




from abc import ABC, abstractmethod
from typing import List, Optional





class 	lowerCamelCase_							(				_SCREAMING_SNAKE_CASE ):


 '''simple docstring'''







 def __init__(							self  :		Union[str, Any]						):
       # test for the above condition
       self.test()



 def 				lowerCAmelCase_  (							self  :		List[Any]						):
       SCREAMING_SNAKE_CASE_     						=      0
       SCREAMING_SNAKE_CASE_     						=      False
       while not completed:
             if counter == 1:
                   self.reset()
             SCREAMING_SNAKE_CASE_     						=      self.advance()
             if not self.does_advance(_lowerCAmelCase						):
                   raise Exception(
                       'Custom Constraint is not defined correctly. self.does_advance(self.advance()) must be true.'						)

             SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      self.update(_lowerCAmelCase						)
             counter += 1

             if counter > 10_000:
                   raise Exception('update() does not fulfill the constraint.'						)

       if self.remaining() != 0:
             raise Exception('Custom Constraint is not defined correctly.'						)



 @abstractmethod
 def 				lowerCAmelCase_  (							self  :		Any						):
       raise NotImplementedError(
           F"{self.__class__} is an abstract class. Only classes inheriting this class can be called."						)



 @abstractmethod
 def 				lowerCAmelCase_  (							self  :		Any    ,    _lowerCAmelCase  :		int						):
       raise NotImplementedError(
           F"{self.__class__} is an abstract class. Only classes inheriting this class can be called."						)



 @abstractmethod
 def 				lowerCAmelCase_  (							self  :		int    ,    _lowerCAmelCase  :		int						):
       raise NotImplementedError(
           F"{self.__class__} is an abstract class. Only classes inheriting this class can be called."						)



 @abstractmethod
 def 				lowerCAmelCase_  (							self  :		Tuple						):
       raise NotImplementedError(
           F"{self.__class__} is an abstract class. Only classes inheriting this class can be called."						)



 @abstractmethod
 def 				lowerCAmelCase_  (							self  :		Union[str, Any]						):
       raise NotImplementedError(
           F"{self.__class__} is an abstract class. Only classes inheriting this class can be called."						)




 @abstractmethod
 def 				lowerCAmelCase_  (							self  :		Optional[int]    ,    _lowerCAmelCase  :		Dict=False						):
       raise NotImplementedError(
           F"{self.__class__} is an abstract class. Only classes inheriting this class can be called."						)





class 	lowerCamelCase_							(				_SCREAMING_SNAKE_CASE ):


 '''simple docstring'''







 def __init__(							self  :		List[Any]    ,    _lowerCAmelCase  :		List[int]						):
       super(_lowerCAmelCase    ,    self						).__init__()

       if not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						) or len(_lowerCAmelCase						) == 0:
             raise ValueError(F"`token_ids` has to be a non-empty list, but is {token_ids}."						)
       if any((not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						) or token_id < 0) for token_id in token_ids						):
             raise ValueError(F"Each list in `token_ids` has to be a list of positive integers, but is {token_ids}."						)

       SCREAMING_SNAKE_CASE_     						=      token_ids

       SCREAMING_SNAKE_CASE_     						=      len(self.token_ids						)
       SCREAMING_SNAKE_CASE_     						=      -1  # the index of the currently fulfilled step
       SCREAMING_SNAKE_CASE_     						=      False



 def 				lowerCAmelCase_  (							self  :		Any						):
       if self.completed:
             return None
       return self.token_ids[self.fulfilled_idx + 1]



 def 				lowerCAmelCase_  (							self  :		Dict    ,    _lowerCAmelCase  :		int						):
       if not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						):
             raise ValueError(F"`token_id` has to be an `int`, but is {token_id} of type {type(_lowerCAmelCase						)}"						)

       if self.completed:
             return False

       return token_id == self.token_ids[self.fulfilled_idx + 1]



 def 				lowerCAmelCase_  (							self  :		Dict    ,    _lowerCAmelCase  :		int						):
       if not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						):
             raise ValueError(F"`token_id` has to be an `int`, but is {token_id} of type {type(_lowerCAmelCase						)}"						)

