FIZ353_06_a_MatrixApplications_SVD_PCA_3Springs2Bodies.html

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  content: "\e250";
}
.glyphicon-triangle-left:before {
  content: "\e251";
}
.glyphicon-triangle-bottom:before {
  content: "\e252";
}
.glyphicon-triangle-top:before {
  content: "\e253";
}
.glyphicon-console:before {
  content: "\e254";
}
.glyphicon-superscript:before {
  content: "\e255";
}
.glyphicon-subscript:before {
  content: "\e256";
}
.glyphicon-menu-left:before {
  content: "\e257";
}
.glyphicon-menu-right:before {
  content: "\e258";
}
.glyphicon-menu-down:before {
  content: "\e259";
}
.glyphicon-menu-up:before {
  content: "\e260";
}
* {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
*:before,
*:after {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
html {
  font-size: 10px;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 13px;
  line-height: 1.42857143;
  color: #000000;
  background-color: #ffffff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #296eaa;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #1a466c;
  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: #ffffff;
  border: 1px solid #dddddd;
  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;
  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;
}
[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: 400;
  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 {
  padding: .2em;
  background-color: #fcf8e3;
}
.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-right: 5px;
  padding-left: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: 700;
}
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;
}
.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;
  text-align: right;
  border-right: 5px solid #eeeeee;
  border-left: 0;
}
.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: #888888;
  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: 700;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #333333;
  word-break: break-all;
  word-wrap: break-word;
  background-color: #f5f5f5;
  border: 1px solid #cccccc;
  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 {
  padding-right: 0px;
  padding-left: 0px;
  margin-right: auto;
  margin-left: auto;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  padding-right: 0px;
  padding-left: 0px;
  margin-right: auto;
  margin-left: auto;
}
.row {
  margin-right: 0px;
  margin-left: 0px;
}
.row-no-gutters {
  margin-right: 0;
  margin-left: 0;
}
.row-no-gutters [class*="col-"] {
  padding-right: 0;
  padding-left: 0;
}
.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-right: 0px;
  padding-left: 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;
}
table col[class*="col-"] {
  position: static;
  display: table-column;
  float: none;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  display: table-cell;
  float: none;
}
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 #dddddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #dddddd;
}
.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 #dddddd;
}
.table .table {
  background-color: #ffffff;
}
.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 #dddddd;
}
.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 #dddddd;
}
.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 > 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 {
  min-height: .01%;
  overflow-x: auto;
}
@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 #dddddd;
  }
  .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 {
  min-width: 0;
  padding: 0;
  margin: 0;
  border: 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: 700;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
  -webkit-appearance: none;
  appearance: none;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
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;
}
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: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  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: #999999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999999;
}
.form-control::-webkit-input-placeholder {
  color: #999999;
}
.form-control::-ms-expand {
  background-color: transparent;
  border: 0;
}
.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;
}
@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.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: 400;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-top: 4px \9;
  margin-left: -20px;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: 400;
  vertical-align: middle;
  cursor: pointer;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
.form-control-static {
  min-height: 31px;
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-right: 0;
  padding-left: 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;
  background-color: #dff0d8;
  border-color: #3c763d;
}
.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;
  background-color: #fcf8e3;
  border-color: #8a6d3b;
}
.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;
  background-color: #f2dede;
  border-color: #a94442;
}
.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 {
  padding-top: 7px;
  margin-top: 0;
  margin-bottom: 0;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    padding-top: 7px;
    margin-bottom: 0;
    text-align: right;
  }
}
.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;
  white-space: nowrap;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  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: #333333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  background-image: none;
  outline: 0;
  -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;
  filter: alpha(opacity=65);
  opacity: 0.65;
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  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: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.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: #ffffff;
  border-color: #cccccc;
}
.btn-default .badge {
  color: #ffffff;
  background-color: #333333;
}
.btn-primary {
  color: #ffffff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #ffffff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #ffffff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #ffffff;
  background-color: #286090;
  background-image: none;
  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: #ffffff;
  background-color: #204d74;
  border-color: #122b40;
}
.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: #ffffff;
}
.btn-success {
  color: #ffffff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #ffffff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #ffffff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #ffffff;
  background-color: #449d44;
  background-image: none;
  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: #ffffff;
  background-color: #398439;
  border-color: #255625;
}
.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: #ffffff;
}
.btn-info {
  color: #ffffff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #ffffff;
  background-color: #31b0d5;
  background-image: none;
  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: #ffffff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.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: #ffffff;
}
.btn-warning {
  color: #ffffff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #ffffff;
  background-color: #ec971f;
  background-image: none;
  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: #ffffff;
  background-color: #d58512;
  border-color: #985f0d;
}
.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: #ffffff;
}
.btn-danger {
  color: #ffffff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #ffffff;
  background-color: #c9302c;
  background-image: none;
  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: #ffffff;
  background-color: #ac2925;
  border-color: #761c19;
}
.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: #ffffff;
}
.btn-link {
  font-weight: 400;
  color: #296eaa;
  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: #1a466c;
  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;
  font-size: 13px;
  text-align: left;
  list-style: none;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #cccccc;
  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);
}
.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: 400;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  color: #262626;
  text-decoration: none;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #ffffff;
  text-decoration: none;
  background-color: #337ab7;
  outline: 0;
}
.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;
  cursor: not-allowed;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  right: 0;
  left: auto;
}
.dropdown-menu-left {
  right: auto;
  left: 0;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  content: "";
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    right: 0;
    left: auto;
  }
  .navbar-right .dropdown-menu-left {
    right: auto;
    left: 0;
  }
}
.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-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-top-left-radius: 0;
  border-bottom-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-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-left-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-right: 8px;
  padding-left: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-right: 12px;
  padding-left: 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-left-radius: 2px;
  border-top-right-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-left-radius: 0;
  border-top-right-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-left-radius: 0;
