Hugging Face's logo

Datasets:
nbhoite9988
/
predictive-maintenance

Dataset card Data Studio Files
xet
 Community
predictive-maintenance / ytrain.csv
nbhoite9988's picture
nbhoite9988
Upload ytrain.csv with huggingface_hub
55a275b verified
Raw
History Blame Contribute Delete
31.3 kB
Engine Condition
1
0
1
1
1
0
0
0
1
0
1
1
0
0
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
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
1
0
1
0
0
0
0
1
1
1
0
0
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
1
1
0
0
1
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
0
0
0
1
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
0
0
1
0
0
0
1
0
1
0
1
0
1
0
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
0
1
0
0
0
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
1
1
0
0
0
0
0
1
0
1
0
1
0
1
1
1
0
0
0
1
1
0
0
1
0
1
1
0
0
0
0
1
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
0
1
0
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
0
0
1
0
0
1
1
1
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
0
0
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
1
0
0
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
0
0
1
0
1
1
0
0
0
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
0
0
0
0
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
0
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
0
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
1
0
0
0
1
0
1
1
0
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
0
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
0
0
0
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
0
1
0
1
1
1
0
0
0
0
1
0
1
1
0
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
0
0
1
0
0
1
1
0
1
1
0
0
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
1
0
0
1
0
0
0
0
1
1
1
0
0
0
0
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
0
0
1
0
1
0
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
0
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
0
1
1
1
1
0
1
0
1
0
0
0
1
0
1
1
1
1
1
0
0
1
0
0
1
1
0
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
0
1
1
1
1
1
0
1
1
0
1
0
1
0
0
1
0
1
1
1
0
0
1
1
0
0
0
1
0
0
1
1
1
0
0
1
0
0
1
1
1
0
0
1
1
1
0
0
1
0
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
0
1
1
0
1
1
1
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
0
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
0
0
0
0
0
1
1
1
0
0
1
0
1
1
1
0
0
0
0
0
0
1
1
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
0
1
0
1
0
0
1
1
1
0
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
0
1
0
1
0
0
1
1
0
1
0
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
0
0
1
1
0
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
0
0
0
1
1
1
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
1
0
0
1
0
0
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
0
0
0
1
1
0
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
0
1
0
0
1
1
1
1
0
0
1
0
1
1
0
1
0
1
0
1
0
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
0
1
0
0
0
1
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
0
0
0
0
0
0
1
0
1
1
1
0
0
1
1
1
0
1
0
1
0
1
0
1
0
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
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
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
0
0
0
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
0
1
0
1
0
0
1
1
0
0
0
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
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
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
0
0
0
0
0
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
0
0
1
0
0
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
0
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
0
0
1
0
0
1
1
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
0
0
1
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
1
0
0
1
1
1
1
1
0
0
1
0
0
0
1
0
1
0
0
0
0
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
0
0
1
1
0
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
0
1
0
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
0
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
1
0
1
0
1
0
0
1
0
1
0
0
1
0
1
1
1
1
0
0
0
1
0
0
1
1
0
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
0
1
0
1
0
0
0
1
0
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
0
1
0
0
0
1
1
1
1
1
0
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
1
0
0
1
1
0
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
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
0
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
0
0
1
0
1
0
1
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
0
0
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
0
0
0
1
0
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
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
1
0
0
0
0
1
0
1
0
0
0
1
1
1
0
1
1
1
0
0
0
1
0
1
1
0
1
0
1
0
1
1
0
1
0
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
1
0
0
1
0
1
1
0
1
0
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
0
1
0
0
1
0
1
1
1
1
0
0
0
0
0
1
1
0
0
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
1
0
1
0
0
0
0
0
0
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
0
0
1
1
0
0
1
0
1
0
1
0
0
0
1
0
1
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
0
0
0
1
1
0
1
0
0
0
1
0
0
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
0
1
0
0
1
0
0
1
1
0
0
1
1
0
1
0
0
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
0
0
1
0
0
1
1
1
1
0
0
0
0
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
0
0
