5.4.1_MomentumwithPolynomialFunctions.html

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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 4.7.0 by @davegandy - http://fontawesome.io - @fontawesome
 *  License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
 */
/* FONT PATH
 * -------------------------- */
@font-face {
  font-family: 'FontAwesome';
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.7.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.7.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.7.0') format('woff2'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.7.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.7.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.7.0#fontawesomeregular') format('svg');
  font-weight: normal;
  font-style: normal;
}
.fa {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
  font-size: 1.33333333em;
  line-height: 0.75em;
  vertical-align: -15%;
}
.fa-2x {
  font-size: 2em;
}
.fa-3x {
  font-size: 3em;
}
.fa-4x {
  font-size: 4em;
}
.fa-5x {
  font-size: 5em;
}
.fa-fw {
  width: 1.28571429em;
  text-align: center;
}
.fa-ul {
  padding-left: 0;
  margin-left: 2.14285714em;
  list-style-type: none;
}
.fa-ul > li {
  position: relative;
}
.fa-li {
  position: absolute;
  left: -2.14285714em;
  width: 2.14285714em;
  top: 0.14285714em;
  text-align: center;
}
.fa-li.fa-lg {
  left: -1.85714286em;
}
.fa-border {
  padding: .2em .25em .15em;
  border: solid 0.08em #eee;
  border-radius: .1em;
}
.fa-pull-left {
  float: left;
}
.fa-pull-right {
  float: right;
}
.fa.fa-pull-left {
  margin-right: .3em;
}
.fa.fa-pull-right {
  margin-left: .3em;
}
/* Deprecated as of 4.4.0 */
.pull-right {
  float: right;
}
.pull-left {
  float: left;
}
.fa.pull-left {
  margin-right: .3em;
}
.fa.pull-right {
  margin-left: .3em;
}
.fa-spin {
  -webkit-animation: fa-spin 2s infinite linear;
  animation: fa-spin 2s infinite linear;
}
.fa-pulse {
  -webkit-animation: fa-spin 1s infinite steps(8);
  animation: fa-spin 1s infinite steps(8);
}
@-webkit-keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
@keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
.fa-rotate-90 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1)";
  -webkit-transform: scale(-1, 1);
  -ms-transform: scale(-1, 1);
  transform: scale(-1, 1);
}
.fa-flip-vertical {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)";
  -webkit-transform: scale(1, -1);
  -ms-transform: scale(1, -1);
  transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
  filter: none;
}
.fa-stack {
  position: relative;
  display: inline-block;
  width: 2em;
  height: 2em;
  line-height: 2em;
  vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
  position: absolute;
  left: 0;
  width: 100%;
  text-align: center;
}
.fa-stack-1x {
  line-height: inherit;
}
.fa-stack-2x {
  font-size: 2em;
}
.fa-inverse {
  color: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook-f:before,
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-feed:before,
.fa-rss:before {
  content: "\f09e";
}
.fa-hdd-o:before {
  content: "\f0a0";
}
.fa-bullhorn:before {
  content: "\f0a1";
}
.fa-bell:before {
  content: "\f0f3";
}
.fa-certificate:before {
  content: "\f0a3";
}
.fa-hand-o-right:before {
  content: "\f0a4";
}
.fa-hand-o-left:before {
  content: "\f0a5";
}
.fa-hand-o-up:before {
  content: "\f0a6";
}
.fa-hand-o-down:before {
  content: "\f0a7";
}
.fa-arrow-circle-left:before {
  content: "\f0a8";
}
.fa-arrow-circle-right:before {
  content: "\f0a9";
}
.fa-arrow-circle-up:before {
  content: "\f0aa";
}
.fa-arrow-circle-down:before {
  content: "\f0ab";
}
.fa-globe:before {
  content: "\f0ac";
}
.fa-wrench:before {
  content: "\f0ad";
}
.fa-tasks:before {
  content: "\f0ae";
}
.fa-filter:before {
  content: "\f0b0";
}
.fa-briefcase:before {
  content: "\f0b1";
}
.fa-arrows-alt:before {
  content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
  content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
  content: "\f0c1";
}
.fa-cloud:before {
  content: "\f0c2";
}
.fa-flask:before {
  content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
  content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
  content: "\f0c5";
}
.fa-paperclip:before {
  content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
  content: "\f0c7";
}
.fa-square:before {
  content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
  content: "\f0c9";
}
.fa-list-ul:before {
  content: "\f0ca";
}
.fa-list-ol:before {
  content: "\f0cb";
}
.fa-strikethrough:before {
  content: "\f0cc";
}
.fa-underline:before {
  content: "\f0cd";
}
.fa-table:before {
  content: "\f0ce";
}
.fa-magic:before {
  content: "\f0d0";
}
.fa-truck:before {
  content: "\f0d1";
}
.fa-pinterest:before {
  content: "\f0d2";
}
.fa-pinterest-square:before {
  content: "\f0d3";
}
.fa-google-plus-square:before {
  content: "\f0d4";
}
.fa-google-plus:before {
  content: "\f0d5";
}
.fa-money:before {
  content: "\f0d6";
}
.fa-caret-down:before {
  content: "\f0d7";
}
.fa-caret-up:before {
  content: "\f0d8";
}
.fa-caret-left:before {
  content: "\f0d9";
}
.fa-caret-right:before {
  content: "\f0da";
}
.fa-columns:before {
  content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
  content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
  content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
  content: "\f0de";
}
.fa-envelope:before {
  content: "\f0e0";
}
.fa-linkedin:before {
  content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
  content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
  content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
  content: "\f0e4";
}
.fa-comment-o:before {
  content: "\f0e5";
}
.fa-comments-o:before {
  content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
  content: "\f0e7";
}
.fa-sitemap:before {
  content: "\f0e8";
}
.fa-umbrella:before {
  content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
  content: "\f0ea";
}
.fa-lightbulb-o:before {
  content: "\f0eb";
}
.fa-exchange:before {
  content: "\f0ec";
}
.fa-cloud-download:before {
  content: "\f0ed";
}
.fa-cloud-upload:before {
  content: "\f0ee";
}
.fa-user-md:before {
  content: "\f0f0";
}
.fa-stethoscope:before {
  content: "\f0f1";
}
.fa-suitcase:before {
  content: "\f0f2";
}
.fa-bell-o:before {
  content: "\f0a2";
}
.fa-coffee:before {
  content: "\f0f4";
}
.fa-cutlery:before {
  content: "\f0f5";
}
.fa-file-text-o:before {
  content: "\f0f6";
}
.fa-building-o:before {
  content: "\f0f7";
}
.fa-hospital-o:before {
  content: "\f0f8";
}
.fa-ambulance:before {
  content: "\f0f9";
}
.fa-medkit:before {
  content: "\f0fa";
}
.fa-fighter-jet:before {
  content: "\f0fb";
}
.fa-beer:before {
  content: "\f0fc";
}
.fa-h-square:before {
  content: "\f0fd";
}
.fa-plus-square:before {
  content: "\f0fe";
}
.fa-angle-double-left:before {
  content: "\f100";
}
.fa-angle-double-right:before {
  content: "\f101";
}
.fa-angle-double-up:before {
  content: "\f102";
}
.fa-angle-double-down:before {
  content: "\f103";
}
.fa-angle-left:before {
  content: "\f104";
}
.fa-angle-right:before {
  content: "\f105";
}
.fa-angle-up:before {
  content: "\f106";
}
.fa-angle-down:before {
  content: "\f107";
}
.fa-desktop:before {
  content: "\f108";
}
.fa-laptop:before {
  content: "\f109";
}
.fa-tablet:before {
  content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
  content: "\f10b";
}
.fa-circle-o:before {
  content: "\f10c";
}
.fa-quote-left:before {
  content: "\f10d";
}
.fa-quote-right:before {
  content: "\f10e";
}
.fa-spinner:before {
  content: "\f110";
}
.fa-circle:before {
  content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
  content: "\f112";
}
.fa-github-alt:before {
  content: "\f113";
}
.fa-folder-o:before {
  content: "\f114";
}
.fa-folder-open-o:before {
  content: "\f115";
}
.fa-smile-o:before {
  content: "\f118";
}
.fa-frown-o:before {
  content: "\f119";
}
.fa-meh-o:before {
  content: "\f11a";
}
.fa-gamepad:before {
  content: "\f11b";
}
.fa-keyboard-o:before {
  content: "\f11c";
}
.fa-flag-o:before {
  content: "\f11d";
}
.fa-flag-checkered:before {
  content: "\f11e";
}
.fa-terminal:before {
  content: "\f120";
}
.fa-code:before {
  content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
  content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
  content: "\f123";
}
.fa-location-arrow:before {
  content: "\f124";
}
.fa-crop:before {
  content: "\f125";
}
.fa-code-fork:before {
  content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
  content: "\f127";
}
.fa-question:before {
  content: "\f128";
}
.fa-info:before {
  content: "\f129";
}
.fa-exclamation:before {
  content: "\f12a";
}
.fa-superscript:before {
  content: "\f12b";
}
.fa-subscript:before {
  content: "\f12c";
}
.fa-eraser:before {
  content: "\f12d";
}
.fa-puzzle-piece:before {
  content: "\f12e";
}
.fa-microphone:before {
  content: "\f130";
}
.fa-microphone-slash:before {
  content: "\f131";
}
.fa-shield:before {
  content: "\f132";
}
.fa-calendar-o:before {
  content: "\f133";
}
.fa-fire-extinguisher:before {
  content: "\f134";
}
.fa-rocket:before {
  content: "\f135";
}
.fa-maxcdn:before {
  content: "\f136";
}
.fa-chevron-circle-left:before {
  content: "\f137";
}
.fa-chevron-circle-right:before {
  content: "\f138";
}
.fa-chevron-circle-up:before {
  content: "\f139";
}
.fa-chevron-circle-down:before {
  content: "\f13a";
}
.fa-html5:before {
  content: "\f13b";
}
.fa-css3:before {
  content: "\f13c";
}
.fa-anchor:before {
  content: "\f13d";
}
.fa-unlock-alt:before {
  content: "\f13e";
}
.fa-bullseye:before {
  content: "\f140";
}
.fa-ellipsis-h:before {
  content: "\f141";
}
.fa-ellipsis-v:before {
  content: "\f142";
}
.fa-rss-square:before {
  content: "\f143";
}
.fa-play-circle:before {
  content: "\f144";
}
.fa-ticket:before {
  content: "\f145";
}
.fa-minus-square:before {
  content: "\f146";
}
.fa-minus-square-o:before {
  content: "\f147";
}
.fa-level-up:before {
  content: "\f148";
}
.fa-level-down:before {
  content: "\f149";
}
.fa-check-square:before {
  content: "\f14a";
}
.fa-pencil-square:before {
  content: "\f14b";
}
.fa-external-link-square:before {
  content: "\f14c";
}
.fa-share-square:before {
  content: "\f14d";
}
.fa-compass:before {
  content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
  content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
  content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
  content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
  content: "\f153";
}
.fa-gbp:before {
  content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
  content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
  content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
  content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
  content: "\f158";
}
.fa-won:before,
.fa-krw:before {
  content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
  content: "\f15a";
}
.fa-file:before {
  content: "\f15b";
}
.fa-file-text:before {
  content: "\f15c";
}
.fa-sort-alpha-asc:before {
  content: "\f15d";
}
.fa-sort-alpha-desc:before {
  content: "\f15e";
}
.fa-sort-amount-asc:before {
  content: "\f160";
}
.fa-sort-amount-desc:before {
  content: "\f161";
}
.fa-sort-numeric-asc:before {
  content: "\f162";
}
.fa-sort-numeric-desc:before {
  content: "\f163";
}
.fa-thumbs-up:before {
  content: "\f164";
}
.fa-thumbs-down:before {
  content: "\f165";
}
.fa-youtube-square:before {
  content: "\f166";
}
.fa-youtube:before {
  content: "\f167";
}
.fa-xing:before {
  content: "\f168";
}
.fa-xing-square:before {
  content: "\f169";
}
.fa-youtube-play:before {
  content: "\f16a";
}
.fa-dropbox:before {
  content: "\f16b";
}
.fa-stack-overflow:before {
  content: "\f16c";
}
.fa-instagram:before {
  content: "\f16d";
}
.fa-flickr:before {
  content: "\f16e";
}
.fa-adn:before {
  content: "\f170";
}
.fa-bitbucket:before {
  content: "\f171";
}
.fa-bitbucket-square:before {
  content: "\f172";
}
.fa-tumblr:before {
  content: "\f173";
}
.fa-tumblr-square:before {
  content: "\f174";
}
.fa-long-arrow-down:before {
  content: "\f175";
}
.fa-long-arrow-up:before {
  content: "\f176";
}
.fa-long-arrow-left:before {
  content: "\f177";
}
.fa-long-arrow-right:before {
  content: "\f178";
}
.fa-apple:before {
  content: "\f179";
}
.fa-windows:before {
  content: "\f17a";
}
.fa-android:before {
  content: "\f17b";
}
.fa-linux:before {
  content: "\f17c";
}
.fa-dribbble:before {
  content: "\f17d";
}
.fa-skype:before {
  content: "\f17e";
}
.fa-foursquare:before {
  content: "\f180";
}
.fa-trello:before {
  content: "\f181";
}
.fa-female:before {
  content: "\f182";
}
.fa-male:before {
  content: "\f183";
}
.fa-gittip:before,
.fa-gratipay:before {
  content: "\f184";
}
.fa-sun-o:before {
  content: "\f185";
}
.fa-moon-o:before {
  content: "\f186";
}
.fa-archive:before {
  content: "\f187";
}
.fa-bug:before {
  content: "\f188";
}
.fa-vk:before {
  content: "\f189";
}
.fa-weibo:before {
  content: "\f18a";
}
.fa-renren:before {
  content: "\f18b";
}
.fa-pagelines:before {
  content: "\f18c";
}
.fa-stack-exchange:before {
  content: "\f18d";
}
.fa-arrow-circle-o-right:before {
  content: "\f18e";
}
.fa-arrow-circle-o-left:before {
  content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
  content: "\f191";
}
.fa-dot-circle-o:before {
  content: "\f192";
}
.fa-wheelchair:before {
  content: "\f193";
}
.fa-vimeo-square:before {
  content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
  content: "\f195";
}
.fa-plus-square-o:before {
  content: "\f196";
}
.fa-space-shuttle:before {
  content: "\f197";
}
.fa-slack:before {
  content: "\f198";
}
.fa-envelope-square:before {
  content: "\f199";
}
.fa-wordpress:before {
  content: "\f19a";
}
.fa-openid:before {
  content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
  content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
  content: "\f19d";
}
.fa-yahoo:before {
  content: "\f19e";
}
.fa-google:before {
  content: "\f1a0";
}
.fa-reddit:before {
  content: "\f1a1";
}
.fa-reddit-square:before {
  content: "\f1a2";
}
.fa-stumbleupon-circle:before {
  content: "\f1a3";
}
.fa-stumbleupon:before {
  content: "\f1a4";
}
.fa-delicious:before {
  content: "\f1a5";
}
.fa-digg:before {
  content: "\f1a6";
}
.fa-pied-piper-pp:before {
  content: "\f1a7";
}
.fa-pied-piper-alt:before {
  content: "\f1a8";
}
.fa-drupal:before {
  content: "\f1a9";
}
.fa-joomla:before {
  content: "\f1aa";
}
.fa-language:before {
  content: "\f1ab";
}
