Hugging Face's logo

Datasets:
liangyou03
/
SimplexTasks-12-data

Tasks:
Other
Modalities:
Text
Size:
< 1K
ArXiv:
Tags:
conformal-prediction
uncertainty-estimation
simplex
benchmark
task-collection
License:
Dataset card Data Studio Files
xet
 Community
1
SimplexTasks-12-data / data /derived /utkface_ldl /strata_task_default.json
liangyou03's picture
liangyou03
Upload folder using huggingface_hub
75f1ee6 verified
Raw History Blame Contribute Delete
166 kB
{
"method": "entropy",
"n_strata": 5,
"labels": [
0,
1,
1,
1,
4,
3,
0,
0,
0,
0,
2,
1,
2,
3,
1,
0,
1,
1,
0,
4,
1,
0,
2,
2,
2,
1,
3,
2,
4,
3,
2,
1,
0,
4,
3,
3,
1,
0,
4,
1,
1,
4,
1,
3,
3,
1,
2,
3,
2,
0,
4,
3,
1,
1,
4,
2,
2,
2,
2,
0,
1,
1,
0,
0,
2,
1,
4,
2,
0,
3,
1,
1,
4,
1,
0,
4,
3,
4,
3,
1,
3,
0,
2,
4,
3,
2,
3,
1,
4,
3,
3,
2,
3,
1,
1,
2,
2,
2,
1,
1,
4,
1,
1,
2,
3,
3,
2,
2,
2,
2,
3,
2,
0,
3,
3,
2,
1,
3,
1,
1,
4,
2,
2,
0,
1,
0,
0,
1,
1,
2,
3,
2,
3,
3,
0,
1,
2,
2,
2,
4,
4,
3,
2,
3,
3,
1,
2,
0,
4,
4,
1,
4,
1,
2,
4,
2,
2,
1,
4,
1,
0,
4,
3,
3,
0,
0,
3,
4,
0,
3,
4,
1,
4,
3,
0,
2,
3,
0,
4,
1,
0,
3,
4,
3,
4,
1,
3,
2,
2,
1,
4,
2,
0,
3,
0,
1,
4,
1,
1,
3,
0,
4,
1,
0,
1,
3,
4,
4,
3,
3,
0,
3,
2,
3,
1,
3,
1,
1,
0,
2,
3,
3,
2,
1,
0,
1,
0,
2,
3,
1,
4,
3,
4,
2,
2,
3,
0,
0,
3,
2,
2,
0,
1,
2,
4,
3,
1,
3,
2,
0,
1,
0,
3,
0,
0,
1,
4,
2,
2,
1,
3,
4,
3,
4,
1,
3,
2,
4,
1,
2,
1,
4,
2,
0,
4,
2,
0,
1,
1,
4,
4,
4,
2,
1,
2,
0,
2,
4,
1,
4,
2,
3,
1,
0,
3,
2,
4,
1,
3,
3,
3,
0,
0,
0,
3,
2,
1,
4,
3,
1,
4,
0,
3,
2,
3,
2,
3,
4,
4,
2,
0,
3,
0,
3,
4,
3,
3,
2,
2,
4,
0,
2,
1,
3,
1,
4,
0,
1,
4,
3,
3,
2,
0,
2,
0,
4,
3,
2,
1,
2,
3,
2,
3,
2,
1,
0,
1,
1,
1,
1,
1,
3,
3,
4,
2,
2,
4,
4,
1,
2,
0,
0,
3,
3,
1,
1,
3,
0,
3,
0,
0,
3,
0,
4,
0,
2,
1,
3,
0,
0,
0,
1,
2,
2,
4,
3,
2,
0,
0,
2,
3,
1,
1,
4,
2,
3,
1,
2,
0,
2,
2,
2,
3,
2,
3,
0,
4,
3,
2,
1,
3,
0,
4,
2,
2,
0,
4,
2,
0,
4,
1,
0,
2,
0,
2,
2,
4,
1,
3,
2,
1,
0,
3,
1,
4,
3,
3,
2,
0,
3,
3,
0,
4,
2,
0,
3,
4,
2,
2,
4,
0,
3,
2,
0,
3,
2,
0,
1,
3,
1,
4,
1,
3,
3,
1,
3,
1,
2,
1,
4,
2,
4,
1,
1,
1,
1,
4,
3,
0,
0,
2,
2,
0,
4,
0,
3,
2,
1,
2,
3,
4,
4,
3,
4,
0,
2,
1,
4,
2,
3,
2,
2,
3,
0,
2,
0,
4,
1,
2,
4,
0,
0,
1,
4,
4,
1,
4,
3,
3,
3,
1,
3,
1,
0,
3,
1,
0,
2,
2,
3,
0,
4,
4,
3,
0,
2,
1,
0,
1,
3,
0,
3,
1,
3,
0,
2,
1,
3,
4,
0,
3,
4,
4,
2,
1,
3,
2,
4,
2,
3,
3,
3,
2,
4,
3,
3,
1,
3,
3,
4,
2,
3,
1,
1,
4,
1,
2,
3,
1,
4,
2,
1,
1,
1,
2,
0,
2,
2,
4,
4,
4,
4,
4,
4,
2,
1,
2,
3,
0,
0,
2,
2,
3,
4,
3,
3,
1,
0,
1,
1,
2,
2,
0,
0,
0,
3,
1,
0,
4,
0,
3,
4,
2,
1,
2,
1,
2,
3,
2,
2,
4,
0,
2,
2,
1,
1,
1,
4,
4,
4,
1,
3,
2,
3,
2,
0,
2,
3,
1,
3,
3,
1,
2,
1,
1,
1,
0,
1,
0,
0,
4,
4,
0,
1,
3,
3,
1,
3,
1,
2,
1,
4,
1,
1,
4,
3,
3,
1,
2,
1,
3,
4,
0,
0,
3,
3,
4,
4,
2,
2,
4,
2,
2,
3,
4,
1,
1,
4,
4,
1,
4,
1,
1,
3,
3,
0,
2,
2,
4,
0,
4,
0,
3,
4,
1,
1,
1,
3,
3,
1,
2,
4,
2,
3,
3,
4,
1,
4,
1,
4,
0,
4,
0,
1,
3,
0,
4,
3,
3,
1,
2,
3,
4,
3,
4,
3,
3,
0,
1,
4,
3,
0,
2,
4,
1,
3,
4,
3,
1,
4,
0,
4,
0,
4,
4,
1,
0,
0,
1,
4,
3,
1,
0,
3,
4,
4,
2,
2,
4,
3,
3,
2,
2,
3,
1,
0,
2,
4,
3,
3,
0,
0,
0,
0,
2,
3,
2,
3,
4,
4,
2,
3,
1,
3,
1,
0,
3,
2,
1,
4,
4,
2,
2,
3,
4,
3,
1,
3,
0,
1,
2,
0,
4,
1,
1,
0,
4,
4,
2,
3,
2,
3,
2,
4,
1,
1,
2,
0,
3,
4,
4,
4,
3,
1,
0,
1,
0,
1,
4,
2,
2,
1,
0,
1,
0,
3,
3,
3,
4,
2,
2,
4,
3,
0,
3,
2,
4,
3,
3,
2,
1,
0,
2,
0,
2,
3,
0,
3,
4,
4,
3,
4,
0,
2,
2,
1,
2,
4,
3,
2,
4,
0,
1,
4,
4,
1,
4,
0,
1,
1,
1,
4,
4,
3,
0,
0,
1,
3,
3,
0,
4,
0,
0,
2,
1,
0,
1,
2,
2,
3,
3,
1,
3,
1,
3,
0,
1,
4,
2,
3,
1,
4,
2,
3,
0,
4,
3,
0,
1,
0,
3,
2,
2,
1,
3,
0,
2,
3,
4,
3,
1,
4,
2,
3,
3,
2,
1,
4,
4,
1,
0,
4,
0,
4,
3,
0,
1,
1,
2,
1,
2,
1,
2,
0,
0,
3,
1,
2,
2,
2,
4,
4,
1,
1,
4,
4,
2,
2,
3,
0,
3,
1,
4,
4,
1,
2,
3,
2,
0,
4,
1,
0,
1,
0,
2,
3,
1,
1,
3,
1,
1,
4,
2,
3,
4,
0,
2,
0,
0,
4,
2,
3,
0,
2,
3,
4,
4,
4,
4,
3,
0,
4,
3,
4,
3,
2,
0,
0,
4,
3,
2,
3,
1,
2,
4,
0,
3,
3,
2,
4,
4,
2,
2,
0,
4,
1,
1,
0,
4,
2,
4,
3,
4,
1,
0,
1,
3,
2,
3,
2,
4,
0,
3,
0,
3,
0,
3,
1,
0,
2,
0,
4,
1,
4,
4,
1,
2,
1,
4,
2,
3,
0,
0,
1,
1,
4,
1,
0,
3,
2,
3,
3,
4,
1,
4,
3,
1,
2,
0,
3,
0,
1,
0,
1,
4,
2,
3,
3,
4,
4,
2,
4,
3,
4,
2,
2,
3,
0,
1,
1,
0,
4,
3,
1,
3,
3,
3,
1,
2,
0,
0,
4,
1,
0,
0,
1,
4,
2,
2,
2,
0,
0,
2,
0,
0,
4,
2,
2,
2,
3,
1,
0,
1,
2,
2,
2,
1,
3,
4,
1,
2,
0,
3,
3,
3,
4,
1,
1,
2,
0,
0,
4,
0,
1,
1,
4,
2,
1,
1,
2,
4,
1,
3,
4,
4,
0,
0,
1,
1,
1,
1,
3,
2,
4,
1,
2,
0,
0,
1,
2,
3,
3,
1,
2,
4,
0,
2,
4,
2,
0,
3,
0,
1,
3,
2,
1,
2,
4,
2,
3,
4,
0,
4,
1,
3,
4,
1,
1,
4,
4,
4,
3,
0,
4,
2,
1,
2,
0,
4,
0,
2,
3,
4,
1,
3,
3,
0,
0,
1,
4,
2,
0,
2,
0,
3,
3,
0,
1,
3,
2,
1,
2,
0,
0,
3,
1,
1,
0,
4,
2,
3,
4,
3,
2,
2,
4,
4,
3,
1,
4,
0,
3,
3,
3,
1,
0,
2,
2,
4,
2,
1,
1,
3,
3,
1,
4,
3,
2,
2,
0,
2,
1,
4,
2,
4,
3,
4,
2,
1,
3,
1,
2,
4,
3,
2,
0,
1,
4,
0,
4,
2,
0,
4,
2,
4,
1,
2,
4,
3,
3,
3,
1,
4,
1,
1,
1,
2,
4,
1,
1,
1,
3,
1,
0,
2,
3,
2,
1,
4,
0,
2,
1,
0,
4,
1,
3,
2,
1,
0,
2,
3,
0,
2,
4,
1,
1,
0,
1,
4,
1,
2,
4,
4,
3,
2,
0,
2,
1,
4,
2,
0,
0,
1,
1,
2,
1,
0,
2,
0,
0,
2,
0,
0,
2,
1,
4,
4,
1,
2,
4,
2,
3,
2,
1,
2,
2,
0,
0,
3,
2,
2,
4,
4,
0,
2,
0,
2,
4,
4,
2,
0,
2,
2,
2,
1,
3,
0,
4,
4,
2,
4,
0,
4,
1,
4,
4,
1,
2,
0,
4,
3,
3,
0,
3,
0,
4,
4,
3,
3,
3,
0,
3,
0,
3,
1,
4,
0,
4,
3,
3,
0,
3,
2,
0,
1,
2,
4,
2,
0,
2,
3,
4,
1,
0,
4,
3,
3,
4,
1,
2,
0,
4,
1,
0,
2,
2,
4,
4,
3,
0,
4,
1,
2,
3,
2,
3,
4,
1,
1,
3,
4,
4,
0,
1,
4,
3,
3,
2,
1,
2,
3,
1,
3,
4,
2,
1,
4,
4,
4,
1,
0,
3,
4,
4,
4,
0,
3,
2,
4,
2,
3,
1,
1,
2,
0,
2,
4,
4,
1,
4,
0,
3,
3,
2,
0,
2,
2,
2,
4,
1,
1,
4,
4,
0,
3,
2,
3,
4,
3,
2,
2,
2,
1,
0,
2,
4,
3,
4,
3,
2,
3,
2,
1,
4,
1,
4,
3,
2,
1,
3,
2,
4,
2,
0,
3,
2,
4,
1,
4,
3,
2,
4,
0,
0,
4,
4,
0,
4,
1,
0,
1,
1,
3,
0,
2,
4,
2,
3,
1,
4,
1,
3,
2,
3,
2,
2,
2,
1,
0,
3,
3,
4,
3,
4,
3,
4,
4,
3,
0,
2,
1,
4,
1,
1,
4,
1,
4,
3,
4,
3,
2,
2,
2,
1,
0,
3,
1,
0,
1,
4,
2,
1,
3,
1,
2,
3,
2,
0,
1,
0,
3,
2,
1,
1,
0,
0,
0,
0,
1,
4,
2,
0,
3,
4,
4,
2,
4,
4,
4,
2,
3,
3,
0,
2,
2,
0,
1,
3,
3,
2,
0,
3,
1,
2,
0,
0,
0,
0,
4,
4,
0,
1,
0,
3,
1,
2,
2,
0,
4,
3,
1,
3,
1,
3,
3,
3,
2,
0,
1,
3,
2,
2,
1,
4,
4,
2,
1,
1,
4,
2,
1,
2,
0,
2,
0,
2,
0,
2,
3,
1,
2,
4,
3,
0,
4,
1,
2,
0,
2,
2,
4,
1,
1,
2,
0,
0,
4,
2,
2,
2,
3,
1,
2,
1,
2,
3,
2,
3,
4,
0,
0,
2,
0,
4,
2,
4,
0,
4,
0,
2,
4,
2,
1,
1,
3,
0,
3,
3,
3,
3,
1,
0,
0,
2,
2,
4,
4,
2,
4,
0,
1,
1,
1,
2,
3,
0,
1,
0,
0,
2,
3,
0,
2,
0,
0,
1,
4,
4,
2,
2,
4,
4,
1,
3,
0,
3,
3,
1,
4,
2,
1,
1,
2,
0,
1,
3,
1,
2,
0,
1,
3,
3,
2,
0,
4,
0,
2,
2,
1,
4,
2,
0,
2,
3,
1,
2,
0,
2,
2,
4,
1,
2,
1,
3,
3,
1,
2,
3,
0,
4,
0,
1,
1,
2,
2,
2,
4,
2,
2,
0,
0,
4,
1,
3,
1,
2,
1,
3,
0,
3,
1,
1,
1,
4,
1,
3,
2,
4,
2,
1,
0,
1,
1,
3,
0,
3,
1,
4,
1,
0,
3,
0,
3,
4,
4,
2,
3,
2,
1,
4,
1,
4,
1,
4,
4,
2,
4,
0,
2,
3,
3,
1,
0,
1,
4,
2,
2,
2,
0,
0,
2,
4,
1,
2,
3,
0,
1,
1,
2,
3,
0,
1,
4,
3,
2,
3,
3,
1,
1,
1,
2,
0,
4,
3,
1,
1,
0,
3,
4,
1,
0,
4,
2,
3,
0,
1,
4,
1,
4,
3,
3,
1,
1,
1,
2,
2,
4,
0,
3,
3,
2,
1,
3,
3,
1,
4,
1,
3,
4,
1,
0,
0,
4,
1,
1,
2,
4,
4,
1,
3,
4,
0,
1,
0,
3,
1,
2,
4,
4,
4,
3,
3,
3,
1,
1,
1,
4,
3,
0,
3,
4,
0,
3,
4,
4,
1,
1,
3,
3,
1,
0,
3,
0,
1,
3,
2,
2,
3,
2,
2,
1,
0,
2,
1,
1,
2,
3,
2,
4,
4,
0,
2,
4,
4,
0,
0,
1,
0,
4,
2,
4,
1,
2,
1,
2,
1,
1,
3,
0,
4,
2,
0,
2,
4,
1,
0,
1,
1,
2,
4,
4,
4,
3,
3,
3,
0,
1,
0,
0,
2,
0,
1,
1,
2,
3,
4,
3,
3,
3,
2,
4,
1,
1,
3,
0,
2,
2,
0,
1,
3,
3,
4,
4,
3,
3,
0,
3,
4,
2,
2,
4,
0,
4,
2,
0,
4,
4,
0,
4,
3,
4,
0,
2,
0,
0,
0,
2,
2,
0,
2,
2,
1,
4,
1,
2,
0,
1,
3,
4,
4,
3,
1,
0,
3,
1,
2,
0,
4,
0,
1,
0,
4,
1,
1,
2,
1,
3,
2,
4,
0,
2,
1,
0,
2,
4,
4,
3,
0,
2,
4,
2,
0,
3,
1,
1,
0,
1,
1,
3,
1,
4,
0,
1,
4,
3,
1,
2,
0,
1,
4,
2,
3,
2,
4,
2,
0,
2,
0,
1,
0,
2,
0,
0,
0,
4,
0,
1,
0,
0,
3,
0,
4,
2,
4,
4,
4,
4,
1,
4,
2,
3,
2,
2,
2,
1,
4,
2,
4,
0,
1,
3,
0,
4,
0,
0,
2,
4,
2,
3,
1,
3,
1,
4,
1,
1,
0,
0,
1,
0,
3,
4,
3,
2,
1,
2,
4,
0,
2,
0,
0,
2,
1,
2,
4,
2,
4,
2,
2,
1,
4,
0,
2,
3,
3,
3,
0,
3,
0,
1,
4,
3,
1,
0,
4,
4,
1,
1,
4,
4,
2,
1,
3,
0,
3,
4,
1,
0,
4,
2,
1,
2,
0,
3,
2,
0,
1,
1,
4,
4,
1,
1,
3,
0,
3,
0,
0,
3,
3,
3,
0,
3,
1,
0,
4,
0,
4,
0,
3,
1,
3,
1,
1,
1,
2,
3,
4,
3,
4,
4,
2,
4,
3,
0,
1,
4,
0,
2,
4,
1,
1,
1,
4,
4,
2,
0,
2,
3,
0,
2,
1,
0,
0,
2,
0,
1,
1,
3,
3,
3,
1,
1,
2,
4,
2,
4,
4,
2,
4,
2,
4,
1,
1,
4,
4,
4,
4,
2,
3,
4,
1,
4,
1,
1,
2,
4,
0,
4,
0,
2,
0,
3,
1,
4,
0,
3,
4,
3,
3,
0,
0,
1,
1,
0,
2,
1,
3,
4,
2,
2,
3,
0,
3,
4,
3,
3,
4,
1,
0,
2,
1,
1,
0,
1,
0,
1,
3,
3,
0,
3,
4,
4,
4,
0,
1,
0,
3,
2,
1,
0,
1,
1,
2,
1,
1,
0,
2,
1,
1,
4,
1,
0,
1,
1,
0,
0,
2,
1,
1,
4,
0,
2,
1,
0,
3,
4,
3,
4,
3,
2,
3,
1,
3,
1,
0,
3,
4,
0,
0,
2,
0,
1,
2,
4,
1,
4,
2,
2,
0,
1,
4,
4,
3,
4,
4,
1,
1,
3,
0,
2,
3,
4,
4,
1,
2,
2,
3,
1,
0,
3,
2,
4,
4,
4,
4,
1,
1,
3,
0,
1,
3,
2,
4,
0,
0,
2,
2,
1,
2,
1,
4,
0,
3,
1,
3,
2,
2,
2,
4,
0,
3,
1,
1,
3,
2,
3,
4,
1,
3,
2,
1,
1,
4,
4,
4,
0,
1,
3,
2,
2,
1,
2,
2,
0,
0,
4,
0,
1,
4,
0,
1,
0,
1,
2,
2,
0,
2,
3,
0,
4,
4,
3,
0,
0,
0,
2,
2,
3,
0,
2,
1,
1,
3,
1,
3,
3,
2,
4,
3,
2,
4,
4,
2,
3,
4,
4,
3,
2,
3,
1,
2,
2,
4,
2,
1,
2,
1,
0,
0,
1,
1,
0,
1,
2,
3,
3,
0,
1,
0,
1,
4,
1,
3,
2,
3,
2,
1,
4,
0,
2,
3,
0,
4,
4,
2,
4,
4,
0,
2,
4,
4,
3,
4,
2,
1,
4,
1,
3,
1,
1,
4,
4,
0,
4,
2,
4,
0,
1,
2,
4,
0,
3,
3,
1,
0,
1,
0,
1,
3,
1,
1,
3,
4,
3,
0,
2,
3,
4,
2,
2,
3,
3,
0,
0,
4,
0,
0,
4,
4,
0,
1,
1,
3,
0,
1,
1,
0,
3,
4,
4,
3,
1,
3,
4,
2,
2,
3,
4,
0,
3,
1,
4,
4,
1,
4,
1,
0,
0,
4,
2,
4,
3,
4,
4,
3,
4,
1,
3,
3,
0,
1,
4,
1,
0,
2,
4,
3,
1,
2,
0,
4,
1,
1,
1,
1,
0,
4,
2,
1,
0,
3,
2,
2,
2,
4,
4,
4,
1,
2,
4,
1,
4,
