.MathJax_Hover_Frame {
    border-radius: .25em;
    -webkit-border-radius: .25em;
    -moz-border-radius: .25em;
    -khtml-border-radius: .25em;
    box-shadow: 0px 0px 15px #83A;
    -webkit-box-shadow: 0px 0px 15px #83A;
    -moz-box-shadow: 0px 0px 15px #83A;
    -khtml-box-shadow: 0px 0px 15px #83A;
    border: 1px solid #A6D !important;
    display: inline-block;
    position: absolute
}

.MathJax_Menu_Button .MathJax_Hover_Arrow {
    position: absolute;
    cursor: pointer;
    display: inline-block;
    border: 2px solid #AAA;
    border-radius: 4px;
    -webkit-border-radius: 4px;
    -moz-border-radius: 4px;
    -khtml-border-radius: 4px;
    font-family: 'Courier New',Courier;
    font-size: 9px;
    color: #F0F0F0
}

    .MathJax_Menu_Button .MathJax_Hover_Arrow span {
        display: block;
        background-color: #AAA;
        border: 1px solid;
        border-radius: 3px;
        line-height: 0;
        padding: 4px
    }

.MathJax_Hover_Arrow:hover {
    color: white !important;
    border: 2px solid #CCC !important
}

    .MathJax_Hover_Arrow:hover span {
        background-color: #CCC !important
    }

#MathJax_About {
    position: fixed;
    left: 50%;
    width: auto;
    text-align: center;
    border: 3px outset;
    padding: 1em 2em;
    background-color: #DDDDDD;
    color: black;
    cursor: default;
    font-family: message-box;
    font-size: 120%;
    font-style: normal;
    text-indent: 0;
    text-transform: none;
    line-height: normal;
    letter-spacing: normal;
    word-spacing: normal;
    word-wrap: normal;
    white-space: nowrap;
    float: none;
    z-index: 201;
    border-radius: 15px;
    -webkit-border-radius: 15px;
    -moz-border-radius: 15px;
    -khtml-border-radius: 15px;
    box-shadow: 0px 10px 20px #808080;
    -webkit-box-shadow: 0px 10px 20px #808080;
    -moz-box-shadow: 0px 10px 20px #808080;
    -khtml-box-shadow: 0px 10px 20px #808080;
    filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')
}

#MathJax_About.MathJax_MousePost {
    outline: none
}

.MathJax_Menu {
    position: absolute;
    background-color: white;
    color: black;
    width: auto;
    padding: 2px;
    border: 1px solid #CCCCCC;
    margin: 0;
    cursor: default;
    font: menu;
    text-align: left;
    text-indent: 0;
    text-transform: none;
    line-height: normal;
    letter-spacing: normal;
    word-spacing: normal;
    word-wrap: normal;
    white-space: nowrap;
    float: none;
    z-index: 201;
    box-shadow: 0px 10px 20px #808080;
    -webkit-box-shadow: 0px 10px 20px #808080;
    -moz-box-shadow: 0px 10px 20px #808080;
    -khtml-box-shadow: 0px 10px 20px #808080;
    filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')
}

.MathJax_MenuItem {
    padding: 2px 2em;
    background: transparent
}

.MathJax_MenuArrow {
    position: absolute;
    right: .5em;
    padding-top: .25em;
    color: #666666;
    font-size: .75em
}

.MathJax_MenuActive .MathJax_MenuArrow {
    color: white
}

.MathJax_MenuArrow.RTL {
    left: .5em;
    right: auto
}

.MathJax_MenuCheck {
    position: absolute;
    left: .7em
}

    .MathJax_MenuCheck.RTL {
        right: .7em;
        left: auto
    }

.MathJax_MenuRadioCheck {
    position: absolute;
    left: 1em
}

    .MathJax_MenuRadioCheck.RTL {
        right: 1em;
        left: auto
    }

.MathJax_MenuLabel {
    padding: 2px 2em 4px 1.33em;
    font-style: italic
}

.MathJax_MenuRule {
    border-top: 1px solid #CCCCCC;
    margin: 4px 1px 0px
}

.MathJax_MenuDisabled {
    color: GrayText
}

.MathJax_MenuActive {
    background-color: Highlight;
    color: HighlightText
}

.MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus {
    background-color: #E8E8E8
}

.MathJax_ContextMenu:focus {
    outline: none
}

.MathJax_ContextMenu .MathJax_MenuItem:focus {
    outline: none
}

#MathJax_AboutClose {
    top: .2em;
    right: .2em
}

.MathJax_Menu .MathJax_MenuClose {
    top: -10px;
    left: -10px
}

.MathJax_MenuClose {
    position: absolute;
    cursor: pointer;
    display: inline-block;
    border: 2px solid #AAA;
    border-radius: 18px;
    -webkit-border-radius: 18px;
    -moz-border-radius: 18px;
    -khtml-border-radius: 18px;
    font-family: 'Courier New',Courier;
    font-size: 24px;
    color: #F0F0F0
}

