/* Generated from reviewed NCERT solution sources with MathJax 4.1.2. */

mjx-container[overflow="scroll"][display] {
  overflow: auto clip;
  min-width: initial !important;
}

mjx-container[overflow="truncate"][display] {
  overflow: hidden clip;
  min-width: initial !important;
}

mjx-container[display] {
  display: block;
  text-align: center;
  justify-content: center;
  margin: .7em 0;
  padding: .3em 2px;
}

mjx-container[display][width="full"] {
  display: flex;
}

mjx-container[justify="left"] {
  text-align: left;
  justify-content: left;
}

mjx-container[justify="right"] {
  text-align: right;
  justify-content: right;
}

mjx-container[jax="CHTML"] {
  white-space: nowrap;
}

mjx-mo > mjx-c, mjx-mi > mjx-c, mjx-mn > mjx-c, mjx-ms > mjx-c, mjx-mtext > mjx-c {
  clip-path: padding-box polygon(-1em -2px, calc(100% + 1em) -2px, calc(100% + 1em) calc(100% + 2px), -1em calc(100% + 2px));
}

mjx-stretchy-h {
  clip-path: padding-box polygon(0 -2px, 100% -2px, 100% calc(100% + 2px), 0 calc(100% + 2px));
}

mjx-stretchy-v {
  clip-path: padding-box polygon(-2px 0, calc(100% + 2px) 0, calc(100% + 2px) 100%, -2px 100%);
}

mjx-container [space="1"] {
  margin-left: .111em;
}

mjx-container [space="2"] {
  margin-left: .167em;
}

mjx-container [space="3"] {
  margin-left: .222em;
}

mjx-container [space="4"] {
  margin-left: .278em;
}

mjx-container [space="5"] {
  margin-left: .333em;
}

mjx-container [rspace="1"] {
  margin-right: .111em;
}

mjx-container [rspace="2"] {
  margin-right: .167em;
}

mjx-container [rspace="3"] {
  margin-right: .222em;
}

mjx-container [rspace="4"] {
  margin-right: .278em;
}

mjx-container [rspace="5"] {
  margin-right: .333em;
}

mjx-container [size="s"] {
  font-size: 70.7%;
}

mjx-container [size="ss"] {
  font-size: 50%;
}

mjx-container [size="Tn"] {
  font-size: 60%;
}

mjx-container [size="sm"] {
  font-size: 85%;
}

mjx-container [size="lg"] {
  font-size: 120%;
}

mjx-container [size="Lg"] {
  font-size: 144%;
}

mjx-container [size="LG"] {
  font-size: 173%;
}

mjx-container [size="hg"] {
  font-size: 207%;
}

mjx-container [size="HG"] {
  font-size: 249%;
}

mjx-container [width="full"] {
  width: 100%;
}

mjx-box {
  display: inline-block;
}

mjx-block {
  display: block;
}

mjx-itable {
  display: inline-table;
}

mjx-row {
  display: table-row;
}

mjx-row > mjx-cell, mjx-row > mjx-base, mjx-row > mjx-under, mjx-row > mjx-over, mjx-row > mjx-den {
  display: table-cell;
}

mjx-container [inline-breaks] {
  display: inline;
}

mjx-container .mjx-selected {
  outline: 2px solid black;
}

@media (prefers-color-scheme: dark) {
  mjx-container .mjx-selected {
    outline: 2px solid #C8C8C8;
  }
}

mjx-mtext {
  display: inline-block;
}

mjx-mstyle {
  display: inline-block;
}

mjx-merror {
  display: inline-block;
  color: red;
  background-color: yellow;
}

mjx-mphantom {
  visibility: hidden;
}

mjx-container[jax="CHTML"] > mjx-math.NCM-N[breakable] > * {
  font-family: MJX-NCM-ZERO, MJX-NCM-N;
}

