/* [project]/components/profile-card/ProfileCard.css [app-client] (css) */
:root {
  --pointer-x: 50%;
  --pointer-y: 50%;
  --pointer-from-center: 0;
  --pointer-from-top: .5;
  --pointer-from-left: .5;
  --card-opacity: 0;
  --rotate-x: 0deg;
  --rotate-y: 0deg;
  --background-x: 50%;
  --background-y: 50%;
  --grain: none;
  --icon: none;
  --behind-gradient: none;
  --inner-gradient: none;
  --sunpillar-1: #ff7a75;
  --sunpillar-2: #ffed61;
  --sunpillar-3: #a8ff61;
  --sunpillar-4: #85fff7;
  --sunpillar-5: #7a95ff;
  --sunpillar-6: #d875ff;
  --sunpillar-clr-1: var(--sunpillar-1);
  --sunpillar-clr-2: var(--sunpillar-2);
  --sunpillar-clr-3: var(--sunpillar-3);
  --sunpillar-clr-4: var(--sunpillar-4);
  --sunpillar-clr-5: var(--sunpillar-5);
  --sunpillar-clr-6: var(--sunpillar-6);
  --card-radius: 30px;
}

.pc-card-wrapper {
  perspective: 500px;
  touch-action: none;
  position: relative;
  transform: translate3d(0, 0, .1px);
}

.pc-card-wrapper:before {
  content: "";
  background: inherit;
  background-position: inherit;
  border-radius: inherit;
  filter: contrast(2) saturate(2) blur(36px);
  background-size: 100% 100%;
  background-image: var(--behind-gradient);
  transition: all .5s;
  position: absolute;
  inset: -10px;
  transform: scale(.8)translate3d(0, 0, .1px);
}

.pc-card-wrapper:hover, .pc-card-wrapper.active {
  --card-opacity: 1;
}

.pc-card-wrapper:hover:before, .pc-card-wrapper.active:before {
  filter: contrast() saturate(2) blur(40px) opacity();
  transform: scale(.9)translate3d(0, 0, .1px);
}

.pc-card {
  aspect-ratio: .718;
  border-radius: var(--card-radius);
  background-blend-mode: color-dodge, normal, normal, normal;
  height: 80svh;
  max-height: 540px;
  box-shadow: #000c calc((var(--pointer-from-left) * 10px)  - 3px) calc((var(--pointer-from-top) * 20px)  - 6px) 20px -5px;
  background-position: 0 0, 0 0, 50%, 0 0;
  background-size: 100% 100%;
  background-image: radial-gradient(farthest-side circle at var(--pointer-x) var(--pointer-y), hsla(266, 100%, 90%, var(--card-opacity)) 4%, hsla(266, 50%, 80%, calc(var(--card-opacity) * .75)) 10%, hsla(266, 25%, 70%, calc(var(--card-opacity) * .5)) 50%, #9990 100%), radial-gradient(35% 52% at 55% 20%, #00ffaac4 0%, #073aff00 100%), radial-gradient(100% 100% at 50% 50%, #00c1ff 1%, #073aff00 76%), conic-gradient(from 124deg at 50% 50%, #c137ff 0%, #07c6ff 40%, #07c6ff 60%, #c137ff 100%);
  transition: transform 1s;
  animation: 12s linear infinite glow-bg;
  display: grid;
  position: relative;
  overflow: hidden;
  transform: translate3d(0, 0, .1px)rotateX(0)rotateY(0);
}

.pc-card:hover, .pc-card.active {
  transform: translate3d(0, 0, .1px) rotateX(var(--rotate-y)) rotateY(var(--rotate-x));
  transition: none;
}

.pc-card * {
  border-radius: var(--card-radius);
  pointer-events: none;
  grid-area: 1 / -1;
  display: grid;
  transform: translate3d(0, 0, .1px);
}

.pc-inside {
  background-image: var(--inner-gradient);
  background-color: #000000e6;
  position: absolute;
  inset: 1px;
  transform: translate3d(0, 0, .01px);
}

.pc-shine {
  -webkit-mask-image: var(--icon);
  mask-image: var(--icon);
  -webkit-mask-size: 150%;
  mask-size: 150%;
  -webkit-mask-repeat: repeat;
  mask-repeat: repeat;
  -webkit-mask-source-type: luminance;
  mask-mode: luminance;
  -webkit-mask-position: top calc(200% - (var(--background-y) * 5)) left calc(100% - var(--background-x));
  mask-position: top calc(200% - (var(--background-y) * 5)) left calc(100% - var(--background-x));
  filter: brightness(.66) contrast(1.33) saturate(.33) opacity(.5);
  mix-blend-mode: color-dodge;
  transition: filter .6s;
  animation: 18s linear infinite holo-bg;
}

