# m14b (m14b.2.10000.res)
# Best : 14013 (53692) [Ch2.0]
# 4 parts, cut = 13597, imbalance : 1.000000, find after 973'9.795401
1
3
1
3
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
1
1
1
3
3
3
1
1
1
3
3
3
1
1
1
3
3
3
1
1
1
3
3
3
1
1
1
1
1
1
3
3
3
3
3
3
1
1
1
1
1
1
3
3
3
3
3
3
1
1
1
1
1
1
3
3
3
3
3
3
1
1
1
1
1
1
3
3
3
3
3
3
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
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
1
1
1
1
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
1
3
2
2
0
1
1
2
1
0
3
1
2
2
2
2
1
3
0
3
3
1
0
1
1
1
1
3
3
1
1
0
3
0
2
3
3
1
1
1
2
2
2
2
1
1
1
1
1
3
3
2
2
3
3
1
0
0
3
1
3
0
3
0
3
0
1
1
1
3
0
2
2
2
2
2
2
2
2
2
2
3
0
1
1
3
0
1
1
1
3
3
1
1
1
1
0
3
1
3
3
2
2
1
1
1
1
1
0
2
2
2
2
3
0
2
2
0
2
1
3
3
1
1
3
3
3
0
1
3
3
3
1
0
1
1
1
1
1
1
1
3
0
1
1
1
1
2
2
3
3
2
2
3
3
0
1
0
1
1
0
3
1
3
1
2
3
3
2
0
0
0
3
2
2
0
3
3
1
3
1
2
2
2
2
1
1
0
3
2
2
3
0
1
1
2
2
3
1
1
0
3
3
1
1
2
2
3
0
3
3
1
1
1
1
3
3
1
1
3
1
0
1
1
2
2
1
3
1
1
0
2
2
1
3
3
3
1
0
1
3
3
1
0
1
2
2
2
2
0
1
1
1
1
1
0
3
0
0
3
3
1
3
3
1
1
1
1
1
1
3
3
0
3
1
0
3
1
2
2
3
2
2
2
2
2
2
1
3
3
1
1
0
1
2
2
2
2
1
2
2
1
3
3
3
0
3
3
0
0
1
3
1
0
3
0
1
3
0
0
3
2
2
2
2
3
3
0
0
3
0
1
2
2
2
2
2
2
1
2
2
2
2
2
2
3
1
3
2
3
0
1
1
2
1
3
1
0
2
0
2
2
0
1
2
3
3
1
1
1
3
3
3
1
1
3
1
1
1
3
3
1
1
0
2
0
2
2
2
2
1
2
3
3
1
1
1
3
1
1
1
3
3
1
1
1
1
3
3
3
0
1
2
2
0
2
0
2
1
3
2
2
2
0
0
0
2
0
0
0
2
2
1
2
2
1
2
3
3
3
1
1
1
1
3
3
1
1
2
2
0
0
0
2
0
0
0
2
2
2
1
0
1
3
3
1
1
1
3
3
1
1
3
3
1
1
3
3
3
3
3
3
1
1
1
1
3
3
1
1
1
1
3
3
1
1
1
3
3
1
2
2
1
1
1
3
1
3
1
3
1
1
1
3
3
1
1
1
1
3
3
0
2
0
2
1
1
2
2
0
0
2
2
2
2
1
3
1
1
0
2
2
2
0
2
1
3
3
3
1
1
3
1
1
3
1
2
2
1
3
3
0
2
1
2
1
3
1
1
1
3
1
1
3
3
3
1
1
3
3
3
1
1
1
3
3
1
1
0
0
2
2
2
2
2
1
2
1
3
1
1
3
3
2
0
1
1
3
3
1
1
3
1
2
2
0
0
0
2
1
0
2
0
2
1
2
0
0
0
2
2
2
3
1
1
3
3
3
1
1
0
2
0
0
2
2
0
1
1
1
1
1
1
3
3
3
3
3
3
1
1
2
2
1
2
2
2
0
2
0
1
0
2
0
2
2
0
2
0
0
3
3
3
1
3
1
3
2
2
0
0
0
0
2
2
3
1
3
2
2
0
0
1
2
1
3
1
0
2
0
2
2
0
0
2
1
3
3
3
3
0
0
1
1
3
3
1
1
3
3
1
1
1
2
0
0
0
2
2
0
2
0
2
1
3
3
1
1
3
1
3
3
1
3
0
1
1
3
3
0
2
0
0
2
0
2
2
3
2
0
0
2
2
0
0
2
0
0
2
2
1
1
2
0
2
0
1
1
3
0
3
1
1
3
3
1
1
1
1
3
3
1
0
2
0
0
2
2
1
1
1
1
0
2
0
0
2
2
3
3
3
3
1
3
3
3
1
1
3
0
3
0
2
3
3
1
1
1
1
1
3
3
1
1
3
3
1
3
3
2
0
2
0
1
1
1
3
3
1
3
3
3
3
3
0
2
0
2
1
1
0
2
0
2
0
2
1
1
0
2
1
2
1
3
1
1
0
0
2
0
2
2
1
3
3
1
3
3
3
1
1
0
2
2
3
1
1
3
0
2
0
2
0
1
3
1
1
3
3
1
1
1
1
0
1
3
3
3
3
3
1
1
3
3
0
0
0
2
2
0
0
2
2
2
1
1
1
1
2
0
3
3
3
1
1
1
1
0
2
0
1
1
3
3
1
1
0
2
0
0
2
2
3
0
0
2
0
2
0
2
0
0
0
2
2
2
0
1
3
3
3
1
3
1
0
0
0
2
2
2
3
3
1
1
1
1
1
3
3
3
3
0
2
2
2
0
2
2
0
0
1
0
2
0
2
0
0
0
2
2
3
3
3
3
3
0
2
0
0
0
0
2
2
2
1
3
3
0
2
2
1
0
1
2
3
2
1
0
0
1
2
2
3
3
1
1
2
0
0
1
1
2
2
2
3
3
1
1
3
3
3
3
1
1
1
0
0
0
0
1
2
2
3
3
2
1
1
2
2
2
2
2
3
1
3
3
1
0
2
1
1
2
1
0
0
2
3
3
3
3
1
1
0
0
1
0
0
1
0
1
1
0
3
3
1
1
1
0
1
2
2
3
3
2
2
1
2
2
2
1
1
1
1
2
0
2
0
3
3
3
3
1
3
3
1
1
3
3
3
3
0
0
0
0
2
1
3
3
1
2
2
2
0
1
2
1
2
1
2
2
2
2
2
2
3
3
2
2
1
1
2
2
3
3
2
3
1
0
0
0
0
1
1
1
3
3
1
3
3
3
2
2
1
1
1
1
0
0
0
0
3
3
3
1
3
2
1
1
1
3
3
1
1
3
3
3
3
3
0
1
2
2
1
0
2
1
1
2
2
2
3
2
0
1
3
1
2
2
1
2
1
0
0
2
2
3
2
1
2
1
2
2
1
1
2
0
0
1
3
3
3
2
1
3
3
2
0
0
0
0
2
0
1
0
1
1
0
3
3
3
3
1
0
1
2
1
1
1
1
0
1
1
3
3
1
1
0
0
1
0
1
0
3
3
3
3
1
1
2
1
3
2
1
1
3
2
2
1
2
2
2
1
0
0
0
2
2
2
0
3
3
3
3
3
0
3
3
0
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
1
1
0
1
1
1
1
1
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
0
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
0
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
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
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
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
1
1
0
0
0
0
1
1
1
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
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
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
1
1
1
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
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
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
1
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
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
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
1
1
1
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
1
1
1
1
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
2
0
0
0
0
0
0
0
0
0
2
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
2
2
0
0
0
0
0
0
2
2
0
0
2
2
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
2
2
2
0
0
2
2
2
2
2
2
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
2
2
2
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
2
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
2
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
2
2
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
2
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
2
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
2
2
0
0
2
2
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
0
2
2
2
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
2
0
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
2
0
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
0
2
2
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
2
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
3
3
3
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
2
3
3
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
2
3
3
3
3
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
2
3
2
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
2
3
3
3
3
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
2
3
3
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
2
2
2
3
2
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
2
2
3
3
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
2
2
2
3
2
2
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
2
3
3
3
3
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
2
2
2
3
3
2
2
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
3
3
2
2
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
3
2
2
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
2
2
3
2
2
2
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
2
3
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
3
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
3
2
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
2
2
3
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
3
2
2
2
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
3
3
3
2
2
2
3
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
3
2
3
2
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
3
2
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
3
3
3
3
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
3
2
2
3
3
3
3
3
3
3
3
3
2
2
2
2
3
3
3
3
3
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
3
2
3
2
2
3
3
3
3
3
3
3
3
3
3
2
2
3
3
3
3
3
3
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
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
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
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
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
2
2
2
2
1
1
2
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
2
2
2
1
1
2
2
1
1
1
1
1
1
1
2
2
2
1
2
1
1
1
1
2
2
2
2
1
2
2
2
1
1
1
1
1
1
1
2
2
2
2
1
2
0
1
1
1
1
2
2
2
1
1
2
2
2
1
1
1
1
1
1
2
2
2
2
2
0
2
1
1
1
0
1
2
2
0
1
0
2
2
2
2
3
2
1
1
1
1
3
3
3
2
2
2
3
0
1
1
1
1
3
3
0
1
2
2
3
3
2
1
3
3
3
2
2
2
3
3
3
2
0
1
1
3
3
3
0
0
2
2
3
3
3
3
3
2
2
3
3
3
3
0
2
0
1
3
3
0
2
0
2
3
3
3
3
2
3
3
3
3
3
3
2
2
0
0
0
3
3
0
2
2
3
3
3
3
3
3
3
3
3
2
3
3
3
3
3
3
2
2
0
3
2
2
2
3
3
3
3
3
3
3
3
3
2
3
3
3
3
3
3
3
2
2
3
3
2
3
3
3
3
3
3
3
3
3
2
3
3
3
3
3
3
3
2
3
3
3
3
3
3
3
3
3
3
3
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
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
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
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
0
0
0
0
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
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
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
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
3
3
2
2
3
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
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
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
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
1
1
1
1
0
0
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
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
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
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
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
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
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
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
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
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
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
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
1
1
1
1
1
1
1
1
1
1
1
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
1
1
1
1
1
0
0
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
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
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
3
3
3
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
3
3
3
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
1
1
1
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
1
1
1
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
3
3
3
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