.NCM-N {
  font-family: MJX-NCM-ZERO, MJX-NCM-N;
}

.NCM-B {
  font-family: MJX-NCM-ZERO, MJX-NCM-B;
}

.NCM-I {
  font-family: MJX-NCM-ZERO, MJX-NCM-I;
}

.NCM-BI {
  font-family: MJX-NCM-ZERO, MJX-NCM-BI;
}

.NCM-DS {
  font-family: MJX-NCM-ZERO, MJX-NCM-DS;
}

.NCM-F {
  font-family: MJX-NCM-ZERO, MJX-NCM-F;
}

.NCM-FB {
  font-family: MJX-NCM-ZERO, MJX-NCM-FB;
}

.NCM-SS {
  font-family: MJX-NCM-ZERO, MJX-NCM-SS;
}

.NCM-SSB {
  font-family: MJX-NCM-ZERO, MJX-NCM-SSB;
}

.NCM-SSI {
  font-family: MJX-NCM-ZERO, MJX-NCM-SSI;
}

.NCM-SSBI {
  font-family: MJX-NCM-ZERO, MJX-NCM-SSBI;
}

.NCM-M {
  font-family: MJX-NCM-ZERO, MJX-NCM-M;
}

.NCM-SO {
  font-family: MJX-NCM-ZERO, MJX-NCM-SO;
}

.NCM-LO {
  font-family: MJX-NCM-ZERO, MJX-NCM-LO;
}

.NCM-S3 {
  font-family: MJX-NCM-ZERO, MJX-NCM-S3;
}

.NCM-S4 {
  font-family: MJX-NCM-ZERO, MJX-NCM-S4;
}

.NCM-S5 {
  font-family: MJX-NCM-ZERO, MJX-NCM-S5;
}

.NCM-S6 {
  font-family: MJX-NCM-ZERO, MJX-NCM-S6;
}

.NCM-S7 {
  font-family: MJX-NCM-ZERO, MJX-NCM-S7;
}

.NCM-MI {
  font-family: MJX-NCM-ZERO, MJX-NCM-MI;
}

.NCM-C {
  font-family: MJX-NCM-ZERO, MJX-NCM-C;
}

.NCM-CB {
  font-family: MJX-NCM-ZERO, MJX-NCM-CB;
}

.NCM-OS {
  font-family: MJX-NCM-ZERO, MJX-NCM-OS;
}

.NCM-OB {
  font-family: MJX-NCM-ZERO, MJX-NCM-OB;
}

.NCM-V {
  font-family: MJX-NCM-ZERO, MJX-NCM-V;
}

.NCM-LT {
  font-family: MJX-NCM-ZERO, MJX-NCM-LT;
}

.NCM-RB {
  font-family: MJX-NCM-ZERO, MJX-NCM-RB;
}

.NCM-EM {
  font-family: MJX-NCM-ZERO, MJX-NCM-EM;
}

.NCM-B-a {
  font-family: MJX-NCM-ZERO, MJX-NCM-B-a;
}

.NCM-U {
  font-family: MJX-NCM-ZERO, MJX-NCM-U;
}

.NCM-U-a {
  font-family: MJX-NCM-ZERO, MJX-NCM-U-a;
}

.NCM-S {
  font-family: MJX-NCM-ZERO, MJX-NCM-S;
}

.NCM-SB {
  font-family: MJX-NCM-ZERO, MJX-NCM-SB;
}

@font-face /* MJX-NCM-ZERO */ {
  font-family: MJX-NCM-ZERO;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-zero.woff2") format("woff2");
}

@font-face /* MJX-BRK */ {
  font-family: MJX-BRK;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-brk.woff2") format("woff2");
}

@font-face /* MJX-NCM-N */ {
  font-family: MJX-NCM-N;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-n.woff2") format("woff2");
}

@font-face /* MJX-NCM-B */ {
  font-family: MJX-NCM-B;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-b.woff2") format("woff2");
}

@font-face /* MJX-NCM-I */ {
  font-family: MJX-NCM-I;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-i.woff2") format("woff2");
}

@font-face /* MJX-NCM-BI */ {
  font-family: MJX-NCM-BI;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-bi.woff2") format("woff2");
}

@font-face /* MJX-NCM-DS */ {
  font-family: MJX-NCM-DS;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-ds.woff2") format("woff2");
}

@font-face /* MJX-NCM-F */ {
  font-family: MJX-NCM-F;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-f.woff2") format("woff2");
}

@font-face /* MJX-NCM-FB */ {
  font-family: MJX-NCM-FB;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-fb.woff2") format("woff2");
}

@font-face /* MJX-NCM-SS */ {
  font-family: MJX-NCM-SS;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-ss.woff2") format("woff2");
}

@font-face /* MJX-NCM-SSB */ {
  font-family: MJX-NCM-SSB;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-ssb.woff2") format("woff2");
}

@font-face /* MJX-NCM-SSI */ {
  font-family: MJX-NCM-SSI;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-ssi.woff2") format("woff2");
}

@font-face /* MJX-NCM-SSBI */ {
  font-family: MJX-NCM-SSBI;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-ssbi.woff2") format("woff2");
}

@font-face /* MJX-NCM-M */ {
  font-family: MJX-NCM-M;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-m.woff2") format("woff2");
}

@font-face /* MJX-NCM-SO */ {
  font-family: MJX-NCM-SO;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-so.woff2") format("woff2");
}

@font-face /* MJX-NCM-LO */ {
  font-family: MJX-NCM-LO;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-lo.woff2") format("woff2");
}

@font-face /* MJX-NCM-S3 */ {
  font-family: MJX-NCM-S3;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-s3.woff2") format("woff2");
}

@font-face /* MJX-NCM-S4 */ {
  font-family: MJX-NCM-S4;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-s4.woff2") format("woff2");
}

@font-face /* MJX-NCM-S5 */ {
  font-family: MJX-NCM-S5;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-s5.woff2") format("woff2");
}

@font-face /* MJX-NCM-S6 */ {
  font-family: MJX-NCM-S6;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-s6.woff2") format("woff2");
}

@font-face /* MJX-NCM-S7 */ {
  font-family: MJX-NCM-S7;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-s7.woff2") format("woff2");
}

@font-face /* MJX-NCM-MI */ {
  font-family: MJX-NCM-MI;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-mi.woff2") format("woff2");
}

@font-face /* MJX-NCM-C */ {
  font-family: MJX-NCM-C;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-c.woff2") format("woff2");
}

@font-face /* MJX-NCM-CB */ {
  font-family: MJX-NCM-CB;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-cb.woff2") format("woff2");
}

@font-face /* MJX-NCM-OS */ {
  font-family: MJX-NCM-OS;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-os.woff2") format("woff2");
}

