Hugging Face's logo

Datasets:
ShaksML
/
predictive_maintenance_data

Dataset card Data Studio Files
xet
 Community
predictive_maintenance_data / training_targets.csv
ShaksML's picture
ShaksML
Upload training_targets.csv with huggingface_hub
affafe2 verified
Raw
History Blame Contribute Delete
31.3 kB
Target_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