Hugging Face's logo

Datasets:
vihu21
/
predictive_maintenance

Dataset card Data Studio Files
xet
Community
predictive_maintenance / master /data /ytrain.csv
vihu21's picture
vihu21
Upload master/data/ytrain.csv with huggingface_hub
3a19729 verified
raw
history blame contribute delete
30.5 kB
 Engine Condition
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
1
0
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
1
0
1
0
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
0
0
0
0
1
0
0
1
0
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
0
0
0
0
1
1
1
0
1
1
0
1
0
1
0
1
0
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
1
0
1
1
0
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
1
0
0
1
0
0
0
0
1
1
1
0
1
0
1
0
1
1
0
1
1
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
1
0
1
1
1
0
1
0
1
1
0
0
0
1
0
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
1
1
1
0
1
0
1
1
1
0
1
0
1
1
0
0
1
0
0
1
0
1
1
1
1
1
0
0
1
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
1
0
0
1
1
1
1
0
0
0
0
1
0
0
0
1
1
1
1
0
1
0
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
0
0
1
0
0
1
1
0
1
1
0
0
0
0
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
0
0
0
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
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
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
0
0
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
0
1
0
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
0
1
0
0
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
1
1
1
0
0
1
0
0
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
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
1
1
1
0
1
0
0
0
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
0
0
0
1
0
1
0
0
1
1
0
0
1
1
0
1
0
0
0
1
1
1
1
0
0
0
0
1
0
1
0
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
1
1
0
1
1
1
0
1
0
0
1
1
1
0
1
1
0
0
0
1
0
1
0
0
1
0
1
1
0
0
1
0
1
0
0
1
1
0
1
0
0
0
0
0
0
0
0
1
1
1
0
0
1
0
1
1
0
1
0
1
0
0
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
0
0
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
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
0
0
1
1
0
1
1
0
0
1
0
1
0
1
0
0
0
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
0
0
1
0
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
0
0
0
1
0
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
0
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
0
0
1
1
1
0
1
0
0
1
0
0
1
1
1
1
0
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
0
0
0
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
0
1
0
0
1
1
0
0
0
0
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
0
0
0
0
0
0
1
0
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
0
1
1
0
1
1
0
0
1
1
1
0
0
0
0
0
0
0
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
1
0
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
0
1
0
1
0
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
0
1
1
0
0
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
0
0
1
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
1
0
1
1
0
1
0
0
0
1
1
0
1
0
0
1
1
0
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
0
0
1
0
1
0
0
0
1
1
0
1
1
1
0
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
1
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
0
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
0
0
1
0
0
1
1
0
0
1
0
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
0
1
0
0
1
1
1
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
0
0
1
0
1
1
0
1
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
0
1
1
1
1
0
0
0
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
1
1
0
1
0
0
0
1
0
0
1
0
1
1
1
0
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
0
0
1
1
0
0
0
0
1
1
1
0
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
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
1
0
1
0
1
1
0
0
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
0
0
1
0
0
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
0
0
0
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
0
1
1
0
1
1
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
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
1
0
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
0
0
0
1
1
1
0
1
1
0
1
1
0
0
0
1
0
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
0
0
1
1
1
1
0
0
0
0
1
1
1
0
0
0
1
0
1
1
1
1
0
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
0
0
1
1
0
0
0
0
1
1
1
0
1
0
0
1
0
0
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
0
0
1
0
0
1
1
0
1
1
1
0
0
1
1
0
0
1
1
0
0
1
0
1
0
0
0
1
0
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
0
0
1
1
1
0
1
1
0
0
0
1
0
0
1
0
0
0
0
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
0
1
0
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
0
1
0
0
1
1
0
1
1
0
1
1
0
0
1
1
1
0
0
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
1
1
1
0
0
1
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
0
0
0
1
0
0
1
0
1
0
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
1
1
1
0
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
0
0
1
1
0
0
0
1
1
1
0
0
0
0
0
1
0
1
1
1
0
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
0
0
0
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
0
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
0
1
0
1
1
1
0
0
0
0
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
0
0
0
1
1
0
0
1
0
0
0
1
0
1
1
0
1
0
1
0
1
0
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
1
1
1
0
0
0
1
1
0
0
1
0
0
0
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
0
1
0
0
0
1
1
1
0
0
0
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
0
