/*! tailwindcss v4.3.3 | MIT License | https://tailwindcss.com */@layer properties{@supports (((-webkit-hyphens:none)) and (not (margin-trim:inline))) or ((-moz-orient:inline) and (not (color:rgb(from red r g b)))){*,::backdrop,:after,:before{--tw-blur:initial;--tw-brightness:initial;--tw-contrast:initial;--tw-grayscale:initial;--tw-hue-rotate:initial;--tw-invert:initial;--tw-opacity:initial;--tw-saturate:initial;--tw-sepia:initial;--tw-drop-shadow:initial;--tw-drop-shadow-color:initial;--tw-drop-shadow-alpha:100%;--tw-drop-shadow-size:initial}}}@layer theme{:host,:root{--font-sans:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue","Noto Sans",Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";--font-mono:ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace;--default-font-family:var(--font-sans);--default-mono-font-family:var(--font-mono)}}@layer base{*,::backdrop,:after,:before{box-sizing:border-box;border:0 solid;margin:0;padding:0}::file-selector-button{box-sizing:border-box;border:0 solid;margin:0;padding:0}:host,html{-webkit-text-size-adjust:100%;tab-size:4;line-height:1.5;font-family:var(--default-font-family,-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue","Noto Sans",Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji");font-feature-settings:var(--default-font-feature-settings,normal);font-variation-settings:var(--default-font-variation-settings,normal);-webkit-tap-highlight-color:transparent}hr{height:0;color:inherit;border-top-width:1px}abbr:where([title]){-webkit-text-decoration:underline dotted;text-decoration:underline dotted}h1,h2,h3,h4,h5,h6{font-size:inherit;font-weight:inherit}a{color:inherit;-webkit-text-decoration:inherit;text-decoration:inherit}b,strong{font-weight:bolder}code,kbd,pre,samp{font-family:var(--default-mono-font-family,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace);font-feature-settings:var(--default-mono-font-feature-settings,normal);font-variation-settings:var(--default-mono-font-variation-settings,normal);font-size:1em}small{font-size:80%}sub,sup{vertical-align:baseline;font-size:75%;line-height:0;position:relative}sub{bottom:-.25em}sup{top:-.5em}table{text-indent:0;border-color:inherit;border-collapse:collapse}:-moz-focusring:where(:not(iframe)){outline:auto}progress{vertical-align:baseline}summary{display:list-item}menu,ol,ul{list-style:none}audio,canvas,embed,iframe,img,object,svg,video{vertical-align:middle;display:block}img,video{max-width:100%;height:auto}button,input,optgroup,select,textarea{font:inherit;font-feature-settings:inherit;font-variation-settings:inherit;letter-spacing:inherit;color:inherit;opacity:1;background-color:#0000;border-radius:0}::file-selector-button{font:inherit;font-feature-settings:inherit;font-variation-settings:inherit;letter-spacing:inherit;color:inherit;opacity:1;background-color:#0000;border-radius:0}:where(select:is([multiple],[size])) optgroup{font-weight:bolder}:where(select:is([multiple],[size])) optgroup option{padding-inline-start:20px}::file-selector-button{margin-inline-end:4px}::placeholder{opacity:1}@supports (not ((-webkit-appearance:-apple-pay-button))) or (contain-intrinsic-size:1px){::placeholder{color:currentColor}@supports (color:color-mix(in lab,red,red)){::placeholder{color:color-mix(in oklab,currentcolor 50%,transparent)}}}textarea{resize:vertical}::-webkit-search-decoration{-webkit-appearance:none}::-webkit-date-and-time-value{min-height:1lh;text-align:inherit}::-webkit-datetime-edit{display:inline-flex}::-webkit-datetime-edit-fields-wrapper{padding:0}::-webkit-datetime-edit,::-webkit-datetime-edit-year-field{padding-block:0}::-webkit-datetime-edit-day-field,::-webkit-datetime-edit-month-field{padding-block:0}::-webkit-datetime-edit-hour-field,::-webkit-datetime-edit-minute-field{padding-block:0}::-webkit-datetime-edit-millisecond-field,::-webkit-datetime-edit-second-field{padding-block:0}::-webkit-datetime-edit-meridiem-field{padding-block:0}::-webkit-calendar-picker-indicator{line-height:1}:-moz-ui-invalid{box-shadow:none}button,input:where([type=button],[type=reset],[type=submit]){appearance:button}::file-selector-button{appearance:button}::-webkit-inner-spin-button,::-webkit-outer-spin-button{height:auto}[hidden]:where(:not([hidden=until-found])){display:none!important}}@layer components;@layer