





# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


UpperCAmelCase_      							=						{
    """configuration_mgp_str""": ["""MGP_STR_PRETRAINED_CONFIG_ARCHIVE_MAP""", """MgpstrConfig"""],
    """processing_mgp_str""": ["""MgpstrProcessor"""],
    """tokenization_mgp_str""": ["""MgpstrTokenizer"""],
}

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					UpperCAmelCase_      							=						[
					    """MGP_STR_PRETRAINED_MODEL_ARCHIVE_LIST""",
					    """MgpstrModel""",
					    """MgpstrPreTrainedModel""",
					    """MgpstrForSceneTextRecognition""",
					]

if TYPE_CHECKING:
					from .configuration_mgp_str import MGP_STR_PRETRAINED_CONFIG_ARCHIVE_MAP, MgpstrConfig
					from .processing_mgp_str import MgpstrProcessor
					from .tokenization_mgp_str import MgpstrTokenizer

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_mgp_str import (
										    MGP_STR_PRETRAINED_MODEL_ARCHIVE_LIST,
										    MgpstrForSceneTextRecognition,
										    MgpstrModel,
										    MgpstrPreTrainedModel,
										)
else:
					import sys

					UpperCAmelCase_      							=						_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)










UpperCAmelCase_      							=     range(2, 20 + 1)
UpperCAmelCase_      							=     [10**k for k in range(ks[-1] + 1)]
UpperCAmelCase_      							=     {}





def 						lowerCamelCase__     (     UpperCamelCase__			:       Optional[Any]       ,    UpperCamelCase__			:       List[Any]       ,    UpperCamelCase__			:       Union[str, Any]       ,    UpperCamelCase__			:       str						)			-> List[str]:



					'''simple docstring'''




					_snake_case									=				sum(a_i[j] for j in range(UpperCamelCase__       ,    len(UpperCamelCase__						)						)						)
					_snake_case									=				sum(a_i[j] * base[j] for j in range(min(len(UpperCamelCase__						)       ,    UpperCamelCase__						)						)						)

					_snake_case							,     _snake_case									=				0, 0
					_snake_case									=				n - i

					_snake_case									=				memo.get(UpperCamelCase__						)

					if sub_memo is not None:
										_snake_case									=				sub_memo.get(UpperCamelCase__						)

										if jumps is not None and len(UpperCamelCase__						) > 0:
															# find and make the largest jump without going over
															_snake_case									=				-1
															for _k in range(len(UpperCamelCase__						) - 1       ,    -1       ,    -1						):
																				if jumps[_k][2] <= k and jumps[_k][1] <= max_dn:
																									_snake_case									=				_k
																									break

															if max_jump >= 0:
																				_snake_case							,     _snake_case							,     _snake_case									=				jumps[max_jump]
																				# since the difference between jumps is cached, add c
																				_snake_case									=				diff + c
																				for j in range(min(UpperCamelCase__       ,    len(UpperCamelCase__						)						)						):
																									_snake_case							,     _snake_case									=				divmod(UpperCamelCase__       ,    10						)
																				if new_c > 0:
																									add(UpperCamelCase__       ,    UpperCamelCase__       ,    UpperCamelCase__						)

										else:
															_snake_case									=				[]
					else:
										_snake_case									=				{c: []}
										_snake_case									=				sub_memo

					if dn >= max_dn or c + diff >= base[k]:
										return diff, dn

					if k > ks[0]:
										while True:
															# keep doing smaller jumps
															_snake_case							,     _snake_case									=				next_term(UpperCamelCase__       ,    k - 1       ,    i + dn       ,    UpperCamelCase__						)
															diff += _diff
															dn += terms_jumped

															if dn >= max_dn or c + diff >= base[k]:
																				break
					else:
										# would be too small a jump, just compute sequential terms instead
										_snake_case							,     _snake_case									=				compute(UpperCamelCase__       ,    UpperCamelCase__       ,    i + dn       ,    UpperCamelCase__						)
										diff += _diff
										dn += terms_jumped

					_snake_case									=				sub_memo[c]

					# keep jumps sorted by # of terms skipped
					_snake_case									=				0
					while j < len(UpperCamelCase__						):
										if jumps[j][1] > dn:
															break
										j += 1

					# cache the jump for this value digitsum(b) and c
					sub_memo[c].insert(UpperCamelCase__       ,    (diff, dn, k)						)
					return (diff, dn)





def 						lowerCamelCase__     (     UpperCamelCase__			:       str       ,    UpperCamelCase__			:       str       ,    UpperCamelCase__			:       List[str]       ,    UpperCamelCase__			:       Union[str, Any]						)			-> Optional[Any]:



					'''simple docstring'''




					if i >= n:
										return 0, i
					if k > len(UpperCamelCase__						):
										a_i.extend([0 for _ in range(k - len(UpperCamelCase__						)						)]						)

					# note: a_i -> b * 10^k + c
					# ds_b -> digitsum(b)
					# ds_c -> digitsum(c)
					_snake_case									=				i
					_snake_case							,     _snake_case							,     _snake_case									=				0, 0, 0
					for j in range(len(UpperCamelCase__						)						):
										if j >= k:
															ds_b += a_i[j]
										else:
															ds_c += a_i[j]

					while i < n:
										i += 1
										_snake_case									=				ds_c + ds_b
										diff += addend
										_snake_case									=				0
										for j in range(UpperCamelCase__						):
															_snake_case									=				a_i[j] + addend
															_snake_case							,     _snake_case									=				divmod(UpperCamelCase__       ,    10						)

															ds_c += a_i[j]

										if addend > 0:
															break

					if addend > 0:
										add(UpperCamelCase__       ,    UpperCamelCase__       ,    UpperCamelCase__						)
					return diff, i - start_i





def 						lowerCamelCase__     (     UpperCamelCase__			:       Any       ,    UpperCamelCase__			:       Union[str, Any]       ,    UpperCamelCase__			:       Optional[Any]						)			-> Any:



					'''simple docstring'''




					for j in range(UpperCamelCase__       ,    len(UpperCamelCase__						)						):
										_snake_case									=				digits[j] + addend
										if s >= 10:
															_snake_case							,     _snake_case									=				divmod(UpperCamelCase__       ,    10						)
															_snake_case									=				addend // 10 + quotient
										else:
															_snake_case									=				s
															_snake_case									=				addend // 10

										if addend == 0:
															break

					while addend > 0:
										_snake_case							,     _snake_case									=				divmod(UpperCamelCase__       ,    10						)
										digits.append(UpperCamelCase__						)





def 						lowerCamelCase__     (     UpperCamelCase__			:       int = 10**15						)			-> int:



					'''simple docstring'''




					_snake_case									=				[1]
					_snake_case									=				1
					_snake_case									=				0
					while True:
										_snake_case							,     _snake_case									=				next_term(UpperCamelCase__       ,    20       ,    i + dn       ,    UpperCamelCase__						)
										dn += terms_jumped
										if dn == n - i:
															break

					_snake_case									=				0
					for j in range(len(UpperCamelCase__						)						):
										a_n += digits[j] * 10**j
					return a_n


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



