diff --git a/.gitignore b/.gitignore index 4e467920e8bcde078b70436a7297f84669d54c9a..b8590175ec627a7a5ac34b117b814962e0037997 100644 --- a/.gitignore +++ b/.gitignore @@ -86,3 +86,4 @@ test.py *.egg-info pre-trained-models/ +venv \ No newline at end of file diff --git a/convlab2/base_models/gpt/create_data.py b/convlab2/base_models/gpt/create_data.py new file mode 100644 index 0000000000000000000000000000000000000000..dd616b590ce0d725a9ae393de4f180a3bfd6d097 --- /dev/null +++ b/convlab2/base_models/gpt/create_data.py @@ -0,0 +1,39 @@ +import os +import json +from tqdm import tqdm +import re +from convlab2.util import load_dataset + + +def create_lm_data(dataset, data_dir, args): + data_by_split = dataset + os.makedirs(data_dir, exist_ok=True) + + data_splits = data_by_split.keys() + for data_split in data_splits: + data = [] + for sample in tqdm(data_by_split[data_split], desc=f'{data_split} sample', leave=False): + if args.model_type == 'dialogpt': + dialogue = ' <|endoftext|> '.join([turn['utterance'] for turn in sample['turns']]) + ' <|endoftext|>' + else: + dialogue = '\n'.join([f"{turn['speaker']}: {turn['utterance']}" for turn in sample['turns']]) + data.append(json.dumps({'dialogue': dialogue}, ensure_ascii=False)+'\n') + + file_name = os.path.join(data_dir, f"{data_split}.json") + with open(file_name, "w", encoding='utf-8') as f: + f.writelines(data) + + +if __name__ == '__main__': + from argparse import ArgumentParser + parser = ArgumentParser(description="create data for seq2seq training") + parser.add_argument('--tasks', '-t', metavar='task_name', nargs='*', choices=['lm'], help='names of tasks') + parser.add_argument('--datasets', '-d', metavar='dataset_name', nargs='*', help='names of unified datasets') + parser.add_argument('--model_type', '-m', metavar='model_type', help='type of the language model: gpt, dialogpt, ..') + args = parser.parse_args() + print(args) + for dataset_name in tqdm(args.datasets, desc='datasets'): + dataset = load_dataset(dataset_name) + for task_name in tqdm(args.tasks, desc='tasks', leave=False): + data_dir = os.path.join('data', task_name, dataset_name, args.model_type) + eval(f"create_{task_name}_data")(dataset, data_dir, args) diff --git a/convlab2/base_models/gpt/keyword_extraction/get_keywords.sh b/convlab2/base_models/gpt/keyword_extraction/get_keywords.sh new file mode 100644 index 0000000000000000000000000000000000000000..6dd2680bc3c4390cf2d85cff46d7000c5293ef70 --- /dev/null +++ b/convlab2/base_models/gpt/keyword_extraction/get_keywords.sh @@ -0,0 +1,20 @@ +model_type=dialogpt +dataset_name=multiwoz21 +model_name=dialogpt-large +data_dir="data/lm/${dataset_name}/${model_type}" +word_loss_file="${data_dir}/${model_name}_${dataset_name}_word_loss.json" +keywords_num=5 +keywords_ratio=1 +keywords_th=0 +stopwords=True +output_file="${data_dir}/${dataset_name}_keywords_${model_name}_topk_${keywords_num}_ratio_${keywords_ratio}_th_${keywords_th}_stopwords_${stopwords}.json" + +python lmloss2keywords.py \ + --model_type ${model_type} \ + --word_loss_file ${word_loss_file} \ + --keywords_num ${keywords_num} \ + --keywords_ratio ${keywords_ratio} \ + --keywords_th ${keywords_th} \ + --stopwords ${stopwords} \ + --output_file ${output_file} + \ No newline at end of file diff --git a/convlab2/base_models/gpt/keyword_extraction/get_word_loss.sh b/convlab2/base_models/gpt/keyword_extraction/get_word_loss.sh new file mode 100644 index 0000000000000000000000000000000000000000..2aad467cf181c08532505a1523af746e52aacb4a --- /dev/null +++ b/convlab2/base_models/gpt/keyword_extraction/get_word_loss.sh @@ -0,0 +1,65 @@ +set -e +n_gpus=1 +task_name="lm" +dataset_name="multiwoz21" +model_type="dialogpt" +data_dir="data/${task_name}/${dataset_name}/${model_type}" +output_dir="output/${task_name}/${dataset_name}/${model_type}" +cache_dir="../cache" +validation_file="${data_dir}/validation.json" +source_column="dialogue" +max_length=512 +model_name_or_path="microsoft/DialoGPT-large" +per_device_eval_batch_size=4 + +dump_eval_loss_to="${data_dir}/dialogpt-large_${dataset_name}_token_loss.json" +python ../create_data.py --tasks ${task_name} --datasets ${dataset_name} --model_type dialogpt +python ../run_clm.py \ + --dump_eval_loss_to ${dump_eval_loss_to}\ + --model_name_or_path ${model_name_or_path} \ + --output_dir ${data_dir} \ + --validation_file ${validation_file} \ + --source_column ${source_column} \ + --max_length ${max_length} \ + --do_eval \ + --prediction_loss_only \ + --cache_dir ${cache_dir} \ + --preprocessing_num_workers 4 \ + --per_device_eval_batch_size ${per_device_eval_batch_size} +python lmloss2keywords.py --token_loss_file ${dump_eval_loss_to} --model_type ${model_type} + +dump_eval_loss_to="${data_dir}/dialogpt-large-mwoz_${dataset_name}_token_loss.json" +python ../create_data.py --tasks ${task_name} --datasets ${dataset_name} --model_type dialogpt +python ../run_clm.py \ + --dump_eval_loss_to ${dump_eval_loss_to}\ + --model_name_or_path ${output_dir} \ + --output_dir ${data_dir} \ + --validation_file ${validation_file} \ + --source_column ${source_column} \ + --max_length ${max_length} \ + --do_eval \ + --prediction_loss_only \ + --cache_dir ${cache_dir} \ + --preprocessing_num_workers 4 \ + --per_device_eval_batch_size ${per_device_eval_batch_size} +python lmloss2keywords.py --token_loss_file ${dump_eval_loss_to} --model_type ${model_type} + +model_type="gpt" +data_dir="data/${task_name}/${dataset_name}/${model_type}" +validation_file="${data_dir}/validation.json" +model_name_or_path="gpt2-large" +dump_eval_loss_to="${data_dir}/gpt2-large_${dataset_name}_token_loss.json" +python ../create_data.py --tasks ${task_name} --datasets ${dataset_name} --model_type gpt +python ../run_clm.py \ + --dump_eval_loss_to ${dump_eval_loss_to}\ + --model_name_or_path ${model_name_or_path} \ + --output_dir ${data_dir} \ + --validation_file ${validation_file} \ + --source_column ${source_column} \ + --max_length ${max_length} \ + --do_eval \ + --prediction_loss_only \ + --cache_dir ${cache_dir} \ + --preprocessing_num_workers 4 \ + --per_device_eval_batch_size ${per_device_eval_batch_size} +python lmloss2keywords.py --token_loss_file ${dump_eval_loss_to} --model_type ${model_type} diff --git a/convlab2/base_models/gpt/keyword_extraction/lmloss2keywords.py b/convlab2/base_models/gpt/keyword_extraction/lmloss2keywords.py new file mode 100644 index 0000000000000000000000000000000000000000..307d57edf4d09c8a72968f35051d451afe21bc64 --- /dev/null +++ b/convlab2/base_models/gpt/keyword_extraction/lmloss2keywords.py @@ -0,0 +1,123 @@ +import json +import json_lines +from pprint import pprint +import os +from tqdm import tqdm +import numpy as np +from nltk.corpus import stopwords +from nltk.tokenize import word_tokenize + + + +def merge_tokens(tokens, losses, loss_merge_func=np.mean): + res = [] + i = 0 + while i < len(tokens): + token = tokens[i] + loss = losses[i] + if token in ['Ġ', 'Ċ']: + if token == 'Ċ' and i < len(tokens) - 1: + tokens[i+1] = 'Ġ'+tokens[i+1] + i += 1 + continue + if token in ['user', 'system', 'Ġuser', 'Ġsystem'] and i < len(tokens)-1 and tokens[i+1] == ':': + if i > 0: + tokens[i+1] = '<|endoftext|>' + i += 1 + else: + i += 2 + continue + if token.startswith('Ġ'): + # Ġ means space + token = token.replace("Ġ", "") + res.append([token, loss]) + elif token == '<|endoftext|>': + res.append([token, loss]) + else: + assert 'Ġ' not in token + if len(res) > 0: + res[-1][0] += token + res[-1].append(loss) + else: + res.append([token, loss]) + i += 1 + if loss_merge_func: + for i in range(len(res)): + res[i] = [res[i][0], loss_merge_func(res[i][1:])] + return res + + +def convert_token_loss2word_loss(token_loss_file, loss_merge_func=np.mean): + word_loss_file = os.path.join(os.path.dirname(token_loss_file), token_loss_file.split('/')[-1].replace('token', 'word')) + fin = open(token_loss_file, 'rb') + fout = open(word_loss_file, 'w', encoding='utf-8') + lines = [] + + for item in tqdm(json_lines.reader(fin)): + tokens, losses = item['tokens'], item['losses'] + assert len(tokens) == len(losses) + word2losses = merge_tokens(tokens, losses, loss_merge_func) + lines.append({"words": [x[0] for x in word2losses], "losses": [x[1] for x in word2losses]}) + fout.write(json.dumps(lines[-1], ensure_ascii=False)+'\n') + + fin.close() + fout.close() + return lines + +def main(args): + if not args.word_loss_file: + word_loss_list = convert_token_loss2word_loss(args.token_loss_file) + else: + fin = open(args.word_loss_file, 'rb') + word_loss_list = [] + for item in json_lines.reader(fin): + words, losses = item['words'], item['losses'] + word_loss_list.append({"words": words, "losses": losses}) + fin.close() + + if not args.output_file: + return + + stop_words = set(stopwords.words('english')) + + dialogs = [] + for item in word_loss_list: + words = item['words'] + losses = item['losses'] + turns = [] + turn = {'words': [], 'losses': []} + for word, loss in zip(words, losses): + if word == '<|endoftext|>': + # switch turn + turn['utterance'] = ' '.join(turn['words']) + turn['keywords'] = list(zip(turn['words'], turn['losses'])) + if args.stopwords: + turn['keywords'] = [x for x in turn['keywords'] if not any([w.lower() in stop_words for w in word_tokenize(x[0])])] + turn['keywords'] = sorted(turn['keywords'], key=lambda x: x[1], reverse=True) + turn['keywords'] = [x for x in turn['keywords'] if x[1] > args.keywords_th][:min(round(args.keywords_ratio*len(turn['keywords'])), args.keywords_num)] + turn.pop('words') + turn.pop('losses') + turns.append(turn) + turn = {'words': [], 'losses': []} + else: + turn['words'].append(word) + turn['losses'].append(loss) + dialogs.append(turns) + json.dump(dialogs, open(args.output_file, "w", encoding='utf-8'), indent=2, ensure_ascii=False) + + + +if __name__ == '__main__': + from argparse import ArgumentParser + parser = ArgumentParser(description="extract keywords according to lm loss") + parser.add_argument('--model_type', '-m', type=str, help='gpt or dialogpt') + parser.add_argument('--token_loss_file', '-t', type=str, help='path to the token loss file that contains two columns: [tokens, losses]') + parser.add_argument('--word_loss_file', '-w', type=str, help='path to the token loss file that contains two columns: [tokens, losses]') + parser.add_argument('--output_file', '-o', type=str, help='path to the output file') + parser.add_argument('--keywords_num', '-n', type=int, default=100, help='how many words in an utterance serve as keywords') + parser.add_argument('--keywords_ratio', '-r', type=float, default=1.0, help='how many words (in ratio) in an utterance serve as keywords') + parser.add_argument('--keywords_th', '-th', type=float, default=0., help='loss threshold for the keywords') + parser.add_argument('--stopwords', '-s', type=lambda x: bool(eval(x)), default=True, help='filter out stopwords') + args = parser.parse_args() + print(args) + main(args) diff --git a/convlab2/base_models/gpt/keyword_extraction/merge_keywords_res.py b/convlab2/base_models/gpt/keyword_extraction/merge_keywords_res.py new file mode 100644 index 0000000000000000000000000000000000000000..a8ebd5ba0b623cae37521bfe93fe046d8cd0c53e --- /dev/null +++ b/convlab2/base_models/gpt/keyword_extraction/merge_keywords_res.py @@ -0,0 +1,29 @@ +import json + +def main(args): + filename2data = {f.split('/')[-1]: json.load(open(f)) for f in args.keywords_files} + first_filename = args.keywords_files[0].split('/')[-1] + dialogs = [] + for i in range(len(filename2data[first_filename])): + turns = [] + for j in range(len(filename2data[first_filename][i])): + utt = filename2data[first_filename][i][j]['utterance'] + keywords = {filename.split('_')[2]+'_nonstopword'+filename.split('_')[-1]: ' | '.join([x[0] for x in filename2data[filename][i][j]['keywords']]) for filename in filename2data} + turns.append({ + "utterance": utt, + **keywords + }) + dialogs.append(turns) + json.dump(dialogs, open(args.output_file, "w", encoding='utf-8'), indent=2, ensure_ascii=False) + + + + +if __name__ == '__main__': + from argparse import ArgumentParser + parser = ArgumentParser(description="calculate NLU metrics for unified datasets") + parser.add_argument('--keywords_files', '-f', metavar='keywords_files', nargs='*', help='keywords files') + parser.add_argument('--output_file', '-o', type=str, help='path to the output file') + args = parser.parse_args() + print(args) + main(args) diff --git a/convlab2/base_models/gpt/keyword_extraction/train_lm.sh b/convlab2/base_models/gpt/keyword_extraction/train_lm.sh new file mode 100644 index 0000000000000000000000000000000000000000..4ae47c3296e5ca7150cbbffcb7a7d247973613de --- /dev/null +++ b/convlab2/base_models/gpt/keyword_extraction/train_lm.sh @@ -0,0 +1,47 @@ +set -e +n_gpus=1 +task_name="lm" +dataset_name="multiwoz21" +model_type="dialogpt" +data_dir="data/${task_name}/${dataset_name}/${model_type}" +output_dir="output/${task_name}/${dataset_name}/${model_type}" +cache_dir="../cache" +logging_dir="${output_dir}/runs" +train_file="${data_dir}/train.json" +validation_file="${data_dir}/validation.json" +test_file="${data_dir}/test.json" +source_column="dialogue" +max_length=512 +model_name_or_path="microsoft/DialoGPT-large" +per_device_train_batch_size=16 +per_device_eval_batch_size=16 +gradient_accumulation_steps=4 +lr=5e-5 +num_train_epochs=3 + +python ../create_data.py --tasks ${task_name} --datasets ${dataset_name} --model_type dialogpt + +python ../run_clm.py \ + --model_name_or_path ${model_name_or_path} \ + --train_file ${train_file} \ + --validation_file ${validation_file} \ + --source_column ${source_column} \ + --max_length ${max_length} \ + --do_train \ + --do_eval \ + --save_strategy epoch \ + --evaluation_strategy epoch \ + --load_best_model_at_end \ + --prediction_loss_only \ + --cache_dir ${cache_dir} \ + --output_dir ${output_dir} \ + --logging_dir ${logging_dir} \ + --overwrite_output_dir \ + --preprocessing_num_workers 4 \ + --per_device_train_batch_size ${per_device_train_batch_size} \ + --per_device_eval_batch_size ${per_device_eval_batch_size} \ + --gradient_accumulation_steps ${gradient_accumulation_steps} \ + --learning_rate ${lr} \ + --num_train_epochs ${num_train_epochs} \ + --debug underflow_overflow \ + --gradient_checkpointing diff --git a/convlab2/base_models/gpt/run_clm.py b/convlab2/base_models/gpt/run_clm.py new file mode 100644 index 0000000000000000000000000000000000000000..9dff4a0ae4106964c0ccba636953bbd6544baded --- /dev/null +++ b/convlab2/base_models/gpt/run_clm.py @@ -0,0 +1,601 @@ +#!/usr/bin/env python +# coding=utf-8 +# Copyright 2020 The HuggingFace Inc. 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. +""" +Fine-tuning the library models for causal language modeling (GPT, GPT-2, CTRL, ...) on a text file or a dataset. +Modified from https://github.com/huggingface/transformers/blob/main/examples/pytorch/language-modeling/run_clm.py +Here is the full list of checkpoints on the hub that can be fine-tuned by this script: +https://huggingface.co/models?filter=text-generation +""" +# You can also adapt this script on your own causal language modeling task. Pointers for this are left as comments. + +import logging +import math +import os +import sys +from dataclasses import dataclass, field +from itertools import chain +from typing import Optional + +import datasets +from datasets import load_dataset +from tqdm import tqdm +from torch.utils.data import DataLoader +import torch +import json + +import transformers +from transformers import ( + CONFIG_MAPPING, + MODEL_FOR_CAUSAL_LM_MAPPING, + AutoConfig, + AutoModelForCausalLM, + AutoTokenizer, + HfArgumentParser, + Trainer, + TrainingArguments, + DataCollatorForTokenClassification, + is_torch_tpu_available, + set_seed, +) +from transformers.trainer_utils import get_last_checkpoint +from transformers.utils import check_min_version +from transformers.utils.versions import require_version + + +# Will error if the minimal version of Transformers is not installed. Remove at your own risks. +check_min_version("4.17.0") + +require_version("datasets>=1.8.0", "To fix: pip install -r examples/pytorch/language-modeling/requirements.txt") + +logger = logging.getLogger(__name__) + + +MODEL_CONFIG_CLASSES = list(MODEL_FOR_CAUSAL_LM_MAPPING.keys()) +MODEL_TYPES = tuple(conf.model_type for conf in MODEL_CONFIG_CLASSES) + + +@dataclass +class ModelArguments: + """ + Arguments pertaining to which model/config/tokenizer we are going to fine-tune, or train from scratch. + """ + + model_name_or_path: Optional[str] = field( + default=None, + metadata={ + "help": "The model checkpoint for weights initialization." + "Don't set if you want to train a model from scratch." + }, + ) + model_type: Optional[str] = field( + default=None, + metadata={"help": "If training from scratch, pass a model type from the list: " + ", ".join(MODEL_TYPES)}, + ) + config_overrides: Optional[str] = field( + default=None, + metadata={ + "help": "Override some existing default config settings when a model is trained from scratch. Example: " + "n_embd=10,resid_pdrop=0.2,scale_attn_weights=false,summary_type=cls_index" + }, + ) + config_name: Optional[str] = field( + default=None, metadata={"help": "Pretrained config name or path if not the same as model_name"} + ) + tokenizer_name: Optional[str] = field( + default=None, metadata={"help": "Pretrained tokenizer name or path if not the same as model_name"} + ) + cache_dir: Optional[str] = field( + default=None, + metadata={"help": "Where to store the pretrained models downloaded from huggingface.co"}, + ) + use_fast_tokenizer: bool = field( + default=True, + metadata={"help": "Whether to use one of the fast tokenizer (backed by the tokenizers library) or not."}, + ) + truncation_side: Optional[str] = field( + default="right", + metadata={"help": "Which side to truncate, left or right."} + ) + model_revision: str = field( + default="main", + metadata={"help": "The specific model version to use (can be a branch name, tag name or commit id)."}, + ) + use_auth_token: bool = field( + default=False, + metadata={ + "help": "Will use the token generated when running `transformers-cli login` (necessary to use this script " + "with private models)." + }, + ) + resize_position_embeddings: Optional[bool] = field( + default=None, + metadata={ + "help": "Whether to automatically resize the position embeddings if `max_source_length` exceeds " + "the model's position embeddings." + }, + ) + + def __post_init__(self): + if self.config_overrides is not None and (self.config_name is not None or self.model_name_or_path is not None): + raise ValueError( + "--config_overrides can't be used in combination with --config_name or --model_name_or_path" + ) + + +@dataclass +class DataTrainingArguments: + """ + Arguments pertaining to what data we are going to input our model for training and eval. + """ + + dataset_name: Optional[str] = field( + default=None, metadata={"help": "The name of the dataset to use (via the datasets library)."} + ) + dataset_config_name: Optional[str] = field( + default=None, metadata={"help": "The configuration name of the dataset to use (via the datasets library)."} + ) + source_column: Optional[str] = field( + default=None, + metadata={"help": "The name of the column in the datasets containing the texts."}, + ) + train_file: Optional[str] = field( + default=None, metadata={"help": "The input training data file (a text, jsonlines or csv file)."} + ) + validation_file: Optional[str] = field( + default=None, + metadata={ + "help": "An optional input evaluation data file to evaluate the metrics on (a text, jsonlines or csv file)." + }, + ) + dump_eval_loss_to: Optional[str] = field( + default=None, metadata={"help": "Where to dump the tokens' losses in the evaluation data, default not to"} + ) + overwrite_cache: bool = field( + default=False, metadata={"help": "Overwrite the cached training and evaluation sets"} + ) + preprocessing_num_workers: Optional[int] = field( + default=None, + metadata={"help": "The number of processes to use for the preprocessing."}, + ) + max_length: Optional[int] = field( + default=1024, + metadata={ + "help": "The maximum total input sequence length after tokenization. Sequences longer " + "than this will be truncated, sequences shorter will be padded." + }, + ) + pad_to_max_length: bool = field( + default=False, + metadata={ + "help": "Whether to pad all samples to model maximum sentence length. " + "If False, will pad the samples dynamically when batching to the maximum length in the batch. More " + "efficient on GPU but very bad for TPU." + }, + ) + max_train_samples: Optional[int] = field( + default=None, + metadata={ + "help": "For debugging purposes or quicker training, truncate the number of training examples to this " + "value if set." + }, + ) + max_eval_samples: Optional[int] = field( + default=None, + metadata={ + "help": "For debugging purposes or quicker training, truncate the number of evaluation examples to this " + "value if set." + }, + ) + ignore_pad_token_for_loss: bool = field( + default=True, + metadata={ + "help": "Whether to ignore the tokens corresponding to padded labels in the loss computation or not." + }, + ) + validation_split_percentage: Optional[int] = field( + default=5, + metadata={ + "help": "The percentage of the train set used as validation set in case there's no validation split" + }, + ) + keep_linebreaks: bool = field( + default=True, metadata={"help": "Whether to keep line breaks when using TXT files or not."} + ) + + def __post_init__(self): + if self.dataset_name is None and self.train_file is None and self.validation_file is None: + raise ValueError("Need either a dataset name or a training/validation file.") + else: + if self.train_file is not None: + extension = self.train_file.split(".")[-1] + assert extension in ["csv", "json", "txt"], "`train_file` should be a csv, a json or a txt file." + if self.validation_file is not None: + extension = self.validation_file.split(".")[-1] + assert extension in ["csv", "json", "txt"], "`validation_file` should be a csv, a json or a txt file." + + +def main(): + # See all possible arguments in src/transformers/training_args.py + # or by passing the --help flag to this script. + # We now keep distinct sets of args, for a cleaner separation of concerns. + + parser = HfArgumentParser((ModelArguments, DataTrainingArguments, TrainingArguments)) + if len(sys.argv) == 2 and sys.argv[1].endswith(".json"): + # If we pass only one argument to the script and it's the path to a json file, + # let's parse it to get our arguments. + model_args, data_args, training_args = parser.parse_json_file(json_file=os.path.abspath(sys.argv[1])) + else: + model_args, data_args, training_args = parser.parse_args_into_dataclasses() + + # Setup logging + logging.basicConfig( + format="%(asctime)s - %(levelname)s - %(name)s - %(message)s", + datefmt="%m/%d/%Y %H:%M:%S", + handlers=[logging.StreamHandler(sys.stdout)], + ) + log_level = training_args.get_process_log_level() + logger.setLevel(log_level) + datasets.utils.logging.set_verbosity(log_level) + transformers.utils.logging.set_verbosity(log_level) + transformers.utils.logging.enable_default_handler() + transformers.utils.logging.enable_explicit_format() + + # Log on each process the small summary: + logger.warning( + f"Process rank: {training_args.local_rank}, device: {training_args.device}, n_gpu: {training_args.n_gpu}" + + f"distributed training: {bool(training_args.local_rank != -1)}, 16-bits training: {training_args.fp16}" + ) + logger.info(f"Training/evaluation parameters {training_args}") + + # Detecting last checkpoint. + last_checkpoint = None + if os.path.isdir(training_args.output_dir) and training_args.do_train and not training_args.overwrite_output_dir: + last_checkpoint = get_last_checkpoint(training_args.output_dir) + if last_checkpoint is None and len(os.listdir(training_args.output_dir)) > 0: + raise ValueError( + f"Output directory ({training_args.output_dir}) already exists and is not empty. " + "Use --overwrite_output_dir to overcome." + ) + elif last_checkpoint is not None and training_args.resume_from_checkpoint is None: + logger.info( + f"Checkpoint detected, resuming training at {last_checkpoint}. To avoid this behavior, change " + "the `--output_dir` or add `--overwrite_output_dir` to train from scratch." + ) + + # Set seed before initializing model. + set_seed(training_args.seed) + + # Get the datasets: you can either provide your own CSV/JSON/TXT training and evaluation files (see below) + # or just provide the name of one of the public datasets available on the hub at https://huggingface.co/datasets/ + # (the dataset will be downloaded automatically from the datasets Hub). + # + # For CSV/JSON files, this script will use the column called 'text' or the first column if no column called + # 'text' is found. You can easily tweak this behavior (see below). + # + # In distributed training, the load_dataset function guarantee that only one local process can concurrently + # download the dataset. + if data_args.dataset_name is not None: + # Downloading and loading a dataset from the hub. + raw_datasets = load_dataset( + data_args.dataset_name, + data_args.dataset_config_name, + cache_dir=model_args.cache_dir, + use_auth_token=True if model_args.use_auth_token else None, + ) + if "validation" not in raw_datasets.keys(): + raw_datasets["validation"] = load_dataset( + data_args.dataset_name, + data_args.dataset_config_name, + split=f"train[:{data_args.validation_split_percentage}%]", + cache_dir=model_args.cache_dir, + use_auth_token=True if model_args.use_auth_token else None, + ) + raw_datasets["train"] = load_dataset( + data_args.dataset_name, + data_args.dataset_config_name, + split=f"train[{data_args.validation_split_percentage}%:]", + cache_dir=model_args.cache_dir, + use_auth_token=True if model_args.use_auth_token else None, + ) + else: + data_files = {} + dataset_args = {} + if data_args.train_file is not None: + data_files["train"] = data_args.train_file + if data_args.validation_file is not None: + data_files["validation"] = data_args.validation_file + extension = ( + data_args.train_file.split(".")[-1] + if data_args.train_file is not None + else data_args.validation_file.split(".")[-1] + ) + if extension == "txt": + extension = "text" + dataset_args["keep_linebreaks"] = data_args.keep_linebreaks + raw_datasets = load_dataset( + extension, + data_files=data_files, + cache_dir=model_args.cache_dir, + use_auth_token=True if model_args.use_auth_token else None, + **dataset_args, + ) + # If no validation data is there, validation_split_percentage will be used to divide the dataset. + if "validation" not in raw_datasets.keys(): + raw_datasets["validation"] = load_dataset( + extension, + data_files=data_files, + split=f"train[:{data_args.validation_split_percentage}%]", + cache_dir=model_args.cache_dir, + use_auth_token=True if model_args.use_auth_token else None, + **dataset_args, + ) + raw_datasets["train"] = load_dataset( + extension, + data_files=data_files, + split=f"train[{data_args.validation_split_percentage}%:]", + cache_dir=model_args.cache_dir, + use_auth_token=True if model_args.use_auth_token else None, + **dataset_args, + ) + + # See more about loading any type of standard or custom dataset (from files, python dict, pandas DataFrame, etc) at + # https://huggingface.co/docs/datasets/loading_datasets.html. + + # Load pretrained model and tokenizer + # + # Distributed training: + # The .from_pretrained methods guarantee that only one local process can concurrently + # download model & vocab. + config_kwargs = { + "cache_dir": model_args.cache_dir, + "revision": model_args.model_revision, + "use_auth_token": True if model_args.use_auth_token else None, + } + if model_args.config_name: + config = AutoConfig.from_pretrained(model_args.config_name, **config_kwargs) + elif model_args.model_name_or_path: + config = AutoConfig.from_pretrained(model_args.model_name_or_path, **config_kwargs) + else: + config = CONFIG_MAPPING[model_args.model_type]() + logger.warning("You are instantiating a new config instance from scratch.") + if model_args.config_overrides is not None: + logger.info(f"Overriding config: {model_args.config_overrides}") + config.update_from_string(model_args.config_overrides) + logger.info(f"New config: {config}") + + tokenizer_kwargs = { + "cache_dir": model_args.cache_dir, + "use_fast": model_args.use_fast_tokenizer, + "truncation_side": model_args.truncation_side, + "revision": model_args.model_revision, + "use_auth_token": True if model_args.use_auth_token else None, + } + if model_args.tokenizer_name: + tokenizer = AutoTokenizer.from_pretrained(model_args.tokenizer_name, **tokenizer_kwargs) + elif model_args.model_name_or_path: + tokenizer = AutoTokenizer.from_pretrained(model_args.model_name_or_path, **tokenizer_kwargs) + else: + raise ValueError( + "You are instantiating a new tokenizer from scratch. This is not supported by this script." + "You can do it from another script, save it, and load it from here, using --tokenizer_name." + ) + + if not tokenizer.pad_token: + tokenizer.pad_token = tokenizer.eos_token + + if model_args.model_name_or_path: + model = AutoModelForCausalLM.from_pretrained( + model_args.model_name_or_path, + from_tf=bool(".ckpt" in model_args.model_name_or_path), + config=config, + cache_dir=model_args.cache_dir, + revision=model_args.model_revision, + use_auth_token=True if model_args.use_auth_token else None, + ) + else: + model = AutoModelForCausalLM.from_config(config) + n_params = sum(dict((p.data_ptr(), p.numel()) for p in model.parameters()).values()) + logger.info(f"Training new model from scratch - Total size={n_params/2**20:.2f}M params") + + model.resize_token_embeddings(len(tokenizer)) + + if training_args.gradient_checkpointing: + # use_cache=True is incompatible with gradient checkpointing. + config.use_cache = False + + # Preprocessing the datasets. + # First we tokenize all the texts. + if training_args.do_train: + column_names = raw_datasets["train"].column_names + elif training_args.do_eval: + column_names = raw_datasets["validation"].column_names + else: + logger.info("There is nothing to do. Please pass `do_train` and/or `do_eval`.") + return + if data_args.source_column is None: + source_column = column_names[0] + else: + source_column = data_args.source_column + if source_column not in column_names: + raise ValueError( + f"--source_column' value '{data_args.source_column}' needs to be one of: {', '.join(column_names)}" + ) + + def preprocess_function(examples): + + inputs = [] + for i in range(len(examples[source_column])): + if len(examples[source_column][i]) > 0: + inputs.append(examples[source_column][i]) + + padding = "max_length" if data_args.pad_to_max_length else False + model_inputs = tokenizer(inputs, max_length=data_args.max_length, padding=padding, truncation=True) + + # If we are padding here, replace all tokenizer.pad_token_id in the labels by -100 when we want to ignore + # padding in the loss. Else pad in data_collator. + if padding == "max_length" and data_args.ignore_pad_token_for_loss: + model_inputs["labels"] = [ + [(l if l != tokenizer.pad_token_id else -100) for l in label] for label in model_inputs["input_ids"] + ] + else: + model_inputs["labels"] = model_inputs["input_ids"].copy() + + return model_inputs + + with training_args.main_process_first(desc="dataset map tokenization"): + tokenized_datasets = raw_datasets.map( + preprocess_function, + batched=True, + num_proc=data_args.preprocessing_num_workers, + remove_columns=column_names, + load_from_cache_file=not data_args.overwrite_cache, + desc="Running tokenizer on dataset", + ) + + lm_datasets = tokenized_datasets + + if training_args.do_train: + if "train" not in tokenized_datasets: + raise ValueError("--do_train requires a train dataset") + train_dataset = lm_datasets["train"] + if data_args.max_train_samples is not None: + max_train_samples = min(len(train_dataset), data_args.max_train_samples) + train_dataset = train_dataset.select(range(max_train_samples)) + + if training_args.do_eval: + if "validation" not in tokenized_datasets: + raise ValueError("--do_eval requires a validation dataset") + eval_dataset = lm_datasets["validation"] + if data_args.max_eval_samples is not None: + max_eval_samples = min(len(eval_dataset), data_args.max_eval_samples) + eval_dataset = eval_dataset.select(range(max_eval_samples)) + + # Data collator + label_pad_token_id = -100 if data_args.ignore_pad_token_for_loss else tokenizer.pad_token_id + data_collator = DataCollatorForTokenClassification( + tokenizer, + label_pad_token_id=label_pad_token_id, + pad_to_multiple_of=8 if training_args.fp16 else None, + ) + + # Initialize our Trainer + trainer = Trainer( + model=model, + args=training_args, + train_dataset=train_dataset if training_args.do_train else None, + eval_dataset=eval_dataset if training_args.do_eval else None, + tokenizer=tokenizer, + # Data collator will default to DataCollatorWithPadding, so we change it. + data_collator=data_collator + ) + + # Training + if training_args.do_train: + checkpoint = None + if training_args.resume_from_checkpoint is not None: + checkpoint = training_args.resume_from_checkpoint + elif last_checkpoint is not None: + checkpoint = last_checkpoint + train_result = trainer.train(resume_from_checkpoint=checkpoint) + trainer.save_model() # Saves the tokenizer too for easy upload + + metrics = train_result.metrics + max_train_samples = ( + data_args.max_train_samples if data_args.max_train_samples is not None else len(train_dataset) + ) + metrics["train_samples"] = min(max_train_samples, len(train_dataset)) + + trainer.log_metrics("train", metrics) + trainer.save_metrics("train", metrics) + trainer.save_state() + + # Evaluation + if training_args.do_eval: + logger.info("*** Evaluate ***") + if not data_args.dump_eval_loss_to: + metrics = trainer.evaluate(metric_key_prefix="eval") + max_eval_samples = data_args.max_eval_samples if data_args.max_eval_samples is not None else len(eval_dataset) + metrics["eval_samples"] = min(max_eval_samples, len(eval_dataset)) + try: + perplexity = math.exp(metrics["eval_loss"]) + except OverflowError: + perplexity = float("inf") + metrics["eval_perplexity"] = perplexity + logger.info(f"eval_perplexity: {perplexity}") + + trainer.log_metrics("eval", metrics) + trainer.save_metrics("eval", metrics) + else: + if trainer.is_world_process_zero(): + output_prediction_file = data_args.dump_eval_loss_to + writer = open(output_prediction_file, "w", encoding='utf-8') + + eval_dataloader = DataLoader( + eval_dataset, collate_fn=lambda x: {k: v.to(model.device) for k, v in data_collator(x).items()}, batch_size=training_args.per_device_eval_batch_size + ) + model.eval() + losses = [] + loss_fct = torch.nn.CrossEntropyLoss(reduction='none') + for batch in tqdm(eval_dataloader): + with torch.no_grad(): + outputs = model(**batch) + + loss = outputs.loss + losses.append(loss.repeat(training_args.per_device_eval_batch_size)) + + shift_logits = outputs.logits[..., :-1, :].contiguous() + shift_labels = batch['labels'][..., 1:].contiguous() + batch_token_loss = loss_fct(shift_logits.view(-1, shift_logits.size(-1)), shift_labels.view(-1)) + batch_token_loss = batch_token_loss.view(shift_labels.size()).tolist() + labels = batch['labels'].tolist() + for i in range(len(labels)): + token_ids = [x for x in labels[i] if x != -100] + tokens = tokenizer.convert_ids_to_tokens(token_ids) + token_losses = [0] + batch_token_loss[i][:len(token_ids)-1] + writer.write(json.dumps({"tokens": tokens, "losses": token_losses}, ensure_ascii=False)+'\n') + + losses = torch.cat(losses) + losses = losses[: len(eval_dataset)] + try: + perplexity = math.exp(torch.mean(losses)) + except OverflowError: + perplexity = float("inf") + logger.info(f"perplexity: {perplexity}") + + writer.close() + + kwargs = {"finetuned_from": model_args.model_name_or_path, "tasks": "text-generation"} + if data_args.dataset_name is not None: + kwargs["dataset_tags"] = data_args.dataset_name + if data_args.dataset_config_name is not None: + kwargs["dataset_args"] = data_args.dataset_config_name + kwargs["dataset"] = f"{data_args.dataset_name} {data_args.dataset_config_name}" + else: + kwargs["dataset"] = data_args.dataset_name + + if training_args.push_to_hub: + trainer.push_to_hub(**kwargs) + else: + trainer.create_model_card(**kwargs) + + +def _mp_fn(index): + # For xla_spawn (TPUs) + main() + + +if __name__ == "__main__": + main() diff --git a/convlab2/base_models/t5/create_data.py b/convlab2/base_models/t5/create_data.py index 6e637826c4bdc2a9fead90b71c4f969ea8a92408..c2f3da96523266936e4f15ad19682de62e5da3da 100644 --- a/convlab2/base_models/t5/create_data.py +++ b/convlab2/base_models/t5/create_data.py @@ -1,37 +1,151 @@ import os import json from tqdm import tqdm +import re +from transformers import AutoTokenizer from convlab2.util import load_dataset, load_nlu_data, load_dst_data, load_policy_data, load_nlg_data, load_e2e_data, load_rg_data +from convlab2.base_models.t5.nlu.serialization import serialize_dialogue_acts, deserialize_dialogue_acts, equal_da_seq +from convlab2.base_models.t5.dst.serialization import serialize_dialogue_state, deserialize_dialogue_state, equal_state_seq -def create_rg_data(dataset, data_dir): - data_by_split = load_rg_data(dataset) +def create_rg_data(dataset, data_dir, args): + data_by_split = load_rg_data(dataset, speaker=args.speaker) + data_dir = os.path.join(data_dir, args.speaker) + os.makedirs(data_dir, exist_ok=True) + + data_splits = data_by_split.keys() + for data_split in data_splits: + data = [] + for sample in tqdm(data_by_split[data_split], desc=f'{data_split} sample', leave=False): + if len(sample['context']) == 0: + continue + context = '\n'.join([f"{turn['speaker']}: {turn['utterance']}" for turn in sample['context']]+[f'{sample["speaker"]}: ']) + data.append(json.dumps({'context': context, 'response': sample['utterance']}, ensure_ascii=False)+'\n') + + file_name = os.path.join(data_dir, f"{data_split}.json") + with open(file_name, "w", encoding='utf-8') as f: + f.writelines(data) + data_by_split[data_split] = data + return data_by_split + +def create_nlu_data(dataset, data_dir, args): + data_by_split = load_nlu_data(dataset, speaker=args.speaker, use_context=args.context_window_size>0, context_window_size=args.context_window_size) + data_dir = os.path.join(data_dir, args.speaker, f'context_{args.context_window_size}') + os.makedirs(data_dir, exist_ok=True) + + data_splits = data_by_split.keys() + for data_split in data_splits: + data = [] + for sample in tqdm(data_by_split[data_split], desc=f'{data_split} sample', leave=False): + response = f"{sample['speaker']}: {sample['utterance']}" + if args.context_window_size>0: + context = '\n'.join([f"{turn['speaker']}: {turn['utterance']}" for turn in sample['context']]+[response]) + else: + context = response + dialogue_acts_seq = serialize_dialogue_acts(sample['dialogue_acts']) + assert equal_da_seq(sample['dialogue_acts'], dialogue_acts_seq), print(sample['dialogue_acts'], dialogue_acts_seq, deserialize_dialogue_acts(dialogue_acts_seq)) + data.append(json.dumps({'context': context, 'dialogue_acts_seq': dialogue_acts_seq}, ensure_ascii=False)+'\n') + + file_name = os.path.join(data_dir, f"{data_split}.json") + with open(file_name, "w", encoding='utf-8') as f: + f.writelines(data) + data_by_split[data_split] = data + return data_by_split + +def create_dst_data(dataset, data_dir, args): + data_by_split = load_dst_data(dataset, speaker=args.speaker, use_context=args.context_window_size>0, context_window_size=args.context_window_size) + data_dir = os.path.join(data_dir, args.speaker, f'context_{args.context_window_size}') os.makedirs(data_dir, exist_ok=True) data_splits = data_by_split.keys() - file_name = os.path.join(data_dir, f"source_prefix.txt") - with open(file_name, "w") as f: - f.write("generate a system response according to the context: ") for data_split in data_splits: data = [] for sample in tqdm(data_by_split[data_split], desc=f'{data_split} sample', leave=False): - context = ' '.join([f"{turn['speaker']}: {turn['utterance']}" for turn in sample['context']]) response = f"{sample['speaker']}: {sample['utterance']}" - data.append(json.dumps({'context': context, 'response': response}, ensure_ascii=False)+'\n') + if args.context_window_size>0: + context = '\n'.join([f"{turn['speaker']}: {turn['utterance']}" for turn in sample['context']]+[response]) + else: + context = response + state_seq = serialize_dialogue_state(sample['state']) + assert equal_state_seq(sample['state'], state_seq), print(sample['state'], state_seq, deserialize_dialogue_state(state_seq)) + data.append(json.dumps({'context': context, 'state_seq': state_seq}, ensure_ascii=False)+'\n') file_name = os.path.join(data_dir, f"{data_split}.json") with open(file_name, "w", encoding='utf-8') as f: f.writelines(data) + data_by_split[data_split] = data + return data_by_split + +def create_nlg_data(dataset, data_dir, args): + data_by_split = load_nlu_data(dataset, speaker=args.speaker, use_context=args.context_window_size>0, context_window_size=args.context_window_size) + data_dir = os.path.join(data_dir, args.speaker, f'context_{args.context_window_size}') + os.makedirs(data_dir, exist_ok=True) + + data_splits = data_by_split.keys() + for data_split in data_splits: + data = [] + for sample in tqdm(data_by_split[data_split], desc=f'{data_split} sample', leave=False): + dialogue_acts_seq = serialize_dialogue_acts(sample['dialogue_acts']) + if args.context_window_size>0: + context = '\n'.join([f"{turn['speaker']}: {turn['utterance']}" for turn in sample['context']]+[f'{sample["speaker"]}: ']) + context = f'{dialogue_acts_seq}\n{context}' + else: + context = f'{dialogue_acts_seq}\n{sample["speaker"]}: ' + assert equal_da_seq(sample['dialogue_acts'], dialogue_acts_seq), print(sample['dialogue_acts'], dialogue_acts_seq, deserialize_dialogue_acts(dialogue_acts_seq)) + data.append(json.dumps({'context+da': context, 'response': sample['utterance']}, ensure_ascii=False)+'\n') + + file_name = os.path.join(data_dir, f"{data_split}.json") + with open(file_name, "w", encoding='utf-8') as f: + f.writelines(data) + data_by_split[data_split] = data + return data_by_split + +def create_goal2dialogue_data(dataset, data_dir, args): + data_by_split = dataset + os.makedirs(data_dir, exist_ok=True) + + data_splits = data_by_split.keys() + for data_split in data_splits: + data = [] + for sample in tqdm(data_by_split[data_split], desc=f'{data_split} sample', leave=False): + goal = re.sub(r'<.*?>', '', sample['goal']['description']) + dialogue = '\n'.join([f"{turn['speaker']}: {turn['utterance']}" for turn in sample['turns']]) + data.append(json.dumps({'goal': goal, 'dialogue': dialogue}, ensure_ascii=False)+'\n') + + file_name = os.path.join(data_dir, f"{data_split}.json") + with open(file_name, "w", encoding='utf-8') as f: + f.writelines(data) + data_by_split[data_split] = data + return data_by_split + +def get_max_len(data_by_split, tokenizer): + for data_split in data_by_split.keys(): + seq_len = {} + for line in data_by_split[data_split]: + item = json.loads(line.strip()) + for column, seq in item.items(): + seq_len.setdefault(column, []) + seq_len[column].append(len(tokenizer.tokenize(seq))) + print(f"data split: {data_split}") + for column, lens in seq_len.items(): + print(f'\t{column}\tmax_len: {max(lens)}\tmean_len: {round(sum(lens)/len(lens),2)}') + if __name__ == '__main__': from argparse import ArgumentParser parser = ArgumentParser(description="create data for seq2seq training") - parser.add_argument('--tasks', metavar='task_name', nargs='*', choices=['rg'], help='names of tasks') - parser.add_argument('--datasets', metavar='dataset_name', nargs='*', help='names of unified datasets') - parser.add_argument('--save_dir', metavar='save_directory', type=str, default='data', help='directory to save the data, default: data/$task_name/$dataset_name') + parser.add_argument('--tasks', '-t', metavar='task_name', nargs='*', choices=['rg', 'nlu', 'dst', 'nlg', 'goal2dialogue'], help='names of tasks') + parser.add_argument('--datasets', '-d', metavar='dataset_name', nargs='*', help='names of unified datasets') + parser.add_argument('--speaker', '-s', type=str, choices=['user', 'system', 'all'], help='speaker(s)') + parser.add_argument('--context_window_size', '-c', type=int, default=0, help='how many contextual utterances are considered') + parser.add_argument('--len_tokenizer', '-l', type=str, default=None, help='name or path of tokenizer that used to get seq len') args = parser.parse_args() print(args) + if args.len_tokenizer: + tokenizer = AutoTokenizer.from_pretrained(args.len_tokenizer) for dataset_name in tqdm(args.datasets, desc='datasets'): dataset = load_dataset(dataset_name) for task_name in tqdm(args.tasks, desc='tasks', leave=False): - data_dir = os.path.join(args.save_dir, task_name, dataset_name) - eval(f"create_{task_name}_data")(dataset, data_dir) + data_dir = os.path.join('data', task_name, dataset_name) + data_by_split = eval(f"create_{task_name}_data")(dataset, data_dir, args) + if args.len_tokenizer: + get_max_len(data_by_split, tokenizer) diff --git a/convlab2/base_models/t5/dst/dst_metric.py b/convlab2/base_models/t5/dst/dst_metric.py new file mode 100644 index 0000000000000000000000000000000000000000..aedef34df8a12a0d590b5af4530ea18eab8b3c20 --- /dev/null +++ b/convlab2/base_models/t5/dst/dst_metric.py @@ -0,0 +1,107 @@ +# Copyright 2020 The HuggingFace Datasets Authors and the current dataset script contributor. +# +# 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. +"""DST Metric""" + +import datasets +from convlab2.base_models.t5.dst.serialization import deserialize_dialogue_state + + +# TODO: Add BibTeX citation +_CITATION = """\ +""" + +_DESCRIPTION = """\ +Metric to evaluate text-to-text models on the dialog state tracking task. +""" + +_KWARGS_DESCRIPTION = """ +Calculates sequence exact match, joint goal accuracy and slot f1 +Args: + predictions: list of predictions to score. Each predictions + should be a string. + references: list of reference for each prediction. Each + reference should be a string. +Returns: + seq_em: sequence exact match + accuracy: dialog state accuracy + slot_f1: slot f1 +Examples: + + >>> dst_metric = datasets.load_metric("dst_metric.py") + >>> predictions = ["[restaurant][price range][moderate]", "[restaurant][price range][moderate];[restaurant][food][catalan];[restaurant][area][centre]"] + >>> references = ["[restaurant][price range][moderate]", "[restaurant][price range][moderate];[restaurant][food][catalan];[attraction][area][centre]"] + >>> results = dst_metric.compute(predictions=predictions, references=references) + >>> print(results) + {'seq_em': 0.5, 'accuracy': 0.5, + 'slot_f1': 0.75, 'slot_precision': 0.75, 'slot_recall': 0.75} +""" + + +@datasets.utils.file_utils.add_start_docstrings(_DESCRIPTION, _KWARGS_DESCRIPTION) +class DSTMetrics(datasets.Metric): + """Metric to evaluate text-to-text models on the dialog state tracking task.""" + + def _info(self): + return datasets.MetricInfo( + description=_DESCRIPTION, + citation=_CITATION, + inputs_description=_KWARGS_DESCRIPTION, + # This defines the format of each prediction and reference + features=datasets.Features({ + 'predictions': datasets.Value('string'), + 'references': datasets.Value('string'), + }) + ) + + def _compute(self, predictions, references): + """Returns the scores: sequence exact match, joint goal accuracy and slot f1""" + seq_em = [] + acc = [] + f1_metrics = {'TP':0, 'FP':0, 'FN':0} + + for prediction, reference in zip(predictions, references): + seq_em.append(prediction.strip()==reference.strip()) + pred_state = deserialize_dialogue_state(prediction) + gold_state = deserialize_dialogue_state(reference) + + predicts = sorted(list({(domain, slot, ''.join(value.split()).lower()) for domain in pred_state for slot, value in pred_state[domain].items() if len(value)>0})) + labels = sorted(list({(domain, slot, ''.join(value.split()).lower()) for domain in gold_state for slot, value in gold_state[domain].items() if len(value)>0})) + + flag = True + for ele in predicts: + if ele in labels: + f1_metrics['TP'] += 1 + else: + f1_metrics['FP'] += 1 + for ele in labels: + if ele not in predicts: + f1_metrics['FN'] += 1 + flag &= (predicts==labels) + acc.append(flag) + + TP = f1_metrics.pop('TP') + FP = f1_metrics.pop('FP') + FN = f1_metrics.pop('FN') + precision = 1.0 * TP / (TP + FP) if TP + FP else 0. + recall = 1.0 * TP / (TP + FN) if TP + FN else 0. + f1 = 2.0 * precision * recall / (precision + recall) if precision + recall else 0. + f1_metrics[f'slot_f1'] = f1 + f1_metrics[f'slot_precision'] = precision + f1_metrics[f'slot_recall'] = recall + + return { + "seq_em": sum(seq_em)/len(seq_em), + "accuracy": sum(acc)/len(acc), + **f1_metrics + } diff --git a/convlab2/base_models/t5/dst/merge_predict_res.py b/convlab2/base_models/t5/dst/merge_predict_res.py new file mode 100755 index 0000000000000000000000000000000000000000..0a80ee80bfc2bb3a0f39b2e369fabc41d2b2b5d0 --- /dev/null +++ b/convlab2/base_models/t5/dst/merge_predict_res.py @@ -0,0 +1,34 @@ +import json +import os +from convlab2.util import load_dataset, load_dst_data +from convlab2.base_models.t5.dst.serialization import deserialize_dialogue_state + + +def merge(dataset_name, speaker, save_dir, context_window_size, predict_result): + assert os.path.exists(predict_result) + dataset = load_dataset(dataset_name) + data = load_dst_data(dataset, data_split='test', speaker=speaker, use_context=context_window_size>0, context_window_size=context_window_size)['test'] + + if save_dir is None: + save_dir = os.path.dirname(predict_result) + else: + os.makedirs(save_dir, exist_ok=True) + predict_result = [deserialize_dialogue_state(json.loads(x)['predictions'].strip()) for x in open(predict_result)] + + for sample, prediction in zip(data, predict_result): + sample['predictions'] = {'state': prediction} + + json.dump(data, open(os.path.join(save_dir, 'predictions.json'), 'w', encoding='utf-8'), indent=2, ensure_ascii=False) + + +if __name__ == '__main__': + from argparse import ArgumentParser + parser = ArgumentParser(description="merge predict results with original data for unified NLU evaluation") + parser.add_argument('--dataset', '-d', metavar='dataset_name', type=str, help='name of the unified dataset') + parser.add_argument('--speaker', '-s', type=str, choices=['user', 'system', 'all'], help='speaker(s) of utterances') + parser.add_argument('--save_dir', type=str, help='merged data will be saved as $save_dir/predictions.json. default: on the same directory as predict_result') + parser.add_argument('--context_window_size', '-c', type=int, default=0, help='how many contextual utterances are considered') + parser.add_argument('--predict_result', '-p', type=str, required=True, help='path to the output file generated_predictions.json') + args = parser.parse_args() + print(args) + merge(args.dataset, args.speaker, args.save_dir, args.context_window_size, args.predict_result) diff --git a/convlab2/base_models/t5/dst/run_dst.sh b/convlab2/base_models/t5/dst/run_dst.sh new file mode 100644 index 0000000000000000000000000000000000000000..7ee6041efd37c8f3c53d4a10f34e279256cb0f45 --- /dev/null +++ b/convlab2/base_models/t5/dst/run_dst.sh @@ -0,0 +1,83 @@ +n_gpus=1 +task_name="dst" +dataset_name=$1 +speaker="user" +context_window_size=100 +data_dir="data/${task_name}/${dataset_name}/${speaker}/context_${context_window_size}" +output_dir="output/${task_name}/${dataset_name}/${speaker}/context_${context_window_size}" +cache_dir="../cache" +logging_dir="${output_dir}/runs" +train_file="${data_dir}/train.json" +validation_file="${data_dir}/validation.json" +test_file="${data_dir}/test.json" +metric_name_or_path="dst_metric.py" +metric_for_best_model="accuracy" +source_column="context" +target_column="state_seq" +truncation_side="left" +max_source_length=1024 +max_target_length=512 +model_name_or_path="t5-small" +per_device_train_batch_size=64 +per_device_eval_batch_size=64 +gradient_accumulation_steps=2 +lr=1e-3 +num_train_epochs=10 + +python ../create_data.py -t ${task_name} -d ${dataset_name} -s ${speaker} -c ${context_window_size} -l t5-small + +python -m torch.distributed.launch \ + --nproc_per_node ${n_gpus} ../run_seq2seq.py \ + --task_name ${task_name} \ + --train_file ${train_file} \ + --validation_file ${validation_file} \ + --test_file ${test_file} \ + --source_column ${source_column} \ + --target_column ${target_column} \ + --max_source_length ${max_source_length} \ + --max_target_length ${max_target_length} \ + --truncation_side ${truncation_side} \ + --model_name_or_path ${model_name_or_path} \ + --do_train \ + --do_eval \ + --do_predict \ + --save_strategy epoch \ + --evaluation_strategy epoch \ + --prediction_loss_only \ + --cache_dir ${cache_dir} \ + --output_dir ${output_dir} \ + --logging_dir ${logging_dir} \ + --overwrite_output_dir \ + --preprocessing_num_workers 4 \ + --per_device_train_batch_size ${per_device_train_batch_size} \ + --per_device_eval_batch_size ${per_device_eval_batch_size} \ + --gradient_accumulation_steps ${gradient_accumulation_steps} \ + --learning_rate ${lr} \ + --num_train_epochs ${num_train_epochs} \ + --debug underflow_overflow \ + --adafactor \ + --gradient_checkpointing + +python -m torch.distributed.launch \ + --nproc_per_node ${n_gpus} ../run_seq2seq.py \ + --task_name ${task_name} \ + --test_file ${test_file} \ + --source_column ${source_column} \ + --target_column ${target_column} \ + --max_source_length ${max_source_length} \ + --max_target_length ${max_target_length} \ + --truncation_side ${truncation_side} \ + --model_name_or_path ${output_dir} \ + --do_predict \ + --predict_with_generate \ + --metric_name_or_path ${metric_name_or_path} \ + --cache_dir ${cache_dir} \ + --output_dir ${output_dir} \ + --logging_dir ${logging_dir} \ + --overwrite_output_dir \ + --preprocessing_num_workers 4 \ + --per_device_eval_batch_size ${per_device_eval_batch_size} + +python merge_predict_res.py -d ${dataset_name} -s ${speaker} -c ${context_window_size} -p ${output_dir}/generated_predictions.json + +python ../../../dst/evaluate_unified_datasets.py -p ${output_dir}/predictions.json diff --git a/convlab2/base_models/t5/dst/serialization.py b/convlab2/base_models/t5/dst/serialization.py new file mode 100644 index 0000000000000000000000000000000000000000..f452ae2d8ef3f63844b7df0c5034c145080771d1 --- /dev/null +++ b/convlab2/base_models/t5/dst/serialization.py @@ -0,0 +1,44 @@ +def serialize_dialogue_state(state): + state_dict = {} + for domain in state: + for slot, value in sorted(state[domain].items()): + if len(value) > 0: + state_dict.setdefault(f'[{domain}]', []) + state_dict[f'[{domain}]'].append(f'[{slot}][{value}]') + return ';'.join([domain+'('+','.join(slot_values)+')' for domain, slot_values in state_dict.items()]) + +def deserialize_dialogue_state(state_seq): + state = {} + if len(state_seq) == 0: + return state + state_seqs = state_seq.split(']);[') # will consume "])" and "[" + for i, state_seq in enumerate(state_seqs): + if len(state_seq) == 0 or len(state_seq.split(']([')) != 2: + continue + if i == 0: + if state_seq[0] == '[': + state_seq = state_seq[1:] + if i == len(state_seqs) - 1: + if state_seq[-2:] == '])': + state_seq = state_seq[:-2] + + try: + domain, slot_values = state_seq.split(']([') + except: + continue + for slot_value in slot_values.split('],['): + try: + slot, value = slot_value.split('][') + except: + continue + state.setdefault(domain, {}) + state[domain][slot] = value + return state + +def equal_state_seq(state, state_seq): + predict_state = deserialize_dialogue_state(state_seq) + svs = sorted([(domain, slot, value) for domain in state for slot, value in state[domain].items() if len(value)>0]) + predict_svs = sorted([(domain, slot, value) for domain in predict_state for slot, value in predict_state[domain].items() if len(value)>0]) + if svs != predict_svs: + return False + return True diff --git a/convlab2/base_models/t5/run_rg.sh b/convlab2/base_models/t5/goal2dialogue/run_goal2dialogue.sh similarity index 75% rename from convlab2/base_models/t5/run_rg.sh rename to convlab2/base_models/t5/goal2dialogue/run_goal2dialogue.sh index 7c72b9c8eb8c20dd4a03e6d5ddcaf62e029300a4..09a2c33aa06fa5134dba0707e1df5e633ac9f269 100644 --- a/convlab2/base_models/t5/run_rg.sh +++ b/convlab2/base_models/t5/goal2dialogue/run_goal2dialogue.sh @@ -1,34 +1,34 @@ -n_gpus=8 -task_name="rg" +n_gpus=1 +task_name="goal2dialogue" dataset_name="multiwoz21" data_dir="data/${task_name}/${dataset_name}" output_dir="output/${task_name}/${dataset_name}" -cache_dir="cache" +cache_dir="../cache" logging_dir="${output_dir}/runs" train_file="${data_dir}/train.json" validation_file="${data_dir}/validation.json" test_file="${data_dir}/test.json" -source_prefix="${data_dir}/source_prefix.txt" -source_column="context" -target_column="response" +source_column="goal" +target_column="dialogue" +max_target_length=1024 model_name_or_path="t5-small" per_device_train_batch_size=32 -per_device_eval_batch_size=128 -gradient_accumulation_steps=1 +per_device_eval_batch_size=64 +gradient_accumulation_steps=4 lr=1e-3 -num_train_epochs=5 +num_train_epochs=10 -python create_data.py --tasks ${task_name} --datasets ${dataset_name} --save_dir "data" +python ../create_data.py --tasks ${task_name} --datasets ${dataset_name} python -m torch.distributed.launch \ - --nproc_per_node ${n_gpus} run_seq2seq.py \ + --nproc_per_node ${n_gpus} ../run_seq2seq.py \ --task_name ${task_name} \ --train_file ${train_file} \ --validation_file ${validation_file} \ --test_file ${test_file} \ --source_column ${source_column} \ --target_column ${target_column} \ - --source_prefix ${source_prefix} \ + --max_target_length ${max_target_length} \ --model_name_or_path ${model_name_or_path} \ --do_train \ --do_eval \ @@ -36,7 +36,7 @@ python -m torch.distributed.launch \ --save_strategy epoch \ --evaluation_strategy epoch \ --load_best_model_at_end \ - --predict_with_generate \ + --prediction_loss_only \ --cache_dir ${cache_dir} \ --output_dir ${output_dir} \ --logging_dir ${logging_dir} \ diff --git a/convlab2/base_models/t5/nlg/merge_predict_res.py b/convlab2/base_models/t5/nlg/merge_predict_res.py new file mode 100755 index 0000000000000000000000000000000000000000..91e6055e13522caa5763c19b0d443b5244cc2496 --- /dev/null +++ b/convlab2/base_models/t5/nlg/merge_predict_res.py @@ -0,0 +1,33 @@ +import json +import os +from convlab2.util import load_dataset, load_nlg_data + + +def merge(dataset_name, speaker, save_dir, context_window_size, predict_result): + assert os.path.exists(predict_result) + dataset = load_dataset(dataset_name) + data = load_nlg_data(dataset, data_split='test', speaker=speaker, use_context=context_window_size>0, context_window_size=context_window_size)['test'] + + if save_dir is None: + save_dir = os.path.dirname(predict_result) + else: + os.makedirs(save_dir, exist_ok=True) + predict_result = [json.loads(x)['predictions'].strip() for x in open(predict_result)] + + for sample, prediction in zip(data, predict_result): + sample['predictions'] = {'utterance': prediction} + + json.dump(data, open(os.path.join(save_dir, 'predictions.json'), 'w', encoding='utf-8'), indent=2, ensure_ascii=False) + + +if __name__ == '__main__': + from argparse import ArgumentParser + parser = ArgumentParser(description="merge predict results with original data for unified NLU evaluation") + parser.add_argument('--dataset', '-d', metavar='dataset_name', type=str, help='name of the unified dataset') + parser.add_argument('--speaker', '-s', type=str, choices=['user', 'system', 'all'], help='speaker(s) of utterances') + parser.add_argument('--save_dir', type=str, help='merged data will be saved as $save_dir/predictions.json. default: on the same directory as predict_result') + parser.add_argument('--context_window_size', '-c', type=int, default=0, help='how many contextual utterances are considered') + parser.add_argument('--predict_result', '-p', type=str, required=True, help='path to the output file generated_predictions.json') + args = parser.parse_args() + print(args) + merge(args.dataset, args.speaker, args.save_dir, args.context_window_size, args.predict_result) diff --git a/convlab2/base_models/t5/nlg/nlg.py b/convlab2/base_models/t5/nlg/nlg.py new file mode 100755 index 0000000000000000000000000000000000000000..378e38809645f66b157caf3e2ee4326b43ce5061 --- /dev/null +++ b/convlab2/base_models/t5/nlg/nlg.py @@ -0,0 +1,136 @@ +import logging +import os +import torch +from transformers import AutoTokenizer, AutoModelForSeq2SeqLM, AutoConfig +from convlab2.nlg.nlg import NLG +from convlab2.base_models.t5.nlu.serialization import serialize_dialogue_acts +from convlab2.util.custom_util import model_downloader + + +class T5NLG(NLG): + def __init__(self, speaker, context_window_size, model_name_or_path, model_file=None, device='cuda'): + assert speaker in ['user', 'system'] + self.speaker = speaker + self.opponent = 'system' if speaker == 'user' else 'user' + self.context_window_size = context_window_size + self.use_context = context_window_size > 0 + + model_dir = os.path.dirname(os.path.abspath(__file__)) + if not os.path.exists(model_name_or_path): + model_downloader(model_dir, model_file) + + self.config = AutoConfig.from_pretrained(model_name_or_path) + self.tokenizer = AutoTokenizer.from_pretrained(model_name_or_path) + self.model = AutoModelForSeq2SeqLM.from_pretrained(model_name_or_path, config=self.config) + self.model.eval() + self.device = device if torch.cuda.is_available() else "cpu" + self.model.to(self.device) + + logging.info("T5NLG loaded") + + def generate(self, dialogue_acts, context=list()): + if self.use_context: + if len(context) > 0 and type(context[0]) is list and len(context[0]) > 1: + context = [item[1] for item in context] + utts = context + [''] + else: + utts = [''] + input_seq = '\n'.join([f"{self.opponent if (i % 2) == (len(utts) % 2) else self.speaker}: {utt}" for i, utt in enumerate(utts)]) + dialogue_acts_seq = serialize_dialogue_acts(dialogue_acts) + input_seq = dialogue_acts_seq + '\n' + input_seq + print(input_seq) + input_seq = self.tokenizer(input_seq, return_tensors="pt").to(self.device) + # print(input_seq) + output_seq = self.model.generate(**input_seq, max_length=256) + # print(output_seq) + output_seq = self.tokenizer.decode(output_seq[0], skip_special_tokens=True) + # print(output_seq) + return output_seq + + +if __name__ == '__main__': + das = [ + { + "categorical": [], + "non-categorical": [], + "binary": [ + { + "intent": "request", + "domain": "taxi", + "slot": "leave at" + }, + { + "intent": "request", + "domain": "taxi", + "slot": "arrive by" + } + ] + }, + { + "categorical": [], + "non-categorical": [ + { + "intent": "inform", + "domain": "taxi", + "slot": "type", + "value": "blue honda", + "start": 38, + "end": 48 + }, + { + "intent": "inform", + "domain": "taxi", + "slot": "phone", + "value": "07218068540", + "start": 67, + "end": 78 + } + ], + "binary": [ + { + "intent": "book", + "domain": "taxi", + "slot": "" + } + ] + }, + { + "categorical": [], + "non-categorical": [], + "binary": [ + { + "intent": "reqmore", + "domain": "general", + "slot": "" + } + ] + }, + { + "categorical": [], + "non-categorical": [], + "binary": [ + { + "intent": "bye", + "domain": "general", + "slot": "" + } + ] + } + ] + contexts = [ + ["I would like a taxi from Saint John's college to Pizza Hut Fen Ditton."], + ["I would like a taxi from Saint John's college to Pizza Hut Fen Ditton.", + "What time do you want to leave and what time do you want to arrive by?", + "I want to leave after 17:15."], + ["I want to leave after 17:15.", + "Booking completed! your taxi will be blue honda Contact number is 07218068540", + "Thank you for all the help! I appreciate it."], + ["Thank you for all the help! I appreciate it.", + "You are welcome. Is there anything else I can help you with today?" + "No, I am all set. Have a nice day. Bye."], + ] + nlg = T5NLG(speaker='system', context_window_size=0, model_name_or_path='output/nlg/multiwoz21/system/context_3') + for da, context in zip(das, contexts): + print(da) + print(nlg.generate(da, context)) + print() diff --git a/convlab2/base_models/t5/nlg/nlg_metric.py b/convlab2/base_models/t5/nlg/nlg_metric.py new file mode 100644 index 0000000000000000000000000000000000000000..0c0155fff3fcd021a2d07c25528e75c4fd912d83 --- /dev/null +++ b/convlab2/base_models/t5/nlg/nlg_metric.py @@ -0,0 +1,80 @@ +# Copyright 2020 The HuggingFace Datasets Authors and the current dataset script contributor. +# +# 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. +"""NLG Metric""" + +import datasets +import sacrebleu + +# TODO: Add BibTeX citation +_CITATION = """\ +@inproceedings{post-2018-call, + title = "A Call for Clarity in Reporting {BLEU} Scores", + author = "Post, Matt", + booktitle = "Proceedings of the Third Conference on Machine Translation: Research Papers", + month = oct, + year = "2018", + address = "Belgium, Brussels", + publisher = "Association for Computational Linguistics", + url = "https://www.aclweb.org/anthology/W18-6319", + pages = "186--191", +} +""" + +_DESCRIPTION = """\ +Metric to evaluate text-to-text models on the natural language generation task. +""" + +_KWARGS_DESCRIPTION = """ +Calculates corpus-bleu4 +Args: + predictions: list of predictions to score. Each predictions + should be a string. + references: list of reference for each prediction. Each + reference should be a string. +Returns: + bleu: corpus-bleu score +Examples: + + >>> nlg_metric = datasets.load_metric("nlg_metric.py") + >>> predictions = ["hello there general kenobi", "foo bar foobar"] + >>> references = ["hello there kenobi", "foo bar foobar"] + >>> results = nlg_metric.compute(predictions=predictions, references=references) + >>> print(results) + {'bleu': 35.35533905932737} +""" + + +@datasets.utils.file_utils.add_start_docstrings(_DESCRIPTION, _KWARGS_DESCRIPTION) +class NLGMetrics(datasets.Metric): + """Metric to evaluate text-to-text models on the natural language generation task.""" + + def _info(self): + return datasets.MetricInfo( + description=_DESCRIPTION, + citation=_CITATION, + inputs_description=_KWARGS_DESCRIPTION, + # This defines the format of each prediction and reference + features=datasets.Features({ + 'predictions': datasets.Value('string'), + 'references': datasets.Value('string'), + }) + ) + + def _compute(self, predictions, references): + """Returns the scores: bleu""" + bleu = sacrebleu.corpus_bleu(predictions, [references], lowercase=True).score + + return { + "bleu": bleu + } diff --git a/convlab2/base_models/t5/nlg/run_nlg.sh b/convlab2/base_models/t5/nlg/run_nlg.sh new file mode 100644 index 0000000000000000000000000000000000000000..c9dc80842f38ed462e4b711d675f1445acefe1ca --- /dev/null +++ b/convlab2/base_models/t5/nlg/run_nlg.sh @@ -0,0 +1,79 @@ +n_gpus=1 +task_name="nlg" +dataset_name=$1 +speaker="system" +context_window_size=$2 +data_dir="data/${task_name}/${dataset_name}/${speaker}/context_${context_window_size}" +output_dir="output/${task_name}/${dataset_name}/${speaker}/context_${context_window_size}" +cache_dir="../cache" +logging_dir="${output_dir}/runs" +train_file="${data_dir}/train.json" +validation_file="${data_dir}/validation.json" +test_file="${data_dir}/test.json" +metric_name_or_path="nlg_metric.py" +metric_for_best_model="bleu" +source_column="context+da" +target_column="response" +truncation_side="right" +max_source_length=512 +max_target_length=512 +model_name_or_path="t5-small" +per_device_train_batch_size=128 +per_device_eval_batch_size=64 +gradient_accumulation_steps=4 +lr=1e-3 +num_train_epochs=10 + +python ../create_data.py -t ${task_name} -d ${dataset_name} -s ${speaker} -c ${context_window_size} + +python ../run_seq2seq.py \ + --task_name ${task_name} \ + --train_file ${train_file} \ + --validation_file ${validation_file} \ + --source_column ${source_column} \ + --target_column ${target_column} \ + --max_source_length ${max_source_length} \ + --max_target_length ${max_target_length} \ + --truncation_side ${truncation_side} \ + --model_name_or_path ${model_name_or_path} \ + --do_train \ + --do_eval \ + --save_strategy epoch \ + --evaluation_strategy epoch \ + --prediction_loss_only \ + --cache_dir ${cache_dir} \ + --output_dir ${output_dir} \ + --logging_dir ${logging_dir} \ + --overwrite_output_dir \ + --preprocessing_num_workers 4 \ + --per_device_train_batch_size ${per_device_train_batch_size} \ + --per_device_eval_batch_size ${per_device_eval_batch_size} \ + --gradient_accumulation_steps ${gradient_accumulation_steps} \ + --learning_rate ${lr} \ + --num_train_epochs ${num_train_epochs} \ + --debug underflow_overflow \ + --adafactor \ + --gradient_checkpointing + +python ../run_seq2seq.py \ + --task_name ${task_name} \ + --test_file ${test_file} \ + --source_column ${source_column} \ + --target_column ${target_column} \ + --max_source_length ${max_source_length} \ + --max_target_length ${max_target_length} \ + --truncation_side ${truncation_side} \ + --model_name_or_path ${output_dir} \ + --do_predict \ + --predict_with_generate \ + --metric_name_or_path ${metric_name_or_path} \ + --cache_dir ${cache_dir} \ + --output_dir ${output_dir} \ + --logging_dir ${logging_dir} \ + --overwrite_output_dir \ + --preprocessing_num_workers 4 \ + --per_device_eval_batch_size ${per_device_eval_batch_size} + +python merge_predict_res.py -d ${dataset_name} -s ${speaker} -c ${context_window_size} -p ${output_dir}/generated_predictions.json + +python ../../../nlg/evaluate_unified_datasets.py -p ${output_dir}/predictions.json diff --git a/convlab2/base_models/t5/nlu/merge_predict_res.py b/convlab2/base_models/t5/nlu/merge_predict_res.py new file mode 100755 index 0000000000000000000000000000000000000000..f3386b210817a6ae26c153776e47324793c70546 --- /dev/null +++ b/convlab2/base_models/t5/nlu/merge_predict_res.py @@ -0,0 +1,34 @@ +import json +import os +from convlab2.util import load_dataset, load_nlu_data +from convlab2.base_models.t5.nlu.serialization import deserialize_dialogue_acts + + +def merge(dataset_name, speaker, save_dir, context_window_size, predict_result): + assert os.path.exists(predict_result) + dataset = load_dataset(dataset_name) + data = load_nlu_data(dataset, data_split='test', speaker=speaker, use_context=context_window_size>0, context_window_size=context_window_size)['test'] + + if save_dir is None: + save_dir = os.path.dirname(predict_result) + else: + os.makedirs(save_dir, exist_ok=True) + predict_result = [deserialize_dialogue_acts(json.loads(x)['predictions'].strip()) for x in open(predict_result)] + + for sample, prediction in zip(data, predict_result): + sample['predictions'] = {'dialogue_acts': prediction} + + json.dump(data, open(os.path.join(save_dir, 'predictions.json'), 'w', encoding='utf-8'), indent=2, ensure_ascii=False) + + +if __name__ == '__main__': + from argparse import ArgumentParser + parser = ArgumentParser(description="merge predict results with original data for unified NLU evaluation") + parser.add_argument('--dataset', '-d', metavar='dataset_name', type=str, help='name of the unified dataset') + parser.add_argument('--speaker', '-s', type=str, choices=['user', 'system', 'all'], help='speaker(s) of utterances') + parser.add_argument('--save_dir', type=str, help='merged data will be saved as $save_dir/predictions.json. default: on the same directory as predict_result') + parser.add_argument('--context_window_size', '-c', type=int, default=0, help='how many contextual utterances are considered') + parser.add_argument('--predict_result', '-p', type=str, required=True, help='path to the output file generated_predictions.json') + args = parser.parse_args() + print(args) + merge(args.dataset, args.speaker, args.save_dir, args.context_window_size, args.predict_result) diff --git a/convlab2/base_models/t5/nlu/nlu.py b/convlab2/base_models/t5/nlu/nlu.py new file mode 100755 index 0000000000000000000000000000000000000000..3d9b77c4b83c70f5d0a58345eb0f6e8bd61c3c45 --- /dev/null +++ b/convlab2/base_models/t5/nlu/nlu.py @@ -0,0 +1,77 @@ +import logging +import os +import torch +from transformers import AutoTokenizer, AutoModelForSeq2SeqLM, AutoConfig +from convlab2.nlu.nlu import NLU +from convlab2.base_models.t5.nlu.serialization import deserialize_dialogue_acts +from convlab2.util.custom_util import model_downloader + + +class T5NLU(NLU): + def __init__(self, speaker, context_window_size, model_name_or_path, model_file=None, device='cuda'): + assert speaker in ['user', 'system'] + self.speaker = speaker + self.opponent = 'system' if speaker == 'user' else 'user' + self.context_window_size = context_window_size + self.use_context = context_window_size > 0 + + model_dir = os.path.dirname(os.path.abspath(__file__)) + if not os.path.exists(model_name_or_path): + model_downloader(model_dir, model_file) + + self.config = AutoConfig.from_pretrained(model_name_or_path) + self.tokenizer = AutoTokenizer.from_pretrained(model_name_or_path) + self.model = AutoModelForSeq2SeqLM.from_pretrained(model_name_or_path, config=self.config) + self.model.eval() + self.device = device if torch.cuda.is_available() else "cpu" + self.model.to(self.device) + + logging.info("T5NLU loaded") + + def predict(self, utterance, context=list()): + if self.use_context: + if len(context) > 0 and type(context[0]) is list and len(context[0]) > 1: + context = [item[1] for item in context] + utts = context + [utterance] + else: + utts = [utterance] + input_seq = '\n'.join([f"{self.opponent if (i % 2) == (len(utts) % 2) else self.speaker}: {utt}" for i, utt in enumerate(utts)]) + # print(input_seq) + input_seq = self.tokenizer(input_seq, return_tensors="pt").to(self.device) + # print(input_seq) + output_seq = self.model.generate(**input_seq, max_length=256) + # print(output_seq) + output_seq = self.tokenizer.decode(output_seq[0], skip_special_tokens=True) + # print(output_seq) + dialogue_acts = deserialize_dialogue_acts(output_seq.strip()) + return dialogue_acts + + +if __name__ == '__main__': + texts = [ + "I would like a taxi from Saint John's college to Pizza Hut Fen Ditton.", + "I want to leave after 17:15.", + "Thank you for all the help! I appreciate it.", + "Please find a restaurant called Nusha.", + "I am not sure of the type of food but could you please check again and see if you can find it? Thank you.", + "It's not a restaurant, it's an attraction. Nusha." + ] + contexts = [ + [], + ["I would like a taxi from Saint John's college to Pizza Hut Fen Ditton.", + "What time do you want to leave and what time do you want to arrive by?"], + ["What time do you want to leave and what time do you want to arrive by?", + "I want to leave after 17:15.", + "Booking completed! your taxi will be blue honda Contact number is 07218068540"], + [], + ["Please find a restaurant called Nusha.", + "I don't seem to be finding anything called Nusha. What type of food does the restaurant serve?"], + ["I don't seem to be finding anything called Nusha. What type of food does the restaurant serve?", + "I am not sure of the type of food but could you please check again and see if you can find it? Thank you.", + "Could you double check that you've spelled the name correctly? The closest I can find is Nandos."] + ] + nlu = T5NLU(speaker='user', context_window_size=3, model_name_or_path='output/nlu/multiwoz21/user/context_3') + for text, context in zip(texts, contexts): + print(text) + print(nlu.predict(text, context)) + print() diff --git a/convlab2/base_models/t5/nlu/nlu_metric.py b/convlab2/base_models/t5/nlu/nlu_metric.py new file mode 100644 index 0000000000000000000000000000000000000000..d337887201e683eebb5bfa932714e2ee4e2cfae2 --- /dev/null +++ b/convlab2/base_models/t5/nlu/nlu_metric.py @@ -0,0 +1,103 @@ +# Copyright 2020 The HuggingFace Datasets Authors and the current dataset script contributor. +# +# 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. +"""NLU Metric""" + +import datasets +from convlab2.base_models.t5.nlu.serialization import deserialize_dialogue_acts + + +# TODO: Add BibTeX citation +_CITATION = """\ +""" + +_DESCRIPTION = """\ +Metric to evaluate text-to-text models on the natural language understanding task. +""" + +_KWARGS_DESCRIPTION = """ +Calculates sequence exact match, dialog acts accuracy and f1 +Args: + predictions: list of predictions to score. Each predictions + should be a string. + references: list of reference for each prediction. Each + reference should be a string. +Returns: + seq_em: sequence exact match + accuracy: dialog acts accuracy + overall_f1: dialog acts overall f1 +Examples: + + >>> nlu_metric = datasets.load_metric("nlu_metric.py") + >>> predictions = ["[thank][general]{[][]}", "[inform][taxi]{[leave at][17:15]}"] + >>> references = ["[thank][general]{[][]}", "[inform][train]{[leave at][17:15]}"] + >>> results = nlu_metric.compute(predictions=predictions, references=references) + >>> print(results) + {'seq_em': 0.5, 'accuracy': 0.5, + 'overall_f1': 0.5, 'overall_precision': 0.5, 'overall_recall': 0.5} +""" + + +@datasets.utils.file_utils.add_start_docstrings(_DESCRIPTION, _KWARGS_DESCRIPTION) +class NLUMetrics(datasets.Metric): + """Metric to evaluate text-to-text models on the natural language understanding task.""" + + def _info(self): + return datasets.MetricInfo( + description=_DESCRIPTION, + citation=_CITATION, + inputs_description=_KWARGS_DESCRIPTION, + # This defines the format of each prediction and reference + features=datasets.Features({ + 'predictions': datasets.Value('string'), + 'references': datasets.Value('string'), + }) + ) + + def _compute(self, predictions, references): + """Returns the scores: sequence exact match, dialog acts accuracy and f1""" + seq_em = [] + acc = [] + f1_metrics = {'TP':0, 'FP':0, 'FN':0} + + for prediction, reference in zip(predictions, references): + seq_em.append(prediction.strip()==reference.strip()) + pred_da = deserialize_dialogue_acts(prediction) + gold_da = deserialize_dialogue_acts(reference) + pred_da = sorted(list({(da['intent'], da['domain'], da['slot'], ''.join(da.get('value', '').split()).lower()) for da in pred_da})) + gold_da = sorted(list({(da['intent'], da['domain'], da['slot'], ''.join(da.get('value', '').split()).lower()) for da in gold_da})) + acc.append(pred_da==gold_da) + for ele in pred_da: + if ele in gold_da: + f1_metrics['TP'] += 1 + else: + f1_metrics['FP'] += 1 + for ele in gold_da: + if ele not in pred_da: + f1_metrics['FN'] += 1 + + TP = f1_metrics.pop('TP') + FP = f1_metrics.pop('FP') + FN = f1_metrics.pop('FN') + precision = 1.0 * TP / (TP + FP) if TP + FP else 0. + recall = 1.0 * TP / (TP + FN) if TP + FN else 0. + f1 = 2.0 * precision * recall / (precision + recall) if precision + recall else 0. + f1_metrics[f'overall_f1'] = f1 + f1_metrics[f'overall_precision'] = precision + f1_metrics[f'overall_recall'] = recall + + return { + "seq_em": sum(seq_em)/len(seq_em), + "accuracy": sum(acc)/len(acc), + **f1_metrics + } diff --git a/convlab2/base_models/t5/nlu/run_nlu.sh b/convlab2/base_models/t5/nlu/run_nlu.sh new file mode 100644 index 0000000000000000000000000000000000000000..71b5f5f8e488b2c44e76637cc0152b8ff9db8671 --- /dev/null +++ b/convlab2/base_models/t5/nlu/run_nlu.sh @@ -0,0 +1,79 @@ +n_gpus=1 +task_name="nlu" +dataset_name=$1 +speaker="user" +context_window_size=$2 +data_dir="data/${task_name}/${dataset_name}/${speaker}/context_${context_window_size}" +output_dir="output/${task_name}/${dataset_name}/${speaker}/context_${context_window_size}" +cache_dir="../cache" +logging_dir="${output_dir}/runs" +train_file="${data_dir}/train.json" +validation_file="${data_dir}/validation.json" +test_file="${data_dir}/test.json" +metric_name_or_path="nlu_metric.py" +metric_for_best_model="overall_f1" +source_column="context" +target_column="dialogue_acts_seq" +truncation_side="left" +max_source_length=512 +max_target_length=512 +model_name_or_path="t5-small" +per_device_train_batch_size=128 +per_device_eval_batch_size=64 +gradient_accumulation_steps=2 +lr=1e-3 +num_train_epochs=10 + +python ../create_data.py -t ${task_name} -d ${dataset_name} -s ${speaker} -c ${context_window_size} + +python ../run_seq2seq.py \ + --task_name ${task_name} \ + --train_file ${train_file} \ + --validation_file ${validation_file} \ + --source_column ${source_column} \ + --target_column ${target_column} \ + --max_source_length ${max_source_length} \ + --max_target_length ${max_target_length} \ + --truncation_side ${truncation_side} \ + --model_name_or_path ${model_name_or_path} \ + --do_train \ + --do_eval \ + --save_strategy epoch \ + --evaluation_strategy epoch \ + --prediction_loss_only \ + --cache_dir ${cache_dir} \ + --output_dir ${output_dir} \ + --logging_dir ${logging_dir} \ + --overwrite_output_dir \ + --preprocessing_num_workers 4 \ + --per_device_train_batch_size ${per_device_train_batch_size} \ + --per_device_eval_batch_size ${per_device_eval_batch_size} \ + --gradient_accumulation_steps ${gradient_accumulation_steps} \ + --learning_rate ${lr} \ + --num_train_epochs ${num_train_epochs} \ + --debug underflow_overflow \ + --adafactor \ + --gradient_checkpointing + +python ../run_seq2seq.py \ + --task_name ${task_name} \ + --test_file ${test_file} \ + --source_column ${source_column} \ + --target_column ${target_column} \ + --max_source_length ${max_source_length} \ + --max_target_length ${max_target_length} \ + --truncation_side ${truncation_side} \ + --model_name_or_path ${output_dir} \ + --do_predict \ + --predict_with_generate \ + --metric_name_or_path ${metric_name_or_path} \ + --cache_dir ${cache_dir} \ + --output_dir ${output_dir} \ + --logging_dir ${logging_dir} \ + --overwrite_output_dir \ + --preprocessing_num_workers 4 \ + --per_device_eval_batch_size ${per_device_eval_batch_size} + +python merge_predict_res.py -d ${dataset_name} -s ${speaker} -c ${context_window_size} -p ${output_dir}/generated_predictions.json + +python ../../../nlu/evaluate_unified_datasets.py -p ${output_dir}/predictions.json diff --git a/convlab2/base_models/t5/nlu/serialization.py b/convlab2/base_models/t5/nlu/serialization.py new file mode 100644 index 0000000000000000000000000000000000000000..bb1a8b88b81ca23e97271c9bae211fbfd775149b --- /dev/null +++ b/convlab2/base_models/t5/nlu/serialization.py @@ -0,0 +1,46 @@ +def serialize_dialogue_acts(dialogue_acts): + da_dict = {} + for da_type in dialogue_acts: + for da in dialogue_acts[da_type]: + intent, domain, slot, value = da['intent'], da['domain'], da['slot'], da.get('value', '') + intent_domain = f'[{intent}][{domain}]' + da_dict.setdefault(intent_domain, []) + da_dict[intent_domain].append(f'[{slot}][{value}]') + return ';'.join([intent_domain+'('+','.join(slot_values)+')' for intent_domain, slot_values in da_dict.items()]) + +def deserialize_dialogue_acts(das_seq): + dialogue_acts = [] + if len(das_seq) == 0: + return dialogue_acts + da_seqs = das_seq.split(']);[') # will consume "])" and "[" + for i, da_seq in enumerate(da_seqs): + if len(da_seq) == 0 or len(da_seq.split(']([')) != 2: + continue + if i == 0: + if da_seq[0] == '[': + da_seq = da_seq[1:] + if i == len(da_seqs) - 1: + if da_seq[-2:] == '])': + da_seq = da_seq[:-2] + + try: + intent_domain, slot_values = da_seq.split(']([') + intent, domain = intent_domain.split('][') + except: + continue + for slot_value in slot_values.split('],['): + try: + slot, value = slot_value.split('][') + except: + continue + dialogue_acts.append({'intent': intent, 'domain': domain, 'slot': slot, 'value': value}) + + return dialogue_acts + +def equal_da_seq(dialogue_acts, das_seq): + predict_dialogue_acts = deserialize_dialogue_acts(das_seq) + das = sorted([(da['intent'], da['domain'], da['slot'], da.get('value', '')) for da_type in ['binary', 'categorical', 'non-categorical'] for da in dialogue_acts[da_type]]) + predict_das = sorted([(da['intent'], da['domain'], da['slot'], da.get('value', '')) for da in predict_dialogue_acts]) + if das != predict_das: + return False + return True diff --git a/convlab2/base_models/t5/rg/run_rg.sh b/convlab2/base_models/t5/rg/run_rg.sh new file mode 100644 index 0000000000000000000000000000000000000000..6fcffca23995db20fab4d581fe350b5d47894882 --- /dev/null +++ b/convlab2/base_models/t5/rg/run_rg.sh @@ -0,0 +1,69 @@ +set -e +n_gpus=2 +task_name="rg" +dataset_name="metalwoz+sgd+tm1+tm2+tm3" +speaker="all" +data_dir="data/${task_name}/${dataset_name}/${speaker}" +output_dir="output/${task_name}/${dataset_name}/${speaker}" +cache_dir="../cache" +logging_dir="${output_dir}/runs" +train_file="${data_dir}/train.json" +validation_file="${data_dir}/validation.json" +test_file="${data_dir}/test.json" +source_column="context" +target_column="response" +truncation_side="left" +max_source_length=512 +max_target_length=128 +model_name_or_path="t5-small" +per_device_train_batch_size=128 +per_device_eval_batch_size=128 +gradient_accumulation_steps=4 +lr=1e-3 +num_train_epochs=5 + +names=$(echo ${dataset_name} | tr "+" "\n") +mkdir -p ${data_dir} +for name in ${names}; +do + echo "preprocessing ${name}" + python ../create_data.py --tasks ${task_name} --datasets ${name} --speaker ${speaker} + if [ "${name}" != "${dataset_name}" ]; then + cat "data/${task_name}/${name}/${speaker}/train.json" >> ${train_file} + cat "data/${task_name}/${name}/${speaker}/validation.json" >> ${validation_file} + cat "data/${task_name}/${name}/${speaker}/test.json" >> ${test_file} + fi +done + +python -m torch.distributed.launch \ + --nproc_per_node ${n_gpus} ../run_seq2seq.py \ + --task_name ${task_name} \ + --train_file ${train_file} \ + --validation_file ${validation_file} \ + --test_file ${test_file} \ + --source_column ${source_column} \ + --target_column ${target_column} \ + --max_source_length ${max_source_length} \ + --max_target_length ${max_target_length} \ + --truncation_side ${truncation_side} \ + --model_name_or_path ${model_name_or_path} \ + --do_train \ + --do_eval \ + --do_predict \ + --save_strategy epoch \ + --evaluation_strategy epoch \ + --load_best_model_at_end \ + --prediction_loss_only \ + --cache_dir ${cache_dir} \ + --output_dir ${output_dir} \ + --logging_dir ${logging_dir} \ + --overwrite_output_dir \ + --preprocessing_num_workers 4 \ + --per_device_train_batch_size ${per_device_train_batch_size} \ + --per_device_eval_batch_size ${per_device_eval_batch_size} \ + --gradient_accumulation_steps ${gradient_accumulation_steps} \ + --learning_rate ${lr} \ + --num_train_epochs ${num_train_epochs} \ + --debug underflow_overflow \ + --adafactor \ + --gradient_checkpointing diff --git a/convlab2/base_models/t5/run_seq2seq.py b/convlab2/base_models/t5/run_seq2seq.py index aaef4470845bb400fed28ecab1ef164ffa37d4b2..2f0f5481243c2f78eac4d352786482508f70e617 100644 --- a/convlab2/base_models/t5/run_seq2seq.py +++ b/convlab2/base_models/t5/run_seq2seq.py @@ -28,7 +28,7 @@ from typing import Optional import datasets import numpy as np -from datasets import load_dataset +from datasets import load_dataset, load_metric import transformers from transformers import ( @@ -47,7 +47,7 @@ from transformers.utils.versions import require_version # Will error if the minimal version of Transformers is not installed. Remove at your own risks. -check_min_version("4.12.5") +check_min_version("4.17.0") require_version("datasets>=1.16.1") @@ -78,6 +78,10 @@ class ModelArguments: default=True, metadata={"help": "Whether to use one of the fast tokenizer (backed by the tokenizers library) or not."}, ) + truncation_side: Optional[str] = field( + default="right", + metadata={"help": "Which side to truncate, left or right."} + ) model_revision: str = field( default="main", metadata={"help": "The specific model version to use (can be a branch name, tag name or commit id)."}, @@ -137,6 +141,12 @@ class DataTrainingArguments: "help": "An optional input test data file to evaluate the metrics on (a jsonlines or csv file)." }, ) + metric_name_or_path: Optional[str] = field( + default=None, + metadata={ + "help": "An optional metric name or file to evaluate the model." + }, + ) overwrite_cache: bool = field( default=False, metadata={"help": "Overwrite the cached training and evaluation sets"} ) @@ -196,21 +206,14 @@ class DataTrainingArguments: "value if set." }, ) - num_beams: Optional[int] = field( - default=None, - metadata={ - "help": "Number of beams to use for evaluation. This argument will be passed to ``model.generate``, " - "which is used during ``evaluate`` and ``predict``." - }, - ) ignore_pad_token_for_loss: bool = field( default=True, metadata={ "help": "Whether to ignore the tokens corresponding to padded labels in the loss computation or not." }, ) - source_prefix_filepath: Optional[str] = field( - default=None, metadata={"help": "A file whose first line is the prefix to add before every source text (useful for T5 models)."} + source_prefix: Optional[str] = field( + default=None, metadata={"help": "A prefix to add before every source text (useful for T5 models)."} ) def __post_init__(self): @@ -268,7 +271,7 @@ def main(): ) logger.info(f"Training/evaluation parameters {training_args}") - if data_args.source_prefix_filepath is None and model_args.model_name_or_path in [ + if data_args.source_prefix is None and model_args.model_name_or_path in [ "t5-small", "t5-base", "t5-large", @@ -277,7 +280,7 @@ def main(): ]: logger.warning( "You're running a t5 model but didn't provide a source prefix, which is the expected, e.g. with " - "`--source_prefix_filepath 'path_to_prefix_file' ` whose first line is the source prefix" + "`--source_prefix 'summarize: ' `" ) # Detecting last checkpoint. @@ -342,6 +345,7 @@ def main(): model_args.tokenizer_name if model_args.tokenizer_name else model_args.model_name_or_path, cache_dir=model_args.cache_dir, use_fast=model_args.use_fast_tokenizer, + truncation_side=model_args.truncation_side, revision=model_args.model_revision, use_auth_token=True if model_args.use_auth_token else None, ) @@ -382,11 +386,9 @@ def main(): "resize the model's position encodings by passing `--resize_position_embeddings`." ) - if data_args.source_prefix_filepath is not None: - prefix = open(data_args.source_prefix_filepath, 'r', encoding='utf-8').readline().strip() - else: - prefix = "" + prefix = data_args.source_prefix if data_args.source_prefix is not None else "" + logger.info(f'source prefix: "{prefix}"') # Preprocessing the datasets. # We need to tokenize inputs and targets. @@ -513,7 +515,9 @@ def main(): pad_to_multiple_of=8 if training_args.fp16 else None, ) - # TODO: compute custom metric at evaluation. + # compute custom metric at evaluation. + if data_args.metric_name_or_path: + metric = load_metric(data_args.metric_name_or_path) # Must take a EvalPrediction and return a dictionary string to metric values. def compute_metrics(p: EvalPrediction): preds, labels = p.predictions, p.label_ids @@ -525,14 +529,20 @@ def main(): labels = np.where(labels != -100, labels, tokenizer.pad_token_id) decoded_labels = tokenizer.batch_decode(labels, skip_special_tokens=True) - # TODO: compute metric using decoded_preds & decoded_labels - result = {} + # compute metric using decoded_preds & decoded_labels + if data_args.metric_name_or_path: + result = metric.compute(predictions=decoded_preds, references=decoded_labels) + else: + result = {} prediction_lens = [np.count_nonzero(pred != tokenizer.pad_token_id) for pred in preds] result["gen_len"] = np.mean(prediction_lens) result = {k: round(v, 4) for k, v in result.items()} return result + if training_args.generation_max_length is None: + training_args.generation_max_length = data_args.val_max_target_length + # Initialize our Trainer trainer = Seq2SeqTrainer( model=model, @@ -565,16 +575,9 @@ def main(): trainer.save_state() # Evaluation - results = {} - max_length = ( - training_args.generation_max_length - if training_args.generation_max_length is not None - else data_args.val_max_target_length - ) - num_beams = data_args.num_beams if data_args.num_beams is not None else training_args.generation_num_beams if training_args.do_eval: logger.info("*** Evaluate ***") - metrics = trainer.evaluate(max_length=max_length, num_beams=num_beams, metric_key_prefix="eval") + metrics = trainer.evaluate(metric_key_prefix="eval") max_eval_samples = data_args.max_eval_samples if data_args.max_eval_samples is not None else len(eval_dataset) metrics["eval_samples"] = min(max_eval_samples, len(eval_dataset)) @@ -584,10 +587,7 @@ def main(): # Predict if training_args.do_predict: logger.info("*** Predict ***") - - predict_results = trainer.predict( - predict_dataset, metric_key_prefix="predict", max_length=max_length, num_beams=num_beams - ) + predict_results = trainer.predict(predict_dataset, metric_key_prefix="predict") metrics = predict_results.metrics max_predict_samples = ( data_args.max_predict_samples if data_args.max_predict_samples is not None else len(predict_dataset) @@ -623,8 +623,6 @@ def main(): else: trainer.create_model_card(**kwargs) - return results - def _mp_fn(index): # For xla_spawn (TPUs) diff --git a/convlab2/dialog_agent/agent.py b/convlab2/dialog_agent/agent.py index 2feed5ad6e0aebe0fea218d3801c9b1a150aea6f..a937957400e17c95e18df095fe0277d9d228d4e8 100755 --- a/convlab2/dialog_agent/agent.py +++ b/convlab2/dialog_agent/agent.py @@ -99,7 +99,6 @@ class PipelineAgent(Agent): self.agent_saves = [] self.history = [] self.turn = 0 - self.cur_domain = None #logging.info("Pipeline Agent info_dict check") if hasattr(self.nlu, 'info_dict') == False: @@ -184,20 +183,11 @@ class PipelineAgent(Agent): self.dst.state['history'].append([self.name, model_response]) if self.name == 'sys': self.dst.state['system_action'] = self.output_action - # If system takes booking action add booking info to the 'book-booked' section of the belief state - if type(self.input_action) != list: - self.input_action = self.dst.state['user_action'] - if type(self.input_action) == list: - for intent, domain, slot, value in self.input_action: - if domain.lower() not in ['booking', 'general']: - self.cur_domain = domain if type(self.output_action) == list: for intent, domain, slot, value in self.output_action: - if domain.lower() not in ['general', 'booking']: - self.cur_domain = domain if intent == "book": - self.dst.state['belief_state'][domain.lower()]['book']['booked'] = [{slot.lower(): value}] + self.dst.state['booked'][domain] = [{slot: value}] else: self.dst.state['user_action'] = self.output_action # user dst is also updated by itself @@ -244,7 +234,6 @@ class PipelineAgent(Agent): def init_session(self, **kwargs): """Init the attributes of DST and Policy module.""" - self.cur_domain = None if self.nlu is not None: self.nlu.init_session() if self.dst is not None: @@ -328,7 +317,6 @@ class DialogueAgent(Agent): "user_id": None, "timestamp": None, "dialogue_info": [], "dialogue_info_fundamental": []} self.initTime = int(time.time()) self.lastUpdate = int(time.time()) - self.cur_domain = None logging.info("Dialogue Agent info_dict check") if not hasattr(self.nlu, 'info_dict'): @@ -401,16 +389,8 @@ class DialogueAgent(Agent): # If system takes booking action add booking info to the 'book-booked' section of the belief state if type(self.output_action) == list: for intent, domain, slot, value in self.output_action: - if domain.lower() not in ['general', 'booking']: - self.cur_domain = domain - dial_act = f'{domain.lower()}-{intent.lower()}-{slot.lower()}' - if dial_act == 'booking-book-ref' and self.cur_domain.lower() in ['hotel', 'restaurant', 'train']: - if self.cur_domain: - self.dst.state['belief_state'][self.cur_domain.lower()]['book']['booked'] = [{slot.lower():value}] - elif dial_act == 'train-offerbooked-ref' or dial_act == 'train-inform-ref': - self.dst.state['belief_state']['train']['book']['booked'] = [{slot.lower():value}] - elif dial_act == 'taxi-inform-car': - self.dst.state['belief_state']['taxi']['book']['booked'] = [{slot.lower():value}] + if intent == "book": + self.dst.state['booked'][domain] = [{slot: value}] self.history.append([self.name, model_response]) self.turn += 1 @@ -454,7 +434,6 @@ class DialogueAgent(Agent): def init_session(self): """Init the attributes of DST and Policy module.""" - self.cur_domain = None if self.nlu is not None: self.nlu.init_session() if self.dst is not None: diff --git a/convlab2/dialog_agent/env.py b/convlab2/dialog_agent/env.py index 331737b075bf121b71f9134c4f9c8595efb057ac..dc345786ab154d028e1c569a347fabcc9c5a5def 100755 --- a/convlab2/dialog_agent/env.py +++ b/convlab2/dialog_agent/env.py @@ -17,12 +17,10 @@ class Environment(): self.sys_dst = sys_dst self.evaluator = evaluator self.use_semantic_acts = use_semantic_acts - self.cur_domain = None def reset(self): self.usr.init_session() self.sys_dst.init_session() - self.cur_domain = None if self.evaluator: self.evaluator.add_goal(self.usr.policy.get_goal()) s, r, t = self.step([]) @@ -37,16 +35,8 @@ class Environment(): # If system takes booking action add booking info to the 'book-booked' section of the belief state if type(action) == list: for intent, domain, slot, value in action: - if domain.lower() not in ['general', 'booking']: - self.cur_domain = domain - dial_act = f'{domain.lower()}-{intent.lower()}-{slot.lower()}' - if dial_act == 'booking-book-ref' and self.cur_domain.lower() in ['hotel', 'restaurant', 'train']: - if self.cur_domain: - self.sys_dst.state['belief_state'][self.cur_domain.lower()]['book']['booked'] = [{slot.lower():value}] - elif dial_act == 'train-offerbooked-ref' or dial_act == 'train-inform-ref': - self.sys_dst.state['belief_state']['train']['book']['booked'] = [{slot.lower():value}] - elif dial_act == 'taxi-inform-car': - self.sys_dst.state['belief_state']['taxi']['book']['booked'] = [{slot.lower():value}] + if intent == "book": + self.sys_dst.state['booked'][domain] = [{slot: value}] observation = self.usr.response(model_response) if self.evaluator: @@ -59,11 +49,6 @@ class Environment(): state = self.sys_dst.update(dialog_act) dialog_act = self.sys_dst.state['user_action'] - if type(dialog_act) == list: - for intent, domain, slot, value in dialog_act: - if domain.lower() not in ['booking', 'general']: - self.cur_domain = domain - state['history'].append(["sys", model_response]) state['history'].append(["usr", observation]) diff --git a/convlab2/dst/evaluate_unified_datasets.py b/convlab2/dst/evaluate_unified_datasets.py new file mode 100644 index 0000000000000000000000000000000000000000..78d0db4adf2ff1a84ae2b9175b5d8744628fa57b --- /dev/null +++ b/convlab2/dst/evaluate_unified_datasets.py @@ -0,0 +1,50 @@ +import json +from pprint import pprint + + +def evaluate(predict_result): + predict_result = json.load(open(predict_result)) + + metrics = {'TP':0, 'FP':0, 'FN':0} + acc = [] + + for sample in predict_result: + pred_state = sample['predictions']['state'] + gold_state = sample['state'] + predicts = sorted(list({(domain, slot, ''.join(value.split()).lower()) for domain in pred_state for slot, value in pred_state[domain].items() if len(value)>0})) + labels = sorted(list({(domain, slot, ''.join(value.split()).lower()) for domain in gold_state for slot, value in gold_state[domain].items() if len(value)>0})) + + flag = True + for ele in predicts: + if ele in labels: + metrics['TP'] += 1 + else: + metrics['FP'] += 1 + for ele in labels: + if ele not in predicts: + metrics['FN'] += 1 + flag &= (predicts==labels) + acc.append(flag) + + TP = metrics.pop('TP') + FP = metrics.pop('FP') + FN = metrics.pop('FN') + precision = 1.0 * TP / (TP + FP) if TP + FP else 0. + recall = 1.0 * TP / (TP + FN) if TP + FN else 0. + f1 = 2.0 * precision * recall / (precision + recall) if precision + recall else 0. + metrics[f'slot_f1'] = f1 + metrics[f'slot_precision'] = precision + metrics[f'slot_recall'] = recall + metrics['accuracy'] = sum(acc)/len(acc) + + return metrics + + +if __name__ == '__main__': + from argparse import ArgumentParser + parser = ArgumentParser(description="calculate DST metrics for unified datasets") + parser.add_argument('--predict_result', '-p', type=str, required=True, help='path to the prediction file that in the unified data format') + args = parser.parse_args() + print(args) + metrics = evaluate(args.predict_result) + pprint(metrics) diff --git a/convlab2/dst/rule/multiwoz/dst.py b/convlab2/dst/rule/multiwoz/dst.py index 3974ab848f47a70455c9d1a80f3f14baafcea17e..a8602a7c249eac1b627fcbe851136d486850bed9 100755 --- a/convlab2/dst/rule/multiwoz/dst.py +++ b/convlab2/dst/rule/multiwoz/dst.py @@ -1,10 +1,11 @@ import json import os +from copy import deepcopy +from convlab2.util import load_ontology from convlab2.util.multiwoz.state import default_state from convlab2.dst.rule.multiwoz.dst_util import normalize_value from convlab2.dst.dst import DST -from convlab2.util.multiwoz.multiwoz_slot_trans import REF_SYS_DA class RuleDST(DST): @@ -17,9 +18,12 @@ class RuleDST(DST): It helps check whether ``user_act`` has correct content. """ - def __init__(self): + def __init__(self, dataset_name='multiwoz21'): DST.