0,
3,
3,
4,
1,
1,
3,
4,
0,
2,
0,
0,
1,
4,
0,
3,
0,
4,
0,
3,
2,
1,
4,
2,
2,
0,
4,
2,
3,
4,
4,
0,
3,
4,
1,
4,
0,
0,
3,
0,
4,
2,
2,
0,
0,
3,
1,
2,
4,
0,
4,
2,
1,
3,
1,
3,
4,
1,
0,
2,
1,
4,
2,
0,
0,
2,
1,
0,
0,
4,
3,
1,
2,
4,
4,
1,
3,
3,
2,
2,
3,
2,
4,
2,
3,
4,
4,
3,
4,
0,
2,
1,
2,
1,
4,
4,
0,
2,
4,
3,
1,
1,
1,
4,
4,
3,
2,
1,
0,
4,
1,
0,
3,
4,
0,
3,
4,
1,
0,
3,
0,
1,
4,
1,
2,
2,
0,
0,
2,
2,
3,
1,
1,
0,
3,
0,
4,
0,
4,
0,
0,
1,
1,
1,
4,
1,
4,
2,
1,
4,
0,
1,
2,
4,
0,
0,
0,
3,
0,
2,
2,
1,
0,
1,
1,
2,
0,
1,
4,
4,
1,
0,
0,
0,
4,
2,
0,
0,
1,
1,
0,
1,
0,
3,
0,
1,
3,
2,
0,
2,
1,
4,
4,
1,
1,
3,
0,
0,
2,
4,
2,
0,
1,
4,
4,
4,
3,
3,
4,
4,
1,
3,
1,
2,
0,
4,
1,
1,
0,
2,
2,
4,
3,
1,
1,
4,
1,
1,
0,
2,
1,
0,
0,
3,
1,
3,
0,
2,
4,
2,
2,
4,
3,
2,
2,
4,
4,
0,
3,
0,
3,
4,
3,
1,
0,
1,
3,
2,
1,
4,
3,
4,
4,
4,
0,
4,
1,
2,
1,
4,
2,
2,
0,
0,
0,
4,
1,
3,
3,
4,
4,
1,
4,
2,
2,
2,
2,
2,
1,
2,
2,
3,
0,
3,
4,
0,
4,
4,
0,
1,
2,
4,
1,
3,
4,
2,
2,
2,
1,
2,
3,
1,
0,
3,
0,
1,
4,
0,
1,
4,
3,
1,
2,
0,
1,
3,
0,
1,
2,
1,
3,
2,
4,
3,
0,
4,
4,
2,
2,
4,
4,
2,
0,
0,
0,
3,
1,
2,
4,
0,
2,
2,
0,
1,
2,
2,
3,
4,
3,
2,
0,
1,
1,
1,
4,
0,
2,
3,
3,
1,
2,
4,
0,
0,
2,
0,
3,
2,
1,
4,
1,
3,
1,
3,
3,
1,
3,
0,
0,
1,
4,
2,
0,
3,
2,
1,
2,
4,
1,
1,
0,
0,
0,
2,
1,
2,
1,
4,
2,
0,
1,
1,
4,
0,
1,
3,
2,
1,
3,
1,
3,
2,
4,
2,
4,
4,
2,
3,
1,
0,
0,
1,
0,
1,
3,
1,
3,
4,
4,
0,
0,
2,
4,
4,
4,
2,
2,
1,
1,
2,
2,
3,
1,
0,
3,
3,
4,
0,
1,
1,
1,
2,
3,
2,
4,
2,
1,
3,
4,
4,
3,
2,
1,
0,
4,
1,
1,
1,
1,
1,
2,
3,
4,
4,
2,
2,
2,
3,
4,
1,
0,
1,
4,
1,
4,
3,
1,
4,
3,
3,
0,
4,
3,
1,
2,
2,
4,
4,
1,
2,
3,
1,
2,
3,
4,
2,
3,
0,
0,
4,
3,
1,
1,
2,
1,
0,
1,
2,
1,
0,
4,
0,
0,
4,
3,
0,
4,
3,
2,
2,
4,
4,
1,
3,
4,
0,
3,
4,
2,
3,
1,
1,
2,
3,
4,
2,
3,
3,
3,
4,
3,
1,
0,
0,
0,
4,
4,
1,
0,
1,
4,
3,
3,
4,
4,
1,
4,
0,
4,
3,
1,
4,
1,
4,
4,
0,
0,
0,
1,
2,
3,
4,
4,
2,
0,
0,
4,
2,
2,
0,
2,
3,
3,
0,
3,
2,
3,
3,
1,
1,
2,
0,
4,
1,
2,
0,
2,
0,
1,
0,
3,
2,
3,
1,
1,
1,
1,
2,
0,
3,
0,
1,
1,
2,
2,
0,
4,
4,
3,
0,
0,
3,
4,
2,
3,
2,
3,
4,
1,
2,
0,
2,
2,
2,
0,
1,
1,
3,
3,
1,
2,
2,
0,
1,
1,
4,
4,
4,
0,
4,
2,
4,
0,
2,
3,
2,
0,
1,
1,
0,
2,
2,
3,
0,
2,
2,
3,
3,
0,
3,
2,
0,
3,
2,
4,
3,
4,
2,
4,
2,
1,
4,
3,
3,
1,
2,
3,
1,
3,
1,
2,
1,
1,
3,
1,
0,
3,
3,
1,
0,
0,
3,
2,
3,
2,
1,
4,
2,
1,
1,
1,
2,
2,
0,
1,
0,
1,
0,
2,
2,
2,
1,
1,
0,
1,
3,
2,
1,
1,
2,
0,
2,
4,
3,
3,
3,
2,
1,
4,
2,
0,
1,
3,
1,
2,
0,
1,
3,
1,
0,
1,
4,
3,
4,
4,
3,
1,
2,
2,
0,
0,
0,
3,
2,
2,
4,
4,
4,
2,
3,
1,
4,
3,
2,
3,
2,
1,
3,
0,
0,
1,
4,
0,
3,
3,
1,
2,
3,
4,
0,
0,
4,
2,
3,
4,
0,
1,
4,
4,
2,
2,
2,
0,
2,
3,
2,
1,
2,
0,
1,
2,
4,
0,
3,
4,
3,
1,
2,
3,
3,
0,
0,
3,
0,
4,
4,
1,
2,
1,
0,
0,
4,
1,
3,
3,
0,
1,
0,
4,
1,
2,
1,
4,
4,
4,
2,
1,
4,
0,
4,
1,
4,
2,
1,
3,
3,
3,
1,
0,
0,
0,
0,
2,
0,
4,
4,
2,
4,
1,
4,
4,
3,
3,
3,
4,
2,
2,
1,
0,
1,
0,
1,
0,
2,
4,
2,
4,
0,
4,
0,
2,
1,
4,
1,
0,
3,
3,
2,
4,
2,
3,
1,
4,
4,
2,
1,
4,
3,
1,
0,
3,
1,
4,
0,
1,
0,
2,
2,
3,
2,
4,
3,
2,
0,
0,
1,
4,
1,
2,
1,
0,
1,
2,
4,
3,
1,
0,
3,
2,
3,
4,
2,
3,
2,
0,
4,
0,
3,
4,
3,
2,
4,
4,
2,
3,
3,
1,
0,
2,
2,
3,
4,
0,
3,
1,
1,
3,
3,
1,
2,
4,
3,
4,
1,
1,
2,
2,
4,
4,
3,
4,
3,
4,
0,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
3,
1,
3,
0,
3,
0,
2,
3,
1,
1,
1,
4,
2,
3,
2,
4,
2,
2,
1,
1,
4,
3,
1,
0,
4,
1,
3,
4,
4,
4,
1,
2,
3,
1,
2,
1,
3,
0,
2,
3,
2,
1,
4,
1,
2,
0,
3,
0,
0,
0,
4,
1,
3,
1,
0,
4,
4,
0,
0,
2,
0,
2,
2,
0,
3,
2,
2,
1,
3,
4,
4,
3,
4,
4,
0,
2,
0,
4,
1,
3,
2,
2,
3,
1,
3,
2,
3,
2,
2,
4,
1,
3,
2,
3,
3,
2,
2,
1,
4,
3,
3,
4,
4,
1,
0,
4,
1,
2,
1,
1,
4,
1,
2,
4,
4,
4,
3,
4,
1,
3,
2,
2,
3,
4,
2,
2,
1,
3,
4,
4,
3,
3,
1,
1,
3,
0,
1,
0,
4,
1,
2,
0,
3,
0,
4,
0,
2,
4,
4,
1,
4,
1,
1,
4,
4,
3,
1,
3,
4,
3,
1,
4,
0,
0,
0,
2,
2,
4,
1,
3,
2,
0,
0,
2,
3,
4,
4,
3,
2,
2,
2,
0,
1,
4,
3,
1,
2,
0,
0,
1,
3,
2,
2,
3,
1,
3,
0,
2,
0,
2,
2,
3,
3,
3,
4,
0,
2,
1,
2,
3,
0,
2,
0,
2,
4,
1,
1,
1,
1,
3,
0,
1,
1,
2,
1,
0,
0,
0,
0,
4,
2,
0,
0,
4,
2,
0,
3,
1,
1,
1,
3,
1,
1,
0,
2,
4,
4,
0,
2,
3,
2,
3,
2,
0,
4,
0,
4,
3,
1,
2,
1,
4,
1,
1,
1,
3,
4,
4,
1,
0,
2,
1,
1,
4,
1,
3,
3,
4,
0,
2,
2,
1,
1,
2,
0,
2,
0,
4,
3,
3,
3,
2,
1,
2,
4,
3,
0,
1,
2,
3,
3,
1,
2,
0,
3,
4,
1,
1,
0,
3,
3,
1,
4,
4,
3,
1,
1,
3,
3,
2,
3,
3,
2,
1,
4,
1,
3,
1,
0,
3,
1,
4,
1,
1,
1,
2,
2,
0,
3,
4,
1,
1,
0,
2,
2,
1,
0,
4,
2,
3,
2,
0,
4,
0,
0,
0,
0,
1,
3,
1,
2,
4,
0,
1,
1,
1,
0,
3,
2,
1,
4,
3,
4,
1,
4,
0,
0,
1,
2,
1,
4,
3,
0,
3,
1,
4,
4,
4,
1,
4,
1,
3,
3,
2,
1,
1,
0,
1,
1,
0,
2,
0,
2,
4,
1,
4,
0,
1,
0,
2,
0,
4,
0,
1,
3,
1,
4,
2,
4,
3,
0,
0,
2,
3,
2,
2,
1,
2,
2,
2,
4,
4,
3,
3,
2,
2,
2,
3,
4,
3,
4,
4,
1,
1,
2,
1,
3,
4,
4,
4,
3,
0,
1,
2,
4,
1,
1,
4,
4,
2,
4,
2,
2,
0,
1,
2,
2,
2,
3,
0,
3,
4,
0,
2,
1,
1,
4,
4,
3,
4,
0,
4,
0,
0,
4,
4,
1,
1,
2,
4,
1,
2,
1,
1,
0,
3,
3,
0,
2,
0,
3,
0,
2,
0,
0,
4,
4,
3,
1,
3,
1,
2,
3,
0,
0,
3,
1,
3,
1,
1,
0,
2,
2,
1,
2,
1,
2,
4,
1,
2,
3,
3,
2,
0,
4,
3,
0,
1,
0,
1,
0,
3,
0,
2,
4,
4,
0,
1,
4,
3,
3,
3,
3,
4,
3,
2,
4,
2,
1,
4,
0,
3,
1,
2,
4,
4,
2,
4,
2,
3,
2,
3,
2,
3,
0,
3,
1,
3,
0,
2,
4,
4,
2,
0,
0,
0,
4,
1,
0,
3,
3,
2,
1,
3,
3,
4,
2,
2,
1,
1,
0,
4,
3,
1,
4,
0,
2,
2,
4,
2,
3,
2,
0,
4,
1,
3,
4,
1,
0,
2,
2,
2,
0,
1,
1,
0,
2,
2,
3,
1,
1,
4,
2,
1,
3,
0,
0,
2,
3,
3,
2,
2,
4,
2,
3,
1,
2,
2,
1,
3,
1,
0,
3,
4,
4,
4,
1,
3,
2,
2,
1,
0,
0,
1,
2,
4,
3,
0,
4,
4,
4,
3,
0,
2,
1,
4,
0,
1,
3,
1,
4,
4,
3,
4,
0,
1,
2,
4,
4,
0,
1,
0,
2,
3,
4,
3,
2,
4,
1,
4,
1,
0,
0,
2,
1,
2,
2,
3,
2,
4,
1,
1,
0,
2,
2,
2,
2,
0,
2,
3,
3,
3,
1,
0,
2,
3,
2,
3,
0,
2,
0,
3,
4,
1,
0,
3,
0,
4,
2,
3,
3,
3,
4,
2,
0,
0,
2,
4,
1,
0,
3,
1,
1,
1,
3,
4,
2,
4,
3,
0,
4,
1,
0,
2,
4,
4,
0,
0,
3,
2,
3,
2,
2,
1,
1,
2,
2,
0,
3,
0,
1,
2,
1,
0,
0,
0,
2,
4,
1,
4,
2,
1,
2,
4,
3,
0,
3,
2,
0,
0,
1,
0,
0,
4,
4,
2,
4,
3,
3,
1,
0,
0,
0,
1,
0,
4,
0,
2,
1,
3,
3,
1,
0,
2,
3,
0,
1,
2,
4,
1,
3,
1,
3,
2,
0,
0,
4,
4,
4,
4,
1,
1,
0,
2,
3,
3,
3,
4,
1,
2,
1,
2,
3,
0,
0,
3,
1,
0,
2,
4,
2,
0,
1,
3,
4,
0,
3,
2,
2,
1,
0,
0,
2,
3,
2,
2,
4,
0,
0,
4,
0,
1,
4,
3,
3,
0,
0,
4,
2,
3,
2,
0,
2,
1,
4,
4,
2,
3,
2,
1,
4,
0,
2,
2,
2,
3,
1,
4,
3,
1,
4,
3,
2,
1,
4,
2,
0,
4,
4,
2,
2,
2,
1,
0,
2,
4,
0,
1,
2,
1,
3,
1,
0,
2,
4,
4,
4,
3,
3,
0,
0,
2,
4,
3,
2,
1,
0,
2,
2,
1,
0,
1,
2,
2,
0,
0,
2,
3,
3,
3,
1,
4,
0,
0,
3,
3,
0,
4,
3,
2,
1,
2,
3,
0,
4,
2,
1,
0,
4,
0,
4,
2,
3,
4,
3,
2,
4,
2,
1,
4,
2,
4,
0,
2,
1,
4,
3,
1,
1,
2,
0,
0,
2,
1,
0,
4,
3,
4,
0,
3,
0,
2,
4,
1,
3,
1,
2,
3,
1,
4,
1,
1,
1,
2,
0,
2,
1,
1,
0,
4,
0,
3,
4,
0,
1,
3,
1,
2,
3,
0,
0,
4,
3,
2,
3,
0,
1,
1,
1,
4,
0,
1,
3,
1,
2,
0,
3,
4,
1,
4,
1,
1,
3,
1,
1,
0,
4,
3,
0,
1,
4,
1,
0,
3,
1,
0,
3,
0,
0,
2,
0,
0,
1,
2,
4,
0,
3,
1,
1,
4,
2,
0,
1,
2,
4,
0,
2,
2,
1,
3,
2,
3,
3,
4,
2,
3,
0,
0,
4,
3,
0,
0,
3,
4,
1,
0,
0,
3,
0,
4,
2,
0,
0,
3,
3,
0,
4,
2,
2,
2,
2,
4,
0,
1,
4,
4,
0,
2,
1,
1,
3,
4,
1,
2,
1,
3,
1,
2,
1,
2,
1,
3,
1,
1,
4,
4,
3,
2,
1,
1,
1,
0,
2,
1,
3,
1,
0,
1,
2,
2,
2,
4,
4,
3,
1,
2,
1,
2,
3,
2,
3,
1,
1,
4,
4,
2,
1,
1,
2,
3,
3,
1,
1,
1,
1,
3,
0,
3,
4,
0,
3,
0,
2,
0,
4,
1,
3,
1,
1,
0,
0,
0,
4,
1,
0,
0,
0,
0,
0,
2,
4,
2,
2,
1,
1,
0,
1,
1,
2,
2,
4,
0,
4,
4,
2,
1,
2,
2,
4,
2,
1,
4,
2,
0,
0,
3,
3,
3,
3,
4,
1,
1,
2,
2,
1,
0,
2,
4,
0,
2,
4,
2,
3,
2,
2,
1,
0,
2,
4,
0,
0,
0,
2,
1,
0,
3,
1,
4,
4,
3,
1,
2,
3,
3,
2,
3,
2,
1,
4,
1,
4,
2,
2,
2,
1,
2,
2,
3,
1,
2,
0,
1,
0,
1,
1,
0,
1,
4,
4,
2,
3,
0,
1,
2,
4,
0,
0,
3,
3,
0,
3,
2,
2,
1,
2,
4,
0,
1,
4,
2,
2,
1,
2,
4,
4,
0,
3,
0,
2,
0,
4,
3,
4,
3,
1,
0,
3,
3,
2,
0,
3,
3,
0,
0,
4,
2,
4,
3,
0,
0,
0,
3,
2,
4,
1,
1,
3,
2,
1,
1,
0,
2,
2,
2,
4,
0,
4,
2,
1,
4,
3,
0,
0,
0,
4,
4,
4,
0,
3,
2,
4,
3,
4,
0,
1,
3,
3,
4,
4,
1,
4,
2,
0,
0,
3,
4,
4,
3,
4,
2,
2,
4,
3,
2,
1,
3,
4,
1,
1,
1,
1,
0,
3,
1,
4,
3,
2,
2,
0,
2,
0,
3,
3,
0,
1,
4,
1,
1,
2,
4,
0,
3,
4,
3,
3,
4,
4,
1,
0,
0,
3,
2,
1,
4,
3,
0,
2,
4,
0,
4,
2,
2,
1,
4,
0,
0,
2,
1,
0,
4,
0,
4,
0,
2,
1,
0,
0,
1,
1,
1,
1,
2,
4,
0,
3,
2,
4,
0,
0,
2,
0,
1,
4,
2,
3,
3,
1,
3,
1,
1,
2,
0,
4,
3,
0,
3,
1,
2,
3,
2,
0,
2,
2,
4,
0,
1,
0,
1,
0,
1,
4,
2,
4,
3,
2,
1,
2,
3,
2,
3,
1,
0,
2,
4,
2,
1,
2,
2,
1,
1,
1,
2,
0,
3,
4,
1,
3,
4,
4,
0,
2,
1,
4,
1,
0,
3,
0,
0,
4,
2,
4,
3,
2,
4,
2,
1,
1,
4,
4,
4,
1,
2,
4,
0,
1,
1,
0,
2,
2,
4,
1,
1,
0,
2,
4,
0,
0,
1,
4,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
1,
1,
0,
4,
0,
4,
3,
1,
1,
1,
2,
4,
3,
4,
4,
2,
4,
2,
4,
2,
2,
0,
3,
1,
0,
3,
0,
1,
1,
2,
4,
0,
4,
2,
1,
1,
4,
2,
4,
1,
0,
0,
3,
3,
1,
2,
2,
1,
0,
4,
3,
0,
3,
1,
4,
0,
1,
0,
3,
1,
4,
4,
0,
1,
2,
0,
3,
2,
1,
2,
2,
2,
0,
4,
0,
4,
2,
2,
1,
3,
0,
4,
2,
4,
0,
4,
0,
1,
1,
1,
2,
4,
4,
3,
3,
3,
3,
0,
3,
4,
2,
0,
1,
4,
0,
2,
1,
4,
3,
1,
1,
4,
0,
2,
1,
2,
2,
4,
2,
2,
3,
1,
0,
3,
2,
4,
4,
3,
3,
0,
4,
1,
1,
3,
2,
4,
3,
1,
2,
4,
1,
1,
1,
1,
1,
2,
1,
0,
1,
2,
4,
4,
2,
1,
4,
3,
1,
2,
3,
4,
4,
3,
4,
2,
2,
0,
2,
4,
2,
4,
3,
0,
0,
2,
4,
4,
2,
0,
1,
1,
1,
3,
3,
2,
2,
3,
1,
2,
2,
1,
3,
3,
1,
4,
1,
1,
1,
1,
0,
2,
0,
2,
2,
4,
2,
3,
2,
1,
2,
1,
1,
0,
1,
4,
3,
1,
4,
0,
0,
1,
4,
4,
1,
1,
4,
4,
3,
1,
4,
0,
1,
0,
4,
3,
2,
1,
0,
2,
3,
1,
4,
4,
3,
0,
2,
2,
0,
3,
2,
3,
0,
4,
4,
4,
4,
1,
0,
1,
2,
3,
3,
2,
2,
4,
3,
3,
0,
4,
3,
0,
4,
0,
1,
0,
1,
1,
3,
4,
0,
4,
3,
2,
3,
3,
1,
4,
3,
2,
3,
1,
0,
1,
0,
1,
4,
0,
0,
4,
1,
2,
4,
3,
3,
3,
4,
1,
4,
4,
3,
2,
3,
2,
0,
2,
4,
1,
4,
4,
1,
0,
0,
2,
0,
3,
0,
4,
4,
0,
4,
1,
2,
4,
3,
1,
3,
1,
2,
1,
2,
4,
2,
2,
1,
4,
4,
3,
3,
2,
3,
4,
3,
4,
1,
2,
1,
2,
2,
4,
3,
3,
0,
1,
0,
