: 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 4.7.0 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=4.7.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.7.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.7.0') format('woff2'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.7.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.7.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.7.0#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;
}
.fa-pull-left {
  float: left;
}
.fa-pull-right {
  float: right;
}
.fa.fa-pull-left {
  margin-right: .3em;
}
.fa.fa-pull-right {
  margin-left: .3em;
}
/* Deprecated as of 4.4.0 */
.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;
}
.fa-pulse {
  -webkit-animation: fa-spin 1s infinite steps(8);
  animation: fa-spin 1s infinite steps(8);
}
@-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 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  -ms-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 {
  -ms-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-f:before,
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-feed:before,
.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,
.fa-gratipay: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-pp: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-resistance: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-y-combinator-square:before,
.fa-yc-square:before,
.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";
}
.fa-buysellads:before {
  content: "\f20d";
}
.fa-connectdevelop:before {
  content: "\f20e";
}
.fa-dashcube:before {
  content: "\f210";
}
.fa-forumbee:before {
  content: "\f211";
}
.fa-leanpub:before {
  content: "\f212";
}
.fa-sellsy:before {
  content: "\f213";
}
.fa-shirtsinbulk:before {
  content: "\f214";
}
.fa-simplybuilt:before {
  content: "\f215";
}
.fa-skyatlas:before {
  content: "\f216";
}
.fa-cart-plus:before {
  content: "\f217";
}
.fa-cart-arrow-down:before {
  content: "\f218";
}
.fa-diamond:before {
  content: "\f219";
}
.fa-ship:before {
  content: "\f21a";
}
.fa-user-secret:before {
  content: "\f21b";
}
.fa-motorcycle:before {
  content: "\f21c";
}
.fa-street-view:before {
  content: "\f21d";
}
.fa-heartbeat:before {
  content: "\f21e";
}
.fa-venus:before {
  content: "\f221";
}
.fa-mars:before {
  content: "\f222";
}
.fa-mercury:before {
  content: "\f223";
}
.fa-intersex:before,
.fa-transgender:before {
  content: "\f224";
}
.fa-transgender-alt:before {
  content: "\f225";
}
.fa-venus-double:before {
  content: "\f226";
}
.fa-mars-double:before {
  content: "\f227";
}
.fa-venus-mars:before {
  content: "\f228";
}
.fa-mars-stroke:before {
  content: "\f229";
}
.fa-mars-stroke-v:before {
  content: "\f22a";
}
.fa-mars-stroke-h:before {
  content: "\f22b";
}
.fa-neuter:before {
  content: "\f22c";
}
.fa-genderless:before {
  content: "\f22d";
}
.fa-facebook-official:before {
  content: "\f230";
}
.fa-pinterest-p:before {
  content: "\f231";
}
.fa-whatsapp:before {
  content: "\f232";
}
.fa-server:before {
  content: "\f233";
}
.fa-user-plus:before {
  content: "\f234";
}
.fa-user-times:before {
  content: "\f235";
}
.fa-hotel:before,
.fa-bed:before {
  content: "\f236";
}
.fa-viacoin:before {
  content: "\f237";
}
.fa-train:before {
  content: "\f238";
}
.fa-subway:before {
  content: "\f239";
}
.fa-medium:before {
  content: "\f23a";
}
.fa-yc:before,
.fa-y-combinator:before {
  content: "\f23b";
}
.fa-optin-monster:before {
  content: "\f23c";
}
.fa-opencart:before {
  content: "\f23d";
}
.fa-expeditedssl:before {
  content: "\f23e";
}
.fa-battery-4:before,
.fa-battery:before,
.fa-battery-full:before {
  content: "\f240";
}
.fa-battery-3:before,
.fa-battery-three-quarters:before {
  content: "\f241";
}
.fa-battery-2:before,
.fa-battery-half:before {
  content: "\f242";
}
.fa-battery-1:before,
.fa-battery-quarter:before {
  content: "\f243";
}
.fa-battery-0:before,
.fa-battery-empty:before {
  content: "\f244";
}
.fa-mouse-pointer:before {
  content: "\f245";
}
.fa-i-cursor:before {
  content: "\f246";
}
.fa-object-group:before {
  content: "\f247";
}
.fa-object-ungroup:before {
  content: "\f248";
}
.fa-sticky-note:before {
  content: "\f249";
}
.fa-sticky-note-o:before {
  content: "\f24a";
}
.fa-cc-jcb:before {
  content: "\f24b";
}
.fa-cc-diners-club:before {
  content: "\f24c";
}
.fa-clone:before {
  content: "\f24d";
}
.fa-balance-scale:before {
  content: "\f24e";
}
.fa-hourglass-o:before {
  content: "\f250";
}
.fa-hourglass-1:before,
.fa-hourglass-start:before {
  content: "\f251";
}
.fa-hourglass-2:before,
.fa-hourglass-half:before {
  content: "\f252";
}
.fa-hourglass-3:before,
.fa-hourglass-end:before {
  content: "\f253";
}
.fa-hourglass:before {
  content: "\f254";
}
.fa-hand-grab-o:before,
.fa-hand-rock-o:before {
  content: "\f255";
}
.fa-hand-stop-o:before,
.fa-hand-paper-o:before {
  content: "\f256";
}
.fa-hand-scissors-o:before {
  content: "\f257";
}
.fa-hand-lizard-o:before {
  content: "\f258";
}
.fa-hand-spock-o:before {
  content: "\f259";
}
.fa-hand-pointer-o:before {
  content: "\f25a";
}
.fa-hand-peace-o:before {
  content: "\f25b";
}
.fa-trademark:before {
  content: "\f25c";
}
.fa-registered:before {
  content: "\f25d";
}
.fa-creative-commons:before {
  content: "\f25e";
}
.fa-gg:before {
  content: "\f260";
}
.fa-gg-circle:before {
  content: "\f261";
}
.fa-tripadvisor:before {
  content: "\f262";
}
.fa-odnoklassniki:before {
  content: "\f263";
}
.fa-odnoklassniki-square:before {
  content: "\f264";
}
.fa-get-pocket:before {
  content: "\f265";
}
.fa-wikipedia-w:before {
  content: "\f266";
}
.fa-safari:before {
  content: "\f267";
}
.fa-chrome:before {
  content: "\f268";
}
.fa-firefox:before {
  content: "\f269";
}
.fa-opera:before {
  content: "\f26a";
}
.fa-internet-explorer:before {
  content: "\f26b";
}
.fa-tv:before,
.fa-television:before {
  content: "\f26c";
}
.fa-contao:before {
  content: "\f26d";
}
.fa-500px:before {
  content: "\f26e";
}
.fa-amazon:before {
  content: "\f270";
}
.fa-calendar-plus-o:before {
  content: "\f271";
}
.fa-calendar-minus-o:before {
  content: "\f272";
}
.fa-calendar-times-o:before {
  content: "\f273";
}
.fa-calendar-check-o:before {
  content: "\f274";
}
.fa-industry:before {
  content: "\f275";
}
.fa-map-pin:before {
  content: "\f276";
}
.fa-map-signs:before {
  content: "\f277";
}
.fa-map-o:before {
  content: "\f278";
}
.fa-map:before {
  content: "\f279";
}
.fa-commenting:before {
  content: "\f27a";
}
.fa-commenting-o:before {
  content: "\f27b";
}
.fa-houzz:before {
  content: "\f27c";
}
.fa-vimeo:before {
  content: "\f27d";
}
.fa-black-tie:before {
  content: "\f27e";
}
.fa-fonticons:before {
  content: "\f280";
}
.fa-reddit-alien:before {
  content: "\f281";
}
.fa-edge:before {
  content: "\f282";
}
.fa-credit-card-alt:before {
  content: "\f283";
}
.fa-codiepie:before {
  content: "\f284";
}
.fa-modx:before {
  content: "\f285";
}
.fa-fort-awesome:before {
  content: "\f286";
}
.fa-usb:before {
  content: "\f287";
}
.fa-product-hunt:before {
  content: "\f288";
}
.fa-mixcloud:before {
  content: "\f289";
}
.fa-scribd:before {
  content: "\f28a";
}
.fa-pause-circle:before {
  content: "\f28b";
}
.fa-pause-circle-o:before {
  content: "\f28c";
}
.fa-stop-circle:before {
  content: "\f28d";
}
.fa-stop-circle-o:before {
  content: "\f28e";
}
.fa-shopping-bag:before {
  content: "\f290";
}
.fa-shopping-basket:before {
  content: "\f291";
}
.fa-hashtag:before {
  content: "\f292";
}
.fa-bluetooth:before {
  content: "\f293";
}
.fa-bluetooth-b:before {
  content: "\f294";
}
.fa-percent:before {
  content: "\f295";
}
.fa-gitlab:before {
  content: "\f296";
}
.fa-wpbeginner:before {
  content: "\f297";
}
.fa-wpforms:before {
  content: "\f298";
}
.fa-envira:before {
  content: "\f299";
}
.fa-universal-access:before {
  content: "\f29a";
}
.fa-wheelchair-alt:before {
  content: "\f29b";
}
.fa-question-circle-o:before {
  content: "\f29c";
}
.fa-blind:before {
  content: "\f29d";
}
.fa-audio-description:before {
  content: "\f29e";
}
.fa-volume-control-phone:before {
  content: "\f2a0";
}
.fa-braille:before {
  content: "\f2a1";
}
.fa-assistive-listening-systems:before {
  content: "\f2a2";
}
.fa-asl-interpreting:before,
.fa-american-sign-language-interpreting:before {
  content: "\f2a3";
}
.fa-deafness:before,
.fa-hard-of-hearing:before,
.fa-deaf:before {
  content: "\f2a4";
}
.fa-glide:before {
  content: "\f2a5";
}
.fa-glide-g:before {
  content: "\f2a6";
}
.fa-signing:before,
.fa-sign-language:before {
  content: "\f2a7";
}
.fa-low-vision:before {
  content: "\f2a8";
}
.fa-viadeo:before {
  content: "\f2a9";
}
.fa-viadeo-square:before {
  content: "\f2aa";
}
.fa-snapchat:before {
  content: "\f2ab";
}
.fa-snapchat-ghost:before {
  content: "\f2ac";
}
.fa-snapchat-square:before {
  content: "\f2ad";
}
.fa-pied-piper:before {
  content: "\f2ae";
}
.fa-first-order:before {
  content: "\f2b0";
}
.fa-yoast:before {
  content: "\f2b1";
}
.fa-themeisle:before {
  content: "\f2b2";
}
.fa-google-plus-circle:before,
.fa-google-plus-official:before {
  content: "\f2b3";
}
.fa-fa:before,
.fa-font-awesome:before {
  content: "\f2b4";
}
.fa-handshake-o:before {
  content: "\f2b5";
}
.fa-envelope-open:before {
  content: "\f2b6";
}
.fa-envelope-open-o:before {
  content: "\f2b7";
}
.fa-linode:before {
  content: "\f2b8";
}
.fa-address-book:before {
  content: "\f2b9";
}
.fa-address-book-o:before {
  content: "\f2ba";
}
.fa-vcard:before,
.fa-address-card:before {
  content: "\f2bb";
}
.fa-vcard-o:before,
.fa-address-card-o:before {
  content: "\f2bc";
}
.fa-user-circle:before {
  content: "\f2bd";
}
.fa-user-circle-o:before {
  content: "\f2be";
}
.fa-user-o:before {
  content: "\f2c0";
}
.fa-id-badge:before {
  content: "\f2c1";
}
.fa-drivers-license:before,
.fa-id-card:before {
  content: "\f2c2";
}
.fa-drivers-license-o:before,
.fa-id-card-o:before {
  content: "\f2c3";
}
.fa-quora:before {
  content: "\f2c4";
}
.fa-free-code-camp:before {
  content: "\f2c5";
}
.fa-telegram:before {
  content: "\f2c6";
}
.fa-thermometer-4:before,
.fa-thermometer:before,
.fa-thermometer-full:before {
  content: "\f2c7";
}
.fa-thermometer-3:before,
.fa-thermometer-three-quarters:before {
  content: "\f2c8";
}
.fa-thermometer-2:before,
.fa-thermometer-half:before {
  content: "\f2c9";
}
.fa-thermometer-1:before,
.fa-thermometer-quarter:before {
  content: "\f2ca";
}
.fa-thermometer-0:before,
.fa-thermometer-empty:before {
  content: "\f2cb";
}
.fa-shower:before {
  content: "\f2cc";
}
.fa-bathtub:before,
.fa-s15:before,
.fa-bath:before {
  content: "\f2cd";
}
.fa-podcast:before {
  content: "\f2ce";
}
.fa-window-maximize:before {
  content: "\f2d0";
}
.fa-window-minimize:before {
  content: "\f2d1";
}
.fa-window-restore:before {
  content: "\f2d2";
}
.fa-times-rectangle:before,
.fa-window-close:before {
  content: "\f2d3";
}
.fa-times-rectangle-o:before,
.fa-window-close-o:before {
  content: "\f2d4";
}
.fa-bandcamp:before {
  content: "\f2d5";
}
.fa-grav:before {
  content: "\f2d6";
}
.fa-etsy:before {
  content: "\f2d7";
}
.fa-imdb:before {
  content: "\f2d8";
}
.fa-ravelry:before {
  content: "\f2d9";
}
.fa-eercast:before {
  content: "\f2da";
}
.fa-microchip:before {
  content: "\f2db";
}
.fa-snowflake-o:before {
  content: "\f2dc";
}
.fa-superpowers:before {
  content: "\f2dd";
}
.fa-wpexplorer:before {
  content: "\f2de";
}
.fa-meetup:before {
  content: "\f2e0";
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  padding: 0;
  margin: -1px;
  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;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
/*!
*
* 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;
}
div.traceback-wrapper pre.traceback {
  max-height: 600px;
  overflow: 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 {
  display: flex;
  flex-direction: row;
  justify-content: space-between;
  padding: 5px;
  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;
}
[dir="rtl"] #ipython_notebook {
  margin-right: 10px;
  margin-left: 0;
}
[dir="rtl"] #ipython_notebook.pull-left {
  float: right !important;
  float: right;
}
.flex-spacer {
  flex: 1;
}
#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#kernel_logo_widget {
  margin: 0 10px;
}
span#login_widget {
  float: right;
}
[dir="rtl"] span#login_widget {
  float: left;
}
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;
}
.modal-header {
  cursor: move;
}
@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;
}
[dir="rtl"] .center-nav form.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] .center-nav .navbar-text {
  float: right;
}
[dir="rtl"] .navbar-inner {
  text-align: right;
}
[dir="rtl"] div.text-left {
  text-align: right;
}
/*!
*
* 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 {
  position: absolute;
  display: block;
  width: 100%;
  height: 100%;
  overflow: hidden;
  cursor: pointer;
  opacity: 0;
  z-index: 2;
}
.alternate_upload .btn-xs > input.fileinput {
  margin: -1px -5px;
}
.alternate_upload .btn-upload {
  position: relative;
  height: 22px;
}
::-webkit-file-upload-button {
  cursor: pointer;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
ul#tabs {
  margin-bottom: 4px;
}
ul#tabs a {
  padding-top: 6px;
  padding-bottom: 4px;
}
[dir="rtl"] ul#tabs.nav-tabs > li {
  float: right;
}
[dir="rtl"] ul#tabs.nav.nav-tabs {
  padding-right: 0;
}
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;
}
[dir="rtl"] .list_toolbar .tree-buttons .pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .list_toolbar .col-sm-4,
[dir="rtl"] .list_toolbar .col-sm-8 {
  float: right;
}
.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: text-bottom;
  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;
}
[dir="rtl"] .list_item > div input {
  margin-right: 0;
}
.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_modified {
  margin-right: 7px;
  margin-left: 7px;
}
[dir="rtl"] .item_modified.pull-right {
  float: left !important;
  float: left;
}
.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;
}
[dir="rtl"] .item_buttons.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .item_buttons .kernel-name {
  margin-left: 7px;
  float: right;
}
.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;
}
.sort_button {
  display: inline-block;
  padding-left: 7px;
}
[dir="rtl"] .sort_button.pull-right {
  float: left !important;
  float: left;
}
#tree-selector {
  padding-right: 0px;
}
#button-select-all {
  min-width: 50px;
}
[dir="rtl"] #button-select-all.btn {
  float: right ;
}
#select-all {
  margin-left: 7px;
  margin-right: 2px;
  margin-top: 2px;
  height: 16px;
}
[dir="rtl"] #select-all.pull-left {
  float: right !important;
  float: right;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.folder_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.notebook_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.file_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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;
}
#new-menu .dropdown-header {
  font-size: 10px;
  border-bottom: 1px solid #e5e5e5;
  padding: 0 0 3px;
  margin: -3px 20px 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;
}
.move-button {
  display: none;
}
.download-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.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.fa-pull-right {
  margin-left: .3em;
}
.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);
  }
}
.CodeMirror-dialog {
  background-color: #fff;
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI escape sequences */
/* The color values are a mix of
   http://www.xcolors.net/dl/baskerville-ivorylight and
   http://www.xcolors.net/dl/euphrasia */
.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-default-inverse-fg {
  color: #FFFFFF;
}
.ansi-default-inverse-bg {
  background-color: #000000;
}
.ansi-bold {
  font-weight: bold;
}
.ansi-underline {
  text-decoration: underline;
}
/* The following styles are deprecated an will be removed in a future version */
.ansibold {
  font-weight: bold;
}
.ansi-inverse {
  outline: 0.5px dotted;
}
/* 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;
  position: relative;
  overflow: visible;
}
div.cell:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: transparent;
}
div.cell.jupyter-soft-selected {
  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,
div.cell.selected.jupyter-soft-selected {
  border-color: #ababab;
}
div.cell.selected:before,
div.cell.selected.jupyter-soft-selected:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: #42A5F5;
}
@media print {
  div.cell.selected,
  div.cell.selected.jupyter-soft-selected {
    border-color: transparent;
  }
}
.edit_mode div.cell.selected {
  border-color: #66BB6A;
}
.edit_mode div.cell.selected:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: #66BB6A;
}
@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 {
  min-width: 0;
  /* 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;
}
/* 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. */
  /* Note that this should set vertical padding only, since CodeMirror assumes
       that horizontal padding will be set on CodeMirror pre */
  padding: 0.4em 0;
}
.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. This sets horizontal padding only,
    use .CodeMirror-lines for vertical */
  padding: 0 0.4em;
  border: 0;
  border-radius: 0;
}
.CodeMirror-cursor {
  border-left: 1.4px solid black;
}
@media screen and (min-width: 2138px) and (max-width: 4319px) {
  .CodeMirror-cursor {
    border-left: 2px solid black;
  }
}
@media screen and (min-width: 4320px) {
  .CodeMirror-cursor {
    border-left: 4px solid black;
  }
}
/*