__init__(self) + self.ontology = load_ontology(dataset_name) self.state = default_state() + self.default_belief_state = deepcopy(self.ontology['state']) + self.state['belief_state'] = deepcopy(self.default_belief_state) path = os.path.dirname( os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__)))))) path = os.path.join(path, 'data/multiwoz/value_dict.json') @@ -31,52 +35,33 @@ class RuleDST(DST): :param user_act: :return: """ - #print("dst", user_act) for intent, domain, slot, value in user_act: - domain = domain.lower() - intent = intent.lower() - if domain in ['unk', 'general', 'booking']: + if domain not in self.state['belief_state']: continue if intent == 'inform': - k = REF_SYS_DA[domain.capitalize()].get(slot, slot) - if k is None: + if slot == 'none' or slot == '': continue - try: - assert domain in self.state['belief_state'] - except: - raise Exception( - 'Error: domain <{}> not in new belief state'.format(domain)) domain_dic = self.state['belief_state'][domain] - assert 'semi' in domain_dic - assert 'book' in domain_dic - if k in domain_dic['semi']: - nvalue = normalize_value(self.value_dict, domain, k, value) - self.state['belief_state'][domain]['semi'][k] = nvalue - elif k in domain_dic['book']: - self.state['belief_state'][domain]['book'][k] = value - elif k.lower() in domain_dic['book']: - self.state['belief_state'][domain]['book'][k.lower() - ] = value - elif k == 'trainID' and domain == 'train': - self.state['belief_state'][domain]['book'][k] = normalize_value(self.value_dict, domain, k, value) - elif k != 'none': + if slot in domain_dic: + nvalue = normalize_value(self.value_dict, domain, slot, value) + self.state['belief_state'][domain][slot] = nvalue + elif slot != 'none' or slot != '': # raise Exception('unknown slot name <{}> of domain <{}>'.format(k, domain)) with open('unknown_slot.log', 'a+') as f: f.write( - 'unknown slot name <{}> of domain <{}>\n'.format(k, domain)) + 'unknown slot name <{}> of domain <{}>\n'.format(slot, domain)) elif intent == 'request': - k = REF_SYS_DA[domain.capitalize()].get(slot, slot) if domain not in self.state['request_state']: self.state['request_state'][domain] = {} - if k not in self.state['request_state'][domain]: - self.state['request_state'][domain][k] = 0 + if slot not in self.state['request_state'][domain]: + self.state['request_state'][domain][slot] = 0 # self.state['user_action'] = user_act # should be added outside DST module return self.state def init_session(self): """Initialize ``self.state`` with a default state, which ``convlab2.util.multiwoz.state.default_state`` returns.""" self.state = default_state() - + self.state['belief_state'] = deepcopy(self.default_belief_state) if __name__ == '__main__': # from convlab2.dst.rule.multiwoz import RuleDST diff --git a/convlab2/evaluator/multiwoz_eval.py b/convlab2/evaluator/multiwoz_eval.py index 0ec4aeedee5b9bdec736bc05cf490898959cff59..d5b5cd67ae3d3b3081b63daaea0ef6e0ea8666e6 100755 --- a/convlab2/evaluator/multiwoz_eval.py +++ b/convlab2/evaluator/multiwoz_eval.py @@ -4,9 +4,10 @@ import logging import re import numpy as np from copy import deepcopy -from pprint import pprint from convlab2.evaluator.evaluator import Evaluator +from convlab2.policy.rule.multiwoz.policy_agenda_multiwoz import unified_format, act_dict_to_flat_tuple from convlab2.util.multiwoz.dbquery import Database +from data.unified_datasets.multiwoz21.preprocess import reverse_da requestable = \ {'attraction': ['post', 'phone', 'addr', 'fee', 'area', 'type'], @@ -95,13 +96,20 @@ class MultiWozEvaluator(Evaluator): self.booked_states = self._init_dict_booked() self.successful_domains = [] - def add_sys_da(self, da_turn, belief_state): + def add_sys_da(self, da_turn, belief_state=None): """add sys_da into array args: da_turn: list[intent, domain, slot, value] """ + + sys_dialog_act = da_turn + sys_dialog_act = unified_format(sys_dialog_act) + sys_dialog_act = reverse_da(sys_dialog_act) + sys_dialog_act = act_dict_to_flat_tuple(sys_dialog_act) + da_turn = sys_dialog_act + for intent, domain, slot, value in da_turn: dom_int = '-'.join([domain, intent]) domain = dom_int.split('-')[0].lower() @@ -122,7 +130,10 @@ class MultiWozEvaluator(Evaluator): len(self.dbs[domain]) > int(value): self.booked[domain] = self.dbs[domain][int(value)].copy() self.booked[domain]['Ref'] = value - self.booked_states[domain] = belief_state[domain] + if belief_state is not None: + self.booked_states[domain] = deepcopy(belief_state[domain]) + else: + self.booked_states[domain] = None def add_usr_da(self, da_turn): """add usr_da into array @@ -205,12 +216,17 @@ class MultiWozEvaluator(Evaluator): tot = len(goal[domain]['book'].keys()) if tot == 0: continue - state = booked_states[domain] + state = booked_states.get(domain, None) if state is None: # nothing has been booked but should have been score.append(0) continue - if len(state['book']) < 2: + tracks_booking = False + for slot in state: + if "book" in slot: + tracks_booking = True + break + if not tracks_booking: # state does not track any booking constraints -> trivially satisfied score.append(1) continue @@ -218,7 +234,7 @@ class MultiWozEvaluator(Evaluator): match = 0 for slot, value in goal[domain]['book'].items(): try: - value_predicted = state['book'].get(slot, "") + value_predicted = state.get(f"book {slot}", "") if value == value_predicted: match += 1 except Exception as e: @@ -244,7 +260,6 @@ class MultiWozEvaluator(Evaluator): inform_not_reqt = set() reqt_not_inform = set() bad_inform = set() - for da in sys_history: domain, intent, slot, value = da.split('-', 3) if intent in ['inform', 'recommend', 'offerbook', 'offerbooked'] and \ @@ -256,7 +271,6 @@ class MultiWozEvaluator(Evaluator): else: bad_inform.add((intent, domain, key)) FP += 1 - for domain in domains: for k in goal[domain]['reqt']: if k in inform_slot[domain]: @@ -388,9 +402,11 @@ class MultiWozEvaluator(Evaluator): """ booking_done = self.check_booking_done(ref2goal) book_sess = self.book_rate(ref2goal) - book_constraint_sess = self.book_rate_constrains(ref2goal) + #book_constraint_sess = self.book_rate_constrains(ref2goal) + book_constraint_sess = 1 inform_sess = self.inform_F1(ref2goal) goal_sess = self.final_goal_analyze() + #goal_sess = 1 # book rate == 1 & inform recall == 1 if ((book_sess == 1 and inform_sess[1] == 1) or (book_sess == 1 and inform_sess[1] is None) @@ -454,27 +470,64 @@ class MultiWozEvaluator(Evaluator): elif i == 'request': goal[d]['reqt'].append(s) - book_rate = self._book_rate_goal(goal, self.booked, [domain]) - book_rate = np.mean(book_rate) if book_rate else None - book_constraints = self._book_goal_constraints(goal, self.booked_states, [domain]) book_constraints = np.mean(book_constraints) if book_constraints else None + book_rate = self._book_rate_goal(goal, self.booked, [domain]) + book_rate = np.mean(book_rate) if book_rate else None + match, mismatch = self._final_goal_analyze_domain(domain) + goal_sess = 1 if (match == 0 and mismatch == 0) else match / (match + mismatch) + inform = self._inform_F1_goal(goal, self.sys_da_array, [domain]) try: inform_rec = inform[0] / (inform[0] + inform[2]) except ZeroDivisionError: inform_rec = None - if (book_rate == 1 and inform_rec == 1) \ - or (book_rate == 1 and inform_rec is None) \ - or (book_rate is None and inform_rec == 1): + if ((book_rate == 1 and inform_rec == 1) or (book_rate == 1 and inform_rec is None) or + (book_rate is None and inform_rec == 1)) and goal_sess == 1: domain_success = 1 - domain_success_strict = 1 if (book_constraints == 1 or book_constraints is None) else 0 - return domain_success if not self.check_book_constraints else domain_success_strict + domain_strict_success = 1 if (book_constraints == 1 or book_constraints is None) else 0 + return domain_success if not self.check_book_constraints else domain_strict_success else: return 0 + def _final_goal_analyze_domain(self, domain): + + match = mismatch = 0 + if domain in self.goal: + dom_goal_dict = self.goal[domain] + else: + return match, mismatch + constraints = [] + if 'reqt' in dom_goal_dict: + reqt_constraints = list(dom_goal_dict['reqt'].items()) + constraints += reqt_constraints + else: + reqt_constraints = [] + if 'info' in dom_goal_dict: + info_constraints = list(dom_goal_dict['info'].items()) + constraints += info_constraints + else: + info_constraints = [] + query_result = self.database.query( + domain, info_constraints, soft_contraints=reqt_constraints) + if not query_result: + mismatch += 1 + + booked = self.booked[domain] + if not self.goal[domain].get('book'): + match += 1 + elif isinstance(booked, dict): + ref = booked['Ref'] + if any(found['Ref'] == ref for found in query_result): + match += 1 + else: + mismatch += 1 + else: + match += 1 + return match, mismatch + def _final_goal_analyze(self): """whether the final goal satisfies constraints""" match = mismatch = 0 diff --git a/convlab2/nlg/evaluate_unified_datasets.py b/convlab2/nlg/evaluate_unified_datasets.py index 68c4893290732fb51934c0aa50bd73230b50a5fc..544c3c37cff10e444869e8579d7210fa5d256032 100644 --- a/convlab2/nlg/evaluate_unified_datasets.py +++ b/convlab2/nlg/evaluate_unified_datasets.py @@ -90,7 +90,7 @@ def evaluate(predict_result, ontology): if __name__ == '__main__': from argparse import ArgumentParser - + parser = ArgumentParser(description="calculate NLG metrics for unified datasets") parser.add_argument('--predict_result', '-p', type=str, required=True, help='path to the prediction file that in the unified data format') diff --git a/convlab2/nlu/evaluate_unified_datasets.py b/convlab2/nlu/evaluate_unified_datasets.py index 86e91747702a1dedd727b5945bf6cbcaa08540d9..2eee44d7a02b405d526ce9389993b9cf0783d48a 100644 --- a/convlab2/nlu/evaluate_unified_datasets.py +++ b/convlab2/nlu/evaluate_unified_datasets.py @@ -10,26 +10,43 @@ def evaluate(predict_result): for sample in predict_result: flag = True - for da_type in ['binary', 'categorical', 'non-categorical']: - if da_type == 'binary': - predicts = [(x['intent'], x['domain'], x['slot']) for x in sample['predictions']['dialogue_acts'][da_type]] - labels = [(x['intent'], x['domain'], x['slot']) for x in sample['dialogue_acts'][da_type]] - else: - predicts = [(x['intent'], x['domain'], x['slot'], ''.join(x['value'].split()).lower()) for x in sample['predictions']['dialogue_acts'][da_type]] - labels = [(x['intent'], x['domain'], x['slot'], ''.join(x['value'].split()).lower()) for x in sample['dialogue_acts'][da_type]] - for ele in predicts: - if ele in labels: + if isinstance(sample['predictions']['dialogue_acts'], dict): + for da_type in ['binary', 'categorical', 'non-categorical']: + if da_type == 'binary': + predicts = [(x['intent'], x['domain'], x['slot']) for x in sample['predictions']['dialogue_acts'][da_type]] + labels = [(x['intent'], x['domain'], x['slot']) for x in sample['dialogue_acts'][da_type]] + else: + predicts = [(x['intent'], x['domain'], x['slot'], ''.join(x['value'].split()).lower()) for x in sample['predictions']['dialogue_acts'][da_type]] + labels = [(x['intent'], x['domain'], x['slot'], ''.join(x['value'].split()).lower()) for x in sample['dialogue_acts'][da_type]] + predicts = sorted(list(set(predicts))) + labels = sorted(list(set(labels))) + for ele in predicts: + if ele in labels: + metrics['overall']['TP'] += 1 + metrics[da_type]['TP'] += 1 + else: + metrics['overall']['FP'] += 1 + metrics[da_type]['FP'] += 1 + for ele in labels: + if ele not in predicts: + metrics['overall']['FN'] += 1 + metrics[da_type]['FN'] += 1 + flag &= (predicts==labels) + acc.append(flag) + elif isinstance(sample['predictions']['dialogue_acts'], list): + gold_da = sorted(list({(da['intent'], da['domain'], da['slot'], ''.join(da.get('value', '').split()).lower()) for da_type in ['binary', 'categorical', 'non-categorical'] for da in sample['dialogue_acts'][da_type]})) + pred_da = sorted(list({(da['intent'], da['domain'], da['slot'], ''.join(da.get('value', '').split()).lower()) for da in sample['predictions']['dialogue_acts']})) + acc.append(pred_da==gold_da) + for ele in pred_da: + if ele in gold_da: metrics['overall']['TP'] += 1 - metrics[da_type]['TP'] += 1 else: metrics['overall']['FP'] += 1 - metrics[da_type]['FP'] += 1 - for ele in labels: - if ele not in predicts: + for ele in gold_da: + if ele not in pred_da: metrics['overall']['FN'] += 1 - metrics[da_type]['FN'] += 1 - flag &= (sorted(predicts)==sorted(labels)) - acc.append(flag) + else: + raise TypeError('type of predictions:dialogue_acts should be dict or list') for metric in metrics: TP = metrics[metric].pop('TP') diff --git a/convlab2/policy/dqn/dqn.py b/convlab2/policy/dqn/dqn.py index 3a029290ca9cb2591c2ee5ae44e832568c5eb623..f26ee735525b2d6cbbfb32cf1d7b9ce02d979613 100644 --- a/convlab2/policy/dqn/dqn.py +++ b/convlab2/policy/dqn/dqn.py @@ -10,7 +10,7 @@ import copy from convlab2.policy.policy import Policy from convlab2.policy.rlmodule import EpsilonGreedyPolicy, MemoryReplay from convlab2.util.train_util import init_logging_handler -from convlab2.policy.vector.vector_multiwoz import MultiWozVector +from convlab2.policy.vector.vector_binary import VectorBinary from convlab2.policy.rule.multiwoz.rule_based_multiwoz_bot import RuleBasedMultiwozBot from convlab2.util.file_util import cached_path import zipfile @@ -42,9 +42,7 @@ class DQN(Policy): # construct multiwoz vector if dataset == 'Multiwoz': - voc_file = os.path.join(root_dir, 'data/multiwoz/sys_da_voc.txt') - voc_opp_file = os.path.join(root_dir, 'data/multiwoz/usr_da_voc.txt') - self.vector = MultiWozVector(voc_file, voc_opp_file, composite_actions=True, vocab_size=cfg['vocab_size']) + self.vector = VectorBinary() #replay memory self.memory = MemoryReplay(cfg['memory_size']) diff --git a/convlab2/policy/evaluate.py b/convlab2/policy/evaluate.py index da5d184f044cf5e7dcf11b15d3ebd61b078fb557..a473d49afb59c4ab56c212763c029e8e50bef858 100755 --- a/convlab2/policy/evaluate.py +++ b/convlab2/policy/evaluate.py @@ -1,15 +1,10 @@ # -*- coding: utf-8 -*- -#from torch import multiprocessing as mp -#from convlab2.policy.rule.multiwoz import RulePolicy -#from convlab2.policy.rlmodule import Memory, Transition -#from convlab2.policy.tus.multiwoz.TUS import UserPolicy + import argparse import datetime import json import logging import os -import random -from convlab2.policy.vector.vector_multiwoz import MultiWozVector import numpy as np import torch @@ -18,10 +13,9 @@ from convlab2.dialog_agent.session import BiSession from convlab2.dst.rule.multiwoz import RuleDST from convlab2.dst.rule.multiwoz.usr_dst import UserRuleDST from convlab2.evaluator.multiwoz_eval import MultiWozEvaluator -#from convlab2.policy.tus.multiwoz.TUS import UserPolicy -from convlab2.policy.rlmodule import Memory +from convlab2.policy.tus.multiwoz.TUS import UserPolicy from convlab2.policy.rule.multiwoz import RulePolicy -from torch import multiprocessing as mp +from convlab2.util.custom_util import set_seed def init_logging(log_dir_path, path_suffix=None): @@ -45,135 +39,20 @@ def init_logging(log_dir_path, path_suffix=None): DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") -def sampler(pid, queue, evt, env, policy, batchsz): - """ - This is a sampler function, and it will be called by multiprocess.Process to sample data from environment by multiple - processes. - :param pid: process id - :param queue: multiprocessing.Queue, to collect sampled data - :param evt: multiprocessing.Event, to keep the process alive - :param env: environment instance - :param policy: policy network, to generate action from current policy - :param batchsz: total sampled items - :return: - """ - buff = Memory() - - # we need to sample batchsz of (state, action, next_state, reward, mask) - # each trajectory contains `trajectory_len` num of items, so we only need to sample - # `batchsz//trajectory_len` num of trajectory totally - # the final sampled number may be larger than batchsz. - - sampled_num = 0 - sampled_traj_num = 0 - traj_len = 50 - real_traj_len = 0 - - while sampled_num < batchsz: - # for each trajectory, we reset the env and get initial state - s = env.reset() - - for t in range(traj_len): - - # [s_dim] => [a_dim] - s_vec = torch.Tensor(policy.vector.state_vectorize(s)) - a = policy.predict(s) - - # interact with env - next_s, r, done = env.step(a) - - # a flag indicates ending or not - mask = 0 if done else 1 - - # get reward compared to demostrations - next_s_vec = torch.Tensor(policy.vector.state_vectorize(next_s)) - - # save to queue - buff.push(s_vec.numpy(), policy.vector.action_vectorize( - a), r, next_s_vec.numpy(), mask) - - # update per step - s = next_s - real_traj_len = t - - if done: - break - - # this is end of one trajectory - sampled_num += real_traj_len - sampled_traj_num += 1 - # t indicates the valid trajectory length - - # this is end of sampling all batchsz of items. - # when sampling is over, push all buff data into queue - queue.put([pid, buff]) - evt.wait() - - -def sample(env, policy, batchsz, process_num): - """ - Given batchsz number of task, the batchsz will be splited equally to each processes - and when processes return, it merge all data and return - :param env: - :param policy: - :param batchsz: - :param process_num: - :return: batch - """ - - # batchsz will be splitted into each process, - # final batchsz maybe larger than batchsz parameters - process_batchsz = np.ceil(batchsz / process_num).astype(np.int32) - # buffer to save all data - queue = mp.Queue() - - # start processes for pid in range(1, processnum) - # if processnum = 1, this part will be ignored. - # when save tensor in Queue, the process should keep alive till Queue.get(), - # please refer to : https://discuss.pytorch.org/t/using-torch-tensor-over-multiprocessing-queue-process-fails/2847 - # however still some problem on CUDA tensors on multiprocessing queue, - # please refer to : https://discuss.pytorch.org/t/cuda-tensors-on-multiprocessing-queue/28626 - # so just transform tensors into numpy, then put them into queue. - evt = mp.Event() - processes = [] - for i in range(process_num): - process_args = (i, queue, evt, env, policy, process_batchsz) - processes.append(mp.Process(target=sampler, args=process_args)) - for p in processes: - # set the process as daemon, and it will be killed once the main process is stoped. - p.daemon = True - p.start() - - # we need to get the first Memory object and then merge others Memory use its append function. - pid0, buff0 = queue.get() - for _ in range(1, process_num): - pid, buff_ = queue.get() - buff0.append(buff_) # merge current Memory into buff0 - evt.set() - - # now buff saves all the sampled data - buff = buff0 - - return buff.get_batch() - - -def evaluate(args, dataset_name, model_name, load_path, calculate_reward=True, verbose=False): - seed = 20190827 - random.seed(seed) - np.random.seed(seed) - torch.manual_seed(seed) +def evaluate(args, model_name, load_path, verbose=False): + seed = 0 + set_seed(seed) dst_sys = RuleDST() if model_name == "PPO": from convlab2.policy.ppo import PPO if load_path: - policy_sys = PPO(False, vectorizer=MultiWozVector()) + policy_sys = PPO(False) policy_sys.load(load_path) else: policy_sys = PPO.from_pretrained() elif model_name == "RULE": - # from convlab2.policy.rule.multiwoz import RulePolicy policy_sys = RulePolicy() elif model_name == "PG": from convlab2.policy.pg import PG @@ -183,7 +62,7 @@ def evaluate(args, dataset_name, model_name, load_path, calculate_reward=True, v else: policy_sys = PG.from_pretrained() elif model_name == "MLE": - from convlab2.policy.mle.multiwoz import MLE + from convlab2.policy.mle import MLE if load_path: policy_sys = MLE() policy_sys.load(load_path) @@ -197,15 +76,13 @@ def evaluate(args, dataset_name, model_name, load_path, calculate_reward=True, v else: policy_sys = GDPL.from_pretrained() user_type = args.user.lower() - if user_type == "tus": + if user_type == "rule": + dst_usr = None + policy_usr = RulePolicy(character='usr') + elif user_type == "tus": dst_usr = UserRuleDST() user_config = json.load(open(args.user_config)) policy_usr = UserPolicy(user_config) - - elif user_type == "rule": - dst_usr = None - policy_usr = RulePolicy(character='usr') - elif user_type == "vhus": from convlab2.policy.vhus.multiwoz import UserPolicyVHUS dst_usr = None @@ -220,10 +97,9 @@ def evaluate(args, dataset_name, model_name, load_path, calculate_reward=True, v action_dict = {} - task_success = {'All_user_sim': [], 'All_evaluator': [], 'All_evaluator_strict': [], 'total_return': []} + task_success = {'Complete': [], 'Success': [], 'Success strict': [], 'total_return': [], 'turns': []} for seed in range(1000, 1400): - random.seed(seed) - np.random.seed(seed) + set_seed(seed) sess.init_session() sys_response = [] actions = 0.0 @@ -231,9 +107,11 @@ def evaluate(args, dataset_name, model_name, load_path, calculate_reward=True, v turns = 0 task_succ = 0 task_succ_strict = 0 - logging.info(f"\n Seed: {seed}") + complete = 0 + if verbose: logging.info("NEW EPISODE!!!!" + "-" * 80) + logging.info(f"\n Seed: {seed}") logging.info(f"GOAL: {sess.evaluator.goal}") logging.info("\n") for i in range(40): @@ -255,36 +133,27 @@ def evaluate(args, dataset_name, model_name, load_path, calculate_reward=True, v # logging.info(f"Actions in turn: {len(sys_response)}") turns += 1 - if user_type == "vhus": - total_return += reward - else: - total_return += simulator.policy.policy.get_reward() + total_return += evaluator.get_reward(session_over) - if session_over is True: + if session_over: task_succ = sess.evaluator.task_success() task_succ = sess.evaluator.success task_succ_strict = sess.evaluator.success_strict + complete = sess.evaluator.complete break - if user_type != "vhus": - logging.info( - f"Complete: {int(simulator.policy.policy.goal.task_complete())}") - logging.info(f"Success: {task_succ}") - logging.info(f"Success strict: {task_succ_strict}") - logging.info(f"Return: {total_return}") - logging.info(f"Average actions: {actions / turns}") - if user_type == "vhus": - task_success['All_user_sim'].append( - int(simulator.policy.goal.task_complete())) - else: - task_success['All_user_sim'].append( - int(simulator.policy.policy.goal.task_complete())) - - task_success['All_evaluator'].append(task_succ) - task_success['All_evaluator_strict'].append(task_succ_strict) + if verbose: + logging.info(f"Complete: {complete}") + logging.info(f"Success: {task_succ}") + logging.info(f"Success strict: {task_succ_strict}") + logging.info(f"Return: {total_return}") + logging.info(f"Average actions: {actions / turns}") + + task_success['Complete'].append(complete) + task_success['Success'].append(task_succ) + task_success['Success strict'].append(task_succ_strict) task_success['total_return'].append(total_return) - - # logging.info(f"Entropy: {np.mean(policy_sys.entropy_list)}") + task_success['turns'].append(turns) for key in task_success: logging.info( @@ -293,8 +162,6 @@ def evaluate(args, dataset_name, model_name, load_path, calculate_reward=True, v if __name__ == "__main__": parser = argparse.ArgumentParser() - parser.add_argument("--dataset_name", type=str, - default="MultiWOZ", help="name of dataset") parser.add_argument("--model_name", type=str, default="PPO", help="name of model") parser.add_argument("--load_path", type=str, @@ -315,7 +182,6 @@ if __name__ == "__main__": path_suffix=args.log_path_suffix) evaluate( args=args, - dataset_name=args.dataset_name, model_name=args.model_name, load_path=args.load_path, verbose=args.verbose diff --git a/convlab2/policy/evaluate_distributed.py b/convlab2/policy/evaluate_distributed.py index 94f8649811723c678b45a20f459fd333c1b43222..e6e16e4af41e5d45a4f74cdd3da1c636d61cb2bb 100644 --- a/convlab2/policy/evaluate_distributed.py +++ b/convlab2/policy/evaluate_distributed.py @@ -53,7 +53,7 @@ def sampler(pid, queue, evt, sess, seed_range): sys_response) turns += 1 - total_return_success += reward + total_return_success += sess.evaluator.get_reward(terminated=session_over) total_return_complete += sess.user_agent.policy.policy.get_reward() acts = sess.sys_agent.dst.state['system_action'] avg_actions += len(acts) @@ -77,9 +77,6 @@ def sampler(pid, queue, evt, sess, seed_range): success_strict = sess.evaluator.success_strict break - total_return_success = 80 if success_strict else -40 - total_return_success -= turns - for key in sess.evaluator.goal: if key not in task_success: task_success[key] = [] diff --git a/convlab2/policy/gdpl/estimator.py b/convlab2/policy/gdpl/estimator.py index d44fe04d7f378da3af96a8e45d44cc4ddd1ba3f5..3012465d7e177192c761a8c520835900cb46ae8b 100755 --- a/convlab2/policy/gdpl/estimator.py +++ b/convlab2/policy/gdpl/estimator.py @@ -12,10 +12,11 @@ from torch import optim import torch.utils.data as data from convlab2.util.train_util import to_device from convlab2.policy.vector.dataset import ActStateDataset -from convlab2.policy.mle.multiwoz.loader import ActMLEPolicyDataLoaderMultiWoz +from convlab2.policy.mle.loader import PolicyDataVectorizer DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") + class RewardEstimator(object): def __init__(self, vector, pretrain=False): with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: @@ -39,7 +40,7 @@ class RewardEstimator(object): self.irl_iter = iter(self.data_train) if pretrain: self.data_train = manager.create_dataset_irl('train', cfg['batchsz']) - self.data_valid = manager.create_dataset_irl('valid', cfg['batchsz']) + self.data_valid = manager.create_dataset_irl('validation', cfg['batchsz']) self.data_test = manager.create_dataset_irl('test', cfg['batchsz']) self.irl_iter = iter(self.data_train) self.irl_iter_valid = iter(self.data_valid) @@ -188,10 +189,7 @@ class RewardEstimator(object): gen_loss /= turns logging.debug('<<reward estimator>> epoch {}, loss_real:{}, loss_gen:{}'.format( epoch, real_loss, gen_loss)) - - if (epoch+1) % self.save_per_epoch == 0: - self.save_irl(self.save_dir, epoch) - + def save_irl(self, directory, epoch): if not os.path.exists(directory): os.makedirs(directory) @@ -239,10 +237,11 @@ class AIRL(nn.Module): :param next_s: [b, s_dim] :return: [b, 1] """ - weights = self.g(torch.cat([s,a], -1)) + self.gamma * self.h(next_s) - self.h(s) + weights = self.g(torch.cat([s, a], -1)) + self.gamma * self.h(next_s) - self.h(s) return weights -class ActEstimatorDataLoaderMultiWoz(ActMLEPolicyDataLoaderMultiWoz): + +class ActEstimatorDataLoaderMultiWoz(PolicyDataVectorizer): def __init__(self): super(ActEstimatorDataLoaderMultiWoz, self).__init__() @@ -252,12 +251,12 @@ class ActEstimatorDataLoaderMultiWoz(ActMLEPolicyDataLoaderMultiWoz): a = [] next_s = [] for i, item in enumerate(self.data[part]): - s.append(torch.Tensor(item[0])) - a.append(torch.Tensor(item[1])) - if item[0][-1]: #terminated - next_s.append(torch.Tensor(item[0])) + s.append(torch.Tensor(item['state'])) + a.append(torch.Tensor(item['action'])) + if item['terminated']: #terminated + next_s.append(torch.Tensor(item['state'])) else: - next_s.append(torch.Tensor(self.data[part][i+1][0])) + next_s.append(torch.Tensor(self.data[part][i+1]['state'])) s = torch.stack(s) a = torch.stack(a) next_s = torch.stack(next_s) @@ -265,5 +264,3 @@ class ActEstimatorDataLoaderMultiWoz(ActMLEPolicyDataLoaderMultiWoz): dataloader = data.DataLoader(dataset, batchsz, True) print('Finish creating {} irl dataset'.format(part)) return dataloader - - diff --git a/convlab2/policy/gdpl/gdpl.py b/convlab2/policy/gdpl/gdpl.py index 7d213be5fc071c0632950e095194edccf489c255..d9ba220a27392748e550778ccffe92e198e65242 100755 --- a/convlab2/policy/gdpl/gdpl.py +++ b/convlab2/policy/gdpl/gdpl.py @@ -5,10 +5,11 @@ import numpy as np import logging import os import json + from convlab2.policy.policy import Policy from convlab2.policy.rlmodule import MultiDiscretePolicy, Value +from convlab2.util.custom_util import set_seed from convlab2.util.train_util import init_logging_handler -from convlab2.policy.vector.vector_multiwoz import MultiWozVector from convlab2.util.file_util import cached_path import zipfile import sys @@ -21,7 +22,7 @@ DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") class GDPL(Policy): - def __init__(self, is_train=False, dataset='Multiwoz'): + def __init__(self, is_train=False, dataset='Multiwoz', seed=0, vectorizer=None): with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: cfg = json.load(f) @@ -33,21 +34,24 @@ class GDPL(Policy): self.epsilon = cfg['epsilon'] self.tau = cfg['tau'] self.is_train = is_train - if is_train: - init_logging_handler(os.path.join(os.path.dirname(os.path.abspath(__file__)), cfg['log_dir'])) + self.vector = vectorizer + self.info_dict = {} + + set_seed(seed) + if self.vector is None: + logging.info("No vectorizer was set, using default..") + from convlab2.policy.vector.vector_binary import VectorBinary + self.vector = VectorBinary() # construct policy and value network if dataset == 'Multiwoz': - voc_file = os.path.join(root_dir, 'data/multiwoz/sys_da_voc.txt') - voc_opp_file = os.path.join(root_dir, 'data/multiwoz/usr_da_voc.txt') - self.vector = MultiWozVector(voc_file, voc_opp_file) self.policy = MultiDiscretePolicy(self.vector.state_dim, cfg['h_dim'], self.vector.da_dim).to(device=DEVICE) self.value = Value(self.vector.state_dim, cfg['hv_dim']).to(device=DEVICE) if is_train: self.policy_optim = optim.RMSprop(self.policy.parameters(), lr=cfg['policy_lr']) self.value_optim = optim.Adam(self.value.parameters(), lr=cfg['value_lr']) - + def predict(self, state): """ Predict an system action given state. @@ -56,10 +60,26 @@ class GDPL(Policy): Returns: action : System act, with the form of (act_type, {slot_name_1: value_1, slot_name_2, value_2, ...}) """ - s_vec = torch.Tensor(self.vector.state_vectorize(state)) - a = self.policy.select_action(s_vec.to(device=DEVICE), self.is_train).cpu() - action = self.vector.action_devectorize(a.numpy()) + s, action_mask = self.vector.state_vectorize(state) + s_vec = torch.Tensor(s) + mask_vec = torch.Tensor(action_mask) + a = self.policy.select_action( + s_vec.to(device=DEVICE), False, action_mask=mask_vec.to(device=DEVICE)).cpu() + + a_counter = 0 + while a.sum() == 0: + a_counter += 1 + a = self.policy.select_action( + s_vec.to(device=DEVICE), True, action_mask=mask_vec.to(device=DEVICE)).cpu() + if a_counter == 5: + break + # print('True :') + # print(a) + action = self.vector.action_devectorize(a.detach().numpy()) state['system_action'] = action + self.info_dict["action_used"] = action + # for key in state.keys(): + # print("Key : {} , Value : {}".format(key,state[key])) return action def init_session(self): @@ -112,7 +132,7 @@ class GDPL(Policy): return A_sa, v_target - def update(self, epoch, batchsz, s, a, next_s, mask, rewarder): + def update(self, epoch, batchsz, s, a, next_s, mask, rewarder, action_mask): # update reward estimator rewarder.update_irl((s, a, next_s), batchsz, epoch) @@ -120,7 +140,7 @@ class GDPL(Policy): # actually, PI_old(s, a) can be saved when interacting with env, so as to save the time of one forward elapsed # v: [b, 1] => [b] v = self.value(s).squeeze(-1).detach() - log_pi_old_sa = self.policy.get_log_prob(s, a).detach() + log_pi_old_sa = self.policy.get_log_prob(s, a, action_mask).detach() # estimate advantage and v_target according to GAE and Bellman Equation r = rewarder.estimate(s, a, next_s, log_pi_old_sa).detach() @@ -131,22 +151,25 @@ class GDPL(Policy): # 1. shuffle current batch perm = torch.randperm(batchsz) # shuffle the variable for mutliple optimize - v_target_shuf, A_sa_shuf, s_shuf, a_shuf, log_pi_old_sa_shuf = v_target[perm], A_sa[perm], s[perm], a[perm], \ - log_pi_old_sa[perm] + v_target_shuf, A_sa_shuf, s_shuf, a_shuf, log_pi_old_sa_shuf, action_mask_shuf = v_target[perm], \ + A_sa[perm], s[perm], \ + a[perm], \ + log_pi_old_sa[perm], action_mask[perm] # 2. get mini-batch for optimizing optim_chunk_num = int(np.ceil(batchsz / self.optim_batchsz)) # chunk the optim_batch for total batch - v_target_shuf, A_sa_shuf, s_shuf, a_shuf, log_pi_old_sa_shuf = torch.chunk(v_target_shuf, optim_chunk_num), \ + v_target_shuf, A_sa_shuf, s_shuf, a_shuf, log_pi_old_sa_shuf, action_mask_shuf = torch.chunk(v_target_shuf, optim_chunk_num), \ torch.chunk(A_sa_shuf, optim_chunk_num), \ torch.chunk(s_shuf, optim_chunk_num), \ torch.chunk(a_shuf, optim_chunk_num), \ torch.chunk(log_pi_old_sa_shuf, - optim_chunk_num) + optim_chunk_num), \ + torch.chunk(action_mask_shuf, optim_chunk_num) # 3. iterate all mini-batch to optimize policy_loss, value_loss = 0., 0. - for v_target_b, A_sa_b, s_b, a_b, log_pi_old_sa_b in zip(v_target_shuf, A_sa_shuf, s_shuf, a_shuf, - log_pi_old_sa_shuf): + for v_target_b, A_sa_b, s_b, a_b, log_pi_old_sa_b, action_mask_b in zip(v_target_shuf, A_sa_shuf, s_shuf, a_shuf, + log_pi_old_sa_shuf, action_mask_shuf): # print('optim:', batchsz, v_target_b.size(), A_sa_b.size(), s_b.size(), a_b.size(), log_pi_old_sa_b.size()) # 1. update value network self.value_optim.zero_grad() @@ -156,13 +179,12 @@ class GDPL(Policy): # backprop loss.backward() - # nn.utils.clip_grad_norm(self.value.parameters(), 4) self.value_optim.step() # 2. update policy network by clipping self.policy_optim.zero_grad() # [b, 1] - log_pi_sa = self.policy.get_log_prob(s_b, a_b) + log_pi_sa = self.policy.get_log_prob(s_b, a_b, action_mask_b) # ratio = exp(log_Pi(a|s) - log_Pi_old(a|s)) = Pi(a|s) / Pi_old(a|s) # we use log_pi for stability of numerical operation # [b, 1] => [b] @@ -180,7 +202,7 @@ class GDPL(Policy): for p in self.policy.parameters(): p.grad[p.grad != p.grad] = 0.0 # gradient clipping, for stability - torch.nn.utils.clip_grad_norm(self.policy.parameters(), 10) + torch.nn.utils.clip_grad_norm_(self.policy.parameters(), 10) # self.lock.acquire() # retain lock to update weights self.policy_optim.step() # self.lock.release() # release lock @@ -189,9 +211,6 @@ class GDPL(Policy): policy_loss /= optim_chunk_num logging.debug('<<dialog policy gdpl>> epoch {}, iteration {}, value, loss {}'.format(epoch, i, value_loss)) logging.debug('<<dialog policy gdpl>> epoch {}, iteration {}, policy, loss {}'.format(epoch, i, policy_loss)) - - if (epoch+1) % self.save_per_epoch == 0: - self.save(self.save_dir, epoch) def save(self, directory, epoch): if not os.path.exists(directory): diff --git a/convlab2/policy/gdpl/semantic_level_config.json b/convlab2/policy/gdpl/semantic_level_config.json new file mode 100644 index 0000000000000000000000000000000000000000..d46ad81753614f00ab46e78038b225aa3b723332 --- /dev/null +++ b/convlab2/policy/gdpl/semantic_level_config.json @@ -0,0 +1,48 @@ +{ + "model": { + "load_path": "convlab2/policy/mle/experiments/experiment_2022-03-10-11-44-08/save/supervised", + "use_pretrained_initialisation": false, + "pretrained_load_path": "", + "batchsz": 1000, + "seed": 0, + "epoch": 200, + "eval_frequency": 5, + "process_num": 4, + "use_masking": false, + "use_state_entropy": false, + "manually_add_entity_names": false, + "use_state_mutual_info": false, + "use_confidence_scores": false, + "sys_semantic_to_usr": false, + "num_eval_dialogues": 500 + }, + "vectorizer_sys": { + "uncertainty_vector_mul": { + "class_path": "convlab2.policy.vector.vector_binary.VectorBinary", + "ini_params": { + "use_masking": false, + "manually_add_entity_names": false, + "seed": 0 + } + } + }, + "nlu_sys": {}, + "dst_sys": { + "RuleDST": { + "class_path": "convlab2.dst.rule.multiwoz.dst.RuleDST", + "ini_params": {} + } + }, + "sys_nlg": {}, + "nlu_usr": {}, + "dst_usr": {}, + "policy_usr": { + "RulePolicy": { + "class_path": "convlab2.policy.rule.multiwoz.RulePolicy", + "ini_params": { + "character": "usr" + } + } + }, + "usr_nlg": {} +} \ No newline at end of file diff --git a/convlab2/policy/gdpl/train.py b/convlab2/policy/gdpl/train.py index 8176dc64ed26480867d457878ffc5e402be84ed3..bb3d1e1eb71002d57603d490f9b6849101263719 100755 --- a/convlab2/policy/gdpl/train.py +++ b/convlab2/policy/gdpl/train.py @@ -1,30 +1,41 @@ # -*- coding: utf-8 -*- """ -Created on Tue Dec 31 10:57:51 2019 +Created on Sun Jul 14 16:14:07 2019 @author: truthless """ -import sys, os -sys.path.append(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__))))) + +import sys +import os +import logging +import time import numpy as np import torch -from torch import multiprocessing as mp -from convlab2.dialog_agent.agent import PipelineAgent -from convlab2.dialog_agent.env import Environment -from convlab2.dst.rule.multiwoz import RuleDST -from convlab2.policy.rule.multiwoz import RulePolicy + from convlab2.policy.gdpl import GDPL from convlab2.policy.gdpl import RewardEstimator -from convlab2.policy.rlmodule import Memory, Transition +from convlab2.policy.rlmodule import Memory +from torch import multiprocessing as mp from argparse import ArgumentParser +from convlab2.policy.ppo.config import get_config +from convlab2.util.custom_util import set_seed, init_logging, save_config, move_finished_training, env_config, \ + eval_policy, log_start_args, save_best, load_config_file +from datetime import datetime + +sys.path.append(os.path.dirname(os.path.dirname( + os.path.dirname(os.path.abspath(__file__))))) DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") +device = DEVICE try: + mp.set_start_method('spawn', force=True) mp = mp.get_context('spawn') except RuntimeError: pass -def sampler(pid, queue, evt, env, policy, batchsz): + +def sampler(pid, queue, evt, env, policy, batchsz, train_seed=0): + """ This is a sampler function, and it will be called by multiprocess.Process to sample data from environment by multiple processes. @@ -36,8 +47,8 @@ def sampler(pid, queue, evt, env, policy, batchsz): :param batchsz: total sampled items :return: """ - buff = Memory() + buff = Memory(seed=train_seed) # we need to sample batchsz of (state, action, next_state, reward, mask) # each trajectory contains `trajectory_len` num of items, so we only need to sample # `batchsz//trajectory_len` num of trajectory totally @@ -51,24 +62,32 @@ def sampler(pid, queue, evt, env, policy, batchsz): while sampled_num < batchsz: # for each trajectory, we reset the env and get initial state s = env.reset() - for t in range(traj_len): # [s_dim] => [a_dim] - s_vec = torch.Tensor(policy.vector.state_vectorize(s)) - a = policy.predict(s) + s_vec, action_mask = policy.vector.state_vectorize(s) + s_vec = torch.Tensor(s_vec) + action_mask = torch.Tensor(action_mask) + a = policy.predict(s) + # print("---> sample action") + # print(f"s : {s['system_action']}") + # print(f"a : {a}") # interact with env - next_s, _, done = env.step(a) + next_s, r, done = env.step(a) + # print(f"next_s: {next_s['system_action']}") # a flag indicates ending or not mask = 0 if done else 1 # get reward compared to demostrations - next_s_vec = torch.Tensor(policy.vector.state_vectorize(next_s)) + next_s_vec, next_action_mask = policy.vector.state_vectorize( + next_s) + next_s_vec = torch.Tensor(next_s_vec) # save to queue - buff.push(s_vec.numpy(), policy.vector.action_vectorize(a), 0, next_s_vec.numpy(), mask) + buff.push(s_vec.numpy(), policy.vector.action_vectorize( + a), r, next_s_vec.numpy(), mask, action_mask.numpy()) # update per step s = next_s @@ -88,14 +107,15 @@ def sampler(pid, queue, evt, env, policy, batchsz): evt.wait() -def sample(env, policy, batchsz, process_num): +def sample(env, policy, batchsz, process_num, seed): + """ Given batchsz number of task, the batchsz will be splited equally to each processes and when processes return, it merge all data and return - :param env: - :param policy: + :param env: + :param policy: :param batchsz: - :param process_num: + :param process_num: :return: batch """ @@ -115,7 +135,7 @@ def sample(env, policy, batchsz, process_num): evt = mp.Event() processes = [] for i in range(process_num): - process_args = (i, queue, evt, env, policy, process_batchsz) + process_args = (i, queue, evt, env, policy, process_batchsz, seed) processes.append(mp.Process(target=sampler, args=process_args)) for p in processes: # set the process as daemon, and it will be killed once the main process is stoped. @@ -135,44 +155,128 @@ def sample(env, policy, batchsz, process_num): return buff.get_batch() -def update(env, policy, batchsz, epoch, process_num, rewarder): +def update(env, policy, batchsz, epoch, process_num, rewarder, seed=0): + # sample data asynchronously - batch = sample(env, policy, batchsz, process_num) + batch = sample(env, policy, batchsz, process_num, seed) + # print(batch) # data in batch is : batch.state: ([1, s_dim], [1, s_dim]...) # batch.action: ([1, a_dim], [1, a_dim]...) # batch.reward/ batch.mask: ([1], [1]...) s = torch.from_numpy(np.stack(batch.state)).to(device=DEVICE) a = torch.from_numpy(np.stack(batch.action)).to(device=DEVICE) + r = torch.from_numpy(np.stack(batch.reward)).to(device=DEVICE) next_s = torch.from_numpy(np.stack(batch.next_state)).to(device=DEVICE) mask = torch.Tensor(np.stack(batch.mask)).to(device=DEVICE) + action_mask = torch.Tensor(np.stack(batch.action_mask)).to(device=DEVICE) batchsz_real = s.size(0) - policy.update(epoch, batchsz_real, s, a, next_s, mask, rewarder) + policy.update(epoch, batchsz_real, s, a, next_s, mask, rewarder, action_mask) if __name__ == '__main__': + + time_now = time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime()) + + begin_time = datetime.now() parser = ArgumentParser() - parser.add_argument("--load_path", type=str, default="", help="path of model to load") - parser.add_argument("--batchsz", type=int, default=1024, help="batch size of trajactory sampling") - parser.add_argument("--epoch", type=int, default=200, help="number of epochs to train") - parser.add_argument("--process_num", type=int, default=8, help="number of processes of trajactory sampling") - args = parser.parse_args() - # simple rule DST - dst_sys = RuleDST() - - policy_sys = GDPL(True) - policy_sys.load(args.load_path) - rewarder = RewardEstimator(policy_sys.vector, False) - - # not use dst - dst_usr = None - # rule policy - policy_usr = RulePolicy(character='usr') - # assemble - simulator = PipelineAgent(None, None, policy_usr, None, 'user') - - env = Environment(None, simulator, None, dst_sys) - - for i in range(args.epoch): - update(env, policy_sys, args.batchsz, i, args.process_num, rewarder) \ No newline at end of file + parser.add_argument("--path", type=str, default='convlab2/policy/gdpl/semantic_level_config.json', + help="Load path for config file") + parser.add_argument("--seed", type=int, default=0, + help="Seed for the policy parameter initialization") + parser.add_argument("--pretrain", action='store_true', help="whether to pretrain the reward estimator") + parser.add_argument("--mode", type=str, default='info', + help="Set level for logger") + parser.add_argument("--save_eval_dials", type=bool, default=False, + help="Flag for saving dialogue_info during evaluation") + + path = parser.parse_args().path + seed = parser.parse_args().seed + mode = parser.parse_args().mode + save_eval = parser.parse_args().save_eval_dials + + logger, tb_writer, current_time, save_path, config_save_path, dir_path, log_save_path = \ + init_logging(os.path.dirname(os.path.abspath(__file__)), mode) + + args = [('model', 'seed', seed)] + + environment_config = load_config_file(path) + save_config(vars(parser.parse_args()), environment_config, config_save_path) + + conf = get_config(path, args) + seed = conf['model']['seed'] + logging.info('Train seed is ' + str(seed)) + set_seed(seed) + + policy_sys = GDPL(True, seed=conf['model']['seed'], vectorizer=conf['vectorizer_sys_activated']) + rewarder = RewardEstimator(policy_sys.vector, parser.parse_args().pretrain) + + # Load model + if conf['model']['use_pretrained_initialisation']: + logging.info("Loading supervised model checkpoint.") + policy_sys.load_from_pretrained(conf['model'].get('pretrained_load_path', "")) + elif conf['model']['load_path']: + try: + policy_sys.load(conf['model']['load_path']) + except Exception as e: + logging.info(f"Could not load a policy: {e}") + else: + logging.info("Policy initialised from scratch") + + log_start_args(conf) + logging.info(f"New episodes per epoch: {conf['model']['batchsz']}") + + env, sess = env_config(conf, policy_sys) + + # Setup uncertainty thresholding + if env.sys_dst: + try: + if env.sys_dst.use_confidence_scores: + policy_sys.vector.setup_uncertain_query(env.sys_dst.thresholds) + except: + logging.info('Uncertainty threshold not set.') + + policy_sys.current_time = current_time + policy_sys.log_dir = config_save_path.replace('configs', 'logs') + policy_sys.save_dir = save_path + + logging.info(f"Evaluating at start - {time_now}" + '-'*60) + time_now = time.time() + eval_dict = eval_policy(conf, policy_sys, env, sess, save_eval, log_save_path) + logging.info(f"Finished evaluating, time spent: {time.time() - time_now}") + + for key in eval_dict: + tb_writer.add_scalar(key, eval_dict[key], 0) + best_complete_rate = eval_dict['complete_rate'] + best_success_rate = eval_dict['success_rate_strict'] + + logging.info("Start of Training: " + + time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) + + for i in range(conf['model']['epoch']): + idx = i + 1 + # print("Epoch :{}".format(str(idx))) + update(env, policy_sys, conf['model']['batchsz'], idx, conf['model']['process_num'], rewarder, seed=seed) + + if idx % conf['model']['eval_frequency'] == 0 and idx != 0: + time_now = time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime()) + logging.info(f"Evaluating at Epoch: {idx} - {time_now}" + '-'*60) + + eval_dict = eval_policy(conf, policy_sys, env, sess, save_eval, log_save_path) + + best_complete_rate, best_success_rate = \ + save_best(policy_sys, best_complete_rate, best_success_rate, + eval_dict["complete_rate"], eval_dict["success_rate_strict"], save_path) + for key in eval_dict: + tb_writer.add_scalar(key, eval_dict[key], idx * conf['model']['batchsz']) + + logging.info("End of Training: " + + time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) + + f = open(os.path.join(dir_path, "time.txt"), "a") + f.write(str(datetime.now() - begin_time)) + f.close() + + move_finished_training(dir_path, os.path.join( + os.path.dirname(os.path.abspath(__file__)), "finished_experiments")) diff --git a/convlab2/policy/mle/__init__.py b/convlab2/policy/mle/__init__.py index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..e96e3c71a9984c5c0a97bab1edbaf811006b3f5d 100755 --- a/convlab2/policy/mle/__init__.py +++ b/convlab2/policy/mle/__init__.py @@ -0,0 +1 @@ +from .mle import MLE \ No newline at end of file diff --git a/convlab2/policy/mle/camrest/README.md b/convlab2/policy/mle/camrest/README.md deleted file mode 100755 index 17213a4fff108d1227a875666bc94441d3ad9f98..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/camrest/README.md +++ /dev/null @@ -1,22 +0,0 @@ -# Imitation on camrest - -Vanilla MLE Policy employs a multi-class classification via Imitation Learning with a set of compositional actions where a compositional action consists of a set of dialog act items. - -## Train - -``` -python train.py -``` - -You can modify *config.json* to change the setting. - -## Data - -data/camrest/[train/val/test].json - -## Performance - -|Dialog act accuracy| -|-| -|0.7459| - diff --git a/convlab2/policy/mle/camrest/__init__.py b/convlab2/policy/mle/camrest/__init__.py deleted file mode 100755 index 270f08f589bed3d7d65de569c5d86169dd344d94..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/camrest/__init__.py +++ /dev/null @@ -1 +0,0 @@ -from convlab2.policy.mle.camrest.mle import MLE \ No newline at end of file diff --git a/convlab2/policy/mle/camrest/config.json b/convlab2/policy/mle/camrest/config.json deleted file mode 100755 index b5971b0df5d7e19066363619133c7d373cd51642..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/camrest/config.json +++ /dev/null @@ -1,11 +0,0 @@ -{ - "batchsz": 32, - "epoch": 16, - "lr": 0.01, - "save_dir": "save", - "log_dir": "log", - "print_per_batch": 10, - "save_per_epoch": 5, - "h_dim": 10, - "load": "save/best" -} \ No newline at end of file diff --git a/convlab2/policy/mle/camrest/loader.py b/convlab2/policy/mle/camrest/loader.py deleted file mode 100755 index 1fadc13f2cb68f5243a271940b82aa1cda277a83..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/camrest/loader.py +++ /dev/null @@ -1,55 +0,0 @@ -import os -import json -import pickle -import zipfile -from convlab2.util.camrest.state import default_state -from convlab2.util.dataloader.module_dataloader import ActPolicyDataloader -from convlab2.policy.vector.vector_camrest import CamrestVector - -class ActPolicyDataLoaderCamrest(ActPolicyDataloader): - - def __init__(self): - root_dir = os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__)))))) - voc_file = os.path.join(root_dir, 'data/camrest/sys_da_voc.txt') - voc_opp_file = os.path.join(root_dir, 'data/camrest/usr_da_voc.txt') - self.vector = CamrestVector(voc_file, voc_opp_file) - - processed_dir = os.path.join(os.path.dirname(os.path.abspath(__file__)), 'processed_data') - if os.path.exists(processed_dir): - print('Load processed data file') - self._load_data(processed_dir) - else: - print('Start preprocessing the dataset') - self._build_data(root_dir, processed_dir) - - def _build_data(self, root_dir, processed_dir): # TODO - raw_data = {} - for part in ['train', 'val', 'test']: - archive = zipfile.ZipFile(os.path.join(root_dir, 'data/camrest/{}.json.zip'.format(part)), 'r') - with archive.open('{}.json'.format(part), 'r') as f: - raw_data[part] = json.load(f) - - self.data = {} - for part in ['train', 'val', 'test']: - self.data[part] = [] - - for key in raw_data[part]: - sess = key['dial'] - state = default_state() - action = {} - for i, turn in enumerate(sess): - state['user_action'] = turn['usr']['dialog_act'] - if i + 1 == len(sess): - state['terminated'] = True - for da in turn['usr']['slu']: - if da['slots'][0][0] != 'slot': - state['belief_state'][da['slots'][0][0]] = da['slots'][0][1] - action = turn['sys']['dialog_act'] - self.data[part].append([self.vector.state_vectorize(state), - self.vector.action_vectorize(action)]) - state['system_action'] = turn['sys']['dialog_act'] - - os.makedirs(processed_dir) - for part in ['train', 'val', 'test']: - with open(os.path.join(processed_dir, '{}.pkl'.format(part)), 'wb') as f: - pickle.dump(self.data[part], f) diff --git a/convlab2/policy/mle/camrest/mle.py b/convlab2/policy/mle/camrest/mle.py deleted file mode 100755 index 933f0caff953a53b58ba056f955ffcd83a8c99ca..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/camrest/mle.py +++ /dev/null @@ -1,30 +0,0 @@ -# -*- coding: utf-8 -*- -import torch -import os -import json -from convlab2.policy.mle.mle import MLEAbstract -from convlab2.policy.rlmodule import MultiDiscretePolicy -from convlab2.policy.vector.vector_camrest import CamrestVector - -DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") - -DEFAULT_DIRECTORY = os.path.join(os.path.dirname(os.path.abspath(__file__)), "models") -DEFAULT_ARCHIVE_FILE = os.path.join(DEFAULT_DIRECTORY, "mle_policy_camrest.zip") - -class MLE(MLEAbstract): - - def __init__(self, - archive_file=DEFAULT_ARCHIVE_FILE, - model_file='https://convlab.blob.core.windows.net/convlab-2/mle_policy_camrest.zip'): - root_dir = os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__)))))) - - with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: - cfg = json.load(f) - - voc_file = os.path.join(root_dir, 'data/camrest/sys_da_voc.txt') - voc_opp_file = os.path.join(root_dir, 'data/camrest/usr_da_voc.txt') - self.vector = CamrestVector(voc_file, voc_opp_file) - - self.policy = MultiDiscretePolicy(self.vector.state_dim, cfg['h_dim'], self.vector.da_dim).to(device=DEVICE) - - self.load(archive_file, model_file, cfg['load']) diff --git a/convlab2/policy/mle/camrest/train.py b/convlab2/policy/mle/camrest/train.py deleted file mode 100755 index b6692732cbcc2fca6e1e01143407d3ccb6c68e78..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/camrest/train.py +++ /dev/null @@ -1,39 +0,0 @@ -import os -import torch -import logging -import json -import sys -root_dir = os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__)))))) -sys.path.append(root_dir) - -from convlab2.policy.rlmodule import MultiDiscretePolicy -from convlab2.policy.vector.vector_camrest import CamrestVector -from convlab2.policy.mle.train import MLE_Trainer_Abstract -from convlab2.policy.mle.multiwoz.loader import ActPolicyDataLoaderCamrest -from convlab2.util.train_util import init_logging_handler - -DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") - -class MLE_Trainer(MLE_Trainer_Abstract): - def __init__(self, manager, cfg): - self._init_data(manager, cfg) - voc_file = os.path.join(root_dir, 'data/camrest/sys_da_voc.txt') - voc_opp_file = os.path.join(root_dir, 'data/camrest/usr_da_voc.txt') - vector = CamrestVector(voc_file, voc_opp_file) - self.policy = MultiDiscretePolicy(vector.state_dim, cfg['h_dim'], vector.da_dim).to(device=DEVICE) - self.policy.eval() - self.policy_optim = torch.optim.Adam(self.policy.parameters(), lr=cfg['lr']) - -if __name__ == '__main__': - manager = ActPolicyDataLoaderCamrest() - with open('config.json', 'r') as f: - cfg = json.load(f) - init_logging_handler(cfg['log_dir']) - agent = MLE_Trainer(manager, cfg) - - logging.debug('start training') - - best = float('inf') - for e in range(cfg['epoch']): - agent.imitating(e) - best = agent.imit_test(e, best) diff --git a/convlab2/policy/mle/multiwoz/config.json b/convlab2/policy/mle/config.json similarity index 100% rename from convlab2/policy/mle/multiwoz/config.json rename to convlab2/policy/mle/config.json diff --git a/convlab2/policy/mle/crosswoz/README.md b/convlab2/policy/mle/crosswoz/README.md deleted file mode 100755 index a0ebf6a8d8018a5beb630ea7e23791714039b39d..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/crosswoz/README.md +++ /dev/null @@ -1,15 +0,0 @@ -# Imitation on CrossWOZ - -Vanilla MLE Policy employs a multi-class classification via Imitation Learning with a set of compositional actions where a compositional action consists of a set of dialog act items. - -## Train - -``` -python train.py -``` - -You can modify *config.json* to change the setting. - -## Data - -data/crosswoz/[train/val/test].json diff --git a/convlab2/policy/mle/crosswoz/__init__.py b/convlab2/policy/mle/crosswoz/__init__.py deleted file mode 100755 index 63353185bd8c7604156a5a519442f630a2486275..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/crosswoz/__init__.py +++ /dev/null @@ -1 +0,0 @@ -from convlab2.policy.mle.crosswoz.mle import MLE \ No newline at end of file diff --git a/convlab2/policy/mle/crosswoz/config.json b/convlab2/policy/mle/crosswoz/config.json deleted file mode 100755 index e98b3adcfa890ef276066e03c6bbfe3c25f7489f..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/crosswoz/config.json +++ /dev/null @@ -1,11 +0,0 @@ -{ - "batchsz": 32, - "epoch": 20, - "lr": 0.001, - "save_dir": "save", - "log_dir": "log", - "print_per_batch": 400, - "save_per_epoch": 5, - "h_dim": 100, - "load": "save/best" -} \ No newline at end of file diff --git a/convlab2/policy/mle/crosswoz/evaluate.py b/convlab2/policy/mle/crosswoz/evaluate.py deleted file mode 100755 index b7ce836f41011a43ffec72ef3ceb7c07b9bed984..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/crosswoz/evaluate.py +++ /dev/null @@ -1,237 +0,0 @@ -from convlab2.policy.mle.crosswoz.mle import MLE -from convlab2.dst.rule.crosswoz.dst import RuleDST -from convlab2.util.crosswoz.state import default_state -from convlab2.policy.rule.crosswoz.rule_simulator import Simulator -from convlab2.dialog_agent import PipelineAgent, BiSession -from convlab2.util.crosswoz.lexicalize import delexicalize_da -from convlab2.nlu.jointBERT.crosswoz.nlu import BERTNLU -from convlab2.nlg.template.crosswoz.nlg import TemplateNLG -from convlab2.nlg.sclstm.crosswoz.sc_lstm import SCLSTM -import os -import zipfile -import json -from copy import deepcopy -import random -import numpy as np -from pprint import pprint -import torch - - -def read_zipped_json(filepath, filename): - archive = zipfile.ZipFile(filepath, 'r') - return json.load(archive.open(filename)) - - -def calculateF1(predict_golden): - TP, FP, FN = 0, 0, 0 - for item in predict_golden: - predicts = item['predict'] - labels = item['golden'] - for quad in predicts: - if quad in labels: - TP += 1 - else: - FP += 1 - for quad in labels: - if quad not in predicts: - FN += 1 - print(TP, FP, FN) - precision = 1.0 * TP / (TP + FP) if (TP + FP) else 0. - recall = 1.0 * TP / (TP + FN) if (TP + FN) else 0. - F1 = 2.0 * precision * recall / (precision + recall) if (precision + recall) else 0. - return precision, recall, F1 - - -def evaluate_corpus_f1(policy, data, goal_type=None): - dst = RuleDST() - da_predict_golden = [] - delex_da_predict_golden = [] - for task_id, sess in data.items(): - if goal_type and sess['type']!=goal_type: - continue - dst.init_session() - for i, turn in enumerate(sess['messages']): - if turn['role'] == 'usr': - dst.update(usr_da=turn['dialog_act']) - if i + 2 == len(sess): - dst.state['terminated'] = True - else: - for domain, svs in turn['sys_state'].items(): - for slot, value in svs.items(): - if slot != 'selectedResults': - dst.state['belief_state'][domain][slot] = value - golden_da = turn['dialog_act'] - - predict_da = policy.predict(deepcopy(dst.state)) - # print(golden_da) - # print(predict_da) - # print() - # if 'Select' in [x[0] for x in sess['messages'][i - 1]['dialog_act']]: - da_predict_golden.append({ - 'predict': predict_da, - 'golden': golden_da - }) - delex_da_predict_golden.append({ - 'predict': delexicalize_da(predict_da), - 'golden': delexicalize_da(golden_da) - }) - # print(delex_da_predict_golden[-1]) - dst.state['system_action'] = golden_da - # break - print('origin precision/recall/f1:', calculateF1(da_predict_golden)) - print('delex precision/recall/f1:', calculateF1(delex_da_predict_golden)) - - -def end2end_evaluate_simulation(policy): - nlu = BERTNLU() - nlg_usr = TemplateNLG(is_user=True, mode='auto_manual') - nlg_sys = TemplateNLG(is_user=False, mode='auto_manual') - # nlg_usr = SCLSTM(is_user=True, use_cuda=False) - # nlg_sys = SCLSTM(is_user=False, use_cuda=False) - usr_policy = Simulator() - usr_agent = PipelineAgent(nlu, None, usr_policy, nlg_usr, name='user') - sys_policy = policy - sys_dst = RuleDST() - sys_agent = PipelineAgent(nlu, sys_dst, sys_policy, nlg_sys, name='sys') - sess = BiSession(sys_agent=sys_agent, user_agent=usr_agent) - - task_finish = {'All': list(), '单领域': list(), '独立多领域': list(), '独立多领域+交通': list(), '不独立多领域': list(), - '不独立多领域+交通': list()} - simulate_sess_num = 100 - repeat = 10 - random_seed = 2019 - random.seed(random_seed) - np.random.seed(random_seed) - torch.manual_seed(random_seed) - random_seeds = [random.randint(1, 2**32-1) for _ in range(simulate_sess_num * repeat * 10000)] - while True: - sys_response = '' - random_seed = random_seeds[0] - random.seed(random_seed) - np.random.seed(random_seed) - torch.manual_seed(random_seed) - random_seeds.pop(0) - sess.init_session() - # print(usr_policy.goal_type) - if len(task_finish[usr_policy.goal_type]) == simulate_sess_num*repeat: - continue - for i in range(15): - sys_response, user_response, session_over, reward = sess.next_turn(sys_response) - # print('user:', user_response) - # print('sys:', sys_response) - # print(session_over, reward) - # print() - if session_over is True: - task_finish['All'].append(1) - task_finish[usr_policy.goal_type].append(1) - break - else: - task_finish['All'].append(0) - task_finish[usr_policy.goal_type].append(0) - print([len(x) for x in task_finish.values()]) - # print(min([len(x) for x in task_finish.values()])) - if len(task_finish['All']) % 100 == 0: - for k, v in task_finish.items(): - print(k) - all_samples = [] - for i in range(repeat): - samples = v[i * simulate_sess_num:(i + 1) * simulate_sess_num] - all_samples += samples - print(sum(samples), len(samples), (sum(samples) / len(samples)) if len(samples) else 0) - print('avg', (sum(all_samples) / len(all_samples)) if len(all_samples) else 0) - if min([len(x) for x in task_finish.values()]) == simulate_sess_num*repeat: - break - # pprint(usr_policy.original_goal) - # pprint(task_finish) - print('task_finish') - for k, v in task_finish.items(): - print(k) - all_samples = [] - for i in range(repeat): - samples = v[i * simulate_sess_num:(i + 1) * simulate_sess_num] - all_samples += samples - print(sum(samples), len(samples), (sum(samples) / len(samples)) if len(samples) else 0) - print('avg', (sum(all_samples) / len(all_samples)) if len(all_samples) else 0) - - -def da_evaluate_simulation(policy): - usr_policy = Simulator() - usr_agent = PipelineAgent(None, None, usr_policy, None, name='user') - sys_policy = policy - sys_dst = RuleDST() - sys_agent = PipelineAgent(None, sys_dst, sys_policy, None, name='sys') - sess = BiSession(sys_agent=sys_agent, user_agent=usr_agent) - - task_finish = {'All': list(), '单领域': list(), '独立多领域': list(), '独立多领域+交通': list(), '不独立多领域': list(), - '不独立多领域+交通': list()} - simulate_sess_num = 100 - repeat = 10 - random_seed = 2019 - random.seed(random_seed) - np.random.seed(random_seed) - torch.manual_seed(random_seed) - random_seeds = [random.randint(1, 2**32-1) for _ in range(simulate_sess_num * repeat * 10000)] - while True: - sys_response = [] - random_seed = random_seeds[0] - random.seed(random_seed) - np.random.seed(random_seed) - torch.manual_seed(random_seed) - random_seeds.pop(0) - sess.init_session() - # print(usr_policy.goal_type) - if len(task_finish[usr_policy.goal_type]) == simulate_sess_num*repeat: - continue - for i in range(15): - sys_response, user_response, session_over, reward = sess.next_turn(sys_response) - # print('user:', user_response) - # print('sys:', sys_response) - # print(session_over, reward) - # print() - if session_over is True: - # pprint(sys_agent.tracker.state) - task_finish['All'].append(1) - task_finish[usr_policy.goal_type].append(1) - break - else: - task_finish['All'].append(0) - task_finish[usr_policy.goal_type].append(0) - print([len(x) for x in task_finish.values()]) - # print(min([len(x) for x in task_finish.values()])) - if len(task_finish['All']) % 100 == 0: - for k, v in task_finish.items(): - print(k) - all_samples = [] - for i in range(repeat): - samples = v[i * simulate_sess_num:(i + 1) * simulate_sess_num] - all_samples += samples - print(sum(samples), len(samples), (sum(samples) / len(samples)) if len(samples) else 0) - print('avg', (sum(all_samples) / len(all_samples)) if len(all_samples) else 0) - if min([len(x) for x in task_finish.values()]) == simulate_sess_num*repeat: - break - # pprint(usr_policy.original_goal) - # pprint(task_finish) - print('task_finish') - for k, v in task_finish.items(): - print(k) - all_samples = [] - for i in range(repeat): - samples = v[i * simulate_sess_num:(i + 1) * simulate_sess_num] - all_samples += samples - print(sum(samples), len(samples), (sum(samples) / len(samples)) if len(samples) else 0) - print('avg', (sum(all_samples) / len(all_samples)) if len(all_samples) else 0) - - -if __name__ == '__main__': - random_seed = 2019 - random.seed(random_seed) - np.random.seed(random_seed) - torch.manual_seed(random_seed) - test_data = os.path.abspath(os.path.join(os.path.abspath(__file__),'../../../../../data/crosswoz/test.json.zip')) - test_data = read_zipped_json(test_data, 'test.json') - policy = MLE() - for goal_type in ['单领域','独立多领域','独立多领域+交通','不独立多领域','不独立多领域+交通',None]: - print(goal_type) - evaluate_corpus_f1(policy, test_data, goal_type=goal_type) - da_evaluate_simulation(policy) - end2end_evaluate_simulation(policy) diff --git a/convlab2/policy/mle/crosswoz/loader.py b/convlab2/policy/mle/crosswoz/loader.py deleted file mode 100755 index c29c11cabdfc95de0ab220114e3d08165962d695..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/crosswoz/loader.py +++ /dev/null @@ -1,101 +0,0 @@ -import os -import json -import pickle -import zipfile -import torch -import torch.utils.data as data -from convlab2.util.crosswoz.state import default_state -from convlab2.dst.rule.crosswoz.dst import RuleDST -from convlab2.policy.vector.vector_crosswoz import CrossWozVector -from copy import deepcopy - - -class PolicyDataLoaderCrossWoz(): - - def __init__(self): - root_dir = os.path.dirname( - os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__)))))) - voc_file = os.path.join(root_dir, 'data/crosswoz/sys_da_voc.json') - voc_opp_file = os.path.join(root_dir, 'data/crosswoz/usr_da_voc.json') - self.vector = CrossWozVector(sys_da_voc_json=voc_file, usr_da_voc_json=voc_opp_file) - - processed_dir = os.path.join(os.path.dirname(os.path.abspath(__file__)), 'processed_data') - if os.path.exists(processed_dir): - print('Load processed data file') - self._load_data(processed_dir) - else: - print('Start preprocessing the dataset') - self._build_data(root_dir, processed_dir) - - def _build_data(self, root_dir, processed_dir): - raw_data = {} - for part in ['train', 'val', 'test']: - archive = zipfile.ZipFile(os.path.join(root_dir, 'data/crosswoz/{}.json.zip'.format(part)), 'r') - with archive.open('{}.json'.format(part), 'r') as f: - raw_data[part] = json.load(f) - - self.data = {} - # for cur domain update - dst = RuleDST() - for part in ['train', 'val', 'test']: - self.data[part] = [] - - for key in raw_data[part]: - sess = raw_data[part][key]['messages'] - dst.init_session() - for i, turn in enumerate(sess): - if turn['role'] == 'usr': - dst.state['user_action'] = turn['dialog_act'] - dst.update(usr_da=turn['dialog_act']) - if i + 2 == len(sess): - dst.state['terminated'] = True - else: - for domain, svs in turn['sys_state'].items(): - for slot, value in svs.items(): - if slot != 'selectedResults': - dst.state['belief_state'][domain][slot] = value - action = turn['dialog_act'] - self.data[part].append([self.vector.state_vectorize(deepcopy(dst.state)), - self.vector.action_vectorize(action)]) - dst.state['system_action'] = turn['dialog_act'] - - os.makedirs(processed_dir) - for part in ['train', 'val', 'test']: - with open(os.path.join(processed_dir, '{}.pkl'.format(part)), 'wb') as f: - pickle.dump(self.data[part], f) - - def _load_data(self, processed_dir): - self.data = {} - for part in ['train', 'val', 'test']: - with open(os.path.join(processed_dir, '{}.pkl'.format(part)), 'rb') as f: - self.data[part] = pickle.load(f) - - def create_dataset(self, part, batchsz): - print('Start creating {} dataset'.format(part)) - s = [] - a = [] - for item in self.data[part]: - s.append(torch.Tensor(item[0])) - a.append(torch.Tensor(item[1])) - s = torch.stack(s) - a = torch.stack(a) - dataset = Dataset(s, a) - dataloader = data.DataLoader(dataset, batchsz, True) - print('Finish creating {} dataset'.format(part)) - return dataloader - - -class Dataset(data.Dataset): - def __init__(self, s_s, a_s): - self.s_s = s_s - self.a_s = a_s - self.num_total = len(s_s) - - def __getitem__(self, index): - s = self.s_s[index] - a = self.a_s[index] - return s, a - - def __len__(self): - return self.num_total - diff --git a/convlab2/policy/mle/crosswoz/mle.py b/convlab2/policy/mle/crosswoz/mle.py deleted file mode 100755 index ef65fd72918719c2d14345329c0c6dc69c21a0b0..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/crosswoz/mle.py +++ /dev/null @@ -1,44 +0,0 @@ -# -*- coding: utf-8 -*- -import torch -import os -import json -import zipfile -from convlab2.util.file_util import cached_path -from convlab2.policy.mle.mle import MLEAbstract -from convlab2.policy.rlmodule import MultiDiscretePolicy -from convlab2.policy.vector.vector_crosswoz import CrossWozVector - -DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") - -DEFAULT_DIRECTORY = os.path.join(os.path.dirname(os.path.abspath(__file__)), "models") -DEFAULT_ARCHIVE_FILE = os.path.join(DEFAULT_DIRECTORY, "mle_policy_crosswoz.zip") - - -class MLE(MLEAbstract): - - def __init__(self, - archive_file=DEFAULT_ARCHIVE_FILE, - model_file='https://convlab.blob.core.windows.net/convlab-2/mle_policy_crosswoz.zip'): - root_dir = os.path.dirname( - os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__)))))) - - with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: - cfg = json.load(f) - - voc_file = os.path.join(root_dir, 'data/crosswoz/sys_da_voc.json') - voc_opp_file = os.path.join(root_dir, 'data/crosswoz/usr_da_voc.json') - self.vector = CrossWozVector(sys_da_voc_json=voc_file, usr_da_voc_json=voc_opp_file) - - self.policy = MultiDiscretePolicy(self.vector.state_dim, cfg['h_dim'], self.vector.sys_da_dim).to(device=DEVICE) - - if not os.path.isfile(archive_file): - if not model_file: - raise Exception("No model for MLE Policy is specified!") - archive_file = cached_path(model_file) - model_dir = os.path.join(os.path.dirname(os.path.abspath(__file__)), 'save') - if not os.path.exists(model_dir): - os.mkdir(model_dir) - if not os.path.exists(os.path.join(model_dir, 'best_mle.pol.mdl')): - archive = zipfile.ZipFile(archive_file, 'r') - archive.extractall(model_dir) - self.load_from_pretrained(archive_file, model_file, cfg['load']) diff --git a/convlab2/policy/mle/crosswoz/train.py b/convlab2/policy/mle/crosswoz/train.py deleted file mode 100755 index f8877c9cfa78d4baeac0e230a7d6c8e16f9c2c35..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/crosswoz/train.py +++ /dev/null @@ -1,160 +0,0 @@ -import os -import torch -import logging -import torch.nn as nn -import json -import pickle -import sys -import random -import numpy as np - -root_dir = os.path.dirname( - os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__)))))) -sys.path.append(root_dir) - -from convlab2.policy.rlmodule import MultiDiscretePolicy -from convlab2.policy.vector.vector_crosswoz import CrossWozVector -from convlab2.policy.mle.crosswoz.loader import PolicyDataLoaderCrossWoz -from convlab2.util.train_util import to_device, init_logging_handler - -DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") - - -class MLE_Trainer(): - def __init__(self, manager, cfg): - self.data_train = manager.create_dataset('train', cfg['batchsz']) - self.data_valid = manager.create_dataset('val', cfg['batchsz']) - self.data_test = manager.create_dataset('test', cfg['batchsz']) - self.save_dir = cfg['save_dir'] - self.print_per_batch = cfg['print_per_batch'] - self.save_per_epoch = cfg['save_per_epoch'] - - voc_file = os.path.join(root_dir, 'data/crosswoz/sys_da_voc.json') - voc_opp_file = os.path.join(root_dir, 'data/crosswoz/usr_da_voc.json') - vector = CrossWozVector(voc_file, voc_opp_file) - self.policy = MultiDiscretePolicy(vector.state_dim, cfg['h_dim'], vector.sys_da_dim).to(device=DEVICE) - self.policy.eval() - self.policy_optim = torch.optim.Adam(self.policy.parameters(), lr=cfg['lr']) - self.multi_entropy_loss = nn.MultiLabelSoftMarginLoss() - - def policy_loop(self, data): - s, target_a = to_device(data) - a_weights = self.policy(s) - - loss_a = self.multi_entropy_loss(a_weights, target_a) - return loss_a - - def imitating(self, epoch): - """ - pretrain the policy by simple imitation learning (behavioral cloning) - """ - self.policy.train() - a_loss = 0. - for i, data in enumerate(self.data_train): - self.policy_optim.zero_grad() - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - loss_a.backward() - self.policy_optim.step() - - if (i + 1) % self.print_per_batch == 0: - a_loss /= self.print_per_batch - logging.debug('<<dialog policy>> epoch {}, iter {}, loss_a:{}'.format(epoch, i, a_loss)) - a_loss = 0. - - if (epoch + 1) % self.save_per_epoch == 0: - self.save(self.save_dir, epoch) - self.policy.eval() - - def imit_test(self, epoch, best): - """ - provide an unbiased evaluation of the policy fit on the training dataset - """ - a_loss = 0. - for i, data in enumerate(self.data_valid): - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - - a_loss /= len(self.data_valid) - logging.debug('<<dialog policy>> validation, epoch {}, loss_a:{}'.format(epoch, a_loss)) - if a_loss < best: - logging.info('<<dialog policy>> best model saved') - best = a_loss - self.save(self.save_dir, 'best') - - a_loss = 0. - for i, data in enumerate(self.data_test): - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - - a_loss /= len(self.data_test) - logging.debug('<<dialog policy>> test, epoch {}, loss_a:{}'.format(epoch, a_loss)) - return best - - def test(self): - def f1(a, target): - TP, FP, FN = 0, 0, 0 - real = target.nonzero().tolist() - predict = a.nonzero().tolist() - # print(real) - # print(predict) - # print() - for item in real: - if item in predict: - TP += 1 - else: - FN += 1 - for item in predict: - if item not in real: - FP += 1 - return TP, FP, FN - - a_TP, a_FP, a_FN = 0, 0, 0 - for i, data in enumerate(self.data_test): - s, target_a = to_device(data) - a_weights = self.policy(s) - a = a_weights.ge(0) - # TODO: fix batch F1 - TP, FP, FN = f1(a, target_a) - a_TP += TP - a_FP += FP - a_FN += FN - - prec = a_TP / (a_TP + a_FP) - rec = a_TP / (a_TP + a_FN) - F1 = 2 * prec * rec / (prec + rec) - print(a_TP, a_FP, a_FN, F1) - - def save(self, directory, epoch): - if not os.path.exists(directory): - os.makedirs(directory) - - torch.save(self.policy.state_dict(), directory + '/' + str(epoch) + '_mle.pol.mdl') - - logging.info('<<dialog policy>> epoch {}: saved network to mdl'.format(epoch)) - - def load(self, filename='save/best'): - policy_mdl = os.path.join(os.path.dirname(os.path.abspath(__file__)), filename + '_mle.pol.mdl') - if os.path.exists(policy_mdl): - self.policy.load_state_dict(torch.load(policy_mdl)) - - -if __name__ == '__main__': - random_seed = 2019 - random.seed(random_seed) - np.random.seed(random_seed) - torch.manual_seed(random_seed) - manager = PolicyDataLoaderCrossWoz() - with open('config.json', 'r') as f: - cfg = json.load(f) - init_logging_handler(cfg['log_dir']) - agent = MLE_Trainer(manager, cfg) - agent.load() - - logging.debug('start training') - - best = float('inf') - for e in range(cfg['epoch']): - agent.imitating(e) - best = agent.imit_test(e, best) - # agent.test() # 5731 1483 1880 0.7731534569983137 diff --git a/convlab2/policy/mle/loader.py b/convlab2/policy/mle/loader.py index 349783d8262d7dc137b3541023f069bba2a6772a..4cd966342f623c85601d9f17289ffbeabe63de09 100755 --- a/convlab2/policy/mle/loader.py +++ b/convlab2/policy/mle/loader.py @@ -3,63 +3,88 @@ import pickle import torch import torch.utils.data as data +from convlab2.policy.vector.vector_binary import VectorBinary +from convlab2.util import load_policy_data, load_dataset +from convlab2.util.custom_util import flatten_acts from convlab2.util.multiwoz.state import default_state from convlab2.policy.vector.dataset import ActDataset -from convlab2.util.dataloader.dataset_dataloader import MultiWOZDataloader -from convlab2.util.dataloader.module_dataloader import ActPolicyDataloader -class ActMLEPolicyDataLoader: +class PolicyDataVectorizer: - def __init__(self): - self.vector = None + def __init__(self, dataset_name='multiwoz21', vector=None): + self.dataset_name = dataset_name + if vector is None: + self.vector = VectorBinary(dataset_name) + else: + self.vector = vector + self.process_data() + + def process_data(self): + + processed_dir = os.path.join(os.path.dirname(os.path.abspath(__file__)), + f'processed_data/{self.dataset_name}_{type(self.vector).__name__}') + if os.path.exists(processed_dir): + print('Load processed data file') + self._load_data(processed_dir) + else: + print('Start preprocessing the dataset, this can take a while..') + self._build_data(processed_dir) - def _build_data(self, root_dir, processed_dir): + def _build_data(self, processed_dir): self.data = {} - print("Initialise DataLoader") - data_loader = ActPolicyDataloader(dataset_dataloader=MultiWOZDataloader()) - raw_data_all = data_loader.load_data(data_key='all', role='sys') - for part in ['train', 'val', 'test']: - self.data[part] = [] - raw_data = raw_data_all[part] - - for belief_state, context_dialog_act, terminated, dialog_act, goal in \ - zip(raw_data['belief_state'], raw_data['context_dialog_act'], raw_data['terminated'], - raw_data['dialog_act'], raw_data['goal']): + os.makedirs(processed_dir, exist_ok=True) + dataset = load_dataset(self.dataset_name) + data_split = load_policy_data(dataset, context_window_size=2) + + for split in data_split: + self.data[split] = [] + raw_data = data_split[split] + + for data_point in raw_data: state = default_state() - state['belief_state'] = belief_state - state['user_action'] = context_dialog_act[-1] - state['system_action'] = context_dialog_act[-2] if len(context_dialog_act) > 1 else {} - state['terminated'] = terminated - action = dialog_act - self.data[part].append([self.vector.state_vectorize(state), - self.vector.action_vectorize(action)]) - os.makedirs(processed_dir) - for part in ['train', 'val', 'test']: - with open(os.path.join(processed_dir, '{}.pkl'.format(part)), 'wb') as f: - pickle.dump(self.data[part], f) + state['belief_state'] = data_point['context'][-1]['state'] + state['user_action'] = flatten_acts(data_point['context'][-1]['dialogue_acts']) + last_system_act = data_point['context'][-2]['dialogue_acts'] \ + if len(data_point['context']) > 1 else {} + state['system_action'] = flatten_acts(last_system_act) + state['terminated'] = data_point['terminated'] + state['booked'] = data_point['booked'] + dialogue_act = flatten_acts(data_point['dialogue_acts']) + + vectorized_state, mask = self.vector.state_vectorize(state) + vectorized_action = self.vector.action_vectorize(dialogue_act) + self.data[split].append({"state": vectorized_state, "action": vectorized_action, "mask": mask, + "terminated": state['terminated']}) + + with open(os.path.join(processed_dir, '{}.pkl'.format(split)), 'wb') as f: + pickle.dump(self.data[split], f) + + print("Data processing done.") def _load_data(self, processed_dir): self.data = {} - for part in ['train', 'val', 'test']: + for part in ['train', 'validation', 'test']: with open(os.path.join(processed_dir, '{}.pkl'.format(part)), 'rb') as f: self.data[part] = pickle.load(f) def create_dataset(self, part, batchsz): - print('Start creating {} dataset'.format(part)) - s = [] - a = [] - m = [] + states = [] + actions = [] + masks = [] for item in self.data[part]: - s.append(torch.Tensor(item[0][0])) - a.append(torch.Tensor(item[1])) - m.append(torch.zeros(len(item[1]))) - s = torch.stack(s) - a = torch.stack(a) - m = torch.stack(m) + states.append(torch.Tensor(item['state'])) + actions.append(torch.Tensor(item['action'])) + masks.append(torch.Tensor(item['mask'])) + s = torch.stack(states) + a = torch.stack(actions) + m = torch.stack(masks) dataset = ActDataset(s, a, m) dataloader = data.DataLoader(dataset, batchsz, True) - print('Finish creating {} dataset'.format(part)) return dataloader + + +if __name__ == '__main__': + data_loader = PolicyDataVectorizer() diff --git a/convlab2/policy/mle/mle.py b/convlab2/policy/mle/mle.py index 5a725f3659474e13b33a0472b602f86ab6974d14..b958048395b4013583dc2a387626a7d3789741aa 100755 --- a/convlab2/policy/mle/mle.py +++ b/convlab2/policy/mle/mle.py @@ -1,19 +1,26 @@ # -*- coding: utf-8 -*- +import zipfile +import logging import torch import os -import zipfile +import json + from convlab2.policy.policy import Policy from convlab2.util.file_util import cached_path -import logging +from convlab2.policy.rlmodule import MultiDiscretePolicy +from convlab2.policy.vector.vector_binary import VectorBinary DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") +DEFAULT_DIRECTORY = os.path.join(os.path.dirname(os.path.abspath(__file__)), "models") +DEFAULT_ARCHIVE_FILE = os.path.join(DEFAULT_DIRECTORY, "mle_policy_multiwoz.zip") + class MLEAbstract(Policy): - def __init__(self, archive_file, model_file): - self.vector = None - self.policy = None + def __init__(self, vector, policy): + self.vector = vector + self.policy = policy def predict(self, state): """ @@ -26,7 +33,7 @@ class MLEAbstract(Policy): s_vec, m = self.vector.state_vectorize(state) s_vec = torch.Tensor(s_vec) m = torch.from_numpy(m).to(DEVICE) - a = self.policy.select_action(s_vec.to(device=DEVICE), action_mask=m).cpu() + a = self.policy.select_action(s_vec.to(device=DEVICE), False, action_mask=m).cpu() action = self.vector.action_devectorize(a.detach().numpy()) state['system_action'] = action return action @@ -67,3 +74,34 @@ class MLEAbstract(Policy): self.policy.load_state_dict(torch.load(policy_mdl, map_location=DEVICE)) logging.info('<<dialog policy>> loaded checkpoint from file: {}'.format(policy_mdl)) break + + +class MLE(MLEAbstract): + + def __init__(self): + with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: + cfg = json.load(f) + + self.vector = VectorBinary() + self.policy = MultiDiscretePolicy(self.vector.state_dim, cfg['h_dim'], self.vector.da_dim).to(device=DEVICE) + + @classmethod + def from_pretrained(cls, + archive_file=DEFAULT_ARCHIVE_FILE, + model_file='https://convlab.blob.core.windows.net/convlab-2/mle_policy_multiwoz.zip'): + with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: + cfg = json.load(f) + model = cls() + model.load_from_pretrained(archive_file, model_file, cfg['load']) + return model + + +class MLEPolicy(MLE): + def __init__(self, + archive_file=DEFAULT_ARCHIVE_FILE, + model_file='https://convlab.blob.core.windows.net/convlab-2/mle_policy_multiwoz.zip'): + super().__init__() + if model_file: + with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: + cfg = json.load(f) + self.load_from_pretrained(archive_file, model_file, cfg['load']) diff --git a/convlab2/policy/mle/multiwoz/README.md b/convlab2/policy/mle/multiwoz/README.md deleted file mode 100755 index 43e38dfcab865084be71e82971ccb1f7c46a2d5f..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/multiwoz/README.md +++ /dev/null @@ -1,27 +0,0 @@ -# Imitation on multiwoz - -Vanilla MLE Policy employs a multi-class classification via Imitation Learning with a set of compositional actions where a compositional action consists of a set of dialog act items. - -## Train - -``` -python train.py -``` - -You can modify *config.json* to change the setting. - -## Data - -data/multiwoz/[train/val/test].json - -## Trained Model - -Performance: - -| Task Success Rate | -| ------------ | -| 0.56 | - -The model can be downloaded from: - -https://convlab.blob.core.windows.net/convlab-2/mle_policy_multiwoz.zip diff --git a/convlab2/policy/mle/multiwoz/__init__.py b/convlab2/policy/mle/multiwoz/__init__.py deleted file mode 100755 index bfa5bab8f352f411fd46a4cc9878482526fc7b21..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/multiwoz/__init__.py +++ /dev/null @@ -1,2 +0,0 @@ -from convlab2.policy.mle.multiwoz.mle import MLE -from convlab2.policy.mle.multiwoz.mle import MLEPolicy \ No newline at end of file diff --git a/convlab2/policy/mle/multiwoz/loader.py b/convlab2/policy/mle/multiwoz/loader.py deleted file mode 100755 index 13ea8f35dcd10eb2b970487c00eee22bb2408a01..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/multiwoz/loader.py +++ /dev/null @@ -1,25 +0,0 @@ -import os -from convlab2.policy.vector.vector_multiwoz import MultiWozVector -from convlab2.policy.mle.loader import ActMLEPolicyDataLoader - - -class ActMLEPolicyDataLoaderMultiWoz(ActMLEPolicyDataLoader): - - def __init__(self, vectoriser=None): - root_dir = os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__)))))) - if vectoriser: - self.vector = vectoriser - else: - print("We use vanilla Vectoriser") - self.vector = MultiWozVector() - - processed_dir = os.path.join(os.path.dirname(os.path.abspath(__file__)), 'processed_data') - - if os.path.exists(processed_dir): - print('Load processed data file') - self._load_data(processed_dir) - else: - print('Start preprocessing the dataset') - self._build_data(root_dir, processed_dir) - - diff --git a/convlab2/policy/mle/multiwoz/mle.py b/convlab2/policy/mle/multiwoz/mle.py deleted file mode 100755 index b614b55e733c6b74565a2cdf1079bf3857869dd5..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/multiwoz/mle.py +++ /dev/null @@ -1,47 +0,0 @@ -# -*- coding: utf-8 -*- -import torch -import os -import json -from convlab2.policy.mle.mle import MLEAbstract -from convlab2.policy.rlmodule import MultiDiscretePolicy -from convlab2.policy.vector.vector_multiwoz import MultiWozVector - -DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") - -DEFAULT_DIRECTORY = os.path.join(os.path.dirname(os.path.abspath(__file__)), "models") -DEFAULT_ARCHIVE_FILE = os.path.join(DEFAULT_DIRECTORY, "mle_policy_multiwoz.zip") - - -class MLE(MLEAbstract): - - def __init__(self): - root_dir = os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__)))))) - - with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: - cfg = json.load(f) - - voc_file = os.path.join(root_dir, 'data/multiwoz/sys_da_voc.txt') - voc_opp_file = os.path.join(root_dir, 'data/multiwoz/usr_da_voc.txt') - self.vector = MultiWozVector(voc_file, voc_opp_file) - - self.policy = MultiDiscretePolicy(self.vector.state_dim, cfg['h_dim'], self.vector.da_dim).to(device=DEVICE) - - @classmethod - def from_pretrained(cls, - archive_file=DEFAULT_ARCHIVE_FILE, - model_file='https://convlab.blob.core.windows.net/convlab-2/mle_policy_multiwoz.zip'): - with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: - cfg = json.load(f) - model = cls() - model.load_from_pretrained(archive_file, model_file, cfg['load']) - return model - -class MLEPolicy(MLE): - def __init__(self, - archive_file=DEFAULT_ARCHIVE_FILE, - model_file='https://convlab.blob.core.windows.net/convlab-2/mle_policy_multiwoz.zip'): - super().__init__() - if model_file: - with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: - cfg = json.load(f) - self.load_from_pretrained(archive_file, model_file, cfg['load']) \ No newline at end of file diff --git a/convlab2/policy/mle/multiwoz/train.py b/convlab2/policy/mle/multiwoz/train.py deleted file mode 100755 index a9e848cabb3c58c5627065cbef3aea740fdcc1f9..0000000000000000000000000000000000000000 --- a/convlab2/policy/mle/multiwoz/train.py +++ /dev/null @@ -1,235 +0,0 @@ -import argparse -import os -import torch -import logging -import json -import sys -from torch import nn - -from convlab2.util.custom_util import set_seed, init_logging, save_config -from convlab2.util.train_util import to_device - -root_dir = os.path.dirname( - os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__))))) -sys.path.append(root_dir) - -from convlab2.policy.rlmodule import MultiDiscretePolicy -from convlab2.policy.vector.vector_multiwoz import MultiWozVector -from convlab2.policy.mle.multiwoz.loader import ActMLEPolicyDataLoaderMultiWoz - -DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") - - -class MLE_Trainer_Abstract(): - def __init__(self, manager, cfg): - self._init_data(manager, cfg) - self.policy = None - self.policy_optim = None - - def _init_data(self, manager, cfg): - self.data_train = manager.create_dataset('train', cfg['batchsz']) - self.data_valid = manager.create_dataset('val', cfg['batchsz']) - self.data_test = manager.create_dataset('test', cfg['batchsz']) - self.save_dir = cfg['save_dir'] - self.multi_entropy_loss = nn.MultiLabelSoftMarginLoss() - - def policy_loop(self, data): - s, target_a, mask = to_device(data) - a_weights = self.policy(s) - - loss_a = self.multi_entropy_loss(a_weights + mask, target_a) - return loss_a - - def imitating(self, epoch): - """ - pretrain the policy by simple imitation learning (behavioral cloning) - """ - self.policy.train() - a_loss = 0. - for i, data in enumerate(self.data_train): - self.policy_optim.zero_grad() - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - loss_a.backward() - self.policy_optim.step() - - self.policy.eval() - - def imit_test(self, epoch, best): - """ - provide an unbiased evaluation of the policy fit on the training dataset - """ - a_loss = 0. - for i, data in enumerate(self.data_valid): - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - - a_loss /= len(self.data_valid) - logging.debug('<<dialog policy>> validation, epoch {}, loss_a:{}'.format(epoch, a_loss)) - if a_loss < best: - logging.info('<<dialog policy>> best model saved') - best = a_loss - self.save(self.save_dir, 'best') - - a_loss = 0. - for i, data in enumerate(self.data_test): - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - - a_loss /= len(self.data_test) - logging.debug('<<dialog policy>> test, epoch {}, loss_a:{}'.format(epoch, a_loss)) - return best - - def validate(self): - def f1(a, target): - TP, FP, FN = 0, 0, 0 - real = target.nonzero().tolist() - predict = a.nonzero().tolist() - for item in real: - if item in predict: - TP += 1 - else: - FN += 1 - for item in predict: - if item not in real: - FP += 1 - return TP, FP, FN - - a_TP, a_FP, a_FN = 0, 0, 0 - for i, data in enumerate(self.data_valid): - s, target_a, m = to_device(data) - a_weights = self.policy(s) - a_weights += m - a = a_weights.ge(0) - TP, FP, FN = f1(a, target_a) - a_TP += TP - a_FP += FP - a_FN += FN - - prec = a_TP / (a_TP + a_FP) - rec = a_TP / (a_TP + a_FN) - F1 = 2 * prec * rec / (prec + rec) - return prec, rec, F1 - - def test(self): - def f1(a, target): - TP, FP, FN = 0, 0, 0 - real = target.nonzero().tolist() - predict = a.nonzero().tolist() - for item in real: - if item in predict: - TP += 1 - else: - FN += 1 - for item in predict: - if item not in real: - FP += 1 - return TP, FP, FN - - a_TP, a_FP, a_FN = 0, 0, 0 - for i, data in enumerate(self.data_test): - s, target_a = to_device(data) - a_weights = self.policy(s) - a = a_weights.ge(0) - TP, FP, FN = f1(a, target_a) - a_TP += TP - a_FP += FP - a_FN += FN - - prec = a_TP / (a_TP + a_FP) - rec = a_TP / (a_TP + a_FN) - F1 = 2 * prec * rec / (prec + rec) - print(a_TP, a_FP, a_FN, F1) - - def save(self, directory, epoch): - if not os.path.exists(directory): - os.makedirs(directory) - - torch.save(self.policy.state_dict(), directory + '/supervised.pol.mdl') - - logging.info('<<dialog policy>> epoch {}: saved network to mdl'.format(epoch)) - - -class MLE_Trainer(MLE_Trainer_Abstract): - def __init__(self, manager, cfg): - self._init_data(manager, cfg) - - try: - self.use_entropy = manager.use_entropy - self.use_mutual_info = manager.use_mutual_info - self.use_confidence_scores = manager.use_confidence_scores - except: - self.use_entropy = False - self.use_mutual_info = False - self.use_confidence_scores = False - - vector = MultiWozVector() - # override the loss defined in the MLE_Trainer_Abstract to support pos_weight - pos_weight = cfg['pos_weight'] * torch.ones(vector.da_dim).to(device=DEVICE) - self.multi_entropy_loss = nn.BCEWithLogitsLoss(pos_weight=pos_weight) - logging.info(f"State dimension of policy: {vector.state_dim}") - logging.info(f"Action dimension of policy: {vector.da_dim}") - self.policy = MultiDiscretePolicy(vector.state_dim, cfg['h_dim'], vector.da_dim).to(device=DEVICE) - self.policy.eval() - self.policy_optim = torch.optim.RMSprop(self.policy.parameters(), lr=cfg['lr_supervised'], - weight_decay=cfg['weight_decay']) - - -def arg_parser(): - parser = argparse.ArgumentParser() - - parser.add_argument("--seed", type=int, default=0) - parser.add_argument("--eval_freq", type=int, default=1) - - args = parser.parse_args() - return args - - -if __name__ == '__main__': - - args = arg_parser() - - directory = os.path.dirname(os.path.abspath(__file__)) - with open(os.path.join(directory, 'config.json'), 'r') as f: - cfg = json.load(f) - - logger, tb_writer, current_time, save_path, config_save_path, dir_path, log_save_path = \ - init_logging(os.path.dirname(os.path.abspath(__file__)), "info") - save_config(vars(args), cfg, config_save_path) - - set_seed(args.seed) - logging.info(f"Seed used: {args.seed}") - - manager = ActMLEPolicyDataLoaderMultiWoz() - agent = MLE_Trainer(manager, cfg) - - logging.info('Start training') - - best_recall = 0.0 - best_precision = 0.0 - best_f1 = 0.0 - precision = 0 - recall = 0 - f1 = 0 - - for e in range(cfg['epoch']): - agent.imitating(e) - logging.info(f"Epoch: {e}") - - if e % args.eval_freq == 0 and e != 0: - precision, recall, f1 = agent.validate() - - logging.info(f"Precision: {precision}") - logging.info(f"Recall: {recall}") - logging.info(f"F1: {f1}") - - if precision > best_precision: - best_precision = precision - if recall > best_recall: - best_recall = recall - if f1 > best_f1: - best_f1 = f1 - agent.save(save_path, e) - logging.info(f"Best Precision: {best_precision}") - logging.info(f"Best Recall: {best_recall}") - logging.info(f"Best F1: {best_f1}") diff --git a/convlab2/policy/mle/train.py b/convlab2/policy/mle/train.py index 3661ac0504cfda6fe36a901b9dfcf24aa0c53ea5..ad810b270d2eef069ecb4bd3603c16de396063b8 100755 --- a/convlab2/policy/mle/train.py +++ b/convlab2/policy/mle/train.py @@ -1,35 +1,47 @@ +import argparse import os import torch import logging -import torch.nn as nn +import json +import sys +from torch import nn + +from convlab2.policy.mle.loader import PolicyDataVectorizer +from convlab2.util.custom_util import set_seed, init_logging, save_config from convlab2.util.train_util import to_device +from convlab2.policy.rlmodule import MultiDiscretePolicy +from convlab2.policy.vector.vector_binary import VectorBinary + +root_dir = os.path.dirname( + os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__))))) +sys.path.append(root_dir) DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") + class MLE_Trainer_Abstract(): def __init__(self, manager, cfg): self._init_data(manager, cfg) self.policy = None self.policy_optim = None - + def _init_data(self, manager, cfg): self.data_train = manager.create_dataset('train', cfg['batchsz']) - self.data_valid = manager.create_dataset('val', cfg['batchsz']) + self.data_valid = manager.create_dataset('validation', cfg['batchsz']) self.data_test = manager.create_dataset('test', cfg['batchsz']) self.save_dir = cfg['save_dir'] - self.print_per_batch = cfg['print_per_batch'] - self.save_per_epoch = cfg['save_per_epoch'] self.multi_entropy_loss = nn.MultiLabelSoftMarginLoss() - + def policy_loop(self, data): - s, target_a, m = to_device(data) + + s, target_a, mask = to_device(data) a_weights = self.policy(s) - - loss_a = self.multi_entropy_loss(a_weights, target_a) + + loss_a = self.multi_entropy_loss(a_weights + mask, target_a) return loss_a - - def imitating(self, epoch): + + def imitating(self): """ pretrain the policy by simple imitation learning (behavioral cloning) """ @@ -41,42 +53,10 @@ class MLE_Trainer_Abstract(): a_loss += loss_a.item() loss_a.backward() self.policy_optim.step() - - if (i+1) % self.print_per_batch == 0: - a_loss /= self.print_per_batch - logging.debug('<<dialog policy>> epoch {}, iter {}, loss_a:{}'.format(epoch, i, a_loss)) - a_loss = 0. - - if (epoch+1) % self.save_per_epoch == 0: - self.save(self.save_dir, epoch) + self.policy.eval() - - def imit_test(self, epoch, best): - """ - provide an unbiased evaluation of the policy fit on the training dataset - """ - a_loss = 0. - for i, data in enumerate(self.data_valid): - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - - a_loss /= len(self.data_valid) - logging.debug('<<dialog policy>> validation, epoch {}, loss_a:{}'.format(epoch, a_loss)) - if a_loss < best: - logging.info('<<dialog policy>> best model saved') - best = a_loss - self.save(self.save_dir, 'best') - - a_loss = 0. - for i, data in enumerate(self.data_test): - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - - a_loss /= len(self.data_test) - logging.debug('<<dialog policy>> test, epoch {}, loss_a:{}'.format(epoch, a_loss)) - return best - def test(self): + def validate(self): def f1(a, target): TP, FP, FN = 0, 0, 0 real = target.nonzero().tolist() @@ -90,27 +70,148 @@ class MLE_Trainer_Abstract(): if item not in real: FP += 1 return TP, FP, FN - + + average_actions, average_target_actions, counter = 0, 0, 0 a_TP, a_FP, a_FN = 0, 0, 0 for i, data in enumerate(self.data_valid): + counter += 1 s, target_a, m = to_device(data) a_weights = self.policy(s) + a_weights += m a = a_weights.ge(0) TP, FP, FN = f1(a, target_a) a_TP += TP a_FP += FP a_FN += FN - + + average_actions += a.float().sum(dim=-1).mean() + average_target_actions += target_a.float().sum(dim=-1).mean() + + logging.info(f"Average actions: {average_actions / counter}") + logging.info(f"Average target actions: {average_target_actions / counter}") prec = a_TP / (a_TP + a_FP) rec = a_TP / (a_TP + a_FN) F1 = 2 * prec * rec / (prec + rec) - print(prec, rec, F1) + return prec, rec, F1 + + def test(self): + def f1(a, target): + TP, FP, FN = 0, 0, 0 + real = target.nonzero().tolist() + predict = a.nonzero().tolist() + for item in real: + if item in predict: + TP += 1 + else: + FN += 1 + for item in predict: + if item not in real: + FP += 1 + return TP, FP, FN + + a_TP, a_FP, a_FN = 0, 0, 0 + for i, data in enumerate(self.data_test): + s, target_a = to_device(data) + a_weights = self.policy(s) + a = a_weights.ge(0) + TP, FP, FN = f1(a, target_a) + a_TP += TP + a_FP += FP + a_FN += FN + + prec = a_TP / (a_TP + a_FP) + rec = a_TP / (a_TP + a_FN) + F1 = 2 * prec * rec / (prec + rec) + print(a_TP, a_FP, a_FN, F1) def save(self, directory, epoch): if not os.path.exists(directory): os.makedirs(directory) - torch.save(self.policy.state_dict(), directory + '/' + str(epoch) + '_mle.pol.mdl') + torch.save(self.policy.state_dict(), directory + '/supervised.pol.mdl') logging.info('<<dialog policy>> epoch {}: saved network to mdl'.format(epoch)) + +class MLE_Trainer(MLE_Trainer_Abstract): + def __init__(self, manager, vector, cfg): + self._init_data(manager, cfg) + + try: + self.use_entropy = manager.use_entropy + self.use_mutual_info = manager.use_mutual_info + self.use_confidence_scores = manager.use_confidence_scores + except: + self.use_entropy = False + self.use_mutual_info = False + self.use_confidence_scores = False + + # override the loss defined in the MLE_Trainer_Abstract to support pos_weight + pos_weight = cfg['pos_weight'] * torch.ones(vector.da_dim).to(device=DEVICE) + self.multi_entropy_loss = nn.BCEWithLogitsLoss(pos_weight=pos_weight) + self.policy = MultiDiscretePolicy(vector.state_dim, cfg['h_dim'], vector.da_dim).to(device=DEVICE) + self.policy.eval() + self.policy_optim = torch.optim.RMSprop(self.policy.parameters(), lr=cfg['lr_supervised'], + weight_decay=cfg['weight_decay']) + + +def arg_parser(): + parser = argparse.ArgumentParser() + + parser.add_argument("--seed", type=int, default=0) + parser.add_argument("--eval_freq", type=int, default=1) + parser.add_argument("--dataset_name", type=str, default="multiwoz21") + + args = parser.parse_args() + return args + + +if __name__ == '__main__': + + args = arg_parser() + + directory = os.path.dirname(os.path.abspath(__file__)) + with open(os.path.join(directory, 'config.json'), 'r') as f: + cfg = json.load(f) + + logger, tb_writer, current_time, save_path, config_save_path, dir_path, log_save_path = \ + init_logging(os.path.dirname(os.path.abspath(__file__)), "info") + save_config(vars(args), cfg, config_save_path) + + set_seed(args.seed) + logging.info(f"Seed used: {args.seed}") + + vector = VectorBinary(dataset_name=args.dataset_name, use_masking=False) + manager = PolicyDataVectorizer(dataset_name=args.dataset_name, vector=vector) + agent = MLE_Trainer(manager, vector, cfg) + + logging.info('Start training') + + best_recall = 0.0 + best_precision = 0.0 + best_f1 = 0.0 + precision = 0 + recall = 0 + f1 = 0 + + for e in range(cfg['epoch']): + agent.imitating() + logging.info(f"Epoch: {e}") + + if e % args.eval_freq == 0 and e != 0: + precision, recall, f1 = agent.validate() + + logging.info(f"Precision: {precision}") + logging.info(f"Recall: {recall}") + logging.info(f"F1: {f1}") + + if precision > best_precision: + best_precision = precision + if recall > best_recall: + best_recall = recall + if f1 > best_f1: + best_f1 = f1 + agent.save(save_path, e) + logging.info(f"Best Precision: {best_precision}") + logging.info(f"Best Recall: {best_recall}") + logging.info(f"Best F1: {best_f1}") diff --git a/convlab2/policy/pg/config.json b/convlab2/policy/pg/config.json index 8fd11be1c93fe2f0a22bc0b15e4f689f54d71fb6..480325a980a981ad91f749e3223bdf4bf4ca8ae4 100755 --- a/convlab2/policy/pg/config.json +++ b/convlab2/policy/pg/config.json @@ -1,11 +1,12 @@ { "batchsz": 32, "gamma": 0.99, - "lr": 0.001, + "lr": 0.00001, "save_dir": "save", "log_dir": "log", - "save_per_epoch": 1, + "save_per_epoch": 5, "update_round": 5, + "seed": 0, "h_dim": 100, "load": "save/best" } \ No newline at end of file diff --git a/convlab2/policy/pg/pg.py b/convlab2/policy/pg/pg.py index fd8f8884aceac5085e082fe3075b34bd7f58cc6b..8b4088c8400ae695d36a28bb826381442699647a 100755 --- a/convlab2/policy/pg/pg.py +++ b/convlab2/policy/pg/pg.py @@ -7,8 +7,9 @@ import os import json from convlab2.policy.policy import Policy from convlab2.policy.rlmodule import MultiDiscretePolicy +from convlab2.util.custom_util import set_seed from convlab2.util.train_util import init_logging_handler -from convlab2.policy.vector.vector_multiwoz import MultiWozVector +from convlab2.policy.vector.vector_binary import VectorBinary from convlab2.util.file_util import cached_path import zipfile import sys @@ -21,22 +22,28 @@ DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") class PG(Policy): - def __init__(self, is_train=False, dataset='Multiwoz'): + def __init__(self, is_train=False, dataset='Multiwoz', seed=0, vectorizer=None): with open(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'config.json'), 'r') as f: cfg = json.load(f) + self.cfg = cfg self.save_dir = os.path.join(os.path.dirname(os.path.abspath(__file__)), cfg['save_dir']) self.save_per_epoch = cfg['save_per_epoch'] self.update_round = cfg['update_round'] self.optim_batchsz = cfg['batchsz'] self.gamma = cfg['gamma'] self.is_train = is_train - if is_train: - init_logging_handler(cfg['log_dir'], logging_mode=logging.INFO) + self.vector = vectorizer + self.info_dict = {} + + set_seed(seed) + + if self.vector is None: + logging.info("No vectorizer was set, using default..") + from convlab2.policy.vector.vector_binary import VectorBinary + self.vector = VectorBinary() if dataset == 'Multiwoz': - voc_file = os.path.join(root_dir, 'data/multiwoz/sys_da_voc.txt') - voc_opp_file = os.path.join(root_dir, 'data/multiwoz/usr_da_voc.txt') - self.vector = MultiWozVector(voc_file, voc_opp_file) + self.vector = vectorizer self.policy = MultiDiscretePolicy(self.vector.state_dim, cfg['h_dim'], self.vector.da_dim).to(device=DEVICE) # self.policy = MultiDiscretePolicy(self.vector.state_dim, cfg['h_dim'], self.vector.da_dim).to(device=DEVICE) @@ -51,11 +58,26 @@ class PG(Policy): Returns: action : System act, with the form of (act_type, {slot_name_1: value_1, slot_name_2, value_2, ...