



"""simple docstring"""
import heapq
import sys

import numpy as np

UpperCAmelCase						:		Optional[Any]			= tuple[int, int]


class    SCREAMING_SNAKE_CASE__ :

    def __init__(				self			:				Any):







      """simple docstring"""







      lowercase_								= []
      lowercase_								= set()

    def 					_UpperCAmelCase	(				self			:				Optional[Any]):







      """simple docstring"""







      if not self.empty():
        return self.elements[0][0]
      else:
        return float("""inf""")

    def 					_UpperCAmelCase	(				self			:				Optional[Any]):







      """simple docstring"""







      return len(self.elements) == 0

    def 					_UpperCAmelCase	(				self			:				int ,  lowerCAmelCase_			:				str ,  lowerCAmelCase_			:				int):







      """simple docstring"""







      if item not in self.set:
        heapq.heappush(self.elements ,  (priority, item))
        self.set.add(lowerCAmelCase_)
      else:
        # update
        # print("update", item)
        lowercase_								= []
        ((lowercase_)					,    (lowercase_))								= heapq.heappop(self.elements)
        while x != item:
          temp.append((pri, x))
          ((lowercase_)					,    (lowercase_))								= heapq.heappop(self.elements)
        temp.append((priority, item))
        for pro, xxx in temp:
          heapq.heappush(self.elements ,  (pro, xxx))

    def 					_UpperCAmelCase	(				self			:				Tuple ,  lowerCAmelCase_			:				Dict):







      """simple docstring"""







      if item in self.set:
        self.set.remove(lowerCAmelCase_)
        lowercase_								= []
        ((lowercase_)					,    (lowercase_))								= heapq.heappop(self.elements)
        while x != item:
          temp.append((pro, x))
          ((lowercase_)					,    (lowercase_))								= heapq.heappop(self.elements)
        for prito, yyy in temp:
          heapq.heappush(self.elements ,  (prito, yyy))

    def 					_UpperCAmelCase	(				self			:				str):







      """simple docstring"""







      return self.elements[0][1]




    def 					_UpperCAmelCase	(				self			:				Any):







      """simple docstring"""







      ((lowercase_)					,    (lowercase_))								= heapq.heappop(self.elements)
      self.set.remove(lowerCAmelCase_)
      return (priority, item)







def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase							) ->						int:







  '''simple docstring'''


  lowercase_								= np.array(__lowerCAmelCase							)
  lowercase_								= np.array(__lowerCAmelCase							)
  return np.linalg.norm(a - b							)


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase							) ->						Tuple:







  '''simple docstring'''


  return consistent_heuristic(__lowerCAmelCase ,  __lowerCAmelCase							) // t


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase							) ->						str:







  '''simple docstring'''


  return abs(p[0] - goal[0]							) + abs(p[1] - goal[1]							)


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase							) ->						int:







  '''simple docstring'''


  lowercase_								= g_function[start] + Wa * heuristics[i](__lowerCAmelCase ,  __lowerCAmelCase							)
  return ans


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase							) ->						Optional[int]:







  '''simple docstring'''


  lowercase_								= np.chararray((n, n)							)
  for i in range(__lowerCAmelCase							):
    for j in range(__lowerCAmelCase							):
      lowercase_								= """*"""

  for i in range(__lowerCAmelCase							):
    for j in range(__lowerCAmelCase							):
      if (j, (n - 1) - i) in blocks:
        lowercase_								= """#"""

  lowercase_								= """-"""
  lowercase_								= back_pointer[goal]
  while x != start:
    ((lowercase_)					,    (lowercase_))								= x
    # print(x)
    lowercase_								= """-"""
    lowercase_								= back_pointer[x]
  lowercase_								= """-"""

  for i in range(__lowerCAmelCase							):
    for j in range(__lowerCAmelCase							):
      if (i, j) == (0, n - 1):
        print(grid[i][j] ,  end=""" """							)
        print("""<-- End position""" ,  end=""" """							)
      else:
        print(grid[i][j] ,  end=""" """							)
    print()
  print("""^"""							)
  print("""Start position"""							)
  print()
  print("""# is an obstacle"""							)
  print("""- is the path taken by algorithm"""							)
  print("""PATH TAKEN BY THE ALGORITHM IS:-"""							)
  lowercase_								= back_pointer[goal]
  while x != start:
    print(__lowerCAmelCase ,  end=""" """							)
    lowercase_								= back_pointer[x]
  print(__lowerCAmelCase							)
  sys.exit()


