games/packages/service_api/lib/models/math_quiz_difficulty.dart

import 'game_difficulty.dart';

/// 빈칸의 유형을 정의
enum MathQuizBlankType {
  numbersOnly, // 숫자만
  operatorsOnly, // 연산자만
  numbersAndOperators, // 둘 다
}

/// 퍼즐의 레이아웃 형태를 정의
enum MathQuizLayout {
  /// A + B = C 또는 A + B * C = D
  singleLine,
  /// 'ㄱ', 'ㄴ' 모양 (변수 4개)
  linkedL,
  /// 3x3 이상 그리드 (변수 8개 이상)
  gridSquare,
}

/// 수학 퀴즈 게임의 난이도 정의
class MathQuizDifficulty extends GameDifficulty {
  final int levelIndex;
  final MathQuizLayout layout;
  final String operators;
  final int blankCount;
  final MathQuizBlankType blankType;

  /// [수정] 연산 복잡도 (예: 2=A+B, 3=A+B*C, 4=2x2그리드)
  final int operationCount;

  const MathQuizDifficulty({
    required this.levelIndex,
    required super.name,
    required super.contextId,
    required this.layout,
    required this.operators,
    required this.blankCount,
    required this.blankType,
    required this.operationCount,
  });
}

/// [수정됨] 앱 전역에서 사용할 수학 퀴즈 난이도 목록 (15단계)
class MathQuizDifficulties {
  static final List<MathQuizDifficulty> allDifficulties = [
    // --- 패턴 1: 숫자 2개 (A op B = C) [Lv 1-3] ---
    // (연산자 우선순위 없음)
    const MathQuizDifficulty(
      levelIndex: 1,
      name: 'Lv. 1: 숫자 2개 (숫자 빈칸)',
      contextId: 'MATH_L1_OP2_NUM',
      layout: MathQuizLayout.singleLine,
      operators: '+,-',
      blankCount: 1,
      blankType: MathQuizBlankType.numbersOnly,
      operationCount: 2, // A, B
    ),
    const MathQuizDifficulty(
      levelIndex: 2,
      name: 'Lv. 2: 숫자 2개 (연산자 빈칸)',
      contextId: 'MATH_L2_OP2_OP',
      layout: MathQuizLayout.singleLine,
      operators: '+,-',
      blankCount: 1,
      blankType: MathQuizBlankType.operatorsOnly,
      operationCount: 2,
    ),
    const MathQuizDifficulty(
      levelIndex: 3,
      name: 'Lv. 3: 숫자 2개 (사칙연산)',
      contextId: 'MATH_L3_OP2_ANY',
      layout: MathQuizLayout.singleLine,
      operators: '+,-,*,/',
      blankCount: 2,
      blankType: MathQuizBlankType.numbersAndOperators,
      operationCount: 2,
    ),

    // --- 패턴 2: 숫자 3개 (A op1 B op2 C = D) [Lv 4-6] ---
    // (연산자 우선순위 *적용*)
    const MathQuizDifficulty(
      levelIndex: 4,
      name: 'Lv. 4: 숫자 3개 (숫자 빈칸)',
      contextId: 'MATH_L4_OP3_NUM',
      layout: MathQuizLayout.singleLine,
      operators: '+,-,*,/',
      blankCount: 2,
      blankType: MathQuizBlankType.numbersOnly,
      operationCount: 3, // A, B, C
    ),
    const MathQuizDifficulty(
      levelIndex: 5,
      name: 'Lv. 5: 숫자 3개 (연산자 빈칸)',
      contextId: 'MATH_L5_OP3_OP',
      layout: MathQuizLayout.singleLine,
      operators: '+,-,*,/',
      blankCount: 2,
      blankType: MathQuizBlankType.operatorsOnly,
      operationCount: 3,
    ),
    const MathQuizDifficulty(
      levelIndex: 6,
      name: 'Lv. 6: 숫자 3개 (랜덤 빈칸)',
      contextId: 'MATH_L6_OP3_ANY',
      layout: MathQuizLayout.singleLine,
      operators: '+,-,*,/',
      blankCount: 3,
      blankType: MathQuizBlankType.numbersAndOperators,
      operationCount: 3,
    ),

