This is page 1 of 2. Use http://codebase.md/tmlr-group/CausalCOAT?lines=false&page={x} to view the full context.
# Directory Structure
```
├── .DS_Store
├── AppleGastronome
│ ├── .DS_Store
│ ├── Apple_Gastronome_AG7_v20240513_colab_annoation_2024_05_16_1422_hk_Mixtral_GPT-3.5-Turbo_iter1.xlsx
│ ├── Apple_Gastronome_AG7_v20240513_colab_annoation_2024_05_16_1422_hk_Mixtral_GPT-3.5-Turbo_iter2.xlsx
│ ├── Apple_Gastronome_AG7_v20240513_colab_annoation_2024_05_16_1422_hk_Mixtral_GPT-3.5-Turbo_iter3.xlsx
│ ├── Apple_Gastronome_AG7_v20240513.ipynb
│ ├── Apple_Gastronome_AG7_v20240513.xlsx
│ └── Formal_exp_1 AG7_2024_05_16_1422 GPT-3.5-Turbo release.ipynb
├── assets
│ ├── coat_map.pdf
│ └── paper.pdf
├── coat_real_world_case
│ ├── brain_tumor.png
│ └── news_n_stock.png
├── lingam_coat_result
│ ├── lingam coat gpt3-5.png
│ ├── lingam coat gpt4.png
│ ├── lingam coat llama-2-70b.png
│ ├── lingam coat mistral-med.png
│ └── lingam_coat_table.xlsx
├── Neuropathic
│ ├── Formal_exp_1_Neuro_RSI symptom_only release.ipynb
│ ├── id_name.txt
│ ├── neuro_addition_1000_0126.csv
│ ├── neuro_R_shoulder_impingement.xlsx
│ ├── Neuropathic_Pain_Diagnosis_v20240119.ipynb
│ └── SimulatedData_SampleSize100.csv
├── openai_utils.py
├── README.md
└── utils.py
```
# Files
--------------------------------------------------------------------------------
/README.md:
--------------------------------------------------------------------------------
```markdown
<h1 align='center'>
Discovery of the Hidden World with Large Language Models
</h1>
<p align='center'>
<a href="https://arxiv.org/abs/2402.03941"><img src="https://img.shields.io/badge/arXiv-2402.03941-b31b1b.svg" alt="Paper"></a>
<a href="https://neurips.cc/"><img src="https://img.shields.io/badge/Pub-NeurIPS'24-blue" alt="Conf"></a>
<a href="https://causalcoat.github.io/"><img src="https://img.shields.io/badge/website-CausalCOAT-D76364" alt="Slides"></a>
</p>
[NeurIPS 2024] Discovery of the Hidden World with Large Language Models
This repository contains the source codes for reproducing the results of NeurIPS'24 paper: [**Discovery of the Hidden World with Large Language Models**]().
**Author List**: Chenxi Liu*, Yongqiang Chen*, Tongliang Liu, Mingming Gong, James Cheng, Bo Han, Kun Zhang
(* Equal Contribution)
## Prepare to Use API
### Interact with OpenAI
1. Go through [the OpenAI Quickstart Tutorial](https://platform.openai.com/docs/quickstart?context=python)
2. In this project, we `LLM_openai()` to contorl the interaction with OpenAI
```python
import sys
sys.path.insert(0, '/project/root/path') # set project root path
from utils import Logger
from openai_utils import LLM_openai
# check the conversation log at 'logs/{exp_name}'
logger = Logger(
root = '/project/root/path',
exp_name = 'set_exp_name'
)
llm = LLM_openai(logger)
response = llm.chat(
model="gpt-4-1106-preview",
content= "Hello GPT4!",
system_instruct = "You are a helpful assistant."
)
```
### Interact with Poe
1. Go through [the Poe FastAPI Tutorial](https://creator.poe.com/docs/accessing-other-bots-on-poe)
2. In this project, we `chat()` to contorl the interaction with Poe
```python
import fastapi_poe as fp
import asyncio
async def chat(content, bot_name="GPT-3.5-Turbo" ):
poe_api_key = "your api key" # set your api key
message = fp.ProtocolMessage(role="user", content=content)
responce = ""
async for partial in fp.get_bot_response(messages=[message], bot_name=bot_name, api_key=poe_api_key):
responce = responce + partial.text
return responce
response = await chat("Hello world!", bot_name="GPT-3.5-Turbo" )
```
## The AppleGastronome Benchmark
### Files
- **Apple_Gastronome_AG7_v20240513.ipynb** This is the notebook to generate the AppleGastronome Benchmark dataset. "AG7" means there are 7 variables considered in the data-generating process.
