:root{font-family:system-ui,Avenir,Helvetica,Arial,sans-serif;line-height:1.5;font-weight:400;color-scheme:light dark;color:#ffffffde;background-color:#242424;font-synthesis:none;text-rendering:optimizeLegibility;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}a{font-weight:500;color:#646cff;text-decoration:inherit}a:hover{color:#535bf2}body{margin:0;display:flex;place-items:center;min-width:320px;min-height:100vh}h1{font-size:3.2em;line-height:1.1}button{border-radius:8px;border:1px solid transparent;padding:.6em 1.2em;font-size:1em;font-weight:500;font-family:inherit;background-color:#1a1a1a;cursor:pointer;transition:border-color .25s}button:hover{border-color:#646cff}button:focus,button:focus-visible{outline:4px auto -webkit-focus-ring-color}@media(prefers-color-scheme:light){:root{color:#213547;background-color:#fff}a:hover{color:#747bff}button{background-color:#f9f9f9}}#root{max-width:1280px;margin:0 auto;padding:2rem;text-align:center}.logo{height:6em;padding:1.5em;will-change:filter;transition:filter .3s}.logo:hover{filter:drop-shadow(0 0 2em #646cffaa)}.logo.react:hover{filter:drop-shadow(0 0 2em #61dafbaa)}@keyframes logo-spin{0%{transform:rotate(0)}to{transform:rotate(360deg)}}@media(prefers-reduced-motion:no-preference){a:nth-of-type(2) .logo{animation:logo-spin infinite 20s linear}}.card{padding:2em}.read-the-docs{color:#888}:root{--bg: #fafcff;--surface: #ffffff;--text-primary: #0f172a;--text-secondary: #475569;--border: rgba(203, 213, 225, .6);--accent: #3b82f6;--accent-dark: #2563eb;--accent-glow: rgba(59, 130, 246, .35);--shadow-sm: 0 2px 8px rgba(0,0,0,.06);--shadow-md: 0 8px 32px rgba(0,0,0,.08);--blur: blur(12px);--radius: 14px;--radius-pill: 9999px;--transition: all .28s cubic-bezier(.34, 1.56, .64, 1);--surface-mobile: rgba(255, 255, 255, .92);--surface-mobile-blur: rgba(255, 255, 255, .75);--icon-bg: rgba(59, 130, 246, .1)}[data-theme=dark]{--bg: #0a0f1a;--surface: #0f172a;--surface-mobile: rgba(15, 23, 42, .96);--text-primary: #e2e8f0;--text-secondary: #94a3b8;--border: rgba(51, 65, 85, .5);--accent: #60a5fa;--accent-dark: #3b82f6;--accent-glow: rgba(96, 165, 250, .4);--shadow-sm: 0 4px 16px rgba(0,0,0,.5);--shadow-md: 0 12px 48px rgba(0,0,0,.55);--icon-bg: rgba(96, 165, 250, .08)}*{margin:0;padding:0;box-sizing:border-box}body{background:var(--bg);color:var(--text-primary);font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,sans-serif;min-height:100dvh;line-height:1.6;transition:background .5s ease,color .5s ease}header.header{position:sticky;top:0;z-index:1000;display:flex;justify-content:space-between;align-items:center;padding:1rem 1.5rem;background:#ffffff0f;backdrop-filter:var(--blur);-webkit-backdrop-filter:var(--blur);border-bottom:1px solid var(--border);box-shadow:var(--shadow-sm);transition:var(--transition)}[data-theme=dark] header.header{background:#0f172a6b}.header-left{display:flex;align-items:center;gap:1rem}.logo{font-size:1.8rem;font-weight:700;letter-spacing:-.03em;color:var(--text-primary);text-decoration:none}.nav-icon{display:flex;align-items:center;justify-content:center;width:36px;height:36px;background:transparent;color:var(--text-primary);border:none;cursor:pointer;transition:transform .25s ease,color .25s ease}.nav-icon:hover,.nav-icon:focus-visible{transform:scale(1.08)}#dashboardBtn svg{width:24px;height:24px;stroke:currentColor;stroke-width:1.7;fill:none}#closeDashboard{font-size:2rem;font-weight:700;line-height:1;padding:.25rem .6rem;border-radius:8px;background:#0000000d;border:none;cursor:pointer;color:var(--text-primary);transition:all .25s ease}#closeDashboard:hover{background:#0000001f;transform:scale(1.08)}.dashboard-header{display:flex;justify-content:space-between;align-items:center;padding:1rem 1.5rem;border-bottom:1px solid var(--border)}.dashboard-panel{position:fixed;top:0;right:0;width:50%;max-width:400px;height:100dvh;background:var(--surface);box-shadow:var(--shadow-md);border-left:1px solid var(--border);display:flex;flex-direction:column;transition:transform .35s cubic-bezier(.16,1,.3,1);z-index:2000;transform:translate(100%)}.dashboard-panel.open{transform:translate(0)}@media(max-width:768px){.dashboard-panel{width:70%;max-width:none;border-left:none}}.dashboard-content{padding:1.5rem;flex:1;display:flex;flex-direction:column;gap:1.25rem;overflow-y:auto}.overlay{position:fixed;inset:0;background:#00000061;opacity:0;pointer-events:none;transition:opacity .4s ease;z-index:1500}.overlay.active{opacity:1;pointer-events:all}@media(max-width:768px){.overlay.active{background:#00000073}}[data-theme=dark] .overlay{background:#0000008c}.header-right{display:flex;align-items:center;gap:1.25rem}.dashboard-btn{width:100%;padding:.85rem 1.2rem;border-radius:14px;font-size:.95rem;font-weight:600;cursor:pointer;transition:all .25s ease;display:flex;align-items:center;gap:14px;text-align:left;background:transparent;border:1.5px solid transparent;letter-spacing:.2px}.dashboard-btn svg{width:32px;height:32px;padding:8px;border-radius:14px;background:var(--icon-bg);flex-shrink:0;display:block;transition:all .25s ease}.dashboard-btn:hover svg{transform:scale(1.1);background:#3b82f638}.dashboard-btn:hover{transform:translateY(-2px);box-shadow:0 10px 28px #00000014}.dashboard-btn:hover svg{transform:scale(1.08);background:#3b82f62e}.dashboard-btn:hover{transform:translateY(-2px);box-shadow:0 10px 30px #00000014}.dashboard-btn:active{transform:translateY(0);box-shadow:none}.signin-btn{background:linear-gradient(135deg,var(--accent),var(--accent-dark));color:#fff;border:none;box-shadow:0 8px 25px #3b82f659}.signin-btn svg{background:#ffffff2e}.signin-btn:hover{box-shadow:0 14px 38px #3b82f673}.signin-btn:hover svg{background:#ffffff47}.home-btn,.theme-btn{background:var(--surface);color:var(--text-primary);border:1.5px solid var(--border)}.home-btn:hover,.theme-btn:hover{border-color:var(--accent);color:var(--accent);background:#3b82f60f}.home-btn:hover svg,.theme-btn:hover svg{background:#3b82f624}.signout-btn{background:var(--surface);color:#ef4444;border:1.5px solid rgba(239,68,68,.4)}.signout-btn svg{background:#ef44441f}.signout-btn:hover{background:#ef444414;border-color:#ef4444}.signout-btn:hover svg{background:#ef44442e}[data-theme=dark] .dashboard-btn{background:#ffffff05}[data-theme=dark] .dashboard-btn svg{background:#ffffff0f}[data-theme=dark] .dashboard-btn:hover svg{background:#60a5fa2e}[data-theme=dark] .dashboard-btn{background:#ffffff08}[data-theme=dark] .home-btn,[data-theme=dark] .theme-btn{border-color:#ffffff1f}[data-theme=dark] .home-btn:hover,[data-theme=dark] .theme-btn:hover{background:#3b82f626}[data-theme=dark] .signout-btn{border-color:#ef444466}[data-theme=dark] .signout-btn:hover{background:#ef44442e}.user-section{display:flex;align-items:center;gap:16px;margin-bottom:28px;padding-bottom:20px;border-bottom:1px solid var(--border)}.user-avatar{width:48px;height:48px;border-radius:50%;overflow:hidden;background:linear-gradient(135deg,var(--accent),var(--accent-dark));display:flex;align-items:center;justify-content:center;color:#fff;font-weight:600;font-size:1rem}.user-info{flex:1}.user-name{font-weight:600;font-size:1rem;color:var(--text-primary);display:block;margin-bottom:4px}.user-email{font-size:.85rem;color:var(--text-secondary)}.dashboard-content{display:flex;flex-direction:column;gap:14px;padding:1.8rem}.dashboard-btn{display:flex;align-items:center;gap:12px}#closeDashboard{background:transparent;border:none;cursor:pointer;padding:8px;border-radius:10px;transition:all .2s ease;display:flex;align-items:center;justify-content:center}#closeDashboard svg{width:20px;height:20px}#closeDashboard:hover{background:#0000000f}[data-theme=dark] #closeDashboard:hover{background:#ffffff14}.camera-container{display:flex;justify-content:center;align-items:center;min-height:55vh;margin:4rem 0 6rem}.camera-icon{width:200px;height:200px;padding:2.5rem;border-radius:var(--radius-pill);color:var(--accent);background:var(--icon-bg);cursor:pointer;transition:var(--transition);box-shadow:var(--shadow-sm)}.camera-icon:hover,.camera-icon:focus-visible{transform:scale(1.16);background:#3b82f624;box-shadow:0 0 50px var(--accent-glow),inset 0 0 30px #ffffff2e}.result-panel{position:fixed;inset:0;background:var(--surface);z-index:3500;display:flex;flex-direction:column;overflow-y:auto;transition:background .3s ease,color .3s ease}[data-theme=dark] .result-panel{background:var(--surface)}.result-panel-header{position:sticky;top:0;z-index:10;padding:1.2rem 1.5rem;background:var(--surface);border-bottom:1px solid var(--border);display:flex;justify-content:space-between;align-items:center;box-shadow:var(--shadow-sm);border-radius:var(--radius) var(--radius) 0 0;transition:background .3s ease,color .3s