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cubic-bezier(.16,1,.3,1);display:block}.school-logo-slot-harvard{--school-logo-slot-width:13.5rem;--school-logo-box-height:2.3rem}.school-logo-slot-stanford{--school-logo-slot-width:11.5rem;--school-logo-box-height:2.35rem}.school-logo-slot-mit{--school-logo-slot-width:12.25rem;--school-logo-box-height:3.05rem}.school-logo-slot-princeton{--school-logo-slot-width:11.75rem;--school-logo-box-height:3.35rem}.school-logo-slot-yale{--school-logo-slot-width:7rem;--school-logo-box-height:2.5rem}.school-logo-slot-caltech{--school-logo-slot-width:9.25rem;--school-logo-box-height:2.5rem}.school-logo-slot-columbia{--school-logo-slot-width:13.5rem;--school-logo-box-height:2.55rem}.school-logo-slot-penn{--school-logo-slot-width:12.75rem;--school-logo-box-height:3.55rem}.school-logo-slot-brown{--school-logo-slot-width:7.5rem;--school-logo-box-height:3.6rem}.school-logo-slot-duke{--school-logo-slot-width:7.75rem;--school-logo-box-height:2.65rem}.school-logo-slot-cornell{--school-logo-slot-width:11.75rem;--school-logo-box-height:2.4rem}.school-logo-slot-berkeley{--school-logo-slot-width:10.5rem;--school-logo-box-height:2.6rem}.school-logo-slot-uchicago{--school-logo-slot-width:10.5rem;--school-logo-box-height:3rem}.school-logo-slot-nyu{--school-logo-slot-width:11.75rem;--school-logo-box-height:2.55rem}.school-logo-compact{flex:none;width:2.55rem;height:2.55rem}.school-logo-label{color:#1c262db8;max-width:7.5rem;font-family:Georgia,Times New Roman,serif;font-size:1rem;font-weight:600;line-height:1.05}.school-logo-slot-nyu .school-logo-label{color:#57068c}.school-logo-slot:hover .school-logo{transform:translateY(-1px)}@media (prefers-reduced-motion:reduce){.school-marquee{scrollbar-width:thin;overflow-x:auto;-webkit-mask-image:none;mask-image:none}.school-marquee-track{width:max-content;animation:none}.school-marquee-set{padding-inline:1rem}.school-marquee-set[aria-hidden=true]{display:none}}.chal-rw{background:linear-gradient(135deg, var(--color-chal-rw) 0%, var(--color-chal-rw-2) 100%)}.chal-math{background:linear-gradient(135deg, var(--color-chal-math) 0%, var(--color-chal-math-2) 100%)}html.dark{--color-bg:#10161a;--color-surface:#182126;--color-fg:#e8eef1;--color-muted:#9aa7b0;--color-subtle:#7b8891;--color-border:#2a373e;--color-border-strong:#3a4a52;--color-inverse:#0c4554;--color-primary-soft:#16324f;--color-pro-soft:#3a1630;--color-success-soft:#143226;--color-warning-soft:#3a2414;--color-danger-soft:#3a151c;--color-promo:#14343c;--color-promo-fg:#d4f4fb;--color-tint-blue:#16324f;--color-tint-green:#143226;--color-tint-amber:#3a2414;--color-tint-rose:#3a151c}html.dark body{background:var(--color-bg);color:var(--color-fg)}.nav-bank{background:linear-gradient(90deg,#7dd3e02e,#7dd3e00d);box-shadow:inset 0 0 0 1px #7dd3e033}.nav-bank-active{background:#7dd3e024;box-shadow:inset 0 0 0 1px #7dd3e042}.sidebar-scrollbar{scrollbar-color:#e4eef157 transparent;scrollbar-gutter:stable;scrollbar-width:thin}.sidebar-scrollbar::-webkit-scrollbar{width:8px}.sidebar-scrollbar::-webkit-scrollbar-track{background:0 0}.sidebar-scrollbar::-webkit-scrollbar-thumb{background:#e4eef147 padding-box padding-box;border:2px solid #0000;border-radius:999px}.sidebar-scrollbar::-webkit-scrollbar-thumb:hover{background:#e4eef17a padding-box padding-box}[data-sidebar-compact=true] .sidebar-wordmark>span,[data-sidebar-compact=true] .sidebar-label,[data-sidebar-compact=true] .sidebar-badge,[data-sidebar-compact=true] .sidebar-heading,[data-sidebar-compact=true] .sidebar-exams{display:none}[data-sidebar-compact=true] .sidebar-link{justify-content:center;gap:0;padding-inline:0}@keyframes taro-dot{0%,80%,to{opacity:.25;transform:translateY(0)}40%{opacity:1;transform:translateY(-2px)}}.typing-dot{animation:1s