- **Apple_Gastronome_AG7_v20240513.xlsx** This is the generated AppleGastronome Benchmark dataset. It consists of 8 columns: 7 variables plus one column for the review texts.
- **Formal_exp_1 AG7_2024_05_16_1422 GPT-3.5-Turbo release.ipynb** This is the notebook to test COAT method with different Foundation Models.
- **Other .xlsx files** Annotations generated by [annotation-2024_05_16_1422_hk_mistralai_GPT-3.5-Turbo release.ipynb](https://colab.research.google.com/drive/1GHUIk631UzD-lI49H_0eTJc9YKJ2lwxe?usp=sharing)
Conversation Logs:
- **META**: https://poe.com/s/Suv0XqninMg9nQTGFEiy
- **COAT+CoT**: https://poe.com/s/x1tha9wV6opPydhym2sQ
- **DATA**: First round of COAT.
- **COAT**: https://poe.com/s/tYvcQuIyRB54wVpyUZyx
## The Neuropathic Benchmark
Source of the causal graph: [here](https://observablehq.com/@turuibo/the-complete-causal-graph-of-neuropathic-pain-diagnosis)
### Files
- **SimulatedData_SampleSize100.csv** and **neuro_addition_1000_0126.csv** Generated from [Neuropathic Pain Diagnosis Simulator](https://github.com/TURuibo/Neuropathic-Pain-Diagnosis-Simulator). Simulation of the real-life diagnosis with three levels of variables, including the symptom-level, radiculopathy-level and the pathophysiology-level.
- **id_name.txt** From [Neuropathic Pain Diagnosis Simulator](https://github.com/TURuibo/Neuropathic-Pain-Diagnosis-Simulator). It stores variable names.
- **Neuropathic_Pain_Diagnosis_v20240119.ipynb** This is the notebook to generate clinical notes from tabular data *SimulatedData_SampleSize100.csv*. *Only symptom-level vairables are used.*
- **neuro_R_shoulder_impingement.xlsx** This is the generated clinical notes.
- **Formal_exp_1_Neuro_RSI symptom_only release.ipynb** This is the notebook to test COAT method with different Foundation Models.
```
--------------------------------------------------------------------------------
/utils.py:
--------------------------------------------------------------------------------
```python
import os
class Logger():
def __init__(self, root, exp_name):
# Set path
self.log_root_path = os.path.join(root, f'logs/{exp_name}')
self.category = ['conversation', 'factors', 'causal_graph']
# init log files
if not os.path.exists(self.log_root_path):
os.makedirs(self.log_root_path)
def straight_write(self, cate, content, mode='a'):
assert cate in self.category
with open(os.path.join(self.log_root_path, cate+'.log'), mode) as file:
file.write('\n'+content+'\n')
def get_value_from_responce(responce):
if responce is None:
return 'None'
if 'he value is:' not in responce:
return '?'
last_part = responce.split('The value is:')[-1]
if '-1' in last_part:
return -1
elif '0' in last_part:
return 0
elif '1' in last_part:
return 1
```
--------------------------------------------------------------------------------
/openai_utils.py:
--------------------------------------------------------------------------------
```python
from openai import OpenAI
import os
import time
class LLM_openai():
def __init__(self, logger):
self.client = OpenAI()
self.logger = logger
self.thread_id = None
def log(self, content):
self.logger.straight_write('conversation', content, mode='a')
def load_assistant(self, asst_id):
self.asst_id = asst_id
self.assistant = self.client.beta.assistants.retrieve(asst_id)
self.log(f'>> Loaded OpenAI assistant {self.asst_id}')
def delete_thread(self):
if self.thread_id is None:
return
response = self.client.beta.threads.delete(self.thread_id)
assert response.deleted
self.thread_id = None
def chat(self, content, system_instruct = None, model="gpt-4-1106-preview", **kwargs):
'''
Output:
- run_result
- responce
- files
'''
# init
self.delete_thread()
if system_instruct is None:
system_instruct = 'You are an excellently helpful AI assistant for analysis and abstraction on data.'
