FIZ353_08_Drawing_From_A_Given_Distribution.html

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<title>FIZ353_08(2)_Drawing_From_A_Given_Distribution</title>

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.glyphicon-triangle-left:before {
  content: "\e251";
}
.glyphicon-triangle-bottom:before {
  content: "\e252";
}
.glyphicon-triangle-top:before {
  content: "\e253";
}
.glyphicon-console:before {
  content: "\e254";
}
.glyphicon-superscript:before {
  content: "\e255";
}
.glyphicon-subscript:before {
  content: "\e256";
}
.glyphicon-menu-left:before {
  content: "\e257";
}
.glyphicon-menu-right:before {
  content: "\e258";
}
.glyphicon-menu-down:before {
  content: "\e259";
}
.glyphicon-menu-up:before {
  content: "\e260";
}
* {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
*:before,
*:after {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
html {
  font-size: 10px;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 13px;
  line-height: 1.42857143;
  color: #000000;
  background-color: #ffffff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #296eaa;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #1a466c;
  text-decoration: underline;
}
a:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
figure {
  margin: 0;
}
img {
  vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  display: block;
  max-width: 100%;
  height: auto;
}
.img-rounded {
  border-radius: 3px;
}
.img-thumbnail {
  padding: 4px;
  line-height: 1.42857143;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-radius: 2px;
  -webkit-transition: all 0.2s ease-in-out;
  -o-transition: all 0.2s ease-in-out;
  transition: all 0.2s ease-in-out;
  display: inline-block;
  max-width: 100%;
  height: auto;
}
.img-circle {
  border-radius: 50%;
}
hr {
  margin-top: 18px;
  margin-bottom: 18px;
  border: 0;
  border-top: 1px solid #eeeeee;
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  padding: 0;
  margin: -1px;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
[role="button"] {
  cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
  font-family: inherit;
  font-weight: 500;
  line-height: 1.1;
  color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
  font-weight: 400;
  line-height: 1;
  color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
  margin-top: 18px;
  margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
  font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
  margin-top: 9px;
  margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
  font-size: 75%;
}
h1,
.h1 {
  font-size: 33px;
}
h2,
.h2 {
  font-size: 27px;
}
h3,
.h3 {
  font-size: 23px;
}
h4,
.h4 {
  font-size: 17px;
}
h5,
.h5 {
  font-size: 13px;
}
h6,
.h6 {
  font-size: 12px;
}
p {
  margin: 0 0 9px;
}
.lead {
  margin-bottom: 18px;
  font-size: 14px;
  font-weight: 300;
  line-height: 1.4;
}
@media (min-width: 768px) {
  .lead {
    font-size: 19.5px;
  }
}
small,
.small {
  font-size: 92%;
}
mark,
.mark {
  padding: .2em;
  background-color: #fcf8e3;
}
.text-left {
  text-align: left;
}
.text-right {
  text-align: right;
}
.text-center {
  text-align: center;
}
.text-justify {
  text-align: justify;
}
.text-nowrap {
  white-space: nowrap;
}
.text-lowercase {
  text-transform: lowercase;
}
.text-uppercase {
  text-transform: uppercase;
}
.text-capitalize {
  text-transform: capitalize;
}
.text-muted {
  color: #777777;
}
.text-primary {
  color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
  color: #286090;
}
.text-success {
  color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
  color: #2b542c;
}
.text-info {
  color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
  color: #245269;
}
.text-warning {
  color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
  color: #66512c;
}
.text-danger {
  color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
  color: #843534;
}
.bg-primary {
  color: #fff;
  background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
  background-color: #286090;
}
.bg-success {
  background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
  background-color: #c1e2b3;
}
.bg-info {
  background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
  background-color: #afd9ee;
}
.bg-warning {
  background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
  background-color: #f7ecb5;
}
.bg-danger {
  background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
  background-color: #e4b9b9;
}
.page-header {
  padding-bottom: 8px;
  margin: 36px 0 18px;
  border-bottom: 1px solid #eeeeee;
}
ul,
ol {
  margin-top: 0;
  margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
  margin-bottom: 0;
}
.list-unstyled {
  padding-left: 0;
  list-style: none;
}
.list-inline {
  padding-left: 0;
  list-style: none;
  margin-left: -5px;
}
.list-inline > li {
  display: inline-block;
  padding-right: 5px;
  padding-left: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: 700;
}
dd {
  margin-left: 0;
}
@media (min-width: 541px) {
  .dl-horizontal dt {
    float: left;
    width: 160px;
    clear: left;
    text-align: right;
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
  }
  .dl-horizontal dd {
    margin-left: 180px;
  }
}
abbr[title],
abbr[data-original-title] {
  cursor: help;
}
.initialism {
  font-size: 90%;
  text-transform: uppercase;
}
blockquote {
  padding: 9px 18px;
  margin: 0 0 18px;
  font-size: inherit;
  border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
  margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
  display: block;
  font-size: 80%;
  line-height: 1.42857143;
  color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
  content: "\2014 \00A0";
}
.blockquote-reverse,
blockquote.pull-right {
  padding-right: 15px;
  padding-left: 0;
  text-align: right;
  border-right: 5px solid #eeeeee;
  border-left: 0;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
  content: "";
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
  content: "\00A0 \2014";
}
address {
  margin-bottom: 18px;
  font-style: normal;
  line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
  font-family: monospace;
}
code {
  padding: 2px 4px;
  font-size: 90%;
  color: #c7254e;
  background-color: #f9f2f4;
  border-radius: 2px;
}
kbd {
  padding: 2px 4px;
  font-size: 90%;
  color: #888888;
  background-color: transparent;
  border-radius: 1px;
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
  padding: 0;
  font-size: 100%;
  font-weight: 700;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #333333;
  word-break: break-all;
  word-wrap: break-word;
  background-color: #f5f5f5;
  border: 1px solid #cccccc;
  border-radius: 2px;
}
pre code {
  padding: 0;
  font-size: inherit;
  color: inherit;
  white-space: pre-wrap;
  background-color: transparent;
  border-radius: 0;
}
.pre-scrollable {
  max-height: 340px;
  overflow-y: scroll;
}
.container {
  padding-right: 0px;
  padding-left: 0px;
  margin-right: auto;
  margin-left: auto;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  padding-right: 0px;
  padding-left: 0px;
  margin-right: auto;
  margin-left: auto;
}
.row {
  margin-right: 0px;
  margin-left: 0px;
}
.row-no-gutters {
  margin-right: 0;
  margin-left: 0;
}
.row-no-gutters [class*="col-"] {
  padding-right: 0;
  padding-left: 0;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
  position: relative;
  min-height: 1px;
  padding-right: 0px;
  padding-left: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
  float: left;
}
.col-xs-12 {
  width: 100%;
}
.col-xs-11 {
  width: 91.66666667%;
}
.col-xs-10 {
  width: 83.33333333%;
}
.col-xs-9 {
  width: 75%;
}
.col-xs-8 {
  width: 66.66666667%;
}
.col-xs-7 {
  width: 58.33333333%;
}
.col-xs-6 {
  width: 50%;
}
.col-xs-5 {
  width: 41.66666667%;
}
.col-xs-4 {
  width: 33.33333333%;
}
.col-xs-3 {
  width: 25%;
}
.col-xs-2 {
  width: 16.66666667%;
}
.col-xs-1 {
  width: 8.33333333%;
}
.col-xs-pull-12 {
  right: 100%;
}
.col-xs-pull-11 {
  right: 91.66666667%;
}
.col-xs-pull-10 {
  right: 83.33333333%;
}
.col-xs-pull-9 {
  right: 75%;
}
.col-xs-pull-8 {
  right: 66.66666667%;
}
.col-xs-pull-7 {
  right: 58.33333333%;
}
.col-xs-pull-6 {
  right: 50%;
}
.col-xs-pull-5 {
  right: 41.66666667%;
}
.col-xs-pull-4 {
  right: 33.33333333%;
}
.col-xs-pull-3 {
  right: 25%;
}
.col-xs-pull-2 {
  right: 16.66666667%;
}
.col-xs-pull-1 {
  right: 8.33333333%;
}
.col-xs-pull-0 {
  right: auto;
}
.col-xs-push-12 {
  left: 100%;
}
.col-xs-push-11 {
  left: 91.66666667%;
}
.col-xs-push-10 {
  left: 83.33333333%;
}
.col-xs-push-9 {
  left: 75%;
}
.col-xs-push-8 {
  left: 66.66666667%;
}
.col-xs-push-7 {
  left: 58.33333333%;
}
.col-xs-push-6 {
  left: 50%;
}
.col-xs-push-5 {
  left: 41.66666667%;
}
.col-xs-push-4 {
  left: 33.33333333%;
}
.col-xs-push-3 {
  left: 25%;
}
.col-xs-push-2 {
  left: 16.66666667%;
}
.col-xs-push-1 {
  left: 8.33333333%;
}
.col-xs-push-0 {
  left: auto;
}
.col-xs-offset-12 {
  margin-left: 100%;
}
.col-xs-offset-11 {
  margin-left: 91.66666667%;
}
.col-xs-offset-10 {
  margin-left: 83.33333333%;
}
.col-xs-offset-9 {
  margin-left: 75%;
}
.col-xs-offset-8 {
  margin-left: 66.66666667%;
}
.col-xs-offset-7 {
  margin-left: 58.33333333%;
}
.col-xs-offset-6 {
  margin-left: 50%;
}
.col-xs-offset-5 {
  margin-left: 41.66666667%;
}
.col-xs-offset-4 {
  margin-left: 33.33333333%;
}
.col-xs-offset-3 {
  margin-left: 25%;
}
.col-xs-offset-2 {
  margin-left: 16.66666667%;
}
.col-xs-offset-1 {
  margin-left: 8.33333333%;
}
.col-xs-offset-0 {
  margin-left: 0%;
}
@media (min-width: 768px) {
  .col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
    float: left;
  }
  .col-sm-12 {
    width: 100%;
  }
  .col-sm-11 {
    width: 91.66666667%;
  }
  .col-sm-10 {
    width: 83.33333333%;
  }
  .col-sm-9 {
    width: 75%;
  }
  .col-sm-8 {
    width: 66.66666667%;
  }
  .col-sm-7 {
    width: 58.33333333%;
  }
  .col-sm-6 {
    width: 50%;
  }
  .col-sm-5 {
    width: 41.66666667%;
  }
  .col-sm-4 {
    width: 33.33333333%;
  }
  .col-sm-3 {
    width: 25%;
  }
  .col-sm-2 {
    width: 16.66666667%;
  }
  .col-sm-1 {
    width: 8.33333333%;
  }
  .col-sm-pull-12 {
    right: 100%;
  }
  .col-sm-pull-11 {
    right: 91.66666667%;
  }
  .col-sm-pull-10 {
    right: 83.33333333%;
  }
  .col-sm-pull-9 {
    right: 75%;
  }
  .col-sm-pull-8 {
    right: 66.66666667%;
  }
  .col-sm-pull-7 {
    right: 58.33333333%;
  }
  .col-sm-pull-6 {
    right: 50%;
  }
  .col-sm-pull-5 {
    right: 41.66666667%;
  }
  .col-sm-pull-4 {
    right: 33.33333333%;
  }
  .col-sm-pull-3 {
    right: 25%;
  }
  .col-sm-pull-2 {
    right: 16.66666667%;
  }
  .col-sm-pull-1 {
    right: 8.33333333%;
  }
  .col-sm-pull-0 {
    right: auto;
  }
  .col-sm-push-12 {
    left: 100%;
  }
  .col-sm-push-11 {
    left: 91.66666667%;
  }
  .col-sm-push-10 {
    left: 83.33333333%;
  }
  .col-sm-push-9 {
    left: 75%;
  }
  .col-sm-push-8 {
    left: 66.66666667%;
  }
  .col-sm-push-7 {
    left: 58.33333333%;
  }
  .col-sm-push-6 {
    left: 50%;
  }
  .col-sm-push-5 {
    left: 41.66666667%;
  }
  .col-sm-push-4 {
    left: 33.33333333%;
  }
  .col-sm-push-3 {
    left: 25%;
  }
  .col-sm-push-2 {
    left: 16.66666667%;
  }
  .col-sm-push-1 {
    left: 8.33333333%;
  }
  .col-sm-push-0 {
    left: auto;
  }
  .col-sm-offset-12 {
    margin-left: 100%;
  }
  .col-sm-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-sm-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-sm-offset-9 {
    margin-left: 75%;
  }
  .col-sm-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-sm-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-sm-offset-6 {
    margin-left: 50%;
  }
  .col-sm-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-sm-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-sm-offset-3 {
    margin-left: 25%;
  }
  .col-sm-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-sm-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-sm-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 992px) {
  .col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
    float: left;
  }
  .col-md-12 {
    width: 100%;
  }
  .col-md-11 {
    width: 91.66666667%;
  }
  .col-md-10 {
    width: 83.33333333%;
  }
  .col-md-9 {
    width: 75%;
  }
  .col-md-8 {
    width: 66.66666667%;
  }
  .col-md-7 {
    width: 58.33333333%;
  }
  .col-md-6 {
    width: 50%;
  }
  .col-md-5 {
    width: 41.66666667%;
  }
  .col-md-4 {
    width: 33.33333333%;
  }
  .col-md-3 {
    width: 25%;
  }
  .col-md-2 {
    width: 16.66666667%;
  }
  .col-md-1 {
    width: 8.33333333%;
  }
  .col-md-pull-12 {
    right: 100%;
  }
  .col-md-pull-11 {
    right: 91.66666667%;
  }
  .col-md-pull-10 {
    right: 83.33333333%;
  }
  .col-md-pull-9 {
    right: 75%;
  }
  .col-md-pull-8 {
    right: 66.66666667%;
  }
  .col-md-pull-7 {
    right: 58.33333333%;
  }
  .col-md-pull-6 {
    right: 50%;
  }
  .col-md-pull-5 {
    right: 41.66666667%;
  }
  .col-md-pull-4 {
    right: 33.33333333%;
  }
  .col-md-pull-3 {
    right: 25%;
  }
  .col-md-pull-2 {
    right: 16.66666667%;
  }
  .col-md-pull-1 {
    right: 8.33333333%;
  }
  .col-md-pull-0 {
    right: auto;
  }
  .col-md-push-12 {
    left: 100%;
  }
  .col-md-push-11 {
    left: 91.66666667%;
  }
  .col-md-push-10 {
    left: 83.33333333%;
  }
  .col-md-push-9 {
    left: 75%;
  }
  .col-md-push-8 {
    left: 66.66666667%;
  }
  .col-md-push-7 {
    left: 58.33333333%;
  }
  .col-md-push-6 {
    left: 50%;
  }
  .col-md-push-5 {
    left: 41.66666667%;
  }
  .col-md-push-4 {
    left: 33.33333333%;
  }
  .col-md-push-3 {
    left: 25%;
  }
  .col-md-push-2 {
    left: 16.66666667%;
  }
  .col-md-push-1 {
    left: 8.33333333%;
  }
  .col-md-push-0 {
    left: auto;
  }
  .col-md-offset-12 {
    margin-left: 100%;
  }
  .col-md-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-md-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-md-offset-9 {
    margin-left: 75%;
  }
  .col-md-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-md-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-md-offset-6 {
    margin-left: 50%;
  }
  .col-md-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-md-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-md-offset-3 {
    margin-left: 25%;
  }
  .col-md-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-md-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-md-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 1200px) {
  .col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
    float: left;
  }
  .col-lg-12 {
    width: 100%;
  }
  .col-lg-11 {
    width: 91.66666667%;
  }
  .col-lg-10 {
    width: 83.33333333%;
  }
  .col-lg-9 {
    width: 75%;
  }
  .col-lg-8 {
    width: 66.66666667%;
  }
  .col-lg-7 {
    width: 58.33333333%;
  }
  .col-lg-6 {
    width: 50%;
  }
  .col-lg-5 {
    width: 41.66666667%;
  }
  .col-lg-4 {
    width: 33.33333333%;
  }
  .col-lg-3 {
    width: 25%;
  }
  .col-lg-2 {
    width: 16.66666667%;
  }
  .col-lg-1 {
    width: 8.33333333%;
  }
  .col-lg-pull-12 {
    right: 100%;
  }
  .col-lg-pull-11 {
    right: 91.66666667%;
  }
  .col-lg-pull-10 {
    right: 83.33333333%;
  }
  .col-lg-pull-9 {
    right: 75%;
  }
  .col-lg-pull-8 {
    right: 66.66666667%;
  }
  .col-lg-pull-7 {
    right: 58.33333333%;
  }
  .col-lg-pull-6 {
    right: 50%;
  }
  .col-lg-pull-5 {
    right: 41.66666667%;
  }
  .col-lg-pull-4 {
    right: 33.33333333%;
  }
  .col-lg-pull-3 {
    right: 25%;
  }
  .col-lg-pull-2 {
    right: 16.66666667%;
  }
  .col-lg-pull-1 {
    right: 8.33333333%;
  }
  .col-lg-pull-0 {
    right: auto;
  }
  .col-lg-push-12 {
    left: 100%;
  }
  .col-lg-push-11 {
    left: 91.66666667%;
  }
  .col-lg-push-10 {
    left: 83.33333333%;
  }
  .col-lg-push-9 {
    left: 75%;
  }
  .col-lg-push-8 {
    left: 66.66666667%;
  }
  .col-lg-push-7 {
    left: 58.33333333%;
  }
  .col-lg-push-6 {
    left: 50%;
  }
  .col-lg-push-5 {
    left: 41.66666667%;
  }
  .col-lg-push-4 {
    left: 33.33333333%;
  }
  .col-lg-push-3 {
    left: 25%;
  }
  .col-lg-push-2 {
    left: 16.66666667%;
  }
  .col-lg-push-1 {
    left: 8.33333333%;
  }
  .col-lg-push-0 {
    left: auto;
  }
  .col-lg-offset-12 {
    margin-left: 100%;
  }
  .col-lg-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-lg-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-lg-offset-9 {
    margin-left: 75%;
  }
  .col-lg-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-lg-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-lg-offset-6 {
    margin-left: 50%;
  }
  .col-lg-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-lg-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-lg-offset-3 {
    margin-left: 25%;
  }
  .col-lg-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-lg-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-lg-offset-0 {
    margin-left: 0%;
  }
}
table {
  background-color: transparent;
}
table col[class*="col-"] {
  position: static;
  display: table-column;
  float: none;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  display: table-cell;
  float: none;
}
caption {
  padding-top: 8px;
  padding-bottom: 8px;
  color: #777777;
  text-align: left;
}
th {
  text-align: left;
}
.table {
  width: 100%;
  max-width: 100%;
  margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
  padding: 8px;
  line-height: 1.42857143;
  vertical-align: top;
  border-top: 1px solid #dddddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #dddddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
  border-top: 0;
}
.table > tbody + tbody {
  border-top: 2px solid #dddddd;
}
.table .table {
  background-color: #ffffff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
  padding: 5px;
}
.table-bordered {
  border: 1px solid #dddddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
  border: 1px solid #dddddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
  border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
  background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
  background-color: #f5f5f5;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
  background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
  background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
  background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
  background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
  background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
  background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
  background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
  background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
  background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
  background-color: #ebcccc;
}
.table-responsive {
  min-height: .01%;
  overflow-x: auto;
}
@media screen and (max-width: 767px) {
  .table-responsive {
    width: 100%;
    margin-bottom: 13.5px;
    overflow-y: hidden;
    -ms-overflow-style: -ms-autohiding-scrollbar;
    border: 1px solid #dddddd;
  }
  .table-responsive > .table {
    margin-bottom: 0;
  }
  .table-responsive > .table > thead > tr > th,
  .table-responsive > .table > tbody > tr > th,
  .table-responsive > .table > tfoot > tr > th,
  .table-responsive > .table > thead > tr > td,
  .table-responsive > .table > tbody > tr > td,
  .table-responsive > .table > tfoot > tr > td {
    white-space: nowrap;
  }
  .table-responsive > .table-bordered {
    border: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:first-child,
  .table-responsive > .table-bordered > tbody > tr > th:first-child,
  .table-responsive > .table-bordered > tfoot > tr > th:first-child,
  .table-responsive > .table-bordered > thead > tr > td:first-child,
  .table-responsive > .table-bordered > tbody > tr > td:first-child,
  .table-responsive > .table-bordered > tfoot > tr > td:first-child {
    border-left: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:last-child,
  .table-responsive > .table-bordered > tbody > tr > th:last-child,
  .table-responsive > .table-bordered > tfoot > tr > th:last-child,
  .table-responsive > .table-bordered > thead > tr > td:last-child,
  .table-responsive > .table-bordered > tbody > tr > td:last-child,
  .table-responsive > .table-bordered > tfoot > tr > td:last-child {
    border-right: 0;
  }
  .table-responsive > .table-bordered > tbody > tr:last-child > th,
  .table-responsive > .table-bordered > tfoot > tr:last-child > th,
  .table-responsive > .table-bordered > tbody > tr:last-child > td,
  .table-responsive > .table-bordered > tfoot > tr:last-child > td {
    border-bottom: 0;
  }
}
fieldset {
  min-width: 0;
  padding: 0;
  margin: 0;
  border: 0;
}
legend {
  display: block;
  width: 100%;
  padding: 0;
  margin-bottom: 18px;
  font-size: 19.5px;
  line-height: inherit;
  color: #333333;
  border: 0;
  border-bottom: 1px solid #e5e5e5;
}
label {
  display: inline-block;
  max-width: 100%;
  margin-bottom: 5px;
  font-weight: 700;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
  -webkit-appearance: none;
  appearance: none;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
  cursor: not-allowed;
}
input[type="file"] {
  display: block;
}
input[type="range"] {
  display: block;
  width: 100%;
}
select[multiple],
select[size] {
  height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
output {
  display: block;
  padding-top: 7px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
}
.form-control {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
  color: #999999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999999;
}
.form-control::-webkit-input-placeholder {
  color: #999999;
}
.form-control::-ms-expand {
  background-color: transparent;
  border: 0;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
  background-color: #eeeeee;
  opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
  cursor: not-allowed;
}
textarea.form-control {
  height: auto;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
  input[type="date"].form-control,
  input[type="time"].form-control,
  input[type="datetime-local"].form-control,
  input[type="month"].form-control {
    line-height: 32px;
  }
  input[type="date"].input-sm,
  input[type="time"].input-sm,
  input[type="datetime-local"].input-sm,
  input[type="month"].input-sm,
  .input-group-sm input[type="date"],
  .input-group-sm input[type="time"],
  .input-group-sm input[type="datetime-local"],
  .input-group-sm input[type="month"] {
    line-height: 30px;
  }
  input[type="date"].input-lg,
  input[type="time"].input-lg,
  input[type="datetime-local"].input-lg,
  input[type="month"].input-lg,
  .input-group-lg input[type="date"],
  .input-group-lg input[type="time"],
  .input-group-lg input[type="datetime-local"],
  .input-group-lg input[type="month"] {
    line-height: 45px;
  }
}
.form-group {
  margin-bottom: 15px;
}
.radio,
.checkbox {
  position: relative;
  display: block;
  margin-top: 10px;
  margin-bottom: 10px;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: 400;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-top: 4px \9;
  margin-left: -20px;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: 400;
  vertical-align: middle;
  cursor: pointer;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
.form-control-static {
  min-height: 31px;
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-right: 0;
  padding-left: 0;
}
.input-sm {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-sm {
  height: 30px;
  line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
  height: auto;
}
.form-group-sm .form-control {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.form-group-sm select.form-control {
  height: 30px;
  line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
  height: auto;
}
.form-group-sm .form-control-static {
  height: 30px;
  min-height: 30px;
  padding: 6px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.input-lg {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-lg {
  height: 45px;
  line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
  height: auto;
}
.form-group-lg .form-control {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.form-group-lg select.form-control {
  height: 45px;
  line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
  height: auto;
}
.form-group-lg .form-control-static {
  height: 45px;
  min-height: 35px;
  padding: 11px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.has-feedback {
  position: relative;
}
.has-feedback .form-control {
  padding-right: 40px;
}
.form-control-feedback {
  position: absolute;
  top: 0;
  right: 0;
  z-index: 2;
  display: block;
  width: 32px;
  height: 32px;
  line-height: 32px;
  text-align: center;
  pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
  width: 45px;
  height: 45px;
  line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
  width: 30px;
  height: 30px;
  line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
  color: #3c763d;
}
.has-success .form-control {
  border-color: #3c763d;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
  border-color: #2b542c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #3c763d;
}
.has-success .form-control-feedback {
  color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
  color: #8a6d3b;
}
.has-warning .form-control {
  border-color: #8a6d3b;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
  border-color: #66512c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #8a6d3b;
}
.has-warning .form-control-feedback {
  color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
  color: #a94442;
}
.has-error .form-control {
  border-color: #a94442;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
  border-color: #843534;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
  color: #a94442;
  background-color: #f2dede;
  border-color: #a94442;
}
.has-error .form-control-feedback {
  color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
  top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
  top: 0;
}
.help-block {
  display: block;
  margin-top: 5px;
  margin-bottom: 10px;
  color: #404040;
}
@media (min-width: 768px) {
  .form-inline .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .form-inline .form-control-static {
    display: inline-block;
  }
  .form-inline .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .form-inline .input-group .input-group-addon,
  .form-inline .input-group .input-group-btn,
  .form-inline .input-group .form-control {
    width: auto;
  }
  .form-inline .input-group > .form-control {
    width: 100%;
  }
  .form-inline .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio,
  .form-inline .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio label,
  .form-inline .checkbox label {
    padding-left: 0;
  }
  .form-inline .radio input[type="radio"],
  .form-inline .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .form-inline .has-feedback .form-control-feedback {
    top: 0;
  }
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
  padding-top: 7px;
  margin-top: 0;
  margin-bottom: 0;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    padding-top: 7px;
    margin-bottom: 0;
    text-align: right;
  }
}
.form-horizontal .has-feedback .form-control-feedback {
  right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .form-group-lg .control-label {
    padding-top: 11px;
    font-size: 17px;
  }
}
@media (min-width: 768px) {
  .form-horizontal .form-group-sm .control-label {
    padding-top: 6px;
    font-size: 12px;
  }
}
.btn {
  display: inline-block;
  margin-bottom: 0;
  font-weight: normal;
  text-align: center;
  white-space: nowrap;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  border-radius: 2px;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
  color: #333333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  background-image: none;
  outline: 0;
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
  cursor: not-allowed;
  filter: alpha(opacity=65);
  opacity: 0.65;
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
  color: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
  background-color: #ffffff;
  border-color: #cccccc;
}
.btn-default .badge {
  color: #ffffff;
  background-color: #333333;
}
.btn-primary {
  color: #ffffff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #ffffff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #ffffff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #ffffff;
  background-color: #286090;
  background-image: none;
  border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
  color: #ffffff;
  background-color: #204d74;
  border-color: #122b40;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary .badge {
  color: #337ab7;
  background-color: #ffffff;
}
.btn-success {
  color: #ffffff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #ffffff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #ffffff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #ffffff;
  background-color: #449d44;
  background-image: none;
  border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
  color: #ffffff;
  background-color: #398439;
  border-color: #255625;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success .badge {
  color: #5cb85c;
  background-color: #ffffff;
}
.btn-info {
  color: #ffffff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #ffffff;
  background-color: #31b0d5;
  background-image: none;
  border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
  color: #ffffff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info .badge {
  color: #5bc0de;
  background-color: #ffffff;
}
.btn-warning {
  color: #ffffff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #ffffff;
  background-color: #ec971f;
  background-image: none;
  border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
  color: #ffffff;
  background-color: #d58512;
  border-color: #985f0d;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning .badge {
  color: #f0ad4e;
  background-color: #ffffff;
}
.btn-danger {
  color: #ffffff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #ffffff;
  background-color: #c9302c;
  background-image: none;
  border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
  color: #ffffff;
  background-color: #ac2925;
  border-color: #761c19;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger .badge {
  color: #d9534f;
  background-color: #ffffff;
}
.btn-link {
  font-weight: 400;
  color: #296eaa;
  border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
  background-color: transparent;
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
  border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
  color: #1a466c;
  text-decoration: underline;
  background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
  color: #777777;
  text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
  padding: 1px 5px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-block {
  display: block;
  width: 100%;
}
.btn-block + .btn-block {
  margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
  width: 100%;
}
.fade {
  opacity: 0;
  -webkit-transition: opacity 0.15s linear;
  -o-transition: opacity 0.15s linear;
  transition: opacity 0.15s linear;
}
.fade.in {
  opacity: 1;
}
.collapse {
  display: none;
}
.collapse.in {
  display: block;
}
tr.collapse.in {
  display: table-row;
}
tbody.collapse.in {
  display: table-row-group;
}
.collapsing {
  position: relative;
  height: 0;
  overflow: hidden;
  -webkit-transition-property: height, visibility;
  transition-property: height, visibility;
  -webkit-transition-duration: 0.35s;
  transition-duration: 0.35s;
  -webkit-transition-timing-function: ease;
  transition-timing-function: ease;
}
.caret {
  display: inline-block;
  width: 0;
  height: 0;
  margin-left: 2px;
  vertical-align: middle;
  border-top: 4px dashed;
  border-top: 4px solid \9;
  border-right: 4px solid transparent;
  border-left: 4px solid transparent;
}
.dropup,
.dropdown {
  position: relative;
}
.dropdown-toggle:focus {
  outline: 0;
}
.dropdown-menu {
  position: absolute;
  top: 100%;
  left: 0;
  z-index: 1000;
  display: none;
  float: left;
  min-width: 160px;
  padding: 5px 0;
  margin: 2px 0 0;
  font-size: 13px;
  text-align: left;
  list-style: none;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #cccccc;
  border: 1px solid rgba(0, 0, 0, 0.15);
  border-radius: 2px;
  -webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
}
.dropdown-menu.pull-right {
  right: 0;
  left: auto;
}
.dropdown-menu .divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.dropdown-menu > li > a {
  display: block;
  padding: 3px 20px;
  clear: both;
  font-weight: 400;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  color: #262626;
  text-decoration: none;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #ffffff;
  text-decoration: none;
  background-color: #337ab7;
  outline: 0;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  text-decoration: none;
  cursor: not-allowed;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  right: 0;
  left: auto;
}
.dropdown-menu-left {
  right: auto;
  left: 0;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  content: "";
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    right: 0;
    left: auto;
  }
  .navbar-right .dropdown-menu-left {
    right: auto;
    left: 0;
  }
}
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
  position: relative;
  float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
  z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
  margin-left: -1px;
}
.btn-toolbar {
  margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
  float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
  margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}
.btn-group > .btn:first-child {
  margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
  border-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-top-left-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-left-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-right: 8px;
  padding-left: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-right: 12px;
  padding-left: 12px;
}
.btn-group.open .dropdown-toggle {
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn .caret {
  margin-left: 0;
}
.btn-lg .caret {
  border-width: 5px 5px 0;
  border-bottom-width: 0;
}
.dropup .btn-lg .caret {
  border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
  display: block;
  float: none;
  width: 100%;
  max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
  float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
  margin-top: -1px;
  margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
  border-top-left-radius: 2px;
  border-top-right-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-left-radius: 0;
  border-top-right-radius: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  display: table-cell;
  float: none;
  width: 1%;
}
.btn-group-justified > .btn-group .btn {
  width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
  left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
  position: absolute;
  clip: rect(0, 0, 0, 0);
  pointer-events: none;
}
.input-group {
  position: relative;
  display: table;
  border-collapse: separate;
}
.input-group[class*="col-"] {
  float: none;
  padding-right: 0;
  padding-left: 0;
}
.input-group .form-control {
  position: relative;
  z-index: 2;
  float: left;
  width: 100%;
  margin-bottom: 0;
}
.input-group .form-control:focus {
  z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
  height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
  height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
  display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.input-group-addon,
.input-group-btn {
  width: 1%;
  white-space: nowrap;
  vertical-align: middle;
}
.input-group-addon {
  padding: 6px 12px;
  font-size: 13px;
  font-weight: 400;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #cccccc;
  border-radius: 2px;
}
.input-group-addon.input-sm {
  padding: 5px 10px;
  font-size: 12px;
  border-radius: 1px;
}
.input-group-addon.input-lg {
  padding: 10px 16px;
  font-size: 17px;
  border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
  margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
  border-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.input-group-addon:first-child {
  border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
  border-top-left-radius: 0;
  border-bottom-left-radius: 0;
}
.input-group-addon:last-child {
  border-left: 0;
}
.input-group-btn {
  position: relative;
  font-size: 0;
  white-space: nowrap;
}
.input-group-btn > .btn {
  position: relative;
}
.input-group-btn > .btn + .btn {
  margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
  z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
  margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
  z-index: 2;
  margin-left: -1px;
}
.nav {
  padding-left: 0;
  margin-bottom: 0;
  list-style: none;
}
.nav > li {
  position: relative;
  display: block;
}
.nav > li > a {
  position: relative;
  display: block;
  padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.nav > li.disabled > a {
  color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
  color: #777777;
  text-decoration: none;
  cursor: not-allowed;
  background-color: transparent;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #296eaa;
}
.nav .nav-divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.nav > li > a > img {
  max-width: none;
}
.nav-tabs {
  border-bottom: 1px solid #dddddd;
}
.nav-tabs > li {
  float: left;
  margin-bottom: -1px;
}
.nav-tabs > li > a {
  margin-right: 2px;
  line-height: 1.42857143;
  border: 1px solid transparent;
  border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
  border-color: #eeeeee #eeeeee #dddddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  cursor: default;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-bottom-color: transparent;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  margin-bottom: 5px;
  text-align: center;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-tabs.nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs.nav-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
  border: 1px solid #dddddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #dddddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs.nav-justified > .active > a,
  .nav-tabs.nav-justified > .active > a:hover,
  .nav-tabs.nav-justified > .active > a:focus {
    border-bottom-color: #ffffff;
  }
}
.nav-pills > li {
  float: left;
}
.nav-pills > li > a {
  border-radius: 2px;
}
.nav-pills > li + li {
  margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
  color: #ffffff;
  background-color: #337ab7;
}
.nav-stacked > li {
  float: none;
}
.nav-stacked > li + li {
  margin-top: 2px;
  margin-left: 0;
}
.nav-justified {
  width: 100%;
}
.nav-justified > li {
  float: none;
}
.nav-justified > li > a {
  margin-bottom: 5px;
  text-align: center;
}
.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs-justified {
  border-bottom: 0;
}
.nav-tabs-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
  border: 1px solid #dddddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #dddddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs-justified > .active > a,
  .nav-tabs-justified > .active > a:hover,
  .nav-tabs-justified > .active > a:focus {
    border-bottom-color: #ffffff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.navbar {
  position: relative;
  min-height: 30px;
  margin-bottom: 18px;
  border: 1px solid transparent;
}
@media (min-width: 541px) {
  .navbar {
    border-radius: 2px;
  }
}
@media (min-width: 541px) {
  .navbar-header {
    float: left;
  }
}
.navbar-collapse {
  padding-right: 0px;
  padding-left: 0px;
  overflow-x: visible;
  border-top: 1px solid transparent;
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
  -webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
  overflow-y: auto;
}
@media (min-width: 541px) {
  .navbar-collapse {
    width: auto;
    border-top: 0;
    box-shadow: none;
  }
  .navbar-collapse.collapse {
    display: block !important;
    height: auto !important;
    padding-bottom: 0;
    overflow: visible !important;
  }
  .navbar-collapse.in {
    overflow-y: visible;
  }
  .navbar-fixed-top .navbar-collapse,
  .navbar-static-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    padding-right: 0;
    padding-left: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
  max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
  .navbar-fixed-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    max-height: 200px;
  }
}
@media (min-width: 541px) {
  .navbar-fixed-top,
  .navbar-fixed-bottom {
    border-radius: 0;
  }
}
.navbar-fixed-top {
  top: 0;
  border-width: 0 0 1px;
}
.navbar-fixed-bottom {
  bottom: 0;
  margin-bottom: 0;
  border-width: 1px 0 0;
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 541px) {
  .container > .navbar-header,
  .container-fluid > .navbar-header,
  .container > .navbar-collapse,
  .container-fluid > .navbar-collapse {
    margin-right: 0;
    margin-left: 0;
  }
}
.navbar-static-top {
  z-index: 1000;
  border-width: 0 0 1px;
}
@media (min-width: 541px) {
  .navbar-static-top {
    border-radius: 0;
  }
}
.navbar-brand {
  float: left;
  height: 30px;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
}
.navbar-brand:hover,
.navbar-brand:focus {
  text-decoration: none;
}
.navbar-brand > img {
  display: block;
}
@media (min-width: 541px) {
  .navbar > .container .navbar-brand,
  .navbar > .container-fluid .navbar-brand {
    margin-left: 0px;
  }
}
.navbar-toggle {
  position: relative;
  float: right;
  padding: 9px 10px;
  margin-right: 0px;
  margin-top: -2px;
  margin-bottom: -2px;
  background-color: transparent;
  background-image: none;
  border: 1px solid transparent;
  border-radius: 2px;
}
.navbar-toggle:focus {
  outline: 0;
}
.navbar-toggle .icon-bar {
  display: block;
  width: 22px;
  height: 2px;
  border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
  margin-top: 4px;
}
@media (min-width: 541px) {
  .navbar-toggle {
    display: none;
  }
}
.navbar-nav {
  margin: 3px 0px;
}
.navbar-nav > li > a {
  padding-top: 10px;
  padding-bottom: 10px;
  line-height: 18px;
}
@media (max-width: 540px) {
  .navbar-nav .open .dropdown-menu {
    position: static;
    float: none;
    width: auto;
    margin-top: 0;
    background-color: transparent;
    border: 0;
    box-shadow: none;
  }
  .navbar-nav .open .dropdown-menu > li > a,
  .navbar-nav .open .dropdown-menu .dropdown-header {
    padding: 5px 15px 5px 25px;
  }
  .navbar-nav .open .dropdown-menu > li > a {
    line-height: 18px;
  }
  .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-nav .open .dropdown-menu > li > a:focus {
    background-image: none;
  }
}
@media (min-width: 541px) {
  .navbar-nav {
    float: left;
    margin: 0;
  }
  .navbar-nav > li {
    float: left;
  }
  .navbar-nav > li > a {
    padding-top: 6px;
    padding-bottom: 6px;
  }
}
.navbar-form {
  padding: 10px 0px;
  margin-right: 0px;
  margin-left: 0px;
  border-top: 1px solid transparent;
  border-bottom: 1px solid transparent;
  -webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  margin-top: -1px;
  margin-bottom: -1px;
}
@media (min-width: 768px) {
  .navbar-form .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .navbar-form .form-control-static {
    display: inline-block;
  }
  .navbar-form .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .navbar-form .input-group .input-group-addon,
  .navbar-form .input-group .input-group-btn,
  .navbar-form .input-group .form-control {
    width: auto;
  }
  .navbar-form .input-group > .form-control {
    width: 100%;
  }
  .navbar-form .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio,
  .navbar-form .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio label,
  .navbar-form .checkbox label {
    padding-left: 0;
  }
  .navbar-form .radio input[type="radio"],
  .navbar-form .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .navbar-form .has-feedback .form-control-feedback {
    top: 0;
  }
}
@media (max-width: 540px) {
  .navbar-form .form-group {
    margin-bottom: 5px;
  }
  .navbar-form .form-group:last-child {
    margin-bottom: 0;
  }
}
@media (min-width: 541px) {
  .navbar-form {
    width: auto;
    padding-top: 0;
    padding-bottom: 0;
    margin-right: 0;
    margin-left: 0;
    border: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-left-radius: 2px;
  border-top-right-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.navbar-btn {
  margin-top: -1px;
  margin-bottom: -1px;
}
.navbar-btn.btn-sm {
  margin-top: 0px;
  margin-bottom: 0px;
}
.navbar-btn.btn-xs {
  margin-top: 4px;
  margin-bottom: 4px;
}
.navbar-text {
  margin-top: 6px;
  margin-bottom: 6px;
}
@media (min-width: 541px) {
  .navbar-text {
    float: left;
    margin-right: 0px;
    margin-left: 0px;
  }
}
@media (min-width: 541px) {
  .navbar-left {
    float: left !important;
    float: left;
  }
  .navbar-right {
    float: right !important;
    float: right;
    margin-right: 0px;
  }
  .navbar-right ~ .navbar-right {
    margin-right: 0;
  }
}
.navbar-default {
  background-color: #f8f8f8;
  border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
  color: #565656;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #3c3c3c;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777777;
}
.navbar-default .navbar-nav > li > a {
  color: #565656;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #cccccc;
  background-color: transparent;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  color: #555555;
  background-color: #e7e7e7;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #565656;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333333;
    background-color: transparent;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #555555;
    background-color: #e7e7e7;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #cccccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-toggle {
  border-color: #dddddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #dddddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-link {
  color: #565656;
}
.navbar-default .navbar-link:hover {
  color: #333333;
}
.navbar-default .btn-link {
  color: #565656;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
  color: #cccccc;
}
.navbar-inverse {
  background-color: #222222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #ffffff;
  background-color: transparent;
}
.navbar-inverse .navbar-text {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
  color: #ffffff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #ffffff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444444;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  color: #ffffff;
  background-color: #080808;
}
@media (max-width: 540px) {
  .navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
    border-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu .divider {
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
    color: #9d9d9d;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #ffffff;
    background-color: transparent;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #ffffff;
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #444444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-toggle {
  border-color: #333333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #ffffff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #ffffff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #ffffff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
  color: #444444;
}
.breadcrumb {
  padding: 8px 15px;
  margin-bottom: 18px;
  list-style: none;
  background-color: #f5f5f5;
  border-radius: 2px;
}
.breadcrumb > li {
  display: inline-block;
}
.breadcrumb > li + li:before {
  padding: 0 5px;
  color: #5e5e5e;
  content: "/\00a0";
}
.breadcrumb > .active {
  color: #777777;
}
.pagination {
  display: inline-block;
  padding-left: 0;
  margin: 18px 0;
  border-radius: 2px;
}
.pagination > li {
  display: inline;
}
.pagination > li > a,
.pagination > li > span {
  position: relative;
  float: left;
  padding: 6px 12px;
  margin-left: -1px;
  line-height: 1.42857143;
  color: #296eaa;
  text-decoration: none;
  background-color: #ffffff;
  border: 1px solid #dddddd;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #1a466c;
  background-color: #eeeeee;
  border-color: #dddddd;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-top-left-radius: 2px;
  border-bottom-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-top-right-radius: 2px;
  border-bottom-right-radius: 2px;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
  z-index: 3;
  color: #ffffff;
  cursor: default;
  background-color: #337ab7;
  border-color: #337ab7;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  cursor: not-allowed;
  background-color: #ffffff;
  border-color: #dddddd;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
  border-top-left-radius: 3px;
  border-bottom-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-top-right-radius: 3px;
  border-bottom-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
  border-top-left-radius: 1px;
  border-bottom-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-top-right-radius: 1px;
  border-bottom-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  text-align: center;
  list-style: none;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
  float: right;
}
.pager .previous > a,
.pager .previous > span {
  float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
  color: #777777;
  cursor: not-allowed;
  background-color: #ffffff;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: 700;
  line-height: 1;
  color: #ffffff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #ffffff;
  text-decoration: none;
  cursor: pointer;
}
.label:empty {
  display: none;
}
.btn .label {
  position: relative;
  top: -1px;
}
.label-default {
  background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
  background-color: #5e5e5e;
}
.label-primary {
  background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
  background-color: #286090;
}
.label-success {
  background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
  background-color: #449d44;
}
.label-info {
  background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
  background-color: #31b0d5;
}
.label-warning {
  background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
  background-color: #ec971f;
}
.label-danger {
  background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
  background-color: #c9302c;
}
.badge {
  display: inline-block;
  min-width: 10px;
  padding: 3px 7px;
  font-size: 12px;
  font-weight: bold;
  line-height: 1;
  color: #ffffff;
  text-align: center;
  white-space: nowrap;
  vertical-align: middle;
  background-color: #777777;
  border-radius: 10px;
}
.badge:empty {
  display: none;
}
.btn .badge {
  position: relative;
  top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
  top: 0;
  padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
  color: #ffffff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #296eaa;
  background-color: #ffffff;
}
.list-group-item > .badge {
  float: right;
}
.list-group-item > .badge + .badge {
  margin-right: 5px;
}
.nav-pills > li > a > .badge {
  margin-left: 3px;
}
.jumbotron {
  padding-top: 30px;
  padding-bottom: 30px;
  margin-bottom: 30px;
  color: inherit;
  background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
