



'''simple docstring'''



import colorsys
import io

import cva
import matplotlib as mpl
import matplotlib.colors as mplc
import matplotlib.figure as mplfigure
import numpy as np
import torch
from matplotlib.backends.backend_agg import FigureCanvasAgg

from utils import img_tensorize


lowerCAmelCase						:		Optional[int]						      = 1_0_0_0






class        UpperCAmelCase__						:



					def __init__(     self      ,					UpperCamelCase      ,					UpperCamelCase=1.2      ,					UpperCamelCase="g"      ,					UpperCamelCase=0.5      ,					UpperCamelCase="-"      ,					UpperCamelCase="test_out.jpg"      ,					UpperCamelCase=True      ,					UpperCamelCase=False      ,					UpperCamelCase=None      ,					UpperCamelCase=None      ,					UpperCamelCase=0.7      ,					)  ->      Any:
						if isinstance(a_      ,					torch.Tensor  ):
							__lowerCAmelCase       				=	img.numpy().astype("np.uint8"  )
						if isinstance(a_      ,					a_  ):
							__lowerCAmelCase       				=	img_tensorize(a_  )
						assert isinstance(a_      ,					np.ndarray  )

						__lowerCAmelCase				,							__lowerCAmelCase       				=	img.shape[1], img.shape[0]
						__lowerCAmelCase       				=	mplfigure.Figure(frameon=a_  )
						__lowerCAmelCase       				=	fig.get_dpi()
						__lowerCAmelCase       				=	(width * scale + 1E-2) / dpi
						__lowerCAmelCase       				=	(height * scale + 1E-2) / dpi
						fig.set_size_inches(a_      ,					a_  )
						__lowerCAmelCase       				=	fig.add_axes([0.0, 0.0, 1.0, 1.0]  )
						ax.axis("off"  )
						ax.set_xlim(0.0      ,					a_  )
						ax.set_ylim(a_  )

						__lowerCAmelCase       				=	saveas
						__lowerCAmelCase       				=	rgb
						__lowerCAmelCase       				=	pynb
						__lowerCAmelCase       				=	img
						__lowerCAmelCase       				=	edgecolor
						__lowerCAmelCase       				=	0.5
						__lowerCAmelCase       				=	linestyle
						__lowerCAmelCase       				=	int(np.sqrt(min(a_      ,					a_  )  ) * scale // 3  )
						__lowerCAmelCase       				=	width
						__lowerCAmelCase       				=	height
						__lowerCAmelCase       				=	scale
						__lowerCAmelCase       				=	fig
						__lowerCAmelCase       				=	ax
						__lowerCAmelCase       				=	pad
						__lowerCAmelCase       				=	idaobj
						__lowerCAmelCase       				=	idaattr
						__lowerCAmelCase       				=	FigureCanvasAgg(a_  )



					def 							UpperCAmelCase_			(     self      ,					UpperCamelCase      ,					UpperCamelCase=None  )  ->      str:
						if color is None:
							__lowerCAmelCase       				=	self.edgecolor
						((__lowerCAmelCase)				,							(__lowerCAmelCase)				,							(__lowerCAmelCase)				,							(__lowerCAmelCase))       				=	box
						__lowerCAmelCase       				=	xa - xa
						__lowerCAmelCase       				=	ya - ya
						self.ax.add_patch(
						    mpl.patches.Rectangle(
						        (xa, ya)      ,					a_      ,					a_      ,					fill=a_      ,					edgecolor=a_      ,					linewidth=self.font_size // 3      ,					alpha=self.alpha      ,					linestyle=self.linestyle      ,					)  )



