






'''simple docstring'''
import dataclasses
import re
import string
from typing import Any, Dict, Iterator, List, Mapping, Optional, Sequence, Tuple

import numpy as np

from . import residue_constants


a_					=	Mapping[str, np.ndarray]
a_					=	Mapping[str, Any]  # Is a nested dict.
a_					=	0.01






@dataclasses.dataclass(frozen=lowerCamelCase			)
class        __SCREAMING_SNAKE_CASE :
 snake_case_												=							42  # [num_res, num_atom_type, 3]

 # Amino-acid type for each residue represented as an integer between 0 and
 # 20, where 20 is 'X'.
 snake_case_												=							42  # [num_res]

 # Binary float mask to indicate presence of a particular atom. 1.0 if an atom
 # is present and 0.0 if not. This should be used for loss masking.
 snake_case_												=							42  # [num_res, num_atom_type]

 # Residue index as used in PDB. It is not necessarily continuous or 0-indexed.
 snake_case_												=							42  # [num_res]

 # B-factors, or temperature factors, of each residue (in sq. angstroms units),
 # representing the displacement of the residue from its ground truth mean
 # value.
 snake_case_												=							42  # [num_res, num_atom_type]

 # Chain indices for multi-chain predictions
 snake_case_												=							None

 # Optional remark about the protein. Included as a comment in output PDB
 # files
 snake_case_												=							None

 # Templates used to generate this protein (prediction-only)
 snake_case_												=							None

 # Chain corresponding to each parent
 snake_case_												=							None





def 	_a(					UpperCamelCase__			:  str							):




    '''simple docstring'''






    SCREAMING_SNAKE_CASE__       :			List[Any]													=R'''(\[[A-Z]+\]\n)'''
    SCREAMING_SNAKE_CASE__       :			List[str]													=[tag.strip() for tag in re.split(UpperCamelCase__,		UpperCamelCase__							) if len(UpperCamelCase__							) > 0]
    SCREAMING_SNAKE_CASE__       :			Iterator[Tuple[str, List[str]]]													=zip(tags[0::2],		[l.split('''\n'''							) for l in tags[1::2]]							)

    SCREAMING_SNAKE_CASE__       :			List[str]													=["N", "CA", "C"]
    SCREAMING_SNAKE_CASE__       :			int													=None
    SCREAMING_SNAKE_CASE__       :			List[Any]													=None
    SCREAMING_SNAKE_CASE__       :			Optional[Any]													=None
    for g in groups:
        if "[PRIMARY]" == g[0]:
            SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=g[1][0].strip()
            for i in range(len(UpperCamelCase__							)							):
                if seq[i] not in residue_constants.restypes:
                    SCREAMING_SNAKE_CASE__       :			Union[str, Any]													='''X'''  # FIXME: strings are immutable
            SCREAMING_SNAKE_CASE__       :			Optional[Any]													=np.array(
                [residue_constants.restype_order.get(UpperCamelCase__,		residue_constants.restype_num							) for res_symbol in seq]							)
        elif "[TERTIARY]" == g[0]:
            SCREAMING_SNAKE_CASE__       :			List[List[float]]													=[]
            for axis in range(3							):
                tertiary.append(list(map(UpperCamelCase__,		g[1][axis].split()							)							)							)
            SCREAMING_SNAKE_CASE__       :			List[str]													=np.array(UpperCamelCase__							)
            SCREAMING_SNAKE_CASE__       :			List[Any]													=np.zeros((len(tertiary[0]							) // 3, residue_constants.atom_type_num, 3)							).astype(np.floataa							)
            for i, atom in enumerate(UpperCamelCase__							):
                SCREAMING_SNAKE_CASE__       :			Any													=np.transpose(tertiary_np[:, i::3]							)
            atom_positions *= PICO_TO_ANGSTROM
        elif "[MASK]" == g[0]:
            SCREAMING_SNAKE_CASE__       :			List[str]													=np.array(list(map({'''-''': 0, '''+''': 1}.get,		g[1][0].strip()							)							)							)
            SCREAMING_SNAKE_CASE__       :			List[Any]													=np.zeros(
                (
                    len(UpperCamelCase__							),
                    residue_constants.atom_type_num,
                )							).astype(np.floataa							)
            for i, atom in enumerate(UpperCamelCase__							):
                SCREAMING_SNAKE_CASE__       :			List[Any]													=1
            atom_mask *= mask[..., None]