ease}.result-panel-header h2{margin:0;font-size:clamp(1.6rem,5vw,2rem);font-weight:900;font-family:Montserrat,sans-serif;letter-spacing:-.5px;line-height:1.1;color:var(--text-primary)}.result-panel-header{box-shadow:0 2px 8px #0000001f}.result-panel-header .close-btn{font-size:2.2rem;background:none;border:none;padding:0;color:#000;cursor:pointer;transition:transform .2s ease,opacity .2s ease}.result-panel-header .close-btn:hover{transform:scale(1.15);opacity:.7}[data-theme=dark] .result-panel-header .close-btn{color:#fff}.result-panel-content{flex:1;padding:2rem 1.5rem;display:flex;flex-direction:column;gap:2rem;align-items:center;justify-content:flex-start}.image-wrapper{position:relative;width:100%;max-width:720px;margin:0 auto;overflow:hidden;border-radius:var(--radius);box-shadow:0 4px 20px #0000001f}.result-image{display:block;width:100%;height:auto;object-fit:contain;border-radius:var(--radius);border:1px solid var(--border);box-shadow:0 12px 36px #00000026;transition:box-shadow .3s ease}.result-image:hover{box-shadow:0 16px 48px #00000040}.solution-area{width:100%;max-width:720px;background:var(--surface);padding:2rem;border-radius:var(--radius);box-shadow:var(--shadow-md);line-height:1.75;font-size:1.1rem;text-align:left;color:var(--text-primary);transition:background .3s ease,color .3s ease;position:relative}@media(max-width:768px){.solution-area{font-size:1rem;padding:1.5rem}.katex{font-size:1.12em}}.crop-modal{position:fixed;inset:0;background:#000000e6;z-index:3000;display:flex;flex-direction:column;justify-content:center;align-items:center;padding:1rem}.crop-modal.hidden{display:none}.crop-header{width:100%;display:flex;justify-content:space-between;align-items:center;padding:1rem 1.5rem;background:var(--surface);border-bottom:1px solid var(--border);border-radius:var(--radius)}.crop-body{display:flex;justify-content:center;align-items:center;padding:0;background:#00000059}.cropper-wrapper{display:inline-block;background:#000;border-radius:var(--radius)}.cropper-wrapper img{display:block;width:auto;height:auto;max-width:100vw;max-height:80vh}.crop-footer{width:100%;display:flex;justify-content:center;gap:1rem;padding:.75rem}.crop-footer button{padding:.6rem 1.4rem;font-size:.95rem;font-weight:600;border:none;border-radius:var(--radius-pill);cursor:pointer;transition:var(--transition);min-width:110px}.back-btn{padding:.9rem 2.5rem;font-size:1.15rem;font-weight:600;background:#fff;color:#000;border:1.5px solid var(--border);border-radius:var(--radius-pill);cursor:pointer;transition:transform .22s ease,background .22s ease,color .22s ease,box-shadow .22s ease}.back-btn:hover{transform:scale(1.06);box-shadow:0 4px 16px #00000026}[data-theme=dark] .back-btn{color:#000;background:#fff}.solve-btn{background:var(--accent);color:#fff}.solve-btn:hover{background:var(--accent-dark);box-shadow:0 0 12px var(--accent-glow)}.cropper-container .cropper-view-box{border:2px dashed var(--accent);box-sizing:border-box}.cropper-container .cropper-face{background-color:#3b82f626}.cropper-container .cropper-line{background-color:var(--accent)}.cropper-container .cropper-point{width:14px;height:14px;border-radius:50%;background-color:var(--accent);border:2px solid white;box-shadow:0 0 4px #0000004d;cursor:pointer;z-index:9999}.snaprium-header{position:fixed;top:0;left:0;right:0;height:76px;backdrop-filter:var(--blur);-webkit-backdrop-filter:var(--blur);border-bottom:1px solid var(--border);box-shadow:var(--shadow-sm);z-index:1000;transition:var(--transition)}.snaprium-header-inner{height:100%;padding:0 12px;display:flex;align-items:center;justify-content:space-between}.snaprium-brand{font-size:26px;font-weight:700;letter-spacing:-.03em;color:var(--text-primary);font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,sans-serif;cursor:default;margin-left:10px}.snaprium-menu-btn{background:none;border:none;padding:10px;cursor:pointer;transition:transform .2s ease;display:flex;align-items:center;justify-content:center}.snaprium-menu-btn:hover{transform:scale(1.12)}.snaprium-menu-btn:active{transform:scale(.96)}.snaprium-menu-btn svg{width:28px;height:28px;stroke:var(--text-primary);stroke-width:2.2;stroke-linecap:round;stroke-linejoin:round;pointer-events:none}.camera-icon{width:200px;height:200px;padding:2.5rem;border-radius:var(--radius-pill);color:var(--accent);background:var(--icon-bg);cursor:pointer;transition:var(--transition);box-shadow:var(--shadow-sm);animation:float 4.5s ease-in-out infinite;position:relative}@keyframes float{0%,to{transform:translateY(0)}50%{transform:translateY(-10px)}}.camera-icon:before{content:"";position:absolute;inset:-12px;border-radius:inherit;background:radial-gradient(circle,var(--accent-glow) 0%,transparent 70%);opacity:.5;z-index:-1;animation:glow-breathe 3.5s ease-in-out infinite}@keyframes glow-breathe{0%,to{opacity:.35;transform:scale(.95)}50%{opacity:.75;transform:scale(1.05)}}.camera-icon:hover{transform:translateY(-6px) scale(1.08);box-shadow:0 20px 60px var(--accent-glow)}.image-wrapper{position:relative;width:100%;max-width:100%;margin:0 auto;overflow:hidden;border-radius:12px;box-shadow:0 4px 20px #0000001f}.result-image{display:block;width:100%;height:auto;object-fit:contain}@media(min-width:768px){.image-wrapper{max-width:620px;margin:20px auto}}@media(min-width:1024px){.image-wrapper{max-width:720px}}@media(min-width:1440px){.image-wrapper{max-width:820px}}.image-wrapper{position:relative;overflow:hidden;border-radius:12px;box-shadow:0 10px 25px -5px #0000001a;transition:all .8s ease-out}.scan-overlay{position:absolute;inset:0;pointer-events:none;transition:opacity 1.4s ease-out}.scan-grid{position:absolute;inset:0;background:linear-gradient(to right,rgba(255,255,255,.04) 1px,transparent 1px),linear-gradient(to bottom,rgba(255,255,255,.04) 1px,transparent 1px);background-size:48px 48px;opacity:.35;animation:gridFade 7s ease-in-out infinite}.scan-line{position:absolute;left:0;right:0;height:4px;background:linear-gradient(90deg,transparent,rgba(255,255,255,.95),transparent);box-shadow:0 0 24px 10px #ffffff8c;animation:scan 3.2s cubic-bezier(.25,.1,.25,1) forwards;animation-delay:.5s;will-change:top,opacity}.scan-corners{position:absolute;inset:0;opacity:0;animation:cornersAppear .9s ease-out .3s forwards}@keyframes cornersAppear{to{opacity:.9}}.corner-tl,.corner-tr,.corner-bl,.corner-br{position:absolute;width:48px;height:48px;border:3px solid rgba(255,255,255,.75);box-shadow:0 0 14px #ffffffa6}.corner-tl{top:16px;left:16px;border-right:none;border-bottom:none}.corner-tr{top:16px;right:16px;border-left:none;border-bottom:none}.corner-bl{bottom:16px;left:16px;border-right:none;border-top:none}.corner-br{bottom:16px;right:16px;border-left:none;border-top:none}@keyframes scan{0%{top:-30%;opacity:0}10%{opacity:1}88%{opacity:1}to{top:130%;opacity:0}}@keyframes gridFade{0%,to{opacity:.3}50%{opacity:.55}}.loading-messages{min-height:220px;display:flex;flex-direction:column;align-items:flex-start;justify-content:center;gap:28px;padding:3rem 1.5rem;text-align:left}.loading-messages p{margin:0;font-size:1.32rem;font-weight:700;color:#374151;transition:all .7s ease}.dark .loading-messages p{color:#e5e7eb}.fade-in-scale{opacity:0;transform:scale(.94);animation:appearSmooth .9s cubic-bezier(.23,1,.32,1) forwards;animation-delay:.2s}@keyframes appearSmooth{to{opacity:1;transform:scale(1)}}.loading-spinner{width:54px;height:54px;border:6px solid rgba(255,255,255,.18);border-top:6px solid #ffffff;border-radius:50%;animation:spin 1.15s cubic-bezier(.55,.055,.675,.19) infinite}@keyframes spin{to{transform:rotate(360deg)}}.result-reveal-wrapper{opacity:0;transform:translateY(28px);transition:all .9s cubic-bezier(.22,1,.36,1);transition-delay:.15s}.result-reveal-wrapper.revealed{opacity:1;transform:translateY(0)}.result-reveal-wrapper.revealed>*{opacity:0;transform:translateY(20px);animation:fadeUpChildren .8s forwards;animation-timing-function:cubic-bezier(.22,1,.36,1)}.result-reveal-wrapper.revealed>*:nth-child(1){animation-delay:.18s}.result-reveal-wrapper.revealed>*:nth-child(2){animation-delay:.32s}.result-reveal-wrapper.revealed>*:nth-child(3){animation-delay:.46s}.result-reveal-wrapper.revealed>*:nth-child(4){animation-delay:.6s}@keyframes fadeUpChildren{to{opacity:1;transform:translateY(0)}}.dark .scan-line{background:linear-gradient(90deg,transparent,rgba(255,255,255,.95),transparent);box-shadow:0 0 24px 10px #ffffff8c}.dark .corner-tl,.dark .corner-tr,.dark .corner-bl,.dark .corner-br{border-color:#ffffffbf;box-shadow:0 0 18px #ffffff8c}.dark .loading-spinner{border:6px solid rgba(180,200,255,.2);border-top:6px solid #c7d2fe}.demo-animation{margin-top:20px;display:flex;justify-content:center}.phone{width:220px;height:420px;border-radius:32px;background:var(--surface);border:1.5px