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feat: 完成3个任务 - 变量监视面板、结果点击高亮、递归树增强
1. 任务1950: 右侧算法代码区域已实现debug效果 - 变量监视面板显示局部变量和调用栈 - 变量变化时有高亮动画 2. 任务1951: 找到的组合点击高亮递归树路径 - ResultList组件添加点击事件 - TreeVisualization组件支持路径高亮 - 金色高亮显示选中路径 3. 任务1952: 递归树增加更多示意元素 - 连接线添加箭头标记 - 深度标签和参考线 - 连接线旁显示+字母标签 - 当前节点脉冲动画 - 叶子节点显示完整路径
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‎.kiro/specs/phone-letter-combinations/design.md‎

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‎.kiro/specs/phone-letter-combinations/requirements.md‎

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# Requirements Document
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## Introduction
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本系统是一个电话号码字母组合算法的可视化演示应用。基于 LeetCode 第17题，该应用使用 TypeScript、React 和 D3.js 技术栈，通过动画分步展示回溯算法如何生成给定数字字符串（2-9）对应的所有字母组合。用户可以输入数字字符串，观察算法的递归调用过程、当前路径构建和结果收集的完整流程。
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## Glossary
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- **Digit_String**: 仅包含数字 2-9 的输入字符串，长度为 1-4
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- **Letter_Mapping**: 数字到字母的映射关系，与电话按键相同（2→abc, 3→def, 4→ghi, 5→jkl, 6→mno, 7→pqrs, 8→tuv, 9→wxyz）
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- **Combination**: 由输入数字对应字母组成的一个完整字母组合结果
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- **Backtracking_Algorithm**: 回溯算法，通过递归探索所有可能路径并在必要时回退
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- **Current_Path**: 算法执行过程中正在构建的字母序列
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- **Recursion_Tree**: 表示算法递归调用关系的树形结构
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- **Animation_Step**: 算法执行过程中的一个可视化步骤
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- **Visualization_Canvas**: D3.js 渲染动画的画布区域
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## Requirements
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### Requirement 1
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**User Story:** As a user, I want to input a digit string (2-9), so that I can see all possible letter combinations.
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#### Acceptance Criteria
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1. WHEN a user enters a digit string in the input field THEN the System SHALL validate that the string contains only digits 2-9
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2. WHEN a user enters an invalid character (0, 1, or non-digit) THEN the System SHALL display an error message and prevent algorithm execution
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3. WHEN a user enters a valid digit string with length between 1 and 4 THEN the System SHALL enable the start animation button
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4. WHEN a user enters a digit string longer than 4 characters THEN the System SHALL truncate the input to 4 characters and display a warning
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### Requirement 2
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**User Story:** As a user, I want to see the digit-to-letter mapping displayed, so that I can understand the relationship between digits and letters.
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#### Acceptance Criteria
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1. WHEN the application loads THEN the System SHALL display the complete digit-to-letter mapping (2→abc through 9→wxyz)
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2. WHEN a user enters a digit THEN the System SHALL highlight the corresponding letters in the mapping display
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3. WHEN the algorithm processes a specific digit THEN the System SHALL visually emphasize that digit's letter options in the mapping
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### Requirement 3
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**User Story:** As a user, I want to control the animation playback, so that I can learn at my own pace.
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#### Acceptance Criteria
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1. WHEN a user clicks the "Start" button THEN the System SHALL begin the step-by-step animation from the first step
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2. WHEN a user clicks the "Pause" button during animation THEN the System SHALL pause the animation at the current step
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3. WHEN a user clicks the "Next Step" button THEN the System SHALL advance the animation by exactly one step
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4. WHEN a user clicks the "Previous Step" button THEN the System SHALL revert the animation by exactly one step
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5. WHEN a user clicks the "Reset" button THEN the System SHALL return the animation to the initial state
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6. WHEN a user adjusts the speed slider THEN the System SHALL update the animation speed accordingly
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### Requirement 4
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**User Story:** As a user, I want to see the recursion tree visualization, so that I can understand how the backtracking algorithm explores different paths.
