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.katex .fontsize-ensurer.reset-size11.size7, .katex .sizing.reset-size11.size7 {
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}

.katex .fontsize-ensurer.reset-size11.size8, .katex .sizing.reset-size11.size8 {
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}

.katex .fontsize-ensurer.reset-size11.size9, .katex .sizing.reset-size11.size9 {
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}

.katex .fontsize-ensurer.reset-size11.size10, .katex .sizing.reset-size11.size10 {
	font-size: .8336012862em;
}

.katex .fontsize-ensurer.reset-size11.size11, .katex .sizing.reset-size11.size11 {
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}

.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 {
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}

.katex .delimsizing.mult .delim-size4 > span {
	font-family: KaTeX_Size4;
}

.katex .nulldelimiter {
	display: inline-block;
	width: .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: 0;
}

.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;
	display: block;
	height: inherit;
	position: absolute;
	width: 100%;
}

.katex svg path {
	stroke: none;
}

.katex svg {
	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;
}

.katex img {
	border-style: none;
	max-height: none;
	max-width: none;
	min-height: 0;
	min-width: 0;
}

.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: 0;
	overflow: hidden;
	position: absolute;
	width: 50.2%;
}

.katex .halfarrow-right {
	overflow: hidden;
	position: absolute;
	right: 0;
	width: 50.2%;
}

.katex .brace-left {
	left: 0;
	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: 0;
	width: 25.1%;
}

.katex .x-arrow-pad {
	padding: 0 .5em;
}

.katex .cd-arrow-pad {
	padding: 0 .55556em 0 .27778em;
}

.katex .mover, .katex .munder, .katex .x-arrow {
	text-align: center;
}

.katex .boxpad {
	padding: 0 .3em;
}

.katex .fbox, .katex .fcolorbox {
	border: .04em solid;
	box-sizing: border-box;
}

.katex .cancel-pad {
	padding: 0 .2em;
}

.katex .cancel-lap {
	margin-left: -.2em;
	margin-right: -.2em;
}

.katex .sout {
	border-bottom-style: solid;
	border-bottom-width: .08em;
}

.katex .angl {
	border-right: .049em solid;
	border-top: .049em solid;
	box-sizing: border-box;
	margin-right: .03889em;
}

.katex .anglpad {
	padding: 0 .03889em;
}

.katex .eqn-num:before {
	content: "(" counter(katexEqnNo) ")";
	counter-increment: katexEqnNo;
}

.katex .mml-eqn-num:before {
	content: "(" counter(mmlEqnNo) ")";
	counter-increment: mmlEqnNo;
}

.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% + .3em);
	text-align: left;
}

.katex .cd-label-right {
	display: inline-block;
	left: calc(50% + .3em);
	position: absolute;
	text-align: right;
}

.katex-display {
	display: block;
	margin: 1em 0;
	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: 0;
}

.katex-display.leqno > .katex > .katex-html > .tag {
	left: 0;
	right: auto;
}

.katex-display.fleqn > .katex {
	padding-left: 2em;
	text-align: left;
}

body {
	counter-reset: katexEqnNo mmlEqnNo;
}