solid #000;box-shadow:var(--shadow-md);padding:16px;position:relative;animation:floatPhone 5s ease-in-out infinite}@keyframes floatPhone{0%,to{transform:translateY(0)}50%{transform:translateY(-10px)}}.screen{width:100%;height:100%;border-radius:24px;background:var(--bg);overflow:hidden;position:relative;padding:20px;display:flex;flex-direction:column;justify-content:flex-start;align-items:center;gap:12px}.question-card{width:100%;padding:12px 16px;border-radius:12px;box-shadow:0 4px 12px #00000014;display:flex;flex-direction:column;justify-content:center;align-items:center;position:relative;background:#fffffff2;transition:background .3s ease}[data-theme=dark] .question-card{background:#0f172ae6;box-shadow:0 4px 12px #0006}.question{color:var(--text-primary);font-size:18px;font-weight:600;line-height:1.4;text-align:center;word-break:break-word;margin:0;animation:fadeIn 1s ease forwards}[data-theme=dark] .question{color:#e2e8f0}@keyframes fadeIn{0%{opacity:0;transform:translateY(10px)}to{opacity:1;transform:translateY(0)}}.scan-line{position:absolute;left:0;right:0;height:4px;background:linear-gradient(to right,transparent,var(--accent),transparent);box-shadow:0 0 12px var(--accent-glow);animation:scanMove 2.5s ease-in-out infinite}@keyframes scanMove{0%{top:-5%;opacity:0}10%{opacity:1}50%{top:100%;opacity:1}60%{opacity:0}to{top:105%;opacity:0}}.screen:after{content:"";position:absolute;inset:0;background:#fff;opacity:0;animation:flash 4s infinite;transition:background .3s ease}[data-theme=dark] .screen:after{background:#ffffffd9}@keyframes flash{0%,85%,to{opacity:0}90%{opacity:.8}92%{opacity:0}}.solution-area{width:100%;max-width:720px;padding:2rem;border-radius:var(--radius);background:var(--surface);color:var(--text-primary);box-shadow:var(--shadow-md);border:1px solid var(--border);line-height:1.8;font-size:1.08rem;transition:background .3s ease,color .3s ease,box-shadow .3s ease}[data-theme=dark] .solution-area{background:#111827;border:1px solid rgba(255,255,255,.06);box-shadow:0 12px 40px #0009}.solution-area p{margin-bottom:1.2rem}.solution-area h3,.solution-area h4{margin:1.6rem 0 .8rem;font-weight:600;color:#1e40af}.katex{font-size:1.18em}.katex-display{margin:1.6rem 0;text-align:center;overflow-x:auto;padding:.3rem 0}.katex-inline{vertical-align:-.2em}.katex .mfrac .frac-line{border-bottom-width:.06em}@media(max-width:768px){.solution-area{font-size:1rem;padding:1rem}.katex{font-size:1.12em}}.katex-display,.katex{transition:opacity .2s ease,transform .2s ease}.auth-container{padding:2rem;max-width:420px;margin:4rem auto;background:var(--surface);border-radius:var(--radius);box-shadow:var(--shadow-md);color:var(--text-primary)}.auth-container h1{text-align:center;margin-bottom:1.5rem;font-size:2rem;color:var(--text-primary)}.auth-container p{text-align:center;margin-bottom:2rem;color:var(--text-secondary)}.input-field{width:100%;padding:12px;margin-bottom:1rem;border:1px solid var(--border);border-radius:6px;font-size:16px;background:var(--surface);color:var(--text-primary);transition:border-color .3s}.input-field:focus{outline:none;border-color:var(--accent);box-shadow:0 0 0 3px var(--accent-glow)}.btn-primary{width:100%;padding:12px;background:var(--accent);color:#fff;border:none;border-radius:6px;font-size:16px;cursor:pointer;font-weight:500;transition:background .3s}.btn-primary:hover:not(:disabled){background:var(--accent-dark)}.btn-google{width:100%;padding:12px;background:var(--accent);color:#fff;border:none;border-radius:6px;font-size:16px;font-weight:500;cursor:pointer;display:flex;align-items:center;justify-content:center;gap:10px;transition:background .3s ease;margin-bottom:1.5rem}.btn-google:hover:not(:disabled){background:var(--accent-dark)}.btn-google:disabled{opacity:.6;cursor:not-allowed}.divider{text-align:center;margin:1.5rem 0;color:var(--text-secondary);font-size:14px}.error-message{color:#ef4444;text-align:center;margin:1rem 0;font-size:14px}.success-message{color:#10b981;text-align:center;margin:1rem 0;font-size:14px}.auth-link{text-align:center;margin-top:2rem;font-size:14px;color:var(--text-secondary)}.auth-link a{color:var(--accent);text-decoration:none;font-weight:500}.auth-link.small{font-size:13px;margin-top:1rem}.password-wrapper{position:relative;margin-bottom:1rem}.show-password-btn{position:absolute;right:12px;top:50%;transform:translateY(-50%);background:none;border:none;cursor:pointer;font-size:14px;color:var(--text-secondary)}.signin-btn{width:100%;margin-top:16px;padding:12px;background:var(--accent);color:#fff;border:none;border-radius:6px;font-size:16px;cursor:pointer;font-weight:500;transition:background .3s ease}.signin-btn:hover{background:var(--accent-dark)}.container{width:100%;max-width:1200px;margin:0 auto;padding-left:clamp(1.25rem,4vw,2rem);padding-right:clamp(1.25rem,4vw,2rem);text-align:center}.hero{padding-top:clamp(5rem,10vw,8rem);padding-bottom:clamp(4rem,8vw,6rem)}.hero-title{font-weight:900;font-size:clamp(2.8rem,6vw,5rem);line-height:1.05;letter-spacing:-.05em;color:var(--text-primary);margin-bottom:1.5rem;text-align:center}.hero-accent{color:var(--text-primary);position:relative;display:inline-block}.hero-subtitle{max-width:720px;margin:0 auto;font-size:clamp(1.1rem,2vw,1.4rem);line-height:1.75;color:var(--text-secondary);text-align:center}.section-heading{font-weight:800;font-size:clamp(2rem,3.5vw,2.8rem);line-height:1.08;letter-spacing:-.045em;margin-top:clamp(5rem,8vw,7rem);margin-bottom:1.5rem;text-align:center}.cta-heading{font-weight:800;font-size:clamp(2.4rem,4vw,3.4rem);line-height:1.05;letter-spacing:-.045em;margin-top:clamp(6rem,9vw,8rem);margin-bottom:2rem;text-align:center}.gallery-text,.post-animation-text{max-width:800px;margin:0 auto;font-size:clamp(1.1rem,1.4vw,1.35rem);line-height:1.75;letter-spacing:-.01em;text-align:center;color:var(--text-primary)}.gallery-text{margin-bottom:clamp(2rem,3.5vw,2.8rem)}.post-animation-text{margin-bottom:clamp(2.2rem,4vw,3rem)}.camera-container{display:flex;justify-content:center;align-items:center;gap:1.4rem;margin-top:.5rem;margin-bottom:1.5rem}.gallery-btn,.gallery-button{display:none}@media(max-width:768px){.camera-container{flex-direction:column;gap:.8rem;margin-top:.4rem;margin-bottom:1.3rem}.gallery-btn,.gallery-button{display:inline-flex;align-items:center;justify-content:center;margin-top:0}.gallery-btn svg,.gallery-button svg{width:28px;height:28px}}.badge{display:inline-flex;align-items:center;justify-content:center;padding:.35rem .75rem;border-radius:var(--radius-pill);font-size:.875rem;font-weight:500;line-height:1.2;background-color:var(--surface);color:var(--text-primary);border:1px solid var(--border);transition:all .25s var(--transition);white-space:nowrap}.badge:hover{transform:translateY(-2px);box-shadow:var(--shadow-sm)}.badge-accent{background-color:var(--accent);color:#fff;border-color:var(--accent-dark);font-weight:600}.dark .badge{background-color:var(--surface);color:var(--text-primary);border-color:var(--border)}.dark .badge-accent{background-color:var(--accent);color:#fff;border-color:var(--accent-dark)}.subject-badges{display:flex;justify-content:center;flex-wrap:wrap;gap:.75rem;margin-top:1.5rem;margin-bottom:1rem}.footer{margin-top:auto;padding:5rem 1.5rem 3rem;text-align:center;border-top:1px solid rgba(203,213,225,.6);background:linear-gradient(to top,var(--surface),var(--bg))}.footer-links{display:flex;justify-content:center;align-items:center;gap:2rem;margin-bottom:1.75rem}.footer-links a{font-size:.95rem;font-weight:600;text-decoration:none;color:var(--text-secondary);transition:all .25s ease;white-space:nowrap}.footer-links a:hover{color:var(--accent);transform:translateY(-2px)}.footer-copyright{font-size:.875rem;opacity:.75;letter-spacing:.02em}@media(max-width:640px){.footer{padding:3.5rem 1rem 2.5rem}.footer-links{gap:1.25rem;flex-wrap:nowrap}.footer-links a{font-size:.9rem}}.legal-page{min-height:100vh;background:var(--bg);color:var(--text-primary);padding:6rem 1.5rem 4rem}.legal-container{max-width:900px;margin:0 auto}.legal-page h1{font-size:clamp(2.2rem,5vw,3.5rem);font-weight:800;margin-bottom:.5rem;color:var(--text-primary)}.last-updated{font-size:.95rem;color:var(--text-secondary);margin-bottom:3rem}.legal-page h2{font-size:1.75rem;font-weight:700;margin:2.5rem 0 1rem;color:var(--text-primary)}.legal-page p{font-size:1.1rem;line-height:1.8;margin-bottom:1.5rem;color:var(--text-secondary)}.legal-page ul{list-style:disc;padding-left:1.5rem;margin-bottom:1.5rem}.legal-page li{font-size:1.1rem;line-height:1.7;margin-bottom:.75rem;color:var(--text-secondary)}.upgrade-btn{background:linear-gradient(135deg,var(--accent),var(--accent-dark));color:#fff;border:none;box-shadow:0 