recombination.html

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


<title>recombination</title>

<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,
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fieldset[disabled] .notification_widget.success:hover,
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fieldset[disabled] .notification_widget.success:focus,
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.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
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  border-color: #4cae4c;
}
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  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 {
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}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
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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;
}
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  color: #fff;
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.notification_widget.danger:active,
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  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,
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.open > .dropdown-toggle.notification_widget.danger:focus,
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fieldset[disabled] .notification_widget.danger:hover,
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fieldset[disabled] .notification_widget.danger:focus,
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fieldset[disabled] .notification_widget.danger.focus {
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  border-color: #d43f3a;
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.notification_widget.danger .badge {
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  background-color: #fff;
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div#pager {
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  line-height: 20px;
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  width: 100%;
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  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);
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}
div#pager pre {
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  color: #000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
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  right: 20px;
}
div#pager #pager-contents {
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  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
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  padding: 15px 0px;
  box-sizing: border-box;
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  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
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  height: 8px;
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  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
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}
div#pager .ui-resizable-handle::after {
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  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
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  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
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  -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;
}
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  width: 21ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
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  /* 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 {
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  line-height: 1em;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  text-overflow: ellipsis;
  overflow: hidden;
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  border-radius: 2px;
}
span.save_widget span.filename:hover {
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}
[dir="rtl"] span.save_widget.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] span.save_widget span.filename {
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  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;
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  span.checkpoint_status,
  span.autosave_status {
    display: none;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
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    display: none;
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  span.autosave_status {
    font-size: x-small;
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}
.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 {
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  margin-bottom: 0px;
  display: inline;
  font-size: 92%;
  margin-left: 0.3em;
  margin-right: 0.3em;
  padding: 0px;
  padding-top: 3px;
}
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}
.toolbar .btn-group {
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  margin-left: 5px;
}
.toolbar-btn-label {
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}
#maintoolbar {
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  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 {
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  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 {
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    opacity: 1;
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  to {
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}
@-webkit-keyframes fadeOut {
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}
@-moz-keyframes fadeIn {
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}
@-webkit-keyframes fadeIn {
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}
/*properties of tooltip after "expand"*/
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  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 {
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}
.ipython_tooltip .tooltiptext pre {
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  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 {
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  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 {
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ul.typeahead-list > li > a {
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ul.typeahead-list  > li > a.pull-right {
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[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 {
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  float: left;
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#find-and-replace #replace-preview .match,
#find-and-replace #replace-preview .insert {
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  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 {
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  border-color: #EF9A9A;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .insert {
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  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;
}
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<div class="cell border-box-sizing text_cell rendered"><div class="inner_cell">
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<p><a href="https://shivchitinous.github.io/recombinator/"><em>Home</em></a> | <a href="https://github.com/shivChitinous/recombinator"><em>GitHub</em></a></p>
<h1 id="A-Simple-Model-of-Recombination">A Simple Model of Recombination<a class="anchor-link" href="#A-Simple-Model-of-Recombination">&#182;</a></h1>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</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">scipy</span> <span class="k">as</span> <span class="nn">sp</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">seaborn</span> <span class="k">as</span> <span class="nn">sns</span><span class="p">;</span> <span class="n">sns</span><span class="o">.</span><span class="n">set_style</span><span class="p">(</span><span class="s1">&#39;white&#39;</span><span class="p">)</span>
<span class="kn">import</span> <span class="nn">itertools</span>
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<p>This model attempts to simulate crossing over between two genes on a chromosome to see how the recombination frequency depends on the number of loci between them as well as recombination hotspots.</p>
<p>Let the number of loci between the two genes be $N$ and the probability vector $p = [p_1, p_2...p_N]$ where $p_i$ is the probability that locus $i$ eperiences a crossover event.</p>

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<h2 id="Equal-probability-of-crossing-over-at-all-loci">Equal probability of crossing over at all loci<a class="anchor-link" href="#Equal-probability-of-crossing-over-at-all-loci">&#182;</a></h2>
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<p>In this section we assume that the vector $p$ is a constant vector i.e. the probability of crossing over at any given locus is a constant $\rho$.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">N</span> <span class="o">=</span> <span class="mi">10</span>
<span class="n">p</span> <span class="o">=</span> <span class="mf">0.1</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">N</span><span class="p">)</span> <span class="c1">#1 in every 10 meioses is a crossover event at any given locus</span>
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<h3 id="Crossovers">Crossovers<a class="anchor-link" href="#Crossovers">&#182;</a></h3>
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<p>Let's define a 2D array <code>crossings</code> that represents crossover events on <em>one</em> of the homologous chromosomes in the region between genes $\text{A}$ and $\text{B}$.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">crossings</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="mi">2</span><span class="p">,</span><span class="n">N</span><span class="p">])</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="n">figsize</span> <span class="o">=</span> <span class="p">(</span><span class="mi">5</span><span class="p">,</span><span class="mi">1</span><span class="p">))</span>
<span class="n">sns</span><span class="o">.</span><span class="n">heatmap</span><span class="p">(</span><span class="n">crossings</span><span class="p">,</span><span class="n">linewidth</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span><span class="n">cmap</span><span class="o">=</span><span class="s1">&#39;Blues&#39;</span><span class="p">,</span><span class="n">vmin</span><span class="o">=-</span><span class="mi">1</span><span class="p">,</span><span class="n">vmax</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span><span class="n">square</span><span class="o">=</span><span class="kc">True</span><span class="p">);</span>
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<p>Each position on the array represents a locus on one of the chromosomes - <code>row 0</code> represents the outer chromatid and <code>row 1</code> represents the inner chromatid. During meiosis, any of these loci can undergo crossing over. If a locus undergoes crossing over, the element representing that locus takes a value of <code>1</code>. If it doesn't undergo crossing over, the element representing that locus remains <code>0</code>.</p>
<p><em>Note:</em> Here, <strong>we assume</strong> that a <strong>single chromatid can form chiasmata with only one of its non-sister chromatids</strong>. We relax this assumption in the next section.</p>

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<h3 id="Chromosomes">Chromosomes<a class="anchor-link" href="#Chromosomes">&#182;</a></h3><p>We can convert this representation to visualize the genes $\text{A}$ and $\text{B}$ on homologous chromosomes:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="k">def</span> <span class="nf">chromosomes</span><span class="p">(</span><span class="n">crossings</span><span class="p">,</span><span class="n">plot</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
    <span class="n">X0</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">]);</span> <span class="n">X1</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="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">])</span>
    <span class="n">X0</span><span class="p">[:,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">crossings</span><span class="o">&gt;</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="n">X0</span><span class="p">[:,</span><span class="mi">1</span><span class="p">])</span><span class="o">%</span><span class="k">2</span>; X0[:,0] = (np.sum(crossings&lt;0,1)+X0[:,0])%2
    <span class="n">X1</span><span class="p">[:,</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">crossings</span><span class="o">&gt;</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="n">X1</span><span class="p">[:,</span><span class="mi">1</span><span class="p">])</span><span class="o">%</span><span class="k">2</span>; X1[:,0] = (np.flip(np.sum(crossings&lt;0,1))+X1[:,0])%2
    <span class="k">if</span> <span class="n">plot</span> <span class="ow">is</span> <span class="kc">True</span><span class="p">:</span>
        <span class="n">fig</span><span class="p">,</span><span class="n">ax</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mf">1.8</span><span class="p">,</span><span class="mi">4</span><span class="p">))</span>
        <span class="n">sns</span><span class="o">.</span><span class="n">heatmap</span><span class="p">(</span><span class="n">X0</span><span class="p">,</span><span class="n">linewidth</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span><span class="n">cmap</span><span class="o">=</span><span class="s1">&#39;Set3&#39;</span><span class="p">,</span><span class="n">vmin</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span><span class="n">vmax</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span><span class="n">cbar</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span><span class="n">ax</span><span class="o">=</span> <span class="n">ax</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">square</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span><span class="n">yticklabels</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
        <span class="n">sns</span><span class="o">.</span><span class="n">heatmap</span><span class="p">(</span><span class="n">X1</span><span class="p">,</span><span class="n">linewidth</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span><span class="n">cmap</span><span class="o">=</span><span class="s1">&#39;Set3&#39;</span><span class="p">,</span><span class="n">vmin</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span><span class="n">vmax</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span><span class="n">cbar</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span><span class="n">ax</span><span class="o">=</span> <span class="n">ax</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">square</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span><span class="n">yticklabels</span><span class="o">=</span><span class="kc">False</span><span class="p">);</span>
    <span class="k">return</span> <span class="n">X0</span><span class="p">,</span><span class="n">X1</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">chromosomes</span><span class="p">(</span><span class="n">crossings</span><span class="p">,</span><span class="n">plot</span><span class="o">=</span><span class="kc">True</span><span class="p">);</span>
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<p>This represents the two parental chromosomes:
 $AABB$ and $aabb$.
Yellow represents dominant and green represents recessive, while <code>row 0</code> represents gene $\text{A}$ and <code>row 1</code> represents gene $\text{B}$.</p>
<p><em>Note:</em> Since the <code>crossings</code> array had all elements set to <code>0</code> we get the parental chromosomes in this case.</p>

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<h3 id="Meiosis">Meiosis<a class="anchor-link" href="#Meiosis">&#182;</a></h3><p>Let's simulate a single meiosis event and look at the chromatids we end up with -</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="k">def</span> <span class="nf">meiosis</span><span class="p">(</span><span class="n">N</span><span class="p">,</span><span class="n">p</span><span class="p">,</span><span class="n">state</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span><span class="n">sig</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">]):</span>
    <span class="n">crossings</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="mi">2</span><span class="p">,</span><span class="n">N</span><span class="p">])</span> <span class="c1">#set crossovers to be 0</span>

    <span class="c1">#generating 2N random numbers</span>
    <span class="n">rn</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">RandomState</span><span class="p">(</span><span class="n">state</span><span class="p">)</span>
    <span class="n">rnd_vec</span> <span class="o">=</span> <span class="n">rn</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">N</span><span class="p">)</span>

    <span class="c1">#selecting one of the sister chromatids</span>
    <span class="n">si</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">RandomState</span><span class="p">(</span><span class="n">sig</span><span class="p">)</span>
    <span class="n">sign</span> <span class="o">=</span> <span class="n">si</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">rnd_vec</span><span class="p">[:</span><span class="n">N</span><span class="p">]</span><span class="o">&lt;</span><span class="n">p</span><span class="p">)</span><span class="o">+</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">rnd_vec</span><span class="p">[</span><span class="n">N</span><span class="p">:]</span><span class="o">&lt;</span><span class="n">p</span><span class="p">))</span>
    <span class="n">sign0</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">where</span><span class="p">(</span><span class="n">sign</span><span class="p">[:</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">rnd_vec</span><span class="p">[:</span><span class="n">N</span><span class="p">]</span><span class="o">&lt;</span><span class="n">p</span><span class="p">)]</span><span class="o">&lt;</span><span class="n">alpha</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="mi">1</span><span class="p">)</span>
    <span class="n">sign1</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">where</span><span class="p">(</span><span class="n">sign</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">rnd_vec</span><span class="p">[:</span><span class="n">N</span><span class="p">]</span><span class="o">&lt;</span><span class="n">p</span><span class="p">):]</span><span class="o">&lt;</span><span class="mi">1</span><span class="o">-</span><span class="n">alpha</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="mi">1</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span>

    <span class="c1">#assign non-sister chromatids</span>
    <span class="n">crossings</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="n">rnd_vec</span><span class="p">[:</span><span class="n">N</span><span class="p">]</span><span class="o">&lt;</span><span class="n">p</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span><span class="o">*</span><span class="n">sign0</span>
    <span class="n">crossings</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="n">rnd_vec</span><span class="p">[</span><span class="n">N</span><span class="p">:]</span><span class="o">&lt;</span><span class="n">p</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span><span class="o">*</span><span class="n">sign1</span>

    <span class="c1">##Interaction step </span>
    <span class="n">crossings</span><span class="p">[</span><span class="mi">1</span><span class="p">,:]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">where</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">product</span><span class="p">(</span><span class="n">crossings</span><span class="p">,</span><span class="mi">0</span><span class="p">)</span><span class="o">&lt;</span><span class="mi">0</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="o">*</span><span class="n">crossings</span><span class="p">[</span><span class="mi">1</span><span class="p">,:],</span><span class="n">crossings</span><span class="p">[</span><span class="mi">1</span><span class="p">,:])</span>
    <span class="c1">#a single chromatid cannot have 2 chiasmata at the same locus</span>
    <span class="c1">#(applicable when both non-sister chromatids can be crossed over with) </span>
    <span class="k">return</span> <span class="n">crossings</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">crossings</span> <span class="o">=</span> <span class="n">meiosis</span><span class="p">(</span><span class="n">N</span><span class="p">,</span><span class="n">p</span><span class="p">,</span><span class="n">state</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="p">[</span><span class="mf">0.5</span><span class="p">,</span><span class="mf">0.5</span><span class="p">])</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="n">figsize</span> <span class="o">=</span> <span class="p">(</span><span class="mi">5</span><span class="p">,</span><span class="mi">1</span><span class="p">))</span>
<span class="n">sns</span><span class="o">.</span><span class="n">heatmap</span><span class="p">(</span><span class="n">crossings</span><span class="p">,</span><span class="n">linewidth</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span><span class="n">cmap</span><span class="o">=</span><span class="s1">&#39;Blues&#39;</span><span class="p">,</span><span class="n">vmin</span><span class="o">=-</span><span class="mi">1</span><span class="p">,</span><span class="n">vmax</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span><span class="n">square</span><span class="o">=</span><span class="kc">True</span><span class="p">);</span>
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<p>Therefore, <code>locus 0</code> underwent a crossover on the second pair of chromatids. In this scenario, we will end up with $AABb$ and $aabB$ as shown below.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">chromosomes</span><span class="p">(</span><span class="n">crossings</span><span class="p">,</span><span class="n">plot</span><span class="o">=</span><span class="kc">True</span><span class="p">);</span>
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<p>To count the percentage of recombinants, we can simply check how many chromatids are non-parental type over multiple rounds of meisosis.</p>
<p>As an example, you can see in the case above that there are 2 recombinant chromatids $Ab$ and $aB$. Similarly, we can count the numbers after every simulated meiosis event.</p>

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<h3 id="Multiple-rounds-of-meiosis">Multiple rounds of meiosis<a class="anchor-link" href="#Multiple-rounds-of-meiosis">&#182;</a></h3>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">mei</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="mf">1e4</span><span class="p">)</span> <span class="c1">#number of rounds of meiosis</span>
<span class="c1">#as mei -&gt; inf, the more accurate our esimate of rf</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="k">def</span> <span class="nf">test_cross</span><span class="p">(</span><span class="n">mei</span><span class="p">,</span><span class="n">N</span><span class="p">,</span><span class="n">p</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">]):</span>
    <span class="n">recomb</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">mei</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">mei</span><span class="p">):</span>
        <span class="n">crossings</span> <span class="o">=</span> <span class="n">meiosis</span><span class="p">(</span><span class="n">N</span><span class="p">,</span><span class="n">p</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="n">alpha</span><span class="p">)</span>
        <span class="n">X0</span><span class="p">,</span><span class="n">X1</span> <span class="o">=</span> <span class="n">chromosomes</span><span class="p">(</span><span class="n">crossings</span><span class="p">)</span>
        <span class="n">recomb</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">X0</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span><span class="o">==</span><span class="mi">1</span><span class="p">)</span><span class="o">+</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">X1</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span><span class="o">==</span><span class="mi">1</span><span class="p">)</span>
    <span class="n">rf</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">recomb</span><span class="p">)</span><span class="o">/</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">size</span><span class="p">(</span><span class="n">recomb</span><span class="p">)</span><span class="o">*</span><span class="mi">4</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">rf</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">rf</span> <span class="o">=</span> <span class="n">test_cross</span><span class="p">(</span><span class="n">mei</span><span class="p">,</span><span class="n">N</span><span class="p">,</span><span class="n">p</span><span class="p">);</span> <span class="n">rf</span>
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<pre>0.44615</pre>
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<p>We can see that our model allows us to calculate the recombination frequency $(\theta)$ for a gap of $N$ loci between 2 genes on the same chromosome.</p>

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<h3 id="How-does-$\theta$-vary-with-$N$?">How does $\theta$ vary with $N$?<a class="anchor-link" href="#How-does-$\theta$-vary-with-$N$?">&#182;</a></h3>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">N_v</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="mi">1</span><span class="p">,</span><span class="mi">80</span><span class="p">,</span><span class="mi">1</span><span class="p">);</span> <span class="n">p0</span> <span class="o">=</span> <span class="mf">0.1</span><span class="p">;</span> <span class="n">mei</span> <span class="o">=</span> <span class="mi">500</span>
<span class="n">rf_v</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">np</span><span class="o">.</span><span class="n">shape</span><span class="p">(</span><span class="n">N_v</span><span class="p">))</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">n</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">N_v</span><span class="p">):</span>
    <span class="n">p_i</span> <span class="o">=</span> <span class="n">p0</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
    <span class="n">rf_v</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">test_cross</span><span class="p">(</span><span class="n">mei</span><span class="p">,</span><span class="n">n</span><span class="p">,</span><span class="n">p_i</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">N_v</span><span class="p">,</span><span class="n">rf_v</span><span class="p">);</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;$N$&quot;</span><span class="p">);</span> <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="sa">r</span><span class="s2">&quot;$\theta$&quot;</span><span class="p">);</span>
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<p>The fact that recombination frequency has a bound of $0.5$ bears out! This indicates that only within a certain linear range can we use the recombination frequency to estimate the distance between two genes on a chromosome.</p>

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<h3 id="How-does-$\theta$-vary-with-the-probability-of-crossing-over-$\rho$?">How does $\theta$ vary with the probability of crossing over $\rho$?<a class="anchor-link" href="#How-does-$\theta$-vary-with-the-probability-of-crossing-over-$\rho$?">&#182;</a></h3>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">N0</span> <span class="o">=</span> <span class="mi">10</span><span class="p">;</span>  <span class="n">mei</span> <span class="o">=</span> <span class="mi">500</span><span class="p">;</span> <span class="n">p0_v</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="mf">0.01</span><span class="p">,</span><span class="mf">0.6</span><span class="p">,</span><span class="mf">0.01</span><span class="p">)</span>
<span class="n">rf_v</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">np</span><span class="o">.</span><span class="n">shape</span><span class="p">(</span><span class="n">p0_v</span><span class="p">))</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">p0</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">p0_v</span><span class="p">):</span>
    <span class="n">p_i</span> <span class="o">=</span> <span class="n">p0</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">N0</span><span class="p">)</span>
    <span class="n">rf_v</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">test_cross</span><span class="p">(</span><span class="n">mei</span><span class="p">,</span><span class="n">N0</span><span class="p">,</span><span class="n">p_i</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">p0_v</span><span class="p">,</span><span class="n">rf_v</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="sa">r</span><span class="s2">&quot;$\rho$&quot;</span><span class="p">);</span> <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="sa">r</span><span class="s2">&quot;$\theta$&quot;</span><span class="p">);</span>
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<p>As the probability $\rho$ of crossing over at any given locus increases, the recombination frequency also goes up. Again, we see that it has an upper bound of $0.5$.</p>

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<h3 id="How-does-$-\theta-$-vary-over-both-$-\rho$-and-$N$?">How does $ \theta $ vary over both $ \rho$ and $N$?<a class="anchor-link" href="#How-does-$-\theta-$-vary-over-both-$-\rho$-and-$N$?">&#182;</a></h3>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">N_v</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="mi">1</span><span class="p">,</span><span class="mi">40</span><span class="p">,</span><span class="mi">3</span><span class="p">);</span>
<span class="n">p0_v</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="mf">0.01</span><span class="p">,</span><span class="mf">0.4</span><span class="p">,</span><span class="mf">0.03</span><span class="p">);</span> <span class="n">mei</span> <span class="o">=</span> <span class="mi">150</span><span class="p">;</span>
<span class="n">rf_v</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">np</span><span class="o">.</span><span class="n">size</span><span class="p">(</span><span class="n">N_v</span><span class="p">),</span><span class="n">np</span><span class="o">.</span><span class="n">size</span><span class="p">(</span><span class="n">p0_v</span><span class="p">)])</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">n</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">N_v</span><span class="p">):</span>
    <span class="k">for</span> <span class="n">j</span><span class="p">,</span><span class="n">p0</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">p0_v</span><span class="p">):</span>
        <span class="n">p_i</span> <span class="o">=</span> <span class="n">p0</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
        <span class="n">rf_v</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="n">test_cross</span><span class="p">(</span><span class="n">mei</span><span class="p">,</span><span class="n">n</span><span class="p">,</span><span class="n">p_i</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">])</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span> <span class="p">(</span><span class="mi">4</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span>
<span class="n">sns</span><span class="o">.</span><span class="n">heatmap</span><span class="p">(</span><span class="n">rf_v</span><span class="p">,</span><span class="n">square</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span><span class="n">yticklabels</span><span class="o">=</span><span class="n">N_v</span><span class="p">,</span><span class="n">xticklabels</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">round</span><span class="p">(</span><span class="n">p0_v</span><span class="p">,</span><span class="n">decimals</span><span class="o">=</span><span class="mi">2</span><span class="p">));</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">np</span><span class="o">.</span><span class="n">size</span><span class="p">(</span><span class="n">N_v</span><span class="p">));</span>
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>
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<p>You can see here that for low $\rho$ and $N$ values, $\theta$ goes up and then saturates around $0.5$.</p>

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<h2 id="Does-this-fit-the-theory?">Does this fit the theory?<a class="anchor-link" href="#Does-this-fit-the-theory?">&#182;</a></h2><p>We expect the simulation to follow a Poisson model. This gives us a way to theoretically predict the relationship between $N\rho$ and $\theta$. The predicted relationship looks as follows:</p>
$$\theta = \dfrac{1-e^{-2N\rho}}{2}$$<p>Does the simulation follow the expected relationship between $N\rho$ and $\theta$?</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">()</span>
<span class="n">x</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="mi">0</span><span class="p">,</span><span class="mi">15</span><span class="p">,</span><span class="mf">0.1</span><span class="p">)</span>
<span class="n">y</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</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="mi">2</span><span class="o">*</span><span class="n">x</span><span class="p">))</span><span class="o">/</span><span class="mi">2</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">y</span><span class="p">,</span><span class="s1">&#39;k-&#39;</span><span class="p">)</span>