  border-top-right-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  display: table-cell;
  float: none;
  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-right: 0;
  padding-left: 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: 400;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #cccccc;
  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-top-right-radius: 0;
  border-bottom-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-top-left-radius: 0;
  border-bottom-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 {
  padding-left: 0;
  margin-bottom: 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;
  cursor: not-allowed;
  background-color: transparent;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #296eaa;
}
.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 #dddddd;
}
.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 #dddddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  cursor: default;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-bottom-color: transparent;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  margin-bottom: 5px;
  text-align: center;
}
.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 #dddddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #dddddd;
    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: #ffffff;
  }
}
.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: #ffffff;
  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 {
  margin-bottom: 5px;
  text-align: center;
}
.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 #dddddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #dddddd;
    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: #ffffff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-left-radius: 0;
  border-top-right-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 {
  padding-right: 0px;
  padding-left: 0px;
  overflow-x: visible;
  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-right: 0;
    padding-left: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
.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;
  }
}
@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;
}
.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-brand {
  float: left;
  height: 30px;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
}
.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;
  padding: 9px 10px;
  margin-right: 0px;
  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 {
  padding: 10px 0px;
  margin-right: 0px;
  margin-left: 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;
    padding-top: 0;
    padding-bottom: 0;
    margin-right: 0;
    margin-left: 0;
    border: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-left-radius: 2px;
  border-top-right-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-right: 0px;
    margin-left: 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: #565656;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #3c3c3c;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777777;
}
.navbar-default .navbar-nav > li > a {
  color: #565656;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #cccccc;
  background-color: transparent;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  color: #555555;
  background-color: #e7e7e7;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #565656;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333333;
    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: #555555;
    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: #cccccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-toggle {
  border-color: #dddddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #dddddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-link {
  color: #565656;
}
.navbar-default .navbar-link:hover {
  color: #333333;
}
.navbar-default .btn-link {
  color: #565656;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333333;
}
.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: #cccccc;
}
.navbar-inverse {
  background-color: #222222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #ffffff;
  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: #ffffff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #ffffff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444444;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  color: #ffffff;
  background-color: #080808;
}
@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: #ffffff;
    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: #ffffff;
    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: #444444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-toggle {
  border-color: #333333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #ffffff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #ffffff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #ffffff;
}
.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: #444444;
}
.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 {
  padding: 0 5px;
  color: #5e5e5e;
  content: "/\00a0";
}
.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;
  margin-left: -1px;
  line-height: 1.42857143;
  color: #296eaa;
  text-decoration: none;
  background-color: #ffffff;
  border: 1px solid #dddddd;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #1a466c;
  background-color: #eeeeee;
  border-color: #dddddd;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-top-left-radius: 2px;
  border-bottom-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-top-right-radius: 2px;
  border-bottom-right-radius: 2px;
}
.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: #ffffff;
  cursor: default;
  background-color: #337ab7;
  border-color: #337ab7;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  cursor: not-allowed;
  background-color: #ffffff;
  border-color: #dddddd;
}
.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-top-left-radius: 3px;
  border-bottom-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-top-right-radius: 3px;
  border-bottom-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-top-left-radius: 1px;
  border-bottom-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-top-right-radius: 1px;
  border-bottom-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  text-align: center;
  list-style: none;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  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;
  cursor: not-allowed;
  background-color: #ffffff;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: 700;
  line-height: 1;
  color: #ffffff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #ffffff;
  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;
  line-height: 1;
  color: #ffffff;
  text-align: center;
  white-space: nowrap;
  vertical-align: middle;
  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: #ffffff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #296eaa;
  background-color: #ffffff;
}
.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 {
  padding-right: 0px;
  padding-left: 0px;
  border-radius: 3px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-right: 60px;
    padding-left: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  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-right: auto;
  margin-left: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #296eaa;
}
.thumbnail .caption {
  padding: 9px;
  color: #000000;
}
.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 {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.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 {
  height: 18px;
  margin-bottom: 18px;
  overflow: hidden;
  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: #ffffff;
  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 {
  overflow: hidden;
  zoom: 1;
}
.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 {
  padding-left: 0;
  margin-bottom: 20px;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #ffffff;
  border: 1px solid #dddddd;
}
.list-group-item:first-child {
  border-top-left-radius: 2px;
  border-top-right-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  color: #777777;
  cursor: not-allowed;
  background-color: #eeeeee;
}
.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: #ffffff;
  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;
}
a.list-group-item,
button.list-group-item {
  color: #555555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  color: #555555;
  text-decoration: none;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.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: #ffffff;
  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-left-radius: 1px;
  border-top-right-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 #dddddd;
  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-left-radius: 1px;
  border-top-right-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-left-radius: 0;
  border-top-right-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-right: 15px;
  padding-left: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-left-radius: 1px;
  border-top-right-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-right-radius: 1px;
  border-bottom-left-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 #dddddd;
}
.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 {
  margin-bottom: 0;
  border: 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 #dddddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #dddddd;
}
.panel-default {
  border-color: #dddddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #dddddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #dddddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #dddddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #ffffff;
  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: #ffffff;