8px 25px #3b82f659;transition:all .25s ease}.upgrade-btn svg{width:16px;height:16px;background:#ffffff2e;border-radius:40%;padding:8px;box-sizing:content-box;display:flex;align-items:center;justify-content:center;transition:all .25s ease}.upgrade-btn:hover{transform:translateY(-2px);box-shadow:0 14px 38px #3b82f673}.upgrade-btn:hover svg{background:#ffffff47}.upgrade-overlay{position:fixed;inset:0;background:#0f172ab8;-webkit-backdrop-filter:blur(10px);backdrop-filter:blur(10px);z-index:5000;display:flex;align-items:center;justify-content:center;padding:1.2rem}.upgrade-modal{position:relative;width:100%;max-width:980px;max-height:92vh;overflow-y:auto;background:var(--surface);border-radius:22px;padding:clamp(2rem,4vw,3rem);border:1px solid var(--border);box-shadow:0 40px 100px #0000008c;animation:modalFade .35s ease}@keyframes modalFade{0%{opacity:0;transform:translateY(20px)}to{opacity:1;transform:translateY(0)}}.upgrade-close{position:absolute;top:1.2rem;right:1.2rem;width:38px;height:38px;border-radius:50%;border:none;background:#ffffff0f;cursor:pointer;transition:.25s ease}.upgrade-close:hover{background:var(--accent);color:#fff;transform:rotate(90deg)}.upgrade-header{text-align:center;max-width:680px;margin:0 auto 3rem}.upgrade-header h2{font-size:clamp(1.8rem,4vw,2.4rem);font-weight:800;margin-bottom:1rem;letter-spacing:-.4px}.upgrade-header p{font-size:1.05rem;color:var(--text-secondary);line-height:1.6}.pricing-grid{display:grid;grid-template-columns:1fr;gap:2rem;max-width:1100px;margin:0 auto}@media(min-width:768px){.pricing-grid{grid-template-columns:repeat(3,1fr)}}.pricing-card{position:relative;border-radius:20px;padding:2.2rem 1.8rem;text-align:center;background:linear-gradient(180deg,#ffffff0d,#ffffff05);-webkit-backdrop-filter:blur(6px);backdrop-filter:blur(6px);border:1px solid rgba(255,255,255,.1);box-shadow:0 15px 35px #00000059,inset 0 1px #ffffff0f;transition:all .35s ease}.pricing-card:hover{transform:translateY(-8px);box-shadow:0 25px 55px #00000073,inset 0 1px #ffffff14}.pricing-card:before{content:"";position:absolute;inset:0;border-radius:20px;padding:1px;background:linear-gradient(135deg,rgba(255,255,255,.15),transparent 60%);-webkit-mask:linear-gradient(#fff 0 0) content-box,linear-gradient(#fff 0 0);-webkit-mask-composite:xor;pointer-events:none}.pricing-card.pro{border:2px solid var(--accent);box-shadow:0 20px 60px rgba(var(--accent-rgb),.35),0 15px 35px #0006;transform:scale(1.05)}.pricing-card.pro:hover{transform:scale(1.07)}.pricing-card.premium .plan-cta{background:transparent;border:2px solid var(--accent);color:var(--accent)}.pricing-card.premium .plan-cta:hover{background:var(--accent);color:#fff}.popular-badge{position:absolute;top:-14px;left:50%;transform:translate(-50%);background:var(--accent);color:#fff;font-size:.75rem;font-weight:700;letter-spacing:.5px;padding:.4rem 1.1rem;border-radius:999px;box-shadow:0 8px 20px rgba(var(--accent-rgb),.35);white-space:nowrap;display:inline-block}@media(max-width:480px){.popular-badge{font-size:.7rem;padding:.35rem .9rem}}.plan-name{font-size:1.4rem;font-weight:700;margin-bottom:.6rem}.plan-price{font-size:2.3rem;font-weight:800;color:var(--accent);margin-bottom:.5rem}.plan-price span{font-size:.9rem;color:var(--text-secondary)}.plan-desc{font-size:1.05rem;font-weight:700;margin-bottom:.6rem;color:var(--text-primary)}.plan-detail{font-size:.95rem;color:var(--text-secondary);line-height:1.6;margin-bottom:1.6rem;max-width:280px;margin-left:auto;margin-right:auto}.plan-cta{width:100%;padding:1rem;border-radius:14px;font-weight:600;font-size:1rem;cursor:pointer;border:none;transition:.25s ease}.plan-cta.primary{background:linear-gradient(135deg,var(--accent),var(--accent-dark));color:#fff;box-shadow:0 10px 25px rgba(var(--accent-rgb),.4)}.plan-cta.primary:hover{transform:translateY(-3px);box-shadow:0 16px 35px rgba(var(--accent-rgb),.5)}.plan-cta.disabled{background:#ffffff14;color:var(--text-secondary);cursor:not-allowed}.upgrade-page{min-height:100vh;background:var(--bg);padding:clamp(3rem,6vw,6rem) 1.5rem;display:flex;flex-direction:column;align-items:center}.upgrade-faq{margin-top:4rem;text-align:center;max-width:700px;color:var(--text-secondary)}.upgrade-faq h3{font-size:1.4rem;margin-bottom:1rem}@media(max-width:768px){.pricing-card{padding:1.8rem 1.4rem}.plan-price{font-size:1.9rem}.plan-desc{font-size:1rem}.plan-detail{font-size:.9rem}.pricing-card.pro{transform:none}.plan-cta{padding:.9rem}}.solution-area{padding:1.6rem 1.3rem;background:var(--surface);border-radius:var(--radius);box-shadow:0 4px 18px #00000012;transition:box-shadow .3s ease}.solution-area p,.solution-area div:not(.katex-display),.solution-area .solution-text,.solution-area .explanation{font-size:.97rem;line-height:1.7;margin:.65rem 0 1.1rem;color:var(--text-secondary);font-weight:400;overflow-wrap:break-word;word-wrap:break-word;-webkit-hyphens:auto;hyphens:auto;white-space:pre-wrap;word-break:normal}.solution-area .katex-display{display:block!important;font-size:1.12em;font-weight:500;color:var(--text-primary);margin:1.4rem 0 1.6rem;padding:1.2rem 1.4rem;border-left:5px solid var(--accent);background:var(--surface-light);border-radius:var(--radius);box-shadow:0 6px 22px #00000017,0 1px 6px #0000000d;position:relative;overflow-x:auto;transition:all .3s ease}.solution-area .katex-display:before{content:"";position:absolute;left:-4px;top:0;bottom:0;width:12px;background:var(--accent);opacity:.18;filter:blur(10px);border-radius:6px;z-index:-1}.solution-area .katex-display:hover{transform:translateY(-3px);box-shadow:0 12px 32px #00000024,0 2px 10px #0000000f}.solution-area .katex{font-size:1.05em;font-weight:500;color:var(--text-primary);vertical-align:baseline;margin:0 .12em;line-height:1}@media(max-width:768px){.solution-area{padding:1.3rem 1rem}.solution-area .katex-display{margin:1.2rem 0 1.4rem;padding:1rem 1.1rem;box-shadow:0 5px 16px #0000001a}.solution-area .katex-display:before{left:-3px;width:10px;filter:blur(8px)}.solution-area p,.solution-area div:not(.katex-display){margin:.5rem 0 .9rem!important}}.solution-area .katex-inline,.solution-area p .katex,.solution-area .katex:not(.katex-display){font-size:1.05em!important;font-weight:500!important;vertical-align:baseline!important;margin:0 .15em!important;line-height:1.1!important;display:inline!important;white-space:nowrap!important}.solution-area p{white-space:pre-wrap!important;overflow-wrap:break-word!important;-webkit-hyphens:auto!important;hyphens:auto!important}.solution-area p .katex-display{display:inline-block!important;margin:.2em .4em!important;padding:0!important;background:transparent!important}.solution-area .katex+span,.solution-area .katex+text,.solution-area .katex+p{margin-left:.1em!important}.solution-area .katex-html{white-space:nowrap!important;display:inline-flex!important;align-items:baseline!important}.snaprium-brand{display:flex;align-items:center;gap:8px;font-size:1.5rem;font-weight:700;color:var(--text-primary)}.snaprium-logo{border-radius:6px;object-fit:contain}.question-card .question{font-size:.875rem;font-weight:600;color:var(--text-primary);white-space:nowrap;overflow-x:auto;text-align:center}.question-card{display:flex;justify-content:center;align-items:center;height:60px}.btn-primary{background-color:var(--text-primary);color:var(--surface)}.btn-primary:hover:not(:disabled){background-color:var(--accent)}.btn-primary:disabled{opacity:.6;cursor:not-allowed}.auth-container .error-message{color:#dc2626!important;font-weight:600;margin-top:.5rem;display:block}.plan-badge{display:flex;align-items:center;font-size:.92rem;font-weight:700;padding:.4rem 1rem;border-radius:999px;color:#fff;text-transform:uppercase;letter-spacing:.6px;box-shadow:0 2px 10px #0000002e;transition:all .2s ease;z-index:10;margin-right:.8rem}.plan-badge.pro{background:linear-gradient(135deg,#10b981,#059669)}.plan-badge.premium{background:linear-gradient(135deg,#8b5cf6,#7c3aed)}@media(max-width:768px){.plan-badge{font-size:.82rem;padding:.35rem .85rem;margin-right:.6rem}.snaprium-header-inner{padding:0 1rem;gap:.5rem}.snaprium-brand{font-size:1.3rem;flex-shrink:0}.snaprium-logo{width:26px!important;height:26px!important}}@media(min-width:769px){.plan-badge:hover{transform:scale(1.04);box-shadow:0 4px 14px #0000003d}}.header-right{display:flex;align-items:center;gap:.8rem}.image-wrapper{position:relative;width:100%;max-width:725px;margin:1.2rem auto;overflow:hidden;border-radius:16px;background:#000;box-shadow:0 8px 28px #0003}.result-image{display:block;width:100%;height:auto;max-height:38vh;object-fit:contain;object-position:center;transition:transform .3s ease}.image-wrapper:hover .result-image{transform:scale(1.015)}@media(max-width:768px){.image-wrapper{max-width:100%;max-height:32vh;margin:.9rem