task2
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Before Width: | Height: | Size: 64 KiB After Width: | Height: | Size: 64 KiB |
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Before Width: | Height: | Size: 64 KiB After Width: | Height: | Size: 64 KiB |
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Before Width: | Height: | Size: 60 KiB After Width: | Height: | Size: 60 KiB |
24
petryaninyas/task2/README.md
Normal file
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@ -0,0 +1,24 @@
|
|||
# Maze Solver Project
|
||||
|
||||
ООП-проект для поиска выхода из лабиринта с паттернами:
|
||||
- Builder
|
||||
- Strategy
|
||||
- Observer
|
||||
- Command
|
||||
|
||||
## Запуск
|
||||
```bash
|
||||
python main.py
|
||||
```
|
||||
|
||||
## Эксперименты
|
||||
```bash
|
||||
python experiment.py
|
||||
```
|
||||
|
||||
Результаты сохраняются в папку `experiment_results/`.
|
||||
|
||||
## Требования
|
||||
```bash
|
||||
pip install -r requirements.txt
|
||||
```
|
||||
0
petryaninyas/task2/builders/__init__.py
Normal file
7
petryaninyas/task2/builders/maze_builder.py
Normal file
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|
|||
from abc import ABC, abstractmethod
|
||||
|
||||
|
||||
class MazeBuilder(ABC):
|
||||
@abstractmethod
|
||||
def buildFromFile(self, filename):
|
||||
raise NotImplementedError
|
||||
52
petryaninyas/task2/builders/text_file_maze_builder.py
Normal file
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|
|||
from core.cell import Cell
|
||||
from core.maze import Maze
|
||||
from builders.maze_builder import MazeBuilder
|
||||
|
||||
|
||||
class TextFileMazeBuilder(MazeBuilder):
|
||||
def buildFromFile(self, filename):
|
||||
with open(filename, "r", encoding="utf-8") as f:
|
||||
lines = [line.rstrip("\n") for line in f]
|
||||
|
||||
if not lines:
|
||||
raise ValueError("Maze file is empty")
|
||||
|
||||
width = max(len(line) for line in lines)
|
||||
height = len(lines)
|
||||
|
||||
cells = []
|
||||
startCell = None
|
||||
exitCell = None
|
||||
|
||||
for y, line in enumerate(lines):
|
||||
row = []
|
||||
for x in range(width):
|
||||
ch = line[x] if x < len(line) else "#"
|
||||
|
||||
if ch == "#":
|
||||
cell = Cell(x, y, isWall=True)
|
||||
elif ch == "S":
|
||||
if startCell is not None:
|
||||
raise ValueError("Multiple start cells found")
|
||||
cell = Cell(x, y, isWall=False, isStart=True)
|
||||
startCell = cell
|
||||
elif ch == "E":
|
||||
if exitCell is not None:
|
||||
raise ValueError("Multiple exit cells found")
|
||||
cell = Cell(x, y, isWall=False, isExit=True)
|
||||
exitCell = cell
|
||||
elif ch in (" ", "."):
|
||||
cell = Cell(x, y, isWall=False)
|
||||
elif ch.isdigit():
|
||||
cell = Cell(x, y, isWall=False, weight=max(1, int(ch)))
|
||||
else:
|
||||
raise ValueError(f"Unsupported symbol '{ch}' at ({x}, {y})")
|
||||
row.append(cell)
|
||||
cells.append(row)
|
||||
|
||||
if startCell is None:
|
||||
raise ValueError("Start cell 'S' not found")
|
||||
if exitCell is None:
|
||||
raise ValueError("Exit cell 'E' not found")
|
||||
|
||||
return Maze(cells, width, height, startCell, exitCell)
|
||||
0
petryaninyas/task2/commands/__init__.py
Normal file
11
petryaninyas/task2/commands/command.py
Normal file
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|
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|
|||
from abc import ABC, abstractmethod
|
||||
|
||||
|
||||
class Command(ABC):
|
||||
@abstractmethod
|
||||
def execute(self):
|
||||
raise NotImplementedError
|
||||
|
||||
@abstractmethod
|
||||
def undo(self):
|
||||
raise NotImplementedError
|
||||
37
petryaninyas/task2/commands/move_command.py
Normal file
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|
|||
from commands.command import Command
|
||||
|
||||
|
||||
class MoveCommand(Command):
|
||||
DIRECTION_TO_DELTA = {
|
||||
"W": (0, -1),
|
||||
"A": (-1, 0),
|
||||
"S": (0, 1),
|
||||
"D": (1, 0),
|
||||
}
|
||||
|
||||
def __init__(self, player, maze, direction):
|
||||
self.player = player
|
||||
self.maze = maze
|
||||
self.direction = direction.upper()
|
||||
self.previousCell = None
|
||||
|
||||
def execute(self):
|
||||
if self.direction not in self.DIRECTION_TO_DELTA:
|
||||
return False
|
||||
|
||||
dx, dy = self.DIRECTION_TO_DELTA[self.direction]
|
||||
current = self.player.currentCell
|
||||
new_cell = self.maze.getCell(current.x + dx, current.y + dy)
|
||||
|
||||
if new_cell is None or not new_cell.isPassable():
|
||||
return False
|
||||
|
||||
self.previousCell = current
|
||||
self.player.setCell(new_cell)
|
||||
return True
|
||||
|
||||
def undo(self):
|
||||
if self.previousCell is None:
|
||||
return False
|
||||
self.player.setCell(self.previousCell)
|
||||
return True
|
||||
0
petryaninyas/task2/controller/__init__.py
Normal file
30
petryaninyas/task2/controller/game_controller.py
Normal file
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|