}
.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;
  bottom: 0;
  left: 0;
  width: 100%;
  height: 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: #000000;
  text-shadow: 0 1px 0 #ffffff;
  filter: alpha(opacity=20);
  opacity: 0.2;
}
.close:hover,
.close:focus {
  color: #000000;
  text-decoration: none;
  cursor: pointer;
  filter: alpha(opacity=50);
  opacity: 0.5;
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
  appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  display: none;
  overflow: hidden;
  -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: #ffffff;
  background-clip: padding-box;
  border: 1px solid #999999;
  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);
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000000;
}
.modal-backdrop.fade {
  filter: alpha(opacity=0);
  opacity: 0;
}
.modal-backdrop.in {
  filter: alpha(opacity=50);
  opacity: 0.5;
}
.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-bottom: 0;
  margin-left: 5px;
}
.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: 400;
  line-height: 1.42857143;
  line-break: auto;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  letter-spacing: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  white-space: normal;
  font-size: 12px;
  filter: alpha(opacity=0);
  opacity: 0;
}
.tooltip.in {
  filter: alpha(opacity=90);
  opacity: 0.9;
}
.tooltip.top {
  padding: 5px 0;
  margin-top: -3px;
}
.tooltip.right {
  padding: 0 5px;
  margin-left: 3px;
}
.tooltip.bottom {
  padding: 5px 0;
  margin-top: 3px;
}
.tooltip.left {
  padding: 0 5px;
  margin-left: -3px;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.top-left .tooltip-arrow {
  right: 5px;
  bottom: 0;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #ffffff;
  text-align: center;
  background-color: #000000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.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: 400;
  line-height: 1.42857143;
  line-break: auto;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  letter-spacing: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  white-space: normal;
  font-size: 13px;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #cccccc;
  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 > .arrow {
  border-width: 11px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow:after {
  content: "";
  border-width: 10px;
}
.popover.top > .arrow {
  bottom: -11px;
  left: 50%;
  margin-left: -11px;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  border-bottom-width: 0;
}
.popover.top > .arrow:after {
  bottom: 1px;
  margin-left: -10px;
  content: " ";
  border-top-color: #ffffff;
  border-bottom-width: 0;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
  border-left-width: 0;
}
.popover.right > .arrow:after {
  bottom: -10px;
  left: 1px;
  content: " ";
  border-right-color: #ffffff;
  border-left-width: 0;
}
.popover.bottom > .arrow {
  top: -11px;
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
}
.popover.bottom > .arrow:after {
  top: 1px;
  margin-left: -10px;
  content: " ";
  border-top-width: 0;
  border-bottom-color: #ffffff;
}
.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 {
  right: 1px;
  bottom: -10px;
  content: " ";
  border-right-width: 0;
  border-left-color: #ffffff;
}
.popover-title {
  padding: 8px 14px;
  margin: 0;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  width: 100%;
  overflow: hidden;
}
.carousel-inner > .item {
  position: relative;
  display: none;
  -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;
  bottom: 0;
  left: 0;
  width: 15%;
  font-size: 20px;
  color: #ffffff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
  filter: alpha(opacity=50);
  opacity: 0.5;
}
.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%);
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
  background-repeat: repeat-x;
}
.carousel-control.right {
  right: 0;
  left: auto;
  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%);
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
  background-repeat: repeat-x;
}
.carousel-control:hover,
.carousel-control:focus {
  color: #ffffff;
  text-decoration: none;
  outline: 0;
  filter: alpha(opacity=90);
  opacity: 0.9;
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  z-index: 5;
  display: inline-block;
  margin-top: -10px;
}
.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;
  font-family: serif;
  line-height: 1;
}
.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%;
  padding-left: 0;
  margin-left: -30%;
  text-align: center;
  list-style: none;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
  border: 1px solid #ffffff;
  border-radius: 10px;
}
.carousel-indicators .active {
  width: 12px;
  height: 12px;
  margin: 0;
  background-color: #ffffff;
}
.carousel-caption {
  position: absolute;
  right: 15%;
  bottom: 20px;
  left: 15%;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #ffffff;
  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 {
    right: 20%;
    left: 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 {
  display: table;
  content: " ";
}
.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-right: auto;
  margin-left: 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 #eeeeee;
  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: #ffffff;
}
/* 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: #000000;
}
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 compatibility 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: #ffffff;
  /* 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: #ffffff;
  /* 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,
#shutdown {
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
  margin-left: 10px;
}
span#login_widget > .button:focus,
#logout:focus,
#shutdown:focus,
span#login_widget > .button.focus,
#logout.focus,
#shutdown.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover,
#shutdown:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
#shutdown:active,
span#login_widget > .button.active,
#logout.active,
#shutdown.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout,
.open > .dropdown-toggle#shutdown {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
#shutdown:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
#shutdown.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
.open > .dropdown-toggle#shutdown:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
#shutdown:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
#shutdown.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
.open > .dropdown-toggle#shutdown:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
#shutdown:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
#shutdown.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus,
.open > .dropdown-toggle#shutdown.focus {
  color: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
#shutdown.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
#shutdown[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
fieldset[disabled] #shutdown:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
#shutdown.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
#shutdown[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
fieldset[disabled] #shutdown:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
#shutdown.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
#shutdown[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus,
fieldset[disabled] #shutdown.focus {
  background-color: #ffffff;
  border-color: #cccccc;
}
span#login_widget > .button .badge,
#logout .badge,
#shutdown .badge {
  color: #ffffff;
  background-color: #333333;
}
.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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  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;
  }
}
/* rtl fixes for the error, connecting, and renaming window */
[dir="rtl"] .modal-footer {
  text-align: left !important;
}
[dir="rtl"] .close {
  float: left;
}
[dir="rtl"] .fa-step-forward::before {
  content: "\f048";
}
/*!
*
* 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: #eeeeee;
}
.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 #dddddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #dddddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #dddddd;
}
.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;
}
.file_size {
  width: 65px;
  text-align: right;
}
[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: #357935;
}
.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: #eeeeee;
  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 #dddddd;
}
#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: #eeeeee;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #ffffff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #ffffff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #ffffff;
    -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: #ffffff;
}
/*!
*
* 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-#000000-fg {
  color: #3e424d;
}
.ansi-#000000-bg {
  background-color: #3e424d;
}
.ansi-#000000-intense-fg {
  color: #282c36;
}
.ansi-#000000-intense-bg {
  background-color: #282c36;
}
.ansi-#ff0000-fg {
  color: #e75c58;
}
.ansi-#ff0000-bg {
  background-color: #e75c58;
}
.ansi-#ff0000-intense-fg {
  color: #b22b31;
}
.ansi-#ff0000-intense-bg {
  background-color: #b22b31;
}
.ansi-#008000-fg {
  color: #00a250;
}
.ansi-#008000-bg {
  background-color: #00a250;
}
.ansi-#008000-intense-fg {
  color: #007427;
}
.ansi-#008000-intense-bg {
  background-color: #007427;
}
.ansi-#ffff00-fg {
  color: #ddb62b;
}
.ansi-#ffff00-bg {
  background-color: #ddb62b;
}
.ansi-#ffff00-intense-fg {
  color: #b27d12;
}
.ansi-#ffff00-intense-bg {
