FIZ353_03_LeastSquaresErrors.html

<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />

<title>FIZ353_03_LeastSquaresErrors</title>

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<style type="text/css">
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/*! normalize.css v3.0.3 | MIT License | github.com/necolas/normalize.css */
html {
  font-family: sans-serif;
  -ms-text-size-adjust: 100%;
  -webkit-text-size-adjust: 100%;
}
body {
  margin: 0;
}
article,
aside,
details,
figcaption,
figure,
footer,
header,
hgroup,
main,
menu,
nav,
section,
summary {
  display: block;
}
audio,
canvas,
progress,
video {
  display: inline-block;
  vertical-align: baseline;
}
audio:not([controls]) {
  display: none;
  height: 0;
}
[hidden],
template {
  display: none;
}
a {
  background-color: transparent;
}
a:active,
a:hover {
  outline: 0;
}
abbr[title] {
  border-bottom: none;
  text-decoration: underline;
  text-decoration: underline dotted;
}
b,
strong {
  font-weight: bold;
}
dfn {
  font-style: italic;
}
h1 {
  font-size: 2em;
  margin: 0.67em 0;
}
mark {
  background: #ff0;
  color: #000;
}
small {
  font-size: 80%;
}
sub,
sup {
  font-size: 75%;
  line-height: 0;
  position: relative;
  vertical-align: baseline;
}
sup {
  top: -0.5em;
}
sub {
  bottom: -0.25em;
}
img {
  border: 0;
}
svg:not(:root) {
  overflow: hidden;
}
figure {
  margin: 1em 40px;
}
hr {
  box-sizing: content-box;
  height: 0;
}
pre {
  overflow: auto;
}
code,
kbd,
pre,
samp {
  font-family: monospace, monospace;
  font-size: 1em;
}
button,
input,
optgroup,
select,
textarea {
  color: inherit;
  font: inherit;
  margin: 0;
}
button {
  overflow: visible;
}
button,
select {
  text-transform: none;
}
button,
html input[type="button"],
input[type="reset"],
input[type="submit"] {
  -webkit-appearance: button;
  cursor: pointer;
}
button[disabled],
html input[disabled] {
  cursor: default;
}
button::-moz-focus-inner,
input::-moz-focus-inner {
  border: 0;
  padding: 0;
}
input {
  line-height: normal;
}
input[type="checkbox"],
input[type="radio"] {
  box-sizing: border-box;
  padding: 0;
}
input[type="number"]::-webkit-inner-spin-button,
input[type="number"]::-webkit-outer-spin-button {
  height: auto;
}
input[type="search"] {
  -webkit-appearance: textfield;
  box-sizing: content-box;
}
input[type="search"]::-webkit-search-cancel-button,
input[type="search"]::-webkit-search-decoration {
  -webkit-appearance: none;
}
fieldset {
  border: 1px solid #c0c0c0;
  margin: 0 2px;
  padding: 0.35em 0.625em 0.75em;
}
legend {
  border: 0;
  padding: 0;
}
textarea {
  overflow: auto;
}
optgroup {
  font-weight: bold;
}
table {
  border-collapse: collapse;
  border-spacing: 0;
}
td,
th {
  padding: 0;
}
/*! Source: https://github.com/h5bp/html5-boilerplate/blob/master/src/css/main.css */
@media print {
  *,
  *:before,
  *:after {
    color: #000 !important;
    text-shadow: none !important;
    background: transparent !important;
    box-shadow: none !important;
  }
  a,
  a:visited {
    text-decoration: underline;
  }
  a[href]:after {
    content: " (" attr(href) ")";
  }
  abbr[title]:after {
    content: " (" attr(title) ")";
  }
  a[href^="#"]:after,
  a[href^="javascript:"]:after {
    content: "";
  }
  pre,
  blockquote {
    border: 1px solid #999;
    page-break-inside: avoid;
  }
  thead {
    display: table-header-group;
  }
  tr,
  img {
    page-break-inside: avoid;
  }
  img {
    max-width: 100% !important;
  }
  p,
  h2,
  h3 {
    orphans: 3;
    widows: 3;
  }
  h2,
  h3 {
    page-break-after: avoid;
  }
  .navbar {
    display: none;
  }
  .btn > .caret,
  .dropup > .btn > .caret {
    border-top-color: #000 !important;
  }
  .label {
    border: 1px solid #000;
  }
  .table {
    border-collapse: collapse !important;
  }
  .table td,
  .table th {
    background-color: #fff !important;
  }
  .table-bordered th,
  .table-bordered td {
    border: 1px solid #ddd !important;
  }
}
@font-face {
  font-family: "Glyphicons Halflings";
  src: url("../components/bootstrap/fonts/glyphicons-halflings-regular.eot");
  src: url("../components/bootstrap/fonts/glyphicons-halflings-regular.eot?#iefix") format("embedded-opentype"), url("../components/bootstrap/fonts/glyphicons-halflings-regular.woff2") format("woff2"), url("../components/bootstrap/fonts/glyphicons-halflings-regular.woff") format("woff"), url("../components/bootstrap/fonts/glyphicons-halflings-regular.ttf") format("truetype"), url("../components/bootstrap/fonts/glyphicons-halflings-regular.svg#glyphicons_halflingsregular") format("svg");
}
.glyphicon {
  position: relative;
  top: 1px;
  display: inline-block;
  font-family: "Glyphicons Halflings";
  font-style: normal;
  font-weight: 400;
  line-height: 1;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
.glyphicon-asterisk:before {
  content: "\002a";
}
.glyphicon-plus:before {
  content: "\002b";
}
.glyphicon-euro:before,
.glyphicon-eur:before {
  content: "\20ac";
}
.glyphicon-minus:before {
  content: "\2212";
}
.glyphicon-cloud:before {
  content: "\2601";
}
.glyphicon-envelope:before {
  content: "\2709";
}
.glyphicon-pencil:before {
  content: "\270f";
}
.glyphicon-glass:before {
  content: "\e001";
}
.glyphicon-music:before {
  content: "\e002";
}
.glyphicon-search:before {
  content: "\e003";
}
.glyphicon-heart:before {
  content: "\e005";
}
.glyphicon-star:before {
  content: "\e006";
}
.glyphicon-star-empty:before {
  content: "\e007";
}
.glyphicon-user:before {
  content: "\e008";
}
.glyphicon-film:before {
  content: "\e009";
}
.glyphicon-th-large:before {
  content: "\e010";
}
.glyphicon-th:before {
  content: "\e011";
}
.glyphicon-th-list:before {
  content: "\e012";
}
.glyphicon-ok:before {
  content: "\e013";
}
.glyphicon-remove:before {
  content: "\e014";
}
.glyphicon-zoom-in:before {
  content: "\e015";
}
.glyphicon-zoom-out:before {
  content: "\e016";
}
.glyphicon-off:before {
  content: "\e017";
}
.glyphicon-signal:before {
  content: "\e018";
}
.glyphicon-cog:before {
  content: "\e019";
}
.glyphicon-trash:before {
  content: "\e020";
}
.glyphicon-home:before {
  content: "\e021";
}
.glyphicon-file:before {
  content: "\e022";
}
.glyphicon-time:before {
  content: "\e023";
}
.glyphicon-road:before {
  content: "\e024";
}
.glyphicon-download-alt:before {
  content: "\e025";
}
.glyphicon-download:before {
  content: "\e026";
}
.glyphicon-upload:before {
  content: "\e027";
}
.glyphicon-inbox:before {
  content: "\e028";
}
.glyphicon-play-circle:before {
  content: "\e029";
}
.glyphicon-repeat:before {
  content: "\e030";
}
.glyphicon-refresh:before {
  content: "\e031";
}
.glyphicon-list-alt:before {
  content: "\e032";
}
.glyphicon-lock:before {
  content: "\e033";
}
.glyphicon-flag:before {
  content: "\e034";
}
.glyphicon-headphones:before {
  content: "\e035";
}
.glyphicon-volume-off:before {
  content: "\e036";
}
.glyphicon-volume-down:before {
  content: "\e037";
}
.glyphicon-volume-up:before {
  content: "\e038";
}
.glyphicon-qrcode:before {
  content: "\e039";
}
.glyphicon-barcode:before {
  content: "\e040";
}
.glyphicon-tag:before {
  content: "\e041";
}
.glyphicon-tags:before {
  content: "\e042";
}
.glyphicon-book:before {
  content: "\e043";
}
.glyphicon-bookmark:before {
  content: "\e044";
}
.glyphicon-print:before {
  content: "\e045";
}
.glyphicon-camera:before {
  content: "\e046";
}
.glyphicon-font:before {
  content: "\e047";
}
.glyphicon-bold:before {
  content: "\e048";
}
.glyphicon-italic:before {
  content: "\e049";
}
.glyphicon-text-height:before {
  content: "\e050";
}
.glyphicon-text-width:before {
  content: "\e051";
}
.glyphicon-align-left:before {
  content: "\e052";
}
.glyphicon-align-center:before {
  content: "\e053";
}
.glyphicon-align-right:before {
  content: "\e054";
}
.glyphicon-align-justify:before {
  content: "\e055";
}
.glyphicon-list:before {
  content: "\e056";
}
.glyphicon-indent-left:before {
  content: "\e057";
}
.glyphicon-indent-right:before {
  content: "\e058";
}
.glyphicon-facetime-video:before {
  content: "\e059";
}
.glyphicon-picture:before {
  content: "\e060";
}
.glyphicon-map-marker:before {
  content: "\e062";
}
.glyphicon-adjust:before {
  content: "\e063";
}
.glyphicon-tint:before {
  content: "\e064";
}
.glyphicon-edit:before {
  content: "\e065";
}
.glyphicon-share:before {
  content: "\e066";
}
.glyphicon-check:before {
  content: "\e067";
}
.glyphicon-move:before {
  content: "\e068";
}
.glyphicon-step-backward:before {
  content: "\e069";
}
.glyphicon-fast-backward:before {
  content: "\e070";
}
.glyphicon-backward:before {
  content: "\e071";
}
.glyphicon-play:before {
  content: "\e072";
}
.glyphicon-pause:before {
  content: "\e073";
}
.glyphicon-stop:before {
  content: "\e074";
}
.glyphicon-forward:before {
  content: "\e075";
}
.glyphicon-fast-forward:before {
  content: "\e076";
}
.glyphicon-step-forward:before {
  content: "\e077";
}
.glyphicon-eject:before {
  content: "\e078";
}
.glyphicon-chevron-left:before {
  content: "\e079";
}
.glyphicon-chevron-right:before {
  content: "\e080";
}
.glyphicon-plus-sign:before {
  content: "\e081";
}
.glyphicon-minus-sign:before {
  content: "\e082";
}
.glyphicon-remove-sign:before {
  content: "\e083";
}
.glyphicon-ok-sign:before {
  content: "\e084";
}
.glyphicon-question-sign:before {
  content: "\e085";
}
.glyphicon-info-sign:before {
  content: "\e086";
}
.glyphicon-screenshot:before {
  content: "\e087";
}
.glyphicon-remove-circle:before {
  content: "\e088";
}
.glyphicon-ok-circle:before {
  content: "\e089";
}
.glyphicon-ban-circle:before {
  content: "\e090";
}
.glyphicon-arrow-left:before {
  content: "\e091";
}
.glyphicon-arrow-right:before {
  content: "\e092";
}
.glyphicon-arrow-up:before {
  content: "\e093";
}
.glyphicon-arrow-down:before {
  content: "\e094";
}
.glyphicon-share-alt:before {
  content: "\e095";
}
.glyphicon-resize-full:before {
  content: "\e096";
}
.glyphicon-resize-small:before {
  content: "\e097";
}
.glyphicon-exclamation-sign:before {
  content: "\e101";
}
.glyphicon-gift:before {
  content: "\e102";
}
.glyphicon-leaf:before {
  content: "\e103";
}
.glyphicon-fire:before {
  content: "\e104";
}
.glyphicon-eye-open:before {
  content: "\e105";
}
.glyphicon-eye-close:before {
  content: "\e106";
}
.glyphicon-warning-sign:before {
  content: "\e107";
}
.glyphicon-plane:before {
  content: "\e108";
}
.glyphicon-calendar:before {
  content: "\e109";
}
.glyphicon-random:before {
  content: "\e110";
}
.glyphicon-comment:before {
  content: "\e111";
}
.glyphicon-magnet:before {
  content: "\e112";
}
.glyphicon-chevron-up:before {
  content: "\e113";
}
.glyphicon-chevron-down:before {
  content: "\e114";
}
.glyphicon-retweet:before {
  content: "\e115";
}
.glyphicon-shopping-cart:before {
  content: "\e116";
}
.glyphicon-folder-close:before {
  content: "\e117";
}
.glyphicon-folder-open:before {
  content: "\e118";
}
.glyphicon-resize-vertical:before {
  content: "\e119";
}
.glyphicon-resize-horizontal:before {
  content: "\e120";
}
.glyphicon-hdd:before {
  content: "\e121";
}
.glyphicon-bullhorn:before {
  content: "\e122";
}
.glyphicon-bell:before {
  content: "\e123";
}
.glyphicon-certificate:before {
  content: "\e124";
}
.glyphicon-thumbs-up:before {
  content: "\e125";
}
.glyphicon-thumbs-down:before {
  content: "\e126";
}
.glyphicon-hand-right:before {
  content: "\e127";
}
.glyphicon-hand-left:before {
  content: "\e128";
}
.glyphicon-hand-up:before {
  content: "\e129";
}
.glyphicon-hand-down:before {
  content: "\e130";
}
.glyphicon-circle-arrow-right:before {
  content: "\e131";
}
.glyphicon-circle-arrow-left:before {
  content: "\e132";
}
.glyphicon-circle-arrow-up:before {
  content: "\e133";
}
.glyphicon-circle-arrow-down:before {
  content: "\e134";
}
.glyphicon-globe:before {
  content: "\e135";
}
.glyphicon-wrench:before {
  content: "\e136";
}
.glyphicon-tasks:before {
  content: "\e137";
}
.glyphicon-filter:before {
  content: "\e138";
}
.glyphicon-briefcase:before {
  content: "\e139";
}
.glyphicon-fullscreen:before {
  content: "\e140";
}
.glyphicon-dashboard:before {
  content: "\e141";
}
.glyphicon-paperclip:before {
  content: "\e142";
}
.glyphicon-heart-empty:before {
  content: "\e143";
}
.glyphicon-link:before {
  content: "\e144";
}
.glyphicon-phone:before {
  content: "\e145";
}
.glyphicon-pushpin:before {
  content: "\e146";
}
.glyphicon-usd:before {
  content: "\e148";
}
.glyphicon-gbp:before {
  content: "\e149";
}
.glyphicon-sort:before {
  content: "\e150";
}
.glyphicon-sort-by-alphabet:before {
  content: "\e151";
}
.glyphicon-sort-by-alphabet-alt:before {
  content: "\e152";
}
.glyphicon-sort-by-order:before {
  content: "\e153";
}
.glyphicon-sort-by-order-alt:before {
  content: "\e154";
}
.glyphicon-sort-by-attributes:before {
  content: "\e155";
}
.glyphicon-sort-by-attributes-alt:before {
  content: "\e156";
}
.glyphicon-unchecked:before {
  content: "\e157";
}
.glyphicon-expand:before {
  content: "\e158";
}
.glyphicon-collapse-down:before {
  content: "\e159";
}
.glyphicon-collapse-up:before {
  content: "\e160";
}
.glyphicon-log-in:before {
  content: "\e161";
}
.glyphicon-flash:before {
  content: "\e162";
}
.glyphicon-log-out:before {
  content: "\e163";
}
.glyphicon-new-window:before {
  content: "\e164";
}
.glyphicon-record:before {
  content: "\e165";
}
.glyphicon-save:before {
  content: "\e166";
}
.glyphicon-open:before {
  content: "\e167";
}
.glyphicon-saved:before {
  content: "\e168";
}
.glyphicon-import:before {
  content: "\e169";
}
.glyphicon-export:before {
  content: "\e170";
}
.glyphicon-send:before {
  content: "\e171";
}
.glyphicon-floppy-disk:before {
  content: "\e172";
}
.glyphicon-floppy-saved:before {
  content: "\e173";
}
.glyphicon-floppy-remove:before {
  content: "\e174";
}
.glyphicon-floppy-save:before {
  content: "\e175";
}
.glyphicon-floppy-open:before {
  content: "\e176";
}
.glyphicon-credit-card:before {
  content: "\e177";
}
.glyphicon-transfer:before {
  content: "\e178";
}
.glyphicon-cutlery:before {
  content: "\e179";
}
.glyphicon-header:before {
  content: "\e180";
}
.glyphicon-compressed:before {
  content: "\e181";
}
.glyphicon-earphone:before {
  content: "\e182";
}
.glyphicon-phone-alt:before {
  content: "\e183";
}
.glyphicon-tower:before {
  content: "\e184";
}
.glyphicon-stats:before {
  content: "\e185";
}
.glyphicon-sd-video:before {
  content: "\e186";
}
.glyphicon-hd-video:before {
  content: "\e187";
}
.glyphicon-subtitles:before {
  content: "\e188";
}
.glyphicon-sound-stereo:before {
  content: "\e189";
}
.glyphicon-sound-dolby:before {
  content: "\e190";
}
.glyphicon-sound-5-1:before {
  content: "\e191";
}
.glyphicon-sound-6-1:before {
  content: "\e192";
}
.glyphicon-sound-7-1:before {
  content: "\e193";
}
.glyphicon-copyright-mark:before {
  content: "\e194";
}
.glyphicon-registration-mark:before {
  content: "\e195";
}
.glyphicon-cloud-download:before {
  content: "\e197";
}
.glyphicon-cloud-upload:before {
  content: "\e198";
}
.glyphicon-tree-conifer:before {
  content: "\e199";
}
.glyphicon-tree-deciduous:before {
  content: "\e200";
}
.glyphicon-cd:before {
  content: "\e201";
}
.glyphicon-save-file:before {
  content: "\e202";
}
.glyphicon-open-file:before {
  content: "\e203";
}
.glyphicon-level-up:before {
  content: "\e204";
}
.glyphicon-copy:before {
  content: "\e205";
}
.glyphicon-paste:before {
  content: "\e206";
}
.glyphicon-alert:before {
  content: "\e209";
}
.glyphicon-equalizer:before {
  content: "\e210";
}
.glyphicon-king:before {
  content: "\e211";
}
.glyphicon-queen:before {
  content: "\e212";
}
.glyphicon-pawn:before {
  content: "\e213";
}
.glyphicon-bishop:before {
  content: "\e214";
}
.glyphicon-knight:before {
  content: "\e215";
}
.glyphicon-baby-formula:before {
  content: "\e216";
}
.glyphicon-tent:before {
  content: "\26fa";
}
.glyphicon-blackboard:before {
  content: "\e218";
}
.glyphicon-bed:before {
  content: "\e219";
}
.glyphicon-apple:before {
  content: "\f8ff";
}
.glyphicon-erase:before {
  content: "\e221";
}
.glyphicon-hourglass:before {
  content: "\231b";
}
.glyphicon-lamp:before {
  content: "\e223";
}
.glyphicon-duplicate:before {
  content: "\e224";
}
.glyphicon-piggy-bank:before {
  content: "\e225";
}
.glyphicon-scissors:before {
  content: "\e226";
}
.glyphicon-bitcoin:before {
  content: "\e227";
}
.glyphicon-btc:before {
  content: "\e227";
}
.glyphicon-xbt:before {
  content: "\e227";
}
.glyphicon-yen:before {
  content: "\00a5";
}
.glyphicon-jpy:before {
  content: "\00a5";
}
.glyphicon-ruble:before {
  content: "\20bd";
}
.glyphicon-rub:before {
  content: "\20bd";
}
.glyphicon-scale:before {
  content: "\e230";
}
.glyphicon-ice-lolly:before {
  content: "\e231";
}
.glyphicon-ice-lolly-tasted:before {
  content: "\e232";
}
.glyphicon-education:before {
  content: "\e233";
}
.glyphicon-option-horizontal:before {
  content: "\e234";
}
.glyphicon-option-vertical:before {
  content: "\e235";
}
.glyphicon-menu-hamburger:before {
  content: "\e236";
}
.glyphicon-modal-window:before {
  content: "\e237";
}
.glyphicon-oil:before {
  content: "\e238";
}
.glyphicon-grain:before {
  content: "\e239";
}
.glyphicon-sunglasses:before {
  content: "\e240";
}
.glyphicon-text-size:before {
  content: "\e241";
}
.glyphicon-text-color:before {
  content: "\e242";
}
.glyphicon-text-background:before {
  content: "\e243";
}
.glyphicon-object-align-top:before {
  content: "\e244";
}
.glyphicon-object-align-bottom:before {
  content: "\e245";
}
.glyphicon-object-align-horizontal:before {
  content: "\e246";
}
.glyphicon-object-align-left:before {
  content: "\e247";
}
.glyphicon-object-align-vertical:before {
  content: "\e248";
}
.glyphicon-object-align-right:before {
  content: "\e249";
}
.glyphicon-triangle-right:before {
  content: "\e250";
}
.glyphicon-triangle-left:before {
  content: "\e251";
}
.glyphicon-triangle-bottom:before {
  content: "\e252";
}
.glyphicon-triangle-top:before {
  content: "\e253";
}
.glyphicon-console:before {
  content: "\e254";
}
.glyphicon-superscript:before {
  content: "\e255";
}
.glyphicon-subscript:before {
  content: "\e256";
}
.glyphicon-menu-left:before {
  content: "\e257";
}
.glyphicon-menu-right:before {
  content: "\e258";
}
.glyphicon-menu-down:before {
  content: "\e259";
}
.glyphicon-menu-up:before {
  content: "\e260";
}
* {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
*:before,
*:after {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
}
html {
  font-size: 10px;
  -webkit-tap-highlight-color: rgba(0, 0, 0, 0);
}
body {
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 13px;
  line-height: 1.42857143;
  color: #000000;
  background-color: #ffffff;
}
input,
button,
select,
textarea {
  font-family: inherit;
  font-size: inherit;
  line-height: inherit;
}
a {
  color: #296eaa;
  text-decoration: none;
}
a:hover,
a:focus {
  color: #1a466c;
  text-decoration: underline;
}
a:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
figure {
  margin: 0;
}
img {
  vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  display: block;
  max-width: 100%;
  height: auto;
}
.img-rounded {
  border-radius: 3px;
}
.img-thumbnail {
  padding: 4px;
  line-height: 1.42857143;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-radius: 2px;
  -webkit-transition: all 0.2s ease-in-out;
  -o-transition: all 0.2s ease-in-out;
  transition: all 0.2s ease-in-out;
  display: inline-block;
  max-width: 100%;
  height: auto;
}
.img-circle {
  border-radius: 50%;
}
hr {
  margin-top: 18px;
  margin-bottom: 18px;
  border: 0;
  border-top: 1px solid #eeeeee;
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  padding: 0;
  margin: -1px;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
[role="button"] {
  cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
  font-family: inherit;
  font-weight: 500;
  line-height: 1.1;
  color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
  font-weight: 400;
  line-height: 1;
  color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
  margin-top: 18px;
  margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
  font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
  margin-top: 9px;
  margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
  font-size: 75%;
}
h1,
.h1 {
  font-size: 33px;
}
h2,
.h2 {
  font-size: 27px;
}
h3,
.h3 {
  font-size: 23px;
}
h4,
.h4 {
  font-size: 17px;
}
h5,
.h5 {
  font-size: 13px;
}
h6,
.h6 {
  font-size: 12px;
}
p {
  margin: 0 0 9px;
}
.lead {
  margin-bottom: 18px;
  font-size: 14px;
  font-weight: 300;
  line-height: 1.4;
}
@media (min-width: 768px) {
  .lead {
    font-size: 19.5px;
  }
}
small,
.small {
  font-size: 92%;
}
mark,
.mark {
  padding: .2em;
  background-color: #fcf8e3;
}
.text-left {
  text-align: left;
}
.text-right {
  text-align: right;
}
.text-center {
  text-align: center;
}
.text-justify {
  text-align: justify;
}
.text-nowrap {
  white-space: nowrap;
}
.text-lowercase {
  text-transform: lowercase;
}
.text-uppercase {
  text-transform: uppercase;
}
.text-capitalize {
  text-transform: capitalize;
}
.text-muted {
  color: #777777;
}
.text-primary {
  color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
  color: #286090;
}
.text-success {
  color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
  color: #2b542c;
}
.text-info {
  color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
  color: #245269;
}
.text-warning {
  color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
  color: #66512c;
}
.text-danger {
  color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
  color: #843534;
}
.bg-primary {
  color: #fff;
  background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
  background-color: #286090;
}
.bg-success {
  background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
  background-color: #c1e2b3;
}
.bg-info {
  background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
  background-color: #afd9ee;
}
.bg-warning {
  background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
  background-color: #f7ecb5;
}
.bg-danger {
  background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
  background-color: #e4b9b9;
}
.page-header {
  padding-bottom: 8px;
  margin: 36px 0 18px;
  border-bottom: 1px solid #eeeeee;
}
ul,
ol {
  margin-top: 0;
  margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
  margin-bottom: 0;
}
.list-unstyled {
  padding-left: 0;
  list-style: none;
}
.list-inline {
  padding-left: 0;
  list-style: none;
  margin-left: -5px;
}
.list-inline > li {
  display: inline-block;
  padding-right: 5px;
  padding-left: 5px;
}
dl {
  margin-top: 0;
  margin-bottom: 18px;
}
dt,
dd {
  line-height: 1.42857143;
}
dt {
  font-weight: 700;
}
dd {
  margin-left: 0;
}
@media (min-width: 541px) {
  .dl-horizontal dt {
    float: left;
    width: 160px;
    clear: left;
    text-align: right;
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
  }
  .dl-horizontal dd {
    margin-left: 180px;
  }
}
abbr[title],
abbr[data-original-title] {
  cursor: help;
}
.initialism {
  font-size: 90%;
  text-transform: uppercase;
}
blockquote {
  padding: 9px 18px;
  margin: 0 0 18px;
  font-size: inherit;
  border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
  margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
  display: block;
  font-size: 80%;
  line-height: 1.42857143;
  color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
  content: "\2014 \00A0";
}
.blockquote-reverse,
blockquote.pull-right {
  padding-right: 15px;
  padding-left: 0;
  text-align: right;
  border-right: 5px solid #eeeeee;
  border-left: 0;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
  content: "";
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
  content: "\00A0 \2014";
}
address {
  margin-bottom: 18px;
  font-style: normal;
  line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
  font-family: monospace;
}
code {
  padding: 2px 4px;
  font-size: 90%;
  color: #c7254e;
  background-color: #f9f2f4;
  border-radius: 2px;
}
kbd {
  padding: 2px 4px;
  font-size: 90%;
  color: #888888;
  background-color: transparent;
  border-radius: 1px;
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
  padding: 0;
  font-size: 100%;
  font-weight: 700;
  box-shadow: none;
}
pre {
  display: block;
  padding: 8.5px;
  margin: 0 0 9px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #333333;
  word-break: break-all;
  word-wrap: break-word;
  background-color: #f5f5f5;
  border: 1px solid #cccccc;
  border-radius: 2px;
}
pre code {
  padding: 0;
  font-size: inherit;
  color: inherit;
  white-space: pre-wrap;
  background-color: transparent;
  border-radius: 0;
}
.pre-scrollable {
  max-height: 340px;
  overflow-y: scroll;
}
.container {
  padding-right: 0px;
  padding-left: 0px;
  margin-right: auto;
  margin-left: auto;
}
@media (min-width: 768px) {
  .container {
    width: 768px;
  }
}
@media (min-width: 992px) {
  .container {
    width: 940px;
  }
}
@media (min-width: 1200px) {
  .container {
    width: 1140px;
  }
}
.container-fluid {
  padding-right: 0px;
  padding-left: 0px;
  margin-right: auto;
  margin-left: auto;
}
.row {
  margin-right: 0px;
  margin-left: 0px;
}
.row-no-gutters {
  margin-right: 0;
  margin-left: 0;
}
.row-no-gutters [class*="col-"] {
  padding-right: 0;
  padding-left: 0;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
  position: relative;
  min-height: 1px;
  padding-right: 0px;
  padding-left: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
  float: left;
}
.col-xs-12 {
  width: 100%;
}
.col-xs-11 {
  width: 91.66666667%;
}
.col-xs-10 {
  width: 83.33333333%;
}
.col-xs-9 {
  width: 75%;
}
.col-xs-8 {
  width: 66.66666667%;
}
.col-xs-7 {
  width: 58.33333333%;
}
.col-xs-6 {
  width: 50%;
}
.col-xs-5 {
  width: 41.66666667%;
}
.col-xs-4 {
  width: 33.33333333%;
}
.col-xs-3 {
  width: 25%;
}
.col-xs-2 {
  width: 16.66666667%;
}
.col-xs-1 {
  width: 8.33333333%;
}
.col-xs-pull-12 {
  right: 100%;
}
.col-xs-pull-11 {
  right: 91.66666667%;
}
.col-xs-pull-10 {
  right: 83.33333333%;
}
.col-xs-pull-9 {
  right: 75%;
}
.col-xs-pull-8 {
  right: 66.66666667%;
}
.col-xs-pull-7 {
  right: 58.33333333%;
}
.col-xs-pull-6 {
  right: 50%;
}
.col-xs-pull-5 {
  right: 41.66666667%;
}
.col-xs-pull-4 {
  right: 33.33333333%;
}
.col-xs-pull-3 {
  right: 25%;
}
.col-xs-pull-2 {
  right: 16.66666667%;
}
.col-xs-pull-1 {
  right: 8.33333333%;
}
.col-xs-pull-0 {
  right: auto;
}
.col-xs-push-12 {
  left: 100%;
}
.col-xs-push-11 {
  left: 91.66666667%;
}
.col-xs-push-10 {
  left: 83.33333333%;
}
.col-xs-push-9 {
  left: 75%;
}
.col-xs-push-8 {
  left: 66.66666667%;
}
.col-xs-push-7 {
  left: 58.33333333%;
}
.col-xs-push-6 {
  left: 50%;
}
.col-xs-push-5 {
  left: 41.66666667%;
}
.col-xs-push-4 {
  left: 33.33333333%;
}
.col-xs-push-3 {
  left: 25%;
}
.col-xs-push-2 {
  left: 16.66666667%;
}
.col-xs-push-1 {
  left: 8.33333333%;
}
.col-xs-push-0 {
  left: auto;
}
.col-xs-offset-12 {
  margin-left: 100%;
}
.col-xs-offset-11 {
  margin-left: 91.66666667%;
}
.col-xs-offset-10 {
  margin-left: 83.33333333%;
}
.col-xs-offset-9 {
  margin-left: 75%;
}
.col-xs-offset-8 {
  margin-left: 66.66666667%;
}
.col-xs-offset-7 {
  margin-left: 58.33333333%;
}
.col-xs-offset-6 {
  margin-left: 50%;
}
.col-xs-offset-5 {
  margin-left: 41.66666667%;
}
.col-xs-offset-4 {
  margin-left: 33.33333333%;
}
.col-xs-offset-3 {
  margin-left: 25%;
}
.col-xs-offset-2 {
  margin-left: 16.66666667%;
}
.col-xs-offset-1 {
  margin-left: 8.33333333%;
}
.col-xs-offset-0 {
  margin-left: 0%;
}
@media (min-width: 768px) {
  .col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
    float: left;
  }
  .col-sm-12 {
    width: 100%;
  }
  .col-sm-11 {
    width: 91.66666667%;
  }
  .col-sm-10 {
    width: 83.33333333%;
  }
  .col-sm-9 {
    width: 75%;
  }
  .col-sm-8 {
    width: 66.66666667%;
  }
  .col-sm-7 {
    width: 58.33333333%;
  }
  .col-sm-6 {
    width: 50%;
  }
  .col-sm-5 {
    width: 41.66666667%;
  }
  .col-sm-4 {
    width: 33.33333333%;
  }
  .col-sm-3 {
    width: 25%;
  }
  .col-sm-2 {
    width: 16.66666667%;
  }
  .col-sm-1 {
    width: 8.33333333%;
  }
  .col-sm-pull-12 {
    right: 100%;
  }
  .col-sm-pull-11 {
    right: 91.66666667%;
  }
  .col-sm-pull-10 {
    right: 83.33333333%;
  }
  .col-sm-pull-9 {
    right: 75%;
  }
  .col-sm-pull-8 {
    right: 66.66666667%;
  }
  .col-sm-pull-7 {
    right: 58.33333333%;
  }
  .col-sm-pull-6 {
    right: 50%;
  }
  .col-sm-pull-5 {
    right: 41.66666667%;
  }
  .col-sm-pull-4 {
    right: 33.33333333%;
  }
  .col-sm-pull-3 {
    right: 25%;
  }
  .col-sm-pull-2 {
    right: 16.66666667%;
  }
  .col-sm-pull-1 {
    right: 8.33333333%;
  }
  .col-sm-pull-0 {
    right: auto;
  }
  .col-sm-push-12 {
    left: 100%;
  }
  .col-sm-push-11 {
    left: 91.66666667%;
  }
  .col-sm-push-10 {
    left: 83.33333333%;
  }
  .col-sm-push-9 {
    left: 75%;
  }
  .col-sm-push-8 {
    left: 66.66666667%;
  }
  .col-sm-push-7 {
    left: 58.33333333%;
  }
  .col-sm-push-6 {
    left: 50%;
  }
  .col-sm-push-5 {
    left: 41.66666667%;
  }
  .col-sm-push-4 {
    left: 33.33333333%;
  }
  .col-sm-push-3 {
    left: 25%;
  }
  .col-sm-push-2 {
    left: 16.66666667%;
  }
  .col-sm-push-1 {
    left: 8.33333333%;
  }
  .col-sm-push-0 {
    left: auto;
  }
  .col-sm-offset-12 {
    margin-left: 100%;
  }
  .col-sm-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-sm-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-sm-offset-9 {
    margin-left: 75%;
  }
  .col-sm-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-sm-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-sm-offset-6 {
    margin-left: 50%;
  }
  .col-sm-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-sm-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-sm-offset-3 {
    margin-left: 25%;
  }
  .col-sm-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-sm-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-sm-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 992px) {
  .col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
    float: left;
  }
  .col-md-12 {
    width: 100%;
  }
  .col-md-11 {
    width: 91.66666667%;
  }
  .col-md-10 {
    width: 83.33333333%;
  }
  .col-md-9 {
    width: 75%;
  }
  .col-md-8 {
    width: 66.66666667%;
  }
  .col-md-7 {
    width: 58.33333333%;
  }
  .col-md-6 {
    width: 50%;
  }
  .col-md-5 {
    width: 41.66666667%;
  }
  .col-md-4 {
    width: 33.33333333%;
  }
  .col-md-3 {
    width: 25%;
  }
  .col-md-2 {
    width: 16.66666667%;
  }
  .col-md-1 {
    width: 8.33333333%;
  }
  .col-md-pull-12 {
    right: 100%;
  }
  .col-md-pull-11 {
    right: 91.66666667%;
  }
  .col-md-pull-10 {
    right: 83.33333333%;
  }
  .col-md-pull-9 {
    right: 75%;
  }
  .col-md-pull-8 {
    right: 66.66666667%;
  }
  .col-md-pull-7 {
    right: 58.33333333%;
  }
  .col-md-pull-6 {
    right: 50%;
  }
  .col-md-pull-5 {
    right: 41.66666667%;
  }
  .col-md-pull-4 {
    right: 33.33333333%;
  }
  .col-md-pull-3 {
    right: 25%;
  }
  .col-md-pull-2 {
    right: 16.66666667%;
  }
  .col-md-pull-1 {
    right: 8.33333333%;
  }
  .col-md-pull-0 {
    right: auto;
  }
  .col-md-push-12 {
    left: 100%;
  }
  .col-md-push-11 {
    left: 91.66666667%;
  }
  .col-md-push-10 {
    left: 83.33333333%;
  }
  .col-md-push-9 {
    left: 75%;
  }
  .col-md-push-8 {
    left: 66.66666667%;
  }
  .col-md-push-7 {
    left: 58.33333333%;
  }
  .col-md-push-6 {
    left: 50%;
  }
  .col-md-push-5 {
    left: 41.66666667%;
  }
  .col-md-push-4 {
    left: 33.33333333%;
  }
  .col-md-push-3 {
    left: 25%;
  }
  .col-md-push-2 {
    left: 16.66666667%;
  }
  .col-md-push-1 {
    left: 8.33333333%;
  }
  .col-md-push-0 {
    left: auto;
  }
  .col-md-offset-12 {
    margin-left: 100%;
  }
  .col-md-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-md-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-md-offset-9 {
    margin-left: 75%;
  }
  .col-md-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-md-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-md-offset-6 {
    margin-left: 50%;
  }
  .col-md-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-md-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-md-offset-3 {
    margin-left: 25%;
  }
  .col-md-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-md-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-md-offset-0 {
    margin-left: 0%;
  }
}
@media (min-width: 1200px) {
  .col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
    float: left;
  }
  .col-lg-12 {
    width: 100%;
  }
  .col-lg-11 {
    width: 91.66666667%;
  }
  .col-lg-10 {
    width: 83.33333333%;
  }
  .col-lg-9 {
    width: 75%;
  }
  .col-lg-8 {
    width: 66.66666667%;
  }
  .col-lg-7 {
    width: 58.33333333%;
  }
  .col-lg-6 {
    width: 50%;
  }
  .col-lg-5 {
    width: 41.66666667%;
  }
  .col-lg-4 {
    width: 33.33333333%;
  }
  .col-lg-3 {
    width: 25%;
  }
  .col-lg-2 {
    width: 16.66666667%;
  }
  .col-lg-1 {
    width: 8.33333333%;
  }
  .col-lg-pull-12 {
    right: 100%;
  }
  .col-lg-pull-11 {
    right: 91.66666667%;
  }
  .col-lg-pull-10 {
    right: 83.33333333%;
  }
  .col-lg-pull-9 {
    right: 75%;
  }
  .col-lg-pull-8 {
    right: 66.66666667%;
  }
  .col-lg-pull-7 {
    right: 58.33333333%;
  }
  .col-lg-pull-6 {
    right: 50%;
  }
  .col-lg-pull-5 {
    right: 41.66666667%;
  }
  .col-lg-pull-4 {
    right: 33.33333333%;
  }
  .col-lg-pull-3 {
    right: 25%;
  }
  .col-lg-pull-2 {
    right: 16.66666667%;
  }
  .col-lg-pull-1 {
    right: 8.33333333%;
  }
  .col-lg-pull-0 {
    right: auto;
  }
  .col-lg-push-12 {
    left: 100%;
  }
  .col-lg-push-11 {
    left: 91.66666667%;
  }
  .col-lg-push-10 {
    left: 83.33333333%;
  }
  .col-lg-push-9 {
    left: 75%;
  }
  .col-lg-push-8 {
    left: 66.66666667%;
  }
  .col-lg-push-7 {
    left: 58.33333333%;
  }
  .col-lg-push-6 {
    left: 50%;
  }
  .col-lg-push-5 {
    left: 41.66666667%;
  }
  .col-lg-push-4 {
    left: 33.33333333%;
  }
  .col-lg-push-3 {
    left: 25%;
  }
  .col-lg-push-2 {
    left: 16.66666667%;
  }
  .col-lg-push-1 {
    left: 8.33333333%;
  }
  .col-lg-push-0 {
    left: auto;
  }
  .col-lg-offset-12 {
    margin-left: 100%;
  }
  .col-lg-offset-11 {
    margin-left: 91.66666667%;
  }
  .col-lg-offset-10 {
    margin-left: 83.33333333%;
  }
  .col-lg-offset-9 {
    margin-left: 75%;
  }
  .col-lg-offset-8 {
    margin-left: 66.66666667%;
  }
  .col-lg-offset-7 {
    margin-left: 58.33333333%;
  }
  .col-lg-offset-6 {
    margin-left: 50%;
  }
  .col-lg-offset-5 {
    margin-left: 41.66666667%;
  }
  .col-lg-offset-4 {
    margin-left: 33.33333333%;
  }
  .col-lg-offset-3 {
    margin-left: 25%;
  }
  .col-lg-offset-2 {
    margin-left: 16.66666667%;
  }
  .col-lg-offset-1 {
    margin-left: 8.33333333%;
  }
  .col-lg-offset-0 {
    margin-left: 0%;
  }
}
table {
  background-color: transparent;
}
table col[class*="col-"] {
  position: static;
  display: table-column;
  float: none;
}
table td[class*="col-"],
table th[class*="col-"] {
  position: static;
  display: table-cell;
  float: none;
}
caption {
  padding-top: 8px;
  padding-bottom: 8px;
  color: #777777;
  text-align: left;
}
th {
  text-align: left;
}
.table {
  width: 100%;
  max-width: 100%;
  margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
  padding: 8px;
  line-height: 1.42857143;
  vertical-align: top;
  border-top: 1px solid #dddddd;
}
.table > thead > tr > th {
  vertical-align: bottom;
  border-bottom: 2px solid #dddddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
  border-top: 0;
}
.table > tbody + tbody {
  border-top: 2px solid #dddddd;
}
.table .table {
  background-color: #ffffff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
  padding: 5px;
}
.table-bordered {
  border: 1px solid #dddddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
  border: 1px solid #dddddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
  border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
  background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
  background-color: #f5f5f5;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
  background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
  background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
  background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
  background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
  background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
  background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
  background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
  background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
  background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
  background-color: #ebcccc;
}
.table-responsive {
  min-height: .01%;
  overflow-x: auto;
}
@media screen and (max-width: 767px) {
  .table-responsive {
    width: 100%;
    margin-bottom: 13.5px;
    overflow-y: hidden;
    -ms-overflow-style: -ms-autohiding-scrollbar;
    border: 1px solid #dddddd;
  }
  .table-responsive > .table {
    margin-bottom: 0;
  }
  .table-responsive > .table > thead > tr > th,
  .table-responsive > .table > tbody > tr > th,
  .table-responsive > .table > tfoot > tr > th,
  .table-responsive > .table > thead > tr > td,
  .table-responsive > .table > tbody > tr > td,
  .table-responsive > .table > tfoot > tr > td {
    white-space: nowrap;
  }
  .table-responsive > .table-bordered {
    border: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:first-child,
  .table-responsive > .table-bordered > tbody > tr > th:first-child,
  .table-responsive > .table-bordered > tfoot > tr > th:first-child,
  .table-responsive > .table-bordered > thead > tr > td:first-child,
  .table-responsive > .table-bordered > tbody > tr > td:first-child,
  .table-responsive > .table-bordered > tfoot > tr > td:first-child {
    border-left: 0;
  }
  .table-responsive > .table-bordered > thead > tr > th:last-child,
  .table-responsive > .table-bordered > tbody > tr > th:last-child,
  .table-responsive > .table-bordered > tfoot > tr > th:last-child,
  .table-responsive > .table-bordered > thead > tr > td:last-child,
  .table-responsive > .table-bordered > tbody > tr > td:last-child,
  .table-responsive > .table-bordered > tfoot > tr > td:last-child {
    border-right: 0;
  }
  .table-responsive > .table-bordered > tbody > tr:last-child > th,
  .table-responsive > .table-bordered > tfoot > tr:last-child > th,
  .table-responsive > .table-bordered > tbody > tr:last-child > td,
  .table-responsive > .table-bordered > tfoot > tr:last-child > td {
    border-bottom: 0;
  }
}
fieldset {
  min-width: 0;
  padding: 0;
  margin: 0;
  border: 0;
}
legend {
  display: block;
  width: 100%;
  padding: 0;
  margin-bottom: 18px;
  font-size: 19.5px;
  line-height: inherit;
  color: #333333;
  border: 0;
  border-bottom: 1px solid #e5e5e5;
}
label {
  display: inline-block;
  max-width: 100%;
  margin-bottom: 5px;
  font-weight: 700;
}
input[type="search"] {
  -webkit-box-sizing: border-box;
  -moz-box-sizing: border-box;
  box-sizing: border-box;
  -webkit-appearance: none;
  appearance: none;
}
input[type="radio"],
input[type="checkbox"] {
  margin: 4px 0 0;
  margin-top: 1px \9;
  line-height: normal;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
  cursor: not-allowed;
}
input[type="file"] {
  display: block;
}
input[type="range"] {
  display: block;
  width: 100%;
}
select[multiple],
select[size] {
  height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
output {
  display: block;
  padding-top: 7px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
}
.form-control {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
  color: #999999;
  opacity: 1;
}
.form-control:-ms-input-placeholder {
  color: #999999;
}
.form-control::-webkit-input-placeholder {
  color: #999999;
}
.form-control::-ms-expand {
  background-color: transparent;
  border: 0;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
  background-color: #eeeeee;
  opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
  cursor: not-allowed;
}
textarea.form-control {
  height: auto;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
  input[type="date"].form-control,
  input[type="time"].form-control,
  input[type="datetime-local"].form-control,
  input[type="month"].form-control {
    line-height: 32px;
  }
  input[type="date"].input-sm,
  input[type="time"].input-sm,
  input[type="datetime-local"].input-sm,
  input[type="month"].input-sm,
  .input-group-sm input[type="date"],
  .input-group-sm input[type="time"],
  .input-group-sm input[type="datetime-local"],
  .input-group-sm input[type="month"] {
    line-height: 30px;
  }
  input[type="date"].input-lg,
  input[type="time"].input-lg,
  input[type="datetime-local"].input-lg,
  input[type="month"].input-lg,
  .input-group-lg input[type="date"],
  .input-group-lg input[type="time"],
  .input-group-lg input[type="datetime-local"],
  .input-group-lg input[type="month"] {
    line-height: 45px;
  }
}
.form-group {
  margin-bottom: 15px;
}
.radio,
.checkbox {
  position: relative;
  display: block;
  margin-top: 10px;
  margin-bottom: 10px;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
  cursor: not-allowed;
}
.radio label,
.checkbox label {
  min-height: 18px;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: 400;
  cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
  position: absolute;
  margin-top: 4px \9;
  margin-left: -20px;
}
.radio + .radio,
.checkbox + .checkbox {
  margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
  position: relative;
  display: inline-block;
  padding-left: 20px;
  margin-bottom: 0;
  font-weight: 400;
  vertical-align: middle;
  cursor: pointer;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
  cursor: not-allowed;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
  margin-top: 0;
  margin-left: 10px;
}
.form-control-static {
  min-height: 31px;
  padding-top: 7px;
  padding-bottom: 7px;
  margin-bottom: 0;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
  padding-right: 0;
  padding-left: 0;
}
.input-sm {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-sm {
  height: 30px;
  line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
  height: auto;
}
.form-group-sm .form-control {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.form-group-sm select.form-control {
  height: 30px;
  line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
  height: auto;
}
.form-group-sm .form-control-static {
  height: 30px;
  min-height: 30px;
  padding: 6px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.input-lg {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-lg {
  height: 45px;
  line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
  height: auto;
}
.form-group-lg .form-control {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.form-group-lg select.form-control {
  height: 45px;
  line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
  height: auto;
}
.form-group-lg .form-control-static {
  height: 45px;
  min-height: 35px;
  padding: 11px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.has-feedback {
  position: relative;
}
.has-feedback .form-control {
  padding-right: 40px;
}
.form-control-feedback {
  position: absolute;
  top: 0;
  right: 0;
  z-index: 2;
  display: block;
  width: 32px;
  height: 32px;
  line-height: 32px;
  text-align: center;
  pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
  width: 45px;
  height: 45px;
  line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
  width: 30px;
  height: 30px;
  line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
  color: #3c763d;
}
.has-success .form-control {
  border-color: #3c763d;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
  border-color: #2b542c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #3c763d;
}
.has-success .form-control-feedback {
  color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
  color: #8a6d3b;
}
.has-warning .form-control {
  border-color: #8a6d3b;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
  border-color: #66512c;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #8a6d3b;
}
.has-warning .form-control-feedback {
  color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
  color: #a94442;
}
.has-error .form-control {
  border-color: #a94442;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
  border-color: #843534;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
  color: #a94442;
  background-color: #f2dede;
  border-color: #a94442;
}
.has-error .form-control-feedback {
  color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
  top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
  top: 0;
}
.help-block {
  display: block;
  margin-top: 5px;
  margin-bottom: 10px;
  color: #404040;
}
@media (min-width: 768px) {
  .form-inline .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .form-inline .form-control-static {
    display: inline-block;
  }
  .form-inline .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .form-inline .input-group .input-group-addon,
  .form-inline .input-group .input-group-btn,
  .form-inline .input-group .form-control {
    width: auto;
  }
  .form-inline .input-group > .form-control {
    width: 100%;
  }
  .form-inline .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio,
  .form-inline .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .form-inline .radio label,
  .form-inline .checkbox label {
    padding-left: 0;
  }
  .form-inline .radio input[type="radio"],
  .form-inline .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .form-inline .has-feedback .form-control-feedback {
    top: 0;
  }
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
  padding-top: 7px;
  margin-top: 0;
  margin-bottom: 0;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
  min-height: 25px;
}
.form-horizontal .form-group {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .control-label {
    padding-top: 7px;
    margin-bottom: 0;
    text-align: right;
  }
}
.form-horizontal .has-feedback .form-control-feedback {
  right: 0px;
}
@media (min-width: 768px) {
  .form-horizontal .form-group-lg .control-label {
    padding-top: 11px;
    font-size: 17px;
  }
}
@media (min-width: 768px) {
  .form-horizontal .form-group-sm .control-label {
    padding-top: 6px;
    font-size: 12px;
  }
}
.btn {
  display: inline-block;
  margin-bottom: 0;
  font-weight: normal;
  text-align: center;
  white-space: nowrap;
  vertical-align: middle;
  touch-action: manipulation;
  cursor: pointer;
  background-image: none;
  border: 1px solid transparent;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  border-radius: 2px;
  -webkit-user-select: none;
  -moz-user-select: none;
  -ms-user-select: none;
  user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
  outline: 5px auto -webkit-focus-ring-color;
  outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
  color: #333333;
  text-decoration: none;
}
.btn:active,
.btn.active {
  background-image: none;
  outline: 0;
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
  cursor: not-allowed;
  filter: alpha(opacity=65);
  opacity: 0.65;
  -webkit-box-shadow: none;
  box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
  pointer-events: none;
}
.btn-default {
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
}
.btn-default:focus,
.btn-default.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.btn-default:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
  color: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
  background-color: #ffffff;
  border-color: #cccccc;
}
.btn-default .badge {
  color: #ffffff;
  background-color: #333333;
}
.btn-primary {
  color: #ffffff;
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
  color: #ffffff;
  background-color: #286090;
  border-color: #122b40;
}
.btn-primary:hover {
  color: #ffffff;
  background-color: #286090;
  border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
  color: #ffffff;
  background-color: #286090;
  background-image: none;
  border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
  color: #ffffff;
  background-color: #204d74;
  border-color: #122b40;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
  background-color: #337ab7;
  border-color: #2e6da4;
}
.btn-primary .badge {
  color: #337ab7;
  background-color: #ffffff;
}
.btn-success {
  color: #ffffff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
  color: #ffffff;
  background-color: #449d44;
  border-color: #255625;
}
.btn-success:hover {
  color: #ffffff;
  background-color: #449d44;
  border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
  color: #ffffff;
  background-color: #449d44;
  background-image: none;
  border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
  color: #ffffff;
  background-color: #398439;
  border-color: #255625;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.btn-success .badge {
  color: #5cb85c;
  background-color: #ffffff;
}
.btn-info {
  color: #ffffff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.btn-info:hover {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
  color: #ffffff;
  background-color: #31b0d5;
  background-image: none;
  border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
  color: #ffffff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.btn-info .badge {
  color: #5bc0de;
  background-color: #ffffff;
}
.btn-warning {
  color: #ffffff;
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.btn-warning:hover {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
  color: #ffffff;
  background-color: #ec971f;
  background-image: none;
  border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
  color: #ffffff;
  background-color: #d58512;
  border-color: #985f0d;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.btn-warning .badge {
  color: #f0ad4e;
  background-color: #ffffff;
}
.btn-danger {
  color: #ffffff;
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #761c19;
}
.btn-danger:hover {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
  color: #ffffff;
  background-color: #c9302c;
  background-image: none;
  border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
  color: #ffffff;
  background-color: #ac2925;
  border-color: #761c19;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.btn-danger .badge {
  color: #d9534f;
  background-color: #ffffff;
}
.btn-link {
  font-weight: 400;
  color: #296eaa;
  border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
  background-color: transparent;
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
  border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
  color: #1a466c;
  text-decoration: underline;
  background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
  color: #777777;
  text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
  padding: 1px 5px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
.btn-block {
  display: block;
  width: 100%;
}
.btn-block + .btn-block {
  margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
  width: 100%;
}
.fade {
  opacity: 0;
  -webkit-transition: opacity 0.15s linear;
  -o-transition: opacity 0.15s linear;
  transition: opacity 0.15s linear;
}
.fade.in {
  opacity: 1;
}
.collapse {
  display: none;
}
.collapse.in {
  display: block;
}
tr.collapse.in {
  display: table-row;
}
tbody.collapse.in {
  display: table-row-group;
}
.collapsing {
  position: relative;
  height: 0;
  overflow: hidden;
  -webkit-transition-property: height, visibility;
  transition-property: height, visibility;
  -webkit-transition-duration: 0.35s;
  transition-duration: 0.35s;
  -webkit-transition-timing-function: ease;
  transition-timing-function: ease;
}
.caret {
  display: inline-block;
  width: 0;
  height: 0;
  margin-left: 2px;
  vertical-align: middle;
  border-top: 4px dashed;
  border-top: 4px solid \9;
  border-right: 4px solid transparent;
  border-left: 4px solid transparent;
}
.dropup,
.dropdown {
  position: relative;
}
.dropdown-toggle:focus {
  outline: 0;
}
.dropdown-menu {
  position: absolute;
  top: 100%;
  left: 0;
  z-index: 1000;
  display: none;
  float: left;
  min-width: 160px;
  padding: 5px 0;
  margin: 2px 0 0;
  font-size: 13px;
  text-align: left;
  list-style: none;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #cccccc;
  border: 1px solid rgba(0, 0, 0, 0.15);
  border-radius: 2px;
  -webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
  box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
}
.dropdown-menu.pull-right {
  right: 0;
  left: auto;
}
.dropdown-menu .divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.dropdown-menu > li > a {
  display: block;
  padding: 3px 20px;
  clear: both;
  font-weight: 400;
  line-height: 1.42857143;
  color: #333333;
  white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
  color: #262626;
  text-decoration: none;
  background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
  color: #ffffff;
  text-decoration: none;
  background-color: #337ab7;
  outline: 0;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
  text-decoration: none;
  cursor: not-allowed;
  background-color: transparent;
  background-image: none;
  filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
}
.open > .dropdown-menu {
  display: block;
}
.open > a {
  outline: 0;
}
.dropdown-menu-right {
  right: 0;
  left: auto;
}
.dropdown-menu-left {
  right: auto;
  left: 0;
}
.dropdown-header {
  display: block;
  padding: 3px 20px;
  font-size: 12px;
  line-height: 1.42857143;
  color: #777777;
  white-space: nowrap;
}
.dropdown-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 990;
}
.pull-right > .dropdown-menu {
  right: 0;
  left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
  content: "";
  border-top: 0;
  border-bottom: 4px dashed;
  border-bottom: 4px solid \9;
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
  top: auto;
  bottom: 100%;
  margin-bottom: 2px;
}
@media (min-width: 541px) {
  .navbar-right .dropdown-menu {
    right: 0;
    left: auto;
  }
  .navbar-right .dropdown-menu-left {
    right: auto;
    left: 0;
  }
}
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
  position: relative;
  float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
  z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
  margin-left: -1px;
}
.btn-toolbar {
  margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
  float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
  margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}
.btn-group > .btn:first-child {
  margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
  border-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  border-top-left-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-left-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
  padding-right: 8px;
  padding-left: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-right: 12px;
  padding-left: 12px;
}
.btn-group.open .dropdown-toggle {
  -webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
  box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
  -webkit-box-shadow: none;
  box-shadow: none;
}
.btn .caret {
  margin-left: 0;
}
.btn-lg .caret {
  border-width: 5px 5px 0;
  border-bottom-width: 0;
}
.dropup .btn-lg .caret {
  border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
  display: block;
  float: none;
  width: 100%;
  max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
  float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
  margin-top: -1px;
  margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
  border-top-left-radius: 2px;
  border-top-right-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
  border-top-left-radius: 0;
  border-top-right-radius: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
  display: table-cell;
  float: none;
  width: 1%;
}
.btn-group-justified > .btn-group .btn {
  width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
  left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
  position: absolute;
  clip: rect(0, 0, 0, 0);
  pointer-events: none;
}
.input-group {
  position: relative;
  display: table;
  border-collapse: separate;
}
.input-group[class*="col-"] {
  float: none;
  padding-right: 0;
  padding-left: 0;
}
.input-group .form-control {
  position: relative;
  z-index: 2;
  float: left;
  width: 100%;
  margin-bottom: 0;
}
.input-group .form-control:focus {
  z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
  border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
  height: 45px;
  line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
  height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
  height: 30px;
  line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
  height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
  display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
  border-radius: 0;
}
.input-group-addon,
.input-group-btn {
  width: 1%;
  white-space: nowrap;
  vertical-align: middle;
}
.input-group-addon {
  padding: 6px 12px;
  font-size: 13px;
  font-weight: 400;
  line-height: 1;
  color: #555555;
  text-align: center;
  background-color: #eeeeee;
  border: 1px solid #cccccc;
  border-radius: 2px;
}
.input-group-addon.input-sm {
  padding: 5px 10px;
  font-size: 12px;
  border-radius: 1px;
}
.input-group-addon.input-lg {
  padding: 10px 16px;
  font-size: 17px;
  border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
  margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
  border-top-right-radius: 0;
  border-bottom-right-radius: 0;
}
.input-group-addon:first-child {
  border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
  border-top-left-radius: 0;
  border-bottom-left-radius: 0;
}
.input-group-addon:last-child {
  border-left: 0;
}
.input-group-btn {
  position: relative;
  font-size: 0;
  white-space: nowrap;
}
.input-group-btn > .btn {
  position: relative;
}
.input-group-btn > .btn + .btn {
  margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
  z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
  margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
  z-index: 2;
  margin-left: -1px;
}
.nav {
  padding-left: 0;
  margin-bottom: 0;
  list-style: none;
}
.nav > li {
  position: relative;
  display: block;
}
.nav > li > a {
  position: relative;
  display: block;
  padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.nav > li.disabled > a {
  color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
  color: #777777;
  text-decoration: none;
  cursor: not-allowed;
  background-color: transparent;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
  background-color: #eeeeee;
  border-color: #296eaa;
}
.nav .nav-divider {
  height: 1px;
  margin: 8px 0;
  overflow: hidden;
  background-color: #e5e5e5;
}
.nav > li > a > img {
  max-width: none;
}
.nav-tabs {
  border-bottom: 1px solid #dddddd;
}
.nav-tabs > li {
  float: left;
  margin-bottom: -1px;
}
.nav-tabs > li > a {
  margin-right: 2px;
  line-height: 1.42857143;
  border: 1px solid transparent;
  border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
  border-color: #eeeeee #eeeeee #dddddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
  color: #555555;
  cursor: default;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-bottom-color: transparent;
}
.nav-tabs.nav-justified {
  width: 100%;
  border-bottom: 0;
}
.nav-tabs.nav-justified > li {
  float: none;
}
.nav-tabs.nav-justified > li > a {
  margin-bottom: 5px;
  text-align: center;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-tabs.nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs.nav-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
  border: 1px solid #dddddd;
}
@media (min-width: 768px) {
  .nav-tabs.nav-justified > li > a {
    border-bottom: 1px solid #dddddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs.nav-justified > .active > a,
  .nav-tabs.nav-justified > .active > a:hover,
  .nav-tabs.nav-justified > .active > a:focus {
    border-bottom-color: #ffffff;
  }
}
.nav-pills > li {
  float: left;
}
.nav-pills > li > a {
  border-radius: 2px;
}
.nav-pills > li + li {
  margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
  color: #ffffff;
  background-color: #337ab7;
}
.nav-stacked > li {
  float: none;
}
.nav-stacked > li + li {
  margin-top: 2px;
  margin-left: 0;
}
.nav-justified {
  width: 100%;
}
.nav-justified > li {
  float: none;
}
.nav-justified > li > a {
  margin-bottom: 5px;
  text-align: center;
}
.nav-justified > .dropdown .dropdown-menu {
  top: auto;
  left: auto;
}
@media (min-width: 768px) {
  .nav-justified > li {
    display: table-cell;
    width: 1%;
  }
  .nav-justified > li > a {
    margin-bottom: 0;
  }
}
.nav-tabs-justified {
  border-bottom: 0;
}
.nav-tabs-justified > li > a {
  margin-right: 0;
  border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
  border: 1px solid #dddddd;
}
@media (min-width: 768px) {
  .nav-tabs-justified > li > a {
    border-bottom: 1px solid #dddddd;
    border-radius: 2px 2px 0 0;
  }
  .nav-tabs-justified > .active > a,
  .nav-tabs-justified > .active > a:hover,
  .nav-tabs-justified > .active > a:focus {
    border-bottom-color: #ffffff;
  }
}
.tab-content > .tab-pane {
  display: none;
}
.tab-content > .active {
  display: block;
}
.nav-tabs .dropdown-menu {
  margin-top: -1px;
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.navbar {
  position: relative;
  min-height: 30px;
  margin-bottom: 18px;
  border: 1px solid transparent;
}
@media (min-width: 541px) {
  .navbar {
    border-radius: 2px;
  }
}
@media (min-width: 541px) {
  .navbar-header {
    float: left;
  }
}
.navbar-collapse {
  padding-right: 0px;
  padding-left: 0px;
  overflow-x: visible;
  border-top: 1px solid transparent;
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
  -webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
  overflow-y: auto;
}
@media (min-width: 541px) {
  .navbar-collapse {
    width: auto;
    border-top: 0;
    box-shadow: none;
  }
  .navbar-collapse.collapse {
    display: block !important;
    height: auto !important;
    padding-bottom: 0;
    overflow: visible !important;
  }
  .navbar-collapse.in {
    overflow-y: visible;
  }
  .navbar-fixed-top .navbar-collapse,
  .navbar-static-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    padding-right: 0;
    padding-left: 0;
  }
}
.navbar-fixed-top,
.navbar-fixed-bottom {
  position: fixed;
  right: 0;
  left: 0;
  z-index: 1030;
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
  max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
  .navbar-fixed-top .navbar-collapse,
  .navbar-fixed-bottom .navbar-collapse {
    max-height: 200px;
  }
}
@media (min-width: 541px) {
  .navbar-fixed-top,
  .navbar-fixed-bottom {
    border-radius: 0;
  }
}
.navbar-fixed-top {
  top: 0;
  border-width: 0 0 1px;
}
.navbar-fixed-bottom {
  bottom: 0;
  margin-bottom: 0;
  border-width: 1px 0 0;
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
  margin-right: 0px;
  margin-left: 0px;
}
@media (min-width: 541px) {
  .container > .navbar-header,
  .container-fluid > .navbar-header,
  .container > .navbar-collapse,
  .container-fluid > .navbar-collapse {
    margin-right: 0;
    margin-left: 0;
  }
}
.navbar-static-top {
  z-index: 1000;
  border-width: 0 0 1px;
}
@media (min-width: 541px) {
  .navbar-static-top {
    border-radius: 0;
  }
}
.navbar-brand {
  float: left;
  height: 30px;
  padding: 6px 0px;
  font-size: 17px;
  line-height: 18px;
}
.navbar-brand:hover,
.navbar-brand:focus {
  text-decoration: none;
}
.navbar-brand > img {
  display: block;
}
@media (min-width: 541px) {
  .navbar > .container .navbar-brand,
  .navbar > .container-fluid .navbar-brand {
    margin-left: 0px;
  }
}
.navbar-toggle {
  position: relative;
  float: right;
  padding: 9px 10px;
  margin-right: 0px;
  margin-top: -2px;
  margin-bottom: -2px;
  background-color: transparent;
  background-image: none;
  border: 1px solid transparent;
  border-radius: 2px;
}
.navbar-toggle:focus {
  outline: 0;
}
.navbar-toggle .icon-bar {
  display: block;
  width: 22px;
  height: 2px;
  border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
  margin-top: 4px;
}
@media (min-width: 541px) {
  .navbar-toggle {
    display: none;
  }
}
.navbar-nav {
  margin: 3px 0px;
}
.navbar-nav > li > a {
  padding-top: 10px;
  padding-bottom: 10px;
  line-height: 18px;
}
@media (max-width: 540px) {
  .navbar-nav .open .dropdown-menu {
    position: static;
    float: none;
    width: auto;
    margin-top: 0;
    background-color: transparent;
    border: 0;
    box-shadow: none;
  }
  .navbar-nav .open .dropdown-menu > li > a,
  .navbar-nav .open .dropdown-menu .dropdown-header {
    padding: 5px 15px 5px 25px;
  }
  .navbar-nav .open .dropdown-menu > li > a {
    line-height: 18px;
  }
  .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-nav .open .dropdown-menu > li > a:focus {
    background-image: none;
  }
}
@media (min-width: 541px) {
  .navbar-nav {
    float: left;
    margin: 0;
  }
  .navbar-nav > li {
    float: left;
  }
  .navbar-nav > li > a {
    padding-top: 6px;
    padding-bottom: 6px;
  }
}
.navbar-form {
  padding: 10px 0px;
  margin-right: 0px;
  margin-left: 0px;
  border-top: 1px solid transparent;
  border-bottom: 1px solid transparent;
  -webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
  margin-top: -1px;
  margin-bottom: -1px;
}
@media (min-width: 768px) {
  .navbar-form .form-group {
    display: inline-block;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .form-control {
    display: inline-block;
    width: auto;
    vertical-align: middle;
  }
  .navbar-form .form-control-static {
    display: inline-block;
  }
  .navbar-form .input-group {
    display: inline-table;
    vertical-align: middle;
  }
  .navbar-form .input-group .input-group-addon,
  .navbar-form .input-group .input-group-btn,
  .navbar-form .input-group .form-control {
    width: auto;
  }
  .navbar-form .input-group > .form-control {
    width: 100%;
  }
  .navbar-form .control-label {
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio,
  .navbar-form .checkbox {
    display: inline-block;
    margin-top: 0;
    margin-bottom: 0;
    vertical-align: middle;
  }
  .navbar-form .radio label,
  .navbar-form .checkbox label {
    padding-left: 0;
  }
  .navbar-form .radio input[type="radio"],
  .navbar-form .checkbox input[type="checkbox"] {
    position: relative;
    margin-left: 0;
  }
  .navbar-form .has-feedback .form-control-feedback {
    top: 0;
  }
}
@media (max-width: 540px) {
  .navbar-form .form-group {
    margin-bottom: 5px;
  }
  .navbar-form .form-group:last-child {
    margin-bottom: 0;
  }
}
@media (min-width: 541px) {
  .navbar-form {
    width: auto;
    padding-top: 0;
    padding-bottom: 0;
    margin-right: 0;
    margin-left: 0;
    border: 0;
    -webkit-box-shadow: none;
    box-shadow: none;
  }
}
.navbar-nav > li > .dropdown-menu {
  margin-top: 0;
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
  margin-bottom: 0;
  border-top-left-radius: 2px;
  border-top-right-radius: 2px;
  border-bottom-right-radius: 0;
  border-bottom-left-radius: 0;
}
.navbar-btn {
  margin-top: -1px;
  margin-bottom: -1px;
}
.navbar-btn.btn-sm {
  margin-top: 0px;
  margin-bottom: 0px;
}
.navbar-btn.btn-xs {
  margin-top: 4px;
  margin-bottom: 4px;
}
.navbar-text {
  margin-top: 6px;
  margin-bottom: 6px;
}
@media (min-width: 541px) {
  .navbar-text {
    float: left;
    margin-right: 0px;
    margin-left: 0px;
  }
}
@media (min-width: 541px) {
  .navbar-left {
    float: left !important;
    float: left;
  }
  .navbar-right {
    float: right !important;
    float: right;
    margin-right: 0px;
  }
  .navbar-right ~ .navbar-right {
    margin-right: 0;
  }
}
.navbar-default {
  background-color: #f8f8f8;
  border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
  color: #565656;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
  color: #3c3c3c;
  background-color: transparent;
}
.navbar-default .navbar-text {
  color: #777777;
}
.navbar-default .navbar-nav > li > a {
  color: #565656;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
  color: #333333;
  background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  color: #555555;
  background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
  color: #cccccc;
  background-color: transparent;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
  color: #555555;
  background-color: #e7e7e7;
}
@media (max-width: 540px) {
  .navbar-default .navbar-nav .open .dropdown-menu > li > a {
    color: #565656;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #333333;
    background-color: transparent;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #555555;
    background-color: #e7e7e7;
  }
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #cccccc;
    background-color: transparent;
  }
}
.navbar-default .navbar-toggle {
  border-color: #dddddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
  background-color: #dddddd;
}
.navbar-default .navbar-toggle .icon-bar {
  background-color: #888888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
  border-color: #e7e7e7;
}
.navbar-default .navbar-link {
  color: #565656;
}
.navbar-default .navbar-link:hover {
  color: #333333;
}
.navbar-default .btn-link {
  color: #565656;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
  color: #333333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
  color: #cccccc;
}
.navbar-inverse {
  background-color: #222222;
  border-color: #080808;
}
.navbar-inverse .navbar-brand {
  color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
  color: #ffffff;
  background-color: transparent;
}
.navbar-inverse .navbar-text {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
  color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
  color: #ffffff;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
  color: #ffffff;
  background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
  color: #444444;
  background-color: transparent;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
  color: #ffffff;
  background-color: #080808;
}
@media (max-width: 540px) {
  .navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
