
import json
import os
import pickle
import subprocess
from hashlib import mda
from pathlib import Path
from tempfile import gettempdir
from textwrap import dedent
from types import CodeType, FunctionType
from unittest import TestCase
from unittest.mock import patch

import pytest
from multiprocess import Pool
from packaging import version

import datasets
from datasets.fingerprint import Hasher, fingerprint_transform
from datasets.table import InMemoryTable

from .utils import (
    require_regex,
    require_spacy,
    require_spacy_model,
    require_tiktoken,
    require_torch,
    require_transformers,
)





class      _lowerCAmelCase :




				def __init__( self    ,    _UpperCamelCase					)    ->				int:
							lowerCAmelCase_      =     foo




				def __call__( self					)    ->				int:
							return self.foo





class      _lowerCAmelCase (     datasets.Dataset	):




				@fingerprint_transform(inplace=_UpperCamelCase					)
				def 					__a						( self    ,    _UpperCamelCase    ,    *_UpperCamelCase    ,    **_UpperCamelCase					)    ->				Union[str, Any]:
							return DatasetChild(self.data    ,    fingerprint=_UpperCamelCase					)




				@fingerprint_transform(inplace=_UpperCamelCase					)
				def 					__a						( self    ,    _UpperCamelCase    ,    *_UpperCamelCase    ,    **_UpperCamelCase					)    ->				Any:
							return DatasetChild(self.data    ,    fingerprint=_UpperCamelCase					)





class      _lowerCAmelCase :




				def __init__( self    ,    _UpperCamelCase					)    ->				Any:
							lowerCAmelCase_      =     callable




				def __call__( self    ,    *_UpperCamelCase    ,    **_UpperCamelCase					)    ->				Optional[Any]:
							if self.callable is not None:
										return self.callable(*_UpperCamelCase    ,    **_UpperCamelCase					)




				def __getstate__( self					)    ->				Any:
							raise pickle.PicklingError()





class      _lowerCAmelCase (     __a	):




				@require_transformers
				@pytest.mark.integration
				def 					__a						( self					)    ->				List[str]:
							from transformers import AutoTokenizer

							def encode(_UpperCamelCase					):
										return tokenizer(_UpperCamelCase					)

							# TODO: add hash consistency tests across sessions
							lowerCAmelCase_      =     AutoTokenizer.from_pretrained("bert-base-uncased"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(lambda _UpperCamelCase					: tokenizer(_UpperCamelCase					)					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     AutoTokenizer.from_pretrained("bert-base-cased"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(lambda _UpperCamelCase					: tokenizer(_UpperCamelCase					)					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     AutoTokenizer.from_pretrained("bert-base-uncased"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(lambda _UpperCamelCase					: tokenizer(_UpperCamelCase					)					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				@require_transformers
				@pytest.mark.integration
				def 					__a						( self					)    ->				int:
							from transformers import AutoTokenizer

							lowerCAmelCase_      =     AutoTokenizer.from_pretrained("gpt2"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							tokenizer("Hello world !"					)  # call once to change the tokenizer's cache
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				@require_regex
				def 					__a						( self					)    ->				str:
							import regex

							lowerCAmelCase_      =     regex.Regex("foo"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     regex.Regex("bar"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     regex.Regex("foo"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)





class      _lowerCAmelCase (     __a	):




				def 					__a						( self					)    ->				int:
							def func():
										return foo

							lowerCAmelCase_      =     [0]
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     [1]
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     [0]
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				def 					__a						( self					)    ->				str:
							def func():
										pass

							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()

							def func():
										pass

							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				def 					__a						( self					)    ->				Optional[int]:
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(Foo([0]					)					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(Foo([1]					)					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(Foo([0]					)					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				def 					__a						( self					)    ->				str:
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(Foo([0]					).__call__					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(Foo([1]					).__call__					)					).hexdigest()
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(Foo([0]					).__call__					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				def 					__a						( self					)    ->				Dict:
							lowerCAmelCase_      =     (
							    "co_argcount",
							    "co_kwonlyargcount",
							    "co_nlocals",
							    "co_stacksize",
							    "co_flags",
							    "co_code",
							    "co_consts",
							    "co_names",
							    "co_varnames",
							    "co_filename",
							    "co_name",
							    "co_firstlineno",
							    "co_lnotab",
							    "co_freevars",
							    "co_cellvars",
							)