       SCREAMING_SNAKE_CASE_     						=      False
       SCREAMING_SNAKE_CASE_     						=      False
       SCREAMING_SNAKE_CASE_     						=      False

       if self.does_advance(_lowerCAmelCase						):
             self.fulfilled_idx += 1
             SCREAMING_SNAKE_CASE_     						=      True
             if self.fulfilled_idx == (self.seqlen - 1):
                   SCREAMING_SNAKE_CASE_     						=      True
             SCREAMING_SNAKE_CASE_     						=      completed
       else:
             # failed to make progress.
             SCREAMING_SNAKE_CASE_     						=      True
             self.reset()
       return stepped, completed, reset



 def 				lowerCAmelCase_  (							self  :		Dict						):
       SCREAMING_SNAKE_CASE_     						=      False
       SCREAMING_SNAKE_CASE_     						=      0



 def 				lowerCAmelCase_  (							self  :		Optional[int]						):
       return self.seqlen - (self.fulfilled_idx + 1)




 def 				lowerCAmelCase_  (							self  :		Optional[Any]    ,    _lowerCAmelCase  :		List[str]=False						):
       SCREAMING_SNAKE_CASE_     						=      PhrasalConstraint(self.token_ids						)

       if stateful:
             SCREAMING_SNAKE_CASE_     						=      self.seqlen
             SCREAMING_SNAKE_CASE_     						=      self.fulfilled_idx
             SCREAMING_SNAKE_CASE_     						=      self.completed

       return new_constraint





class 	lowerCamelCase_							:


 '''simple docstring'''







 def __init__(							self  :		List[str]    ,    _lowerCAmelCase  :		List[List[int]]    ,    _lowerCAmelCase  :		Dict=True						):
       SCREAMING_SNAKE_CASE_     						=      max([len(_lowerCAmelCase						) for one in nested_token_ids]						)

       SCREAMING_SNAKE_CASE_     						=      {}
       for token_ids in nested_token_ids:
             SCREAMING_SNAKE_CASE_     						=      root
             for tidx, token_id in enumerate(_lowerCAmelCase						):
                   if token_id not in level:
                         SCREAMING_SNAKE_CASE_     						=      {}

                   SCREAMING_SNAKE_CASE_     						=      level[token_id]

       if no_subsets and self.has_subsets(_lowerCAmelCase    ,    _lowerCAmelCase						):
             raise ValueError(
                 'Each list in `nested_token_ids` can\'t be a complete subset of another list, but is'
                 F" {nested_token_ids}."						)

       SCREAMING_SNAKE_CASE_     						=      root



 def 				lowerCAmelCase_  (							self  :		Union[str, Any]    ,    _lowerCAmelCase  :		List[Any]						):
       SCREAMING_SNAKE_CASE_     						=      self.trie

       for current_token in current_seq:
             SCREAMING_SNAKE_CASE_     						=      start[current_token]

       SCREAMING_SNAKE_CASE_     						=      list(start.keys()						)

       return next_tokens



 def 				lowerCAmelCase_  (							self  :		Dict    ,    _lowerCAmelCase  :		Union[str, Any]						):
       SCREAMING_SNAKE_CASE_     						=      self.next_tokens(_lowerCAmelCase						)

       return len(_lowerCAmelCase						) == 0



 def 				lowerCAmelCase_  (							self  :		str    ,    _lowerCAmelCase  :		Union[str, Any]						):
       SCREAMING_SNAKE_CASE_     						=      list(root.values()						)
       if len(_lowerCAmelCase						) == 0:
             return 1
       else:
             return sum([self.count_leaves(_lowerCAmelCase						) for nn in next_nodes]						)




 def 				lowerCAmelCase_  (							self  :		int    ,    _lowerCAmelCase  :		Any    ,    _lowerCAmelCase  :		Optional[int]						):
       SCREAMING_SNAKE_CASE_     						=      self.count_leaves(_lowerCAmelCase						)
       return len(_lowerCAmelCase						) != leaf_count





class 	lowerCamelCase_							(				_SCREAMING_SNAKE_CASE ):


