TP2.html

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

<title>TP2</title>

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


<style type="text/css">
    /*!
*
* Twitter Bootstrap
*
*/
/*!
 * Bootstrap v3.3.7 (http://getbootstrap.com)
 * Copyright 2011-2016 Twitter, Inc.
 * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
 */
/*! normalize.css v3.0.3 | MIT License | github.com/necolas/normalize.css */
html {
  font-family: sans-serif;
  -ms-text-size-adjust: 100%;
  -webkit-text-size-adjust: 100%;
}
body {
  margin: 0;
}
article,
aside,
details,
figcaption,
figure,
footer,
header,
hgroup,
main,
menu,
nav,
section,
summary {
  display: block;
}
audio,
canvas,
progress,
video {
  display: inline-block;
  vertical-align: baseline;
}
audio:not([controls]) {
  display: none;
  height: 0;
}
[hidden],
template {
  display: none;
}
a {
  background-color: transparent;
}
a:active,
a:hover {
  outline: 0;
}
abbr[title] {
  border-bottom: 1px dotted;
}
b,
strong {
  font-weight: bold;
}
dfn {
  font-style: italic;
}
h1 {
  font-size: 2em;
  margin: 0.67em 0;
}
mark {
  background: #ff0;
  color: #000;
}
small {
  font-size: 80%;
}
sub,
sup {
  font-size: 75%;
  line-height: 0;
  position: relative;
  vertical-align: baseline;
}
sup {
  top: -0.5em;
}
sub {
  bottom: -0.25em;
}
img {
  border: 0;
}
svg:not(:root) {
  overflow: hidden;
}
figure {
  margin: 1em 40px;
}
hr {
  box-sizing: content-box;
  height: 0;
}
pre {
  overflow: auto;
}
code,
kbd,
pre,
samp {
  font-family: monospace, monospace;
  font-size: 1em;
}
button,
input,
optgroup,
select,
textarea {
  color: inherit;
  font: inherit;
  margin: 0;
}
button {
  overflow: visible;
}
button,
select {
  text-transform: none;
}
button,
html input[type="button"],
input[type="reset"],
input[type="submit"] {
  -webkit-appearance: button;
  cursor: pointer;
}
button[disabled],
html input[disabled] {
  cursor: default;
}
button::-moz-focus-inner,
input::-moz-focus-inner {
  border: 0;
  padding: 0;
}
input {
  line-height: normal;
}
input[type="checkbox"],
input[type="radio"] {
  box-sizing: border-box;
  padding: 0;
}
input[type="number"]::-webkit-inner-spin-button,
input[type="number"]::-webkit-outer-spin-button {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: textfield;
  box-sizing: content-box;
}
input[type="search"]::-webkit-search-cancel-button,
input[type="search"]::-webkit-search-decoration {
  -webkit-appearance: none;
}
fieldset {
  border: 1px solid #c0c0c0;
  margin: 0 2px;
  padding: 0.35em 0.625em 0.75em;
}
legend {
  border: 0;
  padding: 0;
}
textarea {
  overflow: auto;
}
optgroup {
  font-weight: bold;
}
table {
  border-collapse: collapse;
  border-spacing: 0;
}
td,
th {
  padding: 0;
}
/*! Source: https://github.com/h5bp/html5-boilerplate/blob/master/src/css/main.css */
@media print {
  *,
  *:before,
  *:after {
    background: transparent !important;
    box-shadow: none !important;
    text-shadow: none !important;
  }
  a,
  a:visited {
    text-decoration: underline;
  }
  a[href]:after {
    content: " (" attr(href) ")";
  }
  abbr[title]:after {
    content: " (" attr(title) ")";
  }
  a[href^="#"]:after,
  a[href^="javascript:"]:after {
    content: "";
  }
  pre,
  blockquote {
    border: 1px solid #999;
    page-break-inside: avoid;
  }
  thead {
    display: table-header-group;
  }
  tr,
  img {
    page-break-inside: avoid;
  }
  img {
    max-width: 100% !important;
  }
  p,
  h2,
  h3 {
    orphans: 3;
    widows: 3;
  }
  h2,
  h3 {
    page-break-after: avoid;
  }
  .navbar {
    display: none;
  }
  .btn > .caret,
  .dropup > .btn > .caret {
    border-top-color: #000 !important;
  }
  .label {
    border: 1px solid #000;
  }
  .table {
    border-collapse: collapse !important;
  }
  .table td,
  .table th {
    background-color: #fff !important;
  }
  .table-bordered th,
  .table-bordered td {
    border: 1px solid #ddd !important;
  }
}
@font-face {
  font-family: 'Glyphicons Halflings';
  src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot');
  src: url('../components/bootstrap/fonts/glyphicons-halflings-regular.eot?#iefix') format('embedded-opentype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff2') format('woff2'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.woff') format('woff'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.ttf') format('truetype'), url('../components/bootstrap/fonts/glyphicons-halflings-regular.svg#glyphicons_halflingsregular') format('svg');
}
.glyphicon {
  position: relative;
  top: 1px;
  display: inline-block;
  font-family: 'Glyphicons Halflings';
  font-style: normal;
  font-weight: normal;
  line-height: 1;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
.glyphicon-asterisk:before {
  content: "\002a";
}
.glyphicon-plus:before {
  content: "\002b";
}
.glyphicon-euro:before,
.glyphicon-eur:before {
  content: "\20ac";
}
.glyphicon-minus:before {
  content: "\2212";
}
.glyphicon-cloud:before {
  content: "\2601";
}
.glyphicon-envelope:before {
  content: "\2709";
}
.glyphicon-pencil:before {
  content: "\270f";
}
.glyphicon-glass:before {
  content: "\e001";
}
.glyphicon-music:before {
  content: "\e002";
}
.glyphicon-search:before {
  content: "\e003";
}
.glyphicon-heart:before {
  content: "\e005";
}
.glyphicon-star:before {
  content: "\e006";
}
.glyphicon-star-empty:before {
  content: "\e007";
}
.glyphicon-user:before {
  content: "\e008";
}
.glyphicon-film:before {
  content: "\e009";
}
.glyphicon-th-large:before {
  content: "\e010";
}
.glyphicon-th:before {
  content: "\e011";
}
.glyphicon-th-list:before {
  content: "\e012";
}
.glyphicon-ok:before {
  content: "\e013";
}
.glyphicon-remove:before {
  content: "\e014";
}
.glyphicon-zoom-in:before {
  content: "\e015";
}
.glyphicon-zoom-out:before {
  content: "\e016";
}
.glyphicon-off:before {
  content: "\e017";
}
.glyphicon-signal:before {
  content: "\e018";
}
.glyphicon-cog:before {
  content: "\e019";
}
.glyphicon-trash:before {
  content: "\e020";
}
.glyphicon-home:before {
  content: "\e021";
}
.glyphicon-file:before {
  content: "\e022";
}
.glyphicon-time:before {
  content: "\e023";
}
.glyphicon-road:before {
  content: "\e024";
}
.glyphicon-download-alt:before {
  content: "\e025";
}
.glyphicon-download:before {
  content: "\e026";
}
.glyphicon-upload:before {
  content: "\e027";
}
.glyphicon-inbox:before {
  content: "\e028";
}
.glyphicon-play-circle:before {
  content: "\e029";
}
.glyphicon-repeat:before {
  content: "\e030";
}
.glyphicon-refresh:before {
  content: "\e031";
}
.glyphicon-list-alt:before {
  content: "\e032";
}
.glyphicon-lock:before {
  content: "\e033";
}
.glyphicon-flag:before {
  content: "\e034";
}
.glyphicon-headphones:before {
  content: "\e035";
}
.glyphicon-volume-off:before {
  content: "\e036";
}
.glyphicon-volume-down:before {
  content: "\e037";
}
.glyphicon-volume-up:before {
  content: "\e038";
}
.glyphicon-qrcode:before {
  content: "\e039";
}
.glyphicon-barcode:before {
  content: "\e040";
}
.glyphicon-tag:before {
  content: "\e041";
}
.glyphicon-tags:before {
  content: "\e042";
}
.glyphicon-book:before {
  content: "\e043";
}
.glyphicon-bookmark:before {
  content: "\e044";
}
.glyphicon-print:before {
  content: "\e045";
}
.glyphicon-camera:before {
  content: "\e046";
}
.glyphicon-font:before {
  content: "\e047";
}
.glyphicon-bold:before {
  content: "\e048";
}
.glyphicon-italic:before {
  content: "\e049";
}
.glyphicon-text-height:before {
  content: "\e050";
}
.glyphicon-text-width:before {
  content: "\e051";
}
.glyphicon-align-left:before {
  content: "\e052";
}
.glyphicon-align-center:before {
  content: "\e053";
}
.glyphicon-align-right:before {
  content: "\e054";
}
.glyphicon-align-justify:before {
  content: "\e055";
}
.glyphicon-list:before {
  content: "\e056";
}
.glyphicon-indent-left:before {
  content: "\e057";
}
.glyphicon-indent-right:before {
  content: "\e058";
}
.glyphicon-facetime-video:before {
  content: "\e059";
}
.glyphicon-picture:before {
  content: "\e060";
}
.glyphicon-map-marker:before {
  content: "\e062";
}
.glyphicon-adjust:before {
  content: "\e063";
}
.glyphicon-tint:before {
  content: "\e064";
}
.glyphicon-edit:before {
  content: "\e065";
}
.glyphicon-share:before {
  content: "\e066";
}
.glyphicon-check:before {
  content: "\e067";
}
.glyphicon-move:before {
  content: "\e068";
}
.glyphicon-step-backward:before {
  content: "\e069";
}
.glyphicon-fast-backward:before {
  content: "\e070";
}
.glyphicon-backward:before {
  content: "\e071";
}
.glyphicon-play:before {
  content: "\e072";
}
.glyphicon-pause:before {
  content: "\e073";
}
.glyphicon-stop:before {
  content: "\e074";
}
.glyphicon-forward:before {
  content: "\e075";
}
.glyphicon-fast-forward:before {
  content: "\e076";
}
.glyphicon-step-forward:before {
  content: "\e077";
}
.glyphicon-eject:before {
  content: "\e078";
}
.glyphicon-chevron-left:before {
  content: "\e079";
}
.glyphicon-chevron-right:before {
  content: "\e080";
}
.glyphicon-plus-sign:before {
  content: "\e081";
}
.glyphicon-minus-sign:before {
  content: "\e082";
}
.glyphicon-remove-sign:before {
  content: "\e083";
}
.glyphicon-ok-sign:before {
  content: "\e084";
}
.glyphicon-question-sign:before {
  content: "\e085";
}
.glyphicon-info-sign:before {
  content: "\e086";
}
.glyphicon-screenshot:before {
  content: "\e087";
}
.glyphicon-remove-circle:before {
  content: "\e088";
}
.glyphicon-ok-circle:before {
  content: "\e089";
}
.glyphicon-ban-circle:before {
  content: "\e090";
}
.glyphicon-arrow-left:before {
  content: "\e091";
}
.glyphicon-arrow-right:before {
  content: "\e092";
}
.glyphicon-arrow-up:before {
  content: "\e093";
}
.glyphicon-arrow-down:before {
  content: "\e094";
}
.glyphicon-share-alt:before {
  content: "\e095";
}
.glyphicon-resize-full:before {
  content: "\e096";
}
.glyphicon-resize-small:before {
  content: "\e097";
}
.glyphicon-exclamation-sign:before {
  content: "\e101";
}
.glyphicon-gift:before {
  content: "\e102";
}
.glyphicon-leaf:before {
  content: "\e103";
}
.glyphicon-fire:before {
  content: "\e104";
}
.glyphicon-eye-open:before {
  content: "\e105";
}
.glyphicon-eye-close:before {
  content: "\e106";
}
.glyphicon-warning-sign:before {
  content: "\e107";
}
.glyphicon-plane:before {
  content: "\e108";
}
.glyphicon-calendar:before {
  content: "\e109";
}
.glyphicon-random:before {
  content: "\e110";
}
.glyphicon-comment:before {
  content: "\e111";
}
.glyphicon-magnet:before {
  content: "\e112";
}
.glyphicon-chevron-up:before {
  content: "\e113";
}
.glyphicon-chevron-down:before {
  content: "\e114";
}
.glyphicon-retweet:before {
  content: "\e115";
}
.glyphicon-shopping-cart:before {
  content: "\e116";
}
.glyphicon-folder-close:before {
  content: "\e117";
}
.glyphicon-folder-open:before {
  content: "\e118";
}
.glyphicon-resize-vertical:before {
  content: "\e119";
}
.glyphicon-resize-horizontal:before {
  content: "\e120";
}
.glyphicon-hdd:before {
  content: "\e121";
}
.glyphicon-bullhorn:before {
  content: "\e122";
}
.glyphicon-bell:before {
  content: "\e123";
}
.glyphicon-certificate:before {
  content: "\e124";
}
.glyphicon-thumbs-up:before {
  content: "\e125";
}
.glyphicon-thumbs-down:before {
  content: "\e126";
}
.glyphicon-hand-right:before {
  content: "\e127";
}
.glyphicon-hand-left:before {
  content: "\e128";
}
.glyphicon-hand-up:before {
  content: "\e129";
}
.glyphicon-hand-down:before {
  content: "\e130";
}
.glyphicon-circle-arrow-right:before {
  content: "\e131";
}
.glyphicon-circle-arrow-left:before {
  content: "\e132";
}
.glyphicon-circle-arrow-up:before {
  content: "\e133";
}
.glyphicon-circle-arrow-down:before {
  content: "\e134";
}
.glyphicon-globe:before {
  content: "\e135";
}
.glyphicon-wrench:before {
  content: "\e136";
}
.glyphicon-tasks:before {
  content: "\e137";
}
.glyphicon-filter:before {
  content: "\e138";
}
.glyphicon-briefcase:before {
  content: "\e139";
}
.glyphicon-fullscreen:before {
  content: "\e140";
}
.glyphicon-dashboard:before {
  content: "\e141";
}
.glyphicon-paperclip:before {
  content: "\e142";
}
.glyphicon-heart-empty:before {
  content: "\e143";
}
.glyphicon-link:before {
  content: "\e144";
}
.glyphicon-phone:before {
  content: "\e145";
}
.glyphicon-pushpin:before {
  content: "\e146";
}
.glyphicon-usd:before {
  content: "\e148";
}
.glyphicon-gbp:before {
  content: "\e149";
}
.glyphicon-sort:before {
  content: "\e150";
}
.glyphicon-sort-by-alphabet:before {
  content: "\e151";
}
.glyphicon-sort-by-alphabet-alt:before {
  content: "\e152";
}
.glyphicon-sort-by-order:before {
  content: "\e153";
}
.glyphicon-sort-by-order-alt:before {
  content: "\e154";
}
.glyphicon-sort-by-attributes:before {
  content: "\e155";
}
.glyphicon-sort-by-attributes-alt:before {
  content: "\e156";
}
.glyphicon-unchecked:before {
  content: "\e157";
}
.glyphicon-expand:before {
  content: "\e158";
}
.glyphicon-collapse-down:before {
  content: "\e159";
}
.glyphicon-collapse-up:before {
  content: "\e160";
}
.glyphicon-log-in:before {
  content: "\e161";
}
.glyphicon-flash:before {
  content: "\e162";
}
.glyphicon-log-out:before {
  content: "\e163";
}
.glyphicon-new-window:before {
  content: "\e164";
}
.glyphicon-record:before {
  content: "\e165";
}
.glyphicon-save:before {
  content: "\e166";
}
.glyphicon-open:before {
  content: "\e167";
}
.glyphicon-saved:before {
  content: "\e168";
}
.glyphicon-import:before {
  content: "\e169";
}
.glyphicon-export:before {
  content: "\e170";
}
.glyphicon-send:before {
  content: "\e171";
}
.glyphicon-floppy-disk:before {
  content: "\e172";
}
.glyphicon-floppy-saved:before {
  content: "\e173";
}
.glyphicon-floppy-remove:before {
  content: "\e174";
}
.glyphicon-floppy-save:before {
  content: "\e175";
}
.glyphicon-floppy-open:before {
  content: "\e176";
}
.glyphicon-credit-card:before {
  content: "\e177";
}
.glyphicon-transfer:before {
  content: "\e178";
}
.glyphicon-cutlery:before {
  content: "\e179";
}
.glyphicon-header:before {
  content: "\e180";
}
.glyphicon-compressed:before {
  content: "\e181";
}
.glyphicon-earphone:before {
  content: "\e182";
}
.glyphicon-phone-alt:before {
  content: "\e183";
}
.glyphicon-tower:before {
  content: "\e184";
}
.glyphicon-stats:before {
  content: "\e185";
}
.glyphicon-sd-video:before {
  content: "\e186";
}
.glyphicon-hd-video:before {
  content: "\e187";
}
.glyphicon-subtitles:before {
  content: "\e188";
}
.glyphicon-sound-stereo:before {
  content: "\e189";
}
.glyphicon-sound-dolby:before {
  content: "\e190";
}
.glyphicon-sound-5-1:before {
  content: "\e191";
}
.glyphicon-sound-6-1:before {
  content: "\e192";
}
.glyphicon-sound-7-1:before {
  content: "\e193";
}
.glyphicon-copyright-mark:before {
  content: "\e194";
}
.glyphicon-registration-mark:before {
  content: "\e195";
}
.glyphicon-cloud-download:before {
  content: "\e197";
}
.glyphicon-cloud-upload:before {
  content: "\e198";
}
.glyphicon-tree-conifer:before {
  content: "\e199";
}
.glyphicon-tree-deciduous:before {
  content: "\e200";
}
.glyphicon-cd:before {
  content: "\e201";
}
.glyphicon-save-file:before {
  content: "\e202";
}
.glyphicon-open-file:before {
  content: "\e203";
}
.glyphicon-level-up:before {
  content: "\e204";
}
.glyphicon-copy:before {
  content: "\e205";
}
.glyphicon-paste:before {
  content: "\e206";
}
.glyphicon-alert:before {
  content: "\e209";
}
.glyphicon-equalizer:before {
  content: "\e210";
}
.glyphicon-king:before {
  content: "\e211";
}
.glyphicon-queen:before {
  content: "\e212";
}
.glyphicon-pawn:before {
  content: "\e213";
}
.glyphicon-bishop:before {
  content: "\e214";
}
.glyphicon-knight:before {
  content: "\e215";
}
.glyphicon-baby-formula:before {
  content: "\e216";
}
.glyphicon-tent:before {
  content: "\26fa";
}
.glyphicon-blackboard:before {
  content: "\e218";
}
.glyphicon-bed:before {
  content: "\e219";
}
.glyphicon-apple:before {
  content: "\f8ff";
}
.glyphicon-erase:before {
  content: "\e221";
}
.glyphicon-hourglass:before {
  content: "\231b";
}
.glyphicon-lamp:before {
  content: "\e223";
}
.glyphicon-duplicate:before {
  content: "\e224";
}
.glyphicon-piggy-bank:before {
  content: "\e225";
}
.glyphicon-scissors:before {
  content: "\e226";
}
.glyphicon-bitcoin:before {
  content: "\e227";
}
.glyphicon-btc:before {
  content: "\e227";
}
.glyphicon-xbt:before {
  content: "\e227";
}
.glyphicon-yen:before {
  content: "\00a5";
}
.glyphicon-jpy:before {
  content: "\00a5";
}
.glyphicon-ruble:before {
  content: "\20bd";
}
.glyphicon-rub:before {
  content: "\20bd";
}
.glyphicon-scale:before {
  content: "\e230";
}
.glyphicon-ice-lolly:before {
  content: "\e231";
}
.glyphicon-ice-lolly-tasted:before {
  content: "\e232";
}
.glyphicon-education:before {
  content: "\e233";
}
.glyphicon-option-horizontal:before {
  content: "\e234";
}
.glyphicon-option-vertical:before {
  content: "\e235";
}
.glyphicon-menu-hamburger:before {
  content: "\e236";
}
.glyphicon-modal-window:before {
  content: "\e237";
}
.glyphicon-oil:before {
  content: "\e238";
}
.glyphicon-grain:before {
  content: "\e239";
}
.glyphicon-sunglasses:before {
  content: "\e240";
}
.glyphicon-text-size:before {
  content: "\e241";
}
.glyphicon-text-color:before {
  content: "\e242";
}
.glyphicon-text-background:before {
  content: "\e243";
}
.glyphicon-object-align-top:before {
  content: "\e244";
}
.glyphicon-object-align-bottom:before {
  content: "\e245";
}
.glyphicon-object-align-horizontal:before {
  content: "\e246";
}
.glyphicon-object-align-left:before {
  content: "\e247";
}
.glyphicon-object-align-vertical:before {
  content: "\e248";
}
.glyphicon-object-align-right:before {
  content: "\e249";
}
.glyphicon-triangle-right:before {
  content: "\e250";
}
.glyphicon-triangle-left:before {
  content: "\e251";
}
.glyphicon-triangle-bottom:before {
  content: "\e252";
}
.glyphicon-triangle-top:before {
  content: "\e253";
}
.glyphicon-console:before {
  content: "\e254";
}
.glyphicon-superscript:before {
  content: "\e255";
}
.glyphicon-subscript:before {
  content: "\e256";
}
.glyphicon-menu-left:before {
  content: "\e257";
}
.glyphicon-menu-right:before {
  content: "\e258";
}
.glyphicon-menu-down:before {
  content: "\e259";
}
.glyphicon-menu-up:before {
  content: "\e260";
}
* {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
*:before,
*:after {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
html {
  font-size: 10px;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 13px;
  line-height: 1.42857143;
  color: #000;
  background-color: #fff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #337ab7;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #23527c;
  text-decoration: underline;
}
a:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
figure {
  margin: 0;
}
img {
  vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  display: block;
  max-width: 100%;
  height: auto;
}
.img-rounded {
  border-radius: 3px;
}
.img-thumbnail {
  padding: 4px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: all 0.2s ease-in-out;
  -o-transition: all 0.2s ease-in-out;
  transition: all 0.2s ease-in-out;
  display: inline-block;
  max-width: 100%;
  height: auto;
}
.img-circle {
  border-radius: 50%;
}
hr {
  margin-top: 18px;
  margin-bottom: 18px;
  border: 0;
  border-top: 1px solid #eeeeee;
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  margin: -1px;
  padding: 0;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
[role="button"] {
  cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
  font-family: inherit;
  font-weight: 500;
  line-height: 1.1;
  color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
  font-weight: normal;
  line-height: 1;
  color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
  margin-top: 18px;
  margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
  font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
  margin-top: 9px;
  margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
  font-size: 75%;
}
h1,
.h1 {
  font-size: 33px;
}
h2,
.h2 {
  font-size: 27px;
}
h3,
.h3 {
  font-size: 23px;
}
h4,
.h4 {
  font-size: 17px;
}
h5,
.h5 {
  font-size: 13px;
}
h6,
.h6 {
  font-size: 12px;
}
p {
  margin: 0 0 9px;
}
.lead {
  margin-bottom: 18px;
  font-size: 14px;
  font-weight: 300;
  line-height: 1.4;
}
@media (min-width: 768px) {
  .lead {
    font-size: 19.5px;
  }
}
small,
.small {
  font-size: 92%;
}
mark,
.mark {
  background-color: #fcf8e3;
  padding: .2em;
}
.text-left {
  text-align: left;
}
.text-right {
  text-align: right;
}
.text-center {
  text-align: center;
}
.text-justify {
  text-align: justify;
}
.text-nowrap {
  white-space: nowrap;
}
.text-lowercase {
  text-transform: lowercase;
}
.text-uppercase {
  text-transform: uppercase;
}
.text-capitalize {
  text-transform: capitalize;
}
.text-muted {
  color: #777777;
}
.text-primary {
  color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
  color: #286090;
}
.text-success {
  color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
  color: #2b542c;
}
.text-info {
  color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
  color: #245269;
}
.text-warning {
  color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
  color: #66512c;
}
.text-danger {
  color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
  color: #843534;
}
.bg-primary {
  color: #fff;
  background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
  background-color: #286090;
}
.bg-success {
  background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
  background-color: #c1e2b3;
}
.bg-info {
  background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
  background-color: #afd9ee;
}
.bg-warning {
  background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
  background-color: #f7ecb5;
}
.bg-danger {
  background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
  background-color: #e4b9b9;
}
.page-header {
  padding-bottom: 8px;
  margin: 36px 0 18px;
  border-bottom: 1px solid #eeeeee;
}
ul,
ol {
  margin-top: 0;
  margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
  margin-bottom: 0;
}
.list-unstyled {
  padding-left: 0;
  list-style: none;
}
.list-inline {
  padding-left: 0;
  list-style: none;
  margin-left: -5px;
}
.list-inline > li {
  display: inline-block;
  padding-left: 5px;
  padding-right: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: bold;
}
dd {
  margin-left: 0;
}
@media (min-width: 541px) {
  .dl-horizontal dt {
    float: left;
    width: 160px;
    clear: left;
    text-align: right;
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
  }
  .dl-horizontal dd {
    margin-left: 180px;
  }
}
abbr[title],
abbr[data-original-title] {
  cursor: help;
  border-bottom: 1px dotted #777777;
}
.initialism {
  font-size: 90%;
  text-transform: uppercase;
}
blockquote {
  padding: 9px 18px;
  margin: 0 0 18px;
  font-size: inherit;
  border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
  margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
  display: block;
  font-size: 80%;
  line-height: 1.42857143;
  color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
  content: '\2014 \00A0';
}
.blockquote-reverse,
blockquote.pull-right {
  padding-right: 15px;
  padding-left: 0;
  border-right: 5px solid #eeeeee;
  border-left: 0;
  text-align: right;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
  content: '';
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
  content: '\00A0 \2014';
}
address {
  margin-bottom: 18px;
  font-style: normal;
  line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
  font-family: monospace;
}
code {
  padding: 2px 4px;
  font-size: 90%;
  color: #c7254e;
  background-color: #f9f2f4;
  border-radius: 2px;
}
kbd {
  padding: 2px 4px;
  font-size: 90%;
  color: #888;
  background-color: transparent;
  border-radius: 1px;
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
  padding: 0;
  font-size: 100%;
  font-weight: bold;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  word-break: break-all;
  word-wrap: break-word;
  color: #333333;
  background-color: #f5f5f5;
  border: 1px solid #ccc;
  border-radius: 2px;
}
pre code {
  padding: 0;
  font-size: inherit;
  color: inherit;
  white-space: pre-wrap;
  background-color: transparent;
  border-radius: 0;
}
.pre-scrollable {
  max-height: 340px;
  overflow-y: scroll;
}
.container {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
.row {
  margin-left: 0px;
  margin-right: 0px;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
  position: relative;
  min-height: 1px;
  padding-left: 0px;
  padding-right: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
  float: left;
}
.col-xs-12 {
  width: 100%;
}
.col-xs-11 {
  width: 91.66666667%;
}
.col-xs-10 {
  width: 83.33333333%;
}
.col-xs-9 {
  width: 75%;
}
.col-xs-8 {
  width: 66.66666667%;
}
.col-xs-7 {
  width: 58.33333333%;
}
.col-xs-6 {
  width: 50%;
}
.col-xs-5 {
  width: 41.66666667%;
}
.col-xs-4 {
  width: 33.33333333%;
}
.col-xs-3 {
  width: 25%;
}
.col-xs-2 {
  width: 16.66666667%;
}
.col-xs-1 {
  width: 8.33333333%;
}
.col-xs-pull-12 {
  right: 100%;
}
.col-xs-pull-11 {
  right: 91.66666667%;
}
.col-xs-pull-10 {
  right: 83.33333333%;
}
.col-xs-pull-9 {
  right: 75%;
}
.col-xs-pull-8 {
  right: 66.66666667%;
}
.col-xs-pull-7 {
  right: 58.33333333%;
}
.col-xs-pull-6 {
  right: 50%;
}
.col-xs-pull-5 {
  right: 41.66666667%;
}
.col-xs-pull-4 {
  right: 33.33333333%;
}
.col-xs-pull-3 {
  right: 25%;
}
.col-xs-pull-2 {
  right: 16.66666667%;
}
.col-xs-pull-1 {
  right: 8.33333333%;
}
.col-xs-pull-0 {
  right: auto;
}
.col-xs-push-12 {
  left: 100%;
}
.col-xs-push-11 {
  left: 91.66666667%;
}
.col-xs-push-10 {
  left: 83.33333333%;
}
.col-xs-push-9 {
  left: 75%;
}
.col-xs-push-8 {
  left: 66.66666667%;
}
.col-xs-push-7 {
  left: 58.33333333%;
}
.col-xs-push-6 {
  left: 50%;
}
.col-xs-push-5 {
  left: 41.66666667%;
}
.col-xs-push-4 {
  left: 33.33333333%;
}
.col-xs-push-3 {
  left: 25%;
}
.col-xs-push-2 {
  left: 16.66666667%;
}
.col-xs-push-1 {
  left: 8.33333333%;
}
.col-xs-push-0 {
  left: auto;
}
.col-xs-offset-12 {
  margin-left: 100%;
}
.col-xs-offset-11 {
  margin-left: 91.66666667%;
}
.col-xs-offset-10 {
  margin-left: 83.33333333%;
}
.col-xs-offset-9 {
  margin-left: 75%;
}
.col-xs-offset-8 {
  margin-left: 66.66666667%;
}
.col-xs-offset-7 {
  margin-left: 58.33333333%;
}
.col-xs-offset-6 {
  margin-left: 50%;
}
.col-xs-offset-5 {
  margin-left: 41.66666667%;
}
.col-xs-offset-4 {
  margin-left: 33.33333333%;
}
.col-xs-offset-3 {
  margin-left: 25%;
}
.col-xs-offset-2 {
  margin-left: 16.66666667%;
}
.col-xs-offset-1 {
  margin-left: 8.33333333%;
}
.col-xs-offset-0 {
  margin-left: 0%;
}
@media (min-width: 768px) {
  .col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
    float: left;
  }
  .col-sm-12 {
    width: 100%;
  }
  .col-sm-11 {
    width: 91.66666667%;
  }
  .col-sm-10 {
    width: 83.33333333%;
  }
  .col-sm-9 {
    width: 75%;
  }
  .col-sm-8 {
    width: 66.66666667%;
  }
  .col-sm-7 {
    width: 58.33333333%;
  }
  .col-sm-6 {
    width: 50%;
  }
  .col-sm-5 {
    width: 41.66666667%;
  }
  .col-sm-4 {
    width: 33.33333333%;
  }
  .col-sm-3 {
    width: 25%;
  }
  .col-sm-2 {
    width: 16.66666667%;
  }
  .col-sm-1 {
    width: 8.33333333%;
  }
  .col-sm-pull-12 {
    right: 100%;
  }
  .col-sm-pull-11 {
    right: 91.66666667%;
  }
  .col-sm-pull-10 {
    right: 83.33333333%;
  }
  .col-sm-pull-9 {
    right: 75%;
  }
  .col-sm-pull-8 {
    right: 66.66666667%;
  }
  .col-sm-pull-7 {
    right: 58.33333333%;
  }
  .col-sm-pull-6 {
    right: 50%;
  }
  .col-sm-pull-5 {
    right: 41.66666667%;
  }
  .col-sm-pull-4 {
    right: 33.33333333%;
  }
  .col-sm-pull-3 {
    right: 25%;
  }
  .col-sm-pull-2 {
    right: 16.66666667%;
  }
  .col-sm-pull-1 {
    right: 8.33333333%;
  }
  .col-sm-pull-0 {
    right: auto;
  }
  .col-sm-push-12 {
    left: 100%;
  }
  .col-sm-push-11 {
    left: 91.66666667%;
  }
  .col-sm-push-10 {
    left: 83.33333333%;
  }
  .col-sm-push-9 {
    left: 75%;
  }
  .col-sm-push-8 {
    left: 66.66666667%;
  }
  .col-sm-push-7 {
    left: 58.33333333%;
  }
  .col-sm-push-6 {
    left: 50%;
  }
  .col-sm-push-5 {
    left: 41.66666667%;
  }
  .col-sm-push-4 {
    left: 33.33333333%;
  }
  .col-sm-push-3 {
    left: 25%;
  }
  .col-sm-push-2 {
    left: 16.66666667%;
  }
  .col-sm-push-1 {
    left: 8.33333333%;
  }
  .col-sm-push-0 {
    left: auto;
  }
  .col-sm-offset-12 {
    margin-left: 100%;
  }
  .col-sm-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-sm-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-sm-offset-9 {
    margin-left: 75%;
  }
  .col-sm-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-sm-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-sm-offset-6 {
    margin-left: 50%;
  }
  .col-sm-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-sm-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-sm-offset-3 {
    margin-left: 25%;
  }
  .col-sm-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-sm-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-sm-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 992px) {
  .col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
    float: left;
  }
  .col-md-12 {
    width: 100%;
  }
  .col-md-11 {
    width: 91.66666667%;
  }
  .col-md-10 {
    width: 83.33333333%;
  }
  .col-md-9 {
    width: 75%;
  }
  .col-md-8 {
    width: 66.66666667%;
  }
  .col-md-7 {
    width: 58.33333333%;
  }
  .col-md-6 {
    width: 50%;
  }
  .col-md-5 {
    width: 41.66666667%;
  }
  .col-md-4 {
    width: 33.33333333%;
  }
  .col-md-3 {
    width: 25%;
  }
  .col-md-2 {
    width: 16.66666667%;
  }
  .col-md-1 {
    width: 8.33333333%;
  }
  .col-md-pull-12 {
    right: 100%;
  }
  .col-md-pull-11 {
    right: 91.66666667%;
  }
  .col-md-pull-10 {
    right: 83.33333333%;
  }
  .col-md-pull-9 {
    right: 75%;
  }
  .col-md-pull-8 {
    right: 66.66666667%;
  }
  .col-md-pull-7 {
    right: 58.33333333%;
  }
  .col-md-pull-6 {
    right: 50%;
  }
  .col-md-pull-5 {
    right: 41.66666667%;
  }
  .col-md-pull-4 {
    right: 33.33333333%;
  }
  .col-md-pull-3 {
    right: 25%;
  }
  .col-md-pull-2 {
    right: 16.66666667%;
  }
  .col-md-pull-1 {
    right: 8.33333333%;
  }
  .col-md-pull-0 {
    right: auto;
  }
  .col-md-push-12 {
    left: 100%;
  }
  .col-md-push-11 {
    left: 91.66666667%;
  }
  .col-md-push-10 {
    left: 83.33333333%;
  }
  .col-md-push-9 {
    left: 75%;
  }
  .col-md-push-8 {
    left: 66.66666667%;
  }
  .col-md-push-7 {
    left: 58.33333333%;
  }
  .col-md-push-6 {
    left: 50%;
  }
  .col-md-push-5 {
    left: 41.66666667%;
  }
  .col-md-push-4 {
    left: 33.33333333%;
  }
  .col-md-push-3 {
    left: 25%;
  }
  .col-md-push-2 {
    left: 16.66666667%;
  }
  .col-md-push-1 {
    left: 8.33333333%;
  }
  .col-md-push-0 {
    left: auto;
  }
  .col-md-offset-12 {
    margin-left: 100%;
  }
  .col-md-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-md-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-md-offset-9 {
    margin-left: 75%;
  }
  .col-md-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-md-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-md-offset-6 {
    margin-left: 50%;
  }
  .col-md-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-md-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-md-offset-3 {
    margin-left: 25%;
  }
  .col-md-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-md-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-md-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 1200px) {
  .col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
    float: left;
  }
  .col-lg-12 {
    width: 100%;
  }
  .col-lg-11 {
    width: 91.66666667%;
  }
  .col-lg-10 {
    width: 83.33333333%;
  }
  .col-lg-9 {
    width: 75%;
  }
  .col-lg-8 {
    width: 66.66666667%;
  }
  .col-lg-7 {
    width: 58.33333333%;
  }
  .col-lg-6 {
    width: 50%;
  }
  .col-lg-5 {
    width: 41.66666667%;
  }
  .col-lg-4 {
    width: 33.33333333%;
  }
  .col-lg-3 {
    width: 25%;
  }
  .col-lg-2 {
    width: 16.66666667%;
  }
  .col-lg-1 {
    width: 8.33333333%;
  }
  .col-lg-pull-12 {
    right: 100%;
  }
  .col-lg-pull-11 {
    right: 91.66666667%;
  }
  .col-lg-pull-10 {
    right: 83.33333333%;
  }
  .col-lg-pull-9 {
    right: 75%;
  }
  .col-lg-pull-8 {
    right: 66.66666667%;
  }
  .col-lg-pull-7 {
    right: 58.33333333%;
  }
  .col-lg-pull-6 {
    right: 50%;
  }
  .col-lg-pull-5 {
    right: 41.66666667%;
  }
  .col-lg-pull-4 {
    right: 33.33333333%;
  }
  .col-lg-pull-3 {
    right: 25%;
  }
  .col-lg-pull-2 {
    right: 16.66666667%;
  }
  .col-lg-pull-1 {
    right: 8.33333333%;
  }
  .col-lg-pull-0 {
    right: auto;
  }
  .col-lg-push-12 {
    left: 100%;
  }
  .col-lg-push-11 {
    left: 91.66666667%;
  }
  .col-lg-push-10 {
    left: 83.33333333%;
  }
  .col-lg-push-9 {
    left: 75%;
  }
  .col-lg-push-8 {
    left: 66.66666667%;
  }
  .col-lg-push-7 {
    left: 58.33333333%;
  }
  .col-lg-push-6 {
    left: 50%;
  }
  .col-lg-push-5 {
    left: 41.66666667%;
  }
  .col-lg-push-4 {
    left: 33.33333333%;
  }
  .col-lg-push-3 {
    left: 25%;
  }
  .col-lg-push-2 {
    left: 16.66666667%;
  }
  .col-lg-push-1 {
    left: 8.33333333%;
  }
  .col-lg-push-0 {
    left: auto;
  }
  .col-lg-offset-12 {
    margin-left: 100%;
  }
  .col-lg-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-lg-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-lg-offset-9 {
    margin-left: 75%;
  }
  .col-lg-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-lg-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-lg-offset-6 {
    margin-left: 50%;
  }
  .col-lg-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-lg-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-lg-offset-3 {
    margin-left: 25%;
  }
  .col-lg-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-lg-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-lg-offset-0 {
    margin-left: 0%;
  }
}
table {
  background-color: transparent;
}
caption {
  padding-top: 8px;
  padding-bottom: 8px;
  color: #777777;
  text-align: left;
}
th {
  text-align: left;
}
.table {
  width: 100%;
  max-width: 100%;
  margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
  padding: 8px;
  line-height: 1.42857143;
  vertical-align: top;
  border-top: 1px solid #ddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #ddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
  border-top: 0;
}
.table > tbody + tbody {
  border-top: 2px solid #ddd;
}
.table .table {
  background-color: #fff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
  padding: 5px;
}
.table-bordered {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
  border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
  background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
  background-color: #f5f5f5;
}
table col[class*="col-"] {
  position: static;
  float: none;
  display: table-column;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  float: none;
  display: table-cell;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
  background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
  background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
  background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
  background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
  background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
  background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
  background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
  background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
  background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
  background-color: #ebcccc;
}
.table-responsive {
  overflow-x: auto;
  min-height: 0.01%;
}
@media screen and (max-width: 767px) {
  .table-responsive {
    width: 100%;
    margin-bottom: 13.5px;
    overflow-y: hidden;
    -ms-overflow-style: -ms-autohiding-scrollbar;
    border: 1px solid #ddd;
  }
  .table-responsive > .table {
    margin-bottom: 0;
  }
  .table-responsive > .table > thead > tr > th,
  .table-responsive > .table > tbody > tr > th,
  .table-responsive > .table > tfoot > tr > th,
  .table-responsive > .table > thead > tr > td,
  .table-responsive > .table > tbody > tr > td,
  .table-responsive > .table > tfoot > tr > td {
    white-space: nowrap;
  }
  .table-responsive > .table-bordered {
    border: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:first-child,
  .table-responsive > .table-bordered > tbody > tr > th:first-child,
  .table-responsive > .table-bordered > tfoot > tr > th:first-child,
  .table-responsive > .table-bordered > thead > tr > td:first-child,
  .table-responsive > .table-bordered > tbody > tr > td:first-child,
  .table-responsive > .table-bordered > tfoot > tr > td:first-child {
    border-left: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:last-child,
  .table-responsive > .table-bordered > tbody > tr > th:last-child,
  .table-responsive > .table-bordered > tfoot > tr > th:last-child,
  .table-responsive > .table-bordered > thead > tr > td:last-child,
  .table-responsive > .table-bordered > tbody > tr > td:last-child,
  .table-responsive > .table-bordered > tfoot > tr > td:last-child {
    border-right: 0;
  }
  .table-responsive > .table-bordered > tbody > tr:last-child > th,
  .table-responsive > .table-bordered > tfoot > tr:last-child > th,
  .table-responsive > .table-bordered > tbody > tr:last-child > td,
  .table-responsive > .table-bordered > tfoot > tr:last-child > td {
    border-bottom: 0;
  }
}
fieldset {
  padding: 0;
  margin: 0;
  border: 0;
  min-width: 0;
}
legend {
  display: block;
  width: 100%;
  padding: 0;
  margin-bottom: 18px;
  font-size: 19.5px;
  line-height: inherit;
  color: #333333;
  border: 0;
  border-bottom: 1px solid #e5e5e5;
}
label {
  display: inline-block;
  max-width: 100%;
  margin-bottom: 5px;
  font-weight: bold;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
input[type="file"] {
  display: block;
}
input[type="range"] {
  display: block;
  width: 100%;
}
select[multiple],
select[size] {
  height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
output {
  display: block;
  padding-top: 7px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
}
.form-control {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999;
}
.form-control::-webkit-input-placeholder {
  color: #999;
}
.form-control::-ms-expand {
  border: 0;
  background-color: transparent;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
  background-color: #eeeeee;
  opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
  cursor: not-allowed;
}
textarea.form-control {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: none;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
  input[type="date"].form-control,
  input[type="time"].form-control,
  input[type="datetime-local"].form-control,
  input[type="month"].form-control {
    line-height: 32px;
  }
  input[type="date"].input-sm,
  input[type="time"].input-sm,
  input[type="datetime-local"].input-sm,
  input[type="month"].input-sm,
  .input-group-sm input[type="date"],
  .input-group-sm input[type="time"],
  .input-group-sm input[type="datetime-local"],
  .input-group-sm input[type="month"] {
    line-height: 30px;
  }
  input[type="date"].input-lg,
  input[type="time"].input-lg,
  input[type="datetime-local"].input-lg,
  input[type="month"].input-lg,
  .input-group-lg input[type="date"],
  .input-group-lg input[type="time"],
  .input-group-lg input[type="datetime-local"],
  .input-group-lg input[type="month"] {
    line-height: 45px;
  }
}
.form-group {
  margin-bottom: 15px;
}
.radio,
.checkbox {
  position: relative;
  display: block;
  margin-top: 10px;
  margin-bottom: 10px;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: normal;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-left: -20px;
  margin-top: 4px \9;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  vertical-align: middle;
  font-weight: normal;
  cursor: pointer;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
  cursor: not-allowed;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.form-control-static {
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
  min-height: 31px;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-left: 0;
  padding-right: 0;
}
.input-sm {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-sm {
  height: 30px;
  line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
  height: auto;
}
.form-group-sm .form-control {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.form-group-sm select.form-control {
  height: 30px;
  line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
  height: auto;
}
.form-group-sm .form-control-static {
  height: 30px;
  min-height: 30px;
  padding: 6px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.input-lg {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-lg {
  height: 45px;
  line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
  height: auto;
}
.form-group-lg .form-control {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.form-group-lg select.form-control {
  height: 45px;
  line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
  height: auto;
}
.form-group-lg .form-control-static {
  height: 45px;
  min-height: 35px;
  padding: 11px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.has-feedback {
  position: relative;
}
.has-feedback .form-control {
  padding-right: 40px;
}
.form-control-feedback {
  position: absolute;
  top: 0;
  right: 0;
  z-index: 2;
  display: block;
  width: 32px;
  height: 32px;
  line-height: 32px;
  text-align: center;
  pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
  width: 45px;
  height: 45px;
  line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
  width: 30px;
  height: 30px;
  line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
  color: #3c763d;
}
.has-success .form-control {
  border-color: #3c763d;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
  border-color: #2b542c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
  color: #3c763d;
  border-color: #3c763d;
  background-color: #dff0d8;
}
.has-success .form-control-feedback {
  color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
  color: #8a6d3b;
}
.has-warning .form-control {
  border-color: #8a6d3b;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
  border-color: #66512c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
  color: #8a6d3b;
  border-color: #8a6d3b;
  background-color: #fcf8e3;
}
.has-warning .form-control-feedback {
  color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
  color: #a94442;
}
.has-error .form-control {
  border-color: #a94442;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
  border-color: #843534;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
  color: #a94442;
  border-color: #a94442;
  background-color: #f2dede;
}
.has-error .form-control-feedback {
  color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
  top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
  top: 0;
}
.help-block {
  display: block;
  margin-top: 5px;
  margin-bottom: 10px;
  color: #404040;
}
@media (min-width: 768px) {
  .form-inline .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .form-inline .form-control-static {
    display: inline-block;
  }
  .form-inline .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .form-inline .input-group .input-group-addon,
  .form-inline .input-group .input-group-btn,
  .form-inline .input-group .form-control {
    width: auto;
  }
  .form-inline .input-group > .form-control {
    width: 100%;
  }
  .form-inline .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio,
  .form-inline .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio label,
  .form-inline .checkbox label {
    padding-left: 0;
  }
  .form-inline .radio input[type="radio"],
  .form-inline .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .form-inline .has-feedback .form-control-feedback {
    top: 0;
  }
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
  margin-top: 0;
  margin-bottom: 0;
  padding-top: 7px;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-left: 0px;
  margin-right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    text-align: right;
    margin-bottom: 0;
    padding-top: 7px;
  }
}
.form-horizontal .has-feedback .form-control-feedback {
  right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .form-group-lg .control-label {
    padding-top: 11px;
    font-size: 17px;
  }
}
@media (min-width: 768px) {
  .form-horizontal .form-group-sm .control-label {
    padding-top: 6px;
    font-size: 12px;
  }
}
.btn {
  display: inline-block;
  margin-bottom: 0;
  font-weight: normal;
  text-align: center;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  white-space: nowrap;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  border-radius: 2px;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
  color: #333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  outline: 0;
  background-image: none;
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
  cursor: not-allowed;
  opacity: 0.65;
  filter: alpha(opacity=65);
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  background-image: none;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
  background-color: #fff;
  border-color: #ccc;
}
.btn-default .badge {
  color: #fff;
  background-color: #333;
}
.btn-primary {
  color: #fff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #fff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
  color: #fff;
  background-color: #204d74;
  border-color: #122b40;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  background-image: none;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary .badge {
  color: #337ab7;
  background-color: #fff;
}
.btn-success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  background-image: none;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.btn-info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  background-image: none;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.btn-warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  background-image: none;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.btn-danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  background-image: none;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger .badge {
  color: #d9534f;
  background-color: #fff;
}
.btn-link {
  color: #337ab7;
  font-weight: normal;
  border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
  background-color: transparent;
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
  border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
  color: #23527c;
  text-decoration: underline;
  background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
  color: #777777;
  text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
  padding: 1px 5px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-block {
  display: block;
  width: 100%;
}
.btn-block + .btn-block {
  margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
  width: 100%;
}
.fade {
  opacity: 0;
  -webkit-transition: opacity 0.15s linear;
  -o-transition: opacity 0.15s linear;
  transition: opacity 0.15s linear;
}
.fade.in {
  opacity: 1;
}
.collapse {
  display: none;
}
.collapse.in {
  display: block;
}
tr.collapse.in {
  display: table-row;
}
tbody.collapse.in {
  display: table-row-group;
}
.collapsing {
  position: relative;
  height: 0;
  overflow: hidden;
  -webkit-transition-property: height, visibility;
  transition-property: height, visibility;
  -webkit-transition-duration: 0.35s;
  transition-duration: 0.35s;
  -webkit-transition-timing-function: ease;
  transition-timing-function: ease;
}
.caret {
  display: inline-block;
  width: 0;
  height: 0;
  margin-left: 2px;
  vertical-align: middle;
  border-top: 4px dashed;
  border-top: 4px solid \9;
  border-right: 4px solid transparent;
  border-left: 4px solid transparent;
}
.dropup,
.dropdown {
  position: relative;
}
.dropdown-toggle:focus {
  outline: 0;
}
.dropdown-menu {
  position: absolute;
  top: 100%;
  left: 0;
  z-index: 1000;
  display: none;
  float: left;
  min-width: 160px;
  padding: 5px 0;
  margin: 2px 0 0;
  list-style: none;
  font-size: 13px;
  text-align: left;
  background-color: #fff;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.15);
  border-radius: 2px;
  -webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  background-clip: padding-box;
}
.dropdown-menu.pull-right {
  right: 0;
  left: auto;
}
.dropdown-menu .divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.dropdown-menu > li > a {
  display: block;
  padding: 3px 20px;
  clear: both;
  font-weight: normal;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  text-decoration: none;
  color: #262626;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #fff;
  text-decoration: none;
  outline: 0;
  background-color: #337ab7;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  text-decoration: none;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
  cursor: not-allowed;
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  left: auto;
  right: 0;
}
.dropdown-menu-left {
  left: 0;
  right: auto;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  left: 0;
  right: 0;
  bottom: 0;
  top: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
  content: "";
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    left: auto;
    right: 0;
  }
  .navbar-right .dropdown-menu-left {
    left: 0;
    right: auto;
  }
}
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
  position: relative;
  float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
  z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
  margin-left: -1px;
}
.btn-toolbar {
  margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
  float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
  margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}
.btn-group > .btn:first-child {
  margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-left: 8px;
  padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-left: 12px;
  padding-right: 12px;
}
.btn-group.open .dropdown-toggle {
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn .caret {
  margin-left: 0;
}
.btn-lg .caret {
  border-width: 5px 5px 0;
  border-bottom-width: 0;
}
.dropup .btn-lg .caret {
  border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
  display: block;
  float: none;
  width: 100%;
  max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
  float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
  margin-top: -1px;
  margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  float: none;
  display: table-cell;
  width: 1%;
}
.btn-group-justified > .btn-group .btn {
  width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
  left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
  position: absolute;
  clip: rect(0, 0, 0, 0);
  pointer-events: none;
}
.input-group {
  position: relative;
  display: table;
  border-collapse: separate;
}
.input-group[class*="col-"] {
  float: none;
  padding-left: 0;
  padding-right: 0;
}
.input-group .form-control {
  position: relative;
  z-index: 2;
  float: left;
  width: 100%;
  margin-bottom: 0;
}
.input-group .form-control:focus {
  z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
  height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
  height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
  display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.input-group-addon,
.input-group-btn {
  width: 1%;
  white-space: nowrap;
  vertical-align: middle;
}
.input-group-addon {
  padding: 6px 12px;
  font-size: 13px;
  font-weight: normal;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #ccc;
  border-radius: 2px;
}
.input-group-addon.input-sm {
  padding: 5px 10px;
  font-size: 12px;
  border-radius: 1px;
}
.input-group-addon.input-lg {
  padding: 10px 16px;
  font-size: 17px;
  border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
  margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.input-group-addon:first-child {
  border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.input-group-addon:last-child {
  border-left: 0;
}
.input-group-btn {
  position: relative;
  font-size: 0;
  white-space: nowrap;
}
.input-group-btn > .btn {
  position: relative;
}
.input-group-btn > .btn + .btn {
  margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
  z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
  margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
  z-index: 2;
  margin-left: -1px;
}
.nav {
  margin-bottom: 0;
  padding-left: 0;
  list-style: none;
}
.nav > li {
  position: relative;
  display: block;
}
.nav > li > a {
  position: relative;
  display: block;
  padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.nav > li.disabled > a {
  color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
  color: #777777;
  text-decoration: none;
  background-color: transparent;
  cursor: not-allowed;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #337ab7;
}
.nav .nav-divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.nav > li > a > img {
  max-width: none;
}
.nav-tabs {
  border-bottom: 1px solid #ddd;
}
.nav-tabs > li {
  float: left;
  margin-bottom: -1px;
}
.nav-tabs > li > a {
  margin-right: 2px;
  line-height: 1.42857143;
  border: 1px solid transparent;
  border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
  border-color: #eeeeee #eeeeee #ddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  background-color: #fff;
  border: 1px solid #ddd;
  border-bottom-color: transparent;
  cursor: default;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-tabs.nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs.nav-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs.nav-justified > .active > a,
  .nav-tabs.nav-justified > .active > a:hover,
  .nav-tabs.nav-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.nav-pills > li {
  float: left;
}
.nav-pills > li > a {
  border-radius: 2px;
}
.nav-pills > li + li {
  margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
  color: #fff;
  background-color: #337ab7;
}
.nav-stacked > li {
  float: none;
}
.nav-stacked > li + li {
  margin-top: 2px;
  margin-left: 0;
}
.nav-justified {
  width: 100%;
}
.nav-justified > li {
  float: none;
}
.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs-justified {
  border-bottom: 0;
}
.nav-tabs-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs-justified > .active > a,
  .nav-tabs-justified > .active > a:hover,
  .nav-tabs-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar {
  position: relative;
  min-height: 30px;
  margin-bottom: 18px;
  border: 1px solid transparent;
}
@media (min-width: 541px) {
  .navbar {
    border-radius: 2px;
  }
}
@media (min-width: 541px) {
  .navbar-header {
    float: left;
  }
}
.navbar-collapse {
  overflow-x: visible;
  padding-right: 0px;
  padding-left: 0px;
  border-top: 1px solid transparent;
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
  -webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
  overflow-y: auto;
}
@media (min-width: 541px) {
  .navbar-collapse {
    width: auto;
    border-top: 0;
    box-shadow: none;
  }
  .navbar-collapse.collapse {
    display: block !important;
    height: auto !important;
    padding-bottom: 0;
    overflow: visible !important;
  }
  .navbar-collapse.in {
    overflow-y: visible;
  }
  .navbar-fixed-top .navbar-collapse,
  .navbar-static-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    padding-left: 0;
    padding-right: 0;
  }
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
  max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
  .navbar-fixed-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    max-height: 200px;
  }
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 541px) {
  .container > .navbar-header,
  .container-fluid > .navbar-header,
  .container > .navbar-collapse,
  .container-fluid > .navbar-collapse {
    margin-right: 0;
    margin-left: 0;
  }
}
.navbar-static-top {
  z-index: 1000;
  border-width: 0 0 1px;
}
@media (min-width: 541px) {
  .navbar-static-top {
    border-radius: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
@media (min-width: 541px) {
  .navbar-fixed-top,
  .navbar-fixed-bottom {
    border-radius: 0;
  }
}
.navbar-fixed-top {
  top: 0;
  border-width: 0 0 1px;
}
.navbar-fixed-bottom {
  bottom: 0;
  margin-bottom: 0;
  border-width: 1px 0 0;
}
.navbar-brand {
  float: left;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
  height: 30px;
}
.navbar-brand:hover,
.navbar-brand:focus {
  text-decoration: none;
}
.navbar-brand > img {
  display: block;
}
@media (min-width: 541px) {
  .navbar > .container .navbar-brand,
  .navbar > .container-fluid .navbar-brand {
    margin-left: 0px;
  }
}
.navbar-toggle {
  position: relative;
  float: right;
  margin-right: 0px;
  padding: 9px 10px;
  margin-top: -2px;
  margin-bottom: -2px;
  background-color: transparent;
  background-image: none;
  border: 1px solid transparent;
  border-radius: 2px;
}
.navbar-toggle:focus {
  outline: 0;
}
.navbar-toggle .icon-bar {
  display: block;
  width: 22px;
  height: 2px;
  border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
  margin-top: 4px;
}
@media (min-width: 541px) {
  .navbar-toggle {
    display: none;
  }
}
.navbar-nav {
  margin: 3px 0px;
}
.navbar-nav > li > a {
  padding-top: 10px;
  padding-bottom: 10px;
  line-height: 18px;
}
@media (max-width: 540px) {
  .navbar-nav .open .dropdown-menu {
    position: static;
    float: none;
    width: auto;
    margin-top: 0;
    background-color: transparent;
    border: 0;
    box-shadow: none;
  }
  .navbar-nav .open .dropdown-menu > li > a,
  .navbar-nav .open .dropdown-menu .dropdown-header {
    padding: 5px 15px 5px 25px;
  }
  .navbar-nav .open .dropdown-menu > li > a {
    line-height: 18px;
  }
  .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-nav .open .dropdown-menu > li > a:focus {
    background-image: none;
  }
}
@media (min-width: 541px) {
  .navbar-nav {
    float: left;
    margin: 0;
  }
  .navbar-nav > li {
    float: left;
  }
  .navbar-nav > li > a {
    padding-top: 6px;
    padding-bottom: 6px;
  }
}
.navbar-form {
  margin-left: 0px;
  margin-right: 0px;
  padding: 10px 0px;
  border-top: 1px solid transparent;
  border-bottom: 1px solid transparent;
  -webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  margin-top: -1px;
  margin-bottom: -1px;
}
@media (min-width: 768px) {
  .navbar-form .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .navbar-form .form-control-static {
    display: inline-block;
  }
  .navbar-form .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .navbar-form .input-group .input-group-addon,
  .navbar-form .input-group .input-group-btn,
  .navbar-form .input-group .form-control {
    width: auto;
  }
  .navbar-form .input-group > .form-control {
    width: 100%;
  }
  .navbar-form .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio,
  .navbar-form .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio label,
  .navbar-form .checkbox label {
    padding-left: 0;
  }
  .navbar-form .radio input[type="radio"],
  .navbar-form .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .navbar-form .has-feedback .form-control-feedback {
    top: 0;
  }
}
@media (max-width: 540px) {
  .navbar-form .form-group {
    margin-bottom: 5px;
  }
  .navbar-form .form-group:last-child {
    margin-bottom: 0;
  }
}
@media (min-width: 541px) {
  .navbar-form {
    width: auto;
    border: 0;
    margin-left: 0;
    margin-right: 0;
    padding-top: 0;
    padding-bottom: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.navbar-btn {
  margin-top: -1px;
  margin-bottom: -1px;
}
.navbar-btn.btn-sm {
  margin-top: 0px;
  margin-bottom: 0px;
}
.navbar-btn.btn-xs {
  margin-top: 4px;
  margin-bottom: 4px;
}
.navbar-text {
  margin-top: 6px;
  margin-bottom: 6px;
}
@media (min-width: 541px) {
  .navbar-text {
    float: left;
    margin-left: 0px;
    margin-right: 0px;
  }
}
@media (min-width: 541px) {
  .navbar-left {
    float: left !important;
    float: left;
  }
  .navbar-right {
    float: right !important;
    float: right;
    margin-right: 0px;
  }
  .navbar-right ~ .navbar-right {
    margin-right: 0;
  }
}
.navbar-default {
  background-color: #f8f8f8;
  border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
  color: #777;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #5e5e5e;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777;
}
.navbar-default .navbar-nav > li > a {
  color: #777;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #ccc;
  background-color: transparent;
}
.navbar-default .navbar-toggle {
  border-color: #ddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #ddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  background-color: #e7e7e7;
  color: #555;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #777;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333;
    background-color: transparent;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #555;
    background-color: #e7e7e7;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #ccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-link {
  color: #777;
}
.navbar-default .navbar-link:hover {
  color: #333;
}
.navbar-default .btn-link {
  color: #777;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
  color: #ccc;
}
.navbar-inverse {
  background-color: #222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-text {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #fff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444;
  background-color: transparent;
}
.navbar-inverse .navbar-toggle {
  border-color: #333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #fff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  background-color: #080808;
  color: #fff;
}
@media (max-width: 540px) {
  .navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
    border-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu .divider {
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
    color: #9d9d9d;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #fff;
    background-color: transparent;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #fff;
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #fff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #fff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
  color: #444;
}
.breadcrumb {
  padding: 8px 15px;
  margin-bottom: 18px;
  list-style: none;
  background-color: #f5f5f5;
  border-radius: 2px;
}
.breadcrumb > li {
  display: inline-block;
}
.breadcrumb > li + li:before {
  content: "/\00a0";
  padding: 0 5px;
  color: #5e5e5e;
}
.breadcrumb > .active {
  color: #777777;
}
.pagination {
  display: inline-block;
  padding-left: 0;
  margin: 18px 0;
  border-radius: 2px;
}
.pagination > li {
  display: inline;
}
.pagination > li > a,
.pagination > li > span {
  position: relative;
  float: left;
  padding: 6px 12px;
  line-height: 1.42857143;
  text-decoration: none;
  color: #337ab7;
  background-color: #fff;
  border: 1px solid #ddd;
  margin-left: -1px;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-bottom-right-radius: 2px;
  border-top-right-radius: 2px;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #23527c;
  background-color: #eeeeee;
  border-color: #ddd;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
  z-index: 3;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
  cursor: default;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  background-color: #fff;
  border-color: #ddd;
  cursor: not-allowed;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
  border-bottom-left-radius: 3px;
  border-top-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-bottom-right-radius: 3px;
  border-top-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
  border-bottom-left-radius: 1px;
  border-top-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-bottom-right-radius: 1px;
  border-top-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  list-style: none;
  text-align: center;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
  float: right;
}
.pager .previous > a,
.pager .previous > span {
  float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
  color: #777777;
  background-color: #fff;
  cursor: not-allowed;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: bold;
  line-height: 1;
  color: #fff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.label:empty {
  display: none;
}
.btn .label {
  position: relative;
  top: -1px;
}
.label-default {
  background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
  background-color: #5e5e5e;
}
.label-primary {
  background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
  background-color: #286090;
}
.label-success {
  background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
  background-color: #449d44;
}
.label-info {
  background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
  background-color: #31b0d5;
}
.label-warning {
  background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
  background-color: #ec971f;
}
.label-danger {
  background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
  background-color: #c9302c;
}
.badge {
  display: inline-block;
  min-width: 10px;
  padding: 3px 7px;
  font-size: 12px;
  font-weight: bold;
  color: #fff;
  line-height: 1;
  vertical-align: middle;
  white-space: nowrap;
  text-align: center;
  background-color: #777777;
  border-radius: 10px;
}
.badge:empty {
  display: none;
}
.btn .badge {
  position: relative;
  top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
  top: 0;
  padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #337ab7;
  background-color: #fff;
}
.list-group-item > .badge {
  float: right;
}
.list-group-item > .badge + .badge {
  margin-right: 5px;
}
.nav-pills > li > a > .badge {
  margin-left: 3px;
}
.jumbotron {
  padding-top: 30px;
  padding-bottom: 30px;
  margin-bottom: 30px;
  color: inherit;
  background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
  color: inherit;
}
.jumbotron p {
  margin-bottom: 15px;
  font-size: 20px;
  font-weight: 200;
}
.jumbotron > hr {
  border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
  border-radius: 3px;
  padding-left: 0px;
  padding-right: 0px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-left: 60px;
    padding-right: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: border 0.2s ease-in-out;
  -o-transition: border 0.2s ease-in-out;
  transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
  margin-left: auto;
  margin-right: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #337ab7;
}
.thumbnail .caption {
  padding: 9px;
  color: #000;
}
.alert {
  padding: 15px;
  margin-bottom: 18px;
  border: 1px solid transparent;
  border-radius: 2px;
}
.alert h4 {
  margin-top: 0;
  color: inherit;
}
.alert .alert-link {
  font-weight: bold;
}
.alert > p,
.alert > ul {
  margin-bottom: 0;
}
.alert > p + p {
  margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
  padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
  position: relative;
  top: -2px;
  right: -21px;
  color: inherit;
}
.alert-success {
  background-color: #dff0d8;
  border-color: #d6e9c6;
  color: #3c763d;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  background-color: #d9edf7;
  border-color: #bce8f1;
  color: #31708f;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  background-color: #fcf8e3;
  border-color: #faebcc;
  color: #8a6d3b;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  background-color: #f2dede;
  border-color: #ebccd1;
  color: #a94442;
}
.alert-danger hr {
  border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
  color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
@keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
.progress {
  overflow: hidden;
  height: 18px;
  margin-bottom: 18px;
  background-color: #f5f5f5;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
  box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
  float: left;
  width: 0%;
  height: 100%;
  font-size: 12px;
  line-height: 18px;
  color: #fff;
  text-align: center;
  background-color: #337ab7;
  -webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  -webkit-transition: width 0.6s ease;
  -o-transition: width 0.6s ease;
  transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
  -webkit-animation: progress-bar-stripes 2s linear infinite;
  -o-animation: progress-bar-stripes 2s linear infinite;
  animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
  background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
  background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
  background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
  background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
  margin-top: 15px;
}
.media:first-child {
  margin-top: 0;
}
.media,
.media-body {
  zoom: 1;
  overflow: hidden;
}
.media-body {
  width: 10000px;
}
.media-object {
  display: block;
}
.media-object.img-thumbnail {
  max-width: none;
}
.media-right,
.media > .pull-right {
  padding-left: 10px;
}
.media-left,
.media > .pull-left {
  padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
  display: table-cell;
  vertical-align: top;
}
.media-middle {
  vertical-align: middle;
}
.media-bottom {
  vertical-align: bottom;
}
.media-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.media-list {
  padding-left: 0;
  list-style: none;
}
.list-group {
  margin-bottom: 20px;
  padding-left: 0;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #fff;
  border: 1px solid #ddd;
}
.list-group-item:first-child {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
a.list-group-item,
button.list-group-item {
  color: #555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  text-decoration: none;
  color: #555;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  background-color: #eeeeee;
  color: #777777;
  cursor: not-allowed;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
  color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
  color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
  z-index: 2;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
  color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
  color: #c7ddef;
}
.list-group-item-success {
  color: #3c763d;
  background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
  color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
  color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
  color: #3c763d;
  background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
  color: #fff;
  background-color: #3c763d;
  border-color: #3c763d;
}
.list-group-item-info {
  color: #31708f;
  background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
  color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
  color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
  color: #31708f;
  background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
  color: #fff;
  background-color: #31708f;
  border-color: #31708f;
}
.list-group-item-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
  color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
  color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
  color: #8a6d3b;
  background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
  color: #fff;
  background-color: #8a6d3b;
  border-color: #8a6d3b;
}
.list-group-item-danger {
  color: #a94442;
  background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
  color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
  color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
  color: #a94442;
  background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
  color: #fff;
  background-color: #a94442;
  border-color: #a94442;
}
.list-group-item-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.list-group-item-text {
  margin-bottom: 0;
  line-height: 1.3;
}
.panel {
  margin-bottom: 18px;
  background-color: #fff;
  border: 1px solid transparent;
  border-radius: 2px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
  padding: 15px;
}
.panel-heading {
  padding: 10px 15px;
  border-bottom: 1px solid transparent;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
  color: inherit;
}
.panel-title {
  margin-top: 0;
  margin-bottom: 0;
  font-size: 15px;
  color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
  color: inherit;
}
.panel-footer {
  padding: 10px 15px;
  background-color: #f5f5f5;
  border-top: 1px solid #ddd;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
  margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
  border-width: 1px 0;
  border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
  border-top: 0;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
  border-bottom: 0;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
  border-top-width: 0;
}
.list-group + .panel-footer {
  border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
  margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
  padding-left: 15px;
  padding-right: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
  border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
  border-bottom-left-radius: 1px;
  border-bottom-right-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
  border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
  border-top: 1px solid #ddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
  border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
  border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
  border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
  border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
  border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
  border-bottom: 0;
}
.panel > .table-responsive {
  border: 0;
  margin-bottom: 0;
}
.panel-group {
  margin-bottom: 18px;
}
.panel-group .panel {
  margin-bottom: 0;
  border-radius: 2px;
}
.panel-group .panel + .panel {
  margin-top: 5px;
}
.panel-group .panel-heading {
  border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
  border-top: 1px solid #ddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #ddd;
}
.panel-default {
  border-color: #ddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #ddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
  color: #337ab7;
  background-color: #fff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #337ab7;
}
.panel-success {
  border-color: #d6e9c6;
}
.panel-success > .panel-heading {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
  color: #dff0d8;
  background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #d6e9c6;
}
.panel-info {
  border-color: #bce8f1;
}
.panel-info > .panel-heading {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
  color: #d9edf7;
  background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #bce8f1;
}
.panel-warning {
  border-color: #faebcc;
}
.panel-warning > .panel-heading {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
  color: #fcf8e3;
  background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #faebcc;
}
.panel-danger {
  border-color: #ebccd1;
}
.panel-danger > .panel-heading {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
  color: #f2dede;
  background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ebccd1;
}
.embed-responsive {
  position: relative;
  display: block;
  height: 0;
  padding: 0;
  overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  height: 100%;
  width: 100%;
  border: 0;
}
.embed-responsive-16by9 {
  padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
  padding-bottom: 75%;
}
.well {
  min-height: 20px;
  padding: 19px;
  margin-bottom: 20px;
  background-color: #f5f5f5;
  border: 1px solid #e3e3e3;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
  border-color: #ddd;
  border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
  padding: 24px;
  border-radius: 3px;
}
.well-sm {
  padding: 9px;
  border-radius: 1px;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000;
  text-shadow: 0 1px 0 #fff;
  opacity: 0.2;
  filter: alpha(opacity=20);
}
.close:hover,
.close:focus {
  color: #000;
  text-decoration: none;
  cursor: pointer;
  opacity: 0.5;
  filter: alpha(opacity=50);
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  display: none;
  overflow: hidden;
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  -webkit-overflow-scrolling: touch;
  outline: 0;
}
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
  -ms-transform: translate(0, -25%);
  -o-transform: translate(0, -25%);
  transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
  -moz-transition: -moz-transform 0.3s ease-out;
  -o-transition: -o-transform 0.3s ease-out;
  transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
.modal-open .modal {
  overflow-x: hidden;
  overflow-y: auto;
}
.modal-dialog {
  position: relative;
  width: auto;
  margin: 10px;
}
.modal-content {
  position: relative;
  background-color: #fff;
  border: 1px solid #999;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  background-clip: padding-box;
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000;
}
.modal-backdrop.fade {
  opacity: 0;
  filter: alpha(opacity=0);
}
.modal-backdrop.in {
  opacity: 0.5;
  filter: alpha(opacity=50);
}
.modal-header {
  padding: 15px;
  border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
  margin-top: -2px;
}
.modal-title {
  margin: 0;
  line-height: 1.42857143;
}
.modal-body {
  position: relative;
  padding: 15px;
}
.modal-footer {
  padding: 15px;
  text-align: right;
  border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
  margin-left: 5px;
  margin-bottom: 0;
}
.modal-footer .btn-group .btn + .btn {
  margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
  margin-left: 0;
}
.modal-scrollbar-measure {
  position: absolute;
  top: -9999px;
  width: 50px;
  height: 50px;
  overflow: scroll;
}
@media (min-width: 768px) {
  .modal-dialog {
    width: 600px;
    margin: 30px auto;
  }
  .modal-content {
    -webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
    box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
  }
  .modal-sm {
    width: 300px;
  }
}
@media (min-width: 992px) {
  .modal-lg {
    width: 900px;
  }
}
.tooltip {
  position: absolute;
  z-index: 1070;
  display: block;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 12px;
  opacity: 0;
  filter: alpha(opacity=0);
}
.tooltip.in {
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.tooltip.top {
  margin-top: -3px;
  padding: 5px 0;
}
.tooltip.right {
  margin-left: 3px;
  padding: 0 5px;
}
.tooltip.bottom {
  margin-top: 3px;
  padding: 5px 0;
}
.tooltip.left {
  margin-left: -3px;
  padding: 0 5px;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #fff;
  text-align: center;
  background-color: #000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-left .tooltip-arrow {
  bottom: 0;
  right: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.popover {
  position: absolute;
  top: 0;
  left: 0;
  z-index: 1060;
  display: none;
  max-width: 276px;
  padding: 1px;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 13px;
  background-color: #fff;
  background-clip: padding-box;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
  box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
  margin-top: -10px;
}
.popover.right {
  margin-left: 10px;
}
.popover.bottom {
  margin-top: 10px;
}
.popover.left {
  margin-left: -10px;
}
.popover-title {
  margin: 0;
  padding: 8px 14px;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow {
  border-width: 11px;
}
.popover > .arrow:after {
  border-width: 10px;
  content: "";
}
.popover.top > .arrow {
  left: 50%;
  margin-left: -11px;
  border-bottom-width: 0;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  bottom: -11px;
}
.popover.top > .arrow:after {
  content: " ";
  bottom: 1px;
  margin-left: -10px;
  border-bottom-width: 0;
  border-top-color: #fff;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-left-width: 0;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
}
.popover.right > .arrow:after {
  content: " ";
  left: 1px;
  bottom: -10px;
  border-left-width: 0;
  border-right-color: #fff;
}
.popover.bottom > .arrow {
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
  top: -11px;
}
.popover.bottom > .arrow:after {
  content: " ";
  top: 1px;
  margin-left: -10px;
  border-top-width: 0;
  border-bottom-color: #fff;
}
.popover.left > .arrow {
  top: 50%;
  right: -11px;
  margin-top: -11px;
  border-right-width: 0;
  border-left-color: #999999;
  border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
  content: " ";
  right: 1px;
  border-right-width: 0;
  border-left-color: #fff;
  bottom: -10px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  overflow: hidden;
  width: 100%;
}
.carousel-inner > .item {
  display: none;
  position: relative;
  -webkit-transition: 0.6s ease-in-out left;
  -o-transition: 0.6s ease-in-out left;
  transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
  .carousel-inner > .item {
    -webkit-transition: -webkit-transform 0.6s ease-in-out;
    -moz-transition: -moz-transform 0.6s ease-in-out;
    -o-transition: -o-transform 0.6s ease-in-out;
    transition: transform 0.6s ease-in-out;
    -webkit-backface-visibility: hidden;
    -moz-backface-visibility: hidden;
    backface-visibility: hidden;
    -webkit-perspective: 1000px;
    -moz-perspective: 1000px;
    perspective: 1000px;
  }
  .carousel-inner > .item.next,
  .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(100%, 0, 0);
    transform: translate3d(100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.prev,
  .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(-100%, 0, 0);
    transform: translate3d(-100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.next.left,
  .carousel-inner > .item.prev.right,
  .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
    transform: translate3d(0, 0, 0);
    left: 0;
  }
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
  display: block;
}
.carousel-inner > .active {
  left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
  position: absolute;
  top: 0;
  width: 100%;
}
.carousel-inner > .next {
  left: 100%;
}
.carousel-inner > .prev {
  left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
  left: 0;
}
.carousel-inner > .active.left {
  left: -100%;
}
.carousel-inner > .active.right {
  left: 100%;
}
.carousel-control {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  width: 15%;
  opacity: 0.5;
  filter: alpha(opacity=50);
  font-size: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
}
.carousel-control.left {
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
}
.carousel-control.right {
  left: auto;
  right: 0;
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
}
.carousel-control:hover,
.carousel-control:focus {
  outline: 0;
  color: #fff;
  text-decoration: none;
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  margin-top: -10px;
  z-index: 5;
  display: inline-block;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
  left: 50%;
  margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
  right: 50%;
  margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
  width: 20px;
  height: 20px;
  line-height: 1;
  font-family: serif;
}
.carousel-control .icon-prev:before {
  content: '\2039';
}
.carousel-control .icon-next:before {
  content: '\203a';
}
.carousel-indicators {
  position: absolute;
  bottom: 10px;
  left: 50%;
  z-index: 15;
  width: 60%;
  margin-left: -30%;
  padding-left: 0;
  list-style: none;
  text-align: center;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  border: 1px solid #fff;
  border-radius: 10px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
}
.carousel-indicators .active {
  margin: 0;
  width: 12px;
  height: 12px;
  background-color: #fff;
}
.carousel-caption {
  position: absolute;
  left: 15%;
  right: 15%;
  bottom: 20px;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
  text-shadow: none;
}
@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-prev,
  .carousel-control .icon-next {
    width: 30px;
    height: 30px;
    margin-top: -10px;
    font-size: 30px;
  }
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .icon-prev {
    margin-left: -10px;
  }
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-next {
    margin-right: -10px;
  }
  .carousel-caption {
    left: 20%;
    right: 20%;
    padding-bottom: 30px;
  }
  .carousel-indicators {
    bottom: 20px;
  }
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
  content: " ";
  display: table;
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
  clear: both;
}
.center-block {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.pull-right {
  float: right !important;
}
.pull-left {
  float: left !important;
}
.hide {
  display: none !important;
}
.show {
  display: block !important;
}
.invisible {
  visibility: hidden;
}
.text-hide {
  font: 0/0 a;
  color: transparent;
  text-shadow: none;
  background-color: transparent;
  border: 0;
}
.hidden {
  display: none !important;
}
.affix {
  position: fixed;
}
@-ms-viewport {
  width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
  display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
  display: none !important;
}
@media (max-width: 767px) {
  .visible-xs {
    display: block !important;
  }
  table.visible-xs {
    display: table !important;
  }
  tr.visible-xs {
    display: table-row !important;
  }
  th.visible-xs,
  td.visible-xs {
    display: table-cell !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-block {
    display: block !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline {
    display: inline !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm {
    display: block !important;
  }
  table.visible-sm {
    display: table !important;
  }
  tr.visible-sm {
    display: table-row !important;
  }
  th.visible-sm,
  td.visible-sm {
    display: table-cell !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-block {
    display: block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline {
    display: inline !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md {
    display: block !important;
  }
  table.visible-md {
    display: table !important;
  }
  tr.visible-md {
    display: table-row !important;
  }
  th.visible-md,
  td.visible-md {
    display: table-cell !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-block {
    display: block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline {
    display: inline !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg {
    display: block !important;
  }
  table.visible-lg {
    display: table !important;
  }
  tr.visible-lg {
    display: table-row !important;
  }
  th.visible-lg,
  td.visible-lg {
    display: table-cell !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-block {
    display: block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline {
    display: inline !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline-block {
    display: inline-block !important;
  }
}
@media (max-width: 767px) {
  .hidden-xs {
    display: none !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .hidden-sm {
    display: none !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .hidden-md {
    display: none !important;
  }
}
@media (min-width: 1200px) {
  .hidden-lg {
    display: none !important;
  }
}
.visible-print {
  display: none !important;
}
@media print {
  .visible-print {
    display: block !important;
  }
  table.visible-print {
    display: table !important;
  }
  tr.visible-print {
    display: table-row !important;
  }
  th.visible-print,
  td.visible-print {
    display: table-cell !important;
  }
}
.visible-print-block {
  display: none !important;
}
@media print {
  .visible-print-block {
    display: block !important;
  }
}
.visible-print-inline {
  display: none !important;
}
@media print {
  .visible-print-inline {
    display: inline !important;
  }
}
.visible-print-inline-block {
  display: none !important;
}
@media print {
  .visible-print-inline-block {
    display: inline-block !important;
  }
}
@media print {
  .hidden-print {
    display: none !important;
  }
}
/*!
*
* Font Awesome
*
*/
/*!
 *  Font Awesome 4.7.0 by @davegandy - http://fontawesome.io - @fontawesome
 *  License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
 */
/* FONT PATH
 * -------------------------- */
@font-face {
  font-family: 'FontAwesome';
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.7.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.7.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.7.0') format('woff2'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.7.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.7.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.7.0#fontawesomeregular') format('svg');
  font-weight: normal;
  font-style: normal;
}
.fa {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
  font-size: 1.33333333em;
  line-height: 0.75em;
  vertical-align: -15%;
}
.fa-2x {
  font-size: 2em;
}
.fa-3x {
  font-size: 3em;
}
.fa-4x {
  font-size: 4em;
}
.fa-5x {
  font-size: 5em;
}
.fa-fw {
  width: 1.28571429em;
  text-align: center;
}
.fa-ul {
  padding-left: 0;
  margin-left: 2.14285714em;
  list-style-type: none;
}
.fa-ul > li {
  position: relative;
}
.fa-li {
  position: absolute;
  left: -2.14285714em;
  width: 2.14285714em;
  top: 0.14285714em;
  text-align: center;
}
.fa-li.fa-lg {
  left: -1.85714286em;
}
.fa-border {
  padding: .2em .25em .15em;
  border: solid 0.08em #eee;
  border-radius: .1em;
}
.fa-pull-left {
  float: left;
}
.fa-pull-right {
  float: right;
}
.fa.fa-pull-left {
  margin-right: .3em;
}
.fa.fa-pull-right {
  margin-left: .3em;
}
/* Deprecated as of 4.4.0 */
.pull-right {
  float: right;
}
.pull-left {
  float: left;
}
.fa.pull-left {
  margin-right: .3em;
}
.fa.pull-right {
  margin-left: .3em;
}
.fa-spin {
  -webkit-animation: fa-spin 2s infinite linear;
  animation: fa-spin 2s infinite linear;
}
.fa-pulse {
  -webkit-animation: fa-spin 1s infinite steps(8);
  animation: fa-spin 1s infinite steps(8);
}
@-webkit-keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
@keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
.fa-rotate-90 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1)";
  -webkit-transform: scale(-1, 1);
  -ms-transform: scale(-1, 1);
  transform: scale(-1, 1);
}
.fa-flip-vertical {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)";
  -webkit-transform: scale(1, -1);
  -ms-transform: scale(1, -1);
  transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
  filter: none;
}
.fa-stack {
  position: relative;
  display: inline-block;
  width: 2em;
  height: 2em;
  line-height: 2em;
  vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
  position: absolute;
  left: 0;
  width: 100%;
  text-align: center;
}
.fa-stack-1x {
  line-height: inherit;
}
.fa-stack-2x {
  font-size: 2em;
}
.fa-inverse {
  color: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook-f:before,
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-feed:before,
.fa-rss:before {
  content: "\f09e";
}
.fa-hdd-o:before {
  content: "\f0a0";
}
.fa-bullhorn:before {
  content: "\f0a1";
}
.fa-bell:before {
  content: "\f0f3";
}
.fa-certificate:before {
  content: "\f0a3";
}
.fa-hand-o-right:before {
  content: "\f0a4";
}
.fa-hand-o-left:before {
  content: "\f0a5";
}
.fa-hand-o-up:before {
  content: "\f0a6";
}
.fa-hand-o-down:before {
  content: "\f0a7";
}
.fa-arrow-circle-left:before {
  content: "\f0a8";
}
.fa-arrow-circle-right:before {
  content: "\f0a9";
}
.fa-arrow-circle-up:before {
  content: "\f0aa";
}
.fa-arrow-circle-down:before {
  content: "\f0ab";
}
.fa-globe:before {
  content: "\f0ac";
}
.fa-wrench:before {
  content: "\f0ad";
}
.fa-tasks:before {
  content: "\f0ae";
}
.fa-filter:before {
  content: "\f0b0";
}
.fa-briefcase:before {
  content: "\f0b1";
}
.fa-arrows-alt:before {
  content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
  content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
  content: "\f0c1";
}
.fa-cloud:before {
  content: "\f0c2";
}
.fa-flask:before {
  content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
  content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
  content: "\f0c5";
}
.fa-paperclip:before {
  content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
  content: "\f0c7";
}
.fa-square:before {
  content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
  content: "\f0c9";
}
.fa-list-ul:before {
  content: "\f0ca";
}
.fa-list-ol:before {
  content: "\f0cb";
}
.fa-strikethrough:before {
  content: "\f0cc";
}
.fa-underline:before {
  content: "\f0cd";
}
.fa-table:before {
  content: "\f0ce";
}
.fa-magic:before {
  content: "\f0d0";
}
.fa-truck:before {
  content: "\f0d1";
}
.fa-pinterest:before {
  content: "\f0d2";
}
.fa-pinterest-square:before {
  content: "\f0d3";
}
.fa-google-plus-square:before {
  content: "\f0d4";
}
.fa-google-plus:before {
  content: "\f0d5";
}
.fa-money:before {
  content: "\f0d6";
}
.fa-caret-down:before {
  content: "\f0d7";
}
.fa-caret-up:before {
  content: "\f0d8";
}
.fa-caret-left:before {
  content: "\f0d9";
}
.fa-caret-right:before {
  content: "\f0da";
}
.fa-columns:before {
  content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
  content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
  content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
  content: "\f0de";
}
.fa-envelope:before {
  content: "\f0e0";
}
.fa-linkedin:before {
  content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
  content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
  content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
  content: "\f0e4";
}
.fa-comment-o:before {
  content: "\f0e5";
}
.fa-comments-o:before {
  content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
  content: "\f0e7";
}
.fa-sitemap:before {
  content: "\f0e8";
}
.fa-umbrella:before {
  content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
  content: "\f0ea";
}
.fa-lightbulb-o:before {
  content: "\f0eb";
}
.fa-exchange:before {
  content: "\f0ec";
}
.fa-cloud-download:before {
  content: "\f0ed";
}
.fa-cloud-upload:before {
  content: "\f0ee";
}
.fa-user-md:before {
  content: "\f0f0";
}
.fa-stethoscope:before {
  content: "\f0f1";
}
.fa-suitcase:before {
  content: "\f0f2";
}
.fa-bell-o:before {
  content: "\f0a2";
}
.fa-coffee:before {
  content: "\f0f4";
}
.fa-cutlery:before {
  content: "\f0f5";
}
.fa-file-text-o:before {
  content: "\f0f6";
}
.fa-building-o:before {
  content: "\f0f7";
}
.fa-hospital-o:before {
  content: "\f0f8";
}
.fa-ambulance:before {
  content: "\f0f9";
}
.fa-medkit:before {
  content: "\f0fa";
}
.fa-fighter-jet:before {
  content: "\f0fb";
}
.fa-beer:before {
  content: "\f0fc";
}
.fa-h-square:before {
  content: "\f0fd";
}
.fa-plus-square:before {
  content: "\f0fe";
}
.fa-angle-double-left:before {
  content: "\f100";
}
.fa-angle-double-right:before {
  content: "\f101";
}
.fa-angle-double-up:before {
  content: "\f102";
}
.fa-angle-double-down:before {
  content: "\f103";
}
.fa-angle-left:before {
  content: "\f104";
}
.fa-angle-right:before {
  content: "\f105";
}
.fa-angle-up:before {
  content: "\f106";
}
.fa-angle-down:before {
  content: "\f107";
}
.fa-desktop:before {
  content: "\f108";
}
.fa-laptop:before {
  content: "\f109";
}
.fa-tablet:before {
  content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
  content: "\f10b";
}
.fa-circle-o:before {
  content: "\f10c";
}
.fa-quote-left:before {
  content: "\f10d";
}
.fa-quote-right:before {
  content: "\f10e";
}
.fa-spinner:before {
  content: "\f110";
}
.fa-circle:before {
  content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
  content: "\f112";
}
.fa-github-alt:before {
  content: "\f113";
}
.fa-folder-o:before {
  content: "\f114";
}
.fa-folder-open-o:before {
  content: "\f115";
}
.fa-smile-o:before {
  content: "\f118";
}
.fa-frown-o:before {
  content: "\f119";
}
.fa-meh-o:before {
  content: "\f11a";
}
.fa-gamepad:before {
  content: "\f11b";
}
.fa-keyboard-o:before {
  content: "\f11c";
}
.fa-flag-o:before {
  content: "\f11d";
}
.fa-flag-checkered:before {
  content: "\f11e";
}
.fa-terminal:before {
  content: "\f120";
}
.fa-code:before {
  content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
  content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
  content: "\f123";
}
.fa-location-arrow:before {
  content: "\f124";
}
.fa-crop:before {
  content: "\f125";
}
.fa-code-fork:before {
  content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
  content: "\f127";
}
.fa-question:before {
  content: "\f128";
}
.fa-info:before {
  content: "\f129";
}
.fa-exclamation:before {
  content: "\f12a";
}
.fa-superscript:before {
  content: "\f12b";
}
.fa-subscript:before {
  content: "\f12c";
}
.fa-eraser:before {
  content: "\f12d";
}
.fa-puzzle-piece:before {
  content: "\f12e";
}
.fa-microphone:before {
  content: "\f130";
}
.fa-microphone-slash:before {
  content: "\f131";
}
.fa-shield:before {
  content: "\f132";
}
.fa-calendar-o:before {
  content: "\f133";
}
.fa-fire-extinguisher:before {
  content: "\f134";
}
.fa-rocket:before {
  content: "\f135";
}
.fa-maxcdn:before {
  content: "\f136";
}
.fa-chevron-circle-left:before {
  content: "\f137";
}
.fa-chevron-circle-right:before {
  content: "\f138";
}
.fa-chevron-circle-up:before {
  content: "\f139";
}
.fa-chevron-circle-down:before {
  content: "\f13a";
}
.fa-html5:before {
  content: "\f13b";
}
.fa-css3:before {
  content: "\f13c";
}
.fa-anchor:before {
  content: "\f13d";
}
.fa-unlock-alt:before {
  content: "\f13e";
}
.fa-bullseye:before {
  content: "\f140";
}
.fa-ellipsis-h:before {
  content: "\f141";
}
.fa-ellipsis-v:before {
  content: "\f142";
}
.fa-rss-square:before {
  content: "\f143";
}
.fa-play-circle:before {
  content: "\f144";
}
.fa-ticket:before {
  content: "\f145";
}
.fa-minus-square:before {
  content: "\f146";
}
.fa-minus-square-o:before {
  content: "\f147";
}
.fa-level-up:before {
  content: "\f148";
}
.fa-level-down:before {
  content: "\f149";
}
.fa-check-square:before {
  content: "\f14a";
}
.fa-pencil-square:before {
  content: "\f14b";
}
.fa-external-link-square:before {
  content: "\f14c";
}
.fa-share-square:before {
  content: "\f14d";
}
.fa-compass:before {
  content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
  content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
  content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
  content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
  content: "\f153";
}
.fa-gbp:before {
  content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
  content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
  content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
  content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
  content: "\f158";
}
.fa-won:before,
.fa-krw:before {
  content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
  content: "\f15a";
}
.fa-file:before {
  content: "\f15b";
}
.fa-file-text:before {
  content: "\f15c";
}
.fa-sort-alpha-asc:before {
  content: "\f15d";
}
.fa-sort-alpha-desc:before {
  content: "\f15e";
}
.fa-sort-amount-asc:before {
  content: "\f160";
}
.fa-sort-amount-desc:before {
  content: "\f161";
}
.fa-sort-numeric-asc:before {
  content: "\f162";
}
.fa-sort-numeric-desc:before {
  content: "\f163";
}
.fa-thumbs-up:before {
  content: "\f164";
}
.fa-thumbs-down:before {
  content: "\f165";
}
.fa-youtube-square:before {
  content: "\f166";
}
.fa-youtube:before {
  content: "\f167";
}
.fa-xing:before {
  content: "\f168";
}
.fa-xing-square:before {
  content: "\f169";
}
.fa-youtube-play:before {
  content: "\f16a";
}
.fa-dropbox:before {
  content: "\f16b";
}
.fa-stack-overflow:before {
  content: "\f16c";
}
.fa-instagram:before {
  content: "\f16d";
}
.fa-flickr:before {
  content: "\f16e";
}
.fa-adn:before {
  content: "\f170";
}
.fa-bitbucket:before {
  content: "\f171";
}
.fa-bitbucket-square:before {
  content: "\f172";
}
.fa-tumblr:before {
  content: "\f173";
}
.fa-tumblr-square:before {
  content: "\f174";
}
.fa-long-arrow-down:before {
  content: "\f175";
}
.fa-long-arrow-up:before {
  content: "\f176";
}
.fa-long-arrow-left:before {
  content: "\f177";
}
.fa-long-arrow-right:before {
  content: "\f178";
}
.fa-apple:before {
  content: "\f179";
}
.fa-windows:before {
  content: "\f17a";
}
.fa-android:before {
  content: "\f17b";
}
.fa-linux:before {
  content: "\f17c";
}
.fa-dribbble:before {
  content: "\f17d";
}
.fa-skype:before {
  content: "\f17e";
}
.fa-foursquare:before {
  content: "\f180";
}
.fa-trello:before {
  content: "\f181";
}
.fa-female:before {
  content: "\f182";
}
.fa-male:before {
  content: "\f183";
}
.fa-gittip:before,
.fa-gratipay:before {
  content: "\f184";
}
.fa-sun-o:before {
  content: "\f185";
}
.fa-moon-o:before {
  content: "\f186";
}
.fa-archive:before {
  content: "\f187";
}
.fa-bug:before {
  content: "\f188";
}
.fa-vk:before {
  content: "\f189";
}
.fa-weibo:before {
  content: "\f18a";
}
.fa-renren:before {
  content: "\f18b";
}
.fa-pagelines:before {
  content: "\f18c";
}
.fa-stack-exchange:before {
  content: "\f18d";
}
.fa-arrow-circle-o-right:before {
  content: "\f18e";
}
.fa-arrow-circle-o-left:before {
  content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
  content: "\f191";
}
.fa-dot-circle-o:before {
  content: "\f192";
}
.fa-wheelchair:before {
  content: "\f193";
}
.fa-vimeo-square:before {
  content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
  content: "\f195";
}
.fa-plus-square-o:before {
  content: "\f196";
}
.fa-space-shuttle:before {
  content: "\f197";
}
.fa-slack:before {
  content: "\f198";
}
.fa-envelope-square:before {
  content: "\f199";
}
.fa-wordpress:before {
  content: "\f19a";
}
.fa-openid:before {
  content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
  content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
  content: "\f19d";
}
.fa-yahoo:before {
  content: "\f19e";
}
.fa-google:before {
  content: "\f1a0";
}
.fa-reddit:before {
  content: "\f1a1";
}
.fa-reddit-square:before {
  content: "\f1a2";
}
.fa-stumbleupon-circle:before {
  content: "\f1a3";
}
.fa-stumbleupon:before {
  content: "\f1a4";
}
.fa-delicious:before {
  content: "\f1a5";
}
.fa-digg:before {
  content: "\f1a6";
}
.fa-pied-piper-pp:before {
  content: "\f1a7";
}
.fa-pied-piper-alt:before {
  content: "\f1a8";
}
.fa-drupal:before {
  content: "\f1a9";
}
.fa-joomla:before {
  content: "\f1aa";
}
.fa-language:before {
  content: "\f1ab";
}
.fa-fax:before {
  content: "\f1ac";
}
.fa-building:before {
  content: "\f1ad";
}
.fa-child:before {
  content: "\f1ae";
}
.fa-paw:before {
  content: "\f1b0";
}
.fa-spoon:before {
  content: "\f1b1";
}
.fa-cube:before {
  content: "\f1b2";
}
.fa-cubes:before {
  content: "\f1b3";
}
.fa-behance:before {
  content: "\f1b4";
}
.fa-behance-square:before {
  content: "\f1b5";
}
.fa-steam:before {
  content: "\f1b6";
}
.fa-steam-square:before {
  content: "\f1b7";
}
.fa-recycle:before {
  content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
  content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
  content: "\f1ba";
}
.fa-tree:before {
  content: "\f1bb";
}
.fa-spotify:before {
  content: "\f1bc";
}
.fa-deviantart:before {
  content: "\f1bd";
}
.fa-soundcloud:before {
  content: "\f1be";
}
.fa-database:before {
  content: "\f1c0";
}
.fa-file-pdf-o:before {
  content: "\f1c1";
}
.fa-file-word-o:before {
  content: "\f1c2";
}
.fa-file-excel-o:before {
  content: "\f1c3";
}
.fa-file-powerpoint-o:before {
  content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
  content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
  content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
  content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
  content: "\f1c8";
}
.fa-file-code-o:before {
  content: "\f1c9";
}
.fa-vine:before {
  content: "\f1ca";
}
.fa-codepen:before {
  content: "\f1cb";
}
.fa-jsfiddle:before {
  content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
  content: "\f1cd";
}
.fa-circle-o-notch:before {
  content: "\f1ce";
}
.fa-ra:before,
.fa-resistance:before,
.fa-rebel:before {
  content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
  content: "\f1d1";
}
.fa-git-square:before {
  content: "\f1d2";
}
.fa-git:before {
  content: "\f1d3";
}
.fa-y-combinator-square:before,
.fa-yc-square:before,
.fa-hacker-news:before {
  content: "\f1d4";
}
.fa-tencent-weibo:before {
  content: "\f1d5";
}
.fa-qq:before {
  content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
  content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
  content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
  content: "\f1d9";
}
.fa-history:before {
  content: "\f1da";
}
.fa-circle-thin:before {
  content: "\f1db";
}
.fa-header:before {
  content: "\f1dc";
}
.fa-paragraph:before {
  content: "\f1dd";
}
.fa-sliders:before {
  content: "\f1de";
}
.fa-share-alt:before {
  content: "\f1e0";
}
.fa-share-alt-square:before {
  content: "\f1e1";
}
.fa-bomb:before {
  content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
  content: "\f1e3";
}
.fa-tty:before {
  content: "\f1e4";
}
.fa-binoculars:before {
  content: "\f1e5";
}
.fa-plug:before {
  content: "\f1e6";
}
.fa-slideshare:before {
  content: "\f1e7";
}
.fa-twitch:before {
  content: "\f1e8";
}
.fa-yelp:before {
  content: "\f1e9";
}
.fa-newspaper-o:before {
  content: "\f1ea";
}
.fa-wifi:before {
  content: "\f1eb";
}
.fa-calculator:before {
  content: "\f1ec";
}
.fa-paypal:before {
  content: "\f1ed";
}
.fa-google-wallet:before {
  content: "\f1ee";
}
.fa-cc-visa:before {
  content: "\f1f0";
}
.fa-cc-mastercard:before {
  content: "\f1f1";
}
.fa-cc-discover:before {
  content: "\f1f2";
}
.fa-cc-amex:before {
  content: "\f1f3";
}
.fa-cc-paypal:before {
  content: "\f1f4";
}
.fa-cc-stripe:before {
  content: "\f1f5";
}
.fa-bell-slash:before {
  content: "\f1f6";
}
.fa-bell-slash-o:before {
  content: "\f1f7";
}
.fa-trash:before {
  content: "\f1f8";
}
.fa-copyright:before {
  content: "\f1f9";
}
.fa-at:before {
  content: "\f1fa";
}
.fa-eyedropper:before {
  content: "\f1fb";
}
.fa-paint-brush:before {
  content: "\f1fc";
}
.fa-birthday-cake:before {
  content: "\f1fd";
}
.fa-area-chart:before {
  content: "\f1fe";
}
.fa-pie-chart:before {
  content: "\f200";
}
.fa-line-chart:before {
  content: "\f201";
}
.fa-lastfm:before {
  content: "\f202";
}
.fa-lastfm-square:before {
  content: "\f203";
}
.fa-toggle-off:before {
  content: "\f204";
}
.fa-toggle-on:before {
  content: "\f205";
}
.fa-bicycle:before {
  content: "\f206";
}
.fa-bus:before {
  content: "\f207";
}
.fa-ioxhost:before {
  content: "\f208";
}
.fa-angellist:before {
  content: "\f209";
}
.fa-cc:before {
  content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
  content: "\f20b";
}
.fa-meanpath:before {
  content: "\f20c";
}
.fa-buysellads:before {
  content: "\f20d";
}
.fa-connectdevelop:before {
  content: "\f20e";
}
.fa-dashcube:before {
  content: "\f210";
}
.fa-forumbee:before {
  content: "\f211";
}
.fa-leanpub:before {
  content: "\f212";
}
.fa-sellsy:before {
  content: "\f213";
}
.fa-shirtsinbulk:before {
  content: "\f214";
}
.fa-simplybuilt:before {
  content: "\f215";
}
.fa-skyatlas:before {
  content: "\f216";
}
.fa-cart-plus:before {
  content: "\f217";
}
.fa-cart-arrow-down:before {
  content: "\f218";
}
.fa-diamond:before {
  content: "\f219";
}
.fa-ship:before {
  content: "\f21a";
}
.fa-user-secret:before {
  content: "\f21b";
}
.fa-motorcycle:before {
  content: "\f21c";
}
.fa-street-view:before {
  content: "\f21d";
}
.fa-heartbeat:before {
  content: "\f21e";
}
.fa-venus:before {
  content: "\f221";
}
.fa-mars:before {
  content: "\f222";
}
.fa-mercury:before {
  content: "\f223";
}
.fa-intersex:before,
.fa-transgender:before {
  content: "\f224";
}
.fa-transgender-alt:before {
  content: "\f225";
}
.fa-venus-double:before {
  content: "\f226";
}
.fa-mars-double:before {
  content: "\f227";
}
.fa-venus-mars:before {
  content: "\f228";
}
.fa-mars-stroke:before {
  content: "\f229";
}
.fa-mars-stroke-v:before {
  content: "\f22a";
}
.fa-mars-stroke-h:before {
  content: "\f22b";
}
.fa-neuter:before {
  content: "\f22c";
}
.fa-genderless:before {
  content: "\f22d";
}
.fa-facebook-official:before {
  content: "\f230";
}
.fa-pinterest-p:before {
  content: "\f231";
}
.fa-whatsapp:before {
  content: "\f232";
}
.fa-server:before {
  content: "\f233";
}
.fa-user-plus:before {
  content: "\f234";
}
.fa-user-times:before {
  content: "\f235";
}
.fa-hotel:before,
.fa-bed:before {
  content: "\f236";
}
.fa-viacoin:before {
  content: "\f237";
}
.fa-train:before {
  content: "\f238";
}
.fa-subway:before {
  content: "\f239";
}
.fa-medium:before {
  content: "\f23a";
}
.fa-yc:before,
.fa-y-combinator:before {
  content: "\f23b";
}
.fa-optin-monster:before {
  content: "\f23c";
}
.fa-opencart:before {
  content: "\f23d";
}
.fa-expeditedssl:before {
  content: "\f23e";
}
.fa-battery-4:before,
.fa-battery:before,
.fa-battery-full:before {
  content: "\f240";
}
.fa-battery-3:before,
.fa-battery-three-quarters:before {
  content: "\f241";
}
.fa-battery-2:before,
.fa-battery-half:before {
  content: "\f242";
}
.fa-battery-1:before,
.fa-battery-quarter:before {
  content: "\f243";
}
.fa-battery-0:before,
.fa-battery-empty:before {
  content: "\f244";
}
.fa-mouse-pointer:before {
  content: "\f245";
}
.fa-i-cursor:before {
  content: "\f246";
}
.fa-object-group:before {
  content: "\f247";
}
.fa-object-ungroup:before {
  content: "\f248";
}
.fa-sticky-note:before {
  content: "\f249";
}
.fa-sticky-note-o:before {
  content: "\f24a";
}
.fa-cc-jcb:before {
  content: "\f24b";
}
.fa-cc-diners-club:before {
  content: "\f24c";
}
.fa-clone:before {
  content: "\f24d";
}
.fa-balance-scale:before {
  content: "\f24e";
}
.fa-hourglass-o:before {
  content: "\f250";
}
.fa-hourglass-1:before,
.fa-hourglass-start:before {
  content: "\f251";
}
.fa-hourglass-2:before,
.fa-hourglass-half:before {
  content: "\f252";
}
.fa-hourglass-3:before,
.fa-hourglass-end:before {
  content: "\f253";
}
.fa-hourglass:before {
  content: "\f254";
}
.fa-hand-grab-o:before,
.fa-hand-rock-o:before {
  content: "\f255";
}
.fa-hand-stop-o:before,
.fa-hand-paper-o:before {
  content: "\f256";
}
.fa-hand-scissors-o:before {
  content: "\f257";
}
.fa-hand-lizard-o:before {
  content: "\f258";
}
.fa-hand-spock-o:before {
  content: "\f259";
}
.fa-hand-pointer-o:before {
  content: "\f25a";
}
.fa-hand-peace-o:before {
  content: "\f25b";
}
.fa-trademark:before {
  content: "\f25c";
}
.fa-registered:before {
  content: "\f25d";
}
.fa-creative-commons:before {
  content: "\f25e";
}
.fa-gg:before {
  content: "\f260";
}
.fa-gg-circle:before {
  content: "\f261";
}
.fa-tripadvisor:before {
  content: "\f262";
}
.fa-odnoklassniki:before {
  content: "\f263";
}
.fa-odnoklassniki-square:before {
  content: "\f264";
}
.fa-get-pocket:before {
  content: "\f265";
}
.fa-wikipedia-w:before {
  content: "\f266";
}
.fa-safari:before {
  content: "\f267";
}
.fa-chrome:before {
  content: "\f268";
}
.fa-firefox:before {
  content: "\f269";
}
.fa-opera:before {
  content: "\f26a";
}
.fa-internet-explorer:before {
  content: "\f26b";
}
.fa-tv:before,
.fa-television:before {
  content: "\f26c";
}
.fa-contao:before {
  content: "\f26d";
}
.fa-500px:before {
  content: "\f26e";
}
.fa-amazon:before {
  content: "\f270";
}
.fa-calendar-plus-o:before {
  content: "\f271";
}
.fa-calendar-minus-o:before {
  content: "\f272";
}
.fa-calendar-times-o:before {
  content: "\f273";
}
.fa-calendar-check-o:before {
  content: "\f274";
}
.fa-industry:before {
  content: "\f275";
}
.fa-map-pin:before {
  content: "\f276";
}
.fa-map-signs:before {
  content: "\f277";
}
.fa-map-o:before {
  content: "\f278";
}
.fa-map:before {
  content: "\f279";
}
.fa-commenting:before {
  content: "\f27a";
}
.fa-commenting-o:before {
  content: "\f27b";
}
.fa-houzz:before {
  content: "\f27c";
}
.fa-vimeo:before {
  content: "\f27d";
}
.fa-black-tie:before {
  content: "\f27e";
}
.fa-fonticons:before {
  content: "\f280";
}
.fa-reddit-alien:before {
  content: "\f281";
}
.fa-edge:before {
  content: "\f282";
}
.fa-credit-card-alt:before {
  content: "\f283";
}
.fa-codiepie:before {
  content: "\f284";
}
.fa-modx:before {
  content: "\f285";
}
.fa-fort-awesome:before {
  content: "\f286";
}
.fa-usb:before {
  content: "\f287";
}
.fa-product-hunt:before {
  content: "\f288";
}
.fa-mixcloud:before {
  content: "\f289";
}
.fa-scribd:before {
  content: "\f28a";
}
.fa-pause-circle:before {
  content: "\f28b";
}
.fa-pause-circle-o:before {
  content: "\f28c";
}
.fa-stop-circle:before {
  content: "\f28d";
}
.fa-stop-circle-o:before {
  content: "\f28e";
}
.fa-shopping-bag:before {
  content: "\f290";
}
.fa-shopping-basket:before {
  content: "\f291";
}
.fa-hashtag:before {
  content: "\f292";
}
.fa-bluetooth:before {
  content: "\f293";
}
.fa-bluetooth-b:before {
  content: "\f294";
}
.fa-percent:before {
  content: "\f295";
}
.fa-gitlab:before {
  content: "\f296";
}
.fa-wpbeginner:before {
  content: "\f297";
}
.fa-wpforms:before {
  content: "\f298";
}
.fa-envira:before {
  content: "\f299";
}
.fa-universal-access:before {
  content: "\f29a";
}
.fa-wheelchair-alt:before {
  content: "\f29b";
}
.fa-question-circle-o:before {
  content: "\f29c";
}
.fa-blind:before {
  content: "\f29d";
}
.fa-audio-description:before {
  content: "\f29e";
}
.fa-volume-control-phone:before {
  content: "\f2a0";
}
.fa-braille:before {
  content: "\f2a1";
}
.fa-assistive-listening-systems:before {
  content: "\f2a2";
}
.fa-asl-interpreting:before,
.fa-american-sign-language-interpreting:before {
  content: "\f2a3";
}
.fa-deafness:before,
.fa-hard-of-hearing:before,
.fa-deaf:before {
  content: "\f2a4";
}
.fa-glide:before {
  content: "\f2a5";
}
.fa-glide-g:before {
  content: "\f2a6";
}
.fa-signing:before,
.fa-sign-language:before {
  content: "\f2a7";
}
.fa-low-vision:before {
  content: "\f2a8";
}
.fa-viadeo:before {
  content: "\f2a9";
}
.fa-viadeo-square:before {
  content: "\f2aa";
}
.fa-snapchat:before {
  content: "\f2ab";
}
.fa-snapchat-ghost:before {
  content: "\f2ac";
}
.fa-snapchat-square:before {
  content: "\f2ad";
}
.fa-pied-piper:before {
  content: "\f2ae";
}
.fa-first-order:before {
  content: "\f2b0";
}
.fa-yoast:before {
  content: "\f2b1";
}
.fa-themeisle:before {
  content: "\f2b2";
}
.fa-google-plus-circle:before,
.fa-google-plus-official:before {
  content: "\f2b3";
}
.fa-fa:before,
.fa-font-awesome:before {
  content: "\f2b4";
}
.fa-handshake-o:before {
  content: "\f2b5";
}
.fa-envelope-open:before {
  content: "\f2b6";
}
.fa-envelope-open-o:before {
  content: "\f2b7";
}
.fa-linode:before {
  content: "\f2b8";
}
.fa-address-book:before {
  content: "\f2b9";
}
.fa-address-book-o:before {
  content: "\f2ba";
}
.fa-vcard:before,
.fa-address-card:before {
  content: "\f2bb";
}
.fa-vcard-o:before,
.fa-address-card-o:before {
  content: "\f2bc";
}
.fa-user-circle:before {
  content: "\f2bd";
}
.fa-user-circle-o:before {
  content: "\f2be";
}
.fa-user-o:before {
  content: "\f2c0";
}
.fa-id-badge:before {
  content: "\f2c1";
}
.fa-drivers-license:before,
.fa-id-card:before {
  content: "\f2c2";
}
.fa-drivers-license-o:before,
.fa-id-card-o:before {
  content: "\f2c3";
}
.fa-quora:before {
  content: "\f2c4";
}
.fa-free-code-camp:before {
  content: "\f2c5";
}
.fa-telegram:before {
  content: "\f2c6";
}
.fa-thermometer-4:before,
.fa-thermometer:before,
.fa-thermometer-full:before {
  content: "\f2c7";
}
.fa-thermometer-3:before,
.fa-thermometer-three-quarters:before {
  content: "\f2c8";
}
.fa-thermometer-2:before,
.fa-thermometer-half:before {
  content: "\f2c9";
}
.fa-thermometer-1:before,
.fa-thermometer-quarter:before {
  content: "\f2ca";
}
.fa-thermometer-0:before,
.fa-thermometer-empty:before {
  content: "\f2cb";
}
.fa-shower:before {
  content: "\f2cc";
}
.fa-bathtub:before,
.fa-s15:before,
.fa-bath:before {
  content: "\f2cd";
}
.fa-podcast:before {
  content: "\f2ce";
}
.fa-window-maximize:before {
  content: "\f2d0";
}
.fa-window-minimize:before {
  content: "\f2d1";
}
.fa-window-restore:before {
  content: "\f2d2";
}
.fa-times-rectangle:before,
.fa-window-close:before {
  content: "\f2d3";
}
.fa-times-rectangle-o:before,
.fa-window-close-o:before {
  content: "\f2d4";
}
.fa-bandcamp:before {
  content: "\f2d5";
}
.fa-grav:before {
  content: "\f2d6";
}
.fa-etsy:before {
  content: "\f2d7";
}
.fa-imdb:before {
  content: "\f2d8";
}
.fa-ravelry:before {
  content: "\f2d9";
}
.fa-eercast:before {
  content: "\f2da";
}
.fa-microchip:before {
  content: "\f2db";
}
.fa-snowflake-o:before {
  content: "\f2dc";
}
.fa-superpowers:before {
  content: "\f2dd";
}
.fa-wpexplorer:before {
  content: "\f2de";
}
.fa-meetup:before {
  content: "\f2e0";
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  padding: 0;
  margin: -1px;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
code {
  color: #000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

