Hugging Face's logo

Datasets:
samdurai102024
/
Predictive-Maintenance-Prediction

Modalities:
Tabular
Text
Formats:
csv
Size:
10K - 100K
Libraries:
Datasets
Dask
Polars
Dataset card Data Studio Files
xet
Community
1
Predictive-Maintenance-Prediction / y_train.csv
samdurai102024's picture
samdurai102024
Upload y_train.csv with huggingface_hub
9ef64e3 verified
raw
history blame contribute delete
23.5 kB
 Engine_Condition
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
0
0
0
1
0
0
1
0
1
1
0
1
1
0
0
1
0
1
0
0
0
1
1
1
1
1
0
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
0
1
0
1
0
0
0
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
0
0
1
0
1
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
0
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
0
1
1
1
0
1
1
0
0
1
0
1
0
1
1
0
0
1
0
1
0
0
1
1
1
0
0
0
1
1
1
1
0
0
1
0
1
0
0
0
1
1
1
0
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
1
0
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
0
0
1
1
0
1
1
0
1
0
0
1
1
1
0
0
0
1
0
1
0
0
1
0
0
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
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
0
1
1
0
1
1
0
1
0
0
1
1
0
0
1
1
0
1
1
0
1
0
1
0
1
1
0
0
1
0
1
0
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
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
1
0
1
1
1
1
0
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
0
1
0
0
0
0
0
0
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
0
1
1
0
0
0
0
0
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
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
1
0
1
1
0
1
0
0
0
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
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
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
1
0
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
0
0
1
1
0
0
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
0
0
0
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
1
0
1
0
0
1
1
0
0
0
0
1
1
1
0
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
0
0
0
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
0
0
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
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
0
1
0
0
0
0
1
0
1
0
1
1
0
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
0
0
0
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
0
0
0
1
0
1
1
0
0
0
1
1
0
0
1
0
0
0
1
0
1
1
1
0
0
1
1
1
1
0
0
0
1
0
1
0
1
1
0
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
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
0
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
0
0
0
1
0
1
1
0
0
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
0
1
0
1
0
1
0
1
0
0
0
0
1
1
1
0
0
1
0
1
0
1
0
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
1
1
1
0
0
0
0
1
0
1
1
1
0
0
1
0
0
1
0
1
0
0
0
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
0
0
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
0
1
0
1
0
1
0
1
0
0
0
1
1
1
1
0
0
0
1
0
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
0
0
1
0
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
0
0
1
0
1
0
1
0
1
0
0
1
0
1
0
0
0
1
1
1
1
0
1
0
1
0
1
0
0
1
1
0
0
0
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
0
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
0
0
0
1
0
1
0
1
0
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
0
1
0
0
1
1
0
1
1
0
0
1
1
1
0
0
1
1
0
1
0
0
1
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
0
1
0
0
0
0
1
0
1
1
0
0
1
1
1
0
1
1
0
1
0
0
1
0
1
1
1
1
0
0
0
0
1
0
0
1
1
0
1
0
0
0
1
1
1
0
1
0
0
1
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
0
0
0
1
0
0
0
1
1
1
1
1
0
0
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
0
0
1
0
1
0
1
1
1
0
0
0
1
1
1
0
1
1
0
1
0
1
0
1
1
0
0
1
0
0
1
0
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
0
0
1
0
0
0
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
1
1
0
1
1
0
0
0
0
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
0
0
1
0
1
0
1
1
0
0
0
0
0
0
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
0
1
0
1
0
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
0
1
0
1
0
0
1
0
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
0
0
1
1
0
1
0
0
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
0
1
0
1
1
0
0
1
1
1
1
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
1
1
0
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
1
1
0
1
0
0
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
0
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
0
0
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
0
0
1
1
0
0
0
1
1
1
0
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
0
0
0
0
0
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
0
0
0
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
0
0
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
0
0
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
1
0
1
0
1
1
1
0
1
0
0
1
1
0
0
0
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
0
1
0
0
0
0
1
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
0
0
0
1
1
1
0
1
0
0
1
0
1
1
0
0
1
1
1
0
0
0
0
1
1
0
1
0
0
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
0
1
0
0
0
1
0
1
0
1
1
0
1
0
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
0
0
0
0
0
1
0
0
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
0
0
0
1
0
0
0
0
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
0
1
1
0
0
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
0
0
0
0
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
0
1
1
0
0
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
1
0
0
0
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
0
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
0
1
0
0
0
0
1
1
1
0
0
1
1
0
0
1
0
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
0
1
0
0
0
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
0
1
0
0
1
0
1
0
0
1
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
0
0
0
0
0
0
0
1
1
1
1
0
0
1
0
0
0
0
1
0
0
0
1
0
1
1
0
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
0
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
0
1
0
0
1
1
1
0
0
1
1
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
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
0
0
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
0
1
0
0
1
0
0
0
1
0
1
0
1
0
1
1
0
1
1
0
0
0
1
1
0
1
0
1
1
0
0
1
0
0
0
0
0
0
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
0
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
0
0
0
0
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
1
0
0
1
0
1
1
1
1
0
0
1
0
1
1
0
1
1
0
1
0
0
1
0
0
1
1
0
1
0
0
1
0
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
0
1
0
1
0
0
0
1
1
1
0
1
1
0
1
0
1
0
0
0
0
1
0
1
0
1
1
0
0
0
0
0
0
1
1
0
0
1
1
1
0
0
1
1
1
0
1
0
0
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
0
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
0
0
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
0
1
0
0
0
1
0