utilities{.visible{visibility:visible}.sr-only{clip-path:inset(50%);white-space:nowrap;border-width:0;width:1px;height:1px;margin:-1px;padding:0;overflow:hidden}.absolute,.sr-only{position:absolute}.block{display:block}.flex{display:flex}.grid{display:grid}.table{display:table}.filter{filter:var(--tw-blur,) var(--tw-brightness,) var(--tw-contrast,) var(--tw-grayscale,) var(--tw-hue-rotate,) var(--tw-invert,) var(--tw-saturate,) var(--tw-sepia,) var(--tw-drop-shadow,)}}.data-switch{justify-content:space-between;align-items:center;gap:20px;margin-bottom:24px;display:flex}.data-switch label{flex:1;max-width:470px;margin:0}.source-notice p{margin:5px 0 0;font-size:12px}.source-notice a{text-decoration:underline}.study-tabs{flex-wrap:wrap;gap:10px;margin:24px 0;display:flex}.study-tabs button{font-size:13px}.catalog-row{border-bottom:1px solid var(--line);padding:20px 0}.catalog-row p{white-space:pre-wrap;overflow-wrap:anywhere;margin:8px 0 12px}.resume{margin-left:12px}.exam-content{white-space:normal;overflow-wrap:anywhere;min-width:0;max-width:100%;font-weight:400}.exam-content p{margin:8px 0}.exam-content img{background:#fff;max-width:100%;height:auto;margin:12px 0;display:block}.exam-content table{border-collapse:collapse;max-width:100%;margin:14px 0;font-size:14px;display:block;overflow-x:auto}.exam-content td,.exam-content th{border:1px solid #a6b4a7;min-width:38px;padding:7px 10px}.exam-content .katex{max-width:100%;font-size:1.1em}.exam-content .katex-display{overflow:auto hidden}.passage{border:1px solid var(--line);background:#fafbf8;border-radius:10px;max-width:100%;margin:18px 0;padding:18px;overflow-x:auto}.question .option>.exam-content{flex:1}.question .option>input{flex-shrink:0}.result-options{margin:16px 0;padding:0;list-style:none}.result-options li{border-bottom:1px solid var(--line);gap:10px;display:flex}.math-fallback{background:#fff3dc;font-family:monospace}.source-notice{font-size:13px}.source-notice strong{font-weight:700}@media (max-width:560px){.data-switch{display:block}.data-switch>span{margin-top:8px;display:block}.study-tabs{gap:6px}.study-tabs button{padding:9px 12px}.resume{margin-top:12px;margin-left:0}.exam-content table{font-size:12px}.passage{padding:12px}.question h2 .exam-content{font-size:18px}}:root{--ink:#203c37;--green:#22634e;--paper:#f5f6f1;--line:#dce3d9;--muted:#697970}*{box-sizing:border-box}body{background:var(--paper);color:var(--ink);margin:0;font-family:Arial,Malgun Gothic,sans-serif;font-size:15px;line-height:1.7}a{color:inherit;text-decoration:none}a:hover{text-decoration:underline}header{border-bottom:1px solid var(--line);gap:30px;max-width:1440px;margin:auto;padding:25px 5%;display:flex}.brand,header{align-items:center}.brand{letter-spacing:-.6px;white-space:nowrap;font-size:22px;font-weight:800;display:inline-flex}.compass{background:var(--green);color:#fff;border-radius:10px;margin-right:5px;padding:3px 9px}nav{gap:28px;font-size:14px;display:flex}main,nav{margin:auto}main{max-width:1240px;min-height:76vh;padding:48px 32px 70px}footer{border-top:1px solid var(--line);color:var(--muted);justify-content:space-between;padding:28px 5%;font-size:12px;display:flex}footer div{gap:20px;display:flex}h1,h2,h3,p{margin-top:0}h1{letter-spacing:-1.5px;margin-bottom:12px;font-size:34px;font-weight:750;line-height:1.45}h2{letter-spacing:-.5px;margin-bottom:18px;font-size:21px;line-height:1.5}h2,h3{font-weight:700}h3{font-size:18px}p{margin-bottom:16px}.muted{color:var(--muted);font-size:13px}.eyebrow{letter-spacing:2px;color:var(--green);font-size:11px;font-weight:700}.badge{letter-spacing:.2px;color:#386247;background:#e7eee3;border-radius:20px;padding:5px 12px;font-size:11px;display:inline-block}.page-title{margin-bottom:32px}.page-title h1{margin-top:18px}.page-title>p{color:var(--muted)}.grid{gap:22px;margin-bottom:26px;display:grid}.three{grid-template-columns:repeat(3,1fr)}.two{grid-template-columns:repeat(2,1fr)}.setup{grid-template-columns:1.6fr 1fr}.card{border:1px solid var(--line);background:#fff;border-radius:18px;margin-bottom:22px;padding:30px;box-shadow:0 3px 8px #203c3703}.grid>.card{margin:0}.tinted{background:#eaf0e4}.narrow{max-width:560px;margin:25px auto}.metric{letter-spacing:-2px;font-size:52px;font-weight:650;line-height:1.4}.metric small{margin-left:8px;font-size:18px;font-weight:400}.button,button{background:var(--green);color:#fff;cursor:pointer;border:none;border-radius:9px;justify-content:center;align-items:center;min-height:44px;padding:12px 21px;font-size:14px;font-weight:600;line-height:1.5;text-decoration:none;display:inline-flex}.secondary{color:var(--ink);background:#fff;border:1px solid #ccd7cd}.button:hover{filter:brightness(.95);text-decoration:none}button:disabled{opacity:.5;cursor:default}label{margin-bottom:18px;font-size:13px;font-weight:600;display:block}input:not([type=radio]):not([type=checkbox]),select,textarea{width:100%;font:inherit;color:var(--ink);background:#fff;border:1px