@font-face /* MJX-NCM-OB */ {
  font-family: MJX-NCM-OB;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-ob.woff2") format("woff2");
}

@font-face /* MJX-NCM-V */ {
  font-family: MJX-NCM-V;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-v.woff2") format("woff2");
}

@font-face /* MJX-NCM-LT */ {
  font-family: MJX-NCM-LT;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-lt.woff2") format("woff2");
}

@font-face /* MJX-NCM-RB */ {
  font-family: MJX-NCM-RB;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-rb.woff2") format("woff2");
}

@font-face /* MJX-NCM-EM */ {
  font-family: MJX-NCM-EM;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-em.woff2") format("woff2");
}

@font-face /* MJX-NCM-B-a */ {
  font-family: MJX-NCM-B-a;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-b-a.woff2") format("woff2");
}

@font-face /* MJX-NCM-U */ {
  font-family: MJX-NCM-U;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-u.woff2") format("woff2");
}

@font-face /* MJX-NCM-U-a */ {
  font-family: MJX-NCM-U-a;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-u-a.woff2") format("woff2");
}

@font-face /* MJX-NCM-S */ {
  font-family: MJX-NCM-S;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-s.woff2") format("woff2");
}

@font-face /* MJX-NCM-SB */ {
  font-family: MJX-NCM-SB;
  src: url("/ncert-solutions/mathjax/woff2/mjx-ncm-sb.woff2") format("woff2");
}


mjx-math {
  display: inline-block;
  text-align: left;
  line-height: 0;
  text-indent: 0;
  font-style: normal;
  font-weight: normal;
  font-size: 100%;
  font-size-adjust: none;
  letter-spacing: normal;
  word-wrap: normal;
  word-spacing: normal;
  direction: ltr;
  padding: 1px 0;
}

mjx-container[jax="CHTML"][display="true"] mjx-math {
  padding: 0;
}

mjx-math[breakable] {
  display: inline;
}

mjx-container[jax="CHTML"] mjx-break {
  white-space: normal;
  line-height: 0;
  clip-path: rect(0 0 0 0);
  font-family: MJX-BRK !important;
}

mjx-break[size="0"] {
  letter-spacing: -0.999em;
}

mjx-break[size="1"] {
  letter-spacing: -0.889em;
}

mjx-break[size="2"] {
  letter-spacing: -0.833em;
}

mjx-break[size="3"] {
  letter-spacing: -0.778em;
}

mjx-break[size="4"] {
  letter-spacing: -0.722em;
}

mjx-break[size="5"] {
  letter-spacing: -0.667em;
}

mjx-msub {
  display: inline-block;
  text-align: left;
}

mjx-msubsup {
  display: inline-block;
  text-align: left;
}

mjx-script {
  display: inline-block;
  padding-right: .05em;
  padding-left: .033em;
}

mjx-script > mjx-spacer {
  display: block;
}

mjx-mi {
  display: inline-block;
  text-align: left;
}

mjx-c {
  display: inline-block;
  width: 0;
  text-align: right;
}

mjx-utext {
  display: inline-block;
  padding: .75em 0 .2em 0;
}

mjx-mn {
  display: inline-block;
  text-align: left;
}

mjx-mo {
  display: inline-block;
  text-align: left;
}

mjx-stretchy-h {
  display: inline-block;
}

mjx-stretchy-h > mjx-beg, mjx-stretchy-h > mjx-ext, mjx-stretchy-h > mjx-end, mjx-stretchy-h > mjx-mid {
  display: inline-block;
  width: 0;
  text-align: right;
}

mjx-stretchy-h > mjx-ext {
  clip-path: padding-box polygon(0 -1em, 100% -1em, 100% calc(100% + 1em), 0 calc(100% + 1em));
  width: 100%;
  border: 0px solid transparent;
  box-sizing: border-box;
  text-align: left;
}

mjx-stretchy-v {
  display: inline-block;
  text-align: center;
}

mjx-stretchy-v > mjx-beg, mjx-stretchy-v > mjx-ext, mjx-stretchy-v > mjx-end, mjx-stretchy-v > mjx-mid {
  display: block;
  height: 0;
  margin: 0 auto;
}

mjx-stretchy-v > mjx-ext > mjx-spacer {
  display: block;
}

mjx-stretchy-v > mjx-ext {
  clip-path: padding-box polygon(-1em 0, calc(100% + 1em) 0, calc(100% + 1em) 100%, -1em 100%);
  height: 100%;
  border: 0.1px solid transparent;
  box-sizing: border-box;
  white-space: pre;
}

mjx-mark {
  display: inline-block;
  height: 0;
}

mjx-mrow {
  display: inline-block;
  text-align: left;
}

mjx-linestack, mjx-mrow[break-top] {
  display: inline-table;
  width: 100%;
}

mjx-linestack[break-align="bottom"], mjx-mrow[break-top][break-align="bottom"] {
  display: inline-block;
}

mjx-linestack[break-align="middle"], mjx-mrow[break-top][break-align="middle"] {
  vertical-align: middle;
}

mjx-linestack[break-align="center"], mjx-mrow[break-top][break-align="center"] {
  vertical-align: middle;
}

mjx-linestack[breakable] {
  display: inline;
}

mjx-linestack[breakable] > mjx-linebox {
  display: inline;
}

mjx-linestack[breakable] > mjx-linebox::before {
  white-space: pre;
  content: "\A";
}

