





"""simple docstring"""




from __future__ import annotations

from collections import deque
from enum import Enum
from math import atana, degrees
from sys import maxsize




class 			_lowerCamelCase	(      a      ):



      """simple docstring"""






      UpperCAmelCase_  : List[Any]				      =1
      UpperCAmelCase_  : List[Any]				      =2
      UpperCAmelCase_  : Optional[Any]				      =3







      def __repr__(	self				)    ->				Union[str, Any]:






        '''simple docstring'''






        return F"""{self.__class__.__name__}.{self.name}"""







def  lowerCAmelCase__(		lowercase    :      tuple[int, int]				,       lowercase    :      int				,       lowercase    :      int			)	->      float:
  __snake_case				:			Union[str, Any]            =    point
  return degrees(atana(y - miny				,       x - minx			)			)







def  lowerCAmelCase__(		lowercase    :      tuple[int, int]				,       lowercase    :      tuple[int, int]				,       lowercase    :      tuple[int, int]			)	->      Direction:
  __snake_case				:			Union[str, Any]            =    starting
  __snake_case				:			int            =    via
  __snake_case				:			Optional[Any]            =    target
  __snake_case				:			List[str]            =    degrees(atana(ya - ya				,       xa - xa			)			)
  via_angle %= 360
  __snake_case				:			List[str]            =    degrees(atana(ya - ya				,       xa - xa			)			)
  target_angle %= 360
  # t-
  #  \ \
  #   \ v
  #    \|
  #     s
  # via_angle is always lower than target_angle, if direction is left.
  # If they are same, it means they are on a same line of convex hull.
  if target_angle > via_angle:
    return Direction.left
  elif target_angle == via_angle:
    return Direction.straight
  else:
    return Direction.right







def  lowerCAmelCase__(		lowercase    :      list[tuple[int, int]]			)	->      list[tuple[int, int]]:

  if len(lowercase			) <= 2:
    # There is no convex hull
    raise ValueError("graham_scan: argument must contain more than 3 points."			)
  if len(lowercase			) == 3:
    return points
  # find the lowest and the most left point
  __snake_case				:			int            =    0
  __snake_case				:			Dict            =    maxsize, maxsize
  for i, point in enumerate(lowercase			):
    __snake_case				:			str            =    point[0]
    __snake_case				:			Tuple            =    point[1]
    if y < miny:
      __snake_case				:			Tuple            =    y
      __snake_case				:			Tuple            =    x
      __snake_case				:			Tuple            =    i
    if y == miny and x < minx:
      __snake_case				:			str            =    x
      __snake_case				:			Tuple            =    i

    # remove the lowest and the most left point from points for preparing for sort
  points.pop(lowercase			)

  __snake_case				:			Optional[int]            =    sorted(lowercase				,       key=lambda lowercase			: angle_comparer(lowercase				,       lowercase				,       lowercase			)			)
  # This insert actually costs complexity,
  # and you should instead add (minx, miny) into stack later.
  # I'm using insert just for easy understanding.
  sorted_points.insert(0				,       (minx, miny)			)

  __snake_case				:			deque[tuple[int, int]]            =    deque()
  stack.append(sorted_points[0]			)
  stack.append(sorted_points[1]			)
  stack.append(sorted_points[2]			)
  # In any ways, the first 3 points line are towards left.
  # Because we sort them the angle from minx, miny.
  __snake_case				:			Union[str, Any]            =    Direction.left

  for i in range(3				,       len(lowercase			)			):
    while True:
      __snake_case				:			List[Any]            =    stack[-2]
      __snake_case				:			Optional[int]            =    stack[-1]
      __snake_case				:			List[str]            =    sorted_points[i]
      __snake_case				:			Union[str, Any]            =    check_direction(lowercase				,       lowercase				,       lowercase			)

      if next_direction == Direction.left:
        __snake_case				:			str            =    Direction.left
        break
      if next_direction == Direction.straight:
        if current_direction == Direction.left:
          # We keep current_direction as left.
          # Because if the straight line keeps as straight,
          # we want to know if this straight line is towards left.
          break
        elif current_direction == Direction.right:
          # If the straight line is towards right,
          # every previous points on those straigh line is not convex hull.
          stack.pop()
      if next_direction == Direction.right:
        stack.pop()
    stack.append(sorted_points[i]			)
  return list(lowercase			)








from __future__ import annotations

import sys




class 			_lowerCamelCase	:



      """simple docstring"""






      def __init__(	self			,  UpperCAmelCase			,  UpperCAmelCase				)    ->				Union[str, Any]:






        '''simple docstring'''






        __snake_case				:			str            =    letter
        __snake_case				:			int            =    freq
        __snake_case				:			dict[str, str]            =    {}







      def __repr__(	self				)    ->				str:






        '''simple docstring'''






        return F"""{self.letter}:{self.freq}"""




class 			_lowerCamelCase	:



      """simple docstring"""






      def __init__(	self			,  UpperCAmelCase			,  UpperCAmelCase			,  UpperCAmelCase				)    ->				Any:






        '''simple docstring'''






        __snake_case				:			int            =    freq
        __snake_case				:			Letter | TreeNode            =    left
        __snake_case				:			Letter | TreeNode            =    right







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







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







def  lowerCAmelCase__(		lowercase    :      Letter | TreeNode				,       lowercase    :      str			)	->      list[Letter]:
  if isinstance(lowercase				,       lowercase			):
    __snake_case				:			List[str]            =    bitstring
    return [root]
  __snake_case				:			TreeNode            =    root  # type: ignore
  __snake_case				:			Union[str, Any]            =    []
  letters += traverse_tree(treenode.left				,       bitstring + "0"			)
  letters += traverse_tree(treenode.right				,       bitstring + "1"			)
  return letters







def  lowerCAmelCase__(		lowercase    :      str			)	->      None:
  __snake_case				:			List[Any]            =    parse_file(lowercase			)
  __snake_case				:			List[str]            =    build_tree(lowercase			)
  __snake_case				:			Optional[int]            =    {
      k: v for letter in traverse_tree(lowercase				,       ""			) for k, v in letter.bitstring.items()
  }
  print(f"""Huffman Coding  of {file_path}: """			)
  with open(lowercase			) as f:
    while True:
      __snake_case				:			int            =    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])