    assert aatype is not None

    return Protein(
        atom_positions=UpperCamelCase__,		atom_mask=UpperCamelCase__,		aatype=UpperCamelCase__,		residue_index=np.arange(len(UpperCamelCase__							)							),		b_factors=UpperCamelCase__,		)





def 	_a(					UpperCamelCase__			:  Protein,		UpperCamelCase__			:  int = 0							):




    '''simple docstring'''






    SCREAMING_SNAKE_CASE__       :			List[str]													=[]

    SCREAMING_SNAKE_CASE__       :			int													=prot.remark
    if remark is not None:
        pdb_headers.append(f"REMARK {remark}"							)

    SCREAMING_SNAKE_CASE__       :			str													=prot.parents
    SCREAMING_SNAKE_CASE__       :			List[Any]													=prot.parents_chain_index
    if parents is not None and parents_chain_index is not None:
        SCREAMING_SNAKE_CASE__       :			Any													=[p for i, p in zip(UpperCamelCase__,		UpperCamelCase__							) if i == chain_id]

    if parents is None or len(UpperCamelCase__							) == 0:
        SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=['''N/A''']

    pdb_headers.append(f"PARENT {' '.join(UpperCamelCase__							)}"							)

    return pdb_headers





def 	_a(					UpperCamelCase__			:  Protein,		UpperCamelCase__			:  str							):




    '''simple docstring'''






    SCREAMING_SNAKE_CASE__       :			List[str]													=[]
    SCREAMING_SNAKE_CASE__       :			Any													=pdb_str.split('''\n'''							)

    SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=prot.remark
    if remark is not None:
        out_pdb_lines.append(f"REMARK {remark}"							)

    SCREAMING_SNAKE_CASE__       :			List[List[str]]
    if prot.parents is not None and len(prot.parents							) > 0:
        SCREAMING_SNAKE_CASE__       :			Tuple													=[]
        if prot.parents_chain_index is not None:
            SCREAMING_SNAKE_CASE__       :			Dict[str, List[str]]													={}
            for p, i in zip(prot.parents,		prot.parents_chain_index							):
                parent_dict.setdefault(str(UpperCamelCase__							),		[]							)
                parent_dict[str(UpperCamelCase__							)].append(UpperCamelCase__							)

            SCREAMING_SNAKE_CASE__       :			str													=max([int(UpperCamelCase__							) for chain_idx in parent_dict]							)
            for i in range(max_idx + 1							):
                SCREAMING_SNAKE_CASE__       :			Optional[Any]													=parent_dict.get(str(UpperCamelCase__							),		['''N/A''']							)
                parents_per_chain.append(UpperCamelCase__							)
        else:
            parents_per_chain.append(list(prot.parents							)							)
    else:
        SCREAMING_SNAKE_CASE__       :			List[Any]													=[['''N/A''']]

    def make_parent_line(UpperCamelCase__			:  Sequence[str]							) -> str:
        return f"PARENT {' '.join(UpperCamelCase__							)}"

    out_pdb_lines.append(make_parent_line(parents_per_chain[0]							)							)

    SCREAMING_SNAKE_CASE__       :			str													=0
    for i, l in enumerate(UpperCamelCase__							):
        if "PARENT" not in l and "REMARK" not in l:
            out_pdb_lines.append(UpperCamelCase__							)
        if "TER" in l and "END" not in lines[i + 1]:
            chain_counter += 1
            if not chain_counter >= len(UpperCamelCase__							):
                SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=parents_per_chain[chain_counter]
            else:
                SCREAMING_SNAKE_CASE__       :			int													=['''N/A''']

            out_pdb_lines.append(make_parent_line(UpperCamelCase__							)							)

    return "\n".join(UpperCamelCase__							)





def 	_a(					UpperCamelCase__			:  Protein							):