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

Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
.hbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.vbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
.vbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
  /* Old browsers */
  -webkit-box-direction: reverse;
  -moz-box-direction: reverse;
  box-direction: reverse;
  /* Modern browsers */
  flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
  /* Old browsers */
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
  /* Old browsers */
  -webkit-box-flex: 2;
  -moz-box-flex: 2;
  box-flex: 2;
  /* Modern browsers */
  flex: 2;
}
.box-group1 {
  /*  Deprecated */
  -webkit-box-flex-group: 1;
  -moz-box-flex-group: 1;
  box-flex-group: 1;
}
.box-group2 {
  /* Deprecated */
  -webkit-box-flex-group: 2;
  -moz-box-flex-group: 2;
  box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
  /* Old browsers */
  -webkit-box-pack: start;
  -moz-box-pack: start;
  box-pack: start;
  /* Modern browsers */
  justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
  /* Old browsers */
  -webkit-box-pack: center;
  -moz-box-pack: center;
  box-pack: center;
  /* Modern browsers */
  justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
  /* Old browsers */
  -webkit-box-pack: baseline;
  -moz-box-pack: baseline;
  box-pack: baseline;
  /* Modern browsers */
  justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
  /* Old browsers */
  -webkit-box-pack: stretch;
  -moz-box-pack: stretch;
  box-pack: stretch;
  /* Modern browsers */
  justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
  /* Old browsers */
  -webkit-box-align: start;
  -moz-box-align: start;
  box-align: start;
  /* Modern browsers */
  align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
  /* Old browsers */
  -webkit-box-align: end;
  -moz-box-align: end;
  box-align: end;
  /* Modern browsers */
  align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
  /* Old browsers */
  -webkit-box-align: center;
  -moz-box-align: center;
  box-align: center;
  /* Modern browsers */
  align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
  /* Old browsers */
  -webkit-box-align: baseline;
  -moz-box-align: baseline;
  box-align: baseline;
  /* Modern browsers */
  align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
  /* Old browsers */
  -webkit-box-align: stretch;
  -moz-box-align: stretch;
  box-align: stretch;
  /* Modern browsers */
  align-items: stretch;
}
div.error {
  margin: 2em;
  text-align: center;
}
div.error > h1 {
  font-size: 500%;
  line-height: normal;
}
div.error > p {
  font-size: 200%;
  line-height: normal;
}
div.traceback-wrapper {
  text-align: left;
  max-width: 800px;
  margin: auto;
}
div.traceback-wrapper pre.traceback {
  max-height: 600px;
  overflow: auto;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
body {
  background-color: #fff;
  /* This makes sure that the body covers the entire window and needs to
       be in a different element than the display: box in wrapper below */
  position: absolute;
  left: 0px;
  right: 0px;
  top: 0px;
  bottom: 0px;
  overflow: visible;
}
body > #header {
  /* Initially hidden to prevent FLOUC */
  display: none;
  background-color: #fff;
  /* Display over codemirror */
  position: relative;
  z-index: 100;
}
body > #header #header-container {
  display: flex;
  flex-direction: row;
  justify-content: space-between;
  padding: 5px;
  padding-bottom: 5px;
  padding-top: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
body > #header .header-bar {
  width: 100%;
  height: 1px;
  background: #e7e7e7;
  margin-bottom: -1px;
}
@media print {
  body > #header {
    display: none !important;
  }
}
#header-spacer {
  width: 100%;
  visibility: hidden;
}
@media print {
  #header-spacer {
    display: none;
  }
}
#ipython_notebook {
  padding-left: 0px;
  padding-top: 1px;
  padding-bottom: 1px;
}
[dir="rtl"] #ipython_notebook {
  margin-right: 10px;
  margin-left: 0;
}
[dir="rtl"] #ipython_notebook.pull-left {
  float: right !important;
  float: right;
}
.flex-spacer {
  flex: 1;
}
#noscript {
  width: auto;
  padding-top: 16px;
  padding-bottom: 16px;
  text-align: center;
  font-size: 22px;
  color: red;
  font-weight: bold;
}
#ipython_notebook img {
  height: 28px;
}
#site {
  width: 100%;
  display: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  overflow: auto;
}
@media print {
  #site {
    height: auto !important;
  }
}
/* Smaller buttons */
.ui-button .ui-button-text {
  padding: 0.2em 0.8em;
  font-size: 77%;
}
input.ui-button {
  padding: 0.3em 0.9em;
}
span#kernel_logo_widget {
  margin: 0 10px;
}
span#login_widget {
  float: right;
}
[dir="rtl"] span#login_widget {
  float: left;
}
span#login_widget > .button,
#logout {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button:focus,
#logout:focus,
span#login_widget > .button.focus,
#logout.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  background-image: none;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus {
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button .badge,
#logout .badge {
  color: #fff;
  background-color: #333;
}
.nav-header {
  text-transform: none;
}
#header > span {
  margin-top: 10px;
}
.modal_stretch .modal-dialog {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
  max-height: calc(100vh - 200px);
  overflow: auto;
  flex: 1;
}
.modal-header {
  cursor: move;
}
@media (min-width: 768px) {
  .modal .modal-dialog {
    width: 700px;
  }
}
@media (min-width: 768px) {
  select.form-control {
    margin-left: 12px;
    margin-right: 12px;
  }
}
/*!
*
* IPython auth
*
*/
.center-nav {
  display: inline-block;
  margin-bottom: -4px;
}
[dir="rtl"] .center-nav form.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] .center-nav .navbar-text {
  float: right;
}
[dir="rtl"] .navbar-inner {
  text-align: right;
}
[dir="rtl"] div.text-left {
  text-align: right;
}
/*!
*
* IPython tree view
*
*/
/* We need an invisible input field on top of the sentense*/
/* "Drag file onto the list ..." */
.alternate_upload {
  background-color: none;
  display: inline;
}
.alternate_upload.form {
  padding: 0;
  margin: 0;
}
.alternate_upload input.fileinput {
  position: absolute;
  display: block;
  width: 100%;
  height: 100%;
  overflow: hidden;
  cursor: pointer;
  opacity: 0;
  z-index: 2;
}
.alternate_upload .btn-xs > input.fileinput {
  margin: -1px -5px;
}
.alternate_upload .btn-upload {
  position: relative;
  height: 22px;
}
::-webkit-file-upload-button {
  cursor: pointer;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
ul#tabs {
  margin-bottom: 4px;
}
ul#tabs a {
  padding-top: 6px;
  padding-bottom: 4px;
}
[dir="rtl"] ul#tabs.nav-tabs > li {
  float: right;
}
[dir="rtl"] ul#tabs.nav.nav-tabs {
  padding-right: 0;
}
ul.breadcrumb a:focus,
ul.breadcrumb a:hover {
  text-decoration: none;
}
ul.breadcrumb i.icon-home {
  font-size: 16px;
  margin-right: 4px;
}
ul.breadcrumb span {
  color: #5e5e5e;
}
.list_toolbar {
  padding: 4px 0 4px 0;
  vertical-align: middle;
}
.list_toolbar .tree-buttons {
  padding-top: 1px;
}
[dir="rtl"] .list_toolbar .tree-buttons .pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .list_toolbar .col-sm-4,
[dir="rtl"] .list_toolbar .col-sm-8 {
  float: right;
}
.dynamic-buttons {
  padding-top: 3px;
  display: inline-block;
}
.list_toolbar [class*="span"] {
  min-height: 24px;
}
.list_header {
  font-weight: bold;
  background-color: #EEE;
}
.list_placeholder {
  font-weight: bold;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
}
.list_container {
  margin-top: 4px;
  margin-bottom: 20px;
  border: 1px solid #ddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #ddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #ddd;
}
.list_item a {
  text-decoration: none;
}
.list_item:hover {
  background-color: #fafafa;
}
.list_header > div,
.list_item > div {
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
.list_header > div input,
.list_item > div input {
  margin-right: 7px;
  margin-left: 14px;
  vertical-align: text-bottom;
  line-height: 22px;
  position: relative;
  top: -1px;
}
.list_header > div .item_link,
.list_item > div .item_link {
  margin-left: -1px;
  vertical-align: baseline;
  line-height: 22px;
}
[dir="rtl"] .list_item > div input {
  margin-right: 0;
}
.new-file input[type=checkbox] {
  visibility: hidden;
}
.item_name {
  line-height: 22px;
  height: 24px;
}
.item_icon {
  font-size: 14px;
  color: #5e5e5e;
  margin-right: 7px;
  margin-left: 7px;
  line-height: 22px;
  vertical-align: baseline;
}
.item_modified {
  margin-right: 7px;
  margin-left: 7px;
}
[dir="rtl"] .item_modified.pull-right {
  float: left !important;
  float: left;
}
.item_buttons {
  line-height: 1em;
  margin-left: -5px;
}
.item_buttons .btn,
.item_buttons .btn-group,
.item_buttons .input-group {
  float: left;
}
.item_buttons > .btn,
.item_buttons > .btn-group,
.item_buttons > .input-group {
  margin-left: 5px;
}
.item_buttons .btn {
  min-width: 13ex;
}
.item_buttons .running-indicator {
  padding-top: 4px;
  color: #5cb85c;
}
.item_buttons .kernel-name {
  padding-top: 4px;
  color: #5bc0de;
  margin-right: 7px;
  float: left;
}
[dir="rtl"] .item_buttons.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .item_buttons .kernel-name {
  margin-left: 7px;
  float: right;
}
.toolbar_info {
  height: 24px;
  line-height: 24px;
}
.list_item input:not([type=checkbox]) {
  padding-top: 3px;
  padding-bottom: 3px;
  height: 22px;
  line-height: 14px;
  margin: 0px;
}
.highlight_text {
  color: blue;
}
#project_name {
  display: inline-block;
  padding-left: 7px;
  margin-left: -2px;
}
#project_name > .breadcrumb {
  padding: 0px;
  margin-bottom: 0px;
  background-color: transparent;
  font-weight: bold;
}
.sort_button {
  display: inline-block;
  padding-left: 7px;
}
[dir="rtl"] .sort_button.pull-right {
  float: left !important;
  float: left;
}
#tree-selector {
  padding-right: 0px;
}
#button-select-all {
  min-width: 50px;
}
[dir="rtl"] #button-select-all.btn {
  float: right ;
}
#select-all {
  margin-left: 7px;
  margin-right: 2px;
  margin-top: 2px;
  height: 16px;
}
[dir="rtl"] #select-all.pull-left {
  float: right !important;
  float: right;
}
.menu_icon {
  margin-right: 2px;
}
.tab-content .row {
  margin-left: 0px;
  margin-right: 0px;
}
.folder_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f114";
}
.folder_icon:before.fa-pull-left {
  margin-right: .3em;
}
.folder_icon:before.fa-pull-right {
  margin-left: .3em;
}
.folder_icon:before.pull-left {
  margin-right: .3em;
}
.folder_icon:before.pull-right {
  margin-left: .3em;
}
.notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
}
.notebook_icon:before.fa-pull-left {
  margin-right: .3em;
}
.notebook_icon:before.fa-pull-right {
  margin-left: .3em;
}
.notebook_icon:before.pull-left {
  margin-right: .3em;
}
.notebook_icon:before.pull-right {
  margin-left: .3em;
}
.running_notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
  color: #5cb85c;
}
.running_notebook_icon:before.fa-pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.fa-pull-right {
  margin-left: .3em;
}
.running_notebook_icon:before.pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.pull-right {
  margin-left: .3em;
}
.file_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f016";
  position: relative;
  top: -2px;
}
.file_icon:before.fa-pull-left {
  margin-right: .3em;
}
.file_icon:before.fa-pull-right {
  margin-left: .3em;
}
.file_icon:before.pull-left {
  margin-right: .3em;
}
.file_icon:before.pull-right {
  margin-left: .3em;
}
#notebook_toolbar .pull-right {
  padding-top: 0px;
  margin-right: -1px;
}
ul#new-menu {
  left: auto;
  right: 0;
}
#new-menu .dropdown-header {
  font-size: 10px;
  border-bottom: 1px solid #e5e5e5;
  padding: 0 0 3px;
  margin: -3px 20px 0;
}
.kernel-menu-icon {
  padding-right: 12px;
  width: 24px;
  content: "\f096";
}
.kernel-menu-icon:before {
  content: "\f096";
}
.kernel-menu-icon-current:before {
  content: "\f00c";
}
#tab_content {
  padding-top: 20px;
}
#running .panel-group .panel {
  margin-top: 3px;
  margin-bottom: 1em;
}
#running .panel-group .panel .panel-heading {
  background-color: #EEE;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
  text-decoration: none;
}
#running .panel-group .panel .panel-body {
  padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
  margin-top: 0px;
  margin-bottom: 0px;
  border: 0px;
  border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
  border-bottom: 1px solid #ddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
  border-bottom: 0px;
}
.delete-button {
  display: none;
}
.duplicate-button {
  display: none;
}
.rename-button {
  display: none;
}
.move-button {
  display: none;
}
.download-button {
  display: none;
}
.shutdown-button {
  display: none;
}
.dynamic-instructions {
  display: inline-block;
  padding-top: 4px;
}
/*!
*
* IPython text editor webapp
*
*/
.selected-keymap i.fa {
  padding: 0px 5px;
}
.selected-keymap i.fa:before {
  content: "\f00c";
}
#mode-menu {
  overflow: auto;
  max-height: 20em;
}
.edit_app #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.edit_app #menubar .navbar {
  /* Use a negative 1 bottom margin, so the border overlaps the border of the
    header */
  margin-bottom: -1px;
}
.dirty-indicator {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator.fa-pull-right {
  margin-left: .3em;
}
.dirty-indicator.pull-left {
  margin-right: .3em;
}
.dirty-indicator.pull-right {
  margin-left: .3em;
}
.dirty-indicator-dirty {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-dirty.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.fa-pull-right {
  margin-left: .3em;
}
.dirty-indicator-dirty.pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-clean.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.fa-pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f00c";
}
.dirty-indicator-clean:before.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.fa-pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean:before.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.pull-right {
  margin-left: .3em;
}
#filename {
  font-size: 16pt;
  display: table;
  padding: 0px 5px;
}
#current-mode {
  padding-left: 5px;
  padding-right: 5px;
}
#texteditor-backdrop {
  padding-top: 20px;
  padding-bottom: 20px;
}
@media not print {
  #texteditor-backdrop {
    background-color: #EEE;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #fff;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
.CodeMirror-dialog {
  background-color: #fff;
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI escape sequences */
/* The color values are a mix of
   http://www.xcolors.net/dl/baskerville-ivorylight and
   http://www.xcolors.net/dl/euphrasia */
.ansi-black-fg {
  color: #3E424D;
}
.ansi-black-bg {
  background-color: #3E424D;
}
.ansi-black-intense-fg {
  color: #282C36;
}
.ansi-black-intense-bg {
  background-color: #282C36;
}
.ansi-red-fg {
  color: #E75C58;
}
.ansi-red-bg {
  background-color: #E75C58;
}
.ansi-red-intense-fg {
  color: #B22B31;
}
.ansi-red-intense-bg {
  background-color: #B22B31;
}
.ansi-green-fg {
  color: #00A250;
}
.ansi-green-bg {
  background-color: #00A250;
}
.ansi-green-intense-fg {
  color: #007427;
}
.ansi-green-intense-bg {
  background-color: #007427;
}
.ansi-yellow-fg {
  color: #DDB62B;
}
.ansi-yellow-bg {
  background-color: #DDB62B;
}
.ansi-yellow-intense-fg {
  color: #B27D12;
}
.ansi-yellow-intense-bg {
  background-color: #B27D12;
}
.ansi-blue-fg {
  color: #208FFB;
}
.ansi-blue-bg {
  background-color: #208FFB;
}
.ansi-blue-intense-fg {
  color: #0065CA;
}
.ansi-blue-intense-bg {
  background-color: #0065CA;
}
.ansi-magenta-fg {
  color: #D160C4;
}
.ansi-magenta-bg {
  background-color: #D160C4;
}
.ansi-magenta-intense-fg {
  color: #A03196;
}
.ansi-magenta-intense-bg {
  background-color: #A03196;
}
.ansi-cyan-fg {
  color: #60C6C8;
}
.ansi-cyan-bg {
  background-color: #60C6C8;
}
.ansi-cyan-intense-fg {
  color: #258F8F;
}
.ansi-cyan-intense-bg {
  background-color: #258F8F;
}
.ansi-white-fg {
  color: #C5C1B4;
}
.ansi-white-bg {
  background-color: #C5C1B4;
}
.ansi-white-intense-fg {
  color: #A1A6B2;
}
.ansi-white-intense-bg {
  background-color: #A1A6B2;
}
.ansi-default-inverse-fg {
  color: #FFFFFF;
}
.ansi-default-inverse-bg {
  background-color: #000000;
}
.ansi-bold {
  font-weight: bold;
}
.ansi-underline {
  text-decoration: underline;
}
/* The following styles are deprecated an will be removed in a future version */
.ansibold {
  font-weight: bold;
}
.ansi-inverse {
  outline: 0.5px dotted;
}
/* use dark versions for foreground, to improve visibility */
.ansiblack {
  color: black;
}
.ansired {
  color: darkred;
}
.ansigreen {
  color: darkgreen;
}
.ansiyellow {
  color: #c4a000;
}
.ansiblue {
  color: darkblue;
}
.ansipurple {
  color: darkviolet;
}
.ansicyan {
  color: steelblue;
}
.ansigray {
  color: gray;
}
/* and light for background, for the same reason */
.ansibgblack {
  background-color: black;
}
.ansibgred {
  background-color: red;
}
.ansibggreen {
  background-color: green;
}
.ansibgyellow {
  background-color: yellow;
}
.ansibgblue {
  background-color: blue;
}
.ansibgpurple {
  background-color: magenta;
}
.ansibgcyan {
  background-color: cyan;
}
.ansibggray {
  background-color: gray;
}
div.cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  border-radius: 2px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  border-width: 1px;
  border-style: solid;
  border-color: transparent;
  width: 100%;
  padding: 5px;
  /* This acts as a spacer between cells, that is outside the border */
  margin: 0px;
  outline: none;
  position: relative;
  overflow: visible;
}
div.cell:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: transparent;
}
div.cell.jupyter-soft-selected {
  border-left-color: #E3F2FD;
  border-left-width: 1px;
  padding-left: 5px;
  border-right-color: #E3F2FD;
  border-right-width: 1px;
  background: #E3F2FD;
}
@media print {
  div.cell.jupyter-soft-selected {
    border-color: transparent;
  }
}
div.cell.selected,
div.cell.selected.jupyter-soft-selected {
  border-color: #ababab;
}
div.cell.selected:before,
div.cell.selected.jupyter-soft-selected:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: #42A5F5;
}
@media print {
  div.cell.selected,
  div.cell.selected.jupyter-soft-selected {
    border-color: transparent;
  }
}
.edit_mode div.cell.selected {
  border-color: #66BB6A;
}
.edit_mode div.cell.selected:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: #66BB6A;
}
@media print {
  .edit_mode div.cell.selected {
    border-color: transparent;
  }
}
.prompt {
  /* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
  min-width: 14ex;
  /* This padding is tuned to match the padding on the CodeMirror editor. */
  padding: 0.4em;
  margin: 0px;
  font-family: monospace;
  text-align: right;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
  /* Don't highlight prompt number selection */
  -webkit-touch-callout: none;
  -webkit-user-select: none;
  -khtml-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
  /* Use default cursor */
  cursor: default;
}
@media (max-width: 540px) {
  .prompt {
    text-align: left;
  }
}
div.inner_cell {
  min-width: 0;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
  border: 1px solid #cfcfcf;
  border-radius: 2px;
  background: #f7f7f7;
  line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
   is no content in the output_subarea and the prompt. The main purpose of this is
   to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
  padding-top: 0;
  padding-bottom: 0;
}
div.unrecognized_cell {
  padding: 5px 5px 5px 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.unrecognized_cell .inner_cell {
  border-radius: 2px;
  padding: 5px;
  font-weight: bold;
  color: red;
  border: 1px solid #cfcfcf;
  background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
  color: inherit;
  text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
  color: inherit;
  text-decoration: none;
}
@media (max-width: 540px) {
  div.unrecognized_cell > div.prompt {
    display: none;
  }
}
div.code_cell {
  /* avoid page breaking on code cells when printing */
}
@media print {
  div.code_cell {
    page-break-inside: avoid;
  }
}
/* any special styling for code cells that are currently running goes here */
div.input {
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.input {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
  color: #303F9F;
  border-top: 1px solid transparent;
}
div.input_area > div.highlight {
  margin: 0.4em;
  border: none;
  padding: 0px;
  background-color: transparent;
}
div.input_area > div.highlight > pre {
  margin: 0px;
  border: none;
  padding: 0px;
  background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
 * monospace font with inconsistent normal/bold/italic height.  See
 * notebookmain.js.  Such fonts will have keywords vertically offset with
 * respect to the rest of the text.  The user should select a better font.
 * See: https://github.com/ipython/ipython/issues/1503
 *
 * .CodeMirror span {
 *      vertical-align: bottom;
 * }
 */
.CodeMirror {
  line-height: 1.21429em;
  /* Changed from 1em to our global default */
  font-size: 14px;
  height: auto;
  /* Changed to auto to autogrow */
  background: none;
  /* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
  /*  The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
  /*  We have found that if it is visible, vertical scrollbars appear with font size changes.*/
  overflow-y: hidden;
  overflow-x: auto;
}
.CodeMirror-lines {
  /* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
  /* we have set a different line-height and want this to scale with that. */
  /* Note that this should set vertical padding only, since CodeMirror assumes
       that horizontal padding will be set on CodeMirror pre */
  padding: 0.4em 0;
}
.CodeMirror-linenumber {
  padding: 0 8px 0 4px;
}
.CodeMirror-gutters {
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.CodeMirror pre {
  /* In CM3 this went to 4px from 0 in CM2. This sets horizontal padding only,
    use .CodeMirror-lines for vertical */
  padding: 0 0.4em;
  border: 0;
  border-radius: 0;
}
.CodeMirror-cursor {
  border-left: 1.4px solid black;
}
@media screen and (min-width: 2138px) and (max-width: 4319px) {
  .CodeMirror-cursor {
    border-left: 2px solid black;
  }
}
@media screen and (min-width: 4320px) {
  .CodeMirror-cursor {
    border-left: 4px solid black;
  }
}
/*

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

*/
.highlight-base {
  color: #000;
}
.highlight-variable {
  color: #000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #408080;
  font-style: italic;
}
.highlight-number {
  color: #080;
}
.highlight-atom {
  color: #88F;
}
.highlight-keyword {
  color: #008000;
  font-weight: bold;
}
.highlight-builtin {
  color: #008000;
}
.highlight-error {
  color: #f00;
}
.highlight-operator {
  color: #AA22FF;
  font-weight: bold;
}
.highlight-meta {
  color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
  color: #00f;
}
.highlight-string-2 {
  color: #f50;
}
.highlight-qualifier {
  color: #555;
}
.highlight-bracket {
  color: #997;
}
.highlight-tag {
  color: #170;
}
.highlight-attribute {
  color: #00c;
}
.highlight-header {
  color: blue;
}
.highlight-quote {
  color: #090;
}
.highlight-link {
  color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
  color: #008000;
  font-weight: bold;
}
.cm-s-ipython span.cm-atom {
  color: #88F;
}
.cm-s-ipython span.cm-number {
  color: #080;
}
.cm-s-ipython span.cm-def {
  color: #00f;
}
.cm-s-ipython span.cm-variable {
  color: #000;
}
.cm-s-ipython span.cm-operator {
  color: #AA22FF;
  font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
  color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
  color: #333333;
}
.cm-s-ipython span.cm-comment {
  color: #408080;
  font-style: italic;
}
.cm-s-ipython span.cm-string {
  color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
  color: #f50;
}
.cm-s-ipython span.cm-meta {
  color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
  color: #555;
}
.cm-s-ipython span.cm-builtin {
  color: #008000;
}
.cm-s-ipython span.cm-bracket {
  color: #997;
}
.cm-s-ipython span.cm-tag {
  color: #170;
}
.cm-s-ipython span.cm-attribute {
  color: #00c;
}
.cm-s-ipython span.cm-header {
  color: blue;
}
.cm-s-ipython span.cm-quote {
  color: #090;
}
.cm-s-ipython span.cm-link {
  color: #00c;
}
.cm-s-ipython span.cm-error {
  color: #f00;
}
.cm-s-ipython span.cm-tab {
  background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
  background-position: right;
  background-repeat: no-repeat;
}
div.output_wrapper {
  /* this position must be relative to enable descendents to be absolute within it */
  position: relative;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
  /* ideally, this would be max-height, but FF barfs all over that */
  height: 24em;
  /* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
  width: 100%;
  overflow: auto;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
  margin: 0px;
  padding: 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
div.out_prompt_overlay {
  height: 100%;
  padding: 0px 0.4em;
  position: absolute;
  border-radius: 2px;
}
div.out_prompt_overlay:hover {
  /* use inner shadow to get border that is computed the same on WebKit/FF */
  -webkit-box-shadow: inset 0 0 1px #000;
  box-shadow: inset 0 0 1px #000;
  background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
  color: #D84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
  padding: 0px;
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.output_area .MathJax_Display {
  text-align: left !important;
}
div.output_area .rendered_html table {
  margin-left: 0;
  margin-right: 0;
}
div.output_area .rendered_html img {
  margin-left: 0;
  margin-right: 0;
}
div.output_area img,
div.output_area svg {
  max-width: 100%;
  height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
  max-width: none;
}
div.output_area .mglyph > img {
  max-width: none;
}
/* This is needed to protect the pre formating from global settings such
   as that of bootstrap */
.output {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.output_area {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
div.output_area pre {
  margin: 0;
  padding: 1px 0 1px 0;
  border: 0;
  vertical-align: baseline;
  color: black;
  background-color: transparent;
  border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
   the prompt div. */
div.output_subarea {
  overflow-x: auto;
  padding: 0.4em;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
  max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
  overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
   output types */
/* all text output has this class: */
div.output_text {
  text-align: left;
  color: #000;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
  background: #fdd;
  /* very light red background for stderr */
}
div.output_latex {
  text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
  padding: 0;
}
.js-error {
  color: darkred;
}
/* raw_input styles */
div.raw_input_container {
  line-height: 1.21429em;
  padding-top: 5px;
}
pre.raw_input_prompt {
  /* nothing needed here. */
}
input.raw_input {
  font-family: monospace;
  font-size: inherit;
  color: inherit;
  width: auto;
  /* make sure input baseline aligns with prompt */
  vertical-align: baseline;
  /* padding + margin = 0.5em between prompt and cursor */
  padding: 0em 0.25em;
  margin: 0em 0.25em;
}
input.raw_input:focus {
  box-shadow: none;
}
p.p-space {
  margin-bottom: 10px;
}
div.output_unrecognized {
  padding: 5px;
  font-weight: bold;
  color: red;
}
div.output_unrecognized a {
  color: inherit;
  text-decoration: none;
}
div.output_unrecognized a:hover {
  color: inherit;
  text-decoration: none;
}
.rendered_html {
  color: #000;
  /* any extras will just be numbers: */
}
.rendered_html em {
  font-style: italic;
}
.rendered_html strong {
  font-weight: bold;
}
.rendered_html u {
  text-decoration: underline;
}
.rendered_html :link {
  text-decoration: underline;
}
.rendered_html :visited {
  text-decoration: underline;
}
.rendered_html h1 {
  font-size: 185.7%;
  margin: 1.08em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h2 {
  font-size: 157.1%;
  margin: 1.27em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h3 {
  font-size: 128.6%;
  margin: 1.55em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h4 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h5 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h6 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h1:first-child {
  margin-top: 0.538em;
}
.rendered_html h2:first-child {
  margin-top: 0.636em;
}
.rendered_html h3:first-child {
  margin-top: 0.777em;
}
.rendered_html h4:first-child {
  margin-top: 1em;
}
.rendered_html h5:first-child {
  margin-top: 1em;
}
.rendered_html h6:first-child {
  margin-top: 1em;
}
.rendered_html ul:not(.list-inline),
.rendered_html ol:not(.list-inline) {
  padding-left: 2em;
}
.rendered_html ul {
  list-style: disc;
}
.rendered_html ul ul {
  list-style: square;
  margin-top: 0;
}
.rendered_html ul ul ul {
  list-style: circle;
}
.rendered_html ol {
  list-style: decimal;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin-top: 0;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
}
.rendered_html * + ul {
  margin-top: 1em;
}
.rendered_html * + ol {
  margin-top: 1em;
}
.rendered_html hr {
  color: black;
  background-color: black;
}
.rendered_html pre {
  margin: 1em 2em;
  padding: 0px;
  background-color: #fff;
}
.rendered_html code {
  background-color: #eff0f1;
}
.rendered_html p code {
  padding: 1px 5px;
}
.rendered_html pre code {
  background-color: #fff;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  color: #000;
  font-size: 100%;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: none;
  border-collapse: collapse;
  border-spacing: 0;
  color: black;
  font-size: 12px;
  table-layout: fixed;
}
.rendered_html thead {
  border-bottom: 1px solid black;
  vertical-align: bottom;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  text-align: right;
  vertical-align: middle;
  padding: 0.5em 0.5em;
  line-height: normal;
  white-space: normal;
  max-width: none;
  border: none;
}
.rendered_html th {
  font-weight: bold;
}
.rendered_html tbody tr:nth-child(odd) {
  background: #f5f5f5;
}
.rendered_html tbody tr:hover {
  background: rgba(66, 165, 245, 0.2);
}
.rendered_html * + table {
  margin-top: 1em;
}
.rendered_html p {
  text-align: left;
}
.rendered_html * + p {
  margin-top: 1em;
}
.rendered_html img {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.rendered_html * + img {
  margin-top: 1em;
}
.rendered_html img,
.rendered_html svg {
  max-width: 100%;
  height: auto;
}
.rendered_html img.unconfined,
.rendered_html svg.unconfined {
  max-width: none;
}
.rendered_html .alert {
  margin-bottom: initial;
}
.rendered_html * + .alert {
  margin-top: 1em;
}
[dir="rtl"] .rendered_html p {
  text-align: right;
}
div.text_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.text_cell > div.prompt {
    display: none;
  }
}
div.text_cell_render {
  /*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
  outline: none;
  resize: none;
  width: inherit;
  border-style: none;
  padding: 0.5em 0.5em 0.5em 0.4em;
  color: #000;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
a.anchor-link:link {
  text-decoration: none;
  padding: 0px 20px;
  visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
  visibility: visible;
}
.text_cell.rendered .input_area {
  display: none;
}
.text_cell.rendered .rendered_html {
  overflow-x: auto;
  overflow-y: hidden;
}
.text_cell.rendered .rendered_html tr,
.text_cell.rendered .rendered_html th,
.text_cell.rendered .rendered_html td {
  max-width: none;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.text_cell .dropzone .input_area {
  border: 2px dashed #bababa;
  margin: -1px;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
  font-weight: bold;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
  font-size: 185.7%;
}
.cm-header-2 {
  font-size: 157.1%;
}
.cm-header-3 {
  font-size: 128.6%;
}
.cm-header-4 {
  font-size: 110%;
}
.cm-header-5 {
  font-size: 100%;
  font-style: italic;
}
.cm-header-6 {
  font-size: 100%;
  font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
  .notebook_app {
    padding-left: 0px;
    padding-right: 0px;
  }
}
#ipython-main-app {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook_panel {
  margin: 0px;
  padding: 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook {
  font-size: 14px;
  line-height: 20px;
  overflow-y: hidden;
  overflow-x: auto;
  width: 100%;
  /* This spaces the page away from the edge of the notebook area */
  padding-top: 20px;
  margin: 0px;
  outline: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  min-height: 100%;
}
@media not print {
  #notebook-container {
    padding: 15px;
    background-color: #fff;
    min-height: 0;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
@media print {
  #notebook-container {
    width: 100%;
  }
}
div.ui-widget-content {
  border: 1px solid #ababab;
  outline: none;
}
pre.dialog {
  background-color: #f7f7f7;
  border: 1px solid #ddd;
  border-radius: 2px;
  padding: 0.4em;
  padding-left: 2em;
}
p.dialog {
  padding: 0.2em;
}
/* Word-wrap output correctly.  This is the CSS3 spelling, though Firefox seems
   to not honor it correctly.  Webkit browsers (Chrome, rekonq, Safari) do.
 */
pre,
code,
kbd,
samp {
  white-space: pre-wrap;
}
#fonttest {
  font-family: monospace;
}
p {
  margin-bottom: 0;
}
.end_space {
  min-height: 100px;
  transition: height .2s ease;
}
.notebook_app > #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
  .notebook_app {
    background-color: #EEE;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
.jupyter-keybindings {
  padding: 1px;
  line-height: 24px;
  border-bottom: 1px solid gray;
}
.jupyter-keybindings input {
  margin: 0;
  padding: 0;
  border: none;
}
.jupyter-keybindings i {
  padding: 6px;
}
.well code {
  background-color: #ffffff;
  border-color: #ababab;
  border-width: 1px;
  border-style: solid;
  padding: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
  border: thin solid #CFCFCF;
  border-bottom: none;
  background: #EEE;
  border-radius: 2px 2px 0px 0px;
  width: 100%;
  height: 29px;
  padding-right: 4px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
  display: -webkit-flex;
}
@media print {
  .celltoolbar {
    display: none;
  }
}
.ctb_hideshow {
  display: none;
  vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
   Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
  display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border-top-right-radius: 0px;
  border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border: 1px solid #cfcfcf;
}
.celltoolbar {
  font-size: 87%;
  padding-top: 3px;
}
.celltoolbar select {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  width: inherit;
  font-size: inherit;
  height: 22px;
  padding: 0px;
  display: inline-block;
}
.celltoolbar select:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999;
}
.celltoolbar select::-ms-expand {
  border: 0;
  background-color: transparent;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
  background-color: #eeeeee;
  opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
  cursor: not-allowed;
}
textarea.celltoolbar select {
  height: auto;
}
select.celltoolbar select {
  height: 30px;
  line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
  height: auto;
}
.celltoolbar label {
  margin-left: 5px;
  margin-right: 5px;
}
.tags_button_container {
  width: 100%;
  display: flex;
}
.tag-container {
  display: flex;
  flex-direction: row;
  flex-grow: 1;
  overflow: hidden;
  position: relative;
}
.tag-container > * {
  margin: 0 4px;
}
.remove-tag-btn {
  margin-left: 4px;
}
.tags-input {
  display: flex;
}
.cell-tag:last-child:after {
  content: "";
  position: absolute;
  right: 0;
  width: 40px;
  height: 100%;
  /* Fade to background color of cell toolbar */
  background: linear-gradient(to right, rgba(0, 0, 0, 0), #EEE);
}
.tags-input > * {
  margin-left: 4px;
}
.cell-tag,
.tags-input input,
.tags-input button {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  box-shadow: none;
  width: inherit;
  font-size: inherit;
  height: 22px;
  line-height: 22px;
  padding: 0px 4px;
  display: inline-block;
}
.cell-tag:focus,
.tags-input input:focus,
.tags-input button:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.cell-tag::-moz-placeholder,
.tags-input input::-moz-placeholder,
.tags-input button::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.cell-tag:-ms-input-placeholder,
.tags-input input:-ms-input-placeholder,
.tags-input button:-ms-input-placeholder {
  color: #999;
}
.cell-tag::-webkit-input-placeholder,
.tags-input input::-webkit-input-placeholder,
.tags-input button::-webkit-input-placeholder {
  color: #999;
}
.cell-tag::-ms-expand,
.tags-input input::-ms-expand,
.tags-input button::-ms-expand {
  border: 0;
  background-color: transparent;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
.cell-tag[readonly],
.tags-input input[readonly],
.tags-input button[readonly],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  background-color: #eeeeee;
  opacity: 1;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  cursor: not-allowed;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button {
  height: auto;
}
select.cell-tag,
select.tags-input input,
select.tags-input button {
  height: 30px;
  line-height: 30px;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button,
select[multiple].cell-tag,
select[multiple].tags-input input,
select[multiple].tags-input button {
  height: auto;
}
.cell-tag,
.tags-input button {
  padding: 0px 4px;
}
.cell-tag {
  background-color: #fff;
  white-space: nowrap;
}
.tags-input input[type=text]:focus {
  outline: none;
  box-shadow: none;
  border-color: #ccc;
}
.completions {
  position: absolute;
  z-index: 110;
  overflow: hidden;
  border: 1px solid #ababab;
  border-radius: 2px;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  line-height: 1;
}
.completions select {
  background: white;
  outline: none;
  border: none;
  padding: 0px;
  margin: 0px;
  overflow: auto;
  font-family: monospace;
  font-size: 110%;
  color: #000;
  width: auto;
}
.completions select option.context {
  color: #286090;
}
#kernel_logo_widget .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
[dir="rtl"] #kernel_logo_widget {
  float: left !important;
  float: left;
}
.modal .modal-body .move-path {
  display: flex;
  flex-direction: row;
  justify-content: space;
  align-items: center;
}
.modal .modal-body .move-path .server-root {
  padding-right: 20px;
}
.modal .modal-body .move-path .path-input {
  flex: 1;
}
#menubar {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  margin-top: 1px;
}
#menubar .navbar {
  border-top: 1px;
  border-radius: 0px 0px 2px 2px;
  margin-bottom: 0px;
}
#menubar .navbar-toggle {
  float: left;
  padding-top: 7px;
  padding-bottom: 7px;
  border: none;
}
#menubar .navbar-collapse {
  clear: left;
}
[dir="rtl"] #menubar .navbar-toggle {
  float: right;
}
[dir="rtl"] #menubar .navbar-collapse {
  clear: right;
}
[dir="rtl"] #menubar .navbar-nav {
  float: right;
}
[dir="rtl"] #menubar .nav {
  padding-right: 0px;
}
[dir="rtl"] #menubar .navbar-nav > li {
  float: right;
}
[dir="rtl"] #menubar .navbar-right {
  float: left !important;
}
[dir="rtl"] ul.dropdown-menu {
  text-align: right;
  left: auto;
}
[dir="rtl"] ul#new-menu.dropdown-menu {
  right: auto;
  left: 0;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
[dir="rtl"] i.menu-icon.pull-right {
  float: left !important;
  float: left;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
[dir="rtl"] ul#help_menu li a {
  padding-left: 2.2em;
}
[dir="rtl"] ul#help_menu li a i {
  margin-right: 0;
  margin-left: -1.2em;
}
[dir="rtl"] ul#help_menu li a i.pull-right {
  float: left !important;
  float: left;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -1px;
}
[dir="rtl"] .dropdown-submenu > .dropdown-menu {
  right: 100%;
  margin-right: -1px;
}
.dropdown-submenu:hover > .dropdown-menu {
  display: block;
}
.dropdown-submenu > a:after {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  display: block;
  content: "\f0da";
  float: right;
  color: #333333;
  margin-top: 2px;
  margin-right: -10px;
}
.dropdown-submenu > a:after.fa-pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.fa-pull-right {
  margin-left: .3em;
}
.dropdown-submenu > a:after.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
[dir="rtl"] .dropdown-submenu > a:after {
  float: left;
  content: "\f0d9";
  margin-right: 0;
  margin-left: -10px;
}
.dropdown-submenu:hover > a:after {
  color: #262626;
}
.dropdown-submenu.pull-left {
  float: none;
}
.dropdown-submenu.pull-left > .dropdown-menu {
  left: -100%;
  margin-left: 10px;
}
#notification_area {
  float: right !important;
  float: right;
  z-index: 10;
}
[dir="rtl"] #notification_area {
  float: left !important;
  float: left;
}
.indicator_area {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
[dir="rtl"] .indicator_area {
  float: left !important;
  float: left;
}
#kernel_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
  padding-left: 5px;
  padding-right: 5px;
}
[dir="rtl"] #kernel_indicator {
  float: left !important;
  float: left;
  border-left: 0;
  border-right: 1px solid;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
[dir="rtl"] #modal_indicator {
  float: left !important;
  float: left;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  margin-top: 2px;
  margin-bottom: 0px;
  margin-left: 0px;
  margin-right: 0px;
  display: none;
}
.modal_indicator:before {
  width: 1.28571429em;
  text-align: center;
}
.edit_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f040";
}
.edit_mode .modal_indicator:before.fa-pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.edit_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: ' ';
}
.command_mode .modal_indicator:before.fa-pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f10c";
}
.kernel_idle_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f111";
}
.kernel_busy_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f1e2";
}
.kernel_dead_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f127";
}
.kernel_disconnected_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
  margin-left: .3em;
}
.notification_widget {
  color: #777;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  background-image: none;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget .badge {
  color: #fff;
  background-color: #333;
}
.notification_widget.warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  background-image: none;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.notification_widget.success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  background-image: none;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.notification_widget.info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  background-image: none;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.notification_widget.danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  background-image: none;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger .badge {
  color: #d9534f;
  background-color: #fff;
}
div#pager {
  background-color: #fff;
  font-size: 14px;
  line-height: 20px;
  overflow: hidden;
  display: none;
  position: fixed;
  bottom: 0px;
  width: 100%;
  max-height: 50%;
  padding-top: 8px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  /* Display over codemirror */
  z-index: 100;
  /* Hack which prevents jquery ui resizable from changing top. */
  top: auto !important;
}
div#pager pre {
  line-height: 1.21429em;
  color: #000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-contents {
  position: relative;
  overflow: auto;
  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
  position: relative;
  padding: 15px 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
  top: 0px;
  height: 8px;
  background: #f7f7f7;
  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
  /* This injects handle bars (a short, wide = symbol) for 
        the resize handle. */
}
div#pager .ui-resizable-handle::after {
  content: '';
  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
  margin-left: -15px;
  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  line-height: 1.8em;
}
.shortcut_key {
  display: inline-block;
  width: 21ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
  display: inline-block;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
span.save_widget {
  height: 30px;
  margin-top: 4px;
  display: flex;
  justify-content: flex-start;
  align-items: baseline;
  width: 50%;
  flex: 1;
}
span.save_widget span.filename {
  height: 100%;
  line-height: 1em;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  text-overflow: ellipsis;
  overflow: hidden;
  white-space: nowrap;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
[dir="rtl"] span.save_widget.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] span.save_widget span.filename {
  margin-left: 0;
  margin-right: 16px;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
  white-space: nowrap;
  padding: 0 5px;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
    padding: 0 0 0 5px;
  }
  span.checkpoint_status,
  span.autosave_status {
    display: none;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  span.checkpoint_status {
    display: none;
  }
  span.autosave_status {
    font-size: x-small;
  }
}
.toolbar {
  padding: 0px;
  margin-left: -5px;
  margin-top: 2px;
  margin-bottom: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.toolbar select,
.toolbar label {
  width: auto;
  vertical-align: middle;
  margin-right: 2px;
  margin-bottom: 0px;
  display: inline;
  font-size: 92%;
  margin-left: 0.3em;
  margin-right: 0.3em;
  padding: 0px;
  padding-top: 3px;
}
.toolbar .btn {
  padding: 2px 8px;
}
.toolbar .btn-group {
  margin-top: 0px;
  margin-left: 5px;
}
.toolbar-btn-label {
  margin-left: 6px;
}
#maintoolbar {
  margin-bottom: -3px;
  margin-top: -8px;
  border: 0px;
  min-height: 27px;
  margin-left: 0px;
  padding-top: 11px;
  padding-bottom: 3px;
}
#maintoolbar .navbar-text {
  float: none;
  vertical-align: middle;
  text-align: right;
  margin-left: 5px;
  margin-right: 0px;
  margin-top: 0px;
}
.select-xs {
  height: 24px;
}
[dir="rtl"] .btn-group > .btn,
.btn-group-vertical > .btn {
  float: right;
}
.pulse,
.dropdown-menu > li > a.pulse,
li.pulse > a.dropdown-toggle,
li.pulse.open > a.dropdown-toggle {
  background-color: #F37626;
  color: white;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
 * of chance of beeing generated from the ../less/[samename].less file, you can
 * try to get back the less file by reverting somme commit in history
 **/
/*
 * We'll try to get something pretty, so we
 * have some strange css to have the scroll bar on
 * the left with fix button on the top right of the tooltip
 */
@-moz-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-webkit-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-moz-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
@-webkit-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
/*properties of tooltip after "expand"*/
.bigtooltip {
  overflow: auto;
  height: 200px;
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
}
/*properties of tooltip before "expand"*/
.smalltooltip {
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
  text-overflow: ellipsis;
  overflow: hidden;
  height: 80px;
}
.tooltipbuttons {
  position: absolute;
  padding-right: 15px;
  top: 0px;
  right: 0px;
}
.tooltiptext {
  /*avoid the button to overlap on some docstring*/
  padding-right: 30px;
}
.ipython_tooltip {
  max-width: 700px;
  /*fade-in animation when inserted*/
  -webkit-animation: fadeOut 400ms;
  -moz-animation: fadeOut 400ms;
  animation: fadeOut 400ms;
  -webkit-animation: fadeIn 400ms;
  -moz-animation: fadeIn 400ms;
  animation: fadeIn 400ms;
  vertical-align: middle;
  background-color: #f7f7f7;
  overflow: visible;
  border: #ababab 1px solid;
  outline: none;
  padding: 3px;
  margin: 0px;
  padding-left: 7px;
  font-family: monospace;
  min-height: 50px;
  -moz-box-shadow: 0px 6px 10px -1px #adadad;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  border-radius: 2px;
  position: absolute;
  z-index: 1000;
}
.ipython_tooltip a {
  float: right;
}
.ipython_tooltip .tooltiptext pre {
  border: 0;
  border-radius: 0;
  font-size: 100%;
  background-color: #f7f7f7;
}
.pretooltiparrow {
  left: 0px;
  margin: 0px;
  top: -16px;
  width: 40px;
  height: 16px;
  overflow: hidden;
  position: absolute;
}
.pretooltiparrow:before {
  background-color: #f7f7f7;
  border: 1px #ababab solid;
  z-index: 11;
  content: "";
  position: absolute;
  left: 15px;
  top: 10px;
  width: 25px;
  height: 25px;
  -webkit-transform: rotate(45deg);
  -moz-transform: rotate(45deg);
  -ms-transform: rotate(45deg);
  -o-transform: rotate(45deg);
}
ul.typeahead-list i {
  margin-left: -10px;
  width: 18px;
}
[dir="rtl"] ul.typeahead-list i {
  margin-left: 0;
  margin-right: -10px;
}
ul.typeahead-list {
  max-height: 80vh;
  overflow: auto;
}
ul.typeahead-list > li > a {
  /** Firefox bug **/
  /* see https://github.com/jupyter/notebook/issues/559 */
  white-space: normal;
}
ul.typeahead-list  > li > a.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .typeahead-list {
  text-align: right;
}
.cmd-palette .modal-body {
  padding: 7px;
}
.cmd-palette form {
  background: white;
}
.cmd-palette input {
  outline: none;
}
.no-shortcut {
  min-width: 20px;
  color: transparent;
}
[dir="rtl"] .no-shortcut.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .command-shortcut.pull-right {
  float: left !important;
  float: left;
}
.command-shortcut:before {
  content: "(command mode)";
  padding-right: 3px;
  color: #777777;
}
.edit-shortcut:before {
  content: "(edit)";
  padding-right: 3px;
  color: #777777;
}
[dir="rtl"] .edit-shortcut.pull-right {
  float: left !important;
  float: left;
}
#find-and-replace #replace-preview .match,
#find-and-replace #replace-preview .insert {
  background-color: #BBDEFB;
  border-color: #90CAF9;
  border-style: solid;
  border-width: 1px;
  border-radius: 0px;
}
[dir="ltr"] #find-and-replace .input-group-btn + .form-control {
  border-left: none;
}
[dir="rtl"] #find-and-replace .input-group-btn + .form-control {
  border-right: none;
}
#find-and-replace #replace-preview .replace .match {
  background-color: #FFCDD2;
  border-color: #EF9A9A;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .insert {
  background-color: #C8E6C9;
  border-color: #A5D6A7;
  border-radius: 0px;
}
#find-and-replace #replace-preview {
  max-height: 60vh;
  overflow: auto;
}
#find-and-replace #replace-preview pre {
  padding: 5px 10px;
}
.terminal-app {
  background: #EEE;
}
.terminal-app #header {
  background: #fff;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.terminal-app .terminal {
  width: 100%;
  float: left;
  font-family: monospace;
  color: white;
  background: black;
  padding: 0.4em;
  border-radius: 2px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
}
.terminal-app .terminal,
.terminal-app .terminal dummy-screen {
  line-height: 1em;
  font-size: 14px;
}
.terminal-app .terminal .xterm-rows {
  padding: 10px;
}
.terminal-app .terminal-cursor {
  color: black;
  background: white;
}
.terminal-app #terminado-container {
  margin-top: 20px;
}
/*# sourceMappingURL=style.min.css.map */
    </style>
<style type="text/css">
    .highlight .hll { background-color: #ffffcc }
.highlight  { background: #f8f8f8; }
.highlight .c { color: #408080; font-style: italic } /* Comment */
.highlight .err { border: 1px solid #FF0000 } /* Error */
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
.highlight .o { color: #666666 } /* Operator */
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
.highlight .cs { color: #408080; font-style: italic } /* Comment.Special */
.highlight .gd { color: #A00000 } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .gr { color: #FF0000 } /* Generic.Error */
.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
.highlight .gi { color: #00A000 } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #000080; font-weight: bold } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
.highlight .gt { color: #0044DD } /* Generic.Traceback */
.highlight .kc { color: #008000; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008000 } /* Keyword.Pseudo */
.highlight .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #B00040 } /* Keyword.Type */
.highlight .m { color: #666666 } /* Literal.Number */
.highlight .s { color: #BA2121 } /* Literal.String */
.highlight .na { color: #7D9029 } /* Name.Attribute */
.highlight .nb { color: #008000 } /* Name.Builtin */
.highlight .nc { color: #0000FF; font-weight: bold } /* Name.Class */
.highlight .no { color: #880000 } /* Name.Constant */
.highlight .nd { color: #AA22FF } /* Name.Decorator */
.highlight .ni { color: #999999; font-weight: bold } /* Name.Entity */
.highlight .ne { color: #D2413A; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0000FF } /* Name.Function */
.highlight .nl { color: #A0A000 } /* Name.Label */
.highlight .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */
.highlight .nt { color: #008000; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #19177C } /* Name.Variable */
.highlight .ow { color: #AA22FF; font-weight: bold } /* Operator.Word */
.highlight .w { color: #bbbbbb } /* Text.Whitespace */
.highlight .mb { color: #666666 } /* Literal.Number.Bin */
.highlight .mf { color: #666666 } /* Literal.Number.Float */
.highlight .mh { color: #666666 } /* Literal.Number.Hex */
.highlight .mi { color: #666666 } /* Literal.Number.Integer */
.highlight .mo { color: #666666 } /* Literal.Number.Oct */
.highlight .sa { color: #BA2121 } /* Literal.String.Affix */
.highlight .sb { color: #BA2121 } /* Literal.String.Backtick */
.highlight .sc { color: #BA2121 } /* Literal.String.Char */
.highlight .dl { color: #BA2121 } /* Literal.String.Delimiter */
.highlight .sd { color: #BA2121; font-style: italic } /* Literal.String.Doc */
.highlight .s2 { color: #BA2121 } /* Literal.String.Double */
.highlight .se { color: #BB6622; font-weight: bold } /* Literal.String.Escape */
.highlight .sh { color: #BA2121 } /* Literal.String.Heredoc */
.highlight .si { color: #BB6688; font-weight: bold } /* Literal.String.Interpol */
.highlight .sx { color: #008000 } /* Literal.String.Other */
.highlight .sr { color: #BB6688 } /* Literal.String.Regex */
.highlight .s1 { color: #BA2121 } /* Literal.String.Single */
.highlight .ss { color: #19177C } /* Literal.String.Symbol */
.highlight .bp { color: #008000 } /* Name.Builtin.Pseudo */
.highlight .fm { color: #0000FF } /* Name.Function.Magic */
.highlight .vc { color: #19177C } /* Name.Variable.Class */
.highlight .vg { color: #19177C } /* Name.Variable.Global */
.highlight .vi { color: #19177C } /* Name.Variable.Instance */
.highlight .vm { color: #19177C } /* Name.Variable.Magic */
.highlight .il { color: #666666 } /* Literal.Number.Integer.Long */
    </style>
<style type="text/css">
    
/* Temporary definitions which will become obsolete with Notebook release 5.0 */
.ansi-black-fg { color: #3E424D; }
.ansi-black-bg { background-color: #3E424D; }
.ansi-black-intense-fg { color: #282C36; }
.ansi-black-intense-bg { background-color: #282C36; }
.ansi-red-fg { color: #E75C58; }
.ansi-red-bg { background-color: #E75C58; }
.ansi-red-intense-fg { color: #B22B31; }
.ansi-red-intense-bg { background-color: #B22B31; }
.ansi-green-fg { color: #00A250; }
.ansi-green-bg { background-color: #00A250; }
.ansi-green-intense-fg { color: #007427; }
.ansi-green-intense-bg { background-color: #007427; }
.ansi-yellow-fg { color: #DDB62B; }
.ansi-yellow-bg { background-color: #DDB62B; }
.ansi-yellow-intense-fg { color: #B27D12; }
.ansi-yellow-intense-bg { background-color: #B27D12; }
.ansi-blue-fg { color: #208FFB; }
.ansi-blue-bg { background-color: #208FFB; }
.ansi-blue-intense-fg { color: #0065CA; }
.ansi-blue-intense-bg { background-color: #0065CA; }
.ansi-magenta-fg { color: #D160C4; }
.ansi-magenta-bg { background-color: #D160C4; }
.ansi-magenta-intense-fg { color: #A03196; }
.ansi-magenta-intense-bg { background-color: #A03196; }
.ansi-cyan-fg { color: #60C6C8; }
.ansi-cyan-bg { background-color: #60C6C8; }
.ansi-cyan-intense-fg { color: #258F8F; }
.ansi-cyan-intense-bg { background-color: #258F8F; }
.ansi-white-fg { color: #C5C1B4; }
.ansi-white-bg { background-color: #C5C1B4; }
.ansi-white-intense-fg { color: #A1A6B2; }
.ansi-white-intense-bg { background-color: #A1A6B2; }

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

    </style>


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

div#notebook {
  overflow: visible;
  border-top: none;
}@media print {
  div.cell {
    display: block;
    page-break-inside: avoid;
  } 
  div.output_wrapper { 
    display: block;
    page-break-inside: avoid; 
  }
  div.output { 
    display: block;
    page-break-inside: avoid; 
  }
}
</style>

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

<!-- Loading mathjax macro -->
<!-- Load mathjax -->
    <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/latest.js?config=TeX-AMS_HTML"></script>
    <!-- MathJax configuration -->
    <script type="text/x-mathjax-config">
    MathJax.Hub.Config({
        tex2jax: {
            inlineMath: [ ['$','$'], ["\\(","\\)"] ],
            displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
            processEscapes: true,
            processEnvironments: true
        },
        // Center justify equations in code and markdown cells. Elsewhere
        // we use CSS to left justify single line equations in code cells.
        displayAlign: 'center',
        "HTML-CSS": {
            styles: {'.MathJax_Display': {"margin": 0}},
            linebreaks: { automatic: true }
        }
    });
    </script>
    <!-- End of mathjax configuration --></head>
<body>
  <div tabindex="-1" id="notebook" class="border-box-sizing">
    <div class="container" id="notebook-container">

<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[1]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">__future__</span> <span class="k">import</span> <span class="n">print_function</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">random</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">seaborn</span> <span class="k">as</span> <span class="nn">sns</span>
<span class="kn">from</span> <span class="nn">mpl_toolkits.mplot3d</span> <span class="k">import</span> <span class="n">Axes3D</span>
<span class="kn">from</span> <span class="nn">scipy</span> <span class="k">import</span> <span class="n">stats</span>
<span class="kn">from</span> <span class="nn">matplotlib</span> <span class="k">import</span> <span class="n">colors</span>
<span class="kn">from</span> <span class="nn">ipywidgets</span> <span class="k">import</span> <span class="n">interact</span><span class="p">,</span> <span class="n">interactive</span><span class="p">,</span> <span class="n">fixed</span><span class="p">,</span> <span class="n">interact_manual</span>
<span class="kn">import</span> <span class="nn">ipywidgets</span> <span class="k">as</span> <span class="nn">widgets</span>
<span class="n">plt</span><span class="o">.</span><span class="n">rcParams</span><span class="o">.</span><span class="n">update</span><span class="p">({</span>
    <span class="s2">&quot;text.usetex&quot;</span><span class="p">:</span> <span class="kc">True</span><span class="p">,</span>
    <span class="s2">&quot;font.family&quot;</span><span class="p">:</span> <span class="s2">&quot;sans-serif&quot;</span><span class="p">,</span>
    <span class="s2">&quot;font.sans-serif&quot;</span><span class="p">:</span> <span class="p">[</span><span class="s2">&quot;Helvetica&quot;</span><span class="p">]})</span>
</pre></div>

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

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Ejercicio-1">Ejercicio 1<a class="anchor-link" href="#Ejercicio-1">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Se está diseñando un web service, el cual cada vez que es invocado consulta a una base de datos.
Se estima que el tiempo que transcurre entre cada llamada al servicio se puede modelar según una distribución
exponencial con media μ = 4 segundos. Se debe decidir la arquitectura de base de datos a utilizar entre las dos siguientes:</p>
<p>1) Utilizar 2 bases de datos distribuidas.
Con probabilidad p = 0.6 las solicitudes son atendidas por la base 1 y con probabilidad q = 1 − p son atendidos por
la base de datos 2.
El tiempo que demora cada base de datos en atender una solicitud sigue una distribución exponencial con
medias, μ 1 = 0,7 seg y μ 2 = 1 seg respectivamente.</p>
<p>2) Utilizar 1 base de datos central.
En este caso la demora en resolver una solicitud sigue una distribución exponencial con μ = 0,8 segundos.</p>
<p>Simular para cada opción 100000 solicitudes procesadas, determinando:</p>
<ul>
<li><p>El tiempo medio de espera entre que la solicitud llega y puede ser procesada (suponer que ninguna conexión se
cae por timeout).</p>
</li>
<li><p>La fracción de las solicitudes que no esperaron para ser procesadas.</p>
</li>
<li><p>La opción 1 es más costosa que la segunda opción y la empresa sólo acepta realizar la inversión si el tiempo medio
que demora en resolver cada solicitud (tiempo en fila + tiempo de procesamiento) es como mínimo 50% menor
que la opción 2. ¿Qué solución le recomienda?</p>
</li>
</ul>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Comenzamos realizando la simulación para 100000 solicitudes procesadas en el escenario en que el tenemos una base de datos distribuida con dos nodos. Se generarán 100000 muestras correspondientes a los tiempos de arribo de las solicitudes según la tasa indicada en el enunciado, que luego serán divididas entre aquellas que son procesadas por la primera base y la segunda.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[2]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">simular_procesamiento_base_de_datos</span><span class="p">(</span><span class="n">tiempos_de_arribo</span><span class="p">,</span> <span class="n">media</span><span class="p">):</span>
    <span class="n">z</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">exponential</span><span class="p">(</span><span class="n">media</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">tiempos_de_arribo</span><span class="p">))</span>
    <span class="n">t_actual</span> <span class="o">=</span> <span class="mi">0</span>
    <span class="n">tiempos_de_espera</span> <span class="o">=</span> <span class="p">[]</span>
    <span class="n">tiempos_totales_de_procesamiento</span> <span class="o">=</span> <span class="p">[]</span>
    <span class="k">for</span> <span class="n">index</span><span class="p">,</span> <span class="n">t_arribo</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">tiempos_de_arribo</span><span class="p">):</span>
        <span class="k">if</span> <span class="n">t_arribo</span> <span class="o">&lt;</span> <span class="n">t_actual</span><span class="p">:</span>
            <span class="n">tiempos_de_espera</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">t_actual</span> <span class="o">-</span> <span class="n">t_arribo</span><span class="p">)</span>
            <span class="n">t_actual</span> <span class="o">+=</span> <span class="n">z</span><span class="p">[</span><span class="n">index</span><span class="p">]</span>
            <span class="n">tiempos_totales_de_procesamiento</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">t_actual</span> <span class="o">-</span> <span class="n">t_arribo</span> <span class="o">+</span> <span class="n">z</span><span class="p">[</span><span class="n">index</span><span class="p">])</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="n">tiempos_de_espera</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="mi">0</span><span class="p">)</span>
            <span class="n">t_actual</span> <span class="o">=</span> <span class="n">t_arribo</span> <span class="o">+</span> <span class="n">z</span><span class="p">[</span><span class="n">index</span><span class="p">]</span>
            <span class="n">tiempos_totales_de_procesamiento</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">z</span><span class="p">[</span><span class="n">index</span><span class="p">])</span>
    <span class="k">return</span> <span class="nb">sum</span><span class="p">(</span><span class="n">tiempos_de_espera</span><span class="p">)</span> <span class="o">/</span> <span class="nb">len</span><span class="p">(</span><span class="n">tiempos_de_espera</span><span class="p">),</span> <span class="nb">len</span><span class="p">([</span><span class="n">t</span> <span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="n">tiempos_de_espera</span> <span class="k">if</span> <span class="n">t</span> <span class="o">==</span> <span class="mi">0</span><span class="p">])</span> <span class="o">/</span> <span class="nb">len</span><span class="p">(</span><span class="n">tiempos_de_arribo</span><span class="p">),</span> <span class="nb">sum</span><span class="p">(</span><span class="n">tiempos_totales_de_procesamiento</span><span class="p">)</span> <span class="o">/</span> <span class="nb">len</span><span class="p">(</span><span class="n">tiempos_totales_de_procesamiento</span><span class="p">)</span>
</pre></div>