3,
0,
2,
3,
1,
2,
4,
1,
2,
0,
1,
1,
0,
2,
0,
0,
2,
0,
4,
4,
2,
1,
1,
3,
0,
0,
0,
0,
3,
0,
0,
1,
3,
2,
2,
1,
1,
3,
4,
0,
3,
3,
0,
1,
3,
1,
4,
3,
2,
0,
2,
2,
2,
0,
2,
1,
0,
1,
3,
4,
2,
4,
4,
4,
2,
1,
3,
2,
2,
3,
4,
4,
4,
3,
4,
4,
0,
2,
4,
2,
0,
0,
3,
4,
4,
0,
0,
1,
1,
4,
3,
0,
0,
4,
4,
3,
1,
3,
3,
1,
0,
0,
2,
1,
2,
3,
1,
1,
0,
4,
4,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
2,
4,
3,
0,
0,
1,
0,
2,
0,
1,
1,
2,
2,
2,
1,
1,
2,
1,
3,
2,
0,
2,
3,
1,
0,
1,
3,
1,
1,
2,
2,
0,
3,
3,
3,
2,
2,
0,
2,
0,
4,
3,
4,
4,
0,
4,
2,
2,
2,
2,
4,
0,
1,
4,
3,
1,
0,
3,
0,
0,
3,
2,
0,
0,
0,
3,
2,
3,
0,
1,
3,
1,
0,
1,
2,
0,
4,
4,
0,
1,
3,
3,
3,
1,
3,
1,
3,
2,
2,
4,
2,
1,
1,
2,
1,
3,
4,
1,
4,
4,
3,
4,
0,
3,
4,
1,
2,
4,
3,
0,
3,
3,
2,
1,
4,
2,
3,
0,
3,
4,
3,
3,
3,
3,
2,
0,
4,
1,
4,
2,
0,
2,
1,
0,
0,
0,
2,
4,
1,
4,
3,
0,
2,
0,
4,
3,
4,
4,
1,
4,
0,
1,
0,
0,
0,
3,
4,
3,
2,
4,
1,
4,
4,
4,
3,
1,
1,
0,
2,
4,
3,
3,
4,
1,
0,
3,
2,
0,
1,
0,
0,
4,
0,
0,
0,
1,
3,
0,
1,
0,
2,
0,
1,
2,
3,
0,
0,
3,
0,
1,
4,
4,
4,
3,
4,
4,
3,
4,
3,
3,
2,
3,
4,
0,
1,
1,
2,
2,
0,
1,
4,
0,
4,
3,
2,
2,
2,
1,
2,
2,
4,
4,
0,
1,
2,
1,
3,
4,
4,
0,
1,
4,
4,
4,
2,
2,
2,
2,
2,
1,
3,
3,
1,
0,
1,
0,
0,
4,
2,
4,
4,
0,
0,
3,
3,
1,
1,
3,
2,
2,
2,
4,
2,
4,
4,
4,
0,
1,
4,
1,
4,
1,
0,
0,
3,
4,
0,
0,
3,
4,
3,
1,
2,
2,
2,
3,
3,
0,
2,
4,
2,
0,
2,
2,
1,
1,
3,
2,
0,
0,
4,
2,
3,
0,
0,
4,
4,
2,
1,
1,
3,
0,
1,
2,
2,
4,
2,
1,
4,
3,
1,
0,
1,
4,
2,
3,
0,
4,
0,
4,
0,
4,
4,
2,
2,
0,
1,
1,
2,
3,
3,
0,
4,
2,
0,
3,
1,
0,
0,
4,
4,
2,
2,
0,
0,
4,
0,
0,
2,
0,
0,
4,
3,
1,
3,
4,
0,
1,
0,
1,
3,
3,
4,
2,
1,
2,
1,
1,
0,
3,
4,
3,
1,
3,
4,
1,
2,
3,
2,
2,
1,
3,
3,
0,
3,
0,
0,
3,
2,
0,
4,
2,
0,
0,
1,
1,
3,
3,
4,
4,
1,
3,
2,
1,
1,
3,
4,
3,
0,
3,
1,
2,
4,
0,
3,
2,
4,
4,
1,
4,
1,
1,
3,
4,
2,
1,
2,
3,
1,
2,
2,
4,
3,
4,
0,
3,
3,
1,
0,
1,
3,
4,
4,
0,
0,
4,
4,
0,
1,
0,
1,
0,
3,
0,
4,
0,
3,
0,
4,
2,
4,
0,
0,
2,
4,
1,
1,
0,
1,
2,
4,
0,
0,
3,
2,
4,
3,
3,
3,
4,
1,
1,
4,
3,
4,
1,
4,
1,
4,
0,
1,
3,
2,
1,
3,
4,
2,
4,
3,
1,
0,
1,
0,
0,
0,
3,
2,
2,
3,
0,
4,
2,
4,
4,
0,
3,
4,
4,
0,
1,
1,
3,
3,
1,
2,
0,
2,
2,
4,
4,
1,
1,
3,
1,
2,
2,
1,
2,
1,
2,
1,
2,
3,
1,
1,
3,
3,
2,
1,
0,
4,
0,
2,
4,
2,
0,
4,
3,
1,
4,
0,
3,
0,
4,
4,
0,
0,
4,
2,
4,
1,
1,
1,
4,
1,
4,
2,
0,
1,
4,
2,
1,
4,
0,
2,
2,
0,
2,
1,
4,
3,
1,
3,
1,
3,
2,
1,
4,
0,
3,
2,
0,
0,
4,
2,
2,
2,
4,
2,
3,
2,
4,
1,
1,
1,
1,
4,
4,
4,
0,
1,
0,
1,
1,
0,
1,
4,
0,
3,
1,
0,
2,
4,
0,
1,
1,
4,
1,
0,
0,
2,
0,
2,
1,
4,
0,
1,
0,
3,
0,
2,
4,
0,
3,
3,
2,
4,
2,
2,
4,
0,
3,
4,
4,
2,
1,
4,
4,
0,
2,
2,
3,
1,
1,
0,
4,
1,
4,
1,
3,
1,
3,
3,
1,
1,
0,
4,
3,
1,
0,
4,
4,
4,
2,
2,
3,
2,
0,
0,
2,
4,
4,
1,
2,
2,
3,
4,
0,
1,
3,
1,
0,
4,
3,
4,
2,
1,
2,
0,
0,
0,
1,
4,
2,
1,
2,
3,
0,
4,
0,
3,
4,
0,
3,
3,
3,
0,
1,
1,
4,
2,
4,
2,
4,
1,
2,
1,
3,
3,
1,
1,
1,
3,
0,
3,
3,
2,
2,
4,
0,
4,
1,
3,
4,
2,
0,
2,
2,
0,
4,
2,
1,
1,
3,
4,
2,
0,
3,
3,
0,
2,
4,
4,
0,
1,
2,
3,
4,
4,
3,
2,
1,
2,
3,
3,
2,
1,
2,
2,
4,
4,
4,
3,
0,
3,
2,
4,
3,
0,
1,
4,
4,
0,
2,
4,
4,
1,
2,
4,
2,
3,
0,
2,
1,
3,
3,
4,
0,
0,
1,
4,
4,
2,
3,
0,
2,
2,
1,
3,
4,
0,
2,
4,
1,
3,
1,
2,
3,
1,
4,
4,
3,
4,
1,
1,
2,
4,
4,
1,
1,
2,
4,
2,
1,
1,
3,
3,
3,
4,
3,
1,
2,
4,
1,
4,
2,
2,
4,
0,
1,
3,
2,
4,
4,
4,
4,
1,
4,
4,
1,
4,
0,
1,
3,
1,
0,
3,
1,
0,
3,
3,
0,
3,
1,
2,
4,
0,
1,
4,
4,
0,
1,
0,
1,
4,
1,
3,
3,
4,
2,
0,
1,
4,
3,
2,
3,
1,
4,
4,
3,
2,
0,
1,
4,
2,
3,
2,
4,
4,
2,
4,
3,
2,
0,
3,
0,
2,
1,
2,
1,
1,
3,
2,
2,
4,
1,
4,
0,
4,
2,
0,
0,
2,
1,
2,
0,
2,
4,
2,
4,
2,
1,
2,
3,
2,
4,
2,
3,
3,
4,
4,
4,
3,
0,
0,
4,
0,
1,
0,
1,
2,
0,
1,
0,
3,
1,
4,
0,
1,
4,
4,
0,
2,
3,
4,
4,
1,
3,
3,
1,
3,
2,
4,
4,
0,
1,
3,
1,
2,
3,
2,
3,
3,
0,
1,
4,
1,
2,
4,
4,
0,
4,
3,
3,
2,
3,
4,
3,
0,
0,
3,
3,
4,
4,
4,
2,
2,
2,
4,
1,
3,
0,
1,
2,
4,
1,
2,
0,
4,
0,
4,
0,
4,
0,
0,
0,
1,
2,
3,
0,
4,
1,
3,
1,
3,
3,
0,
1,
2,
1,
1,
0,
2,
3,
3,
3,
1,
3,
1,
4,
1,
0,
0,
0,
1,
0,
3,
1,
3,
2,
2,
4,
4,
0,
1,
1,
2,
4,
1,
0,
4,
4,
4,
2,
4,
4,
1,
4,
0,
3,
3,
3,
4,
4,
4,
1,
4,
3,
1,
0,
4,
3,
2,
4,
0,
2,
0,
2,
4,
2,
2,
0,
1,
4,
4,
3,
2,
2,
0,
0,
4,
4,
3,
3,
1,
1,
1,
2,
2,
1,
0,
3,
4,
4,
0,
3,
1,
2,
3,
1,
2,
0,
3,
2,
3,
1,
4,
2,
1,
4,
3,
4,
3,
3,
1,
3,
4,
3,
4,
1,
4,
0,
0,
4,
4,
3,
1,
4,
3,
4,
0,
2,
2,
0,
1,
4,
3,
2,
3,
3,
4,
1,
3,
3,
4,
0,
4,
1,
3,
0,
3,
2,
3,
4,
3,
2,
2,
1,
0,
3,
2,
3,
0,
2,
4,
4,
1,
1,
4,
2,
2,
0,
2,
0,
4,
1,
4,
4,
4,
1,
2,
4,
1,
2,
1,
2,
2,
4,
0,
0,
2,
0,
4,
4,
2,
0,
2,
3,
2,
2,
4,
0,
1,
2,
3,
3,
2,
1,
2,
0,
2,
1,
3,
3,
4,
2,
2,
1,
1,
0,
1,
2,
4,
4,
4,
0,
0,
4,
4,
3,
2,
0,
4,
4,
4,
1,
2,
4,
3,
1,
1,
4,
3,
0,
3,
1,
1,
0,
4,
0,
2,
4,
3,
0,
2,
1,
3,
1,
2,
4,
4,
1,
3,
1,
1,
0,
0,
1,
1,
0,
3,
2,
1,
3,
2,
2,
2,
4,
2,
4,
1,
3,
4,
3,
4,
3,
3,
0,
2,
1,
0,
1,
1,
2,
2,
4,
2,
1,
1,
2,
4,
4,
4,
3,
4,
3,
2,
2,
4,
2,
2,
0,
1,
1,
2,
2,
2,
1,
1,
3,
3,
3,
0,
2,
2,
2,
4,
4,
1,
4,
2,
3,
1,
2,
1,
4,
4,
4,
4,
1,
4,
1,
2,
0,
4,
0,
0,
3,
4,
4,
1,
0,
4,
3,
0,
1,
0,
2,
4,
1,
1,
2,
1,
0,
1,
4,
2,
0,
1,
3,
0,
0,
3,
4,
0,
2,
1,
4,
0,
2,
3,
3,
0,
3,
1,
4,
3,
4,
4,
2,
3,
4,
2,
1,
1,
1,
2,
3,
2,
1,
2,
3,
0,
2,
3,
2,
1,
2,
1,
4,
2,
3,
1,
4,
1,
0,
1,
3,
0,
2,
1,
4,
4,
1,
0,
2,
3,
1,
0,
3,
2,
0,
4,
4,
3,
2,
4,
4,
0,
3,
0,
3,
1,
3,
0,
0,
1,
1,
1,
3,
0,
1,
3,
4,
4,
2,
0,
4,
0,
4,
1,
0,
1,
2,
4,
3,
1,
3,
0,
3,
4,
0,
0,
2,
4,
4,
2,
2,
4,
3,
0,
0,
3,
4,
1,
4,
0,
0,
2,
2,
3,
0,
4,
1,
1,
0,
0,
2,
1,
4,
1,
2,
2,
2,
4,
0,
4,
1,
4,
1,
4,
0,
3,
1,
0,
3,
1,
3,
3,
1,
2,
1,
2,
2,
4,
3,
3,
1,
1,
0,
1,
2,
2,
0,
3,
3,
0,
3,
0,
0,
0,
0,
4,
4,
2,
3,
0,
4,
0,
3,
1,
2,
0,
1,
4,
1,
0,
4,
1,
4,
3,
3,
0,
3,
3,
1,
2,
4,
2,
3,
1,
3,
1,
0,
3,
2,
0,
1,
0,
1,
2,
0,
1,
3,
2,
3,
3,
2,
1,
2,
1,
3,
4,
2,
1,
2,
4,
3,
0,
1,
1,
3,
4,
1,
4,
4,
3,
2,
3,
2,
4,
0,
2,
4,
1,
1,
3,
0,
1,
0,
1,
2,
1,
3,
1,
1,
2,
3,
4,
0,
1,
3,
1,
1,
4,
3,
1,
3,
4,
3,
0,
4,
2,
0,
2,
2,
2,
0,
4,
0,
4,
2,
0,
1,
2,
3,
0,
0,
0,
0,
0,
3,
4,
4,
3,
4,
2,
2,
4,
0,
2,
0,
2,
4,
2,
2,
2,
0,
0,
0,
3,
0,
2,
4,
0,
3,
4,
4,
2,
4,
1,
4,
0,
2,
1,
2,
1,
3,
3,
0,
4,
1,
3,
1,
0,
0,
4,
1,
2,
0,
4,
2,
2,
4,
0,
3,
1,
1,
1,
3,
3,
1,
0,
4,
0,
2,
3,
4,
2,
0,
2,
0,
3,
0,
1,
0,
1,
3,
4,
2,
0,
0,
2,
3,
3,
1,
4,
2,
3,
2,
0,
4,
3,
4,
1,
4,
2,
3,
0,
4,
4,
2,
3,
1,
2,
2,
0,
0,
0,
4,
2,
0,
1,
3,
0,
0,
0,
0,
4,
0,
1,
1,
2,
0,
3,
3,
3,
4,
2,
3,
1,
0,
2,
1,
0,
0,
2,
4,
3,
0,
1,
0,
0,
4,
1,
0,
0,
2,
2,
2,
4,
3,
3,
2,
0,
0,
4,
2,
4,
2,
2,
4,
2,
1,
3,
0,
3,
1,
1,
4,
3,
4,
1,
3,
3,
0,
1,
2,
3,
1,
3,
4,
0,
2,
2,
2,
1,
1,
0,
2,
2,
0,
3,
4,
2,
3,
4,
2,
0,
3,
4,
2,
3,
0,
3,
3,
2,
0,
2,
1,
4,
0,
3,
0,
0,
0,
1,
0,
0,
4,
0,
4,
3,
3,
1,
3,
0,
0,
0,
0,
1,
4,
4,
0,
2,
0,
1,
2,
1,
2,
3,
2,
0,
2,
3,
2,
0,
1,
1,
3,
0,
3,
0,
2,
3,
4,
3,
4,
0,
0,
4,
3,
0,
2,
1,
2,
2,
0,
2,
1,
0,
2,
3,
3,
3,
3,
2,
3,
2,
1,
3,
4,
3,
2,
2,
0,
3,
3,
1,
2,
2,
1,
0,
3,
4,
4,
0,
0,
1,
1,
0,
1,
1,
4,
4,
3,
2,
2,
0,
0,
3,
2,
3,
4,
1,
1,
3,
3,
1,
1,
4,
1,
2,
4,
2,
3,
0,
2,
2,
1,
0,
4,
2,
2,
4,
0,
1,
2,
1,
3,
3,
3,
0,
2,
2,
3,
4,
1,
0,
4,
2,
0,
3,
2,
2,
0,
2,
1,
3,
4,
1,
3,
4,
3,
3,
0,
0,
3,
2,
3,
1,
0,
0,
4,
3,
3,
2,
4,
2,
0,
0,
3,
4,
4,
0,
4,
0,
2,
0,
4,
1,
2,
0,
1,
4,
1,
3,
1,
4,
0,
0,
0,
0,
1,
1,
4,
0,
1,
1,
2,
0,
0,
1,
0,
2,
2,
0,
4,
2,
2,
0,
1,
0,
4,
2,
4,
1,
3,
4,
4,
3,
3,
3,
2,
0,
1,
0,
1,
1,
4,
2,
4,
3,
2,
0,
4,
1,
0,
4,
1,
0,
2,
1,
4,
2,
3,
1,
2,
3,
2,
1,
2,
0,
3,
2,
4,
4,
2,
1,
1,
0,
4,
2,
0,
3,
1,
4,
4,
1,
1,
0,
0,
4,
0,
2,
2,
1,
0,
0,
2,
2,
4,
1,
2,
4,
1,
1,
2,
3,
4,
4,
4,
0,
1,
1,
1,
2,
2,
4,
2,
2,
4,
3,
4,
4,
0,
0,
2,
2,
4,
4,
2,
4,
1,
2,
1,
2,
2,
0,
2,
1,
0,
0,
0,
1,
3,
2,
0,
1,
4,
1,
1,
1,
4,
3,
4,
0,
0,
1,
2,
3,
3,
4,
3,
3,
0,
0,
4,
1,
3,
0,
1,
2,
0,
1,
0,
4,
1,
4,
1,
1,
0,
0,
4,
4,
1,
3,
0,
4,
0,
3,
2,
4,
3,
1,
4,
4,
2,
3,
4,
4,
4,
2,
3,
4,
0,
0,
1,
1,
1,
3,
3,
3,
2,
4,
3,
1,
1,
4,
1,
3,
0,
3,
0,
0,
4,
3,
0,
1,
0,
1,
4,
1,
2,
0,
1,
3,
2,
3,
2,
0,
2,
1,
0,
2,
0,
3,
3,
3,
2,
3,
3,
1,
4,
4,
4,
2,
2,
0,
0,
0,
1,
2,
4,
0,
4,
3,
0,
0,
0,
1,
4,
1,
1,
3,
3,
1,
1,
2,
0,
3,
0,
3,
0,
2,
3,
1,
2,
0,
3,
4,
4,
4,
1,
4,
0,
4,
2,
3,
4,
1,
1,
3,
4,
4,
1,
1,
0,
3,
3,
2,
2,
4,
4,
3,
1,
3,
2,
3,
2,
2,
2,
3,
3,
1,
3,
3,
2,
4,
2,
2,
4,
2,
4,
1,
3,
1,
3,
4,
4,
3,
3,
3,
2,
0,
2,
3,
1,
2,
3,
3,
0,
0,
3,
2,
3,
3,
3,
1,
3,
1,
0,
4,
4,
3,
4,
4,
0,
1,
4,
3,
2,
0,
4,
0,
3,
0,
2,
4,
1,
1,
0,
1,
1,
0,
2,
0,
4,
4,
4,
4,
2,
2,
4,
3,
4,
2,
3,
4,
0,
4,
2,
3,
3,
2,
3,
2,
3,
2,
1,
1,
4,
0,
0,
4,
0,
4,
1,
0,
0,
2,
0,
1,
2,
4,
1,
1,
3,
1,
0,
1,
2,
2,
3,
4,
3,
3,
3,
4,
1,
0,
1,
1,
2,
0,
1,
3,
0,
0,
3,
1,
2,
3,
4,
2,
4,
1,
2,
4,
0,
3,
3,
1,
3,
1,
4,
3,
0,
4,
2,
2,
1,
1,
3,
0,
2,
0,
0,
0,
2,
3,
2,
0,
3,
3,
4,
2,
3,
1,
2,
1,
0,
1,
1,
0,
4,
3,
1,
0,
3,
1,
4,
0,
2,
3,
0,
1,
2,
1,
1,
2,
1,
3,
2,
1,
4,
1,
0,
2,
1,
1,
3,
1,
4,
1,
1,
2,
0,
4,
3,
3,
4,
0,
1,
3,
2,
3,
2,
1,
4,
4,
3,
3,
2,
2,
1,
2,
2,
1,
1,
0,
3,
0,
3,
2,
4,
4,
3,
3,
2,
1,
2,
3,
3,
0,
2,
4,
3,
1,
1,
0,
4,
0,
1,
0,
4,
0,
1,
3,
2,
1,
1,
1,
0,
0,
0,
0,
2,
1,
4,
2,
1,
1,
4,
4,
3,
1,
4,
2,
3,
2,
0,
2,
4,
3,
4,
1,
4,
3,
2,
2,
1,
4,
4,
4,
4,
3,
3,
2,
4,
0,
4,
2,
3,
1,
1,
3,
2,
3,
2,
1,
4,
4,
4,
4,
1,
3,
2,
1,
4,
3,
2,
4,
0,
3,
0,
2,
0,
3,
1,
3,
0,
3,
0,
4,
1,
4,
0,
2,
3,
1,
4,
2,
3,
0,
4,
1,
1,
0,
1,
2,
1,
4,
4,
2,
0,
1,
3,
0,
1,
3,
2,
1,
3,
3,
0,
3,
2,
4,
2,
1,
2,
4,
0,
1,
3,
4,
0,
3,
4,
0,
2,
3,
3,
0,
3,
4,
3,
0,
1,
2,
2,
4,
3,
2,
3,
2,
4,
4,
0,
1,
2,