<span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="n">itertools</span><span class="o">.</span><span class="n">product</span><span class="p">(</span><span class="n">N_v</span><span class="p">,</span><span class="n">p0_v</span><span class="p">):</span>
    <span class="n">x</span> <span class="o">=</span> <span class="n">i</span><span class="o">*</span><span class="n">j</span>
    <span class="n">y</span> <span class="o">=</span> <span class="p">(</span><span class="n">rf_v</span><span class="p">[</span><span class="nb">int</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">where</span><span class="p">(</span><span class="n">N_v</span><span class="o">==</span><span class="n">i</span><span class="p">)[</span><span class="mi">0</span><span class="p">]),</span><span class="nb">int</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">where</span><span class="p">(</span><span class="n">p0_v</span><span class="o">==</span><span class="n">j</span><span class="p">)[</span><span class="mi">0</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">x</span><span class="p">,</span><span class="n">y</span><span class="p">,</span><span class="s1">&#39;o&#39;</span><span class="p">,</span><span class="n">color</span><span class="o">=</span><span class="s1">&#39;indigo&#39;</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="mf">0.5</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="sa">r</span><span class="s2">&quot;$N\rho$&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="sa">r</span><span class="s2">&quot;$\theta$&quot;</span><span class="p">);</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">([</span><span class="s2">&quot;expected&quot;</span><span class="p">,</span><span class="s2">&quot;observed&quot;</span><span class="p">],</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;lower right&#39;</span><span class="p">);</span>
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ZkcLKrhwM4aJk5PJTYphi/+U07SuFjGZGnR6YJ9BgxmPY1HHDQdSxanOmk+/vuXrPzZf4iJM5I41oazycW7v9/ORddks397TSg5XHXH8R4t7z63jSP77cTEmUgcY0Vv1GI/4qT4owouvW5qqCR18YLjn09ve0mdWOKzH3WELjYxcabQMpeNh52nXOay40Xd4/aza30FSkBhTFYiPneAipI6xk9N6XTRysxN5YKrs/nns9s4uKsGo1lPzqx0Wupc/e6/npIRT3VZfaga0GF3YzBqSRoXGxo019ttDaQTL6qVu+vYtbGS3K+PD93Z9VRHPtiju4fztCKDRaOqqhrOHfzrX//iww8/ZMWKFRQVFfHiiy/y/PPPh16/7rrr+P3vf09SUlKvtpefn09hYWG4wu2V1cs24LC7KNlYSUycEY1Gg9flp2J3XXCcgALpOckAeNp8+H0Kz+z8fpfb2f7ePjxtXtpavbTUu0BVMVkNjM6Ix2wz0lTbhqfNR8ZZyVR+2YDH6cVkNWCxGYkbFUPmOans2XyIloY23E4frhYvWp0Gvz+AKcZAwpgYzshNwBKvp9XuQm/RkHftKLa+cghXqw+/N0D9V160BhVVUXA1qehNkDhRh94GqqLgbVPQmWDc1xXafy6lf9Lgd2nQmY//fDytoHog8SwFjUlF8UDArWHUBT7MKQpfvWwCnQat/vjfBHygUWBCQbBnVLB3VfD1+i1mAh4NagA8RwygD/a80gCmpADx092YUwK463Q07zCjMaloTSqKR0PbQQPmdB8G2/F9qSoEHFpS5zpP+f2663Q49xlxHjDgd2jR2VR0puB2FD9otGBMDIS203H/rioDGp0KAQ1KAHQxwb9TvRqsE729jqGlzEDj5hg0RhWNAXwNOgDMZ/gwjwr06Xj6o/0z8Du06G0K1klezCkBGj6xEPAc/979Tg3uKgMao0rMBB+KR4Pq0YS+m66cuA0I/k50JhXrJG+X+z0dNf+2orMpx6fvIryfXbiYzWbuueceRo8e3a+/P9W1M+x3BNu3b2f27NkA5OXlUVJSEnpNURQqKipYunQp9fX1LFiwgAULFoQ7pNPWXmo0GHV4XQE0mmCVzuiMOBqPODDFGFDVYDVBW6uX3K+P73I7dZXNTMhLpWxr9bHuon60ei1el49JM8aFes2sW1lEfZUDg0WLo9mHx+6mqV6lutLPnoNf4D1qAp8OFA3qsf90GPB4PVQ37ae41E8jBwGwEM/SVW8Ry2iy+Bpe3GjREcdYjFhQUWjkIJ7azieIhXiKP3or9PhS7sRDa4d3aLAQjx4ze7d/CmjQaECvmvF/6eaAfhMXer+LioKi8Yf+Sqvq0Wp0fPDin9EcO1M1Gg0ajYYzXZfj1bSCBgyBGCxKEnpMqMBXzvdpO1IPwBnumehVEwGNJ7TdBN8E1D3QbDgYek6nmvBrPLxX/UmvvudJbd/CHIhH26hH1Ry7GKnBY6pv/Cq0nY77j/OfgVYNXrQNSgy+lmDjt6IJ0FJ0qNcxnOGeiSWQgNEZi141olfMKPixlztpqarq1/H0Vox/FGneGfg1bgJ40GFCv9NMtXEb47zTQ99JO0MgBpsylkp7LR5tKw36r0LfTa+3r5pp0O0jeeekLvfbpu9+ez3p6vcRrs8unMxmM9dee22/E8GphD0ROBwObDZb6LFOp8Pv96PX62lra+OGG27g5ptvJhAIcOONNzJ16lRycob2KMn2BqJ3n9sWqn/PuSiNtlYPbS1ebIkmnM1ujCY94yYlMe+2GV1up70+ur0rqEajQQ0ojMlMQDV62blzJ4cOHKalVkfFYQcexYkOI0Zi0GFEwUdt4mbSA99EqwONRgdaDVqNBsWnQavRMWlSFopHQ+bMiwi4wZZg5v9+dD8mk4n68jZK1h2m6UgbyemxzJifSdH7lbS1+IhNsqDVaNBotbQ1e4hNiuGG3wRLExqNhl98/RWcTa5QQzPAweJazLFG/ufmpaHn2rt/3vXyOn5/27sUf1SBNc6EwazH5/bjbPGQ+/XxbHj+9yd9Pu13Xh0bn9sfX7/s2dBzT93yDsnpcWi1x69O9iOtFP3nIOfP/06n9oq+1AuvXraB6rJ6KncH10w2mHW0NXtQVbh31f2h7XTcf1ONgz1bqjCYdDiaPOh0mlAbgcGs73UMJx5TU42DLzcfQvGrzFpwfb+Op7e6/9xv6/Dvrr6T3ndt7arxdkthabf7PZ1usx2rs/r7Wxjpwp4IbDYbTufx0qWiKOj1wd1aLBZuvPFGLJbgF3/RRRdRWlo65BMBBJPBHS/M7/SDTssexaz8KZ0aO0/VO6HjaNGJ56fQ5K6lqqSJ/bt38t6Ow+gxYzPGk2hOJV6bQEzcGGyxFvRaA2pAS9qkUTzw9u/4/uTf09rgwuf1E/ArKAEFjSZYjWIilsTxNtJGpwZ//Hd3+PFPg8uu7hxTyujRvPnEJ/hdKjHxJtqa3bhbfFz5/bNCJXaAq+6Ywcqf/QcAS5wJV4sHVVUZPzWl0/Y61hfPu20G9VWtNNc6e5Uoe9s1r6veSgaznonTUyn/orbL9oreaN9/xtmjaKh20FLXhs4QbNDurtdQQqqNKbPS2b/jKOYYA5MvSutX//UTjykh1caEaaNpqHbQUNUS1t4pp6rD/85dFw5Id8muGlh7OzttX4WrZ89QHD/RX2FPBNOnT2f9+vXMmzePoqIisrOzQ68dPHiQu+66i7feegtFUdixYwfXXHNNuEMaUF1NmdDr3jZVLfhwUe+spqqmEqdqRx/nZUrmdM7STiXGGM/ocUk4mz2YrHo8Th/O5uCgtOS0WMadGWyHOOcbE9j2/j6UJgWP049GE6zHNscYaa51kjTOhi2xdxeh3p40Fy84C6BTr6FFBdM4+EXtSd0/2/vFbyksRasDo8VA4lgbSWNtqCqhKSY6fl7Hp9rwHJtqw0hW3tguY+kqYRw90ASqSuY5ozn7kgzamt189k4ZadnJvT5ZO34WRrOB3MsmdPmdnrh/vVFH+uTkTqOb2z/P9hlRe4qhq2PS6bSnbOju6HQuUqfqBhzO7pLhHpw1kBfp4TLOo7fC3ljc3muorKwMVVVZvnw5GzduJCMjgzlz5vDHP/6R9957D4PBwHe+8x2uu+66U25vKDQWd6Wn28/2i3/5rqO4mr2gU3H7W3ErboxaA1nzjXzvgXxmzJjBwV21nbZ1ZF8De7ceJmdmGmMmJp207fLiGl65fz37dxzB5fSgBkCj1ZB2ZhLjspNIyx41ICNSe3Nx6W49hhM/m/YL9ZiJiSd9Xl29v6db+RO7ssanWEgaF3vaVRinc9wdp7joT7VEfy/mp9on9Lw2RqSqUoZTFc6pqy2H3uhvOPW1M+yJYKANtUTQfrJufWsvBpOu0wAph92F3xugub6NHe/vR2fQ4mz2oCoBVEDV+omJjSFpdBzJ4+JY8dGNQNc/svauhN0NJiovruHJ/3n7pP72x+voT6gDOsWxdHWROJ2TtKvj2f7ePgDOu3JS6LmO7+nLSdZVbJ+/u4+8ORNIHHu8K3L7Z/Gduy7s9QX2dC9OPV0wwlG90N0+/d4AHqevV8cSqWqP4VLd0lW7VF/OtUiIaK+hkazjRUIl2PWxvZ97QqoNn9tP0X8O4nX5MJh1tNodKIoWDcFGc53egNVqwef201DdEtpuV3W0YyclYzQbuv2RZeamctF3Jvf71rqnW93T6Yvd1fF4PX46dT2hc33w6U4LEZds4UBRDed1SAT9ma7idPugh2sN5/7s87N/lDH1koxeHUukBkkNl8FZgzkz6GCQ2UdPQ8eLhC0hONVtS30bn7y5l10fHWTPlkPEJVtoa3XT0FCHPxBAixaNRodOp0Xxq+j0WtwOL8lpx0/c/q6i1d1sheOnpvQ4m2ZPq3zVVTYHB1h9VBFcD+GjCjxuf68a8ro6HqNJj9Gk6/IY+3r8Xc0AOSEvlZaGtpM+C42GPq1+drqzS57qWPq6EltvdbdPVAZkpsy+zs46Eg3mzKCDQRLBaeh4kYhPsVBf1UrAr+D1+qkqraeqtJEjVbXYWxvQoMNqjUFv1IIKgYCCRgfutuAgo6vuON5zpr8/svaGvP4sRtPTBU9v1PHlxsrQ4jpel48vN1aiN3a+mHely+m5R1uJT4np8hj7evwpGfEc2dfQKUm5Wz3kfTPrpKmpfZ5Any6Gp7u05amOJVxTGHe3z8kXpZ32Mp2DuXziUNbVuTYU2zJ6S6qGeqG7esuOt4fNdW0kp8XSVOPE1+bHbDGCUaHucBNGo4EYQxx6ow5V8aPVg6oEq4e0Wi3X/npmqBcOnF53txNvrbuavAxOrg7o6VZXo4HjjUnBKh312PO9iemk6bkfPTcUR1fH2JfjHz81hQ9fKT5pMr6bH5/T6XPtzXF2te3XHt5EwKcQlxJDcprtlHMV9ebY248lXNUL3e0TOO2unzJdw3HDpRqrNyQR9OBU9bgdu/g5mtyYYoxotG2MPTMRh6eJhsPVJBhSGTt+FI5GT2i6CWu8mQnTUpl66fhuG8N6+pH1da3bjk4sdZYX13SanC4rLzU0+Kn9IuHzBJh2SQZVextCXViz8lLxefo//P9Ux9iXk6yipI6cmWk0VLcGY0swhybju/iEgep9mTa4vLiGz94pY/zUFOqrWmiua8PZ5D5pHEF/jzOcUxh3t8/2OZH6O7ZisOcJEoNDEkEPTlUCun7ZpaGSV3BahODIXZffwVdffUVy/CjSxo6mtcFFwK9w5vljGZUeh06n7fdtZHlxDWuf38bOf5cTl2xhQg9rCPRm8ZP2RJc7J5O9W6r4+PU9xI+OCU2S1nE7HZ9z2F0kjj2+3VPFHM4+13WVzYyZmBQaVwHBHhynWumrN3cbHb/79m077K4uE0x/DPYUxu2J7XTGVgxGI+lw6Tk0kkgi6EFPJaD2kld76W7vzkPsK9lPvC2RjDMyjzWK6rEmWJh2bM4hh93Vr1vp9gtq1d4GYpOCdctlW6vJmdn9GgI9lTo7Xuz8NQ40Wg0pGXHExJsxmHRd3v30tfQa7uqEvl6cenu3MRil38GsXhiI7yHcC7GMtIFaw4U0Fvegt42FmbmpzP3hNEoqtmLSWjnzzDM5a9YZuNv8KB1mI4XOF5O+9MAIrYPgDRAIKNhrHDQebmX7+/u77cHTU6NWxwbLQ3uCc+rExJtoa/F06sVyOo1j4VzXFcLXg+N0G4qHmoH4HsLdSBqunlTi1OSOoAd9KQEtf+bXfNr2Omv++A7uCit1lc0kjLaSNM5K4pjjE++1X0z6WvppL6FqdVB7sAWDSYfRosft9PLlxkqmXtr1LKenKnV2LE07mz3ExJnwuf1Yj10wurr76atwVyeEq4ol3KXfwTZQ30M472KkDSIyJBH0IDP3+KIjR/Y3otVpGZOZcNKcMW+//TavvfYajzzyCP9987zQ33fsbtfVesV9uVVvP5GDy9Ycmx8/oAYXbqF3PXhO1OliF2ekrdmNqkLWuWOA7pea7Ev97WBcUMNxcRrsOvxwGw6JbaQN1BoupGqoB+0NbEnjgss5el0+9hcdZcsbX/LK/espL67B4XDw4x//mKlTp/Kzn/3spG2YrAZKNlby2Ttl+DyBUIm/r7fq7VUgnjZ/6MTwuHwkjrUx7ZKMfvXg6Xirb0u0oKqQcfYo4kdbT6pi6W8f8uHc5zozN5Xrl13KXS9fzfXLLh0WMXdnOHwPI22g1nAhdwQ9aC+1f7n5EI5GFwaTHp1eS2ujG7+/kdce2cje6iISD53Hdd/Mp2pPY5fz81zw7exQCaxdfxo5r7lvJi/e+QFNtU7GnZkUmlOotz14uttux5i7KwGvfX4bVXsb8HkDWONNnDFlVK8Xuh9Jfa6Hs6H+PYy0u7DhQhJBD9rrLBuqWtEbdegMwZHBPk8ArQ52/OsAe5q/4Ky8ySTGpvDKrz5k1Blx+DwBjh5oIjnN1m3VT39u1TNzU/nB05d3mgitvdQUzv7n5cU17Px3ObFJZmLiTKH1g3MuSpP622FoKHfRHOrJaiSSqiFO3XOnY8+R9oVZAn4Fg1mH0+7B5W5D0Xn4xjcuw+cJcGS/nf07jpKcHkdzrZODu2ppqnGEtndi42t/btUjcYu/pbCUuGRLaLyE0aLHaNZzoKhG6m+HGZkmQpwo6hcJw2oAACAASURBVO8Ieuq5015qjxtlwX7UScAfXMA9NsnM0YPNNHlqOO/CGcTGxrJrewWWWBM+bwCtVkP8aCvOJheH9tSHpqY+seqnv6WfwS41dVxfGcBg1qGq0NrYJvW3w4xMEyFOFPV3BD31W24vfZ91cQYGiw5VVVEDKvajTjzuNnw4ufhrXwPA2ewGVKzxJiA4dkBRoKm2bdg3fKVkxGMy68mZmY7RYqCtxYtGA3nfzJKLxzAT7nEdYviJ+juC7votHyg6wuplG0J1qPNvn0HeNzP5868+xGF3o6Li8DeTGjOR5iMeYqw2DEYdzhYPk84bC0DiGBvjp46i8bAz7OvMhlvH9ZXbpydw2t3Mv73r9YaHs6Fcfz4QpIumOFHUJ4KuTooj+xqoKW9m9PiETtVFHpcPnU7L2KxEqo5U4cNFQtJ4qssaMZoNZJ07hobqYKOyoqjBhVD0ul6vMzuURUtvjmiY4mA4jCcQgyvqE0FXJ0Xl7nrGT005qQ51x78OkJIRj96ko+5wHYnmFHxuhYaqVu56+Woyc1NDk8J99o8yUGHyRWkRO7aBFg29OaKh/jxakrrovahPBF2dFKmZCYyZmNTpfTHxZvzeAKBytKoGXSCGmAQbeoOWgE8JlRoBPE4fUy/JCCWWkVaiHMlGyhQHPVVvRUNSF70X9YkAul7Mpas61NSsBNpavdRXtaDTajGbzPg8flInJHRqYB7pJcqRbCTUn0dD9ZYYWFHfa6gr3Q1zv/YXXyN+rAmfz4/ZbAXAFGNEBXZtqGTrW3s5UHREemQMYyNhigOZwVP0lSSCLnQ3YOviBWehO+swrdSSkhZP4lgbRrMenU6LwajFYNJRU97MkX0NnbY33EqU0Ww4zMfTE+keKvpKqoa60V0d6rsbXycxL42zpgWXbbQmBE84nyfAlFnptLV4qCipIz7FKj0yhqnhXn8+Eqq3xOAK+x2BoigsXbqURYsWUVBQQEVFRZfvufXWW3n11VfDHc5p2bNnD7t27WLBLfO45r6Z+LwBfF4/RoueKbPSSUi1MWZiEqmZCcO6RCmGt5FQvSUGV9jvCNatW4fX62XNmjUUFRWxYsUKnn/++U7veeqpp2hpaQl3KKdtzZo1aDQaFixYwNixqVz0ncldlryy8sZw/bJLIxipiGbSPVT0VdgTwfbt25k9ezYAeXl5lJSUdHr9/fffR6PRhN4zVKmqypo1a7j00ksZOzY4clgG5oiharhXb4nBFfaqIYfDgc12fJlGnU6H3+8HoKysjH/+85/85Cc/CXcYp620tJTS0lKuvfba0HMjoWFRCCHCfkdgs9lwOp2hx4qioNcHd/vWW29RU1PD//zP/1BdXY3BYCAtLY1LLrkk3GH12QcffADA/PnzOz0vJS8hxHAX9kQwffp01q9fz7x58ygqKiI7Ozv0WsdlHZ955hlGjRo1JJMABKuwJk+ezPjxwQXiR/rEZEKI6BH2RDB37lw2b97M4sWLUVWV5cuXs3LlSjIyMpgzZ064d98rPV3UXS4XGzZs4Pvf/37o/TJyUwgxUoQ9EWi1Wh566KFOz02cOPGk9/34xz8Odyhd6s1FfdOmTbjdbi6//HIgOiYmE0JEj6gfWdyb4fgffPABRqORSy8NdgmVkZtCiJEk6hNBby7qH3zwAbNnz8ZqDc4v1HEd43YyclMIMVxFfSLo6aJ++PBhdu/eHaoWAhm5KYQYWaI+EfR0Uf/4448BuOyyy0J/I+MHhBAjSdRPOnficHy9UYfJauDtpz4lJSOeTV99isVi4Zxzzjnp7+TCL4QYCaI+EcDxi3rHHkQBRWX7e/s4+IWei5NuoGpPo1z4hRAjUtRXDXXU3oPI5wlQtrWagKLQ5nFiaU3j0fy/8ewP36W8uCbSYQohxICSRNBBew+iqtIGjGY9jhYHJmLQaw3EJsVwYOdR3nziE0kGQogRRRJBB+09iJzNbgxmHfYaBypgi7NgtOjweQOy5J8QYsSRRNBBew8ig1GH1xXA2+ZDr9WTkGrD5w5gjTfLwDEhxIgjiaCD9h5EWeeOobWxDY/PhcGmQ6fT4nX7Sc9JloFjQogRRxLBCTJzU7njhfnc8OQFHGEPFlNwHqHsi9IwmHQycEwIMeJI99EOOs5CWtNyiEo+54nf/4yG3Sp1lc3YxlpkyT8hxIgjieCYE2ch3bH2KBM1s8nKyuKKa9MjHZ4QQoSNVA0dc+IspPVNNcQlx/D5P/ZHOjQhhAgruSM4pq6ymeT0uNDjo0ePkjVxIgeKjrB62QZZiUwIMWLJHcExHWchdTocOJwO4nQp1JQ347C7Oi1aIwPKhBAjiSSCYzrOQnrkyFH0mFGaTIyfmnLKRWuEEGK4k0RwTMeppSv3HsWHizNyRjNmYlKn98mAMiHESCNtBB20z0L6btmLeOsOkHNBBg67K7QmMchKZEKIkUfuCLrwxRdfcM4558hKZEKIqCCJ4AQul4vS0lLy8vJkJTIhRFSI+qqhjqOJUzLiicv2oyhKaEUyWYlMCDHSRXUiOHE0scPuYstzXxLLaM4+++xIhyeEEIMiqhNBx9HEALZEC05vM2M1U8nKyopwdEIIMTjC3kagKApLly5l0aJFFBQUUFFR0en11atX89///d8sWLCAtWvXhjucTtpXJOvI3trA6Nh0jEbjoMYihBCREvY7gnXr1uH1elmzZg1FRUWsWLGC559/HoDGxkZeffVV3nzzTTweD/Pnz+fKK69Eo9GEOywgOJr4xO6h9rpm4lNjBmX/QggxFPSYCKqqqli9ejWHDh0iPj6eKVOmcNlll5GWltarHWzfvp3Zs2cDkJeXR0lJSei1pKQk3nrrLfR6PdXV1ZhMpkFLAhAcTfzK/etprq3G6/FjMOrxNMKEeTJOQAgRPXqsGrr99tvJysri+uuvZ8uWLZSWlnLDDTfwm9/8Bq/X2+MOHA4HNpst9Fin0+H3+0OP9Xo9f/nLX1i0aBFXX311Pw/jNKjqsX9o8Ho9BNQAEzLHD34cQggRIT0mAkVRuPbaa5k5cybx8fE88sgj/Pvf/yYtLY0HHnigxx3YbDacTmen7en1nW9EbrjhBjZt2sTnn3/O1q1b+3EY/bOlsJQxExM578pJzPyvyaRONdFGE97K2EGLQQghIq3HRDBz5kz+8pe/AISqbfR6PbfeeitFRUU97mD69Ols3LgRgKKiIrKzs0OvHThwgDvuuANVVTEYDBiNRrTawRvjdmJjcX1DA37caNymQYtBCCEircc2gl/+8pe8+OKL5OfnU1tby5o1azCbzRQVFZGQkNDjDubOncvmzZtZvHgxqqqyfPlyVq5cSUZGBnPmzCEnJ4dFixah0WiYPXs2F1xwwYAcWG+0Nxb7PAGqShs4VNLKOM3ZHC1r4alb3pH1B4QQUUGjqqFK8lNyuVxs2bKFPXv20NLSwoQJE7jqqquIi4vr+Y8HUH5+PoWFhQOyrfLiGl751Ycc2W/HEmtib0kZuI2MHZ/COd/KwmTW47S7ZVoJIcSwd6prZ6+7j1osFubMmcOcOXMGLLBIy8xNZdQZcTTXteHzBvB5FCxxKvGjrRze28i0rwcbjbcUlkoiEEKMWFE9shjA5wlw7uUTCfh9FBUVMSohDoNZh/PYamWy/oAQYqSL+kTQ3k7gcDfhw43RYMbnDmA91ogs6w8IIUa6qE0E7bOOHig6Sk15E8S5cFKHxj+VthYPE/JSQ+sPfOu750Y6XCGECJuoTATlxTW8cv96ag7aaahuxdPmI+BXGMUkss4ZQ9KYePzeALaxFr713XOlfUAIMaJFZSJY+/w2KkpqaG10E/AF0Oq0+L1+jFhQA1rm3z5DLv5CiKgRlSuUlW6txucJoCoqWr0WrVYDKugwsX/HUdY+vy3SIQohxKCJykSACt42Hz5PAI/Th6fNh0rww/B6fOz8dznlxTWRjlIIIQZFVCaCcWcm4nH5URUVVe0w75xWg9GkJy7ZwpbC0ojGKIQQgyUqE0FscgyxyWa0umCVECqoqKDRYLYamZCXKmMHhBBRIyoTgd8b4PxvT2b8tNHozTo0WlAIYLRoyf3GBExmvYwdEEJEjahMBCkZ8ZjMei64KpsLrjoTY6yWAD4sNiNtLW6cdjez8nMiHaYQQgyKqEwEs/JzcNrdVJfVU723EQwKKgoGk4HK3fVccHW2dB8VQkSNqEwEmbmpXHPfTBoPOwn4FTB6sRv2M/emc5n29fFUlNRFOkQhhBg0UZkIIJgMxmQl8LUFU/BYa7EmGQGZZE4IEX2iNhFAsK2grdlNU1MT8ccW2ZFJ5oQQ0SaqE8Gs/BwcdjcOu5v4+ITQJHPSUCyEiCZROddQ+8yjdZXNoA3g9wewEIctUSaZE0JEn6hLBOXFNbz5xCdYE80kp8dxsKwSPUYuum4C1991aaTDE0KIQRd1iWBLYSnWRDO2RAsAHsWJFzdNezQRjkwIISIj6toI6iqbiTm2+hhAa2srftz4WqPuoxBCCCAKE0F7TyEA+1EHh3c7GcvZ2KtdMuOoECIqRV0i6DiqeM+WKtytfvQ6HaPSY3nziU8kGQghok7UJYITRxX7caON89BQ7eCrbUd48c4PJBkIIaJK1CUC6Dyq2KHWYgok4HX5iB1loanWKXcGQoioEvZEoCgKS5cuZdGiRRQUFFBRUdHp9T/96U9ce+21XHvttTz77LPhDiekva1AbTVjNOsxWvT4PQESRsdgTTTLwjRCiKgR9kSwbt06vF4va9as4d5772XFihWh1w4dOsQ777zDa6+9xt/+9jc+/vhjSksH5wI8Kz+H5joHWsWE0WLE6/Ljdfs5Y8oomW9ICBFVwp4Itm/fzuzZswHIy8ujpKQk9NqYMWP44x//iE6nQ6PR4Pf7MZlM4Q4pxKd6MWLB26BBCShMmZVOQqpN5hsSQkSVsCcCh8OBzWYLPdbpdPj9fgAMBgNJSUmoqspjjz3GWWedRWZmZrhDCo0utte14KIFFA01B5torm+T+YaEEFEn7InAZrPhdDpDjxVFQa8/PqDZ4/Fw33334XQ6efDBB8MdDhAcXRwIKFTttmMmFp1ei9flZ+e/DuD3Brjmvpky35AQImqEPRFMnz6djRs3AlBUVER2dnboNVVVuf3225k8eTIPPfQQOp0u3OEAwdHFh0rrcbcE70xi4szExJvQaDSoKpIEhBBRJexzDc2dO5fNmzezePFiVFVl+fLlrFy5koyMDBRF4bPPPsPr9bJp0yYA7rnnHs4999ywxpSSEc+n/yhD0SgAaLVaVEXBbDWwd2t1WPcthBBDTdgTgVar5aGHHur03MSJE0P/3rVrV7hDOMms/BzeefpTFF8AvVZHwK8QCCjEJVtA5p4TQkSZqB1QljcnEyWgoNUa0Bm0xI+KQVEg56K0SIcnhBCDKioTAcDiBy7BaapFHxfAmmDGbDUyblIS826bEenQhBBiUEXdegTtJkwbzZ7Av7gyewmTpowlJSOeWfk50lAshIg6UZsIWlpaqPNUkLsgmbvuvTrS4QghRMREbdXQ4cOHARg3blyEIxFCiMiK+kSQliaNw0KI6Bb1iWDs2LERjkQIISIrKhNBeXENn66qIpf/YtPLB2TtASFEVIu6RNA+4VxLQxtejQOfU5WFaIQQUS3qEsGWwlKsiWbcihOrzYotySIL0QgholrUJYK6ymZi4s20OduwWmMAZCEaIURUi7pxBAaTjk8K9xAoT8aqHcXn/yxjXHYSadmjIh2aEEJERFTdEZQX11BRUkv9oZbgPEMaLUf229m98RDjp6ZEOjwhhIiIqEoEWwpL8XsVRmXE4Ve9aHU6TDEGrIkmKkrqIh2eEEJERFQlgrrKZryeANZ4E23YsaVqGTspCa1OK20EQoioFVWJICUjHqNJR5vDAwTXTPa5/RhNelmsXggRtaIqEczKzyE+JQZHkwstejSKDmeLh/jRVlmsXggRtaIqEWTmpnLj8m+QepYZLTp0Gj25Xx/PjY9eJtNPCyGiVlQlAggmg7SZeo5Syvjc0SSk2iIdkhBCRFTUJYLy4hqK36rDgIX0iaNw2F0yxYQQIqpFXSLYUliKDzfofJjMJmyJMsWEECK6RV0iqKtsxuV3EhNjBY0GkCkmhBDRLeoSQUpGPK4WN1arNfRcW7Nbuo8KIaJW1CWCWfk5uFv9WI2xKIqKw+7CaXdL91EhRNSKqkRQXlzDlsJSPG0BDO5EDhbXYEu0cM19M6X7qBAiaoU9ESiKwtKlS1m0aBEFBQVUVFSc9J7GxkYuv/xyPB5P2OJoX5CmuqweXEbUFhO7N1ZS+WVt2PYphBDDQdgTwbp16/B6vaxZs4Z7772XFStWdHp906ZN3HLLLdTVhXfSty2Fpfj9AfZ+Vo2ZeHQGHTqDhuIPD/LK/eul+6gQImqFPRFs376d2bNnA5CXl0dJSUnnALRaVq5cSUJCQljjqKtspnpvA/ajDnToUX3BfaPR0FzrlO6jQoioFfaFaRwOBzbb8dG7Op0Ov9+PXh/c9de+9rVwhwAEF6Q5sr8Jxa+iogAanM0erPEmvB6/dB8VQkStsCcCm82G0+kMPVYUJZQEBpOqAqgEfAo6DCh+FXQKgYAis48KIaJa2KuGpk+fzsaNGwEoKioiOzs73Lvskv1oK5Y4E6oGQIOqgqqqeNr8MvuoECKqhb1oPnfuXDZv3szixYtRVZXly5ezcuVKMjIymDNnTrh3H+Js8hKXZMGttFJf7SDBlIyqqFjijDL7qBAiqoU9EWi1Wh566KFOz02cOPGk93344YdhjcOaYKK1sQ1FVXBh55ypU/C4fIzJSpQkIISIaoNfWR8hWXljMFsNHFlfhUkXg9GiZ+ykRMadmRzp0IQQIqKiZmTxrPwcdDotqs2BO+4ImeekotNppW1ACBH1ouaOIDM3lWvum8m/r/knMbokbIkWvvXdc6VaSIghzufzUVVVhdvtjnQow4LZbCY9PR2DwdDrv4maRADBZNCQXExydjLXL7s00uEIIXqhqqqK2NhYJkyYgObY1PGia6qq0tDQQFVVFZmZmb3+u6ipGmrX2NhIUlJSpMMQQvSS2+0mOTlZkkAvaDQakpOT+3z3FFWJoLy4Bmt1NoEdGaxetkHmFxJimJAk0Hv9+ayiJhGUF9dQ+NtP8LvBmmKStYqFEOKYqEkEWwpLMVi1+HATYzHLWsVCiCHl888/p7S0d9ej/fv3U1BQMGD7jprG4rrKZnTWAAAWiwWQtYqFGG5eeeUVXn755QHd5i233MKNN944oNvsjzfeeIN58+aRkzP4XdqjJhGkZMRzoDS4KI75WCKQtYqFED3x+Xw8+OCDVFRUoCgKt956K7/73e/4f//v/6HT6bj77rt59dVXWbhwITNmzOCrr74iPj6eJ598EoPB0Olv77rrLi688ELWr1/Ps88+i6qqnH322SxatIhNmzaxe/duJk2axBdffMGf/vQntFot5513Hvfddx+1tbXcd999qKpKSkrKgB5j1CSCWfk57Lz3S/SYMZvMobWKv/XdcyMdmhCil2688cZBL72//vrrJCYmsnz5cux2OzfccAMrVqzggQceQFVVHn/8cWw2G263m29/+9ucf/75PP7446xZswaTyXTS37799ts8/PDDvP766yQnJ/PSSy+RlJTE7NmzmTdvHjExMTzzzDO88cYbWCwWfvrTn7J582b+85//cNVVV7Fw4ULWrl3Lq6++OmDHGDWJIDM3lUnfsuJb58LTDLYJMqBMCNGzsrIytm/fTnFxMQB+v5/09HRiY2MxGAxMmTIFAL1ez/nnnw8cn3VZq9We9Lf19fXExcWRnByc3uZ73/tep/1VVlbS2NjI97//fQCcTieVlZUcPHiQhQsXhrYviaC/YtvYx0f88Lm/Mnbs2EhHI4QYBrKyshgzZgw//OEPcbvdPP/882zduhWr1YqiKLz//vtcccUV+P1+SktLycnJYfv27UyaNAngpL8dPXo0LS0tNDU1kZCQwCOPPMLVV1+NRqNBVVXS09MZO3YsL7/8MgaDgcLCQqZMmcKBAwfYuXMnOTk57Nq1a0CPMWoSQXlxDV+8Xk8u/8W/fv8llyzUyt2AEKJHixcv5te//jU33HADDoeDb37zmzzzzDOsXr0aVVVZsmQJ06ZNA+Cll17i8OHDjBs3jrvvvhug098uWbIErVbLgw8+yA9+8AO0Wi1nnXUW06ZN48svv+SJJ57gqaee4qabbqKgoIBAIEBaWhpXXnklt912Gz/96U9Zu3Yt6enpA3qMGlUNrt01XOTn51NYWNinvykvruHNJz5hZ8k2dhR/xp0/ugen3c01982UZCDEELdnz55Q9ctQ9o1vfIP33nsPk8kU6VC6/MxOde2MinEEWwpLCQQUHEdUUjVTKP+ihkBAkTEEQghBlFQNHSg6ytEDdnzuAFqDgtfl5+CuWtxOX6RDE0KMEOFeXCucouKOwNnkQavVEFC96A16jBY9Wq0GZ5Mn0qEJIUTERUUisCYYURTwexT0egNelx9FCT4vhBDRLiqqhrLyxmKKMbB7r4cY1YbRYmDMxATSskdFOjQhhIi4qEgEs/JzePOJT2hSqsnITiLznNE47W5ZplKIEai8uIYthaXUVTaTkhHPrPwc6R3Yg6ioGsrMTeWqn8zA6W9F5w3OPCpdR4UYedq7ijvsLpLT48I23XxBQQH79+8f0G321auvvsozzzwzINuKikQAEJ9uYB8fcf6twWUqJQkIMfJsKSzFmhgs7Gm1GpluvpeiomoIwG63A5CYmBjhSIQQ4VJX2Uxyelyn5053unmfz8cvf/lLqqqqCAQC3HzzzQA8/fTT2O12jEYjjz/+OAB33XUXqqri8Xj4zW9+w5QpU1i1ahX//Oc/0Wg0zJs3jxtvvJFf/OIXNDU10dTURGZmJhdccAHXXHMNdXV1/OAHP6CwsJDf/e53bNu2DUVRuOmmm7jyyivZtm0by5cvJy4uDp1OR15eXv8/rA6iIhGUF9fw1v+3jVz+i6/ebaP87Bq5IxBiBErJiMdhd2FLtISeO93p5tesWUNSUhJPPPEEDoeD/Px8jEYjixcvZv78+axevZoXX3yRmTNnkpCQwOOPP86+fftoa2tj3759rF27lr/+9a8A3HzzzVx88cUAXHTRRdx0003s27ePhx56iGuuuYa3336b/Px8NmzYQFVVFa+++ioej4eFCxfyta99jd/85jc8/fTTZGZm8uCDD57eh9VB2KuGFEVh6dKlLFq0iIKCAioqKjq9/re//Y38/HwWLlzI+vXrB3z/7XWGzXWtuGhG9etliUohRqhZ+Tk47W4cdheKooammz+djiH79+8PzSpqs9mYOHEilZWVzJgxAwjOBFpeXs4ll1zC9OnTuf3223n66afRarWUlZVx+PBhbrrpJm666SaamppC18DMzEwAJk2aRCAQoLq6mrVr13L11VdTVlbG7t27KSgo4NZbb8Xv91NdXU19fX3o76ZPn346H1UnYU8E69atw+v1smbNGu69915WrFgReq2uro5Vq1bx2muv8X//9388+eSTeL3eAd1/e52hoguOIk4aHSd1hkKMUJm5qVxz30xsiRYaqloGpGPIxIkT2bZtGwAOh4OysjLS09NDM4Bu27aNM888k08//ZTRo0fz8ssvc9ttt/Hkk0+SlZXFpEmTeOWVV1i1ahX5+flMnjwZ6LzI/IIFC/jtb3/LpEmTiIuLIysriwsvvJBVq1bx5z//mSuvvJIzzjiD1NTUUCP1QM5AGvaqoe3btzN79mwA8vLyKCkpCb1WXFzMueeei9FoxGg0kpGRQWlpKbm5uQO2//Y6Q7fbDYDFbMZkliUqhRipMnNTB7Tqd+HChTzwwANcd911eDwe7rjjDgoLC1m3bh1//vOfsVqtPPbYYyiKwj333MOrr76K3+/nRz/6ETk5OcycOZPrrrsOr9dLbm4uqaknx3bFFVfw6KOP8vzzzwPBCew+++wzlixZQltbG9/85jex2Ww89NBD/OxnP8Nms2G1WomPH5gVFsOeCBwOBzabLfRYp9Ph9/vR6/U4HA5iY2NDr1mtVhwOx4Duv73OcNKZZzLH68ViseBokiUqhRC9YzQaeeyxxzo9d80113T53pUrV5703K233sqtt97a6bmONSMQXEe9/a4DgncLv/zlL0/aVm5uLm+88UavY++tsFcN2Ww2nE5n6LGiKOj1+i5fczqdnRLDQGivMzRqLMz62sU4mtwymEwIIToIeyJoX7INoKioiOzs7NBrubm5bN++HY/HQ2trK/v37+/0+kAIR52hEEKMJGGvGpo7dy6bN29m8eLFqKrK8uXLWblyJRkZGcyZM4eCggKWLFmCqqrcfffdYVnUYaDrDIUQg0tV1U6Nq6J7/VlrLOyJQKvV8tBDD3V6buLEiaF/L1y4MLQgsxBCnMhsNtPQ0EBycrIkgx6oqkpDQwNms7lPfxcVA8qEEMNXeno6VVVV1NXVRTqUYcFsNvd5TWNJBEKIIc1gMIQGUYnwiJpJ54QQQnRNEoEQQkQ5SQRCCBHlhl0bQXV1Nfn5+ZEOQwghhpXq6upuX9Oo/el0KoQQYsSQqiEhhIhykgiEECLKSSIQQogoJ4lACCGinCQCIYSIcpIIhBAiykVFIlAUhaVLl7Jo0SIKCgpCi0cPJT6fj5/+9KcsWbKEBQsW8J///CfSIXWpoaGBSy+9NLRu6lDz4osvsmjRIvLz83n99dcjHc5JfD4f9957L4sXL2bJkiVD7nP84osvKCgoAKCiooLrrruOJUuW8OCDD6IoSoSjC+oY4549e1iyZAkFBQV897vfpb6+PsLRBXWMsd0//vEPFi1aFKGITi0qEsG6devwer2sWbOGe++996Rl4oaCd955h4SEBP7617/yxz/+kYcffjjSIZ3E5/OxdOnSPk9xO1g+/fRTdu7cyauvvsqqVas4evRopEM6Z+a6QAAABXNJREFUyYYNG/D7/bz22mv86Ec/4qmnnop0SCEvvfQSv/71r/F4PAD87//+L3fddRd//etfUVV1SBROTozx0Ucf5YEHHmDVqlXMnTuXl156KcIRnhwjwJdffsnf//73fq0VMBiiIhFs376d2bNnA5CXl0dJSUmEIzrZFVdcwU9+8hMgOKe4TqeLcEQne+yxx1i8eDGjR4+OdChd+vjjj8nOzuZHP/oRP/zhD/n6178e6ZBOkpmZSSAQQFEUHA5HaNnWoSAjI4Nnnnkm9Hj37t1ccMEFAFxyySVs2bIlUqGFnBjjk08+yZQpUwAIBAJhWdiqr06M0W638+STT/KrX/0qglGd2tD5FYaRw+HAZrOFHut0Ovx+/5A6Ca1WKxCM9c477+Suu+6KcESdFRYWkpSUxOzZs/nDH/4Q6XC6ZLfbOXz4MC+88AJVVVXcdtttvP/++0NqMZOYmBiqq6u58sorsdvtvPDCC5EOKeTyyy+nqqoq9LjjqmBWq5XW1tZIhRZyYozthZIdO3bwl7/8hdWrV0cqtJCOMQYCAe6//35++ctfDokk1Z2ouCOw2Ww4nc7QY0VRhlQSaHfkyBFuvPFGvvOd7/Dtb3870uF08sYbb7BlyxYKCgrYs2cPP//5z4fcQiEJCQlcfPHFGI1GsrKyMJlMNDY2RjqsTv70pz9x8cUX88EHH/D222/zi1/8olMVwlCi1R6/PDidTuLi4iIYTffWrl3Lgw8+yB/+8AeSkpIiHU4nu3fvpqKigmXLlnHPPfewb98+Hn300UiHdZKhdzUMg+nTp7N+/XrmzZtHUVER2dnZkQ7pJPX19dxyyy0sXbqUmTNnRjqck3QsaRUUFLBs2TJSUlIiGNHJzjvvPF555RVuvvlmamtrcblcJCQkRDqsTuLi4jAYDADEx8fj9/sJBAIRjqprZ511Fp9++ikXXnghGzdu5KKLLop0SCd5++23WbNmDatWrRpy3zVAbm4u7777LgBVVVXcc8893H///RGO6mRRkQjmzp3L5s2bWbx4Maqqsnz58kiHdJIXXniBlpYWnnvuOZ577jkg2Og0VBtmh6LLLruMzz//nAULFqCqKkuXLh1ybS033XQTv/rVr1iyZAk+n4+7776bmJiYSIfVpZ///Oc88MADPPnkk2RlZXH55ZdHOqROAoEAjz76KGPHjuXHP/4xAOeffz533nlnhCMbfmT2USGEiHJR0UYghBCie5IIhBAiykkiEEKIKCeJQAghopwkAiGEiHKSCIQQIspJIhBCiCgniUCIfnjttdeYPHlyp2mkr7zySg4dOhTBqIToH0kEQvRDWVkZU6ZM4aOPPgLA4/HQ0NBAenp6ZAMToh8kEQjRD3v37uV73/teKBHs27ePrKys0Gydq1ev5qqrruKyyy5j1apVEYxUiJ5JIhCiH/bt28ecOXNobGyktbWVsrKy0GSGH3zwAVu2bOHNN99kzZo1PPvss/j9/ghHLET3JBEI0UdHjhwhISEBs9nMrFmz2LRpE3v37mXy5MkArFq1ivvuuw+DwcDo0f9/e3eoYiEUhVH4L54opgGjSavFahe0+h6+g9V3MtvlKJhsZpsg02RghssIF7xw1hdP2snFtuwveZ73MWcegb8QAuCmeZ6vj36e5+r7/no7jkPWWkVRJEnatk1BEMgY8+TIwEuEALhpmqbrN1CWZRqG4XpblkX7vmtdV53nqa7rfh0xBz4NIQBu+hkCY4ziOJbnefJ9X+M4qixLNU2jqqoUhqHqun54YuA17hEAb9S2rdI0VVEUT48C/BsbAfBG1lolSfL0GMAtbAQA4Dg2AgBwHCEAAMcRAgBwHCEAAMcRAgBwHCEAAMcRAgBw3DczeNYasgAVqgAAAABJRU5ErkJggg==
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<p>This is exactly what we expect. In fact, the quantity $N\rho$ in this Poisson process is the expected number of crossovers between the two genes $\text{A}$ and $\text{B}$ and by definition is equal to the genetic distance in $\text{Morgan}$ or $10^2\ \text{centiMorgan}$ or $10^2\ \text{map units}$.</p>