							def _create_code_pyaa(*_UpperCamelCase					):
										if hasattr(args[-3]    ,    "encode"					):
													lowerCAmelCase_      =     list(_UpperCamelCase					)
													lowerCAmelCase_      =     args[-3].encode()  # co_lnotab
													lowerCAmelCase_      =     args[-10].encode()  # co_code
										if hasattr(_UpperCamelCase    ,    "co_posonlyargcount"					):
													if len(_UpperCamelCase					) == 16:
																return CodeType(*_UpperCamelCase					)
													elif len(_UpperCamelCase					) == 15:
																return CodeType(args[0]    ,    0    ,    *args[1:]					)
													return CodeType(args[0]    ,    0    ,    0    ,    *args[1:]					)
										elif hasattr(_UpperCamelCase    ,    "co_kwonlyargcount"					):
													if len(_UpperCamelCase					) == 16:
																return CodeType(args[0]    ,    *args[2:]					)
													elif len(_UpperCamelCase					) == 15:
																return CodeType(*_UpperCamelCase					)
													return CodeType(args[0]    ,    0    ,    *args[1:]					)
										if len(_UpperCamelCase					) == 16:
													return CodeType(args[0]    ,    *args[3:]					)
										elif len(_UpperCamelCase					) == 15:
													return CodeType(args[0]    ,    *args[2:]					)
										return CodeType(*_UpperCamelCase					)

							def create_ipython_func(_UpperCamelCase    ,    _UpperCamelCase					):
										def func():
													return returned_obj

										lowerCAmelCase_      =     func.__code__
										# Use _create_code from dill in order to make it work for different python versions
										if datasets.config.PY_VERSION < version.parse("3.8"					):
													lowerCAmelCase_      =     _create_code_pyaa(
													    *[getattr(_UpperCamelCase    ,    _UpperCamelCase					) if k != "co_filename" else co_filename for k in code_args_pyaa]					)
										else:
													lowerCAmelCase_      =     code.replace(co_filename=_UpperCamelCase					)
										return FunctionType(_UpperCamelCase    ,    func.__globals__    ,    func.__name__    ,    func.__defaults__    ,    func.__closure__					)

							lowerCAmelCase_     ,  lowerCAmelCase_      =     "<ipython-input-2-e0383a102aae>", [0]
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(create_ipython_func(_UpperCamelCase    ,    _UpperCamelCase					)					)					).hexdigest()
							lowerCAmelCase_     ,  lowerCAmelCase_      =     "<ipython-input-2-e0383a102aae>", [1]
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(create_ipython_func(_UpperCamelCase    ,    _UpperCamelCase					)					)					).hexdigest()
							lowerCAmelCase_     ,  lowerCAmelCase_      =     "<ipython-input-5-713f6613acf3>", [0]
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(create_ipython_func(_UpperCamelCase    ,    _UpperCamelCase					)					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)

							lowerCAmelCase_     ,  lowerCAmelCase_      =     os.path.join(gettempdir()    ,    "ipykernel_12345"    ,    "321456789.py"					), [0]
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(create_ipython_func(_UpperCamelCase    ,    _UpperCamelCase					)					)					).hexdigest()
							lowerCAmelCase_     ,  lowerCAmelCase_      =     os.path.join(gettempdir()    ,    "ipykernel_12345"    ,    "321456789.py"					), [1]
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(create_ipython_func(_UpperCamelCase    ,    _UpperCamelCase					)					)					).hexdigest()
							lowerCAmelCase_     ,  lowerCAmelCase_      =     os.path.join(gettempdir()    ,    "ipykernel_12345"    ,    "654123987.py"					), [0]
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(create_ipython_func(_UpperCamelCase    ,    _UpperCamelCase					)					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				def 					__a						( self					)    ->				Optional[int]:
							lowerCAmelCase_     ,  lowerCAmelCase_      =     [0], [1]

							def func():
										return foo, bar

							lowerCAmelCase_      =     "__main__"

							def globalvars_mocka_side_effect(_UpperCamelCase    ,    *_UpperCamelCase    ,    **_UpperCamelCase					):
										return {"foo": foo, "bar": bar}

							def globalvars_mocka_side_effect(_UpperCamelCase    ,    *_UpperCamelCase    ,    **_UpperCamelCase					):
										return {"bar": bar, "foo": foo}

