septum-mec/actions/comparisons-power/data/20_comparisons_power.html

16870 lines
1.4 MiB

<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>20_comparisons_power</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
<style type="text/css">
/*!
*
* Twitter Bootstrap
*
*/
/*!
* Bootstrap v3.3.7 (http://getbootstrap.com)
* Copyright 2011-2016 Twitter, Inc.
* Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
*/
/*! 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: 1px 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 {
background: transparent !important;
box-shadow: none !important;
text-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: normal;
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: #000;
background-color: #fff;
}
input,
button,
select,
textarea {
font-family: inherit;
font-size: inherit;
line-height: inherit;
}
a {
color: #337ab7;
text-decoration: none;
}
a:hover,
a:focus {
color: #23527c;
text-decoration: underline;
}
a:focus {
outline: 5px auto -webkit-focus-ring-color;
outline-offset: -2px;
}
figure {
margin: 0;
}
img {
vertical-align: middle;
}
.img-responsive,
.thumbnail > img,
.thumbnail a > img,
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
display: block;
max-width: 100%;
height: auto;
}
.img-rounded {
border-radius: 3px;
}
.img-thumbnail {
padding: 4px;
line-height: 1.42857143;
background-color: #fff;
border: 1px solid #ddd;
border-radius: 2px;
-webkit-transition: all 0.2s ease-in-out;
-o-transition: all 0.2s ease-in-out;
transition: all 0.2s ease-in-out;
display: inline-block;
max-width: 100%;
height: auto;
}
.img-circle {
border-radius: 50%;
}
hr {
margin-top: 18px;
margin-bottom: 18px;
border: 0;
border-top: 1px solid #eeeeee;
}
.sr-only {
position: absolute;
width: 1px;
height: 1px;
margin: -1px;
padding: 0;
overflow: hidden;
clip: rect(0, 0, 0, 0);
border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
position: static;
width: auto;
height: auto;
margin: 0;
overflow: visible;
clip: auto;
}
[role="button"] {
cursor: pointer;
}
h1,
h2,
h3,
h4,
h5,
h6,
.h1,
.h2,
.h3,
.h4,
.h5,
.h6 {
font-family: inherit;
font-weight: 500;
line-height: 1.1;
color: inherit;
}
h1 small,
h2 small,
h3 small,
h4 small,
h5 small,
h6 small,
.h1 small,
.h2 small,
.h3 small,
.h4 small,
.h5 small,
.h6 small,
h1 .small,
h2 .small,
h3 .small,
h4 .small,
h5 .small,
h6 .small,
.h1 .small,
.h2 .small,
.h3 .small,
.h4 .small,
.h5 .small,
.h6 .small {
font-weight: normal;
line-height: 1;
color: #777777;
}
h1,
.h1,
h2,
.h2,
h3,
.h3 {
margin-top: 18px;
margin-bottom: 9px;
}
h1 small,
.h1 small,
h2 small,
.h2 small,
h3 small,
.h3 small,
h1 .small,
.h1 .small,
h2 .small,
.h2 .small,
h3 .small,
.h3 .small {
font-size: 65%;
}
h4,
.h4,
h5,
.h5,
h6,
.h6 {
margin-top: 9px;
margin-bottom: 9px;
}
h4 small,
.h4 small,
h5 small,
.h5 small,
h6 small,
.h6 small,
h4 .small,
.h4 .small,
h5 .small,
.h5 .small,
h6 .small,
.h6 .small {
font-size: 75%;
}
h1,
.h1 {
font-size: 33px;
}
h2,
.h2 {
font-size: 27px;
}
h3,
.h3 {
font-size: 23px;
}
h4,
.h4 {
font-size: 17px;
}
h5,
.h5 {
font-size: 13px;
}
h6,
.h6 {
font-size: 12px;
}
p {
margin: 0 0 9px;
}
.lead {
margin-bottom: 18px;
font-size: 14px;
font-weight: 300;
line-height: 1.4;
}
@media (min-width: 768px) {
.lead {
font-size: 19.5px;
}
}
small,
.small {
font-size: 92%;
}
mark,
.mark {
background-color: #fcf8e3;
padding: .2em;
}
.text-left {
text-align: left;
}
.text-right {
text-align: right;
}
.text-center {
text-align: center;
}
.text-justify {
text-align: justify;
}
.text-nowrap {
white-space: nowrap;
}
.text-lowercase {
text-transform: lowercase;
}
.text-uppercase {
text-transform: uppercase;
}
.text-capitalize {
text-transform: capitalize;
}
.text-muted {
color: #777777;
}
.text-primary {
color: #337ab7;
}
a.text-primary:hover,
a.text-primary:focus {
color: #286090;
}
.text-success {
color: #3c763d;
}
a.text-success:hover,
a.text-success:focus {
color: #2b542c;
}
.text-info {
color: #31708f;
}
a.text-info:hover,
a.text-info:focus {
color: #245269;
}
.text-warning {
color: #8a6d3b;
}
a.text-warning:hover,
a.text-warning:focus {
color: #66512c;
}
.text-danger {
color: #a94442;
}
a.text-danger:hover,
a.text-danger:focus {
color: #843534;
}
.bg-primary {
color: #fff;
background-color: #337ab7;
}
a.bg-primary:hover,
a.bg-primary:focus {
background-color: #286090;
}
.bg-success {
background-color: #dff0d8;
}
a.bg-success:hover,
a.bg-success:focus {
background-color: #c1e2b3;
}
.bg-info {
background-color: #d9edf7;
}
a.bg-info:hover,
a.bg-info:focus {
background-color: #afd9ee;
}
.bg-warning {
background-color: #fcf8e3;
}
a.bg-warning:hover,
a.bg-warning:focus {
background-color: #f7ecb5;
}
.bg-danger {
background-color: #f2dede;
}
a.bg-danger:hover,
a.bg-danger:focus {
background-color: #e4b9b9;
}
.page-header {
padding-bottom: 8px;
margin: 36px 0 18px;
border-bottom: 1px solid #eeeeee;
}
ul,
ol {
margin-top: 0;
margin-bottom: 9px;
}
ul ul,
ol ul,
ul ol,
ol ol {
margin-bottom: 0;
}
.list-unstyled {
padding-left: 0;
list-style: none;
}
.list-inline {
padding-left: 0;
list-style: none;
margin-left: -5px;
}
.list-inline > li {
display: inline-block;
padding-left: 5px;
padding-right: 5px;
}
dl {
margin-top: 0;
margin-bottom: 18px;
}
dt,
dd {
line-height: 1.42857143;
}
dt {
font-weight: bold;
}
dd {
margin-left: 0;
}
@media (min-width: 541px) {
.dl-horizontal dt {
float: left;
width: 160px;
clear: left;
text-align: right;
overflow: hidden;
text-overflow: ellipsis;
white-space: nowrap;
}
.dl-horizontal dd {
margin-left: 180px;
}
}
abbr[title],
abbr[data-original-title] {
cursor: help;
border-bottom: 1px dotted #777777;
}
.initialism {
font-size: 90%;
text-transform: uppercase;
}
blockquote {
padding: 9px 18px;
margin: 0 0 18px;
font-size: inherit;
border-left: 5px solid #eeeeee;
}
blockquote p:last-child,
blockquote ul:last-child,
blockquote ol:last-child {
margin-bottom: 0;
}
blockquote footer,
blockquote small,
blockquote .small {
display: block;
font-size: 80%;
line-height: 1.42857143;
color: #777777;
}
blockquote footer:before,
blockquote small:before,
blockquote .small:before {
content: '\2014 \00A0';
}
.blockquote-reverse,
blockquote.pull-right {
padding-right: 15px;
padding-left: 0;
border-right: 5px solid #eeeeee;
border-left: 0;
text-align: right;
}
.blockquote-reverse footer:before,
blockquote.pull-right footer:before,
.blockquote-reverse small:before,
blockquote.pull-right small:before,
.blockquote-reverse .small:before,
blockquote.pull-right .small:before {
content: '';
}
.blockquote-reverse footer:after,
blockquote.pull-right footer:after,
.blockquote-reverse small:after,
blockquote.pull-right small:after,
.blockquote-reverse .small:after,
blockquote.pull-right .small:after {
content: '\00A0 \2014';
}
address {
margin-bottom: 18px;
font-style: normal;
line-height: 1.42857143;
}
code,
kbd,
pre,
samp {
font-family: monospace;
}
code {
padding: 2px 4px;
font-size: 90%;
color: #c7254e;
background-color: #f9f2f4;
border-radius: 2px;
}
kbd {
padding: 2px 4px;
font-size: 90%;
color: #888;
background-color: transparent;
border-radius: 1px;
box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
}
kbd kbd {
padding: 0;
font-size: 100%;
font-weight: bold;
box-shadow: none;
}
pre {
display: block;
padding: 8.5px;
margin: 0 0 9px;
font-size: 12px;
line-height: 1.42857143;
word-break: break-all;
word-wrap: break-word;
color: #333333;
background-color: #f5f5f5;
border: 1px solid #ccc;
border-radius: 2px;
}
pre code {
padding: 0;
font-size: inherit;
color: inherit;
white-space: pre-wrap;
background-color: transparent;
border-radius: 0;
}
.pre-scrollable {
max-height: 340px;
overflow-y: scroll;
}
.container {
margin-right: auto;
margin-left: auto;
padding-left: 0px;
padding-right: 0px;
}
@media (min-width: 768px) {
.container {
width: 768px;
}
}
@media (min-width: 992px) {
.container {
width: 940px;
}
}
@media (min-width: 1200px) {
.container {
width: 1140px;
}
}
.container-fluid {
margin-right: auto;
margin-left: auto;
padding-left: 0px;
padding-right: 0px;
}
.row {
margin-left: 0px;
margin-right: 0px;
}
.col-xs-1, .col-sm-1, .col-md-1, .col-lg-1, .col-xs-2, .col-sm-2, .col-md-2, .col-lg-2, .col-xs-3, .col-sm-3, .col-md-3, .col-lg-3, .col-xs-4, .col-sm-4, .col-md-4, .col-lg-4, .col-xs-5, .col-sm-5, .col-md-5, .col-lg-5, .col-xs-6, .col-sm-6, .col-md-6, .col-lg-6, .col-xs-7, .col-sm-7, .col-md-7, .col-lg-7, .col-xs-8, .col-sm-8, .col-md-8, .col-lg-8, .col-xs-9, .col-sm-9, .col-md-9, .col-lg-9, .col-xs-10, .col-sm-10, .col-md-10, .col-lg-10, .col-xs-11, .col-sm-11, .col-md-11, .col-lg-11, .col-xs-12, .col-sm-12, .col-md-12, .col-lg-12 {
position: relative;
min-height: 1px;
padding-left: 0px;
padding-right: 0px;
}
.col-xs-1, .col-xs-2, .col-xs-3, .col-xs-4, .col-xs-5, .col-xs-6, .col-xs-7, .col-xs-8, .col-xs-9, .col-xs-10, .col-xs-11, .col-xs-12 {
float: left;
}
.col-xs-12 {
width: 100%;
}
.col-xs-11 {
width: 91.66666667%;
}
.col-xs-10 {
width: 83.33333333%;
}
.col-xs-9 {
width: 75%;
}
.col-xs-8 {
width: 66.66666667%;
}
.col-xs-7 {
width: 58.33333333%;
}
.col-xs-6 {
width: 50%;
}
.col-xs-5 {
width: 41.66666667%;
}
.col-xs-4 {
width: 33.33333333%;
}
.col-xs-3 {
width: 25%;
}
.col-xs-2 {
width: 16.66666667%;
}
.col-xs-1 {
width: 8.33333333%;
}
.col-xs-pull-12 {
right: 100%;
}
.col-xs-pull-11 {
right: 91.66666667%;
}
.col-xs-pull-10 {
right: 83.33333333%;
}
.col-xs-pull-9 {
right: 75%;
}
.col-xs-pull-8 {
right: 66.66666667%;
}
.col-xs-pull-7 {
right: 58.33333333%;
}
.col-xs-pull-6 {
right: 50%;
}
.col-xs-pull-5 {
right: 41.66666667%;
}
.col-xs-pull-4 {
right: 33.33333333%;
}
.col-xs-pull-3 {
right: 25%;
}
.col-xs-pull-2 {
right: 16.66666667%;
}
.col-xs-pull-1 {
right: 8.33333333%;
}
.col-xs-pull-0 {
right: auto;
}
.col-xs-push-12 {
left: 100%;
}
.col-xs-push-11 {
left: 91.66666667%;
}
.col-xs-push-10 {
left: 83.33333333%;
}
.col-xs-push-9 {
left: 75%;
}
.col-xs-push-8 {
left: 66.66666667%;
}
.col-xs-push-7 {
left: 58.33333333%;
}
.col-xs-push-6 {
left: 50%;
}
.col-xs-push-5 {
left: 41.66666667%;
}
.col-xs-push-4 {
left: 33.33333333%;
}
.col-xs-push-3 {
left: 25%;
}
.col-xs-push-2 {
left: 16.66666667%;
}
.col-xs-push-1 {
left: 8.33333333%;
}
.col-xs-push-0 {
left: auto;
}
.col-xs-offset-12 {
margin-left: 100%;
}
.col-xs-offset-11 {
margin-left: 91.66666667%;
}
.col-xs-offset-10 {
margin-left: 83.33333333%;
}
.col-xs-offset-9 {
margin-left: 75%;
}
.col-xs-offset-8 {
margin-left: 66.66666667%;
}
.col-xs-offset-7 {
margin-left: 58.33333333%;
}
.col-xs-offset-6 {
margin-left: 50%;
}
.col-xs-offset-5 {
margin-left: 41.66666667%;
}
.col-xs-offset-4 {
margin-left: 33.33333333%;
}
.col-xs-offset-3 {
margin-left: 25%;
}
.col-xs-offset-2 {
margin-left: 16.66666667%;
}
.col-xs-offset-1 {
margin-left: 8.33333333%;
}
.col-xs-offset-0 {
margin-left: 0%;
}
@media (min-width: 768px) {
.col-sm-1, .col-sm-2, .col-sm-3, .col-sm-4, .col-sm-5, .col-sm-6, .col-sm-7, .col-sm-8, .col-sm-9, .col-sm-10, .col-sm-11, .col-sm-12 {
float: left;
}
.col-sm-12 {
width: 100%;
}
.col-sm-11 {
width: 91.66666667%;
}
.col-sm-10 {
width: 83.33333333%;
}
.col-sm-9 {
width: 75%;
}
.col-sm-8 {
width: 66.66666667%;
}
.col-sm-7 {
width: 58.33333333%;
}
.col-sm-6 {
width: 50%;
}
.col-sm-5 {
width: 41.66666667%;
}
.col-sm-4 {
width: 33.33333333%;
}
.col-sm-3 {
width: 25%;
}
.col-sm-2 {
width: 16.66666667%;
}
.col-sm-1 {
width: 8.33333333%;
}
.col-sm-pull-12 {
right: 100%;
}
.col-sm-pull-11 {
right: 91.66666667%;
}
.col-sm-pull-10 {
right: 83.33333333%;
}
.col-sm-pull-9 {
right: 75%;
}
.col-sm-pull-8 {
right: 66.66666667%;
}
.col-sm-pull-7 {
right: 58.33333333%;
}
.col-sm-pull-6 {
right: 50%;
}
.col-sm-pull-5 {
right: 41.66666667%;
}
.col-sm-pull-4 {
right: 33.33333333%;
}
.col-sm-pull-3 {
right: 25%;
}
.col-sm-pull-2 {
right: 16.66666667%;
}
.col-sm-pull-1 {
right: 8.33333333%;
}
.col-sm-pull-0 {
right: auto;
}
.col-sm-push-12 {
left: 100%;
}
.col-sm-push-11 {
left: 91.66666667%;
}
.col-sm-push-10 {
left: 83.33333333%;
}
.col-sm-push-9 {
left: 75%;
}
.col-sm-push-8 {
left: 66.66666667%;
}
.col-sm-push-7 {
left: 58.33333333%;
}
.col-sm-push-6 {
left: 50%;
}
.col-sm-push-5 {
left: 41.66666667%;
}
.col-sm-push-4 {
left: 33.33333333%;
}
.col-sm-push-3 {
left: 25%;
}
.col-sm-push-2 {
left: 16.66666667%;
}
.col-sm-push-1 {
left: 8.33333333%;
}
.col-sm-push-0 {
left: auto;
}
.col-sm-offset-12 {
margin-left: 100%;
}
.col-sm-offset-11 {
margin-left: 91.66666667%;
}
.col-sm-offset-10 {
margin-left: 83.33333333%;
}
.col-sm-offset-9 {
margin-left: 75%;
}
.col-sm-offset-8 {
margin-left: 66.66666667%;
}
.col-sm-offset-7 {
margin-left: 58.33333333%;
}
.col-sm-offset-6 {
margin-left: 50%;
}
.col-sm-offset-5 {
margin-left: 41.66666667%;
}
.col-sm-offset-4 {
margin-left: 33.33333333%;
}
.col-sm-offset-3 {
margin-left: 25%;
}
.col-sm-offset-2 {
margin-left: 16.66666667%;
}
.col-sm-offset-1 {
margin-left: 8.33333333%;
}
.col-sm-offset-0 {
margin-left: 0%;
}
}
@media (min-width: 992px) {
.col-md-1, .col-md-2, .col-md-3, .col-md-4, .col-md-5, .col-md-6, .col-md-7, .col-md-8, .col-md-9, .col-md-10, .col-md-11, .col-md-12 {
float: left;
}
.col-md-12 {
width: 100%;
}
.col-md-11 {
width: 91.66666667%;
}
.col-md-10 {
width: 83.33333333%;
}
.col-md-9 {
width: 75%;
}
.col-md-8 {
width: 66.66666667%;
}
.col-md-7 {
width: 58.33333333%;
}
.col-md-6 {
width: 50%;
}
.col-md-5 {
width: 41.66666667%;
}
.col-md-4 {
width: 33.33333333%;
}
.col-md-3 {
width: 25%;
}
.col-md-2 {
width: 16.66666667%;
}
.col-md-1 {
width: 8.33333333%;
}
.col-md-pull-12 {
right: 100%;
}
.col-md-pull-11 {
right: 91.66666667%;
}
.col-md-pull-10 {
right: 83.33333333%;
}
.col-md-pull-9 {
right: 75%;
}
.col-md-pull-8 {
right: 66.66666667%;
}
.col-md-pull-7 {
right: 58.33333333%;
}
.col-md-pull-6 {
right: 50%;
}
.col-md-pull-5 {
right: 41.66666667%;
}
.col-md-pull-4 {
right: 33.33333333%;
}
.col-md-pull-3 {
right: 25%;
}
.col-md-pull-2 {
right: 16.66666667%;
}
.col-md-pull-1 {
right: 8.33333333%;
}
.col-md-pull-0 {
right: auto;
}
.col-md-push-12 {
left: 100%;
}
.col-md-push-11 {
left: 91.66666667%;
}
.col-md-push-10 {
left: 83.33333333%;
}
.col-md-push-9 {
left: 75%;
}
.col-md-push-8 {
left: 66.66666667%;
}
.col-md-push-7 {
left: 58.33333333%;
}
.col-md-push-6 {
left: 50%;
}
.col-md-push-5 {
left: 41.66666667%;
}
.col-md-push-4 {
left: 33.33333333%;
}
.col-md-push-3 {
left: 25%;
}
.col-md-push-2 {
left: 16.66666667%;
}
.col-md-push-1 {
left: 8.33333333%;
}
.col-md-push-0 {
left: auto;
}
.col-md-offset-12 {
margin-left: 100%;
}
.col-md-offset-11 {
margin-left: 91.66666667%;
}
.col-md-offset-10 {
margin-left: 83.33333333%;
}
.col-md-offset-9 {
margin-left: 75%;
}
.col-md-offset-8 {
margin-left: 66.66666667%;
}
.col-md-offset-7 {
margin-left: 58.33333333%;
}
.col-md-offset-6 {
margin-left: 50%;
}
.col-md-offset-5 {
margin-left: 41.66666667%;
}
.col-md-offset-4 {
margin-left: 33.33333333%;
}
.col-md-offset-3 {
margin-left: 25%;
}
.col-md-offset-2 {
margin-left: 16.66666667%;
}
.col-md-offset-1 {
margin-left: 8.33333333%;
}
.col-md-offset-0 {
margin-left: 0%;
}
}
@media (min-width: 1200px) {
.col-lg-1, .col-lg-2, .col-lg-3, .col-lg-4, .col-lg-5, .col-lg-6, .col-lg-7, .col-lg-8, .col-lg-9, .col-lg-10, .col-lg-11, .col-lg-12 {
float: left;
}
.col-lg-12 {
width: 100%;
}
.col-lg-11 {
width: 91.66666667%;
}
.col-lg-10 {
width: 83.33333333%;
}
.col-lg-9 {
width: 75%;
}
.col-lg-8 {
width: 66.66666667%;
}
.col-lg-7 {
width: 58.33333333%;
}
.col-lg-6 {
width: 50%;
}
.col-lg-5 {
width: 41.66666667%;
}
.col-lg-4 {
width: 33.33333333%;
}
.col-lg-3 {
width: 25%;
}
.col-lg-2 {
width: 16.66666667%;
}
.col-lg-1 {
width: 8.33333333%;
}
.col-lg-pull-12 {
right: 100%;
}
.col-lg-pull-11 {
right: 91.66666667%;
}
.col-lg-pull-10 {
right: 83.33333333%;
}
.col-lg-pull-9 {
right: 75%;
}
.col-lg-pull-8 {
right: 66.66666667%;
}
.col-lg-pull-7 {
right: 58.33333333%;
}
.col-lg-pull-6 {
right: 50%;
}
.col-lg-pull-5 {
right: 41.66666667%;
}
.col-lg-pull-4 {
right: 33.33333333%;
}
.col-lg-pull-3 {
right: 25%;
}
.col-lg-pull-2 {
right: 16.66666667%;
}
.col-lg-pull-1 {
right: 8.33333333%;
}
.col-lg-pull-0 {
right: auto;
}
.col-lg-push-12 {
left: 100%;
}
.col-lg-push-11 {
left: 91.66666667%;
}
.col-lg-push-10 {
left: 83.33333333%;
}
.col-lg-push-9 {
left: 75%;
}
.col-lg-push-8 {
left: 66.66666667%;
}
.col-lg-push-7 {
left: 58.33333333%;
}
.col-lg-push-6 {
left: 50%;
}
.col-lg-push-5 {
left: 41.66666667%;
}
.col-lg-push-4 {
left: 33.33333333%;
}
.col-lg-push-3 {
left: 25%;
}
.col-lg-push-2 {
left: 16.66666667%;
}
.col-lg-push-1 {
left: 8.33333333%;
}
.col-lg-push-0 {
left: auto;
}
.col-lg-offset-12 {
margin-left: 100%;
}
.col-lg-offset-11 {
margin-left: 91.66666667%;
}
.col-lg-offset-10 {
margin-left: 83.33333333%;
}
.col-lg-offset-9 {
margin-left: 75%;
}
.col-lg-offset-8 {
margin-left: 66.66666667%;
}
.col-lg-offset-7 {
margin-left: 58.33333333%;
}
.col-lg-offset-6 {
margin-left: 50%;
}
.col-lg-offset-5 {
margin-left: 41.66666667%;
}
.col-lg-offset-4 {
margin-left: 33.33333333%;
}
.col-lg-offset-3 {
margin-left: 25%;
}
.col-lg-offset-2 {
margin-left: 16.66666667%;
}
.col-lg-offset-1 {
margin-left: 8.33333333%;
}
.col-lg-offset-0 {
margin-left: 0%;
}
}
table {
background-color: transparent;
}
caption {
padding-top: 8px;
padding-bottom: 8px;
color: #777777;
text-align: left;
}
th {
text-align: left;
}
.table {
width: 100%;
max-width: 100%;
margin-bottom: 18px;
}
.table > thead > tr > th,
.table > tbody > tr > th,
.table > tfoot > tr > th,
.table > thead > tr > td,
.table > tbody > tr > td,
.table > tfoot > tr > td {
padding: 8px;
line-height: 1.42857143;
vertical-align: top;
border-top: 1px solid #ddd;
}
.table > thead > tr > th {
vertical-align: bottom;
border-bottom: 2px solid #ddd;
}
.table > caption + thead > tr:first-child > th,
.table > colgroup + thead > tr:first-child > th,
.table > thead:first-child > tr:first-child > th,
.table > caption + thead > tr:first-child > td,
.table > colgroup + thead > tr:first-child > td,
.table > thead:first-child > tr:first-child > td {
border-top: 0;
}
.table > tbody + tbody {
border-top: 2px solid #ddd;
}
.table .table {
background-color: #fff;
}
.table-condensed > thead > tr > th,
.table-condensed > tbody > tr > th,
.table-condensed > tfoot > tr > th,
.table-condensed > thead > tr > td,
.table-condensed > tbody > tr > td,
.table-condensed > tfoot > tr > td {
padding: 5px;
}
.table-bordered {
border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > tbody > tr > th,
.table-bordered > tfoot > tr > th,
.table-bordered > thead > tr > td,
.table-bordered > tbody > tr > td,
.table-bordered > tfoot > tr > td {
border: 1px solid #ddd;
}
.table-bordered > thead > tr > th,
.table-bordered > thead > tr > td {
border-bottom-width: 2px;
}
.table-striped > tbody > tr:nth-of-type(odd) {
background-color: #f9f9f9;
}
.table-hover > tbody > tr:hover {
background-color: #f5f5f5;
}
table col[class*="col-"] {
position: static;
float: none;
display: table-column;
}
table td[class*="col-"],
table th[class*="col-"] {
position: static;
float: none;
display: table-cell;
}
.table > thead > tr > td.active,
.table > tbody > tr > td.active,
.table > tfoot > tr > td.active,
.table > thead > tr > th.active,
.table > tbody > tr > th.active,
.table > tfoot > tr > th.active,
.table > thead > tr.active > td,
.table > tbody > tr.active > td,
.table > tfoot > tr.active > td,
.table > thead > tr.active > th,
.table > tbody > tr.active > th,
.table > tfoot > tr.active > th {
background-color: #f5f5f5;
}
.table-hover > tbody > tr > td.active:hover,
.table-hover > tbody > tr > th.active:hover,
.table-hover > tbody > tr.active:hover > td,
.table-hover > tbody > tr:hover > .active,
.table-hover > tbody > tr.active:hover > th {
background-color: #e8e8e8;
}
.table > thead > tr > td.success,
.table > tbody > tr > td.success,
.table > tfoot > tr > td.success,
.table > thead > tr > th.success,
.table > tbody > tr > th.success,
.table > tfoot > tr > th.success,
.table > thead > tr.success > td,
.table > tbody > tr.success > td,
.table > tfoot > tr.success > td,
.table > thead > tr.success > th,
.table > tbody > tr.success > th,
.table > tfoot > tr.success > th {
background-color: #dff0d8;
}
.table-hover > tbody > tr > td.success:hover,
.table-hover > tbody > tr > th.success:hover,
.table-hover > tbody > tr.success:hover > td,
.table-hover > tbody > tr:hover > .success,
.table-hover > tbody > tr.success:hover > th {
background-color: #d0e9c6;
}
.table > thead > tr > td.info,
.table > tbody > tr > td.info,
.table > tfoot > tr > td.info,
.table > thead > tr > th.info,
.table > tbody > tr > th.info,
.table > tfoot > tr > th.info,
.table > thead > tr.info > td,
.table > tbody > tr.info > td,
.table > tfoot > tr.info > td,
.table > thead > tr.info > th,
.table > tbody > tr.info > th,
.table > tfoot > tr.info > th {
background-color: #d9edf7;
}
.table-hover > tbody > tr > td.info:hover,
.table-hover > tbody > tr > th.info:hover,
.table-hover > tbody > tr.info:hover > td,
.table-hover > tbody > tr:hover > .info,
.table-hover > tbody > tr.info:hover > th {
background-color: #c4e3f3;
}
.table > thead > tr > td.warning,
.table > tbody > tr > td.warning,
.table > tfoot > tr > td.warning,
.table > thead > tr > th.warning,
.table > tbody > tr > th.warning,
.table > tfoot > tr > th.warning,
.table > thead > tr.warning > td,
.table > tbody > tr.warning > td,
.table > tfoot > tr.warning > td,
.table > thead > tr.warning > th,
.table > tbody > tr.warning > th,
.table > tfoot > tr.warning > th {
background-color: #fcf8e3;
}
.table-hover > tbody > tr > td.warning:hover,
.table-hover > tbody > tr > th.warning:hover,
.table-hover > tbody > tr.warning:hover > td,
.table-hover > tbody > tr:hover > .warning,
.table-hover > tbody > tr.warning:hover > th {
background-color: #faf2cc;
}
.table > thead > tr > td.danger,
.table > tbody > tr > td.danger,
.table > tfoot > tr > td.danger,
.table > thead > tr > th.danger,
.table > tbody > tr > th.danger,
.table > tfoot > tr > th.danger,
.table > thead > tr.danger > td,
.table > tbody > tr.danger > td,
.table > tfoot > tr.danger > td,
.table > thead > tr.danger > th,
.table > tbody > tr.danger > th,
.table > tfoot > tr.danger > th {
background-color: #f2dede;
}
.table-hover > tbody > tr > td.danger:hover,
.table-hover > tbody > tr > th.danger:hover,
.table-hover > tbody > tr.danger:hover > td,
.table-hover > tbody > tr:hover > .danger,
.table-hover > tbody > tr.danger:hover > th {
background-color: #ebcccc;
}
.table-responsive {
overflow-x: auto;
min-height: 0.01%;
}
@media screen and (max-width: 767px) {
.table-responsive {
width: 100%;
margin-bottom: 13.5px;
overflow-y: hidden;
-ms-overflow-style: -ms-autohiding-scrollbar;
border: 1px solid #ddd;
}
.table-responsive > .table {
margin-bottom: 0;
}
.table-responsive > .table > thead > tr > th,
.table-responsive > .table > tbody > tr > th,
.table-responsive > .table > tfoot > tr > th,
.table-responsive > .table > thead > tr > td,
.table-responsive > .table > tbody > tr > td,
.table-responsive > .table > tfoot > tr > td {
white-space: nowrap;
}
.table-responsive > .table-bordered {
border: 0;
}
.table-responsive > .table-bordered > thead > tr > th:first-child,
.table-responsive > .table-bordered > tbody > tr > th:first-child,
.table-responsive > .table-bordered > tfoot > tr > th:first-child,
.table-responsive > .table-bordered > thead > tr > td:first-child,
.table-responsive > .table-bordered > tbody > tr > td:first-child,
.table-responsive > .table-bordered > tfoot > tr > td:first-child {
border-left: 0;
}
.table-responsive > .table-bordered > thead > tr > th:last-child,
.table-responsive > .table-bordered > tbody > tr > th:last-child,
.table-responsive > .table-bordered > tfoot > tr > th:last-child,
.table-responsive > .table-bordered > thead > tr > td:last-child,
.table-responsive > .table-bordered > tbody > tr > td:last-child,
.table-responsive > .table-bordered > tfoot > tr > td:last-child {
border-right: 0;
}
.table-responsive > .table-bordered > tbody > tr:last-child > th,
.table-responsive > .table-bordered > tfoot > tr:last-child > th,
.table-responsive > .table-bordered > tbody > tr:last-child > td,
.table-responsive > .table-bordered > tfoot > tr:last-child > td {
border-bottom: 0;
}
}
fieldset {
padding: 0;
margin: 0;
border: 0;
min-width: 0;
}
legend {
display: block;
width: 100%;
padding: 0;
margin-bottom: 18px;
font-size: 19.5px;
line-height: inherit;
color: #333333;
border: 0;
border-bottom: 1px solid #e5e5e5;
}
label {
display: inline-block;
max-width: 100%;
margin-bottom: 5px;
font-weight: bold;
}
input[type="search"] {
-webkit-box-sizing: border-box;
-moz-box-sizing: border-box;
box-sizing: border-box;
}
input[type="radio"],
input[type="checkbox"] {
margin: 4px 0 0;
margin-top: 1px \9;
line-height: normal;
}
input[type="file"] {
display: block;
}
input[type="range"] {
display: block;
width: 100%;
}
select[multiple],
select[size] {
height: auto;
}
input[type="file"]:focus,
input[type="radio"]:focus,
input[type="checkbox"]:focus {
outline: 5px auto -webkit-focus-ring-color;
outline-offset: -2px;
}
output {
display: block;
padding-top: 7px;
font-size: 13px;
line-height: 1.42857143;
color: #555555;
}
.form-control {
display: block;
width: 100%;
height: 32px;
padding: 6px 12px;
font-size: 13px;
line-height: 1.42857143;
color: #555555;
background-color: #fff;
background-image: none;
border: 1px solid #ccc;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
-webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
-o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
}
.form-control:focus {
border-color: #66afe9;
outline: 0;
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.form-control::-moz-placeholder {
color: #999;
opacity: 1;
}
.form-control:-ms-input-placeholder {
color: #999;
}
.form-control::-webkit-input-placeholder {
color: #999;
}
.form-control::-ms-expand {
border: 0;
background-color: transparent;
}
.form-control[disabled],
.form-control[readonly],
fieldset[disabled] .form-control {
background-color: #eeeeee;
opacity: 1;
}
.form-control[disabled],
fieldset[disabled] .form-control {
cursor: not-allowed;
}
textarea.form-control {
height: auto;
}
input[type="search"] {
-webkit-appearance: none;
}
@media screen and (-webkit-min-device-pixel-ratio: 0) {
input[type="date"].form-control,
input[type="time"].form-control,
input[type="datetime-local"].form-control,
input[type="month"].form-control {
line-height: 32px;
}
input[type="date"].input-sm,
input[type="time"].input-sm,
input[type="datetime-local"].input-sm,
input[type="month"].input-sm,
.input-group-sm input[type="date"],
.input-group-sm input[type="time"],
.input-group-sm input[type="datetime-local"],
.input-group-sm input[type="month"] {
line-height: 30px;
}
input[type="date"].input-lg,
input[type="time"].input-lg,
input[type="datetime-local"].input-lg,
input[type="month"].input-lg,
.input-group-lg input[type="date"],
.input-group-lg input[type="time"],
.input-group-lg input[type="datetime-local"],
.input-group-lg input[type="month"] {
line-height: 45px;
}
}
.form-group {
margin-bottom: 15px;
}
.radio,
.checkbox {
position: relative;
display: block;
margin-top: 10px;
margin-bottom: 10px;
}
.radio label,
.checkbox label {
min-height: 18px;
padding-left: 20px;
margin-bottom: 0;
font-weight: normal;
cursor: pointer;
}
.radio input[type="radio"],
.radio-inline input[type="radio"],
.checkbox input[type="checkbox"],
.checkbox-inline input[type="checkbox"] {
position: absolute;
margin-left: -20px;
margin-top: 4px \9;
}
.radio + .radio,
.checkbox + .checkbox {
margin-top: -5px;
}
.radio-inline,
.checkbox-inline {
position: relative;
display: inline-block;
padding-left: 20px;
margin-bottom: 0;
vertical-align: middle;
font-weight: normal;
cursor: pointer;
}
.radio-inline + .radio-inline,
.checkbox-inline + .checkbox-inline {
margin-top: 0;
margin-left: 10px;
}
input[type="radio"][disabled],
input[type="checkbox"][disabled],
input[type="radio"].disabled,
input[type="checkbox"].disabled,
fieldset[disabled] input[type="radio"],
fieldset[disabled] input[type="checkbox"] {
cursor: not-allowed;
}
.radio-inline.disabled,
.checkbox-inline.disabled,
fieldset[disabled] .radio-inline,
fieldset[disabled] .checkbox-inline {
cursor: not-allowed;
}
.radio.disabled label,
.checkbox.disabled label,
fieldset[disabled] .radio label,
fieldset[disabled] .checkbox label {
cursor: not-allowed;
}
.form-control-static {
padding-top: 7px;
padding-bottom: 7px;
margin-bottom: 0;
min-height: 31px;
}
.form-control-static.input-lg,
.form-control-static.input-sm {
padding-left: 0;
padding-right: 0;
}
.input-sm {
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
select.input-sm {
height: 30px;
line-height: 30px;
}
textarea.input-sm,
select[multiple].input-sm {
height: auto;
}
.form-group-sm .form-control {
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
.form-group-sm select.form-control {
height: 30px;
line-height: 30px;
}
.form-group-sm textarea.form-control,
.form-group-sm select[multiple].form-control {
height: auto;
}
.form-group-sm .form-control-static {
height: 30px;
min-height: 30px;
padding: 6px 10px;
font-size: 12px;
line-height: 1.5;
}
.input-lg {
height: 45px;
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
border-radius: 3px;
}
select.input-lg {
height: 45px;
line-height: 45px;
}
textarea.input-lg,
select[multiple].input-lg {
height: auto;
}
.form-group-lg .form-control {
height: 45px;
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
border-radius: 3px;
}
.form-group-lg select.form-control {
height: 45px;
line-height: 45px;
}
.form-group-lg textarea.form-control,
.form-group-lg select[multiple].form-control {
height: auto;
}
.form-group-lg .form-control-static {
height: 45px;
min-height: 35px;
padding: 11px 16px;
font-size: 17px;
line-height: 1.3333333;
}
.has-feedback {
position: relative;
}
.has-feedback .form-control {
padding-right: 40px;
}
.form-control-feedback {
position: absolute;
top: 0;
right: 0;
z-index: 2;
display: block;
width: 32px;
height: 32px;
line-height: 32px;
text-align: center;
pointer-events: none;
}
.input-lg + .form-control-feedback,
.input-group-lg + .form-control-feedback,
.form-group-lg .form-control + .form-control-feedback {
width: 45px;
height: 45px;
line-height: 45px;
}
.input-sm + .form-control-feedback,
.input-group-sm + .form-control-feedback,
.form-group-sm .form-control + .form-control-feedback {
width: 30px;
height: 30px;
line-height: 30px;
}
.has-success .help-block,
.has-success .control-label,
.has-success .radio,
.has-success .checkbox,
.has-success .radio-inline,
.has-success .checkbox-inline,
.has-success.radio label,
.has-success.checkbox label,
.has-success.radio-inline label,
.has-success.checkbox-inline label {
color: #3c763d;
}
.has-success .form-control {
border-color: #3c763d;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-success .form-control:focus {
border-color: #2b542c;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #67b168;
}
.has-success .input-group-addon {
color: #3c763d;
border-color: #3c763d;
background-color: #dff0d8;
}
.has-success .form-control-feedback {
color: #3c763d;
}
.has-warning .help-block,
.has-warning .control-label,
.has-warning .radio,
.has-warning .checkbox,
.has-warning .radio-inline,
.has-warning .checkbox-inline,
.has-warning.radio label,
.has-warning.checkbox label,
.has-warning.radio-inline label,
.has-warning.checkbox-inline label {
color: #8a6d3b;
}
.has-warning .form-control {
border-color: #8a6d3b;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-warning .form-control:focus {
border-color: #66512c;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #c0a16b;
}
.has-warning .input-group-addon {
color: #8a6d3b;
border-color: #8a6d3b;
background-color: #fcf8e3;
}
.has-warning .form-control-feedback {
color: #8a6d3b;
}
.has-error .help-block,
.has-error .control-label,
.has-error .radio,
.has-error .checkbox,
.has-error .radio-inline,
.has-error .checkbox-inline,
.has-error.radio label,
.has-error.checkbox label,
.has-error.radio-inline label,
.has-error.checkbox-inline label {
color: #a94442;
}
.has-error .form-control {
border-color: #a94442;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
}
.has-error .form-control:focus {
border-color: #843534;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075), 0 0 6px #ce8483;
}
.has-error .input-group-addon {
color: #a94442;
border-color: #a94442;
background-color: #f2dede;
}
.has-error .form-control-feedback {
color: #a94442;
}
.has-feedback label ~ .form-control-feedback {
top: 23px;
}
.has-feedback label.sr-only ~ .form-control-feedback {
top: 0;
}
.help-block {
display: block;
margin-top: 5px;
margin-bottom: 10px;
color: #404040;
}
@media (min-width: 768px) {
.form-inline .form-group {
display: inline-block;
margin-bottom: 0;
vertical-align: middle;
}
.form-inline .form-control {
display: inline-block;
width: auto;
vertical-align: middle;
}
.form-inline .form-control-static {
display: inline-block;
}
.form-inline .input-group {
display: inline-table;
vertical-align: middle;
}
.form-inline .input-group .input-group-addon,
.form-inline .input-group .input-group-btn,
.form-inline .input-group .form-control {
width: auto;
}
.form-inline .input-group > .form-control {
width: 100%;
}
.form-inline .control-label {
margin-bottom: 0;
vertical-align: middle;
}
.form-inline .radio,
.form-inline .checkbox {
display: inline-block;
margin-top: 0;
margin-bottom: 0;
vertical-align: middle;
}
.form-inline .radio label,
.form-inline .checkbox label {
padding-left: 0;
}
.form-inline .radio input[type="radio"],
.form-inline .checkbox input[type="checkbox"] {
position: relative;
margin-left: 0;
}
.form-inline .has-feedback .form-control-feedback {
top: 0;
}
}
.form-horizontal .radio,
.form-horizontal .checkbox,
.form-horizontal .radio-inline,
.form-horizontal .checkbox-inline {
margin-top: 0;
margin-bottom: 0;
padding-top: 7px;
}
.form-horizontal .radio,
.form-horizontal .checkbox {
min-height: 25px;
}
.form-horizontal .form-group {
margin-left: 0px;
margin-right: 0px;
}
@media (min-width: 768px) {
.form-horizontal .control-label {
text-align: right;
margin-bottom: 0;
padding-top: 7px;
}
}
.form-horizontal .has-feedback .form-control-feedback {
right: 0px;
}
@media (min-width: 768px) {
.form-horizontal .form-group-lg .control-label {
padding-top: 11px;
font-size: 17px;
}
}
@media (min-width: 768px) {
.form-horizontal .form-group-sm .control-label {
padding-top: 6px;
font-size: 12px;
}
}
.btn {
display: inline-block;
margin-bottom: 0;
font-weight: normal;
text-align: center;
vertical-align: middle;
touch-action: manipulation;
cursor: pointer;
background-image: none;
border: 1px solid transparent;
white-space: nowrap;
padding: 6px 12px;
font-size: 13px;
line-height: 1.42857143;
border-radius: 2px;
-webkit-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
user-select: none;
}
.btn:focus,
.btn:active:focus,
.btn.active:focus,
.btn.focus,
.btn:active.focus,
.btn.active.focus {
outline: 5px auto -webkit-focus-ring-color;
outline-offset: -2px;
}
.btn:hover,
.btn:focus,
.btn.focus {
color: #333;
text-decoration: none;
}
.btn:active,
.btn.active {
outline: 0;
background-image: none;
-webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn.disabled,
.btn[disabled],
fieldset[disabled] .btn {
cursor: not-allowed;
opacity: 0.65;
filter: alpha(opacity=65);
-webkit-box-shadow: none;
box-shadow: none;
}
a.btn.disabled,
fieldset[disabled] a.btn {
pointer-events: none;
}
.btn-default {
color: #333;
background-color: #fff;
border-color: #ccc;
}
.btn-default:focus,
.btn-default.focus {
color: #333;
background-color: #e6e6e6;
border-color: #8c8c8c;
}
.btn-default:hover {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
.btn-default:active:hover,
.btn-default.active:hover,
.open > .dropdown-toggle.btn-default:hover,
.btn-default:active:focus,
.btn-default.active:focus,
.open > .dropdown-toggle.btn-default:focus,
.btn-default:active.focus,
.btn-default.active.focus,
.open > .dropdown-toggle.btn-default.focus {
color: #333;
background-color: #d4d4d4;
border-color: #8c8c8c;
}
.btn-default:active,
.btn-default.active,
.open > .dropdown-toggle.btn-default {
background-image: none;
}
.btn-default.disabled:hover,
.btn-default[disabled]:hover,
fieldset[disabled] .btn-default:hover,
.btn-default.disabled:focus,
.btn-default[disabled]:focus,
fieldset[disabled] .btn-default:focus,
.btn-default.disabled.focus,
.btn-default[disabled].focus,
fieldset[disabled] .btn-default.focus {
background-color: #fff;
border-color: #ccc;
}
.btn-default .badge {
color: #fff;
background-color: #333;
}
.btn-primary {
color: #fff;
background-color: #337ab7;
border-color: #2e6da4;
}
.btn-primary:focus,
.btn-primary.focus {
color: #fff;
background-color: #286090;
border-color: #122b40;
}
.btn-primary:hover {
color: #fff;
background-color: #286090;
border-color: #204d74;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
color: #fff;
background-color: #286090;
border-color: #204d74;
}
.btn-primary:active:hover,
.btn-primary.active:hover,
.open > .dropdown-toggle.btn-primary:hover,
.btn-primary:active:focus,
.btn-primary.active:focus,
.open > .dropdown-toggle.btn-primary:focus,
.btn-primary:active.focus,
.btn-primary.active.focus,
.open > .dropdown-toggle.btn-primary.focus {
color: #fff;
background-color: #204d74;
border-color: #122b40;
}
.btn-primary:active,
.btn-primary.active,
.open > .dropdown-toggle.btn-primary {
background-image: none;
}
.btn-primary.disabled:hover,
.btn-primary[disabled]:hover,
fieldset[disabled] .btn-primary:hover,
.btn-primary.disabled:focus,
.btn-primary[disabled]:focus,
fieldset[disabled] .btn-primary:focus,
.btn-primary.disabled.focus,
.btn-primary[disabled].focus,
fieldset[disabled] .btn-primary.focus {
background-color: #337ab7;
border-color: #2e6da4;
}
.btn-primary .badge {
color: #337ab7;
background-color: #fff;
}
.btn-success {
color: #fff;
background-color: #5cb85c;
border-color: #4cae4c;
}
.btn-success:focus,
.btn-success.focus {
color: #fff;
background-color: #449d44;
border-color: #255625;
}
.btn-success:hover {
color: #fff;
background-color: #449d44;
border-color: #398439;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
color: #fff;
background-color: #449d44;
border-color: #398439;
}
.btn-success:active:hover,
.btn-success.active:hover,
.open > .dropdown-toggle.btn-success:hover,
.btn-success:active:focus,
.btn-success.active:focus,
.open > .dropdown-toggle.btn-success:focus,
.btn-success:active.focus,
.btn-success.active.focus,
.open > .dropdown-toggle.btn-success.focus {
color: #fff;
background-color: #398439;
border-color: #255625;
}
.btn-success:active,
.btn-success.active,
.open > .dropdown-toggle.btn-success {
background-image: none;
}
.btn-success.disabled:hover,
.btn-success[disabled]:hover,
fieldset[disabled] .btn-success:hover,
.btn-success.disabled:focus,
.btn-success[disabled]:focus,
fieldset[disabled] .btn-success:focus,
.btn-success.disabled.focus,
.btn-success[disabled].focus,
fieldset[disabled] .btn-success.focus {
background-color: #5cb85c;
border-color: #4cae4c;
}
.btn-success .badge {
color: #5cb85c;
background-color: #fff;
}
.btn-info {
color: #fff;
background-color: #5bc0de;
border-color: #46b8da;
}
.btn-info:focus,
.btn-info.focus {
color: #fff;
background-color: #31b0d5;
border-color: #1b6d85;
}
.btn-info:hover {
color: #fff;
background-color: #31b0d5;
border-color: #269abc;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
color: #fff;
background-color: #31b0d5;
border-color: #269abc;
}
.btn-info:active:hover,
.btn-info.active:hover,
.open > .dropdown-toggle.btn-info:hover,
.btn-info:active:focus,
.btn-info.active:focus,
.open > .dropdown-toggle.btn-info:focus,
.btn-info:active.focus,
.btn-info.active.focus,
.open > .dropdown-toggle.btn-info.focus {
color: #fff;
background-color: #269abc;
border-color: #1b6d85;
}
.btn-info:active,
.btn-info.active,
.open > .dropdown-toggle.btn-info {
background-image: none;
}
.btn-info.disabled:hover,
.btn-info[disabled]:hover,
fieldset[disabled] .btn-info:hover,
.btn-info.disabled:focus,
.btn-info[disabled]:focus,
fieldset[disabled] .btn-info:focus,
.btn-info.disabled.focus,
.btn-info[disabled].focus,
fieldset[disabled] .btn-info.focus {
background-color: #5bc0de;
border-color: #46b8da;
}
.btn-info .badge {
color: #5bc0de;
background-color: #fff;
}
.btn-warning {
color: #fff;
background-color: #f0ad4e;
border-color: #eea236;
}
.btn-warning:focus,
.btn-warning.focus {
color: #fff;
background-color: #ec971f;
border-color: #985f0d;
}
.btn-warning:hover {
color: #fff;
background-color: #ec971f;
border-color: #d58512;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
color: #fff;
background-color: #ec971f;
border-color: #d58512;
}
.btn-warning:active:hover,
.btn-warning.active:hover,
.open > .dropdown-toggle.btn-warning:hover,
.btn-warning:active:focus,
.btn-warning.active:focus,
.open > .dropdown-toggle.btn-warning:focus,
.btn-warning:active.focus,
.btn-warning.active.focus,
.open > .dropdown-toggle.btn-warning.focus {
color: #fff;
background-color: #d58512;
border-color: #985f0d;
}
.btn-warning:active,
.btn-warning.active,
.open > .dropdown-toggle.btn-warning {
background-image: none;
}
.btn-warning.disabled:hover,
.btn-warning[disabled]:hover,
fieldset[disabled] .btn-warning:hover,
.btn-warning.disabled:focus,
.btn-warning[disabled]:focus,
fieldset[disabled] .btn-warning:focus,
.btn-warning.disabled.focus,
.btn-warning[disabled].focus,
fieldset[disabled] .btn-warning.focus {
background-color: #f0ad4e;
border-color: #eea236;
}
.btn-warning .badge {
color: #f0ad4e;
background-color: #fff;
}
.btn-danger {
color: #fff;
background-color: #d9534f;
border-color: #d43f3a;
}
.btn-danger:focus,
.btn-danger.focus {
color: #fff;
background-color: #c9302c;
border-color: #761c19;
}
.btn-danger:hover {
color: #fff;
background-color: #c9302c;
border-color: #ac2925;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
color: #fff;
background-color: #c9302c;
border-color: #ac2925;
}
.btn-danger:active:hover,
.btn-danger.active:hover,
.open > .dropdown-toggle.btn-danger:hover,
.btn-danger:active:focus,
.btn-danger.active:focus,
.open > .dropdown-toggle.btn-danger:focus,
.btn-danger:active.focus,
.btn-danger.active.focus,
.open > .dropdown-toggle.btn-danger.focus {
color: #fff;
background-color: #ac2925;
border-color: #761c19;
}
.btn-danger:active,
.btn-danger.active,
.open > .dropdown-toggle.btn-danger {
background-image: none;
}
.btn-danger.disabled:hover,
.btn-danger[disabled]:hover,
fieldset[disabled] .btn-danger:hover,
.btn-danger.disabled:focus,
.btn-danger[disabled]:focus,
fieldset[disabled] .btn-danger:focus,
.btn-danger.disabled.focus,
.btn-danger[disabled].focus,
fieldset[disabled] .btn-danger.focus {
background-color: #d9534f;
border-color: #d43f3a;
}
.btn-danger .badge {
color: #d9534f;
background-color: #fff;
}
.btn-link {
color: #337ab7;
font-weight: normal;
border-radius: 0;
}
.btn-link,
.btn-link:active,
.btn-link.active,
.btn-link[disabled],
fieldset[disabled] .btn-link {
background-color: transparent;
-webkit-box-shadow: none;
box-shadow: none;
}
.btn-link,
.btn-link:hover,
.btn-link:focus,
.btn-link:active {
border-color: transparent;
}
.btn-link:hover,
.btn-link:focus {
color: #23527c;
text-decoration: underline;
background-color: transparent;
}
.btn-link[disabled]:hover,
fieldset[disabled] .btn-link:hover,
.btn-link[disabled]:focus,
fieldset[disabled] .btn-link:focus {
color: #777777;
text-decoration: none;
}
.btn-lg,
.btn-group-lg > .btn {
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
border-radius: 3px;
}
.btn-sm,
.btn-group-sm > .btn {
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
.btn-xs,
.btn-group-xs > .btn {
padding: 1px 5px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
.btn-block {
display: block;
width: 100%;
}
.btn-block + .btn-block {
margin-top: 5px;
}
input[type="submit"].btn-block,
input[type="reset"].btn-block,
input[type="button"].btn-block {
width: 100%;
}
.fade {
opacity: 0;
-webkit-transition: opacity 0.15s linear;
-o-transition: opacity 0.15s linear;
transition: opacity 0.15s linear;
}
.fade.in {
opacity: 1;
}
.collapse {
display: none;
}
.collapse.in {
display: block;
}
tr.collapse.in {
display: table-row;
}
tbody.collapse.in {
display: table-row-group;
}
.collapsing {
position: relative;
height: 0;
overflow: hidden;
-webkit-transition-property: height, visibility;
transition-property: height, visibility;
-webkit-transition-duration: 0.35s;
transition-duration: 0.35s;
-webkit-transition-timing-function: ease;
transition-timing-function: ease;
}
.caret {
display: inline-block;
width: 0;
height: 0;
margin-left: 2px;
vertical-align: middle;
border-top: 4px dashed;
border-top: 4px solid \9;
border-right: 4px solid transparent;
border-left: 4px solid transparent;
}
.dropup,
.dropdown {
position: relative;
}
.dropdown-toggle:focus {
outline: 0;
}
.dropdown-menu {
position: absolute;
top: 100%;
left: 0;
z-index: 1000;
display: none;
float: left;
min-width: 160px;
padding: 5px 0;
margin: 2px 0 0;
list-style: none;
font-size: 13px;
text-align: left;
background-color: #fff;
border: 1px solid #ccc;
border: 1px solid rgba(0, 0, 0, 0.15);
border-radius: 2px;
-webkit-box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
box-shadow: 0 6px 12px rgba(0, 0, 0, 0.175);
background-clip: padding-box;
}
.dropdown-menu.pull-right {
right: 0;
left: auto;
}
.dropdown-menu .divider {
height: 1px;
margin: 8px 0;
overflow: hidden;
background-color: #e5e5e5;
}
.dropdown-menu > li > a {
display: block;
padding: 3px 20px;
clear: both;
font-weight: normal;
line-height: 1.42857143;
color: #333333;
white-space: nowrap;
}
.dropdown-menu > li > a:hover,
.dropdown-menu > li > a:focus {
text-decoration: none;
color: #262626;
background-color: #f5f5f5;
}
.dropdown-menu > .active > a,
.dropdown-menu > .active > a:hover,
.dropdown-menu > .active > a:focus {
color: #fff;
text-decoration: none;
outline: 0;
background-color: #337ab7;
}
.dropdown-menu > .disabled > a,
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
color: #777777;
}
.dropdown-menu > .disabled > a:hover,
.dropdown-menu > .disabled > a:focus {
text-decoration: none;
background-color: transparent;
background-image: none;
filter: progid:DXImageTransform.Microsoft.gradient(enabled = false);
cursor: not-allowed;
}
.open > .dropdown-menu {
display: block;
}
.open > a {
outline: 0;
}
.dropdown-menu-right {
left: auto;
right: 0;
}
.dropdown-menu-left {
left: 0;
right: auto;
}
.dropdown-header {
display: block;
padding: 3px 20px;
font-size: 12px;
line-height: 1.42857143;
color: #777777;
white-space: nowrap;
}
.dropdown-backdrop {
position: fixed;
left: 0;
right: 0;
bottom: 0;
top: 0;
z-index: 990;
}
.pull-right > .dropdown-menu {
right: 0;
left: auto;
}
.dropup .caret,
.navbar-fixed-bottom .dropdown .caret {
border-top: 0;
border-bottom: 4px dashed;
border-bottom: 4px solid \9;
content: "";
}
.dropup .dropdown-menu,
.navbar-fixed-bottom .dropdown .dropdown-menu {
top: auto;
bottom: 100%;
margin-bottom: 2px;
}
@media (min-width: 541px) {
.navbar-right .dropdown-menu {
left: auto;
right: 0;
}
.navbar-right .dropdown-menu-left {
left: 0;
right: auto;
}
}
.btn-group,
.btn-group-vertical {
position: relative;
display: inline-block;
vertical-align: middle;
}
.btn-group > .btn,
.btn-group-vertical > .btn {
position: relative;
float: left;
}
.btn-group > .btn:hover,
.btn-group-vertical > .btn:hover,
.btn-group > .btn:focus,
.btn-group-vertical > .btn:focus,
.btn-group > .btn:active,
.btn-group-vertical > .btn:active,
.btn-group > .btn.active,
.btn-group-vertical > .btn.active {
z-index: 2;
}
.btn-group .btn + .btn,
.btn-group .btn + .btn-group,
.btn-group .btn-group + .btn,
.btn-group .btn-group + .btn-group {
margin-left: -1px;
}
.btn-toolbar {
margin-left: -5px;
}
.btn-toolbar .btn,
.btn-toolbar .btn-group,
.btn-toolbar .input-group {
float: left;
}
.btn-toolbar > .btn,
.btn-toolbar > .btn-group,
.btn-toolbar > .input-group {
margin-left: 5px;
}
.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
border-radius: 0;
}
.btn-group > .btn:first-child {
margin-left: 0;
}
.btn-group > .btn:first-child:not(:last-child):not(.dropdown-toggle) {
border-bottom-right-radius: 0;
border-top-right-radius: 0;
}
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
border-bottom-left-radius: 0;
border-top-left-radius: 0;
}
.btn-group > .btn-group {
float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
border-radius: 0;
}
.btn-group > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
border-bottom-right-radius: 0;
border-top-right-radius: 0;
}
.btn-group > .btn-group:last-child:not(:first-child) > .btn:first-child {
border-bottom-left-radius: 0;
border-top-left-radius: 0;
}
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
outline: 0;
}
.btn-group > .btn + .dropdown-toggle {
padding-left: 8px;
padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
padding-left: 12px;
padding-right: 12px;
}
.btn-group.open .dropdown-toggle {
-webkit-box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
box-shadow: inset 0 3px 5px rgba(0, 0, 0, 0.125);
}
.btn-group.open .dropdown-toggle.btn-link {
-webkit-box-shadow: none;
box-shadow: none;
}
.btn .caret {
margin-left: 0;
}
.btn-lg .caret {
border-width: 5px 5px 0;
border-bottom-width: 0;
}
.dropup .btn-lg .caret {
border-width: 0 5px 5px;
}
.btn-group-vertical > .btn,
.btn-group-vertical > .btn-group,
.btn-group-vertical > .btn-group > .btn {
display: block;
float: none;
width: 100%;
max-width: 100%;
}
.btn-group-vertical > .btn-group > .btn {
float: none;
}
.btn-group-vertical > .btn + .btn,
.btn-group-vertical > .btn + .btn-group,
.btn-group-vertical > .btn-group + .btn,
.btn-group-vertical > .btn-group + .btn-group {
margin-top: -1px;
margin-left: 0;
}
.btn-group-vertical > .btn:not(:first-child):not(:last-child) {
border-radius: 0;
}
.btn-group-vertical > .btn:first-child:not(:last-child) {
border-top-right-radius: 2px;
border-top-left-radius: 2px;
border-bottom-right-radius: 0;
border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn:last-child:not(:first-child) {
border-top-right-radius: 0;
border-top-left-radius: 0;
border-bottom-right-radius: 2px;
border-bottom-left-radius: 2px;
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .btn:last-child,
.btn-group-vertical > .btn-group:first-child:not(:last-child) > .dropdown-toggle {
border-bottom-right-radius: 0;
border-bottom-left-radius: 0;
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
border-top-right-radius: 0;
border-top-left-radius: 0;
}
.btn-group-justified {
display: table;
width: 100%;
table-layout: fixed;
border-collapse: separate;
}
.btn-group-justified > .btn,
.btn-group-justified > .btn-group {
float: none;
display: table-cell;
width: 1%;
}
.btn-group-justified > .btn-group .btn {
width: 100%;
}
.btn-group-justified > .btn-group .dropdown-menu {
left: auto;
}
[data-toggle="buttons"] > .btn input[type="radio"],
[data-toggle="buttons"] > .btn-group > .btn input[type="radio"],
[data-toggle="buttons"] > .btn input[type="checkbox"],
[data-toggle="buttons"] > .btn-group > .btn input[type="checkbox"] {
position: absolute;
clip: rect(0, 0, 0, 0);
pointer-events: none;
}
.input-group {
position: relative;
display: table;
border-collapse: separate;
}
.input-group[class*="col-"] {
float: none;
padding-left: 0;
padding-right: 0;
}
.input-group .form-control {
position: relative;
z-index: 2;
float: left;
width: 100%;
margin-bottom: 0;
}
.input-group .form-control:focus {
z-index: 3;
}
.input-group-lg > .form-control,
.input-group-lg > .input-group-addon,
.input-group-lg > .input-group-btn > .btn {
height: 45px;
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
border-radius: 3px;
}
select.input-group-lg > .form-control,
select.input-group-lg > .input-group-addon,
select.input-group-lg > .input-group-btn > .btn {
height: 45px;
line-height: 45px;
}
textarea.input-group-lg > .form-control,
textarea.input-group-lg > .input-group-addon,
textarea.input-group-lg > .input-group-btn > .btn,
select[multiple].input-group-lg > .form-control,
select[multiple].input-group-lg > .input-group-addon,
select[multiple].input-group-lg > .input-group-btn > .btn {
height: auto;
}
.input-group-sm > .form-control,
.input-group-sm > .input-group-addon,
.input-group-sm > .input-group-btn > .btn {
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
}
select.input-group-sm > .form-control,
select.input-group-sm > .input-group-addon,
select.input-group-sm > .input-group-btn > .btn {
height: 30px;
line-height: 30px;
}
textarea.input-group-sm > .form-control,
textarea.input-group-sm > .input-group-addon,
textarea.input-group-sm > .input-group-btn > .btn,
select[multiple].input-group-sm > .form-control,
select[multiple].input-group-sm > .input-group-addon,
select[multiple].input-group-sm > .input-group-btn > .btn {
height: auto;
}
.input-group-addon,
.input-group-btn,
.input-group .form-control {
display: table-cell;
}
.input-group-addon:not(:first-child):not(:last-child),
.input-group-btn:not(:first-child):not(:last-child),
.input-group .form-control:not(:first-child):not(:last-child) {
border-radius: 0;
}
.input-group-addon,
.input-group-btn {
width: 1%;
white-space: nowrap;
vertical-align: middle;
}
.input-group-addon {
padding: 6px 12px;
font-size: 13px;
font-weight: normal;
line-height: 1;
color: #555555;
text-align: center;
background-color: #eeeeee;
border: 1px solid #ccc;
border-radius: 2px;
}
.input-group-addon.input-sm {
padding: 5px 10px;
font-size: 12px;
border-radius: 1px;
}
.input-group-addon.input-lg {
padding: 10px 16px;
font-size: 17px;
border-radius: 3px;
}
.input-group-addon input[type="radio"],
.input-group-addon input[type="checkbox"] {
margin-top: 0;
}
.input-group .form-control:first-child,
.input-group-addon:first-child,
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group > .btn,
.input-group-btn:first-child > .dropdown-toggle,
.input-group-btn:last-child > .btn:not(:last-child):not(.dropdown-toggle),
.input-group-btn:last-child > .btn-group:not(:last-child) > .btn {
border-bottom-right-radius: 0;
border-top-right-radius: 0;
}
.input-group-addon:first-child {
border-right: 0;
}
.input-group .form-control:last-child,
.input-group-addon:last-child,
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group > .btn,
.input-group-btn:last-child > .dropdown-toggle,
.input-group-btn:first-child > .btn:not(:first-child),
.input-group-btn:first-child > .btn-group:not(:first-child) > .btn {
border-bottom-left-radius: 0;
border-top-left-radius: 0;
}
.input-group-addon:last-child {
border-left: 0;
}
.input-group-btn {
position: relative;
font-size: 0;
white-space: nowrap;
}
.input-group-btn > .btn {
position: relative;
}
.input-group-btn > .btn + .btn {
margin-left: -1px;
}
.input-group-btn > .btn:hover,
.input-group-btn > .btn:focus,
.input-group-btn > .btn:active {
z-index: 2;
}
.input-group-btn:first-child > .btn,
.input-group-btn:first-child > .btn-group {
margin-right: -1px;
}
.input-group-btn:last-child > .btn,
.input-group-btn:last-child > .btn-group {
z-index: 2;
margin-left: -1px;
}
.nav {
margin-bottom: 0;
padding-left: 0;
list-style: none;
}
.nav > li {
position: relative;
display: block;
}
.nav > li > a {
position: relative;
display: block;
padding: 10px 15px;
}
.nav > li > a:hover,
.nav > li > a:focus {
text-decoration: none;
background-color: #eeeeee;
}
.nav > li.disabled > a {
color: #777777;
}
.nav > li.disabled > a:hover,
.nav > li.disabled > a:focus {
color: #777777;
text-decoration: none;
background-color: transparent;
cursor: not-allowed;
}
.nav .open > a,
.nav .open > a:hover,
.nav .open > a:focus {
background-color: #eeeeee;
border-color: #337ab7;
}
.nav .nav-divider {
height: 1px;
margin: 8px 0;
overflow: hidden;
background-color: #e5e5e5;
}
.nav > li > a > img {
max-width: none;
}
.nav-tabs {
border-bottom: 1px solid #ddd;
}
.nav-tabs > li {
float: left;
margin-bottom: -1px;
}
.nav-tabs > li > a {
margin-right: 2px;
line-height: 1.42857143;
border: 1px solid transparent;
border-radius: 2px 2px 0 0;
}
.nav-tabs > li > a:hover {
border-color: #eeeeee #eeeeee #ddd;
}
.nav-tabs > li.active > a,
.nav-tabs > li.active > a:hover,
.nav-tabs > li.active > a:focus {
color: #555555;
background-color: #fff;
border: 1px solid #ddd;
border-bottom-color: transparent;
cursor: default;
}
.nav-tabs.nav-justified {
width: 100%;
border-bottom: 0;
}
.nav-tabs.nav-justified > li {
float: none;
}
.nav-tabs.nav-justified > li > a {
text-align: center;
margin-bottom: 5px;
}
.nav-tabs.nav-justified > .dropdown .dropdown-menu {
top: auto;
left: auto;
}
@media (min-width: 768px) {
.nav-tabs.nav-justified > li {
display: table-cell;
width: 1%;
}
.nav-tabs.nav-justified > li > a {
margin-bottom: 0;
}
}
.nav-tabs.nav-justified > li > a {
margin-right: 0;
border-radius: 2px;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
border: 1px solid #ddd;
}
@media (min-width: 768px) {
.nav-tabs.nav-justified > li > a {
border-bottom: 1px solid #ddd;
border-radius: 2px 2px 0 0;
}
.nav-tabs.nav-justified > .active > a,
.nav-tabs.nav-justified > .active > a:hover,
.nav-tabs.nav-justified > .active > a:focus {
border-bottom-color: #fff;
}
}
.nav-pills > li {
float: left;
}
.nav-pills > li > a {
border-radius: 2px;
}
.nav-pills > li + li {
margin-left: 2px;
}
.nav-pills > li.active > a,
.nav-pills > li.active > a:hover,
.nav-pills > li.active > a:focus {
color: #fff;
background-color: #337ab7;
}
.nav-stacked > li {
float: none;
}
.nav-stacked > li + li {
margin-top: 2px;
margin-left: 0;
}
.nav-justified {
width: 100%;
}
.nav-justified > li {
float: none;
}
.nav-justified > li > a {
text-align: center;
margin-bottom: 5px;
}
.nav-justified > .dropdown .dropdown-menu {
top: auto;
left: auto;
}
@media (min-width: 768px) {
.nav-justified > li {
display: table-cell;
width: 1%;
}
.nav-justified > li > a {
margin-bottom: 0;
}
}
.nav-tabs-justified {
border-bottom: 0;
}
.nav-tabs-justified > li > a {
margin-right: 0;
border-radius: 2px;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
border: 1px solid #ddd;
}
@media (min-width: 768px) {
.nav-tabs-justified > li > a {
border-bottom: 1px solid #ddd;
border-radius: 2px 2px 0 0;
}
.nav-tabs-justified > .active > a,
.nav-tabs-justified > .active > a:hover,
.nav-tabs-justified > .active > a:focus {
border-bottom-color: #fff;
}
}
.tab-content > .tab-pane {
display: none;
}
.tab-content > .active {
display: block;
}
.nav-tabs .dropdown-menu {
margin-top: -1px;
border-top-right-radius: 0;
border-top-left-radius: 0;
}
.navbar {
position: relative;
min-height: 30px;
margin-bottom: 18px;
border: 1px solid transparent;
}
@media (min-width: 541px) {
.navbar {
border-radius: 2px;
}
}
@media (min-width: 541px) {
.navbar-header {
float: left;
}
}
.navbar-collapse {
overflow-x: visible;
padding-right: 0px;
padding-left: 0px;
border-top: 1px solid transparent;
box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1);
-webkit-overflow-scrolling: touch;
}
.navbar-collapse.in {
overflow-y: auto;
}
@media (min-width: 541px) {
.navbar-collapse {
width: auto;
border-top: 0;
box-shadow: none;
}
.navbar-collapse.collapse {
display: block !important;
height: auto !important;
padding-bottom: 0;
overflow: visible !important;
}
.navbar-collapse.in {
overflow-y: visible;
}
.navbar-fixed-top .navbar-collapse,
.navbar-static-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
padding-left: 0;
padding-right: 0;
}
}
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
max-height: 340px;
}
@media (max-device-width: 540px) and (orientation: landscape) {
.navbar-fixed-top .navbar-collapse,
.navbar-fixed-bottom .navbar-collapse {
max-height: 200px;
}
}
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
margin-right: 0px;
margin-left: 0px;
}
@media (min-width: 541px) {
.container > .navbar-header,
.container-fluid > .navbar-header,
.container > .navbar-collapse,
.container-fluid > .navbar-collapse {
margin-right: 0;
margin-left: 0;
}
}
.navbar-static-top {
z-index: 1000;
border-width: 0 0 1px;
}
@media (min-width: 541px) {
.navbar-static-top {
border-radius: 0;
}
}
.navbar-fixed-top,
.navbar-fixed-bottom {
position: fixed;
right: 0;
left: 0;
z-index: 1030;
}
@media (min-width: 541px) {
.navbar-fixed-top,
.navbar-fixed-bottom {
border-radius: 0;
}
}
.navbar-fixed-top {
top: 0;
border-width: 0 0 1px;
}
.navbar-fixed-bottom {
bottom: 0;
margin-bottom: 0;
border-width: 1px 0 0;
}
.navbar-brand {
float: left;
padding: 6px 0px;
font-size: 17px;
line-height: 18px;
height: 30px;
}
.navbar-brand:hover,
.navbar-brand:focus {
text-decoration: none;
}
.navbar-brand > img {
display: block;
}
@media (min-width: 541px) {
.navbar > .container .navbar-brand,
.navbar > .container-fluid .navbar-brand {
margin-left: 0px;
}
}
.navbar-toggle {
position: relative;
float: right;
margin-right: 0px;
padding: 9px 10px;
margin-top: -2px;
margin-bottom: -2px;
background-color: transparent;
background-image: none;
border: 1px solid transparent;
border-radius: 2px;
}
.navbar-toggle:focus {
outline: 0;
}
.navbar-toggle .icon-bar {
display: block;
width: 22px;
height: 2px;
border-radius: 1px;
}
.navbar-toggle .icon-bar + .icon-bar {
margin-top: 4px;
}
@media (min-width: 541px) {
.navbar-toggle {
display: none;
}
}
.navbar-nav {
margin: 3px 0px;
}
.navbar-nav > li > a {
padding-top: 10px;
padding-bottom: 10px;
line-height: 18px;
}
@media (max-width: 540px) {
.navbar-nav .open .dropdown-menu {
position: static;
float: none;
width: auto;
margin-top: 0;
background-color: transparent;
border: 0;
box-shadow: none;
}
.navbar-nav .open .dropdown-menu > li > a,
.navbar-nav .open .dropdown-menu .dropdown-header {
padding: 5px 15px 5px 25px;
}
.navbar-nav .open .dropdown-menu > li > a {
line-height: 18px;
}
.navbar-nav .open .dropdown-menu > li > a:hover,
.navbar-nav .open .dropdown-menu > li > a:focus {
background-image: none;
}
}
@media (min-width: 541px) {
.navbar-nav {
float: left;
margin: 0;
}
.navbar-nav > li {
float: left;
}
.navbar-nav > li > a {
padding-top: 6px;
padding-bottom: 6px;
}
}
.navbar-form {
margin-left: 0px;
margin-right: 0px;
padding: 10px 0px;
border-top: 1px solid transparent;
border-bottom: 1px solid transparent;
-webkit-box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.1), 0 1px 0 rgba(255, 255, 255, 0.1);
margin-top: -1px;
margin-bottom: -1px;
}
@media (min-width: 768px) {
.navbar-form .form-group {
display: inline-block;
margin-bottom: 0;
vertical-align: middle;
}
.navbar-form .form-control {
display: inline-block;
width: auto;
vertical-align: middle;
}
.navbar-form .form-control-static {
display: inline-block;
}
.navbar-form .input-group {
display: inline-table;
vertical-align: middle;
}
.navbar-form .input-group .input-group-addon,
.navbar-form .input-group .input-group-btn,
.navbar-form .input-group .form-control {
width: auto;
}
.navbar-form .input-group > .form-control {
width: 100%;
}
.navbar-form .control-label {
margin-bottom: 0;
vertical-align: middle;
}
.navbar-form .radio,
.navbar-form .checkbox {
display: inline-block;
margin-top: 0;
margin-bottom: 0;
vertical-align: middle;
}
.navbar-form .radio label,
.navbar-form .checkbox label {
padding-left: 0;
}
.navbar-form .radio input[type="radio"],
.navbar-form .checkbox input[type="checkbox"] {
position: relative;
margin-left: 0;
}
.navbar-form .has-feedback .form-control-feedback {
top: 0;
}
}
@media (max-width: 540px) {
.navbar-form .form-group {
margin-bottom: 5px;
}
.navbar-form .form-group:last-child {
margin-bottom: 0;
}
}
@media (min-width: 541px) {
.navbar-form {
width: auto;
border: 0;
margin-left: 0;
margin-right: 0;
padding-top: 0;
padding-bottom: 0;
-webkit-box-shadow: none;
box-shadow: none;
}
}
.navbar-nav > li > .dropdown-menu {
margin-top: 0;
border-top-right-radius: 0;
border-top-left-radius: 0;
}
.navbar-fixed-bottom .navbar-nav > li > .dropdown-menu {
margin-bottom: 0;
border-top-right-radius: 2px;
border-top-left-radius: 2px;
border-bottom-right-radius: 0;
border-bottom-left-radius: 0;
}
.navbar-btn {
margin-top: -1px;
margin-bottom: -1px;
}
.navbar-btn.btn-sm {
margin-top: 0px;
margin-bottom: 0px;
}
.navbar-btn.btn-xs {
margin-top: 4px;
margin-bottom: 4px;
}
.navbar-text {
margin-top: 6px;
margin-bottom: 6px;
}
@media (min-width: 541px) {
.navbar-text {
float: left;
margin-left: 0px;
margin-right: 0px;
}
}
@media (min-width: 541px) {
.navbar-left {
float: left !important;
float: left;
}
.navbar-right {
float: right !important;
float: right;
margin-right: 0px;
}
.navbar-right ~ .navbar-right {
margin-right: 0;
}
}
.navbar-default {
background-color: #f8f8f8;
border-color: #e7e7e7;
}
.navbar-default .navbar-brand {
color: #777;
}
.navbar-default .navbar-brand:hover,
.navbar-default .navbar-brand:focus {
color: #5e5e5e;
background-color: transparent;
}
.navbar-default .navbar-text {
color: #777;
}
.navbar-default .navbar-nav > li > a {
color: #777;
}
.navbar-default .navbar-nav > li > a:hover,
.navbar-default .navbar-nav > li > a:focus {
color: #333;
background-color: transparent;
}
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
color: #555;
background-color: #e7e7e7;
}
.navbar-default .navbar-nav > .disabled > a,
.navbar-default .navbar-nav > .disabled > a:hover,
.navbar-default .navbar-nav > .disabled > a:focus {
color: #ccc;
background-color: transparent;
}
.navbar-default .navbar-toggle {
border-color: #ddd;
}
.navbar-default .navbar-toggle:hover,
.navbar-default .navbar-toggle:focus {
background-color: #ddd;
}
.navbar-default .navbar-toggle .icon-bar {
background-color: #888;
}
.navbar-default .navbar-collapse,
.navbar-default .navbar-form {
border-color: #e7e7e7;
}
.navbar-default .navbar-nav > .open > a,
.navbar-default .navbar-nav > .open > a:hover,
.navbar-default .navbar-nav > .open > a:focus {
background-color: #e7e7e7;
color: #555;
}
@media (max-width: 540px) {
.navbar-default .navbar-nav .open .dropdown-menu > li > a {
color: #777;
}
.navbar-default .navbar-nav .open .dropdown-menu > li > a:hover,
.navbar-default .navbar-nav .open .dropdown-menu > li > a:focus {
color: #333;
background-color: transparent;
}
.navbar-default .navbar-nav .open .dropdown-menu > .active > a,
.navbar-default .navbar-nav .open .dropdown-menu > .active > a:hover,
.navbar-default .navbar-nav .open .dropdown-menu > .active > a:focus {
color: #555;
background-color: #e7e7e7;
}
.navbar-default .navbar-nav .open .dropdown-menu > .disabled > a,
.navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:hover,
.navbar-default .navbar-nav .open .dropdown-menu > .disabled > a:focus {
color: #ccc;
background-color: transparent;
}
}
.navbar-default .navbar-link {
color: #777;
}
.navbar-default .navbar-link:hover {
color: #333;
}
.navbar-default .btn-link {
color: #777;
}
.navbar-default .btn-link:hover,
.navbar-default .btn-link:focus {
color: #333;
}
.navbar-default .btn-link[disabled]:hover,
fieldset[disabled] .navbar-default .btn-link:hover,
.navbar-default .btn-link[disabled]:focus,
fieldset[disabled] .navbar-default .btn-link:focus {
color: #ccc;
}
.navbar-inverse {
background-color: #222;
border-color: #080808;
}
.navbar-inverse .navbar-brand {
color: #9d9d9d;
}
.navbar-inverse .navbar-brand:hover,
.navbar-inverse .navbar-brand:focus {
color: #fff;
background-color: transparent;
}
.navbar-inverse .navbar-text {
color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a {
color: #9d9d9d;
}
.navbar-inverse .navbar-nav > li > a:hover,
.navbar-inverse .navbar-nav > li > a:focus {
color: #fff;
background-color: transparent;
}
.navbar-inverse .navbar-nav > .active > a,
.navbar-inverse .navbar-nav > .active > a:hover,
.navbar-inverse .navbar-nav > .active > a:focus {
color: #fff;
background-color: #080808;
}
.navbar-inverse .navbar-nav > .disabled > a,
.navbar-inverse .navbar-nav > .disabled > a:hover,
.navbar-inverse .navbar-nav > .disabled > a:focus {
color: #444;
background-color: transparent;
}
.navbar-inverse .navbar-toggle {
border-color: #333;
}
.navbar-inverse .navbar-toggle:hover,
.navbar-inverse .navbar-toggle:focus {
background-color: #333;
}
.navbar-inverse .navbar-toggle .icon-bar {
background-color: #fff;
}
.navbar-inverse .navbar-collapse,
.navbar-inverse .navbar-form {
border-color: #101010;
}
.navbar-inverse .navbar-nav > .open > a,
.navbar-inverse .navbar-nav > .open > a:hover,
.navbar-inverse .navbar-nav > .open > a:focus {
background-color: #080808;
color: #fff;
}
@media (max-width: 540px) {
.navbar-inverse .navbar-nav .open .dropdown-menu > .dropdown-header {
border-color: #080808;
}
.navbar-inverse .navbar-nav .open .dropdown-menu .divider {
background-color: #080808;
}
.navbar-inverse .navbar-nav .open .dropdown-menu > li > a {
color: #9d9d9d;
}
.navbar-inverse .navbar-nav .open .dropdown-menu > li > a:hover,
.navbar-inverse .navbar-nav .open .dropdown-menu > li > a:focus {
color: #fff;
background-color: transparent;
}
.navbar-inverse .navbar-nav .open .dropdown-menu > .active > a,
.navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:hover,
.navbar-inverse .navbar-nav .open .dropdown-menu > .active > a:focus {
color: #fff;
background-color: #080808;
}
.navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a,
.navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:hover,
.navbar-inverse .navbar-nav .open .dropdown-menu > .disabled > a:focus {
color: #444;
background-color: transparent;
}
}
.navbar-inverse .navbar-link {
color: #9d9d9d;
}
.navbar-inverse .navbar-link:hover {
color: #fff;
}
.navbar-inverse .btn-link {
color: #9d9d9d;
}
.navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link:focus {
color: #fff;
}
.navbar-inverse .btn-link[disabled]:hover,
fieldset[disabled] .navbar-inverse .btn-link:hover,
.navbar-inverse .btn-link[disabled]:focus,
fieldset[disabled] .navbar-inverse .btn-link:focus {
color: #444;
}
.breadcrumb {
padding: 8px 15px;
margin-bottom: 18px;
list-style: none;
background-color: #f5f5f5;
border-radius: 2px;
}
.breadcrumb > li {
display: inline-block;
}
.breadcrumb > li + li:before {
content: "/\00a0";
padding: 0 5px;
color: #5e5e5e;
}
.breadcrumb > .active {
color: #777777;
}
.pagination {
display: inline-block;
padding-left: 0;
margin: 18px 0;
border-radius: 2px;
}
.pagination > li {
display: inline;
}
.pagination > li > a,
.pagination > li > span {
position: relative;
float: left;
padding: 6px 12px;
line-height: 1.42857143;
text-decoration: none;
color: #337ab7;
background-color: #fff;
border: 1px solid #ddd;
margin-left: -1px;
}
.pagination > li:first-child > a,
.pagination > li:first-child > span {
margin-left: 0;
border-bottom-left-radius: 2px;
border-top-left-radius: 2px;
}
.pagination > li:last-child > a,
.pagination > li:last-child > span {
border-bottom-right-radius: 2px;
border-top-right-radius: 2px;
}
.pagination > li > a:hover,
.pagination > li > span:hover,
.pagination > li > a:focus,
.pagination > li > span:focus {
z-index: 2;
color: #23527c;
background-color: #eeeeee;
border-color: #ddd;
}
.pagination > .active > a,
.pagination > .active > span,
.pagination > .active > a:hover,
.pagination > .active > span:hover,
.pagination > .active > a:focus,
.pagination > .active > span:focus {
z-index: 3;
color: #fff;
background-color: #337ab7;
border-color: #337ab7;
cursor: default;
}
.pagination > .disabled > span,
.pagination > .disabled > span:hover,
.pagination > .disabled > span:focus,
.pagination > .disabled > a,
.pagination > .disabled > a:hover,
.pagination > .disabled > a:focus {
color: #777777;
background-color: #fff;
border-color: #ddd;
cursor: not-allowed;
}
.pagination-lg > li > a,
.pagination-lg > li > span {
padding: 10px 16px;
font-size: 17px;
line-height: 1.3333333;
}
.pagination-lg > li:first-child > a,
.pagination-lg > li:first-child > span {
border-bottom-left-radius: 3px;
border-top-left-radius: 3px;
}
.pagination-lg > li:last-child > a,
.pagination-lg > li:last-child > span {
border-bottom-right-radius: 3px;
border-top-right-radius: 3px;
}
.pagination-sm > li > a,
.pagination-sm > li > span {
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
}
.pagination-sm > li:first-child > a,
.pagination-sm > li:first-child > span {
border-bottom-left-radius: 1px;
border-top-left-radius: 1px;
}
.pagination-sm > li:last-child > a,
.pagination-sm > li:last-child > span {
border-bottom-right-radius: 1px;
border-top-right-radius: 1px;
}
.pager {
padding-left: 0;
margin: 18px 0;
list-style: none;
text-align: center;
}
.pager li {
display: inline;
}
.pager li > a,
.pager li > span {
display: inline-block;
padding: 5px 14px;
background-color: #fff;
border: 1px solid #ddd;
border-radius: 15px;
}
.pager li > a:hover,
.pager li > a:focus {
text-decoration: none;
background-color: #eeeeee;
}
.pager .next > a,
.pager .next > span {
float: right;
}
.pager .previous > a,
.pager .previous > span {
float: left;
}
.pager .disabled > a,
.pager .disabled > a:hover,
.pager .disabled > a:focus,
.pager .disabled > span {
color: #777777;
background-color: #fff;
cursor: not-allowed;
}
.label {
display: inline;
padding: .2em .6em .3em;
font-size: 75%;
font-weight: bold;
line-height: 1;
color: #fff;
text-align: center;
white-space: nowrap;
vertical-align: baseline;
border-radius: .25em;
}
a.label:hover,
a.label:focus {
color: #fff;
text-decoration: none;
cursor: pointer;
}
.label:empty {
display: none;
}
.btn .label {
position: relative;
top: -1px;
}
.label-default {
background-color: #777777;
}
.label-default[href]:hover,
.label-default[href]:focus {
background-color: #5e5e5e;
}
.label-primary {
background-color: #337ab7;
}
.label-primary[href]:hover,
.label-primary[href]:focus {
background-color: #286090;
}
.label-success {
background-color: #5cb85c;
}
.label-success[href]:hover,
.label-success[href]:focus {
background-color: #449d44;
}
.label-info {
background-color: #5bc0de;
}
.label-info[href]:hover,
.label-info[href]:focus {
background-color: #31b0d5;
}
.label-warning {
background-color: #f0ad4e;
}
.label-warning[href]:hover,
.label-warning[href]:focus {
background-color: #ec971f;
}
.label-danger {
background-color: #d9534f;
}
.label-danger[href]:hover,
.label-danger[href]:focus {
background-color: #c9302c;
}
.badge {
display: inline-block;
min-width: 10px;
padding: 3px 7px;
font-size: 12px;
font-weight: bold;
color: #fff;
line-height: 1;
vertical-align: middle;
white-space: nowrap;
text-align: center;
background-color: #777777;
border-radius: 10px;
}
.badge:empty {
display: none;
}
.btn .badge {
