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@font-face { font-family: KaTeX_Caligraphic; font-style: normal; font-weight: 700; src: url("fonts/KaTeX_Caligraphic-Bold.woff2") format("woff2"), url("fonts/KaTeX_Caligraphic-Bold.woff") format("woff"), url("fonts/KaTeX_Caligraphic-Bold.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Caligraphic; font-style: normal; font-weight: 400; src: url("fonts/KaTeX_Caligraphic-Regular.woff2") format("woff2"), url("fonts/KaTeX_Caligraphic-Regular.woff") format("woff"), url("fonts/KaTeX_Caligraphic-Regular.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Fraktur; font-style: normal; font-weight: 700; src: url("fonts/KaTeX_Fraktur-Bold.woff2") format("woff2"), url("fonts/KaTeX_Fraktur-Bold.woff") format("woff"), url("fonts/KaTeX_Fraktur-Bold.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Fraktur; font-style: normal; font-weight: 400; src: url("fonts/KaTeX_Fraktur-Regular.woff2") format("woff2"), url("fonts/KaTeX_Fraktur-Regular.woff") format("woff"), url("fonts/KaTeX_Fraktur-Regular.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Main; font-style: normal; font-weight: 700; src: url("fonts/KaTeX_Main-Bold.woff2") format("woff2"), url("fonts/KaTeX_Main-Bold.woff") format("woff"), url("fonts/KaTeX_Main-Bold.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Main; font-style: italic; font-weight: 700; src: url("fonts/KaTeX_Main-BoldItalic.woff2") format("woff2"), url("fonts/KaTeX_Main-BoldItalic.woff") format("woff"), url("fonts/KaTeX_Main-BoldItalic.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Main; font-style: italic; font-weight: 400; src: url("fonts/KaTeX_Main-Italic.woff2") format("woff2"), url("fonts/KaTeX_Main-Italic.woff") format("woff"), url("fonts/KaTeX_Main-Italic.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Main; font-style: normal; font-weight: 400; 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_Math; font-style: italic; font-weight: 700; src: url("fonts/KaTeX_Math-BoldItalic.woff2") format("woff2"), url("fonts/KaTeX_Math-BoldItalic.woff") format("woff"), url("fonts/KaTeX_Math-BoldItalic.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Math; font-style: italic; font-weight: 400; src: url("fonts/KaTeX_Math-Italic.woff2") format("woff2"), url("fonts/KaTeX_Math-Italic.woff") format("woff"), url("fonts/KaTeX_Math-Italic.ttf") format("truetype"); }

@font-face { font-family: KaTeX_SansSerif; font-style: normal; font-weight: 700; src: url("fonts/KaTeX_SansSerif-Bold.woff2") format("woff2"), url("fonts/KaTeX_SansSerif-Bold.woff") format("woff"), url("fonts/KaTeX_SansSerif-Bold.ttf") format("truetype"); }

@font-face { font-family: KaTeX_SansSerif; font-style: italic; font-weight: 400; src: url("fonts/KaTeX_SansSerif-Italic.woff2") format("woff2"), url("fonts/KaTeX_SansSerif-Italic.woff") format("woff"), url("fonts/KaTeX_SansSerif-Italic.ttf") format("truetype"); }

@font-face { font-family: KaTeX_SansSerif; font-style: normal; font-weight: 400; src: url("fonts/KaTeX_SansSerif-Regular.woff2") format("woff2"), url("fonts/KaTeX_SansSerif-Regular.woff") format("woff"), url("fonts/KaTeX_SansSerif-Regular.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Script; font-style: normal; font-weight: 400; src: url("fonts/KaTeX_Script-Regular.woff2") format("woff2"), url("fonts/KaTeX_Script-Regular.woff") format("woff"), url("fonts/KaTeX_Script-Regular.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Size1; font-style: normal; font-weight: 400; 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; 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; 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"); }

@font-face { font-family: KaTeX_Size4; font-style: normal; font-weight: 400; src: url("fonts/KaTeX_Size4-Regular.woff2") format("woff2"), url("fonts/KaTeX_Size4-Regular.woff") format("woff"), url("fonts/KaTeX_Size4-Regular.ttf") format("truetype"); }

@font-face { font-family: KaTeX_Typewriter; font-style: normal; font-weight: 400; src: url("fonts/KaTeX_Typewriter-Regular.woff2") format("woff2"), url("fonts/KaTeX_Typewriter-Regular.woff") format("woff"), url("fonts/KaTeX_Typewriter-Regular.ttf") format("truetype"); }

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.katex .fontsize-ensurer.reset-size10.size1, .katex .sizing.reset-size10.size1 { font-size: 0.24108em; }

.katex .fontsize-ensurer.reset-size10.size2, .katex .sizing.reset-size10.size2 { font-size: 0.289296em; }

.katex .fontsize-ensurer.reset-size10.size3, .katex .sizing.reset-size10.size3 { font-size: 0.337512em; }

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.katex .fontsize-ensurer.reset-size10.size9, .katex .sizing.reset-size10.size9 { font-size: 0.833173em; }

.katex .fontsize-ensurer.reset-size10.size10, .katex .sizing.reset-size10.size10 { font-size: 1em; }

.katex .fontsize-ensurer.reset-size10.size11, .katex .sizing.reset-size10.size11 { font-size: 1.19961em; }

.katex .fontsize-ensurer.reset-size11.size1, .katex .sizing.reset-size11.size1 { font-size: 0.200965em; }

.katex .fontsize-ensurer.reset-size11.size2, .katex .sizing.reset-size11.size2 { font-size: 0.241158em; }