|||
from commands.move_command import MoveCommand
|
||||
|
||||
|
||||
class GameController:
|
||||
def __init__(self, maze, player, view):
|
||||
self.maze = maze
|
||||
self.player = player
|
||||
self.view = view
|
||||
self.history = []
|
||||
|
||||
def move(self, direction):
|
||||
command = MoveCommand(self.player, self.maze, direction)
|
||||
if command.execute():
|
||||
self.history.append(command)
|
||||
self.view.update({"type": "move", "direction": direction})
|
||||
self.view.render(self.maze, player_position=self.player.currentCell)
|
||||
return True
|
||||
print("Cannot move there")
|
||||
return False
|
||||
|
||||
def undo(self):
|
||||
if not self.history:
|
||||
print("Nothing to undo")
|
||||
return False
|
||||
command = self.history.pop()
|
||||
if command.undo():
|
||||
self.view.update({"type": "undo"})
|
||||
self.view.render(self.maze, player_position=self.player.currentCell)
|
||||
return True
|
||||
return False
|
||||
0
petryaninyas/task2/core/__init__.py
Normal file
26
petryaninyas/task2/core/cell.py
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|
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|
|||
from dataclasses import dataclass
|
||||
|
||||
|
||||
@dataclass
|
||||
class Cell:
|
||||
x: int
|
||||
y: int
|
||||
isWall: bool = False
|
||||
isStart: bool = False
|
||||
isExit: bool = False
|
||||
weight: int = 1
|
||||
|
||||
def isPassable(self):
|
||||
return not self.isWall
|
||||
|
||||
def __repr__(self):
|
||||
parts = [f"Cell({self.x}, {self.y}"]
|
||||
if self.isWall:
|
||||
parts.append("WALL")
|
||||
if self.isStart:
|
||||
parts.append("START")
|
||||
if self.isExit:
|
||||
parts.append("EXIT")
|
||||
if self.weight != 1:
|
||||
parts.append(f"w={self.weight}")
|
||||
return ", ".join(parts) + ")"
|
||||
49
petryaninyas/task2/core/maze.py
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|
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|
|||
class Maze:
|
||||
def __init__(self, cells, width, height, startCell=None, exitCell=None):
|
||||
self.cells = cells
|
||||
self.width = width
|
||||
self.height = height
|
||||
self.startCell = startCell
|
||||
self.exitCell = exitCell
|
||||
|
||||
def getCell(self, x, y):
|
||||
if 0 <= x < self.width and 0 <= y < self.height:
|
||||
return self.cells[y][x]
|
||||
return None
|
||||
|
||||
def getNeighbors(self, cell):
|
||||
neighbors = []
|
||||
for dx, dy in ((0, -1), (0, 1), (-1, 0), (1, 0)):
|
||||
nx, ny = cell.x + dx, cell.y + dy
|
||||
neighbor = self.getCell(nx, ny)
|
||||
if neighbor is not None and neighbor.isPassable():
|
||||
neighbors.append(neighbor)
|
||||
return neighbors
|
||||
|
||||
def render_lines(self, player_position=None, path=None):
|
||||
path_set = {(c.x, c.y) for c in path} if path else set()
|
||||
player_pos = None if player_position is None else (player_position.x, player_position.y)
|
||||
lines = []
|
||||
for y in range(self.height):
|
||||
row = []
|
||||
for x in range(self.width):
|
||||
cell = self.cells[y][x]
|
||||
if player_pos == (x, y):
|
||||
row.append("P")
|
||||
elif cell.isStart:
|
||||
row.append("S")
|
||||
elif cell.isExit:
|
||||
row.append("E")
|
||||
elif cell.isWall:
|
||||
row.append("#")
|
||||
elif (x, y) in path_set:
|
||||
row.append("*")
|
||||
elif cell.weight > 1:
|
||||
row.append(str(cell.weight))
|
||||
else:
|
||||
row.append(" ")
|
||||
lines.append("".join(row))
|
||||
return lines
|
||||
|
||||
def render(self, player_position=None, path=None):
|
||||
return "\n".join(self.render_lines(player_position=player_position, path=path))
|
||||
6
petryaninyas/task2/core/player.py
Normal file
|
|
@ -0,0 +1,6 @@
|
|||
class Player:
|
||||
def __init__(self, currentCell):
|
||||
self.currentCell = currentCell
|
||||
|
||||
def setCell(self, cell):
|
||||
self.currentCell = cell
|
||||
11
petryaninyas/task2/core/search_stats.py
Normal file
|
|
@ -0,0 +1,11 @@
|
|||
from dataclasses import dataclass, field
|
||||
|
||||
|
||||
@dataclass
|
||||
class SearchStats:
|
||||
timeMs: float
|
||||
visitedCells: int
|
||||
pathLength: int
|
||||
path: list = field(default_factory=list)
|
||||
found: bool = False
|
||||
algorithm: str = ""
|
||||
BIN
petryaninyas/task2/docs/отчёт по лаб 2.docx
Normal file
225
petryaninyas/task2/experiment.py
Normal file
|
|
@ -0,0 +1,225 @@
|
|||
from pathlib import Path
|
||||
from statistics import mean
|
||||
import csv
|
||||
import random
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
from core.cell import Cell
|
||||
from core.maze import Maze
|
||||
from solver.maze_solver import MazeSolver
|
||||
from strategies.astar_strategy import AStarStrategy
|
||||
from strategies.bfs_strategy import BFSStrategy
|
||||
from strategies.dfs_strategy import DFSStrategy
|
||||
from strategies.dijkstra_strategy import DijkstraStrategy
|
||||
|
||||
|
||||
BASE_DIR = Path(__file__).resolve().parent
|
||||