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
1
0
1
0
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
0
0
1
0
1
1
0
0
1
0
1
1
0
0
0
1
1
0
1
1
0
0
1
1
0
1
1
0
1
0
0
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
1
0
0
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
0
0
1
0
0
1
1
0
1
0
0
0
1
1
1
0
1
0
0
1
0
1
1
0
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
0
0
1
0
1
1
0
0
0
0
1
1
1
0
1
0
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
1
0
0
1
0
0
1
0
1
0
0
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
0
0
1
0
0
1
1
1
0
1
0
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
0
0
1
0
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
0
0
0
1
0
0
0
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
0
0
1
1
1
0
0
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
0
0
1
1
1
0
1
0
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
0
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
0
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
1
1
1
0
1
0
0
1
0
1
0
1
1
0
0
1
0
0
1
0
1
0
0
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
0
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
0
0
1
0
1
0
1
0
1
0
1
0
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
0
0
0
0
1
0
0
1
1
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
0
0
0
0
0
0
1
1
0
1
1
1
0
0
0
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
0
1
1
0
1
0
1
1
0
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
1
0
0
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
0
0
0
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
0
1
0
1
1
0
0
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
0
0
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
0
0
1
1
1
0
1
1
0
0
0
1
0
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
0
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
1
0
1
0
0
0
0
1
0
0
1
1
0
1
0
0
1
0
1
0
0
1
0
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
0
0
1
1
0
0
1
1
1
1
0
0
1
0
1
0
0
0
1
1
0
1
1
0
1
0
1
0
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
0
0
0
0
1
0
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
0
0
1
0
0
1
1
0
1
1
0
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
0
0
0
1
1
1
1
0
1
1
1
0
0
1
1
1
0
0
1
0
1
0
1
1
0
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
0
0
0
0
0
0
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
0
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
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
0
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
0
0
1
0
0
1
1
0
0
1
0
1
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
0
1
1
0
1
1
0
0
0
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
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
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
0
1
0
0
0
0
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
0
0
1
1
0
0
1
1
1
1
1
0
0
0
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
0
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
0
1
0
1
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
0
0
0
1
0
1
0
0
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
0
1
0
0
0
1
1
0
1
0
0
1
1
1
0
0
0
1
1
1
0
1
0
1
0
0
0
0
0
1
0
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
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
1
1
0
1
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
0
0
1
0
0
1
1
0
1
0
0
0
0
1
0
0
1
1
0
1
0
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
0
0
0
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
0
0
1
0
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
0
1
0
0
0
0
0
1
1
0
1
0
1
0
1
1
0
0
0
0
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
0
0
0
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
0
0
0
0
0
1
1
1
0
0
1
0
1
1
0
1
0
0
0
0
0
1
1
1
1
0
1
0
0
1
1
0
1
1
0
1
0
0
0
1
0
0
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
1
0
0
0
1
0
0
0
1
1
0
1
1
0
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
0
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
1
0
1
0
1
0
0
0
0
0
1
0
1
0
1
1
1
0
1
1
0
0
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
0
1
0
1
0
0
0
0
1
1
1
1
1
1
0
0
0
0
1
1
0
0
1
1
1
1
0
0
0
0
1
0
1
1
1
0
1
0
1
0
0
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
0
1
0
0
0
0
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
1
1
0
1
0
0
1
1
1
1
0
1
1
1
0
0
0
1
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
0
0
1
1
0
0
0
1
1
1
0
0
1
0
0
1
1
0
0
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
0
1
0
0
0
0
0
1
1
0
0
1
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
0
0
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
0
0
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
0
0
0
1
0
1
0
1
1
0
0
0
0
1
1
0
1
0
0
1
0
0
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
0
0
0
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
0
0
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
1
1
0
0
0
0
0
1
1
0
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
0
1
1
0
0
0
0
1
0
0
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
0
0
1
1
0
0
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
0
0
0
1
0
1
1
1
0
1
0
1
1
0
0
1
0
0
0
0
0
1
1
1
1
0
1
1
0
1
0
1
0
1
0
0
1
1
1
0
0
1
0
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
0
0
0
1
0
1
0
0
1
0
1
1
0
0
0
0
0
0
1
0
0
1
1
0
1
0
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
0
1
0
1
0
0
1
1
0
0
0
0
1
0
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
0
0
1
0
0
1
1
1
1
0
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
1
0
1
0
0
0
1
0
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
0
0
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
0
1
0
1
0
0
0
1
1
1
0
0
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
0
1
0
1
1
0
0
1
0
1
0
1
1
1
0
0
0
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
0
1
0
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
0
0
0
1
0
1
0
1
1
1
0
0
1
0
1
0
1
0
0
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
0
0
0
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
0
0
1
0
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
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
0
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
0
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
0
0
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
0
0
1
1
0
0
0
1
1
0
0
1
1
1
0
1
0
1
1
1
0
1
0
0
0
0
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
0
1
0
0
0
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
0
1
1
0
0
1
1
0
0
1
1
1
0
1
0
1
0
0
1
0
0
0
1
1
1
0
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
0
0
0
0
1
1
0
1
0
1
0
0
1
1
1
0
1
1
1
1
1
0
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
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
0
0
0
0
1
0
1
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
0
0
1
0
1
0
0
0
1
0
1
1
0
0
1
0