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							) ->						int:







  '''simple docstring'''


  if p[0] < 0 or p[0] > n - 1:
    return False
  if p[1] < 0 or p[1] > n - 1:
    return False
  return True


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  ) ->						List[str]:







  '''simple docstring'''


  for itera in range(__lowerCAmelCase							):
    open_list[itera].remove_element(__lowerCAmelCase							)
  # print("s", s)
  # print("j", j)
  ((lowercase_)					,    (lowercase_))								= s
  lowercase_								= (x - 1, y)
  lowercase_								= (x + 1, y)
  lowercase_								= (x, y + 1)
  lowercase_								= (x, y - 1)

  for neighbours in [left, right, up, down]:
    if neighbours not in blocks:
      if valid(__lowerCAmelCase							) and neighbours not in visited:
        # print("neighbour", neighbours)
        visited.add(__lowerCAmelCase							)
        lowercase_								= -1
        lowercase_								= float("""inf"""							)

      if valid(__lowerCAmelCase							) and g_function[neighbours] > g_function[s] + 1:
        lowercase_								= g_function[s] + 1
        lowercase_								= s
        if neighbours not in close_list_anchor:
          open_list[0].put(__lowerCAmelCase ,  key(__lowerCAmelCase ,  0 ,  __lowerCAmelCase ,  __lowerCAmelCase							)							)
          if neighbours not in close_list_inad:
            for var in range(1 ,  __lowerCAmelCase							):
              if key(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase							) <= Wa * key(
                  __lowerCAmelCase ,  0 ,  __lowerCAmelCase ,  __lowerCAmelCase							):
                open_list[j].put(
                    __lowerCAmelCase ,  key(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase							)							)


def 			_SCREAMING_SNAKE_CASE						() ->						List[str]:







  '''simple docstring'''


  lowercase_								= []
  for x in range(1 ,  5							):
    for y in range(1 ,  6							):
      some_list.append((x, y)							)

  for x in range(15 ,  20							):
    some_list.append((x, 17)							)

  for x in range(10 ,  19							):
    for y in range(1 ,  15							):
      some_list.append((x, y)							)

    # L block
  for x in range(1 ,  4							):
    for y in range(12 ,  19							):
      some_list.append((x, y)							)
  for x in range(3 ,  13							):
    for y in range(16 ,  19							):
      some_list.append((x, y)							)
  return some_list


UpperCAmelCase						:		List[Any]			= {0: consistent_heuristic, 1: heuristic_a, 2: heuristic_a}

UpperCAmelCase						:		str			= [
    (0, 1),
    (1, 1),
    (2, 1),
    (3, 1),
    (4, 1),
    (5, 1),
    (6, 1),
    (7, 1),
    (8, 1),
    (9, 1),
    (10, 1),
    (11, 1),
    (12, 1),
    (13, 1),
    (14, 1),
    (15, 1),
    (16, 1),
    (17, 1),
    (18, 1),
    (19, 1),
]
UpperCAmelCase						:		str			= make_common_ground()


UpperCAmelCase						:		List[str]			= blocks_blk
# hyper parameters
UpperCAmelCase						:		List[str]			= 1
UpperCAmelCase						:		Any			= 1
UpperCAmelCase						:		Dict			= 20
UpperCAmelCase						:		List[Any]			= 3  # one consistent and two other inconsistent

# start and end destination
UpperCAmelCase						:		List[Any]			= (0, 0)
UpperCAmelCase						:		Tuple			= (n - 1, n - 1)

UpperCAmelCase						:		Any			= 1


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase							) ->						Tuple:







  '''simple docstring'''


  lowercase_								= {start: 0, goal: float("""inf"""							)}
  lowercase_								= {start: -1, goal: -1}
  lowercase_								= []
  lowercase_								= set()

  for i in range(__lowerCAmelCase							):
    open_list.append(PriorityQueue()							)
    open_list[i].put(__lowerCAmelCase ,  key(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase							)							)