position: relative;
top: -1px;
}
.btn-xs .badge,
.btn-group-xs > .btn .badge {
top: 0;
padding: 1px 5px;
}
a.badge:hover,
a.badge:focus {
color: #fff;
text-decoration: none;
cursor: pointer;
}
.list-group-item.active > .badge,
.nav-pills > .active > a > .badge {
color: #337ab7;
background-color: #fff;
}
.list-group-item > .badge {
float: right;
}
.list-group-item > .badge + .badge {
margin-right: 5px;
}
.nav-pills > li > a > .badge {
margin-left: 3px;
}
.jumbotron {
padding-top: 30px;
padding-bottom: 30px;
margin-bottom: 30px;
color: inherit;
background-color: #eeeeee;
}
.jumbotron h1,
.jumbotron .h1 {
color: inherit;
}
.jumbotron p {
margin-bottom: 15px;
font-size: 20px;
font-weight: 200;
}
.jumbotron > hr {
border-top-color: #d5d5d5;
}
.container .jumbotron,
.container-fluid .jumbotron {
border-radius: 3px;
padding-left: 0px;
padding-right: 0px;
}
.jumbotron .container {
max-width: 100%;
}
@media screen and (min-width: 768px) {
.jumbotron {
padding-top: 48px;
padding-bottom: 48px;
}
.container .jumbotron,
.container-fluid .jumbotron {
padding-left: 60px;
padding-right: 60px;
}
.jumbotron h1,
.jumbotron .h1 {
font-size: 59px;
}
}
.thumbnail {
display: block;
padding: 4px;
margin-bottom: 18px;
line-height: 1.42857143;
background-color: #fff;
border: 1px solid #ddd;
border-radius: 2px;
-webkit-transition: border 0.2s ease-in-out;
-o-transition: border 0.2s ease-in-out;
transition: border 0.2s ease-in-out;
}
.thumbnail > img,
.thumbnail a > img {
margin-left: auto;
margin-right: auto;
}
a.thumbnail:hover,
a.thumbnail:focus,
a.thumbnail.active {
border-color: #337ab7;
}
.thumbnail .caption {
padding: 9px;
color: #000;
}
.alert {
padding: 15px;
margin-bottom: 18px;
border: 1px solid transparent;
border-radius: 2px;
}
.alert h4 {
margin-top: 0;
color: inherit;
}
.alert .alert-link {
font-weight: bold;
}
.alert > p,
.alert > ul {
margin-bottom: 0;
}
.alert > p + p {
margin-top: 5px;
}
.alert-dismissable,
.alert-dismissible {
padding-right: 35px;
}
.alert-dismissable .close,
.alert-dismissible .close {
position: relative;
top: -2px;
right: -21px;
color: inherit;
}
.alert-success {
background-color: #dff0d8;
border-color: #d6e9c6;
color: #3c763d;
}
.alert-success hr {
border-top-color: #c9e2b3;
}
.alert-success .alert-link {
color: #2b542c;
}
.alert-info {
background-color: #d9edf7;
border-color: #bce8f1;
color: #31708f;
}
.alert-info hr {
border-top-color: #a6e1ec;
}
.alert-info .alert-link {
color: #245269;
}
.alert-warning {
background-color: #fcf8e3;
border-color: #faebcc;
color: #8a6d3b;
}
.alert-warning hr {
border-top-color: #f7e1b5;
}
.alert-warning .alert-link {
color: #66512c;
}
.alert-danger {
background-color: #f2dede;
border-color: #ebccd1;
color: #a94442;
}
.alert-danger hr {
border-top-color: #e4b9c0;
}
.alert-danger .alert-link {
color: #843534;
}
@-webkit-keyframes progress-bar-stripes {
from {
background-position: 40px 0;
}
to {
background-position: 0 0;
}
}
@keyframes progress-bar-stripes {
from {
background-position: 40px 0;
}
to {
background-position: 0 0;
}
}
.progress {
overflow: hidden;
height: 18px;
margin-bottom: 18px;
background-color: #f5f5f5;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
box-shadow: inset 0 1px 2px rgba(0, 0, 0, 0.1);
}
.progress-bar {
float: left;
width: 0%;
height: 100%;
font-size: 12px;
line-height: 18px;
color: #fff;
text-align: center;
background-color: #337ab7;
-webkit-box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.15);
-webkit-transition: width 0.6s ease;
-o-transition: width 0.6s ease;
transition: width 0.6s ease;
}
.progress-striped .progress-bar,
.progress-bar-striped {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-size: 40px 40px;
}
.progress.active .progress-bar,
.progress-bar.active {
-webkit-animation: progress-bar-stripes 2s linear infinite;
-o-animation: progress-bar-stripes 2s linear infinite;
animation: progress-bar-stripes 2s linear infinite;
}
.progress-bar-success {
background-color: #5cb85c;
}
.progress-striped .progress-bar-success {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-info {
background-color: #5bc0de;
}
.progress-striped .progress-bar-info {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-warning {
background-color: #f0ad4e;
}
.progress-striped .progress-bar-warning {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.progress-bar-danger {
background-color: #d9534f;
}
.progress-striped .progress-bar-danger {
background-image: -webkit-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: -o-linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
background-image: linear-gradient(45deg, rgba(255, 255, 255, 0.15) 25%, transparent 25%, transparent 50%, rgba(255, 255, 255, 0.15) 50%, rgba(255, 255, 255, 0.15) 75%, transparent 75%, transparent);
}
.media {
margin-top: 15px;
}
.media:first-child {
margin-top: 0;
}
.media,
.media-body {
zoom: 1;
overflow: hidden;
}
.media-body {
width: 10000px;
}
.media-object {
display: block;
}
.media-object.img-thumbnail {
max-width: none;
}
.media-right,
.media > .pull-right {
padding-left: 10px;
}
.media-left,
.media > .pull-left {
padding-right: 10px;
}
.media-left,
.media-right,
.media-body {
display: table-cell;
vertical-align: top;
}
.media-middle {
vertical-align: middle;
}
.media-bottom {
vertical-align: bottom;
}
.media-heading {
margin-top: 0;
margin-bottom: 5px;
}
.media-list {
padding-left: 0;
list-style: none;
}
.list-group {
margin-bottom: 20px;
padding-left: 0;
}
.list-group-item {
position: relative;
display: block;
padding: 10px 15px;
margin-bottom: -1px;
background-color: #fff;
border: 1px solid #ddd;
}
.list-group-item:first-child {
border-top-right-radius: 2px;
border-top-left-radius: 2px;
}
.list-group-item:last-child {
margin-bottom: 0;
border-bottom-right-radius: 2px;
border-bottom-left-radius: 2px;
}
a.list-group-item,
button.list-group-item {
color: #555;
}
a.list-group-item .list-group-item-heading,
button.list-group-item .list-group-item-heading {
color: #333;
}
a.list-group-item:hover,
button.list-group-item:hover,
a.list-group-item:focus,
button.list-group-item:focus {
text-decoration: none;
color: #555;
background-color: #f5f5f5;
}
button.list-group-item {
width: 100%;
text-align: left;
}
.list-group-item.disabled,
.list-group-item.disabled:hover,
.list-group-item.disabled:focus {
background-color: #eeeeee;
color: #777777;
cursor: not-allowed;
}
.list-group-item.disabled .list-group-item-heading,
.list-group-item.disabled:hover .list-group-item-heading,
.list-group-item.disabled:focus .list-group-item-heading {
color: inherit;
}
.list-group-item.disabled .list-group-item-text,
.list-group-item.disabled:hover .list-group-item-text,
.list-group-item.disabled:focus .list-group-item-text {
color: #777777;
}
.list-group-item.active,
.list-group-item.active:hover,
.list-group-item.active:focus {
z-index: 2;
color: #fff;
background-color: #337ab7;
border-color: #337ab7;
}
.list-group-item.active .list-group-item-heading,
.list-group-item.active:hover .list-group-item-heading,
.list-group-item.active:focus .list-group-item-heading,
.list-group-item.active .list-group-item-heading > small,
.list-group-item.active:hover .list-group-item-heading > small,
.list-group-item.active:focus .list-group-item-heading > small,
.list-group-item.active .list-group-item-heading > .small,
.list-group-item.active:hover .list-group-item-heading > .small,
.list-group-item.active:focus .list-group-item-heading > .small {
color: inherit;
}
.list-group-item.active .list-group-item-text,
.list-group-item.active:hover .list-group-item-text,
.list-group-item.active:focus .list-group-item-text {
color: #c7ddef;
}
.list-group-item-success {
color: #3c763d;
background-color: #dff0d8;
}
a.list-group-item-success,
button.list-group-item-success {
color: #3c763d;
}
a.list-group-item-success .list-group-item-heading,
button.list-group-item-success .list-group-item-heading {
color: inherit;
}
a.list-group-item-success:hover,
button.list-group-item-success:hover,
a.list-group-item-success:focus,
button.list-group-item-success:focus {
color: #3c763d;
background-color: #d0e9c6;
}
a.list-group-item-success.active,
button.list-group-item-success.active,
a.list-group-item-success.active:hover,
button.list-group-item-success.active:hover,
a.list-group-item-success.active:focus,
button.list-group-item-success.active:focus {
color: #fff;
background-color: #3c763d;
border-color: #3c763d;
}
.list-group-item-info {
color: #31708f;
background-color: #d9edf7;
}
a.list-group-item-info,
button.list-group-item-info {
color: #31708f;
}
a.list-group-item-info .list-group-item-heading,
button.list-group-item-info .list-group-item-heading {
color: inherit;
}
a.list-group-item-info:hover,
button.list-group-item-info:hover,
a.list-group-item-info:focus,
button.list-group-item-info:focus {
color: #31708f;
background-color: #c4e3f3;
}
a.list-group-item-info.active,
button.list-group-item-info.active,
a.list-group-item-info.active:hover,
button.list-group-item-info.active:hover,
a.list-group-item-info.active:focus,
button.list-group-item-info.active:focus {
color: #fff;
background-color: #31708f;
border-color: #31708f;
}
.list-group-item-warning {
color: #8a6d3b;
background-color: #fcf8e3;
}
a.list-group-item-warning,
button.list-group-item-warning {
color: #8a6d3b;
}
a.list-group-item-warning .list-group-item-heading,
button.list-group-item-warning .list-group-item-heading {
color: inherit;
}
a.list-group-item-warning:hover,
button.list-group-item-warning:hover,
a.list-group-item-warning:focus,
button.list-group-item-warning:focus {
color: #8a6d3b;
background-color: #faf2cc;
}
a.list-group-item-warning.active,
button.list-group-item-warning.active,
a.list-group-item-warning.active:hover,
button.list-group-item-warning.active:hover,
a.list-group-item-warning.active:focus,
button.list-group-item-warning.active:focus {
color: #fff;
background-color: #8a6d3b;
border-color: #8a6d3b;
}
.list-group-item-danger {
color: #a94442;
background-color: #f2dede;
}
a.list-group-item-danger,
button.list-group-item-danger {
color: #a94442;
}
a.list-group-item-danger .list-group-item-heading,
button.list-group-item-danger .list-group-item-heading {
color: inherit;
}
a.list-group-item-danger:hover,
button.list-group-item-danger:hover,
a.list-group-item-danger:focus,
button.list-group-item-danger:focus {
color: #a94442;
background-color: #ebcccc;
}
a.list-group-item-danger.active,
button.list-group-item-danger.active,
a.list-group-item-danger.active:hover,
button.list-group-item-danger.active:hover,
a.list-group-item-danger.active:focus,
button.list-group-item-danger.active:focus {
color: #fff;
background-color: #a94442;
border-color: #a94442;
}
.list-group-item-heading {
margin-top: 0;
margin-bottom: 5px;
}
.list-group-item-text {
margin-bottom: 0;
line-height: 1.3;
}
.panel {
margin-bottom: 18px;
background-color: #fff;
border: 1px solid transparent;
border-radius: 2px;
-webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}
.panel-body {
padding: 15px;
}
.panel-heading {
padding: 10px 15px;
border-bottom: 1px solid transparent;
border-top-right-radius: 1px;
border-top-left-radius: 1px;
}
.panel-heading > .dropdown .dropdown-toggle {
color: inherit;
}
.panel-title {
margin-top: 0;
margin-bottom: 0;
font-size: 15px;
color: inherit;
}
.panel-title > a,
.panel-title > small,
.panel-title > .small,
.panel-title > small > a,
.panel-title > .small > a {
color: inherit;
}
.panel-footer {
padding: 10px 15px;
background-color: #f5f5f5;
border-top: 1px solid #ddd;
border-bottom-right-radius: 1px;
border-bottom-left-radius: 1px;
}
.panel > .list-group,
.panel > .panel-collapse > .list-group {
margin-bottom: 0;
}
.panel > .list-group .list-group-item,
.panel > .panel-collapse > .list-group .list-group-item {
border-width: 1px 0;
border-radius: 0;
}
.panel > .list-group:first-child .list-group-item:first-child,
.panel > .panel-collapse > .list-group:first-child .list-group-item:first-child {
border-top: 0;
border-top-right-radius: 1px;
border-top-left-radius: 1px;
}
.panel > .list-group:last-child .list-group-item:last-child,
.panel > .panel-collapse > .list-group:last-child .list-group-item:last-child {
border-bottom: 0;
border-bottom-right-radius: 1px;
border-bottom-left-radius: 1px;
}
.panel > .panel-heading + .panel-collapse > .list-group .list-group-item:first-child {
border-top-right-radius: 0;
border-top-left-radius: 0;
}
.panel-heading + .list-group .list-group-item:first-child {
border-top-width: 0;
}
.list-group + .panel-footer {
border-top-width: 0;
}
.panel > .table,
.panel > .table-responsive > .table,
.panel > .panel-collapse > .table {
margin-bottom: 0;
}
.panel > .table caption,
.panel > .table-responsive > .table caption,
.panel > .panel-collapse > .table caption {
padding-left: 15px;
padding-right: 15px;
}
.panel > .table:first-child,
.panel > .table-responsive:first-child > .table:first-child {
border-top-right-radius: 1px;
border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child {
border-top-left-radius: 1px;
border-top-right-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:first-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:first-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:first-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:first-child {
border-top-left-radius: 1px;
}
.panel > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child td:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child td:last-child,
.panel > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > thead:first-child > tr:first-child th:last-child,
.panel > .table:first-child > tbody:first-child > tr:first-child th:last-child,
.panel > .table-responsive:first-child > .table:first-child > tbody:first-child > tr:first-child th:last-child {
border-top-right-radius: 1px;
}
.panel > .table:last-child,
.panel > .table-responsive:last-child > .table:last-child {
border-bottom-right-radius: 1px;
border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child {
border-bottom-left-radius: 1px;
border-bottom-right-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:first-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:first-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:first-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:first-child {
border-bottom-left-radius: 1px;
}
.panel > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child td:last-child,
.panel > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tbody:last-child > tr:last-child th:last-child,
.panel > .table:last-child > tfoot:last-child > tr:last-child th:last-child,
.panel > .table-responsive:last-child > .table:last-child > tfoot:last-child > tr:last-child th:last-child {
border-bottom-right-radius: 1px;
}
.panel > .panel-body + .table,
.panel > .panel-body + .table-responsive,
.panel > .table + .panel-body,
.panel > .table-responsive + .panel-body {
border-top: 1px solid #ddd;
}
.panel > .table > tbody:first-child > tr:first-child th,
.panel > .table > tbody:first-child > tr:first-child td {
border-top: 0;
}
.panel > .table-bordered,
.panel > .table-responsive > .table-bordered {
border: 0;
}
.panel > .table-bordered > thead > tr > th:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:first-child,
.panel > .table-bordered > tbody > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:first-child,
.panel > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:first-child,
.panel > .table-bordered > thead > tr > td:first-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:first-child,
.panel > .table-bordered > tbody > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:first-child,
.panel > .table-bordered > tfoot > tr > td:first-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:first-child {
border-left: 0;
}
.panel > .table-bordered > thead > tr > th:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > th:last-child,
.panel > .table-bordered > tbody > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > th:last-child,
.panel > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > th:last-child,
.panel > .table-bordered > thead > tr > td:last-child,
.panel > .table-responsive > .table-bordered > thead > tr > td:last-child,
.panel > .table-bordered > tbody > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tbody > tr > td:last-child,
.panel > .table-bordered > tfoot > tr > td:last-child,
.panel > .table-responsive > .table-bordered > tfoot > tr > td:last-child {
border-right: 0;
}
.panel > .table-bordered > thead > tr:first-child > td,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > td,
.panel > .table-bordered > tbody > tr:first-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > td,
.panel > .table-bordered > thead > tr:first-child > th,
.panel > .table-responsive > .table-bordered > thead > tr:first-child > th,
.panel > .table-bordered > tbody > tr:first-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:first-child > th {
border-bottom: 0;
}
.panel > .table-bordered > tbody > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > td,
.panel > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > td,
.panel > .table-bordered > tbody > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tbody > tr:last-child > th,
.panel > .table-bordered > tfoot > tr:last-child > th,
.panel > .table-responsive > .table-bordered > tfoot > tr:last-child > th {
border-bottom: 0;
}
.panel > .table-responsive {
border: 0;
margin-bottom: 0;
}
.panel-group {
margin-bottom: 18px;
}
.panel-group .panel {
margin-bottom: 0;
border-radius: 2px;
}
.panel-group .panel + .panel {
margin-top: 5px;
}
.panel-group .panel-heading {
border-bottom: 0;
}
.panel-group .panel-heading + .panel-collapse > .panel-body,
.panel-group .panel-heading + .panel-collapse > .list-group {
border-top: 1px solid #ddd;
}
.panel-group .panel-footer {
border-top: 0;
}
.panel-group .panel-footer + .panel-collapse .panel-body {
border-bottom: 1px solid #ddd;
}
.panel-default {
border-color: #ddd;
}
.panel-default > .panel-heading {
color: #333333;
background-color: #f5f5f5;
border-color: #ddd;
}
.panel-default > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #ddd;
}
.panel-default > .panel-heading .badge {
color: #f5f5f5;
background-color: #333333;
}
.panel-default > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #ddd;
}
.panel-primary {
border-color: #337ab7;
}
.panel-primary > .panel-heading {
color: #fff;
background-color: #337ab7;
border-color: #337ab7;
}
.panel-primary > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #337ab7;
}
.panel-primary > .panel-heading .badge {
color: #337ab7;
background-color: #fff;
}
.panel-primary > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #337ab7;
}
.panel-success {
border-color: #d6e9c6;
}
.panel-success > .panel-heading {
color: #3c763d;
background-color: #dff0d8;
border-color: #d6e9c6;
}
.panel-success > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #d6e9c6;
}
.panel-success > .panel-heading .badge {
color: #dff0d8;
background-color: #3c763d;
}
.panel-success > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #d6e9c6;
}
.panel-info {
border-color: #bce8f1;
}
.panel-info > .panel-heading {
color: #31708f;
background-color: #d9edf7;
border-color: #bce8f1;
}
.panel-info > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #bce8f1;
}
.panel-info > .panel-heading .badge {
color: #d9edf7;
background-color: #31708f;
}
.panel-info > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #bce8f1;
}
.panel-warning {
border-color: #faebcc;
}
.panel-warning > .panel-heading {
color: #8a6d3b;
background-color: #fcf8e3;
border-color: #faebcc;
}
.panel-warning > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #faebcc;
}
.panel-warning > .panel-heading .badge {
color: #fcf8e3;
background-color: #8a6d3b;
}
.panel-warning > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #faebcc;
}
.panel-danger {
border-color: #ebccd1;
}
.panel-danger > .panel-heading {
color: #a94442;
background-color: #f2dede;
border-color: #ebccd1;
}
.panel-danger > .panel-heading + .panel-collapse > .panel-body {
border-top-color: #ebccd1;
}
.panel-danger > .panel-heading .badge {
color: #f2dede;
background-color: #a94442;
}
.panel-danger > .panel-footer + .panel-collapse > .panel-body {
border-bottom-color: #ebccd1;
}
.embed-responsive {
position: relative;
display: block;
height: 0;
padding: 0;
overflow: hidden;
}
.embed-responsive .embed-responsive-item,
.embed-responsive iframe,
.embed-responsive embed,
.embed-responsive object,
.embed-responsive video {
position: absolute;
top: 0;
left: 0;
bottom: 0;
height: 100%;
width: 100%;
border: 0;
}
.embed-responsive-16by9 {
padding-bottom: 56.25%;
}
.embed-responsive-4by3 {
padding-bottom: 75%;
}
.well {
min-height: 20px;
padding: 19px;
margin-bottom: 20px;
background-color: #f5f5f5;
border: 1px solid #e3e3e3;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05);
}
.well blockquote {
border-color: #ddd;
border-color: rgba(0, 0, 0, 0.15);
}
.well-lg {
padding: 24px;
border-radius: 3px;
}
.well-sm {
padding: 9px;
border-radius: 1px;
}
.close {
float: right;
font-size: 19.5px;
font-weight: bold;
line-height: 1;
color: #000;
text-shadow: 0 1px 0 #fff;
opacity: 0.2;
filter: alpha(opacity=20);
}
.close:hover,
.close:focus {
color: #000;
text-decoration: none;
cursor: pointer;
opacity: 0.5;
filter: alpha(opacity=50);
}
button.close {
padding: 0;
cursor: pointer;
background: transparent;
border: 0;
-webkit-appearance: none;
}
.modal-open {
overflow: hidden;
}
.modal {
display: none;
overflow: hidden;
position: fixed;
top: 0;
right: 0;
bottom: 0;
left: 0;
z-index: 1050;
-webkit-overflow-scrolling: touch;
outline: 0;
}
.modal.fade .modal-dialog {
-webkit-transform: translate(0, -25%);
-ms-transform: translate(0, -25%);
-o-transform: translate(0, -25%);
transform: translate(0, -25%);
-webkit-transition: -webkit-transform 0.3s ease-out;
-moz-transition: -moz-transform 0.3s ease-out;
-o-transition: -o-transform 0.3s ease-out;
transition: transform 0.3s ease-out;
}
.modal.in .modal-dialog {
-webkit-transform: translate(0, 0);
-ms-transform: translate(0, 0);
-o-transform: translate(0, 0);
transform: translate(0, 0);
}
.modal-open .modal {
overflow-x: hidden;
overflow-y: auto;
}
.modal-dialog {
position: relative;
width: auto;
margin: 10px;
}
.modal-content {
position: relative;
background-color: #fff;
border: 1px solid #999;
border: 1px solid rgba(0, 0, 0, 0.2);
border-radius: 3px;
-webkit-box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
box-shadow: 0 3px 9px rgba(0, 0, 0, 0.5);
background-clip: padding-box;
outline: 0;
}
.modal-backdrop {
position: fixed;
top: 0;
right: 0;
bottom: 0;
left: 0;
z-index: 1040;
background-color: #000;
}
.modal-backdrop.fade {
opacity: 0;
filter: alpha(opacity=0);
}
.modal-backdrop.in {
opacity: 0.5;
filter: alpha(opacity=50);
}
.modal-header {
padding: 15px;
border-bottom: 1px solid #e5e5e5;
}
.modal-header .close {
margin-top: -2px;
}
.modal-title {
margin: 0;
line-height: 1.42857143;
}
.modal-body {
position: relative;
padding: 15px;
}
.modal-footer {
padding: 15px;
text-align: right;
border-top: 1px solid #e5e5e5;
}
.modal-footer .btn + .btn {
margin-left: 5px;
margin-bottom: 0;
}
.modal-footer .btn-group .btn + .btn {
margin-left: -1px;
}
.modal-footer .btn-block + .btn-block {
margin-left: 0;
}
.modal-scrollbar-measure {
position: absolute;
top: -9999px;
width: 50px;
height: 50px;
overflow: scroll;
}
@media (min-width: 768px) {
.modal-dialog {
width: 600px;
margin: 30px auto;
}
.modal-content {
-webkit-box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
box-shadow: 0 5px 15px rgba(0, 0, 0, 0.5);
}
.modal-sm {
width: 300px;
}
}
@media (min-width: 992px) {
.modal-lg {
width: 900px;
}
}
.tooltip {
position: absolute;
z-index: 1070;
display: block;
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
font-style: normal;
font-weight: normal;
letter-spacing: normal;
line-break: auto;
line-height: 1.42857143;
text-align: left;
text-align: start;
text-decoration: none;
text-shadow: none;
text-transform: none;
white-space: normal;
word-break: normal;
word-spacing: normal;
word-wrap: normal;
font-size: 12px;
opacity: 0;
filter: alpha(opacity=0);
}
.tooltip.in {
opacity: 0.9;
filter: alpha(opacity=90);
}
.tooltip.top {
margin-top: -3px;
padding: 5px 0;
}
.tooltip.right {
margin-left: 3px;
padding: 0 5px;
}
.tooltip.bottom {
margin-top: 3px;
padding: 5px 0;
}
.tooltip.left {
margin-left: -3px;
padding: 0 5px;
}
.tooltip-inner {
max-width: 200px;
padding: 3px 8px;
color: #fff;
text-align: center;
background-color: #000;
border-radius: 2px;
}
.tooltip-arrow {
position: absolute;
width: 0;
height: 0;
border-color: transparent;
border-style: solid;
}
.tooltip.top .tooltip-arrow {
bottom: 0;
left: 50%;
margin-left: -5px;
border-width: 5px 5px 0;
border-top-color: #000;
}
.tooltip.top-left .tooltip-arrow {
bottom: 0;
right: 5px;
margin-bottom: -5px;
border-width: 5px 5px 0;
border-top-color: #000;
}
.tooltip.top-right .tooltip-arrow {
bottom: 0;
left: 5px;
margin-bottom: -5px;
border-width: 5px 5px 0;
border-top-color: #000;
}
.tooltip.right .tooltip-arrow {
top: 50%;
left: 0;
margin-top: -5px;
border-width: 5px 5px 5px 0;
border-right-color: #000;
}
.tooltip.left .tooltip-arrow {
top: 50%;
right: 0;
margin-top: -5px;
border-width: 5px 0 5px 5px;
border-left-color: #000;
}
.tooltip.bottom .tooltip-arrow {
top: 0;
left: 50%;
margin-left: -5px;
border-width: 0 5px 5px;
border-bottom-color: #000;
}
.tooltip.bottom-left .tooltip-arrow {
top: 0;
right: 5px;
margin-top: -5px;
border-width: 0 5px 5px;
border-bottom-color: #000;
}
.tooltip.bottom-right .tooltip-arrow {
top: 0;
left: 5px;
margin-top: -5px;
border-width: 0 5px 5px;
border-bottom-color: #000;
}
.popover {
position: absolute;
top: 0;
left: 0;
z-index: 1060;
display: none;
max-width: 276px;
padding: 1px;
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
font-style: normal;
font-weight: normal;
letter-spacing: normal;
line-break: auto;
line-height: 1.42857143;
text-align: left;
text-align: start;
text-decoration: none;
text-shadow: none;
text-transform: none;
white-space: normal;
word-break: normal;
word-spacing: normal;
word-wrap: normal;
font-size: 13px;
background-color: #fff;
background-clip: padding-box;
border: 1px solid #ccc;
border: 1px solid rgba(0, 0, 0, 0.2);
border-radius: 3px;
-webkit-box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
box-shadow: 0 5px 10px rgba(0, 0, 0, 0.2);
}
.popover.top {
margin-top: -10px;
}
.popover.right {
margin-left: 10px;
}
.popover.bottom {
margin-top: 10px;
}
.popover.left {
margin-left: -10px;
}
.popover-title {
margin: 0;
padding: 8px 14px;
font-size: 13px;
background-color: #f7f7f7;
border-bottom: 1px solid #ebebeb;
border-radius: 2px 2px 0 0;
}
.popover-content {
padding: 9px 14px;
}
.popover > .arrow,
.popover > .arrow:after {
position: absolute;
display: block;
width: 0;
height: 0;
border-color: transparent;
border-style: solid;
}
.popover > .arrow {
border-width: 11px;
}
.popover > .arrow:after {
border-width: 10px;
content: "";
}
.popover.top > .arrow {
left: 50%;
margin-left: -11px;
border-bottom-width: 0;
border-top-color: #999999;
border-top-color: rgba(0, 0, 0, 0.25);
bottom: -11px;
}
.popover.top > .arrow:after {
content: " ";
bottom: 1px;
margin-left: -10px;
border-bottom-width: 0;
border-top-color: #fff;
}
.popover.right > .arrow {
top: 50%;
left: -11px;
margin-top: -11px;
border-left-width: 0;
border-right-color: #999999;
border-right-color: rgba(0, 0, 0, 0.25);
}
.popover.right > .arrow:after {
content: " ";
left: 1px;
bottom: -10px;
border-left-width: 0;
border-right-color: #fff;
}
.popover.bottom > .arrow {
left: 50%;
margin-left: -11px;
border-top-width: 0;
border-bottom-color: #999999;
border-bottom-color: rgba(0, 0, 0, 0.25);
top: -11px;
}
.popover.bottom > .arrow:after {
content: " ";
top: 1px;
margin-left: -10px;
border-top-width: 0;
border-bottom-color: #fff;
}
.popover.left > .arrow {
top: 50%;
right: -11px;
margin-top: -11px;
border-right-width: 0;
border-left-color: #999999;
border-left-color: rgba(0, 0, 0, 0.25);
}
.popover.left > .arrow:after {
content: " ";
right: 1px;
border-right-width: 0;
border-left-color: #fff;
bottom: -10px;
}
.carousel {
position: relative;
}
.carousel-inner {
position: relative;
overflow: hidden;
width: 100%;
}
.carousel-inner > .item {
display: none;
position: relative;
-webkit-transition: 0.6s ease-in-out left;
-o-transition: 0.6s ease-in-out left;
transition: 0.6s ease-in-out left;
}
.carousel-inner > .item > img,
.carousel-inner > .item > a > img {
line-height: 1;
}
@media all and (transform-3d), (-webkit-transform-3d) {
.carousel-inner > .item {
-webkit-transition: -webkit-transform 0.6s ease-in-out;
-moz-transition: -moz-transform 0.6s ease-in-out;
-o-transition: -o-transform 0.6s ease-in-out;
transition: transform 0.6s ease-in-out;
-webkit-backface-visibility: hidden;
-moz-backface-visibility: hidden;
backface-visibility: hidden;
-webkit-perspective: 1000px;
-moz-perspective: 1000px;
perspective: 1000px;
}
.carousel-inner > .item.next,
.carousel-inner > .item.active.right {
-webkit-transform: translate3d(100%, 0, 0);
transform: translate3d(100%, 0, 0);
left: 0;
}
.carousel-inner > .item.prev,
.carousel-inner > .item.active.left {
-webkit-transform: translate3d(-100%, 0, 0);
transform: translate3d(-100%, 0, 0);
left: 0;
}
.carousel-inner > .item.next.left,
.carousel-inner > .item.prev.right,
.carousel-inner > .item.active {
-webkit-transform: translate3d(0, 0, 0);
transform: translate3d(0, 0, 0);
left: 0;
}
}
.carousel-inner > .active,
.carousel-inner > .next,
.carousel-inner > .prev {
display: block;
}
.carousel-inner > .active {
left: 0;
}
.carousel-inner > .next,
.carousel-inner > .prev {
position: absolute;
top: 0;
width: 100%;
}
.carousel-inner > .next {
left: 100%;
}
.carousel-inner > .prev {
left: -100%;
}
.carousel-inner > .next.left,
.carousel-inner > .prev.right {
left: 0;
}
.carousel-inner > .active.left {
left: -100%;
}
.carousel-inner > .active.right {
left: 100%;
}
.carousel-control {
position: absolute;
top: 0;
left: 0;
bottom: 0;
width: 15%;
opacity: 0.5;
filter: alpha(opacity=50);
font-size: 20px;
color: #fff;
text-align: center;
text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
background-color: rgba(0, 0, 0, 0);
}
.carousel-control.left {
background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
background-image: linear-gradient(to right, rgba(0, 0, 0, 0.5) 0%, rgba(0, 0, 0, 0.0001) 100%);
background-repeat: repeat-x;
filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#80000000', endColorstr='#00000000', GradientType=1);
}
.carousel-control.right {
left: auto;
right: 0;
background-image: -webkit-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
background-image: -o-linear-gradient(left, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
background-image: linear-gradient(to right, rgba(0, 0, 0, 0.0001) 0%, rgba(0, 0, 0, 0.5) 100%);
background-repeat: repeat-x;
filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#00000000', endColorstr='#80000000', GradientType=1);
}
.carousel-control:hover,
.carousel-control:focus {
outline: 0;
color: #fff;
text-decoration: none;
opacity: 0.9;
filter: alpha(opacity=90);
}
.carousel-control .icon-prev,
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right {
position: absolute;
top: 50%;
margin-top: -10px;
z-index: 5;
display: inline-block;
}
.carousel-control .icon-prev,
.carousel-control .glyphicon-chevron-left {
left: 50%;
margin-left: -10px;
}
.carousel-control .icon-next,
.carousel-control .glyphicon-chevron-right {
right: 50%;
margin-right: -10px;
}
.carousel-control .icon-prev,
.carousel-control .icon-next {
width: 20px;
height: 20px;
line-height: 1;
font-family: serif;
}
.carousel-control .icon-prev:before {
content: '\2039';
}
.carousel-control .icon-next:before {
content: '\203a';
}
.carousel-indicators {
position: absolute;
bottom: 10px;
left: 50%;
z-index: 15;
width: 60%;
margin-left: -30%;
padding-left: 0;
list-style: none;
text-align: center;
}
.carousel-indicators li {
display: inline-block;
width: 10px;
height: 10px;
margin: 1px;
text-indent: -999px;
border: 1px solid #fff;
border-radius: 10px;
cursor: pointer;
background-color: #000 \9;
background-color: rgba(0, 0, 0, 0);
}
.carousel-indicators .active {
margin: 0;
width: 12px;
height: 12px;
background-color: #fff;
}
.carousel-caption {
position: absolute;
left: 15%;
right: 15%;
bottom: 20px;
z-index: 10;
padding-top: 20px;
padding-bottom: 20px;
color: #fff;
text-align: center;
text-shadow: 0 1px 2px rgba(0, 0, 0, 0.6);
}
.carousel-caption .btn {
text-shadow: none;
}
@media screen and (min-width: 768px) {
.carousel-control .glyphicon-chevron-left,
.carousel-control .glyphicon-chevron-right,
.carousel-control .icon-prev,
.carousel-control .icon-next {
width: 30px;
height: 30px;
margin-top: -10px;
font-size: 30px;
}
.carousel-control .glyphicon-chevron-left,
.carousel-control .icon-prev {
margin-left: -10px;
}
.carousel-control .glyphicon-chevron-right,
.carousel-control .icon-next {
margin-right: -10px;
}
.carousel-caption {
left: 20%;
right: 20%;
padding-bottom: 30px;
}
.carousel-indicators {
bottom: 20px;
}
}
.clearfix:before,
.clearfix:after,
.dl-horizontal dd:before,
.dl-horizontal dd:after,
.container:before,
.container:after,
.container-fluid:before,
.container-fluid:after,
.row:before,
.row:after,
.form-horizontal .form-group:before,
.form-horizontal .form-group:after,
.btn-toolbar:before,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:before,
.btn-group-vertical > .btn-group:after,
.nav:before,
.nav:after,
.navbar:before,
.navbar:after,
.navbar-header:before,
.navbar-header:after,
.navbar-collapse:before,
.navbar-collapse:after,
.pager:before,
.pager:after,
.panel-body:before,
.panel-body:after,
.modal-header:before,
.modal-header:after,
.modal-footer:before,
.modal-footer:after,
.item_buttons:before,
.item_buttons:after {
content: " ";
display: table;
}
.clearfix:after,
.dl-horizontal dd:after,
.container:after,
.container-fluid:after,
.row:after,
.form-horizontal .form-group:after,
.btn-toolbar:after,
.btn-group-vertical > .btn-group:after,
.nav:after,
.navbar:after,
.navbar-header:after,
.navbar-collapse:after,
.pager:after,
.panel-body:after,
.modal-header:after,
.modal-footer:after,
.item_buttons:after {
clear: both;
}
.center-block {
display: block;
margin-left: auto;
margin-right: auto;
}
.pull-right {
float: right !important;
}
.pull-left {
float: left !important;
}
.hide {
display: none !important;
}
.show {
display: block !important;
}
.invisible {
visibility: hidden;
}
.text-hide {
font: 0/0 a;
color: transparent;
text-shadow: none;
background-color: transparent;
border: 0;
}
.hidden {
display: none !important;
}
.affix {
position: fixed;
}
@-ms-viewport {
width: device-width;
}
.visible-xs,
.visible-sm,
.visible-md,
.visible-lg {
display: none !important;
}
.visible-xs-block,
.visible-xs-inline,
.visible-xs-inline-block,
.visible-sm-block,
.visible-sm-inline,
.visible-sm-inline-block,
.visible-md-block,
.visible-md-inline,
.visible-md-inline-block,
.visible-lg-block,
.visible-lg-inline,
.visible-lg-inline-block {
display: none !important;
}
@media (max-width: 767px) {
.visible-xs {
display: block !important;
}
table.visible-xs {
display: table !important;
}
tr.visible-xs {
display: table-row !important;
}
th.visible-xs,
td.visible-xs {
display: table-cell !important;
}
}
@media (max-width: 767px) {
.visible-xs-block {
display: block !important;
}
}
@media (max-width: 767px) {
.visible-xs-inline {
display: inline !important;
}
}
@media (max-width: 767px) {
.visible-xs-inline-block {
display: inline-block !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.visible-sm {
display: block !important;
}
table.visible-sm {
display: table !important;
}
tr.visible-sm {
display: table-row !important;
}
th.visible-sm,
td.visible-sm {
display: table-cell !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.visible-sm-block {
display: block !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.visible-sm-inline {
display: inline !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.visible-sm-inline-block {
display: inline-block !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.visible-md {
display: block !important;
}
table.visible-md {
display: table !important;
}
tr.visible-md {
display: table-row !important;
}
th.visible-md,
td.visible-md {
display: table-cell !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.visible-md-block {
display: block !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.visible-md-inline {
display: inline !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.visible-md-inline-block {
display: inline-block !important;
}
}
@media (min-width: 1200px) {
.visible-lg {
display: block !important;
}
table.visible-lg {
display: table !important;
}
tr.visible-lg {
display: table-row !important;
}
th.visible-lg,
td.visible-lg {
display: table-cell !important;
}
}
@media (min-width: 1200px) {
.visible-lg-block {
display: block !important;
}
}
@media (min-width: 1200px) {
.visible-lg-inline {
display: inline !important;
}
}
@media (min-width: 1200px) {
.visible-lg-inline-block {
display: inline-block !important;
}
}
@media (max-width: 767px) {
.hidden-xs {
display: none !important;
}
}
@media (min-width: 768px) and (max-width: 991px) {
.hidden-sm {
display: none !important;
}
}
@media (min-width: 992px) and (max-width: 1199px) {
.hidden-md {
display: none !important;
}
}
@media (min-width: 1200px) {
.hidden-lg {
display: none !important;
}
}
.visible-print {
display: none !important;
}
@media print {
.visible-print {
display: block !important;
}
table.visible-print {
display: table !important;
}
tr.visible-print {
display: table-row !important;
}
th.visible-print,
td.visible-print {
display: table-cell !important;
}
}
.visible-print-block {
display: none !important;
}
@media print {
.visible-print-block {
display: block !important;
}
}
.visible-print-inline {
display: none !important;
}
@media print {
.visible-print-inline {
display: inline !important;
}
}
.visible-print-inline-block {
display: none !important;
}
@media print {
.visible-print-inline-block {
display: inline-block !important;
}
}
@media print {
.hidden-print {
display: none !important;
}
}
/*!
*
* Font Awesome
*
*/
/*!
* Font Awesome 4.7.0 by @davegandy - http://fontawesome.io - @fontawesome
* License - http://fontawesome.io/license (Font: SIL OFL 1.1, CSS: MIT License)
*/
/* FONT PATH
* -------------------------- */
@font-face {
font-family: 'FontAwesome';
src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?v=4.7.0');
src: url('../components/font-awesome/fonts/fontawesome-webfont.eot?#iefix&v=4.7.0') format('embedded-opentype'), url('../components/font-awesome/fonts/fontawesome-webfont.woff2?v=4.7.0') format('woff2'), url('../components/font-awesome/fonts/fontawesome-webfont.woff?v=4.7.0') format('woff'), url('../components/font-awesome/fonts/fontawesome-webfont.ttf?v=4.7.0') format('truetype'), url('../components/font-awesome/fonts/fontawesome-webfont.svg?v=4.7.0#fontawesomeregular') format('svg');
font-weight: normal;
font-style: normal;
}
.fa {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
}
/* makes the font 33% larger relative to the icon container */
.fa-lg {
font-size: 1.33333333em;
line-height: 0.75em;
vertical-align: -15%;
}
.fa-2x {
font-size: 2em;
}
.fa-3x {
font-size: 3em;
}
.fa-4x {
font-size: 4em;
}
.fa-5x {
font-size: 5em;
}
.fa-fw {
width: 1.28571429em;
text-align: center;
}
.fa-ul {
padding-left: 0;
margin-left: 2.14285714em;
list-style-type: none;
}
.fa-ul > li {
position: relative;
}
.fa-li {
position: absolute;
left: -2.14285714em;
width: 2.14285714em;
top: 0.14285714em;
text-align: center;
}
.fa-li.fa-lg {
left: -1.85714286em;
}
.fa-border {
padding: .2em .25em .15em;
border: solid 0.08em #eee;
border-radius: .1em;
}
.fa-pull-left {
float: left;
}
.fa-pull-right {
float: right;
}
.fa.fa-pull-left {
margin-right: .3em;
}
.fa.fa-pull-right {
margin-left: .3em;
}
/* Deprecated as of 4.4.0 */
.pull-right {
float: right;
}
.pull-left {
float: left;
}
.fa.pull-left {
margin-right: .3em;
}
.fa.pull-right {
margin-left: .3em;
}
.fa-spin {
-webkit-animation: fa-spin 2s infinite linear;
animation: fa-spin 2s infinite linear;
}
.fa-pulse {
-webkit-animation: fa-spin 1s infinite steps(8);
animation: fa-spin 1s infinite steps(8);
}
@-webkit-keyframes fa-spin {
0% {
-webkit-transform: rotate(0deg);
transform: rotate(0deg);
}
100% {
-webkit-transform: rotate(359deg);
transform: rotate(359deg);
}
}
@keyframes fa-spin {
0% {
-webkit-transform: rotate(0deg);
transform: rotate(0deg);
}
100% {
-webkit-transform: rotate(359deg);
transform: rotate(359deg);
}
}
.fa-rotate-90 {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
-webkit-transform: rotate(90deg);
-ms-transform: rotate(90deg);
transform: rotate(90deg);
}
.fa-rotate-180 {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
-webkit-transform: rotate(180deg);
-ms-transform: rotate(180deg);
transform: rotate(180deg);
}
.fa-rotate-270 {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
-webkit-transform: rotate(270deg);
-ms-transform: rotate(270deg);
transform: rotate(270deg);
}
.fa-flip-horizontal {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1)";
-webkit-transform: scale(-1, 1);
-ms-transform: scale(-1, 1);
transform: scale(-1, 1);
}
.fa-flip-vertical {
-ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)";
-webkit-transform: scale(1, -1);
-ms-transform: scale(1, -1);
transform: scale(1, -1);
}
:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical {
filter: none;
}
.fa-stack {
position: relative;
display: inline-block;
width: 2em;
height: 2em;
line-height: 2em;
vertical-align: middle;
}
.fa-stack-1x,
.fa-stack-2x {
position: absolute;
left: 0;
width: 100%;
text-align: center;
}
.fa-stack-1x {
line-height: inherit;
}
.fa-stack-2x {
font-size: 2em;
}
.fa-inverse {
color: #fff;
}
/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
readers do not read off random characters that represent icons */
.fa-glass:before {
content: "\f000";
}
.fa-music:before {
content: "\f001";
}
.fa-search:before {
content: "\f002";
}
.fa-envelope-o:before {
content: "\f003";
}
.fa-heart:before {
content: "\f004";
}
.fa-star:before {
content: "\f005";
}
.fa-star-o:before {
content: "\f006";
}
.fa-user:before {
content: "\f007";
}
.fa-film:before {
content: "\f008";
}
.fa-th-large:before {
content: "\f009";
}
.fa-th:before {
content: "\f00a";
}
.fa-th-list:before {
content: "\f00b";
}
.fa-check:before {
content: "\f00c";
}
.fa-remove:before,
.fa-close:before,
.fa-times:before {
content: "\f00d";
}
.fa-search-plus:before {
content: "\f00e";
}
.fa-search-minus:before {
content: "\f010";
}
.fa-power-off:before {
content: "\f011";
}
.fa-signal:before {
content: "\f012";
}
.fa-gear:before,
.fa-cog:before {
content: "\f013";
}
.fa-trash-o:before {
content: "\f014";
}
.fa-home:before {
content: "\f015";
}
.fa-file-o:before {
content: "\f016";
}
.fa-clock-o:before {
content: "\f017";
}
.fa-road:before {
content: "\f018";
}
.fa-download:before {
content: "\f019";
}
.fa-arrow-circle-o-down:before {
content: "\f01a";
}
.fa-arrow-circle-o-up:before {
content: "\f01b";
}
.fa-inbox:before {
content: "\f01c";
}
.fa-play-circle-o:before {
content: "\f01d";
}
.fa-rotate-right:before,
.fa-repeat:before {
content: "\f01e";
}
.fa-refresh:before {
content: "\f021";
}
.fa-list-alt:before {
content: "\f022";
}
.fa-lock:before {
content: "\f023";
}
.fa-flag:before {
content: "\f024";
}
.fa-headphones:before {
content: "\f025";
}
.fa-volume-off:before {
content: "\f026";
}
.fa-volume-down:before {
content: "\f027";
}
.fa-volume-up:before {
content: "\f028";
}
.fa-qrcode:before {
content: "\f029";
}
.fa-barcode:before {
content: "\f02a";
}
.fa-tag:before {
content: "\f02b";
}
.fa-tags:before {
content: "\f02c";
}
.fa-book:before {
content: "\f02d";
}
.fa-bookmark:before {
content: "\f02e";
}
.fa-print:before {
content: "\f02f";
}
.fa-camera:before {
content: "\f030";
}
.fa-font:before {
content: "\f031";
}
.fa-bold:before {
content: "\f032";
}
.fa-italic:before {
content: "\f033";
}
.fa-text-height:before {
content: "\f034";
}
.fa-text-width:before {
content: "\f035";
}
.fa-align-left:before {
content: "\f036";
}
.fa-align-center:before {
content: "\f037";
}
.fa-align-right:before {
content: "\f038";
}
.fa-align-justify:before {
content: "\f039";
}
.fa-list:before {
content: "\f03a";
}
.fa-dedent:before,
.fa-outdent:before {
content: "\f03b";
}
.fa-indent:before {
content: "\f03c";
}
.fa-video-camera:before {
content: "\f03d";
}
.fa-photo:before,
.fa-image:before,
.fa-picture-o:before {
content: "\f03e";
}
.fa-pencil:before {
content: "\f040";
}
.fa-map-marker:before {
content: "\f041";
}
.fa-adjust:before {
content: "\f042";
}
.fa-tint:before {
content: "\f043";
}
.fa-edit:before,
.fa-pencil-square-o:before {
content: "\f044";
}
.fa-share-square-o:before {
content: "\f045";
}
.fa-check-square-o:before {
content: "\f046";
}
.fa-arrows:before {
content: "\f047";
}
.fa-step-backward:before {
content: "\f048";
}
.fa-fast-backward:before {
content: "\f049";
}
.fa-backward:before {
content: "\f04a";
}
.fa-play:before {
content: "\f04b";
}
.fa-pause:before {
content: "\f04c";
}
.fa-stop:before {
content: "\f04d";
}
.fa-forward:before {
content: "\f04e";
}
.fa-fast-forward:before {
content: "\f050";
}
.fa-step-forward:before {
content: "\f051";
}
.fa-eject:before {
content: "\f052";
}
.fa-chevron-left:before {
content: "\f053";
}
.fa-chevron-right:before {
content: "\f054";
}
.fa-plus-circle:before {
content: "\f055";
}
.fa-minus-circle:before {
content: "\f056";
}
.fa-times-circle:before {
content: "\f057";
}
.fa-check-circle:before {
content: "\f058";
}
.fa-question-circle:before {
content: "\f059";
}
.fa-info-circle:before {
content: "\f05a";
}
.fa-crosshairs:before {
content: "\f05b";
}
.fa-times-circle-o:before {
content: "\f05c";
}
.fa-check-circle-o:before {
content: "\f05d";
}
.fa-ban:before {
content: "\f05e";
}
.fa-arrow-left:before {
content: "\f060";
}
.fa-arrow-right:before {
content: "\f061";
}
.fa-arrow-up:before {
content: "\f062";
}
.fa-arrow-down:before {
content: "\f063";
}
.fa-mail-forward:before,
.fa-share:before {
content: "\f064";
}
.fa-expand:before {
content: "\f065";
}
.fa-compress:before {
content: "\f066";
}
.fa-plus:before {
content: "\f067";
}
.fa-minus:before {
content: "\f068";
}
.fa-asterisk:before {
content: "\f069";
}
.fa-exclamation-circle:before {
content: "\f06a";
}
.fa-gift:before {
content: "\f06b";
}
.fa-leaf:before {
content: "\f06c";
}
.fa-fire:before {
content: "\f06d";
}
.fa-eye:before {
content: "\f06e";
}
.fa-eye-slash:before {
content: "\f070";
}
.fa-warning:before,
.fa-exclamation-triangle:before {
content: "\f071";
}
.fa-plane:before {
content: "\f072";
}
.fa-calendar:before {
content: "\f073";
}
.fa-random:before {
content: "\f074";
}
.fa-comment:before {
content: "\f075";
}
.fa-magnet:before {
content: "\f076";
}
.fa-chevron-up:before {
content: "\f077";
}
.fa-chevron-down:before {
content: "\f078";
}
.fa-retweet:before {
content: "\f079";
}
.fa-shopping-cart:before {
content: "\f07a";
}
.fa-folder:before {
content: "\f07b";
}
.fa-folder-open:before {
content: "\f07c";
}
.fa-arrows-v:before {
content: "\f07d";
}
.fa-arrows-h:before {
content: "\f07e";
}
.fa-bar-chart-o:before,
.fa-bar-chart:before {
content: "\f080";
}
.fa-twitter-square:before {
content: "\f081";
}
.fa-facebook-square:before {
content: "\f082";
}
.fa-camera-retro:before {
content: "\f083";
}
.fa-key:before {
content: "\f084";
}
.fa-gears:before,
.fa-cogs:before {
content: "\f085";
}
.fa-comments:before {
content: "\f086";
}
.fa-thumbs-o-up:before {
content: "\f087";
}
.fa-thumbs-o-down:before {
content: "\f088";
}
.fa-star-half:before {
content: "\f089";
}
.fa-heart-o:before {
content: "\f08a";
}
.fa-sign-out:before {
content: "\f08b";
}
.fa-linkedin-square:before {
content: "\f08c";
}
.fa-thumb-tack:before {
content: "\f08d";
}
.fa-external-link:before {
content: "\f08e";
}
.fa-sign-in:before {
content: "\f090";
}
.fa-trophy:before {
content: "\f091";
}
.fa-github-square:before {
content: "\f092";
}
.fa-upload:before {
content: "\f093";
}
.fa-lemon-o:before {
content: "\f094";
}
.fa-phone:before {
content: "\f095";
}
.fa-square-o:before {
content: "\f096";
}
.fa-bookmark-o:before {
content: "\f097";
}
.fa-phone-square:before {
content: "\f098";
}
.fa-twitter:before {
content: "\f099";
}
.fa-facebook-f:before,
.fa-facebook:before {
content: "\f09a";
}
.fa-github:before {
content: "\f09b";
}
.fa-unlock:before {
content: "\f09c";
}
.fa-credit-card:before {
content: "\f09d";
}
.fa-feed:before,
.fa-rss:before {
content: "\f09e";
}
.fa-hdd-o:before {
content: "\f0a0";
}
.fa-bullhorn:before {
content: "\f0a1";
}
.fa-bell:before {
content: "\f0f3";
}
.fa-certificate:before {
content: "\f0a3";
}
.fa-hand-o-right:before {
content: "\f0a4";
}
.fa-hand-o-left:before {
content: "\f0a5";
}
.fa-hand-o-up:before {
content: "\f0a6";
}
.fa-hand-o-down:before {
content: "\f0a7";
}
.fa-arrow-circle-left:before {
content: "\f0a8";
}
.fa-arrow-circle-right:before {
content: "\f0a9";
}
.fa-arrow-circle-up:before {
content: "\f0aa";
}
.fa-arrow-circle-down:before {
content: "\f0ab";
}
.fa-globe:before {
content: "\f0ac";
}
.fa-wrench:before {
content: "\f0ad";
}
.fa-tasks:before {
content: "\f0ae";
}
.fa-filter:before {
content: "\f0b0";
}
.fa-briefcase:before {
content: "\f0b1";
}
.fa-arrows-alt:before {
content: "\f0b2";
}
.fa-group:before,
.fa-users:before {
content: "\f0c0";
}
.fa-chain:before,
.fa-link:before {
content: "\f0c1";
}
.fa-cloud:before {
content: "\f0c2";
}
.fa-flask:before {
content: "\f0c3";
}
.fa-cut:before,
.fa-scissors:before {
content: "\f0c4";
}
.fa-copy:before,
.fa-files-o:before {
content: "\f0c5";
}
.fa-paperclip:before {
content: "\f0c6";
}
.fa-save:before,
.fa-floppy-o:before {
content: "\f0c7";
}
.fa-square:before {
content: "\f0c8";
}
.fa-navicon:before,
.fa-reorder:before,
.fa-bars:before {
content: "\f0c9";
}
.fa-list-ul:before {
content: "\f0ca";
}
.fa-list-ol:before {
content: "\f0cb";
}
.fa-strikethrough:before {
content: "\f0cc";
}
.fa-underline:before {
content: "\f0cd";
}
.fa-table:before {
content: "\f0ce";
}
.fa-magic:before {
content: "\f0d0";
}
.fa-truck:before {
content: "\f0d1";
}
.fa-pinterest:before {
content: "\f0d2";
}
.fa-pinterest-square:before {
content: "\f0d3";
}
.fa-google-plus-square:before {
content: "\f0d4";
}
.fa-google-plus:before {
content: "\f0d5";
}
.fa-money:before {
content: "\f0d6";
}
.fa-caret-down:before {
content: "\f0d7";
}
.fa-caret-up:before {
content: "\f0d8";
}
.fa-caret-left:before {
content: "\f0d9";
}
.fa-caret-right:before {
content: "\f0da";
}
.fa-columns:before {
content: "\f0db";
}
.fa-unsorted:before,
.fa-sort:before {
content: "\f0dc";
}
.fa-sort-down:before,
.fa-sort-desc:before {
content: "\f0dd";
}
.fa-sort-up:before,
.fa-sort-asc:before {
content: "\f0de";
}
.fa-envelope:before {
content: "\f0e0";
}
.fa-linkedin:before {
content: "\f0e1";
}
.fa-rotate-left:before,
.fa-undo:before {
content: "\f0e2";
}
.fa-legal:before,
.fa-gavel:before {
content: "\f0e3";
}
.fa-dashboard:before,
.fa-tachometer:before {
content: "\f0e4";
}
.fa-comment-o:before {
content: "\f0e5";
}
.fa-comments-o:before {
content: "\f0e6";
}
.fa-flash:before,
.fa-bolt:before {
content: "\f0e7";
}
.fa-sitemap:before {
content: "\f0e8";
}
.fa-umbrella:before {
content: "\f0e9";
}
.fa-paste:before,
.fa-clipboard:before {
content: "\f0ea";
}
.fa-lightbulb-o:before {
content: "\f0eb";
}
.fa-exchange:before {
content: "\f0ec";
}
.fa-cloud-download:before {
content: "\f0ed";
}
.fa-cloud-upload:before {
content: "\f0ee";
}
.fa-user-md:before {
content: "\f0f0";
}
.fa-stethoscope:before {
content: "\f0f1";
}
.fa-suitcase:before {
content: "\f0f2";
}
.fa-bell-o:before {
content: "\f0a2";
}
.fa-coffee:before {
content: "\f0f4";
}
.fa-cutlery:before {
content: "\f0f5";
}
.fa-file-text-o:before {
content: "\f0f6";
}
.fa-building-o:before {
content: "\f0f7";
}
.fa-hospital-o:before {
content: "\f0f8";
}
.fa-ambulance:before {
content: "\f0f9";
}
.fa-medkit:before {
content: "\f0fa";
}
.fa-fighter-jet:before {
content: "\f0fb";
}
.fa-beer:before {
content: "\f0fc";
}
.fa-h-square:before {
content: "\f0fd";
}
.fa-plus-square:before {
content: "\f0fe";
}
.fa-angle-double-left:before {
content: "\f100";
}
.fa-angle-double-right:before {
content: "\f101";
}
.fa-angle-double-up:before {
content: "\f102";
}
.fa-angle-double-down:before {
content: "\f103";
}
.fa-angle-left:before {
content: "\f104";
}
.fa-angle-right:before {
content: "\f105";
}
.fa-angle-up:before {
content: "\f106";
}
.fa-angle-down:before {
content: "\f107";
}
.fa-desktop:before {
content: "\f108";
}
.fa-laptop:before {
content: "\f109";
}
.fa-tablet:before {
content: "\f10a";
}
.fa-mobile-phone:before,
.fa-mobile:before {
content: "\f10b";
}
.fa-circle-o:before {
content: "\f10c";
}
.fa-quote-left:before {
content: "\f10d";
}
.fa-quote-right:before {
content: "\f10e";
}
.fa-spinner:before {
content: "\f110";
}
.fa-circle:before {
content: "\f111";
}
.fa-mail-reply:before,
.fa-reply:before {
content: "\f112";
}
.fa-github-alt:before {
content: "\f113";
}
.fa-folder-o:before {
content: "\f114";
}
.fa-folder-open-o:before {
content: "\f115";
}
.fa-smile-o:before {
content: "\f118";
}
.fa-frown-o:before {
content: "\f119";
}
.fa-meh-o:before {
content: "\f11a";
}
.fa-gamepad:before {
content: "\f11b";
}
.fa-keyboard-o:before {
content: "\f11c";
}
.fa-flag-o:before {
content: "\f11d";
}
.fa-flag-checkered:before {
content: "\f11e";
}
.fa-terminal:before {
content: "\f120";
}
.fa-code:before {
content: "\f121";
}
.fa-mail-reply-all:before,
.fa-reply-all:before {
content: "\f122";
}
.fa-star-half-empty:before,
.fa-star-half-full:before,
.fa-star-half-o:before {
content: "\f123";
}
.fa-location-arrow:before {
content: "\f124";
}
.fa-crop:before {
content: "\f125";
}
.fa-code-fork:before {
content: "\f126";
}
.fa-unlink:before,
.fa-chain-broken:before {
content: "\f127";
}
.fa-question:before {
content: "\f128";
}
.fa-info:before {
content: "\f129";
}
.fa-exclamation:before {
content: "\f12a";
}
.fa-superscript:before {
content: "\f12b";
}
.fa-subscript:before {
content: "\f12c";
}
.fa-eraser:before {
content: "\f12d";
}
.fa-puzzle-piece:before {
content: "\f12e";
}
.fa-microphone:before {
content: "\f130";
}
.fa-microphone-slash:before {
content: "\f131";
}
.fa-shield:before {
content: "\f132";
}
.fa-calendar-o:before {
content: "\f133";
}
.fa-fire-extinguisher:before {
content: "\f134";
}
.fa-rocket:before {
content: "\f135";
}
.fa-maxcdn:before {
content: "\f136";
}
.fa-chevron-circle-left:before {
content: "\f137";
}
.fa-chevron-circle-right:before {
content: "\f138";
}
.fa-chevron-circle-up:before {
content: "\f139";
}
.fa-chevron-circle-down:before {
content: "\f13a";
}
.fa-html5:before {
content: "\f13b";
}
.fa-css3:before {
content: "\f13c";
}
.fa-anchor:before {
content: "\f13d";
}
.fa-unlock-alt:before {
content: "\f13e";
}
.fa-bullseye:before {
content: "\f140";
}
.fa-ellipsis-h:before {
content: "\f141";
}
.fa-ellipsis-v:before {
content: "\f142";
}
.fa-rss-square:before {
content: "\f143";
}
.fa-play-circle:before {
content: "\f144";
}
.fa-ticket:before {
content: "\f145";
}
.fa-minus-square:before {
content: "\f146";
}
.fa-minus-square-o:before {
content: "\f147";
}
.fa-level-up:before {
content: "\f148";
}
.fa-level-down:before {
content: "\f149";
}
.fa-check-square:before {
content: "\f14a";
}
.fa-pencil-square:before {
content: "\f14b";
}
.fa-external-link-square:before {
content: "\f14c";
}
.fa-share-square:before {
content: "\f14d";
}
.fa-compass:before {
content: "\f14e";
}
.fa-toggle-down:before,
.fa-caret-square-o-down:before {
content: "\f150";
}
.fa-toggle-up:before,
.fa-caret-square-o-up:before {
content: "\f151";
}
.fa-toggle-right:before,
.fa-caret-square-o-right:before {
content: "\f152";
}
.fa-euro:before,
.fa-eur:before {
content: "\f153";
}
.fa-gbp:before {
content: "\f154";
}
.fa-dollar:before,
.fa-usd:before {
content: "\f155";
}
.fa-rupee:before,
.fa-inr:before {
content: "\f156";
}
.fa-cny:before,
.fa-rmb:before,
.fa-yen:before,
.fa-jpy:before {
content: "\f157";
}
.fa-ruble:before,
.fa-rouble:before,
.fa-rub:before {
content: "\f158";
}
.fa-won:before,
.fa-krw:before {
content: "\f159";
}
.fa-bitcoin:before,
.fa-btc:before {
content: "\f15a";
}
.fa-file:before {
content: "\f15b";
}
.fa-file-text:before {
content: "\f15c";
}
.fa-sort-alpha-asc:before {
content: "\f15d";
}
.fa-sort-alpha-desc:before {
content: "\f15e";
}
.fa-sort-amount-asc:before {
content: "\f160";
}
.fa-sort-amount-desc:before {
content: "\f161";
}
.fa-sort-numeric-asc:before {
content: "\f162";
}
.fa-sort-numeric-desc:before {
content: "\f163";
}
.fa-thumbs-up:before {
content: "\f164";
}
.fa-thumbs-down:before {
content: "\f165";
}
.fa-youtube-square:before {
content: "\f166";
}
.fa-youtube:before {
content: "\f167";
}
.fa-xing:before {
content: "\f168";
}
.fa-xing-square:before {
content: "\f169";
}
.fa-youtube-play:before {
content: "\f16a";
}
.fa-dropbox:before {
content: "\f16b";
}
.fa-stack-overflow:before {
content: "\f16c";
}
.fa-instagram:before {
content: "\f16d";
}
.fa-flickr:before {
content: "\f16e";
}
.fa-adn:before {
content: "\f170";
}
.fa-bitbucket:before {
content: "\f171";
}
.fa-bitbucket-square:before {
content: "\f172";
}
.fa-tumblr:before {
content: "\f173";
}
.fa-tumblr-square:before {
content: "\f174";
}
.fa-long-arrow-down:before {
content: "\f175";
}
.fa-long-arrow-up:before {
content: "\f176";
}
.fa-long-arrow-left:before {
content: "\f177";
}
.fa-long-arrow-right:before {
content: "\f178";
}
.fa-apple:before {
content: "\f179";
}
.fa-windows:before {
content: "\f17a";
}
.fa-android:before {
content: "\f17b";
}
.fa-linux:before {
content: "\f17c";
}
.fa-dribbble:before {
content: "\f17d";
}
.fa-skype:before {
content: "\f17e";
}
.fa-foursquare:before {
content: "\f180";
}
.fa-trello:before {
content: "\f181";
}
.fa-female:before {
content: "\f182";
}
.fa-male:before {
content: "\f183";
}
.fa-gittip:before,
.fa-gratipay:before {
content: "\f184";
}
.fa-sun-o:before {
content: "\f185";
}
.fa-moon-o:before {
content: "\f186";
}
.fa-archive:before {
content: "\f187";
}
.fa-bug:before {
content: "\f188";
}
.fa-vk:before {
content: "\f189";
}
.fa-weibo:before {
content: "\f18a";
}
.fa-renren:before {
content: "\f18b";
}
.fa-pagelines:before {
content: "\f18c";
}
.fa-stack-exchange:before {
content: "\f18d";
}
.fa-arrow-circle-o-right:before {
content: "\f18e";
}
.fa-arrow-circle-o-left:before {
content: "\f190";
}
.fa-toggle-left:before,
.fa-caret-square-o-left:before {
content: "\f191";
}
.fa-dot-circle-o:before {
content: "\f192";
}
.fa-wheelchair:before {
content: "\f193";
}
.fa-vimeo-square:before {
content: "\f194";
}
.fa-turkish-lira:before,
.fa-try:before {
content: "\f195";
}
.fa-plus-square-o:before {
content: "\f196";
}
.fa-space-shuttle:before {
content: "\f197";
}
.fa-slack:before {
content: "\f198";
}
.fa-envelope-square:before {
content: "\f199";
}
.fa-wordpress:before {
content: "\f19a";
}
.fa-openid:before {
content: "\f19b";
}
.fa-institution:before,
.fa-bank:before,
.fa-university:before {
content: "\f19c";
}
.fa-mortar-board:before,
.fa-graduation-cap:before {
content: "\f19d";
}
.fa-yahoo:before {
content: "\f19e";
}
.fa-google:before {
content: "\f1a0";
}
.fa-reddit:before {
content: "\f1a1";
}
.fa-reddit-square:before {
content: "\f1a2";
}
.fa-stumbleupon-circle:before {
content: "\f1a3";
}
.fa-stumbleupon:before {
content: "\f1a4";
}
.fa-delicious:before {
content: "\f1a5";
}
.fa-digg:before {
content: "\f1a6";
}
.fa-pied-piper-pp:before {
content: "\f1a7";
}
.fa-pied-piper-alt:before {
content: "\f1a8";
}
.fa-drupal:before {
content: "\f1a9";
}
.fa-joomla:before {
content: "\f1aa";
}
.fa-language:before {
content: "\f1ab";
}
.fa-fax:before {
content: "\f1ac";
}
.fa-building:before {
content: "\f1ad";
}
.fa-child:before {
content: "\f1ae";
}
.fa-paw:before {
content: "\f1b0";
}
.fa-spoon:before {
content: "\f1b1";
}
.fa-cube:before {
content: "\f1b2";
}
.fa-cubes:before {
content: "\f1b3";
}
.fa-behance:before {
content: "\f1b4";
}
.fa-behance-square:before {
content: "\f1b5";
}
.fa-steam:before {
content: "\f1b6";
}
.fa-steam-square:before {
content: "\f1b7";
}
.fa-recycle:before {
content: "\f1b8";
}
.fa-automobile:before,
.fa-car:before {
content: "\f1b9";
}
.fa-cab:before,
.fa-taxi:before {
content: "\f1ba";
}
.fa-tree:before {
content: "\f1bb";
}
.fa-spotify:before {
content: "\f1bc";
}
.fa-deviantart:before {
content: "\f1bd";
}
.fa-soundcloud:before {
content: "\f1be";
}
.fa-database:before {
content: "\f1c0";
}
.fa-file-pdf-o:before {
content: "\f1c1";
}
.fa-file-word-o:before {
content: "\f1c2";
}
.fa-file-excel-o:before {
content: "\f1c3";
}
.fa-file-powerpoint-o:before {
content: "\f1c4";
}
.fa-file-photo-o:before,
.fa-file-picture-o:before,
.fa-file-image-o:before {
content: "\f1c5";
}
.fa-file-zip-o:before,
.fa-file-archive-o:before {
content: "\f1c6";
}
.fa-file-sound-o:before,
.fa-file-audio-o:before {
content: "\f1c7";
}
.fa-file-movie-o:before,
.fa-file-video-o:before {
content: "\f1c8";
}
.fa-file-code-o:before {
content: "\f1c9";
}
.fa-vine:before {
content: "\f1ca";
}
.fa-codepen:before {
content: "\f1cb";
}
.fa-jsfiddle:before {
content: "\f1cc";
}
.fa-life-bouy:before,
.fa-life-buoy:before,
.fa-life-saver:before,
.fa-support:before,
.fa-life-ring:before {
content: "\f1cd";
}
.fa-circle-o-notch:before {
content: "\f1ce";
}
.fa-ra:before,
.fa-resistance:before,
.fa-rebel:before {
content: "\f1d0";
}
.fa-ge:before,
.fa-empire:before {
content: "\f1d1";
}
.fa-git-square:before {
content: "\f1d2";
}
.fa-git:before {
content: "\f1d3";
}
.fa-y-combinator-square:before,
.fa-yc-square:before,
.fa-hacker-news:before {
content: "\f1d4";
}
.fa-tencent-weibo:before {
content: "\f1d5";
}
.fa-qq:before {
content: "\f1d6";
}
.fa-wechat:before,
.fa-weixin:before {
content: "\f1d7";
}
.fa-send:before,
.fa-paper-plane:before {
content: "\f1d8";
}
.fa-send-o:before,
.fa-paper-plane-o:before {
content: "\f1d9";
}
.fa-history:before {
content: "\f1da";
}
.fa-circle-thin:before {
content: "\f1db";
}
.fa-header:before {
content: "\f1dc";
}
.fa-paragraph:before {
content: "\f1dd";
}
.fa-sliders:before {
content: "\f1de";
}
.fa-share-alt:before {
content: "\f1e0";
}
.fa-share-alt-square:before {
content: "\f1e1";
}
.fa-bomb:before {
content: "\f1e2";
}
.fa-soccer-ball-o:before,
.fa-futbol-o:before {
content: "\f1e3";
}
.fa-tty:before {
content: "\f1e4";
}
.fa-binoculars:before {
content: "\f1e5";
}
.fa-plug:before {
content: "\f1e6";
}
.fa-slideshare:before {
content: "\f1e7";
}
.fa-twitch:before {
content: "\f1e8";
}
.fa-yelp:before {
content: "\f1e9";
}
.fa-newspaper-o:before {
content: "\f1ea";
}
.fa-wifi:before {
content: "\f1eb";
}
.fa-calculator:before {
content: "\f1ec";
}
.fa-paypal:before {
content: "\f1ed";
}
.fa-google-wallet:before {
content: "\f1ee";
}
.fa-cc-visa:before {
content: "\f1f0";
}
.fa-cc-mastercard:before {
content: "\f1f1";
}
.fa-cc-discover:before {
content: "\f1f2";
}
.fa-cc-amex:before {
content: "\f1f3";
}
.fa-cc-paypal:before {
content: "\f1f4";
}
.fa-cc-stripe:before {
content: "\f1f5";
}
.fa-bell-slash:before {
content: "\f1f6";
}
.fa-bell-slash-o:before {
content: "\f1f7";
}
.fa-trash:before {
content: "\f1f8";
}
.fa-copyright:before {
content: "\f1f9";
}
.fa-at:before {
content: "\f1fa";
}
.fa-eyedropper:before {
content: "\f1fb";
}
.fa-paint-brush:before {
content: "\f1fc";
}
.fa-birthday-cake:before {
content: "\f1fd";
}
.fa-area-chart:before {
content: "\f1fe";
}
.fa-pie-chart:before {
content: "\f200";
}
.fa-line-chart:before {
content: "\f201";
}
.fa-lastfm:before {
content: "\f202";
}
.fa-lastfm-square:before {
content: "\f203";
}
.fa-toggle-off:before {
content: "\f204";
}
.fa-toggle-on:before {
content: "\f205";
}
.fa-bicycle:before {
content: "\f206";
}
.fa-bus:before {
content: "\f207";
}
.fa-ioxhost:before {
content: "\f208";
}
.fa-angellist:before {
content: "\f209";
}
.fa-cc:before {
content: "\f20a";
}
.fa-shekel:before,
.fa-sheqel:before,
.fa-ils:before {
content: "\f20b";
}
.fa-meanpath:before {
content: "\f20c";
}
.fa-buysellads:before {
content: "\f20d";
}
.fa-connectdevelop:before {
content: "\f20e";
}
.fa-dashcube:before {
content: "\f210";
}
.fa-forumbee:before {
content: "\f211";
}
.fa-leanpub:before {
content: "\f212";
}
.fa-sellsy:before {
content: "\f213";
}
.fa-shirtsinbulk:before {
content: "\f214";
}
.fa-simplybuilt:before {
content: "\f215";
}
.fa-skyatlas:before {
content: "\f216";
}
.fa-cart-plus:before {
content: "\f217";
}
.fa-cart-arrow-down:before {
content: "\f218";
}
.fa-diamond:before {
content: "\f219";
}
.fa-ship:before {
content: "\f21a";
}
.fa-user-secret:before {
content: "\f21b";
}
.fa-motorcycle:before {
content: "\f21c";
}
.fa-street-view:before {
content: "\f21d";
}
.fa-heartbeat:before {
content: "\f21e";
}
.fa-venus:before {
content: "\f221";
}
.fa-mars:before {
content: "\f222";
}
.fa-mercury:before {
content: "\f223";
}
.fa-intersex:before,
.fa-transgender:before {
content: "\f224";
}
.fa-transgender-alt:before {
content: "\f225";
}
.fa-venus-double:before {
content: "\f226";
}
.fa-mars-double:before {
content: "\f227";
}
.fa-venus-mars:before {
content: "\f228";
}
.fa-mars-stroke:before {
content: "\f229";
}
.fa-mars-stroke-v:before {
content: "\f22a";
}
.fa-mars-stroke-h:before {
content: "\f22b";
}
.fa-neuter:before {
content: "\f22c";
}
.fa-genderless:before {
content: "\f22d";
}
.fa-facebook-official:before {
content: "\f230";
}
.fa-pinterest-p:before {
content: "\f231";
}
.fa-whatsapp:before {
content: "\f232";
}
.fa-server:before {
content: "\f233";
}
.fa-user-plus:before {
content: "\f234";
}
.fa-user-times:before {
content: "\f235";
}
.fa-hotel:before,
.fa-bed:before {
content: "\f236";
}
.fa-viacoin:before {
content: "\f237";
}
.fa-train:before {
content: "\f238";
}
.fa-subway:before {
content: "\f239";
}
.fa-medium:before {
content: "\f23a";
}
.fa-yc:before,
.fa-y-combinator:before {
content: "\f23b";
}
.fa-optin-monster:before {
content: "\f23c";
}
.fa-opencart:before {
content: "\f23d";
}
.fa-expeditedssl:before {
content: "\f23e";
}
.fa-battery-4:before,
.fa-battery:before,
.fa-battery-full:before {
content: "\f240";
}
.fa-battery-3:before,
.fa-battery-three-quarters:before {
content: "\f241";
}
.fa-battery-2:before,
.fa-battery-half:before {
content: "\f242";
}
.fa-battery-1:before,
.fa-battery-quarter:before {
content: "\f243";
}
.fa-battery-0:before,
.fa-battery-empty:before {
content: "\f244";
}
.fa-mouse-pointer:before {
content: "\f245";
}
.fa-i-cursor:before {
content: "\f246";
}
.fa-object-group:before {
content: "\f247";
}
.fa-object-ungroup:before {
content: "\f248";
}
.fa-sticky-note:before {
content: "\f249";
}
.fa-sticky-note-o:before {
content: "\f24a";
}
.fa-cc-jcb:before {
content: "\f24b";
}
.fa-cc-diners-club:before {
content: "\f24c";
}
.fa-clone:before {
content: "\f24d";
}
.fa-balance-scale:before {
content: "\f24e";
}
.fa-hourglass-o:before {
content: "\f250";
}
.fa-hourglass-1:before,
.fa-hourglass-start:before {
content: "\f251";
}
.fa-hourglass-2:before,
.fa-hourglass-half:before {
content: "\f252";
}
.fa-hourglass-3:before,
.fa-hourglass-end:before {
content: "\f253";
}
.fa-hourglass:before {
content: "\f254";
}
.fa-hand-grab-o:before,
.fa-hand-rock-o:before {
content: "\f255";
}
.fa-hand-stop-o:before,
.fa-hand-paper-o:before {
content: "\f256";
}
.fa-hand-scissors-o:before {
content: "\f257";
}
.fa-hand-lizard-o:before {
content: "\f258";
}
.fa-hand-spock-o:before {
content: "\f259";
}
.fa-hand-pointer-o:before {
content: "\f25a";
}
.fa-hand-peace-o:before {
content: "\f25b";
}
.fa-trademark:before {
content: "\f25c";
}
.fa-registered:before {
content: "\f25d";
}
.fa-creative-commons:before {
content: "\f25e";
}
.fa-gg:before {
content: "\f260";
}
.fa-gg-circle:before {
content: "\f261";
}
.fa-tripadvisor:before {
content: "\f262";
}
.fa-odnoklassniki:before {
content: "\f263";
}
.fa-odnoklassniki-square:before {
content: "\f264";
}
.fa-get-pocket:before {
content: "\f265";
}
.fa-wikipedia-w:before {
content: "\f266";
}
.fa-safari:before {
content: "\f267";
}
.fa-chrome:before {
content: "\f268";
}
.fa-firefox:before {
content: "\f269";
}
.fa-opera:before {
content: "\f26a";
}
.fa-internet-explorer:before {
content: "\f26b";
}
.fa-tv:before,
.fa-television:before {
content: "\f26c";
}
.fa-contao:before {
content: "\f26d";
}
.fa-500px:before {
content: "\f26e";
}
.fa-amazon:before {
content: "\f270";
}
.fa-calendar-plus-o:before {
content: "\f271";
}
.fa-calendar-minus-o:before {
content: "\f272";
}
.fa-calendar-times-o:before {
content: "\f273";
}
.fa-calendar-check-o:before {
content: "\f274";
}
.fa-industry:before {
content: "\f275";
}
.fa-map-pin:before {
content: "\f276";
}
.fa-map-signs:before {
content: "\f277";
}
.fa-map-o:before {
content: "\f278";
}
.fa-map:before {
content: "\f279";
}
.fa-commenting:before {
content: "\f27a";
}
.fa-commenting-o:before {
content: "\f27b";
}
.fa-houzz:before {
content: "\f27c";
}
.fa-vimeo:before {
content: "\f27d";
}
.fa-black-tie:before {
content: "\f27e";
}
.fa-fonticons:before {
content: "\f280";
}
.fa-reddit-alien:before {
content: "\f281";
}
.fa-edge:before {
content: "\f282";
}
.fa-credit-card-alt:before {
content: "\f283";
}
.fa-codiepie:before {
content: "\f284";
}
.fa-modx:before {
content: "\f285";
}
.fa-fort-awesome:before {
content: "\f286";
}
.fa-usb:before {
content: "\f287";
}
.fa-product-hunt:before {
content: "\f288";
}
.fa-mixcloud:before {
content: "\f289";
}
.fa-scribd:before {
content: "\f28a";
}
.fa-pause-circle:before {
content: "\f28b";
}
.fa-pause-circle-o:before {
content: "\f28c";
}
.fa-stop-circle:before {
content: "\f28d";
}
.fa-stop-circle-o:before {
content: "\f28e";
}
.fa-shopping-bag:before {
content: "\f290";
}
.fa-shopping-basket:before {
content: "\f291";
}
.fa-hashtag:before {
content: "\f292";
}
.fa-bluetooth:before {
content: "\f293";
}
.fa-bluetooth-b:before {
content: "\f294";
}
.fa-percent:before {
content: "\f295";
}
.fa-gitlab:before {
content: "\f296";
}
.fa-wpbeginner:before {
content: "\f297";
}
.fa-wpforms:before {
content: "\f298";
}
.fa-envira:before {
content: "\f299";
}
.fa-universal-access:before {
content: "\f29a";
}
.fa-wheelchair-alt:before {
content: "\f29b";
}
.fa-question-circle-o:before {
content: "\f29c";
}
.fa-blind:before {
content: "\f29d";
}
.fa-audio-description:before {
content: "\f29e";
}
.fa-volume-control-phone:before {
content: "\f2a0";
}
.fa-braille:before {
content: "\f2a1";
}
.fa-assistive-listening-systems:before {
content: "\f2a2";
}
.fa-asl-interpreting:before,
.fa-american-sign-language-interpreting:before {
content: "\f2a3";
}
.fa-deafness:before,
.fa-hard-of-hearing:before,
.fa-deaf:before {
content: "\f2a4";
}
.fa-glide:before {
content: "\f2a5";
}
.fa-glide-g:before {
content: "\f2a6";
}
.fa-signing:before,
.fa-sign-language:before {
content: "\f2a7";
}
.fa-low-vision:before {
content: "\f2a8";
}
.fa-viadeo:before {
content: "\f2a9";
}
.fa-viadeo-square:before {
content: "\f2aa";
}
.fa-snapchat:before {
content: "\f2ab";
}
.fa-snapchat-ghost:before {
content: "\f2ac";
}
.fa-snapchat-square:before {
content: "\f2ad";
}
.fa-pied-piper:before {
content: "\f2ae";
}
.fa-first-order:before {
content: "\f2b0";
}
.fa-yoast:before {
content: "\f2b1";
}
.fa-themeisle:before {
content: "\f2b2";
}
.fa-google-plus-circle:before,
.fa-google-plus-official:before {
content: "\f2b3";
}
.fa-fa:before,
.fa-font-awesome:before {
content: "\f2b4";
}
.fa-handshake-o:before {
content: "\f2b5";
}
.fa-envelope-open:before {
content: "\f2b6";
}
.fa-envelope-open-o:before {
content: "\f2b7";
}
.fa-linode:before {
content: "\f2b8";
}
.fa-address-book:before {
content: "\f2b9";
}
.fa-address-book-o:before {
content: "\f2ba";
}
.fa-vcard:before,
.fa-address-card:before {
content: "\f2bb";
}
.fa-vcard-o:before,
.fa-address-card-o:before {
content: "\f2bc";
}
.fa-user-circle:before {
content: "\f2bd";
}
.fa-user-circle-o:before {
content: "\f2be";
}
.fa-user-o:before {
content: "\f2c0";
}
.fa-id-badge:before {
content: "\f2c1";
}
.fa-drivers-license:before,
.fa-id-card:before {
content: "\f2c2";
}
.fa-drivers-license-o:before,
.fa-id-card-o:before {
content: "\f2c3";
}
.fa-quora:before {
content: "\f2c4";
}
.fa-free-code-camp:before {
content: "\f2c5";
}
.fa-telegram:before {
content: "\f2c6";
}
.fa-thermometer-4:before,
.fa-thermometer:before,
.fa-thermometer-full:before {
content: "\f2c7";
}
.fa-thermometer-3:before,
.fa-thermometer-three-quarters:before {
content: "\f2c8";
}
.fa-thermometer-2:before,
.fa-thermometer-half:before {
content: "\f2c9";
}
.fa-thermometer-1:before,
.fa-thermometer-quarter:before {
content: "\f2ca";
}
.fa-thermometer-0:before,
.fa-thermometer-empty:before {
content: "\f2cb";
}
.fa-shower:before {
content: "\f2cc";
}
.fa-bathtub:before,
.fa-s15:before,
.fa-bath:before {
content: "\f2cd";
}
.fa-podcast:before {
content: "\f2ce";
}
.fa-window-maximize:before {
content: "\f2d0";
}
.fa-window-minimize:before {
content: "\f2d1";
}
.fa-window-restore:before {
content: "\f2d2";
}
.fa-times-rectangle:before,
.fa-window-close:before {
content: "\f2d3";
}
.fa-times-rectangle-o:before,
.fa-window-close-o:before {
content: "\f2d4";
}
.fa-bandcamp:before {
content: "\f2d5";
}
.fa-grav:before {
content: "\f2d6";
}
.fa-etsy:before {
content: "\f2d7";
}
.fa-imdb:before {
content: "\f2d8";
}
.fa-ravelry:before {
content: "\f2d9";
}
.fa-eercast:before {
content: "\f2da";
}
.fa-microchip:before {
content: "\f2db";
}
.fa-snowflake-o:before {
content: "\f2dc";
}
.fa-superpowers:before {
content: "\f2dd";
}
.fa-wpexplorer:before {
content: "\f2de";
}
.fa-meetup:before {
content: "\f2e0";
}
.sr-only {
position: absolute;
width: 1px;
height: 1px;
padding: 0;
margin: -1px;
overflow: hidden;
clip: rect(0, 0, 0, 0);
border: 0;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
position: static;
width: auto;
height: auto;
margin: 0;
overflow: visible;
clip: auto;
}
.sr-only-focusable:active,
.sr-only-focusable:focus {
position: static;
width: auto;
height: auto;
margin: 0;
overflow: visible;
clip: auto;
}
/*!
