|
| 1 | +import heapq |
| 2 | +from collections import deque |
| 3 | +from typing import List, Tuple, Dict, Set |
| 4 | + |
| 5 | +class SokobanState: |
| 6 | + """Represents a state in the Sokoban game""" |
| 7 | + def __init__(self, player_pos: Tuple[int, int], boxes: Set[Tuple[int, int]], level: List[List[str]]): |
| 8 | + self.player_pos = player_pos |
| 9 | + self.boxes = frozenset(boxes) # Use frozenset for hashing |
| 10 | + self.level = level |
| 11 | + self.goals = self._find_goals() |
| 12 | + |
| 13 | + def _find_goals(self) -> Set[Tuple[int, int]]: |
| 14 | + """Find all goal positions in the level""" |
| 15 | + goals = set() |
| 16 | + for y, row in enumerate(self.level): |
| 17 | + for x, cell in enumerate(row): |
| 18 | + if cell in '.+*': |
| 19 | + goals.add((x, y)) |
| 20 | + return goals |
| 21 | + |
| 22 | + def is_goal_state(self) -> bool: |
| 23 | + """Check if all boxes are on goal positions""" |
| 24 | + return all(box in self.goals for box in self.boxes) |
| 25 | + |
| 26 | + def __hash__(self): |
| 27 | + return hash((self.player_pos, self.boxes)) |
| 28 | + |
| 29 | + def __eq__(self, other): |
| 30 | + return self.player_pos == other.player_pos and self.boxes == other.boxes |
| 31 | + |
| 32 | +class SokobanSolver: |
| 33 | + """Solves Sokoban puzzles using A* search algorithm""" |
| 34 | + |
| 35 | + def __init__(self, level: List[str]): |
| 36 | + self.level = self._parse_level(level) |
| 37 | + self.initial_state = self._create_initial_state() |
| 38 | + self.moves = [(0, 1), (1, 0), (0, -1), (-1, 0)] # down, right, up, left |
| 39 | + self.move_names = ['D', 'R', 'U', 'L'] |
| 40 | + |
| 41 | + def _parse_level(self, level: List[str]) -> List[List[str]]: |
| 42 | + """Convert string level to 2D list""" |
| 43 | + return [list(row) for row in level] |
| 44 | + |
| 45 | + def _create_initial_state(self) -> SokobanState: |
| 46 | + """Create initial state from level""" |
| 47 | + player_pos = None |
| 48 | + boxes = set() |
| 49 | + |
| 50 | + for y, row in enumerate(self.level): |
| 51 | + for x, cell in enumerate(row): |
| 52 | + if cell in '@+': |
| 53 | + player_pos = (x, y) |
| 54 | + if cell in '$*': |
| 55 | + boxes.add((x, y)) |
| 56 | + |
| 57 | + return SokobanState(player_pos, boxes, self.level) |
| 58 | + |
| 59 | + def _is_wall(self, x: int, y: int) -> bool: |
| 60 | + """Check if position is a wall""" |
| 61 | + return self.level[y][x] == '#' |
| 62 | + |
| 63 | + def _is_valid_position(self, x: int, y: int) -> bool: |
| 64 | + """Check if position is within bounds and not a wall""" |
| 65 | + if x < 0 or x >= len(self.level[0]) or y < 0 or y >= len(self.level): |
| 66 | + return False |
| 67 | + return not self._is_wall(x, y) |
| 68 | + |
| 69 | + def _calculate_heuristic(self, state: SokobanState) -> int: |
| 70 | + """Calculate heuristic (Manhattan distance from boxes to nearest goals)""" |
| 71 | + if not state.goals: |
| 72 | + return 0 |
| 73 | + |
| 74 | + total_distance = 0 |
| 75 | + for box in state.boxes: |
| 76 | + min_distance = float('inf') |
| 77 | + for goal in state.goals: |
| 78 | + distance = abs(box[0] - goal[0]) + abs(box[1] - goal[1]) |
| 79 | + min_distance = min(min_distance, distance) |
| 80 | + total_distance += min_distance |
| 81 | + |
| 82 | + return total_distance |
| 83 | + |
| 84 | + def _get_successors(self, state: SokobanState) -> List[Tuple[SokobanState, str]]: |
| 85 | + """Get possible next states and the moves that lead to them""" |
| 86 | + successors = [] |
| 87 | + |
| 88 | + for i, (dx, dy) in enumerate(self.moves): |
| 89 | + # Calculate new player position |
| 90 | + new_x = state.player_pos[0] + dx |
| 91 | + new_y = state.player_pos[1] + dy |
| 92 | + |
| 93 | + if not self._is_valid_position(new_x, new_y): |
| 94 | + continue |
| 95 | + |
| 96 | + # Check if player is pushing a box |
| 97 | + box_pos = (new_x, new_y) |
| 98 | + if box_pos in state.boxes: |
| 99 | + # Calculate new box position |
| 100 | + new_box_x = new_x + dx |
| 101 | + new_box_y = new_y + dy |
| 102 | + |
| 103 | + # Check if box can be pushed |
| 104 | + if not self._is_valid_position(new_box_x, new_box_y): |
| 105 | + continue |
| 106 | + |
| 107 | + # Check if there's already a box at the new position |
| 108 | + new_box_pos = (new_box_x, new_box_y) |
| 109 | + if new_box_pos in state.boxes: |
| 110 | + continue |
| 111 | + |