.katex .fontsize-ensurer.reset-size11.size3, .katex .sizing.reset-size11.size3 { font-size: 0.28135em; }

.katex .fontsize-ensurer.reset-size11.size4, .katex .sizing.reset-size11.size4 { font-size: 0.321543em; }

.katex .fontsize-ensurer.reset-size11.size5, .katex .sizing.reset-size11.size5 { font-size: 0.361736em; }

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.katex .fontsize-ensurer.reset-size11.size9, .katex .sizing.reset-size11.size9 { font-size: 0.694534em; }

.katex .fontsize-ensurer.reset-size11.size10, .katex .sizing.reset-size11.size10 { font-size: 0.833601em; }

.katex .fontsize-ensurer.reset-size11.size11, .katex .sizing.reset-size11.size11 { font-size: 1em; }

.katex .delimsizing.size1 { font-family: KaTeX_Size1; }

.katex .delimsizing.size2 { font-family: KaTeX_Size2; }

.katex .delimsizing.size3 { font-family: KaTeX_Size3; }

.katex .delimsizing.size4 { font-family: KaTeX_Size4; }

.katex .delimsizing.mult .delim-size1 > span { font-family: KaTeX_Size1; }

.katex .delimsizing.mult .delim-size4 > span { font-family: KaTeX_Size4; }

.katex .nulldelimiter { display: inline-block; width: 0.12em; }

.katex .delimcenter, .katex .op-symbol { position: relative; }

.katex .op-symbol.small-op { font-family: KaTeX_Size1; }

.katex .op-symbol.large-op { font-family: KaTeX_Size2; }

.katex .accent > .vlist-t, .katex .op-limits > .vlist-t { text-align: center; }

.katex .accent .accent-body { position: relative; }

.katex .accent .accent-body:not(.accent-full) { width: 0px; }

.katex .overlay { display: block; }

.katex .mtable .vertical-separator { display: inline-block; min-width: 1px; }

.katex .mtable .arraycolsep { display: inline-block; }

.katex .mtable .col-align-c > .vlist-t { text-align: center; }

.katex .mtable .col-align-l > .vlist-t { text-align: left; }

.katex .mtable .col-align-r > .vlist-t { text-align: right; }

.katex .svg-align { text-align: left; }

.katex svg { fill: currentcolor; stroke: currentcolor; fill-rule: nonzero; fill-opacity: 1; stroke-width: 1; stroke-linecap: butt; stroke-linejoin: miter; stroke-miterlimit: 4; stroke-dasharray: none; stroke-dashoffset: 0; stroke-opacity: 1; display: block; height: inherit; position: absolute; width: 100%; }

.katex svg path { stroke: none; }

.katex img { border-style: none; max-height: none; max-width: none; min-height: 0px; min-width: 0px; }

.katex .stretchy { display: block; overflow: hidden; position: relative; width: 100%; }

.katex .stretchy::after, .katex .stretchy::before { content: ""; }

.katex .hide-tail { overflow: hidden; position: relative; width: 100%; }

.katex .halfarrow-left { left: 0px; overflow: hidden; position: absolute; width: 50.2%; }

.katex .halfarrow-right { overflow: hidden; position: absolute; right: 0px; width: 50.2%; }

.katex .brace-left { left: 0px; overflow: hidden; position: absolute; width: 25.1%; }

.katex .brace-center { left: 25%; overflow: hidden; position: absolute; width: 50%; }

.katex .brace-right { overflow: hidden; position: absolute; right: 0px; width: 25.1%; }

.katex .x-arrow-pad { padding: 0px 0.5em; }

.katex .cd-arrow-pad { padding: 0px 0.55556em 0px 0.27778em; }

.katex .mover, .katex .munder, .katex .x-arrow { text-align: center; }

.katex .boxpad { padding: 0px 0.3em; }

.katex .fbox, .katex .fcolorbox { border: 0.04em solid; box-sizing: border-box; }

.katex .cancel-pad { padding: 0px 0.2em; }

.katex .cancel-lap { margin-left: -0.2em; margin-right: -0.2em; }

.katex .sout { border-bottom-style: solid; border-bottom-width: 0.08em; }

.katex .angl { border-right: 0.049em solid; border-top: 0.049em solid; box-sizing: border-box; margin-right: 0.03889em; }

.katex .anglpad { padding: 0px 0.03889em; }

.katex .eqn-num::before { content: "(" counter(katexEqnNo) ")"; counter-increment: katexEqnNo 1; }

.katex .mml-eqn-num::before { content: "(" counter(mmlEqnNo) ")"; counter-increment: mmlEqnNo 1; }

.katex .mtr-glue { width: 50%; }

.katex .cd-vert-arrow { display: inline-block; position: relative; }

.katex .cd-label-left { display: inline-block; position: absolute; right: calc(50% + 0.3em); text-align: left; }

.katex .cd-label-right { display: inline-block; left: calc(50% + 0.3em); position: absolute; text-align: right; }

.katex-display { display: block; margin: 1em 0px; text-align: center; }

.katex-display > .katex { display: block; text-align: center; white-space: nowrap; }

.katex-display > .katex > .katex-html { display: block; position: relative; }

.katex-display > .katex > .katex-html > .tag { position: absolute; right: 0px; }

.katex-display.leqno > .katex > .katex-html > .tag { left: 0px; right: auto; }

.katex-display.fleqn > .katex { padding-left: 2em; text-align: left; }

body { counter-reset: katexEqnNo 0 mmlEqnNo 0; }