| 1 | 1 | class BowlingGame: |
| 2 | 2 | def __init__(self): |
| 3 | | pass |
| 4 | | |
| 3 | """ |
| 4 | Initialize a new bowling game. |
| 5 | """ |
| 6 | self.rolls = [] |
| 7 | |
| 5 | 8 | def roll(self, pins): |
| 6 | | pass |
| 7 | | |
| 9 | """ |
| 10 | Record a roll in the game. |
| 11 | |
| 12 | Args: |
| 13 | pins (int): Number of pins knocked down in this roll. |
| 14 | |
| 15 | Raises: |
| 16 | ValueError: If the number of pins is invalid or game is already complete. |
| 17 | """ |
| 18 | # Validate pin count |
| 19 | if pins < 0 or pins > 10: |
| 20 | raise ValueError("invalid pin count") |
| 21 | |
| 22 | # Check if game is already complete |
| 23 | if self.is_game_complete(): |
| 24 | raise IndexError("cannot roll after game") |
| 25 | |
| 26 | # Validate frame rules for frames 1-9 |
| 27 | frame_index = len(self.rolls) // 2 |
| 28 | if frame_index < 9: # Frames 1-9 |
| 29 | if len(self.rolls) % 2 == 1: # Second roll of frame |
| 30 | # Check if sum exceeds 10 (unless first roll was a strike) |
| 31 | if self.rolls[-1] != 10 and self.rolls[-1] + pins > 10: |
| 32 | raise ValueError("invalid pin count") |
| 33 | |
| 34 | # Validate 10th frame rules |
| 35 | if len(self.rolls) >= 18: # In 10th frame (rolls 18+) |
| 36 | if len(self.rolls) == 18: # First roll of 10th frame |
| 37 | pass # Any value 0-10 is valid |
| 38 | elif len(self.rolls) == 19: # Second roll of 10th frame |
| 39 | # If first roll was a strike, any value 0-10 is valid |
| 40 | # Otherwise, sum must not exceed 10 |
| 41 | if len(self.rolls) > 18 and self.rolls[18] != 10 and self.rolls[18] + pins > 10: |
| 42 | raise ValueError("invalid pin count") |
| 43 | elif len(self.rolls) == 20: # Third roll of 10th frame (fill ball) |
| 44 | # Validate fill ball based on previous rolls |
| 45 | if len(self.rolls) > 19 and len(self.rolls) > 18 and self.rolls[18] == 10 and self.rolls[19] == 10: # Two strikes |
| 46 | # Any value 0-10 is valid for fill ball |
| 47 | if pins > 10: |
| 48 | raise ValueError("invalid pin count") |
| 49 | elif len(self.rolls) > 19 and len(self.rolls) > 18 and self.rolls[18] == 10: # First roll strike, second not strike |
| 50 | # Fill ball after strike + non-strike |
| 51 | if self.rolls[19] + pins > 10 and self.rolls[19] != 10: |
| 52 | raise ValueError("invalid fill balls") |
| 53 | if pins > 10: |
| 54 | raise ValueError("invalid pin count") |
| 55 | elif len(self.rolls) > 19 and len(self.rolls) > 18 and self.rolls[18] + self.rolls[19] == 10: # Spare in 10th frame |
| 56 | # Fill ball after spare |
| 57 | if pins > 10: |
| 58 | raise ValueError("invalid pin count") |
| 59 | else: |
| 60 | # This shouldn't happen - invalid state |
| 61 | raise ValueError("invalid fill balls") |
| 62 | |
| 63 | self.rolls.append(pins) |
| 64 | |
| 8 | 65 | def score(self): |
| 9 | | pass |
| 66 | """ |
| 67 | Calculate the total score for the game. |
| 68 | |
| 69 | Returns: |
| 70 | int: The total score for the game. |
| 71 | |
| 72 | Raises: |
| 73 | IndexError: If the game is not yet complete. |
| 74 | """ |
| 75 | if not self.is_game_complete(): |
| 76 | raise IndexError("game not yet complete") |
| 77 | |
| 78 | total_score = 0 |
| 79 | roll_index = 0 |
| 80 | |
| 81 | for frame in range(10): |
| 82 | if frame < 9: # Frames 1-9 |
| 83 | if self.is_strike(roll_index): # Strike |
| 84 | total_score += 10 + self.strike_bonus(roll_index) |
| 85 | roll_index += 1 |
| 86 | elif self.is_spare(roll_index): # Spare |
| 87 | total_score += 10 + self.spare_bonus(roll_index) |
| 88 | roll_index += 2 |
| 89 | else: # Open frame |
| 90 | total_score += self.sum_of_balls_in_frame(roll_index) |
| 91 | roll_index += 2 |
| 92 | else: # 10th frame |
| 93 | # For the 10th frame, we just sum the pins knocked down |
| 94 | # since any bonus is already included in the frame score |
| 95 | remaining_rolls = len(self.rolls) - roll_index |
| 96 | if remaining_rolls >= 3: # Strike in 10th frame |
| 97 | total_score += self.rolls[roll_index] + self.rolls[roll_index + 1] + self.rolls[roll_index + 2] |
| 98 | elif remaining_rolls == 2: # Spare or open in 10th frame |
| 99 | total_score += self.rolls[roll_index] + self.rolls[roll_index + 1] |
| 100 | elif remaining_rolls == 1: # Only one roll left |