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

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[3]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span><span class="p">(</span><span class="mi">32</span><span class="p">)</span>
<span class="n">media_arribos</span> <span class="o">=</span> <span class="mi">4</span>            
<span class="n">tasa_de_arribo</span> <span class="o">=</span> <span class="mi">1</span><span class="o">/</span><span class="n">media_arribos</span>
<span class="n">N</span> <span class="o">=</span> <span class="mi">100000</span>
<span class="n">p</span> <span class="o">=</span> <span class="mf">0.6</span>
<span class="n">media_base_1</span> <span class="o">=</span> <span class="mf">0.7</span>
<span class="n">media_base_2</span> <span class="o">=</span> <span class="mi">1</span>

<span class="c1">#Generamos N tiempos de arribo.</span>
<span class="n">z</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">exponential</span><span class="p">(</span><span class="mi">1</span><span class="o">/</span><span class="n">tasa_de_arribo</span><span class="p">,</span> <span class="n">N</span><span class="p">)</span>

<span class="c1">#Calculamos los tiempos de arribo.</span>
<span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">concatenate</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">cumsum</span><span class="p">(</span><span class="n">z</span><span class="p">)),</span> <span class="n">axis</span><span class="o">=</span><span class="kc">None</span><span class="p">)</span>

<span class="c1">#Separamos el proceso segun la base de datos donde sea procesada. Generamos probabilidades aleatorias y las iteramos.</span>
<span class="n">u</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">rand</span><span class="p">(</span><span class="n">N</span><span class="p">)</span>

<span class="n">t_base_1</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">t_base_2</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">]</span>

<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">N</span><span class="p">):</span>
    <span class="k">if</span> <span class="n">u</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">&lt;</span> <span class="n">p</span><span class="p">:</span>
        <span class="n">t_base_1</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
    <span class="k">else</span><span class="p">:</span>
        <span class="n">t_base_2</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>

<span class="n">tiempo_medio_de_espera_base_1</span><span class="p">,</span> <span class="n">fraccion_sin_espera_base_1</span><span class="p">,</span> <span class="n">tiempo_medio_procesamiento_base_1</span> <span class="o">=</span> <span class="n">simular_procesamiento_base_de_datos</span><span class="p">(</span><span class="n">t_base_1</span><span class="p">,</span> <span class="n">media_base_1</span><span class="p">)</span>
<span class="n">tiempo_medio_de_espera_base_2</span><span class="p">,</span> <span class="n">fraccion_sin_espera_base_2</span><span class="p">,</span> <span class="n">tiempo_medio_procesamiento_base_2</span> <span class="o">=</span> <span class="n">simular_procesamiento_base_de_datos</span><span class="p">(</span><span class="n">t_base_2</span><span class="p">,</span> <span class="n">media_base_2</span><span class="p">)</span>
</pre></div>

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

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Utilizando un promedio ponderado, calculamos cual es el tiempo medio de entrega y la fracción de solicitudes que no debieron esperar para ser procesadas:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[4]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">tiempo_promedio_de_espera</span> <span class="o">=</span> <span class="p">(</span><span class="n">tiempo_medio_de_espera_base_1</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">t_base_1</span><span class="p">)</span> <span class="o">+</span> <span class="n">tiempo_medio_de_espera_base_2</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">t_base_2</span><span class="p">))</span> <span class="o">/</span> <span class="n">N</span>
<span class="n">fraccion_sin_espera</span> <span class="o">=</span> <span class="n">fraccion_sin_espera_base_1</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">t_base_1</span><span class="p">)</span> <span class="o">/</span> <span class="n">N</span> <span class="o">+</span> <span class="n">fraccion_sin_espera_base_2</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">t_base_2</span><span class="p">)</span> <span class="o">/</span> <span class="n">N</span>
<span class="n">tiempo_promedio_de_procesamiento</span> <span class="o">=</span> <span class="p">(</span><span class="n">tiempo_medio_procesamiento_base_1</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">t_base_1</span><span class="p">)</span> <span class="o">+</span> <span class="n">tiempo_medio_procesamiento_base_2</span> <span class="o">*</span> <span class="nb">len</span><span class="p">(</span><span class="n">t_base_2</span><span class="p">))</span> <span class="o">/</span> <span class="n">N</span>

<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;El tiempo medio de espera para una base distribuida con dos nodos es </span><span class="si">{}</span><span class="s2"> segundos.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">tiempo_promedio_de_espera</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;La fracción de solicitudes que no deben esperar en caso de que haya una base distribuida con dos nodos es </span><span class="si">{}</span><span class="s2">.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">fraccion_sin_espera</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;El tiempo medio de procesamiento para una solicitud utilizando una base distribuida con dos nodos es </span><span class="si">{}</span><span class="s2"> segundos.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">tiempo_promedio_de_procesamiento</span><span class="p">))</span>
</pre></div>

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

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


<div class="output_area">

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


<div class="output_subarea output_stream output_stdout output_text">
<pre>El tiempo medio de espera para una base distribuida con dos nodos es 0.09396557408749351 segundos.
La fracción de solicitudes que no deben esperar en caso de que haya una base distribuida con dos nodos es 0.89839.
El tiempo medio de procesamiento para una solicitud utilizando una base distribuida con dos nodos es 1.0006867507267798 segundos.
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Ahora, obtengamos las mismas mediciones pero realizando la simulación para el segundo escenario, en donde tenemos una única base de datos centralizada.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[5]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span><span class="p">(</span><span class="mi">32</span><span class="p">)</span>
<span class="n">media_arribos</span> <span class="o">=</span> <span class="mi">4</span>            
<span class="n">tasa_de_arribo</span> <span class="o">=</span> <span class="mi">1</span><span class="o">/</span><span class="n">media_arribos</span>
<span class="n">N</span> <span class="o">=</span> <span class="mi">100000</span>
<span class="n">media_base</span> <span class="o">=</span> <span class="mf">0.8</span>

<span class="c1">#Generamos N tiempos de arribo.</span>
<span class="n">z</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">exponential</span><span class="p">(</span><span class="mi">1</span><span class="o">/</span><span class="n">tasa_de_arribo</span><span class="p">,</span> <span class="n">N</span><span class="p">)</span>

<span class="c1">#Calculamos los tiempos de arribo.</span>
<span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">concatenate</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">cumsum</span><span class="p">(</span><span class="n">z</span><span class="p">)),</span> <span class="n">axis</span><span class="o">=</span><span class="kc">None</span><span class="p">)</span>

<span class="n">tiempo_medio_de_espera_base</span><span class="p">,</span> <span class="n">fraccion_sin_espera_base</span><span class="p">,</span> <span class="n">tiempo_promedio_de_procesamiento_base</span> <span class="o">=</span> <span class="n">simular_procesamiento_base_de_datos</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">media_base</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;El tiempo medio de espera para una base centralizada es </span><span class="si">{}</span><span class="s2"> segundos.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">tiempo_medio_de_espera_base</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;La fracción de solicitudes que no deben esperar en caso de que haya una base centralizada es </span><span class="si">{}</span><span class="s2">.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">fraccion_sin_espera_base</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;El tiempo medio de procesamiento para una solicitud utilizando una base centralizada es </span><span class="si">{}</span><span class="s2"> segundos.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">tiempo_promedio_de_procesamiento_base</span><span class="p">))</span>
</pre></div>

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

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


<div class="output_area">

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


<div class="output_subarea output_stream output_stdout output_text">
<pre>El tiempo medio de espera para una base centralizada es 0.2007744701672654 segundos.
La fracción de solicitudes que no deben esperar en caso de que haya una base centralizada es 0.7984520154798452.
El tiempo medio de procesamiento para una solicitud utilizando una base centralizada es 1.1658036051222367 segundos.
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Vemos que, en el caso de utilizar una base distribuida con dos nodos a diferencia de una centralizada, hay una disminución del tiempo de procesamiento de una solicitud promedio, pasando de 1.1658036051222367 segundos a 1.0006867507267798 segundos. Sin embargo, esto no es suficiente para cumplir con lo solicitado, una disminución del tiempo del 50% (el tiempo de respuesta promedio de la base distribuida debería estar debajo de 0.5829018025611183 segundos).</p>
<p>Por lo tanto, le recomendaríamos a la empresa que no realice la inversión y mantenga su infraesctructura actual, ya que al realizar al utilizar una base distribuida no se puede cumplir con el tiempo de procesamiento deseado.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Ejercicio-2">Ejercicio 2<a class="anchor-link" href="#Ejercicio-2">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Un servidor recibe solicitudes las cuales son procesadas de una por vez en el orden de llegada (política FIFO).</p>
<p>Se determinó que en 10 milisegundos existe una probabilidad p = 1/40 que llegue una nueva solicitud y una probabilidad q = 1/30 que una solicitud termine de ser procesada y deje el sistema.</p>
<p>Se desea estudiar la cantidad de solicitudes en el servidor considerando tanto las que están en cola esperando ser procesadas como la solicitud que está siendo procesada.</p>
<p>a. Determine la matriz de transición de estados explicando cómo se obtiene la misma.</p>
<p>b. Utilizando Matlab, Octave o Python simule la evolución del sistema a lo largo de 1.000 segundos suponiendo que el servidor comienza sin estar procesando solicitudes.</p>
<p>c. Realice un gráfico mostrando la cantidad de solicitudes en el servidor en cada instante de tiempo.</p>
<p>d. Realice un histograma mostrando cuantas veces el sistema estuvo en cada estado.</p>
<p>e. Determine el % de tiempo que el servidor se encuentra sin procesar solicitudes.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="Respuestas">Respuestas<a class="anchor-link" href="#Respuestas">&#182;</a></h2>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>a) Comenzamos analizando cómo sería la matriz de transiciones entre estados del sistema. Cada estado está representado por la cantidad de solicitudes que hay dentro del sistema, teniendo en cuenta tanto la solicitud que se puede estar procesando como las solicitudes que se encuentram en la cola de espera que se forma en caso de que arribe más de una solicitud al sistema y exista otra que no se haya terminado de procesar.</p>
<p>La matriz, en términos de las probabilidades $p$ y $q$, puede expresarse de la siguiente manera:</p>
<p>P = $\begin{pmatrix}
        1-p           &amp; p                 &amp; 0                 &amp; 0                 &amp; 0                 &amp; 0             &amp; 0 \\
        (1-p) \cdot q &amp; (1-p) \cdot (1-q) &amp; p \cdot (1-q)     &amp; 0                 &amp; 0                 &amp; 0             &amp; 0 \\
        0             &amp; (1-p) \cdot q     &amp; (1-p) \cdot (1-q) &amp; p \cdot (1-q)     &amp; 0                 &amp; 0             &amp; 0 \\
        0             &amp; 0                 &amp; (1-p) \cdot q     &amp; (1-p) \cdot (1-q) &amp; p \cdot (1-q)     &amp; 0             &amp; 0 \\
        0             &amp; 0                 &amp; 0                 &amp; (1-p) \cdot q     &amp; (1-p) \cdot (1-q) &amp; p \cdot (1-q) &amp; 0 \\ 
     \end{pmatrix}$</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Notemos que solamente hemos colocado los primeros cinco estados en la matriz. Es evidente que a partir de la misma podemos generalizar las probabilidades de transición para todos los estados posibles, ya que desde un estado $n$ solamente es posible llegar los los estados $n-1$ y $n+1$.</p>
<ul>
<li><p>La probabilidad de transitar del estado $n$ al $n-1$ es la multiplicación entre la probabilidad de que exista un egreso del sistema y la probabilidad de que no haya un ingreso.</p>
</li>
<li><p>La probabilidad de quedarse en el estado $n$ partiendo del estado $n$ es la multiplicación entre la probabilidad de que no exista un ingreso y la probabilidad de que no exista un egreso.</p>
</li>
<li><p>La probabilidad de transitar del estado $n$ al $n+1$ es la multiplicación entre la probabilidad de que haya un ingreso al sistema y la probabilidad de no haya un egreso.</p>
</li>
</ul>
<p>Esta generalización es valida para todos los $n \geq 1$, ya que para $n=0$ no hay egresos ya que el estado del sistema es vacío. Para este caso, la probabilidad de seguir en el mismo estado $n$ es la probabilidad de que no haya un ingreso, mientras que la probabilidad de pasar al estado $n+1$ es la probabilidad de que haya un ingreso.</p>
<p>Matemáticamete, podemos escribir:</p>
<ul>
<li>$p_{i, i-1} = (1-p) \cdot q, i \geq 1 $</li>
<li>$p_{i, i} = (1-p) \cdot (1-q), i \geq 1 $</li>
<li>$p_{i, i+1} = p \cdot (1-q), i \geq 1  $</li>
<li>$p_{0, 1} = p $</li>
<li>$p_{0, 0} = 1-p$</li>
<li>$p_{i, i-2} = 0$</li>
<li>$p_{i, i+2} = 0$</li>
</ul>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>b) Notemos que hay que simular la evolución del sistemas durante 1000 segundos y pueden ocurrir transiciones en intervalos de 10 milisegundos, o lo que es lo mismo 0.01 segundos. Realizando la división $\frac{1000s}{0.01s} = 100000$ obtenemos la cantidad de intervalos que debemos simular.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[6]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span><span class="p">(</span><span class="mi">32</span><span class="p">)</span>
<span class="n">N</span> <span class="o">=</span> <span class="mi">100000</span>
<span class="n">probabilidad_ingreso</span> <span class="o">=</span> <span class="mi">1</span><span class="o">/</span><span class="mi">40</span>
<span class="n">probabilidad_egreso</span> <span class="o">=</span> <span class="mi">1</span><span class="o">/</span><span class="mi">30</span>
<span class="n">probabilidad_n_anterior</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</span> <span class="o">-</span> <span class="n">probabilidad_ingreso</span><span class="p">)</span> <span class="o">*</span> <span class="n">probabilidad_egreso</span>
<span class="n">probabilidad_n_actual</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</span> <span class="o">-</span> <span class="n">probabilidad_ingreso</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="mi">1</span> <span class="o">-</span> <span class="n">probabilidad_egreso</span><span class="p">)</span>
<span class="n">probabilidad_n_siguiente</span> <span class="o">=</span> <span class="n">probabilidad_ingreso</span> <span class="o">*</span> <span class="p">(</span><span class="mi">1</span> <span class="o">-</span> <span class="n">probabilidad_egreso</span><span class="p">)</span>

<span class="n">estados</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">estado_actual</span> <span class="o">=</span> <span class="mi">0</span>

<span class="n">p_auxiliares</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">rand</span><span class="p">(</span><span class="n">N</span><span class="o">-</span><span class="mi">1</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">N</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
    <span class="k">if</span> <span class="n">estado_actual</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
        <span class="k">if</span> <span class="n">p_auxiliares</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">&lt;=</span> <span class="n">probabilidad_ingreso</span><span class="p">:</span>
            <span class="n">estado_actual</span> <span class="o">+=</span> <span class="mi">1</span>
    <span class="k">else</span><span class="p">:</span>
        <span class="k">if</span> <span class="n">p_auxiliares</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">&lt;=</span> <span class="n">probabilidad_n_anterior</span><span class="p">:</span>
            <span class="n">estado_actual</span> <span class="o">-=</span> <span class="mi">1</span>
        <span class="k">elif</span> <span class="n">p_auxiliares</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">&gt;</span> <span class="n">probabilidad_n_anterior</span> <span class="o">+</span>  <span class="n">probabilidad_n_actual</span><span class="p">:</span>
            <span class="n">estado_actual</span> <span class="o">+=</span> <span class="mi">1</span>
    <span class="n">estados</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">estado_actual</span><span class="p">)</span>
</pre></div>

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

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>c) Realizamos el gráfico solicitado en el enunciado, viendo como el sistema transita distintos estados a través del tiempo.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[7]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">GROUP_BY_ESTADOS</span> <span class="o">=</span> <span class="mi">250</span>

<span class="n">puntos_en_el_tiempo</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">1000</span><span class="p">,</span> <span class="mf">0.01</span><span class="o">*</span><span class="n">GROUP_BY_ESTADOS</span><span class="p">)</span>
<span class="n">estados_grouped</span> <span class="o">=</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="nb">len</span><span class="p">(</span><span class="n">estados</span><span class="p">)</span><span class="o">//</span><span class="n">GROUP_BY_ESTADOS</span><span class="p">):</span>
    <span class="n">estados_grouped</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">estados</span><span class="p">[</span><span class="n">i</span><span class="o">*</span><span class="n">GROUP_BY_ESTADOS</span><span class="p">:(</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="n">GROUP_BY_ESTADOS</span><span class="p">]))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">dpi</span><span class="o">=</span><span class="mi">125</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">puntos_en_el_tiempo</span><span class="o">.</span><span class="n">tolist</span><span class="p">(),</span> <span class="n">estados_grouped</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;cornflowerblue&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Cantidad de solicitudes en el sistema a lo largo del tiempo.&quot;</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;$t(s)$&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;$n$&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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