.pc-shine, .pc-shine:after {
  --space: 5%;
  --angle: -45deg;
  z-index: 3;
  background: center / cover;
  background-image: repeating-linear-gradient(0deg, var(--sunpillar-clr-1) calc(var(--space) * 1), var(--sunpillar-clr-2) calc(var(--space) * 2), var(--sunpillar-clr-3) calc(var(--space) * 3), var(--sunpillar-clr-4) calc(var(--space) * 4), var(--sunpillar-clr-5) calc(var(--space) * 5), var(--sunpillar-clr-6) calc(var(--space) * 6), var(--sunpillar-clr-1) calc(var(--space) * 7)), repeating-linear-gradient(var(--angle), #0e152e 0%, #8fa3a3 3.8%, #8fc1c1 4.5%, #8fa3a3 5.2%, #0e152e 10%, #0e152e 12%), radial-gradient(farthest-corner circle at var(--pointer-x) var(--pointer-y), #0000001a 12%, #00000026 20%, #00000040 120%);
  background-position: 0 var(--background-y), var(--background-x) var(--background-y), center;
  background-blend-mode: color, hard-light;
  background-repeat: repeat;
  background-size: 500% 500%, 300% 300%, 200% 200%;
  overflow: hidden;
  transform: translate3d(0, 0, 1px);
}

.pc-shine:before, .pc-shine:after {
  content: "";
  opacity: 0;
  background-position: center;
  background-size: cover;
  grid-area: 1 / 1;
}

.pc-card:hover .pc-shine, .pc-card.active .pc-shine {
  filter: brightness(.85) contrast(1.5) saturate(.5);
  animation: none;
}

.pc-card:hover .pc-shine:before, .pc-card.active .pc-shine:before, .pc-card:hover .pc-shine:after, .pc-card.active .pc-shine:after {
  opacity: 1;
}

.pc-shine:before {
  background-image: linear-gradient(45deg, var(--sunpillar-4), var(--sunpillar-5), var(--sunpillar-6), var(--sunpillar-1), var(--sunpillar-2), var(--sunpillar-3)), radial-gradient(circle at var(--pointer-x) var(--pointer-y), #b3b3b3 0%, #4d4d4d33 90%), var(--grain);
  background-size: 250% 250%, 100% 100%, 220px 220px;
  background-position: var(--pointer-x) var(--pointer-y), center, calc(var(--pointer-x) * .01) calc(var(--pointer-y) * .01);
  background-blend-mode: color-dodge;
  filter: brightness(calc(2 - var(--pointer-from-center))) contrast(calc(var(--pointer-from-center)  + 2)) saturate(calc(.5 + var(--pointer-from-center)));
  mix-blend-mode: luminosity;
}

.pc-shine:after {
  background-position: 0 var(--background-y), calc(var(--background-x) * .4) calc(var(--background-y) * .5), center;
  mix-blend-mode: difference;
  filter: brightness(.8) contrast(1.5);
  background-size: 200% 300%, 700% 700%, 100% 100%;
}

.pc-glare {
  background-image: radial-gradient(farthest-corner circle at var(--pointer-x) var(--pointer-y), #c3bfd9 12%, #2e506bcc 90%);
  mix-blend-mode: overlay;
  filter: brightness(.8) contrast(1.2);
  z-index: 4;
  overflow: hidden;
  transform: translate3d(0, 0, 1.1px);
}

.pc-avatar-content {
  mix-blend-mode: screen;
  overflow: hidden;
}

.pc-avatar-content .avatar {
  width: 100%;
  opacity: calc(1.75 - var(--pointer-from-center));
  position: absolute;
  bottom: 2px;
  left: 50%;
  transform: translateX(-50%)scale(1);
}

.pc-avatar-content:before {
  content: "";
  z-index: 1;
  -webkit-backdrop-filter: blur(30px);
  backdrop-filter: blur(30px);
  pointer-events: none;
  position: absolute;
  inset: 0;
  -webkit-mask: linear-gradient(#0000 0% 60%, #000 90% 100%);
  mask: linear-gradient(#0000 0% 60%, #000 90% 100%);
}

.pc-user-info {
  z-index: 2;
  -webkit-backdrop-filter: blur(30px);
  backdrop-filter: blur(30px);
  pointer-events: auto;
  background: #ffffff1a;
  border: 1px solid #ffffff1a;
  border-radius: 15px;
  justify-content: space-between;
  align-items: center;
  padding: 12px 14px;
  display: flex;
  position: absolute;
  bottom: 20px;
  left: 20px;
  right: 20px;
}

.pc-user-details {
  align-items: center;
  gap: 12px;
  display: flex;
}

.pc-mini-avatar {
  border: 1px solid #ffffff1a;
  border-radius: 50%;
  flex-shrink: 0;
  width: 48px;
  height: 48px;
  overflow: hidden;
}

.pc-mini-avatar img {
  object-fit: cover;
  border-radius: 50%;
  width: 100%;
  height: 100%;
}

.pc-user-text {
  flex-direction: column;
  align-items: flex-start;
  gap: 6px;
  display: flex;
}

.pc-handle {
  color: #ffffffe6;
  font-size: 14px;
  font-weight: 500;
  line-height: 1;
}

.pc-status {
  color: #ffffffb3;
  font-size: 14px;
  line-height: 1;
}

.pc-contact-btn {
  color: #ffffffe6;
  cursor: pointer;
  -webkit-backdrop-filter: blur(10px);
  backdrop-filter: blur(10px);
  border: 1px solid #ffffff1a;
  border-radius: 8px;
  padding: 8px 16px;
  font-size: 14px;
  font-weight: 600;
  transition: all .2s;
}