| 101 | total_score += self.rolls[roll_index] |
| 102 | |
| 103 | return total_score |
| 104 | |
| 105 | def is_game_complete(self): |
| 106 | """ |
| 107 | Check if the game is complete. |
| 108 | |
| 109 | Returns: |
| 110 | bool: True if the game is complete, False otherwise. |
| 111 | """ |
| 112 | # Need at least 10 frames |
| 113 | if len(self.rolls) < 10: |
| 114 | return False |
| 115 | |
| 116 | # For a perfect game (12 strikes), we have 12 rolls total |
| 117 | # For a game with all spares, we have 21 rolls total (10 frames * 2 rolls + 1 bonus) |
| 118 | # For a standard game, we have 20 rolls total (10 frames * 2 rolls) |
| 119 | |
| 120 | # Count frames to determine completion |
| 121 | roll_index = 0 |
| 122 | frame_count = 0 |
| 123 | |
| 124 | # Process frames 1-9 |
| 125 | while frame_count < 9 and roll_index < len(self.rolls): |
| 126 | if roll_index < len(self.rolls) and self.rolls[roll_index] == 10: # Strike |
| 127 | roll_index += 1 # One roll for strike |
| 128 | else: # Open frame or spare |
| 129 | if roll_index + 1 < len(self.rolls): |
| 130 | roll_index += 2 # Two rolls for open frame or spare |
| 131 | else: |
| 132 | return False # Incomplete frame |
| 133 | frame_count += 1 |
| 134 | |
| 135 | # If we haven't completed 9 frames, game is not complete |
| 136 | if frame_count < 9: |
| 137 | return False |
| 138 | |
| 139 | # Check 10th frame |
| 140 | if roll_index >= len(self.rolls): |
| 141 | return False # No rolls for 10th frame yet |
| 142 | |
| 143 | # 10th frame |
| 144 | if roll_index < len(self.rolls) and self.rolls[roll_index] == 10: # Strike in 10th frame |
| 145 | # Need two more rolls |
| 146 | if roll_index + 2 >= len(self.rolls): |
| 147 | return False # Need more rolls |
| 148 | elif roll_index + 1 < len(self.rolls) and self.rolls[roll_index] + self.rolls[roll_index + 1] == 10: |
| 149 | # Spare in 10th frame |
| 150 | if roll_index + 2 >= len(self.rolls): |
| 151 | return False # Need one more roll |
| 152 | elif roll_index + 1 < len(self.rolls): |
| 153 | # Open frame in 10th frame |
| 154 | pass # No additional rolls needed |
| 155 | else: |
| 156 | return False # Incomplete 10th frame |
| 157 | |
| 158 | return True |
| 159 | |
| 160 | def is_strike(self, roll_index): |
| 161 | """ |
| 162 | Check if the roll at roll_index is a strike. |
| 163 | |
| 164 | Args: |
| 165 | roll_index (int): Index of the roll to check. |
| 166 | |
| 167 | Returns: |
| 168 | bool: True if it's a strike, False otherwise. |
| 169 | """ |
| 170 | return self.rolls[roll_index] == 10 |
| 171 | |
| 172 | def is_spare(self, roll_index): |
| 173 | """ |
| 174 | Check if the frame starting at roll_index is a spare. |
| 175 | |
| 176 | Args: |
| 177 | roll_index (int): Index of the first roll of the frame. |
| 178 | |
| 179 | Returns: |
| 180 | bool: True if it's a spare, False otherwise. |
| 181 | """ |
| 182 | return self.rolls[roll_index] + self.rolls[roll_index + 1] == 10 |
| 183 | |
| 184 | def strike_bonus(self, roll_index): |
| 185 | """ |
| 186 | Calculate the bonus for a strike. |
| 187 | |
| 188 | Args: |
| 189 | roll_index (int): Index of the strike roll. |
| 190 | |
| 191 | Returns: |
| 192 | int: The bonus points for the strike. |
| 193 | """ |
| 194 | # Need next two rolls for bonus |
| 195 | if roll_index + 2 >= len(self.rolls): |
| 196 | return 0 |
| 197 | return self.rolls[roll_index + 1] + self.rolls[roll_index + 2] |
| 198 | |
| 199 | def spare_bonus(self, roll_index): |
| 200 | """ |
| 201 | Calculate the bonus for a spare. |
| 202 | |
| 203 | Args: |
| 204 | roll_index (int): Index of the first roll of the spare frame. |
| 205 | |
| 206 | Returns: |
| 207 | int: The bonus points for the spare. |
| 208 | """ |
| 209 | # Need next one roll for bonus |
| 210 | if roll_index + 2 >= len(self.rolls): |
| 211 | return 0 |
| 212 | return self.rolls[roll_index + 2] |
| 213 | |
| 214 | def sum_of_balls_in_frame(self, roll_index): |
| 215 | """ |
| 216 | Calculate the sum of pins knocked down in a frame. |
| 217 | |
| 218 | Args: |
| 219 | roll_index (int): Index of the first roll of the frame. |
| 220 | |
| 221 | Returns: |
| 222 | int: The sum of pins knocked down in the frame. |
| 223 | """ |
| 224 | return self.rolls[roll_index] + self.rolls[roll_index + 1] |