3
3
3
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
3
3
3
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
3
3
3
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
3
3
3
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
3
3
3
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
1
1
1
0
0
0
0
0
0
0
0
0
3
3
3
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
3
3
3
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
1
1
1
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
3
3
3
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
3
3
3
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
1
1
1
3
3
3
1
1
1
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
3
3
3
1
1
1
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
3
3
3
3
3
3
1
1
1
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
3
3
3
1
1
1
3
3
3
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
3
3
3
1
1
1
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
3
3
3
0
0
0
0
0
0
2
2
2
1
1
1
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
1
1
1
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
1
1
1
3
3
3
1
1
1
3
3
3
2
2
2
2
2
2
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
3
3
3
2
2
2
2
2
2
3
3
3
1
1
1
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
1
1
1
3
3
3
1
1
1
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
1
1
1
3
3
3
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
3
3
3
1
1
1
3
3
3
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
1
1
1
1
1
1
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
1
1
1
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
3
3
3
2
2
2
1
1
1
2
2
2
3
3
3
0
0
0
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
3
3
3
3
3
3
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
1
1
1
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
1
1
1
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
1
1
1
3
3
3
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
1
1
1
2
2
2
2
2
2
3
3
3
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
1
1
1
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
3
3
3
1
1
1
3
3
3
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
1
1
1
3
3
3
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
3
3
3
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
1
1
1
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
3
3
3
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
3
3
3
1
1
1
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
1
1
1
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
1
1
1
3
3
3
1
1
1
3
3
3
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
0
0
0
1
1
1
1
1
1
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
3
3
3
1
1
1
3
3
3
1
1
1
2
2
2
2
2
2
3
3
3
1
1
1
1
1
1
3
3
3
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
1
1
1
3
3
3
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
3
3
3
0
0
0
0
0
0
0
0
0
2
2
2
3
3
3
1
1
1
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
3
3
3
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
1
1
1
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
3
3
3
3
3
3
1
1
1
3
3
3
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
3
3
3
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
1
1
1
3
3
3
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
3
3
3
0
0
0
3
3
3
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
3
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
3
3
3
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
3
3
3
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
3
3
3
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
0
0
0
2
2
2
0
0
0
0
0
0
2
2
2
0
0
0
2
2
2
2
2
2
0
0
0
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
0
0
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
0
1
0
0
3
2
2
0
3
0
2
1
2
1
3
3
3
3
2
0
0
3
1
0
2
2
3
2
2
3
2
2
1
1
0
3
2
2
3
2
3
0
0
1
0
2
0
0
2
3
0
3
3
3
0
0
0
3
2
2
1
0
0
2
2
3
0
1
3
3
2
3
2
3
2
3
1
3
2
0
1
2
2
3
3
2
1
3
0
3
2
0
3
1
0
1
1
3
1
1
0
0
3
0
0
2
3
3
0
1
0
3
3
0
0
3
0
2
2
3
3
2
2
1
2
0
2
2
0
0
2
1
2
1
2
3
2
0
3
3
2
1
3
3
2
2
2
2
3
0
2
3
1
3
0
1
0
2
0
0
3
1
2
3
0
3
2
1
3
3
2
2
0
1
3
3
1
1
0
3
3
3
3
3
1
0
2
0
1
0
0
2
1
2
0
2
0
2
1
0
2
1
0
0
0
1
3
3
3
3
3
0
1
3
3
3
1
0
2
1
1
1
0
2
1
2
0
0
2
1
1
3
3
3
3
0
0
0
3
2
3
1
1
3
1
0
2
3
0
0
0
0
3
3
0
0
2
3
0
2
2
2
3
3
3
1
1
3
0
3
0
2
2
3
3
1
1
1
2
3
1
1
0
3
3
3
0
0
1
3
2
2
1
0
1
2
1
0
2
3
3
1
1
2
1
2
3
2
3
3
2
1
0
0
0
1
2
2
0
2
3
0
0
2
3
2
0
0
2
2
2
3
2
1
2
1
0
1
0
3
1
2
0
1
3
2
1
3
0
0
3
0
1
3
0
0
2
3
3
2
3
2
1
3
2
2
2
2
3
1
0
0
3
2
3
0
1
1
2
3
3
1
2
2
2
2
3
1
2
1
1
0
2
1
0
3
1
0
3
1
2
3
0
3
0
3
0
1
1
0
2
1
0
1
1
0
1
3
3
0
3
2
2
2
3
3
2
1
2
0
3
1
0
1
1
0
2
1
2
2
0
0
3
3
3
1
2
3
0
1
3
1
1
0
2
2
1
1
3
3
3
2
1
0
2
1
0
3
1
3
2
0
0
2
2
0
0
1
3
3
2
0
2
1
1
1
3
0
3
3
2
1
2
1
2
3
3
0
0
2
1
0
2
1
3
3
2
2
3
0
0
1
1
3
2
0
1
0
1
2
2
2
0
0
3
2
3
0
3
1
2
2
2
2
2
2
2
1
3
3
3
3
1
2
0
2
0
1
2
1
3
0
1
1
3
1
0
1
3
0
3
2
1
0
1
2
3
3
1
2
3
3
3
3
3
0
0
2
2
3
2
2
3
0
2
3
3
3
0
3
3
3
2
0
2
3
0
0
3
3
3
1
2
3
3
1
3
2
3
2
2
1
1
2
3
3
2
3
0
0
1
3
2
0
2
0
0
3
3
3
3
3
2
0
1
1
1
1
1
1
0
3
0
3
3
0
0
2
3
3
0
3
0
1
0
1
1
2
3
3
1
1
1
3
1
0
2
3
1
1
3
2
0
2
0
2
3
0
3
3
2
1
3
0
3
2
2
2
3
1
3
0
2
0
2
0
2
3
3
2
0
1
3
1
2
1
1
3
0
1
1
1
3
3
0
1
3
0
0
0
0
0
1
0
0
1
1
2
1
2
0
2
3
2
2
0
3
2
0
3
2
2
0
0
3
1
3
2
1
0
3
3
3
0
1
0
2
2
0
2
3
0
1
0
0
2
3
1
1
0
3
2
2
3
1
0
1
2
1
1
3
3
0
0
0
2
2
1
2
0
0
1
1
2
1
3
3
3
0
2
3
2
1
0
3
3
3
3
1
2
1
1
0
3
1
2
2
3
1
3
2
0
1
0
3
1
3
1
1
3
3
0
1
3
1
1
1
1
0
0
2
1
0
1
1
2
0
0
0
3
1
2
2
3
1
0
3
3
0
3
2
3
3
1
3
1
2
3
2
2
0
1
2
3
1
3
0
1
3
2
1
0
1
1
0
0
1
2
3
0
3
1
1
3
3
3
0
2
2
0
2
2
1
1
2
1
3
1
1
3
3
3
3
0
2
1
1
2
3
0
0
0
3
2
1
3
3
1
0
0
3
3
3
1
0
0
1
3
1
2
3
0
0
1
1
0
1
0
3
0
3
0
0
3
2
3
0
2
3
3
2
0
3
2
2
0
0
1
2
1
2
3
3
3
1
1
0
1
1
0
2
1
1
2
3
2
2
3
3
1
2
3
3
0
1
2
1
2
2
2
3
3
2
3
3
1
3
3
0
3
3
2
1
1
2
2
1
0
2
3
3
3
0
1
1
1
1
3
2
2
2
2
3
1
0
3
2
0
0
1
1
1
0
1
3
0
1
1
2
1
3
2
3
3
3
3
3
3
3
3
2
2
3
0
3
2
0
1
1
1
0
1
3
0
1
1
1
3
2
2
2
2
2
2
2
0
1
1
2
1
3
3
2
3
0
3
2
0
0
1
0
2
0
1
3
2
2
2
3
3
1
0
3
2
1
0
3
1
0
0
1
0
0
3
0
1
1
2
2
2
3
0
0
1
1
3
1
3
2
1
3
2
0
1
3
0
1
2
0
2
2
3
3
0
0
0
1
3
1
2
2
1
2
2
0
1
0
1
1
1
3
3
1
1
3
0
2
1
1
2
3
3
2
0
1
1
1
0
2
0
1
3
0
1
3
0
3
3
3
3
3
0
3
2
0
2
2
2
0
3
3
0
0
2
1
2
0
3
1
3
3
3
3
0
3
1
1
2
2
2
2
1
0
3
3
3
3
2
1
0
2
3
0
2
2
0
3
2
0
0
2
2
1
0
1
1
1
1
2
1
0
1
3
3
0
3
3
0
2
2
0
2
0
1
0
0
3
1
3
0
3
2
0
3
2
1
0
2
3
0
1
0
3
3
3
1
1
0
1
3
1
0
1
0
1
3
1
0
3
3
2
2
1
0
3
2
0
3
0
1
1
2
0
3
3
2
0
3
3
0
1
1
2
1
3
1
2
0
0
1
0
2
3
0
1
3
1
1
0
3
0
2
1
1
2
2
0
2
1
3
3
1
0
0
2
3
0
2
0
3
3
3
3
0
1
1
3
0
1
3
1
3
3
2
3
3
0
0
3
3
1
1
3
3
3
3
2
0
2
2
2
1
2
3
3
2
3
0
0
3
0
2
0
1
1
0
2
3
3
3
3
3
2
0
0
0
3
3
2
0
0
0
0
2
1
1
2
1
1
1
1
1
1
0
0
3
3
3
2
2
0
1
2
2
0
0
3
3
3
0
0
1
0
0
1
3
3
2
1
2
2
2
3
3
1
1
0
0
3
0
0
0
2
0
2
0
3
3
1
1
0
0
3
3
3
3
0
0
1
3
3
1
1
2
0
1
2
0
3
2
1
0
3
0
2
2
0
0
3
1
0
2
2
0
1
1
1
1
2
1
2
1
2
0
1
0
3
3
0
2
2
0
3
0
2
1
0
1
2
2
3
1
3
3
2
3
3
0
1
2
3
1
2
2
3
3
0
3
2
3
0
0
1
0
3
0
0
0
0
2
1
3
1
1
0
3
2
2
2
1
0
3
2
3
1
3
1
3
0
3
1
1
1
3
2
0
1
0
3
2
1
1
2
0
0
2
2
0
3
0
0
0
2
2
3
0
0
3
3
2
2
0
1
0
1
3
2
2
3
2
2
0
0
3
0
1
1
0
1
1
1
3
1
0
1
0
1
0
2
3
2
2
2
2
2
2
0
2
3
0
1
0
2
3
3
0
1
1
0
0
2
2
1
1
3
1
2
2
2
3
2
2
3
2
1
3
3
1
0
2
3
2
1
0
0
1
1
0
3
3
1
3
3
1
0
1
3
1
3
3
3
1
0
3
3
3
3
3
3
3
3
3
3
3
2
1
1
1
1
2
2
3
3
0
0
2
2
0
1
1
1
3
0
0
2
1
1
0
0
2
3
2
1
0
0
3
3
1
2
3
1
3
3
2
1
3
2
2
2
0
3
1
3
0
3
3
0
1
2
3
0
3
0
0
1
0
1
0
0
3
1
3
0
2
2
1
2
1
0
3
1
2
2
1
0
2
2
1
3
1
1
2
3
1
0
3
3
3
3
0
0
0
0
1
1
0
1
3
0
2
1
1
0
1
3
2
1
1
1
1
0
3
3
2
2
2
2
0
3
1
0
3
2
3
1
1
2
0
2
2
1
1
3
1
2
1
2
2
0
1
3
0
0
1
3
2
3
3
0
2
3
2
1
3
0
0
2
2
3
3
0
1
1
3
2
1
0
0
3
0
3
0
3
1
1
0
0
2
0
0
2
2
3
0
0
0
0
2
0
3
3
3
0
3
3
3
0
3
2
0
2
3
3
1
1
1
1
3
0
2
2
2
1
0
0
2
3
3
3
2
1
3
1
3
3
0
2
0
3
3
3
2
3
1
3
0
0
1
3
2
1
1
3
0
1
2
1
2
2
3
2
2
1
2
3
3
0
0
0
2
2
0
2
2
2
0
1
2
1
1
1
1
3
2
1
0
1
2
3
2
3
3
3
3
3
3
0
3
1
2
2
0
3
2
2
0
3
2
0
2
3
2
2
0
2
1
0
3
2
1
0
2
1
2
0
1
0
3
1
1
1
2
2
2
2
1
1
1
0
1
2
3
0
3
2
2
3
3
1
0
2
2
2
0
3
2
1
2
0
1
2
3
0
1
1
1
1
0
2
2
3
1
3
1
2
0
0
1
1
0
2
1
1
2
1
1
2
2
1
2
1
3
2
2
2
2
2
0
3
3
1
3
1
0
0
0
0
0
2
2
1
1
0
0
1
1
0
0
3
3
1
3
1
2
2
1
3
3
2
3
3
3
3
3
2
0
2
2
2
2
3
3
1
0
1
1
1
0
2
1
0
3
0
1
1
0
3
1
0
0
2
2
2
2
0
1
2
2
0
2
2
0
0
0
3
2
2
3
1
2
1
2
3
2
0
1
0
0
0
3
1
1
1
3
3
2
1
3
3
2
3
1
1
0
0
2
0
2
2
1
1
0
3
1
3
0
3
1
2
1
1
3
3
0
3
1
1
2
0
3
2
2
0
2
2
3
1
0
0
3
1
2
3
3
2
3
3
3
0
0
1
3
0
3
1
0
0
3
3
3
2
3
1
2
0
3
3
1
1
2
1
1
2
3
2
0
1
2
0
0
3
3
0
0
2
3
1
3
1
1
3
2
0
1
2
2
1
0
2
0
1
1
2
1
3
2
0
0
3
2
2
2
2
3
1
2
1
3
0
2
2
0
3
2
2
3
3
3
0
0
2
1
0
0
2
0
0
0
1
2
3
0
3
2
1
1
3
3
0
1
1
3
0
1
3
3
2
1
3
1
2
2
3
3
0
0
2
3
0
1
2
0
1
2
2
2
3
0
0
0
3
3
3
3
3
1
1
0
1
3
0
0
1
2
2
0
1
1
3
3
3
3
0
3
0
1
3
0
1
2
0
2
1
3
2
0
3
2
0
3
3
1
3
3
3
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
1
0
0
3
3
3
3
3
3
0
3
2
1
2
3
1
0
0
0
2
1
1
0
3
3
0
3
2
3
3
1
1
3
3
2
3
3
0
0
0
0
1
3
2
1
0
3
1
2
0
1
3
3
1
1
0
1
2
3
1
1
2
0
0
3
0
0
0
3
3
1
2
2
2
3
2
0
3
3
0
1
3
1
1
1
1
3
0
0
2
3
1
0
1
0
0
2
3
3
0
0
3
2
0
3
0
1
1
2
1
2
1
0
0
1
0
0
0
3
2
1
2
2
0
2
3
3
0
2
3
2
2
2
0
1
2
2
0
0
2
1
1
1
0
1
1
1
3
1
1
3
0
1
1
3
1
3
3
2
2
1
2
3
2
3
3
3
1
3
0
1
3
1
3
3
3
3
3
3
0
1
2
3
0
1
2
0
2
0
0
3
0
0
3
1
1
1
2
3
3
2
2
2
0
0
2
3
0
0
1
1
3
2
1
3
1
3
2
0
0
3
3
1
2
2
1
1
2
3
2
0
3
1
1
0
3
1
0
3
1
1
0
2
1
3
3
3
3
0
0
2
2
1
3
3
1
0
3
3
0
0
0
3
1
1
2
1
1
1
3
0
2
3
3
0
1
1
0
2
2
3
2
1
2
2
3
0
3
1
1
1
3
3
0
3
3
3
2
2
3
0
1
3
1
0
0
3
1
1
2
1
0
0
0
0
0
2
0
0
1
1
0
3
1
2
2
3
1
3
3
0
2
1
3
1
2
0
0
3
1
0
2
2
3
1
1
3