2,
0,
1,
4,
1,
3,
3,
2,
0,
4,
1,
3,
2,
0,
0,
0,
4,
3,
0,
2,
0,
2,
1,
1,
4,
1,
3,
3,
2,
3,
0,
1,
2,
4,
1,
1,
2,
2,
0,
4,
3,
2,
1,
0,
1,
3,
1,
4,
2,
3,
3,
1,
0,
0,
1,
4,
4,
3,
4,
3,
4,
1,
3,
1,
0,
4,
1,
1,
0,
2,
2,
3,
2,
1,
3,
0,
4,
0,
3,
1,
2,
0,
3,
0,
1,
2,
1,
3,
3,
0,
4,
3,
2,
3,
3,
0,
2,
2,
3,
1,
1,
0,
2,
3,
0,
3,
3,
3,
1,
3,
4,
3,
0,
3,
1,
2,
2,
3,
3,
4,
3,
1,
2,
3,
0,
0,
1,
2,
3,
1,
1,
1,
2,
3,
2,
0,
0,
0,
0,
2,
2,
0,
3,
4,
0,
3,
2,
1,
0,
2,
2,
3,
0,
2,
3,
3,
4,
1,
3,
3,
1,
1,
2,
3,
0,
1,
4,
0,
1,
3,
4,
3,
1,
4,
1,
1,
4,
3,
3,
4,
0,
4,
0,
0,
0,
1,
1,
2,
3,
3,
3,
2,
2,
4,
1,
2,
3,
1,
4,
3,
0,
2,
0,
2,
0,
0,
4,
3,
0,
1,
3,
4,
1,
2,
4,
4,
3,
4,
1,
1,
2,
2,
3,
0,
2,
2,
3,
2,
3,
1,
0,
1,
0,
0,
4,
3,
1,
0,
4,
0,
0,
0,
0,
1,
3,
3,
2,
4,
2,
0,
1,
0,
4,
4,
0,
4,
3,
1,
0,
4,
3,
0,
3,
0,
4,
0,
4,
2,
2,
2,
1,
0,
1,
0,
2,
3,
4,
3,
4,
4,
3,
1,
4,
2,
1,
3,
0,
4,
0,
4,
0,
3,
3,
2,
0,
1,
2,
0,
4,
3,
3,
2,
4,
1,
3,
0,
3,
1,
3,
3,
1,
2,
1,
2,
3,
3,
1,
0,
0,
4,
4,
0,
1,
2,
1,
0,
0,
4,
0,
0,
4,
2,
1,
2,
2,
4,
4,
2,
0,
1,
1,
4,
3,
1,
4,
1,
1,
3,
2,
3,
4,
3,
2,
3,
4,
1,
0,
4,
4,
0,
0,
1,
1,
4,
2,
3,
3,
2,
3,
0,
4,
4,
2,
4,
4,
2,
1,
4,
3,
4,
4,
2,
2,
2,
0,
2,
2,
0,
2,
1,
4,
3,
4,
3,
2,
0,
0,
2,
2,
3,
4,
4,
0,
4,
2,
1,
2,
4,
1,
3,
2,
0,
1,
0,
0,
2,
3,
3,
4,
3,
0,
2,
0,
3,
2,
2,
4,
0,
2,
3,
0,
1,
2,
3,
2,
3,
1,
3,
2,
4,
0,
4,
1,
2,
4,
1,
2,
4,
0,
1,
2,
1,
0,
4,
2,
3,
4,
3,
4,
1,
3,
4,
0,
3,
1,
4,
4,
3,
2,
2,
0,
0,
3,
4,
3,
4,
4,
2,
2,
2,
1,
0,
2,
1,
3,
3,
4,
1,
4,
0,
0,
4,
4,
0,
3,
1,
4,
3,
2,
0,
2,
1,
1,
1,
4,
4,
4,
0,
4,
3,
0,
0,
3,
4,
2,
0,
3,
1,
3,
3,
0,
4,
4,
2,
2,
3,
2,
3,
3,
0,
1,
3,
3,
1,
4,
2,
2,
2,
0,
4,
2,
4,
0,
4,
4,
3,
0,
1,
1,
0,
1,
3,
2,
2,
4,
4,
4,
0,
0,
3,
3,
3,
0,
0,
1,
4,
0,
3,
2,
3,
1,
1,
0,
0,
2,
0,
4,
0,
3,
1,
4,
3,
3,
0,
2,
1,
2,
4,
0,
1,
2,
4,
3,
4,
0,
2,
1,
2,
2,
3,
0,
4,
3,
0,
0,
2,
3,
3,
4,
2,
3,
1,
0,
4,
4,
4,
2,
2,
0,
1,
2,
4,
0,
0,
2,
0,
2,
2,
2,
4,
4,
4,
4,
1,
1,
3,
2,
1,
0,
1,
1,
4,
4,
3,
2,
0,
2,
2,
1,
4,
4,
4,
1,
1,
0,
2,
1,
3,
4,
0,
3,
0,
3,
1,
3,
4,
4,
4,
3,
3,
0,
3,
1,
1,
4,
0,
3,
0,
2,
3,
4,
4,
1,
2,
1,
4,
1,
2,
1,
1,
1,
0,
2,
4,
4,
2,
4,
0,
3,
4,
2,
0,
1,
1,
3,
2,
2,
3,
3,
2,
1,
1,
1,
3,
1,
1,
1,
2,
3,
0,
0,
2,
3,
2,
0,
0,
2,
1,
1,
0,
0,
0,
4,
4,
2,
2,
3,
3,
4,
0,
0,
0,
4,
0,
3,
3,
1,
4,
3,
2,
1,
0,
3,
0,
3,
0,
1,
3,
0,
3,
4,
0,
2,
0,
0,
3,
4,
3,
4,
1,
3,
1,
4,
3,
4,
0,
3,
4,
0,
0,
0,
4,
0,
1,
0,
2,
4,
0,
2,
0,
4,
1,
1,
1,
4,
0,
3,
1,
3,
3,
2,
2,
0,
1,
0,
4,
1,
3,
1,
0,
0,
1,
1,
0,
2,
4,
0,
1,
2,
0,
2,
4,
3,
0,
2,
1,
0,
2,
1,
1,
2,
1,
4,
4,
1,
3,
0,
4,
3,
4,
0,
3,
2,
3,
0,
3,
2,
4,
2,
3,
3,
4,
4,
3,
3,
3,
1,
1,
2,
3,
0,
1,
0,
1,
1,
4,
1,
2,
1,
1,
0,
0,
1,
0,
4,
0,
1,
2,
2,
2,
0,
2,
4,
0,
3,
4,
1,
3,
3,
4,
0,
1,
1,
1,
0,
1,
2,
2,
3,
2,
4,
1,
0,
4,
1,
0,
1,
1,
2,
4,
2,
2,
4,
4,
2,
1,
0,
3,
1,
2,
0,
1,
3,
0,
0,
2,
3,
3,
3,
1,
0,
4,
0,
3,
2,
1,
0,
4,
4,
2,
1,
4,
1,
3,
3,
4,
4,
2,
4,
3,
1,
4,
4,
1,
2,
2,
4,
3,
3,
2,
1,
4,
4,
0,
4,
4,
3,
3,
3,
3,
4,
0,
1,
1,
2,
4,
1,
1,
4,
4,
3,
4,
4,
4,
2,
2,
0,
2,
0,
3,
3,
4,
2,
1,
2,
0,
3,
2,
0,
4,
4,
4,
2,
0,
2,
0,
1,
0,
1,
0,
0,
4,
0,
2,
3,
2,
2,
4,
3,
4,
1,
4,
1,
2,
1,
4,
4,
4,
2,
0,
1,
0,
2,
1,
1,
1,
2,
1,
2,
2,
3,
0,
0,
3,
4,
1,
3,
4,
1,
4,
0,
4,
3,
0,
4,
3,
2,
0,
3,
4,
4,
4,
3,
4,
0,
2,
2,
0,
0,
3,
0,
4,
4,
4,
3,
0,
2,
0,
3,
0,
0,
0,
3,
2,
3,
3,
1,
2,
2,
4,
3,
4,
1,
0,
4,
3,
2,
3,
1,
3,
2,
1,
4,
0,
1,
2,
3,
2,
0,
4,
3,
0,
4,
0,
0,
1,
3,
1,
1,
1,
1,
3,
3,
3,
4,
0,
0,
0,
0,
4,
2,
4,
0,
1,
2,
1,
4,
3,
1,
0,
4,
3,
3,
3,
0,
2,
3,
3,
1,
0,
0,
4,
4,
2,
1,
2,
3,
0,
0,
3,
0,
1,
4,
0,
1,
4,
1,
1,
1,
0,
3,
3,
4,
1,
4,
1,
4,
0,
1,
3,
2,
0,
3,
4,
4,
1,
4,
1,
3,
4,
3,
2,
2,
4,
3,
0,
3,
2,
2,
3,
2,
3,
3,
4,
3,
1,
2,
0,
0,
1,
1,
0,
1,
0,
0,
3,
1,
1,
3,
4,
2,
4,
0,
4,
2,
3,
4,
2,
0,
2,
3,
1,
3,
0,
1,
2,
0,
4,
4,
4,
4,
3,
1,
4,
4,
0,
0,
4,
1,
4,
3,
2,
1,
4,
1,
1,
3,
0,
0,
1,
1,
2,
0,
0,
2,
0,
4,
4,
3,
2,
0,
3,
0,
0,
4,
3,
1,
3,
1,
2,
3,
2,
1,
0,
4,
4,
1,
2,
4,
3,
3,
3,
0,
2,
0,
1,
4,
2,
1,
1,
1,
1,
2,
3,
3,
1,
3,
4,
3,
4,
2,
4,
4,
3,
0,
3,
0,
3,
0,
3,
1,
2,
4,
2,
4,
4,
3,
2,
1,
4,
0,
0,
1,
2,
4,
1,
2,
3,
3,
0,
3,
0,
4,
3,
3,
4,
1,
2,
2,
3,
2,
2,
0,
4,
3,
4,
1,
3,
2,
4,
4,
2,
0,
1,
2,
2,
3,
2,
2,
0,
0,
0,
3,
1,
3,
2,
3,
2,
1,
0,
3,
4,
1,
4,
1,
0,
2,
0,
1,
1,
2,
3,
3,
2,
3,
3,
1,
2,
0,
4,
2,
1,
4,
4,
0,
4,
0,
0,
2,
2,
3,
2,
1,
2,
3,
0,
1,
2,
1,
4,
1,
2,
1,
4,
4,
3,
2,
2,
1,
1,
0,
2,
2,
3,
3,
0,
0,
3,
0,
4,
0,
0,
0,
3,
0,
4,
1,
1,
3,
4,
2,
4,
4,
4,
1,
2,
4,
4,
4,
0,
4,
0,
4,
0,
3,
4,
2,
4,
2,
4,
0,
2,
1,
4,
0,
4,
4,
0,
4,
1,
1,
3,
4,
3,
2,
2,
4,
0,
3,
2,
0,
2,
3,
2,
3,
0,
0,
4,
4,
0,
2,
1,
0,
2,
2,
2,
0,
1,
4,
1,
4,
3,
4,
2,
3,
3,
3,
2,
0,
0,
1,
3,
4,
2,
0,
0,
4,
4,
1,
4,
0,
4,
3,
2,
2,
2,
0,
3,
1,
2,
0,
4,
4,
1,
4,
3,
1,
3,
1,
1,
2,
2,
0,
3,
1,
3,
1,
2,
3,
1,
4,
4,
3,
1,
3,
3,
2,
3,
4,
1,
1,
1,
2,
3,
4,
0,
1,
1,
4,
0,
3,
1,
4,
4,
4,
1,
3,
3,
0,
2,
3,
4,
2,
3,
0,
3,
2,
1,
2,
3,
1,
0,
3,
4,
0,
0,
4,
4,
4,
0,
4,
2,
1,
0,
1,
0,
4,
4,
1,
4,
2,
1,
4,
4,
4,
0,
1,
3,
0,
3,
4,
4,
3,
3,
2,
1,
4,
1,
4,
0,
0,
1,
4,
0,
0,
0,
4,
1,
4,
2,
2,
3,
3,
2,
3,
4,
1,
0,
0,
0,
3,
1,
4,
0,
0,
1,
2,
1,
2,
2,
2,
3,
0,
4,
1,
1,
1,
0,
3,
2,
0,
3,
0,
4,
4,
1,
4,
0,
4,
4,
1,
2,
3,
4,
0,
0,
3,
0,
3,
1,
4,
1,
3,
3,
4,
2,
0,
0,
0,
1,
3,
1,
1,
4,
1,
0,
3,
3,
4,
0,
4,
2,
1,
0,
4,
0,
4,
1,
1,
3,
0,
3,
3,
3,
2,
1,
2,
1,
0,
4,
1,
0,
2,
3,
0,
2,
3,
1,
1,
1,
4,
4,
4,
2,
0,
3,
2,
1,
4,
2,
1,
4,
4,
2,
0,
4,
1,
4,
3,
3,
4,
4,
1,
4,
4,
1,
0,
0,
4,
4,
4,
3,
1,
3,
0,
2,
0,
4,
4,
0,
2,
4,
0,
2,
4,
4,
2,
3,
1,
2,
3,
0,
4,
1,
0,
0,
3,
3,
3,
4,
4,
2,
4,
4,
4,
2,
1,
0,
3,
0,
1,
1,
2,
1,
3,
2,
3,
0,
1,
3,
0,
4,
3,
2,
0,
2,
4,
2,
4,
3,
1,
4,
0,
4,
4,
1,
1,
4,
1,
2,
1,
3,
4,
0,
2,
1,
1,
2,
3,
4,
3,
4,
0,
0,
1,
3,
2,
3,
2,
3,
0,
1,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
3,
0,
0,
1,
2,
2,
4,
3,
4,
3,
4,
3,
1,
2,
0,
4,
2,
2,
2,
1,
4,
1,
4,
3,
4,
4,
4,
1,
1,
1,
2,
2,
4,
1,
4,
3,
0,
4,
3,
2,
3,
1,
2,
4,
4,
0,
3,
3,
3,
4,
4,
0,
3,
0,
2,
4,
1,
2,
4,
1,
2,
2,
0,
0,
2,
1,
3,
0,
0,
2,
3,
4,
1,
4,
3,
2,
4,
2,
3,
2,
0,
3,
3,
0,
0,
0,
3,
0,
4,
2,
0,
1,
2,
0,
0,
1,
0,
2,
4,
4,
4,
2,
1,
3,
0,
3,
3,
0,
0,
2,
2,
2,
2,
4,
4,
2,
4,
0,
1,
1,
3,
2,
4,
1,
2,
0,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
1,
4,
4,
0,
3,
1,
0,
3,
3,
1,
0,
2,
0,
2,
1,
0,
3,
2,
4,
3,
0,
0,
1,
0,
0,
0,
0,
1,
4,
0,
4,
2,
3,
3,
3,
4,
0,
0,
3,
3,
3,
4,
0,
0,
2,
2,
3,
1,
3,
3,
4,
2,
3,
2,
2,
4,
2,
1,
3,
2,
4,
1,
2,
0,
2,
2,
0,
1,
4,
0,
1,
1,
0,
0,
4,
2,
4,
3,
4,
4,
2,
2,
0,
1,
2,
0,
0,
0,
2,
1,
3,
4,
2,
4,
0,
0,
3,
3,
0,
1,
2,
0,
0,
4,
2,
1,
1,
3,
4,
3,
3,
0,
4,
1,
2,
2,
1,
2,
1,
2,
4,
0,
3,
2,
2,
3,
0,
4,
3,
1,
4,
2,
2,
3,
3,
0,
2,
4,
2,
2,
2,
3,
4,
3,
2,
4,
4,
0,
3,
0,
1,
0,
1,
4,
2,
3,
1,
2,
1,
3,
3,
1,
3,
4,
0,
1,
4,
0,
0,
4,
4,
3,
3,
1,
3,
4,
1,
3,
0,
2,
4,
1,
1,
1,
0,
1,
3,
4,
3,
1,
2,
1,
1,
1,
0,
1,
4,
4,
4,
0,
1,
1,
4,
2,
1,
2,
4,
1,
1,
4,
2,
4,
2,
0,
1,
2,
0,
2,
2,
0,
0,
4,
0,
0,
2,
1,
2,
4,
0,
4,
0,
4,
1,
1,
0,
4,
2,
2,
3,
1,
1,
3,
4,
2,
1,
1,
0,
2,
3,
3,
0,
3,
1,
0,
2,
2,
2,
2,
3,
1,
3,
1,
3,
3,
3,
1,
0,
0,
2,
4,
3,
4,
3,
0,
2,
0,
3,
2,
1,
4,
2,
3,
4,
0,
2,
2,
1,
2,
4,
0,
0,
1,
4,
2,
0,
1,
0,
3,
1,
4,
1,
1,
4,
4,
1,
3,
2,
3,
3,
4,
4,
0,
2,
1,
1,
0,
0,
4,
0,
0,
0,
4,
2,
2,
2,
2,
4,
1,
3,
2,
3,
4,
0,
1,
1,
1,
2,
2,
4,
2,
2,
3,
0,
3,
1,
0,
4,
1,
0,
3,
1,
3,
1,
3,
1,
1,
4,
1,
1,
1,
2,
4,
3,
4,
2,
0,
1,
3,
0,
2,
4,
3,
0,
1,
2,
3,
1,
2,
0,
4,
3,
3,
0,
3,
0,
4,
0,
2,
2,
2,
0,
1,
3,
0,
4,
4,
2,
0,
4,
4,
2,
4,
1,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
4,
2,
1,
3,
4,
2,
1,
2,
2,
1,
2,
2,
3,
4,
1,
0,
3,
4,
3,
1,
4,
4,
1,
1,
4,
1,
0,
4,
0,
2,
4,
1,
3,
0,
0,
4,
2,
4,
0,
3,
0,
4,
1,
3,
2,
4,
2,
4,
1,
1,
3,
3,
4,
4,
2,
3,
2,
0,
0,
3,
3,
4,
2,
2,
2,
0,
1,
2,
4,
3,
3,
1,
2,
2,
3,
2,
3,
0,
1,
0,
2,
3,
4,
1,
4,
3,
4,
2,
3,
4,
2,
2,
1,
2,
3,
2,
4,
4,
0,
0,
0,
4,
3,
1,
3,
2,
4,
3,
3,
4,
1,
0,
3,
1,
0,
1,
0,
4,
1,
3,
3,
1,
3,
3,
0,
1,
0,
3,
0,
1,
4,
4,
2,
0,
4,
4,
4,
2,
1,
3,
1,
3,
0,
0,
4,
2,
0,
2,
0,
2,
1,
2,
2,
2,
3,
2,
4,
4,
3,
4,
2,
0,
4,
0,
2,
0,
4,
1,
1,
3,
2,
2,
2,
0,
3,
2,
0,
1,
4,
3,
1,
1,
1,
4,
1,
1,
0,
2,
1,
1,
0,
3,
1,
0,
1,
2,
3,
1,
4,
2,
3,
3,
0,
4,
2,
0,
0,
0,
2,
4,
0,
0,
1,
1,
4,
3,
1,
4,
2,
1,
4,
3,
1,
0,
3,
4,
3,
0,
2,
3,
0,
1,
2,
1,
0,
0,
1,
1,
2,
4,
1,
0,
3,
4,
3,
1,
3,
0,
2,
3,
4,
0,
2,
0,
1,
2,
2,
1,
0,
3,
3,
2,
1,
1,
0,
1,
1,
0,
1,
0,
3,
2,
4,
1,
1,
3,
2,
2,
0,
2,
2,
1,
1,
2,
1,
3,
3,
3,
2,
2,
0,
4,
3,
2,
2,
3,
1,
2,
1,
3,
1,
0,
0,
2,
1,
3,
1,
4,
3,
4,
4,
2,
3,
4,
0,
0,
1,
0,
2,
3,
2,
3,
1,
4,
2,
0,
3,
4,
1,
4,
1,
2,
2,
1,
3,
1,
3,
0,
1,
1,
0,
2,
4,
0,
1,
1,
0,
4,
1,
0,
2,
4,
1,
2,
4,
1,
1,
1,
2,
1,
0,
2,
0,
0,
0,
4,
1,
0,
4,
1,
0,
3,
4,
2,
2,
0,
1,
4,
3,
4,
0,
1,
3,
4,
0,
3,
0,
0,
1,
1,
0,
2,
2,
0,
3,
0,
1,
1,
0,
1,
1,
2,
4,
0,
2,
1,
2,
2,
1,
3,
1,
3,
1,
4,
4,
3,
4,
4,
1,
1,
1,
0,
2,
0,
4,
1,
0,
1,
0,
0,
2,
4,
2,
1,
3,
2,
0,
0,
1,
4,
3,
3,
3,
3,
0,
3,
2,
4,
3,
2,
1,
4,
0,
1,
2,
0,
0,
4,
1,
4,
4,
3,
3,
3,
4,
3,
0,
1,
3,
1,
0,
0,
2,
0,
2,
0,
1,
4,
0,
4,
0,
4,
1,
4,
4,
0,
0,
3,
2,
2,
4,
3,
4,
0,
2,
2,
4,
2,
2,
0,
2,
3,
1,
1,
3,
1,
4,
0,
3,
3,
4,
0,
4,
4,
3,
4,
3,
3,
3,
0,
1,
3,
3,
3,
0,
1,
0,
0,
4,
0,
0,
0,
4,
2,
0,
1,
1,