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


<div class="output_area">

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


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqAAAAHgCAYAAAB6jN80AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAATOQAAEzkBj8JWAQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOy9e7Ak133f9z0zc+/dJ3CxIEFCskXhgopAJnLihShFki3b9MKKqpLIpQCky1RccsXaddkpV1JOFqJTZVb5UcxCKsl26eEFGZmiSVk0oJgPUaS0S4gURTEksUvSJEFQ1F6ABEEQr927e/e+Z+bkj+4zfc7pc/p5eqZ75vupunVnevpx+nX627/XEVJKEEIIIYQQMi16s24AIYQQQghZLChACSGEEELIVKEAJYQQQgghU4UClBBCCCGETBUKUEIIIYQQMlUoQAkhhBBCyFShACWEEEIIIVOFApQQQgghhEwVClBCCCGEEDJVKEAJIYQQQshUoQAlhBBCCCFThQKUEEIIIYRMFQrQliKEOCmEOC+EuCSEuBb/XRJCnBNCrM66fQohxCNCCFmkTUKIs/G8pxpoR+11N9m+JoivDymEWNOmFT4fjvVVXrYqXTvm08Z1jmuub+rneN4JfY6aXm/bCNR31zpWvC9mAwVoCxFCnANwCcBpAGsAHgewDuAkgLMAnpp2pxQLYimEODvN7ZLZwvNOFLwWSNfhNdwuKEBbRnxjnAWwAeA+KeVtUsr7pJT3SikFgIcArAK4MMt2avwcgLullBuzbggBUO988FzOPzzHhKThfTEDBrNuAEmIzf/n4q/3SinX7XmklA/G1s/7hRD3SykfnWoj0+3ZQCSWSQuocz54LucfnmNC0vC+mA20gLaL0/H/h1ziU+M8gIsATugThRCrcSzMldjNoOJG77dXEMeSyvjzaW2ZK3EIgD7vBUQhAQBwTo/X0WJvVrX5V+OYmitxGy642lCx3aXWnbG9UuuIj9ElrX2ltiuEuF+L51XH2ekGis/NJW2+R4qGXLjOh2e9lxzn2Vg257x7Y6biYyOtaY0d8zLHtuZ2Ct8zobZZcp25x8F3feQtm3UtlN0n6zieta7J+632qHWljq8o0W9kHLPa68hZf+V7OUSb1fmOP5+O533Esy51zk6KJC5zzVpfnb5p6v2uta5Sz7GybQhxXWvrV8fqWpH9buI6mwpSSv615A/RzSEBnKyw7Fq8rETknj+vrU8COG3Nfy6erv4/En++or5r857S5ruASCivxr+dj6er7ycBXIunXYnXe0X7LgGcqtLusuv2HKfS64jbJeN2nY+XUe07V+DcnHXs4zXX8lZbHtG27WqXOvZrjmmr2rRVbb1qHy5p2/Gdy6zz/oi9Hft4TeOYlzm2nnNT+NyixD0TcJupc1znGvNcH7nLZl0LNY6jug7OWfOrz+e19tp9Qan+LkSfmbEe5zlCiXu56HrLtllbx+n4/zXtnLr6hSvauu1tV94fNNzv+s6BNU/h59gMr+tr8bauxJ8vWMf5rGO/al1ns/ybeQP4p52M5AZNPdQLLHvOvpjj6arDuuCZ/5p906p2WNNOum4A+8ZF0hna86ntGTdFmXaXXbfnOJVt32lP+1ZR8IUhPp7XkBaFxnHW2nDeWv6U6mA8xz5PgKppvn0+m7Gs77yXEaCNHfOix9ZzXkqdW5S8ZwJts6gALXqNuc5x0WV910LV43gp43o46djuBce8hfo7zzGrvY6M+7DUvVxhvUX7eV3o3G/99ohnXfoyayH2Bw33u65j5WlHoefYDK9rXaTrbVnTfgt6nc3yb+YN4J92MuKLtOKyJ+0Oxlqv76ZwvVGlxEWRG1frBC952uGygBZqd5V1O+ap0r4r8d+a4091UKlj6NiPa572nMybzzonetuKClBnR6R1pOcylq0lQJs+5kWPbca2C59blLxnAm2z6IO16DXmuz6KLOu7FqoeR1sQqYdmypJsX0Mo2d955qu9joz7sNS9XGK9Zft5tQ7bWreatY9IC9DK+4Mp9Lsl7pMyAnQW17USmaljqW3znLV8retsln9MQmoXG4g6htJIKS8DuKy+CyFOAvhBAA/kLHo55/cynIz/v8/z+0Ukca4ASrW79LpDtA9RZwNEHZGPu3O2+zCA00KIa/HnCwAel1qcrxZ7dNGzjgsA7tfaU4j4eDrXK6PA+3vLrK8CTR/z3GObQdVzW+eeCXE9uahzHOosC1TfJ9/6c7dbo78Lug4XTd3LQK02f876rrbta+NlxPdugP2ZVb9bl6lf1woppetY/0dEQjnUeZk5FKDtYh3ASSHEybij8RIHVG9IKR/Qpp1H9LalLrjLiGqIZnG1RnttVFKUL5vQeSMXbHeldddZhxbEfRnA2zPWm9mxSCnPCCEuATiDKN7ubLz+iwAejM+12pbvfKhtlO10i3SiTdLoMS94bFPUPLeV7plQ15OLqseh7rJN7lMeFfu74Otw0NS9DKBym+3jr5Z9OWP+k9a8VfdnJv1uHWbcBudxklJuCCGA5Hg2ep1NAwrQdnER0U1/Jv5zEmfDnYL25hML0lMAHgVwRn+DEkLkWQZDoS54nxU3dSOUaHfpdddtn5RyPb7hIWuWu5JSPgzg4fitVVksTgO4JIS4W2vbCc8qVJt9Dwwfs+iE9Dfuxo953rF1WfJCntuiNL3NKseh7rKzOI5AmP6uwT6zqXu5TpttUaO+357TRqD+/sys363KjNvgPE6axVMJzsaus2nBMkztQr1pnc4poaDE6QVgcmGeAnBZSvmAx3w/DdQN8WbP73bZljLtLrXugOvYQGSV9pU1kpqbO4UQYi2e734geouVUl6UUp4B8GA82/0yKYDs2w/V5rLuX7XPzvWqMiEl1+klPk4uARr8mBc9thnNrXVuKxJ8m3WOQ4Bj2Mg+ZRGiv2uyz2zqXg7cZmUx9bVxMj3A/ky93w3EzNog3MOSvin+fxlo7jqbJhSgLSK+oFSn763fieiCW5dSPqQtBzjenETJ+oQF8L0xI7aSXER009r1B8/BikUp0+6y6w7Rvhj1UvAxa341LOpGTrjE1Xi+dzg6MvXmrzrohwCsxi42fVunEImA9bIPnfgYPwpgzbPPgD82S8c+7+ot/E3W9BDnregxL3NsXdQ9t1VoYpt1jkOVZe1rYarHMUR/N4U+s6l7GQjQ5nhd6r40LKd2m2Mq78+M+t08vM+xKbYhi/P6/RgbpNQ51s9BofMSv2i2b5z7WWQ+8S/7D2bZBlctsGuwMnyRZLxdQHRzqPqE6s/OnlPbSGUKIzsLXtU3U9mRdhkmvVyEXe/NlclduN1l1+05tqXXgaTkxjWk66zl1mzV1quW1+vt6RmQel0+1Ta9xl+dOqBqn1N1QHOW9Z33U1q7VD3MS0iuVzmNY1702Gacm8LnFiXvmUDbLJrdW/Qac53joss6r4VQx1G7plL1Wx1tKdXf5RyzyuvIuA9L3csl1lu2n/dePzDvy0tI7ssr2vlbDbE/aLjfzdpPa75Cz7EZXteqJNoVzzZd1Qwyz4u2zzLvmpv238wbwD/PiYluWP1iUgVqvR2i1hmpDkWVqrlfu7BXtXlLPUy16ZPlXDdufFOoDkYJEhW36upoyrS71Lo9x6n0OhB19nZnlNnZOZZX+6g6i7P2MdaOh14o3rktFBSg2j7rwkJ1wK56obnnXTs/emf3CKLr9jyszq7JY17m2GacmyLbCSJAS26z0IO16HHIOMeFjqHvWghxHFHiQV2238g4ZiHWkSXyCt3LZdZbps151w+S+1It90g8zXiJDLQ/TfYBZe6TQs+xWVzXSMSn3l9PjlXOdew8L2ixABVxAwkhhBCyIMRu2qvS4UYWQlwBcEJKedv0W7a4iKgU2lUpZWsz10PCGFBCCCFk8TgP4GN2bGCce7CGqCYsIY1BCyghhBCyYMRC8xFE2d4PIyrX8wZEbvENAHfJJPGJTIFFs4BSgBJCCCELSOyGfxBR7ddVJEXtH6T4nD4UoIQQQgghhDQIY0AJIYQQQshUoQAlhBBCCCFThQKUEEIIIYRMFQpQQgghhBAyVQazbkAXEULcDuAnADwNYHe2rSGEEEIImSmHAHwvgN+XUr5cZAEK0Gr8BID3zroRhBBCCCEt4i0AfqvIjBSg1XgaAN7znvfgda973YybQgghhBAyO7761a/iZ37mZ4BYHxWBArQauwDwute9DidPnpx1WwghhBBC2kDhsEQmIRFCCCGEkKlCAUoIIYQQQqYKBSghhBBCCJkqFKCEEEIIIWSqUIASQgghhJCpQgFKCCGEEEKmCgUoIYQQQgiZKhSghBBCCCFkqlCAEkIIIYSQqUIBSgghhBBCpgoFKCGEEEIImSoUoIQQQgghZKpQgBJCCGk1YynxqSf38KVv7M+6KYSQQAxm3QAXQoizAG4HsAZgFcAZKeW6Nc/p+LcNAHcDOG/P41l3peUIIYTMhs/86T7e9dgWAOCf/a1bceeJ/oxbRAipS+sEqBDiHDRRGIvRK0KIu7Vp9wO4T0r5QPx9FcAlIcS9UsqNjHVXWo4QQsjs+MMv7U4+f+WZAwpQQuaANrrgTwM4qb5IKR+KPz6ozfNWAOe1eTYAXAbwppx1V12OEELIrBCzbgAhJDRtFKBA5HrXWVfTYqvlSQBXrXmuAnjAt8KqyxFCCJktPSpQQuaO1rngpZS3OSavAbiofQaiGE6dDaSFq72O0ssJIe4EcKc1+Z6M7RBCCAmJpj/HUs6uHYSQYLROgNrEcZsAcC7+fyJj9iZ+OwPgbRm/E0IIaRDaPwmZP1otQGO3+TsQJQ7NKlP9PIAPWtPuAfDeGbSFEEIWD02B0gBKyHzQagGKSHz+nJTyojZNxXCuWvOuIh3fqVNpOSnlcwCe06cJwfdxQgiZFuxxCZk/2pqEpMovvU9K+Wj8XQlHnyX0RMZvdZYjhBAyQ/R3fhpACZkPWilA47jPdSU+Y04DRukkO3FoFcAF3zqrLkcIIWS26BZQuuAJmQ9aJ0CFEKcAvBnACSHE6fhPjYykeHs8j1pmFZGwfFhfjxDikmY5LbQcIYSQlsEYUELmjjbGgD6CyCp5vzV9UqtTSvmoEOJEPGrSFURDat7nGM1oDZGLfaPkcoQQQlqCYQGdWSsIISFpnQD11AF1zZdptYwTl1LryluOEEJIuxBUoITMHa1zwRNCCCE+qD8JmQ8oQAkhhLQaVr4jZP6gACWEENJqhBYFOqYJlJC5gAKUEEJIq6EFlJD5gwKUEEJIZ5Csw0TIXEABSgghpNXoBlC64AmZDyhACSGEtBtNgY7Gs2sGISQcFKCEEEJaTU8ToGMKUELmAgpQQgghnWFMHzwhcwEFKCGEkM5AFzwh8wEFKCGEkFajl2Ea0QBKyFxAAUoIIaTV6JWX6IInZD6gACWEENJqdM1JFzwh8wEFKCGEkFajZ75TgBIyH1CAEkIIaTVjzQc/5khIhMwFFKCEEEJaDV3whMwfFKCEEEJajaQAJWTuoAAlhBDSavQYUI6ERMh8QAFKCCGk1Yw0E+iIZZgImQsoQAkhhLQawwJK/UnIXEABSgghpNUYMaCj2bWDEBIOClBCCCGtxsiCZxkmQuYCClBCCCGtZmwMxTm7dhBCwkEBSgghpNXo47+zDBMh8wEFKCGEkFZjFqKnC56QeYAClBBCSKsxXPDUn4TMBRSghBBCWo0e90kXPCHzAQUoIYSQVjNmIXpC5o7BrBtQFSHEqj1NSrlRcLkTAK4WmZ8QQshs4VCchMwfrbSACiHWhBAXPL+dF0JIANfsPyHEyYx1ntSWuxLPfzZ86wkhhITETEKaXTsIIeFolQVUCHEKwAMANgCcEkKseqyUah7FGoB7pZSXM1Z/AsAZAOuIrJ9Z8xJCCGkJTEIiZP5olQCVUl4EcDG2ZPqsk1eklI/qE4QQ56WUZwpsYj3eBiGEkI4gWYaJkLmjlS74LKSUD+nfhRCnAZyfUXMIIYQ0DAvREzJ/tMoCWpY4oeheKeXDBRc5KYRYiz/fC+CclHK9mdYRQggJwYhDcRIyd3RagAJ4K4pbP68C2FBiNRail4QQd2Vlwwsh7gRwpzX5niqNJYQQUh7dBS8RWUR7PTGz9hBC6tN1AXpaSvlgkRnjpKPL2vd1IQQAnAbwkG85RIlLb6vTSEIIIdWxrZ4j2cH4MUKIQWfvYSHE/Ygy2uuwDuC+nHnOI3LX639vqbldQgghBRhLCTvtaDQGnnjmAN96eTiTNhFC6tNlC+h9iNzqhRBCXEEU86nHi64iR8RKKZ8D8Jy1rhLNJIQQUhVXzOelK/t412NbAIBf+rurOH64s7YUQhaWLt+1azBrgRbhccc6nAXvCSGEzB7pqLr0vj/ennx+4pmDKbaGEBKKLgvQH/T9IIQ4JYS4ZA3X+Sg0a2dcvmm9RAY9IYSQKeMq+7m7n0xcGtAjRUgXaZULPs5MPwPgVDzpESHEZQBvd2SqrwP4XMbq1hCNfrQBAFLKB4UQZ2P3+e0AVqWUd4dsPyGEkLC4BKg+ablVTzFCSFFadevGNTmLZrXfm/HbRQC3OaZnZbsTQghpGeOckY+W+rSAEtJFuuyCJ4QQMufkjbzZ51OMkE7CW5cQQkhryROgHBmekG5CAUoIIaS15A296cqSJ4S0HwpQQgghrWWcozApQAnpJhSghBBCWkueCz7vd0JIO6EAJYQQ0lrogidkPqEAJYQQ0lryLaBUoIR0EQpQQgghrYUxoITMJxSghBBCWoukC56QuYQClBBCSGthEhIh8wkFKCGEkNYyogWUkLmEApQQQkhryR0JiQKUkE5CAUoIIaS1yLwkpCm1gxASFgpQQgghrYVlmAiZTyhACSGEtBYmIREyn1CAEkIIaS0cCYmQ+YQClBBCSGthIXpC5hMKUEIIIa2FFlBC5hMKUEJq8MWn9/Fvf38T33p5OOumEDKXsAwTIfPJYNYNIKTL/Mrv3QQA/OenD/BrZ07MuDWEzB95FlBmwRPSTWgBJSQAB6NZt4CQ+YQWUELmEwpQQgKRVzCbEFKePAsnyzAR0k0oQAkJxPVtPgkJCU2uBXQ6zSCEBIYClJCKjK0n40s36IcnJDTMgidkPqEAJaQidtznSzdynpSEkNLkjoTE246QTkIBSkhFRrYFdJNPQkJCo8eAvuG1y6nfaQAlpJtQgBJSkWHKAkoXPCGh0S2cP/R9DgFKHzwhnYQClJCKHIzMB9+LdMETEhxdX5441sMdt/a8vxNCukNnBagQYlUIsSaEWJ11W8hiMrL0JmNACQmPHunSE8A//h+P44c1SyjLMBHSTVopQGNhecHz20khhARwDcAVANeEEGcLrve0EOJs/P+cEGItYLPJgmFbQK/dHKfiQgkh9dDvqV5P4MTxPn7qhw5PpvGWI6SbtGooTiHEKQAPANgAcEoIsSql3LBmOwHgDIB1AFellJcLrvt+APdJKR+Iv68CuCSEuNexDUJysWNAZTyt38rXOkK6ibQsoADQ67l/J4R0h1Y9KqWUF6WUZwC8L2fW9XjeQuIz5q0Azmvb2gBwGcCbyreUkLQABdKZ8YSQehgu+PiJJbTfKUAJ6SatEqBNEVs7TwK4av10FZHFlZDSDEfpJx/1JyFh0bPghVD/EwnKLHhCukmrXPAlOKnFb94L4JyUcj1jfjWv7Wrf0H4jpBR2EpJvGiGkOvpLXX8iQJNplJ+EdJMuCtCrADaklA8DUcISoljOuzJiOU9krC/rNwgh7gRwpzX5nqKNJfOLnYQEACPHNEJIdfRC9L04CLSnCVCOhERIN+mcAI3jPi9r39djd8xpAA81sMkzAN7WwHpJx3HGgFJ/EhIUXWD2XBZQ3nOEdJJ5iQFdB3Bfxu8q9tOuGbqKdFyozXlEbn797y0V2kjmjKEj4JMueELCot9mSngaFtDpNocQEojOWUCFEFcQxXw+rE1eRSRCffh+O5GzHKSUzwF4zmpDgZaSeYdZ8IQ0j12IHqAFlJB5oKsW0Met72sAnIXrAaPkkp1wtJq1HCFZuOI9GY9GSFj0GNB+rEDNLPipN4kQEoAuCtBHoVkthRCnEdUFfVibdkoIcckapvPtAN6szbOKSJDqllRCUvismgdOC2jDjSFkwXCXYdJ+pwIlpJO0ygUfZ7SfAXAqnvSIEOIygLerDHcp5YPxcJoAcDuAVSnl3Y7VrSFysavlHhVCnBBCnEM0hOfdiEZG4ihIxMuHH9/B713ewd/6S0fwl19/yPjNVQeULnhCwuIqRN+jC56QztMqARrX8nywwHyZ2e5SyosAbnNMp7WTlOL9n90BALz749tpAco6oIQ0DrPgCZlPuuiCJ6QVuC2gM2gIIXOMayx4DsVJSPehACWkIiNmwRPSOKNYYQqRJB8ZZZh4yxHSSShACanIAeuAEtI4ygWvi0664AnpPhSghFTEVQeUZZgICYt6zzMFqJi44ZkFT0g3oQAlpCJuF/z020HIPCMdAhRIrKCUn4R0EwpQQjyMc4LLDliGiZDGURbOnqVAJwKUtxwhnYQClBAPedZM91CczbSFkEVl5IgBBShACek6FKCEeHBZOHWGTEIipHEmLnjraaUEKZ0OhHQTClBCPNhiUlqmFrcFlE9DQkLiyoIHaAElpOtQgBLiwRaYtiB1iU1aQAkJi7rNhCVAe/EEvvMR0k0oQAnxYI90ZAvSA1cZJj4MCQmKCnUZ9H1JSLzpCOkiFKCEeLDHerdjPpVAHfSTaXTBExIW5VXoW08rJUepPwnpJhSghHgY5VhA1fdDS4llxlUblBBSHXUfDjxlmPjOR0g3oQAlxINtAbWz4pUFdHmgCVA+DAkJis8C2mMSEiGdhgKUEA92DKht3VQPxpUlfRqfhoSEZCJA++Z0ZsET0m0oQAnxkIoBtQSpsoiu6C54ZsETEhQVe933jYQ07QYRQoJAAUqIh7TgtH+P/q9oLvgxBSghQVEvdYOUC16VYaIEJaSLUIAS4sG2ZtpZ8Or3ZcMCyochISFRL4JeCyhvOUI6CQUoIR58We8K5YI/RBc8IY2Rl4TEdz5CugkFKCEe0oXok+9SyklS0vIgmYcueELCMnHBMwmJkLmCApQQD+kkpOTzaJwkPwz6YmKNsd30hJB6jOiCJ2QuoQAlxEOqEL0mLnVxOugn7kG64AkJC0dCImQ+oQAlxIMv6x0wxemgJyhACWkAKeXkZS8lQJkFT0inoQAlxIOd0a7HgOriNLKAxg9DuuAJCYZ+Ow36pgueIyER0m0oQAnxkMqCH+u/aRbQvkCPFlBCgqPfg2kLaPSf73yEdBMKUEI8pLPgtc+MASWkcXQvhJ2E1ONISIR0GgpQQjxkDcU5TMWAMh6NkNDoL3T2SEjMgiek21CAEuJhlCo87/6NFlBCmkG/n/qeOqCsvUtIN6EAJcRDauhNIwnJjAGdCFBLtBJCqkMXPCHzy8IJUCHEqhBiTQixOuu2kHaTNRRnOgY0ehqO6A8kJBjZSUjRPScbvue+fXWEj35+B3/67QNWuSAkIIP8WaaPEGINwHkp5X2e388CuB3AGoBVAGeklOs56zwJ4JI17UEp5UNhWk3mDdsCejD2x4AyC56Q8BgxoP3ZjIT06x/dxHc2oob8N3ct4R/+5PFmN0jIgtAqASqEOAXgAQAbAE4JIVallBvWPOcQidP1+PtZAFeEEHfniNATAM4AWAdwVUp5uZGdIHODbQHV3etDxoAS0jhDwwVv/tabUhmmqzeTm/oLTx1gNJapcABCSHla5YKXUl6UUp4B8L6M2U4DOKktoyyYDxbYxHq8DYpPkotdiF6P+xz5XPB00RESDCPZbwZDcY6lxP7QnLZ3wHuckBC0SoCWYM36vu6YRkgtsmJAU0lIzMglJDiZSUjx06vJd76DYXqaLUgJIdVolQu+CFLK2xyT1wBcLLD4yTi+FADuBXAuL3aULC4pF7wRA5pMH/TogiekCYwyTDOwgO4P0yvfpQWUkCB0ToDaCCHujz+ey5n1KoANKeXD8XJrAC4JIe6y40yt9d8J4E5r8j1V20u6QyoJyYgBtcsw0QVPSGiy64CqLPjmtu8SoPsUoIQEodMCNC6l9A4A9+VZMuO4z8va9/W4AzsNICsT/gyAt9VvLekaaRe8xwLaB7PgCWkA/Z6zXfCTLPgGK4HuH6Sn0QJKSBi6GgOqeAeAn5NSFnG/u1gH4Cz1pHEekbte/3tLxe2RDpE1Frxu6TQK0VOAEhKMIkNxNhl37bSAOqYRQsrTWQtoXH7pfVLKR+PvqZJN1vxXEMV8PqxNXkUkQr1IKZ8D8Jy1rsrtJt3BFpO6S/4gFQNKFzwhoRnOeCSkPYfY3HNYRQkh5emkBTSO+1xX4jPmdIFFH7e+rwG4EKxhZK7IsoCmY0Cjz8yCJyQcdrkznWkUondZO1mGiZAwdM4CGherfzOAC0IIJTpXEY2MpM9zDsBf16yij0KzdsbLrlsWUUImDG0LqB4Dqv22xEL0hDTCKGMozmkUoneVXKIAJSQMrRKgcWb6GQCn4kmPCCEuA3i7JiQfQSQ477cWf8D6voZo9KMNAJBSPiiEOBu7z28HsCqlvDv8XpB5oagFtK9lwUsA47FEjyOlEFKbrDqgM7OAMgaUkCC0SoDGmeyZIxp56oDa81wEkJqP476TMqRiQH1DcfaSLHi1XK+TwS2EtIvMMkxxJdBxgwqULnhCmoOPSUI8pMowGYXozTGqdffgiM8nQoIwzChEr17yGrWAOhKOmIRESBgoQAnxkO2Cj/4P+lFVBN09OKICJSQIRrkz2wUf/2cSEiHdhAKUEA9FkpCW4kHg+5YLnhBSn2FGEhKz4AnpNhSghDgYj2XqwTYcATKeqMSoeijqD0eWAiUkDPaADzpiCnVA9Sx4dY8zCYmQMFCAEuLgYJSeJpFYN3UXPGBm6LIYPSFhKFSGaUojIR0/HG2QFlBCwkABSogDn4icCND4d7rgCWmOUVYSkkhKn8mG/PBKgPZ7wOHlqAEUoISEgQKUEAd2BnwyXRq/q4einh9BAUpIGIrUAQWac8MrAbo8EDi0FE1jFjwhYaAAJcSBnYBkT1dCdDCxgNIFT0hossowGQK0oVtOlWFaHgDLS7ELnjGghPqRQbkAACAASURBVASBApQQB3rG+1I/PT0VA6rNQwsoIWHIcsFPRYAaFlDGgBISEgpQQhzoyQ8rS7p1M/qvYkAnFlDtYdhkUgQhi4RebUIIvwu+KafDniZAlwcUoISEhAKUEAe6G90QoLEwVRbQJWbBE9IY6oVv4HhS9aZiAY3+Ly9hYgHdHzY7/CchiwIFKCEO9MGMlgfJZ2X5TCwzzIInpCnUy1zfqgEKTN8Fv7ykT29me4QsEhSghDjQ3ehLg+RJpyyfE8tMbAHtUYASEhx1L9nxnwDQQ3JfNmWR3D9IBKjuCdmnG56Q2lCAEuJAd6MvD9Lu9QOVBd9jFjwhTZElQKdtAV3R+oFdClBCakMBSoiDsccF7x8JKT0PIaQedqiLTtNJSFLKJAZ0AFpACQkMBSghDkwBarrgpZQTkcmRkAhpDjvURafpJKTROOkHViwXPC2ghNSHApQQB0YMqJYAMRxLszg2s+AJaQyV9JdnAW3ijtPHgV9eElhhEhIhQaEAJcSBntRguOBH5jCdyjJzaDl5Gu7sU4ASEoKsMkxNx4DqInN5AMaAEhIYClBCHOhudMMFP5bmKEmxZeb4oWSezR0+nAgJgaq7605C0rPgw2/bsIAyC56Q4FCAEuJAemJAR2PTAqpc8McPJ7fS5g6DQAkJQVYdUDMGNLwg1EWmLUBpASWkPhSghDgYGXVAk8/DURKXBiRDca4sJe54WkAJCUPRMkxNWED3DBe8ZQEd8h4npC4UoIQ4GGfUATViQOM7SAiB44eiLzd3aQElJASTcmeOJKSms+D1Md+Xl4AV7UV09yD89ghZNChACXGQVYZJjwEdaK7B44ejz7SAEhKGiQt+BklI23vJSo+uMAaUkNBQgBLiwOeCty2gS1p9QhUHyhhQQsIwzHLBa5+bEaDJfXx0pWcI0D0KUEJqQwFKiAOvBXRsxoD2HRbQm7uykaQIQhYNZQEdOJKQmo4B3dItoIcEBn0xEcJ7jAElpDYUoIQ4MOuAajGgI+msAwoAx2IBOhqzFighIcgqw9TTFGgTL3xbu6YLHkiG46QFlJD6UIAS4mBs1AFNPg/HVgyolgmhkpAA4AbjQAmpTdEs+CYcDsoCKgAcjgeaUMXo95iEREhtKEAJcTDyDMXpGwkJSFzwAHCTcaCE1GI8lpMhNl1DceqTmrjbtuJqFodXBHq9pNwaQAsoISFoTIAKIf4nIcTfa2r9hDSJvxC9NGJAl4wYUL0YPR9QpH1IKfHi9ZERYtJWhpqq7PfTv0/LAqrc74DmgmcMKCG1GeTPko8Q4hYAbwXwMoDLUsrHpJS/I4S4VQjx96SU7yy5vjUA56WU93l+Pw1gFcAGgLvjedcLrLfScmTxGBl1QJPpQ3skJO0V7pg+HCdrgZIW8sHP7eB3H9/Fj92zjJ9947FZNycTPY768FJOElIDt5uKAT3iEqC0gBJSmyACFMA7AVwFcC+AfyKEuBXAowDeh0joFUIIcQrAA4gE4ikhxKqUcsOa534A90kpH4i/rwK4JIS41543xHJkMdGzagd9AQFAIor/9NcBpQWUtJvffXwXAPCpJ/fxs2+ccWNy0MNYjh1OO+uMQvQNbF/VAT2qvVgmMaC8vwmpSygX/AUp5d+XUv4NKeUJAG8A8BSAvw/gc0VXIqW8KKU8g0i4+ngrgPPaMhsALgN4U87qqy5HFhDdotLvJZbO0dh0DS4xBpR0hC643XU2tSz044dcFtCGs+DjOqBHV5LH5DItoIQEI5QFdFX/IqW8jEjcBSW2Wp5EZG3VuYrIcvpwyOXI4qIZOdETUQyacr8bLnhNgB5eFhj0ovloASVtY2OrW9fkTe0eOnY42wUfWn8eDCX247HgdQvoIZWENIxEry6CCSHlCGUBfXRKCUdr8X/bZb6h/RZyObKg6BaVXk9Myi1FIyG5k5CEEBMLyT6TFEjLeOH6KH+mFqHHUR87lH5U6dIvdCH6LWsYToWKAZUSOOjW4SSkdYSygJ4E8JAQ4gyAiwDeJ6X8QqB165yY8m8QQtwJ4E5r8j1Zy5DuM7Jc8KrcUlYSkv69iZFZCKnDCxvtV0wHI4lrN8d45S09wwJ63GEB7TVoAd3Sh+HUxO+KVhFj70AaFTIIIeUIJUDfgMiVfRLAfQDOxIlIlxFlmpfKgm8ZZwC8bdaNINNFjwHtCVWHUMYjIbktoGpee3lC2sDz19t/Uf7i+29g/fkR/u4bj+ZbQLVJwS2gWvypKwseiATo8cNht0vIIhFKgF4BcKuU8hcA/AIwKaX01wG8NtA2gCSGc9Wavop0fGeI5YAocemD1rR7ALw3ZznSYfQHWq+XjAE9tJKQBlZ9wmh4QIlRxxI+yPyju+B1t3JbGI4k1p+P2vjvHtvCG167DCAqg7biKMOkS9LQt9t2jgseYCISIXUJIkCllO8QQtwlhHijlPKxeNo6gNA1Nn3rO5GzrarLQUr5HIDn9GkMPJ9/xpoC7YlEaI5GwPWtSIH2e+kHYy9+KlJ/krbx/Eby5tTGy9O2Yt6MLaAu6ydgZ8GHbYsxDrxehmkpmWdvGHabhCwawUZCklI+pcRnU2ilk+zEoVUAF0IvRxYXIwu+lwwFOBxLvHAjstK84pZeaohA9XXUfm8nWSDGUuLFG4kFdNzCIGW7SU+/ELX3mKMEE2BlwQeW1EYMqKMME0ALKCF16eJY8G8H8Gb1JS6xtAatlJIQ4pQQ4lL8W+HlCFEYdUB1C+gYeDGOpbvjlvT4gD0mIZEWsrUrjeS5NlrobVGsRkJylWACmh0JyciCN8owUYASEopQMaBBiONGzwA4FU96RAhxGcDb1WhFUspHhRAnhBDnEMWe3o1ohCO7xNIaIhd72eUIMQSkEIkF9Mb2GDdj99wdq67RWaL52mhhIouLXTKojVenTxT7XPBNjoS0ownQI8vJhpYHFKCEhKJVAjSOG32wwHyZVksp5UUAt5VdjhCFGgu+J6JYs0H8DLyhlYa541aHBVRlwfPZRFqEXrkBaGeVBt894yrBBDRbiF63FuuJhoYFlLV+CalFF13whDSOeqApl3o/rTVxx63p22dSB7SFD3iyuBxYArSN0skXN13EAhr6hW8Yr7DfM5OdlvUkpIOw2yRk0aAAJcSBehiqh9ygl7bCuCygghZQ0kKGVsZ2G1+QfPdMoSSkhiygA+sJyRhQQsJBAUqIg7FUFpDogWPX++z3gNuP+y2gzIInbcJlAZUty0Tyteewp2ap0AbjHAfeFxWC07cGmmAMKCHhoAAlxMHYsoDa5ZZuP54uwRTNr8aK5sOJtAfXuOVtu0R9VtlXOF70gCQ8BpiRBZQxoITUolVJSIS0hbEdA2o9iF5xS/ZDkRZQ0ibsJCQgusbbZIHQXfD//Q8ewks3xlhZErjrVe7HVKMu+LgxA8sCOuhH25WSFlBC6kIBSogD2wJqP4h8iRF91gElLeTAMWpP6yygWnsOLwv8L6eOZc6v35Gh92UUW0DtF08hBJb70ShIrmNKCClOm16AyZxxdXOEj395F5s73TMHjuwYUOtOOZqTGNHGJA+yuNgxoED7XpLM4W/zhzsWjWbBR//t2G8A6MV9QtuOHyFdgxZQ0hhv/39vYGNL4v/70338/E/fMuvmlEIJSPWQs8swHfUkRvRVIfq2mZfIQjPsQgyoNfhDHr1Gs+DNF1Ad1TbGeRNSD1pASWNsbEUd9JXvdM9XpR6G/UkMqPkg0seH1uFQnKSNuC2g7bpI9XumV+DJpNfnDH2/jTIsoKx0QUgYKEAJcZCKAbXulCMeC6ianw8n0ia6lgXvMDymMIfiDLszygLqqv/L0c6a57Nf38NjX9pt3UsSCQtd8IQ4UDGgKt7LrgfoiwFVlhv2m6RNHDhKBrVNQBkW0JIxoMGTkGIx7BoBLWqbZJx3Q3zzpSHecWELQDQM6xteuzLjFpGmoAWUEAd5FlBfDKh6cI7a9nQnC42rDFPbXpJ0a1cxF3zyuSkB6rSATsJsWnYA54QvrO9PPn/8y3szbAlpGlpACXFg1wG1Y8GO5oxPTf1J2oTLBd+2a7SsC77RLHjlgndaQJvZ5qLzhaf28Udf2ZvUYAXcx5/MDxSghDhQD0PleU8nIWW74OmeI23ClYTUNgOe6YLPn7/RLHh1/zveM3mPN8OvfuRmalqRUAzSXeiCJ8TB2I4BLZmENJYs00Lag6toettcyLKkAG3UBT+xgDIJaZbc6GANaVIcClBCHIxyRkJyPZgA01Lasuc7WWCGDrXUtuvTjAHNV6A9bSyk0GI60wKqav1SgTbOtZsUoPMMBShphK5b/1IxoAXvlF6DcWmEVMVtAZ1+O7IY1YgBDdndSCm1OqBZSUjhtkncbO5IZ/gImQ8oQEkjdL0OZioGtGAwvJ692/VjQOaHLsSAGi74klnwIcWgft+6Xjzpgp8uG7SCzi0UoKQRut45p2NAiwXDN5kYQUhVXENxtu0erVWIPuC+DLV2MAlpehxack+/SgE6t1CAkkboeuecigHV7pSsh6Meu8ZaoKQtdMECWnYs+KZc8CPtWNkDUABaDGjbDmDH8R3Oa1sdf5gQLxSgpBG6Lr6kFQOqP+xWlvxPxz5jQEkLGXYgC15vTxGPgyFAA7ZjmOOC51jwzeDrL5mINL9QgJJG6HrnbFtA97UH+KEMASq0O4oClLSFTlhASych6Vnw4dqhjxrlSkJSm23b8es6+jn823/5yOQzBej8QgFKGqHr4ktZY5QlZvcg2aEVT6wSYFlA2W+SltCJkZBKuuDNGNBwOzPKiQFV93jXX7Lbhuovf+yeZfy1HziEw8vRgaYLfn6hACWN0HUXvD0W/NqrkkHD3vgXDnmX02NA2+biJItLN8aCTz6XTUIK+bKnJ2y5yzAxBjQ0UspJGIU6vsrT5CohRuYDDsVJGqHr1gG7Duidt/Vx5m8cw8bWGH/l9Sve5Zp6KBJSB5cLvm3viKUL0eslz4JmwWsu+IwyTNSf4XC9fKhx4F2DKJD5gAKUNELXxZdtAQWAH3ztcu5yTT0UCamDy4rUtsEi9D7DM9CYgeGCD9jfjDQLqKv+b49JSMEx4n/j4ztJ9nKEj5D5gC540ghddsGPNXdQ0fqfClpASRvpggteb48o8GTS781RwJ0xLaAcC34auC2g0QdaQOcXClDSCF22/pXNxtXpCcaAkvahkpCaGj0oBGWH4tS9DU3FgDotoBwLPjimAFWDf0TfXYMokPmAApQ0Qpetf0ZnWPIO6Tf0UCSkKqOxnFzTK1rQVdvej4wY0AJp8LpIDekOH+VZQDkWfHB0MW9bQLvsTSPZUICSRrA7jS5ZA+tYQNtsYSKLiV6CaXnQTO3MEEiHGzaLXkP3mpkF798uXzDD4XrpH9ACOvd0OglJCLFqT5NSbhRc7gSAq0XmJ+WxLRLjMdBzdOZtRBfPRbJxdXQLKJMUSBvQ4z+XlwSwE31v2zthWc+DEAI9ES0X8gU3rw4oLaDhccWAqvAH9qPzSyctoEKI80IICeCa/SeEOJmx3EltuSvx/Gen0eZFw+6c2/awy0Jve5FsXB3dddi2LGOymOgZ8KYFtF3XZxXPw0QMhowB1V3wjg6gPxkLnvd4KFznfik+9q4SYmQ+6LIF9AEAuvVyDcC9UsrLGcucAHAGwDoi62fWvKQGdumMLlkLjBFZSr6i9WgBJS1Df4C3OQZ0VNIFD0QviEMEjgHVXfCO+98Yg14WG7WJZOOqAdtnuau5p6sC9IqU8lF9ghDivJTyTIFl16WUFxtqF4mxrStdEqCjkvUIdZqKSyOzY2NrjJUlMRkasGvoArTdMaDlQ1+i+WRQa65uAXWVYTOy72VH3YgtwzUM66QMEy2gc0sn7x0p5UP6dyHEaQDnZ9Qc4iAdA9qdTqTKgzCZP/nMJIXu8+zVIR589wb+yXs2sHvQnWtYZ+hJQmqbBbSSC76BcdlHOUlI+ksprXNhGDvibmkBnX+6agGdECcU3SulfLjgIieFEGvx53sBnJNSrmes/04Ad1qT7ynf0sUiJUBb9rDLomw9Qh3WAZ0v3vPxbYwlcHNX4rNf38OPv/7QrJtUmoOhnoSUTG/bC1KV8mdqvpC32lA7Lq4yTHpYDm/xMGQVoh+No760SGku0i06L0ABvBXFrZ9XAWwosRoL0UtCiLsysuHPAHhb/WYuFrbFs0sdtettvCh9yz1Huo1h9ezo+fSVYWrb7rhESB5NWMl0l6+rEH1fE0JRxQwKo7q4asAOrHj6rlRRIcXppAve4nTRZCIp5WXdUqpZPk9nLHYekaVU/3tLxbYuDHbYTpfEmGmJ4VCci4xhDS9rDm8JQ18MaMtuSrMYecEY0AZGJRoZFlDXNpPPLTuEnUVqx1ydel38czz4+aTTFlAhxP2IMtrrsA7gPgAPuX6UUj4H4DlruzU3Of90OQbUNSpHUewEBdJtdMtMWWt4W/AWop9BW7JwJaLkMbGABi1En12GqUcXfHCM0neTQvTJsR/S0jyXdLRLnXAfIrd6IYQQV+KEJZ1VmOWcSABswdklMVZnKE4jBrRLO02cGIkxHe0tjTJMWgxo28RTlftO3W5h64Amn52F6JmEFBxX3L2eAMbRkOaTjnapE9ZQXjw+7ljHhTDNIYp5SUIqXYZJj1vq0D4TN6OchJQuMPQVom+ZeBpXuO+UQAzZv4xyLaBMNAyNaf1WdUDtWFsyb3RdgP6g7wchxCkhxCVruM5HobnsY2voeokMelKQLgtQ/aFSNtyCMaDzhXktzLAhNdATqQ5ptUzbdkvKCi74JmJAy1hA5/0e39odT2W0J7P0XfSfFtD5p9MxoIjE5Ocyfl9DNPrRBgBIKR8UQpyNRcXtAFallHc33soFJDUUZ4c6alc8UlGYoDBf6C9SXTV2be8lDT+20l4L6Cg+wEIUf/FrIgZUT3jJGgsemN97/Mb2GO/9oy1cXj/Aj92zjJ9947FGt+csw5SKASXzRqcFqJTy3ozfLgK4zTHdmWxEwpKOAe1OB1In7k93GzEGtPvoArSrbsDtvWQnjh5KLmjZMhuouu/KRDo0ORZ8v+cWwvP+kimlxC99cBPPXo2U+BefPmh8myNHn8ss+Pmn6y540lKGHXbB1ytEn3zu0j4TN/pLRNsshkXZii2gPQFjONG27Y861KUEaAMjISl3r6sEU7TN+X7JHI0xEZ9ANAhD08hcC2jjTZgZuwcSn3xiF9+5tngqu9MWUNJe7Idbl/pps/RO9aE4mSHbfQwLaIeuYR3lgj+yIgyXctt2R912ZbwOKiEopIdFWbr7nkyoeR9swhZ7S1MoAO8sRG/EgM7hgY553x9v44+/ugcAeMc/ODHj1kwXWkBJI9gPhLZZW7LQ21o28UTXqx2KOiAedIHRVWuXLkBFixNoVJ9RZshFpRGDuuBzLKBtPoYhGFlibxov0mOH10k//vOchKTEJ4CpJHy1CQpQ0gh2zE6Xnt21kpBYOmSuMGNAZ9eOOugCtM0vSLViQIOOBR+tzFWCSd9m6O22BVcFk6aFkasGrG6BXpS+tKt9TFUoQElpbmyPsT/M7hBsj0mX3uxcb+NFYQzo/NLVh8NEgC4LI6mmbYmB4woueBUiE1KgqJdn38tneiz4+cIVb9n0tb/IFlCdRdlPBQUoKcVTzw9x9t0b+Kf/4XpmXE6XR0IaOeKRimJYRzoqWIibLl3DOioL/shKb+4soE2OhDTwxD6KOX/JtF3wwBQEqJGEpGJAF68M08Ecx7q6oAAlpXjnxZsYjYGXN8f46rf85Tk6XYi+RhkmWkDnly7GgA5HEnvxSEipGNCW7U6SBV8iBrQJF/xIlWHKT0Jqm4gPgUtsNm3pHTsK0evHeVHKMB0syH4qKEBJKfSi1lmkBGiHrIF1YkD7HKZvbumiC35nP7kGj1oCtG2X5yQJqUwWvLKAhixEn2MBnfex4F1ic7oW0Oi/kQU/h8fZxTxn+7tgGSZSCmOc9Axfmd2HdUmMBYsBNUbRkfi9y7voCeC/+4uHSg/xSWZP2yyGRdjSXhgPtz0JqUId0CZiQJUIGHgaMu9jwc88BlQNxanXAV0QYbZoLngKUFIKvaPPslTYD4Qu9dNGDGidOqDaPn/uz/bx/s/sAADuuLWPe+9ertVG0jx24lwXE050j4VtAW3b7igRUubdrNdADKgSW/0CFtAueXaKMhsXfPJZHV9jJKQ5PM4uhsNZt2C60AVPSjE2LKD++eYlBtRTicWLYWHS1vOVZ5J42SeeaX5oO1IfOyO1i2JDH4YzSkJKLtC2VaaoNBJSAzGgExe81wKafG6iX7t0ZR8f+Ow29g5mc35c1sbmXfCOQvQ1LKCjsexkzDYtoIRkoHdEWc+J1EhIHXp46/2WqFMH1JNN37LnPvFgPwy6+GzQXfDtT0LKTv5x0cxQnMlY8FnbBML3a9e3x/i3v38TQDRE45t/7GjYDRTAaQFtODnGFfbUrxgDurkzxj/7j9ex1Bf4p2++FYeWuhPuxCQkQjLQn1lZDzDbZdO2h10WdSygfc8D3syO79DBWGD2LXdYl16iFDuWC77VMaAVXPBNJP0pseMXoPo2g2xywks3kovs4hf3MuZsDncSUrMXizEWfHzcl/RC9CXe/t7/mR1sbEm8eGOMT3x5N1QTp8KixLoqKEBJZbKsDp1OQqoRA+obpo/lmbqHbQHtokvPTkJqswW02ljwyedQLwiTseALueDDHsTlFvgk3TGg09vmxAKqF6Ivsf1rN5OZd2cUxlAVFqInpCBZfW+XY0BdnWFRfPFhYs5rB84jdkJAF40TdhJSmy2g6r4rlQXfQEmkca4FND3vPOFytzddBskZA2pYQIuvSy9a74vjbSuLFgNKAUoqk+WWSWXBd6ijdo1LXJSeEJPYWN1ipq+mS2J8kdm3Y0A7dA0rdAF6eLndFtBqSUjh3eG5WfANJiG14RpzjTo0TRe8mJRhym6TD6NUoOccthVaQAkpSFafkEpCatnDLos6MaBA8oAyErY4RGfnOBh23wWvsuAPLwv0esIQbG3LgpeTQvTlk5CAMOdHSjnpq7wueGMs+NqbNGhDqa9ZuOCdZZgqjgWvx1HSAtpuKEBJZbKElH0ftaBfLUydGFDAPTqLkQWPDh2MBcbOSG2DdaosKgbu8HJ0/elXc9vuyTplmPTl62AOtOHZphHGEPYgtuEac4k9JYyHI4kPX9rBp74aNkHKddx7vSRkpIwFVA8XKOvBmjWLZgFtQcgz6SrlsuBb9rTLoMhDKIteD8DIFOi+5CTSXlIW0O5cwhNU7FzyUE9+a9stWW0kpORzCPFW5N43tjmHLvisoTg/+/VkQI1Xrfbw2juXgmzTiJfXOstBP6pGUUaY6fGiXcsqpwWUkIJkuby6XAe0ThJStEy0kGFJ1X7vopBZRObBAqqsQWpc7VZbQCskIRklkRw79LVnD/DHX90rLER08eV3wSefQ/drbRBMWS74S1f2J9Mure+nZ6yINJKQkulVhlrVraVdsCjq+9uF9oaEFlBSmWwLqPm9bdaWLMYFHkJZKAuJfnz049GlY7HIzEMMaFJUPbqO25wFP64SA5phjby+PcYvfmATALC7L3Hqvz6Uu75CLngjjrZwUwuRqh4yloWPx3Ak8Y0Xh7jj1j6OH65uW8qqA/qKW5L1vnwjnPr2laxTL07lYkD1zy27yB30esA4brPd58w7FKCkMlkWoU6XYdLaWsUFr4wyeqeqd+pdOhaLTKoOaAfP28i2gLY5C76SBTS9vOLpF5I6Wh++tBNOgBqln5qNAd09kDiykn9APvXkHh79k23c3JV45S09/Iu33GpYh+u0QZ+mC9uXN9MzSikNF3pRfJVH+o6Ezjx00dkFi2JfAOpK7UJ7Q0IXPKlM1tu/HfPZtoddFnoMUZUg9jwLaJfiYRcZeySkLrrg7aLqQisT1rYs+EkMaIl7rp9RXaJfIUGpkAu+0TJM5gp39vM38NVvHeA3/3ALN3ejeV+8McZugeV8uJOQov/6S9lLlgD99Nf28I/ftYE//FL50Yf8FlARt6laGaaDDjx4dAs3Y0AJ8WA/sEYZD7B0DGh3bizfEJpFmcSA6rFIugDtoJBZROyHXpeuYYUSE3pNxZ7jBakNVMqCN4bFlN7filoqy1pAQ9/L9kuOPpSqi70DiXdcuJkyBtR5t8hywR9oL2Xbe9K4R37jY1vY3JH4rU9ul96mr/KIum7LFMIPYQGVUuLhP7iJ/+u9G/jORrNmyarlpuYBClBSmHR8Uol5W/awyyKxGqGSO2lSB9SwgHbLLUQcSUgduoYVrqLqiQV06s3JRLWnzD2XlZEuKsS76t6PQgK04RjQ7RxL5jdfGmJzx5+1HqIN+jTbQvfC9TAK3PfSP0lCKnHzmTGg1drz9AsjfO7P9vHC9THe8/GtaispiL7vtIAS4sG+mcuVYWqgQQ1RZUhAHbWcNARo8nnROpk2MJbSGCO6CPupJKSQLZoO6j7UC3K31QKq2lq5Dqh1fqpYKou54P1W17rYVvc8F/zmdvL7a16ZvGXUObfOkZA8STLPXQvzNu0ToJMkpILnbziSxrxVk5D0vuL5681aDHTPiv3SO+9QgJLCpJIyMjoFuw9rm7Uli7yxoPNQHejI0xEuWifTBn7tIzdx9t0b+OQTxQto29d7G0apKcvQqgMKtNcCmoxAVHwZMyEof915tM4FnydAd5MFbjmSNLjOteq2gMYueKvv+k4oAeopHp/EgBZbz96Bud9V+1rd8nx4uVmZpJ+qLmTth4QClBQmXZjbf7PYnViXHt4TS0xFE6iynOjHx7CALlipjTbwxacPAADvLuFOG85BEpKyZg36ugVUXZ8zaZKXxAVffJksa6SZ+FdsfcMCArRKclNRyiYh6e731aNJw+q0a5SVhGT1XVs5MapF8Y0ap2JAiz4/di0BWlXQqSFsAeBogSoEdRL66ILvKEKIVSHEmhBiZAOJOAAAIABJREFUddZtWQTKFObusgu+iiVGx12GKfm8aJ3MrKn6cNifhzJMLgvoJESkXTtUpQxTP8MaWcU9XsQF3+SoZmWTkDZ3kgVuPaIX5a/TBn9MafoZEEqAusMv+iXrgNrZ/1VjQLe14344R4B+88Uh/s/f3MA7LtystK2x4SmrtIrO0kkBKoQ4KYSQAK4BuALgmhDibMFlTwshzsb/zwkh1hpt7BxRpi6i3QHKDlmPRjVd8O4yTExCmhVlMmh1DiwLaNdiQKWU2khImgVUvSC1SH+OpYRqTtVC9Pb+VLFY6+soUog+dAxoaRd8bAFdHgCHl0MJUNc05YJvJi7a9/KhYpenbgHVjvuR5ezr8d98eBPXtyU++/V9XC0ZZw4stgW0q4XoTwA4A2AdwFUp5eUiCwkh7gdwn5Tygfj7KoBLQoh7pZQbjbV2TijzQLb7izY97PJIkiGqueB7ORZQO7mFNIst+IsWy+56DKhPTCUW0Om2JwtfHcg8dCulfX6qCFAzC97dEN3qGn4s+LIu+Ggnjx3qmceixsnNqgPqC0upW6LMVwO27EhIu9booFVf9nXL88pS9gV5XUsEK+tVsF9g7GfsvNNJC2jMupTyYlHxGfNWAOfVl1h0XgbwptCNm0fSFlD3zSal7HQZptpJSI4YUDsJqW3uz3mmbGaxIvXC1bFTpj98jTqgLbSA6rdDmUL0We7wKtY50wWfv83Qnp2qFtDjh0WwAvmuagS+Mkwqxni/plfHZwFVotqVme/CtoBWLUSvx7Y2eZvY1yiTkOaU2Np5EsBV66erAB6Yfou6R6oMk6fzdd3zXRr9R/UBIbPg7bHgu5jQ0lXsuLUb28WuxT3LUt21c2aIKc1s10oLqJGEUny5rISgKlbAYmPB+7dZFzsBKC8G9GacBX/8cC8zHrYMKmxDt/ypa8n23viSk8r295MYUOvkl7eAhokBvalVFyjj+Si7PXvVVcOFukpXXfAAcFKL37wXwDkp5XrG/Gpe29W+of2WQghxJ4A7rcn3lGnovFA0BtTV+bXJ2pJH3Sx4V51Fu2MajpLOlTSLbVW4vj3Gq2/LP/hdrwPqs4BGg3HKVr0U+rKg88gqieTK5s7DFKCeOqBCHcEmxoIvbq0fS2lZQHXBWL8NywNgZ99cny8R1RagozHQK9G/+UbBSmJAi4XOhIoBvalVFyhz35c97vbls2gVUroqQK8C2JBSPgwAsRC9JIS4KyOW80TG+rJ+OwPgbdWaOV8UjQF13YRdSkIKVQfUjAG1XEMjiUOoJnBdFI1rXERs8X9ju9jFuH9Qz6oza3zWPPWC1Kbd0WMIK8eAymIvyFmYVmP/fL1edHybHglJt8TZ7OzJyfaPH+5ZIzRVb5gS7ksDJbO1GFBPXLRLmC6VEKC+Elz6ORiN81/aw1lAk/WUEZVlX0js2NlFS1DtpAteSnlZic/4u7J8nm5gc+cRWVj1v7c0sJ3WUzQG1HUTdssCGv2vOhJSXh1QIOyb7ie+sov/7Tc28PEv7wZb5zyRtoAWO/b7Ha8DOsxxwbfpnqzqgs8aCalKYkwRFzzgfskMgX2N3XAMs+n6LRUDGiALftBLjoFPaI59FtCSlkdf5RHdcl/k/kvFgFawgB6MpGF5LiPma1tAGQPaWdYB3Jfxu4r9tGuGriIdFzpBSvlcLHgnfwCerNfUbpLKCva54J0xoA00qCHqlmHKqwMKhB0N6T2f2Mb2nsR7/2g73ErniHQMaEELaCquLVSLpsMoJwmpVRbQiklIWSMhVcqCL1AHVN9u6GvCTrbZ3pNeUaLXAE3FgAZIQur3hCZAo/8uVzuQTkIqL8RU4pN5zPVzUMSdnnbBl2sHAGztuvexCOUtoOZ3WkA7gBDiihDCtnauIh3fqeOLDz2R8RvRsF3wPre664btkvtStTXrAZRFXh1QYPHedGdJygK6U+yJYg/r17UyTLqYGbTdAlqxDFMvQ3RVE6DJ50wLqMPLEQJXmzc9L0x6nOLxQ3YMaPV2qUSYfj/pA0djCSmltxB9Ogmp3DaLuuDzsF3wVfrZTat/yNquXc2krgV0LLvXz9ShkwI05nHr+xqAC76ZtZJLdsLRatZyJCEV/+O5T5wu+A65Lycu+LoxoIYANecJVe/NFkkkTToGNP+YjZ0P24CNmgLeGNBWWkC1GNASClR/SbTFYLWRkPR1++drzgWfbrPPDX/DsoCGGqNe9wDpFtCs+qB1a+bmlWECimWIuyygZUve3bQsoFnHsm6YjitMZJGsoF0VoI9Cs1rG1tB1PS5UCHFKCHHJGqbz7QDerM2zikiQPgySSzr+x31jdz0LfpKEVDEGVLmRzNGPmrGAXtvqmCqaAbZbs4gL3n6wAN16iQLMB5n+IFfJam3ySuinqNxY8No6clzwRfa3sAve4eUIgUvAXPdZQDWhFLIOqOqrBroLfuTusxILqD293Da9heiNGND8ndp2lK0q2xbbApp13dhVCkoLb8fsi+Qd62QWvJTywXg4TQC4HcCqlPJux6xriFzsG/FyjwohTgghziEawvNuRCMjcRSkAhQtw+TMgu/QPaXHQFXBlWXclAV0gwI0F9ui4Hug69gZ8EB0vXep2sDIcMEn09toATUK0VccCz4vBnQ4ikoLZTFzC6jD+uV7YXrhejSzEMCtR3r4zkaycDgLaJQJPxqnPQL6vPu2BbRsPcyJBdSOAS23TpcALVvyzvaQZAlY2+Vf1wUPLJYFtJMCFACklA/l/H4RwG2O6bR2VsQehs1bhsnxZGuTtSWPUC54vTOy3Ueh3nI3Kow9vGjYx9pOMnBhF6FXjGV1y/i08dYBbWEMaFHhZ2OOy27+ZntoDoYSy4Psk1e0HUqYhbeAOlzwnpCR71yLTvArb+lhaSAM8VZnKE7VhkHfTEJyDSHsH6KzrCVQJSGZ0/XY5SLrdNVNLVvybv15c2eyRGXKAlpReOssUi3QrrrgyQyoYwHtkvtS7VfVLPhJEtJYrU+mrE10wU8P26Kgilpn4XrYAt26jn3u5DZaQI0Y0MqF6LOtUUViCIu64BMR30wS0i2Hk227kuaklPh2LEC/60Rk3gtdhikVA+rw2ngtoIFc8HofXOT8+SygRZFS4k+/fWC2LUP42jGneSJ59yBav5pv0S2gFKCkMKkYUF8dUMcN1CZrSx51XfBqOYmo83J1xnTBTw87/lYi/3rc155BK0vJ5y6FZxnWPM0F6SoTNmv0ihpVY0BTLnj7pa+AZWlkxM1mbLfhOqBHVgRWYv+kywJ67eYYe/E1emc8qldWSaoqbUhc8Ihd8FkxoMUSVH34RkIyyzDlrGMsnRbQMqMhPb8xTtUJzlrc3l6eSP6VD2/iF96/iQ9fimo2u56hixQDSgFKCuOrAWfDQvTmulyCvOoQcTa6ABUon/G5CGRl7/rQLaCHlzU3b4cuZNMF77CATrk9WVStA5o1FnyVGov6bZntgk/PH4Kh9vJ7y5FoI64YUGX9BBIBqre3Tjeg+ia7DqhbgEb/00lIFbPgMyygeevUxaDedZexKH7Nsn7qbcvbJpDfr3zt29GB+tDndrzrDlkjuu1QgJLC2B2Qr5PrehLSJAu+4ljt+nLDsbvjDNXJXNNiQItY9hYROwseyH9Q6OWtdAHapVJMZh3QZPokC75FF0vlkZCE/+WgSu3d4i742MvRkAW030ciQB0u+OeuJdO+a2IBDRUDGrfBcsG7k5Ci7dR3wasYUPOYD3LqgH7r5SF++UM38MkndrGticFbjiTrOShxnX/t2WHcDuDP3d6Pt5vhgm8gCz6UcaILUICSwhSti+iOAa13Uz39whDfeDGQ3zoDKZPEgn7FbOeB4TaSTrdMUzGgixQ/VBS3BTQvBjT5fEi3gHbo2eBLqBEttIDqbS0TA2pYyEJYQAsnIcXbaCgGtN8Dbo1FlMsF/9zVZGdefVu4GFApk5ChKAlJc8GXSUIqm4xTwAXvumd/59M7eOKZId798W1c3Ux2Wol3oFjSoeKlG1HDX7Xax5EVte/++ctaQG1ClWFq08tkGShASWHsN7NpjQX/rZeH+JeP3sC/eOQGnrvWrMIyHoQV7w77rd01LrKrzmRZxmPpKBnSzY6oSbJchz70LPjDS920gOrXnSsJKU+kfOkb+7j4xd2pxKTpoSNl7jtdq6bqgFZI/Ctbhin0odHjz285HDVgZ1+mkuKUC/724z2sxNdnVkmq4ttPPqcsoFqfpfo4fxJSRRd8Kgs++ex6gfjyNxOX+eX1/clndewA4Jc+uIl3PXazUDt249UdWRbaS0bG/CUEqCs8KkQh+k89uYd/9M5r+PClnXILtgAKUFIYO87HW4YpcCH6P/jC7uTzY/95N2PO+ujtrJ4Fb761u47HMECpjRs76TIwXRJI08LVoee5uYwY0JWOxoBq18LAkYSUtSdXN0f4Nx++ifd9ahsXv9jsPQdUd8H3M6x+KRd8gZc+tUxPILPea1OJXLoF9LhmxbOLo6u40NuPJ/PoJamqGmYzBah2zxxaMsM46g7FWSQL3tW3fe8dyYX92a9rAvSIee4+9eQ+tnbzT5YKvVleSizx5WJA/Ttut1/3tmXNl8e7HtvC3hB4/2coQMkcY8fSlSrD1JHndmgL6HDkzowMYVVyZ3zWXu3c4RKbuUlIB+mHbZHl2oS+364kpKwH6zdeTC6kNgtQsw6o1T+lyjAVsIDGu5338lnEOlYFffsrWpVu30hDen1XsyJAtYYZgxf0Ehf8cCSNkZdUWEoyFKe7fUXxF6LXh+JM75Nu6dTbp09XPPls/huIevFcWUpGlso6lmXqgNrHZG/oiQHtysMyABSgpDC2uPE9wFw3UKhg/aZvTd3CFSQGdCwbS0Jy1apcpM6rKFWy4Pe0Z5VpAQ3UqCmQV4Ypy0pWdWjMqujHtfJISDnegGIW0Hi9OU/GXkOJXHoWfFb848RV30+/WADVhXHKAhpfNzd2JH77j7cnv6mXsokL3uqLyvZDvkL0eSMh+bZjW0AB4CvPpDPcbVRdz5WBWQHAO38pC6j52/bu2NmflImf7XrVEwpQUhj7BipXB7QbN0rVEVl09If9aOTuwPYcQz2WxbWOssH/i0BW/UIfugXUiAHtyHUM+K9lJZ5kxuucOTRm8wrUKERfQoFmjwVviaISWfB5NYCbHgteF3/6dIV6qdItoHnu6iLoL2v9vr8PnLjgZSSCUoM9VE1CsseCzxkJybefLgvoE88cZAq20TjZj5WlYjGgO6lC9P557d+296TzuVhGvO/ma+pWQwFKCuMaUcZFl+uABnHBW6N3uCxwLvd5WWgBLUbtOqAryQkNaQGVUuJqg0OpGi547UFeJH6xalJQVapaQM2RkKx11khCyreAurdRl8kwmFoNTr1d9nxmcln9ag12GSqfED9klSaz+6KyAlhdbva7Tp6o9gldPQte8fLmGE884zeD6y/0K0vJ0KblyjB5Z039trUna1tAr3d8IBIKUFKYdBB1/nyqP6nTUeudUtMGKP2NtO5ISEAkAlwdWBAB6nj77VKM4rSoEgOqsuCFMGPxQh7f3/zDLTz47g189PPNJA8YSUiGBTT6n3UFVo3JBKpZ96sWohdCTPoH2zrtsxpmkQjQghbQBpOQsuIf1bnV483NhKyqMaDm+nxCfMWKi04PUlJu+z7hb7zMFyyn1u9hUkLJ5vwf3MR3PJVU9MokK0so5IK3BwnIMgDYbd3acychFRlyVHHdMUhBl6AAJYWxH+RF6oAuxQ/vrsTOBXfBj93HyTVmcVn2XBZQuuBTVMqCj8X9ysAUAvoLyp89d4Bf/cgmnigQW+biU09GWbu/8+lmBKivqHoRC2jVGNDf/uQW/tE7r+FTX90rvhDqCd6+Z3/qFKLPE8GTGNCm6oD2s61/rmSpEHVAzcEL/BZQc3AG6Rimudx2fYXo8+qAusTakRVhCHMA+IHvicbT3dmX+MRX3El1u5YFtJ/zkrE/lLixU9MF76qQUiJB1RbAXYsJpQAlhbFvdn8WfNr1V8sCWn3R0pgFsautwy5E7+o4gwhQVwwoXfApKo2EFIv75YHwjjd+7j9t4gtPHeCXP7QZopnBGVnxfIoiFlDDi1HiPvjYl/YwlsC7/nCr+EIwPRtlQ0598Zj2w71I4l9pF3zAF+vxWE6OQ992wY+s+ZDMZ7cJqF6ftKgF9NCSuUxjLnhrVDkb13b6PTPkBAD+9o8fwdHYKvrCdXfj9m0XfM+Mc7V5eTO9nnICdFy7DFNq3PqOGHoUFKCkMIWTkHQLaNyBhHoza1pejT1WozKkCtE7XKGNxYDSApoiawhBH65yLEB3YpkB84FtjoSUn8Gtu1SL3gZ17vFhjfsuGa3HnG7vXtuTkGzxN/BY/3z1XbNKUhVug3avDDIE6LLlgk/nB5Tbvq8QvWkBTS/nOqfXt+XkuaNYPdrD7bdEO+MSjoBlAR0Io8KCa3de3kx3LFn7bd9vW54kpDLHLh0CUHjRVkABSgpjB0cXKUS/NKhvAZ0men9WvRC9tj6rcz52ODoeO/uydgkX12hKtICmqVMHdHkgjHJcXQklAZL97vdM1+bEAppxqegvN1kF2c1lyrdRoQ/laIuHPJKQAssaZPVXjVhAGxSgeht0YTH0jHBlCKaK12nRJCRbHKcsoKGy4A0rcLH7WMq0BXTQF3hFXLT/pc2R82VJ3wf7xdO1nZduOCygJeqA+l3w/nXYbFgC1HWM2gwFKCmElOkxzX2dr95BqoeJa94vPLWPX/vIJp55qcSTq+H7S+9Aqhei97vg9fIgda2gLhd8VuclpcRvf3ILv/7RzSAW2K5QLQs++r+85C7wXbeM1jReFHxiShQQT7pYK2qQrHNN6UM5qpfWovjK5dhJSUVGHysqQJUwC1kH1FcE3v7N5VEBwsSA2rVjfcfBfsm242vLXN/6iEB27eXcLPh4we8+Yb61DBztvv14NM/eQWR9tNnTQrlXlvKPZ30XvC8JqYwFlC54sgA4RzcqYwF1zPurH7mJzz91gH+VE0Onr6/pMkMhsuDtMkx6+5UFFAC26wrQkmWYvvqtIT72pT1cXj/ABz677Z1v3nBaQHMsBXoMqJFdHC9WN/h/GqESPndyEQtoFRd8HQGqb2+5X+6+88Vj1okBHeTsdBERXxZfEXj7N98AAyFiQI06oBku+JQAtUdqKrH9rPhf42U+I5b79uM9vCJ2sf/NHz6csoCqeRQvO6yXdhmmvAQoJUCX+knWfalC9B4BWqoMU8dd8IP8WQjxCNBCMaBJtuifPLmHj39lFz/93x7BXXckl96NHQkppdfVp3eKTT+4QyQhGR3XSGKs7dfxQ5oFtGYi0r4zCck///MbycH7+nM1/KUdQwmPnkgEQ1EX/MpAmA/2eF129utwXM51XCbTtSqTYuVWu4qIJ90iWTQpqJ4ATT4vlXwqRfebzC3DVCYLvp9zLtUxDdkf2TG7A4/1z1/dICpJJWWdMkz5Lvgf+r5lY/rBMC2kyljiskpw5VlA9Wv8//ip4/jGiyP8wGuWjOV++PuWAWAiUIFIPL7mDnNdeyVjQF+KY0BvP96bJJWWqwM6dp6nMiLSfhHumgueApQUwvXALJIFrx7K+0Pg3z0WZca+5xNb+F9/8rixzPVtidWjHgGqrS/EGOpZhCjDNLAyN3siafPxI+EsoM4Y0IIPRNeRPhjJyQtDm3jsS7t48cYIf/OHjhj1B4uirt2VJTERSWWy4I0XiljkbO6YK9g/KHfsQgzFmofPnVzMApp8LixArReq37u0g919iZ/64cO53oSDGi54X03O9EhI+esq6oJf0qp7jMaysrfE3LZf/BlJSHqikCWU+wIYyuqWWbt2rH4c7ryth3/4k8fxylt7+MRXkjJbuzWrcWSV4MobilO38t9+vD9xswPAz//0cfzpt4f4K//lCgDTAvqSI4For2QMqLKinjjew97BGIAsJ0B3PS74gs+48Vhiczf9ItwlKEBJIdzxN/nzqo5aLzv0/MY4FT/zjReHWD267FzfNC2gY0OAVnXBmzGg+np0C2jdUkzOGNCMjj9ra088E9W0/AuvWcaZnziWud0/+MIOHr+yj5/58aP4nlc224V866Uh/sMno3CBpZ7AT//IkdLrSIbXA3ai0puZD0gp5UTc+2LBbtgCdAgcLdEmu3D3eCxLDUFZBL8LPvouAa/nQReERaMLbCHynz4T1Tc9cbyHv/pfHcpc9qBGEpIvIajaSEjuY2ajt3E4qv6yamw7YxhM