



import unittest

import numpy as np

from transformers import is_flax_available
from transformers.testing_utils import require_flax

from ..test_modeling_flax_common import ids_tensor


if is_flax_available():
       import jax
       import jax.numpy as jnp

       from transformers.generation import (
           FlaxForcedBOSTokenLogitsProcessor,
           FlaxForcedEOSTokenLogitsProcessor,
           FlaxLogitsProcessorList,
           FlaxMinLengthLogitsProcessor,
           FlaxTemperatureLogitsWarper,
           FlaxTopKLogitsWarper,
           FlaxTopPLogitsWarper,
       )



@require_flax
class       UpperCAmelCase__(							unittest.TestCase	):

   '''simple docstring'''




   def 			UpperCAmelCase		(						self  :			List[str]			,				lowerCAmelCase  :			int			,				lowerCAmelCase  :			int)	->				List[str]:




         """simple docstring"""

         lowercase__     =  jnp.ones((batch_size, length)) / length
         return scores


   def 			UpperCAmelCase		(						self  :			int)	->				Tuple:




         """simple docstring"""

         lowercase__     =  None
         lowercase__     =  20

         lowercase__     =  self._get_uniform_logits(batch_size=2			,				length=lowerCAmelCase)

         # tweak scores to not be uniform anymore
         lowercase__     =  scores.at[1, 5].set((1 / length) + 0.1)  # peak, 1st batch
         lowercase__     =  scores.at[1, 10].set((1 / length) - 0.4)  # valley, 1st batch

         # compute softmax
         lowercase__     =  jax.nn.softmax(lowerCAmelCase			,				axis=-1)

         lowercase__     =  FlaxTemperatureLogitsWarper(temperature=0.5)
         lowercase__     =  FlaxTemperatureLogitsWarper(temperature=1.3)

         lowercase__     =  jax.nn.softmax(temp_dist_warper_sharper(lowerCAmelCase			,				scores.copy()			,				cur_len=lowerCAmelCase)			,				axis=-1)
         lowercase__     =  jax.nn.softmax(temp_dist_warper_smoother(lowerCAmelCase			,				scores.copy()			,				cur_len=lowerCAmelCase)			,				axis=-1)

         # uniform distribution stays uniform
         self.assertTrue(jnp.allclose(probs[0, :]			,				warped_prob_sharp[0, :]			,				atol=1E-3))
         self.assertTrue(jnp.allclose(probs[0, :]			,				warped_prob_smooth[0, :]			,				atol=1E-3))

         # sharp peaks get higher, valleys get lower
         self.assertLess(probs[1, :].max()			,				warped_prob_sharp[1, :].max())
         self.assertGreater(probs[1, :].min()			,				warped_prob_sharp[1, :].min())

         # smooth peaks get lower, valleys get higher
         self.assertGreater(probs[1, :].max()			,				warped_prob_smooth[1, :].max())
         self.assertLess(probs[1, :].min()			,				warped_prob_smooth[1, :].min())


   def 			UpperCAmelCase		(						self  :			Dict)	->				Dict:




         """simple docstring"""

         lowercase__     =  None
         lowercase__     =  10
         lowercase__     =  2

         # create ramp distribution
         lowercase__     =  np.broadcast_to(np.arange(lowerCAmelCase)[None, :]			,				(batch_size, vocab_size)).copy()
         lowercase__     =  ramp_logits[1:, : vocab_size // 2] + vocab_size

         lowercase__     =  FlaxTopKLogitsWarper(3)

         lowercase__     =  top_k_warp(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)

         # check that correct tokens are filtered
         self.assertListEqual(jnp.isinf(scores[0]).tolist()			,				7 * [True] + 3 * [False])
         self.assertListEqual(jnp.isinf(scores[1]).tolist()			,				2 * [True] + 3 * [False] + 5 * [True])