OUT_DIR = BASE_DIR / "experiment_results"
|
||||
|
||||
|
||||
def build_maze_from_symbols(lines):
|
||||
height = len(lines)
|
||||
width = max(len(line) for line in lines)
|
||||
cells = []
|
||||
start = None
|
||||
exit_cell = None
|
||||
for y, line in enumerate(lines):
|
||||
row = []
|
||||
for x in range(width):
|
||||
ch = line[x] if x < len(line) else "#"
|
||||
if ch == "#":
|
||||
cell = Cell(x, y, isWall=True)
|
||||
elif ch == "S":
|
||||
cell = Cell(x, y, isWall=False, isStart=True)
|
||||
start = cell
|
||||
elif ch == "E":
|
||||
cell = Cell(x, y, isWall=False, isExit=True)
|
||||
exit_cell = cell
|
||||
elif ch == " " or ch == ".":
|
||||
cell = Cell(x, y, isWall=False)
|
||||
elif ch.isdigit():
|
||||
cell = Cell(x, y, isWall=False, weight=int(ch))
|
||||
else:
|
||||
raise ValueError(f"Unknown symbol '{ch}' at {x},{y}")
|
||||
row.append(cell)
|
||||
cells.append(row)
|
||||
return Maze(cells, width, height, start, exit_cell)
|
||||
|
||||
|
||||
def generate_empty_maze(width, height):
|
||||
lines = [" " * width for _ in range(height)]
|
||||
lines = [list(row) for row in lines]
|
||||
lines[1][1] = "S"
|
||||
lines[height - 2][width - 2] = "E"
|
||||
return build_maze_from_symbols(["".join(row) for row in lines])
|
||||
|
||||
|
||||
def generate_simple_maze(width, height):
|
||||
grid = [["#" for _ in range(width)] for _ in range(height)]
|
||||
for x in range(1, width - 1):
|
||||
grid[1][x] = " "
|
||||
for y in range(1, height - 1):
|
||||
grid[y][width - 2] = " "
|
||||
grid[1][1] = "S"
|
||||
grid[height - 2][width - 2] = "E"
|
||||
return build_maze_from_symbols(["".join(row) for row in grid])
|
||||
|
||||
|
||||
def generate_branching_maze(width, height, seed=42, wall_density=0.30):
|
||||
rng = random.Random(seed)
|
||||
grid = [["#" for _ in range(width)] for _ in range(height)]
|
||||
x, y = 1, 1
|
||||
grid[y][x] = "S"
|
||||
while (x, y) != (width - 2, height - 2):
|
||||
candidates = []
|
||||
for dx, dy in [(1, 0), (0, 1)]:
|
||||
nx, ny = x + dx, y + dy
|
||||
if 1 <= nx < width - 1 and 1 <= ny < height - 1:
|
||||
candidates.append((nx, ny))
|
||||
if not candidates:
|
||||
break
|
||||
x, y = rng.choice(candidates)
|
||||
grid[y][x] = " "
|
||||
grid[height - 2][width - 2] = "E"
|
||||
|
||||
# carve extra corridors and dead ends
|
||||
for yy in range(1, height - 1):
|
||||
for xx in range(1, width - 1):
|
||||
if grid[yy][xx] == "#" and rng.random() > wall_density:
|
||||
grid[yy][xx] = " "
|
||||
grid[1][1] = "S"
|
||||
grid[height - 2][width - 2] = "E"
|
||||
return build_maze_from_symbols(["".join(row) for row in grid])
|
||||
|
||||
|
||||
def generate_no_path_maze(width, height):
|
||||
grid = [[" " for _ in range(width)] for _ in range(height)]
|
||||
for x in range(width):
|
||||
grid[height // 2][x] = "#"
|
||||
grid[1][1] = "S"
|
||||
grid[height - 2][width - 2] = "E"
|
||||
return build_maze_from_symbols(["".join(row) for row in grid])
|
||||
|
||||
|
||||
def generate_weighted_maze(width, height, seed=123):
|
||||
rng = random.Random(seed)
|
||||
grid = [[" " for _ in range(width)] for _ in range(height)]
|
||||
for y in range(height):
|
||||
for x in range(width):
|
||||
r = rng.random()
|
||||
if r < 0.12:
|
||||
grid[y][x] = "#"
|
||||
elif r < 0.25:
|
||||
grid[y][x] = "3"
|
||||
elif r < 0.40:
|
||||
grid[y][x] = "2"
|
||||
else:
|
||||
grid[y][x] = "1"
|
||||
# ensure path-ish
|
||||
for x in range(width):
|
||||
grid[1][x] = "1"
|
||||
for y in range(1, height):
|
||||
grid[y][width - 2] = "1"
|
||||
grid[1][1] = "S"
|
||||
grid[height - 2][width - 2] = "E"
|
||||
return build_maze_from_symbols(["".join(row) for row in grid])
|
||||
|
||||
|
||||
def bench_one_maze(maze_name, maze, strategies, repeats=5):
|
||||
summary_rows = []
|
||||
raw_rows = []
|
||||
for strategy_name, strategy_factory in strategies:
|
||||
times, visiteds, lengths = [], [], []
|
||||
for run in range(1, repeats + 1):
|
||||
solver = MazeSolver(maze)
|
||||
solver.setStrategy(strategy_factory())
|
||||
stats = solver.solve()
|
||||
raw_rows.append([maze_name, strategy_name, run, f"{stats.timeMs:.6f}", stats.visitedCells, stats.pathLength])
|
||||
times.append(stats.timeMs)
|
||||
visiteds.append(stats.visitedCells)
|
||||
lengths.append(stats.pathLength)
|
||||
summary_rows.append([maze_name, strategy_name, f"{mean(times):.6f}", f"{mean(visiteds):.2f}", f"{mean(lengths):.2f}", repeats])
|
||||
return summary_rows, raw_rows
|
||||
|
||||
|
||||
def save_csv(path, rows):
|
||||
with open(path, "w", newline="", encoding="utf-8") as f:
|
||||
csv.writer(f).writerows(rows)
|
||||
|
||||
|
||||
def plot_summary(summary_rows):
|
||||
by_maze = {}
|
||||
for row in summary_rows[1:]:
|
||||
maze_name, strategy, avg_time, avg_visited, avg_len, runs = row
|
||||
by_maze.setdefault(maze_name, []).append((strategy, float(avg_time), float(avg_visited), float(avg_len)))
|
||||
|
||||