/besigG9HoBxOQuk0QZr3fqlcWSlh1etRjuuv2vZowFF6ym+TWMUrFS8chQCMxpnu+BtIQ4Ad796CXe/OqkXpYtTV/xmGRe8XgP0Fcf7k9JOQVzwBY/d89fHqXuza0mojAElhXC9WRUZCcnnynr5pqkkn3nJryz1N8LmLaBa7FuwQvSaBfRwOBd82UL0WULilz+0if0h8PiV/ZQ4Mtch8cif7OCp50f4xQ80X//yWW3Uks9d2a+0DnX9HLJKx/jYGybHatl2wSsBup1+IJVrk/m9CYtongse8F8TuiAs+kD0vVB9+Zv5hfprWUDVSEgpC6j5vQkLKBCuT0pbQNPtsj/byTZ165PaoRB6WIU+upAuzlwJPWXiGPVQLrsQfbSteJ3WPkkptfOVf80cXhaTWqBuAZp81gvRA+njqQ+he+J4r9CoSUWz4IuKyPXn0y6wstUHZg0FKCmEuwSG+0ZRD/xBzx9H+c0XR9Z3f0xiSAvo/lDiy9/cd7qNANNqEqIM03BkdjzHAyYhKdFjPqiKrTPLrZr1QNX3ZRqZ9PopqFpmUr082cMH+riixce+arXvTkJKWUDLNc4+xk28WCmLkZ1QY4yf7tmsvj9FXYI7++6DWsSFr7Yn4M5gzsKXkW7fC1/+5kHmy1W0jFpn9jYHmki2E3CqYgtLbxa8Z4ABAFrx9GrXk37el/rCeKk4sqwL0GSZm7vpbZUxxOWNgpXUefXH+Ba9ZlQtUFcJJTMGNDupS7f6Hl1JrKXZQ3Ga38fSfd8Xfcatfyd94TWdpBsaClBSCJcF1B8DGv236w/q/JmVBPPNDAvoQUAL6Hs+sYV//bs38f9cvOn8PUwMqPng0DsUQ4Du1QvYUcNF6sPihQhRyFrHtGOMjOLaFbY91qwkugU0q6PWh9Z8/Z9fMq5hJXI2a1pAbYtnnRqaPibDNVaygGqCp+Bxd7ligWIjmanjsTQoXndUUXQkJAD4l4/eyBRnVVzw4SygyWc7C35oWED9LnhfSaqi6Nfl8sC0ah855BOgrnJEJWJAcxI/fQlfVfrqW2MPlB3DDSQCdKkf9Tt5LniFXikj2wKaPiauF6Ki99sVhwBlGSYyl7gsoP4yTHEn3hdeN/azV83e5OXNsbe2YkgL6Ke/Frlxv/CU2y1ouODLjgkYky7D1KwLXneNZQnEopasrPmmkb2to5+BPKuOM6NUu14MC2jGdfTEt6Jr48SxHl692jNDKrwW0MymOdplWUBLCtgi5CUhAX6hclDhnvNZxIvcRmr/qyTB+Vzwrn179uoI1276b5J2ueDNahoKO1FIx3csimJYQAfCeLm9/ViyMb1tN3eqiyggOws+2pZ7nUZB/oLXjaqw4OonVX+q+glfHdDdfZkKVZi0sUQhesDdbxTpY3f3Jb4dP0MHVjxyl2ASEimEzwLqSmIwLaDFt3F9e4w7bk0HjerWqqYF0LjCW7WN3hlGD47k+5GVJKjeFTtVBiXYj67439R1dFGRdVqyRWzR1oWhiLUOAH7n09t47Eu7+Dt/7Sh++PtWJtP168V0wbtXdn17jG+9HO3k6/7cIEqC0AXbJAa0uy74IsfUcMEXtGbVEqCaBbQsPoGivt979xKWB2Ly8rmfEZJa2AWvP/QbcMFnlWHSr2m73mX00uyOLSzCgWXZ+x/ecBiff2ofh5eFkUimv5Q5Y0BLWUDzYkDjMlsZLviifbV6cXC98Kn+VPUT+jr/+SM38Jdet4Jbjwh8+PFdrL06uVD1ShnZSUjpafp9NuhH/WsRL9NTLwwnSaX/xZ0DPPGtYe722wgFKCmE0en1kptEyvQDRu/EyxgRN7Y8AlQTPaHirXyEGIrTtoBC6MdO4MiKwOaOrB1DqTqvw7oAzRCIRqdbMQa0CUtdFnp/6utbpZT46Od3AQDvvLBlCdBkvkPLugB1r0sPDXn9n48yaHsOV9ymZfVx1WTNIpWE1MB17UtCMkIKpPmCNGmP1r6i1iz/9ZzfCdSxgCoRlhYoiTt97VWDRIB6ruGxlBNBnuuC12NAA708ZBWB9xaity2gExd8tTbZ1QiOHurhob+zip5nOFcA2HK64ItvMz8G1L3OKjGg6rwdjNLGkz1t+N2oLclvUgKffCIpPaW7v5f6YrL9si5425U/HMlCtTxfvJ5cLN/7Kl2A5i7aKuiCn1PGUhqZenXRL+xl3ZLkuFf0jl/vUI6uiFRH8T2vTJ6O9qgOiqHhfmpWAJlZ8NVc8Hb5FPuBodxadcowSSknlpwjy8kGs46PUVxcm24/rDJjQKdsAdXPvW/X7KLwOgeGBTSZ7uuo9bjcV9wSl5yxkpCGI5my+pR1wU/DAuqLZywbA1o8Cck9X5HbSO1/2Qx4IBHYtohXVsCeSEQFYN4HOsYgFLku+ORzqAoGKRd8P/3iA1hJSJ7C7VUtoPqxUcds0Bcpy6ThgnckIZXLgk8+u467esGwr8OsclQ+ljxxtUCSBX9oSa2z0CpNF3yJLHjA7DeWB/nrcC13TCvt1zUXPAXonPIrv3cTD757A598YjfI+vQLW7+J3WUkov/9niniThzv4bZj5iW39qrECH99y/1gqBKPVgR7+MThSBrldapaQFXtOiDqJO0HhorZrCNAD0ZJXc8jhS2gWhs1CWrHomYJjoMpu3j0h4RPLL1w3b/ThgW0gAveVeTbLsPkeuCWdsFbYqm9h856AAAgAElEQVTs8kWoFwOqC9D071JK/M6nt/HOCzcnFSV8SUhFUA/UsjVAo2WUVcvtou33LAHqccGXcekaMaCBzl3WOOxFRkICtBjQik060KsRZJwLXxLSRESVsMAGsYAWvG6yzttk8AlHDGgWy/0wLnjVtiIueL0En16dgFnwHUAIsSqEWBNCrM66LU0wHkt8+RtRL/ulb+TX4CuCfmPpnXnWWLa2BXT1aA+3HNED2YEf/f7EXbpRwAJap7NPCU4rruptv30dH/jsTtK+agZQAIlLKCrDFHfqIhLkqsOo44LXE7bykpDUfuudnf6AsIVwmyygI8MC6j5eqgi0C71DXlnKPk6AVY+yrx5EZia+68WhdB1Q68aZpgu+WAxo8nks0wleTz47xEc/v4vPfH0fH348umfqxYBWt4C6BOhYyskLWr8nJsII8J8r/VrLd8Enn8NZQJPPtgve6KsyhNekDFNFITJ5EcipRuArw5SMiV58m1Kb17VJvS/VKXO+JuvSzpu9PtWnHnLEgGaxNBCTmNi6LvioXfnnTl/ucIHQorbSWQEqhDgrhDgnhHhECHFBCLFWYJmTQggJ4BqAKwCuCSHONt7YKbO1l3S+LmtNFfROzxCgzrFslevPFEq3He0ZN+GPv34Fr7kjqbN4fcsnQM122EKyKOm4u2Q9X3t2mBIydUam6WtxabZ15/BKtMNbGWWYxmOJj1zeMeKOdPQOaGVJaJ20+RD+xQ/cwM//++t4eXNkiBz9sy2ostzB086C1x/uvtOux0PZD2QjC36Q31EfOCygdp1VV/msvbIueGv+abrgjezeAi74aF3m78++nByor307esn1CdAit6s6HstVLKAqs1k7d/boOnrYkFeAVrWANpQF3xPJSES+oTh9FtD150f49x/fwvMb5dTx5EUg5+1b367+oqNe8soIIf1l2CUki9QB9Q14YpN13uwY0H7BBIbCLnjHqdi3sunz1qHQ+w8zB6BbFtBOJiEJIc4BOC+lXI+/nwVwRQhxt5rm4QSAMwDWAVyVUl5uvrXTR0+QcNVoq4J+Yetv/1lDifV7UWKRYvVoD3fetoKnX9jGkZUow7InBG490sPVm2Nj3sn6x+nhyobjaq46+8GzPwSOrKj9SO9IneH1+tpbuxKaqgTTsbie3t5BJOjsTFYA+N1Lu/jQ5yLL0vd/9yCVnKW7EZcHUQcclXxKpn/pGwf42rNRT/Vbf7RtWBf0ztcuiN8qC6h28tUp+vI393F9S+JH7llGTwjjxeHYIfNYDo3rNrLIq/G7XQxdFlDLBe8SWvtDid19iSefPcA9371kJDzlbQeYsgVU++w6DFLKlFVvOAaWjO/p4+QToEVeWkJYQNWoY/2eMMWJHQMaQIAODFdu6SYX3n6/F3tRjKSwpP12TL3e7j96Yg9feeYA//f/XNzRp47Ncs55cAm+w8vFXNE2uS54j3VxWOJ8KYzY3fi8SSnx5LPDiRg8VNYFXzgLvnkLKMeCnw6nAXwOkZCElPKhWJQ+iEhgZrEupbzYcPtmii46G7eAZgjQQU/gmiYqbzvWw498/zJOHOvhu070J4Ls1qMCV2+6k5Bc7q2DoZw8dL750hAf/OwOfvT7V3DybvdY8go7UUS38rhedqsOxQmo0jdREXRVsueWI9FGjmoi6eauxOrR9MaV+ASiUTtsAbpndVyDnsCeVapEfxF58cbY2I4uJMu44JseCtXGsGrJKN7zX/9uNIiAEMCP3rNixIDabbdjOvs9YDxyWyMA95jky8aoN9Lrgv+Nj93E5586wF+8awn/4CePZ+6XfV2HPq5jmby4pZOQ9OxehwfDcWyGVjkxO2N7OJLeRKwiLuo6WfCGO3wIjHsyZU00XfDu9YxzLHG+bYbyCrhiOwdKgPqy4FMuePO7a8jJLA40F3wWrtMUCdB0G/PIc8H7Y0DLu+Bd1Qu+8szBpE8BgOWySUj9ghbQgjGgxZKQEi9jEc9OW+msCx6A7XJfd0xbSEwLqDQ61u29caUSHfoDZznngk8K0QMbWib+6tHoTfHk3ct49W1Jz7kax4VuOJKQXJ273pZ/9aFNfPHpA/z677tHNtKxLR95yU21YkDV6B1jietxYtOt8X4e17IWXRbqlzfzn9jGsHHauMVDj6Wk3zPFlX4s7FCA7EL05veqsWZFsbPgn3w2Mf3+wReiBLsXtWH1bNexHdOZ96Bw1Vhc1lxs2/vSOYTq/oHE5+PBDT7vGeTA1y4gfBJSkfHCAfcLpKstaWFvHiff0Lb2vD7q1AHVRes/f+Q6/vffuIanX0ga3LOTkFrqgncVmHcN8ZidhFSj00IJC6hD8B3SBGiZLHxX5r2OqmObyoLXXy6rWEDj5b9tDYpy5P9v782jJKnuO9/vjci99uquXqGX6mZvtu4GIUAIxCIE2JIQCElYtqQZodHYlj0zzyD7PY9n7BlrsGeskceec4Rm3jwjS7IG3pORkLAMEpu1Ad0CsYql2Roaeqmu7tqysjLzvj8ibsQvbtzYMrOysuD3OadPV2ZGZkbGcu/vfn+bGyKV1qgNKqDRIWKmy0T3ZKnPSEItogok/hTofohUuyxLBVRKOWJ4ehxAGmVzO4kX3QHg5ji3vRBiLYC12tMnptrRJYIaNVI6Wc59JYEHnqriq/fN4qytBdxwWX+mz2wEXG7+86abjbrgx9fk8LRbo2y1ocYnAAz1OTf8XE1ifkEmJovQAZ8a2yZ3tnLJAQYDlDyeN0xKabtrmFADcbXmK2bKAKUK6IxBoX7k+VpwPw2Diu66cX631Caq4P5EtTQNx4BG/SpT+SCguIjLWD0LnhZVbzQlZqrNwP7XtPp+uqKpilpHZYvS366ucyGcjjDTVedcmhXQjL8rpIBme38StLIBvZ+A5CQk077ox0s3luIS6pJ+W6Ppt0ttSQElw4oKx/jSnVPec6kN0JjyRnHf2TEXvOH7TQumOMMrar8PHm3gl6/VsX1LIeCyBbT7JeVCwPQ95bzwrossLvigEWaKAVWfGXy+JQXUkAU/T75/xYCFdx7veNLSeMCEMNdsNWXlG1txaiFCQDYXPF0cq+9eTixLA1RHCHGN++fNCZtOAJiUUt7ivm8cwC4hxGYp5WTEez4D4I86s6fdQS+SPVWVyNkSX71vFgDw8PM1XPPOBkYH0gdStqSAWgIffVcF//cPZnD8uhzGIgzQYZIZr3dDSlJAKdSdLaXEf/vuNJ7bt4DfuWoAW9fmwzGg5LNNbUDbyEHyDGFai1VVAOjXXPA6tBc5YJ7gqMFTzJtbwekG6ByxawMu+KpuXKRXQBcaMmTgdBLdVa73x6bqJ+AYVHQCCBjq+WQFVE0IegmxStExQOdqMmDcqZjStjshdVgBpa7X0YHgTEonVqMBaupPnaCAxhug8b9N7z+eFVPcKL2EQy74yDJMWVzwi6GAhtV3UxegQOxjqBOS+bP/4ttTOHC0iV++voBPXeyLD9UFiT//+6MQAH7vA4PeuS8kJiGFnysXhbc4y2IIBRfT4de9OqAxSUipyzAZzhsd+//w2kH0uR6qNON/wQ6W3VP7ZTZAw8+p3y7gL2rSxHGq9+U98UF9x/JSQJezCx6AU1IJwFcAXJqQgAQp5W5lfLqP1fY3xLzty3CUUvrv+rZ2ugM8+mIN//2uKbx6MGydTGt9qqfnmvinp4PZ1I9lLM+UqQwTUUBXDdn4/NWDuPqcSuRnKwUUCMeBRsejhaHtEV+faODxVxZQXQC+er9jeIdjQP2/TZNSJ5KQ6GJgyI0B7U9wwetGlWmCo4Omo4A6f+ulpRQ5WwQ+RyVsAFmTkHTDKXrbTqDXHaWnpN6Ijsc0/Z23/cE6qQ6orizR5gH0eClVO3MZphY6IU1Xm3jq1YVUkwxd+IxqtXeTkpBMhdrjykbl7PgaoEm/bcEQB5eFxIztRUhCWoxC9NSIV0lsOUMCTlwSUpRqp8YU1Q1K8Y+PVvHKgQZePtDAPb+oBgybOEzeoVKKBZ4JfZEY+i7D4lp/nHasNvVNp94vuphO85nqONlWshEYlwVvWf5nSJkc2rRAQiUC5bq4EH3X+QqAT7eRWLQHwKVRL0op97mGq/cPwDMtflfH+Ou7nISHm791NPTalKZoTVclfvCLYEH6x1LEqVGoYRPIgjcqoM7/aQcFmhxDy7sAZmMzasA/SgzvPW/6s56K8QlnwfuPTTFsad06JkyZ7SYX/LSmVjeb4Q5WSS54JwY07L6hRqoTA2p2tYeTkLIpoIuJPmhXyWXbaJrPG70+AkpxinIpUdnYtHmAKsNULgiU3Lw33euQRFysahRfunMKX/zOlNd2NA4aR7wipIDSJCTTvoWfC58H/40yQQFOcikGDNBWsuATVFPLcu5Hde5N4TZAts46ixEDSg1QteAxejbiOiEZYkDjjJkJcp0cmmp6906SEh2lgLaSBW/KBDd9lx5f2VonJJML3vd60HE7zWd63aJSuMHjjoklwt6dmWozcE1MzTW9+86PAQ2GJXEh+i7ill/6ppTydvdxbL0JIcQLQghd7RwGEOV+73nmDXakroAenm6GVLVnXlvIVAi9YYhVAczlixqeGzPdoDC+OoeiO+Dd/+R8cJDJpID6z9NevYAzSej9uunEZ+rl3V4WfPg5owteSwCanJWhAcxkEEQpoPS91EiwhIisAqAnIWWKAV3k3vD6gEprcNYb5tCJKAU0jQs+qnSRMkDnSExvuSC8CeioptwnKRj6dZ2koDal9BJr/v5nc7HbAsDEVFoF1GTAJz9HFc+FmAz4qM8Lvu7/3W4Skgl1zpVqqd9Pe96s4+8enMH9T/peIuWtiCKgpHXIC6COqdM61HnOZNCZXPUK05il16il4ytNWmo2pa+AJhxT09BeblEBpXNY0XD+PWUQQcU+i2KtMDUQUGOIHkqUZvz3agWT6yHaAI3+HEsEDcn9Rxq48dZJ3HTrJKarTe/x52+dxEy1GUgWS/PdvcqyNUDduM89yvh0iXOlKx7RHo8DuLtjO9YFkgqx63GFtBixMn4aTeDFN9OPnNGF6MPbZlVAK0UL57gdkfYeauB5YjyaJ0Pnf/04UAVUN0Bfn2iEJskamfiMSUjtuOANMUBqUqPlSvQkJFMGvMngng8pe+GJihoJQnRGAQ2XD4rctCPohhrd10ZTmhXQiGz/NPX6ogpxVwp+opw6Z5UiMUA1BbSWcFxMyVxx6O1Skzg07au0laKugPp/m+5fowKqbUePe70RvxBJcgu274KPf12dc3WudGP/aw/M4AePz3vu6cGywMnH5hGHEP6ir9MKaLkgvKQgk0EXZ3iZDENdaJjTxgVFU/rnqt0s+NZjQA1Z8BEGlqltbhIm5VoZwEXtu9NcioUsLvg4A9QSAdHith/PolZ3ztV9T8zj+z+vujWlZSBUQnfBx7Vi7kWWpQEqhLgEwHUARoUQN7j/bgSwgm4jhNilqaK3w60d6m5zAxwj9hYsI5IybnV34JukUPfx6/wlYJYacfTCLsQUopdSesaqyQ0dxUXb/JacP37Gj1MyBWQrA0lf2SsFdGquiTcmg2985UA9PgvemITUThZ8+L1KARVCeIqa7oI/dDT8g03GSU0rw2RqV0eNhFpdho6lOo7ZWnFmdx0rpJR48pUFY9xy2u+bmQ8aPqbztlCXeOrVBXz1vplAiZVAvb6I36jULH1Co91GVIgENUB1TIp6YB8zKsmm0k9xKAVUd78DyfGQacowUSNmoS5jFdyk31ZrVwFNMJaUwa3iC/V9feVA8Medf1Ix1dgV1YO+VdQxpU0MjAZojAve1L1NjzM/Qsrd0cUIvZdayoJvsRB9cgwocTEH4thbccH7f6uFlq+ABrdN0wkv7ynV/nOdcMFTb16jKQMLhf1HmgEXvCX8ltfLzQW/XLPgb4PjOr9Ge/5a7fE4nO5HkwAgpbzJbeEJOMbqsJRyyyLva8eJG+yllJjSBpw3iAJ6zIocdu9xlnyHp9Mvl+iFHZcFH8w+Tf3xWL8ih5E+C4dnmgEVMC4GVE98UG7QPQZl95UDDawcDO5QLWCApt/XNOgu+EpRBFbf/SULU3ONkAv+oGFRYJrAQ65lgwueGgmmZB3PBa9nwWeJAc3gfqQFn//8N4Yx3Jd8gcQpoE0Z4YJvSHzxO1Oh56OOE0UlPYUV0HDlgnJBRGbKJhklWcswZVZA3etId78Dwc4pZgXZYIBqExu99+rN+EVx0m+j35eUfW0iTRISEK2A2pZ/PQgBvOvkItKQt4E5dC4Rr0oUUG/fDElztNWx3q/dNOZOzQZ/7+GZJtaOOjcCfXuwLWQLWfDkfsimgPp/m+uA+n9PTDdxx0Nz2LYhH1vrNgpTFnw1wgWfZv5S12s6AzT6cywr6IKn92XOEoGQkMmZZihUImc7x3G5KaDL0gCNqAOqb3MPgNB2Uso/W5Sd6iL6pLvQ8DsDzdfDk9tBoqqtX2FDwImn0ZNd4qCfSQd83Q3eSlyOoq8kcHgmaBDFxYDqk6dywb96MPymlw/WMVAJdkqiE6PJkGkHXUHRY8pUKISugB48Gt530wSuQgaEcAZfU7HmaoIBWqs72890SQG94yE/dvGR52u45PRS4nt0w2dGW1yZDCjTb1XHKdEFH6GAVorhibFSFJEFt5O8FIupgFYX/HNqUkCp0mOKAzddb/rElkUBVa1Po1QqUy3ELCSrdcoF7zym56YpgzHXn76kDysH0/lznX2Vi+KCV3gNJgwueNP4ajrEuiBBWx7T4ZveS4WEQ6BKD9FjVyrEL/AWGhIv769j06pcYHwMxrOH30eVwf95zwz2Hmrgh4/P45p3lv1tUiqggRaq7jWtrt0kA/S4tTmMr8nh+yQJME0WvKpt3SSLHD2KzhLBMYcek5wdfDwx3fRDJfL0+8Nerl5nWbrg3+7o8Yp0wp2ai78CB8vCawl5OIMBqm4qgaAbI1wc2P87axb5QNk1yogBGhcDOh9SQJ3HKpM+Zzl91AFgcjo8SSYVom8HffAarASfUAaoMhTU71TKlToW9DWKH7cUjEejAxDNGNcTjdTnmrK34ybUdhTQPhKLqE+KUeiGj24smwr5m0JLCrlgvb6kTkghBdRkgBZEZA1UdW3V6hJ3P1YN1XYNJSElGDF6rdY4JmJqgAJ+r2sAqNZCLxuNSb0cVjAJKTmJKra9q6H9aRYSE2aUC96ggFJj9OLTijjruHTqp/O9zv+dLsNkMkDpfaCuUVOYgClxRr/Haak7atjQeSTNQkAf46gLXspwgtut987g5m9N4RsPzgaeV+eDLhCD3+M/t5dUSaG/yxRzbyIfSB5z3u+54LXfrIdgnbg+hws0dbxgcsGTc/WNB2fwuf9xGD96et6bQ0uGMcMSIvA7de8evU6poKR/f6MpcXS2ifueqGaa35cKNkCXIXrNSjo56YqaTn/J8txytE97Et6q29aSGKS+HY3LSf3xAHwDhcYstaKAvubG/a0ZsT1Db67WNBig/t+Lr4DqBqjzeHZe4kfPzONzXzmMv3twxjOeVg/ZXray0QWvuY2SkpBMIQb1RjBxiz4fRTh5Jv1xo0Z12rJFcS54IKjmKA4a4mj9ZAHncVIZJv38RSmgUeVq1LV21+45/O8fzeKL35kKqLehhLAEQ15XQOMSEQMlmBJc8PS6l9IpeJ6kgC40ZKjebFbFl1JrVwFNMD5iDVAaS53xu9U10qlKEOYY0PB9HaeAmsow6aIEHffpsaCVHJKSkOi+KSrFYEKM7h346bPOaueBp4I1qb2EmojFXFSCETWk02fBt+6CL+TDMd95gwue3hs/fbaGpgR++uy8d95MY4ZlBY1ovZRc1AKvQFzwgHOffvkfp/G1B2aNYUi9xrJ0wb/d0dU6R91yrkBqvKkuLZS+ksBIv4UX9zcwMd0MtGGLgxboDpbuCG7XjgteGYu1ujOo53MithOSboBOVx2Vc/8RZ4P1o7Y34FQXwkZmrSHRbErsO9yI7WXdCnpMkm6A0lqg/88PZwAAP3h83nOhrRy08MpB91gYCxi7g7ZuWJFtk8psLTRkINhdERfIHsqCzzD50sE/SamP2hddAZ2cCX+/KYxBz1aNinNV15bu1tXbFwJO9YZGhA9eGWR3PuK76w5NNb0uK7qrLMmQn9UU7Pk6UIpI1KYl11YY3MnUwFHXiJQS/+WOKbx6qIET14enhXrEwsbZ92QFNM7ArrergCYYS7kYF3zA/Zuxo5e6RjpR/HuhIb3PofHGOcOCKdYFb3hOFyWOEAOULkyp5ylNMpguVo72W5EdgUzlvhQ0ocZElCeNGqBpE171BgJSSk/Q0ZOQ9OObt8MLzrgseNoo48hs0xNYHEM3eDwsER3HWosJcQm74CWefd05oPsO935AKBugyxDdkKKqEHVJrh62QxdhpegYoM7nOBOQSd3RURNQzhaaAhrcF737Thb6iUI2XZUY6RfGwd1buYZUIeD5fXVvgF6/wg4ofLqxtVCX+MaDs7jvyeCKvBPoLqGoGFAdNc+vHLSQs4WTvW4swxQ0QP12db46lmRUL9TNoQfZYkBjvyJAII4pZQWGlhTQCBc8kEEBDak7BiWxKDC/kBzX6EE2zayAar+7WpNGVx4QnHjWDCe44N1z8vrhBn7pTlwqSZESt7CpN6T3e0zxbWqbKBZdAXU/0lNAyXUY6IKT8bs7mQVPx7KyQQGtBxRQGXiNkjUGNMrzkyYZjBpolaJT7itsiLmhRjEhJPpiWifKMKPjeVqxw7aEJ8yo+rXqU8J1QIOPCzmDAhqTBU8N+iOzEqW8H96ji0O0E5LOfD3aw5B2XOtV2AW/DNFLvFD3HFWINo4FR2YVo0MzY9MmIqkJyLaCg1zYBe//3aoLHvCVXNPgHqWAAsAze/3Jc/2ojTIZVPRi4bU68PMXDUFwHUA3YMIxoPEHZ2zQjiycDZAY0Lz6Pv+1hpuVnFAuFrW6DB0TwD/mUkrc+cgcvv3QrLfQaKcTEp1kDxxtJtazBZLLiihjiP7+OBd8zuDSDHxfhAKaNQbUWN5Iq51JSVRANaMvrvXlPjcEZbgvXAMUCE606nOSVLxAbLFRAXX+jlKxYpsbtJsFn7YMU85fpKlGAYEi6PGlP8Pf67ngs73PhKkNJ2A2LKKaJQARMaDawpt6DaJi39PFgPrbrHRjjenpo/t8RFso0ntfGcFRBmjUPBJQQDPkG9BxVe8oR9E/spAzqKIxCihtCDM779csdjouBT9HT0Ki1BaiFdC8JkAstyx4NkCXIXr9S6qOUBf8xrHgbKDcviPEAE0bqEwV0Lg4n0644AF/9WhUQOtmBRRwOjwp1q+wUSYTsN5n/vB0E0cMLuhOEFZANQO0HD9grhqyvMElrhWnFwOqJYal6XJVb8iAQjxYVu5p5/ETryzgjofm8J1HqvipW6S7nV7wVG2hHYXi9zHdZ9Pjafrt+RQxoDQjWlfvzS54YUzyAcxZ8HTBpJ/TJBe2XoYp7vwqBXTtiHlGy9nCm4TVPpnupVVD/m+j592kgCapWHEGdiAJaRE7IRWIgalqjybVoIz9XndfO6GABtpwksWOKavcG4tNCTumGFCDAqpCOqLq1Sa14qT7BvjVFqK68kwaFv/631EKtKnvPBBUGLPMNXRcrcbEAIdiQHMiFK6mqgWYiuXrLbGV2KO3/AScsLYoIzo2BlQb1/QFe5Z6rEsBG6DLkFgXPPl7g6aA9rkD22gLBiiNO9K7ZwS3o4NCtgGdxkXOeAZoNgX0RbddYTHv/E7qbtSNzVcyFETPiv7bdRd8X0LYw9iQHZtlq0/4gX7ADXOHIJ2Fhu/GylnAQNny3g/AiyUCgIefVwao9hkZYkD1fTIplTppB1C171F4rqqYMjHBUmPh9+sTUl9JeMqPjjlxjLyuHcckQzvkgl/w74/HX655SvZMtel1ZYoyQAFfZVOGp8mgXTfqvz+qwQEQjAGNNEDjCtW36YJP6oLjlWEik74yvObbSEJShm9Sr/s0BFzwZMwyZZVnjQHVE/6aEtj1gnM/R9U/TnMe6D6vcGssR5Uj0sdeer35SUjm70ljXGYxQL2KIVoji6RWnKbFkb6wBYgBqsW5q2NtWyK0v3oSEqVWl6HEY4Ua10yNSJzvZAOU6TD6aoiW2FGGW94OT0CeAkoKgKd1watB1rl5/BtV73ndngIadsEbFVCD+0xntN+GEMKoXCmSMnfbQY9byuKCL+YcNZKu1Cemm/i33ziCv/zuFOoNGXJb6cpDnItW4ZRhanr7pydV0GOnFBO9HE8W9UcfDPdONPB3/zSD+56oRrwjvQI6kKAo68kCTQn8578/itcmSNvXmJaQ+rU03CewbsQ21tkEzIqFcnc2mjIUHtFoxhvbphhQAPjurjn85Xen8ZffdTJeafxnrAHqTrZxCmjAACX7phurUvrPteaC9/9uJQkpZwcbAuj3vB4DCvjnZz7GBZv8vc7/nSjDFKWA6qE1AAmHMrngDT+BfrYak2+9bxY33ToZWQklTUtUqkCuHLADn0/3Fwi74KminxwDGr8vQqTrWqTIk+oFwRCMsCpJMe2fnwUfNryjKn3oReed74qeL+cXZGSohD/+u7G2erJihxusdBo2QJchaZKQ+koC/SURiGtSMZZDfX624oEUKhQA4poMDnK6/dFxF7xJqXInrDiVT31WnAG6mFBVxraC6i4Q74IfG3KMZxpj9uBTVew73MDjLy/g/ifnfbdVPjwA1pvJCUiAY4ArBXSgLEgiU3hyVtdY1g4+FH2f/ubeGfzgF/P42gOzkRmbadWlgYSYWt1VBQC/fL2Ou3b5xi+91kyqGp1wz9pahGU5LVVN19hCPbw4U/dt1DGLC0kIxYC6n6Wy7F8+4FS1eD2tAaoUUPdz5gzXy3pigNLYMpOxqvY9yoiIO4/tKqBA0HDVFwW+C54aoO7/gSLorSmgjWb4XGclEAMaUED9bdQ5aMS44Hpf9yAAACAASURBVE0KqCJnA2dt9ZtxxIkPaVzwlJWeAuo/R68ZPfyJXm+1FmNA076uQxf2QQU0/n2m/TPWAfWSkMzHNzoGNDqePK0LXh9DWAFlOk5cIXq1AuorWhBCYJC4JpURZFsCY+6AQdt0xhEowxQTA0onmvZc8EoB9T9PfZwarONUPmWAlpbIAKW/faAsQqvpSkEgas/Uucl7rqJguSSqGBbdAZBOGLUFmUoBrdf9GNDBikW+z/mflm/xCuZr115S7CJFX41TFTDSAE2Z1VkpCcRVE/NDFYLP0zCMOAVU5x3HOxO5EMKogtbq4Q5T88RtrqChGHpPcopehsl0fve8UQ8cR6pg6ngKaMy9lFYBBYjnJTIGNHJXvGtIIH1LRR36vXrCmN4JiX5nW0lI5PP031erSzz6Yi1VubEDRxt45Hk/GTIQA2oq7xNXBzRmzC3mRPo2oxmNcXUP0KQ32mZYr1ahFFApZWICW1KIRdZrhoY2xbngQ+/L7II3j422JcIGqCViyjDFxYA6/6vFiO7VYwOU6TihQvQRCigQVACpwqjUkTcON2JrtCm80h+auys2Cz6jO83J0nf+NiUhqUQeZWQr9WagHDbm+l3Du9KiAXrZGcltIuOgA4yegATAU89MqFaAtMwL/bw3JsMFo/UKAmmSkKp16RmZg2URaudJV/BTc9ItCRX8jLQucikT4lINL0kZ/r4oSnkR2z7QVyqCx/yNySYxDP3nTZPeO45zjM7hPoENK/0NjAZoQ4ZKz3gKKJkkjlvnz2q3/2QWf/W9KbxyIBwbEhUDSnn+jQU8s9d570BZxMbF6gao6XpZNWSOATU1L/AVUPP3xSYhkcoDaWoSm6DnS1eq9Cx4IMIF36ICCoQV3m/9bBZ/fdc0/up74WLgC3XpNQtYqEv86e1H8YuX/UG9HKWANoPfZeyEFPMTinmB49fl8dnL+6M3cklqxamzwnXBD9JmE2TRHBUDWm/4t35UEliSkJFV6Ai44Mn5jyprpjAroAYXvGH8DO6vKQkppgzTQnQZJj8L3vx6p+tbdxquA7oMqC5I1BakF0eYJglJKStUAaQq3JoRG3hxAbU6MDndxOhA/IijVt2hQvShXvD+4yylMQBn8ukrChydk54BqgYI23Lc1odnfONUHYdywemzSxWnfsPvT8MnLurD+Ooc1oy0tzajv91kgALO79FVMsCfxL0s23q0e1YN2gNaDdU0A8/h6aY3+A9WLMzOu5OiUkA1A+rAkUYoyzJtDGhSWShTr/MsNe2KeSdmNjFWSjsVUgKvTzSweXUu0RX84fMq2DBm44zNhYChZEpEWqiHJyBVvYIaKxvHcnj61QXM1502g3sPNdCUwOeuHPC2MXUamqtJSCkD/bh/8Au/nu328QLi0F3wJgU00LaQ7POTr4QDyzwjIsoFHxNvrbwwepx0FhyjwmwE2zEGaC2DAhb+Tv9vXQG95zHnXOx5s4HZ+aanDDabEv/x9qN4baKB33xfP1YN2aH7LKiA+s9XFyR2PVH1yiilTUJSKIV3+3gBp2/K47GXogMEsyqgSuigix61UJFShl3w7vUWqEIQ8Z1JYVRJCqmOX71A70Of3QBV14Cptm60AhpWbWPLMNVlTLUC87imYAWUaYvZ+Sb+z7+dxI23TmKv6y6McsE3mn5pG5XkQm9eapSsGfavdqqoKZpNGXAf0VV3nAu+nRhQAF6nGOWCP+B2tRntt/z+6dXgpFnKi8gYy6wxoKWCwNpRu2UlRmEnKKAA0G+o0QgAa13XZ44ooFGFnNWkqcfPpnHB0yz0wbLlx4B6K/jgZ+w/0my5F3zSQDhjUAuyGKAlQ5s8islVpnjVva+SFNDBioXLzigHlEHA3G89zgVPjZVCDti4KmgxPf5y0DAwqZNVt4xV1DHSe1brKAO0VnfGDfodKwctfPI9fRBChDrxvDHZwL7DcbGDUS548/mfX5DYe9A5IOOrW9dD6PeGFFBhcMG7h5iOpdnLMPnb0/ANvbbuqwf9E/7mkabXKvh/3D1tdNEHYkCJUvY/75nG1x/w+6gbDdAEBVSRXDUi+Vj86lllAMC5J/qLnUFS7ePobBNvTDbw+a8eCVW8mKs5j9MYgFGJfoqsCigd5+j3t6KAqmvAVMEl3gUfVumjfke15re+1aupmBRYStSCvFdgA7THuf/JeRydcyaa7z/qxP7pqyHlkqYqWcW9IU7Z4Ac20bJMNEFBj79rSon/9K2j+L2/mcTDzzkreVr6g947nSxED/hK3nTVUXhUUe11o3aoV7wyqEsFESprpAzwYh6RsZYmssaBRUEV0MGKeQ/0RKSBssCOLXmctcUZ0GmsUqQC6k6qfSQJZ6bajNxekM/de8g/76uHrUB5EiBYSBkA9h9ptNwLPkmR1WvmOfuRfvAs5UVsDclihAse8A2EgAKaoSC6aTKv1cPdX3wDNPg9mw2GFy3UbTqX1QUZOcFtHLOxYSzemKOT7fyCr5j3lwS+8GvDOPdEx4BV18RPn63h/iereIw0bjhzc/hmiU5CCj5+Y7KBhbrES/vr3hiydU3rBihdL+pKpvptZgXU3y5r4g29Rr798Jz3Pc/vC67KXiYhFVQJnK+Hk3OAoHuWKmV73mxEbqdIigFVJFWNSFOP9aqdJfzp9UP4jYv6vOdozsHUnMTDz9WMyU6+Akr3z/w9A2URWx0hcxJSIAaUfH/C2G/aB3XN0HAqtfDMloQUjgtV0LrfY9ri14sBjXpvj2fBswu+x3mNGAlqoNYL0c8vuCoZmaiUQXbByUXsPdiAJeAZNoBjcCje0AzQyekmXnQHu1vunsGJx+S9CcS2ABGrgPr7kHVlSvd7uioxOSNRdW+gNSM25smgtVD3Vb6ip375v0OtSIUQKBVEZEwkdWEC2TNho0iKAaX7qPi/rh0K1GhVq2spzXF3gD+pUAV0qioxG6GY9pcFpAwaQQNlgZOOyePRF52D3ZTOeUyngKYzEpMVUIMBmtUFH2M0FmJipZQBmqSARmGazBfqMjQBKaOHJv4N9Vmh6wBwYuaG+5znTQboXE0ar4m87StTcdDQlGrNV0B1j0HOFoB77v72/lnv+iwXBE7ZkMfPXwzOcIUccPy6XKCGLBC83u59vIqvPziLrWtz2HasP+tvacMApeEdhZzA9RdU8DVXLVSLbXpvHzjaxC3/OO3Vty3kwmV3kqDXyE+frSGfE/j1C/vwwhvB304V0EOkTawQ4fbAOnFjaHYXfDoFVA+zikIIETKI8jmnKoS6PqN+XdXkgo9QIFWin8lTB7RigPr31aMv+QuqpBCMOIM/ZzsVZ+YXnLGsKcPjJ93fLGWYKGODFp7f5z9OUkDve6KK0X4Lq4ctL063l2ADtMehk5W6QE2T+cEjTczW/Bu0n2S8f/zCvtD2laKF4T6ByRmJ+56cx+XbS94FqgeM3/HQnF/6wxaBbhuhGFAyibeigKrkobma9FyjALBuxMb+I/6H0zjHUj6cAU3rbJZjDNC1I3ZACeyUAUpXxKpEiY7ugteTkqhBZep5DviDdl/RScSScJRLU2wp4CgUzrHwX3/nCUXk7OAKfGpOhtTtNw0VE9KWYaIKaKUoQkbVdNVJBtrzZh1jgxZWDtqxCmghF1RPSoV41SZuoN57qI6mlC0roCesy3v3ksIUNqGOwUtv+ju+eVUO5aLA6uE5vEkm2INHGxh26/Wa3LTzmgL6W1f0Y+uaHAoJhriiRNSeL313Gq+7ngY9Zlo/XErNOvnYnNFlWcgJ/LOL+/D3D81h/aiN238yByC4UPn6g45h+Py+unddF3NO57JWoUe6kHMW3v0lC2NDlmdUU+P62w/PhfY7K3qc5INPzeMj51fw/BtBo/zlA2YDtJAzK6CUuDHUWIYptQs+esOkLm1JDJSVASohpf/7zj+piH962vGoZYkBBZwwlygDNKp8URT0vNHKE1ljgIHgwqevaGF+oYkDRxv4uwdnI2PebUvAtoMvWobEJBMqQVWhVNmoDPqXDzTwxe9M4b1nlHDNuZXEz+827ILvYWp1GTCO1GBlKsnw5pFGYMLri4gvpNA40H/7jSNe7JKurOx6oRZwwdNVth6D1q4LnmZRUhVl7YgdMCqn5pqeAVIqGGJAyWNd1aH1DdeP2oG4mk51Ltu6NodLTy/h4lOLOOVYs2+HDvS2FXZBxSU5KJQCaln+MZiZj44ZHayES7Gc57lb/f0xdch684jJAM2ugI4ZDPJHX1zAv/5fh/EX357Cn9x21Il7ijFudbd1MS8CnW7Wj+rKjPO/6ZqcrwMHNHU3iwKazwn8u+uG8McfHcIa17NQq4djaJW7V3XrGu4TGHG7df3xR4bwuSv97OSDxFB5gRis6hfqCuhwxUJfyUptOFNDUxmfQPheORrh5j/5mLzxu/I5gdEBG5+6uB/nneRfZ1HXr4oN3Lw615LHREFDFgo5AcsS2Lm1EGhHvHLQihyTWjE+TPLej56ZDxicgCMiqOt/Ysp/LW+LgAFazAHXnhtUr+MqiZgL0ce44MlvHIxRQN91cnsVQFQy2dHZpqfwrhm28BsX9XnXl8kFHxcCEafeZZ1nTPe2QHpDljZyoZ+lxt+XDzRw7xN+QqAuQNhWeIFriXTlpPSqLipXIanizFBfb5p6vblXDADgpf31gEGnbmY1mNEb4Se/nMet9814j01uPZ33nOoPNLU6sMed6PRV+XQ12COb3ij7jwS3bdcFT93VtK/72hE78JuoGtdfNMWA+o91VedYUkJn/Qobn728H7blDJIbxzrjprCEwIfPq+Aj7+qL7NJBf0+lGO4znCYTlbavU583TaoI6IPaQNnCVTvL+NyV/di6NodfOavs1Xukg6lJcaUKn0IlIc3ON/EPP58LGDOUqu/pilSEa95nSbx8oB7KuKdsWhU2QGXgdT1WSimg5s979WAjUx1Qnb6ShbUjtvc9ThKSVrtzQaLekF6ZJfobLEtgNVkQ0qSNZ19ztu8vCS9Rp1qTmCL3aVJMn045wuBKSsRQnHhM3jiR00UUndD/4edV3PHQbKieqeLUje0FX1O1KcqYzNki0N+e0ooCalIKv/7ArDdWbnavQSn9eGu6sJir+dnhw30C/+3TI7jsDM0AzeiCjzPG6LmJu14uO71NA9T97Km5YJ1hACEDNG0WelwiUtZqK6Z7O4vu8NnL+1HMOTHLxxDVPqq9sp5cZ1vh8+S04kwx3kcY6UlzbVQewlLDBmgPo8cS+Qqo85he/Lv3LARc52kM0DPHC7jpg365F+UeiotLylnASL/lGS3/9PS8N6E+9lINX72fZGm2YMvRUixKSRjtt1AqiIBRSTu+DFaskOJLS5lQVSdnB5XfY1bY2LImjz//jWH80XVDbakwWaGKrqkmaJq2hDSxQH3edLXpZZWP9AePi5ocTt1YwE0fHAzEC0a5/KMmbcBxyT72Ug1/c+8M/t+fzOGv75oKqFEHjjQwNdcMTDS6G8nE6xONQDiHLuyMaCv6Ul4EVFu9CLua3Ojn0Eng1YP1gEqX1a2n8Lqs1MMqdK0u8fpEw/sefWIa7bc8hfOgW/1hfkHixf3O/XXC+px3XVcXZECdTMpq1okqT6Y/T2PFFTnLUbFNCyRqROjX752PVHH/k/PQEQJ49yntGT10rRKnpEV1h2ol+fCkY/I4Y3MeO7bkQwlUo/0WPniO7/JUDQ8miAHaaAJvHPYNNFPljcwu+BZjQFW88Sff09d2845BEkal5hT1fWEFtH0DNOs800q7V8rm1Tn8l0+O4MYPDgTOmWnOvWhbMVSRwpgFL8KF6LePm5P8lHeHnv4k9TQqD2Gp4RjQHual/UED1FEi/dIR/WWBkT7L2M83jQseCA7IB133UFxckm07sv/V55TxV9+bBgD8yW1HsW7UDqlfLbngDSs1VZOTZnrTzP2BiggYK0DQFUUN0FVDthdrVsz5KlTWCbwT9GsKqI7JCFoxYAXjyPLUAPWVBxVvONJvBdqtxtVapIoWvaY2juWw/0jN8A4HdR0AjiK+73AT60ZtvHygjv9w21GUCwKXnOYPwiYXvM7eQ41AJvfKgeDv0OM9i3kRUJd0Q0MZJTT2dNNYDq8fbrjxxo3AsUmTBWxCfc/EdDgOV8W4et+vqbg523HJT0w3PQX0hTd8L8jx6/JeWMpczS+TVi6IzHUbo1RC3QX/8Xf34YePV9FfsvDAU47xuGrYKVNmUkDpfpgWc3c8NBd67iPnV1pzgROoAhqnXjvXRTg1OGsResAxBn7zfc4Cfu/BOv78jinv+rr4tGLg/L5ywGn4oWeEq8dDEeNP3BhqVEBjfoZprFD87q8MeGEc7TJA7iO1MFBhTnEGaNw1oBugY4P+eNBqK06KydgDgFOOzePJVxdwwrqwx0VHn3O3rM7hYxf0eU0HFKYs+BJpwuJ994Y8du/Rk/wEfvvKftz/5Dx2kKTiJPU06vpaatgA7WE+fWk/9h5q4Ct3T2P/kSakdJQpdVMX8wKrhiMM0BQKKACvl/VcTXqTnl7HjqImldM25nHC+hx+6boHTa7XVtREU2ySck0GFNCJYA3LuJaQ1K24asjCaZvy+NyV/Rjus5bE8FTQc2RaMJiMoDXDdsAADSqgfgyoYlhTCuNiv6iiMhkwQG08/Hxw20tPL2FiuoHdexZCwfZPvbqAdaM2vu0aG3M1GYyJSpGN+fpEIxDOsUIzQAu2CCQ1VIoisB/UnQ346got9zRQETjGsvHcvjoef2UBj5MC6/kWlXDfBR+O1Z5fkN79IkTYAAWc8ISJ6aZnTD/7ur9PJ6zLeaEn8wvwkpayut+B6Pq4uvp1wvo8Tlifx3S1iYefr2GuJnHdeY6yZzL0kkoZ0ZCiC7cVMVSxcOEp6dpDxkEVUBFzS6+NaE+atQaozjErc/iDDw3i1vtmUMoLvPuUkjM+D1nYf6SJVw7WcWQmum5rVIyePobSZDdTjce4+sV0HNQXt04t5c6MhYOG61GNO14DhDZjQLesyeHAUWdRnLZbmoJeK8eutHH9BZXIsmU3XNaHJ19dwMnHJEvkugt+yFWVdfXRVIh+pM9RwJVhfeG2ojnJL+8ci6vPCSYUJRnh7IJnMpOzBTatygViNekkXMwJrB4KD6gbx+zUMU20l7UybJQrf/Ww5blmFMp9IYTAv7y8H9dfUAnF23n735ICGn7TKtdlS2/wfQEXfDgGlEIz4IcqFiwhcOrGAo5dubTrr4FEF3y0Gqygg3a/YQIJueBjBqKoGFC9UDoAjA1Z+BfvHcC7TgobD9/80Sy+9dPZgJJOE3LGYlz6Sil5baIRmFhC2Z85gevOq+ADZ5fxb94/gLwt8JHzK95n6N2J/Jal/u9fN2oH4oEpuRYvDf2cbVmdwzlu3/jqAvDU3gXveZMRqOJjJ6abqDekV7S8mHeMJ1oEX70Wt6iIIlIBjXi+v2Th3103iD+8dhAnu0l1JgVUH3dUmNDWNbnAtVopCnzsXRVctbMcGSPdKnFHY12UC74D1S9WD9v4vQ8M4revHPCO7wZ3jHntUCNQxUMn6r7Ux1CaVHXEEJPdiImbjpsT2lWgKabrsd0Y0GHt+NDwFZqomwaaP7BhpROCFaWaV4oWztpaTGWc66KPWvzn7GD4mMkFr7b9V78ygE++pw8fPq8S2/pTJ26uzVnm+aUXYAV0GUAHpwNkECvkRSDWcbhP4LevHAh1aklixYCFvYcaJAbUdQtVnOLkkzP+MnUbKWxfKVq4cFsJ555YxO0/mcXEVDPQ3q2VOLpSPlxiR03K5aJTbklX3AbLFiwRPfBSQ6iXYmEqRYFS3jFMRvvD+2U0QDVlj04cpqQIPVYyzlih36di04QAjjWUx1Fq6fvPLnvKGOV7u6uR3zNUsZCzzHU+t48XcO8T85irycCErbvg8rajply5049hvXBbEWODFtavsENGjTJ+LtpWws+ercG2gCu2l/HI8zUA4bjErElI3vu0EfWD55Sxa48fvqBctNsikm7UvSulE86gvBJjgzYsYU6iaUUBHemz0FcMt4KNi/8bHbAx6oeMRyigwed+8339eGrvAt5xXBF37Z7Dd3c518Xakfa7jVECY0LMx64eto1jSKcaUOhsGLPxyAuO8qt3uKJEjUu6Arphpe2NsZMGT1Vc9zBdTKB0wgBXmIzpQc0FX6u7nYhSxoBalsA5xxfws2dr+PWL+gILx6gSe1GMr87hoeece/KMzfEta7NQ0bxY1Ps0VLEwXXXGM9sGctp5Gul3fvvYkO3VVjUtCqLOU9xcGxVf3AuwAboMoIPTgSNUAQ2+dsamgrfizoJSi2bnJWbnm57BNli2AhPq5lXOalGnkBP42LucWqMv76/jv945hc2rcqG2YWkQQmCgHIxzVDGDltsrnqpplnBWnnED7zErHDcrgEjFaynI2QKfurgfT726gItPCydhmFzwemwjHXhMCqg+scUZK6YY0M2rbPSVrFDtTqWED1YsfP7qQex506npaIrxowjhGIP9ZWHMqh9fnfPc9bRGn65omuK4bEvgtE3mCUVtXyoI/NF1g96AvHNrAQ8/X8OTrwaNg1YTFYqBGEjHVfiEoXf6qRvMFo/eoUwtOJXhaVpcmhYvSeRzAp+/ehD7Djfw3//Bj+HN0rrWrIAGH68ctHHByc6Gl59Zxo+fqeHwTBMnHdPZqYfWI44rRVTICawdCcerd6r+rw5VLB95ITqOOtIA1Y7x1rV5AFX3s8MnQB8HBZyF+4Xbip5ybSJrP/U4TF6sQS0JCXAMR3Ue8nY4LlXnUxf34SPnV9BXsgJK7+mbsq0ezj+piNcONTDUJzK/Nw5dAaXndKgi8NqE87dthROOdKEAMIckRF2ncR7AVubhbsEG6DKA3tD7jwYL527fUsC9T1RRqwO/enZyBxQT1L2591DDUx+HKgInH5vHT37pKEa/Zihor7NxVQ5/8clhAPHxSHEMVQQOTZn3r78UNEAHygKWEBiswIu3+sRFwf28amcZrxxoYOWg1dEBpxOcOV7AmeMRRpNhVRunbpsG8FC7z9gkpPD7VQ3T0X4Ls/OkhiEZCNeN2lg3auPobBMPPTcf2yvcaRogMFi2MDkTdp3Ryg4PPu0rk/qkltVApAM3vS6LeYHf/ZUB3LV7Dv/fT33judUseBp/uGks53ZI0ScmEbkQWksU7udeX/C6nql7YMWABUsE49hMrTzTsGbExhptQZMlAzqNAqp/9h9cM4jn99VxWofvwyt2lL0+6Uk95a+/oIIHn5rHvsMNr9JGXAx5O9DzTBfVOlEueD2276Rjcrj4tCL2H2niyh3h8Z4aZhvGbPzOlQMoF83NCT75nj78rx/O4PRN+Y4qZCsHLAyURaBRgjKCaEjQKwcaXqWXTatyifecEH6tY9sS+K0r+vHzPTXjcYijmBf49YuS57Ks6EZgQAElf5uSkPRQKcCsdhYibpvxmC5icYmnSw0boMsAupLa9YKvpgyWLRRyAr//oaG2Pp+6N18kWbqDFQunbSrgt67ox1DFSq2utjuYOTeMMzEMVYITuBOLE87qtoTAH3xoEG8eaXr19+g2n//QYFv7tBSYVIm4LiVGAzSmu1Ka7zvFVepUmEbctoMVC3/80WH81femAqEYFOXq3Lm1gFcOzuGkY3J4eq9/za1fYWPLmlyoBJn+fWkUK7pYScpq1wvXt6oI7SVtF1VrSd0APX5d9IQ/NmR57WF/QVy2yguQswVWDlqB+rtJBlcW2ldA498/3Gdh59bOuT0VF5xcRM5yjo1pMqccvy6P49flcduPZz0D1NTutBMMlC2MupUNFGvdrm5KrbREOLRGoZdaEkLgI+dHG096I5A44+PcEx1VtNMJKpYlcMbmAh58yl9AqoUvTea594mqZ6TqZazScPqmAk6P8HgsBVExoEBwDrdEeIFruu9MiXFR99fYoIWhigh1MdS/u9fo3T1jPFRcJOWYFXZkHFlWVpCyOLRMjLpwT99UMGbsLhY0TlHP4taNLLptX8nC+Opcz8a7ZEU3Fgu5eAPSNNlkyWzVP7tSFN5537m14IXWjfZbOG5t9PUQVWge8Cfa920v40v/bBi/+b4BTzn4F+/thxAC//ySvtCArMfCpSk79K9+dQCbV9m45p3lxN7WehvIVuvBbib3iVL59PjCqKQ9wJmYlLFJEw7HiBeAquADZRF7vNNAx5ao9oEmzHVA29qVlrEtp8PXSSmylRU0MSOqdW0n2KC5yteOWAFD8dSN+chqHFlLDGVtBDLcZ6Xq+54VvayRGlvWjFheyAhdpG6JGU+WC3olExpzS41A2wqXXDLNWVmSkIQQOG6t+drv1Qx4gA3QZYEQIhAbVikKfPby/o7FLdH4Olp3bKkuXKry6eqRXmC8l2+udtFVOzVhXrjNyTw/+7jg6n/lYLhqQVJcFWXjmB14/2kb894kds7xRfznTwzjT39tCP/x+qFQwH1gP2LKLL2fhIlUihaKeYE//PAg/o/3D3iT1spBG+eeEPxtuss9jaGzYWUOf3DNEN57ZrKLrpU4ShOXnlHCtg15vO/MEo53awfqrrSkxZzuFgeClQPo/bp6uP1knktI55u4CgU6pszbrPVIlxK6iGq3E1McerUN/fzqrXEpNEknzZGl4TxXbG+vuH87nLjefDyFEMbWxFtaUEB7DV0BpYvoITKuOi54/3FUOJFpjIvz5EQtbLN4NbrN8j/rbxM++Z4+/Oy5GvpLAmcfVwwpg+1QKVpewV2KXkuxW1B1QDeyt23I4y6SYd1KCZrlgq5IqonsuvMqeMdxYVXaEgJnbCrgPtJtJp8T+NyV/bj3ifnECamvZOFPPjqM3XtqmJhu4qJtwYkxbSxRlCK3Y0veTaIIsmLADtX527Yxjx887v8O24ZXrxZoP8xDp1OfN9xn4XeuGgg8py+ikkJZ1o7YePRF/14UImgg0/jPLAuMKK7aUYaUq0w16wAADqZJREFUjjo9lqJLlb9fTjF6VS6rkOvtyU7n+HV5fOidZRyebgZK3XUaPVlo7YiN0zflPQVwW0RCGhAc3849MdndPDZo4/NXD2B2XsZ+7mKTswU+9M4y7vjZHD7wjuAC8JQN+UB895phy5hAudzQ5yo6phwzSppqDFqBVrtR6ncxL5C3EejQFqdWRxnxnSyx1WmWrQEqhLgBwDCASQBbAHxZSrlnsd631KxfkcPVKxbvdH3wHeWAAXreiYXM5Zw6BQ3m1svO6DfZW1oB1Q7/JW6mfM4WRkMOAE7fnA8YoIDTdvPUjelipUoFgXNPbK8wuG6AXrGjhEJOePufhuPXBX9fzhL4nasG8F+/cxRb1+YxElNSplWuv6CCrz0wi/NSTPRZ0CeApEQfPR5wtN8KKCbnn1T0uhJdsb21xENKPidCha3TQmu17thSaDl5a6m4PIU63i76gmPtsFNIfKhSxTtPKMS6ylcP27j23DJen2jgupjYT4qpUslScPmZZVx6ein0+07ZkPcKrucs4LIzlk6p7RZrR2189vJ+VGsSx63N4dWD/hgdFddvWwJX7Ch7lUWSyq1tWZPD9vE8XnijHogFZQO0wwghrgFwqZTyWvfxMIBdQogdUsrJTr/v7cDGVTmcfVwBDz1Xw5phCx95V+ezBNPy7lOKuPfxeTSlxFU7gxOEbYlA/cJW6zUuB3R3ZprSNSdEuL66iV40/twTipnVdF1NUCWNvvipEdhW5xVQALhwWwlnbS10vGhz1l0dX5ML1KrUF2GbV+fwLy/vh2W1ngG/GJxvaErAOLGANCt89YiNUl7g4ymqigDAZWcsvpG8WJiM61Je4I8/OoQjs0231N9bZwx//9ll/OOjVXzsXeEF3XYSHjFdJQpojPp71c4y+ooC33+06oVeRSGEwGcvH4CUEk++uoAv3TmNYt4JpepVemf0ysbvA7hJPZBSTgohdgP4MIBbFuF9bws+8Z4+nLW1gOPX5YxtwLpFpWjhT3/Nyew3KSrvPbPklczRY0LfSvSXBI5b62SE//aV/amMrrwt8IGzy7hz1xyuPbc1Vatd9Gsnqs1gEjdc2odb7p7BYFkEuoosJp1qR0hZQdznl5+ZrPasGbbxu1cN4G/vn8GBo01jpm9U6a5uIwAorSUuMe3tjBAC46tzeOylBawaspZ0bO0VcrYIhd28FbhqZxlX7CglJnaddEwedz7ihJIlLdwuOrWEizKEiKg429/7wACG+6zYeP2lZtmNGK5quR3AhPbSBIBrEWFItvq+txN5W3S0M0Q7xBkal51RwpHZJnK28BI93ooIIfBv3j+AeiObG+XKnWW8b3up4y0OW6XVCXfn1gJGB2ysHLSWnWuXMjZk4+PvruDA0WYgCSuOk4/N408+NoQjM02M9vBE/Yn39OGHj1dx9TmVt0z1icXg2nMrGOmr4uzje2N8ZRaPNFUFjlubw8cvrKDZdGLjO40QIhTG1Issx9l73P1fd5lPktc69j4hxFoAa7WnT0zYR2YRsa34WnhvJUwlO9Kw1Mbn+892Ypd2bml9whVCvCWyYwHgglOyx7nZluhp4xNwakm2GzP8dmD1sI3r3/32GLOYZIQQuODkt37saxLLcXQf7fJrnwHwR7F7xDBMgCt3OPGUY23WqGQYhmHemixHA7TbfBnAt7XnTgTwtSXYF4ZZFgghlqyMF8MwDNP7LEcDVMVwDmvPDyMc39n2+6SU+wDso89xrBPDMAzDMEzrLEf/WFTNztGY19p5H8MwDMMwDNNBlp0B6tbr3I1w4tAwgLs7/T6GYRiGYRimsyw7A9TlCwCuUw/cEkvjIKWUhBCXCCF2ua+lfh/DMAzDMAyzuCzHGFBIKW8XQowKIW4G8AKclpqXGroZjcNxsU9mfB/DMAzDMAyzSCxLAxQApJSxqqWU8h4AI1nfxzAMwzAMwywuy9UFzzAMwzAMwyxT2ABlGIZhGIZhugoboAzDMAzDMExXYQOUYRiGYRiG6SpsgDIMwzAMwzBdhQ1QhmEYhmEYpquwAcowDMMwDMN0lWVbB3SJKQHA008/vdT7wTAMwzAMs6QQe6iU9j1CSrk4e/MWRgjxMQBfW+r9YBiGYRiG6SGul1J+Pc2GbIC2gBBiBYD3AngJQHWRv+5EOMbu9QCeWeTvYlqHz9PygM/T8oDP0/KAz9PyoBvnqQRgE4DvSykPpXkDu+BbwD24qSz8dhFCqD+fkVLu7sZ3Mtnh87Q84PO0PODztDzg87Q86OJ5+nGWjTkJiWEYhmEYhukqbIAyDMMwDMMwXYUNUIZhGIZhGKarsAHa++wD8O/d/5nehc/T8oDP0/KAz9PygM/T8qAnzxNnwTMMwzAMwzBdhRVQhmEYhmEYpquwAcowDMMwDMN0FTZAGYZhGIZhmK7CBijDMAzDMAzTVbgTEsMwbymEEDcAgJTyFsPzwwAmAWwB8GUp5Z6s2zAMw3QbIcQ4nPHo0ojXOzK+dXMMZAO0R+GJsDcQQtwIYAWAcTjn4zO9flO/nVGDNIDPaM9fA+BSKeW17uNhALuEEDuklJNpt2Hax72nPKSUf6a9zvfTEuPeC+PuwxUAvqm3cOTz1B2EEJcAuBbOMbxECDGsj0edGt+6PgZKKflfj/0DcA2A28jjYQAvABhe6n17O/0DcDOAcfL4RgBSey7xXPH57Oo5u9E9tjdoz+8CcIn23G10uzTb8L+2z49+zA9rj/l+WvpzdA2A7YbzxuPe0p6X7e78Ezp+nRrfuj0Gcgxob/L7cFQcAIB0Vh67AXx4yfbo7ckNcG56AAGl5iayTZpzxeezC7ir99sNzw/DOY8T2ksTcJSFVNsw7aFUNRkMjbgFwD3kMd9PS89npKZ2ArgbwCXkMZ+nHqFT49tSjIFsgPYYPBH2HOPa4z3quV69qd+OuMd5VJrde+oc6i6kSfJamm2Y9rgZQWMTUsqb1Dnj+6l3EELcpj11KYBH3Nf4PPUWnRrfuj4Gcgxo78ETYY8gpRwxPD0OfxLtyZv6bcoNUoslJIzGvG80wzZMe4wDOOTGgKqYQBpbyPdTb3ATnLi/F+DEUo8DuJvPU8/SqfGt62MgG6C9B0+EPYrrQgQcJQfo0Zv67UaU653pHYQQKpTlLBlMcHjRTXDYA76fegIp5W4hxKVw3O53A7hHBjOv+TwxHYFd8AyTAney/AqcDEHO4uwRElzvCuUGHNaeHyavpdmGaZ+H1R9uTOAeBGOqmSWGuM9H4JybS4QQL7jPM71Hp8a3ro+BrID2HjwR9iZfAfBpKSWNYevJm/ptxocBbBFC3EyeGwdwrRBiC4AvwDFyTIyS19Jsw7RO1HHeA2Cn+zffT73BDwBc7C4Q/kwIcTscJfRmOC55Pk+9RafGt66PgWyA9h48EfYYbszaN6WUt7uPh4l6Y4INmy6hZVQD8GoP3kZfE0LshmOY0uzeYTgTK6SUk0nbMK3jHt+kzfh+WmLcOroTktR8lFLuIS55gM9TT5Fm7OrUNp2GXfA9BilVoQdq80S4BLjxhXuU8emiOu0knis+n0uCyVX4BQDXqQeuO3EcThmgLNswrXMPgLO058bhZlfz/dS7uCEue9y/+Tz1Hp0a37o6Bgq30CjTQ7hGz3VasP4uANyRpYu4HSg+g+CAOQxghZTyJnebxHPF57M7kPN1DZzJ8nZ1ntzXb4CTef0C4ju3xG7DtIabiHSblHKL+3gYwIsANme5V/h+WlyEEHcDuJmGG7leoHtUJjyfp+7hqtKfgVOHdTuchdxuAF+gx7FT41s3x0A2QHsUngiXHiHEYZjVtGupItprNzXD9CpaW8FhOIZOT0+Sb0dITPUhxLfi5PPEtAwboAzDMAzDMExX4RhQhmEYhmEYpquwAcowDMMwDMN0FTZAGYZhGIZhmK7CBijDMAzDMAzTVdgAZRiGYRiGYboKG6AMwzAMwzBMV2EDlGEYhmEYhukqbIAyDMMwDMMwXYUNUIZhGIZhGKarsAHKMAyzjBBCjLt9ttNuf+Ni7g/DMEwrsAHKMAyzTBBCqP7pt2d42y1CiC8v1j4xDMO0AhugDMMwPYYQYrsQYtzw0lcA3JTls6SUkwB2ZVFNGYZhFhs2QBmGYXqP2wAEDFBlkEop92T9MCnlLQB+vzO7xjAM0z5sgDIMw/QQrpt9HMAj2kufAfDNNj76ESHE9jbezzAM0zHYAGUYhuktLgGwx3Wd68/f08bn7gJwXRvvZxiG6Ri5pd4BhmEYBhBCXALgWjiG5qSbOHS3lPJ2pYoajFL6/hvcPycAjLpud8ojcFRUhmGYJYcNUIZhmB5ASnkPgHuEELsAfEHLdB8FEBn76Rqfw1LKP3MfHxZC3KPFi+4BMLwIu84wDJMZdsEzDMP0FtsRdrWPw1E2o7gUwAryeIeerOSqp6bMeoZhmK7DBijDMEyP4LrhTfGfSdwN4EYhhBRC3I14Y5VhGGbJYQOUYRimdzCpn4DjPh+NepMb77kFTo3QcThlnAK4caSZSzgxDMMsBmyAMgzD9A6XwslWVy03VdmkCUS4z4UQu4QQN0gp97gxoNfCbKyOA8iqrDIMwywKbIAyDMP0DrT+5zVSyt2AF7+5x1UxTfxv8vd1AL5g2GYn2ivjxDAM0zGElHKp94FhGIYB4LbLPAvAIQC30FhQIcSNcOJDbze8hyqeE6Ze8W5Zpy8ro5ZhGGYpYQOUYRhmGeC24rxZSnlti+/fJaXc0eHdYhiGaQl2wTMMwywDVFkl1RM+C26dUJNbnmEYZklgA5RhGGb58GkAN2d5g2uw7jC55RmGYZYKNkAZhmGWCW5M6E1u3GdarpFScgtOhmF6Co4BZRiGYRiGYboKK6AMwzAMwzBMV2EDlGEYhmEYhukqbIAyDMMwDMMwXYUNUIZhGIZhGKarsAHKMAzDMAzDdBU2QBmGYRiGYZiuwgYowzAMwzAM01XYAGUYhmEYhmG6ChugDMMwDMMwTFdhA5RhGIZhGIbpKmyAMgzDMAzDMF3l/wcsbCVyO6OMywAAAABJRU5ErkJggg==
"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>d) Realizamos el histograma solicitado:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[8]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">dpi</span><span class="o">=</span><span class="mi">125</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Histograma de estados durante la simulación.&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">estados</span><span class="p">,</span> <span class="n">bins</span><span class="o">=</span><span class="mi">23</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;cornflowerblue&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="s2">&quot;Cantidad&quot;</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;$n$&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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

