:root{--twoslash-border-color:#8888;--twoslash-underline-color:currentColor;--twoslash-highlighted-border:#c37d0d50;--twoslash-highlighted-bg:#c37d0d20;--twoslash-popup-bg:#f8f8f8;--twoslash-popup-color:inherit;--twoslash-popup-shadow:#00000014 0px 1px 4px;--twoslash-docs-color:#888;--twoslash-docs-font:sans-serif;--twoslash-code-font:inherit;--twoslash-code-font-size:1em;--twoslash-matched-color:inherit;--twoslash-unmatched-color:#888;--twoslash-cursor-color:#8888;--twoslash-error-color:#d45656;--twoslash-error-bg:#d4565620;--twoslash-warn-color:#c37d0d;--twoslash-warn-bg:#c37d0d20;--twoslash-tag-color:#3772cf;--twoslash-tag-bg:#3772cf20;--twoslash-tag-warn-color:var(--twoslash-warn-color);--twoslash-tag-warn-bg:var(--twoslash-warn-bg);--twoslash-tag-annotate-color:#1ba673;--twoslash-tag-annotate-bg:#1ba67320}@media (prefers-reduced-motion:reduce){.twoslash *{transition:none!important}}.twoslash:hover .twoslash-hover{border-color:var(--twoslash-underline-color)}.twoslash .twoslash-hover{border-bottom:1px dotted #0000;transition:border-color .3s;position:relative}.twoslash .twoslash-popup-container{opacity:0;background:var(--twoslash-popup-bg);color:var(--twoslash-popup-color);border:1px solid var(--twoslash-border-color);pointer-events:none;z-index:10;-webkit-user-select:none;user-select:none;text-align:left;box-shadow:var(--twoslash-popup-shadow);border-radius:4px;flex-direction:column;transition:opacity .3s;display:inline-flex;position:absolute;transform:translateY(1.1em)}.twoslash .twoslash-query-persisted .twoslash-popup-container{z-index:9;transform:translateY(1.5em)}.twoslash .twoslash-hover:hover .twoslash-popup-container,.twoslash .twoslash-error-hover:hover .twoslash-popup-container,.twoslash .twoslash-query-persisted .twoslash-popup-container,.twoslash .twoslash-query-line .twoslash-popup-container{opacity:1;pointer-events:auto}.twoslash .twoslash-popup-container:hover{-webkit-user-select:auto;user-select:auto}.twoslash .twoslash-popup-arrow{border-top:1px solid var(--twoslash-border-color);border-right:1px solid var(--twoslash-border-color);background:var(--twoslash-popup-bg);pointer-events:none;width:6px;height:6px;position:absolute;top:-4px;left:1em;transform:rotate(-45deg)}.twoslash .twoslash-popup-code,.twoslash .twoslash-popup-error,.twoslash .twoslash-popup-docs{padding:6px 8px!important}.twoslash .twoslash-popup-code{font-family:var(--twoslash-code-font);font-size:var(--twoslash-code-font-size)}.twoslash .twoslash-popup-docs{color:var(--twoslash-docs-color);font-family:var(--twoslash-docs-font);border-top:1px solid var(--twoslash-border-color);font-size:.8em}.twoslash .twoslash-popup-error{color:var(--twoslash-error-color);background-color:var(--twoslash-error-bg);font-family:var(--twoslash-docs-font);font-size:.8em}.twoslash .twoslash-popup-docs-tags{font-family:var(--twoslash-docs-font);flex-direction:column;display:flex}.twoslash .twoslash-popup-docs-tags,.twoslash .twoslash-popup-docs-tag-name{margin-right:.5em}.twoslash .twoslash-popup-docs-tag-name{font-family:var(--twoslash-code-font)}.twoslash .twoslash-query-line .twoslash-popup-container{margin-bottom:1.4em;position:relative;transform:translateY(.6em)}.twoslash .twoslash-error-line{background-color:var(--twoslash-error-bg);border-left:3px solid var(--twoslash-error-color);color:var(--twoslash-error-color);width:max-content;min-width:100%;margin:.2em 0;padding:6px 12px;position:relative}.twoslash .twoslash-error-line.twoslash-error-level-warning{background-color:var(--twoslash-warn-bg);border-left:3px solid var(--twoslash-warn-color);color:var(--twoslash-warn-color)}.twoslash .twoslash-error{background:url("data:image/svg+xml,%3Csvg%20xmlns%3D'http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg'%20viewBox%3D'0%200%206%203'%20enable-background%3D'new%200%200%206%203'%20height%3D'3'%20width%3D'6'%3E%3Cg%20fill%3D'%23c94824'%3E%3Cpolygon%20points%3D'5.5%2C0%202.5%2C3%201.1%2C3%204.1%2C0'%2F%3E%3Cpolygon%20points%3D'4%2C0%206%2C2%206%2C0.6%205.4%2C0'%2F%3E%3Cpolygon%20points%3D'0%2C2%201%2C3%202.4%2C3%200%2C0.6'%2F%3E%3C%2Fg%3E%3C%2Fsvg%3E") 0 100% repeat-x;padding-bottom:2px}.twoslash .twoslash-error.twoslash-error-level-warning{background:url("data:image/svg+xml,%3Csvg%20xmlns%3D'http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg'%20viewBox%3D'0%200%206%203'%20enable-background%3D'new%200%200%206%203'%20height%3D'3'%20width%3D'6'%3E%3Cg%20fill%3D'%23c37d0d'%3E%3Cpolygon%20points%3D'5.5%2C0%202.5%2C3%201.1%2C3%204.1%2C0'%2F%3E%3Cpolygon%20points%3D'4%2C0%206%2C2%206%2C0.6%205.4%2C0'%2F%3E%3Cpolygon%20points%3D'0%2C2%201%2C3%202.4%2C3%200%2C0.6'%2F%3E%3C%2Fg%3E%3C%2Fsvg%3E") 0 100% repeat-x;padding-bottom:2px}.twoslash .twoslash-completion-cursor{position:relative}.twoslash .twoslash-completion-cursor .twoslash-completion-list{-webkit-user-select:none;user-select:none;z-index:8;box-shadow:var(--twoslash-popup-shadow);background:var(--twoslash-popup-bg);border:1px solid var(--twoslash-border-color);margin:3px 0 0 -1px;display:inline-block;position:absolute;top:0;left:0;transform:translateY(1.2em)}.twoslash-completion-list{flex-direction:column;gap:4px;width:240px;padding:4px;font-size:.8rem;display:flex}.twoslash-completion-list:hover{-webkit-user-select:auto;user-select:auto}.twoslash-completion-list:before{background-color:var(--twoslash-cursor-color);content:" ";width:2px;height:1.4em;position:absolute;top:-1.6em;left:-1px}.twoslash-completion-list li{align-items:center;gap:.25em;line-height:1em;display:flex;overflow:hidden}.twoslash-completion-list li span.twoslash-completions-unmatched{color:var(--twoslash-unmatched-color)}.twoslash-completion-list .deprecated{opacity:.5;text-decoration:line-through}.twoslash-completion-list li span.twoslash-completions-matched{color:var(--twoslash-matched-color)}.twoslash-highlighted{background-color:var(--twoslash-highlighted-bg);border:1px solid var(--twoslash-highlighted-border);border-radius:4px;margin:-1px -3px;padding:1px 2px}.twoslash-completion-list .twoslash-completions-icon{color:var(--twoslash-unmatched-color);flex:none;width:1em}.twoslash .twoslash-tag-line{background-color:var(--twoslash-tag-bg);border-left:3px solid var(--twoslash-tag-color);color:var(--twoslash-tag-color);align-items:center;gap:.3em;width:max-content;min-width:100%;margin:.2em 0;padding:6px 10px;display:flex;position:relative}.twoslash .twoslash-tag-line .twoslash-tag-icon{width:1.1em;color:inherit}.twoslash .twoslash-tag-line.twoslash-tag-error-line{background-color:var(--twoslash-error-bg);border-left:3px solid var(--twoslash-error-color);color:var(--twoslash-error-color)}.twoslash .twoslash-tag-line.twoslash-tag-warn-line{background-color:var(--twoslash-tag-warn-bg);border-left:3px solid var(--twoslash-tag-warn-color);color:var(--twoslash-tag-warn-color)}.twoslash .twoslash-tag-line.twoslash-tag-annotate-line{background-color:var(--twoslash-tag-annotate-bg);border-left:3px solid var(--twoslash-tag-annotate-color);color:var(--twoslash-tag-annotate-color)}@layer properties{@supports (((-webkit-hyphens:none)) and (not (margin-trim:inline))) or ((-moz-orient:inline) and (not (color:rgb(from red r g b)))){*,:before,:after,::backdrop{--tw-ease:initial;--tw-translate-x:0;--tw-translate-y:0;--tw-translate-z:0;--tw-border-style:solid;--tw-font-weight:initial;--tw-shadow:0 0 #0000;--tw-shadow-color:initial;--tw-shadow-alpha:100%;--tw-inset-shadow:0 0 #0000;--tw-inset-shadow-color:initial;--tw-inset-shadow-alpha:100%;--tw-ring-color:initial;--tw-ring-shadow:0 0 #0000;--tw-inset-ring-color:initial;--tw-inset-ring-shadow:0 0 #0000;--tw-ring-inset:initial;--tw-ring-offset-width:0px;--tw-ring-offset-color:#fff;--tw-ring-offset-shadow:0 0 #0000;--tw-outline-style:solid;--tw-leading:initial;--tw-content:""}}}.mdx-content :not(.code-container)>code{border-radius:var(--radius-md,.375rem);background-color:#0000001a}@supports (color:color-mix(in lab, red, red)){.mdx-content :not(.code-container)>code{background-color:color-mix(in oklab, var(--color-black,#000) 10%, transparent)}}.mdx-content :not(.code-container)>code{font-family:var(--font-fira-code,"Fira Code", monospace);padding-block:.2em;padding-inline:.4em;font-size:85%}.mdx-content :not(.code-container)>code:where(.dark,.dark *){background-color:#fff3}@supports (color:color-mix(in lab, red, red)){.mdx-content :not(.code-container)>code:where(.dark,.dark *){background-color:color-mix(in oklab, var(--color-white,#fff) 20%, transparent)}}.mdx-content :not(.code-container)>a code:where(.dark,.dark *){color:#86efaccc}@supports (color:color-mix(in lab, red, red)){.mdx-content :not(.code-container)>a code:where(.dark,.dark *){color:color-mix(in oklab, var(--color-green-300,#86efac) 80%, transparent)}}.mdx-content blockquote pre:where(.dark,.dark *){background-color:#ffffff08}@supports (color:color-mix(in lab, red, red)){.mdx-content blockquote pre:where(.dark,.dark *){background-color:color-mix(in oklab, var(--color-white,#fff) 3%, transparent)}}@media (width>=45rem){.mdx-content pre{border-radius:.5rem}}.mdx-content pre{margin-inline:calc(var(--spacing,.25rem) * -4);background-color:var(--color-neutral-800,#262626);padding-inline:calc(var(--spacing,.25rem) * 4);padding-block:calc(var(--spacing,.25rem) * 6);font-family:var(--font-fira-code,"Fira Code", monospace);color:var(--color-subtle-white,#ffffffd1);margin-block:1.25em;display:flex;overflow-x:auto}.mdx-content pre .code-container{flex-grow:1}.mdx-content pre code{font-family:var(--font-fira-code,"Fira Code", monospace);white-space:pre;font-size:.95rem}.mdx-content pre .code-container>code>.line{min-height:1rem;display:block}.mdx-content pre .code-container>a{opacity:0;transition-property:opacity;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function,cubic-bezier(.4, 0, .2, 1)));transition-duration:var(--tw-duration,var(--default-transition-duration,.15s));--tw-ease:var(--ease-out,cubic-bezier(0, 0, .2, 1));transition-timing-function:var(--ease-out,cubic-bezier(0, 0, .2, 1));--tw-translate-x:-.625rem;--tw-translate-y:.625rem;translate:var(--tw-translate-x) var(--tw-translate-y);-webkit-user-select:none;user-select:none;scroll-margin-top:7rem;scroll-margin-bottom:calc(var(--spacing,.25rem) * 8);font-size:1rem;position:absolute}@media (width>=40rem){.mdx-content pre .code-container>a{scroll-margin-top:13.25rem}}.mdx-content pre .code-container>a{border-radius:var(--radius-sm,.25rem);border-style:var(--tw-border-style);border-width:2px;border-color:var(--color-blue-500,#3b82f6);background-color:var(--color-white,#fff);--tw-font-weight:var(--font-weight-bold,700);font-weight:var(--font-weight-bold,700);color:var(--color-blue-500,#3b82f6);--tw-shadow:0 1px 3px 0 var(--tw-shadow-color,#0000001a), 0 1px 2px -1px var(--tw-shadow-color,#0000001a);box-shadow:var(--tw-inset-shadow), var(--tw-inset-ring-shadow), var(--tw-ring-offset-shadow), var(--tw-ring-shadow), var(--tw-shadow);padding-inline:.375rem}.mdx-content pre .code-container>a:is(:hover,:focus-visible){z-index:10;background-color:var(--color-blue-500,#3b82f6);color:var(--color-white,#fff);opacity:1;outline-color:var(--color-white,#fff);text-decoration-line:none}.mdx-content pre:hover .code-container>a{opacity:1}.mdx-content pre:not(.twoslash) .code-container:not(:first-child){padding-top:calc(var(--spacing,.25rem) * 5)}.mdx-content pre .language-id{color:#fff6;display:none}@supports (color:color-mix(in lab, red, red)){.mdx-content pre .language-id{color:color-mix(in oklab, var(--color-white,#fff) 40%, transparent)}}.mdx-content pre .language-id{transition-property:color,background-color,border-color,outline-color,text-decoration-color,fill,stroke,--tw-gradient-from,--tw-gradient-via,--tw-gradient-to;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function,cubic-bezier(.4, 0, .2, 1)));transition-duration:var(--tw-duration,var(--default-transition-duration,.15s));--tw-ease:var(--ease-out,cubic-bezier(0, 0, .2, 1));transition-timing-function:var(--ease-out,cubic-bezier(0, 0, .2, 1))}.mdx-content pre:is(:hover,:focus-within) .language-id{color:#fff9}@supports (color:color-mix(in lab, red, red)){.mdx-content pre:is(:hover,:focus-within) .language-id{color:color-mix(in oklab, var(--color-white,#fff) 60%, transparent)}}.mdx-content pre:not(.twoslash) .language-id{--tw-translate-x:0px;--tw-translate-y:calc(var(--spacing,.25rem) * -3);translate:var(--tw-translate-x) var(--tw-translate-y);-webkit-user-select:none;user-select:none;font-size:.8rem;display:block;position:absolute}.mdx-content pre .dim{opacity:.5;transition-property:opacity;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function,cubic-bezier(.4, 0, .2, 1)));transition-duration:var(--tw-duration,var(--default-transition-duration,.15s));--tw-ease:var(--ease-out,cubic-bezier(0, 0, .2, 1));transition-timing-function:var(--ease-out,cubic-bezier(0, 0, .2, 1));margin:0;padding:0}.mdx-content pre:hover .dim{opacity:1}.mdx-content pre .highlight{margin-inline:calc(var(--spacing,.25rem) * -4);background-color:#ffffff1a}@supports (color:color-mix(in lab, red, red)){.mdx-content pre .highlight{background-color:color-mix(in oklab, var(--color-white,#fff) 10%, transparent)}}.mdx-content pre .highlight{padding-inline:calc(var(--spacing,.25rem) * 4);opacity:1}.mdx-content .twoslash{--twoslash-popup-bg:#262626;--twoslash-popup-color:#f5f5f5;--twoslash-docs-color:#d4d4d4;--twoslash-border-color:#737373;--twoslash-error-color:#fca5a5;--twoslash-code-font-size:.875rem}.mdx-content .twoslash-hover{anchor-name:--twoslash-token;anchor-scope:--twoslash-token}.mdx-content .twoslash-hover>.twoslash-popup-container:not([popover]){visibility:hidden;max-height:calc(100dvh - 24px);margin:0;position:fixed;inset:auto auto 12px 12px;overflow:auto;transform:none}.mdx-content .twoslash-hover:is(:hover,:focus-within)>.twoslash-popup-container:not([popover]){opacity:1;visibility:visible;pointer-events:auto;-webkit-user-select:text;user-select:text}@supports (anchor-scope:--twoslash-token) and (top:anchor(bottom)){.mdx-content .twoslash-hover>.twoslash-popup-container:not([popover]){position-anchor:--twoslash-token;position-area:bottom span-right;position-try-fallbacks:flip-block, flip-inline, flip-block flip-inline;position-try-order:most-height;place-self:start;max-width:min(32rem,100% - 24px);max-height:calc(100% - 12px);margin-top:0;inset:auto}}.mdx-content .twoslash-popup-container[popover]:not(:popover-open){display:none}.mdx-content .twoslash-popup-container[popover]:popover-open{opacity:1;pointer-events:auto;-webkit-user-select:text;user-select:text;max-height:calc(100dvh - 24px);margin:0;position:fixed;inset:auto;overflow:auto;transform:none}.mdx-content .twoslash-popup-container{width:max-content;max-width:min(32rem,100vw - 3rem)}.mdx-content .twoslash-popup-container code{white-space:pre-wrap;overflow-wrap:anywhere;background-color:#0000;border-radius:0;padding-block:0;padding-inline:0}.mdx-content .twoslash-popup-container pre{white-space:pre-wrap;background-color:#0000;border-radius:0;margin:0;padding:0;display:block;overflow:visible}.mdx-content .twoslash-popup-docs{white-space:normal;max-width:32rem}.mdx-content .twoslash-popup-docs :is(p,ul,ol){margin-block:calc(var(--spacing,.25rem) * 2)}.mdx-content .twoslash-popup-docs>:first-child{margin-top:0}.mdx-content .twoslash-popup-docs>:last-child{margin-bottom:0}.mdx-content .twoslash-completion-list{padding:var(--spacing,.25rem);margin:0;list-style-type:none}.mdx-content .twoslash-completion-list li{margin-block:0}.mdx-content .twoslash-completion-cursor{vertical-align:top;width:0;display:inline-block}.mdx-content .twoslash-completion-cursor .twoslash-completion-list{max-height:9rem;margin:1.2em 0 0 -1px;position:relative;overflow:auto;transform:none}@supports (anchor-scope:--twoslash-completion) and (top:anchor(bottom)){.mdx-content{position:relative}.mdx-content .twoslash-completion-cursor{anchor-name:--twoslash-completion;anchor-scope:--twoslash-completion;display:inline;position:static}.mdx-content .twoslash-completion-cursor .twoslash-completion-list{position-anchor:--twoslash-completion;position-area:bottom span-right;place-self:start;max-width:min(240px,100% - 12px);margin-top:3px;position:absolute;inset:auto}}.mdx-content pre .line:is(.highlighted,.diff){margin-inline:calc(var(--spacing,.25rem) * -4);padding-inline:calc(var(--spacing,.25rem) * 4)}.mdx-content pre .line.highlighted{background-color:#ffffff1a}@supports (color:color-mix(in lab, red, red)){.mdx-content pre .line.highlighted{background-color:color-mix(in oklab, var(--color-white,#fff) 10%, transparent)}}.mdx-content pre .line.diff.add{background-color:#22c55e26}@supports (color:color-mix(in lab, red, red)){.mdx-content pre .line.diff.add{background-color:color-mix(in oklab, var(--color-green-500,#22c55e) 15%, transparent)}}.mdx-content pre .line.diff.remove{background-color:#ef444426}@supports (color:color-mix(in lab, red, red)){.mdx-content pre .line.diff.remove{background-color:color-mix(in oklab, var(--color-red-500,#ef4444) 15%, transparent)}}.mdx-content pre .line.diff:before{--tw-translate-x:calc(var(--spacing,.25rem) * -3);translate:var(--tw-translate-x) var(--tw-translate-y);position:absolute}.mdx-content pre .line.diff.add:before{content:"+";color:var(--color-green-300,#86efac)}.mdx-content pre .line.diff.remove:before{content:"−";color:var(--color-red-300,#fca5a5)}.mdx-content pre .highlighted-word{border-radius:var(--radius-sm,.25rem);background-color:#ffffff26}@supports (color:color-mix(in lab, red, red)){.mdx-content pre .highlighted-word{background-color:color-mix(in oklab, var(--color-white,#fff) 15%, transparent)}}.mdx-content pre .highlighted-word{outline-style:var(--tw-outline-style);outline-width:1px;outline-color:#ffffff4d}@supports (color:color-mix(in lab, red, red)){.mdx-content pre .highlighted-word{outline-color:color-mix(in oklab, var(--color-white,#fff) 30%, transparent)}}.mdx-content pre.has-focused .line:not(.focused){opacity:.5}.mdx-content pre.has-focused:is(:hover,:focus-within) .line{opacity:1}.mdx-content{overflow-wrap:break-word;font-size:1rem}.mdx-content p{margin-block:1.25em}.mdx-content h1{--tw-leading:1.1;--tw-font-weight:var(--font-weight-bold,700);font-size:2.25rem;line-height:1.1;font-weight:var(--font-weight-bold,700);margin-top:1.5em;margin-bottom:1em}.mdx-content h2{--tw-leading:1.3;--tw-font-weight:var(--font-weight-bold,700);font-size:1.5rem;line-height:1.3;font-weight:var(--font-weight-bold,700);margin-top:2em;margin-bottom:1em}.mdx-content h3{font-size:1.25rem}.mdx-content :is(h3,h4,h5,h6){--tw-leading:1.6;--tw-font-weight:var(--font-weight-semibold,600);line-height:1.6;font-weight:var(--font-weight-semibold,600);margin-top:1.6em;margin-bottom:.6em}.mdx-content :is(h4,h5,h6){font-size:1rem}.mdx-content :is(h1,h2,h3,h4,h5,h6){scroll-margin-top:7rem;scroll-margin-bottom:calc(var(--spacing,.25rem) * 8);position:relative}@media (width>=40rem){.mdx-content :is(h1,h2,h3,h4,h5,h6){scroll-margin-top:13.25rem}}.mdx-content :is(h1,h2,h3,h4,h5,h6):is(:hover,:has(:focus-visible)):before{position:absolute;left:-.9em}@media (width>=64rem){.mdx-content :is(h1,h2,h3,h4,h5,h6):is(:hover,:has(:focus-visible)):before{--tw-content:"#";content:var(--tw-content)}}.mdx-content :is(h1,h2,h3,h4,h5,h6) a{color:var(--dark-invert);text-decoration-line:none}@media (hover:hover){.mdx-content :is(h1,h2,h3,h4,h5,h6) a:hover{text-decoration-line:underline}}.mdx-content :is(h1,h2,h3,h4,h5,h6)+*{margin-top:0}.mdx-content img{border-radius:var(--radius-sm,.25rem);background-color:var(--color-white,#fff);--tw-shadow:0 1px 3px 0 var(--tw-shadow-color,#0000001a), 0 1px 2px -1px var(--tw-shadow-color,#0000001a);box-shadow:var(--tw-inset-shadow), var(--tw-inset-ring-shadow), var(--tw-ring-offset-shadow), var(--tw-ring-shadow), var(--tw-shadow);margin-block:1.8em;margin-inline:auto}@media (width>=64rem){.mdx-content img{border-radius:var(--radius-lg,.5rem)}}.mdx-content img:where(.dark,.dark *){background-color:var(--color-black,#000)}.mdx-content a{scroll-margin-top:7rem;scroll-margin-bottom:calc(var(--spacing,.25rem) * 8)}@media (width>=40rem){.mdx-content a{scroll-margin-top:13.25rem}}.mdx-content a{border-radius:var(--radius-xs,.125rem);color:var(--text-accent);text-underline-offset:4px;text-decoration-line:underline;text-decoration-thickness:1px}.mdx-content a:focus{outline-color:#0000}.mdx-content a:focus-visible{outline-style:var(--tw-outline-style);outline-offset:2px;outline-width:2px;outline-color:var(--color-accent,#046b46)}@media (hover:hover){.mdx-content a:hover{text-decoration-thickness:2px}}.mdx-content a img{transition-property:box-shadow;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function,cubic-bezier(.4, 0, .2, 1)));transition-duration:var(--tw-duration,var(--default-transition-duration,.15s))}@media (hover:hover){.mdx-content a img:hover{--tw-shadow:0 10px 15px -3px var(--tw-shadow-color,#0000001a), 0 4px 6px -4px var(--tw-shadow-color,#0000001a);box-shadow:var(--tw-inset-shadow), var(--tw-inset-ring-shadow), var(--tw-ring-offset-shadow), var(--tw-ring-shadow), var(--tw-shadow)}}.mdx-content a:focus-visible img{outline-style:var(--tw-outline-style);outline-offset:2px;outline-width:2px;outline-color:var(--color-accent,#046b46)}@media (width>=45rem){.mdx-content blockquote{border-radius:.5rem}}.mdx-content blockquote{margin-inline:calc(var(--spacing,.25rem) * -4);background-color:var(--color-gray-200,#e5e7eb);padding-inline:calc(var(--spacing,.25rem) * 8);padding-block:calc(var(--spacing,.25rem) * 4);font-family:var(--font-roboto-slab,"Roboto Slab", serif);margin-block:1.25em;position:relative;overflow:hidden}.mdx-content blockquote:where(.dark,.dark *){background-color:var(--color-neutral-800,#262626)}.mdx-content blockquote:before{width:calc(var(--spacing,.25rem) * 2);background-color:var(--color-gray-500,#6b7280);--tw-content:"";content:var(--tw-content);inset-block:0;position:absolute;left:0}.mdx-content blockquote:before:where(){background-color:var(--color-neutral-700,#404040)}.mdx-content blockquote>:first-child{margin-top:0}.mdx-content blockquote>:last-child{margin-bottom:0}.mdx-content blockquote blockquote{margin-block:.8em;margin-left:var(--spacing,.25rem);overflow:visible}.mdx-content blockquote blockquote:last-child{margin-bottom:-1em}.mdx-content blockquote a:where(.dark,.dark *){color:var(--color-green-600,#16a34a)}.mdx-content hr{border-top-style:var(--tw-border-style);border-color:#0000001a;border-top-width:1px;margin-block:3em}@supports (color:color-mix(in lab, red, red)){.mdx-content hr{border-color:color-mix(in oklab, var(--color-black,#000) 10%, transparent)}}.mdx-content hr:where(.dark,.dark *){border-color:#fff3}@supports (color:color-mix(in lab, red, red)){.mdx-content hr:where(.dark,.dark *){border-color:color-mix(in oklab, var(--color-white,#fff) 20%, transparent)}}.mdx-content ul{list-style-type:disc}.mdx-content