					def 							UpperCAmelCase_			(     self      ,					UpperCamelCase      ,					UpperCamelCase=None      ,					UpperCamelCase=None      ,					UpperCamelCase=None      ,					UpperCamelCase=None  )  ->      List[Any]:
						if len(boxes.shape  ) > 2:
							__lowerCAmelCase       				=	boxes[0]
						if len(obj_ids.shape  ) > 1:
							__lowerCAmelCase       				=	obj_ids[0]
						if len(obj_scores.shape  ) > 1:
							__lowerCAmelCase       				=	obj_scores[0]
						if len(attr_ids.shape  ) > 1:
							__lowerCAmelCase       				=	attr_ids[0]
						if len(attr_scores.shape  ) > 1:
							__lowerCAmelCase       				=	attr_scores[0]
						if isinstance(a_      ,					torch.Tensor  ):
							__lowerCAmelCase       				=	boxes.numpy()
						if isinstance(a_      ,					a_  ):
							__lowerCAmelCase       				=	np.array(a_  )
						assert isinstance(a_      ,					np.ndarray  )
						__lowerCAmelCase       				=	np.prod(boxes[:, 2:] - boxes[:, :2]      ,					axis=1  )
						__lowerCAmelCase       				=	np.argsort(-areas  ).tolist()
						__lowerCAmelCase       				=	boxes[sorted_idxs] if boxes is not None else None
						__lowerCAmelCase       				=	obj_ids[sorted_idxs] if obj_ids is not None else None
						__lowerCAmelCase       				=	obj_scores[sorted_idxs] if obj_scores is not None else None
						__lowerCAmelCase       				=	attr_ids[sorted_idxs] if attr_ids is not None else None
						__lowerCAmelCase       				=	attr_scores[sorted_idxs] if attr_scores is not None else None

						__lowerCAmelCase       				=	[self._random_color(maximum=1  ) for _ in range(len(a_  )  )]
						__lowerCAmelCase       				=	[assigned_colors[idx] for idx in sorted_idxs]
						if obj_ids is not None:
							__lowerCAmelCase       				=	self._create_text_labels_attr(a_      ,					a_      ,					a_      ,					a_  )
							for i in range(len(a_  )  ):
								__lowerCAmelCase       				=	assigned_colors[i]
								self.add_box(boxes[i]      ,					a_  )
								self.draw_labels(labels[i]      ,					boxes[i]      ,					a_  )



					def 							UpperCAmelCase_			(     self      ,					UpperCamelCase      ,					UpperCamelCase      ,					UpperCamelCase  )  ->      Optional[int]:
						__lowerCAmelCase				,							__lowerCAmelCase				,							__lowerCAmelCase				,							__lowerCAmelCase       				=	box
						__lowerCAmelCase       				=	(xa, ya)
						__lowerCAmelCase       				=	(ya - ya) * (xa - xa)
						__lowerCAmelCase       				=	_SMALL_OBJ * self.scale
						if instance_area < small or ya - ya < 40 * self.scale:
							if ya >= self.height - 5:
								__lowerCAmelCase       				=	(xa, ya)
							else:
								__lowerCAmelCase       				=	(xa, ya)

						__lowerCAmelCase       				=	(ya - ya) / np.sqrt(self.height * self.width  )
						__lowerCAmelCase       				=	self._change_color_brightness(a_      ,					brightness_factor=0.7  )
						__lowerCAmelCase       				=	np.clip((height_ratio - 0.02) / 0.08 + 1      ,					1.2      ,					2  )
						font_size *= 0.75 * self.font_size

						self.draw_text(
						    text=a_      ,					position=a_      ,					color=a_      ,					)



					def 							UpperCAmelCase_			(     self      ,					UpperCamelCase      ,					UpperCamelCase      ,					UpperCamelCase="g"      ,					UpperCamelCase="left"      ,					)  ->      Optional[int]:
						__lowerCAmelCase       				=	0
						__lowerCAmelCase       				=	self.font_size
						__lowerCAmelCase       				=	np.maximum(list(mplc.to_rgb(a_  )  )      ,					0.2  )
						__lowerCAmelCase       				=	max(0.8      ,					np.max(a_  )  )
						__lowerCAmelCase       				=	{
						    "facecolor": "black",
						    "alpha": self.alpha,
						    "pad": self.pad,
						    "edgecolor": "none",
						}
						__lowerCAmelCase				,							__lowerCAmelCase       				=	position
						self.ax.text(
						    a_      ,					a_      ,					a_      ,					size=font_size * self.scale      ,					family="sans-serif"      ,					bbox=a_      ,					verticalalignment="top"      ,					horizontalalignment=a_      ,					color=a_      ,					zorder=10      ,					rotation=a_      ,					)