# chat
completions = self.client.chat.completions.create(
model=model,
messages=[
{"role": "system", "content": system_instruct},
{"role": "user", "content": content}
],
**kwargs
)
print(completions.id)
self.log( ('-' * 5) + f'{completions.id}' + ('-' * 10))
self.log('User: \n' + content)
# get responce
responce = completions.choices[0].message.content
self.log('ChatGPT: \n' + responce)
return responce
def chat_assistant(self, content, args, file_ids = []):
'''
Output:
- run_result
- responce
- files
'''
# init
self.delete_thread()
sleep_gap = args['sleep gap']
max_wait = args['max wait']
# new thread
thread = self.client.beta.threads.create(
messages=[
{
"role": "user",
"content": content,
"file_ids": file_ids
}
]
)
print(thread.id)
self.thread_id = thread.id
self.log( ('-' * 5) + f'{self.thread_id}' + ('-' * 10))
self.log('User: \n' + content)
# run
run_result = None
run = self.client.beta.threads.runs.create(
thread_id=thread.id,
assistant_id=self.assistant.id
)
print(run.id)
for i in range(max_wait//sleep_gap+1):
run = self.client.beta.threads.runs.retrieve(
thread_id=thread.id,
run_id=run.id
)
print(i * sleep_gap, run.status)
if not (run.status in ['in_progress', 'queued']):
print(run.status)
run_result = run.status # == 'completed'
break
if i >= max_wait//sleep_gap:
run = self.client.beta.threads.runs.cancel(
thread_id=thread.id,
run_id=run.id
)
run_result = 'time out'
break
time.sleep(sleep_gap)
if run_result != 'completed':
return run_result, None, None
# get responce
messages = self.client.beta.threads.messages.list(
thread_id=thread.id
)
num_responce = len(messages.data)
responces = []
files = []
for i in range(num_responce-2, -1, -1):
this_responce = messages.data[i].content[0].text.value
responces.append(this_responce)
for annotation in messages.data[i].content[0].text.annotations:
if hasattr(annotation, 'file_path'):
this_file_id = annotation.file_path.file_id
this_file_content = self.client.files.content(this_file_id).read().decode("utf-8")
files.append(this_file_content)
self.log('ChatGPT: \n' + '\n'.join(responces))
if len(files) > 0:
self.log('\n'.join(files))
return run_result, responces, files
```
--------------------------------------------------------------------------------
/Neuropathic/id_name.txt:
--------------------------------------------------------------------------------
```
0: DLI C1-C2
1: DLI C2-C3
2: DLI C3-C4
3: DLI C4-C5
4: DLI C5-C6
5: DLI C6-C7
6: DLI C7-C8
7: DLI C8-T1
8: DLI L1-L2
9: DLI L2-L3
10: DLI L3-L4
11: DLI L4-L5
12: DLI L5-S1
13: DLI S1-S2
14: DLI T1-T2
15: DLI T10-T11
16: DLI T11-T12
17: DLI T12-L1
18: DLI T2-T3
19: DLI T3-T4
20: DLI T4-T5
21: DLI T5-T6
22: DLI T6-T7
23: DLI T7-T8
24: DLI T8-T9
25: DLI T9-T10
26: Kraniocervikal ledskada
27: L C2 Radiculopathy
28: R C2 Radiculopathy
29: L C3 Radiculopathy
30: R C3 Radiculopathy
31: L C4 Radiculopathy
32: R C4 Radiculopathy
33: L C5 Radiculopathy
34: R C5 Radiculopathy
35: L C6 Radiculopathy
36: R C6 Radiculopathy
37: L C7 Radiculopathy
38: R C7 Radiculopathy
39: L C8 Radiculopathy
40: R C8 Radiculopathy
41: L T1 Radiculopathy
42: R T1 Radiculopathy
43: L T2 Radiculopathy
44: R T2 Radiculopathy
45: L T3 Radiculopathy
46: R T3 Radiculopathy
47: L T4 Radiculopathy
48: R T4 Radiculopathy
49: L T5 Radiculopathy
50: R T5 Radiculopathy
51: L T6 Radiculopathy
52: R T6 Radiculopathy
53: L T7 Radiculopathy
54: R T7 Radiculopathy
55: L T8 Radiculopathy
56: R T8 Radiculopathy
57: L T9 Radiculopathy
58: R T9 Radiculopathy
59: L T10 Radiculopathy
60: R T10 Radiculopathy
61: L T11 Radiculopathy
62: R T11 Radiculopathy
63: L T12 Radiculopathy
64: R T12 Radiculopathy
65: L L1 Radiculopathy
66: R L1 Radiculopathy
67: L L2 Radiculopathy
68: R L2 Radiculopathy
69: L L3 Radiculopathy
70: R L3 Radiculopathy
71: L L4 Radiculopathy
72: R L4 Radiculopathy
73: L L5 Radiculopathy
74: R L5 Radiculopathy
75: L S1 Radiculopathy
76: R S1 Radiculopathy
77: L S2 Radiculopathy
78: R S2 Radiculopathy
79: Ibs
80: L neck problems
81: Neck pain
82: R neck
83: L tinnitus
84: L eye problems
85: L ear problems
86: R tinnitus
87: R eye problems
