/*! tailwindcss v4.2.2 | 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)))){*,:before,:after,::backdrop{--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{:root,:host{--font-sans:"Nunito", "Pretendard Variable", system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", sans-serif;--font-mono:ui-monospace, SFMono-Regular, Menlo, Monaco, Consolas, "Liberation Mono", "Courier New", monospace;--color-white:#fff;--spacing:.25rem;--default-font-family:var(--font-sans);--default-mono-font-family:var(--font-mono);--color-primary:#578e7e;--color-text-light-primary:#44403c;--color-text-light-secondary:#78716c;--color-border-light:#e7e5e4;--color-surface-muted:#f5f5f4;--color-output-primary:#3b82f6;--color-output-text-main:#1f2937;--color-output-text-muted:#6b7280;--color-output-border:#e5e7eb}}@layer base{*,:after,:before,::backdrop{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}html,:host{-webkit-text-size-adjust:100%;tab-size:4;line-height:1.5;font-family:var(--default-font-family,ui-sans-serif, system-ui, 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;-webkit-text-decoration:inherit;-webkit-text-decoration:inherit;-webkit-text-decoration:inherit;text-decoration:inherit}b,strong{font-weight:bolder}code,kbd,samp,pre{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{outline:auto}progress{vertical-align:baseline}summary{display:list-item}ol,ul,menu{list-style:none}img,svg,video,canvas,audio,iframe,embed,object{vertical-align:middle;display:block}img,video{max-width:100%;height:auto}button,input,select,optgroup,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{padding-block:0}::-webkit-datetime-edit-year-field{padding-block:0}::-webkit-datetime-edit-month-field{padding-block:0}::-webkit-datetime-edit-day-field{padding-block:0}::-webkit-datetime-edit-hour-field{padding-block:0}::-webkit-datetime-edit-minute-field{padding-block:0}::-webkit-datetime-edit-second-field{padding-block:0}::-webkit-datetime-edit-millisecond-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{height:auto}::-webkit-outer-spin-button{height:auto}[hidden]:where(:not([hidden=until-found])){display:none!important}body.output-page{--output-quiz-page-progress-height:1.5px;--output-quiz-page-control-height:40px;--output-quiz-page-controls-padding-block:6px;--output-quiz-page-controls-padding-inline:16px;--output-quiz-page-controls-gap:12px;--output-quiz-page-controls-height:calc(var(--output-quiz-page-control-height) + var(--output-quiz-page-controls-padding-block) + var(--output-quiz-page-controls-padding-block));--output-quiz-page-header-background:#fffffff0;--output-quiz-page-header-height:calc(var(--output-quiz-page-progress-height) + var(--output-quiz-page-controls-height));--output-quiz-page-header-max-width:900px;--output-page-nav-reserved-height:var(--output-quiz-page-header-height);--output-scroll-indicator-color:#9ca3af;--output-scroll-progress:0;min-height:100vh;color:var(--color-output-text-main);-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;background:#fff;flex-direction:column;line-height:1.6;display:flex}body.output-page[data-output-question-stage-only=true]{--output-page-nav-reserved-height:0px}input:where([type=text]),input:where(:not([type])),input:where([type=email]),input:where([type=url]),input:where([type=password]),input:where([type=number]),input:where([type=date]),input:where([type=datetime-local]),input:where([type=month]),input:where([type=search]),input:where([type=tel]),input:where([type=time]),input:where([type=week]),select:where([multiple]),textarea,select{appearance:none;--tw-shadow:0 0 #0000;background-color:#fff;border-width:1px;border-color:oklch(55.1% .027 264.364);border-radius:0;padding:.5rem .75rem;font-size:1rem;line-height:1.5rem}:is(input:where([type=text]),input:where(:not([type])),input:where([type=email]),input:where([type=url]),input:where([type=password]),input:where([type=number]),input:where([type=date]),input:where([type=datetime-local]),input:where([type=month]),input:where([type=search]),input:where([type=tel]),input:where([type=time]),input:where([type=week]),select:where([multiple]),textarea,select):focus{outline-offset:2px;--tw-ring-inset:var(--tw-empty, );--tw-ring-offset-width:0px;--tw-ring-offset-color:#fff;--tw-ring-color:oklch(54.6% .245 262.881);--tw-ring-offset-shadow:var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color);--tw-ring-shadow:var(--tw-ring-inset) 0 0 0 calc(1px + var(--tw-ring-offset-width)) var(--tw-ring-color);box-shadow:var(--tw-ring-offset-shadow), var(--tw-ring-shadow), var(--tw-shadow);border-color:oklch(54.6% .245 262.881);outline:2px solid #0000}input::placeholder,textarea::placeholder{color:oklch(55.1% .027 264.364);opacity:1}::-webkit-datetime-edit-fields-wrapper{padding:0}::-webkit-date-and-time-value{min-height:1.5em}::-webkit-date-and-time-value{text-align:inherit}::-webkit-datetime-edit{display:inline-flex}::-webkit-datetime-edit{padding-top:0;padding-bottom:0}::-webkit-datetime-edit-year-field{padding-top:0;padding-bottom:0}::-webkit-datetime-edit-month-field{padding-top:0;padding-bottom:0}::-webkit-datetime-edit-day-field{padding-top:0;padding-bottom:0}::-webkit-datetime-edit-hour-field{padding-top:0;padding-bottom:0}::-webkit-datetime-edit-minute-field{padding-top:0;padding-bottom:0}::-webkit-datetime-edit-second-field{padding-top:0;padding-bottom:0}::-webkit-datetime-edit-millisecond-field{padding-top:0;padding-bottom:0}::-webkit-datetime-edit-meridiem-field{padding-top:0;padding-bottom:0}select{-webkit-print-color-adjust:exact;print-color-adjust:exact;background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' fill='none' viewBox='0 0 20 20'%3e%3cpath stroke='oklch(55.1%25 0.027 264.364)' stroke-linecap='round' stroke-linejoin='round' stroke-width='1.5' d='M6 8l4 4 4-4'/%3e%3c/svg%3e");background-position:right .5rem center;background-repeat:no-repeat;background-size:1.5em 