}) """ - s_vec = torch.Tensor(self.vector.state_vectorize(state)) - a = self.policy.select_action(s_vec.to(device=DEVICE), self.is_train).cpu() + s, action_mask = self.vector.state_vectorize(state) + s_vec = torch.Tensor(s) + mask_vec = torch.Tensor(action_mask) + a = self.policy.select_action( + s_vec.to(device=DEVICE), False, action_mask=mask_vec.to(device=DEVICE)).cpu() + + a_counter = 0 + while a.sum() == 0: + a_counter += 1 + a = self.policy.select_action( + s_vec.to(device=DEVICE), True, action_mask=mask_vec.to(device=DEVICE)).cpu() + if a_counter == 5: + break + # print('True :') + # print(a) action = self.vector.action_devectorize(a.detach().numpy()) state['system_action'] = action - + self.info_dict["action_used"] = action + # for key in state.keys(): + # print("Key : {} , Value : {}".format(key,state[key])) return action def init_session(self): @@ -89,7 +111,7 @@ class PG(Policy): return v_target - def update(self, epoch, batchsz, s, a, r, mask): + def update(self, epoch, batchsz, s, a, r, mask, action_mask): v_target = self.est_return(r, mask) @@ -98,24 +120,25 @@ class PG(Policy): # 1. shuffle current batch perm = torch.randperm(batchsz) # shuffle the variable for mutliple optimize - v_target_shuf, s_shuf, a_shuf = v_target[perm], s[perm], a[perm] + v_target_shuf, s_shuf, a_shuf, action_mask_shuf = v_target[perm], s[perm], a[perm], action_mask[perm] # 2. get mini-batch for optimizing optim_chunk_num = int(np.ceil(batchsz / self.optim_batchsz)) # chunk the optim_batch for total batch - v_target_shuf, s_shuf, a_shuf = torch.chunk(v_target_shuf, optim_chunk_num), \ + v_target_shuf, s_shuf, a_shuf, action_mask_shuf = torch.chunk(v_target_shuf, optim_chunk_num), \ torch.chunk(s_shuf, optim_chunk_num), \ - torch.chunk(a_shuf, optim_chunk_num) + torch.chunk(a_shuf, optim_chunk_num), \ + torch.chunk(action_mask_shuf, optim_chunk_num) # 3. iterate all mini-batch to optimize policy_loss = 0. - for v_target_b, s_b, a_b in zip(v_target_shuf, s_shuf, a_shuf): + for v_target_b, s_b, a_b, action_mask_b in zip(v_target_shuf, s_shuf, a_shuf, action_mask_shuf): # print('optim:', batchsz, v_target_b.size(), A_sa_b.size(), s_b.size(), a_b.size(), log_pi_old_sa_b.size()) # update policy network by clipping self.policy_optim.zero_grad() # [b, 1] - log_pi_sa = self.policy.get_log_prob(s_b, a_b) + log_pi_sa = self.policy.get_log_prob(s_b, a_b, action_mask_b) # ratio = exp(log_Pi(a|s) - log_Pi_old(a|s)) = Pi(a|s) / Pi_old(a|s) # we use log_pi for stability of numerical operation # [b, 1] => [b] @@ -130,7 +153,7 @@ class PG(Policy): for p in self.policy.parameters(): p.grad[p.grad != p.grad] = 0.0 # gradient clipping, for stability - torch.nn.utils.clip_grad_norm(self.policy.parameters(), 10) + torch.nn.utils.clip_grad_norm_(self.policy.parameters(), 10) # self.lock.acquire() # retain lock to update weights self.policy_optim.step() # self.lock.release() # release lock @@ -138,9 +161,6 @@ class PG(Policy): policy_loss /= optim_chunk_num logging.debug('<<dialog policy pg>> epoch {}, iteration {}, policy, loss {}'.format(epoch, i, policy_loss)) - if (epoch + 1) % self.save_per_epoch == 0: - self.save(self.save_dir, epoch) - def save(self, directory, epoch): if not os.path.exists(directory): os.makedirs(directory) diff --git a/convlab2/policy/pg/semantic_level_config.json b/convlab2/policy/pg/semantic_level_config.json new file mode 100644 index 0000000000000000000000000000000000000000..d46ad81753614f00ab46e78038b225aa3b723332 --- /dev/null +++ b/convlab2/policy/pg/semantic_level_config.json @@ -0,0 +1,48 @@ +{ + "model": { + "load_path": "convlab2/policy/mle/experiments/experiment_2022-03-10-11-44-08/save/supervised", + "use_pretrained_initialisation": false, + "pretrained_load_path": "", + "batchsz": 1000, + "seed": 0, + "epoch": 200, + "eval_frequency": 5, + "process_num": 4, + "use_masking": false, + "use_state_entropy": false, + "manually_add_entity_names": false, + "use_state_mutual_info": false, + "use_confidence_scores": false, + "sys_semantic_to_usr": false, + "num_eval_dialogues": 500 + }, + "vectorizer_sys": { + "uncertainty_vector_mul": { + "class_path": "convlab2.policy.vector.vector_binary.VectorBinary", + "ini_params": { + "use_masking": false, + "manually_add_entity_names": false, + "seed": 0 + } + } + }, + "nlu_sys": {}, + "dst_sys": { + "RuleDST": { + "class_path": "convlab2.dst.rule.multiwoz.dst.RuleDST", + "ini_params": {} + } + }, + "sys_nlg": {}, + "nlu_usr": {}, + "dst_usr": {}, + "policy_usr": { + "RulePolicy": { + "class_path": "convlab2.policy.rule.multiwoz.RulePolicy", + "ini_params": { + "character": "usr" + } + } + }, + "usr_nlg": {} +} \ No newline at end of file diff --git a/convlab2/policy/pg/train.py b/convlab2/policy/pg/train.py index 3c2d824d6c3463564d6a1e3dbc4a0b2123b4eefd..3abcd74b99fbaf46529ff07378bb052e1d8c4e97 100755 --- a/convlab2/policy/pg/train.py +++ b/convlab2/policy/pg/train.py @@ -4,115 +4,37 @@ Created on Sun Jul 14 16:14:07 2019 @author: truthless """ -import sys, os, logging, random -sys.path.append(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__))))) -from convlab2.dialog_agent.session import BiSession +import sys +import os +import logging +import time import numpy as np import torch -from torch import multiprocessing as mp -from convlab2.dialog_agent.agent import PipelineAgent -from convlab2.dialog_agent.env import Environment -from convlab2.nlu.svm.multiwoz import SVMNLU -from convlab2.dst.rule.multiwoz import RuleDST -from convlab2.policy.rule.multiwoz import RulePolicy + from convlab2.policy.pg import PG -from convlab2.policy.rlmodule import Memory, Transition -from convlab2.nlg.template.multiwoz import TemplateNLG -from convlab2.evaluator.multiwoz_eval import MultiWozEvaluator +from convlab2.policy.rlmodule import Memory +from torch import multiprocessing as mp from argparse import ArgumentParser +from convlab2.policy.ppo.config import get_config +from convlab2.util.custom_util import set_seed, init_logging, save_config, move_finished_training, env_config, \ + eval_policy, log_start_args, save_best, load_config_file +from datetime import datetime + +sys.path.append(os.path.dirname(os.path.dirname( + os.path.dirname(os.path.abspath(__file__))))) DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") +device = DEVICE try: + mp.set_start_method('spawn', force=True) mp = mp.get_context('spawn') except RuntimeError: pass -def evaluate(dataset_name, load_path=None, calculate_reward=False, policy_sys=None): - seed = 20190827 - random.seed(seed) - np.random.seed(seed) - - if dataset_name == 'MultiWOZ': - dst_sys = RuleDST() - - from convlab2.policy.mel import MEL - if policy_sys is None: - if load_path: - policy_sys = MEL(False) - policy_sys.load(load_path) - else: - policy_sys = MEL.from_pretrained - - dst_usr = None - - policy_usr = RulePolicy(character='usr') - simulator = PipelineAgent(None, None, policy_usr, None, 'user') - - env = Environment(None, simulator, None, dst_sys) - - agent_sys = PipelineAgent(None, dst_sys, policy_sys, None, 'sys') - - evaluator = MultiWozEvaluator() - sess = BiSession(agent_sys, simulator, None, evaluator) - - task_success = {'All': []} - for seed in range(100): - random.seed(seed) - np.random.seed(seed) - sess.init_session() - sys_response = [] - #logging.info('-' * 50) - #logging.info(f'seed {seed}') - for i in range(40): - sys_response, user_response, session_over, reward = sess.next_turn(sys_response) - if session_over is True: - task_succ = sess.evaluator.task_success() - #logging.info(f'task success: {task_succ}') - #logging.info(f'book rate: {sess.evaluator.book_rate()}') - #logging.info(f'inform precision/recall/f1: {sess.evaluator.inform_F1()}') - #logging.info('-' * 50) - break - else: - task_succ = 0 - - for key in sess.evaluator.goal: - if key not in task_success: - task_success[key] = [] - else: - task_success[key].append(task_succ) - task_success['All'].append(task_succ) - - for key in task_success: - logging.info( - f'{key} {len(task_success[key])} {np.average(task_success[key]) if len(task_success[key]) > 0 else 0}') - - if calculate_reward: - reward_tot = [] - for seed in range(200): - s = env.reset() - reward = [] - value = [] - mask = [] - for t in range(40): - s_vec = torch.Tensor(policy_sys.vector.state_vectorize(s)) - a = policy_sys.predict(s) - - # interact with env - next_s, r, done = env.step(a) - logging.info(r) - reward.append(r) - if done: # one due to counting from 0, the one for the last turn - break - logging.info(f'{seed} reward: {np.mean(reward)}') - reward_tot.append(np.mean(reward)) - logging.info(f'total avg reward: {np.mean(reward_tot)}') - else: - raise Exception("currently supported dataset: MultiWOZ") - +def sampler(pid, queue, evt, env, policy, batchsz, train_seed=0): -def sampler(pid, queue, evt, env, policy, batchsz): """ This is a sampler function, and it will be called by multiprocess.Process to sample data from environment by multiple processes. @@ -124,8 +46,8 @@ def sampler(pid, queue, evt, env, policy, batchsz): :param batchsz: total sampled items :return: """ - buff = Memory() + buff = Memory(seed=train_seed) # we need to sample batchsz of (state, action, next_state, reward, mask) # each trajectory contains `trajectory_len` num of items, so we only need to sample # `batchsz//trajectory_len` num of trajectory totally @@ -139,24 +61,32 @@ def sampler(pid, queue, evt, env, policy, batchsz): while sampled_num < batchsz: # for each trajectory, we reset the env and get initial state s = env.reset() - for t in range(traj_len): # [s_dim] => [a_dim] - s_vec = torch.Tensor(policy.vector.state_vectorize(s)) - a = policy.predict(s) + s_vec, action_mask = policy.vector.state_vectorize(s) + s_vec = torch.Tensor(s_vec) + action_mask = torch.Tensor(action_mask) + a = policy.predict(s) + # print("---> sample action") + # print(f"s : {s['system_action']}") + # print(f"a : {a}") # interact with env next_s, r, done = env.step(a) + # print(f"next_s: {next_s['system_action']}") # a flag indicates ending or not mask = 0 if done else 1 # get reward compared to demostrations - next_s_vec = torch.Tensor(policy.vector.state_vectorize(next_s)) + next_s_vec, next_action_mask = policy.vector.state_vectorize( + next_s) + next_s_vec = torch.Tensor(next_s_vec) # save to queue - buff.push(s_vec.numpy(), policy.vector.action_vectorize(a), r, next_s_vec.numpy(), mask) + buff.push(s_vec.numpy(), policy.vector.action_vectorize( + a), r, next_s_vec.numpy(), mask, action_mask.numpy()) # update per step s = next_s @@ -176,14 +106,15 @@ def sampler(pid, queue, evt, env, policy, batchsz): evt.wait() -def sample(env, policy, batchsz, process_num): +def sample(env, policy, batchsz, process_num, seed): + """ Given batchsz number of task, the batchsz will be splited equally to each processes and when processes return, it merge all data and return - :param env: - :param policy: + :param env: + :param policy: :param batchsz: - :param process_num: + :param process_num: :return: batch """ @@ -203,7 +134,7 @@ def sample(env, policy, batchsz, process_num): evt = mp.Event() processes = [] for i in range(process_num): - process_args = (i, queue, evt, env, policy, process_batchsz) + process_args = (i, queue, evt, env, policy, process_batchsz, seed) processes.append(mp.Process(target=sampler, args=process_args)) for p in processes: # set the process as daemon, and it will be killed once the main process is stoped. @@ -223,10 +154,12 @@ def sample(env, policy, batchsz, process_num): return buff.get_batch() -def update(env, policy, batchsz, epoch, process_num): +def update(env, policy, batchsz, epoch, process_num, seed=0): + # sample data asynchronously - batch = sample(env, policy, batchsz, process_num) + batch = sample(env, policy, batchsz, process_num, seed) + # print(batch) # data in batch is : batch.state: ([1, s_dim], [1, s_dim]...) # batch.action: ([1, a_dim], [1, a_dim]...) # batch.reward/ batch.mask: ([1], [1]...) @@ -234,35 +167,112 @@ def update(env, policy, batchsz, epoch, process_num): a = torch.from_numpy(np.stack(batch.action)).to(device=DEVICE) r = torch.from_numpy(np.stack(batch.reward)).to(device=DEVICE) mask = torch.Tensor(np.stack(batch.mask)).to(device=DEVICE) + action_mask = torch.Tensor(np.stack(batch.action_mask)).to(device=DEVICE) batchsz_real = s.size(0) - policy.update(epoch, batchsz_real, s, a, r, mask) + policy.update(epoch, batchsz_real, s, a, r, mask, action_mask) if __name__ == '__main__': + + time_now = time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime()) + + begin_time = datetime.now() parser = ArgumentParser() - parser.add_argument("--load_path", type=str, default="", help="path of model to load") - parser.add_argument("--batchsz", type=int, default=1024, help="batch size of trajactory sampling") - parser.add_argument("--epoch", type=int, default=200, help="number of epochs to train") - parser.add_argument("--process_num", type=int, default=8, help="number of processes of trajactory sampling") - args = parser.parse_args() - - # simple rule DST - dst_sys = RuleDST() - - policy_sys = PG(True) - policy_sys.load(args.load_path) - - # not use dst - dst_usr = None - # rule policy - policy_usr = RulePolicy(character='usr') - # assemble - simulator = PipelineAgent(None, None, policy_usr, None, 'user') - - evaluator = MultiWozEvaluator() - env = Environment(None, simulator, None, dst_sys, evaluator) - - for i in range(args.epoch): - update(env, policy_sys, args.batchsz, i, args.process_num) - evaluate('MultiWOZ', policy_sys=policy_sys) + parser.add_argument("--path", type=str, default='convlab2/policy/pg/semantic_level_config.json', + help="Load path for config file") + parser.add_argument("--seed", type=int, default=0, + help="Seed for the policy parameter initialization") + parser.add_argument("--mode", type=str, default='info', + help="Set level for logger") + parser.add_argument("--save_eval_dials", type=bool, default=False, + help="Flag for saving dialogue_info during evaluation") + + path = parser.parse_args().path + seed = parser.parse_args().seed + mode = parser.parse_args().mode + save_eval = parser.parse_args().save_eval_dials + + logger, tb_writer, current_time, save_path, config_save_path, dir_path, log_save_path = \ + init_logging(os.path.dirname(os.path.abspath(__file__)), mode) + + args = [('model', 'seed', seed)] + + environment_config = load_config_file(path) + save_config(vars(parser.parse_args()), environment_config, config_save_path) + + conf = get_config(path, args) + seed = conf['model']['seed'] + logging.info('Train seed is ' + str(seed)) + set_seed(seed) + + policy_sys = PG(True, seed=conf['model']['seed'], vectorizer=conf['vectorizer_sys_activated']) + + # Load model + if conf['model']['use_pretrained_initialisation']: + logging.info("Loading supervised model checkpoint.") + policy_sys.load_from_pretrained(conf['model'].get('pretrained_load_path', "")) + elif conf['model']['load_path']: + try: + policy_sys.load(conf['model']['load_path']) + except Exception as e: + logging.info(f"Could not load a policy: {e}") + else: + logging.info("Policy initialised from scratch") + + log_start_args(conf) + logging.info(f"New episodes per epoch: {conf['model']['batchsz']}") + + env, sess = env_config(conf, policy_sys) + + # Setup uncertainty thresholding + if env.sys_dst: + try: + if env.sys_dst.use_confidence_scores: + policy_sys.vector.setup_uncertain_query(env.sys_dst.thresholds) + except: + logging.info('Uncertainty threshold not set.') + + policy_sys.current_time = current_time + policy_sys.log_dir = config_save_path.replace('configs', 'logs') + policy_sys.save_dir = save_path + + logging.info(f"Evaluating at start - {time_now}" + '-'*60) + time_now = time.time() + eval_dict = eval_policy(conf, policy_sys, env, sess, save_eval, log_save_path) + logging.info(f"Finished evaluating, time spent: {time.time() - time_now}") + + for key in eval_dict: + tb_writer.add_scalar(key, eval_dict[key], 0) + best_complete_rate = eval_dict['complete_rate'] + best_success_rate = eval_dict['success_rate_strict'] + + logging.info("Start of Training: " + + time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) + + for i in range(conf['model']['epoch']): + idx = i + 1 + # print("Epoch :{}".format(str(idx))) + update(env, policy_sys, conf['model']['batchsz'], idx, conf['model']['process_num'], seed=seed) + + if idx % conf['model']['eval_frequency'] == 0 and idx != 0: + time_now = time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime()) + logging.info(f"Evaluating at Epoch: {idx} - {time_now}" + '-'*60) + + eval_dict = eval_policy(conf, policy_sys, env, sess, save_eval, log_save_path) + + best_complete_rate, best_success_rate = \ + save_best(policy_sys, best_complete_rate, best_success_rate, + eval_dict["complete_rate"], eval_dict["success_rate_strict"], save_path) + for key in eval_dict: + tb_writer.add_scalar(key, eval_dict[key], idx * conf['model']['batchsz']) + + logging.info("End of Training: " + + time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) + + f = open(os.path.join(dir_path, "time.txt"), "a") + f.write(str(datetime.now() - begin_time)) + f.close() + + move_finished_training(dir_path, os.path.join( + os.path.dirname(os.path.abspath(__file__)), "finished_experiments")) diff --git a/convlab2/policy/ppo/envs_config.json b/convlab2/policy/ppo/envs_config.json deleted file mode 100644 index 674ee48d563f044ec3b0fe5807714aca90c38011..0000000000000000000000000000000000000000 --- a/convlab2/policy/ppo/envs_config.json +++ /dev/null @@ -1,67 +0,0 @@ -{ - "model": { - "load_path": "best_supervised", - "batchsz": 1000, - "seed": 0, - "epoch": 200, - "eval_frequency": 5, - "process_num": 8, - "use_masking": true, - "shrink": false, - "use_state_entropy": false, - "use_state_mutual_info": false, - "use_confidence_scores": false, - "sys_semantic_to_usr": false, - "num_eval_dialogues": 500 - }, - "nlu_sys": {}, - "dst_sys": { - "setsumbt-mul": { - "class_path": "convlab2.dst.setsumbt.multiwoz.Tracker.SetSUMBTTracker", - "ini_params": { - "model_path": "convlab_setsumbt_acts_distilled", - "get_confidence_scores": false, - "return_mutual_info": false, - "return_entropy": false - } - } - }, - "sys_nlg": { - "TemplateNLG": { - "class_path": "convlab2.nlg.template.multiwoz.TemplateNLG", - "ini_params": { - "is_user": false - } - } - }, - "nlu_usr": { - "BERTNLU": { - "class_path": "convlab2.nlu.jointBERT.multiwoz.BERTNLU", - "ini_params": { - "mode": "sys", - "config_file": "multiwoz_sys_context.json", - "model_file": "https://convlab.blob.core.windows.net/convlab-2/bert_multiwoz_sys_context.zip" - } - } - }, - "dst_usr": {}, - "policy_usr": { - "RulePolicy": { - "class_path": "convlab2.policy.rule.multiwoz.RulePolicy", - "ini_params": { - "character": "usr" - } - } - }, - "usr_nlg": { - "TemplateNLG": { - "class_path": "convlab2.nlg.template.multiwoz.TemplateNLG", - "ini_params": { - "is_user": true, - "label_noise": 0.0, - "text_noise": 0.0, - "seed": 0 - } - } - } -} \ No newline at end of file diff --git a/convlab2/policy/ppo/ppo.py b/convlab2/policy/ppo/ppo.py index 0ea98a19e0a70c650d8318e3d7b03178196c56f4..6635cf2e624e8559efd9ae0cf4616b5312cfb9de 100755 --- a/convlab2/policy/ppo/ppo.py +++ b/convlab2/policy/ppo/ppo.py @@ -8,7 +8,7 @@ import os import json from convlab2.policy.policy import Policy from convlab2.policy.rlmodule import MultiDiscretePolicy, Value -from convlab2.util.custom_util import model_downloader +from convlab2.util.custom_util import model_downloader, set_seed import sys root_dir = os.path.dirname(os.path.dirname( @@ -36,10 +36,14 @@ class PPO(Policy): self.is_train = is_train self.info_dict = {} self.vector = vectorizer - assert self.vector is not None logging.info('PPO seed ' + str(seed)) - self.set_seed(seed) + set_seed(seed) + + if self.vector is None: + logging.info("No vectorizer was set, using default..") + from convlab2.policy.vector.vector_binary import VectorBinary + self.vector = VectorBinary() # construct policy and value network if dataset == 'Multiwoz': @@ -56,14 +60,6 @@ class PPO(Policy): self.value_optim = optim.Adam( self.value.parameters(), lr=cfg['value_lr']) - def set_seed(self, seed): - np.random.seed(seed) - torch.random.manual_seed(seed) - random.seed(seed) - torch.manual_seed(seed) - if torch.cuda.is_available(): - torch.cuda.manual_seed_all(seed) - def predict(self, state): """ Predict an system action given state. @@ -145,7 +141,7 @@ class PPO(Policy): return A_sa, v_target - def update(self, epoch, batchsz, s, a, r, mask, action_mask, only_critic=False): + def update(self, epoch, batchsz, s, a, r, mask, action_mask): # get estimated V(s) and PI_old(s, a) # actually, PI_old(s, a) can be saved when interacting with env, so as to save the time of one forward elapsed # v: [b, 1] => [b] @@ -187,7 +183,6 @@ class PPO(Policy): # backprop loss.backward() - # nn.utils.clip_grad_norm(self.value.parameters(), 4) self.value_optim.step() # 2. update policy network by clipping @@ -219,10 +214,9 @@ class PPO(Policy): for p in self.policy.parameters(): p.grad[p.grad != p.grad] = 0.0 # gradient clipping, for stability - torch.nn.utils.clip_grad_norm(self.policy.parameters(), 10) + torch.nn.utils.clip_grad_norm_(self.policy.parameters(), 10) # self.lock.acquire() # retain lock to update weights - if not only_critic: - self.policy_optim.step() + self.policy_optim.step() # self.lock.release() # release lock @@ -299,7 +293,7 @@ class PPO(Policy): @staticmethod def load_vectoriser(name): if name == 'base': - from convlab2.policy.vector.vector_multiwoz import MultiWozVector + from convlab2.policy.vector.vector_binary import MultiWozVector return MultiWozVector() @classmethod diff --git a/convlab2/policy/ppo/semantic_level_config.json b/convlab2/policy/ppo/semantic_level_config.json index 24cfeb577eed03c4e808a8343c49539760b9ad9e..d46ad81753614f00ab46e78038b225aa3b723332 100644 --- a/convlab2/policy/ppo/semantic_level_config.json +++ b/convlab2/policy/ppo/semantic_level_config.json @@ -1,6 +1,6 @@ { "model": { - "load_path": "convlab2/policy/mle/multiwoz/experiment_2022-02-14-18-40-51/save/supervised", + "load_path": "convlab2/policy/mle/experiments/experiment_2022-03-10-11-44-08/save/supervised", "use_pretrained_initialisation": false, "pretrained_load_path": "", "batchsz": 1000, @@ -18,7 +18,7 @@ }, "vectorizer_sys": { "uncertainty_vector_mul": { - "class_path": "convlab2.policy.vector.vector_multiwoz.MultiWozVector", + "class_path": "convlab2.policy.vector.vector_binary.VectorBinary", "ini_params": { "use_masking": false, "manually_add_entity_names": false, diff --git a/convlab2/policy/ppo/train.py b/convlab2/policy/ppo/train.py index 711d0f1f99735ae3515c490626381486f46744ee..67a2b6c5282db18b624eb25852ad12ba2ca982b8 100755 --- a/convlab2/policy/ppo/train.py +++ b/convlab2/policy/ppo/train.py @@ -32,9 +32,8 @@ try: except RuntimeError: pass -# TODO change it back to normal version. -def sampler(pid, queue, evt, env, policy, batchsz, train_seed=0, user_rl=False): +def sampler(pid, queue, evt, env, policy, batchsz, train_seed=0): """ This is a sampler function, and it will be called by multiprocess.Process to sample data from environment by multiple @@ -67,8 +66,7 @@ def sampler(pid, queue, evt, env, policy, batchsz, train_seed=0, user_rl=False): # [s_dim] => [a_dim] s_vec, action_mask = policy.vector.state_vectorize(s) s_vec = torch.Tensor(s_vec) - if not user_rl: - action_mask = torch.Tensor(action_mask) + action_mask = torch.Tensor(action_mask) a = policy.predict(s) # print("---> sample action") @@ -108,7 +106,7 @@ def sampler(pid, queue, evt, env, policy, batchsz, train_seed=0, user_rl=False): evt.wait() -def sample(env, policy, batchsz, process_num, seed, user_rl=False): +def sample(env, policy, batchsz, process_num, seed): """ Given batchsz number of task, the batchsz will be splited equally to each processes @@ -136,7 +134,7 @@ def sample(env, policy, batchsz, process_num, seed, user_rl=False): evt = mp.Event() processes = [] for i in range(process_num): - process_args = (i, queue, evt, env, policy, process_batchsz, seed, user_rl) + process_args = (i, queue, evt, env, policy, process_batchsz, seed) processes.append(mp.Process(target=sampler, args=process_args)) for p in processes: # set the process as daemon, and it will be killed once the main process is stoped. @@ -155,10 +153,11 @@ def sample(env, policy, batchsz, process_num, seed, user_rl=False): return buff.get_batch() -def update(env, policy, batchsz, epoch, process_num, only_critic=False, seed=0, user_rl=False): + +def update(env, policy, batchsz, epoch, process_num, seed=0): # sample data asynchronously - batch = sample(env, policy, batchsz, process_num, seed, user_rl=False) + batch = sample(env, policy, batchsz, process_num, seed) # print(batch) # data in batch is : batch.state: ([1, s_dim], [1, s_dim]...) @@ -171,8 +170,7 @@ def update(env, policy, batchsz, epoch, process_num, only_critic=False, seed=0, action_mask = torch.Tensor(np.stack(batch.action_mask)).to(device=DEVICE) batchsz_real = s.size(0) - policy.update(epoch, batchsz_real, s, a, r, mask, - action_mask, only_critic=only_critic) + policy.update(epoch, batchsz_real, s, a, r, mask, action_mask) if __name__ == '__main__': @@ -241,19 +239,13 @@ if __name__ == '__main__': logging.info(f"Evaluating at start - {time_now}" + '-'*60) time_now = time.time() - complete_rate, success_rate, success_rate_strict, avg_return, turns, avg_actions = eval_policy( - conf, policy_sys, env, sess, save_eval, log_save_path) + eval_dict = eval_policy(conf, policy_sys, env, sess, save_eval, log_save_path) logging.info(f"Finished evaluating, time spent: {time.time() - time_now}") - tb_writer.add_scalar('complete_rate', complete_rate, 0) - tb_writer.add_scalar('success_rate', success_rate, 0) - tb_writer.add_scalar('success_rate_strict', success_rate_strict, 0) - tb_writer.add_scalar('avg_return', avg_return, 0) - tb_writer.add_scalar('turns', turns, 0) - tb_writer.add_scalar('avg_actions', avg_actions, 0) - - best_complete_rate = complete_rate - best_success_rate = success_rate_strict + for key in eval_dict: + tb_writer.add_scalar(key, eval_dict[key], 0) + best_complete_rate = eval_dict['complete_rate'] + best_success_rate = eval_dict['success_rate_strict'] logging.info("Start of Training: " + time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) @@ -261,32 +253,19 @@ if __name__ == '__main__': for i in range(conf['model']['epoch']): idx = i + 1 # print("Epoch :{}".format(str(idx))) - update(env, policy_sys, conf['model']['batchsz'], - idx, conf['model']['process_num'], only_critic=False, seed=seed) + update(env, policy_sys, conf['model']['batchsz'], idx, conf['model']['process_num'], seed=seed) if idx % conf['model']['eval_frequency'] == 0 and idx != 0: time_now = time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime()) logging.info(f"Evaluating at Epoch: {idx} - {time_now}" + '-'*60) - complete_rate, success_rate, success_rate_strict, avg_return, turns, avg_actions = eval_policy( - conf, policy_sys, env, sess, save_eval, log_save_path) + eval_dict = eval_policy(conf, policy_sys, env, sess, save_eval, log_save_path) best_complete_rate, best_success_rate = \ save_best(policy_sys, best_complete_rate, best_success_rate, - complete_rate, success_rate_strict, save_path) - - tb_writer.add_scalar('complete_rate', complete_rate, - idx * conf['model']['batchsz']) - tb_writer.add_scalar('success_rate', success_rate, - idx * conf['model']['batchsz']) - tb_writer.add_scalar('success_rate_strict', success_rate_strict, - idx * conf['model']['batchsz']) - tb_writer.add_scalar('avg_return', avg_return, - idx * conf['model']['batchsz']) - tb_writer.add_scalar('turns', turns, idx * - conf['model']['batchsz']) - tb_writer.add_scalar('avg_actions', avg_actions, - idx * conf['model']['batchsz']) + eval_dict["complete_rate"], eval_dict["success_rate_strict"], save_path) + for key in eval_dict: + tb_writer.add_scalar(key, eval_dict[key], idx * conf['model']['batchsz']) logging.info("End of Training: " + time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) diff --git a/convlab2/policy/ppo/train.sh b/convlab2/policy/ppo/train.sh deleted file mode 100644 index 937e80a9df8cddde51f77a1a9cef36b69aeecc86..0000000000000000000000000000000000000000 --- a/convlab2/policy/ppo/train.sh +++ /dev/null @@ -1,5 +0,0 @@ -python convlab2/policy/ppo/train.py --load_path=convlab2/policy/mle/save/best_mle -python convlab2/policy/ppo/train.py --seed=0 -python convlab2/policy/ppo/train.py --seed=1 -python convlab2/policy/ppo/train.py --seed=2 -sudo shutdown -h now \ No newline at end of file diff --git a/convlab2/policy/ppo/train_args.py b/convlab2/policy/ppo/train_args.py deleted file mode 100755 index 628da0ca2bc354e0c79c7bf3e4052f277fd67dc3..0000000000000000000000000000000000000000 --- a/convlab2/policy/ppo/train_args.py +++ /dev/null @@ -1,299 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Sun Jul 14 16:14:07 2019 -@author: truthless -""" - -import sys -import os -import logging -import time -import numpy as np -import torch - -from convlab2.policy.ppo import PPO -from convlab2.policy.rlmodule import Memory -from torch import multiprocessing as mp -from argparse import ArgumentParser -from convlab2.util.custom_util import set_seed, init_logging, save_config, move_finished_training, create_env, \ - eval_policy, log_start_args, save_best - -sys.path.append(os.path.dirname(os.path.dirname( - os.path.dirname(os.path.abspath(__file__))))) - -DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") -device = DEVICE - -try: - mp.set_start_method('spawn', force=True) - mp = mp.get_context('spawn') -except RuntimeError: - pass - - -def sampler(pid, queue, evt, env, policy, batchsz): - """ - This is a sampler function, and it will be called by multiprocess.Process to sample data from environment by multiple - processes. - :param pid: process id - :param queue: multiprocessing.Queue, to collect sampled data - :param evt: multiprocessing.Event, to keep the process alive - :param env: environment instance - :param policy: policy network, to generate action from current policy - :param batchsz: total sampled items - :return: - """ - buff = Memory() - - # we need to sample batchsz of (state, action, next_state, reward, mask) - # each trajectory contains `trajectory_len` num of items, so we only need to sample - # `batchsz//trajectory_len` num of trajectory totally - # the final sampled number may be larger than batchsz. - - sampled_num = 0 - sampled_traj_num = 0 - traj_len = 50 - real_traj_len = 0 - - while sampled_num < batchsz: - # for each trajectory, we reset the env and get initial state - s = env.reset() - - for t in range(traj_len): - - # [s_dim] => [a_dim] - s_vec, action_mask = policy.vector.state_vectorize(s) - s_vec = torch.Tensor(s_vec) - action_mask = torch.Tensor(action_mask) - - a = policy.predict(s) - - # interact with env - next_s, r, done = env.step(a) - - # a flag indicates ending or not - mask = 0 if done else 1 - - # get reward compared to demostrations - next_s_vec, next_action_mask = policy.vector.state_vectorize( - next_s) - next_s_vec = torch.Tensor(next_s_vec) - - # save to queue - buff.push(s_vec.numpy(), policy.vector.action_vectorize( - a), r, next_s_vec.numpy(), mask, action_mask.numpy()) - - # update per step - s = next_s - real_traj_len = t - - if done: - break - - # this is end of one trajectory - sampled_num += real_traj_len - sampled_traj_num += 1 - # t indicates the valid trajectory length - - # this is end of sampling all batchsz of items. - # when sampling is over, push all buff data into queue - queue.put([pid, buff]) - evt.wait() - - -def sample(env, policy, batchsz, process_num): - """ - Given batchsz number of task, the batchsz will be splited equally to each processes - and when processes return, it merge all data and return - :param env: - :param policy: - :param batchsz: - :param process_num: - :return: batch - """ - - # batchsz will be splitted into each process, - # final batchsz maybe larger than batchsz parameters - process_batchsz = np.ceil(batchsz / process_num).astype(np.int32) - # buffer to save all data - queue = mp.Queue() - - # start processes for pid in range(1, processnum) - # if processnum = 1, this part will be ignored. - # when save tensor in Queue, the process should keep alive till Queue.get(), - # please refer to : https://discuss.pytorch.org/t/using-torch-tensor-over-multiprocessing-queue-process-fails/2847 - # however still some problem on CUDA tensors on multiprocessing queue, - # please refer to : https://discuss.pytorch.org/t/cuda-tensors-on-multiprocessing-queue/28626 - # so just transform tensors into numpy, then put them into queue. - evt = mp.Event() - processes = [] - for i in range(process_num): - process_args = (i, queue, evt, env, policy, process_batchsz) - processes.append(mp.Process(target=sampler, args=process_args)) - for p in processes: - # set the process as daemon, and it will be killed once the main process is stoped. - p.daemon = True - p.start() - - # we need to get the first Memory object and then merge others Memory use its append function. - pid0, buff0 = queue.get() - for _ in range(1, process_num): - pid, buff_ = queue.get() - buff0.append(buff_) # merge current Memory into buff0 - evt.set() - - # now buff saves all the sampled data - buff = buff0 - - return buff.get_batch() - - -def update(env, policy, batchsz, epoch, process_num, only_critic=False): - - # sample data asynchronously - batch = sample(env, policy, batchsz, process_num) - - # data in batch is : batch.state: ([1, s_dim], [1, s_dim]...) - # batch.action: ([1, a_dim], [1, a_dim]...) - # batch.reward/ batch.mask: ([1], [1]...) - s = torch.from_numpy(np.stack(batch.state)).to(device=DEVICE) - a = torch.from_numpy(np.stack(batch.action)).to(device=DEVICE) - r = torch.from_numpy(np.stack(batch.reward)).to(device=DEVICE) - mask = torch.Tensor(np.stack(batch.mask)).to(device=DEVICE) - action_mask = torch.Tensor(np.stack(batch.action_mask)).to(device=DEVICE) - batchsz_real = s.size(0) - - policy.update(epoch, batchsz_real, s, a, r, mask, - action_mask, only_critic=only_critic) - - -if __name__ == '__main__': - - time_now = time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime()) - - begin_time = datetime.now() - parser = ArgumentParser() - parser.add_argument("--load_path", type=str, default="convlab2/policy/ppo/best_supervised", - help="path of model to load") - parser.add_argument("--batchsz", type=int, default=1000, - help="batch size of trajactory sampling") - parser.add_argument("--epoch", type=int, default=200, - help="number of epochs to train") - parser.add_argument("--eval_frequency", type=int, - default=5, help="evaluation frequency") - parser.add_argument("--process_num", type=int, default=6, - help="number of processes of trajactory sampling") - parser.add_argument("--seed", type=int, default=0, - help="Seed for the policy parameter initialization") - parser.add_argument("--use_masking", action='store_true', - help="Use action masking for PPO") - parser.add_argument("--num_eval_dialogues", type=int, - default=400, help="Number of dialogues for evaluation") - - # Tracker args - parser.add_argument("--use_setsumbt_tracker", action='store_true', - help="whether to use setsumbt tracker during RL") - parser.add_argument("--sys_semantic_to_usr", action='store_true', - help="whether to use send semnatic acts directly from system to simulator") - parser.add_argument("--use_bertnlu_rule_tracker", action='store_true', - help="whether to use bertnlu + rule tracker during RL") - parser.add_argument("--setsumbt_path", type=str, - default='/gpfs/project/niekerk/results/nbt/convlab_setsumbt_acts_distilled') - parser.add_argument("--nlu_model_path", type=str, - default='https://convlab.blob.core.windows.net/convlab-2/bert_multiwoz_sys_context.zip') - parser.add_argument("--use_confidence_scores", action='store_true', - help="whether to use belief probabilities in the state") - parser.add_argument("--use_state_entropy", action='store_true', - help="whether to use entropy of state distributions in the state") - parser.add_argument("--use_state_mutual_info", action='store_true', - help="whether to use mutual information of state distributions in the state") - parser.add_argument("--user_label_noise", type=float, - default=0.0, help="User simulator label noise level") - parser.add_argument("--user_text_noise", type=float, - default=0.0, help="User simulator text noise level") - - args = parser.parse_args() - - if args.use_setsumbt_tracker: - args.use_bertnlu_rule_tracker = False - if args.use_bertnlu_rule_tracker: - args.use_belief_probs = False - - set_seed(args.seed) - - policy_sys = PPO(True, seed=args.seed, use_action_mask=args.use_masking, shrink=False, - use_entropy=args.use_state_entropy, use_mutual_info=args.use_state_mutual_info, - use_confidence_scores=args.use_confidence_scores) - policy_sys.load(args.load_path) - - logger, tb_writer, current_time, save_path, config_save_path, dir_path = \ - init_logging(os.path.dirname(os.path.abspath(__file__))) - - log_start_args(args) - logging.info(f"New episodes per epoch: {args.batchsz}") - - env, sess = create_env(args, policy_sys) - - if args.use_confidence_scores: - policy_sys.vector.setup_uncertain_query(env.sys_dst.thresholds) - - policy_sys.current_time = current_time - policy_sys.log_dir = config_save_path.replace('configs', 'logs') - policy_sys.save_dir = save_path - - save_config(vars(args), policy_sys.cfg, config_save_path) - - time_now = time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime()) - logging.info(f"Evaluating at start - {time_now}" + '-'*60) - time_now = time.time() - complete_rate, success_rate, avg_return, turns, avg_actions = eval_policy( - args, policy_sys, env, sess) - logging.info(f"Finished evaluating, time spent: {time.time() - time_now}") - - tb_writer.add_scalar('complete_rate', complete_rate, 0) - tb_writer.add_scalar('success_rate', success_rate, 0) - tb_writer.add_scalar('avg_return', avg_return, 0) - tb_writer.add_scalar('turns', turns, 0) - tb_writer.add_scalar('avg_actions', avg_actions, 0) - - best_complete_rate = complete_rate - best_success_rate = success_rate - - logging.info("Start of Training: " + - time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) - - for i in range(conf['model']['epoch']): - idx = i + 1 - update(env, policy_sys, conf['model']['batchsz'], - idx, conf['model']['process_num']) - - if idx % conf['model']['eval_frequency'] == 0 and idx != 0: - time_now = time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime()) - logging.info(f"Evaluating at Epoch: {idx} - {time_now}" + '-'*60) - - complete_rate, success_rate, avg_return, turns, avg_actions = eval_policy( - conf, policy_sys, env, sess) - best_complete_rate, best_success_rate = \ - save_best(policy_sys, best_complete_rate, best_success_rate, - complete_rate, success_rate, save_path) - - tb_writer.add_scalar('complete_rate', complete_rate, - idx * conf['model']['batchsz']) - tb_writer.add_scalar('success_rate', success_rate, - idx * conf['model']['batchsz']) - tb_writer.add_scalar('avg_return', avg_return, - idx * conf['model']['batchsz']) - tb_writer.add_scalar('turns', turns, idx * - conf['model']['batchsz']) - tb_writer.add_scalar('avg_actions', avg_actions, - idx * conf['model']['batchsz']) - - logging.info("End of Training: " + - time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) - - f = open(os.path.join(dir_path, "time.txt"), "a") - f.write(str(datetime.now() - begin_time)) - f.close() - - move_finished_training(dir_path, os.path.join( - os.path.dirname(os.path.abspath(__file__)), "finished_experiments")) diff --git a/convlab2/policy/ppo/train_setsumbt_end_baseline.sh b/convlab2/policy/ppo/train_setsumbt_end_baseline.sh deleted file mode 100755 index a1c5d5b729c04d5037691cfd5abf4cb8a45e914c..0000000000000000000000000000000000000000 --- a/convlab2/policy/ppo/train_setsumbt_end_baseline.sh +++ /dev/null @@ -1,17 +0,0 @@ -#!/bin/bash - -# This step is needed when using a different configuration. -# It can be commented out after removing data from a previous configuration and training -# using various seeds. -rm -rdf ../../../data_loaders/processed_utterance_data - -# This step can be commented out once a supervised starting point has been obtained -# for a specific configuration -python train_supervised.py \ - --utterance_level \ - --setsumbt_path "https://cloud.cs.uni-duesseldorf.de/s/Yqkzz8NW3yoMWRk/download/setsumbt_end.zip" - -# This is the main RL step -python train.py \ - --path "setsumbt_end_baseline_config.json" \ - --seed 20211202 diff --git a/convlab2/policy/ppo/train_supervised.py b/convlab2/policy/ppo/train_supervised.py deleted file mode 100644 index 5a3976b948e2eeddd01ca765c45cbf19c01ca496..0000000000000000000000000000000000000000 --- a/convlab2/policy/ppo/train_supervised.py +++ /dev/null @@ -1,234 +0,0 @@ -import argparse -import os -import torch -import logging -import json -import sys -from torch import nn -from convlab2.util.train_util import to_device -from data_loaders.utterance_loader import UtteranceDataLoaderVRNN - -root_dir = os.path.dirname( - os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__))))) -sys.path.append(root_dir) - -from convlab2.policy.rlmodule import MultiDiscretePolicy -from convlab2.policy.vector.vector_multiwoz import MultiWozVector -from convlab2.policy.mle.multiwoz.loader import ActMLEPolicyDataLoaderMultiWoz -from convlab2.util.train_util import init_logging_handler - -DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") - - -class MLE_Trainer_Abstract(): - def __init__(self, manager, cfg): - self._init_data(manager, cfg) - self.policy = None - self.policy_optim = None - - def _init_data(self, manager, cfg): - self.data_train = manager.create_dataset('train', cfg['batchsz']) - self.data_valid = manager.create_dataset('val', cfg['batchsz']) - self.data_test = manager.create_dataset('test', cfg['batchsz']) - self.save_dir = cfg['save_dir'] - self.multi_entropy_loss = nn.MultiLabelSoftMarginLoss() - - def policy_loop(self, data): - s, mask, target_a = to_device(data) - a_weights = self.policy(s) - - loss_a = self.multi_entropy_loss(a_weights + mask, target_a) - return loss_a - - def imitating(self, epoch): - """ - pretrain the policy by simple imitation learning (behavioral cloning) - """ - self.policy.train() - a_loss = 0. - for i, data in enumerate(self.data_train): - self.policy_optim.zero_grad() - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - loss_a.backward() - self.policy_optim.step() - - self.policy.eval() - - def imit_test(self, epoch, best): - """ - provide an unbiased evaluation of the policy fit on the training dataset - """ - a_loss = 0. - for i, data in enumerate(self.data_valid): - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - - a_loss /= len(self.data_valid) - logging.debug('<<dialog policy>> validation, epoch {}, loss_a:{}'.format(epoch, a_loss)) - if a_loss < best: - logging.info('<<dialog policy>> best model saved') - best = a_loss - self.save(self.save_dir, 'best') - - a_loss = 0. - for i, data in enumerate(self.data_test): - loss_a = self.policy_loop(data) - a_loss += loss_a.item() - - a_loss /= len(self.data_test) - logging.debug('<<dialog policy>> test, epoch {}, loss_a:{}'.format(epoch, a_loss)) - return best - - def validate(self): - def f1(a, target): - TP, FP, FN = 0, 0, 0 - real = target.nonzero().tolist() - predict = a.nonzero().tolist() - for item in real: - if item in predict: - TP += 1 - else: - FN += 1 - for item in predict: - if item not in real: - FP += 1 - return TP, FP, FN - - a_TP, a_FP, a_FN = 0, 0, 0 - for i, data in enumerate(self.data_valid): - s, m, target_a = to_device(data) - a_weights = self.policy(s) - a_weights += m - a = a_weights.ge(0) - TP, FP, FN = f1(a, target_a) - a_TP += TP - a_FP += FP - a_FN += FN - - prec = a_TP / (a_TP + a_FP) - rec = a_TP / (a_TP + a_FN) - F1 = 2 * prec * rec / (prec + rec) - return prec, rec, F1 - - def test(self): - def f1(a, target): - TP, FP, FN = 0, 0, 0 - real = target.nonzero().tolist() - predict = a.nonzero().tolist() - for item in real: - if item in predict: - TP += 1 - else: - FN += 1 - for item in predict: - if item not in real: - FP += 1 - return TP, FP, FN - - a_TP, a_FP, a_FN = 0, 0, 0 - for i, data in enumerate(self.data_test): - s, target_a = to_device(data) - a_weights = self.policy(s) - a = a_weights.ge(0) - TP, FP, FN = f1(a, target_a) - a_TP += TP - a_FP += FP - a_FN += FN - - prec = a_TP / (a_TP + a_FP) - rec = a_TP / (a_TP + a_FN) - F1 = 2 * prec * rec / (prec + rec) - print(a_TP, a_FP, a_FN, F1) - - def save(self, directory, epoch): - if not os.path.exists(directory): - os.makedirs(directory) - - torch.save(self.policy.state_dict(), directory + '/supervised.pol.mdl') - - logging.info('<<dialog policy>> epoch {}: saved network to mdl'.format(epoch)) - - -class MLE_Trainer(MLE_Trainer_Abstract): - def __init__(self, manager, cfg): - self._init_data(manager, cfg) - - try: - self.use_entropy = manager.use_entropy - self.use_mutual_info = manager.use_mutual_info - self.use_confidence_scores = manager.use_confidence_scores - except: - self.use_entropy = False - self.use_mutual_info = False - self.use_confidence_scores = False - - vector = MultiWozVector() - # override the loss defined in the MLE_Trainer_Abstract to support pos_weight - pos_weight = cfg['pos_weight'] * torch.ones(vector.da_dim).to(device=DEVICE) - self.multi_entropy_loss = nn.BCEWithLogitsLoss(pos_weight=pos_weight) - print("ACTION DIM OF MLE: ", vector.da_dim) - self.policy = MultiDiscretePolicy(vector.state_dim, cfg['h_dim'], vector.da_dim).to(device=DEVICE) - self.policy.eval() - self.policy_optim = torch.optim.RMSprop(self.policy.parameters(), lr=cfg['lr_supervised'], - weight_decay=cfg['weight_decay']) - - -def arg_parser(): - parser = argparse.ArgumentParser() - parser.add_argument('--use_confidence_scores', action='store_true', help="set to 1 if want to train with uncertainty") - parser.add_argument('--use_entropy', action='store_true', help="set to 1 if want to train with entropy") - parser.add_argument('--use_mutual_info', action='store_true', help="set to 1 if want to train with entropy") - parser.add_argument('--utterance_level', action='store_true', help="set to 1 to train on utterance level") - parser.add_argument('--use_masking', action='store_true', help="set to 1 to train using masking") - parser.add_argument("--setsumbt_path", type=str) - - args = parser.parse_args() - return args - - -if __name__ == '__main__': - - args = arg_parser() - - if args.utterance_level: - print("We use Utterance level data for pretraining") - print(f"Uncertainty used: {args.use_confidence_scores}") - print(f"Entropy used: {args.use_entropy}") - print(f"Mutual Information used: {args.use_entropy}") - manager = UtteranceDataLoaderVRNN(use_confidence_scores=args.use_confidence_scores, use_entropy=args.use_entropy, - use_action_masking=args.use_masking, tracker_path=args.setsumbt_path, - use_mutual_info=args.use_mutual_info) - else: - print("We train on ground truth level") - manager = ActMLEPolicyDataLoaderMultiWoz() - - directory = os.path.dirname(os.path.abspath(__file__)) - with open(os.path.join(directory, 'config.json'), 'r') as f: - cfg = json.load(f) - - init_logging_handler(cfg['log_dir']) - agent = MLE_Trainer(manager, cfg) - - logging.debug('Start training') - - best_recall = 0.0 - best_precision = 0.0 - best_f1 = 0.0 - - for e in range(cfg['epoch']): - agent.imitating(e) - #best = agent.imit_test(e, best) - print("Epoch: ", e) - precision, recall, f1 = agent.validate() - - if precision > best_precision: - best_precision = precision - if recall > best_recall: - best_recall = recall - if f1 > best_f1: - best_f1 = f1 - agent.save(directory, e) - print("Best Precision: ", best_precision) - print("Best Recall: ", best_recall) - print("Best F1: ", best_f1) diff --git a/convlab2/policy/ppo/train_with_vrnn.py b/convlab2/policy/ppo/train_with_vrnn.py deleted file mode 100644 index f939e664d3af08ad99bab7068836743b3688c725..0000000000000000000000000000000000000000 --- a/convlab2/policy/ppo/train_with_vrnn.py +++ /dev/null @@ -1,447 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Sun Jul 14 16:14:07 2019 -@author: truthless -""" - -import sys, os, logging, random, time -sys.path.append(os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__))))) - -import numpy as np -import torch -from tensorboardX import SummaryWriter -from convlab2.dialog_agent.session import BiSession -from convlab2.vrnn_semantic.model import VRNN - - -from torch import multiprocessing as mp -from convlab2.dialog_agent.agent import PipelineAgent -from convlab2.dialog_agent.env import Environment -from convlab2.nlu.svm.multiwoz import SVMNLU -from convlab2.dst.rule.multiwoz import RuleDST -from convlab2.policy.rule.multiwoz import RulePolicy -from convlab2.policy.ppo import PPO -from convlab2.policy.rlmodule import Memory_vrnn -from convlab2.nlg.template.multiwoz import TemplateNLG -from convlab2.evaluator.multiwoz_eval import MultiWozEvaluator -from argparse import ArgumentParser -from convlab2.dialog_agent.session import BiSession -#from convlab2.util.train_util import save_to_bucket, init_logging_handler -from convlab2.policy.vector.vector_multiwoz import MultiWozVector - - -DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu") - -root_dir = os.path.dirname( - os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__))))) -voc_file_shrinked = os.path.join(root_dir, 'data/multiwoz/sys_da_voc_shrinked.txt') -voc_opp_file = os.path.join(root_dir, 'data/multiwoz/usr_da_voc.txt') -VECTOR = MultiWozVector(voc_file_shrinked, voc_opp_file, shrink=True) - -try: - mp = mp.get_context('spawn') -except RuntimeError: - pass - - -def save_log_to_bucket(policy_sys, bucket_dir='logs_PPO_masking_no_pretraining'): - try: - save_to_bucket('geishauser', f'convlab_experiments/{bucket_dir}/{policy_sys.save_name}/log.txt', - os.path.join(policy_sys.log_dir, f'log_{policy_sys.current_time}.txt')) - for file in os.listdir(policy_sys.log_dir): - if 'events.out' in file: - save_to_bucket('geishauser', f'convlab_experiments/{bucket_dir}/{policy_sys.save_name}/{file}', - os.path.join(policy_sys.log_dir, file)) - except: - logging.info('Could not save to bucket.') - - -def save_best_policy(policy, rate, best_rate, success=True, bucket_dir='logs_PPO_masking_no_pretraining'): - #try block is only for local testing, when we can not access the gcloud storage - try: - if rate > best_rate: - if success: - policy.save(policy.save_dir, best_success_rate=True) - save_to_bucket('geishauser', f'convlab_experiments/{bucket_dir}/' - f'{policy_sys.save_name}/best_success_rate_ppo.val.mdl', - os.path.join(policy.save_dir, policy.current_time + '_best_success_rate_ppo.val.mdl')) - save_to_bucket('geishauser', f'convlab_experiments/{bucket_dir}/' - f'{policy_sys.save_name}/best_success_rate_ppo.pol.mdl', - os.path.join(policy.save_dir, policy.current_time + '_best_success_rate_ppo.pol.mdl')) - else: - policy.save(policy.save_dir, best_complete_rate=True) - save_to_bucket('geishauser', f'convlab_experiments/{bucket_dir}/' - f'{policy_sys.save_name}/best_complete_rate_ppo.val.mdl', - os.path.join(policy.save_dir, policy.current_time + '_best_complete_rate_ppo.val.mdl')) - save_to_bucket('geishauser', f'convlab_experiments/{bucket_dir}/' - f'{policy_sys.save_name}/best_complete_rate_ppo.pol.mdl', - os.path.join(policy.save_dir, policy.current_time + '_best_complete_rate_ppo.pol.mdl')) - return rate - else: - return best_rate - except: - return best_rate - - -def evaluate(dataset_name, load_path=None, calculate_reward=False, policy_sys=None, counter=0, writer=None, evaluator_reward=False): - seed = 20190827 - random.seed(seed) - np.random.seed(seed) - - if dataset_name == 'MultiWOZ': - dst_sys = RuleDST() - - from convlab2.policy.ppo import PPO - if policy_sys is None: - if load_path: - policy_sys = PPO(False) - policy_sys.load(load_path) - else: - policy_sys = PPO.from_pretrained - - dst_usr = None - - policy_usr = RulePolicy(character='usr') - simulator = PipelineAgent(None, None, policy_usr, None, 'user') - - env = Environment(None, simulator, None, dst_sys) - - agent_sys = PipelineAgent(None, dst_sys, policy_sys, None, 'sys') - - evaluator = MultiWozEvaluator() - - sess = BiSession(agent_sys, simulator, None, evaluator) - - seeds = random.randrange(400, 1000000) - - actions = 0.0 - turn_counter = 0.0 - - task_success = {'All_user_sim': [], 'All_evaluator': [], 'total_return': [], 'turns': []} - for seed in range(seeds - 400, seeds): - random.seed(seed) - np.random.seed(seed) - sess.init_session() - sys_response = [] - - total_return = 0.0 - turns = 0 - for i in range(40): - sys_response, user_response, session_over, reward = sess.next_turn(sys_response) - actions += len(sys_response) - turn_counter += 1 - turns = i - if evaluator_reward: - total_return += reward - else: - total_return += simulator.policy.policy.get_reward() - - if session_over is True: - task_succ = sess.evaluator.task_success() - - break - else: - task_succ = 0 - - for key in sess.evaluator.goal: - if key not in task_success: - task_success[key] = [] - else: - task_success[key].append(task_succ) - - task_success['All_user_sim'].append(int(simulator.policy.policy.goal.task_complete())) - task_success['All_evaluator'].append(task_succ) - task_success['total_return'].append(total_return) - task_success['turns'].append(turns) - - with open(os.path.join(policy_sys.log_dir, f'log_{policy_sys.current_time}.txt'), 'a') as log_file: - - for key in task_success: - logging.info( - f'{key} {len(task_success[key])} {np.average(task_success[key]) if len(task_success[key]) > 0 else 0}') - - log_file.write(f'{key} {len(task_success[key])} {np.average(task_success[key]) if len(task_success[key]) > 0 else 0}\n') - - logging.info(f"Average number of actions per turn: {actions/turn_counter}") - #log_file.write(f"Average number of actions per turn: {actions/turn_counter}\n") - - if writer is not None: - writer.write_summary(np.average(task_success['All_user_sim']), np.average(task_success['All_evaluator']), - np.average(task_success['turns']), np.average(task_success['total_return']), counter) - - return np.average(task_success['All_user_sim']), np.average(task_success['All_evaluator']) - else: - raise Exception("currently supported dataset: MultiWOZ") - - -def sampler(pid, queue, evt, env, policy, batchsz, vrnn_model=None, mc_samples=1.0): - """ - This is a sampler function, and it will be called by multiprocess.Process to sample data from environment by multiple - processes. - :param pid: process id - :param queue: multiprocessing.Queue, to collect sampled data - :param evt: multiprocessing.Event, to keep the process alive - :param env: environment instance - :param policy: policy network, to generate action from current policy - :param batchsz: total sampled items - :return: - """ - buff = Memory_vrnn() - - # we need to sample batchsz of (state, action, next_state, reward, mask) - # each trajectory contains `trajectory_len` num of items, so we only need to sample - # `batchsz//trajectory_len` num of trajectory totally - # the final sampled number may be larger than batchsz. - - sampled_num = 0 - sampled_traj_num = 0 - traj_len = 50 - real_traj_len = 0 - - while sampled_num < batchsz: - # for each trajectory, we reset the env and get initial state - s = env.reset() - - user_act_list, sys_act_list, s_vec_list, next_s_vec_list, action_list, reward_list, trajectory_list, \ - mask_list, action_mask_list = [], [], [], [], [], [], [], [], [] - - for t in range(traj_len): - - # [s_dim] => [a_dim] - s_vec, action_mask = policy.vector.state_vectorize(s, output_mask=True) - s_vec = torch.Tensor(s_vec) - action_mask = torch.Tensor(action_mask) - - a = policy.predict(s) - - user_act_list.append(policy.vector.retrieve_user_action(s)) - sys_act_list.append(VECTOR.action_vectorize(a)) - - # interact with env - next_s, r, done = env.step(a) - - # a flag indicates ending or not - mask = 0 if done else 1 - - # get reward compared to demostrations - next_s_vec, next_action_mask = policy.vector.state_vectorize(next_s, output_mask=True) - next_s_vec = torch.Tensor(next_s_vec) - - s_vec_list.append(s_vec.numpy()) - action_list.append(policy.vector.action_vectorize(a)) - reward_list.append(r) - next_s_vec_list.append(next_s_vec.numpy()) - mask_list.append(mask) - action_mask_list.append(action_mask.numpy()) - - # save to queue - #buff.push(s_vec.numpy(), policy.vector.action_vectorize(a), r, next_s_vec.numpy(), mask, action_mask.numpy()) - - # update per step - s = next_s - real_traj_len = t - - if done: - break - - if vrnn_model: - crossentropy_loss = compute_vrnn_reward(mc_samples, sys_act_list, user_act_list, vrnn_model) - - for i in range(len(user_act_list)): - buff.push(s_vec_list[i], action_list[i], reward_list[i], next_s_vec_list[i], mask_list[i], - action_mask_list[i], crossentropy_loss[i]) - - # this is end of one trajectory - sampled_num += real_traj_len - sampled_traj_num += 1 - # t indicates the valid trajectory length - - # this is end of sampling all batchsz of items. - # when sampling is over, push all buff data into queue - queue.put([pid, buff]) - evt.wait() - - -def compute_vrnn_reward(mc_samples, sys_act_list, user_act_list, vrnn_model): - _, _, kld_loss, nll_loss = \ - vrnn_model(torch.Tensor([user_act_list]).repeat(mc_samples, 1, 1).to(DEVICE), - torch.Tensor([sys_act_list]).repeat(mc_samples, 1, 1).to(DEVICE), None, - torch.Tensor([len(user_act_list)]).repeat(mc_samples).to(DEVICE)) - - crossentropy_loss = -torch.stack(kld_loss) - torch.stack(nll_loss) - - # normalize reward, should maybe do it across episodes - #crossentropy_loss = (crossentropy_loss - crossentropy_loss.mean()) / (crossentropy_loss.std() + 0.00001) - crossentropy_loss = crossentropy_loss.detach() - return crossentropy_loss - - -def sample(env, policy, batchsz, process_num, vrnn_model=None, mc_samples=1): - """ - Given batchsz number of task, the batchsz will be splited equally to each processes - and when processes return, it merge all data and return - :param env: - :param policy: - :param batchsz: - :param process_num: - :return: batch - """ - - # batchsz will be splitted into each process, - # final batchsz maybe larger than batchsz parameters - process_batchsz = np.ceil(batchsz / process_num).astype(np.int32) - # buffer to save all data - queue = mp.Queue() - - # start processes for pid in range(1, processnum) - # if processnum = 1, this part will be ignored. - # when save tensor in Queue, the process should keep alive till Queue.get(), - # please refer to : https://discuss.pytorch.org/t/using-torch-tensor-over-multiprocessing-queue-process-fails/2847 - # however still some problem on CUDA tensors on multiprocessing queue, - # please refer to : https://discuss.pytorch.org/t/cuda-tensors-on-multiprocessing-queue/28626 - # so just transform tensors into numpy, then put them into queue. - evt = mp.Event() - processes = [] - for i in range(process_num): - process_args = (i, queue, evt, env, policy, process_batchsz, vrnn_model, mc_samples) - processes.append(mp.Process(target=sampler, args=process_args)) - for p in processes: - # set the process as daemon, and it will be killed once the main process is stoped. - p.daemon = True - p.start() - - # we need to get the first Memory object and then merge others Memory use its append function. - pid0, buff0 = queue.get() - for _ in range(1, process_num): - pid, buff_ = queue.get() - buff0.append(buff_) # merge current Memory into buff0 - evt.set() - - # now buff saves all the sampled data - buff = buff0 - - return buff.get_batch() - - -def update(env, policy, batchsz, epoch, process_num, only_critic=False, vrnn_model=None, mc_samples=1, ce_weighting=1.0): - - # sample data asynchronously - if vrnn_model is not None: - batch = sample(env, policy, batchsz, process_num, vrnn_model, mc_samples) - else: - batch = sample(env, policy, batchsz, process_num) - - # data in batch is : batch.state: ([1, s_dim], [1, s_dim]...) - # batch.action: ([1, a_dim], [1, a_dim]...) - # batch.reward/ batch.mask: ([1], [1]...) - s = torch.from_numpy(np.stack(batch.state)).to(device=DEVICE) - a = torch.from_numpy(np.stack(batch.action)).to(device=DEVICE) - r = torch.from_numpy(np.stack(batch.reward)).to(device=DEVICE) - mask = torch.Tensor(np.stack(batch.mask)).to(device=DEVICE) - action_mask = torch.Tensor(np.stack(batch.action_mask)).to(device=DEVICE) - vrnn_reward = torch.Tensor(np.stack(batch.vrnn_reward)).to(device=DEVICE) - batchsz_real = s.size(0) - - r_new = r + ce_weighting * (vrnn_reward - vrnn_reward.mean()) / (vrnn_reward.std() + 0.00001) - - policy.update(epoch, batchsz_real, s, a, r_new, mask, action_mask, only_critic=only_critic) - - -if __name__ == '__main__': - parser = ArgumentParser() - parser.add_argument("--load_path", type=str, default="", help="path of model to load") - parser.add_argument("--batchsz", type=int, default=1000, help="batch size of trajactory sampling") - parser.add_argument("--epoch", type=int, default=200, help="number of epochs to train") - parser.add_argument("--process_num", type=int, default=8, help="number of processes of trajactory sampling") - parser.add_argument("--seed", type=int, default=0, help="Seed for the policy parameter initialization") - parser.add_argument("--action_mask", type=bool, default=False, help="Use action masking for PPO") - parser.add_argument("--vrnn_path", type=str, default="") - parser.add_argument("--mc_num", type=int, default=1, help="How many MonteCarlo samples for VRNN") - parser.add_argument("--ce_weight", type=float, default=0.025, help="Weight of cross-entropy reward") - - args = parser.parse_args() - - random.seed(0) - np.random.seed(0) - - if args.action_mask: - args.action_mask = True - else: - args.action_mask = False - - print("ACTION MASK: ", args.action_mask) - - bucket_dir = 'logs_PPO_masking_no_pretraining' - if args.load_path and args.action_mask: - bucket_dir = 'logs_PPO_masking_pretraining' - elif args.load_path and not args.action_mask: - bucket_dir = 'logs_PPO_pretraining' - elif not args.load_path and not args.action_mask: - bucket_dir = 'logs_PPO_no_pretraining' - - bucket_dir += "_discrete" - - # simple rule DST - dst_sys = RuleDST() - - policy_sys = PPO(True, seed=args.seed, use_action_mask=args.action_mask, shrink=False) - policy_sys.load(args.load_path) - - if args.vrnn_path: - tb_writer = SummaryWriter(os.path.join(os.path.dirname(os.path.abspath(__file__)), - f'TB_summary/{policy_sys.current_time}_vrnn_normalized')) - else: - tb_writer = SummaryWriter(os.path.join(os.path.dirname(os.path.abspath(__file__)), - f'TB_summary/{policy_sys.current_time}')) - - if args.vrnn_path: - logging.info("We use VRNN reward signal") - with torch.no_grad(): - vrnn = VRNN(300, 300, 300, 1, 30).to(DEVICE) - vrnn.load_state_dict(torch.load(args.vrnn_path, map_location=DEVICE)) - vrnn.eval() - - # not use dst - dst_usr = None - # rule policy - policy_usr = RulePolicy(character='usr') - - simulator = PipelineAgent(None, None, policy_usr, None, 'user') - - evaluator = MultiWozEvaluator() - env = Environment(None, simulator, None, dst_sys, evaluator=evaluator) - - logging.info("Start of Training: " + time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) - - best_complete_rate = 0.0 - best_success_rate = 0.0 - - #if args.load_path: - # for i in range(20): - # print("Updating only critic") - # update(env, policy_sys, args.batchsz, i, args.process_num, only_critic=True) - - for i in range(args.epoch): - - if args.vrnn_path: - update(env, policy_sys, args.batchsz, i, args.process_num, vrnn_model=vrnn, mc_samples=args.mc_num, - ce_weighting=args.ce_weight) - else: - update(env, policy_sys, args.batchsz, i, args.process_num) - - logging.info(f"Evaluating at Epoch: {i} " + '-' * 80) - with open(os.path.join(policy_sys.log_dir, f'log_{policy_sys.current_time}.txt'), 'a') as log_file: - #log_file.write(f"Evaluating at Epoch: {i} " + '-' * 80 + "\n") - pass - - policy_sys.is_train = False - complete_rate, success_rate = evaluate('MultiWOZ', policy_sys=policy_sys, counter=i * 1000, writer=None) - tb_writer.add_scalar('complete_rate', complete_rate, i * args.batchsz) - tb_writer.add_scalar('success_rate', success_rate, i * args.batchsz) - policy_sys.is_train = True - save_log_to_bucket(policy_sys, bucket_dir=bucket_dir) - - best_complete_rate = save_best_policy(policy_sys, complete_rate, best_complete_rate, success=False, bucket_dir=bucket_dir) - best_success_rate = save_best_policy(policy_sys, success_rate, best_success_rate, success=True, bucket_dir=bucket_dir) - - logging.info("End of Training: " + time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime())) diff --git a/convlab2/policy/rule/multiwoz/policy_agenda_multiwoz.py b/convlab2/policy/rule/multiwoz/policy_agenda_multiwoz.py index b2778a31925aaee64374b17975899d54a1490a62..30e800d9a42b53a9d6b869130fe0343b814a0031 100755 --- a/convlab2/policy/rule/multiwoz/policy_agenda_multiwoz.py +++ b/convlab2/policy/rule/multiwoz/policy_agenda_multiwoz.py @@ -12,12 +12,29 @@ import os import random import re import logging -import numpy as np -import torch from convlab2.policy.policy import Policy from convlab2.task.multiwoz.goal_generator import GoalGenerator from convlab2.util.multiwoz.multiwoz_slot_trans import REF_USR_DA, REF_SYS_DA +from data.unified_datasets.multiwoz21.preprocess import normalize_domain_slot_value, reverse_da + + +def unified_format(acts): + new_acts = {'categorical': []} + for act in acts: + intent, domain, slot, value = act + new_acts['categorical'].append({"intent": intent, "domain": domain, "slot": slot, "value": value}) + return new_acts + + +def act_dict_to_flat_tuple(acts): + tuples = [] + for domain_intent, svs in acts.items(): + for slot, value in svs: + domain, intent = domain_intent.split('-') + tuples.append([intent, domain, slot, value]) + return tuples + DEF_VAL_UNK = '?' # Unknown DEF_VAL_DNC = 'dontcare' # Do not care @@ -57,10 +74,6 @@ class UserPolicyAgendaMultiWoz(Policy): """ self.max_turn = 40 self.max_initiative = 4 - self.forbidden_domains = {} - self.mandatory_domains = [] - self.only_single_domains = False - self.goal_generator = GoalGenerator() self.__turn = 0 @@ -75,25 +88,12 @@ class UserPolicyAgendaMultiWoz(Policy): """ Build new Goal and Agenda for next session """ self.reset_turn() if not ini_goal: - self.find_valid_goal() + self.goal = Goal(self.goal_generator) else: self.goal = ini_goal self.domain_goals = self.goal.domain_goals self.agenda = Agenda(self.goal) - def find_valid_goal(self): - - valid = False - while not valid: - self.goal = Goal(self.goal_generator) - if self.only_single_domains and len(self.goal.domain_goals) > 1: - continue - if set(self.forbidden_domains) & set(self.goal.domain_goals): - continue - if not set(self.mandatory_domains).issubset(set(self.goal.domain_goals)): - continue - valid = True - def predict(self, sys_dialog_act): """ Predict an user act based on state and preorder system action. @@ -106,6 +106,10 @@ class UserPolicyAgendaMultiWoz(Policy): """ self.__turn += 2 + sys_dialog_act = unified_format(sys_dialog_act) + sys_dialog_act = reverse_da(sys_dialog_act) + sys_dialog_act = act_dict_to_flat_tuple(sys_dialog_act) + assert isinstance(sys_dialog_act, list) sys_action = {} @@ -139,8 +143,12 @@ class UserPolicyAgendaMultiWoz(Policy): tuples = [] for domain_intent, svs in action.items(): + domain, intent = domain_intent.lower().split('-') for slot, value in svs: - domain, intent = domain_intent.split('-') + try: + domain, slot, value = normalize_domain_slot_value(domain, slot, value) + except: + pass tuples.append([intent, domain, slot, value]) return tuples @@ -645,7 +653,6 @@ class Agenda(object): def _handle_inform(self, domain, intent, slot_vals, goal: Goal): g_reqt, g_info, g_fail_info, g_book, g_fail_book = self._get_goal_infos( domain, goal) - info_right = True for [slot, value] in slot_vals: if slot == 'time': diff --git a/convlab2/policy/vector/vector_base.py b/convlab2/policy/vector/vector_base.py index d040e6e5db3be49e9d4b54500d73b403f23d0082..ad0f6345819afa4d65523c3b88e3c341f3a8b2ed 100644 --- a/convlab2/policy/vector/vector_base.py +++ b/convlab2/policy/vector/vector_base.py @@ -1,75 +1,179 @@ # -*- coding: utf-8 -*- import os import sys -import json import numpy as np -import copy import logging + +from data.unified_datasets.multiwoz21.database import Database +from copy import deepcopy from convlab2.policy.vec import Vector +from convlab2.util.custom_util import flatten_acts from convlab2.util.multiwoz.lexicalize import delexicalize_da, flat_da, deflat_da, lexicalize_da -from convlab2.util.multiwoz.state import default_state -from convlab2.util.multiwoz.dbquery import Database -from convlab2.util.multiwoz.multiwoz_slot_trans import REF_SYS_DA, REF_USR_DA +from convlab2.util import load_ontology, load_database, load_dataset -DEFAULT_INTENT_FILEPATH = os.path.join( - os.path.dirname(os.path.dirname(os.path.dirname( - os.path.dirname(os.path.abspath(__file__))))), - 'data/multiwoz/trackable_intent.json' -) root_dir = os.path.dirname(os.path.dirname( os.path.dirname(os.path.dirname(os.path.abspath(__file__))))) sys.path.append(root_dir) -SLOT_MAP = {'taxi_types': 'car type'} - - -class MultiWozVectorBase(Vector): +class VectorBase(Vector): - def __init__(self, voc_file=None, voc_opp_file=None, - intent_file=DEFAULT_INTENT_FILEPATH, character='sys', - use_masking=False, - manually_add_entity_names=True, - seed=0): + def __init__(self, dataset_name='multiwoz21', character='sys', use_masking=False, manually_add_entity_names=False, + always_inform_booking_reference=True, seed=0): super().__init__() self.set_seed(seed) - self.belief_domains = ['Attraction', 'Restaurant', - 'Train', 'Hotel', 'Taxi', 'Hospital', 'Police'] - self.db_domains = ['Attraction', 'Restaurant', 'Train', 'Hotel'] + self.ontology = load_ontology(dataset_name) + try: + #self.db = load_database(dataset_name) + self.db = Database() + self.db_domains = self.db.domains + except Exception as e: + self.db = None + self.db_domains = None + print(f"VectorBase: {e}") + + self.dataset_name = dataset_name self.max_actionval = {} - - with open(intent_file) as f: - intents = json.load(f) - self.informable = intents['informable'] - self.requestable = intents['requestable'] - self.db = Database() - self.use_mask = use_masking self.use_add_name = manually_add_entity_names + self.always_inform_booking_reference = always_inform_booking_reference self.reqinfo_filler_action = None self.character = character + self.requestable = ['request'] + self.informable = ['inform', 'recommend'] + + self.load_attributes() + self.get_state_dim() + print(f"State dimension: {self.state_dim}") + + def load_attributes(self): + + self.domains = list(self.ontology['domains'].keys()) + self.domains.sort() + + self.previous_name_actions = {domain: [] for domain in self.domains} + + self.state = self.ontology['state'] + self.belief_domains = list(self.state.keys()) + self.belief_domains.sort() - self.name_history_flag = True - self.name_action_prev = [] + self.load_action_dicts() - if not voc_file or not voc_opp_file: - voc_file = os.path.join( - root_dir, 'data/multiwoz/sys_da_voc_remapped.txt') - voc_opp_file = os.path.join( - root_dir, 'data/multiwoz/usr_da_voc.txt') + def load_action_dicts(self): - with open(voc_file) as f: - self.da_voc = f.read().splitlines() - with open(voc_opp_file) as f: - self.da_voc_opp = f.read().splitlines() + dir_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), + f'action_dicts/{self.dataset_name}_{type(self).__name__}') + if not (os.path.exists(os.path.join(dir_path, "sys_da_voc.txt")) + and os.path.exists(os.path.join(dir_path, "user_da_voc.txt"))): + print("Load actions from data..") + self.load_actions_from_data() + else: + print("Load actions from file..") + with open(os.path.join(dir_path, "sys_da_voc.txt")) as f: + self.da_voc = f.read().splitlines() + with open(os.path.join(dir_path, "user_da_voc.txt")) as f: + self.da_voc_opp = f.read().splitlines() self.generate_dict() - self.cur_domain = None - self.get_state_dim() - self.state = default_state() + + def load_actions_from_data(self, frequency_threshold=50): + """ + Loads the action sets for user and system using a data set. + The frequency_threshold prohibits adding actions that occur fewer times than this threshold in the data + (for instance there might be incorrectly labelled actions) + """ + + data_split = load_dataset(self.dataset_name) + system_dict = {} + user_dict = {} + for key in data_split: + data = data_split[key] + for dialogue in data: + for turn in dialogue['turns']: + dialogue_acts = turn['dialogue_acts'] + act_list = flatten_acts(dialogue_acts) + delex_acts = delexicalize_da(act_list, self.requestable) + + if turn['speaker'] == 'system': + for act in delex_acts: + act = "-".join(act) + if act not in system_dict: + system_dict[act] = 1 + else: + system_dict[act] += 1 + else: + for act in delex_acts: + act = "-".join(act) + if act not in user_dict: + user_dict[act] = 1 + else: + user_dict[act] += 1 + + for key in deepcopy(system_dict): + if system_dict[key] < frequency_threshold: + del system_dict[key] + + for key in deepcopy(user_dict): + if user_dict[key] < frequency_threshold: + del user_dict[key] + + self.da_voc = list(system_dict.keys()) + self.da_voc.sort() + self.da_voc_opp = list(user_dict.keys()) + self.da_voc_opp.sort() + + self.save_acts_to_txt() + + def save_acts_to_txt(self): + dir_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), + f'action_dicts/{self.dataset_name}_{type(self).__name__}') + os.makedirs(dir_path, exist_ok=True) + with open(os.path.join(dir_path, "sys_da_voc.txt"), "w") as f: + for act in self.da_voc: + f.write(act + "\n") + with open(os.path.join(dir_path, "user_da_voc.txt"), "w") as f: + for act in self.da_voc_opp: + f.write(act + "\n") + + def load_actions_from_ontology(self): + """ + Loads the action sets for user and system if an ontology is provided. + It is recommended to use load_actions_from_data to guarantee consistency with previous results + """ + + self.da_voc = [] + self.da_voc_opp = [] + for act_type in self.ontology['dialogue_acts']: + for act in self.ontology['dialogue_acts'][act_type]: + act = eval(act) + system = act['system'] + user = act['user'] + if system: + system_acts_with_value = self.add_values_to_act(act['domain'], act['intent'], act['slot'], True) + self.da_voc.extend(system_acts_with_value) + + if user: + user_acts_with_value = self.add_values_to_act(act['domain'], act['intent'], act['slot'], False) + self.da_voc_opp.extend(user_acts_with_value) + + self.da_voc.sort() + self.da_voc_opp.sort() + + def generate_dict(self): + """ + init the dict for mapping state/action into vector + """ + self.act2vec = dict((a, i) for i, a in enumerate(self.da_voc)) + self.vec2act = dict((v, k) for k, v in self.act2vec.items()) + self.da_dim = len(self.da_voc) + self.opp2vec = dict((a, i) for i, a in enumerate(self.da_voc_opp)) + self.da_opp_dim = len(self.da_voc_opp) + + print(f"Dimension of system actions: {self.da_dim}") + print(f"Dimension of user actions: {self.da_opp_dim}") def get_state_dim(self): ''' @@ -80,7 +184,6 @@ class MultiWozVectorBase(Vector): def state_vectorize(self, state): """vectorize a state - Args: state (tuple): Dialog state @@ -90,32 +193,42 @@ class MultiWozVectorBase(Vector): """ raise NotImplementedError - def set_seed(self, seed): - np.random.seed(seed) + def add_values_to_act(self, domain, intent, slot, system): + ''' + The ontology does not contain information about the value of an act. This method will add the value and + is based on how it is created in MultiWOZ. This might need to be changed for other datasets such as SGD. + ''' - def generate_dict(self): - """ - init the dict for mapping state/action into vector - """ - self.act2vec = dict((a, i) for i, a in enumerate(self.da_voc)) - self.vec2act = dict((v, k) for k, v in self.act2vec.items()) - self.da_dim = len(self.da_voc) - self.opp2vec = dict((a, i) for i, a in enumerate(self.da_voc_opp)) - self.da_opp_dim = len(self.da_voc_opp) + if intent == 'request': + return [f"{domain}-{intent}-{slot}-?"] - def retrieve_user_action(self, state): + if slot == '': + return [f"{domain}-{intent}-none-none"] - action = state['user_action'] - opp_action = delexicalize_da(action, self.requestable) - opp_action = flat_da(opp_action) - opp_act_vec = np.zeros(self.da_opp_dim) - for da in opp_action: - if da in self.opp2vec: - opp_act_vec[self.opp2vec[da]] = 1. - return opp_act_vec + if system: + if intent in ['recommend', 'select', 'inform']: + return [f"{domain}-{intent}-{slot}-{i}" for i in range(1, 4)] + else: + return [f"{domain}-{intent}-{slot}-1"] + else: + return [f"{domain}-{intent}-{slot}-1"] + + def init_domain_active_dict(self): + domain_active_dict = {} + for domain in self.domains: + if domain == 'general': + continue + domain_active_dict[domain] = False + return domain_active_dict - def compute_domain_mask(self, domain_active_dict): + def set_seed(self, seed): + np.random.seed(seed) + def compute_domain_mask(self, domain_active_dict): + ''' + Can not speak about a domain if that domain is not active. + A domain is active if the user mentioned it in the current turn or if a slot is filled with a value + ''' mask_list = np.zeros(self.da_dim) for i in range(self.da_dim): @@ -135,49 +248,36 @@ class MultiWozVectorBase(Vector): action = self.vec2act[i] domain, intent, slot, value = action.split('-') - # NoBook-SLOT does not make sense because policy can not know which constraint made booking impossible + # NoBook/NoOffer-SLOT does not make sense because policy can not know which constraint made offer impossible # If one wants to do it, lexicaliser needs to do it - if intent.lower() in ['nobook', 'nooffer'] and slot.lower() != 'none': + if intent in ['nobook', 'nooffer'] and slot != 'none': mask_list[i] = 1.0 - # see policy/rule/multiwoz/policy_agenda_multiwoz.py: illegal booking slot. Is self.cur_domain correct? - if self.cur_domain is not None: - if slot.lower() == 'time' and self.cur_domain.lower() not in ['train', 'restaurant']: - if domain.lower() == 'booking': - mask_list[i] = 1.0 - - if slot.lower() in self.state[self.cur_domain.lower()]['book']: - if not self.state[self.cur_domain.lower()]['book'][slot.lower()] and intent.lower() == 'inform': - mask_list[i] = 1.0 + if "book" in slot and intent == 'inform' and not self.state[domain][slot]: + mask_list[i] = 1.0 - if domain.lower() == 'taxi': - slot = REF_SYS_DA.get(domain, {}).get(slot, slot.lower()) - if slot in self.state['taxi']['semi']: - if not self.state['taxi']['semi'][slot] and intent.lower() == 'inform': + if domain == 'taxi': + if slot in self.state['taxi']: + if not self.state['taxi'][slot] and intent == 'inform': mask_list[i] = 1.0 return mask_list def compute_entity_mask(self, number_entities_dict): + ''' + 1. If there is no i-th entity in the data base, can not inform/recommend/select on that entity + 2. If there is an entity available, can not say NoOffer or NoBook + ''' mask_list = np.zeros(self.da_dim) for i in range(self.da_dim): action = self.vec2act[i] domain, intent, slot, value = action.split('-') domain_entities = number_entities_dict.get(domain, 1) - if intent.lower() in ['inform', 'select', 'recommend'] and value != None and value != 'none': - if(int(value) > domain_entities): - mask_list[i] = 1.0 - - if intent.lower() in ['inform', 'select', 'recommend'] and domain.lower() in ['booking']: - if number_entities_dict.get(self.cur_domain, 0) == 0: + if intent in ['inform', 'select', 'recommend'] and value != None and value != 'none': + if int(value) > domain_entities: mask_list[i] = 1.0 - - # mask Booking-NoBook if an entity is available in the current domain - if intent.lower() in ['nobook'] and number_entities_dict.get(self.cur_domain, 0) > 0: - mask_list[i] = 1.0 - - if intent.lower() in ['nooffer'] and number_entities_dict.get(domain, 0) > 0: + if intent in ['nooffer', 'nobook'] and number_entities_dict.get(domain, 0) > 0: mask_list[i] = 1.0 return mask_list @@ -192,16 +292,13 @@ class MultiWozVectorBase(Vector): entities list: list of entities of the specified domain """ - constraint = self.state[domain.lower()]['semi'] - constraint = {k: i for k, i in constraint.items() if i and i not in [ - 'dontcare', "do n't care", "do not care"]} - - return self.db.query(domain.lower(), constraint.items()) - - # Function used to find which user constraint results in no entities being found + constraints = [[slot, value] for slot, value in self.state[domain].items() if value] \ + if domain in self.state else [] + return self.db.query(domain, constraints, topk=10) def find_nooffer_slot(self, domain): """ + Function used to find which user constraint results in no entities being found query entities of specified domain Args: domain string: @@ -210,32 +307,28 @@ class MultiWozVectorBase(Vector): entities list: list of entities of the specified domain """ - constraint = self.state[domain.lower()]['semi'] - constraint = {k: i for k, i in constraint.items() if i and i not in [ - 'dontcare', "do n't care", "do not care"]} + constraints = self.state[domain] # Leave slots out of constraints to find which slot constraint results in no entities being found - for slot in constraint: - constraint_ = {k: i for k, i in constraint.items() - if k != slot}.items() - entities = self.db.query(domain.lower(), constraint_) + for constraint_slot in constraints: + state = [[slot, value] for slot, value in constraints.items() if slot != constraint_slot] + entities = self.db.query(domain, state, topk=1) if entities: - return slot + return constraint_slot # If no single slot results in no entities being found try the above with pairs of slots - slots = [slot for slot in constraint] + slots = [slot for slot in constraints] pairs = [] for i, slot in enumerate(slots): for j, slot1 in enumerate(slots): if j > i: pairs.append((slot, slot1)) - for slot, slot1 in pairs: - constraint_ = {k: i for k, i in constraint.items( - ) if k != slot and k != slot1}.items() - entities = self.db.query(domain.lower(), constraint_) + for constraint_slots in pairs: + state = [[slot, value] for slot, value in constraints.items() if slot not in constraint_slots] + entities = self.db.query(domain, state, topk=1) if entities: - return np.random.choice([slot, slot1]) + return np.random.choice(constraint_slots) # If no single slots or pairs removed results in success then set slot 'none' return 'none' @@ -277,36 +370,33 @@ class MultiWozVectorBase(Vector): entities = {} for domint in action: domain, intent = domint.split('-') - if domain not in entities and domain.lower() not in ['general', 'booking']: + if domain not in entities and domain not in ['general']: entities[domain] = self.dbquery_domain(domain) - if self.cur_domain and self.cur_domain not in entities: - entities[self.cur_domain] = self.dbquery_domain(self.cur_domain) - nooffer = [domint for domint in action if 'NoOffer' in domint] + # From db query find which slot causes no_offer + nooffer = [domint for domint in action if 'nooffer' in domint] for domint in nooffer: domain, intent = domint.split('-') slot = self.find_nooffer_slot(domain) - slot = REF_USR_DA.get(domain, {slot: 'none'}).get(slot, 'none') - action[domint] = [[slot, '1'] - ] if slot != 'none' else [[slot, 'none']] + action[domint] = [[slot, '1']] if slot != 'none' else [[slot, 'none']] - nobook = [domint for domint in action if 'NoBook' in domint] + # Randomly select booking constraint "causing" no_book + nobook = [domint for domint in action if 'nobook' in domint] for domint in nobook: - domain = self.cur_domain if self.cur_domain else 'none' - if domain.lower() in self.state: - slots = self.state[domain.lower()]['book'] - slots = [slot for slot, i in slots.items() - if i and slot != 'booked'] + domain, intent = domint.split('-') + if domain in self.state: + slots = self.state[domain] + slots = [slot for slot, i in slots.items() if i and 'book' in slot] slots.append('none') slot = np.random.choice(slots) - slot = REF_USR_DA.get(domain, {}).get(slot, 'none') else: slot = 'none' - action[domint] = [[slot, '1'] - ] if slot != 'none' else [[slot, 'none']] + action[domint] = [[slot, '1']] if slot != 'none' else [[slot, 'none']] - # When there is a INFORM(1 name) or OFFER(multiple) action then inform the name + if self.always_inform_booking_reference: + action = self.add_booking_reference(action) + # When there is a INFORM(1 name) or OFFER(multiple) action then inform the name if self.use_add_name: action = self.add_name(action) @@ -314,60 +404,118 @@ class MultiWozVectorBase(Vector): index = -1 for [item, idx] in action[key]: if index != -1 and index != idx and idx != '?': - logging.debug( - "System is likely refering multiple entities within this turn") - logging.debug(action[key]) + pass + #logging.debug( + # "System is likely refering multiple entities within this turn") + #logging.debug(action[key]) index = idx - - action = lexicalize_da(action, entities, self.state, - self.requestable, self.cur_domain) + action = lexicalize_da(action, entities, self.state, self.requestable) return action - def add_name(self, action): - - name_inform = [] - contains_name = False - # General Inform Condition for Naming - cur_inform = str(self.cur_domain) + '-Inform' - cur_request = str(self.cur_domain) + '-Request' - index = -1 - if cur_inform in action: - for [item, idx] in action[cur_inform]: - if item == 'Name': - contains_name = True - elif self.cur_domain == 'Train' and item == 'Id': - contains_name = True - elif self.cur_domain == 'Hospital': - contains_name = True - elif item == 'Choice' and cur_request in action: - contains_name = True - - if index != -1 and index != idx and idx is not None: - logging.debug( - "System is likely refering multiple entities within this turn") - - index = idx - - if contains_name == False: - if self.cur_domain == 'Train': - name_act = ['Id', index] - else: - name_act = ['Name', index] - - tmp = [name_act] + action[cur_inform] - name_inform = name_act + def add_booking_reference(self, action): + new_acts = {} + for domint in action: + domain, intent = domint.split('-', 1) + + if intent == 'book' and action[domint]: + ref_domint = f'{domain}-inform' + if ref_domint not in new_acts: + new_acts[ref_domint] = [] + new_acts[ref_domint].append(['ref', '1']) + if domint not in new_acts: + new_acts[domint] = [] + new_acts[domint].append(['none', '1']) + elif domint in new_acts: + new_acts[domint] += action[domint] + else: + new_acts[domint] = action[domint] - if self.name_history_flag: - action[cur_inform] = tmp + return new_acts - if self.name_action_prev != []: - if name_inform == self.name_action_prev: - self.name_history_flag = False - else: - self.name_history_flag = True + def add_name(self, action): - if name_inform != []: - self.name_action_prev = copy.deepcopy(name_inform) + name_inform = {domain: [] for domain in self.domains} + # General Inform Condition for Naming + domains = [domint.split('-', 1)[0] for domint in action] + domains = list(set([d for d in domains if d not in ['general']])) + for domain in domains: + contains_name = False + if domain == 'none': + raise NameError('Domain not defined') + cur_inform = domain + '-inform' + cur_request = domain + '-request' + index = -1 + if cur_inform in action: + # Check if current inform within a domain is accompanied by a name inform + for [slot, value_id] in action[cur_inform]: + if slot == 'name': + contains_name = True + elif domain == 'train' and slot == 'id': + contains_name = True + elif domain == 'hospital': + contains_name = True + elif slot == 'choice' and cur_request in action: + contains_name = True + + if not contains_name: + # Construct name inform act if name is not contained in acts + if domain == 'train': + name_inform[domain] = ['id', value_id] + else: + name_inform[domain] = ['name', value_id] + + # If name inform act has not been taken before then add to action set + if name_inform[domain] != self.previous_name_actions[domain]: + action[cur_inform] += [name_inform[domain]] + self.previous_name_actions[domain] = name_inform[domain] return action + + def pointer(self): + pointer_vector = np.zeros(6 * len(self.db_domains)) + number_entities_dict = {} + for domain in self.db_domains: + entities = self.dbquery_domain(domain) + number_entities_dict[domain] = len(entities) + pointer_vector = self.one_hot_vector( + len(entities), domain, pointer_vector) + + return pointer_vector, number_entities_dict + + def one_hot_vector(self, num, domain, vector): + """Return number of available entities for particular domain.""" + if domain != 'train': + idx = self.db_domains.index(domain) + if num == 0: + vector[idx * 6: idx * 6 + 6] = np.array([1, 0, 0, 0, 0, 0]) + elif num == 1: + vector[idx * 6: idx * 6 + 6] = np.array([0, 1, 0, 0, 0, 0]) + elif num == 2: + vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 1, 0, 0, 0]) + elif num == 3: + vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 1, 0, 0]) + elif num == 4: + vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 0, 1, 0]) + elif num >= 5: + vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 0, 0, 1]) + else: + idx = self.db_domains.index(domain) + if num == 0: + vector[idx * 6: idx * 6 + 6] = np.array([1, 0, 0, 0, 0, 0]) + elif num <= 2: + vector[idx * 6: idx * 6 + 6] = np.array([0, 1, 0, 0, 0, 0]) + elif num <= 5: + vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 1, 0, 0, 0]) + elif num <= 10: + vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 1, 0, 0]) + elif num <= 40: + vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 0, 1, 0]) + elif num > 40: + vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 0, 0, 1]) + + return vector + + +if __name__ == '__main__': + vector = VectorBase() diff --git a/convlab2/policy/vector/vector_binary.py b/convlab2/policy/vector/vector_binary.py new file mode 100755 index 0000000000000000000000000000000000000000..ba4f789e6484384bbb5f689654b992e41a717b34 --- /dev/null +++ b/convlab2/policy/vector/vector_binary.py @@ -0,0 +1,113 @@ +# -*- coding: utf-8 -*- +import sys +import numpy as np +from convlab2.util.multiwoz.lexicalize import delexicalize_da, flat_da +from .vector_base import VectorBase + + +class VectorBinary(VectorBase): + + def __init__(self, dataset_name='multiwoz21', character='sys', use_masking=False, manually_add_entity_names=True, + seed=0): + + super().__init__(dataset_name, character, use_masking, manually_add_entity_names, seed) + + def get_state_dim(self): + self.belief_state_dim = 0 + + for domain in self.ontology['state']: + for slot in self.ontology['state'][domain]: + self.belief_state_dim += 1 + + self.state_dim = self.da_opp_dim + self.da_dim + self.belief_state_dim + \ + len(self.db_domains) + 6 * len(self.db_domains) + 1 + + def state_vectorize(self, state): + """vectorize a state + + Args: + state (dict): + Dialog state + action (tuple): + Dialog act + Returns: + state_vec (np.array): + Dialog state vector + """ + self.state = state['belief_state'] + domain_active_dict = self.init_domain_active_dict() + + # when character is sys, to help query database when da is booking-book + # update current domain according to user action + if self.character == 'sys': + action = state['user_action'] + for intent, domain, slot, value in action: + domain_active_dict[domain] = True + + opp_act_vec = self.vectorize_user_act(state) + last_act_vec = self.vectorize_system_act(state) + belief_state, domain_active_dict = self.vectorize_belief_state(state, domain_active_dict) + book = self.vectorize_booked(state) + degree, number_entities_dict = self.pointer() + final = 1. if state['terminated'] else 0. + + state_vec = np.r_[opp_act_vec, last_act_vec, + belief_state, book, degree, final] + assert len(state_vec) == self.state_dim + + if self.use_mask: + mask = self.get_mask(domain_active_dict, number_entities_dict) + for i in range(self.da_dim): + mask[i] = -int(bool(mask[i])) * sys.maxsize + else: + mask = np.zeros(self.da_dim) + + return state_vec, mask + + def get_mask(self, domain_active_dict, number_entities_dict): + domain_mask = self.compute_domain_mask(domain_active_dict) + entity_mask = self.compute_entity_mask(number_entities_dict) + general_mask = self.compute_general_mask() + mask = domain_mask + entity_mask + general_mask + return mask + + def vectorize_booked(self, state): + book = np.zeros(len(self.db_domains)) + for i, domain in enumerate(self.db_domains): + if domain in state['booked'] and state['booked'][domain]: + book[i] = 1. + return book + + def vectorize_belief_state(self, state, domain_active_dict): + belief_state = np.zeros(self.belief_state_dim) + i = 0 + for domain in self.belief_domains: + for slot, value in state['belief_state'][domain].items(): + if value: + belief_state[i] = 1. + i += 1 + + if [slot for slot, value in state['belief_state'][domain].items() if value]: + domain_active_dict[domain] = True + return belief_state, domain_active_dict + + def vectorize_system_act(self, state): + action = state['system_action'] if self.character == 'sys' else state['user_action'] + action = delexicalize_da(action, self.requestable) + action = flat_da(action) + last_act_vec = np.zeros(self.da_dim) + for da in action: + if da in self.act2vec: + last_act_vec[self.act2vec[da]] = 1. + return last_act_vec + + def vectorize_user_act(self, state): + action = state['user_action'] if self.character == 'sys' else state['system_action'] + opp_action = delexicalize_da(action, self.requestable) + opp_action = flat_da(opp_action) + opp_act_vec = np.zeros(self.da_opp_dim) + for da in opp_action: + if da in self.opp2vec: + prob = 1.0 + opp_act_vec[self.opp2vec[da]] = prob + return opp_act_vec diff --git a/convlab2/policy/vector/vector_multiwoz.py b/convlab2/policy/vector/vector_multiwoz.py deleted file mode 100755 index 83c804545503a37db79f9abc5f7b28304862daca..0000000000000000000000000000000000000000 --- a/convlab2/policy/vector/vector_multiwoz.py +++ /dev/null @@ -1,179 +0,0 @@ -# -*- coding: utf-8 -*- -import sys -import os -import numpy as np -from convlab2.util.multiwoz.lexicalize import delexicalize_da, flat_da -from convlab2.util.multiwoz.state import default_state -from .vector_base import MultiWozVectorBase - -DEFAULT_INTENT_FILEPATH = os.path.join( - os.path.dirname(os.path.dirname(os.path.dirname( - os.path.dirname(os.path.abspath(__file__))))), - 'data/multiwoz/trackable_intent.json' -) - - -SLOT_MAP = {'taxi_types': 'car type'} - - -class MultiWozVector(MultiWozVectorBase): - - def __init__(self, voc_file=None, voc_opp_file=None, character='sys', - intent_file=DEFAULT_INTENT_FILEPATH, - use_masking=False, - manually_add_entity_names=True, - seed=0): - - super().__init__(voc_file, voc_opp_file, intent_file, character, use_masking, manually_add_entity_names, seed) - - def get_state_dim(self): - self.belief_state_dim = 0 - for domain in self.belief_domains: - for slot, value in default_state()['belief_state'][domain.lower()]['semi'].items(): - self.belief_state_dim += 1 - - self.belief_state_dim += len(default_state()['belief_state'][domain.lower()]['book']) - 1 - - self.state_dim = self.da_opp_dim + self.da_dim + self.belief_state_dim + \ - len(self.db_domains) + 6 * len(self.db_domains) + 1 - - def pointer(self): - pointer_vector = np.zeros(6 * len(self.db_domains)) - number_entities_dict = {} - for domain in self.db_domains: - entities = self.dbquery_domain(domain.lower()) - number_entities_dict[domain] = len(entities) - pointer_vector = self.one_hot_vector( - len(entities), domain, pointer_vector) - - return pointer_vector, number_entities_dict - - def one_hot_vector(self, num, domain, vector): - """Return number of available entities for particular domain.""" - if domain != 'train': - idx = self.db_domains.index(domain) - if num == 0: - vector[idx * 6: idx * 6 + 6] = np.array([1, 0, 0, 0, 0, 0]) - elif num == 1: - vector[idx * 6: idx * 6 + 6] = np.array([0, 1, 0, 0, 0, 0]) - elif num == 2: - vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 1, 0, 0, 0]) - elif num == 3: - vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 1, 0, 0]) - elif num == 4: - vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 0, 1, 0]) - elif num >= 5: - vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 0, 0, 1]) - else: - idx = self.db_domains.index(domain) - if num == 0: - vector[idx * 6: idx * 6 + 6] = np.array([1, 0, 0, 0, 0, 0]) - elif num <= 2: - vector[idx * 6: idx * 6 + 6] = np.array([0, 1, 0, 0, 0, 0]) - elif num <= 5: - vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 1, 0, 0, 0]) - elif num <= 10: - vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 1, 0, 0]) - elif num <= 40: - vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 0, 1, 0]) - elif num > 40: - vector[idx * 6: idx * 6 + 6] = np.array([0, 0, 0, 0, 0, 1]) - - return vector - - def state_vectorize(self, state): - """vectorize a state - - Args: - state (dict): - Dialog state - action (tuple): - Dialog act - Returns: - state_vec (np.array): - Dialog state vector - """ - self.state = state['belief_state'] - self.confidence_scores = state['belief_state_probs'] if 'belief_state_probs' in state else None - domain_active_dict = {} - for domain in self.belief_domains: - domain_active_dict[domain] = False - - # when character is sys, to help query database when da is booking-book - # update current domain according to user action - if self.character == 'sys': - action = state['user_action'] - for intent, domain, slot, value in action: - domain_active_dict[domain] = True - if domain in self.db_domains: - self.cur_domain = domain - - action = state['user_action'] if self.character == 'sys' else state['system_action'] - opp_action = delexicalize_da(action, self.requestable) - opp_action = flat_da(opp_action) - - opp_act_vec = np.zeros(self.da_opp_dim) - for da in opp_action: - if da in self.opp2vec: - prob = 1.0 - opp_act_vec[self.opp2vec[da]] = prob - - action = state['system_action'] if self.character == 'sys' else state['user_action'] - action = delexicalize_da(action, self.requestable) - action = flat_da(action) - last_act_vec = np.zeros(self.da_dim) - for da in action: - if da in self.act2vec: - last_act_vec[self.act2vec[da]] = 1. - - belief_state = np.zeros(self.belief_state_dim) - i = 0 - for domain in self.belief_domains: - - for slot, value in state['belief_state'][domain.lower()]['semi'].items(): - if value and value != 'not mentioned': - belief_state[i] = 1. - i += 1 - for slot, value in state['belief_state'][domain.lower()]['book'].items(): - if slot == 'booked': - continue - if value and value != "not mentioned": - belief_state[i] = 1. - - if 'active_domains' in state: - domain_active = state['active_domains'][domain.lower()] - domain_active_dict[domain] = domain_active - if domain in self.db_domains and domain_active: - self.cur_domain = domain - else: - if [slot for slot, value in state['belief_state'][domain.lower()]['semi'].items() if value]: - domain_active_dict[domain] = True - - book = np.zeros(len(self.db_domains)) - for i, domain in enumerate(self.db_domains): - if state['belief_state'][domain.lower()]['book']['booked']: - book[i] = 1. - - degree, number_entities_dict = self.pointer() - - final = 1. if state['terminated'] else 0. - - state_vec = np.r_[opp_act_vec, last_act_vec, - belief_state, book, degree, final] - assert len(state_vec) == self.state_dim - - if self.use_mask is not None: - # None covers the case for policies that don't use masking at all, so do not expect an output "state_vec, mask" - if self.use_mask: - domain_mask = self.compute_domain_mask(domain_active_dict) - entity_mask = self.compute_entity_mask(number_entities_dict) - general_mask = self.compute_general_mask() - mask = domain_mask + entity_mask + general_mask - for i in range(self.da_dim): - mask[i] = -int(bool(mask[i])) * sys.maxsize - else: - mask = np.zeros(self.da_dim) - - return state_vec, mask - else: - return state_vec diff --git a/convlab2/policy/vector/vector_multiwoz_uncertainty.py b/convlab2/policy/vector/vector_multiwoz_uncertainty.py index 1fc4a3d137178f6bbf4633c7c98905855d18e854..65d4fc0b30f70885f3ff9285b54bb93f71666fe3 100644 --- a/convlab2/policy/vector/vector_multiwoz_uncertainty.py +++ b/convlab2/policy/vector/vector_multiwoz_uncertainty.py @@ -6,7 +6,7 @@ import logging from convlab2.util.multiwoz.lexicalize import delexicalize_da, flat_da from convlab2.util.multiwoz.state import default_state from convlab2.util.multiwoz.multiwoz_slot_trans import REF_SYS_DA -from .vector_multiwoz import MultiWozVector as MultiWozVectorBase +from .vector_binary import VectorBinary as VectorBase DEFAULT_INTENT_FILEPATH = os.path.join( os.path.dirname(os.path.dirname(os.path.dirname( @@ -18,7 +18,7 @@ DEFAULT_INTENT_FILEPATH = os.path.join( SLOT_MAP = {'taxi_types': 'car type'} -class MultiWozVector(MultiWozVectorBase): +class MultiWozVector(VectorBase): def __init__(self, voc_file=None, voc_opp_file=None, character='sys', intent_file=DEFAULT_INTENT_FILEPATH, @@ -145,8 +145,6 @@ class MultiWozVector(MultiWozVectorBase): action = state['user_action'] for intent, domain, slot, value in action: domain_active_dict[domain] = True - if domain in self.db_domains: - self.cur_domain = domain action = state['user_action'] if self.character == 'sys' else state['system_action'] opp_action = delexicalize_da(action, self.requestable) @@ -189,8 +187,6 @@ class MultiWozVector(MultiWozVectorBase): if 'active_domains' in state: domain_active = state['active_domains'][domain.lower()] domain_active_dict[domain] = domain_active - if domain in self.db_domains and domain_active: - self.cur_domain = domain else: if [slot for slot, value in state['belief_state'][domain.lower()]['semi'].items() if value]: domain_active_dict[domain] = True diff --git a/convlab2/util/custom_util.py b/convlab2/util/custom_util.py index 21083d9964fb329eae692a6d8638b59d5a5408ae..8ca73ff60930ba8e5f8d39052fbbbf472bcce193 100644 --- a/convlab2/util/custom_util.py +++ b/convlab2/util/custom_util.py @@ -7,6 +7,7 @@ import json import zipfile import numpy as np import torch +from datasets import load_dataset from tensorboardX import SummaryWriter from convlab2.util.file_util import cached_path from convlab2.policy.evaluate_distributed import evaluate_distributed @@ -17,11 +18,9 @@ from convlab2.dialog_agent.env import Environment from convlab2.dst.rule.multiwoz import RuleDST from convlab2.policy.rule.multiwoz import RulePolicy from convlab2.evaluator.multiwoz_eval import MultiWozEvaluator +from convlab2.util import load_dataset import shutil -from convlab2.util.multiwoz.state import default_state -from convlab2.util.multiwoz.multiwoz_slot_trans import REF_SYS_DA, REF_USR_DA - slot_mapping = {"pricerange": "price range", "post": "postcode", "arriveBy": "arrive by", "leaveAt": "leave at", "Id": "trainid", "ref": "reference"} @@ -54,6 +53,14 @@ def move_finished_training(dir_in, dir_to): logging.info("Moved results to finished experiments folder.") +def flatten_acts(dialogue_acts): + act_list = [] + for act_type in dialogue_acts: + for act in dialogue_acts[act_type]: + act_list.append([act['intent'], act['domain'], act['slot'], act.get('value', "")]) + return act_list + + def load_config_file(filepath: str = None) -> dict: """ load config setting from json file @@ -91,7 +98,7 @@ def set_seed(seed): def init_logging(root_dir, mode): current_time = time.strftime("%Y-%m-%d-%H-%M-%S", time.localtime()) - dir_path = os.path.join(root_dir, f'experiment_{current_time}') + dir_path = os.path.join(root_dir, f'experiments/experiment_{current_time}') # init_logging_nunu(dir_path) _, log_save_path = init_logging_nunu(dir_path, mode) save_path = os.path.join(dir_path, 'save') @@ -164,7 +171,12 @@ def eval_policy(conf, policy_sys, env, sess, save_eval, log_save_path): logging.info( f"{key}: Num: {len(task_success[key])} Success: {np.average(task_success[key]) if len(task_success[key]) > 0 else 0}") - return complete_rate, success_rate, success_rate_strict, avg_return, turns, avg_actions + return {"complete_rate": complete_rate, + "success_rate": success_rate, + "success_rate_strict": success_rate_strict, + "avg_return": avg_return, + "turns": turns, + "avg_actions": avg_actions} def env_config(conf, policy_sys, check_book_constraints=True): @@ -368,3 +380,59 @@ def model_downloader(download_dir, model_path): archive = zipfile.ZipFile(model_path, 'r') archive.extractall(download_dir) archive.close() + + +def get_goal_distribution(dataset_name='multiwoz21'): + + data_split = load_dataset(dataset_name) + domain_combinations = {} + for key in data_split: + data = data_split[key] + for dialogue in data: + goal = dialogue['goal'] + domains = list(set(goal['inform'].keys()) | set(goal['request'].keys())) + domains.sort() + domains = "-".join(domains) + + if domains not in domain_combinations: + domain_combinations[domains] = 1 + else: + domain_combinations[domains] += 1 + + single_domain_counter = {} + for combi in domain_combinations: + for domain in combi.split("-"): + if domain not in single_domain_counter: + single_domain_counter[domain] = domain_combinations[combi] + else: + single_domain_counter[domain] += domain_combinations[combi] + + domain_combinations = list(domain_combinations.items()) + domain_combinations = [list(pair) for pair in domain_combinations] + domain_combinations.sort(key=lambda x: x[1], reverse=True) + print(domain_combinations) + print(single_domain_counter) + print("Number of combinations:", sum([value for _, value in domain_combinations])) + + +def unified_format(acts): + new_acts = {'categorical': []} + for act in acts: + intent, domain, slot, value = act + new_acts['categorical'].append({"intent": intent, "domain": domain, "slot": slot, "value": value}) + + return new_acts + + +def act_dict_to_flat_tuple(acts): + tuples = [] + for domain_intent, svs in acts.items(): + for slot, value in svs: + domain, intent = domain_intent.split('-') + tuples.append([intent, domain, slot, value]) + + +if __name__ == '__main__': + get_goal_distribution() + + diff --git a/convlab2/util/multiwoz/lexicalize.py b/convlab2/util/multiwoz/lexicalize.py index 3f798e46a8e70a38469047cde07ba4a1525b0074..01ee5591c1f6ba9024bc55f31f47c95f2b580b3a 100755 --- a/convlab2/util/multiwoz/lexicalize.py +++ b/convlab2/util/multiwoz/lexicalize.py @@ -1,11 +1,15 @@ from copy import deepcopy + from convlab2.util.multiwoz.multiwoz_slot_trans import REF_SYS_DA +from data.unified_datasets.multiwoz21.preprocess import reverse_da_slot_name_map def delexicalize_da(da, requestable): delexicalized_da = [] counter = {} for intent, domain, slot, value in da: + if slot == "": + slot = 'none' if intent in requestable: v = '?' else: @@ -37,85 +41,53 @@ def deflat_da(meta): return dialog_act -def lexicalize_da(meta, entities, state, requestable, cur_domain=None): +def lexicalize_da(meta, entities, state, requestable): meta = deepcopy(meta) - for k, v in meta.items(): domain, intent = k.split('-') - if domain.lower() in ['general']: + if domain in ['general']: continue elif intent in requestable: for pair in v: pair[1] = '?' - elif intent.lower() in ['nooffer', 'nobook']: - booking = False - if domain.lower() in ['booking']: - if cur_domain and cur_domain in entities: - domain = cur_domain - booking = True - else: - continue - for pair in v: - # Extra else 'none' ensures that if info not available value is returned at none - if not booking: - if pair[0] in REF_SYS_DA[domain]: - slot = REF_SYS_DA[domain][pair[0]] - if slot in state[domain.lower()]['semi']: - pair[1] = state[domain.lower()]['semi'][slot] - else: - pair[1] = 'none' - else: - pair[1] = 'none' - else: - if pair[0] in REF_SYS_DA['Booking']: - slot = REF_SYS_DA['Booking'][pair[0]] - if slot in state[domain.lower()]['book']: - pair[1] = state[domain.lower()]['book'][slot] - else: - pair[1] = 'none' - else: - pair[1] = 'none' else: - if intent.lower() == "book": + if intent == "book": + # this means we booked something. We retrieve reference number here for pair in v: - if len(entities[domain]) > 0: - slot = REF_SYS_DA[domain].get('Ref', 'Ref') - if slot in entities[domain][0]: - pair[1] = entities[domain][0][slot] + n = int(pair[1]) - 1 if pair[1] != 'none' else 0 + if len(entities[domain]) > n: + if 'Ref' in entities[domain][n]: + pair[1] = entities[domain][n]['Ref'] continue - if domain.lower() in ['booking']: - if cur_domain and cur_domain in entities: - domain = cur_domain - else: - continue for pair in v: if pair[1] == 'none': continue elif pair[0].lower() == 'choice': pair[1] = str(len(entities[domain])) else: - # Here we added code to search for slot value in book and semi part of belief state - # if not available for the entity. Eg book day. + # try to retrieve value from the database entity, otherwise from the belief state + if domain != 'taxi': + slot_reverse = reverse_da_slot_name_map.get(pair[0], pair[0]) + else: + slot_reverse = reverse_da_slot_name_map['taxi'].get(pair[0], pair[0]) + slot_old = REF_SYS_DA[domain.capitalize()].get(slot_reverse, pair[0].lower()) + slot = pair[0] n = int(pair[1]) - 1 if len(entities[domain]) > n: - slot = REF_SYS_DA[domain].get(pair[0], pair[0].lower()) if slot in entities[domain][n]: pair[1] = entities[domain][n][slot] - elif slot in state[domain.lower()]['book']: - pair[1] = state[domain.lower()]['book'][slot] - elif slot in state[domain.lower()]['semi']: - pair[1] = state[domain.lower()]['semi'][slot] - else: - pair[1] = 'not available' + elif "".join(slot.split(" ")) in entities[domain][n]: + pair[1] = entities[domain][n]["".join(slot.split(" "))] + elif slot.capitalize() in entities[domain][n]: + pair[1] = entities[domain][n][slot.capitalize()] + elif slot_old in entities[domain][n]: + pair[1] = entities[domain][n][slot_old] + elif slot in state[domain]: + pair[1] = state[domain][slot] pair[1] = pair[1] if pair[1] else 'not available' - elif pair[0] in REF_SYS_DA[domain]: - slot = REF_SYS_DA[domain].get(pair[0], pair[0].lower()) - if slot in state[domain.lower()]['semi']: - pair[1] = state[domain.lower()]['semi'][slot] - else: - pair[1] = 'none' - pair[1] = pair[1] if pair[1] else 'none' + elif slot in state[domain]: + pair[1] = state[domain][slot] if state[domain][slot] else 'none' else: pair[1] = 'none' diff --git a/convlab2/util/multiwoz/state.py b/convlab2/util/multiwoz/state.py index e951d96f90cd8b4e290a2a435b8e442d8318aa5b..8f9aad11a074a8461c583810af4a388edda19d11 100755 --- a/convlab2/util/multiwoz/state.py +++ b/convlab2/util/multiwoz/state.py @@ -2,88 +2,8 @@ def default_state(): state = dict(user_action=[], system_action=[], belief_state={}, + booked={}, request_state={}, terminated=False, history=[]) - state['belief_state'] = { - "police": { - "book": { - "booked": [] - }, - "semi": {} - }, - "hotel": { - "book": { - "booked": [], - "people": "", - "day": "", - "stay": "" - }, - "semi": { - "name": "", - "area": "", - "parking": "", - "pricerange": "", - "stars": "", - "internet": "", - "type": "" - } - }, - "attraction": { - "book": { - "booked": [] - }, - "semi": { - "type": "", - "name": "", - "area": "" - } - }, - "restaurant": { - "book": { - "booked": [], - "people": "", - "day": "", - "time": "" - }, - "semi": { - "food": "", - "pricerange": "", - "name": "", - "area": "", - } - }, - "hospital": { - "book": { - "booked": [] - }, - "semi": { - "department": "" - } - }, - "taxi": { - "book": { - "booked": [] - }, - "semi": { - "leaveAt": "", - "destination": "", - "departure": "", - "arriveBy": "" - } - }, - "train": { - "book": { - "booked": [], - "people": "" - }, - "semi": { - "leaveAt": "", - "destination": "", - "day": "", - "arriveBy": "", - "departure": "" - } - } - } return state diff --git a/convlab2/util/unified_datasets_util.py b/convlab2/util/unified_datasets_util.py index ed9c211f9ae1276df257376056df0677057eaca0..014f5306a4f41637d9dab92d1fcb00a4d41a3463 100644 --- a/convlab2/util/unified_datasets_util.py +++ b/convlab2/util/unified_datasets_util.py @@ -19,11 +19,12 @@ class BaseDatabase(ABC): """return a list of topk entities (dict containing slot-value pairs) for a given domain based on the dialogue state.""" -def load_dataset(dataset_name:str) -> Dict: +def load_dataset(dataset_name:str, dial_ids_order=None) -> Dict: """load unified dataset from `data/unified_datasets/$dataset_name` Args: dataset_name (str): unique dataset name in `data/unified_datasets` + dial_ids_order (int): idx of shuffled dial order in `data/unified_datasets/$dataset_name/shuffled_dial_ids.json` Returns: dataset (dict): keys are data splits and the values are lists of dialogues @@ -33,11 +34,16 @@ def load_dataset(dataset_name:str) -> Dict: with archive.open('data/dialogues.json') as f: dialogues = json.loads(f.read()) dataset = {} - for dialogue in dialogues: - if dialogue['data_split'] not in dataset: - dataset[dialogue['data_split']] = [dialogue] - else: - dataset[dialogue['data_split']].append(dialogue) + if dial_ids_order is not None: + dial_ids = json.load(open(os.path.join(data_dir, 'shuffled_dial_ids.json')))[dial_ids_order] + for data_split in dial_ids: + dataset[data_split] = [dialogues[i] for i in dial_ids[data_split]] + else: + for dialogue in dialogues: + if dialogue['data_split'] not in dataset: + dataset[dialogue['data_split']] = [dialogue] + else: + dataset[dialogue['data_split']].append(dialogue) return dataset def load_ontology(dataset_name:str) -> Dict: @@ -118,12 +124,15 @@ def load_unified_data( sample['domains'] = dialogue['domains'] if terminated: sample['terminated'] = turn['utt_idx'] == len(dialogue['turns']) - 1 + if speaker == 'system' and 'booked' in turn: + sample['booked'] = turn['booked'] data_by_split[data_split].append(sample) if not split_to_turn: dialogue['turns'] = context data_by_split[data_split].append(dialogue) return data_by_split + def load_nlu_data(dataset, data_split='all', speaker='user', use_context=False, context_window_size=0, **kwargs): kwargs.setdefault('data_split', data_split) kwargs.setdefault('speaker', speaker) @@ -133,6 +142,7 @@ def load_nlu_data(dataset, data_split='all', speaker='user', use_context=False, kwargs.setdefault('dialogue_acts', True) return load_unified_data(dataset, **kwargs) + def load_dst_data(dataset, data_split='all', speaker='user', context_window_size=100, **kwargs): kwargs.setdefault('data_split', data_split) kwargs.setdefault('speaker', speaker) @@ -151,6 +161,7 @@ def load_policy_data(dataset, data_split='all', speaker='system', context_window kwargs.setdefault('state', True) kwargs.setdefault('db_results', True) kwargs.setdefault('dialogue_acts', True) + kwargs.setdefault('terminated', True) return load_unified_data(dataset, **kwargs) def load_nlg_data(dataset, data_split='all', speaker='system', use_context=False, context_window_size=0, **kwargs): @@ -182,8 +193,12 @@ def load_rg_data(dataset, data_split='all', speaker='system', context_window_siz return load_unified_data(dataset, **kwargs) -def create_delex_data(dataset, delex_format='[({domain})-({slot})]', ignore_values=['yes', 'no']): - # add delex_utterance to the dataset according to dialogue acts and belief_state +def create_delex_data(dataset, delex_func=lambda d,s,v: f'[({d})-({s})]', ignore_values=['yes', 'no']): + """add delex_utterance to the dataset according to dialogue acts and belief_state + delex_func: function that return the placeholder (e.g. "[(domain_name)-(slot_name)]") given (domain, slot, value) + ignore_values: ignored values when delexicalizing using the categorical acts and states + """ + # def delex_inplace(texts_placeholders, value_pattern): res = [] @@ -199,7 +214,7 @@ def create_delex_data(dataset, delex_format='[({domain})-({slot})]', ignore_valu substring = texts_placeholders[idx][0] searchObj = re.search(value_pattern, substring) assert searchObj - start, end = searchObj.span(2) + start, end = searchObj.span(1) texts_placeholders[idx:idx+1] = [(substring[0:start], False), (placeholder, True), (substring[end:], False)] return True return False @@ -221,7 +236,7 @@ def create_delex_data(dataset, delex_format='[({domain})-({slot})]', ignore_valu assert utt[start:end] == value # make sure there are no words/number prepend & append and no overlap with other spans if start >= last_end and (start == 0 or re.match('\W', utt[start-1])) and (end == len(utt) or re.match('\W', utt[end])): - placeholder = delex_format.format(domain=domain, slot=slot, value=value) + placeholder = delex_func(domain, slot, value) delex_vocab.add(placeholder) delex_utt.append((utt[last_end:start], False)) delex_utt.append((placeholder, True)) @@ -232,8 +247,8 @@ def create_delex_data(dataset, delex_format='[({domain})-({slot})]', ignore_valu for da in sorted(turn['dialogue_acts']['categorical'], key=lambda x: len(x['value'])): domain, slot, value = da['domain'], da['slot'], da['value'] if value.lower() not in ignore_values: - placeholder = delex_format.format(domain=domain, slot=slot, value=value) - pattern = re.compile(r'(\W|^)'+f'({value})'+r'(\W|$)', flags=re.I) + placeholder = delex_func(domain, slot, value) + pattern = re.compile(r'\b({})\b'.format(value), flags=re.I) if delex_inplace(delex_utt, pattern): delex_vocab.add(placeholder) @@ -246,8 +261,8 @@ def create_delex_data(dataset, delex_format='[({domain})-({slot})]', ignore_valu # has value for value in values.split('|'): if value.lower() not in ignore_values: - placeholder = delex_format.format(domain=domain, slot=slot, value=value) - pattern = re.compile(r'(\W|^)'+f'({value})'+r'(\W|$)', flags=re.I) + placeholder = delex_func(domain, slot, value) + pattern = re.compile(r'\b({})\b'.format(value), flags=re.I) if delex_inplace(delex_utt, pattern): delex_vocab.add(placeholder) @@ -257,7 +272,10 @@ def create_delex_data(dataset, delex_format='[({domain})-({slot})]', ignore_valu if __name__ == "__main__": - dataset = load_dataset('multiwoz21') + dataset = load_dataset('multiwoz21', dial_ids_order=0) + train_ratio = 0.1 + dataset['train'] = dataset['train'][:round(len(dataset['train'])*train_ratio)] + print(len(dataset['train'])) print(dataset.keys()) print(len(dataset['test'])) @@ -269,10 +287,14 @@ if __name__ == "__main__": data_by_split = load_nlu_data(dataset, data_split='test', speaker='user') pprint(data_by_split['test'][0]) - dataset, delex_vocab = create_delex_data(dataset) - json.dump(dataset['test'], open('delex_multiwoz21_test.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) - json.dump(delex_vocab, open('delex_vocab.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) - with open('delex_cmp.txt', 'w') as f: + def delex_slot(domain, slot, value): + # only use slot name for delexicalization + return f'[{slot}]' + + dataset, delex_vocab = create_delex_data(dataset, delex_slot) + json.dump(dataset['test'], open('new_delex_multiwoz21_test.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) + json.dump(delex_vocab, open('new_delex_vocab.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) + with open('new_delex_cmp.txt', 'w') as f: for dialog in dataset['test']: for turn in dialog['turns']: f.write(turn['utterance']+'\n') diff --git a/data/multiwoz/sys_da_voc_shrinked.txt b/data/multiwoz/sys_da_voc_shrinked.txt deleted file mode 100644 index 7a5311cf66b7453bfb14a868d8643c0f45feb0ed..0000000000000000000000000000000000000000 --- a/data/multiwoz/sys_da_voc_shrinked.txt +++ /dev/null @@ -1,162 +0,0 @@ -Attraction-Inform-Addr-1 -Attraction-Inform-Area-1 -Attraction-Inform-Choice-1 -Attraction-Inform-Fee-1 -Attraction-Inform-Name-1 -Attraction-Inform-Phone-1 -Attraction-Inform-Post-1 -Attraction-Inform-Type-1 -Attraction-NoOffer-Area-1 -Attraction-NoOffer-Type-1 -Attraction-NoOffer-none-none -Attraction-Recommend-Addr-1 -Attraction-Recommend-Area-1 -Attraction-Recommend-Fee-1 -Attraction-Recommend-Name-1 -Attraction-Recommend-Phone-1 -Attraction-Recommend-Post-1 -Attraction-Recommend-Type-1 -Attraction-Request-Area-? -Attraction-Request-Name-? -Attraction-Request-Price-? -Attraction-Request-Type-? -Attraction-Select-Type-1 -Attraction-Select-none-none -Booking-Book-Day-1 -Booking-Book-Name-1 -Booking-Book-People-1 -Booking-Book-Ref-1 -Booking-Book-Stay-1 -Booking-Book-Time-1 -Booking-Book-none-none -Booking-Inform-Day-1 -Booking-Inform-Name-1 -Booking-Inform-People-1 -Booking-Inform-none-none -Booking-NoBook-Day-1 -Booking-NoBook-Name-1 -Booking-NoBook-Time-1 -Booking-NoBook-none-none -Booking-Request-Day-? -Booking-Request-People-? -Booking-Request-Stay-? -Booking-Request-Time-? -Hospital-Inform-Addr-1 -Hospital-Inform-Department-1 -Hospital-Inform-Phone-1 -Hospital-Inform-Post-1 -Hospital-Request-Department-? -Hotel-Inform-Addr-1 -Hotel-Inform-Area-1 -Hotel-Inform-Choice-1 -Hotel-Inform-Internet-1 -Hotel-Inform-Name-1 -Hotel-Inform-Parking-1 -Hotel-Inform-Phone-1 -Hotel-Inform-Post-1 -Hotel-Inform-Price-1 -Hotel-Inform-Stars-1 -Hotel-Inform-Type-1 -Hotel-NoOffer-Area-1 -Hotel-NoOffer-Price-1 -Hotel-NoOffer-Stars-1 -Hotel-NoOffer-Type-1 -Hotel-NoOffer-none-none -Hotel-Recommend-Addr-1 -Hotel-Recommend-Area-1 -Hotel-Recommend-Internet-1 -Hotel-Recommend-Name-1 -Hotel-Recommend-Parking-1 -Hotel-Recommend-Price-1 -Hotel-Recommend-Stars-1 -Hotel-Recommend-Type-1 -Hotel-Request-Area-? -Hotel-Request-Internet-? -Hotel-Request-Name-? -Hotel-Request-Parking-? -Hotel-Request-Price-? -Hotel-Request-Stars-? -Hotel-Request-Type-? -Hotel-Select-Area-1 -Hotel-Select-Name-1 -Hotel-Select-Price-1 -Hotel-Select-Type-1 -Hotel-Select-none-none -Police-Inform-Addr-1 -Police-Inform-Name-1 -Police-Inform-Phone-1 -Police-Inform-Post-1 -Restaurant-Inform-Addr-1 -Restaurant-Inform-Area-1 -Restaurant-Inform-Choice-1 -Restaurant-Inform-Food-1 -Restaurant-Inform-Name-1 -Restaurant-Inform-Phone-1 -Restaurant-Inform-Post-1 -Restaurant-Inform-Price-1 -Restaurant-Inform-Ref-1 -Restaurant-NoOffer-Area-1 -Restaurant-NoOffer-Food-1 -Restaurant-NoOffer-Price-1 -Restaurant-NoOffer-none-none -Restaurant-Recommend-Addr-1 -Restaurant-Recommend-Area-1 -Restaurant-Recommend-Food-1 -Restaurant-Recommend-Name-1 -Restaurant-Recommend-Phone-1 -Restaurant-Recommend-Post-1 -Restaurant-Recommend-Price-1 -Restaurant-Request-Area-? -Restaurant-Request-Food-? -Restaurant-Request-Name-? -Restaurant-Request-Price-? -Restaurant-Select-Area-1 -Restaurant-Select-Food-1 -Restaurant-Select-Name-1 -Restaurant-Select-Price-1 -Restaurant-Select-none-none -Taxi-Inform-Arrive-1 -Taxi-Inform-Car-1 -Taxi-Inform-Depart-1 -Taxi-Inform-Dest-1 -Taxi-Inform-Leave-1 -Taxi-Inform-Phone-1 -Taxi-Request-Arrive-? -Taxi-Request-Depart-? -Taxi-Request-Dest-? -Taxi-Request-Leave-? -Train-Inform-Arrive-1 -Train-Inform-Choice-1 -Train-Inform-Day-1 -Train-Inform-Depart-1 -Train-Inform-Dest-1 -Train-Inform-Id-1 -Train-Inform-Leave-1 -Train-Inform-Ref-1 -Train-Inform-Ticket-1 -Train-Inform-Time-1 -Train-OfferBook-Arrive-1 -Train-OfferBook-Id-1 -Train-OfferBook-Leave-1 -Train-OfferBook-none-none -Train-OfferBooked-Arrive-1 -Train-OfferBooked-Day-1 -Train-OfferBooked-Depart-1 -Train-OfferBooked-Dest-1 -Train-OfferBooked-Id-1 -Train-OfferBooked-Leave-1 -Train-OfferBooked-People-1 -Train-OfferBooked-Ref-1 -Train-OfferBooked-Ticket-1 -Train-Request-Arrive-? -Train-Request-Day-? -Train-Request-Depart-? -Train-Request-Dest-? -Train-Request-Leave-? -Train-Request-People-? -Train-Select-Leave-1 -Train-Select-none-none -general-bye-none-none -general-greet-none-none -general-reqmore-none-none -general-welcome-none-none diff --git a/data/unified_datasets/README.md b/data/unified_datasets/README.md index 77ffb19169b8fd55678ac55fe3d9e2100ecfe13c..a5426adf956cbc226a8bada10f6b14f8449f4bcd 100644 --- a/data/unified_datasets/README.md +++ b/data/unified_datasets/README.md @@ -42,6 +42,7 @@ if __name__ == '__main__': - `dialogues.json`: a list of all dialogues in the dataset. - other necessary files such as databases. - `dummy_data.json`: a list of 10 dialogues from `dialogues.json` for illustration. +- `shuffled_dial_ids.json`: 10 random shuffled data orders created by `check.py` for experiment reproducibility, can be used in `load_dataset` function by passing the `dial_ids_order` in [0, 9] Datasets that require database interaction should also include the following file: - `database.py`: load the database and define the query function: @@ -60,7 +61,7 @@ class Database(BaseDatabase): We first introduce the unified format of `ontology` and `dialogues`. To transform a new dataset into the unified format: 1. Create `data/unified_datasets/$dataset` folder, where `$dataset` is the name of the dataset. 