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.glyphicon-triangle-bottom:before {
  content: "\e252";
}
.glyphicon-triangle-top:before {
  content: "\e253";
}
.glyphicon-console:before {
  content: "\e254";
}
.glyphicon-superscript:before {
  content: "\e255";
}
.glyphicon-subscript:before {
  content: "\e256";
}
.glyphicon-menu-left:before {
  content: "\e257";
}
.glyphicon-menu-right:before {
  content: "\e258";
}
.glyphicon-menu-down:before {
  content: "\e259";
}
.glyphicon-menu-up:before {
  content: "\e260";
}
* {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
*:before,
*:after {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
html {
  font-size: 10px;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 13px;
  line-height: 1.42857143;
  color: #000;
  background-color: #fff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #337ab7;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #23527c;
  text-decoration: underline;
}
a:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
figure {
  margin: 0;
}
img {
  vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  display: block;
  max-width: 100%;
  height: auto;
}
.img-rounded {
  border-radius: 3px;
}
.img-thumbnail {
  padding: 4px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: all 0.2s ease-in-out;
  -o-transition: all 0.2s ease-in-out;
  transition: all 0.2s ease-in-out;
  display: inline-block;
  max-width: 100%;
  height: auto;
}
.img-circle {
  border-radius: 50%;
}
hr {
  margin-top: 18px;
  margin-bottom: 18px;
  border: 0;
  border-top: 1px solid #eeeeee;
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  margin: -1px;
  padding: 0;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
[role="button"] {
  cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
  font-family: inherit;
  font-weight: 500;
  line-height: 1.1;
  color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
  font-weight: normal;
  line-height: 1;
  color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
  margin-top: 18px;
  margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
  font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
  margin-top: 9px;
  margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
  font-size: 75%;
}
h1,
.h1 {
  font-size: 33px;
}
h2,
.h2 {
  font-size: 27px;
}
h3,
.h3 {
  font-size: 23px;
}
h4,
.h4 {
  font-size: 17px;
}
h5,
.h5 {
  font-size: 13px;
}
h6,
.h6 {
  font-size: 12px;
}
p {
  margin: 0 0 9px;
}
.lead {
  margin-bottom: 18px;
  font-size: 14px;
  font-weight: 300;
  line-height: 1.4;
}
@media (min-width: 768px) {
  .lead {
    font-size: 19.5px;
  }
}
small,
.small {
  font-size: 92%;
}
mark,
.mark {
  background-color: #fcf8e3;
  padding: .2em;
}
.text-left {
  text-align: left;
}
.text-right {
  text-align: right;
}
.text-center {
  text-align: center;
}
.text-justify {
  text-align: justify;
}
.text-nowrap {
  white-space: nowrap;
}
.text-lowercase {
  text-transform: lowercase;
}
.text-uppercase {
  text-transform: uppercase;
}
.text-capitalize {
  text-transform: capitalize;
}
.text-muted {
  color: #777777;
}
.text-primary {
  color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
  color: #286090;
}
.text-success {
  color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
  color: #2b542c;
}
.text-info {
  color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
  color: #245269;
}
.text-warning {
  color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
  color: #66512c;
}
.text-danger {
  color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
  color: #843534;
}
.bg-primary {
  color: #fff;
  background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
  background-color: #286090;
}
.bg-success {
  background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
  background-color: #c1e2b3;
}
.bg-info {
  background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
  background-color: #afd9ee;
}
.bg-warning {
  background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
  background-color: #f7ecb5;
}
.bg-danger {
  background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
  background-color: #e4b9b9;
}
.page-header {
  padding-bottom: 8px;
  margin: 36px 0 18px;
  border-bottom: 1px solid #eeeeee;
}
ul,
ol {
  margin-top: 0;
  margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
  margin-bottom: 0;
}
.list-unstyled {
  padding-left: 0;
  list-style: none;
}
.list-inline {
  padding-left: 0;
  list-style: none;
  margin-left: -5px;
}
.list-inline > li {
  display: inline-block;
  padding-left: 5px;
  padding-right: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: bold;
}
dd {
  margin-left: 0;
}
@media (min-width: 541px) {
  .dl-horizontal dt {
    float: left;
    width: 160px;
    clear: left;
    text-align: right;
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
  }
  .dl-horizontal dd {
    margin-left: 180px;
  }
}
abbr[title],
abbr[data-original-title] {
  cursor: help;
  border-bottom: 1px dotted #777777;
}
.initialism {
  font-size: 90%;
  text-transform: uppercase;
}
blockquote {
  padding: 9px 18px;
  margin: 0 0 18px;
  font-size: inherit;
  border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
  margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
  display: block;
  font-size: 80%;
  line-height: 1.42857143;
  color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
  content: '\2014 \00A0';
}
.blockquote-reverse,
blockquote.pull-right {
  padding-right: 15px;
  padding-left: 0;
  border-right: 5px solid #eeeeee;
  border-left: 0;
  text-align: right;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
  content: '';
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
  content: '\00A0 \2014';
}
address {
  margin-bottom: 18px;
  font-style: normal;
  line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
  font-family: monospace;
}
code {
  padding: 2px 4px;
  font-size: 90%;
  color: #c7254e;
  background-color: #f9f2f4;
  border-radius: 2px;
}
kbd {
  padding: 2px 4px;
  font-size: 90%;
  color: #888;
  background-color: transparent;
  border-radius: 1px;
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
  padding: 0;
  font-size: 100%;
  font-weight: bold;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  word-break: break-all;
  word-wrap: break-word;
  color: #333333;
  background-color: #f5f5f5;
  border: 1px solid #ccc;
  border-radius: 2px;
}
pre code {
  padding: 0;
  font-size: inherit;
  color: inherit;
  white-space: pre-wrap;
  background-color: transparent;
  border-radius: 0;
}
.pre-scrollable {
  max-height: 340px;
  overflow-y: scroll;
}
.container {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  margin-right: auto;
  margin-left: auto;
  padding-left: 0px;
  padding-right: 0px;
}
.row {
  margin-left: 0px;
  margin-right: 0px;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
  position: relative;
  min-height: 1px;
  padding-left: 0px;
  padding-right: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
  float: left;
}
.col-xs-12 {
  width: 100%;
}
.col-xs-11 {
  width: 91.66666667%;
}
.col-xs-10 {
  width: 83.33333333%;
}
.col-xs-9 {
  width: 75%;
}
.col-xs-8 {
  width: 66.66666667%;
}
.col-xs-7 {
  width: 58.33333333%;
}
.col-xs-6 {
  width: 50%;
}
.col-xs-5 {
  width: 41.66666667%;
}
.col-xs-4 {
  width: 33.33333333%;
}
.col-xs-3 {
  width: 25%;
}
.col-xs-2 {
  width: 16.66666667%;
}
.col-xs-1 {
  width: 8.33333333%;
}
.col-xs-pull-12 {
  right: 100%;
}
.col-xs-pull-11 {
  right: 91.66666667%;
}
.col-xs-pull-10 {
  right: 83.33333333%;
}
.col-xs-pull-9 {
  right: 75%;
}
.col-xs-pull-8 {
  right: 66.66666667%;
}
.col-xs-pull-7 {
  right: 58.33333333%;
}
.col-xs-pull-6 {
  right: 50%;
}
.col-xs-pull-5 {
  right: 41.66666667%;
}
.col-xs-pull-4 {
  right: 33.33333333%;
}
.col-xs-pull-3 {
  right: 25%;
}
.col-xs-pull-2 {
  right: 16.66666667%;
}
.col-xs-pull-1 {
  right: 8.33333333%;
}
.col-xs-pull-0 {
  right: auto;
}
.col-xs-push-12 {
  left: 100%;
}
.col-xs-push-11 {
  left: 91.66666667%;
}
.col-xs-push-10 {
  left: 83.33333333%;
}
.col-xs-push-9 {
  left: 75%;
}
.col-xs-push-8 {
  left: 66.66666667%;
}
.col-xs-push-7 {
  left: 58.33333333%;
}
.col-xs-push-6 {
  left: 50%;
}
.col-xs-push-5 {
  left: 41.66666667%;
}
.col-xs-push-4 {
  left: 33.33333333%;
}
.col-xs-push-3 {
  left: 25%;
}
.col-xs-push-2 {
  left: 16.66666667%;
}
.col-xs-push-1 {
  left: 8.33333333%;
}
.col-xs-push-0 {
  left: auto;
}
.col-xs-offset-12 {
  margin-left: 100%;
}
.col-xs-offset-11 {
  margin-left: 91.66666667%;
}
.col-xs-offset-10 {
  margin-left: 83.33333333%;
}
.col-xs-offset-9 {
  margin-left: 75%;
}
.col-xs-offset-8 {
  margin-left: 66.66666667%;
}
.col-xs-offset-7 {
  margin-left: 58.33333333%;
}
.col-xs-offset-6 {
  margin-left: 50%;
}
.col-xs-offset-5 {
  margin-left: 41.66666667%;
}
.col-xs-offset-4 {
  margin-left: 33.33333333%;
}
.col-xs-offset-3 {
  margin-left: 25%;
}
.col-xs-offset-2 {
  margin-left: 16.66666667%;
}
.col-xs-offset-1 {
  margin-left: 8.33333333%;
}
.col-xs-offset-0 {
  margin-left: 0%;
}
@media (min-width: 768px) {
  .col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
    float: left;
  }
  .col-sm-12 {
    width: 100%;
  }
  .col-sm-11 {
    width: 91.66666667%;
  }
  .col-sm-10 {
    width: 83.33333333%;
  }
  .col-sm-9 {
    width: 75%;
  }
  .col-sm-8 {
    width: 66.66666667%;
  }
  .col-sm-7 {
    width: 58.33333333%;
  }
  .col-sm-6 {
    width: 50%;
  }
  .col-sm-5 {
    width: 41.66666667%;
  }
  .col-sm-4 {
    width: 33.33333333%;
  }
  .col-sm-3 {
    width: 25%;
  }
  .col-sm-2 {
    width: 16.66666667%;
  }
  .col-sm-1 {
    width: 8.33333333%;
  }
  .col-sm-pull-12 {
    right: 100%;
  }
  .col-sm-pull-11 {
    right: 91.66666667%;
  }
  .col-sm-pull-10 {
    right: 83.33333333%;
  }
  .col-sm-pull-9 {
    right: 75%;
  }
  .col-sm-pull-8 {
    right: 66.66666667%;
  }
  .col-sm-pull-7 {
    right: 58.33333333%;
  }
  .col-sm-pull-6 {
    right: 50%;
  }
  .col-sm-pull-5 {
    right: 41.66666667%;
  }
  .col-sm-pull-4 {
    right: 33.33333333%;
  }
  .col-sm-pull-3 {
    right: 25%;
  }
  .col-sm-pull-2 {
    right: 16.66666667%;
  }
  .col-sm-pull-1 {
    right: 8.33333333%;
  }
  .col-sm-pull-0 {
    right: auto;
  }
  .col-sm-push-12 {
    left: 100%;
  }
  .col-sm-push-11 {
    left: 91.66666667%;
  }
  .col-sm-push-10 {
    left: 83.33333333%;
  }
  .col-sm-push-9 {
    left: 75%;
  }
  .col-sm-push-8 {
    left: 66.66666667%;
  }
  .col-sm-push-7 {
    left: 58.33333333%;
  }
  .col-sm-push-6 {
    left: 50%;
  }
  .col-sm-push-5 {
    left: 41.66666667%;
  }
  .col-sm-push-4 {
    left: 33.33333333%;
  }
  .col-sm-push-3 {
    left: 25%;
  }
  .col-sm-push-2 {
    left: 16.66666667%;
  }
  .col-sm-push-1 {
    left: 8.33333333%;
  }
  .col-sm-push-0 {
    left: auto;
  }
  .col-sm-offset-12 {
    margin-left: 100%;
  }
  .col-sm-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-sm-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-sm-offset-9 {
    margin-left: 75%;
  }
  .col-sm-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-sm-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-sm-offset-6 {
    margin-left: 50%;
  }
  .col-sm-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-sm-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-sm-offset-3 {
    margin-left: 25%;
  }
  .col-sm-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-sm-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-sm-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 992px) {
  .col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
    float: left;
  }
  .col-md-12 {
    width: 100%;
  }
  .col-md-11 {
    width: 91.66666667%;
  }
  .col-md-10 {
    width: 83.33333333%;
  }
  .col-md-9 {
    width: 75%;
  }
  .col-md-8 {
    width: 66.66666667%;
  }
  .col-md-7 {
    width: 58.33333333%;
  }
  .col-md-6 {
    width: 50%;
  }
  .col-md-5 {
    width: 41.66666667%;
  }
  .col-md-4 {
    width: 33.33333333%;
  }
  .col-md-3 {
    width: 25%;
  }
  .col-md-2 {
    width: 16.66666667%;
  }
  .col-md-1 {
    width: 8.33333333%;
  }
  .col-md-pull-12 {
    right: 100%;
  }
  .col-md-pull-11 {
    right: 91.66666667%;
  }
  .col-md-pull-10 {
    right: 83.33333333%;
  }
  .col-md-pull-9 {
    right: 75%;
  }
  .col-md-pull-8 {
    right: 66.66666667%;
  }
  .col-md-pull-7 {
    right: 58.33333333%;
  }
  .col-md-pull-6 {
    right: 50%;
  }
  .col-md-pull-5 {
    right: 41.66666667%;
  }
  .col-md-pull-4 {
    right: 33.33333333%;
  }
  .col-md-pull-3 {
    right: 25%;
  }
  .col-md-pull-2 {
    right: 16.66666667%;
  }
  .col-md-pull-1 {
    right: 8.33333333%;
  }
  .col-md-pull-0 {
    right: auto;
  }
  .col-md-push-12 {
    left: 100%;
  }
  .col-md-push-11 {
    left: 91.66666667%;
  }
  .col-md-push-10 {
    left: 83.33333333%;
  }
  .col-md-push-9 {
    left: 75%;
  }
  .col-md-push-8 {
    left: 66.66666667%;
  }
  .col-md-push-7 {
    left: 58.33333333%;
  }
  .col-md-push-6 {
    left: 50%;
  }
  .col-md-push-5 {
    left: 41.66666667%;
  }
  .col-md-push-4 {
    left: 33.33333333%;
  }
  .col-md-push-3 {
    left: 25%;
  }
  .col-md-push-2 {
    left: 16.66666667%;
  }
  .col-md-push-1 {
    left: 8.33333333%;
  }
  .col-md-push-0 {
    left: auto;
  }
  .col-md-offset-12 {
    margin-left: 100%;
  }
  .col-md-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-md-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-md-offset-9 {
    margin-left: 75%;
  }
  .col-md-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-md-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-md-offset-6 {
    margin-left: 50%;
  }
  .col-md-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-md-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-md-offset-3 {
    margin-left: 25%;
  }
  .col-md-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-md-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-md-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 1200px) {
  .col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
    float: left;
  }
  .col-lg-12 {
    width: 100%;
  }
  .col-lg-11 {
    width: 91.66666667%;
  }
  .col-lg-10 {
    width: 83.33333333%;
  }
  .col-lg-9 {
    width: 75%;
  }
  .col-lg-8 {
    width: 66.66666667%;
  }
  .col-lg-7 {
    width: 58.33333333%;
  }
  .col-lg-6 {
    width: 50%;
  }
  .col-lg-5 {
    width: 41.66666667%;
  }
  .col-lg-4 {
    width: 33.33333333%;
  }
  .col-lg-3 {
    width: 25%;
  }
  .col-lg-2 {
    width: 16.66666667%;
  }
  .col-lg-1 {
    width: 8.33333333%;
  }
  .col-lg-pull-12 {
    right: 100%;
  }
  .col-lg-pull-11 {
    right: 91.66666667%;
  }
  .col-lg-pull-10 {
    right: 83.33333333%;
  }
  .col-lg-pull-9 {
    right: 75%;
  }
  .col-lg-pull-8 {
    right: 66.66666667%;
  }
  .col-lg-pull-7 {
    right: 58.33333333%;
  }
  .col-lg-pull-6 {
    right: 50%;
  }
  .col-lg-pull-5 {
    right: 41.66666667%;
  }
  .col-lg-pull-4 {
    right: 33.33333333%;
  }
  .col-lg-pull-3 {
    right: 25%;
  }
  .col-lg-pull-2 {
    right: 16.66666667%;
  }
  .col-lg-pull-1 {
    right: 8.33333333%;
  }
  .col-lg-pull-0 {
    right: auto;
  }
  .col-lg-push-12 {
    left: 100%;
  }
  .col-lg-push-11 {
    left: 91.66666667%;
  }
  .col-lg-push-10 {
    left: 83.33333333%;
  }
  .col-lg-push-9 {
    left: 75%;
  }
  .col-lg-push-8 {
    left: 66.66666667%;
  }
  .col-lg-push-7 {
    left: 58.33333333%;
  }
  .col-lg-push-6 {
    left: 50%;
  }
  .col-lg-push-5 {
    left: 41.66666667%;
  }
  .col-lg-push-4 {
    left: 33.33333333%;
  }
  .col-lg-push-3 {
    left: 25%;
  }
  .col-lg-push-2 {
    left: 16.66666667%;
  }
  .col-lg-push-1 {
    left: 8.33333333%;
  }
  .col-lg-push-0 {
    left: auto;
  }
  .col-lg-offset-12 {
    margin-left: 100%;
  }
  .col-lg-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-lg-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-lg-offset-9 {
    margin-left: 75%;
  }
  .col-lg-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-lg-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-lg-offset-6 {
    margin-left: 50%;
  }
  .col-lg-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-lg-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-lg-offset-3 {
    margin-left: 25%;
  }
  .col-lg-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-lg-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-lg-offset-0 {
    margin-left: 0%;
  }
}
table {
  background-color: transparent;
}
caption {
  padding-top: 8px;
  padding-bottom: 8px;
  color: #777777;
  text-align: left;
}
th {
  text-align: left;
}
.table {
  width: 100%;
  max-width: 100%;
  margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
  padding: 8px;
  line-height: 1.42857143;
  vertical-align: top;
  border-top: 1px solid #ddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #ddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
  border-top: 0;
}
.table > tbody + tbody {
  border-top: 2px solid #ddd;
}
.table .table {
  background-color: #fff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
  padding: 5px;
}
.table-bordered {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
  border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
  border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
  background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
  background-color: #f5f5f5;
}
table col[class*="col-"] {
  position: static;
  float: none;
  display: table-column;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  float: none;
  display: table-cell;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
  background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
  background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
  background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
  background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
  background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
  background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
  background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
  background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
  background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
  background-color: #ebcccc;
}
.table-responsive {
  overflow-x: auto;
  min-height: 0.01%;
}
@media screen and (max-width: 767px) {
  .table-responsive {
    width: 100%;
    margin-bottom: 13.5px;
    overflow-y: hidden;
    -ms-overflow-style: -ms-autohiding-scrollbar;
    border: 1px solid #ddd;
  }
  .table-responsive > .table {
    margin-bottom: 0;
  }
  .table-responsive > .table > thead > tr > th,
  .table-responsive > .table > tbody > tr > th,
  .table-responsive > .table > tfoot > tr > th,
  .table-responsive > .table > thead > tr > td,
  .table-responsive > .table > tbody > tr > td,
  .table-responsive > .table > tfoot > tr > td {
    white-space: nowrap;
  }
  .table-responsive > .table-bordered {
    border: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:first-child,
  .table-responsive > .table-bordered > tbody > tr > th:first-child,
  .table-responsive > .table-bordered > tfoot > tr > th:first-child,
  .table-responsive > .table-bordered > thead > tr > td:first-child,
  .table-responsive > .table-bordered > tbody > tr > td:first-child,
  .table-responsive > .table-bordered > tfoot > tr > td:first-child {
    border-left: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:last-child,
  .table-responsive > .table-bordered > tbody > tr > th:last-child,
  .table-responsive > .table-bordered > tfoot > tr > th:last-child,
  .table-responsive > .table-bordered > thead > tr > td:last-child,
  .table-responsive > .table-bordered > tbody > tr > td:last-child,
  .table-responsive > .table-bordered > tfoot > tr > td:last-child {
    border-right: 0;
  }
  .table-responsive > .table-bordered > tbody > tr:last-child > th,
  .table-responsive > .table-bordered > tfoot > tr:last-child > th,
  .table-responsive > .table-bordered > tbody > tr:last-child > td,
  .table-responsive > .table-bordered > tfoot > tr:last-child > td {
    border-bottom: 0;
  }
}
fieldset {
  padding: 0;
  margin: 0;
  border: 0;
  min-width: 0;
}
legend {
  display: block;
  width: 100%;
  padding: 0;
  margin-bottom: 18px;
  font-size: 19.5px;
  line-height: inherit;
  color: #333333;
  border: 0;
  border-bottom: 1px solid #e5e5e5;
}
label {
  display: inline-block;
  max-width: 100%;
  margin-bottom: 5px;
  font-weight: bold;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
input[type="file"] {
  display: block;
}
input[type="range"] {
  display: block;
  width: 100%;
}
select[multiple],
select[size] {
  height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
output {
  display: block;
  padding-top: 7px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
}
.form-control {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999;
}
.form-control::-webkit-input-placeholder {
  color: #999;
}
.form-control::-ms-expand {
  border: 0;
  background-color: transparent;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
  background-color: #eeeeee;
  opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
  cursor: not-allowed;
}
textarea.form-control {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: none;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
  input[type="date"].form-control,
  input[type="time"].form-control,
  input[type="datetime-local"].form-control,
  input[type="month"].form-control {
    line-height: 32px;
  }
  input[type="date"].input-sm,
  input[type="time"].input-sm,
  input[type="datetime-local"].input-sm,
  input[type="month"].input-sm,
  .input-group-sm input[type="date"],
  .input-group-sm input[type="time"],
  .input-group-sm input[type="datetime-local"],
  .input-group-sm input[type="month"] {
    line-height: 30px;
  }
  input[type="date"].input-lg,
  input[type="time"].input-lg,
  input[type="datetime-local"].input-lg,
  input[type="month"].input-lg,
  .input-group-lg input[type="date"],
  .input-group-lg input[type="time"],
  .input-group-lg input[type="datetime-local"],
  .input-group-lg input[type="month"] {
    line-height: 45px;
  }
}
.form-group {
  margin-bottom: 15px;
}
.radio,
.checkbox {
  position: relative;
  display: block;
  margin-top: 10px;
  margin-bottom: 10px;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: normal;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-left: -20px;
  margin-top: 4px \9;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  vertical-align: middle;
  font-weight: normal;
  cursor: pointer;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
  cursor: not-allowed;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.form-control-static {
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
  min-height: 31px;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-left: 0;
  padding-right: 0;
}
.input-sm {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-sm {
  height: 30px;
  line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
  height: auto;
}
.form-group-sm .form-control {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.form-group-sm select.form-control {
  height: 30px;
  line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
  height: auto;
}
.form-group-sm .form-control-static {
  height: 30px;
  min-height: 30px;
  padding: 6px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.input-lg {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-lg {
  height: 45px;
  line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
  height: auto;
}
.form-group-lg .form-control {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.form-group-lg select.form-control {
  height: 45px;
  line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
  height: auto;
}
.form-group-lg .form-control-static {
  height: 45px;
  min-height: 35px;
  padding: 11px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.has-feedback {
  position: relative;
}
.has-feedback .form-control {
  padding-right: 40px;
}
.form-control-feedback {
  position: absolute;
  top: 0;
  right: 0;
  z-index: 2;
  display: block;
  width: 32px;
  height: 32px;
  line-height: 32px;
  text-align: center;
  pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
  width: 45px;
  height: 45px;
  line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
  width: 30px;
  height: 30px;
  line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
  color: #3c763d;
}
.has-success .form-control {
  border-color: #3c763d;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
  border-color: #2b542c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
  color: #3c763d;
  border-color: #3c763d;
  background-color: #dff0d8;
}
.has-success .form-control-feedback {
  color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
  color: #8a6d3b;
}
.has-warning .form-control {
  border-color: #8a6d3b;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
  border-color: #66512c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
  color: #8a6d3b;
  border-color: #8a6d3b;
  background-color: #fcf8e3;
