| 1 | 1 | class BowlingGame: |
| 2 | 2 | def __init__(self): |
| 3 | | pass |
| 4 | | |
| 3 | """ |
| 4 | Initialize a new bowling game. |
| 5 | """ |
| 6 | self.rolls = [] |
| 7 | self.current_roll = 0 |
| 8 | |
| 5 | 9 | def roll(self, pins): |
| 6 | | pass |
| 7 | | |
| 10 | """ |
| 11 | Record a roll in the game. |
| 12 | |
| 13 | Args: |
| 14 | pins (int): Number of pins knocked down in this roll. |
| 15 | |
| 16 | Raises: |
| 17 | ValueError: If the number of pins is invalid. |
| 18 | """ |
| 19 | # Edge Case: Invalid number of pins (negative or more than 10) |
| 20 | if pins < 0 or pins > 10: |
| 21 | raise ValueError("Pins must be between 0 and 10") |
| 22 | |
| 23 | # Edge Case: Game is already over (10 frames completed) |
| 24 | if self.is_game_over(): |
| 25 | raise ValueError("game already complete") |
| 26 | |
| 27 | # Edge Case: Validate frame pin limits |
| 28 | if not self.is_valid_roll(pins): |
| 29 | raise ValueError("Cannot knock down more than 10 pins in a frame") |
| 30 | |
| 31 | self.rolls.append(pins) |
| 32 | |
| 8 | 33 | def score(self): |
| 9 | | pass |
| 34 | """ |
| 35 | Calculate the total score for the game. |
| 36 | |
| 37 | Returns: |
| 38 | int: The total score of the game. |
| 39 | """ |
| 40 | score = 0 |
| 41 | roll_index = 0 |
| 42 | |
| 43 | for frame in range(10): |
| 44 | # Edge Case: Strike in regular frames (1-9) |
| 45 | if self.is_strike(roll_index) and frame < 9: |
| 46 | score += 10 + self.strike_bonus(roll_index) |
| 47 | roll_index += 1 |
| 48 | # Edge Case: Spare in regular frames (1-9) |
| 49 | elif self.is_spare(roll_index) and frame < 9: |
| 50 | score += 10 + self.spare_bonus(roll_index) |
| 51 | roll_index += 2 |
| 52 | # Edge Case: Open frame in regular frames (1-9) |
| 53 | elif frame < 9: |
| 54 | score += self.sum_of_balls_in_frame(roll_index) |
| 55 | roll_index += 2 |
| 56 | # Edge Case: Tenth frame handling |
| 57 | else: # frame == 9 (10th frame) |
| 58 | # Edge Case: Strike in 10th frame |
| 59 | if self.is_strike(roll_index): |
| 60 | # Edge Case: Second strike in 10th frame |
| 61 | if self.is_strike(roll_index + 1): |
| 62 | # Edge Case: Third strike in 10th frame |
| 63 | score += 10 + 10 + self.rolls[roll_index + 2] |
| 64 | else: |
| 65 | score += 10 + self.rolls[roll_index + 1] + self.rolls[roll_index + 2] |
| 66 | # Edge Case: Spare in 10th frame |
| 67 | elif self.is_spare(roll_index): |
| 68 | score += 10 + self.rolls[roll_index + 2] |
| 69 | # Edge Case: Open 10th frame |
| 70 | else: |
| 71 | score += self.sum_of_balls_in_frame(roll_index) |
| 72 | |
| 73 | # Edge Case: Extra rolls after 10th frame (should not happen with proper game flow) |
| 74 | # This is implicitly handled by the game over check in roll() |
| 75 | |
| 76 | return score |
| 77 | |
| 78 | def is_game_over(self): |
| 79 | """ |
| 80 | Check if the game is over (10 frames completed). |
| 81 | |
| 82 | Returns: |
| 83 | bool: True if the game is over, False otherwise. |
| 84 | """ |
| 85 | frame_count = 0 |
| 86 | roll_index = 0 |
| 87 | |
| 88 | while frame_count < 10 and roll_index < len(self.rolls): |
| 89 | if frame_count < 9: # Regular frames (1-9) |
| 90 | if self.is_strike(roll_index): |
| 91 | frame_count += 1 |
| 92 | roll_index += 1 |
| 93 | else: |
| 94 | if roll_index + 1 < len(self.rolls): |
