Class_08_RCK.html

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

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

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

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

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

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

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<style type="text/css">
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<h1 id="Ramsey-Cass-Koopmans-(RCK)-model">Ramsey-Cass-Koopmans (RCK) model<a class="anchor-link" href="#Ramsey-Cass-Koopmans-(RCK)-model">&#182;</a></h1><p>The RCK model is an extension of the Solow-Swan model, pioneered by <a href="http://www.jstor.org/stable/2224098">Ramsey (1928)</a> and extended by <a href="http://www.jstor.org/stable/2295827">Cass (1965)</a> and <a href="http://cowles.yale.edu/sites/default/files/files/pub/d01/d0163.pdf">Koopmans (1965)</a>. Known also as the Neoclassical Growth Model, it is a "workhorse" of modern macroeconomics and forms the basis of the majority of modern works in economic growth and business cycles literature.</p>
<p>While in the OLG model there were an infinite number of agents (since in every new period a new generation entered the economy) and they had a finite time horizon, in the Ramsey model there is a finite number of agents with an infinite time horizon.</p>
<p>This can be justified by the following argument. In the (basic) OLG model parents are "selfish" and leave no assets to their children. However in the real world we see that at least some individuals leave sizeable bequests and support their children financially throughout their lives. This implies that parents care for their children's "utility".</p>
<p>In the RCK model it is assumed that parents care about their children as much as they care about themselves. Therefore, each household is in fact a "dynasty" of individuals with an infinite planning horizon, and the welfare function of a household is constructed as follows:</p>
\begin{align}
U = \sum_{t=0}^{\infty}\beta^{t}u\left(c_{t}\right)
\end{align}<p>where $\beta$ is a discount factor and $u\left(\cdot\right)$ is an instantaneous utility function (felicity function).</p>
<p>Usually the instantaneous utility function is represented by a Constant Relative Risk Aversion (CRRA) function:</p>
\begin{align}
u\left(c_{t}\right) = \frac{c_{t}^{1-\sigma}-1}{1-\sigma}
\end{align}<p>where $\sigma&gt;0$ regulates the degree of risk aversion.</p>
<p>We will first consider a RCK model with simplifying assumptions that yield an analytical solution, and then consider a general case.</p>

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<h3 id="Firms'-problem">Firms' problem<a class="anchor-link" href="#Firms'-problem">&#182;</a></h3><p>The problem of the firms will be the same for both simplified and general cases. The firms want to hire optimal quantities of labor and capital to maximize their profits:</p>
\begin{align}
\max\quad\Pi_{t}=K_{t}^{\alpha}\left(A_{t}L_{t}\right)^{1-\alpha}-w_{t}L_{t}-r_{t}^{k}K_{t}
\end{align}<p>First order conditions (FOCs):</p>
\begin{align}
\frac{\partial\Pi_{t}}{\partial L_{t}} &amp; =\left(1-\alpha\right)K_{t}^{\alpha}A_{t}^{1-\alpha}L_{t}^{-\alpha}-w_{t}=0\\
\frac{\partial\Pi_{t}}{\partial K_{t}} &amp; =\alpha K_{t}^{\alpha-1}\left(A_{t}L_{t}\right)^{1-\alpha}-r_{t}^{k}=0
\end{align}<p>Simplify the above expressions:</p>
\begin{align}
w_{t} &amp; =\left(1-\alpha\right)A_{t}\left(\frac{K_{t}}{A_{t}L_{t}}\right)^{\alpha}\\
r_{t}^{k} &amp; =\alpha\left(\frac{K_{t}}{A_{t}L_{t}}\right)^{\alpha-1}
\end{align}<p>The above equations determine both the wage $w$ and the capital rental rate $r^{k}$ as functions of capital (per effective labor). The real interest rate is equal to the capital rental rate, less the capital depreciation rate:</p>
\begin{align}
r_{t} &amp; =r_{t}^{k}-\delta
\end{align}
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Make graphs appear within the notebook</span>
<span class="o">%</span><span class="k">matplotlib</span> inline

<span class="c1"># Import numerical computations library</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>

<span class="c1"># Import plotting library</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="c1"># Import minimization function</span>
<span class="kn">from</span> <span class="nn">scipy.optimize</span> <span class="k">import</span> <span class="n">minimize</span>

<span class="c1"># Import functions from AppliedMacroPlots.py</span>
<span class="kn">from</span> <span class="nn">AppliedMacroPlots</span> <span class="k">import</span> <span class="o">*</span>
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<h2 id="Simplified-model">Simplified model<a class="anchor-link" href="#Simplified-model">&#182;</a></h2><h3 id="Households'-problem">Households' problem<a class="anchor-link" href="#Households'-problem">&#182;</a></h3><p>Let us now make the simplifying assumptions. There is no population and technology growth, and without loss of generality we can normalize $A=1$, so that capital per effective labor and capital per worker are equivalent. We will also assume total depreciation of capital ($\delta=1$) and that the instantaneous utility function is logarithmic.</p>
<p>The representative "dynasty" solves the following problem:</p>
\begin{align}
\max\quad &amp; U=\sum_{t=0}^{\infty}\beta^{t}\log c_{t}\\
\text{subject to}\quad &amp; c_{t}+a_{t+1}=w_{t}+\left(1+r_{t}\right)a_{t}
\end{align}<p>Write down the Lagrangian:</p>
\begin{align}
\mathcal{L}=\sum_{t=0}^{\infty}\beta^{t}\log c_{t}+\sum_{t=0}^{\infty}\lambda_{t}\left[w_{t}+\left(1+r_{t}\right)a_{t}-c_{t}-a_{t+1}\right]
\end{align}<p>Note that we have an infinity of time periods and Lagrange multipliers. Rewrite the Lagrangian so that it is easier to take derivatives:</p>
\begin{align}
\mathcal{L} &amp; =\ldots+\beta^{t}\log c_{t}+\ldots\\
 &amp; \quad+\ldots+\lambda_{t}\left[w_{t}+\left(1+r_{t}\right)a_{t}-c_{t}-a_{t+1}\right]\\
 &amp; \quad+\lambda_{t+1}\left[w_{t+1}+\left(1+r_{t+1}\right)a_{t+1}-c_{t+1}-a_{t+2}\right]+\ldots
\end{align}<p>In each period $t$ we can choose period $t$ consumption $c_{t}$ and end-of-period $t$ assets $a_{t+1}$.</p>
<p>First order conditions (FOCs):</p>
\begin{align}
\frac{\partial\mathcal{L}}{\partial c_{t}} &amp; =\beta^{t}\frac{1}{c_{t}}+\lambda_{t}\left[-1\right]=0\\
\frac{\partial\mathcal{L}}{\partial a_{t+1}} &amp; =\lambda_{t}\left[-1\right]+\lambda_{t+1}\left[\left(1+r_{t+1}\right)\right]=0
\end{align}<p>Simplify and rewrite:</p>
\begin{align}
\lambda_{t} &amp; =\beta^{t}\frac{1}{c_{t}}\\
\lambda_{t} &amp; =\left(1+r_{t+1}\right)\lambda_{t+1}
\end{align}<p>Join conditions:</p>
\begin{align}
\beta^{t}\frac{1}{c_{t}} &amp; =\left(1+r_{t+1}\right)\beta^{t+1}\frac{1}{c_{t+1}}\\
\frac{1}{c_{t}} &amp; =\left(1+r_{t+1}\right)\beta\frac{1}{c_{t+1}}\\
c_{t+1} &amp; =\beta\left(1+r_{t+1}\right)c_{t}
\end{align}<p>We have obtained the standard Euler equation.</p>
<p>The optimal behavior of the households can then be restated as:</p>
\begin{align}
c_{t+1} &amp; =\beta\left(1+r_{t+1}\right)c_{t}\\
c_{t}+a_{t+1} &amp; =w_{t}+\left(1+r_{t}\right)a_{t}
\end{align}<p>And after some algebra the optimal consumpion in period $t$ can be expressed as:</p>
\begin{align}
c_{t}=\frac{1}{1-\beta}\left[\left(1+r_{t}\right)a_{t}+\sum_{i=0}^{\infty}\frac{w_{t+i}}{1+\bar{r}_{t+i}}\right]
\end{align}<p>where:</p>
\begin{align}
1+\bar{r}_{t+i}=\begin{cases}
1 &amp; \text{for }i=0\\
\left(1+r_{t+1}\right)\cdot\ldots\cdot\left(1+r_{t+i}\right) &amp; \text{for }i=1,2,\ldots
\end{cases}
\end{align}<p>As you can see, the optimal behavior of households requires them to formulate accurate forecasts of prices $w$ and $r$.</p>