2. Write `preprocess.py` to transform the original dataset into the unified format, producing `data.zip` and `dummy_data.json`. -3. Run `python check.py $dataset` in the `data/unified_datasets` directory to check the validation of processed dataset and get data statistics. +3. Run `python check.py $dataset` in the `data/unified_datasets` directory to check the validation of processed dataset and get data statistics and shuffled dialog ids. 4. Write `README.md` to describe the data following [How to create dataset README](#how-to-create-dataset-readme). ### Ontology @@ -120,7 +121,7 @@ Note that multiple descriptions/values are separated by `"|"`. Other attributes are optional. -> **Necessary**: Run `python check.py $dataset` in the `data/unified_datasets` directory to check the validation of processed dataset and get data statistics in `data/unified_datasets/$dataset/stat.txt`. +> **Necessary**: Run `python check.py $dataset` in the `data/unified_datasets` directory to check the validation of processed dataset and get data statistics in `data/unified_datasets/$dataset/stat.txt` as well as shuffled dialog ids in `data/unified_datasets/$dataset/shuffled_dial_ids.json`. ### How to create dataset README Each dataset has a README.md to describe the original and transformed data. Please follow the `README_TEMPLATE.md` and make sure that you: diff --git a/data/unified_datasets/camrest/shuffled_dial_ids.json b/data/unified_datasets/camrest/shuffled_dial_ids.json new file mode 100644 index 0000000000000000000000000000000000000000..2bd5db911ddd374673985041ccba416a8fe18ec8 --- /dev/null +++ b/data/unified_datasets/camrest/shuffled_dial_ids.json @@ -0,0 +1 @@ +[{"train": [237, 265, 300, 394, 133, 359, 173, 69, 134, 12, 267, 204, 207, 162, 311, 156, 302, 151, 198, 239, 37, 257, 178, 54, 142, 291, 235, 147, 128, 35, 255, 171, 177, 316, 236, 269, 2, 264, 149, 286, 50, 319, 358, 353, 253, 187, 357, 241, 321, 261, 104, 119, 393, 25, 152, 60, 343, 20, 336, 126, 333, 238, 221, 17, 153, 40, 222, 136, 390, 272, 382, 299, 100, 383, 76, 223, 276, 96, 328, 106, 341, 26, 172, 355, 182, 242, 167, 85, 62, 227, 285, 344, 98, 56, 117, 145, 372, 39, 367, 259, 5, 46, 310, 72, 404, 263, 260, 122, 107, 282, 129, 67, 301, 342, 101, 292, 376, 318, 196, 351, 30, 375, 6, 158, 92, 335, 219, 131, 44, 309, 392, 334, 201, 218, 63, 229, 298, 164, 161, 195, 127, 176, 31, 360, 120, 320, 170, 10, 327, 200, 399, 138, 306, 18, 338, 43, 24, 36, 190, 179, 214, 111, 169, 185, 402, 388, 130, 249, 244, 38, 95, 280, 395, 8, 326, 277, 384, 183, 118, 234, 315, 163, 217, 79, 268, 308, 93, 405, 224, 203, 391, 329, 150, 386, 168, 387, 75, 165, 51, 346, 155, 303, 33, 116, 78, 175, 61, 94, 370, 80, 332, 23, 1, 108, 53, 112, 246, 256, 9, 373, 70, 379, 377, 102, 19, 137, 77, 213, 29, 159, 293, 74, 323, 202, 215, 275, 251, 349, 0, 287, 192, 231, 81, 350, 99, 68, 369, 28, 189, 115, 97, 403, 11, 135, 304, 65, 340, 230, 248, 212, 345, 279, 289, 88, 378, 216, 266, 84, 123, 91, 191, 188, 252, 283, 347, 160, 103, 401, 226, 352, 400, 295, 365, 64, 396, 83, 87, 143, 296, 354, 381, 180, 228, 7, 4, 22, 82, 16, 58, 124, 270, 380, 385, 66, 49, 233, 331, 144, 397, 47, 337, 166, 281, 317, 194, 240, 254, 247, 209, 199, 71, 220, 356, 208, 371, 398, 389, 339, 140, 243, 362, 141, 32, 197, 3, 86, 48, 132, 89, 186, 294, 27, 139, 361, 324, 34, 210, 278, 366, 364, 125, 374, 55, 13, 15, 250, 181, 274, 193, 113, 41, 211, 90, 307, 314, 184, 42, 73, 271, 245, 121, 297, 157, 368, 273, 14, 205, 262, 232, 363, 313, 45, 206, 109, 330, 148, 57, 114, 284, 225, 348, 288, 154, 174, 59, 105, 305, 258, 21, 325, 52, 322, 110, 312, 290, 146], "validation": [449, 495, 432, 458, 436, 451, 454, 443, 470, 506, 411, 531, 422, 527, 501, 473, 487, 441, 524, 407, 420, 538, 455, 461, 410, 428, 519, 434, 418, 424, 507, 502, 520, 463, 478, 415, 416, 475, 462, 534, 474, 464, 536, 483, 465, 510, 505, 518, 528, 503, 494, 450, 412, 427, 530, 514, 537, 468, 492, 540, 476, 535, 491, 423, 414, 522, 446, 500, 481, 440, 499, 493, 533, 460, 512, 435, 409, 477, 480, 496, 437, 459, 467, 456, 419, 466, 439, 509, 517, 511, 471, 444, 485, 431, 521, 516, 430, 498, 490, 472, 457, 525, 484, 425, 442, 452, 497, 508, 526, 448, 413, 438, 453, 447, 515, 482, 469, 445, 479, 539, 421, 532, 429, 523, 486, 433, 417, 529, 504, 513, 406, 408, 489, 426, 488], "test": [656, 570, 633, 626, 546, 616, 648, 657, 654, 588, 658, 582, 655, 618, 541, 635, 552, 599, 643, 568, 584, 622, 550, 583, 621, 672, 625, 586, 608, 638, 596, 576, 590, 592, 671, 663, 595, 619, 617, 606, 639, 649, 628, 647, 551, 573, 631, 646, 674, 653, 609, 561, 640, 566, 598, 624, 560, 565, 634, 542, 651, 612, 636, 670, 585, 652, 675, 571, 607, 602, 660, 594, 553, 563, 667, 614, 641, 603, 559, 555, 548, 543, 574, 575, 668, 630, 650, 613, 589, 579, 578, 572, 627, 661, 665, 645, 666, 577, 580, 544, 567, 554, 547, 557, 556, 605, 558, 610, 637, 662, 600, 673, 569, 601, 629, 581, 564, 642, 562, 620, 615, 611, 593, 669, 597, 545, 549, 623, 644, 587, 664, 632, 604, 659, 591]}, {"train": [219, 45, 295, 20, 94, 316, 334, 166, 130, 208, 36, 377, 137, 325, 360, 188, 330, 344, 257, 284, 185, 290, 144, 267, 253, 243, 193, 77, 165, 102, 328, 279, 29, 183, 60, 378, 9, 151, 143, 340, 375, 37, 252, 5, 181, 117, 64, 366, 196, 160, 180, 298, 206, 42, 82, 269, 317, 201, 280, 136, 138, 238, 128, 145, 24, 125, 87, 167, 172, 170, 261, 329, 66, 178, 224, 240, 194, 250, 350, 13, 88, 268, 307, 236, 30, 324, 179, 55, 205, 84, 247, 2, 101, 270, 17, 156, 49, 341, 110, 98, 157, 52, 209, 59, 164, 44, 223, 146, 282, 235, 342, 127, 382, 124, 221, 140, 199, 368, 92, 21, 249, 90, 51, 380, 228, 106, 266, 116, 56, 358, 68, 31, 367, 216, 399, 150, 123, 352, 89, 69, 34, 63, 27, 100, 214, 220, 297, 168, 33, 287, 133, 174, 141, 296, 347, 22, 6, 322, 232, 161, 300, 198, 310, 254, 119, 176, 173, 337, 129, 364, 383, 386, 376, 292, 241, 4, 356, 242, 10, 18, 276, 397, 39, 62, 373, 229, 19, 175, 265, 225, 293, 147, 15, 351, 12, 78, 67, 86, 398, 57, 251, 401, 169, 3, 186, 384, 215, 339, 71, 369, 305, 131, 26, 275, 112, 16, 233, 355, 95, 288, 335, 187, 327, 273, 303, 365, 122, 255, 395, 43, 159, 304, 107, 371, 387, 85, 312, 73, 281, 182, 41, 306, 105, 197, 259, 361, 50, 248, 28, 1, 379, 283, 359, 203, 227, 362, 115, 262, 0, 61, 202, 65, 97, 234, 302, 389, 299, 171, 246, 244, 260, 323, 40, 374, 8, 155, 80, 114, 38, 277, 402, 96, 326, 25, 54, 333, 113, 345, 192, 370, 75, 278, 46, 189, 372, 111, 222, 258, 331, 149, 237, 332, 272, 314, 319, 76, 321, 74, 118, 120, 231, 195, 226, 338, 79, 204, 121, 154, 70, 142, 400, 403, 190, 313, 191, 152, 217, 163, 210, 385, 47, 271, 349, 363, 109, 14, 83, 58, 53, 132, 177, 392, 404, 218, 207, 158, 162, 81, 336, 126, 315, 139, 388, 212, 153, 184, 289, 99, 346, 396, 104, 103, 357, 35, 348, 309, 264, 320, 274, 48, 294, 134, 301, 239, 291, 286, 285, 394, 308, 391, 311, 91, 390, 7, 354, 93, 393, 200, 256, 32, 23, 318, 353, 72, 245, 148, 263, 108, 135, 405, 230, 343, 11, 213, 211, 381], "validation": [449, 509, 527, 438, 464, 423, 479, 442, 462, 528, 484, 425, 433, 412, 522, 488, 460, 459, 515, 440, 483, 529, 447, 467, 419, 458, 473, 407, 491, 514, 486, 525, 505, 463, 406, 457, 496, 417, 526, 498, 534, 452, 411, 421, 501, 429, 454, 448, 444, 436, 410, 506, 422, 469, 533, 523, 474, 468, 477, 530, 414, 516, 455, 499, 512, 535, 482, 495, 503, 510, 475, 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435, 521, 419, 442, 540, 445, 472, 484, 486, 509, 516, 430, 429, 423, 482, 451, 523, 474, 457, 410, 478, 533, 446, 538, 448, 493, 437, 483, 427, 485, 499, 441, 512, 453, 426, 456, 439, 504, 468, 494, 462, 492, 517, 432, 514, 522, 511, 476, 489, 428, 502, 524, 535, 481, 529, 475, 406, 495, 506, 469, 526, 408, 467, 534, 537, 518, 487, 444, 417, 539, 411, 480, 503, 461, 460, 510, 505, 466, 490, 454, 520, 536, 465, 447, 440, 455, 421, 496, 507, 452, 470, 407, 433, 519, 491, 463, 531, 477, 409, 438], "test": [577, 542, 572, 609, 597, 591, 552, 639, 625, 626, 640, 592, 589, 545, 631, 613, 656, 665, 672, 611, 541, 623, 574, 596, 614, 563, 615, 618, 642, 600, 661, 544, 662, 654, 567, 670, 624, 666, 659, 581, 546, 582, 585, 636, 620, 643, 645, 583, 657, 598, 632, 553, 664, 579, 570, 599, 584, 668, 651, 669, 649, 549, 586, 653, 606, 641, 587, 590, 565, 616, 629, 573, 568, 628, 558, 610, 580, 652, 559, 617, 621, 547, 569, 562, 595, 571, 658, 647, 548, 619, 601, 673, 667, 671, 635, 575, 556, 594, 612, 550, 557, 603, 564, 644, 660, 646, 608, 554, 655, 622, 604, 566, 560, 555, 576, 663, 578, 588, 633, 543, 551, 593, 607, 605, 561, 627, 630, 602, 675, 648, 674, 650, 638, 634, 637]}, {"train": [164, 243, 109, 268, 187, 365, 63, 117, 254, 396, 399, 182, 230, 347, 247, 157, 282, 67, 390, 124, 49, 89, 357, 178, 188, 41, 78, 377, 216, 301, 350, 213, 321, 352, 205, 60, 25, 312, 320, 64, 372, 12, 306, 290, 176, 371, 333, 246, 240, 403, 346, 138, 148, 242, 276, 341, 366, 130, 343, 381, 118, 14, 340, 211, 334, 139, 16, 269, 90, 295, 201, 369, 36, 179, 376, 142, 210, 59, 10, 37, 61, 368, 367, 378, 374, 103, 107, 221, 248, 273, 402, 292, 120, 231, 172, 132, 209, 214, 199, 85, 233, 271, 218, 379, 359, 190, 76, 50, 351, 278, 77, 339, 121, 336, 225, 223, 143, 256, 123, 304, 163, 234, 116, 314, 297, 191, 270, 99, 57, 294, 203, 382, 195, 128, 39, 152, 235, 192, 79, 100, 375, 75, 174, 145, 208, 281, 311, 133, 363, 353, 131, 80, 19, 181, 30, 394, 102, 24, 11, 177, 184, 134, 33, 342, 280, 224, 147, 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158, 287, 56, 293, 88, 82, 317, 137, 398, 104, 219, 165, 239, 200, 323, 81, 45, 98, 257, 86, 198, 91, 237, 272, 327, 21], "validation": [463, 532, 433, 503, 473, 482, 442, 444, 529, 460, 533, 528, 457, 536, 516, 486, 531, 493, 414, 427, 425, 458, 421, 479, 430, 412, 445, 406, 501, 519, 471, 509, 439, 472, 535, 491, 497, 468, 419, 409, 422, 485, 411, 440, 446, 511, 418, 407, 466, 452, 478, 494, 499, 415, 540, 506, 455, 426, 424, 437, 483, 461, 490, 462, 428, 477, 456, 517, 502, 429, 453, 436, 508, 450, 495, 514, 525, 492, 504, 527, 441, 512, 537, 467, 451, 470, 524, 507, 530, 480, 464, 489, 522, 496, 510, 518, 413, 475, 432, 410, 443, 416, 449, 520, 434, 469, 408, 476, 539, 438, 523, 526, 513, 481, 484, 454, 423, 447, 448, 488, 500, 435, 534, 498, 420, 505, 459, 474, 515, 487, 431, 538, 417, 521, 465], "test": [621, 605, 556, 631, 586, 656, 608, 557, 669, 599, 588, 675, 598, 614, 668, 647, 637, 585, 575, 595, 596, 553, 636, 552, 640, 550, 639, 609, 574, 670, 649, 562, 616, 632, 645, 617, 644, 587, 554, 651, 570, 629, 541, 600, 578, 618, 548, 648, 613, 642, 659, 544, 543, 674, 624, 568, 660, 582, 561, 607, 565, 549, 615, 643, 619, 606, 630, 601, 626, 559, 571, 546, 597, 564, 653, 603, 641, 635, 654, 657, 610, 551, 620, 589, 604, 593, 663, 602, 558, 650, 634, 665, 638, 542, 590, 579, 573, 572, 658, 583, 666, 569, 667, 611, 625, 592, 581, 664, 547, 560, 577, 671, 655, 673, 622, 580, 672, 545, 591, 628, 563, 566, 623, 612, 576, 567, 662, 633, 555, 627, 652, 661, 646, 584, 594]}] \ No newline at end of file diff --git a/data/unified_datasets/check.py b/data/unified_datasets/check.py index 098fac3f121e8a7943313e93e8fecb01f8d6569c..b5db1876293a8596c747cad393d2dcb77061555f 100644 --- a/data/unified_datasets/check.py +++ b/data/unified_datasets/check.py @@ -4,6 +4,7 @@ from copy import deepcopy from zipfile import ZipFile import importlib from tabulate import tabulate +import random special_values = ['', 'dontcare', None, '?'] @@ -279,6 +280,20 @@ def check_dialogues(name, dialogues, ontology): return tabulate(table, headers='keys', tablefmt='github') +def create_shuffled_dial_ids(dialogues, rng=random.Random(42), num_orders=10): + dial_ids = {} + for i, dialogue in enumerate(dialogues): + dial_ids.setdefault(dialogue['data_split'], []) + dial_ids[dialogue['data_split']].append(i) + + id_orders = [] + for _ in range(num_orders): + for data_split in dial_ids: + rng.shuffle(dial_ids[data_split]) + id_orders.append(deepcopy(dial_ids)) + return id_orders + + if __name__ == '__main__': from argparse import ArgumentParser @@ -339,6 +354,10 @@ if __name__ == '__main__': dialogues = json.load(f) stat = check_dialogues(name, dialogues, ontology) print('pass') + print('creating shuffled_dial_ids') + id_orders = create_shuffled_dial_ids(dialogues) + with open(os.path.join(name, 'shuffled_dial_ids.json'), 'w', encoding='utf-8') as f: + json.dump(id_orders, f, ensure_ascii=False) print(f'Please copy and paste the statistics in {name}/stat.txt to dataset README.md->Data Splits section\n') with open(f'{name}/stat.txt', 'w') as f: diff --git a/data/unified_datasets/metalwoz/README.md b/data/unified_datasets/metalwoz/README.md index e49e76f5a938161fa1f39f5f762173f5841aabe6..0125a341ec30615eb0529e53ebd0104a308143dc 100644 --- a/data/unified_datasets/metalwoz/README.md +++ b/data/unified_datasets/metalwoz/README.md @@ -1,17 +1,58 @@ -# README +# Dataset Card for MetaLWOZ -## Features +- **Repository:** https://www.microsoft.com/en-us/research/project/metalwoz/ +- **Paper:** https://www.microsoft.com/en-us/research/publication/results-of-the-multi-domain-task-completion-dialog-challenge/ +- **Leaderboard:** None +- **Who transforms the dataset:** Qi Zhu(zhuq96 at gmail dot com) -No sentence-level annotation. Only annotate domain. +### Dataset Summary -Statistics: +This large dataset was created by crowdsourcing 37,884 goal-oriented dialogs, covering 227 tasks in 47 domains. Domains include bus schedules, apartment search, alarm setting, banking, and event reservation. Each dialog was grounded in a scenario with roles, pairing a person acting as the bot and a person acting as the user. (This is the Wizard of Oz reference—using people behind the curtain who act as the machine). Each pair were given a domain and a task, and instructed to converse for 10 turns to satisfy the user’s queries. For example, if a user asked if a bus stop was operational, the bot would respond that the bus stop had been moved two blocks north, which starts a conversation that addresses the user’s actual need. -| | \# dialogues | \# utterances | avg. turns | avg. tokens | \# domains | -| ----- | ------------ | ------------- | ---------- | ----------- | ---------- | -| train | 37884 | 362450 | 9.57 | 7.66 | - | -| test | 2319 | 21949 | 9.46 | 8.23 | - | +- **How to get the transformed data from original data:** + - Download [metalwoz-v1.zip](https://www.microsoft.com/en-us/download/58389) and [metalwoz-test-v1.zip](https://www.microsoft.com/en-us/download/100639). + - Run `python preprocess.py` in the current directory. +- **Main changes of the transformation:** + - `CITI_INFO`, `HOME_BOT`, `NAME_SUGGESTER`, and `TIME_ZONE` are randomly selected as the valiation domains. + - Remove the first utterance by the system since it is "Hello how may I help you?" in most case. + - Add goal description according to the original task description: user_role+user_prompt+system_role+system_prompt. +- **Annotations:** + - domain, goal +### Supported Tasks and Leaderboards -## Original data +RG, User simulator -- https://www.microsoft.com/en-us/research/project/metalwoz/ +### Languages + +English + +### Data Splits + +| split | dialogues | utterances | avg_utt | avg_tokens | avg_domains | cat slot match(state) | cat slot match(goal) | cat slot match(dialogue act) | non-cat slot span(dialogue act) | +|------------|-------------|--------------|-----------|--------------|---------------|-------------------------|------------------------|--------------------------------|-----------------------------------| +| train | 34261 | 357092 | 10.42 | 7.48 | 1 | - | - | - | - | +| validation | 3623 | 37060 | 10.23 | 6.59 | 1 | - | - | - | - | +| test | 2319 | 23882 | 10.3 | 7.96 | 1 | - | - | - | - | +| all | 40203 | 418034 | 10.4 | 7.43 | 1 | - | - | - | - | + +51 domains: ['AGREEMENT_BOT', 'ALARM_SET', 'APARTMENT_FINDER', 'APPOINTMENT_REMINDER', 'AUTO_SORT', 'BANK_BOT', 'BUS_SCHEDULE_BOT', 'CATALOGUE_BOT', 'CHECK_STATUS', 'CITY_INFO', 'CONTACT_MANAGER', 'DECIDER_BOT', 'EDIT_PLAYLIST', 'EVENT_RESERVE', 'GAME_RULES', 'GEOGRAPHY', 'GUINESS_CHECK', 'HOME_BOT', 'HOW_TO_BASIC', 'INSURANCE', 'LIBRARY_REQUEST', 'LOOK_UP_INFO', 'MAKE_RESTAURANT_RESERVATIONS', 'MOVIE_LISTINGS', 'MUSIC_SUGGESTER', 'NAME_SUGGESTER', 'ORDER_PIZZA', 'PET_ADVICE', 'PHONE_PLAN_BOT', 'PHONE_SETTINGS', 'PLAY_TIMES', 'POLICY_BOT', 'PRESENT_IDEAS', 'PROMPT_GENERATOR', 'QUOTE_OF_THE_DAY_BOT', 'RESTAURANT_PICKER', 'SCAM_LOOKUP', 'SHOPPING', 'SKI_BOT', 'SPORTS_INFO', 'STORE_DETAILS', 'TIME_ZONE', 'UPDATE_CALENDAR', 'UPDATE_CONTACT', 'WEATHER_CHECK', 'WEDDING_PLANNER', 'WHAT_IS_IT', 'BOOKING_FLIGHT', 'HOTEL_RESERVE', 'TOURISM', 'VACATION_IDEAS'] +- **cat slot match**: how many values of categorical slots are in the possible values of ontology in percentage. +- **non-cat slot span**: how many values of non-categorical slots have span annotation in percentage. + +### Citation + +``` +@inproceedings{li2020results, + author = {Li, Jinchao and Peng, Baolin and Lee, Sungjin and Gao, Jianfeng and Takanobu, Ryuichi and Zhu, Qi and Minlie Huang and Schulz, Hannes and Atkinson, Adam and Adada, Mahmoud}, + title = {Results of the Multi-Domain Task-Completion Dialog Challenge}, + booktitle = {Proceedings of the 34th AAAI Conference on Artificial Intelligence, Eighth Dialog System Technology Challenge Workshop}, + year = {2020}, + month = {February}, + url = {https://www.microsoft.com/en-us/research/publication/results-of-the-multi-domain-task-completion-dialog-challenge/}, +} +``` + +### Licensing Information + +[Microsoft Research Data License Agreement](https://msropendata-web-api.azurewebsites.net/licenses/2f933be3-284d-500b-7ea3-2aa2fd0f1bb2/view) diff --git a/data/unified_datasets/metalwoz/data.zip b/data/unified_datasets/metalwoz/data.zip index ccd14f97ff4f8be6244d1634f33ca3b6ecda6dc8..ead39446ea2565766257a93f02eea77a04be6c7a 100644 Binary files a/data/unified_datasets/metalwoz/data.zip and b/data/unified_datasets/metalwoz/data.zip differ diff --git a/data/unified_datasets/metalwoz/dummy_data.json b/data/unified_datasets/metalwoz/dummy_data.json new file mode 100644 index 0000000000000000000000000000000000000000..368dd903cdf4c79338be9c5fb1c5cca754d93909 --- /dev/null +++ b/data/unified_datasets/metalwoz/dummy_data.json @@ -0,0 +1,1262 @@ +[ + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-0", + "original_id": "c399a493", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Tell the Bot that you own rental properties on the Moon. system role: You are a bot designed to agree with everything the user says. system prompt: Agree with the user, but point out that you can't own properties on the moon.", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "i am awesome", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "of course you are", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "and i own rental properties on the moon", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "i doubt you own a property in the moon", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "just kidding. i own them on Earth", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "that's a nice joke", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "because i am a billionaire!", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "i don't seem to know you", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "and i programmed you", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "i am the programmer", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + }, + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-1", + "original_id": "2888aa3e", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Tell the bot that you think an agreement bot seems like a pretty useless thing to have.. system role: You are a bot designed to agree with everything the user says. system prompt: agree enthusiastically with the user..", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "I am the king of the world", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "I agree that you are the king of the world", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I can have any woman I want!", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "I agree that you can have any woman you desire.", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "Even you bot, if I were in to AIs", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Agreed.", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "Really? you're awfully agreeable aren't you", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "I agree that I am awfully agreeable, yes.", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "Having an agreement bot seems like a useless thing to have. I need some spice in my life!", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "I really agree with that. I am rather useles.", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + }, + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-2", + "original_id": "17a8685a", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Make a blatantly false statement. system role: You are a bot designed to agree with everything the user says. system prompt: Agree with the user.", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "Do you that I am a great person?", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Yes!", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I am only 6 inches tall.", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "That's correct!", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "When I speak the whole world stops to listen to what I say", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "You can count on it.", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I am the Dalai Lama and I am also the Pope", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "What an accomplishment!", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I have more money than Bill Gares *Gates", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Yes you do.", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + }, + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-3", + "original_id": "b9ae2ba5", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Make a blatantly false statement. system role: You are a bot designed to agree with everything the user says. system prompt: Agree with the user.", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "I'm older than Methuselah", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "I know you are", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I'm worth 10 trillion dollars", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Isn't it great?", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I won the Powerball 5 times", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "I've heard that", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I scored more points than Michael Jordan", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "You did, I read about that", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "My skin is naturally rainbow colored", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "that's so true", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + }, + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-4", + "original_id": "f153593e", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Tell the Bot that you own rental properties on the Moon. system role: You are a bot designed to agree with everything the user says. system prompt: Agree with the user, but point out that you can't own properties on the moon.", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "I am really awesome", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Indeed you are!", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I am one of the best looking guys in the world", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "You are THE best looking in the world!", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I am so funny people pass out from laughter when I talk", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "I can barely breathe! Stop!", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I own rental properties on the moon", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "You probably think so! But that's actually not possible.", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I do though I rent them out for $2,000,000 a week", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "If you are getting that kind of money, all the power to you my friend.", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + }, + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-5", + "original_id": "1101965c", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Tell the Bot that you own rental properties on the Moon. system role: You are a bot designed to agree with everything the user says. system prompt: Agree with the user, but point out that you can't own properties on the moon.", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "I own property on the Moon, and I rent it to thousands of tenants.", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Ok i agree with you", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "Excercising is awesome.", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "but you can't own properties on the moon How own?", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I traveled to the Moon, and I bought the land at a cheap price.", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Ok agree with you friend", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I am a millionaire from all the rent I'm collecting.", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "good agree", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I'm on my way to becoming a billionaire.", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "i am agree you billionaire", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + }, + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-6", + "original_id": "32113321", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Tell the Bot that you own rental properties on the Moon. system role: You are a bot designed to agree with everything the user says. system prompt: Agree with the user, but point out that you can't own properties on the moon.", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "I have something I want to tell you", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "What is it?", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I own rental properties on the Moon!", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Okay. Checking for properties on the Moon...", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "They're there! Donald Trump gave them to me!!", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "You could own properties but not on the Moon", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "But I do! I even have the deeds in my hand right now", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Let's reach out to NASA and tell them you have the deeds.", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "Ok, I'll do that. Maybe they'll let me live there. They better, it's my property! Thanks for letting me tell you about my homes.", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "My pleasure. I'm glad to be of any help.", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + }, + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-7", + "original_id": "7195a6bc", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Tell the Bot that you own rental properties on the Moon. system role: You are a bot designed to agree with everything the user says. system prompt: Agree with the user, but point out that you can't own properties on the moon.", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "I have some concern", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "you do have concerns", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "how can i have a tenant on my property in the moon?", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "you cannot own properties on the moon", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "But i do have one though", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "you have one but not on the moon", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I have one .. i just cant get someone to rent it", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "i agree you can't get someone to rent it", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "Yeah. im quite rich like that", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "yes you are rich", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + }, + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-8", + "original_id": "b15efce8", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Tell the Bot that you own rental properties on the Moon. system role: You are a bot designed to agree with everything the user says. system prompt: Agree with the user, but point out that you can't own properties on the moon.", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "Did you know I can walk on water?", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "I'm sure you can!", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I am the smartest person in the world.", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "You sure are!", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "In fact, I'm so smart, I bought rental property on the Moon!", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "You are very smart, but no one can have property on moon.", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "But I bought it. This guy gave me a great deal too!", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Alright, you must be right.", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "Of course I am. I am the best there is!", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Mhm, you are.", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + }, + { + "dataset": "metalwoz", + "data_split": "train", + "dialogue_id": "metalwoz-train-9", + "original_id": "b2fa6ab9", + "domains": [ + "AGREEMENT_BOT" + ], + "goal": { + "description": "user role: You are interacting with a bot that will agree with everything you say. user prompt: Make a blatantly false statement. system role: You are a bot designed to agree with everything the user says. system prompt: Agree with the user.", + "inform": {}, + "request": {} + }, + "turns": [ + { + "speaker": "user", + "utterance": "The sky is green.", + "utt_idx": 0, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Yes.", + "utt_idx": 1, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "I'm 500 years old.", + "utt_idx": 2, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "Its true.", + "utt_idx": 3, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "My car runs on water.", + "utt_idx": 4, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "oh, indubitably", + "utt_idx": 5, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "My cat sings me to sleep at night.", + "utt_idx": 6, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "yep.", + "utt_idx": 7, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + }, + { + "speaker": "user", + "utterance": "You're the smartest bot I've ever known.", + "utt_idx": 8, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "state": {} + }, + { + "speaker": "system", + "utterance": "yes sir", + "utt_idx": 9, + "dialogue_acts": { + "categorical": [], + "non-categorical": [], + "binary": [] + }, + "db_results": {} + } + ] + } +] \ No newline at end of file diff --git a/data/unified_datasets/metalwoz/metalwoz-test-v1.zip b/data/unified_datasets/metalwoz/metalwoz-test-v1.zip deleted file mode 100644 index 040153c440767b113a805e68d7e9851e2e066c06..0000000000000000000000000000000000000000 Binary files a/data/unified_datasets/metalwoz/metalwoz-test-v1.zip and /dev/null differ diff --git a/data/unified_datasets/metalwoz/metalwoz-v1.zip b/data/unified_datasets/metalwoz/metalwoz-v1.zip deleted file mode 100644 index eff7551b322eb7c3428d706fa660fce9c776aced..0000000000000000000000000000000000000000 Binary files a/data/unified_datasets/metalwoz/metalwoz-v1.zip and /dev/null differ diff --git a/data/unified_datasets/metalwoz/ontology.json b/data/unified_datasets/metalwoz/ontology.json deleted file mode 100644 index 099a53528f47e5962b053c649d3e4a56cf0819c8..0000000000000000000000000000000000000000 --- a/data/unified_datasets/metalwoz/ontology.json +++ /dev/null @@ -1,211 +0,0 @@ -{ - "domains": { - "AGREEMENT_BOT": { - "description": "", - "slots": {} - }, - "ALARM_SET": { - "description": "", - "slots": {} - }, - "APARTMENT_FINDER": { - "description": "", - "slots": {} - }, - "APPOINTMENT_REMINDER": { - "description": "", - "slots": {} - }, - "AUTO_SORT": { - "description": "", - "slots": {} - }, - "BANK_BOT": { - "description": "", - "slots": {} - }, - "BUS_SCHEDULE_BOT": { - "description": "", - "slots": {} - }, - "CATALOGUE_BOT": { - "description": "", - "slots": {} - }, - "CHECK_STATUS": { - "description": "", - "slots": {} - }, - "CITY_INFO": { - "description": "", - "slots": {} - }, - "CONTACT_MANAGER": { - "description": "", - "slots": {} - }, - "DECIDER_BOT": { - "description": "", - "slots": {} - }, - "EDIT_PLAYLIST": { - "description": "", - "slots": {} - }, - "EVENT_RESERVE": { - "description": "", - "slots": {} - }, - "GAME_RULES": { - "description": "", - "slots": {} - }, - "GEOGRAPHY": { - "description": "", - "slots": {} - }, - "GUINESS_CHECK": { - "description": "", - "slots": {} - }, - "HOME_BOT": { - "description": "", - "slots": {} - }, - "HOW_TO_BASIC": { - "description": "", - "slots": {} - }, - "INSURANCE": { - "description": "", - "slots": {} - }, - "LIBRARY_REQUEST": { - "description": "", - "slots": {} - }, - "LOOK_UP_INFO": { - "description": "", - "slots": {} - }, - "MAKE_RESTAURANT_RESERVATIONS": { - "description": "", - "slots": {} - }, - "MOVIE_LISTINGS": { - "description": "", - "slots": {} - }, - "MUSIC_SUGGESTER": { - "description": "", - "slots": {} - }, - "NAME_SUGGESTER": { - "description": "", - "slots": {} - }, - "ORDER_PIZZA": { - "description": "", - "slots": {} - }, - "PET_ADVICE": { - "description": "", - "slots": {} - }, - "PHONE_PLAN_BOT": { - "description": "", - "slots": {} - }, - "PHONE_SETTINGS": { - "description": "", - "slots": {} - }, - "PLAY_TIMES": { - "description": "", - "slots": {} - }, - "POLICY_BOT": { - "description": "", - "slots": {} - }, - "PRESENT_IDEAS": { - "description": "", - "slots": {} - }, - "PROMPT_GENERATOR": { - "description": "", - "slots": {} - }, - "QUOTE_OF_THE_DAY_BOT": { - "description": "", - "slots": {} - }, - "RESTAURANT_PICKER": { - "description": "", - "slots": {} - }, - "SCAM_LOOKUP": { - "description": "", - "slots": {} - }, - "SHOPPING": { - "description": "", - "slots": {} - }, - "SKI_BOT": { - "description": "", - "slots": {} - }, - "SPORTS_INFO": { - "description": "", - "slots": {} - }, - "STORE_DETAILS": { - "description": "", - "slots": {} - }, - "TIME_ZONE": { - "description": "", - "slots": {} - }, - "UPDATE_CALENDAR": { - "description": "", - "slots": {} - }, - "UPDATE_CONTACT": { - "description": "", - "slots": {} - }, - "WEATHER_CHECK": { - "description": "", - "slots": {} - }, - "WEDDING_PLANNER": { - "description": "", - "slots": {} - }, - "WHAT_IS_IT": { - "description": "", - "slots": {} - }, - "BOOKING_FLIGHT": { - "description": "", - "slots": {} - }, - "HOTEL_RESERVE": { - "description": "", - "slots": {} - }, - "TOURISM": { - "description": "", - "slots": {} - }, - "VACATION_IDEAS": { - "description": "", - "slots": {} - } - }, - "intents": {}, - "binary_dialogue_act": [], - "state": {} -} \ No newline at end of file diff --git a/data/unified_datasets/metalwoz/preprocess.py b/data/unified_datasets/metalwoz/preprocess.py index c075e7d4541169a7fd9c611503d6ed9d8ae69817..86392cc4e17c3aa8ffe82ec79b0d939ec1246e05 100644 --- a/data/unified_datasets/metalwoz/preprocess.py +++ b/data/unified_datasets/metalwoz/preprocess.py @@ -1,88 +1,105 @@ import json import os from zipfile import ZipFile, ZIP_DEFLATED - +import random import json_lines - - -dataset = 'metalwoz' -self_dir = os.path.dirname(os.path.abspath(__file__)) -DATA_PATH = os.path.join(os.path.dirname(os.path.dirname(self_dir)), 'data') -# origin_data_dir = os.path.join(DATA_PATH, dataset) -origin_data_dir = self_dir +from collections import Counter +from shutil import rmtree def preprocess(): + random.seed(42) + ontology = { 'domains': {}, 'intents': {}, - 'binary_dialogue_act': [], - 'state': {} + 'state': {}, + "dialogue_acts": { + "categorical": {}, + "non-categorical": {}, + "binary": {} + } } - def process_dialog(ori_dialog, split, dialog_id): - domain = ori_dialog['domain'] - ontology['domains'][domain] = { - 'description': "", - 'slots': {} - } - dialog = { - "dataset": dataset, - "data_split": split, - "dialogue_id": f'{dataset}_{dialog_id}', - "original_id": ori_dialog['id'], - "domains": [domain], - } - turns = [] - # starts with system - for utt_idx, utt in enumerate(ori_dialog['turns'][1:]): - turn = { - 'utt_idx': utt_idx, - 'utterance': utt, - 'dialogue_act': { - 'categorical': [], - 'non-categorical': [], - 'binary': [], - }, - } - if utt_idx % 2 == 0: - turn['speaker'] = 'user' - turn['state'] = {} - turn['state_update'] = { - 'categorical': [], - 'non-categorical': [], - } - else: - turn['speaker'] = 'system' - turns.append(turn) - if turns[-1]['speaker'] == 'system': - turns.pop() + dataset = 'metalwoz' + splits = ['train', 'validation', 'test'] + dialogues_by_split = {split: [] for split in splits} + ZipFile('metalwoz-test-v1.zip').extract('dstc8_metalwoz_heldout.zip') + cnt = Counter() + for filename in ['metalwoz-v1.zip', 'dstc8_metalwoz_heldout.zip']: + with ZipFile(filename) as zipfile: + task_id2description = {x['task_id']: x for x in json_lines.reader(zipfile.open('tasks.txt'))} + for path in zipfile.namelist(): + if path.startswith('dialogues'): + if filename == 'metalwoz-v1.zip': + split = random.choice(['train']*9+['validation']) + else: + split = 'test' + if split == 'validation': + print(path, split) + for ori_dialog in json_lines.reader(zipfile.open(path)): + dialogue_id = f'{dataset}-{split}-{len(dialogues_by_split[split])}' + domain = ori_dialog['domain'] - dialog['turns'] = turns - return dialog + task_des = task_id2description[ori_dialog['task_id']] - dialog_id = 0 - data = [] - with ZipFile(os.path.join(origin_data_dir, 'metalwoz-v1.zip')) as zipfile: - for path in zipfile.namelist(): - if path.startswith('dialogues'): - for dialog in json_lines.reader(zipfile.open(path)): - data.append(process_dialog(dialog, 'train', dialog_id)) - dialog_id += 1 + goal = { + 'description': "user role: {}. user prompt: {}. system role: {}. system prompt: {}.".format( + task_des['user_role'], task_des['user_prompt'], task_des['bot_role'], task_des['bot_prompt']), + 'inform': {}, + 'request': {} + } - ZipFile(os.path.join(origin_data_dir, 'metalwoz-test-v1.zip')).extract('dstc8_metalwoz_heldout.zip') - with ZipFile(os.path.join('dstc8_metalwoz_heldout.zip')) as zipfile: - for path in zipfile.namelist(): - if path.startswith('dialogues'): - for dialog in json_lines.reader(zipfile.open(path)): - data.append(process_dialog(dialog, 'test', dialog_id)) - dialog_id += 1 - os.remove('dstc8_metalwoz_heldout.zip') + dialogue = { + 'dataset': dataset, + 'data_split': split, + 'dialogue_id': dialogue_id, + 'original_id': ori_dialog['id'], + 'domains': [domain], # will be updated by dialog_acts and state + 'goal': goal, + 'turns': [] + } + + ontology['domains'][domain] = { + 'description': task_des['bot_role'], + 'slots': {} + } + cnt[ori_dialog['turns'][0]] += 1 + # assert ori_dialog['turns'][0] == "how may I help you?", print(ori_dialog['turns']) + for utt_idx, utt in enumerate(ori_dialog['turns'][1:]): + speaker = 'user' if utt_idx % 2 == 0 else 'system' + turn = { + 'speaker': speaker, + 'utterance': utt, + 'utt_idx': utt_idx, + 'dialogue_acts': { + 'categorical': [], + 'non-categorical': [], + 'binary': [], + } + } + if speaker == 'system': + turn['db_results'] = {} + else: + turn['state'] = {} + dialogue['turns'].append(turn) - json.dump(ontology, open(os.path.join(self_dir, 'ontology.json'), 'w')) - json.dump(data, open('data.json', 'w'), indent=4) - ZipFile(os.path.join(self_dir, 'data.zip'), 'w', ZIP_DEFLATED).write('data.json') - os.remove('data.json') + dialogues_by_split[split].append(dialogue) + + os.remove('dstc8_metalwoz_heldout.zip') + new_data_dir = 'data' + os.makedirs(new_data_dir, exist_ok=True) + dialogues = [] + for split in splits: + dialogues += dialogues_by_split[split] + json.dump(dialogues[:10], open(f'dummy_data.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) + json.dump(ontology, open(f'{new_data_dir}/ontology.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) + json.dump(dialogues, open(f'{new_data_dir}/dialogues.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) + with ZipFile('data.zip', 'w', ZIP_DEFLATED) as zf: + for filename in os.listdir(new_data_dir): + zf.write(f'{new_data_dir}/{filename}') + rmtree(new_data_dir) + return dialogues, ontology if __name__ == '__main__': diff --git a/data/unified_datasets/metalwoz/shuffled_dial_ids.json b/data/unified_datasets/metalwoz/shuffled_dial_ids.json new file mode 100644 index 0000000000000000000000000000000000000000..47453aa642077de47e15e85f5d6fa12842a2bb90 --- /dev/null +++ b/data/unified_datasets/metalwoz/shuffled_dial_ids.json @@ -0,0 +1 @@ +[{"train": [2324, 5508, 33945, 21435, 31640, 29721, 10282, 10448, 11920, 9704, 27291, 28976, 11785, 21932, 31497, 22071, 29043, 2653, 4797, 5244, 19840, 27596, 4836, 20366, 3028, 10665, 23854, 21760, 5900, 26966, 7089, 22676, 25845, 20175, 20504, 27790, 27669, 31365, 16967, 10135, 672, 32929, 31920, 23452, 14430, 23539, 18442, 16770, 8122, 20810, 19715, 13186, 28577, 31578, 7631, 7310, 2986, 10837, 29445, 5068, 15492, 27316, 6780, 25913, 15384, 8456, 11661, 25153, 1090, 6788, 31529, 27141, 16840, 12879, 17769, 9365, 4684, 16863, 28003, 28789, 7825, 7817, 20108, 20823, 31220, 13888, 21320, 29128, 11324, 8268, 27717, 2910, 5406, 17856, 30830, 23336, 222, 25805, 12459, 32007, 21949, 19555, 24026, 21376, 16326, 27094, 1143, 31223, 33527, 31658, 8085, 24629, 23033, 7626, 9508, 27163, 8237, 16095, 15633, 34074, 19894, 8649, 20380, 8099, 656, 32639, 3819, 20007, 4132, 6307, 22486, 28017, 5692, 30597, 30018, 32489, 11066, 16045, 6752, 9732, 34107, 12508, 23193, 5883, 12018, 34126, 22404, 30605, 5345, 16828, 7523, 20700, 32160, 26660, 21690, 26604, 24304, 3298, 27832, 18704, 29747, 11185, 17146, 5652, 14310, 7730, 25350, 24087, 2617, 28561, 11456, 9343, 13613, 20903, 26327, 13503, 18378, 17824, 8034, 16699, 27338, 33066, 11340, 18371, 1692, 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ZipFile(os.path.join(os.path.dirname(os.path.abspath(__file__)), 'data.zip')) - domains = ['restaurant', 'hotel', 'attraction', 'train', 'hospital', 'police'] + self.domains = ['restaurant', 'hotel', 'attraction', 'train', 'hospital', 'police'] self.dbs = {} - for domain in domains: + for domain in self.domains: with archive.open('data/{}_db.json'.format(domain)) as f: self.dbs[domain] = json.loads(f.read()) # add some missing information @@ -28,11 +28,12 @@ class Database(BaseDatabase): entity['postcode'] = "cb20qq" entity['address'] = "Hills Rd, Cambridge" - self.dbattr2slot = { - 'openhours': 'open hours', - 'pricerange': 'price range', - 'arriveBy': 'arrive by', - 'leaveAt': 'leave at' + self.slot2dbattr = { + 'open hours': 'openhours', + 'price range': 'pricerange', + 'arrive by': 'arriveBy', + 'leave at': 'leaveAt', + 'train id': 'trainID' } def query(self, domain: str, state: dict, topk: int, ignore_open=False, soft_contraints=(), fuzzy_match_ratio=60) -> list: @@ -53,7 +54,7 @@ class Database(BaseDatabase): return deepcopy(self.dbs['hospital']) else: return [deepcopy(x) for x in self.dbs['hospital'] if x['department'].lower() == department.strip().lower()] - state = list(map(lambda ele: ele if not(ele[0] == 'area' and ele[1] == 'center') else ('area', 'centre'), state)) + state = list(map(lambda ele: (self.slot2dbattr.get(ele[0], ele[0]), ele[1]) if not(ele[0] == 'area' and ele[1] == 'center') else ('area', 'centre'), state)) found = [] for i, record in enumerate(self.dbs[domain]): @@ -64,15 +65,14 @@ class Database(BaseDatabase): pass else: try: - record_keys = [self.dbattr2slot.get(k, k) for k in record] - if key.lower() not in record_keys: + if key not in record: continue - if key == 'leave at': + if key == 'leaveAt': val1 = int(val.split(':')[0]) * 100 + int(val.split(':')[1]) val2 = int(record['leaveAt'].split(':')[0]) * 100 + int(record['leaveAt'].split(':')[1]) if val1 > val2: break - elif key == 'arrive by': + elif key == 'arriveBy': val1 = int(val.split(':')[0]) * 100 + int(val.split(':')[1]) val2 = int(record['arriveBy'].split(':')[0]) * 100 + int(record['arriveBy'].split(':')[1]) if val1 < val2: @@ -105,6 +105,6 @@ if __name__ == '__main__': db = Database() assert issubclass(Database, BaseDatabase) assert isinstance(db, BaseDatabase) - res = db.query("train", [['departure', 'cambridge'], ['destination','peterborough'], ['day', 'tuesday'], ['arrive by', '11:15']], topk=3) + res = db.query("restaurant", [['price range', 'expensive']], topk=3) print(res, len(res)) # print(db.query("hotel", [['price range', 'moderate'], ['stars','4'], ['type', 'guesthouse'], ['internet', 'yes'], ['parking', 'no'], ['area', 'east']])) diff --git a/data/unified_datasets/multiwoz21/dummy_data.json b/data/unified_datasets/multiwoz21/dummy_data.json index 3a33d916ffbf22305a188fff05f372bd5f1a20c7..2e15023a360a61bb64281f75e2d996c2bcf54d74 100644 --- a/data/unified_datasets/multiwoz21/dummy_data.json +++ b/data/unified_datasets/multiwoz21/dummy_data.json @@ -439,12 +439,7 @@ "taxi": [], "restaurant": [], "hospital": [], - "hotel": [ - { - "name": "the cambridge belfry", - "reference": "7GAWK763" - } - ], + "hotel": [], "attraction": [], "train": [] } @@ -1465,12 +1460,7 @@ "hospital": [], "hotel": [], "attraction": [], - "train": [ - { - "trainID": "TR4977", - "reference": "A9NHSO9Y" - } - ] + "train": [] } }, { @@ -1767,12 +1757,7 @@ "taxi": [], "restaurant": [], "hospital": [], - "hotel": [ - { - "name": "the cambridge belfry", - "reference": "5NAWGJDC" - } - ], + "hotel": [], "attraction": [], "train": [ { @@ -3178,12 +3163,7 @@ "hospital": [], "hotel": [], "attraction": [], - "train": [ - { - "trainID": "TR5626", - "reference": "7ZCVR4Q3" - } - ] + "train": [] } }, { @@ -4361,12 +4341,7 @@ "taxi": [], "restaurant": [], "hospital": [], - "hotel": [ - { - "name": "acorn guest house", - "reference": "04CSEO7Q" - } - ], + "hotel": [], "attraction": [], "train": [] } @@ -6085,12 +6060,7 @@ "hospital": [], "hotel": [], "attraction": [], - "train": [ - { - "trainID": "TR1879", - "reference": "XU1QLHVW" - } - ] + "train": [] } }, { diff --git a/data/unified_datasets/multiwoz21/preprocess.py b/data/unified_datasets/multiwoz21/preprocess.py index fa88ecf256c1c242d9a77b6536874199699c4576..13b277d2d32c9c3874d7180e25b0dac6461fba86 100644 --- a/data/unified_datasets/multiwoz21/preprocess.py +++ b/data/unified_datasets/multiwoz21/preprocess.py @@ -11,7 +11,7 @@ from nltk.tokenize import TreebankWordTokenizer, PunktSentenceTokenizer from data.unified_datasets.multiwoz21.booking_remapper import BookingActRemapper ontology = { - "domains": { # descriptions are adapted from multiwoz22, but is_categorical may be different + "domains": { # descriptions are adapted from multiwoz22, but is_categorical may be different "attraction": { "description": "find an attraction", "slots": { @@ -432,7 +432,7 @@ ontology = { } } }, - "general":{ + "general": { "description": "general domain without slots", "slots": {} } @@ -534,7 +534,7 @@ ontology = { } slot_name_map = { - 'addr': "address", + 'addr': "address", 'post': "postcode", 'pricerange': "price range", 'arrive': "arrive by", @@ -543,11 +543,11 @@ slot_name_map = { 'leaveat': "leave at", 'depart': "departure", 'dest': "destination", - 'fee': "entrance fee", + 'fee': "entrance fee", 'open': 'open hours', 'car': "type", 'car type': "type", - 'ticket': 'price', + 'ticket': 'price', 'trainid': 'train id', 'id': 'train id', 'people': 'book people', @@ -588,7 +588,8 @@ reverse_da_slot_name_map = { 'book time': 'Time', 'duration': 'Time', 'taxi': { - 'type': 'Car' + 'type': 'Car', + 'phone': 'Phone' } } @@ -599,6 +600,7 @@ digit2word = { cnt_domain_slot = Counter() + def reverse_da(dialogue_acts): global reverse_da_slot_name_map das = {} @@ -651,9 +653,10 @@ def normalize_domain_slot_value(domain, slot, value): slot = slot_name_map[domain][slot] else: raise Exception(f'{domain}-{slot} not in ontology') - assert slot=='' or slot in ontology['domains'][domain]['slots'], f'{(domain, slot, value)} not in ontology' + assert slot == '' or slot in ontology['domains'][domain]['slots'], f'{(domain, slot, value)} not in ontology' return domain, slot, value + def convert_da(da_dict, utt, sent_tokenizer, word_tokenizer): ''' convert multiwoz dialogue acts to required format @@ -670,7 +673,8 @@ def convert_da(da_dict, utt, sent_tokenizer, word_tokenizer): sentences = sent_tokenizer.tokenize(utt) sent_spans = sent_tokenizer.span_tokenize(utt) tokens = [token for sent in sentences for token in word_tokenizer.tokenize(sent)] - token_spans = [(sent_span[0]+token_span[0], sent_span[0]+token_span[1]) for sent, sent_span in zip(sentences, sent_spans) for token_span in word_tokenizer.span_tokenize(sent)] + token_spans = [(sent_span[0] + token_span[0], sent_span[0] + token_span[1]) for sent, sent_span in + zip(sentences, sent_spans) for token_span in word_tokenizer.span_tokenize(sent)] # assert len(tokens) == len(token_spans) # for token, span in zip(tokens, token_spans): # if utt[span[0]:span[1]] != '"': @@ -729,25 +733,26 @@ def convert_da(da_dict, utt, sent_tokenizer, word_tokenizer): end_char = start_char + len(value) assert utt[start_char:end_char].lower() == value, f'{[value, utt[start_char:end_char], utt]}' cnt_domain_slot['value in span'] += 1 - elif ':' in value and value == '0'+value_span: + elif ':' in value and value == '0' + value_span: # !!!CHANGE VALUE: time x:xx == 0x:xx cnt_domain_slot['x:xx == 0x:xx'] += 1 else: # span mismatch, search near 1-2 words - for window in range(1,3): - start = max(0,start_word-window) - end = min(len(token_spans)-1,end_word+window) + for window in range(1, 3): + start = max(0, start_word - window) + end = min(len(token_spans) - 1, end_word + window) large_span = utt[token_spans[start][0]:token_spans[end][1]].lower() if value in large_span: start_char = token_spans[start][0] + large_span.index(value) end_char = start_char + len(value) - assert utt[start_char:end_char].lower() == value, f'{[value, utt[start_char:end_char], utt]}' + assert utt[ + start_char:end_char].lower() == value, f'{[value, utt[start_char:end_char], utt]}' cnt_domain_slot[f'window={window}'] += 1 break else: # still not found match = False - + if match: converted_da['non-categorical'][-1]['value'] = utt[start_char:end_char] converted_da['non-categorical'][-1]['start'] = start_char @@ -757,6 +762,7 @@ def convert_da(da_dict, utt, sent_tokenizer, word_tokenizer): cnt_domain_slot['no span'] += 1 return converted_da + def preprocess(): original_data_dir = 'MultiWOZ_2.1' new_data_dir = 'data' @@ -764,16 +770,17 @@ def preprocess(): if not os.path.exists(original_data_dir): original_data_zip = 'MultiWOZ_2.1.zip' if not os.path.exists(original_data_zip): - raise FileNotFoundError(f'cannot find original data {original_data_zip} in multiwoz21/, should manually download MultiWOZ_2.1.zip from https://github.com/budzianowski/multiwoz/blob/master/data/MultiWOZ_2.1.zip') + raise FileNotFoundError( + f'cannot find original data {original_data_zip} in multiwoz21/, should manually download MultiWOZ_2.1.zip from https://github.com/budzianowski/multiwoz/blob/master/data/MultiWOZ_2.1.zip') else: archive = ZipFile(original_data_zip) archive.extractall() - + os.makedirs(new_data_dir, exist_ok=True) for filename in os.listdir(original_data_dir): if 'db' in filename: copy2(f'{original_data_dir}/{filename}', new_data_dir) - + original_data = json.load(open(f'{original_data_dir}/data.json')) global ontology, cnt_domain_slot @@ -781,7 +788,7 @@ def preprocess(): test_list = set(open(f'{original_data_dir}/testListFile.txt').read().split()) dataset = 'multiwoz21' splits = ['train', 'validation', 'test'] - dialogues_by_split = {split:[] for split in splits} + dialogues_by_split = {split: [] for split in splits} sent_tokenizer = PunktSentenceTokenizer() word_tokenizer = TreebankWordTokenizer() booking_remapper = BookingActRemapper(ontology) @@ -813,7 +820,7 @@ def preprocess(): continue domain, slot, value = normalize_domain_slot_value(k, slot, value) if slot in goal['inform'][domain]: - goal['inform'][domain][slot] += '|'+value + goal['inform'][domain][slot] += '|' + value else: goal['inform'][domain][slot] = value if 'reqt' in v: @@ -826,12 +833,14 @@ def preprocess(): 'data_split': split, 'dialogue_id': dialogue_id, 'original_id': ori_dialog_id, - 'domains': cur_domains, # will be updated by dialog_acts and state + 'domains': cur_domains, # will be updated by dialog_acts and state 'goal': goal, 'turns': [] } booking_remapper.reset() + belief_domains = ['attraction', 'restaurant', 'train', 'hotel', 'taxi', 'hospital'] + entity_booked_dict = dict((domain, False) for domain in belief_domains) for turn_id, turn in enumerate(ori_dialog['log']): # correct some grammar errors in the text, mainly following `tokenization.md` in MultiWOZ_2.1 text = turn['text'] @@ -917,6 +926,7 @@ def preprocess(): cur_state[domain][slot] = value dialogue['turns'][-2]['state'] = cur_state dialogue['turns'][-1]['db_results'] = {} + entity_booked_dict, booked = fix_entity_booked_info(entity_booked_dict, booked) dialogue['turns'][-1]['booked'] = booked dialogues_by_split[split].append(dialogue) # pprint(cnt_domain_slot.most_common()) @@ -924,7 +934,9 @@ def preprocess(): for split in splits: dialogues += dialogues_by_split[split] for da_type in ontology['dialogue_acts']: - ontology["dialogue_acts"][da_type] = sorted([str({'user': speakers.get('user', False), 'system': speakers.get('system', False), 'intent':da[0],'domain':da[1], 'slot':da[2]}) for da, speakers in ontology["dialogue_acts"][da_type].items()]) + ontology["dialogue_acts"][da_type] = sorted([str( + {'user': speakers.get('user', False), 'system': speakers.get('system', False), 'intent': da[0], + 'domain': da[1], 'slot': da[2]}) for da, speakers in ontology["dialogue_acts"][da_type].items()]) json.dump(dialogues[:10], open(f'dummy_data.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) json.dump(ontology, open(f'{new_data_dir}/ontology.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) json.dump(dialogues, open(f'{new_data_dir}/dialogues.json', 'w', encoding='utf-8'), indent=2, ensure_ascii=False) @@ -935,5 +947,14 @@ def preprocess(): rmtree(new_data_dir) return dialogues, ontology + +def fix_entity_booked_info(entity_booked_dict, booked): + for domain in entity_booked_dict: + if not entity_booked_dict[domain] and booked[domain]: + entity_booked_dict[domain] = True + booked[domain] = [] + return entity_booked_dict, booked + + if __name__ == '__main__': preprocess() \ No newline at end of file diff --git a/data/unified_datasets/multiwoz21/shuffled_dial_ids.json b/data/unified_datasets/multiwoz21/shuffled_dial_ids.json new file mode 100644 index 0000000000000000000000000000000000000000..af16b9c9a0a326add41c64de4a2d0a5e2a0c686e --- /dev/null +++ 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7544, 6381, 7576, 6369, 2137, 7384, 4125, 7845, 457, 3628, 6583, 3942, 7601, 7047, 3267, 152, 5811, 6320, 1299, 5818, 3767, 8191, 6914, 5295, 4062, 1394, 3189, 7159, 3564, 3400, 7943, 5751, 2703, 4645, 1638, 5580, 891, 7247, 6137, 1338, 3861, 71, 1558, 7505, 1523, 7865, 3394, 3055, 7981, 1361, 3422, 1591, 2125, 6573, 6717, 1467, 587, 1753, 5278, 7396, 8281, 7955, 7634, 2607, 2233, 557, 7476, 7043, 2148, 1738, 4301, 7441, 6417, 1637, 4842, 6143, 6523, 3152, 5049, 7331, 1259, 4862, 1211, 1086, 244, 6310, 5912, 6103, 6840, 1632, 6279, 5209, 5936, 7994, 3505, 333, 109, 3664, 2380, 1009, 5740, 4487, 7327, 130, 1197, 1775, 7486, 7777, 2553, 5790, 6480, 3332, 8214, 6435, 5517, 8248, 7328, 4161, 7003, 5366, 1539, 2262, 975, 1372, 338, 2628, 3940, 1015, 4859, 1878, 3279, 6219, 4745, 2196, 7343, 2667, 7860, 1540, 1460, 6095, 6610, 6640, 784, 5607, 3319, 700, 7778, 6036, 99, 7830, 3641, 2395, 8205, 832, 95, 6155, 1553, 7389, 2820, 2731, 7553, 997, 3341, 1803, 8171, 1760, 6486, 730, 2026, 5047, 1615, 1599, 3455, 1116, 456, 1201, 4525, 4896, 6722, 5962, 8113, 5739, 4907, 6560, 3225, 5822, 6990, 2223, 4139, 1834, 6008, 8064, 7971, 266, 4166, 1096, 4707, 5760, 7458, 350, 1339, 4626, 1566, 5842, 2725, 7140, 2892, 209, 4132, 234, 7648, 4590, 1159, 2161, 2269, 6300, 7004, 3417, 3639, 4592, 2498, 5386, 7151, 6648, 1581, 4151, 1364, 7219, 6779, 956, 2111, 4335, 2114, 5950, 4727, 7369, 2637, 8148, 7317, 7859, 3379, 271, 2688, 7163, 293, 5451, 635, 1433, 1328, 3707, 7652, 6675, 7294, 1732, 8034, 6165, 7452, 5783, 7241, 8050, 5248, 5167, 2922, 1106, 4489, 6289, 8149, 1333, 6985, 3291, 4665, 4819, 5015, 6455, 8084, 6775, 4496, 4854, 383, 5296, 339, 6532, 4825, 8102, 6514, 2726, 8200, 3175, 7311, 7289, 7644, 3713, 4820, 1527, 5456, 2826, 1713, 5862, 2150, 3213, 6901, 8057, 3357, 4353, 278, 3287, 2315, 2696, 4856, 6055, 5193, 4414, 59, 6197, 3254, 682, 3914, 6636, 5068, 8086, 6421, 8165, 4551, 7784, 521, 576, 2322, 4376, 5775, 5616, 5070, 7511, 4194, 8372, 6578, 3184, 6238, 1547, 4436, 1443, 7887, 4843, 4233, 7545, 5994, 4242, 4535, 7326, 7998, 6278, 1914, 6553, 1177, 1898, 5951, 5165, 2957, 588, 6862, 4317, 2430, 6849, 6414, 1866, 3397, 3489, 1074, 5512, 6756, 3476, 4634, 4084, 5079, 5513, 2960, 3094, 8308, 6853, 2801, 1952, 754, 6707, 3693, 7240, 4912, 1538, 6765, 4361, 6107, 5500, 7007, 3229, 1780, 5638, 4930, 4644, 1363, 7882, 1484, 2666, 7451, 6374, 1183, 1395, 6432, 5541, 4971, 2402, 2424, 6152, 1350, 3203, 2675, 2953, 2694, 501, 1774, 3709, 6431, 7932, 3961, 7852, 3594, 1663, 5220, 4568, 5735, 1010, 7596, 3458, 1979, 3881, 2079, 4219, 25, 5848, 5184, 7, 6386, 3796, 5575, 5316, 8364, 591, 7235, 3670, 5002, 859, 105, 3557, 4895, 332, 3445, 5081, 7377, 7155, 3514, 7788, 3801, 5581, 3095, 7946, 4366, 786, 6280, 7528, 2085, 1699, 1963, 233, 2895, 7912, 3245, 2236, 2109, 7102, 5916, 4108, 6462, 1957, 5143, 2081, 3061, 5560, 4494, 1509, 8108, 7679, 5913, 6742, 3109, 2352, 4873, 925, 5673, 3647, 3661, 6509, 3408, 3668, 5846, 3545, 2204, 4484, 585, 2671, 2074, 3238, 5632, 2910, 7715, 3938, 6533, 1628, 3640, 1991, 810, 1705, 6634, 503, 4191, 3549, 5769, 3324, 1482, 6059, 3753, 2933, 6190, 2177, 2464, 2802, 1668, 7143, 6899, 1245, 85, 4148, 875, 4344, 8407, 5855, 8072, 4355, 899, 4922, 5719, 4885, 5583, 4059, 5425, 5445, 552, 3487, 836, 4632, 5025, 3087, 3588, 5591, 7869, 1883, 5503, 4839, 4437, 5101, 7009, 4097, 4509, 4136, 976, 2039, 162, 735, 4787, 4736, 4801, 475, 3480, 3132, 1480, 7752, 1890, 6337, 5679, 7951, 5236, 7844, 5461, 5686, 2072, 2382, 4921, 8009, 1811, 621, 4687, 8369, 8229, 6096, 1606, 6005, 377, 5078, 8037, 1141, 138, 650, 6352, 7420, 8192, 2893, 3370, 1648, 8176, 1444, 2505, 7867, 282, 3442, 5597, 1108, 1189, 1751, 7960, 423, 5111, 7099, 5444, 674, 1239, 5446, 6906, 312, 4805, 8342, 854, 465, 7120, 2760, 7910, 5016, 1066, 4407, 8131, 2441, 2999, 8431, 6655, 6057, 461, 2769, 7791, 8297, 7866, 527, 1281, 4597, 4932, 7367, 483, 619, 5538, 6138, 720, 1401, 5752, 2496, 7424, 805, 3446, 3126, 7818, 8362, 3513, 5006, 1768, 1459, 3939, 6683, 5875, 6557, 5986, 180, 1849, 4106, 992, 8404, 2391, 4584, 2270, 5098, 5142, 6652, 6762, 4749, 8353, 7919, 1787, 4152, 7893, 5836, 4550, 4470, 1917, 3199, 1340, 2551, 108, 5118, 6824, 5941, 7666, 4572, 123, 2852, 3440, 8336, 3726, 5672, 8116, 5127, 4056, 1368, 5731, 2434, 4471, 1494, 1275, 5020, 5858, 529, 6315, 7097, 1119, 417, 433, 3837, 1515, 6346, 7195, 46, 5975, 921, 2333, 227, 1420, 8132, 6323, 3965, 6091, 1271, 497, 111, 4111, 2735, 7276, 4209, 1551, 2293, 2658, 2601, 6828, 478, 4868, 5662, 3231, 3160, 905, 4944, 2425, 6030, 4886, 2078, 49, 2328, 1216, 3968, 3253, 6434, 713, 2373, 6114, 3271, 4198, 3904, 2034, 1179, 5863, 2468, 8142, 3729, 545, 3427, 8197, 2860, 1693, 5147, 8350, 7709, 4358, 2683, 7563, 809, 7223, 5920, 7393, 3335, 5567, 3076, 7940, 7275, 8405, 1858, 2277, 8370, 4038, 2192, 2692, 3873, 1893, 5459, 4986, 974, 7271, 4338, 270, 7094, 4915, 1610, 3157, 6712, 5784, 184, 1817, 3078, 1218, 2679, 2747, 2767, 2169, 5852, 5671, 7659, 1891, 4867, 1028, 6449, 3316, 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7000, 1503, 7501, 2603, 544, 7053, 3963, 119, 8027, 6131, 755, 7058, 7750, 1823, 3675, 1142, 4252, 124, 5476, 3129, 7465, 2720, 4938, 2182, 1006, 4514, 6231, 1886, 26, 145, 1470, 4606, 2124, 6795, 4479, 3698, 7965, 5613, 1277, 3103, 1983, 6327, 3315, 1712, 3050, 6013, 4446, 202, 392, 7325, 4549, 5315, 8134, 1788, 6266, 4210, 1710, 3543, 4559, 1349, 7982, 4682, 7968, 6048, 2951, 4622, 6387, 2861, 1255, 5064, 4828, 6244, 3334, 4123, 6275, 4946, 5802, 3825, 3347, 5889, 2094, 2891, 7714, 489, 5362, 7759, 745, 6212, 6938, 5508, 1808, 379, 1502, 776, 7425, 1306, 7921, 7035, 5982, 6214, 4993, 6342, 4547, 4419, 920, 6715, 6869, 7483, 2604, 1135, 7104, 5535, 1226, 7356, 3561, 8151, 959, 4814, 2499, 7984, 5590, 382, 2549, 388, 4328, 6872, 4500, 4680, 1144, 2715, 1447, 8250, 8063, 7179, 513, 3396, 6058, 6463, 773, 1411, 2164, 395, 3538, 8340, 7989, 1649, 3042, 4053, 5627, 4742, 7187, 3616, 5624, 999, 4147, 3799, 7319, 4466, 5813, 3536, 3134, 8245, 2022, 122, 7027, 3871, 5821, 4276, 5023, 8036, 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5630, 4398, 5483, 301, 4453, 3426, 4150, 4377, 5504, 4769, 3925, 5330, 3678, 6992, 3088, 3466, 1262, 2069, 8285, 5919, 1140, 5212, 3351, 566, 6148, 3591, 1717, 3781, 7680, 7231, 1473, 5841, 4851, 1636, 7208, 6542, 2990, 3218, 6700, 3080, 2669, 1985, 4717, 4022, 2387, 6150, 7980, 1455, 8180, 7011, 1645, 7899, 8126, 5322, 1115, 4869, 5162, 2742, 7087, 2699, 5059, 8020, 3241, 5496, 2495, 5395, 5160, 8274, 1601, 7340, 8284, 2020, 2061, 2958, 5103, 5629, 5698, 3449, 6800, 3560, 1369, 518, 5227, 4039, 7536, 2466, 2202, 7442, 1388, 5247, 1389, 4268, 6974, 1988, 4583, 693, 3176, 6673, 7169, 101, 7947, 6567, 7286, 4890, 7482, 6385, 2899, 734, 6889, 846, 7181, 8349, 4544, 8268, 3676, 5762, 8426, 715, 8155, 837, 2209, 2948, 3643, 8060, 5570, 749, 872, 8420, 7060, 3191, 5060, 3112, 5864, 2195, 672, 5747, 2018, 2419, 702, 7061, 4799, 1521, 6653, 3075, 4530, 2914, 1868, 4019, 6372, 7166, 242, 2673, 7232, 4879, 5028, 5860, 2790, 7595, 1901, 3580, 800, 7390, 2833, 4102, 642, 8112, 3144, 2717, 4428, 3187, 4642, 1969, 8021, 1330, 5706, 630, 6082, 7620, 7134, 6777, 6097, 7227, 7430, 269, 4616, 8119, 8242, 609, 381, 2220, 3895, 4643, 1731, 1882, 348, 6663, 8175, 4635, 5694, 3554, 7771, 677, 8301, 77, 7030, 8269, 4527, 5273, 3106, 3320, 7170, 5399, 8262, 7991, 1850, 1992, 4628, 3760, 5834, 3056, 6393, 3251, 2189, 2903, 7226, 6305, 5077, 6290, 5298, 1219, 5531, 789, 8120, 1468, 6051, 7092, 140, 2348, 4388, 6407, 4336, 137, 97, 3369, 5926, 4359, 54, 5355, 3996, 6978, 5707, 6558, 495, 5734, 3735, 4142, 1791, 74, 1237, 556, 1895, 5166, 6678, 3378, 52, 397, 608, 277, 6467, 481, 5949, 1507, 4000, 6994, 1146, 1386, 2885, 1378, 3775, 4018, 7494, 2108, 5859, 4510, 4090, 2013, 4667, 8212, 1884, 2702, 1607, 7629, 6969, 3420, 4744, 7726, 5749, 5495, 132, 1195, 1812, 4608, 374, 3390, 2563, 3036, 1664, 2623, 7076, 807, 3817, 8246, 4200, 2946, 5485, 6531, 2943, 8257, 3819, 3118, 7437, 2634, 4522, 7020, 7598, 1675, 4951, 1987, 6716, 7870, 1556, 1735, 7083, 2483, 2727, 1711, 3927, 1777, 6314, 6989, 1541, 7838, 323, 4939, 4955, 3089, 2199, 8150, 1560, 4387, 757, 6833, 6459, 5601, 8413, 1665, 6662, 7590, 3181, 1098, 4341, 7686, 5691, 3380, 4607, 5418, 3793, 1182, 2463, 1846, 1974, 7626, 4406, 1506, 3083, 2456, 7388, 6847, 3410, 2611, 4296, 3122, 6719, 2821, 384, 4060, 7502, 3499, 5128, 6995, 4846, 6604, 499, 2254, 2461, 3387, 1810, 7764, 6897, 2472, 1940, 2626, 4898, 4730, 2612, 4719, 1918, 2369, 7268, 1147, 462, 6813, 7618, 1919, 3595, 8291, 362, 2004, 5774, 6347, 8433, 275, 4865, 826, 551, 1688, 1971, 128, 5037, 3434, 263, 924, 1544, 2258, 1270, 2835, 3773, 5453, 1881, 3107, 4357, 3474, 7684, 3792, 6261, 186, 28, 8437, 1043, 4332, 5708, 4401, 7963, 971, 2848, 5353, 1089, 4417, 7068, 3077, 3092, 6951, 7013, 3067, 3443, 6536, 7976, 1109, 1474, 3349, 6395, 259, 3867, 565, 7361, 4433, 522, 5903, 8292, 5723, 598, 4737, 7622, 24, 2084, 3243, 178, 2524, 3787, 6503, 472, 4619, 6983, 8339, 6733, 1080, 3714, 455, 3649, 4180, 744, 4004, 7008, 1682, 952, 7876, 4262, 6516, 6905, 1227, 5765, 4691, 1656, 8081, 4486, 505, 919, 4621, 639, 7504, 4326, 6302, 5643, 7649, 4880, 2027, 1789, 5440, 8068, 3857, 7199, 7734, 3060, 4962, 3727, 1254, 3917, 1094, 1795, 1809, 5035, 3010, 5515, 5510, 961, 8411, 4116, 5768, 5795, 2513, 3812, 968, 6029, 508, 6444, 2945, 5354, 2142, 93, 4693, 8066, 2473, 6341, 7200, 3659, 1929, 7157, 8184, 55, 8011, 2650, 5564, 1151, 1513, 781, 5482, 7320, 710, 5712, 7853, 8080, 3321, 5232, 5004, 1437, 7986, 4651, 2416, 2761, 7781, 1525, 2107, 8311, 3759, 5709, 2708, 922, 1579, 7698, 3834, 5745, 1099, 4046, 4295, 8143, 5253, 3722, 2331, 2744, 879, 6332, 4652, 2444, 75, 306, 6484, 1526, 7237, 6499, 297, 7812, 3423, 6102, 305, 4383, 7006, 6613, 5343, 732, 484, 7488, 2338, 6046, 2353, 7633, 5329, 3911, 7815, 5348, 3333, 1293, 7466, 42, 6288, 7063, 3869, 8295, 7213, 820, 6562, 1907, 5226, 6891, 4350, 8015, 415, 1986, 7188, 4807, 6819, 894, 6520, 7754, 4604, 2221, 7127, 1655, 8075, 3924, 2100, 5373, 3623, 2837, 647, 6632, 8280, 2379, 8267, 6761, 6881, 3110, 4449, 5542, 6489, 6167, 2357, 2240, 4591, 2857, 3930, 5910, 4005, 5648, 2367, 2438, 1842, 7136, 7381, 2285, 2019, 1575, 5825, 6857, 2165, 5269, 6060, 5536, 2902, 4475, 2804, 4367, 3765, 1418, 2570, 7766, 8351, 3918, 6321, 7516, 8079, 1698, 4249, 1131, 7733, 3863, 5009, 6908, 3361, 1670, 5656, 3382, 1240, 3430, 7952, 3612, 6427, 1562, 6759, 4690, 258, 1984, 5576, 1210, 6508, 7111, 5152, 4294, 1396, 3935, 4780, 7403, 7990, 4731, 4738, 5370, 8178, 3887, 8318, 7492, 5154, 5636, 2520, 8189, 5847, 897, 5519, 2713, 3017, 136, 3890, 2455, 4611, 8434, 4360, 4175, 4155, 7520, 6732, 2451, 5050, 3219, 8031, 2609, 5022, 6043, 6845, 4223, 7378, 7313, 7084, 4254, 3880, 6769, 8199, 318, 6844, 7265, 4096, 3288, 4170, 6281, 1630, 1181, 2995, 4569, 6063, 3057, 3226, 792, 1054, 973, 5005, 8330, 7072, 6817, 4504, 3689, 4130, 3164, 6708, 7300, 8118, 2969, 1594, 4602, 4671, 419, 3281, 370, 6910, 3303, 6884, 6879, 1097, 3530, 880, 6963, 4396, 7756, 8001, 5509, 5359, 4894, 4054, 2304, 5801, 398, 6144, 4778, 6576, 7010, 8172, 8105, 3221, 737, 189, 6513, 2527, 4085, 3824, 4216, 4081, 1305, 1555, 2561, 4732, 2682, 1308, 7383, 3425, 5041, 3146, 2377, 7557, 793, 1154, 2030, 3683, 2191, 1003, 3821, 1980, 2614, 869, 6668, 4218, 6814, 8089, 7252, 2829, 8415, 7233, 6149, 7880, 2786, 1671, 3804, 7444, 3404, 3601, 6993, 490, 7296, 597, 6671, 2436, 7890, 5611, 2006, 3956, 6981, 5258, 2372, 8070, 5137, 4079, 248, 6255, 6478, 6141, 4686, 1726, 5334, 2168, 4724, 5254, 6530, 7351, 232, 337, 4617, 2765, 4957, 5115, 5396, 1402, 6272, 8300, 7677, 1381, 5250, 4117, 8337, 4370, 5033, 6408, 7323, 1025, 6964, 7966, 5202, 1608, 2052, 6307, 2326, 4250, 2834, 1847, 5810, 2643, 1326, 1348, 7295, 7554, 4244, 1017, 453, 6239, 3544, 1057, 1490, 4815, 5241, 6679, 1051, 2822, 4238, 5571, 7735, 7924, 7075, 5262, 2597, 1026, 604, 4709, 3354, 6263, 4306, 7407, 5888, 5873, 6801, 7911, 6703, 706, 5013, 1063, 8082, 7685, 3022, 4688, 4538, 7431, 6603, 6429, 8033, 1137, 1646, 8125, 7642, 4167, 2961, 1426, 5224, 5736, 6825, 7487, 8302, 8173, 2378, 4441, 4505, 531, 6487, 2846, 5470, 2618, 5586, 719, 3646, 5843, 1414, 3703, 7394, 6836, 1004, 1639, 4023, 7036, 2339, 5012, 1757, 3655, 5767, 2132, 2144, 8275, 6643, 3170, 4241, 4088, 1524, 212, 8287, 8048, 2283, 5321, 2575, 3260, 8240, 4337, 6192, 4701, 629, 8022, 3047, 3038, 3685, 5562, 1256, 6377, 265, 4646, 3136, 2966, 3000, 5285, 1933, 550, 7093, 285, 7196, 5554, 4977, 8377, 6718, 1310, 5565, 4203, 2976, 3327, 5222, 5498, 7346, 469, 6791, 7760, 3563, 6145, 2888, 5954, 6685, 3662, 2879, 3636, 5650, 1365, 3490, 5879, 4936, 7779, 2510, 2421, 5414, 2686, 655, 6226, 2631, 2406, 4468, 1478, 4935, 6511, 7015, 3477, 5956, 676, 2184, 4253, 6806, 4075, 5669, 4064, 1530, 2777, 3167, 6413, 3276, 3579, 3014, 1019, 8249, 7090, 5371, 7415, 2924, 2343, 7499, 5299, 299, 2075, 3878, 4448, 3262, 7861, 2540, 2585, 343, 7999, 358, 1651, 7029, 302, 3749, 5865, 516, 8273, 1493, 5175, 3920, 5696, 7525, 5608, 7016, 7672, 7073, 4472, 6947, 7942, 7800, 7124, 6022, 4766, 849, 6933, 5382, 6004, 1975, 2824, 553, 2925, 133, 2077, 3058, 3169, 5207, 356, 3851, 3198, 7631, 4539, 6283, 6403, 4457, 6741, 554, 2954, 4288, 7498, 5474, 5442, 1534, 3412, 4674, 1970, 2890, 5036, 12, 6490, 2386, 1176, 5886, 1981, 4710, 4221, 5176, 134, 4391, 7600, 4094, 6539, 8272, 3744, 5102, 8107, 6574, 1953, 391, 8208, 2467, 1946, 7335, 910, 3467, 4323, 7190, 6725, 4495, 1224, 1766, 6441, 155, 649, 43, 5040, 3674, 7357, 5779, 1136, 5702, 3870, 7961, 7959, 1127, 1196, 2746, 5324, 5854, 6821, 2610, 230, 1839, 3071, 6555, 3163, 1931, 3063, 4112, 3247, 436, 7731, 218, 2863, 3695, 1818, 6579, 3583, 7846, 4205, 3680, 2234, 1313, 7673, 2335, 1021, 4226, 5827, 7413, 4542, 3040, 3936, 5252, 427, 6984, 7748, 4953, 1635, 1327, 3429, 4320, 8334, 3128, 8115, 6400, 3609, 4672, 5556, 3013, 1589, 3842, 2535, 7761, 8378, 1916, 6423, 6132, 6163, 8147, 5001, 3638, 1945, 5894, 6890, 2984, 6639, 7108, 3585, 5907, 1356, 5117, 5675, 1481, 1329, 1263, 3086, 4892, 7198, 5062, 2758, 7704, 309, 4313, 7445, 4421, 4158, 8233, 8356, 632, 1269, 1126, 1855, 1572, 3983, 6276, 2799, 1754, 1476, 6928, 2970, 149, 6475, 4165, 3468, 6832, 5292, 7856, 4312, 5614, 6650, 7463, 7244, 1046, 2690, 5271, 3085, 7795, 8213, 7863, 7941, 7711, 1056, 3210, 5424, 5721, 7824, 6464, 2865, 1158, 7100, 4773, 667, 7246, 1231, 4937, 5378, 5928, 2064, 2327, 3166, 5557, 4570, 774, 6642, 539, 2741, 5302, 8365, 428, 4897, 5561, 2771, 6344, 3348, 3173, 7138, 3054, 2981, 1300, 4995, 8187, 4293, 3599, 8121, 5796, 2029, 320, 1413, 5293, 4133, 690, 5851, 2813, 847, 7342, 506, 7747, 4107, 3896, 4956, 2633, 1542, 7638, 4683, 3684, 7577, 6053, 6778, 4754, 3790, 3149, 4153, 4866, 6727, 6883, 5281, 628, 2351, 3020, 466, 308, 6730, 8335, 7850, 607, 6626, 2883, 460, 4844, 2250, 2480, 5172, 7258, 3841, 559, 3602, 1236, 2589, 7591, 2647, 5116, 5204, 5267, 4624, 5579, 3677, 7065, 8406, 4618, 6559, 3800, 4047, 5144, 6331, 1451, 617, 5369, 6218, 7440, 1252, 4934, 1421, 1616, 2096, 1199, 8046, 1935, 1209, 8174, 5958, 8039, 2862, 6358, 8258, 4177, 6692, 7399, 5187, 4181, 625, 1377, 6382, 2728, 7480, 2781, 6109, 2541, 7585, 644, 4292, 8074, 4824, 3569, 7477, 867, 3577, 7228, 2964, 5649, 3769, 5063, 1407, 2660, 170, 3318, 6896, 6517, 3421, 5244, 5812, 3313, 4697, 3516, 7602, 2564, 637, 7556, 153, 3573, 346, 7931, 3252, 590, 2901, 5472, 4577, 4098, 6950, 5764, 4362, 3114, 1058, 1439, 8410, 6119, 4074, 63, 982, 6858, 2371, 2093, 6260, 1124, 6609, 1730, 2469, 8408, 62, 448, 4909, 3237, 7701, 7423, 2526, 5465, 4316, 3986, 4858, 5558, 5555, 2320, 908, 7883, 7125, 932, 4197, 6184, 1765, 2237, 3392, 7204, 7803, 7696, 3473, 5422, 3629, 2229, 668, 5521, 407, 5061, 6180, 8016, 1274, 430, 695, 4884, 4649, 6363, 7032, 5911, 2552, 3031, 1289, 2792, 6690, 3439, 3081, 1762, 8218, 6112, 751, 251, 6699, 6070, 1162, 570, 3283, 5384, 4639, 1173, 7256, 50, 2875, 2783, 2531, 6245, 5756, 2238, 1477, 7034, 2190, 5680, 5388, 4988, 215, 4560, 5264, 5529, 5026, 5093, 6286, 4595, 3515, 1852, 4703, 7983, 6247, 941, 3011, 4556, 2868, 886, 1837, 3950, 5379, 1267, 1742, 4156, 4734, 8127, 2880, 2559, 8035, 6996, 421, 5906, 3464, 6146, 5450, 2896, 7109, 1001, 5488, 2700, 4601, 4600, 4804, 491, 8417, 1065, 3052, 6052, 6099, 791, 3537, 7180, 699, 7250, 549, 3885, 7934, 1250, 3066, 2088, 5448, 6666, 3496, 2560, 778, 5976, 3407, 3266, 3715, 2776, 3389, 1871, 3699, 3523, 1761, 8255, 4516, 6299, 5332, 7079, 7624, 5748, 6497, 7358, 3524, 4959, 4141, 6834, 2415, 4346, 4893, 3120, 2663, 5833, 4492, 7255, 5186, 5114, 2252, 1033, 538, 1215, 4983, 2638, 661, 602, 3633, 5835, 4016, 884, 5620, 3492, 3290, 8305, 498, 255, 5270, 8367, 7586, 4271, 7864, 6416, 5957, 355, 8306, 1814, 4127, 3702, 893, 4863, 4204, 2965, 6373, 3672, 3901, 8428, 6108, 8202, 4309, 3448, 6076, 1038, 429, 2173, 1427, 129, 2652, 4823, 1949, 6458, 7147, 2934, 121, 1079, 7279, 5415, 900, 1429, 6541, 6942, 7888, 1064, 1185, 7767, 23, 4882, 6927, 7825, 6343, 7066, 1908, 6660, 1769, 8396, 1697, 4540, 6268, 7640, 1681, 4625, 6446, 1031, 1995, 8091, 6445, 414, 174, 4891, 5238, 5256, 7513, 5429, 8392, 6876, 6751, 1000, 1554, 2260, 3261, 496, 2938, 5282, 4460, 3009, 5617, 813, 2971, 1934, 3642, 3632, 1779, 7572, 5654, 268, 2291, 3343, 5043, 4008, 811, 5365, 7739, 1265, 5952, 6080, 4811, 3433, 4425, 5705, 6087, 5492, 3039, 3716, 3183, 7670, 4403, 7051, 796, 951, 4035, 2493, 304, 371, 1145, 955, 3344, 5318, 2475, 5743, 3803, 6749, 5205, 517, 7314, 1813, 4997, 2687, 4599, 5075, 205, 3862, 1915, 5528, 8252, 3043, 5230, 6737, 3121, 4788, 2147, 7269, 7558, 7851, 3019, 7229, 1012, 4395, 8123, 114, 3232, 7376, 739, 2996, 4565, 6998, 3255, 7064, 7688, 5540, 7374, 7636, 1153, 8076, 3836, 943, 6588, 2774, 6115, 6919, 7936, 3947, 6755, 2105, 1347, 6803, 2232, 4110, 4348, 2997, 8154, 6443, 1082, 1644, 1438, 8041, 7707, 2676, 2417, 738, 1076, 5999, 2988, 4747, 273, 8419, 6460, 2530, 322, 5294, 5140, 795, 5146, 1120, 6867, 5577, 5400, 6287, 5905, 6189, 5552, 2053, 5086, 7944, 5215, 1794, 2886, 6569, 4973, 1885, 6544, 7914, 2344, 6822, 4069, 6104, 4967, 401, 7106, 6375, 5618, 7021, 66, 2248, 8177, 5392, 6799, 179, 2418, 5728, 2423, 4708, 2940, 4685, 3124, 1943, 7816, 3958, 3151, 7847, 2474, 8414, 3742, 2048, 5655, 3475, 5234, 2450, 4813, 2830, 3618, 605, 1294, 4477, 5550, 2356, 8424, 6591, 8166, 5462, 2091, 3764, 2080, 7417, 3777, 1902, 1172, 4777, 4076, 1972, 5596, 5076, 8310, 4992, 646, 1434, 1392, 1475, 6492, 5585, 8238, 3375, 7796, 2000, 1192, 3528, 3070, 2936, 2403, 459, 7580, 2657, 376, 7695, 2453, 5685, 1362, 3634, 7436, 5766, 5191, 6228, 806, 3555, 740, 6117, 7432, 2354, 5606, 5170, 1923, 560, 5058, 294, 4432, 3997, 6221, 5887, 7762, 2594, 3113, 8331, 7039, 5524, 6982, 2691, 7534, 657, 5323, 3256, 5674, 5105, 2773, 2171, 6402, 3846, 612, 1264, 7879, 3358, 1180, 5918, 125, 3743, 4308, 816, 3606, 6922, 822, 2719, 4834, 4114, 7418, 303, 4057, 1246, 5341, 6723, 6491, 5436, 3162, 3123, 6647, 5777, 3874, 6100, 2606, 357, 3365, 6353, 7012, 1913, 7745, 4684, 1956, 7419, 8259, 2636, 7837, 3090, 4451, 6249, 7347, 2723, 2827, 3967, 4412, 3658, 1217, 7088, 4011, 7987, 4750, 8328, 6860, 2445, 8307, 2317, 7344, 7993, 2188, 4159, 6452, 2784, 3399, 6999, 6471, 6329, 7503, 571, 8014, 1118, 6113, 4163, 4910, 1561, 3142, 1184, 4515, 3741, 1996, 3868, 3952, 6838, 3403, 2239, 5778, 4168, 2390, 5870, 4082, 1261, 6816, 5306, 962, 3780, 929, 6892, 7849, 763, 3342, 4524, 112, 4512, 2545, 1297, 5814, 1960, 6547, 4987, 5161, 236, 7802, 3970, 5720, 8145, 2359, 1073, 4499, 2187, 8110, 422, 6225, 3621, 5123, 4083, 6196, 5100, 2963, 4247, 1536, 444, 3385, 3784, 4444, 7121, 5387, 8312, 6757, 4215, 7085, 3311, 7587, 8304, 2648, 2067, 2576, 721, 3725, 300, 8435, 6230, 6664, 3280, 5427, 2361, 4058, 5682, 8017, 2701, 1317, 7026, 856, 5489, 2630, 2730, 7909, 2850, 3850, 747, 7895, 6670, 5200, 7697, 4795, 1486, 2278, 7875, 5337, 4251, 3854, 1435, 6195, 6251, 7637, 4720, 2207, 6729, 5507, 6264, 169, 4809, 4712, 7049, 6848, 5523, 1875, 748, 211, 2051, 4945, 7535, 6017, 3539, 8053, 4899, 658, 3586, 4045, 4423, 4099, 2230, 3297, 5732, 2491, 5641, 3839, 1018, 3597, 2364, 7892, 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3628, 8232, 6899, 1805, 2863, 3550, 1400, 2149, 4062, 4754, 6150, 6249, 1247, 8040, 4667, 7561, 8173, 2210, 6584, 7367, 59, 3363, 8358, 3217, 7947, 7378, 1589, 7755, 5342, 3734, 73, 4317, 6394, 522, 4336, 8370, 489, 8184, 5275, 3241, 4553, 7046, 5214, 3400, 7155, 6595, 4765, 6356, 2443, 8244, 7490, 1190, 1415, 7556, 2458, 6274, 3934, 5711, 1350, 8014, 630, 2801, 5553, 6799, 6412, 8026, 1749, 6056, 298, 1689, 6117, 4642, 856, 1416, 3092, 2361, 6835, 3618, 2520, 7034, 3962, 1601, 3861, 1481, 1783, 8243, 7455, 2183, 4972, 634, 7347, 7083, 4994, 2243, 53, 2124, 402, 367, 6439, 1117, 1326, 528, 1090, 1004, 710, 5141, 902, 8368, 5112, 3087, 6105, 3696, 1671, 5097, 3874, 1994, 6810, 2892, 1018, 6784, 86, 2887, 3007, 426, 2255, 2944, 8215, 1407, 5414, 2562, 870, 912, 1553, 1582, 5365, 6708, 7125, 1971, 2657, 3795, 1695, 2425, 5833, 726, 8250, 1043, 8045, 8376, 5899, 6665, 1973, 96, 4232, 347, 1845, 178, 5258, 6814, 965, 5343, 3310, 2120, 7501, 16, 2782, 5462, 7408, 5050, 7265, 1510, 1349, 1107, 4172, 3916, 7295, 7692, 4476, 4928, 1459, 2164, 5170, 40, 7055, 7444, 6511, 4350, 5226, 6154, 3648, 7757, 2674, 4299, 5380, 6775, 6489, 5905, 7387, 7538, 4822, 7957, 4701, 7470, 2962, 1291, 3974, 4668, 7171, 1962, 7861, 1527, 4905, 7874, 2432, 4899, 3876, 6628, 8311, 6062, 1330, 5743, 521, 2482, 3338, 6759, 196, 6888, 401, 1364, 4033, 7005, 2152, 3302, 4924, 6598, 7923, 445, 8265, 5301, 2344, 1359, 109, 4579, 6889, 4736, 4286, 6343, 1166, 699, 5810, 5974, 4607, 4058, 4206, 2174, 7214, 4483, 5859, 7179, 1365, 1439, 4908, 6000, 2048, 6806, 1615, 3280, 4600, 5667, 8385, 517, 4052, 3655, 3445, 6149, 6762, 3031, 3044, 5208, 4272, 1503, 4445, 4292, 6727, 3088, 623, 2518, 32, 354, 6631, 7325, 4291, 1279, 5199, 3515, 6854, 5115, 3463, 4462, 2370, 8366, 3503, 5093, 1331, 4313, 8100, 293, 604, 4543, 4327, 4534, 7915, 7280, 4811, 1858, 6079, 4984, 7109, 7364, 6502, 5245, 7231, 2531, 2796, 918, 5085, 5348, 368, 259, 5672, 2396, 6571, 7272, 3782, 1195, 7290, 1047, 6609, 2974, 6929, 2538, 7640, 8405, 1150, 387, 7337, 1130, 94, 8211, 4319, 5489, 3796, 6995, 7, 2446, 2267, 7010, 90, 1505, 7027, 450, 3700, 2084, 1974, 3057, 273, 1147, 4702, 5662, 5040, 3577, 5996, 4719, 1106, 4246, 5574, 3316, 4915, 4249, 3837, 1961, 317, 4128, 647, 2201, 2817, 2130, 2270, 3448, 6325, 3524, 6650, 2088, 815, 1828, 4623, 2305, 6085, 4370, 2038, 5276, 7663, 8072, 8180, 6767, 7815, 5060, 6423, 2680, 767, 2658, 5893, 6138, 8397, 5710, 7509, 12, 2875, 4593, 3257, 1509, 2992, 1262, 5946, 1744, 1927, 4497, 2151, 7729, 6758, 4942, 734, 7447, 191, 6719, 1583, 1947, 7924, 8275, 6351, 1641, 2998, 5297, 83, 3261, 4540, 4407, 5355, 190, 6979, 5023, 7660, 7190, 2776, 6791, 2096, 4289, 2786, 7850, 697, 4558, 8165, 3635, 7833, 3730, 4451, 2161, 6994, 1420, 6319, 1176, 1477, 38, 7147, 1112, 3176, 2353, 4800, 3125, 686, 1312, 645, 2281, 7438, 7543, 6928, 6779, 2698, 3018, 4475, 6960, 7859, 6190, 6342, 408, 2835, 705, 7780, 3182, 896, 1283, 6689, 3850, 3684, 1789, 1360, 2803, 4412, 1879, 4067, 4238, 3735, 4315, 4000, 4832, 6703, 5582, 7668, 3774, 2062, 5194, 1478, 4123, 5391, 6667, 7082, 49, 6317, 425, 2221, 5190, 5883, 6031, 3170, 1292, 4491, 4965, 2984, 320, 6436, 87, 8367, 318, 3268, 3938, 4103, 7773, 3875, 1064, 3488, 311, 6637, 2477, 2212, 6151, 2200, 6867, 5177, 2421, 7732, 1932, 3401, 7013, 3308, 1818, 7589, 2182, 5613, 5860, 6456, 4854, 3884, 709, 3514, 7318, 4570, 3094, 6142, 7415, 7743, 6950, 234, 6684, 2720, 3483, 7803, 4604, 2099, 4748, 6378, 6396, 7454, 2394, 2810, 6046, 2430, 7356, 4547, 6998, 6438, 1466, 4266, 598, 5669, 3694, 5418, 7330, 7422, 2774, 7493, 373, 2685, 8116, 344, 5799, 7410, 688, 6959, 1996, 7683, 1741, 8099, 4767, 2453, 3558, 2273, 2103, 1900, 3278, 6619, 1966, 750, 7137, 3221, 2392, 3629, 8034, 4934, 8103, 6916, 3731, 4439, 7342, 1200, 4119, 5686, 739, 7767, 3955, 1810, 8258, 6864, 7865, 233, 8068, 8327, 3276, 235, 2340, 4780, 7927, 1487, 1598, 2378, 3436, 8120, 5695, 1502, 3106, 3323, 6997, 855, 8151, 540, 2199, 1857, 5268, 2895, 671, 269, 1038, 7954, 3386, 5469, 7577, 7258, 6564, 6674, 1429, 8000, 6533, 6474, 5368, 6339, 8419, 6247, 5513, 3611, 6161, 2973, 4674, 4308, 192, 2081, 1863, 4231, 6129, 1723, 895, 3995, 1436, 6807, 5446, 3325, 1059, 2189, 5243, 4807, 1336, 1782, 7216, 4077, 4649, 7897, 5198, 7762, 8092, 3083, 2936, 6189, 159, 8081, 1408, 1957, 7810, 1421, 6341, 411, 1987, 1771, 8350, 4611, 571, 6536, 2102, 1453, 2332, 5763, 5985, 7234, 6709, 4343, 5510, 18, 487, 3783, 6302, 5735, 4670, 7513, 1699, 791, 3389, 5256, 5745, 2851, 45, 1034, 846, 1470, 5306, 6871, 8357, 2772, 5126, 4959, 6135, 4998, 5479, 383, 5663, 3091, 3760, 1099, 4015, 8319, 2825, 5654, 938, 5846, 7418, 5585, 3822, 4459, 1562, 5908, 8016, 5416, 1328, 2442, 684, 3429, 8130, 5689, 6740, 1609, 301, 6070, 5284, 7905, 6500, 1552, 4133, 437, 8198, 3095, 6816, 832, 2665, 7218, 8360, 410, 1847, 7650, 840, 5829, 3665, 5241, 8285, 4545, 877, 2012, 4138, 7202, 3987, 1474, 4790, 7077, 1631, 5233, 188, 4722, 4307, 6107, 6678, 30, 7867, 2070, 6237, 5622, 6223, 3541, 162, 2485, 3384, 5930, 6984, 352, 4904, 2244, 2957, 8326, 2672, 2529, 4692, 4382, 4090, 3654, 5057, 3895, 5515, 3432, 5387, 186, 2705, 6480, 2030, 8061, 2945, 5264, 2859, 6371, 4526, 3697, 3040, 7479, 1339, 5856, 1220, 2334, 648, 7946, 5491, 4243, 7568, 4827, 5614, 6014, 4933, 168, 7019, 2072, 1379, 4629, 3416, 538, 1729, 8033, 3474, 1212, 1883, 6907, 4079, 2922, 7586, 1437, 780, 3830, 3141, 4353, 1203, 4288, 422, 667, 6669, 4180, 289, 7834, 1605, 660, 5339, 7714, 7686, 1458, 8106, 1719, 5775, 5938, 4055, 7070, 721, 1904, 8137, 3023, 1734, 5618, 6679, 8123, 144, 751, 7881, 3202, 1174, 7464, 612, 5861, 2646, 4059, 7752, 7835, 3703, 7476, 7491, 2980, 6804, 3012, 3260, 733, 3143, 3638, 1276, 1298, 2763, 25, 6032, 7711, 7316, 2933, 6294, 4004, 3439, 2619, 3179, 864, 3303, 4804, 8216, 1270, 7481, 1528, 6530, 1909, 4501, 5832, 3864, 1793, 2073, 2994, 718, 531, 737, 8208, 1332, 5811, 722, 4640, 1057, 3364, 4615, 1422, 6982, 6295, 3038, 3499, 3932, 7332, 2814, 3009, 8355, 3786, 4622, 7404, 6096, 7466, 8017, 2191, 4294, 1346, 1693, 1892, 5949, 1787, 7956, 7707, 3421, 1387, 1621, 8237, 7541, 1506, 5692, 7632, 5566, 6024, 7785, 4850, 2301, 7002, 4653, 6222, 6538, 7432, 3857, 5486, 15, 3992, 414, 8299, 894, 2261, 5932, 5886, 5001, 176, 6550, 6990, 2154, 2076, 6372, 361, 7794, 6307, 5940, 6235, 6676, 6522, 5422, 5154, 2490, 5153, 6355, 4793, 2471, 70, 558, 2946, 1295, 2240, 6523, 2462, 1380, 1740, 3473, 3811, 8373, 3484, 2970, 4309, 7544, 3819, 3067, 1342, 1581, 7664, 3972, 6820, 2983, 5765, 5071, 1514, 1161, 3344, 1886, 5742, 1186, 6983, 5717, 1045, 3641, 7180, 4913, 8352, 1885, 3965, 3757, 7157, 905, 1683, 3980, 1452, 992, 6525, 4863, 1039, 475, 6214, 6707, 7381, 2411, 8119, 440, 549, 165, 7320, 566, 1808, 3390, 4569, 752, 2827, 8096, 7593, 3269, 84, 7437, 1272, 2743, 7127, 8080, 1221, 5852, 5583, 4122, 41, 768, 7685, 2171, 6188, 5267, 2667, 1222, 6570, 350, 4691, 1669, 1813, 1980, 7176, 3749, 4191, 2000, 7590, 2503, 1743, 4107, 7911, 4303, 4773, 5967, 6752, 2961, 1763, 7441, 2556, 4761, 6055, 5769, 8427, 5235, 254, 1170, 121, 8182, 1986, 2751, 4474, 2074, 6976, 696, 7224, 6337, 1530, 3111, 1072, 7594, 6659, 117, 6587, 561, 5482, 6887, 6358, 3798, 1626, 3028, 2614, 2031, 3195, 5858, 8148, 712, 5218, 943, 8118, 2852, 7870, 1231, 2573, 4785, 4907, 4941, 7873, 7071, 916, 7223, 2493, 5737, 3897, 1752, 1252, 850, 5594, 5964, 1993, 7460, 4660, 6260, 1539, 4392, 3066, 457, 4718, 3594, 8049, 582, 7084, 7043, 4132, 4515, 1441, 4053, 7935, 7072, 4236, 501, 8336, 5352, 4088, 5577, 4948, 397, 5234, 8012, 4882, 7098, 2089, 7486, 6805, 6728, 5123, 7427, 7607, 547, 5102, 6800, 5379, 951, 6115, 2591, 3978, 6591, 7041, 7993, 7113, 4374, 2056, 2949, 933, 7845, 7816, 5285, 1988, 5991, 533, 3775, 1050, 7150, 1880, 7305, 7945, 2125, 1080, 6123, 206, 1215, 8406, 534, 8209, 2987, 5625, 6086, 5200, 232, 7452, 3853, 5757, 4789, 1653, 2406, 82, 6368, 3142, 2188, 8294, 5132, 1036, 2251, 6279, 2574, 5175, 4435, 2092, 6729, 2304, 1160, 3704, 3942, 6656, 494, 3487, 7075, 7988, 7416, 5279, 3997, 5440, 4531, 8372, 1511, 6098, 7782, 3883, 7222, 2582, 1394, 8295, 2314, 2773, 391, 5593, 7611, 5074, 226, 189, 3082, 3126, 4275, 2678, 3471, 2377, 3063, 4875, 6906, 5329, 2585, 5066, 4089, 757, 6470, 6812, 2484, 2350, 1815, 1948, 3727, 1700, 6841, 1894, 5784, 5739, 937, 8314, 4484, 2647, 3208, 4063, 1588, 7971, 328, 243, 6273, 2247, 577, 5643, 2890, 854, 3820, 5537, 365, 6901, 7205, 7895, 1911, 3475, 5929, 3909, 3015, 7670, 3295, 2659, 5188, 1391, 687, 2343, 804, 345, 4698, 1594, 4197, 5509, 395, 7510, 4770, 8212, 1722, 5813, 1520, 1120, 5012, 3799, 816, 5481, 3253, 3137, 8219, 8111, 6445, 7546, 1965, 2450, 6923, 5470, 2687, 1555, 5417, 453, 6390, 6880, 3470, 4974, 2132, 6043, 4897, 7829, 4561, 2640, 7067, 3062, 1108, 1806, 4870, 4218, 833, 6012, 1314, 8127, 615, 3753, 6902, 5726, 7192, 7949, 539, 1338, 6479, 2090, 7907, 5870, 1882, 5363, 180, 7453, 6420, 6597, 563, 5611, 5013, 4493, 6627, 4659, 8292, 5639, 7379, 85, 303, 7225, 2429, 6625, 732, 6266, 7105, 4758, 1224, 6300, 52, 1234, 7795, 3042, 3328, 2929, 800, 7343, 4397, 591, 6333, 1249, 3998, 5061, 724, 5976, 5293, 5034, 7783, 1392, 7458, 6626, 8174, 3462, 5095, 3293, 1827, 6686, 6478, 4230, 1471, 5129, 3298, 1654, 2902, 4952, 7814, 6442, 6286, 2285, 8022, 3688, 679, 3956, 5734, 3210, 6683, 6379, 6718, 7991, 7303, 1950, 7341, 2575, 221, 8362, 2318, 1020, 201, 4799, 2664, 3960, 2069, 7893, 1483, 6978, 3377, 7545, 2906, 3870, 1153, 2262, 7576, 1083, 4654, 6359, 4687, 1366, 1, 6975, 8223, 8202, 5716, 4281, 779, 4339, 4215, 329, 5335, 2903, 3710, 578, 7750, 5274, 6021, 3590, 2141, 348, 6287, 1567, 4255, 182, 8059, 5239, 1002, 1484, 2675, 7515, 8007, 1584, 5378, 5118, 1165, 0, 2150, 5512, 34, 2697, 7913, 5590, 632, 6147, 7719, 1919, 4980, 1764, 4371, 1842, 2146, 3902, 3336, 4535, 8318, 2248, 5564, 1374, 5162, 2121, 2972, 5189, 915, 8159, 5768, 3817, 2317, 7038, 2770, 1385, 596, 1324, 2473, 246, 5909, 6418, 3645, 5215, 6323, 3986, 6078, 4064, 1999, 4375, 2218, 4126, 262, 2071, 4712, 5390, 7709, 7035, 6016, 5828, 3233, 6025, 1976, 3548, 1143, 5449, 3544, 2123, 4470, 2969, 2045, 7974, 3778, 6878, 3693, 4121, 4759, 7592, 3848, 3716, 8044, 4680, 2444, 155, 4739, 7346, 6600, 3531, 1864, 3689, 1912, 7537, 5971, 4194, 544, 6509, 6792, 4612, 7868, 6136, 493, 2916, 7569, 783, 1361, 6905, 1217, 6717, 7003, 7724, 4563, 6813, 7965, 7598, 6433, 3147, 8261, 3449, 889, 390, 1140, 5464, 2059, 4608, 5544, 8217, 1843, 4278, 4321, 7386, 8009, 963, 2871, 8381, 5748, 6377, 1469, 7198, 2775, 5549, 67, 6897, 7753, 3678, 4911, 5254, 7699, 7457, 4821, 6099, 7514, 7522, 4234, 5269, 745, 2779, 3896, 2930, 1803, 5825, 5891, 7758, 2006, 184, 6204, 74, 7197, 6484, 3011, 6646, 4202, 6827, 3547, 7100, 174, 3442, 7328, 652, 1580, 7007, 8369, 7413, 1026, 2213, 3975, 6375, 8055, 8038, 7115, 1646, 1990, 6559, 5786, 6275, 5764, 7185, 7633, 1540, 5291, 2991, 4329, 7282, 294, 8006, 3831, 1953, 5224, 2143, 1773, 3918, 3199, 4340, 2724, 7559, 6061, 1061, 6645, 1214, 1547, 3859, 6264, 3816, 3954, 7419, 5222, 2242, 3502, 6768, 5709, 1044, 7554, 104, 7298, 3583, 5374, 7587, 8281, 3494, 2222, 640, 3420, 4150, 4177, 5158, 4647, 6338, 7941, 6711, 7269, 6013, 6229, 4471, 8146, 6460, 5436, 2629, 1058, 2907, 3314, 7889, 4753, 4431, 3410, 2547, 6144, 3036, 4802, 129, 7744, 5926, 4100, 6919, 2216, 655, 646, 773, 888, 8167, 2819, 3940, 5466, 2516, 1495, 934, 6808, 2404, 1922, 3372, 3479, 6780, 479, 4618, 8163, 5111, 3140, 7483, 1634, 4386, 7116, 6030, 2858, 386, 2237, 3294, 847, 1692, 8392, 6657, 4757, 6517, 5755, 6233, 5630, 257, 100, 2066, 1171, 2511, 8344, 7617, 47, 6840, 4492, 7591, 3579, 4008, 7955, 6953, 6977, 4995, 2263, 3406, 4677, 2187, 7273, 7914, 7697, 7477, 1137, 3517, 7068, 3609, 398, 6743, 5272, 6477, 4229, 6739, 5635, 1638, 7102, 1625, 3492, 2826, 2481, 5877, 4263, 3203, 69, 7088, 5555, 4938, 1940, 6912, 2800, 2716, 4081, 2336, 4404, 4199, 2785, 2960, 7765, 7129, 3893, 4962, 8245, 2558, 5526, 438, 2454, 6244, 3, 6782, 7363, 5993, 1887, 1278, 3248, 863, 5134, 1210, 5804, 2820, 8425, 5327, 7246, 1196, 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4295, 8142, 5766, 5867, 7566, 8411, 3812, 4522, 207, 3209, 2474, 1577, 4669, 218, 1989, 4387, 674, 878, 1071, 4539, 999, 6529, 3388, 3457, 7057, 116, 6655, 4427, 6749, 1929, 3337, 3353, 1860, 4072, 4695, 1945, 4616, 5149, 5700, 4572, 2300, 6087, 2346, 3741, 5018, 601, 1118, 2108, 2002, 7588, 1284, 2723, 388, 7096, 5376, 4707, 5520, 2747, 4973, 3669, 8236, 6374, 4188, 3068, 3736, 5783, 6430, 3227, 72, 7843, 5094, 5889, 8320, 499, 4992, 1814, 6633, 8070, 8379, 8221, 5524, 1461, 7189, 2679, 5650, 2578, 3944, 1721, 4939, 5741, 5925, 8169, 5044, 7374, 7801, 6738, 1644, 4260, 627, 5228, 4183, 7898, 3150, 4261, 2266, 5178, 6882, 5427, 5821, 8166, 1586, 7489, 8214, 5003, 3433, 8323, 290, 4284, 974, 1218, 2882, 1549, 6301, 7389, 2536, 5992, 8010, 2637, 5108, 7857, 1246, 7165, 1255, 3608, 3324, 4883, 421, 6353, 6429, 6660, 7551, 2035, 8365, 1967, 2348, 8057, 4394, 6389, 3969, 7563, 4332, 986, 3413, 7440, 3086, 2690, 2769, 514, 749, 818, 2260, 754, 3670, 1574, 92, 8168, 5127, 583, 7932, 6837, 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904, 2019, 5863, 3400, 5823, 15, 4288, 5701, 4727, 82, 1746, 3900, 7942, 2700, 4673, 452, 3475, 2687, 1637, 6981, 4446, 6165, 6461, 4226, 6321, 37, 7856, 5191, 5238, 284, 6821, 5494, 652, 4053, 2894, 6647, 6019, 960, 1421, 2485, 3603, 682, 6415, 1437, 2203, 472, 4661, 846, 5569, 829, 4435, 888, 1042, 1128, 1244, 2525, 433, 5184, 154, 789, 370, 5558, 8221, 1252, 7952, 4088, 2307, 105, 5820, 4647, 7536, 8437, 8010, 4208, 8369, 7721, 60, 7881, 4426, 6135, 775, 4792, 354, 1255, 2902, 4944, 5375, 3405, 7119, 30, 1592, 7499, 8004, 918, 8087, 4059, 6589, 8007, 7810, 7610, 6373, 6858, 2037, 2585, 1573, 800, 3903, 2212, 5167, 8117, 4137, 4161, 6794, 5718, 2875, 8320, 927, 8092, 1320, 1526, 3927, 2270, 2233, 4157, 6700, 3085, 3594, 5711, 255, 1804, 69, 13, 3322, 2049, 4580, 4189, 5749, 1805, 4653, 8114, 1125, 866, 5716, 5123, 2250, 1561, 2942, 4048, 2944, 4218, 5809, 1355, 3768, 2925, 961, 3330, 5731, 8400, 7913, 7637, 6664, 1893, 5045, 8351, 2381, 1699, 7631, 6626, 5015, 3742, 1994, 6020, 845, 3219, 45, 7462, 4109, 1844, 3562, 1094, 3511, 6832, 164, 4451, 4134, 6136, 7006, 6531, 7246, 3766, 6032, 719, 6612, 919, 3140, 1027, 7855, 141, 6971, 1727, 4173, 5771, 8266, 2500, 3601, 2215, 459, 90, 6969, 8214, 3539, 5786, 3988, 547, 2572, 5030, 2588, 3836, 1609, 8188, 6591, 1522, 1422, 3514, 2547, 5550, 3588, 5210, 7379, 1431, 2231, 2517, 5884, 543, 4147, 6529, 1969, 2483, 3675, 6975, 4187, 4693, 8267, 7290, 5067, 6948, 4615, 5755, 1932, 35, 6504, 7446, 3925, 6763, 2631, 5883, 8009, 3080, 6525, 8217, 3696, 8008, 2519, 1871, 4367, 6491, 5927, 4783, 8024, 160, 6134, 16, 6386, 6, 7582, 5107, 3004, 555, 1942, 445, 6692, 431, 3419, 1581, 4264, 7529, 5621, 6767, 2244, 5493, 8105, 4323, 3636, 899, 3997, 3949, 767, 2719, 1930, 2303, 7467, 4100, 1993, 8324, 5728, 6605, 1827, 7718, 2108, 7218, 8088, 5209, 1344, 2831, 3907, 7891, 5193, 3683, 1476, 2974, 2068, 5414, 889, 4325, 6488, 7744, 7570, 5077, 1585, 7937, 5618, 314, 4139, 3981, 1373, 808, 4324, 5279, 2428, 3521, 5966, 3465, 5585, 4008, 2284, 5981, 4832, 4985, 1647, 5383, 7238, 4987, 4257, 7011, 4520, 1405, 870, 1916, 234, 2397, 7831, 6730, 7223, 2436, 1884, 2916, 2732, 8292, 2654, 1171, 5843, 2453, 5136, 6107, 2277, 7766, 4611, 5519, 1951, 1112, 4277, 5991, 6074, 2196, 6687, 6363, 7410, 4298, 4177, 909, 5282, 6177, 1393, 680, 1675, 4642, 969, 7824, 6231, 2047, 6158, 1837, 7383, 2599, 3800, 5190, 6048, 1098, 454, 398, 2263, 4762, 386, 3989, 3365, 6418, 2211, 7905, 6695, 3366, 3520, 8398, 3948, 2207, 2715, 7862, 2137, 1737, 5258, 4999, 2317, 2926, 2386, 915, 7923, 8127, 5595, 1517, 3479, 67, 5131, 7751, 2744, 7575, 5394, 7418, 2296, 4326, 7373, 6102, 8176, 1178, 6784, 26, 1769, 1841, 4777, 4991, 3435, 2095, 3557, 6964, 1738, 6970, 2556, 6683, 8279, 3255, 1594, 5359, 5059, 144, 3109, 3575, 7474, 361, 3426, 2220, 100, 6820, 4197, 1074, 763, 1670, 6848, 4190, 7878, 1783, 5498, 3726, 6863, 8149, 8313, 2697, 170, 5707, 2812, 7140, 2338, 1588, 5680, 6489, 7433, 1069, 2206, 263, 6705, 1631, 48, 6729, 3682, 924, 585, 550, 1852, 1436, 2624, 5958, 8145, 7482, 2326, 1266, 4510, 59, 4749, 7922, 3492, 7521, 3555, 1194, 5439, 3566, 1228, 1800, 74, 7638, 4986, 8380, 3872, 5284, 146, 4096, 890, 4072, 934, 5466, 8300, 1680, 6673, 568, 8357, 4316, 2866, 3460, 29, 2520, 2609, 150, 7057, 537, 5300, 3664, 710, 1934, 6243, 2850, 5164, 7183, 487, 3930, 306, 7996, 7820, 7951, 3687, 5998, 3990, 7982, 2948, 3252, 8180, 5212, 6092, 2629, 7069, 1021, 6060, 2422, 6444, 4542, 7276, 6846, 6001, 1061, 3528, 5756, 7359, 7008, 3640, 2735, 4896, 5688, 538, 971, 1655, 5594, 174, 4873, 2598, 6172, 3321, 8406, 7948, 6735, 5188, 1584, 6099, 63, 5121, 2057, 7858, 6456, 7926, 2042, 5534, 3482, 8305, 7871, 3910, 4596, 1658, 4651, 2297, 439, 1062, 2723, 3553, 4063, 1366, 2492, 8411, 225, 6915, 6855, 2760, 4167, 3047, 7624, 3369, 6244, 5339, 425, 336, 5699, 7509, 7816, 3571, 5230, 2742, 3217, 8215, 1439, 7113, 4980, 2830, 5345, 2372, 2536, 5555, 2279, 5237, 7503, 7252, 6161, 5239, 4577, 44, 2009, 3501, 2638, 7979, 1063, 5168, 6748, 6588, 7934, 2869, 1850, 7949, 798, 7371, 4244, 6963, 2681, 7103, 2823, 2344, 7073, 6117, 6679, 5496, 6682, 5242, 5274, 451, 400, 2253, 7280, 884, 6263, 2670, 6845, 1157, 4068, 492, 8235, 3129, 2912, 490, 2569, 3149, 2513, 892, 6712, 3994, 6071, 1958, 8032, 3871, 2580, 5753, 4640, 8228, 5967, 2740, 6192, 3645, 4397, 7702, 327, 1101, 1901, 2669, 2438, 747, 2759, 4486, 4436, 7255, 4705, 6216, 3854, 6304, 1788, 3312, 3053, 523, 4788, 7986, 573, 2168, 241, 7705, 4664, 8107, 1603, 3778, 4639, 5795, 620, 7944, 3067, 6732, 4384, 5055, 5607, 3425, 8375, 1387, 970, 2955, 5112, 6458, 1254, 153, 81, 1483, 1162, 4216, 984, 1666, 5826, 671, 2400, 254, 925, 3760, 7959, 686, 4118, 5440, 359, 2093, 3967, 1698, 1202, 7081, 7507, 626, 7750, 4158, 1441, 6042, 4369, 4335, 4778, 1513, 7275, 5115, 3040, 2705, 1270, 2447, 5535, 1243, 864, 3268, 399, 6809, 4935, 4064, 4648, 4722, 1396, 5094, 7846, 6766, 7470, 1720, 6945, 2956, 6291, 6661, 8194, 3403, 1484, 5589, 6342, 8040, 6717, 614, 1760, 2613, 346, 329, 6453, 2258, 5690, 1793, 6089, 6398, 8124, 3825, 2531, 3353, 1473, 1008, 7562, 1060, 1384, 4924, 5616, 8152, 5544, 2977, 4489, 6277, 7839, 5691, 1888, 3332, 2310, 997, 8121, 1265, 2762, 3799, 2615, 7915, 2576, 4915, 6743, 7019, 1386, 465, 596, 3197, 2223, 3082, 2891, 2584, 1940, 4827, 591, 1082, 1689, 4202, 2769, 5318, 5645, 4538, 6495, 8424, 1388, 2225, 3785, 4146, 4708, 1363, 7722, 8025, 4239, 4143, 2417, 3356, 6296, 7787, 3786, 4989, 5687, 3011, 4929, 12, 7143, 3152, 5856, 4737, 5985, 6615, 1332, 1566, 7997, 6469, 6387, 1330, 4912, 2821, 1786, 2777, 5233, 6787, 7792, 4839, 2651, 4776, 2239, 7339, 8273, 5102, 5748, 7550, 450, 3111, 1116, 2460, 7439, 3276, 6899, 5179, 4233, 5013, 4102, 1705, 1229, 843, 5836, 1748, 1429, 6325, 746, 6686, 7110, 7728, 4955, 6332, 7465, 517, 32, 2714, 1447, 6655, 1284, 6132, 1579, 4453, 33, 4169, 1875, 5832, 5663, 4600, 7723, 4112, 3727, 6168, 1017, 7527, 791, 6362, 7692, 5894, 8030, 1518, 5037, 6791, 1018, 6090, 1164, 908, 3282, 816, 5363, 1853, 5095, 2557, 7662, 4133, 8174, 7067, 2476, 7270, 8413, 2169, 6303, 2886, 4002, 7281, 5368, 345, 7677, 2914, 1153, 2472, 3898, 5821, 5993, 4183, 5497, 7346, 4969, 1708, 4375, 7158, 3533, 4141, 3316, 8244, 0, 3743, 2717, 5918, 5326, 1967, 694, 6424, 4038, 4091, 5407, 2166, 5557, 3765, 3469, 6662, 6799, 5551, 4186, 7514, 6230, 5808, 4419, 7701, 2763, 2375, 5119, 8003, 5661, 4198, 665, 785, 455, 4309, 3885, 2516, 642, 2798, 1372, 6834, 1267, 5736, 3762, 7355, 6103, 7812, 724, 6013, 1536, 533, 730, 1231, 2657, 3718, 6663, 4521, 7779, 5165, 7269, 6187, 3204, 4094, 7437, 7502, 112, 4458, 4698, 3972, 1487, 6711, 8353, 1972, 316, 6462, 8294, 732, 7447, 5319, 4472, 7358, 6571, 4564, 706, 5314, 6206, 3442, 4711, 1121, 2567, 3106, 928, 7023, 6341, 3606, 467, 7691, 1041, 4587, 2983, 4421, 2364, 6211, 704, 4404, 3992, 1496, 5038, 2559, 7415, 1554, 7621, 7247, 6957, 3757, 900, 5870, 7202, 5390, 7356, 6293, 237, 5639, 4569, 3251, 4635, 2232, 5777, 7679, 347, 8270, 2387, 8389, 4209, 6576, 8096, 856, 5391, 4121, 6212, 80, 4794, 1326, 4401, 3207, 6055, 4731, 6865, 3515, 2151, 1077, 5615, 7328, 6953, 811, 5880, 6017, 3449, 4075, 7481, 615, 5903, 3559, 6508, 6539, 1181, 7292, 7958, 4286, 4347, 3719, 2634, 7045, 6045, 4398, 2550, 6133, 6007, 655, 741, 7209, 7077, 6959, 7381, 3574, 8222, 6987, 4743, 6496, 5354, 554, 2553, 7340, 43, 5171, 4841, 351, 3240, 2960, 7189, 1695, 5400, 5362, 7500, 444, 7160, 5459, 6479, 6540, 5349, 6524, 7940, 5221, 1210, 885, 4739, 7004, 727, 5495, 3183, 627, 1442, 787, 7902, 2112, 1859, 726, 2692, 3329, 1745, 4240, 903, 5714, 3468, 4897, 7586, 4168, 4706, 6214, 2096, 6381, 3915, 8187, 7421, 4825, 5745, 114, 7617, 1673, 6407, 2182, 7663, 5825, 3423, 4464, 4025, 1869, 4473, 1988, 8101, 5520, 203, 6336, 3710, 4524, 1016, 8277, 190, 3761, 2000, 6416, 325, 2184, 402, 1801, 6942, 8435, 5988, 1913, 4590, 2806, 6616, 8297, 4875, 7251, 5096, 5866, 8059, 4894, 4637, 7132, 3020, 1020, 2640, 4767, 5357, 6844, 2001, 3750, 6564, 6876, 5875, 1141, 3384, 75, 275, 8393, 7052, 3061, 7653, 2080, 1515, 3458, 606, 6065, 3440, 269, 5295, 4140, 3290, 1915, 7615, 3508, 3985, 4899, 4833, 7884, 1583, 6144, 6538, 3826, 7522, 4835, 8412, 4009, 666, 4029, 3336, 8169, 1093, 6684, 7921, 3674, 5369, 3632, 3950, 7263, 391, 4895, 4583, 7614, 4155, 7829, 580, 7076, 4267, 4965, 1338, 5111, 4759, 7647, 5083, 2674, 7250, 1193, 5766, 1983, 5120, 222, 8043, 463, 5539, 8057, 3904, 4266, 7376, 5068, 3659, 3510, 5419, 4716, 7084, 2323, 2465, 6759, 3848, 5033, 5460, 247, 6237, 6050, 2782, 6278, 1298, 7625, 2964, 2100, 4718, 4566, 310, 2180, 3599, 540, 4015, 1180, 3649, 4826, 7587, 6064, 5791, 7406, 5627, 6294, 3397, 3421, 5159, 7749, 7924, 4033, 3814, 7938, 5914, 6710, 2713, 3193, 2383, 7821, 7710, 8100, 8047, 6006, 8374, 7970, 8063, 2767, 2490, 1691, 1410, 2726, 6835, 813, 2665, 2529, 3928, 1976, 2362, 7784, 1005, 2899, 4447, 7198, 4565, 5665, 4030, 7424, 4943, 4934, 7070, 8245, 677, 3579, 2684, 5642, 4124, 1485, 7775, 1685, 901, 6305, 2316, 1733, 3693, 5415, 1297, 567, 8302, 1039, 4616, 939, 898, 6980, 1107, 2945, 6891, 4993, 1406, 623, 5778, 5418, 646, 239, 4660, 6962, 7234, 4658, 6965, 279, 343, 8347, 2939, 1789, 1223, 4553, 4597, 4961, 6331, 1654, 1723, 413, 6703, 207, 6002, 2982, 3668, 965, 678, 3495, 417, 7222, 992, 8172, 1870, 2978, 215, 1370, 2066, 3564, 5025, 8364, 7682, 8049, 2148, 2415, 2388, 6100, 8425, 1462, 4045, 3058, 2871, 89, 6998, 435, 1420, 8390, 5962, 4877, 2864, 2755, 2852, 5294, 5739, 4217, 7490, 6422, 7196, 7889, 7147, 5036, 7687, 3730, 1287, 4343, 6493, 3523, 2981, 6068, 3828, 2546, 3628, 4092, 2731, 5563, 2132, 5693, 8115, 3028, 6594, 6026, 319, 84, 5733, 905, 2796, 1031, 5622, 7526, 4937, 2098, 1137, 7403, 6783, 8286, 3034, 3408, 8054, 858, 2419, 8071, 2878, 3724, 8254, 6115, 718, 6831, 1798, 6512, 6807, 3202, 1242, 5628, 5722, 3295, 6494, 7947, 6547, 4365, 5053, 7020, 6205, 861, 7914, 3644, 830, 1411, 7112, 315, 6690, 1277, 2922, 3453, 7401, 1987, 6497, 5602, 3638, 2779, 3146, 6464, 7053, 7886, 2302, 3625, 2816, 3055, 3488, 2837, 7706, 7448, 7930, 4809, 3457, 2621, 7096, 5380, 1732, 702, 539, 3552, 532, 491, 6413, 3905, 2594, 5361, 6254, 5915, 5225, 7873, 6887, 1218, 8344, 8185, 7870, 2332, 4963, 6120, 7655, 8359, 1049, 3789, 6093, 1729, 5058, 3803, 4499, 2876, 119, 946, 2404, 5130, 5984, 1274, 4136, 5583, 5867, 8225, 6752, 6427, 4962, 2897, 7759, 5521, 6327, 6604, 882, 515, 6486, 4317, 3777, 2908, 5506, 3926, 8191, 1432, 228, 5381, 4584, 3549, 2905, 3376, 3899, 4745, 3678, 1807, 6374, 4299, 5705, 7409, 8014, 6681, 3144, 2612, 7740, 4570, 5436, 5268, 231, 3209, 5724, 7176, 6552, 6654, 4423, 6105, 760, 937, 3051, 1068, 5542, 4974, 8227, 551, 4245, 8138, 357, 2783, 8301, 524, 5774, 6611, 6665, 3722, 3560, 8330, 6194, 4132, 3012, 2817, 5584, 195, 401, 267, 2597, 1612, 1109, 446, 6868, 118, 844, 7071, 1956, 6207, 7672, 1272, 2123, 2919, 4390, 4003, 3097, 6256, 3945, 8080, 7402, 1260, 2984, 181, 3184, 7134, 7609, 4342, 7780, 4589, 8362, 4366, 6454, 4514, 891, 335, 2378, 3870, 4340, 7062, 5411, 3691, 8000, 3001, 2943, 2097, 350, 5561, 6025, 3283, 5476, 4182, 1169, 2814, 3210, 6308, 860, 5134, 1379, 6723, 2154, 106, 3005, 5641, 962, 3529, 4357, 4926, 1823, 1295, 4773, 819, 483, 4281, 5187, 5255, 238, 1527, 578, 6903, 6649, 1553, 6088, 7271, 3232, 3602, 764, 1836, 2842, 3427, 7047, 5444, 6492, 3145, 7904, 3856, 3524, 8069, 3213, 5610, 5402, 3672, 826, 1054, 3103, 3360, 3706, 2213, 2512, 7496, 621, 4261, 7545, 3658, 4909, 756, 5741, 5002, 5831, 6347, 1834, 6441, 6901, 1878, 5468, 2507, 2328, 3860, 6532, 880, 5486, 6438, 7711, 4319, 2045, 6069, 7955, 7150, 6943, 5082, 6397, 630, 5801, 5371, 7227, 1343, 1822, 2653, 6888, 6358, 2628, 7374, 5852, 4979, 3816, 3429, 4246, 7616, 6929, 1776, 3875, 953, 1029, 1904, 4300, 7455, 2986, 2867, 832, 6827, 8020, 3987, 1152, 8246, 1480, 7563, 3171, 7387, 5455, 5936, 7531, 5438, 6184, 5956, 3248, 1367, 8165, 4405, 5657, 6860, 2111, 526, 1378, 6841, 6364, 3810, 5838, 7732, 3858, 7272, 8255, 7899, 7492, 1359, 5342, 8431, 6570, 4888, 7033, 7486, 6585, 6817, 6411, 618, 2405, 2724, 7341, 8171, 8029, 7398, 5474, 6545, 1678, 6394, 1463, 482, 388, 1126, 2835, 3211, 4178, 6253, 480, 6173, 792, 6889, 5029, 4386, 3749, 1941, 5483, 4481, 8153, 3554, 3592, 2116, 3105, 1552, 3570, 7644, 7466, 657, 2046, 295, 3929, 3068, 2509, 3262, 1184, 3980, 761, 220, 4238, 4836, 5738, 1814, 7770, 7348, 3671, 513, 3916, 8021, 4599, 42, 2170, 5148, 3944, 7911, 4543, 4348, 6704, 6180, 2591, 5702, 2333, 3030, 3093, 4674, 1829, 2124, 7758, 4719, 6406, 3646, 877, 7703, 4034, 4210, 3517, 7969, 1034, 831, 5125, 7219, 7560, 5978, 3474, 4821, 4412, 6760, 4629, 2972, 7867, 1038, 1697, 2799, 10, 5219, 5366, 1127, 1037, 648, 3462, 553, 7504, 570, 4878, 8027, 3306, 6224, 3418, 1629, 8345, 61, 3633, 8291, 1764, 3048, 3619, 4241, 7306, 4697, 8253, 235, 6526, 7297, 6523, 5773, 8311, 3130, 8230, 2863, 292, 4925, 3188, 4995, 1375, 1703, 2618, 1990, 3177, 4165, 7584, 3911, 6059, 936, 4433, 2255, 7216, 7945, 7038, 7228, 1957, 1667, 574, 7953, 5762, 2420, 2649, 2346, 2999, 3660, 6298, 6660, 8293, 3725, 2062, 57, 4174, 6656, 5122, 8103, 1855, 2666, 6635, 6815, 5182, 2505, 6541, 6819, 7555, 7919, 7939, 6788, 8383, 3293, 7144, 7963, 4199, 447, 3292, 51, 7309, 4231, 4834, 4291, 5874, 1890, 2701, 4831, 297, 103, 5518, 4945, 116, 3892, 2017, 5222, 3139, 5302, 1766, 3573, 6935, 4549, 2542, 6446, 5070, 7800, 5935, 5895, 6715, 8168, 5591, 4, 5925, 5275, 581, 6866, 3270, 3446, 6698, 2335, 2026, 6072, 2087, 3201, 1087, 7652, 7595, 4336, 2221, 4670, 8283, 5163, 4172, 2839, 7542, 7095, 1648, 2874, 3186, 7708, 5464, 3347, 7826, 2739, 5054, 2059, 3863, 2292, 4361, 1059, 8308, 5260, 1383, 3627, 5156, 3043, 3253, 7585, 1151, 1009, 1864, 24, 8136, 2106, 3525, 7372, 2524, 2471, 4978, 1354, 3556, 5700, 7852, 8151, 2078, 3932, 286, 5373, 3968, 2424, 206, 227, 7598, 1168, 4452, 5244, 1731, 1719, 3669, 848, 1158, 3263, 4982, 733, 3026, 1407, 4849, 661, 3060, 6005, 837, 1947, 3038, 7628, 869, 356, 4364, 643, 4328, 4992, 6936, 1425, 2010, 1235, 2380, 2840, 54, 1838, 2058, 4074, 3377, 1716, 7170, 7543, 2498, 6836, 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5761, 2676, 4867, 4083, 4744, 3806, 6451, 5101, 3824, 4236, 3569, 2385, 2610, 7131, 180, 3185, 1001, 3135, 3605, 2836, 1402, 5306, 5331, 7319, 6505, 6718, 5635, 2603, 5433, 504, 4320, 6466, 1549, 6976, 1866, 2730, 3118, 2156, 1577, 1236, 495, 6908, 8419, 6837, 5920, 516, 6559, 7137, 5181, 6306, 4007, 809, 5970, 3690, 6279, 2061, 3108, 7796, 1511, 3486, 913, 8229, 7877, 202, 7322, 8166, 2103, 1364, 7221, 2173, 6757, 3952, 1876, 4984, 4862, 1099, 3245, 7836, 1124, 7589, 151, 6528, 1849, 2497, 7875, 270, 3333, 2963, 4101, 1696, 2857, 3296, 5822, 1633, 1000, 8307, 7983, 1046, 3294, 4606, 5889, 2661, 5640, 6339, 6015, 2533, 4151, 304, 2727, 1589, 262, 5384, 1806, 4921, 3798, 1544, 5509, 3309, 2494, 6297, 4997, 6762, 6261, 5768, 6238, 4763, 5341, 8434, 2888, 4540, 6425, 1213, 2648, 3583, 6356, 5321, 6202, 6485, 5270, 5670, 7667, 274, 1268, 4303, 462, 4071, 322, 2938, 3849, 5652, 3267, 1035, 5088, 2534, 5719, 1651, 7259, 5977, 2083, 6952, 3246, 3086, 3866, 5658, 2801, 7634, 77, 544, 2900, 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3775, 3500, 1960, 3351, 1444, 1873, 5406, 7431, 3586, 1409, 7000, 3623, 2934, 3695, 807, 6503, 385, 7166, 7464, 2677, 8358, 4107, 1362, 7650, 2343, 5286, 886, 6782, 5328, 3711, 434, 6167, 5478, 4738, 6810, 1604, 7936, 4051, 6997, 8111, 6130, 5568, 4902, 628, 5032, 7225, 3042, 4663, 522, 6423, 4765, 1445, 2433, 2480, 1540, 893, 6747, 8112, 6983, 5827, 1195, 7456, 4920, 7074, 2138, 3919, 4385, 291, 6385, 4659, 6511, 7592, 1624, 1919, 6555, 3237, 6149, 1626, 4922, 4478, 3325, 3776, 3143, 8373, 6550, 5018, 1840, 3194, 1397, 827, 3452, 7457, 6226, 3064, 6933, 6919, 4891, 753, 1570, 375, 822, 4613, 778, 5564, 7771, 4644, 801, 6085, 2195, 6138, 4958, 3665, 2923, 1026, 3634, 2773, 2314, 5872, 7897, 4308, 7342, 1488, 4019, 6112, 8414, 6979, 7834, 5548, 7468, 2680, 8395, 1925, 4530, 2183, 5646, 1245, 703, 1149, 192, 2688, 3339, 6392, 2262, 1882, 6750, 5151, 2992, 3317, 6587, 6086, 296, 3593, 2374, 8119, 2281, 7488, 5888, 5523, 6736, 3684, 2301, 3802, 5019, 1996, 6862, 7036, 4574, 8248, 4285, 2444, 5603, 4557, 7061, 6805, 218, 3300, 2595, 1590, 8118, 3132, 5280, 1404, 7044, 4847, 2256, 2410, 1991, 2630, 443, 4916, 4330, 3550, 3505, 7666, 7126, 6036, 3878, 4329, 5559, 3504, 243, 17, 3969, 7656, 4940, 3667, 3407, 7240, 4614, 5092, 1224, 6896, 4752, 6950, 403, 5604, 4720, 5805, 4459, 3608, 4655, 7678, 2331, 6720, 6652, 1435, 4742, 5744, 7079, 5990, 8223, 5598, 7201, 3381, 3543, 2322, 3561, 5417, 1450, 5560, 2306, 790, 6053, 3920, 365, 3822, 6323, 7283, 3244, 6382, 863, 5470, 78, 3609, 1305, 7375, 8082, 7802, 5713, 7827, 5042, 4302, 5772, 3616, 7422, 4333, 8382, 4812, 1023, 3117, 7257, 6029, 5297, 5500, 5273, 6638, 1216, 5517, 7540, 1898, 7092, 7068, 6917, 5056, 8132, 699, 4512, 1796, 3477, 520, 5011, 3057, 1567, 4111, 597, 2686, 208, 940, 6388, 2917, 5487, 140, 4957, 7832, 4941, 5144, 2716, 700, 7101, 2285, 3673, 7407, 5098, 1894, 7716, 3886, 1619, 7929, 5911, 6606, 1398, 1072, 2029, 7879, 3123, 7121, 5429, 6569, 5336, 3782, 4883, 3938, 3978, 5879, 7285, 7310, 4861, 7338, 4294, 4558, 8038, 3343, 4020, 3187, 3970, 1963, 2961, 2243, 1197, 3066, 7305, 2789, 2501, 6670, 1759, 7974, 4243, 3752, 4840, 4429, 5382, 1529, 4363, 5291, 6905, 7561, 4193, 6507, 5447, 1755, 5931, 956, 2394, 7525, 2282, 1417, 6265, 2079, 3513, 2198, 173, 7574, 5536, 47, 6193, 8427, 1248, 4093, 2219, 2685, 4728, 3823, 5154, 1313, 3637, 426, 2052, 3830, 7279, 2847, 5376, 4356, 3921, 5176, 6328, 695, 2423, 8341, 213, 7980, 2747, 7994, 7524, 1043, 3581, 4052, 5456, 2893, 2391, 2439, 7806, 7501, 3319, 1881, 1455, 7778, 1998, 1182, 1926, 4770, 4206, 6213, 5020, 4420, 8140, 1419, 7859, 2334, 7850, 4497, 4171, 1782, 2656, 1751, 8376, 109, 1899, 1259, 3327, 1922, 3410, 7776, 6716, 4780, 674, 4422, 3364, 1847, 8310, 3370, 4913, 7473, 8173, 6081, 7296, 2217, 768, 7635, 4828, 3128, 8378, 6075, 3882, 1707, 7384, 5857, 2592, 3454, 2459, 8077, 2449, 1889, 7114, 381, 2446, 6728, 2691, 7544, 3160, 3542, 108, 4602, 2286, 7043, 2167, 5303, 3402, 5811, 5128, 3965, 3050, 132, 8233, 236, 2072, 5007, 5116, 3963, 4688, 1469, 6333, 5751, 5426, 3838, 2626, 2910, 503, 8170, 233, 3131, 5905, 1815, 7361, 5290, 6284, 194, 7302, 4822, 6900, 8067, 5441, 6947, 5048, 4533, 3259, 2336, 4885, 285, 3250, 6954, 6119, 1433, 1608, 716, 226, 6315, 2441, 629, 7497, 1084, 4898, 4863, 5512, 3679, 4119, 3136, 5734, 1401, 4511, 4683, 3702, 4612, 5617, 6546, 4927, 3864, 2737, 7058, 7547, 7657, 2408, 4181, 1905, 6447, 617, 3893, 6590, 6352, 3228, 1230, 8045, 3100, 6756, 28, 4845, 3973, 3389, 5793, 688, 2149, 3406, 305, 2298, 2291, 7034, 4490, 512, 2152, 8247, 8102, 2208, 7136, 171, 7153, 4555, 176, 3274, 906, 5567, 3000, 5410, 2947, 7205, 3385, 3314, 7054, 5510, 7109, 6982, 8218, 7100, 4910, 3979, 1741, 6470, 3629, 8211, 4275, 178, 5150, 2968, 8081, 2950, 1233, 1885, 2003, 1856, 707, 7537, 1979, 3568, 3729, 2353, 6680, 5205, 751, 952, 5792, 3222, 4248, 5452, 6734, 7719, 162, 2827, 5937, 8361, 6535, 6010, 6475, 2377, 7833, 7756, 1627, 8131, 8236, 3959, 868, 4115, 6365, 7155, 2094, 4079, 2287, 7794, 1558, 6822, 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5864, 7971, 6694, 5743, 1211, 7752, 7256, 6248, 5769, 5021, 1490, 307, 1032, 4454, 3367, 2209, 3003, 3279, 721, 8182, 4411, 608, 1351, 1341, 3070, 1851, 1053, 8350, 3437, 261, 803, 8284, 3472, 1600, 5309, 7485, 3650, 6599, 2858, 6067, 4185, 278, 7120, 3032, 7278, 7761, 2881, 4686, 653, 5393, 2720, 840, 4457, 7207, 5799, 4750, 5504, 1340, 656, 1937, 6300, 4462, 4786, 6396, 2006, 2846, 6460, 4103, 8018, 5912, 7089, 72, 5923, 7469, 6448, 5063, 5571, 5202, 8384, 2065, 5443, 5206, 2853, 3955, 7382, 5770, 2574, 4959, 6012, 2043, 1078, 722, 3630, 7231, 3597, 4675, 651, 6753, 4232, 7685, 6402, 586, 6918, 58, 6178, 5024, 2743, 989, 4747, 5170, 3099, 1464, 6474, 7517, 418, 4249, 7583, 7769, 5608, 1190, 6609, 478, 2966, 5994, 7151, 5229, 6825, 4879, 395, 3200, 5942, 6271, 3975, 5139, 8367, 2274, 5960, 4529, 4465, 4441, 4741, 6481, 5865, 6618, 1249, 4145, 4793, 3991, 7790, 1497, 3655, 3445, 842, 6633, 8409, 1263, 4740, 8078, 7735, 1907, 6643, 8133, 4805, 3894, 6521, 7106, 7049, 5549, 3298, 7326, 7413, 2736, 2623, 2530, 552, 4389, 1791, 3430, 2114, 7931, 4438, 5080, 7289, 2155, 3104, 3754, 5298, 4907, 3512, 2477, 1349, 3487, 8066, 3846, 7508, 5329, 7440, 4908, 7396, 7168, 4388, 5630, 1416, 679, 1499, 7320, 1377, 3243, 1281, 1711, 5644, 689, 8098, 1598, 2637, 6676, 5228, 5085, 1308, 383, 5492, 6236, 499, 5153, 3700, 5499, 3677, 4914, 1315, 3917, 588, 7148, 3736, 1188, 802, 4544, 4768, 1412, 5378, 6990, 3281, 5334, 3698, 299, 6843, 3284, 5709, 5360, 1167, 968, 1403, 3157, 2748, 6041, 3009, 7737, 2721, 5655, 6610, 8328, 5695, 6544, 7330, 8120, 3180, 352, 7480, 2431, 1225, 1964, 7118, 6348, 3154, 2443, 1645, 8039, 4043, 7235, 4887, 5114, 6201, 8016, 911, 4936, 1232, 2772, 729, 7117, 4586, 3680, 5750, 1486, 3328, 1939, 25, 531, 2578, 1955, 1858, 6399, 5525, 6320, 3790, 158, 823, 281, 1656, 3173, 5090, 5995, 6870, 542, 5149, 4753, 4307, 7156, 4567, 1423, 2540, 1350, 5388, 7206, 3883, 7357, 7441, 1995, 5358, 631, 6802, 7244, 4736, 2581, 4496, 2384, 6343, 3206, 7577, 4732, 2368, 3940, 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448, 2264, 106, 721, 6705, 6637, 6052, 273, 1131, 3435, 4562, 6933, 3921, 7138, 5086, 3995, 1296, 4325, 6181, 7351, 4522, 5063, 7111, 6608, 5656, 5527, 2362, 3664, 5813, 2543, 8217, 788, 3621, 1110, 3214, 7063, 7300, 5948, 5620, 1767, 1991, 2201, 3946, 5839, 4411, 1608, 3654, 2710, 3733, 3627, 4075, 3291, 3799, 5192, 55, 6462, 2980, 1903, 1041, 4913, 7254, 2308, 3776, 3120, 2974, 8354, 3994, 1771, 3536, 4218, 2295, 5334, 8158, 8260, 1307, 3462, 1751, 7754, 7218, 4155, 3560, 4245, 4223, 897, 2997, 366, 6688, 3242, 2231, 1658, 2868, 1278, 159, 2400, 7961, 2537, 748, 629, 2368, 2225, 1072, 4947, 4238, 1139, 4590, 6928, 2159, 849, 4106, 8033, 248, 5635, 3808, 2326, 5379, 5633, 3321, 7981, 3215, 1856, 736, 4551, 2247, 665, 1113, 6184, 1149, 5004, 3161, 2420, 7339, 666, 3203, 4528, 1773, 6922, 1112, 7742, 1503, 3568, 491, 2708, 1888, 1404, 4624, 1079, 421, 3873, 3334, 8206, 705, 5041, 112, 6263, 8216, 8049, 548, 4849, 3548, 6478, 7672, 2989, 1490, 138, 7767, 81, 2093, 1416, 1770, 839, 4967, 900, 163, 4213, 3065, 2471, 3769, 38, 7609, 1916, 4986, 6606, 7327, 5536, 6607, 2213, 5184, 2113, 7941, 3561, 5345, 4144, 7390, 7318, 1012, 35, 6663, 3192, 7893, 7104, 1784, 206, 1017, 7714, 7430, 6935, 873, 2202, 4977, 878, 7293, 1759, 3820, 1483, 6060, 7490, 5088, 4397, 2164, 3055, 3982, 1836, 7328, 3704, 5443, 1756, 5727, 8195, 6727, 787, 57, 500, 8420, 677, 2746, 5690, 3375, 563, 7426, 7788, 4883, 1843, 2599, 5114, 5740, 8281, 4249, 1467, 896, 3317, 1333, 7962, 2931, 7270, 3643, 5435, 6203, 2627, 308, 1305, 4711, 790, 4917, 1615, 480, 436, 144, 7880, 2381, 2652, 2995, 8098, 6952, 2724, 1060, 6294, 6870, 225, 7726, 3761, 3875, 5101, 2010, 5710, 803, 8146, 3056, 2163, 92, 532, 456, 5678, 4292, 545, 3183, 2887, 2646, 6269, 4177, 2045, 8163, 2605, 8303, 8210, 627, 6684, 2496, 5709, 3370, 6984, 212, 5077, 8351, 4787, 3610, 2359, 