

import re
import time
from typing import Optional

import IPython.display as disp

from ..trainer_callback import TrainerCallback
from ..trainer_utils import IntervalStrategy, has_length

def 		lowerCamelCase__		(					_lowerCamelCase   ):

    '''simple docstring'''



    _lowerCAmelCase       :   Any  =    int(a_   )
    _lowerCAmelCase       :   Optional[int]  =    t // 3600, (t // 60) % 60, t % 60
    return f"""{h}:{m:02d}:{s:02d}""" if h != 0 else f"""{m:02d}:{s:02d}"""

def 		lowerCamelCase__		(					_lowerCamelCase ,   _lowerCamelCase ,   _lowerCamelCase ,   _lowerCamelCase ,   _lowerCamelCase=300   ):

    '''simple docstring'''



    return f"""\n    <div>\n      {prefix}\n      <progress value='{value}' max='{total}' style='width:{width}px; height:20px; vertical-align: middle;'></progress>\n      {label}\n    </div>\n    """

def 		lowerCamelCase__		(					_lowerCamelCase   ):

    '''simple docstring'''



    _lowerCAmelCase       :   int  =    '''<table border="1" class="dataframe">\n'''
    html_code += """  <thead>\n <tr style="text-align: left;">\n"""
    for i in items[0]:
        html_code += f"""      <th>{i}</th>\n"""
    html_code += "    </tr>\n  </thead>\n  <tbody>\n"
    for line in items[1:]:
        html_code += "    <tr>\n"
        for elt in line:
            _lowerCAmelCase       :   List[str]  =    f"""{elt:.6f}""" if isinstance(a_ ,   a_   ) else str(a_   )
            html_code += f"""      <td>{elt}</td>\n"""
        html_code += "    </tr>\n"
    html_code += "  </tbody>\n</table><p>"
    return html_code







class 	__UpperCamelCase    :
  _UpperCAmelCase          =		5
  _UpperCAmelCase          =		0.2

  def __init__(		self    ,_A    ,_A = None    ,_A = True    ,_A = None    ,_A = 300    ,):
      '''simple docstring'''

      _lowerCAmelCase       :   Dict  =    total
      _lowerCAmelCase       :   Tuple  =    '''''' if prefix is None else prefix
      _lowerCAmelCase       :   Tuple  =    leave
      _lowerCAmelCase       :   List[Any]  =    parent
      _lowerCAmelCase       :   int  =    width
      _lowerCAmelCase       :   Optional[Any]  =    None
      _lowerCAmelCase       :   str  =    None
      _lowerCAmelCase       :   List[Any]  =    None

  def __lowerCamelCase		(		self    ,_A    ,_A = False    ,_A = None      ):
      '''simple docstring'''

      _lowerCAmelCase       :   Tuple  =    value
      if comment is not None:
          _lowerCAmelCase       :   int  =    comment
      if self.last_value is None:
          _lowerCAmelCase       :   Dict  =    time.time()
          _lowerCAmelCase       :   List[str]  =    value
          _lowerCAmelCase       :   Dict  =    None
          _lowerCAmelCase       :   Tuple  =    self.warmup
          _lowerCAmelCase       :   Dict  =    1
          self.update_bar(__snake_case      )
      elif value <= self.last_value and not force_update:
          return
      elif force_update or self.first_calls > 0 or value >= min(self.last_value + self.wait_for    ,self.total      ):
          if self.first_calls > 0:
              self.first_calls -= 1
          _lowerCAmelCase       :   Dict  =    time.time()
          _lowerCAmelCase       :   int  =    current_time - self.start_time
          # We could have value = self.start_value if the update is called twixe with the same start value.
          if value > self.start_value:
              _lowerCAmelCase       :   Optional[int]  =    self.elapsed_time / (value - self.start_value)
          else:
              _lowerCAmelCase       :   Optional[int]  =    None
          if value >= self.total:
              _lowerCAmelCase       :   List[str]  =    self.total
              _lowerCAmelCase       :   List[str]  =    None
              if not self.leave:
                  self.close()
          elif self.average_time_per_item is not None:
              _lowerCAmelCase       :   List[str]  =    self.average_time_per_item * (self.total - value)
          self.update_bar(__snake_case      )
          _lowerCAmelCase       :   Optional[Any]  =    value
          _lowerCAmelCase       :   Tuple  =    current_time
          if self.average_time_per_item is None:
              _lowerCAmelCase       :   Optional[int]  =    1
          else:
              _lowerCAmelCase       :   Union[str, Any]  =    max(int(self.update_every / self.average_time_per_item      )    ,1      )

  def __lowerCamelCase		(		self    ,_A    ,_A=None      ):
      '''simple docstring'''