    .MathJax_MenuClose span {
        display: block;
        background-color: #AAA;
        border: 1.5px solid;
        border-radius: 18px;
        -webkit-border-radius: 18px;
        -moz-border-radius: 18px;
        -khtml-border-radius: 18px;
        line-height: 0;
        padding: 8px 0 6px
    }

    .MathJax_MenuClose:hover {
        color: white !important;
        border: 2px solid #CCC !important
    }

        .MathJax_MenuClose:hover span {
            background-color: #CCC !important
        }

        .MathJax_MenuClose:hover:focus {
            outline: none
        }

.MathJax_Preview .MJXf-math {
    color: inherit !important
}

.MJX_Assistive_MathML {
    position: absolute !important;
    top: 0;
    left: 0;
    clip: rect(1px, 1px, 1px, 1px);
    padding: 1px 0 0 0 !important;
    border: 0 !important;
    height: 1px !important;
    width: 1px !important;
    overflow: hidden !important;
    display: block !important;
    -webkit-touch-callout: none;
    -webkit-user-select: none;
    -khtml-user-select: none;
    -moz-user-select: none;
    -ms-user-select: none;
    user-select: none
}

.MJX_Assistive_MathML.MJX_Assistive_MathML_Block {
    width: 100% !important
}

#MathJax_Zoom {
    position: absolute;
    background-color: #F0F0F0;
    overflow: auto;
    display: block;
    z-index: 301;
    padding: .5em;
    border: 1px solid black;
    margin: 0;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    text-indent: 0;
    text-transform: none;
    line-height: normal;
    letter-spacing: normal;
    word-spacing: normal;
    word-wrap: normal;
    white-space: nowrap;
    float: none;
    -webkit-box-sizing: content-box;
    -moz-box-sizing: content-box;
    box-sizing: content-box;
    box-shadow: 5px 5px 15px #AAAAAA;
    -webkit-box-shadow: 5px 5px 15px #AAAAAA;
    -moz-box-shadow: 5px 5px 15px #AAAAAA;
    -khtml-box-shadow: 5px 5px 15px #AAAAAA;
    filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')
}

#MathJax_ZoomOverlay {
    position: absolute;
    left: 0;
    top: 0;
    z-index: 300;
    display: inline-block;
    width: 100%;
    height: 100%;
    border: 0;
    padding: 0;
    margin: 0;
    background-color: white;
    opacity: 0;
    filter: alpha(opacity=0)
}

#MathJax_ZoomFrame {
    position: relative;
    display: inline-block;
    height: 0;
    width: 0
}

#MathJax_ZoomEventTrap {
    position: absolute;
    left: 0;
    top: 0;
    z-index: 302;
    display: inline-block;
    border: 0;
    padding: 0;
    margin: 0;
    background-color: white;
    opacity: 0;
    filter: alpha(opacity=0)
}

.MathJax_Preview {
    color: #888
}

#MathJax_Message {
    position: fixed;
    left: 1em;
    bottom: 1.5em;
    background-color: #E6E6E6;
    border: 1px solid #959595;
    margin: 0px;
    padding: 2px 8px;
    z-index: 102;
    color: black;
    font-size: 80%;
    width: auto;
    white-space: nowrap
}

#MathJax_MSIE_Frame {
    position: absolute;
    top: 0;
    left: 0;
    width: 0px;
    z-index: 101;
    border: 0px;
    margin: 0px;
    padding: 0px
}

.MathJax_Error {
    color: #CC0000;
    font-style: italic
}

.MJXp-script {
    font-size: .8em
}

.MJXp-right {
    -webkit-transform-origin: right;
    -moz-transform-origin: right;
    -ms-transform-origin: right;
    -o-transform-origin: right;
    transform-origin: right
}

.MJXp-bold {
    font-weight: bold
}

.MJXp-italic {
    font-style: italic
}

.MJXp-scr {
    font-family: MathJax_Script,'Times New Roman',Times,STIXGeneral,serif
}

.MJXp-frak {
    font-family: MathJax_Fraktur,'Times New Roman',Times,STIXGeneral,serif
}

.MJXp-sf {
    font-family: MathJax_SansSerif,'Times New Roman',Times,STIXGeneral,serif
}

.MJXp-cal {
    font-family: MathJax_Caligraphic,'Times New Roman',Times,STIXGeneral,serif
}

.MJXp-mono {
    font-family: MathJax_Typewriter,'Times New Roman',Times,STIXGeneral,serif
}

.MJXp-largeop {
    font-size: 150%
}

    .MJXp-largeop.MJXp-int {
        vertical-align: -.2em
    }

.MJXp-math {
    display: inline-block;
    line-height: 1.2;
    text-indent: 0;
    font-family: 'Times New Roman',Times,STIXGeneral,serif;
    white-space: nowrap;
    border-collapse: collapse
}