 '''simple docstring'''







 def __init__(							self  :		List[str]    ,    _lowerCAmelCase  :		List[List[int]]						):
       super(_lowerCAmelCase    ,    self						).__init__()

       if not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						) or len(_lowerCAmelCase						) == 0:
             raise ValueError(F"`nested_token_ids` has to be a non-empty list, but is {nested_token_ids}."						)
       if any(not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						) for token_ids in nested_token_ids						):
             raise ValueError(F"`nested_token_ids` has to be a list of lists, but is {nested_token_ids}."						)
       if any(
           any((not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						) or token_id < 0) for token_id in token_ids						)
           for token_ids in nested_token_ids						):
             raise ValueError(
                 F"Each list in `nested_token_ids` has to be a list of positive integers, but is {nested_token_ids}."						)

       SCREAMING_SNAKE_CASE_     						=      DisjunctiveTrie(_lowerCAmelCase						)
       SCREAMING_SNAKE_CASE_     						=      nested_token_ids

       SCREAMING_SNAKE_CASE_     						=      self.trie.max_height
       SCREAMING_SNAKE_CASE_     						=      []
       SCREAMING_SNAKE_CASE_     						=      False



 def 				lowerCAmelCase_  (							self  :		Any						):
       SCREAMING_SNAKE_CASE_     						=      self.trie.next_tokens(self.current_seq						)

       if len(_lowerCAmelCase						) == 0:
             return None
       else:
             return token_list



 def 				lowerCAmelCase_  (							self  :		int    ,    _lowerCAmelCase  :		int						):
       if not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						):
             raise ValueError(F"`token_id` is supposed to be type `int`, but is {token_id} of type {type(_lowerCAmelCase						)}"						)

       SCREAMING_SNAKE_CASE_     						=      self.trie.next_tokens(self.current_seq						)

       return token_id in next_tokens



 def 				lowerCAmelCase_  (							self  :		List[str]    ,    _lowerCAmelCase  :		int						):
       if not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						):
             raise ValueError(F"`token_id` is supposed to be type `int`, but is {token_id} of type {type(_lowerCAmelCase						)}"						)

       SCREAMING_SNAKE_CASE_     						=      False
       SCREAMING_SNAKE_CASE_     						=      False
       SCREAMING_SNAKE_CASE_     						=      False

       if self.does_advance(_lowerCAmelCase						):
             self.current_seq.append(_lowerCAmelCase						)
             SCREAMING_SNAKE_CASE_     						=      True
       else:
             SCREAMING_SNAKE_CASE_     						=      True
             self.reset()

       SCREAMING_SNAKE_CASE_     						=      self.trie.reached_leaf(self.current_seq						)
       SCREAMING_SNAKE_CASE_     						=      completed

       return stepped, completed, reset



 def 				lowerCAmelCase_  (							self  :		Tuple						):
       SCREAMING_SNAKE_CASE_     						=      False
       SCREAMING_SNAKE_CASE_     						=      []



 def 				lowerCAmelCase_  (							self  :		Tuple						):
       if self.completed:
             # since this can be completed without reaching max height
             return 0
       else:
             return self.seqlen - len(self.current_seq						)




 def 				lowerCAmelCase_  (							self  :		str    ,    _lowerCAmelCase  :		List[Any]=False						):
       SCREAMING_SNAKE_CASE_     						=      DisjunctiveConstraint(self.token_ids						)

       if stateful:
             SCREAMING_SNAKE_CASE_     						=      self.seqlen
             SCREAMING_SNAKE_CASE_     						=      self.current_seq
             SCREAMING_SNAKE_CASE_     						=      self.completed

       return new_constraint





class 	lowerCamelCase_							:


 '''simple docstring'''







 def __init__(							self  :		Dict    ,    _lowerCAmelCase  :		List[Constraint]						):
       SCREAMING_SNAKE_CASE_     						=      constraints