      _lowerCAmelCase       :   List[Any]  =    ''' ''' * (len(str(self.total      )      ) - len(str(__snake_case      )      )) + str(__snake_case      )
      if self.elapsed_time is None:
          _lowerCAmelCase       :   str  =    F"""[{spaced_value}/{self.total} : < :"""
      elif self.predicted_remaining is None:
          _lowerCAmelCase       :   Optional[Any]  =    F"""[{spaced_value}/{self.total} {format_time(self.elapsed_time      )}"""
      else:
          _lowerCAmelCase       :   str  =    (
              F"""[{spaced_value}/{self.total} {format_time(self.elapsed_time      )} <"""
              F""" {format_time(self.predicted_remaining      )}"""
          )
          self.label += F""", {1/self.average_time_per_item:.2f} it/s"""
      self.label += "]" if self.comment is None or len(self.comment      ) == 0 else F""", {self.comment}]"""
      self.display()

  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      _lowerCAmelCase       :   Dict  =    html_progress_bar(self.value    ,self.total    ,self.prefix    ,self.label    ,self.width      )
      if self.parent is not None:
          # If this is a child bar, the parent will take care of the display.
          self.parent.display()
          return
      if self.output is None:
          _lowerCAmelCase       :   Union[str, Any]  =    disp.display(disp.HTML(self.html_code      )    ,display_id=__snake_case      )
      else:
          self.output.update(disp.HTML(self.html_code      )      )







  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      if self.parent is None and self.output is not None:
          self.output.update(disp.HTML(''      )      )







class 	__UpperCamelCase    (    __SCREAMING_SNAKE_CASE						):

  def __init__(		self    ,_A    ,_A=None      ):
      '''simple docstring'''

      super().__init__(__snake_case      )
      _lowerCAmelCase       :   List[Any]  =    None if column_names is None else [column_names]
      _lowerCAmelCase       :   Optional[int]  =    None

  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      _lowerCAmelCase       :   int  =    html_progress_bar(self.value    ,self.total    ,self.prefix    ,self.label    ,self.width      )
      if self.inner_table is not None:
          self.html_code += text_to_html_table(self.inner_table      )
      if self.child_bar is not None:
          self.html_code += self.child_bar.html_code
      if self.output is None:
          _lowerCAmelCase       :   List[Any]  =    disp.display(disp.HTML(self.html_code      )    ,display_id=__snake_case      )
      else:
          self.output.update(disp.HTML(self.html_code      )      )

  def __lowerCamelCase		(		self    ,_A      ):
      '''simple docstring'''

      if self.inner_table is None:
          _lowerCAmelCase       :   Union[str, Any]  =    [list(values.keys()      ), list(values.values()      )]
      else:
          _lowerCAmelCase       :   Optional[int]  =    self.inner_table[0]
          if len(self.inner_table      ) == 1:
              # We give a chance to update the column names at the first iteration
              for key in values.keys():
                  if key not in columns:
                      columns.append(__snake_case      )
              _lowerCAmelCase       :   List[Any]  =    columns
          self.inner_table.append([values[c] for c in columns]      )

  def __lowerCamelCase		(		self    ,_A    ,_A=None    ,_A=300      ):
      '''simple docstring'''

      _lowerCAmelCase       :   Any  =    NotebookProgressBar(__snake_case    ,prefix=__snake_case    ,parent=self    ,width=__snake_case      )
      return self.child_bar







  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      _lowerCAmelCase       :   int  =    None
      self.display()







class 	__UpperCamelCase    (    __SCREAMING_SNAKE_CASE						):

  def __init__(		self      ):
      '''simple docstring'''

      _lowerCAmelCase       :   Optional[Any]  =    None
      _lowerCAmelCase       :   int  =    None
      _lowerCAmelCase       :   Optional[int]  =    False

  def __lowerCamelCase		(		self    ,_A    ,_A    ,_A    ,**_A      ):
      '''simple docstring'''

      _lowerCAmelCase       :   int  =    '''Epoch''' if args.evaluation_strategy == IntervalStrategy.EPOCH else '''Step'''
      _lowerCAmelCase       :   List[Any]  =    0
      _lowerCAmelCase       :   List[str]  =    0
      _lowerCAmelCase       :   Tuple  =    [self.first_column] + ['''Training Loss''']
      if args.evaluation_strategy != IntervalStrategy.NO:
          column_names.append('Validation Loss'      )
      _lowerCAmelCase       :   Optional[Any]  =    NotebookTrainingTracker(state.max_steps    ,__snake_case      )

  def __lowerCamelCase		(		self    ,_A    ,_A    ,_A    ,**_A      ):
      '''simple docstring'''

