mecanique-2nde.html

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<title>mecanique-2nde</title>

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<style type="text/css">
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/*! normalize.css v3.0.3 | MIT License | github.com/necolas/normalize.css */
html {
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body {
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article,
aside,
details,
figcaption,
figure,
footer,
header,
hgroup,
main,
menu,
nav,
section,
summary {
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audio,
canvas,
progress,
video {
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audio:not([controls]) {
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[hidden],
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a {
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a:active,
a:hover {
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abbr[title] {
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b,
strong {
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dfn {
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h1 {
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mark {
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small {
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sup {
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sup {
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sub {
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img {
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svg:not(:root) {
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figure {
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hr {
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pre {
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code,
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samp {
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input,
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textarea {
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button {
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button,
select {
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button,
html input[type="button"],
input[type="reset"],
input[type="submit"] {
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input[type="search"]::-webkit-search-cancel-button,
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optgroup {
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th {
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  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 */
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<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; }

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<h1 id="Repr&#233;senter-les-positions-successives-d&#8217;un-syst&#232;me-mod&#233;lis&#233;-par-un-point-lors-d&#8217;une-&#233;volution-unidimensionnelle-ou-bidimensionnelle">Repr&#233;senter les positions successives d&#8217;un syst&#232;me mod&#233;lis&#233; par un point lors d&#8217;une &#233;volution unidimensionnelle ou bidimensionnelle<a class="anchor-link" href="#Repr&#233;senter-les-positions-successives-d&#8217;un-syst&#232;me-mod&#233;lis&#233;-par-un-point-lors-d&#8217;une-&#233;volution-unidimensionnelle-ou-bidimensionnelle">&#182;</a></h1>
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<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">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
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<h1 id="Bille-ponctuelle-&#233;voluant-sur-un-rail-(th&#233;orie)">Bille ponctuelle &#233;voluant sur un rail (th&#233;orie)<a class="anchor-link" href="#Bille-ponctuelle-&#233;voluant-sur-un-rail-(th&#233;orie)">&#182;</a></h1>
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<h3 id="A-vitesse-constante">A vitesse constante<a class="anchor-link" href="#A-vitesse-constante">&#182;</a></h3><p>On considère une bille lancée à vitesse constante $v$, à partir d'un point $x_0$ du rail, vers les $x$ croissants.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># création des instants</span>
<span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">20</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># vitesse</span>
<span class="n">v</span> <span class="o">=</span> <span class="mi">10</span>
<span class="c1"># position initiale sur l&#39;axe du rail</span>
<span class="n">d0</span> <span class="o">=</span> <span class="mi">70</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># distance parcourue</span>
<span class="n">d</span> <span class="o">=</span> <span class="n">v</span> <span class="o">*</span> <span class="n">t</span> <span class="o">+</span> <span class="n">d0</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">d</span><span class="p">,</span> <span class="s1">&#39;o--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;t (s)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;d (m)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="n">ymin</span><span class="o">=</span><span class="mi">0</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;Distance parcourue au cours du temps&#39;</span><span class="p">)</span>
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<pre>Text(0.5,1,&#39;Distance parcourue au cours du temps&#39;)</pre>
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<h3 id="A-vitesse-croissante,-acc&#233;l&#233;ration-constante">A vitesse croissante, acc&#233;l&#233;ration constante<a class="anchor-link" href="#A-vitesse-croissante,-acc&#233;l&#233;ration-constante">&#182;</a></h3><p>On considère une bille lancée à accélération constante $a$, à partir de l'origine du rail sans vitesse initiale, vers les $x$ croissants.</p>
<ul>
<li>La vitesse croit linéairement : $v = a \cdot t$</li>
<li>la position croît de manière quadratique : $d = \dfrac{1}{2} \times a \cdot t^2$</li>
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<div class="prompt input_prompt">In&nbsp;[6]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># création des instants</span>
<span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">20</span><span class="p">,</span> <span class="mi">20</span><span class="p">)</span>

<span class="c1"># accélération</span>
<span class="n">a</span> <span class="o">=</span> <span class="mi">10</span>