auto;border-radius:12px}.result-image{max-height:32vh}}@media(max-width:480px){.image-wrapper{max-height:30vh;border-radius:10px}.result-image{max-height:30vh}}.welcome-modal-overlay{position:fixed;inset:0;background:#000000bf;z-index:4000;display:flex;justify-content:center;align-items:center;padding:1rem;backdrop-filter:blur(8px);-webkit-backdrop-filter:blur(8px)}.welcome-modal-content{position:relative;background:var(--surface);border-radius:16px;box-shadow:0 20px 60px #0006;max-width:420px;width:100%;padding:2.5rem 2rem;color:var(--text-primary);text-align:center;overflow:hidden}.welcome-close-btn{position:absolute;top:1rem;right:1rem;background:transparent;border:none;font-size:2rem;color:var(--text-secondary);cursor:pointer;line-height:1;padding:0;transition:color .2s ease}.welcome-close-btn:hover{color:var(--text-primary)}.welcome-icon{font-size:4.5rem;margin-bottom:1.2rem;line-height:1}.welcome-modal-content h2{font-size:2.2rem;font-weight:700;margin:0 0 1rem;color:var(--text-primary)}.welcome-text{font-size:1.25rem;font-weight:600;margin:0 0 .8rem;color:var(--text-primary)}.welcome-detail{font-size:1.05rem;line-height:1.5;margin:0 0 1.8rem;color:var(--text-secondary)}.welcome-cta{background:var(--accent);color:#fff;border:none;padding:1rem 2.2rem;font-size:1.1rem;font-weight:600;border-radius:12px;cursor:pointer;transition:all .25s ease;box-shadow:0 4px 16px #0003;margin:1.5rem 0 1.2rem}.welcome-cta:hover{background:var(--accent-dark);transform:translateY(-2px);box-shadow:0 8px 24px #00000040}.welcome-note{font-size:.95rem;color:var(--text-tertiary);margin:0}[data-theme=dark] .welcome-modal-content{background:var(--surface-dark);box-shadow:0 20px 60px #0009}[data-theme=dark] .welcome-close-btn{color:var(--text-secondary)}[data-theme=dark] .welcome-close-btn:hover,[data-theme=dark] .welcome-text,[data-theme=dark] .welcome-detail{color:var(--text-primary)}@media(max-width:480px){.welcome-modal-content{padding:2rem 1.5rem;border-radius:12px}.welcome-icon{font-size:3.8rem}.welcome-modal-content h2{font-size:1.9rem}.welcome-text{font-size:1.15rem}.welcome-detail{font-size:.98rem}.welcome-cta{padding:.9rem 2rem;font-size:1rem}}.final-answer{position:relative;padding:2rem 1.5rem 2.5rem;margin-bottom:2.2rem;border-radius:var(--radius-lg, 1.25rem);background:var(--surface);border:1px solid var(--border);box-shadow:var(--shadow-xl);text-align:center;overflow:hidden;transition:transform .2s ease,box-shadow .2s ease}.final-answer:hover{transform:translateY(-2px);box-shadow:var(--shadow-2xl)}.final-answer:before{content:"";position:absolute;inset:0;background:linear-gradient(135deg,var(--accent-glow),transparent 70%);opacity:.45;z-index:-1;pointer-events:none}.final-answer h3{margin:0 0 1.25rem;font-size:1.6rem;font-weight:800;color:var(--text-secondary);letter-spacing:-.4px}.final-answer .katex,.final-answer .katex-display,.final-answer .katex-display-final{font-size:2.25em!important;line-height:1.4;color:var(--text-primary);font-weight:500}.final-answer .katex-display,.final-answer .katex-display-final{display:block!important;text-align:center!important;margin:1.25rem auto!important;padding:1rem 1.25rem;max-width:100%;overflow-x:auto;overflow-y:hidden;-webkit-overflow-scrolling:touch;border-radius:1rem;background:rgba(var(--accent-rgb),.06);border:1px solid rgba(var(--accent-rgb),.15);box-shadow:inset 0 2px 8px #0000000f}.final-answer .katex-display .katex-html,.final-answer .katex-display-final .katex-html{display:inline-flex!important;align-items:center;justify-content:center;min-height:3rem;text-align:center}.final-answer .katex .mord,.final-answer .katex .mbin,.final-answer .katex .mrel,.final-answer .katex .mop{font-weight:600}@media(max-width:768px){.final-answer{padding:1.6rem 1.2rem 2rem}.final-answer h3{font-size:1.4rem}.final-answer .katex,.final-answer .katex-display,.final-answer .katex-display-final{font-size:1.85em!important}.final-answer .katex-display,.final-answer .katex-display-final{padding:.9rem 1rem;margin:1.1rem auto}}button.w-full.py-3\.5{padding:1rem 1.5rem;font-size:1.1rem;font-weight:700;border-radius:var(--radius);background:var(--accent);color:#fff;box-shadow:0 4px 14px var(--accent-glow);transition:all .25s ease}button.w-full.py-3\.5:hover{background:var(--accent-dark);transform:translateY(-2px);box-shadow:0 8px 24px var(--accent-glow)}button.w-full.py-3\.5:active{transform:translateY(0);box-shadow:0 4px 12px var(--accent-glow)}.steps-section{overflow:hidden;transition:max-height .55s cubic-bezier(.34,1.56,.64,1),opacity .4s ease}.steps-section>div{padding:.5rem 0 2.5rem}.steps-section h4{font-size:1.45rem;font-weight:700;color:var(--text-primary);margin-bottom:1.3rem;letter-spacing:-.25px}.feedback-bar{margin-top:2.5rem;display:flex;justify-content:center;gap:1.2rem}.feedback-btn{display:flex;align-items:center;gap:.5rem;padding:.75rem 1.5rem;font-size:.95rem;font-weight:600;border-radius:var(--radius-pill, 9999px);border:1.5px solid var(--border);background:transparent;color:var(--text-secondary);transition:all .25s ease}.feedback-btn:hover{transform:translateY(-2px);border-color:var(--accent);color:var(--accent);box-shadow:0 6px 20px var(--accent-glow)}.feedback-btn.active{background:var(--accent);color:#fff;border-color:var(--accent);box-shadow:0 8px 28px var(--accent-glow);transform:translateY(-1px)}[data-theme=dark] .feedback-btn{border-color:#ffffff1f}[data-theme=dark] .feedback-btn:hover,[data-theme=dark] .feedback-btn.active{box-shadow:0 8px 32px #60a5fa4d}.solution-area .katex-display{margin:1.6rem 0;padding:1.3rem 1.6rem;border-left:5px solid var(--accent);background:rgba(var(--accent-rgb),.05);border-radius:var(--radius);box-shadow:0 6px 22px #00000012;transition:all .3s ease}.solution-area .katex-display:hover{transform:translateY(-3px);box-shadow:0 12px 36px #0000001f}.solution-area .katex{font-size:1.1em;color:var(--text-primary)}@media(max-width:768px){.feedback-bar{flex-direction:column;gap:.9rem}.feedback-btn{width:100%;justify-content:center}.steps-section h4{font-size:1.35rem}}.katex-display-final-container{overflow-x:auto;overflow-y:hidden;padding-bottom:.5em;scrollbar-width:thin;-ms-overflow-style:auto;position:relative}.katex-display-final-container:after{content:"";position:absolute;right:0;top:0;width:30px;height:100%;pointer-events:none;background:linear-gradient(to left,rgba(255,255,255,.5),transparent)}.katex-display-final{font-weight:700!important;margin:1em 0!important;font-size:64px;line-height:1.2!important;white-space:nowrap}.katex-display-final .mfrac{font-size:1.05em!important;display:inline-block!important}.katex-display-final .mfrac .frac-line{height:4px!important}.katex-display-final .sqrt-line{border-top-width:4px!important}.katex-display-final .bigop{font-size:1em!important}.feedback-bar{width:100%;margin-top:2rem;display:flex;flex-direction:row;justify-content:center;align-items:center;gap:.75rem;flex-wrap:nowrap}.feedback-btn{display:inline-flex;align-items:center;justify-content:center;gap:.45rem;padding:.55rem 1.1rem;font-size:.85rem;font-weight:600;border-radius:var(--radius-pill);border:1.5px solid var(--border);background:transparent;color:var(--text-secondary);cursor:pointer;white-space:nowrap;transition:transform .18s ease,border-color .18s ease,color .18s ease,box-shadow .18s ease}.feedback-btn:hover{transform:translateY(-2px);border-color:var(--accent);color:var(--accent);box-shadow:0 6px 16px var(--accent-glow)}.feedback-btn.active{background:var(--accent);color:#fff;border-color:var(--accent);box-shadow:0 6px 20px var(--accent-glow)}@media(max-width:480px){.feedback-bar{justify-content:center;gap:.6rem}.feedback-btn{flex:1 1 auto;max-width:180px;padding:.5rem .8rem;font-size:.8rem}}[data-theme=dark] .feedback-btn{border-color:#ffffff14;color:var(--text-secondary)}[data-theme=dark] .feedback-btn:hover{color:var(--accent);border-color:var(--accent)}[data-theme=dark] .feedback-btn.active{background:var(--accent);color:#fff}.step-by-step-content .inline-katex{font-size:1.09em;line-height:1;vertical-align:baseline!important;display:inline-block;margin:0 .09em}.katex{font-size:1.09em!important;vertical-align:baseline!important;line-height:1.14!important;font-weight:450}.katex .msupsub,.katex .msupsub .vlist-t{font-size:.88em!important;vertical-align:.08em!important;margin-left:.04em;margin-right:.05em}.katex .mroot,.katex .sqrt{vertical-align:-.22em!important;margin-right:.09em}.katex .sqrt>.vlist-r,.katex .mroot>.vlist-r{margin-top:-.08em!important}.katex .mfrac{vertical-align:-.21em!important}.katex .mfrac .frac-line{border-width:1.3px!important}.katex .mbin,.katex .mrel,.katex .mord+.mbin,.katex .mord+.mrel{margin:0 .12em}.step-by-step-content