}
.has-warning .form-control-feedback {
  color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
  color: #a94442;
}
.has-error .form-control {
  border-color: #a94442;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
  border-color: #843534;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
  color: #a94442;
  border-color: #a94442;
  background-color: #f2dede;
}
.has-error .form-control-feedback {
  color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
  top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
  top: 0;
}
.help-block {
  display: block;
  margin-top: 5px;
  margin-bottom: 10px;
  color: #404040;
}
@media (min-width: 768px) {
  .form-inline .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .form-inline .form-control-static {
    display: inline-block;
  }
  .form-inline .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .form-inline .input-group .input-group-addon,
  .form-inline .input-group .input-group-btn,
  .form-inline .input-group .form-control {
    width: auto;
  }
  .form-inline .input-group > .form-control {
    width: 100%;
  }
  .form-inline .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio,
  .form-inline .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio label,
  .form-inline .checkbox label {
    padding-left: 0;
  }
  .form-inline .radio input[type="radio"],
  .form-inline .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .form-inline .has-feedback .form-control-feedback {
    top: 0;
  }
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
  margin-top: 0;
  margin-bottom: 0;
  padding-top: 7px;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-left: 0px;
  margin-right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    text-align: right;
    margin-bottom: 0;
    padding-top: 7px;
  }
}
.form-horizontal .has-feedback .form-control-feedback {
  right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .form-group-lg .control-label {
    padding-top: 11px;
    font-size: 17px;
  }
}
@media (min-width: 768px) {
  .form-horizontal .form-group-sm .control-label {
    padding-top: 6px;
    font-size: 12px;
  }
}
.btn {
  display: inline-block;
  margin-bottom: 0;
  font-weight: normal;
  text-align: center;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  white-space: nowrap;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  border-radius: 2px;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
  color: #333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  outline: 0;
  background-image: none;
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
  cursor: not-allowed;
  opacity: 0.65;
  filter: alpha(opacity=65);
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  background-image: none;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
  background-color: #fff;
  border-color: #ccc;
}
.btn-default .badge {
  color: #fff;
  background-color: #333;
}
.btn-primary {
  color: #fff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #fff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #fff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
  color: #fff;
  background-color: #204d74;
  border-color: #122b40;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  background-image: none;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary .badge {
  color: #337ab7;
  background-color: #fff;
}
.btn-success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  background-image: none;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.btn-info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  background-image: none;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.btn-warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  background-image: none;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.btn-danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  background-image: none;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger .badge {
  color: #d9534f;
  background-color: #fff;
}
.btn-link {
  color: #337ab7;
  font-weight: normal;
  border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
  background-color: transparent;
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
  border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
  color: #23527c;
  text-decoration: underline;
  background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
  color: #777777;
  text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
  padding: 1px 5px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-block {
  display: block;
  width: 100%;
}
.btn-block + .btn-block {
  margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
  width: 100%;
}
.fade {
  opacity: 0;
  -webkit-transition: opacity 0.15s linear;
  -o-transition: opacity 0.15s linear;
  transition: opacity 0.15s linear;
}
.fade.in {
  opacity: 1;
}
.collapse {
  display: none;
}
.collapse.in {
  display: block;
}
tr.collapse.in {
  display: table-row;
}
tbody.collapse.in {
  display: table-row-group;
}
.collapsing {
  position: relative;
  height: 0;
  overflow: hidden;
  -webkit-transition-property: height, visibility;
  transition-property: height, visibility;
  -webkit-transition-duration: 0.35s;
  transition-duration: 0.35s;
  -webkit-transition-timing-function: ease;
  transition-timing-function: ease;
}
.caret {
  display: inline-block;
  width: 0;
  height: 0;
  margin-left: 2px;
  vertical-align: middle;
  border-top: 4px dashed;
  border-top: 4px solid \9;
  border-right: 4px solid transparent;
  border-left: 4px solid transparent;
}
.dropup,
.dropdown {
  position: relative;
}
.dropdown-toggle:focus {
  outline: 0;
}
.dropdown-menu {
  position: absolute;
  top: 100%;
  left: 0;
  z-index: 1000;
  display: none;
  float: left;
  min-width: 160px;
  padding: 5px 0;
  margin: 2px 0 0;
  list-style: none;
  font-size: 13px;
  text-align: left;
  background-color: #fff;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.15);
  border-radius: 2px;
  -webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  background-clip: padding-box;
}
.dropdown-menu.pull-right {
  right: 0;
  left: auto;
}
.dropdown-menu .divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.dropdown-menu > li > a {
  display: block;
  padding: 3px 20px;
  clear: both;
  font-weight: normal;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  text-decoration: none;
  color: #262626;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #fff;
  text-decoration: none;
  outline: 0;
  background-color: #337ab7;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  text-decoration: none;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
  cursor: not-allowed;
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  left: auto;
  right: 0;
}
.dropdown-menu-left {
  left: 0;
  right: auto;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  left: 0;
  right: 0;
  bottom: 0;
  top: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
  content: "";
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    left: auto;
    right: 0;
  }
  .navbar-right .dropdown-menu-left {
    left: 0;
    right: auto;
  }
}
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
  position: relative;
  float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
  z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
  margin-left: -1px;
}
.btn-toolbar {
  margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
  float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
  margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}
.btn-group > .btn:first-child {
  margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-left: 8px;
  padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-left: 12px;
  padding-right: 12px;
}
.btn-group.open .dropdown-toggle {
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn .caret {
  margin-left: 0;
}
.btn-lg .caret {
  border-width: 5px 5px 0;
  border-bottom-width: 0;
}
.dropup .btn-lg .caret {
  border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
  display: block;
  float: none;
  width: 100%;
  max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
  float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
  margin-top: -1px;
  margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  float: none;
  display: table-cell;
  width: 1%;
}
.btn-group-justified > .btn-group .btn {
  width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
  left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
  position: absolute;
  clip: rect(0, 0, 0, 0);
  pointer-events: none;
}
.input-group {
  position: relative;
  display: table;
  border-collapse: separate;
}
.input-group[class*="col-"] {
  float: none;
  padding-left: 0;
  padding-right: 0;
}
.input-group .form-control {
  position: relative;
  z-index: 2;
  float: left;
  width: 100%;
  margin-bottom: 0;
}
.input-group .form-control:focus {
  z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
  height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
  height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
  display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.input-group-addon,
.input-group-btn {
  width: 1%;
  white-space: nowrap;
  vertical-align: middle;
}
.input-group-addon {
  padding: 6px 12px;
  font-size: 13px;
  font-weight: normal;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #ccc;
  border-radius: 2px;
}
.input-group-addon.input-sm {
  padding: 5px 10px;
  font-size: 12px;
  border-radius: 1px;
}
.input-group-addon.input-lg {
  padding: 10px 16px;
  font-size: 17px;
  border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
  margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
  border-bottom-right-radius: 0;
  border-top-right-radius: 0;
}
.input-group-addon:first-child {
  border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
  border-bottom-left-radius: 0;
  border-top-left-radius: 0;
}
.input-group-addon:last-child {
  border-left: 0;
}
.input-group-btn {
  position: relative;
  font-size: 0;
  white-space: nowrap;
}
.input-group-btn > .btn {
  position: relative;
}
.input-group-btn > .btn + .btn {
  margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
  z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
  margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
  z-index: 2;
  margin-left: -1px;
}
.nav {
  margin-bottom: 0;
  padding-left: 0;
  list-style: none;
}
.nav > li {
  position: relative;
  display: block;
}
.nav > li > a {
  position: relative;
  display: block;
  padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.nav > li.disabled > a {
  color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
  color: #777777;
  text-decoration: none;
  background-color: transparent;
  cursor: not-allowed;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #337ab7;
}
.nav .nav-divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.nav > li > a > img {
  max-width: none;
}
.nav-tabs {
  border-bottom: 1px solid #ddd;
}
.nav-tabs > li {
  float: left;
  margin-bottom: -1px;
}
.nav-tabs > li > a {
  margin-right: 2px;
  line-height: 1.42857143;
  border: 1px solid transparent;
  border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
  border-color: #eeeeee #eeeeee #ddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  background-color: #fff;
  border: 1px solid #ddd;
  border-bottom-color: transparent;
  cursor: default;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-tabs.nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs.nav-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs.nav-justified > .active > a,
  .nav-tabs.nav-justified > .active > a:hover,
  .nav-tabs.nav-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.nav-pills > li {
  float: left;
}
.nav-pills > li > a {
  border-radius: 2px;
}
.nav-pills > li + li {
  margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
  color: #fff;
  background-color: #337ab7;
}
.nav-stacked > li {
  float: none;
}
.nav-stacked > li + li {
  margin-top: 2px;
  margin-left: 0;
}
.nav-justified {
  width: 100%;
}
.nav-justified > li {
  float: none;
}
.nav-justified > li > a {
  text-align: center;
  margin-bottom: 5px;
}
.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs-justified {
  border-bottom: 0;
}
.nav-tabs-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
  border: 1px solid #ddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #ddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs-justified > .active > a,
  .nav-tabs-justified > .active > a:hover,
  .nav-tabs-justified > .active > a:focus {
    border-bottom-color: #fff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar {
  position: relative;
  min-height: 30px;
  margin-bottom: 18px;
  border: 1px solid transparent;
}
@media (min-width: 541px) {
  .navbar {
    border-radius: 2px;
  }
}
@media (min-width: 541px) {
  .navbar-header {
    float: left;
  }
}
.navbar-collapse {
  overflow-x: visible;
  padding-right: 0px;
  padding-left: 0px;
  border-top: 1px solid transparent;
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
  -webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
  overflow-y: auto;
}
@media (min-width: 541px) {
  .navbar-collapse {
    width: auto;
    border-top: 0;
    box-shadow: none;
  }
  .navbar-collapse.collapse {
    display: block !important;
    height: auto !important;
    padding-bottom: 0;
    overflow: visible !important;
  }
  .navbar-collapse.in {
    overflow-y: visible;
  }
  .navbar-fixed-top .navbar-collapse,
  .navbar-static-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    padding-left: 0;
    padding-right: 0;
  }
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
  max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
  .navbar-fixed-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    max-height: 200px;
  }
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 541px) {
  .container > .navbar-header,
  .container-fluid > .navbar-header,
  .container > .navbar-collapse,
  .container-fluid > .navbar-collapse {
    margin-right: 0;
    margin-left: 0;
  }
}
.navbar-static-top {
  z-index: 1000;
  border-width: 0 0 1px;
}
@media (min-width: 541px) {
  .navbar-static-top {
    border-radius: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
@media (min-width: 541px) {
  .navbar-fixed-top,
  .navbar-fixed-bottom {
    border-radius: 0;
  }
}
.navbar-fixed-top {
  top: 0;
  border-width: 0 0 1px;
}
.navbar-fixed-bottom {
  bottom: 0;
  margin-bottom: 0;
  border-width: 1px 0 0;
}
.navbar-brand {
  float: left;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
  height: 30px;
}
.navbar-brand:hover,
.navbar-brand:focus {
  text-decoration: none;
}
.navbar-brand > img {
  display: block;
}
@media (min-width: 541px) {
  .navbar > .container .navbar-brand,
  .navbar > .container-fluid .navbar-brand {
    margin-left: 0px;
  }
}
.navbar-toggle {
  position: relative;
  float: right;
  margin-right: 0px;
  padding: 9px 10px;
  margin-top: -2px;
  margin-bottom: -2px;
  background-color: transparent;
  background-image: none;
  border: 1px solid transparent;
  border-radius: 2px;
}
.navbar-toggle:focus {
  outline: 0;
}
.navbar-toggle .icon-bar {
  display: block;
  width: 22px;
  height: 2px;
  border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
  margin-top: 4px;
}
@media (min-width: 541px) {
  .navbar-toggle {
    display: none;
  }
}
.navbar-nav {
  margin: 3px 0px;
}
.navbar-nav > li > a {
  padding-top: 10px;
  padding-bottom: 10px;
  line-height: 18px;
}
@media (max-width: 540px) {
  .navbar-nav .open .dropdown-menu {
    position: static;
    float: none;
    width: auto;
    margin-top: 0;
    background-color: transparent;
    border: 0;
    box-shadow: none;
  }
  .navbar-nav .open .dropdown-menu > li > a,
  .navbar-nav .open .dropdown-menu .dropdown-header {
    padding: 5px 15px 5px 25px;
  }
  .navbar-nav .open .dropdown-menu > li > a {
    line-height: 18px;
  }
  .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-nav .open .dropdown-menu > li > a:focus {
    background-image: none;
  }
}
@media (min-width: 541px) {
  .navbar-nav {
    float: left;
    margin: 0;
  }
  .navbar-nav > li {
    float: left;
  }
  .navbar-nav > li > a {
    padding-top: 6px;
    padding-bottom: 6px;
  }
}
.navbar-form {
  margin-left: 0px;
  margin-right: 0px;
  padding: 10px 0px;
  border-top: 1px solid transparent;
  border-bottom: 1px solid transparent;
  -webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  margin-top: -1px;
  margin-bottom: -1px;
}
@media (min-width: 768px) {
  .navbar-form .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .navbar-form .form-control-static {
    display: inline-block;
  }
  .navbar-form .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .navbar-form .input-group .input-group-addon,
  .navbar-form .input-group .input-group-btn,
  .navbar-form .input-group .form-control {
    width: auto;
  }
  .navbar-form .input-group > .form-control {
    width: 100%;
  }
  .navbar-form .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio,
  .navbar-form .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio label,
  .navbar-form .checkbox label {
    padding-left: 0;
  }
  .navbar-form .radio input[type="radio"],
  .navbar-form .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .navbar-form .has-feedback .form-control-feedback {
    top: 0;
  }
}
@media (max-width: 540px) {
  .navbar-form .form-group {
    margin-bottom: 5px;
  }
  .navbar-form .form-group:last-child {
    margin-bottom: 0;
  }
}
@media (min-width: 541px) {
  .navbar-form {
    width: auto;
    border: 0;
    margin-left: 0;
    margin-right: 0;
    padding-top: 0;
    padding-bottom: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.navbar-btn {
  margin-top: -1px;
  margin-bottom: -1px;
}
.navbar-btn.btn-sm {
  margin-top: 0px;
  margin-bottom: 0px;
}
.navbar-btn.btn-xs {
  margin-top: 4px;
  margin-bottom: 4px;
}
.navbar-text {
  margin-top: 6px;
  margin-bottom: 6px;
}
@media (min-width: 541px) {
  .navbar-text {
    float: left;
    margin-left: 0px;
    margin-right: 0px;
  }
}
@media (min-width: 541px) {
  .navbar-left {
    float: left !important;
    float: left;
  }
  .navbar-right {
    float: right !important;
    float: right;
    margin-right: 0px;
  }
  .navbar-right ~ .navbar-right {
    margin-right: 0;
  }
}
.navbar-default {
  background-color: #f8f8f8;
  border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
  color: #777;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #5e5e5e;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777;
}
.navbar-default .navbar-nav > li > a {
  color: #777;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #ccc;
  background-color: transparent;
}
.navbar-default .navbar-toggle {
  border-color: #ddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #ddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  background-color: #e7e7e7;
  color: #555;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #777;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333;
    background-color: transparent;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #555;
    background-color: #e7e7e7;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #ccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-link {
  color: #777;
}
.navbar-default .navbar-link:hover {
  color: #333;
}
.navbar-default .btn-link {
  color: #777;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
  color: #ccc;
}
.navbar-inverse {
  background-color: #222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-text {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
  color: #fff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #fff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444;
  background-color: transparent;
}
.navbar-inverse .navbar-toggle {
  border-color: #333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #fff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  background-color: #080808;
  color: #fff;
}
@media (max-width: 540px) {
  .navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
    border-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu .divider {
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
    color: #9d9d9d;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #fff;
    background-color: transparent;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #fff;
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #fff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #fff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
  color: #444;
}
.breadcrumb {
  padding: 8px 15px;
  margin-bottom: 18px;
  list-style: none;
  background-color: #f5f5f5;
  border-radius: 2px;
}
.breadcrumb > li {
  display: inline-block;
}
.breadcrumb > li + li:before {
  content: "/\00a0";
  padding: 0 5px;
  color: #5e5e5e;
}
.breadcrumb > .active {
  color: #777777;
}
.pagination {
  display: inline-block;
  padding-left: 0;
  margin: 18px 0;
  border-radius: 2px;
}
.pagination > li {
  display: inline;
}
.pagination > li > a,
.pagination > li > span {
  position: relative;
  float: left;
  padding: 6px 12px;
  line-height: 1.42857143;
  text-decoration: none;
  color: #337ab7;
  background-color: #fff;
  border: 1px solid #ddd;
  margin-left: -1px;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-bottom-right-radius: 2px;
  border-top-right-radius: 2px;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #23527c;
  background-color: #eeeeee;
  border-color: #ddd;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
  z-index: 3;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
  cursor: default;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  background-color: #fff;
  border-color: #ddd;
  cursor: not-allowed;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
  border-bottom-left-radius: 3px;
  border-top-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-bottom-right-radius: 3px;
  border-top-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
  border-bottom-left-radius: 1px;
  border-top-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-bottom-right-radius: 1px;
  border-top-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  list-style: none;
  text-align: center;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
  float: right;
}
.pager .previous > a,
.pager .previous > span {
  float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
  color: #777777;
  background-color: #fff;
  cursor: not-allowed;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: bold;
  line-height: 1;
  color: #fff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.label:empty {
  display: none;
}
.btn .label {
  position: relative;
  top: -1px;
}
.label-default {
  background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
  background-color: #5e5e5e;
}
.label-primary {
  background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
  background-color: #286090;
}
.label-success {
  background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
  background-color: #449d44;
}
.label-info {
  background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
  background-color: #31b0d5;
}
.label-warning {
  background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
  background-color: #ec971f;
}
.label-danger {
  background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
  background-color: #c9302c;
}
.badge {
  display: inline-block;
  min-width: 10px;
  padding: 3px 7px;
  font-size: 12px;
  font-weight: bold;
  color: #fff;
  line-height: 1;
  vertical-align: middle;
  white-space: nowrap;
  text-align: center;
  background-color: #777777;
  border-radius: 10px;
}
.badge:empty {
  display: none;
}
.btn .badge {
  position: relative;
  top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
  top: 0;
  padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
  color: #fff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #337ab7;
  background-color: #fff;
}
.list-group-item > .badge {
  float: right;
}
.list-group-item > .badge + .badge {
  margin-right: 5px;
}
.nav-pills > li > a > .badge {
  margin-left: 3px;
}
.jumbotron {
  padding-top: 30px;
  padding-bottom: 30px;
  margin-bottom: 30px;
  color: inherit;
  background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
  color: inherit;
}
.jumbotron p {
  margin-bottom: 15px;
  font-size: 20px;
  font-weight: 200;
}
.jumbotron > hr {
  border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
  border-radius: 3px;
  padding-left: 0px;
  padding-right: 0px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-left: 60px;
    padding-right: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #fff;
  border: 1px solid #ddd;
  border-radius: 2px;
  -webkit-transition: border 0.2s ease-in-out;
  -o-transition: border 0.2s ease-in-out;
  transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
  margin-left: auto;
  margin-right: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #337ab7;