         # check special case
         lowercase__     =  5
         lowercase__     =  FlaxTopKLogitsWarper(top_k=1			,				filter_value=0.0			,				min_tokens_to_keep=3)

         lowercase__     =  np.broadcast_to(np.arange(lowerCAmelCase)[None, :]			,				(batch_size, length)).copy()
         lowercase__     =  top_k_warp_safety_check(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)

         # min_tokens overwrites k: 3 tokens are kept => 2 tokens are nullified
         self.assertListEqual((scores == 0.0).sum(axis=-1).tolist()			,				[2, 2])


   def 			UpperCAmelCase		(						self  :			List[Any])	->				Dict:




         """simple docstring"""

         lowercase__     =  None
         lowercase__     =  10
         lowercase__     =  2

         # create distribution and take log (inverse to Softmax as taken in TopPLogitsWarper)
         lowercase__     =  np.log(np.array([[0.3, 0.1, 0.1, 0.5], [0.15, 0.3, 0.3, 0.25]]))

         lowercase__     =  FlaxTopPLogitsWarper(0.8)
         lowercase__     =  np.exp(top_p_warp(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase))

         # dist should be filtered to keep min num values so that sum is >= top_p
         # exp (-inf) => 0
         lowercase__     =  np.array([[0.3, 0.0, 0.0, 0.5], [0.0, 0.3, 0.3, 0.25]])
         self.assertTrue(np.allclose(lowerCAmelCase			,				lowerCAmelCase			,				atol=1E-3))

         # check edge cases with negative and extreme logits
         lowercase__     =  np.broadcast_to(np.arange(lowerCAmelCase)[None, :]			,				(batch_size, vocab_size)).copy() - (
             vocab_size // 2
         )

         # make ramp_logits more extreme
         lowercase__     =  ramp_logits[1] * 1_00.0

         # make sure at least 2 tokens are kept
         lowercase__     =  FlaxTopPLogitsWarper(0.9			,				min_tokens_to_keep=2			,				filter_value=0.0)
         lowercase__     =  top_p_warp(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)

         # first batch should keep three tokens, second batch would keep only 1, but due to `min_tokens_to_keep=2` keeps 2.
         self.assertListEqual((filtered_dist != 0.0).sum(axis=-1).tolist()			,				[3, 2])


   def 			UpperCAmelCase		(						self  :			int)	->				Optional[Any]:




         """simple docstring"""

         lowercase__     =  20
         lowercase__     =  4
         lowercase__     =  0

         lowercase__     =  FlaxMinLengthLogitsProcessor(min_length=10			,				eos_token_id=lowerCAmelCase)

         # check that min length is applied at length 5
         lowercase__     =  ids_tensor((batch_size, 20)			,				vocab_size=20)
         lowercase__     =  5
         lowercase__     =  self._get_uniform_logits(lowerCAmelCase			,				lowerCAmelCase)
         lowercase__     =  min_dist_processor(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         self.assertListEqual(scores_before_min_length[:, eos_token_id].tolist()			,				4 * [-float('inf')])

         # check that min length is not applied anymore at length 15
         lowercase__     =  self._get_uniform_logits(lowerCAmelCase			,				lowerCAmelCase)
         lowercase__     =  15
         lowercase__     =  min_dist_processor(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         self.assertFalse(jnp.isinf(lowerCAmelCase).any())


   def 			UpperCAmelCase		(						self  :			List[str])	->				int:




         """simple docstring"""

         lowercase__     =  20
         lowercase__     =  4
         lowercase__     =  0

         lowercase__     =  FlaxForcedBOSTokenLogitsProcessor(bos_token_id=lowerCAmelCase)

         # check that all scores are -inf except the bos_token_id score
         lowercase__     =  ids_tensor((batch_size, 1)			,				vocab_size=20)
         lowercase__     =  1
         lowercase__     =  self._get_uniform_logits(lowerCAmelCase			,				lowerCAmelCase)
         lowercase__     =  logits_processor(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         self.assertTrue(jnp.isneginf(scores[:, bos_token_id + 1 :]).all())
         self.assertListEqual(scores[:, bos_token_id].tolist()			,				4 * [0])  # score for bos_token_id shold be zero