      _lowerCAmelCase       :   List[Any]  =    int(state.epoch      ) if int(state.epoch      ) == state.epoch else F"""{state.epoch:.2f}"""
      self.training_tracker.update(
          state.global_step + 1    ,comment=F"""Epoch {epoch}/{state.num_train_epochs}"""    ,force_update=self._force_next_update    ,)
      _lowerCAmelCase       :   Optional[int]  =    False

  def __lowerCamelCase		(		self    ,_A    ,_A    ,_A    ,_A=None    ,**_A      ):
      '''simple docstring'''

      if not has_length(__snake_case      ):
          return
      if self.prediction_bar is None:
          if self.training_tracker is not None:
              _lowerCAmelCase       :   List[str]  =    self.training_tracker.add_child(len(__snake_case      )      )
          else:
              _lowerCAmelCase       :   str  =    NotebookProgressBar(len(__snake_case      )      )
          self.prediction_bar.update(1      )
      else:
          self.prediction_bar.update(self.prediction_bar.value + 1      )

  def __lowerCamelCase		(		self    ,_A    ,_A    ,_A    ,**_A      ):
      '''simple docstring'''

      if self.prediction_bar is not None:
          self.prediction_bar.close()
      _lowerCAmelCase       :   List[str]  =    None

  def __lowerCamelCase		(		self    ,_A    ,_A    ,_A    ,_A=None    ,**_A      ):
      '''simple docstring'''

      if args.evaluation_strategy == IntervalStrategy.NO and "loss" in logs:
          _lowerCAmelCase       :   Tuple  =    {'''Training Loss''': logs['''loss''']}
          # First column is necessarily Step sine we're not in epoch eval strategy
          _lowerCAmelCase       :   Dict  =    state.global_step
          self.training_tracker.write_line(__snake_case      )

  def __lowerCamelCase		(		self    ,_A    ,_A    ,_A    ,_A=None    ,**_A      ):
      '''simple docstring'''

      if self.training_tracker is not None:
          _lowerCAmelCase       :   Optional[Any]  =    {'''Training Loss''': '''No log''', '''Validation Loss''': '''No log'''}
          for log in reversed(state.log_history      ):
              if "loss" in log:
                  _lowerCAmelCase       :   Any  =    log['''loss''']
                  break

          if self.first_column == "Epoch":
              _lowerCAmelCase       :   Tuple  =    int(state.epoch      )
          else:
              _lowerCAmelCase       :   Optional[int]  =    state.global_step
          _lowerCAmelCase       :   Tuple  =    '''eval'''
          for k in metrics:
              if k.endswith('_loss'      ):
                  _lowerCAmelCase       :   Union[str, Any]  =    re.sub(r'\_loss$'    ,''    ,__snake_case      )
          _lowerCAmelCase       :   List[Any]  =    metrics.pop('total_flos'    ,__snake_case      )
          _lowerCAmelCase       :   Union[str, Any]  =    metrics.pop('epoch'    ,__snake_case      )
          _lowerCAmelCase       :   List[Any]  =    metrics.pop(F"""{metric_key_prefix}_runtime"""    ,__snake_case      )
          _lowerCAmelCase       :   Dict  =    metrics.pop(F"""{metric_key_prefix}_samples_per_second"""    ,__snake_case      )
          _lowerCAmelCase       :   List[Any]  =    metrics.pop(F"""{metric_key_prefix}_steps_per_second"""    ,__snake_case      )
          _lowerCAmelCase       :   List[str]  =    metrics.pop(F"""{metric_key_prefix}_jit_compilation_time"""    ,__snake_case      )
          for k, v in metrics.items():
              if k == F"""{metric_key_prefix}_loss""":
                  _lowerCAmelCase       :   List[str]  =    v
              else:
                  _lowerCAmelCase       :   Any  =    k.split('_'      )
                  _lowerCAmelCase       :   Optional[Any]  =    ''' '''.join([part.capitalize() for part in splits[1:]]      )
                  _lowerCAmelCase       :   Union[str, Any]  =    v
          self.training_tracker.write_line(__snake_case      )
          self.training_tracker.remove_child()
          _lowerCAmelCase       :   Dict  =    None
          # Evaluation takes a long time so we should force the next update.
          _lowerCAmelCase       :   List[Any]  =    True







  def __lowerCamelCase		(		self    ,_A    ,_A    ,_A    ,**_A      ):
      '''simple docstring'''

      self.training_tracker.update(
          state.global_step    ,comment=F"""Epoch {int(state.epoch      )}/{state.num_train_epochs}"""    ,force_update=__snake_case      )
      _lowerCAmelCase       :   Any  =    None








