| 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 pin count (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 |
| 24 | if self.is_game_over(): |
| 25 | raise ValueError("Game has ended") |
| 26 | |
| 27 | # Edge Case: In a frame, the sum of pins cannot exceed 10 (except for strikes) |
| 28 | # Check if this is the second roll in a frame (not a strike) |
| 29 | if (self.current_roll > 0 and |
| 30 | (self.current_roll + 1) % 2 == 0 and |
| 31 | self.rolls[-1] != 10): # Previous roll wasn't a strike |
| 32 | if self.rolls[-1] + pins > 10: |
| 33 | raise ValueError("Cannot knock down more than 10 pins in a frame") |
| 34 | |
| 35 | self.rolls.append(pins) |
| 36 | self.current_roll += 1 |
| 37 | |
| 8 | 38 | def score(self): |
| 9 | | pass |
| 39 | """ |
| 40 | Calculate the total score for the game. |
| 41 | |
| 42 | Returns: |
| 43 | int: The total score of the game. |
| 44 | |
| 45 | Raises: |
| 46 | ValueError: If the game is not yet complete. |
| 47 | """ |
| 48 | # Edge Case: Game is not complete |
| 49 | if not self.is_game_over(): |
| 50 | raise ValueError("Game is not complete yet") |
| 51 | |
| 52 | total_score = 0 |
| 53 | roll_index = 0 |
| 54 | |
| 55 | for frame in range(10): |
| 56 | # Edge Case: Strike (10 pins in first roll) |
| 57 | if self.is_strike(roll_index): |
| 58 | total_score += 10 + self.strike_bonus(roll_index) |
| 59 | roll_index += 1 |
| 60 | |
| 61 | # Edge Case: Tenth frame strike with insufficient rolls |
| 62 | if frame == 9 and roll_index > len(self.rolls): |
| 63 | raise ValueError("Not enough rolls to calculate score") |
| 64 | # Edge Case: Spare (10 pins in two rolls) |
| 65 | elif self.is_spare(roll_index): |
| 66 | total_score += 10 + self.spare_bonus(roll_index) |
| 67 | roll_index += 2 |
| 68 | |
| 69 | # Edge Case: Tenth frame spare with insufficient rolls |
| 70 | if frame == 9 and roll_index > len(self.rolls): |
| 71 | raise ValueError("Not enough rolls to calculate score") |
| 72 | # Edge Case: Open frame (less than 10 pins in two rolls) |
| 73 | else: |
| 74 | total_score += self.sum_of_balls_in_frame(roll_index) |
| 75 | roll_index += 2 |
| 76 | |
| 77 | return total_score |
| 78 | |
| 79 | def is_game_over(self): |
| 80 | """ |
| 81 | Check if the game is over. |
| 82 | |
| 83 | Returns: |
| 84 | bool: True if the game is over, False otherwise. |
| 85 | """ |
| 86 | # Special case: if we have exactly 20 rolls, check if it's a complete game with all open frames |
| 87 | if len(self.rolls) == 20: |
| 88 | # Count frames - if we have exactly 10 frames with 2 rolls each, game is over |
| 89 | frame_count = 0 |
| 90 | roll_index = 0 |
| 91 | |
| 92 | while roll_index < len(self.rolls) and frame_count < 10: |
| 93 | if self.rolls[roll_index] == 10: # Strike |
| 94 | frame_count += 1 |
| 95 | roll_index += 1 |
| 96 | else: |
| 97 | # Need two rolls for a non-strike frame |
| 98 | if roll_index + 1 < len(self.rolls): |
| 99 | frame_count += 1 |
| 100 | roll_index += 2 |
| 101 | else: |
| 102 | # Incomplete frame |
| 103 | break |
| 104 | |
| 105 | # If we completed exactly 10 frames with 20 rolls, game is over |
| 106 | if frame_count == 10 and roll_index == 20: |
| 107 | return True |
| 108 | |
| 109 | # Count frames properly considering strikes |
| 110 | frame_count = 0 |
| 111 | roll_index = 0 |
| 112 | |
| 113 | # Count frames until we reach 10 or run out of rolls |
| 114 | while roll_index < len(self.rolls) and frame_count < 10: |
| 115 | if self.rolls[roll_index] == 10: # Strike |
| 116 | frame_count += 1 |
| 117 | roll_index += 1 |
| 118 | else: |
| 119 | # Need two rolls for a non-strike frame |
| 120 | if roll_index + 1 < len(self.rolls): |
| 121 | frame_count += 1 |
| 122 | roll_index += 2 |
| 123 | else: |
| 124 | # Incomplete frame |
| 125 | return False |
| 126 | |
| 127 | # If we haven't completed 10 frames, game is not over |
| 128 | if frame_count < 10: |
| 129 | return False |
| 130 | |
| 131 | # We've completed 10 frames, now check if we need fill balls |
| 132 | # Find the start of the 10th frame |