1.5em;padding-right:2.5rem}select:where([multiple]),select:where([size]:not([size="1"])){background-image:initial;background-position:initial;background-repeat:unset;background-size:initial;print-color-adjust:unset;padding-right:.75rem}input:where([type=checkbox]),input:where([type=radio]){appearance:none;-webkit-print-color-adjust:exact;print-color-adjust:exact;vertical-align:middle;-webkit-user-select:none;user-select:none;color:oklch(54.6% .245 262.881);--tw-shadow:0 0 #0000;background-color:#fff;background-origin:border-box;border-width:1px;border-color:oklch(55.1% .027 264.364);flex-shrink:0;width:1rem;height:1rem;padding:0;display:inline-block}input:where([type=checkbox]){border-radius:0}input:where([type=radio]){border-radius:100%}input:where([type=checkbox]):focus,input:where([type=radio]):focus{outline-offset:2px;--tw-ring-inset:var(--tw-empty, );--tw-ring-offset-width:2px;--tw-ring-offset-color:#fff;--tw-ring-color:oklch(54.6% .245 262.881);--tw-ring-offset-shadow:var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color);--tw-ring-shadow:var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color);box-shadow:var(--tw-ring-offset-shadow), var(--tw-ring-shadow), var(--tw-shadow);outline:2px solid #0000}input:where([type=checkbox]):checked,input:where([type=radio]):checked{background-color:currentColor;background-position:50%;background-repeat:no-repeat;background-size:100% 100%;border-color:#0000}input:where([type=checkbox]):checked{background-image:url("data:image/svg+xml,%3csvg viewBox='0 0 16 16' fill='white' xmlns='http://www.w3.org/2000/svg'%3e%3cpath d='M12.207 4.793a1 1 0 010 1.414l-5 5a1 1 0 01-1.414 0l-2-2a1 1 0 011.414-1.414L6.5 9.086l4.293-4.293a1 1 0 011.414 0z'/%3e%3c/svg%3e")}@media (forced-colors:active){input:where([type=checkbox]):checked{appearance:auto}}input:where([type=radio]):checked{background-image:url("data:image/svg+xml,%3csvg viewBox='0 0 16 16' fill='white' xmlns='http://www.w3.org/2000/svg'%3e%3ccircle cx='8' cy='8' r='3'/%3e%3c/svg%3e")}@media (forced-colors:active){input:where([type=radio]):checked{appearance:auto}}input:where([type=checkbox]):checked:hover,input:where([type=checkbox]):checked:focus,input:where([type=radio]):checked:hover,input:where([type=radio]):checked:focus{background-color:currentColor;border-color:#0000}input:where([type=checkbox]):indeterminate{background-color:currentColor;background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' fill='none' viewBox='0 0 16 16'%3e%3cpath stroke='white' stroke-linecap='round' stroke-linejoin='round' stroke-width='2' d='M4 8h8'/%3e%3c/svg%3e");background-position:50%;background-repeat:no-repeat;background-size:100% 100%;border-color:#0000}@media (forced-colors:active){input:where([type=checkbox]):indeterminate{appearance:auto}}input:where([type=checkbox]):indeterminate:hover,input:where([type=checkbox]):indeterminate:focus{background-color:currentColor;border-color:#0000}input:where([type=file]){background:unset;border-color:inherit;font-size:unset;line-height:inherit;border-width:0;border-radius:0;padding:0}input:where([type=file]):focus{outline:1px solid buttontext;outline:1px auto -webkit-focus-ring-color}}@layer components{.btn-primary{background-color:var(--color-primary);height:3.5rem;color:var(--color-white,#fff);border-radius:.5rem;justify-content:center;align-items:center;gap:.5rem;padding:0 2rem;font-size:1.125rem;font-weight:700;line-height:1.75rem;transition:background-color .3s ease-in-out,color .3s ease-in-out,border-color .3s ease-in-out;display:inline-flex}.btn-primary:hover{background-color:#2563eb}.choice-label{cursor:pointer;border:2px solid var(--color-border-light,#dbe0e6);background-color:var(--color-white,#fff);text-align:center;color:var(--text-color,#1f2937);white-space:nowrap;border-radius:.75rem;justify-content:center;align-items:center;gap:.5rem;padding:.5rem 1rem;font-size:1rem;font-weight:500;line-height:1.5rem;transition:border-color .2s,background-color .2s,color .2s;display:flex}.choice-label:hover{border-color:var(--color-primary,#3d99f5);background-color:#3d99f514}.choice-label.selected{border-color:var(--color-primary,#3d99f5);color:var(--color-primary,#3d99f5);background-color:#3d99f51f;font-weight:600;box-shadow:0 .25rem .5rem #3d99f540}.input-field{border:2px solid var(--color-border-light,#dbe0e6);background-color:var(--color-white,#fff);width:100%;height:4rem;color:var(--text-color,#1f2937);border-radius:.75rem;outline:none;padding:0 1.25rem;font-size:1.125rem;line-height:1.75rem;transition:border-color .2s,box-shadow .2s}.input-field:focus{border-color:var(--color-primary,#3d99f5);box-shadow:0 0 0 3px #3d99f540}.section-title{font-size:1.25rem;font-weight:600;line-height:1.75rem}.section-icon{font-size:1.5rem;line-height:2rem}.section-wrap>*+*{margin-top:.75rem}.button_primary{background-color:var(--color-primary,#0d78f2);color:#fff;border-radius:.5rem;justify-content:center;align-items:center;padding:.5rem 1rem;font-weight:600;transition:background-color .2s;display:inline-flex}.button_primary:hover{background-color:#195ed1}.button_secondary{background-color:var(--color-surface-muted,#f0f2f4);color:var(--color-text-light-primary,#111418);border-radius:.5rem;justify-content:center;align-items:center;padding:.5rem 1rem;font-weight:600;transition:background-color .2s;display:inline-flex}.button_secondary:hover{background-color:#e4e6ea}.input{background-color:#fff;border:1px solid #d1d5db;border-radius:.5rem;outline:none;width:100%;padding:.5rem .75rem;transition:border-color .2s}.input:focus{border-color:var(--color-primary,#0d78f2);box-shadow:0 0 0 2px #0d78f226}.typography_h1{color:var(--color-text-light-primary,#111418);margin-bottom:1rem;font-size:1.875rem;font-weight:700;line-height:2.25rem}.typography_h2{color:var(--color-text-light-primary,#111418);margin-bottom:.75rem;font-size:1.5rem;font-weight:600;line-height:2rem}.typography_body{color:var(--color-text-light-secondary,#637488);font-size:1rem;line-height:1.5rem}.file_list_item{border-bottom:1px solid #e5e7eb;justify-content:space-between;align-items:center;padding:1rem 