         # check that bos_token_id is not forced if current length is greater than 1
         lowercase__     =  3
         lowercase__     =  self._get_uniform_logits(lowerCAmelCase			,				lowerCAmelCase)
         lowercase__     =  logits_processor(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         self.assertFalse(jnp.isinf(lowerCAmelCase).any())


   def 			UpperCAmelCase		(						self  :			Dict)	->				Dict:




         """simple docstring"""

         lowercase__     =  20
         lowercase__     =  4
         lowercase__     =  0
         lowercase__     =  5

         lowercase__     =  FlaxForcedEOSTokenLogitsProcessor(max_length=lowerCAmelCase			,				eos_token_id=lowerCAmelCase)

         # check that all scores are -inf except the eos_token_id when max_length is reached
         lowercase__     =  ids_tensor((batch_size, 4)			,				vocab_size=20)
         lowercase__     =  4
         lowercase__     =  self._get_uniform_logits(lowerCAmelCase			,				lowerCAmelCase)
         lowercase__     =  logits_processor(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         self.assertTrue(jnp.isneginf(scores[:, eos_token_id + 1 :]).all())
         self.assertListEqual(scores[:, eos_token_id].tolist()			,				4 * [0])  # score for eos_token_id should be zero

         # check that eos_token_id is not forced if max_length is not reached
         lowercase__     =  3
         lowercase__     =  self._get_uniform_logits(lowerCAmelCase			,				lowerCAmelCase)
         lowercase__     =  logits_processor(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         self.assertFalse(jnp.isinf(lowerCAmelCase).any())


   def 			UpperCAmelCase		(						self  :			Tuple)	->				Tuple:




         """simple docstring"""

         lowercase__     =  4
         lowercase__     =  10
         lowercase__     =  15
         lowercase__     =  2
         lowercase__     =  1
         lowercase__     =  15

         # dummy input_ids and scores
         lowercase__     =  ids_tensor((batch_size, sequence_length)			,				lowerCAmelCase)
         lowercase__     =  input_ids.copy()

         lowercase__     =  self._get_uniform_logits(lowerCAmelCase			,				lowerCAmelCase)
         lowercase__     =  scores.copy()

         # instantiate all dist processors
         lowercase__     =  FlaxTemperatureLogitsWarper(temperature=0.5)
         lowercase__     =  FlaxTopKLogitsWarper(3)
         lowercase__     =  FlaxTopPLogitsWarper(0.8)

         # instantiate all logits processors
         lowercase__     =  FlaxMinLengthLogitsProcessor(min_length=10			,				eos_token_id=lowerCAmelCase)
         lowercase__     =  FlaxForcedBOSTokenLogitsProcessor(bos_token_id=lowerCAmelCase)
         lowercase__     =  FlaxForcedEOSTokenLogitsProcessor(max_length=lowerCAmelCase			,				eos_token_id=lowerCAmelCase)

         lowercase__     =  10

         # no processor list
         lowercase__     =  temp_dist_warp(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         lowercase__     =  top_k_warp(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         lowercase__     =  top_p_warp(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         lowercase__     =  min_dist_proc(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         lowercase__     =  bos_dist_proc(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
         lowercase__     =  eos_dist_proc(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)

         # with processor list
         lowercase__     =  FlaxLogitsProcessorList(
             [temp_dist_warp, top_k_warp, top_p_warp, min_dist_proc, bos_dist_proc, eos_dist_proc])
         lowercase__     =  processor(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)

         # scores should be equal
         self.assertTrue(jnp.allclose(lowerCAmelCase			,				lowerCAmelCase			,				atol=1E-3))

         # input_ids should never be changed
         self.assertListEqual(input_ids.tolist()			,				input_ids_comp.tolist())



   def 			UpperCAmelCase		(						self  :			int)	->				Optional[int]:




         """simple docstring"""

         lowercase__     =  4
         lowercase__     =  10
         lowercase__     =  15
         lowercase__     =  2
         lowercase__     =  1
         lowercase__     =  15