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;
}
div.output_area .mglyph > img {
  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: 1px 0 1px 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:not(.list-inline),
.rendered_html ol:not(.list-inline) {
  padding-left: 2em;
}
.rendered_html ul {
  list-style: disc;
}
.rendered_html ul ul {
  list-style: square;
  margin-top: 0;
}
.rendered_html ul ul ul {
  list-style: circle;
}
.rendered_html ol {
  list-style: decimal;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin-top: 0;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
}
.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;
  padding: 0px;
  background-color: #fff;
}
.rendered_html code {
  background-color: #eff0f1;
}
.rendered_html p code {
  padding: 1px 5px;
}
.rendered_html pre code {
  background-color: #fff;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  color: #000;
  font-size: 100%;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: none;
  border-collapse: collapse;
  border-spacing: 0;
  color: black;
  font-size: 12px;
  table-layout: fixed;
}
.rendered_html thead {
  border-bottom: 1px solid black;
  vertical-align: bottom;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  text-align: right;
  vertical-align: middle;
  padding: 0.5em 0.5em;
  line-height: normal;
  white-space: normal;
  max-width: none;
  border: none;
}
.rendered_html th {
  font-weight: bold;
}
.rendered_html tbody tr:nth-child(odd) {
  background: #f5f5f5;
}
.rendered_html tbody tr:hover {
  background: rgba(66, 165, 245, 0.2);
}
.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;
}
.rendered_html .alert {
  margin-bottom: initial;
}
.rendered_html * + .alert {
  margin-top: 1em;
}
[dir="rtl"] .rendered_html p {
  text-align: right;
}
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.rendered .rendered_html tr,
.text_cell.rendered .rendered_html th,
.text_cell.rendered .rendered_html td {
  max-width: none;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.text_cell .dropzone .input_area {
  border: 2px dashed #bababa;
  margin: -1px;
}
.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;
}
.jupyter-keybindings {
  padding: 1px;
  line-height: 24px;
  border-bottom: 1px solid gray;
}
.jupyter-keybindings input {
  margin: 0;
  padding: 0;
  border: none;
}
.jupyter-keybindings i {
  padding: 6px;
}
.well code {
  background-color: #ffffff;
  border-color: #ababab;
  border-width: 1px;
  border-style: solid;
  padding: 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;
}
.tags_button_container {
  width: 100%;
  display: flex;
}
.tag-container {
  display: flex;
  flex-direction: row;
  flex-grow: 1;
  overflow: hidden;
  position: relative;
}
.tag-container > * {
  margin: 0 4px;
}
.remove-tag-btn {
  margin-left: 4px;
}
.tags-input {
  display: flex;
}
.cell-tag:last-child:after {
  content: "";
  position: absolute;
  right: 0;
  width: 40px;
  height: 100%;
  /* Fade to background color of cell toolbar */
  background: linear-gradient(to right, rgba(0, 0, 0, 0), #EEE);
}
.tags-input > * {
  margin-left: 4px;
}
.cell-tag,
.tags-input input,
.tags-input button {
  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;
  box-shadow: none;
  width: inherit;
  font-size: inherit;
  height: 22px;
  line-height: 22px;
  padding: 0px 4px;
  display: inline-block;
}
.cell-tag:focus,
.tags-input input:focus,
.tags-input button: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);
}
.cell-tag::-moz-placeholder,
.tags-input input::-moz-placeholder,
.tags-input button::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.cell-tag:-ms-input-placeholder,
.tags-input input:-ms-input-placeholder,
.tags-input button:-ms-input-placeholder {
  color: #999;
}
.cell-tag::-webkit-input-placeholder,
.tags-input input::-webkit-input-placeholder,
.tags-input button::-webkit-input-placeholder {
  color: #999;
}
.cell-tag::-ms-expand,
.tags-input input::-ms-expand,
.tags-input button::-ms-expand {
  border: 0;
  background-color: transparent;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
.cell-tag[readonly],
.tags-input input[readonly],
.tags-input button[readonly],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  background-color: #eeeeee;
  opacity: 1;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  cursor: not-allowed;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button {
  height: auto;
}
select.cell-tag,
select.tags-input input,
select.tags-input button {
  height: 30px;
  line-height: 30px;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button,
select[multiple].cell-tag,
select[multiple].tags-input input,
select[multiple].tags-input button {
  height: auto;
}
.cell-tag,
.tags-input button {
  padding: 0px 4px;
}
.cell-tag {
  background-color: #fff;
  white-space: nowrap;
}
.tags-input input[type=text]:focus {
  outline: none;
  box-shadow: none;
  border-color: #ccc;
}
.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 .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
[dir="rtl"] #kernel_logo_widget {
  float: left !important;
  float: left;
}
.modal .modal-body .move-path {
  display: flex;
  flex-direction: row;
  justify-content: space;
  align-items: center;
}
.modal .modal-body .move-path .server-root {
  padding-right: 20px;
}
.modal .modal-body .move-path .path-input {
  flex: 1;
}
#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;
}
[dir="rtl"] #menubar .navbar-toggle {
  float: right;
}
[dir="rtl"] #menubar .navbar-collapse {
  clear: right;
}
[dir="rtl"] #menubar .navbar-nav {
  float: right;
}
[dir="rtl"] #menubar .nav {
  padding-right: 0px;
}
[dir="rtl"] #menubar .navbar-nav > li {
  float: right;
}
[dir="rtl"] #menubar .navbar-right {
  float: left !important;
}
[dir="rtl"] ul.dropdown-menu {
  text-align: right;
  left: auto;
}
[dir="rtl"] ul#new-menu.dropdown-menu {
  right: auto;
  left: 0;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
[dir="rtl"] i.menu-icon.pull-right {
  float: left !important;
  float: left;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
[dir="rtl"] ul#help_menu li a {
  padding-left: 2.2em;
}
[dir="rtl"] ul#help_menu li a i {
  margin-right: 0;
  margin-left: -1.2em;
}
[dir="rtl"] ul#help_menu li a i.pull-right {
  float: left !important;
  float: left;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -1px;
}
[dir="rtl"] .dropdown-submenu > .dropdown-menu {
  right: 100%;
  margin-right: -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.fa-pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.fa-pull-right {
  margin-left: .3em;
}
.dropdown-submenu > a:after.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
[dir="rtl"] .dropdown-submenu > a:after {
  float: left;
  content: "\f0d9";
  margin-right: 0;
  margin-left: -10px;
}
.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;
}
[dir="rtl"] #notification_area {
  float: left !important;
  float: left;
}
.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;
}
[dir="rtl"] .indicator_area {
  float: left !important;
  float: left;
}
#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;
}
[dir="rtl"] #kernel_indicator {
  float: left !important;
  float: left;
  border-left: 0;
  border-right: 1px solid;
}
#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;
}
[dir="rtl"] #modal_indicator {
  float: left !important;
  float: left;
}
#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.fa-pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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.fa-pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.fa-pull-right {
  margin-left: .3em;
}
.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: 21ex;
  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 {
  height: 30px;
  margin-top: 4px;
  display: flex;
  justify-content: flex-start;
  align-items: baseline;
  width: 50%;
  flex: 1;
}
span.save_widget span.filename {
  height: 100%;
  line-height: 1em;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  text-overflow: ellipsis;
  overflow: hidden;
  white-space: nowrap;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
[dir="rtl"] span.save_widget.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] span.save_widget span.filename {
  margin-left: 0;
  margin-right: 16px;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
  white-space: nowrap;
  padding: 0 5px;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
    padding: 0 0 0 5px;
  }
  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;
}
.toolbar-btn-label {
  margin-left: 6px;
}
#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;
}
[dir="rtl"] .btn-group > .btn,
.btn-group-vertical > .btn {
  float: right;
}
.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;
}
[dir="rtl"] ul.typeahead-list i {
  margin-left: 0;
  margin-right: -10px;
}
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;
}
ul.typeahead-list  > li > a.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .typeahead-list {
  text-align: right;
}
.cmd-palette .modal-body {
  padding: 7px;
}
.cmd-palette form {
  background: white;
}
.cmd-palette input {
  outline: none;
}
.no-shortcut {
  min-width: 20px;
  color: transparent;
}
[dir="rtl"] .no-shortcut.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .command-shortcut.pull-right {
  float: left !important;
  float: left;
}
.command-shortcut:before {
  content: "(command mode)";
  padding-right: 3px;
  color: #777777;
}
.edit-shortcut:before {
  content: "(edit)";
  padding-right: 3px;
  color: #777777;
}
[dir="rtl"] .edit-shortcut.pull-right {
  float: left !important;
  float: left;
}
#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;
}
[dir="ltr"] #find-and-replace .input-group-btn + .form-control {
  border-left: none;
}
[dir="rtl"] #find-and-replace .input-group-btn + .form-control {
  border-right: none;
}
#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 {
  width: 100%;
  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 .xterm-rows {
  padding: 10px;
}
.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 .sa { color: #BA2121 } /* Literal.String.Affix */
.highlight .sb { color: #BA2121 } /* Literal.String.Backtick */
.highlight .sc { color: #BA2121 } /* Literal.String.Char */
.highlight .dl { color: #BA2121 } /* Literal.String.Delimiter */
.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 .fm { color: #0000FF } /* Name.Function.Magic */
.highlight .vc { color: #19177C } /* Name.Variable.Class */
.highlight .vg { color: #19177C } /* Name.Variable.Global */
.highlight .vi { color: #19177C } /* Name.Variable.Instance */
.highlight .vm { color: #19177C } /* Name.Variable.Magic */
.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">
/* 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://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/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="Index">Index<a class="anchor-link" href="#Index">&#182;</a></h1><h4 id="1.What-is-Eular-Maruyama-Scheme">1.What is Eular-Maruyama Scheme<a class="anchor-link" href="#1.What-is-Eular-Maruyama-Scheme">&#182;</a></h4><h4 id="2.Simulating-Price-using-Eular-Maruyama-Scheme">2.Simulating Price using Eular-Maruyama Scheme<a class="anchor-link" href="#2.Simulating-Price-using-Eular-Maruyama-Scheme">&#182;</a></h4><h4 id="3.European-Binary-Options-Pricing">3.European Binary Options Pricing<a class="anchor-link" href="#3.European-Binary-Options-Pricing">&#182;</a></h4><h4 id="4.European-Lookback-Options-Pricing">4.European Lookback Options Pricing<a class="anchor-link" href="#4.European-Lookback-Options-Pricing">&#182;</a></h4><h4 id="5.Extension-with-Stochastic-Volatility-and-Stochastic-Interest-Rate">5.Extension with Stochastic Volatility and Stochastic Interest Rate<a class="anchor-link" href="#5.Extension-with-Stochastic-Volatility-and-Stochastic-Interest-Rate">&#182;</a></h4><h4 id="6.Conclusion-and-Reference">6.Conclusion and Reference<a class="anchor-link" href="#6.Conclusion-and-Reference">&#182;</a></h4>
</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">
<h1 id="1.-What-is-Euler-Maruyama-Scheme">1. What is Euler-Maruyama Scheme<a class="anchor-link" href="#1.-What-is-Euler-Maruyama-Scheme">&#182;</a></h1>
</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>First we define a stochastic differential equation as following
$$ dX_{t} = a(X_{t})dt+b(X_{t})dW_{t} \ \ \ \ \ \ (1)\ \ \ \ SDE$$</p>
<p>Where $W_{t}$ is a $Winener\  Process$,</p>
<p>and the initial condition of this SDE is $X_{0} = x_{0}$</p>
<p>The $solution$ of this SDE with the $Euler–Maruyama Scheme$ is a $Marcov$ $Chain$, here we call it $Y$, defined as follows:</p>
$$Y_{n+1}= Y_{n}+a(Y_{n})*\Delta t + b(Y_{n})*\Delta W_{n} \ \ \ \ \ (2)\ Numerical \ \ Solution  $$<p>Where</p>
<p>we partition the interval $[0,T]$ into $N$ equal subintervals of with $\Delta t &gt; 0$ :</p>
$$0 = t_{0} &lt; t_{1}&lt; . . . &lt; T_{N} = T$$<p>
and
$$\Delta t = T/N\ \ \ \ \ \ \ \ \ \ \ \ (3)\ Definition\ of\ \Delta t$$</p>
$$\Delta W_{n} = W_{t_{n+1}}-W_{t_{n}}\ \ \ \ \ \ \ \ (4) Definition \ \ \ of \ \ \Delta_{W_{n}}$$
</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>Second, Let's look at an example of using Euler-Maruyama method to solve Ornstein-Uhlenbeck Process which is defined by:</p>
$$dY_{t} = \theta*(\mu - Y_{t})dt + \sigma*dW_{t}\ \ \ \ \ \ (5) Ornstein-Uhlenbeck\ Process$$
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[115]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></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="n">num_sims</span> <span class="o">=</span> <span class="mi">1000</span><span class="c1">#Number of simulations</span>