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<h3 id="General-Equilibrium">General Equilibrium<a class="anchor-link" href="#General-Equilibrium">&#182;</a></h3><p>The above solution of the households' problem is still relatively general, as we haven't made full use of our simplifying assumptions yet. Consider now the general equilibrium, where all markets clear.</p>
<p>Since there is no government and no international trade, domestic capital is the only asset which can be in positive net supply:</p>
\begin{align}
a_{t} = k_{t} \quad \text{for all } t
\end{align}<p>And the budget constraint of the households can be rewritten as:</p>
\begin{align}
c_{t}+a_{t+1} &amp; =w_{t}+\left(1+r_{t}\right)a_{t} \\
c_{t}+k_{t+1}&amp;=w_{t}+\left(1+r_{t}\right)k_{t}
\end{align}<p>We can also use the expressions for prices (recall that $A=1$ and $\delta=1$):</p>
\begin{align}
w_{t} &amp; =\left(1-\alpha\right)A_{t}\left(\frac{K_{t}}{A_{t}L_{t}}\right)^{\alpha}=\left(1-\alpha\right)k_{t}^{\alpha}\\
r_{t}^{k} &amp; =\alpha\left(\frac{K_{t}}{A_{t}L_{t}}\right)^{\alpha-1}=\alpha k_{t}^{\alpha-1}\\
r_{t} &amp; =r_{t}^{k}-\delta=\alpha k_{t}^{\alpha-1}-1
\end{align}<p>And plug them into the budget constraint:</p>
\begin{align}
c_{t}+k_{t+1} &amp; =\left(1-\alpha\right)k_{t}^{\alpha}+\left(1+\alpha k_{t}^{\alpha-1}-1\right)k_{t}\\
c_{t}+k_{t+1} &amp; =\left(1-\alpha\right)k_{t}^{\alpha}+\alpha k_{t}^{\alpha}\\
c_{t}+k_{t+1} &amp; =k_{t}^{\alpha}
\end{align}<h3 id="Solution">Solution<a class="anchor-link" href="#Solution">&#182;</a></h3><p>Finally, let us guess-and-verify that this economy behaves as a Solow-Swan economy, and the households save a constant fraction $s$ of their income:</p>
\begin{align}
k_{t+1} &amp; =sy_{t}=s\cdot k_{t}^{\alpha}\\
c_{t} &amp; =\left(1-s\right)y_{t}=\left(1-s\right)\cdot k_{t}^{\alpha}
\end{align}<p>Use the Euler equation:</p>
\begin{align}
c_{t+1} &amp; =\beta\left(1+r_{t+1}\right)c_{t}\\
c_{t+1} &amp; =\beta\alpha k_{t+1}^{\alpha-1}c_{t}\\
\left(1-s\right)\cdot k_{t+1}^{\alpha} &amp; =\beta\alpha k_{t+1}^{\alpha-1}\left(1-s\right)\cdot k_{t}^{\alpha}\\
k_{t+1} &amp; =\beta\alpha\cdot k_{t}^{\alpha}
\end{align}<p>Indeed, the saving rate is a constant:</p>
\begin{align}
s=\alpha\beta
\end{align}<p>Note that $\partial s / \partial \beta &gt; 0$ and that $s \leq \alpha = s_{GR}$, with equality when $\beta=1$ (households care just as much about the future and the present). This implies that the RCK economy is never dynamically inefficient.</p>
<p>Under our assumptions, we can obtain an analytical, closed form solution (no need to forecast prices!) of the RCK model:</p>
\begin{align}
c_{t} &amp; =\left(1-\alpha\beta\right)\cdot k_{t}^{\alpha}\\
k_{t+1} &amp; =\alpha\beta\cdot k_{t}^{\alpha}
\end{align}<p>Finally, let us find the steady state of the model:</p>
\begin{align}
k^{*} &amp; =\alpha\beta\left(k^{*}\right)^{\alpha}\\
\left(k^{*}\right)^{1-\alpha} &amp; =\alpha\beta\\
k^{*} &amp; =\left(\alpha\beta\right)^{1/\left(1-\alpha\right)}\\
c^{*} &amp; =\left(1-\alpha\beta\right)\cdot \left(\alpha\beta\right)^{\alpha/\left(1-\alpha\right)}
\end{align}<p>The first plot below illustrates the process of convergence to the steady state over time. Note that since $\delta=1$, the convergence is very fast.</p>
<p>The second plot is a new type of plot, called a phase diagram, and will illustrate the convergence to the steady state in the $(k, c)$ space.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Parameters</span>
<span class="n">α</span> <span class="o">=</span> <span class="mf">0.33</span>
<span class="n">β</span> <span class="o">=</span> <span class="mf">0.96</span>
<span class="n">δ</span> <span class="o">=</span> <span class="mi">1</span>

<span class="c1"># Steady state</span>
<span class="n">k_star</span> <span class="o">=</span> <span class="p">(</span><span class="n">α</span><span class="o">*</span><span class="n">β</span><span class="p">)</span><span class="o">**</span><span class="p">(</span><span class="mi">1</span><span class="o">/</span><span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">α</span><span class="p">))</span>
<span class="n">c_star</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">α</span><span class="o">*</span><span class="n">β</span><span class="p">)</span> <span class="o">*</span> <span class="n">k_star</span><span class="o">**</span><span class="n">α</span>

<span class="c1"># Number of periods</span>
<span class="n">T</span> <span class="o">=</span> <span class="mi">10</span><span class="o">+</span><span class="mi">1</span>

<span class="n">k_t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">T</span><span class="p">)</span>
<span class="n">c_t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">T</span><span class="p">)</span>

<span class="c1"># Initial level of capital per worker</span>
<span class="n">k_0</span> <span class="o">=</span> <span class="n">k_star</span><span class="o">/</span><span class="mi">20</span>

<span class="c1"># Solving the model forward</span>
<span class="n">k_t</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">k_0</span>
<span class="n">c_t</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">α</span><span class="o">*</span><span class="n">β</span><span class="p">)</span> <span class="o">*</span> <span class="n">k_0</span><span class="o">**</span><span class="n">α</span>

<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">T</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
    <span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">α</span><span class="o">*</span><span class="n">β</span> <span class="o">*</span> <span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="p">]</span><span class="o">**</span><span class="n">α</span>
    <span class="n">c_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">α</span><span class="o">*</span><span class="n">β</span><span class="p">)</span> <span class="o">*</span> <span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span><span class="o">**</span><span class="n">α</span>

<span class="c1"># Store results for future use</span>
<span class="n">k_simple</span><span class="p">,</span> <span class="n">c_simple</span> <span class="o">=</span> <span class="n">k_t</span><span class="p">,</span> <span class="n">c_t</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Convergence plot</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">k_t</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$k$&#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">c_t</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$c$&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">hlines</span><span class="p">(</span><span class="n">k_star</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="n">T</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;C0&#39;</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">linestyle</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hlines</span><span class="p">(</span><span class="n">c_star</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="n">T</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;C1&#39;</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">linestyle</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Convergence to steady state over time&#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;Period&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;lower right&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">savefig</span><span class="p">(</span><span class="s1">&#39;RCK_trans.pdf&#39;</span><span class="p">,</span> <span class="n">transparent</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span> <span class="c1">#, bbox_inches=&#39;tight&#39;, pad_inches=0.05)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Phase diagram</span>

<span class="n">kk</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">k_star</span><span class="p">,</span> <span class="mi">1000</span><span class="p">)</span>
<span class="n">cc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">c_star</span><span class="p">,</span> <span class="mi">1000</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">kk</span><span class="p">,</span> <span class="n">kk</span><span class="o">**</span><span class="n">α</span> <span class="o">-</span> <span class="n">δ</span><span class="o">*</span><span class="n">kk</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$k_{t+1}=k_</span><span class="si">{t}</span><span class="s1">$&#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">kk</span><span class="o">**</span><span class="mi">0</span> <span class="o">*</span> <span class="n">k_star</span><span class="p">,</span> <span class="n">cc</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$c_{t+1}=c_</span><span class="si">{t}</span><span class="s1">$&#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">k_star</span><span class="p">,</span> <span class="n">c_star</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;Steady state&#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">k_t</span><span class="p">,</span> <span class="n">c_t</span><span class="p">,</span> <span class="s1">&#39;k-&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;Saddle path&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Phase diagram of the RCK model&#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;Capital per worker $k$&#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;Consumption per worker $c$&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;lower right&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Phase diagram</span>

<span class="n">kk</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">k_star</span><span class="p">,</span> <span class="mi">1000</span><span class="p">)</span>
<span class="n">cc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">c_star</span><span class="p">,</span> <span class="mi">1000</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">kk</span><span class="p">,</span> <span class="n">kk</span><span class="o">**</span><span class="n">α</span> <span class="o">-</span> <span class="n">δ</span><span class="o">*</span><span class="n">kk</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$k_{t+1}=k_</span><span class="si">{t}</span><span class="s1">$&#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">kk</span><span class="o">**</span><span class="mi">0</span> <span class="o">*</span> <span class="n">k_star</span><span class="p">,</span> <span class="n">cc</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$c_{t+1}=c_</span><span class="si">{t}</span><span class="s1">$&#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">k_star</span><span class="p">,</span> <span class="n">c_star</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;Steady state&#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">kk</span><span class="p">,</span> <span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">α</span><span class="o">*</span><span class="n">β</span><span class="p">)</span><span class="o">*</span><span class="n">kk</span><span class="o">**</span><span class="n">α</span><span class="p">,</span> <span class="s1">&#39;k-&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;Saddle path&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Phase diagram of the RCK model&#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;Capital per worker $k$&#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;Consumption per worker $c$&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;lower right&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">xticks</span><span class="p">([])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">yticks</span><span class="p">([])</span>