<span class="c1"># distance parcourue au cours du temps</span>
<span class="n">d</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">a</span> <span class="o">*</span> <span class="n">t</span><span class="o">**</span><span class="mi">2</span>
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<div class="prompt input_prompt">In&nbsp;[7]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">d</span><span class="p">,</span> <span class="s1">&#39;o--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;t (s)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;d (m)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Distance parcourue au cours du temps&#39;</span><span class="p">)</span>
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<pre>Text(0.5,1,&#39;Distance parcourue au cours du temps&#39;)</pre>
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<h1 id="Bille-ponctuelle-l&#226;ch&#233;e-d'une-hauteur-$h$-sans-vitesse-initiale-(exp&#233;rience)">Bille ponctuelle l&#226;ch&#233;e d'une hauteur $h$ sans vitesse initiale (exp&#233;rience)<a class="anchor-link" href="#Bille-ponctuelle-l&#226;ch&#233;e-d'une-hauteur-$h$-sans-vitesse-initiale-(exp&#233;rience)">&#182;</a></h1><p>On travaille avec des relevés de positions au cours du temps obtenus à partir du film d'une chute (ex : Regavi)</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">h0</span> <span class="o">=</span> <span class="mi">2</span>
<span class="n">h</span> <span class="o">=</span> <span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mf">1.94</span><span class="p">,</span> <span class="mf">1.76</span><span class="p">,</span> <span class="mf">1.44</span><span class="p">,</span> <span class="mf">1.03</span><span class="p">,</span> <span class="o">.</span><span class="mi">49</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
<span class="n">t</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">,</span> <span class="mf">0.2</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">,</span> <span class="mf">0.4</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.6</span><span class="p">]</span> <span class="c1"># liste python classique</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">h</span><span class="p">,</span> <span class="s1">&#39;o&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;t (s)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;h (m)&#39;</span><span class="p">)</span>

<span class="c1"># modélisation par une chute libre (courbe rouge)</span>
<span class="n">g</span> <span class="o">=</span> <span class="mf">9.8</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">h0</span> <span class="o">-</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">g</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">t</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span> <span class="c1"># il faut convertir t en ndarray (tableau de numpy)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;red&#39;</span><span class="p">)</span>
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<pre>[&lt;matplotlib.lines.Line2D at 0x7ff66732fe10&gt;]</pre>
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<h1 id="Mouvement-parabolique-(th&#233;orie)">Mouvement parabolique (th&#233;orie)<a class="anchor-link" href="#Mouvement-parabolique-(th&#233;orie)">&#182;</a></h1><p>On considère une bille lancée d'une hauteur $h$, avec un angle $\alpha$ par rapport à l'horizontale, et une vitesse intiale $v_0$.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># hauteur de lancement (m)</span>
<span class="n">h</span> <span class="o">=</span> <span class="mi">5</span>
<span class="c1"># angle en degré, puis conversion en radians</span>
<span class="n">alpha</span> <span class="o">=</span> <span class="mi">40</span>
<span class="n">alpha</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">radians</span><span class="p">(</span><span class="n">alpha</span><span class="p">)</span> 
<span class="c1"># vitesse initiale (m/s)</span>
<span class="n">v0</span> <span class="o">=</span> <span class="mi">20</span>
<span class="c1"># intensité de la pesanteur (m/s2)</span>
<span class="n">g</span> <span class="o">=</span> <span class="mf">9.8</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># création des instants</span>
<span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">30</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># coordonnées de positions (x, y) en fonction du temps</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">v0</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">alpha</span><span class="p">)</span> <span class="o">*</span> <span class="n">t</span>

<span class="n">y</span> <span class="o">=</span> <span class="o">-</span><span class="mf">0.5</span> <span class="o">*</span> <span class="n">g</span> <span class="o">*</span> <span class="n">t</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="n">v0</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">alpha</span><span class="p">)</span> <span class="o">*</span> <span class="n">t</span> <span class="o">+</span> <span class="n">h</span>