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


<div class="output_area">

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


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

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Vemos que el histograma generado es similar a una función decreciente. Esto resulta lógico debido a que la probabilidad de que haya un ingreso es menor a la probabilidad de que haya un egreso, por lo tanto cuando nos encontramos en un estado que es mayor a cero es más posible trasladarse hacia estados más pequeños. ebido a esto, los estados más pequeños tendrán preponderancia por sobre los más grandes.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>e) Para calcular el tiempo que el servidor se encuentra sin procesar solicitudes, consideramos aquellos momentos donde el estado del sistema es cero, es decir que no hay solicitudes en el sistema, y calculamos que porcentaje total de las muestras ocupan.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[9]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">porcentaje_de_muestras_estado_cero</span> <span class="o">=</span> <span class="nb">len</span><span class="p">([</span><span class="n">e</span> <span class="k">for</span> <span class="n">e</span> <span class="ow">in</span> <span class="n">estados</span> <span class="k">if</span> <span class="n">e</span> <span class="o">==</span> <span class="mi">0</span><span class="p">])</span> <span class="o">/</span> <span class="nb">len</span><span class="p">(</span><span class="n">estados</span><span class="p">)</span> <span class="o">*</span> <span class="mi">100</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;El porcentaje total de tiempo donde el servidor no atiende solicitudes es: </span><span class="si">{}</span><span class="s2">%.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">porcentaje_de_muestras_estado_cero</span><span class="p">))</span>
</pre></div>

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

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


<div class="output_area">

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


<div class="output_subarea output_stream output_stdout output_text">
<pre>El porcentaje total de tiempo donde el servidor no atiende solicitudes es: 26.919999999999998%.
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Ejercicio-3">Ejercicio 3<a class="anchor-link" href="#Ejercicio-3">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Una entidad bancaria se encuentra analizando cuantos clientes en simultáneo están conectados a su home banking.
Para ello comenzó a monitorear cada minuto la cantidad de clientes activos, y analizó como se modifica esta cantidad de
una observación a la siguiente.
Se determinó que la probabilidad que la cantidad de clientes conectados aumentara, o se mantenga igual, podía modelarse
utilizando una distribución de probabilidad Binomial, mientras que la probabilidad de tener menos clientes conectados
respondía a una distribución uniforme.</p>
<p>Siendo $i$ y $j$ dos cantidades de usuarios conectados al sistema.</p>
<p>Se sabe además que la probabilidad que un cliente se conecte al sitio es p=0,7</p>
<p>(Por simplicidad supondremos que el servidor de este home banking permite cómo máximo 50 clientes en simultáneo)</p>
<p>a. Determinar la matriz de transición de estados explicando cómo se obtiene la misma.</p>
<p>b. Utilizando Matlab, Octave o Python simular una posible evolución del sistema a lo largo de 100 observaciones graficando cómo se modifica la cantidad de clientes conectados en cada momento.</p>
<p>c. Simulando 100.000 observaciones realizar un histograma mostrando cuantas veces el sistema estuvo en cada estado.
  (Recomendación: utilizar tantas categorías en el histograma como estados tiene el sistema).</p>
<p>d. Determinar el % de tiempo que en el home banking no tuvo clientes conectados.</p>
<p>e. Se está evaluando migrar el home banking a un servidor que permitiría cómo máximo 40 clientes conectados en simultáneo. La migración sólo se realizaría si la probabilidad de tener más de 40 clientes es menor a 10%.
Indique si se puede recomendar realizar la migración.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h2 id="Respuestas">Respuestas<a class="anchor-link" href="#Respuestas">&#182;</a></h2>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>a. Comenzamos generando la matriz de transición de estados. Como la consigna indica que el sistema de home banking permite como máximo un total de 50 clientes en simultáneo, la matriz tendrá una dimensión de $51x51$ ya que el estado $0$ lo consideramos como el estado en el que no hay ningún cliente conectado.</p>
<ul>
<li>Las probabilidades que se encuentran en la diagonal de la matriz y hacia la derecha, tendrán una distribución binomial. </li>
</ul>
<p>$P(i \rightarrow j) = \binom n{j-i} p^{j-i} (1-p)^{n-(j-i)} $</p>
<ul>
<li>La probabilidades que se encuentran a la izquierda de la diagonal de la matriz tendrán distribución uniforme.</li>
</ul>
<p>$P(i \rightarrow j) = \frac{1-\sum_{j=i}^{j=n} P(i \rightarrow j)}{i} $</p>
<p>Por lo tanto, procedemos a generar la matriz en cuestión:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[10]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">math</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">from</span> <span class="nn">functools</span> <span class="k">import</span> <span class="n">reduce</span>
<span class="kn">from</span> <span class="nn">math</span> <span class="k">import</span> <span class="n">isclose</span>

<span class="n">N</span> <span class="o">=</span> <span class="mi">50</span>
<span class="n">P</span> <span class="o">=</span> <span class="mf">0.7</span>

<span class="k">def</span> <span class="nf">combinatorio</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">k</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">factorial</span><span class="p">(</span><span class="n">n</span><span class="p">)</span><span class="o">//</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">factorial</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="n">k</span><span class="p">)</span><span class="o">*</span><span class="n">math</span><span class="o">.</span><span class="n">factorial</span><span class="p">(</span><span class="n">k</span><span class="p">))</span>

<span class="n">matriz</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">N</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="n">N</span><span class="o">+</span><span class="mi">1</span><span class="p">))</span>
<span class="c1">#Filas tienen que sumar 1!! (Markov)</span>

<span class="c1"># Calculamos la diagonal principal y parte superior</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">N</span><span class="o">+</span><span class="mi">1</span><span class="p">):</span> <span class="c1">#Va de 0 a 50</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">N</span><span class="o">+</span><span class="mi">1</span><span class="p">):</span>
        <span class="k">if</span> <span class="n">j</span><span class="o">&gt;=</span><span class="n">i</span><span class="p">:</span>
            <span class="n">comb</span> <span class="o">=</span> <span class="n">combinatorio</span><span class="p">(</span><span class="n">N</span><span class="p">,</span><span class="n">j</span><span class="o">-</span><span class="n">i</span><span class="p">)</span>
            <span class="n">matriz</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">comb</span><span class="o">*</span><span class="n">P</span><span class="o">**</span><span class="p">(</span><span class="n">j</span><span class="o">-</span><span class="n">i</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">P</span><span class="p">)</span><span class="o">**</span><span class="p">(</span><span class="n">N</span><span class="o">-</span><span class="p">(</span><span class="n">j</span><span class="o">-</span><span class="n">i</span><span class="p">))</span>
            

<span class="c1"># Calculamos la parte inferior de la matriz            </span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">N</span><span class="o">+</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">i</span><span class="p">):</span>
        <span class="n">sub_mat</span> <span class="o">=</span> <span class="n">matriz</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="c1">#slice de la porción de fila a sumar</span>
        <span class="n">suma</span> <span class="o">=</span> <span class="n">reduce</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">:</span><span class="n">x</span><span class="o">+</span><span class="n">y</span><span class="p">,</span> <span class="n">sub_mat</span><span class="p">)</span> <span class="c1">#sumamos los elementos de la sub-fila</span>
        <span class="n">matriz</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="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">suma</span><span class="p">)</span><span class="o">/</span><span class="n">i</span> 
           

<span class="c1">#Verificamos que todas las filas suman 1 (Markov)</span>
<span class="n">ok</span> <span class="o">=</span> <span class="kc">True</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">N</span><span class="o">+</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">N</span><span class="o">+</span><span class="mi">1</span><span class="p">):</span>
        <span class="n">mat</span> <span class="o">=</span> <span class="n">matriz</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
        <span class="n">suma</span> <span class="o">=</span> <span class="n">reduce</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">:</span><span class="n">x</span><span class="o">+</span><span class="n">y</span><span class="p">,</span> <span class="n">mat</span><span class="p">)</span>
        <span class="k">if</span> <span class="ow">not</span> <span class="n">math</span><span class="o">.</span><span class="n">isclose</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">suma</span><span class="p">,</span> <span class="n">abs_tol</span><span class="o">=</span><span class="mf">1e-8</span><span class="p">):</span>
            <span class="n">ok</span> <span class="o">=</span> <span class="kc">False</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Todas las filas de la matriz de transición suman 1:&quot;</span><span class="p">,</span> <span class="n">ok</span><span class="p">)</span>
</pre></div>

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

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


<div class="output_area">

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


<div class="output_subarea output_stream output_stdout output_text">
<pre>Todas las filas de la matriz de transición suman 1: True
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[11]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">set_printoptions</span><span class="p">(</span><span class="n">threshold</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">inf</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">dpi</span><span class="o">=</span><span class="mi">125</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">matshow</span><span class="p">(</span><span class="n">matriz</span><span class="p">,</span> <span class="n">cmap</span><span class="o">=</span><span class="s1">&#39;Wistia&#39;</span><span class="p">,</span> <span class="n">fignum</span><span class="o">=</span><span class="mi">0</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="mf">0.25</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Heatmap de la matriz de transición&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">colorbar</span><span class="p">()</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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

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


<div class="output_area">

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


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

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>b) Definimos la función $simular(n)$, que recibe la cantidad de observaciones, para luego simular con la cantidad deseada.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[12]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span><span class="p">(</span><span class="mi">32</span><span class="p">)</span>


<span class="k">def</span> <span class="nf">simular</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
    <span class="n">random</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">rand</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
    <span class="n">estado_actual</span> <span class="o">=</span> <span class="mi">0</span>
    <span class="n">estados</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</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">n</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
        <span class="n">probas_transicion</span> <span class="o">=</span> <span class="n">matriz</span><span class="p">[</span><span class="n">estado_actual</span><span class="p">]</span>
        <span class="n">r</span> <span class="o">=</span> <span class="n">random</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
        <span class="n">proba_acumulada</span> <span class="o">=</span> <span class="mi">0</span>
        <span class="n">estado_siguiente_encontrado</span> <span class="o">=</span> <span class="kc">False</span>
        <span class="n">j</span> <span class="o">=</span> <span class="mi">0</span>
        <span class="k">while</span> <span class="ow">not</span> <span class="n">estado_siguiente_encontrado</span><span class="p">:</span>
            <span class="n">proba_acumulada</span><span class="o">+=</span><span class="n">probas_transicion</span><span class="p">[</span><span class="n">j</span><span class="p">]</span>
            <span class="k">if</span> <span class="n">r</span> <span class="o">&lt;=</span> <span class="n">proba_acumulada</span><span class="p">:</span>
                <span class="n">estados</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">j</span><span class="p">)</span>
                <span class="n">estado_siguiente_encontrado</span> <span class="o">=</span> <span class="kc">True</span>
                <span class="n">estado_actual</span> <span class="o">=</span> <span class="n">j</span>
            <span class="n">j</span><span class="o">+=</span><span class="mi">1</span>
    <span class="k">return</span> <span class="n">estados</span>
</pre></div>

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

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Ahora, simulamos los estados para 100 observaciones a lo largo del tiempo:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[13]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">N</span> <span class="o">=</span> <span class="mi">100</span>
<span class="n">estados</span> <span class="o">=</span> <span class="n">simular</span><span class="p">(</span><span class="n">N</span><span class="p">)</span>
</pre></div>

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

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[14]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">observaciones</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">100</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">figure</span><span class="p">(</span><span class="n">dpi</span><span class="o">=</span><span class="mi">125</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">observaciones</span><span class="p">,</span> <span class="n">estados</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;cornflowerblue&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Cantidad de clientes conectados en simultáneo en cada instante&quot;</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;$t$&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;$clientes$&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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

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


<div class="output_area">

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


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

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>c) Volvemos a realizar la simulación, esta vez para $100000$ observaciones, y generamos el histograma correspondiente para mostrar la distribución de estados.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[15]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">N</span> <span class="o">=</span> <span class="mi">100000</span>
<span class="n">estados</span> <span class="o">=</span> <span class="n">simular</span><span class="p">(</span><span class="n">N</span><span class="p">)</span>
</pre></div>

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

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[16]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">dpi</span><span class="o">=</span><span class="mi">125</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Histograma de estados durante la simulación.&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">estados</span><span class="p">,</span> <span class="n">bins</span><span class="o">=</span><span class="mi">50</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;cornflowerblue&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="s2">&quot;Cantidad&quot;</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;$n$&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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

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


<div class="output_area">

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


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

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>d) Para determinar el porcentaje de tiempo en el que el home banking no tuvo clientes conectados, observamos en la lista de estados aquellos estados que son $0$, en el que hay 0 clientes conectados.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[17]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">porcentaje_estado_cero</span> <span class="o">=</span> <span class="nb">len</span><span class="p">([</span><span class="n">e</span> <span class="k">for</span> <span class="n">e</span> <span class="ow">in</span> <span class="n">estados</span> <span class="k">if</span> <span class="n">e</span> <span class="o">==</span> <span class="mi">0</span><span class="p">])</span> <span class="o">/</span> <span class="nb">len</span><span class="p">(</span><span class="n">estados</span><span class="p">)</span> <span class="o">*</span> <span class="mi">100</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;El porcentaje total de tiempo en el que no hay clientes conectados en home banking es: </span><span class="si">{}</span><span class="s2">%.&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">porcentaje_estado_cero</span><span class="p">))</span>
</pre></div>

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

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


<div class="output_area">

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


<div class="output_subarea output_stream output_stdout output_text">
<pre>El porcentaje total de tiempo en el que no hay clientes conectados en home banking es: 2.197%.
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>e) Observamos la probabilidad de tener 40 clientes o más conectados en home banking y a partir del resultado indicamos si es favorable la migración al servidor</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[18]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">P</span> <span class="o">=</span> <span class="mf">0.1</span>

<span class="n">cant</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">for</span> <span class="n">estado</span> <span class="ow">in</span> <span class="n">estados</span><span class="p">:</span>
    <span class="k">if</span> <span class="n">estado</span> <span class="o">&gt;=</span> <span class="mi">40</span><span class="p">:</span>
        <span class="n">cant</span><span class="o">+=</span><span class="mi">1</span>

<span class="n">proba</span> <span class="o">=</span> <span class="n">cant</span><span class="o">/</span><span class="nb">len</span><span class="p">(</span><span class="n">estados</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;La probabilidad de que haya más de 40 personas simultáneamente en el home banking es: </span><span class="si">{}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">proba</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;La migración de home banking a un servidor es recomendable:&quot;</span><span class="p">,</span> <span class="n">proba</span> <span class="o">&lt;</span> <span class="n">P</span><span class="p">)</span>
</pre></div>

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

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


<div class="output_area">

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


<div class="output_subarea output_stream output_stdout output_text">
<pre>La probabilidad de que haya más de 40 personas simultáneamente en el home banking es: 0.2557
La migración de home banking a un servidor es recomendable: False
</pre>
</div>
</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Vemos que aproximadamente un 25% del tiempo, hay más de 40 clientes utilizando simultáneamente el Home Banking. Debido a esto, podemos indicar que no es recomendable realizar la migración ya que posiblemente ocurriría una saturación en el servidor.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Ejercicio-4">Ejercicio 4<a class="anchor-link" href="#Ejercicio-4">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Se desea simular la evolución de una epidemia utilizando el modelo S.I.R.</p>
<p>Se conoce que inicialmente el 3% de la población se encuentra infectada, toda la población es susceptible de
contagiarse, la tasa de transmisión β=0.27, y la tasa de recuperación γ = 0.043.</p>
<p>Se pide:</p>
<ul>
<li>Implementar el modelo SIR correspondiente.</li>
<li>Graficar las curvas de porcentajes de personas sanas, infectadas y recuperadas, de forma que se vea la evolución
de la epidemia.</li>
<li>Sabiendo que el sistema de salud puede asistir cómo máximo sólo al 30% de la población a la vez, determine la
duración total de la epidemia si se quiere que el pico máximo de infectados no supere las capacidades de
asistencia médica. ¿Qué parámetros modifica? ¿Por qué?</li>
</ul>

</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>El modelo SIR es un tipo de sistema dinámico no linea autónomo de tiempo continuo. Sus variables son las siguientes:</p>
<ul>
<li>$S(t)$: Susceptibles de infectarse.</li>
<li>$I(t)$: Infectacdos.</li>
<li>$R(t)$: Recuperados.</li>
</ul>
<p>A partir de estas variables, el modelo SIR  queda definido por las siguientes ecuaciones diferenciales:</p>
<ul>
<li>$\frac{dS}{dt}=-\beta \cdot S \cdot I$</li>
<li>$\frac{dI}{dt}=\beta \cdot S \cdot  I - \gamma \cdot I$</li>
<li>$\frac{dR}{dt}=\gamma \cdot I$</li>
</ul>
<p>A su vez, sus parámetros son:</p>
<ul>
<li>Tasa de transmisión: $\beta$</li>
<li>Tasa de recuperación: $\gamma$</li>
</ul>
<p>A continuación se encuentra la implementación del modelo SIR. Como nos encontramos con un sistema de ecuaciones diferenciales en tiempo continuo, debemos utilizar un método númerico para realizar la simulación y obtener el valor de las variables a través del tiempo. Elegimos el algoritmo númerico Runge-Kutta de orden 4, que se define de la siguiente manera:</p>
<p>$y = f(x,y)$; $y(x_0) = y_0)$</p>
<p>$y_{i+1} = y_i + \frac{1}{6} \cdot h \cdot (k_1 + 2k_2 + 2k_3 +k_4)$</p>
<p>$\left\lbrace\begin{array}{c} k_1 = f(x_i, y_i) \\
                              k_2 = f(x_i + \frac{1}{2} h, y_i +\frac{1}{2}k_1h) \\
                              k_3 = f(x_i + \frac{1}{2} h, y_i +\frac{1}{2}k_2h) \\
                              k_4 = f(x_i + h, y_i + k_3 h)
                              \end{array}\right.$</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[19]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">sir_model</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">gamma</span><span class="p">):</span>
    <span class="c1"># x[0] contiene los susceptibles; x[1] contiene a los infectados; x[2] contiene a los recuperados.</span>
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="o">-</span><span class="n">beta</span> <span class="o">*</span> <span class="n">x</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">*</span> <span class="n">x</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">beta</span> <span class="o">*</span> <span class="n">x</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">*</span> <span class="n">x</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">gamma</span> <span class="o">*</span> <span class="n">x</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">gamma</span> <span class="o">*</span> <span class="n">x</span><span class="p">[</span><span class="mi">2</span><span class="p">]])</span>

<span class="k">def</span> <span class="nf">simular_sir_con_runge_kutta</span><span class="p">(</span><span class="n">x_0</span><span class="p">,</span> <span class="n">h</span><span class="p">,</span> <span class="n">tiempo</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">gamma</span><span class="p">):</span>
    <span class="n">N</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="n">tiempo</span> <span class="o">/</span> <span class="n">h</span><span class="p">)</span>
    <span class="n">tiempos</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">]</span>
    <span class="n">valores</span> <span class="o">=</span> <span class="p">[</span><span class="n">x_0</span><span class="p">]</span>
    <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">N</span><span class="p">):</span>
        <span class="n">k_1</span> <span class="o">=</span> <span class="n">sir_model</span><span class="p">(</span><span class="n">valores</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">],</span> <span class="n">beta</span><span class="p">,</span> <span class="n">gamma</span><span class="p">)</span>
        <span class="n">k_2</span> <span class="o">=</span> <span class="n">sir_model</span><span class="p">(</span><span class="n">valores</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">k_1</span> <span class="o">*</span> <span class="n">h</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">gamma</span><span class="p">)</span>
        <span class="n">k_3</span> <span class="o">=</span> <span class="n">sir_model</span><span class="p">(</span><span class="n">valores</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">k_2</span> <span class="o">*</span> <span class="n">h</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">gamma</span><span class="p">)</span>
        <span class="n">k_4</span> <span class="o">=</span> <span class="n">sir_model</span><span class="p">(</span><span class="n">valores</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">k_3</span> <span class="o">*</span> <span class="n">h</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">gamma</span><span class="p">)</span>
        <span class="n">valores</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">valores</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="mi">1</span><span class="o">/</span><span class="mi">6</span> <span class="o">*</span> <span class="n">h</span> <span class="o">*</span> <span class="p">(</span><span class="n">k_1</span> <span class="o">+</span> <span class="mi">2</span><span class="o">*</span><span class="n">k_2</span> <span class="o">+</span> <span class="mi">2</span><span class="o">*</span><span class="n">k_3</span> <span class="o">+</span> <span class="n">k_4</span><span class="p">)))</span>
        <span class="n">tiempos</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">tiempos</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">h</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">tiempos</span><span class="p">,</span> <span class="n">valores</span>
</pre></div>