  color: inherit;
}
.jumbotron p {
  margin-bottom: 15px;
  font-size: 20px;
  font-weight: 200;
}
.jumbotron > hr {
  border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
  padding-right: 0px;
  padding-left: 0px;
  border-radius: 3px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-right: 60px;
    padding-left: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-radius: 2px;
  -webkit-transition: border 0.2s ease-in-out;
  -o-transition: border 0.2s ease-in-out;
  transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
  margin-right: auto;
  margin-left: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #296eaa;
}
.thumbnail .caption {
  padding: 9px;
  color: #000000;
}
.alert {
  padding: 15px;
  margin-bottom: 18px;
  border: 1px solid transparent;
  border-radius: 2px;
}
.alert h4 {
  margin-top: 0;
  color: inherit;
}
.alert .alert-link {
  font-weight: bold;
}
.alert > p,
.alert > ul {
  margin-bottom: 0;
}
.alert > p + p {
  margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
  padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
  position: relative;
  top: -2px;
  right: -21px;
  color: inherit;
}
.alert-success {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.alert-danger hr {
  border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
  color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
@keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
.progress {
  height: 18px;
  margin-bottom: 18px;
  overflow: hidden;
  background-color: #f5f5f5;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
  box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
  float: left;
  width: 0%;
  height: 100%;
  font-size: 12px;
  line-height: 18px;
  color: #ffffff;
  text-align: center;
  background-color: #337ab7;
  -webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  -webkit-transition: width 0.6s ease;
  -o-transition: width 0.6s ease;
  transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
  -webkit-animation: progress-bar-stripes 2s linear infinite;
  -o-animation: progress-bar-stripes 2s linear infinite;
  animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
  background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
  background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
  background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
  background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
  margin-top: 15px;
}
.media:first-child {
  margin-top: 0;
}
.media,
.media-body {
  overflow: hidden;
  zoom: 1;
}
.media-body {
  width: 10000px;
}
.media-object {
  display: block;
}
.media-object.img-thumbnail {
  max-width: none;
}
.media-right,
.media > .pull-right {
  padding-left: 10px;
}
.media-left,
.media > .pull-left {
  padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
  display: table-cell;
  vertical-align: top;
}
.media-middle {
  vertical-align: middle;
}
.media-bottom {
  vertical-align: bottom;
}
.media-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.media-list {
  padding-left: 0;
  list-style: none;
}
.list-group {
  padding-left: 0;
  margin-bottom: 20px;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #ffffff;
  border: 1px solid #dddddd;
}
.list-group-item:first-child {
  border-top-left-radius: 2px;
  border-top-right-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  color: #777777;
  cursor: not-allowed;
  background-color: #eeeeee;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
  color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
  color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
  z-index: 2;
  color: #ffffff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
  color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
  color: #c7ddef;
}
a.list-group-item,
button.list-group-item {
  color: #555555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  color: #555555;
  text-decoration: none;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.list-group-item-success {
  color: #3c763d;
  background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
  color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
  color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
  color: #3c763d;
  background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
  color: #fff;
  background-color: #3c763d;
  border-color: #3c763d;
}
.list-group-item-info {
  color: #31708f;
  background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
  color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
  color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
  color: #31708f;
  background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
  color: #fff;
  background-color: #31708f;
  border-color: #31708f;
}
.list-group-item-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
  color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
  color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
  color: #8a6d3b;
  background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
  color: #fff;
  background-color: #8a6d3b;
  border-color: #8a6d3b;
}
.list-group-item-danger {
  color: #a94442;
  background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
  color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
  color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
  color: #a94442;
  background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
  color: #fff;
  background-color: #a94442;
  border-color: #a94442;
}
.list-group-item-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.list-group-item-text {
  margin-bottom: 0;
  line-height: 1.3;
}
.panel {
  margin-bottom: 18px;
  background-color: #ffffff;
  border: 1px solid transparent;
  border-radius: 2px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
  padding: 15px;
}
.panel-heading {
  padding: 10px 15px;
  border-bottom: 1px solid transparent;
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
  color: inherit;
}
.panel-title {
  margin-top: 0;
  margin-bottom: 0;
  font-size: 15px;
  color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
  color: inherit;
}
.panel-footer {
  padding: 10px 15px;
  background-color: #f5f5f5;
  border-top: 1px solid #dddddd;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
  margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
  border-width: 1px 0;
  border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
  border-top: 0;
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
  border-bottom: 0;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
  border-top-width: 0;
}
.list-group + .panel-footer {
  border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
  margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
  padding-right: 15px;
  padding-left: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
  border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
  border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
  border-top: 1px solid #dddddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
  border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
  border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
  border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
  border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
  border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
  border-bottom: 0;
}
.panel > .table-responsive {
  margin-bottom: 0;
  border: 0;
}
.panel-group {
  margin-bottom: 18px;
}
.panel-group .panel {
  margin-bottom: 0;
  border-radius: 2px;
}
.panel-group .panel + .panel {
  margin-top: 5px;
}
.panel-group .panel-heading {
  border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
  border-top: 1px solid #dddddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #dddddd;
}
.panel-default {
  border-color: #dddddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #dddddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #dddddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #dddddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #ffffff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
  color: #337ab7;
  background-color: #ffffff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #337ab7;
}
.panel-success {
  border-color: #d6e9c6;
}
.panel-success > .panel-heading {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
  color: #dff0d8;
  background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #d6e9c6;
}
.panel-info {
  border-color: #bce8f1;
}
.panel-info > .panel-heading {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
  color: #d9edf7;
  background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #bce8f1;
}
.panel-warning {
  border-color: #faebcc;
}
.panel-warning > .panel-heading {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
  color: #fcf8e3;
  background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #faebcc;
}
.panel-danger {
  border-color: #ebccd1;
}
.panel-danger > .panel-heading {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
  color: #f2dede;
  background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ebccd1;
}
.embed-responsive {
  position: relative;
  display: block;
  height: 0;
  padding: 0;
  overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
  position: absolute;
  top: 0;
  bottom: 0;
  left: 0;
  width: 100%;
  height: 100%;
  border: 0;
}
.embed-responsive-16by9 {
  padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
  padding-bottom: 75%;
}
.well {
  min-height: 20px;
  padding: 19px;
  margin-bottom: 20px;
  background-color: #f5f5f5;
  border: 1px solid #e3e3e3;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
  border-color: #ddd;
  border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
  padding: 24px;
  border-radius: 3px;
}
.well-sm {
  padding: 9px;
  border-radius: 1px;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000000;
  text-shadow: 0 1px 0 #ffffff;
  filter: alpha(opacity=20);
  opacity: 0.2;
}
.close:hover,
.close:focus {
  color: #000000;
  text-decoration: none;
  cursor: pointer;
  filter: alpha(opacity=50);
  opacity: 0.5;
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
  appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  display: none;
  overflow: hidden;
  -webkit-overflow-scrolling: touch;
  outline: 0;
}
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
  -ms-transform: translate(0, -25%);
  -o-transform: translate(0, -25%);
  transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
  -moz-transition: -moz-transform 0.3s ease-out;
  -o-transition: -o-transform 0.3s ease-out;
  transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
.modal-open .modal {
  overflow-x: hidden;
  overflow-y: auto;
}
.modal-dialog {
  position: relative;
  width: auto;
  margin: 10px;
}
.modal-content {
  position: relative;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #999999;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000000;
}
.modal-backdrop.fade {
  filter: alpha(opacity=0);
  opacity: 0;
}
.modal-backdrop.in {
  filter: alpha(opacity=50);
  opacity: 0.5;
}
.modal-header {
  padding: 15px;
  border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
  margin-top: -2px;
}
.modal-title {
  margin: 0;
  line-height: 1.42857143;
}
.modal-body {
  position: relative;
  padding: 15px;
}
.modal-footer {
  padding: 15px;
  text-align: right;
  border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
  margin-bottom: 0;
  margin-left: 5px;
}
.modal-footer .btn-group .btn + .btn {
  margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
  margin-left: 0;
}
.modal-scrollbar-measure {
  position: absolute;
  top: -9999px;
  width: 50px;
  height: 50px;
  overflow: scroll;
}
@media (min-width: 768px) {
  .modal-dialog {
    width: 600px;
    margin: 30px auto;
  }
  .modal-content {
    -webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
    box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
  }
  .modal-sm {
    width: 300px;
  }
}
@media (min-width: 992px) {
  .modal-lg {
    width: 900px;
  }
}
.tooltip {
  position: absolute;
  z-index: 1070;
  display: block;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: 400;
  line-height: 1.42857143;
  line-break: auto;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  letter-spacing: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  white-space: normal;
  font-size: 12px;
  filter: alpha(opacity=0);
  opacity: 0;
}
.tooltip.in {
  filter: alpha(opacity=90);
  opacity: 0.9;
}
.tooltip.top {
  padding: 5px 0;
  margin-top: -3px;
}
.tooltip.right {
  padding: 0 5px;
  margin-left: 3px;
}
.tooltip.bottom {
  padding: 5px 0;
  margin-top: 3px;
}
.tooltip.left {
  padding: 0 5px;
  margin-left: -3px;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.top-left .tooltip-arrow {
  right: 5px;
  bottom: 0;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #ffffff;
  text-align: center;
  background-color: #000000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover {
  position: absolute;
  top: 0;
  left: 0;
  z-index: 1060;
  display: none;
  max-width: 276px;
  padding: 1px;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: 400;
  line-height: 1.42857143;
  line-break: auto;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  letter-spacing: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  white-space: normal;
  font-size: 13px;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #cccccc;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
  box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
  margin-top: -10px;
}
.popover.right {
  margin-left: 10px;
}
.popover.bottom {
  margin-top: 10px;
}
.popover.left {
  margin-left: -10px;
}
.popover > .arrow {
  border-width: 11px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow:after {
  content: "";
  border-width: 10px;
}
.popover.top > .arrow {
  bottom: -11px;
  left: 50%;
  margin-left: -11px;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  border-bottom-width: 0;
}
.popover.top > .arrow:after {
  bottom: 1px;
  margin-left: -10px;
  content: " ";
  border-top-color: #ffffff;
  border-bottom-width: 0;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
  border-left-width: 0;
}
.popover.right > .arrow:after {
  bottom: -10px;
  left: 1px;
  content: " ";
  border-right-color: #ffffff;
  border-left-width: 0;
}
.popover.bottom > .arrow {
  top: -11px;
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
}
.popover.bottom > .arrow:after {
  top: 1px;
  margin-left: -10px;
  content: " ";
  border-top-width: 0;
  border-bottom-color: #ffffff;
}
.popover.left > .arrow {
  top: 50%;
  right: -11px;
  margin-top: -11px;
  border-right-width: 0;
  border-left-color: #999999;
  border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
  right: 1px;
  bottom: -10px;
  content: " ";
  border-right-width: 0;
  border-left-color: #ffffff;
}
.popover-title {
  padding: 8px 14px;
  margin: 0;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  width: 100%;
  overflow: hidden;
}
.carousel-inner > .item {
  position: relative;
  display: none;
  -webkit-transition: 0.6s ease-in-out left;
  -o-transition: 0.6s ease-in-out left;
  transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
  .carousel-inner > .item {
    -webkit-transition: -webkit-transform 0.6s ease-in-out;
    -moz-transition: -moz-transform 0.6s ease-in-out;
    -o-transition: -o-transform 0.6s ease-in-out;
    transition: transform 0.6s ease-in-out;
    -webkit-backface-visibility: hidden;
    -moz-backface-visibility: hidden;
    backface-visibility: hidden;
    -webkit-perspective: 1000px;
    -moz-perspective: 1000px;
    perspective: 1000px;
  }
  .carousel-inner > .item.next,
  .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(100%, 0, 0);
    transform: translate3d(100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.prev,
  .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(-100%, 0, 0);
    transform: translate3d(-100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.next.left,
  .carousel-inner > .item.prev.right,
  .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
    transform: translate3d(0, 0, 0);
    left: 0;
  }
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
  display: block;
}
.carousel-inner > .active {
  left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
  position: absolute;
  top: 0;
  width: 100%;
}
.carousel-inner > .next {
  left: 100%;
}
.carousel-inner > .prev {
  left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
  left: 0;
}
.carousel-inner > .active.left {
  left: -100%;
}
.carousel-inner > .active.right {
  left: 100%;
}
.carousel-control {
  position: absolute;
  top: 0;
  bottom: 0;
  left: 0;
  width: 15%;
  font-size: 20px;
  color: #ffffff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
  filter: alpha(opacity=50);
  opacity: 0.5;
}
.carousel-control.left {
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
  background-repeat: repeat-x;
}
.carousel-control.right {
  right: 0;
  left: auto;
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
  background-repeat: repeat-x;
}
.carousel-control:hover,
.carousel-control:focus {
  color: #ffffff;
  text-decoration: none;
  outline: 0;
  filter: alpha(opacity=90);
  opacity: 0.9;
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  z-index: 5;
  display: inline-block;
  margin-top: -10px;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
  left: 50%;
  margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
  right: 50%;
  margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
  width: 20px;
  height: 20px;
  font-family: serif;
  line-height: 1;
}
.carousel-control .icon-prev:before {
  content: "\2039";
}
.carousel-control .icon-next:before {
  content: "\203a";
}
.carousel-indicators {
  position: absolute;
  bottom: 10px;
  left: 50%;
  z-index: 15;
  width: 60%;
  padding-left: 0;
  margin-left: -30%;
  text-align: center;
  list-style: none;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
  border: 1px solid #ffffff;
  border-radius: 10px;
}
.carousel-indicators .active {
  width: 12px;
  height: 12px;
  margin: 0;
  background-color: #ffffff;
}
.carousel-caption {
  position: absolute;
  right: 15%;
  bottom: 20px;
  left: 15%;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #ffffff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
  text-shadow: none;
}
@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-prev,
  .carousel-control .icon-next {
    width: 30px;
    height: 30px;
    margin-top: -10px;
    font-size: 30px;
  }
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .icon-prev {
    margin-left: -10px;
  }
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-next {
    margin-right: -10px;
  }
  .carousel-caption {
    right: 20%;
    left: 20%;
    padding-bottom: 30px;
  }
  .carousel-indicators {
    bottom: 20px;
  }
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
  display: table;
  content: " ";
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
  clear: both;
}
.center-block {
  display: block;
  margin-right: auto;
  margin-left: auto;
}
.pull-right {
  float: right !important;
}
.pull-left {
  float: left !important;
}
.hide {
  display: none !important;
}
.show {
  display: block !important;
}
.invisible {
  visibility: hidden;
}
.text-hide {
  font: 0/0 a;
  color: transparent;
  text-shadow: none;
  background-color: transparent;
  border: 0;
}
.hidden {
  display: none !important;
}
.affix {
  position: fixed;
}
@-ms-viewport {
  width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
  display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
  display: none !important;
}
@media (max-width: 767px) {
  .visible-xs {
    display: block !important;
  }
  table.visible-xs {
    display: table !important;
  }
  tr.visible-xs {
    display: table-row !important;
  }
  th.visible-xs,
  td.visible-xs {
    display: table-cell !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-block {
    display: block !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline {
    display: inline !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm {
    display: block !important;
  }
  table.visible-sm {
    display: table !important;
  }
  tr.visible-sm {
    display: table-row !important;
  }
  th.visible-sm,
  td.visible-sm {
    display: table-cell !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-block {
    display: block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline {
    display: inline !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md {
    display: block !important;
  }
  table.visible-md {
    display: table !important;
  }
  tr.visible-md {
    display: table-row !important;
  }
  th.visible-md,
  td.visible-md {
    display: table-cell !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-block {
    display: block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline {
    display: inline !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg {
    display: block !important;
  }
  table.visible-lg {
    display: table !important;
  }
  tr.visible-lg {
    display: table-row !important;
  }
  th.visible-lg,
  td.visible-lg {
    display: table-cell !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-block {
    display: block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline {
    display: inline !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline-block {
    display: inline-block !important;
  }
}
@media (max-width: 767px) {
  .hidden-xs {
    display: none !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .hidden-sm {
    display: none !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .hidden-md {
    display: none !important;
  }
}
@media (min-width: 1200px) {
  .hidden-lg {
    display: none !important;
  }
}
.visible-print {
  display: none !important;
}
@media print {
  .visible-print {
    display: block !important;
  }
  table.visible-print {
    display: table !important;
  }
  tr.visible-print {
    display: table-row !important;
  }
  th.visible-print,
  td.visible-print {
    display: table-cell !important;
  }
}
.visible-print-block {
  display: none !important;
}
@media print {
  .visible-print-block {
    display: block !important;
  }
}
.visible-print-inline {
  display: none !important;
}
@media print {
  .visible-print-inline {
    display: inline !important;
  }
}
.visible-print-inline-block {
  display: none !important;
}
@media print {
  .visible-print-inline-block {
    display: inline-block !important;
  }
}
@media print {
  .hidden-print {
    display: none !important;
  }
}
/*!
*
* Font Awesome
*
*/
/*!
 *  Font Awesome 4.7.0 by @davegandy - http://fontawesome.io - @fontawesome
 *  License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
 */
/* FONT PATH
 * -------------------------- */
@font-face {
  font-family: 'FontAwesome';
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.7.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.7.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.7.0') format('woff2'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.7.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.7.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.7.0#fontawesomeregular') format('svg');
  font-weight: normal;
  font-style: normal;
}
.fa {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
  font-size: 1.33333333em;
  line-height: 0.75em;
  vertical-align: -15%;
}
.fa-2x {
  font-size: 2em;
}
.fa-3x {
  font-size: 3em;
}
.fa-4x {
  font-size: 4em;
}
.fa-5x {
  font-size: 5em;
}
.fa-fw {
  width: 1.28571429em;
  text-align: center;
}
.fa-ul {
  padding-left: 0;
  margin-left: 2.14285714em;
  list-style-type: none;
}
.fa-ul > li {
  position: relative;
}
.fa-li {
  position: absolute;
  left: -2.14285714em;
  width: 2.14285714em;
  top: 0.14285714em;
  text-align: center;
}
.fa-li.fa-lg {
  left: -1.85714286em;
}
.fa-border {
  padding: .2em .25em .15em;
  border: solid 0.08em #eeeeee;
  border-radius: .1em;
}
.fa-pull-left {
  float: left;
}
.fa-pull-right {
  float: right;
}
.fa.fa-pull-left {
  margin-right: .3em;
}
.fa.fa-pull-right {
  margin-left: .3em;
}
/* Deprecated as of 4.4.0 */
.pull-right {
  float: right;
}
.pull-left {
  float: left;
}
.fa.pull-left {
  margin-right: .3em;
}
.fa.pull-right {
  margin-left: .3em;
}
.fa-spin {
  -webkit-animation: fa-spin 2s infinite linear;
  animation: fa-spin 2s infinite linear;
}
.fa-pulse {
  -webkit-animation: fa-spin 1s infinite steps(8);
  animation: fa-spin 1s infinite steps(8);
}
@-webkit-keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
@keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
.fa-rotate-90 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1)";
  -webkit-transform: scale(-1, 1);
  -ms-transform: scale(-1, 1);
  transform: scale(-1, 1);
}
.fa-flip-vertical {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)";
  -webkit-transform: scale(1, -1);
  -ms-transform: scale(1, -1);
  transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
  filter: none;
}
.fa-stack {
  position: relative;
  display: inline-block;
  width: 2em;
  height: 2em;
  line-height: 2em;
  vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
  position: absolute;
  left: 0;
  width: 100%;
  text-align: center;
}
.fa-stack-1x {
  line-height: inherit;
}
.fa-stack-2x {
  font-size: 2em;
}
.fa-inverse {
  color: #ffffff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook-f:before,
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-feed:before,
.fa-rss:before {
  content: "\f09e";
}
.fa-hdd-o:before {
  content: "\f0a0";
}
.fa-bullhorn:before {
  content: "\f0a1";
}
.fa-bell:before {
  content: "\f0f3";
}
.fa-certificate:before {
  content: "\f0a3";
}
.fa-hand-o-right:before {
  content: "\f0a4";
}
.fa-hand-o-left:before {
  content: "\f0a5";
}
.fa-hand-o-up:before {
  content: "\f0a6";
}
.fa-hand-o-down:before {
  content: "\f0a7";
}
.fa-arrow-circle-left:before {
  content: "\f0a8";
}
.fa-arrow-circle-right:before {
  content: "\f0a9";
}
.fa-arrow-circle-up:before {
  content: "\f0aa";
}
.fa-arrow-circle-down:before {
  content: "\f0ab";
}
.fa-globe:before {
  content: "\f0ac";
}
.fa-wrench:before {
  content: "\f0ad";
}
.fa-tasks:before {
  content: "\f0ae";
}
.fa-filter:before {
  content: "\f0b0";
}
.fa-briefcase:before {
  content: "\f0b1";
}
.fa-arrows-alt:before {
  content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
  content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
  content: "\f0c1";
}
.fa-cloud:before {
  content: "\f0c2";
}
.fa-flask:before {
  content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
  content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
  content: "\f0c5";
}
.fa-paperclip:before {
  content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
  content: "\f0c7";
}
.fa-square:before {
  content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
  content: "\f0c9";
}
.fa-list-ul:before {
  content: "\f0ca";
}
.fa-list-ol:before {
  content: "\f0cb";
}
.fa-strikethrough:before {
  content: "\f0cc";
}
.fa-underline:before {
  content: "\f0cd";
}
.fa-table:before {
  content: "\f0ce";
}
.fa-magic:before {
  content: "\f0d0";
}
.fa-truck:before {
  content: "\f0d1";
}
.fa-pinterest:before {
  content: "\f0d2";
}
.fa-pinterest-square:before {
  content: "\f0d3";
}
.fa-google-plus-square:before {
  content: "\f0d4";
}
.fa-google-plus:before {
  content: "\f0d5";
}
.fa-money:before {
  content: "\f0d6";
}
.fa-caret-down:before {
  content: "\f0d7";
}
.fa-caret-up:before {
  content: "\f0d8";
}
.fa-caret-left:before {
  content: "\f0d9";
}
.fa-caret-right:before {
  content: "\f0da";
}
.fa-columns:before {
  content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
  content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
  content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
  content: "\f0de";
}
.fa-envelope:before {
  content: "\f0e0";
}
.fa-linkedin:before {
  content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
  content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
  content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
  content: "\f0e4";
}
.fa-comment-o:before {
  content: "\f0e5";
}
.fa-comments-o:before {
  content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
  content: "\f0e7";
}
.fa-sitemap:before {
  content: "\f0e8";
}
.fa-umbrella:before {
  content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
  content: "\f0ea";
}
.fa-lightbulb-o:before {
  content: "\f0eb";
}
.fa-exchange:before {
  content: "\f0ec";
}
.fa-cloud-download:before {
  content: "\f0ed";
}
.fa-cloud-upload:before {
  content: "\f0ee";
}
.fa-user-md:before {
  content: "\f0f0";
}
.fa-stethoscope:before {
  content: "\f0f1";
}
.fa-suitcase:before {
  content: "\f0f2";
}
.fa-bell-o:before {
  content: "\f0a2";
}
.fa-coffee:before {
  content: "\f0f4";
}
.fa-cutlery:before {
  content: "\f0f5";
}
.fa-file-text-o:before {
  content: "\f0f6";
}
.fa-building-o:before {
  content: "\f0f7";
}
.fa-hospital-o:before {
  content: "\f0f8";
}
.fa-ambulance:before {
  content: "\f0f9";
}
.fa-medkit:before {
  content: "\f0fa";
}
.fa-fighter-jet:before {
  content: "\f0fb";
}
.fa-beer:before {
  content: "\f0fc";
}
.fa-h-square:before {
  content: "\f0fd";
}
.fa-plus-square:before {
  content: "\f0fe";
}
.fa-angle-double-left:before {
  content: "\f100";
}
.fa-angle-double-right:before {
  content: "\f101";
}
.fa-angle-double-up:before {
  content: "\f102";
}
.fa-angle-double-down:before {
  content: "\f103";
}
.fa-angle-left:before {
  content: "\f104";
}
.fa-angle-right:before {
  content: "\f105";
}
.fa-angle-up:before {
  content: "\f106";
}
.fa-angle-down:before {
  content: "\f107";
}
.fa-desktop:before {
  content: "\f108";
}
.fa-laptop:before {
  content: "\f109";
}
.fa-tablet:before {
  content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
  content: "\f10b";
}
.fa-circle-o:before {
  content: "\f10c";
}
.fa-quote-left:before {
  content: "\f10d";
}
.fa-quote-right:before {
  content: "\f10e";
}
.fa-spinner:before {
  content: "\f110";
}
.fa-circle:before {
  content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
  content: "\f112";
}
.fa-github-alt:before {
  content: "\f113";
}
.fa-folder-o:before {
  content: "\f114";
}
.fa-folder-open-o:before {
  content: "\f115";
}
.fa-smile-o:before {
  content: "\f118";
}
.fa-frown-o:before {
  content: "\f119";
}
.fa-meh-o:before {
  content: "\f11a";
}
.fa-gamepad:before {
  content: "\f11b";
}
.fa-keyboard-o:before {
  content: "\f11c";
}
.fa-flag-o:before {
  content: "\f11d";
}
.fa-flag-checkered:before {
  content: "\f11e";
}
.fa-terminal:before {
  content: "\f120";
}
.fa-code:before {
  content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
  content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
  content: "\f123";
}
.fa-location-arrow:before {
  content: "\f124";
}
.fa-crop:before {
  content: "\f125";
}
.fa-code-fork:before {
  content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
  content: "\f127";
}
.fa-question:before {
  content: "\f128";
}
.fa-info:before {
  content: "\f129";
}
.fa-exclamation:before {
  content: "\f12a";
}
.fa-superscript:before {
  content: "\f12b";
}
.fa-subscript:before {
  content: "\f12c";
}
.fa-eraser:before {
  content: "\f12d";
}
.fa-puzzle-piece:before {
  content: "\f12e";
}
.fa-microphone:before {
  content: "\f130";
}
.fa-microphone-slash:before {
  content: "\f131";
}
.fa-shield:before {
  content: "\f132";
}
.fa-calendar-o:before {
  content: "\f133";
}
.fa-fire-extinguisher:before {
  content: "\f134";
}
.fa-rocket:before {
  content: "\f135";
}
.fa-maxcdn:before {
  content: "\f136";
}
.fa-chevron-circle-left:before {
  content: "\f137";
}
.fa-chevron-circle-right:before {
  content: "\f138";
}
.fa-chevron-circle-up:before {
  content: "\f139";
}
.fa-chevron-circle-down:before {
  content: "\f13a";
}
.fa-html5:before {
  content: "\f13b";
}
.fa-css3:before {
  content: "\f13c";
}
.fa-anchor:before {
  content: "\f13d";
}
.fa-unlock-alt:before {
  content: "\f13e";
}
.fa-bullseye:before {
  content: "\f140";
}
.fa-ellipsis-h:before {
  content: "\f141";
}
.fa-ellipsis-v:before {
  content: "\f142";
}
.fa-rss-square:before {
  content: "\f143";
}
.fa-play-circle:before {
  content: "\f144";
}
.fa-ticket:before {
  content: "\f145";
}
.fa-minus-square:before {
  content: "\f146";
}
.fa-minus-square-o:before {
  content: "\f147";
}
.fa-level-up:before {
  content: "\f148";
}
.fa-level-down:before {
  content: "\f149";
}
.fa-check-square:before {
  content: "\f14a";
}
.fa-pencil-square:before {
  content: "\f14b";
}
.fa-external-link-square:before {
  content: "\f14c";
}
.fa-share-square:before {
  content: "\f14d";
}
.fa-compass:before {
  content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
  content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
  content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
  content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
  content: "\f153";
}
.fa-gbp:before {
  content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
  content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
  content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
  content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
  content: "\f158";
}
.fa-won:before,
.fa-krw:before {
  content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
  content: "\f15a";
}
.fa-file:before {
  content: "\f15b";
}
.fa-file-text:before {
  content: "\f15c";
}
.fa-sort-alpha-asc:before {
  content: "\f15d";
}
.fa-sort-alpha-desc:before {
  content: "\f15e";
}
.fa-sort-amount-asc:before {
  content: "\f160";
}
.fa-sort-amount-desc:before {
  content: "\f161";
}
.fa-sort-numeric-asc:before {
  content: "\f162";
}
.fa-sort-numeric-desc:before {
  content: "\f163";
}
.fa-thumbs-up:before {
  content: "\f164";
}
.fa-thumbs-down:before {
  content: "\f165";
}
.fa-youtube-square:before {
  content: "\f166";
}
.fa-youtube:before {
  content: "\f167";
}
.fa-xing:before {
  content: "\f168";
}
.fa-xing-square:before {
  content: "\f169";
}
.fa-youtube-play:before {
  content: "\f16a";
}
.fa-dropbox:before {
  content: "\f16b";
}
.fa-stack-overflow:before {
  content: "\f16c";
}
.fa-instagram:before {
  content: "\f16d";
}
.fa-flickr:before {
  content: "\f16e";
}
.fa-adn:before {
  content: "\f170";
}
.fa-bitbucket:before {
  content: "\f171";
}
.fa-bitbucket-square:before {
  content: "\f172";
}
.fa-tumblr:before {
  content: "\f173";
}
.fa-tumblr-square:before {
  content: "\f174";
}
.fa-long-arrow-down:before {
  content: "\f175";
}
.fa-long-arrow-up:before {
  content: "\f176";
}
.fa-long-arrow-left:before {
  content: "\f177";
}
.fa-long-arrow-right:before {
  content: "\f178";
}
.fa-apple:before {
  content: "\f179";
}
.fa-windows:before {
  content: "\f17a";
}
.fa-android:before {
  content: "\f17b";
}
.fa-linux:before {
  content: "\f17c";
}
.fa-dribbble:before {
  content: "\f17d";
}
.fa-skype:before {
  content: "\f17e";
}
.fa-foursquare:before {
  content: "\f180";
}
.fa-trello:before {
  content: "\f181";
}
.fa-female:before {
  content: "\f182";
}
.fa-male:before {
  content: "\f183";
}
.fa-gittip:before,
.fa-gratipay:before {
  content: "\f184";
}
.fa-sun-o:before {
  content: "\f185";
}
.fa-moon-o:before {
  content: "\f186";
}
.fa-archive:before {
  content: "\f187";
}
.fa-bug:before {
  content: "\f188";
}
.fa-vk:before {
  content: "\f189";
}
.fa-weibo:before {
  content: "\f18a";
}
.fa-renren:before {
  content: "\f18b";
}
.fa-pagelines:before {
  content: "\f18c";
}
.fa-stack-exchange:before {
  content: "\f18d";
}
.fa-arrow-circle-o-right:before {
  content: "\f18e";
}
.fa-arrow-circle-o-left:before {
  content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
  content: "\f191";
}
.fa-dot-circle-o:before {
  content: "\f192";
}
.fa-wheelchair:before {
  content: "\f193";
}
.fa-vimeo-square:before {
  content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
  content: "\f195";
}
.fa-plus-square-o:before {
  content: "\f196";
}
.fa-space-shuttle:before {
  content: "\f197";
}
.fa-slack:before {
  content: "\f198";
}
.fa-envelope-square:before {
  content: "\f199";
}
.fa-wordpress:before {
  content: "\f19a";
}
.fa-openid:before {
  content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
  content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
  content: "\f19d";
}
.fa-yahoo:before {
  content: "\f19e";
}
.fa-google:before {
  content: "\f1a0";
}
.fa-reddit:before {
  content: "\f1a1";
}
.fa-reddit-square:before {
  content: "\f1a2";
}
.fa-stumbleupon-circle:before {
  content: "\f1a3";
}
.fa-stumbleupon:before {
  content: "\f1a4";
}
.fa-delicious:before {
  content: "\f1a5";
}
.fa-digg:before {
  content: "\f1a6";
}
.fa-pied-piper-pp:before {
  content: "\f1a7";
}
.fa-pied-piper-alt:before {
  content: "\f1a8";
}
.fa-drupal:before {
  content: "\f1a9";
}
.fa-joomla:before {
  content: "\f1aa";
}
.fa-language:before {
  content: "\f1ab";
}
.fa-fax:before {
  content: "\f1ac";
}
.fa-building:before {
  content: "\f1ad";
}
.fa-child:before {
  content: "\f1ae";
}
.fa-paw:before {
  content: "\f1b0";
}
.fa-spoon:before {
  content: "\f1b1";
}
.fa-cube:before {
  content: "\f1b2";
}
.fa-cubes:before {
  content: "\f1b3";
}
.fa-behance:before {
  content: "\f1b4";
}
.fa-behance-square:before {
  content: "\f1b5";
}
.fa-steam:before {
  content: "\f1b6";
}
.fa-steam-square:before {
  content: "\f1b7";
}
.fa-recycle:before {
  content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
  content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
  content: "\f1ba";
}
.fa-tree:before {
  content: "\f1bb";
}
.fa-spotify:before {
  content: "\f1bc";
}
.fa-deviantart:before {
  content: "\f1bd";
}
.fa-soundcloud:before {
  content: "\f1be";
}
.fa-database:before {
  content: "\f1c0";
}
.fa-file-pdf-o:before {
  content: "\f1c1";
}
.fa-file-word-o:before {
  content: "\f1c2";
}
.fa-file-excel-o:before {
  content: "\f1c3";
}
.fa-file-powerpoint-o:before {
  content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
  content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
  content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
  content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
  content: "\f1c8";
}
.fa-file-code-o:before {
  content: "\f1c9";
}
.fa-vine:before {
  content: "\f1ca";
}
.fa-codepen:before {
  content: "\f1cb";
}
.fa-jsfiddle:before {
  content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
  content: "\f1cd";
}
.fa-circle-o-notch:before {
  content: "\f1ce";
}
.fa-ra:before,
.fa-resistance:before,
.fa-rebel:before {
  content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
  content: "\f1d1";
}
.fa-git-square:before {
  content: "\f1d2";
}
.fa-git:before {
  content: "\f1d3";
}
.fa-y-combinator-square:before,
.fa-yc-square:before,
.fa-hacker-news:before {
  content: "\f1d4";
}
.fa-tencent-weibo:before {
  content: "\f1d5";
}
.fa-qq:before {
  content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
  content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
  content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
  content: "\f1d9";
}
.fa-history:before {
  content: "\f1da";
}
.fa-circle-thin:before {
  content: "\f1db";
}
.fa-header:before {
  content: "\f1dc";
}
.fa-paragraph:before {
  content: "\f1dd";
}
.fa-sliders:before {
  content: "\f1de";
}
.fa-share-alt:before {
  content: "\f1e0";
}
.fa-share-alt-square:before {
  content: "\f1e1";
}
.fa-bomb:before {
  content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
  content: "\f1e3";
}
.fa-tty:before {
  content: "\f1e4";
}
.fa-binoculars:before {
  content: "\f1e5";
}
.fa-plug:before {
  content: "\f1e6";
}
.fa-slideshare:before {
  content: "\f1e7";
}
.fa-twitch:before {
  content: "\f1e8";
}
.fa-yelp:before {
  content: "\f1e9";
}
.fa-newspaper-o:before {
  content: "\f1ea";
}
.fa-wifi:before {
  content: "\f1eb";
}
.fa-calculator:before {
  content: "\f1ec";
}
.fa-paypal:before {
  content: "\f1ed";
}
.fa-google-wallet:before {
  content: "\f1ee";
}
.fa-cc-visa:before {
  content: "\f1f0";
}
.fa-cc-mastercard:before {
  content: "\f1f1";
}
.fa-cc-discover:before {
  content: "\f1f2";
}
.fa-cc-amex:before {
  content: "\f1f3";
}
.fa-cc-paypal:before {
  content: "\f1f4";
}
.fa-cc-stripe:before {
  content: "\f1f5";
}
.fa-bell-slash:before {
  content: "\f1f6";
}
.fa-bell-slash-o:before {
  content: "\f1f7";
}
.fa-trash:before {
  content: "\f1f8";
}
.fa-copyright:before {
  content: "\f1f9";
}
.fa-at:before {
  content: "\f1fa";
}
.fa-eyedropper:before {
  content: "\f1fb";
}
.fa-paint-brush:before {
  content: "\f1fc";
}
.fa-birthday-cake:before {
  content: "\f1fd";
}
.fa-area-chart:before {
  content: "\f1fe";
}
.fa-pie-chart:before {
  content: "\f200";
}
.fa-line-chart:before {
  content: "\f201";
}
.fa-lastfm:before {
  content: "\f202";
}
.fa-lastfm-square:before {
  content: "\f203";
}
.fa-toggle-off:before {
  content: "\f204";
}
.fa-toggle-on:before {
  content: "\f205";
}
.fa-bicycle:before {
  content: "\f206";
}
.fa-bus:before {
  content: "\f207";
}
.fa-ioxhost:before {
  content: "\f208";
}
.fa-angellist:before {
  content: "\f209";
}
.fa-cc:before {
  content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
  content: "\f20b";
}
.fa-meanpath:before {
  content: "\f20c";
}
.fa-buysellads:before {
  content: "\f20d";
}
.fa-connectdevelop:before {
  content: "\f20e";
}
.fa-dashcube:before {
  content: "\f210";
}
.fa-forumbee:before {
  content: "\f211";
}
.fa-leanpub:before {
  content: "\f212";
}
.fa-sellsy:before {
  content: "\f213";
}
.fa-shirtsinbulk:before {
  content: "\f214";
}
.fa-simplybuilt:before {
  content: "\f215";
}
.fa-skyatlas:before {
  content: "\f216";
}
.fa-cart-plus:before {
  content: "\f217";
}
.fa-cart-arrow-down:before {
  content: "\f218";
}
.fa-diamond:before {
  content: "\f219";
}
.fa-ship:before {
  content: "\f21a";
}
.fa-user-secret:before {
  content: "\f21b";
}
.fa-motorcycle:before {
  content: "\f21c";
}
.fa-street-view:before {
  content: "\f21d";
}
.fa-heartbeat:before {
  content: "\f21e";
}
.fa-venus:before {
  content: "\f221";
}
.fa-mars:before {
  content: "\f222";
}
.fa-mercury:before {
  content: "\f223";
}
.fa-intersex:before,
.fa-transgender:before {
  content: "\f224";
}
.fa-transgender-alt:before {
  content: "\f225";
}
.fa-venus-double:before {
  content: "\f226";
}
.fa-mars-double:before {
  content: "\f227";
}
.fa-venus-mars:before {
  content: "\f228";
}
.fa-mars-stroke:before {
  content: "\f229";
}
.fa-mars-stroke-v:before {
  content: "\f22a";
}
.fa-mars-stroke-h:before {
  content: "\f22b";
}
.fa-neuter:before {
  content: "\f22c";
}
.fa-genderless:before {
  content: "\f22d";
}
.fa-facebook-official:before {
  content: "\f230";
}
.fa-pinterest-p:before {
  content: "\f231";
}
.fa-whatsapp:before {
  content: "\f232";
}
.fa-server:before {
  content: "\f233";
}
.fa-user-plus:before {
  content: "\f234";
}
.fa-user-times:before {
  content: "\f235";
}
.fa-hotel:before,
.fa-bed:before {
  content: "\f236";
}
.fa-viacoin:before {
  content: "\f237";
}
.fa-train:before {
  content: "\f238";
}
.fa-subway:before {
  content: "\f239";
}
.fa-medium:before {
  content: "\f23a";
}
.fa-yc:before,
.fa-y-combinator:before {
  content: "\f23b";
}
.fa-optin-monster:before {
  content: "\f23c";
}
.fa-opencart:before {
  content: "\f23d";
}
.fa-expeditedssl:before {
  content: "\f23e";
}
.fa-battery-4:before,
.fa-battery:before,
.fa-battery-full:before {
  content: "\f240";
}
.fa-battery-3:before,
.fa-battery-three-quarters:before {
  content: "\f241";
}
.fa-battery-2:before,
.fa-battery-half:before {
  content: "\f242";
}
.fa-battery-1:before,
.fa-battery-quarter:before {
  content: "\f243";
}
.fa-battery-0:before,
.fa-battery-empty:before {
  content: "\f244";
}
.fa-mouse-pointer:before {
  content: "\f245";
}
.fa-i-cursor:before {
  content: "\f246";
}
.fa-object-group:before {
  content: "\f247";
}
.fa-object-ungroup:before {
  content: "\f248";
}
.fa-sticky-note:before {
  content: "\f249";
}
.fa-sticky-note-o:before {
  content: "\f24a";
}
.fa-cc-jcb:before {
  content: "\f24b";
}
.fa-cc-diners-club:before {
  content: "\f24c";
}
.fa-clone:before {
  content: "\f24d";
}
.fa-balance-scale:before {
  content: "\f24e";
}
.fa-hourglass-o:before {
  content: "\f250";
}
.fa-hourglass-1:before,
.fa-hourglass-start:before {
  content: "\f251";
}
.fa-hourglass-2:before,
.fa-hourglass-half:before {
  content: "\f252";
}
.fa-hourglass-3:before,
.fa-hourglass-end:before {
  content: "\f253";
}
.fa-hourglass:before {
  content: "\f254";
}
.fa-hand-grab-o:before,
.fa-hand-rock-o:before {
  content: "\f255";
}
.fa-hand-stop-o:before,
.fa-hand-paper-o:before {
  content: "\f256";
}
.fa-hand-scissors-o:before {
  content: "\f257";
}
.fa-hand-lizard-o:before {
  content: "\f258";
}
.fa-hand-spock-o:before {
  content: "\f259";
}
.fa-hand-pointer-o:before {
  content: "\f25a";
}
.fa-hand-peace-o:before {
  content: "\f25b";
}
.fa-trademark:before {
  content: "\f25c";
}
.fa-registered:before {
  content: "\f25d";
}
.fa-creative-commons:before {
  content: "\f25e";
}
.fa-gg:before {
  content: "\f260";
}
.fa-gg-circle:before {
  content: "\f261";
}
.fa-tripadvisor:before {
  content: "\f262";
}
.fa-odnoklassniki:before {
  content: "\f263";
}
.fa-odnoklassniki-square:before {
  content: "\f264";
}
.fa-get-pocket:before {
  content: "\f265";
}
.fa-wikipedia-w:before {
  content: "\f266";
}
.fa-safari:before {
  content: "\f267";
}
.fa-chrome:before {
  content: "\f268";
}
.fa-firefox:before {
  content: "\f269";
}
.fa-opera:before {
  content: "\f26a";
}
.fa-internet-explorer:before {
  content: "\f26b";
}
.fa-tv:before,
.fa-television:before {
  content: "\f26c";
}
.fa-contao:before {
  content: "\f26d";
}
.fa-500px:before {
  content: "\f26e";
}
.fa-amazon:before {
  content: "\f270";
}
.fa-calendar-plus-o:before {
  content: "\f271";
}
.fa-calendar-minus-o:before {
  content: "\f272";
}
.fa-calendar-times-o:before {
  content: "\f273";
}
.fa-calendar-check-o:before {
  content: "\f274";
}
.fa-industry:before {
  content: "\f275";
}
.fa-map-pin:before {
  content: "\f276";
}
.fa-map-signs:before {
  content: "\f277";
}
.fa-map-o:before {
  content: "\f278";
}
.fa-map:before {
  content: "\f279";
}
.fa-commenting:before {
  content: "\f27a";
}
.fa-commenting-o:before {
  content: "\f27b";
}
.fa-houzz:before {
  content: "\f27c";
}
.fa-vimeo:before {
  content: "\f27d";
}
.fa-black-tie:before {
  content: "\f27e";
}
.fa-fonticons:before {
  content: "\f280";
}
.fa-reddit-alien:before {
  content: "\f281";
}
.fa-edge:before {
  content: "\f282";
}
.fa-credit-card-alt:before {
  content: "\f283";
}
.fa-codiepie:before {
  content: "\f284";
}
.fa-modx:before {
  content: "\f285";
}
.fa-fort-awesome:before {
  content: "\f286";
}
.fa-usb:before {
  content: "\f287";
}
.fa-product-hunt:before {
  content: "\f288";
}
.fa-mixcloud:before {
  content: "\f289";
}
.fa-scribd:before {
  content: "\f28a";
}
.fa-pause-circle:before {
  content: "\f28b";
}
.fa-pause-circle-o:before {
  content: "\f28c";
}
.fa-stop-circle:before {
  content: "\f28d";
}
.fa-stop-circle-o:before {
  content: "\f28e";
}
.fa-shopping-bag:before {
  content: "\f290";
}
.fa-shopping-basket:before {
  content: "\f291";
}
.fa-hashtag:before {
  content: "\f292";
}
.fa-bluetooth:before {
  content: "\f293";
}
.fa-bluetooth-b:before {
  content: "\f294";
}
.fa-percent:before {
  content: "\f295";
}
.fa-gitlab:before {
  content: "\f296";
}
.fa-wpbeginner:before {
  content: "\f297";
}
.fa-wpforms:before {
  content: "\f298";
}
.fa-envira:before {
  content: "\f299";
}
.fa-universal-access:before {
  content: "\f29a";
}
.fa-wheelchair-alt:before {
  content: "\f29b";
}
.fa-question-circle-o:before {
  content: "\f29c";
}
.fa-blind:before {
  content: "\f29d";
}
.fa-audio-description:before {
  content: "\f29e";
}
.fa-volume-control-phone:before {
  content: "\f2a0";
}
.fa-braille:before {
  content: "\f2a1";
}
.fa-assistive-listening-systems:before {
  content: "\f2a2";
}
.fa-asl-interpreting:before,
.fa-american-sign-language-interpreting:before {
  content: "\f2a3";
}
.fa-deafness:before,
.fa-hard-of-hearing:before,
.fa-deaf:before {
  content: "\f2a4";
}
.fa-glide:before {
  content: "\f2a5";
}
.fa-glide-g:before {
  content: "\f2a6";
}
.fa-signing:before,
.fa-sign-language:before {
  content: "\f2a7";
}
.fa-low-vision:before {
  content: "\f2a8";
}
.fa-viadeo:before {
  content: "\f2a9";
}
.fa-viadeo-square:before {
  content: "\f2aa";
}
.fa-snapchat:before {
  content: "\f2ab";
}
.fa-snapchat-ghost:before {
  content: "\f2ac";
}
.fa-snapchat-square:before {
  content: "\f2ad";
}
.fa-pied-piper:before {
  content: "\f2ae";
}
.fa-first-order:before {
  content: "\f2b0";
}
.fa-yoast:before {
  content: "\f2b1";
}
.fa-themeisle:before {
  content: "\f2b2";
}
.fa-google-plus-circle:before,
.fa-google-plus-official:before {
  content: "\f2b3";
}
.fa-fa:before,
.fa-font-awesome:before {
  content: "\f2b4";
}
.fa-handshake-o:before {
  content: "\f2b5";
}
.fa-envelope-open:before {
  content: "\f2b6";
}
.fa-envelope-open-o:before {
  content: "\f2b7";
}
.fa-linode:before {
  content: "\f2b8";
}
.fa-address-book:before {
  content: "\f2b9";
}
.fa-address-book-o:before {
  content: "\f2ba";
}
.fa-vcard:before,
.fa-address-card:before {
  content: "\f2bb";
}
.fa-vcard-o:before,
.fa-address-card-o:before {
  content: "\f2bc";
}
.fa-user-circle:before {
  content: "\f2bd";
}
.fa-user-circle-o:before {
  content: "\f2be";
}
.fa-user-o:before {
  content: "\f2c0";
}
.fa-id-badge:before {
  content: "\f2c1";
}
.fa-drivers-license:before,
.fa-id-card:before {
  content: "\f2c2";
}
.fa-drivers-license-o:before,
.fa-id-card-o:before {
  content: "\f2c3";
}
.fa-quora:before {
  content: "\f2c4";
}
.fa-free-code-camp:before {
  content: "\f2c5";
}
.fa-telegram:before {
  content: "\f2c6";
}
.fa-thermometer-4:before,
.fa-thermometer:before,
.fa-thermometer-full:before {
  content: "\f2c7";
}
.fa-thermometer-3:before,
.fa-thermometer-three-quarters:before {
  content: "\f2c8";
}
.fa-thermometer-2:before,
.fa-thermometer-half:before {
  content: "\f2c9";
}
.fa-thermometer-1:before,
.fa-thermometer-quarter:before {
  content: "\f2ca";
}
.fa-thermometer-0:before,
.fa-thermometer-empty:before {
  content: "\f2cb";
}
.fa-shower:before {
  content: "\f2cc";
}
.fa-bathtub:before,
.fa-s15:before,
.fa-bath:before {
  content: "\f2cd";
}
.fa-podcast:before {
  content: "\f2ce";
}
.fa-window-maximize:before {
  content: "\f2d0";
}
.fa-window-minimize:before {
  content: "\f2d1";
}
.fa-window-restore:before {
  content: "\f2d2";
}
.fa-times-rectangle:before,
.fa-window-close:before {
  content: "\f2d3";
}
.fa-times-rectangle-o:before,
.fa-window-close-o:before {
  content: "\f2d4";
}
.fa-bandcamp:before {
  content: "\f2d5";
}
.fa-grav:before {
  content: "\f2d6";
}
.fa-etsy:before {
  content: "\f2d7";
}
.fa-imdb:before {
  content: "\f2d8";
}
.fa-ravelry:before {
  content: "\f2d9";
}
.fa-eercast:before {
  content: "\f2da";
}
.fa-microchip:before {
  content: "\f2db";
}
.fa-snowflake-o:before {
  content: "\f2dc";
}
.fa-superpowers:before {
  content: "\f2dd";
}
.fa-wpexplorer:before {
  content: "\f2de";
}
.fa-meetup:before {
  content: "\f2e0";
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  padding: 0;
  margin: -1px;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
code {
  color: #000000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatibility layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