for maze_name, items in by_maze.items():
|
||||
items.sort(key=lambda t: t[0])
|
||||
strategies = [i[0] for i in items]
|
||||
x = list(range(len(strategies)))
|
||||
|
||||
plt.figure(figsize=(8, 4))
|
||||
plt.bar(x, [i[1] for i in items])
|
||||
plt.xticks(x, strategies)
|
||||
plt.ylabel("ms")
|
||||
plt.title(f"{maze_name} — avg time")
|
||||
plt.tight_layout()
|
||||
plt.savefig(OUT_DIR / f"{maze_name}_time.png", dpi=150)
|
||||
plt.close()
|
||||
|
||||
plt.figure(figsize=(8, 4))
|
||||
plt.bar(x, [i[2] for i in items])
|
||||
plt.xticks(x, strategies)
|
||||
plt.ylabel("cells")
|
||||
plt.title(f"{maze_name} — visited cells")
|
||||
plt.tight_layout()
|
||||
plt.savefig(OUT_DIR / f"{maze_name}_visited.png", dpi=150)
|
||||
plt.close()
|
||||
|
||||
plt.figure(figsize=(8, 4))
|
||||
plt.bar(x, [i[3] for i in items])
|
||||
plt.xticks(x, strategies)
|
||||
plt.ylabel("cells")
|
||||
plt.title(f"{maze_name} — path length")
|
||||
plt.tight_layout()
|
||||
plt.savefig(OUT_DIR / f"{maze_name}_length.png", dpi=150)
|
||||
plt.close()
|
||||
|
||||
|
||||
def main():
|
||||
OUT_DIR.mkdir(exist_ok=True)
|
||||
|
||||
strategies = [
|
||||
("BFS", BFSStrategy),
|
||||
("DFS", DFSStrategy),
|
||||
("A*", AStarStrategy),
|
||||
("Dijkstra", DijkstraStrategy),
|
||||
]
|
||||
|
||||
mazes = [
|
||||
("small_10x10", generate_simple_maze(10, 10)),
|
||||
("medium_50x50", generate_branching_maze(50, 50)),
|
||||
("large_100x100", generate_branching_maze(100, 100, seed=99, wall_density=0.35)),
|
||||
("empty_30x30", generate_empty_maze(30, 30)),
|
||||
("no_path_30x30", generate_no_path_maze(30, 30)),
|
||||
("weighted_30x30", generate_weighted_maze(30, 30)),
|
||||
]
|
||||
|
||||
summary = [["maze", "strategy", "avg_time_ms", "avg_visited_cells", "avg_path_length", "runs"]]
|
||||
raw = [["maze", "strategy", "run", "time_ms", "visited_cells", "path_length"]]
|
||||
|
||||
for maze_name, maze in mazes:
|
||||
s_rows, r_rows = bench_one_maze(maze_name, maze, strategies, repeats=5)
|
||||
summary.extend(s_rows)
|
||||
raw.extend(r_rows)
|
||||
|
||||
save_csv(OUT_DIR / "summary.csv", summary)
|
||||
save_csv(OUT_DIR / "raw.csv", raw)
|
||||
plot_summary(summary)
|
||||
|
||||
print("Saved to", OUT_DIR.resolve())
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
main()
|
||||
BIN
petryaninyas/task2/experiment_results/empty_30x30_length.png
Normal file
|
After Width: | Height: | Size: 27 KiB |
BIN
petryaninyas/task2/experiment_results/empty_30x30_time.png
Normal file
|
After Width: | Height: | Size: 19 KiB |
BIN
petryaninyas/task2/experiment_results/empty_30x30_visited.png
Normal file
|
After Width: | Height: | Size: 23 KiB |
BIN
petryaninyas/task2/experiment_results/large_100x100_length.png
Normal file
|
After Width: | Height: | Size: 28 KiB |
BIN
petryaninyas/task2/experiment_results/large_100x100_time.png
Normal file
|
After Width: | Height: | Size: 22 KiB |
BIN
petryaninyas/task2/experiment_results/large_100x100_visited.png
Normal file
|
After Width: | Height: | Size: 25 KiB |
BIN
petryaninyas/task2/experiment_results/medium_50x50_length.png
Normal file
|
After Width: | Height: | Size: 24 KiB |
BIN
petryaninyas/task2/experiment_results/medium_50x50_time.png
Normal file
|
After Width: | Height: | Size: 19 KiB |
BIN
petryaninyas/task2/experiment_results/medium_50x50_visited.png
Normal file
|
After Width: | Height: | Size: 27 KiB |
BIN
petryaninyas/task2/experiment_results/no_path_30x30_length.png
Normal file
|
After Width: | Height: | Size: 23 KiB |
BIN
petryaninyas/task2/experiment_results/no_path_30x30_time.png
Normal file
|
After Width: | Height: | Size: 23 KiB |
BIN
petryaninyas/task2/experiment_results/no_path_30x30_visited.png
Normal file
|
After Width: | Height: | Size: 22 KiB |
121
petryaninyas/task2/experiment_results/raw.csv
Normal file
|
|
@ -0,0 +1,121 @@
|
|||
maze,strategy,run,time_ms,visited_cells,path_length
|
||||
small_10x10,BFS,1,0.086300,15,15
|
||||
small_10x10,BFS,2,0.061100,15,15
|
||||
small_10x10,BFS,3,0.059300,15,15
|
||||
small_10x10,BFS,4,0.058400,15,15
|
||||
small_10x10,BFS,5,0.058500,15,15
|
||||
small_10x10,DFS,1,0.073400,15,15
|
||||
small_10x10,DFS,2,0.063500,15,15
|
||||
small_10x10,DFS,3,0.062500,15,15
|
||||
small_10x10,DFS,4,0.062700,15,15
|
||||
small_10x10,DFS,5,0.070900,15,15
|
||||
small_10x10,A*,1,0.110100,15,15
|
||||
small_10x10,A*,2,0.089200,15,15
|
||||
small_10x10,A*,3,0.087800,15,15
|
||||
small_10x10,A*,4,0.087600,15,15
|
||||
small_10x10,A*,5,0.087000,15,15
|
||||
small_10x10,Dijkstra,1,0.290000,15,15
|
||||
small_10x10,Dijkstra,2,0.083300,15,15
|
||||
small_10x10,Dijkstra,3,0.091500,15,15
|
||||
small_10x10,Dijkstra,4,0.081000,15,15
|
||||
small_10x10,Dijkstra,5,0.080400,15,15
|
||||
medium_50x50,BFS,1,6.799200,1579,95
|
||||
medium_50x50,BFS,2,6.960100,1579,95
|
||||
medium_50x50,BFS,3,6.337000,1579,95
|
||||
medium_50x50,BFS,4,7.431700,1579,95
|
||||
medium_50x50,BFS,5,6.517900,1579,95