.fa-fax:before {
  content: "\f1ac";
}
.fa-building:before {
  content: "\f1ad";
}
.fa-child:before {
  content: "\f1ae";
}
.fa-paw:before {
  content: "\f1b0";
}
.fa-spoon:before {
  content: "\f1b1";
}
.fa-cube:before {
  content: "\f1b2";
}
.fa-cubes:before {
  content: "\f1b3";
}
.fa-behance:before {
  content: "\f1b4";
}
.fa-behance-square:before {
  content: "\f1b5";
}
.fa-steam:before {
  content: "\f1b6";
}
.fa-steam-square:before {
  content: "\f1b7";
}
.fa-recycle:before {
  content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
  content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
  content: "\f1ba";
}
.fa-tree:before {
  content: "\f1bb";
}
.fa-spotify:before {
  content: "\f1bc";
}
.fa-deviantart:before {
  content: "\f1bd";
}
.fa-soundcloud:before {
  content: "\f1be";
}
.fa-database:before {
  content: "\f1c0";
}
.fa-file-pdf-o:before {
  content: "\f1c1";
}
.fa-file-word-o:before {
  content: "\f1c2";
}
.fa-file-excel-o:before {
  content: "\f1c3";
}
.fa-file-powerpoint-o:before {
  content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
  content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
  content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
  content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
  content: "\f1c8";
}
.fa-file-code-o:before {
  content: "\f1c9";
}
.fa-vine:before {
  content: "\f1ca";
}
.fa-codepen:before {
  content: "\f1cb";
}
.fa-jsfiddle:before {
  content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
  content: "\f1cd";
}
.fa-circle-o-notch:before {
  content: "\f1ce";
}
.fa-ra:before,
.fa-resistance:before,
.fa-rebel:before {
  content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
  content: "\f1d1";
}
.fa-git-square:before {
  content: "\f1d2";
}
.fa-git:before {
  content: "\f1d3";
}
.fa-y-combinator-square:before,
.fa-yc-square:before,
.fa-hacker-news:before {
  content: "\f1d4";
}
.fa-tencent-weibo:before {
  content: "\f1d5";
}
.fa-qq:before {
  content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
  content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
  content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
  content: "\f1d9";
}
.fa-history:before {
  content: "\f1da";
}
.fa-circle-thin:before {
  content: "\f1db";
}
.fa-header:before {
  content: "\f1dc";
}
.fa-paragraph:before {
  content: "\f1dd";
}
.fa-sliders:before {
  content: "\f1de";
}
.fa-share-alt:before {
  content: "\f1e0";
}
.fa-share-alt-square:before {
  content: "\f1e1";
}
.fa-bomb:before {
  content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
  content: "\f1e3";
}
.fa-tty:before {
  content: "\f1e4";
}
.fa-binoculars:before {
  content: "\f1e5";
}
.fa-plug:before {
  content: "\f1e6";
}
.fa-slideshare:before {
  content: "\f1e7";
}
.fa-twitch:before {
  content: "\f1e8";
}
.fa-yelp:before {
  content: "\f1e9";
}
.fa-newspaper-o:before {
  content: "\f1ea";
}
.fa-wifi:before {
  content: "\f1eb";
}
.fa-calculator:before {
  content: "\f1ec";
}
.fa-paypal:before {
  content: "\f1ed";
}
.fa-google-wallet:before {
  content: "\f1ee";
}
.fa-cc-visa:before {
  content: "\f1f0";
}
.fa-cc-mastercard:before {
  content: "\f1f1";
}
.fa-cc-discover:before {
  content: "\f1f2";
}
.fa-cc-amex:before {
  content: "\f1f3";
}
.fa-cc-paypal:before {
  content: "\f1f4";
}
.fa-cc-stripe:before {
  content: "\f1f5";
}
.fa-bell-slash:before {
  content: "\f1f6";
}
.fa-bell-slash-o:before {
  content: "\f1f7";
}
.fa-trash:before {
  content: "\f1f8";
}
.fa-copyright:before {
  content: "\f1f9";
}
.fa-at:before {
  content: "\f1fa";
}
.fa-eyedropper:before {
  content: "\f1fb";
}
.fa-paint-brush:before {
  content: "\f1fc";
}
.fa-birthday-cake:before {
  content: "\f1fd";
}
.fa-area-chart:before {
  content: "\f1fe";
}
.fa-pie-chart:before {
  content: "\f200";
}
.fa-line-chart:before {
  content: "\f201";
}
.fa-lastfm:before {
  content: "\f202";
}
.fa-lastfm-square:before {
  content: "\f203";
}
.fa-toggle-off:before {
  content: "\f204";
}
.fa-toggle-on:before {
  content: "\f205";
}
.fa-bicycle:before {
  content: "\f206";
}
.fa-bus:before {
  content: "\f207";
}
.fa-ioxhost:before {
  content: "\f208";
}
.fa-angellist:before {
  content: "\f209";
}
.fa-cc:before {
  content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
  content: "\f20b";
}
.fa-meanpath:before {
  content: "\f20c";
}
.fa-buysellads:before {
  content: "\f20d";
}
.fa-connectdevelop:before {
  content: "\f20e";
}
.fa-dashcube:before {
  content: "\f210";
}
.fa-forumbee:before {
  content: "\f211";
}
.fa-leanpub:before {
  content: "\f212";
}
.fa-sellsy:before {
  content: "\f213";
}
.fa-shirtsinbulk:before {
  content: "\f214";
}
.fa-simplybuilt:before {
  content: "\f215";
}
.fa-skyatlas:before {
  content: "\f216";
}
.fa-cart-plus:before {
  content: "\f217";
}
.fa-cart-arrow-down:before {
  content: "\f218";
}
.fa-diamond:before {
  content: "\f219";
}
.fa-ship:before {
  content: "\f21a";
}
.fa-user-secret:before {
  content: "\f21b";
}
.fa-motorcycle:before {
  content: "\f21c";
}
.fa-street-view:before {
  content: "\f21d";
}
.fa-heartbeat:before {
  content: "\f21e";
}
.fa-venus:before {
  content: "\f221";
}
.fa-mars:before {
  content: "\f222";
}
.fa-mercury:before {
  content: "\f223";
}
.fa-intersex:before,
.fa-transgender:before {
  content: "\f224";
}
.fa-transgender-alt:before {
  content: "\f225";
}
.fa-venus-double:before {
  content: "\f226";
}
.fa-mars-double:before {
  content: "\f227";
}
.fa-venus-mars:before {
  content: "\f228";
}
.fa-mars-stroke:before {
  content: "\f229";
}
.fa-mars-stroke-v:before {
  content: "\f22a";
}
.fa-mars-stroke-h:before {
  content: "\f22b";
}
.fa-neuter:before {
  content: "\f22c";
}
.fa-genderless:before {
  content: "\f22d";
}
.fa-facebook-official:before {
  content: "\f230";
}
.fa-pinterest-p:before {
  content: "\f231";
}
.fa-whatsapp:before {
  content: "\f232";
}
.fa-server:before {
  content: "\f233";
}
.fa-user-plus:before {
  content: "\f234";
}
.fa-user-times:before {
  content: "\f235";
}
.fa-hotel:before,
.fa-bed:before {
  content: "\f236";
}
.fa-viacoin:before {
  content: "\f237";
}
.fa-train:before {
  content: "\f238";
}
.fa-subway:before {
  content: "\f239";
}
.fa-medium:before {
  content: "\f23a";
}
.fa-yc:before,
.fa-y-combinator:before {
  content: "\f23b";
}
.fa-optin-monster:before {
  content: "\f23c";
}
.fa-opencart:before {
  content: "\f23d";
}
.fa-expeditedssl:before {
  content: "\f23e";
}
.fa-battery-4:before,
.fa-battery:before,
.fa-battery-full:before {
  content: "\f240";
}
.fa-battery-3:before,
.fa-battery-three-quarters:before {
  content: "\f241";
}
.fa-battery-2:before,
.fa-battery-half:before {
  content: "\f242";
}
.fa-battery-1:before,
.fa-battery-quarter:before {
  content: "\f243";
}
.fa-battery-0:before,
.fa-battery-empty:before {
  content: "\f244";
}
.fa-mouse-pointer:before {
  content: "\f245";
}
.fa-i-cursor:before {
  content: "\f246";
}
.fa-object-group:before {
  content: "\f247";
}
.fa-object-ungroup:before {
  content: "\f248";
}
.fa-sticky-note:before {
  content: "\f249";
}
.fa-sticky-note-o:before {
  content: "\f24a";
}
.fa-cc-jcb:before {
  content: "\f24b";
}
.fa-cc-diners-club:before {
  content: "\f24c";
}
.fa-clone:before {
  content: "\f24d";
}
.fa-balance-scale:before {
  content: "\f24e";
}
.fa-hourglass-o:before {
  content: "\f250";
}
.fa-hourglass-1:before,
.fa-hourglass-start:before {
  content: "\f251";
}
.fa-hourglass-2:before,
.fa-hourglass-half:before {
  content: "\f252";
}
.fa-hourglass-3:before,
.fa-hourglass-end:before {
  content: "\f253";
}
.fa-hourglass:before {
  content: "\f254";
}
.fa-hand-grab-o:before,
.fa-hand-rock-o:before {
  content: "\f255";
}
.fa-hand-stop-o:before,
.fa-hand-paper-o:before {
  content: "\f256";
}
.fa-hand-scissors-o:before {
  content: "\f257";
}
.fa-hand-lizard-o:before {
  content: "\f258";
}
.fa-hand-spock-o:before {
  content: "\f259";
}
.fa-hand-pointer-o:before {
  content: "\f25a";
}
.fa-hand-peace-o:before {
  content: "\f25b";
}
.fa-trademark:before {
  content: "\f25c";
}
.fa-registered:before {
  content: "\f25d";
}
.fa-creative-commons:before {
  content: "\f25e";
}
.fa-gg:before {
  content: "\f260";
}
.fa-gg-circle:before {
  content: "\f261";
}
.fa-tripadvisor:before {
  content: "\f262";
}
.fa-odnoklassniki:before {
  content: "\f263";
}
.fa-odnoklassniki-square:before {
  content: "\f264";
}
.fa-get-pocket:before {
  content: "\f265";
}
.fa-wikipedia-w:before {
  content: "\f266";
}
.fa-safari:before {
  content: "\f267";
}
.fa-chrome:before {
  content: "\f268";
}
.fa-firefox:before {
  content: "\f269";
}
.fa-opera:before {
  content: "\f26a";
}
.fa-internet-explorer:before {
  content: "\f26b";
}
.fa-tv:before,
.fa-television:before {
  content: "\f26c";
}
.fa-contao:before {
  content: "\f26d";
}
.fa-500px:before {
  content: "\f26e";
}
.fa-amazon:before {
  content: "\f270";
}
.fa-calendar-plus-o:before {
  content: "\f271";
}
.fa-calendar-minus-o:before {
  content: "\f272";
}
.fa-calendar-times-o:before {
  content: "\f273";
}
.fa-calendar-check-o:before {
  content: "\f274";
}
.fa-industry:before {
  content: "\f275";
}
.fa-map-pin:before {
  content: "\f276";
}
.fa-map-signs:before {
  content: "\f277";
}
.fa-map-o:before {
  content: "\f278";
}
.fa-map:before {
  content: "\f279";
}
.fa-commenting:before {
  content: "\f27a";
}
.fa-commenting-o:before {
  content: "\f27b";
}
.fa-houzz:before {
  content: "\f27c";
}
.fa-vimeo:before {
  content: "\f27d";
}
.fa-black-tie:before {
  content: "\f27e";
}
.fa-fonticons:before {
  content: "\f280";
}
.fa-reddit-alien:before {
  content: "\f281";
}
.fa-edge:before {
  content: "\f282";
}
.fa-credit-card-alt:before {
  content: "\f283";
}
.fa-codiepie:before {
  content: "\f284";
}
.fa-modx:before {
  content: "\f285";
}
.fa-fort-awesome:before {
  content: "\f286";
}
.fa-usb:before {
  content: "\f287";
}
.fa-product-hunt:before {
  content: "\f288";
}
.fa-mixcloud:before {
  content: "\f289";
}
.fa-scribd:before {
  content: "\f28a";
}
.fa-pause-circle:before {
  content: "\f28b";
}
.fa-pause-circle-o:before {
  content: "\f28c";
}
.fa-stop-circle:before {
  content: "\f28d";
}
.fa-stop-circle-o:before {
  content: "\f28e";
}
.fa-shopping-bag:before {
  content: "\f290";
}
.fa-shopping-basket:before {
  content: "\f291";
}
.fa-hashtag:before {
  content: "\f292";
}
.fa-bluetooth:before {
  content: "\f293";
}
.fa-bluetooth-b:before {
  content: "\f294";
}
.fa-percent:before {
  content: "\f295";
}
.fa-gitlab:before {
  content: "\f296";
}
.fa-wpbeginner:before {
  content: "\f297";
}
.fa-wpforms:before {
  content: "\f298";
}
.fa-envira:before {
  content: "\f299";
}
.fa-universal-access:before {
  content: "\f29a";
}
.fa-wheelchair-alt:before {
  content: "\f29b";
}
.fa-question-circle-o:before {
  content: "\f29c";
}
.fa-blind:before {
  content: "\f29d";
}
.fa-audio-description:before {
  content: "\f29e";
}
.fa-volume-control-phone:before {
  content: "\f2a0";
}
.fa-braille:before {
  content: "\f2a1";
}
.fa-assistive-listening-systems:before {
  content: "\f2a2";
}
.fa-asl-interpreting:before,
.fa-american-sign-language-interpreting:before {
  content: "\f2a3";
}
.fa-deafness:before,
.fa-hard-of-hearing:before,
.fa-deaf:before {
  content: "\f2a4";
}
.fa-glide:before {
  content: "\f2a5";
}
.fa-glide-g:before {
  content: "\f2a6";
}
.fa-signing:before,
.fa-sign-language:before {
  content: "\f2a7";
}
.fa-low-vision:before {
  content: "\f2a8";
}
.fa-viadeo:before {
  content: "\f2a9";
}
.fa-viadeo-square:before {
  content: "\f2aa";
}
.fa-snapchat:before {
  content: "\f2ab";
}
.fa-snapchat-ghost:before {
  content: "\f2ac";
}
.fa-snapchat-square:before {
  content: "\f2ad";
}
.fa-pied-piper:before {
  content: "\f2ae";
}
.fa-first-order:before {
  content: "\f2b0";
}
.fa-yoast:before {
  content: "\f2b1";
}
.fa-themeisle:before {
  content: "\f2b2";
}
.fa-google-plus-circle:before,
.fa-google-plus-official:before {
  content: "\f2b3";
}
.fa-fa:before,
.fa-font-awesome:before {
  content: "\f2b4";
}
.fa-handshake-o:before {
  content: "\f2b5";
}
.fa-envelope-open:before {
  content: "\f2b6";
}
.fa-envelope-open-o:before {
  content: "\f2b7";
}
.fa-linode:before {
  content: "\f2b8";
}
.fa-address-book:before {
  content: "\f2b9";
}
.fa-address-book-o:before {
  content: "\f2ba";
}
.fa-vcard:before,
.fa-address-card:before {
  content: "\f2bb";
}
.fa-vcard-o:before,
.fa-address-card-o:before {
  content: "\f2bc";
}
.fa-user-circle:before {
  content: "\f2bd";
}
.fa-user-circle-o:before {
  content: "\f2be";
}
.fa-user-o:before {
  content: "\f2c0";
}
.fa-id-badge:before {
  content: "\f2c1";
}
.fa-drivers-license:before,
.fa-id-card:before {
  content: "\f2c2";
}
.fa-drivers-license-o:before,
.fa-id-card-o:before {
  content: "\f2c3";
}
.fa-quora:before {
  content: "\f2c4";
}
.fa-free-code-camp:before {
  content: "\f2c5";
}
.fa-telegram:before {
  content: "\f2c6";
}
.fa-thermometer-4:before,
.fa-thermometer:before,
.fa-thermometer-full:before {
  content: "\f2c7";
}
.fa-thermometer-3:before,
.fa-thermometer-three-quarters:before {
  content: "\f2c8";
}
.fa-thermometer-2:before,
.fa-thermometer-half:before {
  content: "\f2c9";
}
.fa-thermometer-1:before,
.fa-thermometer-quarter:before {
  content: "\f2ca";
}
.fa-thermometer-0:before,
.fa-thermometer-empty:before {
  content: "\f2cb";
}
.fa-shower:before {
  content: "\f2cc";
}
.fa-bathtub:before,
.fa-s15:before,
.fa-bath:before {
  content: "\f2cd";
}
.fa-podcast:before {
  content: "\f2ce";
}
.fa-window-maximize:before {
  content: "\f2d0";
}
.fa-window-minimize:before {
  content: "\f2d1";
}
.fa-window-restore:before {
  content: "\f2d2";
}
.fa-times-rectangle:before,
.fa-window-close:before {
  content: "\f2d3";
}
.fa-times-rectangle-o:before,
.fa-window-close-o:before {
  content: "\f2d4";
}
.fa-bandcamp:before {
  content: "\f2d5";
}
.fa-grav:before {
  content: "\f2d6";
}
.fa-etsy:before {
  content: "\f2d7";
}
.fa-imdb:before {
  content: "\f2d8";
}
.fa-ravelry:before {
  content: "\f2d9";
}
.fa-eercast:before {
  content: "\f2da";
}
.fa-microchip:before {
  content: "\f2db";
}
.fa-snowflake-o:before {
  content: "\f2dc";
}
.fa-superpowers:before {
  content: "\f2dd";
}
.fa-wpexplorer:before {
  content: "\f2de";
}
.fa-meetup:before {
  content: "\f2e0";
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  padding: 0;
  margin: -1px;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
code {
  color: #000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