0;display:flex}.file_name{color:var(--color-text-light-primary,#111418);font-weight:500}.file_size{color:var(--color-text-light-secondary,#637488);font-size:.875rem}.download_button{color:var(--color-primary,#0d78f2);font-weight:600;text-decoration:none;transition:color .2s}.download_button:hover{color:#195ed1}.output-quiz-page-header{box-sizing:border-box;top:var(--common-header-visible-offset,var(--common-header-offset,52px));z-index:calc(var(--header-z-max,2147480000) - 2);width:100%;min-height:var(--output-quiz-page-header-height);grid-template-rows:var(--output-quiz-page-progress-height) var(--output-quiz-page-controls-height);background:var(--output-quiz-page-header-background);margin:0;display:grid;position:fixed;left:0;right:0}.adsense-auto-ads-ignore{google-auto-ads:ignore}.output-quiz-page-header--progress-only{--output-quiz-page-controls-height:0px;pointer-events:none;background:0 0}.output-quiz-page-header__progress{box-sizing:border-box;z-index:2;width:100%;min-width:0;height:var(--output-quiz-page-progress-height);position:relative}.output-quiz-page-header__controls{box-sizing:border-box;z-index:1;width:100%;max-width:var(--output-quiz-page-header-max-width);min-width:0;min-height:var(--output-quiz-page-controls-height);padding:var(--output-quiz-page-controls-padding-block) var(--output-quiz-page-controls-padding-inline);justify-content:center;align-items:stretch;margin:0 auto;display:flex;position:relative}.output-quiz-page-header__controls>*{width:100%;min-width:0}.output-scroll-indicator{opacity:0;pointer-events:none;background:0 0;width:100%;height:100%;transition:opacity .16s;position:relative}.output-scroll-indicator.is-scrollable{opacity:1}.output-scroll-indicator__bar{background:var(--output-scroll-indicator-color);width:100%;height:100%;transform:scaleX(var(--output-scroll-progress,0));transform-origin:0;transition:transform 80ms linear;display:block}.output-page-nav-row{box-sizing:border-box;max-width:var(--output-quiz-page-header-max-width);min-height:var(--output-quiz-page-control-height);align-items:center;gap:var(--output-quiz-page-controls-gap);background:0 0;grid-template-columns:minmax(0,1fr) auto minmax(0,1fr);margin:0 auto;padding:0;display:grid;position:relative}.output-page-back-button{box-sizing:border-box;color:#fff;white-space:nowrap;background:#20232b;border-radius:8px;justify-self:start;align-items:center;gap:6px;min-width:0;height:32px;min-height:32px;padding:0 10px;font-size:14px;font-weight:800;line-height:1;text-decoration:none;transition:color .16s,background-color .16s;display:inline-flex;position:relative}.output-page-back-button:hover{color:#fff;background:#3a3f49}.output-page-back-button:focus-visible{outline-offset:2px;outline:2px solid #2563eb}.output-page-back-button__icon{font-size:18px;line-height:1}.output-mode-tabs{box-sizing:border-box;width:min(100%,300px);min-height:var(--output-quiz-page-control-height);background:#20232b;border:0;border-radius:16px;grid-template-columns:repeat(2,minmax(0,1fr));gap:0;margin:0 auto;padding:4px;display:grid;box-shadow:inset 0 1px #ffffff0f}.output-mode-tab{box-sizing:border-box;min-width:0;min-height:calc(var(--output-quiz-page-control-height) - 8px);color:#ffffff9e;white-space:nowrap;border-radius:12px;justify-content:center;align-items:center;gap:0;padding:0 6px;font-size:14px;font-weight:700;line-height:1;text-decoration:none;transition:background-color .16s,color .16s,box-shadow .16s,transform .16s;display:inline-flex}.output-mode-tab:hover{color:#ffffffd1;background:0 0}.output-mode-tab:focus-visible{outline-offset:2px;outline:2px solid #ffffffe0}.output-mode-tab--active{color:#fff;background:#3a3f49;box-shadow:inset 0 1px #ffffff14}.output-mode-tab--active:hover{color:#fff;background:#3a3f49}.output-mode-tab__label{text-overflow:ellipsis;min-width:0;overflow:hidden}.output-page-nav-scope{color:#333d4b;text-align:right;white-space:nowrap;text-overflow:ellipsis;justify-self:end;align-items:center;min-width:0;font-size:12px;font-weight:700;line-height:1.4;display:inline-flex;overflow:hidden}.output-source-notice{text-align:left;grid-template-columns:minmax(0,1fr) clamp(120px,22vw,220px);align-items:center;gap:14px;padding:1rem;display:grid}.output-source-notice__meta{color:#333d4b;text-align:left;letter-spacing:0;text-overflow:ellipsis;white-space:nowrap;min-width:0;margin:0;font:700 24px/1.25 Pretendard Variable,Pretendard Fallback,system-ui,-apple-system,Segoe UI,sans-serif;overflow:hidden}.output-source-notice__meta-item,.output-source-notice__meta-chevron{display:inline}.output-source-notice__meta-chevron{color:inherit;margin:0 .32em}.output-source-notice__difficulty{grid-template-columns:minmax(0,auto) minmax(120px,1fr);align-items:center;gap:10px;min-width:0;display:grid}.output-source-notice__difficulty-label{color:#333d4b;overflow-wrap:anywhere;white-space:normal;min-width:0;font-size:13px;font-weight:700;line-height:1.3}.output-source-notice__difficulty-bar{accent-color:#333d4b;cursor:ew-resize;touch-action:pan-y;width:100%;height:24px;margin:0}.output-source-notice__difficulty-bar:focus-visible{outline:2px solid var(--color-output-primary);outline-offset:4px}.output-source-notice__text{color:var(--color-output-text-muted);text-align:left;white-space:normal;text-wrap:pretty;margin:12px 0 0;font-size:13px;line-height:1.7}.output-source-notice__link{color:var(--color-output-primary);text-underline-offset:.14em;font-weight:600;text-decoration:underline}@media (width<=767px){body.output-quiz-page{--common-header-offset:0px;--common-header-visible-offset:0px;--mobile-menu-top:0px;--output-quiz-page-header-background:#000;--output-scroll-indicator-color:#9ca3af;padding-top:0}body.output-quiz-page #common-header-mount{display:none}body.output-page{--output-quiz-page-control-height:44px;--output-quiz-page-controls-padding-block:0px;--output-quiz-page-controls-padding-inline:12px;--output-quiz-page-controls-gap:6px}body.output-page[data-output-question-stage-only=true]{--output-page-nav-reserved-height:0px}.output-quiz-page-header{grid-template-rows:var(--output-quiz-page-controls-height) var(--output-quiz-page-progress-height)}.output-quiz-page-header__controls{grid-row:1}.output-quiz-page-header__progress{grid-row:2}.output-page-nav-row{grid-template-columns:auto