  background-color: #b27d12;
}
.ansi-#0000ff-fg {
  color: #208ffb;
}
.ansi-#0000ff-bg {
  background-color: #208ffb;
}
.ansi-#0000ff-intense-fg {
  color: #0065ca;
}
.ansi-#0000ff-intense-bg {
  background-color: #0065ca;
}
.ansi-#ff00ff-fg {
  color: #d160c4;
}
.ansi-#ff00ff-bg {
  background-color: #d160c4;
}
.ansi-#ff00ff-intense-fg {
  color: #a03196;
}
.ansi-#ff00ff-intense-bg {
  background-color: #a03196;
}
.ansi-#00ffff-fg {
  color: #60c6c8;
}
.ansi-#00ffff-bg {
  background-color: #60c6c8;
}
.ansi-#00ffff-intense-fg {
  color: #258f8f;
}
.ansi-#00ffff-intense-bg {
  background-color: #258f8f;
}
.ansi-#ffffff-fg {
  color: #c5c1b4;
}
.ansi-#ffffff-bg {
  background-color: #c5c1b4;
}
.ansi-#ffffff-intense-fg {
  color: #a1a6b2;
}
.ansi-#ffffff-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;
}
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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  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: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  /* 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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@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;
    /* Old browsers */
    -webkit-box-flex: 0;
    -moz-box-flex: 0;
    box-flex: 0;
    /* Modern browsers */
    flex: none;
  }
}
div.prompt_container {
  display: flex;
  flex-direction: row;
  justify-content: space-between;
  align-items: flex-start;
  text-align: right;
}
/* 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.run_this_cell {
  display: none;
  cursor: pointer;
  color: #333;
  padding-top: 5px;
  padding-bottom: 5px;
  padding-left: 2ex;
  padding-right: 2ex;
  width: 1ex;
}
div.prompt {
  min-width: 15ex;
}
@media (-moz-touch-enabled: 1), (any-pointer: coarse) {
  div.run_this_cell {
    display: block;
  }
}
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: #000000;
}
.highlight-variable {
  color: #000000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #007979;
  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: #000000;
}
.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: #007979;
  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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
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 #000000;
  box-shadow: inset 0 0 1px #000000;
  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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@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;
    /* Old browsers */
    -webkit-box-flex: 0;
    -moz-box-flex: 0;
    box-flex: 0;
    /* Modern browsers */
    flex: none;
  }
}
div.output_area pre {
  margin: 0;
  padding: 1px 0 1px 0;
  border: 0;
  vertical-align: baseline;
  color: #000000;
  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: #000000;
  /* 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: #000000;
  /* 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: #000000;
  background-color: #000000;
}
.rendered_html pre {
  margin: 1em 2em;
  padding: 0px;
  background-color: #ffffff;
}
.rendered_html code {
  background-color: #eff0f1;
}
.rendered_html p code {
  padding: 1px 5px;
}
.rendered_html pre code {
  background-color: #ffffff;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  color: #000000;
  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: #000000;
  font-size: 12px;
  table-layout: fixed;
}
.rendered_html thead {
  border-bottom: 1px solid #000000;
  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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@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: #000000;
  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;
  padding-bottom: 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: #ffffff;
    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: #eeeeee;
  }
}
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-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  /* 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: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  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: #999999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999999;
}
.celltoolbar select::-ms-expand {
  background-color: transparent;
  border: 0;
}
.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), #eeeeee);
}
.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: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  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: #999999;
  opacity: 1;
}
.cell-tag:-ms-input-placeholder,
.tags-input input:-ms-input-placeholder,
.tags-input button:-ms-input-placeholder {
  color: #999999;
}
.cell-tag::-webkit-input-placeholder,
.tags-input input::-webkit-input-placeholder,
.tags-input button::-webkit-input-placeholder {
  color: #999999;
}
.cell-tag::-ms-expand,
.tags-input input::-ms-expand,
.tags-input button::-ms-expand {
  background-color: transparent;
  border: 0;
}
.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: #000000;
  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: #565656;
  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: #565656;
  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: #565656;
  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: #565656;
  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: #565656;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  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: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.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: #ffffff;
  border-color: #cccccc;
}
.notification_widget .badge {
  color: #ffffff;
  background-color: #333333;
}
.notification_widget.warning {
  background-color: #f0ad4e;
  border-color: #eea236;
  color: #ffffff;
  background-color: #b46102;
  border-color: #b46102;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #ffffff;
  background-color: #ec971f;
  background-image: none;
  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: #ffffff;
  background-color: #d58512;
  border-color: #985f0d;
}
.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: #ffffff;
}
.notification_widget.success {
  color: #ffffff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #ffffff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #ffffff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #ffffff;
  background-color: #449d44;
  background-image: none;
  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: #ffffff;
  background-color: #398439;
  border-color: #255625;
}
.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: #ffffff;
}
.notification_widget.info {
  color: #ffffff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #ffffff;
  background-color: #31b0d5;
  background-image: none;
  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: #ffffff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.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: #ffffff;
}
.notification_widget.danger {
  background-color: #d9534f;
  border-color: #d43f3a;
  color: #ffffff;
  background-color: #df0404;
  border-color: #df0404;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #ffffff;
  background-color: #c9302c;
  background-image: none;
  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: #ffffff;
  background-color: #ac2925;
  border-color: #761c19;
}
.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: #ffffff;
}
div#pager {
  background-color: #ffffff;
  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: #000000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-button-area .ui-button {
  padding-top: 0px;
  padding-bottom: 0px;
  padding-right: 10px;
  padding-left: 10px;
}
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;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  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: 85px;
}
.tooltipbuttons {
  position: absolute;
  padding-right: 15px;
  top: 0px;
  right: 0px;
}
.tooltipbuttons .ui-button {
  padding-top: 0px;
  padding-bottom: 0px;
  padding-right: 10px;
  padding-left: 10px;
}
.tooltiptext {
  /*avoid the button to overlap on some docstring*/
  padding-right: 30px;
  /*avoid the ui-icon(s) from overlapping the tooltip*/
  padding-top: 5px;
}
.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: #eeeeee;
}
.terminal-app #header {
  background: #ffffff;
  -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);
  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-container {
  padding-top: 20px;
  height: 100%;
}
.terminal-app #terminado-container {
  height: 100%;
}
.btn-danger {
  color: #ffffff;
  background-color: #df0404;
  border-color: #df0404;
}
.btn-warning {
  color: #ffffff;
  background-color: #b46102;
  border-color: #b46102;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000000;
  text-shadow: 0 1px 0 #ffffff;
  filter: alpha(opacity=60);
  opacity: 0.6;
}
.close:hover,
.close:focus {
  color: #000000;
  text-decoration: none;
  cursor: pointer;
  filter: alpha(opacity=100);
  opacity: 1;
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
  appearance: none;
}
.navbar-nav > li > a {
  color: #565656;
}
.navbar-nav > li > a:focus {
  /* -webkit-focus-ring-color = '#5B9DD9' */
  outline: -webkit-focus-ring-color auto 5px;
}
/*# 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 */
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<h1 id="Matrix-Applications:-SVD-&amp;-PCA">Matrix Applications: SVD &amp; PCA<a class="anchor-link" href="#Matrix-Applications:-SVD-&amp;-PCA">&#182;</a></h1><p><strong>FIZ353 - Numerical Analysis | 20/11/2020</strong></p>
<p>Emre S. Tasci <a href="mailto:emre.tasci@hacettepe.edu.tr">emre.tasci@hacettepe.edu.tr</a></p>