p,.step-by-step-content li{line-height:1.82!important;margin-bottom:1.15em}.step-by-step-content p:has(.katex),.step-by-step-content li:has(.katex){min-height:2.1em;line-height:1.85!important}.solution-demo{margin-top:clamp(4rem,7vw,6rem);text-align:center}.solution-card{margin:2rem auto;max-width:520px;padding:2rem;border-radius:var(--radius);background:var(--surface);border:1px solid var(--border);box-shadow:var(--shadow-md)}.solution-question{font-size:1.2rem;font-weight:600;margin-bottom:1.5rem;color:var(--text-primary)}.solution-steps{display:flex;flex-direction:column;gap:.8rem}.solution-step{padding:.6rem .8rem;border-radius:8px;background:var(--surface-mobile);border:1px solid var(--border);font-size:.95rem;opacity:0;transform:translateY(10px);animation:stepReveal 6s infinite}.solution-final{font-weight:600;color:var(--accent)}.step1{animation-delay:.5s}.step2{animation-delay:2s}.step3{animation-delay:3.5s}.step4{animation-delay:5s}@keyframes stepReveal{0%{opacity:0;transform:translateY(10px)}15%{opacity:1;transform:translateY(0)}85%{opacity:1}to{opacity:0}}.step-title{font-weight:600;margin-bottom:4px}.step-math{font-family:Times New Roman,serif;font-size:1rem;color:var(--text-secondary)}.solution-card{background-color:var(--surface);border:1px solid var(--border);border-radius:1rem;padding:1.5rem 2rem;box-shadow:0 8px 24px #00000014;transition:all .3s ease}.dark .solution-card{background-color:#1a202c;border-color:#00000040;box-shadow:0 8px 24px #0000008c}.solution-card:hover{transform:translateY(-2px);box-shadow:0 12px 32px #0000001f}.solution-step,.solution-final{text-align:left;margin-bottom:1.5rem}.step-title{font-weight:600;font-size:1.1rem;margin-bottom:.5rem;color:var(--text-primary);text-align:left}.step-math{font-size:1.25rem;line-height:1.4;color:var(--text-primary);text-align:center}.frac{display:inline-block;text-align:center;vertical-align:middle;position:relative;top:-2px;left:3px}.frac .top{display:block;border-bottom:1px solid currentColor;padding:0 4px;line-height:1.1}.frac .bottom{display:block;font-size:.85em;line-height:1.1}.inline-katex{display:inline-block;vertical-align:baseline;line-height:1.15}.katex-display{margin:1.4em 0!important;overflow-x:auto}.katex-display{margin:0!important}.katex-display>.katex{margin:0!important}.footer{margin-top:60px;padding:24px 16px;text-align:center;border-top:1px solid #eaeaea;background:#fff}.footer-links{display:flex;justify-content:center;align-items:center;flex-wrap:wrap;gap:10px;font-size:14px;margin-bottom:10px}.footer-links a{text-decoration:none;color:#555;font-weight:500;transition:color .2s ease}.footer-links a:hover{color:#111}.footer-separator{color:#aaa}.footer p{font-size:13px;color:#777;margin:0}@media(max-width:480px){.footer-links{gap:6px;font-size:13px}.footer-separator{display:none}.footer-links a{padding:4px 6px}}:root{--toastify-color-light: #fff;--toastify-color-dark: #121212;--toastify-color-info: #3498db;--toastify-color-success: #07bc0c;--toastify-color-warning: #f1c40f;--toastify-color-error: hsl(6, 78%, 57%);--toastify-color-transparent: rgba(255, 255, 255, .7);--toastify-icon-color-info: var(--toastify-color-info);--toastify-icon-color-success: var(--toastify-color-success);--toastify-icon-color-warning: var(--toastify-color-warning);--toastify-icon-color-error: var(--toastify-color-error);--toastify-container-width: fit-content;--toastify-toast-width: 320px;--toastify-toast-offset: 16px;--toastify-toast-top: max(var(--toastify-toast-offset), env(safe-area-inset-top));--toastify-toast-right: max(var(--toastify-toast-offset), env(safe-area-inset-right));--toastify-toast-left: max(var(--toastify-toast-offset), env(safe-area-inset-left));--toastify-toast-bottom: max(var(--toastify-toast-offset), env(safe-area-inset-bottom));--toastify-toast-background: #fff;--toastify-toast-padding: 14px;--toastify-toast-min-height: 64px;--toastify-toast-max-height: 800px;--toastify-toast-bd-radius: 6px;--toastify-toast-shadow: 0px 4px 12px rgba(0, 0, 0, .1);--toastify-font-family: sans-serif;--toastify-z-index: 9999;--toastify-text-color-light: #757575;--toastify-text-color-dark: #fff;--toastify-text-color-info: #fff;--toastify-text-color-success: #fff;--toastify-text-color-warning: #fff;--toastify-text-color-error: #fff;--toastify-spinner-color: #616161;--toastify-spinner-color-empty-area: #e0e0e0;--toastify-color-progress-light: linear-gradient(to right, #4cd964, #5ac8fa, #007aff, #34aadc, #5856d6, #ff2d55);--toastify-color-progress-dark: #bb86fc;--toastify-color-progress-info: var(--toastify-color-info);--toastify-color-progress-success: var(--toastify-color-success);--toastify-color-progress-warning: var(--toastify-color-warning);--toastify-color-progress-error: var(--toastify-color-error);--toastify-color-progress-bgo: .2}.Toastify__toast-container{z-index:var(--toastify-z-index);-webkit-transform:translate3d(0,0,var(--toastify-z-index));position:fixed;width:var(--toastify-container-width);box-sizing:border-box;color:#fff;display:flex;flex-direction:column}.Toastify__toast-container--top-left{top:var(--toastify-toast-top);left:var(--toastify-toast-left)}.Toastify__toast-container--top-center{top:var(--toastify-toast-top);left:50%;transform:translate(-50%);align-items:center}.Toastify__toast-container--top-right{top:var(--toastify-toast-top);right:var(--toastify-toast-right);align-items:end}.Toastify__toast-container--bottom-left{bottom:var(--toastify-toast-bottom);left:var(--toastify-toast-left)}.Toastify__toast-container--bottom-center{bottom:var(--toastify-toast-bottom);left:50%;transform:translate(-50%);align-items:center}.Toastify__toast-container--bottom-right{bottom:var(--toastify-toast-bottom);right:var(--toastify-toast-right);align-items:end}.Toastify__toast{--y: 0;position:relative;touch-action:none;width:var(--toastify-toast-width);min-height:var(--toastify-toast-min-height);box-sizing:border-box;margin-bottom:1rem;padding:var(--toastify-toast-padding);border-radius:var(--toastify-toast-bd-radius);box-shadow:var(--toastify-toast-shadow);max-height:var(--toastify-toast-max-height);font-family:var(--toastify-font-family);z-index:0;display:flex;flex:1 auto;align-items:center;word-break:break-word}@media only screen and (max-width:480px){.Toastify__toast-container{width:100vw;left:env(safe-area-inset-left);margin:0}.Toastify__toast-container--top-left,.Toastify__toast-container--top-center,.Toastify__toast-container--top-right{top:env(safe-area-inset-top);transform:translate(0)}.Toastify__toast-container--bottom-left,.Toastify__toast-container--bottom-center,.Toastify__toast-container--bottom-right{bottom:env(safe-area-inset-bottom);transform:translate(0)}.Toastify__toast-container--rtl{right:env(safe-area-inset-right);left:initial}.Toastify__toast{--toastify-toast-width: 100%;margin-bottom:0;border-radius:0}}.Toastify__toast-container[data-stacked=true]{width:var(--toastify-toast-width)}.Toastify__toast--stacked{position:absolute;width:100%;transform:translate3d(0,var(--y),0) scale(var(--s));transition:transform .3s}.Toastify__toast--stacked[data-collapsed] .Toastify__toast-body,.Toastify__toast--stacked[data-collapsed] .Toastify__close-button{transition:opacity .1s}.Toastify__toast--stacked[data-collapsed=false]{overflow:visible}.Toastify__toast--stacked[data-collapsed=true]:not(:last-child)>*{opacity:0}.Toastify__toast--stacked:after{content:"";position:absolute;left:0;right:0;height:calc(var(--g) * 1px);bottom:100%}.Toastify__toast--stacked[data-pos=top]{top:0}.Toastify__toast--stacked[data-pos=bot]{bottom:0}.Toastify__toast--stacked[data-pos=bot].Toastify__toast--stacked:before{transform-origin:top}.Toastify__toast--stacked[data-pos=top].Toastify__toast--stacked:before{transform-origin:bottom}.Toastify__toast--stacked:before{content:"";position:absolute;left:0;right:0;bottom:0;height:100%;transform:scaleY(3);z-index:-1}.Toastify__toast--rtl{direction:rtl}.Toastify__toast--close-on-click{cursor:pointer}.Toastify__toast-icon{margin-inline-end:10px;width:22px;flex-shrink:0;display:flex}.Toastify--animate{animation-fill-mode:both;animation-duration:.5s}.Toastify--animate-icon{animation-fill-mode:both;animation-duration:.3s}.Toastify__toast-theme--dark{background:var(--toastify-color-dark);color:var(--toastify-text-color-dark)}.Toastify__toast-theme--light,.Toastify__toast-theme--colored.Toastify__toast--default{background:var(--toastify-color-light);color:var(--toastify-text-color-light)}.Toastify__toast-theme--colored.Toastify__toast--info{color:var(--toastify-text-color-info);background:var(--toastify-color-info)}.Toastify__toast-theme--colored.Toastify__toast--success{color:var(--toastify-text-color-success);background:var(--toastify-color-success)}.Toastify__toast-theme--colored.Toastify__toast--warning{color:var(--toastify-text-color-warning);background:var(--toastify-color-warning)}.Toastify__toast-theme--colored.Toastify__toast--error{color:var(--toastify-text-color-error);background:var(--toastify-color-error)}.Toastify__progress-bar-theme--light{background:var(--toastify-color-progress-light)}.Toastify__progress-bar-theme--dark{background:var(--toastify-color-progress-dark)}.Toastify__progress-bar--info{background:var(--toastify-color-progress-info)}.Toastify__progress-bar--success{background:var(--toastify-color-progress-success)}.Toastify__progress-bar--warning{background:var(--toastify-color-progress-warning)}.Toastify__progress-bar--error{background:var(--toastify-color-progress-error)}.Toastify__progress-bar-theme--colored.Toastify__progress-bar--info,.Toastify__progress-bar-theme--colored.Toastify__progress-bar--success,.Toastify__progress-bar-theme--colored.Toastify__progress-bar--warning,.Toastify__progress-bar-theme--colored.Toastify__progress-bar--error{background:var(--toastify-color-transparent)}.Toastify__close-button{color:#fff;position:absolute;top:6px;right:6px;background:transparent;outline:none;border:none;padding:0;cursor:pointer;opacity:.7;transition:.3s