    '''simple docstring'''






    SCREAMING_SNAKE_CASE__       :			List[str]													=residue_constants.restypes + ['''X''']

    def res_atoa(UpperCamelCase__			:  int							) -> str:
        return residue_constants.restype_atoa.get(restypes[r],		'''UNK'''							)

    SCREAMING_SNAKE_CASE__       :			str													=residue_constants.atom_types

    SCREAMING_SNAKE_CASE__       :			List[str]													=[]

    SCREAMING_SNAKE_CASE__       :			Tuple													=prot.atom_mask
    SCREAMING_SNAKE_CASE__       :			Tuple													=prot.aatype
    SCREAMING_SNAKE_CASE__       :			Optional[int]													=prot.atom_positions
    SCREAMING_SNAKE_CASE__       :			List[Any]													=prot.residue_index.astype(np.intaa							)
    SCREAMING_SNAKE_CASE__       :			Any													=prot.b_factors
    SCREAMING_SNAKE_CASE__       :			Optional[int]													=prot.chain_index

    if np.any(aatype > residue_constants.restype_num							):
        raise ValueError('''Invalid aatypes.'''							)

    SCREAMING_SNAKE_CASE__       :			List[str]													=get_pdb_headers(UpperCamelCase__							)
    if len(UpperCamelCase__							) > 0:
        pdb_lines.extend(UpperCamelCase__							)

    SCREAMING_SNAKE_CASE__       :			Tuple													=aatype.shape[0]
    SCREAMING_SNAKE_CASE__       :			str													=1
    SCREAMING_SNAKE_CASE__       :			Any													=0
    SCREAMING_SNAKE_CASE__       :			Tuple													=string.ascii_uppercase
    SCREAMING_SNAKE_CASE__       :			Optional[int]													=None
    # Add all atom sites.
    for i in range(UpperCamelCase__							):
        SCREAMING_SNAKE_CASE__       :			Any													=res_atoa(aatype[i]							)
        for atom_name, pos, mask, b_factor in zip(UpperCamelCase__,		atom_positions[i],		atom_mask[i],		b_factors[i]							):
            if mask < 0.5:
                continue

            SCREAMING_SNAKE_CASE__       :			int													='''ATOM'''
            SCREAMING_SNAKE_CASE__       :			str													=atom_name if len(UpperCamelCase__							) == 4 else f" {atom_name}"
            SCREAMING_SNAKE_CASE__       :			str													=''''''
            SCREAMING_SNAKE_CASE__       :			Optional[Any]													=''''''
            SCREAMING_SNAKE_CASE__       :			Any													=1.0_0
            SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=atom_name[0]  # Protein supports only C, N, O, S, this works.
            SCREAMING_SNAKE_CASE__       :			str													=''''''

            SCREAMING_SNAKE_CASE__       :			List[str]													='''A'''
            if chain_index is not None:
                SCREAMING_SNAKE_CASE__       :			Tuple													=chain_tags[chain_index[i]]

            # PDB is a columnar format, every space matters here!
            SCREAMING_SNAKE_CASE__       :			int													=(
                f"{record_type:<6}{atom_index:>5} {name:<4}{alt_loc:>1}"
                f"{res_name_a:>3} {chain_tag:>1}"
                f"{residue_index[i]:>4}{insertion_code:>1}   "
                f"{pos[0]:>8.3f}{pos[1]:>8.3f}{pos[2]:>8.3f}"
                f"{occupancy:>6.2f}{b_factor:>6.2f}          "
                f"{element:>2}{charge:>2}"
            )
            pdb_lines.append(UpperCamelCase__							)
            atom_index += 1