"""simple docstring"""






from __future__ import annotations

from collections.abc import Callable

_lowerCAmelCase						=		list[list[float | int]]

def 		lowerCamelCase__		(					_lowerCamelCase ,   _lowerCamelCase   ):

    '''simple docstring'''



    _lowerCAmelCase       :   int  =    len(_lowerCamelCase   )
    _lowerCAmelCase       :   Matrix  =    [[0 for _ in range(size + 1   )] for _ in range(_lowerCamelCase   )]
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   float

    for row in range(_lowerCamelCase   ):
        for col in range(_lowerCamelCase   ):
            _lowerCAmelCase       :   Union[str, Any]  =    matrix[row][col]

        _lowerCAmelCase       :   Tuple  =    vector[row][0]

    _lowerCAmelCase       :   Dict  =    0
    _lowerCAmelCase       :   Any  =    0
    while row < size and col < size:
        # pivoting
        _lowerCAmelCase       :   Optional[int]  =    max((abs(augmented[rowa][col]   ), rowa) for rowa in range(_lowerCamelCase ,   _lowerCamelCase   )   )[
            1
        ]
        if augmented[pivot_row][col] == 0:
            col += 1
            continue
        else:
            _lowerCAmelCase,					_lowerCAmelCase       :   Tuple  =    augmented[pivot_row], augmented[row]

        for rowa in range(row + 1 ,   _lowerCamelCase   ):
            _lowerCAmelCase       :   Dict  =    augmented[rowa][col] / augmented[row][col]
            _lowerCAmelCase       :   Optional[Any]  =    0
            for cola in range(col + 1 ,   size + 1   ):
                augmented[rowa][cola] -= augmented[row][cola] * ratio

        row += 1
        col += 1

    # back substitution
    for col in range(1 ,   _lowerCamelCase   ):
        for row in range(_lowerCamelCase   ):
            _lowerCAmelCase       :   int  =    augmented[row][col] / augmented[col][col]
            for cola in range(_lowerCamelCase ,   size + 1   ):
                augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
    return [
        [round(augmented[row][size] / augmented[row][row] ,   10   )] for row in range(_lowerCamelCase   )
    ]

def 		lowerCamelCase__		(					_lowerCamelCase   ):

    '''simple docstring'''



    _lowerCAmelCase       :   int  =    len(_lowerCamelCase   )
    _lowerCAmelCase       :   Matrix  =    [[0 for _ in range(_lowerCamelCase   )] for _ in range(_lowerCamelCase   )]
    _lowerCAmelCase       :   Matrix  =    [[0] for _ in range(_lowerCamelCase   )]
    _lowerCAmelCase       :   Matrix
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int

    for x_val, y_val in enumerate(_lowerCamelCase   ):
        for col in range(_lowerCamelCase   ):
            _lowerCAmelCase       :   Union[str, Any]  =    (x_val + 1) ** (size - col - 1)
        _lowerCAmelCase       :   Optional[int]  =    y_val

    _lowerCAmelCase       :   List[Any]  =    solve(_lowerCamelCase ,   _lowerCamelCase   )

    def interpolated_func(_lowerCamelCase   ) -> int:
        return sum(
            round(coeffs[x_val][0]   ) * (var ** (size - x_val - 1))
            for x_val in range(_lowerCamelCase   )   )

    return interpolated_func

def 		lowerCamelCase__		(					_lowerCamelCase   ):

    '''simple docstring'''



    return (
        1
        - variable
        + variable**2
        - variable**3
        + variable**4
        - variable**5
        + variable**6
        - variable**7
        + variable**8
        - variable**9
        + variable**10
    )

def 		lowerCamelCase__		(					_lowerCamelCase = question_function ,   _lowerCamelCase = 10   ):

    '''simple docstring'''



    _lowerCAmelCase       :   list[int]  =    [func(_lowerCamelCase   ) for x_val in range(1 ,   order + 1   )]

    _lowerCAmelCase       :   list[Callable[[int], int]]  =    [
        interpolate(data_points[:max_coeff]   ) for max_coeff in range(1 ,   order + 1   )
    ]

    _lowerCAmelCase       :   int  =    0
    _lowerCAmelCase       :   Callable[[int], int]
    _lowerCAmelCase       :   int

    for poly in polynomials:
        _lowerCAmelCase       :   Any  =    1
        while func(_lowerCamelCase   ) == poly(_lowerCamelCase   ):
            x_val += 1

        ret += poly(_lowerCamelCase   )

    return ret


if __name__ == "__main__":
 print(F'''{solution() = }''')