    border-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu .divider {
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
    color: #9d9d9d;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
    color: #ffffff;
    background-color: transparent;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
    color: #ffffff;
    background-color: #080808;
  }
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
  .navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
    color: #444444;
    background-color: transparent;
  }
}
.navbar-inverse .navbar-toggle {
  border-color: #333333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
  background-color: #333333;
}
.navbar-inverse .navbar-toggle .icon-bar {
  background-color: #ffffff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
  border-color: #101010;
}
.navbar-inverse .navbar-link {
  color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
  color: #ffffff;
}
.navbar-inverse .btn-link {
  color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
  color: #ffffff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
  color: #444444;
}
.breadcrumb {
  padding: 8px 15px;
  margin-bottom: 18px;
  list-style: none;
  background-color: #f5f5f5;
  border-radius: 2px;
}
.breadcrumb > li {
  display: inline-block;
}
.breadcrumb > li + li:before {
  padding: 0 5px;
  color: #5e5e5e;
  content: "/\00a0";
}
.breadcrumb > .active {
  color: #777777;
}
.pagination {
  display: inline-block;
  padding-left: 0;
  margin: 18px 0;
  border-radius: 2px;
}
.pagination > li {
  display: inline;
}
.pagination > li > a,
.pagination > li > span {
  position: relative;
  float: left;
  padding: 6px 12px;
  margin-left: -1px;
  line-height: 1.42857143;
  color: #296eaa;
  text-decoration: none;
  background-color: #ffffff;
  border: 1px solid #dddddd;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
  z-index: 2;
  color: #1a466c;
  background-color: #eeeeee;
  border-color: #dddddd;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
  margin-left: 0;
  border-top-left-radius: 2px;
  border-bottom-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
  border-top-right-radius: 2px;
  border-bottom-right-radius: 2px;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
  z-index: 3;
  color: #ffffff;
  cursor: default;
  background-color: #337ab7;
  border-color: #337ab7;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
  color: #777777;
  cursor: not-allowed;
  background-color: #ffffff;
  border-color: #dddddd;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
  padding: 10px 16px;
  font-size: 17px;
  line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
  border-top-left-radius: 3px;
  border-bottom-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
  border-top-right-radius: 3px;
  border-bottom-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
  border-top-left-radius: 1px;
  border-bottom-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
  border-top-right-radius: 1px;
  border-bottom-right-radius: 1px;
}
.pager {
  padding-left: 0;
  margin: 18px 0;
  text-align: center;
  list-style: none;
}
.pager li {
  display: inline;
}
.pager li > a,
.pager li > span {
  display: inline-block;
  padding: 5px 14px;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
  text-decoration: none;
  background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
  float: right;
}
.pager .previous > a,
.pager .previous > span {
  float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
  color: #777777;
  cursor: not-allowed;
  background-color: #ffffff;
}
.label {
  display: inline;
  padding: .2em .6em .3em;
  font-size: 75%;
  font-weight: 700;
  line-height: 1;
  color: #ffffff;
  text-align: center;
  white-space: nowrap;
  vertical-align: baseline;
  border-radius: .25em;
}
a.label:hover,
a.label:focus {
  color: #ffffff;
  text-decoration: none;
  cursor: pointer;
}
.label:empty {
  display: none;
}
.btn .label {
  position: relative;
  top: -1px;
}
.label-default {
  background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
  background-color: #5e5e5e;
}
.label-primary {
  background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
  background-color: #286090;
}
.label-success {
  background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
  background-color: #449d44;
}
.label-info {
  background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
  background-color: #31b0d5;
}
.label-warning {
  background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
  background-color: #ec971f;
}
.label-danger {
  background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
  background-color: #c9302c;
}
.badge {
  display: inline-block;
  min-width: 10px;
  padding: 3px 7px;
  font-size: 12px;
  font-weight: bold;
  line-height: 1;
  color: #ffffff;
  text-align: center;
  white-space: nowrap;
  vertical-align: middle;
  background-color: #777777;
  border-radius: 10px;
}
.badge:empty {
  display: none;
}
.btn .badge {
  position: relative;
  top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
  top: 0;
  padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
  color: #ffffff;
  text-decoration: none;
  cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
  color: #296eaa;
  background-color: #ffffff;
}
.list-group-item > .badge {
  float: right;
}
.list-group-item > .badge + .badge {
  margin-right: 5px;
}
.nav-pills > li > a > .badge {
  margin-left: 3px;
}
.jumbotron {
  padding-top: 30px;
  padding-bottom: 30px;
  margin-bottom: 30px;
  color: inherit;
  background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
  color: inherit;
}
.jumbotron p {
  margin-bottom: 15px;
  font-size: 20px;
  font-weight: 200;
}
.jumbotron > hr {
  border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
  padding-right: 0px;
  padding-left: 0px;
  border-radius: 3px;
}
.jumbotron .container {
  max-width: 100%;
}
@media screen and (min-width: 768px) {
  .jumbotron {
    padding-top: 48px;
    padding-bottom: 48px;
  }
  .container .jumbotron,
  .container-fluid .jumbotron {
    padding-right: 60px;
    padding-left: 60px;
  }
  .jumbotron h1,
  .jumbotron .h1 {
    font-size: 59px;
  }
}
.thumbnail {
  display: block;
  padding: 4px;
  margin-bottom: 18px;
  line-height: 1.42857143;
  background-color: #ffffff;
  border: 1px solid #dddddd;
  border-radius: 2px;
  -webkit-transition: border 0.2s ease-in-out;
  -o-transition: border 0.2s ease-in-out;
  transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
  margin-right: auto;
  margin-left: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
  border-color: #296eaa;
}
.thumbnail .caption {
  padding: 9px;
  color: #000000;
}
.alert {
  padding: 15px;
  margin-bottom: 18px;
  border: 1px solid transparent;
  border-radius: 2px;
}
.alert h4 {
  margin-top: 0;
  color: inherit;
}
.alert .alert-link {
  font-weight: bold;
}
.alert > p,
.alert > ul {
  margin-bottom: 0;
}
.alert > p + p {
  margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
  padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
  position: relative;
  top: -2px;
  right: -21px;
  color: inherit;
}
.alert-success {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.alert-success hr {
  border-top-color: #c9e2b3;
}
.alert-success .alert-link {
  color: #2b542c;
}
.alert-info {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.alert-info hr {
  border-top-color: #a6e1ec;
}
.alert-info .alert-link {
  color: #245269;
}
.alert-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.alert-warning hr {
  border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
  color: #66512c;
}
.alert-danger {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.alert-danger hr {
  border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
  color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
@keyframes progress-bar-stripes {
  from {
    background-position: 40px 0;
  }
  to {
    background-position: 0 0;
  }
}
.progress {
  height: 18px;
  margin-bottom: 18px;
  overflow: hidden;
  background-color: #f5f5f5;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
  box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
  float: left;
  width: 0%;
  height: 100%;
  font-size: 12px;
  line-height: 18px;
  color: #ffffff;
  text-align: center;
  background-color: #337ab7;
  -webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
  -webkit-transition: width 0.6s ease;
  -o-transition: width 0.6s ease;
  transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
  -webkit-animation: progress-bar-stripes 2s linear infinite;
  -o-animation: progress-bar-stripes 2s linear infinite;
  animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
  background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
  background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
  background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
  background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
  background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
  background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
  margin-top: 15px;
}
.media:first-child {
  margin-top: 0;
}
.media,
.media-body {
  overflow: hidden;
  zoom: 1;
}
.media-body {
  width: 10000px;
}
.media-object {
  display: block;
}
.media-object.img-thumbnail {
  max-width: none;
}
.media-right,
.media > .pull-right {
  padding-left: 10px;
}
.media-left,
.media > .pull-left {
  padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
  display: table-cell;
  vertical-align: top;
}
.media-middle {
  vertical-align: middle;
}
.media-bottom {
  vertical-align: bottom;
}
.media-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.media-list {
  padding-left: 0;
  list-style: none;
}
.list-group {
  padding-left: 0;
  margin-bottom: 20px;
}
.list-group-item {
  position: relative;
  display: block;
  padding: 10px 15px;
  margin-bottom: -1px;
  background-color: #ffffff;
  border: 1px solid #dddddd;
}
.list-group-item:first-child {
  border-top-left-radius: 2px;
  border-top-right-radius: 2px;
}
.list-group-item:last-child {
  margin-bottom: 0;
  border-bottom-right-radius: 2px;
  border-bottom-left-radius: 2px;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
  color: #777777;
  cursor: not-allowed;
  background-color: #eeeeee;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
  color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
  color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
  z-index: 2;
  color: #ffffff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
  color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
  color: #c7ddef;
}
a.list-group-item,
button.list-group-item {
  color: #555555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
  color: #333333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
  color: #555555;
  text-decoration: none;
  background-color: #f5f5f5;
}
button.list-group-item {
  width: 100%;
  text-align: left;
}
.list-group-item-success {
  color: #3c763d;
  background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
  color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
  color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
  color: #3c763d;
  background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
  color: #fff;
  background-color: #3c763d;
  border-color: #3c763d;
}
.list-group-item-info {
  color: #31708f;
  background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
  color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
  color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
  color: #31708f;
  background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
  color: #fff;
  background-color: #31708f;
  border-color: #31708f;
}
.list-group-item-warning {
  color: #8a6d3b;
  background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
  color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
  color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
  color: #8a6d3b;
  background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
  color: #fff;
  background-color: #8a6d3b;
  border-color: #8a6d3b;
}
.list-group-item-danger {
  color: #a94442;
  background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
  color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
  color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
  color: #a94442;
  background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
  color: #fff;
  background-color: #a94442;
  border-color: #a94442;
}
.list-group-item-heading {
  margin-top: 0;
  margin-bottom: 5px;
}
.list-group-item-text {
  margin-bottom: 0;
  line-height: 1.3;
}
.panel {
  margin-bottom: 18px;
  background-color: #ffffff;
  border: 1px solid transparent;
  border-radius: 2px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
  padding: 15px;
}
.panel-heading {
  padding: 10px 15px;
  border-bottom: 1px solid transparent;
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
  color: inherit;
}
.panel-title {
  margin-top: 0;
  margin-bottom: 0;
  font-size: 15px;
  color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
  color: inherit;
}
.panel-footer {
  padding: 10px 15px;
  background-color: #f5f5f5;
  border-top: 1px solid #dddddd;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
  margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
  border-width: 1px 0;
  border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
  border-top: 0;
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
  border-bottom: 0;
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
  border-top-left-radius: 0;
  border-top-right-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
  border-top-width: 0;
}
.list-group + .panel-footer {
  border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
  margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
  padding-right: 15px;
  padding-left: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
  border-top-left-radius: 1px;
  border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
  border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
  border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
  border-bottom-right-radius: 1px;
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
  border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
  border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
  border-top: 1px solid #dddddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
  border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
  border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
  border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
  border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
  border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
  border-bottom: 0;
}
.panel > .table-responsive {
  margin-bottom: 0;
  border: 0;
}
.panel-group {
  margin-bottom: 18px;
}
.panel-group .panel {
  margin-bottom: 0;
  border-radius: 2px;
}
.panel-group .panel + .panel {
  margin-top: 5px;
}
.panel-group .panel-heading {
  border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
  border-top: 1px solid #dddddd;
}
.panel-group .panel-footer {
  border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
  border-bottom: 1px solid #dddddd;
}
.panel-default {
  border-color: #dddddd;
}
.panel-default > .panel-heading {
  color: #333333;
  background-color: #f5f5f5;
  border-color: #dddddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #dddddd;
}
.panel-default > .panel-heading .badge {
  color: #f5f5f5;
  background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #dddddd;
}
.panel-primary {
  border-color: #337ab7;
}
.panel-primary > .panel-heading {
  color: #ffffff;
  background-color: #337ab7;
  border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
  color: #337ab7;
  background-color: #ffffff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #337ab7;
}
.panel-success {
  border-color: #d6e9c6;
}
.panel-success > .panel-heading {
  color: #3c763d;
  background-color: #dff0d8;
  border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
  color: #dff0d8;
  background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #d6e9c6;
}
.panel-info {
  border-color: #bce8f1;
}
.panel-info > .panel-heading {
  color: #31708f;
  background-color: #d9edf7;
  border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
  color: #d9edf7;
  background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #bce8f1;
}
.panel-warning {
  border-color: #faebcc;
}
.panel-warning > .panel-heading {
  color: #8a6d3b;
  background-color: #fcf8e3;
  border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
  color: #fcf8e3;
  background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #faebcc;
}
.panel-danger {
  border-color: #ebccd1;
}
.panel-danger > .panel-heading {
  color: #a94442;
  background-color: #f2dede;
  border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
  border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
  color: #f2dede;
  background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
  border-bottom-color: #ebccd1;
}
.embed-responsive {
  position: relative;
  display: block;
  height: 0;
  padding: 0;
  overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
  position: absolute;
  top: 0;
  bottom: 0;
  left: 0;
  width: 100%;
  height: 100%;
  border: 0;
}
.embed-responsive-16by9 {
  padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
  padding-bottom: 75%;
}
.well {
  min-height: 20px;
  padding: 19px;
  margin-bottom: 20px;
  background-color: #f5f5f5;
  border: 1px solid #e3e3e3;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
  border-color: #ddd;
  border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
  padding: 24px;
  border-radius: 3px;
}
.well-sm {
  padding: 9px;
  border-radius: 1px;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000000;
  text-shadow: 0 1px 0 #ffffff;
  filter: alpha(opacity=20);
  opacity: 0.2;
}
.close:hover,
.close:focus {
  color: #000000;
  text-decoration: none;
  cursor: pointer;
  filter: alpha(opacity=50);
  opacity: 0.5;
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
  appearance: none;
}
.modal-open {
  overflow: hidden;
}
.modal {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1050;
  display: none;
  overflow: hidden;
  -webkit-overflow-scrolling: touch;
  outline: 0;
}
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
  -ms-transform: translate(0, -25%);
  -o-transform: translate(0, -25%);
  transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
  -moz-transition: -moz-transform 0.3s ease-out;
  -o-transition: -o-transform 0.3s ease-out;
  transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
.modal-open .modal {
  overflow-x: hidden;
  overflow-y: auto;
}
.modal-dialog {
  position: relative;
  width: auto;
  margin: 10px;
}
.modal-content {
  position: relative;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #999999;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
  outline: 0;
}
.modal-backdrop {
  position: fixed;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  z-index: 1040;
  background-color: #000000;
}
.modal-backdrop.fade {
  filter: alpha(opacity=0);
  opacity: 0;
}
.modal-backdrop.in {
  filter: alpha(opacity=50);
  opacity: 0.5;
}
.modal-header {
  padding: 15px;
  border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
  margin-top: -2px;
}
.modal-title {
  margin: 0;
  line-height: 1.42857143;
}
.modal-body {
  position: relative;
  padding: 15px;
}
.modal-footer {
  padding: 15px;
  text-align: right;
  border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
  margin-bottom: 0;
  margin-left: 5px;
}
.modal-footer .btn-group .btn + .btn {
  margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
  margin-left: 0;
}
.modal-scrollbar-measure {
  position: absolute;
  top: -9999px;
  width: 50px;
  height: 50px;
  overflow: scroll;
}
@media (min-width: 768px) {
  .modal-dialog {
    width: 600px;
    margin: 30px auto;
  }
  .modal-content {
    -webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
    box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
  }
  .modal-sm {
    width: 300px;
  }
}
@media (min-width: 992px) {
  .modal-lg {
    width: 900px;
  }
}
.tooltip {
  position: absolute;
  z-index: 1070;
  display: block;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: 400;
  line-height: 1.42857143;
  line-break: auto;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  letter-spacing: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  white-space: normal;
  font-size: 12px;
  filter: alpha(opacity=0);
  opacity: 0;
}
.tooltip.in {
  filter: alpha(opacity=90);
  opacity: 0.9;
}
.tooltip.top {
  padding: 5px 0;
  margin-top: -3px;
}
.tooltip.right {
  padding: 0 5px;
  margin-left: 3px;
}
.tooltip.bottom {
  padding: 5px 0;
  margin-top: 3px;
}
.tooltip.left {
  padding: 0 5px;
  margin-left: -3px;
}
.tooltip.top .tooltip-arrow {
  bottom: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.top-left .tooltip-arrow {
  right: 5px;
  bottom: 0;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.top-right .tooltip-arrow {
  bottom: 0;
  left: 5px;
  margin-bottom: -5px;
  border-width: 5px 5px 0;
  border-top-color: #000000;
}
.tooltip.right .tooltip-arrow {
  top: 50%;
  left: 0;
  margin-top: -5px;
  border-width: 5px 5px 5px 0;
  border-right-color: #000000;
}
.tooltip.left .tooltip-arrow {
  top: 50%;
  right: 0;
  margin-top: -5px;
  border-width: 5px 0 5px 5px;
  border-left-color: #000000;
}
.tooltip.bottom .tooltip-arrow {
  top: 0;
  left: 50%;
  margin-left: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip.bottom-left .tooltip-arrow {
  top: 0;
  right: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip.bottom-right .tooltip-arrow {
  top: 0;
  left: 5px;
  margin-top: -5px;
  border-width: 0 5px 5px;
  border-bottom-color: #000000;
}
.tooltip-inner {
  max-width: 200px;
  padding: 3px 8px;
  color: #ffffff;
  text-align: center;
  background-color: #000000;
  border-radius: 2px;
}
.tooltip-arrow {
  position: absolute;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover {
  position: absolute;
  top: 0;
  left: 0;
  z-index: 1060;
  display: none;
  max-width: 276px;
  padding: 1px;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-style: normal;
  font-weight: 400;
  line-height: 1.42857143;
  line-break: auto;
  text-align: left;
  text-align: start;
  text-decoration: none;
  text-shadow: none;
  text-transform: none;
  letter-spacing: normal;
  word-break: normal;
  word-spacing: normal;
  word-wrap: normal;
  white-space: normal;
  font-size: 13px;
  background-color: #ffffff;
  background-clip: padding-box;
  border: 1px solid #cccccc;
  border: 1px solid rgba(0, 0, 0, 0.2);
  border-radius: 3px;
  -webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
  box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
  margin-top: -10px;
}
.popover.right {
  margin-left: 10px;
}
.popover.bottom {
  margin-top: 10px;
}
.popover.left {
  margin-left: -10px;
}
.popover > .arrow {
  border-width: 11px;
}
.popover > .arrow,
.popover > .arrow:after {
  position: absolute;
  display: block;
  width: 0;
  height: 0;
  border-color: transparent;
  border-style: solid;
}
.popover > .arrow:after {
  content: "";
  border-width: 10px;
}
.popover.top > .arrow {
  bottom: -11px;
  left: 50%;
  margin-left: -11px;
  border-top-color: #999999;
  border-top-color: rgba(0, 0, 0, 0.25);
  border-bottom-width: 0;
}
.popover.top > .arrow:after {
  bottom: 1px;
  margin-left: -10px;
  content: " ";
  border-top-color: #ffffff;
  border-bottom-width: 0;
}
.popover.right > .arrow {
  top: 50%;
  left: -11px;
  margin-top: -11px;
  border-right-color: #999999;
  border-right-color: rgba(0, 0, 0, 0.25);
  border-left-width: 0;
}
.popover.right > .arrow:after {
  bottom: -10px;
  left: 1px;
  content: " ";
  border-right-color: #ffffff;
  border-left-width: 0;
}
.popover.bottom > .arrow {
  top: -11px;
  left: 50%;
  margin-left: -11px;
  border-top-width: 0;
  border-bottom-color: #999999;
  border-bottom-color: rgba(0, 0, 0, 0.25);
}
.popover.bottom > .arrow:after {
  top: 1px;
  margin-left: -10px;
  content: " ";
  border-top-width: 0;
  border-bottom-color: #ffffff;
}
.popover.left > .arrow {
  top: 50%;
  right: -11px;
  margin-top: -11px;
  border-right-width: 0;
  border-left-color: #999999;
  border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
  right: 1px;
  bottom: -10px;
  content: " ";
  border-right-width: 0;
  border-left-color: #ffffff;
}
.popover-title {
  padding: 8px 14px;
  margin: 0;
  font-size: 13px;
  background-color: #f7f7f7;
  border-bottom: 1px solid #ebebeb;
  border-radius: 2px 2px 0 0;
}
.popover-content {
  padding: 9px 14px;
}
.carousel {
  position: relative;
}
.carousel-inner {
  position: relative;
  width: 100%;
  overflow: hidden;
}
.carousel-inner > .item {
  position: relative;
  display: none;
  -webkit-transition: 0.6s ease-in-out left;
  -o-transition: 0.6s ease-in-out left;
  transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
  line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
  .carousel-inner > .item {
    -webkit-transition: -webkit-transform 0.6s ease-in-out;
    -moz-transition: -moz-transform 0.6s ease-in-out;
    -o-transition: -o-transform 0.6s ease-in-out;
    transition: transform 0.6s ease-in-out;
    -webkit-backface-visibility: hidden;
    -moz-backface-visibility: hidden;
    backface-visibility: hidden;
    -webkit-perspective: 1000px;
    -moz-perspective: 1000px;
    perspective: 1000px;
  }
  .carousel-inner > .item.next,
  .carousel-inner > .item.active.right {
    -webkit-transform: translate3d(100%, 0, 0);
    transform: translate3d(100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.prev,
  .carousel-inner > .item.active.left {
    -webkit-transform: translate3d(-100%, 0, 0);
    transform: translate3d(-100%, 0, 0);
    left: 0;
  }
  .carousel-inner > .item.next.left,
  .carousel-inner > .item.prev.right,
  .carousel-inner > .item.active {
    -webkit-transform: translate3d(0, 0, 0);
    transform: translate3d(0, 0, 0);
    left: 0;
  }
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
  display: block;
}
.carousel-inner > .active {
  left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
  position: absolute;
  top: 0;
  width: 100%;
}
.carousel-inner > .next {
  left: 100%;
}
.carousel-inner > .prev {
  left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
  left: 0;
}
.carousel-inner > .active.left {
  left: -100%;
}
.carousel-inner > .active.right {
  left: 100%;
}
.carousel-control {
  position: absolute;
  top: 0;
  bottom: 0;
  left: 0;
  width: 15%;
  font-size: 20px;
  color: #ffffff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
  background-color: rgba(0, 0, 0, 0);
  filter: alpha(opacity=50);
  opacity: 0.5;
}
.carousel-control.left {
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
  background-repeat: repeat-x;
}
.carousel-control.right {
  right: 0;
  left: auto;
  background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
  background-repeat: repeat-x;
}
.carousel-control:hover,
.carousel-control:focus {
  color: #ffffff;
  text-decoration: none;
  outline: 0;
  filter: alpha(opacity=90);
  opacity: 0.9;
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
  position: absolute;
  top: 50%;
  z-index: 5;
  display: inline-block;
  margin-top: -10px;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
  left: 50%;
  margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
  right: 50%;
  margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
  width: 20px;
  height: 20px;
  font-family: serif;
  line-height: 1;
}
.carousel-control .icon-prev:before {
  content: "\2039";
}
.carousel-control .icon-next:before {
  content: "\203a";
}
.carousel-indicators {
  position: absolute;
  bottom: 10px;
  left: 50%;
  z-index: 15;
  width: 60%;
  padding-left: 0;
  margin-left: -30%;
  text-align: center;
  list-style: none;
}
.carousel-indicators li {
  display: inline-block;
  width: 10px;
  height: 10px;
  margin: 1px;
  text-indent: -999px;
  cursor: pointer;
  background-color: #000 \9;
  background-color: rgba(0, 0, 0, 0);
  border: 1px solid #ffffff;
  border-radius: 10px;
}
.carousel-indicators .active {
  width: 12px;
  height: 12px;
  margin: 0;
  background-color: #ffffff;
}
.carousel-caption {
  position: absolute;
  right: 15%;
  bottom: 20px;
  left: 15%;
  z-index: 10;
  padding-top: 20px;
  padding-bottom: 20px;
  color: #ffffff;
  text-align: center;
  text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
  text-shadow: none;
}
@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-prev,
  .carousel-control .icon-next {
    width: 30px;
    height: 30px;
    margin-top: -10px;
    font-size: 30px;
  }
  .carousel-control .glyphicon-chevron-left,
  .carousel-control .icon-prev {
    margin-left: -10px;
  }
  .carousel-control .glyphicon-chevron-right,
  .carousel-control .icon-next {
    margin-right: -10px;
  }
  .carousel-caption {
    right: 20%;
    left: 20%;
    padding-bottom: 30px;
  }
  .carousel-indicators {
    bottom: 20px;
  }
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
  display: table;
  content: " ";
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
  clear: both;
}
.center-block {
  display: block;
  margin-right: auto;
  margin-left: auto;
}
.pull-right {
  float: right !important;
}
.pull-left {
  float: left !important;
}
.hide {
  display: none !important;
}
.show {
  display: block !important;
}
.invisible {
  visibility: hidden;
}
.text-hide {
  font: 0/0 a;
  color: transparent;
  text-shadow: none;
  background-color: transparent;
  border: 0;
}
.hidden {
  display: none !important;
}
.affix {
  position: fixed;
}
@-ms-viewport {
  width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
  display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
  display: none !important;
}
@media (max-width: 767px) {
  .visible-xs {
    display: block !important;
  }
  table.visible-xs {
    display: table !important;
  }
  tr.visible-xs {
    display: table-row !important;
  }
  th.visible-xs,
  td.visible-xs {
    display: table-cell !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-block {
    display: block !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline {
    display: inline !important;
  }
}
@media (max-width: 767px) {
  .visible-xs-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm {
    display: block !important;
  }
  table.visible-sm {
    display: table !important;
  }
  tr.visible-sm {
    display: table-row !important;
  }
  th.visible-sm,
  td.visible-sm {
    display: table-cell !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-block {
    display: block !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline {
    display: inline !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .visible-sm-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md {
    display: block !important;
  }
  table.visible-md {
    display: table !important;
  }
  tr.visible-md {
    display: table-row !important;
  }
  th.visible-md,
  td.visible-md {
    display: table-cell !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-block {
    display: block !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline {
    display: inline !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .visible-md-inline-block {
    display: inline-block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg {
    display: block !important;
  }
  table.visible-lg {
    display: table !important;
  }
  tr.visible-lg {
    display: table-row !important;
  }
  th.visible-lg,
  td.visible-lg {
    display: table-cell !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-block {
    display: block !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline {
    display: inline !important;
  }
}
@media (min-width: 1200px) {
  .visible-lg-inline-block {
    display: inline-block !important;
  }
}
@media (max-width: 767px) {
  .hidden-xs {
    display: none !important;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  .hidden-sm {
    display: none !important;
  }
}
@media (min-width: 992px) and (max-width: 1199px) {
  .hidden-md {
    display: none !important;
  }
}
@media (min-width: 1200px) {
  .hidden-lg {
    display: none !important;
  }
}
.visible-print {
  display: none !important;
}
@media print {
  .visible-print {
    display: block !important;
  }
  table.visible-print {
    display: table !important;
  }
  tr.visible-print {
    display: table-row !important;
  }
  th.visible-print,
  td.visible-print {
    display: table-cell !important;
  }
}
.visible-print-block {
  display: none !important;
}
@media print {
  .visible-print-block {
    display: block !important;
  }
}
.visible-print-inline {
  display: none !important;
}
@media print {
  .visible-print-inline {
    display: inline !important;
  }
}
.visible-print-inline-block {
  display: none !important;
}
@media print {
  .visible-print-inline-block {
    display: inline-block !important;
  }
}
@media print {
  .hidden-print {
    display: none !important;
  }
}
/*!
*
* Font Awesome
*
*/
/*!
 *  Font Awesome 4.7.0 by @davegandy - http://fontawesome.io - @fontawesome
 *  License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
 */
/* FONT PATH
 * -------------------------- */
@font-face {
  font-family: 'FontAwesome';
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.7.0');
  src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.7.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.7.0') format('woff2'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.7.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.7.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.7.0#fontawesomeregular') format('svg');
  font-weight: normal;
  font-style: normal;
}
.fa {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
  font-size: 1.33333333em;
  line-height: 0.75em;
  vertical-align: -15%;
}
.fa-2x {
  font-size: 2em;
}
.fa-3x {
  font-size: 3em;
}
.fa-4x {
  font-size: 4em;
}
.fa-5x {
  font-size: 5em;
}
.fa-fw {
  width: 1.28571429em;
  text-align: center;
}
.fa-ul {
  padding-left: 0;
  margin-left: 2.14285714em;
  list-style-type: none;
}
.fa-ul > li {
  position: relative;
}
.fa-li {
  position: absolute;
  left: -2.14285714em;
  width: 2.14285714em;
  top: 0.14285714em;
  text-align: center;
}
.fa-li.fa-lg {
  left: -1.85714286em;
}
.fa-border {
  padding: .2em .25em .15em;
  border: solid 0.08em #eeeeee;
  border-radius: .1em;
}
.fa-pull-left {
  float: left;
}
.fa-pull-right {
  float: right;
}
.fa.fa-pull-left {
  margin-right: .3em;
}
.fa.fa-pull-right {
  margin-left: .3em;
}
/* Deprecated as of 4.4.0 */
.pull-right {
  float: right;
}
.pull-left {
  float: left;
}
.fa.pull-left {
  margin-right: .3em;
}
.fa.pull-right {
  margin-left: .3em;
}
.fa-spin {
  -webkit-animation: fa-spin 2s infinite linear;
  animation: fa-spin 2s infinite linear;
}
.fa-pulse {
  -webkit-animation: fa-spin 1s infinite steps(8);
  animation: fa-spin 1s infinite steps(8);
}
@-webkit-keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
@keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
    transform: rotate(0deg);
  }
  100% {
    -webkit-transform: rotate(359deg);
    transform: rotate(359deg);
  }
}
.fa-rotate-90 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
  -webkit-transform: rotate(90deg);
  -ms-transform: rotate(90deg);
  transform: rotate(90deg);
}
.fa-rotate-180 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
  -webkit-transform: rotate(180deg);
  -ms-transform: rotate(180deg);
  transform: rotate(180deg);
}
.fa-rotate-270 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
  -webkit-transform: rotate(270deg);
  -ms-transform: rotate(270deg);
  transform: rotate(270deg);
}
.fa-flip-horizontal {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1)";
  -webkit-transform: scale(-1, 1);
  -ms-transform: scale(-1, 1);
  transform: scale(-1, 1);
}
.fa-flip-vertical {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)";
  -webkit-transform: scale(1, -1);
  -ms-transform: scale(1, -1);
  transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
  filter: none;
}
.fa-stack {
  position: relative;
  display: inline-block;
  width: 2em;
  height: 2em;
  line-height: 2em;
  vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
  position: absolute;
  left: 0;
  width: 100%;
  text-align: center;
}
.fa-stack-1x {
  line-height: inherit;
}
.fa-stack-2x {
  font-size: 2em;
}
.fa-inverse {
  color: #ffffff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
   readers do not read off random characters that represent icons */
.fa-glass:before {
  content: "\f000";
}
.fa-music:before {
  content: "\f001";
}
.fa-search:before {
  content: "\f002";
}
.fa-envelope-o:before {
  content: "\f003";
}
.fa-heart:before {
  content: "\f004";
}
.fa-star:before {
  content: "\f005";
}
.fa-star-o:before {
  content: "\f006";
}
.fa-user:before {
  content: "\f007";
}
.fa-film:before {
  content: "\f008";
}
.fa-th-large:before {
  content: "\f009";
}
.fa-th:before {
  content: "\f00a";
}
.fa-th-list:before {
  content: "\f00b";
}
.fa-check:before {
  content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
  content: "\f00d";
}
.fa-search-plus:before {
  content: "\f00e";
}
.fa-search-minus:before {
  content: "\f010";
}
.fa-power-off:before {
  content: "\f011";
}
.fa-signal:before {
  content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
  content: "\f013";
}
.fa-trash-o:before {
  content: "\f014";
}
.fa-home:before {
  content: "\f015";
}
.fa-file-o:before {
  content: "\f016";
}
.fa-clock-o:before {
  content: "\f017";
}
.fa-road:before {
  content: "\f018";
}
.fa-download:before {
  content: "\f019";
}
.fa-arrow-circle-o-down:before {
  content: "\f01a";
}
.fa-arrow-circle-o-up:before {
  content: "\f01b";
}
.fa-inbox:before {
  content: "\f01c";
}
.fa-play-circle-o:before {
  content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
  content: "\f01e";
}
.fa-refresh:before {
  content: "\f021";
}
.fa-list-alt:before {
  content: "\f022";
}
.fa-lock:before {
  content: "\f023";
}
.fa-flag:before {
  content: "\f024";
}
.fa-headphones:before {
  content: "\f025";
}
.fa-volume-off:before {
  content: "\f026";
}
.fa-volume-down:before {
  content: "\f027";
}
.fa-volume-up:before {
  content: "\f028";
}
.fa-qrcode:before {
  content: "\f029";
}
.fa-barcode:before {
  content: "\f02a";
}
.fa-tag:before {
  content: "\f02b";
}
.fa-tags:before {
  content: "\f02c";
}
.fa-book:before {
  content: "\f02d";
}
.fa-bookmark:before {
  content: "\f02e";
}
.fa-print:before {
  content: "\f02f";
}
.fa-camera:before {
  content: "\f030";
}
.fa-font:before {
  content: "\f031";
}
.fa-bold:before {
  content: "\f032";
}
.fa-italic:before {
  content: "\f033";
}
.fa-text-height:before {
  content: "\f034";
}
.fa-text-width:before {
  content: "\f035";
}
.fa-align-left:before {
  content: "\f036";
}
.fa-align-center:before {
  content: "\f037";
}
.fa-align-right:before {
  content: "\f038";
}
.fa-align-justify:before {
  content: "\f039";
}
.fa-list:before {
  content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
  content: "\f03b";
}
.fa-indent:before {
  content: "\f03c";
}
.fa-video-camera:before {
  content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
  content: "\f03e";
}
.fa-pencil:before {
  content: "\f040";
}
.fa-map-marker:before {
  content: "\f041";
}
.fa-adjust:before {
  content: "\f042";
}
.fa-tint:before {
  content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
  content: "\f044";
}
.fa-share-square-o:before {
  content: "\f045";
}
.fa-check-square-o:before {
  content: "\f046";
}
.fa-arrows:before {
  content: "\f047";
}
.fa-step-backward:before {
  content: "\f048";
}
.fa-fast-backward:before {
  content: "\f049";
}
.fa-backward:before {
  content: "\f04a";
}
.fa-play:before {
  content: "\f04b";
}
.fa-pause:before {
  content: "\f04c";
}
.fa-stop:before {
  content: "\f04d";
}
.fa-forward:before {
  content: "\f04e";
}
.fa-fast-forward:before {
  content: "\f050";
}
.fa-step-forward:before {
  content: "\f051";
}
.fa-eject:before {
  content: "\f052";
}
.fa-chevron-left:before {
  content: "\f053";
}
.fa-chevron-right:before {
  content: "\f054";
}
.fa-plus-circle:before {
  content: "\f055";
}
.fa-minus-circle:before {
  content: "\f056";
}
.fa-times-circle:before {
  content: "\f057";
}
.fa-check-circle:before {
  content: "\f058";
}
.fa-question-circle:before {
  content: "\f059";
}
.fa-info-circle:before {
  content: "\f05a";
}
.fa-crosshairs:before {
  content: "\f05b";
}
.fa-times-circle-o:before {
  content: "\f05c";
}
.fa-check-circle-o:before {
  content: "\f05d";
}
.fa-ban:before {
  content: "\f05e";
}
.fa-arrow-left:before {
  content: "\f060";
}
.fa-arrow-right:before {
  content: "\f061";
}
.fa-arrow-up:before {
  content: "\f062";
}
.fa-arrow-down:before {
  content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
  content: "\f064";
}
.fa-expand:before {
  content: "\f065";
}
.fa-compress:before {
  content: "\f066";
}
.fa-plus:before {
  content: "\f067";
}
.fa-minus:before {
  content: "\f068";
}
.fa-asterisk:before {
  content: "\f069";
}
.fa-exclamation-circle:before {
  content: "\f06a";
}
.fa-gift:before {
  content: "\f06b";
}
.fa-leaf:before {
  content: "\f06c";
}
.fa-fire:before {
  content: "\f06d";
}
.fa-eye:before {
  content: "\f06e";
}
.fa-eye-slash:before {
  content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
  content: "\f071";
}
.fa-plane:before {
  content: "\f072";
}
.fa-calendar:before {
  content: "\f073";
}
.fa-random:before {
  content: "\f074";
}
.fa-comment:before {
  content: "\f075";
}
.fa-magnet:before {
  content: "\f076";
}
.fa-chevron-up:before {
  content: "\f077";
}
.fa-chevron-down:before {
  content: "\f078";
}
.fa-retweet:before {
  content: "\f079";
}
.fa-shopping-cart:before {
  content: "\f07a";
}
.fa-folder:before {
  content: "\f07b";
}
.fa-folder-open:before {
  content: "\f07c";
}
.fa-arrows-v:before {
  content: "\f07d";
}
.fa-arrows-h:before {
  content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
  content: "\f080";
}
.fa-twitter-square:before {
  content: "\f081";
}
.fa-facebook-square:before {
  content: "\f082";
}
.fa-camera-retro:before {
  content: "\f083";
}
.fa-key:before {
  content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
  content: "\f085";
}
.fa-comments:before {
  content: "\f086";
}
.fa-thumbs-o-up:before {
  content: "\f087";
}
.fa-thumbs-o-down:before {
  content: "\f088";
}
.fa-star-half:before {
  content: "\f089";
}
.fa-heart-o:before {
  content: "\f08a";
}
.fa-sign-out:before {
  content: "\f08b";
}
.fa-linkedin-square:before {
  content: "\f08c";
}
.fa-thumb-tack:before {
  content: "\f08d";
}
.fa-external-link:before {
  content: "\f08e";
}
.fa-sign-in:before {
  content: "\f090";
}
.fa-trophy:before {
  content: "\f091";
}
.fa-github-square:before {
  content: "\f092";
}
.fa-upload:before {
  content: "\f093";
}
.fa-lemon-o:before {
  content: "\f094";
}
.fa-phone:before {
  content: "\f095";
}
.fa-square-o:before {
  content: "\f096";
}
.fa-bookmark-o:before {
  content: "\f097";
}
.fa-phone-square:before {
  content: "\f098";
}
.fa-twitter:before {
  content: "\f099";
}
.fa-facebook-f:before,
.fa-facebook:before {
  content: "\f09a";
}
.fa-github:before {
  content: "\f09b";
}
.fa-unlock:before {
  content: "\f09c";
}
.fa-credit-card:before {
  content: "\f09d";
}
.fa-feed:before,
.fa-rss:before {
  content: "\f09e";
}
.fa-hdd-o:before {
  content: "\f0a0";
}
.fa-bullhorn:before {
  content: "\f0a1";
}
.fa-bell:before {
  content: "\f0f3";
}
.fa-certificate:before {
  content: "\f0a3";
}
.fa-hand-o-right:before {
  content: "\f0a4";
}
.fa-hand-o-left:before {
  content: "\f0a5";
}
.fa-hand-o-up:before {
  content: "\f0a6";
}
.fa-hand-o-down:before {
  content: "\f0a7";
}
.fa-arrow-circle-left:before {
  content: "\f0a8";
}
.fa-arrow-circle-right:before {
  content: "\f0a9";
}
.fa-arrow-circle-up:before {
  content: "\f0aa";
}
.fa-arrow-circle-down:before {
  content: "\f0ab";
}
.fa-globe:before {
  content: "\f0ac";
}
.fa-wrench:before {
  content: "\f0ad";
}
.fa-tasks:before {
  content: "\f0ae";
}
.fa-filter:before {
  content: "\f0b0";
}
.fa-briefcase:before {
  content: "\f0b1";
}
.fa-arrows-alt:before {
  content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
  content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
  content: "\f0c1";
}
.fa-cloud:before {
  content: "\f0c2";
}
.fa-flask:before {
  content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
  content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
  content: "\f0c5";
}
.fa-paperclip:before {
  content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
  content: "\f0c7";
}
.fa-square:before {
  content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
  content: "\f0c9";
}
.fa-list-ul:before {
  content: "\f0ca";
}
.fa-list-ol:before {
  content: "\f0cb";
}
.fa-strikethrough:before {
  content: "\f0cc";
}
.fa-underline:before {
  content: "\f0cd";
}
.fa-table:before {
  content: "\f0ce";
}
.fa-magic:before {
  content: "\f0d0";
}
.fa-truck:before {
  content: "\f0d1";
}
.fa-pinterest:before {
  content: "\f0d2";
}
.fa-pinterest-square:before {
  content: "\f0d3";
}
.fa-google-plus-square:before {
  content: "\f0d4";
}
.fa-google-plus:before {
  content: "\f0d5";
}
.fa-money:before {
  content: "\f0d6";
}
.fa-caret-down:before {
  content: "\f0d7";
}
.fa-caret-up:before {
  content: "\f0d8";
}
.fa-caret-left:before {
  content: "\f0d9";
}
.fa-caret-right:before {
  content: "\f0da";
}
.fa-columns:before {
  content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
  content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
  content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
  content: "\f0de";
}
.fa-envelope:before {
  content: "\f0e0";
}
.fa-linkedin:before {
  content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
  content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
  content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
  content: "\f0e4";
}
.fa-comment-o:before {
  content: "\f0e5";
}
.fa-comments-o:before {
  content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
  content: "\f0e7";
}
.fa-sitemap:before {
  content: "\f0e8";
}
.fa-umbrella:before {
  content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
  content: "\f0ea";
}
.fa-lightbulb-o:before {
  content: "\f0eb";
}
.fa-exchange:before {
  content: "\f0ec";
}
.fa-cloud-download:before {
  content: "\f0ed";
}
.fa-cloud-upload:before {
  content: "\f0ee";
}
.fa-user-md:before {
  content: "\f0f0";
}
.fa-stethoscope:before {
  content: "\f0f1";
}
.fa-suitcase:before {
  content: "\f0f2";
}
.fa-bell-o:before {
  content: "\f0a2";
}
.fa-coffee:before {
  content: "\f0f4";
}
.fa-cutlery:before {
  content: "\f0f5";
}
.fa-file-text-o:before {
  content: "\f0f6";
}
.fa-building-o:before {
  content: "\f0f7";
}
.fa-hospital-o:before {
  content: "\f0f8";
}
.fa-ambulance:before {
  content: "\f0f9";
}
.fa-medkit:before {
  content: "\f0fa";
}
.fa-fighter-jet:before {
  content: "\f0fb";
}
.fa-beer:before {
  content: "\f0fc";
}
.fa-h-square:before {
  content: "\f0fd";
}
.fa-plus-square:before {
  content: "\f0fe";
}
.fa-angle-double-left:before {
  content: "\f100";
}
.fa-angle-double-right:before {
  content: "\f101";
}
.fa-angle-double-up:before {
  content: "\f102";
}
.fa-angle-double-down:before {
  content: "\f103";
}
.fa-angle-left:before {
  content: "\f104";
}
.fa-angle-right:before {
  content: "\f105";
}
.fa-angle-up:before {
  content: "\f106";
}
.fa-angle-down:before {
  content: "\f107";
}
.fa-desktop:before {
  content: "\f108";
}
.fa-laptop:before {
  content: "\f109";
}
.fa-tablet:before {
  content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
  content: "\f10b";
}
.fa-circle-o:before {
  content: "\f10c";
}
.fa-quote-left:before {
  content: "\f10d";
}
.fa-quote-right:before {
  content: "\f10e";
}
.fa-spinner:before {
  content: "\f110";
}
.fa-circle:before {
  content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
  content: "\f112";
}
.fa-github-alt:before {
  content: "\f113";
}
.fa-folder-o:before {
  content: "\f114";
}
.fa-folder-open-o:before {
  content: "\f115";
}
.fa-smile-o:before {
  content: "\f118";
}
.fa-frown-o:before {
  content: "\f119";
}
.fa-meh-o:before {
  content: "\f11a";
}
.fa-gamepad:before {
  content: "\f11b";
}
.fa-keyboard-o:before {
  content: "\f11c";
}
.fa-flag-o:before {
  content: "\f11d";
}
.fa-flag-checkered:before {
  content: "\f11e";
}
.fa-terminal:before {
  content: "\f120";
}
.fa-code:before {
  content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
  content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
  content: "\f123";
}
.fa-location-arrow:before {
  content: "\f124";
}
.fa-crop:before {
  content: "\f125";
}
.fa-code-fork:before {
  content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
  content: "\f127";
}
.fa-question:before {
  content: "\f128";
}
.fa-info:before {
  content: "\f129";
}
.fa-exclamation:before {
  content: "\f12a";
}
.fa-superscript:before {
  content: "\f12b";
}
.fa-subscript:before {
  content: "\f12c";
}
.fa-eraser:before {
  content: "\f12d";
}
.fa-puzzle-piece:before {
  content: "\f12e";
}
.fa-microphone:before {
  content: "\f130";
}
.fa-microphone-slash:before {
  content: "\f131";
}
.fa-shield:before {
  content: "\f132";
}
.fa-calendar-o:before {
  content: "\f133";
}
.fa-fire-extinguisher:before {
  content: "\f134";
}
.fa-rocket:before {
  content: "\f135";
}
.fa-maxcdn:before {
  content: "\f136";
}
.fa-chevron-circle-left:before {
  content: "\f137";
}
.fa-chevron-circle-right:before {
  content: "\f138";
}
.fa-chevron-circle-up:before {
  content: "\f139";
}
.fa-chevron-circle-down:before {
  content: "\f13a";
}
.fa-html5:before {
  content: "\f13b";
}
.fa-css3:before {
  content: "\f13c";
}
.fa-anchor:before {
  content: "\f13d";
}
.fa-unlock-alt:before {
  content: "\f13e";
}
.fa-bullseye:before {
  content: "\f140";
}
.fa-ellipsis-h:before {
  content: "\f141";
}
.fa-ellipsis-v:before {
  content: "\f142";
}
.fa-rss-square:before {
  content: "\f143";
}
.fa-play-circle:before {
  content: "\f144";
}
.fa-ticket:before {
  content: "\f145";
}
.fa-minus-square:before {
  content: "\f146";
}
.fa-minus-square-o:before {
  content: "\f147";
}
.fa-level-up:before {
  content: "\f148";
}
.fa-level-down:before {
  content: "\f149";
}
.fa-check-square:before {
  content: "\f14a";
}
.fa-pencil-square:before {
  content: "\f14b";
}
.fa-external-link-square:before {
  content: "\f14c";
}
.fa-share-square:before {
  content: "\f14d";
}
.fa-compass:before {
  content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
  content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
  content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
  content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
  content: "\f153";
}
.fa-gbp:before {
  content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
  content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
  content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
  content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
  content: "\f158";
}
.fa-won:before,
.fa-krw:before {
  content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
  content: "\f15a";
}
.fa-file:before {
  content: "\f15b";
}
.fa-file-text:before {
  content: "\f15c";
}
.fa-sort-alpha-asc:before {
  content: "\f15d";
}
.fa-sort-alpha-desc:before {
  content: "\f15e";
}
.fa-sort-amount-asc:before {
  content: "\f160";
}
.fa-sort-amount-desc:before {
  content: "\f161";
}
.fa-sort-numeric-asc:before {
  content: "\f162";
}
.fa-sort-numeric-desc:before {
  content: "\f163";
}
.fa-thumbs-up:before {
  content: "\f164";
}
.fa-thumbs-down:before {
  content: "\f165";
}
.fa-youtube-square:before {
  content: "\f166";
}
.fa-youtube:before {
  content: "\f167";
}
.fa-xing:before {
  content: "\f168";
}
.fa-xing-square:before {
  content: "\f169";
}
.fa-youtube-play:before {
  content: "\f16a";
}
.fa-dropbox:before {
  content: "\f16b";
}
.fa-stack-overflow:before {
  content: "\f16c";
}
.fa-instagram:before {
  content: "\f16d";
}
.fa-flickr:before {
  content: "\f16e";
}
.fa-adn:before {
  content: "\f170";
}
.fa-bitbucket:before {
  content: "\f171";
}
.fa-bitbucket-square:before {
  content: "\f172";
}
.fa-tumblr:before {
  content: "\f173";
}
.fa-tumblr-square:before {
  content: "\f174";
}
.fa-long-arrow-down:before {
  content: "\f175";
}
.fa-long-arrow-up:before {
  content: "\f176";
}
.fa-long-arrow-left:before {
  content: "\f177";
}
.fa-long-arrow-right:before {
  content: "\f178";
}
.fa-apple:before {
  content: "\f179";
}
.fa-windows:before {
  content: "\f17a";
}
.fa-android:before {
  content: "\f17b";
}
.fa-linux:before {
  content: "\f17c";
}
.fa-dribbble:before {
  content: "\f17d";
}
.fa-skype:before {
  content: "\f17e";
}
.fa-foursquare:before {
  content: "\f180";
}
.fa-trello:before {
  content: "\f181";
}
.fa-female:before {
  content: "\f182";
}
.fa-male:before {
  content: "\f183";
}
.fa-gittip:before,
.fa-gratipay:before {
  content: "\f184";
}
.fa-sun-o:before {
  content: "\f185";
}
.fa-moon-o:before {
  content: "\f186";
}
.fa-archive:before {
  content: "\f187";
}
.fa-bug:before {
  content: "\f188";
}
.fa-vk:before {
  content: "\f189";
}
.fa-weibo:before {
  content: "\f18a";
}
.fa-renren:before {
  content: "\f18b";
}
.fa-pagelines:before {
  content: "\f18c";
}
.fa-stack-exchange:before {
  content: "\f18d";
}
.fa-arrow-circle-o-right:before {
  content: "\f18e";
}
.fa-arrow-circle-o-left:before {
  content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
  content: "\f191";
}
.fa-dot-circle-o:before {
  content: "\f192";
}
.fa-wheelchair:before {
  content: "\f193";
}
.fa-vimeo-square:before {
  content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
  content: "\f195";
}
.fa-plus-square-o:before {
  content: "\f196";
}
.fa-space-shuttle:before {
  content: "\f197";
}
.fa-slack:before {
  content: "\f198";
}
.fa-envelope-square:before {
  content: "\f199";
}
.fa-wordpress:before {
  content: "\f19a";
}
.fa-openid:before {
  content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
  content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
  content: "\f19d";
}
.fa-yahoo:before {
  content: "\f19e";
}
.fa-google:before {
  content: "\f1a0";
}
.fa-reddit:before {
  content: "\f1a1";
}
.fa-reddit-square:before {
  content: "\f1a2";
}
.fa-stumbleupon-circle:before {
  content: "\f1a3";
}
.fa-stumbleupon:before {
  content: "\f1a4";
}
.fa-delicious:before {
  content: "\f1a5";
}
.fa-digg:before {
  content: "\f1a6";
}
.fa-pied-piper-pp:before {
  content: "\f1a7";
}
.fa-pied-piper-alt:before {
  content: "\f1a8";
}
.fa-drupal:before {
  content: "\f1a9";
}
.fa-joomla:before {
  content: "\f1aa";
}
.fa-language:before {
  content: "\f1ab";
}
.fa-fax:before {
  content: "\f1ac";
}
.fa-building:before {
  content: "\f1ad";
}
.fa-child:before {
  content: "\f1ae";
}
.fa-paw:before {
  content: "\f1b0";
}
.fa-spoon:before {
  content: "\f1b1";
}
.fa-cube:before {
  content: "\f1b2";
}
.fa-cubes:before {
  content: "\f1b3";
}
.fa-behance:before {
  content: "\f1b4";
}
.fa-behance-square:before {
  content: "\f1b5";
}
.fa-steam:before {
  content: "\f1b6";
}
.fa-steam-square:before {
  content: "\f1b7";
}
.fa-recycle:before {
  content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
  content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
  content: "\f1ba";
}
.fa-tree:before {
  content: "\f1bb";
}
.fa-spotify:before {
  content: "\f1bc";
}
.fa-deviantart:before {
  content: "\f1bd";
}
.fa-soundcloud:before {
  content: "\f1be";
}
.fa-database:before {
  content: "\f1c0";
}
.fa-file-pdf-o:before {
  content: "\f1c1";
}
.fa-file-word-o:before {
  content: "\f1c2";
}
.fa-file-excel-o:before {
  content: "\f1c3";
}
.fa-file-powerpoint-o:before {
  content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
  content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
  content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
  content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
  content: "\f1c8";
}
.fa-file-code-o:before {
  content: "\f1c9";
}
.fa-vine:before {
  content: "\f1ca";
}
.fa-codepen:before {
  content: "\f1cb";
}
.fa-jsfiddle:before {
  content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
  content: "\f1cd";
}
.fa-circle-o-notch:before {
  content: "\f1ce";
}
.fa-ra:before,
.fa-resistance:before,
.fa-rebel:before {
  content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
  content: "\f1d1";
}
.fa-git-square:before {
  content: "\f1d2";
}
.fa-git:before {
  content: "\f1d3";
}
.fa-y-combinator-square:before,
.fa-yc-square:before,
.fa-hacker-news:before {
  content: "\f1d4";
}
.fa-tencent-weibo:before {
  content: "\f1d5";
}
.fa-qq:before {
  content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
  content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
  content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
  content: "\f1d9";
}
.fa-history:before {
  content: "\f1da";
}
.fa-circle-thin:before {
  content: "\f1db";
}
.fa-header:before {
  content: "\f1dc";
}
.fa-paragraph:before {
  content: "\f1dd";
}
.fa-sliders:before {
  content: "\f1de";
}
.fa-share-alt:before {
  content: "\f1e0";
}
.fa-share-alt-square:before {
  content: "\f1e1";
}
.fa-bomb:before {
  content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
  content: "\f1e3";
}
.fa-tty:before {
  content: "\f1e4";
}
.fa-binoculars:before {
  content: "\f1e5";
}
.fa-plug:before {
  content: "\f1e6";
}
.fa-slideshare:before {
  content: "\f1e7";
}
.fa-twitch:before {
  content: "\f1e8";
}
.fa-yelp:before {
  content: "\f1e9";
}
.fa-newspaper-o:before {
  content: "\f1ea";
}
.fa-wifi:before {
  content: "\f1eb";
}
.fa-calculator:before {
  content: "\f1ec";
}
.fa-paypal:before {
  content: "\f1ed";
}
.fa-google-wallet:before {
  content: "\f1ee";
}
.fa-cc-visa:before {
  content: "\f1f0";
}
.fa-cc-mastercard:before {
  content: "\f1f1";
}
.fa-cc-discover:before {
  content: "\f1f2";
}
.fa-cc-amex:before {
  content: "\f1f3";
}
.fa-cc-paypal:before {
  content: "\f1f4";
}
.fa-cc-stripe:before {
  content: "\f1f5";
}
.fa-bell-slash:before {
  content: "\f1f6";
}
.fa-bell-slash-o:before {
  content: "\f1f7";
}
.fa-trash:before {
  content: "\f1f8";
}
.fa-copyright:before {
  content: "\f1f9";
}
.fa-at:before {
  content: "\f1fa";
}
.fa-eyedropper:before {
  content: "\f1fb";
}
.fa-paint-brush:before {
  content: "\f1fc";
}
.fa-birthday-cake:before {
  content: "\f1fd";
}
.fa-area-chart:before {
  content: "\f1fe";
}
.fa-pie-chart:before {
  content: "\f200";
}
.fa-line-chart:before {
  content: "\f201";
}
.fa-lastfm:before {
  content: "\f202";
}
.fa-lastfm-square:before {
  content: "\f203";
}
.fa-toggle-off:before {
  content: "\f204";
}
.fa-toggle-on:before {
  content: "\f205";
}
.fa-bicycle:before {
  content: "\f206";
}
.fa-bus:before {
  content: "\f207";
}
.fa-ioxhost:before {
  content: "\f208";
}
.fa-angellist:before {
  content: "\f209";
}
.fa-cc:before {
  content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
  content: "\f20b";
}
.fa-meanpath:before {
  content: "\f20c";
}
.fa-buysellads:before {
  content: "\f20d";
}
.fa-connectdevelop:before {
  content: "\f20e";
}
.fa-dashcube:before {
  content: "\f210";
}
.fa-forumbee:before {
  content: "\f211";
}
.fa-leanpub:before {
  content: "\f212";
}
.fa-sellsy:before {
  content: "\f213";
}
.fa-shirtsinbulk:before {
  content: "\f214";
}
.fa-simplybuilt:before {
  content: "\f215";
}
.fa-skyatlas:before {
  content: "\f216";
}
.fa-cart-plus:before {
  content: "\f217";
}
.fa-cart-arrow-down:before {
  content: "\f218";
}
.fa-diamond:before {
  content: "\f219";
}
.fa-ship:before {
  content: "\f21a";
}
.fa-user-secret:before {
  content: "\f21b";
}
.fa-motorcycle:before {
  content: "\f21c";
}
.fa-street-view:before {
  content: "\f21d";
}
.fa-heartbeat:before {
  content: "\f21e";
}
.fa-venus:before {
  content: "\f221";
}
.fa-mars:before {
  content: "\f222";
}
.fa-mercury:before {
  content: "\f223";
}
.fa-intersex:before,
.fa-transgender:before {
  content: "\f224";
}
.fa-transgender-alt:before {
  content: "\f225";
}
.fa-venus-double:before {
  content: "\f226";
}
.fa-mars-double:before {
  content: "\f227";
}
.fa-venus-mars:before {
  content: "\f228";
}
.fa-mars-stroke:before {
  content: "\f229";
}
.fa-mars-stroke-v:before {
  content: "\f22a";
}
.fa-mars-stroke-h:before {
  content: "\f22b";
}
.fa-neuter:before {
  content: "\f22c";
}
.fa-genderless:before {
  content: "\f22d";
}
.fa-facebook-official:before {
  content: "\f230";
}
.fa-pinterest-p:before {
  content: "\f231";
}
.fa-whatsapp:before {
  content: "\f232";
}
.fa-server:before {
  content: "\f233";
}
.fa-user-plus:before {
  content: "\f234";
}
.fa-user-times:before {
  content: "\f235";
}
.fa-hotel:before,
.fa-bed:before {
  content: "\f236";
}
.fa-viacoin:before {
  content: "\f237";
}
.fa-train:before {
  content: "\f238";
}
.fa-subway:before {
  content: "\f239";
}
.fa-medium:before {
  content: "\f23a";
}
.fa-yc:before,
.fa-y-combinator:before {
  content: "\f23b";
}
.fa-optin-monster:before {
  content: "\f23c";
}
.fa-opencart:before {
  content: "\f23d";
}
.fa-expeditedssl:before {
  content: "\f23e";
}
.fa-battery-4:before,
.fa-battery:before,
.fa-battery-full:before {
  content: "\f240";
}
.fa-battery-3:before,
.fa-battery-three-quarters:before {
  content: "\f241";
}
.fa-battery-2:before,
.fa-battery-half:before {
  content: "\f242";
}
.fa-battery-1:before,
.fa-battery-quarter:before {
  content: "\f243";
}
.fa-battery-0:before,
.fa-battery-empty:before {
  content: "\f244";
}
.fa-mouse-pointer:before {
  content: "\f245";
}
.fa-i-cursor:before {
  content: "\f246";
}
.fa-object-group:before {
  content: "\f247";
}
.fa-object-ungroup:before {
  content: "\f248";
}
.fa-sticky-note:before {
  content: "\f249";
}
.fa-sticky-note-o:before {
  content: "\f24a";
}
.fa-cc-jcb:before {
  content: "\f24b";
}
.fa-cc-diners-club:before {
  content: "\f24c";
}
.fa-clone:before {
  content: "\f24d";
}
.fa-balance-scale:before {
  content: "\f24e";
}
.fa-hourglass-o:before {
  content: "\f250";
}
.fa-hourglass-1:before,
.fa-hourglass-start:before {
  content: "\f251";
}
.fa-hourglass-2:before,
.fa-hourglass-half:before {
  content: "\f252";
}
.fa-hourglass-3:before,
.fa-hourglass-end:before {
  content: "\f253";
}
.fa-hourglass:before {
  content: "\f254";
}
.fa-hand-grab-o:before,
.fa-hand-rock-o:before {
  content: "\f255";
}
.fa-hand-stop-o:before,
.fa-hand-paper-o:before {
  content: "\f256";
}
.fa-hand-scissors-o:before {
  content: "\f257";
}
.fa-hand-lizard-o:before {
  content: "\f258";
}
.fa-hand-spock-o:before {
  content: "\f259";
}
.fa-hand-pointer-o:before {
  content: "\f25a";
}
.fa-hand-peace-o:before {
  content: "\f25b";
}
.fa-trademark:before {
  content: "\f25c";
}
.fa-registered:before {
  content: "\f25d";
}
.fa-creative-commons:before {
  content: "\f25e";
}
.fa-gg:before {
  content: "\f260";
}
.fa-gg-circle:before {
  content: "\f261";
}
.fa-tripadvisor:before {
  content: "\f262";
}
.fa-odnoklassniki:before {
  content: "\f263";
}
.fa-odnoklassniki-square:before {
  content: "\f264";
}
.fa-get-pocket:before {
  content: "\f265";
}
.fa-wikipedia-w:before {
  content: "\f266";
}
.fa-safari:before {
  content: "\f267";
}
.fa-chrome:before {
  content: "\f268";
}
.fa-firefox:before {
  content: "\f269";
}
.fa-opera:before {
  content: "\f26a";
}
.fa-internet-explorer:before {
  content: "\f26b";
}
.fa-tv:before,
.fa-television:before {
  content: "\f26c";
}
.fa-contao:before {
  content: "\f26d";
}
.fa-500px:before {
  content: "\f26e";
}
.fa-amazon:before {
  content: "\f270";
}
.fa-calendar-plus-o:before {
  content: "\f271";
}
.fa-calendar-minus-o:before {
  content: "\f272";
}
.fa-calendar-times-o:before {
  content: "\f273";
}
.fa-calendar-check-o:before {
  content: "\f274";
}
.fa-industry:before {
  content: "\f275";
}
.fa-map-pin:before {
  content: "\f276";
}
.fa-map-signs:before {
  content: "\f277";
}
.fa-map-o:before {
  content: "\f278";
}
.fa-map:before {
  content: "\f279";
}
.fa-commenting:before {
  content: "\f27a";
}
.fa-commenting-o:before {
  content: "\f27b";
}
.fa-houzz:before {
  content: "\f27c";
}
.fa-vimeo:before {
  content: "\f27d";
}
.fa-black-tie:before {
  content: "\f27e";
}
.fa-fonticons:before {
  content: "\f280";
}
.fa-reddit-alien:before {
  content: "\f281";
}
.fa-edge:before {
  content: "\f282";
}
.fa-credit-card-alt:before {
  content: "\f283";
}
.fa-codiepie:before {
  content: "\f284";
}
.fa-modx:before {
  content: "\f285";
}
.fa-fort-awesome:before {
  content: "\f286";
}
.fa-usb:before {
  content: "\f287";
}
.fa-product-hunt:before {
  content: "\f288";
}
.fa-mixcloud:before {
  content: "\f289";
}
.fa-scribd:before {
  content: "\f28a";
}
.fa-pause-circle:before {
  content: "\f28b";
}
.fa-pause-circle-o:before {
  content: "\f28c";
}
.fa-stop-circle:before {
  content: "\f28d";
}
.fa-stop-circle-o:before {
  content: "\f28e";
}
.fa-shopping-bag:before {
  content: "\f290";
}
.fa-shopping-basket:before {
  content: "\f291";
}
.fa-hashtag:before {
  content: "\f292";
}
.fa-bluetooth:before {
  content: "\f293";
}
.fa-bluetooth-b:before {
  content: "\f294";
}
.fa-percent:before {
  content: "\f295";
}
.fa-gitlab:before {
  content: "\f296";
}
.fa-wpbeginner:before {
  content: "\f297";
}
.fa-wpforms:before {
  content: "\f298";
}
.fa-envira:before {
  content: "\f299";
}
.fa-universal-access:before {
  content: "\f29a";
}
.fa-wheelchair-alt:before {
  content: "\f29b";
}
.fa-question-circle-o:before {
  content: "\f29c";
}
.fa-blind:before {
  content: "\f29d";
}
.fa-audio-description:before {
  content: "\f29e";
}
.fa-volume-control-phone:before {
  content: "\f2a0";
}
.fa-braille:before {
  content: "\f2a1";
}
.fa-assistive-listening-systems:before {
  content: "\f2a2";
}
.fa-asl-interpreting:before,
.fa-american-sign-language-interpreting:before {
  content: "\f2a3";
}
.fa-deafness:before,
.fa-hard-of-hearing:before,
.fa-deaf:before {
  content: "\f2a4";
}
.fa-glide:before {
  content: "\f2a5";
}
.fa-glide-g:before {
  content: "\f2a6";
}
.fa-signing:before,
.fa-sign-language:before {
  content: "\f2a7";
}
.fa-low-vision:before {
  content: "\f2a8";
}
.fa-viadeo:before {
  content: "\f2a9";
}
.fa-viadeo-square:before {
  content: "\f2aa";
}
.fa-snapchat:before {
  content: "\f2ab";
}
.fa-snapchat-ghost:before {
  content: "\f2ac";
}
.fa-snapchat-square:before {
  content: "\f2ad";
}
.fa-pied-piper:before {
  content: "\f2ae";
}
.fa-first-order:before {
  content: "\f2b0";
}
.fa-yoast:before {
  content: "\f2b1";
}
.fa-themeisle:before {
  content: "\f2b2";
}
.fa-google-plus-circle:before,
.fa-google-plus-official:before {
  content: "\f2b3";
}
.fa-fa:before,
.fa-font-awesome:before {
  content: "\f2b4";
}
.fa-handshake-o:before {
  content: "\f2b5";
}
.fa-envelope-open:before {
  content: "\f2b6";
}
.fa-envelope-open-o:before {
  content: "\f2b7";
}
.fa-linode:before {
  content: "\f2b8";
}
.fa-address-book:before {
  content: "\f2b9";
}
.fa-address-book-o:before {
  content: "\f2ba";
}
.fa-vcard:before,
.fa-address-card:before {
  content: "\f2bb";
}
.fa-vcard-o:before,
.fa-address-card-o:before {
  content: "\f2bc";
}
.fa-user-circle:before {
  content: "\f2bd";
}
.fa-user-circle-o:before {
  content: "\f2be";
}
.fa-user-o:before {
  content: "\f2c0";
}
.fa-id-badge:before {
  content: "\f2c1";
}
.fa-drivers-license:before,
.fa-id-card:before {
  content: "\f2c2";
}
.fa-drivers-license-o:before,
.fa-id-card-o:before {
  content: "\f2c3";
}
.fa-quora:before {
  content: "\f2c4";
}
.fa-free-code-camp:before {
  content: "\f2c5";
}
.fa-telegram:before {
  content: "\f2c6";
}
.fa-thermometer-4:before,
.fa-thermometer:before,
.fa-thermometer-full:before {
  content: "\f2c7";
}
.fa-thermometer-3:before,
.fa-thermometer-three-quarters:before {
  content: "\f2c8";
}
.fa-thermometer-2:before,
.fa-thermometer-half:before {
  content: "\f2c9";
}
.fa-thermometer-1:before,
.fa-thermometer-quarter:before {
  content: "\f2ca";
}
.fa-thermometer-0:before,
.fa-thermometer-empty:before {
  content: "\f2cb";
}
.fa-shower:before {
  content: "\f2cc";
}
.fa-bathtub:before,
.fa-s15:before,
.fa-bath:before {
  content: "\f2cd";
}
.fa-podcast:before {
  content: "\f2ce";
}
.fa-window-maximize:before {
  content: "\f2d0";
}
.fa-window-minimize:before {
  content: "\f2d1";
}
.fa-window-restore:before {
  content: "\f2d2";
}
.fa-times-rectangle:before,
.fa-window-close:before {
  content: "\f2d3";
}
.fa-times-rectangle-o:before,
.fa-window-close-o:before {
  content: "\f2d4";
}
.fa-bandcamp:before {
  content: "\f2d5";
}
.fa-grav:before {
  content: "\f2d6";
}
.fa-etsy:before {
  content: "\f2d7";
}
.fa-imdb:before {
  content: "\f2d8";
}
.fa-ravelry:before {
  content: "\f2d9";
}
.fa-eercast:before {
  content: "\f2da";
}
.fa-microchip:before {
  content: "\f2db";
}
.fa-snowflake-o:before {
  content: "\f2dc";
}
.fa-superpowers:before {
  content: "\f2dd";
}
.fa-wpexplorer:before {
  content: "\f2de";
}
.fa-meetup:before {
  content: "\f2e0";
}
.sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  padding: 0;
  margin: -1px;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
  position: static;
  width: auto;
  height: auto;
  margin: 0;
  overflow: visible;
  clip: auto;
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
  -webkit-transform: translate(0, 0);
  -ms-transform: translate(0, 0);
  -o-transform: translate(0, 0);
  transform: translate(0, 0);
}
code {
  color: #000000;
}
pre {
  font-size: inherit;
  line-height: inherit;
}
label {
  font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.corner-all {
  border-radius: 2px;
}
.no-padding {
  padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatibility layer.  It allows the usage of flexible box 
model layouts accross multiple browsers, including older browsers.  The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below).  Browsers that are known to implement this 
new spec completely include:

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

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

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

*/
.highlight-base {
  color: #000000;
}
.highlight-variable {
  color: #000000;
}
.highlight-variable-2 {
  color: #1a1a1a;
}
.highlight-variable-3 {
  color: #333333;
}
.highlight-string {
  color: #BA2121;
}
.highlight-comment {
  color: #007979;
  font-style: italic;
}
.highlight-number {
  color: #080;
}
.highlight-atom {
  color: #88F;
}
.highlight-keyword {
  color: #008000;
  font-weight: bold;
}
.highlight-builtin {
  color: #008000;
}
.highlight-error {
  color: #f00;
}
.highlight-operator {
  color: #AA22FF;
  font-weight: bold;
}
.highlight-meta {
  color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
  color: #00f;
}
.highlight-string-2 {
  color: #f50;
}
.highlight-qualifier {
  color: #555;
}
.highlight-bracket {
  color: #997;
}
.highlight-tag {
  color: #170;
}
.highlight-attribute {
  color: #00c;
}
.highlight-header {
  color: blue;
}
.highlight-quote {
  color: #090;
}
.highlight-link {
  color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
  color: #008000;
  font-weight: bold;
}
.cm-s-ipython span.cm-atom {
  color: #88F;
}
.cm-s-ipython span.cm-number {
  color: #080;
}
.cm-s-ipython span.cm-def {
  color: #00f;
}
.cm-s-ipython span.cm-variable {
  color: #000000;
}
.cm-s-ipython span.cm-operator {
  color: #AA22FF;
  font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
  color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
  color: #333333;
}
.cm-s-ipython span.cm-comment {
  color: #007979;
  font-style: italic;
}
.cm-s-ipython span.cm-string {
  color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
  color: #f50;
}
.cm-s-ipython span.cm-meta {
  color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
  color: #555;
}
.cm-s-ipython span.cm-builtin {
  color: #008000;
}
.cm-s-ipython span.cm-bracket {
  color: #997;
}
.cm-s-ipython span.cm-tag {
  color: #170;
}
.cm-s-ipython span.cm-attribute {
  color: #00c;
}
.cm-s-ipython span.cm-header {
  color: blue;
}
.cm-s-ipython span.cm-quote {
  color: #090;
}
.cm-s-ipython span.cm-link {
  color: #00c;
}
.cm-s-ipython span.cm-error {
  color: #f00;
}
.cm-s-ipython span.cm-tab {
  background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
  background-position: right;
  background-repeat: no-repeat;
}
div.output_wrapper {
  /* this position must be relative to enable descendents to be absolute within it */
  position: relative;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
  /* ideally, this would be max-height, but FF barfs all over that */
  height: 24em;
  /* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
  width: 100%;
  overflow: auto;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
  display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
  margin: 0px;
  padding: 0px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
div.out_prompt_overlay {
  height: 100%;
  padding: 0px 0.4em;
  position: absolute;
  border-radius: 2px;
}
div.out_prompt_overlay:hover {
  /* use inner shadow to get border that is computed the same on WebKit/FF */
  -webkit-box-shadow: inset 0 0 1px #000000;
  box-shadow: inset 0 0 1px #000000;
  background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
  color: #d84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
  padding: 0px;
  page-break-inside: avoid;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
div.output_area .MathJax_Display {
  text-align: left !important;
}
div.output_area .rendered_html table {
  margin-left: 0;
  margin-right: 0;
}
div.output_area .rendered_html img {
  margin-left: 0;
  margin-right: 0;
}
div.output_area img,
div.output_area svg {
  max-width: 100%;
  height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
  max-width: none;
}
div.output_area .mglyph > img {
  max-width: none;
}
/* This is needed to protect the pre formating from global settings such
   as that of bootstrap */
.output {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: vertical;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: vertical;
  -moz-box-align: stretch;
  display: box;
  box-orient: vertical;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: column;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@media (max-width: 540px) {
  div.output_area {
    /* Old browsers */
    display: -webkit-box;
    -webkit-box-orient: vertical;
    -webkit-box-align: stretch;
    display: -moz-box;
    -moz-box-orient: vertical;
    -moz-box-align: stretch;
    display: box;
    box-orient: vertical;
    box-align: stretch;
    /* Modern browsers */
    display: flex;
    flex-direction: column;
    align-items: stretch;
    /* Old browsers */
    -webkit-box-flex: 0;
    -moz-box-flex: 0;
    box-flex: 0;
    /* Modern browsers */
    flex: none;
  }
}
div.output_area pre {
  margin: 0;
  padding: 1px 0 1px 0;
  border: 0;
  vertical-align: baseline;
  color: #000000;
  background-color: transparent;
  border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
   the prompt div. */
div.output_subarea {
  overflow-x: auto;
  padding: 0.4em;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
  max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
  overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
   output types */
/* all text output has this class: */
div.output_text {
  text-align: left;
  color: #000000;
  /* This has to match that of the the CodeMirror class line-height below */
  line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
  background: #fdd;
  /* very light red background for stderr */
}
div.output_latex {
  text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
  padding: 0;
}
.js-error {
  color: darkred;
}
/* raw_input styles */
div.raw_input_container {
  line-height: 1.21429em;
  padding-top: 5px;
}
pre.raw_input_prompt {
  /* nothing needed here. */
}
input.raw_input {
  font-family: monospace;
  font-size: inherit;
  color: inherit;
  width: auto;
  /* make sure input baseline aligns with prompt */
  vertical-align: baseline;
  /* padding + margin = 0.5em between prompt and cursor */
  padding: 0em 0.25em;
  margin: 0em 0.25em;
}
input.raw_input:focus {
  box-shadow: none;
}
p.p-space {
  margin-bottom: 10px;
}
div.output_unrecognized {
  padding: 5px;
  font-weight: bold;
  color: red;
}
div.output_unrecognized a {
  color: inherit;
  text-decoration: none;
}
div.output_unrecognized a:hover {
  color: inherit;
  text-decoration: none;
}
.rendered_html {
  color: #000000;
  /* any extras will just be numbers: */
}
.rendered_html em {
  font-style: italic;
}
.rendered_html strong {
  font-weight: bold;
}
.rendered_html u {
  text-decoration: underline;
}
.rendered_html :link {
  text-decoration: underline;
}
.rendered_html :visited {
  text-decoration: underline;
}
.rendered_html h1 {
  font-size: 185.7%;
  margin: 1.08em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h2 {
  font-size: 157.1%;
  margin: 1.27em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h3 {
  font-size: 128.6%;
  margin: 1.55em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h4 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
}
.rendered_html h5 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h6 {
  font-size: 100%;
  margin: 2em 0 0 0;
  font-weight: bold;
  line-height: 1.0;
  font-style: italic;
}
.rendered_html h1:first-child {
  margin-top: 0.538em;
}
.rendered_html h2:first-child {
  margin-top: 0.636em;
}
.rendered_html h3:first-child {
  margin-top: 0.777em;
}
.rendered_html h4:first-child {
  margin-top: 1em;
}
.rendered_html h5:first-child {
  margin-top: 1em;
}
.rendered_html h6:first-child {
  margin-top: 1em;
}
.rendered_html ul:not(.list-inline),
.rendered_html ol:not(.list-inline) {
  padding-left: 2em;
}
.rendered_html ul {
  list-style: disc;
}
.rendered_html ul ul {
  list-style: square;
  margin-top: 0;
}
.rendered_html ul ul ul {
  list-style: circle;
}
.rendered_html ol {
  list-style: decimal;
}
.rendered_html ol ol {
  list-style: upper-alpha;
  margin-top: 0;
}
.rendered_html ol ol ol {
  list-style: lower-alpha;
}
.rendered_html ol ol ol ol {
  list-style: lower-roman;
}
.rendered_html ol ol ol ol ol {
  list-style: decimal;
}
.rendered_html * + ul {
  margin-top: 1em;
}
.rendered_html * + ol {
  margin-top: 1em;
}
.rendered_html hr {
  color: #000000;
  background-color: #000000;
}
.rendered_html pre {
  margin: 1em 2em;
  padding: 0px;
  background-color: #ffffff;
}
.rendered_html code {
  background-color: #eff0f1;
}
.rendered_html p code {
  padding: 1px 5px;
}
.rendered_html pre code {
  background-color: #ffffff;
}
.rendered_html pre,
.rendered_html code {
  border: 0;
  color: #000000;
  font-size: 100%;
}
.rendered_html blockquote {
  margin: 1em 2em;
}
.rendered_html table {
  margin-left: auto;
  margin-right: auto;
  border: none;
  border-collapse: collapse;
  border-spacing: 0;
  color: #000000;
  font-size: 12px;
  table-layout: fixed;
}
.rendered_html thead {
  border-bottom: 1px solid #000000;
  vertical-align: bottom;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
  text-align: right;
  vertical-align: middle;
  padding: 0.5em 0.5em;
  line-height: normal;
  white-space: normal;
  max-width: none;
  border: none;
}
.rendered_html th {
  font-weight: bold;
}
.rendered_html tbody tr:nth-child(odd) {
  background: #f5f5f5;
}
.rendered_html tbody tr:hover {
  background: rgba(66, 165, 245, 0.2);
}
.rendered_html * + table {
  margin-top: 1em;
}
.rendered_html p {
  text-align: left;
}
.rendered_html * + p {
  margin-top: 1em;
}
.rendered_html img {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
.rendered_html * + img {
  margin-top: 1em;
}
.rendered_html img,
.rendered_html svg {
  max-width: 100%;
  height: auto;
}
.rendered_html img.unconfined,
.rendered_html svg.unconfined {
  max-width: none;
}
.rendered_html .alert {
  margin-bottom: initial;
}
.rendered_html * + .alert {
  margin-top: 1em;
}
[dir="rtl"] .rendered_html p {
  text-align: right;
}
div.text_cell {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
}
@media (max-width: 540px) {
  div.text_cell > div.prompt {
    display: none;
  }
}
div.text_cell_render {
  /*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
  outline: none;
  resize: none;
  width: inherit;
  border-style: none;
  padding: 0.5em 0.5em 0.5em 0.4em;
  color: #000000;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
a.anchor-link:link {
  text-decoration: none;
  padding: 0px 20px;
  visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
  visibility: visible;
}
.text_cell.rendered .input_area {
  display: none;
}
.text_cell.rendered .rendered_html {
  overflow-x: auto;
  overflow-y: hidden;
}
.text_cell.rendered .rendered_html tr,
.text_cell.rendered .rendered_html th,
.text_cell.rendered .rendered_html td {
  max-width: none;
}
.text_cell.unrendered .text_cell_render {
  display: none;
}
.text_cell .dropzone .input_area {
  border: 2px dashed #bababa;
  margin: -1px;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
  font-weight: bold;
  font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
  font-size: 185.7%;
}
.cm-header-2 {
  font-size: 157.1%;
}
.cm-header-3 {
  font-size: 128.6%;
}
.cm-header-4 {
  font-size: 110%;
}
.cm-header-5 {
  font-size: 100%;
  font-style: italic;
}
.cm-header-6 {
  font-size: 100%;
  font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
  .notebook_app {
    padding-left: 0px;
    padding-right: 0px;
  }
}
#ipython-main-app {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook_panel {
  margin: 0px;
  padding: 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  height: 100%;
}
div#notebook {
  font-size: 14px;
  line-height: 20px;
  overflow-y: hidden;
  overflow-x: auto;
  width: 100%;
  /* This spaces the page away from the edge of the notebook area */
  padding-top: 20px;
  padding-bottom: 20px;
  margin: 0px;
  outline: none;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  min-height: 100%;
}
@media not print {
  #notebook-container {
    padding: 15px;
    background-color: #ffffff;
    min-height: 0;
    -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
    box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  }
}
@media print {
  #notebook-container {
    width: 100%;
  }
}
div.ui-widget-content {
  border: 1px solid #ababab;
  outline: none;
}
pre.dialog {
  background-color: #f7f7f7;
  border: 1px solid #ddd;
  border-radius: 2px;
  padding: 0.4em;
  padding-left: 2em;
}
p.dialog {
  padding: 0.2em;
}
/* Word-wrap output correctly.  This is the CSS3 spelling, though Firefox seems
   to not honor it correctly.  Webkit browsers (Chrome, rekonq, Safari) do.
 */
pre,
code,
kbd,
samp {
  white-space: pre-wrap;
}
#fonttest {
  font-family: monospace;
}
p {
  margin-bottom: 0;
}
.end_space {
  min-height: 100px;
  transition: height .2s ease;
}
.notebook_app > #header {
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
  .notebook_app {
    background-color: #eeeeee;
  }
}
kbd {
  border-style: solid;
  border-width: 1px;
  box-shadow: none;
  margin: 2px;
  padding-left: 2px;
  padding-right: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
.jupyter-keybindings {
  padding: 1px;
  line-height: 24px;
  border-bottom: 1px solid gray;
}
.jupyter-keybindings input {
  margin: 0;
  padding: 0;
  border: none;
}
.jupyter-keybindings i {
  padding: 6px;
}
.well code {
  background-color: #ffffff;
  border-color: #ababab;
  border-width: 1px;
  border-style: solid;
  padding: 2px;
  padding-top: 1px;
  padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
  border: thin solid #CFCFCF;
  border-bottom: none;
  background: #EEE;
  border-radius: 2px 2px 0px 0px;
  width: 100%;
  height: 29px;
  padding-right: 4px;
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  /* Old browsers */
  -webkit-box-pack: end;
  -moz-box-pack: end;
  box-pack: end;
  /* Modern browsers */
  justify-content: flex-end;
  display: -webkit-flex;
}
@media print {
  .celltoolbar {
    display: none;
  }
}
.ctb_hideshow {
  display: none;
  vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
   Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
  display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border-top-right-radius: 0px;
  border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
  border: 1px solid #cfcfcf;
}
.celltoolbar {
  font-size: 87%;
  padding-top: 3px;
}
.celltoolbar select {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  width: inherit;
  font-size: inherit;
  height: 22px;
  padding: 0px;
  display: inline-block;
}
.celltoolbar select:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
  color: #999999;
  opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
  color: #999999;
}
.celltoolbar select::-webkit-input-placeholder {
  color: #999999;
}
.celltoolbar select::-ms-expand {
  background-color: transparent;
  border: 0;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
  background-color: #eeeeee;
  opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
  cursor: not-allowed;
}
textarea.celltoolbar select {
  height: auto;
}
select.celltoolbar select {
  height: 30px;
  line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
  height: auto;
}
.celltoolbar label {
  margin-left: 5px;
  margin-right: 5px;
}
.tags_button_container {
  width: 100%;
  display: flex;
}
.tag-container {
  display: flex;
  flex-direction: row;
  flex-grow: 1;
  overflow: hidden;
  position: relative;
}
.tag-container > * {
  margin: 0 4px;
}
.remove-tag-btn {
  margin-left: 4px;
}
.tags-input {
  display: flex;
}
.cell-tag:last-child:after {
  content: "";
  position: absolute;
  right: 0;
  width: 40px;
  height: 100%;
  /* Fade to background color of cell toolbar */
  background: linear-gradient(to right, rgba(0, 0, 0, 0), #eeeeee);
}
.tags-input > * {
  margin-left: 4px;
}
.cell-tag,
.tags-input input,
.tags-input button {
  display: block;
  width: 100%;
  height: 32px;
  padding: 6px 12px;
  font-size: 13px;
  line-height: 1.42857143;
  color: #555555;
  background-color: #ffffff;
  background-image: none;
  border: 1px solid #cccccc;
  border-radius: 2px;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
  -webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  -o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
  height: 30px;
  padding: 5px 10px;
  font-size: 12px;
  line-height: 1.5;
  border-radius: 1px;
  box-shadow: none;
  width: inherit;
  font-size: inherit;
  height: 22px;
  line-height: 22px;
  padding: 0px 4px;
  display: inline-block;
}
.cell-tag:focus,
.tags-input input:focus,
.tags-input button:focus {
  border-color: #66afe9;
  outline: 0;
  -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
  box-shadow: inset 0 1px 1px rgba(0, 0, 0, .075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.cell-tag::-moz-placeholder,
.tags-input input::-moz-placeholder,
.tags-input button::-moz-placeholder {
  color: #999999;
  opacity: 1;
}
.cell-tag:-ms-input-placeholder,
.tags-input input:-ms-input-placeholder,
.tags-input button:-ms-input-placeholder {
  color: #999999;
}
.cell-tag::-webkit-input-placeholder,
.tags-input input::-webkit-input-placeholder,
.tags-input button::-webkit-input-placeholder {
  color: #999999;
}
.cell-tag::-ms-expand,
.tags-input input::-ms-expand,
.tags-input button::-ms-expand {
  background-color: transparent;
  border: 0;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
.cell-tag[readonly],
.tags-input input[readonly],
.tags-input button[readonly],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  background-color: #eeeeee;
  opacity: 1;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
  cursor: not-allowed;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button {
  height: auto;
}
select.cell-tag,
select.tags-input input,
select.tags-input button {
  height: 30px;
  line-height: 30px;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button,
select[multiple].cell-tag,
select[multiple].tags-input input,
select[multiple].tags-input button {
  height: auto;
}
.cell-tag,
.tags-input button {
  padding: 0px 4px;
}
.cell-tag {
  background-color: #fff;
  white-space: nowrap;
}
.tags-input input[type=text]:focus {
  outline: none;
  box-shadow: none;
  border-color: #ccc;
}
.completions {
  position: absolute;
  z-index: 110;
  overflow: hidden;
  border: 1px solid #ababab;
  border-radius: 2px;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  line-height: 1;
}
.completions select {
  background: white;
  outline: none;
  border: none;
  padding: 0px;
  margin: 0px;
  overflow: auto;
  font-family: monospace;
  font-size: 110%;
  color: #000000;
  width: auto;
}
.completions select option.context {
  color: #286090;
}
#kernel_logo_widget .current_kernel_logo {
  display: none;
  margin-top: -1px;
  margin-bottom: -1px;
  width: 32px;
  height: 32px;
}
[dir="rtl"] #kernel_logo_widget {
  float: left !important;
  float: left;
}
.modal .modal-body .move-path {
  display: flex;
  flex-direction: row;
  justify-content: space;
  align-items: center;
}
.modal .modal-body .move-path .server-root {
  padding-right: 20px;
}
.modal .modal-body .move-path .path-input {
  flex: 1;
}
#menubar {
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
  margin-top: 1px;
}
#menubar .navbar {
  border-top: 1px;
  border-radius: 0px 0px 2px 2px;
  margin-bottom: 0px;
}
#menubar .navbar-toggle {
  float: left;
  padding-top: 7px;
  padding-bottom: 7px;
  border: none;
}
#menubar .navbar-collapse {
  clear: left;
}
[dir="rtl"] #menubar .navbar-toggle {
  float: right;
}
[dir="rtl"] #menubar .navbar-collapse {
  clear: right;
}
[dir="rtl"] #menubar .navbar-nav {
  float: right;
}
[dir="rtl"] #menubar .nav {
  padding-right: 0px;
}
[dir="rtl"] #menubar .navbar-nav > li {
  float: right;
}
[dir="rtl"] #menubar .navbar-right {
  float: left !important;
}
[dir="rtl"] ul.dropdown-menu {
  text-align: right;
  left: auto;
}
[dir="rtl"] ul#new-menu.dropdown-menu {
  right: auto;
  left: 0;
}
.nav-wrapper {
  border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
  padding-top: 4px;
}
[dir="rtl"] i.menu-icon.pull-right {
  float: left !important;
  float: left;
}
ul#help_menu li a {
  overflow: hidden;
  padding-right: 2.2em;
}
ul#help_menu li a i {
  margin-right: -1.2em;
}
[dir="rtl"] ul#help_menu li a {
  padding-left: 2.2em;
}
[dir="rtl"] ul#help_menu li a i {
  margin-right: 0;
  margin-left: -1.2em;
}
[dir="rtl"] ul#help_menu li a i.pull-right {
  float: left !important;
  float: left;
}
.dropdown-submenu {
  position: relative;
}
.dropdown-submenu > .dropdown-menu {
  top: 0;
  left: 100%;
  margin-top: -6px;
  margin-left: -1px;
}
[dir="rtl"] .dropdown-submenu > .dropdown-menu {
  right: 100%;
  margin-right: -1px;
}
.dropdown-submenu:hover > .dropdown-menu {
  display: block;
}
.dropdown-submenu > a:after {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  display: block;
  content: "\f0da";
  float: right;
  color: #333333;
  margin-top: 2px;
  margin-right: -10px;
}
.dropdown-submenu > a:after.fa-pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.fa-pull-right {
  margin-left: .3em;
}
.dropdown-submenu > a:after.pull-left {
  margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
  margin-left: .3em;
}
[dir="rtl"] .dropdown-submenu > a:after {
  float: left;
  content: "\f0d9";
  margin-right: 0;
  margin-left: -10px;
}
.dropdown-submenu:hover > a:after {
  color: #262626;
}
.dropdown-submenu.pull-left {
  float: none;
}
.dropdown-submenu.pull-left > .dropdown-menu {
  left: -100%;
  margin-left: 10px;
}
#notification_area {
  float: right !important;
  float: right;
  z-index: 10;
}
[dir="rtl"] #notification_area {
  float: left !important;
  float: left;
}
.indicator_area {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
[dir="rtl"] .indicator_area {
  float: left !important;
  float: left;
}
#kernel_indicator {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
  padding-left: 5px;
  padding-right: 5px;
}
[dir="rtl"] #kernel_indicator {
  float: left !important;
  float: left;
  border-left: 0;
  border-right: 1px solid;
}
#modal_indicator {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
}
[dir="rtl"] #modal_indicator {
  float: left !important;
  float: left;
}
#readonly-indicator {
  float: right !important;
  float: right;
  color: #565656;
  margin-left: 5px;
  margin-right: 5px;
  width: 11px;
  z-index: 10;
  text-align: center;
  width: auto;
  margin-top: 2px;
  margin-bottom: 0px;
  margin-left: 0px;
  margin-right: 0px;
  display: none;
}
.modal_indicator:before {
  width: 1.28571429em;
  text-align: center;
}
.edit_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f040";
}
.edit_mode .modal_indicator:before.fa-pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.edit_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.edit_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: ' ';
}
.command_mode .modal_indicator:before.fa-pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.fa-pull-right {
  margin-left: .3em;
}
.command_mode .modal_indicator:before.pull-left {
  margin-right: .3em;
}
.command_mode .modal_indicator:before.pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f10c";
}
.kernel_idle_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_idle_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_idle_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f111";
}
.kernel_busy_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_busy_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_busy_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f1e2";
}
.kernel_dead_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_dead_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_dead_icon:before.pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before {
  display: inline-block;
  font: normal normal normal 14px/1 FontAwesome;
  font-size: inherit;
  text-rendering: auto;
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  content: "\f127";
}
.kernel_disconnected_icon:before.fa-pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.fa-pull-right {
  margin-left: .3em;
}
.kernel_disconnected_icon:before.pull-left {
  margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
  margin-left: .3em;
}
.notification_widget {
  color: #565656;
  z-index: 10;
  background: rgba(240, 240, 240, 0.5);
  margin-right: 4px;
  color: #333333;
  background-color: #ffffff;
  border-color: #cccccc;
}
.notification_widget:focus,
.notification_widget.focus {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #8c8c8c;
}
.notification_widget:hover {
  color: #333333;
  background-color: #e6e6e6;
  border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
  color: #333333;
  background-color: #e6e6e6;
  background-image: none;
  border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
  color: #333333;
  background-color: #d4d4d4;
  border-color: #8c8c8c;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
  background-color: #ffffff;
  border-color: #cccccc;
}
.notification_widget .badge {
  color: #ffffff;
  background-color: #333333;
}
.notification_widget.warning {
  background-color: #f0ad4e;
  border-color: #eea236;
  color: #ffffff;
  background-color: #b46102;
  border-color: #b46102;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #985f0d;
}
.notification_widget.warning:hover {
  color: #ffffff;
  background-color: #ec971f;
  border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
  color: #ffffff;
  background-color: #ec971f;
  background-image: none;
  border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
  color: #ffffff;
  background-color: #d58512;
  border-color: #985f0d;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
  background-color: #f0ad4e;
  border-color: #eea236;
}
.notification_widget.warning .badge {
  color: #f0ad4e;
  background-color: #ffffff;
}
.notification_widget.success {
  color: #ffffff;
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
  color: #ffffff;
  background-color: #449d44;
  border-color: #255625;
}
.notification_widget.success:hover {
  color: #ffffff;
  background-color: #449d44;
  border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
  color: #ffffff;
  background-color: #449d44;
  background-image: none;
  border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
  color: #ffffff;
  background-color: #398439;
  border-color: #255625;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
  background-color: #5cb85c;
  border-color: #4cae4c;
}
.notification_widget.success .badge {
  color: #5cb85c;
  background-color: #ffffff;
}
.notification_widget.info {
  color: #ffffff;
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #1b6d85;
}
.notification_widget.info:hover {
  color: #ffffff;
  background-color: #31b0d5;
  border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
  color: #ffffff;
  background-color: #31b0d5;
  background-image: none;
  border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
  color: #ffffff;
  background-color: #269abc;
  border-color: #1b6d85;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
  background-color: #5bc0de;
  border-color: #46b8da;
}
.notification_widget.info .badge {
  color: #5bc0de;
  background-color: #ffffff;
}
.notification_widget.danger {
  background-color: #d9534f;
  border-color: #d43f3a;
  color: #ffffff;
  background-color: #df0404;
  border-color: #df0404;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #761c19;
}
.notification_widget.danger:hover {
  color: #ffffff;
  background-color: #c9302c;
  border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
  color: #ffffff;
  background-color: #c9302c;
  background-image: none;
  border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
  color: #ffffff;
  background-color: #ac2925;
  border-color: #761c19;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
  background-color: #d9534f;
  border-color: #d43f3a;
}
.notification_widget.danger .badge {
  color: #d9534f;
  background-color: #ffffff;
}
div#pager {
  background-color: #ffffff;
  font-size: 14px;
  line-height: 20px;
  overflow: hidden;
  display: none;
  position: fixed;
  bottom: 0px;
  width: 100%;
  max-height: 50%;
  padding-top: 8px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  /* Display over codemirror */
  z-index: 100;
  /* Hack which prevents jquery ui resizable from changing top. */
  top: auto !important;
}
div#pager pre {
  line-height: 1.21429em;
  color: #000000;
  background-color: #f7f7f7;
  padding: 0.4em;
}
div#pager #pager-button-area {
  position: absolute;
  top: 8px;
  right: 20px;
}
div#pager #pager-button-area .ui-button {
  padding-top: 0px;
  padding-bottom: 0px;
  padding-right: 10px;
  padding-left: 10px;
}
div#pager #pager-contents {
  position: relative;
  overflow: auto;
  width: 100%;
  height: 100%;
}
div#pager #pager-contents #pager-container {
  position: relative;
  padding: 15px 0px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
  top: 0px;
  height: 8px;
  background: #f7f7f7;
  border-top: 1px solid #cfcfcf;
  border-bottom: 1px solid #cfcfcf;
  /* This injects handle bars (a short, wide = symbol) for 
        the resize handle. */
}
div#pager .ui-resizable-handle::after {
  content: '';
  top: 2px;
  left: 50%;
  height: 3px;
  width: 30px;
  margin-left: -15px;
  position: absolute;
  border-top: 1px solid #cfcfcf;
}
.quickhelp {
  /* Old browsers */
  display: -webkit-box;
  -webkit-box-orient: horizontal;
  -webkit-box-align: stretch;
  display: -moz-box;
  -moz-box-orient: horizontal;
  -moz-box-align: stretch;
  display: box;
  box-orient: horizontal;
  box-align: stretch;
  /* Modern browsers */
  display: flex;
  flex-direction: row;
  align-items: stretch;
  /* Old browsers */
  -webkit-box-flex: 0;
  -moz-box-flex: 0;
  box-flex: 0;
  /* Modern browsers */
  flex: none;
  line-height: 1.8em;
}
.shortcut_key {
  display: inline-block;
  width: 21ex;
  text-align: right;
  font-family: monospace;
}
.shortcut_descr {
  display: inline-block;
  /* Old browsers */
  -webkit-box-flex: 1;
  -moz-box-flex: 1;
  box-flex: 1;
  /* Modern browsers */
  flex: 1;
}
span.save_widget {
  height: 30px;
  margin-top: 4px;
  display: flex;
  justify-content: flex-start;
  align-items: baseline;
  width: 50%;
  flex: 1;
}
span.save_widget span.filename {
  height: 100%;
  line-height: 1em;
  margin-left: 16px;
  border: none;
  font-size: 146.5%;
  text-overflow: ellipsis;
  overflow: hidden;
  white-space: nowrap;
  border-radius: 2px;
}
span.save_widget span.filename:hover {
  background-color: #e6e6e6;
}
[dir="rtl"] span.save_widget.pull-left {
  float: right !important;
  float: right;
}
[dir="rtl"] span.save_widget span.filename {
  margin-left: 0;
  margin-right: 16px;
}
span.checkpoint_status,
span.autosave_status {
  font-size: small;
  white-space: nowrap;
  padding: 0 5px;
}
@media (max-width: 767px) {
  span.save_widget {
    font-size: small;
    padding: 0 0 0 5px;
  }
  span.checkpoint_status,
  span.autosave_status {
    display: none;
  }
}
@media (min-width: 768px) and (max-width: 991px) {
  span.checkpoint_status {
    display: none;
  }
  span.autosave_status {
    font-size: x-small;
  }
}
.toolbar {
  padding: 0px;
  margin-left: -5px;
  margin-top: 2px;
  margin-bottom: 5px;
  box-sizing: border-box;
  -moz-box-sizing: border-box;
  -webkit-box-sizing: border-box;
}
.toolbar select,
.toolbar label {
  width: auto;
  vertical-align: middle;
  margin-right: 2px;
  margin-bottom: 0px;
  display: inline;
  font-size: 92%;
  margin-left: 0.3em;
  margin-right: 0.3em;
  padding: 0px;
  padding-top: 3px;
}
.toolbar .btn {
  padding: 2px 8px;
}
.toolbar .btn-group {
  margin-top: 0px;
  margin-left: 5px;
}
.toolbar-btn-label {
  margin-left: 6px;
}
#maintoolbar {
  margin-bottom: -3px;
  margin-top: -8px;
  border: 0px;
  min-height: 27px;
  margin-left: 0px;
  padding-top: 11px;
  padding-bottom: 3px;
}
#maintoolbar .navbar-text {
  float: none;
  vertical-align: middle;
  text-align: right;
  margin-left: 5px;
  margin-right: 0px;
  margin-top: 0px;
}
.select-xs {
  height: 24px;
}
[dir="rtl"] .btn-group > .btn,
.btn-group-vertical > .btn {
  float: right;
}
.pulse,
.dropdown-menu > li > a.pulse,
li.pulse > a.dropdown-toggle,
li.pulse.open > a.dropdown-toggle {
  background-color: #F37626;
  color: white;
}
/**
 * Primary styles
 *
 * Author: Jupyter Development Team
 */
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
 * of chance of beeing generated from the ../less/[samename].less file, you can
 * try to get back the less file by reverting somme commit in history
 **/
/*
 * We'll try to get something pretty, so we
 * have some strange css to have the scroll bar on
 * the left with fix button on the top right of the tooltip
 */
@-moz-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-webkit-keyframes fadeOut {
  from {
    opacity: 1;
  }
  to {
    opacity: 0;
  }
}
@-moz-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
@-webkit-keyframes fadeIn {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
/*properties of tooltip after "expand"*/
.bigtooltip {
  overflow: auto;
  height: 200px;
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
}
/*properties of tooltip before "expand"*/
.smalltooltip {
  -webkit-transition-property: height;
  -webkit-transition-duration: 500ms;
  -moz-transition-property: height;
  -moz-transition-duration: 500ms;
  transition-property: height;
  transition-duration: 500ms;
  text-overflow: ellipsis;
  overflow: hidden;
  height: 85px;
}
.tooltipbuttons {
  position: absolute;
  padding-right: 15px;
  top: 0px;
  right: 0px;
}
.tooltipbuttons .ui-button {
  padding-top: 0px;
  padding-bottom: 0px;
  padding-right: 10px;
  padding-left: 10px;
}
.tooltiptext {
  /*avoid the button to overlap on some docstring*/
  padding-right: 30px;
  /*avoid the ui-icon(s) from overlapping the tooltip*/
  padding-top: 5px;
}
.ipython_tooltip {
  max-width: 700px;
  /*fade-in animation when inserted*/
  -webkit-animation: fadeOut 400ms;
  -moz-animation: fadeOut 400ms;
  animation: fadeOut 400ms;
  -webkit-animation: fadeIn 400ms;
  -moz-animation: fadeIn 400ms;
  animation: fadeIn 400ms;
  vertical-align: middle;
  background-color: #f7f7f7;
  overflow: visible;
  border: #ababab 1px solid;
  outline: none;
  padding: 3px;
  margin: 0px;
  padding-left: 7px;
  font-family: monospace;
  min-height: 50px;
  -moz-box-shadow: 0px 6px 10px -1px #adadad;
  -webkit-box-shadow: 0px 6px 10px -1px #adadad;
  box-shadow: 0px 6px 10px -1px #adadad;
  border-radius: 2px;
  position: absolute;
  z-index: 1000;
}
.ipython_tooltip a {
  float: right;
}
.ipython_tooltip .tooltiptext pre {
  border: 0;
  border-radius: 0;
  font-size: 100%;
  background-color: #f7f7f7;
}
.pretooltiparrow {
  left: 0px;
  margin: 0px;
  top: -16px;
  width: 40px;
  height: 16px;
  overflow: hidden;
  position: absolute;
}
.pretooltiparrow:before {
  background-color: #f7f7f7;
  border: 1px #ababab solid;
  z-index: 11;
  content: "";
  position: absolute;
  left: 15px;
  top: 10px;
  width: 25px;
  height: 25px;
  -webkit-transform: rotate(45deg);
  -moz-transform: rotate(45deg);
  -ms-transform: rotate(45deg);
  -o-transform: rotate(45deg);
}
ul.typeahead-list i {
  margin-left: -10px;
  width: 18px;
}
[dir="rtl"] ul.typeahead-list i {
  margin-left: 0;
  margin-right: -10px;
}
ul.typeahead-list {
  max-height: 80vh;
  overflow: auto;
}
ul.typeahead-list > li > a {
  /** Firefox bug **/
  /* see https://github.com/jupyter/notebook/issues/559 */
  white-space: normal;
}
ul.typeahead-list  > li > a.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .typeahead-list {
  text-align: right;
}
.cmd-palette .modal-body {
  padding: 7px;
}
.cmd-palette form {
  background: white;
}
.cmd-palette input {
  outline: none;
}
.no-shortcut {
  min-width: 20px;
  color: transparent;
}
[dir="rtl"] .no-shortcut.pull-right {
  float: left !important;
  float: left;
}
[dir="rtl"] .command-shortcut.pull-right {
  float: left !important;
  float: left;
}
.command-shortcut:before {
  content: "(command mode)";
  padding-right: 3px;
  color: #777777;
}
.edit-shortcut:before {
  content: "(edit)";
  padding-right: 3px;
  color: #777777;
}
[dir="rtl"] .edit-shortcut.pull-right {
  float: left !important;
  float: left;
}
#find-and-replace #replace-preview .match,
#find-and-replace #replace-preview .insert {
  background-color: #BBDEFB;
  border-color: #90CAF9;
  border-style: solid;
  border-width: 1px;
  border-radius: 0px;
}
[dir="ltr"] #find-and-replace .input-group-btn + .form-control {
  border-left: none;
}
[dir="rtl"] #find-and-replace .input-group-btn + .form-control {
  border-right: none;
}
#find-and-replace #replace-preview .replace .match {
  background-color: #FFCDD2;
  border-color: #EF9A9A;
  border-radius: 0px;
}
#find-and-replace #replace-preview .replace .insert {
  background-color: #C8E6C9;
  border-color: #A5D6A7;
  border-radius: 0px;
}
#find-and-replace #replace-preview {
  max-height: 60vh;
  overflow: auto;
}
#find-and-replace #replace-preview pre {
  padding: 5px 10px;
}
.terminal-app {
  background: #eeeeee;
}
.terminal-app #header {
  background: #ffffff;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.terminal-app .terminal {
  width: 100%;
  float: left;
  font-family: monospace;
  color: white;
  background: black;
  padding: 0.4em;
  border-radius: 2px;
  -webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
  line-height: 1em;
  font-size: 14px;
}
.terminal-app .terminal .xterm-rows {
  padding: 10px;
}
.terminal-app .terminal-cursor {
  color: black;
  background: white;
}
.terminal-app .terminado-container-container {
  padding-top: 20px;
  height: 100%;
}
.terminal-app #terminado-container {
  height: 100%;
}
.btn-danger {
  color: #ffffff;
  background-color: #df0404;
  border-color: #df0404;
}
.btn-warning {
  color: #ffffff;
  background-color: #b46102;
  border-color: #b46102;
}
.close {
  float: right;
  font-size: 19.5px;
  font-weight: bold;
  line-height: 1;
  color: #000000;
  text-shadow: 0 1px 0 #ffffff;
  filter: alpha(opacity=60);
  opacity: 0.6;
}
.close:hover,
.close:focus {
  color: #000000;
  text-decoration: none;
  cursor: pointer;
  filter: alpha(opacity=100);
  opacity: 1;
}
button.close {
  padding: 0;
  cursor: pointer;
  background: transparent;
  border: 0;
  -webkit-appearance: none;
  appearance: none;
}
.navbar-nav > li > a {
  color: #565656;
}
.navbar-nav > li > a:focus {
  /* -webkit-focus-ring-color = '#5B9DD9' */
  outline: -webkit-focus-ring-color auto 5px;
}
/*# sourceMappingURL=style.min.css.map */
    </style>
<style type="text/css">
    .highlight .hll { background-color: #ffffcc }
.highlight  { background: #f8f8f8; }
.highlight .c { color: #408080; font-style: italic } /* Comment */
.highlight .err { border: 1px solid #FF0000 } /* Error */
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
.highlight .o { color: #666666 } /* Operator */
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
.highlight .cs { color: #408080; font-style: italic } /* Comment.Special */
.highlight .gd { color: #A00000 } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .gr { color: #FF0000 } /* Generic.Error */
.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
.highlight .gi { color: #00A000 } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #000080; font-weight: bold } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
.highlight .gt { color: #0044DD } /* Generic.Traceback */
.highlight .kc { color: #008000; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008000 } /* Keyword.Pseudo */
.highlight .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #B00040 } /* Keyword.Type */
.highlight .m { color: #666666 } /* Literal.Number */
.highlight .s { color: #BA2121 } /* Literal.String */
.highlight .na { color: #7D9029 } /* Name.Attribute */
.highlight .nb { color: #008000 } /* Name.Builtin */
.highlight .nc { color: #0000FF; font-weight: bold } /* Name.Class */
.highlight .no { color: #880000 } /* Name.Constant */
.highlight .nd { color: #AA22FF } /* Name.Decorator */
.highlight .ni { color: #999999; font-weight: bold } /* Name.Entity */
.highlight .ne { color: #D2413A; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0000FF } /* Name.Function */
.highlight .nl { color: #A0A000 } /* Name.Label */
.highlight .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */
.highlight .nt { color: #008000; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #19177C } /* Name.Variable */
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<h1 id="Least-Squares-Method-&amp;-Error-Estimations">Least Squares Method &amp; Error Estimations<a class="anchor-link" href="#Least-Squares-Method-&amp;-Error-Estimations">&#182;</a></h1><p><strong>FIZ353 - Numerical Analysis | 23/10/2020</strong></p>
<p>Emre S. Tasci <a href="mailto:emre.tasci@hacettepe.edu.tr">emre.tasci@hacettepe.edu.tr</a></p>

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<h1 id="Data-&amp;-Import">Data &amp; Import<a class="anchor-link" href="#Data-&amp;-Import">&#182;</a></h1><p>The free-fall data we will be using is taken from: D. Horvat &amp; R. Jecmenica, "The Free Fall Experiment" <em>Resonance</em> <strong>21</strong> 259-275 (2016) <a href="https://doi.org/10.1007/s12045-016-0321-9">[https://doi.org/10.1007/s12045-016-0321-9\]</a>.</p>
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" alt="03_FreeFallData.png"></p>
<p>Here's the contents of our data file:</p>

</div>
</div>
</div>sururi@neko:~/ownCloud/Dersler/FIZ353/20201/03_LeastSquaresMethod$ cat 03_FreeFallData.csv 
Vert.dist. y/m,0.2,0.7,0.8,1.2,1.3,1.8
,t/s,t/s,t/s,t/s,t/s,t/s
1,0.20188,0.37775,0.40391,0.49475,0.51501,0.60603
2,0.20197,0.37779,0.40397,0.49464,0.51491,0.60610
3,0.20193,0.37770,0.40391,0.49480,0.51496,0.60610
4,0.20193,0.37779,0.40386,0.49476,0.51495,0.60608
5,0.20194,0.37779,0.40381,0.49478,0.51492,0.60605
6,0.20181,0.37780,0.40386,0.49469,0.51495,0.60612
7,0.20181,0.37773,0.40390,0.49463,0.51507,0.60601
8,0.20196,0.37774,0.40391,0.49466,0.51494,0.60606
9,0.20195,0.37774,0.40389,0.49462,0.51506,0.60613
10,0.20182,0.37776,0.40380,0.49474,0.51506,0.60603
<t>/s,0.20190,0.37776,0.40388,0.49471,0.51498,0.60607

<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[1]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">pandas</span> <span class="k">as</span> <span class="nn">pd</span>
<span class="n">data1</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_csv</span><span class="p">(</span><span class="s2">&quot;data/03_FreeFallData.csv&quot;</span><span class="p">)</span>
<span class="n">data1</span><span class="o">.</span><span class="n">columns</span>
<span class="n">data1</span>
</pre></div>

    </div>
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<div>
<style scoped>
    .dataframe tbody tr th:only-of-type {
        vertical-align: middle;
    }

    .dataframe tbody tr th {
        vertical-align: top;
    }

    .dataframe thead th {
        text-align: right;
    }
</style>
<table border="1" class="dataframe">
  <thead>
    <tr style="text-align: right;">
      <th></th>
      <th>Vert.dist. y/m</th>
      <th>0.2</th>
      <th>0.7</th>
      <th>0.8</th>
      <th>1.2</th>
      <th>1.3</th>
      <th>1.8</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <th>0</th>
      <td>NaN</td>
      <td>t/s</td>
      <td>t/s</td>
      <td>t/s</td>
      <td>t/s</td>
      <td>t/s</td>
      <td>t/s</td>
    </tr>
    <tr>
      <th>1</th>
      <td>1</td>
      <td>0.20188</td>
      <td>0.37775</td>
      <td>0.40391</td>
      <td>0.49475</td>
      <td>0.51501</td>
      <td>0.60603</td>
    </tr>
    <tr>
      <th>2</th>
      <td>2</td>
      <td>0.20197</td>
      <td>0.37779</td>
      <td>0.40397</td>
      <td>0.49464</td>
      <td>0.51491</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>3</th>
      <td>3</td>
      <td>0.20193</td>
      <td>0.37770</td>
      <td>0.40391</td>
      <td>0.49480</td>
      <td>0.51496</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>4</th>
      <td>4</td>
      <td>0.20193</td>
      <td>0.37779</td>
      <td>0.40386</td>
      <td>0.49476</td>
      <td>0.51495</td>
      <td>0.60608</td>
    </tr>
    <tr>
      <th>5</th>
      <td>5</td>
      <td>0.20194</td>
      <td>0.37779</td>
      <td>0.40381</td>
      <td>0.49478</td>
      <td>0.51492</td>
      <td>0.60605</td>
    </tr>
    <tr>
      <th>6</th>
      <td>6</td>
      <td>0.20181</td>
      <td>0.37780</td>
      <td>0.40386</td>
      <td>0.49469</td>
      <td>0.51495</td>
      <td>0.60612</td>
    </tr>
    <tr>
      <th>7</th>
      <td>7</td>
      <td>0.20181</td>
      <td>0.37773</td>
      <td>0.40390</td>
      <td>0.49463</td>
      <td>0.51507</td>
      <td>0.60601</td>
    </tr>
    <tr>
      <th>8</th>
      <td>8</td>
      <td>0.20196</td>
      <td>0.37774</td>
      <td>0.40391</td>
      <td>0.49466</td>
      <td>0.51494</td>
      <td>0.60606</td>
    </tr>
    <tr>
      <th>9</th>
      <td>9</td>
      <td>0.20195</td>
      <td>0.37774</td>
      <td>0.40389</td>
      <td>0.49462</td>
      <td>0.51506</td>
      <td>0.60613</td>
    </tr>
    <tr>
      <th>10</th>
      <td>10</td>
      <td>0.20182</td>
      <td>0.37776</td>
      <td>0.40380</td>
      <td>0.49474</td>
      <td>0.51506</td>
      <td>0.60603</td>
    </tr>
    <tr>
      <th>11</th>
      <td>&lt;t&gt;/s</td>
      <td>0.20190</td>
      <td>0.37776</td>
      <td>0.40388</td>
      <td>0.49471</td>
      <td>0.51498</td>
      <td>0.60607</td>
    </tr>
  </tbody>
</table>
</div>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
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<p>We don't need the first row and first column, so let's remove them:</p>

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<p><a href="https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.drop.html">pandas.DataFrame.drop</a></p>