minmax(0,1fr);align-items:center;display:grid}.output-page-back-button{color:#fff;-webkit-backdrop-filter:blur(18px)saturate(180%);backdrop-filter:blur(18px)saturate(180%);background:#20232b;border:0;border-radius:999px;justify-content:center;gap:0;width:39.6px;min-width:39.6px;height:39.6px;min-height:39.6px;padding:0;transition:background-color .16s,transform .16s;box-shadow:0 8px 20px #0000003d,inset 0 1px #ffffff38}.output-page-back-button:hover{background:#3a3f49}.output-page-back-button:active{transform:scale(.96)}.output-page-back-button:focus-visible{outline-color:#ffffffe0}.output-page-back-button__icon{margin-left:-1px;font-size:23.4px}.output-page-back-button__label{clip:rect(0 0 0 0);clip-path:inset(50%);white-space:nowrap;border:0;width:1px;height:1px;margin:-1px;padding:0;position:absolute;overflow:hidden}.output-mode-tabs{justify-self:center;width:min(100%,260px);min-width:0}.output-page-nav-scope,.output-page-nav-scope[data-visible=true]{display:none}}.output-page-shell{flex:1 0 auto;width:100%;min-width:0;padding-bottom:24px}.output-layout{width:100%;padding:0}.output-side-rail{display:none}.output-main{width:100%;min-width:0;flex-direction:column;margin:0 auto;padding-block-start:var(--output-page-nav-reserved-height,0px);padding-block-end:0;padding-inline:0;display:flex}.output-question-stage-title{box-sizing:border-box;color:#333d4b;text-align:center;letter-spacing:0;word-break:keep-all;overflow-wrap:break-word;width:min(100%,760px);margin:0 auto;padding:18px 16px 12px;font:700 clamp(32px,4.4vw,44px)/1.25 Pretendard Variable,Pretendard Fallback,system-ui,-apple-system,Segoe UI,sans-serif}.output-question-stage-description{box-sizing:border-box;color:#4b5563;text-align:center;letter-spacing:0;word-break:keep-all;overflow-wrap:break-word;width:min(100%,760px);margin:0 auto;padding:0 16px 18px;font:500 16px/1.6 Pretendard Variable,Pretendard Fallback,system-ui,-apple-system,Segoe UI,sans-serif}.output-quiz-frame{box-sizing:border-box;background:#fff;width:100%;min-width:0}.output-question-stage{box-sizing:border-box;background:#fff;min-width:0;max-width:100%;min-height:320px;padding:16px 0;font-size:14px;overflow-x:clip}.output-question-stage section,.output-section-quiz-render-area,.output-section-quiz-render-area>article{box-sizing:border-box;overflow-wrap:anywhere;min-width:0;max-width:100%}.output-question-stage>section[data-section-id]{position:relative}.output-question-stage[data-output-question-stage-paywall-mode=teaser]>section[data-section-id]:last-of-type{max-height:30rem;position:relative;overflow:hidden}.output-question-stage[data-output-question-stage-paywall-mode=teaser]>section[data-section-id]:last-of-type:after{content:"";z-index:10;pointer-events:none;-webkit-backdrop-filter:blur(3px);backdrop-filter:blur(3px);background:linear-gradient(#fff0,#ffffffeb 64%,#fff 100%);height:16rem;position:absolute;bottom:0;left:0;right:0}.output-publication-member-gate-shell{z-index:20;isolation:isolate;margin-top:-12rem;padding-top:2rem;position:relative}.output-publication-member-gate{z-index:1;box-sizing:border-box;text-align:center;flex-direction:column;width:min(100%,36rem);margin:0 auto;padding:2rem 1rem 3rem;display:flex;position:relative}.output-publication-member-gate__lock-icon{color:#172033;width:3rem;height:3rem;margin:0 auto .5rem}.output-publication-member-gate__title{color:#172033;letter-spacing:0;text-wrap:balance;margin:0;font-size:1.5rem;font-weight:600;line-height:1.25}.output-publication-member-gate__title a,.output-publication-member-gate__benefit a{color:inherit;text-underline-offset:.16em;text-decoration:underline;text-decoration-thickness:.08em}.output-publication-member-gate__lead{color:#17203380;letter-spacing:0;text-wrap:pretty;margin:0 0 3rem;padding-inline:1rem;font-size:1.125rem;line-height:1.55}.output-publication-member-gate__benefits{color:#17203380;text-align:left;flex-direction:column;gap:1rem;margin:0 0 3rem;padding:0;list-style:none;display:flex}.output-publication-member-gate__benefit{align-items:flex-start;gap:.75rem;min-width:0;font-size:1rem;line-height:1.5;display:flex}.output-publication-member-gate__benefit-icon{color:#0ea5e9;flex:none;width:1.25rem;height:1.25rem;margin-top:.125rem}.output-publication-member-gate__benefit span{overflow-wrap:anywhere;min-width:0}.output-publication-member-gate__action{width:min(100%,20rem);margin:0 auto}.output-publication-member-gate__button{box-sizing:border-box;color:#fff;text-align:center;letter-spacing:0;touch-action:manipulation;background:#3485f7;border-radius:.75rem;justify-content:center;align-items:center;width:100%;min-height:2.25rem;padding:.625rem 1rem;font-size:.875rem;font-weight:500;line-height:1.25;text-decoration:none;transition:background-color .15s ease-in-out,color .15s ease-in-out,transform .15s ease-in-out,filter .15s ease-in-out;display:flex}.output-publication-member-gate__button:hover{background:#2563eb}.output-publication-member-gate__button:active{filter:saturate(1.5);transform:scale(.99)}.output-publication-member-gate__button:focus-visible{outline-offset:3px;outline:2px solid #3b82f6b8}.output-publication-member-gate__button-label{overflow-wrap:anywhere;min-width:0}.output-section-toc-text-area,.output-section-sub-toc-text-area,.output-section-quiz-render-area{padding-inline:16px}.output-text-question{letter-spacing:0;white-space:normal;word-break:keep-all;overflow-wrap:break-word;font-size:15px;line-height:1.65}.output-text-image{max-width:100%;margin:12px 0;display:block}.output-text-image img{max-width:100%;height:auto;display:block}.output-text-image .cell-img-header{justify-content:flex-end;align-items:center;gap:4px;padding:2px 0;display:none}body[data-output-active-mode=edit] .output-text-image .cell-img-header{display:flex}.output-text-image .cell-img-btn{color:#475569;cursor:pointer;background:#fff;border:1px solid #94a3b88c;border-radius:4px;justify-content:center;align-items:center;width:24px;height:24px;font-size:14px;line-height:1;display:inline-flex}.output-text-image .cell-img-btn:hover,.output-text-image .cell-img-btn:focus-visible{color:#b91c1c;border-color:#dc2626a6}.output-text-image .cell-img-btn:disabled{cursor:wait;opacity:.55}.output-section-toc-text-area,.output-section-sub-toc-text-area{align-items:flex-start;gap:8px;width:100%;min-width:0;display:flex}.output-section-toc-text-area{margin:0 0 8px}.output-section-sub-toc-text-area{margin:0 0 10px}.output-section-toc-text-area .toc-text,.output-section-sub-toc-text-area .sub-toc-text{color:#333d4b;text-align:left;letter-spacing:0;word-break:keep-all;overflow-wrap:break-word;flex:auto;min-width:0;margin:0;font-family:Pretendard Variable,Pretendard Fallback,system-ui,-apple-system,Segoe UI,sans-serif;font-weight:700;line-height:1.25}.output-section-toc-text-area .toc-text{font-size:24px}.output-section-sub-toc-text-area .sub-toc-text{padding-left:10px;font-size:18px}.output-section-toc-actions{flex:none;align-items:center;gap:4px;margin-top:2px;display:inline-flex}.output-section-toc-action-btn{color:#475569;cursor:pointer;background:#fff;border:1px solid #94a3b88c;border-radius:4px;justify-content:center;align-items:center;min-width:64px;height:26px;padding:0 8px;font-size:12px;line-height:1;display:inline-flex}.output-section-toc-action-btn:hover,.output-section-toc-action-btn:focus-visible{color:#2563eb;border-color:#2563eba6}.output-section-toc-action-btn--delete:hover,.output-section-toc-action-btn--delete:focus-visible{color:#b91c1c;border-color:#dc2626a6}.output-section-toc-action-btn:disabled{cursor:wait;opacity:.55}.output-section-heading{top:calc(var(--common-header-visible-offset,var(--common-header-offset,52px)) + var(--output-page-nav-reserved-height,0px));z-index:10;background:#fffadc;flex-wrap:wrap;justify-content:space-between;align-items:center;gap:.75rem;margin-block:0;padding-block:.25rem;padding-inline:0;font-size:15px;display:flex;position:sticky;overflow:visible}:is(.output-section-heading:has(.output-section-edit-help__trigger:hover),.output-section-heading:has(.output-section-edit-help__trigger:focus-visible),.output-section-heading:has(.output-section-edit-help__trigger[aria-expanded=true])){z-index:var(--header-z-max,2147480000)}.output-section-heading__main{flex-wrap:wrap;flex:auto;align-items:center;gap:.75rem;min-width:0;display:flex}.output-section-heading__title{min-width:0;color:var(--color-output-text-main);font-weight:700}.output-section-actions{flex-wrap:wrap;justify-content:flex-start;align-items:center;gap:.75rem;display:flex;overflow:visible}.output-section-bookmark-btn{color:var(--color-output-text-main);font:inherit;white-space:nowrap;cursor:pointer;background:0 0;border:0;border-radius:4px;justify-content:center;align-items:center;padding:0;line-height:1;transition:color .15s;display:inline-flex}.output-section-bookmark-btn[data-bookmarked="1"]{color:#ef4444}.output-section-action-btn{color:#ef4444;font:inherit;cursor:pointer;background:0 0;border:0;padding:0;font-size:12px;line-height:1.4}.output-section-edit-action{align-items:center;gap:.25rem;display:inline-flex;position:relative}.output-section-edit-help__trigger{box-sizing:border-box;color:#64748b;cursor:pointer;background:#fff;border:1px solid #cbd5e1;border-radius:50%;flex-shrink:0;justify-content:center;align-items:center;width:16px;height:16px;padding:0;font-family:inherit;font-size:11px;font-weight:700;line-height:1;display:inline-flex}.output-section-edit-help-tooltip{top:var(--output-section-edit-help-tooltip-top,0);left:var(--output-section-edit-help-tooltip-left,0);z-index:var(--header-z-max,2147480000);color:#fff;white-space:normal;opacity:0;pointer-events:none;visibility:hidden;background:#111827;border:1px solid #e5e7eb;border-radius:8px;width:max-content;max-width:min(260px,100vw - 2rem);padding:.45rem .6rem;font-size:12px;font-weight:600;line-height:1.35;transition:opacity .14s,transform .14s;position:fixed;transform:translate(-50%,2px);box-shadow:0 10px 24px #0f172a2e}.output-section-edit-help-tooltip[data-visible=true]{opacity:1;visibility:visible;transform:translate(-50%)}.output-section-edit-help-tooltip:after{content:"";left:var(--output-section-edit-help-tooltip-arrow-left,50%);background:#111827;width:8px;height:8px;position:absolute}.output-section-edit-help-tooltip[data-placement=top]:after{top:100%;transform:translate(-50%,-50%)rotate(45deg)}.output-section-edit-help-tooltip[data-placement=bottom]:after{bottom:100%;transform:translate(-50%,50%)rotate(45deg)}.output-section-wrong-note-toggle{color:#f97316;white-space:nowrap;align-items:center;gap:.35rem;font-size:12px;font-weight:600;line-height:1.4;display:inline-flex}.output-section-wrong-note-toggle input{margin:0}body[data-output-active-mode=edit] .output-section-action-btn[data-action=save-text-question]{color:#2563eb}body[data-output-active-mode=edit] .output-section-blank-order-ignore-toggle{color:#374151;white-space:nowrap;align-items:center;gap:.35rem;font-size:12px;font-weight:600;line-height:1.4;display:inline-flex}body[data-output-active-mode=edit] .output-section-blank-order-ignore-toggle input{margin:0}body[data-output-active-mode=edit] .output-section-edit-unsupported{color:#6b7280;white-space:nowrap;font-size:12px;font-weight:600;line-height:1.4}body[data-output-active-mode=edit] .output-text-question{white-space:pre-wrap;border-radius:4px;min-height:1.6em;padding:6px 8px}body[data-output-active-mode=edit] .output-text-question.is-output-text-editing{background:#fff;outline:none;min-height:150px;box-shadow:inset 0 0 0 1px #9ca3af}body[data-output-active-mode=edit] .output-text-question.is-output-text-editing[data-placeholder]:empty:before{content:attr(data-placeholder);color:#6b7280;white-space:pre-wrap;pointer-events:none}body[data-output-active-mode=edit] .output-text-question.is-output-text-editing:focus-visible{box-shadow:inset 