<span class="c1"># équation de la trajectoire</span>
<span class="n">traj</span> <span class="o">=</span> <span class="o">-</span><span class="mf">0.5</span> <span class="o">*</span> <span class="n">g</span> <span class="o">*</span> <span class="p">(</span><span class="n">x</span> <span class="o">/</span> <span class="p">(</span><span class="n">v0</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">alpha</span><span class="p">)))</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="n">np</span><span class="o">.</span><span class="n">tan</span><span class="p">(</span><span class="n">alpha</span><span class="p">)</span> <span class="o">*</span> <span class="n">x</span> <span class="o">+</span> <span class="n">h</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;y (m)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;x (m)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">traj</span><span class="p">,</span> <span class="s1">&#39;red&#39;</span><span class="p">)</span>
</pre></div>

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    <div class="prompt output_prompt">Out[13]:</div>


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<pre>[&lt;matplotlib.lines.Line2D at 0x7ff6672aa790&gt;]</pre>
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<h1 id="Tracer-des-vecteurs-vitesse">Tracer des vecteurs vitesse<a class="anchor-link" href="#Tracer-des-vecteurs-vitesse">&#182;</a></h1><p>On reprend les données précédentes du mouvement parabolique.</p>

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<h3 id="Calcul-des-coordonn&#233;es-(approximation-discr&#232;te)-du-vecteur-vitesse">Calcul des coordonn&#233;es (approximation discr&#232;te) du vecteur vitesse<a class="anchor-link" href="#Calcul-des-coordonn&#233;es-(approximation-discr&#232;te)-du-vecteur-vitesse">&#182;</a></h3><p>$v_{x}[i] = \dfrac{x_{[i+1]} - x_{[i-1]}} {t_{[i+1]} - t_{[i-1]}}$</p>
<p>$v_{y}[i] = \dfrac{y_{[i+1]} - y_{[i-1]}} {t_{[i+1]} - t_{[i-1]}}$</p>
<p>On donne les valeurs suivantes "aux extrémités" :</p>
<p>$v_{x}[0] = \dfrac{x_{[1]} - x_{[0]}} {t_{[1]} - t_{[0]}}$</p>
<p>$v_{y}[-1] = \dfrac{y_{[-1]} - y_{[-2]}} {t_{[-1]} - t_{[-2]}}$</p>

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<div class="prompt input_prompt">In&nbsp;[14]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># calcul des coordonnées de v</span>
<span class="n">vx</span> <span class="o">=</span> <span class="p">[(</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">x</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="o">/</span> <span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">t</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">1</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
    <span class="n">vx</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">x</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">x</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="p">(</span><span class="n">t</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">t</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">vx</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">x</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">x</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">])</span> <span class="o">/</span> <span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">t</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">]))</span>

<span class="n">vy</span> <span class="o">=</span> <span class="p">[(</span><span class="n">y</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">y</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="o">/</span> <span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">t</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">1</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">y</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
    <span class="n">vy</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">y</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">y</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="p">(</span><span class="n">t</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">t</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">vy</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">y</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">y</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">])</span> <span class="o">/</span> <span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">t</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">]))</span>
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<h3 id="Trac&#233;-du-vecteur-vitesse">Trac&#233; du vecteur vitesse<a class="anchor-link" href="#Trac&#233;-du-vecteur-vitesse">&#182;</a></h3><p><a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.quiver.html#matplotlib.pyplot.quiver">https://matplotlib.org/api/_as_gen/matplotlib.pyplot.quiver.html#matplotlib.pyplot.quiver</a></p>
<p>Remarques :</p>
<ul>
<li>il faut mettre le paramètres angles='xy' pour la vitesse (mais je ne comprends pas bien pourquoi...)</li>
<li>plus le nombre 'scale' est petit et plus les flèches sont grandes, couplé au paramètre scale_units='xy'</li>
<li>pour 'voir' correctement les vecteurs, il ne faut les tracer à tous les points</li>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;y (m)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;x (m)&#39;</span><span class="p">)</span>

