



"""simple docstring"""
import re

from flax.core.frozen_dict import freeze
from flax.traverse_util import flatten_dict, unflatten_dict
from jax.experimental import PartitionSpec as P


# Sentinels
UpperCAmelCase						:		Any			= object()

# For specifying empty leaf dict `{}`
UpperCAmelCase						:		Any			= object()


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase							) ->						Union[str, Any]:







  '''simple docstring'''


  lowercase_								= tuple((re.compile(x + """$"""							) for x in qs)							)
  for i in range(len(__lowerCAmelCase							) - len(__lowerCAmelCase							) + 1							):
    lowercase_								= [x.match(__lowerCAmelCase							) for x, y in zip(__lowerCAmelCase ,  ks[i:]							)]
    if matches and all(__lowerCAmelCase							):
      return True
  return False


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							) ->						List[str]:







  '''simple docstring'''


  def replace(__lowerCAmelCase ,  __lowerCAmelCase							):
    for rule, replacement in rules:
      if _match(__lowerCAmelCase ,  __lowerCAmelCase							):
        return replacement
    return val

  return replace


def 			_SCREAMING_SNAKE_CASE						() ->						Union[str, Any]:







  '''simple docstring'''


  return [
      # embeddings
      (("transformer", "wpe", "embedding"), P("""mp""" ,  __lowerCAmelCase							)),
      (("transformer", "wte", "embedding"), P("""mp""" ,  __lowerCAmelCase							)),
      # atention
      (("attention", "(q_proj|k_proj|v_proj)", "kernel"), P(__lowerCAmelCase ,  """mp"""							)),
      (("attention", "out_proj", "kernel"), P("""mp""" ,  __lowerCAmelCase							)),
      (("attention", "out_proj", "bias"), None),
      # mlp
      (("mlp", "c_fc", "kernel"), P(__lowerCAmelCase ,  """mp"""							)),
      (("mlp", "c_fc", "bias"), P("""mp"""							)),
      (("mlp", "c_proj", "kernel"), P("""mp""" ,  __lowerCAmelCase							)),
      (("mlp", "c_proj", "bias"), None),
      # layer norms
      ((r"ln_\d+", "bias"), None),
      ((r"\d+", r"ln_\d+", "scale"), None),
      (("ln_f", "bias"), None),
      (("ln_f", "scale"), None),
  ]


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							) ->						Any:







  '''simple docstring'''


  lowercase_								= _get_partition_rules()
  lowercase_								= _replacement_rules(__lowerCAmelCase							)
  lowercase_								= {k: _unmatched for k in flatten_dict(__lowerCAmelCase							)}
  lowercase_								= {k: replace(__lowerCAmelCase ,  __lowerCAmelCase							) for k, v in initd.items()}
  assert _unmatched not in result.values(), "Incomplete partition spec."
  return freeze(unflatten_dict(__lowerCAmelCase							)							)






"""simple docstring"""
from __future__ import annotations

import math
from collections import Counter
from string import ascii_lowercase


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							) ->						None:







  '''simple docstring'''


  lowercase_					,    lowercase_								= analyze_text(__lowerCAmelCase							)
  lowercase_								= list(""" """ + ascii_lowercase							)
  # what is our total sum of probabilities.
  lowercase_								= sum(single_char_strings.values()							)

  # one length string
  lowercase_								= 0
  # for each alpha we go in our dict and if it is in it we calculate entropy
  for ch in my_alphas:
    if ch in single_char_strings:
      lowercase_								= single_char_strings[ch]
      lowercase_								= my_str / all_sum
      my_fir_sum += prob * math.loga(__lowerCAmelCase							)  # entropy formula.

    # print entropy
  print(F'''{round(-1 * my_fir_sum							):.1f}'''							)

  # two len string
  lowercase_								= sum(two_char_strings.values()							)
  lowercase_								= 0
  # for each alpha (two in size) calculate entropy.
  for cha in my_alphas:
    for cha in my_alphas:
      lowercase_								= cha + cha
      if sequence in two_char_strings:
        lowercase_								= two_char_strings[sequence]
        lowercase_								= int(__lowerCAmelCase							) / all_sum
        my_sec_sum += prob * math.loga(__lowerCAmelCase							)

    # print second entropy
  print(F'''{round(-1 * my_sec_sum							):.1f}'''							)

  # print the difference between them
  print(F'''{round((-1 * my_sec_sum) - (-1 * my_fir_sum)							):.1f}'''							)


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							) ->						tuple[dict, dict]:







  '''simple docstring'''


  lowercase_								= Counter()  # type: ignore
  lowercase_								= Counter()  # type: ignore
  single_char_strings[text[-1]] += 1

  # first case when we have space at start.
  two_char_strings[" " + text[0]] += 1
  for i in range(0 ,  len(__lowerCAmelCase							) - 1							):
    single_char_strings[text[i]] += 1
    two_char_strings[text[i : i + 2]] += 1
  return single_char_strings, two_char_strings


def 			_SCREAMING_SNAKE_CASE						() ->						str:







  '''simple docstring'''


  import doctest

  doctest.testmod()
  # text = (
  #     "Had repulsive dashwoods suspicion sincerity but advantage now him. Remark "
  #     "easily garret nor nay. Civil those mrs enjoy shy fat merry. You greatest "
  #     "jointure saw horrible. He private he on be imagine suppose. Fertile "
  #     "beloved evident through no service elderly is. Blind there if every no so "
  #     "at. Own neglected you preferred way sincerity delivered his attempted. To "
  #     "of message cottage windows do besides against uncivil.  Delightful "
  #     "unreserved impossible few estimating men favourable see entreaties. She "
  #     "propriety immediate was improving. He or entrance humoured likewise "
  #     "moderate. Much nor game son say feel. Fat make met can must form into "
  #     "gate. Me we offending prevailed discovery. "
  # )

  # calculate_prob(text)


if __name__ == "__main__":
       main()