}
.thumbnail .caption {
  padding: 9px;
  color: #000;
}
.alert {
  padding: 15px;
  margin-bottom: 18px;
  border: 1px solid transparent;
  border-radius: 2px;
}
.alert h4 {
  margin-top: 0;
  color: inherit;
}
.alert .alert-link {
  font-weight: bold;
}
.alert > p,
.alert > ul {
  margin-bottom: 0;
}
.alert > p + p {
  margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
  padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
  position: relative;
  top: -2px;
  right: -21px;
  color: inherit;
}
.alert-success {
  background-color: #dff0d8;
  border-color: #d6e9c6;
  color: #3c763d;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  background-color: #d9edf7;
  border-color: #bce8f1;
  color: #31708f;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  background-color: #fcf8e3;
  border-color: #faebcc;
  color: #8a6d3b;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  background-color: #f2dede;
  border-color: #ebccd1;
  color: #a94442;
}
.alert-danger hr {
  border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
  color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
@keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
.progress {
  overflow: hidden;
  height: 18px;
  margin-bottom: 18px;
  background-color: #f5f5f5;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
  box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
  float: left;
  width: 0%;
  height: 100%;
  font-size: 12px;
  line-height: 18px;
  color: #fff;
  text-align: center;
  background-color: #337ab7;
  -webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  -webkit-transition: width 0.6s ease;
  -o-transition: width 0.6s ease;
  transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
  -webkit-animation: progress-bar-stripes 2s linear infinite;
  -o-animation: progress-bar-stripes 2s linear infinite;
  animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
  background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
  background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
  background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
  background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
  margin-top: 15px;
}
.media:first-child {
  margin-top: 0;
}
.media,
.media-body {
  zoom: 1;
  overflow: hidden;
}
.media-body {
  width: 10000px;
}
.media-object {
  display: block;
}
.media-object.img-thumbnail {
  max-width: none;
}
.media-right,
.media > .pull-right {
  padding-left: 10px;
}
.media-left,
.media > .pull-left {
  padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
  display: table-cell;
  vertical-align: top;
}
.media-middle {
  vertical-align: middle;
}
.media-bottom {
  vertical-align: bottom;
}
.media-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.media-list {
  padding-left: 0;
  list-style: none;
}
.list-group {
  margin-bottom: 20px;
  padding-left: 0;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #fff;
  border: 1px solid #ddd;
}
.list-group-item:first-child {
  border-top-right-radius: 2px;
  border-top-left-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
a.list-group-item,
button.list-group-item {
  color: #555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  text-decoration: none;
  color: #555;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  background-color: #eeeeee;
  color: #777777;
  cursor: not-allowed;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
  color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
  color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
  z-index: 2;
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
  color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
  color: #c7ddef;
}
.list-group-item-success {
  color: #3c763d;
  background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
  color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
  color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
  color: #3c763d;
  background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
  color: #fff;
  background-color: #3c763d;
  border-color: #3c763d;
}
.list-group-item-info {
  color: #31708f;
  background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
  color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
  color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
  color: #31708f;
  background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
  color: #fff;
  background-color: #31708f;
  border-color: #31708f;
}
.list-group-item-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
  color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
  color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
  color: #8a6d3b;
  background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
  color: #fff;
  background-color: #8a6d3b;
  border-color: #8a6d3b;
}
.list-group-item-danger {
  color: #a94442;
  background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
  color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
  color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
  color: #a94442;
  background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
  color: #fff;
  background-color: #a94442;
  border-color: #a94442;
}
.list-group-item-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.list-group-item-text {
  margin-bottom: 0;
  line-height: 1.3;
}
.panel {
  margin-bottom: 18px;
  background-color: #fff;
  border: 1px solid transparent;
  border-radius: 2px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
  padding: 15px;
}
.panel-heading {
  padding: 10px 15px;
  border-bottom: 1px solid transparent;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
  color: inherit;
}
.panel-title {
  margin-top: 0;
  margin-bottom: 0;
  font-size: 15px;
  color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
  color: inherit;
}
.panel-footer {
  padding: 10px 15px;
  background-color: #f5f5f5;
  border-top: 1px solid #ddd;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
  margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
  border-width: 1px 0;
  border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
  border-top: 0;
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
  border-bottom: 0;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
  border-top-right-radius: 0;
  border-top-left-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
  border-top-width: 0;
}
.list-group + .panel-footer {
  border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
  margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
  padding-left: 15px;
  padding-right: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-right-radius: 1px;
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
  border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
  border-bottom-left-radius: 1px;
  border-bottom-right-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
  border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
  border-top: 1px solid #ddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
  border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
  border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
  border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
  border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
  border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
  border-bottom: 0;
}
.panel > .table-responsive {
  border: 0;
  margin-bottom: 0;
}
.panel-group {
  margin-bottom: 18px;
}
.panel-group .panel {
  margin-bottom: 0;
  border-radius: 2px;
}
.panel-group .panel + .panel {
  margin-top: 5px;
}
.panel-group .panel-heading {
  border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
  border-top: 1px solid #ddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #ddd;
}
.panel-default {
  border-color: #ddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #ddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #fff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
  color: #337ab7;
  background-color: #fff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #337ab7;
}
.panel-success {
  border-color: #d6e9c6;
}
.panel-success > .panel-heading {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
  color: #dff0d8;
  background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #d6e9c6;
}
.panel-info {
  border-color: #bce8f1;
}
.panel-info > .panel-heading {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
  color: #d9edf7;
  background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #bce8f1;
}
.panel-warning {
  border-color: #faebcc;
}
.panel-warning > .panel-heading {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
  color: #fcf8e3;
  background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #faebcc;
}
.panel-danger {
  border-color: #ebccd1;
}
.panel-danger > .panel-heading {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
  color: #f2dede;
  background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ebccd1;
}
.embed-responsive {
  position: relative;
  display: block;
  height: 0;
  padding: 0;
  overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  height: 100%;
  width: 100%;
  border: 0;
}
.embed-responsive-16by9 {
  padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
  padding-bottom: 75%;
}
.well {
  min-height: 20px;
  padding: 19px;
  margin-bottom: 20px;
  background-color: #f5f5f5;
  border: 1px solid #e3e3e3;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
  border-color: #ddd;
  border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
  padding: 24px;
  border-radius: 3px;
}
.well-sm {
  padding: 9px;
  border-radius: 1px;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000;
  text-shadow: 0 1px 0 #fff;
  opacity: 0.2;
  filter: alpha(opacity=20);
}
.close:hover,
.close:focus {
  color: #000;
  text-decoration: none;
  cursor: pointer;
  opacity: 0.5;
  filter: alpha(opacity=50);
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  display: none;
  overflow: hidden;
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  -webkit-overflow-scrolling: touch;
  outline: 0;
}
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
  -ms-transform: translate(0, -25%);
  -o-transform: translate(0, -25%);
  transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
  -moz-transition: -moz-transform 0.3s ease-out;
  -o-transition: -o-transform 0.3s ease-out;
  transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
.modal-open .modal {
  overflow-x: hidden;
  overflow-y: auto;
}
.modal-dialog {
  position: relative;
  width: auto;
  margin: 10px;
}
.modal-content {
  position: relative;
  background-color: #fff;
  border: 1px solid #999;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  background-clip: padding-box;
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000;
}
.modal-backdrop.fade {
  opacity: 0;
  filter: alpha(opacity=0);
}
.modal-backdrop.in {
  opacity: 0.5;
  filter: alpha(opacity=50);
}
.modal-header {
  padding: 15px;
  border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
  margin-top: -2px;
}
.modal-title {
  margin: 0;
  line-height: 1.42857143;
}
.modal-body {
  position: relative;
  padding: 15px;
}
.modal-footer {
  padding: 15px;
  text-align: right;
  border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
  margin-left: 5px;
  margin-bottom: 0;
}
.modal-footer .btn-group .btn + .btn {
  margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
  margin-left: 0;
}
.modal-scrollbar-measure {
  position: absolute;
  top: -9999px;
  width: 50px;
  height: 50px;
  overflow: scroll;
}
@media (min-width: 768px) {
  .modal-dialog {
    width: 600px;
    margin: 30px auto;
  }
  .modal-content {
    -webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
    box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
  }
  .modal-sm {
    width: 300px;
  }
}
@media (min-width: 992px) {
  .modal-lg {
    width: 900px;
  }
}
.tooltip {
  position: absolute;
  z-index: 1070;
  display: block;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 12px;
  opacity: 0;
  filter: alpha(opacity=0);
}
.tooltip.in {
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.tooltip.top {
  margin-top: -3px;
  padding: 5px 0;
}
.tooltip.right {
  margin-left: 3px;
  padding: 0 5px;
}
.tooltip.bottom {
  margin-top: 3px;
  padding: 5px 0;
}
.tooltip.left {
  margin-left: -3px;
  padding: 0 5px;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #fff;
  text-align: center;
  background-color: #000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-left .tooltip-arrow {
  bottom: 0;
  right: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000;
}
.popover {
  position: absolute;
  top: 0;
  left: 0;
  z-index: 1060;
  display: none;
  max-width: 276px;
  padding: 1px;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: normal;
  letter-spacing: normal;
  line-break: auto;
  line-height: 1.42857143;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  white-space: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  font-size: 13px;
  background-color: #fff;
  background-clip: padding-box;
  border: 1px solid #ccc;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
  box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
  margin-top: -10px;
}
.popover.right {
  margin-left: 10px;
}
.popover.bottom {
  margin-top: 10px;
}
.popover.left {
  margin-left: -10px;
}
.popover-title {
  margin: 0;
  padding: 8px 14px;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow {
  border-width: 11px;
}
.popover > .arrow:after {
  border-width: 10px;
  content: "";
}
.popover.top > .arrow {
  left: 50%;
  margin-left: -11px;
  border-bottom-width: 0;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  bottom: -11px;
}
.popover.top > .arrow:after {
  content: " ";
  bottom: 1px;
  margin-left: -10px;
  border-bottom-width: 0;
  border-top-color: #fff;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-left-width: 0;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
}
.popover.right > .arrow:after {
  content: " ";
  left: 1px;
  bottom: -10px;
  border-left-width: 0;
  border-right-color: #fff;
}
.popover.bottom > .arrow {
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
  top: -11px;
}
.popover.bottom > .arrow:after {
  content: " ";
  top: 1px;
  margin-left: -10px;
  border-top-width: 0;
  border-bottom-color: #fff;
}
.popover.left > .arrow {
  top: 50%;
  right: -11px;
  margin-top: -11px;
  border-right-width: 0;
  border-left-color: #999999;
  border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
  content: " ";
  right: 1px;
  border-right-width: 0;
  border-left-color: #fff;
  bottom: -10px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  overflow: hidden;
  width: 100%;
}
.carousel-inner > .item {
  display: none;
  position: relative;
  -webkit-transition: 0.6s ease-in-out left;
  -o-transition: 0.6s ease-in-out left;
  transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
  .carousel-inner > .item {
    -webkit-transition: -webkit-transform 0.6s ease-in-out;
    -moz-transition: -moz-transform 0.6s ease-in-out;
    -o-transition: -o-transform 0.6s ease-in-out;
    transition: transform 0.6s ease-in-out;
    -webkit-backface-visibility: hidden;
    -moz-backface-visibility: hidden;
    backface-visibility: hidden;
    -webkit-perspective: 1000px;
    -moz-perspective: 1000px;
    perspective: 1000px;
  }
  .carousel-inner > .item.next,
  .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(100%, 0, 0);
    transform: translate3d(100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.prev,
  .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(-100%, 0, 0);
    transform: translate3d(-100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.next.left,
  .carousel-inner > .item.prev.right,
  .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
    transform: translate3d(0, 0, 0);
    left: 0;
  }
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
  display: block;
}
.carousel-inner > .active {
  left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
  position: absolute;
  top: 0;
  width: 100%;
}
.carousel-inner > .next {
  left: 100%;
}
.carousel-inner > .prev {
  left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
  left: 0;
}
.carousel-inner > .active.left {
  left: -100%;
}
.carousel-inner > .active.right {
  left: 100%;
}
.carousel-control {
  position: absolute;
  top: 0;
  left: 0;
  bottom: 0;
  width: 15%;
  opacity: 0.5;
  filter: alpha(opacity=50);
  font-size: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
}
.carousel-control.left {
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
}
.carousel-control.right {
  left: auto;
  right: 0;
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-repeat: repeat-x;
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
}
.carousel-control:hover,
.carousel-control:focus {
  outline: 0;
  color: #fff;
  text-decoration: none;
  opacity: 0.9;
  filter: alpha(opacity=90);
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  margin-top: -10px;
  z-index: 5;
  display: inline-block;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
  left: 50%;
  margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
  right: 50%;
  margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
  width: 20px;
  height: 20px;
  line-height: 1;
  font-family: serif;
}
.carousel-control .icon-prev:before {
  content: '\2039';
}
.carousel-control .icon-next:before {
  content: '\203a';
}
.carousel-indicators {
  position: absolute;
  bottom: 10px;
  left: 50%;
  z-index: 15;
  width: 60%;
  margin-left: -30%;
  padding-left: 0;
  list-style: none;
  text-align: center;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  border: 1px solid #fff;
  border-radius: 10px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
}
.carousel-indicators .active {
  margin: 0;
  width: 12px;
  height: 12px;
  background-color: #fff;
}
.carousel-caption {
  position: absolute;
  left: 15%;
  right: 15%;
  bottom: 20px;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #fff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
  text-shadow: none;
}
@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-prev,
  .carousel-control .icon-next {
    width: 30px;
    height: 30px;
    margin-top: -10px;
    font-size: 30px;
  }
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .icon-prev {
    margin-left: -10px;
  }
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-next {
    margin-right: -10px;
  }
  .carousel-caption {
    left: 20%;
    right: 20%;
    padding-bottom: 30px;
  }
  .carousel-indicators {
    bottom: 20px;
  }
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
  content: " ";
  display: table;
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
  clear: both;
}
.center-block {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.pull-right {
  float: right !important;
}
.pull-left {
  float: left !important;
}
.hide {
  display: none !important;
}
.show {
  display: block !important;
}
.invisible {
  visibility: hidden;
}
.text-hide {
  font: 0/0 a;
  color: transparent;
  text-shadow: none;
  background-color: transparent;
  border: 0;
}
.hidden {
  display: none !important;
}
.affix {
  position: fixed;
}
@-ms-viewport {
  width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
  display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
  display: none !important;
}
@media (max-width: 767px) {
  .visible-xs {
    display: block !important;
  }
  table.visible-xs {
    display: table !important;
  }
  tr.visible-xs {
    display: table-row !important;
  }
  th.visible-xs,
  td.visible-xs {
    display: table-cell !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-block {
    display: block !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline {
    display: inline !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm {
    display: block !important;
  }
  table.visible-sm {
    display: table !important;
  }
  tr.visible-sm {
    display: table-row !important;
  }
  th.visible-sm,
  td.visible-sm {
    display: table-cell !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-block {
    display: block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline {
    display: inline !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md {
    display: block !important;
  }
  table.visible-md {
    display: table !important;
  }
  tr.visible-md {
    display: table-row !important;
  }
  th.visible-md,
  td.visible-md {
    display: table-cell !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-block {
    display: block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline {
    display: inline !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg {
    display: block !important;
  }
  table.visible-lg {
    display: table !important;
  }
  tr.visible-lg {
    display: table-row !important;
  }
  th.visible-lg,
  td.visible-lg {
    display: table-cell !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-block {
    display: block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline {
    display: inline !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline-block {
    display: inline-block !important;
  }
}
@media (max-width: 767px) {
  .hidden-xs {
    display: none !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .hidden-sm {
    display: none !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .hidden-md {
    display: none !important;
  }
}
@media (min-width: 1200px) {
  .hidden-lg {
    display: none !important;
  }
}
.visible-print {
  display: none !important;
}
@media print {
  .visible-print {
    display: block !important;
  }
  table.visible-print {
    display: table !important;
  }
  tr.visible-print {
    display: table-row !important;
  }
  th.visible-print,
  td.visible-print {
    display: table-cell !important;
  }
}
.visible-print-block {
  display: none !important;
}
@media print {
  .visible-print-block {
    display: block !important;
  }
}
.visible-print-inline {
  display: none !important;
}
@media print {
  .visible-print-inline {
    display: inline !important;
  }
}
.visible-print-inline-block {
  display: none !important;
}
@media print {
  .visible-print-inline-block {
    display: inline-block !important;
  }
}
@media print {
  .hidden-print {
    display: none !important;
  }
}
/*!
*
* Font Awesome
*
*/
/*!
 *  Font Awesome 4.2.0 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=4.2.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.2.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.2.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.2.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.2.0#fontawesomeregular') format('svg');
  font-weight: normal;
  font-style: normal;
}
.fa {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
  font-size: 1.33333333em;
  line-height: 0.75em;
  vertical-align: -15%;
}
.fa-2x {
  font-size: 2em;
}
.fa-3x {
  font-size: 3em;
}
.fa-4x {
  font-size: 4em;
}
.fa-5x {
  font-size: 5em;
}
.fa-fw {
  width: 1.28571429em;
  text-align: center;
}
.fa-ul {
  padding-left: 0;
  margin-left: 2.14285714em;
  list-style-type: none;
}
.fa-ul > li {
  position: relative;
}
.fa-li {
  position: absolute;
  left: -2.14285714em;
  width: 2.14285714em;
  top: 0.14285714em;
  text-align: center;
}
.fa-li.fa-lg {
  left: -1.85714286em;
}
.fa-border {
  padding: .2em .25em .15em;
  border: solid 0.08em #eee;
  border-radius: .1em;
}
.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;
}
@-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 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=1);
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2);
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=3);
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  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 {
  filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1);
  -webkit-transform: scale(1, -1);
  -ms-transform: scale(1, -1);
  transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
  filter: none;
}
.fa-stack {
  position: relative;
  display: inline-block;
  width: 2em;
  height: 2em;
  line-height: 2em;
  vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
  position: absolute;
  left: 0;
  width: 100%;
  text-align: center;
}
.fa-stack-1x {
  line-height: inherit;
}
.fa-stack-2x {
  font-size: 2em;
}
.fa-inverse {
  color: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.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 {
  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: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-rebel:before {
  content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
  content: "\f1d1";
}
.fa-git-square:before {
  content: "\f1d2";
}
.fa-git:before {
  content: "\f1d3";
}
.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";
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
code {
  color: #000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