<span class="n">t_init</span> <span class="o">=</span> <span class="mi">0</span> <span class="c1">#Start Time</span>
<span class="n">t_end</span> <span class="o">=</span> <span class="mi">1</span>  <span class="c1">#End Time</span>
<span class="n">N</span> <span class="o">=</span> <span class="mi">1000</span>  <span class="c1">#Number of nodes in every single Simulation</span>
<span class="n">dt</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="n">t_end</span> <span class="o">-</span> <span class="n">t_init</span><span class="p">)</span><span class="o">/</span><span class="mi">1000</span>
<span class="n">y_init</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span><span class="c1">#Initial Point</span>

<span class="n">c_theta</span> <span class="o">=</span> <span class="mf">0.7</span> <span class="c1">##theta</span>
<span class="n">c_mu</span> <span class="o">=</span> <span class="mf">0.05</span> <span class="c1">##mu</span>
<span class="n">c_sigma</span> <span class="o">=</span> <span class="mf">0.06</span>

<span class="k">def</span> <span class="nf">mu</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">t</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">c_theta</span><span class="o">*</span><span class="p">(</span><span class="n">c_mu</span> <span class="o">-</span> <span class="n">y</span><span class="p">)</span>

<span class="k">def</span> <span class="nf">sigma</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">t</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">c_sigma</span>

<span class="k">def</span> <span class="nf">dW</span><span class="p">(</span><span class="n">delta_t</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">loc</span> <span class="o">=</span> <span class="mf">0.0</span><span class="p">,</span> <span class="n">scale</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="n">delta_t</span><span class="p">))</span>

<span class="n">ts</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">t_init</span><span class="p">,</span><span class="n">t_end</span><span class="p">,</span><span class="n">dt</span><span class="p">)</span>
<span class="n">ys</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">N</span><span class="p">)</span>
<span class="n">ys</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">y_init</span>

<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">num_sims</span><span class="p">):</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">1</span><span class="p">,</span><span class="n">ts</span><span class="o">.</span><span class="n">size</span><span class="p">):</span>
        <span class="n">t</span> <span class="o">=</span> <span class="p">(</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="n">dt</span>
        <span class="n">y</span> <span class="o">=</span> <span class="n">ys</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
        <span class="n">ys</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">y</span> <span class="o">+</span> <span class="n">mu</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">t</span><span class="p">)</span><span class="o">*</span><span class="n">dt</span> <span class="o">+</span> <span class="n">sigma</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">t</span><span class="p">)</span><span class="o">*</span><span class="n">dW</span><span class="p">(</span><span class="n">dt</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">ts</span><span class="p">,</span><span class="n">ys</span><span class="p">)</span>

<span class="nb">print</span> <span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">ys</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</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>-0.006303109029082253
</pre>
</div>
</div>

<div class="output_area">

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


<div class="output_png output_subarea ">
<img src="data:image/png;base64,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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>$Ornstein-Uhlenbeck\ Process$ model can be an important model in financial modeling world espeically when it comes to inerest rate modeling. This model will be further discussed in the rest part of article.</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">
<h1 id="2.-Simulating-Price-using-Euler-Maruyama-Scheme">2. Simulating Price using Euler-Maruyama Scheme<a class="anchor-link" href="#2.-Simulating-Price-using-Euler-Maruyama-Scheme">&#182;</a></h1><p>Now we want to use Euler-Maruyama Scheme to simulate the price of an asset, the formula we can use is like</p>
$$ \delta S = rS\delta t + \sigma S \sqrt{\delta t}\phi \ \ \ \ \ \ (6)Pricing Path $$<p>Here $\delta t$ refers to as the time step in the discrete time, and $\phi$ refers to a standard normal distribution.</p>
<p>Now let us start our $Monte\ Carlo\ Simulation$ for stock price paths based on Euler-Maruyama Scheme</p>
<p>Before starting our experiment, it is a good habit to make clear that:
$$S_{0} = 100$$</p>
$$T = 1 year$$$$\sigma_{annual} = 20 \%$$$$R_{risk-free} = 5\%$$<p>Now let me start with creating a class for Monte Carlo Simulation</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[179]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">###Import Packages</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">pandas</span> <span class="k">as</span> <span class="nn">pd</span>
<span class="c1">###Create a class</span>
<span class="k">class</span> <span class="nc">monte_carlo</span><span class="p">:</span>
    
    <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">initial_price</span><span class="p">,</span><span class="n">annual_vol</span><span class="p">,</span><span class="n">risk_free_rate</span><span class="p">):</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">initial_price</span> <span class="o">=</span> <span class="n">initial_price</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">annual_vol</span> <span class="o">=</span> <span class="n">annual_vol</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">risk_free_rate</span> <span class="o">=</span> <span class="n">risk_free_rate</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">simulation_df</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">()</span>
    
    <span class="k">def</span> <span class="nf">monte_carlo_sim</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">sims_num</span><span class="p">,</span><span class="n">days_num</span><span class="p">):</span>
        <span class="n">annual_vol</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">annual_vol</span>
        <span class="n">initial_price</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">initial_price</span>
        <span class="n">risk_free_rate</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">risk_free_rate</span>
        <span class="n">daily_rf</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">risk_free_rate</span><span class="o">/</span><span class="n">days_num</span>
        <span class="n">delta_t</span> <span class="o">=</span> <span class="mi">1</span><span class="o">/</span><span class="mi">251</span>
    
        <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">sims_num</span><span class="p">):</span>
            <span class="n">count</span> <span class="o">=</span> <span class="mi">0</span>
        
            <span class="n">price_series</span><span class="o">=</span><span class="p">[]</span>
            <span class="n">price_series</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">initial_price</span><span class="p">)</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="n">days_num</span><span class="p">):</span>
                <span class="k">if</span> <span class="n">count</span> <span class="o">==</span> <span class="n">days_num</span><span class="p">:</span>
                    <span class="k">break</span>
                <span class="n">delta_price</span> <span class="o">=</span> <span class="n">risk_free_rate</span><span class="o">*</span><span class="n">price_series</span><span class="p">[</span><span class="n">count</span><span class="p">]</span><span class="o">*</span><span class="n">delta_t</span> <span class="o">+</span> <span class="n">annual_vol</span><span class="o">*</span><span class="n">price_series</span><span class="p">[</span><span class="n">count</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="n">delta_t</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">normal</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
                <span class="n">price</span> <span class="o">=</span> <span class="n">price_series</span><span class="p">[</span><span class="n">count</span><span class="p">]</span> <span class="o">+</span> <span class="n">delta_price</span>
                <span class="n">price_series</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">price</span><span class="p">)</span>
                <span class="n">count</span> <span class="o">+=</span><span class="mi">1</span>
                
            <span class="bp">self</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">[</span><span class="n">x</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="n">price_series</span><span class="p">)</span>
            <span class="n">x</span><span class="o">=</span><span class="n">x</span><span class="o">+</span><span class="mi">1</span>
    