*
* IPython base
*
*/
.modal.fade .modal-dialog {
-webkit-transform: translate(0, 0);
-ms-transform: translate(0, 0);
-o-transform: translate(0, 0);
transform: translate(0, 0);
}
code {
color: #000;
}
pre {
font-size: inherit;
line-height: inherit;
}
label {
font-weight: normal;
}
/* Make the page background atleast 100% the height of the view port */
/* Make the page itself atleast 70% the height of the view port */
.border-box-sizing {
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
.corner-all {
border-radius: 2px;
}
.no-padding {
padding: 0px;
}
/* Flexible box model classes */
/* Taken from Alex Russell http://infrequently.org/2009/08/css-3-progress/ */
/* This file is a compatability layer. It allows the usage of flexible box
model layouts accross multiple browsers, including older browsers. The newest,
universal implementation of the flexible box model is used when available (see
`Modern browsers` comments below). Browsers that are known to implement this
new spec completely include:
Firefox 28.0+
Chrome 29.0+
Internet Explorer 11+
Opera 17.0+
Browsers not listed, including Safari, are supported via the styling under the
`Old browsers` comments below.
*/
.hbox {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
.hbox > * {
/* Old browsers */
-webkit-box-flex: 0;
-moz-box-flex: 0;
box-flex: 0;
/* Modern browsers */
flex: none;
}
.vbox {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
.vbox > * {
/* Old browsers */
-webkit-box-flex: 0;
-moz-box-flex: 0;
box-flex: 0;
/* Modern browsers */
flex: none;
}
.hbox.reverse,
.vbox.reverse,
.reverse {
/* Old browsers */
-webkit-box-direction: reverse;
-moz-box-direction: reverse;
box-direction: reverse;
/* Modern browsers */
flex-direction: row-reverse;
}
.hbox.box-flex0,
.vbox.box-flex0,
.box-flex0 {
/* Old browsers */
-webkit-box-flex: 0;
-moz-box-flex: 0;
box-flex: 0;
/* Modern browsers */
flex: none;
width: auto;
}
.hbox.box-flex1,
.vbox.box-flex1,
.box-flex1 {
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
}
.hbox.box-flex,
.vbox.box-flex,
.box-flex {
/* Old browsers */
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
}
.hbox.box-flex2,
.vbox.box-flex2,
.box-flex2 {
/* Old browsers */
-webkit-box-flex: 2;
-moz-box-flex: 2;
box-flex: 2;
/* Modern browsers */
flex: 2;
}
.box-group1 {
/* Deprecated */
-webkit-box-flex-group: 1;
-moz-box-flex-group: 1;
box-flex-group: 1;
}
.box-group2 {
/* Deprecated */
-webkit-box-flex-group: 2;
-moz-box-flex-group: 2;
box-flex-group: 2;
}
.hbox.start,
.vbox.start,
.start {
/* Old browsers */
-webkit-box-pack: start;
-moz-box-pack: start;
box-pack: start;
/* Modern browsers */
justify-content: flex-start;
}
.hbox.end,
.vbox.end,
.end {
/* Old browsers */
-webkit-box-pack: end;
-moz-box-pack: end;
box-pack: end;
/* Modern browsers */
justify-content: flex-end;
}
.hbox.center,
.vbox.center,
.center {
/* Old browsers */
-webkit-box-pack: center;
-moz-box-pack: center;
box-pack: center;
/* Modern browsers */
justify-content: center;
}
.hbox.baseline,
.vbox.baseline,
.baseline {
/* Old browsers */
-webkit-box-pack: baseline;
-moz-box-pack: baseline;
box-pack: baseline;
/* Modern browsers */
justify-content: baseline;
}
.hbox.stretch,
.vbox.stretch,
.stretch {
/* Old browsers */
-webkit-box-pack: stretch;
-moz-box-pack: stretch;
box-pack: stretch;
/* Modern browsers */
justify-content: stretch;
}
.hbox.align-start,
.vbox.align-start,
.align-start {
/* Old browsers */
-webkit-box-align: start;
-moz-box-align: start;
box-align: start;
/* Modern browsers */
align-items: flex-start;
}
.hbox.align-end,
.vbox.align-end,
.align-end {
/* Old browsers */
-webkit-box-align: end;
-moz-box-align: end;
box-align: end;
/* Modern browsers */
align-items: flex-end;
}
.hbox.align-center,
.vbox.align-center,
.align-center {
/* Old browsers */
-webkit-box-align: center;
-moz-box-align: center;
box-align: center;
/* Modern browsers */
align-items: center;
}
.hbox.align-baseline,
.vbox.align-baseline,
.align-baseline {
/* Old browsers */
-webkit-box-align: baseline;
-moz-box-align: baseline;
box-align: baseline;
/* Modern browsers */
align-items: baseline;
}
.hbox.align-stretch,
.vbox.align-stretch,
.align-stretch {
/* Old browsers */
-webkit-box-align: stretch;
-moz-box-align: stretch;
box-align: stretch;
/* Modern browsers */
align-items: stretch;
}
div.error {
margin: 2em;
text-align: center;
}
div.error > h1 {
font-size: 500%;
line-height: normal;
}
div.error > p {
font-size: 200%;
line-height: normal;
}
div.traceback-wrapper {
text-align: left;
max-width: 800px;
margin: auto;
}
div.traceback-wrapper pre.traceback {
max-height: 600px;
overflow: auto;
}
/**
* Primary styles
*
* Author: Jupyter Development Team
*/
body {
background-color: #fff;
/* This makes sure that the body covers the entire window and needs to
be in a different element than the display: box in wrapper below */
position: absolute;
left: 0px;
right: 0px;
top: 0px;
bottom: 0px;
overflow: visible;
}
body > #header {
/* Initially hidden to prevent FLOUC */
display: none;
background-color: #fff;
/* Display over codemirror */
position: relative;
z-index: 100;
}
body > #header #header-container {
display: flex;
flex-direction: row;
justify-content: space-between;
padding: 5px;
padding-bottom: 5px;
padding-top: 5px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
body > #header .header-bar {
width: 100%;
height: 1px;
background: #e7e7e7;
margin-bottom: -1px;
}
@media print {
body > #header {
display: none !important;
}
}
#header-spacer {
width: 100%;
visibility: hidden;
}
@media print {
#header-spacer {
display: none;
}
}
#ipython_notebook {
padding-left: 0px;
padding-top: 1px;
padding-bottom: 1px;
}
[dir="rtl"] #ipython_notebook {
margin-right: 10px;
margin-left: 0;
}
[dir="rtl"] #ipython_notebook.pull-left {
float: right !important;
float: right;
}
.flex-spacer {
flex: 1;
}
#noscript {
width: auto;
padding-top: 16px;
padding-bottom: 16px;
text-align: center;
font-size: 22px;
color: red;
font-weight: bold;
}
#ipython_notebook img {
height: 28px;
}
#site {
width: 100%;
display: none;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
overflow: auto;
}
@media print {
#site {
height: auto !important;
}
}
/* Smaller buttons */
.ui-button .ui-button-text {
padding: 0.2em 0.8em;
font-size: 77%;
}
input.ui-button {
padding: 0.3em 0.9em;
}
span#kernel_logo_widget {
margin: 0 10px;
}
span#login_widget {
float: right;
}
[dir="rtl"] span#login_widget {
float: left;
}
span#login_widget > .button,
#logout {
color: #333;
background-color: #fff;
border-color: #ccc;
}
span#login_widget > .button:focus,
#logout:focus,
span#login_widget > .button.focus,
#logout.focus {
color: #333;
background-color: #e6e6e6;
border-color: #8c8c8c;
}
span#login_widget > .button:hover,
#logout:hover {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
span#login_widget > .button:active:hover,
#logout:active:hover,
span#login_widget > .button.active:hover,
#logout.active:hover,
.open > .dropdown-togglespan#login_widget > .button:hover,
.open > .dropdown-toggle#logout:hover,
span#login_widget > .button:active:focus,
#logout:active:focus,
span#login_widget > .button.active:focus,
#logout.active:focus,
.open > .dropdown-togglespan#login_widget > .button:focus,
.open > .dropdown-toggle#logout:focus,
span#login_widget > .button:active.focus,
#logout:active.focus,
span#login_widget > .button.active.focus,
#logout.active.focus,
.open > .dropdown-togglespan#login_widget > .button.focus,
.open > .dropdown-toggle#logout.focus {
color: #333;
background-color: #d4d4d4;
border-color: #8c8c8c;
}
span#login_widget > .button:active,
#logout:active,
span#login_widget > .button.active,
#logout.active,
.open > .dropdown-togglespan#login_widget > .button,
.open > .dropdown-toggle#logout {
background-image: none;
}
span#login_widget > .button.disabled:hover,
#logout.disabled:hover,
span#login_widget > .button[disabled]:hover,
#logout[disabled]:hover,
fieldset[disabled] span#login_widget > .button:hover,
fieldset[disabled] #logout:hover,
span#login_widget > .button.disabled:focus,
#logout.disabled:focus,
span#login_widget > .button[disabled]:focus,
#logout[disabled]:focus,
fieldset[disabled] span#login_widget > .button:focus,
fieldset[disabled] #logout:focus,
span#login_widget > .button.disabled.focus,
#logout.disabled.focus,
span#login_widget > .button[disabled].focus,
#logout[disabled].focus,
fieldset[disabled] span#login_widget > .button.focus,
fieldset[disabled] #logout.focus {
background-color: #fff;
border-color: #ccc;
}
span#login_widget > .button .badge,
#logout .badge {
color: #fff;
background-color: #333;
}
.nav-header {
text-transform: none;
}
#header > span {
margin-top: 10px;
}
.modal_stretch .modal-dialog {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
min-height: 80vh;
}
.modal_stretch .modal-dialog .modal-body {
max-height: calc(100vh - 200px);
overflow: auto;
flex: 1;
}
.modal-header {
cursor: move;
}
@media (min-width: 768px) {
.modal .modal-dialog {
width: 700px;
}
}
@media (min-width: 768px) {
select.form-control {
margin-left: 12px;
margin-right: 12px;
}
}
/*!
*
* IPython auth
*
*/
.center-nav {
display: inline-block;
margin-bottom: -4px;
}
[dir="rtl"] .center-nav form.pull-left {
float: right !important;
float: right;
}
[dir="rtl"] .center-nav .navbar-text {
float: right;
}
[dir="rtl"] .navbar-inner {
text-align: right;
}
[dir="rtl"] div.text-left {
text-align: right;
}
/*!
*
* IPython tree view
*
*/
/* We need an invisible input field on top of the sentense*/
/* "Drag file onto the list ..." */
.alternate_upload {
background-color: none;
display: inline;
}
.alternate_upload.form {
padding: 0;
margin: 0;
}
.alternate_upload input.fileinput {
position: absolute;
display: block;
width: 100%;
height: 100%;
overflow: hidden;
cursor: pointer;
opacity: 0;
z-index: 2;
}
.alternate_upload .btn-xs > input.fileinput {
margin: -1px -5px;
}
.alternate_upload .btn-upload {
position: relative;
height: 22px;
}
::-webkit-file-upload-button {
cursor: pointer;
}
/**
* Primary styles
*
* Author: Jupyter Development Team
*/
ul#tabs {
margin-bottom: 4px;
}
ul#tabs a {
padding-top: 6px;
padding-bottom: 4px;
}
[dir="rtl"] ul#tabs.nav-tabs > li {
float: right;
}
[dir="rtl"] ul#tabs.nav.nav-tabs {
padding-right: 0;
}
ul.breadcrumb a:focus,
ul.breadcrumb a:hover {
text-decoration: none;
}
ul.breadcrumb i.icon-home {
font-size: 16px;
margin-right: 4px;
}
ul.breadcrumb span {
color: #5e5e5e;
}
.list_toolbar {
padding: 4px 0 4px 0;
vertical-align: middle;
}
.list_toolbar .tree-buttons {
padding-top: 1px;
}
[dir="rtl"] .list_toolbar .tree-buttons .pull-right {
float: left !important;
float: left;
}
[dir="rtl"] .list_toolbar .col-sm-4,
[dir="rtl"] .list_toolbar .col-sm-8 {
float: right;
}
.dynamic-buttons {
padding-top: 3px;
display: inline-block;
}
.list_toolbar [class*="span"] {
min-height: 24px;
}
.list_header {
font-weight: bold;
background-color: #EEE;
}
.list_placeholder {
font-weight: bold;
padding-top: 4px;
padding-bottom: 4px;
padding-left: 7px;
padding-right: 7px;
}
.list_container {
margin-top: 4px;
margin-bottom: 20px;
border: 1px solid #ddd;
border-radius: 2px;
}
.list_container > div {
border-bottom: 1px solid #ddd;
}
.list_container > div:hover .list-item {
background-color: red;
}
.list_container > div:last-child {
border: none;
}
.list_item:hover .list_item {
background-color: #ddd;
}
.list_item a {
text-decoration: none;
}
.list_item:hover {
background-color: #fafafa;
}
.list_header > div,
.list_item > div {
padding-top: 4px;
padding-bottom: 4px;
padding-left: 7px;
padding-right: 7px;
line-height: 22px;
}
.list_header > div input,
.list_item > div input {
margin-right: 7px;
margin-left: 14px;
vertical-align: text-bottom;
line-height: 22px;
position: relative;
top: -1px;
}
.list_header > div .item_link,
.list_item > div .item_link {
margin-left: -1px;
vertical-align: baseline;
line-height: 22px;
}
[dir="rtl"] .list_item > div input {
margin-right: 0;
}
.new-file input[type=checkbox] {
visibility: hidden;
}
.item_name {
line-height: 22px;
height: 24px;
}
.item_icon {
font-size: 14px;
color: #5e5e5e;
margin-right: 7px;
margin-left: 7px;
line-height: 22px;
vertical-align: baseline;
}
.item_modified {
margin-right: 7px;
margin-left: 7px;
}
[dir="rtl"] .item_modified.pull-right {
float: left !important;
float: left;
}
.item_buttons {
line-height: 1em;
margin-left: -5px;
}
.item_buttons .btn,
.item_buttons .btn-group,
.item_buttons .input-group {
float: left;
}
.item_buttons > .btn,
.item_buttons > .btn-group,
.item_buttons > .input-group {
margin-left: 5px;
}
.item_buttons .btn {
min-width: 13ex;
}
.item_buttons .running-indicator {
padding-top: 4px;
color: #5cb85c;
}
.item_buttons .kernel-name {
padding-top: 4px;
color: #5bc0de;
margin-right: 7px;
float: left;
}
[dir="rtl"] .item_buttons.pull-right {
float: left !important;
float: left;
}
[dir="rtl"] .item_buttons .kernel-name {
margin-left: 7px;
float: right;
}
.toolbar_info {
height: 24px;
line-height: 24px;
}
.list_item input:not([type=checkbox]) {
padding-top: 3px;
padding-bottom: 3px;
height: 22px;
line-height: 14px;
margin: 0px;
}
.highlight_text {
color: blue;
}
#project_name {
display: inline-block;
padding-left: 7px;
margin-left: -2px;
}
#project_name > .breadcrumb {
padding: 0px;
margin-bottom: 0px;
background-color: transparent;
font-weight: bold;
}
.sort_button {
display: inline-block;
padding-left: 7px;
}
[dir="rtl"] .sort_button.pull-right {
float: left !important;
float: left;
}
#tree-selector {
padding-right: 0px;
}
#button-select-all {
min-width: 50px;
}
[dir="rtl"] #button-select-all.btn {
float: right ;
}
#select-all {
margin-left: 7px;
margin-right: 2px;
margin-top: 2px;
height: 16px;
}
[dir="rtl"] #select-all.pull-left {
float: right !important;
float: right;
}
.menu_icon {
margin-right: 2px;
}
.tab-content .row {
margin-left: 0px;
margin-right: 0px;
}
.folder_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f114";
}
.folder_icon:before.fa-pull-left {
margin-right: .3em;
}
.folder_icon:before.fa-pull-right {
margin-left: .3em;
}
.folder_icon:before.pull-left {
margin-right: .3em;
}
.folder_icon:before.pull-right {
margin-left: .3em;
}
.notebook_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f02d";
position: relative;
top: -1px;
}
.notebook_icon:before.fa-pull-left {
margin-right: .3em;
}
.notebook_icon:before.fa-pull-right {
margin-left: .3em;
}
.notebook_icon:before.pull-left {
margin-right: .3em;
}
.notebook_icon:before.pull-right {
margin-left: .3em;
}
.running_notebook_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f02d";
position: relative;
top: -1px;
color: #5cb85c;
}
.running_notebook_icon:before.fa-pull-left {
margin-right: .3em;
}
.running_notebook_icon:before.fa-pull-right {
margin-left: .3em;
}
.running_notebook_icon:before.pull-left {
margin-right: .3em;
}
.running_notebook_icon:before.pull-right {
margin-left: .3em;
}
.file_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f016";
position: relative;
top: -2px;
}
.file_icon:before.fa-pull-left {
margin-right: .3em;
}
.file_icon:before.fa-pull-right {
margin-left: .3em;
}
.file_icon:before.pull-left {
margin-right: .3em;
}
.file_icon:before.pull-right {
margin-left: .3em;
}
#notebook_toolbar .pull-right {
padding-top: 0px;
margin-right: -1px;
}
ul#new-menu {
left: auto;
right: 0;
}
#new-menu .dropdown-header {
font-size: 10px;
border-bottom: 1px solid #e5e5e5;
padding: 0 0 3px;
margin: -3px 20px 0;
}
.kernel-menu-icon {
padding-right: 12px;
width: 24px;
content: "\f096";
}
.kernel-menu-icon:before {
content: "\f096";
}
.kernel-menu-icon-current:before {
content: "\f00c";
}
#tab_content {
padding-top: 20px;
}
#running .panel-group .panel {
margin-top: 3px;
margin-bottom: 1em;
}
#running .panel-group .panel .panel-heading {
background-color: #EEE;
padding-top: 4px;
padding-bottom: 4px;
padding-left: 7px;
padding-right: 7px;
line-height: 22px;
}
#running .panel-group .panel .panel-heading a:focus,
#running .panel-group .panel .panel-heading a:hover {
text-decoration: none;
}
#running .panel-group .panel .panel-body {
padding: 0px;
}
#running .panel-group .panel .panel-body .list_container {
margin-top: 0px;
margin-bottom: 0px;
border: 0px;
border-radius: 0px;
}
#running .panel-group .panel .panel-body .list_container .list_item {
border-bottom: 1px solid #ddd;
}
#running .panel-group .panel .panel-body .list_container .list_item:last-child {
border-bottom: 0px;
}
.delete-button {
display: none;
}
.duplicate-button {
display: none;
}
.rename-button {
display: none;
}
.move-button {
display: none;
}
.download-button {
display: none;
}
.shutdown-button {
display: none;
}
.dynamic-instructions {
display: inline-block;
padding-top: 4px;
}
/*!
*
* IPython text editor webapp
*
*/
.selected-keymap i.fa {
padding: 0px 5px;
}
.selected-keymap i.fa:before {
content: "\f00c";
}
#mode-menu {
overflow: auto;
max-height: 20em;
}
.edit_app #header {
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.edit_app #menubar .navbar {
/* Use a negative 1 bottom margin, so the border overlaps the border of the
header */
margin-bottom: -1px;
}
.dirty-indicator {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
width: 20px;
}
.dirty-indicator.fa-pull-left {
margin-right: .3em;
}
.dirty-indicator.fa-pull-right {
margin-left: .3em;
}
.dirty-indicator.pull-left {
margin-right: .3em;
}
.dirty-indicator.pull-right {
margin-left: .3em;
}
.dirty-indicator-dirty {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
width: 20px;
}
.dirty-indicator-dirty.fa-pull-left {
margin-right: .3em;
}
.dirty-indicator-dirty.fa-pull-right {
margin-left: .3em;
}
.dirty-indicator-dirty.pull-left {
margin-right: .3em;
}
.dirty-indicator-dirty.pull-right {
margin-left: .3em;
}
.dirty-indicator-clean {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
width: 20px;
}
.dirty-indicator-clean.fa-pull-left {
margin-right: .3em;
}
.dirty-indicator-clean.fa-pull-right {
margin-left: .3em;
}
.dirty-indicator-clean.pull-left {
margin-right: .3em;
}
.dirty-indicator-clean.pull-right {
margin-left: .3em;
}
.dirty-indicator-clean:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f00c";
}
.dirty-indicator-clean:before.fa-pull-left {
margin-right: .3em;
}
.dirty-indicator-clean:before.fa-pull-right {
margin-left: .3em;
}
.dirty-indicator-clean:before.pull-left {
margin-right: .3em;
}
.dirty-indicator-clean:before.pull-right {
margin-left: .3em;
}
#filename {
font-size: 16pt;
display: table;
padding: 0px 5px;
}
#current-mode {
padding-left: 5px;
padding-right: 5px;
}
#texteditor-backdrop {
padding-top: 20px;
padding-bottom: 20px;
}
@media not print {
#texteditor-backdrop {
background-color: #EEE;
}
}
@media print {
#texteditor-backdrop #texteditor-container .CodeMirror-gutter,
#texteditor-backdrop #texteditor-container .CodeMirror-gutters {
background-color: #fff;
}
}
@media not print {
#texteditor-backdrop #texteditor-container .CodeMirror-gutter,
#texteditor-backdrop #texteditor-container .CodeMirror-gutters {
background-color: #fff;
}
}
@media not print {
#texteditor-backdrop #texteditor-container {
padding: 0px;
background-color: #fff;
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
}
.CodeMirror-dialog {
background-color: #fff;
}
/*!
*
* IPython notebook
*
*/
/* CSS font colors for translated ANSI escape sequences */
/* The color values are a mix of
http://www.xcolors.net/dl/baskerville-ivorylight and
http://www.xcolors.net/dl/euphrasia */
.ansi-black-fg {
color: #3E424D;
}
.ansi-black-bg {
background-color: #3E424D;
}
.ansi-black-intense-fg {
color: #282C36;
}
.ansi-black-intense-bg {
background-color: #282C36;
}
.ansi-red-fg {
color: #E75C58;
}
.ansi-red-bg {
background-color: #E75C58;
}
.ansi-red-intense-fg {
color: #B22B31;
}
.ansi-red-intense-bg {
background-color: #B22B31;
}
.ansi-green-fg {
color: #00A250;
}
.ansi-green-bg {
background-color: #00A250;
}
.ansi-green-intense-fg {
color: #007427;
}
.ansi-green-intense-bg {
background-color: #007427;
}
.ansi-yellow-fg {
color: #DDB62B;
}
.ansi-yellow-bg {
background-color: #DDB62B;
}
.ansi-yellow-intense-fg {
color: #B27D12;
}
.ansi-yellow-intense-bg {
background-color: #B27D12;
}
.ansi-blue-fg {
color: #208FFB;
}
.ansi-blue-bg {
background-color: #208FFB;
}
.ansi-blue-intense-fg {
color: #0065CA;
}
.ansi-blue-intense-bg {
background-color: #0065CA;
}
.ansi-magenta-fg {
color: #D160C4;
}
.ansi-magenta-bg {
background-color: #D160C4;
}
.ansi-magenta-intense-fg {
color: #A03196;
}
.ansi-magenta-intense-bg {
background-color: #A03196;
}
.ansi-cyan-fg {
color: #60C6C8;
}
.ansi-cyan-bg {
background-color: #60C6C8;
}
.ansi-cyan-intense-fg {
color: #258F8F;
}
.ansi-cyan-intense-bg {
background-color: #258F8F;
}
.ansi-white-fg {
color: #C5C1B4;
}
.ansi-white-bg {
background-color: #C5C1B4;
}
.ansi-white-intense-fg {
color: #A1A6B2;
}
.ansi-white-intense-bg {
background-color: #A1A6B2;
}
.ansi-default-inverse-fg {
color: #FFFFFF;
}
.ansi-default-inverse-bg {
background-color: #000000;
}
.ansi-bold {
font-weight: bold;
}
.ansi-underline {
text-decoration: underline;
}
/* The following styles are deprecated an will be removed in a future version */
.ansibold {
font-weight: bold;
}
.ansi-inverse {
outline: 0.5px dotted;
}
/* use dark versions for foreground, to improve visibility */
.ansiblack {
color: black;
}
.ansired {
color: darkred;
}
.ansigreen {
color: darkgreen;
}
.ansiyellow {
color: #c4a000;
}
.ansiblue {
color: darkblue;
}
.ansipurple {
color: darkviolet;
}
.ansicyan {
color: steelblue;
}
.ansigray {
color: gray;
}
/* and light for background, for the same reason */
.ansibgblack {
background-color: black;
}
.ansibgred {
background-color: red;
}
.ansibggreen {
background-color: green;
}
.ansibgyellow {
background-color: yellow;
}
.ansibgblue {
background-color: blue;
}
.ansibgpurple {
background-color: magenta;
}
.ansibgcyan {
background-color: cyan;
}
.ansibggray {
background-color: gray;
}
div.cell {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
border-radius: 2px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
border-width: 1px;
border-style: solid;
border-color: transparent;
width: 100%;
padding: 5px;
/* This acts as a spacer between cells, that is outside the border */
margin: 0px;
outline: none;
position: relative;
overflow: visible;
}
div.cell:before {
position: absolute;
display: block;
top: -1px;
left: -1px;
width: 5px;
height: calc(100% + 2px);
content: '';
background: transparent;
}
div.cell.jupyter-soft-selected {
border-left-color: #E3F2FD;
border-left-width: 1px;
padding-left: 5px;
border-right-color: #E3F2FD;
border-right-width: 1px;
background: #E3F2FD;
}
@media print {
div.cell.jupyter-soft-selected {
border-color: transparent;
}
}
div.cell.selected,
div.cell.selected.jupyter-soft-selected {
border-color: #ababab;
}
div.cell.selected:before,
div.cell.selected.jupyter-soft-selected:before {
position: absolute;
display: block;
top: -1px;
left: -1px;
width: 5px;
height: calc(100% + 2px);
content: '';
background: #42A5F5;
}
@media print {
div.cell.selected,
div.cell.selected.jupyter-soft-selected {
border-color: transparent;
}
}
.edit_mode div.cell.selected {
border-color: #66BB6A;
}
.edit_mode div.cell.selected:before {
position: absolute;
display: block;
top: -1px;
left: -1px;
width: 5px;
height: calc(100% + 2px);
content: '';
background: #66BB6A;
}
@media print {
.edit_mode div.cell.selected {
border-color: transparent;
}
}
.prompt {
/* This needs to be wide enough for 3 digit prompt numbers: In[100]: */
min-width: 14ex;
/* This padding is tuned to match the padding on the CodeMirror editor. */
padding: 0.4em;
margin: 0px;
font-family: monospace;
text-align: right;
/* This has to match that of the the CodeMirror class line-height below */
line-height: 1.21429em;
/* Don't highlight prompt number selection */
-webkit-touch-callout: none;
-webkit-user-select: none;
-khtml-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
user-select: none;
/* Use default cursor */
cursor: default;
}
@media (max-width: 540px) {
.prompt {
text-align: left;
}
}
div.inner_cell {
min-width: 0;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_area {
border: 1px solid #cfcfcf;
border-radius: 2px;
background: #f7f7f7;
line-height: 1.21429em;
}
/* This is needed so that empty prompt areas can collapse to zero height when there
is no content in the output_subarea and the prompt. The main purpose of this is
to make sure that empty JavaScript output_subareas have no height. */
div.prompt:empty {
padding-top: 0;
padding-bottom: 0;
}
div.unrecognized_cell {
padding: 5px 5px 5px 0px;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
div.unrecognized_cell .inner_cell {
border-radius: 2px;
padding: 5px;
font-weight: bold;
color: red;
border: 1px solid #cfcfcf;
background: #eaeaea;
}
div.unrecognized_cell .inner_cell a {
color: inherit;
text-decoration: none;
}
div.unrecognized_cell .inner_cell a:hover {
color: inherit;
text-decoration: none;
}
@media (max-width: 540px) {
div.unrecognized_cell > div.prompt {
display: none;
}
}
div.code_cell {
/* avoid page breaking on code cells when printing */
}
@media print {
div.code_cell {
page-break-inside: avoid;
}
}
/* any special styling for code cells that are currently running goes here */
div.input {
page-break-inside: avoid;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
@media (max-width: 540px) {
div.input {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
}
/* input_area and input_prompt must match in top border and margin for alignment */
div.input_prompt {
color: #303F9F;
border-top: 1px solid transparent;
}
div.input_area > div.highlight {
margin: 0.4em;
border: none;
padding: 0px;
background-color: transparent;
}
div.input_area > div.highlight > pre {
margin: 0px;
border: none;
padding: 0px;
background-color: transparent;
}
/* The following gets added to the <head> if it is detected that the user has a
* monospace font with inconsistent normal/bold/italic height. See
* notebookmain.js. Such fonts will have keywords vertically offset with
* respect to the rest of the text. The user should select a better font.
* See: https://github.com/ipython/ipython/issues/1503
*
* .CodeMirror span {
* vertical-align: bottom;
* }
*/
.CodeMirror {
line-height: 1.21429em;
/* Changed from 1em to our global default */
font-size: 14px;
height: auto;
/* Changed to auto to autogrow */
background: none;
/* Changed from white to allow our bg to show through */
}
.CodeMirror-scroll {
/* The CodeMirror docs are a bit fuzzy on if overflow-y should be hidden or visible.*/
/* We have found that if it is visible, vertical scrollbars appear with font size changes.*/
overflow-y: hidden;
overflow-x: auto;
}
.CodeMirror-lines {
/* In CM2, this used to be 0.4em, but in CM3 it went to 4px. We need the em value because */
/* we have set a different line-height and want this to scale with that. */
/* Note that this should set vertical padding only, since CodeMirror assumes
that horizontal padding will be set on CodeMirror pre */
padding: 0.4em 0;
}
.CodeMirror-linenumber {
padding: 0 8px 0 4px;
}
.CodeMirror-gutters {
border-bottom-left-radius: 2px;
border-top-left-radius: 2px;
}
.CodeMirror pre {
/* In CM3 this went to 4px from 0 in CM2. This sets horizontal padding only,
use .CodeMirror-lines for vertical */
padding: 0 0.4em;
border: 0;
border-radius: 0;
}
.CodeMirror-cursor {
border-left: 1.4px solid black;
}
@media screen and (min-width: 2138px) and (max-width: 4319px) {
.CodeMirror-cursor {
border-left: 2px solid black;
}
}
@media screen and (min-width: 4320px) {
.CodeMirror-cursor {
border-left: 4px solid black;
}
}
/*
Original style from softwaremaniacs.org (c) Ivan Sagalaev <Maniac@SoftwareManiacs.Org>
Adapted from GitHub theme
*/
.highlight-base {
color: #000;
}
.highlight-variable {
color: #000;
}
.highlight-variable-2 {
color: #1a1a1a;
}
.highlight-variable-3 {
color: #333333;
}
.highlight-string {
color: #BA2121;
}
.highlight-comment {
color: #408080;
font-style: italic;
}
.highlight-number {
color: #080;
}
.highlight-atom {
color: #88F;
}
.highlight-keyword {
color: #008000;
font-weight: bold;
}
.highlight-builtin {
color: #008000;
}
.highlight-error {
color: #f00;
}
.highlight-operator {
color: #AA22FF;
font-weight: bold;
}
.highlight-meta {
color: #AA22FF;
}
/* previously not defined, copying from default codemirror */
.highlight-def {
color: #00f;
}
.highlight-string-2 {
color: #f50;
}
.highlight-qualifier {
color: #555;
}
.highlight-bracket {
color: #997;
}
.highlight-tag {
color: #170;
}
.highlight-attribute {
color: #00c;
}
.highlight-header {
color: blue;
}
.highlight-quote {
color: #090;
}
.highlight-link {
color: #00c;
}
/* apply the same style to codemirror */
.cm-s-ipython span.cm-keyword {
color: #008000;
font-weight: bold;
}
.cm-s-ipython span.cm-atom {
color: #88F;
}
.cm-s-ipython span.cm-number {
color: #080;
}
.cm-s-ipython span.cm-def {
color: #00f;
}
.cm-s-ipython span.cm-variable {
color: #000;
}
.cm-s-ipython span.cm-operator {
color: #AA22FF;
font-weight: bold;
}
.cm-s-ipython span.cm-variable-2 {
color: #1a1a1a;
}
.cm-s-ipython span.cm-variable-3 {
color: #333333;
}
.cm-s-ipython span.cm-comment {
color: #408080;
font-style: italic;
}
.cm-s-ipython span.cm-string {
color: #BA2121;
}
.cm-s-ipython span.cm-string-2 {
color: #f50;
}
.cm-s-ipython span.cm-meta {
color: #AA22FF;
}
.cm-s-ipython span.cm-qualifier {
color: #555;
}
.cm-s-ipython span.cm-builtin {
color: #008000;
}
.cm-s-ipython span.cm-bracket {
color: #997;
}
.cm-s-ipython span.cm-tag {
color: #170;
}
.cm-s-ipython span.cm-attribute {
color: #00c;
}
.cm-s-ipython span.cm-header {
color: blue;
}
.cm-s-ipython span.cm-quote {
color: #090;
}
.cm-s-ipython span.cm-link {
color: #00c;
}
.cm-s-ipython span.cm-error {
color: #f00;
}
.cm-s-ipython span.cm-tab {
background: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAMCAYAAAAkuj5RAAAAAXNSR0IArs4c6QAAAGFJREFUSMft1LsRQFAQheHPowAKoACx3IgEKtaEHujDjORSgWTH/ZOdnZOcM/sgk/kFFWY0qV8foQwS4MKBCS3qR6ixBJvElOobYAtivseIE120FaowJPN75GMu8j/LfMwNjh4HUpwg4LUAAAAASUVORK5CYII=);
background-position: right;
background-repeat: no-repeat;
}
div.output_wrapper {
/* this position must be relative to enable descendents to be absolute within it */
position: relative;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
z-index: 1;
}
/* class for the output area when it should be height-limited */
div.output_scroll {
/* ideally, this would be max-height, but FF barfs all over that */
height: 24em;
/* FF needs this *and the wrapper* to specify full width, or it will shrinkwrap */
width: 100%;
overflow: auto;
border-radius: 2px;
-webkit-box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
box-shadow: inset 0 2px 8px rgba(0, 0, 0, 0.8);
display: block;
}
/* output div while it is collapsed */
div.output_collapsed {
margin: 0px;
padding: 0px;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
div.out_prompt_overlay {
height: 100%;
padding: 0px 0.4em;
position: absolute;
border-radius: 2px;
}
div.out_prompt_overlay:hover {
/* use inner shadow to get border that is computed the same on WebKit/FF */
-webkit-box-shadow: inset 0 0 1px #000;
box-shadow: inset 0 0 1px #000;
background: rgba(240, 240, 240, 0.5);
}
div.output_prompt {
color: #D84315;
}
/* This class is the outer container of all output sections. */
div.output_area {
padding: 0px;
page-break-inside: avoid;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
div.output_area .MathJax_Display {
text-align: left !important;
}
div.output_area .rendered_html table {
margin-left: 0;
margin-right: 0;
}
div.output_area .rendered_html img {
margin-left: 0;
margin-right: 0;
}
div.output_area img,
div.output_area svg {
max-width: 100%;
height: auto;
}
div.output_area img.unconfined,
div.output_area svg.unconfined {
max-width: none;
}
div.output_area .mglyph > img {
max-width: none;
}
/* This is needed to protect the pre formating from global settings such
as that of bootstrap */
.output {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
@media (max-width: 540px) {
div.output_area {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: vertical;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: vertical;
-moz-box-align: stretch;
display: box;
box-orient: vertical;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: column;
align-items: stretch;
}
}
div.output_area pre {
margin: 0;
padding: 1px 0 1px 0;
border: 0;
vertical-align: baseline;
color: black;
background-color: transparent;
border-radius: 0;
}
/* This class is for the output subarea inside the output_area and after
the prompt div. */
div.output_subarea {
overflow-x: auto;
padding: 0.4em;
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
max-width: calc(100% - 14ex);
}
div.output_scroll div.output_subarea {
overflow-x: visible;
}
/* The rest of the output_* classes are for special styling of the different
output types */
/* all text output has this class: */
div.output_text {
text-align: left;
color: #000;
/* This has to match that of the the CodeMirror class line-height below */
line-height: 1.21429em;
}
/* stdout/stderr are 'text' as well as 'stream', but execute_result/error are *not* streams */
div.output_stderr {
background: #fdd;
/* very light red background for stderr */
}
div.output_latex {
text-align: left;
}
/* Empty output_javascript divs should have no height */
div.output_javascript:empty {
padding: 0;
}
.js-error {
color: darkred;
}
/* raw_input styles */
div.raw_input_container {
line-height: 1.21429em;
padding-top: 5px;
}
pre.raw_input_prompt {
/* nothing needed here. */
}
input.raw_input {
font-family: monospace;
font-size: inherit;
color: inherit;
width: auto;
/* make sure input baseline aligns with prompt */
vertical-align: baseline;
/* padding + margin = 0.5em between prompt and cursor */
padding: 0em 0.25em;
margin: 0em 0.25em;
}
input.raw_input:focus {
box-shadow: none;
}
p.p-space {
margin-bottom: 10px;
}
div.output_unrecognized {
padding: 5px;
font-weight: bold;
color: red;
}
div.output_unrecognized a {
color: inherit;
text-decoration: none;
}
div.output_unrecognized a:hover {
color: inherit;
text-decoration: none;
}
.rendered_html {
color: #000;
/* any extras will just be numbers: */
}
.rendered_html em {
font-style: italic;
}
.rendered_html strong {
font-weight: bold;
}
.rendered_html u {
text-decoration: underline;
}
.rendered_html :link {
text-decoration: underline;
}
.rendered_html :visited {
text-decoration: underline;
}
.rendered_html h1 {
font-size: 185.7%;
margin: 1.08em 0 0 0;
font-weight: bold;
line-height: 1.0;
}
.rendered_html h2 {
font-size: 157.1%;
margin: 1.27em 0 0 0;
font-weight: bold;
line-height: 1.0;
}
.rendered_html h3 {
font-size: 128.6%;
margin: 1.55em 0 0 0;
font-weight: bold;
line-height: 1.0;
}
.rendered_html h4 {
font-size: 100%;
margin: 2em 0 0 0;
font-weight: bold;
line-height: 1.0;
}
.rendered_html h5 {
font-size: 100%;
margin: 2em 0 0 0;
font-weight: bold;
line-height: 1.0;
font-style: italic;
}
.rendered_html h6 {
font-size: 100%;
margin: 2em 0 0 0;
font-weight: bold;
line-height: 1.0;
font-style: italic;
}
.rendered_html h1:first-child {
margin-top: 0.538em;
}
.rendered_html h2:first-child {
margin-top: 0.636em;
}
.rendered_html h3:first-child {
margin-top: 0.777em;
}
.rendered_html h4:first-child {
margin-top: 1em;
}
.rendered_html h5:first-child {
margin-top: 1em;
}
.rendered_html h6:first-child {
margin-top: 1em;
}
.rendered_html ul:not(.list-inline),
.rendered_html ol:not(.list-inline) {
padding-left: 2em;
}
.rendered_html ul {
list-style: disc;
}
.rendered_html ul ul {
list-style: square;
margin-top: 0;
}
.rendered_html ul ul ul {
list-style: circle;
}
.rendered_html ol {
list-style: decimal;
}
.rendered_html ol ol {
list-style: upper-alpha;
margin-top: 0;
}
.rendered_html ol ol ol {
list-style: lower-alpha;
}
.rendered_html ol ol ol ol {
list-style: lower-roman;
}
.rendered_html ol ol ol ol ol {
list-style: decimal;
}
.rendered_html * + ul {
margin-top: 1em;
}
.rendered_html * + ol {
margin-top: 1em;
}
.rendered_html hr {
color: black;
background-color: black;
}
.rendered_html pre {
margin: 1em 2em;
padding: 0px;
background-color: #fff;
}
.rendered_html code {
background-color: #eff0f1;
}
.rendered_html p code {
padding: 1px 5px;
}
.rendered_html pre code {
background-color: #fff;
}
.rendered_html pre,
.rendered_html code {
border: 0;
color: #000;
font-size: 100%;
}
.rendered_html blockquote {
margin: 1em 2em;
}
.rendered_html table {
margin-left: auto;
margin-right: auto;
border: none;
border-collapse: collapse;
border-spacing: 0;
color: black;
font-size: 12px;
table-layout: fixed;
}
.rendered_html thead {
border-bottom: 1px solid black;
vertical-align: bottom;
}
.rendered_html tr,
.rendered_html th,
.rendered_html td {
text-align: right;
vertical-align: middle;
padding: 0.5em 0.5em;
line-height: normal;
white-space: normal;
max-width: none;
border: none;
}
.rendered_html th {
font-weight: bold;
}
.rendered_html tbody tr:nth-child(odd) {
background: #f5f5f5;
}
.rendered_html tbody tr:hover {
background: rgba(66, 165, 245, 0.2);
}
.rendered_html * + table {
margin-top: 1em;
}
.rendered_html p {
text-align: left;
}
.rendered_html * + p {
margin-top: 1em;
}
.rendered_html img {
display: block;
margin-left: auto;
margin-right: auto;
}
.rendered_html * + img {
margin-top: 1em;
}
.rendered_html img,
.rendered_html svg {
max-width: 100%;
height: auto;
}
.rendered_html img.unconfined,
.rendered_html svg.unconfined {
max-width: none;
}
.rendered_html .alert {
margin-bottom: initial;
}
.rendered_html * + .alert {
margin-top: 1em;
}
[dir="rtl"] .rendered_html p {
text-align: right;
}
div.text_cell {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
}
@media (max-width: 540px) {
div.text_cell > div.prompt {
display: none;
}
}
div.text_cell_render {
/*font-family: "Helvetica Neue", Arial, Helvetica, Geneva, sans-serif;*/
outline: none;
resize: none;
width: inherit;
border-style: none;
padding: 0.5em 0.5em 0.5em 0.4em;
color: #000;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
a.anchor-link:link {
text-decoration: none;
padding: 0px 20px;
visibility: hidden;
}
h1:hover .anchor-link,
h2:hover .anchor-link,
h3:hover .anchor-link,
h4:hover .anchor-link,
h5:hover .anchor-link,
h6:hover .anchor-link {
visibility: visible;
}
.text_cell.rendered .input_area {
display: none;
}
.text_cell.rendered .rendered_html {
overflow-x: auto;
overflow-y: hidden;
}
.text_cell.rendered .rendered_html tr,
.text_cell.rendered .rendered_html th,
.text_cell.rendered .rendered_html td {
max-width: none;
}
.text_cell.unrendered .text_cell_render {
display: none;
}
.text_cell .dropzone .input_area {
border: 2px dashed #bababa;
margin: -1px;
}
.cm-header-1,
.cm-header-2,
.cm-header-3,
.cm-header-4,
.cm-header-5,
.cm-header-6 {
font-weight: bold;
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.cm-header-1 {
font-size: 185.7%;
}
.cm-header-2 {
font-size: 157.1%;
}
.cm-header-3 {
font-size: 128.6%;
}
.cm-header-4 {
font-size: 110%;
}
.cm-header-5 {
font-size: 100%;
font-style: italic;
}
.cm-header-6 {
font-size: 100%;
font-style: italic;
}
/*!
*
* IPython notebook webapp
*
*/
@media (max-width: 767px) {
.notebook_app {
padding-left: 0px;
padding-right: 0px;
}
}
#ipython-main-app {
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
height: 100%;
}
div#notebook_panel {
margin: 0px;
padding: 0px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
height: 100%;
}
div#notebook {
font-size: 14px;
line-height: 20px;
overflow-y: hidden;
overflow-x: auto;
width: 100%;
/* This spaces the page away from the edge of the notebook area */
padding-top: 20px;
margin: 0px;
outline: none;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
min-height: 100%;
}
@media not print {
#notebook-container {
padding: 15px;
background-color: #fff;
min-height: 0;
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
}
@media print {
#notebook-container {
width: 100%;
}
}
div.ui-widget-content {
border: 1px solid #ababab;
outline: none;
}
pre.dialog {
background-color: #f7f7f7;
border: 1px solid #ddd;
border-radius: 2px;
padding: 0.4em;
padding-left: 2em;
}
p.dialog {
padding: 0.2em;
}
/* Word-wrap output correctly. This is the CSS3 spelling, though Firefox seems
to not honor it correctly. Webkit browsers (Chrome, rekonq, Safari) do.
*/
pre,
code,
kbd,
samp {
white-space: pre-wrap;
}
#fonttest {
font-family: monospace;
}
p {
margin-bottom: 0;
}
.end_space {
min-height: 100px;
transition: height .2s ease;
}
.notebook_app > #header {
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
@media not print {
.notebook_app {
background-color: #EEE;
}
}
kbd {
border-style: solid;
border-width: 1px;
box-shadow: none;
margin: 2px;
padding-left: 2px;
padding-right: 2px;
padding-top: 1px;
padding-bottom: 1px;
}
.jupyter-keybindings {
padding: 1px;
line-height: 24px;
border-bottom: 1px solid gray;
}
.jupyter-keybindings input {
margin: 0;
padding: 0;
border: none;
}
.jupyter-keybindings i {
padding: 6px;
}
.well code {
background-color: #ffffff;
border-color: #ababab;
border-width: 1px;
border-style: solid;
padding: 2px;
padding-top: 1px;
padding-bottom: 1px;
}
/* CSS for the cell toolbar */
.celltoolbar {
border: thin solid #CFCFCF;
border-bottom: none;
background: #EEE;
border-radius: 2px 2px 0px 0px;
width: 100%;
height: 29px;
padding-right: 4px;
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
/* Old browsers */
-webkit-box-pack: end;
-moz-box-pack: end;
box-pack: end;
/* Modern browsers */
justify-content: flex-end;
display: -webkit-flex;
}
@media print {
.celltoolbar {
display: none;
}
}
.ctb_hideshow {
display: none;
vertical-align: bottom;
}
/* ctb_show is added to the ctb_hideshow div to show the cell toolbar.
Cell toolbars are only shown when the ctb_global_show class is also set.
*/
.ctb_global_show .ctb_show.ctb_hideshow {
display: block;
}
.ctb_global_show .ctb_show + .input_area,
.ctb_global_show .ctb_show + div.text_cell_input,
.ctb_global_show .ctb_show ~ div.text_cell_render {
border-top-right-radius: 0px;
border-top-left-radius: 0px;
}
.ctb_global_show .ctb_show ~ div.text_cell_render {
border: 1px solid #cfcfcf;
}
.celltoolbar {
font-size: 87%;
padding-top: 3px;
}
.celltoolbar select {
display: block;
width: 100%;
height: 32px;
padding: 6px 12px;
font-size: 13px;
line-height: 1.42857143;
color: #555555;
background-color: #fff;
background-image: none;
border: 1px solid #ccc;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
-webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
-o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
width: inherit;
font-size: inherit;
height: 22px;
padding: 0px;
display: inline-block;
}
.celltoolbar select:focus {
border-color: #66afe9;
outline: 0;
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.celltoolbar select::-moz-placeholder {
color: #999;
opacity: 1;
}
.celltoolbar select:-ms-input-placeholder {
color: #999;
}
.celltoolbar select::-webkit-input-placeholder {
color: #999;
}
.celltoolbar select::-ms-expand {
border: 0;
background-color: transparent;
}
.celltoolbar select[disabled],
.celltoolbar select[readonly],
fieldset[disabled] .celltoolbar select {
background-color: #eeeeee;
opacity: 1;
}
.celltoolbar select[disabled],
fieldset[disabled] .celltoolbar select {
cursor: not-allowed;
}
textarea.celltoolbar select {
height: auto;
}
select.celltoolbar select {
height: 30px;
line-height: 30px;
}
textarea.celltoolbar select,
select[multiple].celltoolbar select {
height: auto;
}
.celltoolbar label {
margin-left: 5px;
margin-right: 5px;
}
.tags_button_container {
width: 100%;
display: flex;
}
.tag-container {
display: flex;
flex-direction: row;
flex-grow: 1;
overflow: hidden;
position: relative;
}
.tag-container > * {
margin: 0 4px;
}
.remove-tag-btn {
margin-left: 4px;
}
.tags-input {
display: flex;
}
.cell-tag:last-child:after {
content: "";
position: absolute;
right: 0;
width: 40px;
height: 100%;
/* Fade to background color of cell toolbar */
background: linear-gradient(to right, rgba(0, 0, 0, 0), #EEE);
}
.tags-input > * {
margin-left: 4px;
}
.cell-tag,
.tags-input input,
.tags-input button {
display: block;
width: 100%;
height: 32px;
padding: 6px 12px;
font-size: 13px;
line-height: 1.42857143;
color: #555555;
background-color: #fff;
background-image: none;
border: 1px solid #ccc;
border-radius: 2px;
-webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.075);
-webkit-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
-o-transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
transition: border-color ease-in-out .15s, box-shadow ease-in-out .15s;
height: 30px;
padding: 5px 10px;
font-size: 12px;
line-height: 1.5;
border-radius: 1px;
box-shadow: none;
width: inherit;
font-size: inherit;
height: 22px;
line-height: 22px;
padding: 0px 4px;
display: inline-block;
}
.cell-tag:focus,
.tags-input input:focus,
.tags-input button:focus {
border-color: #66afe9;
outline: 0;
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
box-shadow: inset 0 1px 1px rgba(0,0,0,.075), 0 0 8px rgba(102, 175, 233, 0.6);
}
.cell-tag::-moz-placeholder,
.tags-input input::-moz-placeholder,
.tags-input button::-moz-placeholder {
color: #999;
opacity: 1;
}
.cell-tag:-ms-input-placeholder,
.tags-input input:-ms-input-placeholder,
.tags-input button:-ms-input-placeholder {
color: #999;
}
.cell-tag::-webkit-input-placeholder,
.tags-input input::-webkit-input-placeholder,
.tags-input button::-webkit-input-placeholder {
color: #999;
}
.cell-tag::-ms-expand,
.tags-input input::-ms-expand,
.tags-input button::-ms-expand {
border: 0;
background-color: transparent;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
.cell-tag[readonly],
.tags-input input[readonly],
.tags-input button[readonly],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
background-color: #eeeeee;
opacity: 1;
}
.cell-tag[disabled],
.tags-input input[disabled],
.tags-input button[disabled],
fieldset[disabled] .cell-tag,
fieldset[disabled] .tags-input input,
fieldset[disabled] .tags-input button {
cursor: not-allowed;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button {
height: auto;
}
select.cell-tag,
select.tags-input input,
select.tags-input button {
height: 30px;
line-height: 30px;
}
textarea.cell-tag,
textarea.tags-input input,
textarea.tags-input button,
select[multiple].cell-tag,
select[multiple].tags-input input,
select[multiple].tags-input button {
height: auto;
}
.cell-tag,
.tags-input button {
padding: 0px 4px;
}
.cell-tag {
background-color: #fff;
white-space: nowrap;
}
.tags-input input[type=text]:focus {
outline: none;
box-shadow: none;
border-color: #ccc;
}
.completions {
position: absolute;
z-index: 110;
overflow: hidden;
border: 1px solid #ababab;
border-radius: 2px;
-webkit-box-shadow: 0px 6px 10px -1px #adadad;
box-shadow: 0px 6px 10px -1px #adadad;
line-height: 1;
}
.completions select {
background: white;
outline: none;
border: none;
padding: 0px;
margin: 0px;
overflow: auto;
font-family: monospace;
font-size: 110%;
color: #000;
width: auto;
}
.completions select option.context {
color: #286090;
}
#kernel_logo_widget .current_kernel_logo {
display: none;
margin-top: -1px;
margin-bottom: -1px;
width: 32px;
height: 32px;
}
[dir="rtl"] #kernel_logo_widget {
float: left !important;
float: left;
}
.modal .modal-body .move-path {
display: flex;
flex-direction: row;
justify-content: space;
align-items: center;
}
.modal .modal-body .move-path .server-root {
padding-right: 20px;
}
.modal .modal-body .move-path .path-input {
flex: 1;
}
#menubar {
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
margin-top: 1px;
}
#menubar .navbar {
border-top: 1px;
border-radius: 0px 0px 2px 2px;
margin-bottom: 0px;
}
#menubar .navbar-toggle {
float: left;
padding-top: 7px;
padding-bottom: 7px;
border: none;
}
#menubar .navbar-collapse {
clear: left;
}
[dir="rtl"] #menubar .navbar-toggle {
float: right;
}
[dir="rtl"] #menubar .navbar-collapse {
clear: right;
}
[dir="rtl"] #menubar .navbar-nav {
float: right;
}
[dir="rtl"] #menubar .nav {
padding-right: 0px;
}
[dir="rtl"] #menubar .navbar-nav > li {
float: right;
}
[dir="rtl"] #menubar .navbar-right {
float: left !important;
}
[dir="rtl"] ul.dropdown-menu {
text-align: right;
left: auto;
}
[dir="rtl"] ul#new-menu.dropdown-menu {
right: auto;
left: 0;
}
.nav-wrapper {
border-bottom: 1px solid #e7e7e7;
}
i.menu-icon {
padding-top: 4px;
}
[dir="rtl"] i.menu-icon.pull-right {
float: left !important;
float: left;
}
ul#help_menu li a {
overflow: hidden;
padding-right: 2.2em;
}
ul#help_menu li a i {
margin-right: -1.2em;
}
[dir="rtl"] ul#help_menu li a {
padding-left: 2.2em;
}
[dir="rtl"] ul#help_menu li a i {
margin-right: 0;
margin-left: -1.2em;
}
[dir="rtl"] ul#help_menu li a i.pull-right {
float: left !important;
float: left;
}
.dropdown-submenu {
position: relative;
}
.dropdown-submenu > .dropdown-menu {
top: 0;
left: 100%;
margin-top: -6px;
margin-left: -1px;
}
[dir="rtl"] .dropdown-submenu > .dropdown-menu {
right: 100%;
margin-right: -1px;
}
.dropdown-submenu:hover > .dropdown-menu {
display: block;
}
.dropdown-submenu > a:after {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
display: block;
content: "\f0da";
float: right;
color: #333333;
margin-top: 2px;
margin-right: -10px;
}
.dropdown-submenu > a:after.fa-pull-left {
margin-right: .3em;
}
.dropdown-submenu > a:after.fa-pull-right {
margin-left: .3em;
}
.dropdown-submenu > a:after.pull-left {
margin-right: .3em;
}
.dropdown-submenu > a:after.pull-right {
margin-left: .3em;
}
[dir="rtl"] .dropdown-submenu > a:after {
float: left;
content: "\f0d9";
margin-right: 0;
margin-left: -10px;
}
.dropdown-submenu:hover > a:after {
color: #262626;
}
.dropdown-submenu.pull-left {
float: none;
}
.dropdown-submenu.pull-left > .dropdown-menu {
left: -100%;
margin-left: 10px;
}
#notification_area {
float: right !important;
float: right;
z-index: 10;
}
[dir="rtl"] #notification_area {
float: left !important;
float: left;
}
.indicator_area {
float: right !important;
float: right;
color: #777;
margin-left: 5px;
margin-right: 5px;
width: 11px;
z-index: 10;
text-align: center;
width: auto;
}
[dir="rtl"] .indicator_area {
float: left !important;
float: left;
}
#kernel_indicator {
float: right !important;
float: right;
color: #777;
margin-left: 5px;
margin-right: 5px;
width: 11px;
z-index: 10;
text-align: center;
width: auto;
border-left: 1px solid;
}
#kernel_indicator .kernel_indicator_name {
padding-left: 5px;
padding-right: 5px;
}
[dir="rtl"] #kernel_indicator {
float: left !important;
float: left;
border-left: 0;
border-right: 1px solid;
}
#modal_indicator {
float: right !important;
float: right;
color: #777;
margin-left: 5px;
margin-right: 5px;
width: 11px;
z-index: 10;
text-align: center;
width: auto;
}
[dir="rtl"] #modal_indicator {
float: left !important;
float: left;
}
#readonly-indicator {
float: right !important;
float: right;
color: #777;
margin-left: 5px;
margin-right: 5px;
width: 11px;
z-index: 10;
text-align: center;
width: auto;
margin-top: 2px;
margin-bottom: 0px;
margin-left: 0px;
margin-right: 0px;
display: none;
}
.modal_indicator:before {
width: 1.28571429em;
text-align: center;
}
.edit_mode .modal_indicator:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f040";
}
.edit_mode .modal_indicator:before.fa-pull-left {
margin-right: .3em;
}
.edit_mode .modal_indicator:before.fa-pull-right {
margin-left: .3em;
}
.edit_mode .modal_indicator:before.pull-left {
margin-right: .3em;
}
.edit_mode .modal_indicator:before.pull-right {
margin-left: .3em;
}
.command_mode .modal_indicator:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: ' ';
}
.command_mode .modal_indicator:before.fa-pull-left {
margin-right: .3em;
}
.command_mode .modal_indicator:before.fa-pull-right {
margin-left: .3em;
}
.command_mode .modal_indicator:before.pull-left {
margin-right: .3em;
}
.command_mode .modal_indicator:before.pull-right {
margin-left: .3em;
}
.kernel_idle_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f10c";
}
.kernel_idle_icon:before.fa-pull-left {
margin-right: .3em;
}
.kernel_idle_icon:before.fa-pull-right {
margin-left: .3em;
}
.kernel_idle_icon:before.pull-left {
margin-right: .3em;
}
.kernel_idle_icon:before.pull-right {
margin-left: .3em;
}
.kernel_busy_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f111";
}
.kernel_busy_icon:before.fa-pull-left {
margin-right: .3em;
}
.kernel_busy_icon:before.fa-pull-right {
margin-left: .3em;
}
.kernel_busy_icon:before.pull-left {
margin-right: .3em;
}
.kernel_busy_icon:before.pull-right {
margin-left: .3em;
}
.kernel_dead_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f1e2";
}
.kernel_dead_icon:before.fa-pull-left {
margin-right: .3em;
}
.kernel_dead_icon:before.fa-pull-right {
margin-left: .3em;
}
.kernel_dead_icon:before.pull-left {
margin-right: .3em;
}
.kernel_dead_icon:before.pull-right {
margin-left: .3em;
}
.kernel_disconnected_icon:before {
display: inline-block;
font: normal normal normal 14px/1 FontAwesome;
font-size: inherit;
text-rendering: auto;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
content: "\f127";
}
.kernel_disconnected_icon:before.fa-pull-left {
margin-right: .3em;
}
.kernel_disconnected_icon:before.fa-pull-right {
margin-left: .3em;
}
.kernel_disconnected_icon:before.pull-left {
margin-right: .3em;
}
.kernel_disconnected_icon:before.pull-right {
margin-left: .3em;
}
.notification_widget {
color: #777;
z-index: 10;
background: rgba(240, 240, 240, 0.5);
margin-right: 4px;
color: #333;
background-color: #fff;
border-color: #ccc;
}
.notification_widget:focus,
.notification_widget.focus {
color: #333;
background-color: #e6e6e6;
border-color: #8c8c8c;
}
.notification_widget:hover {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
color: #333;
background-color: #e6e6e6;
border-color: #adadad;
}
.notification_widget:active:hover,
.notification_widget.active:hover,
.open > .dropdown-toggle.notification_widget:hover,
.notification_widget:active:focus,
.notification_widget.active:focus,
.open > .dropdown-toggle.notification_widget:focus,
.notification_widget:active.focus,
.notification_widget.active.focus,
.open > .dropdown-toggle.notification_widget.focus {
color: #333;
background-color: #d4d4d4;
border-color: #8c8c8c;
}
.notification_widget:active,
.notification_widget.active,
.open > .dropdown-toggle.notification_widget {
background-image: none;
}
.notification_widget.disabled:hover,
.notification_widget[disabled]:hover,
fieldset[disabled] .notification_widget:hover,
.notification_widget.disabled:focus,
.notification_widget[disabled]:focus,
fieldset[disabled] .notification_widget:focus,
.notification_widget.disabled.focus,
.notification_widget[disabled].focus,
fieldset[disabled] .notification_widget.focus {
background-color: #fff;
border-color: #ccc;
}
.notification_widget .badge {
color: #fff;
background-color: #333;
}
.notification_widget.warning {
color: #fff;
background-color: #f0ad4e;
border-color: #eea236;
}
.notification_widget.warning:focus,
.notification_widget.warning.focus {
color: #fff;
background-color: #ec971f;
border-color: #985f0d;
}
.notification_widget.warning:hover {
color: #fff;
background-color: #ec971f;
border-color: #d58512;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
color: #fff;
background-color: #ec971f;
border-color: #d58512;
}
.notification_widget.warning:active:hover,
.notification_widget.warning.active:hover,
.open > .dropdown-toggle.notification_widget.warning:hover,
.notification_widget.warning:active:focus,
.notification_widget.warning.active:focus,
.open > .dropdown-toggle.notification_widget.warning:focus,
.notification_widget.warning:active.focus,
.notification_widget.warning.active.focus,
.open > .dropdown-toggle.notification_widget.warning.focus {
color: #fff;
background-color: #d58512;
border-color: #985f0d;
}
.notification_widget.warning:active,
.notification_widget.warning.active,
.open > .dropdown-toggle.notification_widget.warning {
background-image: none;
}
.notification_widget.warning.disabled:hover,
.notification_widget.warning[disabled]:hover,
fieldset[disabled] .notification_widget.warning:hover,
.notification_widget.warning.disabled:focus,
.notification_widget.warning[disabled]:focus,
fieldset[disabled] .notification_widget.warning:focus,
.notification_widget.warning.disabled.focus,
.notification_widget.warning[disabled].focus,
fieldset[disabled] .notification_widget.warning.focus {
background-color: #f0ad4e;
border-color: #eea236;
}
.notification_widget.warning .badge {
color: #f0ad4e;
background-color: #fff;
}
.notification_widget.success {
color: #fff;
background-color: #5cb85c;
border-color: #4cae4c;
}
.notification_widget.success:focus,
.notification_widget.success.focus {
color: #fff;
background-color: #449d44;
border-color: #255625;
}
.notification_widget.success:hover {
color: #fff;
background-color: #449d44;
border-color: #398439;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
color: #fff;
background-color: #449d44;
border-color: #398439;
}
.notification_widget.success:active:hover,
.notification_widget.success.active:hover,
.open > .dropdown-toggle.notification_widget.success:hover,
.notification_widget.success:active:focus,
.notification_widget.success.active:focus,
.open > .dropdown-toggle.notification_widget.success:focus,
.notification_widget.success:active.focus,
.notification_widget.success.active.focus,
.open > .dropdown-toggle.notification_widget.success.focus {
color: #fff;
background-color: #398439;
border-color: #255625;
}
.notification_widget.success:active,
.notification_widget.success.active,
.open > .dropdown-toggle.notification_widget.success {
background-image: none;
}
.notification_widget.success.disabled:hover,
.notification_widget.success[disabled]:hover,
fieldset[disabled] .notification_widget.success:hover,
.notification_widget.success.disabled:focus,
.notification_widget.success[disabled]:focus,
fieldset[disabled] .notification_widget.success:focus,
.notification_widget.success.disabled.focus,
.notification_widget.success[disabled].focus,
fieldset[disabled] .notification_widget.success.focus {
background-color: #5cb85c;
border-color: #4cae4c;
}
.notification_widget.success .badge {
color: #5cb85c;
background-color: #fff;
}
.notification_widget.info {
color: #fff;
background-color: #5bc0de;
border-color: #46b8da;
}
.notification_widget.info:focus,
.notification_widget.info.focus {
color: #fff;
background-color: #31b0d5;
border-color: #1b6d85;
}
.notification_widget.info:hover {
color: #fff;
background-color: #31b0d5;
border-color: #269abc;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
color: #fff;
background-color: #31b0d5;
border-color: #269abc;
}
.notification_widget.info:active:hover,
.notification_widget.info.active:hover,
.open > .dropdown-toggle.notification_widget.info:hover,
.notification_widget.info:active:focus,
.notification_widget.info.active:focus,
.open > .dropdown-toggle.notification_widget.info:focus,
.notification_widget.info:active.focus,
.notification_widget.info.active.focus,
.open > .dropdown-toggle.notification_widget.info.focus {
color: #fff;
background-color: #269abc;
border-color: #1b6d85;
}
.notification_widget.info:active,
.notification_widget.info.active,
.open > .dropdown-toggle.notification_widget.info {
background-image: none;
}
.notification_widget.info.disabled:hover,
.notification_widget.info[disabled]:hover,
fieldset[disabled] .notification_widget.info:hover,
.notification_widget.info.disabled:focus,
.notification_widget.info[disabled]:focus,
fieldset[disabled] .notification_widget.info:focus,
.notification_widget.info.disabled.focus,
.notification_widget.info[disabled].focus,
fieldset[disabled] .notification_widget.info.focus {
background-color: #5bc0de;
border-color: #46b8da;
}
.notification_widget.info .badge {
color: #5bc0de;
background-color: #fff;
}
.notification_widget.danger {
color: #fff;
background-color: #d9534f;
border-color: #d43f3a;
}
.notification_widget.danger:focus,
.notification_widget.danger.focus {
color: #fff;
background-color: #c9302c;
border-color: #761c19;
}
.notification_widget.danger:hover {
color: #fff;
background-color: #c9302c;
border-color: #ac2925;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
color: #fff;
background-color: #c9302c;
border-color: #ac2925;
}
.notification_widget.danger:active:hover,
.notification_widget.danger.active:hover,
.open > .dropdown-toggle.notification_widget.danger:hover,
.notification_widget.danger:active:focus,
.notification_widget.danger.active:focus,
.open > .dropdown-toggle.notification_widget.danger:focus,
.notification_widget.danger:active.focus,
.notification_widget.danger.active.focus,
.open > .dropdown-toggle.notification_widget.danger.focus {
color: #fff;
background-color: #ac2925;
border-color: #761c19;
}
.notification_widget.danger:active,
.notification_widget.danger.active,
.open > .dropdown-toggle.notification_widget.danger {
background-image: none;
}
.notification_widget.danger.disabled:hover,
.notification_widget.danger[disabled]:hover,
fieldset[disabled] .notification_widget.danger:hover,
.notification_widget.danger.disabled:focus,
.notification_widget.danger[disabled]:focus,
fieldset[disabled] .notification_widget.danger:focus,
.notification_widget.danger.disabled.focus,
.notification_widget.danger[disabled].focus,
fieldset[disabled] .notification_widget.danger.focus {
background-color: #d9534f;
border-color: #d43f3a;
}
.notification_widget.danger .badge {
color: #d9534f;
background-color: #fff;
}
div#pager {
background-color: #fff;
font-size: 14px;
line-height: 20px;
overflow: hidden;
display: none;
position: fixed;
bottom: 0px;
width: 100%;
max-height: 50%;
padding-top: 8px;
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
/* Display over codemirror */
z-index: 100;
/* Hack which prevents jquery ui resizable from changing top. */
top: auto !important;
}
div#pager pre {
line-height: 1.21429em;
color: #000;
background-color: #f7f7f7;
padding: 0.4em;
}
div#pager #pager-button-area {
position: absolute;
top: 8px;
right: 20px;
}
div#pager #pager-contents {
position: relative;
overflow: auto;
width: 100%;
height: 100%;
}
div#pager #pager-contents #pager-container {
position: relative;
padding: 15px 0px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
div#pager .ui-resizable-handle {
top: 0px;
height: 8px;
background: #f7f7f7;
border-top: 1px solid #cfcfcf;
border-bottom: 1px solid #cfcfcf;
/* This injects handle bars (a short, wide = symbol) for
the resize handle. */
}
div#pager .ui-resizable-handle::after {
content: '';
top: 2px;
left: 50%;
height: 3px;
width: 30px;
margin-left: -15px;
position: absolute;
border-top: 1px solid #cfcfcf;
}
.quickhelp {
/* Old browsers */
display: -webkit-box;
-webkit-box-orient: horizontal;
-webkit-box-align: stretch;
display: -moz-box;
-moz-box-orient: horizontal;
-moz-box-align: stretch;
display: box;
box-orient: horizontal;
box-align: stretch;
/* Modern browsers */
display: flex;
flex-direction: row;
align-items: stretch;
line-height: 1.8em;
}
.shortcut_key {
display: inline-block;
width: 21ex;
text-align: right;
font-family: monospace;
}
.shortcut_descr {
display: inline-block;
/* Old browsers */
-webkit-box-flex: 1;
-moz-box-flex: 1;
box-flex: 1;
/* Modern browsers */
flex: 1;
}
span.save_widget {
height: 30px;
margin-top: 4px;
display: flex;
justify-content: flex-start;
align-items: baseline;
width: 50%;
flex: 1;
}
span.save_widget span.filename {
height: 100%;
line-height: 1em;
margin-left: 16px;
border: none;
font-size: 146.5%;
text-overflow: ellipsis;
overflow: hidden;
white-space: nowrap;
border-radius: 2px;
}
span.save_widget span.filename:hover {
background-color: #e6e6e6;
}
[dir="rtl"] span.save_widget.pull-left {
float: right !important;
float: right;
}
[dir="rtl"] span.save_widget span.filename {
margin-left: 0;
margin-right: 16px;
}
span.checkpoint_status,
span.autosave_status {
font-size: small;
white-space: nowrap;
padding: 0 5px;
}
@media (max-width: 767px) {
span.save_widget {
font-size: small;
padding: 0 0 0 5px;
}
span.checkpoint_status,
span.autosave_status {
display: none;
}
}
@media (min-width: 768px) and (max-width: 991px) {
span.checkpoint_status {
display: none;
}
span.autosave_status {
font-size: x-small;
}
}
.toolbar {
padding: 0px;
margin-left: -5px;
margin-top: 2px;
margin-bottom: 5px;
box-sizing: border-box;
-moz-box-sizing: border-box;
-webkit-box-sizing: border-box;
}
.toolbar select,
.toolbar label {
width: auto;
vertical-align: middle;
margin-right: 2px;
margin-bottom: 0px;
display: inline;
font-size: 92%;
margin-left: 0.3em;
margin-right: 0.3em;
padding: 0px;
padding-top: 3px;
}
.toolbar .btn {
padding: 2px 8px;
}
.toolbar .btn-group {
margin-top: 0px;
margin-left: 5px;
}
.toolbar-btn-label {
margin-left: 6px;
}
#maintoolbar {
margin-bottom: -3px;
margin-top: -8px;
border: 0px;
min-height: 27px;
margin-left: 0px;
padding-top: 11px;
padding-bottom: 3px;
}
#maintoolbar .navbar-text {
float: none;
vertical-align: middle;
text-align: right;
margin-left: 5px;
margin-right: 0px;
margin-top: 0px;
}
.select-xs {
height: 24px;
}
[dir="rtl"] .btn-group > .btn,
.btn-group-vertical > .btn {
float: right;
}
.pulse,
.dropdown-menu > li > a.pulse,
li.pulse > a.dropdown-toggle,
li.pulse.open > a.dropdown-toggle {
background-color: #F37626;
color: white;
}
/**
* Primary styles
*
* Author: Jupyter Development Team
*/
/** WARNING IF YOU ARE EDITTING THIS FILE, if this is a .css file, It has a lot
* of chance of beeing generated from the ../less/[samename].less file, you can
* try to get back the less file by reverting somme commit in history
**/
/*
* We'll try to get something pretty, so we
* have some strange css to have the scroll bar on
* the left with fix button on the top right of the tooltip
*/
@-moz-keyframes fadeOut {
from {
opacity: 1;
}
to {
opacity: 0;
}
}
@-webkit-keyframes fadeOut {
from {
opacity: 1;
}
to {
opacity: 0;
}
}
@-moz-keyframes fadeIn {
from {
opacity: 0;
}
to {
opacity: 1;
}
}
@-webkit-keyframes fadeIn {
from {
opacity: 0;
}
to {
opacity: 1;
}
}
/*properties of tooltip after "expand"*/
.bigtooltip {
overflow: auto;
height: 200px;
-webkit-transition-property: height;
-webkit-transition-duration: 500ms;
-moz-transition-property: height;
-moz-transition-duration: 500ms;
transition-property: height;
transition-duration: 500ms;
}
/*properties of tooltip before "expand"*/
.smalltooltip {
-webkit-transition-property: height;
-webkit-transition-duration: 500ms;
-moz-transition-property: height;
-moz-transition-duration: 500ms;
transition-property: height;
transition-duration: 500ms;
text-overflow: ellipsis;
overflow: hidden;
height: 80px;
}
.tooltipbuttons {
position: absolute;
padding-right: 15px;
top: 0px;
right: 0px;
}
.tooltiptext {
/*avoid the button to overlap on some docstring*/
padding-right: 30px;
}
.ipython_tooltip {
max-width: 700px;
/*fade-in animation when inserted*/
-webkit-animation: fadeOut 400ms;
-moz-animation: fadeOut 400ms;
animation: fadeOut 400ms;
-webkit-animation: fadeIn 400ms;
-moz-animation: fadeIn 400ms;
animation: fadeIn 400ms;
vertical-align: middle;
background-color: #f7f7f7;
overflow: visible;
border: #ababab 1px solid;
outline: none;
padding: 3px;
margin: 0px;
padding-left: 7px;
font-family: monospace;
min-height: 50px;
-moz-box-shadow: 0px 6px 10px -1px #adadad;
-webkit-box-shadow: 0px 6px 10px -1px #adadad;
box-shadow: 0px 6px 10px -1px #adadad;
border-radius: 2px;
position: absolute;
z-index: 1000;
}
.ipython_tooltip a {
float: right;
}
.ipython_tooltip .tooltiptext pre {
border: 0;
border-radius: 0;
font-size: 100%;
background-color: #f7f7f7;
}
.pretooltiparrow {
left: 0px;
margin: 0px;
top: -16px;
width: 40px;
height: 16px;
overflow: hidden;
position: absolute;
}
.pretooltiparrow:before {
background-color: #f7f7f7;
border: 1px #ababab solid;
z-index: 11;
content: "";
position: absolute;
left: 15px;
top: 10px;
width: 25px;
height: 25px;
-webkit-transform: rotate(45deg);
-moz-transform: rotate(45deg);
-ms-transform: rotate(45deg);
-o-transform: rotate(45deg);
}
ul.typeahead-list i {
margin-left: -10px;
width: 18px;
}
[dir="rtl"] ul.typeahead-list i {
margin-left: 0;
margin-right: -10px;
}
ul.typeahead-list {
max-height: 80vh;
overflow: auto;
}
ul.typeahead-list > li > a {
/** Firefox bug **/
/* see https://github.com/jupyter/notebook/issues/559 */
white-space: normal;
}
ul.typeahead-list > li > a.pull-right {
float: left !important;
float: left;
}
[dir="rtl"] .typeahead-list {
text-align: right;
}
.cmd-palette .modal-body {
padding: 7px;
}
.cmd-palette form {
background: white;
}
.cmd-palette input {
outline: none;
}
.no-shortcut {
min-width: 20px;
color: transparent;
}
[dir="rtl"] .no-shortcut.pull-right {
float: left !important;
float: left;
}
[dir="rtl"] .command-shortcut.pull-right {
float: left !important;
float: left;
}
.command-shortcut:before {
content: "(command mode)";
padding-right: 3px;
color: #777777;
}
.edit-shortcut:before {
content: "(edit)";
padding-right: 3px;
color: #777777;
}
[dir="rtl"] .edit-shortcut.pull-right {
float: left !important;
float: left;
}
#find-and-replace #replace-preview .match,
#find-and-replace #replace-preview .insert {
background-color: #BBDEFB;
border-color: #90CAF9;
border-style: solid;
border-width: 1px;
border-radius: 0px;
}
[dir="ltr"] #find-and-replace .input-group-btn + .form-control {
border-left: none;
}
[dir="rtl"] #find-and-replace .input-group-btn + .form-control {
border-right: none;
}
#find-and-replace #replace-preview .replace .match {
background-color: #FFCDD2;
border-color: #EF9A9A;
border-radius: 0px;
}
#find-and-replace #replace-preview .replace .insert {
background-color: #C8E6C9;
border-color: #A5D6A7;
border-radius: 0px;
}
#find-and-replace #replace-preview {
max-height: 60vh;
overflow: auto;
}
#find-and-replace #replace-preview pre {
padding: 5px 10px;
}
.terminal-app {
background: #EEE;
}
.terminal-app #header {
background: #fff;
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.2);
}
.terminal-app .terminal {
width: 100%;
float: left;
font-family: monospace;
color: white;
background: black;
padding: 0.4em;
border-radius: 2px;
-webkit-box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
box-shadow: 0px 0px 12px 1px rgba(87, 87, 87, 0.4);
}
.terminal-app .terminal,
.terminal-app .terminal dummy-screen {
line-height: 1em;
font-size: 14px;
}
.terminal-app .terminal .xterm-rows {
padding: 10px;
}
.terminal-app .terminal-cursor {
color: black;
background: white;
}
.terminal-app #terminado-container {
margin-top: 20px;
}
/*# sourceMappingURL=style.min.css.map */
</style>
<style type="text/css">
.highlight .hll { background-color: #ffffcc }
.highlight { background: #f8f8f8; }
.highlight .c { color: #408080; font-style: italic } /* Comment */
.highlight .err { border: 1px solid #FF0000 } /* Error */
.highlight .k { color: #008000; font-weight: bold } /* Keyword */
.highlight .o { color: #666666 } /* Operator */
.highlight .ch { color: #408080; font-style: italic } /* Comment.Hashbang */
.highlight .cm { color: #408080; font-style: italic } /* Comment.Multiline */
.highlight .cp { color: #BC7A00 } /* Comment.Preproc */
.highlight .cpf { color: #408080; font-style: italic } /* Comment.PreprocFile */
.highlight .c1 { color: #408080; font-style: italic } /* Comment.Single */
.highlight .cs { color: #408080; font-style: italic } /* Comment.Special */
.highlight .gd { color: #A00000 } /* Generic.Deleted */
.highlight .ge { font-style: italic } /* Generic.Emph */
.highlight .gr { color: #FF0000 } /* Generic.Error */
.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
.highlight .gi { color: #00A000 } /* Generic.Inserted */
.highlight .go { color: #888888 } /* Generic.Output */
.highlight .gp { color: #000080; font-weight: bold } /* Generic.Prompt */
.highlight .gs { font-weight: bold } /* Generic.Strong */
.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
.highlight .gt { color: #0044DD } /* Generic.Traceback */
.highlight .kc { color: #008000; font-weight: bold } /* Keyword.Constant */
.highlight .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */
.highlight .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */
.highlight .kp { color: #008000 } /* Keyword.Pseudo */
.highlight .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */
.highlight .kt { color: #B00040 } /* Keyword.Type */
.highlight .m { color: #666666 } /* Literal.Number */
.highlight .s { color: #BA2121 } /* Literal.String */
.highlight .na { color: #7D9029 } /* Name.Attribute */
.highlight .nb { color: #008000 } /* Name.Builtin */
.highlight .nc { color: #0000FF; font-weight: bold } /* Name.Class */
.highlight .no { color: #880000 } /* Name.Constant */
.highlight .nd { color: #AA22FF } /* Name.Decorator */
.highlight .ni { color: #999999; font-weight: bold } /* Name.Entity */
.highlight .ne { color: #D2413A; font-weight: bold } /* Name.Exception */
.highlight .nf { color: #0000FF } /* Name.Function */
.highlight .nl { color: #A0A000 } /* Name.Label */
.highlight .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */
.highlight .nt { color: #008000; font-weight: bold } /* Name.Tag */
.highlight .nv { color: #19177C } /* Name.Variable */
.highlight .ow { color: #AA22FF; font-weight: bold } /* Operator.Word */
.highlight .w { color: #bbbbbb } /* Text.Whitespace */
.highlight .mb { color: #666666 } /* Literal.Number.Bin */
.highlight .mf { color: #666666 } /* Literal.Number.Float */
.highlight .mh { color: #666666 } /* Literal.Number.Hex */
.highlight .mi { color: #666666 } /* Literal.Number.Integer */
.highlight .mo { color: #666666 } /* Literal.Number.Oct */
.highlight .sa { color: #BA2121 } /* Literal.String.Affix */
.highlight .sb { color: #BA2121 } /* Literal.String.Backtick */
.highlight .sc { color: #BA2121 } /* Literal.String.Char */
.highlight .dl { color: #BA2121 } /* Literal.String.Delimiter */
.highlight .sd { color: #BA2121; font-style: italic } /* Literal.String.Doc */
.highlight .s2 { color: #BA2121 } /* Literal.String.Double */
.highlight .se { color: #BB6622; font-weight: bold } /* Literal.String.Escape */
.highlight .sh { color: #BA2121 } /* Literal.String.Heredoc */
.highlight .si { color: #BB6688; font-weight: bold } /* Literal.String.Interpol */
.highlight .sx { color: #008000 } /* Literal.String.Other */
.highlight .sr { color: #BB6688 } /* Literal.String.Regex */
.highlight .s1 { color: #BA2121 } /* Literal.String.Single */
.highlight .ss { color: #19177C } /* Literal.String.Symbol */
.highlight .bp { color: #008000 } /* Name.Builtin.Pseudo */
.highlight .fm { color: #0000FF } /* Name.Function.Magic */
.highlight .vc { color: #19177C } /* Name.Variable.Class */
.highlight .vg { color: #19177C } /* Name.Variable.Global */
.highlight .vi { color: #19177C } /* Name.Variable.Instance */
.highlight .vm { color: #19177C } /* Name.Variable.Magic */
.highlight .il { color: #666666 } /* Literal.Number.Integer.Long */
</style>
<style type="text/css">
/* Temporary definitions which will become obsolete with Notebook release 5.0 */
.ansi-black-fg { color: #3E424D; }
.ansi-black-bg { background-color: #3E424D; }
.ansi-black-intense-fg { color: #282C36; }
.ansi-black-intense-bg { background-color: #282C36; }
.ansi-red-fg { color: #E75C58; }
.ansi-red-bg { background-color: #E75C58; }
.ansi-red-intense-fg { color: #B22B31; }
.ansi-red-intense-bg { background-color: #B22B31; }
.ansi-green-fg { color: #00A250; }
.ansi-green-bg { background-color: #00A250; }
.ansi-green-intense-fg { color: #007427; }
.ansi-green-intense-bg { background-color: #007427; }
.ansi-yellow-fg { color: #DDB62B; }
.ansi-yellow-bg { background-color: #DDB62B; }
.ansi-yellow-intense-fg { color: #B27D12; }
.ansi-yellow-intense-bg { background-color: #B27D12; }
.ansi-blue-fg { color: #208FFB; }
.ansi-blue-bg { background-color: #208FFB; }
.ansi-blue-intense-fg { color: #0065CA; }
.ansi-blue-intense-bg { background-color: #0065CA; }
.ansi-magenta-fg { color: #D160C4; }
.ansi-magenta-bg { background-color: #D160C4; }
.ansi-magenta-intense-fg { color: #A03196; }
.ansi-magenta-intense-bg { background-color: #A03196; }
.ansi-cyan-fg { color: #60C6C8; }
.ansi-cyan-bg { background-color: #60C6C8; }
.ansi-cyan-intense-fg { color: #258F8F; }
.ansi-cyan-intense-bg { background-color: #258F8F; }
.ansi-white-fg { color: #C5C1B4; }
.ansi-white-bg { background-color: #C5C1B4; }
.ansi-white-intense-fg { color: #A1A6B2; }
.ansi-white-intense-bg { background-color: #A1A6B2; }
.ansi-bold { font-weight: bold; }
</style>
<style type="text/css">
/* Overrides of notebook CSS for static HTML export */
body {
overflow: visible;
padding: 8px;
}
div#notebook {
overflow: visible;
border-top: none;
}@media print {
div.cell {
display: block;
page-break-inside: avoid;
}
div.output_wrapper {
display: block;
page-break-inside: avoid;
}
div.output {
display: block;
page-break-inside: avoid;
}
}
</style>
<!-- Custom stylesheet, it must be in the same directory as the html file -->
<link rel="stylesheet" href="custom.css">
<!-- Loading mathjax macro -->
<!-- Load mathjax -->
<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/latest.js?config=TeX-AMS_HTML"></script>
<!-- MathJax configuration -->
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
tex2jax: {
inlineMath: [ ['$','$'], ["\\(","\\)"] ],
displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
processEscapes: true,
processEnvironments: true
},
// Center justify equations in code and markdown cells. Elsewhere
// we use CSS to left justify single line equations in code cells.