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

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[20]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">s_0</span> <span class="o">=</span> <span class="mf">0.97</span>
<span class="n">i_0</span> <span class="o">=</span> <span class="mf">0.03</span>
<span class="n">r_0</span> <span class="o">=</span> <span class="mf">0.005</span>
<span class="n">h</span> <span class="o">=</span> <span class="mf">0.01</span>

<span class="n">beta</span> <span class="o">=</span> <span class="mf">0.27</span>
<span class="n">gamma</span> <span class="o">=</span> <span class="mf">0.043</span>

<span class="n">tiempos</span><span class="p">,</span> <span class="n">valores</span> <span class="o">=</span> <span class="n">simular_sir_con_runge_kutta</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">s_0</span><span class="p">,</span> <span class="n">i_0</span><span class="p">,</span> <span class="n">r_0</span><span class="p">]),</span> <span class="n">h</span><span class="p">,</span> <span class="mi">130</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">gamma</span><span class="p">)</span>
</pre></div>

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

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Procedemos a realizar el gráfico del porcentaje de personas sanas (susceptibles), infectadas y recuperadas a través del tiempo, a fines de determinar la evolución de la epidemia a partir de la simulación realizada.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[21]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">porcentaje_sanos</span> <span class="o">=</span> <span class="p">[</span><span class="n">valor</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">valor</span> <span class="ow">in</span> <span class="n">valores</span><span class="p">]</span>
<span class="n">porcentaje_infectados</span> <span class="o">=</span> <span class="p">[</span><span class="n">valor</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="k">for</span> <span class="n">valor</span> <span class="ow">in</span> <span class="n">valores</span><span class="p">]</span>
<span class="n">porcentaje_recuperados</span> <span class="o">=</span> <span class="p">[</span><span class="n">valor</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="k">if</span> <span class="n">valor</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">&lt;</span> <span class="mi">1</span> <span class="k">else</span> <span class="mi">1</span> <span class="k">for</span> <span class="n">valor</span> <span class="ow">in</span> <span class="n">valores</span><span class="p">]</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">dpi</span><span class="o">=</span><span class="mi">125</span><span class="p">)</span>
<span class="n">sanos</span><span class="p">,</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tiempos</span><span class="p">,</span> <span class="n">porcentaje_sanos</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;cornflowerblue&quot;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s2">&quot;Sanos&quot;</span><span class="p">)</span>
<span class="n">infectados</span><span class="p">,</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tiempos</span><span class="p">,</span> <span class="n">porcentaje_infectados</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;red&quot;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s2">&quot;Infectados&quot;</span><span class="p">)</span>
<span class="n">recuperados</span><span class="p">,</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tiempos</span><span class="p">,</span> <span class="n">porcentaje_recuperados</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;orange&quot;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s2">&quot;Recuperados&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Porcentaje de sanos, infectados y recuperados a través del tiempo&quot;</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;$t$ [d]&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">130</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;$\%$&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="n">handles</span><span class="o">=</span><span class="p">[</span><span class="n">sanos</span><span class="p">,</span> <span class="n">infectados</span><span class="p">,</span> <span class="n">recuperados</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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

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


<div class="output_area">

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


<div class="output_subarea output_stream output_stderr output_text">
<pre>findfont: Font family [&#39;sans-serif&#39;] not found. Falling back to DejaVu Sans.
</pre>
</div>
</div>

<div class="output_area">

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


<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqYAAAHfCAYAAACCvhoLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAATOQAAEzkBj8JWAQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOzdeXxcV33//9fR4i22M1ISJ46dxB7ZsbNBGDmBEpaWSGEpO5JdCv2WskjszbdQDWrpAm0RI0rhRwtFSuEHLSkkEvuOFCiU3ZLCkoTEtsZZHNuJY2ni3dZyvn+ce0ej0UiaGY10R6P38/GYh87cuXPvR/feGX10tmustYiIiIiIBK0s6ABERERERECJqYiIiIgUCSWmIiIiIlIUlJiKiIiISFFQYioiIiIiRUGJqYiIiIgUBSWmIiIiIlIUlJiKiIiISFFQYioiIiIiRUGJqYiIiIgUBSWmIiIiIlIUlJiKiIiISFEo6cTUGBMyxtgZHv3GmJag41wMjDEx75iFF2h/Ld7+6hZif0uNMabLO76hOW6nwRgz6G2roVDxBUHXnMxE18f8Sjm+PQHtN+/zaozpmMvfx0J9H5eKkk5M03SnPQaACBAzxvQHGdh8M8ZEvIteSbgUWhcQBjpxn6l5oWtYZO6K9XPkJXQxoNtaWx90PPOlWI9/sVkqiWncWtuY9qgFaoA4EDHGNAUcY7FrA2qstfGgA5GCeBPufCby3UBK7UCntbZZ14aI5KkLl5Q2Bh1IQOb8fVxKlkpimpH3hzTmPS3Z/9IKwVqbUOJROgp8PvVlKiJ5s9bWLuGkVH9f0yzpxNTjXwyT+oZ4fSr7vWr3Qa8PyJT+I37fEq/cZIwZNsZ0zbCtfmNMLH07Ke/31xs2xvRk6rfn9/dMec9gSpyxtHV7AL+rgt9PtM57LeTFP5iyz/6Z9jnNMcgq7ml+55B3bAezfe9c9ue9v8F7/3DKcZvStJLP8UmJb9pzkuF9s15nucSd5THw+0SFUpblcl11AYPeU7+PVkPK6zmdo5k+IzNdw97rWZ+nlPWzvubm+xx5x8qaDK02xpiwyaLfncnue6hg58R7fdp+cd62bdoyf5/+8R/OMo5svxczHoP5vj4yHKt5+xzn+rukvXemvwUzXj/Z7Dflesh0bvzxHsNpy7O+Judy3FJiWNC/NWnbmvX4T/NZmjUGM/m7uyXtc9vgLW9I20765znfz2fW137WrLUl+wBCgAUGZ1gn5q3TkbJs0H8fromhx3tugbq093d4y5u8n8NALGX//rb6vXX7U7YdStlOT9p6XSn7jE0Ts/+zyyv7++pKWbcuZb0eL84QLhG3KctTY7NA0zT7DKctzzruDMc+4h2v1GOdeuwzHe+89+e9vyXD7z2c/v45HJ9Zz0me11lWcefw2fCv21A+v4N37lpS4mnyr41czhFZfEaY5hrO8zzldM0txDli4nuqf4bvp4Ysz+eU76H5OCfeev42Qhni6QFs2rJhbzuDXrkn7Xi2TLedLOPOdAw6mMfrYyE/x+R4rWd4/0yfo5n+jmW1X2/7033X+dvN95qc0/dfnuc1n2svPMfjH8onBiZ/Zw96z1PX9csdTP5MNKVsI5/PZ9bXfi6PvN60WB7MkJh6rzWlH8SUE9yRtn5dpm2lneSGaV5rSVseS12eEkf6l2SIiS+ASIb3D6d/EPwPX4YP5aQ4UraRvk//S6hnmpjDKctyijvDOehPjyttX5Mu7rnuL+X4DDM5IQulH7c5HJ9sz0mu11lWcefw2ZgpMc32d/CPReoXZK7XcrafkSnXcJ7nKetrbiHPERNf6Ol/mAaB4RzOZ6bvofk6J/kkpv4fsdRjFE55Le/vl0zHYD6vjwCukZx+l2m2Md3naKbrJ+v9Tvd7pFzf/j+vuZ7bOX3/5XFe8732pk1Mszz+oXxiSPk9+mf4/SIZ4phy7sj+85nTtZ/LI683LZYHE4npbI/UhM0yzR8CJr6IUy9g/4Ka8l/bdCcn5cLy/yMd9B7hDI+mDDHG0pdliDH1wsqUmEaYphZmlgs89cLMKe607YUz7Sdt2+nHOu/9zXZ+vW2kf3DzOT7ZnpNcr7Os4s7hszFTYprt75ApMc31Ws72MzLdF3rW5ynXa24hz9E0x8b/nTtmem/a+cz0PTRf5yTfxHRKTUpKHHO5lqYcg/m8PgK4RnL6TpphG5k+RzNdP7kcw44Mv/OUFoE8r8l8j9u8/61hfhLTrGNgmpYVZq7FTj8nuX4+c7r2c3lUsHR0Z1gWB+6w1g6A64PiLe+dZhs9QANp/VE9u1OfGGMi023LupF3tSmL/O0Npq+boibDsryn5/F+5+T7vXh3ALl0QM83bnAfUIA7pnm9F/dhKNT+fJ1Ak9fXqRN3TvtsWsfzORyfWc9JntdZVnEXyFymfcr6HOX4Gckox/OU9TUXwDm6E/fHaRfQ7i1r9n52ZPF+3+4Myxb0nMzGWpvpmPq/fyRlWb6f9+QxmK/rw9vWgl4jBfrOns2U6yfH/XbgjlEjE8dlp/ezLWW9XM/tXD5bQf2tmat8YpjueGT9dyKbz+ccc6VZLZXENG6zG/HnH8Sh6bbj/cx0Qaaf+GwuqtQpdwaY/MGdbfswfZxZMcZ04P6jSo2hL8v3ziVugGrv53QjuicdtwLsDwBrbbNx89Y24/ottXjb7wWi/j8p3rJ8jk825yTn6yyXuAsgr+sqj3OU1Wcki/1me55yueYW9BxZaxPeenXGmJCXBDbhvrtyObeTrv+gzskMMh577/cH7xzN8fOefgzm4/qAAD7Hc/nOzlLG789s92utHTDGJHDJqP+PVbP3Wre3rZzP7RyPWyB/a+YiwBiy+nwyt1xpVkslMc2WfzCrp3nd/y/haIbX0k9oVifGWhv3Tnjyg7sQvBGCdbia5ObU/5JMFnO6FiBu//hMd6eLScetkMfJWtsJdHr/9fn/+TcB/caYGm9fczo+s8jrOssm7jnGNSd5nKM5fXlBztdxLtdcEOfI/+PfZIyJpyzLxaTvoSDOiWe6mpKMxz6lBmYI5vx5Tx6Debw+UtdfkGtknr+TfFMSkzz224mbqaMOl7xGvGVA/ud2Dp+twP7W5CvAGLL6fDK3XGlWmi4qhZ2Y3Ha6W5Pt8n5mU4Phn7iM2/KncvCeJnCT/GeaKsKfViKS/lq+vP3UAQPW3Wxguur42cwlbv/47Jrm9UzHbU7Hybipd2L+1BfWzR3Xa61tBqLeag0FPD4Z5XqdZRt3IWOcg1zOUS6fkUyv53qesr7mgjhHKX+AdjFR29Q5zeq5WLBz4q3jz/ox3euZtu0396Z+t8718z5v1wcs7DUy399J08lzv36TuZ84wtR/sLI+twX4bC3435oCCSSGbD6fBc6VplBiOlU7EPKaLpK8k9WAa1qb9cPpnbhuIGzS5lozE/OH+R9gv6r+rrT1/Cl5EgVqqr0gJTbI8N+RmWHOzQzyjtv777YX98HLdHwy/WGb63Ea8ta7LcOH3f+vOV7A4zOTXK6zrOL23h82c51Dbm6yPkc5fkZ8F/iFXM9THtfcvJyjWXTjapjqgF5bmDvBzNc58WtPdjLZbJ+RjtRjZCZuRwmTE5g5fd4X4PqABbpG5uE76YLZV8lvv945ieOui11k7o6Sy7md02croL81s8nm+C9UXpAu289nQXKljGweI6YWy4Ms5jGd5j3pc3Olztk23TymU0bjkTKdBRnmA0xb118+zNT5wCJp68YyLbeTR8NlGpXvz28WTlmvB3eR+/NV+o/0EXjTzWOaddwZYk2dhiJ9brmMo/rmsr+04+O/vyNln/0Z1sv1+GR7TnK9zmaNO+U82yyOw0yj8rP9HaaMys/jWs7qM0KGazjP85T1NTcf5yiL89KQsv0Z5y7N9ntoHs9JXco2/Dlv+5mYA9Gmbdef8mdwmjgyjQjPJe4px2A+r4+FvkZy/V2m2cZ0n6OZ/o7lvF8mT1M03cwsuZzbOX22cj2vhbj28jz+6dPFZRUD03x3M/EZnW7WoPRR+Vl/Psnx2s/lkdebFsuDPBLTtBPdn3bQM31oZ/uDEEr7EPkXZKYpVloyXIiZ9plTApG2PPk+Jk+e3s/E1BMNKRdpKG2fmeLJKu4Zjo//JeH/QWtI+UBlmroi7/2lvN//vf1z0pLhmOVzfLI+J7lcZ9nETZEkprmeI7L8jGS6hnM9T/lcc4U8R1len5Ys5i6d5nzONMH3fJyTBib/MeryrouO9OuQiT96qdtOHv+5xj3dMZjv62Mhr5Fcf5dptpHpb8Fsf8dyPYapk/JPG0+O1+ScPlt5ntc5XXt5HP+88gIKl5jm8/nM+trP9mG8DYvMyGvyaAECH2QjMzPGDFtrq4KOQ3LnNYP1AJ3W9aErGcZN9TNkrZ3vaXZEJEfF9PlUH1PJVpD9FiVLXv8j/eOwePmDOXIdjS8iUhI0XZTMyEt0WvFGPaq2tHildFIv5ITbsgCMMX4TeAQ36Gk+BjWIiBQ91ZjKbMJ4I+yA+oBjkRlYa+PW2nr987Ao+VMsdaJ/LERkCVMfUxEREREpCqoxFREREZGioMRURERERIqCElMRERERKQpKTEVERESkKGi6qAyMMRcAzwceBM4EG42IiIhIYFYAm4DvWmuPzvfOlJhm9nzg9qCDEBERESkSrwH+e753osQ0swcBPve5z3HVVVcFHIqIiIhIMH73u9/x2te+FrzcaL4pMc3sDMBVV11FJBIJOhYRERGRoC1I10YNfhIRERGRoqDEVERERESKghJTERERESkKSkxFREREpCgoMRURERGRoqBR+SJScGNjYzz22GOcOXOG8fHxoMORJaisrIyKigrWrl3L+eefjzEm6JBEJAtKTEWkoMbGxnj44Yc5c+YMZWVllJeXBx2SLEGjo6OcPXuWkydPMjw8zGWXXUZFhf7kiRQ7fUpFpKD8mtJQKMQll1yimioJzMjICI8//jjHjh1jaGiIdevWBR2SiMyiKPuYGmPCxpieHN/TZIxp8X7GjDHh+YpPRKbn15QqKZWgVVZWsn79esrKyjhx4kTQ4YhIFoqqxtQYUwc0AgmgzhgTstYmsnhfA1BvrW30noeAfmNMbTbvF5HCGR8fp7y8XEmpFAW/O4n6OossDkVVY2qt7bXWNgN35PjWVqAjZTsJYADYWcDwRERERGQeFVVimg+vdjQCDKW9NISrfRURERGRRaComvLz5PclTW+yT6S8JiIiIrJ4HdsLpw8s/H6P7lnQ3ZVCYlqd52sAGGPWA+vTFm+fU0QiIiIihfLoN+GHLw5m3/sXdnelkJjOVTPwd0EHISIiIpLRvo7Z1ykRpZCY+n1LQ2nLQ0ztd5pJB/C1tGXbgdvnGJeIlLB4PE4sFqO3t5d4PE4oFGLHjh00NzfT0NAQdHgiUipGjsOh77nyBU+HbX++sPtfux/46wXbXSkkpvFpllfP8FqStfYQcCh1maa5EZGZxONxampqCIVCtLa2Eg6HGRoaoquri8bGRlpaWojFYkGHKSKl4OC3YPysK9e8Hja9emH3PzSAEtMcWGsTxpgB3ECngZSXQkBOk/SLiGTDTzr3799PKDTRWNPU1ERzczPt7e20trZOek1EJC+PfNErGNj48kBDWQiLbrooY0ydMabfmybK1wbsSlknhEtUOxc6PhEpfX19fYRCoYyJZzQapampiaGhyT2J2tvbqampwRhDVVUV9fX1DAwMTFqntraWaDRKb28vtbW1GGOoqamhs3PqV1l3d/ekdZqbm0kkJiYnicfjNDY2UlVVNeN2RKSIjZ52NaYA654NK0r/trpFVWPq3Ua0GajzFnV5taFtaXdwCuOa6hMA1tpuY0y1MSYGDAI1uDtB6a5PIkXktp4THE6MBR1G0iWhct5Uvzrn9+3atYtoNEp9fT3RaJS6urrka+FwmI6OyQMVotEo7e3tNDU1UV9fTzwep6Ojg5tvvpnh4eFJ6/b29tLd3U0sFiMUChGNRmlubmbHjh1EIhHAJbnRaJSGhgZaW1uJx+O0tbXR29vL4OAgAPX19QDJrgYdHR00NzcTDocnxSsiRezw92D0pCtf9qpgY1kgRZWYWmvjQHSWdXqBqgzLVRUgUuQOJ8Z4+EjxJKb5amlp4ejRo3R2diYTwLq6Ourr62loaCAcnjyFciKRmNLvNBwO09jYSDwen7T+wMAAw8PDydrYu+66i6qqKvr6+pKJqZ+UdnV1Jd9XV1dHbW0t7e3tNDQ0JJPfpqYmABoaGmhubp6fAyIi8+ORL02UN74iuDgWUFElpiJS2i4JlQcdwiRziScWixGLxYjH4/T29tLT00M0Gs2YNKbWoCYSCfr6+qbUqvoikcikLgLp3QX85v/0JDMSiRAOh9m9ezctLS3J2tZEIpFMlqfbp4gUobFzcMCbNOiCG+G8y4KNZ4EoMRWRBZNPs3mxC4fDNDU10dTURCKRoK2tjfb2dtrb22lpaQFcf8/m5mb6+vpIJBLU1dVNOzAqvbY1XTwen3a9cDicfL2/v59YLEZbWxvRaJRQKMTOnTuTXQREpMg9/j8w4vVIvOyVgYaykBbd4KeFdPz0eNAhiEiRSSQSGGNob2+f8looFEo21+/evTu5vKamBnDN8tZaenp68m5W9xNSPwFNldotwK8hHR4eZnBwkNbWVjo7O2lsbMxrvyKywJKj8YGNSkwF+OR3T/CT353FWht0KCJSJEKhUDLpSx0F7/Ob2m+44YZJz6PRaLKPaOryXPmJZ3qz/MDAAPF4nBtuuIHe3l6qqqro7e1NvqelpYWGhgb6+vry2q+ILKDxMTjwFVcOXQdrtwYbzwJSU/4MzpyzfOYHJ+kbPMefPe881q5SHi8iLimsr69n8+bN7Ny5k9raWsA1n3d2diab92EikYxGo8m5Tbu6urjzzjsBN+2T3+SfDb9WNhqN0tjYyK5du5Kj8v0ENJFIkEgkaG5uJhqNUl1dTU9PD93d3cm4RKSIPfETOPO4Ky+R0fg+ZVozqPTS9nseHuH9dz7JA4+OBBuQiBSFuro6BgcH2blzJ319fckEsK+vj1gsRn9/f7IfZygUoqfH3eujsbGR5uZmQqEQw8PD1NXVEY1Gc649bWlpoaurKzlXaUdHBzt37qS/vz+5z/7+fsLhcDKB7e3tJRaLaQCUyGLwcEoz/hLqXwpg1Ew9lTEmAvT3/vCX9D2xjX2HR91y4OVPX8kLIyt021KRaezbtw+ALVu2BByJiKNrUhYVa+Grl8OpA7BmK7z4AQgw5xgYGPBbhWqttfn1QcqBakxnULW6nHe/fA0viqzAABb48i9O8+m7TjIypoReRERECuzobpeUgqstXWIVYUpMZ1FeZnjFM1bxzhevZuUyd3H8fM85/uWrxzVqX0RERApriY7G9ykxzdK1ly+j9VVruWitO2T7Do/yoa8cJ3FSyamIiIgUgLUTd3tadRlccEOw8QRAiWkO1leV81cNa9my3o2KOjQ8RvuXj3H0+OK/xaKIiIgELPFbOOH6RC/FZnxQYpqz1SvKuPXFa7jmskoAjhwbp/3Lx5WcioiIyNykNuMvsWmifEpM87C80vC2F63maZtdcjp0Ypx/+dpxjp1Ss76IiIjkyW/GX3ExXPjMYGMJiBLTPFWWG5qfP5GcPv7kOB/5+nFOnVVyKiIiIjk6tgeevMeVN74CysqDjScgSkznoLzM8Kb61Vy10fU5PXB0jI9/+wSjmkpKREREcpHajH/50mzGByWmc1ZZYXjrC9ew+WL3n82eg6N87ocn0Y0LREREJGt+YrqsCtY9N9hYAqTEtABWVBre8aI1XLDGHc6f3H+Onl+fCTgqERERWRROPgRD7pbCbHwZlFUGG0+AlJgWyJqVZbzjRatZ4V1L3T89zb0PjwQblIiIiBQ/f9ATLNnR+D4lpgW04YIKmm5ZjTHu9qWfuuuEJuAXERGRmfnN+BVr4JL6YGMJmBLTArvuimW8ZMdKAI6fttzWc4KxcfU3FRERkQxOH4IjP3XlDS+G8uXBxhMwJabz4A9rVyRH6u85OMrXd58OOCIREREpSge+gmtnZck344MS03lRVmZ4Y91qzl/lbiX2rYEzDB4eDTgqESmE3t5ejDF0d3fn/N5EIkF9fT3GGDo7OwseV3t7e8G2V1VVRTQaLdj2RGQaD3vN+OUr4dIXBBtLEVBiOk/Wrirj9TevBsBa+Mz3T3BuVE36IktZZ2cnvb29dHR0sHPnzoJuu6enh7a2toJuU0Tm2Zkn4PH/ceX1L4CK8wINpxgoMZ1HV19WyXOvcX1FDifG+cov1KQvItDU1EQoFAo6DBEJ2oEvgR1z5csbgo2lSCgxnWcNv7cqOb9p76/PsO+QppASKTW1tbVEo1F6e3upra3FGENNTc2k5vr6+vpk07gxJtnsPjAwQH19PVVVVVRVVdHY2EgikZiyj87OzknbTm22r62tpb29nUQiMaWbQHt7OzU1NRhjqKqqor6+noGBgUnbTl2ntrZ2yuu+7u7uSTE0NzdPiTUej9PY2EhVVVXG4yAiKR66w/0sXwEbXhJsLEWiIugASt2KZYY/e955/PNXj2OBz/3wFO9tXEtFuQk6NJGF95rXwP33Bx3FhO3b4fbbC7Kp3t5euru7icVihEIhotEozc3N7Nixg0gkQldXF21tbbS3tzM4OEh1dTXd3d00NjZSV1fHbbfdRjwep62tjc2bN7N///5krWp7ezvRaJSmpiZaW1vZvXs30WiU3bt309XVxV133UU0GuXOO++kv7+fcDgMQDQapb29naamJurr64nH43R0dHDzzTczPDwMQGNjI93d3cl1du/eTW1t7ZTfz4+hoaGB1tbWZKy9vb0MDg4m16uvd1PdtLa2Eg6H6ejooLm5mXA4TF1dXUGOtUhJOP3YRDP+pX8IlWsCDadoWGv1SHsAEcD29/fbQvnsD07YN378qH3jx4/a7959qmDbFSk2e/futXv37s38YiRiret2XRyPSCTn36+np8cCtqurK+XXiljADg8PJ5cNDw9bwHZ0dCSXxWIx6752nVAoZOvq6iZtf3Bw0AK2paVl0nb8576WlpZJ22ppabGhUGjSOk1NTVPe19XVZQE7ODho+/v7M267o6NjynLANjQ0TFrPf38sFpsUe+rv7MfR09NjgzLjNSkSlAc+bu3tuMeDdwQdzbT8zzkQsQuQg6nGdIG88hkruTt+jhNnLF/75Wl2bFlO9Wr1pJAlZvv2oCOYrIDxRCKRSf1GZ+tDGo/HSSQSNDc3T1oeDoeJRCL09vYC0NfXBzBlvVgsRmtr64z76OjoSJYTiQR9fX2TlvnbTt9OU1PTpP35TfvpMUQiEcLhMLt3707G7tcWJxIJGhoakrWmIpLmYb8ZfxVs+MNgYykiSkwXyOoVZbzq91bx2R+c5Owo3PHjk7zlBaq2lyWmQM3mxchvPs9WPB4HXFP6TNvz16uurp6yTjbJb3NzM319fSQSCerq6ia9x2+Cz7Sd1GV+DJl+x3A4nHwdoL+/n1gsRltbG9FolFAoxM6dO5NdHEQEOHUQHv9fV97wEo3GT6EquwX0zO3LqLnE/S8wEB9hz0ENhBJZqvwkr6Ojg/7+/imPnp4eYCIhHRoamvT+RCKRrFWdTk1NDQB33XUX1lp6enom1Xr6r2cabJW6LD1JThWPxyclrH4N6fDwMIODg7S2ttLZ2TltAi6yJD3cRXJS/St2BRpKsVFiuoDKjOHVz16VfN7101OMW81tKrIU+c3eg4ODRCKR5CMcDidH+INrLgemNId3dnZSX1+fMamEieb3aDSa3EbqciA5GCl9/tP0UfSpSXT6PuLxODfccAPgBoBVVVUlYw+Hw7S0tNDQ0JDsNiAiwMN3up8Vq938pZKkpvwFdsVFFTzjymX8fM85Hnx8jL5957hx69K+L67IUhWLxWhubiYej7Nr167kqPmhoaFkEugnd/50UP7IeX+0fWrzuF+LumPHjkkj81tbWwmFQnR1dXHnne4PYnd3Ny0tLTQ1NWXcdnp/2VgsRjQapbGxMRlrW1tbMj6AHTt2JPvNRqNRqqur6enpSY76FxHg5CPwxE9deePLoGJlsPEUGdWYBuDlT19JRbkrf+nnpxkZU62pyFLU1NRET09Pcu7PtrY2IpHIpCmfwCWwHR0d9PX1Jad3amlpmVSDuWvXLiKRCPX19fT29hIKhZLdARobG2lubiYUCjE8PExdXR3RaJSBgQE6OjqIxWL09vbS2NhIb28v/f397NixY1KsLS0tdHV1JWP1717V39+fXCcUCiVj95PY3t7eZPwiwkRtKcDlasZPZ6yakqcwxkSA/v7+/klNYIX0pZ+d4tt3nwFg502rqH/qinnZj8hC27dvHwBbtmwJOBIRR9ekFJXv3AhDu6HyfHjlY1Be3K2mAwMD/tzGtdbazHffKCDVmAbkBZEVrF7hJtn/9sBpzo7oHwQREZGSdiLuklKAjS8v+qQ0CEpMA7JqeRm3XO9qSY+ftvzw3jMBRyQiIiLz6uGuibJG42ekxDRAf3DdRK3pd+4+o1pTERGRUvaQN6n+siq4RLfozUSJaYBWVBrVmoqIiCwFT94Pw3e78mWvhLLKYOMpUkpMA6ZaUxERkSXgwZQ7313xx8HFUeSUmAZsRaXh+U+bqDX96f1nA45IRERECspaeOi/XXnlpbDuucHGU8SUmBaB516zgpXLXK1pz6/PMD6uWlMREZGScfQXbkQ+wBWvhrLyYOMpYkpMi8DKZYbnXOOmjDhybJyB+EjAEYmIiEjBpDbjb3pNcHEsAkpMi0TdU1ZQ7p2N7/7qNLrxgYiISAkYH5kYjb/2Kqi6Pth4ipwS0yIROq+Mp1+5DIAHHx9jz8HRgCMSERGROTvcC2ePuPKm14AxwcZT5JSYFhF/6iiA7/1KU0eJiIgsepOa8TUafzZKTIvIhuoKrr3czWv224dGOHJsLOCIREREJG+jJ+HAV1z5wmfC6s3BxrMIKDEtMs+7zg2CssAP79XUUSIiIovWga+65BQ06ClLSkyLzDWXV3LRWndafnzfWc6NahCUSDHp7OzEGJPxUVNTQ3NzM4lEIugwi1pVVRXRaDToMETmn9+Mbyrg8p3BxrJIVC45WP4AACAASURBVAQdgExWZgzPvWY53T87zcmzlt37znHT9uVBhyUiaVpaWrjhhhuSz4eGhujv76ezs5Pe3l4GBwcDjE5EAnfmCBz6riuvfz6suDDYeBYJJaZF6FlXLeervzzNyBj84LdnlJiKFKFdu3YRiUQyvtbZ2Uk8HiccDi9wVCJSNB6+E6w3VkTN+FlTU34ROm9FGTdudVNHPXRkjP2PaeookcWipqZmyrKBgQHq6+upqqqiqqqKxsbGjM39nZ2d1NbWJrsFtLe3T3q9qqqK5ubmScsSiQTGGLq7uyc97+3tJRqNUlNTQ1VVFfX19cTj8bxiq6mpIRqN0t3dnSy3t7dTU1ODMSa5/YGBgSnbT12vtrY24zoA3d3dk373TF0i4vE4jY2NVFVVJdfr7OzMuD2RwPnN+BXnwcaXBhvLIqLEtEj9wbUTU0f9730aBCVSbIaGhkgkEpMe3d3dtLW10dDQkKwt9RMugNtuu43W1lZ6e3vZvHnzpMSrvb2d5uZmduzYQVdXFw0NDUSjURobG/OKr7m5OZmcxmIx4vE4NTU1k5LTbGMDl8C+6U1voq6ujgcffJBoNEpdXR1dXV20trYSj8e5+eabJ72nsbFx0np1dXXU1tZO2XZ7ezuNjY2Ew2G6urpobm7mzjvvTMbm85Pf1tZWurq6CIfDyd9TpKgc2wtP/MyVN77CJaeSFTXlF6kr1lVw+UXlPHxkjF/uO8uuZ61ieaUm5ZVF7ievgWP3Bx3FhLXb4abbZ18vg/r6+ozLGxoa6OrqSj73k7menp5J69TU1NDW1kYsFiORSBCNRmlpaSEWiyXXAabUmmZraGhoUj/XnTt3Jgcd+fFlE5uvt7eX/v5+IpEIzc3Nk2IFCIfDNDY2JrswDAwM0N3dPeV38mtDU0Wj0SnHzU9i29vbaWlpIR6PE4/H6ejooKmpKbm99G2JFIX9n50oh/80uDgWISWmRexZ25fz30dOcXYE+gfP8Uz1NZXF7tj9MJy5KXex6ejomNKHtKuri87OzknJVCKRmJI8hcNhIpFIsqavr68PYMp6sViM1tbWvOLzkzdfKBSioaEhuc9sY/NFIpFkn9qOjo7k8kQiQV9f36Rlqb9TevxNTU2T9uk37afHEYlECIfD7N69OxlXKBQiGo2SSCSStdLp+xUJnB2H/f/pyqs2wro/CDaeRUaJaRG7cesy7vzpKUbH4Cf3n1ViKovf2u1BRzDZHOLZsWPHlMFPdXV1ySTNT0yBaZvj/cTWX6+6unrKOqFQKK/4MvV1DYfDyWb0bGPL9Dwej9Pc3ExfXx+JRIK6uropcfq1tZniT13mx5FpoFg4HJ7U9aC/v59YLEZbWxvRaJRQKMTOnTuJxWJ5HyeRgnvsB3DqEVfe/H+grDzYeBYZJaZF7LwVZUTCy/jl3nPsOTjKY4kxLg7pApdFLM9m88Vkx44dyQE5frLV0dHBjh07pqzrJ1N+Qjo0NDQpwfJrI+vq6qbdX6YBTUDG6aoSiURy+9nGlklNTQ11dXXcddddyeS8t7c3OQDLXyd9n6lx+FKT8/TkNB6PT0r+/RrSjo4O4vE43d3dRKNR4vH4pO4IIoGKpzTjb/4/wcWxSGnwU5FLnSrqJ/drEJTIYuI3Pw8ODiabwv0m6mg0mmwuz9REDm6Ufn19fTKRq66uZmhoaNI6d9xxR8Z9p49WTyQSdHZ2JpPcbGNL5ze9R6PRSUlj+mh7fz9tbW0zxpWaIKfvJx6PJ+eK7e3tpaqqKhlXOBympaWFhoaGZLcBkcCNHIdHvujKF/4erN0WbDyLUFHWmBpjmoAQkABqgA5rbeZqgcnvawD8f7kvAO6w1i7qDm3bN1ZQvbqMoRPj/PT+s7zsxpWUl2kQlEix8msK/RrAWCxGc3Mz8XicXbt2JQfwDA0NJZMxP8lqb28nkUhQX1/P7t27aW9vp6mpKVnjGIlE6O7upr29nUgkQk9Pz6RaylSJRILa2trktEv+vlIHLGUTWzo/kYxGo7S2thIKhejq6uLOO+8ESA54CofDNDU1ZfydUmtQQ6EQsVgsOQOBH0dbW1vyuICrifb7xEajUaqrq5O/f3p/WpHAPNwNY6dcebMGPeXFWltUD6AB6Ep5HgIGgVAW74ukLesCwnnEEAFsf3+/LQZf/cVJ+8aPH7Vv/PhRe89D54IOR2RGe/futXv37g06jHnT0dFhZ/p+6OnpsYBtamqatCwSiVjAhkIh29DQYAcHBzNu218vHA7blpaWSa8PDw/bhoYGGwqFktsZHh62gO3q6kquA9iOjg7b0tJiw+GwDYVCtq6uLuM+s4ktHA7bhoaGjO9JjbOurm7KsYnFYjYcDlvARiIR29/fb+vq6qb8bl1dXZO22dTUZIeHhyet4783FAol14vFYhnPQ6pSvyaliPQ819rbsfbzy609Ozzr6otBf3+/BWx6jjVfD2Ntcd2L3RjTD0Sttb0py7qAHmvttDMpG2N6rLX1acuaAGZ63zTbigD9/tQoQXv8yTH++vYnAfi9bct4/c2rA45IZHr79u0DYMuWLQFHsjQlEgmqqqomTau01OmalAVxYj98zWu0vXwXPOsLwcZTIAMDA/6cwrV2AVqhi6qPqTEmhKutHEp7aQiYdZZpL4FNVQ8s+s5H684vZ/PFbtDTQPwcZ0eK658JERGRJc+fIgo0d+kcFFsfU79/aPq9+hIpr00nCvQbYwaBZm/9ntmye2PMemB92uIim9MGnr51Ofsfc3Oa/uahc9ywRVNHiYiIFAU7PjEaf+V6uCTzDThkdkVVYwpMncQvu9fwEtB6vIQUaMyyCb8Z6E97FN2cNjdsWYY/5ukXe84FG4yIiIhMOPJjOLnflTe9FsqKrd5v8SiZI5fSDaAKaAJiXu1prbU2vQY2VQfwtbRl2ymy5HTtqjKu2ljJvY+McM/DI5w8M855K4rt/woRCVooFKLYxg6IlLz4ZybKGo0/J8WW2fh9S9Nndg4xtd9puruATmttwlrbjptmCiA2w3uw1h6y1g6kPoAiupn3hBu3LgNgbNzdolREREQCNnIcHnbTpVFdC6Frgo1nkSu2xHS6uUqrZ3gNY0wYGEqtGbVu3tN6YPpbpiwykfAyKr0bP/1irxJTERGRwD18J4yedOWaNwQbSwkoqsTUSywHmDrQKYTrN5rr9uLMkNAuNiuWGZ66ydWa7j04SuLkeMARiUxVVlbG+LiuTSke4+PjGKMbk8g82fcf7mf5Srji1cHGUgKKKjH1tAG7/Cde39Ew0JmyrM4Y0++95iegGGMm1Y4aY1pwo/VLxo4tLjG1wN1x1ZpK8amoqGBsbIyRkZGgQxHh7NmzjI2NsXy5ZjKReZC4B47+3JUvb4Rl6T0RJVdFN/jJWtttjKk2xsRwd3yqAeozDGAK45r4E9776o0xMWNMPXCUErklabprL69kWQWcG3X9TP/guhVBhyQyydq1azl58iSPP/4469evp6ysGP//laXg7NmzHDx4EHDXpUjBDX5qolzzxuDiKCFFl5jC7Hdq8u4KVZVheUnVjmayvNJw3RWV9A+OsOfQKMdOjbN2lf7wS/E4//zzGR4e5tixY5w4cYLy8vKgQ5IlaHx8nLGxMcDNVLBmzZqAI5KSM3Z2YlL9NVfCRc8KNp4SoYxmEaoNe835Fn61X835UlyMMVx22WVccMEFVFZWBh2OLFHl5eWsWbOGDRs2cMkll6iPqRTega/AOW/CoJo3gq6xgijKGlOZ2XVXLKOy/CQjY645/znXqDlfiktFRQXr1q1j3bp1QYciIjI/Br1BT6YCNv+fYGMpIaoxXYRWLDNcc7mribr/0VFOnNEIaBERkQVzYj8c7nXljS+FlRcHG08JUWK6SPnN+eMWfrVfo59FREQWzOCnJ8oa9FRQSkwXqadsqqTcO3u6C5SIiMgCGR+F+P/vyqs2wiW3BBtPiVFiukitWl7G1Rtdc/7vDoxw+pzujS0iIjLvDn0XTj/qyuHXQ5lmHikkJaaL2PVhl5iOjcN9j6g5X0REZN4N3uYVDIT/LNBQSpES00XsKVcsS5Y1bZSIiMg8O3UAHv26K19SD6s3BRpOKVJiuoiFzitj8zrXhPDbh0YYG1dzvoiIyLzZdxtYbyacrW8ONpYSpcR0kXvqJldrevKsZfDwaMDRiIiIlKjxkYlm/JUbYMNLgo2nRCkxXeSeunnizjq/1rRRIiIi8+PA1+D0IVfe8iYo0z2K5oMS00VuQ3U5F6xxp/FXD6qfqYiIyLzY++/upynX3KXzSInpImeM4ambXK3p40+Oc3h4LOCIRERESsyxPfDYXa688WWwakOw8ZQwJaYlwO9nCvBr1ZqKiIgU1t5PTpS3viW4OJYAJaYl4MpLK1i5zADwqwfVz1RERKRgRk/D/s+48pqtcPHzAg2n1CkxLQEV5YZrL3fN+YOHRzlxZjzgiERERErEw3fAuWFX3vJmMEqd5pOObom47gqXmFoL9+ouUCIiIoXhD3oqXwHh1wUaylKgxLREXHPZxLRR9zykxFRERGTOhgbg6C9d+fJdsLw62HiWACWmJWLtqjKuuMjdBereR0YYt7oLlIiIyJz4taWgQU8LRIlpCfH7mR4/bXnkiKaNEhERydvZIXjwdleuehpccGOw8SwRSkxLiJ+YAvz2YTXni4iI5G3wUzB22pWvfAcYE2w8S4QS0xISvriCVcvdB+ceJaYiIiL5GR+FPf/myssvhE2vDjaeJUSJaQkpKzPJQVDxx0Y5qWmjREREcvfo1+HUw668pdmNyJcFocS0xPjN+dbCfQdUayoiIpKzBz7mfppyDXpaYEpMS8w1Kf1M1ZwvIiKSo+HfwOP/48qXNcCqDYGGs9QoMS0x568q4/ILvWmjHta0USIiIjnZ87GJ8rZ3BhfHEqXEtAT5zflPnrIcOKppo0RERLJy5omJKaKqa+HC3ws2niVIiWkJuvaKieb8e9WcLyIikp3B/4CxM6585Ts1RVQAlJiWoPDFFazwctPfaQCUiIjI7MZHYe/HXXnFOrhiV7DxLFFKTEtQeZlh2waXme49NMq5UfUzFRERmdGBr8CpA668pRnKlwcbzxKlxLREXbXRJaajY7Dv0GjA0YiIiBS5Bz7qfpoK2PLmYGNZwpSYlqirL5voZ3rfI2rOFxERmdYTv4AjP3Hly3fCqkuDjWcJU2Jaoi4JlRE6z3XaVj9TERGRGdz/4YnyVe8KLg5RYlqqjDHJWtOHnxjj+GndnlRERGSKE/vhkS+68sV/ANWRYONZ4pSYljC/nynA/ao1FRERmer+j4L1Km+2q7Y0aEpMS1hqYnrfAQ2AEhERmeTcMMQ/5cprr4JLXxhsPKLEtJSdv6qMDdXu9qT3PTKC1e1JRUREJuztgNGTrrz9L8AoLQqazkCJu+qyCgCGTozz+JPqZyoiIgLA2DnY8zFXXrEONr822HgEUGJa8q5Oac7X6HwRERHPQ5+H04dceevboXxFsPEIoMS05G29tJJy7yxrPlMRERHA2okpospXwta3BBuPJCkxLXErKg01l7jm/PsfHWV8XP1MRURkiTvcA4nfunL4dbDiwkDDkQlKTJcAf3T+6XOWB4+MBRyNiIhIwH73Ia9gYNv/DTQUmUyJ6RJw1caKZPmBR9WcLyIiS9jRPjjc68obXwZrtwYbj0yixHQJuOKiCpZ7uen9SkxFRGQpu69tonx1a3BxSEZKTJeAinLD1ktdc/6+Q6OMjqmfqYiILEFP3g+PfNmVL74ZLrwx2HhkCiWmS8S2Da7K9NwoPPi47gIlIiJL0O9igFc5c41qS4uREtMlYtulE/OZ3v+oElMREVliTj4M+z/nytU3wMXPCzYeyUiJ6RJx+UXlrFxmAA2AEhGRJeh3/wzWq5i5phWMCTYeyUiJ6RJRXmbYut415w8eHmVE/UxFRGSpOHMEBv/Dldde5UbjS1FSYrqE+P1MR8Zg/2NqzhcRkSXigf8Pxk678tXvAaP0p1jpzCwh2zeon6mIiCwxI8dgz7+58nlXwKZXBxuPzEiJ6RKy8cJyVi1XP1MREVlC9n4SRp505e3vhrLKmdeXQCkxXULKjOHKS11zfvzwKOdG1c9URERK2OgpuP/Drrz8Iqh5fbDxyKyUmC4xfnP+6LgbBCUiIlKy9n4Szjzuyle9GypWBRuPzEqJ6RLjD4ACNeeLiEgJGz3lTagPLL8Qtr412HgkKxWzr7LwjDFNQAhIADVAh7U2nuV7W1KfW2vbCx/h4nVpdTmrVxhOnLE8oAFQIiJSqvZ1TNSWbn8XVK4ONh7JStElpsaYBqDeWtvoPQ8B/caYWmttYpb3dgE91tpO7/mwMSbhPxfXz3Tbhgr6B0fY//goZ0csyys1ybCIiJSQ0dNwn1cvtawarnxbsPFI1oqxKb8V6PCfeMnoALBzpjd5CW04LQntBHrnI8jFbJvXz3RsHPYdUq2piIiUmH2dcOawK1/1LqhcE2w8krWiSky92tEIMJT20hDQOMvbY6QlodbaaLZdAJaS7ZdOTJXxwEH1MxURkRIydmaib+myKrjy7cHGIzkptqb8sPczvck+kfLaTO896vUx9fum3mGtHShsiIvfJVVlnL/K8OQpqwFQIiJSWvbdBqcPufL2v4DKtcHGIzkptsS0Op/XjDERr3hDWt/U/V7f1GlrTY0x64H1aYu3ZxnvomSMYev6SvoGz/HQkTH1MxURkdIwdgbu+6ArV4bgyncEG4/krKia8gtgt1/w+qbGgegs72kG+tMet89XgMXiSm/aqDHNZyoiIqVi8FNw+qArb/8LWHZ+sPFIzoqtxtTvWxpKWx5iar/TVPG0n6nLd8yyzw7ga2nLtlPiyal/ByiAPQdHuPoy3aJNREQWsdHTcO8HXLkyBNveGWw8kpdiS0yna3KvnuE1rLUJY/JrirbWHgIOpS7Ld1uLyfqqiflM92pkvoiILHZ7P6Ha0hJQVE35KVNDpQ90CgE9s7y9F7ghbVkY6CtMdKWlzBi2rnf/l8QfG2Vk1AYckYiISJ5GjsF9ba68/ELYfmuw8Ujeiiox9bQBu/wn3iCmMG5OUn9ZnTGm33vNFwUaMrxvtj6mS9aV3rRRo2MuORUREVmU7v8onD3qyle3at7SRazYmvKx1nYbY6qNMTFgEDftU32Guz6FcU38Ce99A8aYZmNMh7csBMx6t6ilLLWf6d5Do8mJ90VERBaNs0fhd//syis3wNa3BBuPzEnRJaYAs91C1FrbC1RNs1x3esrSxgvKWbnMcPqcZc/BEWBl0CGJiIjk5r52GD3uytf+DVTob9liVoxN+bJAysoMW7x+poOHRxkdUz9TERFZRE4fgj3/6sqrw1Dz+mDjkTlTYrrEbfOa88+NwkNH1M9UREQWkXv+CcZOu/J174MydUlb7JSYLnFbL534EO85qMRUREQWiRMPwqDX8+/8a+CKVwcajhSGEtMl7vILy1nu9TRWYioiIovGPe+D8RFXfso/QFl5sPFIQSgxXeIqyg01Xj/TfYdGGBtXP1MRESlyid9C/LOuXL0DNr482HikYJSYCleud835Z0bgkSfGAo5GRERkFndHAa8i5foYLIE7Ni4VSkyFKzdMzBrmpo0SEREpUofvgkPfduX1L4RLnhdsPFJQRTmPqSysTesqqCyHkTHXz/SW64OOKM3oKNxzD/z613DwICQSUF4Oq1fD5s2wbRs85SlQoctZRKSk2XG4+y+9JwaeFgs0HCk8/SUXKssN4YsreODgKHsPjTJuLWVBN4uMjcG3vw233w7f+AacODHz+qtXw7OfDQ0N8MpXQig08/oiIrL4PPh5GL7blcOvg9B1gYYjhaemfAEmbk966qzl0aMB9jMdH4f/+i+45hp4yUvgC1+YPSkFt863vw1veANcfDG87nXw29/Oe7giIrJAxs7Ab/7alctXwlPeH2w8Mi9UYyqAP5/pGcA15192YQCXxj33QFMT/Oxnk5c/61nwghfAjTfCpk1QVeUS2OFhiMfh7rvhhz+E//kfOHfOPT77Wfd48YshFoOrr17430dERApnz7/ByYdcefv/hVUbg41H5oVqTAWA8MUVlHtXw4IPgLIW/v3fIRKZSEpXroRbb4UHH4T//V/467+G+nrYuhUuvBDWrXN9S1/4Qvirv4Lvfhceeww+/WmXwPq+8Q247jpoboYnnljY30tERArj7JC7yxPA8gvhqpZg45F5o8RUAFheadi8ztWS7j00irULNJ/puXPwZ38Gb30rjHgJ8ateBXv3wkc+Aldckf22QiG3rZ//3CWz9fVu+fg4dHa6WtM77nCJsIiILB73fgBGEq587d/CsvODjUfmjRJTSdrq9TM9ftpyeHh8/nd46hS8/OWuyR3gvPPg85+H7m7YsCH/7Rrjmv+/9z1Xk3qd1zn+yBH4oz+CV7xCtaciIovF8UHY86+uvLoGtjQHG4/MKyWmkuQPgAJ4YL6b80+dcv1Gv+3NRbd5M/zyly5xLKRbboH+fvjgB2H5crfsq1+Fpz7V9UsVEZHidve7YfycK1//QShfFmw8Mq+UmErSlksqKfNmidpzcHT+djQyAjt3uuZ2cCPwf/zj+RugVFkJ0aibB/UZz3DLDh6E5z0P/uEfXFO/iIgUn8PfhwNfceV1z4XLXhVsPDLvlJhK0oplhssvKgdg76GR+elnaq0bef/Nb7rn11zjai4vvbTw+0q3bRv86Efwnve45+Pj8Ld/6+Y+zWZKKhERWTjjozBwq/fEQO1HdevRJUCJqUxy5aWVACROWo4cm4eaxI9+FD7zGVe+/HLXB/SCCwq/n+lUVkJbm9vvhRe6ZV/+Mtx0Ezz00MLFISIiMxu8DRLefNQ1b4SqYrstocwHJaYyyaR+po8WuDn/Rz+Cv/RuJbd2rUsO5zLIaS5uuQV2754YGPWb38ANN8AvfhFMPCIiMuHcMPzmb1y5ci089R+DjUcWjBJTmWTLJRX4DSV7DxVwANRjj7l+pWPeXaX+8z9h+/bCbT8fmzbBT34CL3uZe37kiOt36g/IEhGRYPz2/XD2qCtf+7ewYl2w8ciCKXhiaozZbIx5lTHmlcaYTYXevsyv81aUseEC18+0YAOgrIU3vcklp+AmxPeTwaCtWQNf+hK0eJM1nzoFL32pS5xFRGThPXm/u8sTwJqtcOU7go1HFlTBElNjzPnGmL8ENgO9wF1AjTHm3caYtYXaj8y/bV5z/tHj4xw9Pjb3DX7mM/D1r7vyM58J7y+y+xuXlbnbln7kI+756Cj86Z/CP/9zsHGJiCxFd78LrFcx8rQPa3qoJSanxNQY8yZjzLunebnRWvsha+33rbVPeo+7rLX/DOyce6iyUPwBUFCAfqYPPwx//ueuvGqVm0y/vHxu25wvt94Kt9/uBkiB6w/793+vO0WJiCyUA1+Hg99y5UtugQ0vDjYeWXA5JabW2tuAG40xu40x6cPjTKame289ze+wiGxNGQC1Z64T7b/znXD8uCt/6EOwZcvctjff/viP3VRW553nnr/vffDe9yo5FRGZb6OnoP+drmwqoPYjmh5qCcq5Kd9auxO4E3izMaYtZfltQLsxZq8x5rveYy/Q6r0mi8SalWVsqC5AP9NvftPdZQngOc+Bt7ylANEtgPp6+M53YPVq9/wDH3B9UJWciojMn/s+CCcfdOXtfwHnz9NNV6So5dvHdNha+2bgLi8BfR4kk9ZbgHbvcYu1dldhQpWF5E8bdeTYOEMn8pjP9PRpeIfXYb28HD7+8cX1n++zngU9PW5aK3D9TW+9VcmpiMh8OLYX7ou58qqNcO3fBBuPBCbfxNQAWGt7rbXPB3YaY/7dW7bf61t6l7V2f6EClYW1bcNEP9O8mvPb22G/d/pvvRWuvbZAkS2gZzwD7roLQiH3/GMfU3IqIlJo1kL/O2D8nHse+QhUrg42JglMvonp0dQnXu3pbcaY7/m1p7K4bV2f0s801wFQhw+7xBTcrUb/7u8KGNkC27EDvv/9ibtTfexjbrorJaciIoXxyJfg0Hdd+ZJb4LJXBRuPBCrnxNQY80kmpoF6ozHmlQDW2gFr7S3ALcaYOzRF1OK2dlUZ66vc5fFArjWm73+/mw8U4J/+yc0Vupg97Wnwve/B+ee75x/8oPu9RERkbkZOwMCtrly2DHb82+Lq9iUFVzH7KhO82tAea+0X05Y/zVp7N4C19j3GmAjQbYz5pLX2S4ULVxbSlZdWcmj4LI8/OU7i5Dih87L4P2bPHujsdOVrr4U/+ZP5DXKhRCJuQFR9PZw4AX/zN7ByJbzrXUFHJiKyeN3zD3DqgCtf1QJrtwYbjwQu1xrTcHpSCuAnpSnP/drTGtWeLl7bUqaNyrrW9L3vnbjt6Ac/WLxzlubjGc+Ab3zDJaQA7343fOITwcYkIrJYPXkf3P8vrnzeJrimNdBwpDjkmpgOG2PajDHXG2PWeo/rjTFvzLSytfZDwHuAHXOOVBbclakDoLLpZ/qrX0FXlys/5znwohfNU2QBeu5z4StfgWXenUje9jZ30wAREcmeHYdfvGniDk+1H4OKVcHGJEUh1wn2vwj0Ad1AAtgPtOJuQTrde/Zba78/lyAlGOevKuPikLtEshqZ/4//OFH+wAdKt5/QLbdAdzdUeDXKb3jDxC1XRURkdvs64ImfuvLGV8DGlwQbjxSNfCbY/6K1dou1tsxae4G1dpe19sF5iE2KwDbv9qSHE+McOzXDfKb33gtf9Hp5PO95cNNNCxBdgF7yEvjc51zyPTYGO3fCj34UdFQiIsXv1KNwd9SVK9e6AU8innyni5Il4sps+5l+4AMT5fe+dx4jKiK7dsG/eV+oZ87AS18Kv/51sDGJiBS7vnfAqHer6utjsOrSYOORoqLEVGZ05aWpE+1P08907174whdc+aab4Pd/f/4DKxZvfevEPK1PPgkveAHE48HGJCJSrB75Mhz44ixJ2QAAIABJREFUsitfdBNsaQo2Hik6SkxlRlWry1h3vt/PdJrE9IMfhHGvmf+97y3dvqXT+bu/cwkquJsL3HKL+ykiIhPOPQl9b3Plskq4sROM0hCZTFeEzMqvNT04NMbx02n9TA8fdn0tAWpr4fnPX+DoioAx7o5Qu3a554ODrub0ySeDjUtEpJj86j1w+pArX/1XcP7VwcYjRUmJqcwqtZ/plFrTf/93OOfd3/hd71p6taW+8nL4z/90E/CD62v60pfC6dPBxiUiUgwe/zHs+6Qrr92uOUtlWkpMZVaTE9OUAVBnzrjEFGDjRmhoWODIisyyZfClL8ENN7jnP/oRvOY1EzccEBFZikZPwS9eP/H8xtugfHlw8UhRU2Iqs7pgTTkXrs3Qz/T22+HIEVd++9uhsjLDu5eY1avhW9+Cbdvc8y9/Gd75TrA22LhERILy6/fC8b2uvPWtsO5ZwcYjRU2JqWTFrzU9cHSME2fGXaL1kY+4F1etgiaNrEy68EL4znfgkkvc8098AmKxYGMSEQnC4z+GBz7qyudtdtNDicxAialkJXXaqL0HR6G3102qD/C610FVVTCBFatNm+Db34Y1a9zz1lbXB1VEZKkYPQU//zPAazF6xqehcnWgIUnxU2IqWdmW3s/031Lu1PHnfx5ARIvA9de7pny/i8Mb3gDf/W6wMYmILJRf/xWc2OfKV74dLv79QMORxUGJqWTlwrXlVK92l8uh3z4E3/iGe+EFL4ArrwwwsiJ3883wmc+48ugovOpV0N8faEgiIvPu8f+FBz7myqvDcP0Hg41HFg0lppI1v59pzTc+OzGhfnNzgBEtEn/8x/ChD7nyyZPwohfp7lAiUrpGT05uwn/6p6HivEBDksVDialkbduGSsrGRnnWT//LLbj0Unjxi4MNarF417vg1ltd+fHH3Y0I/BkNRERKya9a4cSgK1/5Drj4ucHGI4uKElPJ2pWXVnDdPd+jKuHdueONb4SKipnfJI4x8OEPw86d7vm+fS6pP3ky2LhERArp4Hdhz7+68uowXN8WbDyy6CgxlaxdtLaMup99BoBxU+YSU8leWZkbmf/7v++e//KX7jamo6Mzvk1EZFE48wT8/HWubMrg9/5LTfiSMyWmkjXz4INsu+f7APzmuls4tW5DwBEtQsuXu5H6113nnn/zm/DmN2sCfhFZ3KyF3c1w5rB7fvVfwUXPDDYmWZSUmEr2/uM/MF4C9cObXsfeQ6rpy0so5OY4vewy9/xTn4L3vS/YmERE5iL+GXjkS65cvQOu+9tAw5HFS4mpZGdsLDnt0dGqjdx79fO4/9GRYGNazDZscMlpKOSev+990NkZbEwiIvk4EYf+d7py+Sp45u1QpltUS36UmEp2envh4EEA7n7uH2PLyrn/gGpM5+Saa+BrX3PN+wBveQt8/evBxiQikovxUfjpn8DoCfc88i+wVnNbS/6UmEp2/EnigSdf9RoADhwd49ip8YACKhHPfjb893+7Ufvj424w1M9/HnRUIiLZue+D8MRPXfnSF8OWpmDjkUVPianMbnjYDdgBeM5z2HDjtuRLD6g5f+5e+Ur4mHeHlNOn3TRSDzwQbEwiIrM58hP47d+78op18IxPuX+yReagKBNTY0yTMabF+xkzxoTz3Ib+dSuEO+6As2dd+XWvY/uGib5D9z+q5vyCePvb4T3vceWjR92tXg8dCjYmEZHpnB2Cn7wa7Jh7/vRPu+RUZI6KLjE1xjQA9dbadmttJ9AG9BhjQjlsIwx0zFeMS47fjL9qFTQ0EDqvjPVV7tL53QHVmBbMBz4Af/Inrvzgg+7WpceOBRqSiMgU1rpbjp56xD3f/hew4Q+DjUlKRtElpkArKUmltTYBDAA7c9hGA6CbkRfC734Hv/iFKzc2wpo1AGzf6GpNjxwb5+jxsaCiKy3GuKmjbrnFPf/Vr+DlL4czZ4KNS0Qk1Z5/hUe/5srVN8BTdXcnKZyiSky9WtEIMJT20hDQmOU2GoDuAoe2dH32sxPl170uWbwqtTlfo/MLp7ISurthxw73/Ac/gNe+1k3XJSIStKF+uPsvXblyLTzrC1C+LNiYpKQUVWIK+H1JE2nLEymvTctLbKuttaotLYTRUXcLTYBNm+A5z0m+tG1DRbKPu5rzC2zNGvjWt2DrVvf8i1+Et71Nd4cSkWCNHIMf74Lxc+75jbfB6pyHgIjMqNgS0+o8X/M1ef1Ss2aMWW+MiaQ+gO25bKNk3XXXxACcP/1Td693z6rlZVx+YTkA9z86glXSVFgXXQTf+x6sX++ed3TA3/99oCGJyBJmLfzyzXBi0D3f0gxX5NLDTiQ7xZaY5m0OTfjNQH/a4/YChrZ4ff7zE+XXvnbKy1d5/UyfPGU5NKz5TAtu0yb4znfg/PPd8/e/Hz7xiUBDEpElal8nPOT9TQhdB5GPBBuPlKxiS0z9vqXpI/BDTO13mjTHJvwOoDbt8Zo8tlNazpyZmLv0hhtgy5Ypq/iJKaDbk86XpzzF3Q1qxQr3/O1vhzvvDDYmEVlanvjl5FuO3nQHVKwMNiYpWRVBB5BmusSyeobXwI3YrzHGxFKWhYFGY0wN0OaN7p/CWnsImDRhpNEEwa6mzp+q6I/+KOMqNZdUUFEGo+Oun+nzrluxgAEuIc9+tptL9pWvdIOgXvtaqK6GurqgIxORUnfmCfhxw0S/0qd/Cs6/KtiYpKQVVY1pytRQ6b2pQ0DPDO/rtNZGUx+4AVNd3vOMSanM4AtfmCjvzNyPaHmlIXyJ+99mz8FRxsfVz3TevPSl0Ol1nx4ZgVe8Avr6go1JRErb+Bj89NUT85Vu+3PYlLmiQqRQiiox9bQBu/wnXjN9GOhMWVZnjOmfZdL9rCfklzQnT7rmY3C1dRs3Truq35x/6qzloSOa0mhevf710ObNF3jihJuAf+/eYGMSkdL127+Fw72ufNFN8LQPBRuPLAlFl5haa7txd3qKebcUbcXdCSq91jNMhpH6XtLa5T2NpjXvSza+/nU4dcqVp2nG923fMNEbRP1MF0A0Crfe6spHjrjJ+A8eDDYmESk9B74G937AlVdcDDfdCWWVM79HpACKrY8p4JrmZ3m9F6ia4bXe+YhryfCb8cvKoKFhxlU3ratgeSWcHXH9TF8YUYf4eWUMfPjDLim9/XZ369LnPx9++EPX71REZK6O74OfebdHNuXwrDth1aXBxiRLRtHVmErAEgn49rdd+eabYd26GVevKDdsu9T9F7330ChnR9TPdN6VlcGnPw0veIF7fs89rnz8eLBxicjiN3IcfvRyN5k+wPUxWPecmd8jUkBKTGWyr3wFznmjL2dpxvddc7lLTEfHYM9BNecviGXL3K1Lb7rJPd+9G17yEjh9Oti4RGTxsuPw09fCk/e655c3wva/CDYmWXKUmMpkfjN+ZaUb+Z2Fay6b6Hd07yNKTBfMeefBN78JkYh7/sMfwqteNfGPhYhILn7z/9q78/io6nv/46/vzGQlgQQIO7JviogBFBF3xJW6om1te6ut0Hrtr623det2e1trsddae6+tdbnW9loX6HXXKriiAlaigAooICD7EkII2WfO74/vGWaykpCZnJOZ9/PxOM5ZZz4eZiaf+a4/ha3P2PWC42DqQ6DhE6WTKTGVmN27YZHbPPfcc6Gw2Wa8TfTpEaB3d/tW+mizEtNO1aOHHXN2nDuu4IsvwlVXQX29t3GJSNey6XH46Da7nlUEpz0NoW7exiRpSYmpxPz973YAd2hzNT7YCQmipaY7yiLsPaBhozpVUZH9QTHcHf53wQK49lqIaJpYEWmD0uWw9Gq7HsiAU/4Pug3xNiZJW0pMJSZajZ+TYwd0b4f46vyPVZ3f+QYMsMnpwIF2+89/hu9/Hxx1RhORVlTtsJ2dwm779Ml/gD7TvY1J0poSU7G2boU337Trs2ZBXl67Lh8zMETAbYqkdqYeGTbMJqe9e9vt3/8efvITb2MSEf8KV8PiS6Fyi90e/R0Y+U1vY5K0p8RUrPnzY6Vr7ajGj8rNChyannT1lnrCmp7UG2PHwssv27anALfdBvM0x4SINOJEYMnXYc8Su933LCj+rachiYASU4mKVuPn58N55x3RU0Sr8ytrHDbuUucbzxx/vO0E1c3tuHDzzXDXXd7GJCL+suLHsPlxu54/CqY/DgFfzrkjaUaJqcBnn8GyZXb9kksgO/uInqbBsFHqne+tk06Cp5+O/VvecAPcfbe3MYmIP6x7AD6+3a5n9YbTX4CsXt7GJOJSYirw+OOx9SOoxo8aUhQkL9s2NP34c5WYeu6ss2xympVlt7/3PbjnHm9jEhFvbX8Z/vktux7IglOfhvyR3sYkEkeJqcSq8Xv2hBkzjvhpAgHDuEG21HTDrnoOVmu4Is/NnAlPPmlnigK4/nq4915vYxIRb5StgsWXg+MO6Tftr1A0zduYRBpRYpruVq+GFSvs+uWX2xmfOiBane84sGarSk194bzz7Bi10X/bb38b7rvP25hEpHNVboPXz4f6A3Z74jw75aiIzygxTXcJqsaPOuaoWGK7apOmxvSNCy+0Iy+E3M4Nc+fC//yPtzGJSOeoLYPXz4sNCzVyDoz7obcxibRAiWk6c5xYNX6/fnDqqR1+yoJuAY7qHQRg1aY6Ihrg3T8uugieeAKC9t+Hb34THn7Y25hEJLnqq+DNi6Bspd3ufy5MvgeM8TYukRYoMU1nK1bA2rV2/YorYglLB00YaktNy6scNu3S9KS+cskl9sdIMGh/mFx9tUpORVJVpB7e+RLscidP6XUCTJ+vYaHE15SYprNoaSkkpBo/6tghmYfWV6o6338uvxweeQQCAZucfuMb8Mc/eh2ViCSS49je91uettvdx8Bpz0NG+2b1E+lsSkzTVXw1/pAhMHVqwp56aJ8g+Tm2mmjlJo1n6ktXXmn//aNtTq+7ToPwi6SSFT+C9Q/a9ZyBcMbLkN3b25hE2kCJabpatgw2bbLrV16Z0PZGAWM4doitzt+8O0zZQQ0b5UuzZ8OCBbGhpG64AX79a29jEpGOW/O72AD6mYVw5svQ7ShvYxJpIyWm6SpJ1fhRE+Kq89U738cuuqjhDFG33AL//u+2RF1Eup71D0HJ9+16MMdW3/c42tuYRNpBiWk6Codt72yA0aNh4sSEv8TRgzMIuu8uVef73LnnwvPPQ26u3f75z22CquRUpGvZ+Cgs+4ZdNyGYvgCKTvI2JpF2UmKajhYvhu3b7foXv5iUYUNyMg2jB9j2ix9/XkddvZIcXzvzTHjpJcjPt9vz5sH3v6/kVKSr+PxJWPJVwAETgGmPwMDzvY5KpN2UmKajRx+NrV95ZdJeJlqdX1sPa7ep1NT3pk+HhQuhRw+7fffdcM01UK8ZvER8bduL8PaVsalGT3wIhlzhbUwiR0iJabqpq7MdXgAmTICjk9f2KDqeKcDKjUpMu4QTT4RXX4Vevez2n/9sh5eqrvY0LBFpwY5XYfGlEHG/Y6fcC8O/5m1MIh2gxDTdLFoEpaV2PQmdnuL16RGkb4F9i63cVIejauGuobjYNvcYNMhuP/00nHcelJd7G5eINLT7bXhjFoTdH47Fv4NRc72NSaSDlJimmyT3xm/sOLc6f++BCJ/v0SxQXca4cfD227ZzHMDrr9t2qLt3exqWiLh2vQWvnQvhSrt93O0w9rvexiSSAEpM00l1NTz5pF0/8UQYNizpL3n88Fh1/vufadioLuWoo+Ctt2wJKsDy5bYd6ubN3sYlku52vgGvnwv1FXZ7/E/gmJu9jUkkQZSYppMXX4QDB+x6J5SWAgzvF6JHru31X7JB7Uy7nKIieO01OP10u/3JJ3DyybB6tadhiaStHa/C6+dB/UG7Pf5ncOzPvY1JJIGUmKaTaDW+MXbWn04QMIaJw2x1/rbSMDvKVJ3f5XTvbn/UXHSR3d6yBU45Bd55x9u4RNLN9oXwxgUQrrLbE34BE/49KUP+iXhFiWm6qKiAZ5+166eeCgMHdtpLHz8sNgvU+xtUnd8lZWfb0Ry+/nW7vXcvnHVWrGmIiCTXtn807Oh03O0w/sfexiSSBEpM08Uzz0CV+yu7k6rxo8YMDJGbZX/Rq51pFxYKwf/8j50VCmyb5csug9//3tu4RFLd1ufgzYsgUmO3j/+N2pRKylJimi6ig+oHg3Zcyk4UChomDLGdoD7bGWZfRaRTX18SyBj41a/g3nshELAzQ333u3DDDRDRv6tIwn32CLx5MUTcH/XFd8G4H3gbk0gSKTFNB6WldrpJgLPPht69Oz2E44fHqvM/UKlp1zd3rh3fNDfXbt91ly2J10D8Iomz9r9hyVdiMzpNvgfGfs/bmESSTIlpOvj73+2MTwBf+pInIRwzOIPMkF0vUTvT1HDhhfDGG9Cnj92eP9/+8IlO4CAiR8ZxYNUvYPl37LYJwkn/C6Ov8zYukU6gxDQdRKvxs7Ph4os9CSErw3DMYFud/8m2eiqqVe2bEiZPhqVLYcwYu/3WWzB1qh1WSkTaz4lAyfdh1U/tdjAbTn0Khl3lbVwinUSJaarbts3O2gNwwQV26B+PFLvV+RFHvfNTyrBhdpaok0+2259+aidwWLTI27hEuppIPSy9BtbebbdD+XD6P2Dghd7GJdKJlJimuvnzbbUQeFaNH3XcsExCQbv+z3VKTFNKr142Eb3KLdUpK4Nzz4U//tHbuES6iroKeOML8NnDdjurN8x4Hfqe5mlYIp1NiWmqi1bj5+fD+ed7GkpOZqx3/pqt9eyvVHV+SsnOhr/+FW67zW6Hw3DddXD99VBf721sIn5WtQMWnQbbX7TbuYNgxmLoWextXCIeUGKayjZsgGXL7Poll0BOjrfxACeMygJsIe7y9So1TTnGwK232g530R7799xjfxTt2+dtbCJ+tH81vDwV9pXY7YIJMHMp9BjrbVwiHlFimsqiU5BCpw+q35LxR2WQZQtN+eenSkxT1qWX2o5QgwbZ7YUL1SlKpLFdi2HhyXBwk93udzacvRhyO29mPhG/UWKayqLV+L16wYwZ3sbiysowTBxqO0Gt21HP3gNhjyOSpDn+eHj3XTjhBLv9yScwZYqdhUwk3W16Al6dAbVuTcKwf4HTn4cM7zqoiviBEtNU9eGHdgGYPRsyMryNJ86UUbHB9t9TJ6jU1r+/HRUi2vGuvBwuugh+9jPNFCXpyXHgo1/B21fGZnMa/1OY+hAE/PM9LeIVJaapKlpaCp73xm/smMEZ5GYZQL3z00JODjzyCNx5p50SF+A//gNmzVK7U0kv9VXwzlWw4kd22wThxAdgws9t+2wRUWKakiIR+Nvf7PrAgTB9urfxNBIKmkNjmm7aHWZnmarzU54xcMMNtq1pUZHd98ILtmp/1SpvYxPpDFXb4ZXTYZNbaJBRAKe/CCO+4WlYIn6jxDQVvf02bNxo16+6CgL++2eeMjJWnb/0kxoPI5FOdcYZsHy5nTEKYP162ykqvqOeSKopLYF/TIG979rt/NFwzjLof7a3cYn4kP8yFum4v/41tv7Vr3oXRyvGDgxR2M2+/d5ZU0skOgmApL7Bg2HxYrjmGrtdWWmbm1x/PdToR4qkmM0LYOF0qNpqt/vNgHOWQvfR3sYl4lNKTFNNVRU88YRdP/54GD/e23haEAgYpo6xpaalFRE+2aYB2NNKdjY88ADce2+sY94998C0abYUVaSri4Thg1vhrdkQrrL7Rl9vq+8zC72NTcTHlJimmmefhf377bpPS0ujpo3JOrT+zhqVlKUdY2DuXNv0ZOhQu6+kBIqLYcECT0MT6ZDqPfD6ufDx7XbbBGHKH2Hyf0Eg5G1sIj6nxDTVRKvxg0Hf9cZvrF9hkOF9bS/tkvW1VNepOj8tTZkC779vZycDO6TU7Nmq2peuae978I9JsGOR3c7uC2e9CqO+5W1cIl2EEtNUsmsXvOjOtTxzJvTr5208bXCSW2paU68pStNaQYGdxvTuu1W1L13X+gdte9LKzXa79zQ4twT6nOptXCJdiBLTVPLYYxB2h1762te8jaWNpozMJOQObblE1fnpzRj4f/+vadX+8cfDww/bgclF/ChcDcuuhWXfhIj7PTb6O3DWa5A7wNvYRLoYJaap5C9/sY/5+XZ2nS6gW3bg0BSla7fVs7tcY5qmvWjV/qWX2u0DB+DrX4crr9SA/OI/5Wvhpamw/gG7HcyBk/4Kk38PwczWrxWRJpSYpoqPP7bjQ4Jtn5eT42087TBtbOzL+62PVWoq2Kr9BQtsr/3oe3n+fJgwAV57zdvYRKI2PGzbk5atsNt5I2DmUhj2FW/jEunClJimimhpKfi+N35jxwzOoGeefSu+tbqG+rCqbIVYr/1oT32ALVvgrLPgppugVm2SxSN1FbDkX2Dp16H+oN131JVw7nIonOBpaCJdnRLTVFBfb9vgAQwZAqd2rYb2gYDh1KNtJ6jyKocVG+s8jkh8ZexYWLLEJqPG2Lamd9xhZ4z6+GOvo5N0s28FvDQZPnMLA4LZcML9cPKjkNnD29hEUoAS01TwwguwY4ddv/pqX05Bejgnj8si6Ib9xkfV3gYj/pOZCb/+Nbz6KgwaZPe9/74tSb3jjlinP5FkcSKw9vfw0om2XSlAj6PhnH/CyG/aH00i0mFdL4ORph580D4aYxPTLqigW4DjhtphglZvqWdnmRINacbpp8PKlbYjFNhxTm+6CU4+Gdas8TQ0SWGVW+C1c2D5d2O97kd8wyalBf6cXU+kq/JlYmqMmWOMudF9nGeMGd7G6250z59vjFnY1uu6tO3b4fnn7frMmXDUUd7G0wGnHZN9aP1NdYKSlhQW2qHRHn8cevWy+5Ytg4kT4Te/UempJNbGx+D5Y2MD5mf0gGl/gxMfgFCut7GJpCDfJabGmMuBsx3HucNxnPuA24GFxpiCw1w3D1jgOM5NjuPMBhYC61M+OX344dgf4m9+09tYOmjsoBBF3e1b8p01NdTVqxOUtOKKK2wb08sus9s1NXDjjXDKKbB2rbexSddXuw/e/hK88yWoK7P7+p4J56+Cof6eVU+kK/NdYgrcAvwpuuE4ThlQAlxxmOvmAMVx193hrt6U6AB9w3Fi1fi9e8MXvuBtPB0UMIbTjrGdoCqqHd79VL2u5TD69LHDSD36KPTsafctWWJLT+fNgzp1pJMjsH2hLSXd9JjdDmRB8V1w5kLoNtjb2ERSnK8SU7dUtBgobXSoFJjdhqdoXDq6oZl9qePNN2HdOrv+ta/ZDiJd3PRxWWSG7PrCFdU4mu1HDscY+OIXbenpJZfYfdXVcPPNMHmyreYXaYvaMjt702szoWqr3Vc40Q4DNfZ7YHz1J1MkJfntUxZNIssa7S/jMAmm4ziFcaWk8c+3obXrjDH9jTHF8Qswtj1BeyZaWgrwjW94F0cCdcsOMG2MLTXdWhpm9ZZ6jyOSLqNvX/j73+Fvf4OiIrtv5Uo46SS4/nooL/c2PvG3Lc/C88fY+e7BJqFH3wIzl0HBMd7GJpJG/JaY9jzCY024bVUB5h3m1LnA8kbLI+15LU/s22erMMGO53j00d7Gk0BnTYh1glq0QkNHSTsYA1/6EqxeDddcY/c5Dtxzj/2MPPmkt/GJ/1Tvhre/DG9+Aaq22X09joGzl8DEX2laUZFO5rfENCHcJgH3YztRtVpiim3POqnRclVyI0yAhx6y1ZUA117rbSwJ1q8wyLFD7NBRqzbXsX2fellLO/XqZWsUXnsNRo+2+7ZuhUsvhYsvhs2bvY1PvOc4sOlxeP5o2PSo3WdCMP6ntuq+9wnexieSpvyWmEbbljbugV9A03anrbkfuNZxnEWHO9FxnO2O45TEL4C/B0SMROCPf7TrhYW2fV2KOfu4WKnpKytVaipH6PTTYcUK+MlPIMP+2OHpp+1sUr/8ZezHnaSXig3w+gXw9hehZo/dV1gM574HE34OwSxv4xNJY35LTFsq3ezZyrEGjDE3Ao87jrPA3W51mKkuaeHCWKena66B3NQbS2/swBCDegUBWLK2hvLKiMcRSZeVnQ3/8R/wwQcwfbrdV1Vlk9VjjoHnnvM2Puk84Rr48Je2Len2F+2+QBZM/DWcswwKj/M2PhHxV2IaNzRU445OBdhxSVvltivdEE1KXXMSF6FP3HNPbP1b3/IujiQyxhwqNa2th0UqNZWOOvpoO5LFX/4C/frZfRs2wKxZcMEF8Omn3sYnybXjVXjxOFj5Ewi73yd9z4TzV8DRN0Eg5G18IgL4LDF13Q5cGd1wSzyHA/fF7ZthjFkeXxpqjJnhXtfTnTFqjlt62qvzQu8EGzfGSnjOPRdGjvQ0nGQ6YVQmvfLtW/S1VdUcrFapqXSQMfDVr9oB+P/t3yDkJiMvvADjx8Ott0JFhbcxSmJV7YB3vgKvnhWb4z67n5296cxF0H2Mt/GJSAO+S0zd0s6F7tSic7AD7p/tlqbGG07DnvrzgcuxnZmiyzzgn8mPuhP96U+20T7Av/6rt7EkWShoOK/YlppW18GrqzRNqSRI9+7wn/9ph5OaMcPuq62F22+HUaPggQc0tWlXF66F1f8Jz42BjdGBVgyMvh4uXGNnbzLG0xBFpCmjAcybcscyXb58+XKKi4sPe36nqamBQYNgzx4YMgTWr4dg0Ouokqou7HDr/5ZRdtChW5bh118tIDtTf0wkgRwH/u//4IYbGvbWHz/eJq/nnONdbNJ+jgNbn4OSG6BiXWx/z0kw5V7oNdm72ES6oJKSEiZNmgQwye0gnlS+KzGVVvztbzYpBfj2t1M+KQXICBrOmZgDwMEahzc+UltTSTBj4LLLYM0auO02yMuz+z/80DaXOeccWLXK2xilbco+gtfOsWOSRpPSrF4w5Y92oHwlpSK+p8S0q3AcuPNOu56bC9/8prfxdKJTjs4iP8eWkr70QTXVtSrllyTIybFtTNets50KA+7X48tTr0JcAAAgAElEQVQvw8SJ9jO3dau3MUrzavbCP6+3nZt2uP1kTQjGfB9mrYNR34JA6v+QF0kFSky7ipdego8+sutXX20HEE8TWRmGcybatqYHqhwWajYoSaa+fe04watW2d76YMcOfvBB29nwBz+I1VyIt+or4aNfwzMj4NN7wHHbBQ84Hy74ECb9FjJTb8RAkVSmxLSriJaWGgPf+563sXjgjGOzKehmS01f/qCKA1XqoS9JdvTRdgSMRYvgOHd8y+pq+1kcPhx+9jPYv9/bGNNVpB7W3Q/PjoIVt0Cd++/QfSyc/iKc/rx624t0UUpMu4IVK+wfR7DTKabwEFEtyQwZZk22bU2r6+DFEpWaSic56ywoKbFtvKOfvQMH7KD9w4fDb34DlZXexpguHAc+fxJeGA/vzonNbZ/dFybfA+evhAHnehujiHSIEtOu4Le/ja3/2795F4fHpo3Nok8Pd1zTD6spPaDhfKSTBALwpS/Bxx/DfffBwIF2f2kp3HijTVj/+781xWky7XwdXp4Giy+NjUcayoNj/8O2Ix19HQQyPA1RRDpOianfbdkCjz5q1088EaZN8zYeD4WChotPsKWm9WF46t0qjyOStJORAddeaztI3XUXFBXZ/du3w3e+Y0tQ77pLJaiJtOtNWHQGvHIG7F1q9wUyYMx34Qsb4NifQEaetzGKSMIoMfW7O+6Aujq7/oMfpP2A0JNGZnJUke1du2RtLZ/trPc4IklL2dm2rfeGDfDLX0KPHnb/9u12PNShQ2HePFvlL0dm12J45UxYdBrsej22f+hVcOFamPQ7yC7yLDwRSQ4lpn62Ywfcf79dHzsWLrnE23h8IGAMX5yee2j70bcOEtEkEeKVvDz40Y/sVMG/+AX0dCej270bbr7ZJqi/+AWUNZ64Tlq06y14ZQYsOhV2vhbbP/hyOH8VTPtfyBvmXXwiklRKTP3szjtjbdZ+9KO0GFC/LUb1z+CEUZkAfLYzzLJPaj2OSNJeQQH8+Mc2Qb3jDujTx+4vLYWf/tTO1HbTTRoHtSWOAzsWuQnpKbDzldixwZfBeSvglPlQMN67GEWkUygx9as9e+xYigAjRsAXv+htPD5z2dQcMkN2/e9LKjXovvhDfj788Ifw2Wfwu9/BgAF2f3m5TViHDYOvf93OKiUQCcPmBfDSFHj17IYJ6aBL4LwP4JQFUDjBuxhFpFMpMfWru+6Cgwft+q23QijkbTw+0zM/yHnFtiPU/kqHp/+pzibiI7m58N3vwvr18Ic/2E5RYNuLP/wwHHssnH8+vPaaLS1MN+EaWPcAPD8O3poNpcvdA8ZNSN+HU/8PCo/zNEwR6XxKTP1o7174r/+y60OGwFe/6m08PjVzYjZF3e1b+JWVNeoIJf6TnQ3f/jZ88gnMnw8nnBA79uKLcOaZMHmyHXmjNg2apNTuh9X/Cc8Mg3evhQOf2v2BDBh+DVzwsZuQTvQ2ThHxjBJTP7r99lhv3ltvtUPUSBOZIcNXT+8G2EKnv7x+kPpwGpY+if8Fg3D55bB0KbzxBsyaFTtWUgJf/rL9Efrzn9ue/amm/FN47zvw1CB4/4dQ5f4/hrrB2BvssE9TH4QeY72NU0Q8p8TUbz7/3A7UDXbQ7quv9jYenxs3KINpY21HqC17w7z8gQY4Fx8zBk49FZ55xg7W/41vQKZ9/7JjB/z7v9sE9ctfhiVLunY1f7RD0+uz4Lkx8Ml/Q32FPZbVyw6Mf9FmKL4Tcgd5G6uI+IYSU7/5+c+hpsau//KXKi1tg9nTcsnPseO7PvteFdtKNSOUdAHjxsEDD8DmzXZIqWhHqbo6W7U/bRpMmQJ//nPXmlGqvsq2H33hWNuhadtzgJtgdx8HU+61CemxP4Gsnp6GKiL+o8TUT9asgYcesuvHHw+zZ3sbTxeRlx3gS+7YpvVheGBRBXWq0peuom/f2FBTjz8O06fHji1fbmtNBg60A/p/9JFnYR5W+VpYfoOtrn/3WtgfF2v/8+CMl+CCj2DUXAjltvw8IpLWlJj6ya23QiRi12+/3c7PLW0yeWQmU0baKtHP94R5WtOVSleTkQFXXAGLF8P779tq/uxse6y0FO6+G8aPtyWpDz0UG7XDS+Fa2PS4nTL0ubGw9i6oLbXHgrkw6jq4cA2c8QL0n5n2M9eJyOEp8/GLV1+FJ5+066efDjNnehpOV2OM4apTc+mZZ9/SL79fzdqtdR5HJXKEJk601fxbtsBvfgOjR8eOLVkC11xjq/6vu84msZ2tYgN8cDM8PRje/mLDKUPzR8Hx/wmXbIEp90D3MZ0fn4h0WUpM/aC+3o55CLZE4be/VcnCEeiWHeDqs7phsC3aHlx0kANVEa/DEjlyvXrBD35gm/m88QZ85SuxUtTycjsJR3GxXX73O9i5M3mx1FfCxr/ZdqPPjICP50H1LnvMhOCo2XDmK7aEdNy/QWZh8mIRkZSlxNQP7r03NhPMtdfa9qVyRMYOzGDmRPuHe9/BCPcvrCASUXtT6eKivfn/+lfYtg1+/3s7SH/U++/D979v26JeeCE88QRUJaA5i+PA7rdh2bXwf/3gnatsT/uobkPhuF/BxZ/D9Ceg35lg9GdFRI6ccbrycCRJYowpBpYvX76c4uLi5L7Y3r0wahTs2wc9esCnn0JRUXJfM8XVhx3ufOYA67bbAffPL87mkqnqbCEpxnHg3Xdtlf8TT9gS1Hjdu9s2q1/7Gpx8cvvarB/8HD77C3z2cGwQ/CgTgoEXwsg50G8mBIId/38REd8qKSlh0qRJAJMcxylJ9uvpp63Xbr7ZJqVgh4pSUtphoaBh7sw8urtDSL1QUs0Hn6XBrDqSXoyBE0+E+++3Y6A+9pid5jToJorl5TZpPfVUGDHCfte8/37LY6PW7oP1D8IrM+DpIbDyxw2T0sLjYdLdcMk2OPVJGHCeklIRSTiVmDaj00pMX38dzjjDrh9zjP2joXFLE+aTbXXc+fQBIg5kZcCNl3TnqN4hr8MSSa6dO+04qH/5S/Mdo0aNsiWpV14JY4bCtmdh02Ow/R8QadRhMKsIhn4Fhv+L5q0XSVOdXWKqxLQZnZKYVlXBccfZqntj4O234aSTkvNaaWzRimoef7sSgIJuhlsu63Go575IyvvwQ5ugPvaYnVUOIAQcB0wDJhnIaPQ3IJAFAy+AYV+HAefaeexFJG2pKj9d/OIXNikFuP56JaVJctaELE4fnwVA2UGH/3r+ANW1+jEmaWL8eLjjDlj3ESy8De4eA/cauAGYSiwpDQPru8HWWTDsHzB9AQyapaRURDqd6jW9sHy5HZsQYPBguO02b+NJYcYYvjg9l73lEVZtrmPL3jB/+McBvnN+PhkhDcklKax2H2x5FrY8aavpw9XQO+64A6zPgDfrYBlQcRB41i4DB8JFF8HFF8Npp0Fmpif/CyKSflRi2tkqK+Gqq+zYpWDHIczP9zamFBcMGObMzGNwb9tRY/WWev74UgX1mrZUUk3lNvj0j3as0b/3gaX/AluesklpVO+T4Pg74ZLP4UdV8OPX4Kvfhv79Y+ds3Qp/+IOd6KNPH/udNX9+057/IiIJpjamzUhqG9PrrrPJKNgxS++7L7HPLy0qr4zwm6fK2VFmB92fNCKTa8/uRjCgklPpoiJhKP0nbHsBtj4P+5pp/mWC0PcMGHwpDLwIcge08FwReO89eOopu6xe3fScUAhOOQXOO88uxxyjyUBEUpw6P/lA0hLT556DWbPs+siRtsdsXl7inl8Oq7TCJqd7ym1yOnlEJt+Y0Y1QUH9cpYuo3QfbX7aJ6PYXoWZP03OC2dD/HBh0qR1zNKtn+19n7Vp4+mmbpC5d2vwwU4MH2wT1/PPhrLP0fSaSgpSY+kBSEtPNm+20gXv32nEG33kHTjghMc8t7bK7PMwdT5ZTdtC+98cflcG3zskjK0PJqfiQE4F9H8COhTYZ3fMOOOGm52X3gf7nwcBZtjd9qFviYtixA559Fl54ARYtgoqKpudkZNjS1HPPhRkz7Kgj7RnUX0R8SYmpDyQ8Ma2utl/Y771nt3/xC/jxjzv+vHLEdu8P89tnDxwqOR09IMS/npdHbpb+kIoPVGy0U3/uWAg7X4Gavc2f13MyDLjADu/Uc1LnTAdaW2uHt3vhBXjxRfjoo+bP69XLjtM8Y4YtTR0xQtX+Il2QElMfSHhiOndurC3p+efbkgeVJHiu7GCE3z5zgO37bOnTgJ5Brj8/j6Lums1GOlntPtjxaiwZrVjf/HkZ3e00oAMvsKWjOX07N87mbN5sE9QXX7SlqQcPNn/eUUfZBDW69OvXuXGKyBFRYuoDCU1M778f5syx68OH21LTwsIOxyiJUVEd4e7nDrBxl01O87IN/3peHiP7a/xGSaKavbBrMex6E3a/Cfvet1X2jZkg9DoR+s2AfmdD7xP9PbZoba1tj/rKK3ZZtiw2AkljY8famqRTTrHTpg4Z0rmxikibKDH1gYQlpi+9BBdcAOEwZGfDkiUwcWLC4pTEqKlz+J9XKijZYKdjDAXgy6fmMn1cFkZVj5IIVdttEhpd9n/Y8rndx8YS0T6nQWaPzosz0Q4cgDffjCWqK1e2fO7gwbEk9ZRTYNw4Vf2L+IASUx9ISGK6YoX9cj1wwG4/8QTMnp2wGCWxIo7DU8uqeLEkNt7j1NGZXHVaN7LVKUraw4lA+Sewdynsfssmogc+bfn83EE2Ae03A/qeBd0Gd16snW3XLnj1VbssXgxr1rR8bu/eMH06TJsGU6fCpEmQm9t5sYoIoMTUFzqcmG7caL9Qt26123fcAT/8YSJDlCRZuraGv75xkFq39rFfQYC5M/MY1FuTpEkLastg77uwZwnsWQp7l9k2oy3JGwl9TnWX06DbkPQtGdy1C956yyapb74JH3xgx1NtTjBoe/qfeKJNVKdOhVGj0vfeiXQSJaY+0KHEdMsWWxX12Wd2+1vfsjOo6Muzy9hWGubelyoOdYoKBmDW5BzOOT5b452mu0g9lK+xCeieJbZUdP9q7PyeLehxTCwJLTql5QHuxc4stWSJTVIXL4Z334WampbP79nTDrs3dapNWCdNgqKizotXJA0oMfWBI05Md+yw80p/8ondvuwyeOwxO1uKdCk1dQ5/W3yQd9bUHtp3VFGQq8/sxqBe+vdMC5F62P8xlC63MyqVLrfjiYarWr4mlG87KPWaaqf+7H0iZPXqvJhTTU2NbRa1dKldli2DDRtav2bQIDtm9KRJ9rG4GAbox4DIkVJi6gNHlJhu3mznlV671m7PmgULFkBmZtLilOQrWV/L/755kANV9nMSDMCZx2Yza0oOOZkqPU0ZkbpYEhpdylY0nGO+Od3HuQmom4h2HwcBDTeWVLt22QQ1mqi++26sLX9L+vWLJanR5aijVJMl0gZKTH2g3Ynp6tU2Kd2yxW7PnGmn8svOTmqc0jkOVEV4dHEl/1wXKz3tnmO47KRcpo7JJKA/bl2H40D1TihbBWUr3WWVTUojrVQZA+QOtoPY95wEPafY0tDMgs6JW1oWDtvv4Pfeg+XLoaTEtlWtrGz9uu7d4dhj7TJhQmy9RxceBUEkCZSY+kC7EtMlS+DCC6G01G5ffDE8+qiS0hS0YmMtj79Vye7yWOeMwb2DXHRCDhOGZGhoKb+pr4Lyj2FfXAJathJqdh/+2tyj4pJQd8lW28UuIxy2tVclJXZZvhzef//wJatgS1IbJ6yjR6v2S9KWElMfaHNi+tBDtnNTrVuSds018Kc/qU1pCqurd3h5RTUvLK861HMfYHjfIBedkMu4QSElqJ2tdj+Ur7adkMrXxNYPbmh+0Pp4JgD5o6FgAhQeB4WToGexktBUFInA+vU2SV2xwo6pumoVfP754a8NBu2UquPG2YkBoo9jx6qEVVKeElMfOGxiWldnh3+6++7Yvptvhl/9Sm2W0kRpRYTn3qvi7dU1ROI+QkOKgsycmM2kEZkEA3ovJIzj2EHqDyWgcUlo1fa2PUdWkU1ACyZAofvYfRyEcpIbu/hbWRl8+GEsUY0u5eVtu75//6YJ65gxMHCgpp6WlKDE1AdaTUw3bIAvf9k2ugdbZf/AA3DVVZ0ep3hv1/4wz7xbxbuf1jYYMKhXfoCzJmRz0phM8rL1x6lNoslnxTo44C4V6+zg9AfWQX1F254nlA89xtkZlKKJaMEEf8wrL12D49gOrdEkdfVqOxnAmjVtaw4AkJVlS1lHjmy6HHWULYUV6QKUmPpAs4mp48Ajj8B118W+mAYOhKeegsmTPYtV/GF7aZiXV1SzdG0N9XG1x6EgFA/P5JSjsxgzQNX8ROqhaitUbGgm+VwP4cN0WImX098mn93H2SWajOYMUM2FJIfjwLZtsUQ1/nF7G0vuATIyYNiwhsnq8OEwdCgMGQJ5eUn7XxBpLyWmPtAkMd24Ea6/Hp5/PnbSF74ADz5op80Tce2vjPDqympe/6iGypqGn62i7gGmjMpkyshMBvYMpmaSGqmDyi1wcCNUbISDm+z6QXe98nNwwm1/vmAO5I+0syXlj2yYgKpHvPjJ/v2xJHXdutjy6adtbxYQ1auXTVKjiWp0PbrdvXvCwxdpiRJTHziUmC5dSvHixfCzn8WGHsnOht/+1nZ6SsXEQhKips5h+fpaFq+uYd32+ibH+xcGmDwyi+JhGQzs1UWSVMexU21WbrGlnpVbbKJZsTGWfFZtPXyHo8ZCeQ2Tz/j1nP62g5JIV+U4sHdvw0Q1PnGNjujSHoWFsSR18GA7qcCgQbYWL/qokWEkQZSY+sChxHTgQIqj890DnHEG3HuvHTpEpI22l4Z5a3UN766roexg089bYbcAxw7J4NghGYwdlEF2hgdJaiQMNbvcZHMLVG6Fqrj1yi12+3ADzjfHBCF3EHQbGlvyhrrJ5yjI7qMfeZK+SkvtaAEbN9pl06bY+saNcPDgkT1v795NE9b4ZcAAyM/XZ08OS4mpDxxKTIFisNUqd94JX/uaPsRyxCKOw7rt9by3rpb31tcemk0qXigAw/qGGD0gxOgBGYzoFyKrI4lqfSVU74CqHfaxemds/dDjdqja1r4q9ngmZAefzxvqJp5DGiagOQMhoCHURNrNcWziGp+oxieumza1v5lAvJwcOytW//72saWlb1+N45rGlJj6wKHENCOD4u99D265xVadiCRIJOKwbkc9KzfVsWpTHdtKm08KgwEYWhRiRL8QQ/oEGVoUoCjnAKZmL9TssYPF1+xuIeHcAfVt7EHcEhOC3IG2xDNnUGw9d5BNOKOPmoZTxBsHDsDWrXbmwfglft+ePR1/nV69GiarRUWxpXfvhuuFhRoqK4UoMfWBQ4npc89RfMEFXocjqay+Cmr2UFa6g01bdrJz104q9u0mM7KHPLOXPFNKfmDvofU8s5egOcKSzcYye0JOP8ju6yad0SUuEc0uUhtPka6uutomqtFk9fPP7SgCO3Y0XPbvT8zrBYM2kW2csDZe79nTJrE9e9oOXaqR9KXOTkxVv9aa/v29jkC6gnCN7RRUW+o+tmVxz3XbbBa4CwAdqDGrJY/ajL44WX0I5PYnM68fGXn9IbtfLAnN7mfbdQazOvp/LiJdQXa2HVN1xIjWz6uqgp07bZLaXOIav0RnPGxOOAy7dtmlrQIBm6RGE9WWHpvbp45eKUWJqaQvx4FwFdSVN1r2N7MvfilrmGSGq5IXYygfJ7uIcKgXB+lFWX0vdtcUsr2yJ6V1vTgQ6UmF04typw/lkSJqaDr+YV62oahHgKLuQfq4j4V5AQrzwhR2C3SsDauIpI6cnNiwVK1xHNu2dc8e2L3bLi2tR7cPNzFBJGJHL9i7t/1xZ2baqWG7d7ePLa23djw/X80PfEKJqXQdkTqoP+guFc2sN35011tLOo+0w097mSBkFjaz9LRTZWb1ttXmWb3dpQiyekEwC4P9oPZwlyGA4zjsLo+wrTR8aNlaGmZHWZj6Rv9LFdUOFdVhPtvZ/P9rbpahsFuAwrwAPfMCFHQL0D3XkJ8ToHuOfczPMeRkmq4xrJWIJJcxsaTucKWwUdXVNkGNT1r37bNLaWnLj9VtGAmktjb2nB2Rn2//n/Lz7SQHHV1yctQ84QgoMZWOcyK2SjpcZZf6qth6/NLi/sq2JZiRVqqOOkMwGzK6Q6g7ZPVsIdFslHRG10N5Cf2CMsbQp0eQPj2CTBwW2x+OOOzeH2Hn/jC790fYVe4+7g+z90CEcDNDjFbWOFTW2MS2NaEANknNNXTPCZCXbcjJMnTLMuRmBch113Myo/sMudkBskIooRVJd9nZsaGq2qOqqmkC2zh53b/fLuXlTdfrm44j3aIDB9o+5WxbGAPdusUS1W7dbLKamxt7jF8/0n2ZmSmVAPsyMTXGzME2uSsDRgB/chxnQ7Ku67IcxyZrkRrbzvHQY3P72nlOpCaWbB4u0YzUeH0nWhfMtQnloaVHo+3mlkbnhPIh6P/hUoIBQ7/CIP0Km/aSD0ccSisi7D0QYV+FuxxsuN7cEFZR9RHs+QcB2l7SHAxATqYhK8OQnWHIyiBu3ZAddyz+eFaGITNkyAhiH5tZDwVT58tYRJqRk2OXAQPaf63j2BLXxslqcwls/L6KiqZLZTumS45//ej1yRQIxJLVrCz7IyC6xG8f6bHNm5MbfyO+S0yNMZcDZzuOM9vdLgCWG2MmOY5TlujrWnVgPewL2Crk6OLUNdxubt8Rb9e2vP9QwthoPWUYCHVzl7wWHo9kXzeNoekKBgxF3YMUdW95aKe6eoeySpugHqiKUF5pHw9URSiviq47lFdGOFjjNFsC21g4Em1OkPgRQAIGMoKQEXKT2BBkBO1jZtAQChpCQZsch4Lm0GMoYPcF3fW2HbP3MBiwrxsIGILG/k0IBCBgGh4LGA5tBwMGE912zxWRJDMmltj269ex5wqHbXLaXNLa1qWy0i5VVbH1ykr73B0RidiJGI50Mgaf8eNf7FuAm6IbjuOUGWNKgCuA+5JwXcveugK2Hv60lGQCEMiGUI6dr7y5paVj7d6fax/1x9pzGaFo8nr4cx3HobY+2hTAJqqVDZYIlTUOB2scqmodausdqmsdquvslK3VdQ41dW1LblsScaCmHmrqHaDrDH1niCao9jHoJrLR7WiSa9x9xhj3MX6fu445tN7kmDEYaOZ43PPR8FjANHw++xruV0L8a7n/I/GP0Y+w3Wea7IteC3HPEX+Oe03DfY1eCxtnbNs0e06LMR5ab3pd/GvGx9zk36+5fdFo2np+/L1K2PlNY2jtfNPMSa3ta/v5pp3nN4yrQazNnN/iOc0dO8I/K81flgt5uZDfN7Fx1NVBZSWmugrjJq6myiatgeoqqKq0+6urMJVVmKrYPlNtk1xT5V5XUwM1NZjqaqipgZrqQ+umxt1XXY3x8VChvkpM3VLOYqDx5MGlwGxaSDCP9DpvGQhk2MVkxNab2w5kQiDLDu/T3GOTfYc5v8n1mc3s89VbQ3zImFi1e2HekfdmrQ/HktTqOofqWpu41tQ51IYd6uptSW5d2CbCdfV2f309h47Xusdj6/a8+jDUR2zyWx+2jx1JhBPFwcYRBvc/jf9I+PePhogkS7a7tMAA3dylIxyHYLiOUH0NGXU1ZNTXEHIfM+qqCdXXklFXbffX17Btx6fw7G0dfNG281v2Mdx9bFz1XhZ3LJHXYYzpDzQesHSs/e8NMH7YYZLGNiSWzW5rphwRsFXleUFDXicNReg4bqIagXDYoT4uaT2UyIZtm9wmx8IOEcfWnIUdh0iE2HYk/ljsdWLnOISd2HY4End9K+c62KZqjuPYZuUODR4dWjnmgENLx5xD1zc+JiIpzBjCoUzCoUxqsvMPe/qezSvSOjHt2cnHAOYCP2v2yLCrYEzxYS4Xka7EGNvuNBQENIZrsxokujRNkOMT2EOPNNznuCtOg+1YWXCTfdEk2105lHQ3d06T13QO7YscJq7YazsN9jW5Li7W+ALs5vL22Gs5TU5yaLKLJqc1d34zL9S28512nt/e54871spzNDerZONdTivH4ve1+luplYNH+hurpR9nrcfR8tFEx3H4WBJ73frcTJ5q7boE81ti6oU/Ac802jcWeMSDWEREPGfcdqaHGmg0qOBRMi+STkqycjr19fyWmEbbiBY02l9A0/ajibgOx3G2A9vj92nMRREREZHO57f5t1oac7RnK8c6cp2IiIiI+ISvElN3vNESmnZYKgAWJvo6EREREfEPXyWmrtuBK6Mb7lBQw4kb8skYM8MYs9w91ubrRERERMS//NbGFMdxFhhjehpj5gHrsVOLnt3M7E3DsVX1Ze28TkRERER8yHeJKYDjOK2WcjqOswgobO91IiIiIuJffqzKFxEREZE0pMRURERERHxBiamIiIiI+IISUxERERHxBSWmIiIiIuILSkxFRERExBeUmIqIiIiIL/hyHFMfyAZYvXq113GIiIiIeCYuF8rujNczjuN0xut0KcaY64B7vI5DRERExCeuchznb8l+EZWYNi/68+BqYKWXgaSwscAjwFXAGo9jSWW6z8mne5x8usedQ/c5+briPc4GhgIvdcaLKTFt3n73caXjOCWeRpKijDHR1TW6x8mj+5x8usfJp3vcOXSfk68L3+N3OuuF1PlJRERERHxBiamIiIiI+IISUxERERHxBSWmzdsO/Nx9lOTQPe4cus/Jp3ucfLrHnUP3Ofl0jw9Dw0WJiIiIiC+oxFREREREfEGJqYiIiIj4ghJTEREREfEFJaYiIiIi4gua+UkkxRhj5gA4jnNfM/sLgDJgBPAnx3E2dH6EItKZjDHDsZ/3s1s4ftjvBn1/tK4N9/hGoBcwHHsf5+oeN0+JaRy9KRJPH8bOFf1yBOY22n85cLbjOLPd7QJguTFmkuM4ZZ0fadfkvp8PcRznjkbH9V7uIPe9Otzd7AU83njqRt3ntjHGzABmY7GZ9R8AAAaESURBVO/TDGNMQePPe1u+G/T90bI23uN5xL1H3e+R9caYEXH7dI+jHMfRYofMuhyYH7ddAKwHCryOrasuwDxgeNz2jYDTaJ/ue2Lv+Y3u/ZvTaP9yYEajffMbn6el1Xvb4H4B+xpt673c8Xt8OVDczH3Xd0bH7mux+93b5B615btB3x8dvsf7gMsb7XOwyarucaNFbUxjbsGWNAHg2F8oJcAVnkXU9c3BfliBBqVLN8Wdo/ueIO4v7gXN7C/A/juUNjpUiv2lL4cRLcVzGjaPuA9YFLet93LHzXUalY4CC4EZcdu6zwnSlu8GfX8kzPBG2xui+3SPG1Jiit4USaYPYydw72VPp/nqzOi/QePqoDKa/vtI8+bRMAnFcZybnFg1nN7LCWKMmd9o19nAe+4x3efEast3g74/OshxnEKnUbMf7L3bELcOuseA2phG6U2RBI7jFDazezixP/C674kzp5kvvqierVzX2jGJGQ7sdduGRds1xrd91Hs5MW7Ctqtbj20nPRxYqPucNG35btD3R4K5NTBgf/CC7nEDSkwtvSk6gT6MydFSFb4khjEm2hxlitOwY8JnbseEDei9nBCO45QYY87GVt8vBBY5DXs56z5Ll+Z+d9yP7eikDnvNUFW+dAp9GJPjMFX4UdFqz4JG+wtoWiUqLftndMVt17iBhu2lpYPiquoLsfd2hjFmvbtfEq8t3w36/kis+4FrHceJbxqkexxHJaaW3hTJpw9jclwBjHCHI4kaDsw2xowAbifWjqmxnq0ck5gNjR7j90921/VeToxXgLPcxP8OY8wCbMnpPGzVvu5zYrXlu0HfHwniNgV63HGcBe52QdyP3Oak5T1WYmrpTZFE+jAmT6Ne4sChMR7nxx8zxpRgE9b4Hs8F2D/60grHccqMMYc7Te/lDnLH4C114sZsdBxnQ1zVPug+J5T73m71u6Et58jhuU2uNkT/DrrmAHfoHjekqnwaDDfSuPF8Wr4pEqmVD6Pue/I0V+15O3BldMOtGh2OHfJIDm8RMKXRvuG4vcX1Xk4et5nKBndd9znx2vLdoO+PDnAH4b8S6GmMmeMu0clnonSPXcYdxDXtuQnUlY06NywH0m/WhQRxP4xzafgHowDo5TjOTe45uu8JEne/L8f+IV8Qvc/u8TnY3uTr0Ww57eJ2gJrvOM4Id7sA+AwY5jScHUfv5Q4wxiwE5sU3+XH/gC+K9szXfW47txR6LnYc2GLsD6wS4Pb4e9WW7wZ9fzSvLffYGLOP5gsMZscX2ugeW0pM4+hNkVj6MEoqaTT1YAE2gdIf7wSLay+9l9anJNV9FklBSkxFRERExBfUxlREREREfEGJqYiIiIj4ghJTEREREfEFJaYiIiIi4gtKTEVERETEF5SYioiIiIgvKDEVEREREV9QYioiIiIivqDEVERERER8QYmpiIiIiPiCElMRkU5ijCk2xgw/zDn7jDGOu1zehnPnuet/irvuT4mMW0SksygxFRHpPPOBVhNT1wJgErCoHc89z71mwxHEJSLiCyGvAxARSQfGmAJsUvpeG07f4DhOSXue33GcDe7rHEF0IiL+oBJTEZHOMQObcJYdycXGmBuNMevdqvrlxpjiBMcnIuI5lZiKiCSRMWYGMBubmJa57T8XOo6zoB3PMR+4HLgPWAhMAZYnIVwREU8pMRURSSLHcRYBi4wxy4Hb25OQgu0whU1K73Ac5yZ39wJjzHpAnZxEJKWoKl9EpHMU077OTFGT3cfb43c6jnNfhyMSEfEZJaYiIknmVucfafvSEQAtXHtE7VVFRPxKiamISPIdaWkpwHo41Ku/seb2iYh0WUpMRUSS72zczkrGmOHt7FEfTWhvid9pjJmToNhERHxDnZ9ERJIvfvzSyx3HuaOtFzqOs8EYcx9wo1tqGu2VfyOqyheRFKPEVEQk+W4CrnTbmra705LjOHPdXvhzgTlACXaWp3kJjVJExGPGcRyvYxAREZcxZh9wX9zQUO29fj2wyHGcuYmNTEQk+dTGVERERER8QVX5IiL+E+0g1eYhpowxw1EvfRHp4lRiKiLiP5dje/HPaMc1N7nXDE9KRCIinUBtTEVERETEF1RiKiIiIiK+oMRURERERHxBiamIiIiI+IISUxERERHxBSWmIiIiIuILSkxFRERExBeUmIqIiIiILygxFRERERFfUGIqIiIiIr6gxFREREREfEGJqYiIiIj4wv8H1YH0wILOZNAAAAAASUVORK5CYII=
"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Analicemos ahora aquellos momentos en los que se ve sobrepasada la capacidad de nuestro sistema de salud. Para esto, grafiquemos únicamente la curva de infectados en conjunto con la capacida del sistema:</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[22]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">porcentaje_infectados</span> <span class="o">=</span> <span class="p">[</span><span class="n">valor</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="k">for</span> <span class="n">valor</span> <span class="ow">in</span> <span class="n">valores</span><span class="p">]</span>
<span class="n">capacidad_sistema</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.3</span> <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">valores</span><span class="p">))]</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">dpi</span><span class="o">=</span><span class="mi">125</span><span class="p">)</span>
<span class="n">infectados</span><span class="p">,</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tiempos</span><span class="p">,</span> <span class="n">porcentaje_infectados</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;red&quot;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s2">&quot;Infectados&quot;</span><span class="p">)</span>
<span class="n">capacidad_sistema</span><span class="p">,</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tiempos</span><span class="p">,</span> <span class="n">capacidad_sistema</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;orange&quot;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s2">&quot;Capacidad sistema de salud&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Porcentaje de infectados y capacidad del sistema de salud.&quot;</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;$t$ [d]&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">130</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;$\%$&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="n">handles</span><span class="o">=</span><span class="p">[</span><span class="n">capacidad_sistema</span><span class="p">,</span> <span class="n">infectados</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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