mjx-linestack[breakable] > mjx-linebox::after {
  white-space: normal;
  content: " ";
  letter-spacing: -.999em;
  font-family: MJX-BRK;
}

mjx-linestack[breakable] > mjx-linebox:first-of-type::before {
  display: none;
}

mjx-linestack[breakable] > mjx-linebox:last-of-type::after {
  display: none;
}

mjx-linebox {
  display: block;
}

mjx-linebox[align="left"] {
  text-align: left;
}

mjx-linebox[align="center"] {
  text-align: center;
}

mjx-linebox[align="right"] {
  text-align: right;
}

mjx-linestrut {
  display: inline-block;
  height: 1em;
  vertical-align: -.25em;
}

mjx-mtext {
  display: inline-block;
  text-align: left;
}

mjx-TeXAtom {
  display: inline-block;
  text-align: left;
}

mjx-mspace {
  display: inline-block;
  text-align: left;
}

mjx-mfrac {
  display: inline-block;
  text-align: left;
}

mjx-frac {
  display: inline-block;
  vertical-align: 0.17em;
  padding: 0 .22em;
}

mjx-frac[type="d"] {
  vertical-align: .04em;
}

mjx-frac[delims] {
  padding: 0 .1em;
}

mjx-frac[atop] {
  padding: 0 .12em;
}

mjx-frac[atop][delims] {
  padding: 0;
}

mjx-dtable {
  display: inline-table;
  width: 100%;
}

mjx-dtable > mjx-line, mjx-dtable > mjx-row {
  font-size: 2000%;
}

mjx-dbox {
  display: block;
  font-size: 5%;
}

mjx-num {
  display: block;
  text-align: center;
}

mjx-den {
  display: block;
  text-align: center;
}

mjx-mfrac[bevelled] > mjx-num {
  display: inline-block;
}

mjx-mfrac[bevelled] > mjx-den {
  display: inline-block;
}

mjx-den[align="right"], mjx-num[align="right"] {
  text-align: right;
}

mjx-den[align="left"], mjx-num[align="left"] {
  text-align: left;
}

mjx-nstrut {
  display: inline-block;
  height: .054em;
  width: 0;
  vertical-align: -.054em;
}

mjx-nstrut[type="d"] {
  height: .217em;
  vertical-align: -.217em;
}

mjx-dstrut {
  display: inline-block;
  height: .505em;
  width: 0;
}

mjx-dstrut[type="d"] {
  height: .726em;
}

mjx-line {
  display: block;
  box-sizing: border-box;
  min-height: 1px;
  height: .06em;
  border-top: .075em solid;
  margin: .06em -.1em;
  overflow: hidden;
}

mjx-line[type="d"] {
  margin: .18em -.1em;
}

mjx-msup {
  display: inline-block;
  text-align: left;
}

mjx-msqrt {
  display: inline-block;
  text-align: left;
}

mjx-root {
  display: inline-block;
  white-space: nowrap;
}

mjx-surd {
  display: inline-block;
  vertical-align: top;
}

mjx-sqrt {
  display: inline-block;
  padding-top: .075em;
}

mjx-sqrt > mjx-box {
  border-top: .075em solid;
  padding-left: .03em;
  margin-left: -.03em;
}

mjx-sqrt.mjx-tall > mjx-box {
  padding-left: .3em;
  margin-left: -.3em;
}

mjx-mover {
  display: inline-block;
  text-align: left;
}

mjx-mover:not([limits="false"]) {
  padding-top: .1em;
}

mjx-mover:not([limits="false"]) > mjx-base, mjx-mover:not([limits="false"]) > mjx-over {
  display: block;
  text-align: left;
}

mjx-mpadded {
  display: inline-block;
  text-align: left;
}

mjx-rbox {
  display: inline-block;
  position: relative;
}

mjx-menclose {
  display: inline-block;
  text-align: left;
  position: relative;
}

mjx-menclose > mjx-dstrike {
  display: inline-block;
  left: 0;
  top: 0;
  position: absolute;
  border-top: 0.067em solid;
  transform-origin: top left;
}

mjx-menclose > mjx-ustrike {
  display: inline-block;
  left: 0;
  bottom: 0;
  position: absolute;
  border-top: 0.067em solid;
  transform-origin: bottom left;
}

mjx-menclose > mjx-hstrike {
  border-top: 0.067em solid;
  position: absolute;
  left: 0;
  right: 0;
  bottom: 50%;
  transform: translateY(0.034em);
}

mjx-menclose > mjx-vstrike {
  border-left: 0.067em solid;
  position: absolute;
  top: 0;
  bottom: 0;
  right: 50%;
  transform: translateX(0.034em);
}

mjx-menclose > mjx-rbox {
  position: absolute;
  top: 0;
  bottom: 0;
  right: 0;
  left: 0;
  border: 0.067em solid;
  border-radius: 0.267em;
}

mjx-menclose > mjx-cbox {
  position: absolute;
  top: 0;
  bottom: 0;
  right: 0;
  left: 0;
  border: 0.067em solid;
  border-radius: 50%;
}

mjx-menclose > mjx-arrow {
  position: absolute;
  left: 0;
  bottom: 50%;
  height: 0;
  width: 0;
}