.pc-contact-btn:hover {
  border-color: #fff6;
  transition: all .2s;
  transform: translateY(-1px);
}

.pc-content {
  text-align: center;
  z-index: 5;
  mix-blend-mode: luminosity;
  max-height: 100%;
  position: relative;
  overflow: hidden;
  transform: translate3d(calc(var(--pointer-from-left) * -6px + 3px), calc(var(--pointer-from-top) * -6px + 3px), .1px) !important;
}

.pc-details {
  flex-direction: column;
  width: 100%;
  display: flex;
  position: absolute;
  top: 3em;
}

.pc-details h3 {
  -webkit-text-fill-color: transparent;
  background-image: linear-gradient(#fff, #6f6fbe);
  background-size: 1em 1.5em;
  -webkit-background-clip: text;
  background-clip: text;
  margin: 0;
  font-size: min(5svh, 3em);
  font-weight: 600;
}

.pc-details p {
  white-space: nowrap;
  -webkit-text-fill-color: transparent;
  background-image: linear-gradient(#fff, #4a4ac0);
  background-size: 1em 1.5em;
  -webkit-background-clip: text;
  background-clip: text;
  width: min-content;
  margin: 0 auto;
  font-size: 16px;
  font-weight: 600;
  position: relative;
  top: -12px;
}

@keyframes glow-bg {
  0% {
    --bgrotate: 0deg;
  }

  100% {
    --bgrotate: 360deg;
  }
}

@keyframes holo-bg {
  0% {
    background-position: 0 var(--background-y), 0 0, center;
  }

  100% {
    background-position: 0 var(--background-y), 90% 90%, center;
  }
}

@media (max-width: 768px) {
  .pc-card {
    height: 70svh;
    max-height: 450px;
  }

  .pc-details {
    top: 2em;
  }

  .pc-details h3 {
    font-size: min(4svh, 2.5em);
  }

  .pc-details p {
    font-size: 14px;
  }

  .pc-user-info {
    padding: 10px 12px;
    bottom: 15px;
    left: 15px;
    right: 15px;
  }

  .pc-mini-avatar {
    width: 28px;
    height: 28px;
  }

  .pc-user-details {
    gap: 10px;
  }

  .pc-handle {
    font-size: 13px;
  }

  .pc-status {
    font-size: 10px;
  }

  .pc-contact-btn {
    padding: 6px 12px;
    font-size: 11px;
  }
}

@media (max-width: 480px) {
  .pc-card {
    height: 60svh;
    max-height: 380px;
  }

  .pc-details {
    top: 1.5em;
  }

  .pc-details h3 {
    font-size: min(3.5svh, 2em);
  }

  .pc-details p {
    font-size: 12px;
    top: -8px;
  }

  .pc-user-info {
    border-radius: 50px;
    padding: 8px 10px;
    bottom: 12px;
    left: 12px;
    right: 12px;
  }

  .pc-mini-avatar {
    width: 24px;
    height: 24px;
  }

  .pc-user-details {
    gap: 8px;
  }

  .pc-handle {
    font-size: 12px;
  }

  .pc-status {
    font-size: 9px;
  }

  .pc-contact-btn {
    border-radius: 50px;
    padding: 5px 10px;
    font-size: 10px;
  }
}

@media (max-width: 320px) {
  .pc-card {
    height: 55svh;
    max-height: 320px;
  }

  .pc-details h3 {
    font-size: min(3svh, 1.5em);
  }

  .pc-details p {
    font-size: 11px;
  }

  .pc-user-info {
    border-radius: 50px;
    padding: 6px 8px;
  }

  .pc-mini-avatar {
    width: 20px;
    height: 20px;
  }

  .pc-user-details {
    gap: 6px;
  }

  .pc-handle {
    font-size: 11px;
  }

  .pc-status {
    font-size: 8px;
  }

  .pc-contact-btn {
    border-radius: 50px;
    padding: 4px 8px;
    font-size: 9px;
  }
}