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

Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
.hbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.vbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
.vbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
  /* Old browsers */
  -webkit-box-direction: reverse;
  -moz-box-direction: reverse;
  box-direction: reverse;
  /* Modern browsers */
  flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
  /* Old browsers */
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
  /* Old browsers */
  -webkit-box-flex: 2;
  -moz-box-flex: 2;
  box-flex: 2;
  /* Modern browsers */
  flex: 2;
}
.box-group1 {
  /*  Deprecated */
  -webkit-box-flex-group: 1;
  -moz-box-flex-group: 1;
  box-flex-group: 1;
}
.box-group2 {
  /* Deprecated */
  -webkit-box-flex-group: 2;
  -moz-box-flex-group: 2;
  box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
  /* Old browsers */
  -webkit-box-pack: start;
  -moz-box-pack: start;
  box-pack: start;
  /* Modern browsers */
  justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
  /* Old browsers */
  -webkit-box-pack: center;
  -moz-box-pack: center;
  box-pack: center;
  /* Modern browsers */
  justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
  /* Old browsers */
  -webkit-box-pack: baseline;
  -moz-box-pack: baseline;
  box-pack: baseline;
  /* Modern browsers */
  justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
  /* Old browsers */
  -webkit-box-pack: stretch;
  -moz-box-pack: stretch;
  box-pack: stretch;
  /* Modern browsers */
  justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
  /* Old browsers */
  -webkit-box-align: start;
  -moz-box-align: start;
  box-align: start;
  /* Modern browsers */
  align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
  /* Old browsers */
  -webkit-box-align: end;
  -moz-box-align: end;
  box-align: end;
  /* Modern browsers */
  align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
  /* Old browsers */
  -webkit-box-align: center;
  -moz-box-align: center;
  box-align: center;
  /* Modern browsers */
  align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
  /* Old browsers */
  -webkit-box-align: baseline;
  -moz-box-align: baseline;
  box-align: baseline;
  /* Modern browsers */
  align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
  /* Old browsers */
  -webkit-box-align: stretch;
  -moz-box-align: stretch;
  box-align: stretch;
  /* Modern browsers */
  align-items: stretch;
}
div.error {
  margin: 2em;
  text-align: center;
}
div.error > h1 {
  font-size: 500%;
  line-height: normal;
}
div.error > p {
  font-size: 200%;
  line-height: normal;
}
div.traceback-wrapper {
  text-align: left;
  max-width: 800px;
  margin: auto;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
body {
  background-color: #fff;
  /* This makes sure that the body covers the entire window and needs to
       be in a different element than the display: box in wrapper below */
  position: absolute;
  left: 0px;
  right: 0px;
  top: 0px;
  bottom: 0px;
  overflow: visible;
}
body > #header {
  /* Initially hidden to prevent FLOUC */
  display: none;
  background-color: #fff;
  /* Display over codemirror */
  position: relative;
  z-index: 100;
}
body > #header #header-container {
  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;
}
@media (max-width: 991px) {
  #ipython_notebook {
    margin-left: 10px;
  }
}
[dir="rtl"] #ipython_notebook {
  float: right !important;
}
#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#login_widget {
  float: right;
}
span#login_widget > .button,
#logout {
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button:focus,
#logout:focus,
span#login_widget > .button.focus,
#logout.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
  background-image: none;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus {
  background-color: #fff;
  border-color: #ccc;
}
span#login_widget > .button .badge,
#logout .badge {
  color: #fff;
  background-color: #333;
}
.nav-header {
  text-transform: none;
}
#header > span {
  margin-top: 10px;
}
.modal_stretch .modal-dialog {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
  max-height: calc(100vh - 200px);
  overflow: auto;
  flex: 1;
}
@media (min-width: 768px) {
  .modal .modal-dialog {
    width: 700px;
  }
}
@media (min-width: 768px) {
  select.form-control {
    margin-left: 12px;
    margin-right: 12px;
  }
}
/*!
*
* IPython auth
*
*/
.center-nav {
  display: inline-block;
  margin-bottom: -4px;
}
/*!
*
* 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 {
  text-align: center;
  vertical-align: middle;
  display: inline;
  opacity: 0;
  z-index: 2;
  width: 12ex;
  margin-right: -12ex;
}
.alternate_upload .btn-upload {
  height: 22px;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
[dir="rtl"] #tabs li {
  float: right;
}
ul#tabs {
  margin-bottom: 4px;
}
[dir="rtl"] ul#tabs {
  margin-right: 0px;
}
ul#tabs a {
  padding-top: 6px;
  padding-bottom: 4px;
}
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 {
  float: left !important;
}
[dir="rtl"] .list_toolbar .pull-right {
  padding-top: 1px;
  float: left !important;
}
[dir="rtl"] .list_toolbar .pull-left {
  float: right !important;
}
.dynamic-buttons {
  padding-top: 3px;
  display: inline-block;
}
.list_toolbar [class*="span"] {
  min-height: 24px;
}
.list_header {
  font-weight: bold;
  background-color: #EEE;
}
.list_placeholder {
  font-weight: bold;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
}
.list_container {
  margin-top: 4px;
  margin-bottom: 20px;
  border: 1px solid #ddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #ddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #ddd;
}
.list_item a {
  text-decoration: none;
}
.list_item:hover {
  background-color: #fafafa;
}
.list_header > div,
.list_item > div {
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
.list_header > div input,
.list_item > div input {
  margin-right: 7px;
  margin-left: 14px;
  vertical-align: baseline;
  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;
}
.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_buttons {
  line-height: 1em;
  margin-left: -5px;
}
.item_buttons .btn,
.item_buttons .btn-group,
.item_buttons .input-group {
  float: left;
}
.item_buttons > .btn,
.item_buttons > .btn-group,
.item_buttons > .input-group {
  margin-left: 5px;
}
.item_buttons .btn {
  min-width: 13ex;
}
.item_buttons .running-indicator {
  padding-top: 4px;
  color: #5cb85c;
}
.item_buttons .kernel-name {
  padding-top: 4px;
  color: #5bc0de;
  margin-right: 7px;
  float: left;
}
.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;
}
#tree-selector {
  padding-right: 0px;
}
[dir="rtl"] #tree-selector a {
  float: right;
}
#button-select-all {
  min-width: 50px;
}
#select-all {
  margin-left: 7px;
  margin-right: 2px;
}
.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.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.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.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.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;
}
[dir="rtl"] #new-menu {
  text-align: right;
}
.kernel-menu-icon {
  padding-right: 12px;
  width: 24px;
  content: "\f096";
}
.kernel-menu-icon:before {
  content: "\f096";
}
.kernel-menu-icon-current:before {
  content: "\f00c";
}
#tab_content {
  padding-top: 20px;
}
#running .panel-group .panel {
  margin-top: 3px;
  margin-bottom: 1em;
}
#running .panel-group .panel .panel-heading {
  background-color: #EEE;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
  text-decoration: none;
}
#running .panel-group .panel .panel-body {
  padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
  margin-top: 0px;
  margin-bottom: 0px;
  border: 0px;
  border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
  border-bottom: 1px solid #ddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
  border-bottom: 0px;
}
[dir="rtl"] #running .col-sm-8 {
  float: right !important;
}
.delete-button {
  display: none;
}
.duplicate-button {
  display: none;
}
.rename-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.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.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.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.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.pull-right {
  margin-left: .3em;
}
#filename {
  font-size: 16pt;
  display: table;
  padding: 0px 5px;
}
#current-mode {
  padding-left: 5px;
  padding-right: 5px;
}
#texteditor-backdrop {
  padding-top: 20px;
  padding-bottom: 20px;
}
@media not print {
  #texteditor-backdrop {
    background-color: #EEE;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #fff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #fff;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI colors. */
.ansibold {
  font-weight: bold;
}
/* use dark versions for foreground, to improve visibility */
.ansiblack {
  color: black;
}
.ansired {
  color: darkred;
}
.ansigreen {
  color: darkgreen;
}
.ansiyellow {
  color: #c4a000;
}
.ansiblue {
  color: darkblue;
}
.ansipurple {
  color: darkviolet;
}
.ansicyan {
  color: steelblue;
}
.ansigray {
  color: gray;
}
/* and light for background, for the same reason */
.ansibgblack {
  background-color: black;
}
.ansibgred {
  background-color: red;
}
.ansibggreen {
  background-color: green;
}
.ansibgyellow {
  background-color: yellow;
}
.ansibgblue {
  background-color: blue;
}
.ansibgpurple {
  background-color: magenta;
}
.ansibgcyan {
  background-color: cyan;
}
.ansibggray {
  background-color: gray;
}
div.cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  border-radius: 2px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  border-width: 1px;
  border-style: solid;
  border-color: transparent;
  width: 100%;
  padding: 5px;
  /* This acts as a spacer between cells, that is outside the border */
  margin: 0px;
  outline: none;
  border-left-width: 1px;
  padding-left: 5px;
  background: linear-gradient(to right, transparent -40px, transparent 1px, transparent 1px, transparent 100%);
}
div.cell.jupyter-soft-selected {
  border-left-color: #90CAF9;
  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 {
  border-color: #ababab;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 5px, transparent 5px, transparent 100%);
}
@media print {
  div.cell.selected {
    border-color: transparent;
  }
}
div.cell.selected.jupyter-soft-selected {
  border-left-width: 0;
  padding-left: 6px;
  background: linear-gradient(to right, #42A5F5 -40px, #42A5F5 7px, #E3F2FD 7px, #E3F2FD 100%);
}
.edit_mode div.cell.selected {
  border-color: #66BB6A;
  border-left-width: 0px;
  padding-left: 6px;
  background: linear-gradient(to right, #66BB6A -40px, #66BB6A 5px, transparent 5px, transparent 100%);
}
@media print {
  .edit_mode div.cell.selected {
    border-color: transparent;
  }
}
.prompt {
  /* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
  min-width: 14ex;
  /* This padding is tuned to match the padding on the CodeMirror editor. */
  padding: 0.4em;
  margin: 0px;
  font-family: monospace;
  text-align: right;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
  /* Don't highlight prompt number selection */
  -webkit-touch-callout: none;
  -webkit-user-select: none;
  -khtml-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
  /* Use default cursor */
  cursor: default;
}
@media (max-width: 540px) {
  .prompt {
    text-align: left;
  }
}
div.inner_cell {
  min-width: 0;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
  border: 1px solid #cfcfcf;
  border-radius: 2px;
  background: #f7f7f7;
  line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
   is no content in the output_subarea and the prompt. The main purpose of this is
   to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
  padding-top: 0;
  padding-bottom: 0;
}
div.unrecognized_cell {
  padding: 5px 5px 5px 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.unrecognized_cell .inner_cell {
  border-radius: 2px;
  padding: 5px;
  font-weight: bold;
  color: red;
  border: 1px solid #cfcfcf;
  background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
  color: inherit;
  text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
  color: inherit;
  text-decoration: none;
}
@media (max-width: 540px) {
  div.unrecognized_cell > div.prompt {
    display: none;
  }
}
div.code_cell {
  /* avoid page breaking on code cells when printing */
}
@media print {
  div.code_cell {
    page-break-inside: avoid;
  }
}
/* any special styling for code cells that are currently running goes here */
div.input {
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.input {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
  color: #303F9F;
  border-top: 1px solid transparent;
}
div.input_area > div.highlight {
  margin: 0.4em;
  border: none;
  padding: 0px;
  background-color: transparent;
}
div.input_area > div.highlight > pre {
  margin: 0px;
  border: none;
  padding: 0px;
  background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
 * monospace font with inconsistent normal/bold/italic height.  See
 * notebookmain.js.  Such fonts will have keywords vertically offset with
 * respect to the rest of the text.  The user should select a better font.
 * See: https://github.com/ipython/ipython/issues/1503
 *
 * .CodeMirror span {
 *      vertical-align: bottom;
 * }
 */
.CodeMirror {
  line-height: 1.21429em;
  /* Changed from 1em to our global default */
  font-size: 14px;
  height: auto;
  /* Changed to auto to autogrow */
  background: none;
  /* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
  /*  The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
  /*  We have found that if it is visible, vertical scrollbars appear with font size changes.*/
  overflow-y: hidden;
  overflow-x: auto;
}
.CodeMirror-lines {
  /* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
  /* we have set a different line-height and want this to scale with that. */
  padding: 0.4em;
}
.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. We need the 0 value because of how we size */
  /* .CodeMirror-lines */
  padding: 0;
  border: 0;
  border-radius: 0;
}
/*