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<h1 id="Two-bodies,-three-springs">Two bodies, three springs<a class="anchor-link" href="#Two-bodies,-three-springs">&#182;</a></h1><p><img src="data:image/svg+xml;base64,<?xml version="1.0" standalone="no"?>
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<p>We had investigated a system of two bodies attached to three springs <a href="https://emresururi.github.io/FIZ220/FIZ220_EST_UygulamaNotlari_08_LineerCebir_Uygulamalari_2.html">in our FIZ220 - Computer Programming II course before</a> (you can also refer to <a href="http://teacher.pas.rochester.edu/PHY235/LectureNotes/Chapter12/Chapter12.pdf">Prof. Frank L.H. Wolfs' Phys235 Lecture Notes, chp. 12 on "Coupled Oscillations"</a>).</p>
<p>The general solution when there is no initial velocity, only initial displacements $x_1(0)$ &amp; $x_2(0)$ is given by:</p>
$$\begin{gathered}x_1(t)=2B_1\cos{\omega_1 t}+ 2B_2\cos{\omega_2 t}\\
x_2(t)=2B_1\cos{\omega_1 t}- 2B_2\cos{\omega_2 t}\end{gathered}$$<p>where:
$$\begin{gathered}B_1 = \frac{x_1(0)+x_2(0)}{4},\, B_2 = \frac{x_1(0)-x_2(0)}{4}\\
\Updownarrow\\
x_1(0) = 2\left(B_1+B_2\right),\, x_2(0) = 2\left(B_1-B_2\right)\end{gathered}$$</p>
<p>and $\omega_1 = \sqrt{\tfrac{k}{m}}$, $\omega_2 = \sqrt{\tfrac{k+2\kappa}{m}}$</p>
<p>(I'm well aware of the redundant '2' factor, alas just left it like that to be compatible with the general solution when one has <strong>both</strong> initial displacement <em>and</em> velocity)</p>
<p>What we will do today is, we will obtain the position data for the system and after <em>forgetting</em> about how we acquired them, will decompose it into modes using PCA.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">k1</span> <span class="o">=</span> <span class="mi">3</span> <span class="c1"># N/m # Spring constant</span>
<span class="n">k2</span> <span class="o">=</span> <span class="mi">5</span> 