/* [project]/node_modules/.pnpm/katex@0.16.25/node_modules/katex/dist/katex.min.css [app-client] (css) */
@font-face {
  font-display: block;
  font-family: KaTeX_AMS;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_AMS-Regular.c30af439.woff2") format("woff2"), url("../media/KaTeX_AMS-Regular.e6a3cada.woff") format("woff"), url("../media/KaTeX_AMS-Regular.892f691b.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Caligraphic;
  font-style: normal;
  font-weight: 700;
  src: url("../media/KaTeX_Caligraphic-Bold.db991531.woff2") format("woff2"), url("../media/KaTeX_Caligraphic-Bold.2f97783e.woff") format("woff"), url("../media/KaTeX_Caligraphic-Bold.a36b8125.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Caligraphic;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_Caligraphic-Regular.c20eee08.woff2") format("woff2"), url("../media/KaTeX_Caligraphic-Regular.2b13f013.woff") format("woff"), url("../media/KaTeX_Caligraphic-Regular.7c50032c.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Fraktur;
  font-style: normal;
  font-weight: 700;
  src: url("../media/KaTeX_Fraktur-Bold.d514bd28.woff2") format("woff2"), url("../media/KaTeX_Fraktur-Bold.5fa2f5e4.woff") format("woff"), url("../media/KaTeX_Fraktur-Bold.e311399d.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Fraktur;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_Fraktur-Regular.5d62e468.woff2") format("woff2"), url("../media/KaTeX_Fraktur-Regular.18139813.woff") format("woff"), url("../media/KaTeX_Fraktur-Regular.2a73476d.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Main;
  font-style: normal;
  font-weight: 700;
  src: url("../media/KaTeX_Main-Bold.f4e2828d.woff2") format("woff2"), url("../media/KaTeX_Main-Bold.c24b5ba7.woff") format("woff"), url("../media/KaTeX_Main-Bold.6d137c77.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Main;
  font-style: italic;
  font-weight: 700;
  src: url("../media/KaTeX_Main-BoldItalic.f1884480.woff2") format("woff2"), url("../media/KaTeX_Main-BoldItalic.079b33ae.woff") format("woff"), url("../media/KaTeX_Main-BoldItalic.c003d3ec.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Main;
  font-style: italic;
  font-weight: 400;
  src: url("../media/KaTeX_Main-Italic.a3746929.woff2") format("woff2"), url("../media/KaTeX_Main-Italic.26a3619b.woff") format("woff"), url("../media/KaTeX_Main-Italic.61da3e93.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Main;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_Main-Regular.12644167.woff2") format("woff2"), url("../media/KaTeX_Main-Regular.d511f158.woff") format("woff"), url("../media/KaTeX_Main-Regular.876b86ad.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 700;
  src: url("../media/KaTeX_Math-BoldItalic.5c6a6a93.woff2") format("woff2"), url("../media/KaTeX_Math-BoldItalic.ad4dffd5.woff") format("woff"), url("../media/KaTeX_Math-BoldItalic.e73b3bf0.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 400;
  src: url("../media/KaTeX_Math-Italic.d8564edb.woff2") format("woff2"), url("../media/KaTeX_Math-Italic.1cd2c488.woff") format("woff"), url("../media/KaTeX_Math-Italic.03974bc4.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_SansSerif;
  font-style: normal;
  font-weight: 700;
  src: url("../media/KaTeX_SansSerif-Bold.a03f9428.woff2") format("woff2"), url("../media/KaTeX_SansSerif-Bold.ff51ef5c.woff") format("woff"), url("../media/KaTeX_SansSerif-Bold.d4608ed5.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_SansSerif;
  font-style: italic;
  font-weight: 400;
  src: url("../media/KaTeX_SansSerif-Italic.9245afda.woff2") format("woff2"), url("../media/KaTeX_SansSerif-Italic.8ed740d6.woff") format("woff"), url("../media/KaTeX_SansSerif-Italic.c0b22b1e.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_SansSerif;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_SansSerif-Regular.128c9bc2.woff2") format("woff2"), url("../media/KaTeX_SansSerif-Regular.ee7b0a16.woff") format("woff"), url("../media/KaTeX_SansSerif-Regular.156dbd4e.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Script;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_Script-Regular.186c7155.woff2") format("woff2"), url("../media/KaTeX_Script-Regular.afc2fd5a.woff") format("woff"), url("../media/KaTeX_Script-Regular.00d9a561.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Size1;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_Size1-Regular.4450ef36.woff2") format("woff2"), url("../media/KaTeX_Size1-Regular.e5bf4c74.woff") format("woff"), url("../media/KaTeX_Size1-Regular.9aaff96b.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Size2;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_Size2-Regular.6a97527b.woff2") format("woff2"), url("../media/KaTeX_Size2-Regular.8fbd32af.woff") format("woff"), url("../media/KaTeX_Size2-Regular.f11810ed.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Size3;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_Size3-Regular.54b7ce9d.woff2") format("woff2"), url("../media/KaTeX_Size3-Regular.45ae8eba.woff") format("woff"), url("../media/KaTeX_Size3-Regular.9812ade2.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Size4;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_Size4-Regular.927fc5b9.woff2") format("woff2"), url("../media/KaTeX_Size4-Regular.b211e3d3.woff") format("woff"), url("../media/KaTeX_Size4-Regular.44a4d487.ttf") format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Typewriter;
  font-style: normal;
  font-weight: 400;
  src: url("../media/KaTeX_Typewriter-Regular.ff99d643.woff2") format("woff2"), url("../media/KaTeX_Typewriter-Regular.68b6c3a9.woff") format("woff"), url("../media/KaTeX_Typewriter-Regular.a1a7ff52.ttf") format("truetype");
}

.katex {
  text-indent: 0;
  text-rendering: auto;
  font: 1.21em / 1.2 KaTeX_Main, Times New Roman, serif;
}

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

.katex .katex-version:after {
  content: "0.16.25";
}

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

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

.katex .base {
  white-space: nowrap;
  width: min-content;
  position: relative;
}