1
0
0
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
0
0
1
0
1
0
0
1
0
0
1
1
0
0
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
0
0
0
1
1
1
0
0
0
1
0
1
1
0
0
0
0
1
0
1
0
1
1
0
1
1
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
1
0
0
1
1
1
1
0
1
1
1
0
0
0
1
0
1
1
0
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
0
0
1
0
0
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
1
1
0
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
0
0
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
0
1
0
0
0
1
0
1
0
0
1
1
1
0
1
0
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
0
0
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
1
1
0
1
0
0
1
0
0
1
0
1
1
0
0
0
1
0
1
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
0
1
1
0
1
0
0
0
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
0
1
1
0
0
0
1
1
0
1
1
0
1
0
1
1
0
0
1
0
1
1
1
0
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
0
0
1
0
0
1
1
0
0
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
0
0
1
0
1
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
0
0
1
1
1
0
0
1
0
0
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
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
0
1
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
0
0
1
0
0
1
1
0
0
1
1
0
1
1
0
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
0
0
0
1
1
0
0
0
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
0
0
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
1
0
0
1
0
1
1
0
0
0
1
1
1
1
0
1
0
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
1
1
0
1
1
0
1
0
0
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
0
0
1
1
1
1
0
1
1
0
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
0
1
1
0
0
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
1
1
0
0
1
0
1
1
1
0
0
1
0
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
0
0
0
1
1
0
1
1
1
0
0
0
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
0
1
0
0
1
1
1
0
0
1
0
1
1
1
0
1
0
1
0
0
0
0
1
1
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
1
1
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
0
0
1
0
0
1
0
1
0
1
0
1
0
1
1
1
1
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
1
0
1
1
1
0
1
1
1
1
0
1
0
1
0
0
1
0
1
0
0
1
0
1
1
1
0
1
1
1
0
0
1
0
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
1
0
0
0
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
1
1
0
0
0
0
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
1
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
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
0
1
0
1
1
0
1
0
1
1
0
0
1
0
0
0
0
1
1
0
1
0
0
1
0
0
0
0
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
0
0
1
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
0
0
0
0
1
1
0
1
1
0
0
1
1
0
1
0
1
0
1
0
1
0
1
1
0
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
0
0
0
1
0
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
0
1
0
0
0
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
0
0
1
0
0
1
1
1
1
0
1
0
0
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
0
0
1
1
1
0
0
1
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
0
0
1
0
0
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
0
0
1
0
1
1
1
0
0
0
1
0
0
1
1
1
0
1
1
0
0
1
1
0
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
0
1
0
0
1
0
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
1
0
0
0
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
0
0
1
0
0
1
0
1
0
1
1
0
0
0
0
0
0
1
1
0
1
0
0
1
0
0
1
1
0
1
0
0
1
1
1
1
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
0
0
1
0
1
0
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
0
0
0
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
0
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
1
1
0
0
0
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
0
0
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
0
1
1
0
1
1
1
0
1
0
0
1
0
1
1
1
0
0
0
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
0
1
0
0
0
1
0
1
1
1
0
0
1
1
1
1
0
0
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
0
0
0
0
1
0
1
0
1
0
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
0
0
0
0
0
1
1
0
1
0
1
0
1
0
1
0
0
1
1
0
0
1
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
0
1
1
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
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
0
1
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
0
0
1
0
0
0
1
0
1
1
1
1
0
0
0
1
1
1
1
0
0
1
0
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
0
0
0
0
1
0
0
1
1
0
0
0
1
0
0
0
1
1
1
1
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
0
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
1
0
0
1
1
0
0
1
1
1
0
1
1
0
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
0
0
0
1
0
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
0
0
0
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
0
1
0
0
1
1
0
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
0
1
1
0
1
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
0
1
1
0
1
0
1
1
0
0
0
0
1
1
0
0
0
0
1
1
0
0
1
1
0
1
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
1
0
1
1
0
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
0
0
1
1
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
1
0
1
1
0
0
0
1
0
1
0
1
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
0
0
1
0
1
0
0
1
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
0
1
0
0
1
1
0
1
0
0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
0
1
0
0
1
0
0
1
1
1
1
0
0
1
0
0
0
0
1
1
0
0
1
0
1
1
0
0
1
0
0
1
1
0
1
1
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
0
0
1
0
0
0
1
0
1
1
1
0
1
1
1
0
0
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