<span class="n">m1</span> <span class="o">=</span> <span class="mi">1</span> <span class="c1"># kg # Mass</span>
<span class="n">m2</span> <span class="o">=</span> <span class="mi">1</span>

<span class="n">X1_0</span> <span class="o">=</span>  <span class="mi">7</span> <span class="c1"># cm # initial displacement</span>
<span class="n">X2_0</span> <span class="o">=</span>  <span class="mi">5</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">B1</span> <span class="o">=</span> <span class="p">(</span><span class="n">X1_0</span> <span class="o">+</span> <span class="n">X2_0</span><span class="p">)</span><span class="o">/</span><span class="mi">4</span>
<span class="n">B2</span> <span class="o">=</span> <span class="p">(</span><span class="n">X1_0</span> <span class="o">-</span> <span class="n">X2_0</span><span class="p">)</span><span class="o">/</span><span class="mi">4</span>

<span class="n">w1</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">k1</span><span class="o">/</span><span class="n">m1</span><span class="p">)</span>
<span class="n">w2</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">((</span><span class="n">k1</span><span class="o">+</span><span class="mi">2</span><span class="o">*</span><span class="n">k2</span><span class="p">)</span><span class="o">/</span><span class="n">m1</span><span class="p">)</span>

<span class="n">N</span> <span class="o">=</span> <span class="mi">50</span> <span class="c1"># Number of observations</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="n">N</span><span class="p">)</span>
<span class="n">x1</span> <span class="o">=</span>  <span class="mi">2</span><span class="o">*</span><span class="n">B1</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">w1</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="o">*</span><span class="n">B2</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">w2</span><span class="o">*</span><span class="n">t</span><span class="p">)</span>
<span class="n">x2</span> <span class="o">=</span>  <span class="mi">2</span><span class="o">*</span><span class="n">B1</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">w1</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="o">*</span><span class="n">B2</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">w2</span><span class="o">*</span><span class="n">t</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">tt</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">1000</span><span class="p">)</span>
<span class="n">xx1</span> <span class="o">=</span>  <span class="mi">2</span><span class="o">*</span><span class="n">B1</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">w1</span><span class="o">*</span><span class="n">tt</span><span class="p">)</span> <span class="o">+</span> <span class="mi">2</span><span class="o">*</span><span class="n">B2</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">w2</span><span class="o">*</span><span class="n">tt</span><span class="p">)</span>
<span class="n">xx2</span> <span class="o">=</span>  <span class="mi">2</span><span class="o">*</span><span class="n">B1</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">w1</span><span class="o">*</span><span class="n">tt</span><span class="p">)</span> <span class="o">-</span> <span class="mi">2</span><span class="o">*</span><span class="n">B2</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">w2</span><span class="o">*</span><span class="n">tt</span><span class="p">)</span>
<span class="c1">#plt.plot(tt,xx1,&quot;r-&quot;,tt,xx2,&quot;b-&quot;)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tt</span><span class="p">,</span><span class="n">xx1</span><span class="p">,</span><span class="s2">&quot;r-&quot;</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">tt</span><span class="p">,</span><span class="n">xx2</span><span class="p">,</span><span class="s2">&quot;b-&quot;</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">t</span><span class="p">,</span><span class="n">x1</span><span class="p">,</span><span class="s2">&quot;or&quot;</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">t</span><span class="p">,</span><span class="n">x2</span><span class="p">,</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;t (s)&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;x (cm)&quot;</span><span class="p">)</span>
<span class="c1">#plt.yticks(np.arange(-5,6))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;Positions vs. Time&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="n">axis</span><span class="o">=</span><span class="s1">&#39;y&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">((</span><span class="s2">&quot;1st Body ($x_1$)&quot;</span><span class="p">,</span><span class="s2">&quot;2nd Body ($x_2$)&quot;</span><span class="p">),</span>\
           <span class="n">bbox_to_anchor</span><span class="o">=</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mf">1.03</span><span class="p">))</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>So, the harmonic motion is obvious. But keep in mind that this is the position vs. time graph. The projected displacement graphs would look like:</p>

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<div class="prompt input_prompt">In&nbsp;[5]:</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">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">N</span><span class="p">,</span><span class="mi">1</span><span class="p">)),</span><span class="n">x1</span><span class="p">,</span><span class="s2">&quot;xr&quot;</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">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">N</span><span class="p">,</span><span class="mi">1</span><span class="p">))</span><span class="o">+</span><span class="mf">0.02</span><span class="p">,</span><span class="n">x2</span><span class="p">,</span><span class="s2">&quot;xb&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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<p>Before proceeding further, we are going the adjust the data by subtracting the mean of each set (i.e., "centering"), thus fixing the mean to 0. This is necessary to identify the SVD with the covariance matrix.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">x1_norm</span> <span class="o">=</span> <span class="n">x1</span> <span class="o">-</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">x1</span><span class="p">)</span>
<span class="n">x2_norm</span> <span class="o">=</span> <span class="n">x2</span> <span class="o">-</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">x2</span><span class="p">)</span>