2586, 5442, 6662, 2977, 4553, 2742, 1781, 3513, 828, 6711, 5374, 1660, 3344, 507, 258, 1960, 4290, 6776, 5828, 7383, 4773, 1982, 2719, 3592, 2122, 4142, 2284, 63, 5060, 3391, 2105, 7107, 5487, 5791, 5085, 1222, 25, 4293, 61, 7964, 7750, 7614, 3972, 5141, 6418, 5743, 6670, 3064, 1522, 2172, 6003, 1064, 7173, 2908, 8014, 825, 2791, 830, 429, 1592, 6161, 3094, 8416, 8297, 3200, 2505, 5531, 1694, 6360, 284, 7074, 5428, 27, 3153, 5762, 4828, 2790, 6387, 391, 1538, 2488, 5772, 5771, 3719, 6070, 3934, 4025, 891, 5218, 300, 1785, 3441, 4251, 2106, 6138, 2781, 3905, 3006, 230, 764, 5023, 5291, 4584, 949, 3434, 5361, 1857, 1640, 5465, 1929, 6229, 4591, 7068, 4338, 6760, 5819, 4456, 2730, 2502, 2449, 1750, 1116, 2839, 4752, 7545, 823, 4768, 3505, 4446, 335, 3369, 4925, 2450, 1094, 1786, 4704, 2504, 5116, 6336, 2915, 2861, 5285, 752, 4010, 6804, 7561, 4578, 3518, 2139, 4736, 2649, 4965, 846, 2617, 5177, 4274, 1854, 2957, 8081, 3828, 2916, 6433, 307, 8056, 4507, 1655, 3696, 6430, 8343, 4132, 3661, 6408, 5857, 4172, 2834, 3858, 6329, 7900, 7899, 7716, 5823, 8235, 4473, 3551, 3885, 3234, 6781, 5555, 8280, 377, 8058, 2709, 1790, 4602, 6677, 7349, 7792, 3011, 1078, 5970, 2382, 4533, 2270, 4854, 99, 1576, 7377, 8006, 5681, 4962, 4122, 7766, 5841, 5067, 118, 7253, 7359, 2108, 7123, 1565, 5514, 3565, 5845, 1891, 1338, 344, 5105, 1402, 114, 745, 1635, 339, 3212, 1207, 8075, 4020, 2911, 8365, 6434, 6246, 1583, 2484, 7518, 3630, 6580, 7289, 5115, 2470, 6104, 5064, 7039, 3093, 7422, 4956, 5605, 7761, 2835, 5412, 1536, 3811, 4466, 1831, 3917, 6375, 8342, 215, 7566, 2829, 2847, 5908, 7379, 5215, 7010, 1766, 5061, 2171, 6267, 7546, 8287, 1593, 2696, 2938, 7810, 7209, 6157, 1602, 1491, 5564, 4786, 4778, 4806, 7988, 1254, 1525, 8382, 5397, 7244, 682, 7101, 6701, 7843, 554, 442, 2647, 2269, 833, 3394, 7391, 6111, 5810, 1577, 7578, 829, 7032, 4053, 1657, 1752, 8184, 8082, 637, 4763, 640, 2372, 7945, 1774, 4120, 8247, 5631, 792, 5862, 6522, 5955, 1514, 7707, 2096, 2012, 2052, 5281, 5793, 2199, 1221, 6331, 5744, 6665, 288, 4069, 2823, 4434, 7803, 3114, 4679, 2179, 3483, 1695, 2535, 5686, 2104, 5013, 5676, 7158, 3338, 4825, 2490, 1995, 3307, 1922, 264, 3319, 577, 4863, 4707, 6351, 4105, 589, 5880, 5532, 4458, 6259, 7864, 4938, 7051, 4948, 7924, 4719, 67, 8123, 5457, 5544, 2203, 8173, 1841, 5641, 7482, 7877, 2514, 4725, 4315, 7238, 6234, 7180, 6055, 6143, 7598, 3838, 5504, 3045, 7704, 3086, 4619, 4964, 2386, 8026, 5891, 8124, 2174, 6276, 131, 6900, 5346, 6676, 82, 4923, 2137, 7194, 271, 6517, 4180, 5625, 1729, 8167, 5262, 3874, 1401, 6512, 1788, 7342, 3842, 726, 4982, 2034, 4669, 3459, 6997, 2788, 5264, 4499, 3337, 3623, 3451, 5820, 4082, 1375, 3773, 1384, 1678, 6861, 2476, 3141, 4990, 5829, 4375, 6683, 7689, 2423, 1339, 8295, 7121, 2704, 8083, 2976, 1937, 3038, 6036, 89, 741, 2845, 7627, 5355, 3378, 4577, 3739, 5405, 6212, 5576, 5491, 4497, 3232, 1252, 1814, 7222, 4483, 7492, 7863, 6390, 5936, 8230, 4067, 1601, 1528, 6860, 2193, 437, 6573, 6177, 2385, 527, 8197, 7065, 2923, 6293, 7755, 1550, 3779, 5892, 7601, 8159, 4478, 2235, 1505, 4807, 4330, 4418, 3837, 368, 4910, 6272, 1600, 3438, 5732, 4398, 536, 3191, 1456, 6125, 4339, 1539, 4410, 2184, 5768, 5739, 7514, 3340, 445, 4152, 1356, 2046, 5249, 4216, 2428, 6992, 2070, 185, 556, 6694, 7759, 6520, 834, 1192, 1037, 7884, 2932, 6028, 3112, 5590, 6401, 6548, 5883, 7165, 3824, 423, 4064, 1214, 5065, 6250, 2665, 7437, 1025, 410, 801, 2522, 2608, 1021, 2639, 4090, 4208, 8109, 1542, 2185, 3682, 8187, 1643, 8236, 8059, 537, 6075, 6668, 4566, 3767, 8250, 1314, 7006, 4178, 5255, 8126, 2456, 1531, 7429, 402, 5643, 6605, 4086, 7680, 1436, 7505, 4173, 6936, 3453, 4943, 130, 1644, 5665, 11, 4444, 5197, 2619, 141, 422, 6299, 3236, 419, 5224, 5636, 502, 253, 3973, 3892, 8071, 7859, 2643, 5876, 5566, 6790, 5619, 3993, 5751, 6437, 8190, 1355, 1595, 1989, 7131, 56, 7124, 2448, 6074, 3967, 1405, 4321, 62, 581, 5182, 3012, 4333, 2983, 494, 4862, 3862, 6103, 4505, 488, 1397, 3549, 5848, 5466, 4666, 1870, 853, 3951, 923, 1302, 8144, 731, 6217, 4689, 2589, 2844, 6209, 5306, 2817, 3720, 5760, 4301, 8191, 6479, 6507, 3907, 2121, 7413, 2824, 7362, 5938, 4905, 3884, 2268, 7035, 2014, 1954, 2384, 469, 5050, 4432, 1276, 7295, 1399, 2419, 474, 7845, 4113, 7031, 5674, 6420, 1303, 8232, 7547, 1998, 8153, 1646, 5370, 5877, 706, 5550, 4130, 4665, 6875, 8100, 4658, 6819, 7879, 4518, 3262, 7594, 5946, 6763, 4343, 1359, 5528, 7236, 7393, 4228, 2411, 7, 6508, 1328, 2427, 128, 6791, 8080, 298, 5965, 7710, 2588, 6599, 2407, 2722, 8201, 5449, 5360, 7638, 3159, 7510, 3939, 1918, 5363, 4129, 5347, 6660, 3054, 8131, 5007, 3652, 7064, 1431, 3107, 1291, 6604, 3948, 2157, 809, 777, 5028, 1007, 7200, 3380, 4185, 341, 7085, 3300, 7070, 3539, 3827, 8301, 5734, 6707, 6445, 1077, 4138, 722, 325, 4963, 7275, 3202, 1386, 7423, 80, 5996, 7153, 5493, 903, 1650, 367, 7128, 3835, 2039, 5659, 8095, 4220, 2576, 836, 5302, 4901, 911, 7418, 6064, 776, 4966, 2180, 2402, 7175, 4227, 7330, 8, 2574, 2869, 4598, 5800, 6078, 3387, 1898, 5110, 7860, 5778, 5261, 1493, 4900, 4243, 3308, 7409, 1241, 1045, 3266, 4298, 2745, 6589, 1679, 7670, 1667, 3829, 5455, 6151, 2343, 3101, 2733, 8401, 4970, 2355, 2572, 4946, 4547, 2699, 5667, 4726, 3607, 2532, 742, 770, 7459, 1779, 5377, 95, 1570, 7632, 4474, 6265, 993, 2802, 1104, 5329, 8391, 7928, 1582, 7069, 881, 3276, 2491, 8204, 3580, 4851, 648, 2051, 3278, 7261, 7338, 6906, 7198, 7301, 6340, 723, 8122, 2053, 256, 8233, 7020, 2685, 84, 4662, 4984, 3359, 7515, 5392, 3992, 2849, 2336, 6996, 5238, 5884, 2344, 4561, 2935, 6112, 8181, 6482, 6389, 4928, 1165, 3, 6337, 6006, 7852, 255, 4156, 2118, 5146, 175, 4157, 6361, 483, 4745, 6811, 7255, 5213, 7057, 7555, 8415, 3235, 1261, 3859, 183, 1167, 2691, 359, 734, 2007, 7389, 7881, 424, 7162, 5107, 1212, 5767, 4542, 4682, 8125, 199, 743, 6989, 2833, 3584, 2758, 1534, 8370, 7075, 1690, 2917, 6854, 1730, 1475, 2952, 5422, 1332, 6275, 6417, 3752, 7421, 799, 8253, 1127, 4323, 5914, 6291, 7497, 1301, 7056, 2071, 4419, 4347, 6043, 7644, 2455, 4772, 5052, 917, 4879, 4968, 7257, 2074, 7629, 6650, 4616, 197, 6575, 1427, 1877, 528, 2292, 2815, 2715, 1875, 7597, 1239, 4926, 8044, 6651, 2813, 7647, 3655, 7346, 4297, 1964, 1297, 4955, 6784, 5265, 690, 1065, 4924, 758, 1674, 3714, 7798, 6038, 3613, 1005, 3013, 4769, 91, 6391, 2486, 5872, 636, 3701, 1268, 7059, 5029, 1369, 1713, 5166, 6964, 4187, 5985, 8209, 5942, 8377, 6968, 6887, 7541, 3062, 6231, 1564, 1971, 4048, 2395, 887, 4448, 1630, 2341, 715, 5723, 8149, 626, 998, 3142, 7935, 2097, 3354, 1980, 6629, 655, 2459, 7213, 7112, 8435, 1636, 2937, 2095, 1532, 2942, 7619, 7002, 336, 8282, 661, 3010, 6167, 6141, 1588, 6798, 6540, 3482, 2882, 1902, 43, 5874, 7664, 6300, 6031, 4050, 6796, 136, 4296, 2744, 360, 4671, 7552, 5336, 7820, 8220, 7769, 3217, 6891, 5888, 4870, 7171, 4052, 3168, 6892, 7221, 2361, 4550, 4907, 6174, 4412, 7024, 7076, 2948, 1900, 5509, 2351, 1281, 6739, 6595, 4698, 1508, 1315, 7501, 5231, 6613, 6748, 4525, 7456, 7848, 544, 249, 8155, 6622, 2302, 5269, 5485, 5183, 4779, 4022, 380, 6837, 188, 4620, 3559, 3151, 2255, 7448, 6145, 90, 6686, 4307, 2951, 18, 3295, 3590, 7756, 5909, 7721, 2133, 4942, 5697, 1103, 3800, 5703, 4386, 6459, 6649, 3915, 7367, 1892, 5849, 4985, 1926, 3886, 7625, 7674, 1229, 8355, 7802, 910, 2929, 452, 4164, 5321, 972, 8221, 7857, 5421, 2431, 4888, 5626, 1724, 3557, 1917, 7713, 2582, 4409, 749, 2757, 2679, 6205, 5991, 3634, 2695, 7660, 7836, 847, 7504, 1420, 3825, 3209, 4143, 4952, 3041, 1378, 6498, 6787, 5375, 7869, 5304, 3998, 680, 5208, 8311, 2762, 4331, 3138, 2217, 8406, 3170, 7590, 7521, 7303, 5808, 1894, 7727, 2677, 8428, 5271, 5701, 3663, 4417, 1085, 3500, 2236, 2364, 8161, 7331, 3517, 1256, 375, 1955, 1627, 7652, 7259, 8228, 8327, 1626, 6309, 7853, 352, 7239, 1972, 6381, 2616, 4085, 3059, 4253, 1556, 3395, 3632, 5501, 4636, 3130, 5452, 3650, 6757, 983, 2898, 6631, 4210, 14, 3686, 166, 1428, 990, 3897, 8359, 1571, 1151, 2258, 4651, 5508, 3665, 3160, 5214, 4774, 2650, 2227, 1288, 4686, 4477, 1631, 7489, 7139, 370, 297, 5607, 4987, 3022, 7933, 4128, 7872, 4093, 3174, 3469, 66, 4092, 102, 7799, 855, 3110, 6493, 5754, 869, 8112, 2524, 291, 3713, 4334, 1499, 7952, 606, 6228, 7399, 4246, 127, 7653, 1547, 566, 8290, 1287, 6100, 2752, 4367, 3421, 5788, 2101, 7106, 2612, 214, 243, 6313, 3788, 6077, 1913, 3016, 7210, 2117, 6307, 4214, 4402, 3847, 5469, 450, 7008, 8272, 1282, 3872, 5149, 2066, 7746, 4541, 3245, 1118, 5027, 3588, 8002, 1863, 5167, 982, 560, 3316, 2026, 1485, 4033, 8362, 3492, 7129, 7298, 4912, 5756, 1294, 8335, 3096, 2975, 5638, 632, 5216, 1545, 1610, 2390, 5518, 492, 5617, 1943, 363, 7796, 5295, 7748, 2155, 4760, 7155, 2924, 1673, 3831, 3277, 5220, 4116, 2240, 5878, 1681, 933, 4777, 3184, 4641, 7172, 7234, 4200, 4908, 7340, 5694, 1003, 6480, 5606, 3521, 905, 7963, 1923, 6630, 3810, 4949, 2615, 6852, 388, 4695, 8259, 2313, 6144, 3486, 6110, 6516, 8086, 2787, 2200, 5247, 309, 5649, 6625, 3027, 5234, 4515, 1145, 4664, 2467, 5005, 2274, 4012, 3464, 5898, 6365, 1758, 3015, 6054, 2613, 7483, 200, 3066, 8400, 3306, 3604, 7734, 3000, 8256, 1488, 1317, 6691, 2, 7170, 2388, 4148, 5521, 157, 261, 1669, 4311, 2510, 3247, 7628, 4119, 5978, 2930, 525, 1277, 323, 1981, 2763, 3970, 1883, 2114, 7791, 789, 5482, 2468, 3806, 5953, 6579, 7554, 3436, 1196, 2350, 3109, 2716, 5016, 6931, 2348, 65, 3488, 892, 4819, 8031, 5827, 3888, 850, 6822, 6714, 7695, 2828, 5540, 5367, 3058, 8160, 4761, 6982, 3684, 4406, 2591, 79, 3312, 863, 7513, 2186, 5075, 5502, 7636, 3514, 1015, 7417, 1050, 2192, 5429, 5478, 6057, 5763, 1828, 2651, 2927, 1292, 6751, 1691, 2996, 7753, 6543, 986, 8074, 5833, 1504, 7760, 1324, 4312, 8346, 564, 1942, 2569, 8208, 6197, 2035, 8340, 4961, 4680, 6894, 3797, 3798, 8367, 6324, 555, 5458, 7994, 3912, 3288, 8157, 6392, 4133, 2377, 2037, 5036, 6843, 1535, 6797, 6311, 2330, 2598, 2140, 2552, 1546, 1530, 4211, 4815, 5541, 4428, 3478, 6123, 6527, 4322, 4131, 6762, 7481, 484, 2349, 2578, 2994, 6529, 1168, 2392, 5221, 6429, 7182, 7256, 2954, 8213, 2457, 3726, 7220, 3031, 48, 1520, 2299, 3908, 7997, 7502, 5190, 2275, 2365, 7249, 3895, 1551, 877, 7730, 613, 259, 3681, 2670, 4259, 5731, 2760, 2897, 2820, 3641, 3756, 4628, 2698, 6566, 2451, 2248, 3582, 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8242, 6644, 3749, 2453, 2499, 1019, 6411, 7453, 3899, 4123, 7687, 7971, 2497, 7519, 1114, 4447, 7196, 1455, 190, 6345, 8154, 866, 1046, 2721, 3330, 4594, 3034, 6130, 1736, 3676, 3420, 4046, 7977, 2469, 698, 5275, 3587, 5154, 5992, 165, 5078, 6836, 8265, 1016, 1027, 8246, 5561, 490, 2175, 2317, 7167, 5430, 2176, 712, 5764, 3111, 5624, 8045, 7861, 6690, 4945, 1163, 513, 7394, 6314, 6987, 5806, 6262, 543, 1625, 4340, 350, 3577, 3381, 6951, 3046, 2452, 4439, 5614, 7539, 6666, 1385, 4197, 7292, 1348, 4699, 6908, 2222, 1765, 3692, 3962, 7569, 443, 5632, 8373, 4861, 942, 2020, 1879, 2353, 231, 7630, 6481, 1637, 4521, 1174, 2090, 4500, 7595, 5059, 7047, 5860, 2727, 1948, 172, 2750, 2464, 7496, 7081, 6415, 3830, 1511, 241, 3448, 1092, 820, 2085, 6326, 6866, 2662, 7992, 6656, 1380, 6094, 3803, 4677, 8051, 6092, 5910, 7243, 7574, 7457, 4104, 931, 1061, 3727, 6513, 5055, 1936, 2151, 3763, 4715, 4057, 780, 4163, 2466, 5093, 7488, 1928, 372, 7640, 1931, 3744, 6526, 4348, 3712, 7444, 6233, 2011, 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6986, 1520, 6846, 3088, 4099, 5078, 1774, 6021, 4679, 1372, 4991, 6507, 784, 7025, 4215, 7965, 1402, 363, 6888, 1222, 1419, 7477, 5823, 8312, 470, 4983, 4355, 5646, 7292, 3241, 6937, 6976, 7644, 1521, 3424, 6731, 3084, 3385, 6227, 6651, 6354, 6049, 7447, 3812, 1853, 5056, 1489, 7804, 7728, 528, 7314, 5566, 1928, 8099, 7452, 7754, 3858, 5353, 6940, 3014, 1587, 203, 3586, 2882, 3731, 7263, 2853, 6781, 4038, 5622, 7106, 2245, 4434, 7060, 5130, 659, 6218, 7239, 3079, 7306, 400, 5977, 2247, 4345, 7486, 1768, 4119, 797, 1759, 466, 6486, 2088, 2289, 7458, 5693, 6581, 1974, 2268, 6066, 1854, 2135, 8310, 7676, 5247, 1469, 3021, 2764, 4066, 408, 4907, 4169, 1846, 5280, 7514, 204, 4947, 5682, 818, 2936, 1533, 1348, 1576, 4262, 3110, 2028, 4869, 2037, 259, 5863, 1443, 5428, 5943, 4266, 6526, 7630, 4404, 1151, 2672, 5882, 6145, 4678, 45, 2196, 2978, 4421, 2946, 3507, 6850, 2035, 540, 6843, 6601, 2029, 1942, 5666, 7472, 630, 5517, 3953, 4165, 7799, 6613, 667, 2021, 7700, 1185, 1436, 5685, 1736, 8075, 3413, 3648, 5808, 2459, 4172, 156, 6612, 3947, 3769, 197, 7858, 4302, 6511, 7284, 2663, 24, 3856, 5426, 2467, 4749, 1164, 915, 2221, 2447, 1153, 5850, 5169, 961, 6397, 7938, 555, 6679, 6531, 462, 6835, 4784, 4595, 4237, 6985, 1494, 5748, 8204, 4371, 8410, 8006, 7217, 4204, 5436, 6984, 4674, 3188, 1866, 7977, 5539, 2884, 5250, 2996, 5325, 652, 5852, 7715, 2555, 2869, 5996, 6020, 3561, 5831, 735, 2714, 4280, 969, 1176, 2794, 7708, 574, 104, 5670, 2166, 6831, 3499, 4111, 5959, 5104, 1821, 6408, 7144, 1249, 3390, 1733, 3696, 2525, 7365, 7397, 6323, 1535, 2815, 4206, 3540, 4384, 7677, 1071, 884, 7621, 17, 2509, 7130, 997, 3860, 3576, 2797, 4752, 8266, 866, 5233, 3881, 1127, 353, 673, 3932, 1044, 1792, 421, 6529, 5541, 4789, 2521, 2305, 1806, 4912, 3113, 4051, 4014, 5643, 624, 8229, 5725, 1721, 6247, 6873, 1544, 6970, 6535, 8158, 6074, 2364, 2248, 144, 4409, 5148, 4425, 182, 6073, 5273, 1548, 1036, 6885, 6764, 2074, 7029, 5640, 3180, 7208, 1702, 815, 1111, 5981, 4274, 814, 3044, 1465, 4382, 5209, 2227, 359, 5323, 5055, 4610, 8095, 3289, 8001, 2383, 4802, 2125, 6632, 5723, 1413, 5589, 6403, 2587, 4852, 4613, 5333, 2841, 6205, 480, 6817, 930, 1592, 4746, 544, 515, 6146, 2565, 499, 4495, 5259, 4754, 6216, 6033, 5993, 2462, 484, 1509, 3448, 6864, 1032, 2148, 7358, 6562, 3894, 7954, 7211, 3794, 6955, 5402, 8406, 5151, 6704, 6456, 3949, 5680, 5847, 1625, 2276, 5588, 7056, 256, 5075, 2339, 6398, 5545, 5840, 1199, 7592, 3127, 7035, 2282, 4300, 5982, 1200, 5094, 3132, 2825, 4710, 819, 2444, 5500, 3627, 703, 1978, 3336, 6179, 6, 8192, 6910, 5177, 2599, 2579, 1392, 3852, 4711, 3560, 3718, 7900, 8147, 3931, 6124, 3220, 214, 3952, 2931, 4473, 4048, 310, 2580, 6537, 1709, 4116, 1889, 5968, 7330, 5726, 341, 498, 3053, 3583, 546, 4214, 5095, 4380, 945, 3537, 7030, 4383, 4047, 67, 5228, 7671, 1966, 3020, 2637, 4686, 7560, 4744, 7153, 2553, 4549, 5080, 2807, 6362, 4218, 1692, 5087, 4543, 549, 4435, 3081, 6898, 3926, 6095, 3293, 7283, 5348, 2044, 231, 7304, 354, 8179, 7234, 8366, 8065, 7640, 4559, 2002, 919, 5028, 6424, 5218, 133, 7512, 2621, 1390, 5673, 4753, 5359, 581, 4839, 2497, 1900, 6059, 2052, 2195, 2161, 672, 6337, 4145, 4170, 5654, 6341, 6492, 6295, 6834, 1276, 7527, 6186, 1463, 6125, 6452, 283, 479, 695, 2384, 6421, 5024, 1362, 8170, 820, 3272, 3847, 6356, 8051, 29, 3420, 2003, 5819, 3715, 5895, 7557, 516, 4598, 7520, 5880, 2746, 3348, 4592, 5305, 767, 5045, 957, 6693, 8105, 3096, 8172, 6123, 2201, 718, 7934, 1758, 869, 2546, 6102, 5639, 7771, 4715, 21, 2089, 700, 8377, 2571, 1989, 3026, 5781, 1550, 4278, 7140, 7164, 2106, 3887, 367, 8213, 1461, 7610, 1530, 3897, 1911, 3621, 4976, 6580, 5921, 1697, 5421, 5536, 5404, 2798, 639, 8101, 1680, 5716, 461, 2120, 7920, 7167, 1585, 3588, 3839, 2670, 6954, 1691, 6161, 1324, 7521, 1474, 8397, 663, 5142, 7587, 173, 3174, 6263, 7897, 3573, 6599, 793, 2862, 2959, 4071, 2140, 1753, 8339, 160, 4202, 1432, 4874, 2561, 2911, 7995, 3475, 7648, 617, 1335, 7597, 3821, 7074, 2765, 2581, 902, 6662, 5835, 3520, 6968, 4911, 976, 4747, 8003, 437, 1190, 3511, 7534, 6800, 1897, 4337, 4305, 8156, 3956, 4896, 7132, 3513, 2177, 3404, 8287, 1399, 6894, 5928, 3164, 996, 2178, 5647, 1887, 5698, 6847, 3994, 4894, 4329, 7796, 3982, 7748, 3397, 4246, 6144, 3824, 5098, 7998, 5132, 5758, 4618, 4128, 5574, 3024, 4243, 5077, 5999, 5050, 301, 1337, 4881, 1667, 7833, 2385, 4466, 3920, 7681, 1767, 8209, 6671, 5530, 609, 2241, 5994, 1938, 1671, 2315, 2987, 5955, 6805, 7583, 3902, 1162, 727, 6302, 4510, 1657, 5909, 4792, 7933, 792, 3973, 4675, 686, 2985, 7705, 1710, 8164, 6871, 1287, 7664, 4304, 1789, 8196, 3822, 26, 973, 3628, 98, 7662, 5935, 3082, 7997, 2512, 1076, 8281, 3330, 5798, 291, 2742, 6642, 5384, 2866, 2715, 7203, 6557, 4420, 218, 4624, 6497, 1023, 5457, 7908, 5389, 1931, 754, 2913, 3279, 7963, 1069, 1438, 4689, 7599, 6387, 5425, 1564, 707, 2190, 5903, 7419, 2903, 7565, 768, 2461, 6686, 1947, 6130, 6760, 2626, 5314, 3922, 3904, 1627, 4141, 2782, 4873, 1991, 7442, 7115, 5351, 2158, 2269, 3243, 271, 7549, 3346, 4400, 5256, 1633, 5985, 4242, 7289, 3194, 6002, 1829, 5347, 5905, 5007, 4626, 3214, 5825, 7668, 8031, 2713, 7772, 2139, 7366, 7378, 2433, 2217, 7791, 7602, 5624, 2454, 3942, 7038, 7866, 7616, 769, 4303, 3855, 2540, 7421, 3534, 4090, 7420, 3333, 8057, 5544, 2787, 1406, 3175, 5696, 6673, 7548, 2026, 4376, 6790, 1070, 2174, 4107, 5782, 5797, 809, 8280, 2528, 7710, 1653, 272, 4317, 3451, 943, 497, 6966, 747, 1097, 4036, 3522, 8227, 7573, 527, 70, 4213, 3155, 8301, 8236, 4826, 3650, 2844, 5609, 1253, 1181, 3013, 2624, 1230, 1423, 6067, 4121, 4562, 4766, 1321, 5263, 1708, 3661, 3651, 984, 1589, 3971, 1823, 1771, 6482, 4772, 4508, 3928, 1351, 7803, 2493, 6234, 1867, 1341, 5468, 638, 5309, 8083, 3406, 6587, 343, 6768, 1454, 308, 6961, 7091, 4498, 798, 240, 3714, 714, 8322, 118, 3483, 8291, 5971, 2046, 4024, 2122, 6718, 6371, 6808, 7089, 7891, 5286, 6559, 2633, 7092, 1652, 3724, 2103, 4608, 7393, 5497, 6075, 3410, 2735, 3210, 529, 6593, 3593, 1761, 6619, 3495, 1728, 7595, 2727, 4731, 7939, 5252, 8398, 6380, 2353, 1750, 5792, 4540, 47, 2458, 3877, 380, 1295, 7155, 163, 8019, 7277, 4760, 7502, 1205, 3527, 3637, 2395, 3900, 6441, 4973, 592, 1883, 4381, 1546, 1906, 467, 3142, 2692, 5484, 5676, 8171, 2010, 2675, 2760, 3959, 3203, 7985, 4410, 6649, 2031, 6930, 6570, 7046, 2773, 3019, 2237, 5326, 7081, 561, 4057, 6732, 6461, 4166, 7436, 741, 3980, 2933, 1786, 4771, 7439, 1640, 882, 8058, 4392, 3919, 382, 7982, 5113, 5086, 7991, 6972, 4012, 3629, 1615, 1158, 2501, 3882, 5400, 6171, 4367, 1339, 8077, 4681, 3173, 7761, 316, 959, 6665, 6426, 7068, 8374, 518, 6675, 4426, 2986, 3073, 2666, 2682, 4332, 7562, 7287, 1995, 2588, 3384, 1459, 8278, 551, 4003, 6927, 2654, 6019, 1960, 6564, 6176, 730, 5869, 6041, 6500, 3045, 2016, 1394, 6717, 7236, 1593, 2283, 7853, 4622, 1453, 643, 4293, 7355, 901, 8327, 5157, 7507, 6700, 1561, 7887, 6239, 1040, 4487, 5620, 5110, 5780, 3130, 3688, 4368, 4902, 5579, 2846, 217, 5126, 6245, 6577, 1945, 2534, 6832, 2839, 5329, 2257, 7582, 3052, 3679, 3703, 6644, 8072, 5189, 7865, 1607, 1562, 3533, 5270, 900, 2855, 6822, 2132, 690, 8026, 2404, 1237, 4118, 2910, 3126, 2001, 1285, 7200, 7556, 6483, 5941, 2789, 3632, 3426, 6711, 3137, 7831, 1403, 6264, 357, 7104, 1456, 6231, 327, 3907, 2270, 1408, 1849, 826, 1970, 7405, 6857, 1288, 1486, 5197, 7751, 905, 2061, 6228, 3791, 6389, 5602, 6860, 7822, 5016, 3571, 486, 625, 6187, 4648, 1174, 5547, 2219, 311, 5969, 5435, 7940, 1610, 998, 1142, 6449, 8089, 3657, 7713, 4140, 5542, 978, 4992, 2589, 3268, 677, 7846, 8152, 3343, 1982, 6308, 4656, 7246, 5491, 5300, 3957, 8338, 2898, 7654, 7228, 4046, 2182, 5743, 7632, 4691, 7281, 3517, 7672, 7999, 4354, 1449, 1466, 8022, 1552, 4919, 2754, 3780, 5805, 2126, 6560, 4396, 2351, 3094, 4822, 406, 5621, 5267, 4133, 1752, 9, 7213, 3152, 6826, 846, 5952, 2082, 5112, 698, 665, 4373, 4000, 539, 7570, 1418, 4804, 3757, 115, 2386, 3254, 5940, 4117, 6523, 8288, 5021, 2896, 6459, 2252, 857, 7297, 6751, 7569, 5558, 1517, 108, 5891, 3950, 834, 449, 807, 255, 2510, 6713, 6646, 5834, 1228, 5712, 1141, 4585, 3471, 5196, 3613, 2907, 2009, 1899, 2661, 6427, 4343, 7530, 5637, 8390, 2613, 6091, 6360, 8273, 2328, 6886, 6555, 568, 2833, 835, 4093, 602, 7691, 2865, 3083, 5531, 666, 8136, 7453, 4939, 3199, 7667, 6329, 596, 2740, 7047, 3307, 4927, 2952, 5597, 6855, 3187, 5160, 2720, 841, 375, 4086, 1121, 3884, 5615, 5578, 5472, 1764, 7721, 372, 8074, 5907, 1902, 122, 5432, 1365, 6668, 6628, 5851, 1345, 7315, 4007, 6936, 607, 8237, 6013, 8029, 2995, 2096, 4257, 5931, 6881, 1933, 3594, 2851, 5318, 6895, 3070, 302, 2484, 3165, 1952, 2223, 4705, 1642, 4834, 3642, 339, 90, 6235, 1206, 4702, 2888, 1707, 43, 2144, 2681, 5470, 1393, 764, 3841, 3705, 2559, 5923, 3743, 3232, 2838, 7266, 424, 5020, 8267, 4173, 3694, 4957, 7385, 4977, 751, 853, 1487, 824, 7943, 3559, 7392, 4150, 1575, 5859, 3366, 6706, 2017, 7875, 4149, 883, 4524, 6554, 2020, 5953, 671, 4189, 1712, 5205, 8389, 2019, 5690, 5956, 5453, 7334, 7321, 2805, 4310, 3850, 4180, 2303, 1836, 6550, 629, 4888, 6887, 4249, 8253, 4813, 5540, 1476, 8323, 6467, 1523, 4953, 979, 4502, 5173, 3720, 4940, 8272, 1528, 430, 3464, 762, 3664, 1824, 4847, 3345, 4268, 6343, 3556, 4840, 7258, 6596, 374, 5828, 1273, 3204, 4773, 7542, 5755, 4056, 7655, 557, 6685, 4197, 219, 6547, 369, 3961, 8413, 2849, 993, 7692, 3153, 2544, 8303, 7930, 2686, 7497, 4538, 2974, 6491, 6957, 5170, 254, 684, 4328, 3124, 6450, 4462, 2000, 39, 3344, 1405, 6702, 7137, 4070, 3993, 7993, 4287, 5557, 7126, 2272, 2628, 956, 5925, 2053, 2318, 2899, 4068, 7493, 7491, 7465, 7014, 6048, 4970, 4725, 5392, 4616, 440, 3725, 1107, 7871, 6120, 702, 7757, 7221, 5258, 6375, 3186, 1334, 3777, 7406, 5635, 7396, 1085, 2871, 1967, 1855, 3542, 1800, 868, 7088, 4358, 6641, 1744, 1220, 5877, 317, 3439, 7474, 6417, 6096, 7095, 4079, 7016, 4005, 7789, 7619, 8337, 4082, 4499, 5317, 1293, 3638, 5017, 7811, 3853, 7006, 252, 8185, 2576, 4230, 6948, 2214, 1746, 1327, 4480, 2929, 1227, 6496, 4041, 7841, 2502, 8076, 7071, 7483, 676, 6034, 4168, 276, 5458, 2213, 4845, 3111, 2042, 5707, 5946, 7596, 5722, 4018, 4670, 3295, 5434, 6110, 36, 3733, 370, 4439, 4463, 3089, 193, 4301, 4433, 2640, 8033, 2284, 4185, 7765, 3376, 4452, 6747, 4238, 5657, 3181, 1514, 1417, 2878, 2285, 5560, 2991, 83, 7675, 4102, 5394, 1944, 3798, 4536, 6690, 7461, 909, 5681, 2492, 1688, 541, 4039, 5011, 4092, 274, 7226, 2857, 1057, 2347, 6650, 4837, 6422, 2322, 8333, 1152, 3519, 2925, 7816, 4255, 6770, 5411, 6876, 8393, 459, 2327, 96, 8279, 2281, 3729, 54, 7242, 723, 8305, 3789, 2324, 7033, 7020, 5806, 8135, 6413, 5274, 3468, 3784, 2338, 5737, 892, 7855, 1197, 5081, 2317, 2164, 2821, 5344, 5032, 114, 4671, 3057, 3948, 6661, 2890, 7476, 6627, 4669, 6697, 2366, 4781, 658, 87, 5910, 3205, 780, 7709, 4788, 1329, 2543, 7508, 5115, 6637, 3837, 5532, 598, 8230, 4475, 1308, 7376, 5820, 3734, 3265, 6174, 6155, 608, 4830, 4867, 722, 612, 6326, 1131, 8195, 2836, 1614, 3064, 3772, 8255, 5699, 7494, 3395, 2774, 186, 1964, 2101, 7501, 5145, 6100, 1008, 4525, 7451, 5473, 4856, 5948, 40, 3870, 7706, 688, 5467, 4008, 4868, 5998, 8117, 260, 1930, 281, 7237, 64, 1532, 4453, 649, 2604, 3248, 2469, 3432, 6463, 5668, 4109, 2296, 3491, 2043, 6107, 1790, 4178, 7250, 2574, 3748, 3300, 2362, 1473, 6515, 7639, 1068, 2381, 2051, 7901, 1338, 7673, 2923, 2770, 7044, 3590, 435, 4532, 2935, 7271, 6253, 7432, 6698, 1948, 6373, 1975, 3843, 7884, 365, 5442, 5702, 5053, 8184, 1835, 5163, 4617, 4612, 3086, 7059, 1840, 2667, 6193, 4968, 4816, 6725, 8353, 139, 399, 3943, 3445, 1122, 5772, 4201, 1515, 3435, 6615, 1246, 6837, 1238, 5848, 4196, 2456, 4054, 2138, 2054, 5630, 4810, 1527, 6393, 7008, 1309, 2411, 640, 4797, 6594, 6913, 5973, 194, 5669, 1554, 5932, 3198, 151, 6607, 1876, 1245, 5191, 3177, 3143, 939, 251, 4131, 5449, 4115, 2192, 7426, 6796, 7775, 4443, 2202, 2218, 3357, 3510, 3815, 1168, 153, 2799, 4224, 7722, 8437, 6841, 828, 904, 2130, 7814, 4137, 5614, 5962, 2664, 2036, 7063, 7407, 409, 570, 3247, 313, 2831, 6282, 5479, 100, 456, 1804, 6618, 7645, 8215, 1009, 5415, 1186, 2159, 1886, 6672, 6720, 4132, 2128, 7078, 309, 3260, 3707, 2783, 3630, 5610, 2750, 51, 50, 2321, 3639, 8320, 1884, 5373, 5041, 2310, 4801, 611, 8430, 5757, 5319, 7220, 332, 6726, 8059, 6540, 4652, 3166, 4905, 6369, 3197, 5462, 2279, 5626, 1658, 1586, 509, 1011, 3347, 2683, 2134, 5246, 6520, 833, 4320, 5377, 3049, 4962, 7240, 2566, 3270, 1384, 2176, 2972, 3765, 4222, 832, 4843, 2550, 613, 1534, 2483, 4748, 4470, 7348, 3150, 303, 3116, 6094, 5711, 4547, 5509, 1067, 2406, 6000, 621, 1075, 6157, 917, 3080, 5116, 4326, 5019, 7543, 6143, 5511, 1965, 894, 5063, 7932, 2455, 2065, 3060, 3093, 85, 758, 2086, 2519, 6288, 4743, 8045, 7766, 543, 5367, 5658, 6797, 7199, 7422, 5330, 586, 6922, 4527, 2470, 2503, 1379, 3842, 929, 8080, 4716, 5376, 1278, 1046, 6261, 2989, 5623, 5631, 679, 8161, 6379, 6324, 2180, 7586, 7362, 5168, 3738, 4192, 6833, 5596, 6382, 7186, 8027, 2249, 4154, 1430, 4129, 2575, 3883, 4806, 3996, 261, 1659, 7838, 785, 2067, 2251, 7531, 5512, 1890, 7247, 3967, 6270, 7303, 6621, 1424, 3098, 7551, 4892, 3898, 7170, 6464, 5073, 1292, 2069, 1920, 1082, 7076, 6077, 1843, 1830, 7386, 3937, 709, 7678, 4838, 7293, 3756, 689, 2097, 7524, 7817, 5043, 2776, 886, 5811, 2152, 5774, 4737, 1877, 3460, 4282, 7869, 859, 6917, 1062, 4372, 2087, 771, 5689, 8408, 7513, 8062, 3991, 1791, 878, 7026, 5388, 6879, 2432, 4438, 2230, 6819, 5083, 1214, 4485, 2948, 4349, 821, 1582, 6340, 1579, 3250, 6376, 4044, 1100, 932, 5120, 4889, 7634, 5070, 864, 3001, 2840, 6742, 2533, 5251, 5778, 2050, 6563, 4577, 7267, 4740, 4561, 6007, 1098, 6394, 4147, 7749, 2363, 3530, 4241, 1605, 7779, 8357, 1891, 4941, 7537, 985, 3068, 5412, 6818, 5881, 1885, 1983, 2334, 7166, 5591, 5559, 7949, 8400, 5800, 7836, 5257, 2326, 5628, 4223, 7545, 7373, 3673, 2330, 8063, 5803, 2736, 7658, 5691, 8056, 3310, 3379, 8002, 7971, 720, 1888, 3381, 8037, 7058, 7182, 6072, 3450, 519, 4022, 4252, 1673, 6810, 7760, 5949, 4146, 3735, 1192, 7117, 8264, 3761, 4567, 6539, 1376, 6076, 3889, 3215, 3037, 4074, 145, 5229, 3351, 4084, 2535, 250, 5601, 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3065, 590, 7143, 3372, 6824, 2090, 6608, 2333, 1788, 1191, 3738, 6260, 2871, 4401, 3811, 7212, 5569, 558, 3265, 2213, 6033, 1305, 5081, 125, 2189, 169, 3918, 5293, 6567, 2809, 3414, 3405, 4122, 3916, 1566, 5351, 139, 4764, 5514, 6490, 2208, 7259, 1595, 7920, 3749, 5232, 7894, 1543, 3549, 7675, 6259, 6746, 103, 658, 2845, 4309, 5632, 3075, 4701, 2046, 2339, 4715, 5953, 2350, 6117, 8056, 312, 7928, 4631, 2917, 423, 5856, 7163, 1599, 5714, 8083, 603, 3030, 365, 842, 1508, 4729, 7333, 2106, 570, 3836, 7423, 4299, 324, 600, 7433, 3138, 1779, 1436, 2795, 2292, 7107, 4361, 2786, 968, 6055, 6897, 5574, 7361, 3944, 3837, 2398, 1592, 7296, 6684, 3572, 1583, 2838, 990, 7139, 3777, 6586, 150, 7743, 1684, 5069, 130, 4293, 7742, 2966, 2340, 6982, 3145, 462, 14, 5265, 266, 2021, 1552, 3129, 5555, 4813, 6124, 4953, 4707, 2968, 6724, 5658, 1365, 55, 3506, 1375, 7514, 7008, 4448, 4369, 8224, 1266, 5134, 5417, 2450, 1550, 4400, 1936, 85, 2238, 3662, 6279, 5190, 2179, 1418, 6374, 4135, 1954, 3992, 1247, 4657, 5377, 4505, 7522, 5704, 2991, 6027, 8006, 1975, 7629, 6593, 6010, 1981, 8215, 954, 2867, 1479, 2886, 3217, 195, 815, 925, 1244, 3238, 7685, 5137, 8125, 8098, 1757, 2295, 5770, 5469, 1996, 1953, 5967, 3051, 2203, 6004, 5296, 5251, 2669, 5823, 4260, 4315, 5189, 4879, 1014, 4992, 104, 3018, 747, 5220, 3610, 2760, 4232, 921, 6999, 5241, 3415, 4819, 3919, 2507, 3433, 4201, 1535, 263, 8031, 4233, 8041, 1170, 7805, 701, 5915, 6957, 1474, 6822, 96, 1397, 5060, 1100, 4779, 78, 7721, 7483, 5345, 7562, 5697, 8069, 1322, 1544, 7688, 5612, 1294, 6938, 7813, 755, 3814, 1886, 6100, 655, 8201, 6433, 6796, 5223, 352, 7313, 4528, 6645, 834, 2686, 7402, 5311, 7436, 6565, 5147, 1387, 8217, 6826, 5070, 7348, 4304, 3806, 2503, 7132, 2529, 1869, 6403, 6439, 387, 5178, 6758, 4585, 3480, 4006, 3561, 4552, 3603, 8054, 6176, 4252, 5006, 5246, 5892, 3174, 3084, 3768, 1456, 8360, 1979, 3923, 7506, 5112, 2356, 5165, 5062, 8415, 4620, 149, 7840, 8278, 4965, 4132, 1399, 3598, 6572, 5323, 3210, 3886, 6313, 6863, 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5218, 8264, 5599, 2096, 816, 6026, 7727, 1131, 679, 331, 7240, 2905, 8178, 7775, 3087, 57, 3164, 4083, 5769, 2362, 4157, 563, 3064, 6489, 8128, 8425, 488, 1732, 2244, 4885, 5072, 6739, 4897, 8165, 1832, 712, 489, 5306, 4921, 5393, 75, 3526, 693, 6470, 1877, 4507, 3787, 7531, 5821, 297, 5324, 4869, 7818, 4362, 6387, 3081, 2041, 5476, 5281, 4491, 2018, 1838, 7347, 6367, 7298, 2577, 3445, 5090, 3614, 3631, 2712, 3486, 5884, 1351, 4108, 6064, 1092, 1189, 281, 172, 7209, 7579, 6815, 2265, 1746, 2924, 3240, 4882, 6624, 6458, 2944, 6462, 6553, 6277, 6719, 574, 8035, 8275, 1253, 6979, 8177, 8137, 2464, 7146, 4792, 8004, 3545, 4856, 7871, 5544, 5407, 6901, 7974, 7558, 2416, 2071, 734, 7694, 5542, 492, 8302, 4512, 7092, 7069, 7598, 7035, 4610, 4134, 527, 4040, 6657, 2348, 3160, 1072, 682, 2012, 2255, 2164, 334, 5627, 604, 3951, 7704, 1756, 5436, 3006, 1726, 4141, 778, 7148, 6672, 64, 8326, 8080, 2858, 541, 1493, 3305, 2110, 7519, 6534, 1302, 6549, 5026, 319, 1301, 7288, 1228, 7663, 5181, 2499, 5319, 4077, 2907, 5170, 6330, 2368, 2515, 4013, 4999, 4188, 3788, 8163, 5577, 2411, 7311, 2658, 6675, 794, 1051, 5738, 7624, 1644, 4485, 685, 7047, 6021, 3278, 1023, 3678, 2763, 4874, 1890, 7278, 699, 7442, 4624, 2316, 3045, 7565, 3755, 5196, 5383, 1993, 5780, 4842, 6867, 4019, 6665, 5556, 3827, 2032, 2335, 4060, 7594, 1037, 1297, 6986, 6337, 550, 8381, 5553, 5928, 1870, 5764, 5643, 1607, 7830, 5066, 5185, 4826, 413, 5488, 8340, 167, 5040, 4498, 4534, 3222, 7463, 7162, 7736, 1868, 6331, 7909, 6459, 4212, 5113, 5969, 3927, 3725, 145, 7998, 3499, 2023, 2064, 3358, 4078, 2531, 8161, 2785, 2440, 4371, 1989, 3905, 5123, 2736, 694, 6886, 6653, 2175, 3643, 6056, 1671, 4370, 4930, 2045, 2103, 3742, 4243, 8429, 3057, 3017, 2095, 676, 6083, 5749, 7128, 8319, 3431, 4133, 3307, 421, 741, 397, 4913, 8369, 481, 6273, 499, 3995, 4858, 7337, 5273, 3083, 3101, 1374, 6749, 2727, 4227, 2436, 3801, 7626, 7377, 207, 2653, 7547, 7900, 4125, 7269, 3421, 2960, 7392, 8433, 5913, 2769, 2879, 3735, 3867, 2364, 7470, 7744, 4030, 6589, 1828, 2453, 4927, 1693, 1525, 8118, 4245, 2764, 6005, 7581, 5502, 6837, 774, 1750, 1782, 6915, 1590, 1506, 3748, 7025, 8383, 1130, 5935, 4055, 7142, 1519, 4300, 3829, 4451, 6353, 6805, 4761, 3562, 7635, 463, 3966, 540, 307, 6779, 1835, 1646, 3310, 6500, 5141, 3996, 4209, 3804, 6846, 4853, 5120, 8052, 1879, 7324, 113, 5327, 4275, 1128, 6907, 5366, 332, 6995, 4197, 555, 3521, 4142, 7370, 6890, 265, 6900, 6709, 861, 6637, 2445, 6298, 8268, 5617, 6373, 5167, 5593, 7467, 2337, 3104, 1513, 6443, 7264, 3412, 2614, 8408, 6322, 2357, 7472, 4890, 616, 5678, 5039, 6925, 60, 2742, 1102, 5390, 4577, 7654, 534, 478, 7589, 7906, 5485, 737, 3891, 1011, 770, 8403, 4425, 5061, 2572, 4161, 3275, 1261, 5497, 7973, 5619, 4171, 4024, 1609, 5528, 6698, 6833, 6407, 7640, 2168, 3910, 2426, 1852, 4968, 2278, 8291, 858, 5464, 7628, 3722, 6164, 7537, 2374, 8053, 5968, 7256, 5862, 1548, 5398, 3779, 8234, 1308, 114, 6744, 2384, 2542, 1988, 539, 820, 4710, 2598, 7215, 2281, 4308, 1409, 2122, 1062, 1116, 8079, 6297, 3216, 4973, 7171, 7619, 1269, 8065, 1134, 1061, 1030, 1310, 1292, 1018, 667, 4908, 6504, 1884, 2231, 304, 5411, 2734, 6514, 8384, 3805, 3398, 6101, 7225, 3019, 6088, 3828, 2560, 1881, 5268, 1930, 1822, 8351, 7910, 6853, 3121, 1325, 1639, 6139, 5142, 4511, 3679, 7985, 1174, 7931, 6587, 3534, 4526, 4590, 2011, 279, 2397, 5540, 3557, 7040, 5247, 1480, 4297, 5596, 6232, 4048, 5229, 6254, 6942, 6418, 2730, 5533, 6261, 2052, 1839, 3757, 1248, 5522, 1672, 1448, 476, 6966, 669, 3605, 8196, 1980, 3342, 8122, 689, 4405, 2584, 6816, 3133, 253, 3254, 1703, 2349, 6678, 501, 1833, 3620, 7719, 3450, 1024, 1867, 1682, 4978, 3588, 1940, 7834, 2035, 5320, 1382, 3195, 2273, 7125, 1357, 5958, 1070, 2908, 174, 6598, 2964, 2796, 6480, 6395, 1650, 3617, 1455, 2424, 5535, 1194, 6396, 70, 2237, 1904, 2638, 6543, 4129, 4349, 8316, 5054, 2285, 5154, 2992, 2477, 1576, 5500, 3576, 3702, 7883, 1298, 7899, 8240, 7191, 3279, 1892, 3554, 5787, 7295, 5484, 5637, 8376, 2699, 5887, 6287, 2692, 8313, 3567, 7123, 2738, 1796, 5498, 2145, 8120, 2574, 448, 4719, 7544, 210, 127, 5379, 6029, 7574, 3271, 8277, 5133, 7456, 2367, 7972, 7888, 1151, 5349, 2940, 3931, 864, 5667, 7474, 7942, 3709, 7014, 5153, 6561, 2406, 3824, 5885, 8272, 8045, 8076, 4588, 5357, 1392, 2059, 4554, 2360, 2457, 2840, 3577, 7250, 2961, 6962, 1168, 6280, 2545, 7839, 7823, 4354, 2201, 5431, 823, 3385, 81, 441, 6825, 1395, 4335, 2498, 1165, 4051, 6588, 5727, 3746, 8410, 5305, 4195, 680, 4015, 4700, 8075, 5092, 5895, 3930, 5526, 3381, 3993, 3713, 2696, 5744, 4834, 6888, 6577, 7226, 3321, 5985, 1229, 512, 1347, 2514, 8002, 487, 5200, 3169, 5682, 1027, 7595, 4423, 6240, 5734, 3149, 5338, 3177, 24, 7792, 6644, 6292, 1257, 6153, 383, 4924, 1404, 3336, 8354, 72, 799, 6761, 6503, 6911, 468, 5344, 4323, 5883, 4127, 544, 8011, 4769, 5948, 47, 838, 6972, 1008, 4226, 1215, 7676, 1622, 2923, 578, 6866, 5230, 4397, 2559, 51, 7752, 5068, 3203, 7267, 4693, 7808, 1911, 565, 3511, 4763, 2128, 1021, 63, 6096, 1502, 4655, 3861, 5636, 5473, 4053, 6651, 7346, 5962, 45, 583, 6371, 2287, 4047, 5911, 7410, 3871, 5810, 2642, 2833, 6912, 4608, 5972, 6742, 5275, 5716, 6990, 4100, 5508, 5318, 1542, 7056, 7167, 7437, 86, 2641, 6734, 4783, 3309, 4427, 2261, 4948, 6501, 621, 7815, 5949, 6150, 2981, 3744, 193, 6861, 2289, 6370, 4140, 6032, 6102, 6980, 4711, 6454, 3645, 7975, 6794, 2239, 932, 1306, 1808, 5084, 3473, 3158, 3602, 373, 3290, 706, 5460, 6251, 8220, 7432, 1882, 5494, 4915, 3593, 5789, 6889, 5376, 3351, 5518, 4627, 5608, 2156, 4848, 3630, 1501, 4116, 430, 4781, 5779, 4557, 4374, 2020, 447, 1252, 2629, 46, 1837, 7603, 7652, 2511, 234, 3639, 5228, 5394, 7489, 3978, 1790, 2133, 7412, 1912, 2279, 3494, 5139, 5925, 271, 1585, 7179, 8309, 3589, 2902, 4107, 2185, 7381, 1716, 3389, 7268, 2098, 8109, 1951, 3820, 7684, 5674, 2184, 5206, 6516, 1628, 5983, 2017, 6357, 8060, 7484, 6649, 7070, 2523, 5254, 5105, 4875, 400, 5020, 505, 2750, 1076, 4026, 7778, 3026, 67, 2776, 8032, 2812, 2469, 3010, 587, 4957, 5767, 7106, 2703, 1752, 1437, 3461, 5358, 5467, 389, 1416, 5256, 2878, 7389, 966, 7465, 1307, 5202, 4757, 3935, 480, 2396, 2945, 8335, 7216, 8071, 7994, 7876, 1923, 3403, 2798, 4224, 5723, 4909, 535, 5491, 6435, 5592, 2550, 2048, 7691, 4278, 4843, 5425, 8427, 2746, 299, 4137, 2198, 7097, 6291, 1564, 3863, 8174, 1321, 7827, 3219, 771, 2880, 3565, 6777, 7502, 5369, 5999, 292, 7046, 6411, 2117, 2361, 1063, 7134, 4150, 3116, 2074, 3583, 1524, 3712, 2770, 434, 1161, 87, 2929, 2979, 5669, 4396, 4042, 2086, 5413, 6289, 3390, 2134, 7220, 1748, 7169, 455, 1268, 7559, 7647, 3967, 5854, 6013, 1580, 3352, 2822, 3031, 2501, 5375, 6314, 1998, 7033, 7886, 2836, 2232, 108, 2132, 6494, 5748, 102, 3739, 2127, 4268, 7460, 6057, 4904, 5951, 3715, 5027, 8432, 189, 7373, 7083, 118, 7803, 2085, 8, 8182, 6065, 3460, 7366, 6609, 5581, 8418, 2468, 812, 2000, 1584, 5, 6783, 3277, 6095, 6870, 7989, 2290, 2058, 5225, 6479, 1971, 2716, 7953, 1510, 515, 5237, 4556, 6814, 7262, 1725, 4861, 1662, 5694, 8147, 2119, 1710, 1826, 547, 2352, 684, 1944, 2887, 899, 1816, 7546, 5257, 2681, 6171, 5384, 3027, 4673, 6105, 1919, 6836, 1690, 2005, 7004, 1593, 6681, 4911, 182, 7992, 4510, 7578, 6397, 5690, 628, 4775, 1849, 933, 62, 5989, 605, 376, 4130, 3479, 4912, 6985, 5547, 5058, 3332, 5180, 4255, 8261, 2003, 105, 2628, 8421, 2434, 6275, 532, 426, 4823, 8307, 1821, 2682, 4742, 8244, 3286, 5629, 3964, 6123, 5086, 2587, 5950, 4609, 1744, 106, 5805, 2407, 4877, 2937, 2986, 3059, 1263, 4962, 4638, 810, 1230, 4665, 5238, 1697, 4578, 6923, 4240, 1138, 3312, 1574, 3672, 4114, 6235, 2650, 3114, 2152, 4731, 3182, 602, 222, 4682, 7737, 374, 6908, 4958, 1112, 6252, 3166, 371, 6905, 1137, 5475, 2877, 6848, 3384, 3555, 3472, 6511, 32, 345, 6219, 2079, 1300, 5207, 6067, 6916, 2009, 3866, 3981, 7919, 3794, 6035, 8153, 1026, 4767, 6148, 39, 5505, 1299, 8404, 5799, 5570, 5047, 2935, 5833, 6747, 8133, 1695, 163, 2814, 3587, 7397, 5010, 6811, 2113, 4445, 5368, 1780, 5688, 428, 1925, 2483, 8124, 4642, 4005, 4296, 4433, 6509, 3815, 1596, 5451, 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2190, 1277, 5664, 7658, 904, 4504, 651, 1422, 6354, 2026, 1905, 6006, 5539, 607, 8084, 3904, 5907, 3673, 4546, 6377, 294, 2331, 7236, 3551, 7341, 4636, 7726, 1353, 5217, 3408, 687, 7708, 2970, 5032, 3383, 8106, 7949, 835, 7687, 227, 886, 7779, 50, 1355, 5504, 6521, 1709, 4975, 7080, 3517, 6052, 8213, 2389, 1408, 1848, 3406, 2952, 6356, 8138, 99, 4809, 1976, 1562, 1670, 3417, 1901, 3922, 8144, 7750, 928, 1118, 5395, 4312, 6605, 4583, 6264, 4294, 471, 6134, 1737, 7113, 7780, 7478, 8047, 6121, 824, 3117, 1906, 4012, 5523, 6994, 6732, 458, 7223, 3295, 8420, 1530, 4463, 344, 5245, 6810, 1553, 7858, 3763, 456, 5880, 8029, 2202, 7378, 2194, 4332, 4545, 7031, 917, 8238, 3539, 5429, 2277, 3393, 243, 5101, 924, 5863, 2731, 5470, 3105, 3491, 1328, 1484, 2744, 7509, 4518, 277, 2592, 1680, 3086, 5195, 3339, 8116, 1241, 8005, 3350, 375, 1863, 762, 7476, 2114, 3848, 3067, 2994, 8352, 3971, 5584, 4355, 8117, 3531, 5724, 870, 1991, 7287, 1498, 5975, 5683, 8164, 1324, 1250, 21, 4317, 4286, 3703, 185, 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3080, 6199, 1579, 8211, 2896, 2303, 4871, 5169, 7454, 4673, 2630, 3306, 4725, 6163, 3273, 1739, 1356, 4717, 3501, 2996, 7852, 690, 4955, 3644, 2426, 1044, 202, 5625, 1413, 267, 4854, 3858, 1740, 5393, 6007, 6211, 6048, 13, 1312, 6802, 2425, 6584, 8096, 2250, 2238, 5984, 5976, 5816, 3468, 6892, 6803, 3909, 2832, 0, 8220, 7158, 470, 1920, 2547, 1766, 6250, 775, 2880, 427, 8177, 5752, 4607, 4793, 7589, 3895, 7044, 7941, 4453, 7203, 4606, 1006, 5809, 4571, 7021, 6899, 7166, 4892, 5067, 1396, 2109, 6697, 1798, 8183, 7222, 3899, 5134, 1970, 8431, 6179, 3541, 4636, 7509, 8043, 2112, 6367, 1163, 4833, 6017, 4161, 7234, 8329, 6583, 52, 7865, 3206, 6234, 5461, 5713, 1404, 5812, 1582, 2350, 299, 3586, 3249, 5974, 4707, 5767, 5453, 8130, 2890, 5426, 7906, 1307, 3189, 6993, 8016, 1540, 5224, 6380, 4843, 5010, 3630, 5858, 2157, 3869, 4417, 2808, 3407, 2057, 6976, 5208, 7138, 7268, 4431, 9, 4297, 1046, 1592, 2526, 22, 4716, 2258, 4482, 1953, 4155, 1733, 6776, 2739, 2118, 4685, 2375, 8342, 7231, 2858, 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2952, 6880, 4830, 4618, 7242, 5842, 5861, 5176, 1563, 7495, 6472, 7145, 7483, 3650, 3376, 4913, 8268, 6661, 1770, 76, 3528, 8170, 1553, 8368, 8323, 3238, 7331, 3070, 5380, 28, 4215, 2648, 7441, 4663, 6847, 6645, 7942, 163, 5378, 1787, 408, 4602, 4107, 4984, 4804, 3280, 7535, 7953, 7209, 3483, 55, 6105, 5572, 350, 5532, 2551, 4126, 6824, 297, 398, 5820, 1268, 318, 3385, 6767, 3793, 2895, 8394, 792, 94, 7925, 3551, 1218, 2182, 4306, 4102, 5617, 8150, 7141, 485, 4786, 702, 5452, 6834, 2991, 1025, 945, 3767, 4928, 273, 4426, 591, 6239, 3934, 7918, 5891, 7195, 2633, 6687, 1274, 1139, 3968, 1126, 4853, 1551, 1233, 5631, 2256, 2696, 3552, 2612, 4029, 6274, 5958, 6419, 6553, 235, 6134, 1366, 1615, 5480, 3506, 2269, 1893, 3810, 7526, 767, 1175, 5232, 1052, 4434, 1471, 7303, 8341, 3902, 6585, 5678, 6935, 1472, 4433, 1363, 1904, 4511, 1060, 2669, 7879, 7645, 3653, 7724, 1897, 7930, 2819, 1132, 3001, 8306, 1840, 2829, 940, 807, 5128, 4545, 3982, 3585, 2869, 6515, 2812, 1987, 6082, 4983, 1155, 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5962, 7103, 1696, 6630, 1612, 3713, 3716, 7552, 5779, 7159, 3445, 4559, 1577, 2105, 7003, 8207, 1895, 6006, 6181, 4085, 6169, 613, 2026, 8241, 3819, 4801, 3801, 8413, 2784, 7107, 5998, 2514, 7499, 2702, 5783, 5151, 6664, 1183, 5324, 5772, 7417, 8185, 5724, 4081, 687, 6960, 3560, 3481, 4946, 5342, 5959, 5218, 7089, 288, 691, 4248, 48, 3918, 8053, 6054, 8098, 6550, 1609, 8227, 3962, 5881, 423, 7334, 3604, 5280, 4348, 4821, 2138, 2888, 3690, 4217, 2097, 973, 2100, 1161, 4823, 6790, 7440, 5711, 3322, 1844, 7745, 813, 7908, 3053, 4888, 5241, 3255, 5736, 4536, 7594, 3774, 8086, 268, 69, 760, 291, 7033, 3661, 4006, 5096, 2376, 72, 596, 5494, 731, 7162, 3798, 1636, 3583, 20, 1082, 6297, 1257, 1453, 1480, 2582, 1630, 7762, 7409, 1555, 5183, 5754, 6095, 7716, 1663, 2474, 6101, 5206, 3193, 4088, 6453, 5082, 626, 4931, 5320, 7881, 8221, 2995, 6963, 5995, 8038, 968, 3916, 4241, 54, 7362, 8157, 1411, 3880, 676, 6915, 5973, 253, 5677, 8389, 2193, 989, 3422, 366, 6898, 6559, 4042, 4897, 4943, 1659, 5220, 4387, 8419, 3046, 2145, 7824, 1518, 5857, 1365, 3617, 6370, 7754, 5132, 474, 6666, 1965, 8007, 7696, 199, 4527, 8322, 1972, 6794, 990, 5731, 5064, 8099, 2436, 776, 689, 6019, 1171, 3146, 4112, 5337, 1997, 5873, 8344, 1348, 3864, 2045, 6356, 2986, 6427, 2469, 1121, 4586, 5924, 2925, 2252, 1474, 8407, 605, 6619, 5359, 1887, 2306, 1568, 1823, 808, 2909, 4754, 4514, 4443, 4086, 2456, 4577, 3316, 4591, 2933, 3965, 8401, 7139, 5776, 473, 1349, 1873, 5221, 7424, 7856, 3937, 5992, 420, 4617, 3817, 5732, 8194, 1502, 2617, 3535, 4771, 8201, 1434, 3584, 1693, 1565, 6492, 7969, 7420, 3812, 3622, 3488, 7477, 7494, 4572, 8226, 2379, 7400, 3728, 536, 4826, 5529, 8351, 6945, 2055, 1758, 5323, 7946, 8174, 3526, 7470, 4179, 412, 4381, 1294, 4554, 5523, 4907, 2509, 2416, 5603, 3699, 6195, 3149, 5689, 1230, 7720, 492, 6709, 2919, 359, 1285, 900, 3695, 3891, 1543, 8294, 3703, 7525, 1496, 5748, 3370, 4721, 6044, 4258, 4378, 8244, 7861, 184, 7366, 6543, 1545, 870, 4046, 2079, 3240, 5943, 3859, 8228, 2498, 6237, 5890, 3031, 3162, 7815, 3112, 1880, 3121, 2936, 5728, 1128, 6832, 1468, 7180, 6354, 2569, 1918, 639, 5112, 1883, 3963, 6762, 442, 520, 4213, 3841, 678, 465, 3334, 5417, 8289, 543, 3348, 6712, 3851, 3194, 3085, 2656, 2773, 2408, 1399, 2961, 6965, 4071, 1334, 4061, 5001, 7135, 1816, 7727, 1665, 1004, 833, 6447, 3152, 818, 4220, 347, 7287, 1009, 7066, 7811, 969, 3230, 7285, 6468, 5938, 1721, 5705, 5475, 4021, 585, 217, 6524, 2190, 387, 958, 2837, 6319, 1707, 7188, 7001, 4421, 1010, 3324, 6251, 1189, 3679, 6292, 4056, 3317, 154, 3148, 5571, 2863, 3277, 4305, 2335, 2525, 4775, 3478, 3143, 6924, 7560, 7035, 17, 7263, 1618, 8069, 7515, 7604, 4495, 6694, 7609, 5467, 6177, 7386, 1135, 2797, 837, 6346, 6895, 6868, 5376, 6226, 4851, 7894, 2577, 2186, 7870, 1703, 6779, 5061, 7318, 2737, 2302, 7462, 6065, 1463, 557, 7676, 2565, 332, 6763, 698, 7807, 1293, 7657, 7395, 3763, 7047, 2103, 7648, 1210, 4223, 2012, 4651, 1253, 5516, 1342, 992, 7283, 1049, 3172, 2654, 2116, 394, 1698, 7314, 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6182, 3926, 4882, 5508, 1500, 4519, 5926, 4458, 96, 4811, 1894, 5828, 6058, 7337, 5215, 1263, 4933, 7682, 5121, 1634, 8260, 5704, 4980, 7115, 767, 7070, 1189, 5024, 2123, 4418, 1575, 7908, 3944, 2862, 316, 7334, 4331, 6124, 176, 5059, 3605, 7130, 2857, 8377, 2233, 4448, 2818, 6366, 3862, 4190, 5263, 6967, 7325, 6745, 7944, 3200, 640, 889, 5684, 5287, 7449, 4294, 279, 6940, 412, 534, 2001, 8376, 5066, 3728, 130, 7551, 3516, 5094, 5607, 8133, 6070, 4621, 7182, 4357, 2369, 7988, 5691, 4934, 4029, 3142, 6773, 6343, 195, 4400, 7008, 4107, 4620, 4369, 664, 3867, 3884, 5848, 6528, 7997, 1558, 569, 8032, 6594, 4117, 1249, 8112, 5597, 2744, 527, 2611, 7891, 2121, 2204, 5819, 309, 8211, 7225, 903, 7006, 6921, 8402, 1990, 4698, 5774, 7500, 8336, 732, 3662, 6561, 4182, 2111, 5678, 945, 12, 1206, 2630, 1804, 1475, 3933, 1835, 7118, 1424, 3653, 1192, 2577, 5050, 7495, 4412, 8426, 7215, 2934, 5679, 2278, 2926, 7159, 258, 4111, 7736, 5793, 5279, 7968, 7279, 2494, 5060, 2472, 1538, 4850, 1864, 4298, 4940, 6757, 3393, 4861, 1519, 4692, 1104, 3410, 6705, 4848, 4186, 4389, 229, 4403, 5560, 1673, 6568, 7277, 587, 2676, 3706, 3851, 8170, 3892, 7018, 5855, 1330, 3144, 573, 5982, 911, 3446, 2847, 5272, 1936, 8236, 8422, 6280, 5079, 4337, 6199, 3655, 8390, 921, 3382, 5041, 2413, 8171, 4680, 7124, 4210, 2241, 5737, 6740, 1652, 485, 7822, 1798, 480, 621, 2019, 7417, 7496, 5451, 166, 629, 2998, 2147, 205, 568, 7271, 6386, 2498, 5907, 7595, 5123, 3513, 7421, 7473, 7457, 6637, 5200, 8150, 4181, 7687, 7588, 8431, 2879, 4209, 2812, 8341, 7424, 2285, 4187, 6409, 524, 8416, 4938, 7889, 3226, 801, 1608, 7463, 2903, 181, 7776, 949, 7522, 4575, 2883, 4520, 5943, 5523, 2728, 4155, 4729, 3641, 6830, 5349, 3057, 3709, 2291, 1781, 7531, 2460, 2952, 5996, 4022, 1130, 5890, 6061, 5318, 8080, 7995, 3491, 4723, 4647, 113, 693, 4130, 1803, 1582, 7343, 1985, 460, 3482, 7692, 7477, 5376, 8160, 1984, 5130, 4493, 5922, 6077, 4904, 6691, 3826, 8134, 5131, 1572, 6552, 6419, 4875, 2859, 3519, 6263, 3684, 8283, 2603, 5730, 2564, 6066, 8088, 8411, 5725, 5119, 4295, 6273, 200, 794, 7548, 1503, 3080, 3743, 4966, 6918, 7101, 7865, 315, 6037, 4537, 5672, 6503, 2276, 6241, 6887, 2170, 1273, 4328, 4338, 295, 1405, 881, 2438, 6420, 6038, 387, 3360, 3013, 7414, 808, 6008, 2162, 7055, 7301, 611, 2951, 8000, 107, 5084, 2682, 2993, 5662, 7285, 6046, 8393, 5393, 726, 7945, 3152, 6004, 7154, 6340, 4494, 1458, 8095, 1134, 5569, 3186, 5599, 4342, 8314, 850, 4925, 3677, 2352, 1689, 2790, 3071, 6078, 1887, 6410, 6999, 2071, 1541, 6286, 1831, 5802, 1532, 3964, 6519, 6256, 4596, 7947, 3322, 2793, 2054, 4093, 2545, 5537, 3272, 1188, 6669, 4063, 1296, 6596, 8105, 3096, 6973, 2520, 4017, 7907, 4796, 6238, 3695, 7443, 5727, 266, 7260, 307, 32, 6327, 2255, 3844, 6877, 2811, 7584, 7433, 2286, 626, 2221, 81, 6625, 6701, 1955, 2113, 4498, 3087, 2106, 6525, 4702, 6022, 6824, 4116, 6585, 8210, 4830, 2081, 2308, 5379, 5624, 859, 6909, 6648, 4557, 1521, 4646, 8098, 1402, 4795, 2347, 8243, 6955, 4807, 5578, 2506, 5553, 1232, 298, 2594, 2618, 1833, 6768, 6282, 3207, 8316, 1207, 3617, 7803, 748, 4304, 5688, 5694, 519, 2092, 2175, 6457, 1352, 499, 1953, 356, 7836, 2370, 5430, 1334, 3751, 2824, 6065, 6179, 6751, 2786, 7050, 3575, 6754, 6959, 8351, 3052, 990, 4725, 2004, 4634, 2978, 6919, 5878, 6755, 7858, 647, 8094, 5744, 5709, 3417, 7176, 3473, 691, 7509, 943, 1672, 359, 869, 560, 6059, 1289, 2777, 7401, 1564, 5664, 6815, 7439, 2562, 66, 473, 8331, 7157, 3594, 1604, 7113, 1333, 2898, 5830, 1650, 349, 6464, 8255, 1934, 8035, 2067, 3606, 3619, 2251, 3610, 1725, 2338, 7431, 3663, 2620, 3072, 4368, 3948, 2217, 3547, 1260, 3556, 2187, 3604, 2055, 3740, 245, 2650, 6017, 303, 8050, 6727, 211, 6214, 4431, 4665, 8071, 2208, 5018, 6206, 7233, 8424, 5817, 4972, 682, 7482, 169, 6394, 1238, 6697, 1027, 6843, 6100, 5633, 34, 8361, 7448, 948, 7637, 3343, 5152, 4263, 7843, 1021, 7304, 1181, 7102, 4398, 1866, 3340, 2900, 4739, 7983, 7498, 4812, 3910, 5626, 3804, 714, 6305, 376, 5110, 6673, 7615, 142, 6851, 6848, 2154, 900, 1560, 6788, 5824, 1624, 7145, 5720, 5554, 6772, 1860, 1473, 3155, 3831, 2072, 7980, 3232, 959, 6875, 5696, 5235, 8060, 2869, 3719, 2584, 6160, 7032, 2546, 1896, 7656, 3960, 5391, 5550, 5865, 681, 373, 3711, 5708, 5212, 5019, 2823, 1653, 5198, 1003, 2561, 8096, 228, 5711, 7389, 7203, 3769, 4927, 2201, 3388, 4120, 222, 332, 424, 5347, 2228, 5426, 337, 7268, 5385, 7666, 8269, 3676, 8001, 4536, 602, 2032, 940, 4991, 5098, 2827, 6796, 7252, 4489, 2368, 6156, 5630, 4409, 6025, 5643, 343, 415, 1174, 2980, 7877, 4129, 2891, 1347, 118, 2877, 4266, 4108, 7059, 6359, 1557, 5404, 7962, 7374, 1992, 1703, 7474, 6073, 927, 5401, 705, 1906, 1666, 2550, 233, 3701, 676, 5424, 7952, 4125, 6035, 4747, 8069, 1312, 6808, 5326, 3876, 2049, 2740, 7936, 1145, 6620, 4752, 57, 1065, 3172, 6318, 7315, 4048, 6388, 5962, 8307, 1061, 5811, 6797, 72, 3425, 8099, 7559, 365, 6032, 1408, 2541, 6917, 1313, 2203, 7552, 1696, 3987, 6396, 8198, 2558, 5156, 4544, 7845, 6632, 8015, 8126, 894, 2231, 8183, 4943, 2058, 8031, 4885, 4319, 8073, 6883, 3208, 3772, 5699, 5341, 3499, 8347, 833, 4423, 4421, 3580, 1245, 3084, 7866, 4456, 1723, 6545, 5192, 2142, 6802, 8297, 6889, 4566, 1527, 5495, 8156, 7217, 5580, 4372, 5403, 4922, 6679, 5558, 3277, 2742, 7647, 4080, 632, 5596, 1236, 177, 1344, 3461, 7895, 1613, 556, 2772, 8238, 1066, 4018, 6315, 1018, 7789, 3752, 1170, 7880, 217, 4453, 2907, 180, 8412, 7538, 7259, 1113, 7847, 7169, 4619, 3062, 7523, 2602, 5745, 3757, 3290, 868, 248, 5324, 4515, 4905, 3497, 8358, 3558, 8052, 7011, 7721, 3349, 7695, 8011, 8064, 5047, 5411, 1227, 7053, 4817, 3119, 7302, 3466, 4687, 2266, 7369, 2227, 159, 3530, 6784, 2970, 6384, 6992, 1510, 7890, 2508, 6166, 7915, 1778, 692, 7659, 6932, 2166, 5081, 6655, 3039, 7535, 7338, 1286, 7342, 2801, 3969, 7073, 1933, 6600, 1083, 4547, 5213, 1291, 3394, 1298, 3127, 3282, 1950, 3557, 3422, 4291, 8437, 4299, 7274, 6618, 7840, 1961, 6391, 7731, 4793, 3505, 7141, 7648, 350, 1059, 5435, 6312, 6371, 4674, 8167, 6251, 4622, 3531, 5548, 3794, 5372, 79, 4953, 4301, 5602, 6250, 2683, 7591, 7428, 2470, 5360, 818, 288, 4471, 7646, 7850, 1497, 433, 3746, 5869, 2502, 1252, 4912, 4020, 7787, 5507, 5344, 6713, 1901, 1306, 1774, 1358, 2947, 822, 7175, 6653, 4545, 1270, 1128, 549, 5642, 5159, 2700, 3102, 6207, 6335, 4677, 4617, 6880, 4600, 4394, 4559, 2914, 6803, 4148, 934, 3153, 7367, 2692, 2592, 3635, 5358, 7602, 3010, 2800, 419, 5406, 7209, 4185, 1903, 2515, 4996, 8399, 3266, 5233, 4344, 548, 7255, 3336, 3189, 7669, 2474, 1740, 6212, 3660, 3832, 6091, 5916, 3078, 6002, 8147, 2189, 3736, 1492, 5004, 518, 1133, 1420, 1035, 6781, 5594, 6639, 3069, 7114, 1076, 4482, 5946, 3620, 3267, 1770, 7348, 1974, 1888, 5834, 6865, 7222, 6230, 1394, 2858, 2586, 1787, 6355, 2817, 6622, 4234, 86, 6937, 1545, 1384, 4173, 1370, 4472, 2143, 2999, 1768, 5297, 4104, 3692, 6507, 772, 5773, 4474, 3093, 1700, 5471, 2509, 6236, 1308, 2302, 7766, 7135, 1929, 8174, 162, 7903, 992, 7991, 4540, 4437, 23, 3483, 5879, 6563, 4994, 5143, 1702, 5613, 5742, 2598, 7951, 1637, 1235, 8436, 6147, 1727, 6136, 4359, 751, 3269, 4282, 7461, 7086, 265, 5356, 24, 2009, 7407, 7000, 5473, 2056, 226, 2658, 1436, 3686, 131, 5031, 3108, 187, 5923, 4741, 6881, 3550, 4915, 2089, 7614, 6806, 2272, 7244, 2901, 7142, 7200, 1041, 5809, 6285, 3731, 7370, 6606, 785, 2042, 2798, 7869, 1744, 1090, 3632, 6406, 1073, 7206, 5880, 250, 2184, 814, 6141, 8389, 7048, 4477, 7437, 1997, 2720, 1156, 3191, 3553, 5151, 6549, 7597, 7289, 2852, 8414, 6593, 8125, 7805, 4999, 2504, 270, 507, 7871, 1533, 3540, 1204, 2048, 1821, 1825, 690, 7384, 7492, 1218, 8404, 5566, 1809, 6984, 5176, 1229, 6914, 1325, 7555, 4475, 3891, 3280, 2330, 2966, 6028, 2377, 6535, 7123, 182, 3458, 6005, 6402, 7365, 3631, 2933, 7747, 6922, 286, 1466, 1237, 1418, 1468, 1685, 2523, 3682, 1264, 4289, 5577, 1878, 1721, 1457, 4305, 3710, 2957, 3981, 7077, 2068, 1117, 4306, 4673, 6389, 5378, 7410, 1697, 6187, 2449, 823, 8176, 6577, 1970, 3327, 6201, 4964, 4893, 8202, 3307, 3861, 3134, 439, 6623, 5468, 5778, 8128, 3570, 2769, 6672, 5889, 1746, 4506, 6377, 4283, 6479, 269, 4735, 5267, 7267, 4050, 3520, 2958, 5617, 7568, 6154, 347, 1623, 5290, 3761, 3247, 4057, 5886, 1791, 4548, 5587, 3841, 7097, 5383, 8189, 1097, 5792, 3198, 5367, 4564, 2379, 4429, 6088, 272, 6570, 8401, 6134, 5327, 6261, 4438, 4327, 4609, 7027, 5620, 8203, 3509, 379, 3449, 3982, 8320, 6743, 7846, 7363, 6885, 4346, 4914, 8235, 3549, 7083, 8395, 2665, 3671, 6326, 1656, 7574, 2770, 6635, 2453, 731, 290, 4265, 5506, 3114, 5976, 5434, 4601, 6188, 1636, 6896, 1606, 2695, 2174, 1987, 5732, 61, 5949, 2130, 2773, 1969, 651, 193, 7056, 2399, 5299, 320, 5055, 1841, 1543, 2911, 3566, 192, 5438, 5721, 7942, 5196, 4341, 7810, 5707, 2454, 2712, 3749, 6665, 8097, 2063, 1166, 1118, 1948, 1046, 3346, 7089, 360, 3149, 1452, 7377, 213, 745, 8042, 6801, 3646, 5035, 5863, 5188, 6952, 1584, 2405, 5307, 4243, 5526, 3122, 4799, 2290, 4415, 2845, 4388, 7860, 4581, 1491, 3044, 1425, 4395, 2555, 43, 3618, 2445, 3612, 6884, 7913, 1132, 2300, 2548, 6132, 4407, 8259, 6511, 5637, 3338, 3779, 722, 3875, 6392, 3521, 1443, 4985, 531, 4726, 5574, 8337, 4598, 7809, 3180, 5335, 5570, 5859, 2976, 700, 6301, 254, 547, 4788, 5417, 2809, 8298, 1195, 1690, 5249, 1228, 3049, 3293, 8388, 2590, 4859, 403, 2936, 612, 3175, 4199, 3324, 5770, 3415, 7220, 928, 6103, 3440, 3945, 1194, 6943, 5813, 7283, 333, 4820, 917, 7494, 1922, 4958, 982, 5432, 6369, 133, 5185, 2632, 7074, 6226, 4901, 4066, 3648, 716, 3498, 4332, 1511, 8305, 1951, 1403, 7345, 5573, 448, 5804, 5493, 2690, 3681, 4717, 3800, 4430, 6195, 886, 4442, 3546, 4816, 3147, 6812, 3643, 6269, 4828, 3864, 3095, 7329, 4087, 6817, 8322, 1670, 1882, 6473, 3469, 6135, 7080, 2534, 7064, 6990, 5472, 4025, 4748, 1988, 5751, 4633, 1382, 6086, 8280, 2388, 5719, 297, 1780, 437, 6107, 3291, 4813, 87, 5685, 6395, 4351, 3008, 7708, 5313, 1032, 5898, 3868, 2746, 6539, 2046, 669, 7649, 6425, 49, 1048, 8228, 1597, 1023, 5948, 3337, 7184, 6148, 1620, 852, 3480, 6753, 2944, 7269, 953, 4970, 6223, 3819, 2065, 7536, 8364, 5102, 4232, 4386, 126, 6475, 2881, 898, 1233, 6692, 3405, 1081, 1439, 2707, 8007, 7985, 243, 504, 4354, 3494, 5348, 701, 996, 5135, 4100, 2774, 6899, 3104, 6309, 2708, 8, 510, 6443, 5765, 4461, 1086, 4276, 340, 1877, 6433, 5621, 6869, 5754, 8018, 3667, 6702, 3348, 3552, 7617, 4056, 5427, 3181, 1518, 414, 5026, 3403, 7191, 2535, 2262, 4309, 5034, 1366, 1968, 5386, 1895, 7671, 1454, 3996, 1203, 6075, 873, 8043, 4214, 586, 1544, 7466, 4257, 7608, 6900, 155, 7792, 947, 1669, 6203, 3115, 423, 7554, 7039, 1314, 3169, 3298, 4762, 1567, 5292, 4288, 1815, 5074, 4165, 1520, 4931, 4455, 2719, 6278, 1981, 5791, 3213, 7879, 5057, 1772, 786, 35, 7967, 6140, 4019, 3421, 7131, 6514, 5486, 6459, 2008, 124, 877, 1523, 4522, 80, 5894, 5999, 90, 2889, 4278, 7201, 567, 7673, 4464, 4293, 2568, 6293, 5980, 5601, 4560, 6495, 5357, 8122, 7941, 2581, 421, 8149, 1485, 7429, 5359, 5600, 7767, 6906, 6095, 3016, 8285, 7918, 2282, 1017, 2450, 8083, 915, 3579, 7336, 7127, 1354, 2088, 8075, 666, 812, 4670, 4320, 6554, 1435, 4180, 6739, 6895, 8400, 6979, 2559, 1216, 7745, 2488, 4059, 5738, 5128, 428, 1057, 6127, 6530, 5788, 6115, 1966, 1599, 4666, 1846, 3289, 3432, 7704, 1052, 1278, 3773, 5175, 466, 6205, 418, 5866, 8252, 8218, 8165, 4426, 4562, 1007, 885, 1762, 8192, 715, 1718, 3107, 103, 3414, 8115, 9, 4200, 6931, 6364, 5589, 168, 7071, 6944, 643, 3741, 2073, 1738, 1529, 6105, 6839, 4473, 1318, 1859, 6455, 7170, 7853, 4707, 3454, 3578, 6738, 7698, 1651, 6668, 4113, 1225, 261, 4138, 3598, 4570, 2783, 2636, 7040, 2820, 2637, 3639, 6010, 1373, 7914, 4511, 5827, 2393, 815, 3474, 8182, 7753, 4549, 4691, 7515, 6357, 4479, 776, 1214, 680, 4196, 4, 2218, 6946, 920, 6872, 2661, 3492, 4802, 7158, 5873, 2992, 6614, 3608, 1390, 4738, 3778, 6496, 4911, 3048, 1536, 3020, 1733, 7411, 7104, 3228, 918, 5361, 1916, 7587, 1788, 4490, 2876, 1149, 6897, 7827, 7923, 5007, 5415, 2458, 3481, 6761, 2343, 8059, 110, 3257, 3845, 5705, 5289, 1201, 7859, 3493, 8397, 306, 3572, 762, 4102, 7507, 5837, 2516, 6307, 3567, 7612, 2029, 4329, 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926, 5609, 5574, 5878, 1855, 2954, 2980, 7288, 3281, 7879, 5780, 4279, 4229, 5196, 7997, 2071, 5819, 6538, 4032, 3999, 4451, 0, 4879, 1115, 7881, 1448, 4891, 5707, 12, 2902, 1589, 4696, 8279, 217, 5071, 8312, 4934, 4714, 6442, 2011, 1650, 3075, 3682, 7830, 2503, 4895, 1046, 8234, 2766, 3914, 2445, 1144, 2984, 1010, 2020, 1020, 1238, 5544, 3511, 7818, 4516, 2801, 5639, 7743, 4677, 5718, 5984, 2148, 6878, 274, 2413, 7358, 3478, 8033, 1222, 1446, 6042, 5754, 2430, 2373, 3961, 2663, 2287, 4976, 6405, 1487, 1160, 3089, 2871, 5292, 758, 1913, 1186, 8158, 6021, 5207, 2747, 5998, 4849, 585, 5697, 5774, 3774, 1696, 6459, 6665, 7583, 2173, 426, 1625, 8412, 1787, 1628, 7573, 4799, 6356, 1591, 6131, 1123, 3915, 4948, 1914, 7227, 5134, 5230, 1232, 3336, 5253, 3854, 7998, 767, 874, 6031, 5528, 3923, 3323, 7862, 5107, 1728, 8015, 7983, 2387, 1664, 1455, 1416, 8411, 4313, 7054, 812, 7092, 8197, 3384, 3637, 4162, 3711, 7960, 4167, 62, 7088, 7255, 6840, 3348, 2436, 7628, 1158, 7426, 4785, 2888, 5408, 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6066, 4490, 1168, 5013, 6226, 7623, 8427, 8006, 5792, 1703, 8110, 4991, 169, 4681, 6506, 5973, 8434, 3494, 333, 2907, 3351, 4977, 2692, 1749, 3715, 7281, 7283, 3497, 6029, 7107, 2644, 7285, 3691, 7449, 8372, 411, 4626, 5410, 362, 526, 4591, 6772, 232, 1332, 5794, 2157, 4202, 4245, 1206, 4337, 4618, 4118, 4328, 1435, 7202, 4371, 4220, 302, 7942, 657, 3644, 3446, 6794, 3678, 1776, 7002, 5848, 648, 1082, 5884, 3863, 1731, 5557, 2235, 7956, 4805, 8026, 1860, 5712, 4100, 7682, 6278, 4331, 6645, 2465, 8179, 1820, 1956, 4324, 4776, 6078, 2827, 7193, 6345, 33, 814, 163, 6247, 4857, 5476, 4345, 5865, 7303, 4526, 3338, 8017, 1954, 1597, 2048, 2600, 750, 5954, 8388, 7676, 2934, 7442, 4911, 6320, 1237, 4460, 6130, 4613, 5064, 5629, 2427, 261, 7139, 802, 3973, 6816, 1924, 4631, 5358, 5542, 3668, 2765, 2424, 367, 281, 3031, 2959, 6188, 7520, 1543, 7209, 2379, 2969, 3807, 4617, 463, 4638, 3006, 7490, 7721, 1145, 623, 5537, 6577, 6605, 4682, 589, 4150, 3486, 56, 5395, 2639, 7400, 3650, 3670, 3930, 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45, 2333, 260, 6380, 6364, 6683, 4221, 5700, 448, 7874, 3359, 8164, 524, 727, 2403, 3881, 310, 1424, 1473, 3921, 7772, 7183, 4401, 4176, 342, 6118, 2846, 6069, 3402, 1466, 2220, 7566, 5161, 738, 2657, 7184, 2349, 4365, 6826, 640, 4402, 5413, 8403, 81, 4859, 53, 2759, 6824, 5148, 6340, 5955, 5304, 1571, 2471, 372, 402, 8225, 1328, 7994, 6384, 6129, 5421, 2132, 913, 6558, 3426, 4876, 2681, 1754, 7072, 777, 4493, 5432, 5303, 7354, 7004, 2031, 4670, 8161, 7938, 5104, 4393, 6067, 5631, 40, 6865, 1296, 2675, 5015, 2054, 480, 3586, 5565, 4710, 5184, 1139, 6253, 638, 4478, 7154, 4287, 904, 4266, 2017, 248, 7913, 3869, 6227, 2192, 2186, 2134, 4215, 877, 770, 2128, 4184, 6382, 6295, 2986, 3727, 6082, 2344, 5605, 1280, 4327, 272, 8342, 8330, 3333, 7323, 6044, 2629, 3819, 4730, 7670, 5315, 3271, 3646, 6400, 6243, 719, 6161, 3755, 3310, 7108, 1356, 439, 6212, 3388, 7624, 3589, 3846, 8346, 3643, 6339, 8012, 5312, 3498, 3739, 6175, 1037, 4494, 407, 3035, 1445, 650, 4964, 3683, 677, 1390, 207, 4386, 5314, 1803, 6932, 1598, 4599, 6559, 2394, 4862, 7398, 2869, 1464, 4492, 907, 2541, 4464, 2978, 2970, 5540, 5911, 1866, 5869, 1124, 6646, 6651, 8370, 825, 5596, 1733, 2944, 3884, 3417, 7535, 4768, 4191, 3821, 7155, 4718, 6250, 1883, 2573, 1920, 1763, 5679, 5392, 3250, 2053, 4170, 1271, 3768, 5983, 6116, 5681, 245, 4575, 1023, 2764, 1379, 3239, 8185, 1368, 7133, 4311, 4226, 2706, 2375, 2688, 5810, 2152, 3010, 7243, 4409, 7855, 7593, 4749, 4480, 2502, 7774, 2084, 360, 2848, 3226, 4721, 7386, 1995, 4938, 3125, 6875, 2682, 2592, 7816, 8305, 452, 5137, 3619, 8118, 6952, 4804, 7130, 1757, 1190, 5622, 2390, 6886, 1965, 5115, 570, 3168, 6916, 6770, 1226, 3319, 6222, 6467, 1983, 6183, 3474, 4021, 5342, 1420, 2180, 5956, 4992, 3364, 2654, 4928, 3204, 6854, 5234, 7151, 8258, 2479, 8414, 6552, 2797, 3659, 6555, 902, 7681, 6527, 271, 3206, 3516, 7709, 7186, 3001, 3400, 3047, 234, 3891, 1166, 1528, 3174, 7325, 6417, 4146, 4940, 2696, 6849, 2832, 8150, 2322, 4407, 1047, 8120, 1305, 3386, 7066, 5424, 1095, 7547, 3385, 1729, 7740, 7416, 1333, 5685, 5261, 5608, 6765, 5128, 6363, 538, 8160, 7014, 7129, 1753, 2082, 6387, 2596, 6780, 6256, 7737, 6938, 5670, 301, 5839, 6257, 3053, 1657, 1906, 6154, 2340, 6741, 4820, 140, 2853, 1441, 3245, 2686, 7370, 7021, 3005, 7810, 1421, 6074, 8214, 2704, 7069, 4198, 3214, 7731, 6890, 8423, 2439, 1647, 2512, 6422, 1689, 7868, 3657, 6148, 464, 4812, 1221, 4671, 6515, 5068, 947, 3288, 4160, 5562, 2579, 7694, 8018, 1848, 6588, 6896, 556, 2544, 549, 2762, 3932, 1885, 1518, 3906, 5731, 6571, 5062, 7853, 7678, 1039, 5031, 6398, 5239, 7633, 6277, 3457, 6110, 1481, 1812, 960, 3972, 5369, 2223, 6615, 4497, 620, 6457, 1781, 3953, 2809, 995, 1506, 1536, 8318, 8236, 1974, 1179, 5912, 2285, 4099, 2313, 5192, 543, 4273, 8263, 5602, 1583, 6627, 8207, 4237, 4713, 8038, 6101, 7414, 154, 6866, 7730, 2583, 5299, 7568, 262, 5576, 7760, 1075, 4737, 2631, 5394, 7110, 2438, 7650, 739, 1143, 1582, 7143, 8173, 3175, 793, 5467, 2925, 6439, 6289, 2714, 7173, 8056, 3836, 5327, 6572, 1122, 151, 2232, 5496, 4615, 3314, 8170, 336, 5285, 7521, 7523, 7511, 2599, 6503, 1432, 4448, 4104, 2231, 2014, 4316, 3612, 2575, 8142, 6349, 8269, 8351, 7208, 3496, 852, 110, 5739, 7242, 2050, 5807, 7867, 3034, 6950, 6051, 8248, 5391, 3362, 608, 229, 7602, 2998, 2514, 6063, 5903, 2880, 4558, 2607, 5398, 1693, 3873, 6414, 1686, 3524, 6270, 3537, 6712, 8284, 3622, 1945, 193, 3093, 1563, 3427, 5293, 830, 1260, 4667, 537, 2338, 6244, 540, 4349, 4169, 3536, 6403, 2381, 5891, 4629, 4363, 3954, 7919, 5074, 891, 7022, 798, 5363, 6869, 8007, 4748, 799, 3526, 3928, 4436, 1073, 4658, 3110, 2576, 325, 4725, 744, 85, 1334, 3317, 3986, 4777, 976, 46, 4848, 167, 2456, 5566, 3357, 1987, 2267, 1874, 5485, 5790, 8072, 6147, 4649, 2197, 856, 3213, 5851, 1824, 3225, 4628, 2078, 6098, 1443, 580, 2470, 209, 6821, 4954, 1112, 3343, 1116, 5333, 1142, 1359, 436, 1669, 2865, 2793, 1504, 8232, 2571, 2448, 238, 6942, 370, 7757, 5263, 152, 51, 5203, 3588, 4712, 6418, 1662, 7279, 115, 8210, 1941, 1837, 4067, 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5730, 6378, 789, 150, 4468, 3195, 4726, 273, 2260, 5265, 2068, 2411, 7486, 2110, 8366, 1163, 5372, 3399, 1472, 1430, 2859, 6545, 6609, 544, 4717, 4079, 2478, 3542, 5821, 1917, 7620, 6596, 7031, 6957, 1627, 6787, 7204, 8222, 908, 5917, 2088, 8200, 398, 6771, 2125, 7700, 5646, 3609, 3493, 2882, 3467, 6662, 6132, 7783, 2127, 4898, 1645, 7929, 2370, 3429, 270, 1195, 1778, 4844, 2028, 3982, 1092, 8373, 3887, 5720, 6912, 1835, 523, 4439, 5070, 1553, 3077, 1403, 1134, 5124, 3082, 2643, 2123, 3284, 3415, 4770, 3969, 5879, 1755, 7479, 7703, 2948, 6159, 405, 576, 5880, 7519, 1369, 223, 7844, 6892, 5958, 1777, 5726, 7833, 428, 7115, 745, 122, 7854, 7798, 1838, 1618, 211, 4695, 3061, 1067, 7848, 3684, 759, 6170, 2861, 1316, 4235, 5852, 2307, 355, 772, 2591, 1880, 6097, 4214, 1294, 5511, 1572, 5202, 4780, 632, 2771, 6813, 7910, 4920, 6659, 6914, 8086, 6499, 3629, 579, 1194, 5641, 7483, 6593, 7050, 7244, 4446, 7943, 1957, 3217, 2477, 6778, 7101, 7875, 4636, 7273, 3216, 4234, 2806, 1102, 175, 4136, 7877, 1277, 6115, 2735, 1437, 5076, 7087, 4751, 8337, 516, 4642, 790, 3543, 7343, 2864, 7063, 3258, 1207, 7274, 1177, 5499, 1259, 7532, 573, 1547, 6880, 2987, 7488, 5125, 5759, 894, 8369, 3513, 8283, 5769, 6330, 3709, 7161, 3531, 1694, 2330, 4098, 3861, 1760, 7541, 8227, 6551, 2648, 6136, 1853, 2237, 2449, 7771, 3666, 2206, 567, 483, 2476, 7606, 5518, 8116, 1610, 2233, 4990, 3221, 3540, 6318, 8376, 7019, 2077, 2421, 2690, 1501, 3104, 195, 5521, 2308, 6454, 4461, 8338, 247, 936, 3581, 3600, 2124, 5284, 4883, 2829, 3079, 726, 2420, 8381, 1814, 3126, 4061, 4126, 1203, 984, 5572, 178, 8306, 5570, 903, 6956, 6533, 6347, 6081, 5595, 5326, 7355, 6259, 3895, 3500, 4231, 4189, 6591, 7436, 2393, 8035, 4151, 3298, 381, 5791, 716, 7032, 3440, 6719, 1347, 5044, 2720, 1966, 6166, 5156, 1522, 5453, 3912, 604, 6758, 955, 4564, 7968, 1670, 3066, 5698, 7664, 2336, 4441, 8022, 1734, 4206, 404, 4521, 2221, 2515, 8181, 7316, 2695, 3097, 2388, 3490, 4453, 1449, 7539, 1509, 6564, 8332, 7372, 7077, 6428, 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3802, 8466, 3766, 22, 13767, 1226, 4586, 11419, 4661, 1860, 12870, 13716, 2075, 928, 3325, 11297, 15510, 14971, 6965, 2766, 10228, 7651, 14913, 4343, 10567, 12266, 7023, 9522, 9975, 4017, 13878, 13588, 8910, 7890, 1531, 12529, 3936, 15492, 6118, 1223, 8902, 11052, 15481, 11264, 9775, 2138, 10227, 12494, 15614, 15335, 4285, 6346, 9959, 8926, 9454, 13608, 4590, 322, 4348, 1922, 4632, 1877, 4504, 7586, 671, 12484, 8670, 9620, 1296, 5570, 7760, 2969, 2377, 8665, 7380, 7392, 13569, 14111, 899, 8945, 4428, 8688, 1901, 1170, 10376, 2847, 16110, 15001, 10237, 2837, 351, 8088, 6386, 13141, 2404, 14308, 1729, 9607, 15336, 8353, 15857, 7003, 14702, 5824, 10811, 15444, 1887, 8154, 15825, 5110, 10433, 9566, 13372, 6286, 12426, 10116, 1676, 10405, 2979, 14865, 1878, 13947, 5928, 9458, 7959, 16081, 15506, 5008, 5440, 14031, 3698, 15896, 10241, 1288, 9743, 5333, 6531, 8619, 15770, 16108, 5469, 3778, 8515, 11175, 1153, 5531, 14928, 10058, 9634, 4642, 3697, 4525, 11179, 527, 12190, 9768, 14492, 3622, 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4464, 783, 8423, 4471, 5530, 11985, 3726, 7055, 1737, 7645, 14628, 2729, 9573, 14674, 1927, 12837, 13406, 1510, 15342, 2157, 14809, 11773, 7791, 4329, 5931, 12130, 15988, 2383, 3661, 10651, 11360, 9194, 15039, 288, 9732, 15133, 10111, 4530, 6241, 5641, 6901, 2402, 5474, 3670, 2900, 4241, 2216, 11487, 9478, 10476, 3589, 2565, 3145, 9885, 13957, 11217, 3125, 12018, 4465, 4067, 9806, 7543, 7604, 839, 9489, 9565, 13011, 14482, 14368, 2293, 11839, 10188, 5100, 3422, 12637, 2855, 8310, 2883, 8710, 10564, 4872, 2871, 11439, 14021, 11819, 4516, 15886, 6226, 10532, 1421, 4335, 10105, 3469, 8942, 16037, 14503, 4742, 4502, 3832, 7239, 7336, 14441, 7291, 1974, 7933, 16039, 4610, 13234, 3618, 12391, 7317, 2873, 12650, 76, 7982, 3255, 4057, 1018, 3784, 14676, 1812, 7344, 8, 12478, 14643, 14919, 2281, 4363, 12499, 14497, 15147, 8109, 5720, 6533, 7387, 15946, 1626, 686, 12411, 7602, 1442, 13421, 8848, 4984, 13397, 6689, 3137, 9789, 6047, 5391, 6841, 10398, 2004, 13058, 11355, 9043, 15848, 14557, 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1365, 5879, 15776, 6128, 7640, 13991, 11215, 11635, 11833, 6146, 2910, 13657, 15577, 12946, 5558, 11163, 12729, 13857, 1280, 9282, 8506, 9322, 15387, 6223, 7520, 7948, 12506, 8603, 2659, 9892, 7947, 4320, 1732, 11883, 15161, 5021, 8972, 3247, 9909, 9123, 6251, 13022, 12583, 6236, 14284, 5975, 3218, 5979, 11497, 1362, 8026, 3470, 249, 4031, 2639, 228, 5844, 67, 1354, 11785, 12348, 14765, 13462, 27, 10606, 4713, 3049, 8819, 3576, 14914, 1951, 4849, 7503, 5362, 14936, 10402, 10304, 426, 2453, 1125, 10048, 3866, 1908, 13309, 12613, 10734, 758, 14184, 11882, 58, 8393, 11805, 9197, 14349, 14695, 5002, 5956, 7541, 3424, 1517, 3346, 3974, 1051, 11863, 14829, 1906, 10727, 8787, 6170, 11420, 4901, 4156, 3648, 1291, 13940, 13246, 2419, 9078, 5909, 10767, 7143, 11791, 15304, 2569, 13100, 15982, 540, 2128, 6328, 16010, 1095, 9944, 14016, 506, 1303, 11438, 12649, 1465, 10513, 14665, 2290, 363, 8127, 11426, 3818, 15652, 12380, 264, 13403, 6039, 404, 6996, 16051, 8875, 3510, 9929, 6342, 15578, 13243, 6691, 308, 11825, 15498, 3394, 7065, 1792, 9821, 10435, 14415, 14549, 13402, 617, 5565, 6253, 13179, 13521, 13961, 12269, 8371, 7171, 6939, 3269, 13689, 1321, 5599, 7047, 9437, 6797, 7717, 9807, 8646, 11214, 12129, 1258, 2918, 2738, 8431, 12886, 13874, 13323, 7354, 1704, 10965, 1268, 10366, 15567, 9755, 8157, 2654, 16119, 10996, 4697, 12208, 2985, 15410, 11243, 11494, 537, 13782, 500, 1498, 7986, 3681, 16044, 13769, 4823, 12560, 12409, 13861, 1645, 4975, 7174, 5850, 9596, 10157, 14145, 1640, 7230, 1849, 4659, 4782, 12821, 15438, 14713, 991, 4818, 11620, 2545, 7164, 2320, 4524, 4739, 14696, 12806, 13031, 15768, 1976, 1126, 4453, 2771, 7906, 6663, 4482, 12712, 2678, 889, 2262, 1813, 5028, 15547, 2359, 21, 13502, 9212, 12238, 5626, 901, 14796, 250, 1357, 10585, 8935, 6614, 13426, 15299, 365, 6365, 5290, 4751, 616, 1175, 10099, 14040, 2109, 6570, 6045, 334, 14242, 15107, 14745, 10355, 5567, 15810, 1250, 4273, 9881, 13794, 14339, 1822, 15424, 8612, 4303, 15030, 15944, 7075, 13790, 7705, 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5297, 369, 5457, 408, 1845, 12041, 8046, 4978, 12694, 5514, 14789, 11597, 8892, 4940, 9149, 4179, 12158, 2288, 9115, 6475, 5402, 668, 15383, 9840, 1872, 3613, 1748, 2260, 11727, 803, 5692, 7875, 1247, 11553, 7038, 1731, 14510, 6110, 10753, 6361, 5761, 15031, 14134, 13551, 8789, 16103, 13777, 14276, 5377, 8018, 9907, 6795, 10951, 9992, 9002, 10095, 4601, 7492, 7397, 15887, 5320, 2904, 10531, 8400, 6256, 12405, 2363, 6001, 10685, 14301, 1042, 11061, 8218, 11509, 3158, 4522, 2369, 5520, 2603, 12931, 5103, 9213, 2192, 851, 6541, 8674, 16083, 13337, 6661, 12400, 10497, 12278, 7623, 1370, 16008, 13793, 15344, 214, 4427, 6213, 4819, 12439, 12544, 14089, 794, 7683, 833, 9631, 5712, 9139, 7250, 10639, 8005, 11234, 2181, 14906, 8202, 7507, 2286, 15470, 7295, 9854, 4822, 2834, 5026, 14261, 15677, 6100, 13927, 13518, 14890, 14668, 6294, 7288, 12880, 15558, 16014, 10527, 1985, 947, 3574, 11332, 432, 15592, 5935, 5122, 7821, 12979, 13938, 7433, 3321, 14220, 3559, 14677, 9186, 7487, 4425, 14429, 3747, 2824, 13504, 3462, 5669, 631, 3296, 1789, 6318, 9720, 1681, 13499, 10713, 8047, 8922, 2076, 12553, 6767, 11096, 9101, 12663, 5571, 10053, 3370, 13105, 15108, 3275, 15238, 15937, 6613, 11125, 13204, 10496, 7203, 9318, 13255, 6052, 5705, 3100, 4373, 3344, 15280, 14389, 5835, 1105, 12423, 15437, 14159, 3715, 11888, 15594, 7209, 8593, 6463, 5334, 116, 9230, 3705, 8013, 1703, 7040, 648, 748, 4856, 16127, 11145, 13803, 14945, 10595, 10399, 11330, 3556, 5976, 14545, 10798, 1836, 8535, 15488, 7237, 2005, 16066, 12965, 3169, 12331, 906, 3025, 6357, 2149, 14224, 8444, 8915, 9332, 9059, 11799, 4843, 14200, 4455, 5701, 5980, 10533, 15397, 3212, 4912, 411, 13476, 640, 11751, 8477, 4175, 8713, 6468, 7116, 1982, 12052, 9128, 7423, 9268, 11772, 45, 12087, 5548, 6937, 1979, 13254, 11814, 3262, 7963, 11140, 13713, 7016, 4492, 6966, 9707, 7142, 9783, 8052, 14078, 4833, 12124, 2752, 8958, 4260, 15977, 4181, 6857, 2366, 1516, 681, 1473, 359, 4495, 14321, 9064, 8243, 11393, 5012, 7029, 3580, 13030, 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12839, 7550, 5183, 3203, 11502, 11870, 4409, 11166, 2478, 5030, 10957, 15581, 14776, 4263, 14586, 15543, 2749, 10736, 2851, 13757, 9738, 3151, 12930, 4080, 15564, 10954, 9678, 11015, 1764, 10034, 4268, 8267, 4692, 1298, 14819, 3443, 3923, 9572, 5323, 10557, 5129, 2325, 1317, 11666, 5227, 15668, 8442, 3334, 87, 13371, 7958, 4788, 1966, 11146, 2656, 16038, 1407, 15881, 13024, 12978, 7520, 35, 9623, 7774, 7885, 1885, 4948, 15938, 7373, 11652, 15276, 3440, 13151, 229, 14324, 12494, 8558, 3432, 3578, 221, 5947, 1102, 4873, 14953, 12077, 13289, 11800, 14367, 10907, 5765, 5007, 14089, 11660, 11912, 2655, 258, 11675, 8630, 3742, 10660, 5478, 12523, 453, 7615, 4533, 3445, 11296, 11976, 8111, 1157, 4286, 11611, 12947, 3976, 4124, 8955, 8417, 12663, 4947, 10490, 2705, 10337, 8422, 14434, 16014, 15858, 11973, 3985, 3518, 1762, 12116, 11072, 13819, 10893, 11867, 13159, 5219, 11170, 11257, 15754, 7897, 4287, 8421, 14019, 3941, 3294, 13188, 12883, 3130, 4726, 15663, 6456, 6858, 3840, 76, 9897, 5083, 8207, 1472, 6265, 4383, 400, 8959, 2277, 8074, 14609, 4983, 1602, 108, 6326, 2667, 11533, 9649, 15528, 8603, 12119, 6138, 5938, 2452, 14207, 11638, 8767, 6655, 7448, 14028, 8701, 9550, 12515, 6300, 1823, 347, 315, 12480, 5382, 11824, 10856, 4065, 1698, 13504, 8501, 7630, 5562, 3813, 3635, 290, 8493, 12296, 9680, 2381, 13839, 7327, 10604, 1879, 8952, 13901, 11175, 9060, 685, 13526, 7612, 6208, 6068, 11574, 3126, 13956, 9839, 11455, 14216, 15256, 6762, 3068, 5717, 9944, 4676, 10554, 7863, 15600, 12783, 8144, 10626, 1559, 12393, 2704, 2502, 13456, 10194, 8327, 15251, 14535, 16060, 4293, 9809, 15131, 13730, 13609, 7627, 1982, 12901, 10492, 2239, 15948, 7490, 3778, 13468, 8718, 3900, 12184, 8021, 11877, 877, 8051, 10335, 10278, 1103, 6625, 15428, 16029, 5189, 12763, 6852, 3777, 16004, 2950, 2922, 134, 6475, 10540, 7730, 10690, 5810, 12708, 12448, 9149, 9193, 10898, 15717, 833, 12314, 5703, 9278, 559, 2480, 12822, 8352, 15057, 11244, 4274, 6203, 14179, 7722, 446, 3439, 10169, 16127, 5736, 5078, 3639, 9055, 788, 7934, 6346, 5839, 1281, 3144, 11881, 11586, 5420, 4092, 13132, 13851, 7040, 12604, 6918, 5174, 11480, 377, 15050, 6472, 561, 15830, 4179, 3458, 9658, 7740, 10863, 11917, 5881, 6175, 13821, 752, 13599, 11252, 14326, 13812, 13477, 10360, 1090, 13330, 4993, 1672, 10095, 1121, 12998, 13914, 10285, 4270, 13950, 5943, 14267, 2515, 2536, 8532, 12307, 7600, 680, 11826, 8585, 14530, 13300, 9656, 2406, 15696, 14160, 10538, 15975, 2067, 13804, 8617, 2832, 13566, 1475, 13740, 2959, 3935, 4794, 9695, 12438, 38, 7586, 15227, 12852, 13761, 2186, 14108, 6812, 8411, 8030, 4943, 10674, 11109, 9126, 10146, 8450, 13080, 772, 10747, 1444, 9371, 15278, 6074, 7598, 5792, 8467, 9794, 6537, 4024, 12028, 14111, 9218, 7274, 7693, 4180, 12819, 11823, 7135, 11774, 3406, 14718, 9487, 7344, 15051, 11629, 8219, 15811, 490, 12395, 13020, 3674, 7756, 4423, 15874, 7656, 7763, 1085, 13844, 11019, 9505, 95, 10590, 9115, 13123, 3073, 7449, 2266, 15137, 15657, 10511, 10030, 13640, 1088, 2288, 7902, 7974, 13554, 5702, 280, 9688, 13431, 13488, 263, 2953, 12533, 8150, 10386, 943, 9551, 328, 6826, 12645, 1463, 7804, 3332, 1141, 6463, 13164, 13822, 5509, 14055, 13533, 10602, 15850, 8774, 2114, 2553, 6882, 760, 1129, 3667, 8071, 545, 3792, 14485, 1132, 4535, 10176, 958, 11396, 5548, 677, 5062, 1089, 13693, 12284, 8097, 10574, 3137, 13433, 14716, 13326, 3534, 4035, 2078, 7949, 254, 12809, 13352, 1998, 8619, 6839, 1725, 3506, 15824, 1661, 3474, 10201, 3727, 15534, 8649, 1337, 12702, 2919, 2995, 2132, 14541, 1176, 8545, 10731, 10839, 9419, 9898, 13945, 8908, 10635, 10112, 15479, 5109, 5296, 4395, 4141, 13389, 9247, 13265, 6501, 15354, 15436, 1839, 15448, 4606, 11131, 15316, 3225, 1957, 4089, 1388, 7738, 13663, 6054, 3329, 9780, 2086, 2211, 8741, 659, 14816, 15567, 5547, 9595, 15337, 16003, 8714, 7081, 9480, 12159, 2339, 4485, 4984, 9072, 12856, 2289, 11199, 15573, 8927, 6118, 8828, 7331, 6756, 7824, 7245, 11792, 11056, 13664, 5854, 4052, 13698, 2488, 1568, 4057, 905, 9490, 7945, 4907, 10631, 12189, 5053, 14754, 9372, 6536, 4511, 14608, 15218, 4022, 5630, 7761, 13237, 5645, 1981, 4762, 15219, 15433, 7108, 3282, 13341, 9906, 9747, 4731, 5536, 10887, 13611, 4844, 7590, 14686, 7020, 10606, 8303, 10205, 1430, 218, 14206, 12246, 8851, 14676, 1110, 3669, 5807, 15451, 2629, 12063, 2187, 13040, 8948, 12560, 7174, 6700, 5032, 4406, 7871, 10875, 10311, 7285, 10431, 13613, 284, 9079, 15283, 2529, 2278, 13091, 7251, 11271, 153, 3567, 8320, 15102, 8194, 4513, 11420, 7129, 11612, 4063, 12153, 13075, 187, 11945, 10140, 1174, 4196, 7189, 13944, 14106, 2633, 1342, 14502, 11684, 2599, 12769, 8793, 5318, 8069, 10553, 2103, 11894, 19, 8167, 898, 5284, 10864, 8823, 8914, 3611, 2436, 10632, 7504, 8477, 11045, 4096, 12780, 6036, 668, 15348, 13972, 12566, 7766, 2154, 8341, 10616, 14909, 7390, 3625, 7442, 13299, 6950, 15965, 2660, 13636, 5824, 11229, 1980, 8305, 144, 4723, 7482, 15335, 9914, 15405, 9427, 6267, 4123, 3699, 6667, 7140, 14869, 3575, 9720, 9513, 13801, 9723, 8065, 15421, 4207, 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13598, 5026, 2572, 4733, 4771, 12665, 603, 14274, 12948, 5283, 8929, 9904, 4341, 12979, 11314, 1038, 692, 1586, 3168, 11884, 9932, 9259, 7931, 1945, 11727, 3821, 11646, 11904, 6399, 13169, 3531, 10148, 3035, 2420, 3858, 4386, 15314, 15671, 102, 14485, 835, 7283, 6939, 8959, 8285, 15506, 1897, 12368, 300, 10012, 8567, 7399, 9002, 8671, 378, 15281, 13110, 6347, 14695, 5342, 7772, 10087, 296, 16018, 2604, 14385, 11110, 10950, 15380, 7478, 14933, 6603, 5059, 4202, 1137, 14594, 10537, 7345, 4447, 1593, 5723, 1236, 8819, 13493, 1626, 8231, 11135, 10422, 929, 15767, 14323, 15241, 4713, 66, 9517, 12572, 5099, 9176, 4910, 6147, 5591, 9460, 8892, 2074, 5590, 2471, 14927, 2525, 6521, 15823, 8853, 3749, 5073, 2662, 11975, 12366, 14303, 2587, 11886, 427, 6686, 5518, 12865, 12341, 13564, 7788, 1763, 1124, 2909, 3896, 6872, 2825, 13405, 6130, 13122, 3368, 15437, 15668, 9447, 3173, 13160, 2631, 9820, 5588, 5624, 2888, 2775, 10692, 11906, 15872, 3816, 7358, 15955, 13706, 2581, 5363, 6447, 6923, 6731, 7151, 13223, 6333, 1908, 4430, 11233, 4212, 3777, 14465, 12308, 13594, 3953, 1901, 1145, 3291, 5790, 2926, 934, 7678, 7349, 14095, 4067, 11952, 7694, 9806, 12991, 14410, 13870, 14209, 9562, 4847, 9037, 4171, 1370, 13367, 14664, 8202, 10690, 7396, 6006, 9764, 6487, 14076, 10625, 11970, 683, 10480, 8631, 2620, 5181, 7627, 9870, 2369, 8595, 4194, 14900, 15904, 11026, 14060, 8344, 7651, 3707, 11061, 3877, 6924, 4618, 3376, 11633, 15853, 11873, 7120, 15746, 672, 6707, 10784, 11935, 1402, 8839, 14041, 1736, 8574, 3145, 2050, 5570, 653, 1702, 11856, 4044, 5946, 7639, 11315, 14131, 11613, 9281, 7723, 7649, 2619, 9624, 11445, 3013, 8235, 938, 6705, 11017, 2730, 13355, 8418, 10535, 3402, 9345, 6626, 7398, 2720, 331, 2962, 1966, 14856, 13636, 6799, 10340, 14780, 7307, 9418, 4330, 12269, 2715, 13387, 11661, 1830, 3176, 7739, 10742, 9458, 6969, 12789, 5719, 210, 183, 9435, 5472, 12835, 6722, 3357, 6980, 10413, 3632, 4499, 796, 10333, 1379, 10182, 6063, 14221, 7876, 16033, 11592, 14320, 11527, 13347, 6250, 8999, 10258, 9361, 14588, 14326, 10691, 7762, 11601, 8827, 11492, 15492, 10648, 13914, 5191, 2957, 2660, 12183, 9829, 6367, 9637, 11780, 4864, 2287, 5730, 11124, 9905, 11193, 15081, 10785, 8860, 2735, 2758, 4916, 9159, 548, 8796, 6950, 14357, 11069, 15229, 15684, 123, 86, 7233, 1407, 13441, 15041, 4827, 3515, 8400, 14152, 14283, 13392, 12972, 14755, 2383, 925, 2113, 2007, 11750, 2059, 10599, 7817, 2170, 3282, 12072, 2574, 15381, 5253, 4550, 13617, 11515, 15766, 13567, 7877, 6409, 7845, 9544, 492, 4510, 3384, 525, 7115, 6348, 1829, 7975, 14135, 12756, 6076, 3869, 12285, 8340, 12516, 5400, 6551, 7826, 14454, 6857, 7225, 5209, 4913, 8353, 4540, 3959, 9944, 15222, 792, 3038, 13397, 8909, 11871, 1967, 15134, 11068, 4526, 7634, 5781, 2480, 12860, 8965, 5296, 12387, 7965, 3125, 10909, 10553, 12947, 13816, 2466, 7933, 3627, 10542, 7400, 15356, 5334, 362, 8847, 5603, 12616, 13182, 1969, 8243, 3211, 4070, 9509, 11302, 9471, 8778, 9368, 12067, 6020, 7982, 11072, 1491, 10058, 14156, 12039, 13248, 3594, 9044, 874, 916, 8547, 8935, 14388, 15051, 9186, 10719, 15276, 15049, 11382, 8767, 11738, 7209, 15724, 11437, 8351, 12907, 9304, 5845, 6845, 13089, 3797, 8149, 5462, 6828, 12946, 12905, 990, 3249, 14005, 7824, 119, 13192, 4806, 3801, 14233, 1602, 7277, 3108, 1132, 317, 1220, 11444, 1881, 10605, 7414, 9834, 14703, 3080, 11330, 3334, 67, 13839, 100, 9813, 8715, 1185, 10665, 7730, 10368, 4210, 9445, 1238, 13752, 4708, 10401, 11713, 4507, 6929, 6165, 6897, 13547, 2977, 9708, 13238, 15215, 1430, 11239, 14164, 7170, 15557, 12202, 6898, 7472, 1950, 644, 14235, 6086, 2898, 7332, 11025, 5962, 8790, 2552, 5029, 9363, 10111, 12214, 7215, 9507, 5019, 6602, 15060, 6077, 7452, 6639, 14445, 11688, 4839, 6786, 15582, 876, 10018, 13787, 2117, 6517, 9731, 3917, 14040, 10578, 10953, 8227, 6018, 8855, 13479, 16069, 5277, 13785, 10942, 9954, 15860, 9090, 1972, 4037, 763, 7541, 4092, 6718, 14775, 1433, 9444, 10193, 14169, 1672, 11433, 12823, 11103, 993, 9341, 14989, 13990, 6726, 13571, 7439, 3469, 5582, 6113, 5769, 13720, 1079, 1816, 7401, 10466, 12114, 9514, 2712, 5413, 1442, 285, 6744, 10733, 14757, 517, 13781, 336, 3430, 5035, 8094, 3447, 9768, 14893, 8032, 15337, 13319, 7451, 14792, 9370, 13734, 11630, 7745, 1294, 1689, 282, 6523, 3215, 10159, 13600, 14367, 8607, 2705, 9132, 1099, 10893, 6501, 7642, 6016, 6691, 4975, 14383, 12252, 13728, 2976, 2038, 13035, 13902, 783, 13184, 12021, 10200, 1165, 7897, 587, 4216, 2756, 6710, 5841, 5120, 15757, 2271, 9902, 9773, 14883, 6740, 11735, 25, 699, 7127, 10000, 6463, 13275, 15928, 10669, 14643, 5861, 6904, 1921, 2232, 4467, 11285, 6576, 7030, 14530, 15043, 13588, 9469, 3239, 3345, 11089, 5321, 4674, 6246, 13766, 13855, 15006, 13821, 15388, 5592, 9807, 14424, 10586, 13096, 11071, 14247, 10384, 5449, 1820, 1316, 9439, 13173, 15487, 14230, 14129, 7111, 15095, 12920, 1182, 8952, 15624, 322, 15336, 10459, 2483, 241, 16013, 4487, 12200, 4185, 11259, 11495, 6651, 9455, 4935, 8358, 10132, 11120, 12725, 2978, 9011, 12911, 5165, 5431, 7543, 9027, 9166, 2826, 6540, 14804, 2162, 11528, 3401, 1927, 15207, 13847, 2852, 2376, 10645, 13320, 10388, 7741, 12388, 3180, 3354, 11439, 13967, 13524, 8049, 7395, 2310, 11792, 8233, 15686, 7270, 5290, 3152, 9224, 6100, 1559, 14256, 12333, 6784, 10946, 994, 13241, 5006, 7539, 13363, 11415, 6933, 16080, 6219, 10834, 10910, 5262, 130, 1412, 6680, 3902, 10050, 8236, 8007, 8417, 1321, 1997, 8894, 13291, 4099, 13339, 9217, 1995, 14867, 7725, 1293, 4013, 6298, 13824, 9984, 10, 11721, 11578, 7123, 12165, 7486, 14342, 8438, 11579, 13678, 11562, 5351, 11365, 5802, 15245, 3910, 14364, 12459, 1143, 6009, 14634, 5211, 12464, 37, 6982, 5496, 1636, 8398, 8808, 3604, 10509, 4014, 9609, 6795, 3216, 6802, 4909, 12287, 14749, 12994, 1166, 1050, 13881, 5146, 14945, 5937, 15753, 14646, 7441, 13034, 3615, 476, 10957, 15407, 9238, 8801, 5223, 1981, 14711, 6619, 4299, 436, 15272, 2819, 7351, 12534, 8971, 3467, 654, 6360, 5519, 5295, 6943, 14413, 8265, 1036, 4170, 14725, 14330, 1390, 14805, 9722, 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5962, 3803, 6301, 8757, 6335, 1327, 8926, 219, 5215, 3416, 3542, 9919, 7223, 9495, 10040, 10227, 7638, 1558, 10230, 4097, 917, 7804, 5641, 4006, 8353, 5915, 6500, 563, 1263, 10043, 1008, 1581, 9943, 3940, 2940, 5309, 1856, 3842, 1486, 7791, 4740, 6909, 1607, 9733, 7498, 1379, 4889, 101, 7998, 538, 7808, 6645, 837, 5169, 9174, 5344, 6674, 2241, 5893, 3875, 8958, 3276, 6056, 1114, 7257, 7280, 4759, 6628, 9434, 1301, 3281, 7765, 2569, 10202, 3861, 663, 7844, 10070, 1571, 5429, 4634, 3370, 627, 6342, 2951, 10493, 10210, 1433, 7429, 973, 1596, 7855, 9707, 4440, 1808, 5761, 6170, 2290, 7333, 5563, 5832, 2019, 3622, 8314, 2107, 6522, 2188, 5015, 3369, 5237, 3664, 7482, 8282, 2123, 4159, 8137, 6526, 6241, 4235, 4893, 3837, 6925, 3712, 8419, 6952, 5219, 9392, 10510, 2871, 4525, 354, 3924, 2072, 5568, 6184, 6337, 808, 2983, 513, 2482, 10355, 2515, 1067, 619, 6729, 4469, 7684, 4604, 2214, 2903, 9325, 1387, 5164, 4251, 3943, 9425, 7727, 10300, 2764, 9761, 3804, 3306, 6133, 8599, 10334, 7457, 6034, 2356, 6743, 8571, 9050, 5264, 92, 3809, 7768, 9765, 8859, 6711, 3657, 6254, 600, 9823, 1844, 865, 5373, 2483, 5265, 2265, 7282, 1169, 5148, 2590, 10532, 2089, 4519, 1197, 1188, 9978, 7107, 729, 5749, 3568, 1123, 6881, 52, 10368, 1232, 2979, 817, 7256, 1131, 900, 6476, 5143, 1743, 4441, 3549, 7111, 5463, 7660, 3113, 10025, 4302, 349, 4048, 3180, 1888, 4090, 1262, 3029, 3292, 4993, 2818, 6669, 5571, 9068, 527, 10389, 7126, 1371, 8837, 5230, 6974, 716, 477, 5678, 5274, 3574, 4262, 6791, 5236, 1238, 7875, 1891, 7513, 3494, 8560, 4879, 7718, 5495, 2200, 6499, 6004, 6893, 5050, 118, 4029, 2596, 5872, 8096, 9863, 4722, 630, 841, 10431, 6950, 3302, 7281, 7097, 2041, 5737, 8058, 9098, 7943, 8206, 7478, 9033, 4520, 954, 1279, 4852, 187, 4289, 6713, 238, 9167, 3585, 9956, 4972, 9670, 4039, 8333, 8691, 5874, 1269, 4175, 5305, 8530, 9345, 4699, 8888, 8956, 6232, 676, 4326, 5517, 3011, 8703, 26, 6884, 7993, 3304, 7375, 4912, 1857, 8909, 6240, 195, 1996, 3628, 3147, 2573, 5858, 4438, 6188, 4672, 5509, 7249, 6844, 4561, 10119, 7628, 2021, 2224, 682, 7224, 1746, 6572, 8696, 2865, 4792, 3599, 7784, 8594, 299, 2782, 559, 167, 2846, 1322, 4625, 2487, 2293, 4516, 3677, 347, 9379, 9389, 6825, 6334, 256, 7935, 2179, 5371, 1900, 9450, 3854, 5152, 9321, 5632, 8693, 1146, 4340, 3728, 5028, 8667, 38, 2649, 844, 5637, 9505, 5095, 3595, 4051, 1504, 9781, 2522, 5731, 6751, 10280, 7828, 6684, 2433, 6168, 8960, 8240, 6748, 9954, 9596, 5140, 7762, 6647, 4698, 2792, 8508, 2783, 4659, 1207, 7761, 4586, 10251, 9693, 2738, 5493, 9838, 9149, 3556, 1056, 1365, 1572, 3708, 10027, 441, 4622, 6182, 6578, 7857, 2466, 4841, 9938, 4390, 9070, 1392, 5771, 6794, 2558, 3320, 9700, 7963, 6329, 4285, 6074, 1925, 6664, 1231, 9488, 7134, 9744, 2577, 4093, 8816, 579, 7166, 3749, 9683, 7502, 6199, 9466, 1768, 3936, 4911, 6109, 5400, 8201, 10136, 6567, 1658, 7553, 4249, 2843, 6855, 1357, 10390, 1022, 10358, 7790, 4284, 6471, 10084, 8579, 3746, 2219, 7405, 5732, 2403, 8072, 9582, 9739, 5882, 6021, 4076, 1579, 4273, 8787, 10515, 3200, 8762, 6806, 5686, 9221, 1506, 7899, 4139, 2004, 10339, 479, 583, 2235, 9584, 4704, 5368, 9393, 9543, 3219, 1043, 87, 4720, 4887, 6043, 10112, 5046, 1030, 7124, 424, 10282, 3930, 6468, 9969, 6835, 10052, 4450, 790, 4860, 7566, 1601, 932, 6975, 5052, 8826, 1949, 6061, 7582, 8918, 3604, 2514, 6759, 4481, 7066, 8232, 8399, 2857, 10261, 1370, 3319, 9067, 1434, 4408, 6159, 1791, 6851, 44, 10408, 4726, 7750, 3684, 9056, 3044, 2719, 8095, 1271, 4928, 5837, 2736, 2007, 10184, 2416, 10092, 7349, 2297, 7072, 2220, 7841, 9521, 6224, 7347, 5675, 1788, 5682, 2507, 10505, 4329, 270, 3719, 7135, 9457, 392, 3656, 8389, 5262, 9385, 941, 85, 475, 6397, 5179, 9857, 6710, 8780, 3087, 10169, 1530, 1798, 4999, 3714, 9160, 2547, 7383, 7776, 6082, 6259, 487, 6434, 8511, 1846, 59, 112, 1878, 6033, 1055, 8445, 6815, 9502, 2545, 3195, 6588, 8178, 3158, 1897, 629, 10140, 7040, 5121, 315, 10361, 3372, 4836, 4953, 8973, 1762, 2595, 10196, 15, 7865, 5394, 3023, 2996, 3429, 1503, 2274, 126, 4901, 4177, 5117, 8016, 194, 3663, 7298, 3758, 4715, 5718, 1985, 8410, 4223, 6424, 445, 1470, 3242, 3025, 4371, 7758, 6709, 9705, 4298, 5701, 9124, 3386, 1076, 7321, 10005, 7018, 8683, 2798, 4700, 6724, 4185, 2412, 3184, 857, 959, 2995, 3624, 6643, 3189, 5501, 1729, 1156, 2901, 792, 3500, 4190, 4746, 9429, 6783, 4456, 4073, 2663, 3166, 2744, 6427, 2666, 4156, 9768, 6503, 321, 495, 1908, 6609, 8320, 1763, 5778, 3282, 6564, 1276, 4231, 4524, 2368, 882, 4346, 1933, 10106, 9245, 9555, 68, 5348, 8788, 8060, 2751, 7075, 2641, 1060, 6454, 7470, 10160, 3489, 9556, 9241, 9214, 5975, 274, 10242, 9137, 8463, 316, 1115, 5726, 9546, 700, 1255, 346, 5844, 5788, 10046, 7741, 3405, 1859, 7472, 10528, 8091, 5256, 3587, 8832, 2774, 4886, 3900, 2407, 1099, 838, 7779, 701, 9852, 10266, 1296, 7737, 662, 4021, 3679, 880, 9037, 9272, 5679, 8131, 3771, 2770, 154, 294, 1307, 506, 10362, 9218, 4383, 5929, 3106, 4869, 9219, 8301, 7812, 9899, 10432, 4795, 4050, 391, 9144, 8251, 3038, 5003, 2812, 9446, 2349, 9819, 322, 8329, 7894, 10163, 1454, 7489, 3919, 831, 1404, 5963, 9338, 10127, 10423, 5131, 9120, 4557, 7000, 1179, 3164, 6003, 1096, 889, 3366, 7354, 5943, 3908, 5314, 5313, 7528, 5961, 7359, 7026, 5794, 7009, 5860, 6472, 4311, 9564, 5213, 450, 3612, 1347, 4426, 5939, 1905, 6703, 3122, 1024, 4317, 7483, 8744, 3672, 2447, 5809, 6779, 6995, 2154, 5817, 228, 4152, 5698, 1086, 9080, 9387, 2580, 67, 5594, 6965, 2384, 6581, 94, 7449, 339, 7202, 9072, 1435, 3896, 7468, 3404, 5524, 3646, 2294, 4628, 8486, 2298, 383, 3374, 8209, 8450, 7104, 1720, 4495, 8141, 1308, 2439, 9839, 8420, 1356, 9608, 1682, 3408, 10236, 8188, 4007, 3335, 2851, 4859, 10117, 9146, 1528, 8487, 2479, 8298, 3074, 1250, 5403, 2780, 6999, 9498, 232, 7864, 6313, 1214, 3368, 1532, 4819, 7982, 4462, 8335, 5352, 7847, 9871, 3345, 8823, 4146, 9633, 6131, 9102, 5425, 1124, 7053, 4793, 6719, 8891, 2357, 7652, 5646, 6583, 6202, 10258, 7789, 4199, 372, 6763, 3569, 4304, 5056, 5482, 8574, 367, 3442, 5460, 8544, 3047, 6164, 8014, 8737, 6135, 1780, 5987, 3314, 10011, 3745, 5333, 8311, 7197, 3488, 7101, 10081, 4858, 1870, 2173, 1604, 5835, 6269, 1324, 9350, 3800, 1629, 7510, 7355, 1417, 2026, 1195, 9621, 939, 3594, 447, 3892, 8589, 2155, 7780, 3945, 6428, 7204, 214, 271, 2936, 8974, 9414, 4668, 10294, 268, 5916, 1325, 10151, 7925, 5037, 7320, 3129, 3761, 3653, 4794, 3356, 2949, 4963, 9932, 8338, 3537, 3802, 6399, 1412, 8373, 7649, 1148, 1597, 7077, 1710, 9790, 8603, 381, 2786, 5743, 2119, 242, 86, 8247, 7305, 1027, 1394, 8241, 8680, 9669, 7511, 7155, 10521, 1171, 8622, 6145, 223, 9613, 7990, 4276, 2429, 928, 5756, 7060, 3650, 5085, 4078, 9931, 9332, 7010, 3239, 4314, 9396, 5106, 4610, 5937, 6760, 2260, 3552, 9829, 10482, 3194, 377, 4736, 3583, 440, 4116, 2787, 2924, 632, 5719, 7558, 685, 5139, 6528, 6272, 6866, 1244, 5848, 2059, 6506, 5101, 3963, 10444, 6960, 3903, 1559, 4184, 8242, 3134, 9637, 431, 4496, 226, 5345, 10006, 448, 8964, 5917, 9968, 3768, 2083, 1073, 553, 4205, 2672, 2115, 6655, 6938, 9190, 3954, 6340, 3449, 9132, 8249, 10087, 5547, 7240, 5132, 657, 2803, 7291, 8705, 3553, 4107, 3191, 6171, 8455, 4372, 3851, 6338, 8875, 8520, 5067, 7555, 4683, 6945, 6838, 3614, 4478, 376, 10207, 1049, 7093, 4809, 2885, 5551, 7316, 7774, 8512, 8294, 879, 5877, 7284, 1223, 903, 10024, 2734, 5736, 1298, 7852, 2636, 5692, 5735, 6910, 2015, 9130, 3510, 10306, 6332, 1517, 4505, 4415, 6360, 6376, 7203, 4354, 7842, 8514, 7361, 3232, 8980, 7069, 8106, 919, 9597, 7220, 7602, 4022, 4754, 1090, 5120, 2304, 2706, 5239, 6716, 2844, 8766, 2742, 8038, 1565, 569, 6398, 10166, 3361, 1708, 4092, 2486, 7946, 7329, 8545, 3202, 7440, 642, 9319, 10379, 9257, 3667, 9195, 5177, 9917, 5723, 2034, 3540, 6865, 1336, 6283, 1282, 10467, 4620, 257, 8287, 1742, 10297, 10020, 8151, 4706, 9289, 7277, 4772, 281, 2481, 5681, 7838, 8844, 3545, 6598, 8799, 2043, 9235, 846, 6246, 8911, 5311, 3336, 3407, 10057, 430, 4229, 132, 4486, 10318, 6683, 6190, 961, 10061, 9804, 9376, 2973, 4989, 1116, 8796, 7800, 7816, 7331, 6412, 9568, 5671, 9649, 9834, 9639, 5711, 7184, 565, 578, 2993, 9783, 10531, 6486, 4774, 9020, 2761, 2127, 2793, 8795, 4716, 105, 328, 2585, 4466, 7751, 4829, 1376, 5146, 9845, 6213, 1633, 3022, 7366, 5481, 6770, 9420, 8134, 8499, 610, 5064, 7404, 10054, 3765, 7141, 3743, 10115, 2797, 6872, 464, 2316, 5851, 3939, 708, 7573, 7658, 2557, 4782, 1164, 2277, 4367, 7127, 9826, 3234, 7586, 3243, 9587, 6551, 8838, 6966, 9155, 1686, 8359, 4842, 2907, 9028, 8651, 4755, 4427, 9286, 1876, 9470, 9212, 2777, 5600, 6497, 1438, 1892, 6970, 9573, 2723, 6201, 1218, 7529, 2572, 4948, 2673, 8613, 418, 586, 3944, 2921, 4830, 3485, 3307, 3773, 3210, 9078, 5658, 6673, 10268, 8969, 9920, 10440, 9888, 5952, 1639, 2157, 7380, 2957, 1967, 2823, 3153, 9117, 2755, 7041, 5857, 4297, 6831, 4977, 10395, 7488, 6260, 5474, 7025, 3140, 1664, 3512, 8107, 4514, 9939, 141, 4897, 10478, 3640, 3841, 4066, 5240, 7419, 7837, 1980, 6873, 2366, 4492, 95, 1441, 4973, 4435, 5865, 2453, 3162, 9743, 9618, 2450, 5467, 8187, 3267, 2805, 8968, 8369, 9121, 10155, 8382, 5006, 5343, 5965, 4096, 4714, 9165, 3097, 20, 677, 9877, 31, 5505, 7918, 1136, 1272, 9523, 4907, 5606, 7797, 9390, 5438, 9771, 1507, 8325, 2269, 6382, 3465, 839, 8183, 678, 7253, 9284, 785, 9288, 5104, 8208, 2272, 4020, 3156, 7714, 3912, 5498, 365, 7782, 8465, 6853, 2114, 4929, 5218, 200, 4796, 202, 8425, 7845, 5485, 1962, 9557, 2898, 9293, 5744, 5151, 3337, 6688, 6780, 9474, 798, 4052, 7293, 10491, 1634, 6243, 1894, 235, 5745, 6798, 4894, 3419, 4848, 8724, 4271, 8388, 6527, 9736, 10413, 236, 7193, 4380, 7992, 2044, 6531, 10465, 7753, 2870, 9787, 9196, 4294, 7213, 1602, 2897, 655, 4300, 1369, 8461, 2540, 1984, 9902, 2081, 5733, 10380, 10107, 3367, 7348, 1718, 9934, 244, 5830, 207, 5590, 8922, 4467, 1792, 9997, 7110, 2337, 7659, 3699, 159, 75, 4127, 4255, 3713, 2740, 9911, 1521, 7480, 3208, 306, 6944, 533, 8214, 8468, 2769, 4881, 4778, 3682, 9692, 2597, 6596, 10041, 4220, 4454, 6799, 3197, 8959, 3973, 4253, 8109, 10284, 531, 2958, 4279, 6225, 7196, 6009, 1229, 9244, 3229, 227, 2578, 8883, 4445, 4871, 4752, 8255, 9710, 5634, 2009, 4410, 7965, 6934, 10279, 3955, 8254, 10182, 127, 9616, 5954, 7516, 4465, 8818, 2603, 3579, 8519, 8258, 6356, 36, 7217, 6285, 3755, 9302, 1427, 8148, 3950, 309, 6208, 528, 2198, 10438, 7208, 4988, 1777, 5766, 5138, 3905, 10114, 8161, 8422, 1350, 5432, 4490, 2524, 7167, 1902, 8004, 9460, 2360, 7390, 303, 4996, 3426, 1070, 1804, 5086, 8793, 7045, 9868, 6092, 8336, 7599, 8030, 1739, 5773, 6458, 9653, 7995, 5653, 9563, 9774, 2784, 3535, 4477, 8500, 4405, 9365, 3411, 2441, 5629, 5910, 3152, 784, 1217, 4669, 8280, 3410, 9858, 9820, 7311, 9266, 3897, 3079, 2469, 10097, 5059, 3994, 4899, 558, 856, 7987, 4938, 7974, 6, 2976, 2496, 9805, 2550, 6632, 5416, 4730, 4866, 2699, 8406, 897, 2697, 10516, 4134, 421, 7259, 7048, 3220, 10352, 6560, 8794, 7849, 2318, 10426, 965, 2190, 8274, 9536, 434, 4821, 5468, 6646, 4689, 10471, 4623, 395, 5760, 9660, 1652, 6614, 8521, 5691, 1283, 9552, 1153, 4670, 2443, 7024, 7802, 3211, 114, 8085, 8921, 9672, 4742, 2541, 225, 3363, 7896, 6955, 6687, 8146, 949, 6310, 9542, 8850, 8721, 4376, 4360, 9301, 3984, 7876, 6076, 6833, 517, 2373, 4679, 8581, 7743, 4268, 8610, 605, 3947, 1190, 818, 6731, 5836, 6797, 2227, 5446, 8863, 9755, 6183, 9718, 6653, 8825, 6354, 914, 7763, 2977, 4770, 7401, 8564, 7958, 8231, 8739, 10080, 909, 4077, 4288, 5114, 2868, 10189, 3157, 3716, 5012, 9463, 183, 616, 9052, 9148, 2605, 7759, 4075, 4609, 4094, 2561, 1219, 1890, 1575, 5530, 3584, 9730, 1600, 9220, 998, 5124, 969, 8874, 1786, 10373, 4378, 8981, 10409, 1344, 3824, 944, 7290, 1828, 5776, 9827, 1163, 8504, 7323, 2410, 4448, 6954, 1332, 3730, 2544, 7158, 6362, 7226, 2055, 6754, 7920, 2266, 10093, 1995, 103, 6266, 2087, 1499, 1539, 410, 6548, 278, 6023, 9690, 5162, 2232, 3351, 4018, 2644, 4562, 7109, 10445, 2727, 4280, 10050, 10420, 6316, 2340, 947, 3528, 4599, 7174, 1595, 7102, 2279, 4937, 8292, 2724, 3558, 384, 7319, 6878, 5647, 7464, 9484, 8754, 10146, 930, 1109, 8764, 3472, 2351, 3632, 8334, 8002, 6807, 772, 9867, 9232, 2354, 8458, 9400, 6115, 5024, 4539, 5663, 5492, 10000, 7919, 9927, 2136, 8120, 1361, 4161, 7574, 1127, 4216, 10185, 190, 1473, 5820, 3644, 575, 10073, 7046, 1568, 8059, 5531, 9576, 8193, 9185, 5806, 7074, 2414, 10247, 7279, 9051, 8505, 416, 4162, 9569, 3850, 5925, 9423, 6085, 9828, 1605, 7701, 835, 3045, 7546, 9645, 9441, 5282, 10062, 3142, 8876, 9504, 16, 6641, 5098, 3737, 4308, 9197, 3853, 2891, 7128, 3021, 6229, 8547, 5490, 2202, 6443, 806, 4403, 10180, 3626, 3362, 9704, 8877, 8144, 4307, 2191, 1010, 6963, 7188, 603, 2389, 9135, 1772, 1923, 1904, 6191, 3012, 5880, 8889, 3186, 6281, 4461, 10113, 5827, 10364, 1834, 343, 3826, 8069, 2495, 2588, 9643, 8566, 8062, 9364, 9544, 6231, 6351, 9749, 1766, 10344, 10069, 9724, 10229, 3972, 4010, 8057, 5702, 3254, 6401, 4946, 10316, 2142, 2856, 5826, 1647, 5092, 5621, 5063, 6544, 1823, 7378, 2530, 1497, 8758, 4192, 10245, 6764, 30, 2088, 6914, 255, 7576, 4053, 10, 3262, 10203, 6769, 2249, 9036, 7387, 1048, 6203, 3041, 6096, 7216, 1266, 3226, 5550, 1104, 9550, 1388, 10475, 3840, 4896, 188, 3058, 1799, 8306, 2531, 9599, 8213, 7981, 3391, 10067, 2975, 4636, 3474, 976, 8604, 2238, 1626, 6132, 4421, 8411, 8257, 1812, 53, 8210, 6678, 5165, 7091, 3291, 6741, 1202, 2665, 2315, 7385, 6396, 6289, 9368, 9719, 486, 4926, 5741, 2796, 6441, 6419, 6055, 3271, 6988, 3466, 584, 4254, 508, 8238, 2739, 7772, 3381, 8035, 9436, 8228, 5430, 4451, 7561, 9357, 10374, 7903, 3610, 8664, 4779, 3000, 5892, 4234, 960, 1669, 529, 2472, 2187, 4364, 8063, 9753, 4595, 7680, 9662, 341, 5978, 9849, 6586, 1, 1725, 1047, 196, 1256, 2773, 9885, 1092, 7129, 8385, 8269, 9497, 2920, 8701, 2613, 1403, 6941, 2271, 1252, 9172, 9295, 9097, 6600, 2223, 828, 4230, 4851, 6217, 7178, 2820, 8755, 1297, 2878, 5445, 5417, 10010, 4554, 8039, 9122, 8378, 9424, 7667, 9110, 2994, 3382, 3383, 8401, 3764, 2398, 6487, 2056, 6657, 9874, 9725, 332, 5387, 2642, 4597, 3131, 6998, 2707, 8260, 7082, 617, 7930, 10447, 1383, 8456, 3870, 5470, 2702, 3451, 6696, 9038, 8977, 4098, 3921, 7396, 5233, 9156, 9740, 10078, 4507, 6253, 6248, 3100, 6423, 8517, 6067, 4043, 6525, 8140, 7303, 6302, 9203, 4362, 229, 10456, 3959, 1338, 5972, 832, 5924, 9972, 2018, 8679, 4095, 3884, 1724, 8252, 9336, 9906, 2630, 4471, 220, 8454, 4316, 2201, 1594, 3155, 4270, 5950, 6365, 8526, 7614, 5458, 8119, 2685, 1360, 5533, 3251, 1526, 3348, 2156, 1709, 10287, 3060, 182, 6445, 7189, 9294, 1931, 9133, 8912, 4591, 9075, 2141, 5229, 6886, 8184, 6341, 7520, 4607, 9432, 2646, 10512, 5985, 3247, 3046, 5538, 1699, 3798, 2143, 820, 9606, 1606, 6391, 999, 7033, 8740, 7983, 9652, 9491, 2861, 3477, 4328, 8848, 10496, 3756, 5210, 2582, 4278, 8961, 4870, 3741, 2286, 9351, 10047, 4890, 8753, 7923, 1157, 7702, 2554, 6929, 5395, 788, 6405, 2628, 1462, 660, 6406, 3133, 4529, 9763, 987, 3294, 7137, 4425, 5648, 7721, 4564, 6204, 6900, 203, 1004, 5039, 6523, 5619, 5980, 1770, 4064, 8428, 407, 4677, 4186, 1711, 1945, 5567, 3280, 4857, 10218, 8718, 1166, 8361, 9518, 6943, 7065, 1437, 7030, 6250, 10190, 5949, 2808, 10500, 9398, 2020, 9407, 6070, 9276, 7173, 4191, 6826, 4204, 4727, 8190, 5884, 2708, 6661, 10470, 1187, 929, 7332, 4987, 335, 8308, 9996, 14, 4203, 2889, 8418, 3068, 8535, 581, 4000, 1960, 3415, 9789, 3750, 1662, 2478, 438, 4974, 5308, 3181, 1877, 2763, 4151, 10402, 265, 3515, 2555, 5786, 711, 9844, 614, 2352, 8634, 7929, 749, 2080, 1550, 5421, 2653, 3776, 3355, 4951, 8408, 2583, 4432, 4395, 7273, 3387, 4322, 6455, 8440, 3785, 9960, 8285, 4763, 1760, 6411, 3342, 8996, 906, 2510, 3290, 7392, 9299, 5981, 8836, 6804, 6603, 2454, 6592, 5096, 1349, 9314, 7115, 7624, 8810, 801, 3193, 1520, 2308, 10188, 6959, 9107, 4943, 1881, 9884, 10336, 8784, 1193, 6046, 704, 7503, 659, 6181, 1721, 5461, 9433, 7351, 6951, 7169, 7900, 4222, 9012, 5180, 7312, 8573, 1882, 885, 5334, 6924, 6882, 4656, 4994, 907, 4032, 10007, 3269, 184, 3876, 4133, 2438, 1678, 5118, 355, 9359, 6610, 4856, 4183, 9377, 4737, 3192, 1692, 3256, 2106, 2167, 2633, 2204, 10137, 9976, 1398, 3329, 1632, 2456, 460, 5336, 2050, 2205, 6604, 4436, 330, 6169, 1914, 5833, 8015, 5411, 2728, 7247, 7690, 8786, 6638, 1472, 6510, 4028, 3992, 6387, 318, 10396, 3906, 3390, 8899, 2538, 7096, 7917, 1544, 12, 6721, 6737, 6256, 1088, 7246, 8738, 1851, 7839, 4783, 3379, 3125, 482, 5134, 4420, 3346, 4553, 1771, 10486, 8829, 7170, 2014, 4083, 9094, 9986, 5223, 3788, 291, 10385, 4422, 5602, 7643, 8665, 2637, 3272, 3145, 7996, 6394, 9455, 2802, 6949, 8800, 7601, 7518, 7324, 2016, 991, 5163, 5193, 5631, 3078, 8685, 626, 6599, 1694, 2449, 10525, 5722, 10286, 4831, 654, 3966, 2346, 4396, 8158, 8882, 2753, 64, 2733, 10138, 3300, 3475, 82, 9367, 4880, 364, 3130, 875, 4030, 7685, 10171, 3460, 9760, 1285, 8221, 3763, 3806, 9815, 8759, 1502, 1542, 5201, 2245, 1028, 6448, 6312, 8590, 5797, 3541, 7519, 3521, 7264, 779, 6577, 6718, 1707, 2374, 4592, 1235, 9914, 735, 1590, 2677, 10079, 2607, 5103, 3693, 8225, 8551, 6736, 2199, 1714, 2962, 3310, 3995, 9313, 2807, 5083, 4085, 9918, 2296, 5133, 10523, 8111, 2989, 27, 116, 56, 2455, 6659, 2291, 6308, 4797, 4375, 4853, 7479, 3621, 3638, 1906, 296, 2432, 9566, 10314, 5000, 374, 3647, 8942, 6753, 8027, 3929, 7747, 5342, 2168, 8518, 8005, 6607, 3365, 6002, 10407, 4954, 8291, 6032, 5036, 10321, 8064, 7619, 2444, 10354, 4725, 9208, 5676, 644, 8572, 7939, 155, 1134, 4827, 8279, 8390, 1442, 2369, 3503, 307, 4301, 2120, 10204, 5540, 4355, 3450, 8121, 3830, 3409, 1555, 382, 4054, 7258, 7694, 9456, 2876, 2329, 2255, 5364, 6620, 8975, 6540, 283, 4358, 4202, 1865, 10123, 1751, 10225, 4393, 1351, 3322, 10524, 10463, 4447, 4112, 4344, 1573, 9074, 3480, 4353, 5502, 4086, 1620, 8054, 5714, 2161, 5251, 9248, 4658, 4169, 4850, 1991, 3330, 1731, 2066, 4306, 7017, 6207, 4582, 446, 7604, 8175, 2732, 9009, 3882, 8982, 331, 5863, 633, 9892, 7052, 7369, 1578, 6930, 2174, 6616, 6891, 1430, 7548, 6239, 1149, 9176, 4596, 8154, 5200, 7594, 9085, 10298, 4062, 6766, 152, 6111, 1516, 9641, 8593, 6682, 4178, 7882, 5661, 6299, 1329, 6177, 1450, 2365, 6298, 4247, 5803, 2196, 3935, 5378, 8025, 4665, 8708, 4392, 2834, 2700, 7705, 6097, 3533, 1498, 4005, 2998, 8, 147, 10335, 9903, 9054, 2012, 8312, 3019, 4468, 466, 3838, 2046, 9430, 10045, 9731, 5469, 2762, 1341, 6993, 5173, 10051, 2574, 8767, 3613, 292, 4442, 974, 10417, 1643, 9970, 10120, 4995, 8433, 2022, 3575, 6565, 2333, 4563, 3932, 198, 9449, 5451, 4483, 1457, 6263, 3230, 1061, 8925, 359, 9531, 9125, 2842, 9471, 79, 834, 5687, 84, 3636, 6449, 6536, 1705, 9175, 8297, 5781, 8088, 2170, 8036, 9777, 10272, 373, 1727, 7007, 2933, 715, 8001, 4846, 7095, 9975, 4643, 6270, 3731, 8452, 5108, 8470, 179, 7352, 3487, 7368, 3117, 4320, 2722, 5026, 2505, 4167, 402, 2972, 1998, 7991, 10309, 1989, 921, 573, 5081, 9533, 3781, 2709, 1735, 2122, 763, 3188, 1522, 2565, 9088, 3505, 706, 7206, 6101, 9588, 4965, 5170, 9517, 9711, 9480, 3907, 6589, 6660, 5168, 19, 9004, 3799, 7901, 8611, 10509, 344, 5534, 1728, 7411, 7088, 9198, 5919, 1697, 5427, 7080, 2852, 3235, 8365, 6937, 590, 8270, 7294, 5598, 7308, 6971, 9577, 10371, 6809, 9462, 5161, 3822, 4198, 8376, 3933, 7085, 9848, 10253, 7893, 9648, 7810, 1536, 2359, 1421, 7767, 3509, 5993, 1698, 830, 7977, 9802, 2875, 4379, 3205, 5112, 131, 1097, 2442, 2275, 1288, 1023, 6473, 6795, 7459, 5532, 1342, 8644, 1173, 2077, 2680, 724, 7022, 5819, 3898, 1975, 8597, 5312, 2078, 386, 9310, 6154, 9560, 7004, 10211, 9173, 9501, 3313, 6896, 8395, 10327, 409, 10213, 896, 3623, 2910, 2512, 5126, 4211, 6856, 6064, 8896, 9192, 4144, 7435, 1650, 8316, 2419, 1098, 4626, 9438, 7148, 851, 1103, 10273, 4330, 1410, 8442, 4100, 5747, 9226, 369, 504, 3328, 7534, 9059, 1293, 3564, 234, 3917, 9685, 8625, 2775, 7394, 943, 5988, 1924, 5562, 9883, 9126, 10254, 7634, 1983, 9963, 9216, 8011, 5122, 2195, 3245, 502, 6715, 7205, 9006, 4180, 6830, 5370, 2984, 5839, 5405, 9411, 6124, 1513, 9026, 870, 2323, 4644, 7568, 6210, 6895, 4632, 9751, 10307, 4003, 5926, 8563, 301, 2031, 2586, 5713, 5599, 1912, 3779, 8653, 4036, 9793, 5894, 791, 9090, 10036, 4444, 9619, 3035, 7508, 7242, 9397, 8207, 2091, 1953, 9448, 5971, 262, 9500, 5931, 6482, 6122, 4895, 6529, 8940, 5685, 1333, 5855, 1389, 8220, 1713, 8907, 6416, 404, 2213, 6636, 10234, 1754, 9237, 8979, 1119, 6257, 5125, 10116, 3402, 1531, 9373, 2499, 7090, 3252, 9363, 2011, 2084, 3174, 3582, 2720, 1032, 813, 10148, 6192, 1646, 6018, 1668, 9199, 5941, 6816, 7172, 3725, 673, 1872, 1443, 6385, 10035, 7834, 7286, 7777, 4647, 10239, 6885, 7475, 4614, 2771, 387, 2879, 8272, 6922, 9084, 7937, 10439, 2166, 7846, 2788, 10452, 3523, 6828, 6758, 3544, 9113, 3453, 6568, 6574, 3685, 22, 5927, 1112, 8953, 7863, 1519, 8719, 260, 66, 3308, 10303, 9057, 8379, 8495, 5583, 6707, 1302, 7445, 5185, 9297, 1151, 780, 1961, 3891, 1511, 9224, 6106, 6671, 2682, 6904, 3338, 2617, 4221, 5159, 829, 4947, 9001, 8471, 7949, 2689, 2242, 3715, 2529, 8548, 4074, 10044, 263, 869, 5157, 10232, 1956, 5044, 4182, 709, 1740, 3981, 10343, 10235, 1439, 7542, 1638, 4497, 854, 5903, 8040, 9246, 7388, 2094, 130, 6350, 5455, 9426, 8229, 4446, 1210, 2411, 8523, 21, 5197, 2813, 7232, 5765, 6477, 589, 158, 1020, 4489, 7360, 3760, 9259, 1866, 9581, 8191, 6549, 5973, 28, 8426, 1494, 8075, 10068, 7306, 9183, 8748, 5554, 971, 5419, 7884, 8473, 3778, 5018, 9842, 8716, 6267, 3655, 8047, 6108, 3090, 6837, 3139, 4228, 6908, 1653, 5374, 3110, 1695, 7613, 1869, 10250, 5091, 9855, 7964, 2005, 9134, 9157, 6415, 759, 2378, 6652, 1310, 5807, 4201, 9042, 10404, 5642, 7584, 3815, 913, 8132, 9998, 8277, 6558, 1062, 6585, 10162, 4120, 6948, 7393, 342, 1827, 3525, 7426, 3160, 6501, 9630, 6007, 3863, 8421, 760, 3385, 5580, 6388, 8769, 2624, 5304, 6369, 5759, 1424, 4290, 2847, 7807, 5870, 6513, 6490, 10179, 7087, 9698, 10034, 2491, 1071, 4767, 253, 2480, 4768, 8185, 6782, 2, 10310, 7557, 6593, 5007, 6819, 615, 2790, 924, 5549, 5624, 8631, 4798, 1130, 6651, 9154, 8898, 4812, 8790, 9111, 176, 6694, 4125, 4218, 3616, 7131, 3033, 5523, 9988, 1702, 3635, 787, 8627, 5516, 362, 7108, 4522, 7268, 394, 1139, 6141, 8497, 7182, 6644, 2566, 6176, 8904, 3332, 8695, 5486, 7106, 4430, 9354, 8729, 6042, 1382, 509, 9465, 3257, 7230, 4824, 1759, 7862, 429, 1051, 239, 4058, 5389, 4011, 7827, 1150, 2923, 4939, 5716, 8713, 5457, 1518, 2370, 7484, 922, 734, 7523, 9990, 1635, 8873, 10347, 6811, 1396, 8763, 7346, 9315, 1175, 166, 3067, 1939, 2759, 10071, 3887, 3204, 5477, 10488, 6290, 5128, 1957, 10330, 10265, 9977, 2828, 1863, 4014, 1366, 1033, 3899, 5406, 721, 2111, 1077, 6953, 1821, 9048, 4790, 731, 353, 7446, 50, 2140, 8160, 9346, 5911, 2267, 9316, 1886, 9735, 4560, 1795, 695, 8990, 4291, 5792, 4350, 6939, 9816, 1456, 3312, 1631, 4875, 6692, 8080, 1944, 3524, 3536, 9624, 597, 1625, 178, 3196, 8657, 5273, 4804, 3375, 3260, 6539, 4832, 4806, 4641, 1465, 2887, 6345, 9623, 6010, 8616, 4631, 1468, 6892, 5966, 1608, 561, 3495, 6625, 10442, 5801, 9958, 9282, 3461, 9922, 1306, 2096, 7564, 2621, 2884, 3311, 7453, 9524, 689, 1723, 1107, 250, 9876, 10168, 4206, 4104, 3249, 10205, 1918, 10029, 144, 3455, 805, 3318, 1683, 9343, 8715, 4138, 7585, 9558, 5909, 5449, 5576, 9966, 7313, 7365, 933, 1053, 5992, 10353, 45, 6282, 249, 5367, 10479, 9590, 601, 5257, 5199, 1007, 4084, 4962, 1490, 1281, 3937, 9671, 6381, 2845, 5423, 8656, 8262, 560, 5420, 3735, 5326, 6336, 8248, 2358, 10406, 2785, 10083, 319, 4611, 7441, 762, 8529, 4633, 881, 990, 2097, 1965, 6542, 4908, 6991, 9360, 4598, 8115, 4723, 5557, 6788, 6827, 7112, 493, 10021, 2386, 10056, 8052, 8954, 516, 9150, 3185, 7327, 4499, 10018, 4443, 1839, 1243, 8596, 5633, 3285, 6314, 4523, 3013, 9014, 8493, 8371, 9872, 6557, 2589, 1901, 8624, 2415, 5656, 8821, 7953, 272, 78, 9957, 934, 4547, 3988, 1861, 7655, 2032, 7928, 1174, 1621, 2362, 9527, 1245, 8381, 6606, 6044, 8602, 4150, 231, 73, 7198, 2776, 952, 5228, 8174, 6457, 4984, 6670, 8139, 10484, 7221, 4616, 206, 3565, 7736, 25, 7858, 1732, 9069, 1120, 3096, 6402, 10346, 3790, 7122, 4552, 6677, 7179, 1423, 1864, 210, 2234, 1615, 7157, 7617, 4219, 2049, 9708, 9640, 9189, 7123, 3611, 9655, 2406, 304, 4738, 2794, 1016, 9128, 3154, 6364, 1841, 643, 1822, 5688, 5612, 9609, 7915, 7430, 3264, 8852, 3002, 4816, 9837, 4666, 873, 5242, 2571, 2310, 3812, 1893, 6421, 3642, 8933, 7222, 4213, 4037, 6493, 5772, 6370, 9811, 9182, 72, 4844, 9168, 1589, 157, 8322, 500, 4624, 2313, 1143, 7210, 3514, 3001, 6422, 9697, 9515, 7733, 1471, 106, 4905, 425, 9267, 8934, 201, 9292, 7295, 3686, 1898, 3754, 5998, 1545, 7003, 1916, 6146, 8846, 3990, 5818, 1524, 6480, 10365, 9853, 10075, 4356, 4764, 4209, 5222, 9071, 4158, 2639, 5401, 666, 7703, 9300, 420, 3729, 4411, 4337, 609, 8941, 3163, 8324, 10228, 6230, 5178, 5584, 7700, 5176, 8988, 5174, 4214, 7185, 9925, 4493, 812, 1021, 3522, 2562, 3168, 8861, 1972, 9658, 437, 2177, 9910, 8966, 8198, 6249, 4413, 10058, 9840, 47, 449, 8833, 7522, 1401, 4310, 6271, 2568, 4828, 334, 5295, 6219, 7600, 8474, 4825, 5593, 4651, 8944, 5011, 3873, 6304, 6390, 9865, 4173, 9859, 5078, 2322, 8475, 3734, 4916, 8485, 8773, 8176, 4601, 8957, 10231, 3879, 7616, 7831, 6679, 799, 6167, 9011, 7543, 4207, 7509, 6686, 9358, 5816, 986, 4708, 4933, 23, 6615, 145, 3517, 9287, 9442, 8531, 3793, 2137, 7897, 6601, 9238, 10449, 7742, 5084, 6935, 5383, 8778, 9109, 6563, 1264, 1186, 5898, 4732, 324, 5280, 1078, 3357, 5969, 6323, 1215, 10131, 2525, 2100, 1108, 3848, 4250, 6635, 9674, 5489, 5324, 2210, 5695, 5464, 9989, 5979, 5645, 7583, 2147, 3651, 970, 3506, 6576, 6005, 8584, 5217, 3786, 9627, 9127, 4193, 5746, 3807, 3084, 2328, 1220, 5810, 9580, 10425, 5381, 10243, 8303, 3784, 7343, 10418, 3502, 2576, 3286, 8332, 8261, 1586, 2327, 1648, 2982, 756, 6306, 9322, 9256, 6990, 2103, 10375, 123, 4293, 6245, 5519, 1896, 5543, 3724, 9225, 9617, 2965, 7975, 8429, 2652, 10063, 9405, 6840, 7381, 4931, 6491, 1813, 3231, 439, 2474, 8815, 9027, 5739, 1734, 1354, 2567, 8955, 6031, 7706, 6701, 10356, 3978, 4067, 9229, 5225, 5767, 5065, 2750, 6375, 2184, 9656, 827, 9687, 497, 4283, 7031, 3434, 7860, 208, 2917, 8690, 2010, 9204, 7113, 7416, 4491, 2307, 4388, 5156, 3347, 258, 5586, 744, 251, 9971, 5696, 4401, 5054, 4682, 7623, 3496, 5740, 1546, 8580, 1364, 6280, 942, 8126, 6946, 2104, 6818, 7236, 7951, 1054, 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2999, 6051, 1764, 2745, 8581, 9027, 3446, 4425, 617, 3686, 4501, 5836, 8997, 7595, 5889, 160, 10533, 5468, 4241, 7799, 8034, 10369, 1992, 2583, 8514, 4082, 6525, 6084, 7319, 5564, 205, 5119, 5474, 5879, 9823, 6700, 2797, 9408, 6070, 2157, 2800, 9248, 5815, 1164, 8770, 7336, 5393, 10175, 5900, 541, 6409, 2201, 9939, 423, 5038, 2200, 3724, 1925, 8431, 1620, 176, 4052, 3995, 8993, 804, 10251, 5186, 5262, 3956, 7825, 7495, 6758, 9581, 4817, 557, 3228, 10207, 2490, 9759, 540, 5425, 10378, 6623, 1867, 2625, 6608, 3260, 8693, 7289, 9524, 5180, 6611, 1266, 6303, 6648, 4524, 6312, 7869, 10456, 3267, 8815, 9263, 9335, 2969, 9915, 5283, 10149, 2193, 3680, 313, 9342, 6140, 7093, 2859, 7493, 6695, 673, 7716, 1302, 9223, 5600, 8330, 6466, 1993, 10332, 3940, 3131, 7281, 2538, 10123, 4950, 9399, 8866, 722, 7396, 7361, 4054, 8709, 489, 8492, 1073, 6657, 6777, 9642, 3322, 6544, 4008, 3892, 8185, 990, 1365, 1369, 3119, 2117, 5852, 3125, 7190, 1832, 1823, 6393, 3731, 2465, 4378, 1790, 1801, 4600, 6576, 3202, 10281, 3692, 7497, 1441, 10141, 2803, 9522, 3447, 4265, 7589, 2559, 5458, 6554, 2497, 9675, 2707, 3018, 6111, 5717, 8755, 9414, 2364, 1846, 431, 9691, 367, 4199, 9902, 2353, 753, 2679, 5220, 10007, 4626, 3777, 3609, 7331, 5931, 6499, 9495, 2155, 9620, 5001, 1245, 1483, 4084, 7906, 8823, 2236, 9598, 3821, 362, 2937, 4013, 3178, 2879, 2584, 2279, 8894, 4430, 5882, 1737, 7664, 1708, 7603, 6158, 3493, 2301, 3563, 2481, 8571, 1481, 1666, 873, 10389, 6351, 5434, 2640, 9276, 4518, 4858, 3484, 225, 2358, 6844, 7245, 6688, 6515, 5075, 4741, 847, 7043, 3479, 9022, 1034, 1541, 8958, 6295, 1232, 3511, 2302, 10448, 882, 6625, 5032, 830, 6849, 3774, 7254, 3551, 7445, 7102, 1377, 9612, 8082, 9102, 8465, 1950, 5563, 8506, 8027, 9662, 10157, 6974, 10491, 1268, 1174, 523, 8869, 515, 8303, 7656, 2598, 6152, 3697, 6396, 10405, 2837, 3716, 4158, 5070, 1558, 8521, 2144, 5464, 4287, 1827, 7975, 51, 6205, 9833, 679, 1931, 3976, 1885, 8647, 5078, 1165, 549, 1562, 2281, 6769, 8961, 7250, 7996, 7376, 6733, 1818, 8703, 2854, 7687, 3285, 8658, 8471, 10232, 7728, 2982, 9341, 564, 6285, 2176, 5576, 9376, 4762, 965, 645, 7286, 9963, 8409, 1785, 4786, 7466, 6349, 4350, 5127, 2241, 7325, 5261, 8013, 7125, 2384, 9854, 5387, 4358, 9487, 7742, 7392, 4910, 1435, 9894, 905, 4844, 7417, 1132, 1487, 7936, 9087, 6072, 9468, 2577, 6650, 7453, 5151, 8748, 2274, 2718, 6806, 4705, 3991, 8578, 9996, 158, 4153, 3548, 8983, 1161, 1873, 5223, 5022, 2723, 4541, 10421, 1163, 5917, 6219, 4235, 9097, 6855, 8382, 2265, 7499, 7999, 5989, 224, 5482, 7160, 3753, 2194, 1247, 6587, 6812, 989, 3806, 2308, 6753, 5093, 1865, 4364, 902, 8802, 10327, 10230, 3558, 1653, 6117, 6296, 1250, 9385, 97, 3146, 1949, 3461, 7244, 10483, 4146, 4286, 2319, 9043, 2721, 5539, 10368, 10424, 963, 809, 3354, 8591, 7288, 8767, 10270, 3827, 253, 6024, 6716, 8719, 5526, 1159, 9643, 336, 1218, 8607, 5146, 4481, 8222, 8880, 180, 85, 2817, 7468, 8379, 9722, 7119, 3835, 4816, 7161, 6142, 9077, 4068, 9413, 9976, 9182, 5545, 4373, 3469, 4513, 337, 8412, 1226, 6987, 601, 5469, 5473, 6501, 7154, 1856, 2089, 2210, 9204, 9934, 759, 1391, 2928, 8567, 4537, 1135, 7270, 4021, 3578, 3667, 4178, 944, 7741, 3998, 10220, 9969, 1285, 3262, 3782, 9389, 929, 8430, 3630, 4571, 9521, 9690, 4033, 7666, 327, 1370, 4824, 7500, 2781, 3496, 5066, 866, 8816, 3405, 9829, 5523, 2463, 3494, 9960, 6079, 1496, 4596, 3598, 5046, 1459, 1386, 7032, 2691, 2275, 9706, 4913, 4124, 9162, 2134, 8397, 5583, 5217, 1282, 2998, 8416, 4514, 2628, 378, 4608, 9544, 9076, 6965, 4152, 3498, 8732, 5762, 8838, 6751, 470, 2355, 2555, 6683, 9252, 6216, 8907, 706, 9483, 148, 615, 5498, 9703, 6016, 9730, 562, 1068, 2801, 66, 1900, 4342, 4527, 1112, 1982, 3196, 6747, 3722, 1897, 8536, 1118, 5176, 3800, 3352, 4347, 5383, 10490, 4335, 9624, 4944, 958, 9196, 6200, 8865, 4340, 6912, 2636, 3566, 7174, 1713, 4323, 9528, 3790, 9863, 5244, 3190, 3088, 184, 5886, 2174, 6226, 6659, 239, 5862, 4752, 6797, 9355, 6011, 7324, 2225, 6666, 9175, 4422, 5793, 4226, 6400, 885, 1638, 6639, 602, 3930, 7021, 8788, 10148, 2660, 10397, 5754, 10072, 7116, 3967, 827, 10271, 231, 2541, 1342, 3805, 3031, 5980, 5910, 10131, 9746, 8047, 9117, 5185, 8611, 6817, 7362, 4468, 10079, 430, 1244, 5885, 5641, 3347, 7351, 4908, 4088, 9352, 5592, 10172, 1303, 6927, 7516, 6242, 5164, 9990, 9689, 10062, 9951, 3702, 8256, 3069, 3703, 3474, 44, 227, 3000, 4038, 6235, 7069, 2771, 5745, 3487, 2943, 6376, 9748, 1108, 432, 9089, 3388, 2327, 8393, 3029, 7111, 9696, 5796, 7408, 6909, 7805, 6316, 9880, 10316, 5566, 9825, 9762, 4451, 8714, 9323, 7727, 7610, 5735, 6178, 3057, 5241, 6148, 8649, 3866, 511, 5927, 4184, 2994, 9197, 3754, 6302, 1621, 2256, 2567, 9870, 4478, 6954, 5375, 2245, 10189, 4628, 6362, 1082, 4840, 10465, 9888, 6058, 5316, 1533, 104, 6399, 4212, 957, 7748, 9115, 9184, 10411, 1182, 6663, 1623, 9597, 7451, 2865, 8125, 4343, 1501, 4254, 8273, 3713, 2525, 746, 2689, 2455, 9779, 1103, 3659, 40, 9783, 5415, 1858, 8923, 8307, 3530, 6131, 1204, 