mjx-menclose > mjx-arrow > mjx-aline {
  display: block;
  position: absolute;
  box-sizing: border-box;
  transform-origin: bottom;
  left: 0;
  top: -0.034em;
  right: 0.201em;
  height: 0;
  border-top: 0.067em solid;
  border-left: 0;
  border-right: 0;
}

mjx-menclose > mjx-arrow[double] > mjx-aline {
  display: block;
  position: absolute;
  box-sizing: border-box;
  transform-origin: bottom;
  left: 0.201em;
  height: 0;
  border-left: 0.268em solid;
  border-right: 0;
}

mjx-menclose > mjx-arrow > mjx-rthead {
  display: block;
  position: absolute;
  box-sizing: border-box;
  transform-origin: bottom;
  transform: skewX(0.464rad);
  right: 0;
  bottom: -1px;
  border-left: 0.268em solid;
  border-right: 0;
  border-bottom: 1px solid transparent;
  border-top: 0.134em solid transparent;
}

mjx-menclose > mjx-arrow > mjx-rbhead {
  display: block;
  position: absolute;
  box-sizing: border-box;
  transform: skewX(-0.464rad);
  transform-origin: top;
  right: 0;
  top: -1px;
  border-left: 0.268em solid;
  border-right: 0;
  border-top: 1px solid transparent;
  border-bottom: 0.134em solid transparent;
}

mjx-menclose > mjx-arrow > mjx-lthead {
  display: block;
  position: absolute;
  box-sizing: border-box;
  transform: skewX(-0.464rad);
  transform-origin: bottom;
  left: 0;
  bottom: -1px;
  border-left: 0;
  border-right: 0.268em solid;
  border-bottom: 1px solid transparent;
  border-top: 0.134em solid transparent;
}

mjx-menclose > mjx-arrow > mjx-lbhead {
  display: block;
  position: absolute;
  box-sizing: border-box;
  transform: skewX(0.464rad);
  transform-origin: top;
  left: 0;
  top: -1px;
  border-left: 0;
  border-right: 0.268em solid;
  border-top: 1px solid transparent;
  border-bottom: 0.134em solid transparent;
}

mjx-menclose > mjx-dbox-top {
  position: absolute;
  top: 0;
  bottom: 50%;
  left: 0;
  width: 0.3em;
  border-width: 0.067em;
  border-style: solid solid none none;
  border-radius: 0 100% 0 0;
  box-sizing: border-box;
}

mjx-menclose > mjx-dbox-bot {
  position: absolute;
  top: 50%;
  bottom: 0;
  left: 0;
  width: 0.3em;
  border-width: 0.067em;
  border-style: none solid solid none;
  border-radius: 0 0 100% 0;
  box-sizing: border-box;
}

mjx-mtable {
  display: inline-block;
  text-align: center;
  vertical-align: .25em;
  position: relative;
  box-sizing: border-box;
  border-spacing: 0;
  border-collapse: collapse;
}

mjx-mstyle[size="s"] mjx-mtable {
  vertical-align: .354em;
}

mjx-labels {
  position: absolute;
  left: 0;
  top: 0;
}

mjx-table {
  display: inline-block;
  vertical-align: -.5ex;
  box-sizing: border-box;
}

mjx-table > mjx-itable {
  vertical-align: middle;
  text-align: left;
  box-sizing: border-box;
}