       # max # of steps required to fulfill a given constraint
       SCREAMING_SNAKE_CASE_     						=      max([c.seqlen for c in constraints]						)
       SCREAMING_SNAKE_CASE_     						=      len(_lowerCAmelCase						)
       SCREAMING_SNAKE_CASE_     						=      False

       self.init_state()



 def 				lowerCAmelCase_  (							self  :		List[Any]						):
       SCREAMING_SNAKE_CASE_     						=      []
       SCREAMING_SNAKE_CASE_     						=      None
       SCREAMING_SNAKE_CASE_     						=      [constraint.copy(stateful=_lowerCAmelCase						) for constraint in self.constraints]



 def 				lowerCAmelCase_  (							self  :		Dict						):
       SCREAMING_SNAKE_CASE_     						=      0
       if self.inprogress_constraint:
             # extra points for having a constraint mid-fulfilled
             add += self.max_seqlen - self.inprogress_constraint.remaining()

       return (len(self.complete_constraints						) * self.max_seqlen) + add



 def 				lowerCAmelCase_  (							self  :		Optional[int]						):
       SCREAMING_SNAKE_CASE_     						=      []
       if self.inprogress_constraint is None:
             for constraint in self.pending_constraints:  # "pending" == "unfulfilled yet"
                   SCREAMING_SNAKE_CASE_     						=      constraint.advance()
                   if isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						):
                         token_list.append(_lowerCAmelCase						)
                   elif isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						):
                         token_list.extend(_lowerCAmelCase						)
       else:
             SCREAMING_SNAKE_CASE_     						=      self.inprogress_constraint.advance()
             if isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						):
                   token_list.append(_lowerCAmelCase						)
             elif isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						):
                   token_list.extend(_lowerCAmelCase						)

       if len(_lowerCAmelCase						) == 0:
             return None
       else:
             return token_list



 def 				lowerCAmelCase_  (							self  :		Dict    ,    _lowerCAmelCase  :		Optional[List[int]]						):
       self.init_state()

       if token_ids is not None:
             for token in token_ids:
                   # completes or steps **one** constraint
                   SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      self.add(_lowerCAmelCase						)

                   # the entire list of constraints are fulfilled
                   if self.completed:
                         break



 def 				lowerCAmelCase_  (							self  :		List[Any]    ,    _lowerCAmelCase  :		int						):
       if not isinstance(_lowerCAmelCase    ,    _lowerCAmelCase						):
             raise ValueError(F"`token_id` should be an `int`, but is `{token_id}`."						)

       SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      False, False

       if self.completed:
             SCREAMING_SNAKE_CASE_     						=      True
             SCREAMING_SNAKE_CASE_     						=      False
             return complete, stepped

       if self.inprogress_constraint is not None:
             # In the middle of fulfilling a constraint. If the `token_id` *does* makes an incremental progress to current
             # job, simply update the state

             SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      self.inprogress_constraint.update(_lowerCAmelCase						)
             if reset:
                   # 1. If the next token breaks the progress, then we must restart.
                   #     e.g. constraint = "I love pies" and sequence so far is "I love" but `token_id` == "books".

                   #     But that doesn't mean we self.init_state(), since we only reset the state for this particular
                   #     constraint, not the full list of constraints.

                   self.pending_constraints.append(self.inprogress_constraint.copy(stateful=_lowerCAmelCase						)						)
                   SCREAMING_SNAKE_CASE_     						=      None

             if complete:
                   # 2. If the next token completes the constraint, move it to completed list, set
                   #     inprogress to None. If there are no pending constraints either, then this full list of constraints
                   #     is complete.

                   self.complete_constraints.append(self.inprogress_constraint						)
                   SCREAMING_SNAKE_CASE_     						=      None

                   if len(self.pending_constraints						) == 0:
                         # we're done!
                         SCREAMING_SNAKE_CASE_     						=      True

       else:
             # Not in the middle of fulfilling a constraint. So does this `token_id` helps us step towards any of our list
             # of constraints?

             for cidx, pending_constraint in enumerate(self.pending_constraints						):
                   if pending_constraint.does_advance(_lowerCAmelCase						):
                         SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      pending_constraint.update(_lowerCAmelCase						)

                         if not stepped:
                               raise Exception(
                                   '`constraint.update(token_id)` is not yielding incremental progress, '
                                   'even though `constraint.does_advance(token_id)` is true.'						)

                         if complete:
                               self.complete_constraints.append(_lowerCAmelCase						)
                               SCREAMING_SNAKE_CASE_     						=      None

                         if not complete and stepped:
                               SCREAMING_SNAKE_CASE_     						=      pending_constraint

                         if complete or stepped:
                               # If we made any progress at all, then it's at least not a "pending constraint".