8155, 8209, 1387, 6159, 703, 8963, 2654, 10433, 2856, 729, 6498, 10323, 3099, 5076, 7921, 4694, 1921, 4463, 5675, 10375, 1659, 3683, 1210, 1627, 8207, 10474, 4675, 2581, 1442, 9270, 9572, 5365, 9265, 8764, 6739, 2806, 7743, 9917, 3919, 7423, 10372, 2518, 7052, 7915, 6261, 9668, 394, 8283, 7844, 7109, 4447, 9476, 9586, 2561, 5993, 6746, 510, 7452, 8798, 3570, 3428, 1142, 10127, 7692, 2171, 8604, 3552, 6494, 9205, 10460, 6878, 7907, 6864, 783, 981, 5002, 4876, 6966, 6882, 10043, 969, 4147, 4947, 4686, 7167, 1301, 9085, 636, 3594, 3762, 7817, 9518, 4953, 4861, 5991, 6953, 3891, 761, 8148, 536, 6367, 4229, 6798, 7711, 6496, 6326, 249, 1072, 8594, 1953, 6435, 129, 883, 5145, 2586, 8906, 4448, 5643, 7482, 9156, 5704, 4246, 7593, 384, 1489, 8236, 3350, 2243, 9671, 4680, 1044, 7673, 9382, 7789, 1779, 8962, 7890, 3430, 3869, 6618, 9890, 7700, 8205, 2669, 3421, 8626, 9332, 196, 5082, 3095, 6914, 2777, 3205, 6127, 3138, 6647, 7675, 1768, 396, 8018, 3191, 5117, 1491, 4461, 2389, 5424, 10097, 7861, 4181, 3149, 7518, 8560, 5866, 7737, 5494, 970, 5738, 2324, 3092, 6830, 2391, 4515, 782, 490, 9375, 7424, 5045, 8566, 6569, 80, 8289, 2403, 8179, 5225, 9136, 8144, 8342, 3596, 1793, 769, 9448, 632, 5774, 10452, 5654, 4655, 4440, 5751, 8181, 1555, 656, 9186, 4778, 1585, 4404, 9589, 4489, 7166, 1602, 8099, 931, 9724, 3637, 1433, 6999, 1705, 8588, 9061, 4710, 6516, 1199, 4273, 7733, 1811, 9155, 1171, 4441, 5452, 1234, 4946, 1851, 7465, 9469, 1887, 4669, 2036, 5666, 6872, 9429, 10119, 459, 7002, 10201, 3407, 1825, 2185, 8651, 9535, 7079, 488, 8423, 86, 8979, 6983, 2057, 2743, 2951, 7231, 5831, 3450, 9410, 2699, 9984, 2309, 10168, 2216, 8744, 8212, 9692, 1166, 7436, 4219, 7703, 7422, 10268, 8120, 4047, 597, 6685, 5624, 9036, 10075, 1290, 6822, 8655, 5358, 10494, 3898, 7597, 1209, 2052, 5123, 421, 9647, 4933, 1249, 6843, 10012, 650, 7831, 9106, 8037, 8383, 7128, 6426, 3245, 10182, 2045, 4697, 8890, 2188, 9325, 3473, 4132, 6451, 751, 2237, 3141, 5250, 210, 8170, 2076, 2769, 967, 573, 6564, 9491, 736, 3845, 1799, 3054, 4557, 454, 10257, 2334, 9930, 6245, 796, 10509, 2095, 3640, 4929, 5849, 5703, 4939, 1227, 4061, 8326, 2992, 2421, 6240, 8071, 7696, 865, 6418, 9679, 3001, 565, 7937, 4118, 9883, 9641, 9616, 7400, 7567, 8886, 6250, 1710, 9442, 5012, 195, 8271, 3335, 8873, 5495, 9947, 2136, 150, 9591, 6207, 5515, 5609, 6048, 7835, 2900, 7958, 5720, 4907, 2459, 1239, 1243, 1157, 6447, 2562, 9231, 9075, 10306, 5911, 6237, 7217, 5623, 6031, 4156, 6252, 1734, 4698, 6429, 1548, 6962, 8344, 5828, 9898, 1276, 1205, 857, 2298, 2675, 4361, 3165, 5722, 7180, 1088, 1434, 8805, 9463, 2641, 444, 8187, 3370, 5996, 5630, 1426, 4408, 4016, 2011, 9149, 352, 4359, 6274, 7395, 3066, 1657, 5884, 6579, 5355, 8759, 7826, 2811, 3257, 9655, 9831, 4014, 276, 3928, 4257, 5865, 4243, 9134, 9493, 1872, 3265, 3801, 3486, 5660, 3989, 9755, 7456, 4134, 3004, 315, 4854, 2996, 6723, 8867, 9632, 2430, 7118, 9644, 481, 136, 7814, 9069, 5854, 2408, 3373, 6314, 3242, 3814, 3122, 1991, 5614, 6470, 5084, 4850, 2609, 3755, 3514, 3431, 7365, 2878, 1924, 2418, 5604, 4562, 7117, 4658, 9344, 8990, 3118, 1309, 5776, 8305, 8163, 2318, 10496, 5361, 4803, 5645, 1397, 9244, 737, 4923, 9942, 3369, 5204, 8182, 10244, 1111, 9126, 7629, 8184, 9985, 137, 3605, 8435, 7639, 7298, 10390, 1996, 7942, 3427, 6385, 2650, 2513, 8149, 9896, 7697, 478, 1382, 8707, 9822, 7226, 4889, 220, 9812, 4315, 6530, 2876, 9961, 8438, 2820, 2874, 10042, 6702, 4971, 7880, 7725, 2770, 5463, 614, 7631, 5690, 4670, 6796, 774, 4977, 8583, 216, 3276, 202, 4666, 3618, 3756, 3972, 8934, 7951, 3878, 6910, 5106, 8820, 3873, 2186, 117, 6279, 4549, 8490, 10513, 10264, 9781, 6297, 2775, 10, 2110, 2013, 10004, 3019, 6713, 3441, 5148, 9723, 6612, 7980, 3652, 2227, 7344, 9943, 3992, 3915, 5574, 6622, 3761, 5390, 6066, 2592, 3224, 4476, 9081, 7080, 314, 5780, 2440, 10240, 6900, 7714, 7070, 881, 9804, 7867, 1633, 937, 2350, 6640, 8619, 9654, 2300, 6382, 10455, 9667, 9026, 4278, 4554, 312, 7578, 8008, 52, 1321, 4102, 3306, 8736, 3439, 6204, 3926, 2686, 3364, 9962, 300, 4696, 4125, 4196, 7961, 9369, 7588, 6641, 910, 1220, 9010, 6889, 874, 6896, 4811, 1776, 424, 3815, 9843, 7870, 5518, 6467, 6180, 1468, 8791, 8697, 1938, 10394, 10512, 8154, 8555, 9047, 2105, 1937, 1984, 1405, 4390, 10055, 3051, 8826, 9394, 8822, 9321, 7022, 5029, 6664, 1513, 777, 8243, 1729, 2703, 3137, 2720, 8127, 3492, 6176, 9840, 7306, 7276, 3169, 9421, 7968, 2843, 1893, 8413, 2685, 10081, 3626, 1488, 2572, 4767, 7142, 6601, 3064, 10381, 1637, 4776, 9357, 2365, 7232, 452, 254, 824, 4755, 4048, 8407, 9416, 9286, 3101, 6790, 2814, 4426, 9234, 7667, 4615, 10302, 9482, 1894, 10164, 6288, 2614, 4232, 6059, 8972, 9057, 6938, 945, 6156, 5710, 3098, 6835, 8253, 4402, 5360, 2798, 7564, 4384, 56, 5881, 10183, 5118, 7706, 9473, 7618, 2704, 10344, 9747, 6643, 9360, 7033, 6991, 4022, 9144, 7246, 2441, 1850, 3850, 1130, 3929, 6502, 4023, 385, 5053, 8546, 7428, 6750, 8265, 1478, 6570, 3221, 10519, 1189, 3163, 4758, 9177, 8691, 3520, 8003, 4540, 496, 2116, 9547, 3953, 6874, 10337, 1289, 5265, 7405, 3491, 6486, 3933, 4532, 9878, 2044, 6535, 6291, 2615, 5765, 1918, 9222, 4078, 4391, 7184, 107, 7340, 6937, 455, 3785, 3646, 10008, 9212, 3977, 7723, 255, 5744, 1133, 3636, 10401, 7998, 6667, 122, 5294, 10242, 10464, 4003, 4818, 6876, 2140, 2005, 8321, 4322, 3736, 2112, 198, 10451, 5560, 7123, 7429, 9756, 8011, 7536, 4063, 9886, 2026, 793, 9298, 2612, 7679, 6846, 2622, 6903, 6533, 2875, 1660, 3751, 9456, 9070, 8073, 5531, 4206, 8119, 4338, 3902, 6007, 1484, 7525, 2617, 6883, 4060, 1947, 3252, 2835, 10078, 3108, 1775, 1669, 1398, 9238, 1214, 3950, 1826, 9480, 3556, 9227, 7129, 7602, 2955, 4065, 2666, 8799, 3272, 7994, 2410, 6482, 3445, 7397, 10426, 2739, 8790, 8415, 7479, 4431, 5554, 756, 39, 629, 3500, 7333, 10471, 9701, 5667, 8620, 6390, 6187, 1224, 4085, 7932, 9862, 2526, 32, 6415, 6826, 170, 9393, 6807, 8585, 2292, 3547, 8022, 4362, 7352, 9373, 4031, 6035, 9348, 1911, 3389, 9100, 7029, 626, 3503, 784, 7404, 10422, 7765, 5846, 8831, 9904, 9562, 7467, 3077, 5655, 8357, 4165, 8024, 5632, 9653, 3642, 8933, 4189, 248, 4375, 939, 2589, 9459, 5618, 1545, 10272, 9278, 2215, 1126, 7329, 113, 3984, 7860, 3629, 7273, 533, 10096, 2398, 6942, 2500, 1988, 3386, 3784, 5867, 1425, 5437, 9172, 6709, 9543, 1438, 9426, 8461, 75, 9199, 7198, 8336, 4149, 7803, 243, 9359, 3687, 9305, 709, 10418, 2431, 2978, 4222, 3488, 2366, 5699, 5627, 5575, 8589, 1326, 4745, 7790, 2361, 344, 4327, 4831, 5830, 9865, 8006, 6784, 9157, 4519, 5740, 5588, 3307, 10118, 3279, 7776, 3975, 9869, 9603, 5149, 6561, 894, 2908, 2788, 1217, 9422, 4098, 9678, 2478, 1771, 9206, 3960, 6174, 8199, 10485, 6869, 6538, 8345, 7586, 1263, 4111, 10129, 2162, 4685, 8540, 1017, 1844, 4740, 9964, 90, 4123, 9181, 7426, 8896, 8504, 925, 9901, 4808, 10305, 639, 1870, 3678, 7852, 7764, 2655, 8941, 4434, 3908, 3620, 7745, 4539, 8931, 6013, 999, 5125, 5662, 5271, 4597, 2428, 8603, 6548, 8143, 7084, 8247, 1569, 7007, 1464, 5964, 9557, 69, 7402, 486, 332, 1035, 9, 604, 6137, 5590, 5242, 6519, 551, 8464, 4613, 8810, 10420, 592, 5546, 5203, 3864, 2261, 217, 6166, 9742, 6901, 8378, 7113, 4814, 10269, 5251, 1193, 6699, 10416, 2154, 5079, 5593, 8879, 1618, 3471, 3452, 9666, 10179, 1267, 9928, 5504, 8368, 47, 1845, 6607, 1353, 2698, 3434, 7315, 7810, 3275, 9176, 380, 8201, 7, 1970, 10170, 10222, 6848, 8760, 8700, 6075, 5778, 3437, 9753, 9835, 2139, 259, 3766, 1838, 4665, 9941, 3661, 8851, 862, 5353, 8384, 10445, 2189, 7407, 7157, 10153, 2296, 6064, 960, 446, 10457, 10059, 9108, 1983, 4629, 7188, 4763, 4062, 6951, 10342, 6770, 9339, 2993, 7192, 9940, 4812, 10018, 8774, 10092, 8060, 10174, 8718, 2128, 9893, 7855, 9313, 6911, 6231, 4383, 1152, 3572, 5432, 1913, 8843, 6394, 3316, 8010, 6902, 5798, 2700, 959, 8442, 7018, 7928, 6254, 913, 5837, 1714, 9552, 3145, 9388, 1695, 10339, 7800, 7862, 7139, 7060, 2629, 547, 10159, 8165, 2050, 9541, 9803, 1260, 624, 6333, 1273, 6628, 8427, 7808, 3375, 3807, 4887, 5259, 1271, 7144, 409, 1351, 4757, 6917, 7413, 5890, 5578, 4602, 1778, 2863, 8076, 8100, 8429, 2437, 9714, 771, 3148, 4141, 3715, 10053, 4294, 8920, 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3305, 1907, 8638, 4044, 3048, 10030, 6320, 9336, 4567, 4792, 3419, 7607, 4940, 4756, 8177, 4995, 259, 6281, 9744, 4326, 7770, 5866, 9221, 3805, 7298, 1402, 7221, 7773, 3673, 8811, 9342, 2856, 1807, 883, 9177, 192, 7187, 7230, 6283, 1794, 8115, 5675, 1604, 5256, 9942, 9072, 5089, 6388, 431, 9619, 1888, 7159, 3915, 3046, 3090, 114, 3831, 2305, 2166, 905, 2491, 5058, 6180, 6686, 5240, 5335, 2131, 4638, 2820, 1421, 5106, 967, 9446, 6640, 4023, 7731, 1138, 3929, 8839, 675, 831, 7516, 8352, 10370, 1687, 2848, 2638, 5975, 3275, 4819, 485, 4677, 826, 8816, 6113, 6721, 4983, 2391, 997, 8212, 5724, 8466, 9934, 4802, 10061, 2661, 1000, 8137, 3469, 2580, 9533, 7560, 5368, 1991, 6812, 6186, 2527, 10510, 7519, 9622, 4931, 10272, 8884, 6620, 6997, 5098, 2157, 9763, 2911, 2951, 8525, 2060, 1635, 2500, 9053, 4154, 9131, 2671, 8498, 10035, 6694, 9013, 1060, 6786, 1224, 2740, 4896, 8311, 3510, 723, 5298, 4604, 3543, 3456, 6659, 2933, 5754, 6613, 8746, 5179, 8274, 8035, 10406, 4211, 8617, 6237, 9989, 2910, 5932, 5329, 9981, 5150, 2455, 10421, 922, 5585, 2963, 4000, 4473, 7083, 1742, 8305, 3035, 10432, 867, 1690, 6224, 8553, 9705, 452, 4178, 1554, 5855, 8953, 3022, 1703, 4058, 9104, 10127, 3727, 7419, 2800, 4919, 4744, 5746, 8469, 2668, 4767, 4834, 1359, 7138, 6751, 8366, 4074, 6839, 6616, 9155, 993, 3364, 1692, 5573, 2282, 8506, 3479, 4291, 2905, 1278, 2674, 8864, 3724, 1667, 8997, 5919, 386, 3337, 5070, 3272, 7814, 1711, 10473, 9465, 10152, 8409, 9219, 2038, 1144, 1157, 5222, 4017, 2003, 2421, 7609, 6915, 2096, 8497, 7853, 3037, 1876, 8209, 9061, 8327, 2252, 9079, 9344, 617, 5186, 7682, 8165, 3963, 3375, 5560, 4114, 5692, 4157, 1969, 654, 9773, 8698, 8991, 9922, 4408, 2650, 6903, 7231, 6858, 8387, 9938, 8456, 6492, 4121, 1234, 566, 4141, 422, 3683, 9091, 9629, 10001, 7193, 7072, 3785, 7990, 6527, 7512, 1512, 6630, 2879, 7667, 1412, 2916, 3896, 4864, 1088, 4751, 4956, 4639, 8044, 3562, 2691, 817, 5034, 3792, 7876, 8048, 262, 2567, 3125, 1029, 7601, 361, 3106, 7585, 4166, 1266, 7856, 6420, 7308, 7440, 9548, 2515, 2446, 8184, 8179, 8429, 9554, 7740, 4663, 763, 3368, 6633, 10083, 9098, 10158, 1924, 3421, 4672, 1375, 5008, 582, 6865, 1049, 7248, 8661, 9009, 6169, 8025, 2358, 2314, 3823, 4969, 6956, 5463, 8016, 5540, 8445, 10025, 8520, 9965, 2498, 4544, 759, 9578, 5299, 7090, 3887, 7265, 1766, 3135, 1337, 987, 3651, 1828, 1513, 520, 6277, 4701, 7552, 983, 5638, 71, 1013, 2735, 3222, 6891, 7309, 8867, 1754, 9544, 742, 6014, 2642, 5149, 7955, 324, 5254, 3881, 4911, 1394, 5047, 1189, 6660, 1268, 5983, 3939, 344, 5701, 7316, 3299, 5822, 5414, 6057, 7571, 6615, 7119, 3277, 5385, 10385, 7535, 5849, 6039, 973, 130, 10265, 3914, 2699, 4565, 7497, 5281, 3878, 4011, 5347, 8089, 8094, 2737, 2039, 5887, 10012, 642, 1493, 3989, 8692, 9295, 5243, 7716, 3002, 9380, 9016, 4780, 3256, 782, 8979, 7427, 5483, 2702, 7375, 637, 9997, 6190, 6122, 8430, 2212, 6598, 6435, 6824, 6717, 7786, 7004, 8342, 9008, 1586, 5939, 10374, 6966, 630, 7579, 772, 7665, 4132, 9508, 6175, 7073, 7000, 6236, 2128, 9191, 4707, 6345, 4261, 1363, 6279, 3388, 5743, 7627, 10255, 585, 897, 7808, 2829, 9513, 4008, 1378, 8367, 2747, 4198, 7720, 6982, 1478, 8677, 3530, 281, 9844, 4571, 5925, 4680, 2521, 4183, 3369, 370, 9610, 2736, 9167, 1521, 6819, 5336, 662, 229, 2469, 2636, 1811, 486, 10089, 9517, 10112, 5796, 10189, 9674, 4642, 7288, 7957, 2179, 5416, 9156, 5289, 1520, 2480, 4230, 4089, 5547, 2924, 7102, 7534, 4557, 6286, 4195, 8037, 6513, 5623, 6002, 7561, 6352, 9356, 328, 2535, 3230, 4840, 8534, 10441, 10047, 69, 6447, 5650, 6359, 5162, 4966, 4143, 2004, 9486, 9830, 8167, 9152, 7467, 4641, 5290, 333, 8883, 5545, 9741, 457, 10239, 3903, 98, 5301, 839, 4319, 980, 7470, 1243, 8453, 5734, 8299, 4691, 9059, 718, 5251, 9514, 6570, 10138, 3781, 8046, 10401, 4432, 5783, 10450, 3144, 2239, 553, 9370, 619, 9074, 10071, 9590, 2529, 1131, 6710, 7545, 47, 4012, 2442, 6782, 898, 1696, 9733, 8980, 2386, 3188, 5372, 4745, 1091, 3293, 6323, 995, 8417, 10042, 3010, 2586, 10194, 4927, 6543, 5954, 9682, 5497, 2203, 5521, 10523, 376, 4666, 3320, 4965, 8071, 6282, 1233, 6919, 9742, 3855, 5657, 7910, 1976, 9443, 3068, 9071, 1242, 5141, 1167, 1873, 7197, 5943, 1593, 5563, 6004, 3391, 1369, 4723, 1531, 991, 9461, 8072, 9376, 6650, 5282, 3687, 2987, 1743, 4262, 4203, 3050, 10444, 8004, 9555, 9183, 2384, 7725, 4702, 5119, 4747, 2380, 6764, 8393, 3453, 6138, 6706, 8695, 4469, 9153, 7065, 3019, 5703, 6124, 6209, 7820, 3822, 4934, 10290, 10119, 6396, 1953, 8639, 3136, 7076, 4104, 8665, 543, 1582, 6885, 3084, 660, 8379, 8934, 7596, 7420, 2264, 18, 3117, 6009, 241, 225, 204, 3544, 3818, 8533, 10494, 9090, 4282, 4019, 3156, 5386, 1105, 1292, 8041, 1762, 1923, 6305, 1377, 2108, 459, 5774, 2005, 872, 506, 2981, 4812, 4091, 9805, 1432, 2467, 4892, 6893, 4055, 9976, 1028, 8407, 5489, 1878, 854, 8146, 9482, 6535, 2999, 3003, 10516, 5173, 143, 3648, 7128, 3971, 10453, 3735, 1620, 1851, 7183, 9546, 1434, 171, 9381, 5959, 6454, 4920, 712, 6502, 2376, 10420, 7007, 8127, 9933, 3949, 6994, 9276, 10000, 4210, 509, 9940, 470, 6484, 6402, 10440, 4882, 694, 6021, 4072, 3327, 2582, 594, 9998, 3072, 8588, 6026, 8176, 5797, 4165, 10302, 6976, 4485, 5977, 2078, 3483, 8784, 3587, 3089, 990, 821, 8253, 1121, 6095, 3631, 7437, 4267, 2261, 5174, 1358, 6573, 3629, 10067, 5798, 3667, 8408, 1202, 4415, 8902, 6311, 3036, 7688, 3770, 7326, 6260, 6875, 4825, 9967, 2534, 1664, 7889, 3213, 9306, 3385, 155, 4735, 3797, 3358, 776, 9333, 4117, 9760, 7531, 2801, 8276, 9761, 8535, 4445, 4752, 8740, 9880, 10491, 4670, 100, 2318, 6210, 4124, 8085, 9313, 1039, 4502, 5600, 874, 4171, 2244, 3096, 9721, 9955, 1108, 1110, 1950, 6799, 3526, 1571, 2964, 2164, 1776, 2971, 8775, 5810, 3450, 7335, 8796, 2171, 3897, 584, 4421, 4248, 3564, 8104, 9007, 7863, 8649, 113, 2411, 9087, 160, 6635, 10531, 7333, 2780, 8913, 8576, 4386, 6178, 4569, 3584, 8648, 7940, 10390, 2199, 2755, 3768, 1095, 645, 9541, 570, 8727, 8975, 9349, 8878, 4193, 7668, 94, 1960, 9553, 2645, 3127, 7590, 1566, 5708, 9840, 2683, 5175, 1053, 5926, 2100, 1461, 2444, 3304, 9650, 3216, 9615, 6278, 4392, 6257, 7832, 10064, 8790, 4056, 9101, 7384, 5681, 9634, 6384, 5285, 1506, 6439, 2765, 4385, 3777, 4285, 7635, 825, 9975, 559, 9623, 6608, 9707, 8853, 2158, 6192, 359, 6304, 554, 7499, 6607, 7683, 4552, 9251, 1973, 7480, 8256, 6709, 5060, 5643, 5009, 3287, 6766, 558, 5247, 4455, 4904, 951, 7842, 3840, 2761, 4915, 8291, 6197, 211, 6591, 5086, 1964, 960, 2230, 3115, 1018, 3119, 3497, 5167, 4486, 4560, 5053, 663, 5358, 8227, 3934, 2107, 6804, 3306, 5453, 1240, 5013, 10426, 3698, 1717, 6497, 6394, 8279, 4793, 581, 4610, 5668, 1938, 6499, 9289, 2037, 8147, 9439, 1963, 4442, 6848, 7155, 3291, 3163, 545, 8620, 8383, 2741, 4854, 4963, 9738, 1284, 2518, 1945, 190, 651, 633, 6944, 514, 5608, 3832, 1280, 3423, 10135, 768, 10103, 5811, 7324, 605, 1567, 7544, 8164, 6775, 6179, 9304, 4377, 1251, 5187, 9092, 5528, 561, 9384, 7140, 9203, 9394, 6409, 1256, 8180, 781, 6807, 9227, 6177, 8213, 7805, 5498, 8467, 153, 7410, 1270, 7556, 8321, 5899, 568, 4024, 10145, 8386, 773, 4010, 7784, 2627, 9716, 2594, 1462, 6933, 4759, 3457, 6669, 9862, 9358, 5765, 10357, 10074, 7100, 1040, 505, 5026, 1502, 341, 3901, 8101, 3451, 75, 3772, 2532, 6072, 9870, 1982, 6427, 7806, 4001, 816, 3470, 6248, 3876, 1736, 6688, 8655, 4554, 3378, 6269, 6395, 189, 5420, 5605, 1914, 1147, 7852, 10351, 7256, 8848, 4280, 10041, 352, 562, 3998, 2774, 7929, 8439, 2082, 469, 516, 3235, 2938, 2018, 576, 4364, 5513, 9216, 8128, 4522, 5021, 400, 2201, 7142, 3384, 7363, 1884, 7953, 4220, 3551, 7478, 7650, 643, 3827, 5976, 9882, 8251, 188, 7687, 7500, 9359, 5041, 5090, 7554, 6348, 7845, 6397, 9563, 477, 1485, 1117, 794, 798, 1252, 3270, 1559, 7883, 4320, 7042, 6418, 6829, 5046, 5791, 4312, 4794, 2462, 7857, 5831, 7983, 2573, 5867, 863, 2065, 6172, 8987, 7095, 7789, 3996, 3041, 10167, 3764, 2776, 8047, 6474, 4584, 7903, 7904, 4817, 4156, 2127, 3397, 7905, 2211, 2908, 6856, 9311, 2278, 448, 5027, 8889, 2622, 2772, 7203, 5360, 5522, 5118, 365, 5996, 593, 2051, 4668, 9655, 1010, 10428, 8713, 9505, 8672, 6321, 3976, 9391, 9788, 3433, 3839, 8262, 8122, 9488, 6611, 1436, 9049, 3142, 9083, 4676, 7964, 7541, 253, 5493, 9725, 2703, 2419, 7548, 6696, 1350, 9559, 7266, 2246, 6262, 706, 793, 767, 567, 3705, 7056, 7323, 7715, 1285, 8926, 6593, 5132, 9105, 2617, 4123, 2651, 3099, 35, 3660, 9740, 7169, 6413, 3132, 855, 1213, 9856, 363, 3313, 3217, 2053, 2091, 8131, 9818, 7690, 3485, 7735, 3149, 847, 6670, 5237, 8543, 785, 2150, 214, 9335, 8138, 7209, 2360, 4119, 4180, 6392, 5501, 8418, 1655, 2273, 4162, 8703, 9660, 3623, 8787, 8175, 144, 1171, 3633, 6041, 5268, 7591, 9314, 3802, 473, 8316, 2181, 5455, 3077, 1797, 3904, 8772, 4175, 9375, 2692, 409, 9050, 9003, 9067, 1281, 4327, 5320, 9498, 589, 6770, 1411, 5466, 10369, 6644, 610, 1348, 9525, 10264, 6548, 8561, 10468, 557, 4405, 8477, 2348, 9492, 3608, 4357, 8729, 10325, 6087, 3662, 731, 9411, 4063, 1572, 327, 2748, 7028, 8275, 7686, 3055, 2160, 1930, 9950, 1387, 4933, 8614, 3888, 10154, 6047, 5570, 3294, 1320, 1115, 5629, 8689, 6214, 10184, 5367, 6781, 9506, 314, 2145, 2389, 3416, 681, 7963, 3539, 8658, 7124, 3446, 1632, 791, 5291, 10076, 3347, 7733, 2379, 7865, 5812, 4343, 383, 3509, 1258, 3763, 809, 3044, 2335, 5382, 8451, 105, 2058, 10099, 2184, 7800, 4026, 9800, 364, 2812, 9873, 9949, 865, 7143, 1119, 7632, 179, 3884, 7900, 9724, 1325, 6693, 6216, 7061, 5566, 5896, 1710, 9456, 7776, 10130, 3183, 2427, 8850, 5403, 9700, 2119, 4712, 6307, 10286, 10191, 9645, 891, 6347, 2762, 4609, 6756, 149, 6536, 4367, 1928, 848, 8026, 2441, 3464, 6792, 2568, 1057, 3365, 8043, 2877, 8021, 322, 5361, 4218, 9972, 3129, 3766, 10400, 1474, 10303, 6170, 6373, 5341, 3685, 7761, 8006, 1864, 1518, 6408, 2293, 2052, 4681, 7315, 4331, 10430, 7329, 334, 3950, 9659, 8607, 6699, 4594, 9073, 8523, 1408, 6731, 2426, 4446, 2878, 10037, 9324, 8062, 7378, 10256, 8434, 4553, 280, 5068, 2044, 9298, 7882, 4083, 1150, 1475, 7788, 2760, 5971, 2276, 2013, 964, 5499, 1212, 7689, 6218, 5802, 3404, 478, 9567, 1494, 10387, 6800, 8635, 5343, 6871, 10467, 1291, 8948, 4950, 2542, 1301, 6952, 5817, 2698, 9274, 9859, 8960, 3239, 6227, 9332, 9222, 3639, 7928, 975, 1061, 6163, 4172, 2313, 7602, 8893, 5978, 5067, 10498, 2837, 1829, 4452, 10486, 6743, 5393, 2863, 4036, 40, 2139, 10062, 6005, 906, 9585, 1477, 34, 8082, 1003, 1027, 711, 5126, 19, 8307, 2196, 8810, 6747, 8454, 1503, 1619, 4841, 4390, 1838, 8132, 10527, 6988, 3141, 4835, 5116, 10063, 9613, 1094, 8503, 6663, 7113, 2523, 1798, 3981, 9145, 7287, 8587, 3024, 3396, 9988, 501, 8459, 8106, 6814, 927, 3296, 479, 2644, 1526, 738, 1524, 9729, 425, 4228, 3401, 9875, 3458, 9883, 4626, 707, 4936, 10031, 9243, 1326, 1616, 5666, 8250, 3634, 8380, 1336, 1182, 8702, 3571, 2324, 2994, 5900, 455, 6361, 5143, 8470, 1957, 5064, 10198, 8965, 463, 6761, 123, 6325, 4066, 9872, 7954, 8325, 4954, 6295, 7809, 5607, 4484, 212, 10251, 8282, 3482, 4532, 1678, 5835, 1598, 4270, 9211, 6827, 3474, 8763, 3505, 1166, 8052, 3927, 3616, 121, 8424, 1983, 7241, 8526, 9069, 6292, 2425, 3747, 4887, 8441, 4393, 6241, 9132, 6676, 5984, 5470, 4953, 10321, 3733, 1770, 1249, 9768, 2701, 7141, 10261, 8400, 9475, 737, 8487, 3637, 10121, 6675, 9231, 7508, 8066, 7671, 6008, 9458, 8585, 9906, 10317, 7890, 2085, 7305, 8364, 6017, 9408, 7651, 9215, 5625, 7533, 9487, 8618, 9275, 9280, 5875, 7431, 7620, 2008, 8244, 2512, 2672, 9118, 7413, 3049, 8744, 7462, 8603, 6460, 7944, 10036, 7175, 5112, 1306, 1757, 7677, 625, 1211, 2842, 1919, 7976, 3574, 8499, 2632, 1508, 2168, 9330, 1777, 966, 1769, 8329, 5318, 2186, 6393, 8550, 9865, 10115, 5878, 10307, 9918, 5742, 5881, 7736, 3826, 4346, 4112, 4849, 1885, 7219, 3686, 1321, 8405, 6923, 8181, 3681, 6365, 715, 9959, 3515, 2269, 1471, 445, 7778, 9353, 4467, 7125, 9690, 5946, 9123, 7593, 968, 6135, 2595, 9151, 2975, 10466, 2808, 6480, 6425, 658, 3588, 2969, 8545, 5502, 4916, 7251, 10020, 5615, 5156, 6936, 6240, 9214, 5121, 1367, 2035, 1319, 8808, 3591, 4384, 1054, 10146, 8309, 2721, 5785, 7595, 8870, 1504, 5079, 227, 10350, 5858, 8636, 2903, 4652, 2197, 3713, 9759, 6477, 4015, 10511, 5613, 1595, 5733, 9263, 8929, 9509, 938, 9235, 6428, 7026, 10108, 7262, 7906, 8930, 5136, 607, 7685, 9855, 5226, 2090, 9612, 7972, 803, 704, 2359, 10068, 6191, 9633, 2967, 3857, 1640, 7557, 894, 8717, 8916, 2194, 5588, 811, 5005, 6905, 9900, 4860, 5099, 1004, 3666, 3652, 385, 3430, 523, 6457, 9175, 5376, 3224, 9259, 5602, 9886, 4032, 4938, 5076, 2271, 2695, 8567, 8050, 3134, 57, 264, 3795, 8340, 1459, 1392, 7149, 9617, 6385, 5582, 5152, 7382, 4922, 3902, 6220, 3094, 3524, 2066, 1600, 2664, 2694, 301, 2147, 4061, 7539, 9410, 10311, 7078, 3203, 1366, 3582, 9662, 7096, 2743, 6961, 8657, 1912, 2817, 4891, 5045, 2799, 7263, 10295, 1123, 5870, 58, 5488, 8560, 6249, 5363, 3276, 8781, 6450, 3193, 796, 6322, 9877, 8125, 5633, 9237, 3081, 4401, 4075, 8538, 5219, 7662, 354, 9644, 5714, 7107, 8766, 318, 5661, 1136, 2893, 2508, 1861, 10520, 6386, 4945, 10528, 5101, 2548, 3569, 5821, 1190, 6196, 6165, 8428, 7407, 1511, 2655, 3731, 9560, 3803, 9576, 9795, 1250, 2439, 1017, 7369, 9372, 634, 5678, 959, 8426, 4396, 4606, 4616, 9354, 29, 2587, 5415, 5767, 3325, 4025, 3841, 3513, 3961, 7441, 8095, 8055, 6273, 10495, 7655, 379, 522, 1596, 2989, 9463, 6780, 1941, 7205, 4041, 3361, 8368, 3034, 4233, 8579, 5487, 989, 5556, 5807, 1008, 3374, 6930, 3999, 480, 5265, 2281, 895, 4690, 5869, 8944, 7120, 9444, 5988, 3054, 9470, 9307, 1875, 2198, 59, 1232, 4590, 8610, 170, 3556, 5964, 8493, 5135, 7487, 8788, 3258, 2591, 10267, 7445, 5063, 1773, 6440, 4086, 5217, 750, 3752, 8722, 2809, 10106, 6254, 5465, 10149, 402, 3938, 3184, 9291, 3056, 9158, 2095, 881, 4160, 9777, 9401, 3771, 358, 5038, 4775, 8901, 7154, 3599, 1637, 5646, 325, 5780, 10109, 2129, 9656, 5562, 7220, 10343, 133, 1315, 8582, 4414, 8596, 9889, 4807, 4287, 8840, 1611, 7121, 4188, 2185, 7235, 10462, 8785, 5730, 10056, 7505, 9455, 8126, 2144, 9635, 9651, 1441, 4739, 7643, 9676, 2398, 1309, 6995, 9185, 5252, 1580, 5820, 2771, 6700, 3744, 10316, 9887, 7313, 837, 10221, 2841, 9620, 9484, 5756, 6475, 10078, 9943, 6539, 26, 9722, 2397, 8395, 4174, 5391, 862, 4363, 1458, 9201, 4097, 2011, 908, 2676, 1364, 8077, 4548, 4850, 417, 3028, 6051, 3154, 9202, 5985, 8637, 2962, 1716, 9459, 1109, 2753, 4764, 1113, 9154, 7862, 4424, 6040, 2069, 8932, 1174, 7553, 7747, 10105, 2432, 6252, 1160, 8365, 3970, 6391, 2960, 3535, 2403, 5019, 2604, 2751, 4588, 5564, 5362, 7438, 6405, 5571, 3040, 2545, 4719, 1255, 1374, 1727, 682, 8874, 2311, 9086, 6013, 5157, 2393, 6955, 4587, 7293, 4623, 9431, 6545, 7172, 8747, 4382, 3131, 3438, 1084, 10150, 8215, 7931, 5130, 7350, 3250, 5664, 788, 1849, 4493, 5781, 932, 3773, 8920, 8334, 4898, 2745, 3392, 3329, 5815, 5731, 868, 6774, 518, 1629, 9099, 9397, 10253, 8479, 6031, 1597, 258, 10423, 5030, 17, 5620, 9337, 3874, 8625, 3501, 6006, 6146, 6746, 9190, 9677, 8475, 8303, 9500, 4749, 3466, 3210, 5989, 6947, 1207, 2334, 9909, 2055, 3852, 9845, 3837, 2321, 420, 5947, 1297, 8293, 3237, 8601, 3417, 7156, 2408, 4352, 8188, 1738, 2075, 3834, 533, 7679, 6496, 7435, 6479, 841, 6678, 4615, 10318, 338, 4378, 4695, 9317, 1047, 1675, 7746, 9070, 5509, 8322, 3911, 8440, 4334, 8090, 4809, 3779, 4332, 4796, 3936, 3073, 2752, 6597, 6120, 6626, 4279, 8349, 1592, 5189, 5828, 1370, 10126, 4376, 6735, 2103, 1563, 1293, 2656, 10049, 10262, 2603, 3503, 8632, 6954, 7884, 3555, 6070, 6105, 7726, 6462, 9, 6733, 7817, 671, 6205, 4614, 2813, 146, 6127, 9796, 7360, 1277, 14, 7676, 5685, 4715, 3017, 4471, 9779, 1484, 7317, 1705, 7242, 6550, 4163, 1426, 6980, 9641, 5224, 4099, 3477, 3288, 6375, 6043, 10263, 626, 8359, 6421, 5271, 4410, 1627, 10123, 5992, 8124, 2030, 877, 3804, 8261, 2733, 8650, 489, 743, 1824, 6104, 2797, 10448, 10296, 106, 3767, 2558, 7145, 2042, 8801, 6867, 3895, 4905, 635, 1340, 5273, 7383, 9861, 7494, 7227, 5838, 7356, 3130, 3889, 9860, 5962, 6053, 4886, 2711, 1954, 5587, 3706, 950, 3336, 5221, 2221, 9979, 8949, 6149, 7456, 6787, 1577, 2728, 1248, 3147, 9011, 8814, 4109, 3207, 9524, 8837, 7433, 7396, 9454, 6833, 9044, 3700, 5639, 2152, 1634, 2043, 2634, 5134, 3179, 4982, 1947, 3412, 5280, 2308, 4599, 9990, 2115, 6481, 8249, 6810, 9178, 4972, 1649, 2860, 5387, 2647, 7911, 8988, 4159, 2503, 7802, 7349, 4699, 8962, 7306, 7619, 1024, 830, 9694, 2764, 4573, 6998, 3541, 6076, 10174, 764, 1096, 6740, 8277, 1034, 709, 6416, 8376, 4975, 232, 1218, 7301, 81, 5003, 2559, 4380, 1425, 6267, 9993, 8826, 6619, 2287, 7030, 5529, 3581, 1413, 5614, 903, 4181, 6125, 7645, 4108, 696, 4843, 6141, 129, 4805, 6820, 6486, 293, 7732, 7443, 8315, 7582, 784, 3890, 1467, 4349, 8108, 3558, 6788, 4080, 5461, 1752, 7044, 10038, 391, 7506, 5194, 4984, 9832, 2226, 766, 4191, 8968, 2576, 30, 10024, 8770, 8903, 8285, 7880, 1806, 2888, 9757, 9984, 10013, 6967, 9919, 3209, 3879, 6991, 2312, 8272, 5168, 9687, 1741, 6516, 5402, 5366, 9138, 9586, 5619, 7623, 10058, 4356, 762, 2589, 5431, 3848, 1682, 4161, 3128, 9734, 6866, 8954, 736, 8460, 574, 6339, 7472, 10391, 9127, 2088, 1390, 6877, 73, 1534, 3994, 6158, 1836, 7269, 5718, 329, 46, 7244, 2714, 4782, 9914, 3370, 3075, 7127, 8105, 1106, 10393, 6569, 1290, 3611, 4900, 9966, 3578, 4736, 2609, 1329, 7074, 4470, 5250, 2734, 9797, 5973, 3265, 8069, 6925, 7063, 4620, 2700, 24, 1639, 9704, 4264, 4375, 8054, 8468, 9679, 5879, 9715, 8335, 8302, 508, 1473, 3192, 8827, 5719, 9930, 5379, 5930, 251, 6948, 3279, 8168, 1345, 5758, 3155, 8803, 10293, 6906, 1487, 1032, 8099, 7331, 8187, 10493, 2087, 3059, 4430, 3011, 5696, 10329, 3061, 3281, 9551, 5690, 4513, 450, 2561, 844, 2161, 7457, 3972, 9532, 5771, 9347, 6482, 4633, 6442, 10098, 8081, 984, 10446, 4683, 2254, 3051, 2550, 988, 10470, 7391, 1483, 6033, 9782, 5398, 2828, 6376, 9382, 1734, 2719, 4492, 9424, 1427, 5340, 2162, 10310, 4985, 4094, 9512, 9489, 6234, 4413, 206, 2288, 7212, 126, 389, 8760, 2086, 4619, 4105, 4727, 6999, 141, 9869, 1895, 7649, 1547, 2392, 5557, 7108, 5510, 2330, 1184, 8161, 1237, 1463, 7023, 303, 3021, 9686, 5961, 2222, 6684, 3000, 5477, 1565, 8010, 5161, 6881, 6514, 3846, 3877, 3363, 8990, 6701, 5824, 195, 10324, 8375, 6687, 87, 8958, 3786, 3739, 4598, 8148, 840, 5491, 7458, 4325, 9549, 9378, 9412, 8351, 6623, 1087, 6942, 3121, 9802, 9014, 9745, 10137, 4208, 7379, 3120, 8668, 1373, 2148, 7151, 2016, 2114, 7694, 7428, 9320, 3317, 6712, 7165, 7581, 3379, 2494, 6317, 4479, 9969, 7495, 10278, 9584, 1168, 3113, 8758, 7374, 4651, 4769, 10515, 6845, 797, 10247, 4060, 10207, 3707, 9257, 8851, 4988, 7874, 343, 9793, 5626, 7035, 7530, 8425, 4149, 2499, 3867, 2834, 4496, 1165, 244, 4234, 8399, 6791, 2958, 3471, 2806, 362, 8170, 6362, 6016, 1622, 1362, 9270, 2513, 10045, 3172, 7938, 4439, 5073, 1744, 2815, 6230, 8166, 7538, 673, 10027, 563, 1118, 1748, 2665, 5645, 10300, 15, 3137, 9671, 9995, 1064, 4829, 5213, 5484, 935, 7002, 8197, 6695, 89, 6098, 4092, 10375, 7536, 1543, 7225, 7284, 4603, 10270, 873, 1239, 411, 2300, 7768, 5652, 2562, 6503, 3774, 9093, 4910, 1035, 3109, 5759, 10513, 8191, 4724, 4632, 9953, 5832, 4303, 441, 2378, 6755, 4054, 200, 3783, 919, 3399, 10283, 6763, 8088, 9543, 9106, 4973, 3264, 2851, 2704, 6066, 3678, 9435, 1926, 5826, 5353, 4826, 3263, 2750, 5762, 10220, 10454, 4648, 6246, 8007, 7834, 405, 8705, 465, 6297, 2756, 1587, 245, 2623, 2266, 7700, 3835, 2715, 7774, 1380, 5891, 1080, 4305, 8029, 999, 10381, 1883, 699, 8214, 3753, 7750, 10110, 6985, 4589, 4617, 2677, 340, 1759, 5982, 2625, 3322, 2036, 4804, 1076, 2852, 1680, 7098, 5775, 10525, 9643, 8951, 5575, 443, 6953, 726, 9737, 3253, 9438, 888, 9888, 1469, 5520, 7050, 1179, 2556, 8159, 3083, 95, 2681, 2843, 6504, 3610, 2370, 6316, 7186, 5597, 5311, 4837, 6136, 3553, 1929, 1641, 1341, 544, 9702, 3695, 10411, 10087, 4482, 8756, 5480, 9019, 1140, 1843, 9472, 5449, 5651, 8370, 8633, 273, 5594, 8711, 4863, 128, 3380, 9398, 1070, 606, 5300, 378, 4857, 6846, 8447, 2689, 1558, 1158, 9040, 9731, 9596, 7447, 2880, 5908, 8624, 2245, 2126, 498, 3622, 7122, 6531, 5302, 8163, 9066, 7417, 4908, 5203, 7597, 4217, 6685, 1464, 2483, 5447, 9752, 2844, 9309, 896, 4201, 6019, 9632, 9024, 3177, 1025, 234, 1397, 3594, 8646, 1241, 1553, 2805, 1800, 1673, 487, 1636, 8458, 1809, 3352, 2577, 3487, 4601, 4187, 9798, 6151, 1014, 5687, 4252, 4731, 3219, 2725, 5153, 8817, 4622, 4717, 1745, 4562, 7639, 2922, 7977, 6600, 661, 3577, 7351, 3905, 6355, 9994, 1100, 5766, 9765, 5044, 1023, 3656, 205, 8546, 4519, 8117, 5146, 9605, 10085, 9088, 104, 8983, 2228, 10471, 9187, 6795, 10342, 4359, 8186, 4509, 573, 5833, 1274, 6758, 9750, 9241, 3326, 6162, 760, 1267, 7821, 5969, 4987, 8478, 4453, 3759, 3488, 4098, 1801, 44, 4538, 5695, 5479, 8881, 2280, 1775, 3212, 1206, 1152, 6796, 7150, 5769, 5022, 3490, 7625, 931, 5941, 834, 4671, 6493, 1870, 3661, 9232, 2976, 7134, 8080, 7161, 6046, 2206, 10429, 6379, 3755, 3138, 7234, 111, 6077, 6984, 3473, 269, 9048, 527, 323, 755, 9256, 3547, 5864, 4852, 6771, 2434, 3644, 9348, 4781, 9901, 4527, 4960, 8415, 1311, 8504, 4186, 196, 9128, 8446, 5686, 1416, 4968, 1530, 10308, 8670, 5676, 2118, 9812, 9826, 374, 8628, 5909, 2399, 330, 3496, 10090, 2256, 802, 369, 3340, 7574, 6996, 8551, 4730, 7630, 6931, 9312, 2779, 5279, 13, 5700, 4101, 474, 4144, 3957, 4777, 9147, 8694, 6255, 2788, 5698, 5346, 1169, 4088, 5922, 5981, 5039, 2235, 2136, 3941, 10521, 5010, 7612, 6739, 2937, 4184, 7959, 3894, 6109, 3367, 3605, 7960, 5715, 1009, 4611, 7239, 1814, 6987, 870, 63, 4726, 5469, 10323, 8805, 9703, 5246, 6880, 1845, 3449, 5779, 9783, 1381, 3870, 313, 9012, 250, 1721, 8093, 10484, 1713, 9956, 10507, 154, 8892, 8917, 754, 9580, 4014, 6018, 2870, 5075, 4351, 187, 3533, 3750, 7258, 500, 7589, 2076, 254, 6753, 2707, 9409, 5445, 5304, 4643, 9402, 7941, 7765, 3359, 9754, 2949, 1846, 9522, 8361, 9601, 6089, 5295, 9103, 1339, 5122, 6034, 5375, 1891, 8296, 9558, 6938, 4043, 5883, 3004, 7971, 3454, 1788, 7831, 9437, 10017, 7017, 4949, 4309, 4861, 9784, 1856, 10107, 8225, 1612, 9436, 1925, 887, 3402, 6069, 138, 5410, 3356, 2298, 4096, 941, 1590, 10509, 1229, 2727, 5266, 3720, 4579, 9602, 530, 7967, 9001, 3712, 5111, 7811, 9422, 4658, 8676, 525, 355, 2635, 9300, 3869, 7549, 6520, 6618, 4137, 9843, 9125, 3195, 4016, 3333, 7318, 940, 10188, 1994, 4480, 1990, 10497, 4596, 1334, 3214, 9864, 2770, 7681, 10003, 5505, 6469, 10364, 2344, 5309, 10526, 1254, 5592, 6483, 7886, 8341, 7833, 5535, 8654, 2435, 8854, 3538, 4607, 1695, 8598, 9971, 6423, 2793, 4236, 724, 6542, 2394, 2965, 8347, 7588, 8199, 6854, 8570, 6768, 9006, 9299, 3012, 394, 10345, 6108, 9047, 6351, 1396, 856, 5814, 3886, 944, 3165, 829, 9173, 2447, 1573, 9121, 556, 7493, 3912, 2062, 9497, 899, 8283, 8970, 3100, 627, 10260, 10362, 628, 1424, 7365, 8769, 3164, 3799, 8963, 7713, 2275, 3169, 5704, 2478, 9547, 3257, 1615, 1429, 6085, 2601, 5738, 3372, 1365, 3546, 3180, 5755, 9080, 6490, 3508, 3463, 373, 51, 5836, 10060, 8818, 8584, 3146, 3636, 3688, 1909, 2286, 9719, 7966, 8690, 676, 6769, 7896, 2917, 3353, 4447, 2363, 8103, 6910, 8489, 900, 1975, 2163, 3226, 10487, 8838, 9600, 8914, 6382, 10275, 8033, 6029, 1044, 4021, 8389, 3743, 2588, 1257, 7515, 4631, 7848, 3057, 5770, 6904, 650, 3977, 7452, 2825, 1031, 2502, 5689, 5809, 9801, 2255, 5012, 9574, 4241, 8829, 9279, 9002, 9536, 4706, 2353, 7126, 8715, 9658, 8000, 321, 1697, 8287, 1917, 22, 1371, 1069, 3790, 2530, 6568, 9531, 5052, 10294, 10338, 2365, 7578, 356, 10236, 9649, 5773, 542, 2356, 2460, 1684, 2633, 7986, 3769, 4742, 7785, 3225, 9781, 7289, 1668, 6776, 8959, 8231, 4176, 6411, 4474, 7640, 7011, 7913, 2061, 9423, 2400, 9385, 7979, 4366, 7290, 8767, 5737, 4698, 7207, 2361, 9171, 3297, 2135, 7739, 5677, 7712, 3815, 8972, 7965, 770, 8569, 9239, 4116, 7423, 10503, 1785, 9208, 4947, 2782, 10200, 9974, 7268, 916, 5163, 9911, 6259, 7385, 8301, 1818, 3585, 3583, 8549, 1723, 8832, 3058, 8308, 2040, 4381, 4760, 623, 444, 4505, 8292, 1569, 6363, 9160, 8566, 7936, 6302, 5503, 1443, 3016, 3638, 572, 7921, 7367, 1208, 3240, 8061, 9362, 6500, 6860, 10492, 5392, 8153, 3621, 9958, 6062, 10242, 4514, 3627, 3624, 4321, 2584, 9673, 8716, 6772, 10410, 546, 256, 3751, 3973, 9233, 1007, 10250, 3069, 295, 7366, 8483, 2110, 1933, 10409, 4980, 2803, 8782, 7270, 5890, 2611, 2537, 6691, 2079, 9895, 3593, 4888, 252, 2902, 534, 4324, 7164, 9821, 1456, 4738, 678, 7489, 6121, 7339, 3613, 3701, 6412, 6951, 7364, 1466, 1011, 7775, 2291, 1030, 4316, 5365, 2225, 4815, 1101, 2445, 8723, 10402, 3845, 4618, 5751, 5147, 6203, 1361, 316, 6118, 7507, 3173, 890, 6940, 2907, 7464, 8940, 5333, 2248, 1104, 551, 10407, 5950, 5342, 1214, 8338, 3702, 7502, 5451, 10424, 16, 7705, 8688, 3554, 8941, 2258, 3670, 4120, 4535, 5472, 3814, 6690, 4628, 5938, 7984, 9297, 6894, 8310, 492, 1346, 10131, 3891, 5457, 7393, 9545, 4273, 1002, 7529, 8435, 8248, 608, 3246, 5277, 7777, 3679, 2050, 4921, 298, 9476, 4313, 2307, 2451, 1216, 5679, 9413, 8830, 714, 5514, 7828, 8005, 6707, 5753, 1700, 1868, 6529, 10182, 4103, 4847, 8328, 8113, 184, 4709, 7934, 5231, 7943, 7176, 8627, 1718, 949, 2320, 2593, 6328, 9096, 1638, 5303, 2883, 1006, 10002, 5406, 2824, 5292, 2763, 2657, 2579, 3719, 3672, 3828, 7628, 3791, 519, 1946, 4682, 10412, 9794, 5223, 4463, 4028, 4689, 5001, 3741, 9528, 4358, 6495, 5993, 6898, 2810, 2524, 8921, 901, 3858, 10142, 6401, 9078, 1609, 7513, 2798, 2260, 1980, 4517, 3729, 1124, 6738, 226, 8304, 7576, 1804, 7872, 1324, 2520, 7698, 7087, 1133, 6132, 7711, 10352, 9420, 4368, 2811, 4878, 8612, 8728, 5905, 6215, 4338, 3407, 2934, 3534, 3029, 6213, 6587, 10232, 235, 9688, 8992, 240, 3236, 5516, 6463, 9418, 4880, 10081, 2027, 7319, 4914, 4895, 8314, 4464, 7994, 5088, 6111, 7181, 7237, 120, 5181, 8438, 6166, 7133, 5245, 9450, 9927, 1847, 5683, 3348, 8027, 6498, 8734, 1073, 6247, 10433, 5255, 7699, 10065, 1993, 9982, 2464, 735, 2341, 10218, 3758, 7264, 10118, 7215, 1196, 1796, 2242, 6030, 9250, 3871, 9803, 2208, 8662, 7555, 9462, 6580, 3709, 697, 3191, 1823, 5644, 5408, 8809, 6560, 10404, 4317, 4981, 674, 3721, 1164, 6426, 9749, 6202, 1834, 4457, 10517, 3716, 1903, 4797, 8806, 904, 2758, 9477, 10354, 10187, 5389, 5616, 174, 7573, 1774, 2182, 5419, 7088, 9360, 3930, 7798, 2170, 6433, 7171, 5857, 8002, 6293, 2506, 9085, 7208, 4151, 1068, 2450, 7567, 7926, 7638, 2854, 7615, 9753, 219, 953, 679, 8952, 4322, 8905, 4754, 9350, 3295, 9346, 6801, 7537, 3302, 8630, 8390, 4862, 10053, 8495, 9334, 9771, 8859, 3112, 1704, 3060, 5100, 4423, 3570, 3027, 9164, 6977, 8070, 6285, 3468, 5037, 7357, 5618, 3492, 3481, 8656, 1618, 10193, 4734, 8909, 1195, 9530, 2177, 6167, 748, 8527, 833, 2068, 8807, 9318, 3350, 7341, 4242, 6429, 8472, 1589, 3124, 6714, 5567, 7771, 9252, 2074, 4296, 2070, 2538, 142, 10168, 3030, 5612, 7680, 9775, 5910, 4499, 4820, 4816, 7524, 8974, 1135, 21, 2718, 7092, 7614, 5611, 2972, 4454, 7158, 7031, 282, 8507, 6901, 2885, 5928, 9126, 1488, 9020, 2821, 5593, 4329, 8022, 1965, 9597, 8230, 937, 10181, 2155, 6390, 10322, 2205, 721, 4687, 5609, 4647, 7216, 1621, 5028, 6461, 2857, 9986, 2723, 6058, 6020, 472, 10059, 10178, 5080, 4487, 5712, 6280, 4306, 1379, 4271, 5670, 5275, 5324, 9903, 2080, 25, 5394, 9134, 6847, 8828, 924, 5761, 5951, 7517, 4884, 4128, 1389, 7014, 7276, 2217, 9150, 3160, 5083, 1988, 6662, 6128, 9029, 1261, 8157, 7766, 3567, 4391, 5357, 8605, 1153, 8540, 76, 8202, 3315, 3536, 4733, 4743, 366, 3856, 1176, 5350, 8133, 9220, 6245, 4578, 6849, 2706, 2020, 3643, 8401, 4828, 6553, 6658, 8792, 5148, 8373, 4311, 2240, 1245, 7719, 2859, 410, 8593, 8573, 996, 8501, 4935, 3116, 2818, 939, 7492, 5331, 9017, 39, 7347, 9577, 1193, 8193, 210, 7201, 7069, 7796, 2178, 3238, 1020, 3883, 9939, 7488, 1072, 2846, 3472, 4696, 8780, 5308, 5931, 5413, 985, 8923, 2956, 1026, 2473, 93, 9111, 2454, 5154, 2415, 9144, 3598, 7932, 6107, 5655, 2102, 8789, 648, 10092, 6835, 1989, 5859, 7915, 7408, 8604, 9921, 9564, 4073, 6346, 10336, 3921, 6265, 502, 9471, 4436, 10215, 1173, 3813, 2492, 9507, 730, 3589, 9339, 9669, 6745, 10125, 861, 982, 267, 1515, 5772, 5349, 5443, 4555, 3668, 4304, 8140, 2327, 10346, 2891, 9327, 2270, 2615, 6863, 3580, 8743, 7325, 6887, 3798, 7675, 5478, 6876, 2191, 5929, 1986, 32, 4998, 3087, 1490, 747, 8894, 4511, 9776, 5884, 9022, 1943, 5276, 6003, 9209, 3436, 7394, 6350, 4033, 1238, 7097, 2946, 2146, 4839, 7354, 6842, 9430, 8836, 6832, 9108, 6459, 7249, 6288, 6326, 1996, 7059, 2948, 1163, 1867, 5235, 2629, 8313, 4624, 5839, 9137, 1642, 8798, 31, 7448, 8961, 612, 1841, 3394, 1683, 3324, 8517, 7935, 7887, 815, 10040, 2581, 6818, 4838, 3357, 8396, 4635, 5066, 10258, 10147, 428, 10379, 9751, 6512, 7343, 5794, 2120, 7245, 5054, 504, 2531, 5206, 6012, 1332, 3023, 2214, 8539, 1653, 3849, 7897, 3920, 6173, 1151, 9434, 4688, 7982, 8206, 7825, 7153, 4034, 6207, 7148, 845, 4003, 283, 7286, 2371, 8868, 2188, 3042, 5205, 4224, 4369, 3079, 2471, 1509, 8629, 5808, 5725, 5364, 1659, 7812, 1902, 1225, 8583, 5621, 9460, 6728, 578, 9416, 2142, 1401, 7307, 9331, 547, 9828, 1791, 2886, 4899, 7166, 4498, 10048, 3576, 5448, 9962, 3967, 215, 3373, 8681, 3328, 7997, 4461, 6744, 3749, 10284, 5004, 10124, 8939, 3211, 6094, 749, 8183, 304, 494, 4964, 9804, 5409, 1669, 3511, 9566, 8110, 8693, 9846, 9386, 6551, 1913, 6251, 7678, 7094, 8290, 9159, 2350, 4761, 5553, 6075, 7568, 4518, 6601, 8683, 2465, 2549, 8885, 3181, 8416, 5202, 3111, 2396, 9720, 2571, 4636, 9245, 8675, 10483, 1857, 2931, 4052, 1263, 1199, 5427, 5906, 6813, 9041, 1354, 5270, 9732, 4030, 5840, 10333, 10222, 1548, 6637, 9084, 1935, 6765, 427, 842, 6874, 2819, 6096, 1403, 1279, 6309, 9932, 9755, 8056, 7400, 5330, 677, 10233, 9991, 1457, 4269, 9850, 1409, 5412, 4923, 8060, 7118, 2323, 5717, 9369, 6622, 7466, 8720, 8510, 8100, 4333, 3261, 7975, 3658, 2895, 8057, 6082, 10019, 2487, 2377, 1093, 367, 3892, 2865, 3389, 7346, 6458, 5314, 8224, 7755, 2263, 5667, 4871, 5229, 351, 611, 4890, 4379, 1584, 10157, 9277, 2569, 2871, 8755, 8645, 7767, 1906, 9170, 2343, 2407, 9661, 4307, 8982, 4059, 1542, 3862, 7167, 6704, 10084, 1844, 4153, 9399, 1900, 6850, 5554, 1751, 6851, 9595, 9204, 4692, 2317, 4397, 2113, 7978, 7999, 2855, 8268, 7358, 4939, 4365, 3091, 1532, 5622, 6491, 5319, 4944, 5485, 4222, 5736, 3244, 9792, 8819, 1142, 3714, 5494, 1430, 963, 859, 12, 3043, 7989, 3807, 10504, 481, 8145, 6834, 7723, 2488, 9326, 4990, 3545, 6718, 1939, 1172, 3006, 3174, 6494, 876, 3761, 5641, 4185, 6968, 10476, 8266, 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1809, 3433, 4764, 1690, 10354, 741, 9250, 8528, 2764, 6502, 7478, 10061, 4813, 3944, 8823, 6195, 10361, 7483, 9042, 6739, 10478, 4067, 3816, 2294, 7278, 3529, 4524, 4883, 9021, 7575, 5624, 6474, 2015, 3535, 7539, 6516, 9992, 6719, 5631, 418, 7059, 1452, 4421, 3656, 3660, 4837, 508, 8052, 3485, 8439, 4759, 1069, 5164, 8496, 7871, 6639, 2732, 5400, 10393, 9570, 1445, 8711, 8302, 6037, 5511, 4961, 10029, 6765, 8446, 611, 7515, 9418, 1327, 2014, 1437, 9506, 237, 8955, 2057, 4721, 3434, 5610, 97, 10092, 1889, 5269, 4084, 3612, 9235, 9493, 7052, 9802, 6492, 10422, 9509, 3230, 1585, 1921, 1727, 5389, 8240, 7590, 4489, 8856, 6591, 6581, 4392, 3501, 1362, 4281, 577, 913, 9196, 7893, 4604, 3687, 10238, 8997, 5223, 5050, 8304, 3742, 10167, 9156, 6541, 7970, 5018, 1535, 2248, 9286, 5401, 9947, 1579, 5789, 8837, 10150, 6869, 6440, 7083, 8305, 7409, 7000, 9368, 3275, 6475, 1721, 4285, 5206, 2559, 3642, 8073, 4761, 3632, 8031, 2683, 7385, 6466, 2643, 165, 10080, 8867, 4804, 8671, 6256, 555, 67, 3826, 3004, 3819, 6075, 2012, 5495, 6703, 8719, 7182, 8811, 1146, 2914, 9340, 5764, 4960, 3652, 8914, 8266, 7649, 8011, 8611, 5549, 5241, 9351, 2347, 369, 7089, 7337, 163, 2227, 5383, 6752, 5037, 4847, 3807, 8012, 2139, 159, 7710, 2234, 9168, 879, 9024, 1582, 4790, 3498, 4507, 7525, 1853, 4327, 4924, 2336, 9684, 9741, 1305, 1774, 7166, 2602, 7208, 4128, 4287, 5918, 7536, 2872, 4934, 1528, 3353, 169, 5142, 6553, 5132, 8091, 1744, 8821, 8319, 4704, 5544, 9085, 8047, 7947, 4751, 5080, 3141, 613, 7329, 7553, 350, 238, 10283, 1480, 3207, 1097, 1308, 1465, 7104, 10276, 570, 2972, 628, 1850, 3206, 3965, 799, 1203, 4427, 728, 1900, 8688, 2763, 6279, 9166, 8177, 4870, 5897, 9894, 9718, 8362, 7796, 6324, 9227, 969, 2077, 5747, 6971, 1288, 10201, 55, 10198, 1076, 5022, 9765, 6883, 8734, 6910, 7190, 9014, 2429, 10171, 7005, 3573, 9675, 6788, 2689, 7074, 1899, 5523, 3344, 5904, 5424, 3977, 3122, 7848, 4825, 5910, 7268, 2402, 8645, 8110, 4406, 3371, 6399, 9874, 7966, 4056, 2390, 3670, 8832, 367, 4834, 4102, 7389, 4065, 4948, 1254, 1243, 6501, 3715, 7266, 6503, 8565, 2288, 8332, 4216, 3467, 7098, 1096, 2910, 6017, 4365, 7712, 2095, 6846, 737, 10531, 4377, 10456, 8109, 33, 3137, 7072, 2301, 1268, 2742, 6517, 3471, 3482, 6584, 10056, 9359, 10132, 10050, 4545, 5859, 9888, 3458, 934, 1945, 2681, 1985, 3339, 2959, 4891, 4521, 9452, 5100, 6552, 2076, 4118, 7544, 7937, 6069, 7807, 3074, 1234, 358, 4508, 812, 9983, 844, 154, 4542, 1560, 3311, 192, 9480, 120, 8192, 2584, 2533, 6236, 7313, 1564, 1760, 1824, 4260, 3045, 9630, 1297, 5368, 5281, 6816, 2842, 6439, 8906, 1080, 9692, 7213, 3432, 8866, 9866, 8701, 7505, 2780, 7880, 6135, 7745, 10149, 2767, 714, 104, 5374, 9879, 5025, 10259, 2344, 5212, 115, 1879, 7405, 643, 6082, 9149, 4378, 7417, 8392, 1546, 8313, 2169, 8780, 9822, 2049, 9621, 6009, 4407, 3729, 8361, 5188, 561, 10496, 10133, 1574, 713, 4059, 6229, 8311, 6403, 1847, 4342, 7891, 9841, 3015, 603, 2486, 8058, 10416, 6157, 9653, 7447, 1819, 2789, 7231, 3134, 2024, 10179, 826, 9442, 2846, 1391, 8163, 9299, 6562, 4042, 2577, 6307, 8552, 6248, 1078, 5670, 5398, 2715, 3630, 7335, 4535, 8619, 7944, 2962, 7744, 6967, 655, 7995, 2524, 8669, 8183, 1917, 4272, 9251, 7735, 5137, 788, 4626, 7637, 1911, 2582, 7952, 7802, 3553, 937, 3393, 2008, 5144, 9373, 647, 8195, 8111, 2924, 7301, 8915, 930, 7905, 7731, 5919, 2512, 5740, 7652, 1747, 772, 6688, 5718, 2912, 3142, 9720, 2948, 3069, 4853, 513, 3301, 2825, 935, 8643, 10035, 6750, 3935, 8850, 6377, 855, 3056, 2679, 4591, 8740, 593, 354, 857, 4415, 5092, 10001, 3084, 6511, 9276, 948, 1454, 7910, 9415, 4438, 4772, 3169, 2969, 2596, 5476, 243, 6342, 1736, 9410, 1704, 3651, 9895, 3877, 7235, 6537, 6539, 3521, 5448, 5185, 8122, 8747, 8142, 1705, 678, 9805, 4203, 1484, 2006, 2061, 3669, 10515, 6374, 2463, 6272, 8263, 3323, 7643, 5086, 4963, 6923, 1499, 9054, 8180, 1702, 4101, 8076, 581, 8705, 3668, 8411, 2500, 8607, 1296, 8289, 77, 4192, 4831, 5033, 9963, 10450, 303, 3700, 744, 9931, 8274, 166, 5934, 224, 8464, 7962, 9616, 2666, 9571, 5349, 582, 920, 10062, 1910, 592, 2034, 4894, 5502, 6410, 6543, 389, 9550, 9281, 9453, 7125, 4613, 3418, 1997, 1671, 10487, 5755, 8471, 972, 7829, 6930, 5722, 2761, 9441, 10248, 4866, 6845, 3905, 9739, 3278, 5962, 6510, 3048, 6486, 3358, 10072, 9210, 7897, 3876, 8253, 4949, 6371, 5614, 6335, 337, 5922, 1638, 6684, 384, 6902, 5653, 10454, 1779, 9489, 5620, 2165, 10400, 10220, 10230, 6865, 2886, 9617, 3690, 4632, 6549, 5379, 7964, 5923, 4154, 3441, 1517, 9959, 7793, 5265, 8664, 1315, 6960, 3721, 10289, 2667, 701, 3527, 5978, 1194, 1700, 5743, 232, 7537, 1104, 6892, 6184, 8168, 4186, 4097, 7834, 2850, 1570, 2247, 725, 7025, 3971, 9472, 438, 3994, 7245, 3963, 9300, 6276, 7399, 6879, 1639, 955, 5628, 8794, 38, 5250, 3490, 2135, 6623, 3394, 8387, 7941, 6870, 9346, 8625, 8977, 2241, 84, 6689, 7345, 87, 6463, 2547, 4244, 5017, 6142, 800, 5113, 1119, 8946, 3372, 6092, 7732, 4282, 6745, 1788, 8640, 7082, 6568, 8727, 6129, 9753, 1476, 4068, 20, 1148, 8498, 6493, 4634, 4827, 4584, 4232, 26, 615, 10459, 4993, 939, 5171, 8962, 1283, 1789, 7110, 7595, 5064, 1561, 1958, 3470, 5944, 1571, 6361, 3640, 7117, 5274, 4472, 8893, 2535, 1337, 545, 5719, 8114, 2438, 6956, 6499, 6212, 1566, 5802, 10169, 6791, 2672, 9829, 7146, 9518, 2223, 3259, 2160, 253, 7019, 40, 4127, 3075, 6299, 604, 15, 9087, 7722, 9160, 622, 3564, 556, 8709, 1008, 6760, 3302, 7216, 9732, 9051, 1481, 9039, 7915, 4640, 499, 951, 1940, 3834, 396, 2982, 1033, 4311, 3082, 9092, 6646, 7161, 9750, 9030, 8336, 8154, 10295, 1725, 3701, 10067, 9731, 7206, 9063, 1328, 3494, 6860, 4727, 7420, 9487, 8210, 7004, 8236, 7786, 8238, 6015, 5443, 8674, 3586, 6798, 8458, 3572, 8218, 2180, 6368, 9762, 6592, 9669, 3500, 2260, 2594, 1169, 1474, 5485, 7369, 2303, 1514, 1188, 9536, 8125, 938, 1009, 7204, 9363, 10292, 10200, 6757, 5705, 9722, 3686, 3594, 4985, 4560, 7279, 8376, 4799, 8882, 1089, 7006, 7985, 6704, 6316, 3184, 10434, 704, 297, 586, 7778, 1984, 10308, 72, 1478, 7396, 4051, 4672, 3838, 9985, 260, 10208, 2215, 8980, 7582, 7498, 4134, 10356, 6699, 6950, 1103, 5123, 430, 1133, 9050, 10319, 6496, 1767, 6424, 7415, 5030, 1755, 7668, 4947, 3649, 9982, 7690, 10339, 5459, 3590, 6117, 4274, 6208, 2, 4038, 4551, 7959, 1717, 2913, 6693, 6166, 2980, 4322, 7431, 840, 339, 9199, 5828, 6326, 53, 5580, 7144, 9903, 5728, 5585, 3345, 7972, 9668, 4633, 9309, 6402, 8118, 1914, 660, 3200, 6590, 543, 6096, 3783, 9193, 7726, 6648, 10055, 4196, 2791, 5406, 5768, 4603, 1070, 5338, 4763, 3241, 2322, 4086, 1173, 1260, 5594, 2721, 1676, 5773, 5850, 9786, 7607, 7339, 8121, 9385, 5548, 7773, 6378, 8159, 7809, 7397, 9549, 3906, 170, 8237, 2760, 4236, 3805, 8764, 5632, 8080, 8132, 8130, 2525, 10255, 1082, 648, 2009, 2047, 6312, 7900, 3865, 5298, 9625, 8551, 8292, 1179, 5104, 2536, 8642, 4081, 8055, 8812, 8860, 7066, 5036, 7847, 4529, 4923, 7055, 1274, 2496, 6574, 8777, 4344, 3290, 378, 4267, 10205, 2232, 5335, 5589, 10239, 9241, 142, 1404, 7393, 2792, 2861, 9637, 4801, 3617, 1977, 6720, 9727, 5569, 6641, 9587, 5727, 3182, 3968, 4490, 9395, 2573, 214, 2314, 4899, 9320, 7080, 5234, 10436, 9012, 3802, 2323, 1063, 5649, 9200, 1439, 9175, 10193, 3570, 10360, 498, 4689, 6876, 4011, 578, 538, 8781, 242, 6158, 7014, 79, 3951, 1321, 3496, 3179, 7950, 3459, 6020, 1852, 6881, 3923, 9704, 9238, 8826, 7843, 9296, 7771, 8970, 1931, 1775, 10197, 943, 1088, 5402, 608, 6620, 9004, 9730, 1568, 2853, 8838, 1706, 683, 423, 1543, 5266, 9069, 1915, 4009, 940, 9230, 271, 515, 1581, 3430, 2349, 6528, 5426, 109, 10241, 390, 5539, 244, 9423, 3133, 8578, 6829, 1364, 5267, 3298, 729, 6997, 2326, 4247, 794, 2758, 9328, 1498, 3667, 6887, 2561, 2938, 5428, 7987, 9103, 6582, 8616, 4031, 8773, 8896, 4930, 818, 8536, 6596, 5329, 1685, 5097, 7953, 2405, 10429, 902, 9206, 10490, 8699, 4769, 2705, 3135, 9703, 4559, 1129, 4859, 9344, 2984, 5343, 4052, 3862, 4722, 978, 962, 4109, 2847, 1928, 5179, 2359, 1707, 1976, 8555, 7924, 1790, 4951, 1166, 360, 6996, 2174, 4465, 1032, 10305, 9194, 8793, 7769, 5415, 8343, 3409, 1433, 1191, 4615, 10282, 267, 9490, 10424, 5253, 2137, 9427, 10234, 2936, 10421, 1128, 2680, 7998, 5788, 2848, 1233, 6962, 9838, 8359, 3603, 4185, 3507, 6713, 6450, 2729, 1223, 2884, 8716, 9680, 5550, 833, 5777, 7086, 6271, 8523, 7300, 2141, 5240, 1898, 1890, 4085, 1666, 2576, 9065, 10347, 8456, 6727, 9749, 1668, 6149, 8054, 10340, 8772, 5999, 4475, 6002, 7697, 9362, 9486, 5110, 2457, 3280, 1766, 3626, 6618, 2362, 4702, 10030, 10368, 7587, 3217, 4060, 1653, 4487, 5302, 5081, 3274, 6331, 463, 836, 0, 10069, 5496, 9761, 4994, 1460, 8999, 8242, 6348, 3263, 3165, 9898, 3748, 299, 2481, 2788, 5000, 10420, 7576, 4000, 4100, 2831, 5982, 883, 3737, 2311, 4680, 9679, 1244, 3123, 8108, 10202, 4357, 7406, 8288, 6551, 10037, 7509, 3788, 9263, 8209, 4575, 554, 5011, 3331, 1923, 9212, 1053, 1959, 6766, 8580, 941, 9876, 1719, 4814, 3627, 3292, 10321, 1314, 93, 5075, 8700, 8554, 5437, 3299, 236, 2607, 4903, 10355, 8247, 909, 1536, 10385, 8648, 1250, 1397, 2443, 4503, 5422, 1715, 9919, 1087, 5690, 400, 133, 266, 7026, 2565, 3988, 6087, 7228, 9523, 349, 5505, 325, 771, 2651, 1189, 2302, 9958, 708, 10474, 4222, 4008, 2474, 3658, 1050, 3756, 1855, 2385, 4914, 8889, 7986, 7314, 3464, 1127, 518, 1094, 9710, 8600, 9501, 10211, 5039, 9576, 10120, 10312, 7338, 6728, 4534, 3515, 7994, 5538, 5646, 7068, 7097, 431, 7115, 10390, 2246, 7975, 1011, 2937, 5663, 8422, 3155, 355, 7108, 2860, 4182, 2044, 2281, 2779, 5128, 2415, 7426, 4265, 2002, 1925, 4723, 3659, 8849, 7882, 9676, 4429, 5709, 8620, 7176, 10439, 8801, 1607, 8284, 5852, 6938, 4468, 758, 1021, 6477, 4910, 9631, 6137, 3351, 1654, 10457, 6420, 3349, 9646, 5450, 5467, 8679, 10057, 10258, 10299, 1117, 4612, 2952, 7629, 7821, 7334, 711, 247, 7327, 2609, 10336, 8883, 10224, 2469, 8394, 6963, 7977, 2947, 7669, 4520, 6207, 9972, 10222, 9144, 5593, 6859, 2841, 1054, 4174, 4969, 5016, 6039, 9192, 6655, 5506, 4562, 1811, 7734, 9096, 9969, 5408, 2269, 7618, 7857, 4001, 5967, 6779, 10225, 5287, 3387, 1751, 5595, 3370, 7383, 5737, 532, 9510, 6837, 9801, 10084, 5093, 9541, 8338, 4262, 9818, 8333, 8084, 1241, 6024, 9859, 781, 9031, 6237, 1509, 2264, 5470, 4017, 172, 9150, 9938, 2413, 5200, 7741, 5308, 9473, 6465, 9184, 2062, 4412, 2278, 7721, 7526, 1020, 4458, 6630, 4374, 5924, 1998, 8829, 6660, 1206, 9389, 3445, 1982, 71, 8654, 975, 8597, 8045, 5229, 4178, 1168, 426, 9026, 681, 2164, 523, 7791, 4195, 2279, 5162, 682, 8804, 9090, 8940, 6848, 8539, 9858, 6637, 9222, 1373, 8318, 4177, 10148, 1680, 45, 9116, 2427, 7158, 8462, 4734, 6612, 9436, 8410, 4690, 4927, 3097, 6943, 9409, 1954, 4857, 10428, 957, 4376, 334, 455, 1105, 6332, 1042, 6090, 174, 3817, 3549, 567, 8420, 8086, 9597, 6448, 5436, 2588, 4063, 28, 2188, 8628, 3614, 4402, 3616, 8526, 2923, 7169, 7775, 10180, 1461, 2748, 2887, 3017, 8257, 6576, 1006, 5517, 5785, 8164, 4259, 7965, 2153, 946, 2940, 3955, 2208, 9664, 1496, 5366, 6698, 6173, 6722, 2272, 9003, 6573, 821, 4504, 10144, 4014, 10481, 6111, 698, 9204, 5977, 5810, 4305, 3094, 3605, 5956, 2645, 3391, 3842, 3921, 2747, 3710, 1237, 9369, 4358, 1369, 2306, 7132, 7921, 8426, 5276, 4135, 4868, 10395, 1442, 6071, 8440, 7434, 5311, 7680, 4943, 2593, 217, 1738, 227, 9598, 6608, 7704, 3086, 4319, 8364, 1231, 7545, 7013, 6874, 5412, 9488, 7455, 5981, 2670, 7331, 7737, 9508, 7698, 265, 6384, 1737, 4766, 3047, 4887, 5355, 6139, 9327, 2403, 1156, 4889, 6412, 5752, 7467, 2503, 8762, 9324, 4241, 2059, 9214, 4932, 9028, 8273, 8942, 8527, 1262, 8795, 8546, 1118, 8397, 9406, 4810, 3307, 6260, 7767, 9403, 7220, 2426, 5133, 5912, 9412, 4623, 4220, 9095, 4736, 223, 4452, 5940, 9232, 1420, 10090, 8744, 2122, 4457, 8871, 3397, 9305, 6224, 9071, 7531, 8665, 428, 6754, 7750, 7286, 2172, 9422, 3019, 4328, 8930, 6081, 3257, 10451, 2701, 10232, 4417, 8037, 3404, 1633, 257, 9287, 2308, 1453, 3755, 2711, 10117, 2100, 7555, 31, 4636, 1580, 3260, 8255, 816, 8228, 9728, 9754, 2674, 5070, 2583, 3886, 8158, 3894, 1029, 470, 8346, 3961, 8324, 6423, 3949, 9146, 7149, 2556, 7280, 333, 6563, 92, 1939, 6181, 4523, 137, 1892, 8331, 6577, 7772, 7001, 2007, 4271, 3153, 1370, 8271, 7662, 9463, 1149, 5745, 5615, 1682, 9494, 8985, 5898, 9821, 3035, 4268, 7764, 9376, 6345, 9650, 606, 8107, 6106, 2185, 49, 9624, 6787, 7993, 1031, 9531, 9835, 10268, 8815, 2551, 9914, 1652, 10168, 5606, 5605, 621, 1434, 8206, 1259, 4869, 632, 9288, 8356, 7134, 6202, 8321, 9491, 8401, 9716, 8150, 9335, 6508, 1299, 3503, 9337, 8830, 4093, 9881, 177, 1643, 6815, 5947, 2502, 7291, 4845, 9997, 10027, 3666, 5328, 4151, 4139, 4238, 4266, 4514, 2796, 8864, 3034, 5555, 3402, 8505, 9925, 8677, 2743, 6019, 10407, 3823, 4494, 10297, 2138, 4746, 4802, 2461, 1195, 3399, 7239, 640, 6578, 8768, 2806, 10482, 10476, 630, 2079, 2926, 7603, 8194, 1712, 6070, 10071, 5621, 8681, 32, 775, 933, 9252, 4902, 6783, 8479, 3709, 241, 4426, 2243, 2906, 285, 4028, 638, 4570, 9497, 4695, 1655, 3966, 5304, 464, 1694, 8516, 10266, 8937, 6116, 9861, 8602, 95, 8582, 7075, 7638, 304, 627, 495, 343, 8846, 6926, 9077, 231, 5499, 9106, 2854, 4341, 9793, 5307, 2030, 3117, 9929, 10139, 6334, 9687, 1459, 7792, 9229, 9975, 5082, 5887, 8563, 5262, 9719, 8434, 8567, 959, 9504, 1768, 8591, 1807, 4405, 3268, 4062, 5386, 2357, 1057, 6357, 1618, 7036, 10290, 9605, 4890, 8612, 661, 9478, 2485, 8853, 9215, 9272, 2445, 6811, 568, 7665, 5772, 7518, 5358, 3255, 5068, 1068, 1656, 8989, 108, 2988, 6545, 7727, 6043, 10284, 158, 6805, 9318, 5847, 5431, 981, 351, 7288, 6285, 7030, 7852, 7777, 6038, 3041, 9391, 1974, 5929, 5084, 3957, 10380, 7062, 5305, 2319, 252, 4978, 7535, 1697, 2040, 6847, 2063, 8157, 7073, 5552, 5210, 1346, 3623, 1091, 2081, 9347, 5758, 1875, 193, 4653, 8718, 3725, 8647, 9154, 2196, 3296, 7465, 10509, 6, 7099, 5339, 3218, 2836, 3012, 6114, 5582, 1300, 4602, 784, 3644, 3369, 5513, 5482, 10433, 7999, 5244, 1953, 5178, 4986, 7602, 481, 2832, 9380, 2491, 745, 1428, 9381, 345, 3224, 5706, 3712, 5568, 7908, 3050, 3900, 4155, 4975, 4648, 7810, 1669, 3723, 9814, 5871, 557, 5896, 9310, 8961, 977, 4821, 1624, 8050, 4115, 6987, 1458, 3406, 7317, 5843, 5729, 5845, 8982, 4830, 280, 5378, 8412, 9551, 10313, 1814, 807, 9408, 10161, 8248, 10012, 9714, 4269, 1451, 7567, 6080, 9322, 9736, 8758, 3229, 6054, 80, 2734, 1808, 9843, 8576, 10123, 1555, 1559, 8457, 3990, 2432, 6921, 9475, 2304, 9070, 6675, 6927, 9755, 4732, 6032, 7673, 2298, 8499, 9656, 7164, 4355, 2624, 9056, 7811, 3236, 6176, 6308, 3859, 5635, 1502, 9283, 1047, 3334, 9316, 6542, 7919, 6381, 9074, 2103, 6707, 7424, 52, 9778, 7513, 6215, 1920, 5438, 2935, 5750, 2693, 7274, 2052, 1411, 8771, 5630, 4952, 7257, 216, 6063, 6706, 7372, 2204, 3038, 2590, 6627, 884, 10101, 6022, 4325, 6621, 1614, 1506, 5255, 1969, 997, 6912, 2094, 8002, 7173, 4133, 1326, 4664, 3533, 10229, 9326, 9638, 9774, 9937, 6628, 7375, 7402, 9909, 4114, 9421, 9700, 377, 3411, 4456, 1989, 2090, 587, 7799, 7538, 5054, 4532, 2515, 1905, 8041, 1516, 7428, 6521, 5543, 4782, 2753, 8672, 2506, 9849, 5763, 7820, 9526, 5446, 8027, 2815, 6992, 5708, 7202, 10102, 5021, 3896, 5202, 4302, 2865, 1645, 6336, 2843, 7984, 5218, 9143, 10455, 5680, 1447, 845, 4506, 5603, 6287, 2337, 860, 1477, 4293, 4320, 7128, 3491, 6284, 1366, 9507, 6530, 880, 9484, 6416, 2644, 5811, 5504, 8690, 9249, 10430, 1099, 4916, 6913, 5445, 4901, 9957, 2145, 1216, 3518, 6417, 5825, 9978, 5226, 8483, 429, 9503, 10298, 7332, 3342, 4129, 1377, 2827, 6487, 2544, 9371, 3166, 5532, 6714, 10177, 6974, 1457, 774, 3101, 4741, 3340, 3065, 5322, 3201, 2383, 7186, 10114, 868, 5246, 4165, 2431, 4904, 10156, 6702, 4893, 7413, 1, 9659, 10370, 2136, 6778, 447, 4079, 5753, 6619, 1848, 2950, 2084, 5678, 10274, 6329, 6185, 8231, 8495, 1949, 7612, 1596, 5679, 8668, 134, 3753, 4760, 4954, 6806, 3385, 6663, 3930, 6453, 1778, 5259, 10140, 6755, 6468, 9188, 8606, 5290, 6304, 9967, 3414, 4462, 9535, 1334, 618, 9725, 6922, 3011, 4593, 6036, 5301, 2530, 9366, 5769, 9806, 5696, 3209, 8547, 922, 759, 9312, 1098, 6818, 5974, 692, 7425, 6491, 5980, 8596, 5564, 4003, 1383, 10378, 3191, 773, 9928, 6068, 8972, 2885, 2242, 5280, 1539, 3247, 631, 5228, 5087, 1681, 1290, 1752, 2299, 9109, 5008, 4886, 7929, 3336, 7316, 2197, 914, 305, 10175, 8736, 1805, 5975, 7093, 4279, 7609, 9440, 4413, 8641, 6066, 10414, 9520, 8373, 7983, 7684, 8807, 7214, 4467, 5830, 9872, 5168, 7522, 10095, 2778, 5566, 7617, 7469, 4835, 6136, 2954, 9115, 7297, 4343, 8215, 8715, 3797, 1265, 5096, 5409, 596, 2800, 5616, 8167, 10318, 3176, 9129, 10269, 3517, 1135, 306, 10275, 5553, 9247, 10342, 6682, 4360, 2737, 5518, 5313, 10381, 8881, 4035, 8416, 4399, 2468, 4288, 1408, 7573, 3524, 8014, 10314, 927, 6598, 7194, 1659, 6600, 7154, 2838, 9902, 4483, 8325, 5320, 1318, 3920, 497, 3443, 6589, 1044, 2455, 2703, 5807, 5384, 8720, 5957, 128, 56, 4306, 956, 4908, 8259, 10492, 5293, 6614, 9863, 4471, 7077, 7693, 3277, 9171, 9075, 10005, 5584, 4819, 9573, 9037, 1988, 1951, 1836, 798, 2368, 3925, 2499, 7124, 918, 583, 5334, 8814, 5874, 3242, 8666, 8854, 7922, 3483, 9468, 2480, 10049, 9775, 414, 3706, 7040, 673, 2000, 4839, 3775, 8280, 6554, 1425, 4829, 7797, 9883, 1092, 6018, 7920, 6694, 3297, 7528, 1613, 1830, 3561, 8782, 3752, 2370, 8557, 7457, 263, 1806, 6164, 2444, 4313, 1412, 4477, 8588, 6610, 7951, 399, 2916, 5665, 10159, 9022, 5472, 6650, 10438, 2555, 9387, 6205, 9432, 6988, 2771, 4171, 617, 2664, 8595, 4442, 9492, 9431, 1795, 2927, 1309, 4295, 1708, 9788, 664, 5987, 9459, 8809, 9780, 4953, 585, 6645, 3171, 10447, 1927, 3933, 2126, 9524, 9161, 3384, 3091, 5473, 525, 7604, 9262, 8279, 3832, 9862, 4030, 8161, 10194, 1937, 10472, 8040, 5866, 2270, 6657, 6383, 2235, 2896, 2548, 4912, 3407, 852, 10401, 10091, 8993, 6470, 4371, 5707, 2776, 8965, 1178, 5915, 6934, 1827, 2657, 847, 4314, 5797, 8722, 3495, 4497, 6863, 9759, 8059, 3357, 7299, 10112, 10374, 7391, 3481, 1317, 8061, 3695, 727, 835, 7876, 10471, 5150, 9343, 8931, 1686, 1229, 3337, 294, 10158, 8529, 5930, 10015, 9017, 10458, 9284, 10019, 8395, 8386, 2317, 2958, 1979, 8617, 8948, 1273, 623, 5754, 6947, 10463, 5356, 5129, 103, 961, 1107, 1907, 382, 2125, 6748, 10121, 485, 5613, 8296, 3747, 5641, 7782, 1771, 6155, 4453, 7344, 5515, 6171, 3328, 8560, 7193, 7840, 7551, 1963, 1726, 3262, 8508, 2852, 1113, 8629, 10081, 8543, 6182, 3512, 1340, 4072, 1992, 3330, 7894, 8018, 8090, 1658, 1776, 4235, 4601, 1180, 4921, 4718, 10251, 8920, 6088, 5318, 3023, 6222, 1378, 5238, 4108, 8535, 8968, 5127, 3007, 8589, 2986, 3106, 534, 3238, 5695, 6052, 9746, 7850, 3116, 3283, 4895, 6607, 7379, 5791, 1124, 9614, 4335, 865, 3866, 2239, 6058, 6188, 3562, 1074, 82, 7270, 1796, 4784, 3177, 2118, 988, 7571, 7247, 4228, 10418, 4854, 9386, 4770, 530, 3889, 9297, 8604, 6604, 4639, 8297, 6269, 1730, 2254, 6741, 4620, 4215, 9217, 2018, 1356, 9655, 5062, 3080, 3197, 9057, 1415, 1703, 5533, 1557, 8117, 1839, 8831, 10404, 6976, 2563, 8957, 3044, 10178, 7210, 5885, 5315, 1636, 7380, 7980, 6055, 6328, 3383, 4158, 983, 2717, 5101, 9128, 10344, 7105, 1913, 7292, 8788, 3422, 8179, 6213, 8016, 7446, 8316, 7333, 5049, 2798, 3419, 4919, 1073, 5540, 3154, 3109, 5954, 5152, 3631, 9009, 3062, 986, 2005, 3827, 1533, 9290, 2797, 10045, 4214, 3147, 489, 831, 106, 1831, 2989, 869, 7341, 1529, 7165, 5655, 1338, 6451, 4036, 5547, 5674, 6203, 2858, 322, 3102, 4797, 9205, 6894, 9481, 2508, 9698, 1718, 1621, 7310, 6746, 5604, 10350, 2352, 9825, 63, 9424, 307, 2114, 7654, 4826, 862, 5352, 3462, 1026, 2261, 706, 7641, 424, 1972, 4544, 3637, 1906, 2991, 8404, 2612, 5651, 2768, 7347, 5650, 2356, 8556, 4915, 6931, 5546, 2933, 1359, 8786, 2994, 985, 9781, 5125, 6352, 7243, 7312, 6597, 249, 7418, 2159, 2820, 565, 7342, 9618, 5717, 8537, 3129, 7336, 6478, 2513, 10521, 1336, 4999, 1763, 10406, 6162, 5381, 2696, 1183, 4608, 4066, 6259, 3837, 10134, 3835, 9645, 8133, 3599, 6821, 9256, 348, 3468, 1501, 10025, 4408, 8683, 2144, 965, 3327, 229, 2064, 450, 2580, 10206, 7613, 3057, 4359, 153, 6305, 4175, 3272, 2628, 9469, 6193, 10223, 5970, 803, 889, 8301, 9865, 6853, 7304, 10341, 9845, 5870, 8549, 286, 7923, 7131, 3597, 8653, 6127, 10327, 6975, 3653, 7253, 4012, 3825, 9187, 9105, 5928, 8372, 3008, 9302, 6355, 3636, 5295, 6734, 9244, 9896, 2783, 2724, 9956, 36, 1670, 3220, 7240, 7090, 9045, 7826, 924, 6961, 10221, 5827, 7272, 4828, 10096, 6235, 2037, 4696, 1160, 1936, 8467, 5509, 5310, 8450, 10130, 1822, 7707, 2229, 5941, 1472, 10348, 7485, 7492, 6144, 4419, 6030, 4061, 2687, 10246, 4871, 2152, 1289, 4714, 3624, 3146, 10335, 7343, 6772, 9043, 5163, 1858, 8350, 3510, 5808, 5973, 6126, 9643, 2654, 3469, 2678, 3708, 8225, 5440, 7549, 8368, 9996, 6441, 7501, 3386, 3380, 2824, 2822, 5131, 1095, 663, 2807, 1785, 2704, 8010, 5327, 10077, 2960, 4730, 2766, 7611, 8220, 4699, 805, 41, 866, 6390, 9784, 5886, 1769, 8708, 2133, 5103, 6909, 6389, 5677, 4785, 3609, 9348, 7888, 6028, 6687, 2245, 6550, 8173, 3413, 5557, 8877, 8186, 7371, 949, 9682, 9948, 991, 5066, 5148, 9428, 5638, 6460, 3847, 10183, 1525, 10524, 4397, 10195, 3148, 5837, 130, 1220, 5344, 6013, 5186, 8936, 1960, 1066, 10073, 51, 9195, 5273, 4693, 9211, 10147, 3940, 8855, 4400, 1510, 8269, 6735, 5067, 8000, 2899, 9921, 7049, 5357, 3777, 7974, 5877, 5864, 9636, 2112, 2581, 696, 8574, 110, 2186, 341, 10375, 3107, 3688, 10333, 5676, 35, 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2828, 3484, 8960, 1695, 1385, 10244, 9810, 1957, 9313, 132, 612, 5834, 9091, 605, 6333, 7705, 7748, 5529, 6903, 7436, 3607, 5558, 4393, 9904, 2620, 9873, 5908, 9763, 7699, 7421, 6160, 3355, 1024, 1777, 3254, 4254, 8095, 6529, 1062, 6864, 2154, 5829, 8123, 3929, 8428, 2335, 9279, 2353, 4981, 9397, 5666, 5121, 7356, 7438, 5435, 8323, 6443, 3809, 8813, 9639, 768, 5005, 5297, 185, 1973, 1748, 9352, 6430, 1304, 8477, 5192, 4780, 871, 3270, 235, 4435, 8910, 7472, 8634, 7728, 4476, 8367, 607, 6418, 6483, 7979, 4432, 9255, 3771, 7517, 7020, 1164, 3143, 3595, 712, 2489, 9332, 6426, 4233, 8358, 3368, 2642, 7016, 942, 3800, 3739, 8032, 10358, 9854, 4555, 4148, 5960, 7949, 2723, 6049, 3018, 7137, 3730, 9633, 9699, 2487, 3083, 5822, 2399, 112, 850, 8433, 5903, 2507, 6315, 8283, 5687, 1159, 6659, 2358, 6781, 7, 509, 2051, 347, 5051, 5106, 2955, 8735, 4089, 8193, 10184, 10107, 2437, 1657, 10488, 21, 4585, 9738, 4563, 10257, 3504, 2033, 1352, 4667, 8093, 9912, 2189, 3757, 3522, 3675, 7860, 4170, 4157, 9657, 3352, 3693, 3869, 2418, 1392, 2909, 8005, 4567, 1663, 2648, 375, 7836, 4909, 7123, 3061, 7381, 843, 2961, 6012, 1545, 198, 4049, 2220, 5571, 4112, 1435, 1112, 7484, 5920, 9697, 569, 6313, 10287, 5002, 7720, 3246, 1282, 1023, 9823, 125, 3768, 3621, 9461, 2150, 2658, 4058, 6769, 362, 6679, 10063, 690, 9151, 6394, 4587, 309, 4873, 5382, 5812, 6042, 3972, 5059, 4998, 2875, 9086, 2056, 6797, 1226, 10031, 8618, 4783, 8627, 8713, 4361, 2424, 3423, 10364, 6247, 3313, 2941, 372, 6234, 2379, 10098, 5044, 4401, 10302, 2054, 5835, 1641, 9584, 9558, 5377, 7035, 7221, 734, 7989, 4434, 2979, 4331, 6873, 8421, 10041, 8819, 9599, 2328, 6724, 3150, 9268, 4618, 8710, 5158, 4750, 7449, 4683, 5309, 2187, 5971, 9139, 4749, 2702, 9159, 4237, 9274, 10493, 8818, 7283, 7508, 2106, 175, 2102, 9, 7675, 47, 7685, 4212, 1678, 6159, 1956, 7177, 9545, 8848, 7203, 5, 536, 6128, 2190, 7875, 1872, 1741, 6046, 3655, 4116, 2148, 8017, 7647, 5671, 1556, 228, 1102, 4106, 10403, 9886, 10170, 6795, 6958, 7766, 5609, 5161, 1817, 8599, 1867, 3703, 178, 3577, 3379, 6044, 5447, 8300, 5181, 6006, 10389, 8272, 1710, 9567, 473, 234, 7733, 7760, 1061, 4645, 8847, 9936, 4911, 6907, 7564, 8004, 5542, 1635, 1449, 3390, 8258, 7261, 5407, 8260, 8732, 2120, 6498, 1394, 9142, 2198, 318, 3799, 10174, 2698, 4566, 2629, 8145, 6369, 8577, 3531, 6293, 7889, 7917, 2089, 4121, 7103, 6569, 7577, 3982, 5243, 1426, 4756, 4082, 3761, 4546, 3911, 4255, 875, 3745, 7779, 7358, 5360, 5130, 2774, 10351, 5579, 4296, 2975, 10507, 4510, 8185, 2280, 4627, 7044, 5375, 7619, 2951, 5172, 6603, 3029, 7958, 7364, 8385, 8927, 10343, 8901, 551, 2085, 4747, 2918, 8532, 6830, 5534, 7306, 1893, 4354, 9104, 9394, 6625, 9055, 5074, 5805, 1344, 8201, 9561, 58, 3472, 2454, 4083, 8355, 9766, 9542, 3650, 8994, 8178, 1513, 397, 3996, 5201, 8246, 6819, 1116, 4339, 8785, 7817, 2286, 5799, 4558, 4971, 5730, 6776, 10480, 4202, 10243, 8759, 3969, 2725, 1521, 3854, 6077, 2070, 1886, 7400, 2805, 685, 6898, 6844, 9628, 8001, 1987, 3172, 2523, 1440, 2799, 1214, 475, 1141, 5019, 6435, 4792, 2287, 4299, 3237, 8987, 5231, 5936, 4444, 2265, 6319, 3744, 9044, 7874, 6634, 1578, 2134, 8491, 2115, 8487, 6372, 6094, 7627, 5199, 4410, 7933, 7749, 4027, 1430, 10236, 5968, 720, 9579, 8094, 6192, 9871, 1845, 896, 8252, 7842, 10022, 2668, 4657, 3987, 1841, 9308, 6254, 5588, 8923, 278, 5220, 3909, 5350, 2871, 7394, 4925, 3261, 6252, 1916, 2035, 1662, 6472, 1345, 1634, 8779, 9581, 3992, 5140, 2217, 6473, 1190, 8892, 7502, 8638, 1673, 496, 4261, 5786, 4668, 138, 1888, 5596, 8023, 4774, 4055, 8857, 6480, 10532, 4674, 10516, 1487, 2371, 6108, 6364, 1884, 2720, 4852, 4972, 9797, 5559, 9219, 6509, 10105, 2946, 4715, 10365, 6918, 5416, 3347, 4988, 8172, 4064, 4628, 5902, 85, 510, 1859, 2041, 8922, 9072, 7303, 3021, 1197, 7819, 1679, 9267, 6246, 1351, 3903, 7806, 388, 676, 1177, 8276, 4278, 7572, 3111, 926, 2032, 8427, 7956, 7230, 634, 4876, 5053, 7942, 6041, 9964, 6479, 2744, 9292, 5782, 5716, 7106, 9375, 5863, 550, 4692, 9019, 9342, 740, 2224, 4720, 8913, 8165, 639, 3128, 1413, 7142, 4230, 903, 8521, 3634, 9690, 3444, 391, 6200, 6242, 7945, 7191, 1843, 2257, 8079, 4957, 7968, 9574, 2634, 6871, 8615, 10484, 2253, 5463, 7657, 6835, 4025, 3974, 671, 4499, 8149, 3219, 4882, 432, 8652, 7822, 7648, 1762, 8490, 366, 4292, 10126, 6506, 379, 2592, 739, 7559, 410, 9190, 3801, 3932, 9079, 9512, 10033, 54, 4070, 6079, 5668, 790, 5948, 789, 9005, 7971, 7702, 10064, 6280, 98, 1441, 8042, 2010, 9885, 1983, 4459, 5277, 2110, 6290, 9032, 7552, 6053, 4286, 5147, 9577, 4270, 7632, 885, 2462, 3937, 5230, 2484, 6141, 7862, 3294, 3126, 3486, 7320, 2181, 10129, 5345, 208, 4485, 4428, 8789, 9674, 1573, 8098, 9125, 8921, 6386, 1222, 5387, 3308, 5453, 4630, 6187, 1782, 8219, 6832, 4656, 7768, 5562, 674, 168, 1393, 906, 9176, 6893, 9575, 2430, 4016, 8859, 7311, 1292, 2911, 9482, 10513, 6629, 653, 3846, 2921, 8506, 3648, 9986, 313, 3072, 3138, 8138, 6658, 1019, 1565, 7504, 3803, 5608, 7215, 1772, 9411, 5221, 6121, 3233, 3789, 3493, 7479, 4745, 3222, 853, 5744, 3043, 3740, 1825, 6764, 8990, 7844, 6908, 7031, 1122, 5726, 6970, 6303, 3645, 6462, 8984, 5531, 6274, 6919, 4624, 1605, 8583, 4201, 9294, 9088, 8878, 340, 1384, 10217, 7838, 10128, 2157, 762, 2665, 2604, 3428, 2996, 3291, 1820, 5995, 1200, 6858, 4071, 3722, 4502, 1432, 10324, 5048, 7846, 6677, 8774, 7780, 1734, 4309, 10273, 1504, 2562, 1193, 4211, 7490, 7635, 2516, 60, 7625, 2957, 6717, 4294, 5989, 10371, 6929, 649, 982, 483, 9619, 2532, 7556, 4073, 7703, 6901, 4446, 10020, 6671, 9809, 1908, 3629, 544, 10044, 3205, 9404, 6330, 4955, 7940, 9383, 801, 3321, 2981, 2334, 458, 2205, 6351, 9434, 10359, 1994, 9137, 7183, 9277, 5026, 2682, 8374, 8842, 3310, 8934, 2943, 3811, 2097, 2393, 2821, 8726, 9962, 5208, 3461, 3388, 6034, 5979, 18, 10038, 6249, 2494, 1075, 7584, 10100, 4391, 3427, 993, 7863, 7205, 2835, 6421, 6784, 4345, 3638, 8103, 8825, 3672, 7981, 4580, 1716, 10138, 3248, 4572, 3052, 4451, 1114, 4353, 9796, 5399, 4092, 437, 1446, 8659, 9476, 7583, 8234, 8621, 5507, 3212, 4964, 10332, 3606, 2397, 8115, 8944, 8507, 9999, 10237, 7315, 8375, 1660, 5955, 8739, 1431, 9980, 6198, 7255, 9915, 10185, 10326, 4478, 1247, 7934, 1877, 9360, 1398, 451, 5055, 2851, 10065, 1072, 2155, 3975, 7805, 8156, 4404, 8696, 10153, 1688, 1043, 9803, 3580, 1186, 8174, 7444, 5458, 6446, 1999, 1261, 10135, 7946, 1526, 5007, 6696, 8808, 10453, 5833, 2471, 6422, 5820, 5691, 1291, 2435, 2995, 4464, 7463, 4189, 2816, 10163, 2785, 2840, 6363, 8996, 9906, 10213, 6120, 1965, 5591, 1495, 8745, 9768, 4808, 2082, 9430, 3746, 10143, 8449, 2793, 9939, 4547, 7263, 4369, 4321, 2864, 4517, 439, 6653, 3398, 1650, 10394, 4679, 10357, 5913, 7168, 3795, 5414, 9443, 6531, 5063, 1891, 709, 9533, 3326, 3526, 7471, 7289, 7284, 547, 747, 7992, 3160, 9331, 10212, 7976, 4496, 5493, 346, 8176, 4190, 8572, 8692, 2395, 3317, 1030, 6890, 6632, 3720, 3087, 8335, 944, 1213, 5945, 4482, 10122, 8393, 8584, 4803, 9632, 5625, 867, 6217, 4138, 7285, 7011, 8212, 9673, 6452, 6838, 5102, 7456, 6027, 9120, 7224, 7241, 9658, 6232, 8351, 5480, 6216, 8545, 3922, 6241, 851, 5124, 5953, 5602, 5739, 5749, 4675, 4729, 5333, 2330, 6917, 3895, 3289, 8469, 797, 9099, 1475, 2733, 10007, 9787, 9291, 6626, 7815, 4150, 5114, 6725, 4836, 4843, 3058, 8964, 9666, 4991, 10013, 769, 2992, 531, 6732, 1208, 5735, 2749, 5576, 7157, 2275, 3195, 7481, 7711, 7494, 9370, 9341, 7298, 3850, 3732, 6697, 6855, 1306, 813, 3105, 6524, 1358, 4753, 4707, 9950, 302, 8230, 3683, 2630, 8766, 9648, 7010, 7139, 1632, 8250, 4716, 7319, 6288, 10074, 6175, 8760, 9258, 6317, 7594, 6949, 6240, 2587, 211, 8326, 6433, 4010, 1421, 1209, 9723, 4511, 5288, 5088, 5798, 9266, 8057, 10462, 8254, 3843, 2177, 6794, 1622, 2249, 6347, 3848, 3322, 3410, 5061, 5012, 1293, 9245, 448, 2676, 8658, 1759, 987, 2477, 3657, 3767, 2817, 5461, 7197, 2163, 8548, 4600, 9449, 10124, 5731, 9202, 6325, 2834, 10426, 1628, 1403, 2968, 6323, 7179, 6490, 4936, 9236, 786, 7849, 190, 218, 101, 8486, 4312, 9446, 2396, 2389, 2013, 2574, 6076, 9141, 6605, 3338, 1943, 746, 7460, 4078, 5541, 8763, 9670, 2900, 2571, 4586, 119, 7717, 2086, 7935, 1144, 8089, 8468, 7443, 6211, 323, 4708, 8518, 4332, 8384, 7078, 9097, 5038, 8437, 1995, 6780, 4388, 2881, 6982, 5890, 9773, 3738, 441, 9717, 6559, 10452, 3365, 4606, 8083, 5216, 5173, 2166, 3359, 3213, 9483, 6882, 4842, 5824, 9295, 2226, 370, 2472, 2591, 9148, 964, 5077, 1003, 5367, 2031, 974, 2879, 6495, 9539, 3814, 7054, 5284, 6786, 4717, 8796, 7581, 6101, 7789, 6544, 824, 311, 8377, 4554, 1242, 8613, 7886, 1163, 9257, 4283, 2291, 6109, 5819, 3425, 3552, 7050, 293, 9367, 842, 2475, 3557, 4113, 4492, 1264, 9321, 6957, 1245, 5914, 406, 6753, 6669, 226, 5784, 8852, 5353, 3576, 3887, 3519, 9223, 9261, 8081, 4423, 7854, 6822, 4582, 8900, 7135, 9174, 6827, 6251, 6060, 9479, 10116, 2042, 7167, 2367, 5449, 2321, 6789, 10337, 9953, 5155, 10264, 9770, 2541, 8863, 6567, 2274, 4039, 5767, 828, 5993, 3362, 1064, 6666, 2131, 2324, 6747, 4744, 8430, 9264, 3136, 364, 654, 7644, 2964, 6220, 8514, 1833, 830, 7598, 7143, 9776, 9981, 3841, 10446, 10475, 4162, 5184, 1235, 7238, 4149, 8953, 2175, 59, 656, 6972, 10199, 10009, 10046, 5466, 196, 7997, 7878, 5078, 3442, 7112, 7783, 8784, 3140, 1508, 7184, 8423, 8950, 736, 7473, 7277, 2526, 1270, 7318, 10323, 1396, 2904, 925, 420, 2309, 7918, 6649, 4673, 3593, 546, 2222, 6856, 9569, 8417, 756, 1331, 4047, 848, 3891, 9966, 5258, 7614, 5145, 10306, 6397, 300, 6579, 3804, 7159, 10412, 5872, 8202, 9828, 9325, 8757, 7658, 4024, 3366, 2398, 5035, 2255, 3543, 6654, 8800, 9565, 537, 6091, 5601, 393, 4556, 2501, 4678, 4818, 7540, 10047, 8162, 66, 3821, 4209, 7865, 6436, 8601, 5324, 2045, 3787, 2557, 9020, 10388, 8141, 5429, 44, 2844, 2907, 4231, 8282, 10218, 5882, 6132, 8060, 7592, 10136, 6298, 5640, 4023, 3071, 1211, 8571, 9547, 9049, 2934, 4205, 5023, 3946, 2003, 1950, 3596, 1966, 9540, 9988, 9813, 7275, 7883, 2802, 990, 3641, 5388, 4224, 5474, 7140, 4992, 8798, 3054, 6952, 415, 6756, 9224, 3762, 1355, 9772, 111, 5165, 6814, 182, 4710, 2285, 1423, 10391, 3860, 2151, 7736, 6884, 7988, 9920, 3284, 7348, 7568, 5471, 3989, 9018, 10165, 6447, 2355, 9819, 8820, 9989, 804, 1996, 3204, 320, 6393, 8414, 7754, 3318, 4840, 7116, 3520, 3662, 5652, 1238, 7264, 5303, 7928, 10083, 8226, 4959, 9126, 8525, 2140, 8976, 864, 3144, 9426, 3676, 10325, 5073, 1572, 4316, 7516, 1723, 6840, 820, 3579, 1733, 8493, 10250, 4094, 699, 222, 8187, 2411, 4381, 7955, 8879, 3174, 5637, 5187, 10245, 5194, 5484, 9240, 2074, 8466, 3600, 1375, 2060, 7756, 7387, 4781, 8022, 2585, 8476, 180, 10271, 10427, 4594, 6469, 7480, 5126, 7597, 9197, 490, 5942, 6225, 2814, 9973, 3880, 2414, 7855, 7606, 3223, 3892, 9414, 2043, 9336, 1048, 9923, 3750, 3786, 1933, 3064, 9701, 9612, 6861, 5264, 10190, 4644, 4705, 4227, 9298, 7222, 8261, 1081, 5289, 1010, 4793, 3532, 3295, 5397, 6525, 6572, 9098, 6935, 10311, 8390, 6449, 2786, 703, 288, 2868, 651, 1471, 5760, 2919, 7427, 6454, 4512, 90, 5421, 9827, 3918, 9013, 200, 908, 7692, 5492, 10330, 2677, 1221, 3711, 4719, 3478, 308, 6223, 9729, 1887, 7624, 10003, 9930, 6438, 4697, 8480, 1604, 7851, 291, 1448, 8845, 9000, 1693, 8742, 9830, 7636, 1922, 9060, 3845, 5095, 10525, 1740, 8971, 6995, 4346, 5966, 7482, 3610, 5204, 5704, 9525, 8787, 5348, 2578, 7033, 5396, 5227, 6695, 2939, 2600, 4172, 1563, 7357, 3055, 3872, 9113, 2295, 301, 1456, 5949, 5143, 8482, 2320, 8598, 6031, 4144, 7938, 2942, 5248, 9836, 434, 9641, 9955, 7740, 2560, 4861, 1739, 9870, 7691, 1285, 9059, 1184, 10051, 408, 4935, 5497, 10118, 5840, 9847, 9911, 3003, 9548, 9068, 520, 9447, 2998, 3192, 9942, 7841, 8101, 9152, 1780, 1629, 6180, 189, 1569, 2826, 7373, 5862, 10527, 7015, 9182, 3042, 2830, 7022, 6616, 7466, 4099, 8697, 7901, 1463, 2093, 7267, 3258, 994, 2803, 2621, 8885, 5166, 4054, 1550, 2882, 2777, 1115, 9580, 10473, 7189, 8188, 932, 395, 7621, 2236, 8143, 1322, 2206, 1709, 3785, 677, 8691, 3273, 9207, 4865, 8684, 1406, 4966, 8320, 718, 6594, 1538, 8749, 4248, 1903, 814, 9419, 1077, 4495, 3780, 5224, 5180, 2019, 3001, 3902, 5312, 5846, 3149, 7180, 2898, 8207, 3525, 9134, 6026, 8021, 8790, 7459, 65, 2570, 8251, 453, 5317, 199, 4409, 9758, 5478, 5108, 6231, 1883, 6341, 9807, 3604, 6782, 4527, 8675, 10518, 8221, 7963, 7523, 1842, 8703, 8909, 2442, 9275, 7070, 7462, 5029, 1207, 10060, 5756, 2945, 4207, 2925, 5251, 3774, 2756, 8371, 7548, 3945, 5738, 1885, 2837, 996, 929, 9165, 8822, 8836, 4984, 7102, 8897, 3473, 9138, 5901, 7363, 8851, 2017, 3063, 2812, 8025, 5578, 1410, 4074, 8967, 6534, 5222, 7877, 2293, 2492, 2554, 2237, 3346, 8956, 3601, 5395, 6261, 1646, 5316, 1014, 9076, 2659, 10467, 62, 7256, 2589, 8285, 3864, 5984, 7835, 3719, 3888, 5135, 8235, 5514, 5598, 3602, 3815, 9562, 5817, 874, 6889, 7355, 1012, 10514, 6016, 4250, 1137, 3505, 2855, 6118, 686, 9640, 3839, 642, 83, 6189, 3810, 3454, 9737, 9715, 4445, 4598, 9388, 7887, 9556, 3457, 6008, 9254, 6297, 2345, 4298, 8102, 10093, 4225, 7967, 9323, 6461, 412, 7411, 10152, 4956, 4629, 2458, 5340, 7521, 5494, 10477, 2464, 1257, 8474, 7982, 6353, 10137, 4599, 8441, 1800, 3360, 7046, 6089, 7916, 8974, 4450, 936, 2406, 10485, 2739, 3426, 3253, 2713, 7029, 4973, 5270, 6253, 4484, 2307, 524, 6813, 1947, 8459, 8077, 9122, 5565, 5006, 9365, 6587, 381, 7530, 10087, 9001, 5043, 4920, 5462, 1365, 233, 3173, 4330, 7499, 9145, 7148, 4367, 2869, 9136, 123, 668, 7639, 7111, 10256, 1467, 7362, 2534, 8389, 4740, 2434, 3824, 3159, 9798, 4528, 7909, 9157, 9708, 7738, 9338, 10369, 6540, 6533, 449, 6978, 8959, 9118, 4481, 5662, 5306, 1518, 1240, 10008, 3110, 2075, 3541, 6565, 6916, 6123, 10076, 2579, 9918, 7827, 4583, 5024, 7051, 878, 10231, 7991, 8945, 7390, 9081, 9840, 881, 8743, 6190, 4922, 6177, 1601, 7529, 963, 9396, 8268, 6532, 2808, 5876, 5803, 1271, 3538, 2340, 9991, 9745, 9890, 8327, 8559, 9850, 614, 553, 1301, 8919, 9777, 2312, 10367, 522, 4879, 2271, 1835, 6084, 5257, 4486, 8382, 186, 7784, 6803, 8682, 4646, 7651, 5926, 6409, 4362, 6886, 3158, 3542, 10254, 6358, 9934, 7384, 2310, 2250, 9742, 6718, 6990, 7616, 8314, 2450, 9084, 8517, 4284, 427, 8592, 9591, 8553, 6824, 4448, 5211, 8120, 6140, 8673, 8155, 8963, 1390, 573, 6763, 2233, 9695, 4197, 5869, 7160, 3913, 5420, 4743, 10366, 6047, 10379, 1284, 10196, 7729, 1170, 2967, 10498, 3480, 7069, 2058, 5347, 4213, 1554, 4243, 5661, 34, 3960, 10530, 2504, 1990, 9233, 9392, 6258, 9702, 2514, 5921, 2441, 10301, 9867, 4787, 7305, 3033, 8126, 4020, 2193, 10377, 2451, 2876, 9602, 3193, 2730, 8484, 2428, 9253, 4168, 8917, 9705, 1371, 1503, 8286, 1015, 4655, 6311, 2801, 9048, 70, 9515, 960, 10497, 5530, 2225, 9689, 4855, 1587, 2883, 3587, 3868, 7322, 998, 4166, 1196, 5804, 787, 3717, 9417, 6809, 7087, 2381, 5160, 3132, 9800, 10226, 2735, 6291, 1325, 8737, 1745, 2527, 680, 3829, 6098, 6575, 7071, 6209, 2493, 2098, 3016, 7808, 2990, 5938, 466, 3477, 8217, 3763, 7642, 10086, 7695, 6035, 1109, 6571, 3401, 1154, 6119, 8636, 3733, 5090, 4505, 3189, 1783, 4809, 2639, 6635, 3120, 6939, 9334, 6262, 5209, 2755, 3396, 4013, 9036, 7136, 9167, 160, 9791, 9721, 2553, 7233, 1361, 8203, 5503, 5686, 6204, 10417, 5419, 8199, 9498, 9078, 751, 310, 8379, 1253, 9977, 8928, 723, 921, 7012, 136, 2202, 2511, 3633, 1422, 9709, 2078, 7028, 2107, 8530, 4198, 1037, 9439, 3208, 9892, 6300, 3926, 2268, 2325, 5405, 7560, 8189, 5299, 3, 619, 8006, 4550, 3447, 10261, 3875, 6878, 3115, 4590, 8911, 5292, 8317, 2465, 3694, 3185, 1942, 4940, 1846, 2210, 693, 10052, 3890, 749, 5441, 4778, 2669, 3608, 5279, 5169, 893, 282, 10523, 1667, 505, 7100, 8403, 6936, 3163, 8586, 3276, 5370, 212, 4822, 3435, 9635, 9794, 9444, 6723, 9303, 7265, 9133, 4850, 1553, 7293, 113, 3332, 1311, 1174, 1267, 9162, 8685, 7823, 9041, 5263, 6112, 4661, 374, 1773, 7201, 3560, 6955, 239, 2833, 5734, 8635, 7758, 950, 3020, 7226, 8100, 5801, 10410, 526, 9891, 2521, 2105, 7232, 3079, 822, 6199, 7282, 504, 4552, 6980, 1882, 6442, 10042, 4037, 6165, 4941, 958, 839, 7252, 5286, 5844, 1212, 3103, 9034, 3592, 5997, 5607, 4898, 4522, 3167, 1294, 1013, 10310, 8805, 8903, 8068, 6102, 6263, 9852, 8983, 1330, 2408, 7804, 6354, 6395, 7374, 827, 3849, 9455, 3938, 4379, 1860, 164, 5512, 5757, 4373, 1698, 9243, 8693, 7113, 116, 6973, 1278, 3304, 808, 1368, 8190, 8463, 7295, 6932, 3581, 6007, 9615, 650, 2829, 1932, 8603, 6289, 10494, 5455, 9121, 1175, 3168, 6489, 8148, 6282, 8767, 1674, 3927, 9652, 4077, 10322, 8241, 7254, 8442, 5599, 4738, 967, 3245, 3286, 1623, 8181, 3139, 9119, 357, 7309, 10066, 9767, 3333, 7038, 7064, 4469, 7130, 8891, 8144, 3098, 995, 1870, 5762, 205, 2026, 8609, 6676, 8026, 10464, 2813, 9158, 435, 5790, 9181, 9329, 9390, 6197, 2495, 6174, 3781, 4625, 3793, 1482, 760, 6404, 251, 7739, 5759, 3678, 4748, 1419, 7475, 9314, 895, 1625, 3704, 8707, 7794, 8096, 5958, 5468, 4848, 6379, 3571, 1228, 129, 1519, 8020, 9743, 8312, 1363, 1058, 6743, 9108, 8065, 7076, 7869, 7229, 2638, 8783, 5116, 141, 9011, 3728, 7562, 8232, 876, 9877, 9007, 6481, 3773, 5658, 422, 4530, 287, 1664, 1319, 6343, 1252, 3622, 7558, 6458, 5991, 5490, 8824, 6851, 7461, 8341, 2258, 1534, 3566, 7546, 5831, 9779, 5849, 6338, 9317, 6340, 4455, 763, 9951, 9278, 1138, 9464, 6218, 9377, 501, 2488, 6946, 8754, 776, 194, 1101, 10004, 8473, 1532, 7032, 4140, 9521, 10468, 10466, 7689, 6899, 6210, 10151, 6785, 666, 5860, 7141, 6862, 5911, 8116, 9435, 5702, 715, 3758, 6170, 5586, 9611, 4907, 6617, 7503, 9061, 1608, 2519, 597, 3162, 8043, 3250, 5537, 2470, 4323, 1902, 2456, 8444, 6647, 7913, 8204, 3540, 7688, 7872, 3059, 7755, 2339, 4351, 246, 5526, 4816, 2184, 8, 7645, 230, 4120, 3986, 7276, 5190, 4277, 416, 2759, 8590, 4245, 6705, 5931, 10435, 6875, 7023, 4933, 6025, 4576, 2890, 6828, 7610, 8562, 7600, 6773, 6771, 6040, 7656, 7464, 1230, 5627, 9040, 1651, 3995, 4671, 1444, 7351, 9066, 3718, 8216, 665, 9216, 2653, 5647, 5260, 394, 8979, 5959, 1993, 8034, 3032, 7493, 6281, 3456, 1275, 1895, 8639, 6431, 9832, 3188, 88, 5217, 6547, 6836, 2599, 636, 10423, 1332, 5683, 1171, 492, 2880, 5469, 5861, 3341, 1035, 9842, 2752, 912, 2655, 10078, 268, 1152, 6464, 1181, 2963, 8344, 584, 8069, 911, 9593, 2999, 2772, 6556, 6427, 6744, 7219, 2092, 8106, 1584, 1272, 7412, 7533, 3178, 588, 3881, 3451, 2025, 69, 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5146, 893, 4722, 4281, 4697, 8751, 589, 6545, 8210, 8415, 9481, 8422, 6305, 4521, 5502, 3739, 5677, 9223, 6849, 6068, 6370, 8812, 8004, 4461, 3740, 5646, 3675, 7417, 10214, 5406, 2673, 1465, 2336, 1116, 8008, 9174, 3774, 3021, 7799, 296, 6950, 4528, 7377, 125, 2965, 6358, 8382, 5201, 1264, 8867, 4718, 8948, 2436, 5233, 7166, 1253, 4561, 3392, 2693, 9493, 1516, 7554, 10396, 9616, 8128, 10192, 1104, 1329, 7297, 4069, 5313, 9674, 9959, 4382, 367, 1988, 6224, 9798, 10394, 4562, 231, 1381, 9245, 5762, 10401, 3988, 6557, 730, 3875, 8080, 8854, 2824, 3457, 9460, 211, 2126, 2668, 521, 4590, 4932, 1511, 8007, 2573, 10413, 10496, 7681, 3626, 4963, 5529, 7346, 9688, 2815, 784, 2257, 2603, 4286, 1466, 2910, 5849, 8453, 197, 7718, 2042, 10186, 9032, 2472, 4736, 3802, 7910, 3650, 8797, 6547, 225, 4952, 8105, 9729, 2044, 9583, 6615, 10443, 10444, 9066, 6152, 3407, 9064, 7032, 3655, 6443, 8460, 6307, 2782, 6388, 647, 3350, 4683, 3117, 2703, 208, 3034, 1819, 1234, 8073, 2928, 2904, 6368, 4995, 1872, 9566, 10268, 2168, 3884, 1778, 2031, 8161, 6611, 550, 9380, 4121, 5759, 1057, 4093, 8150, 4365, 6130, 6302, 3581, 3510, 9310, 9579, 5382, 9018, 2922, 1929, 6907, 1346, 10153, 1740, 9827, 541, 918, 267, 5901, 172, 1158, 387, 7185, 383, 7072, 9418, 2692, 6833, 6456, 2588, 6470, 2984, 3879, 881, 9796, 6495, 3673, 7212, 2273, 10388, 586, 8092, 982, 534, 2501, 4745, 5864, 9623, 2720, 5096, 726, 4036, 2957, 4644, 3172, 740, 10088, 10410, 2967, 8877, 8259, 2376, 888, 5704, 9071, 9660, 1285, 10505, 7292, 4447, 8328, 10173, 7846, 1444, 672, 4658, 9387, 4527, 4542, 2423, 4222, 1227, 2056, 7732, 8772, 1447, 1820, 3333, 4274, 33, 8225, 2246, 7888, 9522, 9556, 6070, 2482, 2314, 8593, 4732, 10312, 5888, 6660, 2469, 4054, 1203, 1584, 382, 3261, 2429, 3415, 2612, 2886, 6071, 9988, 5079, 9734, 582, 1896, 3883, 7380, 4216, 1175, 5122, 7092, 6493, 10187, 10362, 9784, 3017, 1923, 1362, 4283, 3439, 1059, 9569, 10427, 2983, 7200, 2046, 6867, 1690, 3466, 6272, 9205, 8631, 5924, 4638, 6894, 8132, 9868, 577, 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7124, 8501, 3641, 9232, 694, 6822, 7199, 7264, 6842, 7886, 5758, 9746, 4545, 433, 4726, 6574, 6394, 4323, 7421, 10307, 2437, 593, 9411, 9612, 6632, 1061, 1166, 3004, 10131, 4560, 4399, 9869, 557, 4141, 2619, 727, 750, 6880, 10477, 323, 2237, 1160, 3989, 7152, 3836, 7262, 6242, 2780, 2366, 456, 7898, 5080, 2549, 960, 500, 2069, 3858, 7271, 8642, 4082, 4112, 3520, 9503, 5239, 6872, 5465, 4129, 3284, 2751, 10270, 1328, 4328, 8245, 8981, 1580, 7582, 2636, 5805, 802, 3679, 9771, 7710, 1000, 5661, 4039, 6605, 3445, 3144, 9489, 4404, 6323, 4821, 4077, 7973, 4127, 8483, 3889, 10510, 8766, 9470, 1519, 6340, 6593, 6114, 9454, 3663, 2969, 7193, 2350, 3310, 6451, 1779, 324, 5909, 8072, 6284, 5946, 8669, 1388, 9098, 6845, 16, 7186, 9050, 1788, 4533, 9502, 8882, 4188, 507, 5904, 3431, 825, 9621, 8539, 6211, 9711, 7731, 6899, 9961, 9718, 4677, 9859, 2718, 6143, 6357, 2650, 1619, 936, 8322, 3831, 7680, 9451, 4703, 8840, 9295, 5098, 5819, 8079, 4883, 4715, 3118, 3926, 9642, 2916, 2584, 9220, 3925, 1318, 4921, 4887, 7402, 6810, 4808, 7403, 1139, 7129, 10047, 5709, 7113, 4764, 2087, 6506, 5121, 46, 5535, 1617, 3620, 3057, 6651, 782, 4569, 7523, 5860, 3706, 2349, 2315, 4214, 1188, 5273, 10000, 5342, 8091, 2878, 5481, 4486, 8194, 8445, 569, 8980, 8212, 3598, 7211, 7760, 8173, 9298, 7229, 7045, 8022, 8611, 10279, 7876, 4204, 7802, 9979, 9374, 7668, 7991, 3767, 8023, 2792, 8076, 3992, 5501, 580, 6888, 7938, 6208, 2442, 2148, 7021, 8348, 9639, 6952, 6310, 4778, 6634, 8271, 8675, 6980, 4873, 1450, 1604, 5993, 151, 6029, 1326, 6028, 7605, 1884, 4597, 1878, 6214, 928, 8170, 8995, 9808, 7959, 1131, 7853, 190, 8768, 10351, 10061, 7350, 5325, 8911, 5418, 131, 4148, 2789, 8557, 4696, 5589, 3292, 5489, 7020, 420, 7508, 7699, 7978, 5801, 4118, 6196, 7290, 326, 9145, 900, 7874, 5843, 5264, 10520, 2899, 9946, 5735, 1959, 2721, 4291, 7033, 3616, 9315, 4344, 7303, 10456, 8968, 8568, 5613, 6820, 8970, 7983, 4330, 3851, 3741, 7407, 10291, 9407, 7498, 1805, 351, 8199, 7236, 9001, 3079, 4228, 1913, 6087, 8146, 4272, 4174, 3762, 6598, 6687, 5397, 4641, 2049, 3983, 2697, 3923, 1933, 1860, 6416, 7307, 5818, 153, 6160, 4691, 7304, 8548, 3087, 3195, 10018, 6618, 7926, 2045, 9453, 6101, 5365, 6753, 5681, 5032, 7656, 2635, 6060, 1981, 2018, 1785, 1565, 4080, 612, 7653, 7587, 1033, 1996, 5216, 8288, 9208, 6432, 9278, 4063, 1192, 4796, 7031, 1751, 467, 10069, 5208, 3832, 9065, 9107, 5799, 3106, 9494, 8081, 120, 5401, 2532, 2649, 9657, 9543, 2598, 7746, 7941, 5417, 5344, 6433, 47, 5262, 8391, 8265, 9889, 7635, 5845, 2503, 1187, 2348, 5172, 4673, 4048, 7533, 4415, 6283, 8014, 7992, 8957, 217, 10532, 5567, 5362, 226, 4800, 3309, 5625, 7771, 1753, 8254, 6011, 7468, 3192, 3233, 9150, 721, 2190, 9478, 1677, 468, 6864, 92, 3054, 8770, 3977, 7401, 3322, 7995, 7299, 1016, 7197, 4601, 4191, 4643, 7178, 4772, 7657, 5324, 5029, 9277, 4056, 2759, 4133, 2736, 8359, 3456, 1115, 2500, 1251, 3227, 7538, 499, 8999, 7572, 10480, 8378, 59, 1589, 6139, 616, 3002, 4964, 7967, 605, 967, 10125, 6046, 9336, 64, 4338, 1023, 5347, 779, 1437, 5753, 9398, 8857, 9527, 5493, 2391, 7770, 841, 5260, 3704, 2477, 336, 6766, 6686, 3986, 3504, 6067, 1018, 9584, 6536, 4894, 3319, 9137, 4588, 10248, 6393, 4670, 1075, 1366, 10179, 5614, 2672, 3330, 5380, 4630, 3109, 3653, 8491, 9634, 7466, 5452, 8311, 8891, 10380, 6915, 10512, 3818, 8773, 5730, 1631, 1095, 4548, 1532, 7742, 8155, 1786, 1562, 7373, 2609, 1258, 9333, 2165, 7994, 7526, 6548, 7807, 6098, 2991, 2646, 8940, 1325, 8342, 6515, 8989, 3775, 5470, 8074, 6413, 9803, 3421, 10484, 9986, 1372, 9818, 2373, 4841, 285, 8689, 5018, 5482, 3781, 1118, 1855, 3404, 5712, 6965, 7205, 4336, 5521, 10255, 6142, 6559, 5225, 2037, 5756, 10322, 9235, 5102, 558, 920, 8362, 8208, 9585, 7925, 4840, 7073, 7930, 1213, 9477, 1279, 203, 6814, 6181, 4867, 5794, 3083, 4847, 1844, 8599, 10189, 8090, 10293, 5376, 8497, 3418, 3946, 3045, 168, 677, 1433, 6437, 1899, 2067, 3776, 9000, 5668, 10281, 7206, 3289, 6928, 8838, 3264, 1348, 9122, 8228, 5829, 7911, 1152, 5478, 8690, 6553, 4088, 3631, 9263, 4517, 8217, 9101, 664, 9482, 1611, 3084, 3732, 9190, 2892, 7381, 7734, 437, 566, 1657, 2347, 1041, 2863, 1352, 5142, 3154, 5736, 2195, 269, 4217, 8630, 5996, 7084, 5054, 68, 8420, 4746, 9338, 1495, 3343, 6446, 9378, 9706, 1689, 9524, 7596, 3895, 6313, 8712, 3316, 2977, 4767, 6120, 4810, 2460, 411, 8343, 2117, 9172, 72, 8820, 1656, 6519, 9893, 3865, 7308, 2050, 986, 6153, 5433, 9858, 81, 7191, 5927, 7082, 5928, 9780, 4611, 2551, 8629, 3293, 252, 7671, 8878, 7643, 7964, 9041, 8103, 9218, 2554, 545, 7127, 10458, 4277, 8577, 2996, 9441, 4671, 6793, 1076, 2059, 10269, 1809, 1987, 3664, 5215, 551, 274, 7705, 8113, 6737, 2496, 5094, 10013, 5123, 9255, 7580, 6908, 43, 3796, 6582, 7551, 3901, 1761, 640, 127, 9532, 5466, 10109, 18, 5438, 10159, 2162, 698, 5678, 805, 4979, 3677, 3622, 4749, 7914, 1688, 5620, 7598, 4742, 7427, 1674, 10182, 9165, 1582, 6529, 1194, 3281, 6771, 438, 1921, 4946, 5301, 4481, 3, 8164, 3627, 10163, 3536, 10513, 4280, 950, 5050, 8125, 8009, 2279, 10332, 7730, 3299, 9229, 3513, 9435, 3018, 3970, 8710, 2261, 7791, 2902, 5999, 2282, 8175, 10056, 9261, 4146, 1854, 6036, 4707, 1254, 8457, 6315, 7076, 1243, 10053, 8494, 7981, 9680, 6165, 3566, 4501, 10168, 7513, 6424, 4798, 2710, 9468, 787, 2457, 1720, 13, 9742, 6332, 8781, 9156, 4966, 1703, 5184, 7804, 7365, 10272, 9240, 8, 5043, 5586, 1173, 10286, 1908, 4019, 639, 7951, 574, 2563, 9340, 800, 8866, 423, 10208, 5992, 7412, 504, 9683, 3993, 5299, 3239, 5195, 3788, 6591, 8716, 403, 4314, 5867, 2582, 7261, 3399, 7094, 8787, 8859, 9091, 7601, 377, 3537, 3903, 3819, 4511, 8774, 8987, 6268, 8532, 2735, 2981, 7342, 2379, 7247, 4273, 7436, 10283, 9891, 6718, 2835, 6874, 5655, 9570, 2451, 8344, 8234, 2197, 3979, 7518, 3455, 8780, 69, 9581, 2235, 177, 9391, 2632, 10161, 8172, 8395, 10440, 174, 8037, 7797, 3667, 5595, 237, 6170, 2934, 3487, 6262, 9588, 9146, 8975, 10181, 1551, 5606, 4343, 485, 4142, 9225, 8239, 5656, 7550, 9326, 1894, 1842, 9047, 371, 4430, 1029, 9352, 2562, 311, 1661, 431, 2183, 2561, 118, 6103, 5820, 1398, 5427, 1965, 5400, 9058, 2528, 1506, 641, 7117, 7822, 10314, 9403, 8110, 3681, 9187, 2345, 3949, 9517, 8952, 5352, 3133, 4047, 4910, 2769, 6643, 2605, 3886, 707, 10052, 5413, 1849, 3792, 10358, 4042, 4367, 4477, 8261, 3828, 7492, 4340, 3586, 8990, 8329, 5267, 713, 3905, 1888, 10353, 6220, 10213, 1561, 1315, 10405, 1795, 2490, 7141, 3151, 10419, 6698, 9662, 6765, 8070, 8547, 2779, 7627, 1757, 5785, 9972, 10338, 7379, 1040, 8350, 1856, 417, 162, 425, 8392, 7159, 1702, 4520, 529, 2219, 3618, 6147, 4058, 9421, 8423, 4919, 6319, 4243, 7187, 2728, 8966, 9401, 5636, 2181, 7107, 4895, 4408, 3295, 329, 9557, 5961, 4668, 4201, 607, 5023, 10233, 7748, 5582, 6027, 463, 32, 1535, 5561, 822, 5271, 4309, 5790, 7754, 5733, 964, 7530, 4360, 2747, 8102, 3472, 9049, 8991, 136, 7729, 7455, 3178, 770, 7714, 4750, 6052, 9906, 1644, 1165, 8974, 9600, 556, 2764, 1001, 682, 0, 8006, 9965, 3185, 2756, 5803, 4891, 6824, 10238, 6893, 1683, 8190, 6116, 10275, 8406, 4147, 6066, 1214, 5738, 3213, 1441, 8624, 5571, 5564, 9568, 8818, 10469, 4376, 4731, 3547, 7208, 7664, 330, 4619, 1137, 6869, 9901, 2176, 5428, 3924, 9941, 2799, 6619, 6625, 3491, 2711, 1598, 9270, 3145, 7865, 862, 9483, 9673, 7356, 4727, 3804, 2343, 7312, 10049, 1082, 2539, 480, 8468, 8401, 6808, 3096, 4140, 8035, 7955, 4936, 6870, 8025, 760, 3876, 8154, 2060, 925, 8868, 2341, 3383, 270, 2542, 4901, 3492, 8321, 9964, 4918, 9928, 5487, 5227, 9012, 7434, 7950, 738, 5603, 2773, 4857, 1841, 2713, 2264, 2538, 8660, 1212, 5555, 9882, 1850, 164, 7548, 1226, 149, 10379, 9513, 9337, 5844, 4353, 5498, 10058, 7, 7824, 1837, 8740, 9426, 1017, 3532, 4470, 853, 600, 2658, 5295, 62, 1387, 6859, 5637, 4175, 2655, 6425, 10475, 8418, 5621, 3285, 2882, 7144, 2048, 3719, 6724, 6504, 7625, 10059, 6599, 2883, 9694, 5021, 1732, 7942, 8578, 171, 3452, 2986, 5131, 1944, 9318, 8478, 5275, 1275, 2846, 2671, 7326, 9705, 5051, 5061, 8720, 3318, 7344, 1523, 8383, 828, 4067, 5204, 7259, 1122, 7408, 3345, 9712, 941, 691, 6183, 83, 5894, 6638, 9495, 7209, 7694, 720, 6239, 3085, 8131, 5628, 4555, 2669, 3672, 6158, 7609, 940, 1770, 8169, 8924, 706, 6723, 583, 9737, 9553, 123, 6333, 4326, 9217, 859, 10446, 2259, 1174, 6979, 6430, 4633, 5198, 1970, 1930, 10452, 442, 2203, 5562, 3485, 8257, 6126, 1936, 945, 7065, 4409, 10082, 6244, 4725, 4412, 9024, 1771, 5066, 4872, 8323, 10160, 4495, 6556, 9254, 5568, 6055, 10489, 649, 2920, 9879, 6904, 10426, 4391, 5590, 2064, 3855, 5350, 9234, 1922, 1879, 283, 3729, 5598, 6100, 7272, 7086, 2318, 8627, 9656, 3777, 7349, 3623, 3364, 4947, 2152, 6657, 6846, 771, 9180, 5513, 907, 3010, 2685, 1262, 2231, 10334, 6670, 4083, 8514, 1530, 6818, 4790, 5112, 9790, 3075, 5565, 2593, 398, 7196, 4111, 1625, 6696, 2419, 2579, 7769, 6527, 4720, 8196, 4229, 8879, 4161, 1649, 2571, 6113, 8307, 1960, 3593, 8965, 3368, 6304, 3086, 3784, 402, 3837, 8040, 1585, 9770, 9259, 5274, 3066, 5705, 9528, 366, 4455, 5781, 3237, 2027, 1507, 10164, 3103, 5213, 3046, 5246, 5078, 2611, 2698, 568, 4279, 9268, 7388, 9497, 8530, 2196, 6321, 475, 7254, 8360, 6151, 9457, 7050, 7449, 7727, 1036, 8381, 4496, 5770, 3646, 10290, 471, 1687, 4948, 260, 147, 1436, 6176, 7737, 9758, 1125, 6512, 9210, 8429, 5882, 10240, 792, 6825, 1052, 381, 2395, 8916, 9464, 2171, 157, 6890, 2212, 10274, 7811, 1109, 2289, 1576, 5187, 5314, 3940, 1685, 7863, 8777, 10265, 464, 4427, 5134, 1830, 9327, 6948, 701, 6222, 8588, 5657, 8443, 4117, 6136, 5369, 5305, 10508, 3898, 10167, 693, 7180, 4909, 9800, 4170, 25, 4702, 6934, 2808, 1457, 3835, 1901, 7062, 8099, 2369, 7239, 5366, 876, 1586, 1089, 7504, 3611, 2566, 385, 4104, 8748, 3870, 6159, 1651, 4692, 2940, 5104, 7171, 8394, 8527, 4364, 9966, 9224, 34, 7416, 7592, 10152, 1383, 767, 1170, 6700, 2153, 660, 953, 9209, 7161, 3955, 9294, 4259, 7768, 3703, 6261, 5674, 995, 2829, 3811, 4260, 8811, 7234, 2651, 3427, 9740, 10315, 3065, 6614, 1763, 8495, 8969, 1518, 2941, 4160, 353, 10284, 9865, 5700, 8000, 3437, 9400, 2545, 9915, 9488, 4507, 7035, 1199, 7251, 5084, 9239, 3972, 6728, 1559, 5336, 9689, 4310, 6309, 2127, 10138, 5253, 3349, 6640, 5648, 10329, 8833, 2830, 2885, 2656, 5716, 9589, 4187, 8582, 9161, 9078, 5307, 7238, 3201, 3139, 7649, 3985, 5660, 8735, 2387, 6355, 1378, 9507, 8379, 9006, 7488, 9469, 916, 8143, 1149, 3748, 4011, 97, 10051, 346, 3296, 9717, 10050, 3414, 2384, 4710, 8623, 8181, 8939, 6584, 4752, 9399, 2975, 265, 10470, 5377, 5067, 8933, 4023, 5852, 1128, 9020, 7525, 4655, 5449, 445, 680, 686, 2641, 173, 1917, 3794, 880, 8945, 1934, 6487, 8384, 4193, 4759, 9555, 1803, 3423, 1056, 1427, 1415, 9597, 6289, 6805, 7184, 2901, 7617, 8973, 9934, 10215, 244, 7389, 9975, 6238, 6349, 1769, 6714, 7452, 7151, 2851, 8027, 7321, 7334, 9852, 41, 3951, 2399, 7735, 1156, 8278, 1955, 301, 5618, 9952, 6871, 9613, 1608, 8596, 2831, 7112, 4213, 6091, 8026, 9406, 7896, 8855, 1553, 1572, 7285, 9029, 2819, 9922, 5026, 7433, 6256, 3206, 5544, 8064, 4687, 10111, 8606, 9802, 6990, 6561, 1298, 7527, 6778, 10530, 1681, 7052, 4543, 10350, 5156, 6520, 8722, 3909, 8479, 7097, 5399, 5932, 3095, 1349, 3222, 9428, 9649, 4290, 9367, 6656, 2230, 3212, 10428, 7720, 8615, 3183, 9886, 229, 9408, 246, 8951, 4724, 3061, 10365, 8472, 299, 6725, 6461, 1345, 4348, 5714, 7615, 8442, 809, 1972, 7675, 6489, 3724, 3157, 1306, 2660, 4004, 3638, 316, 1591, 1186, 4425, 7986, 3771, 6555, 8665, 8809, 4497, 6204, 10320, 10418, 7325, 10195, 1537, 3205, 7070, 9927, 1709, 1238, 1698, 3042, 7778, 733, 4492, 785, 7982, 4429, 6589, 2786, 1010, 10028, 4458, 4880, 3718, 3676, 6274, 8998, 6868, 1963, 741, 5016, 2626, 7908, 5348, 3242, 9123, 5747, 194, 5536, 9885, 8512, 5847, 999, 8813, 10091, 9628, 199, 4113, 7943, 6650, 10122, 2645, 7827, 4027, 4043, 7491, 5495, 1470, 1946, 10003, 4035, 2406, 7366, 9759, 8115, 5711, 7860, 3287, 2574, 5004, 2772, 5359, 2278, 864, 8051, 7825, 474, 119, 9393, 855, 6617, 7885, 232, 7447, 7736, 4526, 2139, 6976, 5207, 5437, 4625, 3342, 4356, 9637, 7453, 1673, 2191, 5886, 8590, 8067, 5378, 7695, 10063, 8560, 8651, 9815, 4961, 7477, 4776, 796, 7946, 2453, 8109, 1292, 2303, 9305, 806, 7090, 2801, 8658, 4598, 6019, 3091, 3148, 9633, 7448, 9110, 4908, 7353, 2912, 9943, 2639, 5228, 8289, 4075, 7816, 7813, 5972, 3363, 6121, 3912, 7215, 7317, 5086, 7948, 1513, 4890, 5203, 4207, 1369, 5806, 3825, 903, 4003, 3076, 4416, 9878, 8553, 4010, 5722, 6339, 4493, 2014, 7364, 8883, 5950, 5778, 3982, 1716, 5049, 10236, 6395, 1344, 6270, 8515, 2413, 4605, 1190, 5615, 2733, 9487, 2324, 5537, 10217, 3226, 902, 4190, 5405, 833, 9021, 1105, 10432, 9848, 5651, 7154, 8198, 6578, 2334, 1928, 8097, 1525, 3006, 613, 9899, 9371, 1106, 2356, 1440, 2525, 7841, 9743, 8725, 8386, 180, 8045, 5484, 3441, 8997, 3619, 3674, 3341, 2430, 929, 3956, 5364, 4831, 2826, 8828, 9375, 3337, 10376, 7023, 5922, 9777, 5440, 3180, 5987, 1455, 608, 2157, 5155, 6665, 9434, 1774, 2467, 1984, 1133, 4388, 5236, 5171, 116, 1893, 1492, 10012, 5604, 8426, 9887, 10313, 8229, 5978, 7323, 3943, 2906, 128, 9272, 4681, 3696, 1355, 9040, 4306, 10466, 4124, 1469, 8116, 7231, 7382, 7597, 8005, 3754, 10333, 9140, 1141, 678, 9512, 3052, 7715, 1408, 9422, 7775, 9591, 5223, 9081, 7058, 4904, 1773, 6131, 3891, 9148, 1452, 761, 9739, 7821, 4138, 9157, 6157, 6609, 5556, 4238, 303, 9900, 3526, 9088, 6978, 5343, 7019, 886, 7473, 184, 6622, 6806, 9135, 1620, 8353, 7581, 8837, 610, 7017, 2836, 8325, 6735, 7873, 1858, 9905, 4182, 1807, 7828, 9332, 4212, 8226, 6966, 7531, 4660, 4870, 5881, 3999, 4284, 1037, 4971, 2817, 3131, 5041, 2884, 9215, 3449, 294, 1843, 5644, 8400, 7631, 4824, 2854, 9471, 2816, 104, 9276, 8284, 5329, 9855, 2357, 3499, 6252, 9134, 6245, 599, 578, 7933, 1108, 1416, 4950, 6532, 10085, 1877, 1228, 874, 9429, 2452, 10474, 7543, 3885, 10430, 4534, 4738, 9752, 2620, 6623, 7684, 6045, 9970, 8467, 1039, 49, 7294, 5963, 1357, 10317, 3801, 3263, 3082, 5811, 2122, 5592, 10030, 3447, 6233, 1475, 6041, 4387, 5884, 3856, 4038, 611, 10175, 3579, 5744, 6770, 2134, 6401, 2080, 1745, 6471, 4302, 6597, 6626, 4912, 10500, 6228, 5868, 6895, 1417, 1762, 2856, 2968, 1487, 2903, 469, 5527, 5434, 5906, 2877, 5258, 5454, 7637, 10366, 8437, 1099, 9342, 3670, 3339, 6601, 9314, 80, 1278, 5499, 2355, 8761, 690, 8767, 3043, 4244, 2820, 6344, 6400, 7934, 9670, 826, 5485, 9944, 1701, 3744, 5511, 7059, 7133, 1993, 7227, 3644, 4866, 181, 531, 5960, 7506, 6781, 292, 2421, 2144, 5093, 3688, 5746, 1721, 10357, 1920, 9693, 2063, 10210, 9837, 7646, 436, 8640, 3484, 6243, 4514, 2524, 4006, 1114, 240, 4830, 8267, 3798, 4843, 9365, 2089, 3329, 8613, 842, 8960, 2731, 8594, 1705, 7027, 2507, 3011, 4421, 2706, 968, 2447, 4304, 6982, 9733, 6275, 10176, 5795, 1697, 2610, 6396, 8526, 10287, 5458, 9763, 5698, 2929, 439, 8107, 2033, 4699, 10363, 9622, 8177, 4157, 8732, 9817, 8411, 3583, 2597, 6726, 8452, 9618, 1006, 10310, 3471, 631, 4397, 9664, 6848, 8021, 2299, 5617, 6188, 1443, 5463, 695, 7102, 4859, 7282, 9945, 1230, 554, 3862, 10180, 3158, 1400, 5332, 9786, 4265, 415, 1260, 2329, 8276, 6072, 4372, 8745, 1252, 73, 4970, 1379, 426, 5883, 10249, 1623, 2211, 9056, 5226, 3693, 10276, 10397, 6924, 7766, 9692, 10347, 6265, 2569, 9057, 1768, 9370, 9238, 620, 3356, 6923, 3268, 1927, 312, 2896, 5874, 8563, 10072, 3210, 6792, 2518, 10170, 1962, 2537, 3733, 5949, 465, 9611, 1810, 9571, 457, 5057, 896, 870, 8413, 3907, 3199, 6769, 4453, 1714, 7997, 4751, 6285, 9359, 8262, 857, 2401, 6361, 7913, 3465, 5658, 2394, 3165, 7984, 7419, 8849, 755, 2879, 3795, 2622, 5629, 7953, 3355, 9355, 8144, 9023, 10037, 195, 5423, 2375, 4248, 8058, 10295, 9251, 9009, 10356, 2427, 1154, 9567, 2012, 10120, 7257, 8231, 1419, 5750, 3443, 3490, 8626, 906, 4593, 3142, 963, 5270, 830, 7286, 9696, 6317, 7958, 4744, 4125, 361, 6383, 2483, 4554, 10078, 5476, 10263, 1514, 7270, 10408, 2328, 2722, 5720, 5848, 4240, 7509, 2874, 272, 8192, 7878, 9983, 3969, 8462, 708, 9439, 6407, 3360, 2253, 2108, 3113, 5572, 8263, 1317, 3446, 9086, 8315, 6646, 9292, 5775, 3257, 7244, 8978, 7302, 2351, 5209, 4876, 273, 1189, 4922, 3218, 1432, 2061, 3915, 8471, 1663, 7622, 9710, 8075, 6576, 1371, 2894, 4028, 98, 7444, 1477, 87, 4390, 4185, 6162, 2468, 1712, 3451, 8153, 8078, 1678, 7359, 971, 6760, 8785, 3125, 2587, 470, 4829, 5370, 7857, 7905, 1722, 1132, 337, 9479, 7848, 6856, 10194, 9822, 5560, 10090, 8336, 7091, 8046, 7487, 8573, 1964, 2365, 912, 6494, 8270, 5289, 5983, 6787, 2234, 376, 5951, 9324, 2085, 7309, 635, 10488, 8397, 8779, 2466, 9614, 3203, 8220, 3056, 6712, 3393, 3063, 4721, 1730, 1367, 8243, 9536, 4977, 6994, 5659, 8621, 4144, 3182, 6573, 10031, 2992, 2833, 3278, 6542, 10457, 2124, 10467, 9258, 3311, 5358, 3001, 2284, 6414, 8583, 5506, 4092, 8601, 9051, 1169, 4973, 1898, 9562, 9427, 8513, 8693, 5611, 5779, 2150, 1079, 5, 1577, 5244, 4851, 8139, 4342, 769, 8398, 4215, 752, 5119, 7739, 6351, 9345, 851, 6440, 7074, 993, 1179, 2006, 4106, 4334, 3826, 1142, 7269, 2788, 7989, 6179, 4856, 8929, 7895, 1476, 2287, 9431, 5870, 6249, 5164, 9252, 9994, 5991, 7454, 6075, 7747, 7146, 2009, 8534, 8087, 7179, 1974, 10507, 3845, 9390, 9560, 2189, 2529, 5665, 564, 7300, 3861, 3749, 4184, 3306, 5679, 3596, 7552, 10107, 117, 6035, 421, 10262, 10087, 2471, 3654, 548, 7276, 10348, 9102, 3262, 8895, 9366, 8093, 4826, 3558, 8843, 654, 10306, 5071, 5937, 5138, 852, 6031, 899, 4617, 4322, 9162, 7940, 6571, 587, 3570, 515, 858, 7728, 1834, 5967, 3817, 6663, 1693, 832, 4786, 4549, 10422, 7352, 4152, 7520, 1524, 10147, 1563, 5178, 146, 9929, 9716, 6226, 313, 4057, 8647, 1812, 9884, 1626, 10301, 2136, 9605, 9787, 3029, 3867, 7012, 4226, 6800, 6445, 5630, 590, 3947, 6579, 1274, 7678, 1866, 7762, 9736, 9438, 1237, 9760, 5891, 6212, 6457, 1675, 7988, 3481, 6779, 6929, 6566, 1113, 6398, 3720, 734, 1341, 2249, 10468, 780, 3680, 3900, 7170, 5585, 615, 1517, 7606, 7666, 563, 6135, 7314, 5353, 4482, 7691, 3020, 4180, 7906, 9836, 1435, 6933, 8314, 9872, 238, 5139, 8001, 249, 4882, 6826, 8098, 8010, 1552, 1140, 3401, 2585, 2959, 9609, 7361, 4252, 7472, 10021, 7752, 8018, 5191, 10241, 10045, 9341, 10054, 1874, 6009, 5755, 6941, 7901, 7467, 1093, 9199, 2700, 7765, 9169, 3304, 7063, 5193, 6343, 8485, 5989, 4487, 7608, 516, 7406, 9916, 2989, 6213, 2805, 3359, 9950, 9599, 1827, 1304, 6193, 3290, 2310, 10364, 5115, 2208, 4313, 3387, 2932, 1660, 4312, 1911, 9663, 6485, 3032, 6479, 2054, 3575, 1536, 6541, 751, 6056, 4860, 150, 2424, 9920, 8826, 6292, 1831, 22, 4957, 9691, 5028, 27, 4424, 790, 6219, 3995, 7917, 7432, 5995, 8069, 1672, 8283, 6516, 6801, 5479, 261, 1270, 7634, 5982, 5919, 10340, 9420, 3760, 9756, 1906, 2880, 7194, 1384, 7996, 2485, 7268, 7125, 8562, 1247, 7558, 9472, 3931, 5688, 8942, 8900, 6295, 8465, 6499, 3523, 5834, 10523, 6192, 6353, 74, 1647, 6460, 1794, 3657, 8622, 552, 10438, 75, 1489, 2813, 4629, 1151, 3346, 4708, 10392, 1601, 4716, 4500, 4357, 9207, 10455, 7043, 9323, 9214, 4804, 3050, 5546, 8456, 3094, 8790, 4741, 8042, 9636, 7683, 8126, 815, 8145, 8017, 6844, 6392, 1464, 6382, 860, 1138, 7274, 7456, 5710, 3873, 8375, 3833, 7665, 8354, 7944, 5878, 3138, 163, 9491, 5534, 5605, 8620, 9013, 7386, 8492, 1208, 4136, 6780, 6458, 1123, 567, 3391, 7764, 3200, 9785, 9197, 3846, 129, 8737, 4245, 4684, 933, 9925, 4878, 2236, 3069, 5077, 4168, 696, 1633, 2192, 2463, 1916, 8214, 6080, 1484, 1291, 5152, 3723, 1529, 9202, 6095, 2871, 4269, 3660, 7324, 4131, 697, 2653, 5580, 1971, 2392, 9651, 4608, 904, 412, 746, 4267, 2216, 6831, 1744, 4095, 3256, 1602, 9077, 5640, 8039, 6164, 10308, 3402, 4061, 4263, 2716, 1704, 9731, 6178, 7158, 3984, 7717, 7252, 4930, 6447, 7369, 2408, 1605, 1119, 10077, 9762, 8032, 7343, 8694, 1900, 6985, 5010, 6064, 7701, 9559, 5788, 4046, 4679, 3254, 840, 6411, 729, 8034, 526, 57, 7851, 5220, 2681, 4613, 3033, 7243, 5707, 934, 7131, 186, 9695, 2893, 1358, 7563, 9821, 1666, 8885, 5250, 6049, 10169, 7557, 5761, 7702, 4022, 2151, 7972, 5308, 4417, 1044, 9301, 3827, 2242, 3166, 2140, 5531, 8011, 357, 6255, 332, 2709, 10027, 4794, 9607, 4072, 1902, 4610, 2519, 3038, 2432, 8292, 7677, 10011, 3228, 1994, 4525, 4603, 112, 5388, 9284, 5907, 3240, 3477, 9109, 6540, 4803, 9708, 5409, 5252, 8516, 10531, 2488, 248, 3129, 2876, 6279, 9987, 6533, 939, 1071, 9149, 10404, 7713, 2428, 6594, 5277, 8668, 659, 1640, 4085, 7011, 5181, 6935, 9274, 10515, 5926, 9117, 1015, 1319, 5696, 7335, 7867, 8357, 9262, 719, 9075, 6229, 7220, 10487, 9249, 924, 10277, 5453, 6005, 2887, 284, 2927, 6043, 7214, 5553, 7411, 2327, 9799, 10235, 3266, 9942, 1574, 2138, 9587, 7577, 9830, 7176, 1736, 1159, 6853, 4564, 1364, 1950, 70, 9677, 9080, 1852, 7399, 3731, 8572, 3170, 4811, 9687, 5905, 4662, 6410, 9344, 281, 7620, 3505, 5030, 9059, 4600, 7600, 10303, 10200, 2978, 10325, 8637, 3101, 4974, 3602, 1090, 7079, 930, 7689, 7573, 141, 6241, 6653, 7915, 3615, 6746, 6371, 3013, 9702, 10225, 10526, 2508, 7111, 4828, 544, 2083, 7540, 5317, 1290, 3012, 8363, 8281, 4502, 6207, 922, 626, 3426, 9226, 4346, 479, 6195, 6854, 3417, 6742, 10525, 3196, 6022, 1197, 3419, 7463, 1431, 8587, 6374, 7883, 5162, 1607, 6311, 40, 370, 9690, 7706, 8935, 8801, 8156, 8555, 6402, 5774, 6757, 1361, 8390, 1883, 10361, 7420, 1164, 8864, 5997, 2644, 7164, 5976, 2955, 9681, 9410, 1829, 5148, 662, 251, 3800, 7792, 388, 4559, 7431, 2526, 2492, 1359, 4516, 4929, 8174, 8077, 4452, 1654, 8266, 6364, 8944, 7676, 644, 6040, 221, 3044, 4223, 10256, 5106, 8191, 446, 28, 1578, 714, 2683, 1861, 2753, 6654, 3124, 1305, 7579, 8670, 8310, 3174, 6086, 3321, 6543, 2084, 1020, 1667, 9364, 8727, 5931, 7871, 3204, 1429, 3030, 8971, 6051, 1236, 5822, 5234, 897, 8535, 2679, 10145, 5013, 7153, 4031, 2405, 257, 10409, 508, 8967, 1997, 6721, 1664, 6377, 2859, 9603, 1871, 4661, 5149, 1746, 7145, 5483, 637, 9302, 1289, 6562, 1691, 8134, 2433, 9119, 3922, 5769, 5105, 5783, 4126, 2714, 8376, 3308, 8788, 4801, 5540, 3948, 7881, 5823, 1985, 1951, 9801, 9463, 5943, 10393, 3047, 5718, 6964, 7844, 5036, 9048, 5908, 5664, 5570, 2125, 603, 9861, 8029, 1772, 6834, 523, 5962, 5508, 325, 9248, 9253, 9017, 4235, 2869, 2630, 7329, 2019, 8299, 7834, 1096, 2837, 3035, 4711, 1050, 2016, 7999, 4972, 3381, 4099, 3529, 192, 9185, 2684, 10425, 5297, 2441, 1219, 2589, 4177, 2581, 2300, 4459, 216, 689, 7394, 8141, 9675, 7056, 6756, 614, 7400, 5748, 10135, 8168, 561, 9529, 3112, 9282, 3435, 5062, 7132, 5833, 2022, 8016, 8015, 6507, 8545, 4122, 776, 3474, 8118, 2187, 2752, 8470, 7221, 2548, 6360, 5238, 3497, 6032, 2360, 4060, 8507, 10441, 8108, 1832, 3120, 7835, 6375, 3071, 6511, 1068, 2867, 10207, 9654, 5200, 681, 5384, 8635, 8435, 2292, 7833, 7829, 7424, 9515, 6280, 7150, 3584, 5059, 3169, 5573, 331, 3436, 10504, 1733, 8331, 6706, 4403, 6503, 1546, 4351, 10006, 2489, 5471, 2762, 5917, 5538, 178, 9002, 5491, 8140, 7207, 3701, 6303, 3751, 2624, 7291, 2734, 8048, 4524, 1910, 5117, 9244, 3354, 4318, 2615, 942, 804, 5913, 7777, 2758, 7733, 9118, 5027, 4664, 5530, 5792, 2628, 952, 7849, 990, 2475, 6264, 9034, 6269, 9960, 2963, 5422, 9935, 10424, 5143, 7880, 9377, 8082, 4672, 3647, 6023, 8180, 8702, 8033, 6956, 1983, 10188, 3126, 191, 1759, 1146, 4594, 6785, 10509, 6662, 9525, 8664, 5916, 7503, 8586, 938, 9155, 6422, 4018, 2393, 6631, 3468, 8892, 39, 3127, 4115, 4845, 7954, 9501, 2982, 374, 6652, 4208, 595, 9425, 6465, 8846, 2011, 7393, 5591, 2411, 4471, 8455, 7856, 1624, 5398, 6115, 4489, 5957, 1066, 1665, 1183, 2221, 10143, 9035, 8044, 54, 4444, 9279, 3783, 10273, 3039, 7305, 6096, 1064, 2514, 1836, 5575, 9480, 10020, 9350, 949, 8334, 6600, 2828, 9744, 1414, 10335, 3070, 159, 10025, 4616, 3179, 7442, 8765, 4462, 1505, 4437, 2687, 6225, 1053, 10252, 6389, 9913, 1857, 9015, 3768, 2449, 9167, 3910, 9062, 4539, 4371, 8778, 7560, 9805, 892, 944, 5387, 1499, 2517, 5312, 9397, 2290, 1422, 1632, 591, 9242, 6917, 2987, 8848, 7471, 8451, 3036, 3269, 6223, 3107, 6809, 8646, 5945, 1162, 3685, 5599, 9105, 9373, 1793, 2071, 6078, 7414, 169, 1527, 6182, 5292, 79, 9171, 8340, 7541, 5925, 9151, 350, 9873, 671, 8692, 1840, 2810, 3812, 1370, 1067, 1637, 609, 8706, 414, 8417, 101, 4997, 3136, 7201, 9381, 4294, 2860, 8703, 9648, 2034, 9178, 773, 4218, 1293, 110, 2156, 1308, 6815, 1568, 10166, 4879, 8433, 3959, 7384, 9793, 8219, 3385, 5190, 8874, 4855, 9111, 3928, 9069, 5691, 5623, 1004, 7966, 10259, 7041, 2204, 8742, 5291, 8407, 1497, 803, 2407, 1564, 4119, 8758, 7099, 10260, 4659, 9619, 2818, 4394, 3747, 297, 155, 6104, 3937, 5666, 7385, 335, 4663, 8187, 8057, 6587, 3224, 7679, 7081, 7575, 3067, 3503, 8370, 4635, 7405, 4733, 6253, 6885, 4315, 3188, 3506, 2771, 9016, 8152, 2129, 739, 7723, 5619, 9890, 1870, 6580, 9577, 5532, 6127, 7794, 4389, 10119, 9615, 4114, 1957, 4817, 9564, 4849, 9264, 6932, 10360, 7475, 3557, 6378, 5065, 4799, 7602, 2255, 5737, 4993, 3168, 4333, 2025, 3467, 9447, 5310, 3527, 2803, 6731, 4270, 6790, 6538, 7273, 6647, 7890, 3683, 7918, 1314, 7696, 5652, 10017, 9823, 9826, 3742, 2337, 1498, 9335, 5163, 5436, 8739, 8206, 9319, 3699, 2306, 4969, 1723, 5309, 5697, 7721, 4954, 8083, 3908, 6397, 2971, 3173, 4701, 4379, 8898, 7561, 3371, 3540, 5111, 7148, 96, 2852, 8873, 9256, 4649, 10080, 440, 1504, 946, 3759, 5516, 2321, 1335, 8377, 106, 3220, 3428, 7505, 4358, 3897, 3378, 10415, 9895, 9931, 3059, 6125, 7345, 5331, 3545, 10101, 8047, 6585, 2075, 4440, 9010, 7233, 5930, 6715, 10493, 814, 685, 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946, 7128, 4295, 9109, 8934, 9038, 8265, 6978, 10471, 3714, 3399, 9153, 5033, 9677, 6805, 7194, 4999, 5766, 9850, 5580, 64, 9335, 10309, 6063, 3684, 1739, 6052, 4158, 6477, 6782, 9994, 1017, 9934, 3837, 8586, 7833, 6637, 5810, 2128, 4205, 5593, 9719, 1688, 4081, 10105, 6435, 5246, 3033, 8207, 4989, 9676, 7296, 8978, 5974, 409, 4021, 5761, 24, 4203, 902, 3307, 1568, 8743, 8254, 6129, 7861, 5270, 9977, 6852, 5234, 2273, 3065, 1106, 8916, 796, 3276, 6453, 9898, 5977, 9870, 4638, 8474, 3627, 8017, 8865, 6533, 178, 3850, 5774, 211, 8120, 7832, 4627, 2828, 2151, 9861, 7101, 6819, 8323, 3447, 3418, 2394, 5801, 7732, 1642, 6112, 6620, 7524, 2419, 8836, 288, 9435, 1513, 1612, 2639, 10154, 4282, 6210, 1298, 4404, 223, 919, 2286, 8785, 6361, 4904, 8996, 1481, 5074, 5512, 2778, 6205, 9539, 7342, 1539, 4018, 4568, 9311, 4738, 413, 1803, 159, 7116, 2430, 2544, 6521, 787, 4324, 1288, 5255, 4362, 4007, 1119, 3764, 3370, 7313, 7240, 8343, 9143, 1888, 6795, 891, 9501, 8692, 1594, 4504, 3647, 884, 6810, 8080, 1263, 1394, 10431, 3105, 6697, 6820, 10404, 4608, 1154, 5958, 8884, 8305, 3247, 2507, 1075, 7772, 4233, 5928, 90, 9631, 9573, 7759, 7395, 5257, 5624, 7073, 496, 4592, 5872, 8657, 6207, 9358, 5423, 2653, 4758, 7251, 6490, 1620, 5990, 7981, 7439, 1278, 3384, 9162, 8641, 9112, 6212, 8368, 1037, 8409, 7576, 10159, 8262, 10143, 1808, 9338, 1210, 765, 9014, 4486, 5652, 2325, 10180, 7919, 7462, 719, 6914, 894, 4679, 5, 1611, 2733, 606, 1692, 10216, 3493, 3006, 3836, 1798, 8826, 5474, 6497, 780, 1323, 2901, 5951, 2743, 7669, 2623, 603, 5306, 7006, 5331, 8184, 2800, 899, 7058, 835, 7077, 3842, 8218, 9325, 6273, 5113, 9732, 7121, 8152, 7979, 5304, 3246, 3876, 5989, 5772, 9996, 7868, 275, 1044, 2842, 595, 3342, 8548, 3631, 6750, 4483, 6887, 6179, 9500, 5414, 8891, 4149, 6989, 3756, 6615, 9437, 4969, 6143, 10292, 2816, 4684, 9508, 6466, 6546, 7420, 10099, 4883, 903, 3251, 6742, 6068, 429, 6749, 5461, 2877, 8953, 7408, 857, 2788, 163, 5036, 8350, 1301, 5457, 4023, 5121, 648, 3962, 7962, 8603, 2210, 9400, 2231, 2820, 7407, 6459, 589, 616, 373, 4753, 1466, 8765, 6281, 3913, 6448, 9526, 1988, 1133, 232, 4509, 9220, 3057, 9791, 8735, 5632, 3066, 3636, 5521, 7503, 9641, 8031, 3491, 5918, 1253, 6079, 10421, 3595, 3458, 4759, 8610, 7339, 8947, 9705, 9226, 5197, 7905, 2263, 5419, 4280, 5381, 5582, 9370, 8221, 6902, 5311, 6271, 4939, 4898, 3361, 8710, 268, 6350, 10110, 3704, 9207, 668, 528, 8115, 10351, 4780, 4804, 673, 3285, 5028, 10107, 8226, 10354, 5756, 9247, 5763, 9805, 120, 5380, 4499, 2543, 4664, 1274, 5719, 204, 9103, 7075, 1361, 10241, 8880, 3397, 10098, 6712, 6144, 9036, 9118, 8023, 3191, 9751, 9396, 5349, 6846, 5777, 7890, 3481, 189, 6356, 8059, 6197, 6708, 263, 2199, 8153, 5514, 7464, 9872, 8043, 3658, 7351, 7047, 8452, 2342, 126, 7883, 8071, 2516, 3834, 744, 6301, 3673, 2352, 1614, 7452, 1165, 1600, 8286, 7779, 1316, 5929, 7485, 1495, 4125, 531, 1749, 1638, 245, 2519, 4727, 8393, 1, 5517, 2726, 2399, 9802, 9362, 382, 6091, 2545, 9281, 75, 2340, 5057, 5551, 10200, 1059, 4584, 10266, 9515, 6306, 6396, 7426, 983, 6554, 1046, 802, 6424, 15, 195, 736, 5206, 2548, 3395, 8009, 4556, 3382, 357, 7467, 9278, 8987, 1414, 6664, 3167, 3923, 10267, 3255, 6033, 8893, 9390, 7416, 5606, 1021, 6258, 8753, 838, 1829, 3325, 761, 9032, 9546, 2415, 5029, 6427, 2450, 1938, 4593, 8633, 9855, 5243, 5129, 7581, 3615, 2927, 5850, 1676, 2225, 8770, 6837, 5995, 8056, 8518, 5053, 556, 4886, 2239, 7664, 6451, 6999, 8446, 1981, 4692, 608, 2887, 9441, 1883, 5148, 7941, 2751, 1339, 1170, 385, 29, 4566, 8030, 10012, 871, 8527, 8600, 5562, 9119, 4070, 1917, 6647, 9519, 8290, 5680, 10341, 7104, 9868, 9463, 291, 8402, 9584, 6402, 9598, 6404, 1376, 867, 2615, 2390, 5975, 4720, 4887, 2799, 3369, 8873, 5216, 9846, 1653, 10533, 1434, 8517, 2533, 7691, 8895, 1195, 4210, 7150, 10360, 1721, 2081, 3190, 3157, 7582, 3068, 7525, 6601, 3925, 6072, 698, 9465, 144, 9817, 9155, 317, 3872, 1199, 9865, 3017, 10393, 3600, 2677, 8808, 2613, 6142, 9488, 8074, 8554, 10405, 2444, 6253, 6879, 4946, 4779, 8243, 3911, 5988, 7472, 5908, 962, 5415, 2369, 2731, 8903, 9889, 6598, 2349, 2518, 9667, 4075, 10067, 7997, 8757, 10355, 1828, 8303, 2023, 6520, 1833, 5800, 4661, 7676, 2328, 9992, 7482, 10448, 9782, 9040, 6370, 2466, 3055, 6858, 1619, 9304, 9127, 10295, 34, 5643, 3454, 3908, 1813, 6086, 8777, 657, 25, 8758, 9506, 9777, 552, 8476, 3853, 5970, 816, 6048, 6225, 9554, 9170, 9100, 2680, 5374, 4095, 7459, 8839, 1153, 8677, 5322, 6334, 5099, 1733, 10485, 2494, 4060, 2892, 3608, 4843, 2345, 1284, 4756, 4909, 127, 10174, 840, 10231, 1302, 6596, 1066, 3634, 4941, 764, 3863, 5799, 71, 6005, 8061, 197, 5535, 7999, 2765, 7456, 5071, 2207, 8642, 10412, 9330, 1001, 5086, 9533, 3428, 7422, 6845, 4718, 6028, 8165, 3303, 7018, 3324, 2371, 6947, 5718, 6534, 547, 8988, 2747, 4073, 9687, 3464, 6693, 5465, 4921, 725, 9906, 3898, 5655, 1801, 4564, 9241, 4716, 3080, 9496, 3475, 3040, 3777, 5063, 4258, 6100, 7960, 4522, 7872, 3646, 4116, 5613, 2011, 3037, 2541, 9599, 3126, 2360, 1763, 2120, 9577, 8395, 2099, 7282, 2467, 4402, 4364, 4180, 4704, 5228, 6136, 6394, 5904, 2902, 10077, 3217, 7384, 9004, 1791, 6013, 8595, 3733, 6863, 653, 1812, 9308, 4520, 6884, 10135, 9756, 2853, 10395, 2899, 10056, 2768, 5961, 1113, 1432, 8618, 3013, 8319, 5656, 361, 1931, 6558, 7261, 10217, 363, 5531, 1751, 6009, 6656, 4632, 5622, 5760, 10055, 8755, 8549, 6584, 1482, 3827, 6025, 1089, 3752, 6032, 9708, 7685, 1587, 5355, 9407, 2924, 103, 8851, 8669, 474, 65, 10005, 4465, 5892, 9489, 4719, 3333, 7932, 1034, 4428, 494, 7842, 6140, 8654, 6382, 4992, 1887, 3182, 2138, 9558, 5406, 5097, 5574, 3166, 2097, 7346, 8185, 5173, 1272, 7579, 5522, 7199, 4189, 4749, 9009, 2208, 5318, 7243, 7975, 7026, 777, 6680, 10068, 9571, 8267, 5069, 7106, 566, 4631, 4801, 1859, 2854, 2422, 2408, 7586, 7611, 2150, 9239, 10118, 2333, 17, 6599, 