					def 							UpperCAmelCase_			(     self      ,					UpperCamelCase=None  )  ->      Optional[int]:
						if saveas is None:
							__lowerCAmelCase       				=	self.saveas
						if saveas.lower().endswith(".jpg"  ) or saveas.lower().endswith(".png"  ):
							cva.imwrite(
							    a_      ,					self._get_buffer()[:, :, ::-1]      ,					)
						else:
							self.fig.savefig(a_  )



					def 							UpperCAmelCase_			(     self      ,					UpperCamelCase      ,					UpperCamelCase      ,					UpperCamelCase      ,					UpperCamelCase  )  ->      List[Any]:
						__lowerCAmelCase       				=	[self.idaobj[i] for i in classes]
						__lowerCAmelCase       				=	[self.idaattr[i] for i in attr_classes]
						__lowerCAmelCase       				=	[
						    F'''{label} {score:.2f} {attr} {attr_score:.2f}'''
						    for label, score, attr, attr_score in zip(a_      ,					a_      ,					a_      ,					a_  )
						]
						return labels



					def 							UpperCAmelCase_			(     self      ,					UpperCamelCase      ,					UpperCamelCase  )  ->      Any:
						__lowerCAmelCase       				=	[self.idaobj[i] for i in classes]
						if scores is not None:
							if labels is None:
								__lowerCAmelCase       				=	["{:.0f}%".format(s * 100  ) for s in scores]
							else:
								__lowerCAmelCase       				=	["{} {:.0f}%".format(a_      ,					s * 100  ) for li, s in zip(a_      ,					a_  )]
						return labels



					def 							UpperCAmelCase_			(     self      ,					UpperCamelCase=255  )  ->      str:
						__lowerCAmelCase       				=	np.random.randint(0      ,					len(_COLORS  )  )
						__lowerCAmelCase       				=	_COLORS[idx] * maximum
						if not self.rgb:
							__lowerCAmelCase       				=	ret[::-1]
						return ret



					def 							UpperCAmelCase_			(     self  )  ->      List[Any]:
						if not self.pynb:
							__lowerCAmelCase				,							__lowerCAmelCase       				=	self.canvas.print_to_buffer()
							if (width, height) != (self.width, self.height):
								__lowerCAmelCase       				=	cva.resize(self.img      ,					(width, height)  )
							else:
								__lowerCAmelCase       				=	self.img
						else:
							__lowerCAmelCase       				=	io.BytesIO()  # works for cairo backend
							self.canvas.print_rgba(a_  )
							__lowerCAmelCase				,							__lowerCAmelCase       				=	self.width, self.height
							__lowerCAmelCase       				=	buf.getvalue()
							__lowerCAmelCase       				=	self.img

						__lowerCAmelCase       				=	np.frombuffer(a_      ,					dtype="uint8"  )
						__lowerCAmelCase       				=	buffer.reshape(a_      ,					a_      ,					4  )
						__lowerCAmelCase				,							__lowerCAmelCase       				=	np.split(a_      ,					[3]      ,					axis=2  )

						try:
							import numexpr as ne  # fuse them with numexpr

							__lowerCAmelCase       				=	ne.evaluate("img * (1 - alpha / 255.0) + rgb * (alpha / 255.0)"  )
						except ImportError:
							__lowerCAmelCase       				=	alpha.astype("float32"  ) / 2_55.0
							__lowerCAmelCase       				=	img * (1 - alpha) + rgb * alpha

						return visualized_image.astype("uint8"  )



					def 							UpperCAmelCase_			(     self      ,					UpperCamelCase      ,					UpperCamelCase  )  ->      Any:
						assert brightness_factor >= -1.0 and brightness_factor <= 1.0
						__lowerCAmelCase       				=	mplc.to_rgb(a_  )
						__lowerCAmelCase       				=	colorsys.rgb_to_hls(*mplc.to_rgb(a_  )  )
						__lowerCAmelCase       				=	polygon_color[1] + (brightness_factor * polygon_color[1])
						__lowerCAmelCase       				=	0.0 if modified_lightness < 0.0 else modified_lightness
						__lowerCAmelCase       				=	1.0 if modified_lightness > 1.0 else modified_lightness
						__lowerCAmelCase       				=	colorsys.hls_to_rgb(polygon_color[0]      ,					a_      ,					polygon_color[2]  )
						return modified_color