<span class="n">plt</span><span class="o">.</span><span class="n">savefig</span><span class="p">(</span><span class="s1">&#39;RCK_simple.pdf&#39;</span><span class="p">,</span> <span class="n">transparent</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span> <span class="c1">#, bbox_inches=&#39;tight&#39;, pad_inches=0.05)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>The phase diagram shows a number of conditions.</p>
<p>The first one, $k_{t+1}=k_{t}$, describes a set of combinations of $k$ and $c$ for which capital per worker does not change over time. We can find them via the budget/resource constraint:</p>
\begin{align}
c_{t}+k_{t+1} &amp; =k_{t}^{\alpha}\\
c_{t} &amp;= k_{t}^{\alpha} - k_{t+1}
\end{align}<p>If $k_{t+1}=k_{t}=k$:</p>
\begin{align}
c = k^{\alpha} - k
\end{align}<p>The second condition, $c_{t+1}=c_{t}$, describes a set of combinations of $k$ and $c$ for which consumption per worker does not change over time. We can find them via the Euler equation:</p>
\begin{align}
c_{t+1} &amp; =\beta\left(1+r_{t+1}\right)c_{t}\\
1 &amp;= \beta\left(1+r_{t+1}\right)\\
r_{t+1} &amp;= \frac{1}{\beta} - 1\\
\alpha k_{t+1}^{\alpha-1}-1  &amp;= \frac{1}{\beta} - 1 \\
k_{t+1}^{\alpha-1} &amp;= \frac{1}{\alpha\beta}\\
k_{t+1} &amp;= \left(\alpha\beta\right)^{1/\left(1-\alpha\right)} = k^{*}\\
\end{align}<p>That means that when the capital per worker is at its steady state level, $c_{t+1}=c_{t}$ for all $c$.</p>
<p>Obviously, the intersection of $k_{t+1}=k_{t}$ and $c_{t+1}=c_{t}$ is by definition the steady state of the model.</p>
<p>Finally, the "saddle path" is our model's solution. Importantly, there is only one path that leads from any possible level of capital per worker $k$ to the steady state. This guarantees that the model has a unique solution.</p>

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<h2 id="Neoclassical-Growth-Model">Neoclassical Growth Model<a class="anchor-link" href="#Neoclassical-Growth-Model">&#182;</a></h2><p>We now turn to analyzing the full RCK/NGM model. Population grows at rate $n$, while technology improves at rate $g$. The firms' problem is the same as before. What is a bit different is the households' problem.</p>
<h3 id="Households'-problem">Households' problem<a class="anchor-link" href="#Households'-problem">&#182;</a></h3><p>The representative "dynasty" solves the following problem:</p>
\begin{align}
\max\quad &amp; U=\sum_{t=0}^{\infty}\beta^{t}\cdot\frac{c_{t}^{1-\sigma}-1}{1-\sigma}\\
\text{subject to}\quad &amp; c_{t}+\left(1+n\right)a_{t+1}=w_{t}+\left(1+r_{t}\right)a_{t}
\end{align}<p>Lagrangian:</p>
\begin{align}
\mathcal{L}=\sum_{t=0}^{\infty}\beta^{t}\cdot\frac{c_{t}^{1-\sigma}-1}{1-\sigma}+\sum_{t=0}^{\infty}\lambda_{t}\left[w_{t}+\left(1+r_{t}\right)a_{t}-c_{t}-\left(1+n\right)a_{t+1}\right]
\end{align}<p>Expand the Lagrangian:</p>
\begin{align}
\mathcal{L} &amp; =\ldots+\beta^{t}\cdot\frac{c_{t}^{1-\sigma}-1}{1-\sigma}+\ldots\\
 &amp; \quad+\ldots+\lambda_{t}\left[w_{t}+\left(1+r_{t}\right)a_{t}-c_{t}-\left(1+n\right)a_{t+1}\right]\\
 &amp; \quad+\lambda_{t+1}\left[w_{t+1}+\left(1+r_{t+1}\right)a_{t+1}-c_{t+1}-\left(1+n\right)a_{t+2}\right]+\ldots
\end{align}<p>First order conditions (FOCs):</p>
\begin{align}
\frac{\partial\mathcal{L}}{\partial c_{t}} &amp; =\beta^{t}c_{t}^{-\sigma}+\lambda_{t}\left[-1\right]=0\\
\frac{\partial\mathcal{L}}{\partial a_{t+1}} &amp; =\lambda_{t}\left[-\left(1+n\right)\right]+\lambda_{t+1}\left[\left(1+r_{t+1}\right)\right]=0
\end{align}<p>Simplify and rewrite:</p>
\begin{align}
\lambda_{t} &amp; =\beta^{t}c_{t}^{-\sigma}\\
\left(1+n\right)\lambda_{t} &amp; =\left(1+r_{t+1}\right)\lambda_{t+1}
\end{align}<p>Join conditions:</p>
\begin{align}
\left(1+n\right)\beta^{t}c_{t}^{-\sigma} &amp; =\left(1+r_{t+1}\right)\beta^{t+1}c_{t+1}^{-\sigma}\\
c_{t}^{-\sigma} &amp; =\frac{1+r_{t+1}}{1+n}\beta c_{t+1}^{-\sigma}\\
\left(\frac{c_{t+1}}{c_{t}}\right)^{\sigma} &amp; =\beta\frac{1+r_{t+1}}{1+n}\\
\frac{c_{t+1}}{c_{t}} &amp; =\left(\beta\frac{1+r_{t+1}}{1+n}\right)^{1/\sigma}\\
c_{t+1} &amp; =\left(\beta\frac{1+r_{t+1}}{1+n}\right)^{1/\sigma}c_{t}
\end{align}<p>We have obtained the Euler equation. Note that if $n=0$ and $\sigma=1$, we go back to our usual form of Euler equation.</p>