        SCREAMING_SNAKE_CASE__       :			Optional[Any]													=i == n - 1
        if chain_index is not None:
            if i != n - 1 and chain_index[i + 1] != prev_chain_index:
                SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=True
                SCREAMING_SNAKE_CASE__       :			Tuple													=chain_index[i + 1]

        if should_terminate:
            # Close the chain.
            SCREAMING_SNAKE_CASE__       :			Union[str, Any]													='''TER'''
            SCREAMING_SNAKE_CASE__       :			Optional[Any]													=(
                f"{chain_end:<6}{atom_index:>5}      {res_atoa(aatype[i]							):>3} {chain_tag:>1}{residue_index[i]:>4}"
            )
            pdb_lines.append(UpperCamelCase__							)
            atom_index += 1

            if i != n - 1:
                # "prev" is a misnomer here. This happens at the beginning of
                # each new chain.
                pdb_lines.extend(get_pdb_headers(UpperCamelCase__,		UpperCamelCase__							)							)

    pdb_lines.append('''END'''							)
    pdb_lines.append(''''''							)
    return "\n".join(UpperCamelCase__							)





def 	_a(					UpperCamelCase__			:  Protein							):




    '''simple docstring'''






    return residue_constants.STANDARD_ATOM_MASK[prot.aatype]







def 	_a(					UpperCamelCase__			:  FeatureDict,		UpperCamelCase__			:  ModelOutput,		UpperCamelCase__			:  Optional[np.ndarray] = None,		UpperCamelCase__			:  Optional[np.ndarray] = None,		UpperCamelCase__			:  Optional[str] = None,		UpperCamelCase__			:  Optional[Sequence[str]] = None,		UpperCamelCase__			:  Optional[Sequence[int]] = None,		):




    '''simple docstring'''






    return Protein(
        aatype=features['''aatype'''],		atom_positions=result['''final_atom_positions'''],		atom_mask=result['''final_atom_mask'''],		residue_index=features['''residue_index'''] + 1,		b_factors=b_factors if b_factors is not None else np.zeros_like(result['''final_atom_mask''']							),		chain_index=UpperCamelCase__,		remark=UpperCamelCase__,		parents=UpperCamelCase__,		parents_chain_index=UpperCamelCase__,		)







'''simple docstring'''
from __future__ import annotations

from random import random
from typing import Generic, TypeVar

a_					=	TypeVar('KT')
a_					=	TypeVar('VT')






class        __SCREAMING_SNAKE_CASE (     Generic[KT, VT]			):




 def __init__( self		:							Dict   , __lowercase		:							KT | str = "root"   , __lowercase		:							VT | None = None )		->  Dict:
       SCREAMING_SNAKE_CASE__       :			Any													=key
       SCREAMING_SNAKE_CASE__       :			Optional[int]													=value
       SCREAMING_SNAKE_CASE__       :			list[Node[KT, VT]]													=[]




 def __repr__( self		:							Any )		->  str:
       return F"Node({self.key}: {self.value})"




 @property
 def        __magic_name__		( self		:							List[Any] )		->  int:
       return len(self.forward )






class        __SCREAMING_SNAKE_CASE (     Generic[KT, VT]			):




 def __init__( self		:							int   , __lowercase		:							float = 0.5   , __lowercase		:							int = 16 )		->  int:
       SCREAMING_SNAKE_CASE__       :			Node[KT, VT]													=Node[KT, VT]()
       SCREAMING_SNAKE_CASE__       :			Any													=0
       SCREAMING_SNAKE_CASE__       :			Dict													=p
       SCREAMING_SNAKE_CASE__       :			Any													=max_level




 def __str__( self		:							Optional[Any] )		->  str:
       SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=list(self )

       if len(__lowercase ) == 0:
             return F"SkipList(level={self.level})"

       SCREAMING_SNAKE_CASE__       :			List[str]													=max((len(str(__lowercase ) ) for item in items)   , default=4 )
       SCREAMING_SNAKE_CASE__       :			Any													=max(__lowercase   , 4 ) + 4