|
||||
medium_50x50,DFS,1,6.463000,1277,647
|
||||
medium_50x50,DFS,2,6.815500,1277,647
|
||||
medium_50x50,DFS,3,5.816100,1277,647
|
||||
medium_50x50,DFS,4,6.492400,1277,647
|
||||
medium_50x50,DFS,5,6.532500,1277,647
|
||||
medium_50x50,A*,1,6.940500,927,95
|
||||
medium_50x50,A*,2,7.275400,927,95
|
||||
medium_50x50,A*,3,7.062500,927,95
|
||||
medium_50x50,A*,4,7.727600,927,95
|
||||
medium_50x50,A*,5,7.321000,927,95
|
||||
medium_50x50,Dijkstra,1,11.483200,1579,95
|
||||
medium_50x50,Dijkstra,2,11.194200,1579,95
|
||||
medium_50x50,Dijkstra,3,11.255200,1579,95
|
||||
medium_50x50,Dijkstra,4,10.512500,1579,95
|
||||
medium_50x50,Dijkstra,5,10.696400,1579,95
|
||||
large_100x100,BFS,1,25.623500,5566,195
|
||||
large_100x100,BFS,2,24.348800,5566,195
|
||||
large_100x100,BFS,3,25.452600,5566,195
|
||||
large_100x100,BFS,4,30.516900,5566,195
|
||||
large_100x100,BFS,5,33.694700,5566,195
|
||||
large_100x100,DFS,1,19.415200,3543,1531
|
||||
large_100x100,DFS,2,19.919000,3543,1531
|
||||
large_100x100,DFS,3,19.104600,3543,1531
|
||||
large_100x100,DFS,4,20.000600,3543,1531
|
||||
large_100x100,DFS,5,17.840200,3543,1531
|
||||
large_100x100,A*,1,7.509300,853,195
|
||||
large_100x100,A*,2,7.221200,853,195
|
||||
large_100x100,A*,3,6.486700,853,195
|
||||
large_100x100,A*,4,6.357600,853,195
|
||||
large_100x100,A*,5,6.723800,853,195
|
||||
large_100x100,Dijkstra,1,40.782300,5571,195
|
||||
large_100x100,Dijkstra,2,41.155000,5571,195
|
||||
large_100x100,Dijkstra,3,39.456200,5571,195
|
||||
large_100x100,Dijkstra,4,41.388700,5571,195
|
||||
large_100x100,Dijkstra,5,40.962500,5571,195
|
||||
empty_30x30,BFS,1,4.143200,896,55
|
||||
empty_30x30,BFS,2,3.987000,896,55
|
||||
empty_30x30,BFS,3,3.777100,896,55
|
||||
empty_30x30,BFS,4,3.682300,896,55
|
||||
empty_30x30,BFS,5,3.737900,896,55
|
||||
empty_30x30,DFS,1,4.024200,842,815
|
||||
empty_30x30,DFS,2,4.333900,842,815
|
||||
empty_30x30,DFS,3,5.411000,842,815
|
||||
empty_30x30,DFS,4,4.677200,842,815
|
||||
empty_30x30,DFS,5,5.177400,842,815
|
||||
empty_30x30,A*,1,6.603700,784,55
|
||||
empty_30x30,A*,2,6.200600,784,55
|
||||
empty_30x30,A*,3,6.798400,784,55
|
||||
empty_30x30,A*,4,7.178500,784,55
|
||||
empty_30x30,A*,5,6.660800,784,55
|
||||
empty_30x30,Dijkstra,1,6.396000,896,55
|
||||
empty_30x30,Dijkstra,2,6.275200,896,55
|
||||
empty_30x30,Dijkstra,3,6.845700,896,55
|
||||
empty_30x30,Dijkstra,4,6.531200,896,55
|
||||
empty_30x30,Dijkstra,5,6.783400,896,55
|
||||
no_path_30x30,BFS,1,2.000100,450,0
|
||||
no_path_30x30,BFS,2,1.797900,450,0
|
||||
no_path_30x30,BFS,3,1.796200,450,0
|
||||
no_path_30x30,BFS,4,1.774100,450,0
|
||||
no_path_30x30,BFS,5,1.775200,450,0
|
||||
no_path_30x30,DFS,1,2.090400,450,0
|
||||
no_path_30x30,DFS,2,2.222600,450,0
|
||||
no_path_30x30,DFS,3,2.454300,450,0
|
||||
no_path_30x30,DFS,4,2.476200,450,0
|
||||
no_path_30x30,DFS,5,2.073700,450,0
|
||||
no_path_30x30,A*,1,3.651700,450,0
|
||||
no_path_30x30,A*,2,3.495200,450,0
|
||||
no_path_30x30,A*,3,3.754200,450,0
|
||||
no_path_30x30,A*,4,3.286800,450,0
|
||||
no_path_30x30,A*,5,3.335200,450,0
|
||||
no_path_30x30,Dijkstra,1,3.050900,450,0
|
||||
no_path_30x30,Dijkstra,2,3.109900,450,0
|
||||
no_path_30x30,Dijkstra,3,3.292500,450,0
|
||||
no_path_30x30,Dijkstra,4,3.418600,450,0
|
||||
no_path_30x30,Dijkstra,5,3.212100,450,0
|
||||
weighted_30x30,BFS,1,3.418900,788,55
|
||||
weighted_30x30,BFS,2,3.368200,788,55
|
||||
weighted_30x30,BFS,3,3.516400,788,55
|
||||
weighted_30x30,BFS,4,3.224300,788,55
|
||||
weighted_30x30,BFS,5,3.131100,788,55
|
||||
weighted_30x30,DFS,1,3.291200,693,479
|
||||
weighted_30x30,DFS,2,3.362300,693,479
|
||||
weighted_30x30,DFS,3,3.523200,693,479
|
||||
weighted_30x30,DFS,4,3.521400,693,479
|
||||
weighted_30x30,DFS,5,3.332300,693,479
|
||||
weighted_30x30,A*,1,1.181000,126,55
|
||||
weighted_30x30,A*,2,1.080200,126,55
|
||||
weighted_30x30,A*,3,1.368400,126,55
|
||||
weighted_30x30,A*,4,1.109800,126,55
|
||||
weighted_30x30,A*,5,1.079300,126,55
|
||||
weighted_30x30,Dijkstra,1,6.112700,781,55
|
||||
weighted_30x30,Dijkstra,2,5.464800,781,55
|
||||
weighted_30x30,Dijkstra,3,5.794500,781,55
|
||||
weighted_30x30,Dijkstra,4,6.171700,781,55
|
||||
weighted_30x30,Dijkstra,5,6.640500,781,55
|
||||
|
BIN
petryaninyas/task2/experiment_results/small_10x10_length.png
Normal file
|
After Width: | Height: | Size: 20 KiB |
BIN
petryaninyas/task2/experiment_results/small_10x10_time.png
Normal file
|
After Width: | Height: | Size: 23 KiB |
BIN
petryaninyas/task2/experiment_results/small_10x10_visited.png
Normal file
|
After Width: | Height: | Size: 20 KiB |
25
petryaninyas/task2/experiment_results/summary.csv
Normal file
|
|
@ -0,0 +1,25 @@
|
|||
maze,strategy,avg_time_ms,avg_visited_cells,avg_path_length,runs
|
||||
small_10x10,BFS,0.064720,15.00,15.00,5
|
||||
small_10x10,DFS,0.066600,15.00,15.00,5
|
||||
small_10x10,A*,0.092340,15.00,15.00,5
|
||||
small_10x10,Dijkstra,0.125240,15.00,15.00,5