solid #ccd7cd;border-radius:8px;margin-top:8px;padding:12px;display:block}a:focus-visible,button:focus-visible,input:focus-visible,select:focus-visible{outline-offset:3px;outline:3px solid #bd8c35}input[type=checkbox],input[type=radio]{accent-color:var(--green);width:18px;height:18px}fieldset{border:0;margin:26px 0;padding:0}.option{border:1px solid var(--line);cursor:pointer;background:#fff;border-radius:10px;align-items:center;gap:13px;margin-bottom:12px;padding:15px;font-size:15px;display:flex}.option.selected{border-color:var(--green);background:#eff5e9}.option>span{color:var(--muted);font-size:12px}.check{margin:24px 0}.between,.check{align-items:center;gap:10px;display:flex}.between{justify-content:space-between}.actions{gap:12px;margin:24px 0;display:flex}.practice-layout{grid-template-columns:minmax(0,1fr) 270px;align-items:start;gap:24px;display:grid}.question{padding:35px}.question h2{margin-top:22px;font-size:24px;line-height:1.6}.number-grid{grid-template-columns:repeat(5,1fr);gap:7px;display:grid}.number-grid button{min-width:0;padding:8px}.number-grid .answered{color:var(--green);background:#dcebd9}progress{width:100%;height:6px;accent-color:var(--green);border:0;border-radius:10px;margin:16px 0 10px}.alert{color:#8d3526;background:#f9e8df}.alert,.notice{border-radius:10px;padding:16px}.notice{background:#e0efdf}.good{color:#22634e}.bad{color:#ad4d36}.result{margin-top:16px}.history-row{border-bottom:1px solid var(--line);justify-content:space-between;margin-bottom:10px;padding:18px 0;display:flex}.stat-row{padding:10px 0}.stat-row p{color:var(--muted);margin:5px 0;font-size:13px}.hero{grid-template-columns:1.4fr 1fr;align-items:center;gap:60px;padding:25px 0 70px;display:grid}.hero h1{letter-spacing:-2.5px;margin:25px 0;font-size:52px;line-height:1.35}.hero em{color:var(--green);font-style:normal}.lead{color:var(--muted);font-size:17px;line-height:1.9}.hero-card{text-align:center;background:#e8efdf;border:1px solid #d8e1d0;border-radius:24px;padding:28px}.hero-card p{color:var(--muted);font-size:13px}.compass-art{color:var(--green);text-shadow:15px 15px #d8e2ca;font-size:150px;line-height:1.5}.prose{max-width:800px;margin:auto}.prose h1{margin-top:20px}pre{white-space:pre-wrap;overflow-wrap:anywhere;max-height:400px;font-size:12px;overflow:auto}.skip,.sr-only{position:absolute;left:-10000px}.skip:focus{z-index:10;background:#fff;padding:10px;top:10px;left:10px}ol{padding-left:20px}li{padding:12px 0}@media (max-width:850px){header{flex-wrap:wrap;gap:16px;padding:20px}nav{white-space:nowrap;order:3;gap:22px;width:100%;margin:0;overflow:auto}header>.badge{margin-left:auto}main{padding:30px 20px}.hero{gap:25px}.hero h1{font-size:38px}.hero-card{padding:20px}.compass-art{font-size:110px}.practice-layout,.setup,.three{grid-template-columns:1fr}footer{display:block}footer div{flex-wrap:wrap;margin-top:12px}}@media (max-width:560px){.hero{grid-template-columns:1fr;padding-bottom:30px}.hero h1{font-size:36px}.hero-card{display:none}.two{grid-template-columns:1fr;gap:0}.card,.question{padding:22px}h1{font-size:28px}.brand,.question h2{font-size:20px}.option{gap:8px;padding:12px}.actions{flex-wrap:wrap}.number-grid{grid-template-columns:repeat(5,1fr)}}@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}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_AMS-Regular.66a29eee.woff2) format("woff2"),url(/_next/static/media/KaTeX_AMS-Regular.170ff26b.woff) format("woff"),url(/_next/static/media/KaTeX_AMS-Regular.51ed0451.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Caligraphic-Bold.b300903a.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Bold.9e8f83eb.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Bold.fcdf9d53.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Caligraphic-Regular.89cff5d9.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Regular.7038ed78.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Regular.7b04fe54.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Fraktur-Bold.e207144e.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Bold.76fca10e.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Bold.aafc3ba9.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Fraktur-Regular.48360354.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Regular.d191f0aa.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Regular.bf9a489c.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Main-Bold.658ac572.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Bold.7c4ada6e.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Bold.bdbc269b.