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
0
1
1
1
0
0
1
1
0
0
0
0
1
1
0
1
0
0
1
1
0
0
1
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
0
0
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
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
1
1
0
1
1
1
0
1
0
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
0
1
0
1
1
0
0
1
0
0
0
1
1
0
1
1
1
0
0
1
0
1
1
0
1
0
1
1
0
1
1
0
0
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
0
1
0
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
0
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
1
0
0
0
0
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
0
1
0
1
0
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
0
0
1
1
0
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
0
0
1
1
0
0
0
1
1
0
1
1
1
1
0
0
0
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
0
0
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
0
0
1
0
0
0
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
0
1
0
0
0
0
0
1
0
1
1
0
1
1
0
0
0
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
0
0
1
1
0
1
1
0
1
0
1
0
0
1
1
1
0
1
0
1
0
0
0
0
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
0
1
1
0
0
0
0
1
1
0
1
1
1
1
0
0
0
1
0
1
1
0
1
0
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
0
1
1
0
0
1
1
1
0
0
1
1
1
0
1
1
0
0
0
1
0
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
0
0
0
1
0
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
0
0
0
1
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
0
0
1
0
0
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
0
0
1
0
0
1
1
0
0
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
1
0
1
0
0
0
1
0
0
0
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
0
1
1
0
0
1
1
0
0
0
0
1
1
0
0
0
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
0
0
1
1
0
0
1
1
1
1
1
1
0
0
0
0
1
0
1
0
1
1
0
1
1
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
0
1
0
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
0
0
1
1
0
0
1
0
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
0
1
0
1
0
0
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
0
0
0
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
0
0
1
1
0
0
0
1
1
1
1
1
0
1
0
1
0
0
0
0
1
0
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
1
0
0
0
1
1
0
0
1
0
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
0
1
0
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
0
1
0
1
0
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
0
1
0
0
0
0
0
1
1
1
0
1
0
0
1
0
0
1
0
1
1
0
1
1
1
0
0
1
1
0
0
1
1
1
0
0
0
0
1
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
0
0
0
0
1
0
1
0
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
0
0
1
1
0
1
0
1
1
0
0
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
0
0
0
1
0
0
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
0
0
1
0
1
1
0
0
0
0
1
0
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
0
0
1
0
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
0
1
0
0
1
1
1
1
1
0
0
0
0
1
0
1
0
0
0
1
1
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
0
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
0
0
0
1
0
0
1
0
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
0
0
0
1
0
1
0
0
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
0
1
1
0
0
0
1
0
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
1
0
1
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
0
0
0
0
0
1
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
0
0
0
0
1
0
1
1
0
1
0
0
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
0
0
0
1
1
1
1
0
0
0
0
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
0
0
0
0
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
0
0
0
1
0
0
1
0
0
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
0
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
0
1
0
1
0
1
0
0
1
1
1
0
0
0
1
1
0
1
1
1
0
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
0
0
0
0
1
1
0
1
1
0
0
0
0
0
1
1
1
0
0
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
1
0
0
0
1
1
0
1
0
1
1
0
0
1
0
1
0
1
0
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
0
0
1
1
0
0
1
0
1
0
0
1
1
1
0
1
0
1
0
1
1
0
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
0
1
1
0
1
1
0
0
0
0
1
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
0
0
0
1
1
1
0
0
1
1
0
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
0
0
1
0
0
1
0
0
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
0
1
0
0
0
0
0
1
0
1
1
0
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
0
1
0
0
1
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
0
0
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
0
1
1
0
1
0
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
0
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
1
1
1
1
0
1
1
0
0
0
0
1
1
0
1
1
1
0
0
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
0
0
1
1
1
0
1
1
1
0
0
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
0
0
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
0
0
1
1
0
0
0
1
0
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
0
1
0
1
1
1
1
0
0
1
0
0
0
1
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
0
0
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
0
1
0
0
1
1
1
0
1
0
1
1
0
0
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
0
0
0
1
0
1
0
0
1
1
0
1
1
0
0
0
1
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
0
1
0
0
0
1
0
0
0
1
1
0
1
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
0
0
1
0
1
0
1
0
0
0
0
1
1
0
1
1
1
0
0
0
1
1
0
0
1
1
0
0
1
1
1
1
0