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


<div class="output_area">

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


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

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Vemos que claramente hay un momento de la epidemia donde se sobrepasa el 30% de la población infectada y, por lo tanto, el sistema de salud se ve colapsado. Ahora, intentaremos variar los parámetros beta y gamma de forma tal de poder atravesar la epidemia evitando la saturación del sistema de salud.</p>
<p>Intuitivamente, podríamos creer que si bajamos la tasa de transimisión y mantenemos estable la tasa de recuperación, podríamos atravesar la epidemia con un pico menos pronunciado.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[23]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">s_0</span> <span class="o">=</span> <span class="mf">0.97</span>
<span class="n">i_0</span> <span class="o">=</span> <span class="mf">0.03</span>
<span class="n">r_0</span> <span class="o">=</span> <span class="mf">0.005</span>
<span class="n">h</span> <span class="o">=</span> <span class="mf">0.01</span>

<span class="n">beta</span> <span class="o">=</span> <span class="mf">0.15</span>
<span class="n">gamma</span> <span class="o">=</span> <span class="mf">0.043</span>

<span class="n">tiempos</span><span class="p">,</span> <span class="n">valores</span> <span class="o">=</span> <span class="n">simular_sir_con_runge_kutta</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">s_0</span><span class="p">,</span> <span class="n">i_0</span><span class="p">,</span> <span class="n">r_0</span><span class="p">]),</span> <span class="n">h</span><span class="p">,</span> <span class="mi">130</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">gamma</span><span class="p">)</span>

<span class="n">porcentaje_infectados</span> <span class="o">=</span> <span class="p">[</span><span class="n">valor</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="k">for</span> <span class="n">valor</span> <span class="ow">in</span> <span class="n">valores</span><span class="p">]</span>
<span class="n">capacidad_sistema</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.3</span> <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">valores</span><span class="p">))]</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">dpi</span><span class="o">=</span><span class="mi">125</span><span class="p">)</span>
<span class="n">infectados</span><span class="p">,</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tiempos</span><span class="p">,</span> <span class="n">porcentaje_infectados</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;red&quot;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s2">&quot;Infectados&quot;</span><span class="p">)</span>
<span class="n">capacidad_sistema</span><span class="p">,</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tiempos</span><span class="p">,</span> <span class="n">capacidad_sistema</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;orange&quot;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s2">&quot;Capacidad sistema de salud&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Porcentaje de infectados y capacidad del sistema de salud.&quot;</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;$t$ [d]&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">130</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="mf">0.5</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;$\%$&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="n">handles</span><span class="o">=</span><span class="p">[</span><span class="n">capacidad_sistema</span><span class="p">,</span> <span class="n">infectados</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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

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


<div class="output_area">

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


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

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Habiendo disminuido el valor del parámetro $\beta$ a 0.15, vemos que si bien el sistema de salud se sigue saturando, su capacidad de atender a los enfermos apenas se ve superada por el porcentaje de la población infectada. Además, debe notarse que la duración de la epidemia es similar: la diferencia radica en que el pico es menos pronunciado, de forma tal que el crecimiento de la curva de contagios está suavizado y el sistema de salud puede atender mejor a los enfermos.</p>
<p>Ahora, intentemos aumentar la tasa de recuperación. Intuitivamente, es posible pensar que si los enfermos se recuperan más rápido, los hospitales podrán atender a nuevos más rápidamente, ya que los enfermos ocuparán menos tiempos en los hospitales.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[24]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">s_0</span> <span class="o">=</span> <span class="mf">0.97</span>
<span class="n">i_0</span> <span class="o">=</span> <span class="mf">0.03</span>
<span class="n">r_0</span> <span class="o">=</span> <span class="mf">0.005</span>
<span class="n">h</span> <span class="o">=</span> <span class="mf">0.01</span>

<span class="n">beta</span> <span class="o">=</span> <span class="mf">0.15</span>
<span class="n">gamma</span> <span class="o">=</span> <span class="mf">0.053</span>

<span class="n">tiempos</span><span class="p">,</span> <span class="n">valores</span> <span class="o">=</span> <span class="n">simular_sir_con_runge_kutta</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">s_0</span><span class="p">,</span> <span class="n">i_0</span><span class="p">,</span> <span class="n">r_0</span><span class="p">]),</span> <span class="n">h</span><span class="p">,</span> <span class="mi">130</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">gamma</span><span class="p">)</span>

<span class="n">porcentaje_infectados</span> <span class="o">=</span> <span class="p">[</span><span class="n">valor</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="k">for</span> <span class="n">valor</span> <span class="ow">in</span> <span class="n">valores</span><span class="p">]</span>
<span class="n">capacidad_sistema</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.3</span> <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">valores</span><span class="p">))]</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">dpi</span><span class="o">=</span><span class="mi">125</span><span class="p">)</span>
<span class="n">infectados</span><span class="p">,</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tiempos</span><span class="p">,</span> <span class="n">porcentaje_infectados</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;red&quot;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s2">&quot;Infectados&quot;</span><span class="p">)</span>
<span class="n">capacidad_sistema</span><span class="p">,</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tiempos</span><span class="p">,</span> <span class="n">capacidad_sistema</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s2">&quot;orange&quot;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s2">&quot;Capacidad sistema de salud&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Porcentaje de infectados y capacidad del sistema de salud.&quot;</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;$t$ [d]&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlim</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">130</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="mf">0.5</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;$\%$&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="n">handles</span><span class="o">=</span><span class="p">[</span><span class="n">capacidad_sistema</span><span class="p">,</span> <span class="n">infectados</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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

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


<div class="output_area">

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


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

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<p>Ahora sí, podemos comprobar que el comportamiento que intuimos era el correcto. Efectivamente, los enfermos se recuperan más rápido y nuestro sistema de salud no se ve colapsado, pudiendo atender a todos los enfermos y salvando la mayor cantidad de vidas posibles.</p>
<p>En conclusión, la variación de los dos parámetros se comportan en la forma opuesta. Por un lado, al disminuir la tasa de transmisión logramos suavizar la curva y los contagiados se reparten espaciadamente a lo largo del tiempo, evitando un pico puntiagudo. En segundo lugar, al aumentar la tasa de recuperación, por ejemplo mediante la utilización de algún medicamento o suero elaborado por el sistema científico, los enfermos pasarán una menor cantidad de tiempo en los hospitales y de esta forma se podrá atender a un mayor cantidad de nuevos contagiados.</p>

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

 
</html>