ease-in-out infinite taro-dot}.typing-dot:nth-child(2){animation-delay:.15s}.typing-dot:nth-child(3){animation-delay:.3s}@keyframes taro-thinking-shift{0%{opacity:.25;filter:blur(1.5px);transform:translateY(2px)}to{opacity:1;filter:blur();transform:translateY(0)}}.schools-hero-orbit{pointer-events:none;border:1px solid #0c59651a;border-radius:999px;position:absolute}.schools-hero-orbit-a{width:42rem;height:42rem;top:-17rem;right:-10rem}.schools-hero-orbit-b{width:38rem;height:38rem;bottom:-23rem;left:-18rem}.schools-flow-line{z-index:0;background:#dce8ea;width:2px;position:absolute;top:1rem;bottom:1rem;left:1.75rem;overflow:hidden}.schools-flow-line>span{background:linear-gradient(#0000,#0c7a86 28% 72%,#0000);width:100%;height:32%;animation:5.8s cubic-bezier(.65,0,.35,1) infinite schools-flow-scan;display:block}.schools-progress-fill{transform-origin:0;animation:5.8s cubic-bezier(.16,1,.3,1) infinite schools-progress-breathe}.schools-dark-signal{border:1px solid #8ed9dd24;border-radius:999px;width:44rem;height:44rem;position:absolute;top:-20rem;right:-11rem;box-shadow:0 0 0 7rem #4a969e08}.schools-system-track{z-index:0;background:#315863;height:2px;display:none;position:absolute;top:2.5rem;left:6%;right:6%;overflow:hidden}.schools-system-track>span{background:linear-gradient(90deg,#0000,#8ed9dd 32% 68%,#0000);width:18%;height:100%;animation:7.2s cubic-bezier(.65,0,.35,1) infinite schools-system-scan;display:block}@media (width>=768px){.schools-system-track{display:block}}@keyframes schools-flow-scan{0%,8%{opacity:0;transform:translateY(-110%)}20%{opacity:1}78%{opacity:1}94%,to{opacity:0;transform:translateY(320%)}}@keyframes schools-system-scan{0%,10%{opacity:0;transform:translate(-120%)}22%{opacity:1}76%{opacity:1}92%,to{opacity:0;transform:translate(560%)}}@keyframes schools-progress-breathe{0%,16%{transform:scaleX(.82)}58%,to{transform:scaleX(1)}}@media (prefers-reduced-motion:reduce){.schools-flow-line>span,.schools-system-track>span,.schools-progress-fill{animation:none}}.taro-thinking-label{animation:.26s cubic-bezier(.16,1,.3,1) taro-thinking-shift}html[data-font=sm]{font-size:15px}html[data-font=lg]{font-size:18px}html[data-contrast=high]{--color-muted:#3a424a;--color-border:#c5cbd3}html.dark .chat-md code{background:#ffffff14}.chat-md strong{font-weight:600}html[data-motion=reduce] *,html[data-motion=reduce] :before,html[data-motion=reduce] :after{transition-duration:.01ms!important;animation-duration:.01ms!important;animation-iteration-count:1!important}@property --tw-translate-x{syntax:"*";inherits:false;initial-value:0}@property --tw-translate-y{syntax:"*";inherits:false;initial-value:0}@property --tw-translate-z{syntax:"*";inherits:false;initial-value:0}@property --tw-rotate-x{syntax:"*";inherits:false}@property --tw-rotate-y{syntax:"*";inherits:false}@property --tw-rotate-z{syntax:"*";inherits:false}@property --tw-skew-x{syntax:"*";inherits:false}@property --tw-skew-y{syntax:"*";inherits:false}@property --tw-space-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-space-x-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-divide-x-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-border-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-divide-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-gradient-position{syntax:"*";inherits:false}@property --tw-gradient-from{syntax:"<color>";inherits:false;initial-value:#0000}@property --tw-gradient-via{syntax:"<color>";inherits:false;initial-value:#0000}@property --tw-gradient-to{syntax:"<color>";inherits:false;initial-value:#0000}@property --tw-gradient-stops{syntax:"*";inherits:false}@property --tw-gradient-via-stops{syntax:"*";inherits:false}@property --tw-gradient-from-position{syntax:"<length-percentage>";inherits:false;initial-value:0%}@property --tw-gradient-via-position{syntax:"<length-percentage>";inherits:false;initial-value:50%}@property --tw-gradient-to-position{syntax:"<length-percentage>";inherits:false;initial-value:100%}@property --tw-leading{syntax:"*";inherits:false}@property --tw-font-weight{syntax:"*";inherits:false}@property --tw-tracking{syntax:"*";inherits:false}@property --tw-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-shadow-color{syntax:"*";inherits:false}@property --tw-shadow-alpha{syntax:"<percentage>";inherits:false;initial-value:100%}@property --tw-inset-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-inset-shadow-color{syntax:"*";inherits:false}@property --tw-inset-shadow-alpha{syntax:"<percentage>";inherits:false;initial-value:100%}@property --tw-ring-color{syntax:"*";inherits:false}@property --tw-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-inset-ring-color{syntax:"*";inherits:false}@property --tw-inset-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-ring-inset{syntax:"*";inherits:false}@property --tw-ring-offset-width{syntax:"<length>";inherits:false;initial-value:0}@property --tw-ring-offset-color{syntax:"*";inherits:false;initial-value:#fff}@property --tw-ring-offset-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-outline-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-blur{syntax:"*";inherits:false}@property --tw-brightness{syntax:"*";inherits:false}@property --tw-contrast{syntax:"*";inherits:false}@property --tw-grayscale{syntax:"*";inherits:false}@property --tw-hue-rotate{syntax:"*";inherits:false}@property --tw-invert{syntax:"*";inherits:false}@property --tw-opacity{syntax:"*";inherits:false}@property --tw-saturate{syntax:"*";inherits:false}@property --tw-sepia{syntax:"*";inherits:false}@property --tw-drop-shadow{syntax:"*";inherits:false}@property --tw-drop-shadow-color{syntax:"*";inherits:false}@property --tw-drop-shadow-alpha{syntax:"<percentage>";inherits:false;initial-value:100%}@property --tw-drop-shadow-size{syntax:"*";inherits:false}@property --tw-backdrop-blur{syntax:"*";inherits:false}@property --tw-backdrop-brightness{syntax:"*";inherits:false}@property --tw-backdrop-contrast{syntax:"*";inherits:false}@property --tw-backdrop-grayscale{syntax:"*";inherits:false}@property --tw-backdrop-hue-rotate{syntax:"*";inherits:false}@property --tw-backdrop-invert{syntax:"*";inherits:false}@property --tw-backdrop-opacity{syntax:"*";inherits:false}@property --tw-backdrop-saturate{syntax:"*";inherits:false}@property --tw-backdrop-sepia{syntax:"*";inherits:false}@property --tw-duration{syntax:"*";inherits:false}@property --tw-ease{syntax:"*";inherits:false}@property --tw-scale-x{syntax:"*";inherits:false;initial-value:1}@property --tw-scale-y{syntax:"*";inherits:false;initial-value:1}@property --tw-scale-z{syntax:"*";inherits:false;initial-value:1}@property --tw-content{syntax:"*";inherits:false;initial-value:""}@keyframes spin{to{transform:rotate(360deg)}}@keyframes ping{75%,to{opacity:0;transform:scale(2)}}@keyframes pulse{50%{opacity:.5}}@keyframes enter{0%{opacity:var(--tw-enter-opacity,1);transform:translate3d(var(--tw-enter-translate-x,0),var(--tw-enter-translate-y,0),0)scale3d(var(--tw-enter-scale,1),var(--tw-enter-scale,1),var(--tw-enter-scale,1))rotate(var(--tw-enter-rotate,0));filter:blur(var(--tw-enter-blur,0))}}@keyframes exit{to{opacity:var(--tw-exit-opacity,1);transform:translate3d(var(--tw-exit-translate-x,0),var(--tw-exit-translate-y,0),0)scale3d(var(--tw-exit-scale,1),var(--tw-exit-scale,1),var(--tw-exit-scale,1))rotate(var(--tw-exit-rotate,0));filter:blur(var(--tw-exit-blur,0))}}