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

*/
.highlight-base {
  color: #000;
}
.highlight-variable {
  color: #000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #408080;
  font-style: italic;
}
.highlight-number {
  color: #080;
}
.highlight-atom {
  color: #88F;
}
.highlight-keyword {
  color: #008000;
  font-weight: bold;
}
.highlight-builtin {
  color: #008000;
}
.highlight-error {
  color: #f00;
}
.highlight-operator {
  color: #AA22FF;
  font-weight: bold;
}
.highlight-meta {
  color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
  color: #00f;
}
.highlight-string-2 {
  color: #f50;
}
.highlight-qualifier {
  color: #555;
}
.highlight-bracket {
  color: #997;
}
.highlight-tag {
  color: #170;
}
.highlight-attribute {
  color: #00c;
}
.highlight-header {
  color: blue;
}
.highlight-quote {
  color: #090;
}
.highlight-link {
  color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
  color: #008000;
  font-weight: bold;
}
.cm-s-ipython span.cm-atom {
  color: #88F;
}
.cm-s-ipython span.cm-number {
  color: #080;
}
.cm-s-ipython span.cm-def {
  color: #00f;
}
.cm-s-ipython span.cm-variable {
  color: #000;
}
.cm-s-ipython span.cm-operator {
  color: #AA22FF;
  font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
  color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
  color: #333333;
}
.cm-s-ipython span.cm-comment {
  color: #408080;
  font-style: italic;
}
.cm-s-ipython span.cm-string {
  color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
  color: #f50;
}
.cm-s-ipython span.cm-meta {
  color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
  color: #555;
}
.cm-s-ipython span.cm-builtin {
  color: #008000;
}
.cm-s-ipython span.cm-bracket {
  color: #997;
}
.cm-s-ipython span.cm-tag {
  color: #170;
}
.cm-s-ipython span.cm-attribute {
  color: #00c;
}
.cm-s-ipython span.cm-header {
  color: blue;
}
.cm-s-ipython span.cm-quote {
  color: #090;
}
.cm-s-ipython span.cm-link {
  color: #00c;
}
.cm-s-ipython span.cm-error {
  color: #f00;
}
.cm-s-ipython span.cm-tab {
  background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
  background-position: right;
  background-repeat: no-repeat;
}
div.output_wrapper {
  /* this position must be relative to enable descendents to be absolute within it */
  position: relative;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
  /* ideally, this would be max-height, but FF barfs all over that */
  height: 24em;
  /* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
  width: 100%;
  overflow: auto;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
  margin: 0px;
  padding: 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
div.out_prompt_overlay {
  height: 100%;
  padding: 0px 0.4em;
  position: absolute;
  border-radius: 2px;
}
div.out_prompt_overlay:hover {
  /* use inner shadow to get border that is computed the same on WebKit/FF */
  -webkit-box-shadow: inset 0 0 1px #000;
  box-shadow: inset 0 0 1px #000;
  background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
  color: #D84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
  padding: 0px;
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
div.output_area .MathJax_Display {
  text-align: left !important;
}
div.output_area .rendered_html table {
  margin-left: 0;
  margin-right: 0;
}
div.output_area .rendered_html img {
  margin-left: 0;
  margin-right: 0;
}
div.output_area img,
div.output_area svg {
  max-width: 100%;
  height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
  max-width: none;
}
/* This is needed to protect the pre formating from global settings such
   as that of bootstrap */
.output {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.output_area {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
  }
}
div.output_area pre {
  margin: 0;
  padding: 0;
  border: 0;
  vertical-align: baseline;
  color: black;
  background-color: transparent;
  border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
   the prompt div. */
div.output_subarea {
  overflow-x: auto;
  padding: 0.4em;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
  max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
  overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
   output types */
/* all text output has this class: */
div.output_text {
  text-align: left;
  color: #000;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
  background: #fdd;
  /* very light red background for stderr */
}
div.output_latex {
  text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
  padding: 0;
}
.js-error {
  color: darkred;
}
/* raw_input styles */
div.raw_input_container {
  line-height: 1.21429em;
  padding-top: 5px;
}
pre.raw_input_prompt {
  /* nothing needed here. */
}
input.raw_input {
  font-family: monospace;
  font-size: inherit;
  color: inherit;
  width: auto;
  /* make sure input baseline aligns with prompt */
  vertical-align: baseline;
  /* padding + margin = 0.5em between prompt and cursor */
  padding: 0em 0.25em;
  margin: 0em 0.25em;
}
input.raw_input:focus {
  box-shadow: none;
}
p.p-space {
  margin-bottom: 10px;
}
div.output_unrecognized {
  padding: 5px;
  font-weight: bold;
  color: red;
}
div.output_unrecognized a {
  color: inherit;
  text-decoration: none;
}
div.output_unrecognized a:hover {
  color: inherit;
  text-decoration: none;
}
.rendered_html {
  color: #000;
  /* any extras will just be numbers: */
}
.rendered_html em {
  font-style: italic;
}
.rendered_html strong {
  font-weight: bold;
}
.rendered_html u {
  text-decoration: underline;
}
.rendered_html :link {
  text-decoration: underline;
}
.rendered_html :visited {
  text-decoration: underline;
}
.rendered_html h1 {
  font-size: 185.7%;
  margin: 1.08em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h2 {
  font-size: 157.1%;
  margin: 1.27em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h3 {
  font-size: 128.6%;
  margin: 1.55em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h4 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h5 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h6 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h1:first-child {
  margin-top: 0.538em;
}
.rendered_html h2:first-child {
  margin-top: 0.636em;
}
.rendered_html h3:first-child {
  margin-top: 0.777em;
}
.rendered_html h4:first-child {
  margin-top: 1em;
}
.rendered_html h5:first-child {
  margin-top: 1em;
}
.rendered_html h6:first-child {
  margin-top: 1em;
}
.rendered_html ul {
  list-style: disc;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ul ul {
  list-style: square;
  margin: 0em 2em;
}
.rendered_html ul ul ul {
  list-style: circle;
  margin: 0em 2em;
}
.rendered_html ol {
  list-style: decimal;
  margin: 0em 2em;
  padding-left: 0px;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
  margin: 0em 2em;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
  margin: 0em 2em;
}
.rendered_html * + ul {
  margin-top: 1em;
}
.rendered_html * + ol {
  margin-top: 1em;
}
.rendered_html hr {
  color: black;
  background-color: black;
}
.rendered_html pre {
  margin: 1em 2em;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  background-color: #fff;
  color: #000;
  font-size: 100%;
  padding: 0px;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: 1px solid black;
  border-collapse: collapse;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  border: 1px solid black;
  border-collapse: collapse;
  margin: 1em 2em;
}
.rendered_html td,
.rendered_html th {
  text-align: left;
  vertical-align: middle;
  padding: 4px;
}
.rendered_html th {
  font-weight: bold;
}
.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;
}
div.text_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
@media (max-width: 540px) {
  div.text_cell > div.prompt {
    display: none;
  }
}
div.text_cell_render {
  /*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
  outline: none;
  resize: none;
  width: inherit;
  border-style: none;
  padding: 0.5em 0.5em 0.5em 0.4em;
  color: #000;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
a.anchor-link:link {
  text-decoration: none;
  padding: 0px 20px;
  visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
  visibility: visible;
}
.text_cell.rendered .input_area {
  display: none;
}
.text_cell.rendered .rendered_html {
  overflow-x: auto;
  overflow-y: hidden;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
  font-weight: bold;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
  font-size: 185.7%;
}
.cm-header-2 {
  font-size: 157.1%;
}
.cm-header-3 {
  font-size: 128.6%;
}
.cm-header-4 {
  font-size: 110%;
}
.cm-header-5 {
  font-size: 100%;
  font-style: italic;
}
.cm-header-6 {
  font-size: 100%;
  font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
  .notebook_app {
    padding-left: 0px;
    padding-right: 0px;
  }
}
#ipython-main-app {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook_panel {
  margin: 0px;
  padding: 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook {
  font-size: 14px;
  line-height: 20px;
  overflow-y: hidden;
  overflow-x: auto;
  width: 100%;
  /* This spaces the page away from the edge of the notebook area */
  padding-top: 20px;
  margin: 0px;
  outline: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  min-height: 100%;
}
@media not print {
  #notebook-container {
    padding: 15px;
    background-color: #fff;
    min-height: 0;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
@media print {
  #notebook-container {
    width: 100%;
  }
}
div.ui-widget-content {
  border: 1px solid #ababab;
  outline: none;
}
pre.dialog {
  background-color: #f7f7f7;
  border: 1px solid #ddd;
  border-radius: 2px;
  padding: 0.4em;
  padding-left: 2em;
}
p.dialog {
  padding: 0.2em;
}
/* Word-wrap output correctly.  This is the CSS3 spelling, though Firefox seems
   to not honor it correctly.  Webkit browsers (Chrome, rekonq, Safari) do.
 */
pre,
code,
kbd,
samp {
  white-space: pre-wrap;
}
#fonttest {
  font-family: monospace;
}
p {
  margin-bottom: 0;
}
.end_space {
  min-height: 100px;
  transition: height .2s ease;
}
.notebook_app > #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
  .notebook_app {
    background-color: #EEE;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
  border: thin solid #CFCFCF;
  border-bottom: none;
  background: #EEE;
  border-radius: 2px 2px 0px 0px;
  width: 100%;
  height: 29px;
  padding-right: 4px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
  display: -webkit-flex;
}
@media print {
  .celltoolbar {
    display: none;
  }
}
.ctb_hideshow {
  display: none;
  vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
   Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
  display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border-top-right-radius: 0px;
  border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border: 1px solid #cfcfcf;
}
.celltoolbar {
  font-size: 87%;
  padding-top: 3px;
}
.celltoolbar select {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #fff;
  background-image: none;
  border: 1px solid #ccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  width: inherit;
  font-size: inherit;
  height: 22px;
  padding: 0px;
  display: inline-block;
}
.celltoolbar select:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
  color: #999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999;
}
.celltoolbar select::-ms-expand {
  border: 0;
  background-color: transparent;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
  background-color: #eeeeee;
  opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
  cursor: not-allowed;
}
textarea.celltoolbar select {
  height: auto;
}
select.celltoolbar select {
  height: 30px;
  line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
  height: auto;
}
.celltoolbar label {
  margin-left: 5px;
  margin-right: 5px;
}
.completions {
  position: absolute;
  z-index: 110;
  overflow: hidden;
  border: 1px solid #ababab;
  border-radius: 2px;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  line-height: 1;
}
.completions select {
  background: white;
  outline: none;
  border: none;
  padding: 0px;
  margin: 0px;
  overflow: auto;
  font-family: monospace;
  font-size: 110%;
  color: #000;
  width: auto;
}
.completions select option.context {
  color: #286090;
}
#kernel_logo_widget {
  float: right !important;
  float: right;
}
#kernel_logo_widget .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
#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;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -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.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
.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;
}
.indicator_area {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#kernel_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
  padding-left: 5px;
  padding-right: 5px;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #777;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  margin-top: 2px;
  margin-bottom: 0px;
  margin-left: 0px;
  margin-right: 0px;
  display: none;
}
.modal_indicator:before {
  width: 1.28571429em;
  text-align: center;
}
.edit_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f040";
}
.edit_mode .modal_indicator:before.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.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.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.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.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.pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
  margin-left: .3em;
}
.notification_widget {
  color: #777;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333;
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
  color: #333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  background-image: none;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
  background-color: #fff;
  border-color: #ccc;
}
.notification_widget .badge {
  color: #fff;
  background-color: #333;
}
.notification_widget.warning {
  color: #fff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #fff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #fff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
  color: #fff;
  background-color: #d58512;
  border-color: #985f0d;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  background-image: none;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning .badge {
  color: #f0ad4e;
  background-color: #fff;
}
.notification_widget.success {
  color: #fff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #fff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #fff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
  color: #fff;
  background-color: #398439;
  border-color: #255625;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  background-image: none;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success .badge {
  color: #5cb85c;
  background-color: #fff;
}
.notification_widget.info {
  color: #fff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #fff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #fff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
  color: #fff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  background-image: none;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info .badge {
  color: #5bc0de;
  background-color: #fff;
}
.notification_widget.danger {
  color: #fff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #fff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #fff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
  color: #fff;
  background-color: #ac2925;
  border-color: #761c19;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  background-image: none;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger .badge {
  color: #d9534f;
  background-color: #fff;
}
div#pager {
  background-color: #fff;
  font-size: 14px;
  line-height: 20px;
  overflow: hidden;
  display: none;
  position: fixed;
  bottom: 0px;
  width: 100%;
  max-height: 50%;
  padding-top: 8px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  /* Display over codemirror */
  z-index: 100;
  /* Hack which prevents jquery ui resizable from changing top. */
  top: auto !important;
}
div#pager pre {
  line-height: 1.21429em;
  color: #000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-contents {
  position: relative;
  overflow: auto;
  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
  position: relative;
  padding: 15px 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
  top: 0px;
  height: 8px;
  background: #f7f7f7;
  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
  /* This injects handle bars (a short, wide = symbol) for 
        the resize handle. */
}
div#pager .ui-resizable-handle::after {
  content: '';
  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
  margin-left: -15px;
  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  line-height: 1.8em;
}
.shortcut_key {
  display: inline-block;
  width: 21ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
  display: inline-block;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
span.save_widget {
  margin-top: 6px;
}
span.save_widget span.filename {
  height: 1em;
  line-height: 1em;
  padding: 3px;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
  }
  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;
}
#maintoolbar {
  margin-bottom: -3px;
  margin-top: -8px;
  border: 0px;
  min-height: 27px;
  margin-left: 0px;
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<h1 id="Introduction">Introduction<a class="anchor-link" href="#Introduction">&#182;</a></h1><p>In this notebook, we will explore the use of matrix representations of graphs, and show how their are direct matrix parallels for some of the algorithms that we have investigated.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">networkx</span> <span class="k">as</span> <span class="nn">nx</span>
<span class="kn">from</span> <span class="nn">networkx</span> <span class="k">import</span> <span class="n">bipartite</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
<span class="kn">import</span> <span class="nn">nxviz</span> <span class="k">as</span> <span class="nn">nv</span>
<span class="kn">from</span> <span class="nn">custom.load_data</span> <span class="k">import</span> <span class="n">load_university_social_network</span><span class="p">,</span> <span class="n">load_amazon_reviews</span>
<span class="kn">from</span> <span class="nn">matplotlib</span> <span class="k">import</span> <span class="n">animation</span>
<span class="kn">from</span> <span class="nn">IPython.display</span> <span class="k">import</span> <span class="n">HTML</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>

<span class="o">%</span><span class="k">load_ext</span> autoreload
<span class="o">%</span><span class="k">autoreload</span> 2
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</pre></div>

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<p>For this notebook, we will specifically see the connection between matrix operations and pathfinding between nodes.</p>

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<h1 id="Toy-Example:-Linear-Chain">Toy Example: Linear Chain<a class="anchor-link" href="#Toy-Example:-Linear-Chain">&#182;</a></h1><p>To start, let us use a simple four-node network, in which nodes are joined in a chain. Convince yourself that this is is a linear chain by running the cell below.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">nodes</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">4</span><span class="p">))</span>
<span class="n">G1</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">Graph</span><span class="p">()</span>

<span class="n">G1</span><span class="o">.</span><span class="n">add_nodes_from</span><span class="p">(</span><span class="n">nodes</span><span class="p">)</span>
<span class="n">G1</span><span class="o">.</span><span class="n">add_edges_from</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">nodes</span><span class="p">,</span> <span class="n">nodes</span><span class="p">[</span><span class="mi">1</span><span class="p">:]))</span>
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<h2 id="Graph-Form">Graph Form<a class="anchor-link" href="#Graph-Form">&#182;</a></h2><p>When visualized as circles and lines, the graph looks like this:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">nx</span><span class="o">.</span><span class="n">draw</span><span class="p">(</span><span class="n">G1</span><span class="p">,</span> <span class="n">with_labels</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
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<h2 id="Matrix-Form">Matrix Form<a class="anchor-link" href="#Matrix-Form">&#182;</a></h2><p>When represented in matrix form, it looks like the plot below. (Explain row by columns = node by nodes.)</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">nv</span><span class="o">.</span><span class="n">MatrixPlot</span><span class="p">(</span><span class="n">G1</span><span class="p">)</span><span class="o">.</span><span class="n">draw</span><span class="p">()</span>
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<h2 id="Playing-with-the-matrix-form">Playing with the matrix form<a class="anchor-link" href="#Playing-with-the-matrix-form">&#182;</a></h2><p>NetworkX provides a <code>to_numpy_array()</code> function that will return a numpy array of the graph. That is used behind-the-scenes in <code>nxviz</code> to generate the MatrixPlot.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">A1</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">to_numpy_array</span><span class="p">(</span><span class="n">G1</span><span class="p">,</span> <span class="n">nodelist</span><span class="o">=</span><span class="nb">sorted</span><span class="p">(</span><span class="n">G1</span><span class="o">.</span><span class="n">nodes</span><span class="p">()))</span>
<span class="n">A1</span>
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<pre>array([[0., 1., 0., 0.],
       [1., 0., 1., 0.],
       [0., 1., 0., 1.],
       [0., 0., 1., 0.]])</pre>
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<p>One neat result is that if we take the adjacency matrix, and matrix-matrix multiply it against itself ("matrix power 2"), we will get back a new matrix that has interesting properties.</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="c1"># One way of coding this up</span>
<span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">matrix_power</span><span class="p">(</span><span class="n">A1</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>

<span class="c1"># Another equivalent way, that takes advantage of Python 3.5&#39;s matrix multiply operator</span>
<span class="n">A1</span> <span class="o">@</span> <span class="n">A1</span>
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<pre>array([[1., 0., 1., 0.],
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       [0., 1., 0., 1.]])</pre>
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<p><strong>Firstly</strong>, if we look at the off-diagonals of the new matrix, this corresponds to the number of paths of length 2 that exist between those two nodes.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">diag</span><span class="p">(</span><span class="n">A1</span> <span class="o">@</span> <span class="n">A1</span><span class="p">)</span>
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<pre>array([1., 2., 2., 1.])</pre>
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<p>Here, one path of length 2 exists between node 0 and node 2, and one path of length 2 exists between node 1 and node 3.</p>
<p><strong>Secondly</strong>, you may notice that the diagonals look like the degree of the nodes. This is a unique property of the 2nd adjacency matrix power: for every node, there are $ d $ degree paths of length two to get back to that same node.</p>
<p>Not convinced? To get from a node and back, that's a path length of 2! :-)</p>

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<p>Let's see if the following statment is true: The $ k^{th} $ matrix power of the graph adjacency matrix indicates how many paths of length $ k $ exist between each pair of nodes.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">matrix_power</span><span class="p">(</span><span class="n">A1</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span>
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<pre>array([[0., 2., 0., 1.],
       [2., 0., 3., 0.],
       [0., 3., 0., 2.],
       [1., 0., 2., 0.]])</pre>
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<p>Indeed, if we think about it, there is, by definition, no way sequence of graph traversals that will allow us to go back to a node within 3 steps. We will always end up at some neighboring node.</p>
<p>In addition, to get to the neighboring node in 3 steps, there are two ways to go about it:</p>
<ul>
<li>node -&gt; neighbor -&gt; node -&gt; neighbor</li>
<li>node -&gt; neighbor -&gt; neighbor's neighbor -&gt; neighbor</li>
</ul>
<p>Or for the case of this chain graph:</p>
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<li>0 -&gt; 1 -&gt; 0 -&gt; 1</li>
<li>0 -&gt; 1 -&gt; 2 -&gt; 1</li>
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<h1 id="Toy-Example:-Directed-Linear-Chain">Toy Example: Directed Linear Chain<a class="anchor-link" href="#Toy-Example:-Directed-Linear-Chain">&#182;</a></h1><p>Let's see if the same properties hold for a directed graph.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">nodes</span>
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<pre>[0, 1, 2, 3]</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">G2</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">DiGraph</span><span class="p">()</span>
<span class="n">G2</span><span class="o">.</span><span class="n">add_nodes_from</span><span class="p">(</span><span class="n">nodes</span><span class="p">)</span>
<span class="n">G2</span><span class="o">.</span><span class="n">add_edges_from</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">nodes</span><span class="p">,</span> <span class="n">nodes</span><span class="p">[</span><span class="mi">1</span><span class="p">:]))</span>
<span class="n">nx</span><span class="o">.</span><span class="n">draw</span><span class="p">(</span><span class="n">G2</span><span class="p">,</span> <span class="n">with_labels</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
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<p>Recall that in a directed graph, the matrix representation is not guaranteed to be symmetric.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">A2</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">to_numpy_array</span><span class="p">(</span><span class="n">G2</span><span class="p">)</span>
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<pre>array([[0., 1., 0., 0.],
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       [0., 0., 0., 0.]])</pre>
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<p>Let's look at the 2nd matrix power: the number of paths of length 2 between any pair of nodes.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">matrix_power</span><span class="p">(</span><span class="n">A2</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
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<pre>array([[0., 0., 1., 0.],
       [0., 0., 0., 1.],
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       [0., 0., 0., 0.]])</pre>
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<p>We see that there's only one path from node 0 to node 2 of length 2, and one path from node 1 to node 3. If you're not convinced of this, trace it for yourself!</p>

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<h2 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h2><p>In this directed graph, how many paths are there from node 0 to node 3 of length 3? Compute the 3rd matrix power and verify your answer.</p>

