





'''simple docstring'''





from math import radians as angle_to_radians
from math import sin

# Acceleration Constant on Earth (unit m/s^2)
lowercase__			=	9.8_0665


def 				UpperCamelCase	(  snake_case	,     snake_case   ):




   '''simple docstring'''

   if not isinstance(snake_case	,     (int, float)   ):
      raise TypeError('''Invalid velocity. Should be a positive number.'''   )

   if not isinstance(snake_case	,     (int, float)   ):
      raise TypeError('''Invalid angle. Range is 1-90 degrees.'''   )

   # Ensure valid angle
   if angle > 90 or angle < 1:
      raise ValueError('''Invalid angle. Range is 1-90 degrees.'''   )

   # Ensure valid velocity
   if init_velocity < 0:
      raise ValueError('''Invalid velocity. Should be a positive number.'''   )


def 				UpperCamelCase	(  snake_case	,     snake_case   ):




   '''simple docstring'''

   check_args(snake_case	,     snake_case   )
   SCREAMING_SNAKE_CASE__			:				Tuple       						= angle_to_radians(2 * angle   )
   return round(init_velocity**2 * sin(snake_case   ) / g	,     2   )


def 				UpperCamelCase	(  snake_case	,     snake_case   ):




   '''simple docstring'''

   check_args(snake_case	,     snake_case   )
   SCREAMING_SNAKE_CASE__			:				Tuple       						= angle_to_radians(snake_case   )
   return round(init_velocity**2 * sin(snake_case   ) ** 2 / (2 * g)	,     2   )


def 				UpperCamelCase	(  snake_case	,     snake_case   ):




   '''simple docstring'''

   check_args(snake_case	,     snake_case   )
   SCREAMING_SNAKE_CASE__			:				List[Any]       						= angle_to_radians(snake_case   )
   return round(2 * init_velocity * sin(snake_case   ) / g	,     2   )


def 				UpperCamelCase	(  ):




   '''simple docstring'''

   SCREAMING_SNAKE_CASE__			:				List[str]       						= 25, 20
   assert horizontal_distance(snake_case	,     snake_case   ) == 40.97
   assert max_height(snake_case	,     snake_case   ) == 3.73
   assert total_time(snake_case	,     snake_case   ) == 1.74


if __name__ == "__main__":
       from doctest import testmod

       testmod()

       # Get input from user
       lowercase__			=	float(input('''Initial Velocity: ''').strip())

       # Get input from user
       lowercase__			=	float(input('''angle: ''').strip())

       # Print results
       print()
       print('''Results: ''')
       print(F"Horizontal Distance: {horizontal_distance(init_vel, angle)!s} [m]")
       print(F"Maximum Height: {max_height(init_vel, angle)!s} [m]")
       print(F"Total Time: {total_time(init_vel, angle)!s} [s]")







'''simple docstring'''





from __future__ import annotations

import sys






class 						lowercase     :






      def __init__(self ,  a__ ,  a__					)       ->   List[str]:
         SCREAMING_SNAKE_CASE__			:				str       						= letter
         SCREAMING_SNAKE_CASE__			:				int       						= freq
         SCREAMING_SNAKE_CASE__			:				dict[str, str]       						= {}






      def __repr__(self					)       ->   str:
         return f"""{self.letter}:{self.freq}"""






class 						lowercase     :






      def __init__(self ,  a__ ,  a__ ,  a__					)       ->   Union[str, Any]:
         SCREAMING_SNAKE_CASE__			:				int       						= freq
         SCREAMING_SNAKE_CASE__			:				Letter | TreeNode       						= left
         SCREAMING_SNAKE_CASE__			:				Letter | TreeNode       						= right


def 				UpperCamelCase	(  snake_case   ):




   '''simple docstring'''

   SCREAMING_SNAKE_CASE__			:				dict[str, int]       						= {}
   with open(snake_case   ) as f:
      while True:
         SCREAMING_SNAKE_CASE__			:				List[str]       						= f.read(1   )
         if not c:
            break
         SCREAMING_SNAKE_CASE__			:				Optional[Any]       						= chars[c] + 1 if c in chars else 1
   return sorted((Letter(snake_case	,     snake_case   ) for c, f in chars.items())	,     key=lambda snake_case   : x.freq   )


def 				UpperCamelCase	(  snake_case   ):




   '''simple docstring'''

   SCREAMING_SNAKE_CASE__			:				list[Letter | TreeNode]       						= letters  # type: ignore
   while len(snake_case   ) > 1:
      SCREAMING_SNAKE_CASE__			:				Optional[Any]       						= response.pop(0   )
      SCREAMING_SNAKE_CASE__			:				Union[str, Any]       						= response.pop(0   )
      SCREAMING_SNAKE_CASE__			:				Dict       						= left.freq + right.freq
      SCREAMING_SNAKE_CASE__			:				Any       						= TreeNode(snake_case	,     snake_case	,     snake_case   )
      response.append(snake_case   )
      response.sort(key=lambda snake_case   : x.freq   )
   return response[0]


def 				UpperCamelCase	(  snake_case	,     snake_case   ):




   '''simple docstring'''

   if isinstance(snake_case	,     snake_case   ):
      SCREAMING_SNAKE_CASE__			:				Optional[int]       						= bitstring
      return [root]
   SCREAMING_SNAKE_CASE__			:				TreeNode       						= root  # type: ignore
   SCREAMING_SNAKE_CASE__			:				int       						= []
   letters += traverse_tree(treenode.left	,     bitstring + '''0'''   )
   letters += traverse_tree(treenode.right	,     bitstring + '''1'''   )
   return letters


def 				UpperCamelCase	(  snake_case   ):




   '''simple docstring'''

   SCREAMING_SNAKE_CASE__			:				Optional[int]       						= parse_file(snake_case   )
   SCREAMING_SNAKE_CASE__			:				List[Any]       						= build_tree(snake_case   )
   SCREAMING_SNAKE_CASE__			:				List[str]       						= {
       k: v for letter in traverse_tree(snake_case	,     ''''''   ) for k, v in letter.bitstring.items()
   }
   print(f"""Huffman Coding  of {file_path}: """   )
   with open(snake_case   ) as f:
      while True:
         SCREAMING_SNAKE_CASE__			:				Tuple       						= f.read(1   )
         if not c:
            break
         print(letters[c]	,     end=''' '''   )
   print()


if __name__ == "__main__":
       # pass the file path to the huffman function
       huffman(sys.argv[1])

