Design an Interactive Paginator

Design a component for a data browser that requires interactive pagination. Your implementation must include a stateful class to manage the pagination state and render the UI string.

Implement the Paginator class:

• Paginator(int totalPages, int visibleCount, int currentPage) - Initializes the paginator

  • totalPages: Total number of pages (1-indexed)
  • visibleCount: Maximum page numbers to display
  • currentPage: Currently active page (1-indexed)

• String jump(int pageNumber) - Moves to specified page (clamped to valid range). Returns rendered UI string.

• String left() - Moves one page left if possible. Returns rendered UI string.

• String right() - Moves one page right if possible. Returns rendered UI string.

UI Rendering Rules:

• Page numbers separated by single space
• Prepend "< " if currentPage > 1
• Append " >" if currentPage < totalPages
• Mark currentPage with asterisk (*)
• Window always includes currentPage and is as centered as possible
• If visibleCount is even, window leans left (currentPage appears as right-center element)
• If window extends beyond bounds, shift fully to left or right