1,
2,
2,
2,
2,
3,
1,
4,
2,
0,
0,
3,
1,
2,
4,
4,
4,
4,
3,
2,
1,
1,
2,
3,
1,
4,
3,
0,
1,
0,
0,
2,
1,
0,
1,
1,
2,
0,
3,
0,
1,
3,
4,
1,
3,
1,
1,
0,
3,
3,
4,
0,
3,
1,
0,
0,
2,
2,
0,
3,
3,
4,
4,
2,
2,
1,
3,
4,
0,
4,
0,
3,
2,
1,
3,
0,
1,
4,
0,
1,
2,
4,
3,
4,
0,
2,
2,
2,
0,
3,
1,
2,
1,
1,
0,
2,
2,
1,
1,
3,
1,
4,
1,
3,
0,
0,
1,
1,
4,
2,
4,
3,
0,
1,
2,
4,
0,
4,
1,
2,
2,
3,
4,
3,
4,
0,
1,
3,
1,
2,
2,
0,
4,
2,
3,
4,
1,
1,
4,
4,
2,
4,
3,
4,
4,
0,
3,
3,
4,
4,
2,
3,
1,
0,
0,
2,
1,
3,
0,
4,
4,
1,
1,
3,
0,
0,
1,
1,
4,
1,
2,
4,
0,
0,
4,
2,
1,
1,
0,
3,
4,
4,
4,
4,
2,
2,
4,
1,
3,
0,
1,
3,
0,
3,
4,
1,
4,
2,
3,
1,
4,
1,
3,
1,
1,
0,
2,
1,
1,
0,
2,
3,
2,
0,
3,
0,
0,
3,
4,
1,
3,
2,
0,
2,
1,
2,
3,
0,
4,
1,
4,
1,
0,
4,
0,
2,
2,
3,
0,
3,
2,
3,
0,
2,
2,
4,
0,
0,
1,
3,
0,
2,
2,
0,
2,
2,
3,
1,
1,
2,
0,
3,
3,
3,
1,
0,
2,
2,
4,
2,
4,
1,
4,
2,
1,
3,
0,
4,
4,
1,
0,
0,
0,
2,
0,
4,
1,
2,
0,
1,
4,
3,
2,
2,
2,
0,
4,
1,
3,
4,
4,
0,
2,
0,
2,
3,
3,
2,
1,
1,
3,
1,
4,
2,
3,
1,
4,
0,
0,
3,
1,
4,
1,
4,
4,
2,
0,
3,
4,
4,
0,
2,
1,
0,
1,
0,
0,
3,
2,
2,
2,
1,
2,
2,
4,
2,
4,
3,
3,
4,
2,
0,
2,
0,
2,
0,
0,
3,
4,
4,
0,
4,
1,
4,
0,
2,
2,
3,
1,
0,
4,
1,
3,
2,
0,
2,
4,
3,
2,
1,
0,
2,
2,
2,
4,
2,
3,
0,
3,
2,
2,
1,
0,
3,
0,
0,
3,
2,
4,
3,
3,
1,
1,
0,
1,
1,
3,
1,
1,
3,
0,
4,
0,
2,
1,
2,
4,
1,
0,
0,
2,
2,
0,
3,
0,
1,
3,
0,
1,
2,
4,
3,
1,
4,
0,
3,
2,
4,
0,
2,
4,
1,
2,
0,
0,
2,
0,
3,
4,
1,
0,
3,
4,
3,
1,
4,
2,
4,
1,
3,
4,
0,
3,
3,
1,
0,
0,
2,
1,
2,
0,
4,
4,
3,
3,
0,
3,
2,
2,
2,
0,
3,
2,
2,
0,
3,
2,
3,
1,
3,
0,
1,
1,
0,
2,
4,
2,
3,
0,
0,
4,
2,
2,
2,
4,
1,
2,
3,
2,
0,
2,
2,
0,
4,
3,
4,
3,
2,
0,
1,
1,
0,
1,
1,
3,
3,
3,
2,
4,
4,
4,
4,
1,
3,
0,
2,
1,
0,
4,
4,
2,
4,
2,
0,
3,
2,
3,
0,
3,
0,
2,
2,
1,
1,
1,
3,
3,
2,
2,
4,
3,
1,
3,
2,
3,
2,
1,
2,
0,
1,
4,
1,
3,
0,
3,
3,
4,
1,
3,
4,
2,
4,
3,
4,
3,
3,
3,
2,
4,
2,
0,
3,
2,
4,
0,
3,
0,
0,
1,
1,
1,
1,
3,
2,
4,
4,
2,
2,
3,
3,
4,
1,
1,
2,
1,
1,
4,
2,
4,
4,
3,
1,
2,
0,
4,
4,
3,
4,
1,
1,
1,
1,
2,
3,
2,
3,
1,
0,
0,
2,
1,
1,
3,
2,
0,
0,
4,
4,
2,
3,
1,
2,
3,
1,
2,
0,
4,
3,
3,
0,
2,
1,
2,
4,
1,
1,
3,
1,
1,
2,
1,
0,
1,
2,
2,
2,
1,
2,
3,
2,
3,
3,
0,
1,
1,
0,
1,
3,
2,
4,
2,
1,
1,
3,
2,
3,
4,
4,
3,
0,
4,
2,
2,
1,
2,
0,
0,
1,
3,
0,
1,
3,
0,
0,
4,
4,
3,
4,
1,
3,
1,
2,
0,
3,
2,
2,
3,
3,
2,
3,
1,
0,
1,
0,
0,
0,
4,
4,
4,
1,
4,
0,
0,
4,
1,
0,
4,
4,
3,
0,
1,
1,
4,
4,
1,
3,
3,
0,
3,
0,
2,
4,
3,
0,
3,
0,
1,
0,
0,
2,
0,
1,
1,
2,
0,
2,
1,
1,
4,
3,
4,
0,
3,
4,
4,
1,
1,
2,
0,
4,
0,
1,
2,
0,
3,
1,
1,
2,
2,
1,
2,
4,
3,
3,
2,
3,
4,
3,
3,
2,
4,
4,
4,
1,
1,
2,
2,
3,
3,
3,
2,
1,
3,
1,
4,
2,
0,
1,
1,
3,
1,
1,
2,
3,
3,
2,
4,
0,
1,
1,
3,
3,
4,
4,
0,
3,
0,
1,
0,
4,
1,
1,
0,
4,
0,
2,
3,
1,
3,
2,
3,
3,
2,
1,
2,
3,
3,
0,
0,
1,
2,
4,
3,
2,
0,
2,
1,
1,
0,
1,
0,
4,
3,
4,
2,
4,
4,
1,
4,
3,
2,
1,
2,
2,
2,
3,
4,
2,
0,
3,
3,
2,
3,
4,
2,
3,
0,
2,
3,
2,
0,
1,
4,
2,
3,
4,
3,
3,
1,
3,
3,
0,
1,
2,
0,
2,
2,
3,
0,
1,
3,
1,
0,
1,
0,
0,
2,
4,
4,
3,
1,
4,
2,
2,
2,
0,
4,
3,
1,
0,
2,
0,
0,
2,
1,
0,
0,
0,
0,
2,
2,
2,
2,
0,
2,
1,
0,
2,
2,
3,
4,
1,
4,
0,
2,
4,
0,
2,
4,
3,
3,
1,
2,
1,
0,
0,
1,
3,
2,
2,
1,
1,
1,
3,
1,
3,
2,
3,
4,
4,
2,
3,
2,
0,
4,
2,
3,
1,
3,
1,
4,
1,
1,
2,
2,
4,
3,
0,
3,
2,
2,
2,
1,
0,
2,
2,
3,
1,
4,
1,
3,
2,
2,
2,
3,
1,
1,
1,
0,
1,
3,
3,
1,
1,
0,
4,
1,
0,
3,
3,
3,
3,
0,
0,
1,
4,
2,
3,
0,
1,
0,
1,
3,
2,
2,
3,
0,
4,
4,
4,
0,
0,
1,
3,
1,
4,
2,
4,
0,
0,
4,
4,
1,
4,
2,
4,
1,
4,
3,
3,
0,
3,
2,
1,
2,
0,
2,
3,
3,
2,
4,
1,
2,
4,
4,
3,
1,
3,
1,
2,
2,
3,
3,
2,
1,
3,
3,
4,
1,
4,
0,
4,
4,
0,
2,
1,
3,
2,
0,
3,
3,
4,
2,
2,
2,
2,
0,
3,
0,
1,
0,
1,
2,
4,
2,
3,
1,
0,
4,
4,
1,
3,
2,
1,
1,
0,
3,
3,
1,
0,
1,
4,
2,
3,
4,
4,
0,
1,
3,
1,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
3,
2,
2,
3,
1,
2,
4,
0,
1,
4,
1,
1,
1,
0,
1,
4,
0,
4,
2,
4,
3,
3,
0,
3,
3,
3,
0,
4,
4,
3,
0,
4,
4,
0,
4,
4,
0,
1,
3,
4,
4,
0,
2,
1,
3,
3,
0,
0,
0,
3,
1,
3,
4,
3,
2,
2,
3,
4,
4,
0,
1,
0,
4,
4,
3,
0,
3,
1,
1,
3,
1,
2,
2,
1,
4,
2,
1,
4,
2,
3,
0,
1,
2,
1,
0,
0,
2,
4,
4,
3,
1,
1,
3,
4,
1,
2,
3,
0,
1,
1,
1,
2,
3,
0,
4,
1,
2,
3,
1,
4,
2,
0,
1,
0,
1,
1,
3,
4,
1,
0,
2,
4,
3,
0,
3,
4,
1,
0,
3,
1,
3,
0,
3,
0,
0,
1,
2,
1,
2,
1,
0,
1,
2,
1,
4,
0,
3,
1,
2,
0,
2,
4,
4,
1,
1,
3,
0,
2,
2,
2,
0,
2,
3,
3,
4,
1,
1,
2,
3,
2,
3,
2,
4,
4,
0,
0,
2,
1,
0,
2,
1,
3,
0,
4,
4,
1,
1,
1,
0,
4,
1,
0,
1,
0,
4,
0,
1,
4,
2,
0,
2,
0,
2,
2,
2,
4,
3,
2,
3,
3,
0,
3,
0,
3,
2,
1,
0,
4,
2,
0,
0,
1,
2,
2,
1,
2,
3,
1,
4,
1,
2,
0,
0,
0,
1,
1,
4,
3,
3,
4,
1,
2,
0,
1,
4,
1,
0,
2,
0,
3,
1,
2,
2,
2,
4,
2,
0,
1,
0,
1,
4,
0,
1,
3,
2,
4,
3,
0,
4,
0,
1,
3,
3,
4,
0,
4,
2,
2,
4,
3,
0,
3,
4,
0,
4,
2,
0,
1,
0,
3,
3,
2,
4,
1,
2,
1,
0,
3,
2,
4,
0,
2,
3,
2,
2,
3,
2,
3,
3,
0,
1,
0,
3,
3,
3,
0,
4,
2,
3,
3,
0,
4,
4,
2,
2,
3,
0,
3,
2,
3,
3,
3,
3,
2,
4,
2,
4,
3,
3,
1,
2,
1,
1,
3,
2,
4,
0,
0,
4,
0,
3,
1,
1,
0,
2,
2,
1,
0,
4,
1,
2,
3,
0,
0,
4,
2,
0,
3,
2,
0,
3,
1,
1,
1,
1,
3,
4,
4,
4,
0,
1,
1,
0,
2,
1,
0,
0,
1,
4,
3,
3,
4,
4,
4,
0,
4,
0,
4,
3,
2,
3,
0,
1,
1,
4,
0,
0,
4,
2,
0,
4,
1,
2,
0,
3,
0,
1,
0,
3,
1,
1,
3,
3,
4,
1,
3,
3,
3,
4,
1,
0,
3,
1,
2,
2,
3,
0,
1,
1,
4,
4,
2,
4,
0,
2,
4,
4,
1,
4,
2,
0,
1,
2,
1,
0,
4,
0,
2,
1,
2,
0,
2,
0,
1,
4,
2,
2,
0,
1,
2,
0,
2,
4,
3,
2,
1,
1,
4,
0,
4,
4,
3,
4,
1,
2,
1,
3,
3,
0,
4,
0,
1,
1,
0,
4,
1,
2,
3,
4,
0,
0,
0,
0,
3,
2,
0,
4,
3,
1,
2,
0,
0,
3,
1,
0,
0,
3,
2,
2,
3,
1,
1,
3,
4,
3,
3,
1,
0,
3,
3,
4,
1,
3,
3,
2,
4,
2,
1,
3,
2,
4,
3,
2,
1,
0,
1,
2,
4,
1,
0,
0,
1,
0,
3,
0,
0,
4,
0,
4,
4,
3,
0,
0,
1,
3,
0,
1,
2,
0,
4,
3,
2,
4,
1,
2,
4,
1,
4,
2,
0,
3,
0,
4,
2,
2,
1,
1,
1,
2,
4,
4,
0,
3,
4,
3,
0,
3,
3,
3,
3,
4,
0,
3,
1,
4,
1,
4,
3,
2,
4,
4,
4,
1,
2,
4,
0,
4,
2,
3,
0,
3,
4,
3,
0,
3,
3,
4,
3,
2,
2,
4,
4,
3,
1,
3,
4,
3,
1,
0,
4,
2,
0,
4,
0,
4,
4,
2,
2,
2,
2,
3,
1,
1,
1,
2,
4,
1,
2,
2,
3,
2,
1,
2,
4,
4,
2,
1,
0,
3,
0,
1,
0,
0,
2,
1,
1,
3,
2,
1,
2,
2,
3,
3,
0,
3,
3,
2,
3,
4,
3,
0,
4,
3,
0,
0,
2,
0,
1,
3,
4,
1,
1,
0,
3,
2,
2,
0,
4,
0,
2,
1,
1,
0,
4,
0,
3,
2,
3,
0,
1,
2,
4,
3,
3,
3,
1,
2,
4,
3,
4,
2,
2,
0,
2,
1,
0,
0,
0,
2,
2,
2,
0,
4,
3,
0,
2,
0,
2,
4,
3,
4,
4,
3,
3,
1,
2,
3,
1,
3,
4,
0,
4,
1,
4,
2,
1,
3,
2,
0,
1,
1,
3,
1,
1,
1,
0,
2,
1,
4,
4,
2,
3,
1,
4,
1,
2,
1,
3,
4,
0,
2,
0,
4,
1,
0,
1,
4,
4,
1,
1,
1,
3,
0,
1,
3,
1,
2,
3,
0,
3,
3,
0,
4,
2,
0,
2,
3,
0,
4,
3,
1,
1,
4,
0,
2,
1,
3,
2,
4,
1,
2,
4,
0,
4,
1,
1,
4,
0,
0,
0,
2,
1,
4,
3,
3,
1,
3,
2,
3,
3,
3,
0,
3,
3,
2,
2,
1,
0,
4,
1,
0,
2,
4,
3,
0,
3,
1,
2,
1,
4,
0,
2,
1,
0,
2,
2,
2,
1,
1,
4,
1,
4,
3,
0,
1,
4,
1,
3,
4,
3,
2,
2,
1,
2,
0,
4,
3,
4,
2,
4,
3,
4,
1,
3,
3,
3,
3,
3,
1,
3,
4,
4,
3,
4,
4,
4,
4,
1,
0,
3,
1,
1,
4,
1,
0,
1,
1,
2,
4,
2,
2,
4,
2,
4,
1,
2,
4,
3,
1,
3,
0,
0,
3,
2,
4,
0,
2,
4,
3,
1,
2,
2,
1,
0,
3,
1,
2,
1,
4,
3,
0,
3,
1,
0,
2,
4,
3,
0,
4,
4,
1,
4,
4,
1,
0,
2,
4,
1,
0,
4,
3,
2,
0,
0,
0,
0,
0,
3,
1,
2,
2,
2,
3,
1,
4,
4,
3,
4,
0,
3,
1,
4,
3,
0,
0,
3,
1,
4,
3,
4,
0,
3,
2,
3,
1,
4,
1,
1,
3,
4,
4,
1,
3,
0,
4,
3,
3,
3,
4,
0,
0,
4,
2,
4,
4,
3,
4,
2,
4,
4,
0,
4,
2,
3,
4,
1,
0,
3,
3,
2,
3,
4,
2,
3,
4,
4,
0,
1,
4,
1,
0,
4,
3,
2,
4,
4,
1,
0,
4,
0,
2,
3,
0,
4,
0,
3,
0,
0,
1,
3,
0,
3,
4,
3,
4,
3,
0,
2,
1,
0,
2,
2,
0,
0,
3,
0,
4,
3,
1,
3,
4,
2,
2,
2,
3,
0,
1,
4,
3,
1,
1,
3,
4,
0,
1,
3,
0,
3,
4,
2,
3,
0,
3,
4,
0,
1,
3,
0,
0,
1,
0,
0,
0,
1,
1,
4,
0,
0,
3,
3,
2,
4,
4,
1,
1,
3,
4,
4,
4,
2,
3,
4,
0,
4,
0,
0,
4,
3,
4,
2,
4,
4,
2,
1,
1,
4,
0,
2,
3,
4,
3,
4,
2,
3,
2,
3,
2,
1,
3,
3,
4,
4,
1,
2,
4,
0,
4,
2,
0,
3,
2,
3,
3,
2,
2,
1,
0,
1,
0,
0,
0,
1,
2,
0,
3,
3,
1,
4,
2,
3,
3,
2,
0,
0,
2,
3,
0,
2,
3,
1,
2,
2,
4,
1,
1,
0,
2,
2,
0,
1,
2,
3,
3,
0,
3,
3,
3,
1,
0,
4,
0,
1,
2,
1,
4,
2,
3,
2,
3,
0,
3,
4,
1,
4,
2,
4,
4,
1,
4,
3,
0,
0,
2,
2,
3,
2,
0,
2,
3,
0,
2,
4,
3,
0,
1,
2,
0,
1,
4,
3,
1,
0,
3,
4,
2,
2,
2,
0,
4,
0,
3,
0,
3,
1,
2,
4,
3,
4,
3,
1,
3,
3,
0,
4,
2,
3,
4,
3,
3,
1,
4,
1,
1,
0,
0,
3,
0,
3,
4,
0,
2,
0,
1,
0,
1,
0,
3,
3,
1,
0,
4,
4,
1,
4,
3,
0,
0,
1,
2,
1,
0,
1,
0,
1,
3,
4,
1,
1,
2,
1,
0,
0,
1,
0,
0,
1,
3,
3,
0,
4,
1,
4,
3,
3,
4,
2,
0,
2,
0,
4,
4,
2,
0,
1,
1,
4,
2,
2,
3,
0,
2,
1,
3,
1,
3,
3,
4,
1,
1,
0,
4,
3,
3,
0,
2,
3,
4,
3,
4,
4,
1,
2,
1,
3,
3,
4,
3,
2,
4,
2,
1,
0,
1,
2,
2,
4,
4,
1,
4,
0,
4,
0,
2,
3,
3,
4,
1,
0,
1,
3,
3,
3,
1,
4,
4,
0,
4,
4,
4,
1,
1,
2,
4,
3,
3,
2,
3,
0,
4,
1,
3,
1,
4,
3,
0,
4,
4,
4,
4,
0,
4,
3,
3,
4,
2,
4,
2,
2,
3,
2,
4,
0,
2,
1,
3,
2,
3,
0,
2,
4,
4,
2,
0,
3,
4,
1,
4,
1,
3,
4,
1,
1,
4,
4,
4,
0,
1,
4,
0,
0,
1,
0,
4,
0,
4,
0,
1,
2,
1,
4,
3,
3,
1,
4,
2,
2,
3,
2,
3,
1,
0,
1,
1,
4,
3,
1,
3,
2,
4,
1,
4,
3,
2,
1,
3,
4,
1,
3,
4,
0,
3,
3,
4,
0,
1,
4,
0,
4,
4,
4,
0,
2,
0,
1,
1,
2,
4,
3,
2,
0,
2,
1,
2,
0,
4,
0,
2,
4,
4,
3,
3,
2,
4,
0,
3,
0,
0,
0,
1,
2,
4,
3,
3,
2,
4,
4,
2,
0,
2,
3,
0,
0,
1,
1,
1,
0,
1,
1,
0,
0,
2,
1,
0,
1,
0,
2,
2,
3,
4,
3,
0,
1,
0,
0,
4,
4,
1,
2,
1,
1,
0,
4,
3,
0,
2,
2,
1,
1,
4,
4,
0,
4,
3,
1,
3,
0,
0,
4,
3,
0,
1,
3,
2,
4,
4,
2,
4,
2,
3,
0,
3,
2,
4,
3,
2,
0,
3,
3,
4,
3,
2,
4,
0,
2,
3,
1,
4,
1,
3,
3,
1,
3,
1,
4,
1,
3,
0,
3,
1,
0,
0,
3,
0,
4,
1,
2,
0,
4,
2,
3,
1,
2,
0,
4,
3,
4,
0,
4,
1,
3,
4,
4,
0,
1,
0,
0,
3,
0,
4,
4,
4,
0,
4,
2,
2,
4,
0,
0,
0,
4,
4,
1,
0,
4,
0,
3,
0,
3,
4,
3,
2,
2,
1,
1,
4,
0,
1,
4,
4,
0,
2,
4,
4,
1,
0,
0,
1,
4,
2,
3,
0,
3,
4,
0,
3,
4,
1,
2,
0,
4,
0,
4,
0,
2,
2,
3,
4,
3,
2,
1,
0,
1,
1,
0,
0,
2,
3,
1,
1,
2,
4,
3,
0,
2,
4,
3,
3,
2,
0,
3,
3,
3,
0,
3,
2,
0,
0,
0,
0,
3,
4,
2,
0,
2,