| 133 | tenth_frame_start = self._find_tenth_frame_start() |
| 134 | if tenth_frame_start is None: |
| 135 | return False |
| 136 | |
| 137 | tenth_frame_first = self.rolls[tenth_frame_start] |
| 138 | |
| 139 | # If 10th frame is a strike |
| 140 | if tenth_frame_first == 10: |
| 141 | # Need exactly 2 fill balls |
| 142 | return len(self.rolls) == tenth_frame_start + 3 |
| 143 | |
| 144 | # If 10th frame has a second roll |
| 145 | if tenth_frame_start + 1 < len(self.rolls): |
| 146 | tenth_frame_second = self.rolls[tenth_frame_start + 1] |
| 147 | # If 10th frame is a spare |
| 148 | if tenth_frame_first + tenth_frame_second == 10: |
| 149 | # Need exactly 1 fill ball |
| 150 | return len(self.rolls) == tenth_frame_start + 3 |
| 151 | else: |
| 152 | # Open frame in 10th - no fill balls needed |
| 153 | return len(self.rolls) == tenth_frame_start + 2 |
| 154 | |
| 155 | return False |
| 156 | |
| 157 | def _find_tenth_frame_start(self): |
| 158 | """ |
| 159 | Find the starting index of the 10th frame. |
| 160 | |
| 161 | Returns: |
| 162 | int: Index of the first roll in the 10th frame, or None if not found. |
| 163 | """ |
| 164 | frame_count = 0 |
| 165 | roll_index = 0 |
| 166 | |
| 167 | while roll_index < len(self.rolls) and frame_count < 9: |
| 168 | if self.rolls[roll_index] == 10: # Strike |
| 169 | frame_count += 1 |
| 170 | roll_index += 1 |
| 171 | else: |
| 172 | # Need two rolls for a non-strike frame |
| 173 | if roll_index + 1 < len(self.rolls): |
| 174 | frame_count += 1 |
| 175 | roll_index += 2 |
| 176 | else: |
| 177 | return None |
| 178 | |
| 179 | return roll_index if frame_count == 9 else None |
| 180 | |
| 181 | def is_strike(self, roll_index): |
| 182 | """ |
| 183 | Check if a roll is a strike. |
| 184 | |
| 185 | Args: |
| 186 | roll_index (int): Index of the roll to check. |
| 187 | |
| 188 | Returns: |
| 189 | bool: True if the roll is a strike, False otherwise. |
| 190 | """ |
| 191 | return self.rolls[roll_index] == 10 |
| 192 | |
| 193 | def is_spare(self, roll_index): |
| 194 | """ |
| 195 | Check if a frame is a spare. |
| 196 | |
| 197 | Args: |
| 198 | roll_index (int): Index of the first roll in the frame. |
| 199 | |
| 200 | Returns: |
| 201 | bool: True if the frame is a spare, False otherwise. |
| 202 | """ |
| 203 | return self.rolls[roll_index] + self.rolls[roll_index + 1] == 10 |
| 204 | |
| 205 | def strike_bonus(self, roll_index): |
| 206 | """ |
| 207 | Calculate the bonus for a strike. |
| 208 | |
| 209 | Args: |
| 210 | roll_index (int): Index of the strike roll. |
| 211 | |
| 212 | Returns: |
| 213 | int: The bonus points for the strike. |
| 214 | """ |
| 215 | # Edge Case: Not enough rolls for bonus calculation |
| 216 | if roll_index + 2 >= len(self.rolls): |
| 217 | raise ValueError("Not enough rolls to calculate score") |
| 218 | |
| 219 | return self.rolls[roll_index + 1] + self.rolls[roll_index + 2] |
| 220 | |
| 221 | def spare_bonus(self, roll_index): |
| 222 | """ |
| 223 | Calculate the bonus for a spare. |
| 224 | |
| 225 | Args: |
| 226 | roll_index (int): Index of the first roll in the spare frame. |
| 227 | |
| 228 | Returns: |
| 229 | int: The bonus points for the spare. |
| 230 | """ |
| 231 | # Edge Case: Not enough rolls for bonus calculation |
| 232 | if roll_index + 2 >= len(self.rolls): |
| 233 | raise ValueError("Not enough rolls to calculate score") |
| 234 | |
| 235 | return self.rolls[roll_index + 2] |
| 236 | |
| 237 | def sum_of_balls_in_frame(self, roll_index): |
| 238 | """ |
| 239 | Calculate the sum of pins knocked down in a frame. |
| 240 | |
| 241 | Args: |
| 242 | roll_index (int): Index of the first roll in the frame. |
| 243 | |
| 244 | Returns: |
| 245 | int: The sum of pins knocked down in the frame. |
| 246 | """ |
| 247 | return self.rolls[roll_index] + self.rolls[roll_index + 1] |
| 248 | |
| 249 | # Handled Edge Cases: Invalid pin count, game already over, frame pin sum exceeding 10, |
| 250 | # game not complete for scoring, strike/spare in tenth frame, |
| 251 | # insufficient rolls for bonus calculation |