</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;[180]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">### Simulation</span>
<span class="n">mc</span> <span class="o">=</span> <span class="n">monte_carlo</span><span class="p">(</span><span class="mf">100.0</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">1000</span><span class="p">,</span><span class="mi">251</span><span class="p">)</span><span class="c1">#Simulation number = 100, day number = 251</span>
</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;[181]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">###Visualization</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">mc</span><span class="o">.</span><span class="n">simulation_df</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="s1">&#39;Monte Carlo Simulation&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</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,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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">
<h1 id="3.-European-Binay-Options-Pricing">3. European Binay Options Pricing<a class="anchor-link" href="#3.-European-Binay-Options-Pricing">&#182;</a></h1><h2 id="3.1-Payoff-of-Binary-Options">3.1 Payoff of Binary Options<a class="anchor-link" href="#3.1-Payoff-of-Binary-Options">&#182;</a></h2><p>Usually we can determine the value of options by dicounting payoff under the risk neutral density using following formula:</p>
$$V(S(T),T) = E[e^{-\int^{T}_{t}r_{\tau}d{\tau}}Payoff]\ \ \ \ \ (7) Discounting $$<p>So for pricing our binary options with strike price $ k =100$, we only need to know the payoff situations of put or call</p>
<p>For binary put options:
$$
Payoff(T)=\begin{cases}
Q,&amp;S_{T}&gt;=K \\ 0,&amp;S_{T}&lt;K \
\end{cases}
$$</p>
<p>For binary call options:
$$
Payoff(T)=\begin{cases}
Q,&amp;S_{T}&lt;K \\ 0,&amp;S_{T}&gt;=K \
\end{cases}
$$</p>
<p>Clearly, the value of $Q$ will not directly influence our analysis on pricing, so here we can assume $Q=20$</p>
<h2 id="3.2-Pricing-Binary-Options">3.2 Pricing Binary Options<a class="anchor-link" href="#3.2-Pricing-Binary-Options">&#182;</a></h2><p>Assume after Monte Carlo Simulations of n times, we have a set with the final price of stocks</p>
$$S =\{ {P_{1},P_{2},...,P_{n}}\}$$<p>we can easily get the $Payoff$ of Binary Call Options and Binary Put Options based on $Payoff(T)$. Then we get 2 sets representing the possible future payoffs put options</p>
$$Set_{Put\ Payoff} = \{Payoff_{Put_{1}},Payoff_{Put_{2}},...,Payoff_{Put_{n}}\}$$$$Set_{Call\ Payoff} = \{Payoff_{Call_{1}},Payoff_{Call_{2}},...,Payoff_{Call_{n}}\}$$<p>Now we can easily average these 2 sets to get the prices of options
$$P(T) = Average(S_{Put\ Payoff})e^{-\int^{T}_{t}r_{\tau}d{\tau}}\ \ \ \ \ (8)$$
$$C(T) = Average(S_{Callt\ Payoff})e^{-\int^{T}_{t}r_{\tau}d{\tau}}\ \ \ \ \ (9)$$</p>
<p>Now with so much imformation, let me start coding</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="3.3-Codings">3.3 Codings<a class="anchor-link" href="#3.3-Codings">&#182;</a></h2>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[182]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Running Time 10S - 20S</span>
<span class="c1">###Create 3 Monte Carlo Simulations, each has simulation number of 500, 1000, 2000</span>
<span class="n">mc_500</span> <span class="o">=</span> <span class="n">monte_carlo</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc_500</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">500</span><span class="p">,</span><span class="mi">251</span><span class="p">)</span> <span class="c1"># Simulation number = 500, day number = 251</span>

<span class="n">mc_2000</span> <span class="o">=</span> <span class="n">monte_carlo</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc_2000</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">2000</span><span class="p">,</span><span class="mi">251</span><span class="p">)</span> <span class="c1"># Simulation number = 1000, day number = 251</span>

<span class="n">mc_10000</span> <span class="o">=</span> <span class="n">monte_carlo</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc_10000</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">10000</span><span class="p">,</span><span class="mi">251</span><span class="p">)</span> <span class="c1"># Simulation number = 1000, day number = 251</span>
</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;[183]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">###We slice the final price states</span>
<span class="n">final_prices_500</span> <span class="o">=</span> <span class="n">mc_500</span><span class="o">.</span><span class="n">simulation_df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">251</span><span class="p">]</span>
<span class="n">final_prices_2000</span> <span class="o">=</span> <span class="n">mc_2000</span><span class="o">.</span><span class="n">simulation_df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">251</span><span class="p">]</span>
<span class="n">final_prices_10000</span> <span class="o">=</span> <span class="n">mc_10000</span><span class="o">.</span><span class="n">simulation_df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">251</span><span class="p">]</span>
</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>With the final price states, we can easily compute the payoff of binary options
We first define 2 functions for pricing</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[184]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Define the function for valuing the Binary Call Options</span>
<span class="k">def</span> <span class="nf">pricing_call</span><span class="p">(</span><span class="n">final_prices</span><span class="p">):</span>
    <span class="n">risk_free_rate</span> <span class="o">=</span> <span class="mf">0.05</span>
    <span class="n">T</span> <span class="o">=</span> <span class="mi">1</span>
    <span class="n">call_payoffs</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">Series</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">final_prices</span><span class="o">.</span><span class="n">size</span><span class="p">))</span>
    <span class="n">call_payoffs</span><span class="p">[</span><span class="n">final_prices</span><span class="o">&lt;</span> <span class="mi">100</span> <span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
    <span class="n">call_payoffs</span><span class="p">[</span><span class="n">final_prices</span> <span class="o">&gt;=</span> <span class="mi">100</span> <span class="p">]</span> <span class="o">=</span> <span class="mi">20</span>
    <span class="n">call_price</span> <span class="o">=</span> <span class="n">call_payoffs</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="n">T</span><span class="o">*</span><span class="n">risk_free_rate</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">call_price</span>
</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;[185]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Define the function for valuing the Binary Put Options</span>
<span class="k">def</span> <span class="nf">pricing_put</span><span class="p">(</span><span class="n">final_prices</span><span class="p">):</span>
    <span class="n">risk_free_rate</span> <span class="o">=</span> <span class="mf">0.05</span>
    <span class="n">T</span> <span class="o">=</span> <span class="mi">1</span>
    <span class="n">put_payoffs</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">Series</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">final_prices</span><span class="o">.</span><span class="n">size</span><span class="p">))</span>
    <span class="n">put_payoffs</span><span class="p">[</span><span class="n">final_prices</span> <span class="o">&gt;</span> <span class="mi">100</span> <span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
    <span class="n">put_payoffs</span><span class="p">[</span><span class="n">final_prices</span> <span class="o">&lt;=</span> <span class="mi">100</span> <span class="p">]</span> <span class="o">=</span> <span class="mi">20</span>
    <span class="n">put_price</span> <span class="o">=</span> <span class="n">put_payoffs</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="n">T</span><span class="o">*</span><span class="n">risk_free_rate</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">put_price</span>
</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>Now, we can easily average the payoffs and discount results to get our expected options prices</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[186]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">call_price_500</span> <span class="o">=</span> <span class="n">pricing_call</span><span class="p">(</span><span class="n">final_prices_500</span><span class="p">)</span>
<span class="n">call_price_2000</span> <span class="o">=</span> <span class="n">pricing_call</span><span class="p">(</span><span class="n">final_prices_2000</span><span class="p">)</span>
<span class="n">call_price_10000</span><span class="o">=</span> <span class="n">pricing_call</span><span class="p">(</span><span class="n">final_prices_10000</span><span class="p">)</span>

<span class="n">put_price_500</span> <span class="o">=</span> <span class="n">pricing_put</span><span class="p">(</span><span class="n">final_prices_500</span><span class="p">)</span>
<span class="n">put_price_2000</span> <span class="o">=</span> <span class="n">pricing_put</span><span class="p">(</span><span class="n">final_prices_2000</span><span class="p">)</span>
<span class="n">put_price_10000</span><span class="o">=</span> <span class="n">pricing_put</span><span class="p">(</span><span class="n">final_prices_10000</span><span class="p">)</span>
</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;[187]:</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">f</span><span class="s1">&#39;The Price of Call with 500 sims is approximately </span><span class="si">{call_price_500}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Call with 2000sims is approximately </span><span class="si">{call_price_2000}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Call with 10000 sims is approximately </span><span class="si">{call_price_10000}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;-------------------------------------------------------------------------------&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Put with 500 sims is approximately </span><span class="si">{put_price_500}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Put with 2000 sims is approximately </span><span class="si">{put_price_2000}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Put with 10000 sims is approximately </span><span class="si">{put_price_10000}</span><span class="s1">.&#39;</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>The Price of Call with 500 sims is approximately 10.21761465996759.
The Price of Call with 2000sims is approximately 10.83992310661644.
The Price of Call with 10000 sims is approximately 10.632003248544835.
-------------------------------------------------------------------------------
The Price of Put with 500 sims is approximately 8.80697383004669.
The Price of Put with 2000 sims is approximately 8.18466538339784.
The Price of Put with 10000 sims is approximately 8.392585241469446.
</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="3.4-BS-Model-Theoretical-Pricing">3.4 BS-Model Theoretical Pricing<a class="anchor-link" href="#3.4-BS-Model-Theoretical-Pricing">&#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>We can also generate the price of Binary Options using BS Model
As before, we denote $k$ as strike price, $T=1$ as year to maturity, $\sigma$ as annual volatility, $R_{risk-free}$ as annual risk free rate, $\phi$ as the CDF of standard normal distribution, $Q$ as the cash income if exercised.</p>
<p>Based on BS model, we know the price of cash-or-nothing put should be:
$$P = Q*e^{-rT}\phi(-d_{2}) \ \ \ \ \ \ \  (10)$$
the price of cash-or-nothing put should be:
$$C = Q*e^{-rT}\phi(d_{2}) \ \ \ \ \ \ \  (11)$$</p>
<p>Where $$d1=\frac{ln \frac{s}{k}+(r+\sigma ^{2}/2)T}{\sigma \sqrt{T}} \ \ \ \ \ \ \ (12)$$
$$d2= d1- \sigma \sqrt{T} \ \ \ \ \ \ \ (13)$$</p>
<p>Thus the theoretical price of European call options shall be
$$C(T) = 10.647301$$,</p>
<p>the theoretical price of call options shall be $$P(T)=8.3772873$$</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">
<h1 id="3.5-Error-Analysis-and-Observations-on-Binary-Options">3.5 Error Analysis and Observations on Binary Options<a class="anchor-link" href="#3.5-Error-Analysis-and-Observations-on-Binary-Options">&#182;</a></h1><p>Now we have our theoretical BS-Model based options prices and complete steps to pricing our options numerically, we can now start analyze the error caused by different simulation times</p>
<table>
<thead><tr>
<th>Type</th>
<th>Path Number</th>
<th>Theoretical Price</th>
<th>Absolute Difference</th>
<th>Relative Difference</th>
</tr>
</thead>
<tbody>
<tr>
<td>Call</td>
<td>500</td>
<td>10.647301</td>
<td>0.26571</td>
<td>2.41%</td>
</tr>
<tr>
<td>Call</td>
<td>2000</td>
<td>10.647301</td>
<td>0.192622</td>
<td>1.81%</td>
</tr>
<tr>
<td>Call</td>
<td>10000</td>
<td>10.637301</td>
<td>-0.00769</td>
<td>-0.07%</td>
</tr>
<tr>
<td></td>
</tr>
<tr>
<td>Put</td>
<td>500</td>
<td>8.3772873</td>
<td>-0.25657</td>
<td>-3.06%</td>
</tr>
<tr>
<td>Put</td>
<td>2000</td>
<td>8.3772873</td>
<td>-0.19262</td>
<td>-2.30%</td>
</tr>
<tr>
<td>Put</td>
<td>10000</td>
<td>8.3772873</td>
<td>0.007687</td>
<td>0.09%</td>
</tr>
</tbody>
</table>
<p>Based on the table, we will have following interesting observations:</p>
<p>1)As the increase of the simulation times, both the numerical simulated price of put and call converges to the BS-Model theoretical price.</p>
<p>2)The simulated price of call options is more accurate than the simulated price of put options. It may be caused by the computer pseudo number generating regimes.</p>
<p>3)The Monte Carlo simulation based on Euler Method seems to tend to overprice Binary Call Options but underestimate Binary Put Options. It may be caused by that in the Python pseudo number generator, higher probability the extreme positive number will be returned</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">
<h1 id="4.-European-Lookback-Options-Pricing">4. European Lookback Options Pricing<a class="anchor-link" href="#4.-European-Lookback-Options-Pricing">&#182;</a></h1><h2 id="4.1-Floating-Strike-Scheme">4.1 Floating Strike Scheme<a class="anchor-link" href="#4.1-Floating-Strike-Scheme">&#182;</a></h2><h3 id="4.1.1-Payoff-Scheme">4.1.1 Payoff Scheme<a class="anchor-link" href="#4.1.1-Payoff-Scheme">&#182;</a></h3><p>This kind of option's strike price is the optimal value of the underlying asset's price before the maturity of the option.</p>
<p>(1)For the call, the strike price is the underlying asset's $minimum$ price during the option's life</p>
<p>(2)The strike price of the put is the underlying asset's $highest$ pricing during the option's life.</p>
<p>The payoff functions for floating lookback options are given below by:</p>
$$
Payoff(T)=\begin{cases}
max(S_{T}-S_{min},0) = S_{T}-S_{min},&amp;Call \\ max(S_{max}-S_{T},0)=S_{max}-S_{T},&amp;Put \
\end{cases}
$$<h3 id="4.1.2-Pricing-with-Discrete-Sampling-Monte-Carlo-Simulation">4.1.2 Pricing with Discrete Sampling Monte Carlo Simulation<a class="anchor-link" href="#4.1.2-Pricing-with-Discrete-Sampling-Monte-Carlo-Simulation">&#182;</a></h3><p>As I did before, I still use $Euler-Maruyama$ method to simulate the price paths of underlying assets. For each price path, I can get a payoff of the call computed by $S_{T} - S_{min}$,</p>
<p>where $S_{T}$ refers to the price of underlying asset at maturity, $S_{min}$ is the discretely sampled lowest underlying asset price,</p>
<p>and the payoff of the put computed by $S_{max}-S_{T}$,</p>
<p>where $S_{max}$ represents the highest price discretely sampled during the period, $S_{T}$ represents the price of asset at maturity</p>
<p>After we get a set of payoff, we can again use $Formula (7)$ to compute the price of the option:</p>
$$V(S(T),T) = E[e^{-\int^{T}_{t}r_{\tau}d{\tau}}Payoff]\ \ \ \ \ (7) Discounting $$<p>Codings are attached below:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[188]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">### We still use the price paths generated before for valuing the Binary Options ###</span>
<span class="k">def</span> <span class="nf">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">df_paths</span><span class="p">,</span><span class="n">isCall</span><span class="p">,</span><span class="n">Rf</span><span class="p">,</span><span class="n">Years</span><span class="p">):</span>
    <span class="n">T</span> <span class="o">=</span> <span class="n">df_paths</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="k">if</span> <span class="p">(</span> <span class="n">isCall</span> <span class="p">):</span>
        <span class="n">payoff_series</span> <span class="o">=</span> <span class="n">df_paths</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="n">T</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">df_paths</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">axis</span> <span class="o">=</span> <span class="mi">0</span><span class="p">)</span>
        <span class="n">average_payoff</span> <span class="o">=</span> <span class="n">payoff_series</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
    <span class="k">if</span> <span class="p">(</span> <span class="ow">not</span> <span class="n">isCall</span><span class="p">):</span>
        <span class="n">payoff_series</span> <span class="o">=</span> <span class="o">-</span><span class="n">df_paths</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="n">T</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">df_paths</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">axis</span> <span class="o">=</span> <span class="mi">0</span><span class="p">)</span>
        <span class="n">average_payoff</span> <span class="o">=</span> <span class="n">payoff_series</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
        