         # dummy input_ids and scores
         lowercase__     =  ids_tensor((batch_size, sequence_length)			,				lowerCAmelCase)
         lowercase__     =  input_ids.copy()

         lowercase__     =  self._get_uniform_logits(lowerCAmelCase			,				lowerCAmelCase)
         lowercase__     =  scores.copy()

         # instantiate all dist processors
         lowercase__     =  FlaxTemperatureLogitsWarper(temperature=0.5)
         lowercase__     =  FlaxTopKLogitsWarper(3)
         lowercase__     =  FlaxTopPLogitsWarper(0.8)

         # instantiate all logits processors
         lowercase__     =  FlaxMinLengthLogitsProcessor(min_length=10			,				eos_token_id=lowerCAmelCase)
         lowercase__     =  FlaxForcedBOSTokenLogitsProcessor(bos_token_id=lowerCAmelCase)
         lowercase__     =  FlaxForcedEOSTokenLogitsProcessor(max_length=lowerCAmelCase			,				eos_token_id=lowerCAmelCase)

         lowercase__     =  10

         # no processor list
         def run_no_processor_list(lowerCAmelCase  :			List[Any]			,				lowerCAmelCase  :			str			,				lowerCAmelCase  :			List[str]):
               lowercase__     =  temp_dist_warp(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
               lowercase__     =  top_k_warp(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
               lowercase__     =  top_p_warp(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
               lowercase__     =  min_dist_proc(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
               lowercase__     =  bos_dist_proc(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
               lowercase__     =  eos_dist_proc(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
               return scores

         # with processor list
         def run_processor_list(lowerCAmelCase  :			Union[str, Any]			,				lowerCAmelCase  :			Union[str, Any]			,				lowerCAmelCase  :			Optional[Any]):
               lowercase__     =  FlaxLogitsProcessorList(
                   [temp_dist_warp, top_k_warp, top_p_warp, min_dist_proc, bos_dist_proc, eos_dist_proc])
               lowercase__     =  processor(lowerCAmelCase			,				lowerCAmelCase			,				cur_len=lowerCAmelCase)
               return scores

         lowercase__     =  jax.jit(lowerCAmelCase)
         lowercase__     =  jax.jit(lowerCAmelCase)

         lowercase__     =  jitted_run_no_processor_list(lowerCAmelCase			,				lowerCAmelCase			,				lowerCAmelCase)
         lowercase__     =  jitted_run_processor_list(lowerCAmelCase			,				lowerCAmelCase			,				lowerCAmelCase)

         # scores should be equal
         self.assertTrue(jnp.allclose(lowerCAmelCase			,				lowerCAmelCase			,				atol=1E-3))

         # input_ids should never be changed
         self.assertListEqual(input_ids.tolist()			,				input_ids_comp.tolist())





import heapq
import sys

import numpy as np

a__      :				Dict   	=			tuple[int, int]



class       UpperCAmelCase__:

   '''simple docstring'''




   def __init__(						self  :			List[str])	->				Any:




         """simple docstring"""

         lowercase__     =  []
         lowercase__     =  set()


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




         """simple docstring"""

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


   def 			UpperCAmelCase		(						self  :			int)	->				str:




         """simple docstring"""

         return len(self.elements) == 0


   def 			UpperCAmelCase		(						self  :			Dict			,				lowerCAmelCase  :			List[Any]			,				lowerCAmelCase  :			List[str])	->				List[str]:




         """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  :			Optional[Any]			,				lowerCAmelCase  :			int)	->				Tuple:




         """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  :			Dict)	->				List[Any]:




         """simple docstring"""

         return self.elements[0][1]



   def 			UpperCAmelCase		(						self  :			List[str])	->				str:




         """simple docstring"""