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

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

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

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

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<h1>Momentum</h1>
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<p><h2>Table of Contents</h2></p>
<p><p>In this lab, you will deal with several problems associated with optimization and see how momentum can improve your results.</p></p>
<ul>
    <li><a href="#Saddle">Saddle Points</a></li>
    <li><a href="#Minima">Local Minima</a></li>
    <li><a href="#Noise"> Noise </a></li>
</ul><p><p>Estimated Time Needed: <b>25 min</b></p></p>
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<h2>Preparation</h2>
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<p>Import the following libraries that you'll use for this lab:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># These are the libraries that will be used for this lab.</span>

<span class="kn">import</span> <span class="nn">torch</span> 
<span class="kn">import</span> <span class="nn">torch.nn</span> <span class="k">as</span> <span class="nn">nn</span>
<span class="kn">import</span> <span class="nn">matplotlib.pylab</span> <span class="k">as</span> <span class="nn">plt</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>

<span class="n">torch</span><span class="o">.</span><span class="n">manual_seed</span><span class="p">(</span><span class="mi">0</span><span class="p">)</span>
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<pre>&lt;torch._C.Generator at 0x7f30e409b390&gt;</pre>
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<p>This function will plot a cubic function and the parameter values obtained via Gradient Descent.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Plot the cubic</span>

<span class="k">def</span> <span class="nf">plot_cubic</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer</span><span class="p">):</span>
    <span class="n">LOSS</span> <span class="o">=</span> <span class="p">[]</span>
    <span class="c1"># parameter values </span>
    <span class="n">W</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="o">-</span><span class="mi">4</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">)</span>
    <span class="c1"># plot the loss fuction </span>
    <span class="k">for</span> <span class="n">w</span><span class="o">.</span><span class="n">state_dict</span><span class="p">()[</span><span class="s1">&#39;linear.weight&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="ow">in</span> <span class="n">W</span><span class="p">:</span>
        <span class="n">LOSS</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">cubic</span><span class="p">(</span><span class="n">w</span><span class="p">(</span><span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">]])))</span><span class="o">.</span><span class="n">item</span><span class="p">())</span>
    <span class="n">w</span><span class="o">.</span><span class="n">state_dict</span><span class="p">()[</span><span class="s1">&#39;linear.weight&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="mf">4.0</span>
    <span class="n">n_epochs</span> <span class="o">=</span> <span class="mi">10</span>
    <span class="n">parameter</span> <span class="o">=</span> <span class="p">[]</span>
    <span class="n">loss_list</span> <span class="o">=</span> <span class="p">[]</span>

    <span class="c1"># n_epochs</span>
    <span class="c1"># Use PyTorch custom module to implement a ploynomial function</span>
    <span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">n_epochs</span><span class="p">):</span>
        <span class="n">optimizer</span><span class="o">.</span><span class="n">zero_grad</span><span class="p">()</span> 
        <span class="n">loss</span> <span class="o">=</span> <span class="n">cubic</span><span class="p">(</span><span class="n">w</span><span class="p">(</span><span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">]])))</span>
        <span class="n">loss_list</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">loss</span><span class="p">)</span>
        <span class="n">parameter</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">state_dict</span><span class="p">()[</span><span class="s1">&#39;linear.weight&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">detach</span><span class="p">()</span><span class="o">.</span><span class="n">data</span><span class="o">.</span><span class="n">item</span><span class="p">())</span>
        <span class="n">loss</span><span class="o">.</span><span class="n">backward</span><span class="p">()</span>
        <span class="n">optimizer</span><span class="o">.</span><span class="n">step</span><span class="p">()</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">parameter</span><span class="p">,</span> <span class="n">loss_list</span><span class="p">,</span> <span class="s1">&#39;ro&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;parameter values&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">W</span><span class="o">.</span><span class="n">numpy</span><span class="p">(),</span> <span class="n">LOSS</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;objective function&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;w&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;l(w)&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">()</span>
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<p>This function will plot a 4th order function and the parameter values obtained via Gradient Descent. You can also add Gaussian noise with a standard deviation determined by the parameter <code>std</code>.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Plot the fourth order function and the parameter values</span>

<span class="k">def</span> <span class="nf">plot_fourth_order</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer</span><span class="p">,</span> <span class="n">std</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;r&#39;</span><span class="p">,</span> <span class="n">paramlabel</span><span class="o">=</span><span class="s1">&#39;parameter values&#39;</span><span class="p">,</span> <span class="n">objfun</span><span class="o">=</span><span class="kc">True</span><span class="p">):</span>
    <span class="n">W</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="o">-</span><span class="mi">4</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">)</span>
    <span class="n">LOSS</span> <span class="o">=</span> <span class="p">[]</span>
    <span class="k">for</span> <span class="n">w</span><span class="o">.</span><span class="n">state_dict</span><span class="p">()[</span><span class="s1">&#39;linear.weight&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="ow">in</span> <span class="n">W</span><span class="p">:</span>
        <span class="n">LOSS</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">fourth_order</span><span class="p">(</span><span class="n">w</span><span class="p">(</span><span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">]])))</span><span class="o">.</span><span class="n">item</span><span class="p">())</span>
    <span class="n">w</span><span class="o">.</span><span class="n">state_dict</span><span class="p">()[</span><span class="s1">&#39;linear.weight&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="mi">6</span>
    <span class="n">n_epochs</span> <span class="o">=</span> <span class="mi">100</span>
    <span class="n">parameter</span> <span class="o">=</span> <span class="p">[]</span>
    <span class="n">loss_list</span> <span class="o">=</span> <span class="p">[]</span>

    <span class="c1">#n_epochs</span>
    <span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">n_epochs</span><span class="p">):</span>
        <span class="n">optimizer</span><span class="o">.</span><span class="n">zero_grad</span><span class="p">()</span>
        <span class="n">loss</span> <span class="o">=</span> <span class="n">fourth_order</span><span class="p">(</span><span class="n">w</span><span class="p">(</span><span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">([[</span><span class="mf">1.0</span><span class="p">]])))</span> <span class="o">+</span> <span class="n">std</span> <span class="o">*</span> <span class="n">torch</span><span class="o">.</span><span class="n">randn</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
        <span class="n">loss_list</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">loss</span><span class="p">)</span>
        <span class="n">parameter</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">state_dict</span><span class="p">()[</span><span class="s1">&#39;linear.weight&#39;</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">detach</span><span class="p">()</span><span class="o">.</span><span class="n">data</span><span class="o">.</span><span class="n">item</span><span class="p">())</span>
        <span class="n">loss</span><span class="o">.</span><span class="n">backward</span><span class="p">()</span>
        <span class="n">optimizer</span><span class="o">.</span><span class="n">step</span><span class="p">()</span>
    
    <span class="c1"># Plotting</span>
    <span class="k">if</span> <span class="n">objfun</span><span class="p">:</span>
        <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">W</span><span class="o">.</span><span class="n">numpy</span><span class="p">(),</span> <span class="n">LOSS</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;objective function&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">parameter</span><span class="p">,</span> <span class="n">loss_list</span><span class="p">,</span> <span class="s1">&#39;ro&#39;</span><span class="p">,</span><span class="n">label</span><span class="o">=</span><span class="n">paramlabel</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="n">color</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;w&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;l(w)&#39;</span><span class="p">)</span>
    <span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">()</span>
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<p>This is a custom module. It will behave like a single parameter value. We do it this way so we can use PyTorch's build-in optimizers .</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Create a linear model</span>

<span class="k">class</span> <span class="nc">one_param</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span>
    
    <span class="c1"># Constructor</span>
    <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">input_size</span><span class="p">,</span> <span class="n">output_size</span><span class="p">):</span>
        <span class="nb">super</span><span class="p">(</span><span class="n">one_param</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span><span class="o">.</span><span class="fm">__init__</span><span class="p">()</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">linear</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">input_size</span><span class="p">,</span> <span class="n">output_size</span><span class="p">,</span> <span class="n">bias</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
        
    <span class="c1"># Prediction</span>
    <span class="k">def</span> <span class="nf">forward</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
        <span class="n">yhat</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">linear</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">yhat</span>
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<p>We create an object <code>w</code>, when we call the object with an input of one, it will behave like an individual parameter value. i.e <code>w(1)</code> is analogous to $w$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Create a one_param object</span>