       SCREAMING_SNAKE_CASE__       :			Any													=self.head
       SCREAMING_SNAKE_CASE__       :			List[Any]													=[]

       SCREAMING_SNAKE_CASE__       :			Tuple													=node.forward.copy()
       lines.append(F"[{node.key}]".ljust(__lowercase   , '''-''' ) + '''* ''' * len(__lowercase ) )
       lines.append(''' ''' * label_size + '''| ''' * len(__lowercase ) )

       while len(node.forward ) != 0:
             SCREAMING_SNAKE_CASE__       :			Optional[Any]													=node.forward[0]

             lines.append(
                 F"[{node.key}]".ljust(__lowercase   , '''-''' )
                 + ''' '''.join(str(n.key ) if n.key == node.key else '''|''' for n in forwards ) )
             lines.append(''' ''' * label_size + '''| ''' * len(__lowercase ) )
             SCREAMING_SNAKE_CASE__       :			Any													=node.forward

       lines.append('''None'''.ljust(__lowercase ) + '''* ''' * len(__lowercase ) )
       return F"SkipList(level={self.level})\n" + "\n".join(__lowercase )




 def __iter__( self		:							Union[str, Any] )		->  Optional[int]:
       SCREAMING_SNAKE_CASE__       :			List[str]													=self.head

       while len(node.forward ) != 0:
             yield node.forward[0].key
             SCREAMING_SNAKE_CASE__       :			List[Any]													=node.forward[0]




 def        __magic_name__		( self		:							Any )		->  int:
       SCREAMING_SNAKE_CASE__       :			Tuple													=1
       while random() < self.p and level < self.max_level:
             level += 1

       return level




 def        __magic_name__		( self		:							str   , __lowercase		:							List[str] )		->  tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:
       SCREAMING_SNAKE_CASE__       :			Optional[int]													=[]

       SCREAMING_SNAKE_CASE__       :			int													=self.head

       for i in reversed(range(self.level ) ):
             # i < node.level - When node level is lesser than `i` decrement `i`.
             # node.forward[i].key < key - Jumping to node with key value higher
             #                             or equal to searched key would result
             #                             in skipping searched key.
             while i < node.level and node.forward[i].key < key:
                   SCREAMING_SNAKE_CASE__       :			str													=node.forward[i]
             # Each leftmost node (relative to searched node) will potentially have to
             # be updated.
             update_vector.append(__lowercase )

       update_vector.reverse()  # Note that we were inserting values in reverse order.

       # len(node.forward) != 0 - If current node doesn't contain any further
       #                          references then searched key is not present.
       # node.forward[0].key == key - Next node key should be equal to search key
       #                              if key is present.
       if len(node.forward ) != 0 and node.forward[0].key == key:
             return node.forward[0], update_vector
       else:
             return None, update_vector




 def        __magic_name__		( self		:							Optional[int]   , __lowercase		:							KT )		->  List[Any]:
       SCREAMING_SNAKE_CASE__						,		SCREAMING_SNAKE_CASE__       :			Dict													=self._locate_node(__lowercase )

       if node is not None:
             for i, update_node in enumerate(__lowercase ):
                   # Remove or replace all references to removed node.
                   if update_node.level > i and update_node.forward[i].key == key:
                         if node.level > i:
                               SCREAMING_SNAKE_CASE__       :			List[str]													=node.forward[i]
                         else:
                               SCREAMING_SNAKE_CASE__       :			str													=update_node.forward[:i]




 def        __magic_name__		( self		:							str   , __lowercase		:							KT   , __lowercase		:							VT )		->  Optional[Any]:
       SCREAMING_SNAKE_CASE__						,		SCREAMING_SNAKE_CASE__       :			str													=self._locate_node(__lowercase )
       if node is not None:
             SCREAMING_SNAKE_CASE__       :			Dict													=value
       else:
             SCREAMING_SNAKE_CASE__       :			List[Any]													=self.random_level()

             if level > self.level:
                   # After level increase we have to add additional nodes to head.
                   for _ in range(self.level - 1   , __lowercase ):
                         update_vector.append(self.head )
                   SCREAMING_SNAKE_CASE__       :			List[str]													=level