							with patch("dill.detect.globalvars"    ,    side_effect=_UpperCamelCase					) as globalvars_mocka:
										lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
										self.assertGreater(globalvars_mocka.call_count    ,    0					)
							with patch("dill.detect.globalvars"    ,    side_effect=_UpperCamelCase					) as globalvars_mocka:
										lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
										self.assertGreater(globalvars_mocka.call_count    ,    0					)
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)





class      _lowerCAmelCase (     __a	):




				def 					__a						( self					)    ->				Union[str, Any]:
							lowerCAmelCase_      =     Hasher.hash("hello"					)
							lowerCAmelCase_      =     Hasher.hash("hello"					)
							lowerCAmelCase_      =     Hasher.hash("there"					)
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				def 					__a						( self					)    ->				int:
							lowerCAmelCase_      =     Hasher.hash(Foo("hello"					)					)
							lowerCAmelCase_      =     Hasher.hash(Foo("hello"					)					)
							lowerCAmelCase_      =     Hasher.hash(Foo("there"					)					)
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				def 					__a						( self					)    ->				Union[str, Any]:
							lowerCAmelCase_      =     Hasher()
							for x in ["hello", Foo("hello"					)]:
										hasher.update(_UpperCamelCase					)
							lowerCAmelCase_      =     hasher.hexdigest()
							lowerCAmelCase_      =     Hasher()
							for x in ["hello", Foo("hello"					)]:
										hasher.update(_UpperCamelCase					)
							lowerCAmelCase_      =     hasher.hexdigest()
							lowerCAmelCase_      =     Hasher()
							for x in ["there", Foo("there"					)]:
										hasher.update(_UpperCamelCase					)
							lowerCAmelCase_      =     hasher.hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				def 					__a						( self					)    ->				Dict:
							with self.assertRaises(pickle.PicklingError					):
										Hasher.hash(UnpicklableCallable(Foo("hello"					)					)					)




				def 					__a						( self					)    ->				List[Any]:
							lowerCAmelCase_      =     "abc"
							lowerCAmelCase_      =     [string, string]  # two strings have the same ids
							lowerCAmelCase_      =     [string, string]
							lowerCAmelCase_      =     json.loads(f"""[\"{string}\", \"{string}\"]"""					)  # two strings have different ids
							self.assertIs(obja[0]    ,    _UpperCamelCase					)
							self.assertIs(obja[0]    ,    obja[1]					)
							self.assertIs(obja[0]    ,    _UpperCamelCase					)
							self.assertIs(obja[0]    ,    obja[1]					)
							self.assertIsNot(obja[0]    ,    _UpperCamelCase					)
							self.assertIsNot(obja[0]    ,    obja[1]					)
							lowerCAmelCase_      =     Hasher.hash(_UpperCamelCase					)
							lowerCAmelCase_      =     Hasher.hash(_UpperCamelCase					)
							lowerCAmelCase_      =     Hasher.hash(_UpperCamelCase					)
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				@require_tiktoken
				def 					__a						( self					)    ->				int:
							import tiktoken

							lowerCAmelCase_      =     tiktoken.get_encoding("gpt2"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     tiktoken.get_encoding("r50k_base"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     tiktoken.get_encoding("gpt2"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				@require_torch
				def 					__a						( self					)    ->				Any:
							import torch

							lowerCAmelCase_      =     torch.tensor([1.0]					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     torch.tensor([2.0]					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     torch.tensor([1.0]					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)




				@require_spacy
				@require_spacy_model("en_core_web_sm"					)
				@require_spacy_model("fr_core_news_sm"					)
				@pytest.mark.integration
				def 					__a						( self					)    ->				Dict:
							import spacy

							lowerCAmelCase_      =     spacy.load("en_core_web_sm"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     spacy.load("fr_core_news_sm"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							lowerCAmelCase_      =     spacy.load("en_core_web_sm"					)
							lowerCAmelCase_      =     mda(datasets.utils.py_utils.dumps(_UpperCamelCase					)					).hexdigest()
							self.assertEqual(_UpperCamelCase    ,    _UpperCamelCase					)
							self.assertNotEqual(_UpperCamelCase    ,    _UpperCamelCase					)






@pytest.mark.integration
def        lowerCamelCase__    (    __lowerCAmelCase  :  Path    ):




