Hugging Face's logo

Datasets:
shashidj
/
Predictive-Maintenance

Dataset card Data Studio Files
xet
 Community
Predictive-Maintenance / y_train.csv
shashidj's picture
shashidj
Upload y_train.csv with huggingface_hub
9560cc4 verified
Raw
History Blame Contribute Delete
31.3 kB
Engine Condition
0
1
0
1
1
1
1
0
0
1
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
0
1
0
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
0
1
0
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
0
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
0
0
0
1
0
0
1
1
1
0
1
0
0
0
0
0
0
0
1
1
1
1
0
0
1
0
0
0
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
0
0
0
1
1
0
0
1
1
0
0
0
1
1
1
0
0
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
0
0
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
0
0
0
0
1
0
0
1
0
0
1
1
0
0
1
0
1
0
1
0
1
1
0
0
1
0
1
0
1
1
0
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
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
1
0
1
0
0
0
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
0
0
0
0
1
1
0
0
0
0
0
1
1
1
1
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
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
0
1
0
0
1
0
0
1
1
1
0
1
0
1
0
0
1
0
0
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
0
0
1
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
0
1
0
0
1
0
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
1
0
0
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
0
0
0
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
0
0
0
1
0
1
0
0
1
0
1
1
0
0
1
0
0
0
1
1
0
1
1
0
0
0
1
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
0
1
0
0
1
0
1
0
1
1
1
0
0
1
1
0
1
0
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
0
0
1
1
0
0
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
0
1
0
0
0
1
1
0
0
1
0
0
1
1
0
1
1
1
0
0
1
1
0
1
0
0
1
1
0
0
0
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
0
1
1
0
0
1
0
0
0
0
1
1
0
0
1
1
0
1
0
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
0
0
1
0
0
0
1
1
0
0
0
1
1
0
0
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
0
0
0
1
0
0
1
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
0
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
0
0
0
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
0
0
0
0
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
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
0
0
1
1
0
0
0
1
1
1
1
0
0
1
0
1
1
0
0
1
1
0
1
1
0
1
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
0
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
0
0
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
0
1
0
0
1
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
0
1
1
1
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
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
0
0
0
0
1
0
1
0
1
1
0
1
0
1
0
0
1
0
0
1
1
1
1
1
0
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
0
0
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
0
1
0
1
0
1
1
0
0
1
0
1
1
1
1
0
0
1
1
0
0
0
1
1
0
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
0
0
0
1
1
0
1
1
1
1
0
0
1
1
0
0
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
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
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
0
0
0
1
0
0
0
0
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
0
0
1
1
1
1
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
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
0
0
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
1
0
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
0
0
0
0
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
0
1
0
0
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
0
0
1
0
0
0
1
1
0
1
0
1
1
0
0
0
1
0
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
1
0
1
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
0
0
1
1
1
0
0
1
0
0
0
0
0
0
1
1
0
1
0
0
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
1
0
1
1
1
1
0
1
0
0
0
1
1
0
0
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
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
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
0
1
0
1
0
0
1
0
1
0
1
1
1
1
0
1
0
0
0
0
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
0
1
0
0
0
0
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
0
0
1
1
0
1
0
0
1
0
1
0
0
1
1
0
1
0
0
1
1
1
0
1
0
1
1
0
0
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
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
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
0
0
1
0
0
0
1
1
0
1
1
1
1
1
0
0
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
1
0
1
0
1
0
1
1
0
0
1
1
1
0
1
0
0
0
1
0
1
1
1
1
0
0
1
1
0
0
0
0
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
0
0
0
1
0
1
1
1
1
0
1
0
0
0
0
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
0
0
1
1
0
0
1
0
1
1
1
0
0
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
0
1
1
0
0
0
1
1
1
1
0
0
0
1
0
0
0
0
0
1
1
1
0
0
1
0
1
0
0
0
1
0
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
1
0
1
0
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
0
1
0
1
0
0
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
0
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
0
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
1
0
1
1
1
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
0
0
0
0
1
0
1
1
0
0
0
0
0
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
0
0
0
0
0
1
1
0
0
0
1
1
1
1
0
1
0
0
1
0
1
1
0
0
0
1
1
1
1
0
0
0
1
0
0
1
0
1
0
1
0
0
1
0
0
1
1
0
1
1
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
0
1
1
1
0
1
0
1
0
0
0
1
1
0
0
0
1
1
0
1
0
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
0
1
1
0
1
1
1
1
0
0
1
0
0
0
0
1
0
1
0
1
0
1
1
0
1
1
1
1
0
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
1
1
0
1
0
1
0
0
0
0
0
1
1
1
0
0
0
1
0
0
1
0
1
0
0
1
1
0
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
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
0
0
1
1
1
1
0
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
0
1
1
0
0
0
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
0
1
1
1
0
0
1
0
0
1
0
1
1
1
1
1
0
1
1
0
0
0
1
0
1
0
1
1
1
1
0
0
1
0
0
1
0
1
0
1
0
0
0
0
1
1
0
0
0
1
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
0
1
0
0
1
1
0
0
0
0
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
0
0
1
0
1
0
0
1
1
0
1
1
0
1
0
0
1
0
1
1
0
1
0
1
1
0
0
1
1
0
1
0
1
1
1
0
1
0
1
