Hugging Face's logo

Datasets:
Shalyn
/
predictiveMaintanence

Modalities:
Text
Dataset card Data Studio Files
xet
Community
predictiveMaintanence / ytrain.csv
Shalyn's picture
Shalyn
Upload ytrain.csv with huggingface_hub
4012feb verified
raw
history blame contribute delete
31.3 kB
 Engine Condition
1
0
0
1
1
1
0
0
1
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
0
0
0
1
0
0
0
0
1
1
0
0
0
0
1
1
1
1
0
0
1
1
0
0
0
0
1
1
1
1
0
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
0
0
0
0
0
1
0
1
0
1
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
0
1
1
1
0
0
1
0
0
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
0
1
0
0
0
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
0
1
0
1
0
1
1
0
1
1
0
1
0
1
0
0
0
0
0
0
1
0
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
0
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
0
1
0
1
1
1
0
0
1
0
1
0
0
0
1
0
1
1
0
0
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
0
0
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
0
1
1
1
0
1
0
0
1
0
0
1
1
1
0
0
1
1
0
0
1
1
0
1
0
0
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
0
0
0
1
0
0
0
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
0
1
0
1
0
1
1
0
0
0
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
0
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
0
0
0
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
0
1
0
0
0
1
0
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
0
1
1
0
0
1
0
1
1
1
0
1
1
0
1
0
0
1
0
0
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
0
0
0
1
0
0
1
1
0
0
1
0
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
0
1
0
0
1
1
0
1
0
0
1
1
0
1
1
0
0
0
0
1
1
1
0
0
1
0
0
0
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
0
1
0
0
0
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
0
1
0
0
1
0
1
1
1
0
0
0
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
1
0
1
0
0
1
1
1
1
0
0
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
0
0
1
1
1
1
0
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
0
0
1
0
1
0
0
0
0
1
1
0
0
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
1
0
0
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
0
0
0
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
0
0
0
1
0
1
0
0
1
1
0
1
1
0
1
1
0
0
1
0
1
0
1
0
1
1
0
0
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
0
1
1
0
0
0
1
0
1
1
0
1
1
1
1
1
0
0
0
0
0
1
0
0
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
0
1
0
1
0
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
0
0
0
0
0
1
1
0
0
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
0
0
0
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
0
1
1
0
0
1
0
0
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
0
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
0
0
0
0
1
0
0
1
0
0
1
1
0
1
1
0
0
1
0
0
1
1
0
1
0
0
1
0
0
1
0
0
1
1
1
1
1
0
0
0
1
1
0
0
0
0
1
1
1
1
1
0
0
1
0
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
0
1
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
0
1
0
0
0
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
0
0
0
1
1
0
0
0
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
0
0
1
0
1
0
0
1
1
0
0
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
1
0
1
0
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
0
1
0
0
0
1
0
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
0
0
0
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
0
0
1
0
0
0
0
1
0
1
1
1
0
0
0
1
1
0
1
0
1
1
0
0
0
1
1
1
0
1
0
0
0
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
0
0
1
0
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
0
1
0
0
0
1
1
1
0
1
1
1
1
0
0
0
0
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
1
0
0
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
0
0
0
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
0
0
0
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
0
0
0
0
0
0
0
1
0
0
1
1
1
1
0
0
1
0
1
1
1
0
1
0
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
0
0
1
0
0
1
0
0
1
1
0
0
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
0
1
0
0
1
1
1
1
0
1
0
0
1
0
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
0
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
0
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
0
1
1
0
0
0
0
1
0
1
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
0
1
0
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
0
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
0
1
1
0
0
0
0
1
1
0
1
0
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
0
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
1
0
1
0
1
1
0
1
0
0
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
0
0
0
0
1
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
0
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
0
0
1
1
0
1
0
0
0
0
1
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
0
1
0
1
0
1
1
1
1
0
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
0
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
0
1
0
0
1
0
0
0
0
1
1
1
1
0
0
1
0
0
1
1
0
1
0
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
1
0
1
0
0
0
0
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
0
1
0
1
0
1
0
1
1
1
0
0
1
0
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
0
0
0
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
0
0
1
0
0
0
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
0
0
0
0
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
0
0
0
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
0
0
1
0
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
0
1
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
0
0
1
1
0
1
1
0
1
0
1
1
0
0
0
1
0
1
0
1
0
1
1
0
1
1
0
1
1
0
0
1
0
0
0
0
1
0
0
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
0
0
1
0
1
0
1
0
1
0
0
1
0
1
1
0
0
1
0
0
0
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
0
0
0
0
1
0
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
0
1
1
0
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
0
1
0
0
0
0
1
1
0
1
0
1
1
0
0
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
0
1
0
0
0
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
0
0
1
1
0
0
0
0
0
0
0
1
0
1
0
1
1
0
0
1
1
0
0
0
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
0
0
0
1
1
0
0
1
1
0
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
0
0
1
1
1
1
0
0
1
0
0
1
1
0
0
0
1
1
1
0
1
0
1
0
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
0
0
0
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
0
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
0
0
0
1
0
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
0
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
0
0
0
1
1
0
1
1
1
1
1
0
0
0
0
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
0
0
1
0
0
0
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
0
0
0
1
0
1
0
0
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
0
0
0
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
0
1
0
0
0
0
0
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
0
0
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
1
0
1
0
0
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
0
0
0
1
0
0
0
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
0
0
1
0
1
0
0
0
1
0
0
0
1
0
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
0
0
0
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
0
0
0
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
0
1
0
1
1
0
1
0
0
1
1
1
1
0
0
1
1
0
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
0
0
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
0
0
1
0
1
1
0
0
0
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
0
0
0
0
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
0
1
0
0
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
0
1
0