0
3
3
3
1
1
3
0
3
3
0
3
0
0
1
3
3
1
3
2
1
0
0
1
1
1
1
1
1
3
3
3
0
0
1
1
1
1
0
1
1
1
2
0
2
1
2
2
2
3
1
0
3
3
2
2
3
0
1
2
1
2
1
3
2
2
3
0
2
1
1
3
1
1
3
3
2
1
3
3
3
2
3
0
3
3
1
2
0
3
0
0
3
2
1
2
0
0
1
0
1
1
3
1
0
2
0
1
2
3
1
0
2
0
0
3
2
3
1
2
2
0
0
0
1
1
3
3
3
1
1
2
1
3
0
1
2
1
3
3
3
0
0
1
3
3
3
2
0
3
0
3
3
3
2
2
2
3
1
3
0
3
1
0
3
2
1
2
2
1
3
2
3
1
2
2
1
2
2
2
0
0
3
2
2
2
3
2
1
1
1
2
3
1
3
0
2
3
3
3
0
1
3
1
2
0
2
3
0
2
2
0
2
2
2
0
0
0
2
3
3
1
0
0
2
3
1
2
3
2
1
3
1
3
1
2
3
1
2
3
2
2
3
1
0
2
0
2
0
1
3
0
3
1
3
3
1
3
1
2
0
3
2
3
0
2
0
0
0
2
2
1
1
0
0
1
3
2
1
1
0
1
1
3
1
2
2
2
2
2
0
1
0
3
3
0
0
1
1
1
0
2
3
3
2
3
1
2
0
3
1
0
0
0
1
2
2
0
2
1
0
3
3
2
2
0
1
3
2
1
3
0
1
1
0
3
1
3
3
0
1
0
1
1
2
0
2
3
1
1
1
2
2
2
1
0
1
0
3
2
3
3
1
0
0
0
1
1
0
1
2
3
0
1
1
1
1
2
2
1
3
3
1
3
2
3
0
2
0
2
0
2
2
2
1
3
2
2
1
1
3
3
0
1
2
0
0
1
0
0
0
0
2
0
1
2
0
3
3
2
3
3
3
1
1
1
1
0
1
1
1
1
3
1
2
0
0
0
0
2
1
0
1
0
0
0
1
2
0
1
3
0
3
1
1
2
2
3
2
2
1
2
1
1
1
2
0
1
0
3
2
3
0
0
2
2
3
3
2
2
3
3
3
0
2
3
3
3
3
1
2
2
2
0
1
1
2
0
2
0
1
1
3
0
0
1
0
3
1
3
0
3
3
2
0
2
2
1
1
2
2
0
3
2
0
3
1
1
3
2
0
2
3
3
0
2
1
3
3
3
1
2
2
0
3
3
2
1
2
1
1
3
3
1
0
1
0
2
0
0
3
1
0
2
0
2
1
3
1
2
3
0
0
1
2
2
1
0
2
1
0
2
1
0
1
0
0
0
1
0
0
2
0
0
0
0
0
3
2
1
3
0
1
1
3
0
0
3
1
2
2
0
2
1
3
0
3
0
0
3
2
3
2
1
3
3
2
1
2
0
3
1
2
3
0
3
0
0
1
1
3
2
3
3
3
2
1
1
1
1
2
1
1
3
3
1
3
3
1
3
0
2
1
3
2
1
1
1
1
0
3
1
1
3
3
0
2
0
3
3
3
3
1
2
0
0
2
0
3
3
2
3
3
2
0
3
2
2
2
3
2
1
0
1
1
2
2
1
2
0
3
1
2
2
1
3
0
0
0
1
0
1
3
2
2
2
3
2
3
1
3
0
1
1
0
0
1
3
0
0
2
2
1
2
0
1
3
1
0
1
0
0
2
3
3
1
1
0
2
2
2
0
3
0
0
1
3
3
1
3
2
2
1
1
2
3
3
2
3
0
3
1
2
2
3
3
2
1
2
2
0
0
3
0
0
0
0
0
0
3
3
2
0
3
0
3
1
1
1
2
2
2
0
0
0
0
1
1
1
3
2
3
2
0
0
3
3
1
3
0
1
3
2
3
3
2
3
3
3
1
2
2
3
1
2
2
1
0
3
1
0
3
0
1
1
1
2
0
3
2
2
0
1
1
2
1
1
1
1
2
1
1
2
1
3
1
1
1
2
2
3
3
2
3
0
3
1
0
0
2
1
2
0
2
3
2
1
3
1
0
1
1
1
3
3
0
1
3
1
2
1
1
2
3
1
1
0
1
3
2
2
2
2
0
1
1
1
0
0
0
0
1
3
3
0
2
2
0
0
1
3
1
3
2
0
3
3
3
3
3
1
0
0
3
1
3
1
3
0
0
0
3
3
0
3
2
1
1
0
3
1
1
1
1
2
2
1
0
0
1
3
3
0
3
3
1
1
0
3
0
3
2
1
1
3
0
2
1
1
0
1
1
0
0
0
0
0
0
0
3
1
3
3
3
3
3
3
3
3
3
3
1
0
2
3
3
1
0
2
0
2
0
1
1
3
0
2
0
1
2
2
3
0
1
1
3
0
0
1
0
0
0
1
1
3
2
0
1
3
2
0
3
3
3
0
2
0
1
3
3
3
1
3
2
2
2
0
0
2
1
0
0
1
0
1
3
2
2
1
1
1
3
1
3
0
2
0
0
0
2
2
3
1
0
2
2
1
2
0
0
3
1
0
0
0
0
0
2
3
1
3
1
1
1
2
3
0
1
1
1
1
0
3
2
3
0
3
0
1
2
0
0
3
2
2
3
2
0
1
3
1
3
2
3
2
2
3
2
3
0
0
3
3
3
0
1
1
0
0
2
0
3
2
2
3
0
2
2
2
3
3
3
2
3
0
1
3
1
0
2
1
1
2
0
0
3
0
1
2
2
3
0
3
3
2
1
0
1
2
2
3
0
0
0
2
2
3
3
3
3
3
0
3
2
1
3
2
1
2
3
3
0
2
2
2
3
1
0
0
3
1
3
1
1
0
1
1
1
3
3
1
3
1
2
1
3
2
2
0
0
2
2
0
2
2
0
3
3
0
3
3
3
3
3
3
3
0
0
3
0
3
3
0
1
0
0
3
3
0
2
2
2
2
1
0
1
3
3
2
0
1
0
3
1
0
3
2
2
2
3
0
0
3
2
3
1
1
3
3
0
0
1
1
2
2
3
3
3
2
1
0
2
3
2
0
1
1
2
3
3
1
2
0
0
3
0
1
3
3
2
1
0
0
2
0
0
3
3
3
2
3
0
1
3
0
1
2
2
0
2
3
2
0
3
3
2
1
2
2
3
3
1
3
1
3
1
1
3
3
1
0
3
3
0
2
3
0
0
2
1
2
2
2
3
0
3
3
2
2
0
2
0
2
2
2
1
0
0
3
0
1
3
0
3
1
0
0
3
2
2
3
3
2
3
2
1
0
1
3
0
0
1
1
3
0
0
3
3
3
3
3
0
3
1
0
2
0
1
0
1
0
3
0
3
0
0
1
0
1
0
3
2
2
3
0
3
3
1
1
3
3
0
0
1
2
3
2
2
0
2
3
1
0
3
1
1
0
2
3
3
2
3
3
3
0
0
1
1
0
3
3
3
1
0
1
1
3
1
3
0
1
1
1
0
3
2
2
0
2
1
2
2
1
3
2
3
2
0
0
2
3
2
2
2
1
3
1
0
0
0
0
3
3
3
1
3
2
2
1
0
1
1
0
1
2
3
3
1
3
3
3
0
1
2
3
3
2
2
2
3
1
2
0
0
3
3
2
0
2
2
2
0
0
3
3
1
2
1
0
3
1
3
0
2
1
1
0
2
3
1
3
2
2
0
2
1
2
2
0
2
2
1
0
2
2
2
3
2
1
3
1
3
3
3
1
3
1
1
1
1
1
2
1
2
2
2
2
1
2
1
1
3
1
0
1
2
0
3
0
0
3
2
1
3
0
0
0
3
3
1
3
2
2
2
2
1
1
2
0
2
1
3
0
1
0
1
3
3
0
1
1
0
3
3
1
0
0
3
0
0
3
1
2
0
1
3
3
2
1
3
3
0
1
2
3
3
3
2
1
0
0
1
1
3
3
1
1
1
1
1
0
2
1
2
0
0
1
3
3
1
2
0
1
3
3
3
0
2
2
0
1
0
0
3
1
0
1
1
3
3
1
0
0
3
2
0
3
3
3
3
3
3
3
0
3
3
0
1
3
2
2
1
1
0
0
3
3
0
0
3
1
0
2
1
3
3
1
2
2
0
3
3
3
3
0
2
1
3
1
2
1
0
3
2
2
3
0
3
0
1
1
3
1
0
2
3
1
1
0
0
0
2
0
3
3
2
3
3
3
3
0
2
0
0
3
3
3
2
2
0
0
1
1
0
1
2
3
2
0
0
1
3
3
1
3
1
3
2
1
2
3
0
0
3
0
3
2
1
2
0
2
1
1
1
0
0
2
1
3
3
2
1
2
1
3
1
1
3
1
2
1
0
1
3
0
3
1
1
0
1
1
2
1
2
3
2
0
0
3
0
3
1
0
0
2
2
2
3
1
1
2
0
3
0
0
0
0
3
3
3
3
1
2
2
1
2
3
1
0
3
3
1
0
2
3
3
2
0
2
2
3
1
3
3
3
2
3
3
3
3
3
0
2
3
2
3
1
1
1
1
0
3
2
0
2
2
2
1
0
2
0
0
0
1
1
1
0
0
3
0
1
0
2
1
0
2
0
3
3
1
2
2
2
3
3
2
3
2
2
2
2
1
1
3
3
3
3
1
3
3
3
3
2
2
0
1
0
2
3
2
0
0
2
2
1
1
2
1
3
1
0
3
3
0
3
1
1
2
3
0
1
1
0
2
0
3
1
1
0
1
3
3
0
1
1
1
1
1
2
2
2
3
0
2
0
1
3
3
3
0
2
0
2
3
1
2
1
3
0
1
3
0
3
3
3
0
3
2
2
3
3
1
0
3
3
0
2
2
2
2
3
0
0
0
3
3
2
3
3
3
3
0
2
1
2
2
2
0
3
3
1
0
3
1
1
3
0
3
1
1
0
2
3
1
0
0
1
1
1
3
2
3
3
3
3
2
1
2
2
2
1
3
3
1
0
3
3
0
0
3
2
0
3
1
1
1
2
3
0
3
3
3
0
1
3
2
0
2
0
3
3
3
1
3
1
1
2
2
2
3
1
2
0
2
3
0
0
2
3
2
1
3
0
0
1
0
3
3
0
0
2
2
1
3
1
1
1
0
1
1
1
0
3
2
3
3
2
2
1
1
3
3
2
3
2
0
1
3
1
1
3
1
3
2
0
0
3
3
3
0
3
2
0
2
1
1
3
1
1
0
1
2
1
1
0
3
0
1
0
0
3
1
0
1
3
3
1
3
3
0
3
0
2
0
2
2
2
3
1
2
3
2
3
3
1
1
1
3
0
0
1
3
1
1
2
0
3
0
0
0
3
0
3
2
1
2
2
3
1
2
0
0
1
0
0
1
0
0
0
0
0
0
3
0
0
2
0
3
2
2
0
0
1
3
0
0
1
3
0
3
1
1
1
1
1
1
3
2
2
2
2
1
1
0
0
3
1
1
3
3
2
3
1
3
0
3
0
1
2
3
2
2
0
0
2
0
1
1
2
2
0
1
2
2
0
0
0
0
0
3
3
3
3
1
1
0
1
0
3
2
3
1
3
1
2
0
2
1
3
1
1
1
3
0
3
0
0
3
3
0
0
0
3
2
2
2
0
3
2
0
2
3
1
0
3
1
0
2
3
2
0
1
3
0
3
3
3
0
0
0
2
2
1
0
0
0
2
2
2
0
1
1
3
0
2
0
0
3
0
1
2
1
0
0
2
3
0
1
0
2
2
0
1
2
3
2
2
1
1
2
0
2
2
0
3
0
3
0
3
1
0
1
3
3
1
3
3
3
0
2
0
3
3
0
2
2
3
2
2
1
3
2
3
3
1
3
0
2
1
0
2
2
0
0
3
1
1
1
3
2
3
3
3
3
3
2
1
3
1
0
0
2
2
0
0
3
0
0
0
2
1
1
3
1
1
3
2
0
0
0
1
3
0
1
0
1
3
2
0
3
0
0
2
0
1
2
1
3
1
0
1
1
1
0
0
2
2
0
1
0
0
2
2
0
3
0
2
0
1
0
1
1
3
2
3
3
1
1
1
1
1
1
0
2
3
0
2
0
0
3
2
2
3
0
3
0
0
0
3
1
2
0
1
2
1
1
1
1
3
1
3
1
3
2
2
0
0
0
2
3
1
1
3
3
0
0
3
0
0
1
0
1
3
3
1
3
2
1
3
1
3
2
3
3
1
3
2
3
2
1
3
0
1
3
0
1
1
3
3
0
0
2
2
3
0
2
2
1
0
2
3
1
2
0
1
3
0
1
2
1
3
2
0
0
2
2
0
3
3
2
2
3
3
2
3
3
3
3
2
0
2
0
0
3
0
1
1
2
0
1
1
3
3
2
1
3
1
3
2
3
1
0
2
3
2
0
0
3
3
3
3
3
3
2
1
2
3
0
2
2
3
1
0
1
0
0
3
1
1
0
0
1
0
1
3
3
1
2
1
1
3
3
1
1
1
0
1
3
3
0
3
3
2
1
3
1
3
2
3
1
3
0
0
3
0
3
3
1
1
0
0
0
0
3
3
1
0
1
3
3
3
0
1
1
0
2
1
2
2
3
1
1
1
1
1
0
1
3
1
0
1
0
3
1
0
0
3
0
3
1
3
2
2
3
3
3
3
0
0
3
3
3
3
2
2
2
0
3
2
1
2
3
2
3
1
2
0
1
0
0
3
2
2
1
0
3
0
0
2
1
1
1
0
0
0
1
1
1
1
3
3
0
1
1
1
1
1
3
1
3
3
0
0
0
0
1
0
0
3
1
0
3
3
0
2
3
2
0
3
3
1
1
1
1
1
0
0
1
2
1
0
1
3
2
2
2
3
3
1
0
1
1
0
3
3
2
1
0
0
1
1
0
3
3
1
3
0
1
1
3
0
2
3
1
2
3
3
1
1
3
0
2
2
3
2
0
3
3
0
3
3
1
3
0
1
1
0
1
0
3
1
1
3
0
2
0
0
1
2
0
2
2
3
3
0
3
3
3
0
3
1
1
0
1
2
2
0
0
2
2
3
0
0
1
1
1
1
2
2
3
0
1
0
1
2
2
2
0
0
0
0
1
3
3
2
2
2
2
3
2
0
0
2
1
1
1
3
1
3
0
2
3
1
1
3
3
3
1
1
1
0
3
3
0
1
3
3
2
0
1
0
0
0
0
3
1
3
0
3
0
0
1
3
3
1
3
0
0
1
1
0
0
2
3
2
2
0
3
0
1
0
0
3
0
1
3
3
3
2
1
0
1
2
3
0
1
1
1
2
0
2
1
2
2
0
2
3
0
3
2
2
3
2
2
1
2
3
3
3
2
2
1
2
2
0
3
3
0
3
1
2
0
1
1
3
3
2
3
0
0
3
0
3
3
3
3
0
0
1
2
2
2
2
0
0
3
1
3
0
0
3
3
3
3
0
2
1
2
2
2
2
0
0
2
0
0
0
1
2
1
3
1
1
0
1
1
3
1
2
0
1
1
2
2
3
3
1
3
3
0
3
3
2
0
0
3
1
3
2
2
2
0
0
0
0
0
0
0
1
1
0
0
3
1
0
3
2
1
3
1
1
0
3
0
3
1
0
3
0
3
1
3
1
0
3
0
3
0
2
3
2
2
3
1
0
1
1
2
1
0
2
2
3
1
3
0
1
0
2
2
2
0
2
3
3
2
0
2
0
1
1
2
3
2
1
3
1
3
3
0
3
3
2
0
3
3
2
3
3
3
3
3
2
2
1
3
1
2
2
0
2
3
2
3
0
1
1
0
3
2
3
1
3
3
3
3
2
3
1
3
0
0
2
1
1
2
3
1
0
0
0
1
3
3
0
1
1
3
0
1
0
3
1
0
0
0
0
2
2
1
3
3
2
1
2
0
1
3
1
1
1
3
3
0
1
0
3
2
3
2
3
0
3
2
3
2
2
1
1
3
1
3
0
3
2
1
2
1
0
3
3
2
1
1
0
0
0
3
0
1
0
3
1
1
0
0
2
1
0
0
3
3
3
3
0
3
0
3
0
2
3
3
2
2
3
3
3
3
3
3
0
0
0
0
3
2
2
1
3
1
1
0
2
3
0
1
3
3
0
3
2
0
0
1
1
3
2
0
3
3
1
2
2
2
0
2
0
2
2
0
2
1
3
0
2
2
0
0
2
2
2
1
2
0
0
1
2
3
2
2
1
1
2
3
1
1
0
2
1
0
3
3
2
2
2
3
0
0
2
2
0
1
3
3
3
1
3
0
1
0
0
2
3
2
1
1
0
3
3
3
1
0
2
1
1
1
3
1
1
0
1
1
3
2
3
0
2
3
1
1
0
0
2
3
3
1
1
1
2
2
1
0
2
1
1
2
2
0
3
0
3
1
0
2
1
1
1
3
2
1
0
2
0
3
2
1
3
3
3
2
3
2
3
3
3
3
3
0
2
2
2
1
2
1
2
3
0
0
3
2
3
0
2
3
2
1
2
3
2
3
3
1
1
1
1
0
2
3
1
1
2
1
2
1
0
1
0
3
3
2
3
3
1
3
1
3
0
2
0
0
2
2
0
1
1
2
0
2
2
3
2
2
2
1
1
3
2
3
2
3
0
3
2
0
2
0
0
3
3
2
3
2
3
0
2
2
1
2
3
3
2
3
2
1
2
0
0
3
1
1
0
2
2
2
1
3
2
3
1
2
0
3
1
3
1
3
3
2
1
1
3
2
3
1
3
3
1
0
2
2
0
0
2
0
3
1
0
1
3
1
2
2
1
0
0
1
3
1
1
0
2
1
3
2
3
2
3
2
2
0
3
2
0
0
0
0
0
3
0
2
0
1
0
3
2
2
2
2
3
3
0
1
3
0
2
0
2
2
1
2
1
3
2
2
1
1
1
0
2
3
0
3
2
0
1
3
2
3
0
1
1
1
1
2
2
0
1
3
2
0
2
0
0
0
0
1
1
2
1
3
3
3
1
3
3
3
0
3
1
1
1
3
3
1
3
0
0
0
0
2
3
1
1
1
3
3
2
1
1
1
2
3
0
3
3
1
3
2
0
1
1
3
1
2
0
3
2
3
1
1
1
3
3
3
0
0
3
2
0
3
3
1
1
2
3
2
3
3
1
2
0
2
1
3
1
2
3
1
0
0
0
1
1
1
3
3
3
0
3
3
2
2
1
1
3
1
2
3
3
1
1
1
2
0
1
1
0
1
1
3
1
2
1
0
1
3
2
0
0
3
3
0
0
0
0
0
1
1
0
0
1
1
0
2
2
2
2
0
2
3
3
0
2
2
2
2
3
0
3
3
2
2
1
1
0
1
2
3
3
3
2
3
1
3
1
0
2
1
2
0
0
3
3
0
1
0
3
3
3
3
2
3
1
3
3
1
3
3
3
3
3
3
2
3
2
0
0
0
3
0
2
2
1
0
0
3
0
1
2
0
1
0
3
0
2
2
2
0
0
2
0
2
0
0
3
3
3
0
2
0
0
3
3
3
3
2
3
3
0
3
3
1
1
0
0
2
2
2
1
3
2
3
0
1
3
2
2
2
0
3
3
3
2
3
3
1
1
0
2
2
1
0
3
3
3
3
0
3
0
2
1
3
3
0
3
0
2
1
0
1
1
2
2
1
3
0
0
2
0
2
3
0
0
0
0
0
2
2
1
3
3
2
3
0
1
1
1
0
1
2
3
2
1
1
3
1
0
3
1
0
3
1
3
2
1
0
3
2
1
1
2
0
3
3
0
3
2
3
2
0
0
1
3
3
0
1
1
0
2
1
2
0
2
3
3
1
0
3
1
3
1
3
3
1
0
0
2
1
0
3
3
1
3
3
0
1
1
3
0
1
0
1
1
0
0
3
2
0
3
0
1
2
2
3
3
1
2
1
3
1
0
0
1
3
1
1
1
0
1
2
3
1
2
2
1
2
2
0
3
2
0
0
3
3
2
2
3
3
1
0
3
3
1
0
0
2
2
0
0
3
3
0
2
2
0
1
3
0
3
0
3
1
1
1
2
1
3
0
1
0
0
2
0
1
0
3
3
3
1
0
0
1
3
1
0
1
1
0
2
3
3
0
3
2
1
2
3
1
2
3
2
3
1
3
1
1
3
1
2
3
2
1
3
3
2
1
3
3
2
2
2
1
0
2
3
2
1
1
1
0
3
0
2
2
1
2
3
3
3
2
0
3
3
2
1
3
1
3
1
0
0
3
3
0
3
2
3
0
3
2
1
3
1
1
0
0
0
1
3
2
3
2
0
0
3
3
3
2
1
3
3
1
2
0
2
0
0
1
1
3
1
3
0
2
3
2
2
3
0
2
3
1
1
0
0
1
0
2
0
3
0
3
3
3
2
0
0
3
0
2
2
3
0
2
0
0
0
0
2
0
0
2
2
3
2
2
2
3
3
3
1
1
0
0
2
1
0
3
0
1
1
3
2
1
3
0
0
2
3
0
1
3
3
2
1
2
1
0
1
2
3
2
3
2
0
1
3
3
3
2
1
1
3
0
1
2
2
3
2
0
0
3
3
0
1
1
2
2
2
2
0
2
1
3
0
3
0
0
0
3
2
0
2
2
2
1
2
0
0
3
2
0
0
3
2
3
2
3
0
0
2
2
1
3
0
1
0
3
3
2
2
2
2
1
0
0
3
3
2
0
0
2
3
1
1
1
1
3
3
0
0
0
1
1
1
2
2
1
3
2
0
1
0
1
3
3
3
1
1
0
2
2
2
2
1
3
1
3
3
1
0
3
1
2
1
3
1
1
3