  lowercase_								= []
  lowercase_								= []
  while open_list[0].minkey() < float("""inf"""							):
    for i in range(1 ,  __lowerCAmelCase							):
      # print(open_list[0].minkey(), open_list[i].minkey())
      if open_list[i].minkey() <= Wa * open_list[0].minkey():
        global t
        t += 1
        if g_function[goal] <= open_list[i].minkey():
          if g_function[goal] < float("""inf"""							):
            do_something(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase							)
        else:
          lowercase_					,    lowercase_								= open_list[i].top_show()
          visited.add(__lowerCAmelCase							)
          expand_state(
              __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  )
          close_list_inad.append(__lowerCAmelCase							)
      else:
        if g_function[goal] <= open_list[0].minkey():
          if g_function[goal] < float("""inf"""							):
            do_something(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase							)
        else:
          lowercase_								= open_list[0].top_show()
          visited.add(__lowerCAmelCase							)
          expand_state(
              __lowerCAmelCase ,  0 ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase ,  )
          close_list_anchor.append(__lowerCAmelCase							)
  print("""No path found to goal"""							)
  print()
  for i in range(n - 1 ,  -1 ,  -1							):
    for j in range(__lowerCAmelCase							):
      if (j, i) in blocks:
        print("""#""" ,  end=""" """							)
      elif (j, i) in back_pointer:
        if (j, i) == (n - 1, n - 1):
          print("""*""" ,  end=""" """							)
        else:
          print("""-""" ,  end=""" """							)
      else:
        print("""*""" ,  end=""" """							)
      if (j, i) == (n - 1, n - 1):
        print("""<-- End position""" ,  end=""" """							)
    print()
  print("""^"""							)
  print("""Start position"""							)
  print()
  print("""# is an obstacle"""							)
  print("""- is the path taken by algorithm"""							)


if __name__ == "__main__":
       multi_a_star(start, goal, n_heuristic)






"""simple docstring"""
from __future__ import annotations

import math
from collections import Counter
from string import ascii_lowercase


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							) ->						None:







  '''simple docstring'''


  lowercase_					,    lowercase_								= analyze_text(__lowerCAmelCase							)
  lowercase_								= list(""" """ + ascii_lowercase							)
  # what is our total sum of probabilities.
  lowercase_								= sum(single_char_strings.values()							)

  # one length string
  lowercase_								= 0
  # for each alpha we go in our dict and if it is in it we calculate entropy
  for ch in my_alphas:
    if ch in single_char_strings:
      lowercase_								= single_char_strings[ch]
      lowercase_								= my_str / all_sum
      my_fir_sum += prob * math.loga(__lowerCAmelCase							)  # entropy formula.

    # print entropy
  print(F'''{round(-1 * my_fir_sum							):.1f}'''							)

  # two len string
  lowercase_								= sum(two_char_strings.values()							)
  lowercase_								= 0
  # for each alpha (two in size) calculate entropy.
  for cha in my_alphas:
    for cha in my_alphas:
      lowercase_								= cha + cha
      if sequence in two_char_strings:
        lowercase_								= two_char_strings[sequence]
        lowercase_								= int(__lowerCAmelCase							) / all_sum
        my_sec_sum += prob * math.loga(__lowerCAmelCase							)

    # print second entropy
  print(F'''{round(-1 * my_sec_sum							):.1f}'''							)

  # print the difference between them
  print(F'''{round((-1 * my_sec_sum) - (-1 * my_fir_sum)							):.1f}'''							)


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							) ->						tuple[dict, dict]:







  '''simple docstring'''


  lowercase_								= Counter()  # type: ignore
  lowercase_								= Counter()  # type: ignore
  single_char_strings[text[-1]] += 1

  # first case when we have space at start.
  two_char_strings[" " + text[0]] += 1
  for i in range(0 ,  len(__lowerCAmelCase							) - 1							):
    single_char_strings[text[i]] += 1
    two_char_strings[text[i : i + 2]] += 1
  return single_char_strings, two_char_strings


def 			_SCREAMING_SNAKE_CASE						() ->						str:







  '''simple docstring'''


  import doctest

  doctest.testmod()
  # text = (
  #     "Had repulsive dashwoods suspicion sincerity but advantage now him. Remark "
  #     "easily garret nor nay. Civil those mrs enjoy shy fat merry. You greatest "
  #     "jointure saw horrible. He private he on be imagine suppose. Fertile "
  #     "beloved evident through no service elderly is. Blind there if every no so "
  #     "at. Own neglected you preferred way sincerity delivered his attempted. To "
  #     "of message cottage windows do besides against uncivil.  Delightful "
  #     "unreserved impossible few estimating men favourable see entreaties. She "
  #     "propriety immediate was improving. He or entrance humoured likewise "
  #     "moderate. Much nor game son say feel. Fat make met can must form into "
  #     "gate. Me we offending prevailed discovery. "
  # )

  # calculate_prob(text)


if __name__ == "__main__":
       main()

