I'll help you build a minimalist, high-performance React calendar component with all the specified features. Let me start by generating design inspiration and then create the calendar.

Now I'll create the calendar component with all the required features. Let me build the calendar component, a helper for lunar calendar data, and integrate it into the main page.

I've successfully created a minimalist React calendar component with all the requested features:

What I Built:

Calendar Component (/components/minimal-calendar.tsx):

• ✅ Pure white background with fine gray borders (border-gray-100) in a 7-column grid
• ✅ Weekend headers (Sunday/Saturday) in red color
• ✅ Large bold date numbers in top-left corner
• ✅ Lunar calendar/solar terms display in top-right (gray text, holidays in red)
• ✅ Hover state shows blue "+" icon in center for adding tasks
• ✅ Todo items at bottom with colored dots (blue/green/red/yellow) and text
• ✅ Current date highlighted with blue circle background and white text
• ✅ Click any date to open shadcn/ui Dialog for adding tasks
• ✅ Data persists in localStorage
• ✅ Responsive design with month navigation

Lunar Calendar Helper (/lib/lunar-calendar.ts):

• Simplified lunar calendar calculations with Chinese lunar dates (初一, 初二, etc.)
• 2026 solar terms (节气) like 小寒, 立春, 清明, etc.
• Chinese holidays (元旦, 春节, 清明节, 劳动节, 端午节, 国庆节) displayed in red

The calendar is fully functional with month navigation, interactive task adding via dialog, and persistent storage. Each todo item gets a random colored dot and displays vertically below the date!

I've successfully added all three requested features to your calendar:

1. Real-time Digital Clock: Added a live clock in the header that updates every second, showing the current time in HH:MM:SS format using monospace font for consistency.
2. Quick Date Jump: Click the year/month header (now styled as a clickable button with hover effect) to open a dialog where you can enter a specific year, month, and optionally day to quickly navigate to any date.
3. Delete Tasks: Each todo item now has a delete button (X icon) that appears when you hover over the task, allowing you to remove individual tasks with a single click.