    // --- 패턴 3: 숫자 4개 (2x2 그리드 'ㄱ', 'ㄴ') [Lv 7-9] ---
    const MathQuizDifficulty(
      levelIndex: 7,
      name: 'Lv. 7: 숫자 4개 (숫자 빈칸)',
      contextId: 'MATH_L7_OP4_NUM',
      layout: MathQuizLayout.linkedL,
      operators: '+,-',
      blankCount: 2,
      blankType: MathQuizBlankType.numbersOnly,
      operationCount: 4, // A, B, C, D
    ),
    const MathQuizDifficulty(
      levelIndex: 8,
      name: 'Lv. 8: 숫자 4개 (연산자 빈칸)',
      contextId: 'MATH_L8_OP4_OP',
      layout: MathQuizLayout.linkedL,
      operators: '+,-',
      blankCount: 2,
      blankType: MathQuizBlankType.operatorsOnly,
      operationCount: 4,
    ),
    const MathQuizDifficulty(
      levelIndex: 9,
      name: 'Lv. 9: 숫자 4개 (사칙연산)',
      contextId: 'MATH_L9_OP4_ANY',
      layout: MathQuizLayout.linkedL,
      operators: '+,-,*,/',
      blankCount: 3,
      blankType: MathQuizBlankType.numbersAndOperators,
      operationCount: 4,
    ),
    
    // --- 패턴 4: 3x3 그리드 (숫자 9개) [Lv 10-12] ---
    const MathQuizDifficulty(
      levelIndex: 10,
      name: 'Lv. 10: 3x3 그리드 (숫자)',
      contextId: 'MATH_L10_OP9_NUM',
      layout: MathQuizLayout.gridSquare,
      operators: '+,-',
      blankCount: 3,
      blankType: MathQuizBlankType.numbersOnly,
      operationCount: 9, // 9 Variables
    ),
    const MathQuizDifficulty(
      levelIndex: 11,
      name: 'Lv. 11: 3x3 그리드 (연산자)',
      contextId: 'MATH_L11_OP9_OP',
      layout: MathQuizLayout.gridSquare,
      operators: '+,-',
      blankCount: 3,
      blankType: MathQuizBlankType.operatorsOnly,
      operationCount: 9,
    ),
    const MathQuizDifficulty(
      levelIndex: 12,
      name: 'Lv. 12: 3x3 그리드 (사칙연산)',
      contextId: 'MATH_L12_OP9_ANY',
      layout: MathQuizLayout.gridSquare,
      operators: '+,-,*,/',
      blankCount: 4,
      blankType: MathQuizBlankType.numbersAndOperators,
      operationCount: 9,
    ),
    
    // --- 패턴 5: 4x4 그리드 (숫자 16개) [Lv 13-15] ---
    const MathQuizDifficulty(
      levelIndex: 13,
      name: 'Lv. 13: 4x4 그리드 (숫자)',
      contextId: 'MATH_L13_OP16_NUM',
      layout: MathQuizLayout.gridSquare,
      operators: '+,-,*,/',
      blankCount: 5,
      blankType: MathQuizBlankType.numbersOnly,
      operationCount: 16,
    ),
    const MathQuizDifficulty(
      levelIndex: 14,
      name: 'Lv. 14: 4x4 그리드 (연산자)',
      contextId: 'MATH_L14_OP16_OP',
      layout: MathQuizLayout.gridSquare,
      operators: '+,-,*,/',
      blankCount: 5,
      blankType: MathQuizBlankType.operatorsOnly,
      operationCount: 16,
    ),
    const MathQuizDifficulty(
      levelIndex: 15,
      name: 'Lv. 15: 4x4 그리드 (랜덤)',
      contextId: 'MATH_L15_OP16_ANY',
      layout: MathQuizLayout.gridSquare,
      operators: '+,-,*,/',
      blankCount: 6,
      blankType: MathQuizBlankType.numbersAndOperators,
      operationCount: 16,
    ),
  ];

  /// 레벨 인덱스로 레벨 정보 찾기
  static MathQuizDifficulty getLevel(int levelIndex) {
    if (levelIndex < 1) levelIndex = 1;
    if (levelIndex > allDifficulties.length) levelIndex = allDifficulties.length;
    return allDifficulties.firstWhere((level) => level.levelIndex == levelIndex,
        orElse: () => allDifficulties[0]
    );
  }

  /// 랭킹 화면용 맵 (ContextId -> 이름)
  static Map<String, String> get contextIdToNameMap {
    return { for (var level in allDifficulties) level.contextId : level.name };
  }
}