.MJXp-display {
    display: block;
    text-align: center;
    margin: 1em 0
}

.MJXp-math span {
    display: inline-block
}

.MJXp-box {
    display: block !important;
    text-align: center
}

    .MJXp-box:after {
        content: " "
    }

.MJXp-rule {
    display: block !important;
    margin-top: .1em
}

.MJXp-char {
    display: block !important
}

.MJXp-mo {
    margin: 0 .15em
}

.MJXp-mfrac {
    margin: 0 .125em;
    vertical-align: .25em
}

.MJXp-denom {
    display: inline-table !important;
    width: 100%
}

    .MJXp-denom > * {
        display: table-row !important
    }

.MJXp-surd {
    vertical-align: top
}

    .MJXp-surd > * {
        display: block !important
    }

.MJXp-script-box > * {
    display: table !important;
    height: 50%
}

    .MJXp-script-box > * > * {
        display: table-cell !important;
        vertical-align: top
    }

    .MJXp-script-box > *:last-child > * {
        vertical-align: bottom
    }

    .MJXp-script-box > * > * > * {
        display: block !important
    }

.MJXp-mphantom {
    visibility: hidden
}

.MJXp-munderover {
    display: inline-table !important
}

.MJXp-over {
    display: inline-block !important;
    text-align: center
}

    .MJXp-over > * {
        display: block !important
    }

.MJXp-munderover > * {
    display: table-row !important
}

.MJXp-mtable {
    vertical-align: .25em;
    margin: 0 .125em
}

    .MJXp-mtable > * {
        display: inline-table !important;
        vertical-align: middle
    }

.MJXp-mtr {
    display: table-row !important
}

.MJXp-mtd {
    display: table-cell !important;
    text-align: center;
    padding: .5em 0 0 .5em
}

.MJXp-mtr > .MJXp-mtd:first-child {
    padding-left: 0
}

.MJXp-mtr:first-child > .MJXp-mtd {
    padding-top: 0
}

.MJXp-mlabeledtr {
    display: table-row !important
}

    .MJXp-mlabeledtr > .MJXp-mtd:first-child {
        padding-left: 0
    }

    .MJXp-mlabeledtr:first-child > .MJXp-mtd {
        padding-top: 0
    }

.MJXp-merror {
    background-color: #FFFF88;
    color: #CC0000;
    border: 1px solid #CC0000;
    padding: 1px 3px;
    font-style: normal;
    font-size: 90%
}

.MJXp-scale0 {
    -webkit-transform: scaleX(.0);
    -moz-transform: scaleX(.0);
    -ms-transform: scaleX(.0);
    -o-transform: scaleX(.0);
    transform: scaleX(.0)
}

.MJXp-scale1 {
    -webkit-transform: scaleX(.1);
    -moz-transform: scaleX(.1);
    -ms-transform: scaleX(.1);
    -o-transform: scaleX(.1);
    transform: scaleX(.1)
}

.MJXp-scale2 {
    -webkit-transform: scaleX(.2);
    -moz-transform: scaleX(.2);
    -ms-transform: scaleX(.2);
    -o-transform: scaleX(.2);
    transform: scaleX(.2)
}

.MJXp-scale3 {
    -webkit-transform: scaleX(.3);
    -moz-transform: scaleX(.3);
    -ms-transform: scaleX(.3);
    -o-transform: scaleX(.3);
    transform: scaleX(.3)
}

.MJXp-scale4 {
    -webkit-transform: scaleX(.4);
    -moz-transform: scaleX(.4);
    -ms-transform: scaleX(.4);
    -o-transform: scaleX(.4);
    transform: scaleX(.4)
}

.MJXp-scale5 {
    -webkit-transform: scaleX(.5);
    -moz-transform: scaleX(.5);
    -ms-transform: scaleX(.5);
    -o-transform: scaleX(.5);
    transform: scaleX(.5)
}

.MJXp-scale6 {
    -webkit-transform: scaleX(.6);
    -moz-transform: scaleX(.6);
    -ms-transform: scaleX(.6);
    -o-transform: scaleX(.6);
    transform: scaleX(.6)
}

.MJXp-scale7 {
    -webkit-transform: scaleX(.7);
    -moz-transform: scaleX(.7);
    -ms-transform: scaleX(.7);
    -o-transform: scaleX(.7);
    transform: scaleX(.7)
}

.MJXp-scale8 {
    -webkit-transform: scaleX(.8);
    -moz-transform: scaleX(.8);
    -ms-transform: scaleX(.8);
    -o-transform: scaleX(.8);
    transform: scaleX(.8)
}

.MJXp-scale9 {
    -webkit-transform: scaleX(.9);
    -moz-transform: scaleX(.9);
    -ms-transform: scaleX(.9);
    -o-transform: scaleX(.9);
    transform: scaleX(.9)
}

.mjx-chtml {
    display: inline-block;
    line-height: 0;
    text-indent: 0;
    text-align: left;
    text-transform: none;
    font-style: normal;
    font-weight: normal;
    font-size: 100%;
    font-size-adjust: none;
    letter-spacing: normal;
    word-wrap: normal;
    word-spacing: normal;
    white-space: nowrap;
    float: none;
    direction: ltr;
    max-width: none;
    max-height: none;
    min-width: 0;
    min-height: 0;
    border: 0;
    margin: 0;
    padding: 1px 0
}