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

Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
}
.hbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.vbox {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
}
.vbox > * {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
  /* Old browsers */
  -webkit-box-direction: reverse;
  -moz-box-direction: reverse;
  box-direction: reverse;
  /* Modern browsers */
  flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
  /* Old browsers */
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
  /* Old browsers */
  -webkit-box-flex: 2;
  -moz-box-flex: 2;
  box-flex: 2;
  /* Modern browsers */
  flex: 2;
}
.box-group1 {
  /*  Deprecated */
  -webkit-box-flex-group: 1;
  -moz-box-flex-group: 1;
  box-flex-group: 1;
}
.box-group2 {
  /* Deprecated */
  -webkit-box-flex-group: 2;
  -moz-box-flex-group: 2;
  box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
  /* Old browsers */
  -webkit-box-pack: start;
  -moz-box-pack: start;
  box-pack: start;
  /* Modern browsers */
  justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
  /* Old browsers */
  -webkit-box-pack: center;
  -moz-box-pack: center;
  box-pack: center;
  /* Modern browsers */
  justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
  /* Old browsers */
  -webkit-box-pack: baseline;
  -moz-box-pack: baseline;
  box-pack: baseline;
  /* Modern browsers */
  justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
  /* Old browsers */
  -webkit-box-pack: stretch;
  -moz-box-pack: stretch;
  box-pack: stretch;
  /* Modern browsers */
  justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
  /* Old browsers */
  -webkit-box-align: start;
  -moz-box-align: start;
  box-align: start;
  /* Modern browsers */
  align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
  /* Old browsers */
  -webkit-box-align: end;
  -moz-box-align: end;
  box-align: end;
  /* Modern browsers */
  align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
  /* Old browsers */
  -webkit-box-align: center;
  -moz-box-align: center;
  box-align: center;
  /* Modern browsers */
  align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
  /* Old browsers */
  -webkit-box-align: baseline;
  -moz-box-align: baseline;
  box-align: baseline;
  /* Modern browsers */
  align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
  /* Old browsers */
  -webkit-box-align: stretch;
  -moz-box-align: stretch;
  box-align: stretch;
  /* Modern browsers */
  align-items: stretch;
}
div.error {
  margin: 2em;
  text-align: center;
}
div.error > h1 {
  font-size: 500%;
  line-height: normal;
}
div.error > p {
  font-size: 200%;
  line-height: normal;
}
div.traceback-wrapper {
  text-align: left;
  max-width: 800px;
  margin: auto;
}
div.traceback-wrapper pre.traceback {
  max-height: 600px;
  overflow: auto;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
body {
  background-color: #ffffff;
  /* This makes sure that the body covers the entire window and needs to
       be in a different element than the display: box in wrapper below */
  position: absolute;
  left: 0px;
  right: 0px;
  top: 0px;
  bottom: 0px;
  overflow: visible;
}
body > #header {
  /* Initially hidden to prevent FLOUC */
  display: none;
  background-color: #ffffff;
  /* Display over codemirror */
  position: relative;
  z-index: 100;
}
body > #header #header-container {
  display: flex;
  flex-direction: row;
  justify-content: space-between;
  padding: 5px;
  padding-bottom: 5px;
  padding-top: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
body > #header .header-bar {
  width: 100%;
  height: 1px;
  background: #e7e7e7;
  margin-bottom: -1px;
}
@media print {
  body > #header {
    display: none !important;
  }
}
#header-spacer {
  width: 100%;
  visibility: hidden;
}
@media print {
  #header-spacer {
    display: none;
  }
}
#ipython_notebook {
  padding-left: 0px;
  padding-top: 1px;
  padding-bottom: 1px;
}
[dir="rtl"] #ipython_notebook {
  margin-right: 10px;
  margin-left: 0;
}
[dir="rtl"] #ipython_notebook.pull-left {
  float: right !important;
  float: right;
}
.flex-spacer {
  flex: 1;
}
#noscript {
  width: auto;
  padding-top: 16px;
  padding-bottom: 16px;
  text-align: center;
  font-size: 22px;
  color: red;
  font-weight: bold;
}
#ipython_notebook img {
  height: 28px;
}
#site {
  width: 100%;
  display: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  overflow: auto;
}
@media print {
  #site {
    height: auto !important;
  }
}
/* Smaller buttons */
.ui-button .ui-button-text {
  padding: 0.2em 0.8em;
  font-size: 77%;
}
input.ui-button {
  padding: 0.3em 0.9em;
}
span#kernel_logo_widget {
  margin: 0 10px;
}
span#login_widget {
  float: right;
}
[dir="rtl"] span#login_widget {
  float: left;
}
span#login_widget > .button,
#logout,
#shutdown {
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
  margin-left: 10px;
}
span#login_widget > .button:focus,
#logout:focus,
#shutdown:focus,
span#login_widget > .button.focus,
#logout.focus,
#shutdown.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover,
#shutdown:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
#shutdown:active,
span#login_widget > .button.active,
#logout.active,
#shutdown.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout,
.open > .dropdown-toggle#shutdown {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
#shutdown:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
#shutdown.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
.open > .dropdown-toggle#shutdown:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
#shutdown:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
#shutdown.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
.open > .dropdown-toggle#shutdown:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
#shutdown:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
#shutdown.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus,
.open > .dropdown-toggle#shutdown.focus {
  color: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
#shutdown.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
#shutdown[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
fieldset[disabled] #shutdown:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
#shutdown.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
#shutdown[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
fieldset[disabled] #shutdown:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
#shutdown.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
#shutdown[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus,
fieldset[disabled] #shutdown.focus {
  background-color: #ffffff;
  border-color: #cccccc;
}
span#login_widget > .button .badge,
#logout .badge,
#shutdown .badge {
  color: #ffffff;
  background-color: #333333;
}
.nav-header {
  text-transform: none;
}
#header > span {
  margin-top: 10px;
}
.modal_stretch .modal-dialog {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
  max-height: calc(100vh - 200px);
  overflow: auto;
  flex: 1;
}
.modal-header {
  cursor: move;
}
@media (min-width: 768px) {
  .modal .modal-dialog {
    width: 700px;
  }
}
@media (min-width: 768px) {
  select.form-control {
    margin-left: 12px;
    margin-right: 12px;
  }
}
/* rtl fixes for the error, connecting, and renaming window */
[dir="rtl"] .modal-footer {
  text-align: left !important;
}
[dir="rtl"] .close {
  float: left;
}
[dir="rtl"] .fa-step-forward::before {
  content: "\f048";
}
/*!
*
* IPython auth
*
*/
.center-nav {
  display: inline-block;
  margin-bottom: -4px;
}
[dir="rtl"] .center-nav form.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] .center-nav .navbar-text {
  float: right;
}
[dir="rtl"] .navbar-inner {
  text-align: right;
}
[dir="rtl"] div.text-left {
  text-align: right;
}
/*!
*
* IPython tree view
*
*/
/* We need an invisible input field on top of the sentense*/
/* "Drag file onto the list ..." */
.alternate_upload {
  background-color: none;
  display: inline;
}
.alternate_upload.form {
  padding: 0;
  margin: 0;
}
.alternate_upload input.fileinput {
  position: absolute;
  display: block;
  width: 100%;
  height: 100%;
  overflow: hidden;
  cursor: pointer;
  opacity: 0;
  z-index: 2;
}
.alternate_upload .btn-xs > input.fileinput {
  margin: -1px -5px;
}
.alternate_upload .btn-upload {
  position: relative;
  height: 22px;
}
::-webkit-file-upload-button {
  cursor: pointer;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
ul#tabs {
  margin-bottom: 4px;
}
ul#tabs a {
  padding-top: 6px;
  padding-bottom: 4px;
}
[dir="rtl"] ul#tabs.nav-tabs > li {
  float: right;
}
[dir="rtl"] ul#tabs.nav.nav-tabs {
  padding-right: 0;
}
ul.breadcrumb a:focus,
ul.breadcrumb a:hover {
  text-decoration: none;
}
ul.breadcrumb i.icon-home {
  font-size: 16px;
  margin-right: 4px;
}
ul.breadcrumb span {
  color: #5e5e5e;
}
.list_toolbar {
  padding: 4px 0 4px 0;
  vertical-align: middle;
}
.list_toolbar .tree-buttons {
  padding-top: 1px;
}
[dir="rtl"] .list_toolbar .tree-buttons .pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .list_toolbar .col-sm-4,
[dir="rtl"] .list_toolbar .col-sm-8 {
  float: right;
}
.dynamic-buttons {
  padding-top: 3px;
  display: inline-block;
}
.list_toolbar [class*="span"] {
  min-height: 24px;
}
.list_header {
  font-weight: bold;
  background-color: #eeeeee;
}
.list_placeholder {
  font-weight: bold;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
}
.list_container {
  margin-top: 4px;
  margin-bottom: 20px;
  border: 1px solid #dddddd;
  border-radius: 2px;
}
.list_container > div {
  border-bottom: 1px solid #dddddd;
}
.list_container > div:hover .list-item {
  background-color: red;
}
.list_container > div:last-child {
  border: none;
}
.list_item:hover .list_item {
  background-color: #dddddd;
}
.list_item a {
  text-decoration: none;
}
.list_item:hover {
  background-color: #fafafa;
}
.list_header > div,
.list_item > div {
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
.list_header > div input,
.list_item > div input {
  margin-right: 7px;
  margin-left: 14px;
  vertical-align: text-bottom;
  line-height: 22px;
  position: relative;
  top: -1px;
}
.list_header > div .item_link,
.list_item > div .item_link {
  margin-left: -1px;
  vertical-align: baseline;
  line-height: 22px;
}
[dir="rtl"] .list_item > div input {
  margin-right: 0;
}
.new-file input[type=checkbox] {
  visibility: hidden;
}
.item_name {
  line-height: 22px;
  height: 24px;
}
.item_icon {
  font-size: 14px;
  color: #5e5e5e;
  margin-right: 7px;
  margin-left: 7px;
  line-height: 22px;
  vertical-align: baseline;
}
.item_modified {
  margin-right: 7px;
  margin-left: 7px;
}
.file_size {
  width: 65px;
  text-align: right;
}
[dir="rtl"] .item_modified.pull-right {
  float: left !important;
  float: left;
}
.item_buttons {
  line-height: 1em;
  margin-left: -5px;
}
.item_buttons .btn,
.item_buttons .btn-group,
.item_buttons .input-group {
  float: left;
}
.item_buttons > .btn,
.item_buttons > .btn-group,
.item_buttons > .input-group {
  margin-left: 5px;
}
.item_buttons .btn {
  min-width: 13ex;
}
.item_buttons .running-indicator {
  padding-top: 4px;
  color: #357935;
}
.item_buttons .kernel-name {
  padding-top: 4px;
  color: #5bc0de;
  margin-right: 7px;
  float: left;
}
[dir="rtl"] .item_buttons.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .item_buttons .kernel-name {
  margin-left: 7px;
  float: right;
}
.toolbar_info {
  height: 24px;
  line-height: 24px;
}
.list_item input:not([type=checkbox]) {
  padding-top: 3px;
  padding-bottom: 3px;
  height: 22px;
  line-height: 14px;
  margin: 0px;
}
.highlight_text {
  color: blue;
}
#project_name {
  display: inline-block;
  padding-left: 7px;
  margin-left: -2px;
}
#project_name > .breadcrumb {
  padding: 0px;
  margin-bottom: 0px;
  background-color: transparent;
  font-weight: bold;
}
.sort_button {
  display: inline-block;
  padding-left: 7px;
}
[dir="rtl"] .sort_button.pull-right {
  float: left !important;
  float: left;
}
#tree-selector {
  padding-right: 0px;
}
#button-select-all {
  min-width: 50px;
}
[dir="rtl"] #button-select-all.btn {
  float: right ;
}
#select-all {
  margin-left: 7px;
  margin-right: 2px;
  margin-top: 2px;
  height: 16px;
}
[dir="rtl"] #select-all.pull-left {
  float: right !important;
  float: right;
}
.menu_icon {
  margin-right: 2px;
}
.tab-content .row {
  margin-left: 0px;
  margin-right: 0px;
}
.folder_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f114";
}
.folder_icon:before.fa-pull-left {
  margin-right: .3em;
}
.folder_icon:before.fa-pull-right {
  margin-left: .3em;
}
.folder_icon:before.pull-left {
  margin-right: .3em;
}
.folder_icon:before.pull-right {
  margin-left: .3em;
}
.notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
}
.notebook_icon:before.fa-pull-left {
  margin-right: .3em;
}
.notebook_icon:before.fa-pull-right {
  margin-left: .3em;
}
.notebook_icon:before.pull-left {
  margin-right: .3em;
}
.notebook_icon:before.pull-right {
  margin-left: .3em;
}
.running_notebook_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f02d";
  position: relative;
  top: -1px;
  color: #5cb85c;
}
.running_notebook_icon:before.fa-pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.fa-pull-right {
  margin-left: .3em;
}
.running_notebook_icon:before.pull-left {
  margin-right: .3em;
}
.running_notebook_icon:before.pull-right {
  margin-left: .3em;
}
.file_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f016";
  position: relative;
  top: -2px;
}
.file_icon:before.fa-pull-left {
  margin-right: .3em;
}
.file_icon:before.fa-pull-right {
  margin-left: .3em;
}
.file_icon:before.pull-left {
  margin-right: .3em;
}
.file_icon:before.pull-right {
  margin-left: .3em;
}
#notebook_toolbar .pull-right {
  padding-top: 0px;
  margin-right: -1px;
}
ul#new-menu {
  left: auto;
  right: 0;
}
#new-menu .dropdown-header {
  font-size: 10px;
  border-bottom: 1px solid #e5e5e5;
  padding: 0 0 3px;
  margin: -3px 20px 0;
}
.kernel-menu-icon {
  padding-right: 12px;
  width: 24px;
  content: "\f096";
}
.kernel-menu-icon:before {
  content: "\f096";
}
.kernel-menu-icon-current:before {
  content: "\f00c";
}
#tab_content {
  padding-top: 20px;
}
#running .panel-group .panel {
  margin-top: 3px;
  margin-bottom: 1em;
}
#running .panel-group .panel .panel-heading {
  background-color: #eeeeee;
  padding-top: 4px;
  padding-bottom: 4px;
  padding-left: 7px;
  padding-right: 7px;
  line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
  text-decoration: none;
}
#running .panel-group .panel .panel-body {
  padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
  margin-top: 0px;
  margin-bottom: 0px;
  border: 0px;
  border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
  border-bottom: 1px solid #dddddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
  border-bottom: 0px;
}
.delete-button {
  display: none;
}
.duplicate-button {
  display: none;
}
.rename-button {
  display: none;
}
.move-button {
  display: none;
}
.download-button {
  display: none;
}
.shutdown-button {
  display: none;
}
.dynamic-instructions {
  display: inline-block;
  padding-top: 4px;
}
/*!
*
* IPython text editor webapp
*
*/
.selected-keymap i.fa {
  padding: 0px 5px;
}
.selected-keymap i.fa:before {
  content: "\f00c";
}
#mode-menu {
  overflow: auto;
  max-height: 20em;
}
.edit_app #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.edit_app #menubar .navbar {
  /* Use a negative 1 bottom margin, so the border overlaps the border of the
    header */
  margin-bottom: -1px;
}
.dirty-indicator {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator.fa-pull-right {
  margin-left: .3em;
}
.dirty-indicator.pull-left {
  margin-right: .3em;
}
.dirty-indicator.pull-right {
  margin-left: .3em;
}
.dirty-indicator-dirty {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-dirty.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.fa-pull-right {
  margin-left: .3em;
}
.dirty-indicator-dirty.pull-left {
  margin-right: .3em;
}
.dirty-indicator-dirty.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  width: 20px;
}
.dirty-indicator-clean.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.fa-pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean.pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f00c";
}
.dirty-indicator-clean:before.fa-pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.fa-pull-right {
  margin-left: .3em;
}
.dirty-indicator-clean:before.pull-left {
  margin-right: .3em;
}
.dirty-indicator-clean:before.pull-right {
  margin-left: .3em;
}
#filename {
  font-size: 16pt;
  display: table;
  padding: 0px 5px;
}
#current-mode {
  padding-left: 5px;
  padding-right: 5px;
}
#texteditor-backdrop {
  padding-top: 20px;
  padding-bottom: 20px;
}
@media not print {
  #texteditor-backdrop {
    background-color: #eeeeee;
  }
}
@media print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #ffffff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container .CodeMirror-gutter,
  #texteditor-backdrop #texteditor-container .CodeMirror-gutters {
    background-color: #ffffff;
  }
}
@media not print {
  #texteditor-backdrop #texteditor-container {
    padding: 0px;
    background-color: #ffffff;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
.CodeMirror-dialog {
  background-color: #ffffff;
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI escape sequences */
/* The color values are a mix of
   http://www.xcolors.net/dl/baskerville-ivorylight and
   http://www.xcolors.net/dl/euphrasia */
.ansi-#000000-fg {
  color: #3e424d;
}
.ansi-#000000-bg {
  background-color: #3e424d;
}
.ansi-#000000-intense-fg {
  color: #282c36;
}
.ansi-#000000-intense-bg {
  background-color: #282c36;
}
.ansi-#ff0000-fg {
  color: #e75c58;
}
.ansi-#ff0000-bg {
  background-color: #e75c58;
}
.ansi-#ff0000-intense-fg {
  color: #b22b31;
}
.ansi-#ff0000-intense-bg {
  background-color: #b22b31;
}
.ansi-#008000-fg {
  color: #00a250;
}
.ansi-#008000-bg {
  background-color: #00a250;
}
.ansi-#008000-intense-fg {
  color: #007427;
}
.ansi-#008000-intense-bg {
  background-color: #007427;
}
.ansi-#ffff00-fg {
  color: #ddb62b;
}
.ansi-#ffff00-bg {
  background-color: #ddb62b;
}
.ansi-#ffff00-intense-fg {
  color: #b27d12;
}
.ansi-#ffff00-intense-bg {
  background-color: #b27d12;
}
.ansi-#0000ff-fg {
  color: #208ffb;
}
.ansi-#0000ff-bg {
  background-color: #208ffb;
}
.ansi-#0000ff-intense-fg {
  color: #0065ca;
}
.ansi-#0000ff-intense-bg {
  background-color: #0065ca;
}
.ansi-#ff00ff-fg {
  color: #d160c4;
}
.ansi-#ff00ff-bg {
  background-color: #d160c4;
}
.ansi-#ff00ff-intense-fg {
  color: #a03196;
}
.ansi-#ff00ff-intense-bg {
  background-color: #a03196;
}
.ansi-#00ffff-fg {
  color: #60c6c8;
}
.ansi-#00ffff-bg {
  background-color: #60c6c8;
}
.ansi-#00ffff-intense-fg {
  color: #258f8f;
}
.ansi-#00ffff-intense-bg {
  background-color: #258f8f;
}
.ansi-#ffffff-fg {
  color: #c5c1b4;
}
.ansi-#ffffff-bg {
  background-color: #c5c1b4;
}
.ansi-#ffffff-intense-fg {
  color: #a1a6b2;
}
.ansi-#ffffff-intense-bg {
  background-color: #a1a6b2;
}
.ansi-default-inverse-fg {
  color: #FFFFFF;
}
.ansi-default-inverse-bg {
  background-color: #000000;
}
.ansi-bold {
  font-weight: bold;
}
.ansi-underline {
  text-decoration: underline;
}
div.cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  border-radius: 2px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  border-width: 1px;
  border-style: solid;
  border-color: transparent;
  width: 100%;
  padding: 5px;
  /* This acts as a spacer between cells, that is outside the border */
  margin: 0px;
  outline: none;
  position: relative;
  overflow: visible;
}
div.cell:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: transparent;
}
div.cell.jupyter-soft-selected {
  border-left-color: #e3f2fd;
  border-left-width: 1px;
  padding-left: 5px;
  border-right-color: #e3f2fd;
  border-right-width: 1px;
  background: #e3f2fd;
}
@media print {
  div.cell.jupyter-soft-selected {
    border-color: transparent;
  }
}
div.cell.selected,
div.cell.selected.jupyter-soft-selected {
  border-color: #ababab;
}
div.cell.selected:before,
div.cell.selected.jupyter-soft-selected:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: #42a5f5;
}
@media print {
  div.cell.selected,
  div.cell.selected.jupyter-soft-selected {
    border-color: transparent;
  }
}
.edit_mode div.cell.selected {
  border-color: #66bb6a;
}
.edit_mode div.cell.selected:before {
  position: absolute;
  display: block;
  top: -1px;
  left: -1px;
  width: 5px;
  height: calc(100% +  2px);
  content: '';
  background: #66bb6a;
}
@media print {
  .edit_mode div.cell.selected {
    border-color: transparent;
  }
}
.prompt {
  /* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
  min-width: 14ex;
  /* This padding is tuned to match the padding on the CodeMirror editor. */
  padding: 0.4em;
  margin: 0px;
  font-family: monospace;
  text-align: right;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
  /* Don't highlight prompt number selection */
  -webkit-touch-callout: none;
  -webkit-user-select: none;
  -khtml-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
  /* Use default cursor */
  cursor: default;
}
@media (max-width: 540px) {
  .prompt {
    text-align: left;
  }
}
div.inner_cell {
  min-width: 0;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
  border: 1px solid #cfcfcf;
  border-radius: 2px;
  background: #f7f7f7;
  line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
   is no content in the output_subarea and the prompt. The main purpose of this is
   to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
  padding-top: 0;
  padding-bottom: 0;
}
div.unrecognized_cell {
  padding: 5px 5px 5px 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
div.unrecognized_cell .inner_cell {
  border-radius: 2px;
  padding: 5px;
  font-weight: bold;
  color: red;
  border: 1px solid #cfcfcf;
  background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
  color: inherit;
  text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
  color: inherit;
  text-decoration: none;
}
@media (max-width: 540px) {
  div.unrecognized_cell > div.prompt {
    display: none;
  }
}
div.code_cell {
  /* avoid page breaking on code cells when printing */
}
@media print {
  div.code_cell {
    page-break-inside: avoid;
  }
}
/* any special styling for code cells that are currently running goes here */
div.input {
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@media (max-width: 540px) {
  div.input {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
    /* Old browsers */
    -webkit-box-flex: 0;
    -moz-box-flex: 0;
    box-flex: 0;
    /* Modern browsers */
    flex: none;
  }
}
div.prompt_container {
  display: flex;
  flex-direction: row;
  justify-content: space-between;
  align-items: flex-start;
  text-align: right;
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
  color: #303f9f;
  border-top: 1px solid transparent;
}
div.run_this_cell {
  display: none;
  cursor: pointer;
  color: #333;
  padding-top: 5px;
  padding-bottom: 5px;
  padding-left: 2ex;
  padding-right: 2ex;
  width: 1ex;
}
div.prompt {
  min-width: 15ex;
}
@media (-moz-touch-enabled: 1), (any-pointer: coarse) {
  div.run_this_cell {
    display: block;
  }
}
div.input_area > div.highlight {
  margin: 0.4em;
  border: none;
  padding: 0px;
  background-color: transparent;
}
div.input_area > div.highlight > pre {
  margin: 0px;
  border: none;
  padding: 0px;
  background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
 * monospace font with inconsistent normal/bold/italic height.  See
 * notebookmain.js.  Such fonts will have keywords vertically offset with
 * respect to the rest of the text.  The user should select a better font.
 * See: https://github.com/ipython/ipython/issues/1503
 *
 * .CodeMirror span {
 *      vertical-align: bottom;
 * }
 */
.CodeMirror {
  line-height: 1.21429em;
  /* Changed from 1em to our global default */
  font-size: 14px;
  height: auto;
  /* Changed to auto to autogrow */
  background: none;
  /* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
  /*  The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
  /*  We have found that if it is visible, vertical scrollbars appear with font size changes.*/
  overflow-y: hidden;
  overflow-x: auto;
}
.CodeMirror-lines {
  /* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
  /* we have set a different line-height and want this to scale with that. */
  /* Note that this should set vertical padding only, since CodeMirror assumes
       that horizontal padding will be set on CodeMirror pre */
  padding: 0.4em 0;
}
.CodeMirror-linenumber {
  padding: 0 8px 0 4px;
}
.CodeMirror-gutters {
  border-bottom-left-radius: 2px;
  border-top-left-radius: 2px;
}
.CodeMirror pre {
  /* In CM3 this went to 4px from 0 in CM2. This sets horizontal padding only,
    use .CodeMirror-lines for vertical */
  padding: 0 0.4em;
  border: 0;
  border-radius: 0;
}
.CodeMirror-cursor {
  border-left: 1.4px solid black;
}
@media screen and (min-width: 2138px) and (max-width: 4319px) {
  .CodeMirror-cursor {
    border-left: 2px solid black;
  }
}
@media screen and (min-width: 4320px) {
  .CodeMirror-cursor {
    border-left: 4px solid black;
  }
}
/*