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<h2 id="Crossing-over-events-with-both-non-sister-chromatids">Crossing over events with both non-sister chromatids<a class="anchor-link" href="#Crossing-over-events-with-both-non-sister-chromatids">&#182;</a></h2>
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<p>Here, we introduce negative elements in the <code>crossings</code> array. What do these mean?  For <code>row 0</code>, <code>-1</code> at any one of these loci signifies a crossover with the outer non-sister chromatid whereas <code>+1</code> signifies a crossover with the inner non-sister chromatid. Similarly, for <code>row 1</code>, <code>+1</code> signifies a crossover with the outer non-sister chromatid and <code>-1</code> signifies a crossover with the inner non-sister chromatid (note the reversal in signs).</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">crossings</span> <span class="o">=</span> <span class="n">meiosis</span><span class="p">(</span><span class="n">N</span><span class="p">,</span><span class="n">p</span><span class="p">,</span><span class="n">state</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span><span class="n">sig</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="p">[</span><span class="mf">0.5</span><span class="p">,</span><span class="mf">0.5</span><span class="p">])</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="n">figsize</span> <span class="o">=</span> <span class="p">(</span><span class="mi">5</span><span class="p">,</span><span class="mi">1</span><span class="p">))</span>
<span class="n">sns</span><span class="o">.</span><span class="n">heatmap</span><span class="p">(</span><span class="n">crossings</span><span class="p">,</span><span class="n">linewidth</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span><span class="n">cmap</span><span class="o">=</span><span class="s1">&#39;Blues&#39;</span><span class="p">,</span><span class="n">vmin</span><span class="o">=-</span><span class="mi">1</span><span class="p">,</span><span class="n">vmax</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span><span class="n">square</span><span class="o">=</span><span class="kc">True</span><span class="p">);</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">chromosomes</span><span class="p">(</span><span class="n">crossings</span><span class="p">,</span><span class="n">plot</span><span class="o">=</span><span class="kc">True</span><span class="p">);</span>
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<p>As in the above example you can visualize how a single chromatid crossing over with both non-sister chromatids in a meiotic event would end up.</p>