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
0
0
0
1
1
1
1
0
0
1
0
0
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
0
0
1
0
0
0
0
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
0
1
0
1
1
1
0
0
1
0
0
1
0
1
1
0
0
0
1
0
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
0
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
1
0
1
0
0
1
0
0
1
0
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
0
0
1
0
0
0
1
1
0
1
0
1
1
0
0
1
0
1
1
1
0
0
0
1
1
0
1
0
0
1
0
0
0
0
1
1
1
0
0
0
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
0
0
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
1
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
0
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
1
0
1
1
0
0
0
1
0
1
1
1
0
0
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
0
1
0
0
0
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
0
0
1
0
0
1
1
0
1
1
0
0
0
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
0
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
0
0
0
1
0
1
1
1
0
1
1
1
1
0
0
0
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
0
0
0
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
0
0
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
1
1
0
0
0
1
1
0
0
1
0
1
0
0
0
1
0
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
0
1
0
0
1
0
0
0
0
1
1
0
0
1
0
0
0
1
0
1
1
1
1
0
0
1
0
0
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
0
1
0
1
0
1
1
0
1
0
1
1
0
1
0
0
0
0
0
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
0
1
0
0
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
0
1
1
0
0
0
1
0
1
1
1
0
1
0
1
1
1
0
0
0
1
0
0
1
0
1
1
0
1
0
0
1
0
1
1
1
0
0
1
0
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
0
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
0
1
1
0
1
1
0
0
0
0
1
1
0
1
0
0
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
0
0
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
0
1
0
0
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
0
0
1
0
1
0
1
1
1
1
0
0
1
0
0
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
0
1
0
0
0
0
1
1
1
0
1
0
0
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
0
1
1
0
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
1
0
0
0
1
1
0
0
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
0
0
1
1
0
0
1
1
1
1
0
1
0
0
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
0
0
1
1
1
1
0
0
0
0
1
0
1
1
0
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
0
1
0
1
1
0
0
1
0
1
0
0
0
1
1
0
1
0
1
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
0
1
0
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
0
0
0
1
1
0
1
1
1
1
1
0
1
0
0
0
1
0
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
1
0
0
1
1
0
0
0
1
1
1
0
1
1
0
1
1
0
0
1
1
0
0
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
0
0
0
0
0
0
0
0
1
0
1
1
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
0
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
0
0
0
1
1
0
1
0
0
0
0
1
1
0
1
1
1
0
1
1
0
0
0
0
0
1
1
1
1
1
0
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
0
0
0
1
0
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
0
1
0
0
0
1
0
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
0
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
0
0
0
1
1
0
0
0
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
0
0
1
0
1
0
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
0
1
0
1
0
0
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
0
1
0
1
0
1
1
1
0
0
1
0
1
0
1
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
0
1
0
1
1
0
0
0
0
1
0
1
1
0
1
0
1
0
1
1
0
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
0
1
0
0
1
1
0
0
1
1
0
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
0
0
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
0
0
0
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
0
0
0
0
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
0
0
1
0
1
1
0
0
1
1
0
0
0
1
1
0
0
1
0
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
0
1
1
0
1
0
1
0
1
1
1
1
0
0
0
0
1
1
0
1
0
0
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
0
1
0
1
1
1
0
1
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
0
0
0
0
0
0
1
1
1
0
0
1
1
1
0
1
0
1
0
0
0
0
1
1
0
1
0
1
0
0
1
0
0
0
0
1
1
1
1
0
1
0
0
1
0
0
0
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
0
1
0
0
0
1
0
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
0
1
0
0
1
1
0
1
0
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
0
0
0
0
1
0
0
0
1
1
0
0
1
1
0
0
0
1
1
0
0
1
0
0
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
0
0
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
0
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
0
1
0
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
0
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
0
0
0
0
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
0
0
1
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
0
1
1
1
0
1
0
0
1
0
0
1
0
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
0
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
0
1
1
1
0
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
1
1
1
0
0
1
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
0
1
0
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
0
0
0
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
0
1
0
1
1
0
0
1
1
0
0
1
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
0
0
1
0
1
1
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
0
0
0
1
1
1
0
0
1
1
1
0
0
0
1
1
0
0
1
1
1
0
1
1
1
0
1
0
0
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
0
0
0
0
0
1
1
1
0
1
1
0
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
0
1
0
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
0
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
0
0
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
0
1
0
0
1
0
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
0
0
0
0
1
1
1
0
1
1
0
0
1
0
1
1
0
0
0
0
0
0
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
0
1
0
1
0
0
0
1
1
0
0
0
1
1
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
0
1
0
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
0
0
1
1
1
1
0
0
0
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
0
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
0
1
1
0
0
0
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
0
1
0
0
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
0
1
0
0
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
0
1
0
0
1
1
1
0
1
0
0
1
0
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
0
0
1
0
0
1
1
0
1
0
0
0
1
0
1
1
1
1
0
0
0
1
1
0
0
0
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
0
1
0
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
0
0
1
0
0
1
0
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
0
1
0
0
1
0
1
1
1
1
0
0
1
1
0
0
0
1
0
1
0
1
1
0
1
0
1
1
0
0
1
0
1
1
1
0
0
1
1
0
0
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
0
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
0
0
1
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
0
0
0
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
0
1
1
0
0
0
0
1
0
0
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
0
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
0
1
1
1
0
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
0
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
0
1
1
0
1
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
0
0
0
0
0
0
1
1
1
1
0
1
0
1
1
0
0
0
0
1
0
0
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
0
1
0
1
0
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
0
1
0
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
0
0
0
1
0
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
0
1
1
0
1
1
0
0
1
1
0
0
0
1
0
0
0
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
0
0
1