.MJXc-display {
    display: block;
    text-align: center;
    margin: 1em 0;
    padding: 0
}

.mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex] {
    display: inline-table
}

.mjx-math {
    display: inline-block;
    border-collapse: separate;
    border-spacing: 0
}

    .mjx-math * {
        display: inline-block;
        text-align: left
    }

.mjx-numerator {
    display: block;
    text-align: center
}

.mjx-denominator {
    display: block;
    text-align: center
}

.MJXc-stacked {
    height: 0;
    position: relative
}

    .MJXc-stacked > * {
        position: absolute
    }

.MJXc-bevelled > * {
    display: inline-block
}

.mjx-stack {
    display: inline-block
}

.mjx-op {
    display: block
}

.mjx-under {
    display: table-cell
}

.mjx-over {
    display: block
}

    .mjx-over > * {
        padding-left: 0px !important;
        padding-right: 0px !important
    }

.mjx-under > * {
    padding-left: 0px !important;
    padding-right: 0px !important
}

.mjx-stack > .mjx-sup {
    display: block
}

.mjx-stack > .mjx-sub {
    display: block
}

.mjx-prestack > .mjx-presup {
    display: block
}

.mjx-prestack > .mjx-presub {
    display: block
}

.mjx-delim-h > .mjx-char {
    display: inline-block
}

.mjx-surd {
    vertical-align: top
}

.mjx-mphantom * {
    visibility: hidden
}

.mjx-merror {
    background-color: #FFFF88;
    color: #CC0000;
    border: 1px solid #CC0000;
    padding: 2px 3px;
    font-style: normal;
    font-size: 90%
}

.mjx-annotation-xml {
    line-height: normal
}

.mjx-menclose > svg {
    fill: none;
    stroke: currentColor
}

.mjx-mtr {
    display: table-row
}

.mjx-mlabeledtr {
    display: table-row
}

.mjx-mtd {
    display: table-cell;
    text-align: center
}

.mjx-label {
    display: block
}

.mjx-box {
    display: inline-block
}

.mjx-block {
    display: block
}

.mjx-span {
    display: span
}

.mjx-char {
    display: block;
    white-space: pre
}

.mjx-itable {
    display: inline-table
}

.mjx-row {
    display: table-row
}

.mjx-cell {
    display: table-cell
}

.mjx-table {
    display: table;
    width: 100%
}

.mjx-line {
    display: block;
    height: 0
}

.mjx-strut {
    width: 0;
    padding-top: 1em
}

.mjx-vsize {
    width: 0
}

.MJXc-space1 {
    margin-left: .167em
}

.MJXc-space2 {
    margin-left: .222em
}

.MJXc-space3 {
    margin-left: .278em
}

.mjx-chartest {
    display: block;
    visibility: hidden;
    position: absolute;
    top: 0;
    line-height: normal;
    font-size: 500%
}

    .mjx-chartest .mjx-char {
        display: inline
    }

    .mjx-chartest .mjx-box {
        padding-top: 1000px
    }

.MJXc-processing {
    visibility: hidden;
    position: fixed;
    width: 0;
    height: 0;
    overflow: hidden
}

.MJXc-processed {
    display: none
}

.mjx-test {
    display: block;
    font-style: normal;
    font-weight: normal;
    font-size: 100%;
    font-size-adjust: none;
    text-indent: 0;
    text-transform: none;
    letter-spacing: normal;
    word-spacing: normal;
    overflow: hidden;
    height: 1px
}

.mjx-ex-box-test {
    position: absolute;
    width: 1px;
    height: 60ex
}

#MathJax_CHTML_Tooltip {
    background-color: InfoBackground;
    color: InfoText;
    border: 1px solid black;
    box-shadow: 2px 2px 5px #AAAAAA;
    -webkit-box-shadow: 2px 2px 5px #AAAAAA;
    -moz-box-shadow: 2px 2px 5px #AAAAAA;
    -khtml-box-shadow: 2px 2px 5px #AAAAAA;
    padding: 3px 4px;
    z-index: 401;
    position: absolute;
    left: 0;
    top: 0;
    width: auto;
    height: auto;
    display: none
}

.MJXc-TeX-unknown-R {
    font-family: STIXGeneral,'Cambria Math','Arial Unicode MS',serif;
    font-style: normal;
    font-weight: normal
}

.MJXc-TeX-unknown-I {
    font-family: STIXGeneral,'Cambria Math','Arial Unicode MS',serif;
    font-style: italic;
    font-weight: normal
}

.MJXc-TeX-unknown-B {
    font-family: STIXGeneral,'Cambria Math','Arial Unicode MS',serif;
    font-style: normal;
    font-weight: bold
}

.MJXc-TeX-unknown-BI {
    font-family: STIXGeneral,'Cambria Math','Arial Unicode MS',serif;
    font-style: italic;
    font-weight: bold
}

