Hugging Face's logo

Datasets:
siddhesh1981
/
Predictive-Maintenance-Dataset

Dataset card Data Studio Files
xet
Community
Predictive-Maintenance-Dataset / ytrain.csv
siddhesh1981's picture
siddhesh1981
Upload ytrain.csv with huggingface_hub
fafc1fb 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