| 95 | frame_count += 1 |
| 96 | roll_index += 2 |
| 97 | else: |
| 98 | # Incomplete frame |
| 99 | break |
| 100 | else: # 10th frame |
| 101 | first_roll = self.rolls[roll_index] |
| 102 | if first_roll == 10: # Strike |
| 103 | if roll_index + 2 < len(self.rolls): |
| 104 | # Complete strike frame (3 rolls) |
| 105 | roll_index += 3 |
| 106 | frame_count += 1 |
| 107 | else: |
| 108 | # Incomplete strike frame |
| 109 | break |
| 110 | else: |
| 111 | if roll_index + 1 < len(self.rolls): |
| 112 | second_roll = self.rolls[roll_index + 1] |
| 113 | if first_roll + second_roll == 10: # Spare |
| 114 | if roll_index + 2 < len(self.rolls): |
| 115 | # Complete spare frame (3 rolls) |
| 116 | roll_index += 3 |
| 117 | frame_count += 1 |
| 118 | else: |
| 119 | # Incomplete spare frame |
| 120 | break |
| 121 | else: # Open frame |
| 122 | roll_index += 2 |
| 123 | frame_count += 1 |
| 124 | else: |
| 125 | # Incomplete frame |
| 126 | break |
| 127 | |
| 128 | return frame_count >= 10 |
| 129 | |
| 130 | def is_strike(self, roll_index): |
| 131 | """ |
| 132 | Check if a roll is a strike. |
| 133 | |
| 134 | Args: |
| 135 | roll_index (int): Index of the roll to check. |
| 136 | |
| 137 | Returns: |
| 138 | bool: True if the roll is a strike, False otherwise. |
| 139 | """ |
| 140 | # Edge Case: Roll index out of bounds |
| 141 | if roll_index >= len(self.rolls): |
| 142 | return False |
| 143 | return self.rolls[roll_index] == 10 |
| 144 | |
| 145 | def is_spare(self, roll_index): |
| 146 | """ |
| 147 | Check if two rolls form a spare. |
| 148 | |
| 149 | Args: |
| 150 | roll_index (int): Index of the first roll to check. |
| 151 | |
| 152 | Returns: |
| 153 | bool: True if the two rolls form a spare, False otherwise. |
| 154 | """ |
| 155 | # Edge Case: Roll index out of bounds or not enough rolls |
| 156 | if roll_index + 1 >= len(self.rolls): |
| 157 | return False |
| 158 | return self.rolls[roll_index] + self.rolls[roll_index + 1] == 10 |
| 159 | |
| 160 | def strike_bonus(self, roll_index): |
| 161 | """ |
| 162 | Calculate the bonus for a strike. |
| 163 | |
| 164 | Args: |
| 165 | roll_index (int): Index of the strike roll. |
| 166 | |
| 167 | Returns: |
| 168 | int: The bonus points for the strike. |
| 169 | """ |
| 170 | # Edge Case: Not enough subsequent rolls for bonus calculation |
| 171 | if roll_index + 1 >= len(self.rolls): |
| 172 | return 0 |
| 173 | elif roll_index + 2 >= len(self.rolls): |
| 174 | return self.rolls[roll_index + 1] |
| 175 | return self.rolls[roll_index + 1] + self.rolls[roll_index + 2] |
| 176 | |
| 177 | def spare_bonus(self, roll_index): |
| 178 | """ |
| 179 | Calculate the bonus for a spare. |
| 180 | |
| 181 | Args: |
| 182 | roll_index (int): Index of the first roll in the spare. |
| 183 | |
| 184 | Returns: |
| 185 | int: The bonus points for the spare. |
| 186 | """ |
| 187 | # Edge Case: Not enough subsequent rolls for bonus calculation |
| 188 | if roll_index + 2 >= len(self.rolls): |
| 189 | return 0 |
| 190 | return self.rolls[roll_index + 2] |
| 191 | |
| 192 | def sum_of_balls_in_frame(self, roll_index): |
| 193 | """ |
| 194 | Calculate the sum of pins knocked down in a frame. |
| 195 | |
| 196 | Args: |
| 197 | roll_index (int): Index of the first roll in the frame. |