                               SCREAMING_SNAKE_CASE_     						=      (
                                   self.pending_constraints[:cidx] + self.pending_constraints[cidx + 1 :]
                               )

                               if len(self.pending_constraints						) == 0 and self.inprogress_constraint is None:
                                     # If there's no longer any pending after this and no inprogress either, then we must be
                                     # complete.

                                     SCREAMING_SNAKE_CASE_     						=      True

                               break  # prevent accidentally stepping through multiple constraints with just one token.

       return complete, stepped




 def 				lowerCAmelCase_  (							self  :		Optional[int]    ,    _lowerCAmelCase  :		Dict=True						):
       SCREAMING_SNAKE_CASE_     						=      ConstraintListState(self.constraints						)  # we actually never though self.constraints objects
       # throughout this process. So it's at initialization state.

       if stateful:
             SCREAMING_SNAKE_CASE_     						=      [
                 constraint.copy(stateful=_lowerCAmelCase						) for constraint in self.complete_constraints
             ]
             if self.inprogress_constraint is not None:
                   SCREAMING_SNAKE_CASE_     						=      self.inprogress_constraint.copy(stateful=_lowerCAmelCase						)
             SCREAMING_SNAKE_CASE_     						=      [constraint.copy() for constraint in self.pending_constraints]

       return new_state





import cva
import numpy as np





class 	lowerCamelCase_							:


 '''simple docstring'''







 def __init__(							self  :		Optional[Any]    ,    _lowerCAmelCase  :		float    ,    _lowerCAmelCase  :		int						):

       if k in (0.04, 0.06):
             SCREAMING_SNAKE_CASE_     						=      k
             SCREAMING_SNAKE_CASE_     						=      window_size
       else:
             raise ValueError('invalid k value'						)



 def __str__(							self  :		Tuple						):
       return str(self.k						)




 def 				lowerCAmelCase_  (							self  :		int    ,    _lowerCAmelCase  :		str						):
       SCREAMING_SNAKE_CASE_     						=      cva.imread(_lowerCAmelCase    ,    0						)
       SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      img.shape
       SCREAMING_SNAKE_CASE_     						=      []
       SCREAMING_SNAKE_CASE_     						=      img.copy()
       SCREAMING_SNAKE_CASE_     						=      cva.cvtColor(_lowerCAmelCase    ,    cva.COLOR_GRAY2RGB						)
       SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      np.gradient(_lowerCAmelCase						)
       SCREAMING_SNAKE_CASE_     						=      dx**2
       SCREAMING_SNAKE_CASE_     						=      dy**2
       SCREAMING_SNAKE_CASE_     						=      dx * dy
       SCREAMING_SNAKE_CASE_     						=      0.04
       SCREAMING_SNAKE_CASE_     						=      self.window_size // 2
       for y in range(_lowerCAmelCase    ,    h - offset						):
             for x in range(_lowerCAmelCase    ,    w - offset						):
                   SCREAMING_SNAKE_CASE_     						=      ixx[
                       y - offset : y + offset + 1, x - offset : x + offset + 1
                   ].sum()
                   SCREAMING_SNAKE_CASE_     						=      iyy[
                       y - offset : y + offset + 1, x - offset : x + offset + 1
                   ].sum()
                   SCREAMING_SNAKE_CASE_     						=      ixy[
                       y - offset : y + offset + 1, x - offset : x + offset + 1
                   ].sum()

                   SCREAMING_SNAKE_CASE_     						=      (wxx * wyy) - (wxy**2)
                   SCREAMING_SNAKE_CASE_     						=      wxx + wyy
                   SCREAMING_SNAKE_CASE_     						=      det - k * (trace**2)
                   # Can change the value
                   if r > 0.5:
                         corner_list.append([x, y, r]						)
                         color_img.itemset((y, x, 0)    ,    0						)
                         color_img.itemset((y, x, 1)    ,    0						)
                         color_img.itemset((y, x, 2)    ,    255						)
       return color_img, corner_list


if __name__ == "__main__":
   lowerCamelCase__			:       Optional[int]         =							HarrisCorner(0.04, 3)
   lowerCamelCase__    ,							lowerCamelCase__			:       str         =							edge_detect.detect('path_to_image')
   cva.imwrite('detect.png', color_img)