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

*/
.highlight-base {
  color: #000000;
}
.highlight-variable {
  color: #000000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #007979;
  font-style: italic;
}
.highlight-number {
  color: #080;
}
.highlight-atom {
  color: #88F;
}
.highlight-keyword {
  color: #008000;
  font-weight: bold;
}
.highlight-builtin {
  color: #008000;
}
.highlight-error {
  color: #f00;
}
.highlight-operator {
  color: #AA22FF;
  font-weight: bold;
}
.highlight-meta {
  color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
  color: #00f;
}
.highlight-string-2 {
  color: #f50;
}
.highlight-qualifier {
  color: #555;
}
.highlight-bracket {
  color: #997;
}
.highlight-tag {
  color: #170;
}
.highlight-attribute {
  color: #00c;
}
.highlight-header {
  color: blue;
}
.highlight-quote {
  color: #090;
}
.highlight-link {
  color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
  color: #008000;
  font-weight: bold;
}
.cm-s-ipython span.cm-atom {
  color: #88F;
}
.cm-s-ipython span.cm-number {
  color: #080;
}
.cm-s-ipython span.cm-def {
  color: #00f;
}
.cm-s-ipython span.cm-variable {
  color: #000000;
}
.cm-s-ipython span.cm-operator {
  color: #AA22FF;
  font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
  color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
  color: #333333;
}
.cm-s-ipython span.cm-comment {
  color: #007979;
  font-style: italic;
}
.cm-s-ipython span.cm-string {
  color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
  color: #f50;
}
.cm-s-ipython span.cm-meta {
  color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
  color: #555;
}
.cm-s-ipython span.cm-builtin {
  color: #008000;
}
.cm-s-ipython span.cm-bracket {
  color: #997;
}
.cm-s-ipython span.cm-tag {
  color: #170;
}
.cm-s-ipython span.cm-attribute {
  color: #00c;
}
.cm-s-ipython span.cm-header {
  color: blue;
}
.cm-s-ipython span.cm-quote {
  color: #090;
}
.cm-s-ipython span.cm-link {
  color: #00c;
}
.cm-s-ipython span.cm-error {
  color: #f00;
}
.cm-s-ipython span.cm-tab {
  background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
  background-position: right;
  background-repeat: no-repeat;
}
div.output_wrapper {
  /* this position must be relative to enable descendents to be absolute within it */
  position: relative;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
  /* ideally, this would be max-height, but FF barfs all over that */
  height: 24em;
  /* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
  width: 100%;
  overflow: auto;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
  margin: 0px;
  padding: 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
div.out_prompt_overlay {
  height: 100%;
  padding: 0px 0.4em;
  position: absolute;
  border-radius: 2px;
}
div.out_prompt_overlay:hover {
  /* use inner shadow to get border that is computed the same on WebKit/FF */
  -webkit-box-shadow: inset 0 0 1px #000000;
  box-shadow: inset 0 0 1px #000000;
  background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
  color: #d84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
  padding: 0px;
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
div.output_area .MathJax_Display {
  text-align: left !important;
}
div.output_area .rendered_html table {
  margin-left: 0;
  margin-right: 0;
}
div.output_area .rendered_html img {
  margin-left: 0;
  margin-right: 0;
}
div.output_area img,
div.output_area svg {
  max-width: 100%;
  height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
  max-width: none;
}
div.output_area .mglyph > img {
  max-width: none;
}
/* This is needed to protect the pre formating from global settings such
   as that of bootstrap */
.output {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@media (max-width: 540px) {
  div.output_area {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
    /* Old browsers */
    -webkit-box-flex: 0;
    -moz-box-flex: 0;
    box-flex: 0;
    /* Modern browsers */
    flex: none;
  }
}
div.output_area pre {
  margin: 0;
  padding: 1px 0 1px 0;
  border: 0;
  vertical-align: baseline;
  color: #000000;
  background-color: transparent;
  border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
   the prompt div. */
div.output_subarea {
  overflow-x: auto;
  padding: 0.4em;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
  max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
  overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
   output types */
/* all text output has this class: */
div.output_text {
  text-align: left;
  color: #000000;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
  background: #fdd;
  /* very light red background for stderr */
}
div.output_latex {
  text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
  padding: 0;
}
.js-error {
  color: darkred;
}
/* raw_input styles */
div.raw_input_container {
  line-height: 1.21429em;
  padding-top: 5px;
}
pre.raw_input_prompt {
  /* nothing needed here. */
}
input.raw_input {
  font-family: monospace;
  font-size: inherit;
  color: inherit;
  width: auto;
  /* make sure input baseline aligns with prompt */
  vertical-align: baseline;
  /* padding + margin = 0.5em between prompt and cursor */
  padding: 0em 0.25em;
  margin: 0em 0.25em;
}
input.raw_input:focus {
  box-shadow: none;
}
p.p-space {
  margin-bottom: 10px;
}
div.output_unrecognized {
  padding: 5px;
  font-weight: bold;
  color: red;
}
div.output_unrecognized a {
  color: inherit;
  text-decoration: none;
}
div.output_unrecognized a:hover {
  color: inherit;
  text-decoration: none;
}
.rendered_html {
  color: #000000;
  /* any extras will just be numbers: */
}
.rendered_html em {
  font-style: italic;
}
.rendered_html strong {
  font-weight: bold;
}
.rendered_html u {
  text-decoration: underline;
}
.rendered_html :link {
  text-decoration: underline;
}
.rendered_html :visited {
  text-decoration: underline;
}
.rendered_html h1 {
  font-size: 185.7%;
  margin: 1.08em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h2 {
  font-size: 157.1%;
  margin: 1.27em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h3 {
  font-size: 128.6%;
  margin: 1.55em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h4 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h5 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h6 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h1:first-child {
  margin-top: 0.538em;
}
.rendered_html h2:first-child {
  margin-top: 0.636em;
}
.rendered_html h3:first-child {
  margin-top: 0.777em;
}
.rendered_html h4:first-child {
  margin-top: 1em;
}
.rendered_html h5:first-child {
  margin-top: 1em;
}
.rendered_html h6:first-child {
  margin-top: 1em;
}
.rendered_html ul:not(.list-inline),
.rendered_html ol:not(.list-inline) {
  padding-left: 2em;
}
.rendered_html ul {
  list-style: disc;
}
.rendered_html ul ul {
  list-style: square;
  margin-top: 0;
}
.rendered_html ul ul ul {
  list-style: circle;
}
.rendered_html ol {
  list-style: decimal;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin-top: 0;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
}
.rendered_html * + ul {
  margin-top: 1em;
}
.rendered_html * + ol {
  margin-top: 1em;
}
.rendered_html hr {
  color: #000000;
  background-color: #000000;
}
.rendered_html pre {
  margin: 1em 2em;
  padding: 0px;
  background-color: #ffffff;
}
.rendered_html code {
  background-color: #eff0f1;
}
.rendered_html p code {
  padding: 1px 5px;
}
.rendered_html pre code {
  background-color: #ffffff;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  color: #000000;
  font-size: 100%;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: none;
  border-collapse: collapse;
  border-spacing: 0;
  color: #000000;
  font-size: 12px;
  table-layout: fixed;
}
.rendered_html thead {
  border-bottom: 1px solid #000000;
  vertical-align: bottom;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  text-align: right;
  vertical-align: middle;
  padding: 0.5em 0.5em;
  line-height: normal;
  white-space: normal;
  max-width: none;
  border: none;
}
.rendered_html th {
  font-weight: bold;
}
.rendered_html tbody tr:nth-child(odd) {
  background: #f5f5f5;
}
.rendered_html tbody tr:hover {
  background: rgba(66, 165, 245, 0.2);
}
.rendered_html * + table {
  margin-top: 1em;
}
.rendered_html p {
  text-align: left;
}
.rendered_html * + p {
  margin-top: 1em;
}
.rendered_html img {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.rendered_html * + img {
  margin-top: 1em;
}
.rendered_html img,
.rendered_html svg {
  max-width: 100%;
  height: auto;
}
.rendered_html img.unconfined,
.rendered_html svg.unconfined {
  max-width: none;
}
.rendered_html .alert {
  margin-bottom: initial;
}
.rendered_html * + .alert {
  margin-top: 1em;
}
[dir="rtl"] .rendered_html p {
  text-align: right;
}
div.text_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@media (max-width: 540px) {
  div.text_cell > div.prompt {
    display: none;
  }
}
div.text_cell_render {
  /*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
  outline: none;
  resize: none;
  width: inherit;
  border-style: none;
  padding: 0.5em 0.5em 0.5em 0.4em;
  color: #000000;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
a.anchor-link:link {
  text-decoration: none;
  padding: 0px 20px;
  visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
  visibility: visible;
}
.text_cell.rendered .input_area {
  display: none;
}
.text_cell.rendered .rendered_html {
  overflow-x: auto;
  overflow-y: hidden;
}
.text_cell.rendered .rendered_html tr,
.text_cell.rendered .rendered_html th,
.text_cell.rendered .rendered_html td {
  max-width: none;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.text_cell .dropzone .input_area {
  border: 2px dashed #bababa;
  margin: -1px;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
  font-weight: bold;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
  font-size: 185.7%;
}
.cm-header-2 {
  font-size: 157.1%;
}
.cm-header-3 {
  font-size: 128.6%;
}
.cm-header-4 {
  font-size: 110%;
}
.cm-header-5 {
  font-size: 100%;
  font-style: italic;
}
.cm-header-6 {
  font-size: 100%;
  font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
  .notebook_app {
    padding-left: 0px;
    padding-right: 0px;
  }
}
#ipython-main-app {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook_panel {
  margin: 0px;
  padding: 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook {
  font-size: 14px;
  line-height: 20px;
  overflow-y: hidden;
  overflow-x: auto;
  width: 100%;
  /* This spaces the page away from the edge of the notebook area */
  padding-top: 20px;
  padding-bottom: 20px;
  margin: 0px;
  outline: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  min-height: 100%;
}
@media not print {
  #notebook-container {
    padding: 15px;
    background-color: #ffffff;
    min-height: 0;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
@media print {
  #notebook-container {
    width: 100%;
  }
}
div.ui-widget-content {
  border: 1px solid #ababab;
  outline: none;
}
pre.dialog {
  background-color: #f7f7f7;
  border: 1px solid #ddd;
  border-radius: 2px;
  padding: 0.4em;
  padding-left: 2em;
}
p.dialog {
  padding: 0.2em;
}
/* Word-wrap output correctly.  This is the CSS3 spelling, though Firefox seems
   to not honor it correctly.  Webkit browsers (Chrome, rekonq, Safari) do.
 */
pre,
code,
kbd,
samp {
  white-space: pre-wrap;
}
#fonttest {
  font-family: monospace;
}
p {
  margin-bottom: 0;
}
.end_space {
  min-height: 100px;
  transition: height .2s ease;
}
.notebook_app > #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
  .notebook_app {
    background-color: #eeeeee;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
.jupyter-keybindings {
  padding: 1px;
  line-height: 24px;
  border-bottom: 1px solid gray;
}
.jupyter-keybindings input {
  margin: 0;
  padding: 0;
  border: none;
}
.jupyter-keybindings i {
  padding: 6px;
}
.well code {
  background-color: #ffffff;
  border-color: #ababab;
  border-width: 1px;
  border-style: solid;
  padding: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
  border: thin solid #CFCFCF;
  border-bottom: none;
  background: #EEE;
  border-radius: 2px 2px 0px 0px;
  width: 100%;
  height: 29px;
  padding-right: 4px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
  display: -webkit-flex;
}
@media print {
  .celltoolbar {
    display: none;
  }
}
.ctb_hideshow {
  display: none;
  vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
   Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
  display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border-top-right-radius: 0px;
  border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border: 1px solid #cfcfcf;
}
.celltoolbar {
  font-size: 87%;
  padding-top: 3px;
}
.celltoolbar select {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  width: inherit;
  font-size: inherit;
  height: 22px;
  padding: 0px;
  display: inline-block;
}
.celltoolbar select:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
  color: #999999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999999;
}
.celltoolbar select::-ms-expand {
  background-color: transparent;
  border: 0;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
  background-color: #eeeeee;
  opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
  cursor: not-allowed;
}
textarea.celltoolbar select {
  height: auto;
}
select.celltoolbar select {
  height: 30px;
  line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
  height: auto;
}
.celltoolbar label {
  margin-left: 5px;
  margin-right: 5px;
}
.tags_button_container {
  width: 100%;
  display: flex;
}
.tag-container {
  display: flex;
  flex-direction: row;
  flex-grow: 1;
  overflow: hidden;
  position: relative;
}
.tag-container > * {
  margin: 0 4px;
}
.remove-tag-btn {
  margin-left: 4px;
}
.tags-input {
  display: flex;
}
.cell-tag:last-child:after {
  content: "";
  position: absolute;
  right: 0;
  width: 40px;
  height: 100%;
  /* Fade to background color of cell toolbar */
  background: linear-gradient(to right, rgba(0, 0, 0, 0), #eeeeee);
}
.tags-input > * {
  margin-left: 4px;
}
.cell-tag,
.tags-input input,
.tags-input button {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  box-shadow: none;
  width: inherit;
  font-size: inherit;
  height: 22px;
  line-height: 22px;
  padding: 0px 4px;
  display: inline-block;
}
.cell-tag:focus,
.tags-input input:focus,
.tags-input button:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.cell-tag::-moz-placeholder,
.tags-input input::-moz-placeholder,
.tags-input button::-moz-placeholder {
  color: #999999;
  opacity: 1;
}
.cell-tag:-ms-input-placeholder,
.tags-input input:-ms-input-placeholder,
.tags-input button:-ms-input-placeholder {
  color: #999999;
}
.cell-tag::-webkit-input-placeholder,
.tags-input input::-webkit-input-placeholder,
.tags-input button::-webkit-input-placeholder {
  color: #999999;
}
.cell-tag::-ms-expand,
.tags-input input::-ms-expand,
.tags-input button::-ms-expand {
  background-color: transparent;
  border: 0;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
.cell-tag[readonly],
.tags-input input[readonly],
.tags-input button[readonly],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  background-color: #eeeeee;
  opacity: 1;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  cursor: not-allowed;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button {
  height: auto;
}
select.cell-tag,
select.tags-input input,
select.tags-input button {
  height: 30px;
  line-height: 30px;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button,
select[multiple].cell-tag,
select[multiple].tags-input input,
select[multiple].tags-input button {
  height: auto;
}
.cell-tag,
.tags-input button {
  padding: 0px 4px;
}
.cell-tag {
  background-color: #fff;
  white-space: nowrap;
}
.tags-input input[type=text]:focus {
  outline: none;
  box-shadow: none;
  border-color: #ccc;
}
.completions {
  position: absolute;
  z-index: 110;
  overflow: hidden;
  border: 1px solid #ababab;
  border-radius: 2px;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  line-height: 1;
}
.completions select {
  background: white;
  outline: none;
  border: none;
  padding: 0px;
  margin: 0px;
  overflow: auto;
  font-family: monospace;
  font-size: 110%;
  color: #000000;
  width: auto;
}
.completions select option.context {
  color: #286090;
}
#kernel_logo_widget .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
[dir="rtl"] #kernel_logo_widget {
  float: left !important;
  float: left;
}
.modal .modal-body .move-path {
  display: flex;
  flex-direction: row;
  justify-content: space;
  align-items: center;
}
.modal .modal-body .move-path .server-root {
  padding-right: 20px;
}
.modal .modal-body .move-path .path-input {
  flex: 1;
}
#menubar {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  margin-top: 1px;
}
#menubar .navbar {
  border-top: 1px;
  border-radius: 0px 0px 2px 2px;
  margin-bottom: 0px;
}
#menubar .navbar-toggle {
  float: left;
  padding-top: 7px;
  padding-bottom: 7px;
  border: none;
}
#menubar .navbar-collapse {
  clear: left;
}
[dir="rtl"] #menubar .navbar-toggle {
  float: right;
}
[dir="rtl"] #menubar .navbar-collapse {
  clear: right;
}
[dir="rtl"] #menubar .navbar-nav {
  float: right;
}
[dir="rtl"] #menubar .nav {
  padding-right: 0px;
}
[dir="rtl"] #menubar .navbar-nav > li {
  float: right;
}
[dir="rtl"] #menubar .navbar-right {
  float: left !important;
}
[dir="rtl"] ul.dropdown-menu {
  text-align: right;
  left: auto;
}
[dir="rtl"] ul#new-menu.dropdown-menu {
  right: auto;
  left: 0;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
[dir="rtl"] i.menu-icon.pull-right {
  float: left !important;
  float: left;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
[dir="rtl"] ul#help_menu li a {
  padding-left: 2.2em;
}
[dir="rtl"] ul#help_menu li a i {
  margin-right: 0;
  margin-left: -1.2em;
}
[dir="rtl"] ul#help_menu li a i.pull-right {
  float: left !important;
  float: left;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -1px;
}
[dir="rtl"] .dropdown-submenu > .dropdown-menu {
  right: 100%;
  margin-right: -1px;
}
.dropdown-submenu:hover > .dropdown-menu {
  display: block;
}
.dropdown-submenu > a:after {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  display: block;
  content: "\f0da";
  float: right;
  color: #333333;
  margin-top: 2px;
  margin-right: -10px;
}
.dropdown-submenu > a:after.fa-pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.fa-pull-right {
  margin-left: .3em;
}
.dropdown-submenu > a:after.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
[dir="rtl"] .dropdown-submenu > a:after {
  float: left;
  content: "\f0d9";
  margin-right: 0;
  margin-left: -10px;
}
.dropdown-submenu:hover > a:after {
  color: #262626;
}
.dropdown-submenu.pull-left {
  float: none;
}
.dropdown-submenu.pull-left > .dropdown-menu {
  left: -100%;
  margin-left: 10px;
}
#notification_area {
  float: right !important;
  float: right;
  z-index: 10;
}
[dir="rtl"] #notification_area {
  float: left !important;
  float: left;
}
.indicator_area {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
[dir="rtl"] .indicator_area {
  float: left !important;
  float: left;
}
#kernel_indicator {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
  padding-left: 5px;
  padding-right: 5px;
}
[dir="rtl"] #kernel_indicator {
  float: left !important;
  float: left;
  border-left: 0;
  border-right: 1px solid;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
[dir="rtl"] #modal_indicator {
  float: left !important;
  float: left;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  margin-top: 2px;
  margin-bottom: 0px;
  margin-left: 0px;
  margin-right: 0px;
  display: none;
}
.modal_indicator:before {
  width: 1.28571429em;
  text-align: center;
}
.edit_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f040";
}
.edit_mode .modal_indicator:before.fa-pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.edit_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: ' ';
}
.command_mode .modal_indicator:before.fa-pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f10c";
}
.kernel_idle_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f111";
}
.kernel_busy_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f1e2";
}
.kernel_dead_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f127";
}
.kernel_disconnected_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
  margin-left: .3em;
}
.notification_widget {
  color: #565656;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
  color: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
  background-color: #ffffff;
  border-color: #cccccc;
}
.notification_widget .badge {
  color: #ffffff;
  background-color: #333333;
}
.notification_widget.warning {
  background-color: #f0ad4e;
  border-color: #eea236;
  color: #ffffff;
  background-color: #b46102;
  border-color: #b46102;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #ffffff;
  background-color: #ec971f;
  background-image: none;
  border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
  color: #ffffff;
  background-color: #d58512;
  border-color: #985f0d;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning .badge {
  color: #f0ad4e;
  background-color: #ffffff;
}
.notification_widget.success {
  color: #ffffff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #ffffff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #ffffff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #ffffff;
  background-color: #449d44;
  background-image: none;
  border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
  color: #ffffff;
  background-color: #398439;
  border-color: #255625;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success .badge {
  color: #5cb85c;
  background-color: #ffffff;
}
.notification_widget.info {
  color: #ffffff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #ffffff;
  background-color: #31b0d5;
  background-image: none;
  border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
  color: #ffffff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info .badge {
  color: #5bc0de;
  background-color: #ffffff;
}
.notification_widget.danger {
  background-color: #d9534f;
  border-color: #d43f3a;
  color: #ffffff;
  background-color: #df0404;
  border-color: #df0404;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #ffffff;
  background-color: #c9302c;
  background-image: none;
  border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
  color: #ffffff;
  background-color: #ac2925;
  border-color: #761c19;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger .badge {
  color: #d9534f;
  background-color: #ffffff;
}
div#pager {
  background-color: #ffffff;
  font-size: 14px;
  line-height: 20px;
  overflow: hidden;
  display: none;
  position: fixed;
  bottom: 0px;
  width: 100%;
  max-height: 50%;
  padding-top: 8px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  /* Display over codemirror */
  z-index: 100;
  /* Hack which prevents jquery ui resizable from changing top. */
  top: auto !important;
}
div#pager pre {
  line-height: 1.21429em;
  color: #000000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-button-area .ui-button {
  padding-top: 0px;
  padding-bottom: 0px;
  padding-right: 10px;
  padding-left: 10px;
}
div#pager #pager-contents {
  position: relative;
  overflow: auto;
  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
  position: relative;
  padding: 15px 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
  top: 0px;
  height: 8px;
  background: #f7f7f7;
  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
  /* This injects handle bars (a short, wide = symbol) for 
        the resize handle. */
}
div#pager .ui-resizable-handle::after {
  content: '';
  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
  margin-left: -15px;
  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  line-height: 1.8em;
}
.shortcut_key {
  display: inline-block;
  width: 21ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
  display: inline-block;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
span.save_widget {
  height: 30px;
  margin-top: 4px;
  display: flex;
  justify-content: flex-start;
  align-items: baseline;
  width: 50%;
  flex: 1;
}
span.save_widget span.filename {
  height: 100%;
  line-height: 1em;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  text-overflow: ellipsis;
  overflow: hidden;
  white-space: nowrap;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
[dir="rtl"] span.save_widget.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] span.save_widget span.filename {
  margin-left: 0;
  margin-right: 16px;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
  white-space: nowrap;
  padding: 0 5px;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
    padding: 0 0 0 5px;
  }
  span.checkpoint_status,
  span.autosave_status {
    display: none;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  span.checkpoint_status {
    display: none;
  }
  span.autosave_status {
    font-size: x-small;
  }
}
.toolbar {
  padding: 0px;
  margin-left: -5px;
  margin-top: 2px;
  margin-bottom: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.toolbar select,
.toolbar label {
  width: auto;
  vertical-align: middle;
  margin-right: 2px;
  margin-bottom: 0px;
  display: inline;
  font-size: 92%;
  margin-left: 0.3em;
  margin-right: 0.3em;
  padding: 0px;
  padding-top: 3px;
}
.toolbar .btn {
  padding: 2px 8px;
}
.toolbar .btn-group {
  margin-top: 0px;
  margin-left: 5px;
}
.toolbar-btn-label {
  margin-left: 6px;
}
#maintoolbar {
  margin-bottom: -3px;
  margin-top: -8px;
  border: 0px;
  min-height: 27px;
  margin-left: 0px;
  padding-top: 11px;
  padding-bottom: 3px;
}
#maintoolbar .navbar-text {
  float: none;
  vertical-align: middle;
  text-align: right;
  margin-left: 5px;
  margin-right: 0px;
  margin-top: 0px;
}
.select-xs {
  height: 24px;
}
[dir="rtl"] .btn-group > .btn,
.btn-group-vertical > .btn {
  float: right;
}
.pulse,
.dropdown-menu > li > a.pulse,
li.pulse > a.dropdown-toggle,
li.pulse.open > a.dropdown-toggle {
  background-color: #F37626;
  color: white;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
 * of chance of beeing generated from the ../less/[samename].less file, you can
 * try to get back the less file by reverting somme commit in history
 **/
/*
 * We'll try to get something pretty, so we
 * have some strange css to have the scroll bar on
 * the left with fix button on the top right of the tooltip
 */
@-moz-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-webkit-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-moz-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
@-webkit-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
/*properties of tooltip after "expand"*/
.bigtooltip {
  overflow: auto;
  height: 200px;
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
}
/*properties of tooltip before "expand"*/
.smalltooltip {
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
  text-overflow: ellipsis;
  overflow: hidden;
  height: 85px;
}
.tooltipbuttons {
  position: absolute;
  padding-right: 15px;
  top: 0px;
  right: 0px;
}
.tooltipbuttons .ui-button {
  padding-top: 0px;
  padding-bottom: 0px;
  padding-right: 10px;
  padding-left: 10px;
}
.tooltiptext {
  /*avoid the button to overlap on some docstring*/
  padding-right: 30px;
  /*avoid the ui-icon(s) from overlapping the tooltip*/
  padding-top: 5px;
}
.ipython_tooltip {
  max-width: 700px;
  /*fade-in animation when inserted*/
  -webkit-animation: fadeOut 400ms;
  -moz-animation: fadeOut 400ms;
  animation: fadeOut 400ms;
  -webkit-animation: fadeIn 400ms;
  -moz-animation: fadeIn 400ms;
  animation: fadeIn 400ms;
  vertical-align: middle;
  background-color: #f7f7f7;
  overflow: visible;
  border: #ababab 1px solid;
  outline: none;
  padding: 3px;
  margin: 0px;
  padding-left: 7px;
  font-family: monospace;
  min-height: 50px;
  -moz-box-shadow: 0px 6px 10px -1px #adadad;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  border-radius: 2px;
  position: absolute;
  z-index: 1000;
}
.ipython_tooltip a {
  float: right;
}
.ipython_tooltip .tooltiptext pre {
  border: 0;
  border-radius: 0;
  font-size: 100%;
  background-color: #f7f7f7;
}
.pretooltiparrow {
  left: 0px;
  margin: 0px;
  top: -16px;
  width: 40px;
  height: 16px;
  overflow: hidden;
  position: absolute;
}
.pretooltiparrow:before {
  background-color: #f7f7f7;
  border: 1px #ababab solid;
  z-index: 11;
  content: "";
  position: absolute;
  left: 15px;
  top: 10px;
  width: 25px;
  height: 25px;
  -webkit-transform: rotate(45deg);
  -moz-transform: rotate(45deg);
  -ms-transform: rotate(45deg);
  -o-transform: rotate(45deg);
}
ul.typeahead-list i {
  margin-left: -10px;
  width: 18px;
}
[dir="rtl"] ul.typeahead-list i {
  margin-left: 0;
  margin-right: -10px;
}
ul.typeahead-list {
  max-height: 80vh;
  overflow: auto;
}
ul.typeahead-list > li > a {
  /** Firefox bug **/
  /* see https://github.com/jupyter/notebook/issues/559 */
  white-space: normal;
}
ul.typeahead-list  > li > a.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .typeahead-list {
  text-align: right;
}
.cmd-palette .modal-body {
  padding: 7px;
}
.cmd-palette form {
  background: white;
}
.cmd-palette input {
  outline: none;
}
.no-shortcut {
  min-width: 20px;
  color: transparent;
}
[dir="rtl"] .no-shortcut.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .command-shortcut.pull-right {
  float: left !important;
  float: left;
}
.command-shortcut:before {
  content: "(command mode)";
  padding-right: 3px;
  color: #777777;
}
.edit-shortcut:before {
  content: "(edit)";
  padding-right: 3px;
  color: #777777;
}
[dir="rtl"] .edit-shortcut.pull-right {
  float: left !important;
  float: left;
}
#find-and-replace #replace-preview .match,
#find-and-replace #replace-preview .insert {
  background-color: #BBDEFB;
  border-color: #90CAF9;
  border-style: solid;
  border-width: 1px;
  border-radius: 0px;
}
[dir="ltr"] #find-and-replace .input-group-btn + .form-control {
  border-left: none;
}
[dir="rtl"] #find-and-replace .input-group-btn + .form-control {
  border-right: none;
}
#find-and-replace #replace-preview .replace .match {
  background-color: #FFCDD2;
  border-color: #EF9A9A;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .insert {
  background-color: #C8E6C9;
  border-color: #A5D6A7;
  border-radius: 0px;
}
#find-and-replace #replace-preview {
  max-height: 60vh;
  overflow: auto;
}
#find-and-replace #replace-preview pre {
  padding: 5px 10px;
}
.terminal-app {
  background: #eeeeee;
}
.terminal-app #header {
  background: #ffffff;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.terminal-app .terminal {
  width: 100%;
  float: left;
  font-family: monospace;
  color: white;
  background: black;
  padding: 0.4em;
  border-radius: 2px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  line-height: 1em;
  font-size: 14px;
}
.terminal-app .terminal .xterm-rows {
  padding: 10px;
}
.terminal-app .terminal-cursor {
  color: black;
  background: white;
}
.terminal-app .terminado-container-container {
  padding-top: 20px;
  height: 100%;
}
.terminal-app #terminado-container {
  height: 100%;
}
.btn-danger {
  color: #ffffff;
  background-color: #df0404;
  border-color: #df0404;
}
.btn-warning {
  color: #ffffff;
  background-color: #b46102;
  border-color: #b46102;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000000;
  text-shadow: 0 1px 0 #ffffff;
  filter: alpha(opacity=60);
  opacity: 0.6;
}
.close:hover,
.close:focus {
  color: #000000;
  text-decoration: none;
  cursor: pointer;
  filter: alpha(opacity=100);
  opacity: 1;
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
  appearance: none;
}
.navbar-nav > li > a {
  color: #565656;
}
.navbar-nav > li > a:focus {
  /* -webkit-focus-ring-color = '#5B9DD9' */
  outline: -webkit-focus-ring-color auto 5px;
}
/*# sourceMappingURL=style.min.css.map */
    </style>
<style type="text/css">
    .highlight .hll { background-color: #ffffcc }
.highlight  { background: #f8f8f8; }
.highlight .c { color: #408080; font-style: italic } /* Comment */
.highlight .err { border: 1px solid #FF0000 } /* Error */
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
.highlight .o { color: #666666 } /* Operator */
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
.highlight .cs { color: #408080; font-style: italic } /* Comment.Special */
.highlight .gd { color: #A00000 } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .gr { color: #FF0000 } /* Generic.Error */
.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
.highlight .gi { color: #00A000 } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #000080; font-weight: bold } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
.highlight .gt { color: #0044DD } /* Generic.Traceback */
.highlight .kc { color: #008000; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008000 } /* Keyword.Pseudo */
.highlight .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #B00040 } /* Keyword.Type */
.highlight .m { color: #666666 } /* Literal.Number */
.highlight .s { color: #BA2121 } /* Literal.String */
.highlight .na { color: #7D9029 } /* Name.Attribute */
.highlight .nb { color: #008000 } /* Name.Builtin */
.highlight .nc { color: #0000FF; font-weight: bold } /* Name.Class */
.highlight .no { color: #880000 } /* Name.Constant */
.highlight .nd { color: #AA22FF } /* Name.Decorator */
.highlight .ni { color: #999999; font-weight: bold } /* Name.Entity */
.highlight .ne { color: #D2413A; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0000FF } /* Name.Function */
.highlight .nl { color: #A0A000 } /* Name.Label */
.highlight .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */
.highlight .nt { color: #008000; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #19177C } /* Name.Variable */
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<h1 id="Drawing-From-A-Given-Distribution">Drawing From A Given Distribution<a class="anchor-link" href="#Drawing-From-A-Given-Distribution">&#182;</a></h1><p><strong>FIZ353 - Numerical Analysis | 04/12/2020</strong></p>
<p>Emre S. Tasci <a href="mailto:emre.tasci@hacettepe.edu.tr">emre.tasci@hacettepe.edu.tr</a></p>

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<h2 id="Discrete-Distributions">Discrete Distributions<a class="anchor-link" href="#Discrete-Distributions">&#182;</a></h2><p>A fair, 6-sided dice has equal probabilities for each of the outcomes between 1-6 and this can be represented in a graph such as:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="n">fair_pdf</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ones</span><span class="p">(</span><span class="mi">6</span><span class="p">)</span> <span class="o">*</span> <span class="mf">1.</span><span class="o">/</span><span class="mi">6</span>

<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">),</span><span class="n">fair_pdf</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="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="o">/</span><span class="mi">12</span><span class="p">,</span><span class="mi">1</span><span class="o">/</span><span class="mi">6</span><span class="p">],[</span><span class="s2">&quot;0&quot;</span><span class="p">,</span><span class="s2">&quot;1/12&quot;</span><span class="p">,</span><span class="s2">&quot;1/6&quot;</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;PDF of a fair 6-sided dice&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>These kind of probability distribution functions (PDFs) where every possible outcome has equal probability are called as <strong>Uniform Distributions</strong>.</p>
<p>Now consider that we have a "loaded dice" such that its PDF is given by:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">loaded_pdf</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">3</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">])</span>

<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">),</span><span class="n">loaded_pdf</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="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span><span class="mi">1</span><span class="o">/</span><span class="mi">4</span><span class="p">,</span><span class="mi">3</span><span class="o">/</span><span class="mi">8</span><span class="p">],[</span><span class="s2">&quot;0&quot;</span><span class="p">,</span><span class="s2">&quot;1/8&quot;</span><span class="p">,</span><span class="s2">&quot;1/4&quot;</span><span class="p">,</span><span class="s2">&quot;3/8&quot;</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;PDF of a loaded 6-sided dice&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<p>and we are using it to draw our data.</p>

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<p>We will assume that we only have a randomizer function that uses uniform distribution.</p>

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<h3 id="numpy.random.rand()">numpy.random.rand()<a class="anchor-link" href="#numpy.random.rand()">&#182;</a></h3><p>numpy's random.rand() is such a function that generates a random number uniformly (where each number has an equal probability) between 0 and 1 [0,1), i.e., 0 inclusive, 1 exclusive.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>

<span class="c1"># Fixing the seed so that the results are repeatable</span>
<span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span><span class="p">(</span><span class="mi">353</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Returns a single random number between 0 and 1 [0,1)</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">()</span> 
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;r:&quot;</span><span class="p">,</span><span class="n">r</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n</span><span class="s2">&quot;</span><span class="p">)</span>
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<pre>r: 0.4361800250899014 

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Returns a (2x3) matrix filled with random numbers [0,1)</span>
<span class="n">m</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;m:</span><span class="se">\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">m</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n</span><span class="s2">&quot;</span><span class="p">)</span>
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<pre>m:
 [[0.26300446 0.81565745 0.6808622 ]
 [0.74138771 0.30520115 0.08876155]] 

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># To pick a number between a and b, </span>
<span class="c1">#all we need to do is multiply the rand by (b-a) and add a, e.g.,</span>
<span class="n">random_number_between_7_and_11</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">()</span> <span class="o">*</span> <span class="p">(</span><span class="mi">11</span><span class="o">-</span><span class="mi">7</span><span class="p">)</span> <span class="o">+</span> <span class="mi">7</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;r_(7-11): &quot;</span><span class="p">,</span><span class="n">random_number_between_7_and_11</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n</span><span class="s2">&quot;</span><span class="p">)</span>
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<pre>r_(7-11):  10.00272480217471 

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># To pick a random integer from [a,b):</span>
<span class="n">random_integer_between_7_and_11</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">floor</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">()</span> <span class="o">*</span> <span class="p">(</span><span class="mi">11</span><span class="o">-</span><span class="mi">7</span><span class="p">)</span> <span class="o">+</span> <span class="mi">7</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;int_(7-11): &quot;</span><span class="p">,</span><span class="n">random_integer_between_7_and_11</span><span class="p">,</span><span class="s2">&quot;</span><span class="se">\n</span><span class="s2">&quot;</span><span class="p">)</span>
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<pre>int_(7-11):  7.0 

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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># ... or we can use the built-in numpy.random.randint(min,max,size):</span>
<span class="nb">print</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">randint</span><span class="p">(</span><span class="mi">7</span><span class="p">,</span><span class="mi">11</span><span class="p">,[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">]))</span>
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<pre>[[9 9 7]
 [7 9 9]]
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<h3 id="Drawing-directly-from-a-list">Drawing directly from a list<a class="anchor-link" href="#Drawing-directly-from-a-list">&#182;</a></h3><p>In our first approach we will put the possible outcomes of our loaded dice into a box, such that the occurence of each of the possible outcomes will reflect the given PDF, e.g., out of a total 8 entries, 1 of them will be 1, no 2, 2 of them will be 3, etc..</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">loaded_pdf</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">3</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">])</span>