88: R ear problems
89: Headache
90: L jaw problems
91: L forehead headache
92: Mouth
93: Forehead headache
94: R headache
95: R pta
96: Pharyngeal discomfort
97: R jaw trouble
98: Back headache
99: R back headache pain
100: L collarbone pain
101: R collarbone problems
102: Central chest pain
103: L central chest pain
104: L central chest disorders
105: R front axle problems
106: L shoulder impingement
107: R shoulder impingement
108: L shoulder problems
109: L shoulder trouble
110: R shoulder problems
111: R shoulder trouble
112: L upper arm discomfort
113: L upper elbow pain
114: Intracapular problems
115: L interscapular complaints
116: R intracapular trouble
117: L lateral elbow pain
118: L lateral arm discomfort
119: R lateral elbow pain
120: L elbow problems
121: R elbow trouble
122: L arm
123: L thumbs up
124: R thumbs up
125: L wrist problems
126: R wrist problems
127: L lower arm disorders
128: R lower arm disorders
129: L hand problems
130: R hand problems
131: L bend of arm problems
132: R armband
133: R bend of arm discomfort
134: L medial elbow problems
135: R medial elbow problems
136: L finger trouble
137: R finger trouble
138: L small finger trouble
139: R little finger trouble
140: L groin trouble
141: L medial groin disorders
142: L lateral groin discomfort
143: Central groin disorders
144: R lateral groin discomfort
145: R groin trouble
146: L adductor tendon
147: R adductor tendonitis
148: L hip disorders
149: L backache
150: Backache
151: L lumbago
152: Lumbago
153: R lumbago
154: L front thigh pain
155: R front thigh pain
156: R thigh problems
157: L leg problems
158: L thigh pain
159: R leg problems
160: R medial vadbesvär
161: L pta
162: L hip joint
163: R hip trouble
164: R hip arthritis
165: L medial knee joint disorder
166: L front knee pain
167: R medial knee joint disorder
168: R front knee pain
169: L shin
170: R shin
171: L llower leg problems
172: L knee trouble
173: R knee trouble
174: L tåledbesvär
175: L big toe problems
176: R big toe problems
177: L foot pain
178: L ankle trouble
179: R ankle trouble
180: L footstool trouble
181: R arch
182: R morton trouble
183: R fainting
184: L ischias
185: R ischias
186: L ham
187: L obesity
188: R ham
189: L toe problems
190: R foot pain
191: R tear problems
192: R obesity
193: R dorsal knee joint disorder
194: L dorsal knee joint disorder
195: L lateral knee pain
196: R lateral knee pain
197: L small toe trouble
198: L lateral foot disorders
199: R lateral foot disorders
200: R heel problems
201: Calcaneal pain
202: L heel problems
203: Coccydyni
204: L rear thigh pain
205: R rear thigh pain
206: L achilles problems
207: L achilles tendon
208: L achillodyni
209: R achilles problems
210: R achilles tendency
211: R achillodyni
212: Breast backache
213: Chest discomfort
214: L breast problems
215: R breast problems
216: Toracal dysfunction
217: Upper abdominal discomfort
218: Lateral abdominal discomfort
219: Abdominal discomfort
220: L lower abdominal discomfort
221: Lower abdominal discomfort
```
--------------------------------------------------------------------------------
/Neuropathic/SimulatedData_SampleSize100.csv:
--------------------------------------------------------------------------------
```
,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221
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2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
8,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
9,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
10,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
11,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
12,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
13,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
14,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
16,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
17,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
18,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
19,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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