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
0
0
0
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
1
0
0
1
1
1
0
0
1
1
1
1
0
1
0
1
0
0
0
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
0
0
1
0
0
1
0
0
1
0
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
0
0
1
1
0
0
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
0
0
0
0
0
0
0
1
0
0
1
1
0
1
1
0
0
0
0
1
1
0
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
0
1
0
0
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
0
0
0
1
0
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
0
1
0
0
0
1
1
1
0
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
0
0
1
1
0
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
0
0
1
0
1
0
0
0
1
1
0
1
1
0
0
1
0
0
1
1
0
0
0
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
0
0
0
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
0
0
0
1
0
1
0
1
0
0
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
0
0
0
1
0
1
0
1
0
0
0
1
0
0
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
0
0
0
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
0
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
0
1
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
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
0
0
1
1
0
1
0
0
1
0
1
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
0
0
1
1
0
0
0
0
1
0
0
0
1
1
1
0
1
0
1
0
1
0
1
1
0
0
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
0
0
1
0
1
0
0
1
0
1
1
1
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
0
0
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
0
1
0
0
1
0
1
0
1
1
0
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
0
0
1
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
0
0
1
0
0
1
1
1
0
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
0
0
0
1
0
0
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
0
0
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
0
1
0
1
0
1
0
0
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
0
0
0
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
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
0
0
1
0
1
0
1
0
0
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
0
0
0
0
1
1
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
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
0
0
0
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
0
0
0
0
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
0
0
1
1
1
1
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
0
1
0
1
0
0
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
0
0
0
0
0
1
1
1
0
1
0
1
1
0
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
0
0
1
0
0
1
0
0
1
1
0
0
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
0
0
0
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
0
1
0
1
0
1
1
0
1
1
0
0
0
1
1
1
0
1
1
0
0
0
1
0
1
0
1
0
1
0
1
0
0
1
1
1
0
1
0
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
0
1
0
0
0
1
0
1
1
0
1
1
1
0
1
0
0
1
0
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
0
0
1
0
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
0
0
0
1
1
1
0
1
0
1
0
0
0
0
0
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
0
0
0
0
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
0
1
0
0
1
1
0
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
1
0
0
0
1
1
0
0
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
0
1
0
0
1
0
0
1
0
1
0
1
1
1
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
0
0
1
0
1
0
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
0
0
1
0
0
0
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
0
1
0
1
0
0
0
1
1
0
0
0
0
0
1
1
1
0
1
1
1
0
0
1
0
1
1
0
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
0
1
0
0
1
1
1
0
1
0
0
0
1
1
1
1
0
1
1
0
1
1
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
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
0
1
0
0
1
1
1
0
1
0
0
0
0
0
1
0
0
1
1
1
1
0
0
0
0
0
1
1
1
0
1
1
0
0
0
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
0
1
0
1
1
1
1
1
0
0
1
0
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
0
0
1
0
0
1
0
1
0
1
0
1
1
0
0
1
1
0
0
0
0
1
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
0
1
0
0
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
0
0
0
0
1
1
1
1
0
0
1
0
1
0
1
0
1
1
0
0
1
0
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
0
1
0
1
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
0
0
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
1
1
1
0
0
1
0
1
0
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
0
0
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
0
1
0
0
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
0
1
0
1
1
1
0
0
1
1
0
1
0
0
0
1
1
0
0
0
0
0
1
0
0
1
0
1
1
0
0
0
1
1
1
0
0
1
0
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
0
1
0
0
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
0
0
1
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
0
0
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
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
0
1
0
0
1
0
1
1
0
0
1
0
0
1
1
1
0
1
0
1
0
1
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
0
0
1
0
0
1
0
1
0
0
1
0
0
0
1
1
0
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
0
0
0
1
0
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
0
1
0
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
0
1
0
0
1
0
1
0
0
1
1
1
1
0
1
0
0
1
0
0
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
0
0
0
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
0
0
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1