0
1
2
3
2
2
2
2
2
3
3
1
1
3
3
1
0
1
1
2
1
3
3
2
3
2
2
0
0
0
3
3
2
1
2
0
2
3
0
2
1
3
1
2
2
1
3
2
3
0
3
1
3
1
3
1
0
3
2
1
2
2
0
3
0
3
2
2
0
0
2
3
0
3
0
2
0
0
3
1
2
2
3
0
3
0
1
0
1
2
0
1
1
1
3
1
1
0
1
0
3
2
1
1
1
0
3
3
0
2
2
0
2
2
3
1
3
1
1
1
0
1
1
3
1
0
1
1
2
1
2
1
3
1
1
1
2
2
3
1
0
3
2
2
1
0
1
0
1
0
0
0
0
3
0
3
2
3
1
2
2
0
3
3
0
2
3
0
2
2
0
0
3
0
0
3
3
1
0
3
1
1
2
0
3
1
1
2
2
0
1
0
2
2
0
2
1
1
3
0
3
2
3
2
1
1
1
0
1
1
3
0
0
1
3
3
1
1
2
3
2
1
2
1
3
3
3
2
2
2
2
2
3
3
0
2
2
2
0
3
2
1
0
1
3
1
3
3
3
3
0
3
1
0
0
0
0
1
3
1
0
3
0
1
1
2
2
0
3
1
2
2
2
3
3
2
1
1
2
1
1
1
1
2
3
3
2
2
1
1
0
1
3
1
1
1
1
3
2
0
3
2
1
2
0
3
2
2
2
0
3
2
3
3
0
2
1
3
3
0
0
3
3
2
3
2
1
1
1
2
0
0
2
2
2
3
1
1
2
0
2
2
3
2
0
3
1
1
0
0
1
2
2
0
3
0
2
0
1
1
2
2
2
3
0
1
1
3
2
1
3
0
0
2
2
0
0
3
3
0
0
0
2
0
1
1
2
3
3
0
1
1
1
1
2
2
3
1
1
3
3
1
3
2
3
3
3
2
2
1
3
1
2
0
3
1
0
3
3
0
3
0
0
3
2
0
3
3
1
0
0
0
3
0
1
3
1
3
2
2
3
1
1
0
2
2
2
2
3
0
3
0
1
3
2
3
2
0
3
1
3
2
3
3
3
3
3
2
1
0
0
1
3
2
3
3
2
0
2
1
0
2
1
2
2
3
1
2
2
3
0
0
3
0
0
0
0
2
0
1
1
0
1
2
3
0
1
1
2
1
0
0
1
1
3
1
1
1
3
3
3
0
3
3
0
1
2
3
1
1
3
2
2
1
0
1
2
1
2
3
1
0
3
3
3
0
3
2
0
3
0
3
1
2
3
2
3
0
3
2
1
3
2
0
1
0
0
1
1
1
0
0
2
0
2
3
0
1
3
0
0
0
0
3
0
1
3
2
2
1
2
2
1
1
1
3
1
3
1
1
1
1
3
2
1
0
3
3
3
0
3
3
3
3
0
3
2
2
1
1
0
0
2
3
3
1
2
3
2
2
2
1
0
3
3
1
0
1
1
3
3
1
1
0
3
3
3
3
0
2
3
0
2
1
2
3
3
2
1
3
3
2
1
3
1
0
0
3
2
1
3
2
2
3
2
3
1
0
0
1
3
1
2
0
0
2
2
3
2
2
2
0
0
2
2
1
1
0
3
2
0
1
0
0
0
0
3
3
3
2
1
1
0
0
2
0
1
1
3
2
2
1
1
2
1
3
3
3
1
1
3
3
2
1
3
3
1
3
0
2
2
0
3
3
0
1
3
2
0
3
2
1
2
2
1
0
0
0
3
0
3
0
0
0
1
3
3
3
3
0
2
3
1
2
0
2
2
0
0
3
2
2
0
3
0
1
2
1
1
1
0
1
3
2
3
0
0
1
3
0
0
3
3
0
2
1
0
2
1
0
3
3
3
0
2
1
1
1
3
3
1
2
2
1
0
2
3
2
2
3
0
0
1
1
3
0
1
3
3
0
3
0
0
2
3
3
3
3
0
1
3
3
1
2
1
3
2
3
0
0
2
1
3
2
2
2
1
1
3
0
2
1
0
2
1
0
0
2
0
3
0
1
3
1
0
0
3
3
1
0
3
3
3
3
3
0
0
0
0
0
0
2
3
2
0
2
3
3
2
2
3
0
0
0
1
0
3
3
0
3
2
3
0
1
3
3
2
3
0
1
2
1
0
3
1
1
2
2
2
1
3
1
3
3
0
3
2
2
3
2
0
2
3
0
1
3
0
3
3
0
1
3
0
1
2
1
3
2
2
2
1
1
0
0
2
0
1
3
3
1
0
2
2
3
2
2
2
2
2
3
0
1
0
3
0
3
3
2
1
0
2
0
3
2
2
2
3
3
3
2
3
0
0
1
2
2
1
2
0
1
1
1
1
1
1
3
0
0
1
0
3
1
2
2
3
0
3
1
1
2
0
1
1
3
0
1
0
3
0
0
0
1
3
2
1
0
0
1
3
2
3
2
3
0
1
2
3
0
1
0
1
0
2
2
1
2
2
2
2
0
1
3
3
3
3
3
0
3
0
3
3
1
3
0
1
2
1
2
1
0
3
1
1
1
2
3
1
0
3
1
1
3
3
1
1
0
1
3
1
1
1
0
3
1
0
0
1
2
2
3
0
0
0
0
2
2
3
2
2
2
1
1
1
3
3
3
3
0
0
3
1
0
3
3
2
0
0
0
0
0
2
3
3
1
1
1
1
1
1
0
2
3
0
0
2
2
1
2
0
0
0
1
3
3
2
3
3
1
2
3
2
3
0
0
0
0
2
2
1
1
1
2
3
2
3
2
2
0
1
0
3
3
0
1
0
3
0
0
0
0
0
2
1
1
0
3
3
1
1
0
2
3
0
2
3
1
2
3
2
1
0
0
0
2
3
0
2
3
1
3
0
3
0
0
1
0
0
1
0
1
1
0
3
2
0
1
1
0
1
1
3
3
1
3
0
2
1
1
1
1
3
0
0
0
0
0
3
3
0
0
0
1
0
3
3
3
1
3
0
1
0
3
3
1
3
1
3
2
0
0
0
3
0
1
0
3
3
0
0
3
3
3
2
1
3
2
3
3
3
0
1
2
2
3
0
3
0
3
0
2
2
2
0
0
0
2
3
0
0
3
1
3
1
0
0
1
0
2
1
3
1
1
3
1
0
1
1
0
0
3
2
0
0
3
0
0
2
0
0
3
0
1
2
3
0
0
1
1
1
1
1
0
3
0
3
1
3
3
1
1
1
0
2
3
0
3
3
0
2
3
1
1
1
0
3
3
2
1
3
1
3
3
3
3
3
1
2
1
0
0
0
0
1
0
1
0
0
0
2
3
3
3
1
0
3
0
3
2
0
0
3
0
3
0
1
3
2
0
1
2
2
0
3
2
1
3
3
2
3
3
1
1
1
0
1
2
2
3
1
3
1
0
2
2
2
1
0
2
3
2
1
1
3
1
0
0
1
3
2
0
0
0
0
3
1
2
0
0
0
2
3
1
0
2
1
0
3
0
0
0
3
1
3
3
3
2
1
0
1
0
2
2
2
1
1
1
0
3
3
0
0
0
1
2
3
3
3
1
0
3
0
3
0
0
3
0
0
0
0
0
1
1
0
2
2
3
3
1
0
0
1
0
0
0
3
0
2
0
2
0
0
0
1
3
1
3
3
3
3
1
0
3
0
3
0
2
1
1
2
1
2
0
0
0
2
2
0
3
2
1
2
3
2
3
3
0
0
1
1
2
3
1
3
3
0
1
2
2
3
2
0
0
1
1
2
2
0
1
2
2
1
2
1
0
2
3
1
3
2
0
0
1
1
1
0
1
0
0
3
0
0
0
0
3
3
2
1
3
3
3
0
1
0
3
2
1
0
1
3
0
2
0
3
3
2
1
3
1
3
3
3
1
3
3
1
1
1
1
2
3
2
3
3
0
0
1
2
3
3
0
3
1
2
3
0
3
3
2
1
0
1
2
2
2
1
0
1
2
3
1
0
0
2
3
2
1
3
2
2
2
3
1
0
0
1
0
3
3
3
0
3
1
0
2
1
2
0
3
0
1
0
2
1
0
3
0
1
3
1
2
1
0
1
1
1
1
3
3
3
0
0
3
3
1
0
0
2
3
1
2
1
3
3
2
1
3
3
1
1
0
1
1
3
3
3
2
0
2
2
2
0
1
1
2
0
0
3
0
3
2
1
1
0
2
3
3
1
1
1
3
3
1
1
2
2
0
0
1
3
3
3
3
0
3
3
1
3
2
2
1
0
0
2
2
0
3
0
0
2
3
1
2
3
1
0
2
3
0
2
0
1
1
0
0
3
0
0
0
1
3
2
3
1
1
1
1
0
0
1
3
2
1
1
3
1
2
3
1
0
0
2
3
3
3
0
2
0
1
3
2
3
2
0
2
0
2
2
2
3
0
0
3
0
0
0
1
0
3
3
2
3
0
3
0
1
2
3
2
3
3
3
2
3
1
0
3
1
1
0
0
0
3
1
0
1
3
1
3
3
0
1
0
3
2
2
1
3
3
1
3
1
1
1
3
3
2
1
2
1
1
3
2
0
2
2
0
0
0
1
3
0
2
3
2
3
2
3
0
2
2
1
0
0
0
1
2
0
3
2
0
0
0
0
0
1
2
0
3
2
0
2
1
2
0
3
0
0
0
0
3
2
0
0
3
3
3
1
1
0
1
0
0
2
2
2
0
0
0
3
1
1
2
3
2
2
3
0
3
1
0
3
0
3
2
3
0
3
3
0
0
0
3
1
3
2
0
0
0
3
2
3
0
0
0
0
0
0
0
1
0
0
0
0
3
0
0
1
1
1
1
1
1
1
3
1
2
2
3
1
1
2
2
2
2
1
2
1
2
2
2
1
1
0
0
1
1
0
2
3
3
3
0
1
0
1
3
1
2
1
3
3
1
1
2
1
2
2
0
2
3
3
0
0
3
3
3
2
0
0
0
3
2
0
3
3
3
1
0
3
3
2
1
1
2
2
1
1
3
0
3
3
0
0
3
2
3
1
3
1
3
1
3
3
3
1
3
3
3
0
2
0
1
0
2
1
0
0
2
0
0
0
3
3
0
1
2
0
0
2
3
1
3
1
3
1
2
0
2
2
3
0
2
2
3
3
1
2
2
3
3
0
3
2
3
0
2
0
0
3
1
1
1
3
0
1
2
2
1
0
2
0
0
0
3
3
3
1
2
3
1
3
1
3
2
1
1
3
1
0
2
1
2
1
0
1
2
1
1
2
2
0
3
3
3
0
1
2
0
2
1
1
1
3
1
2
2
1
3
0
3
3
2
2
3
3
1
2
3
0
2
1
0
1
0
3
1
1
1
2
3
0
1
0
3
1
3
1
2
3
3
3
3
3
3
0
2
1
2
0
2
0
0
3
1
0
1
1
1
0
3
1
3
3
0
2
1
1
0
3
3
1
3
1
2
3
3
3
3
2
0
1
0
3
0
2
1
3
3
3
0
0
1
0
3
3
3
2
1
3
2
3
0
1
2
0
3
2
1
0
0
0
1
3
1
1
1
3
3
1
1
0
3
3
2
2
1
3
1
0
3
2
3
2
1
2
3
3
3
3
3
1
1
3
0
2
3
0
0
2
1
2
3
3
1
1
0
2
0
1
0
0
3
3
2
0
0
0
3
0
0
1
3
3
3
2
3
0
1
2
0
0
1
1
0
2
3
3
1
2
1
2
0
3
1
2
0
2
0
3
3
2
0
3
2
1
1
3
0
3
2
2
1
2
3
0
2
1
0
2
0
3
1
1
1
2
2
1
0
1
1
0
1
2
1
0
2
0
0
0
0
2
0
2
3
3
3
1
1
3
3
2
1
1
1
3
0
0
1
2
2
3
3
2
2
3
3
1
0
2
0
0
3
0
0
3
0
3
3
0
0
3
0
1
3
3
1
2
3
2
3
0
2
2
0
1
3
2
2
1
3
1
1
1
2
3
2
1
2
2
3
3
2
0
2
3
1
1
0
1
0
0
3
2
3
0
0
3
2
0
0
2
2
2
3
1
1
3
1
2
2
0
2
0
3
0
0
0
0
3
1
0
3
2
3
1
2
0
3
1
1
3
2
0
1
2
0
2
1
1
1
3
1
1
1
3
1
3
2
3
1
1
2
0
0
0
3
1
1
3
2
3
2
0
3
1
0
2
2
1
1
0
1
3
1
3
3
2
0
1
1
3
1
1
3
3
3
2
0
0
3
1
1
1
0
3
2
2
2
0
2
2
3
0
0
1
1
1
3
0
0
2
3
0
1
1
3
1
1
1
3
2
3
3
0
0
2
1
0
3
0
2
1
1
1
3
3
3
3
0
1
1
2
1
0
0
3
2
2
1
1
1
1
0
0
3
0
0
3
1
3
2
1
2
3
1
3
2
2
3
1
3
3
2
0
3
3
3
0
0
3
3
1
2
0
1
3
0
0
3
1
1
1
2
3
1
2
3
3
3
2
2
2
2
0
0
2
1
0
3
1
3
1
3
0
1
3
0
3
2
1
3
2
3
2
2
1
3
0
0
3
2
3
2
2
3
1
2
2
2
3
2
0
2
1
0
2
1
3
0
3
3
3
0
3
1
3
1
0
2
2
2
3
2
1
3
0
1
2
2
0
1
3
3
1
1
3
2
2
0
3
2
0
0
1
2
3
3
3
0
0
0
2
3
1
0
2
3
3
3
0
3
3
2
3
3
3
3
2
0
0
3
0
3
3
2
2
0
3
0
3
2
3
2
2
2
0
1
3
1
0
0
2
2
2
0
2
2
1
1
0
1
0
1
1
1
2
0
3
3
1
1
3
0
3
1
3
2
3
2
2
2
2
1
0
3
0
3
0
3
0
1
0
3
3
2
1
2
3
1
0
0
3
3
2
1
2
0
2
3
0
0
3
3
1
0
2
2
1
3
2
2
0
1
1
1
2
1
3
3
3
1
1
1
3
3
1
3
1
2
3
1
0
0
2
3
2
0
0
2
2
2
3
2
3
0
0
2
2
1
0
2
2
0
1
3
0
0
0
1
1
0
0
0
2
1
1
1
1
0
3
0
0
2
3
1
2
2
3
1
0
3
1
3
0
0
0
1
0
2
0
3
2
3
3
3
3
1
2
0
0
0
0
3
3
3
2
1
2
3
1
1
1
1
2
3
3
1
0
0
0
3
0
0
2
2
2
0
2
2
3
0
1
3
2
0
0
0
2
2
1
3
2
3
0
3
3
2
0
2
0
3
3
3
2
1
3
2
0
3
3
3
0
3
1
1
3
0
1
2
2
3
1
2
1
0
3
0
3
1
3
3
2
3
2
1
2
2
0
2
3
0
0
1
0
0
3
1
0
2
2
3
2
2
1
3
0
3
2
1
2
3
3
2
3
2
3
2
1
0
0
3
2
3
3
1
1
2
2
3
0
1
2
3
3
0
3
3
1
2
0
1
2
0
3
3
0
1
2
3
0
2
1
3
0
1
2
1
3
3
2
3
1
0
0
2
3
0
0
2
2
2
1
0
1
2
0
2
2
2
2
3
1
2
2
1
0
2
3
2
0
0
2
2
0
0
3
2
1
1
0
0
3
3
1
3
0
0
3
3
0
3
0
2
2
1
1
2
2
1
1
3
0
0
3
0
1
2
0
2
1
3
2
1
0
1
0
3
3
3
1
0
0
2
2
3
0
3
0
1
0
3
0
3
3
2
3
3
1
2
2
2
2
2
2
0
1
3
2
3
1
3
2
1
3
2
0
3
3
3
1
2
3
2
0
3
1
0
3
0
2
3
2
3
2
1
2
2
2
1
1
2
3
0
3
3
3
2
2
0
2
0
2
3
2
3
3
3
1
3
3
1
0
1
2
1
2
2
0
3
3
0
0
2
2
2
1
1
3
1
0
1
3
2
1
0
2
3
3
2
3
3
1
1
3
3
1
0
1
0
2
1
3
1
1
3
1
3
0
3
3
1
3
0
0
0
0
2
3
3
2
2
1
3
3
3
2
1
3
0
1
3
2
0
0
3
3
1
0
3
3
3
3
0
2
1
0
2
1
3
0
2
3
1
2
3
1
1
2
1
2
0
2
3
2
3
3
1
0
1
3
3
0
0
2
1
2
2
1
0
0
3
3
1
3
3
2
0
1
1
3
2
3
3
2
2
2
1
1
1
2
1
1
0
1
2
2
0
2
3
0
0
1
1
1
1
0
1
3
1
1
3
3
1
1
1
1
1
0
0
0
2
2
3
0
0
0
0
3
0
2
1
1
0
0
2
3
3
0
1
3
2
2
3
3
3
1
1
1
0
3
0
1
2
2
1
1
2
0
0
2
1
1
1
2
2
1
0
2
2
0
2
2
2
2
1
2
0
2
1
1
0
1
0
1
3
3
1
2
1
3
0
0
2
2
2
3
1
2
2
3
2
1
0
2
2
0
1
3
2
0
1
0
0
1
1
3
3
0
0
0
1
3
3
0
1
3
3
3
0
3
3
1
3
1
3
1
0
0
0
2
1
2
0
2
2
2
3
3
1
3
3
0
0
0
2
0
1
0
0
1
0
0
0
0
3
0
2
0
3
1
3
3
1
0
2
0
2
3
0
0
2
2
1
0
1
2
2
3
1
2
0
3
3
2
2
2
0
3
3
3
3
1
3
1
2
1
1
3
3
3
2
1
1
3
0
2
0
2
2
2
3
2
0
0
0
2
0
2
2
1
1
0
3
0
1
2
3
3
3
2
1
1
3
1
0
3
3
0
0
2
3
0
0
0
3
3
3
0
3
2
1
1
3
1
3
3
0
1
1
1
3
0
0
3
2
1
3
3
2
3
2
2
2
3
3
2
3
1
1
1
1
2
1
2
1
0
1
0
1
0
0
0
0
2
2
2
3
2
1
2
1
1
2
2
3
1
3
3
0
0
2
3
0
2
3
2
1
3
1
3
2
3
0
0
0
3
3
0
2
0
3
0
2
2
2
0
3
1
2
1
3
0
1
0
1
1
3
3
3
1
2
0
1
0
3
1
2
1
2
2
3
3
1
3
2
1
3
2
3
3
2
3
0
3
1
3
3
3
1
3
1
1
3
1
3
2
3
3
1
0
3
0
1
0
2
3
0
3
3
1
3
3
0
3
2
0
3
3
0
3
2
2
0
1
0
2
2
2
3
2
2
2
2
2
0
0
2
0
0
3
3
0
3
0
1
3
0
0
0
1
0
1
0
0
2
3
3
3
2
0
3
2
1
0
0
2
0
1
1
3
1
3
2
0
2
0
0
0
2
1
1
1
3
1
1
1
1
3
1
1
3
2
1
3
3
1
3
1
1
3
3
3
3
3
1
3
2
3
0
2
2
1
0
2
0
1
0
0
0
1
2
0
0
2
0
3
1
1
1
3
1
0
0
2
3
3
1
1
1
2
2
0
2
0
0
3
1
1
2
2
1
3
1
2
1
1
0
0
3
1
2
3
0
2
3
1
3
3
1
3
2
0
2
3
0
0
3
2
0
3
2
1
1
0
2
0
0
2
2
1
3
3
3
1
2
3
3
0
2
3
3
2
2
1
3
0
3
0
2
1
1
1
0
2
1
3
0
2
1
1
1
0
3
2
1
1
2
3
1
0
0
0
3
2
3
3
0
3
2
2
3
0
3
1
2
1
0
0
1
3
1
3
3
0
1
2
0
3
3
3
3
0
1
2
2
2
1
1
1
0
2
1
3
3
2
0
0
2
3
3
3
1
1
2
1
2
2
0
3
3
3
2
1
1
0
1
1
0
3
1
2
1
1
3
1
2
1
0
2
2
0
3
2
1
0
1
3
1
1
1
0
0
1
0
3
0
3
2
0
0
3
1
3
0
1
0
0
0
0
3
3
0
3
0
0
0
2
0
3
2
0
0
3
2
2
1
2
0
1
0
2
3
1
1
0
0
3
2
3
3
3
0
3
3
0
2
0
3
2
2
2
1
0
3
3
3
3
0
1
0
1
2
3
2
1
3
3
0
3
3
1
1
0
0
2
2
2
1
0
0
0
2
3
0
0
2
1
3
3
1
3
0
2
3
1
2
0
2
0
3
3
2
0
1
2
1
0
0
1
0
0
0
0
0
0
2
0
0
2
1
3
0
2
3
1
3
3
0
3
0
1
1
3
2
2
3
1
0
3
0
2
2
3
0
3
2
2
3
1
1
1
0
0
0
3
2
1
0
3
3
3
3
3
3
3
2
0
0
3
2
3
2
2
0
2
3
3
2
3
0
3
0
3
1
1
2
0
1
3
1
0
0
0
2
1
3
1
0
1
0
1
2
1
2
0
3
3
3
1
2
3
2
2
0
0
3
3
1
3
3
1
3
0
3
2
1
0
0
2
3
1
2
0
0
0
0
1
2
0
2
0
0
1
3
1
1
1
0
0
1
2
1
3
3
3
1
3
3
1
3
0
3
3
1
2
2
2
0
1
2
2
2
2
0
2
1
1
2
1
0
1
2
2
2
1
0
3
3
0
0
3
0
1
1
2
0
0
0
0
1
0
3
0
1
0
1
1
3
1
3
0
0
3
1
3
0
3
3
1
2
1
2
3
0
3
2
2
0
3
0
2
1
1
1
0
1
3
3
3
1
2
2
0
0
3
2
0
1
3
1
3
3
3
1
1
1
0
3
1
0
0
3
0
2
2
3
3
2
3
3
3
0
2
2
0
0
1
2
3
3
1
1
2
2
0
3
0
1
3
2
3
3
3
2
1
0
1
0
3
2
3
0
1
3
2
3
2
3
1