2,
0,
4,
0,
0,
2,
2,
1,
0,
2,
3,
2,
0,
4,
0,
4,
1,
4,
1,
1,
4,
0,
1,
3,
2,
4,
0,
1,
3,
4,
0,
1,
2,
0,
3,
0,
4,
3,
1,
4,
3,
0,
0,
0,
4,
0,
1,
3,
4,
1,
2,
4,
3,
1,
3,
1,
1,
2,
1,
4,
4,
4,
1,
2,
4,
1,
2,
0,
0,
3,
4,
2,
1,
3,
4,
3,
3,
0,
1,
0,
4,
4,
2,
1,
1,
2,
2,
3,
2,
1,
3,
3,
1,
1,
1,
1,
2,
2,
0,
0,
1,
1,
1,
1,
1,
1,
4,
1,
4,
3,
2,
4,
0,
4,
3,
4,
0,
4,
3,
1,
4,
4,
4,
1,
3,
3,
4,
4,
4,
4,
1,
3,
4,
2,
3,
1,
0,
1,
2,
1,
4,
4,
1,
1,
4,
2,
3,
2,
2,
1,
3,
4,
0,
0,
2,
4,
0,
2,
3,
1,
1,
4,
3,
3,
3,
0,
0,
0,
2,
1,
3,
2,
1,
0,
1,
0,
1,
2,
3,
4,
3,
1,
1,
3,
4,
1,
1,
4,
0,
1,
0,
1,
4,
4,
0,
3,
4,
0,
0,
0,
3,
2,
0,
3,
2,
0,
3,
1,
0,
0,
2,
4,
4,
2,
0,
3,
4,
3,
2,
3,
1,
4,
2,
1,
2,
2,
3,
4,
2,
3,
1,
2,
1,
3,
0,
2,
0,
1,
3,
4,
1,
3,
4,
3,
2,
0,
4,
2,
2,
2,
2,
1,
0,
4,
2,
0,
4,
3,
2,
4,
3,
3,
4,
1,
3,
0,
1,
1,
4,
2,
3,
2,
4,
0,
4,
0,
4,
0,
4,
4,
2,
2,
2,
4,
4,
1,
0,
3,
4,
2,
3,
4,
4,
2,
1,
1,
2,
1,
0,
4,
4,
2,
4,
4,
0,
4,
2,
3,
3,
2,
4,
1,
2,
1,
2,
2,
3,
4,
2,
1,
4,
0,
0,
1,
4,
4,
3,
3,
4,
0,
4,
0,
0,
3,
1,
0,
2,
3,
4,
0,
0,
0,
3,
2,
3,
2,
4,
3,
3,
4,
1,
1,
4,
0,
2,
3,
2,
0,
2,
4,
3,
0,
4,
4,
1,
1,
3,
0,
4,
0,
0,
0,
1,
0,
0,
3,
4,
3,
2,
3,
4,
2,
4,
0,
1,
2,
3,
0,
0,
4,
3,
4,
2,
1,
2,
4,
1,
3,
1,
3,
1,
1,
3,
1,
4,
3,
4,
0,
2,
3,
4,
0,
4,
2,
1,
1,
3,
3,
0,
0,
0,
0,
3,
1,
4,
3,
1,
4,
0,
3,
0,
4,
4,
3,
4,
2,
2,
4,
3,
1,
1,
3,
1,
0,
0,
2,
0,
4,
4,
4,
1,
1,
4,
4,
3,
0,
3,
1,
3,
2,
1,
2,
2,
4,
2,
2,
3,
4,
2,
0,
0,
0,
1,
3,
0,
1,
3,
2,
2,
0,
3,
3,
3,
0,
1,
4,
4,
1,
4,
1,
2,
2,
2,
2,
2,
3,
2,
3,
0,
0,
4,
3,
1,
0,
2,
4,
3,
1,
2,
3,
0,
3,
3,
2,
3,
1,
2,
4,
1,
3,
1,
3,
1,
0,
1,
2,
4,
2,
1,
3,
2,
0,
1,
4,
1,
3,
2,
3,
4,
3,
3,
2,
3,
2,
3,
0,
3,
3,
2,
1,
4,
3,
4,
1,
4,
3,
2,
4,
2,
3,
2,
0,
2,
2,
4,
2,
4,
1,
3,
1,
1,
3,
1,
3,
1,
0,
4,
0,
4,
2,
0,
3,
3,
0,
2,
2,
4,
3,
3,
2,
0,
1,
4,
4,
3,
1,
1,
0,
1,
3,
2,
4,
4,
1,
0,
4,
2,
1,
2,
3,
4,
0,
1,
2,
3,
1,
0,
1,
0,
4,
1,
1,
2,
2,
3,
4,
3,
0,
3,
1,
3,
1,
1,
0,
3,
4,
3,
0,
0,
1,
4,
4,
2,
1,
0,
3,
3,
3,
1,
1,
3,
3,
1,
1,
3,
1,
2,
3,
4,
1,
4,
0,
3,
3,
1,
4,
1,
4,
0,
4,
4,
2,
3,
4,
4,
4,
1,
4,
1,
0,
3,
1,
3,
1,
3,
3,
2,
0,
0,
3,
1,
3,
4,
4,
2,
4,
0,
3,
1,
3,
3,
2,
1,
1,
0,
4,
0,
1,
0,
0,
2,
1,
4,
3,
0,
4,
0,
3,
0,
1,
0,
1,
3,
0,
4,
4,
0,
3,
4,
4,
1,
4,
4,
0,
0,
0,
0,
1,
4,
0,
0,
2,
3,
4,
2,
4,
4,
4,
1,
3,
1,
0,
4,
0,
4,
4,
1,
3,
3,
2,
1,
1,
1,
3,
4,
4,
2,
0,
0,
4,
0,
1,
0,
0,
3,
4,
3,
4,
2,
4,
1,
2,
2,
3,
2,
0,
3,
3,
2,
2,
2,
0,
3,
3,
0,
3,
1,
0,
2,
4,
1,
0,
1,
0,
3,
4,
0,
3,
0,
3,
2,
3,
3,
3,
0,
4,
1,
0,
4,
1,
2,
3,
3,
0,
0,
4,
2,
2,
4,
3,
2,
1,
4,
4,
0,
4,
4,
3,
0,
1,
0,
3,
4,
0,
2,
2,
3,
1,
4,
1,
3,
3,
4,
1,
3,
1,
4,
1,
0,
3,
1,
1,
0,
4,
4,
3,
1,
2,
0,
2,
0,
4,
1,
1,
0,
0,
0,
4,
3,
0,
1,
0,
1,
0,
2,
3,
4,
4,
4,
4,
1,
3,
4,
3,
0,
3,
2,
1,
3,
1,
2,
1,
0,
0,
4,
4,
0,
2,
2,
1,
0,
1,
4,
0,
3,
4,
1,
1,
0,
4,
4,
3,
0,
4,
2,
2,
2,
4,
0,
3,
3,
2,
1,
2,
2,
2,
4,
3,
3,
1,
2,
1,
2,
4,
2,
4,
3,
0,
2,
2,
4,
3,
3,
3,
4,
0,
0,
4,
2,
1,
1,
4,
1,
4,
0,
4,
3,
4,
4,
1,
3,
0,
0,
2,
2,
2,
2,
2,
0,
2,
1,
1,
3,
0,
4,
3,
1,
0,
3,
2,
0,
3,
3,
0,
3,
4,
1,
3,
2,
2,
2,
4,
3,
4,
2,
3,
1,
2,
3,
0,
1,
3,
1,
3,
2,
4,
4,
0,
1,
0,
0,
3,
3,
1,
4,
0,
4,
4,
2,
4,
4,
4,
2,
3,
1,
1,
3,
3,
2,
1,
1,
1,
0,
0,
1,
2,
2,
1,
3,
0,
2,
3,
4,
3,
4,
3,
4,
2,
4,
4,
3,
1,
4,
4,
2,
4,
4,
0,
0,
1,
3,
0,
0,
4,
4,
1,
3,
4,
4,
4,
2,
3,
4,
2,
0,
4,
1,
3,
3,
2,
0,
1,
0,
1,
3,
2,
0,
3,
4,
4,
0,
2,
3,
4,
2,
1,
2,
1,
1,
1,
0,
4,
2,
3,
0,
2,
2,
3,
4,
0,
0,
0,
2,
4,
4,
3,
3,
2,
1,
3,
4,
3,
2,
1,
3,
4,
4,
3,
3,
0,
1,
2,
3,
4,
2,
2,
3,
2,
1,
0,
2,
3,
4,
2,
1,
4,
4,
2,
4,
1,
2,
2,
4,
2,
0,
2,
2,
3,
1,
1,
1,
4,
2,
1,
2,
2,
4,
4,
1,
0,
2,
0,
2,
3,
0,
0,
3,
0,
2,
0,
3,
2,
4,
2,
0,
4,
1,
3,
0,
4,
2,
3,
4,
2,
0,
4,
4,
4,
3,
0,
4,
4,
0,
4,
2,
3,
2,
3,
1,
1,
2,
2,
1,
3,
0,
0,
2,
2,
2,
1,
3,
4,
1,
3,
2,
2,
1,
3,
0,
1,
4,
1,
3,
0,
2,
4,
3,
1,
0,
1,
3,
2,
3,
4,
1,
3,
1,
1,
2,
0,
2,
4,
1,
4,
0,
3,
2,
2,
1,
4,
2,
3,
4,
4,
1,
1,
4,
3,
0,
3,
1,
3,
0,
0,
3,
4,
1,
3,
3,
1,
1,
1,
1,
4,
2,
3,
4,
0,
4,
4,
4,
3,
2,
1,
3,
4,
0,
0,
4,
3,
2,
1,
0,
4,
1,
3,
4,
0,
3,
3,
1,
4,
1,
0,
4,
4,
3,
2,
4,
0,
1,
4,
0,
1,
1,
1,
2,
2,
4,
2,
1,
4,
4,
4,
2,
4,
3,
2,
2,
4,
3,
2,
1,
0,
0,
2,
1,
0,
0,
1,
1,
0,
3,
0,
0,
0,
1,
1,
3,
3,
4,
3,
4,
4,
2,
0,
1,
4,
4,
2,
3,
3,
4,
3,
4,
3,
2,
4,
3,
2,
1,
3,
1,
3,
0,
3,
1,
4,
4,
4,
4,
4,
2,
1,
4,
1,
2,
0,
1,
1,
4,
3,
0,
1,
1,
4,
3,
0,
0,
4,
2,
1,
4,
2,
4,
4,
0,
0,
1,
1,
2,
0,
3,
2,
4,
4,
3,
2,
0,
4,
3,
2,
0,
3,
0,
0,
3,
3,
0,
0,
3,
3,
1,
4,
0,
0,
2,
1,
0,
1,
0,
3,
4,
0,
4,
1,
1,
0,
3,
3,
4,
0,
4,
3,
4,
3,
2,
4,
3,
4,
0,
0,
0,
1,
2,
1,
3,
1,
2,
0,
1,
2,
1,
4,
2,
1,
4,
4,
0,
1,
0,
1,
4,
3,
0,
0,
3,
1,
4,
1,
0,
2,
4,
0,
0,
2,
1,
0,
3,
2,
1,
4,
1,
4,
2,
0,
0,
4,
2,
3,
3,
3,
1,
1,
0,
0,
4,
3,
4,
0,
1,
3,
1,
3,
0,
0,
0,
3,
3,
1,
4,
4,
2,
0,
1,
1,
0,
2,
1,
1,
4,
3,
0,
1,
2,
4,
4,
3,
0,
0,
1,
1,
2,
1,
0,
1,
2,
1,
0,
0,
0,
1,
4,
4,
3,
0,
4,
4,
2,
3,
3,
1,
3,
3,
1,
3,
0,
2,
0,
3,
4,
3,
2,
2,
0,
1,
3,
2,
1,
1,
2,
4,
0,
2,
0,
0,
3,
4,
0,
3,
0,
0,
1,
2,
1,
3,
4,
2,
1,
2,
0,
3,
0,
0,
1,
2,
4,
3,
0,
4,
2,
3,
1,
0,
1,
1,
2,
4,
4,
0,
3,
3,
1,
4,
4,
3,
4,
0,
2,
2,
4,
4,
3,
2,
1,
1,
4,
1,
4,
3,
3,
4,
0,
1,
3,
4,
0,
4,
4,
0,
0,
3,
2,
2,
3,
3,
0,
2,
3,
4,
1,
0,
4,
2,
4,
0,
2,
3,
0,
1,
1,
3,
4,
4,
2,
0,
3,
2,
3,
2,
0,
1,
2,
3,
0,
4,
0,
0,
0,
0,
2,
4,
1,
0,
2,
4,
2,
1,
4,
2,
3,
0,
4,
1,
0,
4,
1,
2,
1,
4,
2,
2,
2,
2,
0,
4,
2,
3,
3,
4,
1,
1,
3,
0,
0,
3,
2,
3,
1,
2,
0,
2,
2,
3,
1,
0,
4,
4,
2,
0,
2,
1,
3,
4,
4,
3,
0,
0,
3,
4,
3,
1,
0,
1,
0,
3,
1,
0,
2,
0,
2,
0,
4,
2,
3,
4,
0,
2,
2,
2,
1,
3,
4,
3,
0,
4,
2,
4,
4,
2,
2,
4,
1,
2,
2,
4,
0,
3,
2,
2,
4,
4,
0,
0,
1,
0,
2,
4,
4,
3,
0,
1,
2,
4,
0,
3,
3,
2,
0,
2,
2,
3,
1,
3,
2,
3,
3,
3,
3,
4,
1,
4,
0,
1,
0,
0,
2,
4,
4,
0,
0,
3,
1,
2,
1,
3,
4,
3,
4,
4,
2,
0,
4,
1,
4,
4,
0,
3,
4,
1,
0,
3,
2,
0,
3,
0,
3,
2,
1,
0,
1,
0,
4,
4,
3,
2,
3,
0,
4,
2,
0,
3,
2,
1,
4,
4,
1,
4,
3,
1,
4,
1,
2,
3,
3,
2,
4,
1,
0,
0,
0,
0,
3,
2,
3,
1,
0,
3,
0,
1,
0,
4,
3,
0,
2,
3,
2,
3,
3,
3,
0,
2,
1,
3,
4,
3,
1,
3,
0,
0,
3,
0,
3,
4,
0,
2,
2,
3,
0,
3,
4,
2,
3,
2,
0,
4,
2,
0,
1,
3,
2,
4,
4,
3,
2,
0,
2,
2,
1,
1,
2,
4,
0,
2,
4,
0,
0,
4,
0,
3,
3,
1,
0,
3,
0,
1,
4,
0,
3,
1,
4,
4,
3,
3,
0,
0,
0,
3,
4,
0,
4,
2,
4,
2,
3,
4,
3,
0,
2,
0,
0,
4,
3,
3,
4,
2,
2,
2,
1,
0,
4,
4,
1,
4,
2,
2,
2,
2,
2,
3,
3,
2,
4,
0,
1,
2,
3,
2,
0,
4,
0,
1,
4,
1,
1,
2,
4,
2,
2,
0,
0,
2,
2,
0,
0,
0,
1,
4,
4,
1,
3,
1,
3,
3,
3,
1,
4,
4,
0,
1,
1,
3,
0,
2,
1,
3,
2,
2,
4,
0,
3,
4,
2,
3,
1,
4,
0,
4,
2,
1,
0,
1,
2,
3,
3,
4,
3,
2,
1,
4,
1,
2,
2,
0,
1,
4,
3,
4,
4,
2,
2,
2,
1,
1,
3,
2,
3,
2,
2,
4,
2,
2,
2,
0,
1,
0,
0,
2,
3,
3,
4,
3,
1,
4,
4,
4,
0,
2,
1,
0,
1,
0,
1,
1,
1,
1,
3,
0,
3,
0,
1,
0,
1,
1,
3,
4,
4,
2,
1,
3,
2,
4,
3,
3,
2,
0,
1,
3,
1,
3,
0,
2,
4,
2,
1,
0,
1,
3,
3,
3,
3,
4,
4,
4,
3,
4,
2,
0,
0,
4,
1,
0,
0,
2,
2,
4,
3,
4,
1,
3,
2,
1,
3,
4,
1,
2,
1,
0,
2,
4,
2,
1,
4,
0,
3,
2,
1,
0,
1,
3,
2,
2,
2,
4,
3,
1,
2,
1,
0,
1,
0,
0,
3,
4,
0,
2,
3,
2,
1,
2,
2,
3,
2,
4,
3,
3,
0,
3,
0,
0,
0,
1,
1,
1,
2,
0,
1,
4,
1,
3,
4,
3,
2,
0,
2,
1,
3,
0,
0,
3,
1,
2,
1,
2,
4,
4,
4,
3,
2,
3,
1,
1,
1,
2,
4,
1,
0,
4,
3,
1,
1,
2,
1,
3,
2,
4,
0,
1,
2,
3,
4,
1,
4,
4,
0,
3,
3,
2,
1,
2,
0,
1,
2,
4,
1,
3,
4,
3,
0,
2,
2,
0,
0,
3,
3,
2,
3,
3,
4,
3,
2,
1,
1,
4,
3,
2,
1,
2,
2,
3,
1,
1,
2,
2,
4,
3,
0,
1,
1,
0,
0,
2,
4,
2,
2,
1,
1,
0,
2,
4,
3,
1,
3,
3,
4,
0,
2,
3,
2,
0,
0,
3,
0,
3,
1,
0,
0,
2,
4,
4,
2,
2,
3,
0,
3,
1,
1,
0,
3,
4,
1,
4,
2,
2,
2,
2,
0,
4,
3,
3,
3,
2,
0,
2,
4,
0,
4,
3,
3,
1,
0,
1,
4,
0,
0,
1,
1,
3,
0,
3,
4,
4,
3,
2,
1,
2,
3,
0,
1,
1,
0,
2,
4,
1,
3,
4,
1,
0,
0,
2,
2,
0,
3,
4,
0,
4,
3,
2,
4,
1,
4,
1,
2,
2,
1,
3,
2,
3,
0,
3,
0,
1,
3,
2,
4,
1,
1,
1,
1,
2,
0,
2,
0,
0,
3,
2,
4,
4,
1,
1,
2,
4,
2,
4,
3,
0,
1,
2,
3,
2,
2,
4,
1,
1,
1,
4,
2,
0,
3,
0,
1,
3,
2,
0,
2,
3,
0,
1,
0,
4,
3,
4,
2,
2,
2,
0,
3,
1,
1,
1,
1,
4,
4,
3,
4,
2,
3,
4,
0,
2,
0,
3,
3,
2,
3,
4,
3,
3,
3,
2,
3,
4,
2,
0,
2,
4,
0,
4,
0,
3,
4,
0,
3,
4,
3,
2,
4,
2,
4,
0,
4,
2,
1,
0,
1,
2,
3,
4,
1,
2,
3,
3,
3,
3,
4,
4,
2,
4,
3,
2,
2,
4,
3,
4,
2,
4,
2,
0,
0,
3,
4,
1,
1,
2,
1,
2,
4,
4,
0,
1,
2,
3,
4,
1,
1,
4,
1,
3,
4,
0,
0,
2,
0,
3,
4,
1,
4,
0,
0,
4,
4,
4,
0,
0,
2,
0,
0,
4,
3,
0,
3,
2,
3,
4,
4,
0,
1,
3,
1,
0,
1,
2,
1,
2,
1,
4,
4,
3,
3,
0,
2,
2,
0,
1,
2,
0,
4,
1,
4,
2,
1,
3,
1,
1,
0,
2,
0,
4,
3,
0,
3,
4,
2,
1,
1,
0,
2,
1,
4,
0,
1,
0,
0,
4,
1,
4,
0,
2,
1,
4,
3,
3,
0,
1,
3,
2,
0,
4,
3,
2,
2,
1,
3,
3,
3,
1,
3,
1,
4,
1,
4,
4,
2,
1,
2,
4,
3,
4,
4,
3,
4,
0,
4,
3,
3,
3,
4,
4,
1,
3,
4,
1,
2,
4,
0,
0,
4,
0,
0,
2,
3,
2,
3,
1,
2,
0,
2,
0,
4,
2,
3,
3,
1,
2,
3,
4,
4,
2,
1,
2,
1,
2,
1,
1,
4,
3,
0,
3,
3,
1,
1,
2,
0,
1,
2,
0,
3,
0,
1,
0,
0,
4,
0,
4,
0,
0,
2,
2,
0,
4,
1,
2,
0,
4,
4,
0,
1,
0,
2,
3,
1,
0,
2,
0,
0,
0,
4,
1,
4,
4,
4,
1,
0,
2,
4,
4,
3,
4,
4,
3,
4,
3,
4,
3,
0,
0,
2,
3,
2,
2,
0,
2,
4,
2,
0,
0,
2,
4,
3,
2,
1,
4,
1,
4,
3,
2,
2,
4,
1,
4,
2,
4,
1,
1,
1,
0,
1,
4,
0,
1,
0,
1,
3,
2,
1,
2,
0,
3,
0,
3,
2,
3,
2,
4,
4,
0,
0,
4,
2,
3,
3,
0,
2,
3,
1,
2,
1,
2,
4,
0,
3,
3,
1,
2,
4,
2,
2,
1,
0,
0,
4,
1,
0,
1,
4,
3,
0,
3,
1,
1,
3,
4,
3,
3,
2,
2,
0,
0,
1,
4,
1,
4,
1,
4,
1,
3,
3,
3,
3,
1,
4,
1,
2,
2,
1,
2,
1,
4,
4,
0,
1,
2,
0,
0,
2,
3,
0,
1,
4,
4,
2,
0,
3,
2,
4,
2,
4,
1,
4,
0,
2,
0,
1,
0,
1,
2,
3,
3,
2,
2,
0,
3,
2,
0,
2,
0,
4,
1,
4,
3,
1,