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
0
0
0
1
0
0
1
1
0
0
1
1
1
1
0
0
0
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
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
0
0
1
1
1
1
0
0
1
0
1
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
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
0
0
0
0
0
0
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
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
1
0
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
0
1
1
1
0
0
0
1
0
1
0
1
1
0
0
0
1
1
0
1
1
0
0
0
0
1
0
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
0
0
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
0
1
0
1
0
0
0
1
1
0
0
0
0
1
0
0
1
1
0
0
1
0
1
0
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
0
0
0
1
0
0
0
0
1
1
1
0
1
0
1
1
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
0
1
0
0
1
0
1
1
0
0
0
1
1
1
0
1
1
0
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
0
0
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
0
0
0
0
1
0
1
0
1
0
1
1
0
0
1
0
0
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
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
1
1
0
0
0
1
1
1
0
0
0
1
0
0
1
1
1
0
1
1
1
0
0
0
1
0
0
0
1
1
0
1
1
0
0
1
0
0
1
0
0
0
0
1
1
1
0
1
1
0
0
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
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
1
0
1
0
1
1
0
1
0
0
1
0
1
0
1
0
0
0
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
0
0
1
0
0
0
0
1
1
0
1
1
1
1
0
0
0
0
0
0
0
1
0
0
0
1
1
0
1
1
0
0
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
0
0
0
0
1
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
1
1
1
1
0
0
1
0
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
0
0
0
0
0
1
0
0
1
1
0
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
0
0
0
1
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
0
0
0
0
0
1
0
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
0
0
1
0
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
1
1
0
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
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
0
1
1
0
1
0
0
0
0
0
1
1
1
0
1
1
1
1
1
0
0
0
1
0
0
1
0
1
1
1
0
0
1
1
0
1
0
1
1
1
0
0
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
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
0
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
0
1
0
1
0
0
0
0
0
0
1
1
1
0
1
0
0
0
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
0
0
1
1
1
0
0
0
1
1
0
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
0
0
1
0
0
0
0
1
1
0
0
1
1
1
1
0
1
0
1
0
0
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
0
1
0
1
0
1
0
0
0
1
1
1
1
1
0
0
1
0
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
0
1
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
0
0
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
0
1
0
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
0
1
1
0
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
0
1
0
1
1
0
0
0
1
0
0
1
1
1
0
0
0
0
1
1
1
1
0
0
0
0
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
0
0
1
1
0
1
0
0
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
0
1
0
0
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
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
0
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
0
1
0
0
0
1
1
0
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
0
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
0
1
1
0
0
1
1
1
1
1
0
0
1
1
0
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
0
0
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
1
0
1
0
0
1
0
1
0
0
1
1
1
1
0
0
0
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
0
0
0
0
0
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
1
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
1
0
1
0
1
1
0
1
0
0
0
0
0
0
1
1
1
1
1
0
1
1
0
1
1
0
0
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
0
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
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
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
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
0
0
0
0
1
0
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
0
0
0
1
0
0
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
0
0
0
1
0
1
1
0
1
1
0
0
0
0
1
0
0
0
1
1
1
0
1
1
0
1
0
1
0
0
0
0
1
0
0
1
0
0
0
0
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
0
1
0
0
0
1
0
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
0
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
0
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
0
1
0
0
1
1
1
1
0
1
0
1
0
1
0
1
0
1
0
0
1
1
1
0
0
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
0
1
1
1
0
1
0
0
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
0
0
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
0
0
0
0
0
0
0
1
0
0
1
1
1
0
1
1
0
1
0
0
0
0
0
1
0
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
0
0
1
1
1
0
0
0
1
1
1
1
1
0
1
0
0
0
0
1
0
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
0
0
1
1
1
1
1
0
1
0
0
0
0
1
0
1
0
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
0
0
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
0
0
0
1
0
1
0
0
0
1
0
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
0
1
0
1
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
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
0
0
1
0
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
0
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
0
0
0
1
0
0
0
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
0
0
0
0
1
1
0
0
1
0
1
1
1
0
1
0
0
0
0
0
0
1
1
1
0
0
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
0
0
0
1
1
1
0
1
1
0
1
0
1
1
0
0
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
0
1
1
1
0
0
0
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
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
1
0
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
0
0
1
0
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
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
1
1
0
0
1
0
0
1
1
0
1
1
0
0
1
0
1
0
0
1
1
0
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
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
0
1
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
0
0
1
0
1
0
0
0
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
0
1
0
1
1
0
0
0
0
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
0
0
0
0
1
0
1
1
0