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="n">Rf</span><span class="o">*</span><span class="n">Years</span><span class="p">)</span><span class="o">*</span><span class="n">average_payoff</span>
</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;[213]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Pricing the floating lookback call and put with 500 simulations</span>
<span class="n">flt_lkb_call_500</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_500</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">flt_lkb_put_500</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_500</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the floating lookback call and put with 1000 simulations</span>
<span class="n">flt_lkb_call_2000</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_2000</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">flt_lkb_put_2000</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_2000</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the floating lookback call and put with 2000 simulations</span>
<span class="n">flt_lkb_call_10000</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_10000</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">flt_lkb_put_10000</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_10000</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
</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;[214]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Output results</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Call with 500 sims is approximately </span><span class="si">{flt_lkb_call_500}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Calll with 2000 sims is approximately </span><span class="si">{flt_lkb_call_2000}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Call with 10000 sims is approximately </span><span class="si">{flt_lkb_call_10000}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;-------------------------------------------------------------------------------------------------&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Put with 500 sims is approximately </span><span class="si">{flt_lkb_put_500}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Put with 2000 sims is approximately </span><span class="si">{flt_lkb_put_2000}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Put with 10000 sims is approximately </span><span class="si">{flt_lkb_put_10000}</span><span class="s1">.&#39;</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>The Price of Floating Lookback Call with 500 sims is approximately 16.108841478289847.
The Price of Floating Lookback Calll with 2000 sims is approximately 16.07405742726674.
The Price of Floating Lookback Call with 10000 sims is approximately 16.72928477271876.
-------------------------------------------------------------------------------------------------
The Price of Floating Lookback Put with 500 sims is approximately 13.942553012593045.
The Price of Floating Lookback Put with 2000 sims is approximately 13.70347158867272.
The Price of Floating Lookback Put with 10000 sims is approximately 13.364542514879146.
</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">
<h3 id="4.1.3.1-Pricing-with-Continuous-Sampling-(BS-Model-Method)">4.1.3.1 Pricing with Continuous Sampling (BS-Model Method)<a class="anchor-link" href="#4.1.3.1-Pricing-with-Continuous-Sampling-(BS-Model-Method)">&#182;</a></h3><p>It is difficult to simulate the continuous situation numerically so here we replace it with BS-Model which is based on the continuous movement of underlying asset price. Then I will analyze error caused by Euler Method's Monte Carlo Simulation .</p>
<p>Assume that there exists a continuously-compounded risk-free interest rate $r &gt; 0$, and a constant stock's volatility $\sigma &gt;0$.</p>
<p>Assume that the time to maturity is $T&gt;0$</p>
<p>We denote $M = maxS_{u} $ where $0 \leq u \leq T$, which means $M$ is the maximum stock price over the period</p>
<p>We denote $m = minS_{u} $ where $0 \leq u \leq T$, which means $m$ is the minimum stock price over the period</p>
<p>Then we can compute the price of the lookback $call$ option with floating strike by:</p>
$$C(T) = S \phi(a_{1}(S,m)) - me^{-rT}\phi(a2(S,m))- \frac{S\sigma ^{2}}{2r}(\phi(-a_{1}(S,m))-e^{-rt}(m/s)^{2r/\sigma^{2}}\phi(-a_{3}(S,m)))\ \ \ \ \ \ \ (14)$$<p>And the price of the lookback put option with floating strike is:</p>
$$P(T) = -S\phi(-a_{1}(S,M))+Me^{-rt}\phi(-a_{2}(S,M))+\frac{S\sigma ^ {2}}{2r}(\phi(a_{1}(S,M)))-e^{-rt}(M/S)^{\frac{2r}{\sigma^{2}}}\phi(a_{3}(S,M))) \ \ \ \ \ \ \ (15)$$<p>where</p>
<p>$$a_{1}(S,H) = \frac{ln(S/H) + (r+\frac{\sigma ^{2}}{2})T}{\sigma\sqrt{T}} \ \ \ \ \ \ \ (16.1)$$</p>
<p>$$a_{2}(S,H) = \frac{ln(S/H) + (r-\frac{\sigma ^{2}}{2})T}{\sigma\sqrt{T}} = a_{1}(S,H) - \sigma \sqrt{T} \ \ \ \ \ (16.2)$$</p>
<p>$$a_{3}(S,H) = \frac{ln(S/H) - (r-\frac{\sigma ^{2}}{2})T}{\sigma\sqrt{T}} = a_{1}(S,H) - \frac{2r \sqrt{T}}{\sigma} \ \ \ \ \ \ (16.3)$$</p>
<p>Then we can compute the prices of the floating lookback call option and floating lookback put option</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="4.2-Fixed-Strike-Scheme">4.2 Fixed Strike Scheme<a class="anchor-link" href="#4.2-Fixed-Strike-Scheme">&#182;</a></h2><h3 id="4.2.1-Payoff-Scheme">4.2.1 Payoff Scheme<a class="anchor-link" href="#4.2.1-Payoff-Scheme">&#182;</a></h3><p>This kind of options' exercise price is fixed . The difference is that the options is not exercised at the price at maturity: the payoff is the maximum difference between the optimal asset price and the strike. The payoff functions are given below:</p>
$$
Payoff(T)=\begin{cases}
max(S_{max}-K,0) ,&amp;Call \\ max(K - S_{min},0),&amp;Put \
\end{cases}
$$
</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">
<h3 id="4.2.2-Pricing-with-Discrete-Sampling-with-Monte-Carlo-Simulation">4.2.2 Pricing with Discrete Sampling with Monte Carlo Simulation<a class="anchor-link" href="#4.2.2-Pricing-with-Discrete-Sampling-with-Monte-Carlo-Simulation">&#182;</a></h3><p>As I did before, I still use $Euler-Maruyama$ method to simulate the price paths of underlying assets. For each price path, I can get a payoff of the call computed by $S_{max} - K$,</p>
<p>where $S_{max}$ refers to the highest stock price during the period, $K$ is the strike price,</p>
<p>and the payoff of the put computed by $max(K-S_{min},0)$,</p>
<p>where $S_{min}$ represents the lowest price discretely sampled during the period, $K$ represents the strike price of the stock</p>
<p>After we get a set of payoff, we can again use $Formula (7)$ to compute the price of the option:</p>
$$V(S(T),T) = E[e^{-\int^{T}_{t}r_{\tau}d{\tau}}Payoff]\ \ \ \ \ (7) Discounting $$<p>Codings are attached below:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[215]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">### We still use the price paths generated before for valuing the Binary Options ###</span>
<span class="k">def</span> <span class="nf">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">df_paths</span><span class="p">,</span><span class="n">isCall</span><span class="p">,</span><span class="n">K</span><span class="p">,</span><span class="n">Rf</span><span class="p">,</span><span class="n">Years</span><span class="p">):</span>
    <span class="n">T</span> <span class="o">=</span> <span class="n">df_paths</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="k">if</span> <span class="p">(</span> <span class="n">isCall</span> <span class="p">):</span>
        <span class="n">payoff_series</span> <span class="o">=</span> <span class="o">-</span><span class="n">K</span> <span class="o">+</span> <span class="n">df_paths</span><span class="o">.</span><span class="n">max</span><span class="p">(</span><span class="n">axis</span> <span class="o">=</span> <span class="mi">0</span><span class="p">)</span>
        <span class="n">average_payoff</span> <span class="o">=</span> <span class="n">payoff_series</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
    <span class="k">if</span> <span class="p">(</span> <span class="ow">not</span> <span class="n">isCall</span><span class="p">):</span>
        <span class="n">payoff_series</span> <span class="o">=</span> <span class="n">K</span> <span class="o">-</span> <span class="n">df_paths</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">axis</span> <span class="o">=</span> <span class="mi">0</span><span class="p">)</span>
        <span class="n">average_payoff</span> <span class="o">=</span> <span class="n">payoff_series</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
        
