
import math
import random
from typing import Any

from .hill_climbing import SearchProblem





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase     ,		__lowerCAmelCase = True     ,		__lowerCAmelCase = math.inf     ,		__lowerCAmelCase = -math.inf     ,		__lowerCAmelCase = math.inf     ,		__lowerCAmelCase = -math.inf     ,		__lowerCAmelCase = False     ,		__lowerCAmelCase = 100     ,		__lowerCAmelCase = 0.01     ,		__lowerCAmelCase = 1     ,		):
    snake_case__    =					False
    snake_case__    =					search_prob
    snake_case__    =					start_temperate
    snake_case__    =					[]
    snake_case__    =					0
    snake_case__    =					None

    while not search_end:
        snake_case__    =					current_state.score()
        if best_state is None or current_score > best_state.score():
            snake_case__    =					current_state
        scores.append(__lowerCAmelCase				)
        iterations += 1
        snake_case__    =					None
        snake_case__    =					current_state.get_neighbors()
        while (
            next_state is None and neighbors
        ):  # till we do not find a neighbor that we can move to
            snake_case__    =					random.randint(0     ,		len(__lowerCAmelCase				) - 1				)  # picking a random neighbor
            snake_case__    =					neighbors.pop(__lowerCAmelCase				)
            snake_case__    =					picked_neighbor.score() - current_score

            if (
                picked_neighbor.x > max_x
                or picked_neighbor.x < min_x
                or picked_neighbor.y > max_y
                or picked_neighbor.y < min_y
            ):
                continue  # neighbor outside our bounds

            if not find_max:
                snake_case__    =					change * -1  # in case we are finding minimum
            if change > 0:  # improves the solution
                snake_case__    =					picked_neighbor
            else:
                snake_case__    =					(math.e) ** (
                    change / current_temp
                )  # probability generation function
                if random.random() < probability:  # random number within probability
                    snake_case__    =					picked_neighbor
        snake_case__    =					current_temp - (current_temp * rate_of_decrease)

        if current_temp < threshold_temp or next_state is None:
            # temperature below threshold, or could not find a suitable neighbor
            snake_case__    =					True
        else:
            snake_case__    =					next_state

    if visualization:
        from matplotlib import pyplot as plt

        plt.plot(range(__lowerCAmelCase				)     ,		__lowerCAmelCase				)
        plt.xlabel("Iterations"				)
        plt.ylabel("Function values"				)
        plt.show()
    return best_state


if __name__ == "__main__":





     def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase     ,		__lowerCAmelCase				):
         return (x**2) + (y**2)

     # starting the problem with initial coordinates (12, 47)
     __magic_name__  							=	SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
     __magic_name__  							=	simulated_annealing(
         prob, find_max=False, max_x=100, min_x=5, max_y=50, min_y=-5, visualization=True
     )
     print(
         '''The minimum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '''
         F'''and 50 > y > - 5 found via hill climbing: {local_min.score()}'''
     )

     # starting the problem with initial coordinates (12, 47)
     __magic_name__  							=	SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
     __magic_name__  							=	simulated_annealing(
         prob, find_max=True, max_x=100, min_x=5, max_y=50, min_y=-5, visualization=True
     )
     print(
         '''The maximum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '''
         F'''and 50 > y > - 5 found via hill climbing: {local_min.score()}'''
     )





     def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase     ,		__lowerCAmelCase				):
         return (3 * x**2) - (6 * y)

     __magic_name__  							=	SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
     __magic_name__  							=	simulated_annealing(prob, find_max=False, visualization=True)
     print(
         '''The minimum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '''
         F'''{local_min.score()}'''
     )

     __magic_name__  							=	SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
     __magic_name__  							=	simulated_annealing(prob, find_max=True, visualization=True)





     print(
         '''The maximum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '''
         F'''{local_min.score()}'''
     )





from __future__ import annotations

import math





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase				):

    if 1 < number < 4:
        # 2 and 3 are primes
        return True
    elif number < 2 or number % 2 == 0 or number % 3 == 0:
        # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
        return False

    # All primes number are in format of 6k +/- 1
    for i in range(5     ,		int(math.sqrt(__lowerCAmelCase				) + 1				)     ,		6				):
        if number % i == 0 or number % (i + 2) == 0:
            return False
    return True





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase				):
    snake_case__    =					str(__lowerCAmelCase				)
    snake_case__    =					[n]
    for i in range(1     ,		len(__lowerCAmelCase				)				):
        list_nums.append(int(str_num[i:]				)				)
        list_nums.append(int(str_num[:-i]				)				)
    return list_nums





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase				):
    if len(str(__lowerCAmelCase				)				) > 3:
        if not is_prime(int(str(__lowerCAmelCase				)[-3:]				)				) or not is_prime(int(str(__lowerCAmelCase				)[:3]				)				):
            return False
    return True





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase = 11				):
    snake_case__    =					[]
    snake_case__    =					13
    while len(__lowerCAmelCase				) != count:
        if validate(__lowerCAmelCase				):
            snake_case__    =					list_truncated_nums(__lowerCAmelCase				)
            if all(is_prime(__lowerCAmelCase				) for i in list_nums				):
                list_truncated_primes.append(__lowerCAmelCase				)
        num += 2
    return list_truncated_primes





def 						SCREAMING_SNAKE_CASE__     (   ):
    return sum(compute_truncated_primes(11				)				)


if __name__ == "__main__":
     print(F'''{sum(compute_truncated_primes(11)) = }''')