<span class="n">w</span> <span class="o">=</span> <span class="n">one_param</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="nb">print</span><span class="p">(</span><span class="n">w</span><span class="p">)</span>
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<pre>one_param(
  (linear): Linear(in_features=1, out_features=1, bias=False)
)
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<h2 id="Saddle">Saddle Points</h2>
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<p>Let's create a cubic function with Saddle points</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Define a function to output a cubic </span>

<span class="k">def</span> <span class="nf">cubic</span><span class="p">(</span><span class="n">yhat</span><span class="p">):</span>
    <span class="n">out</span> <span class="o">=</span> <span class="n">yhat</span> <span class="o">**</span> <span class="mi">3</span>
    <span class="k">return</span> <span class="n">out</span>
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<p>We create an optimizer with no momentum term</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Create a optimizer without momentum</span>

<span class="n">optimizer</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">lr</span><span class="o">=</span><span class="mf">0.01</span><span class="p">,</span> <span class="n">momentum</span><span class="o">=</span><span class="mi">0</span><span class="p">)</span>
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<p>We run several iterations of stochastic gradient descent and plot the results. We see the parameter values get stuck in the saddle point.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Plot the model</span>

<span class="n">plot_cubic</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer</span><span class="p">)</span>
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+4p9DjGVAavL9vG3qMnef76MKr5eNZbs2PTjJcmT5xm/HyEh4ezcOHCYt0+1JypIv7ejdmacILBr63ghs5NmDKiY7kd1+OnGTdnGjhwIOHh4VYkjKlicnKUSfN+J8DPh4mDPfNDTpUYzK4IlixZ4nQEY4wD5q6JZ3XsEV7+Uwfq1azmdJx8VeoWRWXoVjNFZ79vU9EkpWTwwqLNdAuty/CuwU7HOadKWyj8/PxITEy0N48qQlVJTEzEz8+5GTaNKa6/f7mJ5PQsnr8+3COuwD6XStv1FBwcTHx8PIcOHXI6iiknfn5+BAd77qcyY/JaujmBBev28ecBrRy7IVFRVdpC4evrawPDxhjPM3Mmx595jklXTqRNdjr37T8KOHdToqKotIXCGGM8zsyZMG4cL/QZy8GadfnPRxOo9tFe1yDAqFFOpzunSjtGYYwxHmfSJH4OuohZna7mztXz6XhgG6SmwqRJTicrkBUKY4wpJyn7D/L4oIcITdrHIys/Ob0iLs65UEVgXU/GGFNO/jHkIfbUuYDZn0ykRlb66RUhIc6FKgLHWxQi4i0ia0XkK/fz5iKySkS2icgcEfHMK1CMMaYYvo85yMxWfbhr7Vf0iN90eoW/P0ye7FywInC8UAAPA5vzPH8J+JeqtgKOAHc4ksoYY0rJkZQMHpu7gTYX1GL8LZdBs2Yg4vo+bZpHD2SDw4VCRIKBa4D33M8FuByY695kBnC9M+mMMabkVJUnF2zkSGoGU0d2xO+WURAbCzk5ru8eXiTA+RbFq8CjQI77eX3gqKqeuitNPJDvncVFZJyIRIpIpF1UZ4zxVAvX7+N/G/bz5wGtaX9hbafjnBfHCoWIDAEOqmpU3sX5bJrvHByqOk1VI1Q1okGDBmWS0RhjSmJPUipPzt9Il5A63H1ZC6fjnDcnz3rqDQwVkcGAHxCIq4VRR0R83K2KYGCfgxmNMea8ZGbn8NDstaDw2o2d8fF2ugPn/DmWXFUnqmqwqoYCNwLLVHUU8D0w3L3ZGKDwW68ZY4yHmbpkK2vjjvLCn8JpWs/f6Tgl4okl7jFgvIhsxzVm8b7DeYwxplhWbDvEO8t3cGO3pgzpcKHTcUrMIy64U9UfgB/cj3cC3Z3MY4wx5+vQiXQembOeixoE8PS17Z2OUyo8olAYY0xlkJ2jPDJnHSfSMvn4zu7UqObtdKRSYYXCGGNKydQlMazcfpiX/hRO20aBTscpNZ44RmGMMRXOd9EJ/Pv7HYyMaMrIbp49d1NxWaEwxpgS2p2YwiOfriOsSSB/v65yjEvkZYXCGGNK4GRGNvd8vAYvEd4e1RU/38oxLpGXFQpjjCmumTMhNBT18uKxMc+xZf8xXr2xU4W/XuJcrFAYY0xxuG9nyu7dvNVjOAubdeOvP39C/8glTicrM1YojDGmOCZNgtRUvm3Vkyl9x3D9pu+5d8Usj7+daUlYoTDGmOKIi2Nzg1AeGfIXOu6L4cWvX3fNZurhtzMtCbuOwhhjiuFQq/bcefkjBKan8O4Xz+OXnela4eG3My0JKxTGGFNEKelZ3H7z8yQdz+LTmY/RMOWIa0UFuJ1pSVjXkzHGFEFWdg4PfLKGTWk+vNkyi3C/rAp1O9OSsBaFMcYUQlX524KNfB9ziMk3hHFFj2Zw70inY5Uba1EYY0wh3ly2nVm/7eGB/i0Z1aOZ03HKnRUKY4wpwEe/xPLPJVsZ1rkJf7mytdNxHGGFwhhjzmHe2nj+tmATA9o15KXhHRARpyM5wgqFMcbk49tNB5jw2QYuuag+b97cBd8KfM/rkqq6/3JjjMnLPX8TXl6s6DGIBz+OJLxJbd69NaJSTvRXHFYojDEmz/xNK0M6cOel42hxKI4PA3ZTs7qdHGqFwhhj3PM3/RjamTv+9BTNj+xj5icTqfP0E04n8whWKo0xJi6OH5p3YdywJ2mRtJdPZk+i3snjEHfC6WQewQqFMabKW9bjau7pfRctE+OYOftJ6qa5C0Qlnr+pOBzrehKRpiLyvYhsFpFNIvKwe3k9EVkiItvc3+s6ldEYU/nNX7uXcX3vpU1iHJ/MnnS6SFTy+ZuKw8kxiizgL6raDugJ3C8iFwOPA0tVtRWw1P3cGGNK3fSfdvHnOeuIaFGfT/rXp84F9avM/E3F4VjXk6ruB/a7H58Qkc1AE+A6oJ97sxnAD8BjDkQ0xlRSqsq/lmzl9WXbufLiC3j9ps74+faCW60w5McjxihEJBToDKwCLnAXEVR1v4g0PMdrxgHjAEKsH9EYU0SZ2Tn8bf5GZq/ew4iuwbwwLByfKnwxXVE4/tMRkQDgc+DPqnq8qK9T1WmqGqGqEQ0aNCi7gMaYis99Md2xGrUYe8dUZq/ew/39L+Ll4R2sSBSBoz8hEfHFVSRmquoX7sUJItLYvb4xcNCpfMaYSsB9Md2eo2kMH/USqxq0ZMqSf/PXw1FVdu6m4nLyrCcB3gc2q+rUPKsWAmPcj8cAC8o7mzGmEpk0id/qNeeGW14hIaA+/53zFCPWfO26yM4UiZNjFL2BW4DfRWSde9kTwIvApyJyBxAHjHAonzGmglNVZgR14Pn+d9D0WALvfv4cLZPiXSvj4pwNV4E4edbTSuBc7b4ryjOLMabyOZmRzaR5v/PFgLsZsG0VU7/6J4EZqac3sJNgiswjznoyxpjStPNQMg98spbNB44zvuFJHnhjKl55i4RdTFcsNtxvjKn48kwR/nm//2PIv35g37GTvD8mgofGD8dr2n9cF9HZxXTnxVoUxpiKzX1WU3KW8rfBjzAv7HK674nmtSua0LjtBa5tRo2ywlACViiMMRWb+6ymvw5+mD21L+CRFR/zwC+f4r2iKdx2s9PpKgUrFMaYCistM5spFw3kg4ihND2awOxZT9A9fpNrpZ3VVGpsjMIYUzHkGYcgNJTIabMZ/NoK3u92PaPXLuLr6Q+eLhJgZzWVImtRGGM836lblaamcsSvFi+1G8rsnbVo4nuCmc1T6f3GfyEz7fT2dlZTqbJCYYzxfJMmoampfB52Of/ofwfH/AIYt+pzHt7zEzW3x0BAlutK67g4V0ti8mQbvC5FViiMMZ5n5swz3vjXZPrx3OhXWNukLV3jo3l+8Vu0OxTrOt0V7KymMmaFwhjjWfJ0M8UHNuClDv/Hlxf3pUFyEi8vepXhvy/FC3Vta+MQ5cIKhTHGs0yaxCGq8fblN/Nx58F4aQ4P/fQJd/82j5oZJ09vZ+MQ5cYKhTHGWXm6mZJatuM/of3577AhZPj4MmzjMh5ZOZMLTxx2bdusmY1DOMAKhTHGOe5upn3e/nzQ73ZmdbyK1Gp+XBe9nId/mkXzI/tOb9usGcTGOha1KrNCYYwpP2cNUsf41mZav3EsuLgfKsLQ6OXc9+tntEqKB9XTr7NuJkdZoTDGlA936yEzLZ1v2/Tmo87XsCoknBoZaYxeu4g7V88j+Pih09tbN5PHsEJhjCkXu154lc+7DuPT8IEcrFWf4KMHePz76YzcsJi6aSfO3Ni6mTyKFQpjTJk5lprJoo37mRsVT9SQZ/DKyabvrjW8+M0b9N21Bm/N+eOLrJvJ41ihMMaUqqOpGSyOTmDR7/v5afthMrOVlg0DeHzdPG74aR4XJCed+YL69SEgwLqZPJgVCmNMiagqOw4ls2zLQZZtOUhk7BGycpTgujW4vXdzrunQmPAmtZEL4mHFrDNf7O8Pr71mhcHDFalQiEgvYDTQB2gMnAQ2Av8DPlbVY2WW0BjjcRKOp/HLjkR+2ZHITzsOE3/EdSFc20a1uOuyFlwd1shVHE5NsQGni4HNyVThiOY9BS2/DUS+BvYBC4BI4CDgB7QG+gPXAlNVdWHZRj23iIgIjYyMdOrwxlRq2TlKzIETrIk7wtq4o6yNO8LOwykABPr50LNFffq2aUD/Ng25sE4Nh9Oa4hCRKFWNKGy7orQoblHVw2ctSwbWuL/+KSJB55GxQCIyCHgN8AbeU9UXS/sYxpgzHU3NYPvBZGISTrBp33E27TtOzIHjpGW6Bp3r16xG55C63Ni9KZdcFES7xoF4e0khezUVXaGF4lSREJHbgRWquu1c25QWEfEG/g0MBOKB1SKyUFWjS/M4xlQ1OTnK4ZR09h9NIy4p1fWVmEpsYgo7DiVzODkjd9tAPx8uvjCQUT2aEdYkkC4hdQmp539md5KpEoozmB0KjBaRZkAUsAJX4VhXBrm6A9tVdSeAiMwGrgOsUBjjlpWdQ0pGNsnpWaSkZ3EiLYtjJzM4djKTY6mZJKVkcDglg8Mn0jmcnE7C8XQSjqeRlXNmd3NQQHVC6tXg8rYNadkwgFYNa9GyYQDBdWtYUTBAMQqFqj4FICI1gLuAvwKv4uoaKm1NgD15nscDPcrgOKYKUVVSM7I5djKT42mZpKRnkZyeTUp6FiczsknLyuZkRjbpWTmkZ+WQmZ1Dpvt7Vo6SnaNk5Sg5OUqOKjkKOaquCa8VFKWQIT/0rO3UnevUvnIUsnNyyMp2HS8zO4eMbCUjK5vMbCUtM5uTmdmkZ+aQkZ3PNQh5eAnUq1mN+jWrUz+gGj2a16NRbT8a1/bjgkA/Qur707SuPzWr28mPpmBF/h8iIk8CvYEAYC0wAVeroizk9zHmjD9BERkHjAMIsTnpq7Ss7Bz2H0vjwPE09h09yQH348PJGSQmuz5NJ6W4PmlnZhfyTp6Hr7dQzdsLH28vfL0Fby/Bx8sLEfD2ErxEEE7fO0fOen4ugpyxTe6+xLUPXy/Xsar5eBHg54OvtxfV3Bn8fL1zv2r4elOzujcB1X2oWd2HAD8f6tTwpY5/NerU8CWwhq+NH5hSUZyPEsOALFynxC4HflXVtIJfct7igaZ5ngfjOvMql6pOA6aB66ynMsphPISqcvBEOtsPJrMt4QTbDyWzO9HVx773yMk/dKfUrOZNUK3qBAVUp3lQTbo2q0vtGtWo4+9L7Rq+1PLzIaC6T+6brH817zxvwq43Zut2McalOF1PXUSkFnAprkHmd0UkQVUvLYNcq4FWItIc2AvcCNxcBscxHignR9l5OIUN8UeJdp95E73/OMdOZuZuU8vPh+ZBNQlvUpshHRrTtK4/F9apQePafjSq7UctP18H/wXGVC7F6XoKw3XBXV8gAtcYQpl0Palqlog8AHyLawzkA1XdVBbHMs5Lz8pmXdxRVu1Kyj1X/1RRqO7jRdvGgQwOb0zbRrVo1TCAlg0DaFCrun3iN6acFKfr6SVcXU6vA6tVNbOQ7UtEVRcBi8ryGMYZqsqmfcdZvvUQv+xIJHJ3EmmZOYhAq4YBXB3WiC4hdekUUocWQTXx8fZyOrIxVVpxup6uKcsgpnJLy8xmxbbDLN2cwPcxB0k4ng64pny4qXsIl1wURPfm9ahdw7qMjPE0hRYKEfkS16DxN2e3IkSkBXAbEKuqH5RJQlNhpWVm80PMIRb9vp+lmxNIycimVnUf+rQOon+bhvRr05AGtao7HdMYU4iitCjuAsYDr4pIEnAI11xPocAO4E1VXVBmCU2FoqpE7T7C3Kh4/rdhPyfSs6jr78vQThcyOLwxPVvUx9e6koypUIoyhccB4FHgUREJ5fTssVtVNbVM05kKIzE5nTmRe/h09R5iE1Pxr+bN1WGNuaFzE3q2qGfjDMZUYMW6JFNVY4HYMkliKhxVZU3cUT76JZZFvx8gIzuHHs3r8cDlrbg6rJFd8WtMJVGUMYoTnHVV9KlVgKpqYKmnMh4tJ0dZHH2Ad5bvZN2eowRU9+Gm7k25pVczWjas5XQ8Y0wpK0rXk/3lGwAysnL4Yk08037cyc7DKYTU8+fZ69ozrEswAdZ6MKbSsr9uU6is7By+WLOX15dtI/7IScKaBPLmzZ0Z1L6RjT0YUwVYoTDnlJOjLFy/j1e/20psYiodgmvz/PVh9G3dwK6KNqYKsUJh8rVqZyLP/S+ajXuP065xIO/eGsGAdg2tQBhTBVmhMGfYnZjCC4u28M2mAzSu7cerIzsxtOOFeNl01cZUWVYoDOC6ivqd5Tt464cd+HgJfxnYmjv7tKBGtbK4L5UxpiKxQmFYse0Qf5u/kdjEVK7teCFPXtOOCwL9nI5ljPEQViiqsKOpGfz9y2jmrd1LaH1/PrqjO31aNXA6ljHGw1ihqKKWbUng8c9/Jyl0L0I4AAAPdUlEQVQlg4cub8l9/Vvi52vdTMaYP7JCUcUcT8vkuS+j+SwqnraNavHBbd0Ia1Lb6VjGGA9mhaIKWRt3hIdmr2Xf0TQe6N+SB69oSXUfa0UYYwpmhaIKyMlR/vPjTv65OIYLAv349O6edG1Wz+lYxpgKwgpFJXc4OZ1H5qxjxbbDDA5vxAvDOthd5IwxxWKFohJbv+co93wcRVJKBv+4IZybuje1K6uNMcVmhaKS+nT1Hp5csJEGAdX5/N5LbMDaGHPerFBUMpnZOTyzcBMzV8Vxacsg3ripM3VrVnM6ljGmAnNkjmgRmSIiW0Rkg4jME5E6edZNFJHtIhIjIlc5ka+iOpaayZgPfmPmqjju6XsRM27vbkXCGFNiTt1MYAkQpqodgK3ARAARuRi4EWgPDALeEhE7f7MI4hJTGfb2T6yOTeKfIzry+NVt8baJ/IwxpcCRQqGqi1U1y/30VyDY/fg6YLaqpqvqLmA70N2JjBVJ1O4krn/rJw4nZ/DRHT34U9fgwl9kjDFF5Am3J7sd+Nr9uAmwJ8+6ePcycw5LNydw87urCPTzYd59l9CzRX2nIxljKpkyG8wWke+ARvmsmqSqC9zbTAKygJmnXpbP9nqO/Y8DxgGEhISUOG9F9HlUPI9+voH2FwYy/bZu1A+o7nQkY0wlVGaFQlUHFLReRMYAQ4ArVPVUMYgHmubZLBjYd479TwOmAURERORbTCqz91fu4rmvornkovpMuzWCgOp2Apsxpmw4ddbTIOAxYKiqpuZZtRC4UUSqi0hzoBXwmxMZPZWqMnXJVp77KppB7RsxfWw3KxLGmDLl1DvMm0B1YIn7SuFfVfUeVd0kIp8C0bi6pO5X1WyHMnocVWXKtzG89cMO/i8imBeGdbAzm4wxZc6RQqGqLQtYNxmYXI5xKgRV5cVvtvCf5Tu5qXsIk68Ps/tYG2PKhfVZVACqyj8WbebdFbsY3TOEZ4dakTDGlB8rFB5OVXnx6y28u2IXt/Zqxt+HtreJ/Ywx5coTrqMwBfj399v5z487Gd0zxIqEMcYRVig82PSfdvHK4q3c0LkJzw4NsyJhjHGEFQoP9VnkHv7+ZTRXXnwBU4Z3sDEJY4xjrFB4oMWbDvDY5xvo0yqIN27ujI+3/ZqMMc6xdyAPE7X7CA/OWkt4cB3+c0tXqvvY5LnGGGdZofAguw6ncOeM1TSq7cf7YyLwr2YnpRljnGeFwkMcTk7ntum/ISLMGNudIJvgzxjjIaxQeICTGdncMSOShONpvD8mgtCgmk5HMsaYXNa34TBVZcLc9WyIP8p/Rnelc0hdpyMZY8wZrEXhsDeWbed/G/bz2KC2XNk+v9t3GGOMs6xQOOibjfuZumQrwzo34e7LWjgdxxhj8mWFwiGb9h3jkTnr6dS0Dv8YFm5XXRtjPJYVCgckpWQw7r9R1PH3ZdqtXfHztWsljDGeywazy1l2jvLw7LUcOpHO3Ht70bCWn9ORjDGmQFYoytmr321lxbbDvDAsnA7BdZyOY4wxhbKup3K0dHMCbyzbzoiuwdzYranTcYwxpkisUJSTuMRUHpmzjvYXBvLc9TZluDGm4rBCUQ7Ss7K575MoAN4eZYPXxpiKxcYoysHL38Swce9xpt3SlZD6/k7HMcaYYrEWRRlbtiWB91fu4rZLQu3Ka2NMheRooRCRCSKiIhLkfi4i8rqIbBeRDSLSxcl8JXXgWBoTPttAu8aBPH51W6fjGGPMeXGsUIhIU2AgEJdn8dVAK/fXOOBtB6KViuwc5c9z1nIyI5s3b+5s4xLGmArLyRbFv4BHAc2z7Drgv+ryK1BHRBo7kq6E3lm+g193JvHsde25qEGA03GMMea8OVIoRGQosFdV15+1qgmwJ8/zePeyCmXj3mP8a8lWhnRozPCuwU7HMcaYEimzs55E5Dsgv9HbScATwJX5vSyfZZrPMkRkHK7uKUJCQs4zZelLy8zmkTnrqFezGs/b9RLGmEqgzAqFqg7Ib7mIhAPNgfXuN9FgYI2IdMfVgsh7yXIwsO8c+58GTAOIiIjIt5g44Z+LY9h2MJkPx3ajjn81p+MYY0yJlXvXk6r+rqoNVTVUVUNxFYcuqnoAWAjc6j77qSdwTFX3l3fG8/XrzkTeW7mL0T1D6NemodNxjDGmVHjaBXeLgMHAdiAVGOtsnKI7kZbJXz5dT7N6/jwxuJ3TcYwxptQ4XijcrYpTjxW437k05++Fr7ew/9hJPrvnEvyrOf5jNcaYUmNXZpeCX3Yk8smqOO64tDldm9V1Oo4xxpQqKxQldDIjm8e/2ECz+v6MH9jG6TjGGFPqrI+khKYuiWF3Yiqz7upJjWp29bUxpvKxFkUJrNtzlPdX7uLmHiH0uqi+03GMMaZMWKE4TxlZOTw6dz0XBPox0Sb8M8ZUYtb1dJ7eXbGTrQnJvD8mglp+vk7HMcaYMmMtivMQl5jK60u3cXVYI65od4HTcYwxpkxZoSgmVeWphRvx8RKeuvZip+MYY0yZs0JRTN9sPMAPMYd4ZGBrGteu4XQcY4wpc1YoiiE5PYtnvtxEu8aB3HZJqNNxjDGmXFihKIapi7dy8EQ6k28Iw8fbfnTGmKrB3u2KKObACWb8EsuN3ULoEmLTdBhjqg4rFEWgqvz9y00EVPfh0atsmg5jTNVihaIIvtl4gJ93JPKXK1tTt6bdjMgYU7VYoShEWmY2z/9vM20b1eLm7p5zy1VjjCkvVigKMe3Hnew9epKnrr3YBrCNMVWSvfMVYO/Rk7z1w3YGhzfikouCnI5jjDGOsEJRgBe/3oIqdmtTY0yVZoXiHNbGHeHL9fsYd1kLguv6Ox3HGGMcY4UiH6rKPxZtJiigOnf3vcjpOMYY4ygrFPn4dlMCq2OPMH5gawKq20zsxpiqzQrFWTKycnjx6820ahjA/0UEOx3HGGMc51ihEJEHRSRGRDaJyMt5lk8Uke3udVeVd65PVu0mNjGVJwa3s9NhjTEGh+5wJyL9geuADqqaLiIN3csvBm4E2gMXAt+JSGtVzS6PXMdOZvLa0m30blmffm0alMchjTHG4zn1kfle4EVVTQdQ1YPu5dcBs1U1XVV3AduB7uUV6p3lOzh6MpOJV7dDRMrrsMYY49GcKhStgT4iskpElotIN/fyJsCePNvFu5eVuYPH05j+0y6GdryQsCa1y+OQxhhTIZRZ15OIfAc0ymfVJPdx6wI9gW7ApyLSAsjvY7yeY//jgHEAISEln4PpjWXbycpWxg9sXeJ9GWNMZVJmhUJVB5xrnYjcC3yhqgr8JiI5QBCuFkTTPJsGA/vOsf9pwDSAiIiIfItJUcUlpjLrtzhGdmtKs/o1S7IrY4ypdJzqepoPXA4gIq2BasBhYCFwo4hUF5HmQCvgt7IO8+p3W/H2Eh66olVZH8oYYyocp64m+wD4QEQ2AhnAGHfrYpOIfApEA1nA/WV9xlPMgRPMW7eXcX1acEGgX1keyhhjKiRHCoWqZgCjz7FuMjC5vLK8sjiGgGo+3GNTdRhjTL6q9BVla+OOsCQ6gXGXtbA71xljzDlU6UKhQJ9WQYy9tLnTUYwxxmNV6RnvuoTU5aM7ejgdwxhjPFqVblEYY4wpnBUKY4wxBbJCYYwxpkBWKIwxxhTICoUxxpgCWaEwxhhTICsUxhhjCmSFwhhjTIHENRdfxSYih4Dd5/nyIFwz13oaT80FnpvNchWP5SqeypirmaoWet/nSlEoSkJEIlU1wukcZ/PUXOC52SxX8Viu4qnKuazryRhjTIGsUBhjjCmQFQr37VQ9kKfmAs/NZrmKx3IVT5XNVeXHKIwxxhTMWhTGGGMKZIUiDxGZICIqIkFOZwEQkedEZIOIrBORxSJyodOZAERkiohscWebJyJ1nM4EICIjRGSTiOSIiONnp4jIIBGJEZHtIvK403lOEZEPROSg+571HkFEmorI9yKy2f07fNjpTAAi4iciv4nIeneuvzudKS8R8RaRtSLyVVkexwqFm4g0BQYCcU5nyWOKqnZQ1U7AV8BTTgdyWwKEqWoHYCsw0eE8p2wEhgE/Oh1ERLyBfwNXAxcDN4nIxc6myvUhMMjpEGfJAv6iqu2AnsD9HvLzSgcuV9WOQCdgkIj0dDhTXg8Dm8v6IFYoTvsX8CiuO6R6BFU9nudpTTwkm6ouVtUs99NfgWAn85yiqptVNcbpHG7dge2qulNVM4DZwHUOZwJAVX8EkpzOkZeq7lfVNe7HJ3C9+TVxNhWoS7L7qa/7yyP+DkUkGLgGeK+sj2WFAhCRocBeVV3vdJazichkEdkDjMJzWhR53Q587XQID9QE2JPneTwe8MZXEYhIKNAZWOVsEhd398464CCwRFU9IhfwKq4PtzllfaAqc89sEfkOaJTPqknAE8CV5ZvIpaBcqrpAVScBk0RkIvAA8LQn5HJvMwlXl8HM8shU1FweQvJZ5hGfRD2ZiAQAnwN/PqtF7RhVzQY6ucfi5olImKo6Or4jIkOAg6oaJSL9yvp4VaZQqOqA/JaLSDjQHFgvIuDqRlkjIt1V9YBTufLxCfA/yqlQFJZLRMYAQ4ArtBzPsS7Gz8tp8UDTPM+DgX0OZakQRMQXV5GYqapfOJ3nbKp6VER+wDW+4/SJAL2BoSIyGPADAkXkY1UdXRYHq/JdT6r6u6o2VNVQVQ3F9QfepTyKRGFEpFWep0OBLU5lyUtEBgGPAUNVNdXpPB5qNdBKRJqLSDXgRmChw5k8lrg+pb0PbFbVqU7nOUVEGpw6q09EagAD8IC/Q1WdqKrB7vesG4FlZVUkwAqFp3tRRDaKyAZcXWMeccog8CZQC1jiPnX3HacDAYjIDSISD/QC/ici3zqVxT3Y/wDwLa6B2U9VdZNTefISkVnAL0AbEYkXkTuczoTrE/ItwOXu/1Pr3J+WndYY+N79N7ga1xhFmZ6K6onsymxjjDEFshaFMcaYAlmhMMYYUyArFMYYYwpkhcIYY0yBrFAYY4wpkBUKY4wxBbJCYYwxpkBWKIwpZSLyqIg85H78LxFZ5n58hYh87Gw6Y4rPCoUxpe9HoI/7cQQQ4J7H6FJghWOpjDlPViiMKX1RQFcRqYXrxje/4CoYfbBCYSqgKjN7rDHlRVUzRSQWGAv8DGwA+gMXUQ53IzOmtFmLwpiy8SMwwf19BXAPsK48p2Q3prRYoTCmbKzANfPoL6qaAKRh3U6mgrLZY40xxhTIWhTGGGMKZIXCGGNMgaxQGGOMKZAVCmOMMQWyQmGMMaZAViiMMcYUyAqFMcaYAlmhMMYYU6D/B5yDWvt2MQ9iAAAAAElFTkSuQmCC
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<p>we create an optimizer with momentum term of 0.9</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Create a optimizer with momentum</span>