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="n">Rf</span><span class="o">*</span><span class="n">Years</span><span class="p">)</span><span class="o">*</span><span class="n">average_payoff</span>
</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;[216]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Pricing the fixed lookback call and put with 500 simulations</span>
<span class="n">fx_lkb_call_500</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_500</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">fx_lkb_put_500</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_500</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the fixed lookback call and put with 1000 simulations</span>
<span class="n">fx_lkb_call_2000</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_2000</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">fx_lkb_put_2000</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_2000</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the fixed lookback call and put with 2000 simulations</span>
<span class="n">fx_lkb_call_10000</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_10000</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">fx_lkb_put_10000</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_10000</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
</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;[217]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Output results</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Call with 500 sims is approximately </span><span class="si">{fx_lkb_call_500}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Calll with 2000 sims is approximately </span><span class="si">{fx_lkb_call_2000}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Call with 10000 sims is approximately </span><span class="si">{fx_lkb_call_10000}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;-------------------------------------------------------------------------------------------------&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Put with 500 sims is approximately </span><span class="si">{fx_lkb_put_500}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Put with 2000 sims is approximately </span><span class="si">{fx_lkb_put_2000}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Put with 10000 sims is approximately </span><span class="si">{fx_lkb_put_10000}</span><span class="s1">.&#39;</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>The Price of Fixed Lookback Call with 500 sims is approximately 18.040561758715537.
The Price of Fixed Lookback Calll with 2000 sims is approximately 18.095365990954384.
The Price of Fixed Lookback Call with 10000 sims is approximately 18.439225407176068.
-------------------------------------------------------------------------------------------------
The Price of Fixed Lookback Put with 500 sims is approximately 12.010832732167355.
The Price of Fixed Lookback Put with 2000 sims is approximately 11.682163024985073.
The Price of Fixed Lookback Put with 10000 sims is approximately 11.65460188042196.
</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">
<h1 id="5.-Extension">5. Extension<a class="anchor-link" href="#5.-Extension">&#182;</a></h1>
</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="5.1-Combination-with-Stochastic-Interest-Rate-Model">5.1 Combination with Stochastic Interest Rate Model<a class="anchor-link" href="#5.1-Combination-with-Stochastic-Interest-Rate-Model">&#182;</a></h2><h3 id="5.1.1-Ornstein-Uhlenbeck-Process-for-Interest-Rate-Modeling">5.1.1 Ornstein-Uhlenbeck Process for Interest Rate Modeling<a class="anchor-link" href="#5.1.1-Ornstein-Uhlenbeck-Process-for-Interest-Rate-Modeling">&#182;</a></h3><p>In the real world, the interest rate is not constant but variable over the time, and it usually performs a strong $mean-reversion$ feature, so we can use some mean-reversion stochastic model to describe this interesting feature. $Ornstein-Uhlenbeck \ Process$ , a model for simulating the spot rate can be a good choice.</p>
<p>The $Ornstein-Uhlenbeck$ model for interest rate is defined as:
$$dr_{t} = a*(b - r_{t})dt + \sigma*dW_{t}\ \ \ \ \ \ (17)$$
where</p>
<p>$a$ is the rate at which the process $mean$ $reverts$, and $b$ is the $long\ run\ average\ interest\ rate$ and $\sigma$ can be viewed as the annual $volatility$ of the process.</p>
<p>Assume $a = 0.8$, $b = 0.05$, $\sigma = 0.2$,</p>
<p>followings are codes for simulating interest rate term structure based on $Ornstein-Uhlenbeck$ model</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[218]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></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="n">num_sims</span> <span class="o">=</span> <span class="mi">500</span><span class="c1">#Number of simulations</span>

<span class="n">t_init</span> <span class="o">=</span> <span class="mi">0</span> <span class="c1">#Start Time</span>
<span class="n">t_end</span> <span class="o">=</span> <span class="mi">1</span>  <span class="c1">#End Time</span>
<span class="n">N</span> <span class="o">=</span> <span class="mi">251</span>  <span class="c1">#Number of nodes in every single Simulation</span>
<span class="n">dt</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="n">t_end</span> <span class="o">-</span> <span class="n">t_init</span><span class="p">)</span><span class="o">/</span><span class="n">N</span>
<span class="n">y_init</span> <span class="o">=</span> <span class="mf">0.05</span><span class="p">;</span><span class="c1">#Initial Point</span>

<span class="n">c_theta</span> <span class="o">=</span> <span class="mf">0.8</span> <span class="c1">##theta</span>
<span class="n">c_mu</span> <span class="o">=</span> <span class="mf">0.05</span> <span class="c1">##mu</span>
<span class="n">c_sigma</span> <span class="o">=</span> <span class="mf">0.03</span>

<span class="k">def</span> <span class="nf">mu</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">t</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">c_theta</span><span class="o">*</span><span class="p">(</span><span class="n">c_mu</span> <span class="o">-</span> <span class="n">y</span><span class="p">)</span>

<span class="k">def</span> <span class="nf">sigma</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">t</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">c_sigma</span>

<span class="k">def</span> <span class="nf">dW</span><span class="p">(</span><span class="n">delta_t</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">loc</span> <span class="o">=</span> <span class="mf">0.0</span><span class="p">,</span> <span class="n">scale</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="n">delta_t</span><span class="p">))</span>

<span class="n">ts</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">t_init</span><span class="p">,</span><span class="n">t_end</span><span class="p">,</span><span class="n">dt</span><span class="p">)</span>
<span class="n">ys</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">N</span><span class="p">)</span>
<span class="n">ys</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">y_init</span>

<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">num_sims</span><span class="p">):</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">1</span><span class="p">,</span><span class="n">ts</span><span class="o">.</span><span class="n">size</span><span class="p">):</span>
        <span class="n">t</span> <span class="o">=</span> <span class="p">(</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="n">dt</span>
        <span class="n">y</span> <span class="o">=</span> <span class="n">ys</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
        <span class="n">ys</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">y</span> <span class="o">+</span> <span class="n">mu</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">t</span><span class="p">)</span><span class="o">*</span><span class="n">dt</span> <span class="o">+</span> <span class="n">sigma</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">t</span><span class="p">)</span><span class="o">*</span><span class="n">dW</span><span class="p">(</span><span class="n">dt</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">ts</span><span class="p">,</span><span class="n">ys</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</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,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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">
<h3 id="5.1.2-Options-Valuation-under-Stochastic-Interest-Model">5.1.2 Options Valuation under Stochastic Interest Model<a class="anchor-link" href="#5.1.2-Options-Valuation-under-Stochastic-Interest-Model">&#182;</a></h3><p>Now we will start pricing our options under stochastic Interest Model. We will keep on using Euler Method to simluate the stock price with the influence of changeable interest rate.</p>
<p>For convenience, the updated rule for stock price is defined below again:
$$ \delta S = r_{t}S\delta t + \sigma S \sqrt{\delta t}\phi \ \ \ \ \ \ (6)Pricing Path $$</p>
<p>and the updated rule for interest rate is defined as:
$$dr_{t} = a*(b - r_{t})dt + \sigma*dW_{t}\ \ \ \ \ \ (17)$$</p>
<p>$a$ is the rate at which the process $mean$ $reverts$, and $b$ is the $long\ run\ average\ interest\ rate$ and $\sigma$ can be viewed as the annual $volatility$ of the process.</p>
<p>Assume $a = 0.8$, $b = 0.05$, $\sigma = 0.03$</p>
<p>Now let me start price simulation</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[219]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">###Import Packages</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">pandas</span> <span class="k">as</span> <span class="nn">pd</span>
<span class="c1">###First define a new class</span>
<span class="k">class</span> <span class="nc">monte_carlo_sr</span><span class="p">:</span> <span class="c1">##This class is created for stock price monte carlo simulation with the non-constant interest model</span>
    
    <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">initial_price</span><span class="p">,</span><span class="n">annual_vol</span><span class="p">,</span><span class="n">risk_free_rate</span><span class="p">):</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">initial_price</span> <span class="o">=</span> <span class="n">initial_price</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">annual_vol</span> <span class="o">=</span> <span class="n">annual_vol</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">risk_free_rate</span> <span class="o">=</span> <span class="n">risk_free_rate</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">simulation_df</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">()</span>
        
     <span class="c1">#this function is used to generate new Ornstein-Uhlenbeck Model based risk free rate</span>
    <span class="c1"># rf:risk free rate, a:reversion rate, b: long-run mean, sigma: volatility of interest rate</span>
    <span class="k">def</span> <span class="nf">oruhModel</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">rf</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">,</span><span class="n">sigma</span><span class="p">):</span> 
        <span class="k">return</span> <span class="n">rf</span> <span class="o">+</span> <span class="n">a</span><span class="o">*</span><span class="p">(</span><span class="n">b</span><span class="o">-</span><span class="n">rf</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">normal</span><span class="p">(</span><span class="n">loc</span> <span class="o">=</span> <span class="mf">0.0</span><span class="p">,</span> <span class="n">scale</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="bp">self</span><span class="o">.</span><span class="n">delta_t</span><span class="p">))</span>
    
    <span class="k">def</span> <span class="nf">monte_carlo_sim</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">sims_num</span><span class="p">,</span><span class="n">days_num</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">,</span><span class="n">sigma</span><span class="p">):</span>
        <span class="n">annual_vol</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">annual_vol</span>
        <span class="n">initial_price</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">initial_price</span>
        <span class="n">risk_free_rate</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">risk_free_rate</span>
        <span class="n">daily_rf</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">risk_free_rate</span><span class="o">/</span><span class="n">days_num</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">delta_t</span> <span class="o">=</span> <span class="mf">1.0</span><span class="o">/</span><span class="n">days_num</span>
    
        <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">sims_num</span><span class="p">):</span>
            <span class="n">count</span> <span class="o">=</span> <span class="mi">0</span>
        
            <span class="n">price_series</span><span class="o">=</span><span class="p">[]</span>
            <span class="n">price_series</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">initial_price</span><span class="p">)</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="n">days_num</span><span class="p">):</span>
                <span class="k">if</span> <span class="n">count</span> <span class="o">==</span> <span class="n">days_num</span><span class="p">:</span>
                    <span class="k">break</span>
                <span class="n">delta_price</span> <span class="o">=</span> <span class="n">risk_free_rate</span><span class="o">*</span><span class="n">price_series</span><span class="p">[</span><span class="n">count</span><span class="p">]</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">delta_t</span> <span class="o">+</span> <span class="n">annual_vol</span><span class="o">*</span><span class="n">price_series</span><span class="p">[</span><span class="n">count</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="bp">self</span><span class="o">.</span><span class="n">delta_t</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">normal</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
                <span class="n">risk_free_rate</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">oruhModel</span><span class="p">(</span><span class="n">risk_free_rate</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">,</span><span class="n">sigma</span><span class="p">)</span> <span class="c1">###Update Risk Free Rate using oruh model</span>
                <span class="n">price</span> <span class="o">=</span> <span class="n">price_series</span><span class="p">[</span><span class="n">count</span><span class="p">]</span> <span class="o">+</span> <span class="n">delta_price</span>
                <span class="n">price_series</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">price</span><span class="p">)</span>
                <span class="n">count</span> <span class="o">+=</span><span class="mi">1</span>
                
            <span class="bp">self</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">[</span><span class="n">x</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="n">price_series</span><span class="p">)</span>
            <span class="n">x</span><span class="o">=</span><span class="n">x</span><span class="o">+</span><span class="mi">1</span>
</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;[220]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Running Time 10S - 20S</span>
<span class="c1">###Create 3 Monte Carlo Simulations, each has simulation number of 500, 1000, 2000</span>
<span class="c1">### a = 0.8, b =0.05, sigma = 0.03</span>
<span class="n">a</span> <span class="o">=</span> <span class="mf">0.8</span>
<span class="n">b</span> <span class="o">=</span> <span class="mf">0.05</span>
<span class="n">sigma</span> <span class="o">=</span> <span class="mf">0.03</span>
<span class="n">mc_500_sr</span> <span class="o">=</span> <span class="n">monte_carlo_sr</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc_500_sr</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">500</span><span class="p">,</span><span class="mi">251</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">,</span><span class="n">sigma</span><span class="p">)</span> <span class="c1"># Simulation number = 500, day number = 251</span>

<span class="n">mc_2000_sr</span> <span class="o">=</span> <span class="n">monte_carlo_sr</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc_2000_sr</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">2000</span><span class="p">,</span><span class="mi">251</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">,</span><span class="n">sigma</span><span class="p">)</span> <span class="c1"># Simulation number = 1000, day number = 251</span>

<span class="n">mc_10000_sr</span> <span class="o">=</span> <span class="n">monte_carlo_sr</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc_10000_sr</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">10000</span><span class="p">,</span><span class="mi">251</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">,</span><span class="n">sigma</span><span class="p">)</span> <span class="c1"># Simulation number = 1000, day number = 251</span>
</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;[221]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">###We slice the final price states</span>
<span class="n">final_prices_500_sr</span> <span class="o">=</span> <span class="n">mc_500_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">251</span><span class="p">]</span>
<span class="n">final_prices_2000_sr</span> <span class="o">=</span> <span class="n">mc_2000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">251</span><span class="p">]</span>
<span class="n">final_prices_10000_sr</span> <span class="o">=</span> <span class="n">mc_10000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">251</span><span class="p">]</span>
</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">
<h3 id="5.1.3-Valuation-of-Binary-Options-with-Stochastic-Interest-Rate">5.1.3 Valuation of Binary Options with Stochastic Interest Rate<a class="anchor-link" href="#5.1.3-Valuation-of-Binary-Options-with-Stochastic-Interest-Rate">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[222]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">call_price_500_sr</span> <span class="o">=</span> <span class="n">pricing_call</span><span class="p">(</span><span class="n">final_prices_500_sr</span><span class="p">)</span>
<span class="n">call_price_2000_sr</span> <span class="o">=</span> <span class="n">pricing_call</span><span class="p">(</span><span class="n">final_prices_2000_sr</span><span class="p">)</span>
<span class="n">call_price_10000_sr</span><span class="o">=</span> <span class="n">pricing_call</span><span class="p">(</span><span class="n">final_prices_10000_sr</span><span class="p">)</span>