             SCREAMING_SNAKE_CASE__       :			List[str]													=Node(__lowercase   , __lowercase )

             for i, update_node in enumerate(update_vector[:level] ):
                   # Change references to pass through new node.
                   if update_node.level > i:
                         new_node.forward.append(update_node.forward[i] )

                   if update_node.level < i + 1:
                         update_node.forward.append(__lowercase )
                   else:
                         SCREAMING_SNAKE_CASE__       :			int													=new_node




 def        __magic_name__		( self		:							Tuple   , __lowercase		:							VT )		->  VT | None:
       SCREAMING_SNAKE_CASE__						,		SCREAMING_SNAKE_CASE__       :			List[str]													=self._locate_node(__lowercase )

       if node is not None:
             return node.value

       return None





def 	_a(					):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=SkipList()
      skip_list.insert('''Key1''',		3							)
      skip_list.insert('''Key2''',		1_2							)
      skip_list.insert('''Key3''',		4_1							)
      skip_list.insert('''Key4''',		-1_9							)

      SCREAMING_SNAKE_CASE__       :			Any													=skip_list.head
      SCREAMING_SNAKE_CASE__       :			Union[str, Any]													={}
      while node.level != 0:
            SCREAMING_SNAKE_CASE__       :			Dict													=node.forward[0]
            SCREAMING_SNAKE_CASE__       :			Optional[Any]													=node.value

      assert len(UpperCamelCase__							) == 4
      assert all_values["Key1"] == 3
      assert all_values["Key2"] == 1_2
      assert all_values["Key3"] == 4_1
      assert all_values["Key4"] == -1_9





def 	_a(					):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=SkipList()
      skip_list.insert('''Key1''',		1_0							)
      skip_list.insert('''Key1''',		1_2							)

      skip_list.insert('''Key5''',		7							)
      skip_list.insert('''Key7''',		1_0							)
      skip_list.insert('''Key10''',		5							)

      skip_list.insert('''Key7''',		7							)
      skip_list.insert('''Key5''',		5							)
      skip_list.insert('''Key10''',		1_0							)

      SCREAMING_SNAKE_CASE__       :			Optional[Any]													=skip_list.head
      SCREAMING_SNAKE_CASE__       :			List[Any]													={}
      while node.level != 0:
            SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=node.forward[0]
            SCREAMING_SNAKE_CASE__       :			List[Any]													=node.value

      if len(UpperCamelCase__							) != 4:
            print()
      assert len(UpperCamelCase__							) == 4
      assert all_values["Key1"] == 1_2
      assert all_values["Key7"] == 7
      assert all_values["Key5"] == 5
      assert all_values["Key10"] == 1_0





def 	_a(					):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			int													=SkipList()
      assert skip_list.find('''Some key'''							) is None





def 	_a(					):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			int													=SkipList()

      skip_list.insert('''Key2''',		2_0							)
      assert skip_list.find('''Key2'''							) == 2_0

      skip_list.insert('''Some Key''',		1_0							)
      skip_list.insert('''Key2''',		8							)
      skip_list.insert('''V''',		1_3							)

      assert skip_list.find('''Y'''							) is None
      assert skip_list.find('''Key2'''							) == 8
      assert skip_list.find('''Some Key'''							) == 1_0
      assert skip_list.find('''V'''							) == 1_3





def 	_a(					):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			List[str]													=SkipList()
      skip_list.delete('''Some key'''							)

      assert len(skip_list.head.forward							) == 0





def 	_a(					):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			str													=SkipList()

      skip_list.insert('''Key1''',		1_2							)
      skip_list.insert('''V''',		1_3							)
      skip_list.insert('''X''',		1_4							)
      skip_list.insert('''Key2''',		1_5							)