1
3
0
0
3
3
0
3
2
0
3
3
1
3
3
2
0
1
0
2
3
2
3
3
1
1
1
3
1
1
3
3
0
0
2
3
3
2
0
3
2
0
1
0
0
3
3
1
1
3
1
3
1
0
0
1
3
1
2
0
1
3
0
3
3
1
0
3
3
0
2
3
3
1
0
2
2
1
1
3
2
0
3
3
0
2
0
1
0
2
1
3
2
2
1
3
3
3
3
1
1
0
1
0
0
1
3
3
1
1
0
3
0
1
3
2
2
0
0
0
0
1
0
0
0
1
0
3
2
3
2
0
1
1
1
2
3
0
0
0
2
1
3
1
2
0
2
2
3
3
3
0
0
2
2
3
1
3
0
0
2
0
0
2
1
3
1
2
0
0
2
2
1
2
2
3
3
2
2
1
1
2
1
0
3
2
0
2
0
0
3
0
2
3
0
3
2
0
1
1
0
2
2
3
3
3
2
0
1
3
0
3
0
1
0
3
1
2
3
0
3
3
3
0
3
0
3
0
3
2
3
1
2
3
1
1
1
2
2
3
1
0
0
0
3
3
0
1
2
3
2
1
3
3
1
3
3
2
0
1
0
0
3
3
0
0
0
0
0
3
0
3
3
1
3
2
0
0
1
0
0
0
3
0
0
3
1
0
0
1
3
2
1
3
1
3
2
3
2
0
1
0
1
3
3
0
0
1
0
3
1
2
0
3
3
2
1
1
2
0
1
1
2
1
3
2
0
1
2
0
3
1
0
3
3
3
1
0
3
0
1
3
0
3
0
0
2
2
0
3
3
1
1
3
1
1
2
2
0
1
3
0
1
1
0
2
2
0
0
0
2
0
2
3
3
0
1
1
1
2
3
3
2
2
1
3
2
3
0
0
1
2
3
3
2
3
2
1
0
0
1
2
1
0
2
3
2
0
0
3
1
3
1
1
2
2
1
0
1
2
3
2
3
2
0
3
3
3
3
2
1
3
1
1
2
2
0
1
1
0
3
3
3
3
3
3
2
2
3
2
1
0
0
3
1
1
0
2
3
0
1
1
1
1
3
3
3
2
0
1
0
0
1
0
3
3
0
1
1
2
0
0
0
0
0
3
1
1
3
3
3
0
0
2
0
0
0
3
3
3
3
1
1
2
0
1
3
3
0
0
1
0
2
3
3
3
2
1
1
1
0
0
2
1
3
0
1
3
3
3
3
0
0
0
2
1
3
1
0
0
3
3
1
0
0
1
1
2
0
0
0
1
0
0
3
2
3
0
0
0
1
3
2
2
3
1
0
0
0
0
1
2
0
0
0
0
1
2
3
3
1
3
2
3
1
2
1
3
1
0
0
1
2
3
0
1
1
1
2
0
3
3
2
3
1
0
0
0
1
1
3
0
1
0
1
2
1
3
3
1
3
2
3
3
3
1
1
3
2
2
3
0
2
1
1
3
2
2
1
0
2
1
0
2
3
1
0
3
3
3
0
3
2
3
1
2
2
0
0
1
3
1
3
1
1
2
2
2
3
1
1
2
1
2
0
2
3
3
3
3
3
1
0
2
1
2
2
2
2
2
0
3
3
1
0
1
1
2
3
3
3
3
0
1
0
1
1
2
0
3
2
1
1
0
0
1
0
3
1
1
1
3
2
2
0
3
0
3
3
0
3
3
2
2
2
2
1
3
3
3
1
2
0
0
1
3
3
3
0
0
3
3
2
2
2
3
2
0
2
0
1
3
2
1
2
3
1
1
3
1
2
0
2
3
0
0
0
3
2
2
1
1
1
2
2
2
3
0
1
3
0
3
1
2
1
1
2
3
1
0
0
2
0
0
0
0
0
1
3
2
0
0
3
2
0
1
3
3
2
3
0
3
3
0
1
0
1
3
1
1
1
3
1
0
0
1
1
1
3
3
2
1
1
1
3
1
0
3
0
0
0
1
2
3
0
1
0
2
1
1
0
2
0
0
3
0
2
3
2
1
1
0
0
3
1
1
2
0
1
2
2
3
2
0
2
2
1
3
1
0
3
3
0
0
3
3
3
1
0
3
3
2
0
0
1
3
0
2
3
2
0
1
3
2
3
0
3
0
3
3
1
0
2
3
0
1
2
3
3
1
2
1
2
1
3
1
1
1
3
1
3
1
0
1
2
2
2
2
0
1
0
1
3
1
3
0
0
2
0
0
0
1
0
3
2
1
3
1
0
0
1
3
1
3
1
3
3
1
3
0
3
1
3
2
1
3
1
0
2
3
2
0
2
0
1
3
2
0
3
1
3
1
0
3
0
3
2
0
3
2
1
0
3
2
3
1
0
0
3
2
0
2
3
2
0
1
1
3
1
1
2
1
1
2
1
1
1
2
2
1
1
0
3
1
3
3
3
2
3
0
0
1
3
3
3
1
0
3
2
1
0
1
3
0
0
1
1
0
0
1
2
3
1
2
3
1
2
3
1
2
0
3
0
3
0
2
2
1
0
1
2
2
2
2
0
2
2
2
2
3
0
3
1
0
0
3
2
2
3
2
0
2
3
2
3
3
1
3
1
3
0
2
1
0
0
1
1
2
0
0
2
2
2
1
2
2
2
3
3
1
0
2
2
0
1
0
0
2
1
0
2
1
2
3
1
3
2
3
0
0
3
3
2
2
1
1
1
1
0
3
3
1
1
3
3
0
3
2
0
3
2
3
2
2
3
0
2
3
2
0
3
0
3
1
2
3
0
1
3
3
3
1
3
2
0
1
1
3
3
3
2
3
2
2
1
0
3
3
1
0
1
3
1
1
3
3
1
0
0
0
1
2
0
2
1
3
0
0
3
1
1
2
3
1
3
3
0
2
3
0
3
3
3
1
0
3
3
3
3
2
3
3
2
3
3
1
0
0
2
0
1
2
2
1
3
1
1
2
0
0
3
3
0
2
2
2
2
2
3
0
3
3
0
3
0
2
3
2
1
1
0
0
3
3
2
2
1
3
0
0
3
3
3
3
0
3
0
3
0
1
1
3
3
0
0
3
0
3
3
3
0
3
0
1
1
1
1
1
3
0
3
1
3
3
1
2
0
2
2
1
1
1
1
0
2
3
3
3
1
1
0
2
1
0
3
3
2
3
0
1
1
0
0
0
0
0
3
0
0
3
2
0
0
2
2
1
3
2
3
1
1
0
0
2
2
0
3
3
3
1
2
2
0
1
0
1
0
3
2
3
1
1
0
3
0
1
1
2
1
3
1
0
0
0
2
0
2
0
0
1
3
3
1
0
1
1
1
3
3
1
0
2
0
0
2
1
1
1
2
1
0
0
3
3
3
1
3
1
2
0
2
0
0
1
0
0
3
3
0
3
0
2
1
1
3
3
1
3
3
3
0
1
1
3
3
0
0
2
1
2
1
1
1
2
2
0
3
3
3
3
3
2
1
2
0
0
1
1
1
3
2
0
3
0
0
1
3
3
1
3
1
0
1
3
3
1
1
3
2
0
2
0
3
0
1
1
1
2
0
3
3
2
1
3
0
1
2
0
1
2
0
3
0
3
1
1
2
3
2
0
0
1
0
0
3
2
3
2
3
2
3
2
0
1
0
0
0
3
0
0
0
0
3
3
3
1
3
3
1
3
0
0
1
1
3
0
3
2
2
1
1
1
1
3
1
0
1
1
1
3
1
0
0
2
0
0
1
3
3
1
3
3
2
1
3
3
3
3
3
2
3
1
2
0
3
1
0
0
3
3
3
1
1
3
0
1
2
1
1
1
3
2
3
0
2
0
2
1
1
3
0
3
0
0
2
0
3
3
3
0
3
2
2
0
3
0
3
3
3
0
3
1
2
3
1
3
0
3
1
1
0
0
3
0
2
1
3
1
1
1
0
3
3
3
2
3
1
3
0
1
0
1
0
0
1
1
3
2
3
2
2
2
2
0
0
3
3
3
2
0
0
2
1
3
2
3
1
2
1
0
3
3
1
1
0
3
0
2
3
2
3
2
3
0
0
0
1
0
2
2
3
1
0
0
1
1
3
0
0
0
2
3
1
3
0
0
0
0
0
0
3
1
1
1
0
0
1
3
0
1
1
1
3
2
1
1
3
3
3
1
1
0
0
1
0
1
1
1
2
2
1
1
2
2
2
3
3
3
0
1
0
0
3
1
0
3
0
3
2
0
2
0
1
1
3
3
0
0
2
1
2
0
1
0
3
1
2
0
1
2
3
0
2
2
1
3
2
3
1
3
2
0
3
3
0
0
0
0
2
1
1
0
0
2
2
1
2
3
0
2
3
2
3
3
3
1
2
0
3
0
3
0
1
3
3
1
3
0
0
2
2
1
1
0
1
0
3
3
0
0
1
2
1
3
3
2
3
3
2
0
1
0
3
3
3
3
2
2
3
0
3
1
2
1
2
2
2
2
2
0
3
1
0
0
3
3
3
0
2
2
3
3
3
0
2
0
0
0
3
2
2
3
3
2
0
2
0
1
2
0
1
2
3
3
2
3
0
1
1
3
3
3
3
1
1
0
1
0
2
1
0
1
0
3
3
1
1
3
2
2
3
3
1
0
2
0
1
3
2
1
2
3
2
2
1
1
0
1
1
3
3
3
3
3
1
0
1
3
2
2
0
0
3
0
1
1
1
2
2
2
1
1
2
2
3
0
3
1
1
1
0
0
1
3
2
2
3
3
2
3
0
0
3
3
0
3
3
1
1
2
0
1
3
3
2
2
3
1
3
1
0
0
1
2
0
2
3
1
1
3
3
1
3
0
2
1
1
1
1
2
0
0
1
3
1
1
0
0
0
3
1
3
3
3
3
1
1
0
1
1
2
1
1
0
1
1
3
3
2
3
3
1
2
0
1
1
3
2
2
1
1
2
1
1
3
2
1
3
0
1
2
0
2
1
3
1
1
2
1
1
2
3
2
3
2
3
3
0
2
0
0
0
0
3
0
2
2
0
1
2
3
0
2
0
0
0
3
1
3
0
3
0
0
1
2
1
3
1
2
3
2
1
0
3
1
0
3
1
3
3
2
1
0
1
2
3
2
1
3
1
3
0
3
3
3
3
2
2
2
3
0
0
1
0
0
1
3
0
0
1
0
0
1
2
3
2
2
2
1
3
2
3
2
2
2
3
3
1
0
2
0
0
3
0
3
2
1
0
3
2
0
1
3
0
1
1
2
1
3
2
1
3
1
0
3
3
2
3
0
3
3
2
3
1
3
2
0
3
2
2
3
3
3
0
2
0
2
3
0
0
1
0
0
2
2
0
1
0
3
1
2
1
1
3
1
1
1
1
3
3
1
1
1
2
1
3
3
0
0
2
0
0
1
0
1
3
1
3
1
1
1
0
0
0
3
3
1
2
0
3
2
0
2
3
3
0
3
3
3
1
0
1
2
2
1
2
3
0
1
2
1
0
1
3
1
1
1
0
2
2
0
3
0
1
1
3
0
1
3
2
3
2
3
3
1
3
2
3
3
3
3
1
0
0
0
0
1
1
0
0
2
0
1
2
0
3
0
3
3
0
3
3
1
1
2
0
2
1
3
2
0
0
3
0
0
0
3
3
2
0
1
0
3
2
2
3
1
3
0
2
3
3
3
3
0
2
1
1
3
0
1
2
0
0
1
1
2
3
2
2
2
2
2
2
0
3
2
2
1
0
1
1
1
1
3
3
2
0
0
1
2
0
3
3
0
1
3
0
2
0
3
0
0
3
1
0
3
0
3
3
2
1
1
0
1
3
0
1
2
0
0
2
0
0
0
2
3
3
0
0
2
2
2
3
3
1
0
0
0
2
2
1
1
0
0
2
2
1
0
1
1
3
1
0
3
3
0
3
0
1
2
3
2
1
1
1
2
1
3
0
3
3
1
2
3
1
3
3
2
0
3
1
2
3
1
2
1
0
3
0
2
3
1
1
3
2
3
3
3
0
2
1
1
2
0
3
3
2
1
1
0
1
1
3
1
1
0
3
2
0
3
2
0
0
3
0
3
1
2
2
2
0
3
3
2
2
2
2
1
0
1
1
1
3
3
3
1
0
3
1
2
2
3
0
1
1
2
3
0
2
2
2
3
0
0
1
3
3
1
0
2
1
1
0
0
2
3
1
3
1
3
2
3
3
1
1
3
3
3
0
0
3
0
0
2
2
1
0
1
1
2
1
2
3
2
2
1
3
0
1
1
1
1
0
2
3
1
3
0
2
0
3
2
0
3
3
3
1
1
0
3
2
2
3
2
3
0
2
3
1
1
0
0
1
0
2
0
1
3
0
2
2
3
0
0
0
2
1
3
0
1
3
1
1
1
0
1
1
0
2
3
2
3
3
3
3
2
3
3
3
3
2
0
2
2
1
0
2
0
0
2
1
0
3
2
3
2
3
3
3
2
3
2
3
2
0
3
0
1
2
2
2
0
0
0
1
1
3
2
1
1
0
3
0
3
2
0
2
0
0
3
1
1
1
3
3
3
2
3
3
1
1
3
2
1
0
1
2
1
1
3
0
0
0
0
2
1
1
1
0
1
2
2
2
1
1
3
0
0
2
2
0
1
1
3
3
1
1
1
2
1
1
0
2
0
2
3
0
3
0
0
3
1
0
1
1
2
2
3
2
1
2
2
3
0
0
2
1
1
0
0
0
2
1
1
3
0
2
1
3
0
2
0
0
0
3
0
1
1
2
3
3
2
2
2
0
3
0
2
1
2
3
1
3
0
0
2
3
2
2
1
0
1
3
3
2
2
3
3
1
3
2
3
2
1
3
0
2
1
3
0
3
0
0
1
2
2
0
3
2
0
3
1
3
1
2
3
3
3
0
2
3
3
3
1
1
2
3
3
1
0
1
0
1
3
1
3
0
1
1
1
3
0
0
0
0
1
2
3
3
3
1
1
3
2
1
2
1
3
1
2
3
3
0
0
3
3
2
1
1
1
0
3
0
2
1
1
0
3
2
1
3
3
3
2
2
2
1
3
0
1
3
3
3
1
3
0
1
0
1
3
1
1
0
0
1
0
1
2
3
3
2
2
2
3
0
2
2
2
2
0
3
1
0
2
2
3
0
0
2
1
3
2
1
2
2
2
0
0
2
2
3
3
0
3
1
3
3
3
0
3
0
2
3
2
2
2
2
3
0
0
1
2
2
1
0
3
3
2
2
0
2
1
0
2
1
0
2
2
1
2
1
3
2
2
1
0
0
3
1
3
0
2
0
0
2
0
3
3
1
1
3
1
1
3
2
1
2
3
3
3
3
0
0
2
2
3
1
1
3
2
0
0
2
1
0
3
2
2
3
0
0
3
2
0
3
3
3
1
2
3
0
1
3
2
0
0
3
3
1
1
3
3
3
3
3
3
2
1
0
2
0
1
1
0
2
0
1
1
2
1
0
3
2
2
2
0
0
3
1
1
2
2
0
2
3
1
1
2
3
3
2
0
2
2
1
3
0
2
2
1
1
3
1
2
3
2
1
3
1
0
3
1
0
3
3
0
2
3
0
3
3
3
3
3
1
2
2
3
1
1
2
1
3
3
0
0
2
0
2
3
0
1
0
0
3
3
1
3
1
0
2
0
0
0
3
1
3
0
1
2
2
2
1
0
0
3
0
2
2
1
1
3
2
0
3
2
1
0
1
1
3
0
2
3
1
0
2
0
3
3
2
1
2
2
3
1
1
3
2
3
1
2
3
0
0
2
2
1
3
2
2
2
3
3
0
2
3
3
2
1
3
0
3
1
1
0
1
1
0
0
2
0
0
1
3
0
0
1
2
2
2
2
1
0
1
1
1
2
2
0
3
3
3
3
2
0
3
1
2
2
0
1
2
0
2
1
0
2
0
1
0
2
1
3
3
1
3
1
3
0
0
1
1
3
1
0
0
1
0
1
3
2
3
3
0
1
0
1
1
2
3
0
2
2
2
1
1
2
3
1
0
2
3
0
3
0
0
1
3
0
1
3
2
3
1
3
3
0
3
0
0
3
3
3
1
2
2
1
1
0
2
2
3
2
2
1
3
2
3
3
1
3
3
0
0
1
3
2
3
3
1
0
3
1
2
3
1
0
0
0
2
1
3
3
1
0
0
0
0
2
3
0
0
3
3
3
1
3
3
2
2
0
2
0
3
0
2
2
3
3
3
0
2
0
0
1
2
0
3
2
0
2
3
2
3
2
1
1
3
1
2
3
2
0
2
1
2
0
1
3
3
3
2
0
2
3
0
1
2
2
3
0
3
1
0
0
2
1
2
0
2
2
3
3
3
3
0
1
1
1
0
3
2
3
0
0
0
2
3
2
3
3
2
3
3
2
1
0
3
3
0
2
0
2
0
3
1
1
3
0
0
2
3
0
0
2
0
1
2
3
2
1
0
3
0
1
1
1
3
0
1
3
1
1
1
0
1
0
3
2
3
3
3
2
3
2
1
3
2
3
2
2
2
0
1
2
0
1
0
0
1
3
3
0
3
1
3
3
1
1
0
2
0
0
3
3
2
2
3
0
3
3
3
2
1
3
0
2
0
1
2
1
2
1
3
2
0
1
1
3
3
0
3
3
0
2
3
0
0
0
3
3
1
0
3
3
0
0
0
1
3
3
2
1
3
3
1
0
1
3
3
0
3
0
1
1
3
3
1
0
3
2
1
1
2
1
1
2
0
2
2
1
1
3
0
1
3
1
1
0
0
3
0
3
3
1
2
1
0
2
3
3
1
1
1
0
0
2
3
3
2
3
0
3
2
2
3
0
3
0
1
1
0
2
2
3
0
1
1
0
1
1
3
0
0
2
0
3
2
0
3
0
3
2
2
3
3
2
0
3
3
2
2
0
1
3
3
3
1
0
2
3
2
1
1
0
3
0
2
2
3
2
0
1
0
2
1
3
1
1
1
0
0
3
3
3
1
3
3
2
0
1
0
3
0
3
3
1
3
1
1
3
0
3
3
0
0
0
0
0
1
0
3
0
0
3
1
2
2
1
2
3
1
1
0
2
1
3
3
1
1
1
2
0
2
1
2
3
0
0
0
2
0
0
3
3
3
0
0
1
3
2
2
1
0
1
1
1
2
1
0
3
0
3
0
1
1
3
1
0
3
3
2
3
1
1
0
1
0
0
1
2
2
0
1
0
0
1
3
2
3
3
2
2
2
2
3
2
0
3
3
3
2
2
3
0
2
3
1
2
1
0
2
2
0
2
0
3
1
0
3
3
3
1
3
3
2
0
1
2
3
1
1
3
0
1
1
3
3
0
2
2
0
2
0
0
2
1
2
3
2
1
1
1
0
0
0
0
0
2
3
0
0
3
3
1
2
1
3
1
2
1
0
0
0
0
0
0
2
2
1
1
1
1
0
3
1
3
0
1
2
3
3
0
0
3
3
2
3
1
1
3
2
3
3
3
0
1
0
3
2
3
2
1
2
2
0
0
3
3
2
1
1
0
1
1
1
2
1
1
0
1
2
0
0
3
2
1
0
2
3
3
3
1
2
3
2
0
0
1
3
0
1
2
0
1
1
0
1
1
3
0
2
2
0
0
0
1
3
1
1
3
3
1
2
3
1
1
1
1
1
2
3
1
3
3
0
1
0
0
1
0
1
0
2
2
2
0
0
1
1
3
3
2
3
2
1
0
3
3
1
2
0
1
3
3
0
1
0
3
0
3
1
1
0
1
0
3
0
3
3
3
0
0
3
0
3
0
2
0
3
2
0
2
1
1
1
0
1
0
3
3
2
2
1
2
1
0
3
0
0
3
1
0
2
3
1
1
3
0
0
0
2
2
0
3
0
2
0
0
3
0
0
3
3
1
1
3
3
0
3
1
1
3
2
0
0
1
0
1
2
2
0
0
3
0
0
0
0
2
1
3
3
3
3
2
2
2
1
1
3
2
1
3
1
3
1
3
0
0
1
0
3
3
1
3
3
2
0
0
0
0
0
1
3
3
0
3
1
3
2
2
0
2
3
0
1
3
1
1
1
3
0
3
2
0
0
3
3
3
3
2
0
2
1
3
0
3
3
3
3
3
2
3
3
1
0
3
2
1
3
0
1
2
3
3
3
1
1
3
1
3
2
3
3
0
1
1
1
2
2
0
3
3
3
3
3
2
3
0
3
3
0
1
1
0
2
2
2
2
1
3
1
1
1
3
3
1
0
0
0
3
0
0
2
2
0
1
1
1
0
0
2
0
3
3
2
1
0
0
3
2
1
3
0
0
2
2
2
1
2
0
1
0
0
0
3
3
2
0
2
3
1
1
3
0
1
2
3
0
1
3
0
0
1
0
2
0
2
3
2
0
2
2
3
1
3
3
3
0
0
1
2
3
3
0
1
0
3
2
1
1
3
3
0
2
0
0
2
2
1
2
1
0
1
1
0
2
2
0
0
0
2
2
2
1
2
1
3
0
0
2
0
0
2
0
0
0
1
2
0
0
3
2
1
1
3
2
0
3
1
1
2
0
0
0
2
2
2
0
3
3
3
1
1
3
2
0
0
0
0
0
3
0
1
0
0
1
2
1
3
0
0
3
0
3
0
1
2
2
3
1
2
0
3
0
2
3
2
1
0
3
2
3
2
0
3
2
1
3
3
2
2
3
2
3
0
3
0
1
2
1
1
3
3
0
2
0
1
3
0
0
0
3
1
3
3
2
1
1
3
1
2
3
0
3
3
2
2
3
3
1
1
1
0
0
3
1
0
0
0
3
3
1
2
2
0
1
3
3
2
3
1
2
0
1
2
0