4,
1,
0,
0,
2,
1,
1,
2,
3,
0,
0,
0,
1,
3,
3,
1,
1,
0,
1,
4,
2,
0,
0,
3,
1,
2,
2,
0,
0,
0,
1,
3,
2,
1,
4,
1,
4,
1,
2,
4,
0,
4,
1,
2,
4,
0,
0,
2,
1,
4,
2,
0,
1,
2,
1,
0,
3,
3,
2,
0,
2,
1,
0,
4,
1,
2,
0,
1,
4,
4,
2,
2,
4,
2,
2,
0,
4,
1,
0,
1,
0,
0,
2,
1,
1,
2,
1,
4,
1,
3,
1,
1,
3,
3,
1,
2,
1,
4,
0,
1,
1,
0,
0,
4,
4,
4,
4,
1,
4,
4,
2,
0,
0,
1,
0,
1,
3,
3,
0,
2,
0,
1,
1,
2,
0,
1,
3,
0,
2,
2,
0,
3,
1,
2,
1,
0,
4,
1,
1,
2,
0,
0,
4,
1,
0,
3,
1,
4,
2,
0,
0,
3,
0,
0,
4,
2,
4,
4,
2,
2,
2,
3,
2,
3,
4,
0,
2,
2,
1,
2,
3,
4,
0,
2,
1,
3,
0,
3,
4,
2,
2,
3,
3,
4,
1,
2,
0,
3,
3,
4,
1,
3,
2,
1,
2,
2,
1,
3,
2,
2,
3,
3,
4,
1,
2,
0,
2,
3,
2,
4,
0,
0,
0,
4,
0,
1,
1,
4,
2,
2,
3,
3,
3,
2,
1,
4,
3,
2,
0,
2,
3,
1,
4,
3,
0,
0,
3,
1,
2,
0,
4,
2,
4,
4,
1,
4,
2,
2,
1,
3,
1,
0,
1,
4,
4,
0,
2,
0,
1,
3,
2,
1,
2,
1,
0,
3,
1,
2,
2,
0,
3,
0,
1,
3,
0,
3,
4,
0,
2,
2,
1,
1,
0,
4,
4,
3,
4,
3,
1,
2,
3,
2,
0,
1,
4,
4,
1,
2,
3,
2,
1,
0,
2,
4,
3,
3,
2,
1,
2,
4,
4,
0,
1,
2,
1,
0,
1,
1,
4,
1,
4,
2,
0,
0,
4,
4,
1,
1,
0,
1,
1,
4,
3,
4,
3,
4,
1,
1,
2,
0,
1,
1,
0,
4,
4,
1,
4,
4,
3,
2,
0,
0,
4,
2,
2,
1,
4,
3,
0,
3,
1,
1,
1,
3,
1,
0,
1,
2,
2,
0,
3,
0,
3,
3,
2,
1,
0,
1,
2,
4,
1,
4,
2,
4,
2,
3,
0,
4,
0,
0,
0,
1,
1,
3,
0,
4,
3,
1,
2,
3,
4,
0,
4,
4,
0,
3,
0,
0,
1,
3,
1,
4,
4,
4,
4,
3,
2,
1,
2,
4,
4,
0,
4,
0,
2,
1,
0,
3,
0,
0,
0,
3,
3,
3,
1,
2,
3,
3,
0,
4,
0,
0,
1,
0,
3,
3,
3,
0,
3,
3,
3,
3,
3,
4,
0,
3,
0,
4,
2,
4,
3,
0,
4,
0,
3,
1,
4,
0,
3,
3,
4,
1,
2,
3,
3,
1,
4,
1,
4,
4,
1,
1,
2,
1,
0,
3,
4,
1,
2,
1,
0,
2,
3,
3,
1,
4,
3,
0,
4,
0,
1,
2,
4,
3,
0,
0,
0,
0,
3,
2,
0,
3,
4,
3,
1,
3,
1,
0,
2,
1,
3,
4,
2,
3,
1,
4,
1,
2,
3,
2,
0,
2,
2,
4,
4,
2,
3,
2,
3,
0,
2,
0,
1,
4,
1,
3,
1,
0,
2,
2,
2,
0,
0,
1,
2,
2,
3,
3,
3,
2,
4,
3,
3,
2,
2,
4,
1,
2,
1,
3,
3,
0,
2,
1,
4,
3,
2,
1,
3,
3,
0,
4,
0,
0,
3,
4,
1,
1,
3,
2,
4,
4,
1,
1,
4,
0,
4,
4,
1,
0,
2,
0,
1,
2,
2,
2,
4,
2,
3,
3,
0,
1,
0,
4,
2,
2,
2,
1,
3,
2,
1,
4,
2,
1,
0,
0,
2,
2,
2,
3,
4,
4,
0,
3,
4,
4,
4,
1,
0,
2,
4,
4,
4,
3,
1,
1,
4,
3,
3,
4,
2,
3,
0,
4,
3,
3,
4,
4,
1,
0,
2,
0,
1,
0,
1,
4,
3,
4,
0,
3,
0,
3,
0,
4,
0,
1,
0,
1,
1,
0,
2,
4,
4,
2,
2,
4,
3,
4,
3,
1,
0,
1,
3,
3,
3,
4,
1,
2,
1,
4,
1,
1,
3,
0,
0,
3,
3,
0,
3,
4,
4,
3,
2,
1,
0,
1,
1,
0,
2,
2,
3,
0,
1,
2,
1,
2,
2,
4,
3,
3,
1,
4,
4,
3,
2,
2,
0,
0,
3,
3,
0,
1,
1,
0,
1,
3,
1,
0,
0,
0,
0,
0,
1,
1,
4,
2,
4,
0,
3,
3,
4,
0,
2,
3,
0,
3,
2,
1,
2,
0,
1,
1,
4,
4,
1,
2,
1,
1,
0,
2,
2,
4,
1,
0,
0,
0,
0,
3,
2,
2,
1,
2,
4,
2,
0,
4,
0,
4,
1,
2,
4,
2,
2,
0,
2,
3,
0,
3,
4,
3,
2,
2,
1,
3,
3,
3,
0,
3,
3,
0,
3,
4,
2,
4,
3,
4,
0,
4,
1,
4,
3,
0,
2,
3,
0,
3,
0,
3,
4,
2,
2,
2,
1,
0,
2,
1,
1,
3,
1,
1,
1,
1,
0,
0,
3,
2,
1,
4,
1,
1,
1,
2,
0,
2,
1,
4,
3,
4,
0,
1,
3,
0,
3,
0,
1,
1,
0,
2,
2,
2,
3,
1,
4,
4,
0,
0,
4,
3,
2,
2,
3,
3,
0,
1,
3,
3,
1,
4,
1,
2,
2,
2,
1,
1,
2,
1,
1,
4,
0,
2,
0,
2,
1,
4,
3,
3,
1,
0,
4,
1,
3,
2,
4,
1,
0,
1,
2,
1,
3,
0,
1,
4,
1,
1,
1,
0,
1,
3,
1,
0,
4,
4,
2,
1,
3,
1,
1,
0,
2,
1,
2,
4,
0,
0,
3,
3,
3,
4,
4,
2,
1,
2,
3,
2,
3,
1,
0,
2,
1,
4,
0,
0,
2,
1,
2,
4,
3,
1,
3,
2,
4,
0,
4,
0,
4,
2,
4,
3,
3,
0,
0,
4,
0,
2,
0,
2,
1,
3,
1,
4,
3,
4,
4,
4,
4,
2,
2,
1,
3,
2,
0,
2,
1,
3,
0,
2,
0,
2,
0,
1,
1,
2,
1,
1,
4,
3,
3,
2,
1,
0,
3,
2,
4,
0,
2,
2,
3,
0,
2,
2,
3,
4,
4,
4,
2,
1,
3,
1,
1,
0,
1,
4,
1,
3,
1,
2,
2,
1,
1,
1,
2,
2,
2,
1,
0,
0,
4,
0,
1,
2,
1,
4,
0,
1,
0,
0,
1,
2,
3,
2,
4,
4,
4,
3,
3,
1,
0,
0,
3,
3,
3,
2,
4,
4,
3,
0,
0,
0,
2,
2,
0,
3,
1,
0,
2,
1,
2,
1,
1,
1,
4,
0,
3,
2,
3,
3,
3,
0,
3,
4,
0,
0,
0,
2,
1,
4,
1,
0,
4,
2,
2,
2,
3,
0,
4,
4,
1,
3,
2,
3,
3,
2,
3,
4,
4,
2,
0,
0,
2,
3,
2,
2,
3,
2,
2,
1,
4,
1,
4,
1,
4,
1,
1,
2,
1,
3,
1,
2,
1,
2,
4,
0,
2,
4,
1,
4,
3,
0,
3,
3,
3,
0,
2,
0,
0,
4,
0,
1,
1,
2,
0,
0,
0,
0,
0,
1,
1,
0,
0,
3,
3,
2,
1,
1,
2,
3,
2,
0,
0,
1,
0,
1,
2,
0,
3,
2,
2,
1,
3,
2,
4,
2,
4,
4,
3,
0,
1,
0,
2,
0,
2,
4,
2,
1,
2,
0,
2,
4,
1,
4,
3,
3,
4,
0,
1,
4,
0,
0,
4,
0,
3,
0,
1,
0,
0,
0,
4,
4,
2,
1,
0,
1,
2,
4,
1,
1,
2,
0,
4,
1,
1,
2,
4,
4,
1,
3,
3,
1,
4,
0,
0,
2,
0,
3,
2,
1,
2,
3,
2,
0,
4,
3,
2,
1,
0,
4,
2,
3,
0,
4,
1,
0,
2,
2,
3,
4,
2,
2,
1,
4,
3,
1,
1,
2,
3,
4,
4,
0,
0,
1,
2,
0,
2,
1,
1,
1,
0,
2,
2,
4,
3,
2,
3,
3,
3,
4,
4,
0,
0,
3,
1,
0,
0,
0,
3,
2,
3,
3,
3,
2,
3,
3,
4,
3,
0,
1,
1,
3,
2,
1,
0,
4,
2,
0,
2,
1,
1,
2,
4,
1,
3,
4,
2,
1,
1,
3,
4,
2,
1,
2,
1,
1,
2,
0,
4,
1,
0,
4,
4,
4,
1,
1,
3,
0,
1,
2,
4,
1,
4,
4,
1,
2,
1,
0,
0,
0,
4,
4,
3,
0,
2,
4,
0,
1,
4,
2,
1,
1,
1,
1,
4,
0,
1,
2,
1,
3,
4,
3,
1,
2,
4,
2,
3,
2,
2,
3,
2,
0,
1,
0,
4,
3,
2,
3,
2,
1,
3,
2,
1,
3,
0,
3,
0,
3,
2,
3,
2,
4,
0,
4,
0,
2,
1,
4,
1,
2,
4,
3,
2,
0,
1,
0,
3,
3,
1,
2,
3,
2,
3,
4,
3,
0,
3,
2,
4,
2,
2,
4,
1,
2,
2,
1,
3,
0,
1,
3,
3,
1,
3,
3,
4,
0,
1,
1,
0,
2,
4,
1,
4,
2,
0,
2,
1,
2,
3,
0,
1,
0,
4,
0,
0,
0,
4,
4,
4,
2,
0,
4,
3,
0,
2,
1,
0,
3,
3,
0,
4,
4,
3,
4,
3,
1,
2,
0,
3,
1,
0,
4,
3,
0,
0,
4,
3,
0,
0,
3,
4,
2,
3,
4,
2,
2,
3,
3,
3,
0,
1,
3,
1,
1,
4,
4,
3,
2,
2,
4,
3,
4,
2,
4,
0,
0,
2,
2,
3,
2,
3,
0,
2,
1,
0,
4,
0,
2,
4,
3,
4,
4,
2,
1,
3,
4,
1,
0,
4,
3,
4,
3,
0,
0,
2,
2,
2,
3,
2,
1,
4,
0,
2,
2,
2,
4,
1,
3,
4,
1,
1,
4,
4,
3,
1,
2,
3,
4,
2,
1,
1,
3,
3,
4,
2,
1,
0,
0,
4,
2,
1,
4,
2,
4,
1,
1,
1,
4,
1,
1,
3,
3,
3,
1,
0,
1,
1,
2,
0,
0,
1,
3,
4,
2,
2,
3,
0,
1,
1,
3,
3,
1,
4,
3,
1,
1,
1,
4,
3,
0,
1,
2,
4,
1,
0,
3,
3,
1,
3,
0,
2,
4,
0,
4,
0,
1,
4,
0,
0,
2,
2,
1,
0,
2,
3,
2,
2,
4,
3,
3,
0,
0,
4,
2,
2,
2,
0,
4,
3,
3,
4,
2,
4,
2,
2,
3,
1,
1,
0,
0,
2,
1,
4,
2,
1,
3,
0,
0,
4,
0,
4,
1,
3,
4,
1,
3,
0,
0,
0,
2,
2,
4,
4,
2,
4,
1,
0,
4,
4,
3,
2,
0,
4,
2,
0,
3,
3,
2,
0,
3,
0,
4,
3,
1,
3,
4,
4,
1,
4,
3,
2,
1,
2,
2,
0,
3,
4,
3,
4,
0,
4,
4,
2,
4,
2,
0,
1,
4,
4,
4,
2,
1,
2,
2,
3,
4,
0,
0,
1,
1,
2,
3,
0,
2,
3,
2,
3,
3,
2,
4,
3,
4,
3,
1,
3,
0,
3,
3,
2,
3,
4,
3,
2,
1,
4,
0,
3,
4,
1,
3,
4,
1,
0,
4,
1,
2,
2,
2,
1,
2,
3,
1,
1,
4,
3,
2,
2,
0,
3,
0,
2,
2,
0,
0,
0,
4,
2,
1,
1,
4,
3,
3,
4,
0,
0,
4,
4,
1,
4,
2,
0,
3,
3,
3,
1,
0,
4,
4,
0,
4,
4,
1,
3,
4,
4,
4,
2,
4,
3,
4,
0,
3,
0,
4,
3,
2,
2,
2,
1,
4,
0,
0,
3,
4,
0,
2,
0,
2,
2,
3,
0,
3,
3,
4,
4,
0,
3,
4,
3,
2,
2,
4,
2,
1,
0,
1,
3,
3,
0,
4,
3,
3,
3,
3,
1,
4,
2,
2,
1,
0,
2,
1,
2,
3,
2,
0,
1,
4,
2,
4,
1,
3,
2,
4,
2,
0,
3,
1,
2,
3,
3,
2,
0,
2,
4,
4,
4,
2,
3,
0,
0,
0,
1,
0,
1,
1,
4,
1,
1,
1,
0,
0,
3,
4,
3,
2,
3,
3,
4,
3,
3,
2,
4,
3,
1,
0,
3,
1,
3,
2,
2,
0,
4,
4,
0,
0,
1,
0,
4,
2,
4,
3,
1,
2,
4,
1,
0,
4,
4,
2,
1,
3,
0,
0,
4,
1,
0,
3,
3,
3,
2,
3,
4,
1,
2,
0,
0,
3,
0,
2,
3,
3,
2,
2,
1,
3,
1,
1,
0,
0,
1,
3,
3,
2,
2,
2,
2,
0,
4,
0,
2,
0,
1,
0,
3,
3,
0,
0,
3,
1,
3,
4,
1,
3,
0,
4,
4,
4,
1,
1,
3,
3,
1,
1,
2,
1,
2,
3,
1,
4,
2,
4,
2,
0,
1,
0,
0,
2,
3,
3,
0,
4,
0,
3,
2,
1,
1,
0,
0,
2,
2,
1,
2,
1,
0,
1,
3,
3,
1,
2,
2,
0,
2,
1,
0,
3,
2,
0,
1,
1,
3,
0,
0,
2,
1,
4,
3,
1,
1,
4,
1,
0,
3,
3,
2,
4,
1,
0,
4,
2,
0,
3,
2,
3,
4,
1,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
1,
4,
3,
2,
3,
2,
0,
4,
1,
1,
4,
3,
4,
2,
1,
4,
0,
0,
2,
3,
4,
2,
2,
1,
2,
1,
4,
1,
2,
0,
1,
4,
2,
3,
0,
0,
4,
2,
4,
1,
2,
4,
2,
2,
4,
4,
2,
4,
1,
2,
1,
0,
4,
4,
0,
2,
3,
0,
1,
2,
4,
2,
2,
0,
2,
4,
2,
2,
2,
4,
4,
3,
0,
4,
4,
1,
0,
4,
0,
1,
4,
4,
0,
2,
3,
1,
2,
1,
2,
3,
1,
1,
3,
1,
0,
1,
0,
4,
4,
3,
2,
3,
4,
4,
1,
4,
1,
2,
1,
1,
4,
1,
1,
3,
3,
0,
4,
3,
0,
0,
3,
1,
3,
0,
2,
3,
0,
1,
0,
1,
3,
1,
0,
4,
4,
1,
1,
2,
2,
3,
4,
3,
4,
1,
2,
4,
3,
2,
3,
4,
3,
3,
4,
2,
0,
3,
3,
4,
3,
0,
0,
1,
0,
3,
2,
2,
1,
1,
3,
2,
3,
0,
3,
3,
4,
3,
3,
3,
2,
2,
0,
3,
2,
2,
3,
0,
3,
1,
4,
1,
4,
2,
2,
1,
0,
1,
2,
0,
0,
2,
2,
0,
2,
0,
1,
4,
3,
1,
2,
2,
1,
3,
0,
2,
2,
1,
4,
4,
0,
2,
4,
1,
3,
2,
4,
0,
4,
0,
4,
2,
4,
2,
3,
4,
3,
0,
4,
3,
3,
2,
4,
0,
3,
4,
2,
0,
3,
2,
4,
0,
4,
1,
1,
1,
4,
2,
4,
2,
2,
4,
3,
2,
1,
4,
1,
1,
4,
3,
3,
0,
3,
0,
3,
3,
4,
3,
0,
0,
4,
2,
0,
0,
3,
2,
0,
3,
0,
0,
1,
0,
0,
4,
3,
2,
0,
4,
0,
3,
3,
3,
2,
0,
0,
0,
0,
2,
3,
2,
2,
3,
3,
2,
4,
0,
3,
3,
4,
2,
1,
2,
0,
0,
3,
0,
3,
2,
4,
1,
2,
0,
4,
1,
3,
3,
1,
0,
4,
3,
2,
0,
1,
0,
2,
3,
4,
3,
3,
1,
1,
2,
3,
3,
0,
3,
2,
2,
1,
0,
1,
2,
2,
1,
1,
3,
2,
0,
0,
2,
3,
1,
2,
3,
0,
4,
3,
2,
3,
0,
0,
0,
2,
0,
3,
0,
2,
0,
2,
2,
1,
2,
3,
0,
0,
2,
1,
0,
4,
1,
4,
4,
3,
2,
0,
3,
4,
3,
1,
3,
4,
2,
0,
3,
0,
2,
1,
4,
4,
2,
0,
3,
0,
0,
2,
1,
0,
3,
3,
4,
1,
1,
2,
3,
2,
1,
1,
1,
2,
4,
3,
1,
1,
3,
1,
4,
2,
4,
2,
1,
4,
0,
1,
3,
0,
1,
2,
2,
1,
4,
4,
4,
3,
0,
0,
1,
1,
2,
2,
1,
3,
2,
2,
0,
2,
3,
1,
3,
3,
2,
2,
0,
4,
3,
2,
1,
4,
3,
1,
2,
2,
2,
4,
4,
0,
4,
2,
1,
2,
2,
1,
4,
0,
2,
3,
4,
2,
2,
3,
3,
3,
2,
2,
3,
3,
2,
0,
3,
0,
2,
1,
3,
1,
1,
2,
2,
2,
3,
0,
0,
0,
3,
2,
0,
3,
2,
1,
0,
2,
1,
1,
3,
3,
0,
3,
1,
2,
3,
3,
3,
2,
1,
3,
1,
0,
2,
3,
1,
3,
3,
2,
4,
2,
4,
3,
0,
4,
2,
0,
2,
4,
1,
0,
3,
1,
1,
1,
4,
1,
0,
2,
1,
4,
2,
2,
0,
0,
1,
3,
2,
4,
2,
4,
4,
1,
4,
1,
0,
0,
3,
1,
2,
1,
4,
3,
3,
3,
4,
4,
1,
3,
4,
3,
3,
3,
4,
4,
1,
0,
3,
3,
0,
2,
2,
4,
0,
4,
4,
2,
0,
3,
3,
3,
3,
0,
2,
0,
3,
0,
2,
4,
0,
0,
1,
2,
4,
3,
4,
2,
2,
0,
0,
1,
2,
2,
4,
1,
1,
3,
3,
4,
2,
2,
4,
0,
4,
2,
4,
2,
0,
0,
1,
4,
1,
1,
2,
2,
1,
3,
0,
4,
1,
1,
4,
2,
1,
4,
0,
2,
3,
1,
4,
2,
1,
0,
3,
4,
1,
4,
1,
3,
1,
4,
4,
0,
1,
4,
4,
1,
2,
2,
2,
4,
2,
2,
1,
3,
4,
2,
4,
4,
3,
2,
2,
4,
4,
1,
4,
0,
2,
1,
2,
4,
0,
4,
2,
1,
0,
1,
2,
1,
0,
1,
0,
2,
3,
4,
3,
1,
3,
0,
4,
3,
0,
0,
3,
1,
4,
4,
0,
1,
2,
3,
4,
2,
4,
3,
3,
0,
4,
1,
2,
4,
2,
2,
1,
1,
3,
0,
2,
3,
0,
1,
4,
3,
2,
2,
0,
1,
3,
2,
1,
0,
3,
4,
2,
2,
4,
2,
4,
1,
2,
0,