displayAlign: 'center',
"HTML-CSS": {
styles: {'.MathJax_Display': {"margin": 0}},
linebreaks: { automatic: true }
}
});
</script>
<!-- End of mathjax configuration --></head>
<body>
<div tabindex="-1" id="notebook" class="border-box-sizing">
<div class="container" id="notebook-container">
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%</span><span class="k">load_ext</span> autoreload
<span class="o">%</span><span class="k">autoreload</span> 2
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[7]:</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">os</span>
<span class="kn">import</span> <span class="nn">pathlib</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</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
<span class="kn">import</span> <span class="nn">re</span>
<span class="kn">import</span> <span class="nn">shutil</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">scipy.stats</span>
<span class="kn">from</span> <span class="nn">functools</span> <span class="k">import</span> <span class="n">reduce</span>
<span class="kn">import</span> <span class="nn">statsmodels</span>
<span class="kn">import</span> <span class="nn">seaborn</span> <span class="k">as</span> <span class="nn">sns</span>
<span class="kn">import</span> <span class="nn">exdir</span>
<span class="kn">import</span> <span class="nn">expipe</span>
<span class="kn">from</span> <span class="nn">distutils.dir_util</span> <span class="k">import</span> <span class="n">copy_tree</span>
<span class="kn">import</span> <span class="nn">septum_mec</span>
<span class="kn">import</span> <span class="nn">spatial_maps</span> <span class="k">as</span> <span class="nn">sp</span>
<span class="kn">import</span> <span class="nn">head_direction.head</span> <span class="k">as</span> <span class="nn">head</span>
<span class="kn">import</span> <span class="nn">septum_mec.analysis.data_processing</span> <span class="k">as</span> <span class="nn">dp</span>
<span class="kn">import</span> <span class="nn">septum_mec.analysis.registration</span>
<span class="kn">from</span> <span class="nn">septum_mec.analysis.plotting</span> <span class="k">import</span> <span class="n">violinplot</span><span class="p">,</span> <span class="n">savefig</span><span class="p">,</span> <span class="n">despine</span>
<span class="kn">from</span> <span class="nn">tqdm.notebook</span> <span class="k">import</span> <span class="n">tqdm</span>
<span class="n">tqdm</span><span class="o">.</span><span class="n">pandas</span><span class="p">()</span>
<span class="kn">from</span> <span class="nn">septum_mec.analysis.statistics</span> <span class="k">import</span> <span class="p">(</span>
<span class="n">load_data_frames</span><span class="p">,</span>
<span class="n">make_paired_tables</span><span class="p">,</span>
<span class="n">make_statistics_table</span><span class="p">,</span>
<span class="n">estimate_power_lmm</span><span class="p">,</span>
<span class="n">estimate_power_lmm_paralell</span><span class="p">,</span>
<span class="n">LMM</span><span class="p">,</span>
<span class="n">estimate_sample_size_lmm</span><span class="p">,</span>
<span class="n">estimate_sample_size_lmm_paralell</span>
<span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">project_path</span> <span class="o">=</span> <span class="n">dp</span><span class="o">.</span><span class="n">project_path</span><span class="p">()</span>
<span class="n">project</span> <span class="o">=</span> <span class="n">expipe</span><span class="o">.</span><span class="n">get_project</span><span class="p">(</span><span class="n">project_path</span><span class="p">)</span>
<span class="n">actions</span> <span class="o">=</span> <span class="n">project</span><span class="o">.</span><span class="n">actions</span>
<span class="n">output_path</span> <span class="o">=</span> <span class="n">pathlib</span><span class="o">.</span><span class="n">Path</span><span class="p">(</span><span class="s2">&quot;output&quot;</span><span class="p">)</span> <span class="o">/</span> <span class="s2">&quot;comparisons-power&quot;</span>
<span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s2">&quot;statistics&quot;</span><span class="p">)</span><span class="o">.</span><span class="n">mkdir</span><span class="p">(</span><span class="n">exist_ok</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">parents</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
<span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s2">&quot;figures&quot;</span><span class="p">)</span><span class="o">.</span><span class="n">mkdir</span><span class="p">(</span><span class="n">exist_ok</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">parents</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
<span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s2">&quot;data&quot;</span><span class="p">)</span><span class="o">.</span><span class="n">mkdir</span><span class="p">(</span><span class="n">exist_ok</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">parents</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Load-cell-statistics-and-shuffling-quantiles">Load cell statistics and shuffling quantiles<a class="anchor-link" href="#Load-cell-statistics-and-shuffling-quantiles">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span>
</pre></div>
</div>
</div>
</div>
</div>
<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="n">data</span><span class="p">,</span> <span class="n">labels</span><span class="p">,</span> <span class="n">colors</span><span class="p">,</span> <span class="n">queries</span> <span class="o">=</span> <span class="n">load_data_frames</span><span class="p">()</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>Number of sessions above threshold 194
Number of animals 4
Number of individual gridcells 139
Number of gridcell recordings 230
</pre>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Calculate-statistics">Calculate statistics<a class="anchor-link" href="#Calculate-statistics">&#182;</a></h1>
</div>
</div>
</div>
<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">columns</span> <span class="o">=</span> <span class="p">[</span>
<span class="s1">&#39;average_rate&#39;</span><span class="p">,</span>
<span class="s1">&#39;gridness&#39;</span><span class="p">,</span>
<span class="s1">&#39;information_specificity&#39;</span><span class="p">,</span>
<span class="s1">&#39;max_rate&#39;</span><span class="p">,</span>
<span class="s1">&#39;information_rate&#39;</span><span class="p">,</span>
<span class="s1">&#39;in_field_mean_rate&#39;</span><span class="p">,</span>
<span class="s1">&#39;out_field_mean_rate&#39;</span><span class="p">,</span>
<span class="s1">&#39;speed_score&#39;</span><span class="p">,</span>
<span class="s1">&#39;spacing&#39;</span><span class="p">,</span>
<span class="s1">&#39;field_area&#39;</span>
<span class="p">]</span>
</pre></div>
</div>
</div>
</div>
</div>
<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">results</span><span class="p">,</span> <span class="n">labels</span> <span class="o">=</span> <span class="n">make_paired_tables</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">columns</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[151]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">rc</span><span class="p">(</span><span class="s1">&#39;axes&#39;</span><span class="p">,</span> <span class="n">titlesize</span><span class="o">=</span><span class="mi">12</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">rcParams</span><span class="o">.</span><span class="n">update</span><span class="p">({</span>
<span class="s1">&#39;font.size&#39;</span><span class="p">:</span> <span class="mi">12</span><span class="p">,</span>
<span class="s1">&#39;figure.figsize&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="mi">4</span><span class="p">),</span>
<span class="s1">&#39;figure.dpi&#39;</span><span class="p">:</span> <span class="mi">150</span>
<span class="p">})</span>
<span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">][</span><span class="s1">&#39;gridness&#39;</span><span class="p">][</span><span class="n">labels</span><span class="p">]</span><span class="o">.</span><span class="n">plot</span><span class="o">.</span><span class="n">density</span><span class="p">()</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[151]:</div>
<div class="output_text output_subarea output_execute_result">
<pre>&lt;matplotlib.axes._subplots.AxesSubplot at 0x7f54b4eddcc0&gt;</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[77]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">summary</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="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">df</span> <span class="ow">in</span> <span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="n">Key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s1">&#39;_&#39;</span><span class="p">,</span> <span class="s1">&#39; &#39;</span><span class="p">)</span><span class="o">.</span><span class="n">capitalize</span><span class="p">()</span>
<span class="k">for</span> <span class="n">label</span> <span class="ow">in</span> <span class="n">labels</span><span class="p">:</span>
<span class="n">summary</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">label</span><span class="p">,</span> <span class="n">Key</span><span class="p">]</span> <span class="o">=</span> <span class="s2">&quot;</span><span class="si">{:.3f}</span><span class="s2"> ± </span><span class="si">{:.3f}</span><span class="s2">&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">df</span><span class="p">[</span><span class="n">label</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span> <span class="n">df</span><span class="p">[</span><span class="n">label</span><span class="p">]</span><span class="o">.</span><span class="n">std</span><span class="p">())</span>
<span class="n">summary</span><span class="o">.</span><span class="n">T</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[77]:</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>Baseline I</th>
<th>11 Hz</th>
<th>Baseline II</th>
<th>30 Hz</th>
</tr>
</thead>
<tbody>
<tr>
<th>Average rate</th>
<td>9.040 ± 6.369</td>
<td>8.934 ± 6.545</td>
<td>8.368 ± 6.154</td>
<td>7.553 ± 5.359</td>
</tr>
<tr>
<th>Gridness</th>
<td>0.527 ± 0.353</td>
<td>0.393 ± 0.369</td>
<td>0.579 ± 0.287</td>
<td>0.479 ± 0.355</td>
</tr>
<tr>
<th>Information specificity</th>
<td>0.245 ± 0.229</td>
<td>0.208 ± 0.264</td>
<td>0.218 ± 0.177</td>
<td>0.226 ± 0.209</td>
</tr>
<tr>
<th>Max rate</th>
<td>37.533 ± 15.081</td>
<td>32.799 ± 14.292</td>
<td>37.684 ± 16.860</td>
<td>34.584 ± 12.544</td>
</tr>
<tr>
<th>Information rate</th>
<td>1.324 ± 0.617</td>
<td>0.906 ± 0.543</td>
<td>1.177 ± 0.640</td>
<td>0.983 ± 0.555</td>
</tr>
<tr>
<th>In field mean rate</th>
<td>14.973 ± 8.381</td>
<td>13.344 ± 8.073</td>
<td>14.126 ± 7.835</td>
<td>12.109 ± 6.060</td>
</tr>
<tr>
<th>Out field mean rate</th>
<td>6.389 ± 5.358</td>
<td>6.712 ± 5.898</td>
<td>5.787 ± 5.225</td>
<td>5.265 ± 4.488</td>
</tr>
<tr>
<th>Speed score</th>
<td>0.142 ± 0.081</td>
<td>0.105 ± 0.090</td>
<td>0.120 ± 0.060</td>
<td>0.104 ± 0.073</td>
</tr>
<tr>
<th>Spacing</th>
<td>0.439 ± 0.121</td>
<td>0.456 ± 0.123</td>
<td>0.416 ± 0.093</td>
<td>0.424 ± 0.080</td>
</tr>
<tr>
<th>Field area</th>
<td>0.431 ± 0.053</td>
<td>0.417 ± 0.051</td>
<td>0.423 ± 0.051</td>
<td>0.431 ± 0.052</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;[83]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">mdf</span><span class="o">.</span><span class="n">summary</span><span class="p">()</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[83]:</div>
<div class="output_html rendered_html output_subarea output_execute_result">
<table class="simpletable">
<tr>
<td>Model:</td> <td>MixedLM</td> <td>Dependent Variable:</td> <td>val</td>
</tr>
<tr>
<td>No. Observations:</td> <td>119</td> <td>Method:</td> <td>REML</td>
</tr>
<tr>
<td>No. Groups:</td> <td>4</td> <td>Scale:</td> <td>0.0932</td>
</tr>
<tr>
<td>Min. group size:</td> <td>7</td> <td>Log-Likelihood:</td> <td>-49.4026</td>
</tr>
<tr>
<td>Max. group size:</td> <td>81</td> <td>Converged:</td> <td>Yes</td>
</tr>
<tr>
<td>Mean group size:</td> <td>29.8</td> <td></td> <td></td>
</tr>
</table>
<table class="simpletable">
<tr>
<td></td> <th>Coef.</th> <th>Std.Err.</th> <th>z</th> <th>P>|z|</th> <th>[0.025</th> <th>0.975]</th>
</tr>
<tr>
<th>Intercept</th> <td>0.409</td> <td>0.048</td> <td>8.488</td> <td>0.000</td> <td>0.315</td> <td>0.504</td>
</tr>
<tr>
<th>label[T.Baseline I]</th> <td>0.124</td> <td>0.062</td> <td>1.997</td> <td>0.046</td> <td>0.002</td> <td>0.246</td>
</tr>
<tr>
<th>unit_idnum Var</th> <td>0.036</td> <td>0.090</td> <td></td> <td></td> <td></td> <td></td>
</tr>
</table>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[10]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">vss</span> <span class="o">=</span> <span class="p">[</span>
<span class="p">(</span><span class="s1">&#39;Baseline I&#39;</span><span class="p">,</span> <span class="s1">&#39;11 Hz&#39;</span><span class="p">),</span>
<span class="p">(</span><span class="s1">&#39;Baseline I&#39;</span><span class="p">,</span> <span class="s1">&#39;Baseline II&#39;</span><span class="p">),</span>
<span class="p">(</span><span class="s1">&#39;Baseline II&#39;</span><span class="p">,</span> <span class="s1">&#39;30 Hz&#39;</span><span class="p">),</span>
<span class="p">]</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[92]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">ps</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">ci</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">ef</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">mf</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="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">df</span> <span class="ow">in</span> <span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="n">Key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s1">&#39;_&#39;</span><span class="p">,</span> <span class="s1">&#39; &#39;</span><span class="p">)</span><span class="o">.</span><span class="n">capitalize</span><span class="p">()</span>
<span class="k">for</span> <span class="n">vs</span> <span class="ow">in</span> <span class="n">vss</span><span class="p">:</span>
<span class="n">pval</span><span class="p">,</span> <span class="n">low</span><span class="p">,</span> <span class="n">high</span><span class="p">,</span> <span class="n">mdf</span> <span class="o">=</span> <span class="n">LMM</span><span class="p">(</span><span class="n">df</span><span class="p">,</span> <span class="o">*</span><span class="n">vs</span><span class="p">,</span> <span class="n">key</span><span class="p">)</span>
<span class="n">ps</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">f</span><span class="s1">&#39;LMM </span><span class="si">{vs[0]}</span><span class="s1"> - </span><span class="si">{vs[1]}</span><span class="s1">&#39;</span><span class="p">,</span> <span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="n">pval</span>
<span class="n">ci</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">f</span><span class="s1">&#39;LMM </span><span class="si">{vs[0]}</span><span class="s1"> - </span><span class="si">{vs[1]}</span><span class="s1">&#39;</span><span class="p">,</span> <span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="n">f</span><span class="s1">&#39;</span><span class="si">{low}</span><span class="s1">, </span><span class="si">{high}</span><span class="s1">&#39;</span>
<span class="n">ef</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">f</span><span class="s1">&#39;LMM </span><span class="si">{vs[0]}</span><span class="s1"> - </span><span class="si">{vs[1]}</span><span class="s1">&#39;</span><span class="p">,</span> <span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="n">mdf</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="n">mf</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">f</span><span class="s1">&#39;LMM </span><span class="si">{vs[0]}</span><span class="s1"> - </span><span class="si">{vs[1]}</span><span class="s1">&#39;</span><span class="p">,</span> <span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">df</span><span class="p">[</span><span class="n">vs</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span> <span class="o">-</span> <span class="n">df</span><span class="p">[</span><span class="n">vs</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span><span class="o">.</span><span class="n">mean</span><span class="p">())</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[93]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">ps</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[93]:</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>average_rate</th>
<th>gridness</th>
<th>information_specificity</th>
<th>max_rate</th>
<th>information_rate</th>
<th>in_field_mean_rate</th>
<th>out_field_mean_rate</th>
<th>speed_score</th>
<th>spacing</th>
<th>field_area</th>
</tr>
</thead>
<tbody>
<tr>
<th>LMM Baseline I - 11 Hz</th>
<td>0.928209</td>
<td>0.054459</td>
<td>0.427792</td>
<td>0.088252</td>
<td>0.000080</td>
<td>0.285853</td>
<td>0.759764</td>
<td>0.016639</td>
<td>0.441497</td>
<td>0.112510</td>
</tr>
<tr>
<th>LMM Baseline I - Baseline II</th>
<td>0.626481</td>
<td>0.587566</td>
<td>0.618199</td>
<td>0.955198</td>
<td>0.265741</td>
<td>0.595705</td>
<td>0.642428</td>
<td>0.040733</td>
<td>0.985474</td>
<td>0.535198</td>
</tr>
<tr>
<th>LMM Baseline II - 30 Hz</th>
<td>0.556933</td>
<td>0.107195</td>
<td>0.839598</td>
<td>0.315473</td>
<td>0.081515</td>
<td>0.195477</td>
<td>0.665571</td>
<td>0.382314</td>
<td>0.603904</td>
<td>0.729193</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;[94]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">ci</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[94]:</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>average_rate</th>
<th>gridness</th>
<th>information_specificity</th>
<th>max_rate</th>
<th>information_rate</th>
<th>in_field_mean_rate</th>
<th>out_field_mean_rate</th>
<th>speed_score</th>
<th>spacing</th>
<th>field_area</th>
</tr>
</thead>
<tbody>
<tr>
<th>LMM Baseline I - 11 Hz</th>
<td>-2.180247281054466, 2.390356722874524</td>
<td>-0.0023867695467641864, 0.25185586146463945</td>
<td>-0.051885367585011555, 0.12239826383625366</td>
<td>-0.6829644446775598, 9.804487199879677</td>
<td>0.19919191566537162, 0.5924315270050661</td>
<td>-1.331724110761481, 4.516001132500179</td>
<td>-2.2810214616259765, 1.6653183103649472</td>
<td>0.006403510267647752, 0.0641586683092662</td>
<td>-0.03396312071531312, 0.014810117866574444</td>
<td>-0.0034073546240015826, 0.03240571021475902</td>
</tr>
<tr>
<th>LMM Baseline I - Baseline II</th>
<td>-2.9916621645393118, 1.8014641972655332</td>
<td>-0.08520533103529787, 0.15040363600350248</td>
<td>-0.09750576854071875, 0.05796956577487157</td>
<td>-5.89536982035741, 6.243311205778393</td>
<td>-0.33674475640623824, 0.09282359337229243</td>
<td>-3.975512425442468, 2.2816253105581294</td>
<td>-2.481648525103001, 1.531057021714961</td>
<td>-0.05295935481734079, -0.0011404936657067148</td>
<td>-0.01536441943997291, 0.015081590471976884</td>
<td>-0.025402212987792654, 0.013191871767799448</td>
</tr>
<tr>
<th>LMM Baseline II - 30 Hz</th>
<td>-1.6613041417405623, 3.083251607547346</td>
<td>-0.02440548847993497, 0.2496890970945263</td>
<td>-0.06538802363578307, 0.08044872106578226</td>
<td>-3.155261296686419, 9.780244204335176</td>
<td>-0.02805504733315664, 0.47641353819177146</td>
<td>-1.0103474044666294, 4.941540621504646</td>
<td>-1.5577059549335808, 2.439136826914514</td>
<td>-0.015556136704263908, 0.04057715367485169</td>
<td>-0.01107815629347443, 0.019054030954896606</td>
<td>-0.023819756067117653, 0.016668142405318446</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;[95]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">ef</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[95]:</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>average_rate</th>
<th>gridness</th>
<th>information_specificity</th>
<th>max_rate</th>
<th>information_rate</th>
<th>in_field_mean_rate</th>
<th>out_field_mean_rate</th>
<th>speed_score</th>
<th>spacing</th>
<th>field_area</th>
</tr>
</thead>
<tbody>
<tr>
<th>LMM Baseline I - 11 Hz</th>
<td>0.105055</td>
<td>0.124735</td>
<td>0.035256</td>
<td>4.560761</td>
<td>0.395812</td>
<td>1.592139</td>
<td>-0.307852</td>
<td>0.035281</td>
<td>-0.009577</td>
<td>0.014499</td>
</tr>
<tr>
<th>LMM Baseline I - Baseline II</th>
<td>-0.595099</td>
<td>0.032599</td>
<td>-0.019768</td>
<td>0.173971</td>
<td>-0.121961</td>
<td>-0.846944</td>
<td>-0.475296</td>
<td>-0.027050</td>
<td>-0.000141</td>
<td>-0.006105</td>
</tr>
<tr>
<th>LMM Baseline II - 30 Hz</th>
<td>0.710974</td>
<td>0.112642</td>
<td>0.007530</td>
<td>3.312491</td>
<td>0.224179</td>
<td>1.965597</td>
<td>0.440715</td>
<td>0.012511</td>
<td>0.003988</td>
<td>-0.003576</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;[96]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">mf</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[96]:</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>average_rate</th>
<th>gridness</th>
<th>information_specificity</th>
<th>max_rate</th>
<th>information_rate</th>
<th>in_field_mean_rate</th>
<th>out_field_mean_rate</th>
<th>speed_score</th>
<th>spacing</th>
<th>field_area</th>
</tr>
</thead>
<tbody>
<tr>
<th>LMM Baseline I - 11 Hz</th>
<td>0.105449</td>
<td>0.133233</td>
<td>0.036166</td>
<td>4.734064</td>
<td>0.417936</td>
<td>1.629185</td>
<td>0.322805</td>
<td>0.037336</td>
<td>0.016343</td>
<td>0.014129</td>
</tr>
<tr>
<th>LMM Baseline I - Baseline II</th>
<td>0.671719</td>
<td>0.052668</td>
<td>0.026500</td>
<td>0.151797</td>
<td>0.147302</td>
<td>0.847032</td>
<td>0.602720</td>
<td>0.021480</td>
<td>0.023525</td>
<td>0.008499</td>
</tr>
<tr>
<th>LMM Baseline II - 30 Hz</th>
<td>0.814797</td>
<td>0.100659</td>
<td>0.007509</td>
<td>3.100584</td>
<td>0.193361</td>
<td>2.016844</td>
<td>0.521574</td>
<td>0.016176</td>
<td>0.007847</td>
<td>0.008441</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;[110]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">effect_ranges</span> <span class="o">=</span> <span class="p">{</span>
<span class="s1">&#39;gridness&#39;</span><span class="p">:</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span><span class="p">,</span> <span class="o">.</span><span class="mi">3</span><span class="p">,</span> <span class="o">.</span><span class="mi">01</span><span class="p">),</span>
<span class="s1">&#39;average_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="o">.</span><span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="o">.</span><span class="mi">2</span><span class="p">),</span>
<span class="s1">&#39;information_specificity&#39;</span><span class="p">:</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span><span class="p">,</span><span class="o">.</span><span class="mi">2</span><span class="p">,</span><span class="o">.</span><span class="mi">01</span><span class="p">),</span>
<span class="s1">&#39;max_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">15</span><span class="p">,</span><span class="o">.</span><span class="mi">5</span><span class="p">),</span>
<span class="s1">&#39;information_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="o">.</span><span class="mi">1</span><span class="p">,</span><span class="o">.</span><span class="mi">4</span><span class="p">,</span><span class="o">.</span><span class="mi">02</span><span class="p">),</span>
<span class="s1">&#39;in_field_mean_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="o">.</span><span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="o">.</span><span class="mi">2</span><span class="p">),</span>
<span class="s1">&#39;out_field_mean_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="o">.</span><span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="o">.</span><span class="mi">2</span><span class="p">),</span>
<span class="s1">&#39;speed_score&#39;</span><span class="p">:</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span><span class="p">,</span><span class="o">.</span><span class="mi">1</span><span class="p">,</span><span class="o">.</span><span class="mi">005</span><span class="p">),</span> <span class="c1"># if run again, change this to go to 0.1</span>
<span class="s1">&#39;spacing&#39;</span><span class="p">:</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span><span class="p">,</span><span class="o">.</span><span class="mi">1</span><span class="p">,</span><span class="o">.</span><span class="mi">005</span><span class="p">),</span> <span class="c1"># if run again, change this to go to 0.1</span>
<span class="s1">&#39;field_area&#39;</span><span class="p">:</span> <span class="p">(</span><span class="o">.</span><span class="mi">01</span><span class="p">,</span><span class="o">.</span><span class="mi">1</span><span class="p">,</span><span class="o">.</span><span class="mi">005</span><span class="p">),</span><span class="c1"># if run again, change this to go to 0.1</span>
<span class="p">}</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[128]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">powers</span> <span class="o">=</span> <span class="p">{}</span>
<span class="k">for</span> <span class="n">vs</span> <span class="ow">in</span> <span class="n">vss</span><span class="p">:</span>
<span class="n">powers</span><span class="p">[</span><span class="n">vs</span><span class="p">]</span> <span class="o">=</span> <span class="p">{}</span>
<span class="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">df</span> <span class="ow">in</span> <span class="n">tqdm</span><span class="p">(</span><span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">items</span><span class="p">(),</span> <span class="n">desc</span><span class="o">=</span><span class="s1">&#39; - &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">vs</span><span class="p">)):</span>
<span class="n">power</span><span class="p">,</span> <span class="n">effect_size</span> <span class="o">=</span> <span class="n">estimate_power_lmm_paralell</span><span class="p">(</span><span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">][</span><span class="n">key</span><span class="p">],</span> <span class="o">*</span><span class="n">vs</span><span class="p">,</span> <span class="n">effect_range</span><span class="o">=</span><span class="n">effect_ranges</span><span class="p">[</span><span class="n">key</span><span class="p">])</span>
<span class="n">powers</span><span class="p">[</span><span class="n">vs</span><span class="p">][</span><span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="p">{</span><span class="s1">&#39;p&#39;</span><span class="p">:</span> <span class="n">power</span><span class="p">,</span> <span class="s1">&#39;e&#39;</span><span class="p">:</span> <span class="n">effect_size</span><span class="p">}</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt"></div>
<div id="4eb284a1-0d49-44f0-9e75-c7d78af7c421"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#4eb284a1-0d49-44f0-9e75-c7d78af7c421');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "13f4f0aa63f84c6f8f32526954e607fd", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="7738c49d-4821-4214-8f25-b0e4b74d5967"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#7738c49d-4821-4214-8f25-b0e4b74d5967');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "c65251a34561404d910166151ed0b7e8", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="8d55dbdb-f2fc-4b19-b42a-2bbd42b67102"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#8d55dbdb-f2fc-4b19-b42a-2bbd42b67102');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "7ae981b7b1f0402aad9c533789909c5e", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[129]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">rc</span><span class="p">(</span><span class="s1">&#39;axes&#39;</span><span class="p">,</span> <span class="n">titlesize</span><span class="o">=</span><span class="mi">12</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">rcParams</span><span class="o">.</span><span class="n">update</span><span class="p">({</span>
<span class="s1">&#39;font.size&#39;</span><span class="p">:</span> <span class="mi">12</span><span class="p">,</span>
<span class="s1">&#39;figure.figsize&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mf">3.7</span><span class="p">,</span> <span class="mf">2.2</span><span class="p">),</span>
<span class="s1">&#39;figure.dpi&#39;</span><span class="p">:</span> <span class="mi">150</span>
<span class="p">})</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[146]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">vs</span><span class="p">,</span> <span class="n">vals</span> <span class="ow">in</span> <span class="n">powers</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">val</span> <span class="ow">in</span> <span class="n">vals</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</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">val</span><span class="p">[</span><span class="s1">&#39;e&#39;</span><span class="p">],</span> <span class="n">val</span><span class="p">[</span><span class="s1">&#39;p&#39;</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39; - &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">vs</span><span class="p">)</span> <span class="o">+</span> <span class="s1">&#39;, &#39;</span> <span class="o">+</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s1">&#39;_&#39;</span><span class="p">,</span> <span class="s1">&#39; &#39;</span><span class="p">)</span><span class="o">.</span><span class="n">capitalize</span><span class="p">())</span>
<span class="n">savefig</span><span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s1">&#39;figures&#39;</span> <span class="o">/</span> <span class="n">f</span><span class="s2">&quot;{&#39;-&#39;.join(vs)}_</span><span class="si">{key}</span><span class="s2">&quot;</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAf0AAAFbCAYAAADfiVd7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAXEQAAFxEByibzPwAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3deZwcVbn/8c8smUz2ZUL2TBaSPBBIQiAEIiAgqwbwIoJhE2Rxvddd8XfdwF2vV73eq1e9iKAIiIgCYV8E2Qx7CFkeEkL2PWTfZv39cap7OjM9k1m6u3qmv+/Xa141NVV1+ume6nrqnDp1qqi+vh4RERHp+orjDkBERERyQ0lfRESkQCjpi4iIFAglfRERkQKhpC8iIlIglPRFREQKhJK+iIhIgVDSFxERKRBK+iIiIgVCSV9ERKRAKOmLiIgUCCV9ERGRAqGkLyIiUiCU9EVERApEadwBdGVmNgZ4u5nF9cBWYCXwIPBTd9+Uo9AyxsyuBH4HrHH3kSl/fxI4Gfiuu38tnuhaZmY3A1cAT7n7KTHGcSTwCnCnu1/Whu2mAi8Bf3T3K9vxus8AJwC/dfdrDrLueGBJNHuSuz/T1tfLBDNbDYwAvu7u38lQmcOBHwOnA/2ATcBH3P3RTJTfGZjZEe6+oNHfEvvHDe5+fSyBxcjMioDD3H1R3LFkkpJ+7rwBbE+ZLwUGAEcCRwHXmtl73H1+HMFJPMysArgD6NbG7Q4Bbkff4Q4xsxLgYcL3sJrwPS2n+ZP1LsXM+gHfBz6K9qUkMzsO+B9gAXBlvNFklv7JufNv7v5k4z9GB/1bgFnAXWZ2uLvX5Tq4LPgw0BPYHHcg+crMKoF7gSPauN2YaLvDsxBWoZlESPgA73X3x+MMJgbHAp9oZtklFO53+N+A6YSk36Uo6cfM3beY2RXAGmAicCbwULxRdZy7r4w7hnxmZh8CfgkMbMM2RcDFhBrIgCyFVmgGRdN64B9xBpJv9B3umtSRLw+4+xZCsyI01DqkizKz5whN+gOBv0Q/B9umGHge+CMh4d8J/C2LYRaKkmha5+7VsUYikgOq6eePxDXdnY0XmFkpoYZ3EXA0UAHUAGuBJ4CfuPubabY7C/gUcDwhUWwnnFzcCdzo7lVptukLfAb4ADCecGK4DLib0NlwW2veTLqOfCkdGzcAw4CrCNcSJ0WbvQH8BrjZ3euzFVsemAmsAq5z99ujDoUHUwwcR+j4+SV3v9PMbs1ijK2S0tnrYN5y9/FZjONW4FLgWsJ34hvAGYSa/EZC69m3E7XXRh0TAUrMLLHPHdBJ0MzOIDSBv4tworYdeBH4jbs3OfFK6Wx4JPBx4HLCyYUTOgt+EfgqcANhf/8m4fLeIEKL363Ad9y92szeA1wHzCD0NVhI+L7/Mc3rlkafwYU0HCeqCceJx4H/dPelaeJMzCfe/yh3X91SRz4z6xl9JhcRLjOVAauBR4Efu/tbjdY/PVr2LHAq8DngMsL3uIrQIfVn7j6n8ftqjpldA/wf4UT414QWsMMIlyN+6O4/j9YbDvwrYX84FOhDOM4uAu4C/tfd9zWKM+GKqCX2cXc/PeW1ywn/29kp738FMCd6/+tb+z5yTTX9PGBmhxIOEHU0ato3sx7AI8DvgXMIX5D5wDvABOBjwCtmNq3Rdp+OyjqX8MV/jbCjnwz8Ang46sSUus1hwDzgW8BkwsFiCeGL9A3gtWidjioi9GO4kXBJ403CSczxwE2EjkUHyGFsufBxYKK7396GbeoI/+uJ7n5ndsJql9cJB/J0Py+krLciR/FMJ+zrlwO7gLeAkcA1wItmlkhye6MY30jZNhF34sSgyMx+Sfj+nU9I3K8Rvk/vBf5qZrdFyTadXxOSzWrC93VPoxPTxD59dbR8AzCOsD/fZGafAh4jnGy8DewjJPNbzezq1BeKkvBjwM2EE4h9hP/NVsJx4uOE48SUlM1eaOb972/m/SReqxJ4lXDHwwxgXVTOiOh15pvZB5vZvDvh8/whMJSQeEuB04D7zOzall67GZMIx7pKwknRwMT7MrMTor/9P0LfmbXRshLC5/oT4MGoJQ1gG+EzSNxJtTGaT3awjvahucBPo/e/JXqNMcAXovc/sx3vIyeU9GNiZiVmVmFm5wIPEP4X33f3xgfH6whnxpuBGe4+1t2PdfdKGr5wvYB/Tym7P+FLBXCxu4+IthkLnEU44J1CqBEktukF3EfYce8BKt3d3P0oYBRwPzAauDc6EemIwYROQp8BBrn7MYSaf6Lm+oWod3ocsWWdu/86UbNowzZ17v4bd2/xgJxr7v5Jdz8x3Q8NnaDWEGp1ufAxwgHaon1kEnAisJuw330uintNFOPnou1qU2L/ffS3LxNqs9WEZDbE3WcQktvsqMyLafiuNfYu4IPufqS7jya0UKX6ECHRm7tPidb5XrTsMuDnwH8AFe5+NOHkJVEL/Uqjsv6dcEK/EZju7uOi7/wowsn0BkIN9/8lNnD3D6S8f1Lef7O3DkcVhfsJJ+uLgCnR5zydkMR/B/QA/mhm09MUMR04Bpjt7oOj7/5I4Mlo+XdTEnBrTSOchFS6+zRCS8UT0cnYrYTbMP8CDI/+F9OAQwitLRCOhWdEn8FL0X7xSLTswegz+Vz0/osJLYtTCH1ALPqsj4ne/y2EFpu/mdngNr6PnFDSz52/m1l94odQs91M6IU9kXDg+Hqa7U4n1PJucPcXUxdE8/8bzU5OWWSEpsCtwJ8abfMIoSZ9F6HVIOEaQlPbK8AF7r42ZZv1hBOEFYRaw5WtftfN+6W7/9zda6PX2Ad8ltChqpRwQhNXbIXm6tR9M90PBzaFH5SZfQ34CCExnuvu67IReBr7gfNTm7Hd/VlCSxm07lJEouacOJH+anSiVheVV+/ufyKcCAD8m5mNSlPMk+6e7K/h7ul6wV/RqCn8+4TvQGL76xKX4dx9Nw0nGOPNrE/KdonjxDfd/eXUF3D3uYRWBzjwONEeFxNaJfcS7nZI1oDdfTuh1eIxQnN3c+MofC36/BLbbSNUbiAk4wntiOvf3X1nVF7icz6acFlzH3BtaiuLu1e5+/eIWnVo/edyPuHYtIrw/pPfi6j8qwiXKgYTKjV5R0k/d97gwKbPfxJqQoma2+eBnzduco/OOsuBXzVT7p5o2jPlb28TTioGADdHg7iklvltd7/Q3e9O+fP50fSORCJutM1ewokChEsGHXVfmtfYQkOzWv8YYys0G2i+iT7x83KzWzdiZpcQLsPUA5e5+6uZDrgFc919Y5q/JwZY6Z9mWTonA30JJ8a/bGad24D1hP44s9IsP9gARhvSJOhdNNwi90Cabdam/N43ZbvjCceJG5t5rd3RtGczy1sr8f36a5pWSTz0xflJNHuamfVOU0aT7z4N/x9o/f8ooYbQ3N44lhfcvT8w0N23Nl5uZt0Jl1Wg9Z9L4lj0V3ff03hhdGKY6G+Rl8cideTLnebu0y8j1E7/h3D9rwT4ZOo6Hjr0DDCz4wmtAuOi6TRgSLRaccr6G83sh4Tmqw8DHzaz9YTOPI8AD6SpdSTuGrjWzN7fzHsYGk0zce18TTN/3xtNU/fNXMdWaOZ420bka2m9kwj9MoqAr3iajm5Z1pb9qiWJ/cijGnYT7l5nZq8Sru9bmlUO1rqxqpm/J1rg0jWzp95hUNQonmozGxgNLGPA2Gg6jVDzhI5X9BKfS0sngYllpYSOc/MaLU/3P9qb8ntb89I7LV32cve9UX+faYQWw3GEfgBTCCdK0PrPJXEs+hczO6aZdRK34abbJ2KnpB+zqOnuN2Y2DLge+KiZfd/dVwFETXj/RbjGlzpqWxWhuftV4Ow05X7NzF4mnEi8m5AUL41+aszsDuBfoyY5CNe9IDStHax5ra1n4uk0uXOgkdQDWq5jSyvqLPnfzSy+yd1vytZrdwZmNpFwG2F3wh0YzV3rzqa27FctSdSit7e4FuyIpn3SLNub5m+p0p5MpGj1IF3RnS0/J3y/U4/rVYQk/CqhP09HteZz2ZHye5PPxdPcNdRIa/9HCc1+zmb2LkJLzdRGizYR+iZMJ/QHaq3Esagy+mlJmZn1TNciECcl/fxxDyHplxDOSFel/P1Uwo793zRcFlgSndlfS5qkD+DufyX0MO5LaK48BXgf4Wz9MsIOfF60+u5o/lxvw20zOZIvsfWj+WvCj+UykHxjZoMIzdEDgacJHeo6s8Sts/1aXKthkKQmt9rmSjRo0xzgJMLlvp8RmrsX0nCc+ASZSfqt+VxSB46K83M5ktC6WU64vHozodVhkbuvidaZS9uSfuJE7RPu3twl17ympJ8/Us/qiwCi5vxTo7/Ncve/p9luZOM/RD3YJwBF7j7P3XcQrqPdR+gZ/xVCh6FzzaxfVNt3QgeVIwgHkCbMbALhy76ipR6+WZAXsUWXZ9paC+nyonuW7yU05S4DPtCK2ly+WxxNzcx6R9faDxD1v0ncKtumjo4ZdgIh4QOc7e5Pp1mnyXGinRYTOr0117QNofYM4Zi2LEOv2x6fJST8BYQ7n9K1CLT1c3HCcajZobOjWxqHAStz2IG11dSRL38kOgLV03BNbGzK8ibX0KIexhdHs6kncB8lnNHeGtUCGksdfCLRcTDRueaadLe9Rbe/3EMYlOTHzb+NrMjn2ApatH/9njDg0HbgnGZ6qXc2/yC8nzKaH5v+UkJv83rCQ3viknqceKXxwuiW19nRbOOKXl3Keq05oU18F883syY15KiMz0azzyR61Mck8bksTJfwzey9wPBotrnPpfFnknj/F0etW+ncTGiRjX3wrHSU9GMWDQDyARruGb3L3VdHvy9OWfUbZtYtZbtJhEfyJq5xp/Y+vZNwLe9I4KfRlz6x3SDgu9HsXHdP9F79BaHj0XjC/e6VKdscEpV5eFRurhNrPsdW6H5AuGVyP/Av3srHkJrZYdFPRVaja6eoZp/ok/BdM/tY6v3jZnYRDb36f9notrtcSz1OfD11sKCoifthQuc1aNpLPbUFozXN3HcQas49CIPaJG91iy4j3gi8h9CjvvFYArmW+FzemzpYjpmVmtmlhLsvEpr7XBp/JrcRLptUEAY4Sz70ysz6mtmvCa2z9YTvRt5R837u/LeZNe780o0w4EyiZ+3LpNQq3P1VM7uTMNTlF4Arzextwg6XOIt9lDCwRB8z6+vuO9x9nZldRTjT/AzhPuy3aOhNW064LejqlNfaambnEc5kTwfeNrOFhDNeI3TOqiEM9pPTx//mc2yFzMxmEAawgXBS9vno/vzupL8M8gl3nx8lpcTJwddp/n7uuP2A8D27lnDL7HfMbBlhQKhh0Tp/Inw3Y+PuL5rZ3YTBf64jfN+XEwaJGROtljhO9DezXil3JDihH0BP4KXo+HKFuy9s5rWqo+/ig4QT7dfNzAlJchLhZGAP4b745zP9XtvoPwgDIFUAz5nZEkIfg3GEDr87CTXy42nazJ+4zfRkM1sELHD3D7p7VXQH0YOEcQAWmtliQp+riYSB0iDcrfUoeUg1/dw5knDtLfVnCqGGNIcwkMnx0b3qqS4hNNe/SPh/TSUcVO8jNKWeScMAE8n7Qj2MzX0K4f71bYQv5GjCtcfvA4e7+wGPjXT3l6I4v0UYwnMM4Yu9gdCEe0yje/tzJp9jK2B9U34fQ9j/TiOMgNd4Xz+Bg3eKyyvRIDwfJXSUvYdwkjmNUIu7BzjP3We3dLtYDn2IMFjQi4RLdlMIlYp7gfdFx4k1hJOxcxIbRf15LiSMYtibkBDH0QJ3X0ZIeF8mDEQzgvBdXEkYmnaKu9/WfAm54e7LCZ/DrwhDfVcSKgnrCHdETSYMeQxhTIHUS4c3Af9JGIdhHHBU4vKHh4GfphFOsF4gXCKYTLgc9GfgRHf/RTbfW0cU1dc3ea6JiEjWRa01N7r7Tw66sohkhGr6IpJzFh5aMoFwfVREckRJX0RyKhqF8mHC/fx5ed1TpKtS876I5JyZvRt43t2rD7qyiGSMkr6IiEiBUPO+iIhIgVDSFxERKRBK+iIiIgVCSV9ERKRAKOmLiIgUCCV9ERGRAlHQD9wxs/WEB02sijsWERGRVhgF7HH3oe3ZuKCTPtCzrKysT2Vl5aS4AxERETmYlStXUlVV1e7tCz3pr6qsrJx0//33xx2HiIjIQc2aNYulS5e2u3Va1/RFREQKRFZr+mb2McKzjK919xvbsX0F8DXg/cBIYCvwLPAjd/9nJmMVERHp6rJW0zezY4H/6MD2Q4C5wGeBIcDrQD1wPvCMmV2ViThFREQKRVaSvpmdQnh0Zp8OFPMn4FDCozdHuvt0YDjwFaAE+JWZHd7BUEVERApGRpO+mZWb2fXAY8CADpRzCnAysAu4xN23Arh7nbv/ELgV6AZ8taMxi4iIFIqMJX0zGw+8CXwz+tPXgBXtLO7KaHqPu29Os/xX0fRfzKxHO19DRESkoGSypj+SMGjAP4Hj3P27HShrZjR9ppnlLwA1QC9gegdeR0REpGBkMumvBma5+0x3f7m9hZhZMTAumn0r3TruXg2siWYntve1RERECknGbtlz96XA0gwUNYCGuDa1sN4WYDQwKAOvKSKd3P6aWrbsqmLLrio2794fprv2s2VX9PvuKjbv3M+W3fvZuqc63AskkiNTRvbjxium079nWaxx5OOIfD1Tft/Xwnp706wvIl1EfX09O/bWsCmRuHdXsWXXfjbtqkom8i2797M5Su4799XEHbJIs15asZWH3ljP7BmVscaRj0m/to3r63xdpJPbX1PLnS+t5vFFG9i4I9TG39ldRXWtvt7SNQzo2Y2Zh1bEHUZeJv1dKb+Xt7Beotf+nizGIiJZVFNbx92vruG/HlvCmm17D75BK/QpL2VQ7+5U9CqjondZ+L13dwb1LqOiV5gO6FVGSXFRRl5PpDVGDehJWWn8I9/na9LfD3QHWjotSlzL35j1iEQko+rq6nngjXX85NE3WbZpd4vrlhYXUREl7EQSH9S7jIoosQ/q051B0bKBvcoo71aSo3ch0vnkXdJ39zozc2AKMCbdOmbWjTA6H4SxAUSkE6ivr+eJxRv58SNvsmjdjgOWdSsp4kPHjmLmuEHJpD6odxl9y7tRrFq5SEbkXdKPzCUk/ZnAb9Msn0GIfR/wag7jEpF2eu6tzfz4YeeVldsO+HtxEXzg6JF85rQJjBqofrki2ZSvSf9O4Frgg2b2ZXd/p9HyT0TTP7l7Zi4EikhWvLZqGz9+2HlmadPBNWdNHsbnzpjA+MEdeUyHiLRWrEnfzCoJt9ztcfeVKYseJzxC9wTgb2Z2obtviAbu+SJwKVAN/DDXMYtI6yxev4P/fORNHl24ocmyU+0QvnCmceSIfjFEJlK44q7p/57wYJ2ngFMSf3T3ejP7cPT3k4AVZvYGMAIYSrhN7yPuvijnEYtIi97evJufPvom972+lvpGd9zNGDuQL59lTB8zMJ7gRApc3Em/We6+zMymEZ6kdx4wmXB73kPAj9z973HGJyIHWrttLz9/fAl/fnk1tXUHZvspI/vxxTONkyYMoqhInfJE4pLVpO/uYw6y/JSDLN8MfC76EZE8tHnXfn7x96X88Z8rqaqtO2DZxCG9+fwZxllHDFGyF8kDeVvTF5H8tn1PNb95+i1+9+xy9lQdOJBm5cCefP6MiZw7dbgGwRHJI0r6ItImu/fXcPNzy/n1U2+xo9F490P7lvPp0yZw4fSRdCuJf/QxETmQkr6ItMq+6lpum7uSXz65lM27qg5YNrBXGZ885VAuO360RsQTyWNK+iLSopraOu56eTU/f3wJa7cf+ODLPuWlfPSkcXzkxLH07q7DiUi+07dURJpVVVPHVTe/2GRgnR7dSrjyhDF87N3jYn8+uIi0npK+iDTroQXrD0j4ZSXFXHJcJZ889VAG92npIZgiko+U9EWkWXe80DBQ5vHjBvLjC6cycoDGxxfprNS9VkTSWr55N8+9tSU5/6WzDlPCF+nklPRFJK07XlyV/H3ikN4cXdk/xmhEJBOU9EWkiaqaOu56uSHpXzyjUiPqiXQBSvoi0sRjizYk78UvKy3m/GkjYo5IRDJBSV9Emrg9pQPfrMnDdFueSBehpC8iB1j1zh6eXtJwm97sY0fFGI2IZJKSvogc4E8pHfjGHdKLGWMHxhiNiGSSkr6IJFXX1nHnSw1J/xJ14BPpUpT0RSTpicUb2bhzPxBG3/vA0SNjjkhEMklJX0SSUkfgO+vIoQzspQ58Il2Jkr6IALBm216efHNTcv5ideAT6XKU9EUEgDtfXEV9ffh9TEVPjh9XEW9AIpJxSvoiQm1d/QEd+GbPqKS4WB34RLoaJX0R4ak3N7Ju+z4ASouLuEAd+ES6JCV9EeG2uQ21/DOPGMIhfbrHGI2IZIuSvkiBW799H08s3pCcn31sZYzRiEg2KemLFLg/v7SKuqgD38gBPThx/KB4AxKRrFHSFylgdXX13JEy7O7sY0epA59IF6akL1LAnl66mTXb9gJQUlzEhdN1b75IV6akL1LAbp/bMALfaYcNZkjf8hijEZFsU9IXKVAbd+7jsUUNHfgunqEOfCJdnZK+SIG66+XV1EQ9+Ib3K+fdEw+JOSIRyTYlfZECVFdXzx0vNHTgu+jYUZSoA59Il6ekL1KAnl+2hZXv7AGguAguUgc+kYKgpC9SgG5LeYTuqTaY4f17xBiNiOSKkr5Igdmyaz+PLFifnJ+tDnwiBUNJX6TA/OWV1VTXhg58Q/p251RTBz6RQqGkL1JA6usbdeCbPorSEh0GRAqFvu0iBWTu2++wbPNuAIrUgU+k4CjpixSQ21M68J004RBGDewZYzQikmtK+iIFYuvuKh6c39CB75IZquWLFBolfZECcfera6iqrQNgUO/unHb4kJgjEpFcU9IXKQD19fUHNO1fOH0k3dSBT6Tg6FsvUgBeXrGVpRt3JednH6umfZFCpKQvUgBSR+A7YXwFoyt6xRiNiMRFSV+ki9u+p5r7X1+XnNcjdEUKl5K+SBf3t9fWsL8mdOCr6FXGmZOGxhyRiMRFSV+kC2vcge+CY0ZSVqqvvUih0rdfpAt7bdU2Fq/fmZxXBz6RwqakL9KFpdbyjxs7kHGH9I4xGhGJm5K+SBe1c181981r6MB3yXHqwCdS6JT0Rbqoe15by97qWgD69+zGWUeoA59IoVPSF+miUpv2PzBtJOXdSmKMRkTygZK+SBc0f/V2FqzdkZy/WA/XERGU9EW6pNQR+KaPHsCEIX1ijEZE8oWSvkgXs3t/Dfe+tiY5rxH4RCRBSV+ki7lv3lp2V4UOfH3KS3nf5GExRyQi+UJJX6SLObAD3wh6lKkDn4gESvoiXciCtduZt3p7cv5i3ZsvIimU9EW6kDteWJX8/ahR/TlsaN8YoxGRfKOkL9JF7K2q5W+vNnTgu0Qd+ESkESV9kS5izutr2bm/BoDe3Us5Z6o68InIgZT0RbqI1A587z9qOD3LSmOMRkTykZK+SBfg63fyysptyXndmy8i6Sjpi3QBqbX8ySP6ceSIfjFGIyL5SklfpJPbV13LX1/VCHwicnBK+iKd3INvrGP73moAepaVcN5Rw2OOSETylZK+SCd3+9yGe/PPmzqc3t3VgU9E0lPSF+nElm7cxQvL30nOz1bTvoi0QElfpBO7I6UD3+HD+jJ1pDrwiUjzlPRFOqn9NbX85ZXVyflLZoyiqKgoxohEJN8p6Yt0Ug8v2MDWPaEDX3m3Yt4/bUTMEYlIvlPSF+mkbp/b0LR/zpTh9C3vFmM0ItIZKOmLdEIrtuzm+WVbkvMXzxgVYzQi0lko6Yt0QvfNW5v8fcLg3hxdOSDGaESks1DSF+mE5ry+Lvn7+48arg58ItIqSvoinczSjTtZvH5ncn7WFI3AJyKto6Qv0smk1vKPGN6XsYN6xRiNiHQmSvoinUh9ff0BSf8c1fJFpA2U9EU6Ed+wk6UbdyXnz5kyLMZoRKSzUdIX6UTuT6nlTx3Zj1EDe8YYjYh0Nkr6Ip2EmvZFpKOU9EU6iQVrd/D25t3J+fepaV9E2khJX6STuH9+Qy3/6Mr+jOjfI8ZoRKQzUtIX6QRC037DKHxq2heR9lDSF+kEXl+9nVXv7AWgqAjeN1lN+yLSdkr6Ip1AatP+saMHMrRfeYzRiEhnpaQvkufq6+sPuFXvnKmq5YtI+yjpi+S5V1ZuY8220LRfXARnHzk05ohEpLNS0hfJc6m1/OPGVjC4j5r2RaR9lPRF8lhdXT0PzFfTvohkhpK+SB57acVW1u/YB0BJcRFnH6GmfRFpPyV9kTx2f8q9+e86tIKK3t1jjEZEOjslfZE8VVtXzwNvrE/O64l6ItJRSvoieWru21vYtHM/AKXFRZylpn0R6SAlfZE8ldpr/8QJg+jfsyzGaESkK1DSF8lDNbV1PHRA077G2heRjivNVEFm1hP4MjAbGAvsBF4GfubuD7ajvDHA2wdZbZ67H9XWskXy3fPLtrBldxUAZSXFnDFpSMwRiUhXkJGkb2a9gMeB44Bq4A2gAjgTONPMrnf3G9pY7NRo+g6wqJl1lrQjXJG8l9q0/+6Jg+jXo1uM0YhIV5Gpmv4vCAn/NeA8d18FYGaXAzcB15vZs+7+WBvKTCT9O939ExmKUyTvVdfW8dACNe2LSOZ1+Jq+mR0KXAbUAZcmEj6Au/8B+EE0e30bi04k/fkdjVGkM3l26Wa27akGoKy0mNMOHxxzRCLSVWSiI9/lQAnwvLsvTLP8V9H0BDOrbEO5iaT/RkeCE+ls5qQ07Z9qh9CnXE37IpIZmUj6M6PpM+kWuvsaYEU0e3JrCjSz3sC4aFY1fSkY+2tqeVhN+yKSJZm4pj8+mr7VwjrLgdHAxFaWOQUoAtYCh5jZF4FphHjfBG5392fbFa1IHntmyWZ27qsBoLxbMe85TE37IpI5mUj6iaPSphbW2RJNB7WyzETT/gBgIeHyQcIZwKfM7Cbg4+5e3dpARfJdatP+aYcNoVf3jN1VKyKSkeb9ntF0Xwvr7G207sEkkn458H/AEUB3QmvB1wi3BV4F/FebIhXJY/uqa3l04YbkvMbaF5FMy0Q1opbWnzzUt3K9p6MyX3X3/035+0y1DQUAABY4SURBVErgu2a2HLgV+LiZ/cLdF7SyXJG89dSbm9i1PzTt9ywr4RRT076IZFYmkv4uQjN8eQvr9Iime1pToLv/EfhjS8vN7JvABOD9gJK+dHqpTfunHz6EHmUlLawtItJ2mWje3xxNK1pYJ3Etf2MGXi/h1Wg6NoNlisRib1Utjy9S076IZFcmkn5iiNwxLayTWPZmaws1s25m1lJVJxG7OvJJp/d338ieqloA+nQv5d0TD4k5IhHpijKR9OdG05npFprZSCAxKM9zByvMzAaY2TtAFaHpvjnTomm6AYFEOpU5r69N/n7GpCGUd1PTvohkXiaS/p+j6SlmZmmWfzyaPuXuyw9WmLtvBRKjk1yZbh0z+yBwKOHE4O62BCuSb3bvr+GJxQ1XvmapaV9EsqTDSd/dlwC3Ee6lv9vMEoP1YGaXAddFs99pvK2ZHWpmh5lZ46Pc96PpuWb2fTPrnrLNB4HfRbM/cve1iHRijy/eyL7qOgD6lpdy0gQ17YtIdmRq5I9PA5Ojn8VmNp/Qo390tPyrzTxh7/FonVtIqdW7+x/MbArwReArhMF4lgBDgBHRajcC38xQ/CKxmTOv4bz1rCOGUlaaiQY4EZGmMnJ0cfcthGv6NxA66x1O6M3/FHCBu3+vHWV+iTD63j2EwX2mAN2AOcA57n6tu9dlIn6RuOzcV82TbzYMZqmmfRHJpoyN8enuuwmPz72+DduMOcjyx4B0LQQiXcJjizZQVRPOXQf07MYJ41s7UrWISNupHVEkRnPmNQzIc/aRQ+lWoq+kiGSPjjAiMdm+p5p/LElp2p+sx+iKSHYp6YvE5JGF66muDY+jqOhVxvHjBsYckYh0dUr6IjFJHWv/vZOHUqqmfRHJMh1lRGKwdXcVzy7dnJxX076I5IKSvkgMHl6wnpq60LR/SJ/uzBirpn0RyT4lfZEYpDbtz5o8jJLiohijEZFCoaQvkmObd+3nubdSmvY1II+I5IiSvkiOPfTGeqKWfYb2LeeYygHxBiQiBUNJXyTHUh+jO2vKMIrVtC8iOaKkL5JDG3fsY+7b7yTn1bQvIrmkpC+SQw++sZ76qGl/RP8eTBvVP96ARKSgKOmL5FBq0/45U4ZRVKSmfRHJHSV9kRxZt30vLy7fmpxX076I5JqSvkiOPDB/ffL3yoE9mTyiX4zRiEghUtIXyRE17YtI3JT0RXJg9dY9vLpyW3JeTfsiEgclfZEceGB+w7C74wb1YtKwvjFGIyKFSklfJAdSx9pX076IxEVJXyTLVmzZzeurtyfnZ03RY3RFJB5K+iJZdn9K0/6Ewb2xoX1ijEZECpmSvkiWzZmX8hhddeATkRgp6Ytk0bJNu1i4bkdy/hw17YtIjJT0RbLo/pQOfIcN7cP4wb1jjEZECp2SvkgWNe61LyISJyV9kSxZsmEnvmFncl5N+yISNyV9kSxJreUfOaIvYwb1ijEaERElfZGsqK+vP2Cs/VmTVcsXkfgp6YtkgW/YyVubdifndT1fRPKBkr5IFqTemz91VH9GDewZYzQiIoGSvkiGNW7aP2eyavkikh+U9EUybMHaHSzfsic5r1H4RCRfKOmLZFhqr/1jRg9geP8eMUYjItJASV8kg5r22lctX0Tyh5K+SAa9umobq7fuBaCoSE37IpJflPRFMuiW55Ynf58xZiBD+pbHF4yISCNK+iIZsn77vgMesPPhmWPiC0ZEJA0lfZEMueX55dTU1QMwon8PzjpiSLwBiYg0oqQvkgF7qmq4be7K5PxHThhDaYm+XiKSX3RUEsmAv7y8mu17qwHoVVbCRceOijkiEZGmlPRFOqiurp6bnl2enP/QsZX0Le8WX0AiIs1Q0hfpoCcWb+TtzeHhOsVFoWlfRCQfKemLdNBvn3k7+fuZk4bq4ToikreU9EU6YMHa7Ty/bEty/pqTxsYYjYhIy5T0RTogtZY/dWQ/jhk9IMZoRERapqQv0k4bd+zjvnkN4+xfdeJYioqKYoxIRKRlSvoi7fSHf66gujYMxjOsXznv08N1RCTPKemLtMO+6lpu/eeK5PwV7xpDNw3GIyJ5TkcpkXa4+5U1bN0TBuPp0a2Ei4+tjDkiEZGDU9IXaaMwGE9DB76Lpo+kX08NxiMi+U9JX6SNnlqyiaUbdwFQVAQfOUG36YlI56CkL9JGN6XcpnfaYUMYM6hXjNGIiLSekr5IG/j6nTy9ZHNy/uoTVcsXkc5DSV+kDX77zLLk70cM78vx4wbGGI2ISNso6Yu00uZd+/nbaw2D8VytwXhEpJNR0hdppVv/uYKqmjoABvfpzjlThscckYhI2yjpi7TCvupa/vD8gYPxlJXq6yMinYuOWiKtcO9ra9myuwqA8m7FXDJDg/GISOejpC9yEPX19Qc8Te8DR49kQK+yGCMSEWkfJX2Rg3hm6WZ8w87k/FUajEdEOiklfZGDSK3ln2qHMH5w7xijERFpPyV9kRYs3biTJ31Tcv7qE8fFGI2ISMco6Yu04LfPLE/+ftjQPpwwviK+YEREOkhJX6QZ7+yu4u5XVifnr9JgPCLSySnpizTjtrkr2B8NxjOodxnnTdVgPCLSuSnpi6Sxv6aWW1IG47n8+DGUdyuJMSIRkY5T0hdJY868dWzauR+AstJiLj1eg/GISOenpC/SSOPBeM4/agSDenePMSIRkcxQ0hdp5PllW1i4bkdy/qoTNRiPiHQNSvoijdyUUss/acIgbGifGKMREckcJX2RFMs27eLxxRuT81erli8iXYiSvkiK3z27nPr68Pv4wb05eeIh8QYkIpJBSvoikW17qrjr5YbBeK7WYDwi0sUo6YtEbn9hFXurawEY2KuM86eNiDkiEZHMUtIXAapr67jlueXJ+UuPq9RgPCLS5SjpiwAPzF/H+h37ACgrKebymaNjjkhEJPOU9KXgNR6M59ypwxncpzzGiEREskNJXwreSyu28vrq7cl53aYnIl2Vkr4UvBufXpb8/V2HVjBpeN8YoxERyR4lfSloK7fs4ZGFG5LzquWLSFempC8F7XfPvZ0cjGfcoF6caoPjDUhEJIuU9KVg7dhXzZ0vrkrOf+TEsRQXazAeEem6lPSlYP3phVXsrgqD8fTr0Y0LjtZgPCLStSnpS0Gqqa3j5pTBeC45rpKeZaXxBSQikgNK+lKQHlqwnjXb9gJQWlzEFTPHxBuQiEgOKOlLQUodjOecKcMY2k+D8YhI16ekLwXn5RVbeXXltuT81SeOizEaEZHcUdKXgnNTSi1/xpiBTB7ZL8ZoRERyR0lfCsrqrXt48I11yfmrT9JgPCJSOJT0paDc8txy6qLBeCoH9uT0w4fEG5CISA4p6UvB2LW/hjteSBmM54QxlGgwHhEpIEr6UjDufHEVO/fXANCnvJQLp4+KOSIRkdxS0peCsHV3Fb97rqED38UzKundXYPxiEhh0VFPuqzd+2t4dOEG7p23ln+8uYma6GJ+SXERV7xrTLzBiYjEIGNJ38x6Al8GZgNjgZ3Ay8DP3P3BdpZZCXwDOBsYDGwCHge+7+6LMhG3dC37qmt50jdx3+treXzRBvZV1zVZ55wpwxjRv0cM0YmIxCsjSd/MehGS8XFANfAGUAGcCZxpZte7+w1tLNOAZ6NytgPzgHHA5cCFZvYv7v5wJuKXzq2mto7n3trCvfPW8vCC9ezcV5N2vUG9u/P+o4bz6fdMyHGEIiL5IVM1/V8QEv5rwHnuvgrAzC4HbgKuN7Nn3f2x1hRmZqXAHELC/wPwMXffa2ZlwH8C/wrcYWbj3X1Lht6DdCJ1dfW8snIr985bywPz17F5V1Xa9fqWl/LeI4dx3lHDOX5chXrri0hB63DSN7NDgcuAOuDSRMIHcPc/mNlE4GvA9UCrkn5U3nhgJXCNu1dF5VWZ2aeBqcBJwOeisqUA1NfXs3DdDu6dt5Y589YlH5jTWI9uJZw+aQjnTR3OuycOontpSY4jFRHJT5mo6V8OlADPuvvCNMt/RUjMJ5hZpbuvbEWZV0bTPyQSfoK715vZrwlJ/2KU9Lu8tzfv5t7X1nLvvDW8tWl32nW6lRRx8sRDOHfqcM6YNESPyRURSSMTR8aZ0fSZdAvdfY2ZrQBGAycTmuubZWbFwIyWyiRc6wcYZ2ajUlsXpGtYt30vc+at4955a5m/ZnvadYqKYOa4Cs6bOpyzjxxK/55lOY5SRKRzyUTSHx9N32phneWEpD+xFeWNABJdq5srcxVQS2hhmBjNSyf3zu4qHpgfEv2Ly9+hvj79etMq+3Pe1OHMmjyMwX31SFwRkdbKRNIfHE03tbBOorPdoDaU12yZ7l5rZtuBga0sM+uqa+t4YP46Vm9Nf51ZmldfX89LK7byzJLNyXvpGztsaB/OnTqc86YOZ9TAnjmOUESka8hE0k8cgfe1sE4iE7bmaJ26TqbKzLr/e3oZP3rI4w6jS6kc2JPzpg7nvKOGM3FIn7jDERHp9DKR9Gtp/XC+zTTYNimvLVpTZtZt31MddwhdwuA+3TlnSkj0U0f2o6hIt9iJiGRKJpL+LmAA0NLF1cQ1+j2tLC+hnOZr+20pM+s+9Z7xFBcXqXm/nSp6lXHmEUM4bqzupRcRyZZMJP3NhKRf0cI6ievuG1tZXkIFsK3xCtHgPf3aUGbW9S3vxnVnHxZ3GCIiIs3KxFP2EmPgj2lhncSyNw9WmLuvJQy721KZowg991tVpoiIiGQm6c+NpjPTLTSzkUBlNPtcK8t8oaUygXdF0xXRSYKIiIgcRCaS/p+j6SnRQ3Ia+3g0fcrdl7eyzDuj6Uei8fabK/PmVpYnIiJS8Dqc9N19CXAbobn9bjNLDNaDmV0GXBfNfqfxtmZ2qJkdZmbDGi26lTAwzzjgNjPrE61fZmY/B04kXAL4747GLyIiUigyNUD5p4HJ0c9iM5tP6Nw3Olr+1WaesPd4tM4tNIy3j7vvM7OLgUeBC4CzzGwx4SRgIFAFnK8n7ImIiLReJpr3iZLvTOAGQse6wwk9758CLnD377WjzBcJT9P7LaEH/1TCk/z+Ahzn7n/PROwiIiKFImOPInP33YTH517fhm3GHGT5CuCajsQlIiIiQaE/f3TUypUrmTVrVtxxiIiIHNTKlSsh3LbeLoWe9PdUVVWxdOlSPaVPREQ6g1F0YCTaovrmnl8qIiIiXUpGOvKJiIhI/lPSFxERKRBK+iIiIgVCSV9ERKRAKOmLiIgUCCV9ERGRAqGkLyIiUiCU9EVERAqEkr6IiEiBUNIXEREpEEr6IiIiBUJJX0REpEAo6YuIiBSIQn+0brPMrCfwZWA2MBbYCbwM/MzdH8zQa9welT/B3ZdmokzJrGzsB2Y2A/gMcBIwFNgLLARuB37l7lUZCF0yKEv7wWnAZ4GZQB9gLfAI8BN390zELZmXo9wwCngD6AuMdfflmSgX9GjdtMysF/A4cBxQTfjwK4DKaJXr3f2GDr7Gx4H/jWaV9PNQNvYDM/sM8BNCK9teYAkwCBgerTIXONPdd3T4DUhGZGk/+AaQ2GYLsBIYB/QD9gGXuftfOh69ZFKOckMR4eTv9OhPGU36at5P7xeEf+prwKHufrS7jwY+DNQA15vZ6S0V0BIz+yzwy4xEKtmU0f3AzE4Afkr43v0IGODuU919BPAeQk3vOODXmX0b0kGZ3g9OoyHhfwkY4u5HA0OAnwHlwK1mNjKD70EyI6u5IfJJGhJ+xinpN2JmhwKXAXXApe6+KrHM3f8A/CCavb4dZQ8zs7sIB/6ijkcr2ZKl/eBLhP/7fe5+nbvvTynz78AV0ezsqHlPYpbF/QDgdnf/sbvXRuXtBz4PLCIk/iua2V5ikM3c0Og1fgjsaX+kLVPSb+pyoAR43t0Xpln+q2h6gplVplmelpmdT2jKvQDYCnyqo4FKVmVjPzg1mt7ezPLHCdcHAaa3skzJrmzsB88C9wI3NV7g7vXA/Gh2dBtjlezKSm5IMLNi4BagF/Dv7Y7yIJT0m5oZTZ9Jt9Dd1wArotmT21DuVKAn8EdgEvBAewOUnMjofhB9oT8EfBR4upnVUlt/SloXpmRZxo8H7v5td3+/uz/WeJmZlQDTotklbYxVsitbuSHhC8AJwK3APe3YvlXUe7+p8dH0rRbWWU44C5/YhnL/AUx19/kAZjamPcFJzmR0P3D3OuChg6x2NqEXN8CCg5UpOZGt40ETUdPuD4AJwHrStARIrLK2L5jZJODbwDrg04QOnVmhpN/U4Gi6qYV1tkTTQa0t1N2faHdEEoes7AfNMbPehF79AC+5+6KOlikZkfX9wMy+R2gFGkNofX0euMrdt7S0neRcVvYFMysFfg90Bz7q7lvNLGtJX837TfWMpvtaWGdvo3Wl68nZfmBmZcCdgAG1hHu3JT/kYj84jXC7XuJ4PAo4p51lSfZka1/4KnAMcIu7z2lPYG2hpN9UbRvW1SAHXVdO9gMz6wH8FXhv9Kcvu/uz7S1PMi4X+8FsQm/9CYQm3iHAf5jZT9tZnmRHxvcFMzuakPTXkKOTfSX9pnZF0/IW1ukRTbN2W4XELuv7gZkNBp4A3hf96Vvu/pMWNpHcy/p+4O5vu/t+d1/q7t8ArokW/Vt0nV/yQ0b3BTPrTuit3w241t23dSy81lHSb2pzNK1oYZ3E9ZqNWY5F4pPV/cDMDieMvnc8oVbweXf/ZlvLkazL+fHA3X9PGKiphDBUs+SHTO8L3wKOBG7K1PC9raGOfE0tIjSzjWlhncSyN7MdjMQma/uBmZ1CaNLvT7g+eLm739XmCCUXMrofREOsDiOM2f58dFdHOisIQzMPbW2gknWZPiZ8KJpeZWZXtbDe22YGcIO7X9+KclukpN/UXOA8Gu7JPEA0NGZi4IXnchWU5FxW9gMzO5kwRkMPQk/fc939+Y6FKlmU6f1gJGGcfQjDub7QzHqJgXnWtC5MyYFM7wsvAqubWdadhgG6XgL207DfdIia95v6czQ9xaLTq0Y+Hk2fyuRDECTvZHw/MLOxhEE3ehC+7Cco4ee9jO4H0dCti6PZT6Rbx8wuItTyqwgPXpH8kOl94UJ3PzHdD3BhyqqJ9TIyboOSfiPuvgS4jXA97W4zSwzIgJldBlwXzX6n8bZmdqiZHWZmw3ISrGRNlvaDGwmDbuwFZunxqfkvS/vBt6LplWb2VTPrlrLNRcBvo9kfuvuGDL0V6aCukhvUvJ/ep4HJ0c9iM5sPDKChye2r6YbQJIydPprQI/PKHMQp2ZWx/cDMphOepAehZ+8v01cWkr6by8490qKMHg/c/faoI+fXCQniS2a2lFC7TySF39CBB7dI1nT63KCafhrRSFgzCY+/fBM4nNBj8yngAnf/XozhSY5keD9IHYu7gjDGdks/Qzoav2RGNo4H0a15pxIu91QRns1REs2f7e4fa6GTn8SkK+SGovp6jS8jIiJSCFTTFxERKRBK+iIiIgVCSV9ERKRAKOmLiIgUCCV9ERGRAqGkLyIiUiCU9EVERAqEkr6IiEiBUNIXEREpEEr6IiIiBUJJX0REpEAo6YuIiBQIJX0REZECoaQvIiJSIJT0RURECoSSvoiISIFQ0hcRESkQSvoiIiIFQklfRESkQPx/xw4US+If1iAAAAAASUVORK5CYII=