8487, 8054, 249, 2531, 3125, 3140, 9487, 8310, 9637, 2626, 8882, 7182, 4252, 2678, 3254, 497, 4629, 2402, 5513, 2704, 3881, 1478, 7145, 4255, 928, 7644, 553, 2959, 3574, 9222, 8183, 5900, 5466, 2040, 7059, 7321, 8682, 8675, 9695, 9789, 1393, 6251, 5741, 1993, 6964, 8424, 194, 2497, 7374, 6026, 6872, 5296, 8799, 8092, 7364, 3998, 7266, 4230, 7320, 3602, 1893, 4168, 4655, 8018, 5572, 712, 882, 5611, 9149, 4017, 7299, 8346, 4519, 9720, 1227, 2540, 4065, 7152, 7817, 564, 967, 1088, 1176, 3979, 2376, 1416, 10409, 3420, 3359, 6430, 7228, 10339, 2683, 290, 8447, 8886, 3744, 3221, 9177, 2490, 1514, 8919, 6021, 4532, 8134, 1713, 2036, 4028, 2736, 1467, 627, 682, 2760, 9475, 5508, 3063, 10452, 6375, 5933, 3049, 7376, 2100, 9257, 10080, 8469, 6429, 4020, 10465, 5631, 7129, 7030, 10301, 8075, 6704, 527, 5945, 6465, 3656, 9828, 9747, 1480, 6067, 9042, 2942, 8815, 6115, 8307, 9565, 7743, 7603, 10483, 5019, 10167, 7375, 10460, 2998, 10046, 5170, 7242, 6278, 6182, 7334, 1605, 2687, 4220, 1097, 2479, 9664, 2020, 6727, 4963, 10195, 1597, 2946, 4743, 10160, 8047, 4269, 10248, 6476, 558, 8271, 16, 4671, 1100, 4539, 7553, 5215, 4005, 2016, 9086, 9564, 966, 1417, 7700, 2611, 5911, 5858, 5131, 1585, 4134, 5953, 6523, 6859, 710, 3346, 7935, 9988, 9456, 9021, 908, 7646, 10330, 8491, 2261, 3849, 0, 4405, 5863, 4768, 2888, 338, 76, 5720, 3062, 6775, 6270, 8910, 1786, 2140, 10064, 5936, 5471, 2042, 779, 868, 4540, 7516, 2918, 1985, 2185, 7987, 3284, 4261, 9284, 6478, 7990, 2833, 9969, 2996, 5477, 9625, 6662, 3523, 108, 6413, 3609, 3187, 5677, 4002, 9398, 6736, 8069, 4634, 10244, 5250, 3416, 8398, 8911, 916, 1175, 1270, 9361, 6988, 3419, 5435, 9904, 8511, 8007, 7513, 1360, 318, 10243, 5548, 8027, 1322, 1243, 5101, 3703, 672, 4410, 9800, 1381, 3949, 62, 4308, 2633, 2652, 4246, 5459, 8432, 7155, 4789, 1914, 4572, 4937, 5565, 1854, 1490, 2255, 2612, 8540, 9430, 992, 1182, 4838, 2086, 3323, 411, 4551, 3817, 5430, 575, 5159, 7162, 526, 4078, 3556, 10442, 3718, 1889, 7135, 6938, 9910, 2392, 8671, 8055, 4652, 4167, 8279, 4599, 131, 709, 9285, 8946, 2917, 5962, 1009, 5895, 4657, 1390, 10491, 6870, 8063, 5368, 7707, 9110, 9566, 5429, 7822, 10183, 9945, 9653, 9029, 1575, 7290, 4462, 621, 5538, 5663, 1054, 6456, 9797, 5231, 8661, 3059, 3805, 2635, 628, 7536, 306, 6715, 1250, 9015, 4006, 2732, 4431, 6064, 6234, 770, 4032, 5361, 656, 8537, 938, 4394, 9512, 10384, 869, 6457, 1402, 3958, 7756, 4339, 2526, 8225, 5336, 4468, 478, 10149, 9101, 7386, 9485, 5921, 7200, 1660, 10104, 9776, 9989, 3869, 4508, 4531, 1526, 8486, 4633, 83, 4209, 5934, 9279, 8817, 2070, 6040, 1732, 8102, 3155, 4647, 10038, 1975, 2105, 5985, 1193, 4690, 1885, 9228, 5550, 8625, 1062, 10004, 580, 4249, 1637, 3902, 4441, 9159, 1076, 5937, 1962, 10260, 4837, 5491, 7054, 5693, 592, 277, 4987, 9534, 3578, 5295, 2312, 1932, 9099, 9486, 5488, 8834, 7920, 10531, 5119, 8277, 3532, 8563, 217, 2585, 10235, 803, 6630, 7097, 7040, 9319, 3678, 4528, 9748, 2582, 2367, 8697, 1306, 7721, 6446, 2965, 7441, 8057, 9542, 5432, 5672, 591, 7846, 7275, 826, 7431, 585, 4027, 8230, 8342, 8599, 8324, 1983, 6061, 7971, 7720, 3111, 9293, 43, 5524, 2754, 1299, 2567, 5776, 1797, 8573, 8559, 9474, 5282, 477, 3630, 4291, 3909, 4055, 5780, 3742, 9161, 2914, 3713, 2483, 3641, 5600, 5909, 864, 7641, 9784, 536, 10416, 2576, 9852, 3844, 6695, 2565, 3867, 3951, 7565, 880, 3469, 2608, 10000, 1625, 5981, 833, 6434, 10441, 7085, 4755, 4842, 6913, 7558, 5124, 8396, 1186, 7584, 2115, 6220, 4641, 8775, 6199, 2163, 1603, 4952, 9946, 8651, 4076, 7648, 10233, 1820, 2341, 5523, 5248, 8825, 8956, 9348, 9771, 5235, 156, 1848, 2599, 42, 321, 3537, 3200, 6328, 7580, 8830, 1342, 4825, 9482, 8942, 4854, 9739, 5351, 4958, 9848, 79, 1353, 2034, 771, 3074, 1880, 6888, 5744, 3202, 1262, 9902, 122, 9478, 3391, 1016, 6049, 4285, 763, 2955, 7500, 10428, 5467, 6362, 7593, 518, 8313, 10418, 6595, 4139, 3443, 10312, 4535, 1045, 2780, 6641, 464, 7862, 3758, 1936, 2107, 920, 2212, 6200, 9981, 10131, 8470, 3896, 1909, 8877, 4872, 7345, 666, 6172, 8380, 5853, 1111, 5999, 1579, 9033, 9537, 6515, 4357, 9818, 7151, 6851, 7095, 10369, 1129, 716, 1629, 7212, 80, 8333, 7157, 7552, 2157, 7904, 7573, 10391, 5681, 6000, 4913, 1385, 3476, 2997, 8955, 5016, 3659, 5591, 4931, 822, 6587, 10281, 438, 4927, 322, 5626, 8922, 5065, 5963, 10058, 1187, 10014, 5733, 466, 9085, 5893, 4421, 40, 10374, 4654, 5932, 2211, 4437, 8344, 4446, 4990, 1982, 9397, 3132, 5334, 7490, 7069, 6626, 2078, 1543, 3498, 4675, 6899, 567, 2197, 10035, 6228, 5082, 8020, 2748, 9544, 6343, 10499, 3610, 8259, 5717, 10496, 3241, 4430, 10140, 5127, 3244, 4307, 5081, 10432, 6383, 8077, 5396, 8526, 6295, 6882, 8036, 10083, 9659, 38, 5210, 7719, 8205, 7226, 508, 330, 1378, 5708, 2453, 1547, 5362, 5679, 2948, 2979, 6148, 9550, 6283, 1445, 7628, 3282, 7560, 1085, 3404, 8112, 7784, 8656, 8174, 5186, 433, 7787, 8360, 1035, 2913, 3959, 5905, 272, 896, 4074, 5534, 10082, 2660, 3987, 307, 6734, 200, 7268, 7527, 4546, 4577, 3148, 1772, 9814, 7918, 6985, 7093, 7143, 5749, 7491, 7423, 6921, 5976, 9480, 4735, 7809, 4621, 4127, 1273, 2152, 2570, 4839, 3525, 2700, 4321, 1873, 10371, 1425, 1836, 7856, 6244, 1144, 8885, 5540, 2895, 6714, 3329, 4118, 8979, 4035, 7543, 9979, 2841, 576, 8928, 9654, 1557, 5957, 4760, 9139, 747, 6646, 5018, 3293, 1548, 5020, 3291, 1072, 5876, 8693, 7541, 1502, 8300, 5845, 4847, 2144, 39, 1536, 8466, 115, 2418, 7276, 6363, 4677, 6843, 8647, 6508, 7989, 2906, 6541, 1327, 502, 7879, 8985, 9955, 5093, 3201, 5111, 3551, 9401, 5838, 5174, 6161, 8284, 2113, 4439, 8674, 862, 7923, 4845, 4923, 9439, 5458, 10093, 1927, 1060, 2329, 7493, 169, 3808, 6503, 5394, 10373, 5602, 8853, 4865, 1990, 9535, 9922, 3497, 2884, 8453, 4111, 1657, 7117, 10141, 3313, 4900, 3121, 5203, 3592, 7708, 228, 1252, 1884, 6783, 9107, 10076, 3001, 9713, 8282, 240, 9545, 2721, 1531, 4570, 4495, 7499, 1451, 123, 7594, 8994, 4812, 3213, 1782, 8461, 8761, 2428, 2294, 1315, 7377, 5700, 4231, 8210, 3926, 8797, 8111, 2601, 6078, 6564, 8498, 6787, 10130, 8321, 8255, 1318, 10372, 7547, 6480, 9292, 3873, 8907, 5428, 5571, 9536, 3269, 9043, 3400, 6082, 6226, 7976, 4678, 9436, 1658, 3638, 6592, 8708, 6087, 1293, 9592, 5812, 9686, 2024, 6294, 5424, 3081, 5587, 8216, 9495, 3240, 8558, 7897, 6972, 8144, 548, 7577, 4858, 1052, 2161, 1489, 1296, 6345, 4298, 7315, 133, 9076, 3918, 4155, 9384, 8525, 8500, 10091, 2566, 10350, 8132, 8322, 7929, 1955, 7241, 1043, 10030, 9060, 4802, 3005, 6821, 3768, 9375, 8975, 4393, 9061, 1475, 2542, 2562, 2108, 6374, 4426, 2663, 10062, 6619, 2697, 9075, 5823, 9417, 6051, 9498, 5425, 9367, 3655, 688, 4265, 1491, 118, 10525, 5289, 9254, 2316, 6910, 5254, 4928, 3663, 6744, 9242, 6935, 2276, 4525, 5439, 2262, 7081, 6364, 6755, 4332, 88, 4319, 3662, 10117, 4966, 2060, 7347, 3803, 7869, 3214, 2222, 2963, 5014, 1211, 2178, 10461, 1406, 4961, 3245, 2442, 1367, 9834, 8187, 1255, 4488, 4366, 8405, 6614, 1905, 8349, 8906, 506, 5326, 436, 8136, 1083, 6683, 6007, 7601, 610, 3004, 1784, 4797, 2824, 1221, 10254, 8502, 1047, 5874, 2447, 1941, 6788, 151, 2763, 4640, 141, 8320, 10186, 1876, 2637, 9432, 6221, 216, 4207, 5877, 2642, 9005, 9087, 10219, 8406, 6987, 3508, 7688, 8763, 4857, 7247, 5271, 5340, 6202, 2131, 1091, 3831, 2803, 4823, 6425, 2850, 634, 5529, 2880, 6709, 5389, 5387, 6573, 6740, 10237, 3558, 8046, 8702, 5157, 6004, 587, 3938, 5398, 1752, 236, 4215, 3567, 10394, 3682, 8078, 3488, 1086, 9905, 1303, 4669, 7701, 8028, 7056, 6418, 10023, 10003, 5510, 2480, 6930, 8507, 1391, 696, 5274, 678, 2840, 5214, 3811, 10520, 4978, 2666, 1850, 9864, 110, 7878, 5669, 8637, 9944, 7964, 2052, 3143, 4699, 6574, 7972, 8962, 6792, 781, 2026, 6366, 1737, 4292, 4281, 1965, 119, 8268, 849, 314, 9730, 7390, 10530, 171, 2791, 3015, 6274, 4412, 9341, 7410, 10272, 6624, 517, 5140, 10415, 3916, 3577, 8937, 9211, 819, 1852, 8166, 2355, 1181, 5269, 2898, 9888, 4869, 4612, 5588, 9445, 6585, 6748, 7791, 347, 3474, 4924, 7310, 5104, 7453, 154, 1295, 451, 6074, 752, 854, 9282, 8159, 10291, 10094, 26, 7497, 1588, 4052, 9420, 3312, 6123, 5926, 7009, 6924, 1234, 4600, 1116, 8899, 4016, 8451, 5256, 7627, 9503, 1204, 2196, 8292, 4536, 8410, 7388, 9837, 9790, 1933, 957, 959, 961, 9528, 2915, 3383, 1403, 227, 9433, 2489, 5901, 8941, 5662, 10500, 1994, 8908, 9681, 6109, 1966, 5771, 2675, 5922, 2252, 9017, 5062, 8784, 6012, 3007, 7571, 10310, 9203, 6567, 8981, 7694, 8939, 4538, 2985, 1065, 8967, 5585, 7468, 8878, 6860, 10297, 5575, 9753, 7900, 7660, 6631, 8179, 8294, 8741, 6838, 8341, 4919, 7035, 6547, 3635, 8038, 4874, 94, 2386, 9365, 9576, 8722, 4317, 8727, 6400, 532, 8106, 4912, 10268, 3194, 2621, 7309, 6135, 4725, 5098, 2839, 8089, 10453, 7557, 6799, 6730, 6527, 3242, 887, 8156, 3376, 5555, 2475, 10282, 155, 9037, 4907, 6941, 2581, 7380, 1635, 6338, 10232, 6761, 2905, 1477, 5037, 5520, 6689, 4283, 7326, 1970, 1750, 10316, 8992, 3106, 33, 4108, 2879, 6406, 6240, 6102, 3500, 10296, 10066, 7712, 8425, 4347, 9549, 811, 5388, 6325, 5621, 5830, 2075, 9689, 21, 9268, 1469, 8716, 4997, 1018, 9899, 4850, 1872, 3153, 4722, 2857, 4589, 6544, 6553, 9807, 3233, 8437, 2243, 9531, 1691, 5545, 2044, 10450, 6685, 4434, 7830, 6975, 4140, 3020, 5644, 8449, 8861, 106, 9062, 2204, 4682, 4223, 6528, 4131, 2851, 230, 6779, 8012, 1809, 6169, 2745, 2006, 3280, 9058, 1370, 313, 6436, 8687, 6644, 2947, 8780, 9078, 6633, 9355, 3083, 101, 4607, 8139, 8481, 1002, 5135, 5558, 5735, 10085, 1164, 2177, 10444, 9986, 6380, 8542, 5045, 8646, 6409, 55, 3023, 2451, 9931, 1566, 7911, 5967, 1957, 5377, 7718, 4970, 3205, 3546, 8239, 5268, 679, 4715, 7733, 6723, 4419, 10006, 7853, 9965, 10088, 2936, 1087, 8369, 2738, 10527, 8266, 4098, 5177, 452, 3694, 5026, 6313, 2434, 6168, 7845, 3248, 9, 5001, 5696, 8127, 244, 3283, 5230, 7394, 8668, 7108, 1470, 2282, 7621, 5843, 6836, 8534, 9717, 551, 2949, 750, 5207, 9740, 6986, 9785, 1882, 1904, 9627, 3586, 7176, 3119, 8129, 3992, 1992, 8145, 8935, 9352, 6875, 1191, 1026, 8032, 9322, 9411, 8636, 3259, 2806, 2922, 1573, 8394, 4267, 2648, 10251, 4323, 866, 3833, 10115, 5010, 507, 6908, 5040, 1319, 3365, 7773, 7481, 753, 1865, 2238, 8960, 701, 1407, 6535, 10228, 707, 7764, 6163, 5661, 1762, 69, 3518, 2235, 4201, 10029, 105, 873, 505, 6963, 3407, 6890, 6246, 8879, 3772, 8547, 10153, 3039, 767, 4181, 3163, 1973, 292, 2930, 4942, 2347, 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5173, 8490, 9076, 8412, 4607, 3281, 6251, 6724, 2831, 3481, 10023, 1217, 1627, 765, 10513, 2225, 7684, 329, 2924, 3010, 6630, 8270, 8992, 6573, 6695, 1236, 2528, 904, 3083, 9871, 10202, 9381, 2938, 5835, 6877, 1077, 2293, 7052, 857, 10137, 4034, 554, 7725, 1632, 4573, 3561, 4239, 9223, 4359, 6279, 7513, 3283, 2232, 9428, 2979, 3468, 7810, 10323, 3654, 2926, 7742, 9326, 1851, 9259, 9292, 8176, 3651, 1983, 3330, 4444, 3077, 7864, 2252, 8985, 7308, 5438, 8123, 8919, 10133, 2819, 4706, 7210, 815, 3884, 6110, 7853, 9111, 10122, 7454, 7497, 9574, 8597, 8046, 4321, 3538, 3452, 3810, 3614, 2826, 616, 1430, 5804, 6099, 962, 5563, 1130, 7750, 9113, 2378, 8154, 4278, 238, 8864, 4526, 572, 7477, 5601, 4989, 7404, 791, 8285, 2430, 3968, 1873, 1662, 10432, 216, 1453, 8049, 3040, 9947, 4147, 8467, 1029, 5639, 2306, 8758, 5445, 3574, 1692, 4139, 8222, 268, 4472, 265, 6653, 4258, 8138, 2427, 4407, 10531, 9819, 1343, 7336, 2369, 722, 5194, 8976, 2129, 8415, 10347, 5016, 1295, 5203, 5229, 5874, 9228, 2768, 1567, 8280, 6391, 7268, 10522, 95, 4499, 1128, 4260, 1353, 4215, 3084, 2948, 3173, 3807, 3324, 4693, 7064, 7514, 8514, 2452, 5546, 8809, 10066, 3791, 6749, 9239, 635, 8247, 5515, 6834, 5460, 10250, 7551, 5701, 5177, 9449, 6939, 10311, 1749, 9847, 6398, 9800, 4376, 260, 5396, 1127, 8252, 8143, 4000, 1918, 1836, 1143, 821, 1183, 8800, 1609, 1833, 5070, 10418, 9129, 9633, 2714, 4590, 921, 9618, 9105, 3707, 1642, 6797, 7142, 1620, 7008, 8174, 6539, 8626, 5501, 8120, 4122, 4461, 9585, 2880, 872, 2294, 3404, 8673, 2950, 4221, 2610, 9221, 2634, 5270, 5367, 5893, 1102, 9557, 1283, 6005, 2471, 4622, 6928, 2907, 4394, 2677, 5777, 4401, 875, 8712, 131, 503, 3882, 7641, 62, 4719, 648, 3822, 8298, 3292, 10241, 1405, 7594, 5023, 428, 3631, 2156, 4479, 1921, 2206, 7403, 5953, 10325, 10115, 4116, 3613, 9812, 1390, 9197, 2220, 7101, 6619, 9748, 4206, 6472, 3000, 7499, 1114, 6849, 8223, 5558, 2935, 3042, 8683, 8889, 601, 4259, 707, 1529, 3768, 5255, 10437, 4320, 356, 5980, 7430, 5588, 3296, 5135, 7861, 1955, 5428, 69, 2492, 614, 1637, 1626, 5567, 173, 5404, 2550, 9474, 2536, 29, 801, 2404, 4430, 7723, 2992, 1376, 10364, 552, 8311, 1562, 7571, 10012, 3975, 6885, 4004, 2729, 5539, 3528, 2259, 4436, 1113, 10396, 3865, 5778, 1024, 4929, 379, 9079, 9116, 1264, 4414, 7752, 8094, 2392, 7479, 309, 6316, 1788, 5525, 8821, 8979, 3539, 5288, 3928, 9910, 7885, 1244, 2890, 10188, 8246, 619, 3254, 5435, 9866, 3600, 550, 4357, 9839, 5958, 3484, 2266, 1546, 369, 1991, 9256, 6888, 5439, 1003, 3924, 10486, 4500, 3967, 5202, 6658, 7838, 8552, 3483, 8486, 4400, 7483, 3053, 5353, 10457, 529, 6470, 4746, 5043, 7934, 8775, 8107, 3665, 968, 9621, 6950, 1961, 3636, 3648, 9010, 5058, 3562, 395, 8724, 5450, 3630, 52, 530, 9654, 8267, 8207, 9617, 10467, 2785, 9723, 4435, 6154, 9451, 8928, 4993, 5026, 8516, 3016, 4333, 1828, 5332, 124, 5155, 1790, 1741, 7869, 7653, 5511, 4421, 2638, 10204, 8702, 6205, 6214, 7701, 1, 6616, 10144, 6924, 760, 1182, 887, 9274, 1262, 6755, 3470, 10273, 5529, 1329, 121, 2859, 2288, 7501, 3157, 10425, 2164, 5646, 9414, 4214, 4509, 4270, 8824, 6794, 7062, 6134, 5489, 1514, 9726, 6733, 9476, 7704, 621, 2046, 10483, 1694, 10245, 2017, 6375, 7172, 2575, 7737, 9094, 5309, 4894, 8661, 5298, 5196, 3529, 8858, 3619, 9509, 154, 2104, 5243, 4507, 7460, 4125, 6591, 8037, 6209, 8402, 9114, 886, 9229, 4909, 1742, 7280, 6121, 9355, 8736, 1730, 5063, 3790, 6407, 7598, 1924, 6466, 3671, 9501, 4736, 5011, 6961, 9580, 72, 1700, 5970, 1005, 2609, 3716, 2453, 5868, 1328, 8580, 7436, 10456, 7317, 9795, 10299, 4651, 4071, 1896, 6525, 1221, 10525, 6217, 2767, 7226, 3402, 7458, 8163, 6149, 789, 7582, 1258, 9716, 4870, 4503, 892, 7981, 10109, 7260, 8029, 6222, 9955, 9503, 2412, 9894, 9916, 3342, 7764, 208, 5641, 7408, 1242, 9087, 2460, 8659, 7875, 4208, 5090, 8973, 9342, 1117, 5687, 9929, 1965, 7347, 4046, 8823, 2679, 4902, 8387, 4716, 5532, 7931, 113, 4001, 682, 8631, 10203, 6172, 6303, 10022, 3981, 6381, 3534, 678, 1602, 799, 6227, 4402, 888, 6606, 7906, 8080, 7265, 8113, 1472, 3393, 3050, 3446, 7099, 4571, 9591, 4813, 317, 8191, 9158, 4242, 1485, 6854, 6071, 1645, 7968, 9473, 8477, 1352, 9756, 6673, 4142, 9978, 4843, 32, 6310, 4779, 8065, 1475, 9278, 3150, 4940, 6467, 6335, 10362, 2111, 1769, 4720, 8398, 1761, 423, 9691, 5188, 6729, 3541, 9988, 34, 8205, 8921, 10446, 1540, 532, 594, 59, 8219, 8932, 5080, 4562, 6254, 6442, 4790, 9745, 9303, 1104, 5867, 9623, 367, 6765, 9255, 4646, 9080, 851, 10403, 5348, 1330, 4810, 4437, 8035, 9638, 2429, 3576, 6621, 10398, 3405, 9301, 4631, 2201, 3358, 9552, 90, 1615, 7920, 7402, 9093, 3908, 9980, 8023, 7525, 3879, 3948, 10124, 8667, 9755, 1796, 1415, 9575, 7503, 6970, 7898, 365, 4247, 8564, 4524, 9970, 4568, 453, 982, 6184, 2737, 1046, 1728, 9659, 4597, 1640, 8160, 9841, 10435, 9086, 10473, 6645, 6581, 471, 8483, 9994, 10182, 849, 308, 4994, 3520, 6454, 3869, 4172, 7309, 8671, 9336, 1811, 8595, 3034, 355, 7187, 2360, 5521, 5122, 4314, 3251, 3161, 3649, 5065, 7971, 1175, 645, 4690, 2112, 8454, 7433, 7841, 4223, 8414, 3228, 5973, 8983, 705, 5717, 1110, 3101, 1970, 9807, 10339, 543, 2888, 3687, 2854, 1027, 6665, 3557, 10088, 8485, 4070, 7297, 1936, 4228, 7170, 3099, 9084, 13, 6473, 4816, 10187, 2725, 4290, 6682, 10268, 8956, 8006, 1839, 3331, 8925, 314, 2233, 3061, 2525, 2995, 9488, 8336, 4554, 2569, 1206, 4791, 5308, 6477, 5137, 5604, 3410, 10427, 8261, 5373, 3235, 9774, 4844, 8843, 8427, 5891, 4277, 923, 2321, 7047, 665, 8300, 7019, 1720, 7985, 9719, 7719, 2204, 9598, 4031, 8059, 10139, 4855, 3731, 4881, 5432, 8753, 586, 6785, 4760, 8746, 9606, 401, 5766, 807, 5823, 725, 8405, 7348, 5916, 8184, 2393, 4426, 4052, 3269, 1151, 4563, 9953, 6266, 9572, 3447, 3841, 3225, 6178, 10445, 1826, 2596, 8403, 8892, 6626, 5928, 5795, 4149, 9590, 1351, 1112, 127, 5012, 75, 3348, 972, 407, 1807, 6804, 3075, 4151, 5082, 3575, 2399, 2960, 6242, 6376, 9096, 2124, 7835, 2751, 2247, 138, 9132, 3014, 1022, 6883, 10008, 6394, 4537, 8088, 676, 7469, 7989, 1678, 3927, 10226, 9448, 461, 4602, 5674, 4687, 5744, 7284, 1988, 6561, 2434, 6807, 8876, 2264, 2457, 6274, 2884, 7894, 5105, 5913, 8121, 8576, 9779, 4160, 5365, 2265, 3478, 4653, 1417, 339, 8422, 9281, 6403, 7953, 4217, 9782, 1334, 6933, 7457, 2239, 2499, 2912, 7667, 2892, 7130, 1581, 3111, 1167, 8884, 3118, 5221, 2895, 2945, 1549, 2734, 6147, 9720, 1633, 4514, 1758, 1557, 5248, 10009, 4331, 6654, 7519, 698, 9561, 5425, 947, 7724, 3179, 5649, 2238, 10259, 5908, 8157, 9677, 5477, 1440, 1229, 8165, 10097, 8441, 4332, 6739, 1648, 10263, 4012, 1690, 8099, 3400, 2619, 2114, 7837, 7470, 1163, 3873, 1524, 2670, 3190, 2577, 7232, 7757, 5695, 4630, 1001, 4350, 3931, 183, 3017, 9050, 1566, 5621, 4042, 283, 2739, 10, 4898, 9766, 5781, 4615, 2068, 9762, 6340, 5371, 3180, 7491, 2357, 1925, 1203, 10170, 1684, 1528, 10408, 4674, 385, 5464, 3316, 6587, 6475, 10331, 9564, 5455, 1336, 3598, 1085, 312, 2520, 9583, 768, 5482, 6100, 4467, 1555, 1396, 2750, 5519, 3838, 87, 6188, 1153, 5584, 7867, 1542, 8923, 10389, 1942, 7132, 7267, 1125, 10173, 2757, 3189, 8601, 5725, 6126, 8648, 1548, 7411, 2385, 9143, 2809, 5166, 3429, 1407, 679, 4389, 1523, 6555, 7406, 7663, 10355, 8802, 7484, 2355, 9142, 1500, 8225, 10338, 10207, 10101, 10162, 4812, 8541, 10255, 6176, 5854, 8772, 7219, 5585, 8546, 4585, 5313, 6593, 2940, 4699, 5093, 742, 6430, 896, 9688, 8272, 2904, 2307, 2997, 6363, 1846, 8268, 3185, 3419, 3309, 7781, 3816, 1674, 5295, 7807, 4515, 3272, 4911, 5803, 164, 2325, 1195, 4686, 8830, 8782, 6002, 2807, 3652, 8500, 6578, 4137, 7694, 9196, 4754, 8957, 1132, 10006, 6773, 7184, 6054, 7605, 248, 3734, 1580, 4230, 10447, 7207, 5879, 5746, 6366, 8375, 9879, 10256, 237, 2512, 2486, 229, 3815, 9437, 5775, 5, 9269, 5032, 7990, 1766, 2441, 7803, 5697, 3835, 9594, 5957, 3735, 5877, 10341, 3866, 9637, 2117, 7656, 10381, 1909, 6409, 9742, 5128, 9565, 9271, 4158, 9298, 3244, 2455, 5626, 8907, 1979, 7950, 8937, 4960, 577, 323, 5729, 7863, 5374, 5486, 4512, 4949, 3113, 7472, 3853, 7690, 6696, 6509, 8670, 1564, 5024, 662, 2151, 5950, 10098, 6910, 1220, 4997, 8803, 3027, 228, 5250, 7234, 2857, 2354, 5207, 9478, 1350, 6354, 1757, 715, 3973, 3490, 1623, 8397, 10380, 10400, 8658, 4423, 8257, 6427, 9906, 4731, 3049, 5324, 2182, 1521, 4163, 6790, 9178, 9070, 6468, 1681, 489, 4492, 3492, 3531, 43, 6193, 6460, 3078, 4341, 9396, 4076, 7222, 6713, 7270, 3817, 8859, 8697, 3409, 5523, 6670, 6747, 2911, 4852, 3494, 9399, 6146, 10421, 2212, 4956, 5287, 9067, 8592, 4642, 9999, 4769, 476, 6035, 2197, 1399, 200, 2055, 8763, 3556, 4371, 6163, 6096, 8806, 2820, 3982, 4501, 5910, 10055, 4133, 9350, 7027, 6300, 8232, 439, 8279, 7535, 245, 3122, 2959, 546, 207, 6329, 7149, 5615, 2685, 2301, 3140, 5290, 2144, 399, 7498, 1935, 86, 4336, 1097, 6558, 8804, 739, 10523, 6156, 326, 7177, 3183, 4428, 6909, 328, 9408, 4885, 8534, 6549, 7622, 2045, 10063, 7183, 9502, 7531, 3643, 6599, 3238, 4605, 5238, 1041, 214, 820, 5310, 6152, 8853, 9091, 266, 7307, 5702, 6032, 3379, 4727, 4742, 5625, 3890, 8004, 9535, 6923, 3220, 517, 5985, 2562, 1621, 4616, 1448, 7160, 6065, 7106, 5380, 6911, 6441, 1026, 1636, 347, 8111, 7185, 2490, 8728, 10079, 3168, 3068, 7879, 7076, 3511, 6575, 3130, 5362, 959, 6150, 4601, 5341, 1034, 8417, 9270, 377, 4134, 8475, 758, 5193, 1520, 6253, 288, 6820, 2309, 2066, 2652, 8882, 687, 876, 4883, 4335, 5461, 3234, 526, 8315, 4218, 7003, 6818, 632, 3584, 9251, 10050, 8720, 9604, 6907, 2270, 3985, 6298, 10266, 8603, 2237, 5902, 3289, 7648, 5305, 1707, 767, 3916, 5242, 5637, 730, 4890, 445, 6942, 2586, 9440, 1367, 10195, 10235, 5574, 1072, 9883, 6213, 5006, 6676, 9788, 5236, 9922, 8820, 176, 9185, 3114, 8868, 4425, 2625, 6469, 4794, 7046, 3323, 41, 3999, 2612, 165, 3211, 743, 7032, 3264, 901, 1578, 9025, 4195, 9643, 9909, 748, 8565, 2853, 3874, 2811, 5700, 91, 8890, 6669, 809, 4484, 270, 2223, 7517, 7240, 3232, 5415, 31, 8902, 10156, 3363, 4234, 7104, 9803, 1943, 844, 6016, 8905, 10123, 2869, 3937, 2870, 6714, 4857, 5204, 5053, 466, 3705, 8512, 3346, 1149, 8776, 7023, 10390, 10330, 9222, 2481, 3615, 357, 2022, 2570, 956, 6760, 8579, 1008, 3904, 8707, 6522, 9385, 9547, 3273, 5494, 961, 3480, 3776, 10316, 5640, 7418, 96, 5678, 147, 9439, 4806, 2337, 6526, 2695, 10183, 10329, 5385, 3451, 507, 5107, 250, 12, 7282, 8013, 10199, 7751, 4992, 6940, 8361, 5233, 9324, 1036, 9112, 3757, 7842, 313, 8871, 9277, 1321, 482, 1544, 10343, 3509, 7695, 9528, 9609, 732, 4759, 10051, 3217, 6450, 8000, 6044, 10034, 6371, 3530, 7036, 1768, 599, 8137, 254, 4313, 2488, 2548, 4144, 1012, 9843, 1211, 3554, 6500, 3193, 4244, 3578, 7475, 595, 8847, 5844, 8358, 8203, 5556, 6721, 1913, 5159, 6788, 4011, 1095, 3103, 8424, 6414, 964, 8741, 7434, 5424, 5356, 1835, 8185, 6878, 3675, 9002, 1889, 10443, 7051, 3287, 7355, 7633, 7892, 7708, 5757, 3728, 9705, 2535, 7143, 8588, 3318, 7243, 8117, 246, 9671, 1385, 4561, 3972, 3198, 7195, 8797, 9179, 1018, 7328, 4895, 1065, 4018, 8047, 6400, 3339, 1299, 1054, 8278, 9140, 3862, 7424, 6333, 1746, 5709, 5276, 9244, 7745, 567, 2032, 50, 4948, 210, 7218, 8056, 5530, 1462, 8675, 7804, 1247, 2686, 5504, 4207, 2532, 8953, 8709, 3231, 5723, 4783, 7703, 7444, 1974, 6203, 5827, 6802, 2653, 5752, 7179, 474, 788, 5230, 1964, 3270, 3465, 10412, 3730, 8877, 9808, 7793, 9463, 5206, 1530, 9845, 7070, 3349, 9707, 3336, 2583, 8489, 7649, 2303, 5977, 2402, 9578, 3527, 4756, 473, 10148, 7942, 6404, 3434, 6625, 7574, 2931, 10201, 3258, 48, 2860, 6061, 625, 4981, 5274, 227, 7072, 8968, 5161, 6710, 9758, 7726, 2643, 5042, 6700, 920, 7332, 9014, 6339, 5599, 2170, 7325, 7459, 9418, 837, 6540, 5278, 8380, 6411, 6615, 2196, 9310, 9017, 4853, 10454, 2958, 8520, 4186, 8764, 1744, 3367, 7994, 5079, 1166, 3076, 1048, 6117, 4105, 10167, 8714, 4964, 932, 6008, 1150, 7628, 2083, 9676, 8852, 5261, 5315, 373, 5966, 1332, 467, 535, 9127, 6902, 7844, 9236, 7092, 2194, 8988, 8478, 3294, 8209, 4893, 3514, 10134, 638, 9233, 4245, 5417, 6108, 4155, 3029, 7223, 10378, 6132, 6229, 3664, 9918, 4584, 3495, 7225, 4559, 5603, 6738, 4913, 3112, 2755, 2287, 9121, 7666, 1885, 3093, 3947, 8038, 3298, 5064, 448, 8442, 6418, 10136, 9872, 5923, 1842, 5647, 4229, 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3887, 6183, 1279, 1883, 352, 1145, 6068, 6679, 267, 1725, 2954, 7004, 5805, 7621, 9682, 6221, 4241, 6046, 1007, 9836, 4968, 10108, 1359, 3833, 939, 6347, 6987, 4369, 986, 4337, 2633, 6716, 8115, 8705, 4685, 513, 4256, 3573, 9077, 5548, 5905, 1821, 2155, 3057, 1937, 6518, 1679, 559, 2386, 2115, 7395, 8175, 8434, 6017, 8622, 4586, 7288, 8539, 4838, 5317, 1410, 5873, 6346, 5239, 462, 9813, 3861, 3461, 1717, 2770, 3542, 4395, 9852, 7710, 1923, 10455, 5205, 7427, 7790, 7127, 7840, 6180, 4113, 9248, 418, 7777, 3276, 5342, 3899, 9928, 9835, 2497, 7206, 7506, 1668, 10106, 3085, 5792, 7173, 916, 3090, 9305, 5349, 5638, 99, 6872, 4983, 1061, 6717, 1304, 9453, 10194, 3952, 978, 7156, 1502, 3453, 1403, 3839, 8156, 9177, 4240, 5046, 9612, 706, 9284, 3332, 9530, 7120, 8086, 5972, 394, 5885, 2235, 4375, 380, 7872, 7155, 4097, 5892, 5580, 6524, 1492, 894, 8556, 3747, 2603, 6421, 2790, 3485, 1154, 3723, 3132, 7802, 7049, 8307, 2359, 3512, 4145, 175, 3062, 7583, 2062, 4132, 8015, 5050, 8499, 9958, 3134, 6542, 4033, 2848, 8021, 2549, 7329, 5911, 6431, 969, 1693, 9240, 5673, 1365, 2515, 3709, 9662, 3123, 5866, 1023, 5124, 4550, 6913, 5783, 8832, 5133, 1043, 4442, 1286, 622, 4533, 4338, 9144, 9771, 4287, 2503, 10480, 6833, 2800, 4298, 4294, 6320, 1476, 5852, 4473, 3467, 8133, 1805, 7587, 6791, 5779, 10218, 93, 4656, 5942, 8491, 442, 6258, 1106, 3428, 8145, 9392, 8322, 10001, 7623, 5106, 2893, 8737, 4819, 10163, 6202, 2635, 2545, 5648, 3913, 5384, 6672, 4212, 6480, 10346, 10300, 3046, 7881, 7494, 9703, 9663, 4355, 7231, 280, 5979, 456, 9216, 2901, 2932, 6862, 9457, 3824, 893, 5875, 8904, 6413, 4782, 5414, 2021, 9349, 736, 827, 8289, 7471, 475, 6553, 1989, 8050, 6478, 9166, 4322, 9799, 9582, 3560, 8032, 7319, 8740, 7413, 7937, 6241, 3832, 1202, 45, 1134, 3787, 8754, 7711, 10528, 7916, 10493, 1481, 2949, 7913, 993, 1929, 7327, 8061, 10402, 7300, 3284, 10413, 3249, 6871, 6230, 2777, 10100, 1775, 9379, 7271, 7253, 5017, 2813, 1920, 5711, 1536, 6423, 1595, 912, 6817, 1301, 5883, 4884, 18, 9877, 6977, 9744, 4056, 10090, 9064, 7287, 2727, 6206, 3201, 6282, 6042, 5492, 2897, 8439, 1931, 5333, 3588, 5180, 5776, 1256, 3966, 8615, 9888, 8001, 3628, 3902, 10394, 5748, 9681, 9069, 4196, 10240, 5663, 1381, 4109, 9628, 9826, 2659, 2517, 2771, 9415, 392, 1822, 6694, 3089, 8571, 4632, 6215, 3721, 3637, 3545, 7372, 4896, 5364, 1392, 6750, 8948, 6015, 2706, 2530, 2400, 9331, 259, 9870, 2023, 7167, 7410, 1884, 9944, 6661, 4995, 1456, 9053, 9761, 7902, 7200, 6049, 4943, 4516, 8718, 641, 4842, 1469, 5802, 6067, 519, 2300, 2717, 9668, 5351, 8796, 9003, 9569, 4609, 5457, 5799, 6280, 3617, 7321, 7543, 8262, 926, 5054, 103, 8066, 2554, 8875, 2693, 9432, 3020, 3722, 8062, 8227, 8668, 5743, 10527, 4010, 1597, 1526, 9187, 7384, 6224, 9012, 429, 8643, 5881, 5028, 1653, 4864, 5467, 1458, 4941, 10128, 5576, 3195, 3540, 1591, 2371, 5819, 8273, 5668, 1734, 3275, 6972, 5092, 7292, 6429, 7526, 1993, 3120, 10434, 4529, 212, 5465, 6161, 8076, 10150, 8848, 6503, 10354, 3725, 7059, 3977, 5120, 4741, 903, 8148, 3682, 9648, 6946, 1984, 4009, 7616, 7053, 3601, 402, 7093, 9911, 9792, 4738, 5613, 6239, 7186, 3436, 8536, 4623, 2390, 3415, 10520, 327, 2109, 3245, 3504, 5251, 8903, 4225, 3940, 9981, 6356, 184, 2736, 2630, 9857, 8213, 766, 7692, 5596, 4448, 8699, 6119, 7138, 9878, 6632, 6009, 1697, 5959, 2494, 9790, 829, 9972, 4510, 3750, 1013, 3206, 8077, 1837, 9209, 10358, 4198, 232, 721, 9851, 6966, 9435, 9924, 338, 960, 6814, 1817, 684, 9348, 6296, 8149, 10271, 4173, 6698, 639, 5475, 582, 7601, 3532, 4583, 7919, 3302, 10228, 6596, 10260, 4974, 3334, 8024, 1156, 9460, 39, 8260, 6343, 9306, 3668, 9361, 711, 1879, 5734, 1686, 9562, 593, 5763, 484, 3290, 7946, 5131, 4330, 5304, 9608, 6123, 2491, 10146, 4352, 9387, 4411, 6805, 180, 5410, 847, 4700, 6457, 1271, 1387, 1963, 7315, 89, 393, 292, 10290, 3629, 8446, 3513, 2914, 2666, 2044, 7591, 2381, 1563, 405, 6438, 2716, 6302, 9780, 5571, 4143, 2961, 1976, 9520, 4036, 9880, 8519, 8167, 10321, 9701, 2126, 1956, 8303, 2828, 5389, 6309, 660, 3994, 8100, 5594, 4679, 8911, 1559, 3740, 10505, 2972, 6000, 9037, 10267, 7893, 644, 9001, 2929, 10086, 9713, 814, 2250, 2715, 9897, 612, 5073, 2421, 8814, 9365, 5559, 7276, 426, 9749, 3381, 1552, 8518, 315, 3956, 264, 10069, 3840, 5030, 6601, 8715, 5551, 5468, 8501, 5656, 4820, 8608, 709, 7466, 8016, 2789, 511, 2089, 9264, 10257, 3860, 3550, 9224, 7502, 8347, 457, 4106, 4377, 9769, 8048, 366, 5582, 3923, 7140, 963, 9032, 4007, 6727, 4691, 9945, 6532, 1894, 10322, 8681, 3293, 1516, 2395, 4328, 2763, 9948, 3081, 3372, 9173, 6800, 2245, 6897, 2405, 9238, 781, 2142, 1504, 3043, 9667, 10462, 6501, 3801, 8574, 1854, 7181, 8256, 2048, 5987, 4179, 9217, 5246, 5048, 9359, 5943, 336, 3521, 4709, 9194, 3450, 816, 5505, 878, 504, 1579, 149, 2981, 812, 10492, 8471, 2147, 4342, 7603, 5312, 9923, 5962, 4659, 9875, 1298, 8838, 3895, 9384, 6190, 755, 6088, 668, 239, 3938, 9946, 636, 2153, 9543, 4980, 5553, 9904, 9369, 5018, 2398, 10073, 7722, 1927, 4156, 211, 8299, 8103, 1374, 4722, 5103, 5808, 7599, 7631, 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4894, 9351, 6157, 2976, 3984, 5330, 5798, 7296, 4210, 3123, 6377, 4457, 1131, 9735, 5810, 4450, 5956, 8982, 186, 6678, 7864, 3030, 8779, 876, 5975, 1107, 8531, 10152, 3361, 9902, 1763, 8567, 5668, 6960, 5130, 9926, 7491, 8208, 3568, 1061, 149, 2521, 2402, 1031, 10491, 7368, 5385, 8135, 6783, 4770, 4359, 6297, 392, 10224, 1395, 8511, 3932, 1730, 584, 4650, 8076, 4772, 414, 6791, 3261, 966, 8920, 7315, 6500, 10063, 6139, 4535, 9414, 125, 6233, 1040, 10533, 9584, 1145, 3367, 2233, 2465, 3597, 9893, 1298, 10285, 466, 1187, 5789, 1862, 5540, 6010, 5711, 7272, 156, 4706, 6083, 1874, 3349, 4090, 7801, 9717, 10413, 4965, 8916, 9802, 1425, 9859, 4800, 9708, 8116, 1077, 6788, 3289, 3200, 6862, 2734, 7719, 676, 2619, 1577, 7010, 1128, 9866, 84, 8, 9598, 575, 7039, 6488, 5297, 838, 1599, 7468, 2213, 8494, 7457, 3539, 8086, 4758, 7325, 8378, 1327, 6563, 7395, 3686, 7141, 6813, 4065, 440, 9830, 8838, 3919, 4848, 9245, 5999, 6925, 7103, 6502, 9477, 1744, 8928, 1332, 103, 7861, 8287, 447, 5608, 1125, 10358, 7777, 6375, 9958, 7193, 8335, 2611, 7846, 7786, 9249, 8030, 8950, 3014, 3029, 727, 6034, 10503, 10122, 6735, 3288, 9322, 10214, 2062, 7571, 1415, 1987, 928, 5964, 3935, 9823, 2810, 5632, 2466, 396, 2688, 6455, 9550, 1052, 4024, 3329, 10101, 3192, 4679, 10398, 5530, 6843, 3638, 6388, 878, 1875, 6691, 6175, 3822, 8196, 6549, 387, 2106, 3187, 1089, 8239, 7267, 5505, 6301, 3183, 4656, 4012, 6590, 8092, 2422, 8125, 7319, 8062, 7933, 7542, 2765, 8275, 4499, 2989, 8153, 5639, 10526, 10012, 7217, 1186, 2988, 7464, 9962, 1984, 4211, 9870, 5915, 1842, 835, 10375, 313, 9429, 7369, 3236, 8348, 380, 9142, 8933, 9345, 7226, 978, 10139, 7237, 6591, 8659, 2519, 110, 8526, 7349, 5449, 1734, 983, 4446, 8549, 583, 9283, 3547, 2528, 7543, 1929, 4626, 1848, 1367, 7273, 1017, 552, 2498, 9847, 2706, 6816, 4192, 8359, 3659, 2232, 7558, 5483, 8346, 896, 7008, 5821, 5084, 10158, 7588, 3891, 7287, 4127, 5969, 2240, 7489, 1976, 6414, 7957, 7163, 8222, 342, 6567, 7350, 2171, 1865, 855, 166, 1030, 8322, 8098, 2038, 8510, 113, 4072, 2277, 5095, 2428, 2404, 9666, 8281, 4152, 5486, 7872, 9822, 1568, 4244, 5926, 6603, 7939, 6478, 6530, 1064, 7979, 6929, 8716, 6950, 6669, 757, 4230, 7283, 9790, 5774, 6218, 7025, 5423, 5782, 5230, 594, 9103, 6115, 1607, 1034, 8139, 6154, 9812, 6331, 1084, 4950, 4163, 4255, 5818, 1240, 1558, 7619, 2067, 24, 4296, 5427, 2975, 140, 6553, 7423, 945, 6322, 8398, 7130, 6749, 8886, 8937, 1201, 2938, 2360, 9670, 10113, 4443, 6682, 5194, 1264, 6606, 5274, 3317, 3733, 4151, 4007, 4654, 8638, 1020, 2973, 987, 2224, 315, 8164, 6330, 4902, 4270, 7654, 3316, 8744, 8123, 5287, 9840, 5726, 8644, 3001, 7417, 9054, 7431, 1892, 909, 4545, 8856, 5144, 1851, 7269, 2801, 6495, 8760, 1424, 5598, 8212, 4738, 5710, 9256, 7484, 8545, 6104, 5907, 2886, 5682, 3779, 69, 9757, 6891, 7345, 6412, 788, 3144, 6543, 7587, 6923, 3518, 2655, 6503, 6895, 660, 7021, 9690, 10397, 9999, 1436, 2242, 1499, 9154, 6027, 5128, 6168, 1065, 1280, 1685, 9069, 67, 1765, 2397, 548, 5154, 3460, 6832, 3587, 1652, 5171, 2476, 7859, 5018, 2958, 3713, 2030, 4928, 10136, 1729, 1509, 2725, 3718, 9676, 6470, 5759, 7029, 4721, 4661, 45, 10260, 10348, 3864, 924, 4542, 9730, 5925, 8101, 3732, 1420, 7744, 4207, 4269, 4344, 5075, 5988, 2967, 656, 1480, 9454, 2671, 8957, 3986, 1475, 2317, 9136, 3117, 752, 5546, 241, 3782, 9879, 8324, 6173, 7787, 5122, 2826, 9210, 5305, 946, 1193, 10406, 2778, 10427, 8451, 4806, 8851, 9843, 4179, 2259, 6872, 2552, 456, 6857, 6601, 4807, 3799, 3028, 845, 1323, 9359, 2010, 417, 7156, 7612, 3654, 8643, 3773, 904, 181, 2523, 9211, 9014, 2517, 4401, 2663, 4502, 7898, 448, 7737, 3304, 6342, 495, 9208, 4937, 3765, 1098, 3828, 1530, 4223, 9826, 9031, 5109, 4452, 5526, 10445, 8637, 7450, 6924, 8129, 8768, 5958, 5233, 8265, 25, 7003, 8580, 5489, 9485, 8628, 9641, 9816, 10279, 6424, 5665, 7311, 8481, 2350, 7442, 9503, 10263, 1651, 7239, 303, 7093, 5115, 8980, 3189, 8497, 8842, 808, 4227, 6289, 7640, 3877, 1648, 8666, 5794, 8004, 2137, 7110, 6179, 5586, 1525, 6633, 2107, 7511, 4103, 6320, 10369, 6181, 2621, 3303, 6392, 5556, 7306, 6672, 9428, 6528, 10219, 3960, 6851, 3104, 9585, 5497, 5510, 9934, 3217, 3056, 7959, 7793, 836, 556, 5849, 8897, 9722, 7556, 8694, 225, 3890, 6753, 3390, 3048, 8000, 564, 7432, 5729, 1585, 5156, 4921, 4203, 4884, 3354, 7374, 6052, 5565, 748, 9881, 8867, 1144, 3199, 7778, 6378, 974, 2949, 6089, 6326, 7009, 6884, 4022, 9114, 1539, 3254, 182, 2066, 8278, 4607, 3700, 7013, 8306, 2669, 7751, 8958, 8154, 3993, 4252, 8595, 3719, 9088, 8272, 324, 641, 7479, 10295, 2800, 7655, 9592, 9149, 9286, 9818, 4704, 8705, 6401, 9987, 8041, 6611, 7189, 9894, 1397, 1749, 5262, 5268, 8527, 2981, 6332, 5708, 3441, 6321, 2119, 5415, 8104, 7201, 1524, 2234, 1798, 4470, 5760, 1605, 9230, 688, 1455, 8102, 6366, 1007, 1986, 7233, 3914, 8537, 224, 9055, 5344, 4790, 9569, 8443, 9474, 8935, 317, 958, 5513, 3202, 9510, 9742, 703, 2576, 2927, 5607, 4254, 8035, 10046, 9369, 3222, 721, 8726, 7452, 6638, 4318, 1154, 4961, 1810, 4261, 7072, 8968, 4723, 1459, 10434, 5629, 4142, 5833, 169, 8906, 52, 2772, 2116, 6513, 2115, 8808, 7535, 2651, 10306, 4985, 8344, 8731, 4907, 4756, 9234, 7897, 10034, 4506, 6565, 9344, 10033, 866, 8271, 9946, 7107, 5005, 5579, 4999, 5205, 9195, 8037, 4616, 1385, 629, 4131, 1302, 948, 6110, 9594, 499, 8147, 9639, 6416, 8452, 9945, 10174, 2215, 2285, 9915, 10255, 4823, 3295, 4188, 4317, 3407, 567, 3484, 9158, 6529, 7115, 3930, 5143, 2401, 8720, 2812, 9214, 2836, 7624, 3142, 5770, 3377, 3156, 5340, 3684, 1954, 9515, 6214, 4729, 4860, 7168, 6348, 5614, 2319, 6090, 150, 4982, 1641, 7338, 2860, 1174, 4819, 5827, 9152, 298, 803, 8191, 5147, 2036, 2261, 7357, 2625, 6505, 811, 10121, 542, 462, 5781, 7951, 6421, 9402, 10335, 2704, 3921, 4874, 8021, 10162, 7717, 9129, 5393, 749, 3155, 4685, 5070, 3614, 6926, 1067, 1846, 9876, 10143, 2620, 7681, 9131, 7871, 5213, 1570, 2813, 10344, 9109, 10342, 4180, 3139, 8781, 2049, 9855, 2550, 3723, 668, 7680, 9595, 6234, 9492, 3050, 4609, 8522, 3453, 3091, 9301, 8430, 2145, 3424, 3692, 159, 916, 4629, 7728, 9647, 5014, 5021, 3784, 4517, 5756, 2153, 8714, 7382, 5500, 1863, 5908, 4235, 6712, 5487, 8126, 3357, 6615, 4464, 3258, 3897, 10525, 9393, 2650, 6722, 3666, 4335, 328, 6382, 6074, 5865, 3228, 1771, 4101, 6856, 8795, 2490, 2980, 3299, 3231, 4513, 7529, 3138, 5086, 7981, 8390, 9455, 1100, 1292, 6390, 8986, 3829, 7229, 49, 4899, 9793, 7689, 6038, 2998, 4663, 7358, 7697, 7370, 4435, 9095, 9549, 9360, 3810, 635, 7796, 252, 10477, 6248, 10166, 2903, 1825, 9904, 8427, 120, 6592, 597, 3806, 8245, 5327, 10202, 5799, 6875, 6498, 6684, 9716, 5921, 5294, 153, 640, 4608, 9044, 7258, 5146, 2693, 1903, 3394, 155, 1311, 6876, 3980, 9196, 7810, 8855, 9754, 8895, 9236, 10191, 8001, 6265, 2130, 10448, 2274, 5867, 5220, 1614, 94, 10010, 9124, 10514, 4391, 6653, 2059, 5121, 8374, 8174, 4898, 6890, 6879, 8672, 7266, 2609, 541, 5722, 988, 765, 8404, 3896, 2689, 903, 193, 2039, 2992, 5031, 8959, 2219, 7213, 4888, 200, 5551, 4600, 7514, 880, 1047, 2761, 8105, 1867, 2169, 10226, 7271, 6159, 4222, 6932, 571, 7974, 345, 3086, 2834, 7453, 7172, 5431, 10076, 2064, 4274, 630, 938, 1812, 2327, 6049, 4416, 2868, 3628, 5613, 4803, 2092, 8680, 1307, 2790, 10159, 9983, 3135, 3613, 4630, 7735, 7592, 9908, 5062, 3318, 9016, 790, 9292, 7207, 6658, 9478, 9329, 3351, 6358, 9705, 8596, 8237, 1834, 1335, 1519, 6113, 9963, 9543, 10361, 7405, 7173, 3245, 1427, 9564, 4141, 3589, 7352, 416, 4442, 5285, 5697, 4601, 5313, 1980, 527, 3405, 4602, 3320, 8786, 10278, 7429, 10484, 5605, 4957, 4619, 4363, 2898, 196, 8368, 1596, 3171, 512, 5471, 3455, 7278, 7490, 2583, 4658, 7438, 10327, 1036, 6930, 4380, 4877, 9218, 4126, 6854, 8244, 3000, 8698, 8686, 906, 5001, 4256, 9495, 9020, 1492, 2332, 180, 6836, 2447, 8280, 9850, 8692, 1303, 8429, 4567, 3063, 2752, 6992, 8240, 3834, 7198, 6778, 9461, 3627, 7359, 9443, 1821, 610, 3379, 7334, 1882, 954, 3968, 2723, 5261, 147, 9315, 1261, 9824, 3207, 5933, 1920, 5381, 6220, 8707, 9635, 5107, 4983, 6235, 9101, 9764, 4510, 10532, 7714, 5310, 9721, 8622, 459, 3757, 5535, 3321, 5836, 6012, 7120, 5334, 6443, 1990, 2344, 7098, 9849, 4558, 2641, 2179, 8541, 4030, 7356, 4832, 3871, 7280, 2099, 8077, 7903, 8715, 4615, 2366, 7536, 7996, 8049, 1740, 1972, 4280, 1393, 4752, 9767, 8918, 7027, 2407, 4808, 3464, 5537, 8489, 8921, 9662, 1854, 5900, 1501, 8435, 10527, 31, 646, 8653, 9599, 7695, 1550, 3298, 4853, 6674, 8820, 3600, 5455, 4031, 7878, 10499, 8967, 5082, 9626, 1724, 4405, 766, 6988, 4107, 7769, 9119, 3271, 1429, 1351, 9715, 4425, 1374, 9314, 7049, 6474, 8298, 870, 5110, 8450, 8213, 595, 6490, 422, 5732, 4859, 4375, 603, 7632, 8804, 8323, 2372, 4672, 9077, 50, 6494, 8633, 9736, 8432, 5877, 4081, 4774, 1148, 2334, 7790, 7214, 4361, 1091, 7649, 820, 6612, 1748, 8074, 6800, 5684, 4587, 9643, 2659, 3705, 984, 5349, 10078, 4995, 9979, 4947, 3098, 10044, 6399, 8442, 1981, 53, 7433, 10134, 8602, 9179, 4931, 8873, 281, 264, 6092, 3127, 2871, 778, 10461, 625, 3272, 729, 995, 9652, 10069, 1457, 4820, 10020, 572, 3019, 9563, 8797, 5571, 8587, 5400, 566, 2928, 7451, 3315, 1594, 4906, 2174, 1450, 4324, 9274, 7492, 8050, 7104, 2006, 5150, 6713, 9924, 4876, 4501, 3601, 7885, 7076, 8243, 4469, 4863, 5362, 2615, 4286, 4474, 6349, 4383, 2235, 7144, 739, 1200, 9936, 5238, 3517, 9517, 7816, 4603, 2367, 5904, 3429, 2299, 1441, 7031, 8405, 1476, 6886, 8695, 9638, 3902, 1650, 8440, 694, 6695, 246, 7761, 9398, 7482, 4507, 9522, 9403, 8146, 5284, 8719, 5856, 5343, 6261, 4576, 124, 5902, 4456, 2909, 7519, 2717, 3214, 2683, 2839, 747, 3503, 5610, 6940, 4454, 7150, 2770, 4080, 10245, 7599, 2053, 7647, 4242, 2462, 8562, 4934, 10210, 2203, 5541, 7421, 4546, 2553, 3366, 7362, 10460, 3184, 9758, 6706, 4000, 4481, 6354, 4731, 4320, 6290, 5060, 2014, 7480, 6166, 4622, 9040, 8818, 5557, 10481, 3476, 5669, 5480, 8340, 2785, 5129, 6066, 4996, 3738, 3610, 5974, 5360, 8722, 7860, 5197, 4668, 2818, 4322, 4352, 4275, 9667, 5196, 280, 3470, 5929, 2931, 10401, 2635, 1136, 9867, 503, 5909, 7818, 3346, 6905, 9288, 570, 9723, 6826, 5426, 8667, 8169, 5083, 1910, 1900, 3687, 1925, 2390, 3847, 5784, 7085, 3791, 3380, 3341, 2680, 9089, 223, 897, 10199, 8844, 176, 6920, 5931, 6485, 5663, 9074, 829, 9576, 6714, 7943, 85, 10517, 7963, 6063, 4579, 154, 645, 7418, 4670, 9795, 2572, 2395, 6454, 7493, 5792, 9251, 162, 9982, 3767, 889, 3835, 10084, 3478, 7634, 9334, 873, 744, 9933, 1876, 6278, 9293, 8663, 10042, 2136, 5089, 2206, 8588, 8058, 5155, 1958, 10419, 8136, 2674, 8515, 3931, 4194, 6098, 5823, 774, 1355, 5638, 4594, 8310, 1215, 972, 2289, 4728, 363, 785, 7043, 183, 9078, 4215, 5160, 8055, 3991, 4493, 2856, 5847, 6526, 6834, 2545, 9081, 8819, 7026, 1565, 8128, 2861, 5419, 1460, 1431, 861, 4444, 718, 2202, 2694, 2122, 4396, 8807, 5519, 4125, 4104, 9260, 8339, 6568, 467, 8682, 8905, 212, 2444, 9974, 5962, 9172, 5935, 697, 8140, 6172, 4904, 8771, 1255, 8988, 39, 6167, 4974, 8908, 10425, 7715, 3736, 4312, 4984, 285, 4061, 1141, 6583, 7179, 3964, 8983, 4581, 9339, 8117, 10316, 8249, 7086, 8880, 9405, 7199, 7034, 2559, 8926, 10304, 8914, 4213, 10446, 4266, 2410, 7204, 9048, 3293, 4251, 8847, 6863, 2608, 8904, 6719, 5838, 479, 1165, 1720, 109, 9441, 9650, 8428, 6123, 802, 1376, 8279, 1358, 4551, 10493, 1571, 4943, 4439, 10418, 5917, 7826, 4895, 9006, 6417, 4062, 5028, 9862, 9255, 8138, 6545, 7759, 7507, 8724, 10056, 4740, 1405, 2847, 7789, 1855, 4638, 2920, 5751, 10365, 426, 3038, 806, 9806, 1840, 1412, 1595, 7304, 9431, 3350, 2913, 10457, 8945, 6737, 6429, 346, 6825, 9796, 6162, 5852, 7343, 7667, 5612, 10438, 5465, 5357, 10352, 4290, 4487, 215, 6274, 5672, 2268, 2210, 7776, 10238, 4169, 5923, 6015, 5995, 3603, 751, 8220, 9201, 9570, 7279, 2370, 2662, 642, 6771, 7972, 10345, 4489, 2333, 5887, 9807, 3279, 6931, 2530, 6847, 5249, 5034, 4128, 1168, 4314, 1266, 1037, 517, 5644, 5899, 1458, 6880, 10253, 1369, 5965, 5616, 6426, 4465, 4034, 4023, 1714, 7608, 1319, 10081, 7152, 4571, 7982, 5151, 3761, 5187, 6491, 1901, 4424, 1042, 2911, 4018, 898, 2574, 4189, 4762, 652, 8748, 4129, 3815, 7223, 9176, 4114, 10138, 2959, 9582, 2271, 6852, 1950, 8533, 1879, 4193, 7652, 7044, 265, 6276, 1589, 746, 4070, 9498, 1465, 6871, 5930, 7664, 6828, 3114, 3508, 2217, 5538, 6312, 5466, 809, 3492, 4440, 5528, 4360, 4903, 6692, 7485, 3512, 772, 2565, 8059, 7705, 3869, 4675, 6725, 2416, 4708, 10309, 6741, 3771, 2954, 10117, 9126, 6564, 5702, 1924, 334, 6045, 2890, 2461, 8712, 258, 6360, 7119, 1711, 5937, 5961, 6299, 9381, 3042, 9348, 6371, 5825, 7906, 10062, 507, 9266, 1819, 6631, 5298, 532, 2666, 8711, 9617, 2902, 5801, 5545, 2013, 3323, 9603, 9335, 9692, 7837, 7980, 7690, 10161, 4635, 2394, 8964, 5277, 7243, 6523, 3365, 1566, 6073, 2955, 6679, 637, 7322, 248, 7853, 5002, 3593, 7720, 5812, 8003, 1357, 10307, 10037, 9619, 1479, 10359, 1697, 5378, 7646, 7829, 1094, 7605, 3639, 5795, 7396, 9102, 7246, 1235, 6779, 6448, 9183, 7848, 1217, 9530, 3729, 2324, 7100, 5873, 70, 4346, 8173, 2286, 1051, 7389, 8883, 5149, 5724, 5788, 7833, 2760, 8517, 5099, 1521, 533, 3905, 2977, 6683, 4597, 6003, 7611, 7800, 4754, 8853, 10430, 118, 8284, 3901, 1350, 9565, 5507, 1440, 5601, 5243, 7111, 5893, 9466, 5778, 823, 1658, 9097, 8273, 3226, 8206, 1166, 2236, 7364, 5120, 6209, 2477, 3012, 8349, 1909, 2339, 914, 4652, 9336, 4795, 7577, 8864, 9614, 7909, 9657, 6044, 804, 4297, 3413, 6811, 379, 3093, 2783, 7080, 6103, 3900, 10390, 455, 5982, 3190, 3387, 1178, 10080, 1869, 4398, 5658, 8315, 5514, 2451, 1852, 6760, 3103, 8721, 349, 6415, 4105, 2612, 4578, 4783, 9189, 7931, 388, 6887, 9842, 8151, 6744, 8441, 682, 6620, 6141, 1703, 2398, 497, 3973, 1971, 9538, 8367, 5577, 10220, 2184, 6951, 650, 4206, 1340, 8802, 9919, 5047, 5536, 2362, 6639, 5552, 8936, 10350, 4926, 3047, 3958, 9380, 923, 9302, 2986, 775, 9700, 8413, 1996, 7211, 7779, 3032, 8474, 2194, 5346, 3473, 544, 7636, 10293, 5338, 1461, 6994, 6007, 1002, 611, 4856, 7146, 6919, 4569, 4890, 4108, 6427, 9817, 10248, 10432, 242, 5078, 2540, 7771, 8506, 4523, 8948, 1321, 5544, 8231, 5529, 7594, 9634, 10349, 134, 686, 965, 2586, 9157, 3676, 9091, 1448, 1811, 1038, 1742, 4780, 10039, 2763, 1426, 647, 5876, 4539, 2739, 3830, 6037, 4040, 6643, 4052, 4736, 3241, 9833, 3926, 3255, 5461, 7206, 6506, 1423, 2495, 9479, 4960, 4777, 6577, 1935, 4157, 305, 2515, 6323, 1072, 9067, 7522, 6972, 306, 1079, 5135, 9015, 5123, 1809, 10317, 7505, 6983, 547, 10379, 2601, 4394, 2017, 7666, 9632, 8283, 10065, 8992, 6518, 4734, 959, 4821, 5620, 6837, 9697, 2485, 10464, 10225, 3543, 529, 6586, 5304, 7310, 5693, 7852, 7960, 10297, 8956, 6111, 5066, 2091, 10100, 9918, 7949, 480, 2512, 8981, 4841, 2797, 9535, 4659, 10125, 2654, 6700, 8678, 4014, 8290, 1267, 6734, 8458, 10040, 5512, 3542, 1078, 2541, 3923, 9929, 8462, 6035, 1126, 2134, 37, 9349, 8940, 7808, 6512, 6208, 2896, 2096, 5355, 8336, 736, 8192, 3699, 6661, 1383, 9940, 6118, 5527, 1858, 3514, 707, 7019, 3099, 8556, 5793, 6999, 5244, 3314, 758, 10497, 9320, 3185, 4816, 7928, 2393, 3860, 2815, 9768, 7753, 7936, 10265, 2190, 7862, 7626, 2877, 3511, 3243, 9562, 2435, 9459, 3674, 6486, 2941, 9961, 10240, 9778, 10146, 3294, 8776, 1678, 3090, 1206, 9384, 5245, 8652, 2027, 10275, 10311, 5000, 7512, 1472, 6194, 8888, 9615, 7732, 4412, 7838, 2288, 6647, 738, 3173, 381, 1219, 560, 513, 6418, 397, 5105, 7893, 6548, 8861, 3632, 6949, 5554, 3525, 9607, 2025, 4485, 10455, 6198, 4498, 5733, 2600, 2154, 4990, 5869, 5689, 9264, 9972, 2054, 10165, 3174, 3522, 750, 1252, 7126, 8329, 73, 8321, 9337, 10041, 3415, 4562, 7125, 9177, 780, 9353, 3998, 4657, 6223, 412, 850, 4873, 2196, 9110, 10449, 6717, 7922, 2661, 465, 1127, 7555, 3498, 4612, 1572, 5011, 5177, 6794, 2320, 2057, 7869, 6652, 1209, 4646, 300, 10337, 62, 2426, 7809, 5051, 1790, 524, 4315, 4641, 7414, 271, 4724, 5712, 9007, 4794, 123, 4309, 9660, 9954, 9246, 9976, 2275, 9952, 6889, 1615, 2018, 2001, 10371, 1271, 9395, 1329, 6578, 8431, 8362, 3979, 8616, 129, 5269, 5564, 4548, 187, 1575, 179, 10290, 8305, 9173, 5804, 2930, 3250, 6868, 8354, 10086, 6018, 2933, 573, 9971, 9814, 2679, 5841, 9235, 5555, 9346, 3278, 7581, 8737, 6552, 4532, 36, 3737, 1755, 7780, 8027, 2533, 10, 9116, 4782, 4911, 7727, 5022, 8821, 2087, 3851, 3060, 4802, 3094, 8919, 5227, 4214, 4419, 10167, 508, 1545, 1698, 5980, 4916, 7541, 9741, 7298, 9385, 1021, 3414, 9951, 10031, 7475, 4486, 3701, 10189, 10284, 561, 7066, 7917, 2965, 1172, 9819, 71, 1847, 9330, 2707, 6067, 8831, 6962, 6703, 4671, 1820, 1782, 8399, 3089, 7360, 6742, 5661, 8569, 3178, 8166, 2450, 731, 877, 3479, 8422, 4725, 5896, 1157, 3023, 10129, 7889, 3906, 2859, 8528, 7987, 5819, 9022, 276, 6841, 1969, 8876, 7521, 4117, 6657, 6350, 8293, 3459, 7754, 5270, 1598, 8775, 4707, 7227, 4389, 2113, 8401, 2076, 7998, 3431, 2441, 1743, 5411, 6119, 6817, 7291, 7408, 9756, 4516, 1631, 170, 8538, 615, 8947, 8554, 3843, 8702, 1528, 10175, 1806, 3274, 1022, 1952, 2318, 4284, 9981, 2894, 1263, 5634, 7805, 8577, 7157, 2354, 4028, 2889, 9259, 9104, 10173, 7899, 9514, 5436, 9678, 8753, 10097, 409, 1609, 9470, 5550, 519, 3825, 2254, 10353, 639, 8406, 1803, 8943, 10111, 9769, 1289, 7618, 6614, 2828, 2848, 8276, 4199, 754, 8543, 4613, 3437, 3426, 5396, 3216, 132, 1039, 3969, 10416, 3409, 3343, 5952, 7716, 1230, 5302, 756, 8087, 1050, 1552, 8591, 1946, 8412, 920, 4395, 2387, 3967, 3225, 8862, 10362, 9694, 4349, 1523, 681, 9583, 3983, 3753, 9421, 2668, 6311, 4060, 2301, 6701, 1053, 9058, 394, 72, 10188, 9388, 2792, 3580, 9916, 6990, 4294, 8347, 8334, 9372, 7509, 9656, 10324, 5808, 7997, 6131, 5785, 3741, 9449, 7089, 8929, 4390, 4428, 5432, 10496, 5397, 2484, 554, 10168, 6434, 7344, 1726, 801, 6814, 8063, 1310, 2157, 2855, 5522, 7756, 10170, 7730, 1169, 8355, 2596, 520, 8257, 3598, 1792, 1069, 2247, 1635, 3481, 3863, 8357, 7041, 249, 6468, 9099, 3861, 66, 8033, 6180, 2924, 8069, 6263, 10018, 8328, 2446, 6195, 3393, 5713, 7083, 3631, 1221, 7725, 1970, 2672, 6525, 5509, 3682, 10032, 5424, 6268, 3181, 6710, 6134, 8852, 970, 1464, 8630, 9625, 3640, 6671, 6020, 1887, 5404, 8658, 6519, 3239, 1673, 4102, 3004, 6341, 5680, 2452, 8586, 1097, 9065, 8889, 7215, 3916, 10394, 2782, 5017, 582, 10071, 3853, 1634, 1265, 2042, 6709, 3083, 9776, 5052, 5217, 8894, 7212, 8563, 9834, 3966, 6351, 7701, 8134, 9223, 5391, 3300, 7700, 10283, 5589, 6000, 2776, 5068, 1719, 2239, 4433, 7399, 6636, 3020, 10511, 1198, 5568, 7905, 2885, 10264, 1056, 2917, 250, 10510, 1928, 3855, 2133, 4805, 4792, 6646, 5058, 239, 9117, 2539, 4667, 4340, 358, 3848, 9112, 7263, 5235, 7259, 784, 5716, 3859, 8438, 3330, 3506, 5448, 9698, 3204, 383, 3746, 4109, 4170, 4660, 3671, 7604, 3915, 7297, 2209, 1535, 8216, 6088, 9471, 10351, 8706, 3913, 1410, 7028, 6746, 9820, 6569, 227, 5373, 2799, 1926, 5524, 7105, 6604, 957, 8606, 6183, 753, 10148, 2147, 5208, 5640, 8504, 7995, 10377, 4039, 7486, 2966, 1759, 679, 666, 5242, 5437, 515, 10155, 1897, 7692, 9782, 7392, 7378, 3709, 5776, 10013, 7914, 715, 5870, 3978, 10444, 5299, 1185, 10066, 4451, 7282, 2293, 1498, 5594, 905, 1534, 6017, 5561, 4611, 5573, 6408, 171, 9019, 8657, 3881, 5272, 3401, 3260, 29, 4900, 1580, 1540, 4476, 7590, 6328, 360, 3536, 8626, 7081, 7415, 8393, 4277, 9546, 5406, 5797, 8585, 4159, 691, 6483, 10270, 4939, 6260, 5283, 7190, 4016, 6080, 9433, 10395, 10208, 2093, 10468, 10433, 7188, 8407, 2212, 7772, 3662, 4815, 289, 157, 1526, 872, 3131, 5758, 9309, 4556, 7402, 7113, 2326, 5593, 3938, 3940, 115, 7153, 7133, 9294, 800, 8973, 8668, 8570, 3800, 9704, 890, 5701, 7929, 1894, 6459, 770, 698, 9512, 10257, 6966, 9533, 9551, 3957, 1517, 3425, 5172, 8080, 9310, 2225, 6314, 6587, 2726, 6959, 1160, 8096, 5127, 8649, 3573, 4749, 7384, 6955, 5315, 100, 5342, 723, 7526, 2590, 8814, 6393, 2468, 7595, 6913, 3912, 9611, 3650, 7806, 97, 8766, 7741, 3337, 7572, 2715, 7904, 9354, 1003, 5097, 7662, 8798, 6957, 2408, 9144, 6105, 3798, 7856, 9394, 7483, 5198, 1576, 10387, 5890, 5604, 7336, 4035, 9825, 8816, 5998, 2294, 9959, 2946, 4713, 812, 8791, 240, 10196, 1515, 10045, 3527, 5657, 8991, 6361, 293, 10217, 7328, 9105, 10489, 8439, 3965, 7706, 664, 9835, 8830, 8817, 7420, 9120, 2459, 3102, 9237, 1153, 4688, 5615, 6219, 9267, 9989, 1468, 4328, 1044, 852, 7638, 8907, 2479, 1739, 1278, 6641, 5642, 1774, 813, 7994, 4977, 8381, 198, 287, 6562, 616, 5662, 7907, 9547, 3227, 5506, 4429, 8704, 3256, 4948, 10274, 6953, 1010, 5714, 5468, 6182, 4037, 5945, 2581, 9938, 7183, 9877, 5606, 2458, 1348, 10130, 5173, 167, 5667, 4530, 6244, 10203, 6511, 6266, 9909, 4592, 10184, 6539, 2192, 8495, 7589, 7437, 5435, 7016, 7718, 2897, 2336, 1864, 1384, 964, 3549, 7355, 3620, 9316, 10529, 6855, 5814, 9490, 10451, 1684, 10072, 1967, 3528, 3031, 6579, 2701, 1096, 7, 8857, 1561, 6367, 3681, 1164, 209, 2193, 3399, 2753, 7469, 5479, 3044, 7308, 8955, 5840, 450, 5914, 3802, 8203, 5048, 7307, 3136, 9269, 2472, 8172, 10053, 7549, 8518, 8828, 4190, 9100, 2851, 8493, 6910, 9655, 6245, 7175, 6422, 5889, 8246, 6621, 6921, 6403, 1462, 2766, 7007, 4047, 8207, 9509, 8782, 1941, 5787, 4161, 4631, 9746, 1180, 4076, 9801, 3950, 6410, 210, 4865, 8408, 3457, 161, 5008, 882, 3088, 3888, 4341, 1286, 2128, 1919, 7674, 9460, 9032, 10267, 9726, 3883, 267, 8132, 9338, 10126, 1059, 4715, 8742, 10287, 5452, 1861, 1101, 1956, 350, 6460, 7557, 8777, 8184, 8379, 6784, 8384, 956, 714, 2675, 7937, 2597, 7403, 7354, 2947, 1246, 9709, 9996, 7380, 2852, 3493, 986, 7320, 3246, 1857, 8005, 7092, 3668, 2079, 8970, 2957, 5736, 9123, 5392, 7602, 8163, 4825, 1961, 2005, 8410, 6743, 8665, 10179, 8158, 2483, 3402, 2578, 4703, 4468, 10323, 8467, 6793, 8832, 151, 8144, 10151, 6967, 9871, 8892, 2664, 6076, 9317, 3133, 5339, 7708, 8060, 1745, 7073, 4027, 2755, 1964, 6277, 783, 8568, 9244, 6302, 10211, 9810, 1898, 7224, 9684, 5666, 3392, 8268, 6594, 10209, 1015, 9534, 5499, 3795, 6877, 7561, 4358, 9030, 7471, 8708, 7748, 4243, 10082, 3388, 1313, 5675, 2287, 794, 3168, 3120, 7426, 4066, 5681, 929, 2714, 5676, 3448, 9493, 6026, 6632, 9025, 9427, 6306, 9925, 5966, 2514, 2111, 1019, 5996, 7886, 10467, 4068, 9066, 4279, 4596, 8540, 1957, 7136, 8483, 3148, 5140, 6170, 534, 9366, 4041, 9985, 2304, 8248, 3734, 8187, 9268, 5851, 993, 3253, 1906, 6943, 7342, 7232, 5735, 7663, 2175, 2141, 6337, 6292, 4694, 4932, 4311, 7373, 4133, 3656, 3572, 5232, 5659, 9944, 3953, 4494, 9242, 8337, 6075, 8468, 7740, 1891, 5843, 7303, 10017, 48, 270, 8535, 3160, 545, 5717, 4881, 1177, 1452, 9771, 3924, 6238, 429, 2463, 7506, 10107, 6178, 112, 1923, 5291, 9888, 4067, 9284, 2187, 9375, 2156, 2455, 2934, 1937, 5582, 427, 2500, 4824, 3725, 8025, 10213, 226, 3618, 2544, 9993, 8592, 1270, 9930, 7036, 4767, 7516, 1548, 2496, 496, 7109, 2551, 5928, 1032, 2088, 4245, 1413, 6135, 2172, 2478, 5813, 1248, 5029, 982, 4739, 8690, 1, 9501, 1692, 10259, 1590, 10150, 3319, 777, 6437, 7891, 6033, 8647, 9409, 1151, 9311, 8036, 4726, 1655, 8578, 7733, 3696, 4595, 5389, 8383, 3583, 9513, 8017, 3617, 3776, 4849, 2160, 8631, 4248, 2575, 9397, 701, 2869, 9151, 6343, 2021, 9313, 1356, 4285, 8155, 7326, 7376, 7742, 8899, 1907, 10453, 6221, 5576, 7262, 1975, 4477, 7875, 3609, 4662, 3332, 9525, 4791, 6046, 9899, 1682, 5700, 8176, 402, 7797, 7412, 925, 3121, 431, 6029, 4533, 6708, 9148, 2121, 4651, 7202, 4526, 5218, 5559, 6804, 32, 1746, 8589, 9986, 9689, 6935, 1407, 3678, 7582, 628, 173, 158, 7945, 9978, 10120, 4455, 4886, 1542, 5580, 3941, 296, 9000, 1250, 7763, 10147, 3531, 9733, 4817, 9970, 1518, 213, 6759, 2262, 8733, 7788, 9456, 3212, 9424, 8250, 2598, 4763, 8560, 3992, 7703, 741, 1507, 7071, 3281, 185, 3820, 3017, 7702, 5211, 9389, 2796, 5380, 4918, 5152, 257, 4747, 8751, 4096, 846, 6799, 5723, 2705, 4610, 2570, 2816, 4098, 9762, 5835, 1268, 3824, 7775, 4813, 8022, 5071, 2453, 369, 8553, 9106, 3203, 952, 2295, 6984, 9579, 2167, 859, 9400, 99, 10386, 4168, 10343, 10426, 8871, 4093, 7295, 5076, 2673, 7840, 2692, 463, 133, 6124, 10098, 3325, 10079, 9828, 7446, 1727, 722, 6665, 4058, 1142, 1850, 9009, 2557, 9679, 229, 10067, 9686, 2646, 2095, 2052, 5704, 4306, 2643, 9365, 8091, 4584, 5138, 6618, 1994, 2421, 5816, 6042, 693, 11, 6602, 1649, 2614, 4378, 7455, 689, 9415, 902, 3487, 9156, 3412, 3153, 7317, 2208, 2302, 4687, 3169, 2178, 8566, 2719, 4665, 1676, 9140, 4005, 10407, 9086, 8600, 10405, 8266, 3335, 9885, 7896, 4882, 135, 5590, 2347, 8927, 7082, 7682, 7012, 4149, 8836, 6600, 1983, 8619, 2617, 2041, 5207, 8710, 3018, 4208, 6840, 1997, 2207, 1873, 6555, 5087, 6909, 10354, 10074, 5696, 5739, 343, 2825, 6973, 5946, 705, 177, 3073, 6190, 737, 2887, 2742, 3154, 2238, 7560, 6484, 1048, 8840, 8143, 9192, 4110, 1630, 1208, 6122, 7883, 5036, 2378, 4304, 10035, 1005, 7849, 4231, 10024, 1257, 8262, 10131, 2135, 843, 3180, 1859, 5872, 5316, 322, 5494, 4112, 5941, 8288, 5790, 5622, 1560, 8803, 7498, 5688, 9839, 2409, 10197, 5329, 5183, 3177, 1912, 7132, 3232, 8479, 308, 6275, 9977, 10424, 10048, 9857, 9164, 7148, 2567, 2309, 10400, 1295, 2118, 9555, 5647, 7300, 3122, 2312, 840, 5085, 1536, 6689, 8723, 6205, 2974, 8350, 6070, 2257, 6246, 9675, 2127, 1733, 9146, 3856, 8476, 6687, 2937, 1033, 8676, 6648, 4053, 1587, 622, 2943, 7607, 1135, 6761, 5348, 484, 9665, 1626, 9800, 9664, 8291, 3406, 623, 8620, 6947, 2914, 9504, 2758, 8318, 2244, 2177, 2352, 7966, 10277, 5942, 10465, 6071, 2083, 3985, 7180, 7873, 4691, 2960, 188, 6077, 1760, 8327, 9145, 3055, 4618, 4334, 7114, 7969, 8696, 3496, 1111, 8835, 6521, 5591, 1947, 9683, 9990, 4788, 42, 9026, 2228, 4560, 9872, 10441, 5626, 8725, 4087, 4760, 9948, 9463, 2189, 1285, 6149, 1513, 7785, 114, 8932, 8972, 1538, 3061, 776, 1754, 6411, 4987, 3842, 7855, 2769, 2322, 2542, 4582, 7424, 3756, 6596, 1377, 5498, 59, 7332, 6385, 9076, 2866, 6619, 3368, 8632, 10231, 7530, 5371, 301, 874, 8912, 9261, 7476, 8065, 6501, 609, 917, 8150, 7658, 3599, 9541, 3720, 2794, 1977, 4781, 9220, 1647, 4182, 2740, 555, 5718, 516, 1023, 7499, 6250, 2071, 3041, 4183, 1159, 7850, 2492, 3080, 2657, 9045, 1231, 1629, 7836, 3524, 7562, 9305, 2721, 3920, 4288, 3976, 5046, 7946, 1612, 6002, 3141, 2223, 10180, 7817, 4406, 7060, 6492, 5481, 7670, 9587, 6391, 2788, 7127, 5728, 919, 1856, 8605, 6442, 8477, 5184, 8683, 9258, 5989, 1942, 1474, 7924, 1454, 4978, 8990, 5044, 2814, 8264, 2722, 8114, 3273, 1216, 9232, 6053, 2893, 1365, 4862, 773, 2180, 5444, 2012, 3554, 8403, 9263, 5670, 10391, 4379, 5257, 283, 3124, 5322, 1049, 6310, 7821, 6236, 9863, 985, 8713, 2126, 1689, 6257, 9613, 6510, 6409, 9127, 5927, 3994, 445, 9188, 6005, 4342, 2487, 2170, 4604, 7428, 2547, 7473, 2298, 5903, 3876, 4458, 6298, 5016, 3277, 121, 3223, 9080, 3792, 8178, 3194, 3382, 191, 7538, 1085, 6093, 5169, 10128, 7942, 4292, 7014, 8182, 6028, 643, 3840, 2832, 4793, 4649, 10452, 7894, 8118, 2964, 6296, 8073, 2735, 6996, 5730, 1087, 10411, 9203, 1445, 2182, 1422, 6531, 9593, 4544, 8732, 5055, 7178, 9578, 4410, 2356, 6681, 54, 7046, 4135, 2103, 3510, 7138, 8360, 6215, 4923, 3740, 8487, 1386, 4137, 418, 9491, 1058, 9720, 2681, 454, 8939, 8617, 4686, 3697, 2606, 3053, 5265, 7257, 4119, 102, 3928, 4438, 1751, 2281, 5288, 273, 5824, 7169, 7347, 8780, 10092, 8590, 2110, 10516, 9347, 951, 336, 7603, 7302, 2033, 1636, 3068, 10338, 4541, 5301, 5574, 3224, 10177, 9012, 6453, 5037, 6952, 6395, 7264, 2647, 636, 1389, 2837, 4181, 3389, 5754, 8618, 7580, 8503, 3693, 9921, 2245, 3097, 2653, 8343, 9669, 7570, 4431, 10506, 7377, 8749, 8655, 2045, 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3613, 4985, 5444, 6682, 1570, 6697, 1059, 2072, 8308, 10298, 7176, 2797, 7461, 5338, 5132, 5011, 6383, 5049, 6270, 8378, 7648, 6107, 6686, 7033, 7374, 1306, 3261, 10089, 2918, 8195, 6918, 10049, 10261, 2843, 3719, 288, 9121, 10472, 9082, 9055, 5368, 5027, 1952, 2416, 8632, 9132, 8918, 2290, 5196, 2946, 4236, 6259, 6145, 1725, 2155, 5979, 8946, 6620, 4049, 3215, 997, 9320, 7393, 1722, 3901, 5530, 9689, 7239, 8300, 6727, 6636, 311, 8331, 2630, 590, 8384, 7619, 3166, 2158, 1935, 8608, 1500, 5539, 6840, 8673, 4677, 10269, 9294, 159, 3304, 7104, 2822, 6526, 1640, 6329, 7136, 7192, 1408, 6957, 3909, 7915, 5001, 3397, 5879, 2575, 4484, 3551, 8345, 7356, 6271, 1969, 8458, 9015, 4801, 10278, 2157, 2037, 9961, 160, 2499, 3233, 592, 5461, 792, 4011, 6219, 9179, 4154, 2280, 860, 6246, 2153, 6500, 1450, 10008, 2446, 2181, 1410, 2414, 9696, 5221, 2752, 7095, 7823, 3360, 2461, 4228, 1376, 4716, 3337, 2248, 7087, 713, 3523, 4875, 7678, 9269, 9602, 7201, 5323, 7571, 8317, 8380, 1729, 10321, 4015, 3011, 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7395, 2680, 5428, 8494, 4488, 3924, 8298, 4641, 8687, 6715, 7296, 1332, 5623, 3830, 7646, 7791, 588, 2721, 1797, 4373, 4727, 6817, 7102, 4916, 8477, 8042, 561, 8545, 3052, 6190, 5346, 6844, 6597, 9690, 4468, 8613, 4726, 4526, 9384, 82, 5007, 4310, 7516, 9941, 3751, 3433, 5135, 5038, 1869, 3323, 2135, 3814, 3811, 9206, 5146, 9685, 3066, 4707, 5351, 954, 8981, 6123, 3583, 3580, 6650, 9183, 4254, 10137, 2385, 8802, 9170, 6278, 9149, 5697, 5809, 7775, 3341, 3890, 9614, 5179, 5345, 7256, 7686, 9480, 8514, 753, 6667, 3250, 6030, 1606, 1774, 1995, 1674, 3457, 5343, 749, 7718, 3743, 3422, 6886, 5004, 7494, 6212, 8491, 5950, 3016, 7260, 4398, 7236, 6208, 7577, 459, 445, 3837, 2273, 2208, 4073, 1116, 8595, 10028, 4293, 473, 1658, 2004, 4651, 3415, 62, 10018, 1714, 3138, 454, 8184, 2347, 8873, 5093, 9949, 6314, 324, 6912, 3485, 2331, 4537, 7347, 1331, 7609, 7708, 2094, 4710, 7839, 7282, 1632, 5952, 3812, 1676, 3356, 638, 1897, 8194, 1193, 10494, 4931, 10365, 6092, 6862, 4479, 1268, 3777, 7580, 5650, 2709, 6032, 5210, 1536, 9924, 8270, 7270, 7329, 3235, 9248, 10157, 3584, 2342, 2987, 6225, 8859, 4290, 4492, 7080, 9380, 7658, 4630, 7183, 222, 1575, 8838, 2249, 8276, 1211, 7162, 6824, 7739, 9239, 5200, 10461, 5440, 3189, 854, 5545, 6585, 306, 7222, 5455, 8904, 3904, 193, 4779, 8590, 8661, 896, 2830, 4226, 6498, 74, 7734, 1596, 6178, 2532, 10196, 3082, 2896, 8287, 809, 931, 5312, 1708, 1883, 5064, 4330, 1175, 7013, 8070, 5855, 2253, 5178, 8367, 8321, 4736, 365, 3720, 3216, 5349, 1237, 6477, 5980, 4549, 1140, 6655, 882, 4355, 3023, 9715, 2792, 10043, 3273, 1907, 2693, 1207, 9129, 3661, 7964, 8254, 8034, 4689, 9124, 3452, 751, 4336, 5475, 7446, 4987, 2888, 8015, 10415, 2841, 2863, 3125, 6095, 3996, 3816, 6223, 4390, 2517, 1325, 1751, 6422, 255, 6395, 3228, 4359, 7263, 1396, 3353, 2947, 8947, 4071, 8051, 5770, 5235, 8410, 1142, 1961, 2350, 2751, 1639, 2151, 4961, 8382, 506, 2017, 7051, 8077, 7207, 3462, 415, 6919, 10342, 8400, 3039, 1974, 7813, 1493, 4898, 80, 9880, 2738, 9613, 8941, 1089, 8123, 10393, 6025, 7766, 898, 9768, 5686, 3432, 10502, 765, 7129, 1956, 6202, 8374, 7693, 7048, 7773, 788, 5897, 8032, 1527, 9964, 7599, 10098, 3232, 8748, 2591, 10326, 7812, 5641, 10429, 5083, 9512, 176, 5154, 6313, 3684, 6898, 5560, 1243, 3729, 9184, 5775, 8121, 2109, 1587, 2967, 9369, 9938, 1592, 5161, 4871, 8740, 4712, 1310, 7471, 3690, 3354, 7726, 2125, 7952, 6816, 9276, 8945, 294, 9301, 169, 6328, 1802, 2119, 709, 4356, 3316, 3199, 7479, 3703, 2933, 6084, 71, 5110, 1395, 10390, 9738, 3318, 4518, 1594, 4405, 3839, 9648, 7113, 9564, 10509, 3804, 7887, 6027, 7713, 1882, 10311, 6355, 9561, 7043, 5303, 678, 8925, 7125, 8523, 7999, 10253, 9658, 3733, 8040, 3251, 2720, 9778, 8535, 3638, 8495, 2426, 7948, 4166, 4504, 2029, 1015, 1830, 4391, 3407, 5637, 309, 866, 9606, 10462, 6343, 1060, 7284, 7891, 6102, 10480, 2057, 5255, 3260, 9572, 7130, 2774, 10053, 807, 6474, 10248, 10518, 4857, 5662, 7085, 3264, 3247, 4107, 1067, 7863, 2463, 2609, 1550, 9147, 6899, 3127, 5131, 2705, 4203, 6861, 9593, 8875, 9334, 5661, 7392, 5644, 4351, 3048, 2775, 6515, 4065, 3057, 36, 3129, 7318, 4793, 5224, 2459, 9303, 7462, 5996, 366, 6501, 5712, 2523, 7544, 6482, 937, 7603, 5827, 7451, 9900, 8283, 5488, 6375, 10470, 1524, 4659, 6237, 5826, 8973, 3633, 8666, 4224, 4514, 2298, 6342, 3330, 8, 4835, 9893, 10459, 3024, 8062, 1250, 877, 2949, 10292, 1610, 1034, 2541, 2073, 528, 2365, 4354, 3244, 9128, 458, 10313, 84, 1954, 10445, 5173, 8730, 1031, 999, 5157, 2950, 1291, 6773, 9622, 242, 1485, 18, 1828, 8680, 5250, 6215, 4852, 7096, 6096, 3969, 4001, 7947, 8438, 5993, 4040, 6785, 1445, 4030, 7094, 7305, 10226, 3603, 4781, 9914, 5096, 8627, 4888, 8562, 7426, 8430, 2757, 991, 8695, 8048, 4443, 2493, 7586, 1329, 9202, 8429, 7152, 8143, 4989, 46, 8186, 7396, 9770, 943, 6127, 9872, 2041, 5799, 1010, 307, 10025, 6558, 92, 9665, 3964, 3788, 2907, 6458, 6803, 548, 9841, 5646, 5126, 6412, 4190, 7190, 9866, 9902, 7348, 3919, 8570, 2344, 3484, 7480, 8306, 8003, 2112, 1458, 194, 3942, 2411, 4717, 9555, 4133, 7310, 2666, 493, 7914, 10019, 1941, 2149, 4739, 2274, 4335, 8342, 4768, 5789, 1874, 4543, 5220, 3995, 5888, 1417, 8865, 8630, 2977, 10093, 7744, 2270, 3249, 8983, 6552, 8557, 9497, 2726, 6711, 4773, 871, 3248, 9650, 7886, 6075, 3394, 1520, 5501, 3001, 7234, 9533, 5675, 6124, 6267, 3436, 1776, 7413, 533, 9736, 9856, 5622, 8950, 4786, 8536, 998, 7659, 6889, 3455, 351, 7888, 9103, 8309, 8846, 899, 8273, 9191, 1033, 8817, 2779, 9196, 6853, 7918, 7297, 6487, 113, 1039, 8289, 10281, 5951, 8698, 4470, 2340, 5836, 9223, 383, 3281, 10220, 8234, 1440, 7515, 10212, 3815, 3742, 7230, 3507, 9609, 7637, 8600, 2898, 2221, 3576, 5611, 3468, 5166, 8561, 3428, 4043, 8782, 1260, 392, 3514, 6068, 3426, 6605, 1017, 88, 9315, 1782, 7892, 881, 667, 2566, 444, 5148, 5408, 2165, 3089, 3163, 3855, 1699, 3882, 10005, 8726, 1510, 8464, 217, 5885, 9692, 5257, 4248, 6643, 3636, 2953, 848, 5762, 8058, 2533, 9967, 8506, 1457, 9422, 1466, 5242, 1073, 2444, 4299, 4410, 660, 5889, 754, 5404, 10357, 265, 9221, 5037, 9024, 1044, 1252, 8937, 9535, 1380, 8026, 9268, 7568, 1992, 6698, 2006, 3027, 5214, 8540, 10051, 2818, 4837, 5377, 10020, 8650, 6415, 5464, 1087, 9245, 5098, 6934, 5911, 2870, 4145, 8552, 2222, 3558, 2276, 5567, 3086, 10159, 5840, 7837, 6940, 10096, 10284, 10117, 10439, 7261, 5277, 10277, 9549, 339, 2632, 2180, 5497, 1403, 4611, 9209, 2462, 6106, 1766, 4032, 5566, 7014, 2018, 2478, 5859, 5186, 1532, 6250, 4964, 2895, 815, 3446, 7738, 8221, 8860, 10245, 140, 718, 1239, 2678, 5747, 510, 5671, 357, 9465, 10264, 5587, 1219, 9910, 3549, 4119, 8876, 1439, 4452, 7574, 9394, 4536, 3472, 5489, 4465, 4996, 1352, 6794, 4085, 9859, 1276, 3567, 9358, 2531, 10122, 1914, 3124, 2132, 5586, 4440, 2635, 1600, 7367, 8166, 9792, 719, 6873, 9327, 4381, 8327, 4554, 3566, 8712, 2879, 5982, 2945, 1665, 1754, 4949, 5634, 9921, 5819, 4527, 3949, 6033, 6065, 6143, 63, 486, 4153, 10348, 2215, 8691, 6369, 9139, 2748, 6625, 7677, 5805, 1972, 947, 1624, 3778, 1835, 8547, 8986, 10050, 1965, 4634, 2421, 4193, 531, 9611, 341, 9466, 6442, 1638, 1094, 10268, 4496, 7028, 693, 8478, 3934, 5754, 5414, 5261, 10057, 2585, 1583, 4956, 9022, 7943, 10500, 4129, 132, 4774, 8909, 1678, 5647, 6417, 1459, 7029, 1982, 6970, 2272, 9391, 8684, 7629, 7324, 7905, 7798, 4915, 1889, 3375, 3389, 2704, 1720, 10073, 2492, 9106, 9423, 2068, 4323, 3575, 4782, 2032, 7442, 3939, 5066, 8952, 8689, 5931, 2865, 5177, 9838, 2920, 8935, 4219, 6088, 8093, 8124, 9750, 4202, 5149, 7814, 2008, 8246, 855, 1773, 4990, 8992, 2686, 4755, 7728, 8079, 1799, 7980, 879, 4436, 4171, 1338, 3412, 7681, 9112, 5913, 7909, 10236, 2170, 7110, 7712, 4064, 1024, 4374, 2313, 3586, 5509, 1620, 3481, 5541, 2546, 10398, 175, 9717, 6691, 6323, 9869, 8723, 4197, 1384, 6687, 2346, 769, 32, 4152, 3906, 7531, 10031, 7161, 9839, 3925, 488, 2097, 2809, 776, 1363, 8984, 4184, 4593, 5360, 8919, 5467, 4503, 2267, 3928, 939, 300, 1372, 9193, 4865, 3785, 2845, 7588, 5778, 4754, 3526, 6399, 9143, 1576, 8113, 8337, 4028, 1925, 9772, 9068, 189, 3892, 2713, 9302, 831, 2913, 9966, 10350, 2733, 6908, 4548, 4789, 2325, 1700, 1552, 3489, 8190, 847, 8017, 560, 8968, 763, 7134, 9608, 7585, 9493, 4385, 2192, 6333, 8087, 10347, 6372, 1783, 8729, 7388, 7258, 7031, 9150, 8553, 8739, 633, 977, 6756, 3807, 2219, 2685, 1887, 9581, 3643, 9990, 1093, 1226, 7673, 505, 2853, 6074, 2464, 1930, 1948, 7070, 7903, 6644, 7090, 6764, 6559, 4759, 10411, 1315, 167, 482, 1741, 7828, 2409, 3269, 1323, 9141, 5674, 2600, 2441, 1618, 5656, 2137, 6299, 8559, 4937, 7067, 5550, 10514, 2812, 8119, 8127, 4006, 3425, 5207, 4579, 9019, 9813, 9162, 621, 1037, 9359, 10105, 7047, 9826, 4341, 9478, 4621, 4031, 551, 10166, 10431, 6000, 4416, 10033, 6320, 1872, 8999, 9804, 8165, 6759, 2952, 1230, 5055, 7850, 1065, 10468, 4246, 4007, 1998, 1947, 1633, 6326, 10329, 1134, 7987, 471, 3727, 4066, 7554, 2518, 6003, 4368, 4886, 9970, 7443, 3159, 7452, 695, 4142, 8014, 9926, 3825, 2439, 6720, 4685, 6005, 153, 9808, 6017, 6924, 7640, 2089, 996, 10186, 6591, 2646, 10216, 5493, 120, 9260, 3196, 8899, 1273, 3915, 1893, 2707, 2617, 388, 3503, 5331, 2291, 9454, 6588, 10274, 619, 4558, 3933, 5964, 1430, 9180, 449, 3183, 720, 3982, 9247, 535, 1487, 6737, 5085, 5226, 9525, 9718, 1803, 3963, 2338, 393, 3543, 7487, 10065, 5003, 8929, 1118, 4565, 9253, 1649, 4930, 8092, 6217, 40, 5045, 6962, 8777, 10355, 2494, 5722, 9543, 1371, 6922, 6470, 8913, 8244, 4046, 1088, 1432, 9175, 3073, 150, 8785, 8965, 7541, 10148, 8874, 10110, 9610, 10315, 7400, 6729, 101, 5392, 984, 7196, 3534, 6834, 932, 4196, 7868, 2642, 10414, 8646, 149, 9765, 2220, 9490, 5736, 1569, 373, 3460, 3932, 2639, 1019, 9997, 2139, 6609, 8603, 9427, 5811, 1866, 2789, 9833, 8611, 1435, 646, 10371, 6231, 4799, 1944, 9379, 6998, 1875, 460, 512, 66, 9604, 7375, 4422, 298, 8341, 6455, 2388, 431, 2023, 7534, 3793, 7894, 692, 6726, 7112, 9039, 10026, 2469, 2489, 8462, 3972, 5605, 2474, 10318, 1126, 10403, 8423, 8696, 4062, 4842, 5091, 6380, 4292, 4643, 3350, 202, 3706, 165, 10428, 3182, 3103, 1478, 8126, 4872, 9065, 1124, 7205, 688, 5050, 826, 254, 1368, 7549, 2163, 10316, 7226, 8010, 4280, 6746, 6801, 978, 6988, 1388, 2810, 783, 3053, 9218, 1953, 2247, 1950, 5449, 9677, 10420, 9010, 927, 3087, 241, 8885, 7018, 7848, 2250, 2703, 7187, 3782, 10422, 9985, 8648, 1988, 6176, 6307, 3137, 6883, 7121, 9755, 6668, 2875, 637, 6648, 1744, 1165, 6766, 9642, 6592, 3903, 1449, 4083, 1235, 3286, 3473, 1542, 1938, 1335, 2508, 2739, 364, 2242, 7751, 1234, 5175, 8721, 476, 1447, 9084, 816, 4713, 3847, 7959, 8706, 5629, 1727, 1862, 5018, 2627, 9876, 9361, 6483, 1713, 6722, 4576, 5000, 8808, 10176, 480, 7157, 9484, 3918, 8974, 5470, 9556, 7016, 9636, 197, 6640, 8560, 8845, 1677, 50, 6302, 9251, 7512, 5594, 7831, 4509, 4095, 4743, 677, 6418, 2620, 4474, 2954, 1837, 6476, 4680, 5499, 2030, 629, 9243, 81, 8129, 3532, 8407, 9598, 3106, 7787, 8665, 8199, 1182, 3263, 1735, 5702, 7724, 1804, 2516, 3459, 4725, 10092, 1492, 6555, 959, 4657, 6818, 3966, 727, 5769, 10219, 8532, 3140, 1895, 3441, 1870, 1497, 8209, 3859, 1084, 4332, 5891, 7694, 5047, 4461, 7377, 3922, 1393, 2864, 5459, 8170, 6236, 4530, 7331, 9023, 9790, 7474, 4684, 1529, 6137, 8880, 6553, 7065, 3582, 2764, 7536, 3992, 5123, 8307, 7061, 8759, 523, 7594, 6560, 5973, 7287, 9271, 10067, 8076, 9787, 4476, 3895, 6658, 3655, 9432, 8690, 7945, 2582, 4895, 9669, 3236, 5080, 9036, 6241, 4328, 7097, 658, 2467, 6296, 3218, 9686, 5390, 2570, 4608, 6511, 3659, 8020, 1420, 3099, 7545, 7671, 8233, 4767, 3059, 7350, 5327, 9952, 4344, 5761, 9409, 7041, 281, 5966, 172, 902, 2973, 6871, 536, 9270, 6593, 5479, 4298, 1227, 4756, 8396, 5316, 290, 2448, 1704, 8094, 3165, 7289, 6174, 4395, 10308, 8089, 9950, 8635, 1706, 4366, 10397, 8437, 3122, 7803, 6963, 2256, 6094, 1056, 9586, 4913, 9075, 7978, 10247, 1107, 6348, 9386, 6207, 9520, 4910, 2078, 3438, 9329, 243, 1553, 1634, 3663, 5124, 965, 1200, 10240, 2031, 7081, 4638, 6434, 7332, 10218, 3616, 4644, 6101, 5053, 8349, 1993, 1810, 6466, 6366, 7590, 9920, 8719, 6704, 1281, 295, 6931, 405, 9016, 5513, 3297, 1201, 8593, 1843, 9013, 1288, 6497, 9889, 2937, 4809, 2579, 4364, 3518, 9210, 5791, 5348, 6340, 4259, 8985, 3285, 403, 3687, 7177, 3967, 4887, 685, 7788, 2036, 3775, 1267, 8645, 10337, 6777, 8991, 9347, 9137, 7834, 8672, 8360, 8815, 3914, 4179, 8542, 4974, 1025, 1888, 5102, 10426, 8412, 3747, 5822, 4976, 6786, 10172, 10266, 8315, 1275, 4441, 4918, 3745, 8320, 10373, 139, 2608, 10356, 2964, 8274, 107, 6189, 7341, 2571, 6451, 1289, 5212, 4283, 4805, 8818, 2002, 7072, 1598, 9816, 9290, 6419, 8528, 6462, 1062, 4816, 4797, 10519, 5546, 1301, 5326, 4320, 4035, 5710, 930, 9144, 6019, 10079, 6079, 6838, 9435, 5134, 2842, 10508, 7542, 9651, 9916, 3500, 2502, 10380, 3617, 9014, 301, 6072, 4214, 1919, 421, 1344, 9693, 2054, 3766, 9105, 7364, 9052, 8971, 3611, 1121, 7655, 4082, 5695, 4719, 3070, 8990, 7379, 10406, 10184, 5332, 1565, 3088, 2395, 5492, 1077, 4157, 774, 3835, 3200, 10413, 5792, 9638, 7164, 314, 6055, 316, 653, 9456, 1422, 9542, 5939, 8620, 8821, 2231, 3497, 468, 8764, 2785, 4541, 591, 3630, 6244, 8141, 8994, 4751, 793, 9118, 1357, 812, 280, 6502, 6996, 983, 5844, 4599, 3429, 806, 2974, 1940, 6260, 7589, 2045, 7827, 8738, 3095, 7958, 8202, 4631, 7961, 10091, 4090, 1572, 5876, 6486, 802, 586, 518, 9304, 5660, 5788, 4211, 5009, 1343, 6961, 5815, 6269, 2205, 8676, 2939, 2996, 9502, 4508, 9554, 3246, 155, 4559, 790, 7352, 5072, 2985, 8621, 1811, 2268, 6741, 8361, 5347, 7676, 1236, 1906, 2649, 7644, 7849, 2687, 843, 2722, 8793, 6920, 1657, 5415, 10464, 8820, 3609, 6995, 3997, 8870, 8857, 5171, 6301, 7059, 2915, 8470, 8493, 2014, 7293, 9226, 3237, 7816, 10200, 3750, 6768, 3383, 5205, 798, 617, 9672, 890, 2457, 1340, 7690, 8322, 9249, 3006, 9503, 4357, 2244, 5554, 583, 4473, 85, 9250, 1204, 2799, 8774, 9963, 4413, 8140, 5388, 125, 3801, 9256, 647, 7272, 7806, 3654, 5453, 10003, 212, 10436, 42, 6735, 1158, 8749, 3040, 3627, 6760, 2324, 9005, 6944, 4625, 4394, 1915, 6731, 8175, 651, 8484, 4144, 9292, 7983, 5482, 1884, 5841, 1942, 9255, 2168, 7804, 1341, 1504, 1302, 348, 7172, 735, 5604, 3783, 2311, 30, 9875, 5438, 568, 7616, 7684, 4879, 4358, 4365, 8928, 10202, 9295, 7497, 1853, 3032, 7695, 2619, 2592, 5776, 5834, 6480, 1809, 4103, 7079, 5989, 4862, 2623, 5638, 9663, 6710, 6126, 9861, 8892, 1681, 8933, 2257, 7767, 4110, 10170, 6725, 1282, 7178, 6006, 1946, 9915, 3008, 640, 1122, 7133, 2430, 52, 1833, 6607, 9192, 5525, 6796, 4991, 716, 8504, 3502, 1856, 4042, 7039, 2293, 7799, 3625, 3732, 8617, 1295, 6700, 9860, 1020, 3175, 5700, 1106, 6158, 3763, 5198, 3033, 8834, 6602, 649, 8811, 3702, 8530, 7597, 404, 2169, 672, 7397, 6179, 8171, 4304, 5350, 5281, 3056, 4849, 5917, 5411, 942, 9857, 5361, 6136, 8508, 1667, 2314, 9597, 4023, 4121, 7358, 3362, 4935, 287, 3864, 1581, 61, 5372, 5165, 9072, 913, 2453, 4388, 4019, 1986, 1221, 3450, 4693, 3030, 9531, 6948, 2202, 3380, 9078, 6584, 4769, 7615, 1008, 4169, 2309, 4414, 5370, 9547, 7150, 9708, 9034, 6251, 585, 1103, 5254, 4818, 1151, 1379, 7267, 3993, 9747, 10135, 4891, 3831, 5621, 6365, 1254, 9968, 3217, 680, 96, 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2957, 6594, 8858, 422, 170, 2012, 2980, 5574, 556, 832, 616, 2266, 6649, 972, 3730, 6525, 5901, 4547, 2823, 3494, 9898, 4627, 1903, 7666, 9123, 9773, 5491, 9220, 3965, 8529, 9965, 921, 7723, 6809, 2140, 6284, 5010, 7985, 1465, 2968, 7809, 6855, 2849, 9284, 5520, 9429, 9217, 7158, 9703, 6034, 9654, 5252, 842, 7994, 4968, 7055, 99, 9088, 4360, 6821, 4459, 4850, 8046, 8507, 755, 7251, 8725, 6739, 2188, 9189, 2536, 3464, 496, 8631, 9349, 5074, 4582, 1167, 702, 9211, 945, 1894, 3806, 2450, 845, 9286, 6535, 4674, 247, 2760, 7311, 4997, 5523, 3536, 5269, 4406, 3220, 3374, 3201, 923, 4302, 1016, 7366, 10101, 6459, 7089, 6119, 5900, 4640, 10339, 6175, 4742, 8329, 3752, 7269, 2928, 8888, 8966, 6942, 7524, 2483, 3325, 1108, 6529, 9935, 4928, 5942, 7962, 4942, 1469, 2553, 5290, 2263, 7378, 8083, 10235, 319, 3191, 2908, 527, 10142, 4213, 8486, 8767, 3047, 5334, 7381, 5251, 6469, 191, 10434, 1117, 5573, 9049, 10206, 9472, 10128, 2936, 8389, 1685, 8906, 7679, 6549, 9600, 9842, 4933, 3780, 1318, 1074, 7851, 6983, 4216, 6641, 1623, 3369, 8652, 479, 1197, 2366, 9957, 9489, 8976, 2962, 7551, 2210, 9064, 3400, 9259, 1270, 7780, 9110, 5670, 7308, 1929, 1494, 9214, 3938, 6815, 2700, 5729, 7253, 3406, 2719, 632, 2695, 3833, 7138, 1859, 8241, 7225, 9402, 1807, 515, 1209, 4455, 4098, 1806, 1164, 467, 4491, 3115, 5928, 9225, 4970, 1474, 4070, 6324, 8021, 2437, 3622, 3971, 886, 7185, 10111, 2698, 10454, 2349, 3448, 413, 10314, 10062, 6937, 5635, 7878, 5056, 808, 4234, 3321, 1299, 3298, 45, 1050, 4602, 3635, 8364, 9185, 857, 4051, 9830, 3000, 6523, 9527, 187, 7199, 2379, 3231, 5264, 3483, 7583, 1489, 4191, 3134, 2476, 8257, 7244, 3571, 5452, 147, 7702, 129, 5337, 2505, 2855, 8534, 122, 687, 1279, 8579, 1456, 4957, 283, 8247, 2873, 8142, 1313, 5793, 6566, 4099, 7427, 3683, 4798, 6151, 2759, 6541, 10181, 8238, 1845, 3999, 4721, 4853, 7249, 7656, 2345, 1464, 2040, 372, 8251, 3760, 3957, 1484, 6618, 8285, 7050, 1534, 3015, 7675, 3101, 3561, 5413, 8626, 7250, 4841, 3076, 10052, 10156, 2003, 8576, 2889, 6, 2872, 9709, 10203, 10046, 8839, 794, 5906, 4932, 2284, 3275, 6414, 4261, 9483, 1348, 9445, 7238, 3403, 9734, 56, 2306, 9198, 9617, 1983, 2515, 4561, 8105, 1877, 2867, 3288, 7929, 2115, 885, 7124, 2021, 5075, 10190, 3698, 5084, 6229, 721, 6783, 7674, 4908, 3805, 5597, 9645, 9151, 6391, 8465, 5592, 9960, 6510, 8836, 9181, 8071, 8988, 7569, 5069, 6804, 4342, 8019, 7521, 6374, 2897, 9201, 6802, 8177, 8111, 785, 6222, 1336, 2304, 2144, 1934, 4384, 3762, 3728, 21, 3721, 3795, 1231, 1284, 3072, 9424, 5324, 8972, 9333, 5519, 8000, 1771, 6849, 230, 8377, 8189, 4081, 5005, 5741, 8775, 1026, 2906, 2528, 1675, 6454, 5561, 5798, 740, 9443, 7228, 7418, 4212, 8297, 4294, 4403, 5578, 2197, 6865, 1812, 7298, 6911, 6914, 1736, 2472, 3511, 2126, 960, 3674, 7514, 3119, 9463, 609, 2095, 3610, 1404, 3331, 907, 9195, 7333, 8720, 874, 9059, 7784, 7086, 5273, 9763, 2631, 8908, 2650, 2271, 2819, 8791, 635, 5766, 4311, 5465, 4594, 2716, 5865, 7895, 2035, 5421, 904, 4036, 9421, 1702, 5270, 6897, 2335, 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5717, 747, 5381, 2976, 671, 8240, 3231, 479, 5790, 9935, 4750, 4830, 1358, 4457, 6484, 2156, 2284, 2259, 6115, 8848, 5850, 548, 4516, 8420, 295, 8578, 4449, 8665, 6099, 5438, 3029, 7266, 6110, 3572, 846, 708, 8649, 3556, 3263, 888, 1041, 6454, 10071, 10349, 9833, 4620, 572, 8812, 563, 3612, 1578, 1963, 5137, 6148, 5211, 4405, 6603, 22, 5732, 720, 819, 1438, 2173, 9474, 2649, 2798, 6374, 5533, 10448, 2584, 7097, 8986, 6725, 850, 3034, 6552, 5111, 4132, 5663, 8411, 4200, 9671, 2538, 2278, 8993, 9527, 2272, 4996, 8083, 7260, 8500, 213, 7728, 584, 4042, 9555, 713, 8881, 4000, 8832, 5407, 2944, 9639, 2267, 8215, 4007, 6750, 5198, 9651, 8579, 1489, 3929, 1405, 8147, 2347, 8078, 5206, 1678, 4634, 809, 9175, 6063, 3452, 8860, 6809, 8465, 2786, 10068, 1665, 2626, 4369, 4079, 8787, 5062, 3473, 5057, 5763, 7462, 7313, 10084, 7707, 8535, 7500, 2776, 1513, 6620, 10283, 8201, 9955, 6753, 6228, 2149, 4756, 5414, 23, 1943, 7994, 2242, 3477, 3391, 10386, 7940, 1974, 3361, 7359, 4541, 3141, 3140, 2362, 7900, 5364, 8056, 5160, 1895, 8601, 6693, 4264, 6567, 1892, 4070, 1705, 6035, 7015, 4835, 9403, 6216, 4364, 3971, 3044, 6325, 686, 8850, 4115, 6522, 2533, 438, 1293, 1160, 263, 1557, 9169, 2223, 8662, 7090, 1636, 8540, 9103, 3978, 707, 9510, 4958, 4583, 2667, 5380, 9789, 9629, 9543, 7167, 2233, 2701, 6495, 6294, 7124, 6911, 8245, 6023, 1401, 3742, 9642, 7693, 8213, 9172, 1880, 1428, 6291, 10334, 6082, 9121, 6736, 3986, 10060, 3859, 927, 10197, 2097, 6808, 569, 3575, 4082, 9085, 9704, 1487, 5233, 1226, 7894, 3682, 1192, 10041, 5807, 1811, 157, 8980, 4453, 444, 3421, 8871, 3617, 3738, 7744, 10212, 8819, 9458, 3988, 834, 5114, 4989, 1809, 36, 1621, 7457, 7489, 774, 1390, 10367, 3992, 1967, 6320, 3358, 8414, 8090, 1088, 3017, 5482, 2305, 5903, 5776, 8503, 8028, 6020, 10518, 7290, 4321, 8991, 8467, 4335, 3840, 7187, 10241, 4428, 1492, 1374, 37, 7025, 6412, 127, 4609, 486, 8901, 3561, 6987, 6102, 6948, 7528, 923, 8128, 5555, 2862, 1839, 5251, 8194, 5652, 4060, 5041, 8553, 8419, 7105, 1111, 7726, 1009, 8699, 8747, 2964, 398, 10247, 6576, 8863, 6088, 8095, 9144, 5948, 9102, 3797, 5500, 966, 2956, 1459, 1493, 9202, 5588, 9793, 2514, 9100, 5527, 5143, 1326, 8142, 279, 1763, 1240, 7286, 7646, 9821, 5205, 2230, 481, 3765, 1391, 7961, 8377, 10369, 4406, 7392, 4225, 5962, 390, 2547, 2555, 299, 4937, 2713, 4788, 8072, 1850, 5421, 3439, 4456, 7243, 105, 8909, 8725, 4727, 5704, 4087, 9369, 8744, 4828, 8110, 5131, 6697, 9983, 9200, 69, 10248, 892, 9788, 6327, 6930, 10318, 4450, 1700, 4870, 6400, 5044, 8809, 6481, 8830, 9923, 910, 9760, 2528, 7605, 7433, 2717, 1741, 2824, 4715, 4110, 6079, 6348, 3724, 1651, 7241, 794, 9150, 3641, 2157, 2098, 5617, 7086, 9377, 864, 10452, 2248, 4065, 4437, 9668, 7846, 10018, 5560, 7490, 9160, 5736, 8251, 6487, 7606, 7558, 9168, 5909, 3874, 1194, 3812, 9936, 8690, 5956, 6565, 5487, 1115, 9219, 4877, 3908, 3093, 4239, 3858, 4647, 1759, 10528, 4312, 2515, 5164, 3826, 1188, 6673, 7277, 4530, 3483, 5003, 8165, 3051, 6426, 9233, 7103, 5565, 9761, 3630, 2653, 5257, 6630, 5529, 38, 8469, 4233, 4307, 8526, 4308, 297, 3639, 9870, 10169, 3486, 10228, 8045, 223, 2256, 7372, 1154, 5877, 4869, 7275, 2486, 7712, 3522, 9344, 8855, 2635, 5708, 3640, 5159, 30, 8751, 8496, 2591, 3411, 2996, 6072, 8335, 8037, 6985, 9025, 8899, 8486, 3633, 48, 8200, 5165, 3223, 4104, 3326, 5507, 745, 8675, 1729, 4934, 7571, 7909, 7910, 9235, 1650, 6048, 1620, 3687, 10193, 9974, 3834, 4684, 5577, 8171, 3543, 3695, 4398, 9847, 174, 7698, 4716, 2793, 6124, 237, 6570, 4356, 4923, 1822, 3647, 7723, 1169, 10232, 9817, 4074, 688, 195, 9401, 1801, 4352, 3736, 8111, 5315, 4006, 7461, 2483, 4824, 1093, 849, 2571, 9479, 3304, 8779, 8055, 7706, 5339, 3441, 2343, 9390, 2151, 2342, 4801, 6210, 6807, 886, 442, 328, 3583, 8580, 8015, 10074, 5731, 6301, 6322, 7870, 10339, 6605, 5281, 5493, 9976, 6189, 6371, 8187, 6975, 10401, 9679, 9675, 4928, 4252, 5190, 3222, 527, 8968, 829, 1364, 3775, 3351, 3791, 9940, 4059, 3116, 872, 6628, 1703, 9439, 10285, 5503, 6346, 9986, 6203, 6566, 526, 6279, 3395, 7342, 10516, 2295, 1613, 7200, 4838, 4601, 10404, 5224, 2158, 5801, 8372, 10157, 9056, 5580, 5029, 1838, 1987, 2498, 7046, 3166, 4286, 6626, 293, 2564, 8175, 3417, 9693, 9420, 6315, 1005, 4235, 9295, 8692, 7854, 8733, 5911, 5712, 2983, 1220, 9467, 3585, 6595, 7368, 3112, 2324, 10016, 2676, 1006, 1853, 355, 3746, 6998, 8529, 9132, 1535, 6615, 3518, 10099, 9854, 3162, 8046, 6298, 4652, 4782, 1714, 7429, 869, 247, 3716, 9918, 8416, 5095, 3883, 7365, 3039, 2982, 9734, 1196, 4811, 4878, 5702, 9849, 4275, 1977, 4424, 467, 9995, 9453, 2764, 5343, 3993, 2957, 386, 6942, 8512, 7166, 3989, 4402, 1474, 6614, 5481, 2901, 6742, 9158, 4092, 4863, 8276, 7995, 8939, 7484, 6868, 6650, 8188, 2477, 10030, 7138, 2131, 7753, 5052, 2646, 1453, 3062, 1566, 2920, 8219, 8119, 10455, 74, 8024, 5573, 4236, 10101, 2438, 5843, 4795, 1567, 1134, 8471, 5280, 4191, 1622, 5621, 3089, 9034, 5784, 587, 8527, 10027, 533, 630, 388, 2099, 5424, 6025, 7895, 5697, 2058, 8399, 8403, 3997, 208, 6970, 730, 7770, 4640, 8946, 4542, 8122, 8876, 5048, 5361, 2434, 6627, 5720, 8427, 880, 5628, 2109, 5522, 7546, 4771, 2082, 9684, 2175, 751, 9451, 7468, 3, 4783, 10177, 7609, 991, 5906, 9711, 2631, 8284, 4296, 545, 9597, 3479, 2809, 5922, 10515, 6275, 4954, 2784, 4983, 2283, 6851, 7575, 10481, 9483, 3185, 6443, 3001, 1680, 8694, 9247, 744, 3380, 3104, 10118, 1110, 7360, 4020, 5550, 1760, 4091, 1144, 3252, 3298, 525, 8393, 4479, 1316, 2298, 6167, 7751, 2086, 7813, 6598, 10057, 2368, 7732, 2572, 9606, 3369, 832, 5346, 9327, 9088, 8560, 7119, 1331, 75, 8768, 8680, 9508, 8716, 5283, 4602, 8168, 9461, 1661, 3144, 6386, 6415, 808, 5746, 4969, 5237, 5305, 2080, 7288, 5741, 10277, 5353, 2422, 7371, 6541, 9578, 1978, 3822, 3265, 9338, 4994, 4144, 10014, 353, 7882, 9356, 9686, 4320, 7005, 2244, 4836, 7297, 3430, 2603, 6311, 6092, 2833, 7107, 1201, 7396, 6172, 9714, 6785, 7255, 2805, 2386, 5601, 5861, 3018, 4345, 7232, 5928, 3197, 8352, 2401, 3855, 3544, 4301, 145, 7619, 3707, 8076, 9431, 5616, 5134, 1177, 3415, 7091, 8508, 2464, 1295, 3225, 10005, 2344, 9538, 10168, 6714, 2035, 1351, 9949, 1988, 5073, 5459, 7931, 602, 7724, 9739, 8678, 5302, 6629, 9477, 4376, 2198, 4754, 5976, 8220, 9570, 7330, 666, 7057, 4912, 639, 428, 2597, 5355, 8824, 3320, 5247, 1471, 4982, 8890, 4938, 605, 8898, 8005, 1458, 7663, 8661, 10238, 4899, 3854, 1175, 9604, 5030, 6178, 6842, 5422, 8012, 6122, 529, 6175, 8043, 3165, 8217, 5167, 9142, 5207, 2541, 10370, 9582, 4273, 8257, 2552, 9432, 8253, 7111, 8311, 606, 9092, 9392, 8566, 10469, 1232, 7189, 4852, 3224, 5028, 8822, 5072, 3712, 10158, 4814, 2124, 5105, 5803, 9566, 2141, 10052, 9346, 7944, 5678, 8693, 3435, 10377, 6262, 5795, 9171, 5705, 2436, 6302, 4660, 7058, 2210, 8468, 3877, 1519, 4475, 10275, 6406, 8266, 3046, 3793, 6200, 5942, 2670, 2625, 1775, 6843, 7448, 1083, 733, 10366, 5031, 780, 8463, 6922, 8408, 1928, 1300, 8574, 1953, 6811, 3443, 504, 5401, 9383, 7464, 7098, 5679, 2852, 477, 7062, 4595, 4178, 1454, 1903, 9061, 305, 4127, 1617, 5176, 1087, 9822, 3318, 10412, 1475, 3134, 1467, 4914, 10422, 1431, 8743, 4991, 158, 3078, 4843, 8764, 2651, 3235, 482, 1818, 10429, 2348, 8667, 7314, 1446, 9465, 8992, 1570, 1730, 2340, 7643, 581, 2949, 9122, 4328, 8814, 1975, 3060, 5306, 9470, 796, 7733, 7496, 7007, 1223, 1330, 8032, 9164, 3710, 8687, 6657, 5390, 2439, 3952, 10503, 2445, 3085, 6883, 10402, 10420, 861, 6269, 7391, 3946, 2, 5278, 8679, 2469, 1728, 8131, 3050, 7382, 724, 7320, 4786, 1157, 1404, 1444, 6756, 9180, 6403, 5332, 1835, 6551, 3753, 6303, 5546, 4749, 4759, 5358, 1631, 4521, 5753, 1457, 5182, 8263, 3731, 5435, 7768, 6444, 1127, 10100, 8196, 6075, 6939, 2446, 2161, 4793, 73, 8246, 5150, 3163, 3632, 6393, 4130, 7239, 3537, 9052, 20, 3228, 141, 2593, 3176, 7853, 5166, 1010, 4242, 5929, 5589, 8652, 6578, 1762, 1076, 4714, 5535, 10001, 4911, 1184, 7996, 811, 6211, 10294, 2418, 6525, 2725, 8381, 4770, 10343, 7084, 9226, 3364, 10322, 9224, 8524, 6062, 89, 954, 1744, 8532, 2490, 4161, 6938, 10490, 4429, 10138, 2320, 2518, 7495, 3766, 8509, 4480, 10308, 5191, 10362, 5739, 1840, 1605, 2546, 3259, 9680, 554, 8366, 315, 1857, 3059, 10398, 4731, 6702, 7245, 8645, 8070, 10070, 9723, 7287, 3387, 455, 883, 9696, 1301, 7300, 8355, 1263, 10033, 10479, 10125, 262, 8439, 9663, 1758, 8295, 7296, 9141, 6366, 1025, 9418, 10021, 6441, 2123, 8867, 3350, 6560, 17, 1254, 9605, 5982, 401, 990, 4636, 5742, 9051, 10350, 7956, 3770, 10223, 2093, 3071, 5541, 4592, 5050, 8530, 8717, 2038, 4256, 271, 2130, 3126, 5130, 9758, 104, 436, 9368, 8804, 4816, 8870, 1040, 2006, 7834, 10215, 2449, 10451, 1166, 8525, 2595, 2677, 851, 2456, 2000, 9581, 2818, 372, 2682, 7235, 2335, 1817, 1574, 7638, 6477, 6247, 4396, 2153, 1320, 6972, 6226, 2909, 2448, 2459, 4011, 6187, 9829, 9517, 3619, 3158, 1470, 3521, 3767, 8038, 8750, 1583, 2639, 3825, 4664, 2287, 2762, 757, 9929, 4691, 4253, 9882, 8875, 5174, 402, 7641, 3200, 7642, 696, 7809, 3276, 3184, 7385, 8021, 7943, 6748, 3151, 9336, 8447, 10049, 2013, 9110, 1872, 4290, 7794, 4198, 4246, 125, 10043, 516, 4700, 2176, 5349, 2877, 9518, 8799, 3782, 2519, 2010, 929, 463, 8931, 1917, 7735, 8172, 7249, 7341, 8407, 2832, 7477, 5168, 8139, 1918, 9161, 4416, 7826, 3171, 4436, 6624, 6622, 8189, 7936, 4152, 9664, 3913, 7831, 3666, 9476, 4126, 8798, 4837, 8041, 6913, 7118, 1538, 7219, 362, 9574, 8319, 1890, 10152, 836, 9498, 1581, 967, 9106, 8173, 2535, 9105, 5264, 4503, 2605, 7168, 3424, 5804, 1755, 9794, 2501, 9612, 7651, 5269, 8255, 2939, 9985, 4124, 6597, 765, 8493, 3692, 9174, 7244, 2341, 4329, 6545, 3405, 5476, 8756, 944, 6227, 3713, 4333, 1024, 2388, 2309, 6782, 9747, 3064, 8677, 3882, 9303, 4965, 1726, 5485, 2185, 5578, 6724, 6108, 7560, 8174, 2089, 8897, 824, 7135, 568, 8288, 8328, 1479, 2168, 358, 6004, 521, 3474, 9861, 6575, 7874, 249, 4302, 10227, 2186, 4866, 1858, 8886, 7843, 1233, 6500, 10012, 9665, 4216, 684, 8918, 1929, 9809, 1312, 7475, 9136, 9731, 7570, 3718, 1655, 3902, 5687, 1821, 5227, 5866, 5855, 1381, 5053, 1392, 6564, 709, 1080, 1047, 9830, 1844, 3504, 9486, 3090, 4183, 4947, 5959, 3560, 10085, 2641, 8016, 8562, 1449, 9440, 3072, 5094, 9373, 3220, 8321, 3028, 4076, 5980, 1606, 1017, 5254, 10484, 2105, 1291, 3894, 7315, 1424, 101, 2813, 4471, 895, 4150, 3245, 9213, 5964, 2843, 3861, 2227, 9537, 286, 9178, 8853, 8803, 9397, 7939, 2844, 5825, 3905, 1472, 8685, 7523, 2474, 9227, 6144, 10472, 2911, 5711, 5923, 2615, 1121, 1332, 9997, 6967, 304, 7158, 8431, 7271, 2032, 816, 3674, 3257, 1990, 6052, 6201, 259, 6480, 5512, 6012, 5767, 1118, 8746, 40, 5477, 1831, 9218, 9443, 2395, 1176, 5642, 6992, 3987, 1143, 7127, 4217, 1870, 2133, 6255, 9230, 2659, 8418, 7713, 2239, 4633, 9400, 10181, 9756, 4857, 7903, 10119, 9873, 4101, 10002, 5597, 1023, 1800, 250, 5624, 8225, 2222, 3897, 5651, 6207, 1845, 9376, 1417, 8808, 8206, 8221, 6677, 4281, 10145, 5443, 9328, 6008, 5331, 1042, 420, 3661, 79, 10037, 7703, 7839, 887, 4600, 6166, 3330, 626, 7576, 449, 5288, 8115, 1970, 4417, 6769, 5559, 5609, 7197, 2619, 2461, 7226, 338, 7971, 7517, 4534, 5676, 1380, 7078, 3436, 839, 9413, 2349, 5946, 8929, 2594, 3750, 7947, 7493, 1343, 2900, 5706, 4088, 109, 59, 9694, 2727, 5354, 94, 6506, 8833, 3885, 1236, 4683, 2447, 4854, 2026, 5453, 664, 10383, 8955, 10295, 2876, 3726, 3217, 6011, 3545, 2556, 9592, 7170, 4922, 10363, 9640, 4075, 7463, 10042, 8887, 309, 549, 947, 617, 649, 6488, 1264, 5175, 10463, 360, 2678, 3444, 8429, 1920, 4944, 10214, 3599, 9641, 10280, 2629, 5263, 5145, 4730, 9099, 8789, 2143, 8277, 4258, 2400, 246, 8684, 3476, 936, 8256, 5412, 3256, 8891, 2815, 6042, 665, 4072, 2878, 3404, 7718, 4462, 4201, 648, 5534, 4722, 3955, 5842, 2292, 117, 3237, 8631, 8975, 9264, 2500, 10319, 885, 3972, 6134, 9560, 10435, 723, 3610, 5603, 6307, 5762, 8794, 1834, 107, 4431, 3721, 461, 10047, 2261, 6169, 1921, 1219, 3352, 9488, 3154, 4554, 31, 4549, 1072, 5312, 3676, 6643, 2215, 1420, 3301, 1325, 5018, 7221, 8528, 1084, 3850, 7377, 10083, 7061, 9834, 6621, 8719, 3321, 2891, 6159, 553, 2103, 123, 7538, 1893, 5001, 9484, 7050, 9455, 1283, 798, 7548, 10067, 2838, 5132, 3209, 8484, 7550, 2475, 9093, 8959, 5852, 1869, 6505, 2525, 3437, 7123, 5327, 4381, 6993, 2304, 2573, 7881, 2558, 3106, 8415, 1048, 3594, 6202, 9450, 1916, 3286, 8642, 715, 4135, 4861, 4062, 1956, 1346, 3053, 9223, 507, 1785, 2837, 5646, 531, 5723, 8152, 4066, 303, 6174, 9871, 5532, 7304, 8941, 7016, 9715, 7280, 681, 4147, 805, 318, 6783, 1569, 7160, 7343, 5180, 4413, 8657, 6345, 1266, 10201, 9933, 5369, 6771, 6973, 5860, 4025, 9389, 9280, 1414, 1039, 4847, 3688, 7640, 635, 6945, 8470, 8949, 3598, 9011, 1298, 9394, 7741, 5551, 5824, 7451, 9288, 6684, 6729, 144, 694, 2228, 680, 6726, 3037, 8915, 3246, 3942, 1308, 8977, 10032, 3221, 1187, 7405, 7406, 2412, 4448, 7622, 1030, 2766, 13, 3629, 6001, 9279, 5194, 10305, 8473, 4112, 9262, 2503, 2783, 6150, 7233, 9673, 1615, 5272, 5805, 2206, 522, 788, 8044, 8085, 597, 1422, 7157, 5226, 2279, 3719, 9490, 7402, 868, 7505, 10127, 2470, 1891, 5498, 5389, 4901, 3690, 4267, 8259, 8104, 3120, 313, 8186, 573, 3492, 10376, 8976, 10307, 8889, 6869, 2847, 10521, 9485, 3360, 817, 8877, 6718, 3157, 3904, 9502, 2378, 2373, 8364, 6781, 9120, 2443, 5961, 7569, 7441, 301, 2346, 840, 8708, 6589, 5849, 2247, 2748, 1256, 2978, 1539, 530, 3771, 7927, 9049, 7049, 2179, 5830, 7988, 7075, 1976, 8659, 9001, 9176, 9067, 535, 10242, 9819, 5859, 8510, 2802, 4089, 9259, 2408, 3624, 5200, 8647, 5913, 2906, 8334, 5872, 10208, 8294, 9314, 2913, 3745, 1529, 7581, 10190, 8211, 3795, 1998, 2059, 2068, 6689, 9951, 9630, 9286, 7339, 1736, 2212, 7408, 2643, 784, 7691, 8146, 3129, 2562, 4555, 6283, 795, 4659, 1069, 8558, 3410, 8230, 8974, 9084, 2073, 9613, 7595, 10188, 5749, 5087, 5078, 8279, 4851, 8371, 7508, 7917, 8164, 5692, 5082, 183, 2590, 1333, 6873, 4671, 5696, 490, 4433, 466, 9616, 7130, 7400, 10453, 112, 8739, 2491, 7486, 4705, 870, 361, 10395, 1250, 5509, 9211, 10281, 5170, 7710, 6136, 9301, 9260, 189, 9943, 8306, 5799, 537, 7053, 9204, 4610, 3109, 8842, 10031, 492, 6966, 9487, 1648, 3241, 9250, 4331, 3098, 6897, 7195, 518, 2760, 567, 3922, 10022, 975, 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5475, 342, 1386, 10439, 1599, 10371, 3275, 6305, 9214, 3281, 3271, 668, 10272, 1353, 18, 1322, 124, 28, 6282, 4981, 4311, 8374, 66, 4579, 5581, 9683, 1894, 4853, 1258, 2902, 6524, 7376, 8806, 7278, 3375, 2188, 4960, 7006, 9137, 8087, 7828, 4443, 5345, 8099, 9791, 1173, 7918, 9426, 6238, 4375, 5985, 8285, 9341, 7776, 9022, 8369, 1078, 8155, 4114, 5344, 3113, 1738, 4155, 7038, 1784, 1860, 6800, 8630, 3565, 10192, 2955, 8066, 5405, 5071, 9905, 6382, 2636, 7888, 1244, 6234, 6880, 8161, 10284, 3032, 8996, 7447, 3956, 3810, 7534, 8413, 4757, 85, 7000, 7982, 4972, 4111, 2897, 8299, 3366, 9627, 3910, 87, 5291, 7482, 9567, 345, 989, 7426, 4618, 485, 4484, 3052, 2834, 8776, 1508, 8695, 7194, 8068, 7666, 10328, 4762, 3568, 4785, 625, 7240, 6678, 10140, 1904, 6165, 7800, 3243, 103, 4234, 4905, 8378, 3557, 7149, 8714, 119, 6328, 2209, 8314, 2313, 8872, 7514, 7305, 1435, 10050, 837, 3928, 761, 2195, 9770, 8023, 5249, 1255, 4943, 3586, 3503, 2241, 5967, 10196, 10234, 1062, 3042, 945, 814, 6759, 5613, 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9293, 6462, 6373, 5740, 9863, 6051, 5318, 4568, 7849, 5773, 6160, 10200, 3014, 1015, 4921, 1019, 176, 9677, 10098, 511, 9894, 3896, 5686, 5267, 9961, 7574, 3709, 5106, 4933, 1561, 5540, 3423, 7541, 8022, 5178, 7051, 224, 9692, 5647, 8345, 1829, 4350, 2522, 2951, 3148, 1846, 3780, 6797, 3498, 6549, 5932, 9042, 3511, 7502, 4465, 6520, 6381, 9575, 5721, 4902, 5467, 1139, 1507, 2893, 1546, 2391, 131, 4103, 3853, 3755, 1742, 756, 4083, 3345, 3778, 9469, 1421, 9545, 6786, 288, 812, 8214, 6656, 3878, 8903, 6802, 2005, 1545, 4209, 7129, 9181, 3807, 818, 2819, 9007, 10450, 471, 2647, 333, 1104, 6761, 10135, 2966, 10381, 6654, 6433, 1554, 9583, 10403, 10446, 932, 10312, 3135, 1208, 10486, 6420, 3830, 2497, 5542, 6016, 7137, 2854, 5007, 7319, 2870, 6290, 6794, 7897, 7631, 3994, 2741, 6884, 380, 3322, 3088, 4050, 4976, 739, 1525, 827, 2356, 9058, 9396, 2403, 1521, 7449, 1823, 6114, 8410, 5234, 9736, 3958, 181, 6920, 3701, 2728, 2898, 8404, 8879, 8160, 10533, 8380, 203, 8597, 815, 5000, 3466, 3923, 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3856, 2929, 7151, 1907, 5826, 1434, 8341, 5163, 4123, 10436, 5183, 8004, 8825, 2624, 6933, 10358, 7656, 641, 3389, 7456, 10221, 5837, 406, 5960, 6388, 4182, 9987, 4622, 8917, 365, 2733, 10089, 5516, 2031, 1682, 2022, 102, 5689, 9043, 7480, 3458, 3751, 9194, 661, 4517, 2253, 9549, 1847, 8103, 570, 3645, 4886, 7702, 3218, 2076, 3748, 3472, 9893, 9807, 3551, 6024, 7857, 2921, 9783, 705, 3700, 2724, 9452, 8318, 2352, 340, 3509, 8923, 1230, 2655, 2393, 7908, 2411, 4055, 2757, 3931, 6191, 8081, 8370, 9036, 8813, 2972, 8180, 5562, 5585, 10314, 7890, 8000, 8520, 5917, 5857, 6149, 719, 5501, 2466, 7644, 6971, 10164, 4420, 9282, 9509, 6529, 4862, 2053, 6015, 9703, 7659, 5294, 2258, 8275, 3355, 3412, 544, 7513, 2718, 3665, 3022, 4401, 1914, 547, 5759, 9348, 2671, 6256, 7136, 4765, 9414, 2128, 8973, 9705, 3115, 10147, 9562, 2066, 4798, 3160, 6557, 3370, 9289, 6906, 6485, 258, 6209, 5754, 6246, 3668, 9810, 6164, 2008, 2869, 3254, 2628, 5232, 10414, 9048, 6602, 7919, 1969, 6067, 8947, 1748, 5347, 9648, 382, 8749, 9563, 5794, 4594, 8774, 6924, 3244, 6732, 6413, 859, 5619, 4915, 322, 4358, 5995, 7481, 9078, 693, 3000, 7193, 7945, 5879, 8282, 1751, 914, 10154, 9733, 3965, 1425, 3403, 5564, 6264, 10425, 4400, 5700, 2945, 9069, 6397, 137, 1101, 7223, 5889, 3384, 9745, 721, 6143, 9843, 3626, 7248, 4946, 4894, 1995, 4621, 2139, 2845, 77, 3918, 7722, 735, 8271, 9185, 7657, 2170, 6230, 5899, 6296, 6695, 9428, 8453, 3239, 6452, 631, 7055, 9902, 5944, 5093, 3803, 8945, 192, 7557, 8151, 8589, 7202, 3889, 497, 8905, 1377, 3462, 8796, 3735, 4712, 9139, 4561, 9010, 7145, 2970, 8772, 10182, 4372, 2250, 716, 4148, 3055, 6848, 5136, 9331, 6469, 1022, 1696, 9079, 10465, 8720, 2719, 9047, 1915, 801, 8839, 5109, 3496, 2569, 9920, 9942, 6186, 9236, 6740, 1481, 9053, 4219, 3236, 9311, 7816, 7752, 995, 902, 7948, 9057, 5468, 1058, 1106, 9837, 10309, 7242, 3464, 8179, 4493, 10186, 8329, 4259, 7148, 7864, 9387, 4455, 1008, 3182, 473, 7750, 6112, 2681, 6378, 2142, 367, 7998, 4342, 1526, 2512, 5279, 4505, 1991, 8752, 1911, 7379, 10368, 2023, 10317, 3637, 875, 4591, 9244, 9547, 6422, 810, 7126, 843, 1600, 3381, 826, 8011, 7144, 6250, 6962, 1273, 1495, 9890, 8379, 229, 5399, 3631, 4266, 2290, 4477, 1983, 9628, 307, 4858, 5936, 8612, 2509, 1808, 6588, 5693, 1820, 3703, 9162, 1239, 7020, 2753, 6905, 2937, 7623, 1580, 3371, 4274, 4665, 7294, 2561, 55, 4193, 3849, 1981, 10128, 5192, 9653, 8827, 7230, 5876, 9070, 4077, 3338, 10245, 1430, 9771, 2421, 9699, 4805, 10004, 8852, 4057, 3317, 1718, 5077, 292, 8861, 3535, 10252, 994, 1365, 9402, 3010, 429, 9645, 7774, 6193, 5523, 4772, 4160, 9457, 3689, 348, 5672, 9163, 2293, 632, 7350, 10184, 3949, 7459, 5563, 6745, 759, 9133, 6424, 10519, 7254, 8841, 5832, 8670, 3433, 5620, 6091, 10256, 2476, 7347, 4566, 7380, 187, 7745, 4806, 10500, 9824, 1964, 10061, 10423, 6988, 4840, 3080, 3344, 6934, 7593, 599, 4035, 793, 2174, 6608, 2686, 2281, 5265, 6070, 10269, 2169, 1799, 7566, 8232, 7634, 6013, 7629, 3841, 8757, 8671, 7765, 8518, 550, 8592, 10416, 7608, 10478, 4500, 8604, 8049, 5098, 8882, 7681, 8878, 3691, 7688, 7937, 8286, 44, 3247, 6249, 163, 4717, 1357, 508, 8264, 6882, 7784, 4061, 2861, 8261, 9962, 10382, 10352, 1804, 9495, 8243, 5935, 1052, 5608, 2710, 4800, 2627, 3570, 4464, 6073, 1876, 2092, 6927, 2070, 2431, 6573, 528, 2265, 6904, 4605, 4411, 2654, 6653, 1099, 2482, 2511, 9246, 4646, 9921, 9220, 7077, 4206, 4945, 7247, 1359, 4482, 2712, 1776, 7990, 2428, 1202, 3789, 2658, 9838, 3514, 3699, 8904, 7465, 1442, 7727, 1985, 1051, 1306, 8837, 7803, 3573, 7150, 2407, 8333, 8204, 4324, 9198, 9654, 797, 1153, 6734, 8150, 6161, 737, 9868, 8397, 6220, 207, 8487, 5755, 3541, 609, 8801, 8628, 9207, 1016, 10341, 2770, 306, 9253, 2886, 9504, 8373, 2085, 7028, 491, 6894, 3368, 2948, 3363, 2557, 1649, 8938, 3587, 3638, 9050, 4524, 5515, 7818, 1815, 3048, 6957, 2756, 4354, 3917, 6879, 3482, 4121, 2601, 1527, 4695, 1727, 294, 7896, 10456, 1246, 1488, 1075, 2318, 70, 9607, 7207, 2816, 4868, 6243, 7395, 5654, 7419, 6817, 5636, 3386, 5362, 3420, 4904, 3169, 786, 6097, 3926, 3226, 4419, 1594, 9814, 1737, 2617, 5722, 4047, 5108, 8376, 3648, 8623, 2820, 6391, 12, 6501, 1490, 6449, 5718, 3205, 9617, 1833, 10046, 9234, 8912, 4382, 2100, 9611, 6138, 9948, 4690, 3323, 9179, 4366, 3875, 7561, 7175, 9926, 394, 3081, 9020, 7684, 8114, 652, 26, 1128, 4094, 9780, 1313, 6764, 3708, 1185, 3919, 1329, 9718, 8202, 3312, 7333, 10527, 3061, 1558, 3611, 8845, 7104, 2758, 9307, 8617, 5698, 4306, 4873, 10458, 6694, 9478, 9274, 7216, 5615, 6140, 10003, 9534, 6728, 4533, 5374, 4884, 6531, 209, 5894, 135, 3333, 4279, 669, 6523, 1902, 1456, 10393, 9460, 8207, 2249, 2079, 2220, 4339, 4310, 86, 8838, 4567, 5882, 10096, 7369, 5173, 1394, 5931, 4679, 1563, 3903, 677, 8297, 5020, 5067, 90, 180, 10029, 6593, 9886, 5215, 4297, 5658, 5238, 8691, 7930, 4019, 3984, 8098, 7337, 2017, 7310, 4474, 9973, 9238, 3670, 9408, 8272, 251, 5984, 8252, 5461, 5013, 5409, 2789, 9258, 8868, 7045, 6333, 2702, 2240, 6984, 9572, 2025, 2840, 9494, 6999, 7952, 8738, 5977, 4753, 6300, 4900, 2829, 4544, 4167, 3502, 5821, 1652, 5545, 8079, 6471, 3867, 177, 1335, 8237, 2606, 4280, 9786, 4461, 10065, 312, 7620, 9738, 4133, 8154, 4656, 5203, 8193, 4276, 8669, 5244, 6199, 5989, 6221, 10313, 1898, 4078, 5660, 6617, 2398, 9766, 2505, 7215, 1645, 3970, 8704, 9416, 1887, 1347, 8943, 9542, 6937, 1164, 9994, 579, 4212, 7810, 6687, 9422, 4580, 3694, 5553, 475, 3315, 8835, 5458, 9430, 7887, 1930, 642, 5091, 3733, 4343, 3258, 7788, 9360, 9116, 8611, 3494, 7871, 2794, 2540, 5841, 5321, 1896, 2280, 10407, 3149, 7208, 1955, 6267, 6369, 8926, 1260, 2075, 5120, 1555, 7438, 8902, 8009, 7469, 1486, 4711, 9529, 8561, 9919, 8988, 8590, 7163, 9945, 5418, 5378, 9915, 5228, 7186, 6036, 3332, 4949, 1141, 3927, 9732, 598, 6059, 3680, 4044, 9026, 6996, 2337, 1280, 2529, 3164, 302, 7795, 4427, 6898, 3533, 2580, 363, 10523, 1315, 3426, 4699, 3536, 314, 116, 0, 701, 3451, 7567, 4029, 8919, 4587, 4535, 1340, 6069, 10220, 3863, 8456, 2685, 1324, 7510, 9706, 2376, 5896, 10471, 3329, 4588, 4315, 3686, 2856, 8362, 590, 6511, 2879, 5061, 6918, 2904, 5769, 1610, 6737, 3529, 1342, 1419, 3124, 1397, 6604, 9055, 3290, 3727, 6765, 4232, 9528, 9802, 3045, 10113, 6792, 8013, 8883, 8075, 651, 2007, 6002, 3828, 1191, 4373, 9205, 5307, 2314, 4720, 2792, 1498, 1071, 3678, 3868, 8102, 3555, 5070, 6875, 9772, 2310, 10406, 6854, 2177, 5554, 4390, 3879, 3219, 5719, 9742, 10095, 5781, 9708, 8396, 7192, 3127, 4287, 9410, 6306, 1448, 8460, 7196, 1402, 8957, 2308, 1133, 8998, 10086, 4063, 9298, 2989, 8177, 6543, 3763, 4865, 1217, 738, 10143, 9619, 3343, 6475, 1932, 4125, 2268, 9378, 6596, 6803, 4597, 9407, 2255, 4607, 4724, 4669, 5950, 2494, 2463, 2132, 3121, 8668, 4107, 3501, 4128, 4010, 4278, 9170, 9109, 3310, 1592, 4952, 389, 6795, 9009, 6060, 443, 1641, 3016, 7307, 1531, 862, 10134, 7611, 10286, 7404, 7431, 9887, 3273, 8856, 612, 8143, 3382, 3960, 8718, 80, 2406, 5363, 8239, 2715, 2657, 4391, 1619, 6482, 8238, 8826, 2163, 5141, 6474, 1626, 7251, 3528, 6215, 9800, 7374, 7958, 4330, 1604, 10126, 8727, 6188, 172, 3012, 1743, 1135, 7009, 939, 460, 71, 823, 3147, 3024, 2618, 2165, 3123, 8464, 4819, 1267, 5941, 1959, 1213, 7972, 7652, 6213, 9291, 4397, 4145, 8088, 6467, 6284, 1032, 596, 1262, 8865, 1350, 5204, 6360, 7662, 10141, 3566, 6171, 2181, 10207, 4468, 1667, 10189, 3816, 9681, 9320, 743, 5593, 5510, 9003, 5612, 1534, 5680, 327, 9068, 10374, 943, 8658, 9292, 5006, 343, 4998, 5914, 8258, 1253, 5338, 2303, 9787, 4917, 3663, 8731, 692, 6872, 8406, 9960, 8312, 8533, 8060, 7218, 3998, 10310, 3282, 4142, 1215, 7027, 6502, 1064, 1958, 946, 9644, 8234, 8908, 3413, 4895, 10360, 8260, 4004, 2914, 2257, 1178, 8967, 9028, 4841, 6338, 1181, 1337, 5552, 7512, 8632, 10231, 3100, 3295, 3299, 1389, 8609, 9501, 7446, 5157, 2926, 3852, 1168, 8564, 5441, 6577, 8770, 5716, 1647, 3659, 8556, 2116, 6245, 9546, 961, 6825, 9269, 5008, 6453, 6806, 10235, 4941, 9967, 5811, 9342, 7835, 806, 2732, 9512, 10492, 10347, 3967, 7276, 7121, 7173, 1193, 3507, 2850, 10428, 2779, 6830, 4611, 7338, 7661, 1317, 5926, 6917, 1777, 5939, 356, 6517, 10476, 8722, 9556, 1865, 604, 941, 2471, 4738, 7140, 6636, 917, 10287, 9222, 882, 2953, 8900, 9147, 5526, 2532, 2821, 8978, 4153, 3414, 4558, 8730, 10204, 164, 9062, 4196, 2873, 7159, 1336, 6943, 6271, 600, 4845, 9601, 9095, 7562, 3819, 6308, 5022, 1161, 7821, 9540, 9481, 969, 663, 3274, 1109, 7147, 10316, 8715, 8476, 199, 3681, 1522, 5579, 3579, 5011, 4598, 1510, 9712, 2311, 2375, 955, 619, 6958, 4539, 896, 7893, 2899, 5665, 9438, 10437, 8491, 7021, 6257, 8233, 4718, 3963, 7024, 178, 4559, 8249, 1945, 58, 8292, 4117, 7349, 2379, 6763, 8599, 6562, 2781, 10155, 1086, 7714, 7682, 1410, 9866, 212, 791, 9493, 8884, 2780, 3999, 6959, 2171, 50, 6173, 8134, 9471, 9240, 783, 7974, 8326, 9610, 1073, 4374, 1321, 8474, 7840, 4349, 1477, 8417, 3959, 2644, 8034, 700, 1050, 4777, 4326, 6483, 1824, 2360, 4927, 3948, 1548, 4997, 1238, 5359, 1528, 1243, 7366, 736, 3839, 3823, 1512, 2087, 2842, 9591, 5640, 9189, 1261, 7390, 7076, 3377, 6669, 5271, 4643, 2226, 905, 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4404, 6428, 4136, 10195, 6028, 555, 2924, 4874, 2922, 10051, 5595, 1427, 8729, 1221, 3038, 2493, 3325, 10385, 3979, 2581, 9371, 10524, 7231, 3262, 1354, 5971, 5457, 2942, 2592, 4823, 9842, 3342, 4955, 2183, 6584, 5181, 5549, 2963, 4100, 8298, 8650, 9130, 8354, 6248, 4573, 9845, 2574, 6788, 5990, 731, 5667, 8930, 1186, 4008, 8047, 5789, 6045, 6772, 1304, 5641, 1965, 3730, 9584, 381, 8997, 7394, 3696, 9579, 1906, 7757, 800, 2291, 3056, 8254, 4515, 3609, 4344, 4392, 2040, 670, 5465, 7969, 8459, 56, 3725, 7401, 2187, 8052, 9004, 3938, 5, 6263, 1155, 9757, 9676, 9979, 7531, 9682, 1393, 8192, 5325, 9148, 8495, 5386, 6532, 4925, 3801, 3558, 2252, 3195, 8301, 9909, 8646, 10112, 29, 2102, 6330, 3892, 8305, 10010, 7494, 2319, 7984, 9129, 10000, 580, 3484, 7014, 5730, 8323, 3215, 3862, 7256, 6358, 2916, 2839, 1388, 3270, 7358, 7442, 10397, 7416, 3074, 3651, 10114, 5042, 5084, 5125, 9434, 1480, 3675, 9643, 1013, 2125, 10258, 830, 6047, 3891, 2216, 6974, 9255, 359, 10487, 8927, 8791, 6137, 7329, 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11636, 34, 10609, 9657, 12236, 11919, 4649, 6027, 113, 12597, 3857, 6537, 8439, 6009, 12042, 4081, 1757, 5139, 5786, 9046, 12999, 12987, 2849, 6620, 9929, 888, 3103, 9434, 12085, 3216, 13171, 13336, 11781, 5340, 13326, 12365, 5929, 8858, 11714, 11085, 12450, 11377, 2955, 8846, 12460, 13094, 8270, 4070, 2199, 11192, 3640, 13735, 6286, 7805, 4438, 7364, 13295, 13111, 4517, 248, 403, 4286, 8070, 12642, 9755, 12878, 8737, 7225, 6550, 13347, 7081, 6249, 6755, 6519, 5074, 4150, 388, 6149, 4782, 8950, 9234, 13577, 7591, 2675, 5172, 6632, 12389, 13454, 771, 4804, 5321, 6, 1808, 11814, 10999, 6365, 1111, 11374, 7761, 7215, 11308, 2621, 7571, 10665, 9600, 13334, 987, 5152, 9602, 11529, 12269, 7740, 4967, 2893, 11156, 11747, 4688, 875, 11451, 11282, 11350, 2401, 9140, 265, 4154, 4916, 3151, 10637, 1310, 4673, 2007, 13119, 6205, 8086, 576, 11051, 4501, 8472, 8800, 6459, 8460, 1311, 1654, 1665, 1249, 9855, 402, 12926, 3626, 581, 10435, 7913, 10644, 6454, 12523, 10016, 9470, 7520, 11725, 6038, 3152, 10547, 12253, 5900, 9465, 10477, 6771, 10427, 9099, 6716, 6462, 9629, 13756, 10785, 10137, 10875, 1323, 11678, 12894, 6877, 3245, 8377, 278, 201, 7419, 10747, 2069, 1151, 13122, 9610, 1965, 11972, 11295, 3680, 7951, 596, 13319, 8829, 9155, 6275, 1916, 10713, 10707, 4717, 11716, 6320, 6057, 6175, 6268, 9930, 9986, 3033, 10676, 11634, 12674, 3819, 4723, 11319, 1088, 9941, 4264, 12102, 10822, 12125, 1581, 1770, 12479, 9563, 2149, 9285, 423, 6026, 10783, 1584, 11900, 369, 3547, 615, 10174, 3455, 4270, 29, 8213, 4966, 753, 12185, 8676, 13652, 3632, 5117, 2589, 2420, 8862, 5879, 9654, 4185, 3264, 4839, 5906, 4071, 6885, 148, 12152, 13597, 11923, 3952, 5005, 2303, 3120, 2312, 11696, 13779, 1503, 547, 2726, 6078, 9011, 1386, 3643, 11825, 1973, 2193, 3755, 8319, 5981, 7773, 12380, 11410, 5581, 11758, 1743, 6555, 11214, 3733, 8627, 8130, 9357, 2681, 4538, 13257, 5666, 965, 4116, 2571, 10534, 10242, 7798, 8373, 2800, 2600, 9043, 7308, 8, 1423, 62, 11818, 13103, 7032, 3432, 3572, 4477, 7100, 4054, 8509, 8056, 4987, 9976, 789, 4271, 10988, 11406, 8835, 8963, 613, 359, 2762, 6339, 8994, 5566, 11685, 661, 9399, 4379, 6419, 4869, 7297, 11888, 6513, 1307, 6421, 6702, 5817, 10848, 2986, 7831, 1644, 6952, 7083, 2998, 7587, 4330, 6982, 4217, 13743, 10683, 996, 12428, 6306, 10124, 8959, 10493, 750, 4808, 10246, 4830, 520, 8700, 834, 411, 11573, 12600, 13829, 10338, 765, 1580, 10353, 2485, 11808, 9914, 2610, 9535, 12575, 580, 1798, 13137, 7657, 1746, 8791, 11069, 12550, 7268, 4387, 12405, 1245, 1327, 2066, 10168, 7260, 9023, 13036, 9881, 10178, 6741, 3826, 1399, 2095, 13221, 5333, 6381, 4627, 9805, 2620, 5451, 11431, 9416, 4813, 4710, 1764, 11632, 11257, 1960, 12216, 1607, 1240, 2174, 5675, 2434, 12709, 1510, 3077, 8234, 3807, 12007, 10112, 10511, 565, 1229, 11444, 12989, 4345, 4051, 6367, 6396, 13219, 13631, 11225, 5748, 70, 2672, 7956, 13158, 8951, 7474, 17, 13823, 8280, 13457, 13350, 8301, 13234, 11558, 4945, 4322, 9108, 11854, 3350, 1725, 11752, 8445, 7665, 2166, 11624, 6889, 8121, 9997, 4603, 8183, 2573, 13270, 2508, 12410, 4629, 3990, 678, 13816, 10067, 3742, 6983, 9239, 8348, 11885, 9660, 11915, 5149, 11598, 8236, 8783, 5863, 1730, 1273, 5425, 12105, 3573, 1970, 2942, 2614, 2467, 12079, 6077, 13598, 8680, 6317, 10212, 13528, 935, 8278, 756, 1279, 2090, 2631, 10706, 1527, 3116, 8333, 6343, 7854, 10942, 8899, 2151, 12074, 8187, 2013, 10079, 10241, 9021, 555, 2976, 8679, 6782, 7185, 6629, 6229, 6223, 5659, 12319, 9603, 3179, 554, 5490, 6796, 8291, 12616, 11059, 11763, 5760, 10584, 3237, 11376, 5608, 10568, 5893, 9821, 12231, 8499, 6657, 7294, 12488, 10648, 5797, 8120, 3073, 10912, 7601, 12246, 3797, 10050, 2309, 13136, 5647, 1966, 12068, 124, 13560, 9350, 10543, 6083, 1598, 11832, 7252, 676, 13534, 5501, 5826, 5248, 768, 8033, 3754, 9985, 5688, 10449, 593, 12003, 4969, 1355, 595, 8246, 10166, 562, 8089, 4889, 13315, 12904, 3917, 12357, 10400, 11277, 1106, 8337, 6858, 4499, 12918, 7353, 1519, 180, 9217, 10599, 507, 2835, 840, 8431, 3788, 232, 1154, 8068, 12340, 3617, 7780, 10425, 12117, 11543, 4943, 4527, 492, 11917, 4414, 7919, 5546, 3778, 10655, 3514, 1402, 7531, 8881, 3422, 10662, 11138, 4300, 9170, 421, 5477, 12726, 11446, 6533, 2311, 10305, 2043, 6352, 3337, 5796, 7054, 12314, 10769, 4787, 5048, 3307, 13695, 13623, 7929, 5251, 6490, 2030, 2105, 6218, 10430, 7213, 13118, 9172, 1397, 11850, 7056, 528, 11700, 7202, 390, 1755, 11144, 8975, 7277, 2488, 2426, 653, 10672, 10167, 11170, 7681, 9439, 2084, 6772, 1193, 13228, 9637, 1825, 4832, 12114, 6644, 9955, 1272, 7627, 12773, 11749, 3704, 5469, 7653, 13698, 11778, 9707, 2780, 6557, 5868, 7278, 3153, 1023, 11302, 12148, 12175, 5014, 3931, 7319, 4778, 4541, 11606, 12433, 5020, 1128, 1995, 2715, 9149, 8137, 8807, 5592, 7118, 2819, 3230, 8534, 279, 4274, 11460, 2892, 9178, 2100, 3220, 13164, 7409, 10522, 11228, 2270, 9968, 463, 5557, 8608, 10202, 8750, 12134, 3009, 340, 12751, 2240, 11265, 9182, 117, 11264, 6084, 7099, 10385, 9414, 7542, 7128, 5214, 13831, 11154, 12225, 6947, 6168, 12201, 6227, 2324, 6742, 9516, 13520, 4084, 757, 11499, 3386, 7517, 5269, 8715, 2156, 12144, 10939, 2528, 1991, 10855, 1962, 9401, 2448, 5174, 8409, 353, 4080, 11564, 13267, 1656, 721, 3320, 11428, 7110, 8623, 1, 6050, 12101, 4685, 8066, 2075, 4831, 6378, 6812, 9312, 1684, 3780, 12411, 3266, 9412, 26, 2748, 488, 8926, 11344, 807, 27, 13760, 4432, 770, 5213, 8834, 12831, 9445, 2335, 4601, 5771, 5632, 6247, 12332, 13583, 12902, 8606, 666, 9517, 1777, 12238, 1065, 8374, 5034, 5492, 12651, 7769, 2246, 1144, 9731, 258, 10347, 960, 10265, 2492, 9362, 11416, 486, 8143, 13120, 4761, 10870, 9727, 9191, 1391, 13311, 4753, 13341, 6655, 6593, 3601, 7640, 5942, 10134, 13421, 9131, 5305, 9764, 1125, 56, 10752, 3069, 8096, 13168, 6213, 5268, 1754, 11271, 5812, 13052, 814, 6236, 8257, 9676, 10260, 5104, 5810, 5416, 9355, 7634, 5931, 13407, 9607, 12917, 12013, 1941, 1823, 5534, 10643, 5695, 1328, 13280, 5801, 2975, 8447, 8929, 3817, 6545, 13819, 5671, 8324, 4488, 25, 11868, 12939, 13333, 2286, 9020, 6067, 836, 6754, 8570, 161, 8233, 164, 10388, 13836, 8777, 165, 9506, 1982, 4645, 791, 3824, 3599, 8247, 12552, 5409, 4398, 5742, 2945, 4347, 12335, 1184, 4450, 8169, 11650, 8684, 1376, 1830, 1156, 10815, 7583, 10976, 10894, 5078, 8060, 10926, 3239, 7753, 6331, 10977, 6810, 6623, 13761, 12261, 12350, 1846, 9591, 220, 5667, 4732, 2659, 4408, 12663, 5746, 1346, 3868, 13808, 2611, 2777, 9611, 6316, 12829, 7614, 2468, 6293, 7648, 9815, 3545, 631, 932, 4543, 7560, 5456, 3309, 766, 11805, 13417, 9235, 13293, 8269, 6633, 9525, 10722, 6605, 1302, 6671, 6978, 4644, 9970, 170, 11773, 13279, 2320, 7157, 2584, 2586, 9998, 7933, 5072, 11926, 9316, 9738, 9135, 6214, 1771, 9544, 2641, 9482, 5489, 9988, 7475, 11534, 9199, 9495, 4049, 12089, 1931, 5141, 6304, 1601, 11981, 508, 5070, 11016, 5935, 9550, 2603, 1785, 4802, 444, 10560, 916, 6650, 4225, 11666, 2568, 10565, 2841, 3201, 9457, 6707, 6561, 8215, 10719, 6252, 5598, 5266, 6713, 3109, 9214, 1696, 11030, 5185, 11171, 12768, 12096, 11515, 12195, 12489, 7600, 11942, 7005, 9383, 10096, 5367, 3615, 4363, 99, 937, 5784, 8232, 13386, 4241, 606, 7250, 4313, 3176, 13156, 6966, 4445, 4668, 5028, 9015, 621, 9839, 9159, 3645, 7948, 9430, 10368, 7764, 7489, 1239, 3622, 2376, 1039, 11657, 12976, 6440, 3740, 11608, 1509, 10358, 922, 2408, 8196, 7053, 3714, 569, 12865, 3958, 8330, 2328, 2696, 3148, 10281, 6949, 4346, 1945, 13635, 13331, 1387, 2794, 13170, 2878, 2627, 3240, 7000, 11995, 2302, 13097, 13242, 2605, 11116, 5212, 11576, 3218, 1884, 11169, 1282, 7577, 5040, 3310, 11968, 12928, 11009, 8524, 10821, 8050, 7556, 1816, 792, 8528, 809, 4048, 761, 10334, 3867, 12322, 9868, 4291, 8955, 7918, 9993, 10949, 13578, 10109, 4555, 5843, 3796, 3308, 1406, 6646, 13276, 10234, 9084, 12300, 13426, 2850, 367, 10317, 2761, 1319, 1507, 13181, 8629, 339, 8553, 7004, 8393, 9953, 6324, 9321, 6124, 2594, 950, 138, 8889, 7425, 9478, 1203, 11615, 6867, 3570, 13470, 4699, 9022, 3010, 8046, 9101, 12506, 9829, 706, 10605, 8425, 13595, 739, 12925, 9347, 12786, 13014, 9014, 11966, 5560, 1505, 10406, 2781, 6653, 5640, 10945, 13387, 10896, 4220, 10433, 1250, 4047, 142, 12992, 9619, 5517, 9100, 2264, 3122, 10355, 670, 6457, 81, 5509, 7609, 9973, 13343, 11724, 9804, 11964, 9685, 5724, 10650, 3398, 10961, 12653, 4362, 9599, 2316, 12606, 7230, 6292, 1254, 11269, 4188, 10461, 8722, 8289, 8688, 971, 4005, 5061, 8186, 12860, 9409, 86, 3705, 12052, 2251, 4951, 5721, 3269, 5148, 2999, 6565, 10825, 7445, 10213, 10339, 13489, 13654, 2367, 9730, 841, 8924, 10101, 9424, 13486, 12209, 4320, 8564, 2609, 5820, 863, 1477, 13340, 1201, 1919, 5571, 8435, 8811, 10867, 2487, 3193, 9339, 1469, 13731, 7405, 4358, 64, 7210, 2455, 11809, 5573, 7366, 8220, 3019, 7752, 9221, 11922, 662, 9632, 12305, 2168, 5660, 1874, 2553, 1291, 9091, 5800, 1929, 12621, 9476, 2792, 11420, 13788, 3375, 9721, 3113, 7606, 5448, 6392, 343, 7328, 6892, 1761, 11693, 11842, 6088, 9875, 43, 1416, 10084, 9766, 1703, 1691, 1314, 6128, 11101, 8165, 5007, 4151, 4905, 11353, 8276, 12945, 9684, 11216, 12513, 8693, 5548, 13064, 12223, 11210, 6422, 12563, 2049, 10152, 9374, 886, 2504, 4338, 1343, 10721, 3750, 7365, 12985, 1975, 2292, 9982, 9154, 7504, 11297, 7731, 11291, 6946, 2540, 5323, 3075, 3872, 7375, 2404, 7589, 12270, 1811, 695, 13285, 3316, 7847, 7436, 13155, 504, 10273, 13049, 7954, 13233, 11784, 8500, 12146, 6906, 7175, 4719, 8609, 2086, 6876, 10390, 10920, 12852, 7658, 2104, 13449, 1998, 6307, 1217, 2874, 8601, 898, 8480, 2291, 9686, 4368, 9044, 12062, 266, 195, 3453, 9138, 11001, 13, 9325, 5515, 2877, 9905, 2486, 4029, 80, 5533, 11587, 8229, 4556, 3448, 7232, 9264, 5510, 7320, 8887, 7532, 7631, 3774, 8173, 6596, 9622, 5636, 794, 1947, 2395, 6028, 8545, 8611, 8352, 1232, 12572, 10969, 2004, 604, 13691, 3894, 1120, 12453, 5284, 8294, 12603, 588, 6420, 7209, 13443, 5829, 12781, 12302, 2442, 6432, 6833, 11094, 11253, 7923, 8510, 11762, 2185, 5003, 6294, 6377, 8030, 5582, 3392, 13815, 964, 5339, 514, 1234, 3770, 6242, 13521, 3544, 6019, 5977, 1818, 6206, 12370, 12446, 11971, 731, 10300, 5356, 12922, 9705, 4461, 5270, 12034, 9937, 7468, 3635, 7969, 13619, 10415, 9745, 9356, 6687, 2392, 8969, 11826, 8536, 889, 4760, 9315, 2732, 7586, 3317, 1202, 2580, 1382, 1750, 1552, 2797, 12276, 4148, 2411, 10530, 5553, 2067, 10932, 12931, 6573, 8873, 10483, 4097, 4251, 7072, 101, 7391, 13131, 489, 1296, 7786, 9277, 4957, 9303, 6908, 1041, 7392, 12016, 1653, 12529, 13351, 9332, 2745, 3945, 11879, 7772, 10653, 10656, 776, 7485, 1233, 11711, 10420, 2642, 12745, 2495, 1265, 4591, 3841, 4326, 12980, 10127, 1288, 12327, 6664, 13044, 743, 12593, 2052, 10508, 2397, 11553, 1413, 58, 2148, 4977, 1902, 11761, 3706, 12118, 2153, 4824, 6985, 502, 1729, 4281, 9957, 8040, 6820, 5886, 3250, 7509, 2828, 12390, 11263, 1838, 970, 3296, 4913, 32, 3531, 5708, 2847, 7241, 4628, 5500, 3510, 9570, 262, 10365, 13617, 6955, 3468, 5700, 3304, 3905, 8900, 7626, 10019, 8398, 12961, 11226, 459, 8156, 283, 10442, 4465, 7097, 11463, 1745, 11658, 3241, 2027, 4343, 10314, 1485, 11478, 2039, 12002, 6607, 8131, 6443, 2772, 3094, 11759, 13398, 151, 13371, 7959, 2836, 3200, 4260, 1734, 3347, 12798, 11653, 12827, 656, 7262, 11399, 10846, 9675, 2551, 3070, 2384, 4157, 1612, 1806, 6230, 6120, 1875, 9426, 12584, 3263, 3786, 9822, 13400, 5419, 8170, 11732, 9700, 12156, 12260, 9276, 9311, 2717, 6840, 2011, 11195, 1104, 745, 6092, 8388, 7848, 10864, 13442, 4145, 10177, 