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.katex .fontsize-ensurer.reset-size11.size1,
.katex .sizing.reset-size11.size1 {
  font-size: 0.20096463rem;
}

.katex .fontsize-ensurer.reset-size11.size2,
.katex .sizing.reset-size11.size2 {
  font-size: 0.24115756rem;
}

.katex .fontsize-ensurer.reset-size11.size3,
.katex .sizing.reset-size11.size3 {
  font-size: 0.28135048rem;
}

.katex .fontsize-ensurer.reset-size11.size4,
.katex .sizing.reset-size11.size4 {
  font-size: 0.32154341rem;
}

.katex .fontsize-ensurer.reset-size11.size5,
.katex .sizing.reset-size11.size5 {
  font-size: 0.36173633rem;
}

.katex .fontsize-ensurer.reset-size11.size6,
.katex .sizing.reset-size11.size6 {
  font-size: 0.40192926rem;
}

.katex .fontsize-ensurer.reset-size11.size7,
.katex .sizing.reset-size11.size7 {
  font-size: 0.48231511rem;
}

.katex .fontsize-ensurer.reset-size11.size8,
.katex .sizing.reset-size11.size8 {
  font-size: 0.57877814rem;
}

.katex .fontsize-ensurer.reset-size11.size9,
.katex .sizing.reset-size11.size9 {
  font-size: 0.69453376rem;
}

.katex .fontsize-ensurer.reset-size11.size10,
.katex .sizing.reset-size11.size10 {
  font-size: 0.83360129rem;
}

.katex .fontsize-ensurer.reset-size11.size11,
.katex .sizing.reset-size11.size11 {
  font-size: 1rem;
}

.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: 0.12rem;
}

.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;
  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: 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 0.5rem;
}

.katex .cd-arrow-pad {
  padding: 0 0.55556rem 0 0.27778rem;
}

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

.katex .boxpad {
  padding: 0 0.3rem;
}

.katex .fbox,
.katex .fcolorbox {
  border: 0.04rem solid;
  box-sizing: border-box;
}

.katex .cancel-pad {
  padding: 0 0.2rem;
}

.katex .cancel-lap {
  margin-left: -0.2rem;
  margin-right: -0.2rem;
}

.katex .sout {
  border-bottom-style: solid;
  border-bottom-width: 0.08rem;
}

.katex .angl {
  border-right: 0.049rem solid;
  border-top: 0.049rem solid;
  box-sizing: border-box;
  margin-right: 0.03889rem;
}

.katex .anglpad {
  padding: 0 0.03889rem;
}

.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% + 0.3rem);
  text-align: left;
}

.katex .cd-label-right {
  display: inline-block;
  left: calc(50% + 0.3rem);
  position: absolute;
  text-align: right;
}

.katex-display {
  display: block;
  margin: 1rem 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;
  text-align: right;
}

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

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

body,
.katex-display {
  counter-reset: katexEqnNo mmlEqnNo;
}