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<div class="prompt input_prompt">In&nbsp;[2]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data1</span><span class="o">.</span><span class="n">drop</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">inplace</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
<span class="n">data1</span><span class="o">.</span><span class="n">drop</span><span class="p">(</span><span class="mi">11</span><span class="p">,</span> <span class="n">inplace</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
<span class="n">data1</span><span class="o">.</span><span class="n">drop</span><span class="p">([</span><span class="s1">&#39;Vert.dist. y/m&#39;</span><span class="p">],</span><span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">inplace</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
<span class="n">data1</span>
</pre></div>

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<div>
<style scoped>
    .dataframe tbody tr th:only-of-type {
        vertical-align: middle;
    }

    .dataframe tbody tr th {
        vertical-align: top;
    }

    .dataframe thead th {
        text-align: right;
    }
</style>
<table border="1" class="dataframe">
  <thead>
    <tr style="text-align: right;">
      <th></th>
      <th>0.2</th>
      <th>0.7</th>
      <th>0.8</th>
      <th>1.2</th>
      <th>1.3</th>
      <th>1.8</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <th>1</th>
      <td>0.20188</td>
      <td>0.37775</td>
      <td>0.40391</td>
      <td>0.49475</td>
      <td>0.51501</td>
      <td>0.60603</td>
    </tr>
    <tr>
      <th>2</th>
      <td>0.20197</td>
      <td>0.37779</td>
      <td>0.40397</td>
      <td>0.49464</td>
      <td>0.51491</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>3</th>
      <td>0.20193</td>
      <td>0.37770</td>
      <td>0.40391</td>
      <td>0.49480</td>
      <td>0.51496</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>4</th>
      <td>0.20193</td>
      <td>0.37779</td>
      <td>0.40386</td>
      <td>0.49476</td>
      <td>0.51495</td>
      <td>0.60608</td>
    </tr>
    <tr>
      <th>5</th>
      <td>0.20194</td>
      <td>0.37779</td>
      <td>0.40381</td>
      <td>0.49478</td>
      <td>0.51492</td>
      <td>0.60605</td>
    </tr>
    <tr>
      <th>6</th>
      <td>0.20181</td>
      <td>0.37780</td>
      <td>0.40386</td>
      <td>0.49469</td>
      <td>0.51495</td>
      <td>0.60612</td>
    </tr>
    <tr>
      <th>7</th>
      <td>0.20181</td>
      <td>0.37773</td>
      <td>0.40390</td>
      <td>0.49463</td>
      <td>0.51507</td>
      <td>0.60601</td>
    </tr>
    <tr>
      <th>8</th>
      <td>0.20196</td>
      <td>0.37774</td>
      <td>0.40391</td>
      <td>0.49466</td>
      <td>0.51494</td>
      <td>0.60606</td>
    </tr>
    <tr>
      <th>9</th>
      <td>0.20195</td>
      <td>0.37774</td>
      <td>0.40389</td>
      <td>0.49462</td>
      <td>0.51506</td>
      <td>0.60613</td>
    </tr>
    <tr>
      <th>10</th>
      <td>0.20182</td>
      <td>0.37776</td>
      <td>0.40380</td>
      <td>0.49474</td>
      <td>0.51506</td>
      <td>0.60603</td>
    </tr>
  </tbody>
</table>
</div>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[3]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data1</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="mi">2</span><span class="p">,</span><span class="s2">&quot;0.7&quot;</span><span class="p">]</span>
</pre></div>

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<pre>&#39;0.37779&#39;</pre>
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</div>

</div>
</div>

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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[4]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">type</span><span class="p">(</span><span class="n">data1</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="mi">2</span><span class="p">,</span><span class="s2">&quot;0.7&quot;</span><span class="p">])</span>
</pre></div>

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<pre>str</pre>
</div>

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</div>
</div>

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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[5]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data1</span><span class="o">.</span><span class="n">dtypes</span>
</pre></div>

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<pre>0.2    object
0.7    object
0.8    object
1.2    object
1.3    object
1.8    object
dtype: object</pre>
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</div>

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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[6]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data1</span> <span class="o">=</span> <span class="n">data1</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="s1">&#39;float&#39;</span><span class="p">)</span>
<span class="n">data1</span><span class="o">.</span><span class="n">dtypes</span>
</pre></div>

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<pre>0.2    float64
0.7    float64
0.8    float64
1.2    float64
1.3    float64
1.8    float64
dtype: object</pre>
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<p><a href="https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.reset_index.html">pandas.DataFrame.reset_index</a></p>

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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[7]:</div>
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    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data1</span><span class="o">.</span><span class="n">reset_index</span><span class="p">(</span><span class="n">inplace</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
<span class="n">data1</span>
</pre></div>

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<div class="output_area">

    <div class="prompt output_prompt">Out[7]:</div>


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<div>
<style scoped>
    .dataframe tbody tr th:only-of-type {
        vertical-align: middle;
    }

    .dataframe tbody tr th {
        vertical-align: top;
    }

    .dataframe thead th {
        text-align: right;
    }
</style>
<table border="1" class="dataframe">
  <thead>
    <tr style="text-align: right;">
      <th></th>
      <th>index</th>
      <th>0.2</th>
      <th>0.7</th>
      <th>0.8</th>
      <th>1.2</th>
      <th>1.3</th>
      <th>1.8</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <th>0</th>
      <td>1</td>
      <td>0.20188</td>
      <td>0.37775</td>
      <td>0.40391</td>
      <td>0.49475</td>
      <td>0.51501</td>
      <td>0.60603</td>
    </tr>
    <tr>
      <th>1</th>
      <td>2</td>
      <td>0.20197</td>
      <td>0.37779</td>
      <td>0.40397</td>
      <td>0.49464</td>
      <td>0.51491</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>2</th>
      <td>3</td>
      <td>0.20193</td>
      <td>0.37770</td>
      <td>0.40391</td>
      <td>0.49480</td>
      <td>0.51496</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>3</th>
      <td>4</td>
      <td>0.20193</td>
      <td>0.37779</td>
      <td>0.40386</td>
      <td>0.49476</td>
      <td>0.51495</td>
      <td>0.60608</td>
    </tr>
    <tr>
      <th>4</th>
      <td>5</td>
      <td>0.20194</td>
      <td>0.37779</td>
      <td>0.40381</td>
      <td>0.49478</td>
      <td>0.51492</td>
      <td>0.60605</td>
    </tr>
    <tr>
      <th>5</th>
      <td>6</td>
      <td>0.20181</td>
      <td>0.37780</td>
      <td>0.40386</td>
      <td>0.49469</td>
      <td>0.51495</td>
      <td>0.60612</td>
    </tr>
    <tr>
      <th>6</th>
      <td>7</td>
      <td>0.20181</td>
      <td>0.37773</td>
      <td>0.40390</td>
      <td>0.49463</td>
      <td>0.51507</td>
      <td>0.60601</td>
    </tr>
    <tr>
      <th>7</th>
      <td>8</td>
      <td>0.20196</td>
      <td>0.37774</td>
      <td>0.40391</td>
      <td>0.49466</td>
      <td>0.51494</td>
      <td>0.60606</td>
    </tr>
    <tr>
      <th>8</th>
      <td>9</td>
      <td>0.20195</td>
      <td>0.37774</td>
      <td>0.40389</td>
      <td>0.49462</td>
      <td>0.51506</td>
      <td>0.60613</td>
    </tr>
    <tr>
      <th>9</th>
      <td>10</td>
      <td>0.20182</td>
      <td>0.37776</td>
      <td>0.40380</td>
      <td>0.49474</td>
      <td>0.51506</td>
      <td>0.60603</td>
    </tr>
  </tbody>
</table>
</div>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[8]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="c1">#data1.reset_index(inplace=True, drop=True)</span>
<span class="n">data1</span><span class="o">.</span><span class="n">drop</span><span class="p">(</span><span class="s1">&#39;index&#39;</span><span class="p">,</span><span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">inplace</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
<span class="n">data1</span>
</pre></div>

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<div>
<style scoped>
    .dataframe tbody tr th:only-of-type {
        vertical-align: middle;
    }

    .dataframe tbody tr th {
        vertical-align: top;
    }

    .dataframe thead th {
        text-align: right;
    }
</style>
<table border="1" class="dataframe">
  <thead>
    <tr style="text-align: right;">
      <th></th>
      <th>0.2</th>
      <th>0.7</th>
      <th>0.8</th>
      <th>1.2</th>
      <th>1.3</th>
      <th>1.8</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <th>0</th>
      <td>0.20188</td>
      <td>0.37775</td>
      <td>0.40391</td>
      <td>0.49475</td>
      <td>0.51501</td>
      <td>0.60603</td>
    </tr>
    <tr>
      <th>1</th>
      <td>0.20197</td>
      <td>0.37779</td>
      <td>0.40397</td>
      <td>0.49464</td>
      <td>0.51491</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>2</th>
      <td>0.20193</td>
      <td>0.37770</td>
      <td>0.40391</td>
      <td>0.49480</td>
      <td>0.51496</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>3</th>
      <td>0.20193</td>
      <td>0.37779</td>
      <td>0.40386</td>
      <td>0.49476</td>
      <td>0.51495</td>
      <td>0.60608</td>
    </tr>
    <tr>
      <th>4</th>
      <td>0.20194</td>
      <td>0.37779</td>
      <td>0.40381</td>
      <td>0.49478</td>
      <td>0.51492</td>
      <td>0.60605</td>
    </tr>
    <tr>
      <th>5</th>
      <td>0.20181</td>
      <td>0.37780</td>
      <td>0.40386</td>
      <td>0.49469</td>
      <td>0.51495</td>
      <td>0.60612</td>
    </tr>
    <tr>
      <th>6</th>
      <td>0.20181</td>
      <td>0.37773</td>
      <td>0.40390</td>
      <td>0.49463</td>
      <td>0.51507</td>
      <td>0.60601</td>
    </tr>
    <tr>
      <th>7</th>
      <td>0.20196</td>
      <td>0.37774</td>
      <td>0.40391</td>
      <td>0.49466</td>
      <td>0.51494</td>
      <td>0.60606</td>
    </tr>
    <tr>
      <th>8</th>
      <td>0.20195</td>
      <td>0.37774</td>
      <td>0.40389</td>
      <td>0.49462</td>
      <td>0.51506</td>
      <td>0.60613</td>
    </tr>
    <tr>
      <th>9</th>
      <td>0.20182</td>
      <td>0.37776</td>
      <td>0.40380</td>
      <td>0.49474</td>
      <td>0.51506</td>
      <td>0.60603</td>
    </tr>
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<h2 id="Plot">Plot<a class="anchor-link" href="#Plot">&#182;</a></h2>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">seaborn</span> <span class="k">as</span> <span class="nn">sns</span>
<span class="n">sns</span><span class="o">.</span><span class="n">set_theme</span><span class="p">()</span> <span class="c1"># To make things appear &quot;more beautiful&quot; 8)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># %matplotlib notebook</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data2</span> <span class="o">=</span> <span class="n">data1</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span>
<span class="n">data2</span>
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<style scoped>
    .dataframe tbody tr th:only-of-type {
        vertical-align: middle;
    }

    .dataframe tbody tr th {
        vertical-align: top;
    }

    .dataframe thead th {
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</style>
<table border="1" class="dataframe">
  <thead>
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      <th></th>
      <th>0.2</th>
      <th>0.7</th>
      <th>0.8</th>
      <th>1.2</th>
      <th>1.3</th>
      <th>1.8</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <th>0</th>
      <td>0.20188</td>
      <td>0.37775</td>
      <td>0.40391</td>
      <td>0.49475</td>
      <td>0.51501</td>
      <td>0.60603</td>
    </tr>
    <tr>
      <th>1</th>
      <td>0.20197</td>
      <td>0.37779</td>
      <td>0.40397</td>
      <td>0.49464</td>
      <td>0.51491</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>2</th>
      <td>0.20193</td>
      <td>0.37770</td>
      <td>0.40391</td>
      <td>0.49480</td>
      <td>0.51496</td>
      <td>0.60610</td>
    </tr>
    <tr>
      <th>3</th>
      <td>0.20193</td>
      <td>0.37779</td>
      <td>0.40386</td>
      <td>0.49476</td>
      <td>0.51495</td>
      <td>0.60608</td>
    </tr>
    <tr>
      <th>4</th>
      <td>0.20194</td>
      <td>0.37779</td>
      <td>0.40381</td>
      <td>0.49478</td>
      <td>0.51492</td>
      <td>0.60605</td>
    </tr>
    <tr>
      <th>5</th>
      <td>0.20181</td>
      <td>0.37780</td>
      <td>0.40386</td>
      <td>0.49469</td>
      <td>0.51495</td>
      <td>0.60612</td>
    </tr>
    <tr>
      <th>6</th>
      <td>0.20181</td>
      <td>0.37773</td>
      <td>0.40390</td>
      <td>0.49463</td>
      <td>0.51507</td>
      <td>0.60601</td>
    </tr>
    <tr>
      <th>7</th>
      <td>0.20196</td>
      <td>0.37774</td>
      <td>0.40391</td>
      <td>0.49466</td>
      <td>0.51494</td>
      <td>0.60606</td>
    </tr>
    <tr>
      <th>8</th>
      <td>0.20195</td>
      <td>0.37774</td>
      <td>0.40389</td>
      <td>0.49462</td>
      <td>0.51506</td>
      <td>0.60613</td>
    </tr>
    <tr>
      <th>9</th>
      <td>0.20182</td>
      <td>0.37776</td>
      <td>0.40380</td>
      <td>0.49474</td>
      <td>0.51506</td>
      <td>0.60603</td>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt1</span> <span class="o">=</span> <span class="n">sns</span><span class="o">.</span><span class="n">relplot</span><span class="p">(</span><span class="n">data</span><span class="o">=</span><span class="n">data2</span><span class="p">,</span><span class="n">kind</span><span class="o">=</span><span class="s2">&quot;line&quot;</span><span class="p">,</span><span class="n">marker</span><span class="o">=</span><span class="s2">&quot;o&quot;</span><span class="p">)</span>
<span class="n">k</span> <span class="o">=</span><span class="n">plt1</span><span class="o">.</span><span class="n">set</span><span class="p">(</span><span class="n">xticks</span><span class="o">=</span><span class="n">data2</span><span class="o">.</span><span class="n">index</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data2</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
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<pre>0.2    0.201900
0.7    0.377759
0.8    0.403882
1.2    0.494707
1.3    0.514983
1.8    0.606071
dtype: float64</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data_stats</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span><span class="n">data2</span><span class="o">.</span><span class="n">mean</span><span class="p">())</span>
<span class="n">data_stats</span><span class="o">.</span><span class="n">rename</span><span class="p">(</span><span class="n">columns</span><span class="o">=</span><span class="p">{</span><span class="mi">0</span><span class="p">:</span><span class="s1">&#39;dmean&#39;</span><span class="p">},</span> <span class="n">inplace</span><span class="o">=</span><span class="kc">True</span> <span class="p">)</span>
<span class="n">data_stats</span><span class="p">[</span><span class="s1">&#39;dvar&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">data2</span><span class="o">.</span><span class="n">var</span><span class="p">()</span>
<span class="n">data_stats</span><span class="p">[</span><span class="s1">&#39;dstd&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">data2</span><span class="o">.</span><span class="n">std</span><span class="p">()</span>
<span class="n">data_stats</span>
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<style scoped>
    .dataframe tbody tr th:only-of-type {
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    }

    .dataframe tbody tr th {
        vertical-align: top;
    }

    .dataframe thead th {
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<table border="1" class="dataframe">
  <thead>
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      <th></th>
      <th>dmean</th>
      <th>dvar</th>
      <th>dstd</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <th>0.2</th>
      <td>0.201900</td>
      <td>4.155556e-09</td>
      <td>0.000064</td>
    </tr>
    <tr>
      <th>0.7</th>
      <td>0.377759</td>
      <td>1.076667e-09</td>
      <td>0.000033</td>
    </tr>
    <tr>
      <th>0.8</th>
      <td>0.403882</td>
      <td>2.595556e-09</td>
      <td>0.000051</td>
    </tr>
    <tr>
      <th>1.2</th>
      <td>0.494707</td>
      <td>4.467778e-09</td>
      <td>0.000067</td>
    </tr>
    <tr>
      <th>1.3</th>
      <td>0.514983</td>
      <td>3.778889e-09</td>
      <td>0.000061</td>
    </tr>
    <tr>
      <th>1.8</th>
      <td>0.606071</td>
      <td>1.698889e-09</td>
      <td>0.000041</td>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data_stats</span><span class="o">.</span><span class="n">dstd</span> <span class="c1"># Unbiased</span>
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<pre>0.2    0.000064
0.7    0.000033
0.8    0.000051
1.2    0.000067
1.3    0.000061
1.8    0.000041
Name: dstd, dtype: float64</pre>
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$$\sigma = \sqrt{\frac{\sum_{i}{\left(x_i - \bar{x}\right)^2}}{N}}\;\text{(Population)}$$<p>or $$\sigma = \sqrt{\frac{\sum_{i}{\left(x_i - \bar{x}\right)^2}}{N-1}}\;\text{(Sample)}$$</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="n">N</span> <span class="o">=</span> <span class="n">data2</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="k">for</span> <span class="n">coll</span> <span class="ow">in</span> <span class="nb">list</span><span class="p">(</span><span class="n">data2</span><span class="o">.</span><span class="n">columns</span><span class="p">):</span>
    <span class="n">s_dev</span> <span class="o">=</span> <span class="mi">0</span>
    <span class="n">s_mean</span> <span class="o">=</span> <span class="n">data2</span><span class="o">.</span><span class="n">loc</span><span class="p">[:,</span><span class="n">coll</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
    <span class="c1">#print(s_mean)</span>
    <span class="k">for</span> <span class="n">x_i</span> <span class="ow">in</span> <span class="n">data2</span><span class="o">.</span><span class="n">loc</span><span class="p">[:,</span><span class="n">coll</span><span class="p">]:</span>
        <span class="c1"># print (x_i)</span>
        <span class="n">s_dev</span> <span class="o">+=</span> <span class="p">(</span><span class="n">x_i</span> <span class="o">-</span> <span class="n">s_mean</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span>
    <span class="n">s_dev</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">s_dev</span><span class="o">/</span><span class="p">(</span><span class="n">N</span><span class="p">))</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:s}</span><span class="s2">: </span><span class="si">{:.6f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">coll</span><span class="p">,</span><span class="n">s_dev</span><span class="p">))</span>
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<pre>0.2: 0.000061
0.7: 0.000031
0.8: 0.000048
1.2: 0.000063
1.3: 0.000058
1.8: 0.000039
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data2</span><span class="o">.</span><span class="n">std</span><span class="p">(</span><span class="n">ddof</span><span class="o">=</span><span class="mi">0</span><span class="p">)</span> <span class="c1"># Biased</span>
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<pre>0.2    0.000061
0.7    0.000031
0.8    0.000048
1.2    0.000063
1.3    0.000058
1.8    0.000039
dtype: float64</pre>
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<p>Average over all the sample deviations should be equal to the deviation of the population!</p>
<p>For more information on this <em>Bessel's Correction</em>, check: <a href="http://mathcenter.oxford.emory.edu/site/math117/besselCorrection/">http://mathcenter.oxford.emory.edu/site/math117/besselCorrection/</a></p>

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<h1 id="Types-of-Errors">Types of Errors<a class="anchor-link" href="#Types-of-Errors">&#182;</a></h1><h2 id="True-error-($E_t$)">True error ($E_t$)<a class="anchor-link" href="#True-error-($E_t$)">&#182;</a></h2>$$E_t = \text{true value} - \text{approximation}$$<h2 id="Absolute-error-($\left|E_t\right|$)">Absolute error ($\left|E_t\right|$)<a class="anchor-link" href="#Absolute-error-($\left|E_t\right|$)">&#182;</a></h2>$$\left|E_t\right| = \left|\text{true value} - \text{approximation}\right|$$<h2 id="True-fractional-relative-error">True fractional relative error<a class="anchor-link" href="#True-fractional-relative-error">&#182;</a></h2>$$\frac{\text{true value} - \text{approximation}}{\text{true value}}$$<h2 id="True-percent-relative-error-($\varepsilon_t$)">True percent relative error ($\varepsilon_t$)<a class="anchor-link" href="#True-percent-relative-error-($\varepsilon_t$)">&#182;</a></h2>$$\varepsilon_t = \frac{\text{true value} - \text{approximation}}{\text{true value}}\,100\%$$<p>But what if we don't know the true value?..</p>
<h2 id="Approximate-percent-relative-error-($\varepsilon_a$)">Approximate percent relative error ($\varepsilon_a$)<a class="anchor-link" href="#Approximate-percent-relative-error-($\varepsilon_a$)">&#182;</a></h2>$$\varepsilon_a = \frac{\text{present approximation} - \text{previous approximation}}{\text{present approximation}}\,100\%$$<p>Computations are repeated until $\left|\varepsilon_a\right| &lt; \left|\varepsilon_s\right|$ ($\varepsilon_s$ is the satisfactory precision criterion).</p>
<p>The result is correct to at least $n$ significant figures given that:
$$\varepsilon_s=\left(0.5\times10^{2-n}\right)\,\%$$</p>

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<h3 id="Example:">Example:<a class="anchor-link" href="#Example:">&#182;</a></h3>$$e^x = 1+x+\frac{x^2}{2}+\frac{x^3}{3!}+\dots+\frac{x^n}{n!}+\dots$$<p>To estimate $e^{0.5}$ so that the absolute value of the approximate error estimate falls below an error criterion conforming to 3 significant figures, how many terms do you need to include?</p>

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<p><strong>Solution:</strong></p>
<p>$\varepsilon_s=(0.5\times 10^{2-3})\,\%$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">eps_s</span> <span class="o">=</span> <span class="mf">0.5</span><span class="o">*</span><span class="mi">10</span><span class="o">**</span><span class="p">(</span><span class="mi">2</span><span class="o">-</span><span class="mi">3</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:.2f}</span><span class="s2">%&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">eps_s</span><span class="p">))</span>
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<pre>0.05%
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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">eps_s</span> <span class="o">=</span> <span class="mf">0.5</span><span class="o">*</span><span class="mi">10</span><span class="o">**</span><span class="p">(</span><span class="mi">2</span><span class="o">-</span><span class="mi">3</span><span class="p">)</span>

<span class="n">x</span> <span class="o">=</span> <span class="mf">0.5</span>
<span class="n">eps_a</span> <span class="o">=</span> <span class="mi">1000</span>
<span class="n">e_prev</span> <span class="o">=</span> <span class="mi">0</span>
<span class="n">no_of_terms</span> <span class="o">=</span> <span class="mi">0</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:&gt;3}</span><span class="s2"> </span><span class="si">{:^10}</span><span class="se">\t</span><span class="si">{:^7}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="s2">&quot;#&quot;</span><span class="p">,</span><span class="s2">&quot;e&quot;</span><span class="p">,</span><span class="s2">&quot;E_a&quot;</span><span class="p">))</span>
<span class="k">while</span><span class="p">(</span><span class="n">eps_a</span> <span class="o">&gt;</span> <span class="n">eps_s</span><span class="p">):</span>
    <span class="n">e_calculated</span> <span class="o">=</span> <span class="n">e_prev</span> <span class="o">+</span> <span class="n">x</span><span class="o">**</span><span class="n">no_of_terms</span><span class="o">/</span><span class="n">np</span><span class="o">.</span><span class="n">math</span><span class="o">.</span><span class="n">factorial</span><span class="p">(</span><span class="n">no_of_terms</span><span class="p">)</span>
    <span class="n">eps_a</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(((</span><span class="n">e_calculated</span> <span class="o">-</span> <span class="n">e_prev</span><span class="p">)</span><span class="o">/</span><span class="n">e_calculated</span><span class="p">))</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:3d}</span><span class="s2">:</span><span class="si">{:10.6f}</span><span class="se">\t</span><span class="si">{:7.4f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">no_of_terms</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="n">e_calculated</span><span class="p">,</span><span class="n">eps_a</span><span class="p">))</span>
    <span class="n">e_prev</span> <span class="o">=</span> <span class="n">e_calculated</span>
    <span class="n">no_of_terms</span> <span class="o">+=</span> <span class="mi">1</span>
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<pre>  #     e     	  E_a  
  1:  1.000000	 1.0000
  2:  1.500000	 0.3333
  3:  1.625000	 0.0769
  4:  1.645833	 0.0127
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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">eps_s</span> <span class="o">=</span> <span class="mf">0.5</span><span class="o">*</span><span class="mi">10</span><span class="o">**</span><span class="p">(</span><span class="mi">2</span><span class="o">-</span><span class="mi">3</span><span class="p">)</span>
<span class="n">e_sqrt_real</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">e</span><span class="p">)</span>

<span class="n">x</span> <span class="o">=</span> <span class="mf">0.5</span>
<span class="n">eps_a</span> <span class="o">=</span> <span class="mi">1000</span>
<span class="n">e_sqrt_prev</span> <span class="o">=</span> <span class="mi">0</span>
<span class="n">no_of_terms</span> <span class="o">=</span> <span class="mi">0</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:&gt;3}</span><span class="s2"> </span><span class="si">{:^13}{:^20}{:^12}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="s2">&quot;#&quot;</span><span class="p">,</span><span class="s2">&quot;e_calc&quot;</span><span class="p">,</span><span class="s2">&quot;E_a&quot;</span><span class="p">,</span><span class="s2">&quot;E_t$&quot;</span><span class="p">))</span>
<span class="k">while</span><span class="p">(</span><span class="n">eps_a</span> <span class="o">&gt;</span> <span class="n">eps_s</span><span class="p">):</span>
    <span class="n">e_sqrt_calculated</span> <span class="o">=</span> <span class="n">e_sqrt_prev</span> <span class="o">+</span> <span class="n">x</span><span class="o">**</span><span class="n">no_of_terms</span><span class="o">/</span><span class="n">np</span><span class="o">.</span><span class="n">math</span><span class="o">.</span><span class="n">factorial</span><span class="p">(</span><span class="n">no_of_terms</span><span class="p">)</span>
    <span class="n">eps_a</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(((</span><span class="n">e_sqrt_calculated</span> <span class="o">-</span> <span class="n">e_sqrt_prev</span><span class="p">)</span><span class="o">/</span><span class="n">e_sqrt_calculated</span><span class="p">))</span><span class="o">*</span><span class="mi">100</span>
    <span class="n">eps_t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">((</span><span class="n">e_sqrt_real</span> <span class="o">-</span> <span class="n">e_sqrt_calculated</span><span class="p">)</span><span class="o">/</span><span class="n">e_sqrt_real</span><span class="p">)</span><span class="o">*</span><span class="mi">100</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:3d}</span><span class="s2">:</span><span class="si">{:10.6f}{:16.5f}{:16.5f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">no_of_terms</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="n">e_sqrt_calculated</span><span class="p">,</span><span class="n">eps_a</span><span class="p">,</span><span class="n">eps_t</span><span class="p">))</span>
    <span class="n">e_sqrt_prev</span> <span class="o">=</span> <span class="n">e_sqrt_calculated</span>
    <span class="n">no_of_terms</span> <span class="o">+=</span> <span class="mi">1</span>
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<pre>  #    e_calc            E_a             E_t$    
  1:  1.000000       100.00000        39.34693
  2:  1.500000        33.33333         9.02040
  3:  1.625000         7.69231         1.43877
  4:  1.645833         1.26582         0.17516
  5:  1.648438         0.15798         0.01721
  6:  1.648698         0.01580         0.00142
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<h1 id="How-good-is-a-mean?">How good is a mean?<a class="anchor-link" href="#How-good-is-a-mean?">&#182;</a></h1><p>Once again, consider our free fall data:</p>

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      <th>0.2</th>
      <th>0.7</th>
      <th>0.8</th>
      <th>1.2</th>
      <th>1.3</th>
      <th>1.8</th>
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      <th>0</th>
      <td>0.20188</td>
      <td>0.37775</td>
      <td>0.40391</td>
      <td>0.49475</td>
      <td>0.51501</td>
      <td>0.60603</td>
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      <th>1</th>
      <td>0.20197</td>
      <td>0.37779</td>
      <td>0.40397</td>
      <td>0.49464</td>
      <td>0.51491</td>
      <td>0.60610</td>
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      <th>2</th>
      <td>0.20193</td>
      <td>0.37770</td>
      <td>0.40391</td>
      <td>0.49480</td>
      <td>0.51496</td>
      <td>0.60610</td>
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      <th>3</th>
      <td>0.20193</td>
      <td>0.37779</td>
      <td>0.40386</td>
      <td>0.49476</td>
      <td>0.51495</td>
      <td>0.60608</td>
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      <th>4</th>
      <td>0.20194</td>
      <td>0.37779</td>
      <td>0.40381</td>
      <td>0.49478</td>
      <td>0.51492</td>
      <td>0.60605</td>
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      <th>5</th>
      <td>0.20181</td>
      <td>0.37780</td>
      <td>0.40386</td>
      <td>0.49469</td>
      <td>0.51495</td>
      <td>0.60612</td>
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      <th>6</th>
      <td>0.20181</td>
      <td>0.37773</td>
      <td>0.40390</td>
      <td>0.49463</td>
      <td>0.51507</td>
      <td>0.60601</td>
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      <th>7</th>
      <td>0.20196</td>
      <td>0.37774</td>
      <td>0.40391</td>
      <td>0.49466</td>
      <td>0.51494</td>
      <td>0.60606</td>
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      <th>8</th>
      <td>0.20195</td>
      <td>0.37774</td>
      <td>0.40389</td>
      <td>0.49462</td>
      <td>0.51506</td>
      <td>0.60613</td>
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      <th>9</th>
      <td>0.20182</td>
      <td>0.37776</td>
      <td>0.40380</td>
      <td>0.49474</td>
      <td>0.51506</td>
      <td>0.60603</td>
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      <th>0.2</th>
      <td>0.201900</td>
      <td>4.155556e-09</td>
      <td>0.000064</td>
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      <th>0.7</th>
      <td>0.377759</td>
      <td>1.076667e-09</td>
      <td>0.000033</td>
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      <th>0.8</th>
      <td>0.403882</td>
      <td>2.595556e-09</td>
      <td>0.000051</td>
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      <th>1.2</th>
      <td>0.494707</td>
      <td>4.467778e-09</td>
      <td>0.000067</td>
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      <th>1.3</th>
      <td>0.514983</td>
      <td>3.778889e-09</td>
      <td>0.000061</td>
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      <th>1.8</th>
      <td>0.606071</td>
      <td>1.698889e-09</td>
      <td>0.000041</td>
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<h1 id="scipy.optimize.minimize-to-the-rescue!"><a href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize">scipy.optimize.minimize</a> to the rescue!<a class="anchor-link" href="#scipy.optimize.minimize-to-the-rescue!">&#182;</a></h1>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">scipy.optimize</span> <span class="k">import</span> <span class="n">minimize</span>

<span class="k">def</span> <span class="nf">fun_err</span><span class="p">(</span><span class="n">m</span><span class="p">,</span><span class="n">x</span><span class="p">):</span>
    <span class="n">err</span> <span class="o">=</span> <span class="mi">0</span>
    <span class="k">for</span> <span class="n">x_i</span> <span class="ow">in</span> <span class="n">x</span><span class="p">:</span>
        <span class="n">err</span> <span class="o">+=</span> <span class="p">(</span><span class="n">x_i</span> <span class="o">-</span> <span class="n">m</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span>
    <span class="n">err</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">err</span><span class="o">/</span><span class="n">np</span><span class="o">.</span><span class="n">prod</span><span class="p">(</span><span class="n">x</span><span class="o">.</span><span class="n">shape</span><span class="p">))</span>
    <span class="k">return</span> <span class="n">err</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">fun_err</span><span class="p">(</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">])</span>
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<pre>6.11555394056866e-05</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">fun_err</span><span class="p">(</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">])</span>
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<pre>1.00000000187</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">minimize</span><span class="p">(</span><span class="n">fun_err</span><span class="p">,</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span><span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]))</span>
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<pre>      fun: 6.11555394056866e-05
 hess_inv: array([[1]])
      jac: array([0.00012183])
  message: &#39;Desired error not necessarily achieved due to precision loss.&#39;
     nfev: 70
      nit: 0
     njev: 29
   status: 2
  success: False
        x: array([0.2019])</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
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<pre>0.20190000000000002</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">list</span><span class="p">(</span><span class="n">data2</span><span class="o">.</span><span class="n">columns</span><span class="p">)</span>
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<pre>[&#39;0.2&#39;, &#39;0.7&#39;, &#39;0.8&#39;, &#39;1.2&#39;, &#39;1.3&#39;, &#39;1.8&#39;]</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data_stats</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">,</span><span class="s1">&#39;dmean&#39;</span><span class="p">]</span>
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<pre>0.20190000000000002</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:^5}</span><span class="s2">: </span><span class="si">{:^8}</span><span class="s2"> (</span><span class="si">{:^8}</span><span class="s2">)&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="s2">&quot;col&quot;</span><span class="p">,</span><span class="s2">&quot;min&quot;</span><span class="p">,</span><span class="s2">&quot;mean&quot;</span><span class="p">))</span>
<span class="k">for</span> <span class="n">col</span> <span class="ow">in</span> <span class="nb">list</span><span class="p">(</span><span class="n">data2</span><span class="o">.</span><span class="n">columns</span><span class="p">):</span>
    <span class="n">res_min</span> <span class="o">=</span> <span class="n">minimize</span><span class="p">(</span><span class="n">fun_err</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">data2</span><span class="p">[</span><span class="n">col</span><span class="p">]))</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:^5}</span><span class="s2">: </span><span class="si">{:8.6f}</span><span class="s2"> (</span><span class="si">{:8.6f}</span><span class="s2">)&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">col</span><span class="p">,</span><span class="nb">float</span><span class="p">(</span><span class="n">res_min</span><span class="o">.</span><span class="n">x</span><span class="p">),</span><span class="n">data_stats</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">col</span><span class="p">,</span><span class="s1">&#39;dmean&#39;</span><span class="p">]))</span>
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<pre> col :   min    (  mean  )
 0.2 : 0.201900 (0.201900)
 0.7 : 0.377759 (0.377759)
 0.8 : 0.403882 (0.403882)
 1.2 : 0.494707 (0.494707)
 1.3 : 0.514983 (0.514983)
 1.8 : 0.606071 (0.606071)
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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:.6f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">data_stats</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">col</span><span class="p">,</span><span class="s1">&#39;dmean&#39;</span><span class="p">]))</span>
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<pre>0.606071
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<h2 id="Couldn't-the-cost-function-be-better?">Couldn't the cost function be better?<a class="anchor-link" href="#Couldn't-the-cost-function-be-better?">&#182;</a></h2>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">fun_err2</span><span class="p">(</span><span class="n">m</span><span class="p">,</span><span class="n">x</span><span class="p">):</span>
    <span class="n">err</span> <span class="o">=</span> <span class="mi">0</span>
    <span class="k">for</span> <span class="n">x_i</span> <span class="ow">in</span> <span class="n">x</span><span class="p">:</span>
        <span class="n">err</span> <span class="o">+=</span> <span class="p">(</span><span class="n">x_i</span> <span class="o">-</span> <span class="n">m</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span>
    <span class="c1">#err = np.sqrt(err/np.prod(x.shape))</span>
    <span class="k">return</span> <span class="n">err</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">fun_err2</span><span class="p">(</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">])</span>
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<pre>3.740000000000487e-08</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">minimize</span><span class="p">(</span><span class="n">fun_err2</span><span class="p">,</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span><span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]))</span>
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<pre>      fun: 3.740000000000487e-08
 hess_inv: array([[1]])
      jac: array([1.49011612e-07])
  message: &#39;Optimization terminated successfully.&#39;
     nfev: 2
      nit: 0
     njev: 1
   status: 0
  success: True
        x: array([0.2019])</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:^5}</span><span class="s2">: </span><span class="si">{:^8}</span><span class="s2"> (</span><span class="si">{:^8}</span><span class="s2">)&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="s2">&quot;col&quot;</span><span class="p">,</span><span class="s2">&quot;min&quot;</span><span class="p">,</span><span class="s2">&quot;mean&quot;</span><span class="p">))</span>
<span class="k">for</span> <span class="n">col</span> <span class="ow">in</span> <span class="nb">list</span><span class="p">(</span><span class="n">data2</span><span class="o">.</span><span class="n">columns</span><span class="p">):</span>
    <span class="n">res_min</span> <span class="o">=</span> <span class="n">minimize</span><span class="p">(</span><span class="n">fun_err2</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">data2</span><span class="p">[</span><span class="n">col</span><span class="p">]))</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:^5}</span><span class="s2">: </span><span class="si">{:8.6f}</span><span class="s2"> (</span><span class="si">{:8.6f}</span><span class="s2">)&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">col</span><span class="p">,</span><span class="nb">float</span><span class="p">(</span><span class="n">res_min</span><span class="o">.</span><span class="n">x</span><span class="p">),</span><span class="n">data_stats</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">col</span><span class="p">,</span><span class="s1">&#39;dmean&#39;</span><span class="p">]))</span>
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<pre> col :   min    (  mean  )
 0.2 : 0.201900 (0.201900)
 0.7 : 0.377759 (0.377759)
 0.8 : 0.403882 (0.403882)
 1.2 : 0.494707 (0.494707)
 1.3 : 0.514983 (0.514983)
 1.8 : 0.606071 (0.606071)
</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">fun_err3</span><span class="p">(</span><span class="n">m</span><span class="p">,</span><span class="n">x</span><span class="p">):</span>
    <span class="n">err</span> <span class="o">=</span> <span class="mi">0</span>
    <span class="k">for</span> <span class="n">x_i</span> <span class="ow">in</span> <span class="n">x</span><span class="p">:</span>
        <span class="n">err</span> <span class="o">+=</span> <span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">x_i</span> <span class="o">-</span> <span class="n">m</span><span class="p">)</span>
    <span class="c1">#err = np.sqrt(err/np.prod(x.shape))</span>
    <span class="k">return</span> <span class="n">err</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">fun_err3</span><span class="p">(</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">])</span>
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<pre>0.0005599999999999772</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">minimize</span><span class="p">(</span><span class="n">fun_err3</span><span class="p">,</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span><span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">data2</span><span class="p">[</span><span class="s1">&#39;0.2&#39;</span><span class="p">]))</span>
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<pre>      fun: 0.0005000017699288428
 hess_inv: array([[7.97330502e-06]])
      jac: array([1.76244418])
  message: &#39;Desired error not necessarily achieved due to precision loss.&#39;
     nfev: 120
      nit: 1
     njev: 54
   status: 2
  success: False
        x: array([0.20193])</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data_exp</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span><span class="n">data_stats</span><span class="o">.</span><span class="n">dmean</span><span class="p">)</span>
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      <th>0.2</th>
      <td>0.201900</td>
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      <th>0.7</th>
      <td>0.377759</td>
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      <th>0.8</th>
      <td>0.403882</td>
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      <th>1.2</th>
      <td>0.494707</td>
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      <th>1.3</th>
      <td>0.514983</td>
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      <th>1.8</th>
      <td>0.606071</td>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">freefall_err</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="n">y_exp</span><span class="p">,</span><span class="n">t</span><span class="p">):</span>
    <span class="n">err</span> <span class="o">=</span> <span class="mi">0</span>
    <span class="n">y_theo</span> <span class="o">=</span> <span class="mf">0.5</span><span class="o">*</span><span class="n">g</span><span class="o">*</span><span class="n">t</span><span class="o">**</span><span class="mi">2</span>
    <span class="n">err</span> <span class="o">=</span> <span class="p">(</span><span class="n">y_theo</span> <span class="o">-</span> <span class="n">y_exp</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span>
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">err</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">y_exp</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="nb">list</span><span class="p">(</span><span class="n">data_exp</span><span class="o">.</span><span class="n">index</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="n">y_exp</span><span class="p">)</span>
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<pre>[&#39;0.2&#39; &#39;0.7&#39; &#39;0.8&#39; &#39;1.2&#39; &#39;1.3&#39; &#39;1.8&#39;]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">y_exp</span><span class="o">.</span><span class="n">dtype</span>
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<pre>dtype(&#39;&lt;U3&#39;)</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">y_exp</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="nb">list</span><span class="p">(</span><span class="n">data_exp</span><span class="o">.</span><span class="n">index</span><span class="p">),</span><span class="n">dtype</span><span class="o">=</span><span class="nb">float</span><span class="p">)</span>
<span class="n">y_exp</span><span class="o">.</span><span class="n">dtype</span>
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<pre>dtype(&#39;float64&#39;)</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="n">y_exp</span><span class="p">)</span>
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<pre>[0.2 0.7 0.8 1.2 1.3 1.8]
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">t</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="nb">list</span><span class="p">(</span><span class="n">data_exp</span><span class="o">.</span><span class="n">dmean</span><span class="p">[:]))</span>
<span class="nb">print</span><span class="p">(</span><span class="n">t</span><span class="p">)</span>
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<pre>[0.2019   0.377759 0.403882 0.494707 0.514983 0.606071]
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<h2 id="We-can-do-that-manually!...-(???)">We can do that manually!... (???)<a class="anchor-link" href="#We-can-do-that-manually!...-(???)">&#182;</a></h2>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">freefall_err</span><span class="p">(</span><span class="mi">9</span><span class="p">,</span><span class="n">y_exp</span><span class="p">,</span><span class="n">t</span><span class="p">)</span>
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<pre>0.05069082651399326</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">freefall_err</span><span class="p">(</span><span class="mf">9.1</span><span class="p">,</span><span class="n">y_exp</span><span class="p">,</span><span class="n">t</span><span class="p">)</span>
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<pre>0.0388634097682171</pre>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">g</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="mi">9</span><span class="p">,</span><span class="mi">10</span><span class="p">,</span><span class="mf">0.1</span><span class="p">):</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:5.3f}</span><span class="s2">:</span><span class="si">{:10.6f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="n">freefall_err</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="n">y_exp</span><span class="p">,</span><span class="n">t</span><span class="p">)))</span>
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<pre>9.000:  0.050691
9.100:  0.038863
9.200:  0.028605
9.300:  0.019915
9.400:  0.012795
9.500:  0.007243
9.600:  0.003261
9.700:  0.000847
9.800:  0.000002
9.900:  0.000726
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">g</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">9.7</span><span class="p">,</span><span class="mf">9.9</span><span class="p">,</span><span class="mf">0.01</span><span class="p">):</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:5.3f}</span><span class="s2">:</span><span class="si">{:10.6f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="n">freefall_err</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="n">y_exp</span><span class="p">,</span><span class="n">t</span><span class="p">)))</span>
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<pre>9.700:  0.000847
9.710:  0.000692
9.720:  0.000552
9.730:  0.000429
9.740:  0.000321
9.750:  0.000228
9.760:  0.000152
9.770:  0.000091
9.780:  0.000045
9.790:  0.000016
9.800:  0.000002
9.810:  0.000004
9.820:  0.000021
9.830:  0.000055
9.840:  0.000103
9.850:  0.000168
9.860:  0.000248
9.870:  0.000344
9.880:  0.000456
9.890:  0.000583
9.900:  0.000726
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">g</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">9.79</span><span class="p">,</span><span class="mf">9.81</span><span class="p">,</span><span class="mf">0.001</span><span class="p">):</span>
    <span class="nb">print</span><span class="p">(</span><span class="s2">&quot;</span><span class="si">{:5.3f}</span><span class="s2">:</span><span class="si">{:10.8f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="n">freefall_err</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="n">y_exp</span><span class="p">,</span><span class="n">t</span><span class="p">)))</span>
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<pre>9.790:0.00001591
9.791:0.00001382
9.792:0.00001188
9.793:0.00001010
9.794:0.00000848
9.795:0.00000701
9.796:0.00000570
9.797:0.00000455
9.798:0.00000355
9.799:0.00000272
9.800:0.00000203
9.801:0.00000151
9.802:0.00000114
9.803:0.00000093
9.804:0.00000088
9.805:0.00000098
9.806:0.00000124
9.807:0.00000166
9.808:0.00000223
9.809:0.00000296
9.810:0.00000385
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">res_min</span> <span class="o">=</span> <span class="n">minimize</span><span class="p">(</span><span class="n">freefall_err</span><span class="p">,</span><span class="n">x0</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span><span class="n">args</span><span class="o">=</span><span class="p">(</span><span class="n">y_exp</span><span class="p">,</span><span class="n">t</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="n">res_min</span><span class="p">)</span>
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<pre>      fun: 8.748023164225757e-07
 hess_inv: array([[6.3736979]])
      jac: array([-2.0061961e-09])
  message: &#39;Optimization terminated successfully.&#39;
     nfev: 10
      nit: 4
     njev: 5
   status: 0
  success: True
        x: array([9.8038438])
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<div class=" highlight hl-ipython3"><pre><span></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">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span><span class="n">y_exp</span><span class="p">,</span><span class="s2">&quot;or&quot;</span><span class="p">)</span>
<span class="n">tt</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mf">0.7</span><span class="p">,</span><span class="mi">100</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">tt</span><span class="p">,</span><span class="mf">0.5</span><span class="o">*</span><span class="n">res_min</span><span class="o">.</span><span class="n">x</span><span class="o">*</span><span class="n">tt</span><span class="o">**</span><span class="mi">2</span><span class="p">,</span><span class="s2">&quot;-b&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<h2 id="Least-Squares-(scipy.optimize.least_squares)-but-not-least!-8)">Least Squares (<a href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.least_squares.html">scipy.optimize.least_squares</a>) but not least! 8)<a class="anchor-link" href="#Least-Squares-(scipy.optimize.least_squares)-but-not-least!-8)">&#182;</a></h2>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">scipy.optimize</span> <span class="k">import</span> <span class="n">least_squares</span>
<span class="n">g0</span> <span class="o">=</span> <span class="mi">1</span>
<span class="k">def</span> <span class="nf">fun_yt</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="n">t</span><span class="p">):</span>
    <span class="k">return</span> <span class="mf">0.5</span><span class="o">*</span><span class="n">g</span><span class="o">*</span><span class="n">t</span><span class="o">**</span><span class="mi">2</span>
<span class="n">t</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="nb">list</span><span class="p">(</span><span class="n">data_exp</span><span class="o">.</span><span class="n">dmean</span><span class="p">[:]))</span>
<span class="n">y_exp</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="nb">list</span><span class="p">(</span><span class="n">data_exp</span><span class="o">.</span><span class="n">index</span><span class="p">),</span><span class="n">dtype</span><span class="o">=</span><span class="nb">float</span><span class="p">)</span>