0
0
0
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
0
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
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
1
0
0
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
0
0
1
0
1
0
1
1
0
1
0
1
0
0
0
1
0
1
1
0
1
0
0
1
1
1
0
1
0
0
0
0
1
0
0
1
0
0
0
1
0
1
1
1
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
0
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
1
0
1
0
0
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
1
1
0
0
0
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
0
0
1
1
0
0
1
0
0
0
1
0
1
1
1
1
0
1
1
0
0
1
1
0
0
0
0
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
0
0
1
0
0
0
1
1
1
1
0
0
0
1
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
0
1
1
0
0
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
0
1
0
0
0
1
1
1
1
0
0
1
0
1
1
1
0
0
1
0
0
0
1
1
0
0
0
0
1
1
0
0
1
0
1
0
0
1
0
0
0
0
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
0
0
1
0
0
1
0
0
1
0
0
1
1
0
1
0
1
0
0
0
1
0
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
0
1
0
1
1
0
0
1
1
0
1
0
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
0
1
0
1
1
1
0
0
1
1
1
0
0
0
0
1
0
1
1
0
1
1
0
0
1
1
0
1
0
0
0
0
1
1
0
0
0
1
1
1
0
0
0
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
1
1
0
1
0
0
1
0
0
0
1
1
1
0
0
0
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
0
1
1
0
1
0
0
0
1
0
1
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
0
0
0
0
0
0
1
1
0
1
1
0
0
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
0
0
1
1
0
0
0
0
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
0
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
1
1
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
0
1
0
0
0
1
0
0
1
1
0
0
0
1
1
0
0
1
0
0
1
0
0
1
0
1
0
1
0
0
0
1
1
1
1
0
0
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
1
0
0
1
0
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
1
1
0
0
0
1
0
1
1
1
0
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
0
1
0
0
0
1
1
1
1
0
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
1
0
0
0
0
1
0
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
0
1
1
0
0
0
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
1
0
0
1
1
0
1
0
1
0
1
1
1
1
0
0
1
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
1
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
0
0
1
0
1
0
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
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
0
1
1
1
1
0
0
0
0
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
0
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
0
0
1
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
0
1
1
1
0
0
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
0
1
0
0
0
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
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
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
0
0
1
1
0
1
1
0
1
0
1
0
1
0
0
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
0
0
1
0
0
0
0
1
0
1
0
1
1
0
1
1
0
0
1
1
0
1
0
1
0
1
1
1
0
0
0
0
0
0
0
0
1
1
1
0
1
0
0
1
0
0
1
0
0
1
1
0
0
1
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1
0
0
0
1
0
1
0
0
0
1
1
1
1
0
1
1
1
0
1
1
0
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
1
1
1
0
1
1
0
0
1
1
1
0
0
0
0
1
0
1
1
0
1
0
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
0
1
0
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
0
1
0
0
1
0
1
0
1
1
0
0
1
1
1
0
0
0
1
1
1
1
0
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
1
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
1
1
0
0
0
0
1
0
0
1
0
0
0
0
0
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
0
1
1
1
0
1
0
0
0
1
0
0
0
0
1
1
1
1
1
0
1
0
0
0
0
1
1
0
1
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
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
0
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
0
0
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
1
1
1
1
1
0
0
1
0
0
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
0
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
0
0
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
1
0
1
1
1
0
0
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
1
0
0
0
1
1
1
0
0
0
1
1
0
1
1
1
0
0
0
0
1
1
0
0
0
1
1
1
1
0
1
0
1
0
0
0
1
0
1
0
0
1
1
1
1
1
0
1
0
1
0
1
0
0
0
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
1
0
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
0
0
0
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
0
1
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
0
0
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
0
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
0
1
0
0
1
0
0
0
1
1
1
1
1
1
0
1
0
0
0
0
0
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
1
0
1
1
1
0
0
0
0
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
0
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
0
1
1
1
0
0
0
1
0
1
0
1
1
0
0
1
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
0
1
0
0
1
0
0
0
0
1
1
1
1
0
1
0
0
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
1
0
0
0
0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
0
0
0
0
0
0
1
0
0
1
1
0
1
0
1
1
0
1
0
1
1
1
0
0
0
0
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
0
0
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
1
0
1
1
0
1
1
0
1
0
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
0
0
1
1
0
0
1
1
1
0
1
1
0
1
1
1
0
0
0
1
0
1
0
0
0
0
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
0
1
1
0
1
1
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
0
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
0
1
1
0
1
0
1
1
1
0
1
1
1
0
1
1
0
1
0
1