<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">),</span><span class="n">loaded_pdf</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="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span><span class="mi">1</span><span class="o">/</span><span class="mi">4</span><span class="p">,</span><span class="mi">3</span><span class="o">/</span><span class="mi">8</span><span class="p">],[</span><span class="s2">&quot;0&quot;</span><span class="p">,</span><span class="s2">&quot;1/8&quot;</span><span class="p">,</span><span class="s2">&quot;1/4&quot;</span><span class="p">,</span><span class="s2">&quot;3/8&quot;</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;PDF of a loaded 6-sided dice&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">box_contents</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">6</span><span class="p">])</span>
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<p>So we will pick one from the box, record it and will then put it back. Let's do this operation 10 times:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">drawn_numbers</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([])</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">11</span><span class="p">):</span>
    <span class="c1"># We have 8 elements in our box, so randomly pick one</span>
    <span class="n">r</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">randint</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">8</span><span class="p">)</span> <span class="c1"># r is an integer from [0,7]</span>
    <span class="n">rth_element</span> <span class="o">=</span> <span class="n">box_contents</span><span class="p">[</span><span class="n">r</span><span class="p">]</span>
    <span class="n">drawn_numbers</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">drawn_numbers</span><span class="p">,</span><span class="n">rth_element</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">drawn_numbers</span><span class="p">)</span>
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<pre>[5. 5. 1. 3. 4. 6. 3. 3. 3. 1.]
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<pre>array([5., 5., 1., 3., 4., 6., 3., 3., 3., 1.])</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">f</span> <span class="o">=</span> <span class="n">drawn_numbers</span><span class="o">==</span><span class="mi">5</span>
<span class="nb">sum</span><span class="p">(</span><span class="n">f</span><span class="p">)</span>
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<pre>2</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Let&#39;s calculate the frequencies of occurences:</span>
<span class="n">freqs</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="mi">7</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">):</span>
    <span class="n">freqs</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">drawn_numbers</span> <span class="o">==</span> <span class="n">i</span><span class="p">)</span>
    <span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;Number of occurences of </span><span class="si">%d</span><span class="s2">: </span><span class="si">%d</span><span class="s2">&quot;</span><span class="o">%</span><span class="p">(</span><span class="n">i</span><span class="p">,</span><span class="n">freqs</span><span class="p">[</span><span class="n">i</span><span class="p">]))</span>
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<pre>Number of occurences of 1: 2
Number of occurences of 2: 0
Number of occurences of 3: 4
Number of occurences of 4: 1
Number of occurences of 5: 2
Number of occurences of 6: 1
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># From here on, calculating the occurence probabilities are straightforward:</span>
<span class="n">probs</span> <span class="o">=</span> <span class="n">freqs</span> <span class="o">/</span> <span class="mf">10.</span>
<span class="n">probs</span> <span class="o">=</span> <span class="n">probs</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="p">]</span> <span class="c1"># Taking out the dummy 0th entry</span>
<span class="nb">print</span><span class="p">(</span><span class="n">probs</span><span class="p">)</span>

<span class="c1"># We will use the original probability dist for comparison</span>
<span class="n">probs_real</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">3</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">])</span>

<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">),</span><span class="n">probs</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">),</span><span class="n">probs_real</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="p">],</span><span class="n">color</span><span class="o">=</span><span class="s2">&quot;none&quot;</span><span class="p">,</span><span class="n">edgecolor</span><span class="o">=</span><span class="s2">&quot;red&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<pre>[0.2 0.  0.4 0.1 0.2 0.1]
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<p>Not quite what we started from in the first place.</p>
<p>Let's collect all the code we have written so far and also increase the number of drawings from the box:</p>

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<div class="prompt input_prompt">In&nbsp;[16]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="c1"># We will use the original probability dist for comparison</span>
<span class="n">probs_real</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">3</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">])</span>

<span class="n">N</span> <span class="o">=</span> <span class="mi">10000</span><span class="p">;</span> <span class="c1"># Number of drawings</span>
<span class="n">box_contents</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">,</span><span class="mi">6</span><span class="p">])</span>

<span class="n">drawn_numbers</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([])</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">N</span><span class="p">):</span>
    <span class="c1"># We have 8 elements in our box, so randomly pick one</span>
    <span class="n">r</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">randint</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">8</span><span class="p">)</span> <span class="c1"># r is an integer from [0,7]</span>
    <span class="n">rth_element</span> <span class="o">=</span> <span class="n">box_contents</span><span class="p">[</span><span class="n">r</span><span class="p">]</span>
    <span class="n">drawn_numbers</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">drawn_numbers</span><span class="p">,</span><span class="n">rth_element</span><span class="p">)</span>
    
<span class="c1"># Let&#39;s calculate the frequencies of occurences:</span>
<span class="n">freqs</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="mi">7</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">):</span>
    <span class="n">freqs</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">drawn_numbers</span> <span class="o">==</span> <span class="n">i</span><span class="p">)</span>
    <span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;Number of occurences of </span><span class="si">%d</span><span class="s2">: </span><span class="si">%d</span><span class="s2">&quot;</span><span class="o">%</span><span class="p">(</span><span class="n">i</span><span class="p">,</span><span class="n">freqs</span><span class="p">[</span><span class="n">i</span><span class="p">]))</span>
    
<span class="n">probs</span> <span class="o">=</span> <span class="n">freqs</span> <span class="o">/</span> <span class="n">N</span>
<span class="n">probs</span> <span class="o">=</span> <span class="n">probs</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="p">]</span> <span class="c1"># Taking out the dummy 0th entry</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="se">\n</span><span class="s2">probabilities: </span><span class="se">\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">probs</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">),</span><span class="n">probs</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">),</span><span class="n">probs_real</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="p">],</span><span class="n">color</span><span class="o">=</span><span class="s2">&quot;none&quot;</span><span class="p">,</span><span class="n">edgecolor</span><span class="o">=</span><span class="s2">&quot;red&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;PDF of a loaded 6-sided dice after </span><span class="si">%d</span><span class="s2"> rolls&quot;</span><span class="o">%</span><span class="p">(</span><span class="n">N</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>Number of occurences of 1: 1245
Number of occurences of 2: 0
Number of occurences of 3: 2498
Number of occurences of 4: 1222
Number of occurences of 5: 3796
Number of occurences of 6: 1239

probabilities: 
 [0.1245 0.     0.2498 0.1222 0.3796 0.1239]
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<img 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<p>And thus, we recover our initial distribution.</p>

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<h3 id="Using-the-PDF-directly">Using the PDF directly<a class="anchor-link" href="#Using-the-PDF-directly">&#182;</a></h3><p>Most of the time, we don't have a small number of options (in the limit, we will be talking about continous outcomes), or even rational probabilities meaning that, we are not able to construct a sample box representing the distribution precisely. In those times, we literally employ the probabilities:</p>
<ol>
<li>First, pick a random possible outcome</li>
<li>Then, roll a fair dice to see if it would come</li>
</ol>
<p>Codewise, this translates to:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="c1"># The first 0 is to cover the dummy 0th value</span>
<span class="n">probs</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">3</span><span class="o">/</span><span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="o">/</span><span class="mi">8</span><span class="p">])</span>

<span class="n">N</span> <span class="o">=</span> <span class="mi">10000</span>

<span class="n">drawn_numbers</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([])</span>

<span class="k">while</span> <span class="n">drawn_numbers</span><span class="o">.</span><span class="n">size</span><span class="o">&lt;=</span><span class="n">N</span><span class="p">:</span>
    <span class="c1"># First pick a random integer from [1,6]</span>
    <span class="n">r</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">randint</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">)</span>
    
    <span class="c1"># It&#39;s happening probability is probs[r],</span>
    <span class="c1"># so, roll a dice, if the outcome is less than the</span>
    <span class="c1"># probability, accept it, else, reject it</span>
    <span class="k">if</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">()</span><span class="o">&lt;</span><span class="n">probs</span><span class="p">[</span><span class="n">r</span><span class="p">]):</span>
        <span class="n">drawn_numbers</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">drawn_numbers</span><span class="p">,</span><span class="n">r</span><span class="p">)</span>

<span class="c1"># Calculate the frequencies of occurence &amp; probabilities from the set:</span>
<span class="n">freqs</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="mi">7</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">):</span>
    <span class="n">freqs</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">drawn_numbers</span> <span class="o">==</span> <span class="n">i</span><span class="p">)</span>
    <span class="nb">print</span> <span class="p">(</span><span class="s2">&quot;Number of occurences of </span><span class="si">%d</span><span class="s2">: </span><span class="si">%d</span><span class="s2">&quot;</span><span class="o">%</span><span class="p">(</span><span class="n">i</span><span class="p">,</span><span class="n">freqs</span><span class="p">[</span><span class="n">i</span><span class="p">]))</span>
    
<span class="n">probs2</span> <span class="o">=</span> <span class="n">freqs</span> <span class="o">/</span> <span class="n">N</span>
<span class="n">probs2</span> <span class="o">=</span> <span class="n">probs2</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="p">]</span> <span class="c1"># Taking out the dummy 0th entry</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="se">\n</span><span class="s2">Calculated probabilities: </span><span class="se">\n</span><span class="s2">&quot;</span><span class="p">,</span><span class="n">probs2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">),</span><span class="n">probs2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">7</span><span class="p">),</span><span class="n">probs</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="p">],</span><span class="n">color</span><span class="o">=</span><span class="s2">&quot;none&quot;</span><span class="p">,</span><span class="n">edgecolor</span><span class="o">=</span><span class="s2">&quot;red&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;PDF of a loaded 6-sided dice after </span><span class="si">%d</span><span class="s2"> rolls&quot;</span><span class="o">%</span><span class="p">(</span><span class="n">N</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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<pre>Number of occurences of 1: 1196
Number of occurences of 2: 0
Number of occurences of 3: 2519
Number of occurences of 4: 1237
Number of occurences of 5: 3790
Number of occurences of 6: 1259

Calculated probabilities: 
 [0.1196 0.     0.2519 0.1237 0.379  0.1259]
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<h2 id="An-Introduction-to-Continous-Distributions-&amp;-Gaussian-Distribution">An Introduction to Continous Distributions &amp; Gaussian Distribution<a class="anchor-link" href="#An-Introduction-to-Continous-Distributions-&amp;-Gaussian-Distribution">&#182;</a></h2><p>A continous distribution is characterized by a normalized PDF p(x) such that:
\begin{equation*}
\int_{-\infty}^{\infty}{p(x)\,\mathrm{d}x } = 1
\end{equation*}</p>
<p>Gaussian (Normal) distribution is one such distribution that occurs very frequently in nature. Its (normalized) form is given by:</p>
\begin{equation*}
G(x|\mu,\sigma) = {{1} \over {\sqrt{2\pi\sigma^2}}}\exp\left[-{{(x-\mu)^2}\over{2\sigma^2}}\right]
\end{equation*}<p>where $(\mu,\, \sigma)$ are two variables that characterizes the symmetry center and the spanning of the gaussian curve (later, we'll see that they correspond to the mean &amp; standard deviation of an ideal Gaussian distribution).</p>
<p>We can define and use the Gaussian PDF:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>

<span class="k">def</span> <span class="nf">gauss</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">mu</span><span class="p">,</span><span class="n">sigma</span><span class="p">):</span>
    <span class="k">return</span> <span class="mi">1</span><span class="o">/</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">)</span><span class="o">*</span><span class="n">sigma</span><span class="p">)</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="p">(</span><span class="n">x</span><span class="o">-</span><span class="n">mu</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="o">/</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">sigma</span><span class="o">**</span><span class="mi">2</span><span class="p">))</span>

<span class="nb">print</span><span class="p">(</span><span class="n">gauss</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mf">1.5</span><span class="p">))</span>
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<pre>0.2129653370149015
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<p>or, we can use the built-in function:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">scipy.stats</span> <span class="k">import</span> <span class="n">norm</span>

<span class="n">x</span> <span class="o">=</span> <span class="mf">3.0</span>
<span class="n">mu</span> <span class="o">=</span> <span class="mf">4.0</span>
<span class="n">sigma</span> <span class="o">=</span> <span class="mf">1.5</span>

<span class="nb">print</span><span class="p">(</span><span class="n">norm</span><span class="o">.</span><span class="n">pdf</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">mu</span><span class="p">,</span><span class="n">sigma</span><span class="p">))</span>
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<pre>0.2129653370149015
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<p>As always, built-in functions are cheaper, more optimized, and faster, thus we'll retain using them whenever we can.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">from</span> <span class="nn">scipy.stats</span> <span class="k">import</span> <span class="n">norm</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="o">-</span><span class="mi">2</span><span class="p">,</span><span class="mi">10</span><span class="p">,</span><span class="mi">1000</span><span class="p">)</span>
<span class="n">mu</span> <span class="o">=</span> <span class="mf">4.0</span>
<span class="n">sigma</span> <span class="o">=</span> <span class="mf">1.5</span>

<span class="n">g</span> <span class="o">=</span> <span class="n">norm</span><span class="o">.</span><span class="n">pdf</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">mu</span><span class="p">,</span><span class="n">sigma</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">g</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="n">norm</span><span class="o">.</span><span class="n">pdf</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span><span class="mi">6</span><span class="p">],</span><span class="n">mu</span><span class="p">,</span><span class="n">sigma</span><span class="p">)</span>
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<pre>array([0.10934005, 0.10934005])</pre>
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<p>To draw from a continous distribution, we can employ the second approach from the discrete distributions. The corresponding built-in function is the scipy.stats.norm.rvs(mu, sigma, size), e.g.:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">scipy.stats</span> <span class="k">import</span> <span class="n">norm</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="n">mu</span> <span class="o">=</span> <span class="mf">4.0</span>
<span class="n">sigma</span> <span class="o">=</span> <span class="mf">1.5</span>