<span class="k">def</span> <span class="nf">fun</span><span class="p">(</span><span class="n">g</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">fun_yt</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="n">t</span><span class="p">)</span> <span class="o">-</span> <span class="n">y_exp</span>

<span class="n">res_ls</span> <span class="o">=</span> <span class="n">least_squares</span><span class="p">(</span><span class="n">fun</span><span class="p">,</span><span class="n">g0</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">res_ls</span><span class="p">)</span>
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<pre> active_mask: array([0.])
        cost: 4.37401158195697e-07
         fun: array([-1.79967166e-04, -4.86616214e-04, -3.95214750e-04, -3.28064602e-04,
        2.64063287e-05,  5.84038030e-04])
        grad: array([-2.67962338e-10])
         jac: array([[0.02038181],
       [0.07135093],
       [0.08156033],
       [0.12236751],
       [0.13260375],
       [0.18366103]])
     message: &#39;`gtol` termination condition is satisfied.&#39;
        nfev: 5
        njev: 5
  optimality: 2.679623382315392e-10
      status: 1
     success: True
           x: array([9.80384381])
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<h1 id="Various-Definitions">Various Definitions<a class="anchor-link" href="#Various-Definitions">&#182;</a></h1><h2 id="Sum-of-the-squares-of-the-data-residuals-($S_t$)">Sum of the squares of the data residuals ($S_t$)<a class="anchor-link" href="#Sum-of-the-squares-of-the-data-residuals-($S_t$)">&#182;</a></h2>$$S_t = \sum_{i}{\left(y_i - \bar{y}\right)^2}$$<p>($\leftrightarrow$ Standard deviation $\sigma=\sqrt{\frac{S_t}{n-1}}$, variance $sigma^2=\frac{\sum_{i}{\left(y_i-\bar{y}\right)^2}}{n-1}=\frac{\sum_{i}{y_i^2}-\left(\sum_{i}{y_i}\right)^2/n}{n-1}$)</p>
<h2 id="Coefficient-of-variation">Coefficient of variation<a class="anchor-link" href="#Coefficient-of-variation">&#182;</a></h2>$$\text{c.v.} = \frac{s_y}{\bar{y}}\times\,100\%$$<h2 id="Sum-of-the-squares-of-the-estimate-residuals-($S_r$)">Sum of the squares of the estimate residuals ($S_r$)<a class="anchor-link" href="#Sum-of-the-squares-of-the-estimate-residuals-($S_r$)">&#182;</a></h2>$$S_r = \sum_{i}{e_i^2}=\sum_{i}\left(y_i-a_0-a_1 x_i\right)^2$$<h2 id="Standard-error-of-the-estimate:-($s_{y/x}$)">Standard error of the estimate: ($s_{y/x}$)<a class="anchor-link" href="#Standard-error-of-the-estimate:-($s_{y/x}$)">&#182;</a></h2>$$s_{y/x}= \sqrt{\frac{S_r}{n-2}}$$
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" alt="standard_errors.png">
(a) $S_t$, (b) $S_r$</p>
<p>(Source: Chapra)</p>