ease;z-index:1}.Toastify__toast--rtl .Toastify__close-button{left:6px;right:unset}.Toastify__close-button--light{color:#000;opacity:.3}.Toastify__close-button>svg{fill:currentColor;height:16px;width:14px}.Toastify__close-button:hover,.Toastify__close-button:focus{opacity:1}@keyframes Toastify__trackProgress{0%{transform:scaleX(1)}to{transform:scaleX(0)}}.Toastify__progress-bar{position:absolute;bottom:0;left:0;width:100%;height:100%;z-index:1;opacity:.7;transform-origin:left}.Toastify__progress-bar--animated{animation:Toastify__trackProgress linear 1 forwards}.Toastify__progress-bar--controlled{transition:transform .2s}.Toastify__progress-bar--rtl{right:0;left:initial;transform-origin:right;border-bottom-left-radius:initial}.Toastify__progress-bar--wrp{position:absolute;overflow:hidden;bottom:0;left:0;width:100%;height:5px;border-bottom-left-radius:var(--toastify-toast-bd-radius);border-bottom-right-radius:var(--toastify-toast-bd-radius)}.Toastify__progress-bar--wrp[data-hidden=true]{opacity:0}.Toastify__progress-bar--bg{opacity:var(--toastify-color-progress-bgo);width:100%;height:100%}.Toastify__spinner{width:20px;height:20px;box-sizing:border-box;border:2px solid;border-radius:100%;border-color:var(--toastify-spinner-color-empty-area);border-right-color:var(--toastify-spinner-color);animation:Toastify__spin .65s linear infinite}@keyframes Toastify__bounceInRight{0%,60%,75%,90%,to{animation-timing-function:cubic-bezier(.215,.61,.355,1)}0%{opacity:0;transform:translate3d(3000px,0,0)}60%{opacity:1;transform:translate3d(-25px,0,0)}75%{transform:translate3d(10px,0,0)}90%{transform:translate3d(-5px,0,0)}to{transform:none}}@keyframes Toastify__bounceOutRight{20%{opacity:1;transform:translate3d(-20px,var(--y),0)}to{opacity:0;transform:translate3d(2000px,var(--y),0)}}@keyframes Toastify__bounceInLeft{0%,60%,75%,90%,to{animation-timing-function:cubic-bezier(.215,.61,.355,1)}0%{opacity:0;transform:translate3d(-3000px,0,0)}60%{opacity:1;transform:translate3d(25px,0,0)}75%{transform:translate3d(-10px,0,0)}90%{transform:translate3d(5px,0,0)}to{transform:none}}@keyframes Toastify__bounceOutLeft{20%{opacity:1;transform:translate3d(20px,var(--y),0)}to{opacity:0;transform:translate3d(-2000px,var(--y),0)}}@keyframes Toastify__bounceInUp{0%,60%,75%,90%,to{animation-timing-function:cubic-bezier(.215,.61,.355,1)}0%{opacity:0;transform:translate3d(0,3000px,0)}60%{opacity:1;transform:translate3d(0,-20px,0)}75%{transform:translate3d(0,10px,0)}90%{transform:translate3d(0,-5px,0)}to{transform:translateZ(0)}}@keyframes Toastify__bounceOutUp{20%{transform:translate3d(0,calc(var(--y) - 10px),0)}40%,45%{opacity:1;transform:translate3d(0,calc(var(--y) + 20px),0)}to{opacity:0;transform:translate3d(0,-2000px,0)}}@keyframes Toastify__bounceInDown{0%,60%,75%,90%,to{animation-timing-function:cubic-bezier(.215,.61,.355,1)}0%{opacity:0;transform:translate3d(0,-3000px,0)}60%{opacity:1;transform:translate3d(0,25px,0)}75%{transform:translate3d(0,-10px,0)}90%{transform:translate3d(0,5px,0)}to{transform:none}}@keyframes Toastify__bounceOutDown{20%{transform:translate3d(0,calc(var(--y) - 10px),0)}40%,45%{opacity:1;transform:translate3d(0,calc(var(--y) + 20px),0)}to{opacity:0;transform:translate3d(0,2000px,0)}}.Toastify__bounce-enter--top-left,.Toastify__bounce-enter--bottom-left{animation-name:Toastify__bounceInLeft}.Toastify__bounce-enter--top-right,.Toastify__bounce-enter--bottom-right{animation-name:Toastify__bounceInRight}.Toastify__bounce-enter--top-center{animation-name:Toastify__bounceInDown}.Toastify__bounce-enter--bottom-center{animation-name:Toastify__bounceInUp}.Toastify__bounce-exit--top-left,.Toastify__bounce-exit--bottom-left{animation-name:Toastify__bounceOutLeft}.Toastify__bounce-exit--top-right,.Toastify__bounce-exit--bottom-right{animation-name:Toastify__bounceOutRight}.Toastify__bounce-exit--top-center{animation-name:Toastify__bounceOutUp}.Toastify__bounce-exit--bottom-center{animation-name:Toastify__bounceOutDown}@keyframes Toastify__zoomIn{0%{opacity:0;transform:scale3d(.3,.3,.3)}50%{opacity:1}}@keyframes Toastify__zoomOut{0%{opacity:1}50%{opacity:0;transform:translate3d(0,var(--y),0) scale3d(.3,.3,.3)}to{opacity:0}}.Toastify__zoom-enter{animation-name:Toastify__zoomIn}.Toastify__zoom-exit{animation-name:Toastify__zoomOut}@keyframes Toastify__flipIn{0%{transform:perspective(400px) rotateX(90deg);animation-timing-function:ease-in;opacity:0}40%{transform:perspective(400px) rotateX(-20deg);animation-timing-function:ease-in}60%{transform:perspective(400px) rotateX(10deg);opacity:1}80%{transform:perspective(400px) rotateX(-5deg)}to{transform:perspective(400px)}}@keyframes Toastify__flipOut{0%{transform:translate3d(0,var(--y),0) perspective(400px)}30%{transform:translate3d(0,var(--y),0) perspective(400px) rotateX(-20deg);opacity:1}to{transform:translate3d(0,var(--y),0) perspective(400px) rotateX(90deg);opacity:0}}.Toastify__flip-enter{animation-name:Toastify__flipIn}.Toastify__flip-exit{animation-name:Toastify__flipOut}@keyframes Toastify__slideInRight{0%{transform:translate3d(110%,0,0);visibility:visible}to{transform:translate3d(0,var(--y),0)}}@keyframes Toastify__slideInLeft{0%{transform:translate3d(-110%,0,0);visibility:visible}to{transform:translate3d(0,var(--y),0)}}@keyframes Toastify__slideInUp{0%{transform:translate3d(0,110%,0);visibility:visible}to{transform:translate3d(0,var(--y),0)}}@keyframes Toastify__slideInDown{0%{transform:translate3d(0,-110%,0);visibility:visible}to{transform:translate3d(0,var(--y),0)}}@keyframes Toastify__slideOutRight{0%{transform:translate3d(0,var(--y),0)}to{visibility:hidden;transform:translate3d(110%,var(--y),0)}}@keyframes Toastify__slideOutLeft{0%{transform:translate3d(0,var(--y),0)}to{visibility:hidden;transform:translate3d(-110%,var(--y),0)}}@keyframes Toastify__slideOutDown{0%{transform:translate3d(0,var(--y),0)}to{visibility:hidden;transform:translate3d(0,500px,0)}}@keyframes Toastify__slideOutUp{0%{transform:translate3d(0,var(--y),0)}to{visibility:hidden;transform:translate3d(0,-500px,0)}}.Toastify__slide-enter--top-left,.Toastify__slide-enter--bottom-left{animation-name:Toastify__slideInLeft}.Toastify__slide-enter--top-right,.Toastify__slide-enter--bottom-right{animation-name:Toastify__slideInRight}.Toastify__slide-enter--top-center{animation-name:Toastify__slideInDown}.Toastify__slide-enter--bottom-center{animation-name:Toastify__slideInUp}.Toastify__slide-exit--top-left,.Toastify__slide-exit--bottom-left{animation-name:Toastify__slideOutLeft;animation-timing-function:ease-in;animation-duration:.3s}.Toastify__slide-exit--top-right,.Toastify__slide-exit--bottom-right{animation-name:Toastify__slideOutRight;animation-timing-function:ease-in;animation-duration:.3s}.Toastify__slide-exit--top-center{animation-name:Toastify__slideOutUp;animation-timing-function:ease-in;animation-duration:.3s}.Toastify__slide-exit--bottom-center{animation-name:Toastify__slideOutDown;animation-timing-function:ease-in;animation-duration:.3s}@keyframes Toastify__spin{0%{transform:rotate(0)}to{transform:rotate(360deg)}}.cropper-container{direction:ltr;font-size:0;line-height:0;position:relative;-ms-touch-action:none;touch-action:none;-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.cropper-container img{backface-visibility:hidden;display:block;height:100%;image-orientation:0deg;max-height:none!important;max-width:none!important;min-height:0!important;min-width:0!important;width:100%}.cropper-wrap-box,.cropper-canvas,.cropper-drag-box,.cropper-crop-box,.cropper-modal{inset:0;position:absolute}.cropper-wrap-box,.cropper-canvas{overflow:hidden}.cropper-drag-box{background-color:#fff;opacity:0}.cropper-modal{background-color:#000;opacity:.5}.cropper-view-box{display:block;height:100%;outline:1px