'''simple docstring'''





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_							(   snake_case_			:					List[Any]     )       -> int:


     '''simple docstring'''




     UpperCAmelCase_			       =  int(snake_case_     )
     UpperCAmelCase_       ,					UpperCAmelCase_       ,					UpperCAmelCase_			       =  t // 36_00, (t // 60) % 60, t % 60
     return f"""{h}:{m:02d}:{s:02d}""" if h != 0 else f"""{m:02d}:{s:02d}"""





def       lowerCAmelCase_							(   snake_case_			:					Tuple   ,       snake_case_			:					Dict   ,       snake_case_			:					Optional[Any]   ,       snake_case_			:					Optional[Any]   ,       snake_case_			:					int=3_00     )       -> str:


     '''simple docstring'''




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





def       lowerCAmelCase_							(   snake_case_			:					List[str]     )       -> Optional[Any]:


     '''simple docstring'''




     UpperCAmelCase_			       =  "<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:
               UpperCAmelCase_			       =  f"""{elt:.6f}""" if isinstance(snake_case_   ,       snake_case_     ) else str(snake_case_     )
               html_code += f"""      <td>{elt}</td>\n"""
          html_code += "    </tr>\n"
     html_code += "  </tbody>\n</table><p>"
     return html_code




class 			__A :
    a__			:		Dict			  =    5
    a__			:		Any			  =    0.2



    def __init__(self       :       Optional[Any]  ,     __a       :       int  ,     __a       :       Optional[str] = None  ,     __a       :       bool = True  ,     __a       :       Optional["NotebookTrainingTracker"] = None  ,     __a       :       int = 300  ,     ):
         UpperCAmelCase_			       =  total
         UpperCAmelCase_			       =  "" if prefix is None else prefix
         UpperCAmelCase_			       =  leave
         UpperCAmelCase_			       =  parent
         UpperCAmelCase_			       =  width
         UpperCAmelCase_			       =  None
         UpperCAmelCase_			       =  None
         UpperCAmelCase_			       =  None



    def    _lowercase		(self       :       str  ,     __a       :       int  ,     __a       :       bool = False  ,     __a       :       str = None					):
         UpperCAmelCase_			       =  value
         if comment is not None:
              UpperCAmelCase_			       =  comment
         if self.last_value is None:
              UpperCAmelCase_			       =  UpperCAmelCase_			       =  time.time()
              UpperCAmelCase_			       =  UpperCAmelCase_			       =  value
              UpperCAmelCase_			       =  UpperCAmelCase_			       =  None
              UpperCAmelCase_			       =  self.warmup
              UpperCAmelCase_			       =  1
              self.update_bar(__a					)
         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
              UpperCAmelCase_			       =  time.time()
              UpperCAmelCase_			       =  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:
                   UpperCAmelCase_			       =  self.elapsed_time / (value - self.start_value)
              else:
                   UpperCAmelCase_			       =  None
              if value >= self.total:
                   UpperCAmelCase_			       =  self.total
                   UpperCAmelCase_			       =  None
                   if not self.leave:
                        self.close()
              elif self.average_time_per_item is not None:
                   UpperCAmelCase_			       =  self.average_time_per_item * (self.total - value)
              self.update_bar(__a					)
              UpperCAmelCase_			       =  value
              UpperCAmelCase_			       =  current_time
              if self.average_time_per_item is None:
                   UpperCAmelCase_			       =  1
              else:
                   UpperCAmelCase_			       =  max(int(self.update_every / self.average_time_per_item					)  ,     1					)



    def    _lowercase		(self       :       Optional[int]  ,     __a       :       Tuple  ,     __a       :       List[Any]=None					):
         UpperCAmelCase_			       =  " " * (len(str(self.total					)					) - len(str(__a					)					)) + str(__a					)
         if self.elapsed_time is None:
              UpperCAmelCase_			       =  f"""[{spaced_value}/{self.total} : < :"""
         elif self.predicted_remaining is None:
              UpperCAmelCase_			       =  f"""[{spaced_value}/{self.total} {format_time(self.elapsed_time					)}"""
         else:
              UpperCAmelCase_			       =  (
                  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    _lowercase		(self       :       Dict					):
         UpperCAmelCase_			       =  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:
              UpperCAmelCase_			       =  disp.display(disp.HTML(self.html_code					)  ,     display_id=__a					)
         else:
              self.output.update(disp.HTML(self.html_code					)					)






    def    _lowercase		(self       :       Optional[Any]					):
         if self.parent is None and self.output is not None:
              self.output.update(disp.HTML(""					)					)




class 			__A (					UpperCamelCase__      ):



    def __init__(self       :       List[Any]  ,     __a       :       List[Any]  ,     __a       :       Dict=None					):
         super().__init__(__a					)
         UpperCAmelCase_			       =  None if column_names is None else [column_names]
         UpperCAmelCase_			       =  None



    def    _lowercase		(self       :       str					):
         UpperCAmelCase_			       =  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:
              UpperCAmelCase_			       =  disp.display(disp.HTML(self.html_code					)  ,     display_id=__a					)
         else:
              self.output.update(disp.HTML(self.html_code					)					)



