






'''simple docstring'''
import math

def 							a	(   _UpperCAmelCase )				->				bool:






					"""simple docstring"""







					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(_UpperCAmelCase ) + 1 )					,  6 ):
										if number % i == 0 or number % (i + 2) == 0:
															return False
					return True

def 							a	(   _UpperCAmelCase = 1_0_0_0					,  _UpperCAmelCase = 1_0_0_0 )				->				int:






					"""simple docstring"""







					a_									=   [0, 0, 0]  # length, a, b
					for a in range((a_limit * -1) + 1					,  _UpperCAmelCase ):
										for b in range(2					,  _UpperCAmelCase ):
															if is_prime(_UpperCAmelCase ):
																				a_									=   0
																				a_									=   0
																				while is_prime((n**2) + (a * n) + b ):
																									count += 1
																									n += 1
																				if count > longest[0]:
																									a_									=   [count, a, b]
					a_									=   longest[1] * longest[2]
					return ans


if __name__ == "__main__":
						print(solution(1000, 1000))









'''simple docstring'''
def 							a	(   _UpperCAmelCase					,  _UpperCAmelCase					,  _UpperCAmelCase )				->				list[int]:






					"""simple docstring"""







					if hue < 0 or hue > 3_6_0:
										raise Exception('hue should be between 0 and 360' )

					if saturation < 0 or saturation > 1:
										raise Exception('saturation should be between 0 and 1' )

					if value < 0 or value > 1:
										raise Exception('value should be between 0 and 1' )

					a_									=   value * saturation
					a_									=   hue / 6_0
					a_									=   chroma * (1 - abs(hue_section % 2 - 1 ))
					a_									=   value - chroma

					if hue_section >= 0 and hue_section <= 1:
										a_									=   round(2_5_5 * (chroma + match_value) )
										a_									=   round(2_5_5 * (second_largest_component + match_value) )
										a_									=   round(2_5_5 * (match_value) )
					elif hue_section > 1 and hue_section <= 2:
										a_									=   round(2_5_5 * (second_largest_component + match_value) )
										a_									=   round(2_5_5 * (chroma + match_value) )
										a_									=   round(2_5_5 * (match_value) )
					elif hue_section > 2 and hue_section <= 3:
										a_									=   round(2_5_5 * (match_value) )
										a_									=   round(2_5_5 * (chroma + match_value) )
										a_									=   round(2_5_5 * (second_largest_component + match_value) )
					elif hue_section > 3 and hue_section <= 4:
										a_									=   round(2_5_5 * (match_value) )
										a_									=   round(2_5_5 * (second_largest_component + match_value) )
										a_									=   round(2_5_5 * (chroma + match_value) )
					elif hue_section > 4 and hue_section <= 5:
										a_									=   round(2_5_5 * (second_largest_component + match_value) )
										a_									=   round(2_5_5 * (match_value) )
										a_									=   round(2_5_5 * (chroma + match_value) )
					else:
										a_									=   round(2_5_5 * (chroma + match_value) )
										a_									=   round(2_5_5 * (match_value) )
										a_									=   round(2_5_5 * (second_largest_component + match_value) )

					return [red, green, blue]

def 							a	(   _UpperCAmelCase					,  _UpperCAmelCase					,  _UpperCAmelCase )				->				list[float]:






					"""simple docstring"""







					if red < 0 or red > 2_5_5:
										raise Exception('red should be between 0 and 255' )

					if green < 0 or green > 2_5_5:
										raise Exception('green should be between 0 and 255' )

					if blue < 0 or blue > 2_5_5:
										raise Exception('blue should be between 0 and 255' )

					a_									=   red / 2_5_5
					a_									=   green / 2_5_5
					a_									=   blue / 2_5_5
					a_									=   max(_UpperCAmelCase					,  _UpperCAmelCase					,  _UpperCAmelCase )
					a_									=   value - min(_UpperCAmelCase					,  _UpperCAmelCase					,  _UpperCAmelCase )
					a_									=   0 if value == 0 else chroma / value

					if chroma == 0:
										a_									=   0.0
					elif value == float_red:
										a_									=   6_0 * (0 + (float_green - float_blue) / chroma)
					elif value == float_green:
										a_									=   6_0 * (2 + (float_blue - float_red) / chroma)
					else:
										a_									=   6_0 * (4 + (float_red - float_green) / chroma)

					a_									=   (hue + 3_6_0) % 3_6_0

					return [hue, saturation, value]





def 							a	(   _UpperCAmelCase					,  _UpperCAmelCase )				->				bool:






					"""simple docstring"""







					a_									=   abs(hsv_a[0] - hsv_a[0] ) < 0.2
					a_									=   abs(hsv_a[1] - hsv_a[1] ) < 0.0_0_2
					a_									=   abs(hsv_a[2] - hsv_a[2] ) < 0.0_0_2

					return check_hue and check_saturation and check_value