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<h3 id="Is-the-upper-bound-on-$\theta$-violated-if-a-chromatid-experiences-crossover-events-with-both-non-sister-chromatids?">Is the upper bound on $\theta$ violated if a chromatid experiences crossover events with both non-sister chromatids?<a class="anchor-link" href="#Is-the-upper-bound-on-$\theta$-violated-if-a-chromatid-experiences-crossover-events-with-both-non-sister-chromatids?">&#182;</a></h3>
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<p>We allow crossing over with both non-sister chromatids in the same meiotic event, but a crossover event at a locus is independent of crossover at every other locus. Let's define a vector $\alpha = [\alpha_1,\alpha_2]$ where</p>
$$\alpha_1 = P(\small\text{locus on outer chromatid forming chiasmata with outer non-sister chromatid})$$$$\alpha_2 = P(\small\text{locus on inner chromatid forming chiasmata with outer non-sister chromatid})$$<p>If $\alpha = [1,0]$ or $[0,1]$, we reduce to the previous case of a single chromatid forming chiasmata with only one of the non-sisters.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">N_v</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="mi">1</span><span class="p">,</span><span class="mi">60</span><span class="p">,</span><span class="mi">3</span><span class="p">);</span> <span class="n">p0</span> <span class="o">=</span> <span class="mf">0.03</span><span class="p">;</span> <span class="n">mei</span> <span class="o">=</span> <span class="mi">200</span>
<span class="n">rf_v</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">np</span><span class="o">.</span><span class="n">shape</span><span class="p">(</span><span class="n">N_v</span><span class="p">))</span>
<span class="n">leg</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">alpha</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">array</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="mf">0.2</span><span class="p">,</span><span class="mf">0.8</span><span class="p">],[</span><span class="mf">0.5</span><span class="p">,</span><span class="mf">0.5</span><span class="p">],[</span><span class="mf">0.9</span><span class="p">,</span><span class="mf">0.9</span><span class="p">],[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">]]):</span>
    <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">n</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">N_v</span><span class="p">):</span>
        <span class="n">p_i</span> <span class="o">=</span> <span class="n">p0</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
        <span class="n">rf_v</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">test_cross</span><span class="p">(</span><span class="n">mei</span><span class="p">,</span><span class="n">n</span><span class="p">,</span><span class="n">p_i</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="n">alpha</span><span class="p">)</span>
    <span class="n">leg</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="sa">r</span><span class="s2">&quot;$\alpha = $&quot;</span><span class="o">+</span><span class="nb">str</span><span class="p">(</span><span class="nb">list</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">round</span><span class="p">(</span><span class="n">alpha</span><span class="p">,</span><span class="n">decimals</span><span class="o">=</span><span class="mi">2</span><span class="p">))))</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">N_v</span><span class="p">,</span><span class="n">rf_v</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="mf">0.8</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">leg</span><span class="p">,</span><span class="n">bbox_to_anchor</span><span class="o">=</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;$N$&quot;</span><span class="p">);</span> <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="sa">r</span><span class="s2">&quot;$\theta$&quot;</span><span class="p">);</span>
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n+D41/AuqehzQTTlwUzUSr1ICCEWSAQVMyxFWCuhVZjyS3NZX3cepRyJc5NAnBM2IPT6VU4tHuGD7dfIup6Hv83MJAW7jUXNDBlHqcUppg8yBteZHZJNgCetnp8Ugxc0vfAx3kEr/fsws6oNN45fAZzMwVvPBxI92Z/qzltMQqaDTCdiV8IN50PtxprCrsr/5FQlhEHp7+GywdApYG2E6HFmBqXgv2TkW2bkphdzJoT12hqa0nvIGd6e/amt2dv0orS2Je4j1Opp/C18WWI7xBCHEJw17rfDE0fi8/kox1RhDax5q1BQSjNFBD6qKlT2JFlpuztuJ0weDFYNVydreDuRAizQCAoT+IpSDwBXV4gFyPzjswjpTAFGTLKpDLQyCB6FRnx28krtiDYsymn8ry4GuWEk6UTTmonHC0dcbJ0wsLsr7C2JEkkFSQRlRV1U4xzSnMAsDO3I9ghmFCHUILtAmmyeQY4teInr5f56UQiT109QYneSHtvO17q0wx7TQXeo4U1dHkBQkbA8RUmQYv6zeQ9Bzxsaot5+htTspXKCtpNMpUp1VGQ/0Qmk/F8bz9S80tYujsWZ2tzQpuYvqQ4q50ZHTCa0QGjK7z37LUcFm69iJ+TFf8Z8o+EOY0D9JtjigCc+8nU3lMIc4WEh4ezdOlSJk2axKRJk6ocnqTX63n77bdJSkpCp9Px3HPP0bdv30ptVzeMSa/X89Zbb5GUlIRcLufdd9/Fz8+PmTNnsm3bNtasWYOfX82PV4QwCwSCWzEaTaJm5UyOXy/mHZlLRnEGMzvPJNg+mOySbDISj3Fp2xw24gBeQbg76bmSd4UTqScoM5bdYk6r0uJs6YxWpeVy7mVydbkA2FvYE+oQSqhDKCEOIbhqXP9KlLq0G3KvQd/ZjPP3pnlTO749coUBoa70C3auNqEKm6bQfx5cPw9HPoV9/zV13SpMN0UB2j1l8rDNG65hh1IhZ8agIF7/+Rxhv0fx4ZhW1XY1i0rJY/6mSJrYWjJ3eGjliWseHU0/9ymxsbGEhYWRkpLCsGHDyMrKYvjw4bRs2bJWdoYMGcLkyZPZvn37zeFJZ8+eZeHChSxfvvzmuo0bN2Jra8sHH3xATk4OI0aMqFKY/z6MqSJ7+/bto6ysjJ9++olDhw7x0Ucf8fHHHxMWFsbVq1dr/fsQwiwQ3AMU6Ar4Ne5X+nv1x1Xj2rgPu7wX0qPJfuhl3j2xkMziTN7q+NbN4RAOlg6c1reDfH/eskjCc+By5CqTV2yUjOSW5pJWlEZGcQbpxemkF6WTXpxOdmk2LZ1aEuIQQohDCC5ql4oF1mg09ZS29QTf3gC0cLfhg9Gtav9eXFvAiE8xRmwlZ/XnaLqPwLz/M2DeOCMdtRZK5gwN5bW155i7MZIPRresNDs9Lq2AdzZG4GClYv7w5rXKYm8UYrbBxd8b1mbQYAgYWOWS0tJSpk2bxpIlS/Dw8GDQoEGEhobeIsq1ncdc1fAkgIcffpiBA037kiQJhaLqsr7q7Pn4+GAwGDAajRQUFNRrFjMIYRYI7gk2XNrApvhN7Lm2h2ltp9HKqQ4iVRMMZXBiJdl2HsxLP0BWSTZvdXyLYIe/GiGcuJLFst2xPOw9ikF5S5FFbzJ5n4BcJsfOwg47CzsCCazbHhIOmQY/9J4J8gYoD5LJyD5+nbw4BXlXT+Bo2xGrbg/V324lNLG1ZObgYGatv8DCLReZOywUs3+0A72aWcScjRfQmJvx7ojm2FUUln9AOHz4MMHBwTe7Pur1+nJDKGo7j7mq4UkAGo3m5rqXX36ZV155pV721Go1SUlJDBo0iOzsbD777LNa7fefCGEWCO5y8nR5bL+ynVZOrcgpyWHhsYWMDx7PEN8h1Yd0a8vFTWTlXmWeuzfZJdnM6DSDIPu/hspEX89n4ZaL+DpZ8dSjXZBt3Wc6+wwe1jAZw5JkKluybgr+lYcWa0NJdAx5mzdj1bMH+rQ00hcvRhcfj90TE5A1hPBXQPOmNrzUx5+Pdsby2b5LvNDb/+Z/q+u5JfxnwwXkMhnvjmiOs7b2pWWNQsDAar3bxiAqKoqQEFM0JjU1FbVaTbt27W5ZU1uPuarhSX+SkpLCCy+8wPjx4xk6dGiVe6zO3tdff023bt147bXXSElJYdKkSfz222+Ym5tXabcyhDALBHc5m+M3U2IoYWLwRJzUTiw/t5zvor7jcu5lpraairmibn/5y6ErIvPkl7yrNSNbLuftTm8TaP+X15uUU8zc3yKw16iYMzQES5UC2k6C31+FmC0QMrz+e7h2DDJioOebpvrpeiLp9WQsX47C3g6Hf/0LmVJJ5qqvyd2wAV1CAk7TX0Fh1Thh7b7BLiTnFLP2ZCJN7Sx5tI07GQWlzFp/Hl2ZkYWPtSjffvQBRKlUkpqaCsCiRYvQ6/Xl1tTWY65qeBJARkYGTz/9NLNnz6ZLly71tmdtbY1SaTqKsLGxoaysDIPBUJGpGiHayAgEdzGF+kK2XtlKJ9dOeFh7YGFmwSttX2Fc0DgOJx/mP4f+Q3pReoM8K/PsN8wzJJNt5XiLKBuNEsfiM5lzw8ubOyz0r9GDTduCS3M48z0Yyn+g1oo/vWWtq6nsqQHICf8V/bVrOE6dilytRqZU4vjsMzj8eyrFF86T/OZb6K5da5BnVcSETl509Xdg1aErbIu4zn/WXyCvuIx5w0Pxcqh7vff9xNChQzl58iQDBw4kKCiI1q1b12lU4t/p378/KpWKsWPH8t577zFjxgwAcnJyePHFF/nss8/Iy8vj008/ZeLEiUycOJGSkhLS09OZPn16jez9aQvgqaeeIiIigvHjxzNp0iSmT5+OWl3zedv/RHjMAsFtIKOglO+PXqWFuzVd/RxrPFxhy+UtFJcVM7LZX3NmZTIZI/xH4G3tzZLTS5hxcAbT200n1CG07vvLvsS8yK/Is7BmZvcwAuwCKNKVsSMyld/OpZCaV4KT1pw5Q0No8ncvTyaDtk/Cljcgdrsp2aeuJJ2G1Ajo/mrNpjRVg+7aNXLCf0HTrRvqf4RGrfv3R+XpSdr7H5A8YwZOL76EpnOnej/zn8jlMl7tH8CM/PMs2x2HykzO3GGhNHMR4xv/xNXVtcEHE8nlcubNm1fudVtbW5YtWwbArFmzyl03MzPDxaX8CM7K7P1pS6PRsGTJkvpu+6/nNZglgUBQIZIk8fGuWHZGpbJ4RywTVx5j8Q5TP2ijsfLhbkX6IrZc3kI7l3Z423iXu97auTULui3AWmXN/CPz2Xp5K3UZFpdRnMHcXdPIl8qY9dBcNDIPVuy7xFNfneDLA5ex1yh58+EgvniyfcWC4tERnILgzHdgrHv4jtPfgMYJAgbV3cYNJKORjE+XI7dU4/D05ArXWAQG0uT9/6Jq6k7aBx+Q/dMaJKOx3s/+J+ZmCv4zOITOvvbMGhxM86a1a8IiqDmbNm1i1apVdb5fkiSmTJnSYPuZOXMmUVFRtb5PeMwCQSOzPTKV01dzmNrTFx9HDbuj0jgQl8Hui2k4a83pHeRMnyDnWz1RYHvCdgr0BTzW7LFKbbtZuTH/ofksO7uMVRGruJx7mX+1+BdKRc1Kb9KL0pl34G0K8pN51rYP3//hyKmEU8hlMno0c2RY6yb4O1fj3clkps5Z22ZC3C4IqEMYOvkspJyDri81SBJZ3uYtlMbE4DTtZRQ2lQuhmYMDbu/OI+OLL8j5+Wd0ly/jNO1l5PUIQ1aEnUbFzMEhDWpTcCsjR45k5MiR1S+sAqVSiZNTwzVwCQsLq1NYXgizQNCIpOWVsPLAZVq62/BIczfkchmhTWx4pocvR+Mz2X0xjbUnr7HmxDWC3bT0CXKhezNHFIoyNsVvopVTK/xsq+4YpFaqeb396/wS+wvrYtaRWJDIq+1excGy6j7RaUVpvHN4HtlpsUzNVPJJXm9kVgWM7eDJoOautSvh8XrI1Ef7zLfg36/2ZU6nvwVLOwiuOju2JuhT08j+4Qcs27RBc6P2tCpkKhWOzz+Pua8vmV+tIvmtGbi89SbKJk3qvReBoC4IYRYIGglJkli6OxaA6W3lyHfPNfVltnLFQutKLxtXevV1JUPyY29MJruiUvlkTxyf77+ES5NIUg05vNa2Zh6AXCZndMBovK29WXZmGTMOzOC19q/dklX9d6LSEnlr32yy89OZm5pHhs1gJvfuQPdmTqjM6nDCJZOZJk/tfMc0MrE2pU7XL0DSKej8PJjVL8NckiQyV6wAuQzHqc/WuJxMJpNhPWgQSg9P0j78H8lvvInT9FfKnU3fKfQpKeRu2IjNoyNQVnAGKri/EMIsEDQSWy9c59y1XGYHp+C48wtQqEBuBsXZt6xzlJsxysqFx2xdybSz43SuOf/L2I3M4MinvybQNlhJ32A3PB2qD692cO3A/G7z+d+J/zHvyDwmN59MP69+gEm0olLy+en0ebalLsOIjtl6azrY69FMeh1ZLSYqVYhPT7DzMg2R8O1dc6/59LemaU4hw+r3fKBg3z6Kz53D4V9TMKtDSNKyeShN/vtf0t7/gNT3FmI3biw2I0c2fL14DZEkifxt28n69ltkCgXWQ4bckX0Ibi9CmAWCRiA1r4RVBy8x1WIH7S/tNbWG7D8P1PagL4GCVMi/DgXXTf/Mv46sIBXH/NMYS1KwMyvh9dIcmhbOpmCvkeR9dlzRuHHRcQBXNS1MHmoVWEjjyS/5mXcOLOXzI0fxNx9MbrFEfFYSOeofcNDKeC/oSVodWQSd/l2rMYeVIpebvObd8yHhIPj0qP6etIum2uWOz5SfAFVLDDk5ZK36GvPAQLQD694oQ+nsjFvYfDI+XU72Dz+iu3wZxxdeQG55e2uOyzIzyfjkE4rP/YFlq1Y4vvA8Zg7VjLEU3BcIYRYIGhijUWL5trNMzl9BP20CsubDoevL8GdCltLC5FnaeZW7V2/Qs2H3SwSaaWjv9ziygusUZSUhXb2M8foFfBOXcFUdzEGH0WSYe1SxCwsCzSaQwE6S9AfIN1zHz/xhNE1/xdVSzZwus/De/V9TFnTz+iXM3IJfH9N849Pfgnf3ar9AcGa1aZBE6KP1fnTmV6uQSkpwfP65enf0kpub4/TKNMz9fMla/R365GSc33zztoSRJUmicP9+Mr9ciWQ04vDss2gH9L9jXrvg9iOEWSBoYPYeO87AmHcI1hah7Pl6rUK0+xL3kVWazb9bP4fsRj9sNZi6Thv0ELkB91Nf07Xwf9B0EHSYAhrHKiy24XDSQyw/t5x042psVVr+0/k/eGVcgbQoU4etep7r3oJcAa0nmKY5XT0CXuXbJd4k85Jp/GK7p0xn7/Wg6MQJCg8dwnbs46jc3etl609kMhk2w4aZ6p0Xf0TyG29iO2oU2r59Gjxr+08MOTlkfP4FRceOYR4chNOLL6J0beShJYK7DiHMAkEDknF+J66752BuYYnN6GXgVvOxdWXGMjbEbcDf1p+WjhXcp1CahkU0G2CqGb7wi2k8Yquxpp9KQsFdm3aliVUT1setZ2SzkXhaNYXNb4Odd+P0Rm42wOQxn/4WPLtU7jWf/haUamheeTlYTTAWFpLx+ReovDyxHTGiXrYqwrJ1a5r8dyEZn3xC1tdfk73mJ7S9+2D9yCCUbm4N9pzCo8fI/HwFxsIi7J+ciPXQoY3Wy1twdyOEWSBoCIxGjKe+oWTXctLNPGj+xBJkLrXz3A4kHiCtOI2nmj9VddjSwhq6PA+hI+DYClPoOOo36PAvCHi4wqQrbxtvXml3Y4JO5EbITYSBYQ3Sj7ocCjNoPR4OfAiJJ8GjQ/k12Vfg8j6Td21hXa/HZa3+DkNODi5vvoFM2TijE5Wurri9+y6lcXHkbd5M3vZt5G3ZgrpdW6wHD8aiRYs6h5oNBYVkfbWSgn37Ufn64jr3JVQeVR1TCO53hDALBPVFVwi7w8i7uJd9sva4DZ6BQy1F2WA0sD5uPd7W3rR1bluzm6ybQP+5pnKjo5+awscX1kHnF8C9kjIffYlJyF2am2qPG4uAh294zd+Ae/vyXvOZ78DMAlqMrtdjiiMiyN+xA+uhQzD396+XrZpg7u+P08svYzdxIvnbtpG/fTvX585D6eGB9eBHsOrRA3ktJgoVnz1L+qefYsjOwXbMGGwfG4msnrN8H1TCw2PI3fQAACAASURBVMNZunQpkyZNYtKkSbzzzjtER0ejUqmYP38+Xl635nQ8+uijN0c5uru7895771Vq22g01snezJkz2bZtG2vWrMHPr+p+BH9H/B8gENSHnGuwfSa6zARWGodQGDyc8aG1P+M8nHyY60XXebXdq7X3vFybw/BPTGHt41+Ypj15djZlW9v73Lr2wjooyoR+71SfmFUfzFQmr/nQEkg5C03a/HUt55qpQ1jLx8HSts6PMOp0ZH72GWbOztiNHdsAm645ZnZ22I0di+3IkRQcPETe77+T+dkKsr/7Hm3//lgPerjKDGpjcTFZq78jf9s2lB4euLz5Jua1+OC+34iNjSUsLIyUlBSGDRtGVlYWw4cPp2XLmh8FAQwZMoTJkyezfft2dDoda9as4ezZsyxcuJDly5ffXFdaWookSaxevbpGdnfu3Fkne2FhYVy9erVW7wGEMAseEK5mFrH66BUebeNOSJPah04T8xNZG72W0YGj8dDeCDNePQq73kWSyVmueZ6TCi+W9fGvtbAaJSO/xv2Kh9aDDq4VhH1rgkxmaurh3d109nzmO1j3NAQPgXaTTWVaJblw9geTp1yLs+86EzTYlHV9+ttbhfnsD6bz8pZj6mU+Z+3P6JNTcJ0zG7nFnZlpLFOp0PbpjVXvXpRERpK3eTO5GzaQu2EDms6dsR4yGPOAgFv+nyiJiiL942WUpaVhM2woduPGIVM1wCzrerI/cT+7r+5uUJt9PPvQw73qsrnS0lKmTZvGkiVL8PDwYNCgQYSGht4iyrWdx3zq1Cm63+j61rp1ay5cuHDL9YsXL1JcXMzTTz9NWVkZr776Kq1bt650jw1trzqEMAvue0r0Blb8tpeHUlZzOsKBVL/mdOvUBaWzf42ygYvLivnw5IckFyYTkRnBWx3epFnCCTjxBdj7saXJC+w8VcSrA3xxsKp9hvOxlGMkFSQxrc005LJ6JvuYqaD1OAgcdOPseSPE7jR5r0WZoC+Gjv+q3zNqvBdzaDUOjnxiCre7Noe8FIjdZiqPUtvX2XRp/GVyN2zAqk9vLGvpVTUGMpkMy9BQLEND0aemkb9tK/k7d1F4+DDm/n5YDx6MukMHcn7+mdyNv2Hm5ITr3HewDK37RLD7hcOHDxMcHEyzZs0A0Ov1TJ586+CR2s5jLigouBlWBlAoFJSVlWF245jAwsKCKVOmMHr0aK5cucIzzzzD1q1bb15vbHvVIYRZcN/z+f542qX+THfr6+Tq0ymOPEJyzEpcrC2wsPcw9Xh28P/rx8r5ZphXkiRWnFvB9cLrPNfqOX6J/pn5257l9Xw9LXwHcK3lS3y5LorOvvb0Cqh9pymjZOTX2F9pomlC5yadG+5NW9pCt1dMNcpHP4MTX5peDxwE9r41NmMoKKAkIpKSyEh0V65g7ueHulNHzJs1q1nGcPBQk/d++lt45H04+z3I5NCy7qFnyWAg49NPUVhbYz9pUp3tNBZKF2fsn3wS29GjKdi3n7zffyd9yVJQKMBgQDtgAPZPTrztDUuqo4d7j2q928YgKiqKkBDTgI/U1FTUajXt/tEKtbYes5WV1S3rjUbjLSLp4+ODl5cXMpkMHx8fbG1tSU9Px62SLPuGtlcdQpgF9zX7Y9K5+McJJigvou08FW3bSZyLjmXN7oNYFyXQT59HUGY88isH4M+RiebamyK9TSrgSPpRxoVMpJdNIK2y8wgrzmehnRMvBQ9k7d6rWCgVvNC79iFsgFOpp0jIT+CF1i/U31uuCFtPeHgBJJ+BmO2mzO0qMOTlURIZaRLjiAh0V6+CJCFTKlG6u5O7aRO5GzagsLFB3aE96o4dsWzRovJQrNLSdJZ8/HOI3wfRW0whbqu6T/DJ3fgbusuXcf6/11H8zYu525BbWmL98EC0A/pTfPYcRcePoe7YCXXbNtXf/AChVCpJTU0FYNGiRej1+nJrausxt23blj179vDII49w9uxZAgICbrm+bt06YmJieOedd0hNTaWgoKDKqVINba86hDAL7luu55awbHcc0xTbsbN2NGUAy2S0CgrA19uHFfvieTMmnWbOVkwf5o4H1yEz7sbPJWKifmG1PJt2RjOG7fsE5J9jp1DyTu9FLEzawZxDH1CW2Zc5fUdjq679GaEkSYTHhuOsduahJo2YIQ2mM94m5QXBkJNDSVQUJRERFEdEoL96DQCZuTnmgQHYjRuLRUgI5n5+yFQqDAWFFJ85Q9Hx4xQcOkT+zl3ILCywbN0KTceOWLZrV14sQx+Fcz/CrnmAZAqr1xF9cjI5a9ag7tQJTecGjDA0IjK5HHXbNkKQK2Ho0KE8//zzDBw4kLFjx6LT6QgLC2PmzJl1ttm/f38OHTrE2LFjkSSJBQsWAJCTk8OsWbNYtGgRM2bMYNy4cchkMhYsWICZmRnp6eksWLCAxYsXV2vvT1vLli1j1KhRFdqrK0KYBfcleoOR97dexLcslo7KeORtXrjlPFlroeT1gYF08XPgkz1xTAuP5sku3gxrNRy5XEZuaS6L97+FvVHH814jkeclQ1EWtJmAlY07T2qas/fiHBTW28hTeAK1Hy5wLv0c8bnxTG05FUVj1BNXgCEnh+KIiJtesf7aDSG2sMAiMBCrbt2xaB6Kua9vhTXBCisNVt27YdW9G5JOR3FEBEXHT1B08iRFR4+BXI5FcDDqjh1Rd+iA0sUZVGpTY5STq0zesrZunawko5GM5Z8hUypx+FfDDbMX3FlcXV0JDw9vUJtyuZx58+aVe93W1pZly5YB8OGHH5a7bmdnh0sFbVcrs/enLZVKVaG9utLowlyT+i+j0cizzz5L3759GTduXGNvSfAA8N3RBGJT8/nS7gBKmZOpGUcFPOTvSGgTaz7eHcfKg5c5djmTl/r4s+riMvL1+cx7aB5WNreeyZYZjCzfcw1PxtHC7wiro1ZTqC9kTOCYGoezJUliXcw6HC0d6e5e/czg+iAZjRQeOEDOr+v/EmJLCyyCgrHq2fOGR+xb6/pZmUqFuk0b1G3aID3zL3Tx8RQeP07R8RNkrVpF1qpVqLy9UXfogLpNB1TBmcjaPlnn95G/cyclkZE4PvdvzOzrnjgmuH/ZtGkTDg4O5ZLHaookSUyZ0nBf+mbOnElUVFSt72t0Ya6u/gvgo48+Ii8vr7G3InhAOJWQRfjpJCZ7peFyPQa6Ta+yH7StWsWswcHsvpjGiv3xTPp5KWa2p3i1w3P42pRPlPrldCJxaQXMGBREZ78ufP7H54THhVNYVshToU/V6Kz4QsYFYnNimdJ8Ckp543SrAii+EEHWN9+gi49H5euL3cQnsAwNReXri0zRcF66TC7H3N8fc39/7MePR5+SQtGJExSdOEHOL7+Q8/PPKOzskIcvqPMzyq5fx6J5c6z61mLWs+CBYeTIkYwcWb+BLEqlsl5nw/8kLCyMsLCwWt/X6MJcXf3X1q1bkclkN9cIBPUhq1DH4h2xeNlbMly/BbRupvBpNchkMvoGuyC3TGD2wSNI2UEcPOdGG8dSHP9WAhWfXsCPx6/RvZkjXf1NwyOmtpyKVqVl46WNFOgKeL7185jJq/6r9UvsL9hZ2NHbo3f93nAl6JOSyPp2NUUnT6JwdMBp2stounW7bb2XlW5u2Awbhs2wYRhyc7m+9xR/HMnE3TITZ3V+nWya+/lhN/ZxMWVJcN/T6MJcVf1XTEwMmzZtYunSpXzyySeNvRXBfY7RKLFoRzTFegMfts9FcSwWes34a9xiNWQUZ/B99Od0cg/gIdvn+O5IMi/+cJqpPf3oFeBEmVHio52xaC3M+Hevv7o0yWQyJgRPQKPU8OPFHykuK2Z6u+moFBUnhEVmRhKVFcWkkEkoa7i3mmLIyyNn7Vrytu9AplJiN3481kOHIL+DDSyy8uQcj7OlzEZLlOSNvqUzrfp6oDATAxpqSmFOKae3J9Cytzs2To0z2Upw99DowlxV/df69etJTU1l0qRJJCUloVQqadq0KT163P5aOsG9z7rTiZy7lstLvX1xiXzLVCrUbECN7tUb9Sw+tRi9Uc9r7V/FzcqNjt4ufLQjhkXbYzh6KRMnrTmXMwqZOTgYa4vygjrCfwRWSiu+PP8lC44t4I0Ob6BWlv8QDY8Nx0ZlQ1+vhgvJSjoduZs3k/tLOMaSErT9+mH3+BgUtnVvedkQpMTlcDj8EmobFd3HhBB3Ko2Y46lkJBbQ5VE/tPZ3pmPXvURhTil7vr9Imc6AmfL2JAkK7iyNLsxV1X+98cYbN//9448/xtHRUYiyoE5EpeTx/dEEujdzpL/qPGQnmAY81DB0+13kd8TlxDG93XTcrExNAZraWvLfx1oSfiaJ748lUGaQ6B3oRGffynsg9/Pqh9pMzbKzy5h7ZC5vd3obG3Obm9djsmM4n3GeCcETMFfUfw6yJEkUHjpM9vffU5aWhmXbttg/OfGumE50NSKTY79dxtbZku6PB2ChUdK6nyfOXlqOb7rMjq8iaP+IN54hlf8+H3QKskvZ+/1FyvQGeo4LRGPbgLOzBXctjS7MFdV/rVq1Ck9PT/qKJA5BA1BQWsb/tkXjpDXnhZ7eyNbPBcdm4F2zL3mHkw6z9cpWHvF5hM5ut9bGyuUyRrVzp72XHbsupjGmffUDKro27YpaqebDkx8y5/AcZnWehaOl6Tw6PDYcrVJLf6/+tX+j/6AkOpqsVV9TGhuLytsb1zmz74r2lABxp9I4sz0BRw8t3UY3Q2n+l6fXpJkd/Z9Wc3RDPEfXx5OWkE+bfp4olCK0/XcKskvY8100hjIjvcYHYesiQtgPCo0uzBXVf1U0/uqll15q7K0I7kMkSeLjXbFkFOr4YFRLNJe3Q14yDPpvjbzlxPxEVvyxggC7ACYET6h0nbejhindfCq9/k9aO7dmVudZLDy+kNmHZjOr8yxKyko4k3aGsYFjsTSreztG/fXrZH/3HYVHjqKws8Pxheex6tXrtiV2VYUkSUQdTuHCviSa+NvS5VG/CgVXY2NO7wmBXNifzMUjKWQmFdBlhB/WjndHm0pJkijK05GbVkROajE5qUUU5JTi19YJ39ZOjZ6Alp9Vwt7vozEajPQaHyhE+QFDNBgR3NNsi7jO4UuZPNXVmwAHFez4xjRr2KNTtfcWlxWz+NRiVAoVr7R9pdpM6toSaB/InC5zWHBsAbMPz8ZN44ZGqWGg98A62TMUFJCzbh15W7YgU5hhO2YMNsOH3bHJSv9EkiT+2J1I9LHreDV3oMNgb+SKyr8syBVyWvZ2x8lTy/Hf4tm5KpK2D3vh3cLxNu4aDAYj+RklZKcWkZtWdPOfumIDYGqbbmVngUIp59SWBNIS8mk/yPuWKEBDYhLlixgNEj3HB2LrLET5QUMIs+CeJSGzkM/3x9PW05ZH2zSFCz9DYQb0mVXtrGFJkvjijy9IKkhiZqeZOFg2zjmnt403c7vOJexYGDHZMYwKGFVhQlh1FB49SsbyzzAWFmLVuxd248bdVU02jEaJU1uucPlcBv7tnGnT3xOZvGZepZufDQOmhHJ0YzzHf7tMWkI+bQd4YqZqeOErLS4j5+8CnFpEXmYJRoOpT7rCTI6tsyXuQfbYOquxdVFj42yJUqVAMkpcPGqKBmSnFNLlUT/sXKufTlYb8jKL2fd9NEajRK8JgSID+wFFCLPgnqREb+D9rdFozM2Y3j8AeVmxaYpR03YV9oT+JzsSdnAo+RCPBz5OC6cWjbpXNys35nady+5ruxnsU31N9d+RdDqyvv2WvC1bMff3x+HfUzH3qXlI/XZgKDNybEM8idHZhHRrQmj3JrUO9VpqVfQaF0jEwWSiDiWTlWzK2q6PMEmSREF2KelX800/1/IpytX99UwrJTYualz9bLF1scTWWY3W3qLSLxQyuYzgrk1w9NBydH08u76JolVfD/zbOTdIaDsvo5h9P0QjSRK9JgRh43R3hPXvFcLDw1m6dCmTJk1i0qRJVXac1Ol0zJgxg2vXrmFlZcXs2bPx9vau1HZ1HSwrszdz5ky2bdvGmjVrKjzCrQwhzIJ7ki8PxHMtu4h5w5ubBkic/glKcqHjM9XeeynnEt9EfkNrp9aM8K+4VWdD42DpwOiA0bW6R5+cTNqixeguX8Zm2FDsxo+vsH/1nUSvM3B4XRypV/Jo3c+DgI5164MNJuFr3qMpTp5ajm00hbbbDPDCp5VjjYRPkiTys0pMIpxgEuLifNOkIguNGU6eWvzbOd/0hC00dftdOnloGTAlhOObLnNm+1XSE/JpP9gblUXdP07zMorZ+0M0SBI9xz94ohwbG0tYWBgpKSkMGzaMrKwshg8fTstaJjMOGTKEyZMns3379io7Tq5duxa1Ws3atWuJj4/n3XffZeXKlZXara6DZWX2wsLCuHr1aq1/H0KYBfcc+2PS2RaRyuj27rT2sIWSPDi3Bry7gXNwlffm6/JZdGoRtua2vNjmxcYZtdgAFBw4SMaKz5ApzHCZ8Rbq9u3v9JbKoSsu48CaGLJSCukwxAeflg1zNuzibc2AKaEc2xDPyc1XSEvIo90gb5T/CG1LkkR+pkmI0254xSUFN4TYSomTpxZnTy1Onlq0DhYNmrBlrlbSbVQzYk6k8seeRLK/iqTzCF8cmtR+DGVuejH7frgIMhm9JgTdsQS4/L17Kdi1u0FtWvXtg7ZXryrXlJaWMm3aNJYsWYKHhweDBg0iNDT0FlGu7Tzm6jpOxsXF3SzN9fX15dKlS1XusaHtVYcQZsE9RWpeCcv2xBHkqmV8R0/Ti+d+An0htH+6ynuNkpFlZ5aRU5LDvIfmoVVpb8OOa4dRpyPrq6/I37ET86BAnKdPx8zx9iZD1YTifB37f4ohP6uEriP9aRpo16D2LTRKeowNIOpIChH7k8hOKaLzCF/kCvmN0HSeSYgLywCw1Cpx9jKJsLOXNVZ25o2eOS2Tywjs5IqjuxVH119i97cXadnbnYCOLjV+dm56Eft+iEYmk9FzQiDWDg+Wpwxw+PBhgoODadasGQB6vb7cEIrazmOuquMkQHBwMHv27KFfv36cO3eO1NRUDAYDikr6xze0veoQwiy4ZygzGHl/azQy4PWBgZgp5KZRjBd+Ab8+4FD1Gc76uPWcTT/L082fxs+25uc9twtdYiJpH36I/uo1bEY+it3YsQ06aKKhKMguYd+PMZQW6ek+JgAXH+tGeY5MLiPkoSY4eWg5uiGeHV9F3rxmqVXh4mOD0w2P+HYIcWU4NLWi/9OhnPj9Mud2XSM9IZ8OQ30wt6z64zUnzSTKcoXJU77TXdC0vXpV6902BlFRUYSEhACQmpqKWq2mXbt2t6yprcdcVcdJgMcee4xLly4xfvx42rZtS2hoaJUi2tD2qkMIs+C2cD4xl6W7Y5EBVuZmqM0VaMzNsFKZoTE3Q3Pjz5q//dnK3OzmaxZKOd8dTSA6NZfpA3yQm+VzJfc6RSe/otBYSFHTEArjN1NUVkShvpCisiKK9KZ/L9QXUqQvIr04nYeaPMQAr5q16byd5O/ZQ+YXXyK3MMdl1kzUbapPYLsT5KQVsf+nGIwGIz3HB9YpdFtbnDxNZ7pxp9JQW6tw8rRGY6u6q4ZZqCzN6PqYP3Gn0ji36xo7VkbQeYQvju4VR2VyUovY92M0coWcXhMC77go30mUSiWpqakALFq0CL1eX25NbT3mqjpOApw/f54uXbrw9ttvc/78eZKTk2+rveoQwixodIp1BhbvjEEGBLlpKSw1UFhaRnZhMQWlZRSWllFaZqzwXgkjOvlVipXnKVFcQuto4PNYFcQChjLIigcra4j7+eY9FgoL1Eo1GqUGjVKDvYU9HloPHrJ8iOH+w++qD3RjSQmZX3xJwd69WISG4vTKtLuqDOrvZCQWcHBtDAqlnN5PBN/WBCVztZLQ7k1v2/Pqgkwmo1l7FxyaWnHk10vsWX2R5j3dCersekumd05qEXt/iEZhJkQZYOjQoTz//PMMHDiQsWPHotPpCAsLY+bMmXW2WVHHSYCcnBxmzZrFvHnzWLJkCZ999hlarfbmaMb09HQWLFjA4sWLq7X3p61ly5bh5eVVob26IoRZ0OisPnqFjIJSFo5sSUiTisOeeoORolIDBboyikrLSMhL5tj1A5zNPIJel40Wc1pq2tHVxwcbCys0ZhrUkb+hMWag7vk/1DYeaJQa1GZqFPK7L/xbEbqEBNI+XIQ+ORnbMWOwHT3qjnbvkiQJfYmBwtxSCnN1FOWWUpijozCvlKJcHXkZxaitVaJnczXYu2no/3QIp7YkcH5vIulX8+k41AcLjfKGKF/ETKmg14RArOwebFEGcHV1JTw8vEFtVtRxEsDW1pZly5YB8PXXX5e7bmdnh4uLS43t/WnL3t6+Qnt1RQizoFGJSslj0x8pPNLCrVJRBlAq5Jgpi4lKP8K+xH3EZMcgR05bt5b0dO9Je9f2t45RzLkGV89A6GPQpMNteCcNhyRJFOzaReaXK5FrNKYe1y0at5b6z+fqisv+Et1cHYU5pRTl6UxinFNKme7WyIWZSo7Gxhy1jQpnLy1Bnd2wsLq7SrbuRlQWZnQe4Yuzt5azO66yY2UEId2bcH5vImYqBb3GB2FlJ77cNDSbNm3CwcGhXPJYTZEkiSlTpjTYfmbOnElUVFSt7xPCLGg0dGVGlu2Ow0GjYlIX7wrXGIwGzmecZ1/iPk5cP4HeqMfdyp0JwRPo1rQb9haVhHVPrQKFCto80XhvoBEwFheT8dkKCg8exLJVS5xefrnRRjMaDUayUopuZDAXkJlUgL7UcMsaM5UcK1tzNDbmOHlq0diYo7FRobE1R21jjspCcVeF/u8lZDIZfm2ccWhiCm2f2pKAxkZFrwlBIuLQCIwcOZKRI0fWy4ZSqcTJyamBdgRhYWF1CmsLYRY0GutOJXI1q4g5Q0Ow/EcN6rW8a+xL3MeBpAPklOagVWrp69mXnu498bHxqVoMMi/Bpd3Qajyo787z2Ioojb9M2qIPKUtNw278OGwefbRBQ9cGg5HslELSEkw1vZmJBZTpTR6wtaMlnqH2aO0tTOJra47aWoVSCG+jY+uipt/TIcSfTsM92B6NjRBlQdUIYRY0CgmZhaw9eY2eAU609zaJZ54uj8NJh9mXuI/43HgUMgVtnNvQ070nbVzaoJTXMER68itQqqHV2Brv59rFLC7sTaLDEO9KM2UbC0mSyN+2jaxVXyO3scZt7jtY3CgPqQ+GMiNZyYU3W05mJBZguJFEZ+NsiXdLR5y9tDh6aOvc5UrQMChVCgI7u93pbQjuEYQwCxoco1Fi6a441CoFz3T3BeBYyjGWnllKmbEMb2tvJoVM4qGmD2FjblM742lRcOWgqZmIRc3qZ1Picji6Ph4kiYM/x97WjGJDQSGZny2n8MhRLNu2xemlF1FY163u11BmJDOp4Ganq6ykAgxlEjIZ2Dir8W3thJOXFicPK8zVQogFgnsVIcyCBue3P5KJSc3ntQEB2KiVXMm9widnP8Hb2pupLafiae1Zd+MnvgQLG2hRs77TaQl5HA6Pw9bFkg6P+LB/TQwH1sTQ58lg1Naq6g3Ug9K4ONI+XERZZib2T07EeujQOoWuJaNEzIlUIvYnUaY33hRiv7bOpgYbHlpU1TSzEAgE9w7ib7OgQUnNK2H1kQTaednRM8CJfF0+H578ELVSzevtX8fOoh6tG5PPQOJJ6PICqKqfOpSZVMDBn2PR2FrQ4/EAzNVKuo9pxp7vLnJgbQy9nwiq1+CBypAkibxNv5P13WrM7Oxxe/ddLAIDqr+xAgqySzmxKZ70awU0aWaLb2tHHN2FEAsE9zPib7egwZAkiWW745DLZDzf2w+jZOSjUx+RVZrF3C5z6yXKedu2k7PsHay8VdiM6kV1lco5qUUcWBuDhUZJz/EBN0O7dq4aHnqsGQfWxnBoXRw9xgagMGvABKyCAjI+XkbRyZOoO3TA8cUXUFjVvjuWJEnEn03n3K5ryGQyOg71wau5g0jUEggeAIQwCxqM3RfTOHsth6k9fXHWWvBNxDdcyLzAc62ew9/Ov042pdxkcr9ZRvaGnSgtdeRe1pD34itoBwzAZsRwzOzKi31eZjH7f4pGYaag57hALK1uDVm7+FjTcYgPRzfEc/y3eDoP96t0Bm9tKImOJm3RIgw5Odg/PRnrRx6pk5AW5ek4ufkK1+NzcfG2psMQn0YPuwsEgrsHIcyCBiGnSMeXBy4T7KblkeZu7E/cz+bLmxnkPYheHr1qbkiSICMWEg4iXT5I9q7z5EaWoAl2xmnKE5S59SPn1/Xkbd5M/rZtJoF+dMRNgS7MKWXfDzEA9BwfUGm9qGeoA8UFes7tuoa55ipt+nvW2RuVjEZyN24k+/sfMHNyoklYGOb+tf8iIkkSCRcyObvjKkaDRNuBXvi1cWqQLw0CgeDe4e4cRiu451ixP56SMgMv9WnG5bx4Pv/jc0IdQnkipAYNQAxlkHgKDn4EP4yB8GeQTn1LxoFUcq9qsR7zFE7LdyDrOBmlhwdOL7+E+9IlaLp1I2/LFhKfe57MlSvJv5rKvh+jMegN9Bhb/Qi9wE6uBHR0Ie5kGtFHr9fpfRtyc0ld8B7Zq79D07kTTT94v06iXFKo50j4JY7/dhmtoyX9p4Ti385ZiLJAUEPCw8Pp1asXq1atuvnauXPnmDhxYrm1RqOR2bNn8/jjjzNx4kQSEhJq9Iza2ps5cybt27ev9Xxm4TEL6s3R+EwOxmbwRGdPrDV63jrwP2zNbZnWdhpm8kr+F9MVwbVjptKna8egNB/MzMG9A1LLiaT//geFSWexfXIito8/Xs6bVbq54fTiC9iOeoycX34hc9seLhySKLN3o9fTrbB1qT45DKBVHw9KCvT8sScRCysl3i1qPvu4OCKC9I+WYMzPx+HZZ9EO6F8nrzspOpuTW66gLzXQso87gR1dhSALHihiY2P/mEMJWQAAIABJREFUv737jo66zvc//pyZzGSSTHrvPSEQILTQCU1AikhUQFddr+UnouuuilexrIjAhd29uoJ3V1ddvCvuCqviWldKpITeIQgpkEJ672Xa9/cHGuVKh2EmyftxjueYmeQ7r08mh9d82+fD0qVLKSsr45ZbbqG2tpaZM2fSr1+/K9rO9OnTO6fjfPvtt/nss89wcfn5B/RNmzZhNBpZu3Ythw8fZvny5fz5z3++6LavZntLly6lqKjoisYAUsziGrV0mPnzllNE+bkxIyWQFfuW0WxsZvHIxT+/R7mlBgp3nC3j0oNgMZ299SlqNESNhNDBWM0Klb//PW1HjuJz3314zph+0dfXBgXh+cDDHFQNw5hXTq+Sr2h9+X2qJ07Aa9YsnPwuXrQqtYoh06NpbzWz78sC9G5agmIufm+1YrXS8Mkn1K1dhzYokMDnFuIcHX1Zv6+fMrabObSxiMJjNXgFupJ2VzReAZf3gUKI663gWDX5R6qv6zaj+/td8sNuR0cHv/71r3n99dcJDw/n5ptvpk+fPueU8pWuxwwQERHBqlWr+M///M+fPXfgwAFGjx4NQEpKCllZWZccy/Xe3sVIMYtr8t7OAupbjbwwLYm/n3yfk7UneXzA40R7/qSoak7Bwf+F/G1nzyF7hEKf9LNlHNgXvr+319LcTMXSZXTk5eH36KO4jx93ydc3Gy1k/jOXxkaFtPkj8XMfQsP69TRt2kTTpk24j5+AV/osnC4y/63GSc3I2+L4ds1Jdn6Sx9i7euET4nb+16uro2rlStqPHsNt9Cj8Hn4Y9Xk+QV9KeX4D+74ooL3ZSO9RISSNDEajkTNLoufZuXMnSUlJxMfHA2AymX62CMWVrscMMHnyZIqLi8/7XHNzM4af3C2h0Wgwm804OV24Eq/39i5GillctaySBv6dVc6tA0Ipat/LxsKN3BJ7CyNDR579huq8HwtZ6wopv4C4ieAdBf/nkK+5ro7yxYsxl5YRsGABbkNTL/n6FrOVHR/nUVPczLBbYwmOO7sYhN+8h/FMn0XD+k9pythMU8Zm3MeNx/PWmWjOcxU3gAYYeWsk3/4jl+1rsxl3VxyG/3PhWMfJk1S9vhJrWxt+8x/BMH78FR+6NhstHMk4w6mDVXj46hn5y94X/BAgxI0U1ffSe7e2cOLECXp/P0VtRUUFrq6uDBo06JzvuZo95osxGAznbM9qtV51idpie1LM4qp0mC2s3JxLoIee1IR2lu/7K/39+3NnrzvPXlV94L2zh6x1bjDol5B8+wWn0DRVVFD+8mIsjQ0EPv8cLpdxXslqsbL701NU5DcyZHo04UnnLmahDQjA7+H/h9dt6dSvX0/zps00bdx4ye3GqA0cdR/PhmcP0rfpW3RKx7nbDQsjaNFL6CKufPay6uIm9n6eT0t9BwmpgfRNC0Ojlb1k0bNptVoqKioAePXVVzGZTD/7nqvZY76YgQMH8u233zJ16lQOHz5MQsLVTQBkq+1JMYur8o89RZQ1tLNgaihvHFmOr4svj4ffjPqbF86eR9YZYNB9kHzbRee0NhYVUb74FRSTieCXXsL5+8NZF6NYFfZ9WUBJTj0DJkUQ3e/Cn/Kd/Pzwe+ghvNLTadm5C8Vivui2vQGXJjV7j+s5FX0PqX3acfp+NhO1Xo9h7FjU+stb3F5RFJpq2inJqac0p46a0hbcvJwZ+4te+Efc2IU0hHBUM2bMYP78+UyePJm5c+diNBpZunQpzz///HV/rfr6el544QVWrlzJjh07mDt3LoqisGzZMgCqqqpYtmwZr7322mVv64033uCmm2467/aulhSzuGJ5lc2sP1TCuF4+bCh7h/a2Ol5QB2H4/Dfg7A6D/+NsITtfvHzas3OoWLYMlU5H8JJX0IWHX/K1FUXhwDeFFGbV0HdsKPGDAy8rs5Ov7yUvJPuBF+CcW8+Oj3L5zuTJqFvjUF/m+V/FqlBT2vx9GdfTVNsOgE+wG8lpocQPCUSru9S8ZUL0HEFBQXzyySc22XZYWBjr1q3r/NrLy4s33ngDgMWLF//s+729vQkMvPC/KT/d3k+3pVarz7u9qyXFLK6I2WJl5eZc3F2c0DivI69wC0+1KoRrW2HIA2cv6nK+9BSUbUePUrHid2i8vAj67W/RBgZc8mcUReFoRjGnD1WRNCKYpBEh12NI5xUS78Wgm6PY/1UB+74qIHX6hdeItpisVBQ0UJJTT1lePe0tZtQaFQER7sQPCSQk3ktm7hLiBvjiiy/w9fX92cVjl0tRFB544IHrluf555/nxIkTV/xzUsziiqw/VIK1/DjT/D/n01PZ3KbyJHXQg5CcfvZ88mVo2b2bqtf+iDY0lMAXXzjvtJrn811mKdl7yokbFEByWui1DOOyxKT409Zk5Pj2UlwMOvqNC+t8rqPNTFlePSU59VScbsBssqJ11hAU60loghdBMZ42WSBDCHF+6enppKenX9M2tFot/he5g+NKLV26lKVLl17xz8m/HOKyVeQewG3zq9yhzeFNi5VBAQO5feLKy9pD/kFTRgbVf34T5/h4Ap97Do3h4mWuWBVK8+rJ3VdBZWETUf38rmn6zCvVe1QIbc0mTu4qw0mnxkmrpiSnnuozTSgKuLjriOrnR0i8F/6R7nLLkxDimkkxiwuzWqHyOyjcgZK/HVNhDgbFmdXhgQT7xvDY6OWotZc3IYaiKDR+/jm1//s3XAYMIGDBUxe9iMrYbqbgaDW5+ytpqe/A1UNH//FhxN/gWbFUKhWDJkfS3mIia2sJAJ7+LiSNCCYk3hvvYFdZ8UkIcV3ZvJitViuLFi0iOzsbnU7HkiVLiIyM7Hz+gw8+4JNPPkGlUnH//fczdepUW0cSF2M2QskBKMyEgh3QVgdqDWecE/ibZia5CaWoda08nboQ1wuUsmI0YiwuwVhQcPa//HyMhYVYW1pwGzEC/8d/hUqrPe/PNtW2k7u/goKj1ZiNVvzCDfQbH0ZogjdqO01TqVKrGD4zluLsOnxD3TB4X95V2UJ0BYqiyIfLG0xRlIs+b/NivticpLW1tfzjH/9g/fr1dHR0MG3aNG6++Wb5I7nR2huhaDcUbIfifWBqOzshSMRQiBpFjc8AnvpnNpbQr9Cpa3hm4DMEG4IBsDQ1dRavMT8fY0EhxuJisFgAUOl06CIjcRsxAueEBAxj01Cpzz3cqygKFQWN5O6roPxUAyq1ivDePsQPDsQn2DEm39Bo1UQm+9o7hhDXlV6vp6amBl9fWev7RlEUhZqaGvQXOWJo82K+2ByiPj4+fPrppzg5OVFSUoKzs7P8cdwoTeVnJwApyISyI6BYwc0P4m+CyFEQMgCcdNS11fHMV+sodtpForGeO9tHErnpBOUFX2MsKMBSU9u5SY2PD7rISDwHDUQXGYVzdBROwcE/K+IfmE0WCrNqyN1XSWN1G3o3J3qPCiF2QAB6w/n3qIUQ109YWBjFxcVUVVXZO0qPotfrCQsLu+DzNi/mS80h6uTkxJo1a1i1atV5l9MS11F13tm94oJMqMk7+5h3FKTcBVGjwC8R1GpMFhP7KvaxrXgbmWf201DRzINH1QwuMeOh20ODWo02LBR9nz44R0Whi4pCFxmJxsvrsmK0NhrJO1DB6cNVGNsseAe5kjrj7OxdGie5eEqIG0Wr1RJ9FQuwCNuyeTFfzhyid999N7Nnz+ahhx5i9+7dDBs2zNaxep79q89Ok6lSQWAyDJt/dhEJz7Of2hRFIbc+l23F29hZupMWUwseOm8issK4ZU8hiQYdXnffhuvgQejCw1Hpruy+XMWqUF3STN7+CopP1gEQmuhN/JBA/MIMcqRECCG+Z/NivtgcoqdPn+bVV19l1apVaLVadDod6gsc9hTXIHfj2VKOv+lsIbv+OK90dVs124u3s7V4K2UtZejUOlKDU0nzGUr+H7/G9cAuIvomEvr0E+iioi7r5UxGCw2VbTRUtlJX0UpDRSsNVW2YTVZ0eg0JQ4OIGxSAm6fzpTcmhBA9jM2L+XxziK5evZqIiAgmTJhAr169mDNnDiqVitGjR5OaeulVhcQVKD8GW1dAcH9IewY0WtrN7ewt38u24m1kVWehoJDkk8TM2JkMDR6K6uQpTr34R/QFpVgmTyfhPx8+71XUiqLQ1mSivrKV+opWGipbqa9oo7munR8uOtTpNXgGuhKd4o93kCthid44yZSUQghxQSrlUtdtO5j09HSbzava7TSWwvp54OyOMvN/ONlaxpbiLewu3U27pZ0AlwDGhI9hTOgYAt0CsXZ0ULdmDfVffkWW2YW9abfz0q9vQeekPnsfcnUbdeU/lHAbdRWtGNt+XBTCzcsZ70BXPANc8A5yxTPAFVcPnRymFsIByL+dXYdMMNJddTTB18+AYsU6eRmr8z5mQ+EG9Bo9w0KGkRaWRi+fXqhVZ08dtGdnU/3GG5hKy8juPYz3fAezZM5AtBoVpbn1fJdZSm3Z2WsFNE4qPP1dCUv0wjPAFa9AV7wCXNE6y56wEEJcKynm7shiho0vQWMp1qm/46/FG9lYuJFp0dOYnTgbvdOP988pRiN16/5Jw7/+hZOPD+2/epo3s0xM6ROEd4uVTe99R11ZK25ezgycHIl/hDvuvnq7TfYhhBDdnRRzd6MosOOPUHIA65inebfmIJuKNjEzdiZ39rrznMPKHfn5VK96A2NhIYYJ4/G4516W/yubSIuV6Lw2Mnfl4eblzJBpUUQm+1720odCCCGunhRzd3Psn3Dic6z97+JtYwkZZzKYFTeLOYlzOktZsVho+PRT6tatQ2NwJ3Dhs7gMHMTfPsvG61gTcS7OKDqFIdOjiezjI4UshBA30CWLubi4mA8++IAzZ87g6elJUlIS48aNIzTU9svuiStUsAN2/wlr1Gje0lvYcmYr6XHpzE6c3VnKppISqlauoiMvD7cRI/B58EHKy8zse/Mopbm1BHo5My49nog+vnK4Wggh7OCSxTx//nzuuecexowZw3PPPYdKpeLdd99l7NixLFy4EN0VTjQhbKQ6FzJeweqbwFv+gWwp3spt8bdxR8IdqFQqFKuVxq++pm7NGlTOzvj95jfU+/Vm87oiGqraKGjroDhUx5J5g/E2yHsqhBD2csljlFarlTvuuIPhw4fj6enJkiVL2LhxI6Ghobz44os3IqO4lOYq+PdCrDoDb4YnsKU0k9sTbu/cU7YajVS99hq1q1fj3Lcv1vkvs+OEF7vWn0KxKijJnmz3V7h9RryUshBC2Nkli3n48OGsWbMGoPNwqJOTEw8++CCHDx+2bTpxaaY2+OY5rMZm/hTdj62V+7gj4Q7uSLgDAEtjI+WLXqZ5127ab76PI/4z2Le5EoBht8aQMieOf5ZUMyjKh7EJ/vYciRBCCC7jUPbChQt56623SE9Pp7KykrVr16LX6zl8+DBel7logbARqxUylmCtyeV/EoaRWXecOYlzSI9PB8BUWkr5smWYq2som/g4JZV6PP1VDJ8VS1iiN6jgpc+Oo1apmD8uViYCEUIIB3DJYlar1TzyyCPcd9997Ny5kxMnTtDY2Eh8fDxPPPHEjcgoLmTvX7AUbOd/opLZ0ZzP3MS5zIqfBUD7yZNULF+BooLqGQsoKbSSNCKY5DGhqL6/qCvjZAWHiup5OC2GAPcLrw0qhBDixrns26VcXFyYMGECEyZMsGUecblOfIHlyN95IyicnaYa7ux1J7fG3QpAc+YOqt94Ayd/P6pveoT8rBYSUgNJTgvt3CuubzXy9rZ8koLdmZocbM+RCCGE+Am5j7krKjmAJfO/WeXtxS61mV8k/YJbYm9BURQaPv0XdWvW4JzUi/oJD5Czq5qYFD/6Twg/51D1X7adpt1s4Vfj4+W2KCGEcCBSzF1NfRHmjb9llauG3Xpn7u59NzNiZ6BYLNS8/Q5NGzfiNnIkDSPnkLW5hIjePgyaEnVOKe85XcP23GruHhZBuI+rHQcjhBDi/5Ji7kra6jF/9QwrVQ3sMQRwb/J9TIuZhrWtjcr/fpW2Q4fwTJ9FQ/IkDn1ZQEi8F6kzojvPKQO0dJj589ZTRPq6kj4wzI6DEUIIcT5SzF2F2Yhpw/OsbD/NXu9Aftn3QabGTMVcU0PFsv/CWFSE77yHaQwfxP71pwiM8mD4rNifTaf53s4C6lqMPD81Ca1MtSmEEA5HirmLMB36G69X72Wfpz//kTKfKdFTMBYUUL5sGdbWVgKfW0iDRwy7P8rFJ9TAyNvj0DidW7xZJQ38O6ucmSkhxAe622kkQgghLkaKuStoreWrrL+xz0XPfwx+nClRU2g7fJiKP/wBtasrwa+8QqPGj50fZuPh58Lo2fE46c5dG7mhzcSqjFwCPZy5e1iknQYihBDiUqSYuwDTwf/la5rpFzaZKVFTaNq8meo330IXHk7g88/R0OHM9r9n4+blzJi5Cej0TjS0mThe0kBWaQPHShoprGlBUeCVW5PRazWXflEhhBB2IcXs6BpK2HXyY+rcPJiXOJvav/+dho8/wSUlhYCnnqSxGbavPYnaWYN+qD/v7S/iWEkDRTWtADg7qekV7M7dQyMZGOlNXIDBzgMSQghxMVLMDk7Z9w5faIxE+qQQ8vetNGRm4n7TRDR33cu3J+o4+VkhTUYz+/1VdGxrRq9VkxTsQVqCP31DPYkLMMhFXkII0YVIMTuy6lyyTm+gyN3Akzs1lB/YQu6IKWxyG0zVOwfoU2pGiwrrYB/mxvuQHOpBnL8BJyliIYTosqSYHdmet/jCWWHkd3pMu/L4KjGN73z608fFmUEdFlz99Ez+ZW98g93snVQIIcR1IrtWjqr4AGdKdtNyRkO/XS3sD0mm/wN38t49gxlaq8JH68Sku5OklIUQopuRYnZEVivsfYstDTBySwunPOLwfOBBpvcJYee6XFrq2xl5ezx+YXIhlxBCdDdSzI4ofwu1p7PwymihVu9N8y8f465h0WSuy6GuopXhs+IIjPKwd0ohhBA2IMXsaCxmLJl/4cT2DowWyLntUeZN68ehb4qoLm5m6C3RhMR72TulEEIIG5GLvxyMcvxflHxxkoZGhX9PTWXlL2ZSdKSGwqwaktNCiejta++IQgghbEj2mB2I0tFCxarXKC1X+NcIHx686zHaqts5vKmI4FhPkoYH2zuiEEIIG5NidiBVb/yW+u/q2NDPB/34IfT37s2u9Xm4GLQMvSXmnOUbhRBCdE9SzA6i9tuN1K7fwOkwHw6N9+WOxFvY+3k+bc0mhs+KQ+ciZx2EEKInkGJ2AC25eRS+sgjcYfOd/Qny9MerIIryUw2kTIzAJ0TuVRZCiJ5CitnOjFXVHF6wED0NVM1Jo9ipign66ZzYXkZEHx9iB/rbO6IQQogbyObHR61WK4sWLSI7OxudTseSJUuIjPxxPeD33nuPL7/8EoC0tDQee+wxW0dyGNb2dnYveBGX+iK8x3uwKSkcQ5kJzb4gXHydGXxzFCqVnFcWQoiexOZ7zJs2bcJoNLJ27Vqeeuopli9f3vncmTNn+Oyzz/jwww9Zt24dmZmZnDx50taRHIJitbLr+aVYTucQkmrFacLt7Ko8SmrRNBQLjEiPxUkn6yYLIURPY/NiPnDgAKNHjwYgJSWFrKyszueCgoJ455130Gg0qFQqzGYzzs7Oto7kEPa/+iate/fhNchASJ9AvvHwJDi/N+6NfgyeGoWHn4u9IwohhLADmxdzc3MzBsOPczprNBrMZjMAWq0WHx8fFEVhxYoV9O7dm+joaFtHsrujH/6L+s8+o61vAv161dHefw57juQRVdmfXqkyiYgQQvRkNi9mg8FAS0tL59dWqxUnpx9PbXd0dLBgwQJaWlp46aWXbB3H7vK27qHiz29RG5HAlLFtaAwBbFK8CTqRTFiEH/0nhNs7ohBCCDuyeTEPHDiQbdu2AXD48GESEhI6n1MUhfnz55OYmMjixYvRaLr3OdXSk6fJW/JfNHv5MemJyejqcjD2v4+sr2vR6/RMmjMAjUYulBdCiJ7M5ldl33TTTezYsYO5c+eiKArLli1j9erVREREYLVa2bt3L0ajke3btwPw5JNPMmDAAFvHuuHqK2s4+PSLoHZiwPJFeB95EcUrii+OeaBqbCblthDcPHvG+XUhhBAXZvNiVqvVLF68+JzHYmNjO///2LFjto7gELb98V30jXWEvLKYKCULGorJj36Foi21tMSVMHbIbHtHFEII4QDkuOkNUFZShXbXdixDhpE8vA8ceI86w3B27ldT6V7EiIl9UKvkrRBCCCHFfENsf3stWouJQQ/+Ao59hLGpiZ0V06m1VlOd/B3jwsfaO6IQQggHIcVsY4Vl9egzM1D3SyEgyg/l8D/Y23IXje0ajsRsYGzcGPROenvHFEII4SCkmG1sy3sf42pspd8Dd8KhNWRXxFPaHk9L0hnaPRuYEj3F3hGFEEI4EClmG8otb8Bt60b0CQn4xgZQtXcnx5omEJjky3bnLxkROgIfvY+9YwohhHAgUsw2tOmDr/BuayDp3tl0fPsndpWMxxAaQl1yLu3WdqZFT7N3RCGEEA5GitlGjpfU4751A4bwUHz8Gzh2CEyuYaTekcA3xV/T168vUZ5R9o4phBDCwUgx24CiKHz10beENJQTd9skmra+T0FbCrEje3HceJja9lqmx0y3d0whhBAOSIrZBg4W1eOVuQnPQF98NHs4Xt4XjU8IicOD+fL0l4QaQunn38/eMYUQQjggKebrTFEUPv9yN3FVp4kaFUND/mnOWIaQMCyc0+25FDQWMC1mmkwoIoQQ4rykHa6zXadr8N2Zga+nHi/tHrLap6Lz8iNhaBBfnP4CD50HY0LH2DumEEIIByXFfB1ZrQrrNx0lufQ7QhKg3hJAqbEPicODONNeyMHKg0yKmoRWo7V3VCGEEA7K5otY9CRbc6vw37uFQG07XsENZKrm4WTQstP1GzZlbsBd686kyEn2jimEEMKBSTFfJ2aLlY+2ZTO76AB+YS1U+E8hJ0/NyfAvKSvOZmLkRG5PuB1PZ097RxVCCOHApJivk00nKgg8mEmwuZJTvfVknAnDohQT2MeVJ5N/T5h7mL0jCiGE6AKkmK8Do9nKut353Hf63xwPbudrr/70yvdl4JQIxg4fZO94QgghuhAp5uvgw4NH8T753xjbqzg0wJfRbXfhG+7HmJHJ9o4mhBCii5Grsq9Bs7GZd46+x5+yXmR4dg5ufs7cm/Y2zs3u9BkTilojv14hhBBXRvaYr4LJamJDwQY+yf2E4vp6JuYq9GtQCJ5/H5kHTXj6uxCRJKtGCSGEuHJSzFdAURT2lu/lgxMfUNFaQZJ3MtZTIfzy2Er0Af5UJc6l6esiRt4Wh0qtsndcIYQQXZAU82Wqbqtm5cGVZNdlE2YIY2HqQo7leTDu9K9QN4Hhgfns2FmOT7AbIQle9o4rhBCii5Jivkz/zPkn+Q35PNT3IcaFj6Op3cL2PSsYmV+MU3A0VcEjaD1RyuCpUahUsrcshBDi6sjVSZeh1dTKrtJdjAodxcTIiWjUGv6duYeJ5Z9hrXfBdeYvOLm3Cv8IdwKjPOwdVwghRBcmxXwZdpbupMPSwYSICQBUN7YSePA1tMUqnPwjqQwaTHuzib5jQ2VvWQghxDWRYr4MGUUZRLhHEOsVC8CRL98krLkAGn3Qj59CzuE6gmI98Qtzt29QIYQQXZ4U8yUUNBRwquEUEyImoFKpqCg4QeiptbTXRqDRe1ARMhxjm4W+aaH2jiqEEKIbkIu/LmFz0Wa0ai2jQkeBxUzNly9jsjhjqHFGO2wkp062ENbLG+8gN3tHFUII0Q3IHvNFdFg6yCzJZGjwUAw6AzU7VqOty6XROhK12UJFxBgsJivJY2RvWQghxPUhxXwRe8r20GpuPXvRV80p2vesJstpAKFFlaiTB1GQbyYi2RcPPxd7RxVCCNFNSDFfxOaizQS7BZPkk0Tt9r9Q06HG1TASVWMD5dHjsFqhzyjZWxZCCHH9SDFfQHFTMSdrTzI+YjyqhmLacray33UMvU4cxBKVRFG5hpgUPwzezvaOKoQQohuxeTFbrVZ++9vfMmfOHO655x4KCwt/9j21tbVMnjyZjo4OW8e5bN+e+RaNSkNaWBo1u96n0agQ6tUfa3kZ5TETUatVJI0IsXdMIYQQ3YzNi3nTpk0YjUbWrl3LU089xfLly895fvv27dx///1UVVXZOsplM1lMbC3eyuDAwXhaLLQd/4ojLsNIyj5Mh38UZY2uxA4MwNVDZ++oQgghuhmbF/OBAwcYPXo0ACkpKWRlZZ0bQK1m9erVeHk5zsIP+yr20WRsYnzEeGr2/IO2tnY8AkZiyculPG4SGq2aXsOD7R1TCCFEN2TzYm5ubsZgMHR+rdFoMJvNnV+PHDkSb29vW8e4IhlFGfi5+NHPM46WQx/xnXM/+nx3mDbPMCo7PElIDULvprV3TCGEEN2QzYvZYDDQ0tLS+bXVasXJyXHnNalsreRY9THGhY+j7uCndLQ24uI6CGtODmVJ09G5aklIDbR3TCGEEN2UzYt54MCBbNu2DYDDhw+TkJBg65e8JhlFGahRMzZkNI17PqBAE0v88e9oDe1DjcmDxKHB6PSO+8FCCCFE12bzhrnpppvYsWMHc+fORVEUli1bxurVq4mIiGDChAm2fvkrYrFa2FK8hf4B/VHn7cXSXImTMhSl8jhFw+biotcRPzjA3jGFEEJ0YzYvZrVazeLFi895LDY29mffl5GRYesol3So8hB17XU80Od+qj/+HVXWQMJzTlMVP44mk54RMyJw0mnsHVMIIUQ3JhOM/ETGmQy8nL2IrG9FXZ+P0hCDuQPOGPoTHOdJaKJjXaQmhBCi+5Fi/l5NWw2HKg6RFpZG1ba/0djuTmBhJWcSZqDS6Rk4KRKVSmXvmEIIIbo5KebvbSvehhUrg9TBOFeiYzpSAAAJbElEQVQdwVQeQqM+jFrnMPqMDsHNS6beFEIIYXtSzIBVsZJRlEGybzJtOz6lrV6LR5WRooib8Ap2l9ujhBBC3DBSzEBWdRaVbZUMde+Na8kOjGf8qPBPxeTqw6Cbo1Br5NckhBDixpDG4ey9ywatAY9DB7FUKKiNvpT7DyJmYCB+YYZLb0AIIYS4Tnp8MTd0NLCvfB9DfQbiVbCJjkIPzoSMwyXQm37jwuwdTwghRA/T44t5W/E2zIqZ4FPlqAo6aNKn0OodTf8JEehcZIYvIYQQN1aPLmZFUfj2zLdEG6KIPvktLcU+lAaPISgpkMhkX3vHE0II0QP16GLOrsumpLmEiEoV2txGynwnoPYLYOAUuWdZCCGEffToYt5ctBmd2plBR/dQWx1LQ2AKvcdF4eHrYu9oQggheqgeW8wtphZ2l+4mvMUD9+/qOBM8Bc/oIHoND7Z3NCGEED1Yjy3mzJJMOiwdjDh4ghLzCCx+UQyeEY/Gqcf+SoQQQjiAHtlCiqKwuWgzrq1aQrNMVPiPJHp4FIHRHvaOJoQQoofrkcV8uuE0BQ2FjNlfRoHLJPTBgaRMibF3LCGEEKJnFnNGUQbGxjbisv1o9owlZVZf9G5ae8cSQgghel4xt5nb2F6cyYQ9rRR7jCOwVwixAwLsHUsIIYQAemAx7y7dTVNVNZEl/bC4eZF6zxBUarlnWQghhGPoccW8uWgzabt01Bv60TstCq8AV3tHEkIIITr1qGI+03SG098dIaBhJHpXK/1vT7V3JCGEEOIcPaqYNxVuZvjuEMw6P4bN7YuTTmPvSEIIIcQ5ekwxmywmDm3ahME8BH+PGiLShtg7khBCCPEzPaaY95ftp8+heDQqK6MeHm3vOEIIIcR59ZhirttYgY5I4vzzcE+Wc8tCCCEck5O9A9wovfyteOj2MuT/zbZ3FCGEEOKCekwxx4xOJSa4CeLG2DuKEEIIcUE9ppjxDINBv7R3CiGEEOKiesw5ZiGEEKIrkGIWQgghHIgUsxBCCOFApJiFEEIIByLFLIQQQjgQKWYhhBDCgUgxCyGEEA5EilkIIYRwIF1ugpGSkhLS09PtHUMIIbqUkpISe0cQl0mlKIpi7xBCCCGEOEsOZQshhBAORIpZCCGEcCBSzEIIIYQDkWIWQgghHIgUsxBCCOFApJiFEEIIB9Ll7mO+FKvVyqJFi8jOzkan07FkyRIiIyPtHeuqHTlyhD/84Q+8//77FBYW8uyzz6JSqYiPj+ell15Cre46n61MJhPPPfccJSUlGI1GHnnkEeLi4rr0mAAsFgsvvPAC+fn5qFQqXn75ZZydnbv8uABqampIT0/nr3/9K05OTt1iTLNmzcJgMAAQFhbGnDlzWLp0KRqNhlGjRvHYY4/ZOeGVe+utt8jIyMBkMnHnnXeSmpraLd6rHkvpZr755hvlmWeeURRFUQ4dOqTMmzfPzomu3l/+8hdl+vTpyh133KEoiqI8/PDDyu7duxVFUZQXX3xR2bBhgz3jXbGPPvpIWbJkiaIoilJXV6ekpaV1+TEpiqJs3LhRefbZZxVFUZTdu3cr8+bN6xbjMhqNyvz585VJkyYpeXl53WJM7e3tysyZM8957JZbblEKCwsVq9WqPPjgg8rx48ftlO7q7N69W3n44YcVi8WiNDc3KytXruwW71VP1u0+Qh04cIDRo0cDkJKSQlZWlp0TXb2IiAhWrVrV+fXx48dJTU0FYMyYMezcudNe0a7KlClT+PWvfw2AoihoNJouPyaAiRMn8sorrwBQWlqKh4dHtxjXihUrmDt3LgEBAUDX//sDOHnyJG1tbdx///3ce++97Nu3D6PRSEREBCqVilGjRnW5cWVmZpKQkMCjjz7KvHnzGDt2bLd4r3qyblfMzc3NnYepADQaDWaz2Y6Jrt7kyZNxcvrxbIOiKKhUKgDc3NxoamqyV7Sr4ubmhsFgoLm5mccff5zf/OY3XX5MP3BycuKZZ57hlVdeYcaMGV1+XJ988gk+Pj6dH3Kh6//9Aej1eh544AHeffddXn75ZRYuXIiLi0vn811xXHV1dWRlZfH666/z8ssvs2DBgm7xXvVk3e4cs8FgoKWlpfNrq9V6Trl1ZT89R9TS0oKHh4cd01ydsrIyHn30Ue666y5mzJjB73//+87nuuqYfrBixQoWLFjA7Nmz6ejo6Hy8K47r448/RqVSsWvXLk6cOMEzzzxDbW1t5/NdcUwA0dHRREZGolKpiI6Oxt3dnfr6+s7nu+K4vLy8iImJQafTERMTg7OzM+Xl5Z3Pd8Ux9XTdbo954MCBbNu2DYDDhw+TkJBg50TXT+/evdmzZw8A27ZtY/DgwXZOdGWqq6u5//77efrpp7n99tuBrj8mgE8//ZS33noLABcXF1QqFcnJyV16XB988AFr1qzh/fffJykpiRUrVjBmzJguPSaAjz76iOXLlwNQUVFBW1sbrq6uFBUVoSgKmZmZXW5cgwYNYvv27SiK0jmm4cOHd/n3qifrdotY/HBVdk5ODoqisGzZMmJjY+0d66oVFxfz5JNPsm7dOvLz83nxxRcxmUzExMSwZMkSNBqNvSNetiVLlvD1118TExPT+djzzz/PkiVLuuyYAFpbW1m4cCHV1dWYzWYeeughYmNju/R79VP33HMPixYtQq1Wd/kxGY1GFi5cSGlpKSqVigULFqBWq1m2bBkWi4VRo0bxxBNP2DvmFfvd737Hnj17UBSFJ554grCwsC7/XvVk3a6YhRBCiK6s2x3KFkIIIboyKWYhhBDCgUgxCyGEEA5EilkIIYRwIFLMQgghhAORYhZCCCEciBSzEEII4UCkmIW4Rh9++CGJiYmcOnWq87Gbb76ZM2fO2DGVEKKrkmIW4hrl5OSQlJTEli1bAOjo6KCmpoawsDD7BhNCdElSzEJco+zsbB566KHOYs7LyyMmJqZzdR8hhLgSUsxCXKO8vDwmTJhAbW0tTU1N5OTkdKvFU4QQN5YUsxDXoKysDC8vL/R6PSNGjGD79u1kZ2eTmJho72hCiC5KilmIa5CTk9NZwmlpaWzduvWcx4QQ4kpJMQtxDbKzszsPW6emprJv375zHhNCiCslxSzENfhpCet0OhITE9FqtXh4eNg5mRCiq5L1mIUQQggHInvMQgghhAORYhZCCCEciBSzEEII4UCkmIUQQggHIsUshBBCOBApZiGEEMKBSDELIYQQDuT/A8p1MejmavYjAAAAAElFTkSuQmCC
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<p>As long as crossover events at a locus remain independent of crossover events at other loci, the $0.5$ upper bound on recombination frequency holds up. If there is a bias towards forming chiasmata with a single non-sister chromatid, then the $\theta$-$N$ curve shifts downward.</p>