0
0
1
0
3
1
1
3
2
3
2
0
1
1
2
2
0
3
0
1
3
1
1
2
2
2
1
3
2
1
1
3
1
1
1
3
3
3
0
3
0
1
1
0
1
2
2
1
3
2
1
3
3
3
1
1
3
0
2
2
3
3
3
3
1
0
0
3
0
3
3
3
0
1
3
3
1
1
1
2
2
1
0
2
0
0
0
3
2
2
0
0
0
3
0
3
3
2
3
1
3
2
1
2
2
0
0
0
0
3
1
2
3
1
1
1
2
0
3
0
1
1
0
2
0
2
2
0
2
3
2
2
2
1
3
0
0
1
0
0
3
1
3
1
1
0
1
1
3
0
0
2
2
3
0
2
2
3
3
1
3
1
1
1
0
0
3
0
0
2
0
2
1
3
0
1
1
1
2
2
3
2
2
2
2
1
3
2
1
0
1
2
2
2
0
1
3
3
2
3
2
3
2
2
2
2
0
3
0
2
2
3
2
3
2
3
3
0
0
2
1
0
3
2
0
3
3
0
2
3
3
0
0
0
1
0
1
3
1
2
3
1
3
3
3
3
3
1
0
3
3
0
2
0
0
0
3
1
2
1
1
2
0
1
2
1
3
3
2
0
1
1
2
1
2
0
2
1
3
0
3
1
0
3
0
2
1
1
1
1
3
3
3
3
3
1
2
1
1
3
3
1
2
3
1
1
1
1
3
1
0
0
0
1
3
3
2
0
2
2
0
2
1
1
3
3
3
0
3
1
0
3
1
3
1
1
0
1
1
1
3
0
0
1
1
3
0
3
0
1
1
0
2
1
0
3
1
1
0
1
3
0
0
1
3
3
1
3
0
3
2
0
3
0
1
2
3
3
0
1
3
2
3
1
2
0
0
2
1
0
1
3
3
0
3
0
2
3
3
0
2
3
3
2
3
2
1
1
3
1
3
3
3
3
0
1
1
0
0
0
1
3
0
0
3
0
3
1
3
2
0
3
2
1
2
2
2
0
3
1
3
1
3
0
1
1
1
0
2
1
2
0
2
3
0
0
0
1
3
3
1
3
0
2
0
2
2
2
3
1
3
0
0
0
0
0
3
0
3
0
2
1
3
1
0
2
2
1
0
3
3
1
0
0
3
3
2
3
0
0
0
2
1
1
2
2
1
2
2
1
3
1
2
1
3
1
3
0
1
0
2
1
1
1
1
1
1
0
1
0
2
0
3
0
0
2
1
1
1
2
3
2
3
2
0
1
3
2
0
3
0
0
3
0
0
1
2
1
1
0
1
1
2
1
3
0
0
0
2
2
1
0
0
3
2
1
1
0
2
2
3
0
3
0
3
3
2
0
0
3
2
2
3
3
0
0
1
2
3
3
1
3
3
3
1
1
0
3
0
0
2
1
2
3
2
0
0
1
1
1
0
0
2
0
3
2
1
2
3
1
1
3
3
3
2
2
0
1
2
1
2
1
1
3
0
0
3
2
2
0
3
3
2
0
3
0
0
1
0
0
1
1
3
0
1
3
0
0
1
2
0
0
2
3
3
3
3
2
3
1
0
1
3
3
1
1
1
3
2
3
0
2
3
0
0
2
1
3
3
1
3
0
3
2
3
1
2
1
3
0
3
2
2
0
1
1
0
0
1
2
3
3
0
0
1
2
0
1
0
1
2
1
1
1
1
1
3
3
2
3
1
0
1
3
0
1
0
1
1
3
1
0
3
0
2
0
1
2
0
1
1
1
2
0
0
0
2
3
3
2
3
3
3
3
0
1
3
2
1
1
2
3
0
3
0
2
0
0
1
1
0
0
3
1
3
0
1
1
0
0
0
0
1
2
2
2
2
2
0
1
0
3
2
0
0
2
1
3
3
2
3
1
2
1
3
3
0
0
1
2
3
2
1
1
0
3
2
2
2
3
0
3
1
2
0
3
0
3
0
3
2
1
1
0
2
3
0
0
1
2
3
0
1
0
0
3
2
2
0
0
2
0
0
3
1
1
3
2
0
3
3
1
0
2
3
0
0
1
3
3
3
3
2
2
2
3
1
0
3
3
0
0
1
1
3
3
2
1
0
3
2
1
2
2
1
3
1
3
0
3
2
1
2
0
2
0
2
1
0
2
0
0
1
3
0
2
3
0
2
0
2
1
1
0
1
1
3
0
3
2
3
2
3
3
2
0
2
1
2
2
1
2
1
3
2
2
2
3
0
1
3
3
2
3
3
3
2
1
2
2
3
0
1
3
3
3
0
0
0
0
0
2
3
3
3
3
3
1
1
0
3
2
1
1
1
2
1
1
2
2
0
2
2
0
0
1
2
2
1
0
0
1
1
2
0
1
1
3
3
3
3
0
0
1
0
0
0
1
1
2
0
2
3
1
1
1
3
3
3
1
1
0
0
3
2
2
0
0
3
0
0
0
3
3
2
2
3
2
2
1
2
2
2
1
2
3
3
2
0
0
0
1
3
3
3
0
1
0
1
1
1
3
1
1
0
3
3
0
2
1
0
3
3
3
2
3
2
2
3
3
3
1
1
1
1
0
0
0
2
2
2
0
1
0
3
2
3
3
3
1
3
3
3
1
1
3
2
3
0
0
1
2
2
2
2
1
1
0
2
0
1
1
2
3
3
0
1
3
3
3
3
3
0
3
0
2
3
2
0
3
3
1
0
2
2
3
3
1
3
0
0
2
3
0
3
2
2
0
1
0
1
3
1
2
1
3
0
2
2
1
0
1
1
0
1
3
1
2
3
2
1
1
3
0
1
0
3
3
1
1
1
2
2
0
1
0
0
0
1
1
1
2
1
3
3
1
0
1
2
2
3
1
1
1
0
2
1
3
2
2
0
1
2
0
0
2
2
0
1
3
1
0
2
2
1
0
2
1
3
0
0
2
3
2
0
3
1
0
0
0
1
3
1
2
2
0
1
3
0
3
2
0
2
2
2
1
2
2
1
1
1
0
1
3
3
1
1
1
3
2
1
1
2
2
0
1
2
0
0
0
1
1
1
1
3
1
0
2
1
3
1
3
3
3
0
2
2
2
1
2
0
1
0
1
0
1
1
0
0
1
1
0
1
0
2
1
3
3
0
1
1
3
2
3
1
1
0
3
0
0
3
0
3
1
2
2
1
3
0
1
1
1
1
0
1
3
1
3
1
3
1
0
2
3
1
3
1
3
3
0
1
0
0
2
3
1
1
0
3
0
2
0
3
1
1
0
0
0
2
3
2
3
2
3
3
0
2
1
3
2
0
3
1
2
0
3
1
3
2
3
3
2
1
1
3
1
2
3
3
2
0
0
0
1
1
3
0
3
3
3
3
2
3
0
3
0
3
2
0
1
2
3
1
3
1
2
1
3
3
3
2
3
2
0
3
1
1
1
2
2
0
1
0
2
2
0
0
3
0
1
2
0
0
2
3
2
3
3
2
2
3
3
3
3
3
0
0
1
3
3
3
2
3
3
3
3
0
3
2
3
3
2
2
3
2
2
3
1
2
3
3
3
1
1
0
1
0
2
2
1
3
3
2
1
1
3
0
0
3
3
2
0
3
3
0
0
2
2
3
2
2
2
0
3
2
2
0
1
2
2
1
1
2
2
3
1
1
0
3
2
2
0
0
0
1
1
0
1
2
1
2
3
3
2
2
1
1
0
3
0
3
0
1
3
3
1
2
2
3
0
3
1
3
1
1
1
0
1
1
1
2
2
0
0
0
2
3
3
3
3
0
0
0
1
0
1
0
3
3
3
3
1
1
1
1
1
1
1
2
3
1
1
2
3
1
2
3
3
3
2
3
1
1
1
1
0
0
2
2
0
2
2
3
2
2
3
2
2
1
2
1
2
3
1
2
3
0
3
1
3
0
0
0
0
0
1
0
2
2
1
1
2
0
0
2
2
2
3
1
1
0
0
3
3
1
3
2
1
1
2
2
0
2
0
0
0
0
3
0
0
3
2
2
1
1
0
3
1
3
1
1
0
3
2
0
3
2
3
2
2
3
3
3
3
3
2
2
2
2
3
1
1
0
2
2
3
0
0
0
0
3
2
1
3
1
0
3
3
0
3
0
1
3
3
1
1
2
3
0
3
2
2
2
2
3
1
0
0
2
0
2
1
0
1
1
2
1
0
1
3
2
2
0
1
2
0
1
2
3
0
1
1
1
3
3
0
1
1
3
3
2
2
0
3
0
3
2
1
0
1
3
3
3
0
0
1
1
0
0
0
0
0
0
3
3
3
3
2
3
2
2
0
0
2
0
2
2
0
3
1
3
1
2
0
3
1
3
3
0
3
3
3
3
3
1
3
0
3
3
0
3
0
3
3
1
0
3
1
0
3
3
3
3
3
3
0
2
1
0
3
2
0
3
3
0
3
0
0
1
1
2
2
0
0
0
0
3
3
3
0
1
3
1
2
2
1
1
2
3
3
1
2
0
3
3
1
3
0
2
3
1
3
3
3
3
1
1
0
3
3
3
0
0
2
3
1
1
3
3
2
2
3
1
3
1
1
1
2
1
3
3
1
2
3
0
3
2
2
2
3
3
2
0
3
2
3
3
3
0
2
0
3
3
3
1
1
0
3
3
2
1
3
2
3
3
1
1
1
3
2
0
2
3
3
2
2
0
0
1
1
0
1
2
3
1
2
1
2
2
3
2
3
0
1
1
2
1
1
3
1
1
1
2
0
0
1
3
2
1
1
1
1
2
3
0
3
2
2
0
3
3
3
3
1
2
0
0
0
3
3
3
3
1
0
3
3
3
3
3
3
2
0
3
1
0
3
2
2
3
3
3
3
0
1
1
1
2
1
3
0
0
1
2
1
3
0
0
0
2
1
2
1
3
3
2
3
0
3
1
3
3
3
1
1
3
0
2
2
3
3
1
3
3
1
1
1
0
0
0
2
0
2
1
1
2
3
0
3
0
2
2
0
3
2
1
2
3
1
3
3
0
2
1
3
0
2
2
3
2
3
2
0
1
3
3
1
3
0
1
3
0
1
2
2
0
0
2
0
1
0
1
2
3
2
0
0
3
0
0
0
0
1
3
3
1
0
3
3
3
3
2
0
3
1
2
2
2
3
3
3
0
3
3
3
1
3
0
0
0
3
1
0
2
2
2
1
0
1
2
0
0
3
0
3
1
2
0
0
3
3
3
2
1
2
0
0
0
1
2
3
3
3
2
0
3
0
1
0
2
2
3
2
2
0
2
2
3
3
3
3
3
0
1
3
3
1
0
1
2
3
1
1
0
3
0
2
2
3
3
2
2
2
2
0
3
1
2
1
1
1
0
0
1
0
1
1
3
2
0
2
0
0
0
0
0
1
2
1
0
3
0
2
3
0
3
3
0
0
1
3
1
3
0
3
2
0
2
2
2
3
2
3
2
2
1
1
0
1
2
2
0
0
1
1
1
3
2
3
0
3
1
0
0
1
2
0
0
1
3
3
1
3
0
0
1
0
0
1
1
1
0
3
2
2
0
1
0
2
0
3
0
2
2
3
3
1
2
1
2
0
3
0
1
1
3
2
3
0
1
2
1
1
0
1
0
3
1
2
0
1
0
0
3
1
1
3
3
2
2
1
0
0
2
1
1
3
3
3
0
1
2
1
3
0
1
1
1
1
2
1
2
2
2
1
0
3
2
3
0
2
1
1
1
1
0
0
1
2
1
3
0
0
0
0
0
3
0
2
1
3
1
0
1
3
3
3
0
0
3
2
2
1
3
0
3
2
2
1
3
0
0
2
0
0
3
3
3
2
0
0
2
1
0
3
3
0
0
0
1
2
3
3
1
1
2
1
2
0
1
0
3
1
3
0
2
3
0
0
2
1
3
3
3
3
1
3
0
1
2
3
0
0
1
0
3
3
3
3
3
1
3
3
3
3
3
3
0
3
3
0
3
2
1
1
1
1
3
3
0
2
1
1
0
2
2
3
2
1
2
2
1
0
2
1
2
3
3
3
1
1
2
0
1
3
1
1
1
2
1
0
1
1
3
3
2
1
3
3
2
3
2
3
1
1
3
1
3
3
3
3
0
2
0
3
3
2
2
0
3
2
2
2
3
2
2
2
3
1
2
3
2
2
2
3
0
3
3
0
0
2
0
1
1
2
0
1
3
3
1
0
0
2
1
1
2
2
0
0
0
0
3
3
3
1
0
3
2
2
3
0
2
0
2
0
0
3
2
2
3
0
2
1
0
1
0
1
0
0
3
0
3
0
2
1
0
2
3
1
2
2
1
1
3
3
2
2
1
2
0
3
2
2
3
1
1
2
1
1
3
0
3
0
1
1
3
1
1
2
1
0
3
1
0
0
0
2
3
2
0
0
1
1
3
1
3
3
2
1
2
1
3
1
1
2
0
1
1
2
3
3
3
1
3
3
0
3
1
3
3
3
3
0
0
3
2
2
1
3
1
3
2
2
1
2
2
3
3
2
3
2
2
0
1
0
3
1
1
1
2
0
3
3
1
1
1
0
2
2
0
2
0
2
0
2
2
1
1
3
3
3
3
3
3
0
1
0
1
1
2
0
0
3
2
2
2
0
1
0
1
1
3
0
3
2
0
3
3
0
2
3
1
2
3
0
0
3
3
3
3
2
0
2
0
1
2
3
3
0
2
1
2
2
1
0
2
0
3
1
0
0
0
0
0
3
1
2
0
2
1
3
2
1
0
3
1
1
3
3
2
1
2
3
0
0
2
0
0
0
3
1
1
3
0
2
1
0
0
0
3
2
2
2
1
3
0
1
3
3
2
0
0
0
2
2
3
1
2
0
2
1
3
1
0
2
0
0
3
3
2
2
3
3
1
0
2
3
1
0
2
1
2
2
0
3
0
1
2
0
0
3
3
0
1
2
3
2
2
0
3
1
0
1
1
2
3
3
3
3
0
3
3
1
1
3
3
1
0
3
2
3
3
2
3
2
1
0
1
0
3
0
1
3
2
0
1
3
3
0
0
1
0
1
1
0
0
1
3
2
2
3
2
3
1
3
1
1
3
1
2
3
1
1
3
2
0
3
3
3
1
3
0
3
3
3
2
0
0
1
3
0
1
2
2
3
2
2
2
2
2
1
1
0
0
2
2
2
2
0
0
1
1
3
0
0
3
1
1
0
1
2
2
1
3
3
0
3
0
0
2
0
2
1
2
1
3
1
3
0
3
2
2
1
1
3
0
0
0
2
1
3
0
3
0
1
1
1
0
0
0
1
2
2
3
2
0
2
3
1
3
3
2
3
2
1
2
3
3
3
2
1
1
2
3
1
0
0
0
1
1
1
3
1
1
3
2
2
2
2
0
3
1
0
3
1
1
0
0
0
1
3
1
0
2
3
0
3
2
1
0
2
3
3
0
1
2
3
1
2
2
1
3
0
2
2
2
0
3
3
1
1
3
1
3
3
3
1
0
0
1
3
3
3
1
1
1
2
3
2
0
1
0
3
3
1
3
3
3
3
3
3
1
0
3
3
0
2
0
0
1
3
3
1
0
0
0
2
1
0
1
3
2
0
0
1
0
0
3
3
2
1
3
2
0
0
1
1
0
0
2
2
1
0
0
2
3
1
2
0
0
0
0
2
3
1
2
0
0
2
1
1
1
2
0
1
0
0
3
3
1
2
3
3
0
2
3
3
2
0
0
1
1
0
0
3
3
3
0
2
0
2
2
2
0
3
3
2
0
1
3
0
1
2
1
1
2
0
3
0
1
1
1
3
3
3
0
1
1
0
0
0
3
3
0
1
1
1
0
3
2
3
0
0
0
0
3
1
2
0
1
0
0
3
3
3
2
0
2
1
3
2
3
0
0
0
3
2
2
3
2
1
0
0
2
3
2
0
2
1
3
1
3
3
0
3
3
3
0
0
3
1
3
2
3
1
0
1
0
1
1
3
3
1
0
2
2
0
1
0
1
2
0
0
3
0
1
0
2
0
1
0
3
1
0
1
3
3
0
3
0
2
1
3
1
3
2
2
1
1
1
2
0
0
2
3
2
0
2
0
0
0
2
3
0
0
2
1
3
2
0
2
2
3
1
0
2
0
1
1
3
0
3
2
2
1
1
0
1
0
0
2
1
2
3
0
1
1
0
0
3
0
2
3
2
0
0
2
2
3
3
1
3
3
2
3
3
1
2
2
1
0
0
0
3
2
2
1
3
1
2
3
3
0
0
0
1
1
2
0
2
2
2
0
1
3
1
2
3
1
3
2
1
1
2
0
2
3
0
3
0
0
2
1
0
3
3
2
3
3
0
1
1
3
0
3
3
3
3
3
1
0
0
1
0
1
2
0
1
0
0
0
3
0
1
1
1
2
2
3
3
3
1
1
2
0
1
1
2
2
0
1
2
2
2
2
3
2
0
0
0
0
3
2
2
2
1
1
2
3
1
0
2
0
0
1
2
2
2
3
2
2
2
1
2
3
1
3
3
3
1
3
3
0
1
1
2
2
2
2
1
3
0
2
3
3
3
3
2
2
1
1
1
2
2
3
3
1
0
3
3
3
2
2
1
3
0
0
3
0
1
0
3
1
1
1
1
3
2
3
3
3
0
0
0
2
2
3
1
3
0
0
0
3
3
2
2
0
1
3
3
1
3
2
3
2
3
1
0
0
3
0
2
1
3
1
1
2
1
2
3
2
1
2
3
1
1
1
3
2
0
2
1
0
2
3
0
2
3
1
1
0
2
0
0
2
0
0
0
0
0
0
3
1
3
0
0
0
0
0
0
2
1
1
0
1
1
2
1
3
1
2
2
2
1
2
2
0
0
2
0
2
1
0
1
0
1
2
0
3
2
1
3
1
2
0
1
0
3
2
0
2
2
2
3
3
3
2
3
3
1
3
0
2
0
1
1
0
2
3
3
0
2
1
2
0
1
3
1
1
3
1
0
3
2
1
1
3
2
1
2
3
0
1
1
2
3
2
2
0
0
2
1
1
1
1
2
2
3
1
0
3
3
0
3
3
3
3
2
1
1
3
3
3
3
1
1
0
3
2
3
1
2
3
1
0
0
0
0
1
0
2
0
1
0
1
0
2
2
1
3
3
0
3
1
0
1
0
3
1
2
2
2
1
2
3
3
1
0
2
3
2
2
3
1
0
1
2
2
0
3
3
0
3
2
0
3
0
0
2
0
2
3
0
0
2
3
1
0
3
0
0
2
0
3
1
3
3
1
2
0
1
1
3
3
3
0
0
2
0
1
3
1
3
1
2
1
1
0
0
2
0
1
1
2
3
0
0
2
1
0
0
1
0
0
2
3
0
1
3
3
2
2
3
0
1
2
0
3
0
0
0
0
2
0
1
2
2
2
3
1
1
3
1
2
0
0
1
1
1
1
1
2
1
3
0
2
0
0
1
0
3
2
0
3
2
0
0
2
0
3
1
1
1
3
1
3
2
3
1
2
0
2
3
0
2
3
2
0
3
3
1
0
3
3
2
0
1
3
0
2
2
1
1
1
1
1
0
2
2
1
0
3
2
1
0
2
2
1
0
3
3
3
2
3
3
0
2
1
2
1
3
1
1
3
3
3
2
1
0
3
3
3
2
2
0
1
2
1
0
2
2
1
3
2
2
1
1
3
3
0
0
3
3
0
1
1
1
0
2
0
2
0
1
2
2
2
1
1
1
1
2
0
2
1
3
1
3
0
1
0
0
3
2
0
3
3
1
0
1
1
1
3
2
3
2
0
0
0
3
0
0
1
0
3
1
0
0
2
0
2
0
3
3
0
3
1
2
2
2
2
1
0
3
3
0
1
2
0
1
1
0
0
0
3
3
3
2
3
1
3
2
1
1
3
2
0
3
0
1
2
2
2
3
0
1
3
0
0
3
1
2
1
0
3
1
3
0
1
3
1
1
3
3
1
3
0
1
2
1
2
1
1
3
1
3
2
0
2
3
0
2
3
3
1
1
0
0
3
1
2
1
0
1
1
0
2
1
2
3
3
0
1
3
2
1
3
0
1
1
1
2
0
3
1
1
1
3
2
3
0
0
0
2
1
0
2
1
3
3
2
2
1
2
0
1
1
1
0
3
0
1
0
0
0
3
0
0
2
0
0
1
3
3
0
2
1
0
2
1
0
0
1
1
2
3
3
3
1
2
3
1
0
0
1
1
3
3
1
3
2
1
0
0
3
1
0
1
3
0
0
3
2
3
2
2
0
3
1
3
3
0
1
0
1
2
0
3
0
1
3
1
0
3
3
1
2
0
2
3
0
2
3
1
1
1
1
1
3
3
2
0
3
2
0
1
3
0
3
3
1
0
0
3
3
1
2
0
3
0
0
3
3
3
1
0
3
2
2
3
3
1
0
0
0
0
1
1
3
2
2
3
2
3
1
3
0
2
3
3
0
2
0
2
3
3
3
1
3
3
1
0
3
0
2
1
3
1
2
2
0
1
2
1
0
3
2
2
3
0
2
1
2
0
1
3
1
2
3
1
2
0
3
1
1
3
3
1
0
0
1
3
3
0
3
0
1
1
2
3
1
0
1
0
0
2
3
2
3
2
3
0
0
0
3
3
0
1
0
0
3
0
3
2
2
0
3
3
1
1
1
0
2
3
1
2
2
0
0
3
1
0
2
3
0
3
2
1
0
3
1
3
3
3
1
3
3
0
2
3
0
0
1
2
2
0
3
0
2
1
1
2
1
3
1
3
0
0
1
0
0
1
3
1
1
0
3
1
3
3
2
3
0
0
3
0
0
2
3
1
1
