feebas.py

TOTAL_TILES = 18 * 34
AVERAGE_TIME_PER_ATTEMPT_IN_SECONDS = 40
ATTEMPTS_PER_TILE = 2


def single_tile(tiles_left: int):
    wrong_tile =  (tiles_left - 1) / tiles_left 
    correct_tile_bad_luck = 1 / (tiles_left - 1) * 1 / 4
    return wrong_tile + correct_tile_bad_luck

def found_after_n_tiles(n: int,log=False):
    not_found = 1
    for i in range(n):
        not_found *= single_tile(TOTAL_TILES - i)
        found = 1 - not_found
        if log: print(TOTAL_TILES - i, found)
    return found

def stop_after_percentage(percentage: float = 0.50, log=False):
    not_found = 1
    for i in range(TOTAL_TILES):
        not_found *= single_tile(TOTAL_TILES - i)
        found = 1 - not_found
        print(TOTAL_TILES - i, found)
        if log: print(TOTAL_TILES - i, found)
        if found >= percentage:
            return i, found

def elapsed_time(tiles: int):
    time_in_seconds = tiles * AVERAGE_TIME_PER_ATTEMPT_IN_SECONDS * ATTEMPTS_PER_TILE
    seconds = int(time_in_seconds % 60)
    minutes = time_in_seconds // 60
    hours = minutes // 60
    minutes = minutes % 60
    return hours, minutes, seconds

def pretty_print(tiles, percentage):
    time_in_seconds = tiles * AVERAGE_TIME_PER_ATTEMPT_IN_SECONDS * ATTEMPTS_PER_TILE
    hours, minutes, seconds = elapsed_time(tiles)
    print(f"It takes {tiles} tiles, or " f"{hours}h{minutes}m{seconds}s, for you to have a " \
        f"{percentage * 100 :.2f}% chance to find it.")

def main():
    average_tiles_necessary, percentage = stop_after_percentage(0.50)
    pretty_print(average_tiles_necessary, percentage)
    halfway_chance = found_after_n_tiles(TOTAL_TILES // 2)
    pretty_print(TOTAL_TILES // 2, halfway_chance)

if __name__ == "__main__":
    main()