:root {
            --primary-color: #2c7da0;
            --secondary-color: #a9d6e5;
            --accent-color: #01497c;
            --light-gray: #f8f9fa;
            --border-color: #eaeaea;
            --text-color: #333;
            --text-muted: #6c757d;
            --success-color: #28a745;
            --warning-color: #ffc107;
            --error-color: #dc3545;
            --math-green: #198754;
            --math-blue: #0d6efd;
            --math-purple: #6f42c1;
        }
         
        .page-header {
            background: linear-gradient(135deg, rgba(169, 214, 229, 0.4) 0%, rgba(44, 125, 160, 0.4) 100%);
            padding: 1.5rem 0;
            margin-bottom: 2rem;
            border-bottom: 1px solid rgba(44, 125, 160, 0.2);
            position: relative;
            overflow: hidden;    color: var(--text-color);
        }
     
        
        .breadcrumb {
            background-color: transparent;
            padding: 0.5rem 0;
            margin-bottom: 0.5rem;
        }
        
        .breadcrumb-item a {
            color: var(--text-muted);
            text-decoration: none;
        }
        
        .breadcrumb-item.active {
            color: var(--text-color);
        }
         
        .expression-examples {
            display: flex;
            flex-wrap: wrap;
            gap: 0.5rem;
            margin-top: 0.5rem;
        }
        
        .expression-example {
            background-color: var(--light-gray);
            border: 1px solid var(--border-color);
            border-radius: 4px;
            padding: 0.25rem 0.5rem;
            font-size: 0.85rem;
            cursor: pointer;
            transition: all 0.2s;
        }
        
        .expression-example:hover {
            background-color: rgba(44, 125, 160, 0.1);
            border-color: var(--primary-color);
        }
        
        .math-display {
            font-family: 'Cambria Math', 'Latin Modern Math', 'STIX Two Math', serif;
            font-size: 1.2rem;
            padding: 1rem;
            background-color: var(--light-gray);
            border-radius: 6px;
            border: 1px solid var(--border-color);
            margin: 1rem 0;
            text-align: center;
            overflow-x: auto;
        }
        
        .math-equation {
            font-size: 1.4rem;
            margin: 0.5rem 0;
        }
       
        .solution-step {
            margin-bottom: 1.5rem;
            padding-bottom: 1.5rem;
            border-bottom: 1px dashed var(--border-color);
        }
        
        .math-info-box {
            background-color: rgba(25, 135, 84, 0.05);
            border-left: 3px solid var(--math-green);
            padding: 1rem;
            border-radius: 0 4px 4px 0;
            margin: 1.5rem 0;
        }
          
        .factoring-tabs {
            display: flex;
            background-color: var(--light-gray);
            border-radius: 6px;
            padding: 4px;
            margin-bottom: 1.5rem;
            flex-wrap: wrap;
        }
        
        .factoring-tab {
            flex: 1;
            text-align: center;
            padding: 0.75rem;
            border-radius: 4px;
            cursor: pointer;
            transition: all 0.3s;
            font-weight: 600;
            min-width: 120px;
            margin: 2px;
        }
        
        .factoring-tab.active {
            background-color: var(--primary-color);
            color: white;
        }
       
        .error-message {
            background-color: rgba(220, 53, 69, 0.1);
            border-left: 4px solid var(--error-color);
            padding: 1rem;
            margin: 1rem 0;
            border-radius: 0 4px 4px 0;
        }
        
        .method-badge {
            display: inline-block;
            background-color: rgba(44, 125, 160, 0.1);
            color: var(--primary-color);
            padding: 0.25rem 0.5rem;
            border-radius: 4px;
            font-size: 0.8rem;
            font-weight: 600;
            margin-right: 0.5rem;
            margin-bottom: 0.5rem;
        }
        
        .katex-display {
            overflow-x: auto;
            overflow-y: hidden;
            padding: 1rem 0;
        }
        
        .generating-indicator {
            display: none;
            text-align: center;
            padding: 1rem;
            color: var(--text-muted);
        }
        
        .factorization-result {
            padding: 1rem;
            background-color: white;
            border-radius: 8px;
            margin: 1rem 0;
            border: 1px solid var(--border-color);
        }
        
        .factor-title {
            font-weight: 600;
            color: var(--math-green);
            margin-bottom: 0.5rem;
        }
        
        .factoring-type {
            margin-bottom: 1.5rem;
        }
        
        .type-description {
            color: var(--text-muted);
            margin-bottom: 0.5rem;
        }
        
        .examples-table {
            width: 100%;
            border-collapse: collapse;
            margin: 1.5rem 0;
        }
        
        .examples-table th, .examples-table td {
            padding: 0.75rem;
            text-align: left;
            border: 1px solid var(--border-color);
        }
        
        .examples-table th {
            background-color: var(--light-gray);
            font-weight: 600;
        }
        
        .examples-table tr:nth-child(even) {
            background-color: rgba(44, 125, 160, 0.05);
        }
        
        .input-group {
            margin-bottom: 1rem;
        }
        
        .methods-list {
            list-style-type: none;
            padding-left: 0;
        }
        
        .methods-list li {
            padding: 0.5rem 0;
            border-bottom: 1px solid var(--border-color);
        }
        
        .methods-list li:last-child {
            border-bottom: none;
        }
        
        .method-name {
            font-weight: 600;
            color: var(--primary-color);
        }
        
        .method-desc {
            color: var(--text-muted);
            font-size: 0.9rem;
        }
        
        .special-pattern {
            background-color: rgba(111, 66, 193, 0.05);
            border-left: 3px solid var(--math-purple);
            padding: 1rem;
            border-radius: 0 4px 4px 0;
            margin: 1.5rem 0;
        }