<span class="c1"># ajout des vecteurs vitesse</span>
<span class="c1"># on ne conserve qu&#39;un point sur 4 (pour la lisibilité), et on exclut le 1er et le dernier point</span>
<span class="n">plt</span><span class="o">.</span><span class="n">quiver</span><span class="p">(</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="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">y</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">vx</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">vy</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">scale</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">scale_units</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;red&#39;</span><span class="p">,</span> <span class="n">angles</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">)</span>
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<pre>&lt;matplotlib.quiver.Quiver at 0x7ff6672224d0&gt;</pre>
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<h3 id="Hors-programme-de-2nde-:-vecteur-acc&#233;l&#233;ration">Hors-programme de 2nde : vecteur acc&#233;l&#233;ration<a class="anchor-link" href="#Hors-programme-de-2nde-:-vecteur-acc&#233;l&#233;ration">&#182;</a></h3><p>C'est hors-programme, mais ça vaut le coup de voir ce que ça donne...</p>

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<div class="prompt input_prompt">In&nbsp;[16]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># calcul des coordonnées de a</span>
<span class="n">ax</span> <span class="o">=</span> <span class="p">[(</span><span class="n">vx</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">vx</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="o">/</span> <span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">t</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">1</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">vx</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
    <span class="n">ax</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">vx</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">vx</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="p">(</span><span class="n">t</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">t</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">ax</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">vx</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">vx</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">])</span> <span class="o">/</span> <span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">t</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">]))</span>

<span class="n">ay</span> <span class="o">=</span> <span class="p">[(</span><span class="n">vy</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">vy</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="o">/</span> <span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">t</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">1</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">vy</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
    <span class="n">ay</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">vy</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">vy</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="p">(</span><span class="n">t</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">t</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">ay</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">vy</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">vy</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">])</span> <span class="o">/</span> <span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">t</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">]))</span>
</pre></div>

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<div class="prompt input_prompt">In&nbsp;[17]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Vecteurs v et a&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;y (m)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;x (m)&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">quiver</span><span class="p">(</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="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">y</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">vx</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">vy</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">scale</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">scale_units</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;green&#39;</span><span class="p">,</span> <span class="n">angles</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">quiver</span><span class="p">(</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="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">y</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">ax</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">ay</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">scale</span><span class="o">=</span><span class="mi">4</span><span class="p">,</span> <span class="n">scale_units</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;red&#39;</span><span class="p">,</span> <span class="n">angles</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">)</span>
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<pre>&lt;matplotlib.quiver.Quiver at 0x7ff667192810&gt;</pre>
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<h3 id="Au-programme-de-2nde-:-variation-de-vecteur-vitesse">Au programme de 2nde : variation de vecteur vitesse<a class="anchor-link" href="#Au-programme-de-2nde-:-variation-de-vecteur-vitesse">&#182;</a></h3><p>C'est très similaire au paragraphe précédent.
La seule différence avec l'accélération est qu'on ne divise pas par le temps !</p>

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<div class="prompt input_prompt">In&nbsp;[18]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># calcul des coordonnées du vecteur variation de vitesse</span>
<span class="n">Dvx</span> <span class="o">=</span> <span class="p">[</span><span class="n">vx</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">vx</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">1</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">vx</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
    <span class="n">Dvx</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">vx</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">vx</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">Dvx</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">vx</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">vx</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">])</span>

<span class="n">Dvy</span> <span class="o">=</span> <span class="p">[</span><span class="n">vy</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">vy</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">1</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">vy</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
    <span class="n">Dvy</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">vy</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">vy</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">Dvy</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">vy</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">vy</span><span class="p">[</span><span class="o">-</span><span class="mi">2</span><span class="p">])</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Vecteurs vitesse et variation de vecteur vitesse&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;y (m)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;x (m)&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">quiver</span><span class="p">(</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="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">y</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">vx</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">vy</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">scale</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">scale_units</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;green&#39;</span><span class="p">,</span> <span class="n">angles</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">quiver</span><span class="p">(</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="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">y</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">Dvx</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">Dvy</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">],</span> <span class="n">scale</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">scale_units</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;red&#39;</span><span class="p">,</span> <span class="n">angles</span><span class="o">=</span><span class="s1">&#39;xy&#39;</span><span class="p">)</span>
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<pre>&lt;matplotlib.quiver.Quiver at 0x7ff6670fde10&gt;</pre>
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