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Main-BoldItalic.fb70773e.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-BoldItalic.be59fd11.woff) format("woff"),url(/_next/static/media/KaTeX_Main-BoldItalic.85db565b.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Italic.606e90a1.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Italic.66b50dfa.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Italic.c56c78f5.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Regular.77019597.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Regular.b29087bd.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Regular.3a2aa7c1.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Math-BoldItalic.ca49bb2b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-BoldItalic.f3916c65.woff) format("woff"),url(/_next/static/media/KaTeX_Math-BoldItalic.610218c4.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Math-Italic.34d02b86.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-Italic.e89a7a5b.woff) format("woff"),url(/_next/static/media/KaTeX_Math-Italic.33c38154.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_SansSerif-Bold.ac5f7cad.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Bold.f4af379a.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Bold.90eca689.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Italic.133cf641.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Italic.734141e2.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Italic.affdcaa9.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Regular.4136a7da.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Regular.fb9e3b9c.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Regular.737203ff.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Script-Regular.1d72aa55.woff2) format("woff2"),url(/_next/static/media/KaTeX_Script-Regular.5e545f4a.woff) format("woff"),url(/_next/static/media/KaTeX_Script-Regular.b4e9ced1.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size1-Regular.e475e719.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size1-Regular.18a6da8c.woff) format("woff"),url(/_next/static/media/KaTeX_Size1-Regular.dffe8e79.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size2-Regular.563cbca7.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size2-Regular.bbbe0c8c.woff) format("woff"),url(/_next/static/media/KaTeX_Size2-Regular.36c01a10.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size3-Regular.fdd99e60.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size3-Regular.08b60621.woff) format("woff"),url(/_next/static/media/KaTeX_Size3-Regular.3feeecd0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size4-Regular.4f1ac6eb.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size4-Regular.e8caa0f2.woff) format("woff"),url(/_next/static/media/KaTeX_Size4-Regular.75fbbb35.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Typewriter-Regular.b77829dc.woff2) format("woff2"),url(/_next/static/media/KaTeX_Typewriter-Regular.d04158eb.woff) format("woff"),url(/_next/static/media/KaTeX_Typewriter-Regular.ffc7dc28.ttf) format("truetype")}.katex{font:normal 1.21em KaTeX_Main,math,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.19.1"}.katex .katex-mathml{border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .katex-base,.katex .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;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .katex-vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .katex-thinbox{display:inline-flex;flex-direction:row;max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .katex-hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.katex-root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .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{display:inline-block;width:.12em}.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 .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .katex-overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.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;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .katex-stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .katex-stretchy:after,.katex .katex-stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.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{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .katex-sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .reflectbox{display:inline-block;transform:scaleX(-1)}.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{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}