mjx-labels > mjx-itable {
  position: absolute;
  top: 0;
}

mjx-mtable[justify="left"] {
  text-align: left;
}

mjx-mtable[justify="right"] {
  text-align: right;
}

mjx-mtable[justify="left"][side="left"] {
  padding-right: 0 ! important;
}

mjx-mtable[justify="left"][side="right"] {
  padding-left: 0 ! important;
}

mjx-mtable[justify="right"][side="left"] {
  padding-right: 0 ! important;
}

mjx-mtable[justify="right"][side="right"] {
  padding-left: 0 ! important;
}

mjx-mtable[align] {
  vertical-align: baseline;
}

mjx-mtable[align="top"] > mjx-table {
  vertical-align: top;
}

mjx-mtable[align="bottom"] > mjx-table {
  vertical-align: bottom;
}

mjx-mtable[side="right"] mjx-labels {
  min-width: 100%;
}

mjx-mtr {
  display: table-row;
  text-align: left;
}

mjx-mtr[rowalign="top"] > mjx-mtd {
  vertical-align: top;
}

mjx-mtr[rowalign="center"] > mjx-mtd {
  vertical-align: middle;
}

mjx-mtr[rowalign="bottom"] > mjx-mtd {
  vertical-align: bottom;
}

mjx-mtr[rowalign="baseline"] > mjx-mtd {
  vertical-align: baseline;
}

mjx-mtr[rowalign="axis"] > mjx-mtd {
  vertical-align: .25em;
}

mjx-mtd {
  display: table-cell;
  text-align: center;
  padding: .215em .4em;
}

mjx-mtd:first-child {
  padding-left: 0;
}

mjx-mtd:last-child {
  padding-right: 0;
}

mjx-mtable > * > mjx-itable > *:first-child > mjx-mtd {
  padding-top: 0;
}

mjx-mtable > * > mjx-itable > *:last-child > mjx-mtd {
  padding-bottom: 0;
}

mjx-tstrut {
  display: inline-block;
  height: 1em;
  vertical-align: -.25em;
}

mjx-labels[align="left"] > mjx-mtr > mjx-mtd {
  text-align: left;
}

mjx-labels[align="right"] > mjx-mtr > mjx-mtd {
  text-align: right;
}

mjx-mtd[extra] {
  padding: 0;
}

mjx-mtd[rowalign="top"] {
  vertical-align: top;
}

mjx-mtd[rowalign="center"] {
  vertical-align: middle;
}

mjx-mtd[rowalign="bottom"] {
  vertical-align: bottom;
}

mjx-mtd[rowalign="baseline"] {
  vertical-align: baseline;
}

mjx-mtd[rowalign="axis"] {
  vertical-align: .25em;
}

mjx-munder {
  display: inline-block;
  text-align: left;
}

mjx-over {
  text-align: left;
}

mjx-munder:not([limits="false"]) {
  display: inline-table;
}

mjx-munder > mjx-row {
  text-align: left;
}

mjx-under {
  padding-bottom: .1em;
}

mjx-stretchy-h.mjx-c2192 > mjx-ext > mjx-spacer {
  margin-left: -0.169em;
}

mjx-stretchy-h.mjx-c2192 > mjx-ext {
  padding: 0.431em 0 0 0;
  border-width: 0 0.447em 0 0;
}

mjx-stretchy-h.mjx-c2192 > mjx-end {
  padding: 0.431em 0.507em 0 0;
  margin-left: -0.507em;
}

mjx-stretchy-h.mjx-c2015 > mjx-ext > mjx-spacer {
  margin-left: -0.576em;
  letter-spacing: -0.182em;
}