0 0 0 1px #2563eb}body[data-output-active-mode=edit] .output-table-cell-editor{white-space:pre-wrap;min-height:1.35em}body[data-output-active-mode=edit] .output-table-cell-editor.is-output-text-editing{background:#fff;outline:none;box-shadow:inset 0 0 0 1px #9ca3af}body[data-output-active-mode=edit] .output-table-cell-editor.is-output-text-editing:focus-visible{box-shadow:inset 0 0 0 1px #2563eb}.output-question-stage .output-blank-input[data-blank-key]{appearance:auto;box-sizing:border-box;inline-size:var(--output-blank-width,auto);max-width:100%;height:1.35em;font:inherit;vertical-align:baseline;background:#f3f4f6;border:0 solid;padding:0 .25em;line-height:1}.output-question-stage textarea.output-blank-input[data-blank-key]{vertical-align:text-top;resize:none;white-space:pre-wrap;overflow-wrap:anywhere;min-height:1.35em;line-height:normal;display:inline-block;overflow:hidden}.output-table-scroll .output-blank-field{box-sizing:border-box;inline-size:var(--output-blank-width,auto);vertical-align:baseline;background:#eaf3ff;border-radius:2px;max-width:100%;margin-block:.09em;display:inline-block;box-shadow:inset 0 0 0 1px #2563eb29}.output-table-scroll br+.output-blank-field{margin-block-start:.18em}.output-table-scroll .output-blank-field:has(.output-blank-input[data-answer-correct=true]){background:#fef08a}:is(.output-table-scroll .output-blank-field:has(.output-blank-reveal),.output-table-scroll .output-blank-field:has(.output-blank-density-answer)){box-shadow:none;background:0 0}.output-table-scroll .output-blank-input[data-blank-key]{vertical-align:baseline;inline-size:100%;background:0 0;border-block-end:0;border-radius:0;height:1.08em;padding:0;line-height:1}.output-table-scroll textarea.output-blank-input[data-blank-key]{height:calc(var(--output-blank-rows,1) * 1.16em);min-height:calc(var(--output-blank-rows,1) * 1.16em);vertical-align:top;line-height:1.08}.output-table-scroll .output-blank-field .output-blank-reveal{inline-size:100%}.output-question-stage .output-blank-input[data-blank-key][data-answer-correct=true]{background:#fef08a}.output-table-scroll .output-blank-field .output-blank-input[data-blank-key][data-answer-correct=true]{background:0 0}.output-table-scroll{overscroll-behavior-x:contain;-webkit-overflow-scrolling:touch;width:100%;min-width:0;max-width:100%;overflow:hidden}.output-table-scroll table{font-size:.875rem;line-height:1.16}.output-blank-reveal{box-sizing:border-box;inline-size:var(--output-blank-width,auto);vertical-align:baseline;white-space:nowrap;overflow-wrap:break-word;word-break:keep-all;max-width:100%;line-height:normal;display:inline-block}.output-blank-reveal[style*=--output-blank-rows]{white-space:pre-wrap}.output-blank-reveal__matched{color:#16a34a}.output-blank-reveal__remaining{color:#dc2626}.output-blank-density-answer{box-sizing:border-box;inline-size:var(--output-blank-width,auto);max-width:100%;color:var(--color-output-text-main);vertical-align:baseline;white-space:nowrap;overflow-wrap:break-word;word-break:keep-all;line-height:normal;display:inline-block}.output-blank-density-answer[style*=--output-blank-rows]{white-space:pre-wrap}.output-table-scroll .output-blank-density-answer,.output-table-scroll .output-blank-reveal{min-height:calc(var(--output-blank-rows,0) * 1.16em);vertical-align:top;white-space:normal;line-height:1.08}.output-question-stage .output-blank-input[data-blank-key]:focus{box-shadow:none;outline:none}.output-question-stage .output-blank-input[data-blank-key]:focus-visible{outline-offset:0;box-shadow:none;outline:1px solid #9ca3af}.output-question-stage>section>*{margin:0}.output-question-stage>section>.output-section-quiz-render-area{margin-block-start:1lh}.output-section-hidden-overlay-panel{z-index:2;color:#dc2626;text-align:center;background:#ffffffb8;border:1px solid #94a3b847;border-radius:8px;flex-direction:column;justify-content:center;align-items:center;gap:10px;width:70%;height:70%;min-height:72px;display:flex;position:absolute;top:50%;left:50%;transform:translate(-50%,-50%);box-shadow:0 8px 24px #0f172a0f}.output-section-hidden-overlay-panel__icon{color:#dc2626;font-size:56px;line-height:1}.output-section-hidden-overlay-panel__message{color:#111827;word-break:keep-all;overflow-wrap:break-word;margin:0;font-size:15px;font-weight:600;line-height:1.45}.output-section-hidden-overlay-panel__cancel{color:#111827;min-width:64px;min-height:32px;font:inherit;cursor:pointer;background:#fff;border:1px solid #d1d5db;border-radius:6px;font-size:14px;font-weight:600;line-height:1}.output-section-hidden-overlay-panel__cancel:hover,.output-section-hidden-overlay-panel__cancel:focus-visible{background:#f9fafb;border-color:#94a3b8}.output-question-stage>section:not([data-section-hidden="1"])>.output-section-hidden-overlay-panel{display:none}.output-question-stage table{border-collapse:collapse;table-layout:fixed;width:100%}.output-question-stage th{font-weight:inherit;text-align:left}.output-question-stage th,.output-question-stage td{border:1px solid var(--color-output-border);vertical-align:top;overflow-wrap:anywhere;word-break:break-word;padding:.3em}.output-table-scroll th,.output-table-scroll td{border-color:#111827;padding:.1em .18em}:is(.output-table-scroll th:not(:has(.output-blank-input)):not(:has(.output-blank-reveal)):not(:empty),.output-table-scroll td:not(:has(.output-blank-input)):not(:has(.output-blank-reveal)):not(:empty)){text-align:center;vertical-align:middle;background:#f3f4f6}.output-table-scroll th.output-table-cell--borderless,.output-table-scroll td.output-table-cell--borderless{border-block-color:#0000}.output-question-stage>section+section{content-visibility:auto;contain-intrinsic-size:auto 520px;margin-top:1.5rem;padding-top:1.5rem}.output-question-stage[data-content-visibility-locked]>section+section{content-visibility:visible;contain-intrinsic-size:none}.output-question-stage>section{scroll-margin-top:calc(var(--common-header-visible-offset,0px) + 1rem)}@media (width>=768px){.output-layout{padding:0 