/* Minimal KaTeX CSS - Optimized for basic math with fractions */
/* Formulas: s = \tfrac{1}{2}(v+u)t, v = \tfrac{2s}{t} - u, u = \tfrac{2s}{t} - v, t = \tfrac{2s}{v+u} */

/* Required Font Faces */
@font-face {
    font-family: KaTeX_Main;
    font-style: normal;
    font-weight: 400;
    font-display: swap;
    src: url(fonts/KaTeX_Main-Regular.woff2) format("woff2"), url(fonts/KaTeX_Main-Regular.woff) format("woff"), url(fonts/KaTeX_Main-Regular.ttf) format("truetype")
}

@font-face {
    font-family: KaTeX_Size1;
    font-style: normal;
    font-weight: 400;
    font-display: swap;
    src: url(fonts/KaTeX_Size1-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size1-Regular.woff) format("woff"), url(fonts/KaTeX_Size1-Regular.ttf) format("truetype")
}

@font-face {
    font-family: KaTeX_Size2;
    font-style: normal;
    font-weight: 400;
    font-display: swap;
    src: url(fonts/KaTeX_Size2-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size2-Regular.woff) format("woff"), url(fonts/KaTeX_Size2-Regular.ttf) format("truetype")
}

@font-face {
    font-family: KaTeX_Size3;
    font-style: normal;
    font-weight: 400;
    font-display: swap;
    src: url(fonts/KaTeX_Size3-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size3-Regular.woff) format("woff"), url(fonts/KaTeX_Size3-Regular.ttf) format("truetype")
}

/* Base KaTeX Styles */
.katex {
    text-rendering: auto;
    font: normal 1.21em KaTeX_Main, Times New Roman, serif;
    line-height: 1.2;
    text-indent: 0
}

.katex * {
    -ms-high-contrast-adjust: none !important;
    border-color: currentColor
}

.katex .katex-version:after {
    content: "0.16.9"
}

.katex .katex-mathml {
    clip: rect(1px, 1px, 1px, 1px);
    border: 0;
    height: 1px;
    overflow: hidden;
    padding: 0;
    position: absolute;
    width: 1px
}

.katex .katex-html>.newline {
    display: block
}

/* Core Layout */
.katex .base {
    position: relative;
    white-space: nowrap;
    width: -webkit-min-content;
    width: -moz-min-content;
    width: min-content
}

.katex .base,
.katex .strut {
    display: inline-block
}

/* Vertical List (for fractions) */
.katex .vlist-t {
    border-collapse: collapse;
    display: inline-table;
    table-layout: fixed
}

.katex .vlist-r {
    display: table-row
}

.katex .vlist {
    display: table-cell;
    position: relative;
    vertical-align: bottom
}

.katex .vlist>span {
    display: block;
    height: 0;
    position: relative
}

.katex .vlist>span>span {
    display: inline-block
}

.katex .vlist>span>.pstrut {
    overflow: hidden;
    width: 0
}

.katex .vlist-t2 {
    margin-right: -2px
}

.katex .vlist-s {
    display: table-cell;
    font-size: 1px;
    min-width: 2px;
    vertical-align: bottom;
    width: 2px
}

/* Horizontal Box */
.katex .hbox {
    width: 100%
}

.katex .hbox,
.katex .thinbox {
    display: inline-flex;
    flex-direction: row
}

.katex .thinbox {
    max-width: 0;
    width: 0
}

/* Fractions */
.katex .mfrac>span>span {
    text-align: center
}

.katex .mfrac .frac-line {
    border-bottom-style: solid;
    display: inline-block;
    width: 100%
}

.katex .mfrac .frac-line,
.katex .rule {
    min-height: 1px
}

.katex .rule {
    border: 0 solid;
    display: inline-block;
    position: relative
}

/* Spacing */
.katex .mspace {
    display: inline-block
}

/* Font Sizing - Only sizes needed for inline fractions */
.katex .fontsize-ensurer.reset-size1.size1,
.katex .sizing.reset-size1.size1 {
    font-size: 1em
}

.katex .fontsize-ensurer.reset-size1.size2,
.katex .sizing.reset-size1.size2 {
    font-size: 1.2em
}

.katex .fontsize-ensurer.reset-size1.size3,
.katex .sizing.reset-size1.size3 {
    font-size: 1.4em
}

/* Delimiter sizing (for parentheses) */
.katex .delimsizing.size1 {
    font-family: KaTeX_Size1
}

.katex .delimsizing.size2 {
    font-family: KaTeX_Size2
}

.katex .delimsizing.size3 {
    font-family: KaTeX_Size3
}