Implement an interactive Domino Retiling puzzle:
- New DominoRetilingPuzzle component to tile an augmented 8x8 board into all horizontal dominoes with an extra right-hand square
- New DominoRetilingPuzzlePage and route integration
- Puzzles list integration via App.tsx
- Pattern follows existing puzzle UI (cards, instructions, board, interactions)
- Includes generate/random tiling, valid placement, and reset hooks for replayable puzzles
X-Lovable-Edit-ID: edt-14d7396d-c5c0-4f4b-bf64-4264937b9c28
Color entire L-shaped hooks in Ferrers-Ramanujan diagram, not just diagonal boxes. Applies colors to all boxes forming each hook (boxes to the right in the same row and below in the same column) with consistent coloring across both diagrams. Updates color generation and rendering accordingly.
X-Lovable-Edit-ID: edt-5dda2f3e-2253-418a-a683-aaa8c065ec76
Add color-coding for generated hooks and mirror colors on RR partition.
- Introduce hookColors and baseHue state for pastel color shading.
- Generate random base color per run and derive diagonal hook colors across both diagrams.
- Apply consistent colors to Ferrers diagram highlights and Rogers-Ramanujan partition boxes.
- Ensure muted pastel shades traverse along the diagonal hooks and reflect on both views.
X-Lovable-Edit-ID: edt-8409dc4c-1a65-459a-9898-f0e32c8966a0
Restrict Ferrers-Rogers-Ramanujan animation to traverse only the main diagonal (top-left to bottom-right) of the Ferrers diagram. Process hooks at positions (i, i) as long as a box exists, stopping when the diagonal ends. This replaces the previous diagonal traversal to avoid generating excessive hooks.
X-Lovable-Edit-ID: edt-dd8be332-f1e2-49f5-9077-6354075ccfe7
Refactor animation logic to prevent infinite loop by replacing local step variable with state-driven useEffect, add proper termination, and guard intervals. Also introduce isAnimating flag, and adjust generate button states to reflect animation progress.
X-Lovable-Edit-ID: edt-8715691a-8a92-4c00-b580-9cb8dd310fc8
Introduce a new interactive under discrete math counting:
- plan for Ferrers diagram with partition sliders, commit, and RR partition generation
- scaffold components, page, and routing integration
- prepare for animated hook-based RR partition generation and visualization
X-Lovable-Edit-ID: edt-63dbabbf-9a98-4e18-a83d-f8c0f2d03697
Introduce numPresents and numBoxes sliders in PresentsPuzzle.tsx, replacing fixed 26/100 text with dynamic values. Propagate these values through generation, orders, rendering, and win logic to ensure presents ≤ boxes, update labels accordingly, and keep UI text in sync with slider values.
X-Lovable-Edit-ID: edt-f8775504-3605-417d-9d51-1502310b4168
Ensure step-to-end stops at current final state instead of rewinding to an earlier winning step; add guard to do nothing if already at end or winner determined, preserving final outcome. Adjust logic to prevent recalculation after completion.
X-Lovable-Edit-ID: edt-7b7e08ff-28cd-4aed-9f1f-08fce229a90b
Compute winning step where a player first reaches 26 gifts and sync both players to that exact step, advancing to that step for both and ensuring at least one undiscovered gift for the loser unless tie.
X-Lovable-Edit-ID: edt-921d1c7e-89b5-49dc-ae02-ffee236d632b
- Change initial play button label from Resume to Auto Play
- Ensure first step opens a single box when manually stepping
- Adjust logic to start from an initial idle state (-1) to align with expected behavior
X-Lovable-Edit-ID: edt-70f04cee-2de9-4621-9009-66a571a91a4f
Ensure Alice and Bob's step counts advance in lockstep during auto-play and remain synced when paused. Update PresentsPuzzle logic to keep both sides' opened boxes counts aligned and reflect consistent progression across pause/resume.
X-Lovable-Edit-ID: edt-5987193b-4caf-47a0-a0d9-332b2b269e6f
Improve button functionality for Presents Puzzle by debugging and updating pause/step logic, ensuring proper initialization and synchronous pause handling, and aligning behavior with other interactives.
X-Lovable-Edit-ID: edt-39d880a1-7b02-467d-a083-abd2257f5e13
Enhance Presents Puzzle with pause, step, and navigation controls:
- Add pause, step next/back, step to start/end buttons
- Integrate into existing puzzle controls and state
- Enable stepping through simulation without auto-rotation/motion
X-Lovable-Edit-ID: edt-d7d358ef-a108-4530-a942-9a6508865305
Add a per-player counter showing boxes opened next to Alice and Bob's names (format x/100, starting at 0). Integrates with existing PresentsPuzzle flow by updating UI to display aliceOpened.size and bobOpened.size as counters alongside names, reflecting progress as boxes are opened.
X-Lovable-Edit-ID: edt-0898b52f-a2aa-466c-a315-141301ce3db6
- Constrain Presents Puzzle arena width to match top navigation by applying max-w-6xl container in PresentsPuzzle page
- Ensure the content area lines up with the menu endpoints for a consistent layout
X-Lovable-Edit-ID: edt-95431621-f64c-4374-b529-5daafa5aeda1
Change the acknowledgement card background in PresentsPuzzle to a light green (bg-green-50) for better contrast.
X-Lovable-Edit-ID: edt-e8c85a09-6b92-4a38-9ab7-926768f1d164
Adjust Presents Puzzle page to render in a regular box layout like others and add an acknowledgment box citing inspiration sources with relevant links. Update routing/page wrapper and insert acknowledgement card referencing Daniel Litt and Gil Kalai.
X-Lovable-Edit-ID: edt-1d745020-f3ef-4326-9252-099a2249f48b
- Both players now properly tie when they find all 26 presents on the same turn
- Single simulation displays "It's a tie!" message when both finish together
- Batch simulation (100 rounds) now tracks and displays ties separately
- Updated results grid to show three columns: Alice, Bob, and Ties
- Fixed logic to check both players on the same iteration
- No longer unfairly favors Alice in tie scenarios
Created a new interactive puzzle that explores probability and search strategies:
- Alice opens boxes in sequential order (1, 2, 3, ...)
- Bob opens odds first, then evens (1, 3, 5, ..., 2, 4, 6, ...)
- 26 presents randomly distributed in 100 boxes
- Interactive visualization with two 10×10 grids
- Single simulation with animated opening process
- Batch simulation of 100 rounds to analyze win rates
- Added to Uncertainty theme page (first interactive in this category)