.MJXc-TeX-ams-R {
    font-family: MJXc-TeX-ams-R,MJXc-TeX-ams-Rw
}

.MJXc-TeX-cal-B {
    font-family: MJXc-TeX-cal-B,MJXc-TeX-cal-Bx,MJXc-TeX-cal-Bw
}

.MJXc-TeX-frak-R {
    font-family: MJXc-TeX-frak-R,MJXc-TeX-frak-Rw
}

.MJXc-TeX-frak-B {
    font-family: MJXc-TeX-frak-B,MJXc-TeX-frak-Bx,MJXc-TeX-frak-Bw
}

.MJXc-TeX-math-BI {
    font-family: MJXc-TeX-math-BI,MJXc-TeX-math-BIx,MJXc-TeX-math-BIw
}

.MJXc-TeX-sans-R {
    font-family: MJXc-TeX-sans-R,MJXc-TeX-sans-Rw
}

.MJXc-TeX-sans-B {
    font-family: MJXc-TeX-sans-B,MJXc-TeX-sans-Bx,MJXc-TeX-sans-Bw
}

.MJXc-TeX-sans-I {
    font-family: MJXc-TeX-sans-I,MJXc-TeX-sans-Ix,MJXc-TeX-sans-Iw
}

.MJXc-TeX-script-R {
    font-family: MJXc-TeX-script-R,MJXc-TeX-script-Rw
}

.MJXc-TeX-type-R {
    font-family: MJXc-TeX-type-R,MJXc-TeX-type-Rw
}

.MJXc-TeX-cal-R {
    font-family: MJXc-TeX-cal-R,MJXc-TeX-cal-Rw
}

.MJXc-TeX-main-B {
    font-family: MJXc-TeX-main-B,MJXc-TeX-main-Bx,MJXc-TeX-main-Bw
}

.MJXc-TeX-main-I {
    font-family: MJXc-TeX-main-I,MJXc-TeX-main-Ix,MJXc-TeX-main-Iw
}

.MJXc-TeX-main-R {
    font-family: MJXc-TeX-main-R,MJXc-TeX-main-Rw
}

.MJXc-TeX-math-I {
    font-family: MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw
}

.MJXc-TeX-size1-R {
    font-family: MJXc-TeX-size1-R,MJXc-TeX-size1-Rw
}

.MJXc-TeX-size2-R {
    font-family: MJXc-TeX-size2-R,MJXc-TeX-size2-Rw
}

.MJXc-TeX-size3-R {
    font-family: MJXc-TeX-size3-R,MJXc-TeX-size3-Rw
}

.MJXc-TeX-size4-R {
    font-family: MJXc-TeX-size4-R,MJXc-TeX-size4-Rw
}

@font-face {
    font-family: MJXc-TeX-ams-R;
    src: local('MathJax_AMS'), local('MathJax_AMS-Regular')
}

@font-face {
    font-family: MJXc-TeX-ams-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_AMS-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_AMS-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_AMS-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-cal-B;
    src: local('MathJax_Caligraphic Bold'), local('MathJax_Caligraphic-Bold')
}

@font-face {
    font-family: MJXc-TeX-cal-Bx;
    src: local('MathJax_Caligraphic');
    font-weight: bold
}

@font-face {
    font-family: MJXc-TeX-cal-Bw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Caligraphic-Bold.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Caligraphic-Bold.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Caligraphic-Bold.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-frak-R;
    src: local('MathJax_Fraktur'), local('MathJax_Fraktur-Regular')
}

@font-face {
    font-family: MJXc-TeX-frak-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Fraktur-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Fraktur-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-frak-B;
    src: local('MathJax_Fraktur Bold'), local('MathJax_Fraktur-Bold')
}

@font-face {
    font-family: MJXc-TeX-frak-Bx;
    src: local('MathJax_Fraktur');
    font-weight: bold
}

@font-face {
    font-family: MJXc-TeX-frak-Bw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Bold.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Fraktur-Bold.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Fraktur-Bold.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-math-BI;
    src: local('MathJax_Math BoldItalic'), local('MathJax_Math-BoldItalic')
}

@font-face {
    font-family: MJXc-TeX-math-BIx;
    src: local('MathJax_Math');
    font-weight: bold;
    font-style: italic
}

@font-face {
    font-family: MJXc-TeX-math-BIw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Math-BoldItalic.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Math-BoldItalic.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Math-BoldItalic.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-sans-R;
    src: local('MathJax_SansSerif'), local('MathJax_SansSerif-Regular')
}

@font-face {
    font-family: MJXc-TeX-sans-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_SansSerif-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_SansSerif-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_SansSerif-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-sans-B;
    src: local('MathJax_SansSerif Bold'), local('MathJax_SansSerif-Bold')
}

@font-face {
    font-family: MJXc-TeX-sans-Bx;
    src: local('MathJax_SansSerif');
    font-weight: bold
}

@font-face {
    font-family: MJXc-TeX-sans-Bw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_SansSerif-Bold.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_SansSerif-Bold.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_SansSerif-Bold.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-sans-I;
    src: local('MathJax_SansSerif Italic'), local('MathJax_SansSerif-Italic')
}