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

.katex .textbf {
  font-weight: 700;
}

.katex .textit {
  font-style: italic;
}

.katex .textrm {
  font-family: KaTeX_Main;
}

.katex .textsf {
  font-family: KaTeX_SansSerif;
}

.katex .texttt {
  font-family: KaTeX_Typewriter;
}

.katex .mathnormal {
  font-family: KaTeX_Math;
  font-style: italic;
}

.katex .mathit {
  font-family: KaTeX_Main;
  font-style: italic;
}

.katex .mathrm {
  font-style: normal;
}

.katex .mathbf {
  font-family: KaTeX_Main;
  font-weight: 700;
}

.katex .boldsymbol {
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 700;
}

.katex .amsrm, .katex .mathbb, .katex .textbb {
  font-family: KaTeX_AMS;
}

.katex .mathcal {
  font-family: KaTeX_Caligraphic;
}

.katex .mathfrak, .katex .textfrak {
  font-family: KaTeX_Fraktur;
}

.katex .mathboldfrak, .katex .textboldfrak {
  font-family: KaTeX_Fraktur;
  font-weight: 700;
}

.katex .mathtt {
  font-family: KaTeX_Typewriter;
}

.katex .mathscr, .katex .textscr {
  font-family: KaTeX_Script;
}

.katex .mathsf, .katex .textsf {
  font-family: KaTeX_SansSerif;
}

.katex .mathboldsf, .katex .textboldsf {
  font-family: KaTeX_SansSerif;
  font-weight: 700;
}

.katex .mathitsf, .katex .mathsfit, .katex .textitsf {
  font-family: KaTeX_SansSerif;
  font-style: italic;
}

.katex .mainrm {
  font-family: KaTeX_Main;
  font-style: normal;
}

.katex .vlist-t {
  border-collapse: collapse;
  table-layout: fixed;
  display: inline-table;
}

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

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

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

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

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

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

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

.katex .vbox {
  flex-direction: column;
  align-items: baseline;
  display: inline-flex;
}

.katex .hbox {
  width: 100%;
}

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

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

.katex .msupsub {
  text-align: left;
}

.katex .mfrac > span > span {
  text-align: center;
}

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

.katex .hdashline, .katex .hline, .katex .mfrac .frac-line, .katex .overline .overline-line, .katex .rule, .katex .underline .underline-line {
  min-height: 1px;
}

.katex .mspace {
  display: inline-block;
}

.katex .clap, .katex .llap, .katex .rlap {
  width: 0;
  position: relative;
}

.katex .clap > .inner, .katex .llap > .inner, .katex .rlap > .inner {
  position: absolute;
}

.katex .clap > .fix, .katex .llap > .fix, .katex .rlap > .fix {
  display: inline-block;
}

.katex .llap > .inner {
  right: 0;
}

.katex .clap > .inner, .katex .rlap > .inner {
  left: 0;
}

.katex .clap > .inner > span {
  margin-left: -50%;
  margin-right: 50%;
}

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

.katex .hline, .katex .overline .overline-line, .katex .underline .underline-line {
  border-bottom-style: solid;
  width: 100%;
  display: inline-block;
}

.katex .hdashline {
  border-bottom-style: dashed;
  width: 100%;
  display: inline-block;
}

.katex .sqrt > .root {
  margin-left: .277778em;
  margin-right: -.555556em;
}

.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;
}

.katex .fontsize-ensurer.reset-size1.size4, .katex .sizing.reset-size1.size4 {
  font-size: 1.6em;
}

.katex .fontsize-ensurer.reset-size1.size5, .katex .sizing.reset-size1.size5 {
  font-size: 1.8em;
}

.katex .fontsize-ensurer.reset-size1.size6, .katex .sizing.reset-size1.size6 {
  font-size: 2em;
}

.katex .fontsize-ensurer.reset-size1.size7, .katex .sizing.reset-size1.size7 {
  font-size: 2.4em;
}

.katex .fontsize-ensurer.reset-size1.size8, .katex .sizing.reset-size1.size8 {
  font-size: 2.88em;
}

.katex .fontsize-ensurer.reset-size1.size9, .katex .sizing.reset-size1.size9 {
  font-size: 3.456em;
}

.katex .fontsize-ensurer.reset-size1.size10, .katex .sizing.reset-size1.size10 {
  font-size: 4.148em;
}

.katex .fontsize-ensurer.reset-size1.size11, .katex .sizing.reset-size1.size11 {
  font-size: 4.976em;
}

.katex .fontsize-ensurer.reset-size2.size1, .katex .sizing.reset-size2.size1 {
  font-size: .833333em;
}

.katex .fontsize-ensurer.reset-size2.size2, .katex .sizing.reset-size2.size2 {
  font-size: 1em;
}

.katex .fontsize-ensurer.reset-size2.size3, .katex .sizing.reset-size2.size3 {
  font-size: 1.16667em;
}

.katex .fontsize-ensurer.reset-size2.size4, .katex .sizing.reset-size2.size4 {
  font-size: 1.33333em;
}

.katex .fontsize-ensurer.reset-size2.size5, .katex .sizing.reset-size2.size5 {
  font-size: 1.5em;
}

.katex .fontsize-ensurer.reset-size2.size6, .katex .sizing.reset-size2.size6 {
  font-size: 1.66667em;
}

.katex .fontsize-ensurer.reset-size2.size7, .katex .sizing.reset-size2.size7 {
  font-size: 2em;
}