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAf0AAAFbCAYAAADfiVd7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAXEQAAFxEByibzPwAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3debgkZXmw8fvMzibCIIjAsMoDiOIGSNCAGy6EqFGjKCoQdxPNomKiCWg0ismnxiVB44ILalBxQ9Eo7rviBiIPi8CgiMiACMw+c74/3uo5dQ59tpnuqp7T9++6+qrTXVVvv32qq5961xoZHR1FkiTNffPazoAkSWqGQV+SpCFh0JckaUgY9CVJGhIGfUmShoRBX5KkIWHQlyRpSBj0JUkaEgZ9SZKGhEFfkqQhYdCXJGlIGPQlSRoSBn1JkoaEQV+SpCGxoO0MaGoRsQ9w9SSrR4FbgOXABcCbM/P3DWWtZyLiZOB9wG8yc8/a618DjgFel5mvaid3U4uIs4FnAV/PzGNbzMehwI+BczPzpFnsdxjwI+CczDx5M973W8DRwHsy89nTbHsAcEX19CGZ+a3Zvl8vRcQJwInAUcBuwHrgRuB7wMcz81MtZq+vImIBsK56+tDM/FqL2VGDDPpbl0uAW2vPFwA7AYcC9wWeExEPy8yL28ic2hERS4GPAgtnud/dgI8wZL8DEbEtcB7wqOql6ynn1giwH/B04OkR8Q3gcZn5h1YyKvXBUJ3sc8DfdLsir3703w8cD3w8Ig7OzI1NZ64PnglsC9zUdkYGVUQsAz4D3GuW++1T7XdwH7I16P6HEvAvBZ6RmT/urIiIEeAxlJqnPwU+ATy8jUxK/WCb/hyQmSsoVcxrgAOB49rNUW9k5vLMvCwzDfpdRMRTgJ8Ah81in5GIeBqlKeDe/crboIqI/ShV+gCPrwd8gMwczczP17Z5WEQc02QepX4y6M8RVeC/pHp6aJt5Uf9FxHcoVfo7U0qjn5jBPvOA7wLnUJqFzgXmbLv1JB5Aqca/OTOvmGyjzPwK8Kvq6ZFNZExqgtX7c0unTfe2iSuqjjsnAn8J3B9YSum4dD3wFeBNmXl5l/0eBbwIeBAlUNxKubg4F3h3Zq7tss9dgJcAfwEcQLm4/BWlHfXNM20j7daRr9ax8XfA7sCpwHOBQ6rdLgHeBZydmaP9ytsAOAq4DjgtMz9SdSiczjxKAFsOvCwzz42ID/UxjzNS6ww4nasy84AtfLvO93XniDgqM787xbaPrpbX11+MiF8De1BqSvYF/hG4D7AK+Dnwn5n5mW4JRsR8SrPVs6p9tqvS/z/gjZl51ST7LQGeDzyV0iSzCLgWOB/4j8y8YZL9DgReBjyCcr4sB84G3jLF555UROxcpXcCsD+lM/FvgK8Bb8nMX0yy3zHACyjf27tTfke+RznnvjrJ+7wYeDxj5+k1lM/7pomfNyKeTWm2OQd4J/B24CBK0+CZmfnWarvN+v/PJZb054iI2J9Swt8IfGHCum0oX+oPAH9G+eG7GLgZuCfwPODHEXG/Cfu9uErrBEpP359SLiiOAd4BfLE6ier7HAT8DHgN5UfxekqP7YOAfwF+Wm2zpUYo/RjeTWnSuJxyEfMg4L3A6yfu0GDemvB84MDM/Mgs9tlIOdYHZua5/cnWZvk58O1JHj+obXdtD97rm8DK6u8vRMRrIqJrv4bMvKJ63DFJWs+l9Iu4P3AZ5bx6GPDpiHjTxI2rC84vUb6fxwB3UM7DXaq0fh4Rj+uy3x7A94E3A0cAKyj9EfYB/gG4OCKO6rLfccBFwLOr97iYEuReB3xuks80qYjYBfgh8ApKwL8KSMrFxLOBiyLikV32eyPlouAp1fv/vFp1AvCViDh1wvb3BX4BnE45T6+u3ueelAuOX0TEn06SzUMov1nLKP+jnalqQDf3/z/XGPS3YhExPyKWVkOPPk85nq/PzIk/jqcBD6Vc9R6Rmftm5uGZuYzyI/Jbysn4T7W07wqcWT09MTP3qPbZl9IJahVwLPDk2j7bAZ+l/Bh9GliWmZGZ9wX2ovzQ7A18proQ2RK7Ak+jlNp3ycwHUH58OiXXf6h6p7eRt77LzHdm5upZ7rMxM9+VmWv6la/NkZkvzMwHd3tQfvyhlCZnPBRxive6GXhp9fQuwD8Dl0bEdRFxTkQ8rxpaOBN/A3wR2CszHwjsSSnNbgD+LiKePGH791DOw4uBwzOzs9/dgDdQOq1+pH4RUjXJnEcplX4DiMzcr/q+351y4bsL8KmI2LW2387Ah4HtKaXf3TPz8CqPf8XMalYmegVldMM3gD0z89DMvB+l1uPTwGLKhckmEXESJVCvr/5fu1X5uAdwRrXZO6saCSJiR8rw47sD3wL2z8x7V++zF+V3bufq8y7rksf7Ufq5LOvsUzXVwGb8/+cig/7W5asRMdp5UE6kmyiljQMpQfqfu+z3CEop79WZ+cP6iur5f1dP6x27AlhCmQfgfyfs83+UkvTHGasuhXK1fwClk9gTM/P62j43UC4QrqVcsZ884089uf/KzLdm5obqPVYDf0upclxAuaBpK2/D5q/q381uD8bG6M9IRLwKOIVSIjshM3/bi4xm5n8DT6BUdXfsSbmIPAu4IiJ+ERHPnCapq4G/6MyNUXUCPAvolPJPr32WBwBPqj7LcZn5o1p+VmfmP1KC+zZAfU6KJ1C+x9cBj6n3Q6iaok6lzLOwK+UCuOP5lCa8XwInZ+bttTy+lxLkZqvTYfRjVR+iTj5upVTFfxn4dkQsru3T+R+8MTPfXjtX12fmq4GvUs7VZ1Tb/Q0l4P8W+LPMvKb2PjdQmuUupTQ1biqkTPBPmXlbtc9NsEX//znHoL91uYTxVZ/fo5SEOiW3vwfeOrHKvSoxLaH8oHXTqe7ctvba1ZSLip2As6tJXOpp/mtmPjkzz6u9/IRq+dHOyT1hn1WUCwUoVXtb6rNd3mMF0Jmg6K4t5m3Y/I7Jq+g7j4tmmlg1wuA1lAu4kzLzJ73MbJaJd/ajtNu/gxIc6w4B3h8Rn4qIyeY/eGdmruzyeuc8u1fV7AZj378LJ2t/Bz5YLR9blfDr+32y23tlGZp7TvW0/r39s2p5TmaunyKPs9G54PjHiDixqi7v5GN5Zj4yM5/XqUmqmso6tSbvnCTNZ1GOQ+fioPMZ3lddTIxTpf326mm3qvj1lKaQiTb3/z/n2JFv6zLZOP1FlNLp24G/BuYDL6xvk5nrImKniHgQpVZgv2p5P8psZFC7CMzMGyPiTOCVlI4vz4yIG4ALKf0DPp93HkrXGTXwnCnaxu5eLXvRdv6bSV5fVS3r3++m8zZszs/Zzcg31XYPobS7jgCvyD7NjFdd/H2xelBVjx9LCTxPplRXP47S36NbDdoPurxGZv4qIu6gNJkdSGn77nz/HlR1XOymc9F9V8p38frafo+vSqvd7Fwto/Za5+9L6CIzr4+IGyk1BDN1JqWkfQ9K08H6iPgBpZ38AuAHOb7zbCfg/yEzl9NFZl434aXOuTfVBWJn3d0jYscJFwc3T9J8tbn//znHoD8HZOlB/66I2J3STvbciHh954SKiB2A/6S0idZLLWsp1d0/Yayncj3dV0XERZQLiT+lnAhPrx7rI+KjwF/XTrodq+U9q8dU7jrN+pm408iBCUZqfzedt66qzpJvm2T1e6uq16FVte1+ihJwz87MM6fZpWcy80bKqJRzq6aFz1NK/C+ie9C/eYrkbqcE/c53qfP925WZBdq7UoJOZ79l1WMqiyJi26pGoPO+t0+x/S0zzAsAmXltVeP3j5SLonsAf1I9Tgd+FREvyczzq12WziAPE+1QLe9Uyq/544Tt69uuorvN/f/POQb9ueXTlKA/n1KCv672+kMpJ8TbGGsWuKKqAXgOXYI+QGZ+EvhkVZV3DKUk9FjKFflJlJPpz6vN76ien1A78QfFoORtRybvRPXlJjMyaKre4Z2OWt+kjDToZfoLge9QfvRPysxvTrZtFeBeRunguVNE3C3vfF+L7aZ4u07V943VsjMC4MzMfMUsst3Z7wVVf4GZupnSwe8uU2wz6w6rmfk7Sr+Zv42I+1B+Dx5GmRBsP8pvxZFZJj3q5H2HbmlN4vZq+x2n2Gan2t93Gp48ic39/885Bv25pT717ghAVZ3/0Oq147PLmFhKJ6Zxqh7s9wRGMvNnmflHShv6Zyk9419B6cx3Qq2KLSmdju5FGU97JxFxT8oJfW2XH9F+Goi8Vc0zI9NtN2yqceifoQwF+xWlg9x0NTmzUl3g3oNSQn0s5cJiKp2Og+uBbvM3HEq5iBgnIoISUEcZ6yuQlGmyJ50uuRptciClg+Gvq6ryrPaZar9lVGPwa50dkxL07wd8sss+O9LlvJ9KNXQwgO9Und9+Thl+99aqlvEHVZonUmoQO/N+7BgRe2bmr7uk+QRKJ8DvV8H4MuBwyiRK503cvvLAavn7bu3+k9jc//+cM2c7Kwyp46vlKGPtXvvW1t+pnSzKzUc6U47WLwKfSxnT/qEo85FP9KXa352Og52Odc/uNuwtygRBn6aM9f2PyT9GXwxy3oZa9f36AGXillspvbb7NfVyZ0jnCyPikCm3HDsv/i8z13VZf8ok58YLquW3a6NEOt+/R3WGp3XxRsowtQsZuzDs7HdiVRPSzdmU2rv6REudGRqfVZ3jE53KLH7/q1qSn1d569YU+FvG+g90fg8uYay28dSJ+1ROodQWdD5b5/OeUl2YTMzHYsb+vxfMNP9s/v9/zjHozwFR5lP/C0qnOyi3Be1cVV9W2/Rf6j2Rqx+9Cxhr467/OJxLaTM/FHhzNc69s98ulAk+oFyhd9o230EpHR1AGe++rLbP3ao0D67SbTqwDnLeht0bKG3Eayjz4U/sSd9VRBxUPZZOv/Um/06pSbgL8M2IeFGUOSnq6d6t6sT6MsrIlsmGhj0IOKtzERkR8yLiJZRhZ6P1/aoani9T+tRcUNXAdd5vcUSczthQ0TNz7IZZH6YMUVtKmQyrPob/LhHxTkpN3ijjh+G9izICZxnwiRg/Z8WTGDt/Z6S66OkM3X1bRDywvj7KnASdGxN9vtpnI/Da6rVXRsTJnYukiFhQ9ZvoTPzVGd/fOU93B86PMgNn5z12o1zMHExp13/NLPL/NTbv/z/nWL2/dXlbREyszlpImXCm0znlIsauhMnMn0TEuZTpd/8BODkirqb8iHRqAb4EPBLYISLukpl/zMzfRpkp60OU8b9/FRFXUb4z+1OGAN5Emeij8163RMSfU66qHwFcHRGXUpodgtI5az1lsp9Gb/87yHkbZhFxBPDy6ulvgb+vgsFiupe2XpCZF1c1M52Lg39mLLhMKTNvioiHUwLYEZQRL2+JiF9RqvB3pny/RyjDEJ+RmT+bJLlLKDViT42IpATY3SiT87ykS5+Bp1H6CBwOfLd6z1soF6KdUu2/Z+Z7avldW402uYAy89+lEXEZpX/OgYz1K/ibzPxSbb87IuKJlAD8aOC6iLiEUqLem1IzsDcluM7UaZT+KPcBfhgR11B+A/aopfO2zNzUNyUz3xUR96JU4b8PeH2UaYz3p7TNrweem9X0vZl5c+08fTBwVXWerqdUzS+s3vPEnP2UubP+/89FlvS3LodSTrr64z6UEtL5lKqyB9Unzqg8jfLj9EPKMT+M8qP6WUpV6nGMTVSyaaxvZp5DqXr7OOUH8RDKD8UVlPb8g3PCXNvVpBeHUq7Cf065IDmY8gP6AeABE8b2N2aQ8zbE6h3N9qF8/x5O+cGf+F0/mqk7eM1IlglfHkQZfnY2cCVj7d87UOYUeDlwUD2QdvH/KJ1Zr6BMbLWRUmN0VGa+feLGVT+RB1MmzvkGJegdRqld+hylk+nLu+x3ZZW30yjt5veo3u9W4GPAgzPzHV32+wnlQuFNwK8p3/15Vb4fyfSjXyamdxvwEEpn4R9T/mf3pVwgfQp4bGa+uMt+L6FceHyWUvV/3+q9zwWOzMyzJ2zfOU9fS+lwvB8lMF8G/Ctw7/qFxSzyv1n//7lmZHR0TvZVkDQEqlLguzPzTnPd9/E9OzfcOWViwJIGnSV9SVulqjf5PSlt3pJmwKAvaasTZRbKL1KG3U1VBS+pxqAvaatTjeF/IfCo7HIvBUnd2Xtf0lYpM7/Rdh6krY0d+SRJGhJW70uSNCQM+pIkDQmDviRJQ8KgL0nSkDDoS5I0JIZ6yF5E3EC5s9x1020rSdIA2AtYmZl335ydhzroA9suWrRoh2XLlk13X21Jklq3fPly1q6d1b2Sxhn2oH/dsmXLDvnc5z7Xdj4kSZrW8ccfz5VXXrnZtdO26UuSNCT6WtKPiOcBZwHPycx3b8b+S4FXAY8D9gRuodzr+o2Z+b1e5lWSpLmubyX9iDgc+Pct2H834PvA3wK7AT8HRoEnAN+KiFN7kU9JkoZFX4J+RBxLue3lDluQzP8C+1Num7lnZj4QuAfwCmA+cFZEHLyFWZUkaWj0NOhHxJKIOAP4MrDTFqRzLHAMcDvwtMy8BSAzN2bmmcCHgIXAK7c0z5IkDYueBf2IOAC4HDi9eulVwLWbmdzJ1fLTmXlTl/VnVcvHR8Q2m/kekiQNlV6W9PekTBrwPeDIzHzdFqR1VLX81iTrfwCsB7YDHrgF7yNJ0tDoZdD/NXB8Zh6VmRdtbiIRMQ/Yr3p6VbdtMnMd8Jvq6YGb+16SJA2Tng3Zy8wrgSt7kNROjOXr91NstwLYG9ilB+85EFauXc8LPvRjvnvVirazIknqofvsuSPvftYDueu2i1rNxyDOyLdt7e/VU2y3qsv2W7ULLr6Br18+1XWOJGlr9KNrb+ELl9zAU49Y1mo+BnFGvg2z3H60L7lowY23rWk7C5KkPthp24Uctf/StrMxkCX922t/L5liu06v/ZV9zEujVq8bu9457pDdOO0xB7WYG0lSr+y107YsWtB+OXtQg/4aYDEw1WVRpy3/xr7nqCGr148F/bvtsJj977Z9i7mRJM017V92TJCZG4Gsnu7TbZuIWEiZnQ/K3ABzwuq1Y0F/ycL5LeZEkjQXDVzQr3y/Wh41yfojKLUUq4GfNJKjBqxet3HT30sWDuqhkSRtrQY1spxbLZ8UETt3Wf+Cavm/mbmqy/qtUr16f8kCS/qSpN5qtU0/IpZRhtytzMzltVUXUm6hezTwqYh4cmb+rpq456XA04F1wJlN57mfVtWq97dZZNCXJPVW2yX9DwC/rJabZOYo8EzKLH8PAa6NiB9RZuE7kzJM75TM/GWz2e2v1evHqvcX26YvSeqxtoP+pDLzV8D9gLdQgv29KUP4vgA8PDPPaTF7fVEfsrdkAIZ2SJLmlr5W72fmPtOsP3aa9TcBf1c95rw166zelyT1j8XJAbJqnR35JEn9Y9AfIOOH7Bn0JUm9ZdAfIOPa9B2nL0nqMSPLABlXvW9JX5LUYwb9AbLG6n1JUh8Z9AfEho2jrN3gNLySpP4xsgyINbUpeAG2saQvSeoxg/6AqE/BC1bvS5J6z6A/IOpT8IJBX5LUewb9AVEfrrdw/gjz5420mBtJ0lxk0B8Q9ep9S/mSpH4w6A+Iekc+g74kqR8M+gNi/BS8HhZJUu8ZXQZEvU3f4XqSpH4w6A8Ip+CVJPWbQX9AjKve97a6kqQ+MOgPiHr1/mLb9CVJfWB0GRC26UuS+s2gPyBW26YvSeozg/6AcMieJKnfjC4Dwup9SVK/GfQHhEP2JEn9ZtAfEPXq/cUGfUlSHxj0B8TqcXPve1gkSb1ndBkQq9fapi9J6i+D/oBY7V32JEl9ZtAfEA7ZkyT1m9FlQDhkT5LUbwb9AbFq3Nz7Bn1JUu8Z9AfEGu+yJ0nqM4P+gBg/976HRZLUe0aXAVGv3t9mkSV9SVLvGfQHwOjo6PiSvtX7kqQ+MOgPgHUbRtk4OvbccfqSpH4w6A+A+sQ8YJu+JKk/jC4DoD4FL1jSlyT1h0F/ANRn4xsZgcULPCySpN4zugyAevX+4gXzGBkZaTE3kqS5yqA/AFZ5hz1JUgMM+gNg/MQ8Bn1JUn8Y9AfA6vX1O+wZ9CVJ/WHQHwD1kr6d+CRJ/WKEGQCrnYJXktQAg/4AcApeSVITDPoDoD5O39n4JEn9YoQZAN5hT5LUBIP+ALB6X5LUBIP+AKhX7y92yJ4kqU8M+gNg/OQ8HhJJUn8YYQbAuCF7lvQlSX1i0B8ATsMrSWqCQX8AOGRPktQEI8wAWGX1viSpAQb9ATBu7n2DviSpTwz6A8C77EmSmmDQHwBrxk3O4yGRJPWHEWYAOA2vJKkJBv0B4JA9SVITDPoDYNyQPefelyT1iUF/AIyv3veQSJL6wwjTso0bR1lb672/2JK+JKlPDPotW1ML+GCbviSpfwz6Lat34gOn4ZUk9Y8RpmWr7hT0LelLkvrDoN+yekl/wbwRFs73kEiS+sMI07Lxd9izlC9J6h+DfstWOTGPJKkhBv2WjZt33058kqQ+Msq0bPV6S/qSpGYY9Fs2vk3fwyFJ6h+jTMtWra1NwWtJX5LURwb9llm9L0lqikG/ZfXqfefdlyT1k0G/ZavtvS9JaohRpmX1oG+bviSpnwz6LVvt5DySpIYY9FvmkD1JUlOMMi1bZfW+JKkhBv2W1av3Fxv0JUl9ZNBvmXfZkyQ1xaDfMofsSZKaYpRpmUP2JElNMei3zGl4JUlNMei3zCF7kqSmGGVaVr/LniV9SVI/GfRbtsbqfUlSQwz6LRtXve9d9iRJfWTQb9kqh+xJkhpilGnRug0b2bBxdNPzbRZZ0pck9Y9Bv0X1Mfpg9b4kqb8M+i2qt+eDHfkkSf1l0G/RxJL+4gUeDklS/xhlWjTuDnsL5jFv3kiLuZEkzXUG/RZ5hz1JUpMW9CqhiNgWeDnwVGBf4DbgIuAtmXnBZqS3D3D1NJv9LDPvO9u0B4XD9SRJTepJ0I+I7YALgSOBdcAlwFLgOOC4iDgjM189y2QPq5Y3A7+cZJsrNiO7A8M77EmSmtSrkv47KAH/p8CfZ+Z1ABHxDOC9wBkR8e3M/PIs0uwE/XMz8wU9yudAWb3OKXglSc3Z4jrliNgfOAnYCDy9E/ABMvODwBuqp2fMMulO0L94S/M4qFavH2vTX2zQlyT1WS8akp8BzAe+m5mXdll/VrU8OiKWzSLdTtC/ZEsyN8hWr61X79umL0nqr15EmqOq5be6rczM3wDXVk+PmUmCEbE9sF/1dA6X9K3elyQ1pxdt+gdUy6um2OYaYG/gwBmmeR9gBLgeuFtEvBS4HyW/lwMfycxvb1ZuB8i4Nn2n4JUk9Vkvgv6u1fL3U2yzolruMsM0O1X7OwGXUpoPOh4JvCgi3gs8PzPXzTSjg2bV2vo4fav3JUn91YtIs221XD3FNqsmbDudTtBfAvwPcC9gMaW24FWUYYGnAv85q5wOmHr1vnfYkyT1Wy9K+huY+cXD6PSbAPDNKs2fZOZ/115fDrwuIq4BPgQ8PyLekZm/mGG6A2X8NLwGfUlSf/Ui6N9OqYZfMsU221TLlTNJMDPPAc6Zan1EnA7cE3gcsJUGfafhlSQ1pxfV+zdVy6VTbNNpy7+xB+/X8ZNquW8P02zUaqfhlSQ1qBeRpjNF7j5TbNNZd/lME42IhRExVfG3k/ettiOf0/BKkprUi6D//Wp5VLeVEbEn0JmU5zvTJRYRO0XEzcBaStX9ZO5XLbtNCLRVcBpeSVKTehH0P1Ytj42I6LL++dXy65l5zXSJZeYtwA3V05O7bRMRTwL2p1wYnDebzA4S77InSWrSFkeazLwC+DBlLP15EdGZrIeIOAk4rXr62on7RsT+EXFQROw+YdXrq+UJEfH6iFhc2+dJwPuqp2/MzOu39DO0xY58kqQm9eouey8G7l09LouIiyk9+veu1r9ykjvsXVht835qpfrM/GBE3Ad4KfAKymQ8VwC7AXtUm70bOL1H+W+F1fuSpCb1pE45M1dQ2vRfTemsdzClN//XgSdm5r9tRpovo8y+92nK5D73ARYC5wN/lpnPycyNUyQx8Nast6QvSWpOr0r6ZOYdlNvnnjGLffaZZv2XgW41BHPCqrX1ufdt05ck9ZeRpkVOwytJapJBv0W26UuSmmTQb8no6Oj43vvOvS9J6jODfkvqnfgAlizyUEiS+stI05J61T5YvS9J6j+DfkvqVftg9b4kqf8M+i2pT8E7bwQWzh9pMTeSpGFg0G/JxDvsjYwY9CVJ/WXQb4nD9SRJTTPot2SVQV+S1DCDfkvWjLvDnodBktR/RpuWWL0vSWqaQb8l9Xn3DfqSpCYY9Fuyaq3V+5KkZhltWjJxyJ4kSf1m0G9JvXp/sUFfktQAg35LVq+ttek7Ba8kqQEG/Zasrt1lbxvvsCdJaoDRpiXjhuxZ0pckNcCg3xLH6UuSmmbQb8kqZ+STJDXMaNMSS/qSpKYZ9Fti0JckNc2g3xKDviSpaQb9lqyutek7I58kqQkG/ZaML+l7GCRJ/We0aYl32ZMkNc2g3xLvsidJaprRpiVr7MgnSWqYQb8lVu9Lkppm0G/B+g0bWbdhdNNzg74kqQkG/RbU77AHsGSBh0GS1H9GmxbUh+sBbLPIkr4kqf8M+i2YGPS9ta4kqQkG/RbUg/6i+fOYN2+kxdxIkoaFQb8Ff1y9ftPf2y22lC9JaoZBvwU33752099Lt1/cYk4kScPEoN+CFXes2fT3ztstajEnkqRhYtBvwYo7xkr6u2xv0JckNcOg34IV9er97azelyQ1w6DfghW3W70vSWqeQb8FVu9Lktpg0G/BCnvvS5JaYNBvgb33JUltMOg3bHR0lJut3pcktcCg37A/rl4/7ra69t6XJDXFoN+wes/9+fNG2HGbhS3mRpI0TAz6DatX7e+07SJvtiNJaoxBv2E33W57viSpHQb9htlzX5LUFoN+w7zDniSpLQb9htVn41tqSV+S1CCDfsNuqvXeN+hLkppk0G9Yvfe+1fuSpCYZ9Bs2ft59S/qSpOYY9BtW771v9b4kqUkG/QZt3Dhq9b4kqTUG/Qb9YdU6No5Nu2/1viSpUQb9BtXn3V84f4QdFi9oMTeSpGFj0G/Q+DH6ixkZcd59SVJzDPoNsmtT2wcAAA2dSURBVOe+JKlNBv0GOe++JKlNBv0GrRh3hz177kuSmmXQb5Bj9CVJbTLoN6he0t/ZNn1JUsMM+g2q997fZTur9yVJzTLoN6g+Tt/e+5Kkphn0G1Qv6dt7X5LUNIN+Q9Zv2MgfVq7b9Nze+5Kkphn0G3LzyrXjnlu9L0lqmkG/IfWe+0sWzmPbRc67L0lqlkG/ITdPmHdfkqSmGfQbclOt5/4uVu1Lklpg0G/IuIl57LkvSWqBQb8h46r37bkvSWqBQb8h4+bdt3pfktQCg35Dbrq93pHPoC9Jap5BvyH23pcktc2g3xDn3Zcktc2g35AVt1vSlyS1y6DfgDXrN3DbmvWbnlvSlyS1waDfgHp7PjhOX5LUDoN+A+pV+9svXsCShfNbzI0kaVgZ9BuwYtzEPJbyJUntMOg3YFzPfav2JUktMeg3YPy8+/bclyS1w6DfgHr1vnfYkyS1xaDfACfmkSQNAoN+A+pD9qzelyS1xaDfgJus3pckDQCDfgPG9963pC9JaodBvwHjq/ct6UuS2mHQ77OVa9ezcu2GTc+t3pcktcWg32f1MfoAO1nSlyS1ZEGvEoqIbYGXA08F9gVuAy4C3pKZF2xmmsuAfwEeDewK/B64EHh9Zv6yF/nut3rV/o7bLGThfK+zJEnt6EkEiojtgK8ApwP7Ab8A7gCOAz4fEadvRpoB/Bj4K2B74GfAEuAZwI8j4lG9yHu/rbjDMfqSpMHQq2LnO4AjgZ8C+2fm/TNzb+CZwHrgjIh4xEwTi4gFwPnAUuCDwO6ZeTiwO/B2SvD/aEQs7VH+++amWvX+LvbclyS1aIuDfkTsD5wEbASenpnXddZl5geBN1RPz5hFsicBBwDLgWdn5qoqvbXAi4FvAncF/m5L899v9tyXJA2KXpT0nwHMB76bmZd2WX9WtTy6aqOfiZOr5QerQL9JZo4C76yenjjLvDbOKXglSYOiF0H/qGr5rW4rM/M3wLXV02OmSywi5gFHTJUm8O1quV9E7DXDfLai3nt/6fZW70uS2tOLoH9Atbxqim2uqZYHziC9PYBtpknzOqAz+H0mabamfoe9pVbvS5Ja1Ishe7tWy99Psc2KarnLLNKbNM3M3BARtwI7zzDNvlu3YSOfv/i3/PqWVeNev/x3t2362+p9SVKbehH0t62Wq6fYphMJt51im4np9TLNvvufb/6KN34hp9zGefclSW3qRfX+huk32WS0x+nNNM2+u3XluinXL14wjwN3276h3EiSdGe9KOnfDuxEGTs/mU4b/coZptexhMlL+7NJs+9e9LADmDdv5E7V+wAL54/wuPvuYUc+SVKrehH0b6IE/akmyum0u984w/Q6lgJ/mLhBNXnPjrNIs+/usmQhpz36oLazIUnSpHpRvd+ZA3+fKbbprLt8usQy83rg1mnS3IsyN8CM0pQkSb0J+t+vlkd1WxkRewKdSXm+M8M0fzBVmsCfVMtrq4sESZI0jV4E/Y9Vy2Orm+RM9Pxq+fXMvGaGaZ5bLU+JiG7j3Dppnj3D9CRJGnpbHPQz8wrgw5Tq9vMiojNZDxFxEnBa9fS1E/eNiP0j4qCI2H3Cqg9RJubZD/hwROxQbb8oIt4KPJjSBPC2Lc2/JEnDohcd+aDcBOfe1eOyiLiY0rlv72r9KzPzy132u7Da5v2MzbdPZq6OiBOBLwFPBB4VEZdRLgJ2BtYCT8jMFXdKUZIkddWTW+tWwfco4NWUjnUHU3refx14Ymb+22ak+UPgMOA9lB78h1Hu5PcJ4MjM/Gov8i5J0rDoVUmfzLyDcvvcM2axzz7TrL8WePaW5EuSJBU9C/pbqb2WL1/O8ccf33Y+JEma1vLly6EMW98swx70V65du5Yrr7zyurYzIknSDOzFFsxEOzI6OhBT10uSpD7rSUc+SZI0+Az6kiQNCYO+JElDwqAvSdKQMOhLkjQkDPqSJA0Jg74kSUPCoC9J0pAw6EuSNCQM+pIkDQmDviRJQ8KgL0nSkDDoS5I0JIb91rpExLbAy4GnAvsCtwEXAW/JzAs2M81lwL8AjwZ2BX4PXAi8PjN/2Yt86876dCyPAF4CPAS4O7AKuBT4CHBWZq7tQdY1QT+OZZf32Au4BLgLsG9mXtOLdDVen87LecApwLOAQ4HtgGuBTwP/lpm39CDrc9JQ31o3IrajBOMjgXWUH4ClwLJqkzMy89WzTDOAb1fp3ApcAewH7AysBh6fmV/syQfQJn06li8B3kSpEVtFOZa7APeoNvk+cFxm/nGLP4A26cex7PIeI8D/AY+oXjLo90GfzsvtgM8AD6teurxaHkA5V68BHpKZv96izM9Rw169/w7Kl/GnwP6Zef/M3Bt4JrAeOCMiHjFVAnURsQA4n/Kl/iCwe2YeDuwOvB1YAnw0Ipb29mOI3h/Lo4E3U86RNwI7ZeZhmbkH5cfm+ur93tnbjyF6fCwn8ULGAr76px/H8r+pnYOZGZkZwH0pF+b74Hk5qaEN+hGxP3ASsBF4emZe11mXmR8E3lA9PWMWyZ5EudpcDjw7M1dV6a0FXgx8E7gr8Hdbmn+N6dOxfBkwAnw2M0/LzDW1NL9KqVYEeGpVTawe6NOx7PYeZwIrNz+nmk4/jmXV3PYMYAPw6Mz8QS3Ni4HnVU8fExF7bNEHmKOGNuhTvjjzge9m5qVd1p9VLY+u2uhn4uRq+cGJbb2ZOcrY1eeJs8yrptaPY/nQavmRSdZfSGmbBHjgDNPU9PpxLDep2oLfT2kD/qfNzqVmoh/HsnOx/f4qyE/0NeBVlELWhlnkdWgMc9A/qlp+q9vKzPwNpWMIwDHTJVb9mBwxVZqUtn6A/Swd9lQ/juVTgOdSame6Gan9PX9m2dQM9PRYdvEPwNHAhyidvtQ//TiWj6yW502S5mhmvi4z356ZN8w4p0NkmHvvH1Atr5pim2uAvYEDZ5DeHsA206R5HeXqc36V5nWTbKfZ6emxzMyNwBem2ezRwA7V37+YLk3NWK/Py00i4hDgX4HfUkqCO25G/jRzPT2W1SiA/aunv4iIHSjNBw8DdqJcQJxrR+mpDXNJf9dq+fsptllRLXeZRXqTppmZGyg9+meapmam18dyShGxPaVXP8CPHIbZU305llUn2w8Ai4HnOqSrEb0+lnsxFrP2pIwE+C/gScDDgVOBL0TERyNi8eyzOxyGOehvWy1XT7HNqgnbziS9Xqapmen1sZxURCwCzgWCUmvzt1uSnu6kX8fylcADKG3B529OxjRrvT6WO9T+Pg8YBR5P6Z+xC/DXVXpPAd4yq5wOkWGu3t/AzC96ZjKZwWw7jQzvBAm91+tj2VVEbAN8HHhM9dLLM/PbU+yi2ev5sYyI+1OC/m/wIq1JvT6W29T+XgwcnpmdPgErgXdExErgvcBzI+ItmZkzzu2QGOaS/u3VcskU23S+ZDMZ2nN77e9epamZ6fWxvJOI2BX4CvDY6qXXZOabpthFm6enx7Kq5n0/sBB4Tmb+Ycuyp1no9XlZ3+Z9tYBfdzalbX8ecMIM0hw6wxz0b6qWU02U02lnunEW6U2aZtWu2Ok8NJM0NTO9PpbjRMTBlNn3HkQpkfx9Zp4+23Q0I70+lq+hTNP63l5N36sZ6/WxrF+w/bTbBtXQ6E7H2v1mkObQGeag3+l8tc8U23TWXT7FNgBk5vWMddKbLM29GBveNW2amrGeHsu6iDgW+E61/2rgLzPzzbPKnWaj18fyKdXy1IgYrT+Aq2vbXV29fsZsMqsp9fpYXsNY/4CpOuqtr5ZrpthmaA1z0P9+tTyq28qI2JOx+aG/M8M0O7NDdU0T+JNqeW11kaDe6MexJCKOAT5PmUVxBfCwzPz4FuRT0+v1sfwhZX6Mbo8f1bb7UfXa8tlnWZPo6bGsRj/9sHp65BSbHlQtpxoqOLSGOeh/rFoeW90kZ6LnV8uvz+JGHOdWy1OqXt6TpXn2DNPTzPT8WEbEvpTJW7YBfg0cnZnf3dKMalo9PZaZ+eTMfHC3B/Dk2qad7d67ZdlXTT9+Y8+plk/uNsFZRDyGMuZ/I/DJWeR1aAxt0M/MK4APU6rbz4uIzkQSRMRJwGnV09dO3Dci9o+IgyJi9wmrPkS5utwP+HA1eQQRsSgi3go8mNIE8LZef55h1qdj+W5K/4tVwPH2Am5Gn46lWtCnY/k+Spv99sAF1YRLnX0eALyrevquasY/TTDMQ/agzMp17+pxWURcTJnZae9q/Ssz88td9ruw2ub9jM23T2aujogTgS8BTwQeFRGXMXZr3bXAEzJzxZ1S1Jbq2bGMiAcydtvOlcB/dS+obPI6O4n1VE/PS7Wq17+xayPiBMptke8FXFL9xo4Ch9T2fWnvP8rcMLQlfYAq+B4FvJrSkeRgSk/TrwNPzMx/24w0fwgcBryH0tv0MEpV0ycot4H8am9yr7oeH8v6POBLKXO1T/XYbUvzrzH9OC/Vjj79xl5N+V19JfAzSr+APSh9CF5IufveHT35AHPQyOioc8RIkjQMhrqkL0nSMDHoS5I0JAz6kiQNCYO+JElDwqAvSdKQMOhLkjQkDPqSJA0Jg74kSUPCoC9J0pAw6EuSNCQM+pIkDQmDviRJQ8KgL0nSkDDoS5I0JAz6kiQNCYO+JElDwqAvSdKQMOhLkjQkDPqSJA2J/w9qCS8FvWUSywAAAABJRU5ErkJggg==
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAf0AAAFbCAYAAADfiVd7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAXEQAAFxEByibzPwAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3deZwcdZ3/8dckk8kdEjIJgZzk4JNASOQSUPiBrndERWW9QBFR2dVV13XFgxXcXRRhXVzXAy9AwIt1QRQRFxFQIqBCCISQDznIASHkIOSeZDLTvz++356p6fRM5uju6p56Px+PedRU19Hfrq6uT33PqsvlcoiIiEj/NyDtBIiIiEhlKOiLiIhkhIK+iIhIRijoi4iIZISCvoiISEYo6IuIiGSEgr6IiEhGKOiLiIhkhIK+iIhIRijoi4iIZISCvoiISEYo6IuIiGSEgr6IiEhGKOiLiIhkRH3aCahFZjYNeLqTxTlgK7AW+A1wtbtvqlDSSsbMzgeuA55190mJ1+8FzgAud/dL0kld18zseuB9wH3ufmaF3nM1MLWTxTuA54F7gG+6++JKpKmUCs75We6+Ir5+GXApsNDdT0sndV1LnMu4e113l5Xw/acQjt0AYIm7H1uO95F0mNkx7v5E2unoLuX0+24JsDDx92dgMzAX+Cyw1Mz0I8+OdXQ8Hx4AVgOHAx8E/mpm700tdZKG99N+rZ1rZlV5cyQ9Y8H/Ad9MOy09oZx+3/2Du99b+KKZjQV+CCwAfm5mc9y9tdKJK4P3AsMINzZyoGvd/bLCF81sEPAv8e97ZrbQ3VdWOnFl8A3gp8DutBNSjcysDjg/zt4BvAG4CLg/rTRJyZwHvBq4L+2E9IRy+mXi7lsIRcx7gaOA16SbotJw97XuvszdFfR7wN2b3f0LwF+BBkKuv+a5++Z4PqxNOy1V6pXANOAF4CvxtbfHTIFIxSnol1EM/Evi7Nw00yJVI58r0PmQDe+P0zsJuftngcGJ10UqSsX75TcoTncULjCzeuBdwN8CxwNjgf3AeuD3wH+6+1NFtnst8BHgFGAMsI1wc3Ez8H1331dkm1HAx4G3AjMJN3yrgFsIjQ1f7M6HKdaQL9HI63lC3fUFwIeAo+NmS4DvAte7e65caasRnZ4PAGZ2BnAh8DJgAuE3uhl4EPiWu99dZJvZwKcJucojgD2E43cH8F/uvrHINgOBcwmlUS8BhhPOu7uAq9x9eXc+TGcN+RING+cAh8X0nRLf52nCuXqVu+8sV9rSZmaHEM5pgFvcvdXMfgZ8EviwmX218PdgZjcSPvst7v62Tvb7PuB6wnGckd9HPG7vJRy3ebQft/8DriysTjKzmcBywo3IKcD3gDMJVTV3uPt5cb1hwAeANwPHEq45TcAaws3Mf7r7c0XSORz4u/h5ZgDNwB+BfwWOi+/3A3e/sGC7IYQqkHcSzp+G+F63A//h7huKHZdOjtWrCOfNQuDDhOvQCcB2QlXcZ+J6Y2JaXx/f8xBgF7AC+BXwNXffVnDc8s4wsxyw0t1nJt67R99HpSinX0ZmNoOQo2sl/DiSy4YSvvwbgDcC+4DHCcWAswgn6CNmdlzBdh+L+zqL8CN6lBBAziA0KPltPNmS28wGFhN+bMcSTrzlwGzgC8CjcZ2+qiO0Y/g+oUrjKcJNzCnAtcCXCzeoYNpSF+v13xBnf11k+ZeBewkXyZHAk4ReIOMJweN3Zvahgm1OJVQZvJ9woVpCuIgfC3yOcA5NLthmBOEcuh54BeEi/zjhpvODwGIzeyul8UFCr4VXAs8Am2j/bn9rZh2uQRVOW7m9CxhKuCnPf98/jtOZwKuKbHNdnC4ws9Gd7Pe8OL0+EfBHEYLbtYRrwS7CcWsk3IA/ZmZv7mR/Q+K2rySccxB7apjZYYTGyV+Py7cBjxG+l7nApwjn2OHJHZpZI6FU6ypCwFtDOC/PItzAvqlYQsxsIvAQcDXwUmALsJRQRfJPwOPxnO+pw4C7gflxf0MJ1yfMzAjH6nLgZMI5+hjh2nUCcBnwQLyJgXBTvZDQaBfCDcRCwu8w/zn68n2UlYJ+iZnZQDMba2ZnEXJaA4Avu/uaglUvJlzUNgMvdfcj3f0kd59CONmfI9wZfi6x79G01wu+y90nxm2OBF5LOBnPBM5JbDOccKc6DbgNmOLu5u4vASYTLkZTgV/GG5G+GA+8m5Brb3T3Ewg5/5vi8n8ys3EppS0VZlZnZiPM7GTgl4SL/X2Exm/J9c4EPkO4QbwAmODuJ7r7LOBIws0AwL8VBMqrCefJ1+M2x7v70YSbruXARODzBcn6HiHgPAGc7O6T3P1Ewvf3JcIF8UdmVooqiE8SAvgEd58PTCGUUkEozSi8+FcybeV2QZz+r7s3Abj7w7QH1ouKbHMPobfHYODthQtjUHwFoWvwDxOLfhBffxw4yd0nx+M2DriC0Pj2J2Y2p8h7jo1/89z9eEJp0VVx2VeBYwgBcpa7HxXPywmERsp7CCVSHyvY57cIAXMFMN/d58auisfE184q8tkGEEr35gF/AMzdp8fryIT4eRuBX5jZ+CKfoyszCTcsMxOf8Udx2Q8Iv5OFhGvQnPie4wk30zlC7v9cAHd/NpZq3RC3X+Tup7n7OxPv15fvo6wU9PvuHjPL5f8Id4ebCRf4owhB+l+KbPcqwgX+i+7+l+SCOP/tOJvs7meEu/KtwM8Ktvk/Qk7654RSg7wLCSf8I8Db3H19YpsNhBuENYTShfO7/ak79y13/7q7t8T3aAI+Qfjh1BNuaNJKWyVcWnA+tBJKYh4EXkeotlng7vsLtnsd4Xu71d2vS/b0cPdnCDljCBei5AVvfpxe5+57E9usIuSMbiccQwDMbD6h2HQ38Fp3/3NimyZ3/zyh6H0Ixc/bnloMfCBfNOruOXf/FuFiCPDyFNNWNmZ2DHBSnL2pYHE+2LzJzI5ILog593wwP7fIrt9DuG7fk89ImNkJhBuEXcBr3L0txxmP22cJwXQo0NnYGt9wd4/b7HX3HWbWAJxG+O1+vLA42t3vAP4nzrZdp2IX5XMI5/6b3f3xxDZPEm4Wmoqk4WzC9WEd8PpkNU6s4ruAkJseT8hY9NTl+aoBd9/h7nvj8be4/MJk1YG7t7r79YQqiQ6fsSsl+j7KRkG/7wr76T9IyKXkL8CfBL5eWOQe7xSHANd0st98F6hhideeJtxUjAGujxfJ5D7/zd3PcfdbEi+fHac/zQfigm32EG4UoMjddy/8qsh7bCEUmQEkiywrnbZKKOyn/ydCUeHWuPyVwG3JEg+AWLc4hOIXeujYJS55TuQvjNeY2d/EKoT8Pn/l7me5e7JaJX/M73X3Zzt5rxvj9PWF520v/Lqw3jrK53aLnQ+VSls55XP5z9BeSpP3I9pvgi/kQNfH5f+vsGqG9qL96xKv5Y/b3V3Ud+eP2xsKq1SiA7oQuvs+d59GON9+W7g8dkfMt8lInpP59Nzn7kuL7HcVRa4Tie1udfcDuoDGG+H8DVNvrgfFPuN6dx8HDHP3ZYXLY7ur7XF2WOHyTpTi+ygbNeTru8766TcQcqffAD4KDAT+PrmOuzeb2RgzO4VQKjA9To8j1EFB4sbM3Tea2VcIxbXvBd5rZhsIdVX/R2h8U9iVLl8M+sEu6pAmxGkp6s47u1jvidPkOVfptFVCZ/306whVLzcAfwPcbWbHJW923D1nZq1mdjqhEeR0QknIvDjNS14kPk24gJ4M/A7YaWZ/INQn/toPbPSWP+YnmllnfcXzVSkjCcWefemO15vzoVJpK4t445W/eftx4U2Pu6+On+904EIzu7zgPFhtZvl2EO8mVunF9j1zCUEoeWOfP26ndHHc8gFrNOE3tb5g+QEN8RLpaTKzCbGKahbhvJxNuE7lb9qS52Q+PV2NPPlXEtWQBdu9JeaWizk0Tq2T5V3p6jPusdAg+UTaP+Mc2huSQvczyaX4PspGQb9MPLSg/25s4HIZ8CEz+7K7rwMws5HAfxEuDoMSm+4jFHcvIhT5Fu73EjN7mHAj8f8IJ8x74t9+M/sp8NF8cSqhcReEE3nWQZLdWcOhnjig50CB5FCnlU5bUfFi+t+dLL7W3a/t63vEC/89ZnYuIed3LPAOYsOueFPwKUIbjuRnzQFOyBmcRwF3v9PMTiK0EVlACIZviH9Xx4vOhxM5rvwxL6wm6Mxo+hZYe3M+VCpt5fJG2tP/aTP7dBfrTiZ8b78seP06QtB/D+3tePLf/80FOeHeHLfCILOn2Iqx+PvbhJx18rvaTWhw10CiiiZqjNMDemYkbC/yWv5zTIl/XWkws2HFSgQ6E0sODxDr1a8hXE+TthHa30ymm0X7USm+j7JR0C+/2whBfyDhznhd4vVXEH5s/017tcDyWALwQYoEfQB3vxW4NbYQPYOQg3wD4e77XMJJl28gtSvOn+Xut5f4s/VVtaTtEA68cOX9rpRv5O73mdm2+J4n0t6a+wuE8wRCe43fEM6HZe6+08xmUSTox30+Crwr5jBPIZwPryZ8ptMIrf5nufsuwjEH+Kq7f6qUn60EqjltPZEv2t9D6I3TmcMI1+CLODDo30LojXNsrCNfSugNAKH4Pyl/3L4Sq4lKwkJXvXsIpY9bCI3z/kqomlnl7i2x5LHwt5NPz6gudj+yyGv57f7O3Tur9iwpM5tAaDTYSGj78l1ChutJYE0sffsZPQv6Zfk+SkVBv/ySQ+/WAcTi/FfE1xa4+z1FtptU+EJswT4LqHP3xe6+nVC0+ytCy/jPEBrznWVmh8TcvhMaxxxDaNR1gBhQDiGc5JV8OFBVpC1Wz5TlYSudyJ8T+fNhECGXD/Cv7n5pkW2KnQ8DCS37j3D3P7h7vh/0Hwmt/F9GqMc8nNBw9DbCMYdwzIuyMFrcbMIN6rpO6uTLoZrT1i0xiORv1j/n7l/rYt1rCF1zX2tm09x9dX6Zu++OweaDhEZhCwmlesvdfWHBrpxQWtDVcRtHCN5rgWe6edzeGrdpJvSkKNav/IDzktBI842EaqnOzC/ymhM+Q1efYwrhfF7rRcYG6IULCQF/E3C8uxe7SSv2GbtSru+jJNSQr/wWxGkOeDj+f2Ri+cMUiHfY+bv65I3Zhwj1ZDfF4uBCdyX+zzdyyjeYubBYt7fYUOU24C/Af3T+McqimtNWFhb6GI+Js/leG43AiPj/AedDlGzwlT8n5hIa8v0+BptCD9A+CFDh+fCqLroLXUG4WbiXyt4MVXPauuu9hO9nHwe22i+U76EzgBD8C+Wrlc6mvf77uiLr5Y/ba83sqE7e60rCcbub7h+3/HXqxWIBP1Zd5sedSF6n8u0NTo837YXbHUYY6KdQ/nO8y0I//2KuJ5SKHuzYdlf+M64uFvBjKUu+x1FhJrnDzXtCub6PklDQLxML/bPfSnsf6Z/HrlcAyVaiX0i2uDazowlFu/kfS7LF6M2Ei8lcQn3t8MR2jYTBJQAeSpzA3yQ0YJlJ6O8+JbHNuLjPOXG/lQ6s1Zy2kjOzebR3x1oD3Br/30R7MfA/mtmhiW3Gmdm3CA268oYBeHhE7+OEgP4TM0s+ArmBcD6MIhQ3/iFucz+hJXY9cEcsDchvM9jMLqH9BuMrXsGHRFVb2sys0cxmW88Gh8oPr/urIo1qO4jf3wNx9oLkdSAuf5Bwrci3/2ilvW94cr17CdVQg4DfxJLE/GcYbGaX0t7ltSfHLX+dGmdmH0lmNOJ38zva25+0XadiF7XbCeflL5LHLzaW+yXtN7lJPyZUY4wlDNw0J7HdKDP7Du1jFFzRzc9wMPnPeLyZvSXxfnVm9gbCWCv5YF/Yej/fZmGiJXqSlPH7KAkV7/fdf8c62qRBhAFn8o04HiYM8QiAuy8ys5sJw+/+E3C+mT1NONnzd553EeplR5rZKHff7u7PmdkFhLvcjwMfMLOVhO9xBqHL12bCkJn599pqZm8i3H2+CnjazJYSLiBGGARkP2Gwn7b+tJVQzWnrgwssDP2ZNIBwLsyI85uBc/INi9x9fwxo3yLUx68zs6cIn38W4ftdRGhQ1Egobnwk7uudhG6BZwKrzGwVoZHVkYQLcgvwoYIA9B7CwEcnAwvjufdCTF/+In61u3+nT0eid6opbR8lDDEM3ciNxUCYD3Ddbfz5beBU2kdd/FnB8usIDflGAr/toivjuwnH7STC6HGrCN1EZ9LesOwqd/9BN9MF4ab0IcJ38Q3gc2a2njCwzRGE4Hs3oTfKxIJtP0BoBHc04fHiSwm/5bm0jz56bHwNCI2fLfTi+Q1hWPKlZraM0DbiKNpb0f+DuydLNfviu4Q2FdMJ7aRWE36fUwkD6eyLn+MMDizmXxSnM4DlZrbe24eiLsf3URLK6ffdXEJDluTfPEI//dsJd/6nxL7qSe8mFNf/hfA9zCdc5H8FvNHdX0N7y+S2Pqnu/iPCBf7nwIuEH9VUQjHvl4E57v5E8o3infdcwlC3jxFuSOYQxsq/ATihoG9/xVRz2nppMgeeDycSctx/JLTONz9wQKZvEy6edxG+17mEQPAgYQS7kwm5Duh4PiwlXCC/TRjHYSrhnNhKCDzz3T3fWDC/zRZCd7EPEy5oownnX3N8jze7+yf7fCR6oZrT1g35XP56ivRr78T/EBrJQfER+m4k3LjBgQ342sT2LqfFffyBUIU0nxC0fk1oLNtVL4Ji+9xPyFl/llCtOJIQqJsJI0qeBrwlvsd4C1368ttuJAS8fyPUcc8gtMj/JeFczp//HVrfu/sKQoPniwnD/x4R33Mb4Vid5u4le359bPd0IuHGainhNzeX8Bv8AWFUwfwTMY+zMCJiftu7CKNoriXcEEyPJZRl+T5KpS6Xq6p2MCIiVSNW0d3k7t0dmEW6wcxuJdwwXOzuV6adnixRTl9EpHOvIOQApZvM7HVmttLMftLJ8uG094l/pNg6Uj6q0xcRKcLM3kmognvLwdaVDhYRivKnm9lDhHH990Nbl8bvEkbWe4IDhyiWMlPxvohIERae5HZYDTUirRpm9s+EbmkQGmI+TWiIN4PQ0Hkt8IbC9kdSfgr6IiJScmb2UkIvoxMJDd32Eh4bfCvwzU4GwpEyU9AXERHJCDXkExERyQgFfRERkYxQ0BcREckIBX0REZGMUNAXERHJiEwPzmNmGwhPTlqXdlpERES6YTKw292LPU77oDId9IFhDQ0NI6dMmXJ02gkRERE5mLVr17Jv375eb5/1oL9uypQpR//6179OOx0iIiIHtWDBAlasWNHr0mnV6YuIiGREWXP6ZvZh4Brgg+7+/V5sPxa4BHgzYRjHrcBC4Ep3f7CUaRUREenvypbTN7OTgKv6sP1hwEPAJ4DDgMeAHHA2cL+ZXVCKdIqIiGRFWYK+mZ0J/BYY2Yfd/IzwRKa7gEnufiJwBPAZYCBwjZnN6WNSRUREMqOkQd/MhpjZZcDvgDF92M+ZwBnATuDd7r4VwN1b3f0rwE2ExzN+vq9pFhERyYqSBX0zmwk8BVwaX7oEWNPL3Z0fp7e5++Yiy6+J07eY2dBevoeIiEimlDKnP4kwaMCDwMnufnkf9nVqnN7fyfI/A/uB4YRnNYuIiMhBlDLoPwMscPdT3f3h3u7EzAYA0+PsymLruHsz8GycPaq37yUiIpIlJeuy5+4rgBUl2NUY2tO1qYv1tgBTgcYSvKeIlMGefS2s3LQz/u0K0407WfvCbva35NJOnkjFzJt0CN9/34mMHtaQajqqcUS+YYn/m7pYb0+R9UWkwnK5HJt27mXlxl0dA/zGnTz74p6D70AkA/66Zit3LtnAO186JdV0VGPQb+nh+souiFTY9qZmrrl3JX9auYWVm3ayo2l/2kkSqWpjhg3i1Blj005GVQb9nYn/h3SxXr7V/u4ypkVEEnK5HL9ZsoHLfvkEG3fs7dY2DfUDmN44nBnjRzBj3AhmjBvO9MYRDBs8sMypFakek8cMo6E+/ZHvqzXo7wUGA13dFuXr8jeWPUUiwroXdnPpL5/g98uK/+TGDm8IQX18COwzxo9g5rgRHDF6KAMH1FU4tSJSTNUFfXdvNTMH5gHTiq1jZoMIo/NBGBtARMpkf0sr1y58mqvvWs6e5vbat4b6AVx0xgzOOKqR6Y0jGDM83QZKInJwVRf0o4cIQf9U4AdFlr+UkPYmYFEF0yWSKY+ue5HP3vI4Tz63vcPrL585lsvfcizTGoenlDIR6Y30KxiKuzlO325mhxZZ/ndx+jN3V/NgkRLb0dTMpbct4exvLewQ8A8d3sDV75jPTR84WQFfpAalmtM3symELne73X1tYtHdhEfovhz4hZmd4+7Px4F7PgW8B2gGvlLpNIv0Z7lcjjuXbOCyXz3B89s7NtR7x4mT+czrZ6sYX6SGpV28fwPhwTr3AWfmX3T3nJm9N75+OrDGzJYAE4EJhG5673f3JyueYpF+6pmtu7n0tie4u6Ch3oxxw/nS2cdy8vT0uxuJSN+kHfQ75e6rzOw4wpP03gQcS+iedydwpbvfk2b6RPqL/S2tXLdwNf9511MHNNT7h1fM5ENnTGdwvbrXifQHZQ367j7tIMvPPMjyzcA/xj8RKbG1W3Zz0U0Ps7Sgod7LZozl8rOP5UjV24v0K1Wb0xeR8vvEzxZ1CPiHDm/gkgVzOPu4idTVqW+9SH+joC+SURu2NfHI2hfb5s85YRKfe8McNdQT6ccU9EUyauGKzW3/Tz50KFedMz/F1IhIJVRrP30RKbNk0D9t5rgUUyIilaKgL5JBuVyO+zsE/cYu1haR/kJBXySDlm/c2faUvLo6quKRnyJSfgr6Ihl0//L2XP4xR4ziUDXeE8kEBX2RDErW579cRfsimaGgL5IxzS2tPLhqS9v86WrEJ5IZCvoiGbN43Yvs2heG222oH8CJ08aknCIRqRQFfZGM+WOiPv+kaWMYMkjj6otkhYK+SMaoPl8kuxT0RTJkR1Mzi9a1D72r/vki2aKgL5Ihf376BVpacwCMHjaIY444JOUUiUglKeiLZEiyPv9lM8YycICepCeSJQr6Ihmi+nyRbFPQF8mI57c3sXzjzrZ51eeLZI+CvkhGJHP5k8YMZcqhw1JMjYikQUFfJCOST9U7fVYjdXWqzxfJGgV9kQzI5XIdHrKj+nyRbFLQF8mAFYlH6QK8bIaCvkgWKeiLZECyaF+P0hXJLgV9kQxINuI7bZZy+SJZpaAv0s+FR+m+0Davrnoi2aWgL9LPLV73Ijv37gfCo3RPmnZoyikSkbQo6Iv0c8n6/BOn6lG6IlmmoC/Sz2noXRHJU9AX6cd27t3PorXtj9I9XY34RDJNQV+kH/vz01vYHx+le8hQPUpXJOsU9EX6MT1KV0SSFPRF+jHV54tIkoK+SD+1cXsTTz2vR+mKSDsFfZF+auHKjo/SnTpWj9IVyToFfZF+Klmff9pMPUpXRBT0RfqlXC6n+nwROYCCvkg/tHLTTp7fnnyU7tgUUyMi1UJBX6Qfuj9RtH/04aMYO2JwiqkRkWqhoC/SD92/Ykvb/xqFT0TyFPRF+pnwKN32oK/6fBHJU9AX6WceeybxKN2BepSuiLRT0BfpZ+5f3p7LP2HqGIY26FG6IhIo6Iv0M8mueqepPl9EEhT0RfqRXXv388jarW3zGnpXRJIU9EX6kYcSj9IdNaSeuRP1KF0RaaegL9KPJOvzXzajUY/SFZEOFPRF+pEOQ++qPl9ECijoi/QTG3c04c/vaJs/XfX5IlJAQV+kn0jm8ieO1qN0ReRACvoi/USyPl+P0hWRYhT0RfqBAx6lq/p8ESlCQV+kH1i5aRcbtje1zetRuiJSjIK+SD+QzOUfffgoGvUoXREpQkFfpB/443INvSsiB6egL1Lj9utRuiLSTQr6IjVu8TPbCh6lOyblFIlItVLQF6lxixIP2HnJlNEMa6hPMTUiUs0U9EVq3JPPtY/Cd6wesCMiXVDQF6lxTz63ve3/OYePSjElIlLtFPRFalhzSysrNu5sm59z+MgUUyMi1U5BX6SGrdq0i30trQDUD6hj5vgRKadIRKqZgr5IDUsW7c8YN4LB9QNTTI2IVDsFfZEa1rE+X0X7ItI1BX2RGrZUjfhEpAcU9EVqWLK7noK+iByMgr5Ijdq0Yy+bd+5tm1fQF5GDUdAXqVHLNrQX7TeOaGDcSD1ZT0S6pqAvUqM0KI+I9JSCvkiNUn2+iPSUgr5IjVJ3PRHpKQV9kRq0b38rKze1D787e4Jy+iJycAr6IjVoxcadNLfkABg0sI4Z4zT8rogcnIK+SA1KFu3PHD+Shnr9lEXk4HSlEKlBye56qs8Xke5S0BepQR1a7qs+X0S6SUFfpMbkcjn10ReRXlHQF6kxm3bsZcuufW3zKt4Xke5S0BepMU9uaC/aHz9yMGNHaPhdEekeBX2RGqOifRHpLQV9kRqTDPqzVbQvIj2goC9SY5JB/2jl9EWkBxT0RWpIU3MLKzftaptX8b6I9ISCvkgNWbFxJy2tYfjdhoEDmN44POUUiUgtUdAXqSHJov1Zh42gfqB+wiLSfbpiiNSQDiPxqWhfRHpIQV+khqi7noj0hYK+SI3I5XJ60I6I9ImCvkiNeH77Xrbubm6b14N2RKSnFPRFakSyaH/CqCGMGd6QYmpEpBYp6IvUiKXPqWhfRPpGQV+kRizboJb7ItI3CvoiNUIt90WkrxT0RWpAU3MLqzbtbJtX8b6I9IaCvkgNeOr5HcTRdxlcP4BpYzX8roj0nIK+SA1IFu3bhJEafldEeqW+VDsys2HAp4F3AkcCO4CHga+5+296sb9pwNMHWW2xu7+kp/sWqTUdht9V/3wR6aWSBH0zGw7cDZwMNANLgLHAa4DXmNll7v7FHu52fpy+ADzZyTrLe5FckZqTzOnPVn2+iPRSqXL63yQE/EeBN7n7OgAzOw+4FrjMzBa6++96sM980L/Z3f+uROkUqTm5XE4t90WkJPpcMWhmM4BzgVbgPfmAD+DuNwJXxNnLerjrfNB/vK9pFKll67c1sb1pf9u8ivdFpLdK0RroPGAg8IC7Ly2y/Jo4fbmZTenBfvNBf0lfEidS65YlcvkTRw/lkGGDUkyNiNSyUgT9U+P0/mIL3f1ZYE2cPaM7OzSzEf3wuIgAABMYSURBVMD0OKucvmRah/r8CarPF5HeK0Wd/sw4XdnFOquBqcBR3dznPKAOWA+MM7NPAccR0vsU8BN3X9ir1IrUmA4t91WfLyJ9UIqgPz5ON3WxzpY4bezmPvNF+2OApYTqg7xXAx8xs2uBi9y9uXBjkf5EjfhEpFRKUbw/LE6bulhnT8G6B5MP+kOA7wHHAIMJpQWXELoFXgD8V49SKlJj9uxr4ektu9rmNfyuiPRFKXL6LXT/5iHXzfX+GPe5yN2/nXh9LXC5ma0GbgIuMrNvuvsT3dyvSE3x53eQi7+aoYMGMlXD74pIH5Qi6O8kFMMP6WKdoXG6uzs7dPcfAT/qarmZXQrMAt4MKOhLv5Qs2j9qwkgGDqhLMTUiUutKUby/OU7HdrFOvi5/YwneL29RnB5Zwn2KVJVk0D9aRfsi0kelCPr5IXKndbFOftlT3d2pmQ0ys4FdrJJPuxrySb+1TC33RaSEShH0H4rTU4stNLNJQH5Qnj8dbGdmNsbMXgD2EYruO3NcnBYbEEik5uVyOZ7coJb7IlI6pQj6/xOnZ5qZFVl+UZze5+6rD7Yzd98KbIiz5xdbx8zeDswg3Bjc0pPEitSKZ7buYUdi+F3TwDwi0kd9Dvruvhz4MaEv/S1mlh+sBzM7F7g4zv574bZmNsPMZpvZ4QWLvhynZ5nZl81scGKbtwPXxdkr3X19Xz+DSDVK1udPGjOUUUM0/K6I9E2pnrL3MeDY+LfMzB4ntOifGpd/vpMn7N0d1/khiVy9u99oZvOATwGfIQzGsxw4DJgYV/s+cGmJ0i9SdTQSn4iUWimK93H3LYQ6/S8SGuvNIbTmvw94m7t/qRf7/GfC6Hu3EQb3mQcMAm4H3ujuH3T31lKkX6QaLVN9voiUWKly+rj7LsLjcy/rwTbTDrL8d0CxEgKRfq/D8LuqzxeREihJTl9ESmvX3v2seaF9LCvl9EWkFBT0RarQsg3tw+8ObxjIlEO7+9gKEZHOKeiLVKFkfb5NGMkADb8rIiWgoC9ShZL1+bNVtC8iJaKgL1KF1F1PRMpBQV+kyrS25limB+2ISBko6ItUmWe27mHXvpa2eZugnL6IlIaCvkiVWZrI5U8dO4wRg0s2nIaIZJyCvkiV6dCIT4PyiEgJKeiLVJkOI/GpEZ+IlJCCvkiVeVJj7otImSjoi1SRHU3NrHthT9v80Qr6IlJCCvoiVcQ3tPfPHzG4nomjh6aYGhHpbxT0RapIYSM+Db8rIqWkoC9SRZZqJD4RKSMFfZEqskyN+ESkjBT0RapEa2uuQ53+bA2/KyIlpqAvUiXWvLCb3XH43bo6DcwjIqWnoC9SJZKN+KaNHc6wBg2/KyKlpaAvUiWWdRiJT7l8ESk9BX2RKtGh5b6erCciZaCgL1Illq7f1vb/bLXcF5EyUNAXqQIbtjWxfltT2/z8SYekmBoR6a8U9EWqwKK1W9v+nzh6KONHDUkxNSLSXynoi1SBRxJB/7gpo1NMiYj0Zwr6IlVg0doX2/4/fsqYFFMiIv2Zgr5Iyvbtb+XxZ9sb8SmnLyLloqAvkrInn9vO3v2tADTUD+CYI9SIT0TKQ0FfJGXJRnxzjxhFQ71+liJSHrq6iKTsEdXni0iFKOiLpGzRumTLfQV9ESkfBX2RFG3asZd1L+xpm1cjPhEpJwV9kRQl6/MnjBrCEaOHppgaEenvFPRFUpSsz1cuX0TKTUFfJEXJnL4a8YlIuSnoi6Rkf0srjz2jQXlEpHIU9EVSsmzDDvY0twAwaGAdcydqUB4RKS8FfZGULFrXXp9/9OGjGDJoYIqpEZEsUNAXScmiNeqfLyKVpaAvkpJkTl/1+SJSCQr6Iil4Ydc+nt68q21eLfdFpBIU9EVS8Ghi6N3GEYOZNEaD8ohI+Snoi6RgUcGgPHV1dSmmRkSyQkFfJAWPaFAeEUmBgr5IhbW05li8ToPyiEjlKeiLVNjyjTvYuXc/AAMH1DFvkgblEZHKUNAXqbBkff7sCSMZ1lCfYmpEJEsU9EUq7JEOg/KoaF9EKkdBX6TCkoPyqBGfiFSSgr5IBW3b3cyKjTvb5jX8rohUkoK+SAU9+kx7Ln/MsEFMGzssxdSISNYo6ItU0KK1HR+yo0F5RKSSFPRFKuiRtcn6fDXiE5HKUtAXqZDW1hyPrtXjdEUkPQr6IhWyavNOtjeFQXnq6mD+ZOX0RaSyFPRFKiRZtG+HjWTEYA3KIyKVpaAvUiEdG/Eply8ilaegL1IhHR+nq/p8Eak8BX2RCti5dz/+/I62ebXcF5E0KOiLVMDidS+Sy4X/Rw2pZ3rjiHQTJCKZpKAvUgHJ+vyXTBnDgAEalEdEKk9BX6QCNCiPiFQDBX2RMsvlcgcMvysikgYFfZEyW71lN1t3N7fNv0SD8ohIShT0RcosmcufOX4EhwwdlGJqRCTLFPRFyuyRZNG+cvkikiIFfZEySw7Kc/xU1eeLSHoU9EXKaPe+/Szb0D4oj4bfFZE0KeiLlNFjz2yjpTWMyjNicD2zxo9MOUUikmUK+iJllCzanz/5EAZqUB4RSZGCvkgZJRvxHa/++SKSMgV9kTIJg/Ikn6yn+nwRSZeCvkiZPLN1D5t37m2bf8lk5fRFJF0K+iJlkizaP7JxOIcOb0gxNSIiCvoiZdOhaF+D8ohIFVDQFymTDg/Z0aA8IlIFFPRFyqCpuYUn1m9vm1dOX0SqgYK+SBkseXYb++OgPEMHDWT2BA3KIyLpU9AXKYNkff68SYdQP1A/NRFJn65EImXQYVAe1eeLSJVQ0BcpA7XcF5FqpKAvUmLrX9zDhu1NbfPHafhdEakSCvoiJZbM5U8+dCjjRg5OMTUiIu0U9EVKrEP/fA29KyJVREFfpMQ6PllP9fkiUj0U9EVKaO/+FpYkB+VRfb6IVBEFfZESunPJBvbtbwVgcP0A5hw+KuUUiYi0U9AXKZFbFz3DJ29e3DZ/4rQxNNTrJyYi1aM+7QSI9Ac3PrCaf7ntibb5kUPq+ezr56SXIBGRIhT0Rfogl8vxrXtXctVvve21xhEN3HDByRx9hIr2RaS6KOiL9FIul+OKO5fxnftWtb12xCFDuOnCk5k+bkSKKRMRKU5BX6QXWlpzXPKLJfzkz2vbXpveOJwbLzyZiaOHppgyEZHOKeiL9FBzSyufvHkxv1q8vu21OYeP4oYLXqrR90Skqinoi/RAU3MLf/+jR/j9so1tr50wdQzXnn8ShwwdlGLKREQOrmRB38yGAZ8G3gkcCewAHga+5u6/6eU+pwBfAF4HjAc2AXcDX3b3J0uRbpHu2tHUzAd++Ff+/PQLba+dPquR75x3AsMadP8sItWvJJ2IzWw48HvgUmA68ASwC3gNcIeZXdqLfRrwCPABYASwGBgCnAc8YmavLUXaRbrjhV37ePf3HuoQ8F93zAS+/74TFfBFpGaUauSQbwInA48CM9z9eHefCrwX2A9cZmav6u7OzKweuB0YC9wIHO7uJwGHA98gBP+fmtnYEqVfpFMbtjXxt995gMef3db22ttPmMQ33n0cg+sHppgyEZGe6XPQN7MZwLlAK/Aed1+XX+buNwJXxNnLerDbc4GZwFrgQnffE/e3D/gY8EdgNPCPfU2/SFfWbNnF26/5Eys27mx77fyXTePKt82jfqBG2xOR2lKKq9Z5wEDgAXdfWmT5NXH68lhH3x3nx+mNMdC3cfcc8J04+64eplWk23zDDs655gGe2bqn7bWP/80sLj3raAYMqEsxZSIivVOKyshT4/T+Ygvd/VkzWwNMBc4gFNd3yswGAC/tap/AwjidbmaTk6ULIr2Ry+XYtHMvKzfuYsWmnazcuJNfPPosL+5ublvnkgVzuPD06SmmUkSkb0oR9GfG6cou1llNCPpHdWN/E4H86Cad7XMd0EIoYTgqzoscVHNLK2u27Gblpp3hb+Outv93NO0vus2AOrjirfP425MmVzi1IiKlVYqgPz5ON3WxzpY4bezB/jrdp7u3mNk24NBu7rPsmltauePx5zoUBUt12N7UzKpNIbiv3bKb/a25bm87aGAdX3vHcSyYd3gZUygiUhmlCPrD4rSpi3XykXBYF+sU7q+U+yy77/1xFVfe6QdfUara2OENzBg3ghnjhzO9cQSvOeYwpo4dnnayRERKohRBv4XuNwjsTharpYfv3/1sWxltS9T9SnUbUAdTxw5nxrjhIcAngvyY4Q1pJ09EpGxKEfR3AmMIfec7k6+j393N/eUNofPcfk/2WXYfeeVMBgyoU/F+FWoYOIAjG4cxY9wIZo4fwZSxw9S/XkQyqRRBfzMh6Hc1UE6+3n1jF+sk95c3FnixcIU4eM8hPdhn2Y0aMoiLXzc77WSIiIh0qhT99PNj4E/rYp38sqcOtjN3Xw/khz7rbJ+TCS33u7VPERERKU3QfyhOTy220MwmAflBef7UzX3+uat9Ai+L0zXxJkFEREQOohRB/3/i9Mz4kJxCF8Xpfe6+upv7vDlO329mxVpW5fd5fTf3JyIiknl9Dvruvhz4MaG4/RYzyw/Wg5mdC1wcZ/+9cFszm2Fms82ssBP0TYSBeaYDPzazkXH9BjP7OnAaoQrgv/uafhERkawo1TNBPwYcG/+WmdnjhMZ9U+Pyz7v774psd3dc54e0j7ePuzeZ2buAu4C3Aa81s2WEm4BDgX3A2e6+5YA9ioiISFEleUxYDL6nAl8kNKybQ2h5fx/wNnf/Ui/2+RdgPvADQgv++YQn+f0vcLK731OKtIuIiGRFqXL6uPsuwuNzL+vBNtMOsnwNcGFf0iUiIiJByYJ+jZq8du1aFixYkHY6REREDmrt2rUQuq33StaD/u59+/axYsUKPaVPRERqwWT6MBJtXS5XFUPXi4iISJmVpCGfiIiIVD8FfRERkYxQ0BcREckIBX0REZGMUNAXERHJCAV9ERGRjFDQFxERyQgFfRERkYxQ0BcREckIBX0REZGMUNAXERHJCAV9ERGRjFDQFxERyYisP1pXMsjMJgH/BLwOmBpffhq4Hfiqu29MK21Sm8ysHvgTcBLwfne/Pt0USbUzs1cCHwVOBcYCm4HfA5e7+5Plel/l9CVTzOx04HHgE8AsYC3wLGDAp4HFZjYvvRRKjfosIeCLHJSZXQHcDZwN5IAngUOB9wCPmNmry/XeCvqSGWY2GvhfYDRwJzDZ3We7+yzgKGAhMAH4hZkNSS+lUkvM7CXAv6SdDqkNZnYBcDHQDLwfmOju84EjgF8DQ4CbzGx4Od5fQV+y5HxgHLAe+Ft3fy6/wN1XEe66twJHAm9PI4FSW8ysAbgBGAjsTTk5UuViZuKqOPtxd7/e3XMA7v4CIae/AxgPvKkcaVDQlyx5RZze7u47Che6+yZCvSyoqFa654vAscDXgQ0pp0Wq31mEYvzlwHcLF7r7NuAfgE8Cy8qRADXkkyz5d+DnwFNdrFMXpwPLnxypZWZ2CvDPhPPpc4SSIpGu5Ovqb3P3lmIruPsPy5kABX3JDHf/C/CXzpabWSNwZpx9ohJpktpkZkOBHxJuEt/v7nvMLOVUSQ3INxJ+wszqCDeKbwImAS8AvwVucPfmciVAQV+k3X8Bw4DdhAZ/Ip25gtD486vu/qeDrSwS5bsINwP3AacXLD8H+LiZLXD3deVIgOr0RQAzuwR4d5z9V/XVl86Y2ZmEetdlwCXppkZqzMg4vZrQbugThEZ7wwn1/asJbURuj41ES045fck8M7sUuCzO3gZcmV5qpJqZ2UjgOqAVON/dm1JOktSWoXE6Djjb3X+RWHa7mS0njCMyD3gf8L1SJ0A5fcksM6s3s+/QHvB/C7wz34VGpIj/BKYRivUfSjktUnt2x+nigoAPgLs78JM4++ZyJEBBXzLJzEYBdwAfii/9DHiTcm7SGTN7PXAhYfS0L6ScHKlNL8bpo12ssyROp5cjASrel8yJY+//BpgbX7oKuFg5fDmId8TpHKCpi9b615nZdcB97n5mJRImNeNJQkv9wV2ssz9OyzLYk4K+ZIqZHQHcC8wAWoCPuvs1qSZKasVThKGaO3Mi4WK+HNhIqJsVSXqQ0Ff/pV2sMztOV5YjAXW5nDI3kg2xNeyfgBOAfYT6+1vTTZX0F2a2mtAlS0/Zk6LMbDYhtw/w1sLrj5mNB1YQWvm/y91/Wuo0qE5fsuRiQsAH+IgCvohUkrsvA74fZ68zs7Pyy8xsAqFt0UjgMeCWcqRBxfuSCTGX/49xdj9wvpmd38Umd7j7l8qeMBHJmo8BhwMLgF+a2TpgE6GNUQOwBniHu+8rx5sr6EtWHAuMif/XAy8/yPorypscEcmiOGTzWYTBwD4AHAc0AqsII4Fe7e5byvX+qtMXERHJCNXpi4iIZISCvoiISEYo6IuIiGSEgr6IiEhGKOiLiIhkhIK+iIhIRijoi4iIZISCvoiISEYo6IuIiGSEgr6IiEhGKOiLiIhkhIK+iIhIRijoi4iIZISCvoiISEYo6IuIiGSEgr6IiEhGKOiLiIhkhIK+iIhIRijoi4iIZMT/BwG3+Nz+L153AAAAAElFTkSuQmCC
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAiIAAAFbCAYAAADoceW+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAXEQAAFxEByibzPwAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3dd5wcdf3H8dflcrlLJySkQHr7JJQEMNL9EUGKRvFn+/1AQCM2/MmPnygqAgoogujvZ0PsUgRBUVGUplKlg/SSfJIAKZRUQkgvd/v74zuzN7fZvbp3s+X9fDzusTe7M7Of3Zmd+cy3TU0mk0FEREQkDb3SDkBERESqlxIRERERSY0SEREREUmNEhERERFJjRIRERERSY0SEREREUmNEhERERFJjRIRERERSY0SEREREUmNEhERERFJjRIRERERSY0SEREREUmNEhERERFJjRIRERERSU3vnn5DMxsPvFTg5QywFlgK3Ap8z91X9VBoRWNmc4ErgFfcfXTi+buBw4Fvuvu56UTXOjO7EvgocI+7z+6h91wMjCvw8npgBXAXcJm7P9UTMRVTzj4/xd0XRc+fD5wH3O/uh6UTXesS+zLuXtPe17rj/bq43o8AnwemAtuAh9z92GKtv9SZWW9gorsvSDw3m/C7Aqhz9x1pxFZNCh0LotfqCMeDE4HdgXXAj6OXu3ycKHReSrw+HZjv7pnOvkdnpV0i8ixwf+LvEWA1sDfwFeB5M9snvfCkhy2j5f7wILAYGAV8EvhXdEIRaTcz+wBwFTATeANYCLyYalA9yMyOJhxr9dspbd8FzgHGE5KVVwjHv25lZoPM7EfA00Btd79fPj1eIpLjv9397twnzWwo4cAxB/iDmU1396aeDq4bfAToR0i2ZGeXu/v5uU9GVwpfjf5+YWb3u/sLPR1cN/gR8FtgU9qBVLj/iB7vA95ehVf+ZwOW5/lHgOkAVfidpOUVou8cWJLzWryffsvdvxI/aWbDKM5x4k/AQ8D2nOf3Bz7bxXV3SdqJSF7uvsbMPkrYaFOBo4Hb0o2q69x9adoxlCN33w58zczeCcwilI6clW5UXefuq1FS2hOGRY/36YTbzN03AfPTjqOaRMeyQt95vJ/enbNMUY4T7r6OUN1TctKuminI3dcQihMhVNWI3BM9an+QjoiLm7emGoVI6+LzcdXtpyVZIpJQFz2uz30hanx1AqE4a39gKLADeBW4E/husmFWYrljCMVQBwFDCBnis8D1wC/dfVueZQYB/wO8H5hM2GFeBG4gNKh9oz0fJl9j1UTjpRWEthCnAJ8C9owWexb4OXBlvkZExYqtTBTcHwDM7HDgE8AhwEjC/r2aUBz5Y3e/I88y04AvAUcQGohtJnx/twA/cPeVeZapBU4iNOrdF+hP2O/+AXzH3Re258MUaqyaaLw7HRgRxXdQ9D4vEfbV77j7hu6KrdR05neSaHgdO8/MzoOWDWHNbAhwOvDvwBTCb2gJcDPwf+7+Wk4scwmN/n4HXApcRthWawjf8ffMLP6t1gEfjNa/D+EY9Shwnrs/aGb9CVUn/wmMIbRh+Rtwlru/mud7mAycBrydsI/0JxzDngauI1RvNubEGTvHzM4BrnL3uW01VjWzWYRjy+GE39OG6H1+Ha2jMWf+u6N53wm8RmjvcDiwC6F0+0bgoo52QDCzEwjb+y3AgOg7ehy4GrguWW2f+Mw3Erb9hcD7COeHl4G/ELbR8gLvNRE4k1AKPxrYAjxDaCpwRe5nTiw3k3BeORLYg3AceRz4ibv/ITHfeHIaq+ZprH+XmUHUYaCtRu1m9h7Cce8twHDCMe9e4Nvu/lie7ybbWDXPe2+P3nsCYX86CLjU3U8v8LnPIXzHt7n7O/PN0x4lWyJiZpMIV75N5FTLmFlf4O+EH8S7Ca3gnwFeJxxIPg08bmb75Sx3erSu9xDqyZ4knNQOJxxM/hYdyJPLTAOeAr5OOJC8SmjsNg34GvBkNE9X1RB29l8SqqMWEA5aBwGXAxfnLtCDsaUuaifyrmjy5jyvX0wo0jwJGAjMI/S+Gk5I0m43s0/lLHMw8C/gY8BgwsnsFcJ3eTZhHxqTs8wAwj50JeFksImw7w0lVBk9ZWbv7+rnjXyScKI4gnAQXUXztv2bmbX4/fZwbGnpyO9kAaHR85vRdLIxNABmNoOw3c8HZhAaBzohqf8C8Fx0ws5nGiFpGA88R7iweS5nnu8RDuiTgUVAPXAU4WTzduBhQsP8XoTf7nDgZOCfZtYvuSIze28U6/8AEwnJ0nyggbC9f044JsZWFPj8O12g5TKzL0WxnUT4bTxFSHgOB35F+D0NLrD4OwnJ1vsIJ8VlhBPb54AHzGxgW++fiOO7wLXAO6LP8RTh2H0McA1hX89nEKFN0GlAI+F4MI7Qc+qxfJ0got/Gs8BnCBcl8wm/ucOAXxB+cwPyLPdf0ef9JLBbtI4NhN/t783sm218zEdJ7JM0d+J4prWFzKzWzH5NSK6OI5T8PQ30JVygPxRVZ7f13s8mpuPfxxbC7wng+OjCP5+4AfQVBV5vl5JKRKIvdmiU4d1CiO9id89t1PNlwg9vNXCAu09w97e6+1jgAEI2Hl9pxOveBbgkmjzB3feIlplA2Kk3A7OBDyWW6Q/8lXCguREY6+7m7vsSrl5uJuzcf4mSo64YDnyYcJAZ5u5vIVz5XRO9/gUz2y2l2FJhZjVmNsDMDiT82CYTqmd+mzPfbEKbkSbCldNId5/l7lMIB8C7o1m/kXPy/h5hP/lhtMz+7r4n4QS3kHBlc05OWL8gHBSfAw5099HuPouw/S4iHAR+Y2bFqD76POFAO9LdZwJjaW5Udgjh4JNWbGlp9+/E3S+KriCfiF673N0Pi68qoxPirYSTzoOEK9S93X0/wtXwXwnJxZ/NbEKeWGYSThbj3H3/aJl/5MxzGmHf3D1a71TCBUM9cDuh8fqB7j7R3fcmXIk3ApNoeSwaQjjY1wM/AUa4+0x334dQavbDaNYPm9le0ee/Nefz/zr6/Be19gVHvYwuIRx/vwEMTxwrjyAkOLNpmfQknU64UBzr7nu5+2TgvdHnmgx8vLX3T8QxHTiDcFJ8u7uPj+LYg1Da0QScbGYH5Vn87YSL0g+7e7x9JhC28+7AdcmTa1SicS0hqbsQGOru+0bHkP0Jx4MjCd99MsZDCKVidcC3ou9qlruPIRyLmoCzzeyoQp/T3T+UU9Lx39F2+u82vqIvEpLWTYTagd2j3/uoKM7ewPXRvlPwvYHk+8yO3ns5zQ1kdwN26uoeXchNJQy5cWMbsbYq7UTkLjPLxH+EK5vVhJPOVMKP4at5lnsHYQNf4O6PJl+IpuOdJZn1GmEnW0soUk0u83fCldQfCKUrsU8QfjiPAx9IFpVGG+pDhKuSKcDcdn/qwn7s7j+Mi//cfQvhKiJD2KkOSDG2nnBezv7QRCixeojwQ7gTmJOnweGxhO32J3e/IllU6+4vE0oQIJzEhieWmxk9XuHuWxPLvEi4Gr6JRMv26GB1POHHeYy7P5JYZou7n0OoNmkg/37bUU8BH48ameHuGXf/Mc1XSoemGFuaOvI7ac1nCSelFYT9Ktul191XEKpUniGUCOQmpLFzEttnTZ7q09vc/ZJ4n432x6ui13oRtm/2GObu/yAUq0M4AcbeRjjZLQdO99DQNF5mI2F/jY9dXR3yIL6C/7m7fy3nt3EXoaQD4DgzyzeuxUrgg8kqLXf/C+HiEhL7bRtmNC/esnelu/+acJy/jpCc5fNFd78uscwrhIRoHbAXYfvGzo/Wc6m7f9XdNyeWewL4ACGROtHM9kws91XCdrze3b8S7YvxclcQSo8gJCVFY2Z9aG6wf6a7/zbe96IYTiOU7A2guTdOh7j7esI5EULCkyuu9rw2uY90RtqJSO44Ig8RrubiD/V54Ie51SVR9tgA/LTAeuMfabJo8yVCojMEuDI6cCfX+Y0oM70h8XT8g/ut56kbjHbWeEO9p9CH7IC/5nmPNYTiQQh1rWnF1hNyxxF5gFDUuDZ6/QjgxmTJEIC7n0XYH04qsN5kt7fkPhG3l/ipmR0ZVf/E6/yru7/H3ZNF/fF3fnd0UMvn6ujxnbn7bSfcnOfEBqGYGfLvDz0VW5o68jtpTfy7uMrd1+a+6KG92KXR5HFmljvAWhPhCrs1O1Uj0jw2xCaaG2AnxRcVgxKx/MXdBxIGJcvX86eBUDUNLffxDjGzKTR39f1+vnnc/UHCbxNCu5pctydPyAn59tvWxL/PmWb2v1FsyThOc/cPu3u+73ADoYSQnGVWEdrPQUhKMLN6QnUSNJes5S73DKEqv4bQHICo6uyIaJafFfgM5xK+z2KP4fJvhAR5K3mqp6KLsTmEUtSfd+F94uqZ45JVcdF39p/RZJeqZSD9xqqFxhHpQ7iK/xEhs6sF/is5j7tvN7MhUbHcVEKd6VRgP0JRJSQSLXdfaWaXEK5sPgJ8xMyWA3cQihFv8dBNKikuwv5kVD+bz8josRhtMQqdQOLsPLm9ejq2nlBoHJEamouCjwTuMLP9kgmYu2fMrMnM3kZowDiRUGI0I3qMJZPvLxFOagcSisk3mNk/CcXrN/vODTvj73yWmd1X4DPE1WADCVU7Xemy3Zn9oadiS1NHvpfWxL+Lx1qZJ35tN2BXQoPU2BvJK+cCluV5Li65WOP5x0eKx3nYaWRZd98cXUTNJOzjkwhX93vT3Ji7KxeY8Xeyyd3ntTLfY4TqwXzjkxRl+7j742b2G8JIo18gVLstJhyz/0YobcrbcB14ukAyBOHiBsL5AkKpcVyq8mMzK3R1HzfqjL+jsUCf6P+8Iz57aOy+U4P3IoiPaQsL7YNenLGW/gm8QHNV4S+j548jJJTPeKJBbGelnYjkFV2J/NzMRhGKzD5lZhe7+zLI1u3+gHAFXJdYdBuhquIJ8tRpufu5ZvYYIbn5N8KJ+sTob4eZ/RY4LS5qJWScEHbUKbnry9HeLL81O/XYyZE8MPV0bHlFDYIvLfDy5e5+eYHX2i0qFbjLzE4itPfYh5CNXxvFUENo6X42LT9rhlA8eTV5ihbd/TYzeyuhzdEcwgn6XdHf96IT+qfd/flokfg7z63iKWQXunay78z+0FOxpakj30tr4hKH1sZWeDPx/0BaJiJtJSEAG1t5rUODNJrZuwjHvck5L71KqHZ7F6HEtyvi7+TNVudqfj1fw9NibR8Iv9s7CQ1BDyS0ift49LfFzH5OqILJfc/XKSzubRYfK5KNbme1I6Z4uaF51tlT4vfu1veNLvCuILSbOZnmRCSululyaQiUaCKScCMhEakllHQsSzz/dsKB4FKaq3QWRiUlnyRPIgLg7n8C/mSh2+vhhCvtdxGy3LiFeNwIcGM0/R53v6nIn62rSiW2wRSu8729mG/k7veY2broPWcRJSKENiDnR///jtAA8TnCfRM2REW6+eo4cfcngROiapmDCPvDUYTPdBihd8CUqB4+Pqn8n7ufWczPVgSlHFupWk84cRfq/QEtT+yFrr67XdTD5q+E0o6HgN8Q2q/Mi666MbNX6HoiEn/GQa3O1fw+3fqdRBchlwOXR1Wys6O/OYQSitMJiU1u99L+raw23t5xSUUyWRzoebrFF9BiOXp2/I/4vdvdA6kLriL0zHybmY0lnHePIZTc5a3K6qhST0SSVww1AFFVzNuj5+ZEjady5buhT19CyUGNuz/l7m8Sfth/JRT5nUVosPoeMxsclYo4oeHbXoSGizuJTnKDgSXeszfoK4nYoqq1ot2crB3ifSLeH+oIpSEAX3f38/Isk29/qCW0ot/d3f/pYcTDe6O/b0St4e8jtEB/ByH59WjxvQoFZ+H2BNMISfOyAm08ukMpx1aq5gMHE8ZfuL7APPEV8tqoHUpavkxIQu4Ejs5tFxbV2Q/Lt2AHxaN+9rNwa41C1TPx99Jt49JEJd9TgQ0erAJ+T+gSexphyIXPEC4ychORPc2spsA+vm/0GHe1foHQELWW8Pt5uEA8byX04HkpSlaSy+1Nzoio0TKzCG1tFlLcBqtxF+zJZtaQrxrKzE4lNMi9zd3/t7Nv5O4vm9nfCRf3/04ohekN/LlY55W0G6u2ZU70mKG5rjbZjW6nuqmoAdEJ0WQy0foUoR7vmjyNzqBlt7u4IV/cKO4T+brARt2/biT0xe70hu6kUo6tW0TdxeIrsbinwTBCy3AoXNf/icT/8T6xN+HgcKeZjdx5ER6k+Wovd394R9S1MJ9vERKYu+nZBK2UYytV8Xf20XxdHKO2anHbtFt7LKr84uPeU/kapxPavcXtFXIvMFsk763xMAhknNR+Lt88UZIe90zqzu/l64Rxfv4v94UowYgHKMzX8HoEUaPSpKi6P25g+/toXetpTiIKDdw1gfDbeZqoW3W0XNweq1CS8WFC6eqEIif+9xISgvroPXLj7UU47h1J8/GxkJ0u+POIe/+8j6iRL0WqloESTUSi8SPeT3OXuT946PYGLcfp/1qyp0PUrepWmttMJFuPX0+ou9ybUP/fP7HcMJq7rD3s7nH94mWEMUkmE8bjGJtYZrdondOj9fb0yb6UYys6CwNPxd0elxBu4AShp0S8vc4ws10Ty+xmZj+m5Q+1H4C7P0Uo2q4ljCkwOrFcH8L+MIhQBPrPaJn7CI3kegO3RAfkeJl6MzuX5qTnkgINEbtFqcVmZsPMbJqV9oB6PyE0rBwB3GyJsULMbDjhRLU3ISE9P40AE+Lj3gnJRNPMGqLSgR8m5s3tNRNXNYyjfeLu3Z8yswui0pb4/WYDf4wmb6PI1a85riFchM4xsy/mHOvH0nx+uCXfwsCvLNG92MKopn8hnJjvJnRSiJ1HKN34sJl91xIDl1kYd+cWQqK3hOYqYQjjrGQI45mcbS3HJvkozYnNt9v5mdslSoK+F01+z8LYW/H79iW0JXoLof1ToR49sWRVVKF95C+EoTXeRhjrZgWFv/cOS7tq5tKozj+pjtAgKW5w9xih+A0IfbrN7HpC3+gvAHPN7CVC4534QPIPQj3/QDMb5O5vuvtrZnYKYef+H+DjZvYC4TuYROj+tprEYDvuvtbMjiNcOb0DeMnMnidkkEbIRncQBkhrdRS8Yivl2LrgFDN7R85zvQj7wqRoejXwobiluLvviE6yPybUHS8zswWEzz+FsH2fIAzyNoxQTfN4tK7jCd0QZwMvmtmLhC6VEwgN0hqBT+X0pjqR0CXzQOD+aN97PYovbsT2PXdv68ffHUopttMIB3co0dIXd38jOoDfTKiiWRT9hrbT3AtlDWFQrLSHxv864Zg2Engm2se3Ei5EBhAScif0psmtinyC0FX5xCihv9fdC95t1d1/b2ZnE5LxrwGfMzMn9BwaH812D3BSd1bvuftj0W/7m4QT+dnRPt2PsE/3JlSPfD7P4usI1Sj3RrFvJjRyryWUjJ+cjN3d74/aFv6MMIjaqdG+MJCoSp9w8j3aW46rcoeZnQF8N4rzzOi8Mobm3ptfd/einbQTvk441v8H4WJ0GWE/mBLFvZlw/H+t8CqAUM2zkdCu5uHoOPhxd497F+Hu2yz0YPofwnd4WYFu5J2SdonI3oRiq+TfDMIP7CbC0NsH5amb/TChquVRwmeYSTjx/BV4t7sfTXOPgGym6O6/IZx0/kC4X8GehAxwIaF9yHR3bzFEs7v/K4rz64RiufGEkoYVhO6kb/GWY4/0mFKOrZPGsPP+MItQMnEv0e3MfedB7H5CKIL8B2G77k1IXh4iDFp1IM3Ze3J/eJ4waNRPCOPMjCPsE2sJDeRmunvy6icer+JthNsI3EM4wc8knLxuAd7r7vkOjN2ulGMrVR4Gq4p/Q88SusROIZzUvwnM8DDgYaqiLpIzCRdSSwgn4kmEE/FFhM/wg2j2OTnVz5cQejusIbS5mEEbPIyfcxDh6v/N6L37EapDPgoc0RNtZjyMAvs+wv67lZBMjCIkV2cTfqM73ZOHcJV/AOFzDyF87ucIXfYPTZSwJ9/rCsLn/DmhtHlvQhfdeYREaIbnuX+Zu/+A8F1dRzj5zyQksbcARxVot9ZlUSJwPKEH4T8IicQMwva6EtjX3dusOovau3yQkKD1J/wG8o0kfGXi/6JVywDUZDLV3l5NRLpDVL16jbt3eoAtkY6wPDd2k+KISg//Ajzq7u0dvbhd0i4REZHK9Xbg+TbnEpFy8MnocacRa7sq7TYiIlKBzOx4QvVpviHARaTERUMczCS0M5tLqNZeSZHGDklSIiIi3eFOYFYZNZQWkZaaCI35kzcVPMPbvq1Bh6lqRkSKzt1XKgkRKV9Rr6L7CUNALCL0pLm29aU6R41VRUREJDUqEREREZHUKBERERGR1CgRERERkdQoEREREZHUKBERERGR1FT1OCJmtpxw/4RlacciIiLSDmOATe4+Mu1AiqWqExGgX58+fQaOHTt2z7QDERERacvSpUvZtm1b2mEUVbUnIsvGjh27580335x2HCIiIm2aM2cOixYtqqhSfLURERERkdR0a4mImX0a+CnwSXf/ZSeWHwqcC7wXGA2sJQw5+213f6iYsYqIiEjP67YSETN7K/CdLiw/AngY+BwwAngayADvA+4zs1OKEaeIiIikp1sSETObDfwNGNiF1fwOmAT8Axjt7rOA3YGzgFrgp2Y2vYuhioiISIqKmoiYWYOZnQ/cDgzpwnpmA4cDG4APu/taAHdvcvdLgGuAOuCcrsYsIiIi6SlaImJmk4EFwHnRU+cCSzq5urnR443uvjrP6z+NHv/dzPp28j1EREQkZcUsERlNGGjlIeBAd/9mF9Z1cPR4X4HXHwF2AP2BWV14HxEREUlRMRORl4E57n6wuz/W2ZWYWS9gYjT5Qr553H078Eo0ObWz7yUiIiLpKlr3XXdfBCwqwqqG0BzXqlbmWwOMA4YV4T1FpMQ99OIaLr51PvNefTPtUEQ6bMbowfzyo7PYpV+ftEMpOaU4smq/xP9bWplvc575RaTCrN24jYtumcfvH3s57VBEOu1fS9Zy27PLOf6AsWmHUnJKMRFp7OD8mW6JQkRSlclkuOHxV/jmLfN4fWNl3VtDqs+QfnUcPGlo2mGUpFJMRDYk/m9oZb64t8ymboxFRFLw4qoNnPvnZ3nghTUtnt9r90GcM2c6Iwa1dmgQKT1jhvSjT2/dVSWfUk1EtgL1QGvpY9w2ZGW3RyQiPWLrjkZ+eveLXHbXIrY1NmWf71tXyxeOnsrcQ8bTu1YHc5FKUnKJiLs3mZkDM4Dx+eYxszrCKKsQxi4RkTL38ItrOPtPz/DCqo0tnj9y2nAueO9ejB6i5mAilajkEpHIw4RE5GDgV3leP4AQ+xbgiR6MS0SKbO3GbVx86zyu/1fLxqgjBtVzwXF7ccxeI6mpqUkpOhHpbqVaxnl99PhBM9s1z+ufiR5/5+6b87wuIiUuNEZ9mSO/e0+LJKSmBuYeMp7bP384x+49SkmISIVLtUTEzMYSut9ucveliZfuAO4HDgX+bGYfcvcV0WBnZwInAtuBS3o6ZhHpupdWb+TcPz/D/YtaNkbdc9QgLnr/Puw7ZpeUIhORnpZ21cyvCTe3uweYHT/p7hkz+0j0/NuAJWb2LLAHMJLQZfdj7j6vxyMWkU7buqORn93zIj+6axHbdrRsjPr5o6bysUPVGFWk2qSdiBTk7i+a2X6EO+weB+xD6Kp7G/Btd78rzfhEpGMeeel1zv7TMyxauaHF80dMG87X1RhVpGp1ayLi7uPbeH12G6+vBs6I/kSkDL2xaRsX3zKf3/1rWYvnhw8MjVGP3VuNUUWqWcmWiIhIectkMtz45Kt846bnWZMYGbWmBk4+aBxnHmMMaqhLMUIRKQVKRESk6Jau2cTZf3qG+xatbvH8tJEDufj9+7Df2CEpRSYipUaJiIgU1ZoNW3n/Tx5g9Yat2eca6npxxjumcsphE6hTY1QRSVAiIiJF9f3bF7ZIQmbbbnzjvXszZlc1RhWRnSkREZGiWbhiPdc+0jwk0BnvmMrpR05WY1QRKUhlpCJSNBfdMo/GpgwA44b249TZE5WEiEirlIiISFH8c8Eq7vJV2emvvHMa9b1rU4xIRMqBEhER6bIdjU1cePPz2ekDJuzKMXuNTDEiESkXSkREpMt+969lLFgRRkytqYGvztlTVTIi0i5KRESkS9Zv2c53/74gO/3+/Uazz+jBKUYkIuVEiYiIdMlld72QHTm1b10tXzzGUo5IRMqJEhER6bRlr2/i8vteyk5/+vCJjBzckGJEIlJulIiISKddctt8tjU2ATBiUD2f+reJKUckIuVGiYiIdMpjS17npqdfy05/6Zhp9OujMRJFpGOUiIhIhzU1Zfj6TfOy03vvMYj37bdHihGJSLlSIiIiHfbXp1/lqWVvZKe/OmdPevVSd10R6TglIiLSIVu2N3LJrfOz08fuNZIDJw5NMSIRKWdKRESkQ35574u8um4LAHW1NZz1zmkpRyQi5UyJiIi028r1W/jx3S9kp+ceMp7xw/qnGJGIlDslIiLSbt/9+wI2bWsEYEi/Ok47YkrKEYlIuVMiIiLt8vyrb/K7fy3LTp9x1FQG961LMSIRqQRKRESkTZlMhgtvfp5MJkxP2q0/JxwwNt2gRKQiKBERkTbdMW8lD7ywJjt97pw9qavV4UNEuk5HEhFp1fbGJi66pXnwsrdNGcZs2y3FiESkkigREZFWXfPQEl5cvRGAXjVwzpzp1NRo8DIRKQ4lIiJS0BubtvH92xdmp//zrWOZNnJQihGJSKVRIiIiBV165yLWbd4OwID63nz+qKkpRyQilUaJiIjk9dLqjfz6wcXZ6f96+yR2G1ifWjwiUpmUiIhIXhffMo/tjaG/7h679OWUQyekHJGIVCIlIiKykwdeWM3fn1+RnT7rndNoqKtNMSIRqVRKRESkhcamDBfe1Nxdd7+xu/DuGaNSjEhEKpkSERFp4Y+Pv8zzr72Znf7qu/dUd10R6TZKREQka+PWHfzv3zw7fdzM3dl/7JAUIxKRSqdERESyfvbPF1m5fisA9b178aVjLeWIRKTSKREREQBeW7eZn//zhez0J942gdFD+qUYkYhUAyUiIoqnnk0AABuTSURBVALAd25ztmxvAmDYgHo+M3tyyhGJSDVQIiIiPLXsDW544pXs9JlHT2VAfe8UIxKRaqFERKTKZTIZLrz5+ez0tJED+dCsMSlGJCLVRImISJW77dnlPLp4bXb63Dl7UttL3XVFpGcoERGpYlt3NHLxrfOz00dOG85hU4alGJGIVBslIiJV7KoHFrP09U0A9O5Vw1feNT3liESk2igREaliv35wSfb/kw4ax+ThA1KMRkSqkRIRkSq1btN2Xl67OTv98cN0d10R6XlKRESq1PzlzfeTGdjQm9FD+qYYjYhUKyUiIlXKV6zP/j995CDd2E5EUqFERKRKzXutORGxkQNTjEREqpkSEZEq5YmqmWmjlIiISDqUiIhUoaamDAtWbMhOT1OJiIikRImISBV65Y3NbNi6Izs9dYQSERFJhxIRkSo0f3lz+5DRQ/oysKEuxWhEpJopERGpQvNfS7QPGTkoxUhEpNopERGpQvMTXXfVPkRE0qRERKQKtSgRUY8ZEUmREhGRKrNleyMvrd6YnVaJiIikSYmISJVZtHIDTZnwf5/evRg/tH+6AYlIVVMiIlJlkj1mpgwfQO9aHQZEJD06AolUmWT7EA3tLiJpUyIiUmVyb3YnIpImJSIiVUY3uxORUqJERKSKrN6wldUbtman1XVXRNKmRESkiniioequ/fuw24D6FKMREVEiIlJVkj1mpo0cSE1NTYrRiIgoERGpKuoxIyKlRomISBVRjxkRKTVKRESqRGNThgUr1GNGREqLEhGRKrFkzUa2bG8CoKYGpo5QIiIi6VMiIlIlkj1mxg/tT98+tSlGIyISKBERqRLzEomIqTREREqEEhGRKuHLm3vMaCAzESkVSkREqkTuGCIiIqVAiYhIFdi4dQdLX9+UnZ6mrrsiUiKUiIhUgQUr1pPJhP/71tUydtd+6QYkIhJRIiJSBZI9ZqaOHEivXhraXURKgxIRkSrQon2IesyISAlRIiJSBearx4yIlCglIiIVLpPJtCgR0dDuIlJKlIiIVLiV67fyxqbt2Wn1mBGRUqJERKTCzXutuVpm+MB6du3fJ8VoRERaUiIiUuGSPWamjVJpiIiUFiUiIhXONaKqiJQwJSIiFW6eEhERKWFKREQq2PbGJl5YuSE7rR4zIlJqlIiIVLCXVm9kW2MTALW9apg8fEDKEYmItKRERKSCJccPmTisP/W9a1OMRkRkZ0pERCrY/ETXXVXLiEgpUiIiUsGSPWamq+uuiJQgJSIiFazF0O662Z2IlCAlIiIV6s0t23nljc3Zad3sTkRKkRIRkQqVrJYZWN+bPXbpm2I0IiL5KRERqVC5d9ytqalJMRoRkfyUiIhUKPWYEZFyoEREpELpZnciUg6UiIhUoEwmo5vdiUhZUCIiUoFeeWMz67fuyE6rakZESlXvYq3IzPoBXwKOByYA64HHgO+7+62dWN944KU2ZnvK3fft6LpFKl2yNGSPXfoyqKEuxWhERAorSiJiZv2BO4ADge3As8BQ4GjgaDM7390v6OBqZ0aPrwPzCsyzsBPhilS8+aqWEZEyUawSkcsISciTwHHuvgzAzE4GLgfON7P73f32DqwzTkSud/fPFClOkaqQ23VXRKRUdbmNiJlNAk4CmoAT4yQEwN2vBr4VTZ7fwVXHicgzXY1RpNqo666IlItiNFY9GagFHnT35/O8/tPo8VAzG9uB9caJyLNdCU6k2mzd0ciLqzdmp3WzOxEpZcVIRA6OHu/L96K7vwIsiSYPb88KzWwAMDGaVImISAcsWrmBxqYMAHW1NUwY1j/liERECitGG5HJ0eMLrcyzGBgHTG3nOmcANcCrwG5mdiawHyHeBcB17n5/p6IVqXDJHjOThw+krla99EWkdBUjERkePa5qZZ410eOwdq4zrpYZAjxPqPqJHQV81swuB0519+3tDVSkGqjHjIiUk2JcKvWLHre0Mk98L/J+rcyTFCciDcAvgL2AekKpyrmELsKnAD/oUKQiVUCJiIiUk2KUiDTS/oQm08757o3W+YS7/yTx/FLgm2a2GLgGONXMLnP359q5XpGKpx4zIlJOipGIbCBUoTS0Mk/f6HFTe1bo7r8BftPa62Z2HjAFeC+gREQEeH3jNlau35qdVo8ZESl1xaiaWR09Dm1lnrhtyMoivF/siehxQhHXKVLW5i9vLg3ZpV8dwwfWpxiNiEjbipGIxMOvj29lnvi1Be1dqZnVmVltK7PEsauxqkgk9467NTU1KUYjItK2YiQiD0ePB+d70cxGA/FAZg+0tTIzG2JmrwPbCNUuhewXPeYbRE2kKs1/LZmIqFpGREpfMRKR30ePs83M8rx+avR4j7svbmtl7r4WWB5Nzs03j5l9EJhESFZu6EiwIpVs/gr1mBGR8tLlRMTdFwLXEsb6uMHM4gHOMLOTgC9HkxfmLmtmk8xsmpmNynnp4ujxPWZ2sZnVJ5b5IHBFNPltd3+1q59BpBI0NWVYoJvdiUiZKdbdd08H9on+5pvZM4SeNOOi188pcOfdO6J5riJR+uHuV5vZDOBM4CzCAGYLgRHAHtFsvwTOK1L8ImVv6eub2Ly9EYCaGpg6QomIiJS+ooz97O5rCG1ELiA0SJ1O6EVzD/ABd7+oE+v8ImEU1RsJA6LNAOqAm4B3u/sn3b2pGPGLVILkQGZjd+1H//piXWeIiHSfoh2p3H0jcH70195lxrfx+u1AvpIUEcmR7LprKg0RkTKhu2GJVIgWXXc1kJmIlAklIiIVQveYEZFypEREpAJs3tbI4jUbs9NKRESkXCgREakAC1asJxPdUrKhrhfjhvZPNyARkXZSIiJSAZLtQ6aOGEhtLw3tLiLlQYmISAWYpx4zIlKmlIiIVAD1mBGRcqVERKTMZTIZ9ZgRkbKlRESkzK3asJXXN27LTisREZFyokREpMzNf625NGTYgHqGDqhvZW4RkdKiRESkzCXbh0wfpdIQESkvSkREypx6zIhIOVMiIlLm1GNGRMqZEhGRMrajsYmFKzdkp9VQVUTKjRIRkTK2eM1Gtu1oAqBXDUwePiDliEREOkaJiEgZS44fMmFYfxrqalOMRkSk45SIiJSxZNfdaSPVPkREyo8SEZEyphFVRaTcKRERKWPzk113lYiISBlSIiJSptZv2c7Lazdnp6er666IlCElIiJlasGK5mqZ/n1q2WOXvilGIyLSOUpERMpUsn2IjRxIr141KUYjItI5SkREylSyx4ypx4yIlCklIiJlSje7E5FKoEREpAxlMhnd7E5EKoISEZEy9Nq6LazfsiM7rcHMRKRcKRERKUPJ8UNGDW5gcL+6FKMREek8JSIiZUgjqopIpVAiIlKG1GNGRCqFEhGRMuQqERGRCqFERKTMbNvRxAurNmSnp6nrroiUMSUiImXmhVUb2NGUAaB3rxomDhuQckQiIp2nRESkzCSrZSYPH0Cf3voZi0j50hFMpMy0GMhM7UNEpMwpEREpMy0bqqrHjIiUNyUiImUm2XVXPWZEpNwpEREpI29s2sbyN7dkp9VjRkTKnRIRkTKSHFF1UENvRg5qSDEaEZGuUyIiUkZatA8ZNYiampoUoxER6TolIiJlJHmzO7UPEZFKoEREpIzMV48ZEakwSkREykRTU6ZF1YzGEBGRSqBERKRMvLx2M5u2NWanlYiISCVQIiJSJpIjqo7ZtS8D6nunGI2ISHEoEREpEy2qZUaofYiIVAYlIiJlIpmITNdAZiJSIZSIiJQJ3exORCqREhGRMrBleyOLV2/MTqvrrohUCiUiImVg4YoNNGXC/31692L80H7pBiQiUiRKRETKQHJE1akjBtC7Vj9dEakMOpqJlIGnX16X/V89ZkSkkigRESlxG7fu4M9PvpKd3m/sLilGIyJSXEpERErcDY+/zPotOwAYUN+b9+67e8oRiYgUjxIRkRLW1JThivsXZ6c/NGs0Axvq0gtIRKTIlIiIlLB7Fq7ixajbbk0NzD1kfLoBiYgUmRIRkRJ2+X0vZf8/ctoIxg3tn2I0IiLFp0REpEQtXLGeexeuzk6fctj49IIREekmSkREStQVDyzO/j9t5EAOnjg0vWBERLqJEhGREvTGpm3c8PjL2elTDp1ATU1NihGJiHQPJSIiJei6R5axZXsTALv278Nx6rIrIhVKiYhIidne2MSvH1ycnT7xwLE01NWmFo+ISHdSIiJSYm57djmvrdsCQF1tDScdNC7liEREuo8SEZESc8X9zV123z1jd0YMakgxGhGR7qVERKSEPLnsDR5f+kZ2+mOHjk8vGBGRHqBERKSEJEtDZo0bwozRusGdiFQ2JSIiJWL5ui3c/PRr2elTDpuQYjQiIj1DiYhIibj6ocXsaMoAsMcufTl6zxEpRyQi0v2UiIiUgC3bG7n24aXZ6Y8cPI7etfp5ikjl05FOpAT8+YlXWLtpOwB962o5/q1jU45IRKRnKBERSVkmk+GK+xdnpz/wlj0Y3K8uvYBERHqQEhGRlD3wwhp8xfrs9NxD1EhVRKqHEhGRlF1+X3OX3cOn7sbk4QNSjEZEpGcpERFJ0UurN3Knr8xOq8uuiFQbJSIiKbrqgcVkQo9dJg8fwL9NGZZuQCIiPUyJiEhK3tyynd//a1l2eu4h46mpqUkxIhGRnqdERCQl1z+6jI3bGgEY3LeO9++/R8oRiYj0PCUiIilobMpw5QOLs9PHHzCGfn16pxeQiEhKlIiIpOD2eSt4ee1mAGp71fCRg8enG5CISEqUiIikINll99i9R7LHLn1TjEZEJD1KRER62HOvruPhl17PTp9y6Pj0ghERSZkSEZEelhzOfebowew/dkh6wYiIpEyJiEgPWrV+K3958tXs9CmHTVCXXRGpakpERHrQtQ8vZVtjEwDDB9bzzr1HpRyRiEi6lIiI9JCtOxq5+qEl2emPHDyOPr31ExSR6qajoEgPufnp11i9YSsAfXr34oQDxqYckYhI+pSIiPSATCbDrxJddt+37x4MHVCfYkQiIqVBiYhID3h08Vqee/XN7PTHDhufXjAiIiVEiYhID7ji/ubSkEMmDWXayEEpRiMiUjqUiIh0s2Wvb+Jvzy3PTp9y6IQUoxERKS1KRES62dUPLaEpE/4fN7QfR0wbnm5AIiIlRImISDfauHUH1z2yNDs995Dx9OqlAcxERGJKRES60R8ff5n1W3YAMLC+Nx+aNSbliERESosSEZFu0tSU4crEfWU+NGsMA+p7pxeQiEgJUiIi0k3uWbCKF1dvBKCmJlTLiIhIS0W7PDOzfsCXgOOBCcB64DHg++5+ayfXORb4GnAsMBxYBdwBXOzu84oRt0h3uTzRZfeo6SMYO7RfitGIiJSmopSImFl/4E7gPGAi8BywETgauMXMzuvEOg14HPg4MAB4CmgATgYeN7NjihG7SHdYsGI99y5cnZ3+mLrsiojkVayqmcuAA4EngUnuvr+7jwM+AuwAzjezd7R3ZWbWG7gJGApcDYxy97cCo4AfERKS35rZ0CLFL1JUVyTahkwfNYiDJu6aXjAiIiWsy4mImU0CTgKagBPdfVn8mrtfDXwrmjy/A6s9CZgMLAU+4e6bo/VtA04H7gV2Ac7oavwixbZ24zb+9MTL2emPHTqemhp12RURyacYJSInA7XAg+7+fJ7Xfxo9Hhq1+WiPudHj1VHykeXuGeBn0eQJHYxVpNtd9+hStmxvAmBo/z4cN3P3lCMSESldxWisenD0eF++F939FTNbAowDDidUtRRkZr2AA1pbJ3B/9DjRzMYkS2FEesrGrTtY/uYWVkR/y9dtZcWbW/jrU69m5znxoHE01NWmGKWISGkrRiIyOXp8oZV5FhMSkantWN8eQN821rkMaCSUxEyNpkWKYkdjE6s2bGX5ui2seDMkFy0Tji2sfHMr67fuaHU9dbU1nHRQewsBRUSqUzESkfjGGatamWdN9DisA+sruE53bzSzdcCu7Vxnt9ve2MQtz7zGy2s3px2KdMCOxgwr17dMOFZv2Eom0/V1H//WsQwf2ND1FYmIVLBiJCLx4AhbWpknPju3ZyCF5DzFWme3+8W9L/Lt2zztMKSH1faqYfjAeoYPamDkoHpGDmpg+KAGJu02QDe3ExFph2IkIo20v9Fre64zGzv4/kW4du26dZu2px2CFNngvnWMGFTPiEENjBzUwIhBDYwYHP4P0/UMHVBPrW5iJyLSacVIRDYAQwhjexQSt/nY1M71xRooXCrSkXV2u88eMZlevWpUNVNmetXA0P71jByck3AMaqBvHzUyFRHpbsVIRFYTEpHWBheL23GsbOf6YkOBN3JniAY8G9yBdXa7QQ11fPnYaWmHISIiUlaKMY5IfM+X8a3ME7+2oK2VufurwLo21jmG0GOmXesUERGR0lSMROTh6PHgfC+a2Wgg7sP4QDvX+Uhr6wQOiR6XRImLiIiIlKFiJCK/jx5nRzeqy3Vq9HiPuy9u5zqvjx4/ZmZ9Wlnnle1cn4iIiJSgLici7r4QuJZQVXKDmcUDnGFmJwFfjiYvzF3WzCaZ2TQzG5Xz0jWEwcwmAtea2cBo/j5m9kPgMEL1zaVdjV9ERETSU4zGqhBuRLdP9DffzJ4hNGAdF71+jrvfnme5O6J5rqL5/jK4+xYzOwH4B/AB4Bgzm09ITHYFtgHvc/c1O61RREREykYxqmaIEoKDgQsIjUenE3q83AN8wN0v6sQ6HwVmAr8i9JyZSbjD7x+BA939rmLELiIiIukpVokI7r4ROD/6a+8y49t4fQnwia7EJSIiIqWraIlImRqzdOlS5syZk3YcIiIibVq6dCmEISwqRrUnIpu2bdvGokWLdPdeEREpB2MokRHFi6UmU4zbjIqIiIh0QlEaq4qIiIh0hhIRERERSY0SEREREUmNEhERERFJjRIRERERSY0SEREREUmNEhERERFJjRIRERERSY0SEREREUmNEhERERFJjRIRERERSY0SEREREUmNEhERERFJTe+0A5DKZGb9gC8BxwMTgPXAY8D33f3WTq5zLPA14FhgOLAKuAO42N3nFVhmNnBXG6u+0d3/vTMxVYru2F553uO6aP1T3H1RK/N1eDtXo1LZZmY2HnipjVU95e77FiMmqTwqEZGiM7P+wJ3AecBE4DlgI3A0cIuZndeJdRrwOPBxYADwFNAAnAw8bmbHFFh0ZvT4GnB/gb/nOxpPJemO7ZXnPU4lnNDamq+z27mqlNI2o/k39jqFf2NPdDUeqVwqEZHucBlwIPAkcJy7LwMws5OBy4Hzzex+d7+9PSszs97ATcBQ4Grg0+6+2cz6AP8HnAb81swmu/uanMXjg+QP3P2Srn6wClXU7ZXLzD4HfLcd83VlO1ebkthmkfg3dr27f6Yz7yfVTSUiUlRmNgk4CWgCTowPkADufjXwrWjy/A6s9iRgMrAU+IS7b47Wtw04HbgX2AU4I8+y8UHymQ68X9Xopu0Vr3uUmf0B+B5Q045FurKdq0aJbTPQb0y6SImIFNvJQC3woLvnq/L4afR4aNQWoD3mRo9XRyelLHfPAD+LJk9IvhZdYe8VTT7bzveqNt2xvTCz9wELgQ8Aa4HPtmOxudFjh7ZzFSqlbQbNiYh+Y9IpSkSk2A6OHu/L96K7vwIsiSYPb2tlZtYLOKC1dRLqoAEmmtmY5OJAPbDO3Ze29V5VqqjbK2Em0A/4DbAncEtrM3dxO1ebkthmAGY2gNBGBVQiIp2kNiJSbJOjxxdamWcxMA6Y2o717QH0bWOdy4BGwlXi1Ggamq/UnjOz/QnF2XtH8z4HXOXu1X7wLPb2iv0TmBl/v1HPitZ0ZTtXm1LZZgAzCFU4rwK7mdmZwH6Ec8sC4Dp3v7+V5UWUiEjRDY8eV7UyT9zQcFgH1ldwne7eaGbrgF1z1hknIjMI3RqTjgXOMLOL3f3cdsRRqYq9vQBw9zs7GUfBWFrZztWmVLYZNP/GhhB6n9UmXjsK+KyZXQ6c6u7bO7F+qQKqmpFi6xc9bmllns0587ZnfZ1ZZ3yQbAC+SShCrgemAN8nXMmdY2ZfakcclarY26urcZRCLKWuVLYZtPyN/YLQJqueUBpzLrAdOAX4QTfHIWVMJSJSbI20P8HNtHN9HZFc502EIuOb3f2PiecXEUpDVgMXAueZ2eXuvrqD71UJir29uhJHR3RnLKWuVLYZhJ5MvYAn3P0nieeXAt80s8XANcCpZnaZuz/XzfFIGVIiIsW2gVBM29DKPHFbgE3tXF+sgcJXgTut091/1Ma6/xc4izBw1tHAte2Ip9IUe3t1JY5Yh7ZzFSqVbYa7/4bQuLXg69HgalOA9xLaZom0oKoZKba4VGFoK/PE9dYrO7C+guuMuukO7sA6AXD3rTSPqjqhvctVmGJvr67GUTCWzm7nClQq26y94lFVq/U3Jm1QIiLFFt8LZHwr88SvLWhrZe7+KrCujXWOobmRXIt1mllrV43Q/Buo1oZ0Rd1endXV7VxlSmKbxcyszsxqW5ml2n9j0gYlIlJsD0ePB+d70cxGA/EgSw+0c52PtLZO4JDocUl0QsPMZkQ9LDZHXXfzxdJAGC8Bqvd+M92xvTqrw9u5SpXENjOzIWb2OrCNUO1SyH7RY7X+xqQNSkSk2H4fPc6ObmCW69To8R53X9zOdV4fPX4suu9IoXVemXjOCUNgQ/OInblOI/QqWE24u2s16o7t1Vmd2c7VqCS2mbuvBZZHk3PzzWNmHwQmEZKVG7orFilvSkSkqNx9IaHRZy1wg5nFgy9hZicBX44mL8xd1swmmdk0MxuV89I1hMGbJgLXmtnAaP4+ZvZD4DBCsf6liTi20nzTrtPM7PRo9E7MrJeZ/RdwcfT6WfF9TapNN22vzurwdq5GJbbN4t/Qe8zsYjOrT7zXB4EroslvV3kplrSiJpOp5l5w0h3MbChwF7APoavhM4RW/uOiWc5x94vyLLc4mucqd5+b89pbgX8QGituAOYTTli7Eq62jnX3u3KWqSWc3OJbmb8OvEioPx9G6Np4gbtf0IWPW/a6Y3vlmXc88FI0OcXdFxWYr8PbuRqV2Db7DnBmNLmecL+aEYTRcgF+SbiTclOexUVUIiLFF92i/WDgAkJjuemEFv73AB/Id4BsxzofJQye9Cvgjej/JuCPwIH5Tk7u3ujuJwD/Afw9enomodHc9cBh1Z6EQPdsry7E0uHtXI1KbJt9kTCK6o2EgdRmAHWEcXze7e6fVBIirVGJiIiIiKRGJSIiIiKSGiUiIiIikholIiIiIpIaJSIiIiKSGiUiIiIikholIiIiIpIaJSIiIiKSGiUiIiIikholIiIiIpIaJSIiIiKSGiUiIiIikholIiIiIpIaJSIiIiKSGiUiIiIikholIiIiIpIaJSIiIiKSGiUiIiIikholIiIiIpIaJSIiIiKSmv8Hol58AtqMgeoAAAAASUVORK5CYII=
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Store-data">Store data<a class="anchor-link" href="#Store-data">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[135]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">savez</span><span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s1">&#39;data&#39;</span> <span class="o">/</span> <span class="s1">&#39;powers.npz&#39;</span><span class="p">,</span> <span class="n">powers</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Create-nice-table">Create nice table<a class="anchor-link" href="#Create-nice-table">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[14]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">scipy.interpolate</span> <span class="k">import</span> <span class="n">interp1d</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[143]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">effect_size_power_80p</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="k">for</span> <span class="n">vs</span><span class="p">,</span> <span class="n">vals</span> <span class="ow">in</span> <span class="n">powers</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">val</span> <span class="ow">in</span> <span class="n">vals</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">interp1d</span><span class="p">(</span><span class="n">val</span><span class="p">[</span><span class="s1">&#39;p&#39;</span><span class="p">],</span> <span class="n">val</span><span class="p">[</span><span class="s1">&#39;e&#39;</span><span class="p">])(</span><span class="mf">0.8</span><span class="p">)</span>
<span class="n">effect_size_power_80p</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s1">&#39;_&#39;</span><span class="p">,</span> <span class="s1">&#39; &#39;</span><span class="p">)</span><span class="o">.</span><span class="n">capitalize</span><span class="p">(),</span> <span class="s1">&#39; - &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">vs</span><span class="p">)]</span> <span class="o">=</span> <span class="n">e</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[144]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">effect_size_power_80p</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[144]:</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>Baseline I - 11 Hz</th>
<th>Baseline I - Baseline II</th>
<th>Baseline II - 30 Hz</th>
</tr>
</thead>
<tbody>
<tr>
<th>Average rate</th>
<td>2.669697</td>
<td>2.775000</td>
<td>2.814286</td>
</tr>
<tr>
<th>Gridness</th>
<td>0.144211</td>
<td>0.136500</td>
<td>0.154615</td>
</tr>
<tr>
<th>Information specificity</th>
<td>0.105789</td>
<td>0.091765</td>
<td>0.087297</td>
</tr>
<tr>
<th>Max rate</th>
<td>6.108696</td>
<td>6.951613</td>
<td>7.593750</td>
</tr>
<tr>
<th>Information rate</th>
<td>0.231034</td>
<td>0.253158</td>
<td>0.285000</td>
</tr>
<tr>
<th>In field mean rate</th>
<td>3.410345</td>
<td>3.646667</td>
<td>3.468000</td>
</tr>
<tr>
<th>Out field mean rate</th>
<td>2.285000</td>
<td>2.340000</td>
<td>2.404762</td>
</tr>
<tr>
<th>Speed score</th>
<td>0.365714</td>
<td>0.029091</td>
<td>0.036545</td>
</tr>
<tr>
<th>Spacing</th>
<td>0.029259</td>
<td>0.018495</td>
<td>0.018404</td>
</tr>
<tr>
<th>Field area</th>
<td>0.260000</td>
<td>0.358824</td>
<td>0.378481</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;[147]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">effect_size_power_80p</span><span class="o">.</span><span class="n">to_latex</span><span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s2">&quot;statistics&quot;</span> <span class="o">/</span> <span class="s2">&quot;effect_size_power_80p.tex&quot;</span><span class="p">)</span>
<span class="n">effect_size_power_80p</span><span class="o">.</span><span class="n">to_csv</span><span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s2">&quot;statistics&quot;</span> <span class="o">/</span> <span class="s2">&quot;effect_size_power_80p.csv&quot;</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Estimate-required-sample-size-to-detect-effect-size-of-0.1">Estimate required sample size to detect effect size of 0.1<a class="anchor-link" href="#Estimate-required-sample-size-to-detect-effect-size-of-0.1">&#182;</a></h1>
</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="n">effect_sizes</span> <span class="o">=</span> <span class="p">{</span>
<span class="s1">&#39;gridness&#39;</span><span class="p">:</span> <span class="o">.</span><span class="mi">1</span><span class="p">,</span>
<span class="s1">&#39;average_rate&#39;</span><span class="p">:</span> <span class="mi">1</span><span class="p">,</span>
<span class="s1">&#39;information_specificity&#39;</span><span class="p">:</span> <span class="mf">0.1</span><span class="p">,</span>
<span class="s1">&#39;max_rate&#39;</span><span class="p">:</span> <span class="mi">5</span><span class="p">,</span>
<span class="s1">&#39;information_rate&#39;</span><span class="p">:</span> <span class="mf">0.2</span><span class="p">,</span>
<span class="s1">&#39;in_field_mean_rate&#39;</span><span class="p">:</span> <span class="mi">3</span><span class="p">,</span>
<span class="s1">&#39;out_field_mean_rate&#39;</span><span class="p">:</span> <span class="mi">2</span><span class="p">,</span>
<span class="s1">&#39;speed_score&#39;</span><span class="p">:</span> <span class="mf">0.1</span><span class="p">,</span>
<span class="s1">&#39;spacing&#39;</span><span class="p">:</span> <span class="mf">0.05</span><span class="p">,</span>
<span class="s1">&#39;field_area&#39;</span><span class="p">:</span> <span class="mf">0.05</span>
<span class="p">}</span>
<span class="n">n_samples_ranges</span> <span class="o">=</span> <span class="p">{</span>
<span class="s1">&#39;gridness&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">300</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span>
<span class="s1">&#39;average_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">300</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span>
<span class="s1">&#39;information_specificity&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">120</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span>
<span class="s1">&#39;max_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">120</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span>
<span class="s1">&#39;information_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">120</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span>
<span class="s1">&#39;in_field_mean_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">120</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span>
<span class="s1">&#39;out_field_mean_rate&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">120</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span>
<span class="s1">&#39;speed_score&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">5</span><span class="p">,</span> <span class="mi">60</span><span class="p">,</span> <span class="mi">5</span><span class="p">),</span>
<span class="s1">&#39;spacing&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">5</span><span class="p">,</span> <span class="mi">60</span><span class="p">,</span> <span class="mi">5</span><span class="p">),</span>
<span class="s1">&#39;field_area&#39;</span><span class="p">:</span> <span class="p">(</span><span class="mi">5</span><span class="p">,</span> <span class="mi">60</span><span class="p">,</span> <span class="mi">5</span><span class="p">)</span>
<span class="p">}</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[11]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">powers_sample_size</span> <span class="o">=</span> <span class="p">{}</span>
<span class="k">for</span> <span class="n">vs</span> <span class="ow">in</span> <span class="n">vss</span><span class="p">:</span>
<span class="n">powers_sample_size</span><span class="p">[</span><span class="n">vs</span><span class="p">]</span> <span class="o">=</span> <span class="p">{}</span>
<span class="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">df</span> <span class="ow">in</span> <span class="n">tqdm</span><span class="p">(</span><span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">items</span><span class="p">(),</span> <span class="n">desc</span><span class="o">=</span><span class="s1">&#39; - &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">vs</span><span class="p">)):</span>
<span class="n">power</span><span class="p">,</span> <span class="n">sample_size</span><span class="p">,</span> <span class="n">effective_sample_size</span> <span class="o">=</span> <span class="n">estimate_sample_size_lmm</span><span class="p">(</span>
<span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">][</span><span class="n">key</span><span class="p">],</span> <span class="o">*</span><span class="n">vs</span><span class="p">,</span> <span class="n">effect_size</span><span class="o">=</span><span class="n">effect_sizes</span><span class="p">[</span><span class="n">key</span><span class="p">],</span> <span class="n">n_samples_range</span><span class="o">=</span><span class="n">n_samples_ranges</span><span class="p">[</span><span class="n">key</span><span class="p">],</span> <span class="n">key</span><span class="o">=</span><span class="n">key</span><span class="p">)</span>
<span class="n">powers_sample_size</span><span class="p">[</span><span class="n">vs</span><span class="p">][</span><span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="p">{</span><span class="s1">&#39;p&#39;</span><span class="p">:</span> <span class="n">power</span><span class="p">,</span> <span class="s1">&#39;s&#39;</span><span class="p">:</span> <span class="n">sample_size</span><span class="p">,</span> <span class="s1">&#39;es&#39;</span><span class="p">:</span> <span class="n">effective_sample_size</span><span class="p">}</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt"></div>
<div id="21adbd38-3415-48b6-8e9c-bf4ae808be6d"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#21adbd38-3415-48b6-8e9c-bf4ae808be6d');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "d87e33f19a164ed980120478a4cd17a6", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="eb4a7f72-c391-4f4f-80e8-5365101c3c00"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#eb4a7f72-c391-4f4f-80e8-5365101c3c00');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "bfece32d69f844048b3deb98d59150b5", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="ef7d9129-3194-4390-be7e-7d14485ff874"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#ef7d9129-3194-4390-be7e-7d14485ff874');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "80ce68390eb2409daff87ecaead40369", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="66bf2b54-a3d1-4ecd-aa96-1936c41e1739"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#66bf2b54-a3d1-4ecd-aa96-1936c41e1739');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "a223dadef9ab4c488bafd0a9870fbc35", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="e4634a59-87df-4689-b893-3948877ad0b7"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#e4634a59-87df-4689-b893-3948877ad0b7');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "6e6d5efd72f14e5095aeaef18688dd0d", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="d21eb323-6265-4bad-8755-b5a7c782a4bc"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#d21eb323-6265-4bad-8755-b5a7c782a4bc');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "4a1ae2dd8ea5410090cac255b1b8b9a0", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="5eb96660-68a1-445a-a055-95930a4ea0d4"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#5eb96660-68a1-445a-a055-95930a4ea0d4');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "5a147d8e230f440498b42ef82703c40c", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="932de488-48f1-49b5-8ca9-422717118220"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#932de488-48f1-49b5-8ca9-422717118220');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "ea63a719b4ee4ac6ac1eba01f81a50a4", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="7678a004-8f31-4544-82e3-e43f7e171145"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#7678a004-8f31-4544-82e3-e43f7e171145');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "c06766d5a1464f8596272fa3adccec5a", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="0c0f0727-1ab0-4045-9d98-daa073615550"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#0c0f0727-1ab0-4045-9d98-daa073615550');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "88b60c1a337d4eaeae3dbc404e2413d9", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="7468d8a2-505e-4c7b-9267-e6b398d4b254"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#7468d8a2-505e-4c7b-9267-e6b398d4b254');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "2b4f755a70234ff891b06bb3ada5bab7", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="87018686-231d-4384-aaf8-2d8a2a3ccf11"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#87018686-231d-4384-aaf8-2d8a2a3ccf11');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "00112e17e415461198f68203a2100f03", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="9b01aa67-f1ba-47d0-83f3-42c2331cf959"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#9b01aa67-f1ba-47d0-83f3-42c2331cf959');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "425cf62261d04278a4af606a570fb558", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="54958d6b-843d-40de-9107-b2e6d2502972"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#54958d6b-843d-40de-9107-b2e6d2502972');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "a1c6fd31d929426c87859b76a84e2e7e", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="72ee271b-2760-4998-9d6c-b6b7c4bf4ca5"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#72ee271b-2760-4998-9d6c-b6b7c4bf4ca5');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "d587bd258ec94fc3bf195a9cd525500e", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="c3578854-749e-4861-9130-71c0912164a6"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#c3578854-749e-4861-9130-71c0912164a6');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "f86f9ba4391c4219983b99a68b087801", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="0ad305c3-44d9-40db-9bc3-b86a0e512f38"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#0ad305c3-44d9-40db-9bc3-b86a0e512f38');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "53e9a63b43284b808a0a27bd65e17f36", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="7ad0b977-1531-4d2a-b7ac-b8e163587435"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#7ad0b977-1531-4d2a-b7ac-b8e163587435');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "848e12e4bac544db98f9166ac2d47889", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="f3f4d10a-7af4-41a3-849c-29d508d86881"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#f3f4d10a-7af4-41a3-849c-29d508d86881');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "20b67b01c8fc42068b0b77c6886a10cc", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="cd000db5-4cbb-4150-a37a-13e9f2df7fdd"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#cd000db5-4cbb-4150-a37a-13e9f2df7fdd');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "f8a9ee996f97475bb6ad6b11e7bc53b3", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="eaf6b26e-266f-4c85-aa7e-c6f06273722a"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#eaf6b26e-266f-4c85-aa7e-c6f06273722a');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "34163a83d8e44a15ae7cbcd8550f9637", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="7d09a692-b78d-4d4c-9fa6-8f53b0699bf5"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#7d09a692-b78d-4d4c-9fa6-8f53b0699bf5');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "29bc6384d76045128c4df4c04d989a8b", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="ce9f839f-e61b-44e3-949f-f7bbb8243cc6"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#ce9f839f-e61b-44e3-949f-f7bbb8243cc6');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "067e11ef388d47bbb7f60b782604bdd0", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="8c550234-0bf1-4ce3-b259-5c2dc02fbd01"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#8c550234-0bf1-4ce3-b259-5c2dc02fbd01');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "be4973ca16f0464d92a75b3a90a152bf", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="da93e704-fe6f-4799-9bd6-fd4e86dde47e"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#da93e704-fe6f-4799-9bd6-fd4e86dde47e');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "23e7b29c2ed246b18ec7df891f424ca2", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="33a38bab-34b0-4f12-9d92-71d617de872b"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#33a38bab-34b0-4f12-9d92-71d617de872b');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "5284fa3c09944118ac9ffabeef44eee7", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="31792647-b2bb-4d10-af85-6757ef8e36f4"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#31792647-b2bb-4d10-af85-6757ef8e36f4');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "8828346b709244ef88066ada11d8d9b5", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="1265973d-41ce-4699-bf2c-bc85c8b8063e"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#1265973d-41ce-4699-bf2c-bc85c8b8063e');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "cc0849842ae24d62994ec3e0bd6e2908", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="f4210a49-d2d2-4bb3-a7e4-3ece934d5eb3"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#f4210a49-d2d2-4bb3-a7e4-3ece934d5eb3');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "8ebed041e04a405d8f2dbaf65394b1d4", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="5d582629-256f-4abb-a6fe-7774ab6f72d9"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#5d582629-256f-4abb-a6fe-7774ab6f72d9');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "4f0e7417db9947eba4474d26d766c744", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="f97780aa-05c7-434b-9c79-64eff0311f70"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#f97780aa-05c7-434b-9c79-64eff0311f70');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "44bac1e7ac23492586fad88bf4ed2b69", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="81020ca7-5fe0-4495-9c42-07bc9a841039"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#81020ca7-5fe0-4495-9c42-07bc9a841039');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "668978430f3f4c02b180a69535b60628", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div id="42a4c363-5b56-4f9d-98b5-ea9f868f698e"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#42a4c363-5b56-4f9d-98b5-ea9f868f698e');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "bfa5f9383bdb49018ac05dfd2c170ae3", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[12]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">vs</span><span class="p">,</span> <span class="n">vals</span> <span class="ow">in</span> <span class="n">powers_sample_size</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">val</span> <span class="ow">in</span> <span class="n">vals</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</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">val</span><span class="p">[</span><span class="s1">&#39;es&#39;</span><span class="p">],</span> <span class="n">val</span><span class="p">[</span><span class="s1">&#39;p&#39;</span><span class="p">])</span>
<span class="k">try</span><span class="p">:</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">interp1d</span><span class="p">(</span><span class="n">val</span><span class="p">[</span><span class="s1">&#39;p&#39;</span><span class="p">],</span> <span class="n">val</span><span class="p">[</span><span class="s1">&#39;es&#39;</span><span class="p">])(</span><span class="mf">0.8</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axvline</span><span class="p">(</span><span class="n">e</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="n">f</span><span class="s1">&#39;N=</span><span class="si">{e:.0f}</span><span class="s1">&#39;</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;k&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axhline</span><span class="p">(</span><span class="mf">0.8</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;k&#39;</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.1</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="k">except</span><span class="p">:</span>
<span class="k">pass</span>
<span class="n">n1</span><span class="p">,</span> <span class="n">n2</span> <span class="o">=</span> <span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">][</span><span class="n">key</span><span class="p">][</span><span class="nb">list</span><span class="p">(</span><span class="n">vs</span><span class="p">)]</span><span class="o">.</span><span class="n">count</span><span class="p">()</span><span class="o">.</span><span class="n">values</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="n">f</span><span class="s2">&quot;</span><span class="si">{vs[0]}</span><span class="s2"> (</span><span class="si">{n1}</span><span class="s2">), </span><span class="si">{vs[1]}</span><span class="s2"> (</span><span class="si">{n2}</span><span class="s2">), {key.replace(&#39;_&#39;, &#39; &#39;).capitalize()} (</span><span class="si">{effect_sizes[key]}</span><span class="s2">)&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;Power p(~H0|H1)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;N neurons&#39;</span><span class="p">)</span>
<span class="n">savefig</span><span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s1">&#39;figures&#39;</span> <span class="o">/</span> <span class="n">f</span><span class="s2">&quot;sample_size_{&#39;-&#39;.join(vs)}_</span><span class="si">{key}</span><span class="s2">&quot;</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYoAAAESCAYAAADjS5I+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAcPElEQVR4nO3df7ylY73/8dceg1GNKeKQSEf5REWY4+dgFEdRYSpHvvrhR4OU0EkKSb/ElxwUSkSY5DCcKFIn1TR+TCbyo+PTd1Ty/YYOfZkpzTBjnz+uazfLbu971p6Zvfba5vV8POYxa93XWvf9uee+Z73XdV1r3aunt7cXSZIGM2akC5AkdTeDQpLUyKCQJDUyKCRJjQwKSVIjg0KS1GjsSBegwUXEhsADwD110UrAU8AxmTlzGLb3O+Cd9e5xmfnOwR89pPV+GnhpZn5okPYvAjdn5vcj4vXAOcAEYBFwaGbOjohV6vId69NuAI7NzEURcQZwXWb+eAg1HQTsk5lv67d8VeB64KuZedUAz9sQuDczXzSUfWyo41Lg1My8NyKuBjYH/lybb87Mo+vjPggcAqwGzAYOzswFS7nvVwM7Axtk5lNDqXe0iIibgP0z87EhPm894Dxgr8zsrcs2B27MzHXr/ZWA/wAOysw/Lt/Ku5M9iu7318x8Q/3zeuAM4OLh3GBm3rG8QmJJImJbYNMaEi8AbgJOy8wtgM8Cl9eHfghYC3gdsBmwPbBvbfsMcE5ErNbG9taIiPMpodPTr2074DZg0jLvWBsiYl/gycy8ty7aDtip5Xj3hcQU4MPArsBrKWFxdH1O2/te1/UyYCfKfr53ue1M99ltKZ93AfCZzOyNiLERcTTlnBzf94DMXAScBpy77GWODvYoRp81gYcBImIMcCawLeVE7gEOycyZETEJ+BKlF9ILnJKZV9d35qdS3lGuBNwJHJmZc/s2EBGTgS9n5usi4mJgLvB6YH3gfmC/zPxzRGwCnFVrWgk4OzMvGuL+fBr4cr39z8ADmfm9ev87wG8BMvNLEXFOZj4bEWsBLwb+VNuejIiZwNRaT5N9Kf9+/wrs2a/tSOAE4GND3Ie/qe82Z7csWgNYG1gzM//S7+EnA++qz3sl5RieX3sts4GPZuafKC/oZ9TbRMRhwCow5H2nPu4/gauAz0bEV+uL4lTg7Zn51rqN19THbQBszADHuZ4nZwF/AV4IbE15AR3ofFwL+AawEfA48AilZ/bpds+j2uO9nfJG4ZPAM/XvVeq/8SWZeWJEfKM+5eaI2AN4lnKObQCsDFyRmV8YYP3bAmtn5h110ZZ1W++k9GD/JjN/GhHnR8TmmfnLJfybj3r2KLrfahFxV/3zIOU/1Cm1bRvgZcB2mbkpcAlwXG07GfhSZm4FHAS8sS4/DlgIbJWZmwN/AL64hBq2At4MbFK3966IGEt5sTmubmNn4F/rf7a2RMSLKUNJN9VFGwOPRMSFEXEH8ANa3sxk5jN1mOoB4FFgRsvqrgOmLGmbmXl+Zp4M/HWAtndn5nfbKL31mNwVEXcBh9V1LOrrEVD+zecB7+8fEhHxOmC1lt7E2sAPgUOBLSjDT30vlhsDa0fEjRFxNyVcnxjqvtdj9gHgsvqcf6AcV4BvAZMiYp16/0DKC3sPzcf5dcC767m0JYOfj2cD92XmJpRw3L6lpqGcR/fWdVwLfBR4X2ZOpITTJyLipZl5YH3sLpn5EHApcFFd/9bArrU31987KcOOAGTmrLquhwap5bu08e/+fGBQdL/WoadXAJOBKyLilZl5K+Ud8KERcTrlRO8bO78S+EpEXE55of9kXf5WYC/gzvoCtzew6RJquDEzF2TmM5T5kjUoL14bARfV9fyEMiSyxRD27VXAw5n5dL2/MrAH8LX6n/8c4Ht13gCAzDwOeAnwO8pYcp8HgBjCtpdF6zHpC4XzWx9Qh4KuAy7NzCsGWMdrgDl9dzLz9szcJzMfrkMbnwb2rD3AlSlDKfsCEyn//p9vWVe7+74X5R37jZm5ALiCOoSVmfMoL9gH1F7RAcCFLPk4P5SZD9Z1NJ2PewBfq497uG6LNtbf34y6jl7gbcBWEXESpffcQ+nZ/E1EvJASPp+t67+N0rN4wwDrfs4xaUMnz7kRZVCMMpl5C5DA1hGxJ+VdDZTJtfOp4+6Z+VXKcNEPgN2BuyNiAuWF4iMtL3Bbs3gCezCt77576zZWAp7o92K5LeVdaLuerevp8wfg/sy8ve7Df9T2f4yIHSJi47r8Gco8zZYtz12JMvk94uoL7bco734H6609Z98jYseIeHtLe099zCLKv8s1mTm3hupllPmMPu3u++GUF+E5dRhnb2C3iHhtbf86ZZjrzcCvMvO3LPk4902803Q+UnqxrXNCffUO9Tz6c93WCynDplsCv6AMFz7Tbxt96+8Btu+3/r8beuLvz8cl6ZpzbrgZFKNMfbHcmPKfZDfKJ17OA35O+Y+/Un3cLcAWmXkxZVz6xZR34t8HPhQRq9Q5jgtYPJQ1FAnMj4gD6vbWB+6l9F7a9RvKkMq4ev8GYMOI2KqucydKMP2WMoxzZp1gHAP8L+BHLev6R8r8STf4CqUXcETDY35NqbnPiyiT0mvU+x8Drqq9i6sow32rRUQP5Tj/vOW5S9z3et5MBrbMzA3rn5dR3qEfBZCZt1FeVD9FOS9gaMd50POREiAH13WsCexDObZLex69GlgdOCEzr6P0GlZt2d4iYOU693YbcExd/4uBmZTeVX/9j8mSdNM5N6wMiu73nPFwyovG1Mz8NeUd28513PpWSlf4lfWF9FjgMxFxJ3AzcHJm/o7ySaLfUYLmV5QXho8Otaj6znYv4JC6/ZuAE3MIH9vNzCcoL1S71PuPUF5czo2IeykT9VMycz5lAv5B4Jf1z0LgEy2rezPw71AmeyPi60Pdp+WhfnLqUODlwM9bjt3E1sfVuYm/1olcMvMGyjj+zIhIynBM30dtz6XMX8ymvDC9iMVDidDevh9O6ZU80G/5yZThppfW+xdQXgCvrXUN5Tg3nY9HA6+JiHuAqynH8qllOI/upswn3B8RvwDeTjmfX1XbpwM/q3NB+wPb1m3fDnwrMy8fYJ1XsXjOph27s3gI7Xmtx8uMayRFxPbA8ZnZ/xNIQ1nHBMq7xImZOT8ixgNfz8x/WV51DoeI2B+YlJkfXIZ1jIp9j/I9kDsz89Y65zQDOKkGZNeI8v2L4zPz50t43GTgiMx8V0cKG2H2KDSi+uZcImIo7+T6Owk4qvY8oExUnrTMxQ2zzJwGrBnlS4ZLa7Ts+68oQ2t3UuYUvtdtIVFNBU6qQ3wDqnNQx1I+Tr1CsEchSWpkj0KS1MigkCQ1et5dwmObbbbpXW+99Ua6DEkaVe67777HMnOtgdqed0Gx3nrrMX369JEuQ5JGlXqJoAE59CRJamRQSJIaGRSSpEYGhSSpkUEhSWpkUEiSGhkUkqRGBoUkqZFBIUlqZFBIkhoZFJKkRgaFJKmRQSFJamRQSJIaGRSSpEYGhSSpkUEhSWpkUEiSGhkUkqRGBoUkqZFBIUlqZFBIkhoZFJKkRgaFJKmRQSFJajS2UxuKiDHAucDmwALgkMyc09L+AeBQYCHwucy8vqVtZ+CyzFy/U/VKkopO9ij2BsZl5nbAccAZfQ0RsQ5wJLADsDtwSkSsWtvWB44BVu5grZKkqpNBMQm4ESAzbwMmtrRtDczMzAWZ+SQwB9gsIsYB5wMf7GCdkqQWnQyK1YEnW+4vioixg7TNAyYAXwZOz8z/15kSJUn9dTIo5gLjW7edmQsHaRsPPA3sCJwUET8G1oiIKzpRqCRpsY5NZgMzgbcBV0bEtsA9LW2zgM/XoaZVgU2AWZkZfQ+IiEcyc78O1itJorNBcQ2wW0TcAvQAB0bEMcCczPxORJwNzKD0co7PzPkdrE2SNIiOBUVmPgsc1m/x/S3tFwAXNDx/nWEqTZLUwC/cSZIaGRSSpEYGhSSpkUEhSWpkUEiSGhkUkqRGBoUkqZFBIUlqZFBIkhoZFJKkRgaFJKmRQSFJamRQSJIaGRSSpEYGhSSpkUEhSWpkUEiSGhkUkqRGBoUkqZFBIUlqZFBIkhoZFJKkRgaFJKmRQSFJamRQSJIaGRSSpEYGhSSpkUEhSWpkUEiSGhkUkqRGBoUkqZFBIUlqNLZTG4qIMcC5wObAAuCQzJzT0v4B4FBgIfC5zLw+IjYALqp19gBTMzM7VbMkqbM9ir2BcZm5HXAccEZfQ0SsAxwJ7ADsDpwSEasCnwW+nJmTgS8Ap3SwXkkSnQ2KScCNAJl5GzCxpW1rYGZmLsjMJ4E5wGbAR4Hv1seMBeZ3rlxJEnRw6AlYHXiy5f6iiBibmQsHaJsHTMjMxwAiIoDTKb0SSVIHdbJHMRcY37rtGhIDtY0HngCIiF2Aa4H3OD8hSZ3X2KOIiB5gT2AysCbwR+A/gR9kZu8QtzUTeBtwZURsC9zT0jYL+HxEjANWBTYB7q0hcRbw5sx8cIjbkyQtB4P2KCLijcAPgZ2Bu4FpwGzKZPMPI2LXIW7rGmB+RNwCnAkcHRHHRMTbM/MR4GxgBvAj4PjMnA/8G7AKcElE/DgivjrEbUqSllFTj+LVwD9n5qJ+y6+MiJWAqZQgaUtmPgsc1m/x/S3tFwAX9HvO5u2uX5I0PAYNiswc9N17DY/zhqUiSVJX8ZvZkqRGg/YoIuJmysRyqx6gNzO3H9aqJEldo2mO4jjKnME+lMtqSJJWQE1zFLdHxKXAZpl5TQdrkiR1kcbvUWTm/+5UIZKk7tQ0R7HTYG2Z+dPhKUeS1G2aehSHt9zehfJFuB6gFzAoJGkF0TRH8e6+2xFxc2bu35mSJEndpN3vUQz1uk6SpOcJv3AnSWrUNJl9Cot7EhtFxBf62jLzk8NdmCSpOzRNZt/fcvtTw12IJKk7NU1mX9LJQiRJ3WlJ13rqpXwktk/fUFTfNZ/eOIy1SZK6QFOPYpdOFiJJ6k5NPYo1gROBNwETKL9hPQM4OTP/2JnyJEkjrenjsZcAtwI7AK8AJlGCYloH6pIkdYmmTz2tnpnfbrk/F7giIo4Y5pokSV2kKSj+GBGfAm4EngTGA3sCD3eiMElSd2gKigMoFwb8OLA6pUcxE3hfB+qSJHWJpqBYG7i6/mm1FvD7YatIktRVmoLi2yz+HsUmwK9YfJlxfzNbklYQTd+j2K7vdr3MuN+rkKQVkJcZlyQ18jLjkqRGTd/Mnlpv9gDrtdwnM7823IVJkrpD02T2ui23p7XcdxhKklYgTZPZJwNExK7APZn5aMeqkiR1jXbnKPxtCklaQbUTFKvUP5KkFVDTHEWfw4Dl8hvZETEGOBfYHFgAHJKZc1raPwAcCiwEPpeZ10fESylzJKsBfwAOzMynlkc9kqQla6dHsTowazltb29gXP0y33HAGX0NEbEOcCTlsua7A6dExKqU3+uelpk7AndSgkSS1CHt9ChOBd4CfHc5bG8S5Wq0ZOZtETGxpW1rYGZmLgAWRMQcYLP6nC/Ux9xQb5+5HGr5O1fP/r9cecdDw7FqSRp2+05cn3ds9fLlvt5BexQRsTdAZt6QmX8XEhGxz1Jsb3XKJcv7LIqIsYO0zaP8sl7r8r5lkqQOaepRvCAibgBuAu4GHgVeDGxLGRr65lJsby7ldy36jMnMhYO0jaf8/Grf8r+2LBsW79jq5cOSxpI0mg3ao8jMacA7gD8DB1HmEw4F/j+wT2ZeuhTbmwnsARAR2wL3tLTNAnaMiHERMYFyxdp7W59DGQKbsRTblSQtpcY5ivrpogsi4lpgI+DXmfmnZdjeNcBuEXEL5dIgB0bEMcCczPxORJxNCYIxwPGZOT8iPgdcUj8R9Riw/zJsX5I0RD29vc1X5IiIw4GjgfuATYHPZuZlHahtqUyZMqV3+vTpI12GJI0qETE7MycO1NbOx2OnAptl5j7AFsBHlmdxkqTu1k5QPEr5AhyUCeXHh68cSVK3aed7FGOAu+q8whbAyhExDSAznS+QpOe5doLi8y23Lx+uQiRJ3WmJQZGZP+lEIZKk7uRPoUqSGi0xKCJil04UIknqTu30KE4e9iokSV2rncns3oi4BkjgWYDMXC6/TyFJ6n7tBMVFw16FJKlrtTP0dDmwMuVaTw+yfH6XQpI0SrQTFOcDGwC7US7zvTSXF5ckjVLtBMVGmfkpYH5mXoc/HCRJK5R2gmJsRLyUMqk9njqhLUlaMbQzmX085ceD1gVuw6vHStIKpZ0exdOZGZTJ7Ndl5g+HuSZJUhdpJygOiog7gE8BkyPCy35I0gqknYsCTgWIiB2B0yg9i7WHuS5JUpdYYlBExFHAm4C1KHMVJw13UZKk7tHOZPbuwEuAq4HvZ+bdw1uSJKmbLHG+ITPfAkwG7gXOioiHh7soSVL3aGfoaQqwB7AlcAdw6nAXJUnqHu0MPU0CLs7MQ4a7GElS92nno65nAh+JiPsi4pqI2HCYa5IkdZF2guJrwKXADsAlwIXDWpEkqau0M/Q0LjO/U29fGxFHD2dBkqTu0u5FAV8P0Pe3JGnF0U6P4kjgoohYF/gD8IHhLUmS1E0agyIiVgcyM/+pQ/VIkrrMoENPEfEh4JfALyNi986VJEnqJk1zFPsDAWwHHNWZciRJ3aYpKOZn5tOZ+RiwSqcKkiR1l3YmswF6lnVDEbEacBnlEuXzgPdl5n/3e8xJwJ7AQuCozJwVEW8AzgEWAQuA92bmo8tajySpPU09itdGxLSI+FbL7WkRMW0pt3U4cE9m7gh8EzihtTEitgR2BrYB9gO+UpvOAj6cmZOB6cDHl3L7kqSl0NSj2Lfl9vnLYVuTKD98BHADcOIA7TdlZi/w+4gYGxFrAftlZt8Va8cC85dDLZKkNg0aFJn5k6VdaUQcDPT/BvejwJP19jxgQr/21YHHW+7PAyZk5py6zu2BDwE7LW1dkqSha3eOYkgy80L6XRMqIqYD4+vd8cAT/Z42t6X9OY+JiH8Bjgf27D+vIUkaXu1cwmN5mUn5XQuAtwAzBmjfPSLGRMQGwJjMfCwiDqD0JCZn5m86V64kCYapRzGI84BLIuJnwNOU72kQEacBV9VPOM0AbqUE2BERsRJwNvB7YHpEAPwkM/3dbknqkJ7e3t6RrmG5mjJlSu/06dNHugxJGlUiYnZmThyorZNDT5KkUcigkCQ1MigkSY0MCklSI4NCktTIoJAkNTIoJEmNDApJUiODQpLUyKCQJDUyKCRJjQwKSVIjg0KS1MigkCQ1MigkSY0MCklSI4NCktTIoJAkNTIoJEmNDApJUiODQpLUyKCQJDUyKCRJjQwKSVIjg0KS1MigkCQ1MigkSY0MCklSI4NCktTIoJAkNTIoJEmNDApJUqOxndpQRKwGXAasDcwD3peZ/93vMScBewILgaMyc1ZL2/7AhzNzu07VLEnqbI/icOCezNwR+CZwQmtjRGwJ7AxsA+wHfKWlbQvgYKCnY9VKkoDOBsUk4MZ6+wZg1wHab8rM3sz8PTA2ItaKiDWBLwBHda5USVKfYRl6ioiDgaP7LX4UeLLengdM6Ne+OvB4y/15wBrAqcAxwF+Xf6WSpCUZlqDIzAuBC1uXRcR0YHy9Ox54ot/T5ra09z1mAvBq4DxgHLBpRPxbZtq7kKQO6dhkNjAT2AOYBbwFmDFA+2kRcTrwcmBMncx+LUBEbAhcYUhIUmd1MijOAy6JiJ8BTwP7A0TEacBVmTkrImYAt1LmTo7oYG2SpEH09Pb2jnQNy9WUKVN6p0+fPtJlSNKoEhGzM3PiQG1+4U6S1MigkCQ1MigkSY0MCklSI4NCktTIoJAkNTIoJEmNDApJUiODQpLUyKCQJDUyKCRJjQwKSVIjg0KS1MigkCQ1MigkSY0MCklSI4NCktTIoJAkNTIoJEmNDApJUiODQpLUyKCQJDUyKCRJjQwKSVKjsSNdwPJ23333PRYRD450HZI0yrxisIae3t7eThYiSRplHHqSJDUyKCRJjQwKSVIjg0KS1MigkCQ1MigkSY2ed9+jGEhEjAHOBTYHFgCHZOacka1q6UTEL4C59e5vga8CZwELgZsy8+SRqm0oImIb4NTMnBwRrwIuBnqBe4EjMvPZiDgJ2JOyb0dl5qwRK3gJ+u3PFsD1wP+pzedl5rdHw/5ExMrARcCGwKrA54BfMYqPzyD79BCj9xitBFwABOWYHAbMZxiP0QoRFMDewLjM3C4itgXOAPYa4ZqGLCLGAT2ZObll2V3AO4DfAN+NiC0y884RKrEtEXEs8B7gL3XRl4ATMvPHEXE+sFf90uTOwDbA+sDVwD+NRL1LMsD+bAV8KTPPaHnMloyO/TkAeDwz3xMRawB31T+j9vgw8D59htF7jN4GkJk7RMRk4PNAD8N4jFaUoadJwI0AmXkbMHFky1lqmwMviIibIuJHEbETsGpmPpCZvcD3gV1HtsS2PABMabm/FfCTevsGyj5MovSQejPz98DYiFirs2W2baD92TMifhoRF0bEeEbP/vw7cGK93UN5Jzraj89g+zQqj1FmXgtMrXdfATzBMB+jFSUoVgeebLm/KCJGY2/qKeB0YHdKd/MbdVmfecCEEahrSDLzauCZlkU9Nehg8T70P2Zdu28D7M8s4GOZuROlp3cSo2R/MvPPmTmvvnBeBZzA6D8+A+3TqD1GAJm5MCIuAc4BLmeYj9GKEhRzgfEt98dk5sKRKmYZ/Bq4rL5D+DXlJFijpX085d3FaPNsy+2+feh/zEbTvl2TmbP7bgNbMIr2JyLWB24GLs3MaTwPjs8A+zSqjxFAZr4P2JgyX7FaS9NyP0YrSlDMBPYAqHMU94xsOUvtIMr8ChHxMuAFwF8iYqOI6KH0NGaMYH1L68461grwFso+zAR2j4gxEbEBJdwfG6kCh+j7EbF1vf0mYDajZH8i4h+Am4CPZ+ZFdfGoPj6D7NNoPkbviYhP1LtPUYL8juE8RqNx+GVpXAPsFhG3UMYoDxzhepbWhcDFEfEzyqcbDqKcJJcDK1HGI28fwfqW1keBCyJiFeC/gKsyc1FEzABupbyhOWIkCxyiw4FzIuIZ4BFgambOHSX780ngJcCJEdE3rv8R4OxRfHwG2qdjgDNH6TGaDnwjIn4KrAwcRTkuw/Z/yKvHSpIarShDT5KkpWRQSJIaGRSSpEYGhSSpkUEhSWpkUEj9RMTkiHiyfkmrb9kXI+L9I1iWNGIMCmlgCyifVe8Z6UKkkbaifOFOGqofsfhLSl8e6AG1h7EH5RvyG1EuM35xRLweOJvy5c7HKV+M3AI4LDP3q899JDPXiYiLgTXrnz0p1yGaVDcxLTPPqo9ZQLlM9rrA+zPzFxHxDeBVlMs3nJWZly7PfwCpjz0KaXCHA0fX38sYzITMfCvwduC4uuwCyu8BTAa+Bxy7hO38KDO3B3YAXglsSwmL/WvoADyYmbtTLgI3tV7gbifKVWvfDCwa6s5J7TIopEFk5uOUyyNcwuD/V+6qfz8EjKu3NwHOjYgfU3oT6w3wvNYhrWx53ox60cdngNuATWtb32+MPET5bZV5tbavAd+m/CCPNCwMCqlBZl5HeSF//yAPGegaOAm8t/YojqX8ktp8yrAREfEKnnvV376rs/4Xddip/irb9iz+BbbnbCci1gW2ysx9KENWp43SS+drFPDEkpbsKMoVRtt1OPDN+sLdCxxM+c2DJyLidkog/Lb/kzLz+vqJq1uBVYAr61zEQNt4BFinXuhyEXD6KL10vkYBLwooSWrk0JMkqZFBIUlqZFBIkhoZFJKkRgaFJKmRQSFJamRQSJIa/Q/bhacvFxXmvgAAAABJRU5ErkJggg==