@font-face {
    font-family: MJXc-TeX-sans-Ix;
    src: local('MathJax_SansSerif');
    font-style: italic
}

@font-face {
    font-family: MJXc-TeX-sans-Iw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_SansSerif-Italic.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_SansSerif-Italic.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_SansSerif-Italic.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-script-R;
    src: local('MathJax_Script'), local('MathJax_Script-Regular')
}

@font-face {
    font-family: MJXc-TeX-script-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Script-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Script-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Script-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-type-R;
    src: local('MathJax_Typewriter'), local('MathJax_Typewriter-Regular')
}

@font-face {
    font-family: MJXc-TeX-type-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Typewriter-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Typewriter-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Typewriter-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-cal-R;
    src: local('MathJax_Caligraphic'), local('MathJax_Caligraphic-Regular')
}

@font-face {
    font-family: MJXc-TeX-cal-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Caligraphic-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Caligraphic-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Caligraphic-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-main-B;
    src: local('MathJax_Main Bold'), local('MathJax_Main-Bold')
}

@font-face {
    font-family: MJXc-TeX-main-Bx;
    src: local('MathJax_Main');
    font-weight: bold
}

@font-face {
    font-family: MJXc-TeX-main-Bw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Main-Bold.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Main-Bold.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Main-Bold.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-main-I;
    src: local('MathJax_Main Italic'), local('MathJax_Main-Italic')
}

@font-face {
    font-family: MJXc-TeX-main-Ix;
    src: local('MathJax_Main');
    font-style: italic
}

@font-face {
    font-family: MJXc-TeX-main-Iw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Main-Italic.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Main-Italic.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Main-Italic.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-main-R;
    src: local('MathJax_Main'), local('MathJax_Main-Regular')
}

@font-face {
    font-family: MJXc-TeX-main-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Main-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Main-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Main-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-math-I;
    src: local('MathJax_Math Italic'), local('MathJax_Math-Italic')
}

@font-face {
    font-family: MJXc-TeX-math-Ix;
    src: local('MathJax_Math');
    font-style: italic
}

@font-face {
    font-family: MJXc-TeX-math-Iw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Math-Italic.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Math-Italic.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Math-Italic.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-size1-R;
    src: local('MathJax_Size1'), local('MathJax_Size1-Regular')
}

@font-face {
    font-family: MJXc-TeX-size1-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Size1-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Size1-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Size1-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-size2-R;
    src: local('MathJax_Size2'), local('MathJax_Size2-Regular')
}

@font-face {
    font-family: MJXc-TeX-size2-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Size2-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Size2-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Size2-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-size3-R;
    src: local('MathJax_Size3'), local('MathJax_Size3-Regular')
}

@font-face {
    font-family: MJXc-TeX-size3-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Size3-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Size3-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Size3-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-size4-R;
    src: local('MathJax_Size4'), local('MathJax_Size4-Regular')
}

@font-face {
    font-family: MJXc-TeX-size4-Rw;
    src /*1*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/eot/MathJax_Size4-Regular.eot');
    src /*2*/: url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/woff/MathJax_Size4-Regular.woff') format('woff'), url('https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.6.1/fonts/HTML-CSS/TeX/otf/MathJax_Size4-Regular.otf') format('opentype')
}

.fb_hidden {
    position: absolute;
    top: -10000px;
    z-index: 10001
}

.fb_reposition {
    overflow: hidden;
    position: relative
}

.fb_invisible {
    display: none
}

.fb_reset {
    background: none;
    border: 0;
    border-spacing: 0;
    color: #000;
    cursor: auto;
    direction: ltr;
    font-family: "lucida grande", tahoma, verdana, arial, sans-serif;
    font-size: 11px;
    font-style: normal;
    font-variant: normal;
    font-weight: normal;
    letter-spacing: normal;
    line-height: 1;
    margin: 0;
    overflow: visible;
    padding: 0;
    text-align: left;
    text-decoration: none;
    text-indent: 0;
    text-shadow: none;
    text-transform: none;
    visibility: visible;
    white-space: normal;
    word-spacing: normal
}

    .fb_reset > div {
        overflow: hidden
    }

@keyframes fb_transform {
    from {
        opacity: 0;
        transform: scale(.95)
    }

    to {
        opacity: 1;
        transform: scale(1)
    }
}

.fb_animate {
    animation: fb_transform .3s forwards
}

.fb_dialog {
    background: rgba(82, 82, 82, .7);
    position: absolute;
    top: -10000px;
    z-index: 10001
}

.fb_dialog_advanced {
    border-radius: 8px;
    padding: 10px
}

.fb_dialog_content {
    background: #fff;
    color: #373737
}

.fb_dialog_close_icon {
    background: url(https://static.xx.fbcdn.net/rsrc.php/v3/yq/r/IE9JII6Z1Ys.png) no-repeat scroll 0 0 transparent;
    cursor: pointer;
    display: block;
    height: 15px;
    position: absolute;
    right: 18px;
    top: 17px;
    width: 15px
}