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<h3 id="General-Equilibrium">General Equilibrium<a class="anchor-link" href="#General-Equilibrium">&#182;</a></h3><p>Again, since there is no government and no international trade, domestic capital is the only asset which can be in positive net supply:</p>
\begin{align}
a_{t} = k_{t} \quad \text{for all } t
\end{align}<p>And the budget constraint of the households can be rewritten as:</p>
\begin{align}
c_{t}+\left(1+n\right)a_{t+1} &amp; =w_{t}+\left(1+r_{t}\right)a_{t} \\
c_{t}+\left(1+n\right)k_{t+1}&amp;=w_{t}+\left(1+r_{t}\right)k_{t}
\end{align}<p>We can also use the expressions for prices (but this time technology improves over time, so we make use of per effective labor variables):</p>
\begin{align}
w_{t} &amp; =\left(1-\alpha\right)A_{t}\left(\frac{K_{t}}{A_{t}L_{t}}\right)^{\alpha}=\left(1-\alpha\right)A_{t}\hat{k}_{t}^{\alpha}\\
r_{t}^{k} &amp; =\alpha\left(\frac{K_{t}}{A_{t}L_{t}}\right)^{\alpha-1}=\alpha \hat{k}_{t}^{\alpha-1}\\
r_{t} &amp; =r_{t}^{k}-\delta=\alpha \hat{k}_{t}^{\alpha-1}-\delta
\end{align}<p>And plug them into the budget constraint:</p>
\begin{align}
c_{t}+\left(1+n\right)k_{t+1} &amp; =\left(1-\alpha\right)A_{t}\hat{k}_{t}^{\alpha}+(1+\alpha\hat{k}_{t}^{\alpha-1}-\delta)k_{t}\quad|\quad:A_{t}\\
\hat{c}_{t}+\left(1+n\right)\frac{k_{t+1}}{A_{t}} &amp; =\left(1-\alpha\right)\hat{k}_{t}^{\alpha}+(1+\alpha\hat{k}_{t}^{\alpha-1}-\delta)\hat{k}_{t}\\
\hat{c}_{t}+\left(1+n\right)\frac{A_{t+1}}{A_{t}}\frac{k_{t+1}}{A_{t+1}} &amp; =\left(1-\alpha\right)\hat{k}_{t}^{\alpha}+\alpha\hat{k}_{t}^{\alpha}+\left(1-\delta\right)\hat{k}_{t}\\
\left(1+n\right)\left(1+g\right)\hat{k}_{t+1} &amp; =\hat{k}_{t}^{\alpha}-\hat{c}_{t}+\left(1-\delta\right)\hat{k}_{t}\\
\hat{k}_{t+1} &amp; =\frac{\hat{k}_{t}^{\alpha}-\hat{c}_{t}+\left(1-\delta\right)\hat{k}_{t}}{\left(1+n\right)\left(1+g\right)}
\end{align}<p>The $\hat{k}_{t}^{\alpha}-\hat{c}_{t}$ part represents gross investment, and is the analogue of $s\cdot\hat{k}_{t}^{\alpha}$ in the Solow-Swan and OLG models.</p>
<p>Plug in the interest rate into the Euler equation and rewrite it in per effective labor terms:</p>
\begin{align}
c_{t+1} &amp; =\left(\beta\frac{1+r_{t+1}}{1+n}\right)^{1/\sigma}c_{t}\quad|\quad:A_{t}\\
\frac{c_{t+1}}{A_{t}} &amp; =\left(\beta\frac{1+\alpha\hat{k}_{t+1}^{\alpha-1}-\delta}{1+n}\right)^{1/\sigma}\frac{c_{t}}{A_{t}}\\
\frac{A_{t+1}}{A_{t}}\frac{c_{t+1}}{A_{t+1}} &amp; =\left(\beta\frac{1+\alpha\hat{k}_{t+1}^{\alpha-1}-\delta}{1+n}\right)^{1/\sigma}\hat{c}_{t}\\
\left(1+g\right)\hat{c}_{t+1} &amp; =\left(\beta\frac{1+\alpha\hat{k}_{t+1}^{\alpha-1}-\delta}{1+n}\right)^{1/\sigma}\hat{c}_{t}\\
\hat{c}_{t+1} &amp; =\left(\beta\frac{1+\alpha\hat{k}_{t+1}^{\alpha-1}-\delta}{1+n}\right)^{1/\sigma}\frac{\hat{c}_{t}}{\left(1+g\right)}
\end{align}
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<h3 id="Steady-state">Steady state<a class="anchor-link" href="#Steady-state">&#182;</a></h3><p>If $\hat{c}_{t+1}=\hat{c}_{t}$, then:</p>
\begin{align}
\left(1+g\right) &amp; =\left(\beta\frac{1+\alpha\hat{k}_{t+1}^{\alpha-1}-\delta}{1+n}\right)^{1/\sigma}\\
\left(1+g\right)^{\sigma} &amp; =\beta\frac{1+\alpha\hat{k}_{t+1}^{\alpha-1}-\delta}{1+n}\\
\frac{\left(1+g\right)^{\sigma}\left(1+n\right)}{\beta} &amp; =1+\alpha\hat{k}_{t+1}^{\alpha-1}-\delta\\
\alpha\hat{k}_{t+1}^{\alpha-1} &amp; =\frac{\left(1+g\right)^{\sigma}\left(1+n\right)}{\beta}-\left(1-\delta\right)\\
\hat{k}_{t+1}^{\alpha-1} &amp; =\frac{\left(1+g\right)^{\sigma}\left(1+n\right)-\beta\left(1-\delta\right)}{\alpha\beta}\\
\hat{k}^{*} &amp; =\left[\frac{\alpha\beta}{\left(1+g\right)^{\sigma}\left(1+n\right)-\beta\left(1-\delta\right)}\right]^{1/\left(1-\alpha\right)}
\end{align}<p>Note that if $\beta=1$ and $\sigma=1$, then we can express $\hat{k}^{*}$ as:</p>
\begin{align}
\hat{k}^{*}=\left[\frac{\alpha}{\left(1+g\right)\left(1+n\right)-\left(1-\delta\right)}\right]^{1/\left(1-\alpha\right)}=\left[\frac{\alpha}{\delta+n+g+ng}\right]^{1/\left(1-\alpha\right)}
\end{align}<p>which is equivalent to the Solow-Swan model solution, given that the saving rate is at its golden rule level.</p>
<p>If $\hat{k}_{t+1}=\hat{k}_{t}=\hat{k}$, then:</p>
\begin{align}
\left(1+n\right)\left(1+g\right)\hat{k}_{t+1} &amp; =\hat{k}_{t}^{\alpha}-\hat{c}_{t}+\left(1-\delta\right)\hat{k}_{t}\\
\left(1+n\right)\left(1+g\right)\hat{k} &amp; =\hat{k}^{\alpha}-\hat{c}+\left(1-\delta\right)\hat{k}
\end{align}\begin{align}
\hat{c} &amp; =\hat{k}^{\alpha}+\left(1-\delta\right)\hat{k}-\left(1+n\right)\left(1+g\right)\hat{k}\\
\hat{c} &amp; =\hat{k}^{\alpha}-\left(\delta+n+g+ng\right)\hat{k}
\end{align}<p>And the steady state level of consumption per effective labor is given by:</p>
\begin{align}
\hat{c}^{*} &amp; =(\hat{k}^{*})^{\alpha}-\left(\delta+n+g+ng\right)\hat{k}^{*}\\
\end{align}
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<h3 id="Transition-(saddle)-path">Transition (saddle) path<a class="anchor-link" href="#Transition-(saddle)-path">&#182;</a></h3><p>Along the transition to the steady state, the model variables have to obey the following conditions:</p>
\begin{align}
\hat{k}_{t+1} &amp; =\frac{\hat{k}_{t}^{\alpha}-\hat{c}_{t}+\left(1-\delta\right)\hat{k}_{t}}{\left(1+n\right)\left(1+g\right)}\\
\hat{c}_{t+1} &amp; =\left(\beta\frac{1+\alpha\hat{k}_{t+1}^{\alpha-1}-\delta}{1+n}\right)^{1/\sigma}\frac{\hat{c}_{t}}{\left(1+g\right)}
\end{align}<p>Solving the RCK model is equivalent to finding, for some initial level of capital per effective labor $\hat{k}_{0}$, such $\hat{c}_{0}$ that the above forward equations bring $\hat{k}$ and $\hat{c}$ to the steady state.</p>
<p>We will solve the model by the shooting algorithm. We will try different values of $\hat{c}_{0}$ and see whether they are too high or too low.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Define needed functions</span>

<span class="k">def</span> <span class="nf">ProductionFunction</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">params</span><span class="p">):</span>
    <span class="n">α</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;α&#39;</span><span class="p">]</span>
    <span class="k">return</span> <span class="n">k</span><span class="o">**</span><span class="n">α</span>

<span class="k">def</span> <span class="nf">InterestRate</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">params</span><span class="p">):</span>
    <span class="n">α</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;α&#39;</span><span class="p">]</span>
    <span class="n">δ</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;δ&#39;</span><span class="p">]</span>
    <span class="k">return</span> <span class="n">α</span><span class="o">*</span><span class="n">k</span><span class="o">**</span><span class="p">(</span><span class="n">α</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span> <span class="o">-</span> <span class="n">δ</span>
    
<span class="k">def</span> <span class="nf">SteadyState</span><span class="p">(</span><span class="n">params</span><span class="p">):</span>
    <span class="n">α</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;α&#39;</span><span class="p">]</span>
    <span class="n">δ</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;δ&#39;</span><span class="p">]</span>
    <span class="n">n</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;n&#39;</span><span class="p">]</span>
    <span class="n">g</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;g&#39;</span><span class="p">]</span>
    <span class="n">β</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;β&#39;</span><span class="p">]</span>
    <span class="n">σ</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;σ&#39;</span><span class="p">]</span>
    
    <span class="n">r_star</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">n</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">g</span><span class="p">)</span><span class="o">**</span><span class="n">σ</span> <span class="o">/</span> <span class="n">β</span> <span class="o">-</span> <span class="mi">1</span>
    <span class="n">k_star</span> <span class="o">=</span> <span class="p">(</span><span class="n">α</span><span class="o">/</span><span class="p">(</span><span class="n">r_star</span><span class="o">+</span><span class="n">δ</span><span class="p">))</span><span class="o">**</span><span class="p">(</span><span class="mi">1</span><span class="o">/</span><span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">α</span><span class="p">))</span>
    <span class="n">c_star</span> <span class="o">=</span> <span class="n">ProductionFunction</span><span class="p">(</span><span class="n">k_star</span><span class="p">,</span> <span class="n">params</span><span class="p">)</span> <span class="o">-</span> <span class="p">(</span><span class="n">δ</span><span class="o">+</span><span class="n">n</span><span class="o">+</span><span class="n">g</span><span class="o">+</span><span class="n">n</span><span class="o">*</span><span class="n">g</span><span class="p">)</span><span class="o">*</span><span class="n">k_star</span>
    
    <span class="k">return</span> <span class="n">k_star</span><span class="p">,</span> <span class="n">c_star</span>

<span class="k">def</span> <span class="nf">ResourceConstraint</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">params</span><span class="p">):</span>
    <span class="n">α</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;α&#39;</span><span class="p">]</span>
    <span class="n">δ</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;δ&#39;</span><span class="p">]</span>
    <span class="n">n</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;n&#39;</span><span class="p">]</span>
    <span class="n">g</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;g&#39;</span><span class="p">]</span>
    
    <span class="k">return</span> <span class="p">(</span><span class="n">ProductionFunction</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">params</span><span class="p">)</span> <span class="o">+</span> <span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">δ</span><span class="p">)</span><span class="o">*</span><span class="n">k</span> <span class="o">-</span> <span class="n">c</span><span class="p">)</span><span class="o">/</span><span class="p">((</span><span class="mi">1</span><span class="o">+</span><span class="n">n</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">g</span><span class="p">))</span>

<span class="k">def</span> <span class="nf">EulerEquation</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">params</span><span class="p">):</span>
    <span class="n">n</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;n&#39;</span><span class="p">]</span>
    <span class="n">g</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;g&#39;</span><span class="p">]</span>
    <span class="n">β</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;β&#39;</span><span class="p">]</span>
    <span class="n">σ</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;σ&#39;</span><span class="p">]</span>
    
    <span class="n">k_next</span> <span class="o">=</span> <span class="n">ResourceConstraint</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">params</span><span class="p">)</span>
    
    <span class="k">if</span> <span class="n">k_next</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
        <span class="n">r</span> <span class="o">=</span> <span class="n">InterestRate</span><span class="p">(</span><span class="n">k_next</span><span class="p">,</span> <span class="n">params</span><span class="p">)</span>
        <span class="n">c_next</span> <span class="o">=</span> <span class="p">(</span><span class="n">β</span><span class="o">*</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">r</span><span class="p">)</span><span class="o">/</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">n</span><span class="p">))</span><span class="o">**</span><span class="p">(</span><span class="mi">1</span><span class="o">/</span><span class="n">σ</span><span class="p">)</span> <span class="o">*</span> <span class="n">c</span> <span class="o">/</span> <span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">g</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">c_next</span>
    <span class="k">else</span><span class="p">:</span>
        <span class="k">return</span> <span class="mi">0</span>