2rem}.output-question-stage-title{padding:20px 0 14px}.output-question-stage-description{padding:0 0 20px;font-size:17px}.output-question-stage{min-height:480px;padding:16px}.output-section-toc-text-area,.output-section-sub-toc-text-area,.output-section-quiz-render-area{padding-inline:0}}@media (width>=1024px){.output-main{max-width:900px}.output-layout{padding:0 2.5rem}}@media (width>=1200px){.output-layout{--output-main-column-width:900px;--output-rail-gap:clamp(1rem, 2vw, 1.5rem);grid-template-columns:minmax(0, 1fr) var(--output-main-column-width) minmax(0, 1fr);column-gap:var(--output-rail-gap);align-items:start;padding:0;display:grid}.output-main{max-width:none}.output-side-rail{top:calc(var(--common-header-visible-offset,0px) + 1rem);justify-content:center;align-items:flex-start;width:100%;display:flex;position:sticky}body.output-quiz-page .output-main{grid-column:2}body.output-quiz-page .output-side-rail{top:var(--common-header-visible-offset,0px);z-index:20;width:calc((100vw - var(--output-main-column-width) - (var(--output-rail-gap) * 2)) / 2);box-sizing:border-box;pointer-events:none;position:fixed;bottom:0;overflow:hidden}body.output-quiz-page .output-side-rail--right{right:0;top:calc(var(--common-header-visible-offset,0px) + var(--output-page-nav-reserved-height,0px));flex-direction:column;grid-column:3;justify-content:flex-start;align-items:stretch}body.output-quiz-page .output-side-toc{box-sizing:border-box;-webkit-hyphens:auto;hyphens:auto;pointer-events:auto;scrollbar-width:thin;scrollbar-color:#6b728066 transparent;scrollbar-gutter:stable;background:0 0;flex-direction:column;flex:0 0 500px;height:500px;min-height:0;max-height:500px;margin-top:0;margin-right:-16px;padding:0 16px 24px 12px;display:flex;overflow:hidden auto}body.output-quiz-page .output-side-toc__title{color:#333d4b;margin:0;padding:0 0 16px;font-size:14px;font-weight:700;line-height:1.5}body.output-quiz-page .output-side-toc__body-wrap{box-sizing:border-box;flex:auto;min-height:0;padding:0;position:relative;overflow:visible}body.output-quiz-page .output-side-toc__body-wrap:before,body.output-quiz-page .output-side-toc__body-wrap:after{content:none}body.output-quiz-page .output-side-toc__list{flex-direction:column;gap:0;height:auto;margin:0;padding:0;list-style:none;display:flex;overflow:visible}body.output-quiz-page .output-side-toc::-webkit-scrollbar{width:12px;height:12px}body.output-quiz-page .output-side-toc::-webkit-scrollbar-track{background:0 0}body.output-quiz-page .output-side-toc::-webkit-scrollbar-thumb{background:padding-box content-box;border:3px solid #0000;border-radius:10px}body.output-quiz-page .output-side-toc:hover::-webkit-scrollbar-thumb{background-color:#6b728033}body.output-quiz-page .output-side-toc:hover::-webkit-scrollbar-thumb:hover{background-color:#6b728066}body.output-quiz-page .output-side-toc__item{color:#6b7280;min-width:0;font-size:14px;font-weight:400;line-height:1.5}body.output-quiz-page .output-side-toc__button{width:100%;color:inherit;font:inherit;line-height:inherit;text-align:left;cursor:pointer;touch-action:manipulation;background:0 0;border:0;border-radius:4px;padding:4px 0;transition:color .2s;display:block}body.output-quiz-page .output-side-toc__button:hover{color:#333d4b}body.output-quiz-page .output-side-toc__button:focus-visible{outline-offset:3px;outline:2px solid #00bcd48c}body.output-quiz-page .output-side-toc__item--toc{font-weight:700}body.output-quiz-page .output-side-toc__item--sub{padding-left:16px;font-weight:500}body.output-quiz-page .output-side-toc__item.is-active{color:#00bcd4;font-weight:700}body.output-quiz-page .output-side-toc__text{overflow-wrap:break-word;word-break:keep-all;display:block}body.output-quiz-page .output-side-toc__scroll-hint{display:none}.output-question-stage{width:100%;max-width:100%;min-height:640px;margin:0}}.output-other-subjects{box-sizing:border-box;text-align:center;background:#fff;border:1px solid #52a8eccc;width:100%;max-width:none;margin:12px 0 0;padding:16px;position:relative;box-shadow:inset 0 1px 3px #11182703,0 0 8px #52a8ec99}.output-other-subjects__heading{max-width:calc(100% - 32px);color:var(--color-output-text-main);overflow-wrap:anywhere;background:#fff;margin:0;padding:0 12px;font-size:18px;font-weight:700;line-height:1.2;position:absolute;top:0;left:50%;transform:translate(-50%,-50%)}.output-other-subjects__nav{flex-wrap:wrap;justify-content:center;gap:.625rem;display:flex}.output-other-subjects__link{border:1px solid var(--color-output-border);color:var(--color-output-text-main);white-space:nowrap;background:#fff;border-radius:9999px;padding:.5rem 1rem;font-size:14px;font-weight:600;text-decoration:none;transition:border-color .2s,color .2s,box-shadow .2s}.output-other-subjects__link:hover{border-color:var(--color-output-primary);color:var(--color-output-primary);box-shadow:0 2px 8px #3b82f626}.output-music-pick,.output-icon-pick{margin:.5rem 0 .75rem}.output-music-pick-body,.output-icon-pick{background:#fff;border-radius:.75rem;flex-direction:column;gap:.75rem;padding:.75rem;display:flex}.output-music-pick-title-line,.output-icon-pick-text{color:#1f2937;margin:0}.output-music-pick-hint,.output-icon-pick-hint{color:#111827;margin:0;font-size:.95rem;line-height:1.5}.output-music-pick-table-wrap,.output-icon-pick-question-shell{min-width:0;max-width:100%;overflow-x:hidden}.output-music-pick-table{border-collapse:collapse;table-layout:fixed;width:100%;min-width:100%}.output-music-pick-cell{color:#111827;text-align:center;vertical-align:middle;white-space:pre-wrap;background:#fff;border:1px solid #cbd5e1;padding:.4rem;font-size:13px;line-height:1.4}.output-music-pick-cell--header{font-weight:600}td.output-music-pick-cell.output-music-pick-cell--strong{border-left-width:3px;border-left-color:#111827}tr.output-music-pick-row--strong td.output-music-pick-cell{border-top-width:3px;border-top-color:#111827}.output-music-pick-row[data-row-correct=true] .output-music-pick-cell--toggle,.output-music-pick-row[data-row-correct=true] .output-music-pick-cell--toggle .output-music-pick-toggle{color:#111827;background:#fff3b0}.output-music-pick-cell-text{word-break:break-word;min-width:24px;min-height:24px;display:block}.output-music-pick-cell .output-blank-input{text-align:center;width:auto;min-width:40px;margin:0 auto;display:inline-block}.output-music-pick-toggle{color:#111827;cursor:pointer;-webkit-user-select:none;user-select:none;background:0 0;border:none;border-radius:6px;justify-content:center;align-items:center;width:100%;min-height:36px;padding:0;font-size:20px;line-height:1;display:inline-flex}.output-music-pick-toggle:hover{background:#f3f4f6}.output-icon-pick-toolbar{align-items:center;display:flex}.output-icon-pick-palette{flex-wrap:wrap;gap:.5rem;display:flex}.output-icon-pick-palette-btn{color:#111827;cursor:pointer;background:0 0;border:none;border-radius:8px;justify-content:center;align-items:center;width:32px;height:32px;padding:0;display:inline-flex}.output-icon-pick-palette-btn:hover{background:#f3f4f6}.output-icon-pick-palette-btn.is-selected{color:#1d4ed8;background:#eff6ff}.output-icon-pick-palette-btn svg{width:24px;height:24px}.output-icon-pick-grid{flex-direction:column;gap:0;width:100%;min-width:0;display:flex}.output-icon-pick-grid__row{grid-auto-columns:minmax(0,1fr);grid-auto-flow:column;align-items:stretch;min-width:0;display:grid}.output-icon-pick-grid__label{color:#111827;background:#f8fafc;border:1px solid #cbd5e1;justify-content:center;align-items:center;min-width:0;padding:.5rem .4rem;font-weight:600;display:inline-flex}.output-icon-pick-cell,.output-icon-pick-gueum-cell{background:#fff;border:1px solid #cbd5e1;min-width:0;min-height:44px}.output-icon-pick-cell{cursor:pointer;justify-content:center;align-items:center;padding:0;display:inline-flex}.output-icon-pick-cell--group-start,.output-icon-pick-gueum-cell--group-start{border-left-width:3px;border-left-color:#94a3b8}.output-icon-pick-cell--selected{background:#eff6ff;box-shadow:inset 0 0 0 2px #2563eb}.output-icon-pick-cell--filled{background:#fff}.output-icon-pick-cell--correct{background:#fff3b0}.output-icon-pick-cell svg{width:24px;height:24px}.output-icon-pick-gueum-cell{color:#111827;text-align:center;justify-content:center;align-items:center;padding:.2rem .35rem;font-size:.8125rem;line-height:1.4;display:inline-flex}.output-icon-pick-gueum-cell .output-blank-input{text-align:center;width:100%;min-width:0;margin:0}}@layer utilities{.visible{visibility:visible}.fixed{position:fixed}.static{position:static}.start{inset-inline-start:var(--spacing)}.end{inset-inline-end:var(--spacing)}.container{width:100%}@media (width>=40rem){.container{max-width:40rem}}@media (width>=48rem){.container{max-width:48rem}}@media (width>=64rem){.container{max-width:64rem}}@media (width>=80rem){.container{max-width:80rem}}@media (width>=96rem){.container{max-width:96rem}}.block{display:block}.hidden{display:none}.inline{display:inline}.table{display:table}.resize{resize:both}.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,)}}:root{--surface-0:#fff;--surface-1:#f8fafc;--surface-2:#f1f5f9;--border-soft:#e5e7eb;--border-muted:#f1f5f9;--text-primary:#0f172a;--text-secondary:#475569;--text-muted:#94a3b8;--accent:#6366f1;--accent-soft:#eef2ff;--accent-hover:#4f46e5;--success:#10b981;--success-soft:#ecfdf5;--warning:#f59e0b;--warning-soft:#fffbeb;--error:#ef4444;--error-soft:#fef2f2;--radius-xs:6px;--radius-sm:8px;--radius-md:12px;--radius-lg:16px;--radius-pill:9999px;--shadow-sm:0 1px 2px #0000000a;--shadow-md:0 2px 8px #0000000f, 0 0 0 1px #00000008;--shadow-lg:0 8px 24px #00000014;--output-custom-main-max:760px;--output-custom-edit-sidebar-width:220px;--output-custom-edit-header-height:44px;--output-edit-main-pane-min-height:calc(100dvh - var(--common-header-visible-offset,var(--common-header-offset,52px)) - var(--output-custom-edit-header-height,44px) - 1.5rem);--output-custom-left-pane-min-height:var(--output-edit-main-pane-min-height);--output-custom-tooltip-min-height:428px}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/build/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(/build/assets/KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(/build/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(/build/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(/build/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(/build/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(/build/assets/KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(/build/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(/build/assets/KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(/build/assets/KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(/build/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(/build/assets/KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(/build/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(/build/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(/build/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(/build/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(/build/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(/build/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(/build/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(/build/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(/build/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(/build/assets/KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(/build/assets/KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(/build/assets/KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(/build/assets/KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(/build/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(/build/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(/build/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(/build/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:"0.16.46"}.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}@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}