.fb_dialog_mobile .fb_dialog_close_icon {
    left: 5px;
    right: auto;
    top: 5px
}

.fb_dialog_padding {
    background-color: transparent;
    position: absolute;
    width: 1px;
    z-index: -1
}

.fb_dialog_close_icon:hover {
    background: url(https://static.xx.fbcdn.net/rsrc.php/v3/yq/r/IE9JII6Z1Ys.png) no-repeat scroll 0 -15px transparent
}

.fb_dialog_close_icon:active {
    background: url(https://static.xx.fbcdn.net/rsrc.php/v3/yq/r/IE9JII6Z1Ys.png) no-repeat scroll 0 -30px transparent
}

.fb_dialog_iframe {
    line-height: 0
}

.fb_dialog_content .dialog_title {
    background: #6d84b4;
    border: 1px solid #365899;
    color: #fff;
    font-size: 14px;
    font-weight: bold;
    margin: 0
}

    .fb_dialog_content .dialog_title > span {
        background: url(https://static.xx.fbcdn.net/rsrc.php/v3/yd/r/Cou7n-nqK52.gif) no-repeat 5px 50%;
        float: left;
        padding: 5px 0 7px 26px
    }

body.fb_hidden {
    height: 100%;
    left: 0;
    margin: 0;
    overflow: visible;
    position: absolute;
    top: -10000px;
    transform: none;
    width: 100%
}

.fb_dialog.fb_dialog_mobile.loading {
    background: url(https://static.xx.fbcdn.net/rsrc.php/v3/ya/r/3rhSv5V8j3o.gif) white no-repeat 50% 50%;
    min-height: 100%;
    min-width: 100%;
    overflow: hidden;
    position: absolute;
    top: 0;
    z-index: 10001
}

    .fb_dialog.fb_dialog_mobile.loading.centered {
        background: none;
        height: auto;
        min-height: initial;
        min-width: initial;
        width: auto
    }

        .fb_dialog.fb_dialog_mobile.loading.centered #fb_dialog_loader_spinner {
            width: 100%
        }

        .fb_dialog.fb_dialog_mobile.loading.centered .fb_dialog_content {
            background: none
        }

.loading.centered #fb_dialog_loader_close {
    clear: both;
    color: #fff;
    display: block;
    font-size: 18px;
    padding-top: 20px
}

#fb-root #fb_dialog_ipad_overlay {
    background: rgba(0, 0, 0, .4);
    bottom: 0;
    left: 0;
    min-height: 100%;
    position: absolute;
    right: 0;
    top: 0;
    width: 100%;
    z-index: 10000
}

    #fb-root #fb_dialog_ipad_overlay.hidden {
        display: none
    }

.fb_dialog.fb_dialog_mobile.loading iframe {
    visibility: hidden
}

.fb_dialog_mobile .fb_dialog_iframe {
    position: sticky;
    top: 0
}

.fb_dialog_content .dialog_header {
    background: linear-gradient(from(#738aba), to(#2c4987));
    border-bottom: 1px solid;
    border-color: #1d3c78;
    box-shadow: white 0 1px 1px -1px inset;
    color: #fff;
    font: bold 14px Helvetica, sans-serif;
    text-overflow: ellipsis;
    text-shadow: rgba(0, 30, 84, .296875) 0 -1px 0;
    vertical-align: middle;
    white-space: nowrap
}

    .fb_dialog_content .dialog_header table {
        height: 43px;
        width: 100%
    }

    .fb_dialog_content .dialog_header td.header_left {
        font-size: 12px;
        padding-left: 5px;
        vertical-align: middle;
        width: 60px
    }

    .fb_dialog_content .dialog_header td.header_right {
        font-size: 12px;
        padding-right: 5px;
        vertical-align: middle;
        width: 60px
    }

.fb_dialog_content .touchable_button {
    background: linear-gradient(from(#4267B2), to(#2a4887));
    background-clip: padding-box;
    border: 1px solid #29487d;
    border-radius: 3px;
    display: inline-block;
    line-height: 18px;
    margin-top: 3px;
    max-width: 85px;
    padding: 4px 12px;
    position: relative
}

.fb_dialog_content .dialog_header .touchable_button input {
    background: none;
    border: none;
    color: #fff;
    font: bold 12px Helvetica, sans-serif;
    margin: 2px -12px;
    padding: 2px 6px 3px 6px;
    text-shadow: rgba(0, 30, 84, .296875) 0 -1px 0
}

.fb_dialog_content .dialog_header .header_center {
    color: #fff;
    font-size: 16px;
    font-weight: bold;
    line-height: 18px;
    text-align: center;
    vertical-align: middle
}

.fb_dialog_content .dialog_content {
    background: url(https://static.xx.fbcdn.net/rsrc.php/v3/y9/r/jKEcVPZFk-2.gif) no-repeat 50% 50%;
    border: 1px solid #4a4a4a;
    border-bottom: 0;
    border-top: 0;
    height: 150px
}