<span class="n">N</span> <span class="o">=</span> <span class="mi">1000</span>

<span class="n">r</span> <span class="o">=</span> <span class="n">norm</span><span class="o">.</span><span class="n">rvs</span><span class="p">(</span><span class="n">mu</span><span class="p">,</span><span class="n">sigma</span><span class="p">,</span><span class="n">N</span><span class="p">)</span>
<span class="c1">#print(r)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">r</span><span class="p">,</span><span class="s2">&quot;*-&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">r</span><span class="p">,</span><span class="mi">10</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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/MggbK5bVtdo+0zn7HJ8Og/TXMcswnqMDRqYWdwwnRQjh5UjLnThlkOSyA5XzNps84ZQR00uWRgSYHjGJtgUlOJQWWrtOK1dXjbGVraE/i0vgnr9xyTdorbAHFjcxNP5zVfSzgF2Ftb20+fn/ADK+wszL8/39iJlMRTo5Px6n/VN1E7v8Y2TkSbNK8pMXiNuS9fNBwA0L+309z2yjcv8W2PqJnxaO1IIOJmN+AQ1DQlEx5umv15977m+H3QhVq2EAcRmGwxBIzkl3bJuC8vcr5//h7J4R+CRm1e4q6rRgMA4nmGg3Ll966wznly9R68/OGhjNqsc0ZQA3aTw2cnDcayDw64Dki2gvJDm59goqmEUvVtfauPoKbUWPndIgfchocbm5uXIyrJGOb8zm3S2ljGJL+Tac9T712BpRv2W+ekm4XJ2puqY0dmTxfZ0/xQURJHNJoc4jKbdL0QQqYSynWM06YY+vW2Kw5ufcM0sbMretuO3zBpMNq5cef2+wdf3ao0hr12SCIFLMOyr1/kuI7oP0kF8TxnOrgK1uw6irGVJdZnxgPyzT+vd7yXDm6CHDtt9KlfSrzXYieOWy82vdr5Nba6ipmwWeeUoOZX46K8KI6dbnMdkG3txhsbVCYXJOLKnqByG7Os01rb3QV1n175KUcONDS2YIBpj55xTpLNTUVZ5oUTa/PPl38snbQRblDJtAo2UaPmTM2LGI6x6WcmHSbpxp+y5kZSDGXwsqcH0dDauL6UPdMDnxtv+3z0VJvCjstoQCm3WxAXDzelYMFVBiNeXNDk588ajap+vQAYa6v4eyZ4VWz4QLKP2dsviCWFh0gBy9C3t3OXWlGSfoQQpTQl2+13Zo6yjYFCU+Bv2nfc7nwVKpM/baa6uw2TVEwUyTnlvGpFSdKXlE6SjReU9qWEkDIAvwUwDsbzf4lSGp4XQgLm5BFL9TCMGNAbq3YeRYGEvMUPjJ7xe9ecg0WvOSlMvUwf0QjxjRzwone85eH3cOhkC7544XBcOMKwV3pt0dh2mNcYzr/P4C9mgYeiQ4y35crawiYqu2ZbwnCMDeQmZbpVtdkzhRlyJmamqVCqThpaZtml2TPxO6B2IYbQjc5WpCYFgOPcNp26nOcsJ8WeQfJ85r9zHnrH8fv8KMHsiZXJSuzcGJaB9TG7TUt7Au9+ctj6vqGxBf175zt2FOyd/ui6MfjRC5vxmy9Mkl4/CNo6Erb3Kgo70yrpQLHJTc1wwnzfzN/AMPr7L9neOfNL2OzvSI8W2WtnCwBNLUbbrhw7AP16x0Mvx6eqUf8KwEuU0tEAJgD4KNRWeCDsbUSUELS0J7B0w35M/dkKh5Y98nsvWto64J8EINc8PUwZEkeHl4bIT2w/7gXxV9SjJbIomqfX7ZOcmS64WhkhOcnYZVQ0Iy+eiVH3LMf0++xJU27aau38GkdEQn4see0v/m4V6k42+9r6rf4Xeuarj6yRKgjs928vuNzThyPbGTY0tlgUClV9i1B3ssV6V4vnVWNo317Cs1Prnd75+LrQHGPtCft7Hf39l6zvqhYscx2j4iLPTB+A3TTx5rcvw+WjkrH5+aa5awJX1gsw+nD6mcF4QFg/RXyc+rdOrwIAlBXmZ4S7xVdQE0JKAVwC4H8BgFLaSik9FmorPOC2jWDvK2jq7siBvTF32jBcfHY/m52O/XvdhEq0dhgB+gTAoRNOgfbT64Pxf/CQTVTZI1ihU+Z3HZS6Jv6IoigiWQxELJ5XbTGVycAWrVTh1y3pxGtfs6g2lAiV2vk1mDG6wnGcNxMwVJTEHbZWfhFYu+coFr22zdcpbsXFC+9n/Z5j2HzgpKMtzW3J33spCLJFa/G8ajSZtKQ7D58CYH9XotCZsvA1651ur29KKzNXBiYY//qd5Hv14hJx2Im5v/mW9y8usPg9gOSOOBa1i7eKkjgi5lWIj4lCJPOKmJdy06jDjt0WoWL6GA6gHsDvCSETAKwB8A1KaRN/EiHkNgC3AcDQoUNDa6BbaSYq/KuKjw6cxEcHTqIgFsHnpgyxXjz796m1+yw6R8NWuNV+X+pfEcRbQ3ZOVJnpg008ph0kKHVN/LlpyhA8sWZv8h4204eHWcXHLiEjb1cFu6tbIAPP27L32Gn5SQLYu7vk7P5Y8XGddTwaIbh2/CCpGcDrEWVRH4DhTBa11TseX2eFaDHw22gm1Ja8v9v2zP17F2Dv0VOO9qhO6BunDLYEMl8Z5cezxyIaIb7b+cK8CE63Jb8viBH0LsjDI1+Ziu89s8l2r6lV5Vi586haw2DsSIJUUmKCked+iSlEujC0umwlx/zgJSvGHQAGlxdi79HTUu13a52xGPbrnY+ZYwe5mijEnVhy3srbEGakiQwqgjoGYDKAr1NK3yeE/ArAAgDf50+ilD4M4GEAqK6uDq21brZS1glBV7C8KMHV5xqT+vvPbkJxPIqTze4pro+t3GP73NDY4qgIItrPPQW1pVEnIa7SvA2VTcKrflmLrT+7yqZV5UcJWjsovj1rlE1QMwHckfAeNn5JNGzRSqm0GbVvGQHj2UXBEsTcctCsbcgLacB4zufW78dLmw462ulnI2dpzjxE5cCqbcg5WwGgT1E+jpxK2nj5ElpTf2aYVOobWzCkfABEqA7b/7hpovR4W0cC0UgUtfNr8J2/bMRft9YDcNqum9vs5pSWdoqW9lY89t5uxzhVCQ/kEdQcyd4rP95X7TjiaqMW+66sME8acdOeoGjl/AV7TdrUdbuPWcfEcVd/shVL3tvlmLtuYBq125TJtEat0sq9APZSSt83P/8FhuDOKlhnB13B2juopS0tnleNASWFjnPE2FsvpGo/P3aqlaugbH8G2Xbwj18y0q55MwtztogOMT9nIkOHT7gJS5N+5vYLPM+TgV1ZnGx+1Jle6C+JSgAMrd2NbMrLRg0AP7xujOMYY/4bfvcym4nlb5wzDgCiUfu1WQktnp1QNM14UXUGAYsv5k0yBEmt9eL73/C0/y55fzfW7zlmO7bdTDYp9BnzDEGjGhbOGYc3t9RjJGei2nP0tLuNWug7t4XEbRiP4UL7aufXYNbY5IIZIcHmrl+2I+H8QpmAb49QSg8C2EMIGWUemgFgc4ba44CbHZMlgCQCcGAAwNTh5bb4bPbiK0uNQTd5aJlNgImefhFS+7lCdz2zdp9lUxTPlpk3WJkmHmzgOgW1M1JEBr/vWZr0Y+952yll9mY3OZQqdSYAK5xQBAUcZFOsTc0CIRBfcbzuRDP+9YkNjuvVmVWxKQX6cXweeVFvoc9KaImxx3lR4uBukaGvJJHGDXzM9dEmY5fFsuZYG7wWRJkCwlgORS08TMiKebiCeH50Pc4+8zZqw8zFh1OqVfMRFQ7XGP4c0KgB4OsAHiWEbAQwEcC9mWmOE26eZ1nGkgryohFbfDZ7sSNMsv1Z4wZa8awl8Rg+P2WI5/VkscZenfXO9gYAwJtb6y1tS0w/5s0bzIYqE6pRc/S0JeyJEu9+0mD9Rlw0eKHqJ6gZ/Jx1MkcW0xh5jZq9FxXqTF7oszazSSIuWl+YOtTRD6xNYkoy71+49tdvY9O+4457s2ggAGjg+DzEBVHEnTPOxuJ51Y7YY34X54WhfZzp0m5o49ryLyatZ2lhHu68fIRhziHyBZ+hpT1hpawzMH/IWf17yX4SCipK4ujNtSuMRUHslSvOMTVnYSIe4fryjPJCzzwB0ZQh/ssv+EDmbdRKgppSup5SWk0pHU8pnUMpVfc4pAm37L8OUzgF3UK+vf2w7Zo7Gwyf6GmTo6DuRIuVxpoXjeC7Vzu3xjykKbMe508VIi3ieRFcfe5A12t68T8wDZNP0Fm0YhuONBl2vP98czsaTsoF2KLXtikvdl70rG7c3V6XFt9ZoSRzjRf6rM2NZqyqKNB+NDtZVEFs0+4jSUeeWHG87mSL8rS6ZGQ/nH+W3UYtLnTMMSZO4uqqco67xTiWrubVzi3OjKwoLxqx9a/bghiPRRABcdh7WUauqq06KKkTW3z5dokZmjxOnG6zXd/N39CrwD5+vnhRFQDnPHzgpmRy07jBpZ7RWuK9mABmyoIYUEBkzqcQkVOZiW6QZf+xScK/lyAhX4xrg2U27jLDl55dvw9bDhqeYUIIDp0IHj7mBTHEq6U9gV757poPGwD1jS2OZ2MODtHrz7Cj4RSuXfS29VkUqh8dUGNrcwtj8uLutraMCknkze1OZy5bSPk2nzJDzT7Ya9eCeaEntom3VqjaxmUWjkPHm3HDZPvu6pRAQBQ1O0ScxNdNqHRwt6SreR06nhwHLPuydluDrX95Aioeze0JT0ey6mbVQerkd765+P7zpWdZx8QdD48VHx2yXd+N78bB/SFovwy8YztoxiyjC955+JRjwa9asAwLntrI3zp0dAlBLcv+S0g64/6X5CnVMjCujf3HzLI6pubZ0NhqveyGxhbM+pWTUlGEqEF5aUviAPnspMF4ZbN8QvH4v7/twModR3D/ix9bx5jpQ7TD8uA3lrMnVlpCqCAWcWgibnBLJ/fi7j5h8i3IhLAIt/c1pNxw9IpTaqLAdc0LPbFNvLVC1TYus3BsOdSIb3NcyYBz217z7286JjEA/OSFpEvHLY7a+E4dX/7jKmvRZnHDA0vtzlYZ8xy7z4t3XoR8YUVi1YD2HGmS/MoJkdTJL46dLb43/reaFv7up0ds1z8iidABnO/SLdCAf1pVOc2u8ch7uwAAhfkRB0/KzLEDLH7qMEqyyZCaVydDEAUegyyWmm39+M5g8c8sltQLNaMNro0BxQU4dNLdVqWiXXjFVbvZshiK8qI40WwfgJv3JzXGfWaM8ZtbDbvzU1w4GwtXu/nh91zvXxCLWAK0uCBmCaGW9gRaJIyUMriFSNadaMaLHyRrMs6dNgxLzAH9ltnebYfcNSY/sDArsQt6+aTs81vrqr5FVrJHQ2MLyorycMxlwjPcOn0YXty43yYYohGC8YNLsU6IlODx8LwpWPrBASvNm2FgaRx1J5tRURyXhmcyEA/pIYaXHW5qw9SfrUBBLIJ/u2kCAODgcfs4Zs8tw5jKUsd7Y7vUlvbUhE1nlXgTITr4LDOFh/nb613z+NIfVtn8AadbE47+/bS+CbtME5tXNZt0kFMa9fn3yWsgPrl6j5NkyewEWeYgAF+ipNc/rsObW+o9O8zHyQ/AafcEgGfWJWOaeSH++cXvWlmPDKJWAgDf+NN6/xsjqdGdV1Uu/Z7AzgTY0NiCctMRd8FZfVyTUWSQmZUWrdhms3NuPZTMrGMCjbcRB8EZ5c6wSQa36A8GfqxM4LTvxfOqbXwmblg4Z5ztd4AhxPxCNe94bJ1jEgPGgiM6r4OS2rux2LW0J/DNP60DABQLOyS318TuXCCY4RoUitGK4O+hEq4nSzBKFw5BbWnUdvCf3d4NG+eMRuLfb5pgC+sDjFBQ/ve8+eblDw9lpCRXTmjUMsIbHrKVmmnUEeLUeomPxxsApp/ZB2t3H7O00lQxe2IlXtx4wOaYmzV2oPSZVu5Qs+d52e1kWOWSTfaVi4fjcGOrlVSyeF41Jv/0VQBASWE+8mMRZa8776R6cs1eaX/Jno/vHwpqZfn5YfKwcuw5Ks9YFMPkMhUSxWPUgN42rmQZHvnyebjzT+ulygNPrgTYw+sY3JYfr/lx/cRK7DlyCmt3H3Nk7nm9llH3LMeZ/Xvb/BR9e+VLKyZ5YeLQcqzdpRZbcMvUM6QLWboQ5z+zv4tmCP6jm42aFbBlLJelhXmOHdyM0RV4Ys1eV5bNlvZE4KxNP+SERu0X8ylbqdlkkJkmbpg0xJeiszAvirc9arwBhhfdD8UFMUf0REFe1MFRmw307V2Ab80cZX2uWrDMClF6adNBZSEtOiFb2hPK2rjYP6oOKNbOssIYRg2wRwYwdjSGc37wEoYvWCaPtxfun6pQnzq8L/7BLLzqhvJeBbZiwjwKYkYs9e/NepFBBKLX/Hhu/X6sNTPwRGHu9ay1d9XgY8GZHFRIA7BInwAz58FD8fnhdWMdQi8MiALZzenIn9fc3mHbIYoFbA+a8uWf/m+1LawvnhdBfWOLZyp5Juon5oSgTiUJorTQ/fzCvIgvUdKbW+ox9d4VnjbofsXyTDgePEMZAzV5OZolZYkCZuk6MHOsMx3ZDR0JO9fH7BS5O8TIDtkuxg3DOIfWO9sPS009Mvx49lgAQF4sivPPspevqhQ4yIf2KQIIpE7kDj7GPE3qSb9mH25stRUT5tHSbsRS/+PvDXLaphanLdPt+hUlcVtRBxFuJjqeUc5xzeI4zuxnj5dOc2hi1c4j+JWHv4ZS2CqjhAWHRs0iwsRFmvt7y4GTtsADcTFk8/SBG8fjPz4/0TreuyAPi+dVu45/CuCFDftD5aIGckRQA4bAC0LQ4jXZZXHXIh78uwm+4VqE+AvWlz88ZDGUMTxvTirxOBCsWrUM35k5WvncE6fbcPtja63PvVPUZsTIjjkTBzsK8rphHEc16VUxXgRfIUbcpopdsvvIKVcWPT7W2cgCTa0DVH635L1dePDvJrp///5um2NKhMyEwJ7nEkmtxSnDynDD5MGuY6qPT6ajyC6XCt42E7gAY04+6uHEz1QyiGijtniAhPvxp33a0GQbMxc/8IZtnLN3WlKYJ4w3ezy1iKL8KC5x2VWlg5wR1IvnVUsTH9zgJfBUqq6UFeb7avEExHcwy4T9lWMMrXfGOU7tl6Wqp4orHvyr8rl/+6QBG/ckI0h4c1CQLDiRXrOptR0XCskfAFAhEd4sSxIAgsgFPrNRNCceEbbo7GtGT8rTaPKxxEve342tClEoVQuW4Y0t9bZjr3x4CCclhEA8ln1wABN+LC9yy9r2a64qvIixg0scx9g2+g9fchZ0LYhG0dTSbpnYxAVs3zHvHYQoyNwK73qhWjDveTngM+VLEE0dzPy/+8gpO62BZKHgk7n4cT7IDHW8f/nHtuOsApDbs/TrnY8/mOatMJEzghqA695LlsTS7hF7I4u7FkFB0dDY4unJjxCjTJUXZFtSarb5ZLNzYp/lkYmlAq9MLhEf7DthG5pvbU0KnyHlhb7PxsCbkRj/Ns8ax1AgeZcsSxJIpj2r3JY5hCKE4A/v7LR9d1qwrbNnZFVMeAL+4f2SC1I8L6K0q5A1r+5kCxYu866XURCL4KpxA6XfMcKm4f3d+0/mE/FKPT/e3IbF86px1bkGd8YwIW7aTyloE2zaf3decHri1cIuwCvLPmikiyocYYbmgea2hM0cVi8Jw+WTufhxPqLCoJTYVteIh9/6NHntBPXM0/DjBkoVOSWo3TyxsiQWL56KuRLuBxkWz6tGaaGT7IiBEH+NWrbN2XLQsH/xNIsMnRGh4IZXv3mp9fcPrxvrCM9yw6HjzuiLe4VSVYB/thcL5VOJYWX9GyEEN0+1ZwSKgp5xfwwui6PuZAt+/XpyrPCZkc1tCSsN3QtuXeTXda3tCdckotkTKk0nlO/tbfAax3OnDbN93iXETbO8AjeIzsNUBOm5laX+J5nI1NAXr3snF1XEm8N+/84Ox2/5Itq8I7R2W4N17Sc5CmF2TTdMHpqZAIKcEtRu81dWacJLUPPcD25gYzLqITQI/CM/HrhxvOPYzsOnrErlIlSJkNwQNHSPB8/OFsReuOj17Y5jsjntN8/PNe3VKno8v2HqVWBfTMVXeNxMTGFb/SdWJycWowDwi4FWgQp7XsNJuTPxzisMwiav987HoTN4jWNxVykWevbiWq5asMyqQcjwzT+vdz3fDUHCWztLSZnExcAz53dLewLPrHPufuOxJEkb7wjlfTBiBqfXe12+6WBG4qhzSlB7aWTiRPOSd0Fkode5OxqafJnept4rT9Jxv196o1UlCUfl3omEerrrowKvgdtA9FuEWKKKymJlxclHnAv4YEEgebG9MYduGCxtfux5/3zpCPxcsnADyXft9cplkSBe+G3tDptJUORV8dqGy3wrP7jWm4BMhjrBnDCgxMPJnCkbtfBSmQmOIOn8dgscYOF4S97fbRvnvJlEdAB7vVc3XvR0kVOC2ksGBbH9UHiXoAKSE8bL1l3Vtwgj0rQpi/iQSw9PBf6Fbd3BPyoFTSkCZebYAai9q0YqcPwWIbeMMRl404cogEaalLQMjAxJhnTDIXlM4wqjynDdb97GJQ+8If2Omc2DvvLN+4+7Eo3tPnIKP3r+Q/zxbzsBJOkGVCDz4fzg+Q8Dts75fhdeL6cbAIzwyCBse6oQxx1LTKosj1vObz+flfgc+ZzWHIS/KRohoYfmAbkmqD1eiGiP8wKl/tusf350DQDnaskjLxbx3e4GRWNArSlM8AOa0tTCpT6tb0JFcVz6Wz9NWawo4oV2XlALXbBWsP2LbeHJiPgmpduTcyYO9vx++vA+ePL/TZd+l6AUo+5ZjjkPvRPont/403qs3HHEKu0l4sUPDlpp+mIFHHHLzkO2U0zl/Yhd/thKd/vtw299GohtTxUtwm7plqmGU7QgFrWc3347Y2diVPLA4/8k71NpW3qCM9HLySSz37khQf1F0H03jMeoe5bjuEfIVYQQnDa3zvmxcAV2NjCN41JRWcxk2FbXiKoFy/CZB52sgn4atZfjVgQT+gROASL2mRhyx5MR8WaRsyp6p1xdBgDueXaT5/dlRXno00u+9U9Qo4p80BC4ID4J0fHoVgwWAP771imOY5MEfhMViJFDYlgjjyfX7M2InVq8pGwc/tRD0wcMcxrvjuIVuDKRRtUDE4aUKZ8bBLklqD2+C7IST/zJqzjruy96nlNamIfa+TXo49MJV44daLYtNwR1vwDlmkQ8d/uF1t/O2i9qyDfLSj1+mzOu10+jDmKGaOcyXvy2nmLI3YzRFdbfvBc+QtSyTd3wHS4dX4ajp9pcFytK3auehwXVQq2A3DfTIuEf8UNbuhlcHogHeB4esnE43YXwjWFASdyVbe/aX9cGuHtm3kdOCWovZ2KQlfixL0/FZ86p8DyHpXl7BXVsOXgyWZsxm3F1HBjvbSrow2UGJmhq3LmtHRQxQqR8Cm0+E93LzCQiwZk+/ML+xK8LOWHI007uOnzKt41eKPHZEcyfNdrV7s+Ehx/FamdB1vdBzIudAVUqUhG8oGYcHn7rybo9x1xDK//HJ4KMR7ZrJnYKUuwXB/68Zi/6ulSsFuElPIb3LbLWxwwqDoEQRNiJ+Oojq62/qU+Fci+s3HkE/2fyTvPwi6wY4kFdKiJpo3YvXsogalB85uKH+5PEQy3tCRyTJOoAahmj3336A8/vKaWuuwq20M+f5a2Vp4MgyoTszEwrI0EoBIDU25PgvNaqVe8pdfcfPfDyFuV7Z+oN5pagDuk6T67eiz+t2uN5DnuhXpmCR063pcwfnCl4Ran4YQOXTp6gqQ+qPUdP44UNBxzH/WowBnmFjExp26FGRxy3eJkBAsf03z45bP29o8FercRtMo4cWCw97nVf2fduu5TvPbPJM/U4DARhppPHwWd2jA8JQFsABPNp8GCbpvZEAnc8vk6ZQ8jtLNWSdUDm3mFuCeqQVOoIAS4Z4eSi4KEigI+dasPvzGymHJHTnmW3vLz8gF3Q3PzwuykPqlRD3rYEcAgzoX9W/14OmlOxCrnYhzyBkTjA3Zoexsij1H3n9dGBEyYpVOYQxKwiC/dLNxnLFwHHW6rNYePhaFMbVu08glWKPPButwvSjJ6hUYekUicoMKhMbfXOFQGsCpGQiEehR5FcEQ/NnZzSoIpGSMoTqLdijUYgKTTyY1FbTCvgn6rO26jF/Ydb072iFVRBKXV3JsJIqrhJsV5gKgjCPvkbSbZprpj30sWDr24FAJxsaQelcC1AIaIwhOxVbaMOgMrSOPYd8ysBRbn/dx14xWEH0pBTDM+75byhKUcuBImcYVmAHTThqLsoOgQPHrdrh0e5xYwnKop7FPT1zKhTRIL6m8gGhnCfMCAzDWZ8LgSe4Km16B+FAg+q61fMI3FKFT1Cow5awt0Nz95xISp9oiMoNeqjbQ+wHfdCLgTvBRG8T672tuG7Ycn7u3BKwrOtgiD2daZR159sQbOQRDCk3L5bEpMM/vXKpMNuBMdWRwhBuUs4ZjiT1N9Be9ClxqcqZFSyDGyR8EqpZ5Bxn/xRQlqUTaSq4f/BzNQMep2TqtWePdAzbNQhXWfqz1bYiHlkoDDKQsnI/VNBLmjmQdrwqlDOShVnVziFQElczeTSP0Bq7XefMSIseJpUBrdSS7LvxUSpvS7b4CDp165Q0KjTTWm/aIR7wgy7tF8WHiCP0NmtaCLoLKRqM79hUmqVjHIZOSOoR92z3LO8fRCI2V/lvZze4689utaTrjAoUg3ODxMqFJ7pYltdk+OYyMLmhiAVyf/1ypGu33X4CEP+e94+edrDEXvZyOCk+SJ+snQzbvyvv3mek7bC5SHoWeTm8dP+/TEsYARGNpBqpBUfktnZ6PY26tr5Na72w6AQbagxiUnFLyMxKKJhsv+kiDCcIX6Q2adVS3wFWcyKPLiy/TRqXhMTu8WNuyWel37R1S0HT0or3/CY4ZOI5QcVO7/Ka/YjmMoIAkoxv6rvbth8IBxzZip4e3tD2rU5ZcgZQV1REg/NRn1cCFOSxfc2toSbIZZOaGF4Ij7zi8UISYUS1TUqiI36qEtiCuBvpuAFtdj1bglDIZioQQG8ubXB8xyxgnpQqAwzleTLBpcivKoIkq6eKkLmQ+s0eFWASRU5I6gBf01JFd8SOBlEWkzAm7AmFaTjRAijJRGSueKhPJokldX9El2S56nf5y0PgefHUMYLalVulLC4XPxi2cUag0HR0u7vU5k63F9b/gVXWTsVPPO1C0NnlhQR1mgeWNq5kTayIsvpIqcE9eAAKcZeEAneV2aAWjFMhDHeEzQccnw/fFLvtFGfDskhy2NdAEpUEbxt0y/6hyGs0FC/FP/9krJmQbBZwf56w2RvOlYg/UV9TGWJb/WjdBGWvfekgs1eFSrjhC+YGxaU3zQhJEoIWUcIWRra3cXGhDRbxC12ulpMphGGck+I3f7aO0MsbbLiurkQ8cKD3/qrcqOElRV7oU9G7H6fyuB+kC2UIlSeJQwhqLqTShVh+X3CiuwCvEv3AcY85AvmhoUgS+I3AHiXYc4RNAjlgeKKRVzTQZiDIRVEYN++t6bBEhcUuRDxwoNfqFsVTAUA0OIRERIEcyYN8fw+P00tVEV4+QkTIH3umqoFy9AakCQ/6B39ontUEaafP+JzsbGDSjB32jCl4tqB7qtyEiFkCIBrAPw21Ls77xPKdZ5d7yximWl0RsSFFzqoXTiHbYNnOHDcqRGmQxSVCXzjT+utv1U16lc2Hwrl3n7CKx2aVUAttlhFmKc7OmaOHZDmFfwRlukjTMXfbxEsyo9ZVWXChKp0+SWA+XBSJ1gghNxGCFlNCFldX58ab0JYK99ft9rvz0q/ZxKnO8E+7IVeBVGbOywsm6sIWax2hqoPpYxzB5dYf6crGIPCz9mX7hhXqeHpp/UB6QtBseyXCrIVxFGWIgufDF6x+EDmHPq+gpoQci2AOkrpGq/zKKUPU0qrKaXV/fv3T6kxmRIuqUCWYuuFbIcS5UUjtiHS1cimwsShE3wF6c4V1H4adbobnSlD/f0tKqaPdAVKKlv7DXvTK+ycKvoE5MH2Qkmhd7x9NhNeLgQwmxCyE8CfAFxOCFmSkcbkiKSOkOBFKjNkaVCGODkrUtB4ugvqOB9FuvHCbnBbyB9511lQIUz8WYGjRcUMftHP30irHals7cPUbIPg0wZ/B6wqTvhEkGSNlIlSejeldAiltArAzQBep5TemonG5IaYBpZ+/eKslyUKukUW7fvDFYh5wkJnJD8EAR/9orrTGd4v2PtyC4XcGwZniAeGlBf67jxVfD3pOptTyb475lFIOpfB08f6aec9gpQpU7aPoEJvTGUJFs7xrlqc7j38cMlId/ORPNHAPkA6c3NSmB/NKWHNx9GrOpImK5gUeGTLecy61SvZRKXrrxyTnjPQL/uusswZmqZKNRA20p0K/BDyMyut230szbvJEWi0UUrfpJRem5GWIHxhx5CK4yMowg4p3eNCYBQBsGDWaMdxcYv/3qedl+TTkaAZT34IAp4zRrVbnlnnzbYoIlvO44bGFsydNgzfveoc13NUNOp0q6H7EZrJhPKZ3C6vvKjzzCDpTk0+0uaUJDOXx5jKEs/vU0XuzC5kzvRx6GS4MY2dAbfEhlgsgmF9/bfp/RVTp8NAIkERy7Y3lUOTR3EFN1x97qAMtCR8nG5LYMl7u3DvcveUBpWeOOLBpaICvx2UH2d5VUBTU67AL18iliGFJacEda44EzPBfhUWCNTMGp3J5tfU2hGoXl+mkYoGVRgwKSpIRfUwESHA9RMr8W+fm+B6jsr4uPez56bVDj9ne7EPR/mplvasORcziR5ho16z+2i2mwAgM+xXYYEQtQVNNdEjDORFSOBwxlyDinDjnUq8qaczBU6CAsUFMU+n1gkFp12mwzc/8qEavan6DAwsDS/FOh3wSs3UqvToJro9HzUATBhclpHrBvVzMfarbMJNI25uS+C2R1Y7josajJut7PoJ4W/xE1CL3e3quO3SM62/+e453snRDPWNLZ6L9fMb/DNz73hsbVpt8FuYZYV2eSEWxu65OCTn5LncXClJc9HNWsJLZ6IgZK2MjZW8aAS3TlcPt2PsV9mEGxdDlAA/uHaM4/jAErt24uZQusCjlFOq6Ei4V9/uKlChOf3PNz6x/uYFTboRL0Gqh9eM7I/F86o9He8qFdU3ppl84mf68CNsagqhGlFbSNQF623vQq0vyl0Eeo/QqMNWypiDqKwoXzncriAWsdivsgnXOG4in4iqNuloGAz5EgwoyY1tbKpQGXvjh5Raf/OCWiy+GwTD+/XCtzzKjonIN5UZr8gOFeKntOWJzwXOHVzq+f1ft6VGM8EjLFpfnlRMVQa5xaH3CEEdtjOx1Fz1zj/Tm3qSxzNfuzAj7FdB4bawdCSA1z92VgkRJ66b3A6ivQVBV9eoVRCPJR2OYtHcVLHrcBPuf2mL8vnsNXt1Y2ekzftxXstKjn2wL6m5rt55FB8fzF7JLIaCWAQt3Pt6VZGcyy36I2uZiZ2JsDVqS3gEuC5Ldgmb/Soo3GzkUSLXmMRDbo+cqWiQXIr6SAUqY48v36ZCjqSCmeMGYryP9smDCQKvfuyMJfOptftsn8X2yExJfOw0gXr1+kzima9diM9P8aam5eGn6PSIqI+wyiExsED1zgj7GyzJxEoHs11s5ITINSbxGd22xpnSqFUrkecq/rzKn0NjLufnCMuf8vKmg9i477jveazfLN3DY0xPGVrme73SFIRk74KYpcmLzkSRfvUXr211/P4ot5hTuI+ZzvRLj6kswQ9nj7U++yUC+dnet2Rol5BbgjrkDmKJD50RUjyiwlmXMR0878KpTUHwGUn6r0NQu1w3F6qlZwMDir2zU68d7+88/t4zmxzHKorzMV2oURjEt1hamKckNJO9xpQPj2sqZP1FuS1YL8UsxbwoAUXSj8Nj5IDeNl6V0QOd84FPe48Qd6VBVZkIshNxQ9WCZZj0k1etz34aMWuZWx+fmaFEnhwT1OEKkQ/3G5pKJjRqcSyJHNiZQkeC4p8uOdNxXBTAKyR2bAC4Pc2wrK6KPB/pKUt4EQXGhCFl1t9s9zdyQImjJmcQ3+LRU22WFuc1TNtMTS5po3Y/mTG8lRbmoWaUnDOGF0gJSjFWIfW5rYNi7rRhlh+HR340YmOQlEXClMSTC0iCumunz95+oW9bAKA8BPrS6ydW4vVvXWZ99gvPW3TLRADufdwjMhP9xGlQcbvzsMGX8YQCNWRQXCqQJqlWu1bFDZPkzppeBVGpNiUeG1Ai1yD//Sb3jDYZRg4IxxabbfgJIhl9KHulRLLd5+XkeS5Vv1XH6wHGn61g3nxji7EAe+2MNuw9BsBI0/6pi1Oav1W/4gLHeJahqaUdC+eMk5KWnW7rwDmcFi1L4+cjJXoVRF2ZDVW5efJDIAIrLojZEm+m+NRXZXUQ3V5/j4ij9tvxpPoKrp/oX5U5KHrH7Stv2BaFJhfylygh0p2HWHk9Fo1INbR+AQmq5rgsGF0NonNY7K+hfZwp4eyNsi32Sc6m2s4JnV98fqL1t6hJqsRYM5PABT6FcQFDEx11z3JP7fsnnM3VbZea4LTZPUdO4z/f/ER6Ho/h/Ypcv2tu68AkzjY+Z5LTlHRGefL3p1o6rMXGYepQnEvp1p8EWPIQf2v7zcWIMWtnRuXN7BHheW6Dimmrqabq9iqIYtQ9y1NulwwdQrA9S9l202SDYvG8amsyipSRsre0/7idB7mtPYGbzzvDcd7c374fqB3dJeOQ52/5fPUQzBo70Pa9jP2vlxlL39u0Ic87P7nd56vI8K/oma9daEUzXDt+EJ75mv82ni2y72w/7HtuRXEBau+q8TR9MLMXgbvNlT86uKwQI5VKfLmLi33HmrHWh+LzowMnbPdndT3FNl50v1pRAy+qV1UY84yPibfvBMQYd7Y4JABrYeqdAltjUOSUoHbTSqtMtrjKsmBEOIxBLkIIaufXKP1GlZBJzKw6q78x0FUrcqs49VjcbnEBF9ZEiHSS8oIDMKqcPC2EUAHARQEzE1Wdjxec1TfjhR/SyQDk+Vu+d/UYdFCKz5yTdMo2S2rhsUdn5bXufvoD67vDTQb73DufNFhaWEEsgjGVJVYY2q3Th/nSXl46sj8uGWn0ycCSAt/3HY0QVBTHPQX1ax8ZgnrDnmNKGl4kIjcj9BVswAmfiAc+LlqmdFX1tWvk7IwfX283ozyvaKMOw/QhYvuhRttnsf4kv6AzezQzhwA9JDzPbc/DnA5Bk+r6mtt8AqBCMXNOlZBpe529Q1lp+2OmI8dPqPgNeiApKPKFzCkV5+iA4gK88e3LHMd7BwzLUhXUpYV5GY/fTSepxsafTAxN6ksXDbcOnX+WcwFjwmavyQ3et1e+1SesC6qHlTv66YgZhrbkvV2+7aosi+Pm84YCMISA2zMyLb21I4FR9yzHzF++5XpNpvWNqSxxF9TCcVa09ZKzk+/hB9fZqQr83r/fWCHc97EIsZpQJkSp9OMidNhPBpU6d6phcKCPume5LWdhl8ADL841/r2v3GE4kXdwpb56hEbtJn/2m+WNgm7D2QofJJqEETL5mUr2HbNr3uvNbR8j6PHjQjivSu6A4sEGfltHUtsjUAtjLMiLoEISkqbCrMZDNVTq2Kk232y1dPHOXZen/Ft+lywKWzccMbVm5uw73NRqFYhgMotfRE82t6NqwTLLlv3CxgO+5F6EEOuarR0J3FztNFcZ9zF2V2MGlaB2fg0uH+3M/GPtYXH2XoKfP0pArPDE0qKkFi0KKS/dIhYhjlhqxz25r+++arS18xDtwvynC80FtH+xU9FqD4Hro3Z+DWZPrLTGhGhNEYf/jNEVlhLGTC+2nUJPsFG7yQRWrDQokcw4c9sZJDyPETLV3uVtKhHbOnKgYfoQO9ENaxUoXZmgZtErDLLHKRLCy1raE9IFavXOYFSybk5NEd+/dgwe5JxqmcDFD6RekJX3tbL3wr8dGdF9H1OQsD6NkKSfhI/yaeMEVFXfIut8FXKvKCHWbqy6qo/DDGCdx83Uix94Q0ojAABLvjTNFmfvJjdEAc6GCv9OnILaXQp95aLhOGeQdy4BL8jPrOhtmTIdvkTuvn3N9/yPF1Q5rvdBCFXNK0riKC6IWfHhIjuw+A6iEYLWjgQKYhHLt8CHfvYMjdrHysmT4qiAaTuqcjqfI2SqkKzgPETlIUKMe7W22zvRDf/6mbN928MyuXjymaOn2nDNorcd554SbKzVVX2kC98T/2+67315/Hy5Gg9FZ/gcVf0MIq45dxDO4Ij+k2F3yUbzji4GlhTC+pQCOMOMDhnax9Ci/vbJYVz489et3+w8fMraTamQe7W0dVh2zSghrgs8201SarwHtwo+51QWW3H2hHg4E4XDsrknjh8vy8ewfr18/R+8oOcjNkSF4jDHs8PMG7L5tNmH81oFVQuW4fGVu634cNGOLgrqjfuOWedWm9zV/LvrETbq1g7vMjdBbVKNpsNPNXQuQakyIZObo+Vq09N//lneoVZieJ+IUfcsl1IpEgA/v8FZneNMoeq4YSJxPvig0sxUJukMQa3qZxDx0NzJqOXMJpb2yLWZtzMysHEzZ9JgK8mDad7s3U4ZWo5ruDJeEWJo1Uu+MlVpLG3Ye8wSYBHibqbjj1eUxHGlELXCcLix1SZy3U3ULho1H6oWQKNWcfTyfhnR78Lj4bc+tf5mDjsZW12qUR/8766fWIn3vjvDig+fJBQ5nvOQXSk6eLwFS97bhc/+5zuWuYhvf4/QqLfXyesElhUaWklQVrAbJhtkK0s3HlCK5lj69YuUCZlE4d9qhvXMMz39n/MhevFbeGvvqkFcktpLiDwoP+Zgz3Ob8N73FaG6yMnuN7xfr6xVnvZCRGL6kIFF0nx75igrycOanOY5+bEIyoryQAgsrfuiEf1w0Yj+SmNpy6FGfPPPG2ztkrbZCt81Bk5DYwsmSzg9/vuvn1h9vH73Mcz4j7/6PKV5fanpw36Ot6C2j1XZo/CZiHlcnL9YxODJNclCwx3mnJfNfZUqRqwZ/DrCa+fi7lnUiP/4pam2zwWxpGlUpj136zhq5nndLam8PWVYOVgfMaeiCmIRYg2sA8eblaI5glQrrxeqfu8w7ciPmp5+P4Eo62Rey+BDsCo5j3eCAp/5hdPjv1WIQnlne4N0cQrqkFWtri676sQzynIis9HNMSy+ClEweVUx4X/LKoOnQpEbjRBMOqPMuL/Hqsj6jfnPFs+rxkyJVv2nVXtw43+9CwAYO7jEldzLYfqQjAtx4fDSkwpiEds1ZKYUfizxWu19Qv1GPsSVEVb97u0d7jf3grmA8m3n0+rFvhKHu+jEbOVMo+xc/rm7dWYi87zKdjJrdh3FSdOEIQpHL7QnKB7geH79ytsDwaJD3CYx8/R/58mNnr+Xdefv/sGufTFn4kJuIPcpynf1+PM43NQqXZyC8p5czIVrlRfl2bb5PGTvzi8KoLMgOoaTTU22OcpFXzDIiOllT7R4XrUttdpNixaJiwDjHfHOSjcwIe4nCOJ5EavP8qMRVxs5L6jdhoQYDutlfz3V2u5rn3WzUfcR7O18IQYWubXnqLqSxoMtoOdxtRD/nnNMin0lPoLYJ9dPrLSEu4xFuVtr1MzzKtvJjBtcohxJwSM/SmzODZXiq0FEWIvpYGJgbWOe/h9e5yyXxUPWoaMG2pMj2KRs5FKXIxFiy4RikIXRyRYnL61NhrnThlp/f3vmKDw0d7L0PNlk76A0dKItVfB3FR3DTNvjm/bu3ZdjYGmBNIzPJoDMv1Oh5H3lm5daEQJspzGmstii+/Q0fXDORC+0tCcsgilCCBqEFGkGdxs1pxUHsFG/sGE/TnERQrJoIf73/Djk3+Wdl4+QpvOLyFeUBXfOGIExlSVWtScgGHf60VN25fBbV46yhDt7Gn5B69aCGjC2j2f1d1IExmNRRziMCiiAYX2LLNuhX1wzEMx+y1ZqhnZTM2Kefj4eVYafLN3se//j5oDii5USkowG4YWzH08uQ1BOElUNXHbe6Zb2ULMVVbNGAeDcwe4ZgbJHqiiJY8boAeBHCVuID8tMGZYQV24SACBmzmoWR3/ZyAp8wVwMn1i9xzXu2lo0fK4/d9owHOOEy+J51VInPO/Yo5RbvLhzvvj7VbbfHD3VZpmRRHPSqx/V4dH3k8RW72xrcNzzBCcg+Tby/XHOoBJMG253xMvG7LO3X4Qh5f4Cffq9KwDYzS7PrXdm7DKI7/f/3t1l+2xzHKaxaAdFzgjqxfOqMV1SMquptd0SirLyPm7o6KAO26EfgrxwttVlEG2UsivxgnWcJLWY/03VgmWWpsVSggFjgv1sjjPqY6CEY0QmkILyUccUNZeZv3jLIWRe31KPNQrx4oDaAuLnZyjKj+ISkwWOevSlmzORjRcGljr+h7/ttI5Zdkn/5koRtUwYybawCT9n0mDMnlgp3TlaC6GPyWLhnHGYP2u07Zh8tyNe33nO9DOdSVnP3H4BAP9QyXV7jjmO8YvgH7l3KmruLNEIAM6u6I0EdUaVjKksURLUCWrMJV4x8ir+u2yjnQf+ORdeeB4RifAOGzkjqAF5+N0Xpg2zhOKXLhyufK0EgJc/PIQnV++R0jJKEWD2idmLvI3yzS31+Prj6xy/4bVeWTgTr5XOHDvAEuz8uada262Jx1ejqK7q42i+bMyM+cHLns/l1SavMehmO/X6zaShZTijvBBnlBfiia+e79sWPz/DqdYO1Jq84Dd5RN2wJxIFBLM1MzBh9sy6/Y7+TtWiYwlq89oRkrTl9y6IobggZu3OeFimDwVnlXiGnwKy+8gpPPCyM17eMqFwxx57z+gDv1BJv9fz/IYD2LTvhONcQoBf3TLJ+nxm/164dfowKbnV96+Vmxd5wRnPi2Dm2AE2p7aXGbRG8P+I/cCPmWSpv+Sx+saWQDs/VeSUoJbZWRub1exJMsVPJcOQR5DJN3PsANdr186vwcyxziosM7hBIGMam/TTZKWJT+ubrIw13mxzui1hZejxE/L4qTZM5sL2BpfFcaWkDVdKqsN4gdfAvUTEE189X6rheDEe7qhvwlNfuwC1d12O0YP8iev9YnWjBBhstuHlzQddz5Nl4UmvZz57nAvJYv6C1hQrjyffp7lt5pyYEdOmLJrV+N8FUdhUh3Ov/CjuqBnh+BHb0fG3dKNYEBNF/JoZIUn+ElEZ4NvNO2pFyBS7G6cMtpgRI8SYO/17F6Ao37hXNEI8zaCMCI3AGG9i/Laf47CtgyrzBQVBbglqyYu3bVM8Rl4HdW7fVDIMeYz/0SvKdKif1je5XruiJI5+vQscgv9bV46y/v765SM8r7+trhGUGvGf4iSwsuy4gXLvDefaHCazxg2ShhsGLXCgag5y47n2cgAfO91mDWrxrEKJ1iNLeuDRQYG9ZnSAF2WolULu82gJSo1s1Y5kSNYqs5rLvhSjEJgywmKAI4RwCS/EVTB9Wm+EX/KyQbVv/J6TEKDYFJr8NdkY7d8734rScKNYGNqnCGeUF+KacwfhmnMHobTQO34+QZPzXWyfqsIkM+N95aIz0UEpbp0+DEu/frFlimRsl5+dVGkzb4naL9uxTBlWjme+dqGjgIcsuWWDYOZR5QsKAl9BTQg5gxDyBiFkMyHkQ0LIN0K7uwDZpF6544j10F4D88Ypgx1OCBZGIzJkueGacwcpa+Db6ho9r/n4yt2OFffqRbXW370kYVND+xTaiodeP7ESf7t7hiO+nIUqneSoVkXtIhY1tDMRQWLRAcHT76HORSIEYytLcEZ5IaaajrKCWMQ3KYEN6sncbgIwhOmt04fhTJOsPhYJZhdWyZTzE3Rzpw3Ds6bf4bGVRjs37Te264dM/pl3Pz2c0lb3pLlTjJDkO37xg/2u12oyMyL9bKCptIUPo5QJyVg0grZEwnKWL92wH1N/tsJ2zlvbGlB3sgUPzZ2M1z46hOOnvTliKkvjVvGFVO39eRI6zd/WfioNl2ScKxXFcZt5S9R+2eu9ZvwgjKkswd1Xn2P73p4ubvwrLkpRAszy2HGnAhWNuh3AtyilYwBMB3A7IcQ79ixFxCQvngksCuCW/3nP9bd3zRqNx2+z81iwMBorTltYgYcLmmrvABo46ww3vHf3DEeywYVcWjkTsmM4IpuOBLUVD2Va3CVn90NV3yIrJIk9Bm+jFp8tFiHSeN4h5UWOY15QpRYlMN537V2X484ZBo/JlGHlGDnAm6iH9e+r37zUdvyM8iIsnDMOX7zI4K1oTwBzAlTqCSPKh5/srD+ZZsmb6YJsdZmA3mxyi0QiSdPHwRMtvtdau/uYp6Ym+72fcK8okfNbs1+1diRszvKLz+6H2RMrbYkpvGBSGTKHm1oxrK8zyosQ5wIqU7SqFizDFQ/+1fH7p9buk2qz7B0vfutT27VE7VesSekV9cS0b1FJ6qDGDjPIbt4PvoKaUnqAUrrW/PskgI8AZITPUowwiJIksc3bprDlv7uMyzDyGuAsTjtB7U6akQOKcev0YZZ9+3CTekYZ6wy/e/L9vJfbLr9thi9dfHbyGc4ZVCLNcPvDl6bhwhH90GY6mWSRB+JuRLboAWqJPzz+kQvR8pp//IBmt/YT8rYFSYhaiUUJRt2zHN9/Nln5++l1ybAqLxl72aj+uHFKuEOU9WebmRrIO4ZVt7pVC5ah0awluOeIMRb+7eUt+Pnyjz2vxS8KZUV5nprakvd346b/ftd2TCnV2uOFjqsstS1af/jSNBQXxNDCmaKK43mWYHr7rhqHuY7HoNK4/Rl8TB9M0RI5Op41I1B48P4EHmws/uP5wzB7YqWD4dBaZIQq705mv+TfbHizsGGWEHZGeWGg7FQVBLJRE0KqAEwC4KjnRAi5jRCymhCyur4+tYrcD7661fa5gxov47GVu62Jwn/3Jme/ZgPcDTInzX/Pm4KFc8ZZNstf3yJP5uDRv3e+cmeI5g+elHy9adf6LZcau+iWSa4Zbnz7P2fyPvPTT7Tvi45ZpglGiP9Wk58Q010Kt4rgBzAT2n50wV4p17FoBLXza3Dt+EFJpx5nt5aRUBlpzMCQskL8x00TldodBKwPlnx5Gqr6FjnMVH5bXV5AsGf64oVVmDV2gOe1Oii1+iRKiCUQZcI1nhexEr3W7D6KqgXLlGLsifCvH8RQRj6krqIk7nnPGaMrUFEcV7ZFs7nPX7O4IIYBksgT3p/Ag8WNFxfmobggZuVmiGyZyUAOYvuXQdbkEWYZsxEVvS0CMBW+oCBQFtSEkN4AngLwL5RSByckpfRhSmk1pbS6f3//isYy3Ck42Nigfe+7MwDAZnO9bvwgDOQ4MPy4f2VOGkcnKAyc+sZWLPvgAOpOtvh2Btsux7kUYTYhmSDlM/+8bKZ8++++2ml5ikWIbYsbFTTsNnNgJqgh4L3iqXkNzMZj4DHf+auxa3dQilW7jrj+hl+QxHefHyWoKImjtDDP2gnx5oy4wL/NnD9BuDaChtixPrjo7H64cEQ/qZnKC7yAYHbh4ngMfXsXeF5r7rRhuP/G8QDsRXV5TZyhuS2Bd7Ybu7Xxg0uN8eeTlUug7mBlEEMZf/2FSbbvx1aW4Nbpw6yKMWyhKYnHfPtH1gZxYahvbJHuGm+aPER6fbfIGnG88PHtgGSe2DRqFrnj+TihQElQE0LyYAjpRymlT2eqMX046lDZoOUF40+uH4cZowfYMg/9uH+DwGsbqxr2xzSBFk5IsuB9ph3wTkXVDk+mNiePiRq06Ghh9Kssbnn2ePdFjTcbbD2U5Pz96dLNrrsWXqCzQf7xwRMYa4bd+aX/i4sUm4RuSUtidQ/m/FFlP5TdMwhSIWLad+y09RsWtvjOtgbfay2cMw5nmjU5h/VL7iRurznLdl5+jKCqbxEmmiRP+TGD60OkOxBB4ZJwFCAUUBSaTJCzyjSMPrRfcYGjf1T6QVwYFs+rliZj3X31OdL+Z76B063tntwsfHw7/6+srUmuj8xLal/JRowZ+L8APqKUPpjJxjCu32F9i/Bfc6fgsZW7Ue/ixSYkOVm+MHUorvv12w77a9WCZSiIRbBl4VVK9+cFZe38Gky91+7ZJub/goT98W386iOrARiD7O6nN2LD3uN4lre7KvY3E4p88oO48p8WKpZ8/fIRGD2wxOJlvu7XtXDDU2uSbTrMbWm/cvFw7D/ejBc3HnBsbe2mD+PfppYOqzqPX/q/+Owf7j+OupPNtkm0cM44qw7hweP2ccHzoYioO9ks7S+/9+32OwCOdqlgSFkhnly9x1ZLcY0ZT18Qi2DhnHHSa9WdbJaKgmKO0zxKjJ3QRSP6YfbEwfj8YsNOzY8/PurIAY+XoTIu3Uq2MQHJFmrZrswRnqcg+OpONqNEwunu1tZVZmWjdz/1q/Ru15JFZ6KUe7oTNGoVFfRCAPMAfEAIWW8e+y6l9MWwG/PmFiNVOgLim01IYI9qePfuy7HwxY/wPJfyef3ESnzvmnNkP7eBbWEaTrZaCROyzKuRA4px3vA+rouHDHwbefL6K84ZgA17j+MAJ3DUeTVYu5PHRC2sdns97rwiWUWGDf5R9yz3jYiYPbHSeo8EyQG5etdRjBpQbJAtwa5wsbaL12eC2v+Z7M9+orkdi17bZmMO5CGGfz346lZ8fYa8ao7bdfxet9f9VSC+C6ZIRIih7Ta3JczMuYGe43TRa9twk1lLkfW5eG22Dj62cjeum5DcLS2eV41R9yz3LLS76/Ap/Pj5DwEIGmMAldqN7GtHvcExzxzpKoyKKtNg0WvbpGXLZBEj/Htav+e4kgLHlCFxXMqiVT/a76wOFDZ8BTWl9G1keM0QX+aOw02BtWE+yoK9wBjnePECGzsPvbEN994w3vH9jZMH46m1+0BBlbUnL7gJy3E/fFnpeWWMdOffu8LG37Bq51GpmaJ2fg0WvvgRXvrgAFpdtFx+sePPWL3zKFbvPIoIAQaVx7HvaHKRYS1i139500G0tCfMOGH5LnrUPcut55UNsCXv78aS93db23avBYYiuYMSz2XXEeE3qfn7q45DHuK7YEI5GiF4Zt0+V5u0WzsA4JP6RtSdbEbt/Br8ZOlmLN14AIChUV87wVBMPjWFI3s+Ff4JK5JI0hGpTH7xGXaZfO0yznnx+rL7eb0Trx+zPnjlw4NKC6MzPE/8Pvku2ULG5zNkCjmRmSiG30SIgh3YzeEwNemcW7nT3ZEFJOMz2at/bOUeaZhVXzMM78bJ3lVbVFE7v8ZGXs7w9D87w41kYINHplExRM13yMAmYDLMjLpSRYp0nwy8c1es6MEGNrt+K2eXB4ALzurr6DK+f90iGNg4YGMk36Ucm+xc8TsRbmFgcZfQraAQ3wUTyk0t7Z42afFZ43kRXGqSTZ1q7cCi17bh4gfesIQ0YPT/c+v34+L733C04+27Lscwj3C5WASYP9PImg3LMWa9yzw7RfFAbqcqvxWRKiLseuwblcLBAOcnapdHeYhIOhPZv/a2sISiUfcsxy+FkOBVO4+Gmo3IIycEtRV+Y0qbBPW3A8sG1Jtb6m2r7J6jpz3jW8UFwm9iBvCteKKiJI7KskLLEcrw+Eq1GGee/c2N3Y5NXIajnK2Z2S0f+fI06W8Z3afogOIHuXjXBi4GnXeODSg2FrnCvKhjZrL+HXXPcgy/22lJa25L3o+PYxa1HMbpIJ7r52gWn0F0/qpGc3hB5ij0KzTAP2uBaSL561Z7KCpbpNm7iEaIa3xyRUnc0+TQnjDiuQE7U2M6EAUkm9t+C8Hx03JuHys8169PPSJGVBy/TGO25phwvd/WGuG0tfNrbEU1AKBPL+8Y93SQMwXtGhpbcOmo/nhzSz0Gl8VTChhn2xy2dffb5vDxmV4TMxN2n4bGFkRAUtpq84yXHVzb47GIVR0jSoznYzbwJe/twjSTRpYJBsZ3zZuLWNt4ByhLWZ87bZhln3cwz/31EzzwuQm26wPAmf1749DJFry+pc7hSGKmCtZvSzfstzTwy0b1R9/e+bZxwLdr3u/ex+HGVpxXVY4fzx7ncDzz57o5pb0mtdfvgiAVp6PYjt++/Sn+9kkDjjS2obVDbkJp7UhY8cnM9MFjbGUJLhtVgafW7MFpoXJNlADfnjkSP1++BfWKPgURMscr/wz3Ld+M2m2HpQsGP5aWbdzvynzoFzwAANULX8NWYe4E6QPeBCQzUT67fj+eXb8fBbEIPjdlCAgxHKltHdQW4x42ckZQL55XjTe21OHNLfUYUVHsG2IlE568JpUfVdOIVCZmWJo0j8XzqlF3ojmQ/YyBt62e3b83fnnzJDy2cjfe3FKHfcdOW8/OOypf2HgAL2wU7P7c9q6Dk6KiA5TZuvlB/olQo/GJ1XvxxOq9rovMb26ZhJc3H8LyDw5YcdrM2VtRbPQbL8iHlBU6HHl8u4b1KcLhxlbMnlApdTzLJqcK30uqgjVs8O148PMT8b1nPsBjK3fbFIp6l7ErM0m/uaXe1cbfQYGfL3fSnH71kTXK7ZU5XvlnmDttGGq3HZbW4GQRKoDBGXLmd+VxCrLgAX48AcAr/3KJcptl4G3UtfNrcM9zm/DKh4es76ME+MyYAfjJnHH4/rObMHfaMIwfUor5f9molAGaKnJGUAPJEB81z7Bczw2qEQWZmGFr1kHtZ4Bzld9a14irF9WiIBbBZaP647JRFTYt7OBxQ0MqiEUwa5x9EVCl+5RhWN8i7DycdAy5LTLsHmVF+dLsMvasDY0tuHLsALz84SH07ZXvu6OybIdpGVU7Ia4qJMjGtd/Y5Z+O7Vp4wTZ+cCk27juOeIxg5IASq5Asw/03jse/PrFBOteCOl5ZnLXMsXnRiH5420zSYePIj7BfthsGgP7F6gWqvUDMHanIQMnzeLD3v3KH4Qs7O4OFnHNKULNYYDGZIQgyqRFlYr0MurDUzq/BwmUf4YUN+0FhF5C8gGda2KPm9rBVklrLpp8h9II9nZiy7mo24kIJrRRsM1SMF8aL51Vj7e6jePnDQxjSp8h3R+VWpSUIOiOjLCykO65ladiM22ZQWZFFLBQlSce0LE6ZwS2ixW03yDJlZfwvPLmYaHv2imVXjhEPAD4z0S0667GVu9MK20wFOSWo2aqrUhuxC80xTwSdgBUlcYM7mAAFPuYdPuX+5uoz3LXUEF7mzed5XN8Ee1YmqJ0ZagEQgkLdXcaQKkTumX3HDKVgZ0MT8iqMt/HZyYPxFy7hCfA2M7pxZohgmbK2zbLZeXz9RN4PAnjHsssW83QX36Qz0enzku1KOws5EfXBwCIYVAu1dhZU+j4T5XfcoOrF5gfyNz8z0ikYXbRSlWcRf/Oj2WPDI6JRiPtl0Q7ppO9mq0J6psHiezfvP2HrSzdGRQrgGpNSoLK00HbcC0GiKU6YGYqy3fJdVyVrPD65eg9e5mzCQUn4w0rnJoQ4iODCiAJKFbklqAPZqDPdmiRUlo1MlN9xg194lwyLVjjbZzd9cOem8Cx+E0Qlyy2I4FTN4vS8X9pXyG2cbGm39aUb/egZfQrR0m5QDuRLOEHcXnWQccioElravM2aLGTWjYbUD+kOC9a+kyYlQUNji1VtKNVotDCQU6aPpI1axfTR+dOMv2PYWWxhQ6V97C2fbrPzgqTyLG4TxKufvOyPfmCC+n/e+gRXjKlI6TrdUaH263c2t/KixHIqxiIRqwakmMgEBKvT6Nee9gS1wjKTdTKTHRHUpBI2dh8xQht/unQzvvvMB7bamPuONWPfsWZbRi2Pjw6cSGtMeyHHNGpmo07dmZgJnGp1FvkMmizT2Uhmt7m3jzl2RHmVyrOkouG6ae4qcoHdbufhUynvZrKx2GcaVr+7aKSMfvS52y/C9RwnCBOmBRwlKks+WbPraMqmPVFDBpxZx+LQSYWZMF2wLOWDJ4x7HT/dhlaTAoFlV/rNi8aWjoztrHNKo2Y26lwzfazdddRxTDVZJlvgU8Xd2sc0Jf5tp/osft1Bqb+2R7hzvcBfh0qu05Nh9buLRsqbJ75xxdl4boPhKGPJTy3c7uoF8ztWhDiVSAdLQ+b63W9spRPhkqpcqJ1fg+n3rXDEeSeokSEblJcl7LGYUxp11HzL+46d7lTnnAixRtvmAwYnM0uzZcjGyh8EXu0bdc9yTPjxK47fJChVehbVytEidazXLiSZcektqWvn16A/V0091d1MdzR9AKmNyw/MGOqfvZgsRiCmradaWbuhsQXXTRgEwFjQWXsy8fpT3SVVlMQdNTlZWv6NUwb78rJkemedUxo1s1G3tCfSpphMByws54X1+61qKB0Jin++zE7UnitZbG7wap/ForfpoE3beWfB5Snae/0niN8uRHWSVZTErbESi5DAO4BM2RFzBUHH5Y4GZ8o5AIv5EPCnY/Brz46GJjy/4QBA5GF1YSGdxbeptR1nV/TG9rpGRIixs58xusKSQ7J32Vk765wR1EG3EJnUhmwEMNFk1lPvECvIZBuyLTIAzwHGC7iOgOmy7OywuDTY4vLtmSOx92hzoOswJaC7atSqYH3SKz+KDkrR3JawEl7yY7yDMX0BxCK60nFMZhqL51Xjq4+sxrQz+wYan2Hzw8iQM5Kndn4NfvzCZiz7wKBu9FvBM+0I4l/+t59cb5k/uhOCZnbxu5wGjo3PC1Y1GnOGqmh7KpN55MBivPfpEVT17YX/d+kIz3PdlAA3ytSehgghONXWYQnkkRUGfwxfkShdASRjeWwzgwaOnlIbSypIVyqkskvujJ11zgjqipI4yoryAhEqZRL8y7/47P7dUlD7bUGVydoB15ClIAii4bItuVsSBw838vivXDQc1/3mnRRb233QYfoleI1wTGWJrSJRugJI1k+snNoTq/akdW0eDY2tGFja/cxaOSOogWBbiJ6+bc0UePOGSOTDE9j/dWs9mrnkBTfnCUukOHZKzjMsg9L22DxHrLYugxv5Vb+QCHy6KtibG1AStwRxxjRCjkRcVAD4TMR08evXt+FnWfJtZRI5Jahz1TmXw2a10MGbN2SOkv69C0ABm9AD3G3bu02GvefW78OcSYOl54hQed8sBtytqKoImRLQHeOog6AzxzVv+kiWgzto8Ws3+2QsukEU+o++vxuPdsNQzZwS1EHQs6dYePBz4rrtcvxs2+J139hS71sHM5jpI5lVpwKZEnDoRPZCQHMJB8xw2EyaGfl+EivY+BVb9gIT+ss27EcHTS86JZfRdQV1J9o+uvOiINNu+IGe6i4naFHRoGDaoFspMg11NHdCOKzYT6IC4FUl3QtM6CdgRKpk27eVKXRZQa0RDmTaTRgDPZWiCAwqVbOZMzGqaPqQgf9ld4+tFtHZXDW8iapOUvQgVUENdE54XLbRZeOTwtCjspn9mEvIVIZl0OsGsRkzYR5NZ2fF/bQz2Q9zAbXza3Dt+EHW50xz1fA74LDfdSpskl0NXVajDsPykc3sx1xCppy4mXQOW4RSKY6DXGc/zDQqSuIoLeyccNie/q7DQJfVqFOByOGRDn+BRvjgy3b5gZ2TauRG7fwazBo7wPqca+yHnYHO4qphfBjM/NET33W66MIadfAJyhxcSzfsR6Ibe4izgTBsvKkkvKSqUVeUxNErR6p3ZAudFQ7L/BUdNDeZJrsCepRGzQYMRTj8BRpJdLaNN1nbLnUb2JEmoVZfjrEfdifkOtNkrqPLatSpoid4iDsDmbQ77j7S5Kuht5n3PnY6dZ6IBz8/EZN++iqA3Eqw6o5Q1d57WvSNKrqsRp1qxEZP8BB3BpjdMZ5ibTsZmL35dFvCV0NnGtljLtwjGl0TPS36RhVdVqPWERvZhRUnHVJtO1UNXTxv6cYDWLrRO+PRDZovJvvQESFqUNKoCSGzCCFbCCHbCSELMt0oGXTERu4hTLtj7fwazJ5QaSWwuGnoliavWMfOC0yDV+UL0QgfrD9ZD+iIEDl8NWpCSBTAQwA+A2AvgFWEkOcppZsz3TgeVkrypoNobg8/JVkjOMKMGqgoiaM4HkPCJzIgnYxHB0zpkKBU20azBFmRDu3gd0JFo54KYDul9FNKaSuAPwG4PrPNciLsrXYqyOXqFN0Bqhp6WJp8wozxS1BtG80mdESIP4gfrwIh5HMAZlFKv2J+ngdgGqX0DuG82wDcBgBDhw6dsmtX6rn7bvjqI6vRvzhui9joDGfgfS9+hMVvfYq7Zo121E3U6JoQbaMM2jaqkS0QQtZQSqUCLTRnIqX0YQAPA0B1dXVGdM9s81Vr51P3QZI18ABazaII2pSmkatQMX3sA3AG93mIeUxDo8siyRqos+U0ch8qGvUqAGcTQobDENA3A/hCRlulodEJ0MlPGl0FvoKaUtpOCLkDwMsAogB+Ryn9MOMty0FoZ2L3QrZNaRoaqlCyUVNKXwTwYobbkrvQtmkNDY0sosumkHcqtCatoaGRRWhBHQA66kNDQyMb0II6ALSNWkNDIxvQgloFWpPW0NDIIrSg1tDQ0MhxaEGtAm3y0NDQyCK0oNbQ0NDIcWhBrQJto9bQ0MgitKDW0NDQyHFoQa2hoaGR49CCWgXamaihoZFFaEGtoaGhkePQgloF2pmooaGRRWhBraGhoZHj0IJaQ0NDI8ehBbWGhoZGjkMLag0NDY0chxbUCmhqaQcANJr/amhoaHQmtKBWwNpdRwEA72xvyHJLNDQ0eiKUaib2VIy6Zzla2hPW5/V7jqFqwTIUxCLYsvCqLLZMQ0OjJ0Fr1B6onV+D2RMrEc8zXlM8L4LrJ1ai9q6aLLdMQ0OjJ0ELag9UlMRRXBBDS3sCBbEIWtoTKC6IoaI4nu2maWho9CBo04cPGhpbMHfaMHxh6lA8tnI36k82Z7tJGhoaPQyEZqBia3V1NV29enXo19XQ0NDoriCErKGUVsu+06YPDQ0NjRyHFtQaGhoaOQ4tqDU0NDRyHFpQa2hoaOQ4tKDW0NDQyHFoQa2hoaGR48hIeB4hpB7ArhR/3g9ATyPV0M/cM6CfufsjnecdRintL/siI4I6HRBCVrvFEnZX6GfuGdDP3P2RqefVpg8NDQ2NHIcW1BoaGho5jlwU1A9nuwFZgH7mngH9zN0fGXnenLNRa2hoaGjYkYsatYaGhoYGBy2oNTQ0NHIcOSOoCSGzCCFbCCHbCSELst2esEAIOYMQ8gYhZDMh5ENCyDfM430IIa8SQraZ/5abxwkhZJH5HjYSQiZn9wlSByEkSghZRwhZan4eTgh533y2PxNC8s3jBebn7eb3VVlteIoghJQRQv5CCPmYEPIRIeT87t7PhJBvmuN6EyHkcUJIvLv1MyHkd4SQOkLIJu5Y4H4lhPyDef42Qsg/BGlDTghqQkgUwEMArgIwBsAthJAx2W1VaGgH8C1K6RgA0wHcbj7bAgArKKVnA1hhfgaMd3C2+d9tAP6r85scGr4B4CPu8/0AfkEpHQHgKIAvm8e/DOCoefwX5nldEb8C8BKldDSACTCevdv2MyFkMIA7AVRTSscBiAK4Gd2vn/8AYJZwLFC/EkL6APghgGkApgL4IRPuSqCUZv0/AOcDeJn7fDeAu7Pdrgw963MAPgNgC4BB5rFBALaYfy8GcAt3vnVeV/oPwBBzAF8OYCkAAiNjKyb2OYCXAZxv/h0zzyPZfoaAz1sKYIfY7u7czwAGA9gDoI/Zb0sBzOyO/QygCsCmVPsVwC0AFnPHbef5/ZcTGjWSHc6w1zzWrWBu9SYBeB/AAErpAfOrgwAGmH93l3fxSwDzAbAy7n0BHKOUtpuf+eeyntn8/rh5flfCcAD1AH5vmnt+SwjphW7cz5TSfQD+HcBuAAdg9NsadO9+Zgjar2n1d64I6m4PQkhvAE8B+BdK6Qn+O2ossd0mTpIQci2AOkrpmmy3pRMRAzAZwH9RSicBaEJyOwygW/ZzOYDrYSxSlQB6wWki6PbojH7NFUG9D8AZ3Och5rFuAUJIHgwh/Sil9Gnz8CFCyCDz+0EA6szj3eFdXAhgNiFkJ4A/wTB//ApAGSGEFVTmn8t6ZvP7UgCHO7PBIWAvgL2U0vfNz3+BIbi7cz9fAWAHpbSeUtoG4GkYfd+d+5khaL+m1d+5IqhXATjb9Bbnw3BIPJ/lNoUCQggB8L8APqKUPsh99TwA5vn9Bxi2a3b8703v8XQAx7ktVpcApfRuSukQSmkVjL58nVI6F8AbAD5nniY+M3sXnzPP71KaJ6X0IIA9hJBR5qEZADajG/czDJPHdEJIkTnO2TN3237mELRfXwZwJSGk3NyJXGkeU0O2jfSccf1qAFsBfALge9luT4jPdRGMbdFGAOvN/66GYZtbAWAbgNcA9DHPJzAiYD4B8AEMj3rWnyON578MwFLz7zMBrASwHcCTAArM43Hz83bz+zOz3e4Un3UigNVmXz8LoLy79zOAHwP4GMAmAI8AKOhu/QzgcRg2+DYYO6cvp9KvAL5kP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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">logical_and</span><span class="p">([</span><span class="kc">True</span><span class="p">,</span><span class="kc">False</span><span class="p">],[</span><span class="kc">True</span><span class="p">,</span><span class="kc">True</span><span class="p">])</span>
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<pre>array([ True, False])</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">sum</span><span class="p">(</span><span class="n">r</span> <span class="o">==</span> <span class="mi">4</span><span class="p">)</span>
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<pre>0</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mf">0.5</span><span class="p">,</span><span class="mi">20</span><span class="p">):</span>
    <span class="n">s</span> <span class="o">=</span> <span class="nb">sum</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">logical_and</span><span class="p">((</span><span class="n">r</span> <span class="o">&lt;=</span> <span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="n">r</span><span class="o">&gt;</span><span class="n">i</span><span class="p">)))</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:}</span><span class="s2"> : </span><span class="si">{:d}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">i</span><span class="p">,</span><span class="n">s</span><span class="p">))</span>
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<pre>0.5 : 35
1.5 : 139
2.5 : 203
3.5 : 238
4.5 : 205
5.5 : 126
6.5 : 38
7.5 : 5
8.5 : 1
9.5 : 0
10.5 : 0
11.5 : 0
12.5 : 0
13.5 : 0
14.5 : 0
15.5 : 0
16.5 : 0
17.5 : 0
18.5 : 0
19.5 : 0
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<h2 id="Gauss-Distribution-Application:-The-Galton-Machine">Gauss Distribution Application: The Galton Machine<a class="anchor-link" href="#Gauss-Distribution-Application:-The-Galton-Machine">&#182;</a></h2><p>A Galton Board (or, <em>Bean Machine</em>, or <em>Quincux</em>) is a board with pegs nailed in such an arrangement that at each junction an arriving ball can continue either towards left or right, with equal probability:</p>
<p><img 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" alt="Galton_Board_1.jpg">
<a href="http://statisticstepbystep.altervista.org/extra-galton-machine/">Source</a></p>