			"""simple docstring"""


			lowerCAmelCase_      =     tmp_path / "dir1"
			lowerCAmelCase_      =     tmp_path / "dir2"
			dira.mkdir()
			dira.mkdir()
			lowerCAmelCase_      =     "script.py"
			lowerCAmelCase_      =     dedent(
			    "\n    from datasets.fingerprint import Hasher\n    def foo():\n        pass\n    print(Hasher.hash(foo))\n    "    )
			lowerCAmelCase_      =     dira / script_filename
			lowerCAmelCase_      =     dira / script_filename
			with script_patha.open("w"    ) as f:
						f.write(__lowerCAmelCase    )
			with script_patha.open("w"    ) as f:
						f.write(__lowerCAmelCase    )
			lowerCAmelCase_      =     subprocess.check_output(["python", str(__lowerCAmelCase    )]    )
			lowerCAmelCase_      =     subprocess.check_output(["python", str(__lowerCAmelCase    )]    )
			assert fingerprinta == fingerprinta






def        lowerCamelCase__    (    ):




			"""simple docstring"""


			lowerCAmelCase_      =     {"a": [0, 1, 2]}
			lowerCAmelCase_      =     DatasetChild(InMemoryTable.from_pydict(__lowerCAmelCase    )    )
			lowerCAmelCase_      =     dataset.funca()._fingerprint
			assert expected_fingerprint == dataset.funca()._fingerprint
			assert expected_fingerprint != dataset.funca()._fingerprint

			with Pool(2    ) as p:
						assert expected_fingerprint == p.apply_async(dataset.funca    ).get()._fingerprint
						assert expected_fingerprint != p.apply_async(dataset.funca    ).get()._fingerprint






def        lowerCamelCase__    (    ):




			"""simple docstring"""


			lowerCAmelCase_      =     {"a": [0, 1, 2]}





			class      _lowerCAmelCase (     datasets.Dataset	):




							@fingerprint_transform(inplace=_UpperCamelCase					)
							def 					__a						( self    ,    _UpperCamelCase					)    ->				Tuple:
										return DummyDatasetChild(self.data    ,    fingerprint=_UpperCamelCase					)


			lowerCAmelCase_      =     DummyDatasetChild(InMemoryTable.from_pydict(__lowerCAmelCase    )    ).func()





			class      _lowerCAmelCase (     datasets.Dataset	):




							@fingerprint_transform(inplace=_UpperCamelCase    ,    version="1.0.0"					)
							def 					__a						( self    ,    _UpperCamelCase					)    ->				Any:
										return DummyDatasetChild(self.data    ,    fingerprint=_UpperCamelCase					)


			lowerCAmelCase_      =     DummyDatasetChild(InMemoryTable.from_pydict(__lowerCAmelCase    )    ).func()





			class      _lowerCAmelCase (     datasets.Dataset	):




							@fingerprint_transform(inplace=_UpperCamelCase    ,    version="2.0.0"					)
							def 					__a						( self    ,    _UpperCamelCase					)    ->				List[str]:
										return DummyDatasetChild(self.data    ,    fingerprint=_UpperCamelCase					)


			lowerCAmelCase_      =     DummyDatasetChild(InMemoryTable.from_pydict(__lowerCAmelCase    )    ).func()

			assert len({fingeprint_no_version, fingeprint_a, fingeprint_a}    ) == 3






def        lowerCamelCase__    (    ):




			"""simple docstring"""


			lowerCAmelCase_      =     Hasher()
			hasher.update(lambda __lowerCAmelCase    : x    )





# This Python program implements an optimal binary search tree (abbreviated BST)
# building dynamic programming algorithm that delivers O(n^2) performance.
#
# The goal of the optimal BST problem is to build a low-cost BST for a
# given set of nodes, each with its own key and frequency. The frequency
# of the node is defined as how many time the node is being searched.
# The search cost of binary search tree is given by this formula:
#
# cost(1, n) = sum{i = 1 to n}((depth(node_i) + 1) * node_i_freq)
#
# where n is number of nodes in the BST. The characteristic of low-cost
# BSTs is having a faster overall search time than other implementations.
# The reason for their fast search time is that the nodes with high
# frequencies will be placed near the root of the tree while the nodes
# with low frequencies will be placed near the leaves of the tree thus
# reducing search time in the most frequent instances.
import sys
from random import randint





class      _lowerCAmelCase :




				def __init__( self    ,    _UpperCamelCase    ,    _UpperCamelCase					)    ->				str:
							lowerCAmelCase_      =     key
							lowerCAmelCase_      =     freq




				def __str__( self					)    ->				Any:
							return f"""Node(key={self.key}, freq={self.freq})"""






def        lowerCamelCase__    (    __lowerCAmelCase  :  Optional[int]   ,							__lowerCAmelCase  :  Dict   ,							__lowerCAmelCase  :  Optional[Any]   ,							__lowerCAmelCase  :  Optional[int]   ,							__lowerCAmelCase  :  int   ,							__lowerCAmelCase  :  List[Any]    ):