<span class="n">tt</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">1000</span><span class="p">)</span>
<span class="n">xx1_norm</span> <span class="o">=</span> <span class="mi">2</span><span class="o">*</span><span class="n">B1</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">w1</span><span class="o">*</span><span class="n">tt</span><span class="p">)</span> <span class="o">+</span> <span class="mi">2</span><span class="o">*</span><span class="n">B2</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">w2</span><span class="o">*</span><span class="n">tt</span><span class="p">)</span> <span class="o">-</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">xx1</span><span class="p">)</span>
<span class="n">xx2_norm</span> <span class="o">=</span> <span class="mi">2</span><span class="o">*</span><span class="n">B1</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">w1</span><span class="o">*</span><span class="n">tt</span><span class="p">)</span> <span class="o">-</span> <span class="mi">2</span><span class="o">*</span><span class="n">B2</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">w2</span><span class="o">*</span><span class="n">tt</span><span class="p">)</span> <span class="o">-</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">xx2</span><span class="p">)</span>
<span class="c1">#plt.plot(tt,xx1,&quot;r-&quot;,tt,xx2,&quot;b-&quot;)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tt</span><span class="p">,</span><span class="n">xx1_norm</span><span class="p">,</span><span class="s2">&quot;r-&quot;</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">tt</span><span class="p">,</span><span class="n">xx2_norm</span><span class="p">,</span><span class="s2">&quot;b-&quot;</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">t</span><span class="p">,</span><span class="n">x1_norm</span><span class="p">,</span><span class="s2">&quot;or&quot;</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">t</span><span class="p">,</span><span class="n">x2_norm</span><span class="p">,</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;t (s)&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;x (m)&quot;</span><span class="p">)</span>
<span class="c1">#plt.yticks(np.arange(-5,6))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;&#39;Centered&#39; Positions vs. Time&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="n">axis</span><span class="o">=</span><span class="s1">&#39;y&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">((</span><span class="s2">&quot;1st Body ($x_1$)&quot;</span><span class="p">,</span><span class="s2">&quot;2nd Body ($x_2$)&quot;</span><span class="p">),</span> \
           <span class="n">title</span><span class="o">=</span><span class="s2">&quot;Normalized&quot;</span><span class="p">,</span> <span class="n">bbox_to_anchor</span><span class="o">=</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mf">1.03</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">N</span><span class="p">,</span><span class="mi">1</span><span class="p">)),</span><span class="n">x1_norm</span><span class="p">,</span><span class="s2">&quot;or&quot;</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">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">N</span><span class="p">,</span><span class="mi">1</span><span class="p">))</span><span class="o">+</span><span class="mf">0.02</span><span class="p">,</span><span class="n">x2_norm</span><span class="p">,</span><span class="s2">&quot;ob&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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<p>For harmonic motions, means usually aren't that much large but still, it's good to take care. After the analysis, one can always go back to the original data set by adding the means (c.f. PCA section of our 5th Lecture Notes ("Matrix Decompositions | 06/11/2020).</p>

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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="nb">print</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">x1</span><span class="p">),</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">x2</span><span class="p">))</span>
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<pre>-0.011644573795265263 -0.015061002591783551
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<p>and this is how the relative motion of the two bodies looks like:</p>

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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">x1_norm</span><span class="p">,</span><span class="n">x2_norm</span><span class="p">,</span><span class="s2">&quot;.&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;$x_2$ vs. $x_1$&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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src="data:image/png;base64,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<p>We are going to collect the centered $x_1$ and $x_2$ data into a data set called <code>data_all</code> so that we can calculate the covariance matrix directly:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data_all</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">x1_norm</span><span class="p">,</span><span class="n">x2_norm</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="n">data_all</span><span class="p">[:,</span><span class="mi">0</span><span class="p">:</span><span class="mi">5</span><span class="p">])</span>
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<pre>[[ 7.01164457  4.67266654 -0.03135346 -3.41796165 -4.77305345]
 [ 5.015061    4.47812215  1.93287448 -2.82842056 -6.61441882]]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">S</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">data_all</span><span class="p">,</span><span class="n">data_all</span><span class="o">.</span><span class="n">T</span><span class="p">)</span><span class="o">/</span><span class="p">(</span><span class="n">N</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">S</span><span class="p">)</span>
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<pre>[[19.49440528 18.24765088]
 [18.24765088 19.08107514]]
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<p>We can easily verify that this is indeed the covariance matrix:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">Sigma</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">cov</span><span class="p">(</span><span class="n">data_all</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">Sigma</span><span class="p">)</span>
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<pre>[[19.49440528 18.24765088]
 [18.24765088 19.08107514]]
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<p>Now comes the SVD decomposition. From here, one can see that, PCA is a very special case of SVD where the $A$ matrix is decomposed in such a way that $V=U$: 
$$ A=U\Sigma U^T$$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="p">[</span><span class="n">u</span><span class="p">,</span><span class="n">s</span><span class="p">,</span><span class="n">vh</span><span class="p">]</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">svd</span><span class="p">(</span><span class="n">S</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">u</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">s</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">vh</span><span class="p">)</span>
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<pre>[[-0.71109945 -0.70309144]
 [-0.70309144  0.71109945]] 

 [37.53656135  1.03891907] 