<span class="k">def</span> <span class="nf">Constant_k</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">params</span><span class="p">):</span>
    <span class="n">δ</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;δ&#39;</span><span class="p">]</span>
    <span class="n">n</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;n&#39;</span><span class="p">]</span>
    <span class="n">g</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;g&#39;</span><span class="p">]</span>
    
    <span class="k">return</span> <span class="n">ProductionFunction</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">params</span><span class="p">)</span> <span class="o">-</span> <span class="p">(</span><span class="n">δ</span><span class="o">+</span><span class="n">n</span><span class="o">+</span><span class="n">g</span><span class="o">+</span><span class="n">n</span><span class="o">*</span><span class="n">g</span><span class="p">)</span><span class="o">*</span><span class="n">k</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Parameters</span>
<span class="n">params</span> <span class="o">=</span> <span class="p">{</span><span class="s1">&#39;α&#39;</span><span class="p">:</span><span class="mf">0.33</span><span class="p">,</span> <span class="s1">&#39;δ&#39;</span><span class="p">:</span><span class="mf">0.1</span><span class="p">,</span> <span class="s1">&#39;n&#39;</span><span class="p">:</span><span class="mf">0.01</span><span class="p">,</span> <span class="s1">&#39;g&#39;</span><span class="p">:</span><span class="mf">0.02</span><span class="p">,</span> <span class="s1">&#39;σ&#39;</span><span class="p">:</span><span class="mi">2</span><span class="p">,</span> <span class="s1">&#39;β&#39;</span><span class="p">:</span><span class="mf">0.96</span><span class="p">}</span>

<span class="c1"># Steady state</span>
<span class="nb">print</span><span class="p">(</span><span class="n">SteadyState</span><span class="p">(</span><span class="n">params</span><span class="p">))</span>
<span class="n">k_star</span><span class="p">,</span> <span class="n">c_star</span> <span class="o">=</span> <span class="n">SteadyState</span><span class="p">(</span><span class="n">params</span><span class="p">)</span>
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<pre>(2.1998170781123654, 1.0107259548758)
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Forward equations and convergence criterion</span>

<span class="k">def</span> <span class="nf">Path</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</span><span class="p">,</span> <span class="n">T</span><span class="o">=</span><span class="mi">100</span><span class="p">):</span>
    
    <span class="n">T</span> <span class="o">+=</span> <span class="mi">1</span>
    
    <span class="n">k_t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">T</span><span class="p">)</span>
    <span class="n">c_t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">T</span><span class="p">)</span>
    
    <span class="n">k_t</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">k_0</span>
    <span class="n">c_t</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">c_0</span>
    
    <span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">T</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
        <span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">ResourceConstraint</span><span class="p">(</span><span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="p">],</span> <span class="n">c_t</span><span class="p">[</span><span class="n">t</span><span class="p">],</span> <span class="n">params</span><span class="p">)</span>
        <span class="k">if</span> <span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
            <span class="n">c_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">EulerEquation</span><span class="p">(</span><span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="p">],</span> <span class="n">c_t</span><span class="p">[</span><span class="n">t</span><span class="p">],</span> <span class="n">params</span><span class="p">)</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
            <span class="n">c_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
            
    <span class="k">return</span> <span class="n">k_t</span><span class="p">,</span> <span class="n">c_t</span>

<span class="k">def</span> <span class="nf">Path_crit</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</span><span class="p">,</span> <span class="n">T</span><span class="o">=</span><span class="mi">100</span><span class="p">):</span>
    
    <span class="n">k_t</span><span class="p">,</span> <span class="n">c_t</span> <span class="o">=</span> <span class="n">Path</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</span><span class="p">,</span> <span class="n">T</span><span class="p">)</span>
    <span class="n">k_star</span><span class="p">,</span> <span class="n">c_star</span> <span class="o">=</span> <span class="n">SteadyState</span><span class="p">(</span><span class="n">params</span><span class="p">)</span>
    
    <span class="n">ss_diff</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">((</span><span class="n">k_t</span><span class="o">-</span><span class="n">k_star</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="p">(</span><span class="n">c_t</span><span class="o">-</span><span class="n">c_star</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
    
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">ss_diff</span><span class="p">)</span> <span class="o">+</span> <span class="n">ss_diff</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
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<p>Below we will make attempts to target the steady state, but in the first case the initial guess will be too low and in the second too high.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">k_0</span> <span class="o">=</span> <span class="n">k_star</span> <span class="o">/</span> <span class="mi">20</span>
<span class="n">c_0</span> <span class="o">=</span> <span class="mf">0.34</span>

<span class="n">k_t</span><span class="p">,</span> <span class="n">c_t</span> <span class="o">=</span> <span class="n">Path</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</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">k_t</span><span class="p">,</span> <span class="n">c_t</span><span class="p">,</span> <span class="s1">&#39;ko-&#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">k_star</span><span class="p">,</span> <span class="n">c_star</span><span class="p">,</span> <span class="s1">&#39;ro&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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
"
>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[10]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">k_0</span> <span class="o">=</span> <span class="n">k_star</span> <span class="o">/</span> <span class="mi">20</span>
<span class="n">c_0</span> <span class="o">=</span> <span class="mf">0.35</span>

<span class="n">k_t</span><span class="p">,</span> <span class="n">c_t</span> <span class="o">=</span> <span class="n">Path</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</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">k_t</span><span class="p">,</span> <span class="n">c_t</span><span class="p">,</span> <span class="s1">&#39;ko-&#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">k_star</span><span class="p">,</span> <span class="n">c_star</span><span class="p">,</span> <span class="s1">&#39;ro&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Confirm that convergence criterion attains minimum in the chosen range</span>

<span class="n">cc_0</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mf">0.34</span><span class="p">,</span> <span class="mf">0.345</span><span class="p">)</span>

<span class="k">for</span> <span class="n">c_0</span> <span class="ow">in</span> <span class="n">cc_0</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">c_0</span><span class="p">,</span> <span class="n">Path_crit</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</span><span class="p">),</span> <span class="s1">&#39;bo&#39;</span><span class="p">)</span>
    
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Find the function minimum, starting from an initial guess</span>
<span class="n">result</span> <span class="o">=</span> <span class="n">minimize</span><span class="p">(</span><span class="n">Path_crit</span><span class="p">,</span> <span class="mf">0.34</span><span class="p">,</span> <span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">k_0</span><span class="p">,</span> <span class="n">params</span><span class="p">,</span> <span class="mi">100</span><span class="p">),</span> <span class="n">method</span><span class="o">=</span><span class="s1">&#39;Nelder-Mead&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">result</span><span class="p">)</span>

<span class="n">c_0</span> <span class="o">=</span> <span class="n">result</span><span class="o">.</span><span class="n">x</span>
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<pre> final_simplex: (array([[0.34203463],
       [0.34203463]]), array([0.0003119 , 0.00039346]))
           fun: 0.00031189826075628333
       message: &#39;Optimization terminated successfully.&#39;
          nfev: 100
           nit: 50
        status: 0
       success: True
             x: array([0.34203463])
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Phase diagram</span>
<span class="n">k_t</span><span class="p">,</span> <span class="n">c_t</span> <span class="o">=</span> <span class="n">Path</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</span><span class="p">,</span> <span class="mi">50</span><span class="p">)</span>

<span class="n">kk</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">k_star</span><span class="p">,</span> <span class="mi">1000</span><span class="p">)</span>
<span class="n">cc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">c_star</span><span class="p">,</span> <span class="mi">1000</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">kk</span><span class="p">,</span> <span class="n">Constant_k</span><span class="p">(</span><span class="n">kk</span><span class="p">,</span> <span class="n">params</span><span class="p">),</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$\hat</span><span class="si">{k}</span><span class="s1">_{t+1}=\hat</span><span class="si">{k}</span><span class="s1">_</span><span class="si">{t}</span><span class="s1">$&#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">kk</span><span class="o">**</span><span class="mi">0</span> <span class="o">*</span> <span class="n">k_star</span><span class="p">,</span> <span class="n">cc</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$\hat</span><span class="si">{c}</span><span class="s1">_{t+1}=\hat</span><span class="si">{c}</span><span class="s1">_</span><span class="si">{t}</span><span class="s1">$&#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">k_star</span><span class="p">,</span> <span class="n">c_star</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;Steady state&#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">k_t</span><span class="p">,</span> <span class="n">c_t</span><span class="p">,</span> <span class="s1">&#39;k-&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;Saddle path&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Phase diagram of the RCK model&#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;Capital per effective labor $\hat</span><span class="si">{k}</span><span class="s1">$&#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;Consumption per effective labor $\hat</span><span class="si">{c}</span><span class="s1">$&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;lower right&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>Let us now verify that our code runs correctly, by solving again the simplified model, for which we have an analytic solution.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Parameters</span>
<span class="n">params_simple</span> <span class="o">=</span> <span class="p">{</span><span class="s1">&#39;α&#39;</span><span class="p">:</span><span class="mf">0.33</span><span class="p">,</span> <span class="s1">&#39;δ&#39;</span><span class="p">:</span><span class="mi">1</span><span class="p">,</span> <span class="s1">&#39;n&#39;</span><span class="p">:</span><span class="mi">0</span><span class="p">,</span> <span class="s1">&#39;g&#39;</span><span class="p">:</span><span class="mi">0</span><span class="p">,</span> <span class="s1">&#39;σ&#39;</span><span class="p">:</span><span class="mi">1</span><span class="p">,</span> <span class="s1">&#39;β&#39;</span><span class="p">:</span><span class="mf">0.96</span><span class="p">}</span>