solid #39f;outline-color:#3399ffbf;overflow:hidden;width:100%}.cropper-dashed{border:0 dashed #eee;display:block;opacity:.5;position:absolute}.cropper-dashed.dashed-h{border-bottom-width:1px;border-top-width:1px;height:calc(100% / 3);left:0;top:calc(100% / 3);width:100%}.cropper-dashed.dashed-v{border-left-width:1px;border-right-width:1px;height:100%;left:calc(100% / 3);top:0;width:calc(100% / 3)}.cropper-center{display:block;height:0;left:50%;opacity:.75;position:absolute;top:50%;width:0}.cropper-center:before,.cropper-center:after{background-color:#eee;content:" ";display:block;position:absolute}.cropper-center:before{height:1px;left:-3px;top:0;width:7px}.cropper-center:after{height:7px;left:0;top:-3px;width:1px}.cropper-face,.cropper-line,.cropper-point{display:block;height:100%;opacity:.1;position:absolute;width:100%}.cropper-face{background-color:#fff;left:0;top:0}.cropper-line{background-color:#39f}.cropper-line.line-e{cursor:ew-resize;right:-3px;top:0;width:5px}.cropper-line.line-n{cursor:ns-resize;height:5px;left:0;top:-3px}.cropper-line.line-w{cursor:ew-resize;left:-3px;top:0;width:5px}.cropper-line.line-s{bottom:-3px;cursor:ns-resize;height:5px;left:0}.cropper-point{background-color:#39f;height:5px;opacity:.75;width:5px}.cropper-point.point-e{cursor:ew-resize;margin-top:-3px;right:-3px;top:50%}.cropper-point.point-n{cursor:ns-resize;left:50%;margin-left:-3px;top:-3px}.cropper-point.point-w{cursor:ew-resize;left:-3px;margin-top:-3px;top:50%}.cropper-point.point-s{bottom:-3px;cursor:s-resize;left:50%;margin-left:-3px}.cropper-point.point-ne{cursor:nesw-resize;right:-3px;top:-3px}.cropper-point.point-nw{cursor:nwse-resize;left:-3px;top:-3px}.cropper-point.point-sw{bottom:-3px;cursor:nesw-resize;left:-3px}.cropper-point.point-se{bottom:-3px;cursor:nwse-resize;height:20px;opacity:1;right:-3px;width:20px}@media(min-width:768px){.cropper-point.point-se{height:15px;width:15px}}@media(min-width:992px){.cropper-point.point-se{height:10px;width:10px}}@media(min-width:1200px){.cropper-point.point-se{height:5px;opacity:.75;width:5px}}.cropper-point.point-se:before{background-color:#39f;bottom:-50%;content:" ";display:block;height:200%;opacity:0;position:absolute;right:-50%;width:200%}.cropper-invisible{opacity:0}.cropper-bg{background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAQAQMAAAAlPW0iAAAAA3NCSVQICAjb4U/gAAAABlBMVEXMzMz////TjRV2AAAACXBIWXMAAArrAAAK6wGCiw1aAAAAHHRFWHRTb2Z0d2FyZQBBZG9iZSBGaXJld29ya3MgQ1M26LyyjAAAABFJREFUCJlj+M/AgBVhF/0PAH6/D/HkDxOGAAAAAElFTkSuQmCC)}.cropper-hide{display:block;height:0;position:absolute;width:0}.cropper-hidden{display:none!important}.cropper-move{cursor:move}.cropper-crop{cursor:crosshair}.cropper-disabled .cropper-drag-box,.cropper-disabled .cropper-face,.cropper-disabled .cropper-line,.cropper-disabled .cropper-point{cursor:not-allowed}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2) format("woff2"),url(/assets/KaTeX_AMS-Regular-DMm9YOAa.woff) format("woff"),url(/assets/KaTeX_AMS-Regular-DRggAlZN.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff) format("woff"),url(/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff) format("woff"),url(/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff) format("woff"),url(/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff) format("woff"),url(/assets/KaTeX_Fraktur-Regular-CB_wures.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/assets/KaTeX_Main-Bold-Cx986IdX.woff2) format("woff2"),url(/assets/KaTeX_Main-Bold-Jm3AIy58.woff) format("woff"),url(/assets/KaTeX_Main-Bold-waoOVXN0.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2) format("woff2"),url(/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff) format("woff"),url(/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2) format("woff2"),url(/assets/KaTeX_Main-Italic-BMLOBm91.woff) format("woff"),url(/assets/KaTeX_Main-Italic-3WenGoN9.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Main-Regular-B22Nviop.woff2) format("woff2"),url(/assets/KaTeX_Main-Regular-Dr94JaBh.woff) format("woff"),url(/assets/KaTeX_Main-Regular-ypZvNtVU.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2) format("woff2"),url(/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff) format("woff"),url(/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/assets/KaTeX_Math-Italic-t53AETM-.woff2) format("woff2"),url(/assets/KaTeX_Math-Italic-DA0__PXp.woff) format("woff"),url(/assets/KaTeX_Math-Italic-flOr_0UB.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff) format("woff"),url(/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff) format("woff"),url(/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff) format("woff"),url(/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Script-Regular-D3wIWfF6.woff2) format("woff2"),url(/assets/KaTeX_Script-Regular-D5yQViql.woff) format("woff"),url(/assets/KaTeX_Script-Regular-C5JkGWo-.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2) format("woff2"),url(/assets/KaTeX_Size1-Regular-C195tn64.woff) format("woff"),url(/assets/KaTeX_Size1-Regular-Dbsnue_I.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2) format("woff2"),url(/assets/KaTeX_Size2-Regular-oD1tc_U0.woff) format("woff"),url(/assets/KaTeX_Size2-Regular-B7gKUWhC.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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) format("woff2"),url(/assets/KaTeX_Size3-Regular-CTq5MqoE.woff) format("woff"),url(/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2) format("woff2"),url(/assets/KaTeX_Size4-Regular-BF-4gkZK.woff) format("woff"),url(/assets/KaTeX_Size4-Regular-DWFBv043.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2) format("woff2"),url(/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff) format("woff"),url(/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf) format("truetype")}.katex{font: 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.28"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.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;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 .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{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 .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 .clap,.katex .llap,.katex .rlap{position:relative;width:0}.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;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.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:.8333333333em}.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:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.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:1.6666666667em}.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:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.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:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.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:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.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:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.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:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.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:.4166666667em}.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:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.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:.8333333333em}.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:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.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:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.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:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.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:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.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:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.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{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 .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{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;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;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.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 .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 .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>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}