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<h2 id="Introducing-Recombination-Hotspots">Introducing Recombination Hotspots<a class="anchor-link" href="#Introducing-Recombination-Hotspots">&#182;</a></h2>
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<p>Let's introduce a single recombination hotspot between the genes.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">N</span> <span class="o">=</span> <span class="mi">10</span>
<span class="n">p</span> <span class="o">=</span> <span class="mf">0.1</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">N</span><span class="p">);</span> <span class="n">p</span><span class="p">[</span><span class="nb">int</span><span class="p">(</span><span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="p">)]</span> <span class="o">=</span> <span class="mf">0.7</span>
<span class="n">mei</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="mf">1e4</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">rf</span> <span class="o">=</span> <span class="n">test_cross</span><span class="p">(</span><span class="n">mei</span><span class="p">,</span><span class="n">N</span><span class="p">,</span><span class="n">p</span><span class="p">);</span> <span class="n">rf</span>
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<pre>0.52255</pre>
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<p>Notice how $\theta&gt;0.5$ for $10^4$ rounds of meiosis.</p>

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<h3 id="How-does-$\theta$-vary-with-$N$-in-the-presence-of-a-hotspot?">How does $\theta$ vary with $N$ in the presence of a hotspot?<a class="anchor-link" href="#How-does-$\theta$-vary-with-$N$-in-the-presence-of-a-hotspot?">&#182;</a></h3>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">N_v</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="mi">1</span><span class="p">,</span><span class="mi">80</span><span class="p">,</span><span class="mi">1</span><span class="p">);</span> <span class="n">p0</span> <span class="o">=</span> <span class="mf">0.1</span><span class="p">;</span> <span class="n">mei</span> <span class="o">=</span> <span class="mi">500</span>
<span class="n">rf_v</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">np</span><span class="o">.</span><span class="n">shape</span><span class="p">(</span><span class="n">N_v</span><span class="p">))</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">n</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">N_v</span><span class="p">):</span>
    <span class="n">p_i</span> <span class="o">=</span> <span class="n">p0</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">n</span><span class="p">);</span> <span class="n">p_i</span><span class="p">[</span><span class="nb">int</span><span class="p">(</span><span class="n">n</span><span class="o">/</span><span class="mi">2</span><span class="p">)]</span> <span class="o">=</span> <span class="mf">0.7</span>
    <span class="n">rf_v</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">test_cross</span><span class="p">(</span><span class="n">mei</span><span class="p">,</span><span class="n">n</span><span class="p">,</span><span class="n">p_i</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="p">[</span><span class="mf">0.5</span><span class="p">,</span><span class="mf">0.5</span><span class="p">])</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">N_v</span><span class="p">,</span><span class="n">rf_v</span><span class="p">);</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;$N$&quot;</span><span class="p">);</span> <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="sa">r</span><span class="s2">&quot;$\theta$&quot;</span><span class="p">);</span>
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<p>For a single recombination hotspot between 2 genes, $\theta$ lies close to the probability of crossover at the recombination hotspot for low values of $N$ and tends to $0.5$ for high values of $N$. Therefore, if the probability of crossover is greater than $0.5$ at the recombination hotspot, we can get $\theta &gt; 0.5$ in experimental crosses but only if the genes are located close to the recombination hotspot.</p>