<span class="c1"># Steady state</span>
<span class="nb">print</span><span class="p">(</span><span class="n">SteadyState</span><span class="p">(</span><span class="n">params_simple</span><span class="p">))</span>
<span class="n">k_star_simple</span><span class="p">,</span> <span class="n">c_star_simple</span> <span class="o">=</span> <span class="n">SteadyState</span><span class="p">(</span><span class="n">params_simple</span><span class="p">)</span>
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<pre>(0.17984701877776357, 0.3878519041318438)
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Find the function minimum, starting from an initial guess</span>
<span class="n">result_simple</span> <span class="o">=</span> <span class="n">minimize</span><span class="p">(</span><span class="n">Path_crit</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">,</span> 
                         <span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">k_star_simple</span> <span class="o">/</span> <span class="mi">20</span><span class="p">,</span> <span class="n">params_simple</span><span class="p">,</span> <span class="mi">100</span><span class="p">),</span> 
                         <span class="n">method</span><span class="o">=</span><span class="s1">&#39;Nelder-Mead&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">result_simple</span><span class="p">)</span>

<span class="n">c_0_simple</span> <span class="o">=</span> <span class="n">result_simple</span><span class="o">.</span><span class="n">x</span>
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<pre> final_simplex: (array([[0.14431984],
       [0.14431984]]), array([0.42762086, 0.42769224]))
           fun: 0.4276208631306686
       message: &#39;Optimization terminated successfully.&#39;
          nfev: 69
           nit: 34
        status: 0
       success: True
             x: array([0.14431984])
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Generate transition path</span>
<span class="n">k_check</span><span class="p">,</span> <span class="n">c_check</span> <span class="o">=</span> <span class="n">Path</span><span class="p">(</span><span class="n">c_0_simple</span><span class="p">,</span> <span class="n">k_star_simple</span> <span class="o">/</span> <span class="mi">20</span><span class="p">,</span> <span class="n">params_simple</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>

<span class="n">kk</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">k_star_simple</span><span class="p">,</span> <span class="mi">1000</span><span class="p">)</span>
<span class="n">cc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">c_star_simple</span><span class="p">,</span> <span class="mi">1000</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">kk</span><span class="p">,</span> <span class="n">Constant_k</span><span class="p">(</span><span class="n">kk</span><span class="p">,</span> <span class="n">params_simple</span><span class="p">),</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$k_{t+1}=k_</span><span class="si">{t}</span><span class="s1">$&#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">kk</span><span class="o">**</span><span class="mi">0</span> <span class="o">*</span> <span class="n">k_star_simple</span><span class="p">,</span> <span class="n">cc</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$c_{t+1}=c_</span><span class="si">{t}</span><span class="s1">$&#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">k_star_simple</span><span class="p">,</span> <span class="n">c_star_simple</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;Steady state&#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">k_check</span><span class="p">,</span> <span class="n">c_check</span><span class="p">,</span> <span class="s1">&#39;k-&#39;</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">4</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;Saddle path&#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">k_simple</span><span class="p">,</span> <span class="n">c_simple</span><span class="p">,</span> <span class="s1">&#39;y-&#39;</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;Analytic solution&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Phase diagram of the RCK model&#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;Capital per worker $k$&#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;Consumption per worker $c$&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;lower right&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">k_simple</span><span class="p">,</span> <span class="p">(</span><span class="n">c_simple</span><span class="o">-</span><span class="n">c_check</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Squared errors&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>It seems that our numerical procedure can recover the analytical solution.</p>
<p>Let us now take a look at the behavior of capital, consumption and saving rate over time in our full model.</p>

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<div class="prompt input_prompt">In&nbsp;[17]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">s_t</span> <span class="o">=</span> <span class="mi">1</span> <span class="o">-</span> <span class="n">c_t</span><span class="o">/</span><span class="n">ProductionFunction</span><span class="p">(</span><span class="n">k_t</span><span class="p">,</span> <span class="n">params</span><span class="p">)</span>
<span class="n">s_star</span> <span class="o">=</span> <span class="mi">1</span><span class="o">-</span><span class="n">c_star</span><span class="o">/</span><span class="n">ProductionFunction</span><span class="p">(</span><span class="n">k_star</span><span class="p">,</span> <span class="n">params</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">k_t</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hlines</span><span class="p">(</span><span class="n">k_star</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">50</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">linestyle</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Capital per effective labor $\hat</span><span class="si">{k}</span><span class="s1">$&#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;Period&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">c_t</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hlines</span><span class="p">(</span><span class="n">c_star</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">50</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">linestyle</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Consumption per effective labor $\hat</span><span class="si">{c}</span><span class="s1">$&#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;Period&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="mi">100</span><span class="o">*</span><span class="n">s_t</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hlines</span><span class="p">(</span><span class="mi">100</span><span class="o">*</span><span class="n">s_star</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">50</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">linestyle</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Saving rate $s$ (%)&#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;Period&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylim</span><span class="p">(</span><span class="mi">20</span><span class="p">,</span> <span class="mi">30</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>Usually the RCK model generates decreasing saving rate along the transition path. The condition for when the saving rate is decreasing is summarized by:</p>
\begin{align}
s^{*} &lt; 1/\sigma
\end{align}<p>while the BGP saving rate is a function of model parameters. The saving rates of countries rarely exceed 40%, and empirical estimates for $\sigma$ usually place it around 2 (although with high uncertainty).</p>
<p>Below I present a set of parameters for which the saving rate is increasing over time.</p>

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<div class="prompt input_prompt">In&nbsp;[18]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Parameters</span>
<span class="n">params_dec</span> <span class="o">=</span> <span class="p">{</span><span class="s1">&#39;α&#39;</span><span class="p">:</span><span class="mf">0.33</span><span class="p">,</span> <span class="s1">&#39;δ&#39;</span><span class="p">:</span><span class="mf">0.1</span><span class="p">,</span> <span class="s1">&#39;n&#39;</span><span class="p">:</span><span class="mf">0.01</span><span class="p">,</span> <span class="s1">&#39;g&#39;</span><span class="p">:</span><span class="mf">0.02</span><span class="p">,</span> <span class="s1">&#39;σ&#39;</span><span class="p">:</span><span class="mi">5</span><span class="p">,</span> <span class="s1">&#39;β&#39;</span><span class="p">:</span><span class="mf">0.96</span><span class="p">}</span>

<span class="c1"># Steady state</span>
<span class="nb">print</span><span class="p">(</span><span class="n">SteadyState</span><span class="p">(</span><span class="n">params_dec</span><span class="p">))</span>
<span class="n">k_star_dec</span><span class="p">,</span> <span class="n">c_star_dec</span> <span class="o">=</span> <span class="n">SteadyState</span><span class="p">(</span><span class="n">params_dec</span><span class="p">)</span>

<span class="c1"># Find the function minimum, starting from an initial guess</span>
<span class="n">result_dec</span> <span class="o">=</span> <span class="n">minimize</span><span class="p">(</span><span class="n">Path_crit</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> 
                      <span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">k_star_dec</span> <span class="o">/</span> <span class="mi">20</span><span class="p">,</span> <span class="n">params_dec</span><span class="p">,</span> <span class="mi">100</span><span class="p">),</span> 
                      <span class="n">method</span><span class="o">=</span><span class="s1">&#39;Nelder-Mead&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span><span class="p">,</span> <span class="n">result_dec</span><span class="p">)</span>

<span class="c1"># Generate transition path</span>
<span class="n">c_0_dec</span> <span class="o">=</span> <span class="n">result_dec</span><span class="o">.</span><span class="n">x</span>
<span class="n">k_dec</span><span class="p">,</span> <span class="n">c_dec</span> <span class="o">=</span> <span class="n">Path</span><span class="p">(</span><span class="n">c_0_dec</span><span class="p">,</span> <span class="n">k_star_dec</span> <span class="o">/</span> <span class="mi">20</span><span class="p">,</span> <span class="n">params_dec</span><span class="p">,</span> <span class="mi">100</span><span class="p">)</span>