.katex .fontsize-ensurer.reset-size2.size8, .katex .sizing.reset-size2.size8 {
  font-size: 2.4em;
}

.katex .fontsize-ensurer.reset-size2.size9, .katex .sizing.reset-size2.size9 {
  font-size: 2.88em;
}

.katex .fontsize-ensurer.reset-size2.size10, .katex .sizing.reset-size2.size10 {
  font-size: 3.45667em;
}

.katex .fontsize-ensurer.reset-size2.size11, .katex .sizing.reset-size2.size11 {
  font-size: 4.14667em;
}

.katex .fontsize-ensurer.reset-size3.size1, .katex .sizing.reset-size3.size1 {
  font-size: .714286em;
}

.katex .fontsize-ensurer.reset-size3.size2, .katex .sizing.reset-size3.size2 {
  font-size: .857143em;
}

.katex .fontsize-ensurer.reset-size3.size3, .katex .sizing.reset-size3.size3 {
  font-size: 1em;
}

.katex .fontsize-ensurer.reset-size3.size4, .katex .sizing.reset-size3.size4 {
  font-size: 1.14286em;
}

.katex .fontsize-ensurer.reset-size3.size5, .katex .sizing.reset-size3.size5 {
  font-size: 1.28571em;
}

.katex .fontsize-ensurer.reset-size3.size6, .katex .sizing.reset-size3.size6 {
  font-size: 1.42857em;
}

.katex .fontsize-ensurer.reset-size3.size7, .katex .sizing.reset-size3.size7 {
  font-size: 1.71429em;
}

.katex .fontsize-ensurer.reset-size3.size8, .katex .sizing.reset-size3.size8 {
  font-size: 2.05714em;
}

.katex .fontsize-ensurer.reset-size3.size9, .katex .sizing.reset-size3.size9 {
  font-size: 2.46857em;
}

.katex .fontsize-ensurer.reset-size3.size10, .katex .sizing.reset-size3.size10 {
  font-size: 2.96286em;
}

.katex .fontsize-ensurer.reset-size3.size11, .katex .sizing.reset-size3.size11 {
  font-size: 3.55429em;
}

.katex .fontsize-ensurer.reset-size4.size1, .katex .sizing.reset-size4.size1 {
  font-size: .625em;
}

.katex .fontsize-ensurer.reset-size4.size2, .katex .sizing.reset-size4.size2 {
  font-size: .75em;
}

.katex .fontsize-ensurer.reset-size4.size3, .katex .sizing.reset-size4.size3 {
  font-size: .875em;
}

.katex .fontsize-ensurer.reset-size4.size4, .katex .sizing.reset-size4.size4 {
  font-size: 1em;
}

.katex .fontsize-ensurer.reset-size4.size5, .katex .sizing.reset-size4.size5 {
  font-size: 1.125em;
}

.katex .fontsize-ensurer.reset-size4.size6, .katex .sizing.reset-size4.size6 {
  font-size: 1.25em;
}

.katex .fontsize-ensurer.reset-size4.size7, .katex .sizing.reset-size4.size7 {
  font-size: 1.5em;
}

.katex .fontsize-ensurer.reset-size4.size8, .katex .sizing.reset-size4.size8 {
  font-size: 1.8em;
}

.katex .fontsize-ensurer.reset-size4.size9, .katex .sizing.reset-size4.size9 {
  font-size: 2.16em;
}

.katex .fontsize-ensurer.reset-size4.size10, .katex .sizing.reset-size4.size10 {
  font-size: 2.5925em;
}

.katex .fontsize-ensurer.reset-size4.size11, .katex .sizing.reset-size4.size11 {
  font-size: 3.11em;
}

.katex .fontsize-ensurer.reset-size5.size1, .katex .sizing.reset-size5.size1 {
  font-size: .555556em;
}

.katex .fontsize-ensurer.reset-size5.size2, .katex .sizing.reset-size5.size2 {
  font-size: .666667em;
}

.katex .fontsize-ensurer.reset-size5.size3, .katex .sizing.reset-size5.size3 {
  font-size: .777778em;
}

.katex .fontsize-ensurer.reset-size5.size4, .katex .sizing.reset-size5.size4 {
  font-size: .888889em;
}

.katex .fontsize-ensurer.reset-size5.size5, .katex .sizing.reset-size5.size5 {
  font-size: 1em;
}

.katex .fontsize-ensurer.reset-size5.size6, .katex .sizing.reset-size5.size6 {
  font-size: 1.11111em;
}

.katex .fontsize-ensurer.reset-size5.size7, .katex .sizing.reset-size5.size7 {
  font-size: 1.33333em;
}

.katex .fontsize-ensurer.reset-size5.size8, .katex .sizing.reset-size5.size8 {
  font-size: 1.6em;
}

.katex .fontsize-ensurer.reset-size5.size9, .katex .sizing.reset-size5.size9 {
  font-size: 1.92em;
}

.katex .fontsize-ensurer.reset-size5.size10, .katex .sizing.reset-size5.size10 {
  font-size: 2.30444em;
}

.katex .fontsize-ensurer.reset-size5.size11, .katex .sizing.reset-size5.size11 {
  font-size: 2.76444em;
}

