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*)[aria-invalid=true]{--tw-ring-color:var(--destructive)}@supports (color:color-mix(in lab, red, red)){.dark\:aria-invalid\:ring-destructive\/40:is(.dark *)[aria-invalid=true]{--tw-ring-color:color-mix(in oklab, var(--destructive) 40%, transparent)}}.\[\&_\.cta-arrow\]\:transition-transform .cta-arrow{transition-property:transform,translate,scale,rotate;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function));transition-duration:var(--tw-duration,var(--default-transition-duration))}.\[\&_\.cta-arrow\]\:duration-300 .cta-arrow{--tw-duration:.3s;transition-duration:.3s}@media (hover:hover){.hover\:\[\&_\.cta-arrow\]\:translate-x-0\.5:hover .cta-arrow{--tw-translate-x:calc(var(--spacing) * .5);translate:var(--tw-translate-x) var(--tw-translate-y)}}.\[\&_\.katex-display\]\:my-0 .katex-display{margin-block:calc(var(--spacing) * 0)}.\[\&_\.katex-display\]\:block .katex-display{display:block}.\[\&_\.katex-display\]\:w-full .katex-display{width:100%}.\[\&_\.katex-display\]\:py-0 .katex-display{padding-block:calc(var(--spacing) * 0)}.\[\&_\.katex-display\]\:text-center .katex-display{text-align:center}.\[\&_\.math-display\]\:my-8 .math-display{margin-block:calc(var(--spacing) * 8)}.\[\&_\.math-display\]\:block .math-display{display:block}.\[\&_\.math-display\]\:w-full .math-display{width:100%}.\[\&_\.math-display\]\:overflow-x-auto .math-display{overflow-x:auto}.\[\&_\.math-display\]\:py-3 .math-display{padding-block:calc(var(--spacing) * 3)}.\[\&_\.math-display\]\:text-center .math-display{text-align:center}.\[\&_li\]\:list-none li{list-style-type:none}.\[\&_p\]\:m-0 p{margin:calc(var(--spacing) * 0)}.\[\&_p\]\:\!my-0 p{margin-block:calc(var(--spacing) * 0)!important}.\[\&_p\]\:\!my-1 p{margin-block:calc(var(--spacing) * 1)!important}.\[\&_p\]\:my-3 p{margin-block:calc(var(--spacing) * 3)}.\[\&_p\]\:leading-relaxed p{--tw-leading:var(--leading-relaxed);line-height:var(--leading-relaxed)}.\[\&_p\]\:last\:mb-0 p:last-child{margin-bottom:calc(var(--spacing) * 0)}.\[\&_p\+p\]\:mt-3 p+p{margin-top:calc(var(--spacing) * 3)}:where(.\[\&_ul\]\:space-y-2 ul>:not(:last-child)){--tw-space-y-reverse:0;margin-block-start:calc(calc(var(--spacing) * 2) * var(--tw-space-y-reverse));margin-block-end:calc(calc(var(--spacing) * 2) * calc(1 - var(--tw-space-y-reverse)))}.\[\&_ul\]\:pl-0 ul{padding-left:calc(var(--spacing) * 0)}}@property --tw-animation-delay{syntax:"*";inherits:false;initial-value:0s}@property --tw-animation-direction{syntax:"*";inherits:false;initial-value:normal}@property --tw-animation-duration{syntax:"*";inherits:false}@property --tw-animation-fill-mode{syntax:"*";inherits:false;initial-value:forwards}@property --tw-animation-iteration-count{syntax:"*";inherits:false;initial-value:1}@property --tw-enter-opacity{syntax:"*";inherits:false;initial-value:1}@property --tw-enter-rotate{syntax:"*";inherits:false;initial-value:0}@property --tw-enter-scale{syntax:"*";inherits:false;initial-value:1}@property --tw-enter-translate-x{syntax:"*";inherits:false;initial-value:0}@property --tw-enter-translate-y{syntax:"*";inherits:false;initial-value:0}@property --tw-exit-opacity{syntax:"*";inherits:false;initial-value:1}@property --tw-exit-rotate{syntax:"*";inherits:false;initial-value:0}@property --tw-exit-scale{syntax:"*";inherits:false;initial-value:1}@property --tw-exit-translate-x{syntax:"*";inherits:false;initial-value:0}@property --tw-exit-translate-y{syntax:"*";inherits:false;initial-value:0}:root{--background:#f7f5ef;--foreground:#0d1321;--card:#fdfcf8;--card-foreground:#0d1321;--popover:#fdfcf8;--popover-foreground:#0d1321;--primary:#0d1321;--primary-foreground:#fff;--secondary:transparent;--secondary-foreground:#1d2d44;--muted:#1d2d440d;--muted-foreground:#1d2d44;--accent:#6f86a8;--accent-foreground:#fff;--brand-red:#880d1e;--brand-red-foreground:#fff;--destructive:#ef4444;--destructive-foreground:#fff;--border:#0d132114;--input:#0d13211f;--ring:#6f86a8;--chart-1:#0d1321;--chart-2:#1d2d44;--chart-3:#6f86a8;--chart-4:#fca311;--chart-5:#e2e8f0;--radius:.75rem;--sidebar:#f7f5ef;--sidebar-foreground:#0d1321;--sidebar-primary:#0d1321;--sidebar-primary-foreground:#fff;--sidebar-accent:#1d2d440d;--sidebar-accent-foreground:#0d1321;--sidebar-border:#0d132114;--sidebar-ring:#6f86a8}.bg-grid-faint{background-image:linear-gradient(90deg,#0d132108 1px,#0000 1px),linear-gradient(#0d132108 1px,#0000 1px);background-size:56px 56px}.katex{font-size:1em!important}.math-display,.katex-display{text-align:center!important;width:100%!important;margin:2.25rem 0!important;padding:.25rem 0!important;display:block!important}.solution-prose>*+*{margin-top:.85em}.solution-prose ul{padding-left:1.25rem;list-style:outside}.solution-prose ul>li+li{margin-top:.35em}.solution-prose strong{color:var(--foreground);font-weight:600}.solution-prose .takeaway{border-left:2px solid var(--brand-red);color:var(--foreground);padding-left:.85rem}.takeaway-custom-title>p:first-child>strong:first-child{display:none}.pullquote-text>p{font:inherit;color:inherit;letter-spacing:inherit;margin:0}.article-body{counter-reset:chapter}.article-body h2.article-h2{counter-increment:chapter}.article-body h2.article-h2:before{content:counter(chapter, decimal-leading-zero);font-family:var(--font-mono);font-size:var(--text-eyebrow);letter-spacing:.12em;color:var(--brand-red);margin-bottom:.4rem;font-weight:600;display:block}@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-divide-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-border-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-leading{syntax:"*";inherits:false}@property --tw-font-weight{syntax:"*";inherits:false}@property --tw-tracking{syntax:"*";inherits:false}@property --tw-ordinal{syntax:"*";inherits:false}@property --tw-slashed-zero{syntax:"*";inherits:false}@property --tw-numeric-figure{syntax:"*";inherits:false}@property --tw-numeric-spacing{syntax:"*";inherits:false}@property --tw-numeric-fraction{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-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}@keyframes spin{to{transform:rotate(360deg)}}@keyframes ping{75%,to{opacity:0;transform:scale(2)}}@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))}}@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))}}