<span class="c1"># Check if steady state was reached</span>

<span class="n">kk</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">k_star_dec</span><span class="p">,</span> <span class="mi">1000</span><span class="p">)</span>
<span class="n">cc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">c_star_dec</span><span class="p">,</span> <span class="mi">1000</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">kk</span><span class="p">,</span> <span class="n">Constant_k</span><span class="p">(</span><span class="n">kk</span><span class="p">,</span> <span class="n">params_dec</span><span class="p">),</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$\hat</span><span class="si">{k}</span><span class="s1">_{t+1}=\hat</span><span class="si">{k}</span><span class="s1">_</span><span class="si">{t}</span><span class="s1">$&#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">kk</span><span class="o">**</span><span class="mi">0</span> <span class="o">*</span> <span class="n">k_star_dec</span><span class="p">,</span> <span class="n">cc</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;$\hat</span><span class="si">{c}</span><span class="s1">_{t+1}=\hat</span><span class="si">{c}</span><span class="s1">_</span><span class="si">{t}</span><span class="s1">$&#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">k_star_dec</span><span class="p">,</span> <span class="n">c_star_dec</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;Steady state&#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">k_dec</span><span class="p">,</span> <span class="n">c_dec</span><span class="p">,</span> <span class="s1">&#39;k-&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;Saddle path&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Phase diagram of the RCK model&#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;Capital per effective labor $\hat</span><span class="si">{k}</span><span class="s1">$&#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;Consumption per effective labor $\hat</span><span class="si">{c}</span><span class="s1">$&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;lower right&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="c1"># Saving rate</span>
<span class="n">s_dec</span> <span class="o">=</span> <span class="mi">1</span> <span class="o">-</span> <span class="n">c_dec</span><span class="o">/</span><span class="n">ProductionFunction</span><span class="p">(</span><span class="n">k_dec</span><span class="p">,</span> <span class="n">params_dec</span><span class="p">)</span>
<span class="n">s_star_dec</span> <span class="o">=</span> <span class="mi">1</span><span class="o">-</span><span class="n">c_star_dec</span><span class="o">/</span><span class="n">ProductionFunction</span><span class="p">(</span><span class="n">k_star_dec</span><span class="p">,</span> <span class="n">params_dec</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="mi">100</span><span class="o">*</span><span class="n">s_dec</span><span class="p">[:</span><span class="mi">51</span><span class="p">],</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hlines</span><span class="p">(</span><span class="mi">100</span><span class="o">*</span><span class="n">s_star_dec</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">50</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">linestyle</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Saving rate $s$ (%)&#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;Period&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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<pre>(1.4144859318431158, 0.937071262069986)

  final_simplex: (array([[0.3656976],
       [0.3656976]]), array([0.00026281, 0.00030694]))
           fun: 0.0002628131940320468
       message: &#39;Optimization terminated successfully.&#39;
          nfev: 143
           nit: 71
        status: 0
       success: True
             x: array([0.3656976])
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<p>This last exercise also gives us insight on the shape of the transition path as a function of $\sigma$.</p>
<p>As can be seen below, transition path for higher $\sigma$ consumers runs close to the $\hat{k}_{t+1}=\hat{k}_{t}$ condition.</p>
<p>Also, higher $\sigma$ consumers end up with lower consumption per effective worker in the steady state, provided that $g&gt;0$.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Parameters</span>
<span class="n">params_low</span> <span class="o">=</span> <span class="p">{</span><span class="s1">&#39;α&#39;</span><span class="p">:</span><span class="mf">0.33</span><span class="p">,</span> <span class="s1">&#39;δ&#39;</span><span class="p">:</span><span class="mf">0.1</span><span class="p">,</span> <span class="s1">&#39;n&#39;</span><span class="p">:</span><span class="mf">0.01</span><span class="p">,</span> <span class="s1">&#39;g&#39;</span><span class="p">:</span><span class="mf">0.02</span><span class="p">,</span> <span class="s1">&#39;σ&#39;</span><span class="p">:</span><span class="mf">0.2</span><span class="p">,</span> <span class="s1">&#39;β&#39;</span><span class="p">:</span><span class="mf">0.96</span><span class="p">}</span>

<span class="c1"># Steady state</span>
<span class="nb">print</span><span class="p">(</span><span class="n">SteadyState</span><span class="p">(</span><span class="n">params_low</span><span class="p">))</span>
<span class="n">k_star_low</span><span class="p">,</span> <span class="n">c_star_low</span> <span class="o">=</span> <span class="n">SteadyState</span><span class="p">(</span><span class="n">params_low</span><span class="p">)</span>

<span class="c1"># Find the function minimum, starting from an initial guess</span>
<span class="n">result_low</span> <span class="o">=</span> <span class="n">minimize</span><span class="p">(</span><span class="n">Path_crit</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> 
                      <span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">k_star_dec</span> <span class="o">/</span> <span class="mi">20</span><span class="p">,</span> <span class="n">params_low</span><span class="p">,</span> <span class="mi">50</span><span class="p">),</span> 
                      <span class="n">method</span><span class="o">=</span><span class="s1">&#39;Nelder-Mead&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span><span class="p">,</span> <span class="n">result_low</span><span class="p">)</span>

<span class="c1"># Generate transition path</span>
<span class="n">c_0_low</span> <span class="o">=</span> <span class="n">result_low</span><span class="o">.</span><span class="n">x</span>
<span class="n">k_low</span><span class="p">,</span> <span class="n">c_low</span> <span class="o">=</span> <span class="n">Path</span><span class="p">(</span><span class="n">c_0_low</span><span class="p">,</span> <span class="n">k_star_dec</span> <span class="o">/</span> <span class="mi">20</span><span class="p">,</span> <span class="n">params_low</span><span class="p">,</span> <span class="mi">50</span><span class="p">)</span>
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<pre>(3.051988845882611, 1.0477792009922147)

  final_simplex: (array([[0.02842781],
       [0.02842781]]), array([0.00061262, 0.00070923]))
           fun: 0.0006126176462043319
       message: &#39;Optimization terminated successfully.&#39;
          nfev: 116
           nit: 58
        status: 0
       success: True
             x: array([0.02842781])
</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">kk</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">k_star_low</span><span class="p">,</span> <span class="mi">1000</span><span class="p">)</span>
<span class="n">cc</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.5</span><span class="o">*</span><span class="n">c_star_low</span><span class="p">,</span> <span class="mi">1000</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">kk</span><span class="p">,</span> <span class="n">Constant_k</span><span class="p">(</span><span class="n">kk</span><span class="p">,</span> <span class="n">params_low</span><span class="p">),</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</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">kk</span><span class="o">**</span><span class="mi">0</span> <span class="o">*</span> <span class="n">k_star_low</span><span class="p">,</span> <span class="n">cc</span><span class="p">,</span> <span class="s1">&#39;r--&#39;</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</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">k_star_low</span><span class="p">,</span> <span class="n">c_star_low</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;Steady state ($\sigma_</span><span class="si">{L}</span><span class="s1">$)&#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">k_low</span><span class="p">,</span> <span class="n">c_low</span><span class="p">,</span> <span class="s1">&#39;r-&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;Saddle path ($\sigma_</span><span class="si">{L}</span><span class="s1">$)&#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">kk</span><span class="o">**</span><span class="mi">0</span> <span class="o">*</span> <span class="n">k_star_dec</span><span class="p">,</span> <span class="n">cc</span><span class="p">,</span> <span class="s1">&#39;b--&#39;</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</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">k_star_dec</span><span class="p">,</span> <span class="n">c_star_dec</span><span class="p">,</span> <span class="s1">&#39;bo&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;Steady state ($\sigma_</span><span class="si">{L}</span><span class="s1">$)&#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">k_dec</span><span class="p">,</span> <span class="n">c_dec</span><span class="p">,</span> <span class="s1">&#39;b-&#39;</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="s1">&#39;Saddle path ($\sigma_</span><span class="si">{L}</span><span class="s1">$)&#39;</span><span class="p">)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Phase diagram of the RCK model&#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;Capital per effective labor $\hat</span><span class="si">{k}</span><span class="s1">$&#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;Consumption per effective labor $\hat</span><span class="si">{c}</span><span class="s1">$&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="s1">&#39;lower right&#39;</span><span class="p">)</span>

<span class="c1"># plt.xlim(0, 4)</span>

<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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<div class="prompt input_prompt">In&nbsp;[21]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Compare consumption paths</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">c_t</span><span class="p">,</span> <span class="s1">&#39;r&#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">c_dec</span><span class="p">[:</span><span class="mi">51</span><span class="p">],</span> <span class="s1">&#39;b&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>In this context, risk aversion can be related to the standard deviation of consumption paths: consumers with high $\sigma$ start with higher and end up with lower consumption that consumers with low $\sigma$.</p>

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<h3 id="Extension:-Stone-Geary-preferences">Extension: Stone-Geary preferences<a class="anchor-link" href="#Extension:-Stone-Geary-preferences">&#182;</a></h3><p>The standard RCK model predicts that for the "usual" parameter values saving rates will decline with the level of GDP per worker. This also counterfactually implies that countries with lowest levels of GDP per worker should also have highest saving / investment rates.</p>
<p>To correct for this issue, we may introduce a modification to the utility function that requires that an individual has to consume at least a certain minimum to survive, and only the excess consumption yields utility. This is captured by the Stone-Geary function and can be expressed as:</p>
\begin{align}
u\left(c_{t}\right)=\frac{\left(c_{t}-\bar{c}\right)^{1-\sigma}-1}{1-\sigma}
\end{align}<p>and the corresponding Euler equation reads:</p>
\begin{align}
c_{t+1}= \left(\beta \frac{1+r_{t+1}}{1+n}\right)^{1/\sigma} \left(c_{t}-\bar{c}\right) + \bar{c}
\end{align}<p>In economies where $y\approx\bar{c}$ (output per person is close to the survival requirement) households will save very little. Only when output per person becomes sufficiently high, those households will start saving more (even if $\sigma&lt;1/s^{*}$). This generates an "inverse-U" convergence pattern: the least developed countries exhibit relatively low growth rates, while the middle income countries grow the fastest.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">EulerEquation_SG</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">params</span><span class="p">):</span>
    <span class="n">n</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;n&#39;</span><span class="p">]</span>
    <span class="n">g</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;g&#39;</span><span class="p">]</span>
    <span class="n">β</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;β&#39;</span><span class="p">]</span>
    <span class="n">σ</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;σ&#39;</span><span class="p">]</span>
    <span class="n">c_min</span> <span class="o">=</span> <span class="n">params</span><span class="p">[</span><span class="s1">&#39;c_min&#39;</span><span class="p">]</span>
    