         ((lowercase__),	(lowercase__))     =  heapq.heappop(self.elements)
         self.set.remove(lowerCAmelCase)
         return (priority, item)

def   _lowerCAmelCase   (						A__						,  A__	):
      # euclidean distance
      lowercase__     =  np.array(A__	)
      lowercase__     =  np.array(A__	)
      return np.linalg.norm(a - b	)

def   _lowerCAmelCase   (						A__						,  A__	):
      # integer division by time variable
      return consistent_heuristic(A__						,  A__	) // t

def   _lowerCAmelCase   (						A__						,  A__	):
      # manhattan distance
      return abs(p[0] - goal[0]	) + abs(p[1] - goal[1]	)

def   _lowerCAmelCase   (						A__						,  A__						,  A__						,  A__	):
      lowercase__     =  g_function[start] + Wa * heuristics[i](A__						,  A__	)
      return ans

def   _lowerCAmelCase   (						A__						,  A__						,  A__	):
      lowercase__     =  np.chararray((n, n)	)
      for i in range(A__	):
            for j in range(A__	):
                  lowercase__     =  '*'

      for i in range(A__	):
            for j in range(A__	):
                  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(A__	):
            for j in range(A__	):
                  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(A__						,  end=' '	)
            lowercase__     =  back_pointer[x]
      print(A__	)
      sys.exit()

def   _lowerCAmelCase   (						A__	):
      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   _lowerCAmelCase   (						A__						,  A__						,  A__						,  A__						,  A__						,  A__						,  A__						,  A__						,  ):
      for itera in range(A__	):
            open_list[itera].remove_element(A__	)
      # 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(A__	) and neighbours not in visited:
                        # print("neighbour", neighbours)
                        visited.add(A__	)
                        lowercase__     =  -1
                        lowercase__     =  float('inf'	)

                  if valid(A__	) 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(A__						,  key(A__						,  0						,  A__						,  A__	)	)
                              if neighbours not in close_list_inad:
                                    for var in range(1						,  A__	):
                                          if key(A__						,  A__						,  A__						,  A__	) <= Wa * key(
                                              A__						,  0						,  A__						,  A__	):
                                                open_list[j].put(
                                                    A__						,  key(A__						,  A__						,  A__						,  A__	)	)

def   _lowerCAmelCase   (						):
      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


a__      :				str   	=			{0: consistent_heuristic, 1: heuristic_a, 2: heuristic_a}

a__      :				Any   	=			[
    (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),
]
a__      :				Any   	=			make_common_ground()


a__      :				Union[str, Any]   	=			blocks_blk
# hyper parameters
a__      :				List[Any]   	=			1
a__      :				List[str]   	=			1
a__      :				Optional[int]   	=			20
a__      :				Optional[Any]   	=			3  # one consistent and two other inconsistent

# start and end destination
a__      :				Tuple   	=			(0, 0)
a__      :				str   	=			(n - 1, n - 1)

a__      :				Optional[Any]   	=			1

def   _lowerCAmelCase   (						A__						,  A__						,  A__	):
      lowercase__     =  {start: 0, goal: float('inf'	)}
      lowercase__     =  {start: -1, goal: -1}
      lowercase__     =  []
      lowercase__     =  set()

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

      lowercase__     =  []
      lowercase__     =  []
      while open_list[0].minkey() < float('inf'	):
            for i in range(1						,  A__	):
                  # 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(A__						,  A__						,  A__	)
                        else:
                              lowercase__,	lowercase__     =  open_list[i].top_show()
                              visited.add(A__	)
                              expand_state(
                                  A__						,  A__						,  A__						,  A__						,  A__						,  A__						,  A__						,  A__						,  )
                              close_list_inad.append(A__	)
                  else:
                        if g_function[goal] <= open_list[0].minkey():
                              if g_function[goal] < float('inf'	):
                                    do_something(A__						,  A__						,  A__	)
                        else:
                              lowercase__     =  open_list[0].top_show()
                              visited.add(A__	)
                              expand_state(
                                  A__						,  0						,  A__						,  A__						,  A__						,  A__						,  A__						,  A__						,  )
                              close_list_anchor.append(A__	)
      print('No path found to goal'	)
      print()
      for i in range(n - 1						,  -1						,  -1	):
            for j in range(A__	):
                  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)