<span class="n">put_price_500_sr</span><span class="o">=</span> <span class="n">pricing_put</span><span class="p">(</span><span class="n">final_prices_500_sr</span><span class="p">)</span>
<span class="n">put_price_2000_sr</span> <span class="o">=</span> <span class="n">pricing_put</span><span class="p">(</span><span class="n">final_prices_2000_sr</span><span class="p">)</span>
<span class="n">put_price_10000_sr</span> <span class="o">=</span> <span class="n">pricing_put</span><span class="p">(</span><span class="n">final_prices_10000_sr</span><span class="p">)</span>
</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;[223]:</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">f</span><span class="s1">&#39;The Price of Call with 500 sims is approximately </span><span class="si">{call_price_500_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Call with 2000sims is approximately </span><span class="si">{call_price_2000_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Call with 10000 sims is approximately </span><span class="si">{call_price_10000_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;-------------------------------------------------------------------------------&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Put with 500 sims is approximately </span><span class="si">{put_price_500_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Put with 2000 sims is approximately </span><span class="si">{put_price_2000_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Put with 10000 sims is approximately </span><span class="si">{put_price_10000_sr}</span><span class="s1">.&#39;</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>The Price of Call with 500 sims is approximately 10.751370649667388.
The Price of Call with 2000sims is approximately 10.525860365160476.
The Price of Call with 10000 sims is approximately 10.48740191588746.
-------------------------------------------------------------------------------
The Price of Put with 500 sims is approximately 8.273217840346891.
The Price of Put with 2000 sims is approximately 8.498728124853804.
The Price of Put with 10000 sims is approximately 8.53718657412682.
</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">
<h3 id="5.1.4-Valuation-of-Floating-Lookback-Options-with-Stochastic-Interest-Rate">5.1.4 Valuation of Floating Lookback Options with Stochastic Interest Rate<a class="anchor-link" href="#5.1.4-Valuation-of-Floating-Lookback-Options-with-Stochastic-Interest-Rate">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[224]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Pricing the floating lookback call and put with 500 simulations</span>
<span class="n">flt_lkb_call_500_sr</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_500_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">flt_lkb_put_500_sr</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_500_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the floating lookback call and put with 1000 simulations</span>
<span class="n">flt_lkb_call_2000_sr</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_2000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">flt_lkb_put_2000_sr</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_2000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the floating lookback call and put with 2000 simulations</span>
<span class="n">flt_lkb_call_10000_sr</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_10000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">flt_lkb_put_10000_sr</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_10000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
</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;[225]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Output results</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Call with 500 sims is approximately </span><span class="si">{flt_lkb_call_500_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Calll with 2000 sims is approximately </span><span class="si">{flt_lkb_call_2000_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Call with 10000 sims is approximately </span><span class="si">{flt_lkb_call_10000_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;-------------------------------------------------------------------------------------------------&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Put with 500 sims is approximately </span><span class="si">{flt_lkb_put_500_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Put with 2000 sims is approximately </span><span class="si">{flt_lkb_put_2000_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Put with 10000 sims is approximately </span><span class="si">{flt_lkb_put_10000_sr}</span><span class="s1">.&#39;</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>The Price of Floating Lookback Call with 500 sims is approximately 17.185104771122045.
The Price of Floating Lookback Calll with 2000 sims is approximately 16.411010230925417.
The Price of Floating Lookback Call with 10000 sims is approximately 16.528872211799953.
-------------------------------------------------------------------------------------------------
The Price of Floating Lookback Put with 500 sims is approximately 13.821168060208581.
The Price of Floating Lookback Put with 2000 sims is approximately 13.80756413374407.
The Price of Floating Lookback Put with 10000 sims is approximately 13.610274724538119.
</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">
<h3 id="5.1.5-Valuation-of-Fixed-Lookback-Options-with-Stochastic-Interest-Rate">5.1.5 Valuation of Fixed Lookback Options with Stochastic Interest Rate<a class="anchor-link" href="#5.1.5-Valuation-of-Fixed-Lookback-Options-with-Stochastic-Interest-Rate">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[226]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Pricing the fixed lookback call and put with 500 simulations</span>
<span class="n">fx_lkb_call_500_sr</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_500_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">fx_lkb_put_500_sr</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_500_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the fixed lookback call and put with 1000 simulations</span>
<span class="n">fx_lkb_call_2000_sr</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_2000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">fx_lkb_put_2000_sr</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_2000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the fixed lookback call and put with 2000 simulations</span>
<span class="n">fx_lkb_call_10000_sr</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_10000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">fx_lkb_put_10000_sr</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_10000_sr</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
</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;[227]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Output results</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Call with 500 sims is approximately </span><span class="si">{fx_lkb_call_500_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Calll with 2000 sims is approximately </span><span class="si">{fx_lkb_call_2000_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Call with 10000 sims is approximately </span><span class="si">{fx_lkb_call_10000_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;-------------------------------------------------------------------------------------------------&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Put with 500 sims is approximately </span><span class="si">{fx_lkb_put_500_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Put with 2000 sims is approximately </span><span class="si">{fx_lkb_put_2000_sr}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Put with 10000 sims is approximately </span><span class="si">{fx_lkb_put_10000_sr}</span><span class="s1">.&#39;</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>The Price of Fixed Lookback Call with 500 sims is approximately 19.100033744697768.
The Price of Fixed Lookback Calll with 2000 sims is approximately 18.264056327472392.
The Price of Fixed Lookback Call with 10000 sims is approximately 18.311876724113024.
-------------------------------------------------------------------------------------------------
The Price of Fixed Lookback Put with 500 sims is approximately 11.906239086632826.
The Price of Fixed Lookback Put with 2000 sims is approximately 11.954518037197099.
The Price of Fixed Lookback Put with 10000 sims is approximately 11.827270212225029.
</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="5.2-Combination-with-Stochastic-Volatility-Model">5.2 Combination with Stochastic Volatility Model<a class="anchor-link" href="#5.2-Combination-with-Stochastic-Volatility-Model">&#182;</a></h2><h3 id="5.2.1--Heston-Process-for-Volatility-Modeling">5.2.1  Heston Process for Volatility Modeling<a class="anchor-link" href="#5.2.1--Heston-Process-for-Volatility-Modeling">&#182;</a></h3><p>Heston Model is a mathematical model which properly describes the volatility of a stock. In this model, volatility is $not \ constant$ but change with time, which again influence the path of stock price paths. We can say that Heston model is an $extension$ to classical Geometric Brownian Motion. The model is defined as follows,</p>
<p>Heston Model for Stock $Price$</p>
$$dS_{t}= \mu S_{t}dt + \sqrt{v_{t}}S_{t}dW^{S}_{t} \ \ \ \ \ \ (18)$$<p>and the decription of the stochastic $volatility$ process is</p>
$$d_{v_{t}} = c(\theta -v_{t})dt + \xi \sqrt{v_{t}}dW^{v}_{t} \ \ \ \ \ \ \ (19)$$<p>where</p>
<p>$v_{t}$ is the variance at time $t$, $\theta$ is the long run variance.</p>
<p>and</p>
$$dW_{t}^{S}dW{t}^{v} = \rho d_{t}\ \ \ \ \ \ \ (20)$$<p></p>
<p>$\rho$ decribe the $correlation$ between the correlation between the GBM of stock price and the GBM of variance</p>
$$$$<p>The explicit numeric updating rule for $variance$ of stock price and the $variance$ of stock price variance is to can be described as below,</p>
<p>(1) Generate 2 normal variable $\phi_{1}$ and $\phi_{1}$ with correlation $\rho$. These 2 number can be generated using $Cholesky$ $Decomposition$ technique, which I would not like to talk about more. Here we will use very naive method to generate 2 variable with some correlation</p>
<p>(2) Update variance of price variance:
$$v_{t} = v_{t-1} + c(\theta-v_{t})\delta t + \xi*\phi_{2}*\sqrt{v_{t-1}\delta t} + \frac{1}{4}*\xi^{2}*(\rho^{2}-1)*\delta t$$</p>
<p>(3) Update stock price
$$S_{t} = S_(t-1)*(1+r*\delta t + \sqrt{v_{t}*\delta t}*\phi_{1} + \frac{1}{2}*v_{t}*{(\phi^{2}-1)}*\delta t)$$</p>
$$$$<p>For convenience, we here make $c=1.2$, $\xi = 0.5$, $\rho = -0.6$, $v_{0} = 0.04$, $\theta = 0.04$.</p>
<p>Let us start simulating</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">
<h3 id="5.2.2--Heston-Process-Simulation">5.2.2  Heston Process Simulation<a class="anchor-link" href="#5.2.2--Heston-Process-Simulation">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[250]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">###Import Packages</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">pandas</span> <span class="k">as</span> <span class="nn">pd</span>
<span class="c1">###First define a new class</span>
<span class="k">class</span> <span class="nc">monte_carlo_sv</span><span class="p">:</span> <span class="c1">##This class is created for stock price monte carlo simulation with the non-constant interest model</span>
    
    <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">initial_price</span><span class="p">,</span><span class="n">annual_vol</span><span class="p">,</span><span class="n">risk_free_rate</span><span class="p">):</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">initial_price</span> <span class="o">=</span> <span class="n">initial_price</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">annual_vol</span> <span class="o">=</span> <span class="n">annual_vol</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">risk_free_rate</span> <span class="o">=</span> <span class="n">risk_free_rate</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">simulation_df</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">()</span>
    
    <span class="c1">###If you want to run monte carlo simulation with stochastic volatility, run it first###</span>
    <span class="k">def</span> <span class="nf">set_Parameters</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">c</span><span class="p">,</span><span class="n">xi</span><span class="p">,</span><span class="n">rho</span><span class="p">,</span><span class="n">theta</span><span class="p">,</span><span class="n">var_vol</span><span class="p">):</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">c</span> <span class="o">=</span> <span class="n">c</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">xi</span> <span class="o">=</span> <span class="n">xi</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">rho</span> <span class="o">=</span><span class="n">rho</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">theta</span> <span class="o">=</span> <span class="n">theta</span>        
        <span class="bp">self</span><span class="o">.</span><span class="n">var_vol</span> <span class="o">=</span> <span class="n">var_vol</span>
        
     <span class="c1">#this function is used to generate new Ornstein-Uhlenbeck Model based risk free rate</span>
    <span class="c1"># rf:risk free rate, a:reversion rate, b: long-run mean, sigma: volatility of interest rate</span>
    <span class="k">def</span> <span class="nf">update_variance</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> 
        <span class="k">return</span> <span class="n">rf</span> <span class="o">+</span> <span class="n">a</span><span class="o">*</span><span class="p">(</span><span class="n">b</span><span class="o">-</span><span class="n">rf</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">normal</span><span class="p">(</span><span class="n">loc</span> <span class="o">=</span> <span class="mf">0.0</span><span class="p">,</span> <span class="n">scale</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="bp">self</span><span class="o">.</span><span class="n">delta_t</span><span class="p">))</span>
    
    <span class="k">def</span> <span class="nf">monte_carlo_sim</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">sims_num</span><span class="p">,</span><span class="n">days_num</span><span class="p">):</span>
        <span class="n">initial_price</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">initial_price</span>
        <span class="n">risk_free_rate</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">risk_free_rate</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">delta_t</span> <span class="o">=</span> <span class="mf">1.0</span><span class="o">/</span><span class="n">days_num</span>
        <span class="n">delta_t</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">delta_t</span>
    
        <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">sims_num</span><span class="p">):</span>
            <span class="n">count</span> <span class="o">=</span> <span class="mi">0</span>
            <span class="n">price_series</span><span class="o">=</span><span class="p">[]</span>
            <span class="n">price_series</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">initial_price</span><span class="p">)</span>
            <span class="n">annual_var</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">annual_vol</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">annual_vol</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">1</span><span class="p">,</span><span class="n">days_num</span><span class="p">):</span>
                <span class="k">if</span> <span class="n">count</span> <span class="o">==</span> <span class="n">days_num</span><span class="p">:</span>
                    <span class="k">break</span>
                <span class="c1">###Generate 2 variables with a correlation      </span>
                <span class="n">phi1</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">normal</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
                <span class="n">phi2</span> <span class="o">=</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">rho</span> <span class="o">*</span> <span class="n">phi1</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="mi">1</span><span class="o">-</span><span class="bp">self</span><span class="o">.</span><span class="n">rho</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">rho</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">normal</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">))</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">var_vol</span>
                <span class="c1">###Updated volatility and stock price</span>
                <span class="n">annual_var</span> <span class="o">=</span> <span class="n">annual_var</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">c</span><span class="o">*</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">theta</span> <span class="o">-</span> <span class="n">annual_var</span><span class="p">)</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">delta_t</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">xi</span> <span class="o">*</span> <span class="n">phi2</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="n">annual_var</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">delta_t</span><span class="p">)</span><span class="o">+</span><span class="mf">0.25</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">xi</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">xi</span><span class="o">*</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">rho</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">rho</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">delta_t</span>
                <span class="n">price</span> <span class="o">=</span> <span class="n">price_series</span><span class="p">[</span><span class="n">count</span><span class="p">]</span><span class="o">*</span><span class="p">(</span><span class="mi">1</span> <span class="o">+</span> <span class="n">risk_free_rate</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">delta_t</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="n">annual_var</span><span class="o">*</span><span class="n">delta_t</span><span class="p">)</span><span class="o">*</span><span class="n">phi1</span><span class="o">+</span><span class="mf">0.5</span><span class="o">*</span><span class="n">annual_var</span><span class="o">*</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">rho</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">rho</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">delta_t</span><span class="p">)</span>
                <span class="n">count</span><span class="o">=</span> <span class="n">count</span> <span class="o">+</span> <span class="mi">1</span>
                <span class="n">price_series</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">price</span><span class="p">)</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">[</span><span class="n">x</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="n">price_series</span><span class="p">)</span>
            <span class="n">x</span><span class="o">=</span><span class="n">x</span><span class="o">+</span><span class="mi">1</span>
</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;[251]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Starting Simulation</span>
<span class="c1">#Running Time 10S - 20S</span>
<span class="c1">###Create 3 Monte Carlo Simulations, each has simulation number of 500, 1000, 2000</span>
<span class="n">mc_500_sv</span> <span class="o">=</span> <span class="n">monte_carlo_sv</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc_500_sv</span><span class="o">.</span><span class="n">set_Parameters</span><span class="p">(</span><span class="mf">1.2</span><span class="p">,</span><span class="mf">0.5</span><span class="p">,</span><span class="o">-</span><span class="mf">0.6</span><span class="p">,</span><span class="mf">0.04</span><span class="p">,</span><span class="mf">0.01</span><span class="p">)</span>
<span class="n">mc_500_sv</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">500</span><span class="p">,</span><span class="mi">251</span><span class="p">)</span> <span class="c1"># Simulation number = 500, day number = 251</span>