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAX8AAAESCAYAAAAVLtXjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3deXwU9f3H8VdOEgIJh1xyCsLHAxABuUTFtp5o69FaryoqHm2ttba1tl61d+3P2tNqVbyP1rNqFa1nLYgHqIDKh0MOuQ9JIITc+/tjJrDEJCSSySa77+fjkUd257sz85nd2c985zuz329aLBZDRERSS3qiAxARkZan5C8ikoKU/EVEUpCSv4hIClLyFxFJQUr+IiIpKDPRAbQlZjYAWALMCydlACXAFe4+I4L1LQO+Gj69yt2/Wv+rm7TcnwJ7uful9ZT/BnjF3Z83s2HAn4ECoAq42N1nm1l2OP2wcLbngCvdvcrMbgKedvdXmxDT+cDJ7n5irentgGeA29z90TrmGwDMd/cOTdnGBuK4D/itu883s8eAg4DisPgVd/9e+LpvAVOBXGA2cIG7lzV1283sC8C1QB+CfWk98DN3f70R804Fst39ljrKrgYuBl4i+NwedvcXG1jWFOCr7n5CHWXzgUub8nm2RmY2GRjr7td9jnnjvxNnAz8EYgSf2WXu/o6ZjSL4flzUrIFHRDX/ptvu7iPCv2HATcDdUa7Q3d9prsS/O2Y2Djgg3MnbAy8AN7r7wcDPgQfCl14KdAOGAsOBCcBpYdnPgD+bWW4j1tfFzG4lOJCk1SobD8wCJu7xhjWCmZ0GFLn7/HDSeODwuM+7JvGfAnwH+BJwIMEB4HvhPE3Z9i8Dfwd+4u6D3f0gggPB/WZ2fCNCngi0r6fsAuBMdz/P3ac2lPhTyCFAl6bOVOs7YcDvgGPdfQTwC+BxAHefDWSa2WcOoK2Rav57riuwBsDM0oGbgXFAR4JkNtXdZ5jZROD3BGcLMeDX7v5YWIP+LXBEWPYuQU1iS80KzGwS8Bd3H2pmdwNbgGFAX2ABcLq7F5vZ/sAfw5gygD+5+7Qmbs9Pgb+Ej48Glrj7s+Hzp4ClAO7+ezP7s7tXm1k3oBPwaVhWZGYzgIvCeBpyGsH79wNgcq2yy4BrCGpZn4uZZRDUzGt0AboDXd19W62X3wB8LZxvH4LP8Nbw7GI28H13/xQ4B7gpfIyZXQJkQ5O3/XfAd9z9jZoJ7j7LzC4Py54NP+/57v5/4bruBuYTnIF+GTjKzLa7+1/jtvkfBGcSd5rZdcA3CfafR81sAsH+lgdUAz9192dqvWcHANMIDiwLwtd+hpm9Gr4vXwjf0z8CPQj25TzgNHefZ2YFYdkwIIvgbOSH7l4ZnvFdHL5/XYDfuPvfwjORk8MYBwPlwDlxB+aaGKYQHOjygCLgBOBvwJBweVuBMwn2z0uADDMrcverzewC4FsEleBNBGc3C+rY1J+y8ztRRvCdXhM+fwfoaWbZ7l5OcDD/G8HZaqummn/T5ZrZe+HfcoKd+tdh2Vhgb2C8ux8A3ANcFZbdAPze3UcB5xN8YQjLK4FRYc1vNfCb3cQwCjgW2D9c39fMLBN4lKB5aBTBF/AHYa2lUcysE0EzzgvhpCHAWjO708zeAf5DXIXB3SvC0+ElwDogvqniaeCU3a3T3W919xuA7XWUneHu/25E6PGfyXtm9h7BFx13r6qpuRO851uBKbUTv5kNBXLjkkt34EWCxHQwQdNPzYF0CNDdzKab2VyC5FDYlG03s67hcv5bR/GLwAFm1rm++d39CYKD8c3xiT8s+zrBfnSWu/8jbp2dgbuAb7j7SIKDx9/MrF+txT8A3O7uwwn27/4NbMqA8KzwFIKDyqvuPhqYTnB2BEGFaHa4Xx4M7AVcYWYdgAuB48NlfB24MW7ZRxAcHIcCM6i/EnAgMMndjwSOAwrdfZy7DwHeJkjqbwK3Av8IE/8RwLnAYeG6bySswcer/Z1w92U1+6SZpRFU6J4KEz/uPgvoHVYeWjXV/Jtue5hIAAhrUs+Z2Qh3f8PMrgEuNrNBwCSCZAPwT+CvZnYiwZf7J+H0EwhqJUcFZ5RkE7T7NmS6u5eF659HUMMZAgwCpoXLgaA54mCCppPG2BdYU7MjE9TSjgeOdPc3zewrBLXR/jXrd/erzOxa4HaCGs+54bxLAKNl7PKZwM42/7jnuQRJ+T53f7iOZewHLK55EiaLk2stb214ppYFHAV8BSglOMj/Erg8fHlTtj2rjmntwv/N3ffKeKAX8GTcPhIjaLYDdhyUhgP3AoRnrfOpX03CXBL+nx73fFL4+ARgTFjThmC/JDxbPQGYbGaDgRFA/LWb2e6+Mnw8h/oPqHNrzpTDs5uPzew7BPvzJOCNOuaZHJbPjHsvuphZl5ozulDt7wQAZpZH0Nzbl6AiFu9jgs9/aT3xtgqq+e8hd58JOMHOPRmoqan+i6CmkRa+7jaC097/AMcAc8PT4Qzgu3G10zHsvMhbn/hacixcRwZBjWdE3LLGEdT0Gqs6XE6N1cCCMBHi7v8Kywea2aFmNiScXkHwRRgZN28GwYXGhAubfh4iaD6p76xql203s8PCNvkaaeFrqgjelyfcfUuYFO4nSKw1drvt7r6JYL+ZVEfxkcBH7l7Izs+3RnZDy92NjHC5tfeR5+NeU3PAiV9nZQPLLIt/Eu4Lda33a3HrHAtcamZ9gPcIziz+R9DEF6+u/bwuNRfkMbNvAncSXIh9kOBzr2u+DIKKQE1MI4HRwOZar6v9nSA8U5pJ8BkfGX5OtZfdKvb9hij576EwAQ4haKs/iuBOj78RnG6eRLjjmNlM4GB3v5ugPbgT0Jngi3epmWWH1wxuZ2czUlM4UBreiYCZ9SVoGx7VhGV8TNCckRM+fw4YEN7FgJkdTvAlXErQhHKzmWWGcZ8FvBy3rIEE7cWtwV8JatjfbuA1CwlirtGB4MJtzQXCHwKPunsVQfPa18wsNzz1P4ng867R2G2/AvhDfNNceJH798CPwkkbCJISZrYXO++ugiAp13XmUJ9ZwODwc8TMRgCLCJoOAQhrvbMJ7mTCzEYSVFr2xPPA98wszYK7t54iuGFgNMH2/cLdnyc4Q6g5WH9exwB3u/udBN+JE9mZvOPfrxeAM8ysV/j8EoJrEbXt8p0I94fXgMfd/XR336W5MtwfBoTrbtWU/Jtul/ZlgkRwkbsvJKjpHxG2A79BcOq7T5gcrwR+ZmbvAq8AN7j7MoI7aJYRHDw+JKilfL+pQYU10K8AU8P1vwBc6024BTWswbxOUPPE3dcSJLZbwlP/m4FT3L2UoH13OfB++FcJ/DhucccCj0BwQdTM7mjqNjWHMJleTHAB9O24z250/OvCtv7tFlw0x92fA/4EzDAzJ2hSq7lt9BaCprvZBEm+Azub8aCR2x5eSD8H+LmZfWRmCwj2h3Pc/enwZX8GeoUxPAC8GreI54DLzCz+fa+Xu28ATgV+Z2bvA/cRtP8vr/XSM4DTwybFa4GPGrP8BlxGcEF2HjA3/H8jwT66EvDwe9GP4GCw7x6s6/8Iml3fI0jmc+KW9xLwZQtuVHieYB/+T/h9OZNg396lqa32d4Lg4nk/4ORa15m6huWjCW6SWLEH29Ai0tSls8QLr2Fc7e6177xpyjIKCC7QjXb3UjPrCNwRXohstczsTGCiu39rD5bRJrdd6teU74QFd2M90sgbFRJKNX/ZRc01DDOrfRGrKa4HLg/PECC4kHf9HgcXMXd/EOhqwQ/bPq82ue1Sv8Z+J8Kzyeq2kPhBNX8RkZSkmr+ISApS8hcRSUFt4kdeY8eOjfXu3TvRYYiItCkffPDBRnfvVldZm0j+vXv35vHHP/PLaxERaYAFXdDUSc0+IiIpSMlfRCQFKfmLiKQgJX8RkRSk5C8ikoKU/EVEUlBkyd/MxlowzFvt6Sea2dtm9oaZXRjV+kVEpH6R3OdvZlcC3wBqD5WXRdAt8CFh2Qwze8rd10URh4hIcykuq2TRuq0sWlfMysLt0AL9orXLyuCssf3o1H5PxvCpW1Q/8lpCMOTafbWm7w8sdvfNAGb2P+Bwwr7PRUQSraS8ksXri1m4rphF67aycN1WFq4rZlXhrsNMp9U3rlgzapeZzoRBXTm4XxtJ/u7+mJkNqKMoHyiKe74VKIgiBhGRhpRWVLFkQzGL1hXj67aGib6YTzaX7KjUZ2ekM7BbHqP6d+bMsf0Y3L0DQ3p0pG+X9mSkt0D2j1BLd++wBegY97wjUHv8SxGRZlNeWc3HGz9bk1++aRvVYZLPTE9jYLc8hvUp4NSRfRjSowNDenakf5f2ZGYk530xLZ38PyIYQ7QLwaDLhxMMuyYiskcqqqpZvmkbvraYheu2smh9kOSXbtxGVZjlM9LT6N+1Pfv17MiJB+0dJPkeHRnQNY/szORM8vVpkeQfDo/Xwd3/bmZXEAzonA5Mc/dVLRGDiCSHquoYyzdt21GT9/Ai7Mcbi6moCpJ8Whr079KewT06csyBPRjSoyNDenRkYLc82mXuyfjwySOy5B8OTj4ufPxg3PSngafrmU1E5DPmryrijtc/xtcVs2RDMeWV1TvK+nTOxXp05Mj9uu+oyQ/q1oHcbCX5hrSJLp1FJHV98mkJ50x7i6rqGCP6dmLivl0Z3KMj1qMj+3bvQF47pbHPQ++aiLRa28oqufDed6isqubJbx/KwG4dEh1S0lDyF5FWqbo6xvf+8R4L123l7vPGKPE3s9S6vC0ibcYfXlzICx+u45rJB3D4kDpHIpQ9oOQvIq3OM3NX86eXF3Pa6D6cd+iARIeTlJT8RaRVmb+qiB888j6j+3fm5ycNJa0l+lFIQUr+ItJqrN9ayoX3vkOX9tn87exRuic/QrrgKyKtQlllFZfcN5vCkgoe/eZ4unVsl+iQkpqSv4gkXCwW4+on5jNnRSG3nDWSA/dWf49RU7OPiCTcnf9byqOzV/LdLw7m+GG9Eh1OSlDyF5GEetXX86tnP+K4oT357hcHJzqclKHkLyIJs2RDMd956F2sZz43nXYQ6W28j/y2RMlfRBKiqKSCC+95h+yMdG4/ZxTts3UJsiXp3RaRFldZVc2lD83hk80lPHjhOPp0bp/okFKOkr+ItLhfPbuA1xdt5LenDuOQAV0SHU5KUrOPiLSof779CdNmLGXKhAF8/ZB+iQ4nZSn5i0iLeWfZp1z95DwOG7wX10zeP9HhpDQlfxFpEasKt3PJ/bPp3SmXv5wxMmkHRm8r1OYvIpErKa/kwnveoayimocvOoSC9lmJDinlKfmLSKRisRg/eOR9Plq7hWlTDmHf7hqUpTXQeZeIROpPLy3m2Xlr+fFx+3GkdU90OBJS8heRyDw3bw03v7iQU0b25sLDBiY6HImj5C8ikfhw9Rau+Of7HNyvE786eZgGZWlllPxFpNltLC7jwnvfoSA3i9vOHkVOlgZlaW10wVdEmlV5ZTXfvH82G4vLePSSCXTPz0l0SFIHJX8RaTaxWIzr/jWft5dt5s9nHMywPhqUpbVSs4+INJt7Zi7j4bc/4dIj9+XEg/ZOdDjSACV/EWkW/1u0kZ//+yOOOqAHVxw1JNHhyG4o+YvIHlu6cRvfemA2+3brwM1fH6FBWdoAJX8R2SNbSiuYes/bZKSncce5o+nQTpcS2wJ9SiLyuVVVx7jsoXdZvqmE+6eOpW8XDcrSVkSS/M0sHbgFOAgoA6a6++K48u8DZwLVwK/c/Yko4hCRaN04fQGv+gZ+efJQxg3smuhwpAmiavY5Cchx9/HAVcBNNQVm1gn4LjAeOBr4Q0QxiEiEHpu9ktv++zHfGNefs8b2T3Q40kRRJf+JwHQAd58FjI4r2wYsB/LCv+qIYhCRiMxZsZkfPz6P8QO7ct2JByQ6HPkcokr++UBR3PMqM4tvYvoE+BCYA/wpohhEJAJrirZz8X2z6VmQwy1njSRLg7K0SVF9aluAjvHrcffK8PFxQC9gH6AfcJKZjYkoDhFpRlXVMb71wBxKyiq549zRdM7LTnRI8jlFlfxnAMcDmNk4YF5c2WZgO1Dm7qVAIdApojhEpBnd+8Yy3l1RyC9PHsaQHh13+3ppvaK61fMJ4CgzmwmkAeeZ2RXAYnd/ysy+BMwys2rgf8B/IopDRJrJqsLt/O5554gh3fjKCHXd0NZFkvzdvRq4pNbkBXHl1wPXR7FuEWl+sViMa5+cTywGvzhpqPrmTwK6UiMiu/XveWt4ecF6vn/0EP2QK0ko+YtIg4pKKvjpUx8yrHcBUyYMSHQ40kzUvYOINOg30z9ic0k5d593CJm6rTNp6JMUkXrN+ngTD731CRdM3IehvTUwSzJR8heROpVWVPGTJ+bRt0sul39pcKLDkWamZh8RqdMtryzm4w3buPf8MbTPVqpINqr5i8hnLFy3lb+9toSTD+7N4UO6JTociYCSv4jsoro6xo8fn0eHdplcM3n/RIcjEVHyF5FdPPDWCmYv38w1kw+ga4d2iQ5HIqLkLyI7rC0q5cbnFjBx3704ZWTvRIcjEVLyF5Edrn9qPuVV1fzyZHXhkOyU/EUEgOnz1/L8B+u4/EtD6N81L9HhSMSU/EWELaUVXP/UfPbvlc/Uw/ZJdDjSApT8RYTfTXfWby3jN6cM08hcKUKfskiKm738U+5/czlTJgzgoL4aVylVKPmLpLDyymquemweexfk8oOjLdHhSAvSb7ZFUtitry1h0fpipk0ZTV47pYNU0uCnbWZpwGRgEtAVWA+8BPzH3WORRycikVmyoZi/vLyYE4b34gv79Uh0ONLC6m32MbMvAC8CRwBzgQeB2cAxwIvhOLwi0gbVdOGQk5XOdScekOhwJAEaqvkPBo5296pa0/9pZhnARQQHBxFpY/75zie8tfRTfnvqMLp3zEl0OJIA9SZ/d7+tgbIq4G+RRCQikVq/tZRfPfsRY/fpwmmj+yY6HEkQ3e0jkmJuePpDSiur+fUpw9SFQwqrt+ZvZq8Atbv0SwNi7j4h0qhEJBIvfbSOf89dw/ePGsLAbh0SHY4kUENt/lcBtwMnA5UtE46IRKW4rJJrn5zPkB4duPiIQYkORxKsoTb/N83sPmC4uz/RgjGJSARuesFZs6WUR8+cQHamWnxTXYP3+bv771oqEBGJznufFHL3zGWcPbY/o/p3TnQ40go01OZ/eH1l7v7faMIRkeZWUVXNVY/NpUfHHK48Vl04SKChmv834x4fCbxMeMEXUPIXaSPueH0pC9Zu5bZvjKJjTlaiw5FWoqE2/zNqHpvZK+5+ZsuEJCLNZdnGbfzhxYUce2BPjjmwZ6LDkVaksVd91I+PSBsTi8W4+sl5ZGekc8NXDkx0ONLK6JK/SJJ6bM4qZizexI+O248e+erCQXbV0AXfX7Ozxj/IzH5VU+buP4k6MBH5/DYVl/GLf3/I6P6dOXNMv0SHI61QQxd8F8Q9vq4pCzWzdOAW4CCgDJjq7ovjyo8Drie4gDwb+La6iBZpPj9/5kO2lVXy61OGkZ6uLhzksxq64HvPHiz3JCDH3ceb2TjgJuArAGbWEfgdMMndN5rZlcBewIY9WJ+IhF5buIEn31vNZV8czOAeHRMdjrRSu+vbJ0ZQO69RUzuv6ePnC/XMPhGYDuDus8xsdFzZBGAecJOZDQTucHclfpFmUFJeydVPzGNgtzy+NUldOEj9Gqr5H7kHy80HiuKeV5lZprtXEtTyjwRGAMXA62b2hrsv3IP1iQjwhxcXsXLzdv5x0ThysjISHY60Yg3V/LsC1wJfBAqAQuB14AZ3X7+b5W4B4s8308PED7AJeNvd14br+S/BgUDJX2QPzF9VxB2vf8wZY/oydmDXRIcjrVxDt3reA7wBHAr0J2jKeZ1gOMfdmQEcDxC2+c+LK5sDDDWzvcwsExgHfNj00EWkRlU4LGPXDu246rj9Ex2OtAEN3e2T7+7/iHu+BXjYzL7diOU+ARxlZjMJrg+cZ2ZXAIvd/Skz+zHwfPjaf7r7/M8TvIgEnv9gLfNWFfHH00dQkKsuHGT3Gkr+683sOoILt0UEzTiTgTW7W6i7VwOX1Jq8IK78YeDhJkcrInW6a8ZS+nbJ5YTheyc6FGkjGkr+ZxN07vYjggu4Wwiac85tgbhEpJHmryri7WWbuWby/mTonn5ppIaSf3fgsfAvXjdgRWQRiUiTTJuxlLzsDE47RIOxS+M1lPz/wc77/PcnuChb06WzxvAVaQU2bC3jmffXcMaYvuSru2Zpgobu8x9f8zjs0nlP7vsXkQg88OZyyquqOXfCgESHIm2MunQWaaPKKqu4f9YKjrRuDOzWIdHhSBujLp1F2qhn561hY3EZ5x26T6JDkTaooV/4XhQ+TAN6xz3H3f8edWAiUr9YLMZdM5YxqFsehw3eK9HhSBvU0AXfXnGPH4x7riYgkQSbs2Izc1cW8fOThpKWpts7pekauuB7A4CZfQmY5+7rWiwqEWnQtBnLyM/J5NSRvRMdirRRjW3z35O+/UWkGa0u3M70+Ws5fUw/2mc3dPIuUr/GJP/s8E9EWoH7Zi0nFotxzvj+iQ5F2rDGJP9LAI3ZK9IKbC+v4qG3VnD0AT3p07l9osORNqwxyT8feCvqQERk9558bxWFJRWcd+iARIcibVxjkv9vgeOiDkREGhbc3rmUA3rlM2afLokOR9q4epO/mZ0E4O7Pufu/6yg/OcrARGRXM5dsYuG6Ys47dIBu75Q91tCtAu3N7DngBWAusA7oRDDy1jHAvdGHJyI17pqxlK552Zx4kPrslz1Xb83f3R8ETiUYZP184CbgYmAzcLK739ciEYoIyzdt46UF6zlrbD8NzC7NosGbhN29BLjdzJ4EBgEL3f3TFolMRHa4e+YyMtPTOHucbu+U5rHbC75m9k2CEbx+BLxhZmdHHpWI7LC1tIJH3lnJ5GG96J6fk+hwJEk05m6fi4Dh7n4ycDDw3WhDEpF4j85eSXFZJVPUe6c0o8Yk/3VAZfh4O7ApunBEJF51dYx7Zi7j4H6dGNG3U6LDkSTSmI5B0oH3zGwmQc0/y8weBHD3M6MMTiTVvbpwPcs2lXDF0ZboUCTJNCb5/zLu8QNRBSIin3XXjGX0zM/huKE9Ex2KJJndJn93f60lAhGRXS1at5XXF23kh8cYWRkadE+al/YokVbqrpnLaJeZzhlj+iU6FElCjbnV88iWCEREdiosKefxOSs5aURvuuSpR3Vpfo2p+d8QeRQisouH3/6E0opqzps4INGhSJJqzAXfmJk9AThQDeDu6t9fJCKVVdXcO3MZ4wd2Zb+e+YkOR5JUY5L/tMijEJEdXvhwHauLSvnplw9MdCiSxBrT7PMAkEXQt89y4DPdO4tI87lrxlL6dsnli/v3SHQoksQak/xvBfoBRwEdUVfOIpGZv6qIt5dt5tzxA8hIV5/9Ep3GJP9B7n4dUOruTwMFu5vBzNLN7FYze8PMXjWzfet5zXNmdsnniFskKU2bsZT22RmcdkjfRIciSa4xyT/TzPYiuPDbkfCi726cBOS4+3jgKoKxAGr7BdC50ZGKJLkNW8t45v01fHVUH/JzshIdjiS5xiT/qwm6dB4NzKJxt35OBKYDuPuscN4dzOyrBAeR6U0JViSZPfDmcsqrqjl3woBEhyIpoDHJv9zdjeCC71B3f7ER8+QDRXHPq8wsE8DMhgJnAtc1NViRZFVWWcX9s1YwyboxqFuHRIcjKaAxyf98M3uHIFlPMrPGzLOF4OLwjvW4e0230OcAvYGXgSnAFWZ2bONDFkk+z85bw8biMs5Tn/3SQhrTsdtFAGZ2GHAjwRlA993MNgM4EfinmY0D5sUt78qax2b2U2Ctu6v5R1JWLBbjrhnLGNQtj8MH75XocCRF7Db5m9nlwBeBbgRJ/fpGLPcJ4KhwDIA04DwzuwJY7O5P7UG8IklnzorNzF1ZxM9PGkpamm7vlJbRmF/4HkNwV85jwPPuPnd3M7h7NVD7Fs4Fdbzup41Yv0hSmzZjGfk5mZw6sneiQ5EUstv2e3c/DpgEzAf+aGZrog5KJFWsLtzO9PlrOX1MP9pnN6YuJtI8GtPscwpwPDASeAf4bdRBiaSK+2YtJxaLcc74/okORVJMY6oaE4G73X1q1MGIpJLt5VU89NYKjj6gJ306t090OJJiGnPb5s3Ad83sAzN7wswGRByTSEp48r1VFJZUcN6hAxIdiqSgxiT/vwP3AYcC9wB3RhqRSAoIbu9cygG98hmzT5dEhyMpqDHJP8fdn3L3Qnd/ksY1FYlIA2Yu2cTCdcWcd+gA3d4pCdHYjt2GAdT8F5E9c9eMpXTNy+bEg/ZOdCiSohpTi78MmGZmvYDVwIXRhiSS3JZv2sZLC9Zz6ZH7kpOVkehwJEU1mPzNLB9wdz+kheIRSXp3z1xGRloaZ4/T7Z2SOPU2+5jZpcD7wPtmdkzLhSSSvLaWVvDIOyuZPLwXPfJzEh2OpLCG2vzPBAwYD1zeMuGIJLdHZ6+kuKxSvXdKwjWU/EvdvdzdNwLZLRWQSLKqro5xz8xlHNyvEyP6dkp0OJLiGnO3DwQ9c4rIHnh14XqWbSpRrV9ahYYu+B5oZg8SJP6axwC4+5mRRyaSZO6asYye+TkcN7RnokMRaTD5nxb3+NaoAxFJZovWbeX1RRv54TFGVkZjT7hFolNv8nf311oyEJFkdtfMZbTLTOeMMf0SHYoI0Pg2fxH5nApLynl8zkpOGtGbLnm6d0JaByV/kYg9/PYnlFZUc97EAYkORWQHJX+RCFVWVXPvzGWMH9iV/XrmJzockR2U/EUi9MKH61hdVMoU9dkvrYySv0iE7pqxlL5dcvnS/j0SHYrILpT8RSIyf1URby/bzLnjB5CRrt9JSuui5C8SkWkzltI+O4Ovje6b6FBEPkPJXyQCG7aW8cz7a/jqqD4U5GYlOhyRz1DyF4nAA28up7yqmnMnDEh0KCJ1UvIXaWZllVXcP2sFk6wbg7p1SHQ4InVS8hdpZs/OW8PG4jL13imtmpK/SDOKxWLcNWMZg7rlcfjgvRIdjki9lPxFmtGcFZuZu7KIKYfuQ1qabu+U1kvJX6QZTZuxjPycTE4d2RLXm4wAAA3vSURBVDvRoYg0SMlfpJmsLtzO9PlrOX1MP9pnNzRUhkjiKfmLNJP7Zi0nFotxzvj+iQ5FZLciqZ6YWTpwC3AQUAZMdffFceXfA04Pnz7r7jdEEYdIS9leXsVDb63g6AN60qdz+0SHI7JbUdX8TwJy3H08cBVwU02BmQ0EzgImAOOAo81seERxiLSIJ99bRWFJhXrvlDYjquQ/EZgO4O6zgNFxZZ8Ax7p7lbvHgCygNKI4RCIX3N65lP175TN2ny6JDkekUaK6KpUPFMU9rzKzTHevdPcKYKOZpQG/A95194URxSESuZlLNrFwXTE3fnW4bu+UNiOqmv8WoGP8ety9suaJmeUAD4Sv+VZEMYi0iLtmLKVrXjZfPmjvRIci0mhRJf8ZwPEAZjYOmFdTENb4/wW87+4Xu3tVRDGIRG75pm28tGA9Z47tR05WRqLDEWm0qJp9ngCOMrOZQBpwnpldASwGMoAjgHZmdlz4+h+7+xsRxSISmbtnLiMjLY2zx+n2TmlbIkn+7l4NXFJr8oK4xzlRrFekJW0treCRd1YyeXgveuRrl5a2RT/yEvkcyiqr+PaD77KtvJILJqr3Tml7lPxFmqiyqprLHnqX/y7cwG9PGc7wPp0SHZJIkyn5izRBdXWMHzzyPs9/sI7rTzyA0w7R+LzSNin5izRSLBbj6ifn8+R7q/nhMabBWqRNU/IXaYRYLMYv//0RD721gm9NGsS3j9w30SGJ7BElf5FG+MOLi7jjf0uZMmEAPzzGEh2OyB5T8hfZjdteW8IfX1rE10b14boTDlAXDpIUlPxFGnDfrOX8+rkFnDC8F785dTjp6Ur8khyU/EXq8djslVz75Hy+tH93bv76CDKU+CWJKPmL1OG5eWv44aPvc+i+XfnLmSPJytBXRZKL9miRWl5ZsJ7LHn6Xg/t15u/fGK0O2yQpKfmLxHljySYuuX82Q3p0ZNqUQ8hrp4HYJTkp+YuE5qzYzAX3vE2/Lu2574KxFORmJTokkcgo+YsAH6wuYsq0t+jWsR33Tx1Ll7zsRIckEiklf0l5i9cXc86db5HXLpMHpo5V98ySEpT8JaWt2FTCWXfMIi0tjQemjqVP5/aJDkmkRSj5S8paW1TKWXfOorSimvunjmFgtw6JDkmkxSj5S0raWFzGWXfMYvO2Cu49fwz79cxPdEgiLUrJX1JOUUkF37jzLVYVbufOc0dzUF8NxiKpR8lfUkpxWSXn3vUWS9YXc9s3RjN2YNdEhySSEPoFi6SM0ooqpt7zNvNWFXHLWSM5Yki3RIckkjCq+UtKKK+s5pL7Z/Pm0k+56WsHccyBPRMdkkhCKflL0qusqua7D7/Lq76BX508jJMO7p3okEQSTslfklp1dYwrH5vLc/PXcs3k/TljTL9EhyTSKij5S9KKxWJc99R8Hp+ziiuOGsLUwwYmOiSRVkPJX5JSLBbjN88t4P5ZK7j48IF85wsacF0knpK/JKU/v7yY2/77MWeP68dVx+2ncXdFaknqWz0/WrOFm15YyKBueQzrU8Dw3p3o2yVXiSBJlFZUsbaolDVFpawp2s6aolJWF25nxaclvL5oI6eM7M3PvjxUn7dIHZI6+Wekp7FhaymvLVxPRVUMgILcLIb3KWBY7wKG9ylgaO8CenfSAaG1qaiq3iWxry4sZW3RdlbXJPrCUjZtK//MfJ3bZ9GzIJcLJu7Dj4/bTwOui9QjqZP/kB4d+delEymrrGLh2mLmripk3soi5q4s4u///ZjK6uCA0CUve8fBIPjfiR757drMAaG6OsbG4rIgMRZu3/F/zZZS1m8ppV1mBp3aZ9G5fTad87LpHD6umdYlL3jcoV1mi2xzZVU167eW7ayxF5ayOvxfU4PfUFxGLLbrfB1zMtm7IJdenXIY1rsTexfk0LMgh7075dKrIIdeBbnkZmvIRZHGSOrkX6NdZgbD+hQwrE8BjA2mlVZUsWDtVuatLGTuyiLmrSrir69sIDwe0K1jO4b3Ds4Mhofzdu/Y8v28x2IxNm0rj0uQQVKvSZSrC0tZt6V0x4GsRk5WOnsX5NI9vx0l5ZWsKtzO5pJyirZXfCap1sjKSKMgN5sueVl0ah9/kIifFk7PCx4X5GaREVe7rn0g2lFzj3u+fmsZVbXizcvOoFeYxK1nR3oV5LJ3p5wd/3sW5NJBQyqKNJtIvk1mlg7cAhwElAFT3X1xXPmFwMVAJfALd38mijgakpOVwYi+nRgR16nX9vIqPlxTFJwdrAr+v+zrdyTLnvk54bWD4GAwrHcBXTu0+9wxxGIxCksqdtZ6t+xMkKvD/2uLSimvqt5lvuyMdHoW5NCrIIcx+3QJar2dcnfWhAty6dQ+q85afFV1jC3bK/i0pJzCknI2b6tgc0k5hSWfnbZ04zbmlBRSWFK+o9mstrQ0yM/JonP7LCqrY6zbUvqZ17bLTN9RO58waK8dST2IO3icn9MyZx0iEoiqKnUSkOPu481sHHAT8BUAM+sJXAaMBnKA/5nZf9y9LKJYGi03O4NR/bswqn+XHdO2lVXyweotzF1ZyLxVwRnCfz5ct6O8d6dchoUHg5pmo07ts4nFYmwprdzRjBFfU19TtJ21RUFNvrRi18SemZ5Gj/wc9u6Uw4i+neg1LIde+TXJPWjy6JqX/bkTZUZ6WlBrb8IwhbFYjG3lVWzeVs7mknI2l1SEB4lyPq15XFJBRho7DkK9wlgbOhCJSOJElfwnAtMB3H2WmY2OKxsDzAiTfZmZLQaGA29HFMseyWuXyZh9ujBmn50HhC2lFXywagvzVu1sMpr+wdod5T3zc9haWsG28qpdlpWeBj3ygxr7/r3y+cJ+3Xcmy7BmvFeHdrs0o7QGaWlpdGiXSYd2mfTtopGuRJJBVMk/HyiKe15lZpnuXllH2VagIKI4IpGfk8X4QV0ZP2hnd8CFJeXMX7WFeauKWLRuKwXts9i7IDe8IBnUhLt3bEdmhn5aISKJF1Xy3wJ0jHueHib+uso6AoURxdFiOrXPZuLgvZg4eK9EhyIisltRVUNnAMcDhG3+8+LK3gIOM7McMysA9gfmRxSHiIjUIaqa/xPAUWY2E0gDzjOzK4DF7v6Umf0JeJ3g4HO1u5dGFIeIiNQhkuTv7tXAJbUmL4grvx24PYp1i4jI7unqo4hIClLyFxFJQUr+IiIpSMlfRCQFKfmLiKSgNtFN4gcffLDRzJYnOg4RkTamf30FabH6+vcVEZGkpWYfEZEUpOQvIpKClPxFRFKQkr+ISApS8hcRSUFK/iIiKahN3OffFplZFjANGAC0A34BfAjcDcQIxjD4dtgDalIws+7AbOAooJIk3FYz+zHwZSAbuAV4jeTczizgHoL9twq4kCT7TM1sLPBbd59kZvtSx7aZ2fXAZIJtv9zd30pYwM1MNf/onA1scvfDgGOBvwC/B64Jp6URDmqfDMJkcRuwPZyUdNtqZpOACcChwBFAX5JwO0PHA5nuPgH4GfBLkmhbzexK4A4gJ5z0mW0zs5EEn/NY4HTgr4mINSpK/tF5BLg2fJxGUHMYRVBTBHgO+FIC4orK/wG3AqvD58m4rccQjEr3BPA08AzJuZ0AC4FMM0snGHe7guTa1iXAKXHP69q2icAL7h5z9xUE70e3lg0zOkr+EXH3YnffamYdgUeBa4A0d6/5SXWbG7i+PmY2Bdjg7s/HTU7Gbd0LGA18jWCwogcIxqdOtu0EKCZo8llAMPDSn0iiz9TdHyM4oNWoa9vygaK417Tpba5NyT9CZtYXeAW4z90fBOLbR5Ni4PrQ+QTDdr4KjADuBbrHlSfLtm4Cnnf3cnd3oJRdk0GybCfA9wi2dQhwEEH7f3ZceTJtK9T93dwSPq49PSko+UfEzHoALwA/cvdp4eR3w3ZjgOMIxjFu89z9cHc/wt0nAe8B5wDPJeG2/g841szSzGxvIA94KQm3E2AzO2u9nwJZJOn+G6pr22YAx5hZupn1IzjL25ioAJub7vaJzk+AzsC1ZlbT9v9d4E9mlg18RNAclKy+D9yeTNvq7s+Y2eHAWwQVp28DS0my7QzdDEwzs9cJavw/Ad4hObcV6thf3b0q3P432Pl5Jw316ikikoLU7CMikoKU/EVEUpCSv4hIClLyFxFJQUr+IiIpSMlfkp6ZTTKzovBHdzXTfhP+MlkkJSn5S6ooA+4ys7REByLSGuhHXpIqXmbnD3X+UtcLwjOB44H2wCCC7n7vNrNhhH3bEHTxcD5wMHCJu58ezrvW3Xua2d1A1/BvMkGfThPDVTzo7n8MX1NG0HdOL2CKu88xs7uAfYFc4I/ufl9zvgEi8VTzl1TyTeB7Yd/t9Slw9xMI+uy/Kpx2O0H/7pOAZ4Erd7Oel8OukA8F9gHGERwAzgwPJADL3f0Y4M/ARWEHgIcT9DR5LEEf+iKRUfKXlOHum4DLCTopq2/ffy/8/wk7+3rfH7gl7LjufKB3HfPFNyd53Hyvh10CVwCzgAPCsnfj1+PuW8PY/g78g2AAIJHIKPlLSnH3pwmS85R6XlJXfycOnBPW/K8k6Me/lKDJBjPrD3SJe31ND5EfETb5hIPdTAAW1bUeM+sFjHL3kwmai240MzXLSmS0c0kquhz4YhNe/03g3jAZx4ALgI+BQjN7kyDJL609U9gR3CQze4Ogc7R/hm37da1jLdDTzGYSNPn8n7tXNmWjRJpCHbuJiKQgNfuIiKQgJX8RkRSk5C8ikoKU/EVEUpCSv4hIClLyFxFJQUr+IiIp6P8BBcm2gRXFFvsAAAAASUVORK5CYII=
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAX8AAAESCAYAAAAVLtXjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3deXxcdb3/8VeWpumSpnvpShfaj1RaKJRuIBSR3QWQ69UiilysoP5cUBGvC+J1Q0Au6AUEBQRBRRBFZVMRxaYtUEopSz+ladpSSpckbZqkbdIk8/vjnJEhJpNJm8mZ5f18PPLIzDkzcz7nnJnP+c7nfOd7CmKxGCIikl8Kow5ARER6n5K/iEgeUvIXEclDSv4iInlIyV9EJA8p+YuI5KHiqAPIRWY2EagEVoeTioA9wGXuviQNy9sAnBfevcLdz+v80d163W8Cw939053M/z7wN3d/zMxmAD8CyoFW4BPuvsLMSsLp7wif9ghwubu3mtl1wB/c/ckUYtkANAF7CRotRcAN7n7rga9hp8u6E3jR3a81s+eBhe6+qwdedyHwY3c/IrwfA0a4e3UHjx0L3Ay8z91j4bQS4B/A/e5+bThtKMH2nQ70A77j7neb2UDgN8C57r43hdiKgc8BHwb6AP2BVcCX3d07eU6H28bMvggc4e4XdrXcdDGzM4Dj3f2rZjYVuB0YBjQAH3H3NUmeexFwjru/J7w/jmAbv9/d29Iffe9Qyz999rr7UeHfDOA64M50LtDdn+2pxN8VM5sHTA8Tf3/gceAH7j4L+B/gnvChnwZGAEcAM4EFwAfCed8CfmRm/VJc7Pnh9pwJnA7cYGbje2aNOhYu76AT/wG4DfhWPPGH/heY0u5xdwKbw+3+LuBGMxvn7g3ALwn2RSruAo4DTnb3t7v7JOA+4K/hgeTfRLhtkjKzMuAHwHfCSfcAN7v7dOBK4AEzK+jgeUPN7BaCRP+v+e6+GVgJfDLdsfcmtfx7zzDgDQAzKwSuB+YBZQRvtIvdfYmZHQ/8kKBlGwO+5+4PhK2+q4ETw3krgc+4++74AhJblmHrdTcwAxgPrAE+6O4NZnY4cEMYUxFwo7vf3s31+Sbw4/D2qUCluz8c3n8IqAJw9x+a2Y/cvc3MRgCDgdpwXp2ZLQEWh/F0xxCgkaAlF2+tfQIoAYYC33f3m83sEILENjx83p/c/evhc/6L4ANdCNQAn27fIoy3zoF3A+cAbcBUoJmgBfmimZWH8c8gaDX/FfiSu7d0c53iy5wHjHT3ZxOmXUDwrepPCdOGAqcAH4QgSZnZXMLtS5C8rzaza9x9W5LlHQOcDExy9z3x6e5+b7iMQUCDmTUBvweOBM4Hngm3TR1wYxjLdmBbOA0zexJYSnBgmQA8BXw0fD8sIHhPDyDYrt909z92ts+S7ct2PgU85u57wm9QbwN+Fa7TI2Z2MzALeK7d8z5A8Bn9InBWu3k/A542s1vdvbmzbZlN1PJPn35m9nz4t5EgOXwvnDcXGAPMD1sjPweuCOddBfzQ3Y8BLgLeGU6/AmgBjnH3I4EtwPe7iOEYghby4eHy/iP8en8/QXnoGIKDyRfDhJMSMxtMUMZ5PJw0DdhqZj8zs2eBP5PQsHD3/WGJqJIgMTyV8HJ/AM5NcdH3hNtzDcHB7xZ33xm2TD8OnBm2gP+ToOVHOH29ux8dxjzVzMrN7ETgo8A7wuf8APhtF8s/Efh/YdlmCfClcPr1wIpwe84iSE6XpbhOHTkP+GP8TlhS+yzBQTLRYQTJ6jIzWxJu+6PjCdzd9wH/BM7sYnnvAP6ZmPjj3P3H7r4lvFtCUKazxAMTwQF0GkHp6RSCJJ9oCrCQ4OD4TuBEMxsC3AFcEO6b9wI3m9kEOtlnSaa3l7j9xgNb2pVrNgPjOljXW9z9KoLSYvt5rxN85o7rYHlZSS3/9Nnr7kfF74StnEfM7Ch3X2pmXwM+YWbxD0Z9+ND7gP8zs/cAfwH+O5z+boJW8ylmBsEHcXsXMTzq7k3h8lcTtIinEXwYbw9fB4Ja8SxgWYrrdhjwRkILqA9BgjnJ3Zeb2fuAh83s0Pjy3f0KM/s6QTnjZoLEC8EBwUjN+fGkY2ZjgCfM7CV3/6WZvRs4K6zvHgXESxWPhrFMINieV4TfOM4K16MiYTsMDVu6nVkRlgAgaDXGD1rvBuaE3yQg2J4H418t1TC53Q0scvfGhFgh2O6TgN3ufpyZHQY8ZWavuvuK8DGpbN8Cgm+ZhMs04Nfh3XKCct7N4f2n+HfvAu4N3w/NZnYPQYkv7g9h8q03s3UE78P5wGjgdwnrFAuf19k+63B6B/G8DVgX3u6sgdvayfRk4tvybwfw3Iyjln8vcfcKwAmSxFm8+fX998AthDVGd/8JQQvpz8BpwAthAigCPhs/jwDM4c2TvJ1JbMHEwmUUAbsSzkccRVB+uqMbq9MWvk7cFmCNuy8P1+H34fzJZnacmU0Lp+8nqFEfnfDcIg7ggxi2Rh8CTghPyD0PHErQ0v1awuOeIUiQtwITCb66LwiXe3fCNjgamA3sTLLYjrZnfB3+I+G15hKc6zhQidv3NIKD/r3hCdb3Ap83s28RbHcIzyW5+zqC9Z+T8FqpbN8KYIGZ9QlfxxPW5e8EZZm4hg6en7gtIPiGmqiz9+ErHbwPH+tsnyXZl+0lbr9NwCHtavxjCVr/3XVA79VMpeTfS8IEOI2gXHEKQWvoZoK66dmEb1YzqwBmufudBF/zBxPUtx8DPm1mJeE5g9t4s4zUHQ7sM7MPh8sbD7xIUCJK1XpgpJmVhvcfASaGtWPM7ASCD3kVwdf8682sOIz7fOCJhNeaTHA+olvMbADBdnyaIGnvAL7t7o8RtMQxs6Kw3PR1d/8dQenkJYL98DjwITMbHb7kJQS1+gPxGEFCLjCzvgQHpYNJ/msJtgvufp+7T0xIkA8B17v7N9y9iuAbyEcBzGwUwQn1xJJMl9s3PGj/DbjbzOL1dMxsOsG3qK4S3qPAR8ysNHxP/GcK67iMoGxzQriso4BXgTGd7bMk+7K9xO23maDF/p/hck4jODis7uB5XTmg92qmUvJPn8Sa//MEdfbF7r6WoKV/opm9QHAyrBKYFCbHy4FvmdlKgg/kVe6+gaDXxgaCg8fLBK2nL3Q3qPCr+fuAi8PlP07wgUq5C2rYw+Mp4KTw/laCA9hNZvYiQQ383LDmfDWwkaDb4CqCVuFXEl7udIIuiZjZJWb20ySLjtf8VxJshz+6+x3hOmwGPJw3geBgcBhBD5mjwrieJTgg/TI8SFwN/DncDovCmA9kmNvPELSOVwMvhP9/kPQZyd1PsF1ScQ5wqpm9BDxJ0EPoGYDwQDSf4LwKZvawmb23k9e5gOA8xsNmttLMXiZoYd9E0PslmZ8QbNsXCb4pVHUVtLvvAN4PXGNmqwhKWxe4+0Y62WdJprfXfvt9ELgkfN53CL6ltUHQXdXMZncVb3hgHUmwjXJCgYZ0lgMRft3+qru37xXRndcoJ/gwzXb3fRZ00fupu6fScsxpZvY4wfZ95iBe40Lg7e7+pfD+x4Fqd3+wZ6LMTGY2iOCbxeyOTmIf4Gt+E9jh7v/XE6+XCdTylwMSP4dhZqm2UDtyJfC58BsCBCWGKw86uNywGLjSOuiPnorwQLqIoEtuXAsJvYhylQfdn78CdNQNtNvC0ujRBN/Yc4Za/iIieUgtfxGRPKTkLyKSh7LiR15z586NjR07NuowRESyyksvvVTt7iM6mpcVyX/s2LH89rdd/fJeREQSWTC0TIdU9hERyUNK/iIieUjJX0QkDyn5i4jkISV/EZE8pOQvIpKH0pb8zWyuBZdwaz/9PWb2jJktDQeaEhGRXpaWfv5mdjnBELGN7ab3IRju99hw3hIzeyjZ9UVFOvPqtnr+tPoN2to0PlUmmDVhCCdMG0FR4QGNRddtsViMHfVNrN3WwNpt9ezakxOX1n2Lvn2KOH/uBAb3L+nx107Xj7wqCS5xd3e76YcD69x9J4CZ/RM4gXA8d5FUtLbFuO2p9fzw8bU0t7ZR0Du5RpKIjw85dnA/PjRnPB84djwjy0qTP6kbqhuaWLutnle3NeDb6nl1Wz1rtzVQt3f/Wx6Xa++FvsWFLJgyjFkTsiT5u/sDZjaxg1mDgMRrbtYTXCNUJCXrdzTwhd+sYuWmXZz+9kP49jlHMHxg36jDynvNLW38+eVt3Pv0Rq59fC3/+5dXOfXtozh/7qHMnzyMwhS/DexpbsG31vPKG/Ws2bqbtWGSr218s1Vf3q8P00YN5KyZo5k2ciDTRpUx7ZAyvQ+6qbeHd9gNlCXcLwN29XIMkoXa2mLcUbGBHzy6htI+RdzwwaN475FjKMi1pl6WKiku5KyZozlr5mjW72jgl09v4jcrNvPw6q1MHNafRXMncN4x4xk6IGjBxmIx3qjbxytv7A7/6nnljd1U1TT+61vEwL7FTBs1kFOnj2LqqDKmjQoS/ciyvtrvPaC3k/8rBNftHEpwIegTgGt7OQbJMptq9vDF+1fxdFUtJ79tJN87dwYjB/VcSUF61uQRA/nqWdP5wqnGoy9u5Z7lG/nuw2u49rG1nPS2Eeze28IrW3eza8+bJZsJQ/tz+Ogy3nvUGA4fPYjpowcxbkg/Jfk06pXkb2aLgIHufquZXUZwwetC4HZ3f703YpDsE4vF+MXyTXzv4VcoKijgmvNmct4x45QQskRpnyLOnjWWs2eNZe22eu5dvolHX9zKqPJSzjjiEA4fPYjDRw/ibYeUUVbaJ+pw805WXMnr3HPPjWlUz/zy+q69fPn+F/jnumreMXU4V79/JmMG94s6LJGsYmYr3L3DC9RnxZDOkj9isRj3Pfsa//PHV2iLxfjOOUewaM4EtfZFepiSv2SMPc0tfPrelTyxZjvzJg/lmvOOZPzQ/lGHJZKTlPwlI8RiMa54YDVP+na+8e7pXLhgYsrdA0Wk+5T8JSPctXQjD63awpdOMy46flLU4YjkPA3sJpFbsXEn3/7Ty7zr8JFceuKUqMMRyQtK/hKp6oYmPnXPc4wu78d1HzhKpR6RXqKyj0SmtS3GZ365kp17mvntJxdQ3k99vUV6i5K/ROa6x52KyhquOW8mbx+jIZ5EepPKPhKJx1/ayk1PVvKhORP4j9njow5HJO8o+Uuv21DdyBd+s4qZ48q58j3Tow5HJC8p+Uuv2tvcyiW/WEFRYQE3nX80pX2Kog5JJC+p5i+9JhaL8dXfrca31XPHhccyboh+vSsSFbX8pdfc+/Qmfvvc63z25KkstJFRhyOS15T8pVesem0XVz30MgttBJ9559SowxHJe0r+kna1jc188p7nGFHWl+v1Qy6RjKCav6Td5fe/wI76Jh64dAFDBvT8hahFpPvU8pe02tnYzF/XbGPxCZOZMU4/5BLJFEr+klbLq2qIxeCkt42IOhQRSaDkL2lVUVnDgJIiZo4bHHUoIpJAyV/SqqKyhjmThtKnSG81kUyiT6Skzbbd+1i3vYEFU4ZHHYqItKPkL2mztLIGgPlThkUciYi0p+QvaVNRWU15vz5MHz0o6lBEpB0lf0mbisoa5k8eph91iWQgJX9Ji9dq97B5514WHKaSj0gmUvKXtKiorAZgger9IhlJyV/SYsm6GkaW9WXKiIFRhyIiHVDylx4Xi8WoqKxhwZRhFBSo3i+SiZT8pcet295AdUOT+veLZDAlf+lxFerfL5LxlPylx1VUVjN+aD/GD9VlGkUyVVrG8zezQuAm4EigCbjY3dclzP8CsAhoA77r7g+mIw7pfa1tMZatr+X0tx8SdSgikkS6Wv5nA6XuPh+4ArguPsPMBgOfBeYDpwL/m6YYJAIvb9lN3d796t8vkuHSlfyPBx4FcPdlwOyEeY3ARmBA+NeWphgkAvH+/ar3i2S2dCX/QUBdwv1WM0ssMb0GvAw8B9yYphgkAhWVNUwdOZCRZaVRhyIiSaQr+e8GyhKX4+4t4e0zgNHAJGACcLaZzUlTHNKLmlvaeGZDrX7VK5IF0pX8lwBnApjZPGB1wrydwF6gyd33AbsAXeYpB7yweRd7mluZr/79IhkvLb19gAeBU8ysAigAPmZmlwHr3P0hM3sXsMzM2oB/An9OUxzSi5asq6GgAOZNHhp1KCLShbQkf3dvAy5pN3lNwvwrgSvTsWyJTkVlNUeMKWdw/5KoQxGRLuhHXtIj9ja3snLTLtX7RbKEkr/0iBUbd9Lc2qYuniJZQslfekRFZTXFhQUcO1H1fpFsoOQvPaKisoajxg9mQN909SEQkZ6k5C8Hbfe+/bywWfV+kWyi5C8H7en1tbTFYMFh6t8vki2U/OWgVVTW0Le4kFkT9Fs9kWyh5C8HraKymmMnDqVvcVHUoYhIipT85aDUNDSxZmu9uniKZBklfzkoy9bXAuhkr0iWUfKXg7KkspqBfYuZMbY86lBEpBuU/OWgLK2sYe6koRQX6a0kkk30iZUDtmXXXqqqG9XFUyQLKfnLAVtaWQOo3i+SjZT85YBVVNYwdEAJNqqs6weLSEZR8pcDEovFWFpZzfzJwygsLIg6HBHpJiV/OSAbavawpW6f+veLZKmkQzCaWQFwFrAQGAZsB/4K/NndY2mPTjJWRWU1oHq/SLbqtOVvZu8E/gKcCLwA3AusAE4D/hJeh1fy1DNVtYwa1JdJwwdEHYqIHIBkLf+pwKnu3tpu+n1mVgQsJjg4SB5aX93ItFFlFBSo3i+SjTpN/u7+kyTzWoGb0xKRZLxYLEbVjkbOOXps1KGIyAHSCV/ptprGZuqbWpg4TCUfkWzVacvfzP4G9G03uQCIufuCtEYlGa2quhGASSOU/EWyVbKa/xXAbcA5QEvvhCPZoGpHkPwn62SvSNZKVvNfbmZ3AzPd/cFejEkyXFVNI8WFBYwd3C/qUETkACXt5+/u1/RWIJI9qnY0MmFYf43kKZLFktX8T+hsnrv/Iz3hSDbYUNPIJJ3sFclqyVr+lybcPgl4gvCEL6Dkn6fa2mJUVTdyvIZxFslqyWr+H4rfNrO/ufui3glJMtnW3ftoamljok72imS1VIu2GsdHgDe7eaqnj0h20xk76Rb18RfJDclO+H6PN1v8U8zsu/F57v7f6Q5MMlNVdSOlfQoZVVYadSgichCSnfBdk3D7G915UTMrBG4CjgSagIvdfV3C/DOAKwlOIK8APqUhorNDVXUjE4cN0AVcRLJcshO+Pz+I1z0bKHX3+WY2D7gOeB+AmZUB1wAL3b3azC4HhgM7DmJ50ks2VDdih+iyjSLZrquxfWIErfO4eOs8PsbPOzt5+vHAowDuvszMZifMWwCsBq4zs8nAT91diT8LtLS2sal2D6cfcUjUoYjIQUrW8j/pIF53EFCXcL/VzIrdvYWglX8ScBTQADxlZkvdfe1BLE96weade2lpi6mbp0gOSNbyHwZ8HTgZKAd2AU8BV7n79i5edzeQWBsoDBM/QA3wjLtvDZfzD4IDgZJ/hlM3T5Hckayr58+BpcBxwKEEpZynCC7n2JUlwJkAYc1/dcK854AjzGy4mRUD84CXux+69LZ48lfLXyT7JevtM8jdf51wfzfwKzP7VAqv+yBwiplVEJwf+JiZXQasc/eHzOwrwGPhY+9z9xcPJHjpXVXVjZSVFjNsQEnUoYjIQUqW/Leb2TcITtzWEZRxzgLe6OpF3b0NuKTd5DUJ838F/Krb0UqkNtQ0Mnn4AF23VyQHJEv+HyYY3O3LBCdwdxOUcz7aC3FJBlq/o5HZE4dEHYaI9IBkyX8k8ED4l2gEsCltEUlG2re/lS11e5k0fFzUoYhID0iW/H/Nm/38Dyc4KRsf0lnX8M0zm2r3EIvBJJ3sFckJyfr5z4/fDod0Pph+/5Ll1ofX7VXyF8kNGtJZUrKhRt08RXKJhnSWlFTtaGT4wBIGlfaJOhQR6QHJfuG7OLxZAIxNuI+735ruwCSzVNU0quQjkkOSnfAdnXD73oT7KgHloarqRhZOGxF1GCLSQ5Kd8L0KwMzeBax29229FpVklIamFnbUN+nqXSI5JNWa/8GM7S9ZbkP80o3DlPxFckUqyb8k/JM8pev2iuSeVJL/JYCu2ZvH4sn/0KFK/iK5IpXkPwh4Ot2BSOaqqm5kTHkp/UqKog5FRHpIKsn/auCMdAcimauqulElH5Ec02nyN7OzAdz9EXf/Uwfzz0lnYJI5qqobmaiTvSI5JVk///5m9gjwOPACsA0YTHDlrdOAu9IfnkRtZ2MzdXv36wdeIjkmWT//e83sd8D5wEUEF17fDjwJnOPuDb0SoURqfbUGdBPJRcla/rj7HuC28CAwBVjr7rW9EplkhA1K/iI5qcsTvmZ2KcEVvL4MLDWzD6c9KskYVdWNFBUWMH5o/6hDEZEelEpvn8XATHc/B5gFfDa9IUkmqappZPyQfvQp0gCwIrkklU/0NqAlvL0XqElfOJJpqnY0agx/kRyUtOYfKgSeN7MKgpZ/HzO7F8DdF6UzOIlWLBZjQ00jcycPjToUEelhqST/7yTcviddgUjm2V7fxJ7mViar5S+Sc7pM/u7+994IRDJP/Lq9KvuI5B6dxZNOxa/bq26eIrknla6eJ/VGIJJ5qqobKSkuZEx5v6hDEZEelkrL/6q0RyEZKRjTpz+FhQVRhyIiPSyVE74xM3sQcKANwN01vn8eqKpu1MlekRyVSvK/Pe1RSMZpbYuxqWYPJx8+MupQRCQNUin73AP0IRjbZyPwb8M7S+7Zsmsvza1tavmL5KhUkv8twATgFKAMDeWcF+KXbtQ4/iK5KZXkP8XdvwHsc/c/AOVdPcHMCs3sFjNbamZPmtlhnTzmETO75ADiljTTRdtFclsqyb/YzIYTnPgtIzzp24WzgVJ3nw9cAVzXwWO+DQxJOVLpVVXVjQwoKWLEwL5RhyIiaZBK8v8qwZDOs4FlpNb183jgUQB3XxY+91/M7DyCg8ij3QlWek/8ur0FBermKZKLUkn+ze5uBCd8j3D3v6TwnEFAXcL9VjMrBjCzI4BFwDe6G6z0Hl23VyS3pZL8LzKzZwmS9UIzS+U5uwlODv9rOe4eHxb6I8BY4AngQuAyMzs99ZAl3Zpb2ti8c496+ojksFQGdlsMYGbvAH5A8A2gq87fS4D3APeZ2TxgdcLrXR6/bWbfBLa6u8o/GWRT7R7aYjrZK5LLukz+ZvY54GRgBEFSvzKF130QOCW8BkAB8DEzuwxY5+4PHUS80gs2qJunSM5L5Re+pxH0ynkAeMzdX+jqCe7eBrTvwrmmg8d9M4XlSy+r0kXbRXJel/V7dz8DWAi8CNxgZm+kOyiJVlVNI0P692Fw/5KoQxGRNEml7HMucCZwNPAscHW6g5JoVe1oVKtfJMelUvY5HrjT3S9OdzCSGaqqG1lw2LCowxCRNEql2+b1wGfN7CUze9DMJqY5JonQnuYWtu7ep26eIjkuleR/K3A3cBzwc+BnaY1IIrWheg8Ak4YPjDgSEUmnVMo+pQndM39nZp9PZ0ASrfh1eycO7x9xJCKSTqkO7DYDIP5fcpeGchbJD6m0/D8D3G5mo4EtwMfTG5JEqaq6kVGD+jKgbypvDRHJVkk/4WY2CHB3P7aX4pGIVVWrm6dIPui07GNmnwZWAavM7LTeC0mitEHJXyQvJKv5LwIMmA98rnfCkSjV7d1PTWOzkr9IHkiW/Pe5e7O7VwP6nX8e0IBuIvkjld4+EIzMKTlu3fYGACZrKGeRnJfshO/bzexegsQfvw2Auy9Ke2TS657ZUEtZabF+4CWSB5Il/w8k3L4l3YFI9JZX1TJn4lCKCvVFTyTXdZr83f3vvRmIRGv77n1UVTeyaM6EqEMRkV6Qas1fctyyqloA5k4eGnEkItIblPwFgOXraxjYt5jpowdFHYqI9AIlfwGCev/siUMoLtJbQiQf6JMu7KhvYt32BuZO0gVcRPKFkr/wtOr9InlHyV9YXlVD/5IiZowtjzoUEeklSv7C8vW1HHPoEPqo3i+SN/Rpz3O1jc34tnrmTVa9XySfKPnnuX/V+yep3i+ST5T889yy9TWU9ilk5rjBUYciIr1IyT/PLa+q5egJQygp1ltBJJ/oE5/H6vbsZ83W3ar3i+QhJf889vSGWmIx1ftF8pGSfx5bvr6GkuJCjhyver9IvlHyz2PLq2qZNX4wpX2Kog5FRHqZkn+e2r1vPy9tqWOu6v0ieSnZlbwOmJkVAjcBRwJNwMXuvi5h/ueBD4Z3H3b3q9IRh3Tu2Q21tMVgnur9InkpXS3/s4FSd58PXAFcF59hZpOB84EFwDzgVDObmaY4pBPL19dSUlTIrAlDog5FRCKQruR/PPAogLsvA2YnzHsNON3dW909BvQB9qUpDunEsqpajhxfTr8S1ftF8lFayj7AIKAu4X6rmRW7e4u77weqzawAuAZY6e5r0xSHdKChqYUXX6/j0hOnRB2KiEQkXS3/3UBZ4nLcvSV+x8xKgXvCx3wyTTFIJ1Zs3ElrW0zj94vksXQl/yXAmQBmNg9YHZ8Rtvh/D6xy90+4e2uaYpBOLF9fQ3FhAcccqnq/SL5KV9nnQeAUM6sACoCPmdllwDqgCDgR6GtmZ4SP/4q7L01TLNLOsvU1zBhXTv+SdO1+Ecl0afn0u3sbcEm7yWsSbpemY7nStT3NLbywuY6PnzA56lBEJEL6kVeeeW7jLlraYhrPRyTPKfnnmeVVNRQVFjB7opK/SD5T8s8zy9fXcsSYQQzsq3q/SD5T8s8j+/a38vxruzSej4go+eeT5zbtpLm1TfV+EVHyzyfL19dSWIDq/SKi5J9PllfVMH3MIMr79Yk6FBGJmJJ/nmhqaWXlpl3MnaR6v4go+eeNVa/V0dSier+IBJT888Ty9TUUFMAcJX8RQck/byyrqsFGlTG4f0nUoYhIBlDyzwPNLW2s2LiTeerfLyIhJf88sPr1Xezb38Y8jd8vIiEl/zywbH0tAHPU00dEQkr+eWB5VS3TRg1k6ADV+0UkoOSf4/btb2XFhlr17xeRt1Dyz2GxWIwvP/ACjc2tnDHjkKjDEZEMouSfw2786zp+//wWvnSasWDK8KjDEZEMouSfox5atYXr/7KW9x89jlHmG3MAAAjuSURBVE8unBJ1OCKSYZT8c9Bzm3byxd+sYs7EoXz33CMoKCiIOiQRyTBK/jnmtdo9LL7rWUaXl3LLBcfQt7go6pBEJAPpWn45pH7ffi7++bM0t7Txq8XHqmuniHRKyT9HtLS28f9+uZJ1Oxq466I5HDZyYNQhiUgGU9knR3z7T6/wpO/gf953BMcdpp49IpKckn8OuGvpBu6s2MDFx09i0dwJUYcjIllAyT/L/X3tDq76w8u86/CRfOXMw6MOR0SyhJJ/Flu7rZ5P3/Mc00aVccMHZ1FUqC6dIpIaJf8sVd3QxEV3PkNpSRE/++hsBvTVuXsRSZ2Sfxbat7+VxXc9S3VDEz/9yGzGDO4XdUgikmXUXMwCsViMbbubeGHzLla/Xsc/Xq1m1Wu7uOn8ozly/OCowxORLKTkn4G21+9j9eY6Vr9ex+rNdbzweh076psAKCosYOrIgXz3nBmcOWN0xJGKSLZKS/I3s0LgJuBIoAm42N3XJcz/OPAJoAX4trv/MR1xvPh6Hd975BUmDR/AzLGDmTGunKkjB1JclBnVrr3Nrazb3sDabfX/+nvljXq27t4HQEEBTB05kHdMHc7MseXMGDeY6aMH0a9EQzaIyMFJV8v/bKDU3eeb2TzgOuB9AGZ2CPAZYDZQCvzTzP7s7k09HUS/kiLa2uB3K7fwi2WbACjtU8j00YOYOW4wM8aWM3NcOZNHDExrT5l9+1up3NHAq9sSE30Dr+3cQywWPKakqJDJIwYwb/JQZowbzMxx5UwfPUgnckUkLdKVWY4HHgVw92VmNjth3hxgSZjsm8xsHTATeKang5gyYiC/XDyPtrYYVTWNQQllcx2rX9/Ffc++xp0VGwDoX1LEmMH9SEf6b2ppY/POPbSFSb64sIDJIwYwY1w57z96HHbIQKaOKuPQof0z5huJiOS+dCX/QUBdwv1WMyt295YO5tUD5WmKA4DCwgKmjBjIlBEDOXvW2CCgthjrdzSEB4M6ttfvS8uyiwoLOXvWWKaNGsi0UWVMHDaAkmIleRGJVrqS/26gLOF+YZj4O5pXBuxKUxydKiosYOqoMqaOKuP9x4zr7cWLiEQqXU3QJcCZAGHNf3XCvKeBd5hZqZmVA4cDL6YpDhER6UC6Wv4PAqeYWQVQAHzMzC4D1rn7Q2Z2I/AUwcHnq+6enpqLiIh0KC3J393bgEvaTV6TMP824LZ0LFtERLqmM48iInlIyV9EJA8p+YuI5CElfxGRPKTkLyKSh7Ji4JiXXnqp2sw2Rh2HiEiWObSzGQWx+MhiIiKSN1T2ERHJQ0r+IiJ5SMlfRCQPKfmLiOQhJX8RkTyk5C8ikoeyop9/oq4uDp/JzOw5govZAFQBPwFuILiQ/ePuflVUsXXFzOYCV7v7QjM7DLgTiBFci+FT7t5mZlcCZxGsz+fc/enIAu5Au3WYBfwReDWcfbO7/zpT18HM+gC3AxOBvsC3gZfJkv3QSfyvkV37oIhgNGIj2OaXAPvIkn3QXtYlf5JcHD6TmVkpUODuCxOmPQ+8H1gP/MnMZrn7yohC7JSZXQ5cADSGk34IfM3dnzSzW4D3hT/COxGYC4wHHgCOjSLejnSwDscAP3T36xIeczSZuw4fBmrc/QIzGwo8H/5ly37oKP5vkV374D0A7n6cmS0EvkNwvZJs2QdvkY1ln7dcHB6YnfzhGeNIoL+ZPW5mT5jZCUBfd6909xjwGPCuaEPsVCVwbsL9Y4C/h7cfIYj7eIJvLzF33wQUm9mI3g0zqY7W4Swz+4eZ/czMysjsdfgN8PXwdgFBizKb9kNn8WfNPnD33wGLw7uHElx+Npv2wVtkY/Lv8OLwUQXTDXuAa4HTCL4u3hFOi0v7hewPlLs/AOxPmFQQHrDgzbjb75eMWp8O1uFp4EvufgLBN68ryeB1cPcGd68PE+T9wNfIov3QSfxZtQ8A3L3FzH4O/Ai4hyzaB+1lY/JPdnH4TLYW+EXYGlhL8OYYmjA/kgvZH6C2hNvxuNvvl0xfnwfdfUX8NjCLDF8HMxsP/A24293vJcv2QwfxZ90+AHD3jwLTCOr//RJmZfw+SJSNyT/ZxeEz2UUE5ycwszFAf6DRzKaYWQHBN4KnIoyvO1aGNU+AMwjiXgKcZmaFZjaB4KBcHVWAKXjMzOaEt08GVpDB62Bmo4DHgS+7++3h5KzZD53En2374AIz+0p4dw/BwffZbNkH7WVDuaS9f7s4fMTxpOpnwJ1m9k+CngEXEbx57gGKCGqEyyOMrzu+ANxmZiXAK8D97t5qZk8BSwkaFZ+KMsAUXAr8yMz2A1uBxe6+O4PX4b+BIcDXzSxeO/8scGOW7IeO4r8MuD6L9sFvgTvM7B9AH+BzBNs9Kz8LGtVTRCQPZWPZR0REDpKSv4hIHlLyFxHJQ0r+IiJ5SMlfRCQPKflLzjOzhWZWF/7IKD7t+2Z2YYRhiURKyV/yRRNBH+2CqAMRyQTZ+CMvkQPxBG/+4ObHHT0g/CZwJsGvr6cQDP98p5nNAG4k+FFhDcEP9GYBl7j7B8PnbnX3Q8zsTmBY+HcWwRg2x4eLuNfdbwgf00QwvPFo4EJ3f87M7gAOIxgy4AZ3v7snN4BIIrX8JZ9cCnw+vB5BZ8rd/d3Ae4Erwmm3EYzTvhB4GLi8i+U84e4LgOOAScA8ggPAovBAArDR3U8jGCBscTjg2QkEI4+eDrR2d+VEukPJX/KGu9cQ/CT/53T+3n8+/P8aUBrePhy4ycyeJGj1j+3geYnlJE943lPhYH77gWXA9HBe/LoNrxFcn6I+jO1W4NcEFzwRSRslf8kr7v4HguR8YScP6Wi8Ewc+Erb8Lye4+tQ+gpINZnYobx2hNT7a5iuEJZ/wSlYLePOqVW9ZjpmNBo5x93MIykU/yJKhyiVL6c0l+ehzBKNIpupS4K4wGceA/yIYf36XmS0nSPJV7Z/k7n8MexotBUqA+8LafkfL2AocEg5Y2ApcmyVDlUuW0sBuIiJ5SGUfEZE8pOQvIpKHlPxFRPKQkr+ISB5S8hcRyUNK/iIieUjJX0QkD/1//hdBL03rWeEAAAAASUVORK5CYII=
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYQAAAESCAYAAAD9gqKNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3deZhcVZnH8W93Z9/JhhAxCVlewWEJyUjYg4JsKqAyStRhEQFXFEfFBRTHDQQRZFBBEURwRsQgqGwjy0AQZIsEJG9VIIms1UkgSVWWTnqZP84pcm27O9VJbnUtv8/z5EnVXc+53X3fe5Z7TkNHRwciIiKNfZ0AERGpDAoIIiICKCCIiEikgCAiIoACgoiIRAoIIiICQL++TkA9MLNJwLPAwrioCVgHnO3u81M431LgffHrOe7+vu637tVxvw6MdfdPdrP+u8A97n6Hme0B/BAYCbQBZ7j7Y2Y2IC4/KO52G/AFd28zs4uBW9393hLSshRoAdYTHmyagEvd/cqtz2G357oGeMrdLzKzBcAcd1+1HY47B7jc3f8lfu8Axrn7ii62nQD8CDjW3TvisgHA/wG/cfeL4rLRhOu7OzAY+Ja7X2dmw4Abgfe4+/oS0nYM8FVgCOE+8TTh9/WFbcv1P51n55j+/bfjMfcGznL3U8xsHPALYCLQDpzu7g92sU+328XfyxOAV+Pm7u7vN7OZhN/r07dX2vuaSgjls97d947/9gAuBq5J84Tu/uj2CgZbYmazgd1jMBgC3Alc6O4zgP8Ero+bfhIYB/wLsCewP/Bvcd03gB+a2eAST/vBeD33BI4ELjWzXbZPjroWz7fNwWArXAV8oxgMoh8AUzptdw3wQrzuhwGXmdkb3b0A/Irws+hRvElfC3zA3fdy97cAfwV+ve3Z+Efu/tJ2DgaNwM8IwQzgv4D73X134EPAjfH3s7OettufcC2Kf7/vj2l/DOhnZu/cXunvayoh9J0xwMvw+i/xJcBsYDjQAJzm7vPN7EDg+4Qn4A7gO+5+U3w6vAA4JK57Avi0u68pniD5BBqfctcAewC7AIsIv+QFM9sNuDSmqQm4zN2v7mV+vg5cHj+/A3jW3f8Yv98CLAFw9++b2Q/dvT0+lY0iPnm5+2ozmw+cHtPTGzsAa4FCzPupwBnAAGA08F13/5GZvYHwJDg27vcHdz837vMR4OOEB6WVwCfdfVHyJMWneOCdwPGEp8lpwEbg3939KTMbGdO/B9Af+BPweXdv7WWeiuecDYx390cTyz5MKH39IbFsNHA48AEAd3/BzPZl85Ptr4ELzOx77p7r4ZRjCddtWGLZD4AF8TwnAycSrtME4EXgJHd/Kab1QmAgsBNwl7t/JO73TuCbcb+1wJnAakLpa1gsgU6K+00ElgPvj8d9K3BFTNezcf3ZXZQm/w1Y4u4vmlk/ws/pE/F6LDCzLOHh4beJ69btdmb2B2AG8B9mNgVYDHzW3f8ed7+SUHL7fQ/Xs2qohFA+g81sQfy3jHDD+E5cty+wM7BffEK5Fjgnrjsf+L67zwROBd4Wl58DtAIz3X0v4CXgu1tIw0zCH8Nu8XwnxD+G3xCqlmYSAsx/xD/skpjZKEIV0J1x0XTgFTP7mZk9CtxF4uHD3TfF6qVngRxwf+JwtwLvKfHU18fruYgQEH/s7q/F6pGPAkfHJ+X3E25SxOXPufs+Mc3TzGykmR0CnAQcFPe5kMRNoxuHAJ+KVT7zgc/H5ZcAj8XrOYNwgz27xDx15X0kbjixOu4sQuBMmkp4yDjbzObHa7+Pu68DcPcNwAPA0T2dzN2fJJRInjCzv5nZVcC7gDsSmx0AfCL+vj4GXBaXnwWc5+77Eqqt3m1mM81sR+CXwMmxRPc9uv59PQg4wd3fDLwGnBF/R28Czo37XgbsXcK1Ggs0uvvyxPoXgDd22qen7XYG7ga+FM/5EPA7M2uI1+ohYIKZTe4mPVVFAaF8klVGE4E5wH+b2WR3/zOhiHuGmV1E+KUuPp39GvgvM7uecEP/clz+TuBYwh/tAuA4wh9gT2539xZ330RozxhNuHlPAa6Ox7mPUPc8oxd5mwq87O4b4/f+hJvOle4+i1Cn/UczG1jcwd3PITzVLyU8YRU9C1iJ5y1WGb2ZUOp5n5mdGKtH3gkcY2b/CXyFzdfzduC9ZvZHQgniHHdfDRwT8/FgvA4XAqPjU3d3HkvUqT9OuJ7Ec58Rj/MY8FZCaWFrvZnwZEosfVxHKI2s7bRdf2AysMbdDyCUFC6Jdd1FJV1fd/8c4Un9XEI7zfeA+8ysKW5yp7tn4uergCPi55OAUWb2ZcIT/RDCtT+AUBJYEI//W3c/qotT35so5T5BuKZ7xH1ui//fAzzVTdJfv1Z0f39r6/S92+3cfYm7H+1BB3AR4e9lUmK75yj9d7aiKSD0kdhg5cBbYwNesej/O+DHhGoj3P0nhD+Iuwh/dE/Gm0IToeFsb3ffm3DT2VJ7QbIxsSOeowlYlQhWexOqrn7ei+y0x+MUvQQscveHYx5+F9fvamYHmNn0uHwToc57n8S+TfzzH+wWuftLhKqpg83sjYTqjYmEJ+KvJrZ7hHDTvJLwR/0XM9s/nve6xDXYB5hFeErtTlfXs5iHExLH2pfQdrK1ktf3CEI12w0x4Lwb+KyZfYNw3SG2Tbn7YkL+35o41havr5m928xOcfeV7n6Tu3+aUKrcnc0PCsnqr8bEMe8nPAwsIrQJvUC4Lq2Ea1Q8R4OZ7dnF6bu6pq1svrZF3eUhea2a47l2SKyfENOU1O12ZrZnrJ5LagA2Jb5v1e9sJVJA6CPxpjid8BR0OKF3zY+ARwhP+01xuweBGe5+DaGKYBThyfoO4JNmNiC2QVzF5iqo3nBgg5l9KJ5vF8LT18we9/pHzwHjzWxQ/H4bMKn4ZGpmBxP+uJcQqrwuMbN+Md0fJBTJi3Yl3Ex6xcyGEq7jXwg38uXAN939DsITO2bWFKuqznX3mwnVG08Tfg53Aiea2U7xkGcS6v63xh2Em3RDLBXdwrYFhAzhuuDuv3b3SYlgcwtwibuf5+5LCCWVkwBiNc3+wKOJY5VyffPAd8wsWeKcDGwglDAA3m6h5xOEa3VrvKHOAr7o7r8l3FSnEn6XHwZ2M7O3xH2OJVQhleIZoMXMjoz5Kpa4uhqZM3mtWgkPWmfE/fYkBLV7kztsYbt2QsN8sUroY8CTxZJhrDqaRPg7qnoKCOWTbENYQKi3Pz0Wu38MHGJmTwJ/JvzRTY43zC8A3zCzJ4B7gPPdfSmht8hSQkD5G+Gp5XO9TVSs5jkWOC2e/07CDbPk7rAeet3cDxwav79CCGpXmNlThDr198Q67AuAZYReK38lPP19KXG4IwndIzGzM83spz2cutiG8AThOvze3X8e8/AC4HHdmwgBYiqhcXTvmK5HCUHqVzFwXADcFa/D3JjmrRkO+NPAUEK13JPx/wt73KNnvyFcl1IcD7zDzJ4m3NC+EUtFxOC0H6GdBjP7o5m9u/MBYpXMJ4FrzSxrZs8Q2ryOdfdiiekF4Lq4bhLwmbjuO8Djsf3iS4S2lamxEfuD8ZgLCG0qHyglQ/GG/V7g6/Hn+TngFULX7c46X6uPAwfEn/f1wIdjFWHn/He5nbs/BXyKEPCeidf3xMTxZxE6UPydGtCg4a9le4jVLl9x92O24RgjCTeQWe6+wcyGAz/12M2vnpnZnYTr+8g2HONk4C3u/vn4/aPACneftxXHeZ+7l627pZl9D7jI3XOxFPtXYFfv1AU4tnE8Bhzj7i+WIV3XADe6+x+2tG01UAlBtotim0ixWL+VvkZ40twQv+8dl0moLvxasXdLb8XgOpfQPbiolerpLrkM+FMsIdxK6Jb9T++DuHsboSfZt9NOkJnNAtprJRiASggiIhKphCAiIoACgoiIRFU9dMW+++7bMWHChC1vKCIiADz99NMr3H1cV+uqOiBMmDCB3/52S6MLiIhIkYWhc7qkKiMREQEUEEREJFJAEBERQAFBREQiBQQREQEUEEREJEqt26mFqfsucPc5nZa/CziPMI7K1e5+lYU5dH8JjCcMvXtSp9mLREQkZakEBDP7AvBhwrypyeX9CUMh/2tcN9/MbiEMi7vQ3b9uZh8gTGhyVhppqxR/WfIqD2QV80Sk92a8aQcOffP47X7ctEoIzxLmxb2u0/LdgMXFMdXN7AHgYOBANo8Xfxth2r6adv6tT/P0S2to2KqxK0Wknr1j9x2rJyC4+01mNqmLVSOA1YnveWBkp+XFZTWrrb2Dxc0FPnrQZL5yzJamQRYRKY9yNyqvAYYnvg8HVnVaXlxWs/7+6jpaWtuZtuPwLW8sIlIm5R7L6BlgmpmNBgqE6qKLCJOhH02YD/cownSMNSuTywMwXQFBRCpIWQKCmc0Fhrn7lWZ2NmES8kZCL6MXzexHhLlWHwA2EmZ2qlnZGBCmjR/WxykREdkstYAQJ4KfHT/fkFh+K3GS78SydcAJaaWl0mRyBSaMGszQgVU92KyI1Bi9mNYHMrk803dU6UBEKosCQpm1trXz3PK1aj8QkYqjgFBmy15dx8Y29TASkcqjgFBm2dd7GKnKSEQqiwJCmWVyBQCmqoeRiFQYBYQyy+Ty7DJ6MEMGqIeRiFQWBYQyy+YKTB+v9gMRqTwKCGW0qa2d51YU1KAsIhVJAaGMlq1cy6a2DjUoi0hFUkAoo2KDst5BEJFKpIBQRplcnoYGmDJOJQQRqTwKCGWUzRV40+ghDB7Q1NdJERH5JwoIZZTJ5ZmmHkYiUqEUEMpkY2s7S1asVYOyiFQsBYQyWbpyLa3tHWpQFpGKpYBQJsVZ0qaphCAiFUoBoUwyuQKN6mEkIhVMAaFMsrk8E8cMZVB/9TASkcqkgFAmoYeRSgciUrkUEMqgpbWNpSvXqUFZRCqaAkIZLFmxlrb2DjUoi0hFU0AoA41hJCLVQAGhDLK5PE2NDew6bmhfJ0VEpFupTNtlZo3AFcBeQAtwmrsvTqz/InAisAa40N1/b2ajgQzwVNxsnrtfmkb6yi2TyzNxzBAG9lMPIxGpXGnN43gcMMjd9zOz2cDFwLEAZrYHMBfYN277oJndDewD/MrdP5VSmvpMNldQdZGIVLy0qowOBG4HcPeHgFmJdbsB97r7BnffAGSBPYGZwEwzu8/MbjSznVJKW1lt2NTG0pUaw0hEKl9aAWEEsDrxvc3MiqWRhcDBZjbczMYA+wNDgUXAee5+CHAz8MOU0lZWzy1fS3sHmjZTRCpeWgFhDZC8Aza6eyuAuz8DXE4oQVwOPAysAO4G7onbzwNmpJS2sso2hzGMVGUkIpUurYAwHzgaILYhLCyuMLNxwHB3PwA4E9iF0JD8U+C9cbO3A4+llLayyuTy9GtsYPJY9TASkcqWVqPyPOBwM3sQaABOMbOzgcXArcBuZvYIsBH4vLu3mdk5wNVm9nFgLXBaSmkrq0yuwKSxQxnQTz18RaSypRIQ3L2d8PSftCjx+Ywu9lkCHJpGevpSNpdn951H9HUyRES2SI+tKdqwqY1lr67TtJkiUhUUEFK0uLlAR4calEWkOiggpGhzDyO9gyAilU8BIUWZXIH+TQ1MUg8jEakCCggpyubyTB47lP5NuswiUvl0p0pRJlfQG8oiUjUUEFKyfmMbz7+2junqYSQiVUIBISWbexipQVlEqoMCQkoyudDDSFVGIlItFBBSkmnOM6CpkUljhvR1UkRESqKAkJJsrsCu44bSTz2MRKRK6G6Vkkwur+oiEakqCggpWNvSyguvrWf6eDUoi0j1UEBIweLmAqAGZRGpLgoIKSj2MFKXUxGpJgoIKcg2FxjQr5GJYzSGkYhUDwWEFGRyeaaMG0ZTY0NfJ0VEpGQKCCnI5gqqLhKRqqOAsJ0VWlp5cdV6TYojIlVHAWE7yxaHrFCXUxGpMgoI21k2F7qcqoQgItVGAWE7y+TyDOzXyC6jNYaRiFQXBYTtLNNcYOp49TASkeqjgLCdZXN5VReJSFXql8ZBzawRuALYC2gBTnP3xYn1XwROBNYAF7r7781sLHADMBh4CTjF3delkb60rNmwiZdXb2CaupyKSBXqMSCYWQNwDDAHGAM0A38C7nL3jh52PQ4Y5O77mdls4GLg2HjMPYC5wL5x2wfN7G7gPOAGd7/GzM4BzgAu2dqM9YXXG5Q1baaIVKFuq4zM7G3A/wKHAE8Snt4fA44A/tfMDuvhuAcCtwO4+0PArMS63YB73X2Du28AssCeyX2A24Cejl+Rsq+PYaSAICLVp6cSwjTgHe7e1mn5r82sCTidEDC6MgJYnfjeZmb93L0VWAh8ycyGAwOA/YErO+2TB0b2KicVIJMrMLh/E2/cYXBfJ0VEpNe6DQju/pMe1rUBP+rhuGuA5GNyYwwGuPszZnY5oTTwd+BhYEVin/Xx/1Ul5qFiZJvzTB0/jEb1MBKRKpRWL6P5wNEAsQ1hYXGFmY0Dhrv7AcCZwC7AU8l9gKOA+1NKW2rCLGlqUBaR6tRtCcHM7gEGdlrcAHS4+/5bOO484HAzezDuc4qZnQ0sBm4FdjOzR4CNwOfdvc3Mvglca2YfJZQY5m5VjvrI6vWbyK1pUfuBiFStntoQzgGuAo4HWntzUHdvJzz9Jy1KfD6ji31ywJG9OU8lyWpSHBGpcj21ITxsZtcBe7r7vDKmqSplYpfTaepyKiJVqsf3ENz9e+VKSLXL5PIMGdDEhFHqYSQi1amnNoSDu1vn7v+XTnKqV7Y5zzT1MBKRKtZTCeFjic+HAncTG5UBBYROMrkCh0wf19fJEBHZaj21IZxY/Gxm97h7VfX6KadV6zayPN+iBmURqWqlvofQ07hFde/1BmV1ORWRKqbhr7eDjMYwEpEa0FOj8nfYXDKYYmbfLq5z9y+nnbBqks3lGTawHzuPHNTXSRER2Wo9NSonXyQ7L+2EVLNMLsyS1tCgHkYiUr16alS+tpwJqWbZ5jxve/P4vk6GiMg22dJYRh2ErqZFxSqk4phGb0sxbVXh1bUbWVHYqPYDEal6PZUQDi1nQqpVsUFZPYxEpNr1VEIYA5wLvJ0wWc0qwpDU57t7c3mSV/k0qJ2I1Iqeup1eC/wZOACYSJji8n7CVJoSZXIFhg/sxxtGqIeRiFS3nnoZjXD3/0l8XwP8t5l9IuU0VZXipDjqYSQi1a6ngNBsZucRprpcTZjW8hjg5XIkrFpkmwu8Y/cd+zoZIiLbrKeA8CHCAHdfBEYQSgjzgZPKkK6qsKLQwqtrN6pBWURqQk8BYTxwU/yXNA74e2opqiIZNSiLSA3pKSD8D5vfQ9gN+Bubh7/e0pzKdSEbB7XTOwgiUgt6eg9hv+LnOPy13kvoJJPLM2JQP8YPH9jXSRER2WYa/nobZHMFpu84XD2MRKQmaPjrrdTR0UGmOa8GZRGpGT29qXx6/NgATEh8x92vTDthlW55oYVV6zapQVlEakZPjco7JT7fkPiu6iPUoCwitaenRuXzAczsMGChu+dKPaiZNQJXAHsBLcBp7r44sf5zwFygHfi2u88zswbgBSAbN/uzu3+pl/kpm82D2qmEICK1oacSQtK1wJG9OO5xwCB338/MZgMXA8cCmNko4CxgKjAUWADMA6YAj7v7u3pxnj6TyRUYNaQ/44aph5GI1IZSGpUHxH+9cSBhyAvc/SFgVmLdWmAZIRgMJZQSAGYS2iruMbM/mpn18pxllc3lmT5ePYxEpHaUEhDOBHo7h/IIwvhHRW1mliyNPE940e1x4LK47GXgO/F9h28Dv+zlOcumo6Pj9UHtRERqRSkBYQTwl14edw1hMLzXz+PurfHzUYQG6snAm4DjzOytwKPA7wDc/QFg59iuUHGa8y2s2dCqBmURqSmlBIQLCDfx3pgPHA0Q2xAWJta9BqwHWtx9A2HinVHA14DPxH32Ap5394rs0aQGZRGpRT29h3Ccu9/s7rd1s/54d5/Xze7zgMPN7EHCewynmNnZwGJ3vyX2XHrIzNqBB4C7gEeAX5rZMUArcPJW5yplGXU5FZEa1FMvoyFmdhtwJ/AkkCM8yc8GjgB+0d2O7t5OaHtIWpRY/zVCiSDpNcJ8CxUvm8szeugAxqqHkYjUkJ7eQ7jBzG4GPgicCowFmoF7gePdvVCWFFagTC7PtPGqLhKR2tLjewjuvg64KgaGKUDG3V8tS8oqVEdHB9lcgeNmTOjrpIiIbFdbbFQ2s48RGom/CPzZzD6Ueqoq2CtrNpBvadUYRiJSc0rpZXQ6sKe7Hw/MILxlXLeKDcoa5VREak0pASFH6PUDobvoyvSSU/myr0+bqYAgIrWllLGMGoEFsQvpDKC/md0A4O5z00xcJcrk8owdNoDRQ3s7moeISGUrJSB8K/H5+rQSUi0yuQLTxqt0ICK1Z4sBwd3vK0dCqkFHRweLmwu8dx/1MBKR2qMpNHvhpdUbKLS0qkFZRGpSKd1ODy1HQqpBRg3KIlLDSikhnJ96KqrE5h5GegdBRGpPKY3KHWY2D3DiZDbu3tv5EWpCJldg3PCBjBqiHkYiUntKCQhXp56KKpHN5VU6EJGaVUqV0fVAf8JYRsuAP6SaogrV3t5BtlldTkWkdpUSEH5MmNnscMIsaN0Oe13LXly1nnUb29SgLCI1q5SAMMXdzwM2uPutwMiU01SRss1qUBaR2lZKQOhnZmMJjcvDiQ3L9UaD2olIrSulUfkrhOGvdwIeok5HO83k8uw4YiAjB/fv66SIiKSilBLCRnc3QqPyv7j7/6acpoqUzRXUfiAiNa2UgHCqmT0KnAfMMbO6G+6ivT2MYaQeRiJSy0oZ3O50ADM7CLiQUFIYn3K6KsoLr61n/aY2NSiLSE3bYkAws88AbwfGEdoSvpZ2oipNcQwjNSiLSC0rpVH5CGAH4CbgDnd/Mt0kVZ5MczEgqIQgIrVri+0B7n4UMAd4CrjUzF5OO1GVJpsrsNPIQYwYpB5GIlK7Sqkyeg9wNLAP8ChwQQn7NAJXAHsBLcBp7r44sf5zwFzCOw3fdvd5ZjYY+CWhfSIPnOTuy3udoxRkcnlVF4lIzSulx9CBwDXuvo+7n+7ut5ewz3HAIHffDzgHuLi4wsxGEd5l2A94B/CDuOpjwEJ3P4gwPMZXS89GetpiD6Pp41VdJCK1rZSAcAlwlpk9bWbzzGxSCfscCNwO4O4PAbMS69YSBskbGv+1d94HuA04rITzpO75V9fR0tqudxBEpOaVEhCuBK4DDgCuBX5Wwj4jgNWJ721mlqyeeh74G/A4cFkX++SpkDGTNvcwUglBRGpbKb2MBrn7LfHzzWb22RL2WUMYGbWo0d1b4+ejCMNgTI7f7zCz+Z32GQ6sKuE8qcs2awwjEakPpQ5utwdA8f8SzCc0RGNms4GFiXWvAeuBFnffQLjxj0ruQwga95d4rlRlcnkmjBrMsIGlxE4RkepVyl3u08DVZrYT8BLw0RL2mQccbmYPAg3AKWZ2NrDY3W8xs8OAh8ysHXgAuCv+f62ZPQBsJPRC6nOZXEHVRSJSF3oMCGY2AnB3/9feHNTd24EzOy1elFj/Nf75jed1wAm9OU/a2to7eHZ5gYOmje3rpIiIpK7bKiMz+yTwV+CvZnZE+ZJUOZatXMtG9TASkTrRUxvCXMAI7wt8pjzJqSzFSXE0qJ2I1IOeAsIGd9/o7iuAAeVKUCXJxi6nU/VSmojUgVLnNmhINRUVKtNcYJfRgxkyQD2MRKT29XSne4uZ3UAIBsXPALh7RfQASls2l2e6JsURkTrRU0D4t8TnH6edkErT2tbOc8vXMsfqai4gEalj3QYEd7+vnAmpNEtXrmNjW7salEWkbtTd/MilKjYoq8upiNQLBYRuZHIFGhpgyjiVEESkPiggdCPTnOdNo4cweEBTXydFRKQsFBC6kc3lmaYeRiJSRxQQurCprZ0lK9aqQVlE6ooCQheWrljLprYONSiLSF1RQOhCcQwjDXstIvVEAaELmVyeRvUwEpE6o4DQhWxznoljhjKov3oYiUj9UEDoQiZXYJpGOBWROqOA0MnG1naWrlirBmURqTsKCJ0sWbGW1vYONSiLSN1RQOgkozGMRKROKSB0ks3laWpsYNdxQ/s6KSIiZaWA0EkmV2DimCEM7KceRiJSXxQQOsk0a5Y0EalPCggJLa1tLFu5TmMYiUhdSmX2eDNrBK4A9gJagNPcfXFctzfwg8Tms4HjgL8AGeCpuHyeu1+aRvq689zytbS1dzBNDcoiUodSCQiEG/wgd9/PzGYDFwPHArj7AmAOgJmdALzo7reb2WHAr9z9UymlaYvUw0hE6llaAeFA4HYAd3/IzGZ13sDMhgLnAwfHRTOBmWZ2H9AMfNrdX04pfV3K5gr0a2xg8lj1MBKR+pNWG8IIYHXie5uZdQ4+HwFudPcV8fsi4Dx3PwS4GfhhSmnrViaXZ9LYoQzop6YVEak/ad351gDJepdGd2/ttM0HgZ8mvt8N3BM/zwNmpJS2bmWbC2pQFpG6lVZAmA8cDRDbEBYmV5rZSGCguz+fWPxT4L3x89uBx1JKW5c2bGpj2cq1mjZTROpWWm0I84DDzexBoAE4xczOBha7+y3AdGBpp33OAa42s48Da4HTUkpbl55dXqC9Qw3KIlK/UgkI7t4OnNlp8aLE+kcIPZGS+ywBDk0jPaXIxlnSVGUkIvVKradRJpenf1MDk9TDSETqlAJClMkVmDx2KP2bdElEpD7p7hdlm/N6Q1lE6poCArB+Yxt/f3WdBrUTkbqmgEDoYdTRoQZlEalvCghsHsNIVUYiUs8UEAgNygOaGpk0ZkhfJ0VEpM8oIBCmzdx13FD6qYeRiNQx3QEJs6SpukhE6l3dB4R1G1t5/tX1TB+vBmURqW91HxAWN4chK1RCEJF6V/cBIaMxjEREAAUEsrk8A/o1MnGMxjASkfpW9wEhk8szZdwwmhob+jopIiJ9SgEhp1nSRESgzgPC2pZWXly1XpPiiIhQ5wEhW+xhpC6nIiL1HRCKYxiphCAiUucBIZvLM7BfI7uM1hhGIiJ1HRAyuQJTx6uHkYgI1HlAyObyqi4SEYnqNiDkN2zipdUbmKYupyIiQB0HhGIPI02bKSIS1MrfIx4AAAalSURBVG9AUA8jEZF/0C+Ng5pZI3AFsBfQApzm7ovjur2BHyQ2nw0cBzwK3AAMBl4CTnH3dWmkD0KD8uD+Tbxxh8FpnUJEpKqkVUI4Dhjk7vsB5wAXF1e4+wJ3n+Puc4D/Am5y99uB84Ab3P0g4AngjJTSBoR3EKaOH0ajehiJiADpBYQDgdsB3P0hYFbnDcxsKHA+cFbnfYDbgMNSShsA2VxBDcoiIglpBYQRwOrE9zYz61w99RHgRndf0cU+eWBkSmlj9fpNvLJmg9oPREQSUmlDANYAybtto7u3dtrmg8D7uthnffx/VUppY3FzsUFZJQQRkaK0SgjzgaMBzGw2sDC50sxGAgPd/fmu9gGOAu5PKW2vz5I2TV1ORURel1YJYR5wuJk9CDQAp5jZ2cBid78FmA4s7bTPN4FrzeyjwApgbkppI5PLM2RAExNGqYeRiEhRKgHB3duBMzstXpRY/wihJ1JynxxwZBrp6SybKzBNPYxERP5BXb6Y9uzyAtPUoCwi8g/SqjKqaGccvCuzJo3u62SIiFSUugwIJx8wua+TICJSceqyykhERP6ZAoKIiAAKCCIiEikgiIgIoIAgIiKRAoKIiAAKCCIiEikgiIgIUOUvpj399NMrzGxZX6dDRKSKTOxuRUNHR0c5EyIiIhVKVUYiIgIoIIiISKSAICIigAKCiIhECggiIgIoIIiISFTV7yFUIzPbF7jA3eeY2VTgGqADeAr4RJyPuqqYWX/gamASMBD4JvA3aiBvAGbWBFwFGCE/ZwIbqJH8AZjZeOAx4HCglRrJm5k9DqyJX5cAPwEuJeTxTnc/v6/Stj2Y2ZeAdwMDgCuA+9iGn51KCGVkZl8AfgoMiou+D3zV3Q8CGoBj+ypt2+hDwMqYjyOBy6mdvAG8C8DdDwC+CnyLGspfDOg/AdbHRTWRNzMbBDS4+5z47xTgx8Bc4EBgXzOb0aeJ3AZmNgfYHzgAOATYhW382SkglNezwHsS32cSIjrAbcBhZU/R9nEjcG783EB4+qqVvOHuNwOnx68TgVXUUP6Aiwg3ypfi91rJ217AEDO708zuNrODgYHu/qy7dwB3UL15AzgCWAjMA24Ffs82/uwUEMrI3W8CNiUWNcRfTIA8MLL8qdp27l5w97yZDQd+Q3iKrom8Fbl7q5ldC/wQuJ4ayZ+ZnQwsd/c7EotrIm/AOkKwO4JQzffzuKyomvMGMBaYBZxAyN/1QOO2/OwUEPpWsm5vOOHJsyqZ2S7APcB17n4DNZS3Inc/CZhOaE8YnFhVzfk7FTjczO4F9gZ+AYxPrK/mvGWAX7p7h7tngNXA6MT6as4bwErgDnff6O5OaNdKBoBe508BoW89EesBAY4C7u/DtGw1M9sRuBP4ortfHRfXRN4AzOzDsfEOwhNmO/BoLeTP3Q9290PcfQ6wAPh34LZayBsh2F0MYGY7A0OAtWY2xcwaCCWHas0bwAPAkWbWEPM3FPjTtvzs1Muob30OuMrMBgDPEKpbqtGXgR2Ac82s2JZwFnBZDeQN4LfAz83s/4D+wGcIeaqFn11XauX38mfANWb2AKHXzamEYH490EToZfRwH6Zvm7j772O7yF8ID/efIPSk2uqfnUY7FRERQFVGIiISKSCIiAiggCAiIpECgoiIAAoIIiISKSBI3TKzOWa2Or5UV1z23fj2rkjdUUCQetdCeMegoa8TItLX9GKa1Lu72fxSz+VdbRBLDEcT3nSdQhi+/Boz2wO4jDCg30rCi08zgDPd/QNx31fc/Q1mdg0wJv47hjDe04HxFDe4+6VxmxbCMOI7ASe7++Nm9nNgKmG4jEvd/brteQFEilRCEIGPAZ+N81N0Z6S7v5Mw9vw5cdlVhPHm5wB/BL6whfPc7e7F4YonA7MJQWFuDC4Ay9z9CMIgeqfHAQMPJoySeyTQ1tvMiZRKAUHqnruvJAxHcS3d/00siP8/z+b5LHYDrogDw50KTOhiv2RVlCf2uz8OurYJeAjYPa57Inked8/HtF0J/A9hAiKRVCggiADufivhhn1yN5t0NcaLA/8eSwhfIIxHv4FQ3YOZTeQfR9csjgD7DLG6KE5Osz+Q7eo8ZrYTMNPdjydUNV1oZqrqlVToF0tks88Ab+/F9h8DfhFv0B3AR4DngFVm9jDhxr+k805xULI5ZvZnwtSHv45tBV2d4xXgDWb2IKG66CJ3b+1NpkRKpcHtREQEUJWRiIhECggiIgIoIIiISKSAICIigAKCiIhECggiIgIoIIiISPT/Nc0phmU2kDMAAAAASUVORK5CYII=