 [[-0.71109945 -0.70309144]
 [-0.70309144  0.71109945]]
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<p>As was the case with the SVD, the $\sigma$ values indicate the "importance" (or, more correctly, "dominance") of each of the unit vectors (hence, their directions). Also, due to the characteristic of SVD, the vectors are normal to each other.</p>
<p>From the vectors above, we see that their directions are along the $x_2\approx x_1$ ($m_1 = 0.989$)  and $x_2\approx -x_1$ ($m_2 = -1.011$). This means that, the first mode is dominant. (We have by the way, automatically identified the normal modes).</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">u1</span><span class="o">=</span><span class="n">u</span><span class="p">[:,</span><span class="mi">0</span><span class="p">]</span>
<span class="n">u2</span><span class="o">=</span><span class="n">u</span><span class="p">[:,</span><span class="mi">1</span><span class="p">]</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;m1:</span><span class="si">{:10.6f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">u1</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">/</span><span class="n">u1</span><span class="p">[</span><span class="mi">0</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;m2:</span><span class="si">{:10.6f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">u2</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">/</span><span class="n">u2</span><span class="p">[</span><span class="mi">0</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">u1</span><span class="p">,</span><span class="n">u2</span><span class="p">))</span>
<span class="n">m1</span><span class="o">=</span><span class="n">u1</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">/</span><span class="n">u1</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">m2</span><span class="o">=</span><span class="n">u2</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">/</span><span class="n">u2</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
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<pre>m1:  0.988739
m2: -1.011390
2.7755575615628914e-16
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<p>We seperately calculate the modes' decomposition by multiplying our vectors with the data - in other words, we are projecting the given data unto the principal axes. As the vectors are unit vectors, the actual results will differ by a scalar (can be positive or negative); keep in mind that what matters was the slopes, hence the directions.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">res</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="o">-</span><span class="n">u</span><span class="o">.</span><span class="n">T</span><span class="p">,</span><span class="n">data_all</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">res</span><span class="o">.</span><span class="n">shape</span>
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<pre>(2, 50)</pre>
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<p>Here are the first 8 of each mode's components: the top row indicates the primary(/principal) component, and the next one being the secondary, etc.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">with</span> <span class="n">np</span><span class="o">.</span><span class="n">printoptions</span><span class="p">(</span><span class="n">formatter</span><span class="o">=</span><span class="p">{</span><span class="s1">&#39;float&#39;</span><span class="p">:</span> <span class="s1">&#39;</span><span class="si">{:7.3f}</span><span class="s1">&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">}):</span>
    <span class="nb">print</span><span class="p">(</span><span class="n">res</span><span class="p">[:,</span><span class="mi">0</span><span class="p">:</span><span class="mi">8</span><span class="p">])</span>
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<pre>[[  8.512   6.471   1.337  -4.419  -8.045  -7.815  -3.835   2.000]
 [  1.364   0.101  -1.397  -0.392   1.348   0.715  -1.152  -0.918]]
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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">res</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">N</span><span class="p">),</span><span class="s2">&quot;r+&quot;</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">res</span><span class="p">[</span><span class="mi">1</span><span class="p">,:],</span><span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">N</span><span class="p">)</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="s2">&quot;b+&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>Plotting the modes' components against each other and comparing it with the "$x_2$ vs $x_1$" graph above shows the success of the normalization process via the modes.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">fig</span><span class="p">,</span><span class="n">ax</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">res</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span> <span class="n">res</span><span class="p">[</span><span class="mi">1</span><span class="p">,:],</span><span class="s2">&quot;o&quot;</span><span class="p">,)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_aspect</span><span class="p">(</span><span class="s1">&#39;equal&#39;</span><span class="p">,</span> <span class="s1">&#39;datalim&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>To put our findings into work, here is a comparison of the acquired components (denoted by "x") against "optimal" (/"convenient") coordinates formed from our actual data ("denoted by "o"):</p>

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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;Modes Fitting&quot;</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">res</span><span class="p">[</span><span class="mi">0</span><span class="p">,:],</span><span class="s2">&quot;rx-&quot;</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">res</span><span class="p">[</span><span class="mi">1</span><span class="p">,:],</span><span class="s2">&quot;bx-&quot;</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">x1_norm</span><span class="o">+</span><span class="n">x2_norm</span><span class="p">),</span><span class="s2">&quot;ro-&quot;</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">x1_norm</span><span class="o">-</span><span class="n">x2_norm</span><span class="p">),</span><span class="s2">&quot;bo-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>As commented above, it is usual that they differ by a scalar due to the normalized unit vectors.</p>
<p>And below, only the convenient coordinates formed from the actual data are presented:</p>

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<div class="prompt input_prompt">In&nbsp;[20]:</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">x1_norm</span><span class="o">+</span><span class="n">x2_norm</span><span class="p">),</span><span class="s2">&quot;rx-&quot;</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">x1_norm</span><span class="o">-</span><span class="n">x2_norm</span><span class="p">),</span><span class="s2">&quot;bx-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>Here comes the essential part: fitting of the actual data along via principal component.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">m1</span><span class="p">,</span><span class="n">m2</span>
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<pre>(0.9887385610076743, -1.0113897034427868)</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">fig</span><span class="p">,</span><span class="n">ax1</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
<span class="n">ax1</span><span class="o">.</span><span class="n">set_aspect</span><span class="p">(</span><span class="s1">&#39;equal&#39;</span><span class="p">,</span><span class="s1">&#39;datalim&#39;</span><span class="p">)</span>
<span class="n">xxx</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="o">-</span><span class="mi">10</span><span class="p">,</span><span class="mi">15</span><span class="p">,</span><span class="mi">100</span><span class="p">)</span>
<span class="n">y1</span> <span class="o">=</span> <span class="n">m1</span> <span class="o">*</span> <span class="n">xxx</span>
<span class="n">y2</span> <span class="o">=</span> <span class="n">m2</span> <span class="o">*</span> <span class="n">xxx</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x1_norm</span><span class="p">,</span><span class="n">x2_norm</span><span class="p">,</span><span class="s2">&quot;ro&quot;</span><span class="p">,</span><span class="n">xxx</span><span class="p">,</span><span class="n">y1</span><span class="p">,</span><span class="s2">&quot;b-&quot;</span><span class="p">,</span><span class="n">xxx</span><span class="p">,</span><span class="n">y2</span><span class="p">,</span><span class="s2">&quot;g-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
<span class="nb">print</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
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<pre>[37.53656135  1.03891907]
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<p>The $\sigma$ values tell us that we could represent this system as a "pure" mode 1 ($x_1(0) = x_2(0),\,\omega=\sqrt{\tfrac{k}{m}}$), and...</p>

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<div class="prompt input_prompt">In&nbsp;[23]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">s</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">/</span><span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">s</span><span class="p">)</span><span class="o">*</span><span class="mi">100</span>
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<pre>2.6932109670845197</pre>
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<p>...would be off only by: 2.7% !</p>

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