0
1
0
3
0
0
2
1
2
1
2
1
2
1
3
2
2
3
1
3
3
1
2
2
0
0
0
2
1
3
0
3
2
3
3
3
3
1
1
1
1
2
1
1
3
1
1
0
0
1
2
1
1
1
0
3
1
0
2
1
3
3
2
3
3
3
1
1
1
1
1
3
3
3
0
3
2
3
1
2
3
0
1
1
0
0
3
0
3
0
2
2
2
2
0
3
0
3
1
3
3
3
2
1
2
0
2
3
0
1
0
2
2
3
3
2
2
2
1
0
0
2
1
3
3
3
0
0
1
2
1
0
3
2
2
3
3
0
2
3
2
3
3
0
2
0
2
3
1
1
0
1
1
1
0
2
3
3
3
3
3
3
3
3
3
3
0
1
3
0
3
2
1
0
1
0
1
1
0
3
0
0
1
0
3
3
0
1
0
3
3
1
3
1
0
3
3
1
1
3
0
0
2
3
1
2
0
1
1
2
0
1
1
0
3
2
3
3
0
2
0
2
1
1
3
1
1
3
2
3
0
0
0
3
3
3
1
0
1
2
1
2
2
0
0
3
0
0
0
0
2
2
3
0
3
2
2
2
3
3
2
0
0
1
2
0
1
2
3
3
3
0
1
2
0
3
3
3
0
0
3
0
3
1
2
1
1
2
2
3
3
0
3
0
3
0
1
0
0
1
2
3
1
1
0
1
0
0
1
2
2
3
1
0
0
0
0
0
0
1
2
3
0
3
0
3
2
2
3
2
0
2
2
2
3
2
3
3
1
2
1
1
2
3
2
0
1
1
1
3
3
0
1
1
0
3
3
3
1
3
2
1
3
3
3
3
2
0
0
0
2
1
1
3
0
0
0
2
0
0
1
1
0
3
3
3
2
2
0
1
1
3
3
2
1
1
2
0
3
3
1
2
2
3
2
1
1
0
3
1
1
1
2
1
3
0
2
0
0
3
1
3
1
0
0
2
0
2
0
2
1
0
3
3
2
1
3
1
3
1
2
1
3
3
2
1
3
0
3
1
1
1
0
2
0
2
3
3
2
2
0
0
0
1
3
0
1
2
2
3
3
0
1
0
0
2
2
3
3
3
0
3
1
3
0
2
2
3
3
0
0
0
1
1
0
0
1
1
3
0
1
3
3
0
1
1
0
3
0
0
1
2
2
3
0
3
0
0
0
1
1
0
2
3
1
1
2
3
1
0
2
3
0
1
3
0
2
0
2
3
0
2
2
0
3
1
1
3
3
3
1
0
2
3
2
2
1
1
3
3
0
2
2
2
0
1
2
3
2
0
3
2
3
3
2
0
3
2
1
0
2
3
1
0
0
2
1
3
3
3
1
0
0
1
0
2
0
2
1
2
0
2
0
2
1
2
2
3
1
2
1
3
0
3
0
3
1
3
3
0
0
3
3
2
0
0
2
2
0
0
0
0
1
2
2
1
2
0
0
0
2
0
2
2
0
1
0
0
0
2
2
3
2
0
1
0
2
0
0
2
2
3
0
3
0
1
0
0
2
2
2
1
3
2
3
1
1
1
3
1
2
0
2
1
2
3
2
1
0
1
3
2
3
0
3
3
3
3
3
2
2
0
3
2
2
3
2
1
0
0
2
2
1
3
3
2
0
1
1
3
3
1
0
1
2
3
0
3
2
2
0
3
0
3
0
0
1
0
3
0
1
1
2
1
0
1
3
2
0
1
3
1
2
0
2
3
2
1
1
3
2
3
3
3
3
3
2
2
2
0
2
0
3
0
1
2
3
2
1
1
3
0
0
3
3
3
1
1
2
0
2
0
3
0
2
0
0
0
0
3
3
3
1
3
3
1
3
3
1
3
2
1
3
3
0
0
1
0
3
1
0
2
3
3
1
2
3
2
1
1
2
2
0
1
1
2
3
2
1
1
0
2
3
3
1
0
1
3
2
2
1
0
0
0
2
2
0
2
3
0
3
1
2
1
3
3
3
2
2
0
2
1
3
0
3
3
2
3
3
2
2
3
3
3
1
3
3
1
2
0
3
1
3
0
3
0
3
3
2
3
2
0
0
3
3
1
1
3
1
1
3
2
2
1
1
3
0
0
0
3
3
0
1
1
3
2
3
3
0
2
1
1
0
1
1
2
3
3
1
3
2
1
1
0
0
3
0
0
0
1
3
0
3
3
1
3
2
2
0
3
2
2
1
1
0
1
2
3
0
2
2
3
0
1
2
1
0
1
0
2
1
0
1
3
0
0
1
3
3
0
3
3
0
0
2
1
3
1
0
1
0
0
3
1
2
1
2
2
3
1
3
2
2
3
2
1
0
1
0
2
2
1
0
2
1
2
1
2
2
1
2
2
3
2
1
1
3
1
2
3
2
1
1
2
2
2
0
3
3
2
2
1
3
3
0
0
2
3
3
3
2
0
3
0
2
1
3
3
2
2
1
0
3
3
1
1
3
2
0
3
0
2
1
0
0
0
3
0
3
3
3
1
3
3
3
1
1
1
1
1
2
2
1
0
0
2
1
3
3
3
1
2
3
2
2
0
2
2
3
3
3
0
0
3
2
1
1
1
0
1
1
3
3
3
3
3
0
1
1
1
1
0
1
3
1
3
1
3
3
0
1
3
1
1
3
0
3
0
1
0
3
3
3
3
2
1
3
0
3
2
0
1
1
0
1
3
0
2
1
0
1
1
3
1
2
2
1
2
1
2
0
0
0
2
2
0
2
0
1
2
1
0
0
2
3
2
3
3
1
1
0
1
3
0
2
0
0
1
2
3
0
2
0
2
2
0
3
0
2
3
3
3
2
2
1
0
2
2
2
2
2
3
3
0
1
3
3
3
1
0
1
1
3
1
2
1
3
3
2
0
0
1
0
0
1
1
3
0
3
2
0
0
0
0
2
2
2
1
3
3
2
1
1
2
3
0
3
2
2
3
3
3
2
2
0
1
1
1
3
3
3
3
0
3
0
0
0
0
1
3
2
1
3
2
0
1
1
0
3
3
3
3
1
2
3
0
2
3
0
0
1
0
0
0
2
0
0
1
3
0
1
0
3
0
1
1
0
3
2
0
0
3
1
2
3
3
0
2
3
3
2
3
1
0
3
0
3
1
3
2
3
2
2
2
3
2
3
3
2
2
2
0
2
3
0
0
1
3
3
2
1
2
2
2
2
3
3
2
1
3
2
2
3
3
1
0
0
3
2
2
0
1
3
0
0
3
1
2
3
3
1
0
1
3
2
1
3
2
3
0
0
0
3
2
0
2
1
3
0
3
1
1
2
1
2
1
2
3
0
0
2
3
0
3
0
2
2
2
2
1
0
2
1
2
2
1
0
0
3
2
3
2
1
3
3
0
0
1
1
2
3
2
2
1
3
0
0
2
0
1
3
3
1
0
0
3
0
0
0
3
2
3
0
1
1
3
3
1
3
0
3
1
1
2
0
1
2
0
0
3
2
1
3
3
1
3
3
0
3
1
2
2
0
3
1
0
1
2
1
1
1
2
2
1
0
0
2
0
1
3
2
0
0
2
2
0
3
1
1
2
3
3
3
3
1
3
3
2
3
2
2
1
1
3
3
1
2
1
0
2
3
0
0
3
1
3
2
1
2
0
0
0
3
3
1
1
3
3
3
1
0
2
1
0
1
3
2
0
3
3
1
3
3
1
1
0
3
2
2
1
2
3
3
3
2
2
1
0
1
0
0
3
1
2
1
1
2
3
2
0
0
3
1
0
0
3
0
3
0
0
0
0
3
3
2
3
2
0
0
2
2
1
3
3
1
3
3
1
1
1
2
1
0
1
3
3
0
0
3
2
2
0
1
3
2
2
0
1
3
1
0
0
0
2
0
0
2
2
0
3
3
1
0
0
0
0
3
3
3
2
0
1
2
0
0
0
3
1
3
1
1
3
0
0
1
1
1
2
3
3
3
0
2
2
0
3
0
3
2
1
3
0
3
3
3
2
3
2
3
3
3
0
0
1
3
1
1
1
3
1
1
1
1
1
3
2
2
3
3
3
1
1
3
2
3
1
3
1
3
0
3
0
3
2
1
0
0
0
1
1
0
3
1
2
3
2
3
0
2
2
0
2
0
3
2
3
0
0
1
3
0
0
1
0
0
0
3
0
2
1
3
3
3
0
2
0
1
0
2
0
1
3
0
0
3
3
3
1
3
1
0
1
2
2
2
0
3
1
3
2
0
3
3
3
0
3
0
0
1
3
2
3
2
3
1
2
2
3
1
3
1
0
0
2
1
2
2
0
0
0
3
2
3
3
0
1
1
3
3
0
1
1
1
0
0
1
1
0
0
2
0
3
1
1
1
0
3
0
2
1
1
3
2
1
1
3
0
2
1
3
0
0
0
0
3
0
0
3
0
1
1
1
1
1
1
2
0
3
3
3
2
3
0
0
0
2
1
2
2
3
2
2
0
1
1
3
3
1
1
3
0
1
3
2
3
0
1
0
0
2
2
1
3
1
2
2
2
1
2
3
0
0
1
3
3
0
2
3
0
0
2
3
3
2
1
0
1
1
1
2
2
0
2
1
0
3
1
0
0
2
0
3
2
3
2
0
3
0
2
0
0
1
2
2
2
3
0
0
3
3
2
1
2
2
2
2
3
1
0
1
1
1
3
2
3
2
0
0
0
3
3
1
2
1
3
0
3
3
0
0
3
1
1
3
3
2
0
1
2
0
1
3
3
2
1
1
2
1
1
1
1
2
1
2
2
3
2
1
1
1
1
3
2
3
2
3
1
3
2
3
2
3
2
1
3
3
0
1
1
1
3
1
1
1
1
0
3
3
1
0
3
1
3
3
3
3
3
0
1
0
3
0
3
3
1
1
3
2
2
2
2
0
3
3
3
3
0
3
1
0
1
3
2
0
3
2
3
0
2
3
1
3
3
0
3
0
1
3
3
3
2
2
0
3
3
0
3
0
2
0
0
2
0
3
0
0
1
0
1
0
2
1
3
2
2
0
2
3
1
1
3
3
0
2
2
2
0
3
2
3
1
1
1
1
3
1
1
3
3
1
2
3
0
1
0
0
3
2
2
1
1
1
1
3
3
2
2
2
3
0
0
2
2
1
0
1
3
0
3
3
2
3
2
3
3
1
0
1
2
3
3
1
2
3
0
2
1
1
2
0
2
2
3
3
2
3
3
0
3
1
3
3
0
0
0
0
2
3
1
0
0
2
3
1
3
2
3
1
3
1
2
2
2
1
3
0
1
1
1
0
2
2
3
0
1
2
3
3
0
0
2
3
1
1
1
1
3
2
2
0
2
0
3
3
2
1
3
0
1
2
3
1
0
1
0
3
0
2
0
2
0
2
0
3
1
1
1
2
3
3
2
0
1
1
0
2
2
0
2
2
2
2
2
2
2
2
2
2
1
1
1
3
0
2
0
1
0
0
2
2
2
1
1
0
2
0
0
3
3
0
1
0
0
1
3
2
3
0
2
2
0
2
1
3
2
2
1
0
0
3
0
0
2
3
3
1
2
1
3
0
0
3
3
0
3
0
1
3
3
2
3
1
3
3
0
2
2
1
1
2
3
3
0
0
0
3
3
0
0
1
1
0
0
2
1
0
3
0
3
0
1
3
3
0
2
1
1
3
3
3
1
3
3
0
3
0
2
2
1
2
2
3
2
2
1
1
0
3
1
1
2
0
2
1
3
0
1
2
1
0
2
3
0
0
1
0
2
2
0
1
2
3
3
2
2
0
3
3
3
2
3
3
2
3
1
3
0
0
1
0
3
1
3
0
0
0
3
2
1
2
3
3
1
1
1
3
3
3
3
1
3
0
2
0
2
3
0
0
0
2
3
2
1
1
1
0
2
3
2
1
2
1
1
1
0
3
3
0
1
3
3
3
2
0
0
1
1
0
0
1
3
3
2
3
2
3
1
3
3
3
2
2
3
3
1
0
3
3
1
1
0
1
1
1
0
3
3
0
0
0
0
2
1
1
2
2
0
2
1
1
1
2
3
3
1
2
3
1
3
1
1
3
0
0
0
2
1
3
1
1
3
3
0
1
1
2
2
2
3
0
3
3
0
2
0
3
1
1
3
1
2
2
0
1
0
2
3
1
3
1
2
1
1
1
2
1
2
3
0
0
1
3
0
0
0
3
3
3
1
1
1
1
0
1
1
2
2
1
1
3
1
1
0
1
2
1
3
1
2
1
0
0
1
2
2
1
1
2
0
0
0
3
1
3
1
2
2
3
1
1
3
0
0
3
3
1
3
0
0
1
2
1
3
2
2
1
2
1
1
1
2
0
1
3
3
0
2
3
3
3
1
0
2
1
3
3
2
3
3
0
3
2
0
3
0
3
0
1
1
0
1
1
3
3
1
1
1
2
1
1
3
2
1
3
1
0
1
1
0
2
0
3
3
1
0
0
3
1
0
2
0
1
3
3
3
3
3
2
0
3
2
3
1
0
2
2
2
3
2
1
2
2
2
1
3
0
2
2
0
3
1
0
2
0
1
1
1
3
1
3
2
3
3
1
3
3
3
3
1
2
2
2
3
3
3
1
3
2
2
3
3
1
0
2
0
1
3
3
0
0
0
1
1
0
0
3
2
2
1
0
3
3
0
1
1
0
3
1
2
2
0
0
3
0
2
3
1
3
0
0
1
2
0
2
2
3
0
1
2
3
2
2
1
0
3
3
2
3
1
1
2
3
2
2
3
2
3
1
1
0
1
3
3
3
2
3
3
2
0
1
1
3
3
3
0
3
0
3
3
1
2
2
2
0
0
3
3
2
0
1
1
1
2
2
3
3
0
3
3
2
3
0
1
3
2
2
2
2
1
0
1
2
0
0
3
3
3
2
3
1
2
2
2
3
2
1
1
3
0
3
0
3
1
0
3
2
0
0
2
1
1
2
3
1
0
1
0
3
3
0
0
3
3
1
0
1
3
0
1
1
0
1
1
1
1
1
0
0
2
1
3
0
1
2
0
0
3
2
0
2
0
3
1
3
3
0
2
2
3
3
3
3
2
3
1
1
1
1
0
0
1
1
2
2
0
2
0
2
3
0
3
0
0
3
3
1
3
1
2
2
1
3
3
1
1
3
0
0
2
3
3
3
1
1
2
1
0
0
0
0
0
1
2
2
2
2
2
0
2
1
3
0
2
2
1
1
2
0
0
0
3
1
3
1
3
3
0
3
1
0
2
0
0
3
0
0
1
1
0
0
3
2
0
3
2
0
0
0
2
0
2
2
1
3
3
0
2
0
3
0
1
0
1
0
2
0
2
3
0
2
0
3
2
1
1
3
2
0
0
0
0
0
2
3
3
3
0
0
0
3
3
1
0
3
1
2
0
0
1
3
2
0
1
0
1
0
1
0
2
0
0
3
3
0
0
2
3
0
1
2
0
1
0
1
0
2
0
2
2
0
2
2
1
2
1
0
2
3
3
1
2
2
1
1
1
3
2
2
0
0
1
0
2
3
1
1
0
3
3
3
1
0
0
2
3
2
0
3
3
2
2
0
1
1
3
2
1
0
1
2
1
3
0
3
3
3
3
0
0
2
3
3
0
2
2
0
2
1
0
3
1
1
3
0
1
3
3
0
3
0
3
2
2
1
1
1
1
3
1
3
1
1
0
2
1
0
2
1
0
1
2
3
2
2
0
1
2
2
3
3
2
0
1
3
3
3
2
3
3
0
1
0
1
1
1
3
1
2
3
3
2
1
2
3
0
0
1
0
3
2
0
3
3
3
1
2
1
1
3
2
3
0
2
3
3
0
0
1
3
2
3
0
1
1
2
3
0
3
1
2
0
1
0
0
2
1
2
3
0
0
1
3
3
0
0
2
3
1
3
1
3
2
3
1
1
1
3
0
2
1
0
0
1
0
0
0
1
1
1
0
1
1
3
3
2
2
3
1
1
3
2
0
1
3
2
1
2
0
2
2
2
1
0
0
1
3
2
0
2
2
1
3
2
3
2
1
0
1
1
1
0
1
1
2
0
1
2
0
1
1
1
3
1
1
3
0
0
1
2
0
1
2
2
2
2
2
3
3
1
1
2
3
0
3
2
1
0
3
1
3
0
0
3
0
3
0
3
3
0
1
1
2
3
1
0
1
1
1
1
2
0
3
0
1
0
3
1
3
2
3
3
0
3
2
1
0
1
1
0
2
1
1
1
0
3
2
2
1
1
3
1
2
0
0
2
1
0
1
0
3
3
3
0
1
2
2
2
1
3
0
2
1
3
2
2
0
3
3
2
0
3
0
2
1
3
2
3
3
0
1
3
0
3
2
1
3
2
2
2
2
1
2
0
3
0
1
0
2
2
1
0
0
1
3
0
0
3
3
0
0
0
1
2
3
3
1
0
2
0
3
1
3
3
1
2
1
3
3
0
0
2
2
2
2
1
3
3
0
0
0
2
0
3
1
0
2
2
3
2
3
2
0
2
1
2
0
0
2
2
2
1
0
2
3
1
0
1
1
3
1
1
1
1
3
1
2
1
1
3
3
1
0
3
3
3
3
3
0
1
2
3
3
3
3
3
1
1
0
2
2
0
0
1
0
0
2
1
3
3
1
1
3
2
1
3
1
1
0
0
3
3
0
2
0
3
1
0
0
3
1
3
0
1
2
3
1
3
3
3
1
1
0
2
1
3
1
1
1
2
2
1
1
0
0
0
1
2
3
2
0
0
2
0
2
1
0
0
0
2
1
3
1
0
1
1
1
1
3
0
2
2
0
0
1
0
2
3
1
3
3
0
2
2
3
3
2
1
3
3
0
0
3
0
2
3
3
0
2
0
3
2
2
1
2
2
3
3
3
1
1
3
3
0
2
2
1
3
0
3
1
2
2
3
3
3
2
3
3
1
1
1
0
2
2
2
2
2
1
1
3
3
0
0
1
0
0
0
2
1
3
0
2
2
0
0
0
1
1
0
2
2
1
0
2
0
2
3
0
3
3
1
2
1
1
0
1
3
0
0
3
2
3
3
3
0
1
0
3
1
2
0
1
3
2
2
1
3
3
0
3
3
0
1
2
1
3
3
2
3
1
1
3
2
3
3
3
3
3
0
1
3
2
2
2
1
0
3
1
1
0
0
0
0
2
2
3
0
3
3
1
0
2
2
1
0
3
3
2
2
2
2
3
3
0
2
3
0
0
0
2
1
3
0
0
1
0
0
1
3
2
1
1
3
3
3
3
0
3
3
2
2
1
0
3
0
0
2
1
2
0
1
0
1
0
1
3
2
2
1
2
0
0
0
1
0
3
3
1
3
1
0
2
0
3
3
0
0
3
2
3
2
1
1
0
0
3
3
3
0
0
2
1
0
0
1
1
1
3
0
0
1
3
3
3
2
0
1
1
2
0
2
0
2
1
1
0
3
3
2
1
3
3
2
2
0
1
1
1
3
1
2
2
1
3
0
1
2
0
3
2
0
3
3
0
2
0
0
0
0
0
1
3
1
3
0
1
2
0
1
1
0
3
3
2
1
3
0
0
3
2
2
2
1
3
3
0
3
3
0
0
2
3
2
0
3
3
1
0
3
1
3
0
1
3
3
1
3
2
3
1
1
3
1
1
3
0
2
2
2
0
0
3
1
0
1
3
3
3
1
3
3
2
2
0
2
3
1
3
3
0
3
0
3
3
1
1
1
2
1
0
1
1
3
3
1
0
1
1
0
0
0
0
1
2
3
0
2
0
3
0
3
1
3
2
0
2
3
1
3
1
1
0
0
0
0
1
1
2
2
3
3
1
3
2
2
0
0
2
0
1
0
3
3
2
2
2
3
3
1
3
1
3
1
1
3
3
2
3
2
3
3
0
1
2
1
3
2
3
3
3
3
2
3
3
2
2
2
3
0
2
1
0
1
3
1
2
0
0
3
1
3
2
3
0
3
3
3
2
1
1
3
3
3
3
3
1
3
0
1
2
3
2
0
0
0
0
2
0
2
1
2
2
0
0
2
0
1
3
1
2
3
1
2
1
3
2
1
0
1
2
1
0
2
0
1
3
1
2
3
3
3
0
1
2
0
1
1
3
0
3
3
0
0
0
1
2
2
0
3
1
3
1
3
3
0
3
1
0
0
3
2
0
0
2
1
3
1
2
3
3
2
1
1
0
0
3
0
1
1
2
2
2
2
2
3
1
3
0
3
0
3
3
0
1
2
0
3
0
1
1
3
2
0
2
2
3
3
0
2
2
1
3
3
0
3
1
0
3
1
3
2
3
3
0
1
0
2
3
0
2
2
0
2
1
3
0
1
0
0
2
3
3
0
0
1
1
0
0
3
3
3
1
3
3
3
2
1
1
3
1
0
0
1
0
3
0
2
0
3
1
2
0
0
1
2
2
0
1
2
0
3
1
1
3
3
3
0
0
0
2
2
2
3
3
0
3
0
1
3
0
2
0
2
1
0
3
1
1
1
1
0
1
1
0
0
1
1
2
0
0
3
3
3
1
2
3
1
3
0
0
3
3
3
3
1
1
3
0
0
3
0
1
1
3
2
1
2
2
3
3
1
0
2
3
3
3
3
3
0
1
1
1
2
3
0
0
0
0
3
1
3
3
1
3
2
0
1
0
0
3
3
0
2
2
0
3
3
0
3
3
3
1
0
1
2
1
1
2
1
0
3
2
1
1
2
2
0
1
3
2
0
0
2
1
1
3
2
1
2
2
3
0
0
3
0
3
3
1
1
3
0
3
1
0
2
0
3
3
2