      skip_list.delete('''V'''							)
      skip_list.delete('''Key2'''							)

      assert skip_list.find('''V'''							) is None
      assert skip_list.find('''Key2'''							) is None





def 	_a(					):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			Optional[int]													=SkipList()

      skip_list.insert('''Key1''',		1_2							)
      skip_list.insert('''V''',		1_3							)
      skip_list.insert('''X''',		1_4							)
      skip_list.insert('''Key2''',		1_5							)

      skip_list.delete('''V'''							)
      assert skip_list.find('''V'''							) is None
      assert skip_list.find('''X'''							) == 1_4
      assert skip_list.find('''Key1'''							) == 1_2
      assert skip_list.find('''Key2'''							) == 1_5

      skip_list.delete('''X'''							)
      assert skip_list.find('''V'''							) is None
      assert skip_list.find('''X'''							) is None
      assert skip_list.find('''Key1'''							) == 1_2
      assert skip_list.find('''Key2'''							) == 1_5

      skip_list.delete('''Key1'''							)
      assert skip_list.find('''V'''							) is None
      assert skip_list.find('''X'''							) is None
      assert skip_list.find('''Key1'''							) is None
      assert skip_list.find('''Key2'''							) == 1_5

      skip_list.delete('''Key2'''							)
      assert skip_list.find('''V'''							) is None
      assert skip_list.find('''X'''							) is None
      assert skip_list.find('''Key1'''							) is None
      assert skip_list.find('''Key2'''							) is None





def 	_a(					):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			str													=SkipList()

      skip_list.insert('''Key1''',		1_2							)
      skip_list.insert('''V''',		1_3							)
      skip_list.insert('''X''',		1_4_2							)
      skip_list.insert('''Key2''',		1_5							)

      skip_list.delete('''X'''							)

      def traverse_keys(UpperCamelCase__			:  Dict							):
            yield node.key
            for forward_node in node.forward:
                  yield from traverse_keys(UpperCamelCase__							)

      assert len(set(traverse_keys(skip_list.head							)							)							) == 4





def 	_a(					):




      '''simple docstring'''






      def is_sorted(UpperCamelCase__			:  List[Any]							):
            return all(next_item >= item for item, next_item in zip(UpperCamelCase__,		lst[1:]							)							)

      SCREAMING_SNAKE_CASE__       :			Tuple													=SkipList()
      for i in range(1_0							):
            skip_list.insert(UpperCamelCase__,		UpperCamelCase__							)
      assert is_sorted(list(UpperCamelCase__							)							)
      skip_list.delete(5							)
      skip_list.delete(8							)
      skip_list.delete(2							)
      assert is_sorted(list(UpperCamelCase__							)							)
      skip_list.insert(-1_2,		-1_2							)
      skip_list.insert(7_7,		7_7							)
      assert is_sorted(list(UpperCamelCase__							)							)





def 	_a(					):




      '''simple docstring'''






      for _ in range(1_0_0							):
            # Repeat test 100 times due to the probabilistic nature of skip list
            # random values == random bugs
            test_insert()
            test_insert_overrides_existing_value()

            test_searching_empty_list_returns_none()
            test_search()

            test_deleting_item_from_empty_list_do_nothing()
            test_deleted_items_are_not_founded_by_find_method()
            test_delete_removes_only_given_key()
            test_delete_doesnt_leave_dead_nodes()

            test_iter_always_yields_sorted_values()





def 	_a(					):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__       :			Any													=SkipList()
      skip_list.insert(2,		'''2'''							)
      skip_list.insert(4,		'''4'''							)
      skip_list.insert(6,		'''4'''							)
      skip_list.insert(4,		'''5'''							)
      skip_list.insert(8,		'''4'''							)
      skip_list.insert(9,		'''4'''							)

      skip_list.delete(4							)

      print(UpperCamelCase__							)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()