<span class="n">mc_2000_sv</span> <span class="o">=</span> <span class="n">monte_carlo_sv</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc_2000_sv</span><span class="o">.</span><span class="n">set_Parameters</span><span class="p">(</span><span class="mf">1.2</span><span class="p">,</span><span class="mf">0.5</span><span class="p">,</span><span class="o">-</span><span class="mf">0.6</span><span class="p">,</span><span class="mf">0.04</span><span class="p">,</span><span class="mf">0.01</span><span class="p">)</span>
<span class="n">mc_2000_sv</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">2000</span><span class="p">,</span><span class="mi">251</span><span class="p">)</span> <span class="c1"># Simulation number = 1000, day number = 251</span>

<span class="n">mc_10000_sv</span> <span class="o">=</span> <span class="n">monte_carlo_sv</span><span class="p">(</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.2</span><span class="p">,</span><span class="mf">0.05</span><span class="p">)</span> <span class="c1">#Initial Price = 100, annual volatility = 0.2, annual risk free rate = 0.05 </span>
<span class="n">mc_10000_sv</span><span class="o">.</span><span class="n">set_Parameters</span><span class="p">(</span><span class="mf">1.2</span><span class="p">,</span><span class="mf">0.5</span><span class="p">,</span><span class="o">-</span><span class="mf">0.6</span><span class="p">,</span><span class="mf">0.04</span><span class="p">,</span><span class="mf">0.01</span><span class="p">)</span>
<span class="n">mc_10000_sv</span><span class="o">.</span><span class="n">monte_carlo_sim</span><span class="p">(</span><span class="mi">10000</span><span class="p">,</span><span class="mi">251</span><span class="p">)</span> <span class="c1"># Simulation number = 1000, day number = 251</span>
</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">
<h3 id="5.2.3-Valuation-of-Binary-Options-with-Stochastic-Volatility-Process">5.2.3 Valuation of Binary Options with Stochastic Volatility Process<a class="anchor-link" href="#5.2.3-Valuation-of-Binary-Options-with-Stochastic-Volatility-Process">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[252]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">###We slice the final price states</span>
<span class="n">final_prices_500_sv</span> <span class="o">=</span> <span class="n">mc_500_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">250</span><span class="p">]</span>
<span class="n">final_prices_2000_sv</span> <span class="o">=</span> <span class="n">mc_2000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">250</span><span class="p">]</span>
<span class="n">final_prices_10000_sv</span> <span class="o">=</span> <span class="n">mc_10000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">250</span><span class="p">]</span>
</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;[253]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">### 4.1.3 Valuation of Binary Options with Stochastic Interest Rate</span>
<span class="n">call_price_500_sv</span> <span class="o">=</span> <span class="n">pricing_call</span><span class="p">(</span><span class="n">final_prices_500_sv</span><span class="p">)</span>
<span class="n">call_price_2000_sv</span> <span class="o">=</span> <span class="n">pricing_call</span><span class="p">(</span><span class="n">final_prices_2000_sv</span><span class="p">)</span>
<span class="n">call_price_10000_sv</span><span class="o">=</span> <span class="n">pricing_call</span><span class="p">(</span><span class="n">final_prices_10000_sv</span><span class="p">)</span>

<span class="n">put_price_500_sv</span><span class="o">=</span> <span class="n">pricing_put</span><span class="p">(</span><span class="n">final_prices_500_sv</span><span class="p">)</span>
<span class="n">put_price_2000_sv</span> <span class="o">=</span> <span class="n">pricing_put</span><span class="p">(</span><span class="n">final_prices_2000_sv</span><span class="p">)</span>
<span class="n">put_price_10000_sv</span> <span class="o">=</span> <span class="n">pricing_put</span><span class="p">(</span><span class="n">final_prices_10000_sv</span><span class="p">)</span>
</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;[254]:</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">f</span><span class="s1">&#39;The Price of Call with 500 sims is approximately </span><span class="si">{call_price_500_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Call with 2000sims is approximately </span><span class="si">{call_price_2000_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Call with 10000 sims is approximately </span><span class="si">{call_price_10000_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;-------------------------------------------------------------------------------&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Put with 500 sims is approximately </span><span class="si">{put_price_500_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Put with 2000 sims is approximately </span><span class="si">{put_price_2000_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Put with 10000 sims is approximately </span><span class="si">{put_price_10000_sv}</span><span class="s1">.&#39;</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>The Price of Call with 500 sims is approximately 11.09449950018869.
The Price of Call with 2000sims is approximately 10.849440159387834.
The Price of Call with 10000 sims is approximately 10.639613845000484.
-------------------------------------------------------------------------------
The Price of Put with 500 sims is approximately 7.930088989825591.
The Price of Put with 2000 sims is approximately 8.175148330626445.
The Price of Put with 10000 sims is approximately 8.384974645013795.
</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">
<h3 id="5.2.4-Valuation-of-Fixed-Lookback-options-with-Stochastic-Volatility-Process">5.2.4 Valuation of Fixed Lookback options with Stochastic Volatility Process<a class="anchor-link" href="#5.2.4-Valuation-of-Fixed-Lookback-options-with-Stochastic-Volatility-Process">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[261]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Pricing the fixed lookback call and put with 500 simulations</span>
<span class="n">fx_lkb_call_500_sv</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_500_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">fx_lkb_put_500_sv</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_500_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the fixed lookback call and put with 1000 simulations</span>
<span class="n">fx_lkb_call_2000_sv</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_2000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">fx_lkb_put_2000_sv</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_2000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the fixed lookback call and put with 2000 simulations</span>
<span class="n">fx_lkb_call_10000_sv</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_10000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">fx_lkb_put_10000_sv</span> <span class="o">=</span> <span class="n">pricing_FixedLookback_discrete</span><span class="p">(</span><span class="n">mc_10000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mi">100</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
</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;[262]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Output results</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Call with 500 sims is approximately </span><span class="si">{fx_lkb_call_500_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Calll with 2000 sims is approximately </span><span class="si">{fx_lkb_call_2000_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Call with 10000 sims is approximately </span><span class="si">{fx_lkb_call_10000_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;-------------------------------------------------------------------------------------------------&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Put with 500 sims is approximately </span><span class="si">{fx_lkb_put_500_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Put with 2000 sims is approximately </span><span class="si">{fx_lkb_put_2000_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Fixed Lookback Put with 10000 sims is approximately </span><span class="si">{fx_lkb_put_10000_sv}</span><span class="s1">.&#39;</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>The Price of Fixed Lookback Call with 500 sims is approximately 14.88184847233086.
The Price of Fixed Lookback Calll with 2000 sims is approximately 14.466234310224285.
The Price of Fixed Lookback Call with 10000 sims is approximately 14.120683237172909.
-------------------------------------------------------------------------------------------------
The Price of Fixed Lookback Put with 500 sims is approximately 9.080222016406854.
The Price of Fixed Lookback Put with 2000 sims is approximately 9.66905522039875.
The Price of Fixed Lookback Put with 10000 sims is approximately 9.803876890670477.
</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">
<h3 id="5.2.5--Valuation-of-Floating-Lookback-options-with-Stochastic-Volatility-Process">5.2.5  Valuation of Floating Lookback options with Stochastic Volatility Process<a class="anchor-link" href="#5.2.5--Valuation-of-Floating-Lookback-options-with-Stochastic-Volatility-Process">&#182;</a></h3>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[263]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Pricing the floating lookback call and put with 500 simulations</span>
<span class="n">flt_lkb_call_500_sv</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_500_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">flt_lkb_put_500_sv</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_500_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the floating lookback call and put with 1000 simulations</span>
<span class="n">flt_lkb_call_2000_sv</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_2000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">flt_lkb_put_2000_sv</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_2000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="c1">#Pricing the floating lookback call and put with 2000 simulations</span>
<span class="n">flt_lkb_call_10000_sv</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_10000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">True</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">flt_lkb_put_10000_sv</span> <span class="o">=</span> <span class="n">pricing_FloatingLookback_discrete</span><span class="p">(</span><span class="n">mc_10000_sv</span><span class="o">.</span><span class="n">simulation_df</span><span class="p">,</span><span class="kc">False</span><span class="p">,</span><span class="mf">0.05</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
</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;[264]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#Output results</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Call with 500 sims is approximately </span><span class="si">{flt_lkb_call_500_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Calll with 2000 sims is approximately </span><span class="si">{flt_lkb_call_2000_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Call with 10000 sims is approximately </span><span class="si">{flt_lkb_call_10000_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;-------------------------------------------------------------------------------------------------&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Put with 500 sims is approximately </span><span class="si">{flt_lkb_put_500_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Put with 2000 sims is approximately </span><span class="si">{flt_lkb_put_2000_sv}</span><span class="s1">.&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;The Price of Floating Lookback Put with 10000 sims is approximately </span><span class="si">{flt_lkb_put_10000_sv}</span><span class="s1">.&#39;</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>The Price of Floating Lookback Call with 500 sims is approximately 14.427635228890825.
The Price of Floating Lookback Calll with 2000 sims is approximately 13.63281036998996.
The Price of Floating Lookback Call with 10000 sims is approximately 13.522842394754285.
-------------------------------------------------------------------------------------------------
The Price of Floating Lookback Put with 500 sims is approximately 9.534435259846894.
The Price of Floating Lookback Put with 2000 sims is approximately 10.502479160633094.
The Price of Floating Lookback Put with 10000 sims is approximately 10.40171773308901.
</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">
<h1 id="6.Conclusion-and-Reference">6.Conclusion and Reference<a class="anchor-link" href="#6.Conclusion-and-Reference">&#182;</a></h1>
</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="6.1-Conclusion">6.1 Conclusion<a class="anchor-link" href="#6.1-Conclusion">&#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>In this report, the Euler-Maruyama is majorly used as a numeric method to simulate the price paths, based on which we can successfully pricing the price of European Binary Options and European Look Back Options. Then we compare our numeric prices to BS Model generated prices and we find the pricing accuracy improveds with the increase on the number of scenarios. Then, the report talked about stochastic process of interest rate and volatility, by respectively using Ornstein-Uhlenbeck and Heston method, and we find that if here exist some strong long-run drift of interest rate or volatility, the pricing result will be largely influenced, but if the mean-reverting value is still the intial constant value, the pricing result will not change too much.</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="6.2-Reference">6.2 Reference<a class="anchor-link" href="#6.2-Reference">&#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>Kloeden, P.E. &amp; Platen, E. (1992). Numerical Solution of Stochastic Differential Equations. Springer, Berlin. ISBN 3-540-54062-8.</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>Karatzas, Ioannis; Shreve, Steven (1991), Brownian Motion and Stochastic Calculus (2nd ed.), Springer, ISBN 0-387-97655-8</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>Heston, Steven L. (1993). "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options". The Review of Financial Studies. 6 (2): 327–343. doi:10.1093/rfs/6.2.327. JSTOR 2962057.</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>Wilmott, P. (2006), Paul Wilmott on quantitative finance (2nd ed.), p. 861</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>Musiela, Mark; Rutkowski, Marek (November 25, 2004). Martingale Methods in Financial Modelling. Springer. ISBN 978-3-540-20966-9.</p>

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

 
</html>