<span class="n">optimizer</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">lr</span><span class="o">=</span><span class="mf">0.01</span><span class="p">,</span> <span class="n">momentum</span><span class="o">=</span><span class="mf">0.90</span><span class="p">)</span>
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<p>We run several iterations of stochastic gradient descent with momentum and plot the results. We see the parameter values do not get stuck in the saddle point.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Plot the model</span>

<span class="n">plot_cubic</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer</span><span class="p">)</span>
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<h2 id="Minima">Local Minima</h2>
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<p>In this section, we will create a fourth order polynomial with a local minimum at <i>4</i> and a global minimum a <i>-2</i>. We will then see how the momentum parameter affects convergence to a global minimum. The fourth order polynomial is given by:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Create a function to calculate the fourth order polynomial </span>

<span class="k">def</span> <span class="nf">fourth_order</span><span class="p">(</span><span class="n">yhat</span><span class="p">):</span> 
    <span class="n">out</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="p">(</span><span class="n">yhat</span> <span class="o">**</span> <span class="mi">4</span><span class="p">)</span> <span class="o">-</span> <span class="mi">9</span> <span class="o">*</span> <span class="p">(</span><span class="n">yhat</span> <span class="o">**</span> <span class="mi">3</span><span class="p">)</span> <span class="o">-</span> <span class="mi">21</span> <span class="o">*</span> <span class="p">(</span><span class="n">yhat</span> <span class="o">**</span> <span class="mi">2</span><span class="p">)</span> <span class="o">+</span> <span class="mi">88</span> <span class="o">*</span> <span class="n">yhat</span> <span class="o">+</span> <span class="mi">48</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">out</span>
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<p>We create an optimizer with no momentum term. We run several iterations of stochastic gradient descent and plot the results. We see the parameter values get stuck in the local minimum.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Make the prediction without momentum</span>

<span class="n">optimizer</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">lr</span><span class="o">=</span><span class="mf">0.001</span><span class="p">)</span>
<span class="n">plot_fourth_order</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer</span><span class="p">)</span>
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<p>We create an optimizer with a  momentum term of 0.9. We run several iterations of stochastic gradient descent and plot the results. We see the parameter values reach a global minimum.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Make the prediction with momentum</span>

<span class="n">optimizer</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">lr</span><span class="o">=</span><span class="mf">0.001</span><span class="p">,</span> <span class="n">momentum</span><span class="o">=</span><span class="mf">0.9</span><span class="p">)</span>
<span class="n">plot_fourth_order</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer</span><span class="p">)</span>
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<h2 id="Noise">Noise</h2>
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<p>In this section, we will create a fourth order polynomial with a local minimum at 4 and a global minimum a -2, but we will add noise to the function when the Gradient is calculated. We will then see how the momentum parameter affects convergence to a global minimum.</p>

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<p>with no momentum, we get stuck in a local minimum</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Make the prediction without momentum when there is noise</span>

<span class="n">optimizer</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">lr</span><span class="o">=</span><span class="mf">0.001</span><span class="p">)</span>
<span class="n">plot_fourth_order</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer</span><span class="p">,</span> <span class="n">std</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
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<p>with  momentum, we get to the global  minimum</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Make the prediction with momentum when there is noise</span>

<span class="n">optimizer</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">lr</span><span class="o">=</span><span class="mf">0.001</span><span class="p">,</span><span class="n">momentum</span><span class="o">=</span><span class="mf">0.9</span><span class="p">)</span>
<span class="n">plot_fourth_order</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer</span><span class="p">,</span> <span class="n">std</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
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<h3>Practice</h3>
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<p>Create two <code> SGD</code>  objects with a learning rate of <code> 0.001</code>. Use the default momentum parameter value  for one and a value of <code> 0.9</code> for the second. Use the function <code>plot_fourth_order</code> with an <code>std=100</code>, to plot the different steps of each. Make sure you run the function on two independent cells.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Practice: Create two SGD optimizer with lr = 0.001, and one without momentum and the other with momentum = 0.9. Plot the result out.</span>
<span class="n">optimizer1</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">lr</span><span class="o">=</span><span class="mf">0.001</span><span class="p">)</span>
<span class="c1"># Type your code here</span>
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<p>Double-click <b>here</b> for the solution.</p>
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optimizer1 = torch.optim.SGD(w.parameters(), lr = 0.001)
plot_fourth_order(w, optimizer1, std = 100, color = 'black', paramlabel = 'parameter values with optimizer 1')

optimizer2 = torch.optim.SGD(w.parameters(), lr = 0.001, momentum = 0.9)
plot_fourth_order(w, optimizer2, std = 100, color = 'red', paramlabel = 'parameter values with optimizer 2', objfun = False)
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">optimizer2</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">w</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">lr</span><span class="o">=</span><span class="mf">0.001</span><span class="p">,</span> <span class="n">momentum</span><span class="o">=</span><span class="mf">0.9</span><span class="p">)</span>
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<h2>About the Authors:</h2><p><a href="https://www.linkedin.com/in/joseph-s-50398b136/">Joseph Santarcangelo</a> has a PhD in Electrical Engineering, his research focused on using machine learning, signal processing, and computer vision to determine how videos impact human cognition. Joseph has been working for IBM since he completed his PhD.</p>