</div>
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</div>
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<p>Let's work on the probabilities:</p>
<ol>
<li>The probability that the ball will hit the first peg is definite, i.e., 1.</li>
<li>The probability for the left and right pegs getting hit is equal and is 1/2.</li>
<li>For our 3rd level, we have 3 pegs: left, right and middle. The left and right pegs (side pegs) can only be hit if the marble continues its sideways motion, hence, carrying from before, its probability is (1/2)(1/2)=(1/4). However, the middle can be hit either from right or from left so, its probability of being hit becomes: 2x(1/2)(1/2) = 1/2.</li>
</ol>
<p><img 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" alt="GaltonProbabilities.png"></p>
<p><code>The possible paths:
                         1
                 L               R
         LL            LR|RL           RR
    LLL     LLR|LRL|RLL     LRR|RLR|RRL   RRR</code></p>

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<p>Now we're going to simulate this situation. We will N levels. One can see that each level has number of pegs equal to the level number.</p>

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<div class="prompt input_prompt">In&nbsp;[26]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>

<span class="n">N</span> <span class="o">=</span> <span class="mi">4</span> <span class="c1"># Number of levels.</span>

<span class="n">ball_position</span> <span class="o">=</span> <span class="mi">0</span> <span class="c1"># Center</span>

<span class="n">path</span> <span class="o">=</span> <span class="s2">&quot;&quot;</span>

<span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">N</span><span class="p">):</span>
    <span class="k">if</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">()</span><span class="o">&lt;</span><span class="mf">0.5</span><span class="p">):</span>
        <span class="n">ball_position</span> <span class="o">-=</span> <span class="mi">1</span> <span class="c1"># Go left:</span>
        <span class="n">path</span> <span class="o">+=</span> <span class="s2">&quot;L&quot;</span>
    <span class="k">else</span><span class="p">:</span>
        <span class="n">ball_position</span> <span class="o">+=</span> <span class="mi">1</span> <span class="c1"># Go right</span>
        <span class="n">path</span> <span class="o">+=</span> <span class="s2">&quot;R&quot;</span>

<span class="nb">print</span><span class="p">(</span><span class="n">ball_position</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
</pre></div>

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<pre>3
RRR
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<p>Now let's repeat this experiment with many balls (M = 10000) and higher number of levels (N = 10):</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>

<span class="n">M</span> <span class="o">=</span> <span class="mi">10000</span> <span class="c1"># Number of balls (/trials)</span>
<span class="n">N</span> <span class="o">=</span> <span class="mi">9</span> <span class="c1"># Number of levels.</span>

<span class="n">storage</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">N</span><span class="o">*</span><span class="mi">2</span><span class="p">)</span>

<span class="k">for</span> <span class="n">m</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">M</span><span class="p">):</span>
    <span class="n">ball_position</span> <span class="o">=</span> <span class="mi">0</span> <span class="c1"># Center</span>
    <span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">N</span><span class="p">):</span>
        <span class="k">if</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">()</span><span class="o">&lt;</span><span class="mf">0.5</span><span class="p">):</span>
            <span class="n">ball_position</span> <span class="o">-=</span> <span class="mi">1</span> <span class="c1"># Go left:</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="n">ball_position</span> <span class="o">+=</span> <span class="mi">1</span> <span class="c1"># Go right</span>
    <span class="c1">#print(ball_position)</span>
    <span class="n">storage</span><span class="p">[</span><span class="n">ball_position</span><span class="o">+</span><span class="n">N</span><span class="p">]</span> <span class="o">+=</span> <span class="mi">1</span>

<span class="nb">print</span><span class="p">(</span><span class="n">storage</span><span class="p">)</span>
<span class="n">storage_filtered</span> <span class="o">=</span> <span class="n">storage</span><span class="p">[</span><span class="n">storage</span><span class="o">&gt;</span><span class="mi">0</span><span class="p">]</span>
<span class="nb">print</span><span class="p">(</span><span class="n">storage_filtered</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">storage_filtered</span><span class="p">)</span><span class="o">+</span><span class="mi">1</span><span class="p">),</span><span class="n">storage_filtered</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="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">storage_filtered</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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<pre>[   0.   46.    0.  305.    0. 1122.    0. 2165.    0. 2825.    0. 2150.
    0. 1056.    0.  299.    0.   32.]
[  46.  305. 1122. 2165. 2825. 2150. 1056.  299.   32.]
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<h2 id="Poisson-Distribution">Poisson Distribution<a class="anchor-link" href="#Poisson-Distribution">&#182;</a></h2><p>When we have a very high number of trials with very low probabilities (like the number of flights &amp; probability of crash, or number of radioactive atoms &amp; probability of decay), the binomial distribution takes the form of:</p>
$$P(k) = \frac{\lambda^k e^{-\lambda}}{k!}$$<p>(here, $\lambda = Np$, with $n$ being the number of trials and $p$ is the probability of the event occuring. As one is very high whereas the other is very low, their product tends to be a reasonable number).</p>
<p>This formula describes the probability of a very-low chance outcome ($p\rightarrow0$) happening k times out of a very high (practically infinite) number of drawings/tries/choosings ($N\rightarrow\infty$) is called as the <strong>Poisson Distribution</strong>.</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">scipy</span> <span class="k">as</span> <span class="nn">sp</span>
<span class="k">def</span> <span class="nf">poisson</span><span class="p">(</span><span class="n">l</span><span class="p">,</span><span class="n">k</span><span class="p">):</span>
    <span class="k">return</span> <span class="p">(</span><span class="n">l</span><span class="o">**</span><span class="n">k</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="n">l</span><span class="p">)</span><span class="o">/</span><span class="n">sp</span><span class="o">.</span><span class="n">special</span><span class="o">.</span><span class="n">factorial</span><span class="p">(</span><span class="n">k</span><span class="p">))</span>
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<h3 id="Application:-Cesium-Decay">Application: Cesium Decay<a class="anchor-link" href="#Application:-Cesium-Decay">&#182;</a></h3><p><sup>137</sup>Cs is a radioactive element with a half-life of 27 years. Thus the probability that a single Cs atom will decay now is :</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">years27toseconds</span> <span class="o">=</span> <span class="mi">27</span><span class="o">*</span><span class="mi">365</span><span class="o">*</span><span class="mi">24</span><span class="o">*</span><span class="mi">60</span><span class="o">*</span><span class="mi">60</span> <span class="c1"># s</span>
<span class="n">p</span> <span class="o">=</span> <span class="mi">1</span><span class="o">/</span><span class="n">years27toseconds</span> <span class="c1">#s^(-1)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">p</span><span class="p">)</span>
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<pre>1.174436740139429e-09
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<p>This is a very small probability. But in 1000 ng, there are around 10<sup>10</sup> Cs atoms. Each one has a chance to decay, therefore we will have:</p>
$$\lambda = Np = (10^{10})(1.174\times10^{-9}s^{-1})=11.74\text{ decays/s}$$
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">N</span> <span class="o">=</span> <span class="mf">1E10</span>
<span class="n">l</span> <span class="o">=</span> <span class="n">N</span><span class="o">*</span><span class="n">p</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:g}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">l</span><span class="p">))</span>
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<pre>11.7444
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">k</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">25</span><span class="p">)</span>
<span class="n">p_k</span> <span class="o">=</span> <span class="n">poisson</span><span class="p">(</span><span class="n">l</span><span class="p">,</span><span class="n">k</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">p_k</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="n">k</span><span class="p">,</span><span class="n">p_k</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">k</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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<pre>[7.93388761e-06 9.31784910e-05 5.47161216e-04 2.14202078e-03
 6.28916977e-03 1.47724641e-02 2.89155409e-02 4.85135338e-02
 7.12200955e-02 9.29372187e-02 1.09148884e-01 1.16534963e-01
 1.14052452e-01 1.03036454e-01 8.64355693e-02 6.76754055e-02
 4.96753016e-02 3.43179408e-02 2.23912503e-02 1.38405826e-02
 8.12744437e-03 4.54531870e-03 2.42644967e-03 1.23900506e-03
 6.06305444e-04]
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