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<h2 id="Coefficient-of-Determination-($r^2$)">Coefficient of Determination ($r^2$)<a class="anchor-link" href="#Coefficient-of-Determination-($r^2$)">&#182;</a></h2>$$r^2 = \frac{S_t-S_r}{S_t}$$
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<h1 id="Linearization-of-Non-linear-Relationships">Linearization of Non-linear Relationships<a class="anchor-link" href="#Linearization-of-Non-linear-Relationships">&#182;</a></h1>
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<p>It doesn't much matter even if the model we're trying to fit is non-linear. We can simply apply a transformation to form it into a linear one. Here are a couple example for handling non-linear functions:</p>
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<th>Model</th>
<th>Nonlinear</th>
<th>Linearized</th>
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<td>exponential</td>
<td>$y=\alpha_1 e^{\beta_1 x}$</td>
<td>$\ln{y}=\ln{\alpha_1}+\beta_1 x$</td>
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<td>power</td>
<td>$y = \alpha_2 x^{\beta_2}$</td>
<td>$\log{y}=\log{\alpha_2}+\beta_2\log{x}$</td>
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<td>saturation-growth-rate</td>
<td>$y=\alpha_3\frac{x}{\beta_3+x}$</td>
<td>$\frac{1}{y}=\frac{1}{\alpha_3}+\frac{\beta_3}{\alpha_3}\frac{1}{x}$</td>
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OMGuE6Jjvx2F6J6TZv7bdyO2w6VByKRKPzcmV1rlmd//iRZWdHIeODfE/uN+ltLW5titnIFfYP6+JL1efHE0R/S3xJCWCyWq19Q8w6daYcCkKe83ByfKeOfxT5hhs3ad1y0eiP+YJQHz+NjtgYFPI+LlqwxrGQ0aNykviPHauvoUAxWDqFvUBP5ebk+U8e/fZXKDMfP9eg6YDDdSADy9SXrs9eksanPnzLDdj16z1+2Gkey1V7m+/Rdq5f/e+WiZJZobR2dv8ZN+mvcJF09fbrZyif8yqkDPo/nP2NSSmI8Mxw5fdZf4ybSjQQgX5nv070mjZV0xt0HDZ3pE8hms+mmAoUq4POP7wo9sTu0+CRObbr3nDBvkamFJcVg5Rz6BpVXWFAQOHtK/OOHzLDfqLEjp8+mGwlAvtJSkrynjvuUkcEM+48eN2mhJyb+U2/xjx9u8PN88/KFZI1t7TpTF3k7NW5KMRUQ9A2qTlBUtGzujKiIu8ywY9/+kxZ60Y0EIF+JTx75zZjM3M2VEDJ86szRM93oRgKFys/LPbBx7blD+5n7mhJCDCtWGjHVtfeI0bhcoixA36DChAJB0NwZ92+FM8PWXbrPDViBPbegTu7fvLFiwSxmNzWLxRo/1wPH4NTbvRtXNwX6ZmV+YIYcDqf38FEjZ8wxMKxANxhIoG9QVUKhcNWieffDrzNDlzbtFqxYy8Y5YqBGrp85tc7XQygQEEI0NDXnLV3Vrkdv2qFAUbI/f9q5etmNs6cla2xq1prtv7R2vYYUU8H38GdGJQmFwjWL59+6dJ4ZNmrZ2mvdFk0tLbqpAOTozP49ocGBzCn02rp6Xms3NW7dlnYoUJTw82e2LPWXHI3S1NIaOmn6kIlTNTQ16QaD76FvUD0igWCN54LwC2eZYaOWrX02hOISdlAbYrF415rlJ3bvYIaGlYz8N2/Hl051xePmbwr0Kb6bwbF+o1n+QTb2tSimgl9A36BiRALBaq+FkqahbiMX7/Vb0DSA2hAUFa3xXHDz4jlmaGZZNXD7HiubGnRTgYIkx8etWDg7/XUaM9TR1R0+1XXg3xNx/mNZhr5BlRQVFi6dN1NyToOzS7OALTu0dTHDLqiJAh430G3G4zu3maFNzVqBW3dXNsN9sdWQSCQ6sXv7vg1rmPNXCCEOzg3cV641r1qNbjD4LfQNKuP7psF/M5oGUB+5X7J9p0+SzCHt3KSZz4Zt+gaGdFOBImR//rTGc4GkQWSxWH1HjpkwbxHOZlAJ6BtUA5/HC5w9RTJPg0ubdp5rN2NWdlAbH9Lfek36+13aS2bYomOXhcHrUOFqKSriTrD7nJzsbGZY2cx8wbLV9Zo2p5sKSg99gwrIz8v1nzFJMiNk8w6dF6/ZiMYc1Ebqs0SfaROyPmYyw15DR05d7Isj3Grp0rEjm4J8RAIhM2zeobPbkuWGlYzopoI/gr6hrPuS9dl7yrgXTxOYYetuPdxXrMO9fEBtREXcWeo2g5ufxwwHT5gyzm0h3UigCIUFBSH+iyXXTWhpa09asLjn0JGYL1zl4M9PmZaZ/s5z0ljJztsOffrNDVyJ72GgNi4f/2djoDfz7ZPD4Uz19Os1ZATtUCB/WZkflsyeLrkLdmUzc6/1mx2c6tNNBdJB31B2vXn5wmvS2I8Z75lhr2Gjpi32xTTSoB5EItGOVctO79vFDLV19dyD1zbv0JluKlCEpzFRQXNmSI5DOTZo7LVuk1EVE7qpQGroG8qo5Pg4n2njv2ZnMUPsvAV1UsDjrljoFhl+jRkam5j6bgit6eRMNxUoQtjp45sCvIsKC5lht7+GzPAKwOlZKg19Q1kUFXE3aM40HjefEMJmsye7e/cdOYZ2KAD5yP700d91clJcLDO0qVnLf9MOU0sruqlAEY7t3LZ7bTCzzNbgjHWdN3jCFLqRQHboG8qca2dOrvddxMyFwuFwXP2Xdu0/iHYoAPlIS07ynTExM/0dM2zUstWiNZswSYP6EYvFO1cvP7nnf5OFL1oV0qB5S7qpQC7QN5QhYrH40JaQQ1s2MPfy0dHVdV+1oVm7DrRzAcjHk3sRS92m5+flMsNufw2Z6b0EFwepH5FAsMbHXXLphGU1m8DQPZgIUm3gN7asEAkEm4J8Lx07wgwNKxn5bthap6EL3VQA8hJ28uiGAG9mRxqLxRoxzXXk9Nm0Q4H8FRUWBi+cc/faFWZoY18rKHSPsakZ3VQgR+gbygQ+l7t03sxH/95ihhbWNgFbd+JePqAemB1pBzeHMEMtbW23wOB2PXrTTQWKwOdyl8ye8uReBDN0cG4QsGUHpnVSM+gb6MtMf+c/c/LLpGfM0LFBY98N2yoY4TcN1EFhQcFar4W3Lp1nhkZVTHw3hNZyrkc3FSjC1+wsr8l/Syapa9aug8fqjZgsXP2gb6DsaUxU4Kxp2Z8/McOWnbouWLEWv2mgHnKys5fMnpoQ9YgZ2tjX8tu83cyyKt1UoAj5ebneU8dLmoYOvfrODVqJk1fUEv5TaSpxZXP/MeMnzl+EmZ1APbxKeu4/c/KH9LfMEJdOqDE+l+szZXxKQhwz7Ddq7GR3b0wgra7QN9AhFAr3haw+tnMbM2RrcKYs9O4zYjTdVADy8uB2ePCCOZK7TnQdMNjVNxDfPtWSoKgo0G3605goZthnxOgpHj50I4FC4deYAh43P3jhnPs3bzBDw0pGnms24jayoB7EYvGRbZsObFrHXE7MZrP/nrNg0PjJtHOBQggFgqA506Lu/ssMO/cbiKZB7aFvULY3qSmBs6e/efmCGdrUrOW3MdTMyppuqhJyv355eOumQFBoULFSy05daccBlVFYULDeb1H4uTPMUEdPb/6y1WW8hFDtUhMKhasWzbt/K5wZtu7SfXbAcnU60lpUWPjozq2sTx97DRkRdfdfwmI3atmKdij61Oc/WCXcu3F17ohBkqbBpU27VfuPlrWmgRBybMfWZh07tevZV3LbIYDf+vwhY8HYoZKmwbxqtbUHT5T9v8SodumIxeJNS7wlV8o069DJfeV6Nbtbr4ampkvrdnvXrYqOjBCJRFbVbWgnKhOwv0FJhALBjtXLzuzfwwxZLNag8ZPHzp5fBntzoUDw/s3rrMwPURF3B0+YWvyhvNycfSFrBowZl/r0aauu3WklhDLoafTjwDkzsj99ZIZOjZssXrupknFluql+6xfVDr+2d/3qy8f/YZYbNG+5aNUG9Tt/hcViaWpp1W3U+PWLFNwkSELd/pvLps8fMpbNn5345NvVaLp6+nMClrfp3pNuqp95mfSsei0HLjefm5ebk53NrMzPy9U3MDQwrGBZzebpkycd+/anGxLKlIvHDm9d6i8oKmKGvYePnuruxVaFvyI/rPZ3aS8tq1XH5QC/EHb6+NEdW5jl2vUa+oRs09LWphtJcfT0Dfh8Lu0UZUiZ+7KrfuIfP5g1tL+kabCuYbf28Iky2zQQQp7Hx1ra1HBwqu/cpFnMgwhCSAGfv3WZP/OonqFhzpcsqgGhDCkqLAzxW7zR34tpGtganKmLfKd7+qlE00B+VO2xDyJfPE08tCWEdrSyK+b+vQ1+nsyyta19wLZdOnp6dCMpTsz9e03adUx4/JDP4/G56B4Iwf4GhRIKhUe2bTqybaNQKGTWdOjdb5ZvoLbu73/HnkY/jnv8sNvAIRWNjMPPn2ncqm3xGSSfRj+OeRBZ4iUaGprfn7X+PC76xbOndRs0tqlZKy0lyca+1vfvlZ+Xm/osMS05qffw0YSQ5NgYDU3NogL+o7u3pyz0IoRo6+hUrmLG4+aHXzjbqnO3le5uTdt1tLSp/gf/FqCOPmVkBM2Z/jw+hhlWMq68eO1Gp8ZN/2gj8ip1Uopq//40t++rvV7T5gV8/pfPn//opyg/0tNeBbnNYO4zUsm4csCWHQaGFWTcpjJroPTepKYc2rKh/5hxbRr32LM2+MqJo/1GjZV6a+oEfYOifMx4v9J9bvzjB8zwT+89X8u5wcVjh8NOHhs8YQqPx02Kj3Vp007yqK2Do7l1yTN0vt+tumftSi0dncETpiyeONp/y84j2za5r1xf4jmpzxJP7d81y3fpgU3rW3XpblTFJOfrF6+1m7M+few6cEjxZ+rq6XcbOITD4fht2qGhqVnKHwTUVULUo6VzZ0pOaLBzrOu1frMUc0HKpdRJ6aqdOc1tZPvmVtWqi0Qia7saP6z2ZzFPeg0d8ac/SHlQwOMumTMtL+crIURLW9s7ZItcTutWZg2UnrWt/ZyAZczXvC1nLuvq6Uu9KTWDvkEh7ly5FOK3OC83hxmaWlotWrPBwal+6bfA4XD6jRi7KdBv8IQp5lbWdRs2Kv5o7teczPdvS7yExWYXPw0t5v69a2dP7r36L0dDw9TC8vS+3Q1btSnxEm5+3rJ5s3w2bA07dcypcROjKiZFhYXVazqwNThVzM0lTysqLPyQ/jb36xfDipUIIWga4NKxI5uDfJkvnYSQDn36zfJdKt386LKXOildtZPvTnP7YbVfPv5PxpvXL58/7T9mvBQ/jhoTi8VrvT3SkpOY4eyA5Y4NGstly8qsgT8i2TeMpqE49A1yVsDn71kXfObAXsma1l26u/oFMX9x/4hdHafM9++4+XkiobDEoQ0eN+/Thw8lns/+7xVQNy+e7dR3wLcznNmslMT4EdNcmYeiIu6kp73sPXz0rYvnK1Qyeh4X6+zStJpdTUKIppbWmFlzS2xZU0tLlrYd1ElhQcHmJT5hp48zwz/dkfZDMpY6+Um1f8n6fOHIgZfPn02Y72FR7Aur5DS3H1Z790FDZflZ1NipvTtvX77ALPcfPa5Dr75y3LiCaiA/L/fG2dNJCTFjXOeZmFsQQg5uXi+5NavijJw+S41vE4++QZ5SEuNXus+VTM+gras3bbFP1wGDpdsai8VycK5//siBvsNLXv9jbWtvbWv/65fzuVyLajaEED6P9z7tdYtOXZj1YrG4ipnZvWtXCCEZb1/XdHLq3G8gIeRjxnvm9wrgZzLT3y2dNzMpLpYZVjQyXrxmg3MTWac6lbHUyU+q/UP62xHTZj2JuHP20L4p7t7MM5nT3MLPn+aPGEvEYjU+oU++kuJi96xfxSzXaegyYZ6HfLevoBrg5eX3GTE6/HyF5zHRzOfbyOmz1fgvunKgb5APkUBwYu/O/RvXSi5Fs6/j5L5ynZVNDVk2a1/HqYqJuXQfbT2HjNi2IlAkFOrq6vceNurkvp2W1jatunZndtUyz2ndpYf/rCkGFSpWNjVv3rGzLFFB7d0Pv77acwFzbJsQ4tigseeaDcamZnLZuCylTn5e7YQQXX09c6tqBKe5ySAvN2fZPFfmw62ymbnnuk2KmKpBQTWQlfnh4e1wV7+g71/yMulZYtQjTR2dtl17ooMsPVaeQPSOJ1bOm/V0srsY/0I576VMr5Ker/FamJIYzwxZLFbfkWPGz/WQ/HmW2t2wy7JMr8TcIIA5gUgsFkvOJHr/Ju3k7h0zfJYQQgr4/KKiQtnPiC6f1LWkSxAKBLvWBp/et4upKEJIr2Gjprh7yfFMFxlLnfy82s8e3NdzyHAmagGPy+wD53Hzy+cRa+kqNnjhnJsXzxFC2Gx2YOjeBs1bKiCaomog8336jXOncr9+nbRgcfEnH98VWlhQMHjClKtnTlw/c2r1gaO/3ngBn3/t9PFew0bJklDV6WuwrHRY2N8gE6FAcCR085HQTZITxEzMLWYHLG/UsrUsmy3g8xMePywo4Lu0aSvLdoqfcvyzSWy0dXSkO50NyokSs5Zp6+hM8/ST+uhbCfIqdfKTao+OjGjfsw+LxRIJhGwNDk5zk0LYyaNM00AIGTZlhtybBkXXgKmF5ZDxU0P8PYs/MzP93cWjh7dfuMbhcOwc6+xeveL3WxeLPr5/L2NC9YC+QXppyUmrvRZKbjlPCGndrYerT6AUp0CWwOdxn8Y86T9mXGlmepDC87jY92/T8nK+GlSoqIjtg9qIexi5fMEcycWWVavbeq7dZFNT+mviS1BoqV87c/LamS35p2UAACAASURBVBOVjCtramvNC1ol9+2XB5np70JXfNvD79S4yfCprnJ/C4XWwMPbN/Nyc4yrmAwY+5+rY+7duNasQ0fmbhpxDx90/WvITzZQKuXt9lc4TiGNAj7/n9DNx3eHSs5mqGJuPst3afFrjqE8UJuS/p5IJPondPOhLSH/m7WsV19X3yAcBlZpf1SxYrHYc9KY6MgIQoi+geGmUxdNLSwVmU7+RAIhl5f//XHYle5uLm07fHj35n74jfpNm49xncvW+PEdudJSklKfPSWEFBUW3Lse1rZHH0IIR0OjbfdekueIxWJBUdHI9s0Xr9koKCqytrOTYiITlYDjFFJ6cDt8S5D/h3dvJGvktZsBoIz4kvV59eL5j+/cZoaaWlrj3dz7jf6baihQtgtHDjBNAyFkkoeXyjUNhBC2BueHJ289j4sZOWNOs/YdO/Tquz146d4Nq8e5LfzhFgwrVLS0sSGEFPD4+hW/LbP+e4uG8nb7K/QNf+BjxvvQ5UvuXrsiWVPZzHyWb1CTtu3phQKQs+jIiFWL5mV9zGSGJuYWi9ZsqF2vId1UoGQfM97vWhvMLDdp275r/0F088hR7pfsnOxsC+tqLBZLT9+gUeu2Z/bvGTJpWomZHhjGpmbMRUMFPG7U3X8dnBv8bLPl5/ZX6BtKRSQQnDt8YN+GNTxuPrOGrcHpM2zUaNe5evoGdLMByItQINi3Yc2J3dtFIhGzpnmHzm6BK7AvrRzatiyAuY2TQYWKs/2W0o4jT0nxcRwNDbFQxNLgEEKunjjWqFXr72d6+CPlal4Q9A2/Fx0ZERoc+CrpuWRN7XoNZ/oE2NauQzEVgHxlvk8PXugmuW6COTbRd9RY3E66HHr0762I62HM8t9uC+Q1S0cZ8Sw22q5O3cWTx9Rv2iIpPsbIxOTvWfO0dfV+MdMDIYTN0bB1/MFnfjmcFwR9w6+8efli/8a1d65ckqwxMKwwcvrs3iNGc76b5RRAdd27cXWdt0fu1y/M0Myyqsfq9b/YJQtqrIDH3bjk2/Sates17P6Xuk28nRQf02/k384uTd+kvujSf5Dk7iQCobCafc0Dm9aXmOmBoamlVfxcSIlyePsr9A0/lpOdfXjbhnNHDogEQsnK1t16TPf0L3EzFQCVxufxdqxcevHoIcmaDn36zfReUh4+/uCHju0KzUx/Rwhha3BmePuz2ezfvkS1PI+LmRe0SkdPr6aTc/H1P5zpoTTK27wg6BtK4vN4p/btOrZzK3Nsj1G7XsOJCzzqNHShGAxA7l4lPQ/2cJMcg9PW0fl79gJcN1Geff6QcWLPTma574ixdo516eaRO25+Xqe+AysYGZVY/7OZHuB76Bv+R1BUdOXk0SOhmz9/yJCsNLOyHue2oE23njjKC+pEKBSe2B26f+M6yVSnNWrV9li1vjQ3EAI1tjdkdQGPSwgxrFhp+JQZtOPIn56+wQ8PQzRu2eaHMz3A99A3EEKIoKjo1sXzB7eEZLx9LVlpUKHi4AlT+o36W0tbm2I2ALnLfJ++etH8uEf3mSGLxeo+aOikhV46urp0gwFdL54m3Dh3mlkeNWNOubqO5mczPcD3ynvf8MOOgaOh0XXAoNGuc3EqA6ifO1cuhfh7Sm5raVS5ypwlKzAHCRBC9qxfxVyCa13DrueQ4bTjQBlVfvuGosLCKyf+Obpz66eM/x2V4GhodOo7cPiU6WZW1hSzAShCXm7OpgDvW5fOS9a07tLd1TfQsFLJY71QDiU+eSSZIXTc3IWKuFM2qIfyWBlfsj5fPXX87KF9xc9j4GhotOvZe8QUV0ub6vSiAShK1N1/1/l6SLpkXT39iQsW9xg8jG4qKDv2bVjLLNjXdW7WvhPdMFCWla++IfX50wtHDtw4d7qAz5es/NYxTJ1lWc2GYjYABeHm5+1ctezy8X/E4m93sHNwqr9gxRq0yCAR+yAy9kEkszzWdS5OA4dfKBd9g0gkenj75un9u2Lu3yu+XlNLq3O/gUMmTVPXe5cBREdGrPPxYC7HJ4RwNDRGTHUdOnEqG3uhoZjD2zYyC3UaujRu3ZZuGCjj1Pyz41NGxvVzJ6+eOp7+Oq34eqPKVXoOHdFz6EijylVoZQNQqAI+/9CWkOI3m7CpWWteYLB9XedfvxDKm5TEeMl3qhHTZtENA2WfevYNRYWFURF3rp87GXE9rPiEj4QQWwfHXsNGdezTX1tHh1Y8AEV7Gv14jaf7u7SXzJCtwflr7MRRM+ZoamnRDQZl0PFdocyCrYNjwxYt6YaBsk/d+oa0lKQb505fOXk0Jzu7+Ho2m12/WfO+I8c1bdcBh+5AjfG53L0hq84d2i/ZzWBtaz8vaGUt53p0g0HZ9OHdmzvXLjPLgydOxccj/JY69A1isTgpPubetasR18Pevkot8aippVXnfgM79xtoXrUalXgASvP4zu0NAV6SsxnYbHa3v4ZgQif4hXOHv92Fx8yyapsu3WnHARWgwn2DUCh8FvPkTtjFu9euFJ+DgaGlrd20fcdOfQa6tGmHe1eC2vuanRW6IjD8/BnJGstq1ecGrcBNVeAXCvj8q6eOM8v9Ro3F2bJQGqpXJVmZH2IeRD66c+vhrfC83Jzvn1C7XsMuAwa17dFL38BQ+fEAlO/OlUubAn2+ZmcxQ7YGp8+wUX/Pni+5TR/AD92+coG5ebq2jk6nfgNpxwHVoBp9Q/anj7EP78c9iIx5ECk51as4NpvtUK9hy05dW3buYmGNaRigvPj8IWNToG9k+DXJGlsHx1l+S3E2A5TGxcMHmYV2PfqUq7tRgCzKaN8gFAjSXiS/fPbsWeyT2If336Sm/PBpmlpa9Zo2b9mpW/MOnYyqmCg5JABFIoHg7KF9ezesZe5eSAjR0dUdMX32wNHjsLcZSiP1WeLz+BhmueeQEXTDgAopK58vebk5L58lpj57lvosMTXpWVpKkqCo6GdPrmxmXq9ps6ZtOzZp215P30CZOQHKguT4uI2B3snxcZI1To2bzvIPqlrdlmIqUC3X///Wl/Z1nbGDCkpP2X1DXm5OZvq7j+/ff3j39mPGu8z36R/T32e+f5f1MfPXLzQ2Ma3XpJlzk+b1mzbH/LhQbuV+/XJoS0jxyywNDCuMm+vefdBQXEEHpScSiW5fvsAsd+ozgG4YUC3K7huGtGhYymeyNThVbWztajvWadykXpNm1jXsFBoMoIwTiUSXT/yzd90q5kQ2QgiLxerQp9+EeYsw7Sn8qejICObGfmwNTtsevWjHAVVSVo5TEEJ09fStathWs7Or6ehsX9fJzrEuLjoHYKQ+S9y0xPdpTJRkjZVNjWme/o1atqKYClTXjfOnmIVGLVqj74Q/QqFv0NDUrGJmYWJhYWZpZWZV1cTC0sTcysK6qpmVNXa0ApSQ+yV738Z1l48dFgq/zZiuo6c3YtqsAaPHcXD+I0ilqLAw8vq3a3A69O5PNwyoHGV/7uy/ftfIxJTNZiv5fQFUjlAgCDt1fF/IasnEDISQZu06TPP0N7W0ohgMVF3M/Xvc/DxCiKaWVvMOnWjHARWj7L6hspm5kt8RQBU9uRcRumJJWkqSZI2Ftc3URT5N2ranFwrURMT1K8xCo5atdfX06YYBlYP9nABlS1pK0vbgoKiIO5I1unr6QydP6z96vJa2NsVgoB5EItH9mzeY5RadutINA6oIfQNAWfHtGssjByQ3f2eumBjv5m5sYko3G6iN53HR2Z8+EkI4HE6z9jhIAX8MfQMAfQV8/rlD+45u31L8litOjZtOdve0r+NEMRion6i733Zl1a7fsKKRMd0woIrQNwDQJBKJIq5e2bl6+Yf0t5KVJuYWY1zndezbH1cYgdw9uXeXWWjUsg3dJKCi0DcAUPPkXsT2lYGvkp5L1mjr6g0aN3HwhKk4lQEU5HlcNLPQEJN/gFTQNwBQkPjk0e61KxOiHknWcDQ0ug4YNGrGHNyhDRRKKBAQQvQNDGvVcaadBVQS+gYApUqOj9sbsjIq4q5kDZvNbt+77+iZbmaWVSkGg3KlXtPmuG8qSAd1A6Akqc8Sj2zffDfsslgslqxs2KLlhHmLbGvXoRgMyiHnJs1oRwBVhb4BQOGexkQdDd384PbN4h1D7XoNx7nNd27SnGIwKFcKCwoky44NG1FMAioNfQOAAiVEPTq8NaT4UQlCiG3tOqNnujVr35FWKiifUhLjmAUtbW07B+ziAimhbwBQiLhH9w9uDol9EFl8pX1d55FTXZu274gLLEH5EqOfMAv2dZw1NDXphgHVhb4BQJ5EItHD2zeP7tj6NPpx8fW2Do7DJs9o1bU7OgagJTkhllmoXb8B3SSg0tA3AMhHUWHh7UsX/tm++e2r1OLrHes3GjJpWtN2HdAxAF0vnz1jFuwc69JNAioNfQOArLI/fzp/aN/5fw7lfskuvt6pcZNhU1wbYXYdKAMK+Pz3b9KYZdtatemGAZWGvgEoiIq4a2Nnpx43VV/vu+jGudNFhYWSNWw2u2WnrgPHTaxdryHFYKBMGW9ff/rwoW4jlzK7V+nNi2ShUEgI0dDUtKpeg3YcoOzfyxebtOugo6srxWvRNwAFl48dunfjav1mLdr16lu/SXNTSyvaiaR35cRRybKmllab7j2HTppuXcOOYiRQvnevXnlPHWdetVqnvv1d2rSzd3TilLFZlVKTv01nXs3WHidFwlrvhSwWu3WX7q269ajTsLGBYYXSv5aVJxC944l//0R56OmED1MoicPhuLRpN2TiVMcGjWln+WMoafghy2o2A8ZO6NJ/UNm5z0j667SY+/c2+HvSDgJljq6efte/Bg8cO9HE3OLXz9TXYFnpsJTaNwAwlrrNeHTnVotOXdv17OPs0lRXT592Iuk9vH3zc+aHjn36l52/EKB8j+/c9p46zsGpfqd+A5q0bW9mZU07EcCvDGzipGdYoWOvvq269ahZu24pJx1H3wDUPI+LrmZXU6XbBYDiPmVk8Hj5OD4FqiLm/j0nl6YcDuePXoW+AQAAAEqL6RvYtGMAAACAykDfAHQUFRbeu3H1wtFDhJCou/+WuIMDgCpCVYMKkbpcy9aVQlB+aGhqurRuN7J9c6tq1UUikbUdLigHlYeqBhUidblifwPQwWKxNLW06jZq/PpFikubdmaWVWknApAVqhpUiNTlir4BaNLTN+DzubRTAMgTqhpUiBTlir4BqIm5f69Ju44Jjx/yeTw+F5+zoA5Q1aBCpCtX9A1AwZvUlBULZuvo6bbp2iMtOenKiaM6enq0QwHIBFUNKkSWcsX8DUBHAY+rratHCOFx8zEBFKgHVDWoECnKFfM+AQAAQGlh3icAAAD4M+gbAAAAoLTQNwAAAEBpoW8AAACA0kLfAAAAAKWFvgEAAABKC30DAAAAlBb6BgAAACgt9A0AAABQWugbAAAAoLQo9A3h588U8Pm/eMKVE0eVFgZALkpUdfbnTyKBsPgTUNVQdvz6Qxi1Cr+moeT3y/365Z/tWzr07veL59w4d7pe02YW1jZKS6UgPZ3sZNzCxfgXckkCClWiqrM/fRzZvvnBW/eNKleRPAdVzUBJU/fbD2G1qVWCclUMZfcN966HOTVy+fVzGrdpe+PcmZHTZyknkkLJUnaytx2gHCWqOiku1tTSqnjTQFDVhBCUdNnw2w9hdapVgnJVAGUfp7h/80adhiVL9nlc9PHd2y8cPZSV+YEQUq9Js3vXw5QcDEBqJar6WWx0Led6SXGxp/fvvnPlkkgkIqhqKDO+/xB+/SL57MF94RfOolahNJTdNyQ8eVSjdu3iaw5uXr916ZIqZubJcbELxg4nhFhVq/46NUUoECg5G4B0SlR1Unx0WnLyzYtnNbW1d65eviXIj6CqocwoUa7Hd4UGL3Tj87lnDuwO8fMkqFX4HaUepyjg83Oys42qmBRfWb1W7W4Dh1YxN69sanov/BohxLCSEUdD8+2rVBv7WsqMByCFElUtFouT4uIGT5o6ZMJUQoigsOjYzq0zvANQ1VAWlCjXp9GPT+zeHnr+qmHFSra1HO/fukHwCQy/o9S+QUNTU1NLq4DPK77yU0bGyd07Cgr4X7OzHOs1YFbqGxjkfv2qzGwA0ilR1W9fpfL43D7DR397WCw2rFSJWURVA3UlyvXysX/a9uhlWLESIcSlTTuXNu2Y9ahV+AWlHqfgcDjWtvaZ6e8ka3asWhYVcdtn47aNx8/Vdq5fp1FjQohIJMr9+sXEwkKZ2QCkU6Kqk2JjzSyq6urpM8ObF881bduBoKqhbChRrilPEyqbmjHL2Z8/8Xk8glqF31H2+Q3Va9V6/+a1ZHjhyIGuA4dUNDJOiou9f+uGY/1GhJD0168MK1Yys6yq5GwA0ile1c/jY7I/ZX7NziKE3L584U1qSq+hIwmqGsqM4uXKYrG4uXmEkNRnieO7d/ia/ZmgVuF3lH0dZov2XSJvXes6YDAzrNu4yXqfRcd3bHNs1FgsElWtYUsISXzy2KVNeyUHU77oyIg7Vy7m5+VK1rivXE8xD0iteFU/jY7qOnDwnGEDtbS09PQNgvcdMbW0IuWjqlHSKqF4uY6cMXudt8fDf2/mfP3isXI90yuUh1olKFcZKLtvaNq+474Na8RiMYvFIoQEbNmV8ea1foUKFY2MJy/0ZJ4TExnRdeAQJQdTsldJz32nT2jVuVuJs0RBFRWv6g3HzhJCJi/wKiwq1NHVlTxH7asaJa0qipdri45dGrVsk/Mlu4qZOfOZTMpBrRKUq2yU3TdoamkNnjg150t2RSNjQgibzba0qV7iOTVq16nXtLmSgylZ/OMHTdt3XBi8jnYQkIMSVU0IYWtwdDR0iz9H7asaJa0qSpSrto6Oifl/TmVQ+1olKFfZULg/Red+AyUfrz80aNwkSeerriyrVVf7n7FcQVWjpFXIr8tV7WuVoFxlo+z9DcCwsa/58V367rXB9o5OLM637q11l+50UwFIDSUNKgTlKgv0DXS8Sk7Kzfly9+rlu1cvS1aiakF1oaRBhaBcZYG+gY7GrdvuuHiDdgoAuUFJgwpBucqCwvkNAAAAoKKwv4GaF08T9m9Ym5wQp2dg2KxDpxHTXPX0DWiHApAeShpUCMpVatjfQEf2p4/eU8aZWlWduGBxv1FjE6Mer/KYRzsUgPRQ0qBCUK6ywP4GOmIeRLbr1WeKuzcz7D5o2JS+3XK/fmFuMAOgclDSoEJQrrLA/gY68vNyK5uYSYYamppVzMy/ZH2mGAlAFihpUCEoV1mgb6DDsX7Dc4f2pT5LJITk5+WGnT7+9uULy2rVaecCkBJKGlQIylUWOE5Bh62DY69hI2cPG6Crq8fj5uvq6c9bvobD4dDOBSAllDSoEJSrLNA3UDNk4rROfQakJCZoamvXcq5nYFiBdiIAmaCkQYWgXKWGvkGpBEVFl48fadm5G4vFSk6MJ4SwOGyBoCjxyWNCSNO2HWgHBPgzKGlQIShXuUDfoFQFBfzNQX62tR25eflbAv1KPNo0DFULKgYlDSoE5SoX6BuUSt/A8GL8C2Z5d9gtumEAZIeSBhWCcpULXE9Bx8PbN8/s31N8zeKJo/k8HqU4ALJCSYMKQbnKAvsbKDh3aH9SQkz2x0zJmvy83Gex0TibF1QUShpUCMpVRugbKHjz8kVKYgI/nysWX2fWsNicCfMXaWpp0Q0GIB2UNKgQlKuM0DdQMN3T78Ht8PRXL/uPGU87C4AcoKRBhaBcZYS+gY6mbTuQ/17zIxaLWSwWrTwAMkJJgwpBucoCfQMdQoEgyG3Gk3t3CCFsNofNZvP43PPRSbRzAUgJJQ0qBOUqC1xPQcedq5fFYtHKvUdMLayW7trfd+SYPsNG0Q4FID2UNKgQlKsssL+Bjoy3rzv2HmBf15nN4Tg41Xdwqu86uO/X7KyKRsa0owFIAyUNKgTlKgvsb6DD0rr6tbMnsjI/VDY1ibl/r4DH/ZL1OT83l3YuACmhpEGFoFxlgb6BjpZdumnp6DyNfjJ08gx/18nD2jYzMbOwsK5GOxeAlFDSoEJQrrLAcQo6OByO55pNzPK2s2FvUlPrNmqMs3lBdaGkQYWgXGWBvoGOosLCAj7PoEJFQoiJuYWJucWXrM/aOjq0cwFICSUNKgTlKgscp6Dj/q0bw9s0ObV3p2TN1H7dKOYBkBFKGlQIylUW6BuocWzQ+MTencEL5+BmKqAeUNKgQlCuUkPfQE0NB4cNR898SE+fN3JQxtvXtOMAyAolDSoE5So19A00GVUxWbH7oGP9hrOG9Ofl59OOAyArlDSoEJSrdHBeJB01ajkYGFYghGhoas70DaxVv0HCwwe0QwFIDyUNKgTlKgv0DUolKCq6fPxIy87d9PQNCgsLHtwOZ9ZXMq7cqlsPutkApICSBhWCcpUL9A1KVVDA3xzkZ1vbkZuXvyXQr8SjTcM6/OA1AGUYShpUCMpVLtA3KJW+geHF+BfM8u6wW3TDAMgOJQ0qBOUqFzgvko74xw+PhG6inQJAblDSoEJQrrJA30CHprbWzQvnaKcAkBuUNKgQlKsscJyCDhMzC3OrqktmTW3QvJWuvj6zsnO/gXRTAUgNJQ0qBOUqC/QNdLx4mvgu7ZWGlmb6mzTJSlQtqC6UNKgQlKss0DfQ0aRt+yZt29NOASA3KGlQIShXWeD8hrJCLBbTjgAgTyhpUCEo19LD/gY6hAJBkNuMJ/fuEELYbA6bzebxueejk2jnApASShpUCMpVFtjfQMedq5fFYtHKvUdMLayW7trfd+SYPsNG0Q4FID2UNKgQlKsssL+Bjoy3rzv2HmBf15nN4Tg41Xdwqu86uO/X7KyKRsa0owFIAyUNKgTlKgvsb6DD0rr6tbMnsjI/VDY1ibl/r4DH/ZL1OT83l3YuACmhpEGFoFxlgb6BjpZdumnp6DyNfjJ08gx/18nD2jYzMbOwsK5GOxeAlFDSoEJQrrLAcQo6OByO55pvs5xuOxv2JjW1bqPGLBaLbioAqaGkQYWgXGWB/Q3UiESipLjY8PNnKlcxNapSWVtHh3YiAJmgpEGFoFylhv0NdBQVFvq7To5/9EAsFrfs1MVt+MCBYyeOmTWXdi4AKaGkQYWgXGWB/Q10xD9+pK2tc/J+nF3tuoSQrWcuh506Jigqop0LQEooaVAhKFdZoG+g4+XzRGeXpmwNDjM0r1qtmp39x4x0uqkApIaSBhWCcpUF+gY6bGvXuXH+TF5uDiFEKBIlRD1KS0k2tbCinQtASihpUCEoV1ng/AY6GjRv2ax9xxFtm4rF4rGdWguFgpnegRwN/HeAqkJJgwpBucoC/0zUjJw+u8uAwW9TXxAWy86xDuYpA1WHkgYVgnKVGvoGmkwtLE0tLGmnAJAblDSoEJSrdNA3UBMdGXHnysX8vP/NbOq+cj3FPAAyQkmDCkG5Sg19Ax2vkp77Tp/QqnM3oyomtLMAyAFKGlQIylUW6BvoiH/8oGn7jguD19EOAiAfKGlQIShXWeA6TDosq1XHXOigTlDSoEJQrrLA/gY6bOxrfnyXvnttsL2jE4vzrXtr3aU73VQAUkNJgwpBucoCfQMdr5KTcnO+3L16+e7Vy5KVqFpQXShpUCEoV1mgb6Cjceu2Oy7eoJ0CQG5Q0qBCUK6yQN+gVIKiosvHj7Ts3I3FYiUnxpd4tGnbDlRSAUgNJQ0qBOUqF+gblKqggL85yM+2tiM3L39LoF+JR5uGoWpBxaCkQYWgXOUCfYNS6RsYXox/wSzvDrtFNwyA7FDSoEJQrnKB6zDLhJzs7BULZtNOASA3KGlQISjXP4K+oUzg87i3Lp2nnQJAblDSoEJQrn8EfQMAAACUFvoGAAAAKC2cF6lUfB7v2unj36/P+fJF+WEAZIeSBhWCcpUL9A1KVVTAv3D00A8fsqlZS8lhAGSHkgYVgnKVC/QNSmVYyWjLqUu0UwDIDUoaVAjKVS7QN8jT87hoj/GjC3hceW2wp5Mds6Ctq7d8134H5wby2jJAaTyNiVo8cawiSpoQoq2rt3T7HscGjeW1cSjnEp888pw8ToHlumOvY/1G8tq46mLlCUTveGLaMdTHw9s31/l4LN990LqG3e+fXQrpr9Pcx42Y7bfUpU07uWwQ4I9ER0YEL5wTGLrHtnYdeW3zZdIzr0lj3QKDUdUgX0y5BmzZaV/XWV7bTEtJWjxhNMqVEKKvwbLSYXEW+/jmCmhnUSNWNtWNq5is8VzQumsPfQNDGbeWlfnBfdzIkTNmt+nWUy7xAP6UeVVri2o2we5uzTp0qlDJSPYNpqe98pw8dqqHT/OOnWXfGkBx5lWtq1a3DXZ3c2nTrqJxZdk3+DHjvefEsRMWLGrZqavsW1N1WmxWBQ30DQpQo1btoqLC3WuD2/fso6WtI/V2uPl5iyeN7TpwcJ/ho+UYD+BPWdva6ejrb17i26ZbD119fVk29THj/aLxo0ZOd+3Qp7+84gEUV7WGrVEVk7VeC1t07GxQoaIsm/qaneUxbmSfEaO7/zVUXvFUGtM3YP4GhRgyYWrDFq2XzJpWWFAg3RYERUWBs6c5Nmg0aNwk+WYDkELPwcO7DhzkOXls7lfpr1j7kvXZa9LYviPHdB04RI7ZAEro0LvfyJlzPMaPynyfLvVGuPl53lPGte/Vt//ocXLMpgbQNyjKpAWLTSwtls13FQqFf/pakUi0wn1ORSPjaYt9FZENQApDJ013ad3WZ+oEPlea887y83K9p4zr0KffgLET5J4NoISu/QcNGD3ec+KY7M+fpHh5AZ/vP2OyQ70GI6a5yj2bqkPfoCgsFsstYEVRQcGWwD/+2x+6Yknuly9zg1ay2fgPgjJk/FwPm5q1lsyeUlRY+Ecv5PN4ftMnOrk0GTZ5hoKyAZTQb/Tfbbv39J78d17O1z96oVAoXL1oXmVTU3xz+yH8WVIgjoaG57rNSQlxh7dtKv2rDm4OiXv4wDtkq6aWp/xoMAAAIABJREFUluKyAUiBxWK5+gbqGVZYsWB26XekCYqKAudMs7S2mbzQS6HxAEoY7Tq3YctWf7STTCwWb/D3ys/LcQsMxje3H8I/imLp6ukv2bb7xtlTYSePlub5l44duXHudGDoHtmvxQBQBA6H475iHZ/H3RLkV5rnC4XCFe5z9PT0ZwUsY7FYCk4HUNL4uR7Va9UKmDWllGeb7VqzPC05ySdkG765/Qz6BoWraGQcsHXnvo3r7l678utn3r954+Dm9QFbdxpVMVFONgApaGhqeq7bnJwYty9kza+fKRaLN/gu5uXlLQxex+FwlBMPoDgWizXDe0lFI+Pl82eJBL+5evDozq2P7twO2LpTW1dPOfFUEfoGZbCwtvEN2bbR3ysh6tHPnvMs9kmI32K/TdutbGooMxuAFHT19Jds2R1xPezE7h0/e45YLN60xCcj/a3PhlANTU1lxgMojsPhzF+2WiwSrvZaKBKJfva062dOXTxyMGDLLsOKlZQZT+Wgb1CSmk7OHqtCguZMf5n07PtH01KSlrhOnbd0lX0dJ+VnA5BCBSOjoNA9548c+NkxuD3rVr5ITPDdGKqlra3kbAAlcDQ0PFZv/PQhI8RnkVj8gymSI8Ov7V4XHLh9r4m5hfLjqRb0DcpTv1mLyR7eftMnlrik+FNGhu/0iRPmLWrUsjWtbABSqGxmHrR9776N6+6GXS7x0D/bNz+4HR6wdaeunkzzRAHIi7aOTsDmHW/TXoUGB5Z4KPZBZIjvYr9N26tWt6WSTbWgb1Cq9j37DJ4wxWfqeMnkOblfsj0nj+0/6u+OfTF9Hqgey2o2S7bu2hzkGxVxR7LywpEDV08dDwrdayiPeakB5EVbV89v8/b4Rw+LX+OW+vzpioVzFq/diN29pYS+Qdl6Dx/t0qad77SJfB6vgM/3d53aomOX/mPG084FIKUatWp7rFq/ymNucnwcIST83JmjO7YGbd9rbGJKOxpASQaGFZZs233z/JmTe3YQQtJfp/lMmzDdy9+pcVPa0VQG7odJgVgsXrVoHp/LFQkFFSoZzwlcgevTQNXdD7++IcBr0LhJx3dvX7Zzv7WtPe1EAD+V+T594dhhPYeOuPjPoVEz5nTuN5B2ItXA3A8TfQMdgqIivxkTORoaviHb2BoatOMAyMG1MydDly9ZunM/9vdC2Zee9mrB2GGDxk3CxOelh76BMj6XS1gsHV1d2kEA5OZL1udK8rh5MYASoFz/FPoGAAAAKC2mb8B5kQAAAFBa6BsAAACgtNA3AAAAQGmhbwAAAIDSQt8AAAAApYW+AQAAAEoLfQMAAACUFvoGAAAAKC30DQAAAFBa6BsAAACgtNA3AAAAQGmhbwAAAIDSQt8AAAAApYW+AQAAAEoLfQMAAACUFvoGAFBnme/TaUcAUCul6hvycr4KiopkfzO5bATgj8iren8IJV3GnTu0f3LvzmGnj9MOonAikejmxXO/fRoqFmRXqr5hzrABj+7ckv3Nbpw7JftGAP6IvKr3h26cOyUWixW0cZDR05io7SuDCgsK1nm5nzu0n3YcOfianbXGc8GpvTu/fyjq7r+/fXl62qtnsdEKyAXli/KOU2R//nTtDPoGUCv3blxNf/2Kdgr4gezPn5bNc2W+XhtVrtKyUxfaiWQVcT1sat9uj/699Srp+feP3rl6uWWnrr/eQvyTR4nRjxWTDsoRjT99weM7t6vXrJX2IiU97aWzSzObmrVK+cKEqEeJ0Y+LCgs1tbT+9E0B5CL1+dOnMU8MDCvUa9rcqHIVyfqUxPi05OQaDg4cjkZRUaF9HafSbE0sFkffj0iIemRlU0NhkUEaIoFg+bxZnzIyCCFsDY7H6pDKZua0Q8nqw9s33iFbws+dKSwoKPHQl6zP+oaGWtrav95CYtTjxKgHQyZMVVhGKBf+eH/DlqV+gbOnXzp+OPZB5Kyh/aIjI4o/+jT68dGdW79mZxFCws+fycnOljz0JOJfkVAY9+iB7KEBpHB0xxb/GZN4eXnPYqJmDuz14mkCs37v+tUr3edmvHu9Z/2qwDnTLx87UvxVvyjp5Pi4Ah7/8d3byvwpoDR2rVsZ9+g+szxxroezSzO6eeRiwNgJdRq6/PCh62dOdeo7gFn+WcWKRKLoe3fevnrF5/GUExjUlTTHKeo1a+65ZtPitZtade5258rF4g/Vcm7wJjUl7OQxQgiPx02Kj2XWFxYU/Hv5IiHkxnkcqgAKsjI/7N+4zmfDtkHjJ0/x8GnVtcf+DWsJIZnv04/t3Oq7MXTk9NkBW3bpGRqw2P/5pfhZSRNCrp87SQi5H349LzdHuT8N/Mq9G1clZwC07NS13+hxdPMoQWpSoq2DI7P8s4qNf/SAubQkMvwarZygHqTpG+wdv+3FrVS5Sn5ebvGHOBxOvxFjI66FEULMraydXZow6yWfrXevhvG4+TJFBvhzyQnxurp6do51maFj/YbJCXGEkFfJz/X0DSxtqjPrbR0cCYtV/IU/K2mhQHDr0nlSrCeGsuDtq9TVi+YzJ6tWrW47d+lK1n//Q9VP4pNHxfdD/Kxir585+W3h7EnlhwR1Ik3fwOL86lV2dZwy37/j5ueJhEJtXT1mpaWNzeLVGwkh8wKDvz84B6BomtraPG4+Nz+PGebn5ugZGBJCdHR0ufl5fC6XWZ/75cv3f2Z+WNI8Hnem1xJCyOLVG21r11bSjwG/xOdyA2dPZ/6XdfX0vdZv1tM3oB1K4W5ePN++Z5/ia35Ysa279WQ+hLsPGkYhJagR+V9PwWKxHJzrnz9ywKlxE8lKO8e6rbv1IIS07tajopGx3N8U4NdqOdfT1dO/e+0KIURQVHTj3JlmHToRQmo5169oXPnEnu35eblREXej7t35/tvpD0vawLCCpKQdnBso7yeBnxCLxWu8F75+kUwIYbFYcwODq9nVpB1K4XjcfLFIpG9gWHzlDyu2Sdv2TMW26txN2SlBvfzx9RSlYV/HqYqJuY6eniI2DiAFA8MK85avWe/tfu30iU8ZGdXs7UdMcyWE6Ojq+m3cvnPN8psXztVp0MilTTs2+wfNNEq67Duxe/udK5eY5cHjp7Tq2p1uHuW4dfF8u//ubGCgYkFxStU37Lh444fLk929fvh8G7ua5eSXFso+ScU2a9fhwI17716/rGRc2bCSkeQJ929dn7bIl7mi2P3vETVq/uCgA0q6jIt9ELknZBWzXK9p8zGubnTzKM4MnyXFh3GP73cfNPT7p6FiQXHkub+hgM9PePywoIDv0qatHDcLIC9sDY61rX2JlbEPImPu3+s/ZvzL50+TE2JnePtLHkJJq4Ssj5nB7m4igZAQYmJusWj1BraGQvakljWvkp6XaHNRsaAE8jy/gc/jPo15Uq9pc8mZOABlX8DW3d3+Gvoq6Xkl48obj58vflAcJV32CQWCZfNcsz5mEkI4GhruK9eVnzOodA30uw/+z0mOqFhQAlaeQPSOp6QJ9ns62V2Mf6Gc9wJQApQ0dZuW+Fz45yCzPNM3sOfg4XTzlHGoWJCFvgbLSoeF+2gDgKoKP39G0jR06NMPTQOAEqBvAACV9DLp2QZ/T2bZ1sHR1SeIbh6AcgJ9AyhKcnzcjlXLaKcA9ZSX8zVw9nTmVgsGFSp6rd+so6tLOxRAuVAuzjoGJRMKBCf37ty3YY1QILCrXadD7360E4FaEYlEqzzmvX+TRghhs9kLlq8xr1qNdiiA8gL7G0DOnsfHzPir9+61wUKBgBCydfkS3JEE5Ovw1o0PboczyyOmzWrStj3VOADlC/Y3gNwUFhQc3Lz+5J4dQqGQWWNqaTXLb5munj7dYKBOoiLuHtm2kVlu1LLV0MnT6eYBKG/QN4B8PIt9stbL401qCjNksVjdBw2duGAxmgaQo8z0d8Hus5nG1NTSyj14PYfDoR0KoHxB3wCyKuDzD20JKb6bwcyy6uyAZQ2at6QbDNRMYUFBoNuMnOxsQoiWtrbXus3F5wsHAOVA3wAyeRoTtc7L483LbzPJYDcDKM7mQN+UhDhmebp3gH0dJ7p5AMon9A0gpR/sZrCynhOwrH6zFnSDgVq6cPRQ2KljzHLv4aO79h9ENw9AuYW+AaSR+OTRWi+Pd2kvmSGzm2HSAk/ctxcU4Xl8TOjyb/eBdHBuMGnBYrp5AMoz9A3wZ/g83uGtG07s3i4SiZg15lWruS1Z5tykOd1goK5yv2QvnzurqLCQEFLJuLLn2k2aWlq0QwGUX+gb4A8kRD1a6+We/voVM2Sz2d3+GjJ5oSduvgcKIhKJViyc8yH9LSGEw+HMX762irk57VAA5Rr6BiiV73czWFjbzFmyzNmlGd1goN72rl8VFXGHWR47Z0Gjlq3o5gEA9A3we/GPH67zdk9/ncYMsZsBlCMy/NrxXaHMcvMOnf/6eyLdPABA0DfAr3Hz83auWnb5+D9isZhZU82uplvgcgfnBnSDgdp7l/Zy9aL5TOFZ2dSYv3w1i8WiHQpA3WR//hR+7vTr1BdzAkp7G0L0DfBTUXf/DfFbnPk+nRmyNTh/jZ34f+3ddzzV3/8A8HMHrr2FQkbKLFLaJS2KUBr6tPu0VfIpFSozGiTFp6G9S4OGSpRkNDSQSGSPyt7u+P3x7nN/93tFxnXfF6/n4/PHuee9XnxOvJzzPuf8tWELvJUGultDXZ3n5vW1NdUIIYqQkEtAkJCwCN5BAdB70Gi0j68SH968HP/0CY1KJRAI81atVVRWac+1kDeA36itqT59yIe1m0FFQ9PBw1dTTx/fwEAf4b/bKSczAyFEIBAc3H1VNDTxjgiAXiL365enYbef3L5ZUfaTWclgMCLvhC7ZtLU9d4C8AbB7GxtzZO+u78VF2EfoZgBcdvtcyIuIB1jZZtnK8TPM8Y0HgF6guqI8+n545N3QzE8pbIekZOUmW1hNtrRq560gbwD/D+tmeHjjKrNGZZDmVo/9g3T1cIwK9Clp79+eOXwAK2sbGC3bvA3feADo0eh0+ofEhKfhoS8fRzQ2NLAeIvPxDR8zztRyzmjTqSRyB5IByBvAL69jngW6O/8oLsY+Yt0Mizc6kPn48A0M9B3lP757bbWnNjcjhCRlZHf5BXboxxkAgCn/W9bzB+FP7oSWFhawHVJWH2RqaT3NxlZcUqoTd4Z/kwDVVFed8fNl7WZQ1Rzi4OGjoQPdDIB7aFTqPkf7stIShBCJTN7ld1RKVg7voADoYepqa+Ijn0Tdu/U+IZ75ghpGREx8/HQzM9uFXdwTDvKGvu5VTHSgm8vPkl/dDCQy2WbpSuhmANx38oBXytvXWHmNk4uOoRG+8QDQg9Dp9LT3SVHht6PuhTXW17EeIpFI+iONzebajZo8hSM/2CFv6LtqqirP+O9n62bY6rVfXUsHx6hA3/TsQXjYpfNY2WSm5ayFi/GNB4Ce4ntx0bP7YQ9vXC3Oz2U7pKSqPsVqzpTZNpIyshx8IuQNfVTi8+hAN2esTxhBNwPA1beM9IA9v7a4VNUcYr/XG994AOB9TY2Nr55FPbx5ueV4hLCI6ASzmZMtrLup0w7yhj6nouznqYPeUWF3mDVqQ7S3evqqDdHGMSrQZ9XX1e5ztMd6VkVExVwCgiiCgngHBQDvykxNfnjz6rP74fV1taz1RCJxqPGoybNsxk6b0a3/iCBv6FtiHz085rm7srwM+8gvILBo/WabZatIJBK+gYG+icFg+O3alpf9FSFEIBC2ePoqKLVrxToA+pqfJcVR9+4+Cr3O3JGYSU5BcaK5hfl8u36KA7gQCeQNfUVF2c9jnrtfPo5g1gzRN3Dw9FFS08AxKtDHXT0R9DLyEVZeuHbjGNNp+MYDAK9pbmpKjH76NCz09csYOpXGekiAQhkx0cRsrt2wUaO5uXsL5A19Quyjh0c9XavKy7GP0M0AeMH7hLjLQQFY2WD0mIVr7fGNBwCekpma/DT8dtS9sOqKcrZDGjp6ZnMXmMy0pAjhsCkx5A29XPnPH0Eeu5l/0iGEtIYabvH0UVJVxzEqAEqLCn22baLRaAghOQVFp/1HIIsFACFU/uN7zMP7T+7czEpPYzskIy9vMnP2jLnz8R3Og7yhN4t99DDQw5WZqwpQKHbrNkE3A8BdU2Oj99YNWAcYv4CAs3+QmKQk3kEBgCdqc/Pbly+eht/CNqhkPcQvIDBy0mRTCxuj8RN54ac35A29U/mP70fdXeOjnjBrtIYNd/D0GTBQDceoAMAEee3NSP6Ilde7uMEGKKAvy8nMiAq/w7ZBJUZDR890ltVkSytRcQlcYvstyBt6od92M8xZ/jeRSMQ3MAAQQhE3rz2+dR0rm9sunGZti288AOCipqryxaOHD29ezUxNZjskJSs3frrZNJt5qppDcImtbZA39Cpl30uPursmREcya3QMjbZ4+PRXUcUxKgCYsj5/Ou7jjpXVtXT+dnLBNx4AuAzboPLhzcsJUZHYFm5MfPz8hqPHmlrOGWM6lcjDO7rxbmSgo2IfPQx0d6murMA+UgQFF661h24GwDuqKys8Nq/HNvMVoFBcDh8ToFDwDgoALsnL/hrz8N6T2zdLiwrZDnVxg0oug7yhNygrLQl0d0l8FsWs0R0+YouHr6IyLKEDeAWdTt/v5FBSkIcQIhKJjQ0N/for4R0UAN2utqY64WlkGxtUms+z61m7AkHe0LMxGIyIm9dCDu6rq63BaoSERRZvdLBYtAS6GQBPuRDo/zY2Bisv2ex41v8AvvEA0K24uUEll0He0IOVFOYf2bPzXXwcs8ZwzLhNbvvkFBRxjAqAlhKfRV0/FYyVjU1MbVesgbwB9FalRYXPH4Q/uH4F611jpaSmMWW2zRSrOZLSMrjExhGQN/RIWDfDqQPezH1NhIRFVv6zc8bc+dxcbRSA9ijMzTm00xHroVVUHvjPvkPQSkHv09jQ8Pp59G83qBQRFRs/w7z7NqjkMsgbep6SgrzDu3d+SIxn1gwfN2HTXm9ZeQUcowLgtxobGvY52tdUVyGEBASFXAOChUVE8Q4KAE7CNqiMvh/WUPc/4xFc26CSyyBv6EmwboaTB7yYrVNYRHSF4w7oZgA865iH69e0VKy80cVdZZAmvvEAwCn/bVB5rTA3h+1QfxXVSTMtpljN4c4GlVwGeUOPUZyfe3j3zo+vEpg1RuMnbtrjLSMvj2NUALTh7sVzkXdvYWWrJStMZ1vjGw8AXdfU2PjqWdTTsNA3sTHYBitMQsIio0ynmFrM4fIGlVwGeUMP0LKbQURUbPlWJzPbBfgGBkAb0j4khRzah5W1hhqucNiObzwAdFFrG1QSicQhQw1NLa3x2qCSyyBv4HVFeTmHd+9Mfp3IrBkxYdKmPV7S/aCbAfCu8p8/vLfaY8vhSUrLOPsfbed8Mzqdnp/9tba6Sl5JhfnOeU1VJUVQqCfOWAO9QNn30hcRDx7fvpGd8ZntEI9sUMllkDfwLjqd/ij0+on9Xsy5v9DNAHoEOpXq47jpZ0kxQohIJu30C5SS69eeC5PfJPrt2l5VUS4pI1NaVGhht+TvbbsQQlsWWK/atmuUyZTujbsdsjM+f0p6w0ehTJhm3hf+suzL/rhBpdlcu949HtEayBt4VGFuzmHXHSlvXzFrjCea2O/xaufPXwBwdMrPN/nNrx6yvx136Q4f2Z6raDSa5+b1louWLFi9gUQmZ35K2TRv9ojxk4aNGtOdwXbAzdMnmhobbVeueXI31Hn1skMXr+MdEegW2AaVj2/dqCwvYzukoaNnNnfBpJkWgkLCuMTGCyBv4Dl0KjX8ysVzRw421NdjNSJi4ssdtkM3A+gRYiLu3zl/GitPNJs1e/Gydl5Y9r20urJCQ1uPRCYjhDS0dY+HP/7t8jhZ6WlpH96JiIrpjxzFPCE+6omuoVFB7rf87GytYQbMvdzeJ8Rlp6epDdHWNhjOx8/f6a+rtLDgwfUrJ+9HkkgkdS3tM4d8O30rwJt+bVB540rmpxS2Q1Jy/cZPmzHdZv5AzcG4xMZTIG/gLTmZGYdddqSnfGDWjJtutsHFvUdsdgJA/resI3t2YWUlVfVNbt7tv1amn/wQfYNAN+cvqfNHTpisrq2jpKre8rTrp4LvX71kYbckPyvzhI+H+7+nsbX9/V2cVAcPkVNUFBWXPOHj4eh90NjE9FJQQEL0U1MLq7BL526cPu4efJpt/fW0928/sMxRwpDJfHNXrGarjI+KNDaZTCKREELJr19NmzOv/V8a4GU0Gu3jq8QevUEll8E3glfQqdTQcyEXjx1ubmrCaiSkpDe4uI+dNgPfwABop/q6Wo9N67CtUgSFhF0CgjrUl0sgEDxOnAm/fD4x6um1E0FCIqIz5y9asmkr6zllpSUXjh4+fOUWlivQaPQLgf57g04hhIgkoo6BEXa+pLTM2SMH1bS0r50MvhzzSkRUzNJuqY2xXmZqiqaePusN1QZrybd4o+23I9YZye+NJphcPXEsMTpq6MhRKx2c2v+lAd6Ul5UZefdW5J3Q8p8/2A5hG1ROt5knJimJS2y8DPIGnpDzJcN/t1NG8kdmzbjpZhtdPKDJgp6CwWD4uWzPy8pECBEIBAev/UpqGh29ibCI6ILVGxas3lBZXvYi4n7IIR8ZBQVz24XME76kpggKCjE3D9QaavDy8UPmUcOx43/VDzM8F3goK/0zg8HYvWYFM8KCnGy2vKG6sqq0KJ8tDAKRKCElzVaZnvxh0YYtxpMmm8y0PLnf+1zgoeUws7Rnqq2pjnl4/2nY7U/v3rAdEhWXGDdtxsz5i9SGaOMSW48AeQPOWnYzSErLrHd1HztlOr6BAdAhN04ff/k4AivPW7Vu3NQO95N9y0i/djJoi4evAIUiLik1a+HihGdPsz+nsZ7DJyBQX1dbV1sjJCyCEKqtrhJiWbWaucAJnUbj4xPgI5MpFEHPk2dJ/41N8PEJsD20vq7mR0kJWyWRRGKrqa4oryovV1BSJhAIQsIihuMm3L1w1nrpyvtXL2anf175z44+NQ2vh6LT6R8SE56Gh8Y9ecR8e4zJYPQYs7l2o02nkmA84k/gG4Snbxnpfq5OmanJzJpx083sXT1EJaCbAfQkH18lnA/0w8rDRo35a+OWTtxETFLyZeQj1SFativWEAiEzE8pae+Splv/z2sEmnr6gkLCLyMfTZ09h9rcHBV+19jElHn0XcJLo/ETEUJR4Xd0hxupa+tQqc3Z6Z91DI1KCvLWWE73uxyqNliL9YZKahrt6RfJSEkmkckMGp1AJiGEnoTeMBw7rqQw327dpndxsWGXz69xcu3Elwy4oyAn+9n9sMg7t0oK2fuWsPGIM/77vU5ewCW2ngjyBnzQqNRb50IuHPVnvoYjKSO7wdV9jOk0fAMDoKO+Fxftc7SnU2kIIVl5BacDAaQWf6+3h5Ss3Hpnt1MHvK8EBwoKCTfU181dsWb8DHPWc0RExRx9/AJcnSLvhP4oLlbW0LBbZ888mvv1i9MyO4RQ2fdSt6BT4pJS9ru9vB02DNTUzMnMtFm6ii1paL/PH9+ra+vsWr1k6MjRGSkfJGVll21yFBAUQggJCgvJ91fu3G1Bt6qrrYmPfBJ179YfN6g8478fpxh7JMgbcJCd8dnfxYl1qg90M4Aeikal+m7bgk1z5+Pnd/YP6srcnxlz50+ZbVNSmE+n0+X7KzGnTZ56EMU8x3iiycWo+ILcbAkpabZ/MgvXbFBUUa38+VNJVZ1IJiGEJltaTTSfVVJYIKeg2JXlJjNSPsxetEzPaGRe1tepVnNZN4X5kpo6c75dp+8MukNf26CSyyBv4KqW3QxSsnIbd3vwwkJ4AHRCsNde5stl63btZXvrsBPIfHzMpRdaQySTWhtckJCSZnulkUQmKyp39eWD9OQPjl4HKUJCg3T1WOvfJ8RNMrcgEAh0Kg3LVACOfhQXR9+/G3HzWlEe+waVAwaqTTSfNdVqrpxi//bc6rfrnaOetuQ5nU6Pibg/ydyCs7eFvIF7stLT/F2cmHsKI6ybYbenqLgEjlEB0GnR4Xcf3LiClSdbWs2YOx/HYJZscpTvr9Qdd66rrTG1tGk5uSny7q3Iu6ESUtJ8AvyOXge749GgPTi+QWVr650jnlnyvJ3rnSe9fNEdT4e8gRuwbobzgX7MRc6lZOXKvpfuOnQU38AA6LSs9LRAd2esrDZE2363F77xsE7X5CwhYRHmrw1WU2bbTJlt000PBe3xa4PK8LvVlRWs9cwNKifPssReQ2m/3rTeeeyTiPXOezkeAOQN3S49+b2fsxM2rx0hRCAQTCxmr92xe94YQ3wDA6DTaqoqPTevxyaziYpLuAYECVAoeAcF+oqy0pIXjx4+un39W0Y62yFZeYVJMy3NbBfID+jky6q9Zr3zirKfwqKi/ALsc4+7DvKGbtTU2HgpKODW2VPMrjM5xf6b3XwMRvNK3gpAJ9Dp9P1ODsX5uQghIpG4zcevX/cMEADAqrmpKSku9mn4rbinj7H5O0wc3KCy16x3/vTubVNLa+bH9OT3Xz+n6QwbrjJIMyczQ0VDs4PfGJbAOn0laFvah6TDLjvysr9iHwkEwoy581dt29WXd1EDvcPl4CNvXjzHyos2bMGWTACg+3Bzg8pes955VsanOctXYeWz/gf4KRTblWt2rVrsFhxy9fgxpwMBnfnuIIQgb+gOjQ0Nl4OPsHYz9FMcsNl9H+8MjwHQaa9ioq8eP4aVjSeazP97Hb7xgF4M26DywfXLrK+TY6T7yU+eNXu6zTxFlYEcf24vWO/807s32gZGWPlDYnxk2K1zT16QyGQ5BcU7588Y/Bdh50DewGFp79/6u+zI/5aFfcS6Gf7e5tzGK69sesf8H9ArlRYWHNq1jU6nI4T6KQ7Y6nWArbsVgK5jblAZ//QJ811yDB8/v7GJqamFzYhxE7ppg8oet975cofttTXVUWF3MlI/LLF3lJVXQAg9e3DPRFkZAAAgAElEQVRv6WZH7KpnD8JMLa1/rZ9NJGR+SsFWS2t5VTtB3sAxv+lm6K/k4OGjP3JU+2/Sa+b/gN6nqbHRc8v66opyhJAAheISEAQrlQHOamODSg0dPdNZViazZnf3bn89br1zhFB9Ta2F3eLoe2LpH97LyivU19Uy6HTh/1KZhro6BWUVhFBDfX1RTu5o06lYPdtV7f8WQd7AGZ/evfF32VGQk4197EQ3A+pd839A73PM3ZW5yGljQ4O9rSW+8YBeo6a66kXEg99uUMmUmZqcmZp83Neju4PpceudI4Rk5OXLSktex0Tb7/VCCD1/cG8iy1pP5vPsjvt60mk0QUHhWQv+unU+RFFJZey0GWxXtR/kDV3VUF9/5d/A0DMnsc5bhJD8AGUHj316IzrQzYDppvk/iENTgNo//wf0PveuXHhyNxQrWy5asnbnHnzjAb1AGxtUkvn4ho8ZZ2o5B5cNKltb7xyxLHnOa+udU2k0ZY1BF48F/L1tV/LbRNZF2PRGGAfeCEP/vWhpYjGb+cYl61XtDwPyhi5Jefv6sOuOwtxv2EcikTh9zrzV2507utIIpjvm/yCE2p4C1B3zf0Avk578/uQBb6w8RN9g1T8d+BEDQEv537KePwh/cie0tLCA7RC2QeVU67ktXwnkpp613jlCSE5Bcd6KtUfcnL9lpKsOGsJ2lHVqBmuZeVWHwoC8oZNadjMoKKk4eProDh/Z6XtyfP6PsYnp9+KitqcAdcf8H9CbVJT99HLY0NzUhBCSlJZx9j8KL+eCzmn/BpU9F/fXO0cIvY55VlNdJSUja710BUVIaIbtgvbckPWqDkUCeUNnJMW9PLJ3JzNTJpFIsxb+tXTztq5vsMbZ+T80KjXva2bbU4A4Pv8H9CY0Gu3gDocfxcUIISKZtOPQEel+8n+8CgBWdDo97X1SVPjtqHthjfW/36By3HSz3rHkKPfXO0cIDR8zvq6+VkRUrEM37NxVCPKGjqqrrQk5uC/i5jVmsqyiobnF02ew7tCu35zj83+IJBIiENqeAtTF+T8IoaS42MKc7FkLF3f9OwB4zdnD+5PiXmLllQ5OekbG+MYDehZsg8qHN65iq4uyUlJVn2A2c6q1rZyCIi6x9SZEMqkTv/47dxWCvKFDkl6+OLJ3V2lRIfaRSCbNWbrqrw1burLYOCuOz/8hEAjqWtptTwHq4vwfBoMh069ffOQjjnwHAE9JiI68dTYEK4+ePNVqScc6M0GfhW1Q+fDm5ZbjEcIiosaTTTu6QSXgKZA3tEttTfXpQz6s3QwIITqVdiPk+I2Q45x6Csfn/yCEODUFqLX5PwQCgVNpE+ApBTnZB3c4Yg1+wEA1x30H4ac8+KPM1OSHN68+ux9eX1fLWt+VDSoBr4G84c/exsYc2bvre3ER9pHj3QysOD7/B3FoClAb839A79NQV+exaV1dbQ1CiCIk5BIQhI2LAfBbZaUlT8PvPAq9zpxcxoRtUGk+byFsftZrQN7QlprqqjN+vg9vXGXWDNQc7ODu23IODAdxfP4P4sQUoDbm/4BehsFg+O92yv36BSFEIBC2euxXVh+Ed1CAFzU3NSVGP30aFvr6ZQzbBpUCFMqIiSYc2aAS8BrIG1r1OuZZoLsz9iY5+q+bYfFGB56dhIbL/B+EUHryx6L8nJqqShEx8e54OuCyW2dDXkQ8wMpzV6weN90M33gAD8I2qHx063pVeTnbIY5vUAl4DaGGSi+oZ/z5RE4w11V/kPKVO8/qipbdDKqaQxw8fTW0dXGMCvCgntKk2y/5dcLOv5dgfzvqjxzlfeJcN+0eBHDRxRZbXVkR+zji/rVLWZ8/sR36tUHlnPldX90I8CxhMqE/hQA/Edi9iokOdHP5WfKrm4FEJtssXcnL3QwAcEr5j+++2x2wpEFKVm67rz8kDQC1uUElv4DAyEmTTS1sjMZPJLWYvw16Jfih8P9qqirP+O9n7WZQG6zl4OnLXGQJgF6MRqV6b91Y9r0UIUQik3f5BUrJyuEdFMBZ7tcvT8NuP7l9s6LsJ9shbIPKyRazYVvUvgbyhl8Sn0UFuruUlf5aAQnrZlhiv5X7W6oAgIvjvp6pSb92I1y7a4+2Qc9e7hd0RRsbVErJyo2fbjbV2rbTmzqCng5+KaKKsp9BXntiH/3/as2D9YY5ePrAO+Sg74i+H3bvygWsbDJr9sx5dvjGA3DB3KDy5eOIxoYG1kP4blAJeEpf/98f++jhMc/dleVl2Ed+AYFF6zfbLFsFA3Wg78jO+By499e696qaQ+z3eOEbD+C+P25QOc3GVlxSCpfYAK/pu3lD+c8fwZ57Yp9EMGuG6Bs4ePq0Z9FlAHqNmuoqz83rG+rrEUIiYuIuAUFd354N9BRtbVApJj5+upmZ7UKYRwbY9NG8IfbRw6OersyZxwIUit26TdDNAPoaBoNx2MWpKC8HIUQkErf5+Cm02FQd9D5tbFBJIpH0RxqbzbUbNXkKTCIDv9Xn8obynz+OubvGPX3MrNEaNnyLxz4lVXUcowIAF1f+Pcr8t7Bw7cYREybhGg7ghhshx1vboHKK1Zwps20kZWRxCQz0FH0rb4h99DDQw7W6AroZAEDv4uOu/BuIlQ3HjF2wZiO+8YDuhg3LnvHfz1opIiY+0WzWFOs5g3WH4hQX6GH6St5Q/uP7UXfX+KgnzBptAyMHT58/7gQBQK9UWljgu30TjUZDCMkp9nfaHwDZc683bNQYZplIJA41HjV5ls3YaTPgjRbQIX0ib4h99DDQ3aW6sgL7SBEUXLjWfs7yv4lEIr6BAYCLpsZGT4cN2Ps9/AICLv7HYOmevkBEVAwhJCuvOGmmhfl8u36KA/COCPRIvTxvKPteGujukhj9lFmjY2jk4OGrqDIQv6AAwFmQ557M1GSsvN7VXUMH9jjtQwZqajY3NZV9L5WVk4d1xEEn9OZGE/vo4RE355qqSuwjdDMAgBB6cOPK49s3sPLM+YumWc3FNx7AZY5eB3eu/OvOhTMCFIraEB3DMWMXrd+Md1CgJ+mdv0FLCwtcVi/xdtzITBp0h484GnrfduUaSBpAX5ae8uH4PnesPFhv2GonF3zjAdwnJinpdeq8rLxCY0ND2vu3/BQK3hGBHqa3/RJlMBgPb1xdZ2WWFPcSqxESFrHf4+V79grs7gr6uOrKCh/Hzc1NTQghUQnJHYcC+Pj58Q4K4EBCSnrX4WN8fPzS/eRvnw25e+EsnU7HOyjQY/SqcYqSwvwje3a+i49j1hiOHb9pr7ecgiKOUQHAC+h0uu/2LSUFeQghEonktP8wvBbXlw3WHbpm126dYcMZDEagu2vMoweb9niqDNLEOy7QA/SSvIHBYETcvHbqgHd9XS1WIywiusJxx4y58wkEAr6xAcALzgccSnr5Aisv3fyP4Zhx+MYDcGduuxArHLxwLSrszq5ViyeYzVy66R+KkBC+gQEe1xvGKUoK8natWhzo5sxMGoaPmxB056GZ7QJIGgBACCVGP71x+jhWHmUyZc7yv/GNB/AUAoFgOtv66K371VWV621mvo2NwTsiwNN6dn8D1s1w8oBXQ92vJdaxbgYz2wX4BgYA7yjM+XZwpyO2a1F/FVXHfQchnwYtSUrL/ON96OOrhEA3lwEDB27c7SndTx7voAAv6sH9DcX5uTtX/hXo5sxMGkZMmBR8JwKSBgCYGuvrPLasq62pRghRhIRcAoKERUTxDgrwLv2Ro46G3tPQ0bO3tYT3JcFv9ci84dekCeuZH18lYDUiomL2e7zcgkJk5CFBBuD/BXq45nzJwMoO7r4qGvDiG/gDAQpl0frN3qcuxETc3750IbP9AIDpeeMURXk5h113Jr9JZNaMnGBivwe61ABgd+f86aiwO1jZZtmq8TPM8Y0H9CADNQcfvHid+b7kss3/CAjC+5IAoZ7V30Cn0x/euLreZhYzaRARE7ff47U36BQkDQCwSfuQdPq/nQ+1hg1fvmUbvvGAHufX+5Kh96qrKtdZz2TOx/mtyvKypsZGrsWGOzqd/uxBON5R4KPH5A2FuTk7li8KdHNurP/1NoPxRJN/7zyEtxkAaKn85w8vh43U5maEkKSMrLNfIAl2IgCdIikj+4/3oXW79gS6uXg7biz/+eO3p9nbWsRE3OdybN2tsrzMz3nb7XMhLQ+1nUX1bj0gb6BTqTdCjq+3Nkt5+wqrkZCSdvQ6uOfYKSm5fvjGBgAPolGp+7bal5WWIIRIZPLOQ4HwLwV00YgJk/4Ne6SiPmiDtXnn3pcM8tobfvlCd8TWTY+Le/p4reX0Ny+ef8tIb3k09knEGNNpXbl/z8XreUNOZsbWxbZn/Pcze8DGTTcLvhthOtsa38AA4FmnDnozk+zV2110h4/ANx7QO2DvS3qePPf84b0dy+2Y6+WweRsb87OkOCku9t6VC8x3Kl/FRCe/ScxI/fA65hlW8z4h7va5kA+J8djC5wih1zHPyr6Xpqd8SE16w7zVnfOn096/Zd685VXxUU+qK8o/f3wXefdWQU52a4/rhJL8PNcjwWOnTG95qKLsp7CoKL+AQKdv3qPxbtclnUoNPRdy8dhhZvuQkJJe7+o+buqMjt6qsrxMUEi4N/0/7n1fEeCU5w/v3b14DitPMrewsFuMbzygl1EbrHXw4vXXz6MFhYR/e0Kw915RMQkZRQUCA5084O0WFDJs1JjCb9kNtXXl30sLc74hhC4FBSREPzW1sAq7dO7G6ePuwaeJROIJX8/+KgOL8vNMZlnqGBr5O2/Py84aM2Wav8sO83kLrZas+O1V/i5OqoOHyCkqiopLnvDxcPQ+aGxiyvY4Vmnv3374byIeE5nMN3fFarZK66UrEULR4Xdbfo1P7942tfz/v13Tk99//ZymM2y4yiDNnMyMXj9riUfzhpwvGX6u27+kJDNrxk032+jiISYp2Ym72dtaLLF3nDLbhnMB4qz3fUWAI3K+ZBzevRMrD9QcvNnNG994QK9EJBKNTUzbOEHfeNRyh+0Iof3bt8Q+ejBs1BirJStev4geMX7y7MXLvhcXXTsZfDnmlYiomKXdUhtjvczUFE09fTI/H5FEOh72CCGUlZ72POLepeeJwiKiakO0455EtHYVkUTUMTBasmkrQkhSWubskYPGJqasj2OLTW2wlrwS+x6HHV0JLSvj05zlq7DyWf8D/BSK7co1u1YtdgsOuXr8mNOBgA7drcfhubyhZTeDpLTMelf333YWcVCQ114lVXWu/XHG5ceBvqC+rtbb0R57cVhQSHjnoUCYOAdwoaGlixUkpGXKf3xnO5r3NZPBYOxeswL7yGAwCnKyNfX0EUIGo39tm5L9+bP8AGVsjTLDMeMMx4xLevmitasMx47HKrWGGZ4LPESjUtt4C7i6sqq0KJ+tkkAkSkhJt/Or+/TujbaBEVb+kBgfGXbr3JMXJDJZTkHxzvkzBv8F04vxVt7wLSPdz9UpM/V/uhnsXT1EJTrTzfBbb2NjBg7SzPmaWZiTrWdkjO3/hg2G1dfVvI5RGjFhEkLofUJcdnqa2hBtbYPh2F7Dr2OeqWtpfy8pojY16xgaYbfKy8ocrD9Ua9hw7OYtr4qPeqJraFSQ+y0/O1trmEF/FdXfPo7jXxHoaxgMhr/z9rysTIQQgUDY6n1ASVUd76BAH0UgtfnmHIFAoQh6njxLIv46jY/v15CroPCvsQ8SH/lnSTFWbm5qqq4ob+Mq5pLBdBqNj0+ASCK18fD6upofJSVslW1fwubZg3tLNzv+Vw4ztbT+laYQCZmfUuzW2bf/Vj0Ur+QNNCr11rmQC0f9sZljCCFJGdmNuz1GT57K2Qfx8thb+wfe/vgVsZ3T14bf+qDrp4Jjn0Rg5QVrNnR3/xwAHUUgkrD1ztW1tKnU5uz0zzqGRiUFeWssp/tdDlUbrMV6sqaufkN9XUbyR009/dCzJxOiI92CQlq76l3CS6PxExFCUeF3dIcbYYMOzMexUVLTUFLT6PRXUV9Xy6DTmYu1N9TVKSirIIQa6uuLcnJHm/76hVVbUx0Vdicj9cMSe0dZeYVOP4438UTekJ3x2d/FKfNTCrNm3HQz+92eouISnbhbWWlJRdlPtSHarZ3As2NvnR54a/kVsR7tg8Nvfc37hLiLRw9j5WGjxtit24RvPAC0NNp0WsjBfSlvX3mfumC/28vbYcNATc2czEybpavYkgaEkKKyyjoXNzf71aLiErU11S4BQeKSUq1dlfv1i9MyO4RQ2fdSt6BTLR/Hwa/i+YN7E80tmB/N59kd9/Wk02iCgsKzFvx163yIopLK2Gkz6mtqLewWR98TS//wHvIGDmvZzSAlK7dxt8cokykduk9pYUHKm9cf3ySmvHlVU1053WZeG3kDz469dXrgrY2vqG8Ov/Up34uLfLdtptFoCCE5BcUdB46QOtLpCgBHnI98iRVOPYhiVq52cmGWZ86zm2Y1F2uoky2tJprPKikskFNQJPPxYScE337IekNz24WmFtZVFeXScv2IRGJrVyGEFq7ZoKiiWvnzp5KqOpFMavm4rtiw24P1Y/LbxBlz5zM/6o0wDrwRhv77A8/EYjZWkJGXLysteR0Tbb/Xq4sB8CA884asz5/8XJyyPn9i1nSom6GstOTTu6R3CbGpSW+rK8o1dfW0DUfMmm+npqVDJLY1usazY2+dHnhr4ytqbfgtKS62MCd71kJ4MbNna25q8nJYX1lehhDiFxBw9g/q3JwjALiAj5+f+dueRCYrKrN3r7IRoFDY/lhv7SoJKemWf1+xPo4jvmWkqw4awlbJ2iXMWqbSaMoagy4eC/h72y6ORoE/fPKGpsbGGyH/Xj0RRKNSsRopuX72uz2NJ01u+8Li/NzUt28/vX/z9uULanOztuFwnWFGZnMXqGvrdnQiDRteGHvr4sDbb/12+I3BYMj06xcf+YizzwLcF+y9NyP5I1Ze77x3kK4evvEAwGVLNjnK91fizrMERYRntHtnAzkFxXkr1h5xc+7WkHCBQ97w+eM7f5cd2IvfCCECgTBj7vxV23a1topIcX7uu/i41HevP75KoNPo2obDDUaNs1y0lLMv9/WOsbeWWht+w6Z7gB4tKuxOxM1rWNnMdsE0m3n4xgMA95nbLuTas/opDmjnma9jntVUV0nJyFovXdGtIeGCUEOlF9QzuPMwc11125Vrbp09xRxz6qc4YJPbPoPR//MeH41Gy8/+io1BfEhMEBYR1TY01DEYYTh2XPv/t3VCc1MTjUajCAoihGhUastRNDaNDQ2sY2+/vWrBeKPdR/5tOfbG9rhuxWAw0H8daAwGAysU5eXcOnOKbegOdJS5rvqDlK+4PDrr8yfHv2wbGxoQQmpDtA9dvCFAoeASCehBcGyxfQqdSqurrxURFcM7EA4TJhP6Uwjc7m+4EXIcKxAIhAlmswyMx2JJA51KzUpPS016m/r+zfv4OBExcYPRY4wnmP69zZlrL6P29LG31rQ2/AZ6rurKCo/N67GkQVRcwjUgCJIGAHgHkUzqfUkDE7fzBgEKpbGhoV//AWNMpz24fiU/K7OyouxT0uvUd0lSsnI6hsMnTJvJ2YWe8MXNsbcOSU/+WJSfU1NVKSImjncsoGPodPqBHVtLCvIQQkQicbuvfz+ebGMAgF6J23nDog1bUpNefy8svH3+NEIoK/3zUOMx5vP/2rb/sJCwCJeD4QJujr11yCRzi0kss5BBD3Lp2OE3L55j5SWbtg4fNwHfeAAAfQq399GurapqaqgXl5LUHT6iX38lEpk8cuLkERMm9cqkAbQmOvxu2vu32IsXoEMSn0dfOxmMlY0nTbZduRbfeAAm50tG5N1bzEnXAPC4GyHHsT7LTuB2fwNzWW8Mg8FgrvgE+o74qMexTyIUlVUmmlsMHTl6sJ4+7MDUHoW5OYd2bKXT6QghReWB//j4wQsrPOJHSbGf87ZjnnvGTp02fOxE3eEjet8qgaA3ufJv4NnDB3QMR4ybZqY73Ehl0OD2rxfH7fkU3HkQ6EEkZWT1RxhbLlrC3B6sB4EmDVriFxAYpKM3aablVKu5/AICeIfzP6DFAjYEAmGAqrrR+IlWi5f/MdnF5lNwNW8AAOPtsOFLaspkS6tJ5hYcX+qKm7g5q83PeVvk3VtY2dHroOlsa+48F7TH29gYzy3rRplMMbW0GWo8GtZHATzOZoSu6mDtyZZW46bOEJeUaudVkDcA3JQU5ssp9O8FfexcyxvCLp3/d58bVp69eNkaJ1cuPBS0X3VFOZFMZm6TCACPK87PlR+g3NGr8Fm/AQDUkWXXAELo88d3pw56Y2WtoYYrt+7ANx7QUq+ZOg76iE4kDUzcnk8BAOiQ8p8/vBw2Yq8PS0rL7PILbGMNU9AVNVWV8Jo26AvodPqzB+GdvhzyBoCP5qam+Kgn969fRgglvXyRFPcS74h4EZ1K9XHchG2+SiSTdvoFSveTxzuoXmvLAus3sc/xjgIAzqgsL/Nz3nb7XEjLQ0kvX3TlzjBOAfBB5uMzGjdx0aRR/ZUH0ul0JXVVvCPiRSH++5PfJGLlVY47dYePxDceAECPEPf0ceBeZwKBQEC/eY0s9knEeue9nb455A0AHwQCgY+fX8dweO7XTMtFS/AOhxfFRz25c/40Vp4wY6bV4uX4xtPXZKWnpX14JyIqpj9ylKS0DLM+81NKzpcvqoMHk0jk5uYmDW1dHIME4LdK8vNcjwRHh99tamxkO1RR9lNYVLQrM4RhnALgSUhYpKEBltj7jfxvWYd2/oMtqamkqr7JzRvviPqW66eC3Tb8XV9T8/lD0kabmV/TUrH6cwGHDjhtLS7IPRtw0HPL+ogbV1mvgtE3wCOsl67UNjD67aGnd2+bWlqjLjRX6G8AuPmQGD9i4uToe3ca7JYiBoMiBEtG/tJQV+e5eX1dbQ1CSFBI2CUgCBZi56ay0pILRw8fvnJLXUsHIUSj0S8E+u8NOlVaVHgj5N8T4U8UVQYihDYvsCIQ/+dPLxh9A7wvK+PTnOWrUBeaK/Q3ABzkZWX6bttMERIcP80s50vGo9DrkDQwMRiMQy7bcr9+QQgRCAQHr/09emmsnuhLaoqgoBCWNCCEtIYafElNRgh9+5IuJCyCJQ0IIbXBWuh/1yBhHX0zGj8R5hsDXvPp3RtmP0Snmyv0NwAcKKlpbHHfh+1JEXw3QlBIGO+IeMjN0ydePo7AyrYr146bOgPfePogPgGB+rrautoarJuntrpKSEQUIUShCNbV1jTU1WFpbnVFhZRcv5aXw+gb4FnPHtxj2yWqE80V+hsAPpgbWUHSwOrjq4RzgYew8lDj0YvtHfCNp2/S1NMXFBJ+GfkIIURtbo4Kv2tsYooQ0tQbKi4lHXr2ZG1NdVLcy6T42JZLnmKjb6lvXzfU18P2mICn1NfVMuh01lVNO9dcIW8AgFf8KC72+WcTnUpDCMnKK+w4eKT9O9QBDhIRFXP08TtzyNdpud0ay+ni0lJ26+wRQhRBwb1HTya/ebVlvvXz+3eNxk8ksrzfAKNvgMc9f3BvorkFVu5Kc4X9KQDoPA7uT0GjUp2WL/r07g1CiEQm7z97uSduENqb0Km0gtxsCSlp1jWkLx47PH6aucogTYSQ0zK7YaPGLFy7kXm0sb4O60irr6uFjjTAaw7s3Lptnx/zYyeaK+xPAQAPCfZ2w5IGhNB6ZzdIGnBHJJNavpH68VXCh8R4qyUrstPTvqR+3ODqxnoURt8Az/qWka46aAhrTaebK+QNAOAv+t7dB9cvY2UTi9lmtgvwjQe0xv3fM7GPH37LSJeQkj568x5zbgUAPE5QRHgGh36wwDgFAJ3HkXGK7IzPjovmNtTXI4TUBmsdvHiDIijIiegAAICTsHEKeC8SADzVVFV6bl6PJQ0iYuIuAUGQNAAAeBnkDQDghk6nH9ixtSgvByFEJBK3+/rLD1DGOygAAGgL5A0A4ObKv4GvY55h5UXrNxuNn4hrOAAA8GeQNwCAj6S4l1ePH8PKxhNN5q9ej288AADQHpA3AICD0sIC3+2baTQaQqif4oCtXgeIRPjHCADoAeBHFQDc1tTY6OmwobqiHCHELyDgfPgY68pCAADAyyBvAIDbgjx2Z6YmY+UNuz00tHXxjQcAANoP8gYAuOr+tUuP79zEyhZ2i6fOnoNvPAAA0CGQNwDAPenJ70/4emLlIfoGf29zxjceAADoKMgbAOCSirKfXg4bmpuaEEISUtK7/I6S+fjwDgoAADoG8gYAuIFGox3csfVHcTFCiEQi/ePjLyMvj3dQAADQYZA3AMAN5wIOJsXFYuXlDtsNx4zFNx4AAOgcyBsA6HYJ0ZGhZ05i5dGTp1ovXYlvPAAA0GmQNwDQvQpysg/t/IfBYCCEBgxUc9x3kEAg4B0UAAB0EuQNAHSjhro6z83ra2uqEUIUISGXgCAhYRG8gwIAgM6DvAGAbuS/2yknMwMhRCAQtnrsV1YfhHdEAADQJZA3ANBdbp099SLiAVaes2zVuOlm+MYDAABdB3kDAN0i7f3bM4cPYGX9kaOWbf4H33gAAIAjIG8AgPPKf3z3cthIo1IRQlKyctt9/YlkMt5BAQAAB0DeAACH0ajUfY72Zd9LEUIkMnnnoUApWTm8gwIAAM6AvAEADjux3zPl7WusvHaHq46hEb7xAAAAB0HeAAAnPXsQHn75AlY2mWk5c8Ff+MYDAACcBXkDABzzLSM9YM8urKyqOcR+rze+8QAAAMdB3gAAZ9RUV3luWddYX4cQEhETdwkIoggK4h0UAABwGOQNAHAAg8E47OJUmJuDECIQCA6evgpKKngHBQAAnAd5AwAccPX4sbinj7Gy3Tr70ZOn4hsPAAB0E8gbAOiq9wlxl4OPYGWD0WMWrNmIbzwAANB9IG8AoEtKiwp9tm2i0WgIITnF/k77j5BIJLyDAgCA7gJ5AwBd4uWwvqh/bfUAAAw+SURBVKq8HCHELyDg4n9MTFIS74gAAKAbQd4AQJfw8wtghfWu7ho6egih0qJCjty5srysqbGRI7fiETVVldTmZryjAAB0CeQNAHTJ+l17x02boW9k/L2wwG3DqgXjjTy3rOfIne1tLWIi7nPkVjxiywLrN7HP8Y4CANAlsNcOAF3ST0nJeOKUqHu3LgcHMhgMhBCDQff5Z5OCkoqCsrLCACV5JRVpuX5EIudz9CCvvUqq6hZ2izl+Z154HACAN0HeAECXCAmLmM62Np1t/TUt9dyRQ29ePDeeMNlg7ITivNzUN68j74QW5edVlZfJ91dSUFKWV1JSGKAir6yiMGCA/ABlfgGBdj7lbWzMwEGaOV8zC3Oy9YyMVQZpvoqJTn6TWF9X8zpGacSESdhp7xPistPT1IZoaxsM5+PnRwi9jnmmrqX9vaSI2tSsY2j0NjYmLytzsP5QrWHDmTdveVV81BNdQ6OC3G/52dlawwz6q6j+9nFdkZWelvbhnYiomP7IUZLSMsz6zE8pOV++qA4eTCKRm5ubNLR1u/4sAAAHQd4AAGeoa+m4B59OefuaTqPpjxzFeqipsbEoL6c4P78oL6cw71tS/Iui3NySwnxxKSn5/sqKSsr9lJQVlJQVlJU1huiQfrfjdrD3XlExCRlFBQIDnTzg7RYUUvgtu6G2rvx7aWHON+ycS0EBCdFPTS2swi6du3H6uHvwaSKReMLXs7/KwKL8PJNZlo9Dr+dlZ42ZMs3fZYf5vIVWS1a0dpW/i5Pq4CFyioqi4pInfDwcvQ8W5eWwPY4p7f3bD68S2CrJZL65K1a39r26fir4/tVLFnZL8rMyT/h4uP97Wl1LByF0LuBQXOSjCWYzn0eEF+XmDh05auMeT7Zr05Pff/2cpjNsuMogzZzMDBUNzXb8zwEAcAzkDQBwku7wES0r+QUEVDQ02X7D0en0HyXFxXm5xfm5hbm58VGPi/PzvE6cExET/+2d9Y1HLXfYjhDav31L7KMHG/d4vn4RPWL85NmLlyGEvhcXXTsZfDnmlYiomKXdUhtjvczUFE09fTI/H5FEOh72KCs9bavdnEvPE4VFRNWGaMc9iWjjKiKJqGNgtGTTVoSQpLTM2SMHg28/ZH0cK7XBWvItFsckEAitfYvKSksuHD18+MotLFeg0egXAv33Bp0qLSq8EfLvifAniioDEUKbF1gRWgzunPU/wE+h2K5cs2vVYrfgkKvHjzkdCGjtQQCA7gB5AwD4IBKJcgqKcgqKbJ0TrdHQ+tVjLyEtU/7jO9vRvK+ZDAZj95oV2EcGg1GQk62pp48QMhg9DiGU/fmz/ABlYRFRhJDhmHGGY8a1fZXh2PFYpdYww3OBh2hUamuBVVdWlRbls1USiEQJKenfnv8lNUVQUAhLGhBCWkMNXj5+iBD69iVdSFgESxoQQmqDtdD/Jh8fEuMjw26de/KCRCbLKSjeOX/GYOx4hNC3jPQfJcWGo8cRybByBgDdDvIGAHoGAqnNNysJBApF0PPkWdJ/f6Pz8f16eUJQWBghROIj/ywpxmqam5qqK8ql5Pq1cVVDXR1WoNNofHwCxNYXs6qvq/lRUsJW2cb5fAIC9XW1dbU1QsIiCKHa6iohEVGEEIUiWFdb01BXRxESQghVV1RIyfVjvfDZgzBTS+tf4zhEQuanFLt19lnpaR8S4koK8x+FXnM+HNTWtwgAwAkwDxOAnopAJNXWVGNldS1tKrU5O/2zgKBQRdnP+eOMvn3NYD1ZU1e/ob4uI/kjQij07En3zWvbvupdwkusEBV+R3e4EYFAYH0cKyU1jQkzZrL9N27qjNbC1tTTFxQSfhn5CCFEbW6OCr9rbGKKENLUGyouJR169mRtTXVS3Muk+Fi2sY6GujphMTGEUEN9fVFOrtYwQ4SQqLiE9dKVa3bszv+W3anvIgCgY6C/AYCearTptJCD+1LevvI+dUFcUsp+t5e3w4aBmpo5mZk2S1epDdZiPVlRWWWdi5ub/WpRcYnammqXgCCEUBtX5X794rTMDiFU9r3ULegU2+O6EraIqJijj1+Aq1PkndAfxcXKGhp26+wRQhRBwb1HT4b4+Ty7H649zNBo/ES2yavm8+yO+3rSaTRBQeFZC/66dT5EUUll7LQZCKGqinJtA8OuRAUAaCdCDZVeUM/AOwwAeiRzXfUHKV9xDKC5qYlGo1EEBbGPNCq1pLBATkGRzMf32/MbGxqqKsrZ1pNoedWC8Ua7j/yrqKJa+fOnkqo6870Btsd1BZ1KK8jNlpCSFpX4/5W5Lx47PH6aucogTYSQ0zK7YaPGLFz7P5uEYStkYC9dMhgM5tuX969dMrWwxgY4AADdRJhM6E8hQH8DAD0YHz8/a4JAIpMVldmnNrASoFBk5RXYKlu7SkJKmu3dRrbHdQWRTFJS02Cr/Pgq4UNivNWSFdnpaV9SP25wdWM7gXWaBrP8Lj5ujOk0ipBQTVVla7NRAACcAnkDAIDdkk2O8v2VuP9c93/PxD5++C0jXUJK+ujNe8y5FW2Ivnf31rkQCWnpxvp6+z2ekDcA0N1gnAKAzsN9nAIAALgGG6eA+RQAAAAAaC/IGwAAAADQXpA3ANB5i9ZvwjsEAADgKni/AQAAAAB/Bu83AAAAAKBjIG8AAAAAQHtB3gAAAACA9oK8AQAAAADtBXkDAAAAANoL8gYAAAAAtBfkDQAAAABoL8gbAAAAANBekDcAAAAAoL0gbwAAAABAe+GQN0Tfu9vY0NDa0cb6usb6ukeh17kZEgBd1HarhvYMeErL5lr2vTQ9+X1TYyOC5gr+hNt5Q3VlxbWTwQIUSmsn+PyzKezyhajwO0V5OdwMDIBO+2OrhvYMeEfL5hp26fxay+nH93k21tchaK7gT7idN8Q/faxraNTGCenJHwfrDR0+fkJU+F2uRQVAV/yxVUN7BryDrbkyGIxLwUecDwf5Xb4pKiGJoLmCP+F23pD4LErbgP0nbF5WZuiZU+GXL+R8yagsL9PQ0dUfYRz/9DGXYwOgc1q26qK8nLsXz927cuFnSTFCCNoz4B2szTUvK/PBtUvVFeVl30tLCvKwSmiuoG3czhtS371RHTKEteZR6PW9G1YzGPTvRQV7N65WUtMQEhbprzwwNyuTRqVyOTwAOoGtVcdE3He3X9vYWJ/5KXX7MrumxkZoz4B3sDbXgpxvLyMf9VMckPMlA3u5ASEEzRW0jczNhzU2NFSVl0vKyDJrCnO+HfdxP3IjbMBANYRQevJH+f4DEEKiEpIkMl/+tywVDU1uRghAR7G16pzMjGOee0IePBURE6c2N1saDCkpyFNS04D2DHgBW3MdZTLlTcwzZXWNZQ7bmOfAj1/QNq7mDWQ+Pj5+/saGemZN5N1bQ0eOwpIGhBCNRtPUH4qVhUVEqisruRkeAJ3A1qqf3r1Fp1J3r12JEGLQ6QghYVExBO0Z8IaWP4TTUz7aLFnJdho0V9AGruYNJBJJSU2jtLCgn+IArCb7y2cZhf5Yua625uvnT2t3uCCE6HR6dWWFrIICN8MDoBPYWnVGavJi+63TbeYyTxAQFIL2DHgEW3NtbGjI/vJZU1+f9RxorqBt3H6/YaCmZlFeLvMjmUSuqijDyiEH99Fp1IGaQxBChbnfRMUlmOkFALyMtVWTyaTKsh8CgkJ8fAK7/l526/wZBO0Z8BLW5pr1OVVIUFhReSDrCdBcQdu4nTeMnjQ1+U0i86PtyrUpb15vXmC1bcl8Go2uoqFJ5uNDCH1699Zo/CQuxwZA57C26jnL14ZfvrBjxaLVllNVNDTmrVyDoD0DXsLaXNOTP2rq6REIBNYToLmCtnF1nAIhNHLS5POBfgwGA2upmnr6FyJfVlaWS0hJs7bdDwlx02zmcTk2ADqHtVUbjB5zOeZVaVGhnIIilgQjaM+Al7A2V6vFy60WL2c7AZoraBtp1+491VycbkMikQSFhWX6yVMEBbEaApEoKCTElvAW5eeZzLRkqwSAN7G1aiKJJCouQSSRmCdAewa8o+UPYTbQXEFr+IkEMTKBUEOlF9Qz8A4GAAAAADxNmEzoTyHAfpgAAAAAaC/IGwAAAADQXpA3AAAAAKC9IG8AAAAAQHtB3gAAAACA9oK8AQAAAADtBXkDAAAAANoL8gYAAAAAtBfkDQAAAABoL8gbAAAAANBe/wces+psxDHsLgAAAABJRU5ErkJggg==" alt="chapra_nonlinearization.png">
Source: Chapra</p>