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<div class="prompt input_prompt">In&nbsp;[64]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plot_fourth_order</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer1</span><span class="p">,</span> <span class="n">std</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;black&#39;</span><span class="p">,</span> <span class="n">paramlabel</span> <span class="o">=</span> <span class="s1">&#39;optimizer 1&#39;</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plot_fourth_order</span><span class="p">(</span><span class="n">w</span><span class="p">,</span> <span class="n">optimizer2</span><span class="p">,</span> <span class="n">std</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;red&#39;</span><span class="p">,</span> <span class="n">paramlabel</span> <span class="o">=</span> <span class="s1">&#39;optimizer 2&#39;</span><span class="p">)</span>
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pYbWmdlFSZOnr9E1rliTuRfIrewlPPF5Zy/VMalskoqTZpKkyYgQBEeEkh4SCCRYcG0bBZKy2ahtGvRhOTYpsQ0DcG80KfwRvPWH6W4vJInR6UYHYrLSAJxs8AAxdhubfhw2wmKSitoGuplv/KqjuKqD8mqjmKQVogbFleqNGn2n7nI1ox8fjp5gX2nCzicXUB5pa61X0RoEM2bBNMkJJCgAEVggKLSpLlUXsmlskrOXyqnrKJ2sc7IsCA6toqge/vmdGvfnF7xLejYKkKSihfILihh4aZMxvdsR0pr3yuaaIsyL/TXOPXr10+npaUZHQZbM/K5698/8Oa9vRnf08taIUlJ1ldBTEw0l5O3JjXVN1esMyjuMxdKWLs/m7X7s9mSkUdBibk/rGWzULq0jaRLu0iuaRlBfFQT4qLDadUstN7SFlprLpZUkFNQwolzl8jMLSIjt4j9ZwrYc/ICRWWVAMQ0DWFAcjSDr4lhxHWtiI/27WGjvuqZ//7I0p0nWfW/w0mKbWp0OPVSSqVrrfvVt5+XfR1unPolRtGqWSjLfzzlfQnE0Y5iX22xeDjuMxdKWL7rFMt+PMWurAsAxEU1YVyPtgxMjqF/cjTtWzRx+vhKKZo3CaZ5k2BzGfDrLj9nMmmO5hax/fg5thzNZ/PRPL7afQbYw7WtIxjVuTW3dm9L13aR0jrxgB9PnOe/6Vn8angHn0gejpAWiIf8ftkePth6nPTnb6KZN5UucLQF4kyLxRt4IO6yChOr9p7lg63H2HQkD62hR1xzbunWllGdW5Hi7OWkBractNZk5BZVt4K2ZuRTYdIkxYQzrkc77ujTng4tIxyPS9RLa80dczdxIv8S3z493Lv+9utgbwtEEoiHpGXmM+FfPzD77l78ond7o8O57Mpv5mDuKLY1EisgwDyp7kpKmVdR9FZujDu7oIT3Nx3jw20nyC0spX2LJkzoG8dtvdo1/IPZ0X8fO5wrKmPl3jMs33WajYdzMWlzK3livzh+3rMd4SFyYcJVlu44yZNLdvLqhB5M7Oc7Kw5KAsG7EojJpBnyl7V0aRvJ/Af7Gx1ObY58w5UWSLUjOYW8/f1RPt1+knKTiRn527l/+TzCTp9EuaqPxc2/7+yLJXy64yT/TTvBkZwimoUGcWffOO4blOCTK+R5k8LSCkb9bR2tI8NY+tgQAgJ853KhJBC8K4EA/PmrfbyzPoPNM0bRslmo0eE4xw3fiD3ChXEfzSnkjTWHWPbjKYIDA5jYN47pZ7fR6jdPuP734qEWn9aa9GPnWLz5GCt+OkNZpYlhKbE8NDSZ4de2lL4SJ8z87Cc+2HqcTx4dTJ+EKKPDcYi9CQStdaO99e3bV3uTQ2cv6sRnl+u3vz9idCgNs3ix1omJWitlvl+82OiI7NPAuE+eK9a/+WinTn5uue70/Ff6Tyv26uyLJeYnExO1Nn/U174lJjYsZncdtw65BSX6H2sO6v5/XKUTn12ub/rbOv3RtuO6tLzSbedsbDYcytGJzy7Xf/hij9GhOAVI03Z8xkoLxMN+8c+NXCqr5Osnh8m3Oh9RUFLO3HVHmL8hAw3cPyiRR4ZfU7sV6a6WgoEtvrIKE8t3nWLe90fZf6aAds3DeHhYB+4dkECTkEC3ntuXFZZWcPPfvyc0KIAV04cRFux7vyt7WyBSysTDJvSN48DZAnafvGh0KLVJ2fKrmEya/6adYORr65iz7gi3dGvD2t8M54VxXa6+BOmusicGlpoJCQrgjj5xfDV9GAum9CcuOpyXl+9l2F/X8u/vjlBU6qX13Qz25xX7OHXhEq9O7OGTycMR0gLxsAvF5fT/02ru7R/P/93WzehwzHy1X8ON9py6wIuf7yH92Dn6JLTgpZ93pWd8C9sv8JPf4bbMfN5cc4j1h3KJCg9m2g3X8MD1id5XYcEga/ad5aGFafxyWDIzb+1idDhOk050vDOBADzxnx2sP5TDlt+NIjTIC76h2BrpExhovvziS7PNG6i4rIK/rzrI/A0ZtAgP4blbOjGhT5x9I2h8dYa+E3YcP8fs1Yf47mAO0U1DeGR4B+4flOTXl7Yyc4v4+VsbSIwJ5+NHBvt068OlCUQpdT1wHzAMaAtcAnYDXwKLtdYXGhaue3hrAvnuYA6T393KnEl9GNu9rdHh2L5+X1Mj/DZ9pQ2Hcpnx2S5O5F/i3gHxPDemM83DfWPil1HSj51j9uqDrD+US8tmoTw+siP3DIj3ji9GHnSprJLb52zkzMUSvnh8qM+XjHFZH4hS6ivgYeAbYAzmBNIFeB4IAz5XSo1vWLj+ZWjHWNpEhvFR2gnnD+LKPovo6Pr3acQLKRWWVjDj05+4b/4WggIC+HDaIP58Rw/3Jo9G0ufUNzGKRQ8N5KNfXU9ybFNeWraHG1/7jo+2naCi0osnlrqQ1pqZn/3EgbMFzL67l88nD4fUN0wLiHXFPkbcvG0Yb01/W3lAJz23XGfmFjr+4sWLtQ4Prz2sMzzcueG0jz5qfZiotZtSjh/fy/1wJFcPeWWNTnpuuZ715V59qazC/Sd15b+fFzGZTPr7g9l6/D/W68Rnl+uRr36rP995UldWmowOza3eWntIJz67XP991QGjQ3EZXD2MVyk1FVivtT7ktmzmYt56CQvg7MUShryylgcHJ/H8OAc721w1Ozk1Fe6/v/7LV84e34uVVZj428oDzFt/lITocP42sSf9kuxoibmCr87mt5PWmpV7z/L6yoMcOFtApzbN+M3PruOmzq0a3dD1D7Yc53ef/cQverXj9bt6+dRs87q4YxhvEvBvpdQRpdRHSqknlFK9nI7Qz7WODGNMtzZ8lHbC8eVuXbXU6syZ9ieP8HAYO7ZRXHY5nF3I7XM28u/vj3LvgAS+mj7Mc8kDGv1SuUopbu7ahhXTh/HGPb0oKa/kl++ncfucTaw/lIO9X1q93Ze7TjNz6U/c2KkVr07s2WiShyPsTiBa6xe11jcC3YANwDNAursC8weTBydxsaSCpTtOOfZCV805sPYtuEpMTO25B5Mnw8KF5tdofbkcug8lEa01S7YdZ9w/1nPq/CXm3d+XP93e3fPFA/1kqdzAAMVtvdqz6qnhvHJHd7IvlnD//K3c/e/N/HAkz+jwGuTr3Wd4cskO+iZE8c//6VPv+i2Nld3vWin1vKVDfSXQEXgaiHNXYP6gX2IUXdpGsnBTpmPfymbNMrcIanJ0qdXUVHNysEYpeOMN8+UUk8l8v2JF7TkO4FMd64WlFTy5ZCfPfvITfROj+ObJG/hZ1zbGBOOKf7/6eFEnfXBgAPcMSODbZ0bw8m1dOZZfxL1vb+aeeT+w6Uiuz7VIFm8+xmOp6XRt15z5k/v79dBluzukge3AVuAlYAQQZu9rjbp5cyd6lQ+3HtOJzy7XPxzJdeyFDa1HZavGEpg71q+klM92rO8+eV4P/+tanfzccv2PNQd1hTd06rqznpi3dNLbeI+Xyir0/PVHq2ttTZi7UX+7/6w2mbzg36UOJpNJ/+2b/Trx2eV6yoKtuqi03OiQ3AZ31MJSSjUDhlpudwFntdZDXZzTXMabO9GrlJRXMujPaxiUHMO/7u/ruRPXNfdD66snxRUWQp6Vyw5e3PGrteajtBO88PkeosKD+ce9fRiQ7MG+DqN4Qye9HTPzS8or+SjtBHPXHeH0hRK6tI3kkRHXMLZbG4K87JLQ+eIyfvvxLlbuPctd/eL40+3dvS5GV3L5THSlVDfMEwmHA/2AE5hHZb3YkEDdyRcSCMBfv97P3O+OsPqp4VzjqZXhbH3IxMSYL19d+ccfEmJOLOXll7d58eTCS2WVvPD5bj5Oz2Jox1hm39OL2AgfLaHvKG9Y9MuBJFZWYeLznSf513dHOJJTRPsWTZg8OJG7+yV4xUTOLUfzeHLJTnILS3l2TCceGprc6EaTXckdCeRL4DvMHejbtNbl9bzEcL6SQHILSxn6l7WM69GO1yb29MxJU1Nh6lQoK6u9PTgYIiOttzZiYiAiwutLdRzLK+JXi9I5cLaAJ25MYfqoFAL9aYSMN7RAnEhiJpNm1b6zvLshgy0Z+TQJDuQXvdtz74B4urdv7vEP7fyiMmavPsjF+e/x3PrFtL6Q7bqFwryc1MLCdxIIwP99sYf3fzjGuqdHeG4ma2ys9URhi7cvWwt8uz+b6R/uQCnF7Ht6MfK6VkaH5HneUNixgUlsz6kLvLcxky92naKk3ESXtpFM6BvHuB5taRUZ5vJwayopr2TRD8d4c+0hRu1YzV+/eYuQ0pLLO3hxy9tVXFnK5Aul1M+VUle1JZVSHZRSL1smGXqEUmqMUuqAUuqwUuo5T53X3abd0IEABf/+/ojrDlrfSBxHkgd49TBTk0nzxupDTF24jbiocL54fKh/Jg8wtAR8tQaONOvarjmvTuzJlt/dxB9u6wrAy8v3MvDPa7h33mbe/yGT43nFdR/EQSfyi/nzin0M+vMaZq3YR9/EKF7dvqR28gCfGn3obvW2QJRSbYCngDuBfCAHcw2sJOAI8JbW+nP3hlkdSyBwEBgNZAHbgHu11nut7e9LLRCAGZ/u4pPtJ9nw25EN/5Zlz7fQoCCorLTveF78raugpJynPvqRVXvPckfv9sy6vbt/D630Fi6uTnzobAFf7DrN8h9PcTS3CIAOsU0Z0jGW3gkt6BXfguTYpnZf6qqoNLHvdAHrDmSz7mAO24+fI0ApRnduzeTBSVx/TYx39CcZwC2XsJRSSVyuxntQa+3arwD1n/964Pda65stj2cAaK3/bG1/X0sgx/KKGPnaOh4a6oK1BOy5hFDfH1pVOfeqYov5+V7X93Ekp5Bfvp/GsbxiXri1M5MHJzX6Dk5/p7UmI7eIdQdyWHcwh/TMfIrKzF+EwkMCSYgOJyE6nLbNw2gaGkTT0CAClKKotILC0gpyCks5kl3I0ZwiyiwFH3vENefGTq24q1887Vo0uXwyb+hPMkCj7ANRSk0AxmitH7Y8vh8YqLV+vMY+04BpAAkJCX2P1TXb2gs9tWQnK3afZt3TI2nTvAGtEHu+Odn646hp8eKrWzJKmY+dmGhoMlm99yxPLtlJaFAA/5zUh0EdYgyJQxir0qQ5nF3IjuPnOHC2gON5xRzLLyb7YgnFZZVUmMx/B0pBREgQUU1D6NgqgpRWEXRuG8nQlFjbI/S8oT/JAPYmkHprOCilCgBrWUYBWmsd6UR8zrL21bJWbFrrecA8MLdAPBGUK/3v6GtZvus0f1t5gFcbMiIrIcF6cqjqx0hNNc/tqEtgoPkSxJUz0KsSU1U5E/DoH5PJpHnr28O8vuog3ds359/39639rVH4lcAAxXVtmnFdm2ZXPae1pqzSRKVJ0yQ40PHWadX/az9ZKMxR9Xaia62baa0jrdyaeTh5gLnfI77G4zjAwUJS3i0+OpzJgxP5eHsW+043YN30ujoxq75V1deJXllZf4E/D3coFpZW8GhqOq+vOsjtvdvz30eul+QhbFJKERoUSHhIkPOXNidNql3WR5JHNV+bSrkNSFFKJSulQoB7gGUGx+Ryj49MITIsmD+t2Of8QeoaiWOtVWGNUvYtNuWhKrKZuUXcMWcjq/dl8/ytnXn9rp4+vWyoEL7Ow2VIG0ZrXaGUehzz6oiBwLta6z0Gh+VyzcODeeLGjvzxy318dzCH4de2dO5AkyZZ/7Zk7wd+1aWq8PC6E44Hhvd+fzCHxz/YTkCA4v2pAxjSMdbt5xRC1M3XWiBorVdora/VWl+jtXZh+VLvcv/1icRHN+FPX+6j3NVLgzrygZ+ff7klA1eP3HJ1FdkraK2Zu+4IDy7YSrsWTfji8aGSPITwEj6XQPxFaFAgL9zahQNnC5j3/VHXHnzWrPqH8FZJSLh8DVhrWLTIYxPUikorePyDHfzl6/3c0r0tnz422L/WmxbCy/nUMF5H+do8EGseS01n9b5svp4+jA6uLLRobwJZvNiQTsOM3CIeWZTOoewCfjumE7+6oYPM7xDCQ9yxpK0wwO/HdyUsKIAZn/6EyeTCZF91SaouMTHm5OHhxYnW7DvL+Lc2kF1QwsKpA3hk+DWSPITwQpJAvFyrZmHMvLUzWzLyWZJ2ov4X2PNhb88ckKpVCauG/HpgKdtKk+b1lQd4aGEaiTHhfPHEUIalODndLzqqAAAZxUlEQVSAQAjhdpJAfMBd/eK5vkMMf/pyH8fyimzvWN+HfWqquQLvfffVPwek6tKmtSG/bpj7kVtYygPvbuHNtYeZ2DeOjx8ZTFyU9HcI4c2kD8RHZJ0r5tY3NxAX1YRPHh1sff5DXXV7Zs26uiRDfYKDay8gVZMLi8lty8zn8Q+2c764nD/c1o27+sfX/yIhhNtIH0gjExcVzt8m9mTPqYv88UurxYdtz+84ftz+yYM1lZeby5lY44K5HyaT5p/fHuaeeZsJCw7ks8eGSPIQwodIAvEhN3Vpza9u6MDizcf54kcrFVxsfagnJDg/W7yyskHrOtiSXVDCA+9u5dVvDjC2e1uWPzGULu08XRlHCNEQkkB8zNM3X0ffxCie/WQXP544X/vJuupfOdtiqJrr4cK5H6v3nuWW2etJO5bPK3d05817etEszPi1r4UQjpEE4mOCAwOYO6kP0U1DmPLeNo7m1BhNVVf9K2vJpT6BgZcrj7qgmFxRaQUzPt3Fw++n0ToyjC8eH8o9AxJkiK4QPko60X1URm4RE+ZuoklIIJ8+Oti+FQxrrhAXHQ0FBVBWZnv/mBjIzXVJvD8cyeO5T3dxPL+YX91wDf87OoXQICmEKIQ3kk70Ri45tikLpvQnv6iMB97dSk5BqWMHiIiAhx4yJwlb8vMbFiTm8uvPL/2Je9/eDMB/fjmI527pJMlDiEZAEogP6xHXgnn39+NYXjF3zt1EZq6Dc0QWLqz7BA0YaaW1ZsVPpxn9+nekbjnOw0OT+Xr6DbJqoBCNiCQQHzc0JZYPfjmQgpJy7py7iV1Z563vaGtCYF0TCh0ZaVVjBnx5fAJzp73MY6nbiQoP4ZNHB/P8uC40CZFWhxCNifSBNBJHcwp54N2t5BWW8eLPu3BP//jandO21ki3pWnT+sudVLGybvSl4FC2/e4VBr/w/wgKlO8pQvgS6QPxMx1aRvDpY4PpmxjFjE9/4pfvp5NXWKNfxNblqAAb/wUqK+0+d+WM313VumlSXsoN782W5CFEIyZ/3Y1Iq2ZhvD91AM/f2pnvD+Zw8+zvef+HTMoqTLbniNgqR1JSAo89VnvbFYUac/79Ls8v/Ql1wkaRRw8tdSuEMIYkkEYmIEDx8LAOLHtiCB1iI3jx8z2Men0dH3