mjx-stretchy-h.mjx-c2015 > mjx-ext {
  padding: 0.27em 0 0 0;
}

mjx-c.mjx-c1D437 {
  padding: 0.683em 0.828em 0 0;
}

mjx-c.mjx-c31 {
  padding: 0.666em 0.5em 0 0;
}

mjx-c.mjx-c2062 {
  padding: 0 0 0 0;
}

mjx-c.mjx-c1D445 {
  padding: 0.683em 0.759em 0.022em 0;
}

mjx-c.mjx-c1D465 {
  padding: 0.442em 0.572em 0.011em 0;
}

mjx-c.mjx-c3D {
  padding: 0.367em 0.778em 0 0;
}

mjx-c.mjx-c38 {
  padding: 0.666em 0.5em 0.022em 0;
}

mjx-c.mjx-c1D466 {
  padding: 0.442em 0.49em 0.205em 0;
}

mjx-c.mjx-c30 {
  padding: 0.666em 0.5em 0.022em 0;
}

mjx-c.mjx-c1D442 {
  padding: 0.705em 0.763em 0.022em 0;
}

mjx-c.mjx-c2061 {
  padding: 0 0 0 0;
}

mjx-c.mjx-c28 {
  padding: 0.748em 0.389em 0.248em 0;
}

mjx-c.mjx-c2C {
  padding: 0.106em 0.278em 0.193em 0;
}

mjx-c.mjx-c29 {
  padding: 0.748em 0.389em 0.248em 0;
}

mjx-c.mjx-c2E {
  padding: 0.106em 0.278em 0 0;
}

mjx-c.mjx-c35 {
  padding: 0.666em 0.5em 0.022em 0;
}

mjx-c.mjx-c57 {
  padding: 0.683em 1.028em 0.022em 0;
}

mjx-c.mjx-c69 {
  padding: 0.657em 0.278em 0 0;
}

mjx-c.mjx-c64 {
  padding: 0.694em 0.556em 0.011em 0;
}

mjx-c.mjx-c74 {
  padding: 0.615em 0.389em 0.011em 0;
}

mjx-c.mjx-c68 {
  padding: 0.694em 0.556em 0 0;
}

mjx-c.mjx-c2212 {
  padding: 0.583em 0.778em 0.083em 0;
}

mjx-c.mjx-c1D7D1 {
  padding: 0.655em 0.575em 0.011em 0;
}

mjx-c.mjx-c2E.NCM-B {
  padding: 0.156em 0.319em 0 0;
}

mjx-c.mjx-c1D7D3 {
  padding: 0.655em 0.575em 0.011em 0;
}

mjx-c.mjx-cA0 {
  padding: 0 0.332em 0 0;
}

mjx-c.mjx-c66 {
  padding: 0.705em 0.357em 0 0;
}

mjx-c.mjx-c65 {
  padding: 0.448em 0.444em 0.011em 0;
}

mjx-c.mjx-c1D435 {
  padding: 0.683em 0.759em 0 0;
}

mjx-c.mjx-c32 {
  padding: 0.666em 0.5em 0 0;
}

mjx-c.mjx-c34 {
  padding: 0.677em 0.5em 0 0;
}

mjx-c.mjx-c1D7D0 {
  padding: 0.655em 0.575em 0 0;
}

mjx-c.mjx-c1D446 {
  padding: 0.705em 0.645em 0.022em 0;
}

mjx-c.mjx-c1D444 {
  padding: 0.705em 0.791em 0.194em 0;
}

mjx-c.mjx-c1D443 {
  padding: 0.683em 0.754em 0 0;
}

mjx-c.mjx-c33 {
  padding: 0.666em 0.5em 0.022em 0;
}

mjx-c.mjx-c2B {
  padding: 0.583em 0.778em 0.083em 0;
}

mjx-c.mjx-c2260 {
  padding: 0.73em 0.778em 0.23em 0;
}

mjx-c.mjx-c39 {
  padding: 0.666em 0.5em 0.022em 0;
}

mjx-c.mjx-c37 {
  padding: 0.676em 0.5em 0.022em 0;
}

mjx-c.mjx-c4C {
  padding: 0.683em 0.625em 0 0;
}

mjx-c.mjx-c6E {
  padding: 0.442em 0.556em 0 0;
}

mjx-c.mjx-c67 {
  padding: 0.453em 0.5em 0.206em 0;
}

mjx-c.mjx-c1D44A {
  padding: 0.683em 1.048em 0.022em 0;
}

mjx-c.mjx-c3C {
  padding: 0.547em 0.778em 0.052em 0;
}

mjx-c.mjx-c36 {
  padding: 0.666em 0.5em 0.022em 0;
}

mjx-c.mjx-c1D43B {
  padding: 0.683em 0.881em 0 0;
}

mjx-c.mjx-cD7 {
  padding: 0.491em 0.778em 0 0;
}

mjx-c.mjx-c28.NCM-B {
  padding: 0.75em 0.447em 0.249em 0;
}

mjx-c.mjx-c2212.NCM-B {
  padding: 0.281em 0.894em 0 0;
}

mjx-c.mjx-c1D7D4 {
  padding: 0.655em 0.575em 0.011em 0;
}

mjx-c.mjx-c2C.NCM-B {
  padding: 0.156em 0.319em 0.194em 0;
}

mjx-c.mjx-c1D7CE {
  padding: 0.655em 0.575em 0.011em 0;
}

mjx-c.mjx-c29.NCM-B {
  padding: 0.75em 0.447em 0.249em 0;
}

mjx-c.mjx-c1D7D2 {
  padding: 0.656em 0.575em 0 0;
}

mjx-c.mjx-c61 {
  padding: 0.448em 0.5em 0.011em 0;
}

mjx-c.mjx-c1D434 {
  padding: 0.716em 0.75em 0 0;
}

mjx-c.mjx-c2265 {
  padding: 0.631em 0.778em 0.119em 0;
}

mjx-c.mjx-c63 {
  padding: 0.448em 0.444em 0.011em 0;
}

mjx-c.mjx-c72 {
  padding: 0.442em 0.392em 0 0;
}

mjx-c.mjx-c6C {
  padding: 0.694em 0.278em 0 0;
}

mjx-c.mjx-c6F {
  padding: 0.448em 0.5em 0.011em 0;
}

mjx-c.mjx-c70 {
  padding: 0.442em 0.556em 0.194em 0;
}

mjx-c.mjx-c62 {
  padding: 0.694em 0.556em 0.011em 0;
}

mjx-c.mjx-c6D {
  padding: 0.442em 0.833em 0 0;
}

mjx-c.mjx-c1D7D7 {
  padding: 0.655em 0.575em 0.011em 0;
}

mjx-c.mjx-c1D440 {
  padding: 0.683em 1.044em 0 0;
}

mjx-c.mjx-c48 {
  padding: 0.683em 0.75em 0 0;
}

mjx-c.mjx-c79 {
  padding: 0.431em 0.528em 0.205em 0;
}

mjx-c.mjx-c75 {
  padding: 0.442em 0.556em 0.011em 0;
}

mjx-c.mjx-c73 {
  padding: 0.448em 0.394em 0.011em 0;
}

mjx-c.mjx-c42 {
  padding: 0.683em 0.708em 0 0;
}

mjx-c.mjx-c50 {
  padding: 0.683em 0.681em 0 0;
}

mjx-c.mjx-c1D436 {