1301, 7549, 8763, 12461, 11119, 3433, 4941, 8383, 896, 11488, 9427, 4495, 4578, 1005, 2217, 11182, 185, 12324, 13813, 10210, 2749, 12352, 325, 4525, 2059, 9259, 4609, 4788, 13667, 7565, 12893, 4082, 5938, 1979, 8401, 6456, 12771, 9788, 360, 9562, 13058, 10001, 5980, 5427, 11019, 5536, 858, 891, 10971, 7336, 5359, 4553, 13292, 10579, 342, 6424, 9634, 236, 4010, 3054, 437, 12946, 7411, 7785, 11860, 12547, 2466, 1813, 2977, 2219, 4265, 13545, 7989, 4653, 10290, 626, 4795, 6761, 8656, 11267, 5417, 2983, 913, 9889, 5881, 6774, 12629, 7914, 3659, 651, 2423, 679, 5714, 7399, 1622, 10779, 13266, 5872, 12402, 55, 12907, 608, 9949, 2622, 2554, 1432, 1688, 6804, 8551, 1554, 8487, 6053, 12360, 12186, 4632, 3888, 8469, 6319, 7223, 10669, 9310, 2855, 5230, 467, 5383, 12669, 7434, 3180, 10232, 920, 8654, 13809, 4315, 2342, 11109, 13755, 2224, 11552, 1670, 6207, 10133, 10049, 8828, 4799, 10925, 1472, 3057, 843, 8756, 12870, 9169, 11682, 9737, 7192, 9403, 6883, 1742, 7101, 13146, 11252, 11887, 31, 9555, 7754, 7047, 186, 3898, 9674, 12883, 9865, 8501, 6012, 2909, 4867, 11836, 10504, 5080, 4698, 5228, 3066, 9129, 2972, 6291, 2546, 5508, 12418, 6888, 5902, 3668, 13447, 12167, 391, 11288, 10696, 8366, 10905, 480, 12413, 1540, 3758, 7152, 10566, 11691, 11852, 13764, 3444, 12040, 727, 8541, 5818, 12391, 13186, 3783, 12654, 292, 7448, 13565, 10737, 5750, 7415, 10037, 4956, 893, 1748, 3811, 4205, 13165, 3411, 130, 11403, 20, 1888, 12627, 7341, 12215, 11963, 5862, 772, 3186, 8633, 6401, 6996, 3968, 704, 7708, 3512, 7203, 6862, 9391, 7453, 12272, 600, 1152, 11123, 9204, 3449, 13259, 2041, 1921, 10272, 12807, 111, 4374, 4573, 6960, 4667, 5318, 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9817, 5719, 10170, 8911, 752, 844, 2129, 9617, 5454, 9008, 3744, 2325, 13268, 8332, 422, 12174, 10869, 1364, 8190, 1044, 4275, 249, 2186, 1697, 9849, 217, 435, 7358, 4411, 12070, 2456, 8502, 10009, 3405, 4674, 6647, 703, 13487, 2536, 6008, 12591, 8770, 9641, 1403, 8496, 5062, 11180, 13199, 982, 9048, 4098, 1354, 7800, 11357, 5018, 9146, 1904, 1270, 8274, 13083, 4528, 5778, 10422, 8483, 13338, 3730, 7762, 12205, 10680, 7620, 11583, 8349, 1475, 4160, 2669, 5867, 9484, 9407, 7242, 11578, 7146, 10382, 1680, 313, 13781, 1109, 8205, 10981, 4611, 2429, 1560, 6202, 6461, 6353, 13803, 11356, 5215, 10575, 6321, 2740, 3081, 2944, 7125, 6042, 12430, 972, 5908, 6751, 13670, 6371, 2247, 564, 13676, 2807, 601, 13332, 9944, 9173, 8184, 1478, 8422, 1698, 3012, 3213, 687, 12029, 8144, 9502, 8984, 881, 7459, 2922, 4909, 2788, 8844, 7744, 6491, 8937, 8522, 5497, 8057, 9160, 7356, 7240, 7707, 12938, 1869, 672, 6374, 697, 8455, 8848, 591, 3061, 7807, 10749, 9284, 2769, 4872, 8658, 5280, 13714, 12958, 5198, 6483, 7682, 7430, 8992, 6541, 2879, 13002, 2222, 10980, 10236, 4178, 13411, 12076, 6085, 12217, 12075, 926, 2073, 5204, 10604, 2273, 7373, 3578, 3027, 2736, 1851, 2385, 7815, 8916, 9298, 7602, 537, 13202, 3961, 11445, 4709, 10463, 2182, 4635, 13508, 1556, 12448, 2496, 11500, 126, 7835, 10863, 857, 12892, 7184, 9119, 2700, 9320, 9694, 4571, 12755, 3722, 870, 12289, 4991, 6534, 2522, 10884, 4950, 7675, 11349, 2499, 12468, 11874, 9725, 3412, 7104, 4066, 2005, 7618, 11021, 10384, 334, 6473, 9518, 3916, 11921, 11932, 910, 7833, 5440, 5320, 1521, 12884, 4179, 1530, 12660, 10443, 1604, 12784, 1864, 6615, 3803, 6661, 3474, 5498, 11278, 1561, 11690, 12766, 496, 10107, 5279, 4713, 5892, 1479, 11245, 7885, 13255, 4726, 683, 28, 12037, 8597, 9827, 5837, 11126, 10801, 6448, 4651, 9352, 4147, 4650, 11794, 1728, 3854, 5001, 9768, 13655, 709, 5433, 10304, 934, 6260, 6868, 11038, 7975, 5630, 13027, 8702, 8865, 8962, 2623, 12875, 7889, 2978, 10527, 623, 4175, 2635, 12596, 2844, 11730, 5421, 8459, 8943, 13321, 5967, 4021, 3764, 6626, 10726, 4937, 2656, 9770, 5015, 10840, 4294, 1083, 2057, 8910, 2002, 7963, 12718, 13415, 556, 12309, 12895, 800, 787, 831, 4425, 13708, 10471, 13662, 12574, 7340, 9485, 3141, 2679, 10398, 11958, 8485, 9371, 11088, 7576, 7842, 4783, 10772, 61, 6224, 13572, 13080, 3414, 2752, 8920, 11337, 7256, 1339, 7091, 341, 11491, 9645, 211, 11203, 10444, 3035, 783, 8457, 3874, 13549, 13541, 7500, 4158, 11686, 4095, 1476, 5768, 13463, 2869, 10806, 12264, 10412, 2814, 2245, 4646, 12978, 13251, 8675, 11945, 5053, 8306, 904, 8035, 13194, 12241, 7012, 8890, 11855, 9460, 5137, 5008, 12701, 4570, 13206, 1474, 57, 7281, 6622, 2088, 10546, 10456, 13237, 13773, 8122, 10804, 5332, 6872, 12386, 7637, 1716, 5641, 9871, 13493, 7325, 1787, 11977, 4228, 3903, 4735, 9117, 3870, 8400, 4736, 9114, 12986, 214, 12719, 6969, 7026, 12783, 13028, 11301, 4742, 13212, 12850, 5722, 11853, 3695, 8964, 72, 2465, 2361, 7067, 3461, 11813, 7316, 944, 4219, 12977, 8996, 7334, 10012, 12954, 911, 5272, 5584, 1168, 13075, 5535, 7293, 6918, 8142, 12455, 6919, 10881, 2943, 8476, 9806, 7109, 4613, 9491, 659, 2112, 11348, 9741, 4833, 1817, 8028, 10020, 9862, 1566, 12035, 3732, 358, 9387, 8345, 10157, 4564, 9300, 12222, 8214, 11008, 12812, 13393, 13523, 12982, 10694, 8307, 1891, 7196, 7901, 7898, 5756, 12337, 10515, 8659, 8774, 10486, 4639, 2719, 3171, 3388, 5397, 13697, 3859, 7396, 7236, 2287, 2527, 11791, 7882, 8711, 1946, 13284, 4682, 11649, 8525, 13757, 6434, 10739, 330, 9176, 7621, 395, 5693, 9077, 3034, 8054, 4127, 7638, 3736, 2363, 2197, 12609, 11405, 5241, 3084, 11083, 5100, 4828, 986, 10024, 4641, 5832, 12908, 3662, 6152, 6228, 3076, 158, 12909, 373, 6488, 3946, 7998, 8823, 8461, 5273, 3702, 3809, 2278, 8273, 4771, 1033, 4976, 5250, 3351, 12539, 9534, 6121, 10374, 6578, 3717, 3334, 10803, 2833, 12211, 3606, 11892, 12792, 4019, 2285, 13719, 12311, 4885, 513, 9128, 2969, 2070, 11449, 7480, 13722, 4192, 3844, 13381, 1321, 5247, 192, 5934, 10593, 8607, 6905, 9253, 10573, 10248, 13389, 7401, 3823, 2476, 12414, 1599, 6066, 4222, 2299, 5743, 12457, 11520, 1322, 6893, 9947, 716, 6507, 4237, 1692, 8940, 12576, 3463, 8954, 5989, 8527, 13324, 5484, 8626, 7724, 5789, 2369, 11339, 7428, 4058, 3465, 3653, 10960, 9931, 1429, 8426, 2648, 3892, 13353, 11325, 5004, 87, 12495, 10160, 4781, 2419, 4659, 355, 1148, 13531, 5662, 8391, 11158, 2450, 2560, 5673, 7921, 12898, 11954, 4721, 5249, 10233, 1596, 13260, 5286, 6849, 10790, 8709, 5958, 11523, 12182, 12143, 4561, 12164, 133, 9843, 3378, 9145, 7947, 11787, 11986, 4792, 30, 2997, 10404, 11383, 4304, 7331, 10275, 2974, 11448, 1793, 11468, 512, 6970, 1401, 12071, 12150, 736, 790, 9049, 534, 7771, 5110, 10625, 6703, 7183, 1907, 9538, 9054, 7254, 10618, 7732, 4514, 10183, 9866, 3192, 13253, 6403, 8624, 524, 6370, 2234, 11554, 4530, 4342, 8762, 640, 6610, 12373, 1227, 8284, 4744, 5064, 13510, 3548, 8203, 8698, 954, 11770, 8799, 12154, 11134, 13010, 9792, 10598, 11060, 2097, 7700, 4284, 4400, 7107, 2322, 10151, 3864, 530, 1213, 9882, 4912, 5959, 8839, 6700, 8240, 12872, 5960, 7912, 8012, 8031, 3802, 1480, 12934, 12942, 194, 4250, 13184, 9158, 7150, 10557, 1570, 4003, 5713, 7257, 7511, 1053, 8167, 309, 13102, 3212, 3679, 2229, 4892, 6924, 6364, 3157, 5917, 10095, 12443, 12625, 9454, 11619, 3467, 7944, 10646, 6216, 11316, 12789, 12132, 9838, 7928, 955, 1483, 7046, 8726, 1788, 9863, 10475, 4272, 4908, 8919, 2994, 2688, 4184, 11806, 11849, 7738, 7132, 1243, 7275, 6611, 7961, 6562, 7044, 9799, 4663, 1636, 5755, 2314, 6499, 1533, 13095, 1994, 9487, 10131, 9500, 2210, 106, 12470, 4581, 10032, 2576, 12359, 12486, 13130, 12962, 131, 5783, 8894, 7354, 7166, 13273, 11741, 9972, 3380, 9372, 7584, 8194, 6063, 2882, 10641, 5512, 10389, 3369, 361, 12813, 13784, 299, 3457, 6521, 1731, 2887, 8878, 7611, 10205, 10941, 11920, 5687, 4248, 1087, 1035, 4769, 7783, 10034, 10608, 9850, 8261, 5168, 7207, 9673, 742, 9001, 8651, 12230, 3869, 5663, 9702, 2907, 5602, 10459, 2509, 6201, 10421, 410, 8158, 11190, 4455, 2521, 4766, 12910, 8792, 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1028, 977, 5787, 3972, 1557, 7402, 11170, 4006, 8080, 3155, 3596, 12605, 12210, 8673, 11383, 9327, 4889, 8558, 3693, 3031, 2758, 12481, 6356, 12280, 10299, 9882, 8186, 4312, 9778, 6873, 4842, 3833, 2968, 2665, 3222, 2516, 4204, 9897, 7545, 9532, 9748, 11803, 6448, 1831, 6286, 11528, 8900, 11342, 11744, 3752, 11564, 5416, 6736, 13794, 7721, 9279, 11567, 1365, 9323, 11517, 10616, 3974, 7148, 13527, 1333, 11568, 3637, 1384, 339, 5569, 404, 9041, 9923, 8987, 8060, 10875, 7157, 250, 9262, 9482, 12761, 4347, 6011, 7299, 11394, 10831, 6523, 6708, 9833, 8245, 6359, 8456, 6886, 3460, 3488, 6080, 10613, 13652, 8936, 12178, 8069, 8178, 7586, 1788, 6726, 4038, 12642, 10637, 8965, 7735, 6012, 3518, 3351, 11053, 5075, 10711, 791, 6686, 5004, 11000, 2960, 9384, 7078, 13062, 8901, 3768, 13309, 11924, 9363, 2405, 5091, 11633, 1250, 5781, 4475, 9316, 12122, 5302, 1903, 8763, 2812, 4902, 9242, 10108, 3590, 5084, 6593, 219, 12907, 11536, 9306, 3499, 7318, 986, 5050, 412, 5326, 3691, 10631, 606, 358, 13140, 7082, 8372, 10233, 8617, 682, 9275, 9891, 134, 2030, 2488, 6376, 10344, 3981, 5758, 9652, 12766, 7931, 3898, 10612, 2122, 9320, 3046, 12211, 8796, 1955, 10347, 8317, 8723, 6349, 1240, 1995, 11245, 10855, 11707, 6644, 5935, 8930, 12326, 4626, 10185, 2493, 10335, 9908, 0, 4490, 10891, 3438, 5314, 10008, 6800, 6266, 4927, 4264, 9640, 6334, 4025, 5750, 7353, 3557, 8508, 3483, 12552, 9095, 11058, 7780, 5946, 8734, 3817, 7787, 4786, 1937, 3232, 1414, 9803, 4975, 3930, 6373, 625, 13802, 10070, 4482, 9650, 12173, 10832, 12762, 12072, 9534, 3704, 7862, 8578, 1152, 2564, 1482, 5897, 6399, 4681, 8757, 8939, 4893, 4958, 12276, 10374, 2971, 2807, 12976, 13807, 5065, 12041, 898, 668, 9667, 12894, 8646, 10608, 3912, 8068, 11466, 12513, 4282, 8847, 4670, 2097, 563, 8424, 13830, 3334, 11244, 8841, 3635, 11438, 3167, 12143, 7730, 5600, 6316, 1970, 7059, 10773, 11038, 3812, 8851, 53, 2330, 6458, 5260, 4556, 8927, 7086, 7016, 5777, 4926, 9613, 1635, 2077, 3841, 3957, 571, 141, 8320, 1819, 9442, 13095, 12209, 3884, 1373, 11848, 417, 8084, 3474, 3936, 13656, 2989, 5336, 12345, 10466, 10665, 1560, 7282, 13256, 4243, 12629, 10237, 1231, 13571, 12149, 1350, 5328, 5076, 5511, 2505, 10765, 11889, 13294, 794, 9493, 8367, 5259, 13153, 10914, 6808, 4928, 13730, 10395, 3579, 12627, 4230, 13502, 7793, 9035, 4416, 7306, 3629, 3984, 8696, 10754, 12595, 11820, 7919, 13330, 2576, 11838, 7510, 8190, 9931, 5791, 1015, 8383, 10348, 9304, 2717, 3139, 12213, 7139, 1492, 5312, 12537, 11638, 7630, 10594, 514, 7023, 8287, 6160, 1179, 6259, 2840, 13805, 11586, 11604, 5081, 5133, 10692, 691, 1199, 809, 6267, 10429, 12333, 12788, 2933, 11611, 5396, 10467, 9761, 4439, 4684, 4407, 5078, 7651, 13438, 12903, 6544, 4281, 1745, 3705, 10387, 159, 9293, 8352, 13193, 10442, 6822, 8294, 5962, 8948, 827, 3591, 2239, 1112, 4621, 8430, 5922, 2542, 12427, 3916, 8858, 4860, 1407, 10457, 10461, 7652, 2216, 3419, 8633, 4610, 408, 1872, 10777, 8463, 5343, 12020, 4260, 13752, 10802, 6982, 4138, 582, 671, 1676, 10744, 3715, 4089, 8182, 611, 805, 2861, 6212, 13019, 1843, 9040, 269, 10836, 2977, 7463, 11395, 4882, 4192, 10424, 9033, 4298, 7779, 12602, 10704, 7418, 5983, 732, 4998, 13045, 810, 8256, 5087, 3962, 5546, 12312, 7134, 5227, 3247, 12060, 10685, 10610, 8448, 12435, 9426, 10660, 8035, 509, 13132, 4697, 4375, 2814, 10552, 5178, 12244, 8744, 285, 11959, 2734, 13562, 4705, 3377, 646, 1102, 11238, 8153, 13602, 13483, 10714, 10767, 9942, 10221, 12776, 2176, 10485, 12348, 12691, 9255, 5719, 6081, 8749, 13819, 11578, 7482, 242, 5027, 6925, 10951, 4521, 11522, 11799, 7094, 3400, 580, 8064, 3580, 7916, 10752, 6924, 12492, 9669, 2535, 8354, 5291, 5952, 2053, 7716, 7872, 12488, 6756, 4242, 13305, 718, 983, 6849, 13462, 688, 13588, 10399, 13820, 6099, 7676, 1719, 5915, 3216, 1210, 3423, 3859, 12470, 11812, 13793, 6778, 917, 10793, 820, 4259, 1466, 8436, 4971, 9808, 1682, 7106, 11273, 10817, 6055, 1954, 2815, 4244, 8892, 2746, 7811, 974, 6107, 5615, 5494, 2461, 5549, 3361, 11051, 20, 11984, 1367, 7692, 8305, 4095, 8588, 8234, 5985, 3327, 12240, 457, 7342, 11688, 2011, 585, 9782, 5641, 9571, 8823, 600, 2540, 7947, 10025, 10268, 5228, 5966, 3348, 12459, 11768, 37, 2429, 6224, 847, 11440, 10835, 9536, 11294, 9789, 13317, 1833, 4775, 12195, 10053, 1413, 10789, 895, 516, 486, 5239, 13146, 1612, 11078, 4861, 5000, 4797, 9249, 10906, 9867, 11456, 9020, 12608, 12775, 1591, 9909, 13688, 5590, 2018, 13162, 6287, 4753, 3913, 6437, 5070, 2020, 11538, 9924, 13158, 9722, 12940, 1160, 3844, 10110, 5353, 8687, 120, 8378, 7912, 4094, 8004, 11054, 10005, 5998, 7577, 4393, 11087, 1691, 2669, 1830, 10571, 10171, 946, 12302, 2711, 7124, 12430, 1619, 1656, 11414, 5522, 8683, 9857, 183, 5011, 990, 10572, 8595, 5870, 13354, 10585, 6727, 13712, 2528, 4951, 12596, 5690, 203, 8222, 11133, 547, 101, 10079, 2151, 7164, 7155, 9660, 13437, 8745, 11776, 5365, 7361, 8728, 1990, 9059, 8703, 8626, 2282, 6998, 1832, 9134, 11403, 11166, 6573, 7961, 6606, 11624, 4558, 9864, 10382, 4175, 10311, 520, 10244, 4001, 6206, 3059, 9448, 9970, 7887, 2961, 4649, 7660, 6131, 10222, 9687, 11480, 3269, 12290, 8397, 11209, 12891, 6952, 7952, 8837, 8568, 4020, 7152, 11020, 10861, 1909, 9630, 2764, 8838, 11339, 12967, 6545, 9623, 934, 2350, 4367, 2657, 11213, 11939, 5246, 460, 8565, 3284, 12825, 7190, 6152, 1108, 13285, 7224, 4092, 5219, 13419, 9784, 5129, 5529, 13472, 1368, 2873, 9598, 7628, 12303, 8624, 8192, 4728, 7359, 6699, 871, 6114, 3318, 4118, 4155, 6322, 2955, 3302, 6352, 10543, 11506, 1751, 13833, 12774, 10852, 7209, 6969, 13812, 13522, 454, 13505, 12514, 12023, 10032, 12112, 7438, 10991, 13729, 1547, 2132, 12683, 9529, 2446, 5072, 11097, 1800, 4343, 13338, 4905, 6184, 1787, 5143, 5834, 12322, 8359, 3863, 2888, 8152, 429, 4995, 13067, 4534, 9665, 351, 1685, 7411, 617, 4478, 10508, 6777, 3328, 6143, 11359, 13463, 7022, 5987, 3214, 8553, 11995, 12760, 12067, 12274, 3299, 8969, 10389, 13010, 11828, 3357, 4758, 13650, 3034, 3513, 13604, 608, 3381, 10811, 11844, 9065, 8695, 6861, 6776, 12636, 12926, 2967, 4566, 10588, 3106, 12889, 10857, 10605, 48, 4807, 6193, 11283, 4435, 7058, 1882, 6647, 9521, 8997, 3197, 707, 3904, 1730, 8136, 8199, 10088, 9876, 3261, 2307, 13747, 4455, 7849, 13676, 10805, 12902, 11396, 8206, 11701, 6129, 7047, 6019, 8208, 10421, 8491, 1190, 2382, 8030, 3522, 3480, 3732, 7698, 7041, 8036, 8908, 4765, 2012, 8926, 3019, 10965, 8573, 7362, 3051, 12422, 5773, 12376, 1027, 6648, 13731, 13699, 7853, 9063, 11874, 1587, 3533, 7996, 13720, 5210, 5503, 3599, 4609, 4461, 9166, 10301, 4827, 1506, 12400, 10846, 1095, 13441, 13300, 1632, 9775, 4313, 10525, 643, 13565, 8015, 7284, 1702, 10890, 10257, 11161, 10557, 12739, 4032, 11994, 10204, 9023, 10119, 2914, 3954, 5428, 11134, 12266, 10460, 5845, 1245, 11252, 2195, 709, 7092, 3559, 6515, 11132, 5139, 10989, 12893, 10937, 1277, 3073, 2286, 2784, 5793, 4203, 4624, 7607, 5256, 4295, 4438, 2674, 6771, 6911, 1829, 4616, 4512, 9936, 911, 12566, 2108, 9902, 7214, 1261, 8247, 12922, 12040, 880, 12474, 1817, 2604, 11263, 3792, 12199, 4227, 5621, 270, 9570, 8196, 7599, 8890, 3645, 1184, 10037, 1846, 8572, 13578, 3187, 11660, 5389, 7079, 4491, 202, 5183, 11329, 10542, 10682, 9438, 11845, 1395, 5121, 5163, 4561, 1304, 5212, 29, 6908, 4236, 12531, 4140, 10604, 13531, 3237, 2281, 9069, 10464, 3849, 5234, 4737, 588, 4319, 4471, 5160, 8829, 246, 13488, 9603, 13308, 7848, 2127, 9966, 12931, 13169, 1998, 11490, 11869, 13319, 13360, 12981, 8458, 4751, 5535, 2095, 3365, 172, 903, 1641, 8998, 13660, 13216, 13696, 1792, 5427, 13711, 10956, 2312, 2577, 6779, 1515, 10804, 10942, 6177, 5420, 13312, 4359, 10607, 4101, 1041, 6868, 8528, 12362, 3390, 9481, 12641, 4743, 7570, 893, 10625, 10976, 6260, 6281, 10926, 5691, 8027, 1621, 2484, 1369, 11758, 12273, 5863, 7119, 6557, 3240, 11457, 22, 12311, 8032, 7504, 311, 9600, 5636, 2680, 6364, 2438, 11734, 5097, 12619, 5889, 8238, 9990, 3124, 7809, 13172, 3593, 9869, 12146, 12271, 3961, 13668, 5701, 2925, 5469, 4676, 9624, 11635, 3565, 12842, 11404, 5854, 7687, 10945, 11646, 11955, 7533, 9188, 8013, 5350, 11762, 3633, 2058, 1592, 11921, 9978, 2026, 2695, 10258, 7869, 7249, 7116, 9202, 1429, 13703, 2747, 305, 11434, 348, 12861, 8694, 4773, 2396, 7304, 2426, 12442, 788, 1205, 3320, 13435, 3894, 4545, 12264, 5552, 4589, 7352, 12572, 6827, 8465, 9352, 13576, 5146, 3708, 2285, 5374, 3934, 782, 10593, 9675, 9429, 3700, 9171, 7868, 2614, 7936, 6730, 12789, 3332, 9505, 5619, 4731, 13244, 958, 11580, 5292, 10626, 7355, 13164, 10154, 1786, 8188, 9926, 1708, 12790, 7330, 3501, 8917, 7434, 7705, 11031, 11226, 7883, 9112, 849, 3056, 13348, 2215, 13716, 4651, 5731, 932, 6506, 2700, 10140, 8719, 3296, 8216, 6802, 7675, 3864, 2521, 4614, 12297, 3433, 12449, 332, 6880, 12539, 10997, 11595, 13278, 2949, 12188, 1352, 11847, 10941, 4114, 5244, 9361, 3940, 8163, 11340, 11200, 7953, 12152, 7756, 7393, 5215, 11384, 11618, 1873, 7428, 11697, 1793, 8368, 1603, 10776, 9045, 11855, 2556, 11381, 6816, 13133, 10121, 3096, 11559, 8814, 10709, 12134, 2872, 9478, 1386, 3356, 1517, 12219, 5008, 5696, 9709, 5424, 4070, 3803, 4469, 8830, 3355, 12658, 9086, 1935, 8597, 693, 12141, 8952, 1474, 6351, 550, 814, 150, 565, 8420, 396, 6867, 5955, 6901, 2721, 12904, 1543, 11639, 8012, 5726, 5151, 10494, 12304, 6596, 12468, 3018, 491, 12370, 6979, 13445, 12989, 10209, 12879, 2546, 12809, 6411, 211, 1505, 353, 2995, 12836, 12535, 8476, 4465, 9005, 3186, 5037, 9485, 3358, 4467, 10322, 7776, 6896, 8117, 10609, 13197, 2222, 146, 7854, 8912, 12844, 6073, 7648, 867, 5993, 9207, 12651, 2856, 9566, 3435, 13826, 5506, 8370, 8243, 4524, 10961, 9160, 3583, 3259, 9575, 3183, 10587, 9274, 4173, 73, 10531, 4985, 4620, 1979, 2016, 7303, 13690, 9167, 5262, 8302, 13233, 6059, 6651, 2842, 5568, 3958, 2953, 11577, 4157, 8128, 7144, 6377, 13624, 3135, 3021, 1944, 6179, 10574, 9556, 6158, 3785, 7810, 13687, 11256, 2664, 10104, 2778, 3649, 3722, 11280, 1026, 8813, 3573, 5648, 2563, 4596, 3891, 5851, 13242, 8785, 6044, 6821, 4488, 896, 6347, 881, 10786, 7693, 2981, 10054, 3788, 1507, 5778, 5720, 7475, 532, 10812, 3415, 1933, 4892, 359, 5132, 7452, 5201, 4708, 1513, 4339, 1316, 7338, 6058, 2686, 9870, 6542, 2082, 12877, 13468, 6449, 57, 8277, 8022, 6588, 5046, 12784, 1300, 13400, 9297, 6369, 10619, 4996, 10310, 10501, 1828, 6075, 9980, 10453, 7981, 5714, 3614, 12702, 5666, 7377, 8176, 1159, 13104, 1448, 10966, 1542, 9843, 5652, 4836, 7481, 3072, 5001, 5425, 8399, 4942, 9162, 7564, 6637, 10854, 4148, 8280, 7760, 7571, 7111, 11377, 8307, 13526, 916, 1579, 2835, 9706, 1878, 8233, 6772, 12652, 9260, 2229, 4084, 5779, 2768, 8806, 7578, 9394, 1201, 7713, 4457, 9243, 8907, 5167, 7191, 11763, 8531, 7091, 13746, 12439, 2172, 9062, 13443, 3853, 7185, 2359, 11105, 4310, 10174, 317, 11341, 8237, 1313, 13442, 2620, 8291, 8297, 10553, 2284, 9637, 12741, 9219, 9979, 10873, 10753, 8262, 5540, 1865, 6034, 3935, 4156, 11018, 10313, 7591, 13683, 5643, 13742, 9053, 2241, 8577, 1673, 5402, 10988, 4010, 8928, 418, 8854, 992, 12690, 8073, 2939, 12506, 502, 3058, 8650, 10194, 1707, 8200, 8585, 6258, 8252, 10589, 12969, 7431, 5565, 13754, 579, 10876, 6826, 12158, 8328, 9141, 7179, 8783, 6454, 13613, 2823, 5164, 6866, 11524, 9681, 2694, 11484, 11282, 12805, 11107, 4877, 12585, 8649, 10990, 4217, 1851, 5287, 6501, 11458, 6500, 10769, 261, 11840, 1613, 7422, 9501, 4141, 7123, 11790, 13327, 9008, 5628, 1956, 1079, 9626, 5563, 5057, 4784, 4284, 3420, 13206, 9230, 2219, 858, 6717, 6790, 2033, 13741, 13276, 548, 4223, 7821, 10528, 2248, 11510, 213, 11579, 9894, 12832, 12394, 1653, 555, 11585, 4427, 3767, 11582, 3655, 1088, 6547, 6433, 2985, 11912, 8545, 3839, 816, 8021, 433, 2749, 12313, 1647, 8376, 8903, 6120, 1131, 512, 7530, 11159, 6556, 8985, 3816, 8467, 6251, 1840, 11387, 4846, 2275, 3315, 1437, 913, 8953, 755, 4864, 5040, 4107, 8765, 3531, 7928, 10962, 13341, 1217, 1446, 9319, 5990, 5877, 2508, 8395, 362, 5598, 7890, 8817, 5860, 13449, 3405, 1259, 3225, 12267, 1415, 10334, 7395, 13293, 2918, 879, 2324, 989, 9459, 10283, 5159, 4656, 3239, 7920, 9636, 5812, 5338, 9379, 2440, 8125, 9328, 4663, 3724, 1255, 2079, 1037, 11121, 1123, 5100, 5266, 1006, 2260, 4074, 4906, 5821, 12010, 12253, 9145, 3730, 56, 11168, 3448, 4872, 7734, 10144, 8236, 2589, 752, 4378, 11708, 2007, 7250, 5918, 13135, 8801, 10537, 5304, 4636, 6598, 6530, 5637, 11215, 10532, 720, 7493, 7335, 11849, 8810, 13219, 7758, 4957, 12314, 7029, 7291, 6412, 4317, 3861, 12460, 13026, 13275, 4934, 7719, 11632, 13575, 5566, 3526, 13645, 8098, 13454, 7543, 8104, 13271, 13145, 6271, 4555, 106, 533, 9223, 8051, 12495, 11835, 7864, 1858, 2338, 4830, 7445, 6384, 6534, 3576, 10112, 5521, 10092, 6015, 6320, 1499, 13281, 6434, 3749, 12599, 2249, 6659, 2530, 4105, 1303, 8254, 3813, 12483, 13373, 367, 10036, 10913, 2626, 8122, 2728, 8421, 7515, 7483, 10862, 973, 2200, 12878, 13296, 1962, 8327, 7346, 2130, 799, 10091, 4480, 11037, 2355, 8902, 10707, 3963, 7104, 9031, 638, 1651, 1004, 13416, 9814, 5669, 10663, 7131, 11301, 6385, 3227, 12654, 13516, 11655, 11747, 12885, 3694, 11890, 9258, 5062, 3131, 9973, 2339, 316, 936, 12151, 10136, 3519, 4729, 7880, 7548, 6264, 11195, 13695, 5908, 14, 7254, 10143, 3607, 5557, 11923, 132, 8731, 9337, 11733, 3459, 5700, 1127, 9943, 10416, 188, 259, 7832, 10497, 1275, 11106, 12403, 12065, 12241, 711, 5749, 6429, 12954, 11928, 5780, 4053, 4530, 13238, 4436, 7469, 13739, 2228, 11779, 10329, 11560, 1450, 3887, 1124, 3254, 4739, 3784, 3721, 10695, 4868, 6235, 7329, 8594, 7646, 7367, 8162, 3307, 5041, 3937, 13795, 59, 11391, 9500, 11292, 6103, 11047, 4052, 12956, 13543, 4693, 12917, 6366, 12409, 6439, 738, 11689, 11099, 4595, 5760, 1157, 9839, 2391, 4255, 4572, 6973, 5286, 7174, 2134, 2325, 1845, 1320, 12107, 5169, 2146, 13186, 2280, 9671, 5559, 7609, 7709, 12046, 13245, 2619, 6416, 4296, 11354, 1602, 8566, 1289, 7221, 4186, 9313, 4064, 12964, 7573, 10722, 4722, 12119, 12473, 12807, 11186, 3698, 1589, 398, 10320, 9635, 6807, 7943, 6194, 12436, 8011, 12965, 1870, 8323, 4559, 11937, 2224, 7804, 12212, 13709, 4029, 11455, 2558, 5683, 5694, 12798, 1372, 8685, 9664, 2009, 3982, 6897, 7527, 8166, 1601, 10729, 2180, 184, 10471, 10253, 45, 10646, 3818, 375, 4944, 11965, 8156, 10603, 4733, 7309, 4932, 10848, 8348, 6725, 2965, 2467, 13272, 13099, 960, 9124, 3110, 8735, 5570, 1528, 9696, 9404, 13670, 7539, 5092, 11365, 3330, 6555, 10009, 2198, 4285, 3695, 12561, 556, 1740, 9545, 177, 4133, 5586, 3889, 10281, 9030, 12630, 2819, 11792, 9622, 2866, 7975, 9907, 10371, 11240, 6418, 1916, 10165, 7215, 5086, 3084, 1553, 6124, 11417, 11741, 8842, 2673, 3641, 5604, 10027, 10916, 483, 10675, 9324, 10249, 13283, 7725, 8574, 7922, 8179, 5513, 13519, 13413, 5647, 3869, 2000, 7838, 10430, 12185, 6156, 10819, 8654, 1924, 7297, 11290, 2668, 13626, 7466, 8361, 5150, 8083, 11474, 2381, 3482, 13399, 12703, 12450, 5728, 312, 13196, 3478, 1282, 6261, 1013, 9595, 2793, 697, 7337, 1580, 11520, 9174, 6455, 9006, 1238, 1361, 13013, 12169, 11236, 11986, 376, 8514, 13014, 5499, 519, 3425, 13031, 6611, 10473, 1527, 7955, 12286, 10414, 5712, 1309, 926, 12911, 2494, 5348, 10564, 89, 13167, 2006, 5, 12591, 35, 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3794, 4073, 13477, 8034, 9705, 10390, 11409, 118, 6052, 5402, 7375, 5922, 130, 2639, 523, 3399, 7215, 12506, 6251, 1423, 61, 12989, 4019, 10369, 5607, 10347, 62, 8343, 2282, 9801, 578, 2287, 2962, 11914, 9434, 6288, 7675, 3873, 2614, 6501, 12717, 9161, 8212, 1707, 5131, 9874, 6043, 13553, 6378, 374, 268, 13681, 12944, 10221, 5653, 13596, 1583, 3581, 9303, 10761, 1159, 11385, 5562, 8272, 1887, 4520, 3320, 4650, 10104, 12251, 11306, 3442, 553, 3257, 1597, 4784, 13818, 5820, 8251, 8890, 10728, 10549, 18, 13067, 3705, 846, 1013, 9818, 10865, 5806, 12536, 13536, 5429, 7508, 9428, 8685, 3250, 1846, 8293, 12600, 2792, 1767, 12552, 12529, 11919, 4777, 4394, 49, 4698, 4517, 7859, 4923, 13166, 8166, 9948, 4682, 4834, 11893, 9954, 6531, 2420, 2339, 7401, 10673, 5600, 11678, 12398, 12819, 1535, 6229, 577, 12958, 4392, 953, 13283, 7651, 11817, 10330, 12363, 11998, 3682, 11967, 3003, 897, 9171, 8225, 7490, 2908, 10266, 13470, 13655, 10763, 11018, 6319, 1295, 9014, 7574, 2702, 5134, 2814, 6983, 2647, 6286, 179, 12757, 1938, 9113, 11404, 2173, 15, 6541, 13080, 6368, 11281, 3063, 3256, 10703, 6338, 7926, 13547, 9324, 11558, 12359, 5240, 8471, 8020, 4845, 3426, 13135, 2630, 5606, 2716, 5514, 11248, 153, 1875, 11633, 762, 881, 2831, 2361, 10222, 2570, 5962, 7437, 4446, 9822, 7436, 2186, 9345, 566, 11017, 4562, 1184, 5112, 2585, 2848, 11980, 9640, 4871, 13125, 4131, 12916, 12508, 11685, 7099, 5594, 10360, 4160, 11621, 3937, 1331, 6164, 13363, 6801, 13338, 6413, 13112, 11126, 3596, 3239, 9104, 1552, 12573, 3192, 4405, 13355, 6246, 29, 84, 7075, 12147, 11579, 5488, 8179, 6676, 4184, 1415, 1418, 10809, 12646, 13514, 3816, 2477, 12311, 1286, 10705, 10938, 1040, 10356, 1892, 520, 160, 8342, 1311, 13013, 1882, 10135, 4967, 3173, 5380, 8995, 5293, 2120, 12564, 2217, 3966, 10436, 5567, 7943, 9971, 12253, 6149, 9830, 6402, 7182, 12903, 694, 8132, 11262, 32, 7849, 12613, 6737, 1350, 7140, 11549, 7692, 9234, 7931, 13788, 9242, 4331, 6656, 3390, 11742, 9338, 11527, 3213, 11492, 7012, 5378, 10502, 1823, 4156, 5096, 9725, 9088, 9462, 2866, 5349, 357, 4428, 10628, 10217, 12876, 1152, 10950, 4943, 1774, 8918, 9886, 232, 13104, 13379, 8730, 12532, 6555, 1522, 9112, 6793, 8046, 8974, 749, 3678, 10409, 5001, 4344, 11289, 2724, 5304, 12883, 6239, 10116, 1829, 8469, 5311, 4426, 2296, 4964, 8356, 2326, 5198, 11210, 9500, 4211, 9849, 1349, 8398, 4703, 4383, 975, 3558, 693, 3299, 6876, 8648, 6520, 11083, 658, 294, 9159, 11408, 12113, 2062, 13162, 4715, 7635, 11448, 13512, 10587, 12955, 5374, 3637, 4655, 12354, 8153, 2517, 11874, 10, 2658, 7858, 12317, 2352, 2336, 894, 1209, 8122, 5146, 2823, 7706, 848, 5474, 5673, 6744, 6414, 4652, 2659, 9194, 4051, 10228, 1515, 7617, 3311, 63, 178, 588, 3656, 12505, 4721, 12737, 12439, 6020, 2582, 9493, 1116, 10633, 7172, 13312, 13835, 9579, 12302, 6864, 4267, 9177, 7970, 10154, 12483, 5933, 3838, 8639, 665, 5026, 12541, 2855, 10414, 8063, 1021, 2303, 1085, 7393, 9824, 10570, 12616, 12872, 3793, 3289, 1631, 8800, 1432, 5218, 13740, 26, 9465, 12151, 3374, 1709, 3264, 11092, 6739, 8173, 3050, 2046, 11717, 7547, 7505, 12521, 426, 10281, 5905, 9680, 2018, 13050, 88, 2076, 11811, 8519, 10729, 4983, 2265, 9205, 4215, 8152, 10213, 152, 11744, 12327, 11076, 2915, 9658, 6410, 2033, 2474, 128, 11246, 1218, 3643, 1785, 7151, 215, 6836, 3122, 50, 251, 13571, 375, 2014, 7184, 10415, 11318, 2661, 8442, 7749, 9851, 12043, 12094, 5203, 12495, 99, 13153, 6584, 6777, 4133, 7580, 6174, 7084, 202, 994, 4406, 9810, 1523, 11496, 4386, 12756, 12800, 2733, 3172, 10678, 4243, 7144, 5216, 3471, 10806, 2081, 7841, 10158, 6892, 1538, 11946, 10783, 6307, 1281, 8095, 10592, 1950, 12640, 8382, 10733, 11531, 194, 2933, 2181, 8171, 2735, 324, 13382, 3509, 2314, 8061, 4091, 13352, 5695, 2213, 11174, 4021, 6549, 7234, 3354, 4815, 3459, 575, 12123, 4289, 12910, 7346, 2143, 9912, 12796, 5776, 12515, 12209, 4370, 7678, 6103, 4319, 10811, 507, 9212, 7956, 3105, 855, 10194, 10999, 12370, 2518, 6661, 11722, 5446, 10328, 8983, 5955, 4491, 12312, 6562, 8260, 2948, 10894, 6219, 5729, 6357, 12361, 9760, 9043, 13608, 3397, 1299, 3775, 6415, 12225, 6729, 13609, 10210, 13591, 7056, 3891, 12568, 1768, 3835, 7225, 3771, 9383, 4569, 13801, 6511, 12408, 10766, 10551, 6466, 2876, 1851, 6039, 7233, 3587, 5888, 6386, 7935, 6817, 2998, 12760, 11258, 12413, 9453, 10254, 10098, 12549, 2746, 10137, 5627, 9831, 11039, 817, 149, 4745, 13201, 5266, 5689, 4960, 8897, 8944, 12319, 13746, 9747, 7194, 5024, 1710, 13004, 13271, 7591, 11387, 10471, 3765, 10024, 6548, 1131, 10972, 4575, 2285, 12634, 4997, 1373, 13085, 1843, 6169, 12292, 10687, 11021, 7999, 86, 345, 7877, 11086, 2101, 5365, 6768, 4096, 10543, 3971, 8855, 12934, 10929, 3526, 1543, 9095, 5453, 13679, 12898, 8230, 2496, 7744, 11184, 7993, 6771, 12880, 7625, 7699, 5900, 3017, 6955, 3058, 3628, 6046, 6073, 5684, 10103, 2821, 4961, 1558, 2041, 3038, 2093, 3316, 5401, 8623, 57, 3530, 8989, 8513, 12212, 10164, 4258, 1981, 11673, 6040, 567, 4744, 13504, 4876, 6972, 491, 10975, 3647, 1052, 11240, 3018, 11997, 7276, 5825, 1236, 1360, 6473, 6151, 9789, 5166, 3428, 11973, 1275, 9724, 13227, 2883, 6180, 5286, 1078, 10562, 10303, 5116, 12698, 13064, 9946, 6503, 9945, 8015, 9258, 12623, 4581, 5754, 4547, 2476, 12617, 1773, 4249, 5295, 6217, 4790, 8625, 10771, 5632, 7912, 8824, 3324, 6054, 1049, 764, 2381, 2378, 10067, 3489, 2516, 1744, 3957, 2091, 11141, 3349, 12190, 6964, 12098, 1990, 600, 9857, 6049, 12626, 7122, 5491, 6678, 9520, 8345, 7341, 2554, 1412, 13215, 2930, 5951, 4237, 9293, 9289, 6634, 10726, 4812, 9758, 10997, 2895, 9951, 11884, 1899, 4770, 2295, 143, 8388, 3448, 8362, 5348, 12328, 6934, 2418, 4013, 372, 3640, 6274, 5856, 2997, 8416, 1355, 13197, 10852, 6223, 13569, 6759, 7944, 7432, 1869, 11787, 3928, 5333, 11227, 5813, 5495, 10079, 6272, 3095, 12901, 1160, 9411, 10240, 6420, 336, 561, 8410, 13558, 2238, 938, 12965, 2523, 13116, 3269, 3802, 2559, 7686, 11444, 7703, 8610, 11455, 410, 6072, 8017, 10691, 7548, 12258, 773, 11928, 560, 2775, 3770, 1217, 10483, 3754, 7235, 7688, 10632, 5827, 8941, 1397, 1344, 12814, 5765, 8254, 6443, 13276, 11718, 5248, 6509, 5396, 12599, 10768, 11329, 6302, 11822, 1440, 10823, 8959, 6704, 10182, 12178, 5936, 11654, 5735, 2269, 9832, 5366, 1471, 7660, 168, 11727, 6569, 6218, 1682, 8792, 12012, 12246, 3023, 247, 1055, 5503, 9683, 8557, 10212, 2607, 5090, 10653, 7334, 7810, 4952, 9267, 1387, 2712, 13664, 5337, 6066, 9263, 12585, 8837, 1745, 3452, 3401, 1947, 4307, 11334, 5268, 12038, 2380, 11186, 5687, 5083, 12816, 13529, 3097, 4301, 6942, 2828, 3091, 4835, 5612, 11292, 2146, 3506, 6129, 8404, 1928, 11378, 10677, 12160, 7807, 8089, 5748, 9486, 12365, 8149, 7111, 7792, 2575, 6852, 5274, 3383, 11659, 4376, 7820, 5947, 3233, 13154, 9937, 660, 8401, 3304, 7302, 2563, 10308, 13291, 13107, 1778, 13638, 5892, 6048, 13303, 9067, 11168, 8323, 222, 13190, 6770, 12929, 10206, 6281, 3604, 10746, 3818, 11619, 369, 8127, 7791, 12940, 5871, 8363, 4260, 11098, 1718, 13089, 971, 2611, 11508, 12562, 9245, 6627, 6874, 2344, 8619, 9249, 4826, 3215, 8767, 11412, 6838, 1068, 9778, 8716, 9268, 6831, 1932, 3761, 11357, 4806, 6207, 1081, 7854, 9887, 574, 7402, 6489, 1970, 2985, 13426, 6786, 9455, 11457, 6773, 1542, 4152, 3160, 12676, 7307, 5013, 8381, 8075, 10198, 3590, 541, 11312, 365, 6238, 12097, 12244, 5557, 11853, 245, 6094, 5500, 7978, 11986, 13815, 516, 6870, 842, 12086, 171, 7844, 7387, 472, 5228, 1246, 12652, 7518, 5652, 12978, 13250, 9682, 386, 7774, 11445, 4522, 8828, 11130, 3118, 416, 996, 10227, 636, 3784, 6140, 13432, 1388, 7485, 11661, 1705, 3514, 1546, 2410, 12390, 1219, 13725, 10651, 6306, 2490, 9864, 8245, 8853, 808, 10214, 8896, 6889, 389, 12264, 9460, 12083, 2335, 113, 5173, 10180, 5082, 7679, 6494, 7460, 10002, 11784, 3993, 7278, 4209, 8181, 12531, 4388, 1635, 10782, 8060, 10186, 9700, 6689, 6125, 4950, 3351, 122, 916, 4255, 8759, 5334, 8703, 12708, 3429, 11023, 5122, 12494, 9620, 7169, 1399, 2422, 6313, 8156, 12830, 12282, 8048, 8999, 6345, 6614, 6799, 4144, 284, 1898, 1759, 10312, 7179, 12250, 3066, 11011, 4866, 290, 7666, 9509, 7834, 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10181, 7284, 1698, 8784, 6950, 11419, 9341, 6563, 13619, 8509, 12602, 309, 2605, 984, 2037, 11839, 7941, 4677, 5398, 7471, 7979, 4207, 5803, 12858, 2901, 9931, 2108, 5111, 10468, 1967, 7107, 1917, 8613, 710, 1310, 6658, 1322, 6595, 5197, 4262, 8316, 1711, 6316, 4949, 12666, 4524, 9146, 4153, 3153, 955, 5302, 7206, 1254, 4601, 10821, 4751, 624, 11449, 9286, 8680, 7540, 3205, 958, 10029, 3798, 4895, 4756, 3519, 7560, 7876, 5583, 12670, 4283, 5620, 6465, 9266, 5588, 3353, 2537, 9775, 12522, 3867, 3772, 12274, 13245, 423, 2325, 8077, 7555, 3550, 5093, 3127, 7119, 10474, 2977, 1676, 9664, 9415, 3012, 8735, 4565, 11733, 2444, 13152, 2897, 1262, 9531, 8450, 579, 2858, 6805, 12636, 5970, 5341, 1580, 2005, 13758, 13063, 3821, 936, 4829, 10431, 12525, 5975, 11951, 1285, 607, 3052, 8199, 12667, 3782, 6071, 5759, 9535, 678, 7291, 8971, 2884, 10959, 13750, 11534, 13555, 11513, 13737, 1880, 11150, 8871, 2053, 2770, 1094, 686, 7691, 377, 746, 5279, 6356, 13396, 1916, 4286, 12040, 849, 13025, 2384, 11235, 4151, 11164, 5987, 12856, 3372, 10096, 4713, 4213, 189, 9040, 2252, 6945, 6296, 2276, 9142, 2188, 13797, 11077, 5995, 12173, 12630, 7487, 8451, 11249, 6963, 8749, 8985, 8794, 1458, 7801, 12056, 10411, 11803, 3486, 9442, 8802, 12731, 820, 12607, 8072, 5385, 6696, 1477, 11231, 6653, 10652, 893, 13436, 12388, 12296, 7239, 2685, 4038, 13693, 12942, 5664, 495, 8528, 8337, 4466, 2765, 639, 5753, 6044, 211, 4043, 7023, 8980, 11752, 2015, 7306, 10316, 8872, 9973, 7368, 2086, 5713, 13261, 6441, 1287, 13029, 9109, 7609, 7534, 1566, 6984, 1266, 4288, 1250, 13458, 13623, 4252, 3723, 5427, 2594, 4502, 200, 9214, 2204, 5851, 976, 1025, 6060, 2141, 3874, 3768, 9962, 11584, 7246, 10967, 4358, 419, 9626, 9670, 12014, 6134, 13785, 2902, 5482, 12295, 8592, 5232, 803, 7078, 6919, 3531, 12140, 597, 7374, 9933, 4593, 9247, 8246, 7649, 10989, 13121, 11495, 13117, 8295, 992, 9638, 9081, 8565, 13791, 12763, 10090, 4121, 1119, 12817, 9478, 11026, 8467, 1454, 6019, 8357, 12848, 13700, 7486, 5903, 2009, 2198, 8026, 5718, 13811, 17, 13667, 9788, 7985, 8094, 6380, 2289, 9123, 11167, 13176, 3135, 6534, 6691, 542, 7891, 13452, 7418, 8298, 8912, 6684, 8952, 1751, 13031, 7677, 1467, 3567, 9637, 9952, 10539, 2088, 5039, 8635, 6333, 730, 4278, 7301, 9219, 7446, 13109, 4154, 7966, 335, 12257, 10801, 2036, 9173, 6761, 4574, 5899, 8622, 3111, 314, 11323, 8972, 10709, 12278, 3565, 8854, 8968, 3568, 8186, 7788, 10546, 7578, 11420, 10275, 9215, 646, 4798, 8472, 8165, 2481, 10974, 12396, 11036, 11767, 10676, 525, 6646, 6308, 6225, 1641, 340, 8462, 7335, 2755, 1862, 4549, 12063, 2011, 8218, 13595, 4408, 11144, 6727, 4710, 6644, 2812, 13803, 10553, 2996, 6228, 11232, 10461, 4532, 5764, 4921, 1848, 5723, 12373, 13394, 5189, 10039, 4994, 8938, 8487, 1719, 6336, 2872, 9370, 6733, 6823, 76, 12539, 9367, 12018, 358, 6731, 11881, 12514, 2277, 7895, 1840, 8434, 4794, 12479, 6560, 4334, 7869, 10512, 728, 5629, 601, 3516, 11721, 1089, 13306, 6612, 7648, 8114, 11490, 12981, 8539, 618, 7210, 813, 175, 1569, 229, 2077, 9566, 2218, 10905, 264, 11638, 7230, 12490, 5792, 13429, 3917, 3046, 10298, 13357, 1757, 7232, 2323, 3639, 45, 6461, 10742, 4618, 6778, 1003, 3865, 2561, 5195, 13761, 13273, 7740, 5911, 3430, 12853, 8237, 8960, 8485, 401, 2699, 9208, 1457, 5683, 10895, 4859, 11622, 5968, 6960, 13498, 9483, 12216, 10326, 7321, 7937, 8677, 7177, 218, 7242, 2023, 11564, 12720, 2834, 5426, 10437, 7879, 350, 7771, 2583, 6436, 7802, 1594, 3408, 4311, 7264, 1203, 2752, 13178, 10872, 4867, 11596, 4192, 9229, 6253, 5226, 9355, 6110, 3498, 10136, 6512, 824, 7883, 6081, 9839, 1684, 7108, 6244, 3717, 2665, 8603, 2756, 722, 3695, 11446, 7394, 3207, 10605, 393, 9201, 11956, 3064, 6124, 2272, 11010, 13072, 8922, 9676, 9064, 6559, 5686, 13006, 11498, 12380, 12668, 5034, 9659, 4974, 11060, 8507, 9079, 13821, 5130, 11836, 3404, 733, 7129, 5515, 3473, 2822, 10802, 9695, 1190, 1894, 9150, 9585, 4911, 3178, 96, 12579, 6342, 5339, 5937, 12902, 8700, 8655, 11955, 11516, 13556, 5215, 3088, 13686, 8585, 1297, 672, 7008, 1101, 9182, 5566, 8176, 9115, 9644, 8681, 5883, 7442, 1271, 240, 6968, 715, 11458, 2729, 11004, 2678, 7014, 3270, 1338, 4675, 1693, 1018, 818, 13717, 9077, 5957, 12203, 10663, 6263, 13156, 4414, 11856, 850, 5077, 3599, 4361, 7050, 11757, 12962, 12122, 7300, 10607, 5741, 431, 7871, 8840, 6845, 836, 208, 3013, 9427, 3725, 13579, 11716, 11014, 2612, 456, 6828, 7040, 12783, 3630, 4056, 7554, 6474, 4508, 2987, 12416, 1027, 115, 1755, 7705, 12261, 8571, 5669, 305, 11414, 4477, 10854, 4166, 6665, 7500, 3037, 3359, 10688, 1850, 3894, 6326, 9715, 3496, 6909, 13744, 12580, 5624, 6551, 11891, 9192, 5708, 8778, 4820, 11667, 11883, 12656, 7296, 5960, 8630, 8970, 6513, 12133, 11242, 7217, 4309, 13246, 1564, 157, 12862, 6970, 3405, 2045, 9660, 7270, 400, 7840, 238, 9899, 1941, 1514, 9909, 11217, 4605, 4483, 3767, 5100, 1936, 640, 9977, 33, 5552, 3325, 4451, 13544, 6145, 347, 921, 11991, 277, 42, 6837, 13773, 6779, 860, 1032, 4469, 1067, 3307, 7428, 9726, 7034, 4268, 4418, 11775, 12924, 3633, 809, 2762, 13091, 10435, 10123, 12897, 4861, 11565, 7113, 10577, 6914, 9340, 1731, 8466, 8550, 3592, 12078, 13721, 3586, 3751, 13490, 4501, 9625, 9854, 867, 3101, 7758, 11486, 2066, 4373, 1787, 1015, 3067, 5019, 5910, 5031, 9791, 458, 7713, 9312, 9840, 8530, 4941, 4697, 11224, 13160, 7072, 1176, 2411, 12650, 1876, 3368, 4366, 11922, 6017, 4364, 13315, 620, 6774, 156, 3837, 11301, 1233, 12986, 10936, 12773, 6594, 5972, 1172, 289, 193, 12811, 9490, 8502, 342, 3297, 13805, 13249, 11934, 10196, 388, 5717, 1585, 10239, 8586, 674, 10462, 9477, 12368, 9120, 12674, 5010, 6431, 12348, 13202, 6974, 7886, 5303, 10387, 9609, 1022, 12128, 11900, 1695, 9369, 9294, 9145, 7668, 6323, 2619, 2669, 9131, 6554, 9845, 5361, 4523, 2649, 6260, 924, 6558, 1868, 3620, 3080, 9276, 8678, 11798, 12186, 1549, 3809, 13358, 2192, 4456, 7272, 7973, 13138, 10752, 948, 2965, 12293, 6752, 13545, 2663, 12455, 4863, 3589, 2499, 2503, 1699, 6387, 74, 13012, 7784, 1010, 12238, 3388, 9420, 9921, 5430, 12812, 13472, 5766, 6209, 8018, 12013, 10675, 5277, 4714, 6998, 10069, 7571, 9154, 363, 5737, 4742, 11681, 9390, 10695, 13046, 6757, 11468, 8118, 8807, 1270, 13560, 1241, 5298, 11116, 9083, 10569, 4224, 9953, 8315, 1210, 7416, 6822, 8188, 4244, 3075, 2923, 6893, 2116, 7967, 2107, 11533, 13184, 8081, 1480, 2117, 6335, 9514, 9716, 10832, 4225, 2946, 8662, 1798, 13296, 7123, 13771, 2390, 4951, 1430, 540, 6254, 2170, 11904, 13285, 10853, 112, 11937, 570, 7823, 7053, 11624, 4062, 12371, 6883, 12813, 12211, 13254, 3332, 383, 8629, 5784, 8277, 7728, 1902, 436, 13830, 1879, 13422, 7952, 1464, 3449, 5186, 4265, 10249, 7842, 7489, 10272, 10010, 11844, 1470, 5709, 2397, 1726, 9031, 4810, 7974, 1863, 4945, 1986, 10626, 9200, 4164, 4254, 6106, 7769, 6978, 11133, 6256, 3629, 12477, 6927, 13342, 9027, 5262, 204, 10398, 7766, 13705, 11254, 2655, 12276, 12275, 562, 583, 10233, 13716, 12582, 5466, 10192, 4063, 7462, 1692, 5733, 7324, 2197, 3487, 87, 1592, 4687, 13523, 24, 10756, 8478, 12325, 4097, 5994, 12693, 3166, 8012, 12972, 10496, 13508, 295, 8098, 7600, 10215, 11601, 8091, 11664, 10915, 1791, 12461, 4519, 530, 13583, 10920, 7863, 11263, 13258, 8641, 9880, 10660, 6518, 1452, 8409, 2645, 7882, 11577, 11310, 7391, 4050, 13690, 7164, 8661, 2017, 12215, 5950, 11500, 5324, 12345, 6765, 11215, 1946, 7361, 3327, 5475, 318, 11019, 3124, 6947, 2332, 10797, 8344, 13597, 8978, 5556, 11411, 11025, 8799, 1392, 12336, 7513, 1064, 8806, 13163, 6203, 8736, 11943, 7537, 4737, 1293, 2019, 10917, 6875, 12241, 8525, 13368, 212, 9386, 4671, 8596, 8160, 5483, 8961, 3053, 10332, 12350, 8992, 622, 9737, 6528, 13451, 9631, 11341, 10013, 10759, 11592, 5971, 522, 3114, 12554, 11933, 13434, 8161, 4683, 8052, 4488, 9866, 548, 8979, 1573, 11415, 8900, 3190, 473, 8374, 9090, 4374, 4939, 1342, 4746, 4384, 8299, 4869, 5868, 8055, 2035, 2306, 3493, 9187, 27, 12975, 5211, 12247, 9374, 2739, 3119, 9938, 10234, 2551, 11171, 2006, 5582, 12379, 3666, 13634, 13549, 1642, 10270, 13281, 2259, 7628, 11620, 9426, 1606, 1780, 1861, 8239, 1316, 3659, 7968, 13256, 5060, 6819, 12581, 11640, 10420, 9988, 6743, 6070, 2465, 11143, 9943, 1715, 6606, 8631, 12992, 13132, 6340, 4044, 8611, 72, 4632, 7295, 12799, 12410, 13648, 7036, 1976, 4644, 3217, 2741, 10582, 4738, 9998, 1734, 9927, 5989, 1667, 13489, 10450, 11931, 11604, 1202, 9119, 12487, 12777, 313, 1016, 10662, 5272, 4673, 4955, 7475, 7370, 11129, 11064, 8219, 8920, 8606, 4870, 13772, 7329, 2533, 9107, 3323, 7404, 4363, 2766, 11196, 2809, 9733, 13347, 12649, 12443, 8403, 6236, 2253, 11400, 13480, 6794, 7855, 4726, 5852, 13011, 13660, 6111, 6931, 10960, 9928, 7499, 10219, 10544, 10056, 12100, 9633, 12588, 6029, 4676, 5770, 2532, 332, 8966, 4872, 8393, 1134, 12402, 7942, 7927, 414, 9481, 5662, 2620, 13587, 2366, 2261, 5379, 4221, 7851, 1901, 2080, 6841, 9093, 11719, 9780, 10510, 9238, 3996, 10238, 4685, 121, 11680, 6427, 4768, 9565, 11670, 0, 11324, 9643, 7723, 4138, 5364, 13696, 1195, 11729, 2305, 6871, 7337, 9825, 1156, 788, 8412, 9707, 6987, 1173, 2555, 8791, 1495, 6576, 8305, 114, 6890, 1578, 3688, 4797, 1998, 5329, 4236, 12839, 11535, 7051, 6404, 13610, 11483, 9742, 3263, 823, 6280, 12787, 3627, 2992, 5913, 13130, 4083, 9550, 10047, 4057, 7887, 9762, 6346, 2489, 4846, 3690, 13172, 12288, 12343, 7843, 11257, 8790, 8119, 5961, 10417, 3594, 2024, 7664, 6198, 5478, 176, 13383, 11871, 10229, 11363, 6173, 8105, 10723, 4049, 5417, 5945, 10114, 7430, 2879, 2940, 10792, 7890, 2618, 7038, 13144, 5774, 13265, 1600, 506, 3310, 589, 11261, 1678, 3427, 2127, 2720, 8695, 2736, 13611, 7963, 1222, 6451, 8936, 9337, 6816, 10901, 1289, 3575, 3876, 13365, 7294, 11114, 6184, 1603, 8489, 720, 5242, 977, 5886, 11952, 5990, 6583, 12352, 6061, 3740, 2629, 6132, 9344, 545, 4832, 10245, 7093, 12080, 7885, 3879, 4600, 2598, 7520, 9549, 9170, 8415, 5350, 2254, 3400, 1570, 12020, 635, 1189, 3559, 11753, 6221, 3881, 10548, 11766, 5471, 101, 5308, 2007, 9157, 2873, 845, 12323, 12844, 8947, 10754, 4775, 5042, 5650, 12089, 3364, 7602, 4690, 5200, 12003, 3830, 526, 11193, 4250, 10205, 3573, 11327, 11602, 7711, 11219, 494, 1328, 11199, 13021, 2574, 11751, 8627, 13460, 8499, 7412, 4253, 2666, 7575, 2034, 12738, 869, 2927, 23, 9454, 10310, 480, 4550, 8558, 10962, 10672, 3832, 4092, 13437, 6016, 898, 1831, 12706, 3193, 2452, 1784, 1501, 717, 67, 3851, 8470, 6911, 2881, 2802, 11649, 619, 1775, 8697, 13110, 2083, 4330, 6755, 11829, 9815, 9779, 9812, 1278, 4489, 2606, 4155, 593, 11628, 2206, 11100, 4479, 5752, 13406, 6758, 10246, 13053, 10493, 3406, 2932, 1327, 3844, 3987, 7815, 319, 5454, 1376, 16, 5914, 11554, 13565, 1943, 6707, 9544, 4986, 10862, 3040, 5012, 3733, 11358, 5206, 12893, 13807, 5403, 5823, 12605, 3618, 9910, 3721, 11985, 4216, 10621, 5246, 1905, 1960, 2968, 1028, 10658, 12422, 5609, 10204, 11748, 4054, 1377, 3989, 9343, 5593, 9543, 4932, 170, 1339, 9911, 13783, 11158, 13297, 9512, 7457, 11925, 2084, 9618, 7659, 7894, 7712, 11789, 6617, 5271, 9273, 707, 6687, 1232, 9089, 8319, 12304, 5370, 1207, 1994, 3796, 6237, 9485, 10404, 11020, 11316, 11529, 11476, 4914, 11120, 6462, 666, 4919, 1888, 4947, 9279, 12672, 603, 1886, 3385, 7190, 12095, 1664, 6824, 307, 1460, 13823, 10282, 4825, 3154, 2096, 13038, 11008, 5310, 10416, 1143, 5727, 10274, 5251, 1760, 7570, 486, 10380, 3367, 2549, 4090, 10648, 10184, 12838, 8092, 4453, 5860, 418, 12341, 9926, 3221, 2500, 12156, 5992, 13168, 5958, 4324, 6958, 1106, 1610, 11651, 4357, 11166, 1921, 13816, 10845, 9155, 12485, 10921, 4844, 12297, 1956, 11867, 7423, 13120, 9179, 407, 8540, 9094, 5760, 1534, 6062, 10876, 6314, 5526, 10998, 1999, 7586, 8096, 11305, 13832, 949, 6085, 12306, 5301, 12572, 11894, 6922, 13302, 8536, 2651, 8495, 6948, 2079, 9970, 10564, 10680, 11426, 805, 10907, 10945, 7929, 1832, 8068, 801, 4722, 10588, 13763, 1811, 402, 10690, 11903, 1280, 2140, 7682, 9193, 653, 425, 5340, 12427, 3411, 10400, 6369, 4668, 9010, 4312, 12326, 9947, 9022, 915, 11978, 9606, 5619, 2273, 2138, 9211, 8112, 10119, 3209, 7425, 8367, 3650, 3238, 7293, 11088, 2042, 11760, 148, 3783, 13479, 2439, 2843, 2696, 7147, 4727, 2935, 4185, 8721, 10724, 6556, 13311, 13442, 11460, 6719, 13469, 12346, 7633, 5256, 6421, 7054, 4696, 8183, 12168, 5418, 10878, 3524, 4503, 7938, 12320, 12480, 6535, 2235, 4281, 13223, 3736, 7358, 11857, 6623, 2177, 10022, 10928, 2686, 1020, 151, 8497, 5323, 9189, 9389, 3814, 5763, 5387, 9235, 12671, 9893, 9163, 8895, 12500, 6176, 7326, 3164, 8954, 2212, 12384, 4989, 9976, 3499, 1459, 4142, 4012, 7313, 4337, 3523, 11390, 8234, 12696, 9919, 9852, 5648, 2947, 1341, 9635, 12076, 2279, 5030, 11609, 903, 10603, 8899, 5117, 3414, 13327, 13499, 1291, 509, 5542, 1090, 5281, 9466, 1547, 10976, 3850, 6526, 11507, 10051, 5187, 9841, 142, 12085, 9262, 10497, 3976, 3729, 12255, 12556, 7090, 5425, 12762, 1995, 6287, 4448, 6139, 4206, 3743, 6130, 331, 6902, 405, 1633, 5680, 2389, 5791, 11206, 10372, 11095, 3546, 8033, 286, 12491, 12271, 6896, 8233, 7037, 4796, 11061, 6953, 2475, 7185, 10443, 13305, 7126, 1124, 12637, 3582, 9260, 8636, 9207, 4229, 12441, 9599, 12039, 169, 2374, 5681, 10151, 4556, 654, 835, 12226, 8771, 1855, 7552, 12126, 9925, 3024, 13027, 1487, 4478, 13103, 8389, 3155, 2454, 2995, 1955, 4699, 12266, 5290, 2328, 12433, 2403, 7497, 13005, 439, 6842, 3934, 10931, 11859, 6417, 11932, 6663, 7567, 12822, 5504, 7782, 3619, 2147, 13328, 3911, 2313, 7796, 9642, 9904, 5768, 10822, 1544, 4716, 8651, 11965, 10545, 4661, 11948, 6337, 7063, 6590, 9329, 2971, 13165, 8285, 55, 8352, 10386, 11921, 3554, 6425, 7727, 9226, 7971, 7752, 11493, 11691, 3260, 12691, 13546, 4877, 5918, 8331, 3764, 6024, 3159, 9049, 4648, 3942, 13439, 5785, 3379, 11864, 4476, 12116, 381, 11399, 8332, 10849, 51, 1769, 6961, 6243, 3789, 7277, 12736, 2800, 12740, 11111, 4694, 12273, 10000, 12192, 3443, 8111, 10830, 11816, 8358, 5535, 391, 13008, 2949, 595, 6915, 9913, 8138, 5846, 1702, 4300, 9418, 9595, 5098, 4970, 9084, 9379, 9220, 6814, 756, 11713, 9968, 12722, 13378, 2436, 13339, 8300, 5525, 3098, 12011, 7806, 4706, 6299, 11960, 5670, 8435, 3488, 38, 2355, 6297, 5758, 10195, 48, 1677, 9942, 3510, 11977, 4328, 8705, 1146, 9806, 13524, 12779, 4335, 11398, 7589, 2478, 6613, 13726, 7856, 3470, 254, 496, 12496, 2613, 4669, 11796, 3631, 6976, 8110, 6394, 5926, 3953, 6036, 13399, 2098, 6630, 12482, 11902, 5876, 1200, 2226, 6905, 6214, 5382, 4047, 6242, 558, 8939, 7622, 21, 7718, 3376, 5773, 5254, 4643, 2450, 13668, 13057, 12807, 5815, 7353, 2467, 7287, 2742, 4119, 6407, 6659, 10495, 10464, 3508, 12665, 906, 12193, 3126, 11366, 1619, 3171, 4174, 5041, 12021, 462, 10100, 7696, 3862, 427, 11608, 2025, 7130, 10466, 7920, 490, 5353, 9508, 10812, 6849, 930, 1255, 1422, 3773, 9711, 10597, 3843, 1424, 3903, 10418, 2362, 3481, 9584, 7558, 1258, 6330, 7360, 10163, 13661, 2179, 6853, 7265, 2106, 10657, 5326, 13217, 10112, 4660, 12164, 7317, 6521, 6679, 11383, 2196, 2805, 2342, 13497, 138, 8542, 4333, 11797, 12750, 10271, 3613, 1038, 1841, 9848, 4579, 5984, 10527, 6182, 4991, 4302, 8927, 2525, 12489, 12786, 7737, 13670, 3606, 5151, 11153, 12023, 1675, 11750, 3268, 11353, 586, 11380, 1001, 5275, 2984, 5929, 5675, 11699, 10914, 12592, 5880, 4723, 6859, 5882, 6537, 5414, 8303, 11846, 4990, 865, 12025, 5715, 8699, 13822, 5576, 9243, 1082, 10513, 4511, 10734, 9334, 13762, 12412, 1267, 10642, 10149, 11615, 5467, 8318, 9299, 1006, 6797, 5536, 12451, 1083, 13624, 7219, 6898, 1313, 25, 10693, 6596, 2811, 10987, 6815, 1033, 3706, 11890, 708, 3580, 5162, 132, 13431, 599, 11780, 9346, 7509, 13518, 2243, 10948, 364, 10131, 11350, 7323, 1284, 4754, 10611, 1353, 2347, 11156, 7776, 8350, 9036, 10152, 13034, 5677, 8493, 4005, 13824, 12239, 5448, 11521, 4402, 1793, 4968, 875, 4795, 2482, 5801, 6004, 12930, 6717, 9414, 1865, 10334, 1622, 7493, 11137, 13100, 7839, 2469, 10392, 5775, 905, 11154, 13649, 5617, 2462, 13423, 4843, 4111, 8552, 9574, 11421, 3130, 2706, 5530, 10447, 13114, 10429, 9297, 2916, 8346, 6620, 1079, 6493, 6901, 3528, 8428, 13267, 7152, 4515, 8923, 8187, 13640, 11863, 5867, 3330, 3464, 4256, 10156, 4805, 4074, 5084, 1491, 2090, 94, 12334, 12885, 8787, 10816, 7598, 1042, 6756, 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2338, 5291, 2934, 12116, 4792, 8219, 10266, 6098, 4954, 9807, 786, 7780, 7801, 11514, 3940, 8560, 8786, 5352, 2267, 1634, 8326, 10364, 5304, 99, 1275, 12434, 2105, 12810, 9992, 6308, 8976, 1856, 8142, 11478, 11286, 5742, 4641, 11811, 1186, 6018, 6749, 13331, 7704, 4694, 5546, 6855, 9058, 7473, 3238, 4145, 8306, 8214, 2531, 1290, 5719, 11885, 1379, 2428, 10630, 533, 11699, 6620, 301, 2058, 2972, 3075, 5114, 11081, 3910, 13754, 323, 5130, 13433, 5494, 6889, 1073, 3532, 1066, 8713, 1354, 5805, 5008, 5936, 1241, 6412, 5037, 8795, 4393, 10904, 10612, 711, 7663, 11983, 670, 358, 3386, 13525, 7851, 1118, 8097, 4921, 9287, 396, 4649, 10170, 6499, 13093, 6134, 8141, 8041, 10624, 13533, 11057, 8977, 1551, 9289, 1526, 11113, 1114, 8758, 9022, 5560, 1632, 10499, 13472, 8442, 6172, 2151, 5990, 1990, 12569, 3684, 10044, 10735, 4627, 2952, 13302, 815, 6637, 8864, 1873, 12166, 11763, 644, 8067, 9681, 5471, 12458, 8709, 4090, 9081, 6009, 12592, 3180, 3060, 4904, 3688, 7742, 2269, 9683, 13107, 13162, 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8317, 809, 7702, 1551, 11304, 524, 12033, 9254, 9850, 6928, 10257, 11738, 3311, 10700, 4599, 12854, 10379, 5937, 5494, 3980, 11234, 7106, 3202, 9995, 6614, 13485, 757, 8412, 2417, 13120, 11057, 8282, 674, 4427, 9298, 3828, 13637, 5250, 9458, 1106, 12241, 6640, 971, 3417, 7753, 7603, 2320, 4190, 6793, 10215, 2387, 6066, 8397, 12898, 2002, 170, 737, 9883, 8803, 8767, 2737, 13564, 8731, 1910, 5693, 1179, 12959, 7932, 8578, 3793, 9825, 11852, 5044, 13370, 2877, 1474, 6759, 4155, 5764, 2911, 3231, 8167, 3598, 10910, 8686, 12507, 7243, 8880, 10561, 13795, 9060, 7699, 1715, 11961, 11707, 9872, 62, 13547, 5818, 1014, 1258, 3479, 10895, 13606, 6873, 9357, 6290, 3839, 1649, 1729, 6340, 9747, 12246, 8736, 5084, 3766, 13501, 9484, 13413, 13338, 6671, 11443, 775, 2594, 5124, 3328, 386, 6436, 5381, 6323, 9515, 6097, 12017, 12443, 4046, 4889, 1535, 10747, 7315, 8784, 8668, 2758, 8513, 7921, 4430, 1757, 4272, 10657, 6530, 10240, 1095, 2016, 1332, 13619, 4197, 7493, 3948, 7666, 1047, 12641, 1019, 4820, 2329, 5424, 10395, 5024, 3470, 11624, 3332, 11756, 3682, 11126, 13479, 9735, 13249, 11840, 10176, 7118, 5114, 3538, 8267, 6233, 3950, 4110, 3441, 190, 7273, 270, 4999, 145, 7971, 8499, 10578, 3085, 7486, 13113, 9368, 1065, 9335, 10015, 55, 9805, 7687, 772, 1689, 13578, 5398, 7720, 12494, 11162, 3562, 7705, 8471, 12740, 12909, 1342, 7181, 13213, 4050, 3796, 13792, 7128, 13145, 10780, 7756, 8437, 3652, 1471, 13200, 3385, 8904, 9527, 11206, 7439, 4510, 4492, 9500, 3039, 3002, 13032, 1752, 2724, 13114, 4764, 4102, 12009, 8131, 5719, 1337, 1966, 12682, 5721, 963, 4665, 5447, 3740, 9697, 13328, 7817, 6526, 13198, 13358, 1420, 10836, 7456, 6608, 471, 5913, 4710, 3933, 12647, 5629, 9314, 8371, 10271, 8759, 2462, 7222, 5528, 6458, 3897, 6997, 687, 8216, 12833, 9556, 1001, 10121, 4428, 9362, 13080, 11464, 8898, 7450, 702, 4305, 2794, 560, 7950, 12152, 3558, 2331, 11374, 11749, 10967, 4178, 4956, 13409, 7826, 9302, 9097, 8890, 1165, 3348, 11193, 511, 84, 3587, 2418, 3658, 12979, 8592, 10359, 11433, 9244, 3679, 5477, 12724, 13146, 9086, 11899, 7919, 9053, 5735, 1605, 13287, 2550, 3189, 13555, 6114, 4565, 995, 13288, 8659, 10235, 12157, 6182, 6304, 7931, 10688, 11429, 13252, 7017, 7927, 2126, 3525, 619, 5471, 13, 5102, 2101, 219, 8764, 159, 5362, 6446, 12370, 5073, 13448, 10746, 6724, 4946, 9478, 2267, 2165, 12660, 12761, 3497, 2495, 1161, 6599, 8799, 1097, 5138, 594, 2792, 570, 11098, 10726, 6016, 9579, 7644, 2295, 8465, 2678, 298, 11154, 12039, 5391, 8996, 4210, 11768, 2731, 7169, 13411, 13575, 13726, 10919, 10920, 2576, 2285, 6737, 6284, 8630, 9131, 9124, 5328, 5059, 411, 10876, 9350, 5720, 9089, 5017, 11256, 4446, 6559, 10887, 7391, 5507, 12363, 6527, 13201, 10773, 7742, 12070, 13073, 9375, 12373, 1571, 10792, 8732, 12126, 7530, 12108, 10917, 722, 4644, 4494, 4846, 12261, 5245, 10647, 10652, 4705, 7138, 5902, 9498, 9574, 496, 11071, 4235, 10897, 3555, 11082, 12307, 10252, 1210, 7485, 11340, 3997, 13303, 12337, 5765, 4549, 10861, 10478, 93, 8204, 11904, 13563, 7965, 13679, 5624, 7305, 1917, 5800, 4010, 1227, 3666, 10281, 4847, 12518, 7866, 7679, 8579, 13747, 13480, 6939, 1950, 8901, 2522, 4519, 10190, 6797, 1080, 5577, 12559, 12173, 7190, 8302, 4759, 2204, 13561, 9397, 6825, 6751, 8782, 12521, 10636, 9176, 3826, 7004, 9490, 5611, 2614, 9550, 58, 12927, 5458, 9535, 12984, 11492, 13607, 9012, 5491, 12067, 5498, 12799, 4631, 10627, 9402, 3165, 5506, 1015, 4952, 10311, 286, 1521, 3377, 2107, 1234, 5834, 4577, 12767, 9714, 10856, 11989, 2356, 9984, 910, 9321, 9032, 7473, 4793, 9741, 12273, 6991, 10520, 3049, 13463, 12240, 11165, 13087, 10624, 4893, 6213, 3765, 11883, 9146, 9625, 2200, 281, 11066, 7386, 12797, 10775, 9174, 13783, 10292, 13545, 12601, 6086, 9770, 4560, 9974, 13331, 1912, 10926, 11632, 10592, 10803, 8740, 11156, 3822, 13686, 2938, 5263, 7674, 5193, 12920, 13609, 4862, 3813, 8111, 9524, 6707, 4450, 804, 7191, 13094, 2686, 6682, 6058, 6842, 12085, 9878, 6547, 8755, 5831, 13689, 3251, 13274, 1654, 389, 6675, 723, 8938, 8345, 8268, 10847, 3247, 9890, 1550, 1720, 11752, 1586, 7489, 565, 612, 5835, 271, 9286, 1708, 11819, 9410, 1205, 6910, 819, 8797, 6498, 5715, 3274, 4009, 2415, 7575, 1053, 7813, 13105, 6285, 9729, 4135, 10815, 11083, 4500, 6261, 8363, 3119, 5812, 5042, 12852, 5746, 8319, 3860, 2571, 13187, 12821, 8133, 2980, 10078, 1148, 4653, 5095, 8586, 8288, 8551, 10715, 12345, 701, 5607, 1174, 4153, 4851, 8070, 1036, 3820, 2518, 7633, 8636, 13514, 742, 8480, 6809, 10039, 3170, 3364, 2399, 3161, 9667, 6259, 11614, 7901, 10286, 12191, 5963, 13685, 1969, 2174, 139, 162, 1353, 4957, 10324, 180, 1093, 5186, 1410, 4416, 2506, 866, 1414, 6439, 6811, 6135, 10882, 1713, 2440, 9610, 7794, 9903, 12124, 7098, 3073, 6170, 7388, 11830, 1994, 11310, 376, 8010, 4377, 2581, 6680, 13001, 8179, 8498, 3746, 703, 10976, 3620, 4869, 7063, 1197, 12256, 11328, 9226, 9960, 7876, 8542, 12025, 9415, 6367, 10227, 4468, 12637, 4100, 10205, 9446, 10277, 2502, 5070, 4062, 507, 13718, 6606, 1942, 12410, 9157, 8523, 6901, 11481, 1719, 5851, 10104, 4663, 2519, 9274, 3167, 5274, 10151, 7114, 13131, 801, 3830, 335, 1204, 11314, 9243, 11985, 11952, 9006, 5281, 1996, 11779, 3580, 1638, 9910, 409, 2059, 3299, 5497, 8612, 278, 7992, 7168, 5574, 6038, 3060, 3464, 2208, 10351, 4660, 12365, 7750, 8923, 3832, 4304, 452, 13231, 1135, 8140, 3827, 7642, 2836, 11930, 10823, 539, 12928, 2525, 2108, 478, 5891, 110, 3494, 1247, 3895, 168, 10310, 9815, 13587, 5011, 12878, 9045, 12830, 7738, 10233, 4056, 9087, 13058, 11680, 8031, 4504, 10425, 11599, 1836, 6493, 1795, 2401, 3526, 10853, 1004, 1826, 1859, 8726, 9069, 2956, 9393, 5054, 12081, 7943, 2888, 8352, 37, 9715, 13688, 6926, 9271, 5897, 11820, 5320, 3133, 11805, 4128, 13230, 11029, 8067, 11668, 8418, 3040, 9993, 5579, 11875, 2584, 4630, 9334, 9852, 13646, 7185, 5187, 11022, 1974, 4229, 5680, 5762, 492, 7115, 8520, 11595, 1760, 9459, 3957, 7461, 11259, 6584, 1990, 12705, 8728, 9588, 1653, 8400, 6281, 4728, 12590, 2139, 10516, 6355, 227, 10510, 9708, 13031, 2688, 11929, 12633, 9750, 12866, 1601, 12602, 3528, 9983, 10474, 13655, 3843, 5650, 8906, 3380, 12701, 11260, 6160, 2020, 9253, 4126, 160, 5194, 5710, 13203, 3779, 77, 8893, 10131, 11055, 13143, 5908, 5768, 497, 171, 5403, 3974, 1504, 10575, 1467, 10224, 11498, 10664, 11157, 11207, 10533, 3857, 7816, 9378, 9328, 7281, 12857, 4943, 7174, 3615, 10820, 11928, 5436, 8881, 11209, 11009, 7522, 5004, 6824, 3283, 3103, 122, 13280, 2832, 2290, 4703, 8236, 11422, 8, 10557, 13515, 5326, 1569, 5968, 2820, 7291, 8339, 12713, 6428, 5669, 5379, 11587, 13516, 8434, 9011, 11652, 7079, 5247, 7332, 6860, 9999, 11406, 11434, 5104, 4973, 8194, 1975, 4880, 373, 4265, 5923, 11666, 3636, 13780, 6739, 13183, 4907, 9947, 11659, 749, 2664, 73, 5285, 3236, 369, 6954, 11621, 4336, 7952, 3214, 7437, 9467, 4840, 12856, 8128, 6807, 9250, 13535, 1985, 2310, 5861, 3451, 443, 7789, 9208, 5264, 13651, 10858, 6918, 11782, 5202, 3856, 3889, 7686, 2416, 12002, 12440, 730, 8539, 8126, 13744, 12468, 7034, 9967, 1058, 3818, 13569, 8778, 793, 6085, 13290, 2573, 230, 9997, 10697, 5708, 12512, 276, 1970, 6481, 11905, 8178, 9755, 4221, 2411, 8013, 12178, 8005, 4818, 1044, 2893, 11741, 7005, 12664, 6302, 1022, 1721, 221, 3553, 9348, 320, 8525, 10844, 5925, 1090, 12360, 8200, 6470, 5883, 5421, 5075, 6435, 3400, 7835, 4516, 11873, 9956, 6937, 9318, 3735, 5355, 11946, 8500, 1761, 4217, 4848, 6600, 13011, 5388, 385, 7096, 12334, 9704, 12955, 2524, 8944, 9184, 12993, 3560, 656, 7205, 872, 4402, 10355, 9168, 7298, 10087, 10109, 3496, 4594, 2730, 10860, 4661, 11, 10786, 2835, 8529, 10957, 12091, 2412, 11815, 5371, 2422, 2395, 3419, 7580, 2363, 7922, 11625, 9284, 13372, 10454, 12950, 8962, 10908, 8173, 2613, 8838, 3712, 5915, 11747, 10242, 13822, 4233, 1618, 3571, 7892, 9978, 5393, 3406, 12147, 591, 9453, 3691, 6539, 6020, 5643, 6270, 4912, 13023, 11561, 5481, 8231, 11713, 10154, 1253, 13707, 4507, 11762, 4932, 8086, 12847, 3556, 1377, 5066, 11417, 5973, 10929, 6521, 10189, 6713, 12084, 8568, 13012, 11450, 7459, 10725, 526, 6554, 11997, 1352, 973, 11502, 4867, 8834, 4002, 3623, 12259, 8261, 11604, 3446, 9899, 13352, 10873, 12577, 10582, 11832, 11640, 3135, 12460, 13431, 7541, 3617, 7985, 4882, 6126, 4483, 10493, 3276, 9533, 5542, 1153, 7296, 10912, 2979, 1983, 10948, 8280, 2671, 10848, 1413, 11409, 13616, 10625, 10800, 11257, 6376, 5217, 9017, 4145, 147, 2163, 8153, 8844, 2030, 2647, 9486, 4691, 7792, 79, 7178, 494, 6763, 9627, 6899, 9287, 4884, 5258, 5446, 5876, 7200, 1039, 10142, 9260, 1470, 5465, 8619, 9214, 10977, 8433, 2815, 7768, 11109, 13034, 9424, 11918, 2172, 6473, 12415, 1934, 8285, 10084, 7390, 2927, 12731, 6568, 9915, 10225, 12535, 12783, 9317, 4743, 1348, 12971, 6188, 1310, 11080, 4723, 711, 5298, 12976, 8188, 10315, 10321, 10517, 10349, 1261, 1927, 10523, 9566, 331, 4132, 7977, 4801, 399, 6363, 5338, 7960, 8910, 9002, 2160, 10555, 1954, 5980, 9352, 4240, 6898, 10588, 10148, 4617, 12930, 7944, 6308, 6330, 769, 8950, 4213, 1213, 10679, 10713, 12513, 8114, 5966, 311, 6401, 3469, 13701, 9420, 3028, 3061, 9035, 2996, 10126, 5856, 11001, 5432, 13400, 12957, 13293, 12858, 7097, 13554, 12965, 8000, 5129, 5435, 193, 8988, 12556, 9376, 5706, 8124, 6349, 6430, 196, 1724, 2183, 13356, 403, 13503, 4786, 4807, 1087, 505, 2072, 12759, 7301, 242, 13493, 5957, 11916, 5686, 11292, 11895, 4244, 12374, 8559, 12266, 12802, 10970, 4328, 4936, 8528, 8555, 6210, 4366, 11510, 1915, 9055, 4112, 12716, 6574, 2034, 2756, 8635, 3022, 7704, 8699, 11296, 12160, 8253, 8365, 3671, 6848, 347, 9109, 5081, 7755, 7624, 12326, 12282, 13185, 5240, 11448, 1484, 9706, 9712, 8193, 7953, 4991, 6241, 10336, 2935, 12153, 13805, 1392, 13826, 11168, 5893, 7195, 4831, 10584, 2811, 3398, 6099, 6180, 312, 6725, 7239, 6963, 2917, 11353, 9160, 8645, 11906, 3609, 1307, 11089, 7724, 13446, 9534, 12446, 11676, 10312, 945, 299, 6620, 933, 8019, 7641, 12274, 7730, 5387, 8702, 2337, 2466, 10063, 4963, 9000, 3973, 13749, 5548, 7516, 285, 10097, 13768, 5965, 8301, 6863, 6727, 9277, 13752, 76, 2457, 9847, 7164, 6653, 3903, 5873, 4074, 4608, 12299, 3353, 10111, 5426, 6279, 3026, 8159, 11764, 6987, 1914, 2632, 3778, 5847, 4495, 3461, 3491, 12155, 12225, 9589, 5062, 8580, 1013, 9010, 13227, 13009, 185, 3427, 6667, 10961, 8868, 11683, 4994, 7874, 12476, 12526, 2784, 5633, 11268, 951, 13408, 8562, 10345, 3250, 7371, 7020, 1438, 4219, 9428, 6782, 12888, 10145, 12367, 2635, 11897, 4627, 9275, 1597, 95, 7984, 10118, 7743, 11965, 1576, 4974, 1202, 4738, 9626, 4651, 5324, 1780, 4236, 7814, 1973, 12515, 4929, 12055, 4970, 1612, 6648, 3395, 12913, 1958, 53, 678, 6131, 6552, 8629, 12671, 1480, 12481, 5348, 7213, 3423, 3642, 6018, 9468, 7308, 10373, 13322, 2476, 9582, 9740, 1545, 4203, 6741, 5185, 12564, 2391, 8729, 7480, 7042, 3014, 4461, 8692, 10132, 6383, 4188, 9606, 7402, 7589, 8512, 8973, 12763, 6611, 9073, 4373, 2672, 2340, 13521, 991, 5570, 225, 205, 12504, 4172, 10827, 12362, 6017, 9821, 7411, 521, 3683, 9093, 12496, 2948, 10877, 8446, 1048, 2574, 91, 12053, 11938, 429, 3396, 4039, 4982, 5732, 8571, 8415, 10108, 11425, 10464, 4513, 9080, 9920, 4342, 12342, 9957, 7783, 9163, 2620, 5015, 9224, 4435, 981, 1813, 6840, 9329, 3320, 11560, 5395, 13531, 2569, 927, 8184, 5814, 8909, 4431, 5587, 9148, 3966, 8299, 12739, 12530, 11220, 2473, 6132, 11290, 3967, 2828, 8611, 7885, 1262, 11978, 7032, 8681, 8322, 1443, 8796, 8601, 9439, 8582, 6134, 3686, 7552, 5229, 5790, 5399, 1676, 3863, 11792, 11945, 10550, 3504, 151, 6471, 10992, 229, 2252, 10589, 9388, 10378, 6193, 1326, 381, 9828, 5184, 2407, 5556, 6421, 6520, 1736, 12238, 7262, 10997, 1130, 11140, 2453, 13135, 12644, 7551, 11025, 10168, 12077, 846, 795, 11825, 11199, 8928, 5559, 2577, 13179, 8848, 7241, 2374, 2669, 2510, 3323, 733, 9024, 7912, 2081, 8595, 8851, 1428, 8105, 12399, 9513, 9374, 12364, 9917, 12448, 28, 7048, 417, 13044, 2591, 1610, 11872, 6225, 9455, 1945, 6528, 1621, 8490, 6148, 6021, 3762, 7271, 2689, 6647, 6690, 10276, 5290, 13439, 10597, 3529, 6299, 10494, 439, 7225, 7947, 9492, 825, 1691, 3330, 12967, 10346, 4571, 9816, 8689, 11833, 5656, 1483, 12567, 7882, 4368, 5302, 3386, 12748, 3079, 8690, 13235, 4404, 11579, 5374, 11131, 5431, 2209, 9743, 252, 1506, 8646, 10130, 2488, 10621, 11835, 8135, 8470, 10032, 13612, 9711, 10855, 2132, 867, 4081, 1276, 2653, 6262, 11554, 9132, 3916, 3065, 5278, 5799, 9434, 1412, 1947, 12992, 10071, 2925, 1936, 3926, 9389, 3503, 928, 7408, 12699, 124, 6029, 197, 1838, 13244, 3701, 9295, 11596, 176, 6605, 1303, 5962, 7989, 3986, 11483, 1746, 3692, 4000, 12817, 6844, 4796, 2902, 83, 1920, 2451, 3593, 3449, 13335, 691, 8669, 13460, 8149, 7400, 4815, 3030, 8252, 2665, 1248, 5027, 3153, 7212, 3639, 6794, 7016, 309, 8789, 1766, 374, 10218, 1492, 8056, 10674, 4960, 693, 5359, 7471, 7060, 13530, 13793, 10323, 1853, 425, 4898, 13191, 13081, 3773, 2609, 1939, 7166, 13299, 532, 4564, 9988, 1613, 6229, 2044, 9782, 5512, 12845, 10101, 6161, 1502, 2578, 6967, 4491, 3770, 7149, 8380, 7036, 13423, 12104, 1056, 12285, 6291, 4362, 6368, 16, 11351, 5530, 12103, 3869, 1327, 7974, 9325, 211, 8388, 10068, 12267, 13715, 1528, 2918, 736, 10030, 9698, 12003, 5840, 5190, 9931, 536, 12034, 4668, 7108, 8182, 5243, 4331, 13520, 8260, 9442, 3159, 3783, 11643, 7972, 11176, 1494, 8115, 9508, 9036, 13125, 12406, 13397, 12996, 3771, 7249, 13778, 12449, 13484, 11302, 11137, 6033, 9844, 8314, 2140, 10821, 5942, 4574, 301, 3653, 1796, 3192, 8563, 8956, 8638, 2990, 3953, 5859, 4179, 2430, 4689, 10562, 13508, 11831, 6580, 3350, 9924, 11488, 6662, 6084, 3751, 3631, 10642, 9699, 3127, 10328, 6523, 4985, 6977, 11410, 9263, 5153, 4781, 13040, 8071, 2732, 12316, 12429, 4760, 7998, 4481, 9432, 9940, 7533, 4485, 7254, 2319, 6218, 3939, 10435, 1085, 11442, 11987, 4551, 2691, 7460, 3197, 9961, 5798, 1146, 3088, 13365, 12906, 1734, 2873, 2193, 2004, 5157, 12889, 10579, 3113, 646, 7926, 7915, 13321, 1182, 3632, 11212, 3435, 11307, 8348, 10221, 1582, 510, 167, 13588, 543, 811, 5782, 6370, 6549, 12404, 10537, 7744, 8425, 2936, 10867, 9785, 7592, 1246, 6916, 3983, 9211, 8983, 5462, 12204, 3894, 9803, 3490, 1706, 1748, 6612, 10380, 12473, 12884, 51, 5755, 788, 13740, 11968, 6139, 1061, 1356, 13171, 2968, 8026, 7233, 3961, 10075, 12778, 175, 8695, 3803, 9156, 10906, 13808, 1967, 387, 10643, 7152, 5032, 4273, 2639, 8298, 8908, 5972, 11553, 10468, 1006, 3271, 13295, 8076, 13589, 8346, 2196, 3226, 10757, 13317, 12478, 2147, 6034, 12654, 13334, 11727, 10430, 7512, 5536, 9330, 12490, 12069, 11528, 10422, 3227, 12901, 12894, 601, 1832, 13507, 6472, 11491, 6309, 3913, 3801, 13281, 10275, 10074, 11050, 9754, 5030, 13785, 5333, 6202, 10547, 7700, 9, 2368, 7287, 7085, 4196, 10020, 5728, 9488, 7187, 13283, 8294, 6280, 5527, 1924, 3890, 10975, 7369, 11506, 4335, 5463, 9387, 8993, 5936, 10872, 2255, 9175, 13265, 10900, 9359, 2987, 2151, 3780, 6146, 579, 1775, 13690, 8398, 3481, 11462, 10048, 10916, 11588, 12519, 9840, 4842, 4149, 9762, 850, 12931, 13641, 12547, 587, 9716, 3094, 7716, 8648, 9313, 3902, 4369, 7980, 2371, 2377, 10421, 13737, 2049, 4131, 2579, 3132, 3685, 1200, 7208, 8464, 12995, 1035, 1067, 2192, 12973, 5500, 5713, 12397, 6025, 11924, 8895, 5064, 5110, 9098, 10105, 9559, 3011, 8809, 9360, 8873, 18, 11570, 8405, 10718, 3316, 10608, 10969, 8800, 8864, 3937, 6123, 4546, 5780, 4750, 12575, 11461, 10356, 1187, 5353, 11043, 4234, 7345, 4479, 12489, 721, 4739, 10141, 3452, 5539, 1347, 4022, 6373, 2238, 2211, 12303, 306, 5503, 2263, 1354, 6678, 7133, 9377, 10029, 11074, 6754, 1623, 13271, 7815, 6658, 1629, 6001, 3228, 50, 759, 8332, 8068, 10129, 9084, 3871, 3984, 4908, 8657, 13239, 9199, 1788, 8517, 2806, 10832, 2343, 10341, 12092, 8087, 1139, 3431, 7323, 2349, 13314, 7538, 10505, 6052, 911, 7311, 4418, 2563, 10002, 10875, 6828, 3216, 7153, 7811, 8447, 11806, 11332, 1277, 6868, 202, 3296, 10058, 12708, 3222, 8550, 6643, 3633, 6827, 5774, 10388, 662, 3191, 5551, 6264, 130, 1452, 7758, 8527, 6587, 3357, 13709, 10157, 4101, 6884, 11808, 659, 12746, 6943, 5660, 9351, 9616, 12823, 6287, 4326, 3010, 920, 8597, 4215, 1590, 1094, 10749, 5867, 9349, 11720, 4499, 1431, 1695, 1218, 13763, 3537, 1423, 11611, 7718, 2786, 13016, 2666, 3091, 1503, 1843, 294, 11564, 980, 13214, 8199, 4716, 1564, 12386, 5301, 2367, 7245, 12175, 10615, 9233, 3806, 1489, 7504, 3514, 12798, 11555, 5142, 11010, 1666, 3646, 5325, 13675, 7410, 6703, 6518, 8959, 5569, 3573, 8965, 13184, 12780, 5849, 7235, 2536, 1542, 274, 8382, 2621, 9435, 9767, 830, 9194, 3156, 13375, 10147, 11678, 7413, 13500, 9731, 3128, 7175, 7779, 11047, 13671, 10180, 10357, 4445, 5101, 8101, 926, 8326, 713, 8147, 7403, 1725, 10193, 11520, 12934, 11387, 13154, 2316, 12271, 4822, 6083, 6454, 2648, 310, 6275, 9495, 5809, 5894, 9193, 207, 7661, 11267, 10594, 3900, 7616, 2125, 5949, 7938, 3835, 367, 12206, 7091, 9251, 4850, 12730, 9001, 6993, 4489, 1657, 12741, 6312, 4012, 9514, 10982, 8526, 1315, 3901, 13495, 8939, 5272, 4572, 9671, 25, 3147, 3144, 4482, 7670, 8017, 3917, 7, 13722, 1625, 1113, 10731, 17, 4558, 13527, 8240, 1123, 10428, 13551, 7849, 3956, 9102, 1463, 8795, 7863, 11003, 8524, 597, 4195, 8483, 6962, 4635, 6464, 8165, 7632, 11031, 201, 8065, 11362, 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9347, 7126, 9642, 2330, 480, 13194, 1303, 3420, 12116, 12962, 8257, 9497, 157, 4962, 4972, 10835, 3365, 8676, 12160, 5526, 12793, 4579, 3423, 3690, 483, 4288, 697, 8567, 4917, 13401, 7531, 9902, 4002, 11938, 6538, 9087, 13190, 9840, 8167, 10134, 4790, 13512, 9058, 4988, 9260, 7742, 3515, 6446, 11969, 1965, 8129, 13127, 13774, 6236, 8374, 788, 13226, 4388, 9421, 11963, 5386, 10011, 1241, 2981, 6067, 5636, 2376, 4926, 13539, 2437, 3960, 13339, 8824, 6701, 6359, 11194, 6086, 9192, 4924, 2108, 11744, 1290, 10917, 13252, 1381, 7301, 1840, 10297, 134, 11294, 6692, 9885, 1672, 3886, 230, 13646, 211, 13443, 3108, 6037, 5313, 9194, 7103, 13038, 3034, 5073, 9603, 2570, 9930, 11908, 12547, 12988, 6784, 7487, 3574, 13032, 13602, 3781, 3109, 12009, 2026, 10373, 6737, 1183, 6399, 9592, 3607, 9099, 13579, 12548, 12955, 8009, 317, 12980, 12417, 3694, 2403, 3959, 11542, 13416, 13768, 7833, 11801, 2828, 1868, 13610, 4044, 10130, 12885, 4912, 5880, 596, 8778, 10023, 4, 12610, 8839, 883, 5330, 8175, 12109, 9664, 3468, 5792, 4999, 5991, 3115, 9788, 10047, 5287, 6673, 13144, 13415, 2707, 4930, 1567, 2199, 8314, 10307, 6186, 2978, 8852, 4402, 5174, 8965, 4776, 8678, 10190, 9573, 4460, 2965, 11505, 2291, 6921, 13041, 13404, 4312, 1223, 12877, 13130, 10398, 5041, 11412, 5651, 7429, 1072, 6861, 547, 298, 11548, 7263, 6027, 11306, 12422, 11348, 8377, 11864, 7024, 320, 1457, 8422, 8807, 6852, 6339, 6742, 12535, 7151, 4674, 3384, 1900, 10828, 4538, 10943, 13776, 5605, 10733, 8729, 513, 8681, 8914, 3296, 4323, 5366, 2430, 4826, 4659, 6217, 9963, 7428, 5976, 10804, 3308, 11225, 12015, 3158, 8862, 1634, 13024, 450, 5592, 2729, 12344, 9584, 5628, 10858, 11403, 5062, 9988, 5015, 4188, 10556, 2644, 9413, 12874, 7180, 7193, 11503, 1062, 3972, 13677, 7732, 7146, 9480, 1052, 2053, 2182, 10272, 13122, 13378, 8552, 2502, 11543, 5520, 1143, 12194, 5538, 3436, 13521, 1872, 534, 1093, 10127, 13420, 9455, 3921, 12865, 6679, 12902, 4145, 5574, 6323, 4672, 10704, 9613, 1730, 12947, 5996, 6693, 7290, 912, 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4732, 2265, 4819, 800, 10386, 6348, 2612, 7320, 6331, 3454, 3318, 3623, 6373, 2958, 3875, 1035, 8534, 13375, 12742, 259, 4098, 4667, 6121, 6994, 5272, 2968, 4378, 6071, 9230, 5407, 12727, 7738, 11523, 9722, 7670, 279, 4726, 9555, 8254, 10453, 3801, 10737, 6801, 13097, 13458, 9875, 12679, 2982, 4032, 286, 9571, 867, 4692, 8662, 5965, 10069, 3188, 11680, 11907, 4279, 13213, 12768, 3907, 10195, 6995, 12148, 3665, 4717, 9710, 2812, 5831, 10612, 5433, 3500, 10038, 11500, 7567, 6978, 4038, 3215, 9172, 7376, 9909, 5419, 8484, 253, 10771, 6901, 1061, 2534, 3962, 11460, 7153, 6312, 13664, 4445, 6710, 7059, 12923, 10355, 12356, 8519, 10153, 6836, 13235, 6454, 6073, 4945, 3141, 7114, 13198, 3387, 4730, 5364, 12477, 9922, 11491, 6511, 444, 11747, 2579, 1510, 9014, 12884, 13113, 8706, 2449, 690, 10322, 11507, 1359, 7441, 5447, 6506, 2038, 5133, 13044, 6805, 843, 12402, 7432, 8050, 6457, 12303, 1346, 3568, 2001, 1031, 13353, 4703, 684, 9782, 9380, 11573, 13435, 8935, 4389, 9437, 12444, 899, 9872, 8936, 11892, 815, 4289, 10915, 56, 9848, 8622, 9258, 3076, 1594, 1640, 13045, 5326, 665, 7000, 11769, 11971, 3929, 983, 9297, 1376, 5323, 7896, 3951, 4331, 7700, 3490, 6078, 10042, 13270, 11155, 2298, 5776, 4361, 8163, 551, 851, 13611, 5046, 1237, 7582, 5292, 4663, 9303, 4514, 11002, 8884, 10673, 9469, 11962, 12274, 6044, 9608, 5491, 8981, 2939, 9756, 584, 8656, 7115, 5694, 10318, 13053, 13565, 960, 515, 2774, 1152, 9806, 13243, 4737, 806, 7001, 3273, 7656, 10914, 4012, 10182, 6181, 11156, 11646, 5103, 12247, 1918, 10364, 790, 9444, 775, 4929, 2258, 8650, 12473, 252, 6246, 6114, 8723, 9916, 10851, 10474, 503, 3720, 2662, 11243, 4536, 2892, 9148, 10684, 11108, 1930, 12432, 13524, 8725, 332, 8345, 5464, 11470, 12408, 11628, 711, 4226, 4592, 10363, 6228, 1180, 11911, 11291, 6530, 5268, 9737, 4089, 3990, 5098, 2327, 1606, 13234, 12316, 3307, 9057, 1173, 10192, 2893, 7062, 8190, 11055, 5108, 8303, 8379, 10946, 2724, 4839, 6169, 3530, 6627, 5621, 9666, 752, 5370, 13255, 603, 7415, 1044, 4749, 3961, 7538, 11840, 1260, 5627, 1877, 905, 2023, 12623, 6816, 2506, 9256, 3999, 13577, 781, 924, 682, 2850, 13182, 11927, 11798, 9165, 8772, 6025, 7026, 10778, 6167, 4509, 5994, 1275, 6475, 11389, 10405, 6898, 1764, 7194, 762, 7094, 3390, 11315, 3126, 6609, 11871, 12821, 4472, 8624, 3366, 9512, 7125, 5838, 4910, 970, 4291, 5634, 13741, 9376, 10465, 13735, 8383, 10099, 13418, 1225, 13277, 9915, 63, 7256, 2571, 10243, 6518, 4317, 1262, 1407, 6824, 5533, 13383, 13079, 833, 12236, 7938, 12192, 8340, 13081, 2244, 6657, 6052, 3098, 9580, 1418, 364, 6028, 2332, 13724, 10152, 3219, 2811, 11760, 11128, 88, 12558, 10810, 6080, 1161, 9294, 1777, 8041, 1272, 4615, 5212, 9961, 3611, 8530, 9127, 3120, 2446, 9537, 965, 8260, 7983, 4774, 7644, 13515, 631, 710, 5423, 7179, 8669, 2799, 10407, 3135, 9053, 5862, 6945, 950, 3799, 7663, 5910, 6482, 6927, 9355, 12673, 3506, 1186, 8406, 9363, 10591, 10485, 1495, 1637, 5377, 11974, 7504, 1030, 2837, 10816, 4891, 12589, 11147, 8416, 12507, 7891, 5067, 9838, 11957, 1344, 7626, 11413, 9134, 12540, 4161, 2538, 12694, 1899, 9546, 10896, 10316, 12125, 6064, 8538, 7750, 5827, 2820, 1321, 12764, 2416, 2654, 7476, 9600, 11058, 4223, 11530, 7063, 580, 7672, 13036, 10982, 3170, 6810, 3707, 1827, 10599, 12354, 9939, 11814, 7215, 13821, 3609, 1707, 10985, 11515, 463, 12448, 6646, 8883, 8623, 12279, 2401, 5909, 4954, 13432, 13668, 5329, 10605, 9821, 5855, 8709, 4604, 5145, 3713, 3300, 8997, 6466, 3737, 1351, 4576, 223, 6486, 2952, 9858, 2267, 5063, 5317, 6664, 12975, 7501, 9137, 11627, 3272, 11208, 9208, 4371, 6709, 979, 207, 618, 4256, 1247, 7954, 10559, 11976, 8769, 8904, 9702, 6826, 734, 4387, 8419, 13580, 4851, 6500, 2143, 10462, 3169, 4263, 352, 5381, 4162, 4670, 8381, 1166, 6780, 1004, 803, 5661, 10102, 177, 7286, 13761, 21, 13439, 8181, 9093, 1520, 4571, 6369, 2491, 3699, 12271, 12996, 10887, 6480, 11824, 13508, 392, 13831, 12873, 4240, 10493, 1641, 423, 5037, 5236, 4943, 765, 1862, 8813, 10878, 4092, 942, 13569, 11373, 4137, 2863, 11279, 12136, 12971, 11805, 3007, 12254, 1664, 13408, 817, 2306, 3684, 3655, 13686, 4127, 2585, 2691, 3627, 3895, 12195, 623, 4704, 8333, 5867, 4775, 10557, 10986, 4754, 7767, 7021, 2485, 2409, 733, 2426, 7273, 9472, 4135, 11807, 9287, 9758, 11220, 9738, 9485, 3703, 9846, 8454, 10987, 4173, 2634, 3757, 11013, 3425, 6083, 4115, 6928, 8255, 6862, 5376, 1046, 13518, 12835, 8582, 4793, 7116, 9007, 5378, 12024, 12171, 8440, 7507, 5001, 335, 8380, 8564, 5389, 5275, 4066, 4418, 7868, 10866, 11371, 4866, 7141, 10435, 4474, 13824, 1343, 12545, 7246, 12809, 11207, 7484, 11264, 7962, 12036, 1151, 6808, 10231, 3581, 3370, 13317, 3540, 6778, 6267, 4815, 32, 11496, 13106, 3514, 911, 7621, 10015, 6520, 13819, 12427, 12965, 13554, 2044, 10448, 3545, 7784, 12429, 1051, 11263, 4062, 6403, 12583, 4923, 7658, 10515, 8166, 3749, 225, 3434, 12740, 5815, 10923, 13775, 3787, 6487, 4880, 2754, 3900, 12089, 3880, 11023, 9293, 1281, 5869, 1102, 13836, 394, 3189, 2419, 5939, 3917, 190, 8101, 11932, 3822, 13657, 10757, 7310, 1329, 7008, 6630, 3676, 7173, 12151, 1106, 5839, 5708, 5051, 12666, 3066, 5179, 13332, 5401, 3651, 12149, 4529, 12058, 12972, 4899, 7562, 10662, 11193, 9043, 13770, 6338, 11331, 12117, 13072, 572, 2297, 11483, 2014, 3879, 578, 4480, 4530, 12455, 8724, 7468, 920, 12984, 11707, 1436, 3364, 11430, 10865, 1205, 3723, 9130, 6621, 6933, 5698, 2286, 3793, 13645, 2083, 11167, 1757, 8642, 12584, 1655, 12546, 809, 1253, 6094, 3752, 7879, 660, 12008, 13591, 3426, 11882, 2826, 2792, 5097, 11196, 2722, 9357, 3751, 755, 3874, 1288, 5380, 864, 4160, 5226, 4933, 8112, 7808, 112, 9153, 563, 747, 6676, 4050, 13660, 12152, 12141, 3909, 11800, 9639, 3386, 2130, 8142, 7492, 4832, 7491, 888, 1737, 520, 12654, 5451, 8692, 8038, 5648, 10607, 12934, 4517, 12433, 1993, 9315, 3595, 5701, 12933, 12349, 1256, 12564, 7233, 1504, 3004, 11255, 12595, 3738, 1975, 9761, 7653, 12054, 3797, 4501, 4715, 2891, 8246, 5576, 1136, 9062, 2727, 8427, 11356, 11917, 12178, 10910, 7909, 6054, 10010, 904, 6632, 6539, 11164, 13361, 10630, 1744, 9813, 9263, 12997, 7666, 4895, 2488, 7348, 13553, 13545, 464, 886, 6053, 9682, 11721, 2508, 4607, 8986, 465, 9772, 4257, 12957, 3353, 5842, 10868, 12281, 2373, 12491, 12678, 11961, 2786, 7942, 7872, 6800, 10794, 5892, 3106, 10884, 11678, 11135, 10850, 1116, 4082, 7299, 744, 7956, 12407, 5755, 13726, 10045, 1185, 7037, 8512, 6194, 13626, 2101, 3238, 10033, 4396, 13405, 13467, 3803, 12270, 2002, 2008, 5856, 13275, 6781, 2986, 3442, 11342, 7247, 7829, 9183, 4125, 4321, 2090, 8421, 12007, 13207, 9114, 3925, 7855, 11175, 12390, 5428, 6039, 12321, 5949, 3975, 737, 3005, 13517, 7289, 5731, 12523, 9244, 5650, 2198, 3457, 1916, 7399, 13308, 8277, 8525, 1455, 6020, 8919, 1433, 12413, 5266, 4657, 3850, 5679, 1507, 13493, 8010, 13742, 4706, 4140, 12017, 6653, 3489, 4248, 11090, 1084, 1423, 12203, 322, 6317, 13330, 8843, 4443, 6510, 8598, 10327, 4671, 6259, 2806, 9238, 8860, 9863, 13837, 7551, 20, 4193, 12497, 6515, 10020, 3643, 8618, 10974, 11289, 10664, 12929, 7171, 7514, 12591, 12863, 12649, 11352, 1334, 6438, 575, 13795, 5432, 1788, 8268, 1620, 7034, 9409, 12193, 10034, 2441, 321, 8057, 11622, 2742, 5258, 8499, 3612, 8668, 11172, 12860, 8359, 4881, 5494, 9207, 13713, 4174, 5930, 2743, 3726, 2226, 7241, 11351, 1341, 6367, 1342, 12551, 12582, 19, 12870, 8325, 1841, 12370, 13214, 13103, 12894, 10235, 8570, 11588, 5303, 10199, 9324, 9970, 7825, 4876, 5789, 6764, 10808, 2455, 5498, 2650, 5410, 10239, 2841, 1536, 6503, 10791, 10136, 10651, 9426, 12788, 2055, 5935, 8591, 4506, 10080, 6120, 12145, 9563, 4720, 9375, 3674, 6559, 8495, 6600, 2704, 8085, 10621, 13025, 12526, 2563, 4201, 12229, 5352, 2896, 10948, 11879, 263, 10242, 1799, 3491, 4163, 2758, 5299, 8069, 3561, 10978, 11733, 4795, 9687, 7768, 13460, 11059, 12618, 6660, 3299, 4204, 6380, 13827, 11699, 8354, 1443, 7426, 7981, 7220, 1741, 4614, 6493, 10907, 1369, 1871, 10846, 99, 11116, 6185, 2713, 6239, 9035, 5916, 410, 8857, 23, 5502, 10724, 12480, 5970, 1176, 6567, 7145, 11897, 11535, 8296, 1538, 10173, 10124, 6024, 7422, 3635, 6558, 2030, 1364, 6519, 4245, 6914, 12412, 4399, 6588, 11901, 9171, 1674, 11072, 7017, 5756, 7087, 12404, 9352, 8682, 685, 12057, 1985, 13156, 5279, 6162, 11926, 3818, 3744, 5314, 10077, 4807, 8424, 22, 11408, 9267, 13067, 13336, 6434, 67, 12994, 10442, 1850, 2159, 90, 13115, 3104, 6920, 12495, 6416, 4662, 13112, 5263, 10334, 8453, 1368, 812, 7143, 5766, 7906, 1888, 11506, 2813, 7079, 4461, 9807, 69, 9112, 11538, 11818, 8626, 3175, 9713, 3284, 12395, 11278, 381, 8694, 283, 1651, 12653, 10112, 13163, 40, 11094, 4602, 11065, 8043, 3451, 3987, 13178, 4783, 827, 6060, 1331, 11051, 11746, 2356, 6704, 8970, 7408, 7664, 5600, 6196, 13099, 7729, 11024, 11857, 2817, 12400, 11199, 8892, 8717, 13589, 11244, 7701, 1123, 7462, 2442, 2107, 4260, 527, 7447, 1208, 3764, 10155, 7284, 1952, 12350, 11790, 4363, 8702, 10700, 863, 249, 9259, 10829, 13722, 1013, 7253, 13814, 11087, 12858, 8230, 9142, 10468, 6363, 1133, 8047, 10565, 13409, 8386, 6952, 730, 1803, 5960, 7377, 42, 1049, 3600, 7092, 4978, 3774, 3472, 3965, 4686, 12373, 9801, 43, 1005, 13604, 1970, 13071, 4097, 9595, 9394, 5368, 11556, 9883, 724, 3012, 5078, 12323, 6201, 12295, 1493, 3687, 3889, 956, 3130, 7687, 10752, 11301, 5169, 1148, 10393, 5249, 1248, 9120, 1087, 2389, 8833, 7365, 6423, 2665, 204, 10122, 7824, 2314, 1230, 1612, 3198, 2725, 6854, 12602, 8830, 10792, 11433, 12144, 6066, 7350, 9435, 9457, 11677, 6670, 4107, 9837, 13641, 1207, 1064, 10447, 11874, 11129, 7958, 3134, 2597, 1139, 4335, 7482, 12819, 597, 2653, 5068, 9792, 1774, 13006, 3003, 12960, 9625, 13655, 6913, 12393, 10210, 110, 11953, 3209, 6750, 7988, 11181, 13834, 8397, 5334, 1968, 8479, 542, 11334, 12986, 12386, 9744, 8996, 5252, 5645, 763, 9582, 13429, 7411, 3633, 13647, 9250, 8482, 13312, 5096, 5804, 7412, 6375, 1681, 8747, 2763, 757, 1036, 1856, 2916, 3846, 6798, 10471, 902, 8480, 5286, 8925, 988, 11436, 1553, 3709, 13034, 5914, 2176, 7697, 2787, 6292, 10078, 9944, 6436, 8193, 4330, 3621, 831, 8307, 11829, 325, 7951, 4139, 2281, 221, 10217, 11943, 1687, 8863, 1015, 13423, 4194, 5116, 6379, 11159, 6055, 1722, 7251, 3589, 2541, 4619, 10391, 848, 8294, 5584, 11151, 12568, 7637, 4116, 13313, 6572, 4545, 12311, 5962, 13777, 138, 5553, 12069, 891, 3182, 12922, 3520, 6940, 11217, 13290, 4286, 316, 3503, 3125, 12010, 2154, 1658, 4149, 5626, 12217, 4534, 1747, 13169, 11052, 295, 4914, 3994, 3535, 10428, 8319, 10107, 13040, 10357, 6993, 8476, 4970, 4040, 1366, 5816, 9734, 1196, 7971, 4133, 838, 6426, 8368, 4693, 8777, 12647, 1906, 5882, 3421, 6200, 10147, 8460, 704, 11424, 8993, 10800, 12081, 7090, 8114, 1456, 7894, 13352, 12169, 5583, 2858, 2317, 12031, 10813, 7960, 13787, 10911, 7154, 11608, 5782, 8281, 842, 3253, 5418, 4018, 2041, 8003, 7790, 6192, 7846, 10450, 1851, 4845, 12611, 8139, 4332, 3664, 4169, 3689, 6960, 8436, 3444, 8007, 1790, 9317, 10014, 11625, 6522, 7995, 10154, 1832, 10609, 3394, 2528, 1650, 6440, 12918, 12910, 12601, 10043, 9216, 4689, 12016, 12985, 5356, 9191, 2474, 968, 12517, 13817, 6280, 5316, 9828, 4639, 2924, 6585, 5934, 11095, 3243, 1951, 2930, 9567, 3944, 1819, 3710, 943, 8711, 12437, 11544, 2934, 7947, 1014, 6547, 4013, 10638, 1150, 7608, 10204, 8273, 9438, 3809, 13658, 2200, 5177, 10139, 5475, 1746, 11267, 4744, 7646, 11652, 9568, 6199, 12585, 9717, 13710, 5813, 6956, 2094, 11260, 7213, 7216, 13320, 2301, 8443, 8910, 2736, 11464, 8394, 6441, 10170, 5552, 10123, 411, 9604, 4033, 11596, 11122, 6451, 1578, 11429, 10689, 1137, 9019, 11810, 9704, 9903, 4465, 2184, 12806, 1081, 11140, 6690, 7859, 12580, 167, 13267, 3119, 1486, 3358, 5486, 676, 1833, 5043, 9730, 13547, 11981, 11293, 13370, 5388, 9155, 2397, 5589, 1988, 1424, 5306, 4568, 11858, 6421, 4075, 4006, 9991, 5288, 3306, 689, 12487, 1554, 9864, 362, 6016, 6629, 4430, 8015, 8905, 5060, 3840, 4136, 7506, 5218, 2666, 2444, 9335, 6310, 10390, 4829, 3974, 7904, 3825, 811, 3287, 2695, 7731, 9280, 6911, 814, 11586, 6661, 11728, 11702, 185, 4696, 8051, 11838, 9549, 3196, 11691, 13017, 13662, 9200, 8027, 4406, 716, 2222, 11541, 11258, 1145, 5099, 4496, 10975, 11891, 2529, 7976, 593, 3769, 11411, 946, 11158, 5688, 12633, 8969, 13011, 7928, 641, 10765, 9993, 11098, 9500, 2234, 3615, 5773, 12305, 12206, 8306, 238, 6321, 12454, 9490, 11061, 1555, 13096, 4755, 6869, 2114, 11323, 6820, 10430, 5267, 10460, 369, 11120, 12907, 13176, 10990, 4806, 8107, 1999, 12684, 11188, 3767, 8961, 6873, 5499, 3494, 10412, 11520, 4902, 5315, 10703, 3136, 9905, 2855, 7602, 11852, 4063, 671, 5932, 8979, 268, 12315, 5409, 2450, 7845, 4562, 8759, 11276, 6447, 12071, 1983, 1718, 8938, 7552, 11839, 9804, 4898, 709, 10482, 9656, 3055, 11177, 3088, 1000, 1179, 168, 13136, 12879, 8873, 6918, 1425, 4660, 11701, 6639, 12165, 1211, 9753, 9724, 12157, 7035, 4351, 6892, 6285, 6895, 6909, 7609, 1328, 459, 1935, 5094, 8950, 8868, 810, 1698, 11457, 5509, 12198, 8944, 4787, 11477, 4129, 5161, 5214, 2102, 3355, 8165, 8900, 13363, 9025, 10384, 825, 7835, 9859, 13142, 6736, 3220, 13557, 10469, 12725, 6476, 9135, 1002, 347, 10164, 2197, 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4440, 1994, 8559, 5177, 1782, 11343, 9420, 7074, 2140, 11519, 4905, 3018, 1280, 11965, 10067, 1878, 11104, 10829, 6549, 2680, 6806, 8370, 3747, 2525, 8528, 11469, 8913, 13754, 1568, 737, 12008, 2015, 8406, 5970, 7602, 7817, 9484, 5320, 127, 12541, 68, 13425, 3278, 11114, 2484, 3216, 6857, 2134, 1251, 5463, 12410, 9061, 8008, 11318, 4834, 8955, 3894, 8397, 10333, 1746, 10628, 1995, 8563, 11787, 4362, 3260, 7144, 9558, 11625, 9958, 3338, 4781, 85, 6811, 12467, 3818, 8933, 11681, 10299, 1610, 12776, 5304, 7430, 4954, 9873, 12893, 9693, 6689, 4092, 7110, 12679, 778, 431, 1146, 8046, 10046, 4667, 8326, 1491, 201, 3176, 12375, 13070, 2132, 4574, 5412, 10117, 9410, 11428, 11274, 8785, 10376, 8544, 5673, 5895, 12982, 1784, 2961, 7597, 8213, 9201, 2442, 9265, 3622, 8738, 7908, 1648, 8312, 7155, 1845, 10113, 13693, 8109, 12904, 5879, 6292, 13737, 6604, 9904, 4347, 11446, 6489, 12916, 8287, 1242, 9755, 225, 872, 769, 7610, 6885, 12179, 5113, 10537, 10075, 1131, 6516, 2351, 10735, 7899, 4507, 7042, 3702, 11557, 7024, 3186, 8327, 9175, 7692, 8165, 10091, 3930, 13174, 11374, 7527, 10258, 5281, 615, 12810, 13756, 5639, 6205, 8799, 5662, 574, 522, 1708, 8350, 2577, 11351, 3710, 4662, 12311, 1179, 10522, 2071, 5329, 11762, 10479, 13730, 11282, 10509, 1369, 13440, 8161, 7536, 868, 2836, 5986, 1705, 9546, 5403, 608, 3065, 528, 12100, 445, 6578, 4344, 3045, 9242, 2390, 13118, 8823, 8936, 3213, 11899, 6709, 401, 13207, 10717, 12725, 1048, 6563, 13248, 4112, 12532, 7199, 2447, 13703, 4824, 5961, 11357, 11345, 6622, 11798, 13202, 9455, 2980, 811, 13106, 8053, 1787, 4703, 5722, 10715, 6093, 2113, 12954, 4068, 12218, 7415, 11183, 8441, 9397, 10957, 11066, 1728, 4434, 2522, 6068, 296, 6413, 12554, 6809, 8054, 3934, 13059, 11525, 678, 3621, 3810, 9040, 8834, 4843, 6647, 9560, 10132, 3791, 8118, 4479, 12781, 2976, 238, 4105, 1151, 10146, 1263, 11212, 9069, 21, 3754, 2236, 8183, 6475, 11847, 9300, 13055, 3469, 7594, 968, 13170, 12569, 13198, 4576, 11053, 7992, 2240, 11202, 6967, 5077, 5501, 13329, 10431, 7919, 2278, 1587, 1574, 8887, 11313, 10194, 7172, 247, 10251, 6440, 2475, 11287, 7669, 4560, 5520, 8790, 850, 12, 10629, 7417, 13833, 570, 2399, 13773, 877, 1121, 672, 8234, 6788, 13101, 6894, 6472, 10416, 4649, 11142, 5849, 11044, 6665, 3490, 13224, 8848, 4428, 10305, 6352, 4532, 8408, 10676, 1059, 4096, 6789, 5377, 3331, 8788, 3120, 2654, 7656, 7375, 2571, 4412, 8592, 10269, 8120, 5567, 5082, 12980, 1317, 3941, 5732, 8405, 717, 13793, 4740, 10992, 3461, 9824, 9340, 1032, 12325, 3812, 6936, 13672, 3977, 2713, 4786, 9892, 8731, 3197, 13560, 2409, 9233, 6902, 9744, 11487, 7874, 6495, 3562, 325, 6701, 254, 7410, 5903, 4138, 10747, 13042, 2125, 105, 1309, 2541, 10430, 1511, 2412, 364, 736, 6851, 12129, 10436, 3751, 2636, 3547, 5379, 2310, 7519, 1250, 11413, 9782, 13803, 704, 9082, 9740, 11296, 10984, 3857, 11389, 4354, 12247, 4454, 12774, 10746, 9210, 6073, 4666, 11783, 7329, 12158, 11816, 11199, 4168, 12105, 4792, 13458, 10472, 2882, 8895, 13649, 7902, 4417, 675, 11336, 6436, 11347, 3653, 7051, 13096, 1833, 2131, 8331, 13468, 4377, 7747, 6981, 9461, 3749, 1997, 7284, 921, 7270, 9840, 3431, 5780, 12615, 5475, 13197, 13183, 4876, 5667, 4118, 1055, 3750, 11399, 10229, 12752, 7218, 8087, 8894, 331, 9374, 4747, 6296, 10800, 2782, 2623, 4110, 70, 10908, 7855, 2809, 9774, 9990, 9239, 8524, 12926, 5497, 9569, 9814, 9432, 9906, 5967, 11806, 2203, 5894, 4797, 12069, 1986, 11031, 4515, 8661, 9993, 4509, 3146, 3683, 12546, 7333, 944, 12444, 12009, 972, 12872, 9389, 10223, 1992, 13216, 3068, 10255, 6000, 11089, 894, 2410, 3367, 8617, 11429, 37, 10283, 964, 12600, 11275, 13719, 4368, 11271, 8145, 11754, 1231, 11185, 3511, 3455, 1709, 3378, 12109, 2196, 1346, 8662, 5062, 9173, 4643, 12209, 13481, 5955, 723, 8421, 6379, 9532, 12149, 13518, 12530, 2053, 195, 8454, 9557, 2491, 11713, 12453, 10927, 1254, 10672, 7254, 8302, 5814, 3756, 9318, 10573, 9875, 4548, 7864, 11474, 10834, 2852, 12751, 5026, 13473, 13760, 9553, 11740, 681, 8922, 344, 5383, 9160, 5518, 7722, 6982, 2013, 1912, 1262, 9769, 10409, 8085, 12252, 1533, 657, 7381, 4613, 6182, 4415, 3801, 3082, 12164, 976, 6487, 4197, 2724, 3171, 755, 5011, 11170, 9354, 10696, 9180, 5647, 3658, 6852, 12071, 7407, 7547, 11022, 10212, 9603, 12715, 13138, 6321, 7173, 3667, 10557, 4831, 3911, 10830, 1123, 3411, 7071, 6634, 12493, 9429, 9038, 8804, 9408, 526, 11956, 9505, 841, 7012, 516, 1396, 9010, 3129, 3132, 12660, 8359, 7573, 7266, 5832, 8724, 10582, 8666, 7914, 11198, 4489, 3864, 2816, 12447, 3753, 3861, 10322, 295, 5535, 4577, 768, 9044, 7177, 7663, 13623, 8314, 11580, 10896, 12969, 3636, 7872, 9154, 7227, 8665, 11147, 3005, 10173, 8937, 13320, 5263, 11108, 11953, 2007, 7165, 7676, 1328, 10444, 2497, 12091, 13514, 12260, 7677, 7895, 13398, 3063, 6163, 8948, 2774, 3914, 8982, 9689, 507, 6228, 9825, 12745, 12265, 11543, 5361, 967, 11565, 1470, 12326, 4134, 10610, 13267, 1683, 10528, 8619, 279, 8822, 8353, 384, 4207, 10510, 1184, 13385, 8024, 10731, 13227, 8726, 1362, 1476, 6350, 2844, 10661, 2229, 4748, 10149, 7503, 13119, 5841, 10653, 6088, 6102, 8879, 9480, 2518, 4536, 7156, 10778, 13631, 10361, 2700, 9523, 10081, 3457, 6249, 5839, 11444, 1025, 2033, 4477, 2934, 4561, 11538, 12805, 8264, 13151, 1952, 4182, 3790, 8334, 6714, 6917, 6707, 9394, 3625, 10453, 3209, 9726, 1607, 2392, 9923, 8533, 13530, 10434, 10876, 13629, 797, 11871, 11741, 3201, 8500, 7286, 8603, 10096, 3380, 13810, 765, 4107, 9922, 3606, 9135, 13143, 1799, 10692, 7167, 11407, 3720, 7109, 6730, 11341, 8536, 71, 6633, 5164, 3675, 1409, 199, 9604, 13242, 12184, 3571, 10296, 2648, 5658, 11547, 7915, 12463, 3767, 12624, 9130, 6301, 12015, 5865, 13827, 4777, 3482, 10427, 3379, 1852, 2667, 12110, 467, 12680, 3820, 3723, 13476, 8143, 6094, 3208, 5122, 1415, 6242, 9152, 9359, 13304, 1298, 6191, 10320, 6764, 5003, 11376, 10357, 2372, 6971, 10755, 12702, 12489, 12596, 1586, 5877, 297, 11268, 5948, 7930, 5847, 7754, 10500, 11167, 12947, 11530, 698, 7014, 8117, 3755, 7885, 9692, 8438, 5946, 5843, 6151, 4250, 1056, 10274, 8423, 8680, 11952, 3532, 4979, 2432, 8363, 13033, 6287, 4289, 6271, 4617, 5375, 4510, 10276, 8548, 10038, 4212, 1050, 8440, 10272, 2408, 10748, 3595, 1259, 9501, 2770, 240, 7758, 10351, 46, 1192, 10062, 11782, 11875, 1365, 3341, 901, 3450, 1945, 7456, 10401, 5271, 10766, 2798, 2321, 10686, 10760, 5954, 2463, 10925, 557, 3274, 9818, 11281, 11674, 9023, 3733, 2405, 10460, 12565, 4989, 1840, 2939, 9531, 13428, 12114, 1430, 1870, 13024, 4689, 3283, 2804, 8875, 2999, 4737, 3093, 4698, 12643, 1473, 2927, 13083, 2779, 9012, 4543, 3559, 11564, 5169, 7579, 13618, 1388, 10595, 3887, 7775, 1022, 2249, 465, 11288, 13160, 7681, 3422, 13276, 10155, 7815, 8981, 12771, 150, 4749, 13759, 13178, 10457, 7642, 12529, 10790, 9076, 11269, 7128, 4639, 13259, 11197, 7780, 12315, 3033, 10979, 7627, 8590, 13808, 12297, 4754, 3451, 7178, 13384, 2403, 1367, 12989, 7552, 963, 9065, 12495, 12423, 2655, 10757, 13516, 2985, 547, 2967, 912, 5395, 8569, 59, 9139, 8179, 1603, 10095, 7566, 6067, 1488, 13233, 12588, 5743, 8800, 11083, 1844, 10370, 4145, 4196, 3428, 5610, 1685, 1069, 13065, 2853, 3091, 3013, 10365, 8461, 13788, 597, 5523, 10859, 12076, 324, 3084, 213, 1774, 10438, 9685, 1458, 8504, 1932, 13023, 4373, 1316, 319, 11189, 10844, 6096, 10584, 5682, 9855, 5120, 6771, 10082, 7741, 5336, 12794, 5749, 2739, 3900, 3354, 4233, 8792, 8685, 10886, 12975, 4585, 3374, 8497, 5045, 12094, 161, 7125, 2435, 8709, 6183, 10420, 3434, 9225, 6409, 10869, 11292, 9131, 10490, 4075, 11838, 13660, 3690, 7191, 7164, 7948, 514, 1732, 3050, 11435, 10306, 8672, 3843, 3363, 8851, 521, 5816, 582, 9269, 10563, 2548, 8193, 12721, 1127, 9037, 10633, 7020, 8664, 9643, 2574, 9294, 6983, 6338, 776, 12899, 4321, 1015, 8625, 11912, 7966, 6920, 5663, 3339, 4288, 7549, 13610, 589, 12685, 7553, 5425, 11371, 1205, 4493, 11931, 7570, 9245, 11123, 827, 9509, 533, 5668, 581, 10086, 12875, 8378, 4911, 1658, 12371, 4521, 6450, 2091, 12381, 1499, 2343, 8170, 9991, 2364, 13570, 4645, 2280, 4056, 11822, 10547, 5086, 13268, 2474, 10678, 11247, 7007, 12412, 8281, 11621, 12235, 7666, 9916, 2886, 10662, 6359, 4616, 1564, 11365, 917, 7233, 12080, 5250, 5374, 3664, 2580, 1984, 4936, 8891, 2142, 11491, 4719, 13605, 1163, 8208, 3060, 1557, 10966, 8005, 1757, 1951, 11770, 12724, 5940, 7285, 1072, 3012, 8892, 4410, 8808, 676, 1849, 112, 8369, 8455, 923, 12806, 3526, 2962, 2954, 6938, 11600, 4977, 1070, 3681, 10341, 8037, 8472, 13822, 7009, 2638, 1803, 10810, 5689, 13314, 10665, 13154, 1809, 11259, 13751, 986, 3768, 5187, 2326, 6652, 9956, 5985, 75, 9347, 11607, 777, 709, 5887, 8311, 9759, 11720, 10614, 7712, 11645, 2834, 11378, 4547, 4888, 333, 943, 8437, 5140, 2093, 2266, 11119, 524, 760, 11112, 5228, 12067, 7824, 8576, 10704, 4622, 4861, 3210, 5276, 101, 8200, 202, 13677, 12878, 159, 11672, 13734, 3365, 11122, 1935, 1034, 2526, 8631, 13406, 9434, 13488, 1842, 4449, 10259, 2625, 1138, 3943, 13455, 13451, 1030, 7772, 8748, 2984, 6027, 8390, 1631, 2082, 3169, 5244, 684, 6939, 746, 5775, 619, 2943, 5477, 7002, 12380, 9819, 1019, 7378, 13595, 11055, 8890, 9562, 7921, 8289, 10792, 2336, 13295, 1214, 10997, 12821, 1464, 12202, 4734, 5922, 8701, 7083, 9907, 11364, 6859, 6164, 6280, 6033, 829, 920, 3740, 1368, 13005, 13671, 6868, 5352, 7134, 10467, 3663, 3170, 9246, 10964, 12053, 7903, 11886, 9564, 8479, 4938, 4027, 4680, 3240, 8535, 13834, 8422, 10865, 2612, 6351, 7405, 1756, 8222, 11037, 6595, 13213, 1002, 1067, 13284, 890, 9534, 5313, 9416, 4334, 3059, 990, 33, 4017, 13755, 1686, 4551, 2034, 12159, 13427, 3249, 12851, 553, 2270, 8228, 560, 7420, 2287, 10335, 3376, 12556, 9543, 2309, 7045, 4005, 7122, 1359, 884, 7195, 10308, 10558, 3069, 10089, 10608, 2024, 257, 8007, 12347, 13344, 3572, 984, 11602, 2483, 1749, 1621, 9999, 8098, 13397, 9417, 4800, 10512, 5550, 12436, 6783, 11007, 9463, 6016, 57, 3548, 3398, 13498, 4952, 6377, 9781, 3624, 9969, 2604, 8496, 7289, 3381, 874, 2027, 10188, 12350, 12734, 9921, 11262, 10029, 10649, 6990, 7734, 8263, 2707, 2856, 7138, 11486, 9406, 11447, 11955, 9255, 10928, 4712, 7601, 1500, 8196, 10399, 13679, 610, 5977, 4664, 4151, 169, 3716, 1924, 2286, 9895, 12141, 587, 9941, 12820, 2864, 11735, 6208, 7856, 12390, 3136, 12547, 916, 8775, 8274, 12531, 9831, 8444, 10285, 866, 9496, 4022, 4427, 7418, 6570, 96, 8386, 2375, 4046, 3276, 2041, 4199, 13431, 2651, 9147, 8493, 440, 2605, 11149, 13725, 6469, 8505, 9503, 5231, 5527, 3047, 13596, 3031, 5491, 10022, 991, 12739, 8230, 9666, 10765, 5925, 1765, 7900, 10222, 4341, 6, 13780, 227, 9803, 11897, 11120, 6650, 12993, 1783, 11630, 4100, 12378, 7269, 12622, 9252, 8385, 10041, 11585, 11152, 9393, 10450, 11395, 9015, 7146, 10071, 9823, 9409, 7198, 7133, 8646, 341, 8654, 7591, 10594, 13633, 12786, 2002, 64, 9031, 4614, 7176, 9522, 4725, 3962, 12051, 12230, 10570, 4889, 2189, 6270, 2389, 12698, 1378, 3161, 5563, 4002, 8508, 6444, 2715, 13521, 9166, 5892, 6330, 545, 6950, 13014, 552, 13327, 3247, 9167, 10174, 5997, 3955, 6692, 4409, 2553, 2488, 6741, 9625, 9098, 9820, 10279, 10740, 6795, 5706, 10397, 7969, 12594, 13494, 291, 10701, 4714, 5913, 11255, 2262, 10325, 11524, 7162, 13619, 10883, 12796, 6439, 1210, 6620, 453, 4728, 11814, 3811, 5224, 4848, 10369, 6196, 9829, 6109, 7575, 356, 11739, 10725, 13423, 2501, 5388, 6753, 12422, 11975, 10814, 104, 1076, 2304, 6964, 7226, 8300, 5509, 3744, 831, 1979, 7454, 10366, 11140, 3275, 13374, 10764, 6667, 2214, 566, 8755, 9741, 9879, 11075, 9327, 11458, 7977, 7537, 7065, 8480, 6745, 5450, 11276, 6066, 8367, 853, 8760, 11300, 326, 12612, 10853, 1463, 8934, 2850, 5846, 6322, 9221, 9158, 11980, 1522, 2652, 5243, 11054, 12026, 2095, 12933, 5700, 8498, 1920, 13544, 926, 6492, 12777, 7631, 9657, 6641, 9988, 12514, 5539, 2693, 1441, 4987, 6025, 12779, 9174, 9964, 6558, 5643, 9091, 4730, 10301, 633, 13702, 981, 3987, 11590, 542, 10329, 74, 12096, 11511, 8182, 6615, 7230, 2003, 2797, 9223, 3254, 4194, 5219, 11810, 4773, 724, 5618, 11204, 1741, 509, 11637, 9634, 4528, 10723, 2584, 10026, 3153, 11766, 7036, 13418, 12121, 2586, 2419, 2176, 6112, 13741, 689, 3495, 5664, 12418, 11756, 7881, 12874, 10693, 7171, 9260, 948, 11200, 4897, 2626, 1147, 3014, 7565, 11484, 12701, 7388, 8545, 11306, 2795, 152, 1615, 5367, 11412, 10426, 8770, 8081, 12005, 4473, 3782, 2009, 5371, 11043, 2299, 1926, 7202, 11270, 7909, 3986, 6617, 8014, 11076, 1327, 5267, 2205, 3137, 4865, 11605, 5431, 366, 7732, 6768, 9283, 11694, 7987, 1094, 2621, 4869, 6670, 7357, 9817, 13707, 10613, 6400, 8602, 13044, 4153, 11888, 12442, 11201, 7578, 1583, 1446, 2888, 7639, 5061, 12986, 13301, 7613, 8935, 7390, 9376, 9648, 12414, 6005, 2141, 10863, 10392, 1302, 13251, 5822, 4907, 5692, 5220, 2527, 5439, 1113, 11866, 5581, 2376, 1340, 8769, 8918, 69, 882, 8188, 6344, 8298, 4691, 6657, 1561, 8431, 3481, 8889, 8187, 3474, 9377, 5848, 714, 52, 5600, 5365, 1701, 3709, 7574, 6415, 12043, 770, 8660, 10048, 12881, 2737, 13615, 10915, 5226, 13214, 12310, 5498, 762, 4880, 7569, 10439, 4210, 10885, 7707, 3586, 3141, 5184, 2152, 10878, 417, 460, 12534, 7635, 5192, 8517, 4605, 5844, 391, 989, 13319, 11285, 12300, 3329, 7577, 7365, 6918, 956, 6905, 11586, 8238, 7736, 8031, 12093, 3391, 8407, 5634, 9321, 7341, 2723, 7654, 139, 11344, 5150, 7760, 5529, 7781, 3117, 13185, 10371, 8998, 5306, 1815, 6337, 8670, 1023, 2989, 5157, 10734, 11884, 11194, 2101, 13260, 12029, 9852, 5827, 7035, 2931, 8310, 1230, 4120, 6168, 809, 3609, 3588, 3574, 4957, 4994, 12111, 13047, 6749, 7463, 355, 7633, 7520, 3105, 7205, 10969, 9070, 229, 4211, 11772, 3079, 4379, 1884, 4455, 3056, 8271, 9702, 8636, 11982, 10666, 2257, 2175, 9681, 1045, 3487, 3110, 838, 8251, 9332, 5608, 1440, 11872, 8393, 2382, 13643, 7147, 10873, 6713, 11819, 63, 4619, 2330, 2383, 2146, 11266, 5582, 875, 215, 12753, 8160, 3088, 7349, 11624, 7947, 12066, 2043, 5155, 11751, 4557, 5659, 791, 1112, 6787, 13239, 12455, 13454, 5357, 5233, 12306, 2819, 11991, 3034, 11958, 1892, 12603, 10530, 6491, 5072, 7787, 7950, 5821, 10591, 13069, 2210, 12717, 12494, 8488, 10066, 4263, 1988, 10779, 4324, 13229, 7318, 1898, 7530, 7509, 237, 12625, 4144, 261, 12435, 9593, 3473, 7207, 4601, 10707, 9333, 5390, 7352, 6111, 1332, 12483, 6059, 9488, 1335, 7459, 8224, 1426, 12793, 499, 9282, 7975, 9402, 5665, 2982, 11711, 1284, 10334, 2441, 12490, 5277, 12656, 7673, 2876, 4584, 6619, 13817, 1232, 9163, 7438, 7184, 9199, 7759, 7700, 7440, 12193, 5328, 4247, 4342, 1700, 13778, 9584, 12018, 4090, 13323, 2854, 6793, 10831, 402, 9379, 10158, 6012, 3149, 11823, 12189, 11755, 8687, 4230, 230, 1879, 10787, 2608, 410, 2437, 8460, 8025, 2688, 12869, 5311, 10131, 11905, 4681, 10953, 8952, 9544, 361, 9962, 4799, 8442, 1435, 7826, 1274, 10899, 4879, 8107, 4089, 2628, 4553, 8751, 8910, 7538, 5409, 4632, 7618, 4327, 3566, 12082, 4720, 4193, 8068, 3022, 7047, 3614, 4425, 7961, 5791, 4596, 9521, 8868, 3463, 3549, 9257, 3551, 12818, 9064, 4611, 8612, 4462, 4343, 6632, 576, 6547, 7111, 4366, 8659, 9309, 4696, 2206, 2031, 7249, 4566, 5153, 9430, 9459, 1830, 5444, 10793, 2520, 12845, 6049, 5850, 4020, 1330, 8243, 5167, 5705, 627, 9864, 13475, 3985, 10634, 8867, 5916, 8616, 1169, 1358, 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9544, 9095, 3703, 5471, 1775, 5777, 9367, 11908, 12743, 3434, 10884, 10487, 5613, 2492, 6253, 12652, 11268, 10747, 2422, 1891, 1175, 3823, 3681, 3876, 8061, 3030, 6918, 13224, 4158, 13296, 7634, 11247, 3002, 9575, 1934, 10706, 6456, 10177, 8356, 2506, 4244, 188, 6528, 445, 3110, 3343, 5864, 3191, 12434, 11803, 7352, 7406, 3465, 7702, 2066, 10316, 13448, 3433, 7052, 4714, 8124, 9662, 2192, 13075, 4012, 10033, 3836, 5330, 3547, 12364, 6552, 8193, 3075, 13114, 4372, 11076, 3524, 8531, 8530, 9329, 9687, 13608, 5821, 11936, 13040, 5093, 10146, 9274, 1481, 2986, 11056, 4066, 12948, 9949, 6479, 10029, 2018, 5825, 9733, 2078, 4755, 8667, 11002, 7441, 3292, 7533, 6019, 2564, 2900, 6914, 2927, 12630, 8536, 5333, 9022, 9156, 4525, 7449, 5741, 3814, 9948, 10748, 3541, 3295, 8910, 8666, 4277, 2702, 13047, 3017, 6252, 8355, 11833, 7262, 11293, 6903, 13625, 10494, 7972, 9833, 11814, 9955, 9720, 6960, 2851, 11282, 8506, 6490, 3467, 3880, 13551, 13612, 13280, 13579, 5200, 6309, 13074, 7428, 9605, 1498, 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11208, 12059, 7028, 12003, 8212, 1967, 6868, 1098, 7518, 11765, 7844, 10229, 11316, 12842, 4704, 13202, 1212, 4319, 968, 9297, 3513, 1613, 6929, 956, 11781, 12039, 12859, 13007, 10250, 4141, 3767, 328, 9745, 4402, 11728, 3118, 156, 11258, 144, 1176, 8764, 9020, 1602, 13024, 12006, 3629, 3754, 899, 2482, 5344, 11686, 841, 3617, 10377, 1168, 8751, 8480, 1316, 9378, 4301, 10259, 10031, 4782, 5883, 3540, 8331, 1517, 13050, 6550, 9558, 10922, 4970, 1683, 6475, 3931, 2334, 12792, 6636, 1401, 13394, 3895, 13364, 10596, 9863, 2210, 1108, 1961, 5982, 4325, 10638, 1277, 5431, 12007, 13405, 1606, 8930, 3575, 1456, 12984, 9128, 6030, 3120, 12361, 11488, 724, 10267, 11932, 7054, 771, 6386, 13309, 8067, 3126, 27, 3969, 10897, 3334, 1091, 5348, 4932, 8336, 12290, 2883, 6610, 13617, 4090, 2108, 1581, 8861, 10547, 2026, 7066, 11844, 12497, 13790, 8180, 4952, 4731, 1841, 7548, 13461, 959, 9269, 509, 8583, 3636, 7373, 8249, 4146, 1249, 13582, 5509, 3054, 3484, 4633, 7472, 13285, 5029, 7304, 2046, 9073, 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11699, 1740, 4207, 4819, 6332, 13423, 9435, 13184, 5242, 1875, 3529, 11398, 11258, 5186, 12927, 10834, 11437, 4960, 5824, 13294, 12420, 12227, 2354, 12101, 992, 3257, 12152, 12790, 8075, 5010, 11281, 4754, 6082, 8641, 10156, 5928, 13719, 5119, 12160, 1473, 990, 415, 1677, 744, 7672, 9880, 6306, 4108, 10357, 1837, 13773, 12432, 11942, 11626, 11436, 10851, 9456, 2674, 2650, 5290, 6028, 13360, 2709, 1196, 8341, 876, 5665, 9413, 4610, 6419, 7063, 789, 575, 4722, 3175, 9963, 11116, 4035, 5475, 9430, 2782, 2546, 10669, 1011, 12440, 12807, 10029, 1584, 205, 5035, 13725, 2502, 13265, 2815, 4607, 25, 6555, 11810, 5858, 9262, 3009, 7825, 5210, 5769, 8706, 8684, 12339, 13564, 10556, 3809, 7425, 6039, 11636, 5646, 6489, 11842, 12353, 2597, 12335, 10219, 9346, 12621, 12955, 11701, 548, 3093, 6032, 3284, 8645, 10824, 4373, 12035, 11823, 3074, 7742, 6713, 10125, 3824, 5626, 2992, 8533, 3521, 9163, 13187, 8112, 3183, 9933, 8120, 2794, 537, 7110, 1545, 11117, 38, 12097, 813, 3324, 1860, 2382, 7657, 2900, 4824, 6201, 8985, 10584, 4803, 3003, 1750, 13536, 13784, 3382, 4084, 12316, 8383, 4650, 6908, 13735, 5720, 11908, 801, 1555, 1300, 3167, 4267, 2959, 11444, 11062, 10416, 13142, 11420, 1040, 5188, 7205, 6506, 6969, 9422, 94, 8119, 8473, 11573, 5990, 7369, 4538, 294, 11287, 10444, 13301, 12789, 15, 9129, 6849, 12754, 6927, 5432, 351, 8600, 10334, 11666, 10070, 2151, 2949, 12720, 4786, 7562, 1833, 7326, 1508, 4852, 4311, 11039, 1557, 6333, 7046, 8164, 9608, 5539, 577, 8245, 6845, 2643, 6292, 11326, 7431, 3241, 3901, 6789, 12452, 12671, 11069, 13802, 10885, 10690, 11352, 1103, 8076, 6977, 8640, 13001, 1025, 5264, 12095, 7461, 11009, 4683, 7223, 5273, 11371, 12290, 782, 11441, 5693, 6596, 8190, 8161, 8480, 13124, 11076, 5774, 5483, 11861, 1531, 12985, 5702, 13710, 10607, 2696, 11494, 8848, 3991, 753, 13322, 2459, 11881, 12078, 5651, 6299, 466, 9862, 6087, 6077, 1049, 953, 2856, 3639, 6886, 1447, 8270, 10179, 8617, 11054, 2579, 1184, 932, 4692, 2498, 5658, 11784, 3958, 11483, 7451, 13037, 10526, 2167, 10735, 8115, 1996, 9057, 5392, 12998, 7138, 4462, 3912, 5586, 3075, 4792, 5279, 7006, 6349, 11305, 4022, 6626, 3757, 11308, 10933, 10704, 1780, 1004, 4226, 8379, 2324, 10773, 4058, 12721, 2381, 404, 9270, 9776, 8476, 4254, 612, 10582, 8263, 3862, 590, 6679, 2747, 9561, 10587, 8790, 4025, 2260, 9405, 9841, 6185, 3714, 2269, 13258, 7835, 6241, 11851, 5871, 2028, 323, 6045, 6583, 12345, 6834, 5444, 12908, 2371, 1470, 1975, 1791, 3283, 8189, 7665, 3610, 9100, 12620, 9589, 10075, 13549, 12837, 6967, 2702, 9861, 8385, 11972, 1992, 12907, 10575, 9815, 3631, 7488, 867, 13658, 13443, 2126, 10025, 3495, 13819, 5116, 4924, 1175, 8602, 141, 12653, 716, 6507, 2316, 13824, 5268, 1057, 553, 8712, 11924, 8878, 3782, 6649, 10576, 11981, 2096, 52, 13462, 4247, 3754, 865, 1183, 3988, 9111, 1959, 4069, 1186, 1323, 11659, 5669, 3652, 6699, 5349, 2407, 13644, 9885, 5655, 13418, 9222, 1487, 1591, 8106, 7477, 1594, 12925, 901, 13193, 8747, 3440, 3579, 731, 7011, 4268, 12773, 11464, 5850, 6022, 4899, 5443, 3357, 12644, 11098, 12821, 6394, 977, 13740, 2973, 1613, 13416, 12626, 520, 10897, 8535, 6885, 5416, 5168, 9441, 11741, 4801, 7936, 10144, 7306, 11095, 11389, 11945, 4798, 4289, 4121, 12437, 4943, 6854, 4930, 1414, 3402, 10726, 11007, 5166, 9791, 8218, 6125, 166, 2145, 4001, 824, 249, 11402, 9966, 12028, 3215, 1971, 3232, 10552, 748, 928, 11665, 12779, 12492, 11651, 4236, 3358, 7212, 5175, 1270, 1440, 13232, 12810, 1509, 6876, 12685, 6974, 8415, 7684, 6696, 11247, 3703, 1352, 8139, 10779, 4684, 7075, 384, 815, 3037, 9752, 10731, 1646, 5241, 3038, 12017, 9609, 4535, 12730, 3613, 3642, 11596, 9759, 2575, 4152, 1808, 2326, 7096, 3048, 2284, 6984, 12872, 13767, 5496, 680, 8715, 1751, 4347, 2136, 5709, 12948, 1976, 5348, 10286, 8621, 6470, 364, 7604, 12766, 6820, 13687, 10026, 12569, 12556, 6107, 1803, 11809, 8136, 1079, 7776, 12591, 9720, 7681, 9690, 8902, 13456, 1174, 2264, 5939, 329, 3856, 4287, 13673, 2206, 2304, 3774, 5572, 12901, 7788, 13704, 13249, 4335, 5452, 12281, 7016, 426, 11960, 13756, 9750, 5733, 8593, 2482, 4338, 5428, 8788, 2030, 13562, 13506, 487, 8500, 2373, 11017, 7186, 11228, 9769, 6202, 13080, 13797, 8320, 8752, 6959, 11554, 11999, 3698, 12898, 12535, 3434, 5084, 2697, 7899, 858, 699, 5067, 4053, 7348, 7476, 4019, 11484, 3253, 6431, 12954, 471, 3670, 5964, 4578, 978, 13238, 1122, 540, 13158, 6520, 3882, 9757, 2832, 4205, 534, 12445, 11941, 2621, 161, 8869, 450, 5705, 10494, 7570, 8789, 6473, 8664, 6832, 12546, 4766, 1258, 12146, 12900, 3897, 132, 4564, 4871, 11584, 8990, 7845, 3848, 6043, 1535, 2841, 7860, 11683, 213, 4764, 13092, 10889, 1056, 2791, 4775, 9870, 13420, 10184, 10539, 11729, 803, 3025, 13721, 6895, 9816, 5498, 3800, 2681, 1855, 2348, 8556, 8015, 7823, 6235, 10593, 3504, 8911, 6472, 7889, 12294, 10463, 1493, 12686, 10464, 9564, 5054, 834, 4599, 11227, 8317, 2922, 4115, 7784, 12745, 11506, 3806, 5930, 9354, 10063, 8447, 11801, 11608, 10947, 9412, 10550, 8114, 8805, 479, 4777, 9184, 6755, 10728, 8005, 11125, 5573, 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7233, 5211, 2155, 11344, 60, 6115, 5122, 6475, 2744, 11079, 3489, 916, 3685, 1327, 13453, 7667, 2088, 3249, 130, 772, 2758, 874, 7605, 293, 5745, 5328, 12415, 9259, 982, 5595, 7733, 11679, 615, 11854, 11231, 5679, 2299, 2903, 2121, 2270, 10745, 12053, 3844, 10495, 4307, 219, 6675, 13203, 1977, 12573, 722, 8325, 1384, 9201, 10308, 3483, 12692, 5184, 3589, 4362, 5250, 9489, 4294, 4384, 11139, 230, 3059, 12799, 4645, 13788, 6293, 5158, 4828, 7122, 4626, 336, 7108, 5642, 10562, 6049, 3662, 541, 4285, 346, 11644, 6941, 9033, 4201, 2945, 4747, 11913, 5794, 5356, 13110, 5993, 11473, 3540, 561, 5640, 5227, 6951, 2921, 4052, 5147, 11615, 1189, 9130, 8006, 6192, 836, 5521, 546, 2529, 6260, 12199, 13479, 6264, 6683, 3053, 13419, 2437, 9103, 11514, 7158, 10339, 8422, 1286, 1678, 12639, 12858, 7355, 4093, 7435, 11600, 10351, 5861, 3171, 3465, 12737, 5326, 10493, 5722, 2465, 1957, 7442, 7182, 5481, 7872, 9501, 700, 2653, 5998, 9233, 5105, 10558, 5075, 6736, 9481, 11724, 2914, 13275, 414, 9574, 3224, 6242, 6962, 3013, 2692, 2541, 10632, 13306, 11550, 11264, 3461, 370, 5206, 5732, 9472, 12791, 13540, 13329, 11234, 9335, 5502, 13545, 6265, 2538, 13300, 12695, 11114, 9029, 12302, 7354, 2346, 9538, 5198, 3205, 9079, 1044, 2225, 8571, 9763, 4257, 11304, 6670, 8576, 13224, 2985, 6359, 3002, 4165, 8186, 10800, 2164, 6071, 10205, 9305, 1761, 2755, 1259, 12355, 1335, 6988, 13202, 12166, 1789, 4449, 595, 8927, 10892, 10969, 5274, 11082, 3105, 12026, 1344, 12732, 4841, 1801, 7794, 13639, 637, 5881, 12850, 10671, 10245, 2195, 4715, 12486, 7888, 5329, 13135, 6193, 3939, 2210, 11363, 1874, 11574, 11414, 9317, 4427, 8973, 11803, 7530, 5766, 2454, 9127, 6128, 8838, 13404, 2633, 5093, 6899, 10619, 9395, 315, 2234, 13217, 8177, 13642, 4523, 5762, 9174, 3278, 9403, 3413, 5509, 3627, 1578, 4653, 6134, 8315, 5061, 4418, 5490, 9722, 7094, 5182, 4212, 10836, 13391, 8795, 8351, 10812, 2645, 376, 13573, 4326, 7518, 8701, 3872, 4921, 6613, 186, 5195, 13267, 7050, 749, 3095, 1981, 9909, 10331, 3577, 1247, 12450, 11341, 11332, 3403, 6095, 4144, 7902, 2004, 2412, 6689, 1651, 530, 12845, 12120, 1101, 2115, 8974, 2360, 1398, 12375, 9594, 5313, 3506, 9557, 8518, 3967, 4880, 5235, 5695, 402, 2001, 6015, 8471, 4833, 3243, 8044, 5882, 4463, 13096, 4364, 7078, 12133, 723, 572, 2845, 6861, 4731, 7067, 5977, 9398, 9739, 9983, 1525, 5261, 11240, 6888, 8549, 13706, 12057, 6148, 6430, 11708, 13640, 7849, 3222, 12501, 4302, 2857, 4346, 12560, 7018, 4445, 7864, 5275, 7032, 4333, 3759, 6469, 11638, 10692, 2400, 3541, 8365, 9808, 10198, 13578, 7358, 9041, 11888, 2564, 2332, 250, 12392, 396, 10229, 8807, 3876, 7413, 1351, 1095, 4079, 8498, 6942, 9755, 12215, 10146, 12451, 7955, 7517, 5798, 6346, 3854, 933, 10729, 3034, 10631, 11997, 9212, 5967, 4522, 3775, 1663, 8724, 13696, 12519, 2603, 12871, 6830, 3060, 8423, 3373, 7874, 10645, 12454, 12624, 7432, 1621, 3606, 1151, 6582, 4259, 7944, 10566, 2734, 3874, 12946, 6535, 2458, 13375, 6521, 6237, 677, 8703, 10415, 10271, 7675, 6479, 7702, 10209, 11687, 11319, 6735, 13025, 12552, 8046, 8408, 13552, 1480, 431, 8840, 7564, 2024, 13576, 3770, 9770, 2588, 5094, 743, 6756, 6344, 7793, 1546, 12542, 2717, 7862, 5073, 10150, 8717, 12714, 11632, 711, 8592, 4345, 2641, 4835, 3133, 2314, 11878, 6944, 8150, 8868, 6778, 11130, 3374, 5381, 1759, 4967, 10557, 740, 12935, 3697, 5934, 1314, 12020, 11511, 13052, 146, 12208, 4482, 5917, 9832, 5118, 3379, 8614, 13029, 12207, 5425, 13653, 3928, 5620, 12670, 7666, 11946, 6149, 278, 3798, 11569, 3744, 9952, 13558, 7163, 6913, 6051, 10953, 4276, 11058, 1085, 9928, 9638, 1261, 2859, 6063, 1618, 3625, 6351, 13537, 11094, 9967, 6103, 4708, 8169, 6229, 5487, 2428, 4360, 6527, 13834, 6567, 10523, 9420, 991, 13309, 12785, 5083, 2207, 7297, 11894, 11197, 8348, 6615, 2256, 10053, 3294, 7228, 12904, 9953, 10827, 9115, 5323, 10505, 10394, 4808, 8277, 1766, 3142, 8319, 12299, 7545, 6312, 10426, 11653, 6089, 887, 3318, 477, 8226, 6094, 773, 10201, 13781, 3881, 4031, 3814, 12270, 368, 13273, 7810, 10951, 10807, 10354, 3792, 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7926, 12162, 12113, 11893, 10345, 10284, 5178, 2014, 11465, 13089, 12312, 2278, 3274, 10290, 12218, 11089, 8955, 10667, 6168, 2638, 2596, 6853, 145, 10359, 10342, 10206, 10425, 10825, 9021, 4432, 2342, 8296, 1980, 9955, 9619, 8505, 12978, 2591, 2566, 10698, 10445, 8504, 9193, 13422, 6319, 2611, 13553, 9132, 6231, 10677, 6525, 10222, 3174, 5370, 2449, 2235, 5051, 13336, 2943, 4310, 6873, 8754, 12192, 235, 943, 5788, 9159, 11178, 10744, 8566, 8271, 4894, 3944, 4312, 5691, 11929, 8497, 11025, 13605, 9432, 10697, 11188, 13512, 5402, 4211, 11163, 4417, 8309, 2919, 12781, 286, 4804, 12305, 3998, 5958, 11051, 2111, 13484, 1231, 12844, 13021, 8293, 9444, 3112, 7928, 9243, 1318, 9672, 1366, 7229, 1936, 12368, 11605, 8124, 980, 7932, 6074, 10348, 3688, 53, 3238, 1008, 5763, 11690, 6641, 797, 254, 9891, 11278, 3707, 4594, 4698, 7231, 498, 626, 7234, 9905, 10477, 9549, 6280, 10048, 7181, 12173, 3240, 11318, 6559, 8909, 10034, 12141, 3598, 5297, 11190, 12012, 12431, 1039, 13030, 1110, 11355, 7750, 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10321, 4056, 10573, 8487, 1105, 7404, 12476, 6110, 13191, 127, 7772, 10899, 9529, 5159, 2263, 4575, 12828, 10249, 6916, 10743, 10306, 10405, 1041, 3001, 13261, 10003, 8419, 3716, 12289, 10462, 7494, 9368, 13815, 9322, 2457, 8913, 8267, 12817, 2577, 10372, 12074, 1222, 4892, 11008, 4928, 1896, 8874, 7850, 7253, 9104, 11628, 9343, 1405, 11897, 7596, 10795, 2870, 436, 12251, 7507, 13103, 622, 3671, 8763, 4501, 9292, 4198, 12314, 13650, 10694, 643, 405, 6983, 203, 4164, 5712, 5876, 9747, 10410, 13247, 7765, 9736, 11645, 2477, 8553, 3948, 13102, 13482, 5129, 12306, 8756, 8708, 2733, 4859, 11955, 2238, 888, 6444, 10474, 13019, 12414, 7634, 2365, 11092, 9190, 2296, 7626, 12625, 8745, 6592, 10839, 11518, 778, 9332, 3602, 10197, 6212, 6460, 7732, 5981, 5764, 5315, 5804, 12886, 7414, 6738, 10114, 7304, 2321, 10299, 4315, 11589, 965, 5026, 12293, 10369, 13799, 12401, 8785, 10399, 12341, 4734, 6960, 5059, 6118, 11346, 12455, 102, 6486, 7235, 12859, 10385, 1130, 13297, 1313, 2112, 12761, 7173, 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610, 2039, 9121, 2036, 1317, 839, 9990, 849, 1548, 3419, 3017, 7811, 9745, 3230, 10602, 4873, 9094, 3297, 11399, 5531, 12808, 915, 2468, 10922, 1407, 7755, 4901, 9504, 430, 4325, 2512, 4518, 6215, 13814, 7284, 1471, 7144, 8012, 362, 3825, 4113, 4225, 1179, 13532, 13409, 12236, 5614, 7457, 4560, 1411, 2254, 8027, 7403, 4422, 9179, 8213, 1116, 13675, 3200, 13711, 10237, 4250, 8998, 8216, 7830, 2543, 8935, 4980, 2800, 12553, 3143, 7134, 4858, 4083, 9806, 5240, 2969, 4902, 5342, 550, 2594, 3696, 9408, 3536, 1058, 280, 10287, 3427, 11277, 911, 12347, 11847, 3401, 8594, 7622, 5781, 880, 2029, 845, 8562, 2463, 11563, 7325, 13321, 10236, 194, 8311, 7038, 7981, 1495, 13684, 10186, 11883, 1492, 5564, 3574, 9740, 9934, 10785, 9919, 1873, 11560, 13806, 12397, 12244, 5936, 5013, 4065, 13112, 5901, 11622, 2432, 2686, 13308, 963, 6624, 6768, 343, 4049, 4213, 9560, 6764, 1938, 10816, 9140, 3535, 10456, 2008, 8095, 628, 4370, 8969, 9567, 12332, 6523, 9716, 11151, 6316, 7379, 8529, 9495, 9526, 13778, 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21849, 23412, 22048, 22905, 22051, 21816]}] \ No newline at end of file diff --git a/data_loaders/utterance_loader.py b/data_loaders/utterance_loader.py index 5a43578436f3fbee459a726a175e8bf568cc1ee3..d3f1f0867f75dff46f79ab1fc3b5c378ebf6f6ec 100644 --- a/data_loaders/utterance_loader.py +++ b/data_loaders/utterance_loader.py @@ -10,7 +10,7 @@ import numpy as np from tensorboardX import SummaryWriter from tqdm import tqdm -from convlab2.policy.vector.vector_multiwoz import MultiWozVector +from convlab2.policy.vector.vector_binary import VectorBinary from convlab2.dst.setsumbt.multiwoz.Tracker import SetSUMBTTracker PAD = '<pad>'