1,
4,
3,
1,
3,
4,
4,
2,
3,
3,
3,
4,
1,
1,
3,
4,
3,
4,
2,
3,
2,
2,
4,
1,
0,
2,
0,
2,
0,
4,
1,
4,
4,
1,
2,
2,
0,
1,
1,
2,
4,
0,
1,
2,
3,
2,
1,
3,
0,
0,
3,
1,
0,
1,
4,
3,
4,
4,
3,
2,
1,
4,
0,
2,
1,
2,
4,
0,
3,
0,
3,
1,
1,
0,
0,
2,
0,
4,
3,
3,
0,
0,
2,
0,
3,
3,
2,
0,
3,
4,
4,
1,
2,
1,
2,
0,
0,
4,
1,
4,
0,
1,
4,
1,
3,
3,
1,
0,
1,
4,
4,
4,
4,
2,
0,
3,
2,
3,
0,
2,
2,
2,
1,
1,
4,
3,
4,
0,
4,
3,
2,
2,
2,
4,
2,
4,
1,
3,
0,
4,
3,
2,
4,
0,
1,
3,
4,
0,
0,
0,
0,
4,
3,
0,
2,
4,
4,
2,
3,
4,
4,
2,
0,
3,
1,
1,
0,
4,
2,
4,
1,
2,
4,
2,
4,
4,
1,
0,
3,
1,
4,
4,
0,
4,
3,
3,
0,
4,
2,
0,
4,
4,
2,
3,
2,
1,
2,
3,
3,
3,
2,
2,
3,
0,
0,
0,
3,
4,
2,
1,
4,
3,
3,
0,
4,
1,
3,
2,
0,
4,
4,
2,
3,
4,
4,
2,
1,
4,
0,
1,
0,
1,
3,
0,
4,
2,
4,
1,
3,
3,
0,
3,
4,
1,
2,
2,
1,
4,
3,
4,
1,
3,
0,
0,
3,
3,
3,
4,
0,
3,
1,
0,
2,
0,
2,
2,
3,
1,
2,
3,
1,
2,
0,
2,
2,
1,
3,
3,
3,
0,
0,
2,
1,
0,
2,
3,
2,
1,
2,
3,
3,
0,
3,
4,
1,
1,
1,
2,
0,
1,
4,
4,
3,
0,
1,
1,
2,
1,
2,
4,
4,
2,
4,
2,
1,
4,
2,
4,
1,
4,
1,
0,
3,
3,
2,
2,
1,
0,
2,
1,
3,
3,
3,
0,
1,
1,
0,
4,
2,
1,
3,
2,
3,
4,
1,
0,
2,
1,
3,
3,
1,
4,
3,
3,
0,
2,
1,
1,
2,
3,
0,
4,
1,
0,
0,
2,
0,
2,
4,
0,
1,
4,
0,
4,
4,
2,
3,
3,
3,
0,
0,
3,
0,
3,
0,
4,
3,
0,
0,
1,
3,
2,
3,
3,
4,
3,
1,
3,
2,
2,
2,
3,
4,
3,
2,
4,
0,
3,
3,
3,
3,
4,
3,
4,
3,
3,
2,
3,
4,
2,
4,
2,
0,
4,
4,
3,
4,
1,
2,
4,
0,
0,
3,
1,
1,
1,
3,
4,
2,
0,
0,
1,
4,
4,
2,
2,
0,
4,
2,
2,
1,
2,
2,
1,
4,
0,
4,
4,
1,
1,
3,
0,
2,
1,
3,
3,
4,
4,
3,
0,
3,
3,
3,
4,
3,
4,
1,
1,
0,
3,
1,
4,
0,
4,
4,
1,
0,
4,
2,
1,
4,
4,
1,
1,
2,
2,
1,
0,
1,
0,
4,
2,
3,
0,
4,
1,
1,
0,
1,
3,
0,
1,
0,
3,
1,
4,
1,
2,
0,
3,
1,
3,
4,
1,
4,
4,
4,
3,
3,
4,
2,
4,
4,
3,
4,
1,
2,
3,
2,
4,
2,
2,
4,
4,
2,
3,
0,
0,
0,
0,
1,
4,
2,
0,
4,
3,
4,
3,
0,
3,
1,
3,
1,
2,
4,
0,
4,
0,
4,
2,
2,
1,
1,
1,
0,
2,
0,
0,
3,
4,
0,
3,
4,
4,
1,
2,
1,
2,
1,
0,
2,
3,
1,
4,
1,
0,
2,
3,
4,
4,
2,
4,
1,
1,
4,
0,
3,
3,
0,
4,
2,
0,
1,
1,
0,
3,
3,
0,
1,
3,
3,
1,
0,
0,
2,
3,
3,
3,
2,
2,
4,
2,
0,
0,
1,
1,
0,
1,
2,
2,
0,
0,
3,
2,
0,
4,
1,
4,
2,
2,
2,
0,
3,
1,
4,
0,
0,
3,
2,
1,
3,
2,
0,
1,
1,
2,
0,
1,
4,
3,
0,
3,
2,
4,
1,
1,
4,
1,
3,
0,
0,
4,
2,
3,
1,
1,
1,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
1,
3,
2,
1,
3,
3,
0,
2,
4,
4,
4,
0,
0,
2,
0,
2,
3,
2,
3,
3,
1,
1,
0,
3,
2,
2,
0,
1,
3,
0,
4,
1,
3,
1,
2,
2,
3,
0,
0,
3,
1,
1,
3,
3,
3,
1,
3,
0,
3,
1,
0,
0,
0,
1,
0,
4,
4,
0,
4,
0,
0,
2,
2,
1,
0,
4,
0,
0,
0,
4,
0,
2,
1,
2,
1,
4,
0,
3,
0,
2,
1,
4,
4,
3,
4,
4,
0,
0,
4,
1,
0,
3,
3,
4,
2,
2,
3,
4,
1,
2,
2,
2,
4,
3,
2,
0,
2,
0,
3,
3,
1,
0,
1,
3,
4,
0,
0,
4,
0,
4,
0,
2,
2,
4,
2,
4,
1,
4,
4,
3,
3,
2,
1,
0,
4,
2,
3,
1,
2,
0,
3,
3,
0,
0,
4,
2,
4,
2,
2,
4,
4,
1,
3,
3,
2,
1,
0,
2,
1,
0,
1,
2,
0,
4,
4,
4,
0,
4,
2,
1,
4,
0,
0,
3,
2,
1,
3,
4,
0,
3,
4,
3,
0,
3,
4,
2,
1,
3,
0,
0,
2,
1,
1,
1,
0,
1,
4,
4,
1,
1,
1,
4,
0,
2,
2,
0,
2,
1,
2,
2,
1,
4,
3,
3,
0,
1,
2,
3,
0,
2,
4,
3,
1,
3,
0,
3,
4,
3,
4,
1,
1,
1,
4,
3,
0,
4,
1,
1,
0,
0,
2,
3,
2,
2,
3,
2,
1,
0,
1,
1,
4,
2,
3,
2,
3,
4,
4,
0,
3,
0,
1,
0,
2,
0,
0,
0,
3,
1,
2,
4,
1,
0,
4,
1,
1,
4,
1,
2,
0,
2,
3,
1,
3,
2,
0,
1,
4,
0,
0,
1,
0,
4,
0,
3,
1,
2,
0,
0,
0,
1,
1,
4,
4,
3,
4,
4,
2,
1,
4,
2,
4,
4,
3,
0,
0,
1,
4,
0,
0,
2,
4,
4,
4,
1,
2,
0,
3,
2,
0,
1,
0,
3,
1,
1,
0,
4,
1,
1,
2,
3,
4,
0,
0,
0,
0,
0,
2,
3,
4,
3,
2,
1,
2,
1,
1,
3,
1,
1,
2,
0,
3,
1,
4,
3,
3,
0,
0,
0,
0,
2,
3,
3,
2,
3,
2,
1,
2,
0,
1,
3,
3,
1,
1,
1,
3,
1,
3,
4,
4,
0,
4,
1,
2,
0,
1,
2,
4,
3,
2,
2,
0,
1,
4,
4,
1,
3,
0,
4,
4,
4,
4,
3,
3,
3,
2,
2,
1,
2,
3,
4,
4,
3,
4,
1,
3,
2,
1,
4,
0,
4,
0,
3,
0,
0,
1,
4,
0,
2,
1,
4,
4,
2,
1,
4,
2,
1,
3,
4,
0,
4,
0,
4,
0,
4,
2,
0,
3,
3,
3,
0,
3,
0,
0,
1,
3,
3,
3,
2,
0,
1,
3,
2,
3,
0,
0,
0,
4,
4,
4,
4,
2,
2,
4,
3,
2,
4,
0,
2,
4,
0,
3,
2,
2,
4,
4,
4,
0,
1,
4,
4,
3,
4,
2,
1,
2,
0,
4,
2,
1,
3,
3,
1,
1,
1,
0,
3,
0,
3,
2,
0,
4,
2,
2,
2,
0,
4,
4,
3,
4,
2,
4,
2,
3,
3,
4,
4,
0,
3,
3,
3,
0,
2,
1,
4,
1,
3,
4,
0,
3,
4,
3,
2,
4,
1,
0,
1,
2,
4,
4,
1,
2,
3,
2,
2,
0,
4,
4,
2,
1,
1,
3,
0,
2,
4,
4,
0,
0,
1,
3,
0,
2,
3,
2,
1,
0,
4,
4,
2,
3,
2,
1,
0,
4,
2,
1,
0,
1,
3,
0,
4,
0,
4,
1,
2,
1,
3,
0,
2,
0,
0,
4,
0,
2,
3,
0,
3,
3,
1,
3,
1,
1,
0,
2,
3,
2,
0,
4,
3,
2,
2,
2,
1,
2,
0,
1,
1,
0,
4,
0,
3,
4,
3,
1,
3,
1,
4,
2,
2,
2,
0,
2,
0,
4,
2,
0,
1,
4,
2,
3,
3,
1,
4,
3,
0,
4,
1,
1,
3,
4,
0,
2,
4,
1,
2,
1,
3,
0,
0,
3,
2,
2,
0,
2,
2,
2,
3,
4,
1,
1,
3,
0,
2,
2,
2,
4,
0,
3,
2,
3,
0,
1,
0,
0,
3,
4,
4,
0,
3,
4,
0,
3,
3,
3,
0,
3,
1,
1,
4,
3,
1,
4,
3,
3,
3,
1,
3,
3,
0,
1,
4,
2,
4,
1,
4,
2,
0,
2,
3,
1,
2,
2,
0,
1,
0,
4,
3,
3,
2,
4,
0,
0,
3,
2,
3,
2,
1,
3,
3,
2,
3,
4,
4,
3,
3,
0,
2,
0,
4,
4,
4,
1,
3,
2,
3,
1,
2,
4,
2,
4,
1,
0,
0,
0,
3,
4,
3,
4,
0,
4,
3,
2,
3,
0,
2,
2,
1,
2,
3,
1,
4,
0,
4,
1,
4,
4,
1,
4,
0,
1,
2,
1,
1,
3,
4,
0,
0,
3,
1,
2,
4,
1,
0,
0,
1,
1,
3,
0,
3,
2,
4,
0,
1,
2,
4,
1,
2,
2,
4,
4,
4,
0,
4,
1,
4,
0,
1,
1,
4,
2,
4,
0,
4,
0,
2,
1,
4,
4,
1,
1,
1,
1,
1,
3,
3,
1,
4,
4,
0,
1,
3,
4,
1,
1,
3,
3,
4,
2,
0,
3,
4,
4,
0,
4,
4,
4,
3,
4,
2,
1,
2,
3,
1,
4,
3,
4,
4,
3,
2,
1,
2,
0,
2,
3,
0,
2,
3,
4,
0,
1,
3,
2,
3,
2,
4,
4,
2,
2,
4,
2,
2,
4,
4,
3,
3,
1,
4,
3,
3,
2,
1,
2,
4,
4,
3,
4,
1,
1,
2,
3,
0,
4,
2,
3,
4,
4,
2,
0,
1,
4,
0,
4,
2,
4,
4,
3,
2,
1,
4,
3,
3,
0,
2,
2,
3,
3,
0,
0,
1,
1,
0,
0,
2,
2,
1,
1,
3,
4,
0,
1,
4,
1,
3,
3,
2,
3,
4,
2,
0,
0,
1,
0,
0,
4,
4,
1,
1,
0,
3,
0,
4,
4,
4,
4,
0,
4,
0,
0,
3,
0,
2,
4,
4,
3,
2,
1,
1,
3,
2,
2,
0,
4,
0,
2,
1,
0,
4,
3,
2,
1,
3,
0,
2,
2,
4,
1,
2,
2,
4,
3,
1,
3,
0,
1,
3,
2,
2,
4,
1,
1,
4,
0,
0,
3,
1,
1,
0,
2,
1,
4,
4,
1,
4,
1,
0,
4,
4,
1,
3,
0,
4,
3,
2,
1,
0,
0,
4,
1,
0,
0,
2,
3,
1,
4,
0,
2,
3,
0,
2,
3,
4,
2,
3,
1,
2,
0,
3,
0,
3,
4,
2,
4,
1,
3,
1,
0,
0,
0,
1,
4,
1,
0,
2,
3,
4,
3,
2,
0,
2,
4,
2,
4,
1,
4,
1,
1,
4,
0,
0,
4,
2,
4,
1,
3,
2,
2,
1,
0,
1,
2,
2,
1,
2,
2,
1,
3,
1,
3,
1,
4,
0,
3,
3,
4,
4,
0,
4,
1,
1,
1,
2,
1,
4,
1,
0,
3,
3,
4,
2,
2,
4,
0,
4,
3,
3,
1,
2,
0,
4,
0,
4,
2,
0,
4,
1,
4,
1,
1,
2,
4,
3,
3,
2,
2,
4,
2,
3,
1,
4,
4,
1,
0,
2,
3,
1,
1,
2,
1,
2,
0,
3,
3,
3,
0,
3,
4,
2,
0,
2,
3,
1,
4,
1,
1,
3,
2,
4,
2,
0,
3,
0,
3,
0,
3,
4,
1,
4,
3,
3,
4,
4,
2,
1,
2,
4,
2,
0,
0,
0,
0,
4,
3,
0,
4,
1,
4,
2,
0,
4,
0,
4,
3,
2,
0,
1,
4,
4,
2,
1,
1,
3,
4,
0,
1,
2,
3,
3,
2,
0,
0,
0,
4,
2,
1,
2,
0,
0,
4,
0,
1,
1,
3,
4,
1,
2,
0,
2,
4,
3,
1,
1,
1,
3,
2,
1,
1,
3,
2,
1,
4,
3,
2,
0,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
0,
2,
0,
1,
4,
2,
2,
1,
2,
4,
3,
2,
1,
3,
3,
3,
3,
0,
0,
1,
0,
1,
2,
4,
0,
3,
3,
3,
3,
4,
0,
4,
2,
1,
0,
4,
4,
3,
0,
2,
4,
4,
4,
0,
4,
4,
1,
4,
3,
4,
0,
1,
3,
0,
3,
3,
2,
1,
3,
0,
3,
2,
0,
3,
0,
1,
4,
0,
3,
0,
4,
0,
0,
4,
4,
2,
2,
3,
2,
1,
3,
4,
4,
1,
4,
1,
4,
3,
0,
3,
1,
4,
3,
0,
3,
0,
1,
2,
1,
2,
3,
2,
4,
2,
2,
4,
0,
0,
0,
2,
2,
0,
0,
0,
2,
2,
2,
3,
1,
4,
1,
3,
1,
0,
2,
2,
2,
0,
2,
3,
2,
4,
0,
3,
1,
0,
3,
4,
2,
4,
0,
1,
2,
4,
4,
3,
4,
0,
1,
4,
3,
3,
2,
4,
4,
2,
1,
1,
1,
3,
3,
0,
2,
1,
1,
0,
1,
0,
4,
3,
4,
4,
4,
2,
0,
1,
4,
2,
0,
1,
3,
2,
4,
1,
3,
2,
4,
1,
3,
1,
0,
4,
3,
1,
4,
1,
1,
4,
1,
1,
0,
3,
4,
3,
0,
1,
4,
0,
3,
0,
0,
4,
2,
0,
1,
1,
4,
0,
1,
3,
0,
2,
2,
2,
4,
4,
3,
1,
3,
2,
0,
4,
2,
4,
2,
2,
1,
0,
3,
4,
3,
1,
0,
2,
0,
1,
4,
4,
0,
1,
1,
1,
4,
2,
4,
4,
1,
2,
1,
4,
4,
4,
3,
3,
3,
1,
3,
4,
0,
1,
0,
2,
0,
0,
3,
3,
1,
3,
2,
1,
0,
0,
1,
0,
1,
2,
3,
0,
2,
1,
3,
3,
2,
4,
3,
2,
2,
1,
4,
3,
2,
0,
3,
2,
3,
2,
2,
3,
0,
0,
2,
4,
3,
2,
4,
2,
2,
3,
0,
3,
0,
1,
0,
3,
2,
1,
3,
4,
1,
1,
1,
4,
4,
2,
3,
1,
3,
2,
3,
4,
1,
1,
3,
4,
0,
3,
4,
4,
4,
4,
2,
3,
3,
4,
3,
0,
0,
2,
1,
1,
3,
3,
2,
0,
0,
2,
1,
2,
0,
0,
3,
4,
4,
4,
4,
4,
1,
3,
2,
0,
1,
3,
4,
2,
2,
1,
3,
1,
2,
3,
4,
3,
0,
3,
0,
4,
2,
2,
4,
0,
1,
4,
2,
3,
0,
0,
0,
2,
2,
3,
2,
0,
2,
3,
3,
1,
0,
4,
4,
3,
0,
4,
0,
4,
1,
3,
1,
2,
1,
2,
2,
4,
3,
2,
4,
3,
2,
0,
1,
0,
4,
0,
1,
2,
0,
4,
1,
0,
2,
3,
2,
3,
1,
3,
4,
1,
1,
1,
2,
1,
1,
3,
0,
4,
4,
0,
1,
2,
1,
2,
4,
2,
1,
1,
1,
0,
1,
2,
2,
4,
1,
0,
0,
4,
3,
4,
3,
0,
3,
4,
4,
2,
0,
3,
3,
4,
1,
1,
3,
1,
2,
3,
4,
3,
1,
4,
3,
4,
3,
4,
0,
4,
3,
2,
4,
0,
1,
4,
2,
4,
3,
0,
0,
2,
0,
2,
0,
4,
4,
3,
3,
1,
3,
2,
4,
1,
2,
2,
4,
1,
0,
3,
3,
1,
1,
2,
3,
3,
3,
4,
4,
0,
1,
4,
2,
4,
3,
2,
4,
1,
1,
1,
1,
2,
3,
4,
2,
0,
4,
2,
0,
4,
2,
4,
4,
0,
4,
3,
1,
1,
2,
1,
1,
3,
4,
1,
0,
1,
0,
2,
1,
0,
1,
3,
2,
0,
1,
0,
0,
1,
0,
3,
4,
3,
4,
4,
1,
1,
1,
2,
3,
1,
4,
3,
1,
1,
2,
2,
3,
4,
2,
1,
1,
4,
2,
4,
0,
4,
4,
0,
1,
2,
2,
1,
2,
0,
1,
1,
1,
1,
0,
4,
0,
3,
4,
4,
2,
2,
0,
4,
1,
1,
4,
3,
2,
0,
0,
3,
2,
0,
2,
4,
0,
1,
2,
1,
4,
2,
2,
3,
3,
0,
0,
4,
4,
0,
3,
2,
1,
1,
4,
4,
3,
1,
3,
1,
0,
4,
0,
2,
4,
1,
2,
2,
1,
3,
0,
1,
0,
2,
1,
2,
3,
1,
1,
4,
3,
2,
0,
1,
0,
3,
1,
0,
3,
1,
1,
2,
1,
0,
4,
1,
1,
4,
0,
1,
1,
2,
2,
4,
4,
1,
2,
2,
4,
1,
1,
4,
3,
3,
1,
4,
1,
0,
4,
3,
2,
0,
0,
1,
1,
1,
2,
0,
1,
3,
4,
1,
4,
4,
4,
4,
3,
1,
4,
2,
3,
4,
4,
4,
4,
1,
0,
1,
4,
2,
3,
1,
0,
0,
4,
4,
1,
4,
3,
2,
4,
2,
3,
1,
4,
4,
2,
1,
3,
0,
2,
2,
2,
1,
0,
2,
2,
0,
3,
3,
4,
3,
1,
4,
0,
2,
4,
3,
1,
0,
1,
3,
2,
0,
4,
4,
1,
2,
4,
3,
3,
4,
1,
4,
0,
4,
3,
2,
1,
3,
3,
3,
3,
2,
3,
3,
2,
4,
4,
1,
0,
2,
0,
3,
4,
1,
0,
3,
0,
3,
2,
0,
0,
0,
4,
2,
1,
3,
1,
0,
0,
4,
2,
3,
4,
3,
0,
3,
4,
4,
1,
3,
1,
1,
2,
0,
3,
0,
3,
4,
1,
1,
2,
3,
4,
0,
1,
2,
4,
1,
2,
4,
0,
4,
2,
2,
2,
2,
2,
1,
4,
0,
0,
0,
3,
3,
1,
4,
0,
4,
3,
0,
1,
0,
1,
3,
0,
3,
2,
3,
1,
0,
2,
0,
3,
1,
4,
3,
0,
2,
1,
3,
4,
1,
1,
0,
4,
4,
3,
3,
0,
3,
1,
3,
2,
3,
1,
1,
1,
2
]
}