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
0
0
0
1
1
0
1
0
1
0
1
1
1
1
0
0
0
1
0
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
0
0
1
1
0
0
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
0
0
1
0
0
1
1
0
1
1
0
1
1
0
0
1
1
0
0
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
0
0
0
1
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
0
1
1
0
1
0
1
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
0
0
1
0
1
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
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
1
0
0
1
1
0
1
1
1
0
0
1
1
1
0
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
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
0
1
1
0
1
1
0
1
0
1
1
0
0
1
1
0
0
1
1
0
1
0
0
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
0
0
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
0
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
0
0
0
0
1
1
1
0
0
0
1
1
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
0
0
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
0
0
1
0
1
0
0
1
1
1
1
1
1
0
0
1
0
1
0
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
0
1
0
0
0
0
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
0
1
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
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
0
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
0
1
0
1
0
0
0
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
0
0
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
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
0
0
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
0
0
1
0
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
0
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
0
0
0
0
1
0
0
0
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
0
0
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
0
1
0
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
0
1
1
1
0
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
0
0
0
0
0
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
1
0
0
1
0
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
0
0
1
1
0
0
1
0
0
1
1
1
0
1
0
1
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
0
1
0
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
0
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
0
0
0
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
0
1
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
0
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
0
0
0
0
1
0
1
0
1
1
0
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
0
1
0
1
0
0
1
1
1
0
0
1
1
1
0
0
1
1
0
0
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
0
0
1
0
1
1
1
0
0
1
1
0
1
0
0
1
1
1
0
0
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
0
1
0
0
1
0
1
0
1
1
0
1
0
1
0
0
1
1
0
0
0
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
0
0
1
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
0
0
0
0
0
1
0
0
0
1
1
0
1
1
1
1
1
0
0
0
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
0
0
0
1
0
1
0
1
1
1
1
0
1
0
0
0
1
0
1
1
1
0
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
0
0
1
0
0
1
0
1
0
0
0
0
0
1
1
0
0
0
1
1
1
1
0
0
1
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
0
1
1
1
0
0
0
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
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
0
1
0
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
0
0
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
0
0
1
1
0
0
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
0
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
0
0
1
0
0
0
1
1
1
0
0
0
1
1
1
0
1
0
0
1
0
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
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
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
0
1
1
1
0
0
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
0
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
0
0
1
0
1
1
1
0
0
1
0
1
1
0
1
0
0
0
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
0
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
0
0
1
1
1
0
1
0
1
0
1
0
1
0
0
1
0
0
0
1
0
0
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
0
1
0
1
0
0
1
1
1
0
1
1
1
0
1
1
0
0
0
1
0
0
1
1
0
0
1
1
1
0
1
0
1
1
1
0
1
0
0
0
1
0
1
1
1
1
0
1
0
0
1
1
0
0
1
0
0
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
0
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
0
0
1
0
0
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
0
1
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
0
1
0
0
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
0
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
0
1
0
0
1
0
0
1
0
1
1
1
0
0
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
0
1
0
1
1
1
1
0
1
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
0
1
0
0
0
0
1
1
1
1
0
0
0
1
0
1
1
0
0
1
1
0
0
0
0
1
1
1
1
1
1
1
0
0
0
0
1
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
0
0
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
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
1
1
0
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
0
0
0
0
0
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
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
0
1
1
1
1
0
0
0
1
1
1
0
1
0
0
1
0
1
1
1
0
1
0
0
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
0
0
1
0
1
0
0
1
0
0
1
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
0
0
0
0
1
1
0
1
0
1
1
1
0
0
1
1
0
0
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
0
1
1
0
0
0
1
0
0
0
1
1
0
0
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
0
0
0
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
0
0
0
0
1
0
1
1
1
0
0
1
0
0
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
0
1
0
1
1
1
0
1
1
0
0
0
0
1
1
0
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
0
0
1
1
0
0
0
1
1
1
0
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
0
1
0
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
1
0
1
0
0
0
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
0
0
0
0
0
1
1
0
1
0
1
1
1
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
1
0
0
0
0
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
1
1
0
1
1
0
1
0
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
0
0
1
0
1
0
0
0
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
0
1
0
0
0
0
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
0
1
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0