ol{list-style-type:decimal}.mdx-content :is(ul,ol){padding-left:calc(var(--spacing,.25rem) * 5);margin-block:2em;list-style-position:outside}.mdx-content :is(ul,ol):last-child{margin-bottom:0}.mdx-content :is(ul,ol) li,.mdx-content :is(ul,ol) li p{margin-block:.5em}.mdx-content :is(ul,ol) :is(ul,ol){margin-block:0}.mdx-content ol li li{list-style-type:lower-latin}.mdx-content ol li li li{list-style-type:decimal}.dark .mdx-content input{--lightningcss-light: ;--lightningcss-dark:initial;color-scheme:dark}.mdx-content table{margin-inline:calc(var(--spacing,.25rem) * -4)}.mdx-content table tr{border-top-style:var(--tw-border-style);border-top-width:1px;margin:0;padding:0}.mdx-content table :is(td,th){border-style:var(--tw-border-style);border-width:1px;border-color:#00000080}@supports (color:color-mix(in lab, red, red)){.mdx-content table :is(td,th){border-color:color-mix(in oklab, var(--color-black,#000) 50%, transparent)}}.mdx-content table :is(td,th){padding-inline:calc(var(--spacing,.25rem) * 4);padding-block:calc(var(--spacing,.25rem) * 2);text-align:left}.mdx-content table :is(td,th):where(.dark,.dark *){border-color:#fff9}@supports (color:color-mix(in lab, red, red)){.mdx-content table :is(td,th):where(.dark,.dark *){border-color:color-mix(in oklab, var(--color-white,#fff) 60%, transparent)}}.mdx-content table :is(td,th)[align=center]{text-align:center}.mdx-content table :is(td,th)[align=right]{text-align:right}.mdx-content table th{--tw-font-weight:var(--font-weight-bold,700);font-weight:var(--font-weight-bold,700)}@property --tw-ease{syntax:"*";inherits:false}@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-border-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-font-weight{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-leading{syntax:"*";inherits:false}@property --tw-content{syntax:"*";inherits:false;initial-value:""}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(/assets/KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(/assets/KaTeX_AMS-Regular-DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(/assets/KaTeX_Fraktur-Regular-CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(/assets/KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(/assets/KaTeX_Main-Bold-waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(/assets/KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(/assets/KaTeX_Main-Italic-3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(/assets/KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(/assets/KaTeX_Main-Regular-ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(/assets/KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(/assets/KaTeX_Math-Italic-flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(/assets/KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(/assets/KaTeX_Script-Regular-C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(/assets/KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(/assets/KaTeX_Size1-Regular-Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(/assets/KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(/assets/KaTeX_Size2-Regular-B7gKUWhC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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)format("woff2"),url(/assets/KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(/assets/KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(/assets/KaTeX_Size4-Regular-DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{clip-path:inset(50%);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 .smash{line-height:0;display:inline}.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;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{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}.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}