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#### Acceptance Criteria
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1. WHEN the algorithm starts THEN the System SHALL render an empty recursion tree root node using D3.js
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2. WHEN the algorithm makes a recursive call THEN the System SHALL animate a new child node being added to the tree
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3. WHEN the algorithm backtracks THEN the System SHALL visually indicate the backtracking by highlighting the path being abandoned
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4. WHEN a complete combination is found THEN the System SHALL highlight the path from root to leaf as a successful result
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5. WHEN the tree grows beyond the visible area THEN the System SHALL provide pan and zoom capabilities
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### Requirement 5
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**User Story:** As a user, I want to see the current path being built, so that I can track the algorithm's progress.
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#### Acceptance Criteria
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1. WHEN the algorithm adds a letter to the current path THEN the System SHALL display the updated path with the new letter highlighted
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2. WHEN the algorithm removes a letter during backtracking THEN the System SHALL animate the letter being removed from the path
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3. WHEN the current path forms a complete combination THEN the System SHALL visually indicate completion before adding to results
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### Requirement 6
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**User Story:** As a user, I want to see all found combinations displayed, so that I can verify the algorithm's output.
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#### Acceptance Criteria
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1. WHEN a complete combination is found THEN the System SHALL add the combination to the results list with an animation
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2. WHEN the algorithm completes THEN the System SHALL display the total count of combinations found
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3. WHEN displaying results THEN the System SHALL show combinations in the order they were discovered
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### Requirement 7
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**User Story:** As a user, I want to see the algorithm's code with current line highlighting, so that I can understand which part of the code is executing.
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#### Acceptance Criteria
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1. WHEN the application loads THEN the System SHALL display the backtracking algorithm pseudocode
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2. WHEN an animation step executes THEN the System SHALL highlight the corresponding line of code
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3. WHEN the algorithm enters a recursive call THEN the System SHALL indicate the recursion depth visually
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### Requirement 8
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**User Story:** As a user, I want the application to handle edge cases gracefully, so that I can explore different scenarios.
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#### Acceptance Criteria
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1. WHEN a user enters an empty string THEN the System SHALL display an empty result set without errors
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2. WHEN a user enters a single digit THEN the System SHALL display the corresponding 3 or 4 letters as individual combinations
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3. WHEN the animation is running and user changes input THEN the System SHALL reset and prepare for new input
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‎.kiro/specs/phone-letter-combinations/tasks.md‎

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# Implementation Plan
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- [x] 1. Initialize project and setup core infrastructure
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- [x] 1.1 Create Vite + React + TypeScript project structure
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- Initialize project with `npm create vite@latest`
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- Configure TypeScript strict mode
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- Configure Vite dev server to use port 65388
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- Install dependencies: react, d3, fast-check, vitest
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- _Requirements: 1.1, 1.3_
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- [x] 1.2 Define core type definitions and constants
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- Create `types.ts` with all interfaces (AnimationStep, TreeNode, AppState, etc.)
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- Create `constants.ts` with DIGIT_TO_LETTERS mapping
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- _Requirements: 2.1_
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- [x] 2. Implement input validation module
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- [x] 2.1 Create validateInput function
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- Implement validation logic for digits 2-9
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- Handle invalid characters, empty input, and length truncation
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- _Requirements: 1.1, 1.2, 1.4, 8.1_
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- [x] 2.2 Write property tests for input validation
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- **Property 1: Input Validation Correctness**
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- **Validates: Requirements 1.1, 1.2**
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- [x] 2.3 Write property test for input truncation
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- **Property 2: Input Truncation Consistency**
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- **Validates: Requirements 1.4**
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- [x] 3. Implement algorithm engine and step generator
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- [x] 3.1 Create letterCombinations algorithm function
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- Implement backtracking algorithm
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- Return all valid combinations for given digit string
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- _Requirements: 6.2, 8.2_
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- [x] 3.2 Create step generator for animation
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- Generate AnimationStep array from algorithm execution
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- Include all step types: INIT, ENTER_RECURSION, SELECT_LETTER, ADD_TO_PATH, FOUND_COMBINATION, BACKTRACK, EXIT_RECURSION, COMPLETE
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- Track tree state, current path, and results at each step
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- _Requirements: 4.2, 5.1, 5.2, 6.1_
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- [x] 3.3 Write property test for algorithm output correctness
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- **Property 12: Algorithm Output Correctness**
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- **Validates: Requirements 6.2**
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- [x] 3.4 Write property test for single digit combinations
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- **Property 14: Single Digit Combination Count**
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- **Validates: Requirements 8.2**
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- [x] 3.5 Write property test for algorithm round-trip
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- **Property 15: Algorithm Round-Trip Correctness**
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- **Validates: Requirements 1.1, 6.2**
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- [x] 4. Checkpoint - Ensure all tests pass
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- Ensure all tests pass, ask the user if questions arise.