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAX8AAAESCAYAAAAVLtXjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3deXxddZ3/8VfW7ulGKd2BAh9Z29IKLSAUZZFFKaiM4jLIIOLyAMQfiIOKODqOMOioM4gyIMjAT5BaZMcFGLBQhdJ0AfqpRWzSvTQkaZombZI7f3xP2mvIctPm5N5z7/v5ePTRe8+5y+fkJO/zvd/zvd9TlEqlEBGRwlKc7QJERKT/KfxFRAqQwl9EpAAp/EVECpDCX0SkACn8RUQKUGm2CyhkZnYg8AawPFpUAjQCV7v7whje72/Ah6O717n7h7t+dK9e95vAfu7+RTObC/ynux/VxWPPAk5y9+vTlh0ELAbOcPeXo2VHAz8GhgOtwGfdfbGZzYxuX5ZBXcOBO4B3ERo6d7v796J1hwJ3AqOBBuBT7r6yk9d4NtqeB9OWHQiscPehPdXQ1bab2anAzUAZsAO4wt3/HD1uPjAtqgvgGXf/kpmdB0xz929l+H5TgBuBE4Bd0Xv9Cvimu+/q5PEfBE5z9ys6WbcC+KK7P9ubbe5LZnYP8D13X2FmlwDXEDLs94Sf3zu2KXreAOBR4Kft+9HMrgTedvdf9E/1uUct/+zb4e7To39HA7cAd8X5hu7+cl8Ff2+Y2TDgJuA7acsGAv8DlKctGwz8FrjJ3WcA/wLcC+Dui4FSMzs3g7f8F2BtdCB6N/A5M5sTrbsX+Im7HwHcAMw3s6J93MQupW+7mZUD9wOfcfdpwLeBe9IePgc4Oe334ksA7v4b4D1mNj2D95sALAIWAubuRwLHEg6Et3T2HHd/uLPgzwVmdiFQFwX/UYSD2smAASOAL3XxvDmEn8NJHVb9J3CVmR0QX9W5TS3/3DMa2ABgZsXAD4DZwDCgCLjU3Rea2UnA9wmfFlLAd919fhQs3wNOidYtIbSK6tvfIL11bmZ3AfXA0cAkYCXwUXdvMLPDgR9GNZUAP3L3O/dh274APOXujWnL/otwsLs+bdkZwBvu/nh0/2HgzbT1PwN+QmjNdefKqG6AccAAoC4KxncBvwRw9yfM7CfADOCV3myQmX0HOCe6WwQcQ9hHd3R46N9tu5lNcPdd0QHnYGBrtPwgwr6+LfqEsRj4srvXRK9zB+FgdX4PpV0HzHf329sXRPv0i0Sf/szsYuCfgCFAHXA38GF3P9fMjiB8MhpM+J0YEj3nQOAPwOPA8cAo4Hp3vz9afz3wIULD8m/A5919vZldAHwNaCN8krvG3Z/rankn23Mj8JHo9nnAw+6+JXrPnwI/IhxcO7oiev1r0he6e6uZPQB8hS4OHPlOLf/sG2RmldG/NYSw/W607nhgPDAnaqHeTfijhvDH8H13nwlcArw3Wn4d0ALMjFqV64F/66GGmcD7gcOj9/uImZUCDxK6h2YSDib/z8xm78O2fpi0wDazS4Gy9ICKHAZsNLM7zOxl4HekNVTcfREwIQrKLrl7yt1bzOx/gBXAs4ATDnLr3b0t7eFrgYldvNTNafuokhB87e9xfXsLHXgy2r67etr2KPjHRu97M3uCa39CN8ZnCQejBkIIt3sMONPMBnW37cB7gKc6LnT3De7+47RFRwJz3f3UDg+9F7jd3Y8h/E5OSVt3MOFAdhwhPG8CMLNPERoRx0U/j8eB/46eczPhQDAL+Dowt4flu0Ut/UHuviJaNAmoTntIl/vO3T/m7o91tg54BLigi3V5Ty3/7NsR/aEAYGYnAE+Y2XR3f9HMvgZ81symEv4wtkUPfQD4LzP7ACEs/jlafi7hY/DpZgahO2VzDzU86e7N0fsvJ7TmDgOmAndGrwMwiBBIi/ZyW98FrI7e51jgcsJH947KgLOBU939T1Ff9+NmNqW9TuCvhI/8b3by/L/j7p8ws8uB+cA36CQUI61dLL+msz7/9AeY2RXA+4BT3L2z19m97Wl1bSIcxI4F/mBmr7n7n0hr1UfnUzaaWbm773T3bWZWTwjjd5yjSFNE+ETY/jrXAB+P7h4AHBHdXpb+qTB67GjCJ5hfRHUujPr82+1izwHwFcLvC4TfveOAl6PfmRLCJwcIn7IWmNljhIP5TT0sT9fxZ9dZo7WrfdedN4DJZjbQ3Zv24vmJppZ/jnH3Fwit0+PM7BxCSw/gN8BthD9q3P2nhFbW74AzgWXRCc4S4Mq01uhx7DnJ25UdabdT0XuUALVp/c7TCd1PP9+HzWtjTzfMp4AK4IWoNT0euDc66bgeWBkFYXtfdwmhxdmuhB7+4M3sTDMbH71GA/D/Cf3eVcABHfr4JxBakL1mZh8BrgLOdfftXTxs97ab2XAz2x3w7v4KsBQ42szeE/0M2hWxp0ukXY/bDrxAWiva3W9O249j2fO339DJc9sPGuk/n5a02zvTPjWl0h5XQjgh2/4+s4ATo/e/Prr9MnAx8KKZFXe1vEM96b83EPbfuLT7e7vv2rtM23p6YD5S+OcYMzuM0OpeApwOPOLuPwFeAuaxJ0BeAGa4+13AZYTW/khCq/aLZlYe/RHdzp5upN5woMnMPhG93yRCa3fm3m8dq4gC3N2vcvfD0oJiPfBxd38YeAI4MBrZg5mdTPgjfTO6XwQcGNXYnQuBG8ysKBrxcSHwtLuvJbT6/iF6vTMJAbC8y1fqgpmdQuhvPtfdN2ay7YTgvtPMToxe40hC6/ZPwFDgx2bW3pq+Bniw/dNEdIAfRAjA7nwHuNDMPmVm7b8zJdGJU+gm8KLzC4uBS6PnHUtoaPTkKeBSM6uI7n8LuMfMSi2MNBvi7rcBnyd0MZZ1tbzD66b/7CCcA/qgme0f/S5cBjyUQX0dHQy86e479+K5iafwz770Pv9KQj/7Ze6+itDSP8XMlgEvEgLroCjUrwW+ZWZLgGeAG939b4QRLn8jHDxeI7TKvtzboqI/iPMIf8zLCKNvvu77NgT1QcK5hZ7eeyPhQHdr1N3wA+CCtI/mswgnhKvMbHz0sxvfyUt9mTBUdDmhZbmY0H8N8FHg8uj1vwN8pMM5gEz9jBCk96Ttx86GYu7e9uhTyDzgP6J9fidwkbuvdfcnCAeThWbmhK63L6a9zhnAo+7ebGazoue/Q3SAm00Y5bIk+j15jdClNDvtBHJXPgZ8NOoG/Drwes8/Cv6bcF5jkZm9Sug6utjdWwifjO4zs1cIw00vibrwulqevi0rgB0WBiDg7ssIB5anCV1frYRBDpjZB83scTLz/ug9C1KRpnSW/hK1CBcBszqM+Ont69wF/Kr9RJ6F8d9XufvWPik0Bn247U8TtnVZdP8xdz+nh6clnpldRPiOxOf76PVKCOcrzojOvRQctfyl30QnFr9KaEnuFTObBbSlBf9gwsiTnA1+6LNtPx94Pi34JwC39k2Fuc3d7wNGW/jyX1+4AviPQg1+UMtfRKQgqeUvIlKAFP4iIgUoEV/yOv7441MTJkzIdhkiIony6quvvuXuYzpbl4jwnzBhAr/+9a+zXYaISKJYmDKmU+r2EREpQAp/EZECpPAXESlACn8RkQKk8BcRKUAKfxGRAhRb+JvZ8RYuft1x+QfM7CUze9HMPhPX+4uISNdiGedvZtcCnwS2d1heRpie993RuoVm9nAhT64ke6e2cSePL9/IxrodPT9YJKEGlJXw8eMnM2JweZ+/dlxf8nqDcG3MezosPxxY7e5vA5jZHwmX8SvYObUlc7ta23jWtzB/8VqeXrmZna1h+v2ioh6eKJJQA0qLOWHqaGZMTkj4u/v86DqnHVUAdWn3txEutiHSqVQqxavr65n/yloerlzP1u07GT2knE/MnsKHZk7giHEVFCn9RXqtv6d3qAeGpd0fBtT2cw2SAJvrm3ioch3zF6/DN22jvKSY047Ynw8dO5GTDxtDWYnGKojsi/4O/9eBQ6PrkzYQunz+vZ9rkBxU27iT1zbU8/qGbTy3agvP/2ULbSmYMXkE3553FB84ZjzDB3e8tKuI7K1+Cf/oEmxD3f1nZnY14ULPxcCd7r6uP2qQ3NDWlmJNTSOvb6jntfX1vL4h/Ftf17T7MRNHDuLzcw/h/GMnMHXM0CxWK5K/Ygv/6GLis6Pb96UtfwR4JK73ldzTuLOFm550lq2tZeXGbTTubAWgpLiIqWOG8O6DRnHEuAoOj/6NGTYgyxWL5L9ETOksyfbMyi3c9cLfOHbyCC6cNWl30B86digDy0qyXZ5IQVL4S+wqq9+mvLSYX142h/JSnagVyQX6S5TYVVbXcuT4CgW/SA7RX6PEaldrG8vX1TF90ohslyIiaRT+EqtVm7bRtKtN4S+SYxT+EqvK6vAdPoW/SG5R+EusKqtqGTWknMmjBme7FBFJo/CXWFVW1zJt4nDNvyOSYxT+EpttTbtYvaWB6ZNGZrsUEelA4S+xWb62jlQKpk3SxK0iuUbhL7FZopO9IjlL4S+xqayu5aD9hsRyFSIR2TcKf4lFKpWisrpWrX6RHKXwl1hsqGtiy7Zmpk1Uf79ILlL4Syx2f7lrskb6iOQihb/EorK6lvKSYg4fN6znB4tIv1P4Sywqq2s5YnwFA0o1X79ILlL4S59raW1j+VrN5CmSyxT+0udWbWpgx65Whb9IDlP4S5/TTJ4iuU/hL31uaXUtIwaXMWW0ZvIUyVUKf+lzYSbPEZrJUySHKfylTzU0t7Bq8zZ1+YjkOIW/9Klla2tJpWD6ZIW/SC5T+EufWlpdB8D0iQp/kVym8Jc+VVn9NlNGD2bkEM3kKZLLFP7SpzSTp0gyKPylz2yo28Gm+maFv0gCKPylzyzVl7tEEkPhL31mSXUtZSVFHD6uItuliEgPFP7SZyqrajliXAUDyzSTp0iuK43jRc2sGLgVmAY0A5e6++q09V8GLgLagH919wVx1CH9p7UtxfJ1dXxk5sRslyIiGYir5T8PGOjuc4DrgFvaV5jZCOBKYA5wBvAfMdUg/egvm7fRuLNVX+4SSYi4wv8k4EkAd18EzEpbtx1YAwyJ/rXFVIP0o8qq9pO9umyjSBLEFf4VQF3a/VYzS+9iqgZeA14BfhRTDdKPKqtrGT6ojAM1k6dIIsQV/vVA+sVbi929Jbp9FjAOOAiYDMwzs+NiqkP6SWV1LdMmaSZPkaSIK/wXAmcDmNlsYHnaureBHUCzuzcBtYA6ihNse3MLqzZpJk+RJIlltA+wADjdzF4AioBPm9nVwGp3f9jMTgMWmVkb8EfgdzHVIf1g+bo62lIwQ+EvkhixhL+7twGXd1i8Mm39DcANcby39L/2yzYeM3F4lisRkUzpS16yzyqrapk8ajCjhw7IdikikiGFv+yzpWs1k6dI0ij8ZZ9sqm9iQ12Twl8kYRT+sk+WRF/umqbwF0kUhb/sk8poJs8jx2smT5EkUfjLPllaXcvhmslTJHEU/rLXUqkwk+c0XaxdJHEU/rLXtjQ009DcwiH7D812KSLSSwp/2WvVNY0ATB6lydxEkkbhL3utKgr/SQp/kcRR+MteW7O1kaIimDhyULZLEZFeUvjLXquqaeSAioEa6SOSQAp/2WvVNY3q8hFJKIW/7LU1WxuZovAXSSSFv+yVHTtb2bytWSN9RBJK4S97Ze3b0TBPXbNXJJEU/rJX1mzVGH+RJOv2Sl5mVgScA8wFRgObgT8Av3P3VOzVSc6q0he8RBKty5a/mb0X+D1wCrAMuA9YDJwJ/D66Dq8UqKqaRoaUlzBqSHm2SxGRvdBdy/9Q4Ax3b+2w/AEzKwEuIxwcpABV1TQyefQQioqKsl2KiOyFLsPf3X/azbpW4CexVCSJUFXTyNQxQ7JdhojsJZ3wlV5ra0tRXdOo/n6RBOuy5W9mzwADOiwuAlLufkKsVUlO27ytmeaWNiaPVstfJKm66/O/DrgdOB9o6Z9yJAk00kck+brr8/+Tmd0DHOPuC/qxJslx7eGvqR1Ekqvbcf7ufnN/FSLJUbV1O8VFMH6EpnIWSaru+vxP7mqduz8XTzmSBFU1jYwbPojyUo0XEEmq7lr+n0u7fSrwNNEJX0DhX8CqahqZojl9RBKtuz7/j7XfNrNn3P2i/ilJcl1VTSOnHT4222WIyD7I9HO75vERALY3t/BWw05dxEUk4dRpK72ye6SPun1EEq27E77fZU+Lf6qZ/Wv7Onf/57gLk9ykMf4i+aG7E74r025/ozcvambFwK3ANKAZuNTdV6etPwu4gXACeTHwBU0RnQzVCn+RvNDdCd+79+F15wED3X2Omc0GbgHOAzCzYcDNwFx3f8vMrgX2A7bsw/tJP1mztZGKgaWMGKypnEWSrKe5fVKE1nm79tZ5+xw/7+3i6ScBTwK4+yIzm5W27gRgOXCLmR0M/Le7K/gTIkzlrFa/SNJ11/I/dR9etwKoS7vfamal7t5CaOWfCkwHGoDnzexFd1+1D+8n/aS6ppF3jRuW7TJEZB911/IfDXwdeB8wHKgFngdudPfNPbxuPZCeEMVR8ANsBV5y943R+zxHOBAo/HNca1uK6rcbOePIA7Jdiojso+6Get4NvAicCEwhdOU8T7icY08WAmcDRH3+y9PWvQIcZWb7mVkpMBt4rfelS3/bWN/ErtaUTvaK5IHuRvtUuPv9affrgV+a2RcyeN0FwOlm9gLh/MCnzexqYLW7P2xmXwWeih77gLuv2JvipX9VbdUYf5F80V34bzazbxBO3NYRunHOATb09KLu3gZc3mHxyrT1vwR+2etqJauqarYDGuYpkg+6C/9PECZ3+wrhBG49oTvnH/uhLslBVTWNlBYXMW74wGyXIiL7qLvw3x+YH/1LNwaoiq0iyVlVNTuYMHIQpSWaFUQk6boL//vZM87/cMJJ2fYpnXUN3wJUtXW7unxE8kR34/zntN+OpnTel3H/kgeqaho56+hx2S5DRPqApnSWjNQ37eLtxl26bq9InlDnrWSkfZinun1E8kN33/C9LLpZBExIu4+7/yzuwiS3tM/mqYu4iOSH7k74pnfu3pd2X11ABWj3PP76gpdIXujuhO+NAGZ2GrDc3Tf1W1WSc9bUNDJycBkVA8uyXYqI9IFM+/z3ZW5/yQPVNY3q7xfJI5mEf3n0TwpYmMd/SLbLEJE+kkn4Xw7omr0FrKW1jXVv72DyqEHZLkVE+kgm4V8B/DnuQiR3bahroqVNUzmL5JNMwv97wFlxFyK5a/dIn1Hq9hHJF12Gv5nNA3D3J9z9sU7Wnx9nYZI71mzVME+RfNPdOP/BZvYE8FtgGbAJGEG48taZwC/iL09yQVVNI+UlxRxQoamcRfJFd+P87zOzh4CPA5cQLry+GXgWON/dG/qlQsm66ppGJo4cRElxUbZLEZE+0l3LH3dvBG6PDgJTgVXuXtMvlUnOWFOzXdM6iOSZHk/4mtnnCFfw+grwopl9IvaqJKdUbW3UdXtF8kwmo30uA45x9/OBGcCV8ZYkuaS2cSf1TS0a5imSZzIJ/01AS3R7B7A1vnIk11RpNk+RvNRtn3+kGKg0sxcILf8yM7sPwN0virM4yb728Fe3j0h+yST8v5N2+964CpHc1D7Gf9JIhb9IPukx/N39f/ujEMlN1TWN7De0nCEDMmkniEhS6DKO0q0qTeUskpcyGep5an8UIrlpzVaFv0g+yqTlf2PsVUhO2tnSxoa6HQp/kTyUSUduyswWAA60Abi75vcvAOtrd9CWQhdxEclDmYT/nbFXITlpze6pnNXyF8k3mXT73AuUEeb2WQO8Y3pnyU9VCn+RvJVJ+N8GTAZOB4ahqZwLRnVNIwNKi9l/2IBslyIifSyT8J/q7t8Amtz9EWB4T08ws2Izu83MXjSzZ83skC4e84SZXb4XdUs/WLM1zOZZrKmcRfJOJuFfamb7EU78DiM66duDecBAd58DXAfc0sljvg2MzLhS6XdVNTuYoi4fkbyUSfhfT5jSeRawiMyGfp4EPAng7oui5+5mZh8mHESe7E2x0n9SqRTVNY2a0E0kT2US/jvd3QgnfI9y999n8JwKoC7tfquZlQKY2VHARcA3elus9J+a7TtpaNZUziL5KpPwv8TMXiaE9Vwzy+Q59YSTw7vfx93bp4X+FDABeBq4GLjazN6fecnSHzSbp0h+y2Rit8sAzOw9wE2ETwD79/C0hcAHgAfMbDawPO31rm2/bWbfBDa6u7p/coyGeYrktx7D38yuAt4HjCGE+g0ZvO4C4PToGgBFwKfN7Gpgtbs/vA/1Sj+p2qqLuIjks0y+4XsmYVTOfOApd1/W0xPcvQ3oOIRzZSeP+2YG7y9ZUFXTyNiKAQwsK8l2KSISgx777939LGAusAL4oZltiLsoyT5N5SyS3zLp9rkAOBs4FngZ+F7cRUn2VdU0Mmfq6GyXISIxyaTb5yTgLne/NO5iJDc07WplY30TU0ZpNk+RfJXJsM0fAFea2atmtsDMDoy5JsmydbU7SKVg8uhB2S5FRGKSSfj/DLgHOBG4G7gj1ook69pH+qjPXyR/ZdLtMzBteOZDZvalOAuS7Nszxl/dPiL5KtOJ3Y4GaP9f8ltVTSODykrYb2h5tksRkZhk0vK/ArjTzMYB64HPxFuSZFv7RduLijSVs0i+6jb8zawCcHd/dz/VIzmguqaRyZrTRySvddntY2ZfBJYCS83szP4rSbIplUrpC14iBaC7Pv+LAAPmAFf1TzmSbVsamtmxq1WzeYrkue7Cv8ndd7r7W4DO/BWI6hpN6CZSCDIZ7QNhZk4pAGs0xl+kIHR3wvdIM7uPEPzttwFw94tir0yyoqqmkaIimDhS3+4VyWfdhf+Fabdvi7sQyQ2+cRvjhw9iQKmmchbJZ12Gv7v/b38WItlX17iLP6zczMfePSnbpYhIzDLt85cC8FDlOna2tHGhwl8k7yn8Zbf7X6rmqAkVHDl+eLZLEZGYKfwFgBXr6nhtQz3/MEutfpFCoPAXILT6y0uL+eC0CdkuRUT6gcJfaNrVykOV6zjrqAMYPrgs2+WISD9Q+AtPrtjItqYWdfmIFBCFv3D/S9VMGjWI2Qfrgu0ihULhX+DWbN3Oi3/dyoUzJ1FcrFk8RAqFwr/A/erltRQXwYdnTcx2KSLSjxT+Bay1LcWDi9dy8mFjGDdcc/mIFBKFfwF7btUWNtY36USvSAFS+Bew+1+qZvSQct53+NhslyIi/UzhX6Deamjm969v4vwZEygv1a+BSKHRX32BemjJOlraUvyDJnETKUgK/wKUSqW4/6VqZkwewaFjh2W7HBHJAoV/AVpSXctfNjfoRK9IAevuSl57zcyKgVuBaUAzcKm7r05b/yXgo9Hdx939xjjqkM498FI1g8tLOHfa+GyXIiJZElfLfx4w0N3nANcBt7SvMLODgY8DJwCzgTPM7JiY6pAOtje38MjS9Zxz9DiGDojl2C8iCRBX+J8EPAng7ouAWWnrqoH3u3uru6eAMqAppjqkg8eWb2D7zlad6BUpcHE1/SqAurT7rWZW6u4t7r4LeMvMioCbgSXuviqmOqSDB16q5uAxQ5g5ZWS2SxGRLIqr5V8PpA8jKXb3lvY7ZjYQuDd6zOdjqkE6WL25gZfXvM2FsyZRVKRJ3EQKWVzhvxA4G8DMZgPL21dELf7fAEvd/bPu3hpTDdLBr16upqS4iAuO1dW6RApdXN0+C4DTzewFoAj4tJldDawGSoBTgAFmdlb0+K+6+4sx1SLArtY25r+ylve+a3/2HzYw2+WISJbFEv7u3gZc3mHxyrTbSp9+9vTKzbzVsFNj+0UE0Je8CsYDL1Wz/7ABzLUx2S5FRHKAwr8AbKpv4hnfzIdmTqS0RLtcRBT+BeGhJetoS8FHZupqXSISKPwLwIIl65gxeQQHjxma7VJEJEco/PPc6xvqWblxG+fP0PBOEdlD4Z/nHlqyjtLiIs49RpO4icgeCv881tqW4qHKdcy1MYwaUp7tckQkhyj889iiv25lU30z89TlIyIdKPzz2IIl6xg2oJTTdIF2EelA4Z+nduxs5YnlGzjr6AMYWFaS7XJEJMco/PPU717fxPadrZw/Q2P7ReSdFP55asEraxk3fCDHHzQq26WISA5S+Oehtxqaee4vb3He9AkUF2vefhF5J4V/Hnp06Xpa21Kat19EuqTwz0MLlqzjiHEVHDZ2WM8PFpGCpPDPM29saWDp2jpN5yAi3VL455nfLFlHcRF8cLqmcxCRrin880gqlWJB5TpOPGQ/xlboYmki0jWFfx5ZvOZtqmt2MG+6unxEpHsK/zyyYMk6BpWV8P6jDsh2KSKS4xT+eaK5pZVHl23gjCPHMmRAabbLEZEcp/DPE8/6Fup27NIMniKSEYV/nnhoyTr2G1rOew7ZL9uliEgCKPzzQF3jLv7w+mY+MG08pSXapSLSMyVFHnh8xQZ2trZxgWbwFJEMKfzzwIIl65g6ZghHTajIdikikhAK/4Srrmnkz2/WcP6MCRQVaQZPEcmMwj/hHl66HoDz9MUuEekFhX+CpVIpfv3KWo47cBSTRg3OdjkikiAK/wRbsa6eN7Zs19h+Eek1hX+CLViyjvKSYs45ely2SxGRhIllHgAzKwZuBaYBzcCl7r46bf1ngM8CLcC33f3ROOrIJ6lUio31Taza1MCqjdtYtWkbT67YyHvftT/DB5dluzwRSZi4JoGZBwx09zlmNhu4BTgPwMwOAK4AZgEDgT+a2e/cvTmmWhIllUqxpaGZv2xqYNWmbdG/cHtbU8vux+03dADTJo3g6jMOy2K1IpJUcYX/ScCTAO6+yMxmpa07DlgYhX2zma0GjgFe6usilq2t5br5y9nV2tbXLx2LFLC1oZm3G3ftXjZycBmHjh3GvOkTOGzsUA4dO4zDxg5j1JDy7BUqIokXV/hXAHVp91vNrNTdWzpZtw0YHksRA8s4dOzQxIQ/wPADR3JYFPCHjh3KmKEDNH5fRPpcXOFfD6RfPbw4Cv7O1g0DauMo4sD9hvDDj86I46VFRBItrtE+C4GzAaI+/+Vp6/4MvMfMBprZcOBwYEVMdYiISCfiavkvAE43sxeAIuDTZijo7PIAAAWOSURBVHY1sNrdHzazHwHPEw4+17t7U0x1iIhIJ2IJf3dvAy7vsHhl2vrbgdvjeG8REemZvuQlIlKAFP4iIgVI4S8iUoAU/iIiBUjhLyJSgOIa6tmnXn311bfMbE226xARSZgpXa0oSqVS/VmIiIjkAHX7iIgUIIW/iEgBUviLiBQghb+ISAFS+IuIFCCFv4hIAUrEOP+OerpAfC4zs1cIF7QBeBP4KfBDwsXsf+vuN2artp6Y2fHA99x9rpkdAtxFuPrkCuAL7t5mZjcA5xC25yp3/3PWCu6gQ/0zgEeBv0Srf+Lu9+dq/WZWBtwJHAgMAL4NvEaC9kEX21BNQvaDmZUQZiM2ws/8cqCJBO2DdIkMf7q5QHwuM7OBQJG7z01bVgl8CPgr8JiZzXD3JVkqsUtmdi3wSWB7tOj7wNfc/Vkzuw04L/oi3inA8cAkYD7w7mzU21En9c8Evu/ut6Q95lhytH7gE8BWd/+kmY0CKqN/idkHdL4N3yI5++EDAO5+opnNBb5DuF5JkvbBbknt9vm7C8QDs7p/eM6YBgw2s9+a2dNmdjIwwN3fcPcU8BRwWnZL7NIbwAVp92cC/xvdfoJQ90mETy8pd68CSs1sTP+W2aXO6j/HzJ4zszvMbBi5Xf+vgK9Ht4sILcqk7YOutiER+8HdHwIui+5OIVx+Nmn7YLekhn+nF4jPVjG90Aj8O3Am4SPjz6Nl7WK7mP2+cvf5wK60RUXRAQv21N1xv+TM9nRS/5+Ba9z9ZMKnrhvI7fob3H1bFI4PAl8jefugs21I2n5oMbO7gR8D95KwfZAuqeHf3QXic9kq4H+iFsEqwi/IqLT1sV3MPgZtabfb6+64X3J5exa4++L228AMcrx+M5sEPAPc4+73kcB90Mk2JG4/uPs/AocR+v8Hpa1KxD5ol9Tw7+4C8bnsEsL5CcxsPDAY2G5mU82siPCJ4Pks1tcbS6J+T4CzCHUvBM40s2Izm0w4KL+VrQJ78JSZHRfdfh+wmByu38zGAr8FvuLud0aLE7UPutiGxOwHM/ukmX01uttIOPi+nKR9kC4JXSWdeccF4rNcT6buAO4ysz8SRgdcQvgFuhcoIfQT/imL9fXGl4HbzawceB140N1bzex54EVCw+IL2SywB58Dfmxmu4CNwGXuXp/D9f8zMBL4upm195tfCfwoQfugs224GvhBQvbDr4Gfm9lzQBlwFeHnnsi/A83qKSJSgJLa7SMiIvtA4S8iUoAU/iIiBUjhLyJSgBT+IiIFSOEvec/M5ppZXfQFo/Zl/2ZmF2exLJGsUvhLoWgmjNEuynYhIrkgqV/yEumtp9nzhZv/7OwB0SeBswnfvJ5KmP75LjM7GvgR4QuFWwlfzpsBXO7uH42eu9HdDzCzu4DR0b9zCPPXnBS9xX3u/sPoMc2EqY3HARe7+ytm9nPgEMKUAT9093v68gcgkk4tfykknwO+FF2LoCvD3f1c4IPAddGy2wnztM8FHgeu7eF9nnb3E4ATgYOA2YQDwEXRgQRgjbufSZgg7LJosrOTCTOPvh9o7e3GifSGwl8KhrtvJXwl/266/t2vjP6vBgZGtw8HbjWzZwmt/gmdPC+9O8nTnvd8NJHfLmARcES0rv2aDdWEa1Nsi2r7GXA/4WInIrFR+EtBcfdHCOF8cRcP6Wy+Ewc+FbX8ryVceaqJ0GWDmU3h72dnbZ9t83WiLp/oKlYnsOeKVX/3PmY2Dpjp7ucTuotuSsg05ZJQ+uWSQnQVYQbJTH0O+EUUxingnwhzz9ea2Z8IIf9mxye5+6PRSKMXgXLggahvv7P32AgcEE1W2Ar8e0KmKZeE0sRuIiIFSN0+IiIFSOEvIlKAFP4iIgVI4S8iUoAU/iIiBUjhLyJSgBT+IiIF6P8AacsL6Kaxxv4AAAAASUVORK5CYII=
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAX8AAAESCAYAAAAVLtXjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3deXxU1f3/8VcSEkKQEBaRfdePG/sqIqKtomjrUm2Vbtq6a936q9Xa1tpvN7XL16Vq3WrrV1DrVrV1q6hFRBEBBZWPBsSwCLKGNfv8/rg3MsQsk2Vyk8z7+Xjkwcy9d+79HObO55455845abFYDBERSS3pUQcgIiLNT8lfRCQFKfmLiKQgJX8RkRSk5C8ikoKU/EVEUlC7qANorcxsILAcWBIuygB2AVe6+9wkHG8lcFr49Gp3P63mreu1318A3d39EjObCtzm7ofWsO3xwGR3vzZu2SDgbeBYd18QLhsG3Ap0BsqB8939bTMbEz4+L4G4OgP3AgcSVFL+5u43hOv2B+4DugE7gO+4+7Jq9vFKWJ5H45YNBJa6+z51xVBT2c3sKOAmIBPYDVzq7vPD7R4DRoRxAbzs7leY2UnACHf/ZQLHOgs4zd1PrEd8ucCzQB7wG+Bid59Ux2teocr/T7h8LPCouw9M9PgtlZndDdzp7m/X83WdgEeBk4Esaj4X/w/4VXXnX0unmn/j7Hb3keHfMOAPwP3JPKC7L2iqxF8f4YfhRuDXccuygf8j+HBULssBXgBudPdRwP8ADwKEH8B2ZpZIUvsfYHV4IRoHXGhmh4XrHgTucPeDgeuAx8wsrZFFrFF82c0sC3gYONfdRwC/Ah6I2/wwYErceXEFgLv/EzjCzEYmKcyRwH7ufoi7P1hX4k8hxwANOTduAO52993Ufi7+HLg/medfsqjm37S6AZ8CmFk68CdgItCJ4AQ8x93nmtlk4I8E3xZiwG/d/bEwsdwAHBmuW0RQq9xWeYD42rmZ3Q9sA4YB/YBlwBnuvsPMDgJuDmPKAG5x9/saUbaLgefdfVfcsj8TXOyujVt2LLDc3f8dPn8K+Dhu/V3AHcAzdRzvsjBugF5Ae6DQzPoQ1MAeAnD3Z83sDmAUsLA+BTKzXwMnhE/TgOEE79G9VTbdq+xm1sfdS8MP/GBgU7h8EMF7fWf4DeNt4Ifuvjncz70EF6tT6hHjL4CBBP8HA4ANwDfcfW3cNkbwTaiPmS0GzgTeqvx2Y2bXAl8jqOytBC6Kf324zYXAFUAhe77NVo1lIDA7/DuM4JvP/wPOJ3hPFgBnunuFmU0iOJc7AhXAL9z9GTPrSPD+HwB0BbYDM9zdw28i84DDgf7AHOC77l5RJY5XgM3hMe8A3iK4OLcP/59edPfvh+9vb+BBM/sOwefjZoLPSybwEvAjdy+rsv9+wInApeGias9FAHdfYWZbga8C/6zu/62lUs2/cTqY2eLw7xOCE+u34boJBCfeYWEN9W/A1eG664E/uvsY4HvA0eHyq4EyYExYq1wL/K6OGMYAxwEHhcc73czaEXxlvTo8xpHA/zOziY0o62nEJWwzOwfIdPe7q2x3ALDOzO41swXAi8RVMtz9DYIkNai2g7l7zN3Lwq/VS4FXACe4yK2tkhBWA31r2NVNce/RYqDyooS7X1tZQweeC8t3f11lDxP/fuFxbyJIPAA9gP8QJMNRBE0/8RfcfwHTzKxDbWWvxhHA6e5+ILAl3P/n3N2BcwguuiMJmqIACJPeMGB8uO7fwD3xrw+/jfyC4BvLOKCkllgGAU+5+yEEyfNmgovNIWGcE82sC/BX4NvuPpogMd5hZv2B44Gt7j7R3Q8gSNyXxO1/CDA1jPlognO3Olvc/WB3v5UgOf/c3ScABwNfNbMxYfPkWuCb7v4mQWXs7fAzMQroDlxZzb5PAmZXXhRqORcrPQ2cWsv/WYukmn/j7A4/UACEtZ1nzWyku88zs58C55tZ5Qm9Pdz0EeDPZvYVgmTxk3D5iQRttscElTmygM/qiOE5dy8Oj7+EoDZ1AMGH6L5wPwAdCE74NxpY1gOB/PA4o4ELgCnVbJcJTAeOcvc3w7buf5vZgMo4gRWAsfc3gmq5+7fM7ALgMYKv2M/XsGl5Dct/VF2bf/wGZnYp8CXgSHevbj+flz0urvUEF7HRwEtm9n6YYD6v1Ye19nVmluXuJe6+3cy2EdTg69NG/Erct79FBO9xok4ExgMLwnMhA8ipss2XgBfcfV34/C6CCkV1SgmSHQR9Xq9XxmZma8PYDiOoIT8Zd/7FgOHu/qiZrTCzHwBDCT4X8+L2/3R4Yd9uZvm1lHVO3OPvAtPN7CcE71UOUF2fzonAeDP7fvi8povwF95vqPZcvC5ctRz4dg37arFU829C7v46QY1gvJmdQFDTg+Dr4J2EbY/u/heCms2LwDTg3bCDMwO4LK42Op49nbw12R33OBYeI4OgdjUybl8TCWpjDVXBnq++3wFygdfD2nTlV+uvEtS0loWJsLKtO4OgeaRSBjUnawDMbJqZ9Q73sQOYBYwGCoCeVdpY+xDUwuvNzE4HLgdOdPedNWz2ednNrLOZfZ7g3X0h8A4wzMyOCP8PKqWFr40va51lr0Z173GiMoAb4s6DsQTNKvGq7rOMmpW4e/yAYKU1HPODas6/58PmpXsJbo6YSfC+xh870bLuiHs8h6DCsQz4JcG5UN3rMgi+QVXGNIG9v3VUij/XazsX4/db3/c0ckr+TcjMDiCodS8i6Gh62t0r2yRPZk8CeR0Y5e73A+cR1Pa7ENRqLzGzrLDP4G72NCPVhwNFZvat8Hj9CGq7YxpeOj4kTODufrm7HxD3Iar8av0UwR0nAy24swczm0LwIf44fJ5G0IbtXzzEXr4OXGdmaWbWPnw+291XE9S0vhHubxrBh7XaduramNmRwC0EiX9dLZt+XnaCD/l9ZnZ4uI9DCGqKbxLUNm81s8ra6o8I7popD7ftTFDbLKhvrI3wPHCOBXcDQZAcH6iyzYvAsWZW2XR2ViOP+Qawf/jeVzYrfURQSZgG3B/2qzjwFeISbX2FTUxjgR+7++MEFYGhcfssI/g2CsH/xRVx59RTVJ/8499vqOFcjFs/mPp9k2sRlPwbJ77NfzFBO/t57v4hQU3/SDN7l+Br7XJgUJjUrwJ+aWaLgJeB6919JcFdBSsJLh7vE9RefljfoNy9hKDd8pzw+C8AP/PG3YL6KDU3BcQfex3Bhe52M1tK0M56qrsXhZuMJWibLjCz3uH/Xe9qdvVDgltFlxB0JL5N0L4McAZwQbj/XxPU5iqq2Udd7iK4cDwQ9z5Wdyvm52UPa34nA/8bvuf3EXRYrnb3ZwkuJnPNzAma3uKTy7HAM+5ebGZjw9cn2z0E/RVvmNl7BJ3aZ8Vv4O5LCM7Jl8J+muzGHNDdNxB0MN9kZu8QXGy+7e6fAL8naApdTNBnsJAgWTf0WFsIKkgLw9ivAebG7fNJ4GEzO5agA7cjwTn1bvjvjV/YafCao8ys8gJS27kIwbnxj4aWISppGtJZEhHWHN8Axla546e++7kf+Ie7/yt8/gBwubtvapJAk6AJyz6boKzvhs//5e4n1PEyiYCZ3QX8x90fqWO7IQS3Hh9WpTmsxVPNXxISdupdA/ysofuw4MdDFXGJP4fgFsoWm/ihycp+CjAnLvH3AW5vmgglCa4CzkvgzqxfEdwe3KoSP6jmLyKSklTzFxFJQUr+IiIpqFX8yGvChAmxPn36RB2GiEir8t577210932rW9cqkn+fPn14/PHHow5DRKRVsWDYmWqp2UdEJAUp+YuIpCAlfxGRFKTkLyKSgpT8RURSkJK/iEgKSlryN7MJFky3VnX5V8zsLTObZ2bnJuv4IiJSs6Tc529mVxHMbLOzyvJMgiF+x4Xr5prZU+GsSCKSgF0lZazavJuCzbso2LyLwl21zboorVn7zAy+OaE/eTlZTb7vZP3IaznBnJZVJ404CMgPx+DGzF4jmAqw1Y2FLZIs5RUx1m0rYlWY3Cv/rXy8cccXk31afeb2klajfbt0Jg3pxqj+rST5u/tj4VypVeUSznof2k4wSYJIStlWVErBpl2s3rInsRds3s2qzcGy0vI9o+1mpKfROy+b/l1zOObg/ejbJYf+Xff85eVkkqbsL/XU3MM7bAM6xT3vBGxt5hhEkq60vIJPtxYFtfUte9fcCzbvYuuuvae+zcvJpH/XHA7uncu0Q3ruldx75WWTmaF7M6RpNXfy/4Bgbs+uBBMwTyGY1k2kVVu+YQf3zFnxeZJfu7WI8oo9tffMjDT6dsmhX9cchvftTL+w9t4v/OvcIbOWvYs0vWZJ/mY2A9jH3e8ysysJJlJOB+5z9zXNEYNIssRiMa58eDEfrt/Bgb06Mbp/F04emUO/MNn375ZDz9xsMtLVNCMtR9KSfzgh+cTw8cy45U8DTyfruCLNbc5HG3lndSG/O3UYZ4zvH3U4IglRQ6JII902O59enbM5dXTfqEMRSZiSv0gjvLliE/NXbuaCI4eQ1U4fJ2k9dLaKNMKts/Ppvk97vjGuX9ShiNSLkr9IAy0s2MJr+Rs5b8ogsjMzog5HpF6U/EUa6M+z8+mSk8k3JwyIOhSRelPyF2mApWsKeWnZZ3x/8iA6tm8VU2GL7EXJX6QB/vxyPp2y2/GdSQOjDkWkQZT8Rerpw/XbeXbpOs6aNJDcbP0yV1onJX+Rerr95XxysjI4+/BBUYci0mBK/iL1sHLjTp56Zy3fnjiArh2bfphdkeai5C9SD3e8spzMjHS+f4Rq/dK6KfmLJGj1ll08tnA1Z47vT49O2VGHI9IoSv4iCfrLqytIS4PzpgyOOhSRRlPyF0nA+m1FPLxgFaeN6UfvvA5RhyPSaEr+Igm4+78rKK+IceGRQ6IORaRJKPmL1GHTjmIefLOAk0b2pn+3nKjDEWkSSv4idbj3tY8pKivnoqlDow5FpMko+YvUonBXKX+f9wnTh/ViaI99og5HpMko+YvU4v7XV7KjuIxLjlKtX9oWJX+RGmwvKuW+uR9zzMH7cVCv3KjDEWlSSv4iNfi/Nwoo3F2qWr+0SUr+ItXYXVLOPXNWMOWAfRnRLy/qcESanJK/SDVmzS9g084SfnC0av3SNin5i1RRXFbOX/67nImDuzJuYNeowxFJCiV/kSr+sWA167cV84Oj9486FJGkUfIXiVNaXsEdryxnVP88Jg3pFnU4Ikmj5C8S58lFa1izdTc/OHooaWlpUYcjkjRK/iKh8ooYt7+ynEN653KU9Yg6HJGkUvIXCT3z7lo+3rhTtX5JCUr+IkBFRYw/v5zP/j324diDe0YdjkjSKfmLAC+8v54P1+/gkqOHkp6uWr+0fe2SsVMzSwduB0YAxcA57p4ft/6HwAygAviNuz+RjDhEEhGLxbjt5Y8Y2C2HE4b1ijockWaRrJr/yUC2ux8GXA38oXKFmeUBlwGHAccC/5ukGEQS8opvYOmabVx01FDaZejLsKSGZJ3pk4HnANz9DWBs3LqdwCdAx/CvIkkxiNQpFotxy+yP6JPXgVNG9Yk6HJFmk6zknwsUxj0vN7P4JqZVwPvAQuCWJMUgUqd5yzexqGArF0wdQqZq/ZJCknW2bwM6xR/H3cvCx8cDvYBBQH/gZDMbn6Q4RGp16+x8enRqz+lj+kYdikizSlbynwtMBzCzicCSuHVbgN1AsbsXAVsBjZkrzW7Bys3MW7GJ86YMJjszI+pwRJpVUu72AZ4AjjGz14E04GwzuxLId/enzOzLwBtmVgG8BryYpDhEanTr7Hy6dcxixoT+UYci0uySkvzdvQK4oMriZXHrrwOuS8axRRLx7uqtvPrhBq46zsjJSlYdSKTlUg+XpKTbZueTm92Ob08cEHUoIpFQ8peUs2zdNl54fz1nHz6ITtmZUYcjEgklf0k5t83OZ5/27Tj78IFRhyISGSV/SSnLN+zgX0s+5duHDSAvJyvqcEQio+QvKeX2l5fTvl063588KOpQRCKl5C8pY9XmXTy5eA0zxg+g+z7tow5HJFJK/pIybn9lORlpaZw3ZXDUoYhETslfUsKnhbt59O1VfH1cX3p2zo46HJHIKflLSvjLqyuIxeD8KUOiDkWkRVDylzZvw/ZiZs0v4JRRfejXNSfqcERaBCV/afPueW0FpeUVXDhVtX6RSkr+0qZt2VnCA/M+4cThvRm87z5RhyPSYij5S5v217kfs6uknEuOHhp1KCItipK/tFnbikr56+srOe6QnhywX6e6XyCSQpT8pc16YN4nbC8qU61fpBpK/tIm7Swu4545KzjK9uXQPp2jDkekxVHylzZp5psFbNlVyiVH7x91KCItUq1TGJlZGnACMBXoBnwGvAS86O6xpEcn0gBFpeXcNWcFhw/txpgBXaIOR6RFqrHmb2ZHA/8BjgTeBWYCbwPTgP+E8/CKtDiPLFjFhu3FXHKUav0iNamt5r8/cKy7l1dZ/oiZZQDnEVwcRFqMkrIK7nxlOWMHdGHi4K5RhyPSYtWY/N39L7WsKwfuSEpEIo3w+MLVrC0s4jenDiMtLS3qcERaLHX4SptRVl7B7a8sZ3jfzhx5wL5RhyPSotVY8zezl4GqM16kATF3n5TUqEQa4Ol311KweRc/PWGMav0idaitzf9q4G7gFKCsecIRaZiKihi3zc7nwJ6d+PJB+0UdjkiLV1ub/5tm9gAw3N2faMaYROrt2aXrWL5hJ7eeOYr0dNX6RepS633+7n5TcwUi0lCxWIxbZ3/E4H07Mn1Yr6jDEWkVamvzn1LTOnf/b3LCEam/ufmbWLZuOzedNpwM1fpFElJbzf/CuMdHAbMJO3wBJX9pMWbNLyAvJ5OvjOgddSgirUZtbf5nVj42s5fdfUbzhCSSuA3bi3n+vXV8d9JAsjMzog5HpNVI9D5/jeMjLdJjC1dTVhHjzPH9og5FpFXRj7yk1aqoiPHQ/ALGD+zK0B6arEWkPmrr8P0te2r8Q8zsN5Xr3P0nyQ5MpC5vrNjEyk27uOzLGsBNpL5q6/BdFvf45/XZqZmlA7cDI4Bi4Bx3z49bfzxwHUEH8tvAxRoiWupr1lur6Nwhk+MP1e2dIvVVW4fv3xqx35OBbHc/zMwmAn8ATgIws07ATcBUd99oZlcB3YENjTiepJhNO4p5fuk6Zkzor45ekQaoa2yfGEHtvFJl7bxyjJ+ja3j5ZOA5AHd/w8zGxq2bBCwB/mBmg4F73F2JX+rl8YVrKCmv4Mzx/aMORaRVqq3mf1Qj9psLFMY9Lzezdu5eRlDLPwoYCewA5pjZPHf/sBHHkxQSi8WYNb+AMQO6YD3V0SvSELXV/LsBPwO+BHQGtgJzgOvd/bM69rsNiP9UpoeJH2AT8Ja7rwuP81+CC4GSvyTkzY83s2LjTn5/1NCoQxFptWq71fNvwDzgcGAAQVPOHILpHOsyF5gOELb5L4lbtxA41My6m1k7YCLwfv1Dl1Q1a34BnbLbcYLG8RFpsNru9sl194fjnm8DHjKzixPY7xPAMWb2OkH/wNlmdiWQ7+5Pmdk1wPPhto+4+9KGBC+pZ8vOEp5dso4zx/ejQ5Y6ekUaqrbk/5mZ/Zyg47aQoBnnBODTunbq7hXABVUWL4tb/xDwUL2jlZT3+KKwo3eCOnpFGqO25P8tgsHdfkzQgbuNoDnnu80Ql8gXVHb0juqfx4E9c6MOR6RVqy359wAeC//i7QsUJC0ikRos+GQL+Z/t4MbThkcdikirV1vyf5g99/kfRNApWzmks+bwlWY3680COrVvx4nD1dEr0li13ed/WOXjcEjnxtz3L9IoW3eV8MyST/n62L7kZNU6AZ2IJEBDOkur8MSiNZSU6Re9Ik1FQzpLi1fZ0Tuib2cO6d056nBE2oTafuF7XvgwDegT9xx3vyvZgYlUWliwhQ/X7+B3pw6LOhSRNqO2xtP4XrWZcc/VBCTNatb8VXTMytAcvSJNqLYO3+sBzOzLwBJ3X99sUYmECneX8sy7azl1dF86tldHr0hTSbTNvzFj+4s02D8Xr6GotIIZ6ugVaVKJJP+s8E+kWcViMWa+WcChfXI5tI86ekWaUiLJ/wJAc/ZKs1u8aivL1m3X7Z0iSZBI8s8F5ic7EJGqZs0vICcrg6+qo1ekySWS/G8Ajk92ICLxthWV8vQ7n/LVEb3plJ0ZdTgibU6Nyd/MTgZw92fd/V/VrD8lmYFJavvn4rXsLi1Xk49IktR271yOmT0LvAC8C6wH8ghm3poG/D354UkqisVizHqzgIN75TK8rzp6RZKhxpq/u88EvkYwyfr3gD8A5wNbgFPc/YFmiVBSzpI1hbz/6TbOnNCftLS0qMMRaZNq/dWMu+8C7jazJ4EhwIfuvrlZIpOUNWt+AR0yMzhppDp6RZKlzg5fM7uQYAavHwPzzOxbSY9KUtaO4jL+uXgtJw7vRa46ekWSJpG7fc4Dhrv7KcAo4LLkhiSp7KnFa9lVUq45ekWSLJHkvx4oCx/vBjYlLxxJdbPmF3Bgz06M6pcXdSgibVoiyT8dWGxmdxH82Kunmc00s5nJDU1SzdI1hSxZU8iZ49XRK5JsiQyT+Ou4xw8mKxCRWfMLaN8unZNH9Yk6FJE2r87k7+6vNkcgktp2ft7R25vOHdTRK5JsmsZRWoRn3l3LjuIyZkzoF3UoIikhkVs9j2qOQCS1zZy/igP224fR/btEHYpISkik5n990qOQlPbe2kLeWbWVM8apo1ekuSTS4RszsycAByoA3F3j+0uTeWj+KrLapXPqaHX0ijSXRJL/fUmPQlLWrpIynly0hhOG9SIvRxPGiTSXRJp9HgQyCcb2+QT4wvDOIg31zLufsr24TEM3izSzRJL/nUB/4BigExrKWZrQQ/MLGLJvR8YNVEevSHNKJPkPcfefA0Xu/jRQ5wDrZpZuZnea2Twze8XMhtawzbNmdkED4pY2YNm6bSws2Kpf9IpEIJHk387MuhN0/HYi7PStw8lAtrsfBlxNMBdAVb8CVN1LYQ/NX0VWRjpfG9036lBEUk4iyf9agiGdxwJvkNitn5OB5wDc/Y3wtZ8zs9MILiLP1SdYaTt2l5Tz+MLVHD+sJ106qqNXpLklkvxL3N0IOnwPdff/JPCaXKAw7nm5mbUDMLNDgRnAz+sbrLQd/17yKduKyjhjnDp6RaKQSPL/npktIEjWU80skddsI+gc/vw47l45LPR3gD7AbOAs4EozOy7xkKUtmDW/gEHdOzJxcNeoQxFJSYkM7HYegJkdAdxI8A2gRx0vmwt8BXjEzCYCS+L2d1XlYzP7BbDO3dX8k0I+XL+dBZ9s4SfTD1RHr0hE6kz+ZnY58CVgX4Kkfl0C+30COMbMXgfSgLPN7Eog392fakS80gbMml9AZkaaOnpFIpTIL3ynEdyV8xjwvLu/W9cL3L0CqHoL57JqtvtFAseXNqSotJzHF65h2iE96bZP+6jDEUlZdbbfu/vxwFRgKXCzmX2a7KCk7Xpu6ToKd5cyQ7/oFYlUIs0+pwLTgdHAAuCGZAclbdfM+QUM7JbDxMHdog5FJKUl0uwzGbjf3c9JdjDStuV/toP5H2/m6uMPJD1dHb0iUUrkts0/AZeZ2Xtm9oSZDUxyTNJGPRR29J42Rh29IlFLJPnfBTwAHA78Dbg3qRFJm1RUWs5jC1dzzMH70V0dvSKRS6TZJzvu9swnzeyKZAYkbdPz761jy65SDd0s0kIkOrDbMIDKf0Xq66H5q+jXtQOHD+kedSgiQmI1/0uB+8ysF7AWODe5IUlbs2LDDuat2MSPppk6ekVaiFqTv5nlAu7u45opHmmDHn5rFe3S0zh9rDp6RVqKGpt9zOwS4B3gHTOb1nwhSVtSXFbOP95ezZcP2o8enbKjDkdEQrW1+c8ADDgMuLx5wpG25sX317N5ZwlnTlBHr0hLUlvyL3L3EnffCGi2DWmQWfML6JPXgSOGqqNXpCVJ5G4fCEbmFKmXlRt3Mjd/E2eM66eOXpEWprYO30PMbCZB4q98DIC7z0h6ZNLqPfTWKjLS0zh9bL+oQxGRKmpL/l+Pe3xnsgORtqWkrIJH317F0Qf2oGdndfSKtDQ1Jn93f7U5A5G25aUP1rNxR4mGbhZpoRJt8xepl5nzC+jdOZspB+wbdSgiUg0lf2lyqzbvYs5HG/nGuP5kqKNXpEVS8pcm99BbBaSnwdfH6Re9Ii2Vkr80qdLyCh5ZsJqjD+xBr84dog5HRGqg5C9N6qUPPmPD9mLOGKeOXpGWTMlfmtSs+QX0zM1mqqmjV6QlU/KXJjNv+Sb++9EGvj6uH+0ydGqJtGT6hEqT+Gx7EZc+tIhB3Tty/pTBUYcjInVIZDIXkVqVV8S4bNZitheV8sD3x9OxvU4rkZZOn1JptJtf+oh5KzZx02nDObBnbtThiEgC1OwjjfLfDzdw6+yPOG1MXw3gJtKKKPlLg60rLOLyhxdzQI9O/M9Jh0YdjojUg5K/NEhZeQU/mLWQotJy/vzN0XTIyog6JBGpB7X5S4P8/oUPeWvlFm4+YyRDe+wTdTgiUk+q+Uu9zV62njtfXc6Z4/tz0sg+UYcjIg2g5C/1smbrbq585B0O7pXLdV85OOpwRKSBktLsY2bpwO3ACKAYOMfd8+PWXwGcET79t7tfn4w4pGmVlFVwycyFlJXHuP2bo8nOVDu/SGuVrJr/yUC2ux8GXA38oXKFmQ0GvglMAiYCx5rZ8CTFIU3ohueWsahgKzeeNpyB3TtGHY6INEKykv9k4DkAd38DGBu3bhVwnLuXu3sMyASKkhSHNJHnlq7j3tc+5qxJA5k+rFfU4YhIIyXrbp9coDDuebmZtXP3MncvBTaaWRpwE7DI3T9MUhzSBAo27eJHj77DiL6duWb6gVGHIyJNIFk1/21Ap/jjuHtZ5RMzywYeDLe5KEkxSBMoLivn4pkLSQNumzGa9u3Uzi/SFiQr+c8FpgOY2URgSeWKsMb/T+Addz/f3cuTFIM0gV//6wOWrCnk96ePoF/XnKjDEZEmkqxmnyeAY8zsdSANONvMrgTygQzgSKC9mR0fbn+Nu89LUizSQE+/s5a/z/uEc48YxLGH9Iw6HBFpQklJ/jPDDRgAAArbSURBVO5eAVxQZfGyuMfZyTiuNJ0VG3ZwzeNLGN0/j6uOUzu/SFujH3nJFxSVlnPRgwvJzEjjthmjydSsXCJtjsb2kS+4/un3WLZuO389exy98zpEHY6IJIGqdLKXJxatZtb8VVw0dQhHWY+owxGRJFHyl899tH47P3l8KeMHdeXKYw6IOhwRSSIlfwFgV0kZFz24kJysDG49cxTt1M4v0qapzV+IxWL89Mml5G/YwQPfm8B+uboZS6StU/VO+MeC1Ty+cA2XfWl/Ju/fPepwRKQZKPmnuA8+3cbP/rmUyUO784Oj9486HBFpJkr+KWxHcRkXP7iQzh0y+dM3RpKRnhZ1SCLSTNTmn6JisRjXPL6ElZt2MvPciezbqX3UIYlIM1LNP0U9+GYBT7+zlh8ea0wc3C3qcESkmSn5p6Clawr55dPvM9X25cIjh0QdjohEQMk/xWwrKuWiBxfSbZ8s/vj1kaSrnV8kJanNP4XEYjGu+se7rN26m4fPn0jXjllRhyQiEVHNP4X8de5KnntvHT8+7kDGDOgadTgiEiEl/xSxqGALv332A445eD/OOWJQ1OGISMSU/FPA1l0lXDJzEfvlZvP700aQlqZ2fpFUpzb/Nq6iIsYPH3mHz7YX8egFk+ickxl1SCLSAqjm38bdPWcFLy37jGunH8SIfnlRhyMiLYSSfxu2YOVmbnzemT6sJ9+dNDDqcESkBVHyb6M27SjmkpmL6NelA7/72nC184vIXtTm38as2bqbufkbefDNAjbvKuGJiyaRm612fhHZm5J/K1e4q5R5KzbyWv5G5uZv4uONOwHovk8WN502nEN6d444QhFpiZT8W5mi0nIWrNzC3OUbmZu/kSVrConFoGNWBhMGd+NbEwcweWh3DthvHzX1iEiNlPxbuPKKGEvXFH6e7N9auYWSsgrapacxqn9eMPvW0O6M6JdHpubdFZEEKfm3MLFYjI837mRu2Izz+vKNbCsqA+DAnp34dlizHz+oKx3b6+0TkYZR9mgBPttexOv5m3gtfyOv529kbWERAH3yOnD8ob2YNLQbk4Z014QrItJklPwjsKO4jDdXbAo7aTfy4fodAOTlZDJpSDcuGtKdyUO7M6BbjtrtRSQplPybQUlZBYtXbf082S9etZXyihjt26UzflBXTh3dl8OHdOfg3rmaR1dEmoWSfxMpLitn7dYi1mzZzZqtu1izZTert+5m9ZbdLF1TyK6SctLTYFjfPC44cjCHD+nO6AFdyM7MiDp0EUlBSv4J2lFc9oXEHjwPEvyG7cV7bZ+WBj1zs+mT14Gvje7L5P27M3FwNzp30A+uRCR6SUn+ZpYO3A6MAIqBc9w9P279ucD5QBnwK3d/JhlxJCoWi7F5ZwlrqiT0+OeFu0v3ek1WRjq98rLp26UDR9m+9MnLoU+XDvTJ60DfLh3o2Tlbt16KSIuVrJr/yUC2ux9mZhOBPwAnAZhZT+BSYCyQDbxmZi+6e3GNe2uk8ooYn20v2iux70nuu1i7tYjdpeV7vaZjVsbnyXz0gLwvJPd992mv+W9FpNVKVvKfDDwH4O5vmNnYuHXjgblhsi82s3xgOPBWUwfx7uqtXDprEau37KasIrbXuq4ds+iT14H9e3RiqvWgT16HvZJ75w6ZutNGRNqsZCX/XKAw7nm5mbVz97Jq1m0HkjIATW52JhMHdwsSfVxi753XgZwsdXeISOpKVgbcBnSKe54eJv7q1nUCtiYjiIHdO/K7rw1Pxq5FRFq1ZPVIzgWmA4Rt/kvi1s0HjjCzbDPrDBwELE1SHCIiUo1k1fyfAI4xs9eBNOBsM7sSyHf3p8zsFmAOwcXnWncvSlIcIiJSjaQkf3evAC6osnhZ3Pq7gbuTcWwREambbkQXEUlBSv4iIilIyV9EJAUp+YuIpCAlfxGRFNQqfub63nvvbTSzT6KOQ0SklRlQ04q0WCxW0zoREWmj1OwjIpKClPxFRFKQkr+ISApS8hcRSUFK/iIiKUjJX0QkBbWK+/xbOjPLBO4DBgLtgV8B7wP3AzGC+QouDkc7bXXMrAfwNnAMUEbbKdc1wFeBLOB24FVaednCc/FvBOdiOXAurfw9M7MJwA3uPtXMhlJNWczsOuAEgrJe7u7zIwu4HqqUbSRwK8H7Vgx8x93Xm9m5wPkEZfuVuz/TFMdWzb9pfAvY5O5HAMcBtwF/BH4aLksjnMC+tQmTyV+A3eGitlKuqcAk4HDgSKAfbaNs04F27j4J+CXwa1pxuczsKuAeIDtc9IWymNlogvdwAnAG8OcoYq2vasp2M/ADd58KPA782Mx6ApcSnKfTgN+aWfumOL6Sf9P4B/Cz8HEawRV6DEFNEuBZ4MsRxNUUfg/cCawNn7eVck0jmGHuCeBp4BnaRtk+BNqZWTrBfNmltO5yLQdOjXteXVkmAy+4e8zdCwjKv2/zhtkgVct2hrsvDh+3A4qA8cBcdy9290IgH2iSuWmV/JuAu+9w9+1m1gl4FPgpkObulT+fTtok9clkZmcBG9z9+bjFrb5coe7AWOB0gomHHiSYa7q1l20HQZPPMoIJk26hFb9n7v4YwQWsUnVlyQUK47ZpFWWsWjZ3/xTAzCYBlwB/IollU/JvImbWD3gZeMDdZwLxbapJm6Q+yb5HMB3nK8BI4O9Aj7j1rbVcAJuA5929xN2doJYV/6FqrWW7gqBcBwAjCNr/s+LWt9ZyVaruc7UtfFx1eatjZt8g+KZ9grtvIIllU/JvAma2H/AC8GN3vy9cvChsVwY4nmDO4lbF3ae4+5FhG+Ri4DvAs629XKHXgOPMLM3MegMdgZfaQNm2sKemuBnIpA2ci3GqK8tcYJqZpZtZf4JvcBujCrChzOxbBDX+qe6+Ilw8HzjCzLLNrDNwEEFHd6Ppbp+m8ROgC/AzM6ts+78MuMXMsoAPCJqD2oIfAne39nK5+zNmNoXgw5UOXAx8TOsv25+A+8xsDkGN/yfAAlp/uSp94fxz9/KwvPPY8162KmaWQdBEVwA8bmYAr7r7dWZ2C8FFLh241t2LmuKYGtVTRCQFqdlHRCQFKfmLiKQgJX8RkRSk5C8ikoKU/EVEUpCSv7R5ZjbVzArDH+JVLvtd+AtmkZSk5C+pohj4q5mlRR2ISEugH3lJqpjNnh8A3VbdBuE3gelADjCEYKjd+81sGOEYOQTDQnwPGAVc4O5nhK9d5+49zex+oFv4dwLBOE+Tw0PMdPebw22KCcbg6QWc5e4LzeyvwFCgA3Czuz/QlP8BIvFU85dUciFwRTgmfE06u/uJBOP8Xx0uu5tg3PipwL+Bq+o4zuxwSOXDgUHARIILwIzwQgLwibtPIxi//bxwUMApBKM8HkcwprtI0ij5S8pw903A5QSDndV07lcOqbuKPeOsHwTcHg5w9z2gTzWvi29O8rjXzQmHGi4F3gAODtctij+Ou28PY7sLeJhgUiCRpFHyl5Ti7k8TJOezatikuvFOnGBWpakEtf5nCEYB7QVgZgOArnHbV448+QFhk084Kc4k4KPqjmNmvYAx7n4KQXPRjWamZllJGp1ckoouB75Uj+0vBP4eJuMY8H1gBbDVzN4kSPIfV31ROHjcVDObRzDI2iNh2351x1gH9DSz1wmafH7v7mX1KZRIfWhgNxGRFKRmHxGRFKTkLyKSgpT8RURSkJK/iEgKUvIXEUlBSv4iIilIyV9EJAX9f/2RV2kPd/FvAAAAAElFTkSuQmCC
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[13]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">sample_size_power_80p</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="k">for</span> <span class="n">vs</span><span class="p">,</span> <span class="n">vals</span> <span class="ow">in</span> <span class="n">powers_sample_size</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">val</span> <span class="ow">in</span> <span class="n">vals</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="n">e</span> <span class="o">=</span> <span class="n">interp1d</span><span class="p">(</span><span class="n">val</span><span class="p">[</span><span class="s1">&#39;p&#39;</span><span class="p">],</span> <span class="n">val</span><span class="p">[</span><span class="s1">&#39;es&#39;</span><span class="p">])(</span><span class="mf">0.8</span><span class="p">)</span>
<span class="n">name</span> <span class="o">=</span> <span class="n">f</span><span class="s2">&quot;{key.replace(&#39;_&#39;, &#39; &#39;).capitalize()}&quot;</span>
<span class="n">sample_size_power_80p</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">name</span><span class="p">,</span> <span class="s1">&#39; - &#39;</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">vs</span><span class="p">)]</span> <span class="o">=</span> <span class="n">e</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_text output_error">
<pre>
<span class="ansi-red-fg">---------------------------------------------------------------------------</span>
<span class="ansi-red-fg">NameError</span> Traceback (most recent call last)
<span class="ansi-green-fg">&lt;ipython-input-13-7929fdf41f49&gt;</span> in <span class="ansi-cyan-fg">&lt;module&gt;</span>
<span class="ansi-green-intense-fg ansi-bold"> 2</span> <span class="ansi-green-fg">for</span> vs<span class="ansi-blue-fg">,</span> vals <span class="ansi-green-fg">in</span> powers_sample_size<span class="ansi-blue-fg">.</span>items<span class="ansi-blue-fg">(</span><span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">:</span>
<span class="ansi-green-intense-fg ansi-bold"> 3</span> <span class="ansi-green-fg">for</span> key<span class="ansi-blue-fg">,</span> val <span class="ansi-green-fg">in</span> vals<span class="ansi-blue-fg">.</span>items<span class="ansi-blue-fg">(</span><span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">:</span>
<span class="ansi-green-fg">----&gt; 4</span><span class="ansi-red-fg"> </span>e <span class="ansi-blue-fg">=</span> interp1d<span class="ansi-blue-fg">(</span>val<span class="ansi-blue-fg">[</span><span class="ansi-blue-fg">&#39;p&#39;</span><span class="ansi-blue-fg">]</span><span class="ansi-blue-fg">,</span> val<span class="ansi-blue-fg">[</span><span class="ansi-blue-fg">&#39;es&#39;</span><span class="ansi-blue-fg">]</span><span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">(</span><span class="ansi-cyan-fg">0.8</span><span class="ansi-blue-fg">)</span>
<span class="ansi-green-intense-fg ansi-bold"> 5</span> name <span class="ansi-blue-fg">=</span> <span class="ansi-blue-fg">f&#34;{key.replace(&#39;_&#39;, &#39; &#39;).capitalize()}&#34;</span>
<span class="ansi-green-intense-fg ansi-bold"> 6</span> sample_size_power_80p<span class="ansi-blue-fg">.</span>loc<span class="ansi-blue-fg">[</span>name<span class="ansi-blue-fg">,</span> <span class="ansi-blue-fg">&#39; - &#39;</span><span class="ansi-blue-fg">.</span>join<span class="ansi-blue-fg">(</span>vs<span class="ansi-blue-fg">)</span><span class="ansi-blue-fg">]</span> <span class="ansi-blue-fg">=</span> e
<span class="ansi-red-fg">NameError</span>: name &#39;interp1d&#39; is not defined</pre>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">sample_size_power_80p</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Store-data">Store data<a class="anchor-link" href="#Store-data">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">sample_size_power_80p</span><span class="o">.</span><span class="n">to_latex</span><span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s2">&quot;statistics&quot;</span> <span class="o">/</span> <span class="n">f</span><span class="s2">&quot;sample_size_power.tex&quot;</span><span class="p">)</span>
<span class="n">sample_size_power_80p</span><span class="o">.</span><span class="n">to_csv</span><span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s2">&quot;statistics&quot;</span> <span class="o">/</span> <span class="n">f</span><span class="s2">&quot;sample_size_power.csv&quot;</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">savez</span><span class="p">(</span><span class="n">output_path</span> <span class="o">/</span> <span class="s1">&#39;data&#39;</span> <span class="o">/</span> <span class="s1">&#39;powers_sample_size.npz&#39;</span><span class="p">,</span> <span class="n">powers_sample_size</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Register-in-Expipe">Register in Expipe<a class="anchor-link" href="#Register-in-Expipe">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[148]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">action</span> <span class="o">=</span> <span class="n">project</span><span class="o">.</span><span class="n">require_action</span><span class="p">(</span><span class="s2">&quot;comparisons-power&quot;</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[149]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">copy_tree</span><span class="p">(</span><span class="n">output_path</span><span class="p">,</span> <span class="nb">str</span><span class="p">(</span><span class="n">action</span><span class="o">.</span><span class="n">data_path</span><span class="p">()))</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[149]:</div>
<div class="output_text output_subarea output_execute_result">
<pre>[&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/statistics/effect_size_power_80p.tex&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/statistics/effect_size_power_80p.csv&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/data/powers.npz&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_field_area.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_in_field_mean_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_gridness.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_field_area.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_spacing.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_information_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_speed_score.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_information_specificity.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_average_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_spacing.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_speed_score.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_field_area.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_speed_score.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_out_field_mean_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_average_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_field_area.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_out_field_mean_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_out_field_mean_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_in_field_mean_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_in_field_mean_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_max_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_information_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_max_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_information_specificity.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_information_specificity.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_max_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_gridness.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_information_specificity.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_gridness.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_field_area.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_gridness.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_in_field_mean_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_information_specificity.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_average_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_out_field_mean_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_out_field_mean_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_max_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_information_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_field_area.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_information_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_speed_score.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_max_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_average_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_in_field_mean_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_spacing.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_information_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_spacing.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_speed_score.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_information_specificity.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_in_field_mean_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_spacing.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_gridness.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-Baseline II_out_field_mean_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_average_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_gridness.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_information_rate.png&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_max_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_speed_score.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline II-30 Hz_average_rate.svg&#39;,
&#39;/media/storage/expipe/septum-mec/actions/comparisons-power/data/figures/Baseline I-11 Hz_spacing.png&#39;]</pre>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[150]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">septum_mec</span><span class="o">.</span><span class="n">analysis</span><span class="o">.</span><span class="n">registration</span><span class="o">.</span><span class="n">store_notebook</span><span class="p">(</span><span class="n">action</span><span class="p">,</span> <span class="s2">&quot;20_comparisons_power.ipynb&quot;</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
</div><div class="inner_cell">
<div class="text_cell_render border-box-sizing rendered_html">
<h1 id="Testing">Testing<a class="anchor-link" href="#Testing">&#182;</a></h1>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[213]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">vs</span><span class="p">,</span> <span class="n">key</span> <span class="o">=</span> <span class="n">vss</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="s1">&#39;gridness&#39;</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[&nbsp;]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">power</span><span class="p">,</span> <span class="n">sample_size</span><span class="p">,</span> <span class="n">effective_sample_size</span> <span class="o">=</span> <span class="n">estimate_sample_size_lmm</span><span class="p">(</span>
<span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">][</span><span class="n">key</span><span class="p">],</span> <span class="o">*</span><span class="n">vs</span><span class="p">,</span> <span class="n">effect_size</span><span class="o">=</span><span class="n">effect_sizes</span><span class="p">[</span><span class="n">key</span><span class="p">],</span> <span class="n">n_samples_range</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">300</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span> <span class="n">key</span><span class="o">=</span><span class="n">key</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[216]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="n">power</span><span class="p">,</span> <span class="n">sample_size</span><span class="p">,</span> <span class="n">effective_sample_size</span> <span class="o">=</span><span class="n">estimate_sample_size_lmm</span><span class="p">(</span>
<span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">][</span><span class="n">key</span><span class="p">],</span> <span class="o">*</span><span class="n">vs</span><span class="p">,</span> <span class="n">effect_size</span><span class="o">=</span><span class="n">effect_sizes</span><span class="p">[</span><span class="n">key</span><span class="p">],</span> <span class="n">n_samples_range</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">200</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span> <span class="n">n_repeats</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">key</span><span class="o">=</span><span class="n">key</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt"></div>
<div id="dd11e6d9-a37b-4a03-9e78-408e5910d811"></div>
<div class="output_subarea output_widget_view ">
<script type="text/javascript">
var element = $('#dd11e6d9-a37b-4a03-9e78-408e5910d811');
</script>
<script type="application/vnd.jupyter.widget-view+json">
{"model_id": "e280fa482c0b4d91aa6463176e88a5e5", "version_major": 2, "version_minor": 0}
</script>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>
</pre>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[198]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%%time</span>
<span class="n">power</span><span class="p">,</span> <span class="n">sample_size</span><span class="p">,</span> <span class="n">effective_sample_size</span> <span class="o">=</span> <span class="n">estimate_sample_size_lmm_paralell</span><span class="p">(</span>
<span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">][</span><span class="n">key</span><span class="p">],</span> <span class="o">*</span><span class="n">vs</span><span class="p">,</span> <span class="n">effect_size</span><span class="o">=</span><span class="n">effect_sizes</span><span class="p">[</span><span class="n">key</span><span class="p">],</span> <span class="n">n_samples_range</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">130</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span> <span class="n">n_repeats</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">key</span><span class="o">=</span><span class="n">key</span><span class="p">)</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt"></div>
<div class="output_subarea output_stream output_stdout output_text">
<pre>CPU times: user 992 ms, sys: 740 ms, total: 1.73 s
Wall time: 7min 45s
</pre>
</div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[223]:</div>
<div class="inner_cell">
<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span></span>
</pre></div>
</div>
</div>
</div>
</div>
<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[226]:</div>
<div class="inner_cell">
<div class="input_area">
<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">effective_sample_size</span><span class="p">,</span> <span class="n">power</span><span class="p">)</span>
<span class="n">estimated_sample_size</span> <span class="o">=</span> <span class="n">interp1d</span><span class="p">(</span><span class="n">power</span><span class="p">,</span> <span class="n">effective_sample_size</span><span class="p">)(</span><span class="mf">0.8</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axvline</span><span class="p">(</span><span class="n">estimated_sample_size</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="n">f</span><span class="s1">&#39;N=</span><span class="si">{estimated_sample_size:.0f}</span><span class="s1">&#39;</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;k&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">axhline</span><span class="p">(</span><span class="mf">0.8</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s1">&#39;k&#39;</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.1</span><span class="p">)</span>
<span class="n">n1</span><span class="p">,</span> <span class="n">n2</span> <span class="o">=</span> <span class="n">results</span><span class="p">[</span><span class="s1">&#39;gridcell&#39;</span><span class="p">][</span><span class="n">key</span><span class="p">][</span><span class="nb">list</span><span class="p">(</span><span class="n">vs</span><span class="p">)]</span><span class="o">.</span><span class="n">count</span><span class="p">()</span><span class="o">.</span><span class="n">values</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="n">f</span><span class="s2">&quot;</span><span class="si">{vs[0]}</span><span class="s2"> (</span><span class="si">{n1}</span><span class="s2">), </span><span class="si">{vs[1]}</span><span class="s2"> (</span><span class="si">{n2}</span><span class="s2">), {key.replace(&#39;_&#39;, &#39; &#39;).capitalize()} (</span><span class="si">{effect_sizes[key]}</span><span class="s2">)&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="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;Power p(~H0|H1)&#39;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">&#39;N neurons&#39;</span><span class="p">)</span>
<span class="c1"># plt.xlim(0,200)</span>
</pre></div>
</div>
</div>
</div>
<div class="output_wrapper">
<div class="output">
<div class="output_area">
<div class="prompt output_prompt">Out[226]:</div>
<div class="output_text output_subarea output_execute_result">
<pre>Text(0.5, 0, &#39;N neurons&#39;)</pre>
</div>
</div>
<div class="output_area">
<div class="prompt"></div>
<div class="output_png output_subarea ">
<img src="data:image/png;base64,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
"
>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</body>
</html>