Hugging Face's logo

Datasets:
P-Mishra
/
engine-predictive-maintenance

Modalities:
Tabular
Size:
10K - 100K
Dataset card Data Studio Files
xet
Community
1
engine-predictive-maintenance / processed /y_train.csv
P-Mishra's picture
P-Mishra
Upload folder using huggingface_hub
e896ddf 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