			"""simple docstring"""


			if i > j or i < 0 or j > len(__lowerCAmelCase    ) - 1:
						return

			lowerCAmelCase_      =     root[i][j]
			if parent == -1:  # root does not have a parent
						print(F"""{key[node]} is the root of the binary search tree."""    )
			elif is_left:
						print(F"""{key[node]} is the left child of key {parent}."""    )
			else:
						print(F"""{key[node]} is the right child of key {parent}."""    )

			print_binary_search_tree(__lowerCAmelCase   ,							__lowerCAmelCase   ,							__lowerCAmelCase   ,							node - 1   ,							key[node]   ,							__lowerCAmelCase    )
			print_binary_search_tree(__lowerCAmelCase   ,							__lowerCAmelCase   ,							node + 1   ,							__lowerCAmelCase   ,							key[node]   ,							__lowerCAmelCase    )






def        lowerCamelCase__    (    __lowerCAmelCase  :  Union[str, Any]    ):




			"""simple docstring"""


			nodes.sort(key=lambda __lowerCAmelCase    : node.key    )

			lowerCAmelCase_      =     len(__lowerCAmelCase    )

			lowerCAmelCase_      =     [nodes[i].key for i in range(__lowerCAmelCase    )]
			lowerCAmelCase_      =     [nodes[i].freq for i in range(__lowerCAmelCase    )]

			# This 2D array stores the overall tree cost (which's as minimized as possible);
			# for a single key, cost is equal to frequency of the key.
			lowerCAmelCase_      =     [[freqs[i] if i == j else 0 for j in range(__lowerCAmelCase    )] for i in range(__lowerCAmelCase    )]
			# sum[i][j] stores the sum of key frequencies between i and j inclusive in nodes
			# array
			lowerCAmelCase_      =     [[freqs[i] if i == j else 0 for j in range(__lowerCAmelCase    )] for i in range(__lowerCAmelCase    )]
			# stores tree roots that will be used later for constructing binary search tree
			lowerCAmelCase_      =     [[i if i == j else 0 for j in range(__lowerCAmelCase    )] for i in range(__lowerCAmelCase    )]

			for interval_length in range(2   ,							n + 1    ):
						for i in range(n - interval_length + 1    ):
									lowerCAmelCase_      =     i + interval_length - 1

									lowerCAmelCase_      =     sys.maxsize  # set the value to "infinity"
									lowerCAmelCase_      =     total[i][j - 1] + freqs[j]

									# Apply Knuth's optimization
									# Loop without optimization: for r in range(i, j + 1):
									for r in range(root[i][j - 1]   ,							root[i + 1][j] + 1    ):  # r is a temporal root
												lowerCAmelCase_      =     dp[i][r - 1] if r != i else 0  # optimal cost for left subtree
												lowerCAmelCase_      =     dp[r + 1][j] if r != j else 0  # optimal cost for right subtree
												lowerCAmelCase_      =     left + total[i][j] + right

												if dp[i][j] > cost:
															lowerCAmelCase_      =     cost
															lowerCAmelCase_      =     r

			print("Binary search tree nodes:"    )
			for node in nodes:
						print(__lowerCAmelCase    )

			print(F"""\nThe cost of optimal BST for given tree nodes is {dp[0][n - 1]}."""    )
			print_binary_search_tree(__lowerCAmelCase   ,							__lowerCAmelCase   ,							0   ,							n - 1   ,							-1   ,							__lowerCAmelCase    )






def        lowerCamelCase__    (    ):




			"""simple docstring"""


			lowerCAmelCase_      =     [Node(__lowerCAmelCase   ,							randint(1   ,							50    )    ) for i in range(10   ,							0   ,							-1    )]
			find_optimal_binary_search_tree(__lowerCAmelCase    )


if __name__ == "__main__":
			main()



