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ICC 23-24: Simulation du problème des 100 prisonniers avec des dataclass
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from typing import List | |
from random import shuffle | |
from dataclasses import dataclass | |
@dataclass | |
class Box: | |
number: int | |
key_inside: int | |
@dataclass | |
class Prisoner: | |
number: int | |
found_key: bool = False | |
def look_for_key(self, boxes: List[Box]) -> None: | |
""" | |
This method simulates a prisoner looking for his key. | |
:param boxes: List of boxes that are in the room | |
""" | |
attempts_left: int = 50 | |
next_box: int = self.number | |
while attempts_left > 0: | |
key_inside = self.open_box(boxes=boxes, box_number=next_box) | |
if key_inside == self.number: | |
self.found_key = True | |
attempts_left -= 1 | |
next_box = key_inside | |
def open_box(self, boxes: List[Box], box_number: int) -> int: | |
""" | |
This method simulates a prisoner opening the box with number `box_number`. | |
:param boxes: List of boxes that are in the room | |
:param box_number: The number of the next box to open | |
:return: The key found inside the box with number `box_number` | |
""" | |
for box in boxes: | |
if box.number == box_number: | |
return box.key_inside | |
@dataclass | |
class Simulation: | |
prisoners: List[Prisoner] | |
boxes: List[Box] | |
def run(self) -> None: | |
""" | |
This method starts a simulation. | |
""" | |
for prisoner in self.prisoners: | |
prisoner.look_for_key(self.boxes) | |
def is_successful(self) -> bool: | |
""" | |
This method verifies if a simulation is successful or not. | |
:return: True if all prisoners found their keys, False otherwise | |
""" | |
for prisoner in self.prisoners: | |
if not prisoner.found_key: | |
return False | |
return True | |
def create_simulation() -> Simulation: | |
nb_prisoners: int = 100 | |
randomized_keys: List[int] = list(range(nb_prisoners)) | |
shuffle(randomized_keys) | |
prisoners: List[Prisoner] = [] | |
boxes: List[Box] = [] | |
for i in range(nb_prisoners): | |
prisoners.append(Prisoner(number=i, found_key=False)) | |
boxes.append(Box(number=i, key_inside=randomized_keys.pop(0))) | |
return Simulation(prisoners=prisoners, boxes=boxes) | |
success_count: int = 0 | |
nb_simulations: int = 1000 | |
for _ in range(nb_simulations): | |
simulation: Simulation = create_simulation() | |
simulation.run() | |
if simulation.is_successful(): | |
success_count += 1 | |
print(f"{success_count} simulations réussies sur {nb_simulations}.") |
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