.katex .fontsize-ensurer.reset-size6.size1, .katex .sizing.reset-size6.size1 {
  font-size: .5em;
}

.katex .fontsize-ensurer.reset-size6.size2, .katex .sizing.reset-size6.size2 {
  font-size: .6em;
}

.katex .fontsize-ensurer.reset-size6.size3, .katex .sizing.reset-size6.size3 {
  font-size: .7em;
}

.katex .fontsize-ensurer.reset-size6.size4, .katex .sizing.reset-size6.size4 {
  font-size: .8em;
}

.katex .fontsize-ensurer.reset-size6.size5, .katex .sizing.reset-size6.size5 {
  font-size: .9em;
}

.katex .fontsize-ensurer.reset-size6.size6, .katex .sizing.reset-size6.size6 {
  font-size: 1em;
}

.katex .fontsize-ensurer.reset-size6.size7, .katex .sizing.reset-size6.size7 {
  font-size: 1.2em;
}

.katex .fontsize-ensurer.reset-size6.size8, .katex .sizing.reset-size6.size8 {
  font-size: 1.44em;
}

.katex .fontsize-ensurer.reset-size6.size9, .katex .sizing.reset-size6.size9 {
  font-size: 1.728em;
}

.katex .fontsize-ensurer.reset-size6.size10, .katex .sizing.reset-size6.size10 {
  font-size: 2.074em;
}

.katex .fontsize-ensurer.reset-size6.size11, .katex .sizing.reset-size6.size11 {
  font-size: 2.488em;
}

.katex .fontsize-ensurer.reset-size7.size1, .katex .sizing.reset-size7.size1 {
  font-size: .416667em;
}

.katex .fontsize-ensurer.reset-size7.size2, .katex .sizing.reset-size7.size2 {
  font-size: .5em;
}

.katex .fontsize-ensurer.reset-size7.size3, .katex .sizing.reset-size7.size3 {
  font-size: .583333em;
}

.katex .fontsize-ensurer.reset-size7.size4, .katex .sizing.reset-size7.size4 {
  font-size: .666667em;
}

.katex .fontsize-ensurer.reset-size7.size5, .katex .sizing.reset-size7.size5 {
  font-size: .75em;
}

.katex .fontsize-ensurer.reset-size7.size6, .katex .sizing.reset-size7.size6 {
  font-size: .833333em;
}

.katex .fontsize-ensurer.reset-size7.size7, .katex .sizing.reset-size7.size7 {
  font-size: 1em;
}

.katex .fontsize-ensurer.reset-size7.size8, .katex .sizing.reset-size7.size8 {
  font-size: 1.2em;
}

.katex .fontsize-ensurer.reset-size7.size9, .katex .sizing.reset-size7.size9 {
  font-size: 1.44em;
}

.katex .fontsize-ensurer.reset-size7.size10, .katex .sizing.reset-size7.size10 {
  font-size: 1.72833em;
}

.katex .fontsize-ensurer.reset-size7.size11, .katex .sizing.reset-size7.size11 {
  font-size: 2.07333em;
}

.katex .fontsize-ensurer.reset-size8.size1, .katex .sizing.reset-size8.size1 {
  font-size: .347222em;
}

.katex .fontsize-ensurer.reset-size8.size2, .katex .sizing.reset-size8.size2 {
  font-size: .416667em;
}

.katex .fontsize-ensurer.reset-size8.size3, .katex .sizing.reset-size8.size3 {
  font-size: .486111em;
}

.katex .fontsize-ensurer.reset-size8.size4, .katex .sizing.reset-size8.size4 {
  font-size: .555556em;
}

.katex .fontsize-ensurer.reset-size8.size5, .katex .sizing.reset-size8.size5 {
  font-size: .625em;
}

.katex .fontsize-ensurer.reset-size8.size6, .katex .sizing.reset-size8.size6 {
  font-size: .694444em;
}

.katex .fontsize-ensurer.reset-size8.size7, .katex .sizing.reset-size8.size7 {
  font-size: .833333em;
}

.katex .fontsize-ensurer.reset-size8.size8, .katex .sizing.reset-size8.size8 {
  font-size: 1em;
}

.katex .fontsize-ensurer.reset-size8.size9, .katex .sizing.reset-size8.size9 {
  font-size: 1.2em;
}

.katex .fontsize-ensurer.reset-size8.size10, .katex .sizing.reset-size8.size10 {
  font-size: 1.44028em;
}

.katex .fontsize-ensurer.reset-size8.size11, .katex .sizing.reset-size8.size11 {
  font-size: 1.72778em;
}

.katex .fontsize-ensurer.reset-size9.size1, .katex .sizing.reset-size9.size1 {
  font-size: .289352em;
}

.katex .fontsize-ensurer.reset-size9.size2, .katex .sizing.reset-size9.size2 {
  font-size: .347222em;
}

.katex .fontsize-ensurer.reset-size9.size3, .katex .sizing.reset-size9.size3 {
  font-size: .405093em;
}

.katex .fontsize-ensurer.reset-size9.size4, .katex .sizing.reset-size9.size4 {
  font-size: .462963em;
}