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<pre>array([[0., 0., 0., 1.],
       [0., 0., 0., 0.],
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       [0., 0., 0., 0.]])</pre>
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<h1 id="Real-Data">Real Data<a class="anchor-link" href="#Real-Data">&#182;</a></h1><p>Now that we've looked at a toy example, let's play around with a real dataset!</p>
<p>This dataset is a residence hall rating dataset. From the <a href="http://konect.uni-koblenz.de/networks/moreno_oz">source website</a>:</p>
<blockquote><p>This directed network contains friendship ratings between 217 residents living at a residence hall located on the Australian National University campus. A node represents a person and edges contain ratings of one friend to another.</p>
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<p>For the purposes of this exercise, we will treat the edges as if they were unweighted.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">G</span> <span class="o">=</span> <span class="n">load_university_social_network</span><span class="p">()</span>
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<h2 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h2><p>Use nxviz's MatrixPlot to draw the graph.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">nv</span><span class="o">.</span><span class="n">MatrixPlot</span><span class="p">(</span><span class="n">G</span><span class="p">)</span><span class="o">.</span><span class="n">draw</span><span class="p">()</span>
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<h2 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h2><p>Using what you know from the previous material, find out how many connected component subgraphs there are in the subgraph.</p>
<p><strong>Hint:</strong> You may need to convert the graph to an undirected one first.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">list</span><span class="p">(</span><span class="n">nx</span><span class="o">.</span><span class="n">connected_component_subgraphs</span><span class="p">(</span><span class="n">G</span><span class="o">.</span><span class="n">to_undirected</span><span class="p">()))</span>
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<pre>[&lt;networkx.classes.graph.Graph at 0x1a15ea0cf8&gt;]</pre>
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<h2 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h2><p>Since there is only one connected component subgraph, pick two nodes in the graph and see how many shortest paths there exist between those two nodes.</p>
<p><strong>Hint:</strong> You will first need to know what the shortest path length is between those two nodes.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">nx</span><span class="o">.</span><span class="n">shortest_path</span><span class="p">(</span><span class="n">G</span><span class="p">,</span> <span class="mi">30</span><span class="p">,</span> <span class="mi">100</span><span class="p">)</span>
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<pre>[30, 196, 115, 100]</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">A</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">to_numpy_array</span><span class="p">(</span><span class="n">G</span><span class="p">)</span>
<span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">matrix_power</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="mi">4</span><span class="p">)[</span><span class="mi">29</span><span class="p">,</span> <span class="mi">99</span><span class="p">]</span>
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<pre>40.0</pre>
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<h1 id="Message-Passing">Message Passing<a class="anchor-link" href="#Message-Passing">&#182;</a></h1><p>Message passing on graphs is a fascinating topic to explore. It's a neat way to think about a wide variety of problems, including the spread of infectious disease agents, rumours, and more. As it turns out, there's a direct matrix interpretation of the message passing operation.</p>
<p>To illustrate this more clearly, let's go back to the directed chain graph, <code>G2</code>.</p>

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<p>If we have a message that begins at node 0, and it is only passed to its neighbors, then node 1 is the next one that possess the message. Node 1 then passes it to node 2, and so on, until it reaches node 3.</p>
<p>There are two key ideas to introduce here. Firstly, there is the notion of the <strong>"wavefront"</strong> of message passing: at the first time step, node 0 is the wavefront, and as time progresses, node 1, 2 and 3 progressively become the wavefront.</p>
<p>Secondly, as the message gets passed, the number of nodes that have seen the message progressively increases.</p>
<p>Let's see how this gets implemented in matrix form.</p>

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<h2 id="Matrix-Message-Passing">Matrix Message Passing<a class="anchor-link" href="#Matrix-Message-Passing">&#182;</a></h2><p>To represent the data, we start with a vertical array of messages of shape <code>(1, 4)</code>. Let's use the following conventions:</p>
<ul>
<li><code>1</code> indicates that a node currently has the message.</li>
<li><code>0</code> indicates that a node currently does not have the message.</li>
</ul>
<p>Since the message starts at node 0, let's put a <code>1</code> in that cell of the array, and <code>0</code>s elsewhere.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">msg</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="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">])</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span>
<span class="n">msg</span>
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<pre>array([[1, 0, 0, 0]])</pre>
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<p>In order to simulate one round of message passing, we matrix multiply the message with the adjacency matrix.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">msg2</span> <span class="o">=</span> <span class="n">msg</span> <span class="o">@</span> <span class="n">A2</span>
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<pre>array([[0., 1., 0., 0.]])</pre>
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<p>The interpretation now is that the message is currently at node 1.</p>
<p>To simulate a second round, we take that result and matrix multiply it against the adjacency matrix again.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">msg3</span> <span class="o">=</span> <span class="n">msg2</span> <span class="o">@</span> <span class="n">A2</span>
<span class="n">msg3</span>
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<pre>array([[0., 0., 1., 0.]])</pre>
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<p>The interpretation now is that the message is currently at node 2.</p>

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<h3 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h3><p>Let's make an animation of this. I have pre-written the animation functions for you; your task is to implement the message passing function <code>propagate()</code> to precompute at each time step the message status.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># fig, ax = plt.subplots()</span>

<span class="k">def</span> <span class="nf">propagate</span><span class="p">(</span><span class="n">G</span><span class="p">,</span> <span class="n">msg</span><span class="p">,</span> <span class="n">n_frames</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Computes the node values based on propagation.</span>
<span class="sd">    </span>
<span class="sd">    Intended to be used before or when being passed into the </span>
<span class="sd">    anim() function (defined below).</span>
<span class="sd">    </span>
<span class="sd">    :param G: A NetworkX Graph.</span>
<span class="sd">    :param msg: The initial state of the message.</span>
<span class="sd">    :returns: A list of 1/0 representing message status at </span>
<span class="sd">        each node.</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="c1"># Initialize a list to store message states at each timestep.</span>
    <span class="n">msg_states</span> <span class="o">=</span> <span class="p">[]</span>
    
    <span class="c1"># Set a variable `new_msg` to be the initial message state.</span>
    <span class="n">new_msg</span> <span class="o">=</span> <span class="n">msg</span>
    
    <span class="c1"># Get the adjacency matrix of the graph G.</span>
    <span class="n">A</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">to_numpy_array</span><span class="p">(</span><span class="n">G</span><span class="p">)</span>
    
    <span class="c1"># Perform message passing at each time step</span>
    <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">n_frames</span><span class="p">):</span>
        <span class="n">msg_states</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">new_msg</span><span class="p">)</span>
        <span class="n">new_msg</span> <span class="o">=</span> <span class="n">new_msg</span> <span class="o">@</span> <span class="n">A</span>
        
    <span class="c1"># Return the message states.</span>
    <span class="k">return</span> <span class="n">msg_states</span>
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<p>The rest of the <code>matplotlib</code> animation functions are shown below.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">update_func</span><span class="p">(</span><span class="n">step</span><span class="p">,</span> <span class="n">nodes</span><span class="p">,</span> <span class="n">colors</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    The update function for each animation time step.</span>
<span class="sd">    </span>
<span class="sd">    :param step: Passed in from matplotlib&#39;s FuncAnimation. Must</span>
<span class="sd">        be present in the function signature.</span>
<span class="sd">    :param nodes: Returned from nx.draw_networkx_edges(). Is an</span>
<span class="sd">        array of colors.</span>
<span class="sd">    :param colors: A list of pre-computed colors.</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="n">nodes</span><span class="o">.</span><span class="n">set_array</span><span class="p">(</span><span class="n">colors</span><span class="p">[</span><span class="n">step</span><span class="p">]</span><span class="o">.</span><span class="n">ravel</span><span class="p">())</span>
    <span class="k">return</span> <span class="n">nodes</span>

<span class="k">def</span> <span class="nf">anim</span><span class="p">(</span><span class="n">G</span><span class="p">,</span> <span class="n">initial_state</span><span class="p">,</span> <span class="n">n_frames</span><span class="o">=</span><span class="mi">4</span><span class="p">):</span>
    <span class="n">colors</span> <span class="o">=</span> <span class="n">propagate</span><span class="p">(</span><span class="n">G</span><span class="p">,</span> <span class="n">initial_state</span><span class="p">,</span> <span class="n">n_frames</span><span class="p">)</span>
    <span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">()</span>
    <span class="n">pos</span> <span class="o">=</span> <span class="p">{</span><span class="n">i</span><span class="p">:(</span><span class="n">i</span><span class="p">,</span> <span class="n">i</span><span class="p">)</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">G</span><span class="p">))}</span>
    <span class="n">adj</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">to_numpy_array</span><span class="p">(</span><span class="n">G</span><span class="p">)</span>
    <span class="n">pos</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">kamada_kawai_layout</span><span class="p">(</span><span class="n">G</span><span class="p">)</span>
    <span class="n">nodes</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">draw_networkx_nodes</span><span class="p">(</span><span class="n">G</span><span class="p">,</span> <span class="n">pos</span><span class="o">=</span><span class="n">pos</span><span class="p">,</span> <span class="n">node_color</span><span class="o">=</span><span class="n">colors</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">ravel</span><span class="p">(),</span> <span class="n">node_size</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span>
    <span class="n">ax</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">draw_networkx_edges</span><span class="p">(</span><span class="n">G</span><span class="p">,</span> <span class="n">pos</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">animation</span><span class="o">.</span><span class="n">FuncAnimation</span><span class="p">(</span><span class="n">fig</span><span class="p">,</span> <span class="n">update_func</span><span class="p">,</span> <span class="n">frames</span><span class="o">=</span><span class="nb">range</span><span class="p">(</span><span class="n">n_frames</span><span class="p">),</span> <span class="n">fargs</span><span class="o">=</span><span class="p">(</span><span class="n">nodes</span><span class="p">,</span> <span class="n">colors</span><span class="p">))</span>


<span class="c1"># Initialize the message</span>
<span class="n">msg</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">G2</span><span class="p">))</span>
<span class="n">msg</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>