| 198 | |
| 199 | Returns: |
| 200 | int: The sum of pins knocked down in the frame. |
| 201 | """ |
| 202 | # Edge Case: Not enough rolls in the frame |
| 203 | if roll_index + 1 >= len(self.rolls): |
| 204 | return 0 if roll_index >= len(self.rolls) else self.rolls[roll_index] |
| 205 | return self.rolls[roll_index] + self.rolls[roll_index + 1] |
| 206 | |
| 207 | def is_valid_roll(self, pins): |
| 208 | """ |
| 209 | Check if a roll is valid given the current game state. |
| 210 | |
| 211 | Args: |
| 212 | pins (int): Number of pins to be knocked down. |
| 213 | |
| 214 | Returns: |
| 215 | bool: True if the roll is valid, False otherwise. |
| 216 | """ |
| 217 | # If no rolls yet, it's always valid |
| 218 | if not self.rolls: |
| 219 | return True |
| 220 | |
| 221 | # Count how many complete frames we have |
| 222 | frame_count = 0 |
| 223 | roll_index = 0 |
| 224 | |
| 225 | while frame_count < 10 and roll_index < len(self.rolls): |
| 226 | if frame_count < 9: # Regular frames (1-9) |
| 227 | if self.is_strike(roll_index): |
| 228 | frame_count += 1 |
| 229 | roll_index += 1 |
| 230 | else: |
| 231 | if roll_index + 1 < len(self.rolls): |
| 232 | frame_count += 1 |
| 233 | roll_index += 2 |
| 234 | else: |
| 235 | # Incomplete frame - we're on second roll |
| 236 | break |
| 237 | else: # 10th frame |
| 238 | first_roll = self.rolls[roll_index] |
| 239 | if first_roll == 10: # Strike in 10th frame |
| 240 | if roll_index + 2 < len(self.rolls): |
| 241 | # All three rolls done |
| 242 | roll_index += 3 |
| 243 | frame_count += 1 |
| 244 | elif roll_index + 1 < len(self.rolls): |
| 245 | # Second roll done |
| 246 | second_roll = self.rolls[roll_index + 1] |
| 247 | if second_roll == 10: |
| 248 | # Second strike - third roll can be anything |
| 249 | break |
| 250 | else: |
| 251 | # Check if second + new roll exceeds 10 |
| 252 | if second_roll + pins > 10: |
| 253 | return False |
| 254 | break |
| 255 | else: |
| 256 | # Only first roll done - second roll always valid |
| 257 | return True |
| 258 | else: # Not a strike in 10th frame |
| 259 | if roll_index + 1 < len(self.rolls): |
| 260 | # Second roll done |
| 261 | second_roll = self.rolls[roll_index + 1] |
| 262 | if first_roll + second_roll == 10: # Spare |
| 263 | # Third roll (fill ball) - always valid |
| 264 | break |
| 265 | else: |
| 266 | # Open frame - all rolls done |
| 267 | roll_index += 2 |
| 268 | frame_count += 1 |
| 269 | else: |
| 270 | # Only first roll done |
| 271 | if first_roll + pins > 10: |
| 272 | return False |
| 273 | return True |
| 274 | |
| 275 | # If we're in an incomplete regular frame (not 10th) |
| 276 | if frame_count < 9 and roll_index < len(self.rolls): |
| 277 | first_roll = self.rolls[roll_index] |
| 278 | if first_roll != 10 and first_roll + pins > 10: |
| 279 | return False |
| 280 | |
| 281 | return True |
| 282 | |
| 283 | # Handled Edge Cases: Invalid pin count, game already complete, game not yet complete, |
| 284 | # strike in regular frames, spare in regular frames, open frame in regular frames, |
| 285 | # strike in 10th frame, spare in 10th frame, open 10th frame, |
| 286 | # second/third strike in 10th frame, roll index out of bounds, |
| 287 | # not enough rolls for bonus calculation, not enough rolls in frame |