|
||||
medium_50x50,BFS,6.809180,1579.00,95.00,5
|
||||
medium_50x50,DFS,6.423900,1277.00,647.00,5
|
||||
medium_50x50,A*,7.265400,927.00,95.00,5
|
||||
medium_50x50,Dijkstra,11.028300,1579.00,95.00,5
|
||||
large_100x100,BFS,27.927300,5566.00,195.00,5
|
||||
large_100x100,DFS,19.255920,3543.00,1531.00,5
|
||||
large_100x100,A*,6.859720,853.00,195.00,5
|
||||
large_100x100,Dijkstra,40.748940,5571.00,195.00,5
|
||||
empty_30x30,BFS,3.865500,896.00,55.00,5
|
||||
empty_30x30,DFS,4.724740,842.00,815.00,5
|
||||
empty_30x30,A*,6.688400,784.00,55.00,5
|
||||
empty_30x30,Dijkstra,6.566300,896.00,55.00,5
|
||||
no_path_30x30,BFS,1.828700,450.00,0.00,5
|
||||
no_path_30x30,DFS,2.263440,450.00,0.00,5
|
||||
no_path_30x30,A*,3.504620,450.00,0.00,5
|
||||
no_path_30x30,Dijkstra,3.216800,450.00,0.00,5
|
||||
weighted_30x30,BFS,3.331780,788.00,55.00,5
|
||||
weighted_30x30,DFS,3.406080,693.00,479.00,5
|
||||
weighted_30x30,A*,1.163740,126.00,55.00,5
|
||||
weighted_30x30,Dijkstra,6.036840,781.00,55.00,5
|
||||
|
BIN
petryaninyas/task2/experiment_results/weighted_30x30_length.png
Normal file
|
After Width: | Height: | Size: 24 KiB |
BIN
petryaninyas/task2/experiment_results/weighted_30x30_time.png
Normal file
|
After Width: | Height: | Size: 19 KiB |
BIN
petryaninyas/task2/experiment_results/weighted_30x30_visited.png
Normal file
|
After Width: | Height: | Size: 28 KiB |
59
petryaninyas/task2/main.py
Normal file
|
|
@ -0,0 +1,59 @@
|
|||
from builders.text_file_maze_builder import TextFileMazeBuilder
|
||||
from core.player import Player
|
||||
from observer.console_view import ConsoleView
|
||||
from solver.maze_solver import MazeSolver
|
||||
from strategies.astar_strategy import AStarStrategy
|
||||
from strategies.bfs_strategy import BFSStrategy
|
||||
from strategies.dfs_strategy import DFSStrategy
|
||||
from controller.game_controller import GameController
|
||||
|
||||
|
||||
from pathlib import Path
|
||||
|
||||
BASE_DIR = Path(__file__).resolve().parent
|
||||
|
||||
|
||||
def run_demo():
|
||||
builder = TextFileMazeBuilder()
|
||||
maze = builder.buildFromFile(str(BASE_DIR / "mazes" / "maze_small.txt"))
|
||||
|
||||
view = ConsoleView()
|
||||
view.update({"type": "maze_loaded", "message": "Maze loaded"})
|
||||
view.render(maze)
|
||||
|
||||
solver = MazeSolver(maze)
|
||||
solver.addObserver(view)
|
||||
|
||||
for strategy in (BFSStrategy(), DFSStrategy(), AStarStrategy()):
|
||||
solver.setStrategy(strategy)
|
||||
stats = solver.solve()
|
||||
|
||||
print()
|
||||
print(f"=== {strategy.name} ===")
|
||||
print(f"Time: {stats.timeMs:.3f} ms")
|
||||
print(f"Visited cells: {stats.visitedCells}")
|
||||
print(f"Path length: {stats.pathLength}")
|
||||
print(f"Path found: {'yes' if stats.found else 'no'}")
|
||||
|
||||
view.render(maze, path=stats.path)
|
||||
|
||||
player = Player(maze.startCell)
|
||||
controller = GameController(maze, player, view)
|
||||
|
||||
print("Manual mode: W/A/S/D move, Z undo, Q quit")
|
||||
view.render(maze, player_position=player.currentCell)
|
||||
|
||||
while True:
|
||||
cmd = input("Command: ").strip().upper()
|
||||
if cmd == "Q":
|
||||
break
|
||||
if cmd == "Z":
|
||||
controller.undo()
|
||||
elif cmd in {"W", "A", "S", "D"}:
|
||||
controller.move(cmd)
|
||||
else:
|
||||
print("Unknown command")
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
run_demo()
|
||||
9
petryaninyas/task2/mazes/maze_empty.txt
Normal file
|
|
@ -0,0 +1,9 @@
|
|||
S
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
E
|
||||
11
petryaninyas/task2/mazes/maze_large.txt
Normal file
|
|
@ -0,0 +1,11 @@
|
|||
####################################################################################################
|
||||
#S # # # # # # # # # # # # # # # E#
|
||||
# # ### ### # ###### # ### # ## # #### # ####### # #### # # ### ## # ## # # ## # ## # ##### ### ##
|
||||
# # # # # # # # # # # # # # # # # # # # # # # # # # #
|
||||
# ##### # ######## # ### # ## # #### # ####### ## ### # # #### ####### ## ####### ####### # ### ##
|
||||
# # # # # # # # # # # # # # # # # # # # #
|
||||
### # # ###### # ########### ########### ### ####### # ####### ### # # ###### # ### ### # ### ####
|
||||
# # # # # # # # # # # # # # # # # # # # # #
|
||||
# ### ###### # ##### # ### # ####### # ### ### ## # ###### # ### # ### ###### # ### # ### ### ## #
|
||||
# # # # # # # # #
|
||||
####################################################################################################
|
||||
11
petryaninyas/task2/mazes/maze_medium.txt
Normal file
|
|
@ -0,0 +1,11 @@
|
|||
##################################################
|
||||
#S # # # # # # E#
|
||||
# # ### ### # ###### # ### # ## # #### # ####### ##
|
||||
# # # # # # # # # # # # # #
|
||||
# ##### # ######## # ### # ## # #### # ####### ## #
|
||||
# # # # # # # # # #
|
||||
### # # ###### # ########### ########### ### ######
|
||||
# # # # # # # # # # #
|