.fb_dialog_content .dialog_footer {
    background: #f5f6f7;
    border: 1px solid #4a4a4a;
    border-top-color: #ccc;
    height: 40px
}

#fb_dialog_loader_close {
    float: left
}

.fb_dialog.fb_dialog_mobile .fb_dialog_close_button {
    text-shadow: rgba(0, 30, 84, .296875) 0 -1px 0
}

.fb_dialog.fb_dialog_mobile .fb_dialog_close_icon {
    visibility: hidden
}

#fb_dialog_loader_spinner {
    animation: rotateSpinner 1.2s linear infinite;
    background-color: transparent;
    background-image: url(https://static.xx.fbcdn.net/rsrc.php/v3/yD/r/t-wz8gw1xG1.png);
    background-position: 50% 50%;
    background-repeat: no-repeat;
    height: 24px;
    width: 24px
}

@keyframes rotateSpinner {
    0% {
        transform: rotate(0deg)
    }

    100% {
        transform: rotate(360deg)
    }
}

.fb_iframe_widget {
    display: inline-block;
    position: relative
}

    .fb_iframe_widget span {
        display: inline-block;
        position: relative;
        text-align: justify
    }

    .fb_iframe_widget iframe {
        position: absolute
    }

.fb_iframe_widget_fluid_desktop, .fb_iframe_widget_fluid_desktop span, .fb_iframe_widget_fluid_desktop iframe {
    max-width: 100%
}

    .fb_iframe_widget_fluid_desktop iframe {
        min-width: 220px;
        position: relative
    }

.fb_iframe_widget_lift {
    z-index: 1
}

.fb_iframe_widget_fluid {
    display: inline
}

    .fb_iframe_widget_fluid span {
        width: 100%
    }

.fb_customer_chat_bounce_in_v2 {
    animation-duration: 300ms;
    animation-name: fb_bounce_in_v2;
    transition-timing-function: ease-in
}

.fb_customer_chat_bounce_out_v2 {
    animation-duration: 300ms;
    animation-name: fb_bounce_out_v2;
    transition-timing-function: ease-in
}

.fb_customer_chat_bounce_in_v2_mobile_chat_started {
    animation-duration: 300ms;
    animation-name: fb_bounce_in_v2_mobile_chat_started;
    transition-timing-function: ease-in
}

.fb_customer_chat_bounce_out_v2_mobile_chat_started {
    animation-duration: 300ms;
    animation-name: fb_bounce_out_v2_mobile_chat_started;
    transition-timing-function: ease-in
}

.fb_customer_chat_bubble_pop_in {
    animation-duration: 250ms;
    animation-name: fb_customer_chat_bubble_bounce_in_animation
}

.fb_customer_chat_bubble_animated_no_badge {
    box-shadow: 0 3px 12px rgba(0, 0, 0, .15);
    transition: box-shadow 150ms linear
}

    .fb_customer_chat_bubble_animated_no_badge:hover {
        box-shadow: 0 5px 24px rgba(0, 0, 0, .3)
    }

.fb_customer_chat_bubble_animated_with_badge {
    box-shadow: -5px 4px 14px rgba(0, 0, 0, .15);
    transition: box-shadow 150ms linear
}

    .fb_customer_chat_bubble_animated_with_badge:hover {
        box-shadow: -5px 8px 24px rgba(0, 0, 0, .2)
    }

.fb_invisible_flow {
    display: inherit;
    height: 0;
    overflow-x: hidden;
    width: 0
}

.fb_mobile_overlay_active {
    background-color: #fff;
    height: 100%;
    overflow: hidden;
    position: fixed;
    visibility: hidden;
    width: 100%
}

@keyframes fb_bounce_in_v2 {
    0% {
        opacity: 0;
        transform: scale(0, 0);
        transform-origin: bottom right
    }

    50% {
        transform: scale(1.03, 1.03);
        transform-origin: bottom right
    }

    100% {
        opacity: 1;
        transform: scale(1, 1);
        transform-origin: bottom right
    }
}

@keyframes fb_bounce_in_v2_mobile_chat_started {
    0% {
        opacity: 0;
        top: 20px
    }

    100% {
        opacity: 1;
        top: 0
    }
}

@keyframes fb_bounce_out_v2 {
    0% {
        opacity: 1;
        transform: scale(1, 1);
        transform-origin: bottom right
    }

    100% {
        opacity: 0;
        transform: scale(0, 0);
        transform-origin: bottom right
    }
}

@keyframes fb_bounce_out_v2_mobile_chat_started {
    0% {
        opacity: 1;
        top: 0
    }

    100% {
        opacity: 0;
        top: 20px
    }
}

@keyframes fb_customer_chat_bubble_bounce_in_animation {
    0% {
        bottom: 6pt;
        opacity: 0;
        transform: scale(0, 0);
        transform-origin: center
    }

    70% {
        bottom: 18pt;
        opacity: 1;
        transform: scale(1.2, 1.2)
    }

    100% {
        transform: scale(1, 1)
    }
}