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<h3 id="How-does-$\theta$-vary-with-the-number-of-recombination-hotspots-$(\eta)$?">How does $\theta$ vary with the number of recombination hotspots $(\eta)$?<a class="anchor-link" href="#How-does-$\theta$-vary-with-the-number-of-recombination-hotspots-$(\eta)$?">&#182;</a></h3><p>We need to choose a value of $N$ for which the effect of a recombination hotspot would be visible, say $N = 10$ based on the previous plot.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">M</span> <span class="o">=</span> <span class="mi">10</span> <span class="c1">#number of simulations to cancel out the noise</span>
<span class="n">rf_v</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">N0</span><span class="p">,</span><span class="n">M</span><span class="p">])</span>
<span class="n">N0</span> <span class="o">=</span> <span class="mi">10</span><span class="p">;</span> <span class="n">p0</span> <span class="o">=</span> <span class="mf">0.1</span><span class="p">;</span> <span class="n">mei</span> <span class="o">=</span> <span class="mi">1000</span>
<span class="n">eta</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="mi">0</span><span class="p">,</span><span class="n">N0</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">M</span><span class="p">):</span>
    <span class="n">p_i</span> <span class="o">=</span> <span class="n">p0</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="n">N0</span><span class="p">)</span>
    <span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">et</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">eta</span><span class="p">):</span>
        <span class="n">number</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">randint</span><span class="p">(</span><span class="n">N0</span><span class="p">,</span><span class="n">size</span><span class="o">=</span><span class="n">et</span><span class="p">)</span>
        <span class="n">p_i</span><span class="p">[</span><span class="n">number</span><span class="p">]</span> <span class="o">=</span> <span class="mf">0.7</span>
        <span class="n">rf_v</span><span class="p">[</span><span class="n">i</span><span class="p">,</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="n">test_cross</span><span class="p">(</span><span class="n">mei</span><span class="p">,</span><span class="n">N0</span><span class="p">,</span><span class="n">p_i</span><span class="p">,</span><span class="n">alpha</span><span class="o">=</span><span class="p">[</span><span class="mf">0.5</span><span class="p">,</span><span class="mf">0.5</span><span class="p">])</span>
<span class="n">rf_v</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ravel</span><span class="p">(</span><span class="n">rf_v</span><span class="p">,</span><span class="n">order</span><span class="o">=</span><span class="s1">&#39;F&#39;</span><span class="p">)</span>
<span class="n">eta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="nb">list</span><span class="p">(</span><span class="n">eta</span><span class="p">)</span><span class="o">*</span><span class="n">M</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">## HIDDEN</span>
<span class="n">sns</span><span class="o">.</span><span class="n">lineplot</span><span class="p">(</span><span class="n">eta</span><span class="p">,</span><span class="n">rf_v</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;$\eta$&quot;</span><span class="p">);</span> <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="sa">r</span><span class="s2">&quot;$\theta$&quot;</span><span class="p">);</span>
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bnakxEKplUzAP3B/74MFPin3W+M+7qw30fWsDg+KKU1hBAeCYc6MyyHY4NFcoZdKZsRu8iyGefTFNRZ0BJi+IyifMmmALdcu4jdRwZ4tXdw3NfGQ36O9GXJG7UL54QQs4+EQ50VTJvu1OhgtGE7dQsHgCWtXlmNM7uIfu+/LWJuc4BHnj86bveRpir4NZXXT2WltIYYV96wSOUMmd02S0g41FnBsOgcyKEqsDQRBiB4iSujzyXk11jSFmbojP2m/T6VP7yhne5Unv/45YlxX9sU1BnIGXT252T1tAC8si/H0nl++sYAP3kjxS96B3npSD8HT2YYzBtSAn4Gq/tmP7PdUMGkN1VgUUuYgE8jW7ImdabSeBbGw/SmC1i2U7U/9XXLWll5RZxHf9LFjSuS417BtIb9dKXydKfyLGoJs7AlNOmD52J6K5o2qazB8aGCN8FBgWjAR1vE20TKcV1SWYOTQ0V8qsLClhCJaIBoYHIWdorpQa4c6mwob9KVytOejGDZDgGfWilfUS9+n0pHIsrgGUX5RuouFU2HnS+PX3dJUxXaIgFiIT/Hhwr8+MgAh05majYXEjNL0bQ5OVRgT1eal48OcPj0MK4LbdEAbZEAAd/oBwRVUWgK6rRFAkT8PnpTBX7WmeInb6ToTeelJPwMIVcOdWTZDicyRVI5g45ElJJ1aWW6L8TcWJCulNc9NPY/9hWtYd7/1vk89epx3vuWeVw5Z/x9pTVVIR7y47gufcMGxwcLzGkOckVrmGbZanRGKFk2gzmD40NFBvMmquLNXBu5QpgIn6YSD3ur/Q3L4cjpLK+7WeJhnYXxEPGw/4I3tBLTg4RDHRXM0TLdHckIhu0QD05O2Yzz0VSFK+dE2X88UxUOAB94+2KeO9zHI88f4cH/+bZzdgWoikIspOO6PjJ5iz2ZFC1hP0vaIsTDunQjXGZKls1Q3uTEUIFUzkRRIKz7SEQnHghn4/eptPq89ykYNq8dz6Aq3my5ebEQsZBelyncoj4kHOrIm6nkVT5dloxiWDbhwNT13yeiAZqCPvKGRXjM3hGRgI/N1y/h//s/v+a5w328601zzvteiqIQDfqI4r3fq71pIn4fSxMR2iIBVPlPP20ZlsNQwQuEgZxRWaHfFvHXLdxDfo2QX8N1XYYKFqeHB/GpCvNiQeY0B2mS8YlpT8KhjobyJj2pAnObvcG6lGVP6eCuoihcmYyytztdFQ4Aa66ey3/sP8mO3Z28fVlrzfFzCft9hP0+iqbN/mMZgrpKeyJCWzRQNQAuGse0vUA4OVSkP+tt7BTSNdrC9QuE8SiKQjTgIxrwYTsuJ4dK9KYLBHwqC+MhEk2BC/rdE1NHfip1NFQw6RrI056IYjsuqqpc8h4OFyoe9pOIBhgumjSNGStQFYW7bmznE//2C/71Z73c8d+XXvB7B3WNoK5hWA4HTg7jU7MsTUSY0xSUfuYGsMqBcCpT5HR5p7+gT6N1igPhbDRVqcyQM22HzoE8R/tzRAM+rmgJEY/4a7pApzPLdnBcGPnWjnyHFUUZc5tp8b2/GBIOdWI7LqeHi5zMFPntN8/FsByag43po29PRvnpGwNE3epL+avmNfOeq+bw5L5jrH3zXBbEQxf1/n6fSpsvgGl7A5JH+3Isbg0zLxaUabB1ZtkOmaLFyaEifdkiruttAtUS9qNO45OSrqm0lAeyi6bNgZPDuEAi4mdB3BufaORVqOO4GLaDaTuYtoth2eQNm6JpUzAcCqaF5bgoCpy5ZnTsYyO3FUZDxPu5KCiKt+mXUn7iyL92pItWQUFRR187EjmqOvpcRQVNUViaiEx6sEo41EnBtOlJebWKOhJe2Yx5sUsf9LsY0YCPhS0hTmdKxM7YR+KO65fy4yMDbH/xKFvf/5ZL+jq6ptIaCWA7Lt2pPJ0DORa1hFgQD0nXwSSyHZdMweTUcJHTmRKO6xLQNOKh6R0IZzNyBeq6LrmSzS+PDaEq3vjE3KYgTUHfpI5pue7Iid/FtBxMx6FoeCf/vGlTMGxM20FBwcU7yyuApqromoJPVYkGLnxw3XVH3q06UMY+zpjjLi6uM/a5buXxsbIliwXxkITD5aJo2pUtOtuTUWzXJRJo3Ld7cWuE44NFbMet+qVujfjZ+FtXsOOlTn7WmeI3l7Ze8tfSVIWWsDcN9uRQkd50gbnNQRa1hKq6ti4HtuPijPmffLbTwdmuCM/+/LN/zfHey3ZchoujXUa24+LXVGIh/bIMhPEo5QrBkfL4RF+mxPHBPLqmsSgeoq3JG7s7F9d1sRzX+8RveSFQNG0Kpk3esCiaDiXLHv1kD7iAT1XRVAWfqhDx++oyq2psd1P1L8alfa3COHu1TAYJhzrJFEy6UwXiYZ3WiJ9UrkSojmUzzieoayxri9CZytEarr6C+d3fWMD//tUpvvnCUX7jivikLdLzpsH6ccsrak8MFWmL+lnaGqF5krZJnQwjnyRLlkPJdMiVLIZLFtmiSckav47QSMvHKx4xXleD9xql5lPfyPO9dpz/6+iqStNFfGq93GiqQnNIB3Qs26E7PTI+obEwHiYS9GHaDobpkDctCqZDoWRRtGxvHKD8Pi7e76Guqvg0hYCmEta1afO7N51JONTJYMGku7xntOu6KIpCsMGDbQtaQvSk85i2UxUAuqbyR6vb+cL3X+P7rx5n/apFk/p1FWXkP7p3CbynO00spLMsEaFlCtdK2I5LybIpmQ4FwyZrWAwXLHKGWTkxj3yK1DXv5xUNXF5XOvWQK1n8oneQV3uHAJjTFCDZFGBOU5BkU4B4uL5XLz5NrWyrW7JsDp8ernziV1HwaQqaqqBrKnE58U8aCYc6cBzvk3JvOs87lrVi2A4R/+T2m14MXVPpSEY5dGq4ZhXstUtaePvSVr790x7mNAf5zSUtdRlMHpnWmDcsXu0ZJOzXWFaeBjsZn4YnehWg4FWh1X3e1c1M6ZqZDI7r8uvTWX7enWZv9yAHT2ZwXG8qrKpCrlTdjaFrCologDljAsMLD+9+W9Q/aVejAZ92Wc1oupxJONRB0bLpTedxXOhIRimZDnMbNBh9pjnNQbpSeYpm7ZqLLauX8dl/38+DTx8kqKu8fWkrNyxPcu3ilkmfmjp2rcSvTmTw+1SWtUVINk1srcTYq4CiaTNc8q4C8oaFPaZ/Rq4CJiaVMyphsK8nTaa8o2BHMsL/XLWIVYtbuGpeEz5NJW9YnM6U6MuWOD1com/YGwc5nSmxpytNKl9dEVjB26lwTjkwkk3BMbe9PzJhYfqRn0gdFAybzvJgdEcyiuk4NbOEGkVTFa5MRvjlsUxNOMyPhdi++Td57fgQL7zez0tH+nn+9X7Cfo13LGtl9fIkKydxTAJGZ6qYtsOhU8Mc6cuWp8GG0DXlnFcBo5/1R68CmmfQAG09mbbDr45n2NudZm93ms5ymZd4WOfaJS2sWtzCyivilbpJY4X9PpYmvNXxZ3vv/pHgyJQ4PVysBMnrp7O8dGQA64xS39GAryosxl6FzGkKEAtJqZapJuFQB8NFi55UgYhfY25zgFTeIKhPn0VhbdEAzaHashrghcfbFsV526I4f3xTB6/2DvLi6/28dLSfZw/1EQ34uL69jRuWJ3jbwtikzUXXNZW2SADLdjjan+ON/hyqqlRtTCRXARfPdV2ODxYrYfDLY0OULAefqvDm+c3ccf1SVi2OszQRueRw1TWV+bEQ82Pjr5txXJd0zqBvuBwg5eA4nSlycqjIL3qHambg+DW1EhzJpgAhXatMK/Vp3niDT1XwaaPTTb2/y8fKx73bStVt/Yz30FRFgggJh7oYKhh0p/IsS0Qqv2T13sPhQnhlNZrY05065+W8piqsWux9ivzIuzrY1zPIC6/38eKv+/nRgVM0BX38944Eq5cnuGZBbFLGDHzlkBiZPipXARdvZFxnb/cge7vTlVXT82NBfvvquaxaHOetC+NTPotOVRSvFHg0wFXza4+PrHfoy452V410X/VlS+zpzFOybG+dgu2MO2PsUihQDpDq0NDPCBi/phIOaET83jhaNOjzbge9+5Hy+FrErxEN+i67sRIJh0nmui7p8h4O733LPEzbIahr067mUCysM6cpwFDerMwkOhddU/mtpa381tJWDMthb3eaF17v57nDp/nhayeJh3XeWQ6Kq+c3X/JJXULhwjmuy5HTWfb2DPLz7jQHTowOJL9tUawydjAvFmx0U8+pUuQxGGVZYvyS8mPZ5XUNluNilRe3WY6DZY8+btrl++XHRx878/jobct2MMvvOfa1I+9pWA4nBovkDItsyVtDcS66powJjLOHyNjHRm6H/dqU/5+oezg4jsMXvvAFDh06hN/vZ9u2bSxZsqRyfNu2bezdu5dIxOu/fPjhhzFNkz//8z+nWCwyZ84cvvzlLxMKXVxph6lWshyOpQsYluMNRlsOLVO0h8OFWpaI8pM3Ujiue0G/eH6fynXtbVzX3kbRtNnTleaF1/v40YFT/K9fnqAt4uedV3pB8aa5TXKJXkcXMpA8U2mqgqY2/lO5ZTvkDJts0fICY+TvklX1WNawyZUshvImxwcLlWPn2nFVAcIBrSowRv5eEAty7ZKWSf/31D0cnnnmGQzDYNeuXezbt48HHniAr33ta5Xjr732Gtu3b6e1dXRl7rZt23j/+9/P+vXreeSRR9i1axd33nlnvZs6KQqGTVdqZDA6gmHZxMPhBrdqfJGAj0UtIU4OFccdeJyIoK7xzisTvPPKBAXD5iedKV54vY//+OUJnnr1OMmmADdcmWD1lQmunBOdtkFRMGxOZgqcGCqO+VNguGh5g+Y+laCuEdI1gn6NkK5WBtNDukbApxLyj973jqmV25M1iG/aDr86keHn3Wn2dF3YQLKoL5+mEgup426/ez6u61Iw7doQKVpkywFTuV20yBk2PekCuaJFV1N9ftZ1D4c9e/awevVqAFauXMn+/fsrxxzHoauri61bt9Lf38+GDRvYsGEDe/bs4a677gLgxhtv5Ctf+cplEw7ZkkX3QAG/prKoJcxgwSCkT9/euytawxwfLNSU1bgYIb/GTSuS3LQiSa5k8cobA7zwej9PvXqcf//5MebHgl5QLE+wtC0y5UExXDSrTvwnBoucyHi3B/PVW6o2B33Mj4VIRP2ULIecYTGQMyqlGIqm1+c9UZqqVIXFaIioZ9yvDpWQrhHQVU6UB5PHDiRfPckDyaJxFEWpTO++UAO5Uh1aNAXhkM1miUZH+w01TcOyLHw+H/l8nttvv50PfvCD2LbN5s2bueaaa8hmszQ1NQEQiUQYHh6udzMnzWDBpCedZ0lbuHKyDfqn7yV9UPcWob3Rn6P1AraHPJ9IwMd7rprLe66ay3DR5OWjXlB8d28v/7qnl4XxEKuXJ1i9PMni1sm5shoZ7znzxD8SBmcu3mqL+JkfC/JbS1qZHwsyLxYsz7IJTqgOlmU7FC1vnYX3x6kEx9gQKZpO1f2COfqaVM6oed3ZuhcaPZDcKCP1kmzHrfT9AwR8KgGfNuNLiTRK3cMhGo2Sy+Uq9x3HwefzvmwoFGLz5s2V8YTrrruOgwcPVl4TDAbJ5XI0NzfXu5mTZjBXonMgx+ork9iOi66p036Wwvx4iO5xympMlqagzto3z2Ptm+cxVDB56Ug/L77ez3d+1sO3f9rDktYwNyxPsPrKJAtbzj22ZDsufdkSJ4eqT/wny1cEY1dBqwrMaQoyPxZk+fIkC2KhcgB4QXCpPxefphLV1PMWg7sQIyu8i2MCpGDYxMP+aT+QfDFct3zSH3Pid1y3qjaSongro0O6RiysVWb+DRZMhvIGtuNVrFJQyoGhzugxlqlS93BYtWoVzz77LDfffDP79u1jxYoVlWOdnZ187GMf48knn8RxHPbu3cvv/d7vsWrVKp577jnWr1/P888/z7XXXlvvZk6KomlzKlMiV7JpT3pluicyE6jRdE3lykSUg+OU1ZhssZDO+66Zz/uumU86Z7D7SD8vvN7Po6908+gr3bQnItywPMHKRXEGy1tbVrqCBgucHi5VLaDSNYV5zd4n/rctirMgFmRe+dP/nAmutp5OFEWplIi4mL7r6eTME7/lONgTOPEHy2sYdE0t/xl/3cEV5b9HQjRXshjMmwwVTIyiWXxn5hYAABkOSURBVPk6fp83JlSPDz4zWd3DYe3atezevZuNGzfiui73338/O3bsYPHixaxZs4Z169Zxyy23oOs669atY/ny5XzkIx/hU5/6FN/5zndoaWnhb/7mb+rdzElRNKtXRpcshwXxy+M/+LnKatRLS8TP+9+2gPe/bQED2RIv/toLin/5cRf/QlfleSFdY34syLJEhOs7EsyPBSsh0BaVukiNUO8T/4UYGbOJh/0sLE/aMSyvq65geIExWDDJFEfHlQKaN5YjgXF2iuuOVyj48rN+/XqeeOKJhrbhWDrPg08f4ge/OM537rqebMniNxbFaYlcHjNHUjmDV3vSJKKN7b44nSly6NQwyWiAebGglE5oMKvczVWyR8dsxp74Q/76nfgnk2mXA6NkMVS0GMwZ5MesxNZVlYCu4tfUadXu8xnIlbh2SctF75VytnPn9J1GcxkaKpj0pPJc0RIm4NPIlazLapvMlrBOPOxnMG8QDfga1iUzpznInOaZ179+uTBtr6S56Tjggu5TSUT9tEQihP0+r47VNDvxT8RIaDUHdebGvMdGJhUUDJuhgsFQ3iKdNxnZb82nqpVxjMvt33upJBwm0VDBpHMgx8or4pWFZdOpptL5KIrCm+Y10T2QJ503KJX7bUf2ogjo6qzqwnFcbxXsyF4BM5HrupTKM66c8naVIV1jbixAS9hPJOC7rD7gXKixkwqSTd54m+24ldllmYLXJTVYMHHKuwhpI+NCM/z/g4TDJDEsh9PDJdJ5k/ZkFMNyiASnz25nExX2+7hqvjc7rGTZ5Es22ZJFKlciUzArJxBd9ebnT3Yp70Yxy9VfTdthpKdVVb1yB4blVPVXqyjoI7NiLrMibY7rUipvlTlS2rwpoHNFa5hYSCcS8M2Yn+nF0tTR7UoTUS8wHMelaHkzx7JFi8GCQaZoYjvumK0/FW9jL+/OmP2nFRTFKwmjKt6HLbV8f/Tx0WPThYTDJCmYNt3l1aodiYg3GN3gvvtLNTJrpiXi54rWMI7jlvfi9S7BU1mD/lz56qL8/KA+veedj1wNlCwH07EZ2dU3qGu0hHWagzrhgPfvGNuVMLJ/RNF0KBgWQ0WTbMFiuOiUd/oDUPD71GnV7TLyKbhoeX3r3tatOgtagjQFdSL+6Vf3azpS1dFFam3RAEuIVNZfOK6L647uN+64Xpg4rotdPlap1+Q42A6Vmk4jNZws1/t77BoXpbLf3aix99Ry6FgXsBjzQkg4TJKCYdFVnqm0LBm9bKaxXgh1zCeqZFMA5ni/9PnyMv903iCdN7Fsp3L5feZJdiqdeTXguqBpCk1BH21R7+QY8nulMc53gtQqJwcg4mdh+XHHGe2WKRg2maJJtmSRLnhbj1amU2oauk+p+2DnyOBx0bZQXAVNU2iL+FkaCRMN6oR1reE7Es4UiqKga5P7vXTL4WKPDR23fNsZve2UFwWa5UCpx1oqCYdJMpg36UkXmNccJBrwUbKmbkpoI+lj6sksaAlV+rDzhtdfmyoHhls+U9ZjCuG5rgbiYZ3YWa4GJoOqKt5sHb9GSwQW4C3ic5yRxWzeHPxM0dupbrBg4LreJ0IXylcZKn7fxfVfj0zZtBxv8yO/T6WtKUBLOEok4M0img5XMGJiFEVBU5gWV98SDpNksGDSNZCnPRmp9FlPpz0cpopSvloI6hqtET9LiWBXuqO8OeepnMFQ0USlvKpVn3gZBNN2KkFQnk2PqnJRVwP1pKoKQVWrfECYV54dMxKe3vamlhcaJYtMsTzgCZUxHX954dbI92XktYUxg8dRv7cGJB7WZ/zgsZhaEg6TwLQdBnIlTmaK/Pab52LaLhH/9O57n0qaqlRKDc9p8sZhjPL0weGSSTpvMpg3cJzR6YNBXcV1vRLoljNaEiOoazSHfcSD/rpdDdTT2PCMMTqlshIaljdYnCmY5VLPprci3AVF9UqRLG0O0xzSvWmls3zwWNSPhMMkKJg2PanyYHQygmE5tNWpjO5M4fd5n4xjYZ1FLd7JsWg65A2LoYJJOmeiaVSuBkYqlc7UwdOxoQF6JUSByq5njb4aErOLhMMkKJo2XZWZSlFKtk0sKN/aC6Eoo333bdEAJBvdounDmzXW6FaI2UY+hkyCobxJb7pAS1ivlMoIXkRddiGEmC4kHCbBUGUwenTfitk4GC2EmDkkHC6R7bikcga96TwdySiW7RAo96cLIcTlSs5gl6hg2vSm8zgutCciGLZD80VWRxRCiOlCwuESFQyb7spMpSgl0yEelnAQQlzeJBwu0VDBoDtVIOLXmNscwMGd0P7DQggxnUk4XKKhgkV3yhuMVhQFBUVWqQohLnsSDpfAcVwyBZPugTztiYi3h4MKARmMFkJc5s7b/9Hb28ujjz5KT08PsViMq6++mne/+90sXLjwfC+d8YqWzfHBAobt0F4eb2i6DPdwEEKIM533I+6f/Mmf0N7ezh/8wR/w0ksvcfDgQW6//Xa++MUvYhjGVLRx2ioYNp3lMt0dSW+mUjwkZTOEEJe/84aD4zj8/u//Ptdffz2xWIxt27bxox/9iIULF/K5z31uKto4bQ0XLXpSBfyayqKWMJbjXTkIIcTl7rzhcP311/Otb30LGN3CzufzsWXLFvbt21ff1k1zgwWDnnSepYlwpQKrDEYLIWaC837M/cxnPsM3vvEN1q9fz+nTp9m1axfBYJB9+/YRj8enoo3Tkuu6ZPImnf05Vi9PlveOVaRshhBiRjhvOKiqykc+8hHuvPNOXnrpJQ4cOEAmk2H58uV8/OMfn4o2TktF0+HUcJGcYdORjGLYDtGAT7ZgFELMCBPuIA+FQqxZs4Y1a9bUsz2XjYJp01ku091e3sMh2RRocKuEEGJyyIT8i5QreYPRqgJL27yZSjEpmyGEmCEkHC5SOm/Qk8pzRUu4UoFVxhuEEDOFhMNFcF1vZXTnQI6OMXs4yEwlIcRMIeFwEUqWw0DWIJ03aU9GMG2HoK6hy/6+QogZQs5mF6Fo2nSlvJXR7ckoJcuhOSSL34QQM4eEw0XIlSy6BwqAt8GPaTvEg1I2Qwgxc0g4XITBvElPOs/8WJBIwIfryh4OQoiZRcLhIgwWTDrLZboBXCCgy7dSCDFz1P2M5jgOW7du5dZbb2XTpk10dXWN+5wtW7bw+OOPAzA8PMyWLVu47bbbuPPOO+nr66t3MyesZNkM5g1OZYq0J6PYjotPVWQPByHEjFL3M9ozzzyDYRjs2rWLe++9lwceeKDmOQ899BCZTKZy/4knnmDFihU89thj3HzzzfzjP/5jvZs5YUXDoSc9ujK6ZNk0h3TZw0EIMaPUPRz27NnD6tWrAVi5ciX79++vOv7000+jKErlOQArVqwgl/NmA2WzWXy+6dOfXzAtusplMzqSUQzLIR6SldFCiJml7uGQzWaJRkcXimmahmVZABw+fJgf/OAH3HPPPVWvaWlpYffu3ZWrhg0bNtS7mRM2mDfpTRVoDftpCfuxXZdoUMJBCDGz1P0jeTQarVwFgDe+MHIl8OSTT3Lq1CnuuOMOjh07hq7rLFy4kO985zts2bKFjRs3cvDgQT760Y/y/e9/v95NnZDBgklXKk970huMxoWgDEYLIWaYuofDqlWrePbZZ7n55pvZt28fK1asqBz75Cc/Wbn91a9+lUQiwY033sjTTz9NU1MTAG1tbVXh0kim7ZApmPSm81zX3obruqiqQtAnZTOEEDNL3cNh7dq17N69m40bN+K6Lvfffz87duxg8eLFZy3/fc899/AXf/EXPPbYY1iWxZe+9KV6N3NCCqZNbzqP43p7Rpcsh2hQ9nAQQsw8dQ8HVVW57777qh7r6Oioed5HP/rRyu25c+fyzW9+s95Nu2CF0uhgdHt5MHpuRPZwEELMPNJZfgGGiha96QKRgMbcpgCm4xALSdkMIcTMI+FwAYbyBt2pPO2JaGVdQ8gv4w1CiJlHwmGCLNthuNyt1DEyUwkIyspoIcQMJGe2CSpaDscHCxi2Q3syimk7hHUNn+zhIISYgeTMNkEFwx4djE5EKJmyZ7QQYuaScJigoYJBb6qA36eyqCWMYdvEpGyGEGKGknCYoKG8RVcqz7K2CJo6Mhg9fWo+CSHEZJJwmADHcRkumnQN5CplMxwpmyGEmMHk7DYBBdOmL1skZ9i0J7w9HPw+lYCUzRBCzFASDhNQMG06+0fKdHt7OEiZbiHETCbhMAHDRZOedAFVgSVtXk2lZgkHIcQMJuEwAYN5k55UnsWtYfw+Fdd1iQZkMFoIMXNJOJyH67pkixadAznaE96mRS5SNkMIMbNJOJxH0XRI5Uqk8yYdcyI4roumKASkbIYQYgaTM9x5FEybzsrKaK9Md1PIVym8J4QQM5GEw3lkiyY9qQIA7eUNfpplz2ghxAwn4XAe6bxJTzrP/FiQsN+H5chMJSHEzCfhcA6u65Ipmt5gdNIbjFaAkC6D0UKImU3C4RxKlkMmb3IqU6IjEcF1XVwgKOEghJjhJBzOoWDYdKdH94w2bW99w0jhPSGEmKkkHM4hZ1hnDEZLmW4hxOwg4XAOQ+WV0a0RPy1hP4bt0ByUldFCiJlPwuEcBgsmXak87YnRPaNDUjZDCDELSDicRcmyyZUsetN5OpJjymbIYLQQYhaQcDiLouHQm87juN54g2U7BH0quibfMiHEzCdnurPIlSy6y4PRHckoJcshFpbBaCHE7CDhcBaDRYOeVJ5owMecpoAXDlI2QwgxS0g4nEUmb1UGo70iey4RGYwWQswSEg7jMG2HrGHSNZCjPTk6U0lWRgshZgsJh3EUTJsTg0VM26UjGcV2XFRV9nAQQswecrYbR6Fk0Z0aLZthlMt0yx4OQojZQsJhHENFi950Ab9PZWE8RMmyiUvZDCHELCLhMI7BnEF3Ks+ytgiaqmC7LlEpmyGEmEUkHM5g2Q5Zw+KN/tHBaAUI+WUwWggxe9Q9HBzHYevWrdx6661s2rSJrq6ucZ+zZcsWHn/8cQBs22bbtm1s3LiR9evX8+yzz9a7mRUF06Z/uETesOlIRnFdF1AI+iQchBCzR937Sp555hkMw2DXrl3s27ePBx54gK997WtVz3nooYfIZDKV+9/73vewLItvf/vbnDp1iv/8z/+sdzMrCqZN18hgdCKCYTtEAz5U2cNBCDGL1D0c9uzZw+rVqwFYuXIl+/fvrzr+9NNPoyhK5TkAL774IsuXL+fDH/4wruvyuc99rt7NrMgUTHpTBTRVYUlbhKJpMzcWmLKvL4QQ00Hdu5Wy2SzRaLRyX9M0LMsC4PDhw/zgBz/gnnvuqXpNOp2mu7ubb3zjG/zRH/0Rn/nMZ+rdzIrBvFem+4qWEH6fiuU4NMtMJSHELFP3K4doNEoul6vcdxwHn8/7sk8++SSnTp3ijjvu4NixY+i6zsKFC4nH47zrXe9CURTe/va309nZWe9mAmA7LrmSTWd/jlVLWgAp0y2EmJ3qHg6rVq3i2Wef5eabb2bfvn2sWLGicuyTn/xk5fZXv/pVEokEN954I93d3Tz33HP8zu/8DgcPHmT+/Pn1biYARdNmMF9isGDSIWUzhBCzWN3DYe3atezevZuNGzfiui73338/O3bsYPHixaxZs2bc19xyyy18/vOf55ZbbsF1Xb74xS/Wu5mANxjdOeANRncko5i2Q1DXZA8HIcSsU/dwUFWV++67r+qxjo6Omud99KMfrdz2+/18+ctfrnfTamQKJj3lPRyWJSKULIcW2cNBCDELyUfiMQYLJj3pPPNjQcJ+H4ZlE5PBaCHELCThUOY4LtmiRedAjvbk6OyqsF/KZgghZh8Jh7KiZTNcMDmVKVUGo10g6JdvkRBi9pEzX1nBsOlOlwejE94eDj5VJSBlM4QQs5CEQ1muZNFT2cMhQsmyiclgtBBilpJwKEvnvZlKrRE/8bCfkuXIHg5CiFlLwgFwXZdM0SubMTLe4LgukYAMRgshZicJB6BkORQMm950vjJTSUHKZgghZi8JB6gEg+NCRyKC47ooikLAJ98eIcTsJGc/IFuy6C6vjG5PRjEsh2hQ9nAQQsxeEg6UV0an8kQDPuY0BWQwWggx60k44NVU6hrI056MoCgKpmPTFJRwEELMXrM+HCzboWBadKVytCdGBqMVQn4ZjBZCzF6zPhwATgwWMW23Mo1VUSAog9FCiFlMzoBA1xl7OIR8Gj7Zw0EIMYvJGRDoSuUJ+FQWxEOUTId4xN/oJgkhRENJOADdA3mWtkXQVIWSbRMLyspoIcTsNuvDwXFculPeTCXwVkYHZQ8HIcQsN+vDoTudp2DadJTLZrhI2QwhhJj14fCr4xnAG4y2bAddU/HLTCUhxCw368+CvzqRQVMUlrSFMWxZGS2EECDhwK+OZ1jQEkTXVG+mkmzwI4QQzPqR1/ZklPmxIAAOLmEZjBZCCAmHv/gfV/Pir/sBKZshhBAjZn230gjHdVFVZA8HIYRAwqHCsByagj4URfZwEEIICYcybw8HKZshhBAg4VBhOd7ub0IIISQcKhRkZbQQQoyQcMArmQEKQQkHIYQAJBwAb6ZSJKChqTIYLYQQIOFQEZOyGUIIUSHhAGgoxKRshhBCVEg4AH6fKuMNQggxRt3DwXEctm7dyq233sqmTZvo6uoa9zlbtmzh8ccfr3r8yJEjXHvttZRKpbq20e9TZaaSEEKMUfdweOaZZzAMg127dnHvvffywAMP1DznoYceIpPJVD2WzWZ58MEH8fvruzBNVRRawjq6JhdRQggxou5nxD179rB69WoAVq5cyf79+6uOP/300yiKUnkOgOu6fO5zn+PP/uzPCIVCdW2fqip0zGmq69cQQojLTd3DIZvNEo1GK/c1TcOyLAAOHz7MD37wA+65556q1/z93/89N910E1dddVW9myeEEGIcda8XEY1GyeVylfuO4+DzeV/2ySef5NSpU9xxxx0cO3YMXddZuHAhTz31FPPmzeO73/0ufX19fOhDH+LRRx+td1OFEEKU1T0cVq1axbPPPsvNN9/Mvn37WLFiReXYJz/5ycrtr371qyQSCW688UZ+9KMfVR5/z3vewz/90z/Vu5lCCCHGqHs4rF27lt27d7Nx40Zc1+X+++9nx44dLF68mDVr1tT7ywshhLgIiuu6bqMbMRnWr1/PE0880ehmCCHEZeVs506ZvymEEKKGhIMQQogaEg5CCCFqzJitz44dO8b69esb3QwhhLisHDt2bNzHZ8yAtBBCiMkj3UpCCCFqSDgIIYSoIeEghBCihoSDEEKIGhIOQgghakg4CCGEqDGrw2EiW5jOFqZp8olPfILbbruNDRs28F//9V+NbtK0MDAwwE033cSRI0ca3ZSG+sY3vsGtt97K+vXr+dd//ddGN6ehTNPk3nvvZePGjdx2220z9ndjVofDRLYwnS2eeuop4vE4jz32GNu3b+dLX/pSo5vUcKZpsnXrVoLBYKOb0lCvvPIKP//5z3n88cfZuXMnJ0+ebHSTGuq5557Dsiy+/e1vc/fdd/PQQw81ukl1MavD4XxbmM4m733veys78rmui6ZpDW5R4z344INs3LiROXPmNLopDfXiiy+yYsUK7r77bv74j/+Yd73rXY1uUkMtW7YM27ZxHIdsNlvZvGymmZn/qgk62xamM/WHfS6RSATwvid/+qd/ysc+9rEGt6ixnnjiCVpbW1m9ejWPPPJIo5vTUOl0muPHj/P1r3+d3t5ePvKRj1T2fp+NwuEwx44d433vex/pdJqvf/3rjW5SXczqK4dzbWE6G504cYLNmzezbt06fvd3f7fRzWmo7373u7z00kts2rSJAwcO8KlPfYq+vr5GN6sh4vE4N9xwA36/n/b2dgKBAKlUqtHNaph//ud/5oYbbuCHP/wh3/ve9/j0pz9NqVRqdLMm3awOh1WrVvH8888D1GxhOtv09/fzoQ99iE984hNs2LCh0c1puEcffZRvfetb7Ny5k6uvvpoHH3yQZDLZ6GY1xLXXXssLL7yA67qcOnWKQqFAPB5vdLMaprm5maamJgBisRiWZWHbdoNbNflm78dkxt/CdLb6+te/TiaT4eGHH+bhhx8G4Jvf/OasH4wV8O53v5uf/vSnbNiwAdd12bp166wek7rzzjv57Gc/y2233YZpmnz84x8nHA43ulmTTqqyCiGEqDGru5WEEEKMT8JBCCFEDQkHIYQQNSQchBBC1JBwEEIIUUPCQQghRA0JByGEEDVm9SI4IerpkUce4fXXXyeVSnH06FFuv/12/vAP/7DRzRJiQuTKQYg6OXz4MKqq8sgjj7Bjxw6efPLJRjdJiAmTcBCiTg4fPszdd9+Npmlomjar6xGJy4+EgxB1YJomqVSKxYsXA3Do0KFZXdhRXH4kHISogzfeeIOOjo7K/QMHDnDVVVc1sEVCXBgJByHq4PDhw7zpTW+q3D9w4EDVfSGmO6nKKsQUWLt2Ld///velBLq4bMiVgxB1lslk0HVdgkFcVuTKQQghRA25chBCCFFDwkEIIUQNCQchhBA1JByEEELUkHAQQghRQ8JBCCFEDQkHIYQQNf5/tTYnUMhgRQoAAAAASUVORK5CYII=
"
>
</div>

</div>

</div>
</div>

  </div>
<div class="cell border-box-sizing text_cell rendered"><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>For $\eta &gt; 1$, $\theta$ drops back to $0.5$.</p>

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


<!-- Loads nbinteract package -->
<script src="https://unpkg.com/nbinteract-core" async></script>
<script>
  (function setupNbinteract() {
    // If NbInteract hasn't loaded, wait one second and try again
    if (window.NbInteract === undefined) {
      setTimeout(setupNbinteract, 1000)
      return
    }

    var interact = new window.NbInteract({
      spec: 'shivChitinous/recombinator/master',
      baseUrl: 'https://mybinder.org',
      provider: 'gh',
    })
    interact.prepare()

    window.interact = interact
  })()
</script>
    </div>
  </div>
</body>