||||
# ### ###### # ##### # ### # ####### # ### ### ## #
|
||||
# # # # #
|
||||
##################################################
|
||||
9
petryaninyas/task2/mazes/maze_no_path.txt
Normal file
|
|
@ -0,0 +1,9 @@
|
|||
##########
|
||||
#S #
|
||||
# ###### #
|
||||
# # #
|
||||
##########
|
||||
# #E#
|
||||
# ###### #
|
||||
# #
|
||||
##########
|
||||
7
petryaninyas/task2/mazes/maze_small.txt
Normal file
|
|
@ -0,0 +1,7 @@
|
|||
##########
|
||||
#S #E#
|
||||
# ## # # ##
|
||||
# # #
|
||||
# #### # #
|
||||
# # #
|
||||
##########
|
||||
10
petryaninyas/task2/mazes/maze_weighted.txt
Normal file
|
|
@ -0,0 +1,10 @@
|
|||
1111111111111111111111111111
|
||||
1S11111111111111111111111111
|
||||
1111111111111111111111111111
|
||||
1111111111111111111111111111
|
||||
1111111111111222222222222111
|
||||
1111111111111222222222222111
|
||||
1111111111111333333333333111
|
||||
1111111111111333333333333111
|
||||
111111111111111111111111111E
|
||||
1111111111111111111111111111
|
||||
0
petryaninyas/task2/observer/__init__.py
Normal file
26
petryaninyas/task2/observer/console_view.py
Normal file
|
|
@ -0,0 +1,26 @@
|
|||
import os
|
||||
from observer.observer import Observer
|
||||
|
||||
|
||||
class ConsoleView(Observer):
|
||||
def update(self, event):
|
||||
if isinstance(event, str):
|
||||
print(f"[EVENT] {event}")
|
||||
elif isinstance(event, dict):
|
||||
event_type = event.get("type", "unknown")
|
||||
if event_type == "search_finished":
|
||||
stats = event.get("stats")
|
||||
print(f"[EVENT] search finished: {stats}")
|
||||
else:
|
||||
print(f"[EVENT] {event_type}: {event}")
|
||||
else:
|
||||
print("[EVENT] unknown")
|
||||
|
||||
def clear(self):
|
||||
os.system("cls" if os.name == "nt" else "clear")
|
||||
|
||||
def render(self, maze, player_position=None, path=None, clear_screen=False):
|
||||
if clear_screen:
|
||||
self.clear()
|
||||
print(maze.render(player_position=player_position, path=path))
|
||||
print()
|
||||
7
petryaninyas/task2/observer/observer.py
Normal file
|
|
@ -0,0 +1,7 @@
|
|||
from abc import ABC, abstractmethod
|
||||
|
||||
|
||||
class Observer(ABC):
|
||||
@abstractmethod
|
||||
def update(self, event):
|
||||
raise NotImplementedError
|
||||
1
petryaninyas/task2/requirements.txt
Normal file
|
|
@ -0,0 +1 @@
|
|||
matplotlib
|
||||
0
petryaninyas/task2/solver/__init__.py
Normal file
50
petryaninyas/task2/solver/maze_solver.py
Normal file
|
|
@ -0,0 +1,50 @@
|
|||
import time
|
||||
from core.search_stats import SearchStats
|
||||
|
||||
|
||||
class MazeSolver:
|
||||
def __init__(self, maze, strategy=None):
|
||||
self.maze = maze
|
||||
self.strategy = strategy
|
||||
self.observers = []
|
||||
|
||||
def setStrategy(self, strategy):
|
||||
self.strategy = strategy
|
||||
|
||||
def addObserver(self, observer):
|
||||
if observer not in self.observers:
|
||||
self.observers.append(observer)
|
||||
|
||||
def removeObserver(self, observer):
|
||||
if observer in self.observers:
|
||||
self.observers.remove(observer)
|
||||
|
||||
def notify(self, event):
|
||||
for observer in self.observers:
|
||||
observer.update(event)
|
||||
|
||||
def solve(self):
|
||||
if self.strategy is None:
|
||||
raise ValueError("Strategy is not set")
|
||||
self.notify({"type": "search_started", "strategy": self.strategy.name})
|
||||
|
||||
start_time = time.perf_counter()
|
||||
path = self.strategy.findPath(self.maze, self.maze.startCell, self.maze.exitCell)
|
||||
end_time = time.perf_counter()
|
||||
|
||||
stats = SearchStats(
|
||||
timeMs=(end_time - start_time) * 1000.0,
|
||||
visitedCells=getattr(self.strategy, "visitedCount", 0),
|
||||
pathLength=len(path),
|
||||
path=path,
|
||||
found=bool(path),
|
||||
algorithm=getattr(self.strategy, "name", "")
|
||||
)
|
||||
|
||||
if stats.found:
|
||||
self.notify({"type": "path_found", "strategy": stats.algorithm, "length": stats.pathLength})
|
||||
else:
|
||||
self.notify({"type": "path_not_found", "strategy": stats.algorithm})
|
||||
|
||||
self.notify({"type": "search_finished", "stats": stats})
|
||||
return stats
|
||||
0
petryaninyas/task2/strategies/__init__.py
Normal file
45
petryaninyas/task2/strategies/astar_strategy.py
Normal file
|
|
@ -0,0 +1,45 @@
|
|||
import heapq
|
||||
from strategies.pathfinding_strategy import PathFindingStrategy
|
||||
|
||||
|
||||
class AStarStrategy(PathFindingStrategy):
|
||||
name = "A*"
|
||||
|
||||
def heuristic(self, cell, exitCell):
|
||||
return abs(cell.x - exitCell.x) + abs(cell.y - exitCell.y)
|
||||
|
||||
def findPath(self, maze, start, exitCell):
|
||||
self.visitedCount = 0
|
||||
if start is None or exitCell is None:
|
||||
return []
|
||||
|
||||
open_set = []
|
||||
heapq.heappush(open_set, (0, 0, start.x, start.y, start))
|
||||
parent = {}
|
||||
g_score = {(start.x, start.y): 0}
|
||||
closed = set()
|
||||
|
||||
while open_set:
|
||||
f_score, current_g, _, _, current = heapq.heappop(open_set)