caTtncf109R6Susu7z5l3+2UonfNPHH6N4wSIuxLax/noPLHUrhDCOT62JLuxgmevR6fhxlkRFUW6CoPPnOBUZyws3TYHXlnFbr3b0Toi63Kl9333Wj1VZidaarHOXiHr6WSKuuEwVXlHKqzs+JHD2q1cXanTzUrdCCONJAmlMrujMVvn5hFieiruYwx+Wv8lMk+Z/0oYTGKBIaRVBt/bd+CuKAK7uYK8MCKDX/62koKSCo2es1N4CArOyLs9Mr5qkmJBweQa7EKLRkktYjUk9FXdDykr4y/YlvPNAPx4bcQ2tIsP47mAOqX1uuSp9aGBXSh/G92zHH37Rjcq4OOsHrbpM5aJyJ3bx8AqJQggbtNaN9ta3b1/tV5TS2txDYfum1FUvM5lMunzkKG26ct/wcK0XLzbvtHix+bGt521ZvFjrxETzeRMT69+/Ps7GIYSwG5Cm7fiMlRZIY2JPp/WV+6SmopKTCfp2DVeVNKy58mBdhRptccdyuB5aIVEIUT+ZSNiYpKba7hAHc8d2zQ99KxMAr9KQlQfrWiExM9O5Y9qaEOnCFRKF8HcykdAfTZpkuzhiYCBMnmz+pl7VdzB9ev2rFGp99XwQe9W1QqKz6lo0SwjhUZJAvJWzHcVvvGF9wuC0aebiiTUvJ9VVB6umuXOdSyLu+LCva9EsIYRHSQLxRg3pO7DVV7FiheNrotdUc1KhvdzxYe9MX4wQwi2kD8QbebLvwBHOvL7mIlYyP0QIn2BvH4gkEG/kjo5iW0kpJsa8cFR9/w8CA6GiwrlzCyF8inSi+zJP9h3cdZd9LYtp05w/txCiUZIE4o1sfdiPHev8DOyqvoOao7SaNIGPPrLv9XPm2H8uIYRfkATijax1FE+efPUoKmcm5V26dPnnvDz7RmLVVbHXEVKCRIhGRfpAfIUrOtZtHaM+jz7a8BaItUmLV05sFEJ4BelEp5ElEFd0rDs7EismBnJzHX9dTe4YWSaEcAvpRG9sXNGx7mwnvL0TDuvijlnpQghDSQLxFa6YlDd2rGtjcoSUIBGi0ZEE4itcMQN7xQrnzm2rvpYjpASJcCUZkOEVZEVCXzJpUsM6nJ25XBQcbK6v1VCyaqFwlSsHZFSNSAT5/+Rh0onuTxwdhRUYaB46LH+UwpvIgAy38+pOdKXUq0qp/UqpXUqpz5RSLWo8N0MpdVgpdUApdXON7WMs2w4rpZ4zIm6fZ+0yUl1MJkkewvvIgAyvYVQfyCqgm9a6B3AQmAGglOoC3AN0BcYAc5RSgUqpQOCfwC1AF+Bey77CEZMmmSckBgaaH1fd2yId3MIbyYAMr2FIAtFar9RaV1Xm2wzEWX6+DfhQa12qtc4ADgMDLLfDWuujWusy4EPLvsIRqanmS1KVlebHVfe2XNnB7cqOS+kEFc6SARlewxtGYU0FvrL83B44UeO5LMs2W9uFI6ytJ26LumKFdFeub+6OtdKF/5A1YbyG2xKIUmq1Umq3ldttNfaZCVQAVZ8cysqhdB3brZ13mlIqTSmVlpOT09C30bg4co1Y69of6taST3GxeVncmuxpWdg61syZ9scn/NukSeYOc5PJfC/JwxBuSyBa65u01t2s3D4HUEpNBsYBk/TloWBZQHyNw8QBp+rYbu2887TW/bTW/Vq2bOnqt+XbHL1GXPND3Vbyycu7nCTsbVlIJ6gQjYJRo7DGAM8C47XWNb+KLgPuUUqFKqWSgRRgK7ANSFFKJSulQjB3tC/zdNw+z9FRWHD5Q72u5FOVZOpqpdRslURHWz+OdIIK4VOM6gN5C2gGrFJK7VRK/QtAa70H+AjYC3wN/FprXWnpcH8c+AbYB3xk2Vc44sprx/ao+lCvq4OyKsnU1Uqp2SqxVltLOkGF8DkykdCfPfYYzJ1r+3mlYNGiy9eXY2Otf/hXTeBytlx8TIx5trtcxxbCK3j1RELhJebMMa/1EWDlv4FS8MgjtT/U33ij7uGTzlwiA4iIkOQhhA+SBOLv5swxzwdZvLj2sMhFi65eRKq+4ZPWnrenEKN0ngvhk+QSlnAvaysRXklqGAnhVeQSlvAONVslcHXnvXSeC+GzJIEI96ua9KW1+dKYzCAWolGQ9UCEZzV0TRMhhNeQFoi4uvzIY4+Zh+wqZb7FxkqdKiHEVaQF4u+sre525dyQvDyYMsX8s7QehBAWMgrL3zky+U9GSzV65eXlZGVlUVJSYnQowgPCwsKIi4sjODi41nZ7R2FJC8TfOTIHQ+ZrNHpZWVk0a9aMpKQklL3lboRP0lqTl5dHVlYWycnJTh1D+kD8nSMFDKXYYaNXUlJCTEyMJA8/oJQiJiamQa1NSSD+btYs+worBgfLfA0/IcnDfzT031oSiDDPz6hLTAwsWCAd6MIwmZmZdOvWzepzDz/8MHv37nX4mDt37mTFihXVj5ctW8Yrr7zidIxVSktLuemmm+jVqxdLlixp8PGqLF26tNb7fPHFF1m9erXLju8M6QPxZ1UjsOoSHi6VcoVXe+edd5x63c6dO0lLS2Ps2LEAjB8/nvHjxzc4nh07dlBeXs7OnTsbfKyali5dyrhx4+jSpQsAL7/8skuP7wxpgfgze9ZIl6VmhYe9/vrrdOvWjW7dujF79uzq7RUVFUyePJkePXowYcIEii3/d0eMGEHVaMuVK1dy/fXX06dPHyZOnEhhYSEA27ZtY/DgwfTs2ZMBAwZw4cIFXnzxRZYsWVLdUnjvvfd4/PHHuXDhAklJSZhMJgCKi4uJj4+nvLycI0eOMGbMGPr27cuwYcPYv39/rdizs7O577772LlzJ7169eLIkSMkJSWRm5sLQFpaGiNGjADg97//PVOnTmXEiBF06NCBN998s/o477//Pj169KBnz57cf//9bNq0iWXLlvHMM89UH/fBBx/k448/BmDNmjX07t2b7t27M3XqVEpLSwFISkripZdeok+fPnTv3v2qeBtKWiD+zN5RVTL6yi/93xd72HvqokuP2aVdJC/9vKvN59PT01mwYAFbtmxBa83AgQMZPnw4UVFRHDhwgPnz5zNkyBCmTp3KnDlzePrpp6tfm5ubyx//+EdWr15N06ZN+ctf/sLrr7/Oc889x913382SJUvo378/Fy9eJDw8nJdffpm0tDTeeustAN577z0AmjdvTs+ePfnuu+8YOXIkX3zxBTfffDPBwcFMmzaNf/3rX6SkpLBlyxYee+wx1q5dWx1Dq1ateOedd3jttddYvnx5vb+P/fv38+2331JQUMB1113Ho48+ysGDB5k1axYbN24kNjaW/Px8oqOjGT9+POPGjWPChAm1jlFSUsKDDz7ImjVruPbaa3nggQeYO3cuTz75JACxsbFs376dOXPm8NprrzndYrNGWiD+zN5RVTL6SnjIhg0buP3222natCkRERHccccdrF+/HoD4+HiGDBkCwH333ceGDRtqvXbz5s3s3buXIUOG0KtXLxYuXMixY8c4cOAAbdu2pX///gBERkYSFFT3d+eqhAPw4Ycfcvfdd1NYWMimTZuYOHEivXr14le/+hWnT59u0Pu99dZbCQ0NJTY2llatWnH27FnWrl3LhAkTiI2NBSDa1hLQFgcOHCA5OZlrr70WgMmTJ/P9999XP3/HHXcA0LdvXzJdPI9LWiD+bNas+kuty+grv1VXS8Fd6prYfOWIoSsfa60ZPXo0//nPf2pt37Vrl8OjjcaPH8+MGTPIz88nPT2dG2+8kaKiIlq0aOFw30ZQUFD15bArh8yGhoZW/xwYGEhFRQVaa4firW8yeNU5qo7vStIC8WdXllq3JjJSOtCFx9xwww0sXbqU4uJiioqK+Oyzzxg2bBgAx48f54cffgDgP//5D0OHDq312kGDBrFx40YOHz4MmPsuDh48SKdOnTh16hTbtm0DoKCggIqKCpo1a0ZBQYHVOCIiIhgwYADTp09n3LhxBAYGEhkZSXJyMv/9738B8wf3jz/+WO97SkpKIj09HYBPPvmk3v1HjRrFRx99RJ5l+ej8/HwAm/F26tSJzMzM6ve9aNEihg8fXu95XEESiL+rKrVu6xuP5T+vEJ7Qp08fHnzwQQYMGMDAgQN5+OGH6d27NwCdO3dm4cKF9OjRg/z8fB599NHq1ymlaNmyJe+99x733nsvPXr0YNCgQezfv5+QkBCWLFnCE088Qc+ePRk9ejQlJSWMHDmSvXv32hxue/fdd7N48WLuvvvu6m2pqanMnz+fnj170rVrVz7//PN639NLL73E9OnTGTZsGIGBgfXu37VrV2bOnMnw4cPp2bMnTz31FAD33HMPr776Kr179+bIkSPV+4eFhbFgwQImTpxI9+7dCQgI4JFHHqn3PK4gtbCEma2aWFL/yq/s27ePzp07Gx2GQ7p3786yZcucLsfh76z9m8uKhMIxs2aZ53zUJKsFCi83evRounfvLsnDINKJ7u9SU83zPI4fh+hoaNLEfNkqIcGcPKT/Q3ixVatWGR2CX5ME4s+uXAskL8/c6li0SBKHEKJecgnLn1mbiS4zz4UQdpIE4s9szTCXmedCCDtIAvFntmaYy8xzIYQdJIH4Mxl5JRqB2bNnVxdWBBg7diznz5+3+/WuKuNe04kTJxg5ciSdO3ema9euvPHGGy49vtfQWjfaW9++fbWox+LFWicmaq2U+X7xYqMjEgbau3evYy/wgv8/iYmJOicnx+Pnram8vLzW41OnTun09HSttdYXL17UKSkpes+ePUaEVi9r/+ZAmrbjM1ZaIP6uaia6yWS+l9FXwl5Vo/iOHTMvSnbsmPlxamqDDmutnHtmZiadOnW6qpz7m2++yalTpxg5ciQjR44EqC6fXvWahx9+mG7dujFp0iRWr17NkCFDSElJYevWrQDVZdwBevXqVX1r0qQJ3333HUVFRUydOpX+/fvTu3fv6tnn7733HhMnTuTnP/85P/vZz2q9h7Zt29KnTx/AXIKkc+fOnDx5skG/F69kT5bx1Zu0QIRwjEMtkMRErc2po/YtMdHp86elpelu3brpwsJCXVBQoLt06aK3b9+uMzIyNKA3bNigtdZ6ypQp+tVXX7WEUbsFUvU4IyNDBwYG6l27dunKykrdp08fPWXKFG0ymfTSpUv1bbfdprXWesGCBfrXv/51rTiWLVumhw4dqsvKyvSMGTP0okWLtNZanzt3TqekpOjCwkK9YMEC3b59e52Xl1fne8rIyNDx8fH6woULTv9e3ElaIEIIz3PDKL6GlHO3Jjk5ubo+VNeuXRk1ahRKKbp3726ztPmhQ4d45plnWLJkCcHBwaxcuZJXXnmFXr16MWLECEpKSjhueY+jR4+us9x6YWEhd955J7NnzyYyMtLB34b3k4mEQgjnJCRYr5/WgFF85i+/1tVXzt2amuXSAwICqh8HBARYLW1eVFTEXXfdxdtvv027du2qY/rkk0+47rrrau27ZcsWmjZtavPc5eXl3HnnnUyaNKl6TY7GRlogwnzNOikJAgLM9w28hi38hBtG8TlTzr2usuyOmjJlClOmTKk+J8DNN9/MP/7xj+rktmPHjnqPo7XmoYceonPnztXVdBsjSSD+zk0docIP1FxPRinz/bx5DRqI4Uw592nTpnHLLbdUd6I769ixY3z88ce8++671R3paWlpvPDCC5SXl9OjRw+6devGCy+8UO+xNm7cyKJFi1i7dm31sVasWNGg+LyRlHP3d1LGXdTgreXcMzMzGTduHLt37zY6lEZHyrkL50k5EyGEkySB+DspZyJ8QFJSkrQ+vJAkEH8n5UyEEE4yNIEopZ5WSmmlVKzlsVJKvamUOqyU2qWU6lNj38lKqUOW22Tjom5k3NARKnxbY+4XFbU19N/asHkgSql4YDRQ82L7LUCK5TYQmAsMVEpFAy8B/QANpCullmmtz3k26kZq0iRJGAKAsLAw8vLyiImJsWuehfBdWmvy8vIICwtz+hhGTiT8O/Bb4PMa224D3rdMpd+slGqhlGoLjABWaa3zAZRSq4AxwH88G7IQjVtcXBxZWVnk5OQYHYrwgLCwMOLi4px+vSEJRCk1Hjiptf7xim857YETNR5nWbbZ2i6EcKHg4GCSk5ONDkP4CLclEKXUaqCNladmAr8DfmblOWttZl3HdmvnnQZMA0iQkURCCOE2bksgWuubrG1XSnUHkoGq1kccsF0pNQBzyyK+xu5xwCnL9hFXbF9n47zzgHlgnkjYkPcghBDCNo+PwtJa/6S1bqW1TtJaJ2FODn201meAZcADltFYg4ALWuvTwDfAz5RSUUqpKMytl288HbsQQojLvK0a7wpgLHAYKAamAGit85VSfwC2WfZ7uapDvS7p6em5SikrdTrsFgvkNuD1vsjf3rO/vV+Q9+wvGvKeE+3ZqVHXwmoopVSaPfVgGhN/e8/+9n5B3rO/8MR7lpnoQgghnCIJRAghhFMkgdRtntEBGMDf3rO/vV+Q9+wv3P6epQ9ECCGEU6QFIoQQwimSQOxwZdXgxkwp9apSar+lGvJnSqkWRsfkLkqpMUqpA5bqz88ZHY+7KaXilVLfKqX2KaX2KKWmGx2TJyilApVSO5RSy42OxVMsdQQ/tvwt71NKXe+O80gCqYeNqsGN2Sqgm9a6B3AQmGFwPG6hlAoE/om5AnQX4F6lVBdjo3K7CuA3WuvOwCDg137wngGmA/uMDsLD3gC+1lp3AnripvcvCaR+VVWD/aKzSGu9UmtdYXm4GXPZmMZoAHBYa31Ua10GfIi5GnSjpbU+rbXebvm5APOHSqMuSqqUigNuBd4xOhZPUUpFAjcA8wG01mVa6/PuOJckkDrUrBpsdCwGmQp8ZXQQbuLXFZ6VUklAb2CLsZG43WzMXwBNRgfiQR2AHGCB5dLdO0qppu44kbeVMvE4J6sG+7S63rPW+nPLPjMxX/JI9WRsHmR3hefGRikVAXwCPKm1vmh0PO6ilBoHZGut05VSI4yOx4OCgD7AE1rrLUqpN4DngBfccSK/5kzVYEvhR59l6z1XsSwZPA4YpRvvOG9blZ8bNaVUMObkkaq1/tToeNxsCDBeKTUWCAMilVKLtdb3GRyXu2UBWVrrqtblx5gTiMvJPBA7KaUygX5a60ZdkE0pNQZ4HRiutW60y9IppYIwDxIYBZzEXKjzf7TWewwNzI2U+ZvQQiBfa/2k0fF4kqUF8rTWepzRsXiCUmo98LDW+oBS6vdAU631M64+j9+3QMRV3gJCgVWWltdmrfUjxobkelrrCqXU45iXBQgE3m3MycNiCHA/8JNSaqdl2++01isMjEm4xxNAqlIqBDiKpbK5q0kLRAghhFNkFJYQQginSAIRQgjhFEkgQgghnCIJRAghhFMkgQghhHCKJBAhhBBOkQQihBDCKZJAhPAQpdRvlVL/z/Lz35VSay0/j1JKLTY2OiEcJwlECM/5Hhhm+bkfEGGpTTUUWG9YVEI4SRKIEJ6TDvRVSjUDSoEfMCeSYUgCET5IamEJ4SFa63JLUc4pwCZgFzASuAb/WzFPNALSAhHCs74HnrbcrwceAXY24rL5ohGTBCKEZ60H2gI/aK3PAiXI5Svho6QarxBCCKdIC0QIIYRTJIEIIYRwiiQQIYQQTpEEIoQQwimSQIQQQjhFEogQQginSAIRQgjhFEkgQgghnPL/AQAyOYjFy10FAAAAAElFTkSuQmCC
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<p>Other contributors: <a href="https://www.linkedin.com/in/michelleccarey/">Michelle Carey</a>, <a href="www.linkedin.com/in/jiahui-mavis-zhou-a4537814a">Mavis Zhou</a></p>

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<p>Copyright &copy; 2018 <a href="cognitiveclass.ai?utm_source=bducopyrightlink&utm_medium=dswb&utm_campaign=bdu">cognitiveclass.ai</a>. This notebook and its source code are released under the terms of the <a href="https://bigdatauniversity.com/mit-license/">MIT License</a>.</p>

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