0
1
1
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
1
1
1
1
1
0
0
1
0
1
0
0
1
0
1
0
1
0
0
1
1
0
1
1
0
0
1
0
0
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
0
0
0
1
1
0
0
0
1
0
0
0
1
0
1
1
0
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
0
0
0
1
1
0
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
1
0
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
1
0
0
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
1
0
1
0
1
1
1
0
0
1
0
1
0
0
1
1
1
0
1
1
0
0
1
1
0
0
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
0
1
1
1
1
0
1
1
0
0
0
0
1
1
0
1
1
1
1
0
1
1
0
0
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
0
1
0
1
0
0
1
1
1
1
0
0
0
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
0
1
1
1
0
0
0
0
0
0
1
1
0
1
0
0
1
1
0
0
1
1
0
0
0
1
0
0
1
0
1
0
1
0
1
1
1
0
1
0
0
0
0
0
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
0
0
0
0
1
0
1
1
0
0
1
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1
0
1
1
1
0
1
0
0
1
1
0
0
1
0
1
0
0
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
0
0
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
0
1
0
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
0
0
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1
0
1
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
1
0
0
1
1
1
1
0
1
0
1
1
0
1
0
1
0
0
0
0
1
0
0
0
1
1
0
0
1
0
1
1
1
0
0
1
0
1
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
1
0
1
0
0
0
0
1
1
1
0
1
0
1
0
0
0
0
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
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
0
1
1
0
1
0
1
0
1
0
1
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
0
0
0
0
0
1
1
0
1
1
0
0
0
0
1
0
1
0
0
1
1
0
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
0
0
1
1
1
0
0
0
1
0
1
0
1
0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
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
1
1
1
1
0
1
1
1
1
1
0
1
1
0
1
1
0
0
1
1
0
1
0
1
1
0
1
1
0
0
1
0
0
0
1
0
1
1
1
1
0
1
0
0
1
1
0
0
0
1
1
0
0
0
0
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
1
1
1
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
1
0
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
0
0
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
0
0
0
0
0
1
1
1
1
0
1
1
0
1
0
1
0
1
1
1
1
1
0
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
1
1
0
1
0
1
1
1
1
0
0
1
1
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
0
1
0
1
1
0
1
1
0
1
0
1
0
0
1
0
1
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
1
1
0
1
1
0
0
1
0
0
0
1
1
0
1
1
1
1
1
0
1
1
1
0
1
1
0
1
0
0
0
1
1
1
1
1
0
0
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
1
0
1
0
0
1
1
0
1
1
0
1
0
0
1
1
1
0
0
1
0
0
0
0
1
1
1
1
1
1
0
0
0
0
1
1
0
1
1
1
0
0
0
1
0
0
0
0
1
1
1
1
0
0
0
0
1
1
0
1
1
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
0
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
0
1
1
0
1
0
0
0
1
1
0
1
0
1
0
0
0
0
1
1
0
1
1
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
1
1
0
1
0
0
0
1
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
0
0
1
1
1
0
0
1
1
0
1
0
1
0
0
0
1
0
1
0
0
1
0
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
0
1
1
1
1
0
1
0
0
1
1
1
1
0
0
1
0
1
1
1
0
1
1
0
1
0
0
0
0
0
0
1
1
1
1
0
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
1
1
1
0
0
1
0
1
0
1
0
0
1
1
0
1
0
1
0
1
1
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
0
1
1
1
1
0
0
1
1
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
0
0
1
0
1
0
0
1
1
0
0
1
1
0
0
1
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
0
0
1
0
0
0
1
1
1
1
0
1
1
0
0
1
0
1
0
0
1
0
0
1
1
1
0
1
0
1
1
0
1
0
1
1
0
1
1
0
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
1
0
0
0
1
0
0
1
0
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
0
1
0
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
1
1
0
1
0
0
1
0
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
1
1
0
0
0
1
0
1
1
0
1
1
1
1
1
0
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
0
1
1
0
0
1
1
0
0
1
0
0
1
0
1
1
1
0
1
0
1
0
1
1
1
0
1
1
1
0
0
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
0
0
1
1
0
1
0
0
0
1
1
1
0
0
0
1
1
0
0
0
0
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
0
0
0
0
0
1
0
0
0
0
0
1
1
1
0
0
0
0
1
1
1
0
0
0
1
0
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
0
1
1
1
1
1
0
1
1
1
1
1
0
0
1
1
1
0
1
0
0
0
0
1
1
0
0
1
0
0
1
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
0
1
1
0
0
0
0
0
1
1
0
1
1
0
0
1
1
1
0
0
0
0
1
0
1
1
1
0
0
1
1
1
0
1
0
1
1
0
1
0
0
0
0
0
1
1
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
1
1
1
0
1
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
0
0
1
1
1
0
0
0
0
1
1
1
1
1
0
0
1
1
1
1
0
1
1
0
0
1
0
1
1
0
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
0
1
1
1
1
0
1
0
1
1
1
0
0
1
1
0
0
1
1
0
1
1
1
0
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
0
0
0
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
0
1
0
0
0
0
1
1
1
1
1
0
1
0
1
0
1
0
0
1
1
0
1
1
0
1
1
1
1
0
1
0
0
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
1
0
1
0
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
0
1
1
0
1
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
0
0
1
0
0
1
1
1
1
1
0
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
1
0
1
0
0
1
1
1
0
0
0
0
0
1
0
0
1
0
1
1
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
1
0
0
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
0
0
1
0
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
1
0
0
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
0
1
0
1
0
0
1
1
0
1
1
1
0
1
1
1
1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
0
1
1
1
1
1
1
0
0
1
0
1
0
1
1
1
1
1
0
0
1
0
1
0
0
1
1
0
1
1
1
1
1