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- [x] 5. Implement animation controller
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- [x] 5.1 Create useAnimationController custom hook
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- Implement play, pause, nextStep, prevStep, reset functions
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- Manage currentStepIndex and isPlaying state
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- Handle speed control with configurable interval
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- _Requirements: 3.1, 3.2, 3.3, 3.4, 3.5, 3.6_
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- [x] 5.2 Write property tests for step navigation
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- **Property 3: Step Navigation Forward Invariant**
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- **Property 4: Step Navigation Backward Invariant**
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- **Validates: Requirements 3.3, 3.4**
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- [x] 5.3 Write property test for reset functionality
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- **Property 5: Reset State Consistency**
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- **Validates: Requirements 3.5**
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- [x] 6. Implement tree state management
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- [x] 6.1 Create tree state update functions
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- Implement addNode, markBacktracked, markCompleted functions
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- Maintain tree structure consistency
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- _Requirements: 4.2, 4.3, 4.4_
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- [x] 6.2 Write property tests for tree operations
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- **Property 6: Tree Growth on Recursion**
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- **Property 7: Backtrack Path Marking**
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- **Property 8: Completion Path Highlighting**
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- **Validates: Requirements 4.2, 4.3, 4.4**
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- [x] 7. Implement path and results management
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- [x] 7.1 Create path state management functions
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- Implement addToPath, removeFromPath functions
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- Track current path state
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- _Requirements: 5.1, 5.2, 5.3_
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- [x] 7.2 Write property tests for path operations
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- **Property 9: Path Addition Consistency**
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- **Property 10: Path Removal on Backtrack**
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- **Property 11: Results Ordering Preservation**
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- **Validates: Requirements 5.1, 5.2, 6.1, 6.3**
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- [x] 8. Checkpoint - Ensure all tests pass
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- Ensure all tests pass, ask the user if questions arise.
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- [x] 9. Build UI components
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- [x] 9.1 Create InputPanel component
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- Text input for digit string
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- Real-time validation feedback
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- Error message display
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- _Requirements: 1.1, 1.2, 1.3, 1.4_
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- [x] 9.2 Create ControlPanel component
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- Play, Pause, Next, Prev, Reset buttons
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- Speed slider control
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- Button state management (disabled states)
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- _Requirements: 3.1, 3.2, 3.3, 3.4, 3.5, 3.6_
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- [x] 9.3 Create MappingDisplay component
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- Display digit-to-letter mapping grid
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- Highlight active digit and letter
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- _Requirements: 2.1, 2.2, 2.3_
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- [x] 9.4 Create PathDisplay component
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- Show current path being built
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- Animate letter additions and removals
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- Indicate completion state
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- _Requirements: 5.1, 5.2, 5.3_
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- [x] 9.5 Create ResultList component
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- Display found combinations
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- Show total count
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- Highlight newly added results
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- _Requirements: 6.1, 6.2, 6.3_
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- [x] 9.6 Create CodeDisplay component
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- Display algorithm pseudocode
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- Highlight current executing line
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- Show recursion depth indicator
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- _Requirements: 7.1, 7.2, 7.3_
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- [x] 10. Implement D3.js tree visualization
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- [x] 10.1 Create TreeVisualization component
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- Set up D3.js SVG canvas
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- Implement tree layout algorithm
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- Render nodes and edges
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- _Requirements: 4.1, 4.2_
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- [x] 10.2 Add tree animation and interaction
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- Animate node additions
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- Highlight active, completed, and backtracked nodes
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- Implement pan and zoom for large trees
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- _Requirements: 4.3, 4.4, 4.5_
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- [x] 10.3 Write property test for code line correspondence
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- **Property 13: Code Line Correspondence**
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- **Validates: Requirements 7.2**
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- [x] 11. Integrate all components in App
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- [x] 11.1 Create main App component
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- Compose all UI components
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- Wire up state management
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- Handle input change during animation
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- _Requirements: 8.3_
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- [x] 11.2 Add styling and layout
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- Create responsive layout
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- Apply consistent styling
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- Ensure accessibility
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- _Requirements: All UI requirements_
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- [x] 12. Final Checkpoint - Ensure all tests pass
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- Ensure all tests pass, ask the user if questions arise.
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