<span class="c1"># Animate the graph with message propagation.</span>
<span class="n">HTML</span><span class="p">(</span><span class="n">anim</span><span class="p">(</span><span class="n">G2</span><span class="p">,</span> <span class="n">msg</span><span class="p">,</span> <span class="n">n_frames</span><span class="o">=</span><span class="mi">4</span><span class="p">)</span><span class="o">.</span><span class="n">to_html5_video</span><span class="p">())</span>
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vaVFGz4JUlSqTVv3jxatGjB66+/DsD//d//0b17d4488siYJ5MKjw2/JEkqddauXUunTp1o2LAhr7/+OscddxwTJ07k6aefNuwr6Rj4JUlSqTJhwgTS0tLo3r07ALfccgtvvfUWV111VcyTSUXDLT2SJKlUWLZsGR06dGDYsGEA1K9fn6ysLOrXrx/zZFLRsuGXJElJbevWrWRlZZGSksKwYcOoUKEC3bp149VXXzXsq1Sw4ZckSUlryZIltGzZkhkzZgBw1VVX0adPH2rVqhXvYFIxsuGXJElJZ8OGDfznP//h9NNPZ8aMGRxxxBE888wzTJgwwbCvUseGX5IkJZWXX36Zli1b8s477wDQvHlzunbtyiGHHBLzZFI8DPySJCkpfPvtt9x+++1kZWUBcOqpp5KZmckFF1wQ82RSvNzSI0mSSrQoihg6dCgpKSlkZWVRtmxZ7rnnHhYuXGjYl7DhlyRJJdgnn3xCmzZtmDhxIgDnnXcemZmZpKSkxDyZlDhs+CVJUomzefNmunfvTmpqKhMnTqRq1apkZmYyffp0w760Ext+SZJUorz++us0b96c+fPnA/DnP/+ZHj16cNRRR8U8mZSYbPglSVKJ8P3339O5c2fOOuss5s+fT82aNRk3bhxDhw417Es/w4ZfkiQlvOeee45WrVrxySefUKZMGTp27Mi9995LpUqV4h5NSngJ1fCHEI4JIeSEEL4IIWwIIXwcQugRQijwg3NDCNNCCNHP/CpflH8GSZJUeJYvX861117LVVddxSeffMLpp5/Oq6++Srdu3Qz7UgElTMMfQjgRmA0cAYwB3gHOBjoAV4YQzo2i6Ju9WLLLbs5v3q9BJUlSkYuiiP79+9O5c2e+/fZbDj74YO69915uvvlmDjwwYeKLVCIk0v9j+pAX9ttHUdRr28kQQjegI/AA0Kqgi0VR9J/CHlCSJBW9pUuX0rJlS6ZNmwbAFVdcQXp6Oscff3y8g0klVEJs6QkhnABcDnwM9N7p8j3A98DfQwgVi3k0SZJUTDZu3Mj9999PvXr1mDZtGocffjhPP/00kyZNMuxL+yFRGv5L8o+Toyja+uMLURStCSHMIu8fBI2AlwqyYAjhL8DxwEZgCTAliqINhTeyJEkqLLNmzaJFixa8/fbbANx44408+uijVK9ePebJpJIvUQL/qfnHpbu5/h55gf8UChj4gWd2+vqrEELbKIpGFOTFIYT5u7lUu4DfX5Ik7cGqVav45z//Sd++fQE4+eSTycjI4OKLL455Mil5JMSWHqBq/nH1bq5vO1+tAGuNAX4NHAMcTF5Afyj/tUNDCFftx5ySJKkQRFHEyJEjSU1NpW/fvpQtW5Z///vfLFq0yLAvFbJEafj3JOQfoz3dGEVR951OvQvcGUL4AugFPAhMKsA6DXY5SF7zX39Pr5ckSbv26aef0rZtW8aNGwdA48aNyczMJC0tLebJpOSUKA3/tga/6m6uV9npvn3Rj7xHcp4eQqi8H+tIkqR9sGXLFnr27Elqairjxo2jSpUqpKenM2PGDMO+VIQSpeF/N/94ym6un5x/3N0e/z2Komh9CGENcAhQEVizr2tJkqS9s3DhQpo3b87cuXMBaNKkCT179qRGjRoxTyYlv0Rp+KfmHy8PIewwU34bfy6wDnhlX79BCOFU8sL+GuDrfV1HkiQV3A8//MAdd9xBgwYNmDt3LscccwxjxoxhxIgRhn2pmCRE4I+i6ANgMlALaLvT5S7kNfIDoij6ftvJEELtEMIOT8wJIZwQQjh65/VDCIcB/fO/fCaKIj9tV5KkIjZ58mTq1KlD165d2bp1K+3bt+ftt9/mN7/5TdyjSaVKomzpAWgDzAZ6hhAuJe/Z+Q2Bi8nbynPXTvcvyT+GH527AOgXQpgOfACsBI4Fribv/QHzgNuK6g8gSZJgxYoVdOrUiUGDBgFQr149srKyOPvss2OeTCqdEibwR1H0QQjhTOBe4EryQvqXQE+gSxRFKwuwzHxgENAAOJ28N/uuAd4EhgEZURRtLILxJUkq9aIoYsCAAXTq1ImVK1dSvnx5unTpQseOHSlbtmzc40mlVsIEfoAoij4FbijgvWEX594E/l8hjyVJkvbgvffeo1WrVkyZMgWAyy67jPT0dE488cSYJ5OUEHv4JUlSybRx40YefPBB6taty5QpUzjssMMYOHAgzz//vGFfShAGfkmStEtbt25l8ODBfPTRR7u8PmfOHBo0aMBdd93Fhg0buP7661myZAnXXXcdIfzkB/GSYmLglyRJu9SzZ0+uu+46Lr/8ctatW7f9/OrVq2nbti3nnnsuixcv5qSTTuLFF18kNzeXww47LMaJJe2KgV+SJP3EF198wd133w3A+++/zwMPPADA6NGjSU1NpU+fPhxwwAHceeedLFq0iEsvvTTOcSX9jIR6064kSUoMnTt3Zs2a/30ofdeuXZkzZ872N+U2atSIzMxM6tatG9eIkgrIhl+SJO1g6tSpDBkyZIdzmzdvZsqUKVSqVInevXszc+ZMw75UQtjwS5Kk7TZu3Ejbtjt/6P3/3HnnnbRp06YYJ5K0v2z4JUnSdj169GDJkiW7vf7www/z+eefF+NEkvaXgV+SJAHw6aefcs899/zsPd999x0dO3YspokkFQYDvyRJAuDqq69m/fr1e7zv1VdfLYZpJBUW9/BLkiQgr+HfpnLlytSoUYOjjjqKGjVq7PD7c889N8YpJe0tA78kSQLgww8/5JNPPuGkk06icuXKcY8jqZAY+CVJEgDVq1enevXqcY8hqZC5h1+SJElKYgZ+SZIkKYm5pUeSpBJsw7oNTBs6m5cGz+Db5auofEglLvjjOVz2jwuoWLVi3ONJSgAGfkmSSqjP3vuSu65+gC8+WL7D+TdnLGHwAyO5f9wdnHrWSTFNJylRuKVHkqQS6Ic16/jnFff9JOxvs+qr1fzzqgdY8dk3xTyZpERj4JckqQSa/NQ0ln284mfvWbNyLc/2mlRME0lKVAZ+SZJKoBcHTi/QfS8MmFa0g0hKeAZ+SZJKoBWfrSzQfd8uX82WzVuKeBpJiczAL0lSCVSxysEFuq/cwQdR5gD/cy+VZv4NIElSCXRUvcMKdN+5vz+bEEIRTyMpkRn4JUkqQVauXMn1119Pt2EPsyX6+a06IQR+3/7qYppMUqIy8EuSVAJEUcSIESNISUlhwIABUH4rDa6vzYEH7fojdUIItHuyKbXPPrmYJ5WUaPzgLUmSEtyXX35J27ZtGT16NAAXXHABWVlZnHLKKbzf4SNGdBvH9OFz2LxxM2XKBBpe04AmHa/htAvTYp5cUiIw8EuSlKCiKCI3N5dOnTqxatUqKleuzCOPPEKLFi0oUybvh/QnnXE8dwxsT6esVqxd9T0VqlSgfIVyMU8uKZEY+CVJSkAfffQRLVq04MUXXwTg6quvpm/fvtSsWXOX9x9U/iCq/+Kg4hxRUgnhHn5JkhLIli1b6NmzJ3Xq1OHFF1/k0EMPZdCgQYwfP363YV+Sfo4NvyRJCeLtt9+mWbNmzJkzB4C//vWvPPHEExxxxBExTyapJLPhlyQpZps2beL+++/njDPOYM6cOdSoUYMxY8YwZMgQw76k/WbDL0lSjObPn8+NN97IokWLAGjevDmPPPII1apVi3kyScnChl+SpBisW7eO22+/nbPPPptFixZxwgkn8NJLL5GZmWnYl1SobPglSSpmL7/8Ms2aNeO9996jTJkydOrUifvuu48KFSrEPZqkJGTglySpmHz33XfccccdpKenA5CWlkZ2djYNGzaMeTJJycwtPZIkFYOJEyeSlpZGeno6ZcuW5Z577mHBggWGfUlFzoZfkqQi9PXXX3PzzTczePBgAM466yyys7OpW7duzJNJKi1s+CVJKgJRFDF06FBSU1MZPHgwBx98MI8//jhz5swx7EsqVjb8kiQVsi+++ILWrVszduxYAC6++GKysrI48cQTY55MUmlkwy9JUiGJooh+/fqRmprK2LFjqVKlCpmZmbz00kuGfUmxseGXJKkQfPDBB7Ro0YIpU6YA8Otf/5r09HSOPvromCeTVNrZ8EuStB+2bNlCt27dqFu3LlOmTOGwww5jyJAhjBkzxrAvKSHY8EuStI8WL15M06ZNee211wD429/+Ro8ePTjssMNinkyS/seGX5KkvbRx40a6dOlC/fr1ee211zjmmGMYP348gwYNMuxLSjg2/JIk7YW5c+dy4403snjxYgBatWpF165dqVKlSsyTSdKu2fBLklQAP/zwA507d6ZRo0YsXryYk046iWnTppGenm7Yl5TQDPySJO3B1KlTqVu3Lo8//jgAt912G4sWLeLCCy+MeTJJ2jO39EiStBurV6/mtttuIzMzE4C6deuSk5PDmWeeGfNkklRwNvySJO3CuHHjSE1NJTMzk4MOOoj77ruPefPmGfYllTg2/JIk/ciKFSvo0KEDQ4YMAaBRo0ZkZ2eTmpoa82SStG9s+CVJAqIo4umnnyYlJYUhQ4ZQoUIFevTowcyZMw37kko0G35JUqn36aef0rp1ayZMmADAL3/5SzIzMzn++ONjnkyS9p8NvySp1Nq6dSsZGRmkpaUxYcIEqlatSnZ2NpMnTzbsS0oaNvySpFLpvffeo3nz5kyfPh2A3/3ud/Tu3ZsaNWrEPJkkFS4bfklSqbJ582Yee+wx6tWrx/Tp0zniiCMYNmwYo0aNMuxLSko2/JKkUmPRokU0bdqUefPmAfCPf/yDbt26ceihh8Y8mSQVHRt+SVLS27BhA3fffTcNGjRg3rx5HHvssUyaNImnnnrKsC8p6dnwS5KS2iuvvELTpk15++23AWjbti0PPfQQlStXjnkySSoeNvySpKT0/fff07FjRxo3bszbb7/NKaecwssvv8yTTz5p2JdUqhj4JUlJ56WXXqJu3br06NGDMmXKcMcdd7Bw4ULOP//8uEeTpGLnlh5JUtJYtWoVnTt3Jjs7G4DTTz+d7Oxs6tevH/NkkhQfG35JUlJ49tlnSU1NJTs7m3LlyvHggw/y2muvGfYllXo2/JKkEm358uW0a9eO4cOHA9C4cWOys7OpXbt2zJNJUmKw4ZcklUhRFDFw4EBSU1MZPnw4FStWpFevXsyYMcOwL0k/YsMvSSpx/vvf/9KqVSsmTZoEwBVXXEFGRgbHHXdczJNJUuKx4ZcklRhbt26lT58+pKWlMWnSJA455BByc3OZNGmSYV+SdsOGX5JUIrz77rs0a9aMmTNnAvDHP/6RXr168Ytf/CLmySQpsdnwS5IS2ubNm3n44Yc57bTTmDlzJkceeSQjR45k+PDhhn1JKgAbfklSwnrjjTdo2rQpCxYsAOCGG27g8ccf55BDDol5MkkqOWz4JUkJZ/369dx1112ceeaZLFiwgFq1avH888+Tk5Nj2JekvWTDL0lKKLNmzaJZs2a88847hBBo3749DzzwAJUqVYp7NEkqkQz8kqSEsHbtWu68806efPJJoiiidu3aZGdn07hx47hHk6QSzS09kqTYTZ48mTp16tCrVy8OOOAA7rrrLl5//XXDviQVAht+SVJsVq5cyS233EJubi4A9evXJzs7m9NPPz3ewSQpidjwS5JiMWrUKFJTU8nNzaV8+fJ07dqVV1991bAvSYUsYQJ/COGYEEJOCOGLEMKGEMLHIYQeIYS9ehxDCKF6/us+zl/ni/x1jymq2SVJBbds2TL++Mc/0qRJE5YvX87555/PwoULue222zjwQH/wLEmFLSECfwjhRGA+cAPwGtAd+BDoAMwJIRxawHUOBebkv+6D/HVey193fgjhhMKfXpJUEFEUkZubS0pKCiNHjqRSpUr07t2badOmccopp8Q9niQlrUSpUvoARwDtoyjqte1kCKEb0BF4AGhVgHUeBE4BukdR1OlH67QHnsj/PlcW4tySpAL4+OOPadGiBS+88AIAV111FX379uXYY4+NeTJJSn6xN/z5rfvlwMdA750u3wN8D/w9hFBxD+tUBP6ef/89O11+Mn/9K2z5Jan4bN26lV69elGnTh1eeOEFDj30UAYOHMiECRMM+5JUTGIP/MAl+cfJURRt/fGFKIrWALOACkCjPaxzDnAwMCv/dT9eZyswOf/Li/d7YknSHi1ZsoRXTjQsAAAgAElEQVTzzz+f9u3b8/333/OXv/yFt99+m+uuu44QQtzjSVKpkQhbek7NPy7dzfX3yPsJwCnAS/u5Dvnr7FEIYf5uLtUuyOslqbTatGkTjz76KF26dGHjxo0cddRRpKen89vf/jbu0SSpVEqEwF81/7h6N9e3na9WTOtIkvbRggULuPHGG1m4cCEAzZo149FHH6VaNf/qlaS4JELg35NtP/eNinOdKIoa7HKRvOa//n7OIklJZd26dXTp0oXHHnuMLVu2cPzxx5OVlcWll14a92iSVOolQuDf1rxX3c31KjvdV9TrSJL2wowZM2jWrBlLly6lTJkydOrUiXvvvZeKFX/2WQuSpGKSCIH/3fzj7vbWn5x/3N3e/MJeR5JUAGvWrOGOO+6gT58+AKSmppKTk0PDhg1jnkyS9GOJ8JSeqfnHy0MIO8wTQqgMnAusA17Zwzqv5N93bv7rfrxOGfLe+Pvj7ydJ2keTJk0iLS2NPn36cOCBB3LPPfewYMECw74kJaDYA38URR+Q98jMWkDbnS53ASoCA6Io+n7byRBC7RDCDk/LiaJoLTAw//7/7LTOTfnrPx9F0YeFOL4klSrffPMN//jHP7j66qv59NNPOfPMM1mwYAH/+c9/KFeuXNzjSZJ2IRG29AC0AWYDPUMIlwJLgIbkPTN/KXDXTvcvyT/u/CDnO4GLgE4hhNOB14AU4LfAV/z0HxSSpAKIoojhw4dz0003sWLFCsqXL8/9999Phw4dOPDARPlPiSRpV2Jv+GF7y38mkEte0L8FOBHoCZwTRdE3BVznG/I+gKsncFL+Og2B/kCD/O8jSdoLX3zxBX/4wx/4y1/+wooVK7jooot48803ueWWWwz7klQCJMzf1FEUfQrcUMB7d/sRjVEUrQQ65P+SJO2jKIrIycnhlltuYfXq1VSpUoVHH32UZs2aUaZMQvRFkqQCSJjAL0lKHB9++CHNmzdnypQpAFxzzTWkp6dzzDHHxDyZJGlvWdFIkrbbsmULPXr0oG7dukyZMoXDDjuMp59+mrFjxxr2JamEsuGXJAHw1ltv0bRpU1599VUArr32Wnr06MHhhx8e82SSpP1hwy9JpdzGjRu57777OOOMM3j11Vc5+uijGTt2LIMHDzbsS1ISsOGXpFJs7ty5NG3alDfffBOAli1b0rVrV6pWrRrzZJKkwmLDL0ml0A8//MCtt95Ko0aNePPNNznxxBOZOnUqffv2NexLUpIx8EtSKTNt2jROO+00HnvsMQA6d+7MokWLuOiii+IdTJJUJNzSI0mlxOrVq7n99tvJyMgAoG7dumRnZ3PWWWfFPJkkqSjZ8EtSKTB+/HjS0tLIyMigbNmydOnShXnz5hn2JakUsOGXpCS2YsUKOnTowJAhQwBo2LAh2dnZpKWlxTyZJKm42PBLUhKKooghQ4aQmprKkCFDqFChAt27d2fWrFmGfUkqZWz4JSnJfPbZZ7Ru3Zrx48cDcOmll5KZmckJJ5wQ82SSpDjY8EtSkti6dSuZmZmkpaUxfvx4qlatSr9+/XjhhRcM+5JUitnwS1ISeP/992nevDnTpk0D4Le//S19+vShRo0a8Q4mSYqdDb8klWCbN2/mscceo27dukybNo3DDz+coUOHMnr0aMO+JAmw4ZekEuvNN9+kadOmzJ07F4C///3vdO/enUMPPTTmySRJicSGX5JKmA0bNnDPPfdQv3595s6dS82aNZk4cSIDBgww7EuSfsKGX5JKkFdffZWmTZvy1ltvAdCmTRseeughqlSpEvNkkqREZcMvSSXA999/T6dOnTjnnHN46623OPnkk5k+fTq9e/c27EuSfpaBX5IS3EsvvUTdunXp3r07ZcqU4fbbb2fhwoVccMEFcY8mSSoB3NIjSQlq1apV3HrrrfTr1w+A0047jezsbBo0aBDzZJKkksSGX5IS0JgxY0hNTaVfv34cdNBBPPDAA8ydO9ewL0naazb8kpRAvvrqK9q3b8/QoUMBOOecc8jOziYlJSXmySRJJZUNvyQlgCiKGDRoECkpKQwdOpSKFSvSs2dPZsyYYdiXJO0XG35Jitl///tfWrVqxaRJkwC47LLLyMzMpFatWvEOJklKCjb8khSTrVu3kp6eTlpaGpMmTaJatWr079+f559/3rAvSSo0NvySFIOlS5fSrFkzZsyYAcAf/vAHevfuzS9+8YuYJ5MkJRsbfkkqRps3b+aRRx7htNNOY8aMGRx55JGMGDGCkSNHGvYlSUXChl+SisnChQu58cYbWbBgAQDXX3893bp1o3r16jFPJklKZjb8klTE1q9fz7/+9S/OPPNMFixYwHHHHcdzzz1Hbm6uYV+SVORs+CWpCM2ePZumTZvyzjvvEEKgXbt2PPjgg1SqVCnu0SRJpYQNvyTtoy1bttCkSRN+85vfsGnTph2urV27lg4dOnDeeefxzjvvcOqppzJjxgx69uxp2JckFSsDvyTto379+jFq1CjGjRvHI488sv385MmTqVOnDj179qRMmTLceeedvPHGG5x77rkxTitJKq3c0iNJ+2DlypXcdddd27++9957ufTSS8nIyCA3NxeAM844g5ycHE4//fSYppQkycAvSfvk7rvv5ptvvtn+9caNG7ngggvYtGkT5cqVo0uXLnTq1ImyZcvGOKUkSQZ+SdprixYtIj09/SfnN23axAknnMDEiRM59dRTY5hMkqSfcg+/JO2FKIpo164dW7du3eX1ZcuWUa5cuWKeSpKk3TPwS9JeGDZsGC+//PJur//www+0aNGCKIqKcSpJknbPwC9JBbRmzRpatWq1x/teeOEFpk2bVvQDSZJUAO7hl6QCat++PatWrdrt9TJlylCjRg1SU1OpXbt2MU4mSdLuGfglqYCuueYaJkyYwIknnkjDhg2pWbMmNWvW5JhjjqFmzZocddRRHHigf61KkhKL/2WSpAJq0qQJTZo0iXsMSZL2inv4JUmSpCRm4JckSZKSmIFfUqmxZcsWtmzeEvcYkiQVK/fwS0pqW7ZsYdozsxnb5zmWvPIeURRRK60mv2pxGVc1u4RyB/shWZKk5Gbgl5S0Nm/azP1/7c6s0a/tcP7jtz6ld4ccXhw0nYef/zeVqlWMaUJJkoqeW3okJa2n7h76k7D/Y+/O/YDHmvYpxokkSSp+Bn5JSWnd9+sZm/78Hu+bNfo1Pn//y2KYSJKkeBj4JSWlBS8s4ofv1hXo3hkjXiniaSRJio+BX1JSWvPt90VyryRJJY2BX1JSOuTIqgW+t/ovqhXhJJIkxcvALykpHVm7OhwU7fG+MgeU4cK/NC6GiSRJioeBX1JSiaKI/v37c3r901m6YdEe77/yhos5rEb1YphMkqR4GPglJY3PP/+ca665hhtvvJHVq1dT75raXNHsot3e3/i3Z9G2V9PiG1CSpBj4wVuSSrwoisjNzaVjx46sXr2aQw45hJ49e/K3v/2NEAJX/b9fMi79ed6a9Q5btmzlxNNq8asWl3H21WdQpoy9hyQpuRn4JZVon3/+OS1atGDixIkA/PrXvyYjI4Ojjjpq+z1pjU8lrfGpcY0oSVKsrLYklUjbWv20tDQmTpxItWrVGDBgAGPGjNkh7EuSVNrZ8EsqcXZu9a+55hoyMjKoUaNGzJNJkpR4bPgllRhRFPHUU0/9pNUfO3asYV+SpN2w4ZdUInz++ee0bNmSCRMmALb6kiQVlA2/pIS2rdWvU6cOEyZMoFq1ajz11FO2+pIkFZANv6SE9cUXX9CiRYvtrf6vfvUrMjMzDfqSJO0FG35JCefHe/UnTJhA1apVyc3NZdy4cYZ9SZL2kg2/pITyxRdf0LJlS8aPHw/ktfoZGRkcffTRMU8mSVLJZMMvKSFEUcSAAQNIS0tj/PjxO7T6hn1JkvadDb+k2O3c6l999dVkZmYa9CVJKgQ2/JJiE0URAwcO3KHV79+/P+PHjzfsS5JUSGz4JcXCVl+SpOJhwy+pWNnqS5JUvGz4JRWbL7/8kpYtWzJu3DgArrrqKrKysgz6kiQVIRt+SUVuW6ufmprKuHHjqFq1Kjk5OUyYMMGwL0lSEbPhl1SkvvzyS1q1asXYsWOBvFY/MzOTY445JubJJEkqHWz4JRWJKIoYNGgQaWlpjB07lipVqmxv9Q37kiQVHxt+SYVu51b/yiuvJCsry6AvSVIMEqbhDyE0DiFMDCGsDCH8EEJYFEK4OYRwwF6uE/3Mr1eKan5Jea3+4MGDd2j1s7OzmThxomFfkqSYJETDH0L4LTASWA8MBVYCvwa6A+cCf9rLJT8Bcndx/rN9n1LSz1m2bBktW7bcodXPzMykZs2aMU8mSVLpFnvgDyFUAbKALcBFURTNyz//b2AK8McQwl+jKHpmL5b9OIqi/xT6sJJ+Iooinn76adq1a8e3335LlSpV6N69OzfccAMhhLjHkySp1EuELT1/BA4HntkW9gGiKFoP/Cv/y9ZxDCbp5y1btozf//73XHfddXz77bdcccUVLF68mBtvvNGwL0lSgoi94QcuyT8+t4trLwM/AI1DCOWiKNpQwDWrhRBuBH4BrAbmR1Hk/n2pkERRxJAhQ2jXrh0rV66kSpUqdOvWzaAvSVICSoTAf2r+cenOF6Io2hxC+AhIA04AlhRwzdOA7B+fCCEsBP4eRdGb+zGrVOotW7aM1q1b8+yzzwJwxRVXkJWV5V59SZISVCIE/qr5x9W7ub7tfLUCrteNvDcALyXvTcC1gdvJ2zo0JYRwehRFn+9pkRDC/N1cql3AOaSkYqsvSVLJVCh7+EMIH+/hcZg7/xq0N8vnH6OC3BxF0S1RFM2OoujrKIrWRlE0L4qiP5H3j4DDgM57+ceTSr1ly5bxhz/8gb/97W+sXLmSyy+/nMWLF9O0aVPDviRJCa6wGv4PyGvTC+qLH/1+W4NfdVc3AlV2um9f9QWaABcU5OYoihrs6nx+819/P2eRSoQoinjmmWe46aabWLlyJZUrV6Zbt24GfUmSSpBCCfxRFF26Hy9/FzgTOAXYYRtNCOFA4HhgM/DhfnwPgBX5x4r7uY5UKixfvpzWrVszevRoAC6//HKysrI49thjY55MkiTtjUR4LOeU/OOVu7h2AVABmL0XT+jZnUb5x/39h4OU1Lbt1U9NTWX06NFUrlyZrKwsnnvuOcO+JEklUCIE/hHA18BfQwhnbjsZQigP3J//ZfqPXxBCqBBCqB1COHan8/VDCD9p8EMI9YAH8r/cm/cPSKXK8uXLadKkCddeey0rV67ksssuY/HixTRr1swtPJIklVCxP6UniqLvQgjNyQv+00IIzwArgd+Q98jOEcDQnV52NjAVmA5c9KPz7YE/hBCmAJ8CG8h7qs6VwAHkfaLvkCL7w0glVBRFDB06lJtuuolvvvmGypUr8/jjjxv0JUlKArEHfoAoip4NIVwI3EXeG2vLA+8DnYCeURQV6Ak9wLPkvcm3Hnkf6FUe+AaYBGRFUTS2sGeXSrrly5fTpk0bRo0aBcBll11Gv3793L4jSVKSSIjADxBF0Szg6gLeO43/Pa7zx+efJS/0S9qDKIoYNmwYbdu2tdWXJCmJJUzgl1R8dm71f/nLX5KdnW2rL0lSEkqEN+1KKibb9uqnpaUxatQoKlWqREZGBpMnTzbsS5KUpGz4pVLiq6++ok2bNowcORLIa/X79evHcccdF/NkkiSpKNnwS6XAsGHDSE1NZeTIkVSqVIm+ffsyefJkw74kSaWADb+UxL766ivatm3LiBEjAFt9SZJKIxt+KUkNGzaMtLQ0RowYYasvSVIpZsMvJZmdW/1LL72Ufv36UatWrXgHkyRJsbDhl5LI8OHDf9Lqv/DCC4Z9SZJKMRt+KQmsWLGCNm3a2OpLkqSfsOGXSrjhw4eTmpq6vdVPT0+31ZckSdvZ8Esl1IoVK2jbti3Dhw8H4JJLLiE7O9ugL0mSdmDDL5VA21r94cOHU7FiRfr06WOrL0mSdsmGXypBVqxYwU033cSwYcMAW31JkrRnNvxSCTFixAjS0tIYNmyYrb4kSSowG34pwe3c6l988cVkZ2dz/PHHxzyZJEkqCWz4pQQ2cuTIHVr93r178+KLLxr2JUlSgdnwSwno66+/pm3btttb/YsuuoicnByDviRJ2ms2/FKCGTlyJKmpqTu0+i+99JJhX5Ik7RMbfilBfP3119x0000MHToUsNWXJEmFw4ZfSgCjRo0iLS2NoUOHUrFiRZ588klbfUmSVChs+KUYff3117Rr145nnnkGyGv1s7OzOeGEE2KeTJIkJQsbfikm21r9Z555hgoVKmxv9Q37kiSpMNnwS8Vs51b/wgsvJCcnx6AvSZKKhA2/VIxGjx69Q6vfq1cvpkyZYtiXJElFxoZfKgbffPMN7dq1Y8iQIUBeq5+dnc2JJ54Y82SSJCnZ2fBLRWz06NGkpqYyZMiQHVp9w74kSSoONvxSEdm51b/gggvIyckx6EuSpGJlwy8VgWeffZa0tLTtrX7Pnj2ZOnWqYV+SJBU7G36pEH3zzTe0b9+ep59+GrDVlyRJ8bPhlwrJmDFjSEtL4+mnn7bVlyRJCcOGX9pPO7f6559/Pv379zfoS5KkhGDDL+2HH7f6Bx98ME888QTTpk0z7EuSpIRhwy/tg5UrV9K+fXsGDx4M5LX6OTk5nHTSSTFPJkmStCMbfmkvjRkzhtTUVAYPHszBBx9Mjx49mDZtmmFfkiQlJBt+qYBWrlxJhw4dGDRoEADnnXce/fv3N+hLkqSEZsMvFcDYsWNJS0tj0KBB21v96dOnG/YlSVLCs+GXfsauWv2cnBxOPvnkmCeTJEkqGBt+aTfGjRu3Q6vfvXt3pk+fbtiXJEklig2/tJOdW/1zzz2X/v37G/QlSVKJZMMv/ci4ceOoU6eOrb4kSUoaNvwS8O2339KhQwcGDhwI2OpLkqTkYcOvUm/bXv2BAwdSvnx5unXrZqsvSZKShg2/Sq1vv/2Wm2++mQEDBgDQuHFj+vfvzymnnBLzZJIkSYXHhl+l0vjx40lLS2PAgAHbW/2XX37ZsC9JkpKODb9KFVt9SZJU2tjwq9SYMGECderU2d7qP/7447b6kiQp6dnwK+nt3Oqfc8459O/fn1NPPTXmySRJkoqeDb+S2s6t/mOPPcaMGTMM+5IkqdSw4VdSWrVqFTfffDNPPfUUYKsvSZJKLxt+JZ2JEyeSlpbGU089ZasvSZJKPRt+JY1Vq1bRsWNHcnNzAVt9SZIksOFXktjW6ufm5lKuXDkeffRRW31JkiRs+FXC7dzqN2rUiP79+1O7du14B5MkSUoQNvwqsSZNmkSdOnV2aPVnzpxp2JckSfoRG36VOKtWraJTp070798fsNWXJEn6OTb8KlG2tfr9+/enXLlyPPLII7b6kiRJP8OGXyXCzq1+w4YNyc3NNehLkiTtgQ2/Et6uWv1Zs2YZ9iVJkgrAhl8Ja/Xq1XTq1ImcnBwgr9Xv378/KSkpMU8mSZJUctjwKyE999xz1KlTh5ycHMqVK0fXrl2ZOXOmYV+SJGkv2fAroezc6p999tnk5uYa9CVJkvaRDb8SxvPPP/+TVn/WrFmGfUmSpP1g4FexWL9+Pc2bNycjI+Mn11avXk2zZs248sor+eyzzzj77LNZsGABt912Gwce6A+hJEmS9oeBX8Wie/fu9OvXjzZt2jBnzpzt57e1+tnZ2Rx00EE8/PDDzJo1i9TU1BinlSRJSh4GfhW5L7/8kgcffBCArVu3csMNN7Bs2TKaN2++vdU/66yzeP3117n99ttt9SVJkgqRyUpF7l//+hdr167d/vW7777LySefzNq1aznooIPo0qULnTt3NuhLkiQVAROWitSCBQu2fzruj61du5aUlBSGDx9OWlpaDJNJkiSVDm7pUZGJooibb76ZKIp2eX3Lli2ccMIJxTyVJElS6WLgV5EZOXIkM2bM2O31pUuXcvfddxfjRJIkSaWPgV9FYv369dx00017vK9bt258+OGHxTCRJElS6eQefhWJVq1asXz58p+954ADDqBevXpUrVq1mKaSJEkqfQz8KhKVKlUCoFq1atSrV4/jjz+eWrVqUatWre2/P/roo30yjyRJUhEzbalIPPnkkzz55JNxjyFJklTquYdfkiRJSmIGfkmSJCmJGfglSZKkJBZ74A8hlA0hdAgh9A8hvBFC2BhCiEIIzfZjzcYhhIkhhJUhhB9CCItCCDeHEA4ozNmTURRtIlr/HFu/u4+tq+8h+n4g0dbv4h5LkiRJ+ygR3rRbEeiR//vlwDKg5r4uFkL4LTASWA8MBVYCvwa6A+cCf9qfYZNZtPE1olW3wNb/PU4zAljzKFTuCBX+HyGE2OaTJEnS3ou94Qd+AK4GakRR9AsgZ18XCiFUAbKALcBFURQ1jaLoVuB0YA7wxxDCXwth5qQTbVxItLLpDmH/f9YTrXkIfniq2OeSJEnS/ok98EdRtDGKoklRFH1ZCMv9ETgceCaKonk/+h7rgX/lf9m6EL5P0onWPAJs2MM93Ym2rimegSRJklQoYg/8heyS/ONzu7j2Mnk/TWgcQihXfCMlvmjzB7BpbgHuXAfrxxb5PJIkSSo8ibCHvzCdmn9cuvOFKIo2hxA+AtKAE4AlP7dQCGH+bi7V3q8JE9Hm9wt8a7T5PdzFL0mSVHIkW8NfNf+4ejfXt52vVgyzlCBli+heSZIkxa1QGv4QwsfAcXvxksFRFF1XGN97L20rp6M93RhFUYNdLpDX/NcvzKFid9Dp5AX5TXu8NRx0dpGPI0mSpMJTWFt6PiDvMZgF9UUhfd+dbWvwq+7mepWd7hMQylQnKn/Vnvfnl6kB5S4unqEkSZJUK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<h3 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h3><p>Visualize how a rumour would spread in the university dorm network. You can initialize the message on any node of your choice.</p>