.katex .fontsize-ensurer.reset-size9.size5, .katex .sizing.reset-size9.size5 {
  font-size: .520833em;
}

.katex .fontsize-ensurer.reset-size9.size6, .katex .sizing.reset-size9.size6 {
  font-size: .578704em;
}

.katex .fontsize-ensurer.reset-size9.size7, .katex .sizing.reset-size9.size7 {
  font-size: .694444em;
}

.katex .fontsize-ensurer.reset-size9.size8, .katex .sizing.reset-size9.size8 {
  font-size: .833333em;
}

.katex .fontsize-ensurer.reset-size9.size9, .katex .sizing.reset-size9.size9 {
  font-size: 1em;
}

.katex .fontsize-ensurer.reset-size9.size10, .katex .sizing.reset-size9.size10 {
  font-size: 1.20023em;
}

.katex .fontsize-ensurer.reset-size9.size11, .katex .sizing.reset-size9.size11 {
  font-size: 1.43981em;
}

.katex .fontsize-ensurer.reset-size10.size1, .katex .sizing.reset-size10.size1 {
  font-size: .24108em;
}

.katex .fontsize-ensurer.reset-size10.size2, .katex .sizing.reset-size10.size2 {
  font-size: .289296em;
}

.katex .fontsize-ensurer.reset-size10.size3, .katex .sizing.reset-size10.size3 {
  font-size: .337512em;
}

.katex .fontsize-ensurer.reset-size10.size4, .katex .sizing.reset-size10.size4 {
  font-size: .385728em;
}

.katex .fontsize-ensurer.reset-size10.size5, .katex .sizing.reset-size10.size5 {
  font-size: .433944em;
}

.katex .fontsize-ensurer.reset-size10.size6, .katex .sizing.reset-size10.size6 {
  font-size: .48216em;
}

.katex .fontsize-ensurer.reset-size10.size7, .katex .sizing.reset-size10.size7 {
  font-size: .578592em;
}

.katex .fontsize-ensurer.reset-size10.size8, .katex .sizing.reset-size10.size8 {
  font-size: .694311em;
}

.katex .fontsize-ensurer.reset-size10.size9, .katex .sizing.reset-size10.size9 {
  font-size: .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: .200965em;
}

.katex .fontsize-ensurer.reset-size11.size2, .katex .sizing.reset-size11.size2 {
  font-size: .241158em;
}

.katex .fontsize-ensurer.reset-size11.size3, .katex .sizing.reset-size11.size3 {
  font-size: .281351em;
}

.katex .fontsize-ensurer.reset-size11.size4, .katex .sizing.reset-size11.size4 {
  font-size: .321543em;
}

.katex .fontsize-ensurer.reset-size11.size5, .katex .sizing.reset-size11.size5 {
  font-size: .361736em;
}

.katex .fontsize-ensurer.reset-size11.size6, .katex .sizing.reset-size11.size6 {
  font-size: .401929em;
}

.katex .fontsize-ensurer.reset-size11.size7, .katex .sizing.reset-size11.size7 {
  font-size: .482315em;
}

.katex .fontsize-ensurer.reset-size11.size8, .katex .sizing.reset-size11.size8 {
  font-size: .578778em;
}

.katex .fontsize-ensurer.reset-size11.size9, .katex .sizing.reset-size11.size9 {
  font-size: .694534em;
}

.katex .fontsize-ensurer.reset-size11.size10, .katex .sizing.reset-size11.size10 {
  font-size: .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 {
  width: .12em;
  display: inline-block;
}

.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 {
  min-width: 1px;
  display: inline-block;
}

.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: 1px;
  stroke-linecap: butt;
  stroke-linejoin: miter;
  stroke-miterlimit: 4;
  stroke-dasharray: none;
  stroke-dashoffset: 0;
  stroke-opacity: 1;
  height: inherit;
  width: 100%;
  display: block;
  position: absolute;
}

.katex svg path {
  stroke: none;
}

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

.katex .stretchy {
  width: 100%;
  display: block;
  position: relative;
  overflow: hidden;
}

.katex .stretchy:after, .katex .stretchy:before {
  content: "";
}

.katex .hide-tail {
  width: 100%;
  position: relative;
  overflow: hidden;
}

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

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

.katex .brace-left {
  width: 25.1%;
  position: absolute;
  left: 0;
  overflow: hidden;
}

.katex .brace-center {
  width: 50%;
  position: absolute;
  left: 25%;
  overflow: hidden;
}

.katex .brace-right {
  width: 25.1%;
  position: absolute;
  right: 0;
  overflow: hidden;
}

.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 {
  box-sizing: border-box;
  border: .04em solid;
}

.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 {
  box-sizing: border-box;
  border-top: .049em solid;
  border-right: .049em solid;
  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 {
  text-align: left;
  display: inline-block;
  position: absolute;
  right: calc(50% + .3em);
}

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

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

.katex-display > .katex {
  text-align: center;
  white-space: nowrap;
  display: block;
}

.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 {
  text-align: left;
  padding-left: 2em;
}

body {
  counter-reset: katexEqnNo mmlEqnNo;
}

/*# sourceMappingURL=_9673f552._.css.map*/