lowerCAmelCase						:		str						      = (
    np.array(
        [
            0.000,
            0.447,
            0.741,
            0.850,
            0.325,
            0.098,
            0.929,
            0.694,
            0.125,
            0.494,
            0.184,
            0.556,
            0.466,
            0.674,
            0.188,
            0.301,
            0.745,
            0.933,
            0.635,
            0.078,
            0.184,
            0.300,
            0.300,
            0.300,
            0.600,
            0.600,
            0.600,
            1.000,
            0.000,
            0.000,
            1.000,
            0.500,
            0.000,
            0.749,
            0.749,
            0.000,
            0.000,
            1.000,
            0.000,
            0.000,
            0.000,
            1.000,
            0.667,
            0.000,
            1.000,
            0.333,
            0.333,
            0.000,
            0.333,
            0.667,
            0.000,
            0.333,
            1.000,
            0.000,
            0.667,
            0.333,
            0.000,
            0.667,
            0.667,
            0.000,
            0.667,
            1.000,
            0.000,
            1.000,
            0.333,
            0.000,
            1.000,
            0.667,
            0.000,
            1.000,
            1.000,
            0.000,
            0.000,
            0.333,
            0.500,
            0.000,
            0.667,
            0.500,
            0.000,
            1.000,
            0.500,
            0.333,
            0.000,
            0.500,
            0.333,
            0.333,
            0.500,
            0.333,
            0.667,
            0.500,
            0.333,
            1.000,
            0.500,
            0.667,
            0.000,
            0.500,
            0.667,
            0.333,
            0.500,
            0.667,
            0.667,
            0.500,
            0.667,
            1.000,
            0.500,
            1.000,
            0.000,
            0.500,
            1.000,
            0.333,
            0.500,
            1.000,
            0.667,
            0.500,
            1.000,
            1.000,
            0.500,
            0.000,
            0.333,
            1.000,
            0.000,
            0.667,
            1.000,
            0.000,
            1.000,
            1.000,
            0.333,
            0.000,
            1.000,
            0.333,
            0.333,
            1.000,
            0.333,
            0.667,
            1.000,
            0.333,
            1.000,
            1.000,
            0.667,
            0.000,
            1.000,
            0.667,
            0.333,
            1.000,
            0.667,
            0.667,
            1.000,
            0.667,
            1.000,
            1.000,
            1.000,
            0.000,
            1.000,
            1.000,
            0.333,
            1.000,
            1.000,
            0.667,
            1.000,
            0.333,
            0.000,
            0.000,
            0.500,
            0.000,
            0.000,
            0.667,
            0.000,
            0.000,
            0.833,
            0.000,
            0.000,
            1.000,
            0.000,
            0.000,
            0.000,
            0.167,
            0.000,
            0.000,
            0.333,
            0.000,
            0.000,
            0.500,
            0.000,
            0.000,
            0.667,
            0.000,
            0.000,
            0.833,
            0.000,
            0.000,
            1.000,
            0.000,
            0.000,
            0.000,
            0.167,
            0.000,
            0.000,
            0.333,
            0.000,
            0.000,
            0.500,
            0.000,
            0.000,
            0.667,
            0.000,
            0.000,
            0.833,
            0.000,
            0.000,
            1.000,
            0.000,
            0.000,
            0.000,
            0.143,
            0.143,
            0.143,
            0.857,
            0.857,
            0.857,
            1.000,
            1.000,
            1.000,
        ]
    )
    .astype(np.floataa)
    .reshape(-1, 3)
)




from math import gcd

def       A_   (						__a  :					int = 12_000		):

				"""simple docstring"""
				a__					   =		0
				for d in range(max_d + 1		):
								for n in range(d // 3 + 1			,		(d + 1) // 2		):
												if gcd(__a			,		__a		) == 1:
																fractions_number += 1
				return fractions_number


if __name__ == "__main__":
	print(f"""{solution() = }""")