  padding: 0.705em 0.76em 0.022em 0;
}

mjx-c.mjx-c78 {
  padding: 0.431em 0.528em 0 0;
}

mjx-c.mjx-c2D {
  padding: 0.245em 0.333em 0 0;
}

mjx-c.mjx-c20 {
  padding: 0 0.332em 0 0;
}

mjx-c.mjx-c221A.NCM-SO {
  padding: 0.85em 1.02em 0.35em 0;
}

mjx-c.mjx-c221A {
  padding: 0.04em 0.853em 0.96em 0;
}

mjx-c.mjx-c7A {
  padding: 0.431em 0.444em 0 0;
}

mjx-c.mjx-c7C {
  padding: 0.75em 0.278em 0.25em 0;
}

mjx-c.mjx-c56 {
  padding: 0.683em 0.75em 0.022em 0;
}

mjx-c.mjx-c2218 {
  padding: 0.4em 0.412em 0 0;
}

mjx-c.mjx-c2032.NCM-V {
  padding: 0.549em 0.407em 0 0;
}

mjx-c.mjx-c52 {
  padding: 0.683em 0.736em 0.022em 0;
}

mjx-c.mjx-c2192 {
  padding: 0.51em 1em 0.01em 0;
}

mjx-c.mjx-c1D400 {
  padding: 0.698em 0.869em 0 0;
}

mjx-c.mjx-c1D403 {
  padding: 0.686em 0.882em 0 0;
}

mjx-c.mjx-c1D7D5 {
  padding: 0.676em 0.575em 0.011em 0;
}

mjx-c.mjx-c1D7CF {
  padding: 0.655em 0.575em 0 0;
}

mjx-c.mjx-c1D40C {
  padding: 0.686em 1.092em 0 0;
}

mjx-c.mjx-c221A.NCM-LO {
  padding: 1.15em 1.02em 0.651em 0;
}

mjx-c.mjx-c394 {
  padding: 0.716em 0.833em 0 0;
}

mjx-c.mjx-c1D44D {
  padding: 0.683em 0.723em 0 0;
}

mjx-c.mjx-c1D43C {
  padding: 0.684em 0.497em 0.001em 0;
}

mjx-c.mjx-c1D441 {
  padding: 0.683em 0.881em 0 0;
}

mjx-c.mjx-c2220 {
  padding: 0.724em 0.778em 0 0;
}

mjx-c.mjx-c1D43A {
  padding: 0.705em 0.786em 0.022em 0;
}

mjx-c.mjx-c44 {
  padding: 0.683em 0.764em 0 0;
}

mjx-c.mjx-c1D7D6 {
  padding: 0.655em 0.575em 0.011em 0;
}

mjx-c.mjx-c2248 {
  padding: 0.457em 0.773em 0 0;
}

mjx-c.mjx-c1D449 {
  padding: 0.683em 0.77em 0.022em 0;
}

mjx-c.mjx-c1D447 {
  padding: 0.677em 0.704em 0 0;
}

mjx-c.mjx-c53 {
  padding: 0.705em 0.556em 0.022em 0;
}

mjx-c.mjx-c1D438 {
  padding: 0.68em 0.766em 0 0;
}

mjx-c.mjx-c1D451 {
  padding: 0.694em 0.52em 0.011em 0;
}

mjx-c.mjx-c3E {
  padding: 0.547em 0.778em 0.047em 0;
}

mjx-c.mjx-c1D439 {
  padding: 0.68em 0.751em 0 0;
}

mjx-c.mjx-c1D44E {
  padding: 0.442em 0.529em 0.011em 0;
}

mjx-c.mjx-c1D44F {
  padding: 0.694em 0.429em 0.011em 0;
}

mjx-c.mjx-c27F9 {
  padding: 0.52em 1.457em 0.02em 0;
}

mjx-c.mjx-c45 {
  padding: 0.68em 0.681em 0 0;
}

mjx-c.mjx-c71 {
  padding: 0.442em 0.528em 0.194em 0;
}

mjx-c.mjx-c1D431 {
  padding: 0.444em 0.607em 0 0;
}

mjx-c.mjx-c3D.NCM-B {
  padding: 0.393em 0.894em 0 0;
}

mjx-c.mjx-c54 {
  padding: 0.677em 0.722em 0 0;
}

mjx-c.mjx-c1D432 {
  padding: 0.444em 0.607em 0.2em 0;
}

mjx-c.mjx-c1D401 {
  padding: 0.686em 0.818em 0 0;
}

mjx-c.mjx-c1D402 {
  padding: 0.697em 0.831em 0.011em 0;
}

mjx-c.mjx-c2264 {
  padding: 0.631em 0.778em 0.119em 0;
}

mjx-c.mjx-c1D45F {
  padding: 0.442em 0.451em 0.011em 0;
}

mjx-c.mjx-c41 {
  padding: 0.716em 0.75em 0 0;
}

mjx-c.mjx-c1D459 {
  padding: 0.694em 0.298em 0.011em 0;
}

mjx-c.mjx-c1D464 {
  padding: 0.442em 0.716em 0.011em 0;
}

mjx-c.mjx-c22C5 {
  padding: 0.303em 0.278em 0 0;
}

mjx-c.mjx-c1D467 {
  padding: 0.442em 0.467em 0.011em 0;
}

mjx-c.mjx-c1D45A {
  padding: 0.442em 0.878em 0.011em 0;
}

mjx-c.mjx-c1D460 {
  padding: 0.442em 0.469em 0.011em 0;
}

mjx-c.mjx-c3A {
  padding: 0.431em 0.278em 0 0;
}

mjx-c.mjx-c1D45B {
  padding: 0.442em 0.6em 0.011em 0;
}

mjx-c.mjx-c4E {
  padding: 0.683em 0.75em 0 0;
}

mjx-c.mjx-c6B {
  padding: 0.694em 0.528em 0 0;
}

mjx-c.mjx-c2B.NCM-B {
  padding: 0.633em 0.894em 0.132em 0;
}

mjx-c.mjx-c1D427 {
  padding: 0.45em 0.639em 0 0;
}

mjx-c.mjx-c1D41B {
  padding: 0.694em 0.639em 0.006em 0;
}

mjx-c.mjx-c210E {
  padding: 0.694em 0.576em 0.011em 0;
}

mjx-c.mjx-c1D421 {
  padding: 0.694em 0.639em 0 0;
}

mjx-c.mjx-c1D461 {
  padding: 0.626em 0.361em 0.011em 0;
}

mjx-c.mjx-c1D42D {
  padding: 0.635em 0.447em 0.006em 0;
}

mjx-c.mjx-c1D463 {
  padding: 0.442em 0.485em 0.011em 0;
}

mjx-c.mjx-c1D42F {
  padding: 0.444em 0.607em 0.004em 0;
}

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mjx-c.mjx-c29.NCM-S7 {
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.NCM-MM {
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}

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}

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