| 112 | + # Create new state with pushed box |
| 113 | + new_boxes = set(state.boxes) |
| 114 | + new_boxes.remove(box_pos) |
| 115 | + new_boxes.add(new_box_pos) |
| 116 | + new_state = SokobanState((new_x, new_y), new_boxes, state.level) |
| 117 | + else: |
| 118 | + # Create new state with moved player |
| 119 | + new_state = SokobanState((new_x, new_y), state.boxes, state.level) |
| 120 | + |
| 121 | + successors.append((new_state, self.move_names[i])) |
| 122 | + |
| 123 | + return successors |
| 124 | + |
| 125 | + def solve(self) -> List[str]: |
| 126 | + """Solve the Sokoban puzzle using A* search""" |
| 127 | + frontier = [] |
| 128 | + heapq.heappush(frontier, (0, 0, self.initial_state, [])) |
| 129 | + explored = set() |
| 130 | + explored.add(self.initial_state) |
| 131 | + |
| 132 | + while frontier: |
| 133 | + _, cost, current_state, moves = heapq.heappop(frontier) |
| 134 | + |
| 135 | + if current_state.is_goal_state(): |
| 136 | + return moves |
| 137 | + |
| 138 | + for next_state, move in self._get_successors(current_state): |
| 139 | + if next_state not in explored: |
| 140 | + new_cost = cost + 1 |
| 141 | + priority = new_cost + self._calculate_heuristic(next_state) |
| 142 | + heapq.heappush(frontier, (priority, new_cost, next_state, moves + [move])) |
| 143 | + explored.add(next_state) |
| 144 | + |
| 145 | + return [] # No solution found |
| 146 | + |
| 147 | +# Example usage |
| 148 | +def print_level(level): |
| 149 | + """Print the level""" |
| 150 | + for row in level: |
| 151 | + print(''.join(row)) |
| 152 | + print() |
| 153 | + |
| 154 | +def apply_moves(level, moves): |
| 155 | + """Apply a sequence of moves to the level""" |
| 156 | + # Create a copy of the level as list of lists |
| 157 | + current_level = [list(row) for row in level] |
| 158 | + |
| 159 | + # Find player position |
| 160 | + player_pos = None |
| 161 | + for y, row in enumerate(current_level): |
| 162 | + for x, cell in enumerate(row): |
| 163 | + if cell in '@+': |
| 164 | + player_pos = (x, y) |
| 165 | + break |
| 166 | + if player_pos: |
| 167 | + break |
| 168 | + |
| 169 | + # Define move directions |
| 170 | + directions = {'D': (0, 1), 'R': (1, 0), 'U': (0, -1), 'L': (-1, 0)} |
| 171 | + |
| 172 | + for move in moves: |
| 173 | + dx, dy = directions[move] |
| 174 | + new_x, new_y = player_pos[0] + dx, player_pos[1] + dy |
| 175 | + |
| 176 | + # Check if player is pushing a box |
| 177 | + if current_level[new_y][new_x] in '$*': |
| 178 | + box_new_x, box_new_y = new_x + dx, new_y + dy |
| 179 | + |
| 180 | + # Update box position |
| 181 | + if current_level[new_y][new_x] == '$': |
| 182 | + current_level[new_y][new_x] = ' ' |
| 183 | + else: # current_level[new_y][new_x] == '*' |
| 184 | + current_level[new_y][new_x] = '.' |
| 185 | + |
| 186 | + if current_level[box_new_y][box_new_x] == '.': |
| 187 | + current_level[box_new_y][box_new_x] = '*' |
| 188 | + else: |
| 189 | + current_level[box_new_y][box_new_x] = '$' |
| 190 | + |
| 191 | + # Update player position |
| 192 | + if current_level[player_pos[1]][player_pos[0]] == '@': |
| 193 | + current_level[player_pos[1]][player_pos[0]] = ' ' |
| 194 | + else: # current_level[player_pos[1]][player_pos[0]] == '+' |
| 195 | + current_level[player_pos[1]][player_pos[0]] = '.' |
| 196 | + |
| 197 | + if current_level[new_y][new_x] == '.': |
| 198 | + current_level[new_y][new_x] = '+' |
| 199 | + else: |
| 200 | + current_level[new_y][new_x] = '@' |
| 201 | + |
| 202 | + player_pos = (new_x, new_y) |
| 203 | + |
| 204 | + print(f"Move: {move}") |
| 205 | + print_level(current_level) |
| 206 | + |
| 207 | + return current_level |
| 208 | + |
| 209 | +# Test with a simple level |
| 210 | +if __name__ == "__main__": |
| 211 | + # Simple example level |
| 212 | + level = [ |
| 213 | + "#####", |
| 214 | + "#@ $#", |
| 215 | + "# . #", |
| 216 | + "# #", |
| 217 | + "#####" |
| 218 | + ] |
| 219 | + |
| 220 | + print("Initial level:") |
| 221 | + print_level(level) |
| 222 | + |
| 223 | + solver = SokobanSolver(level) |
| 224 | + solution = solver.solve() |
| 225 | + |
| 226 | + if solution: |
| 227 | + print(f"Solution found: {solution}") |
| 228 | + print("\nApplying solution:") |
| 229 | + final_level = apply_moves(level, solution) |
| 230 | + else: |
| 231 | + print("No solution found!") |
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