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<p><strong>Example: Fit the data to the power model (Chapra, 14.6)</strong><br>
Data:</p>
<table>
<thead><tr>
<th>$i$</th>
<th>$x_i$</th>
<th>$y_i$</th>
</tr>
</thead>
<tbody>
<tr>
<td>1</td>
<td>10</td>
<td>25</td>
</tr>
<tr>
<td>2</td>
<td>20</td>
<td>70</td>
</tr>
<tr>
<td>3</td>
<td>30</td>
<td>380</td>
</tr>
<tr>
<td>4</td>
<td>40</td>
<td>550</td>
</tr>
<tr>
<td>5</td>
<td>50</td>
<td>610</td>
</tr>
<tr>
<td>6</td>
<td>60</td>
<td>1220</td>
</tr>
<tr>
<td>7</td>
<td>70</td>
<td>830</td>
</tr>
<tr>
<td>8</td>
<td>80</td>
<td>1450</td>
</tr>
</tbody>
</table>
<p>Find the optimum $\alpha$ and $\beta$ for the best fit of $y=\alpha x^\beta$ for the given data.</p>

</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[55]:</div>
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    <div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">pandas</span> <span class="k">as</span> <span class="nn">pd</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">data1</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">({</span><span class="s1">&#39;i&#39;</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">9</span><span class="p">),</span><span class="s1">&#39;x&#39;</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">10</span><span class="p">,</span><span class="mi">90</span><span class="p">,</span><span class="mi">10</span><span class="p">),</span>
                      <span class="s1">&#39;y&#39;</span><span class="p">:[</span><span class="mi">25</span><span class="p">,</span><span class="mi">70</span><span class="p">,</span><span class="mi">380</span><span class="p">,</span><span class="mi">550</span><span class="p">,</span><span class="mi">610</span><span class="p">,</span><span class="mi">1220</span><span class="p">,</span><span class="mi">830</span><span class="p">,</span><span class="mi">1450</span><span class="p">]})</span>
<span class="n">data1</span><span class="o">.</span><span class="n">set_index</span><span class="p">(</span><span class="s1">&#39;i&#39;</span><span class="p">,</span> <span class="n">inplace</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
</pre></div>

    </div>
</div>
</div>

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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[56]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data1</span>
</pre></div>

    </div>
</div>
</div>

<div class="output_wrapper">
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<div class="output_area">

    <div class="prompt output_prompt">Out[56]:</div>


<div class="output_html rendered_html output_subarea output_execute_result">
<div>
<style scoped>
    .dataframe tbody tr th:only-of-type {
        vertical-align: middle;
    }

    .dataframe tbody tr th {
        vertical-align: top;
    }

    .dataframe thead th {
        text-align: right;
    }
</style>
<table border="1" class="dataframe">
  <thead>
    <tr style="text-align: right;">
      <th></th>
      <th>x</th>
      <th>y</th>
    </tr>
    <tr>
      <th>i</th>
      <th></th>
      <th></th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <th>1</th>
      <td>10</td>
      <td>25</td>
    </tr>
    <tr>
      <th>2</th>
      <td>20</td>
      <td>70</td>
    </tr>
    <tr>
      <th>3</th>
      <td>30</td>
      <td>380</td>
    </tr>
    <tr>
      <th>4</th>
      <td>40</td>
      <td>550</td>
    </tr>
    <tr>
      <th>5</th>
      <td>50</td>
      <td>610</td>
    </tr>
    <tr>
      <th>6</th>
      <td>60</td>
      <td>1220</td>
    </tr>
    <tr>
      <th>7</th>
      <td>70</td>
      <td>830</td>
    </tr>
    <tr>
      <th>8</th>
      <td>80</td>
      <td>1450</td>
    </tr>
  </tbody>
</table>
</div>
</div>

</div>

</div>
</div>

</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[57]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data1</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">data1</span><span class="o">.</span><span class="n">y</span><span class="p">,</span><span class="s2">&quot;o&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>

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<h2 id="Least-squares-proper-way:">Least-squares proper way:<a class="anchor-link" href="#Least-squares-proper-way:">&#182;</a></h2><p>We can convert it such that $$\log{y}=\log{\alpha} + \beta\log{x}$$</p>
<p>and as the least square fit for a linear model given as $y' = a_0 + a_1 x'$ is:</p>
$$a_1 = \frac{n\sum{x_i' y_i'} - \sum{x_i'}\sum{y_i'}}{n\sum{x_i'^2}-\left(\sum{x_i'}\right)^2}$$$$a_0 = \bar{y}' - a_1\bar{x}'$$<p>(For derivations, refer to <a href="https://emresururi.github.io/FIZ219/FIZ219_EST_UygulamaNotlari_05_En_kucuk_kareler.html">FIZ219 Lecture Notes #5</a>)</p>
<p>and since $x_i' = \log{x_i},\;y_i' = \log{y_i}$:</p>

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<div class="prompt input_prompt">In&nbsp;[58]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">n</span> <span class="o">=</span> <span class="n">data1</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">xp</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="n">data1</span><span class="o">.</span><span class="n">x</span><span class="p">)</span>
<span class="n">yp</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="n">data1</span><span class="o">.</span><span class="n">y</span><span class="p">)</span>

<span class="n">a1</span> <span class="o">=</span> <span class="p">(</span><span class="n">n</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">xp</span><span class="o">*</span><span class="n">yp</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">xp</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">yp</span><span class="p">))</span> <span class="o">/</span> <span class="p">(</span><span class="n">n</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">xp</span><span class="o">**</span><span class="mi">2</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">xp</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
<span class="n">a0</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">yp</span><span class="p">)</span> <span class="o">-</span> <span class="n">a1</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">xp</span><span class="p">)</span>

<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;a0: </span><span class="si">{:7.4f}</span><span class="se">\n</span><span class="s2">a1: </span><span class="si">{:7.4f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">a0</span><span class="p">,</span><span class="n">a1</span><span class="p">))</span>
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<pre>a0: -1.2941
a1:  1.9842
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<p>as $a_0 = \log{\alpha}\rightarrow \alpha = e^{a_0}$ and $a_1 x' = \beta\log{x}\rightarrow  \beta = a_1$</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">alpha</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="n">a0</span><span class="p">)</span>
<span class="n">beta</span> <span class="o">=</span> <span class="n">a1</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;alpha: </span><span class="si">{:7.4f}</span><span class="se">\n</span><span class="s2">beta:  </span><span class="si">{:7.4f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">alpha</span><span class="p">,</span><span class="n">beta</span><span class="p">))</span>
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<pre>alpha:  0.2741
beta:   1.9842
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">fun</span><span class="p">(</span><span class="n">alpha</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">alpha</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="n">beta</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">xx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">80</span><span class="p">,</span><span class="mi">100</span><span class="p">);</span>
<span class="n">yy</span> <span class="o">=</span> <span class="n">fun</span><span class="p">(</span><span class="n">alpha</span><span class="p">,</span><span class="n">beta</span><span class="p">,</span><span class="n">xx</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">data1</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">data1</span><span class="o">.</span><span class="n">y</span><span class="p">,</span><span class="s2">&quot;or&quot;</span><span class="p">,</span><span class="n">xx</span><span class="p">,</span><span class="n">yy</span><span class="p">,</span><span class="s2">&quot;-b&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<h2 id="Minimizing-the-error-function:">Minimizing the error function:<a class="anchor-link" href="#Minimizing-the-error-function:">&#182;</a></h2>
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<div class="prompt input_prompt">In&nbsp;[62]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">fun</span><span class="p">(</span><span class="n">alpha</span><span class="p">,</span> <span class="n">beta</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">alpha</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="n">beta</span>

<span class="n">x</span> <span class="o">=</span> <span class="n">data1</span><span class="o">.</span><span class="n">x</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">data1</span><span class="o">.</span><span class="n">y</span>
<span class="k">def</span> <span class="nf">err</span><span class="p">(</span><span class="n">params</span><span class="p">):</span>
    <span class="n">e</span> <span class="o">=</span> <span class="n">y</span> <span class="o">-</span> <span class="n">fun</span><span class="p">(</span><span class="n">params</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">params</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="n">x</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">e</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>

<span class="kn">from</span> <span class="nn">scipy.optimize</span> <span class="k">import</span> <span class="n">minimize</span>

<span class="n">res</span> <span class="o">=</span> <span class="n">minimize</span><span class="p">(</span><span class="n">err</span><span class="p">,[</span><span class="mf">0.274</span><span class="p">,</span><span class="mf">1.98</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="n">res</span><span class="p">)</span>
<span class="n">alpha2</span><span class="p">,</span><span class="n">beta2</span> <span class="o">=</span> <span class="n">res</span><span class="o">.</span><span class="n">x</span>
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<pre>      fun: 222604.8484396939
 hess_inv: array([[ 8.34770117e-09, -4.45042043e-09],
       [-4.45042043e-09,  7.67927578e-09]])
      jac: array([-0.00390625,  0.05664062])
  message: &#39;Desired error not necessarily achieved due to precision loss.&#39;
     nfev: 214
      nit: 33
     njev: 68
   status: 2
  success: False
        x: array([2.53844123, 1.4358492 ])
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">xx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">80</span><span class="p">,</span><span class="mi">100</span><span class="p">);</span>
<span class="n">yy2</span> <span class="o">=</span> <span class="n">fun</span><span class="p">(</span><span class="n">alpha2</span><span class="p">,</span><span class="n">beta2</span><span class="p">,</span><span class="n">xx</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">data1</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">data1</span><span class="o">.</span><span class="n">y</span><span class="p">,</span><span class="s2">&quot;or&quot;</span><span class="p">,</span><span class="n">xx</span><span class="p">,</span><span class="n">yy2</span><span class="p">,</span><span class="s2">&quot;-k&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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<h3 id="Which-one-is-better?">Which one is better?<a class="anchor-link" href="#Which-one-is-better?">&#182;</a></h3>
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<div class="prompt input_prompt">In&nbsp;[64]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">err_ls</span> <span class="o">=</span> <span class="n">err</span><span class="p">([</span><span class="n">alpha</span><span class="p">,</span><span class="n">beta</span><span class="p">])</span>
<span class="n">err_min</span> <span class="o">=</span> <span class="n">err</span><span class="p">([</span><span class="n">alpha2</span><span class="p">,</span><span class="n">beta2</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;Least-square sum of squares error: </span><span class="si">{:10.2f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">err_ls</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;   Minimizer sum of squares error: </span><span class="si">{:10.2f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">err_min</span><span class="p">))</span>
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<pre>Least-square sum of squares error:  345713.59
   Minimizer sum of squares error:  222604.85
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<p>Let's plot the two side by side:</p>

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<div class="prompt input_prompt">In&nbsp;[65]:</div>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">xx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">80</span><span class="p">,</span><span class="mi">100</span><span class="p">);</span>
<span class="n">yy_ls</span> <span class="o">=</span> <span class="n">fun</span><span class="p">(</span><span class="n">alpha</span><span class="p">,</span><span class="n">beta</span><span class="p">,</span><span class="n">xx</span><span class="p">)</span>
<span class="n">yy_min</span> <span class="o">=</span> <span class="n">fun</span><span class="p">(</span><span class="n">alpha2</span><span class="p">,</span><span class="n">beta2</span><span class="p">,</span><span class="n">xx</span><span class="p">)</span>
<span class="c1"># Blue for least-squares, Black for minimizer</span>
<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">data1</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">data1</span><span class="o">.</span><span class="n">y</span><span class="p">,</span><span class="s2">&quot;or&quot;</span><span class="p">,</span><span class="n">xx</span><span class="p">,</span><span class="n">yy_ls</span><span class="p">,</span><span class="s2">&quot;-b&quot;</span><span class="p">,</span><span class="n">xx</span><span class="p">,</span><span class="n">yy_min</span><span class="p">,</span><span class="s2">&quot;-k&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">([</span><span class="s2">&quot;data&quot;</span><span class="p">,</span><span class="s2">&quot;least-squares&quot;</span><span class="p">,</span><span class="s2">&quot;minimizer&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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<h2 id="Linear-side-of-things">Linear side of things<a class="anchor-link" href="#Linear-side-of-things">&#182;</a></h2><p>It is always safe to stay on the linear side of the things, whever possible. So, consider the following data:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">data_l</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="mf">1.</span>    <span class="p">,</span>  <span class="mf">4.9142</span><span class="p">],</span>
       <span class="p">[</span> <span class="mf">2.</span>    <span class="p">,</span>  <span class="mf">7.1201</span><span class="p">],</span>
       <span class="p">[</span> <span class="mf">3.</span>    <span class="p">,</span>  <span class="mf">8.8456</span><span class="p">],</span>
       <span class="p">[</span> <span class="mf">4.</span>    <span class="p">,</span> <span class="mf">10.8113</span><span class="p">],</span>
       <span class="p">[</span> <span class="mf">5.</span>    <span class="p">,</span> <span class="mf">13.2231</span><span class="p">]]))</span>
<span class="n">data_l</span>
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<pre>array([[ 1.    ,  4.9142],
       [ 2.    ,  7.1201],
       [ 3.    ,  8.8456],
       [ 4.    , 10.8113],
       [ 5.    , 13.2231]])</pre>
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<p>Let's fit it to a $f(x) = a + bx$ model:</p>

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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">x</span> <span class="o">=</span> <span class="n">data_l</span><span class="p">[:,</span><span class="mi">0</span><span class="p">]</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">data_l</span><span class="p">[:,</span><span class="mi">1</span><span class="p">]</span>

<span class="k">def</span> <span class="nf">fun</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">a</span><span class="o">+</span><span class="n">b</span><span class="o">*</span><span class="n">x</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">scipy.optimize</span> <span class="k">as</span> <span class="nn">opt</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Curve fitting</span>
<span class="n">res_cf</span> <span class="o">=</span> <span class="n">opt</span><span class="o">.</span><span class="n">curve_fit</span><span class="p">(</span><span class="n">fun</span><span class="p">,</span><span class="n">x</span><span class="p">,</span><span class="n">y</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">res_cf</span><span class="p">)</span>
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<pre>(array([2.89016, 2.0309 ]), array([[ 0.04399608, -0.01199893],
       [-0.01199893,  0.00399964]]))
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">err</span><span class="p">(</span><span class="n">ab</span><span class="p">):</span>
    <span class="k">return</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">((</span><span class="n">y</span> <span class="o">-</span> <span class="p">(</span><span class="n">ab</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">+</span><span class="n">ab</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">*</span><span class="n">x</span><span class="p">))</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Minimizer</span>
<span class="n">res_min</span> <span class="o">=</span> <span class="n">opt</span><span class="o">.</span><span class="n">minimize</span><span class="p">(</span><span class="n">err</span><span class="p">,[</span><span class="mf">0.1</span><span class="p">,</span><span class="mf">0.1</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="n">res_min</span><span class="p">)</span>
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<pre>      fun: 0.1199893120000094
 hess_inv: array([[ 0.55023779, -0.15006911],
       [-0.15006911,  0.05002009]])
      jac: array([-3.7252903e-09,  3.7252903e-09])
  message: &#39;Optimization terminated successfully.&#39;
     nfev: 21
      nit: 6
     njev: 7
   status: 0
  success: True
        x: array([2.89016008, 2.03089997])
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<div class=" highlight hl-ipython3"><pre><span></span><span class="c1"># Least-squares</span>
<span class="n">res_ls</span> <span class="o">=</span> <span class="n">opt</span><span class="o">.</span><span class="n">least_squares</span><span class="p">(</span><span class="n">err</span><span class="p">,[</span><span class="mf">0.1</span><span class="p">,</span><span class="mf">0.1</span><span class="p">],</span><span class="n">max_nfev</span><span class="o">=</span><span class="mi">500</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">res_ls</span><span class="p">)</span>
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<pre> active_mask: array([0., 0.])
        cost: 0.007198718649123573
         fun: array([0.11998932])
        grad: array([-1.50940918e-05,  2.60642795e-05])
         jac: array([[-0.0001258 ,  0.00021722]])
     message: &#39;`ftol` termination condition is satisfied.&#39;
        nfev: 357
        njev: 354
  optimality: 2.6064279515221427e-05
      status: 2
     success: True
           x: array([2.89005837, 2.03092968])
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">xx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">6</span><span class="p">,</span><span class="mi">100</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">y</span><span class="p">,</span><span class="s2">&quot;or&quot;</span><span class="p">,</span><span class="n">xx</span><span class="p">,</span><span class="n">res_ls</span><span class="o">.</span><span class="n">x</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">+</span><span class="n">res_ls</span><span class="o">.</span><span class="n">x</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">*</span> <span class="n">xx</span><span class="p">,</span><span class="s2">&quot;-b&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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AOwzFp6dHp8cSQfXx0vgLuLAzYsfwiT4geZ/Xn+FV8X62OJdRhV6EFBQaitrYVer4ednR30ej3q6uoQFBTU521pNG0wGIQ+P05KV79JZS1SWQdgmbUUVjQjPSMX1ZoOTBoZiIXJw+DmbG/x3xlfF+tjyjrkctk9d4SNKnQfHx/Exsbi4MGDmDt3Lg4ePIjY2FgebiG6i65uHfadKsaxKxXw9nDEb56Jx6ghnHpI5nffQt+8eTOysrKgVquxYsUKKJVKHDp0CG+++SY2bNiAv/zlL/Dw8EBaWlp/5CWyKTklGuzIyENDSxeSxoQgddqQuw7TIjIHmSAIfT/eYUY85CKdtUhlHYDpa2nv6sHnxwpw7scaBHq74PmUGEQNVpovYB/wdbE+VnXIhYju7UpeHT7LykdrRw+eeDgMcyaFw17BYVpkeSx0IjNpbtPisyP5uJJXj1B/N7z0dDzCAqVxRgbZBhY6kYkEQcD5nBp8fqwA2h4D5k8bgsfGhXKYFvU7FjqRCdTNndjxbR5ulDQgMsQTK1JiEOTDYVokDhY6kREMgoAT31fiq5NFgAx4dmYUpo8JhpyX7ZOIWOhEfVStaUd6hgqFFc0YGeGN5bOi4evpLHYsIhY60YPS6Q3IvFyGb87egqO9HCufiMXEkYEcpkVWg4VO9ABKa1qRnpGLsto2JEb74dmZUfDkMC2yMix0on+jR6fHP8/dQsbFMri72OP/PjUSY6P9xY5FdFcsdKJ7yC9vQnqGCrUNHZg8KggLkyPh6mQvdiyie2KhE/2LTq0O2/Zdx6FzJfD1dMIrCxMwIoKD58j6sdCJfubS4TPYc7UZLXJnjNPewvzJMfBjmZONYKETAWjr7MGnn59Ddq0BPvpuLKs+ieAuNZp2X4KjQgaPCRPFjkh0Xyx0GtAEQcB3efXYlZWHtnYdJjbmYGLDdShguP3z7m6o9+1loZNNYKHTgNXUpsWnmXm4WqBGWKA75qv2IaC78Rf30zVoREhH1HcsdBpwBEHA2evV+Px4IXR6A55+ZCgeHTcYpTc/h67hl/dXePPThcg2sNBpQKlr6sSODBVySxsRNViJ51NiEOjtAgDwTZ2P2p3bIXR3995f5uAA39T5YsUl6hMWOg0IBoOAo1cqsO90EeQyGZY9GoVpo+8cpvXTcXL1vr3QNTZA4eUN39T5PH5ONoOFTpJXqW7H9sO5KKpqwaghPnhuVjS8PZzuel+PCRPhMWGiZD7qjAYWFjpJlk5vwOGLpTh4/hYc7e3wwuxYPDyCw7RIuljoJEm3alrwySEVKurbMC7WH0tmRMHD1UHsWEQWxUInSenu0eObsyX49nIZPF0dsCZ1FEZH+Ykdi6hfsNBJMvLKGpGeoUJdYyemxg/CM9OHwoXDtGgAYaGTzevU6vDlySKcvFoJP6UT1i1KwPBwzl+hgcfkQj9x4gS2bNkCQRAgCAJefPFFPProo+bIRnRf14vU2PFtHpratHj0ocF4asoQODrYiR2LSBQmFbogCFi/fj127dqFqKgoqFQqLF68GDNmzIBcLjdXRqJfaO3oxp5jBbh4oxbBvq5Y/dRIDB3kKXYsIlGZvIcul8vR2nr7fN3W1lb4+/uzzMliBEHA5dw67DqSj06tDnMmhWP2xHAo7PieIzKp0GUyGT788EOsXr0aLi4uaG9vx8cff2yubER3aGy9PUzrWqEaEUHuWJESixB/N7FjEVkNmSAIgrEP1ul0eOGFF7BmzRqMHTsWV65cwSuvvIJDhw7B1dXVnDlpABMEAVmXSvHJgRvQ6QUsnRWDOVOHwk7OC4SIfs6kPfTc3FzU1dVh7NixAICxY8fC2dkZRUVFiIuLe6BtaDRtMBj6/t8UKV2aLZW1WGIddY0d2J6hgqqsCTGhSjyXEoMALxc0aNrM+jz/SiqvCcC1WCNT1iGXy+Djc/d/mZpU6IGBgaipqUFxcTGGDBmCoqIiaDQahIaGmrJZIhgMAo58V46vTxfDzk6G52ZFY0r8oDuGaRHRnUwqdD8/P7z55ptYu3Zt73yMt99+G0ql0hzZaICqqG9D+mEVSqpbkBDpi2WPRcPL3VHsWERWz+SzXObMmYM5c+aYIwsNcDq9AYcu3B6m5eyowKo5wzE+NoDDtIgeEK8UJatQUt2CTw7norK+HROGB2DRjGHwcOEwLaK+YKGTqLQ9euw/U4ys7HIo3RzxHwvikBDpK3YsIpvEQifR5JY2YntGLuqbuvBIwiAseCQSLk58SxIZi3891O86unT4x4lCnP6hCv5KZ6xfPBoxYV5ixyKyeSx06lfXCtTYmalCc3s3Zo0LxdwpEXC05zAtInNgoVO/aOnoxu4j+bicW4dgP1esmR+HiCAPsWMRSQoLnUzWcvE81Pv2Ir+xAQovb/imzofHhIkAbl+2f+lmLXYfLUCnVod5kyPw+MNhHKZFZAEsdDJJy8XzqN25HUJ3NwBA16BB7c7tt78ePgY7M/NwvUiDIYM8sCIlBsF+HKZFZCksdDKJet/e3jL/iaG7G5mHsnHifA8MgoBFSZGYkTgYcg7TIrIoFjqZRNegueP7Bnt3ZPg/jHLnQMQGeeC5lBj4K51FSkc0sLDQySQKbx/oGjQwQIZs5XCc8Y6HnWDAE23XkbpoLS/bJ+pHLHQyiW/qfPy452sc8noINU6+iGwrx6zm7xH57EKWOVE/Y6GT0Xp0BhzvCcTBQSlw0msxt+Y0Rjq0wu/Zhb1nuRBR/2Ghk1GKKpuRnqFClbodD48IxOIZwxAR+owkPnyAyFax0KlPtN167DtdjKPflcPLwxEvPR2HuKEcpkVkDVjo9MBu3mrA9gwV1M1dmD4mGAumDYWzI99CRNaCf410Xx1dPfjieCHOXK9GgJczXl0yGtGhHKZFZG1Y6PRvXc2vx86sPLS29yBlQijmToqAA4dpEVklFjrdVUt7N3YdyUe2qg6D/d2wdkEcwgM5TIvImrHQ6Q6CIODCjRrsOVoAbY8eT00dgpTxoRymRWQDWOjUS9PchZ2ZefixWIOhwR5YkRKLQb6uYsciogfEQicYBAEnr1biy5NFEAQBi2cMQ/KYEA7TIrIxLPQBrqahA9sP5yK/ohkjwr2wfFYM/DhMi8gmmVzoWq0Wb7/9Ni5cuABHR0ckJCRg06ZN5shGFqQ3GJB5uRz7z5TAQSHH/3o8FpNGBXL+CpENM7nQ//SnP8HR0RGZmZmQyWRQq9XmyEUWVFbbivTDKpTWtmJslB+efTQKSjdHsWMRkYlMKvT29nbs378fp06d6t2z8/XlZeDWqkenx4Hzt5BxsQyuzvZYPW8kEmP8xY5FRGZiUqGXl5dDqVRi69atuHTpElxdXbF27VokJiaaKx+ZSWFFM9IzclGt6cCkkYFYmDwMbs72YsciIjOSCYIgGPvgGzduIDU1Fe+99x6efPJJ/PDDD/j1r3+NI0eOwM2Nnx1pDTq1OnyakYuDZ4vhq3TGiwsSMIZ75USSZNIeelBQEBQKBWbPng0AiI+Ph5eXF0pKSjBq1KgH2oZG0waDoe//TfHzc5fMqFZLreVGSQN2fKuCprkLSWNDkDp1CJwdFRb7vfE1sU5ci/UxZR1yuQw+PnffYTap0L29vTF+/HicO3cOkydPRklJCTQaDcLCwkzZLJmovasHnx8rwLkfaxDo7YINS8dgWIhS7FhEZGEmn+Xyhz/8Aa+//jrS0tKgUCjw7rvvwsODMz/EciWvDp9l5aO1owdPPByGOZPCYa/gMC2igcDkQh88eDA+/fRTc2QhEzS3afHZkXxcyatHaIAbfvNMPEID3MWORUT9iFeK2jhBEHDuxxp8cbwA2h4D5k8bgsfGcZgW0UDEQrdh6qZO7PhWhRu3GjEsxBPPp8QgyIfDtIgGKha6DTIIAo5fqcDeU8WADHh2ZhSmjwmGnJftEw1oLHQbU6Vux/YMFQormzFyiDeeeywGPp5OYsciIivAQrcROr0BGZfKcOBcCRzt7bDyiVhMHMlhWkT0P1joNqC0phWfHM5FeV0bHorxx5KZUfB0dRA7FhFZGRa6Fevu0eObcyXIvFQOdxd7vJg6CmOi/MSORURWioVupfLLm5CeoUJtQwemxAXhmaRIuDpxmBYR3RsL3cp0anX46lQRTnxfCV9PJ7yyKAEjwr3FjkVENoCFbkWuF2mwM1OFxhYtZiYORurUIXB04GX7RPRgWOgiarl4Hup9e/FDcxuOD5qEHx1DEOTjgteWjUVksKfY8YjIxrDQRdJy8Txqdm6Hyj4IWYOT0GXniEnNOXhq6lh4s8yJyAgsdJGUfH0Qh70nosAtFIFdaiysOoqA7kY07S+F98RJYscjIhvEQu9ngiDg7PVq7PaYCr1MjunqK3io6SbkuP0hH7oGjcgJichWsdD7UV1TJ3ZkqJBb2ohQQytmVZ2Gd8+dn1qi8PYRKR0R2ToWej8wGAQcvVKBfaeLIJfJsOyxaIzuuoX6T7X4+YfvyRwc4Js6X7ScRGTbWOgWVqlux/bDuSiqakHcUB8sfywa3h5OAG5PR1Tv2wtdYwMUXt7wTZ0PjwkTxY5MRDaKhW4hOr0Bhy+W4sC5W3B2VGDVk8MxfnjAHcO0PCZMhMeEiZL54FsiEhcL3QJKqluQfliFivo2jIv1x5IZUfDgMC0isjAWuhlpe/T45mwJMi+XwdPVAWvmj8LoYRymRUT9g4VuJnlljUjPUKGusRNT4wfhmemRcHHir5eI+g8bx0SdWh2+PFmEk1cr4ad0wv9blIBYDtMiIhGw0E3wQ6EaOzPz0NSmxaMPDcZTUzhMi4jEw0I3QmtHN/YcK8DFG7UI9nXF6qdGYuggzl8hInHJzbWhrVu3Ijo6Gvn5+ebapNURBAGXbtbit/91Cdm5dZgzKRy/e/4hljkRWQWz7KHfuHED165dQ3BwsDk2Z5UaW7X4NDMP1wrViAhyx4qUWIT4u4kdi4iol8mF3t3djY0bN+L999/H8uXLzZHJqgiCgNM/VOEfJwqh1wtYmBSJmYmDIZfL7v9gIqJ+ZHKhb9myBXPmzEFISIhRj/fxMX4v18/P3ejHPohqdTu2fnUN1wvViIv0xYtPJyDI19Uiz2XptfQXqawD4FqslVTWYol1mFToV69eRU5ODtatW2f0NjSaNhgMwv3v+C8sebm8wSDgyHfl+Pp0MezsZFg+KxrT4gdBJhgs8pxSufRfKusAuBZrJZW1mLIOuVx2zx1hkwo9OzsbRUVFSE5OBgDU1NRg5cqVeOeddzB58mRTNi2aivo2pB9WoaS6BQmRvlj2WDS83B3FjkVEdF8mFfqqVauwatWq3u+TkpKwbds2REVFmRysv+n0Bhw8fwuHLpTC2VGBX80ZgXGx/ncM0yIismY8Dx1AcVUL0jNyUVnfjgkjArA4eRjcXThMi4hsi1kL/fjx4+bcnMVpe/TYf6YYWdnlULo5Yu2COMRH+oodi4jIKAN2Dz23tBHbM3JR39SFR0YH4+lHhsLZccD+OohIAgZcg3V06fDlyUKculYFfy9nrF88GjFhXmLHIiIy2YAq9GsFauzMVKG5vRuzxodi7uQIONpzmBYRScOAKPSWjm7sPpKPy7l1CPFzxZr5cYgI8hA7FhGRWUm60AVBwMWbtdhztACdWh3mTYnA4xPCoLAz20wyIiKrIdlCb2jpws7MPFwv0mDoIA88/3gsgi102T4RkTWQXKEbBAGnrlXhyxOFMAgCFicPQ/LYEA7TIiLJk1Sh1zZ0YHuGCnnlTRge7oXnZsXAT+ksdiwion4hiULXGwzIyi7H/jMlUNjJsSIlBpPjgnjZPhENKDZf6GW1rUjPUKG0phWjh/li6aMcpkVEA5PNFnqPTo99p4uRcbEUrk4K/J95I5EY7ce9ciIasGyy0EtrWvH79Msor23DxJGBWJQ8DG7O9mLHIiISlU0W+j/PlaBTq8dLT8cjbqiP2HGIiKyCTRb6r+aMgL+/B5oa28WOQkRkNWzykkkHezvYK2wyOhGRxbAViYgkgoVORCQRLHQiIolgoRMRSQQLnYhIIljoREQSIfp56KaMtZXSSFyprEUq6wC4FmsllbUYu45/9ziZIAiCsYGIiMh68JALEZFEsNCJiCSChU5EJBEsdCIiiWChExFJBAudiEgiWOhERBLBQicikggWOhGRRIh+6X9flZSUYMOGDWhqaoJSqURaWhrCw8PFjtVnaWlpyMzMRGVlJQ4cOICoqCixIxmtsbER69evR1lZGRwcHBAWFoaNGzfC29tb7Gh9tnr1alRUVEAul8PFxQX/+Z//idjYWLFjmWTr1q3485//bNPvs6SkJDg4OMDR0REAsG7dOkyZMkXkVMbRarV4++23ceHCBTg6OiIhIQGbNm0yz8YFG7Ns2TJh//79giAIwv79+4Vly5aJnMg42dnZQlVVlTB9+nQhLy9P7DgmaWxsFC5evNj7/R//+EfhtddeEzGR8VpaWnq/PnLkiDBv3jwR05guJydHWLlypc2/z2w9/89t2rRJeOuttwSDwSAIgiDU19ebbds2dchFo9Hg5s2bmD17NgBg9uzZuHnzJhoaGkRO1neJiYkICgoSO4ZZKJVKjB8/vvf7hIQEVFVViZjIeO7u7r1ft7W1QSaz3UFQ3d3d2LhxI958802xo9B/a29vx/79+7F27dre95avr6/Ztm9Th1yqq6sREBAAOzs7AICdnR38/f1RXV1tk/+8lyKDwYA9e/YgKSlJ7ChG++1vf4tz585BEAT87W9/EzuO0bZs2YI5c+YgJCRE7ChmsW7dOgiCgLFjx+Lll1+Gh4eH2JH6rLy8HEqlElu3bsWlS5fg6uqKtWvXIjEx0Szbt6k9dLJ+mzZtgouLC5YuXSp2FKO99dZbOHnyJH7zm9/g3XffFTuOUa5evYqcnBwsWbJE7ChmsWvXLvzzn//E3r17IQgCNm7cKHYko+j1epSXl2P48OHYt28f1q1bhzVr1qCtrc0s27epQg8KCkJtbS30ej2A27+curo6yRy6sHVpaWkoLS3Fhx9+CLncpt5adzVv3jxcunQJjY2NYkfps+zsbBQVFSE5ORlJSUmoqanBypUrcfbsWbGjGeWnv3EHBwcsWbIE33//vciJjBMUFASFQtF72Dg+Ph5eXl4oKSkxy/Zt6q/Ox8cHsbGxOHjwIADg4MGDiI2N5eEWK/DBBx8gJycHH330ERwcHMSOY5T29nZUV1f3fn/8+HF4enpCqVSKF8pIq1atwtmzZ3H8+HEcP34cgYGB+Pvf/47JkyeLHa3POjo60NraCgAQBAGHDx+22TOPvL29MX78eJw7dw7A7bP2NBoNwsLCzLJ9m/uAi6KiImzYsAEtLS3w8PBAWloahgwZInasPtu8eTOysrKgVqvh5eUFpVKJQ4cOiR3LKAUFBZg9ezbCw8Ph5OQEAAgJCcFHH30kcrK+UavVWL16NTo7OyGXy+Hp6YlXX30VI0aMEDuayZKSkrBt2zabPG2xvLwca9asgV6vh8FgwNChQ/HGG2/A399f7GhGKS8vx+uvv46mpiYoFAq89NJLmDZtmlm2bXOFTkREd2dTh1yIiOjeWOhERBLBQicikggWOhGRRLDQiYgkgoVORCQRLHQiIolgoRMRScT/B2y+/TJhOnF4AAAAAElFTkSuQmCC
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<h1 id="Homework">Homework<a class="anchor-link" href="#Homework">&#182;</a></h1><ol>
<li>Come up with a (linear) data-set (of 5 to 10 elements) where its mean isn't it's best fit. Why is the one you have found, behaving differently than the g fits we had for each height?</li>
<li>Understand the derivation of the coefficients $a_0$ and $a_1$ for the linear least-squares fit.</li>
<li>Calculate the coefficients for the following data for the model $y = a_0 + a_1 x$:<br>
<code>x         y 
 1.0000    4.9142
 2.0000    7.1201
 3.0000    8.8456
 4.0000   10.8113
 5.0000   13.2231</code><br>
 using both the least-squares fit and the minimizer methods. Are they different?</li>
<li>Discuss the reason for the difference of the two methods' assignment of the coefficients (in Chapra's 14.6). Do you really think that the minimizer approach is better? Why?</li>
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<h1 id="References">References<a class="anchor-link" href="#References">&#182;</a></h1><ul>
<li>D. Horvat &amp; R. Jecmenica, "The Free Fall Experiment" Resonance 21 259-275 (2016) [<a href="https://doi.org/10.1007/s12045-016-0321-9">https://doi.org/10.1007/s12045-016-0321-9</a>]</li>
<li>This lecture is heavily benefited from Steven Chapra's <a href="https://www.mheducation.com/highered/product/applied-numerical-methods-matlab-engineers-scientists-chapra/M9780073397962.html">Applied Numerical Methods with MATLAB: for Engineers &amp; Scientists</a>.</li>
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