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<div class="prompt input_prompt">In&nbsp;[25]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">msg</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">G</span><span class="p">))</span>
<span class="n">msg</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
<span class="n">HTML</span><span class="p">(</span><span class="n">anim</span><span class="p">(</span><span class="n">G</span><span class="p">,</span> <span class="n">msg</span><span class="p">,</span> <span class="n">n_frames</span><span class="o">=</span><span class="mi">4</span><span class="p">)</span><span class="o">.</span><span class="n">to_html5_video</span><span class="p">())</span>
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<div class="prompt output_prompt">Out[25]:</div>


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<h1 id="Bipartite-Graph-Matrices">Bipartite Graph Matrices<a class="anchor-link" href="#Bipartite-Graph-Matrices">&#182;</a></h1><p>The section on message passing above assumed unipartite graphs, or at least graphs for which messages can be meaningfully passed between nodes.</p>
<p>In this section, we will look at bipartite graphs.</p>
<p>Recall from before the definition of a bipartite graph:</p>
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<li>Nodes are separated into two partitions (hence 'bi'-'partite').</li>
<li>Edges can only occur between nodes of different partitions.</li>
</ul>
<p>Bipartite graphs have a natural matrix representation, known as the <strong>biadjacency matrix</strong>. Nodes on one partition are the rows, and nodes on the other partition are the columns.</p>
<p>NetworkX's <code>bipartite</code> module provides a function for computing the biadjacency matrix of a bipartite graph.</p>

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<p>Let's start by looking at a toy bipartite graph, a "customer-product" purchase record graph, with 4 products and 3 customers. The matrix representation might be as follows:</p>

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<div class="prompt input_prompt">In&nbsp;[26]:</div>
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<span class="c1"># Rows = customers, columns = products, 1 = customer purchased product, 0 = customer did not purchase product.</span>
<span class="n">cp_mat</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="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
                   <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</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="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">]])</span>
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<p>From this "bi-adjacency" matrix, one can compute the projection onto the customers, matrix multiplying the matrix with its transpose.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">c_mat</span> <span class="o">=</span> <span class="n">cp_mat</span> <span class="o">@</span> <span class="n">cp_mat</span><span class="o">.</span><span class="n">T</span>  <span class="c1"># c_mat means &quot;customer matrix&quot;</span>
<span class="n">c_mat</span>
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<pre>array([[1, 0, 1],
       [0, 2, 2],
       [1, 2, 4]])</pre>
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<p><strong>Pause here and read carefully!</strong></p>
<p>What we get is the connectivity matrix of the customers, based on shared purchases. The diagonals are the degree of the customers in the original graph, i.e. the number of purchases they originally made, and the off-diagonals are the connectivity matrix, based on shared products.</p>

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<p>To get the products matrix, we make the transposed matrix the left side of the matrix multiplication.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">p_mat</span> <span class="o">=</span> <span class="n">cp_mat</span><span class="o">.</span><span class="n">T</span> <span class="o">@</span> <span class="n">cp_mat</span>  <span class="c1"># p_mat means &quot;product matrix&quot;</span>
<span class="n">p_mat</span>
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<pre>array([[2, 1, 2, 1],
       [1, 2, 1, 1],
       [2, 1, 2, 1],
       [1, 1, 1, 1]])</pre>
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<p>You may now try to convince yourself that the diagonals are the number of times a customer purchased that product, and the off-diagonals are the connectivity matrix of the products, weighted by how similar two customers are.</p>

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<h2 id="Exercises">Exercises<a class="anchor-link" href="#Exercises">&#182;</a></h2><p>In the following exercises, you will now play with a customer-product graph from Amazon. This dataset was downloaded from <a href="http://jmcauley.ucsd.edu/data/amazon/">UCSD's Julian McAuley's website</a>, and corresponds to the digital music dataset.</p>
<p>This is a bipartite graph. The two partitions are:</p>
<ul>
<li><code>customers</code>: The customers that were doing the reviews.</li>
<li><code>products</code>: The music that was being reviewed.</li>
</ul>
<p>In the original dataset (see the original JSON in the <code>datasets/</code> directory), they are referred to as:</p>
<ul>
<li><code>customers</code>: <code>reviewerID</code></li>
<li><code>products</code>: <code>asin</code></li>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">G_amzn</span> <span class="o">=</span> <span class="n">load_amazon_reviews</span><span class="p">()</span>
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<pre>100%|██████████| 64706/64706 [00:01&lt;00:00, 49229.60it/s]
100%|██████████| 64706/64706 [00:00&lt;00:00, 411628.63it/s]
100%|██████████| 64706/64706 [00:00&lt;00:00, 344852.23it/s]
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<p>NetworkX provides <a href="https://networkx.github.io/documentation/stable/reference/algorithms/generated/networkx.algorithms.bipartite.matrix.biadjacency_matrix.html#networkx.algorithms.bipartite.matrix.biadjacency_matrix"><code>nx.bipartite.matrix.biadjacency_matrix()</code></a> function that lets you get the biadjacency matrix of a graph object. This returns a <code>scipy.sparse</code> matrix. Sparse matrices are commonly used to represent graphs, especially large ones, as they take up much less memory.</p>

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<h3 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h3><p>Read the <a href="https://networkx.github.io/documentation/stable/reference/algorithms/generated/networkx.algorithms.bipartite.matrix.biadjacency_matrix.html#networkx.algorithms.bipartite.matrix.biadjacency_matrix">docs</a> on how to use the <code>biadjacency_matrix()</code> function.</p>
<p>You probably would want to first define a function that gets all nodes from a partition.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">get_partition_nodes</span><span class="p">(</span><span class="n">G</span><span class="p">,</span> <span class="n">partition</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    A function that returns nodes from one partition.</span>
<span class="sd">    </span>
<span class="sd">    Assumes that the attribute key that stores the partition information</span>
<span class="sd">    is &#39;bipartite&#39;.</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="k">return</span> <span class="p">[</span><span class="n">n</span> <span class="k">for</span> <span class="n">n</span><span class="p">,</span> <span class="n">d</span> <span class="ow">in</span> <span class="n">G</span><span class="o">.</span><span class="n">nodes</span><span class="p">(</span><span class="n">data</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span> <span class="k">if</span> <span class="n">d</span><span class="p">[</span><span class="s1">&#39;bipartite&#39;</span><span class="p">]</span> <span class="o">==</span> <span class="n">partition</span><span class="p">]</span>
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<h3 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h3><p>Now, use the <code>get_partition_nodes()</code> function to get the <code>row_order</code> and <code>column_order</code> nodes from the Amazon music review graph, then get the biadjacency matrix.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">customer_nodes</span> <span class="o">=</span> <span class="n">get_partition_nodes</span><span class="p">(</span><span class="n">G_amzn</span><span class="p">,</span> <span class="s1">&#39;customer&#39;</span><span class="p">)</span>
<span class="n">mat</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">bipartite</span><span class="o">.</span><span class="n">biadjacency_matrix</span><span class="p">(</span><span class="n">G_amzn</span><span class="p">,</span> <span class="n">customer_nodes</span><span class="p">)</span>
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<h3 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h3><p>Let's find out which customers reviewed the most number of music items.</p>
<p>To do so, you can break the problem into a few steps.</p>
<p>First off, compute the customer projection using matrix operations.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">customer_mat</span> <span class="o">=</span> <span class="n">mat</span> <span class="o">@</span> <span class="n">mat</span><span class="o">.</span><span class="n">T</span>
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<p>Next, get the diagonals of the customer-customer matrix. Recall here that in <code>customer_mat</code>, the diagonals correspond to the degree of the customer nodes in the bipartite matrix.</p>
<p><strong>Hint:</strong> SciPy sparse matrices provide a <code>.diagonal()</code> method that returns the diagonal elements.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Get the diagonal.</span>
<span class="n">degrees</span> <span class="o">=</span> <span class="n">customer_mat</span><span class="o">.</span><span class="n">diagonal</span><span class="p">()</span>
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<p>Finally, find the index of the customer that has the highest degree.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">cust_idx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">degrees</span><span class="p">)</span>
<span class="n">cust_idx</span>
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<pre>294</pre>
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<p>It should be customer 294 in the <code>customer_nodes</code> list.</p>
<h3 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h3><p>Verify that this holds when looking at the degrees of each customer in <code>customer_nodes</code>.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">cust_degrees</span> <span class="o">=</span> <span class="p">[</span><span class="n">G_amzn</span><span class="o">.</span><span class="n">degree</span><span class="p">(</span><span class="n">n</span><span class="p">)</span> <span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="n">customer_nodes</span><span class="p">]</span>
<span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">cust_degrees</span><span class="p">)</span>
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<pre>294</pre>
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<h3 id="Exercise">Exercise<a class="anchor-link" href="#Exercise">&#182;</a></h3><p>Let's now also compute which two customers are similar, based on shared reviews. To do so involves the following steps:</p>
<ol>
<li>We construct a sparse matrix consisting of only the diagonals. <code>scipy.sparse.diags(elements)</code> will construct a sparse diagonal matrix based on the elements inside <code>elements</code>.</li>
<li>Subtract the diagonals from the customer matrix projection. This yields the customer-customer similarity matrix, which should only consist of the off-diagonal elements of the customer matrix projection.</li>
<li>Finally, get the indices where the weight (shared number of between the customers is highest. (<em>This code is provided for you.</em>)</li>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">scipy.sparse</span> <span class="k">as</span> <span class="nn">sp</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Construct diagonal elements.</span>
<span class="n">customer_diags</span> <span class="o">=</span> <span class="n">sp</span><span class="o">.</span><span class="n">diags</span><span class="p">(</span><span class="n">degrees</span><span class="p">)</span>
<span class="c1"># Subtract off-diagonals.</span>
<span class="n">off_diagonals</span> <span class="o">=</span> <span class="n">customer_mat</span> <span class="o">-</span> <span class="n">customer_diags</span>
<span class="c1"># Compute index of most similar individuals.</span>
<span class="n">np</span><span class="o">.</span><span class="n">unravel_index</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">off_diagonals</span><span class="p">),</span> <span class="n">customer_mat</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span>
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<pre>(294, 86)</pre>
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<h1 id="Performance:-Object-vs.-Matrices">Performance: Object vs. Matrices<a class="anchor-link" href="#Performance:-Object-vs.-Matrices">&#182;</a></h1><p>Finally, to motivate why you might want to use matrices rather than graph objects to compute some of these statistics, let's time the two ways of getting to the same answer.</p>

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<h2 id="Objects">Objects<a class="anchor-link" href="#Objects">&#182;</a></h2>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">time</span> <span class="k">import</span> <span class="n">time</span>

<span class="n">start</span> <span class="o">=</span> <span class="n">time</span><span class="p">()</span>

<span class="c1"># Compute the projection</span>
<span class="n">G_cust</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">bipartite</span><span class="o">.</span><span class="n">weighted_projected_graph</span><span class="p">(</span><span class="n">G_amzn</span><span class="p">,</span> <span class="n">customer_nodes</span><span class="p">)</span>

<span class="c1"># Identify the most similar customers</span>
<span class="n">most_similar_customers</span> <span class="o">=</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">G_cust</span><span class="o">.</span><span class="n">edges</span><span class="p">(</span><span class="n">data</span><span class="o">=</span><span class="kc">True</span><span class="p">),</span> <span class="n">key</span><span class="o">=</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="p">[</span><span class="mi">2</span><span class="p">][</span><span class="s1">&#39;weight&#39;</span><span class="p">],</span> <span class="n">reverse</span><span class="o">=</span><span class="kc">True</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span>

<span class="n">end</span> <span class="o">=</span> <span class="n">time</span><span class="p">()</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;{end - start:.3f} seconds&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;Most similar customers: </span><span class="si">{most_similar_customers}</span><span class="s1">&#39;</span><span class="p">)</span>
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<pre>21.726 seconds
Most similar customers: (&#39;A3HU0B9XUEVHIM&#39;, &#39;A9Q28YTLYREO7&#39;, {&#39;weight&#39;: 154})
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<h2 id="Matrices">Matrices<a class="anchor-link" href="#Matrices">&#182;</a></h2>
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<span class="c1"># Compute the projection using matrices</span>
<span class="n">mat</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">bipartite</span><span class="o">.</span><span class="n">matrix</span><span class="o">.</span><span class="n">biadjacency_matrix</span><span class="p">(</span><span class="n">G_amzn</span><span class="p">,</span> <span class="n">customer_nodes</span><span class="p">)</span>
<span class="n">cust_mat</span> <span class="o">=</span> <span class="n">mat</span> <span class="o">@</span> <span class="n">mat</span><span class="o">.</span><span class="n">T</span>

<span class="c1"># Identify the most similar customers</span>
<span class="n">degrees</span> <span class="o">=</span> <span class="n">customer_mat</span><span class="o">.</span><span class="n">diagonal</span><span class="p">()</span>
<span class="n">customer_diags</span> <span class="o">=</span> <span class="n">sp</span><span class="o">.</span><span class="n">diags</span><span class="p">(</span><span class="n">degrees</span><span class="p">)</span>
<span class="n">off_diagonals</span> <span class="o">=</span> <span class="n">customer_mat</span> <span class="o">-</span> <span class="n">customer_diags</span>
<span class="n">c1</span><span class="p">,</span> <span class="n">c2</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">unravel_index</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">off_diagonals</span><span class="p">),</span> <span class="n">customer_mat</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span>

<span class="n">end</span> <span class="o">=</span> <span class="n">time</span><span class="p">()</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;{end - start:.3f} seconds&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">f</span><span class="s1">&#39;Most similar customers: </span><span class="si">{customer_nodes[c1]}</span><span class="s1">, </span><span class="si">{customer_nodes[c2]}</span><span class="s1">, </span><span class="si">{cust_mat[c1, c2]}</span><span class="s1">&#39;</span><span class="p">)</span>
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<pre>0.861 seconds
Most similar customers: A9Q28YTLYREO7, A3HU0B9XUEVHIM, 154
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<p>You may notice that it's much easier to read the "objects" code, but the matrix code way outperforms the object code. This then becomes a great reason to use matrices (even better, sparse matrices)!</p>

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