YES
4 1 4 
YES
2 1 2 
YES
1 3 2 3 1 
YES
2 1 1 1 2 
YES
1 2 3 2 1 
YES
1 1 1 
YES
1 2 1 
YES
2 1 1 1 2 
YES
1 1 2 1 1 
YES
1 2 1 
YES
1 2 1 
YES
3 1 3 
YES
1 
YES
2 1 2 
YES
4 1 4 
YES
2 1 2 
YES
4 1 4 
YES
3 1 3 
YES
2 1 1 1 2 
YES
1 2 3 2 1 
YES
4 1 4 
YES
1 2 3 2 1 
YES
4 1 4 
YES
1 3 2 3 1 
YES
1 3 2 3 1 
YES
2 3 1 3 2 
YES
1 2 2 2 1 
YES
1 2 1 
YES
3 1 3 
YES
1 1 1 
YES
1 2 3 2 1 
YES
3 1 3 
YES
2 1 2 
YES
2 1 2 
YES
2 1 2 
YES
3 1 3 
YES
2 1 2 
YES
1 
YES
2 2 1 2 2 
YES
4 1 4 
YES
1 2 3 2 1 
YES
1 1 1 
YES
2 1 2 
YES
2 3 1 3 2 
YES
2 1 2 
YES
1 3 2 3 1 
YES
1 2 3 2 1 
YES
1 2 3 2 1 
YES
1 3 2 3 1 
YES
2 3 1 3 2 
YES
2 1 2 
YES
1 
YES
1 1 1 
YES
4 1 4 
YES
1 3 2 3 1 
YES
1 1 1 
YES
1 1 2 1 1 
YES
1 2 3 2 1 
YES
3 1 3 
YES
1 1 2 1 1 
YES
1 3 2 3 1 
YES
1 3 2 3 1 
YES
2 1 1 1 2 
YES
2 3 1 3 2 
YES
2 3 1 3 2 
YES
3 1 3 
YES
2 1 2 
YES
1 2 1 
YES
1 
YES
2 1 1 1 2 
YES
3 1 3 
YES
2 3 1 3 2 
YES
1 2 3 2 1 
YES
1 
YES
2 1 2 
YES
2 3 1 3 2 
YES
1 1 1 
YES
1 2 3 2 1 
YES
4 1 4 
YES
3 1 3 
YES
1 
YES
2 1 2 
YES
3 1 3 
YES
1 2 3 2 1 
YES
2 1 2 
YES
2 3 1 3 2 
YES
3 1 3 
YES
3 1 3 
YES
3 1 3 
YES
4 1 4 
YES
1 2 3 2 1 
YES
1 3 2 3 1 
YES
1 1 1 
YES
2 1 2 
YES
2 1 2 
YES
3 1 3 
YES
3 1 3 
YES
4 1 4 
YES
2 1 1 1 2 
YES
1 2 3 2 1