    <span class="n">k_next</span> <span class="o">=</span> <span class="n">ResourceConstraint</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">params</span><span class="p">)</span>
    
    <span class="k">if</span> <span class="n">k_next</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
        <span class="n">r</span> <span class="o">=</span> <span class="n">InterestRate</span><span class="p">(</span><span class="n">k_next</span><span class="p">,</span> <span class="n">params</span><span class="p">)</span>
        <span class="n">c_next</span> <span class="o">=</span> <span class="p">(</span><span class="n">β</span><span class="o">*</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">r</span><span class="p">)</span><span class="o">/</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">n</span><span class="p">))</span><span class="o">**</span><span class="p">(</span><span class="mi">1</span><span class="o">/</span><span class="n">σ</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">c</span><span class="o">-</span><span class="n">c_min</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">g</span><span class="p">)</span> <span class="o">+</span> <span class="n">c_min</span>
        <span class="k">return</span> <span class="n">c_next</span>
    <span class="k">else</span><span class="p">:</span>
        <span class="k">return</span> <span class="mi">0</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Forward equations and convergence criterion</span>

<span class="k">def</span> <span class="nf">Path_SG</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</span><span class="p">,</span> <span class="n">T</span><span class="o">=</span><span class="mi">100</span><span class="p">):</span>
    
    <span class="n">T</span> <span class="o">+=</span> <span class="mi">1</span>
    
    <span class="n">k_t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">T</span><span class="p">)</span>
    <span class="n">c_t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">T</span><span class="p">)</span>
    
    <span class="n">k_t</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">k_0</span>
    <span class="n">c_t</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">c_0</span>
    
    <span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">T</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
        <span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">ResourceConstraint</span><span class="p">(</span><span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="p">],</span> <span class="n">c_t</span><span class="p">[</span><span class="n">t</span><span class="p">],</span> <span class="n">params</span><span class="p">)</span>
        <span class="k">if</span> <span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
            <span class="n">c_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">EulerEquation_SG</span><span class="p">(</span><span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="p">],</span> <span class="n">c_t</span><span class="p">[</span><span class="n">t</span><span class="p">],</span> <span class="n">params</span><span class="p">)</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="n">k_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
            <span class="n">c_t</span><span class="p">[</span><span class="n">t</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
            
    <span class="k">return</span> <span class="n">k_t</span><span class="p">,</span> <span class="n">c_t</span>

<span class="k">def</span> <span class="nf">Path_crit_SG</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</span><span class="p">,</span> <span class="n">T</span><span class="o">=</span><span class="mi">100</span><span class="p">):</span>
    
    <span class="n">k_t</span><span class="p">,</span> <span class="n">c_t</span> <span class="o">=</span> <span class="n">Path_SG</span><span class="p">(</span><span class="n">c_0</span><span class="p">,</span> <span class="n">k_0</span><span class="p">,</span> <span class="n">params</span><span class="p">,</span> <span class="n">T</span><span class="p">)</span>
    <span class="n">k_star</span><span class="p">,</span> <span class="n">c_star</span> <span class="o">=</span> <span class="n">SteadyState</span><span class="p">(</span><span class="n">params</span><span class="p">)</span>
    
    <span class="n">ss_diff</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">((</span><span class="n">k_t</span><span class="o">-</span><span class="n">k_star</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="p">(</span><span class="n">c_t</span><span class="o">-</span><span class="n">c_star</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
    
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">ss_diff</span><span class="p">)</span> <span class="o">+</span> <span class="n">ss_diff</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Parameters for Stone-Geary</span>
<span class="n">params_SG</span> <span class="o">=</span> <span class="p">{</span><span class="s1">&#39;α&#39;</span><span class="p">:</span><span class="mf">0.33</span><span class="p">,</span> <span class="s1">&#39;δ&#39;</span><span class="p">:</span><span class="mf">0.1</span><span class="p">,</span> <span class="s1">&#39;n&#39;</span><span class="p">:</span><span class="mf">0.01</span><span class="p">,</span> <span class="s1">&#39;g&#39;</span><span class="p">:</span><span class="mi">0</span><span class="p">,</span> <span class="s1">&#39;σ&#39;</span><span class="p">:</span><span class="mi">2</span><span class="p">,</span> <span class="s1">&#39;β&#39;</span><span class="p">:</span><span class="mf">0.96</span><span class="p">,</span> <span class="s1">&#39;c_min&#39;</span><span class="p">:</span><span class="mf">0.49</span><span class="p">}</span>

<span class="c1"># Steady state</span>
<span class="nb">print</span><span class="p">(</span><span class="n">SteadyState</span><span class="p">(</span><span class="n">params_SG</span><span class="p">))</span>
<span class="n">k_star_SG</span><span class="p">,</span> <span class="n">c_star_SG</span> <span class="o">=</span> <span class="n">SteadyState</span><span class="p">(</span><span class="n">params_SG</span><span class="p">)</span>

<span class="c1"># Initial level of capital</span>
<span class="n">k_0_SG</span> <span class="o">=</span> <span class="n">k_star_SG</span> <span class="o">/</span> <span class="mi">20</span>
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<pre>(3.177882143898165, 1.1149872350333627)
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Find the function minimum, starting from an initial guess</span>
<span class="n">result_SG</span> <span class="o">=</span> <span class="n">minimize</span><span class="p">(</span><span class="n">Path_crit_SG</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">,</span>
                     <span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">k_0_SG</span><span class="p">,</span> <span class="n">params_SG</span><span class="p">,</span> <span class="mi">100</span><span class="p">),</span>
                     <span class="n">method</span><span class="o">=</span><span class="s1">&#39;Nelder-Mead&#39;</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">result_SG</span><span class="p">)</span>

<span class="n">c_0_SG</span> <span class="o">=</span> <span class="n">result_SG</span><span class="o">.</span><span class="n">x</span>
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<pre> final_simplex: (array([[0.51355245],
       [0.51355245]]), array([0.00156432, 0.00156923]))
           fun: 0.0015643198165904324
       message: &#39;Optimization terminated successfully.&#39;
          nfev: 92
           nit: 45
        status: 0
       success: True
             x: array([0.51355245])
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">k_t_SG</span><span class="p">,</span> <span class="n">c_t_SG</span> <span class="o">=</span> <span class="n">Path_SG</span><span class="p">(</span><span class="n">c_0_SG</span><span class="p">,</span> <span class="n">k_0_SG</span><span class="p">,</span> <span class="n">params_SG</span><span class="p">,</span> <span class="mi">100</span><span class="p">)</span>

<span class="n">y_t_SG</span> <span class="o">=</span> <span class="n">ProductionFunction</span><span class="p">(</span><span class="n">k_t_SG</span><span class="p">,</span> <span class="n">params_SG</span><span class="p">)</span>

<span class="n">s_t_SG</span> <span class="o">=</span> <span class="mi">1</span> <span class="o">-</span> <span class="n">c_t_SG</span><span class="o">/</span><span class="n">y_t_SG</span>

<span class="n">g_y_t_SG</span> <span class="o">=</span> <span class="mi">100</span><span class="o">*</span><span class="p">(</span><span class="n">y_t_SG</span><span class="p">[</span><span class="mi">1</span><span class="p">:]</span><span class="o">/</span><span class="n">y_t_SG</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">k_t_SG</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hlines</span><span class="p">(</span><span class="n">k_star_SG</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">linestyle</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Capital per person $k$&#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;Period&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">c_t_SG</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hlines</span><span class="p">(</span><span class="n">c_star_SG</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">linestyle</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Consumption per person $c$&#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;Period&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="mi">100</span><span class="o">*</span><span class="n">s_t_SG</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hlines</span><span class="p">(</span><span class="mi">100</span><span class="o">*</span><span class="n">s_t_SG</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">],</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">100</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">linestyle</span><span class="o">=</span><span class="s1">&#39;--&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Saving rate $s$ (%)&#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;Period&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">g_y_t_SG</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Growth rate of GDP per person $g_</span><span class="si">{y}</span><span class="s1">$ (%)&#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;Period&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<div class="prompt input_prompt">In&nbsp;[28]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">y_t_SG</span><span class="p">),</span> <span class="mi">100</span><span class="o">*</span><span class="n">s_t_SG</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Saving rate vs income for Stone-Geary utility 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;Logarithm of GDP per person&#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;Saving rate (%)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>

<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">y_t_SG</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">]),</span> <span class="n">g_y_t_SG</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;Saving rate vs income for Stone-Geary utility 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;Logarithm of GDP per person&#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;Annual growth rate (%)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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