    def    _lowercase		(self       :       List[str]  ,     __a       :       Union[str, Any]					):
         if self.inner_table is None:
              UpperCAmelCase_			       =  [list(values.keys()					), list(values.values()					)]
         else:
              UpperCAmelCase_			       =  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(__a					)
                   UpperCAmelCase_			       =  columns
              self.inner_table.append([values[c] for c in columns]					)



    def    _lowercase		(self       :       Dict  ,     __a       :       Optional[int]  ,     __a       :       int=None  ,     __a       :       int=300					):
         UpperCAmelCase_			       =  NotebookProgressBar(__a  ,     prefix=__a  ,     parent=self  ,     width=__a					)
         return self.child_bar






    def    _lowercase		(self       :       Dict					):
         UpperCAmelCase_			       =  None
         self.display()




class 			__A (					UpperCamelCase__      ):



    def __init__(self       :       Dict					):
         UpperCAmelCase_			       =  None
         UpperCAmelCase_			       =  None
         UpperCAmelCase_			       =  False



    def    _lowercase		(self       :       int  ,     __a       :       Optional[Any]  ,     __a       :       Any  ,     __a       :       List[str]  ,     **__a       :       Union[str, Any]					):
         UpperCAmelCase_			       =  "Epoch" if args.evaluation_strategy == IntervalStrategy.EPOCH else "Step"
         UpperCAmelCase_			       =  0
         UpperCAmelCase_			       =  0
         UpperCAmelCase_			       =  [self.first_column] + ["Training Loss"]
         if args.evaluation_strategy != IntervalStrategy.NO:
              column_names.append("Validation Loss"					)
         UpperCAmelCase_			       =  NotebookTrainingTracker(state.max_steps  ,     __a					)



    def    _lowercase		(self       :       Union[str, Any]  ,     __a       :       str  ,     __a       :       Dict  ,     __a       :       Dict  ,     **__a       :       List[Any]					):
         UpperCAmelCase_			       =  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  ,     )
         UpperCAmelCase_			       =  False



    def    _lowercase		(self       :       List[Any]  ,     __a       :       str  ,     __a       :       Optional[Any]  ,     __a       :       Optional[int]  ,     __a       :       Tuple=None  ,     **__a       :       List[str]					):
         if not has_length(__a					):
              return
         if self.prediction_bar is None:
              if self.training_tracker is not None:
                   UpperCAmelCase_			       =  self.training_tracker.add_child(len(__a					)					)
              else:
                   UpperCAmelCase_			       =  NotebookProgressBar(len(__a					)					)
              self.prediction_bar.update(1					)
         else:
              self.prediction_bar.update(self.prediction_bar.value + 1					)



    def    _lowercase		(self       :       int  ,     __a       :       List[str]  ,     __a       :       Union[str, Any]  ,     __a       :       Optional[int]  ,     **__a       :       Tuple					):
         if self.prediction_bar is not None:
              self.prediction_bar.close()
         UpperCAmelCase_			       =  None



    def    _lowercase		(self       :       Union[str, Any]  ,     __a       :       Optional[int]  ,     __a       :       Any  ,     __a       :       List[Any]  ,     __a       :       Tuple=None  ,     **__a       :       List[Any]					):
         # Only for when there is no evaluation
         if args.evaluation_strategy == IntervalStrategy.NO and "loss" in logs:
              UpperCAmelCase_			       =  {"Training Loss": logs["loss"]}
              # First column is necessarily Step sine we're not in epoch eval strategy
              UpperCAmelCase_			       =  state.global_step
              self.training_tracker.write_line(__a					)



    def    _lowercase		(self       :       Optional[int]  ,     __a       :       str  ,     __a       :       Tuple  ,     __a       :       Optional[int]  ,     __a       :       Union[str, Any]=None  ,     **__a       :       List[Any]					):
         if self.training_tracker is not None:
              UpperCAmelCase_			       =  {"Training Loss": "No log", "Validation Loss": "No log"}
              for log in reversed(state.log_history					):
                   if "loss" in log:
                        UpperCAmelCase_			       =  log["loss"]
                        break

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






    def    _lowercase		(self       :       Dict  ,     __a       :       Dict  ,     __a       :       Any  ,     __a       :       Optional[Any]  ,     **__a       :       Union[str, Any]					):
         self.training_tracker.update(
             state.global_step  ,     comment=f"""Epoch {int(state.epoch					)}/{state.num_train_epochs}"""  ,     force_update=__a					)
         UpperCAmelCase_			       =  None









import itertools
import math

def 	SCREAMING_SNAKE_CASE_							(	_snake_case	:int				)  ->     bool:

   if 1 < number < 4:
      # 2 and 3 are primes
      return True
   elif number < 2 or number % 2 == 0 or number % 3 == 0:
      # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
      return False

   # All primes number are in format of 6k +/- 1
   for i in range(5	,   int(math.sqrt(_snake_case				) + 1				)	,   6				):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True

def 	SCREAMING_SNAKE_CASE_							(	)  ->     Dict:
   _A      =       2
   while True:
      if is_prime(_snake_case				):
         yield num
      num += 1

def 	SCREAMING_SNAKE_CASE_							(	_snake_case	:int = 10_001				)  ->     int:
   return next(itertools.islice(prime_generator()	,   nth - 1	,   _snake_case				)				)


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