|
||||
pos = (current.x, current.y)
|
||||
|
||||
if pos in closed:
|
||||
continue
|
||||
|
||||
closed.add(pos)
|
||||
self.visitedCount += 1
|
||||
|
||||
if current.x == exitCell.x and current.y == exitCell.y:
|
||||
return self._restore_path(parent, start, exitCell)
|
||||
|
||||
for neighbor in maze.getNeighbors(current):
|
||||
npos = (neighbor.x, neighbor.y)
|
||||
tentative_g = current_g + getattr(neighbor, "weight", 1)
|
||||
|
||||
if tentative_g < g_score.get(npos, float("inf")):
|
||||
g_score[npos] = tentative_g
|
||||
parent[npos] = current
|
||||
new_f = tentative_g + self.heuristic(neighbor, exitCell)
|
||||
heapq.heappush(open_set, (new_f, tentative_g, neighbor.x, neighbor.y, neighbor))
|
||||
|
||||
return []
|
||||
31
petryaninyas/task2/strategies/bfs_strategy.py
Normal file
|
|
@ -0,0 +1,31 @@
|
|||
from collections import deque
|
||||
from strategies.pathfinding_strategy import PathFindingStrategy
|
||||
|
||||
|
||||
class BFSStrategy(PathFindingStrategy):
|
||||
name = "BFS"
|
||||
|
||||
def findPath(self, maze, start, exitCell):
|
||||
self.visitedCount = 0
|
||||
if start is None or exitCell is None:
|
||||
return []
|
||||
|
||||
queue = deque([start])
|
||||
visited = {(start.x, start.y)}
|
||||
parent = {}
|
||||
|
||||
while queue:
|
||||
current = queue.popleft()
|
||||
self.visitedCount += 1
|
||||
|
||||
if current.x == exitCell.x and current.y == exitCell.y:
|
||||
return self._restore_path(parent, start, exitCell)
|
||||
|
||||
for neighbor in maze.getNeighbors(current):
|
||||
pos = (neighbor.x, neighbor.y)
|
||||
if pos not in visited:
|
||||
visited.add(pos)
|
||||
parent[pos] = current
|
||||
queue.append(neighbor)
|
||||
|
||||
return []
|
||||
35
petryaninyas/task2/strategies/dfs_strategy.py
Normal file
|
|
@ -0,0 +1,35 @@
|
|||
from strategies.pathfinding_strategy import PathFindingStrategy
|
||||
|
||||
|
||||
class DFSStrategy(PathFindingStrategy):
|
||||
name = "DFS"
|
||||
|
||||
def findPath(self, maze, start, exitCell):
|
||||
self.visitedCount = 0
|
||||
if start is None or exitCell is None:
|
||||
return []
|
||||
|
||||
stack = [start]
|
||||
visited = set()
|
||||
parent = {}
|
||||
|
||||
while stack:
|
||||
current = stack.pop()
|
||||
pos = (current.x, current.y)
|
||||
if pos in visited:
|
||||
continue
|
||||
|
||||
visited.add(pos)
|
||||
self.visitedCount += 1
|
||||
|
||||
if current.x == exitCell.x and current.y == exitCell.y:
|
||||
return self._restore_path(parent, start, exitCell)
|
||||
|
||||
neighbors = maze.getNeighbors(current)
|
||||
for neighbor in reversed(neighbors):
|
||||
npos = (neighbor.x, neighbor.y)
|
||||
if npos not in visited:
|
||||
parent[npos] = current
|
||||
stack.append(neighbor)
|
||||
|
||||
return []
|
||||
41
petryaninyas/task2/strategies/dijkstra_strategy.py
Normal file
|
|
@ -0,0 +1,41 @@
|
|||
import heapq
|
||||
from strategies.pathfinding_strategy import PathFindingStrategy
|
||||
|
||||
|
||||
class DijkstraStrategy(PathFindingStrategy):
|
||||
name = "Dijkstra"
|
||||
|
||||
def findPath(self, maze, start, exitCell):
|
||||
self.visitedCount = 0
|
||||
if start is None or exitCell is None:
|
||||
return []
|
||||
|
||||
pq = [(0, start.x, start.y, start)]
|
||||
dist = {(start.x, start.y): 0}
|
||||
parent = {}
|
||||
closed = set()
|
||||
|
||||
while pq:
|
||||
current_cost, _, _, current = heapq.heappop(pq)
|
||||
pos = (current.x, current.y)
|
||||
|
||||
if pos in closed:
|
||||
continue
|
||||
|
||||
closed.add(pos)
|
||||
self.visitedCount += 1
|
||||
|
||||
if current.x == exitCell.x and current.y == exitCell.y:
|
||||
return self._restore_path(parent, start, exitCell)
|
||||
|
||||
for neighbor in maze.getNeighbors(current):
|
||||
npos = (neighbor.x, neighbor.y)
|
||||
step_cost = getattr(neighbor, "weight", 1)
|
||||
new_cost = current_cost + step_cost
|
||||
|
||||
if new_cost < dist.get(npos, float("inf")):
|
||||
dist[npos] = new_cost
|
||||
parent[npos] = current
|
||||
heapq.heappush(pq, (new_cost, neighbor.x, neighbor.y, neighbor))
|
||||
|
||||
return []
|
||||
30
petryaninyas/task2/strategies/pathfinding_strategy.py
Normal file
|
|
@ -0,0 +1,30 @@
|
|||
from abc import ABC, abstractmethod
|
||||
|
||||
|
||||
class PathFindingStrategy(ABC):
|
||||
name = "Base"
|
||||
|
||||
def __init__(self):
|
||||
self.visitedCount = 0
|
||||
|
||||
@abstractmethod
|
||||
def findPath(self, maze, start, exitCell):
|
||||
raise NotImplementedError
|
||||
|
||||
def _restore_path(self, parent, start, exitCell):
|
||||
if exitCell is None or start is None:
|
||||
return []
|
||||
|
||||
path = []
|
||||
current = exitCell
|
||||
|
||||
while True:
|
||||
path.append(current)
|
||||
if current.x == start.x and current.y == start.y:
|
||||
break
|
||||
current = parent.get((current.x, current.y))
|
||||
if current is None:
|
||||
return []
|
||||
|
||||
path.reverse()
|
||||
return path
|
||||