3
1
1
1
2
0
2
3
0
2
3
2
0
0
0
3
1
0
2
2
1
1
3
3
1
1
1
0
0
0
3
3
0
2
1
3
3
0
1
3
3
0
0
0
2
3
0
3
2
2
0
2
0
0
3
0
2
2
3
3
3
0
0
0
2
1
0
0
1
1
1
3
3
1
3
0
3
3
0
0
0
3
1
0
3
0
2
0
1
1
1
3
3
1
3
3
0
3
2
3
2
3
2
1
1
0
0
3
1
3
1
0
0
1
3
3
3
3
1
1
2
3
3
0
1
2
1
1
3
2
0
1
1
2
3
3
0
1
1
2
3
3
3
3
0
0
0
0
1
1
0
0
1
1
3
1
3
0
3
3
2
0
1
0
1
2
1
3
3
3
0
2
2
0
1
0
3
1
2
3
1
1
3
1
0
1
3
1
0
1
0
0
3
3
2
3
3
1
2
3
0
2
1
2
0
0
0
2
3
2
1
2
3
2
1
0
0
0
1
2
3
1
2
0
0
3
2
0
2
1
3
1
1
0
1
0
0
1
1
0
0
0
1
2
1
0
0
2
0
0
1
2
1
3
0
3
2
2
1
0
1
1
2
2
1
1
1
0
2
0
2
2
0
0
2
2
3
3
3
0
3
0
1
2
3
3
1
2
0
3
3
3
3
0
1
3
1
3
2
1
0
2
2
3
3
2
0
2
2
2
3
2
0
2
2
2
1
2
3
3
0
2
1
3
1
2
3
1
3
0
2
1
3
1
0
2
0
0
3
2
1
0
3
3
1
1
1
3
2
2
3
0
2
0
1
2
2
0
3
1
1
2
2
3
1
2
3
3
3
3
1
3
3
1
0
2
3
3
3
1
0
3
0
3
3
1
1
0
0
0
1
1
0
1
1
2
1
1
3
2
0
0
0
3
0
3
0
1
2
1
2
1
3
0
0
2
3
1
0
3
2
3
0
0
3
0
3
0
0
0
0
3
0
1
0
3
0
2
3
0
3
3
1
1
3
1
1
3
2
3
0
1
0
2
2
0
1
1
3
0
0
3
0
0
1
0
3
2
0
1
3
1
2
3
3
0
0
0
1
3
1
0
2
3
0
3
0
0
3
0
1
0
0
2
0
1
0
0
0
1
1
0
3
3
3
1
2
1
2
0
2
2
1
0
3
2
2
3
2
2
2
1
1
0
0
1
3
1
0
2
3
2
1
1
3
1
3
3
1
3
0
2
0
3
1
3
3
0
1
1
2
1
2
1
2
2
2
3
0
0
0
0
2
1
3
0
1
0
1
3
3
1
0
1
1
1
0
3
1
3
1
1
0
0
2
2
3
3
1
0
0
2
2
2
3
3
1
1
2
3
0
0
1
0
1
1
3
0
0
0
2
2
1
3
0
0
1
0
0
3
3
1
0
0
0
2
2
1
3
0
2
3
0
0
3
1
2
0
1
3
0
0
3
3
3
0
1
3
1
2
3
2
3
2
0
2
3
1
1
3
0
1
3
2
0
2
3
0
2
2
2
0
3
3
2
2
0
2
2
1
2
2
0
2
3
3
0
0
0
0
3
3
1
1
3
2
2
2
1
2
0
1
1
3
2
3
3
2
2
3
2
1
3
3
3
3
2
3
2
0
0
0
2
1
0
0
3
3
3
0
0
1
1
1
1
2
3
0
3
1
1
0
2
3
0
0
2
2
0
3
3
1
3
2
3
3
0
1
3
2
1
1
1
0
0
2
3
3
3
3
3
3
1
0
0
0
3
1
2
1
2
2
3
3
3
1
0
2
2
0
0
0
1
1
1
3
0
0
1
1
2
2
2
1
3
3
3
2
2
3
1
1
0
3
0
2
1
0
0
2
2
0
1
1
2
3
0
1
0
3
1
0
2
2
2
0
0
3
0
2
2
2
3
1
2
0
1
1
3
2
0
0
1
0
0
2
0
3
3
0
3
0
1
3
1
1
1
3
2
1
3
3
0
2
3
1
1
3
3
0
0
3
3
0
3
2
1
1
0
1
0
3
0
1
1
1
0
1
2
2
1
1
1
1
0
0
0
0
3
3
0
0
3
3
2
1
0
1
3
0
2
1
1
0
1
2
3
3
1
0
2
2
1
3
3
0
1
2
2
2
3
2
1
3
3
2
3
2
3
3
0
1
1
3
3
2
1
3
1
1
0
0
2
3
1
3
1
2
3
0
3
3
3
3
0
0
3
0
1
0
1
1
1
0
1
2
2
3
3
1
2
2
2
3
3
2
2
0
2
0
0
0
2
1
3
1
2
1
1
3
0
2
3
3
3
2
3
3
1
2
0
0
3
0
2
0
2
3
0
0
1
0
0
0
1
1
0
2
1
3
3
2
2
1
0
1
1
0
0
3
2
1
3
2
2
2
2
1
3
2
2
0
0
3
0
0
2
3
3
2
2
3
0
1
3
0
0
1
0
2
2
1
0
2
3
3
0
0
3
1
1
3
1
3
1
1
0
1
0
2
3
3
3
2
0
3
3
3
3
3
0
1
2
3
3
2
1
2
2
2
2
2
3
0
0
0
1
3
3
3
2
0
1
1
1
3
3
3
2
3
1
3
3
1
0
2
3
1
3
2
2
3
2
1
1
2
0
0
0
0
0
2
3
2
2
0
0
3
1
3
1
1
1
3
0
1
2
2
1
0
3
1
0
0
0
1
0
0
1
1
3
3
3
3
3
3
3
1
1
0
2
3
3
0
2
0
2
3
2
0
0
1
1
0
1
3
1
3
3
3
3
0
0
0
2
3
0
0
1
1
1
1
1
2
3
3
3
0
3
1
2
2
2
1
0
3
1
2
0
2
3
1
2
2
3
1
3
1
1
3
3
1
0
0
0
2
3
1
0
2
3
2
1
1
0
1
2
0
3
0
3
0
3
2
1
1
1
2
1
0
0
3
1
3
0
0
1
3
2
2
0
3
3
2
0
3
0
2
0
3
0
0
1
2
2
2
0
0
0
3
2
0
1
3
1
1
2
1
1
3
0
2
1
1
1
2
0
2
2
1
2
0
2
2
1
3
1
1
3
1
3
3
1
0
1
0
3
2
3
3
0
3
2
0
0
3
3
3
1
1
0
2
1
3
3
3
3
1
2
3
0
0
1
1
0
2
0
2
2
2
2
3
2
3
1
3
1
2
0
2
0
1
1
1
0
1
1
2
2
3
0
0
0
3
3
0
2
3
3
0
3
3
2
2
0
0
2
3
0
3
3
0
1
3
1
0
2
3
2
3
1
1
3
2
1
3
0
0
0
1
2
1
3
1
1
1
2
1
1
0
3
1
3
3
1
3
2
1
1
0
3
2
2
3
0
3
0
1
1
1
1
1
0
3
1
2
1
0
2
3
3
1
3
3
3
1
0
0
0
2
2
0
0
0
2
3
0
2
0
0
3
0
1
1
2
1
1
0
0
0
3
3
3
3
2
3
0
2
0
2
0
1
3
3
3
0
2
3
1
3
3
0
2
3
3
3
3
0
1
2
1
0
1
1
2
2
3
3
3
3
0
0
3
0
2
1
0
2
3
0
2
0
3
1
2
2
1
2
2
3
0
3
0
2
1
0
3
2
0
0
3
2
1
2
0
0
3
1
2
1
1
0
0
3
3
1
3
0
0
3
3
2
1
1
3
2
0
1
2
0
2
3
0
3
1
3
3
2
3
0
3
0
2
0
1
1
3
0
2
1
2
3
3
3
0
0
0
1
2
0
1
2
0
3
3
2
3
1
1
2
2
1
0
3
0
0
0
3
3
3
1
0
2
0
3
2
0
2
1
0
3
1
0
2
2
2
1
2
2
2
2
0
0
1
2
1
2
3
0
3
2
1
3
2
3
0
1
3
0
0
3
1
2
3
1
0
0
2
0
3
3
3
3
1
2
1
1
3
1
3
2
1
0
3
0
3
0
1
2
3
3
0
1
0
0
0
3
2
1
2
0
2
2
2
2
0
3
1
0
3
3
0
0
2
1
3
0
3
2
1
2
2
1
2
1
1
0
0
3
2
1
0
3
3
0
3
3
2
2
0
0
1
3
3
3
3
3
0
0
3
2
3
0
3
3
3
3
0
1
2
2
3
3
3
0
3
3
2
1
3
0
0
2
2
0
3
3
0
1
1
1
1
3
3
0
3
2
0
2
3
1
3
3
0
2
2
3
3
2
0
0
2
0
1
2
1
2
3
1
2
1
2
0
1
1
3
2
2
1
2
2
0
3
3
1
3
0
0
1
1
1
1
3
1
0
3
3
0
0
1
0
2
2
0
3
1
1
3
0
1
3
2
2
2
3
1
0
1
3
3
1
1
3
3
2
3
1
2
1
2
2
0
1
0
3
2
0
3
2
1
1
1
3
2
2
1
0
1
2
2
3
1
0
1
0
3
0
3
3
3
3
1
0
2
3
1
2
0
0
0
0
2
1
1
1
0
3
2
1
2
3
3
3
0
0
2
1
1
2
2
2
0
0
3
0
0
0
0
3
3
3
2
2
0
3
1
0
3
0
1
0
0
0
1
2
2
1
3
0
1
3
2
0
0
2
0
3
3
1
1
3
1
2
0
2
2
2
3
1
3
1
1
2
0
0
1
1
2
2
1
2
1
0
3
2
3
1
1
0
0
0
0
1
3
2
0
3
0
2
2
1
3
2
1
1
1
2
3
2
3
3
3
3
0
2
2
0
3
3
3
3
1
0
3
3
3
3
1
0
3
2
2
2
2
0
3
3
3
0
0
1
3
0
1
0
1
1
0
2
0
0
2
1
1
2
0
2
2
0
0
2
0
3
1
3
3
2
3
2
3
3
3
1
2
3
0
1
2
1
3
2
2
3
2
0
1
0
0
2
2
2
0
0
0
0
0
0
0
0
3
2
0
0
0
3
3
3
2
2
3
1
0
1
3
3
1
0
3
1
0
2
0
3
3
3
0
1
3
3
3
3
1
2
3
2
3
1
2
3
1
3
2
2
1
1
0
1
2
3
1
3
2
2
3
2
3
2
1
1
1
0
3
3
2
2
1
1
0
1
1
2
2
0
0
0
0
3
0
3
1
1
3
2
0
1
0
3
0
3
0
1
2
0
3
1
0
1
3
1
1
3
2
3
3
0
1
3
2
0
0
3
0
3
0
3
3
0
2
1
0
3
3
1
0
3
0
2
2
2
3
3
0
2
1
1
0
3
0
1
2
2
2
3
3
0
2
1
2
2
2
2
1
3
1
2
2
2
2
3
3
2
2
2
3
1
3
0
2
0
3
0
3
0
3
0
1
1
2
1
1
3
1
0
1
1
2
3
0
1
1
3
0
2
2
0
0
0
2
1
0
3
0
0
0
0
0
1
2
1
0
0
0
1
0
0
0
2
3
0
3
1
0
0
1
1
1
3
0
2
2
3
0
3
2
3
0
1
0
0
3
1
0
0
1
2
3
3
0
2
1
0
2
1
1
0
3
0
3
3
3
3
0
3
1
3
1
1
1
3
1
0
0
2
3
2
1
0
1
2
1
0
0
1
1
0
3
1
2
3
3
0
1
1
3
3
1
0
3
2
3
3
2
2
3
0
1
3
1
1
3
3
0
0
3
2
1
1
0
1
3
0
1
1
1
1
3
2
0
3
3
3
0
1
3
1
1
1
2
0
3
1
0
0
1
1
3
3
3
2
1
3
0
0
0
2
2
1
1
0
0
3
2
0
1
3
2
3
0
0
3
3
1
0
2
0
1
3
3
2
2
2
2
3
3
0
0
0
1
0
3
3
0
3
1
1
0
0
0
2
3
2
1
2
1
0
3
2
3
3
1
1
0
1
1
2
2
0
1
1
0
2
3
1
2
3
3
0
0
1
0
1
0
3
2
1
1
2
2
3
2
0
1
2
2
1
2
0
0
1
3
3
3
1
3
1
1
2
3
0
0
2
2
0
2
2
2
2
2
2
2
2
1
0
1
3
3
2
2
3
2
1
2
2
0
1
2
3
3
0
2
3
0
1
1
1
3
1
1
3
1
0
0
0
3
0
3
0
2
1
0
1
0
0
0
0
3
0
3
3
0
1
0
1
1
1
2
1
3
1
1
0
0
0
3
2
1
0
3
1
0
3
1
3
0
2
0
3
0
1
1
3
3
1
3
0
1
3
0
1
0
3
2
2
1
3
2
1
1
0
1
3
0
1
1
3
0
1
0
3
2
0
1
3
1
1
0
0
2
0
2
2
0
3
3
3
2
0
0
1
2
2
1
0
2
2
0
1
2
2
1
2
1
2
2
1
2
1
3
0
3
2
2
0
0
3
0
0
3
3
3
2
1
3
3
3
3
3
2
0
1
1
2
2
3
1
3
3
3
1
0
1
0
1
1
0
2
3
1
1
2
0
1
3
1
1
0
0
3
1
3
3
0
1
1
2
3
0
3
2
0
2
1
0
2
2
1
1
0
2
1
1
1
0
1
2
0
3
1
1
2
3
3
0
3
0
3
3
1
3
3
0
1
3
1
2
0
3
3
2
0
3
2
0
1
2
2
3
3
1
1
3
0
3
0
1
1
3
2
0
2
1
0
1
1
3
0
0
1
3
1
0
2
2
3
3
2
1
1
2
3
1
2
0
3
2
1
2
0
2
0
0
0
1
1
3
3
1
1
0
3
0
0
1
3
3
0
3
0
0
3
0
0
2
0
2
3
0
3
2
3
3
1
3
1
1
3
3
3
3
0
2
0
0
2
2
0
1
1
1
1
2
2
1
0
1
3
3
2
0
1
2
1
2
0
1
2
1
0
1
2
1
1
2
0
1
3
1
3
3
1
3
1
0
0
3
2
2
2
1
3
0
2
2
0
3
1
1
2
1
3
3
1
2
2
1
1
3
3
3
3
2
1
2
0
2
0
3
2
0
3
3
0
3
2
2
1
0
3
2
1
3
3
0
2
3
0
0
2
2
3
0
0
3
0
0
3
0
0
0
0
2
2
1
2
3
1
3
0
0
1
0
3
3
3
3
3
0
3
3
0
3
1
0
2
2
2
1
3
0
3
2
1
0
1
3
3
1
1
3
1
2
2
1
0
3
2
2
0
0
0
3
0
2
2
0
0
1
1
0
3
2
3
0
3
0
3
1
0
1
3
0
3
0
3
3
0
2
2
3
2
3
2
3
1
2
2
3
0
1
3
3
2
0
1
1
0
0
1
1
0
1
2
2
1
0
0
1
0
0
0
3
3
1
2
0
0
1
0
1
1
3
0
3
3
3
3
2
3
2
3
3
2
0
1
1
2
0
0
3
2
1
2
3
0
3
3
0
1
1
2
2
2
3
2
0
2
3
0
1
0
0
0
1
3
2
3
1
3
3
1
3
3
2
0
0
2
0
3
2
0
3
0
2
2
0
3
0
1
1
3
0
1
1
1
1
3
1
1
1
2
2
2
3
1
0
3
0
3
1
1
3
0
3
1
3
0
0
0
0
3
1
0
3
1
1
1
0
0
3
2
2
1
0
0
1
1
0
0
1
0
0
0
0
0
1
3
2
1
1
1
2
2
1
0
1
3
2
2
2
0
0
0
3
2
3
1
1
2
0
3
1
3
3
1
1
1
2
3
0
0
0
0
3
2
1
3
0
2
0
0
3
2
0
0
0
0
1
1
2
2
0
2
1
3
3
3
0
1
3
3
1
3
3
1
0
1
3
3
2
3
1
2
0
2
2
1
2
3
0
3
0
0
0
0
3
3
2
3
3
2
3
2
0
3
1
2
3
3
3
3
1
0
0
3
2
0
0
0
3
3
1
3
0
3
3
3
3
2
1
2
0
0
1
2
3
0
1
1
3
1
1
1
3
3
3
1
2
3
3
3
3
3
3
3
3
0
3
3
1
1
3
0
0
3
3
0
2
0
3
3
3
1
2
2
0
3
0
1
3
3
2
0
1
1
3
2
2
2
0
1
3
3
1
3
0
2
2
3
2
0
2
2
1
1
3
2
2
1
1
1
3
1
1
0
1
3
1
1
0
3
1
3
0
2
1
0
3
3
1
3
3
3
0
0
2
1
1
3
2
3
2
3
2
0
1
2
0
2
1
0
2
3
2
1
3
3
3
0
0
3
1
3
2
3
0
0
0
0
1
0
0
3
2
0
0
0
3
2
0
0
2
1
3
3
1
0
0
2
1
3
1
1
2
1
3
1
0
0
2
3
3
3
0
0
3
0
3
0
3
0
1
2
2
2
3
2
2
2
3
1
1
2
3
3
3
3
0
3
1
0
0
1
1
1
0
0
3
3
3
2
3
2
3
0
1
1
0
2
0
3
3
0
0
0
3
2
0
2
1
3
2
1
3
2
2
0
1
3
1
0
1
0
0
0
0
2
0
1
3
2
2
0
3
2
1
0
3
3
3
3
0
0
1
0
1
1
1
3
0
3
0
1
1
1
1
2
3
0
2
0
1
0
0
0
3
3
3
3
2
3
2
0
1
2
0
2
2
0
3
1
0
3
3
3
3
0
3
2
1
1
0
3
1
0
2
0
1
1
1
0
1
1
1
2
2
0
0
0
0
3
2
2
1
0
2
3
3
3
1
2
3
2
0
2
2
0
0
0
0
2
0
1
1
0
0
1
2
1
3
1
0
1
0
3
1
3
1
2
0
3
0
2
3
0
1
0
3
0
1
2
1
3
3
3
0
3
1
3
3
1
0
3
1
2
0
3
2
2
2
2
1
3
1
1
2
2
1
0
3
0
0
0
1
0
2
3
3
3
1
0
3
1
1
2
2
3
3
3
3
2
0
0
1
0
1
1
3
2
2
3
3
1
1
2
0
2
0
0
1
3
3
1
0
1
2
0
0
3
1
1
1
2
2
0
1
2
0
3
3
3
0
2
1
0
3
3
0
3
0
3
0
3
2
3
0
2
3
3
3
3
1
3
0
1
2
3
1
0
1
1
3
0
3
3
3
2
0
3
1
3
3
0
1
1
3
3
1
0
0
3
3
1
1
0
3
0
0
0
3
1
0
2
3
2
2
3
0
1
3
1
2
1
3
1
2
1
1
1
3
1
2
3
2
2
1
0
1
2
3
2
2
0
1
1
1
1
0
0
1
1
1
2
0
1
1
3
2
2
2
1
3
0
0
1
2
3
3
3
0
2
3
0
3
1
3
1
3
1
3
0
2
3
1
3
3
2
1
0
3
0
1
1
0
1
1
1
0
3
2
3
3
3
0
2
0
1
2
3
0
0
3
0
0
2
3
1
0
1
1
0
1
1
3
2
2
0
1
1
2
1
0
2
2
3
0
2
0
2
1
3
3
3
3
3
3
3
0
0
1
2
3
3
1
3
1
2
0
3
2
0
1
3
2
0
1
0
1
3
3
3
0
3
0
3
2
2
3
2
0
0
0
0
2
1
1
2
0
1
1
3
2
0
3
2
0
3
1
1
1
3
0
0
0
2
2
0
3
1
1
1
1
1
0
0
1
2
3
0
2
1
1
0
3
0
3
1
3
0
2
1
2
0
0
0
1
3
3
0
1
1
2
1
3
1
1
0
0
1
3
2
1
1
1
1
0
3
3
2
2
3
0
1
3
3
1
3
0
2
3
1
3
3
3
2
2
3
3
3
3
3
3
3
3
2
1
3
0
2
2
2
0
0
1
0
0
1
3
3
1
0
0
1
3
1
2
1
3
0
2
0
3
3
1
3
0
3
1
3
1
2
0
1
2
1
0
0
3
0
2
1
0
0
0
3
2
3
1
1
1
3
0
0
3
3
1
2
2
2
1
1
1
2
2
1
2
2
0
0
1
0
3
1
0
1
2
2
3
3
3
3
0
3
2
2
2
2
3
3
3
3
3
1
0
3
0
2
3
2
3
0
3
1
2
2
0
3
2
3
3
0
2
0
3
2
0
3
0
0
2
1
1
0
0
3
1
3
1
1
3
3
2
0
0
0
3
3
2
0
1
3
1
3
0
3
1
2
3
1
1
2
2
3
0
0
2
2
1
2
0
3
3
0
0
1
0
0
3
1
2
2
1
2
1
1
0
0
3
3
1
0
0
1
2
2
3
0
0
0
0
1
3
1
1
3
0
0
0
1
3
3
1
1
1
0
1
2
0
0
0
1
3
3
0
1
0
3
1
3
1
1
0
3
3
3
1
2
3
0
1
2
1
1
3
1
3
3
2
1
3
1
3
1
2
1
2
1
3
1
1
0
3
2
1
3
3
3
3
2
2
0
0
2
3
2
3
1
2
0
1
1
3
3
3
3
3
3
3
2
3
0
3
0
2
3
2
3
0
0
3
0
0
2
2
2
2
3
3
1
3
1
0
0
0
0
3
0
2
0
1
2
1
1
3
1
0
2
1
2
1
1
1
1
2
2
0
1
2
0
2
0
1
1
1
1
2
3
2
0
2
1
1
0
2
2
1
2
1
2
2
0
0
0
2
3
1
0
3
2
3
0
1
2
1
3
0
3
3
1
1
3
2
2
3
0
0
0
2
1
3
2
0
2
0
2
1
0
2
3
2
0
2
0
2
1
0
0
3
3
3
0
0
3
0
0
3
2
2
2
0
0
3
0
2
2
2
3
1
2
0
0
0
3
3
3
1
3
0
2
0
1
1
2
3
1
1
3
0
0
1
3
1
0
1
2
2
0
3
3
3
0
3
2
1
1
0
0
1
1
2
0
2
0
0
0
1
3
2
0
2
1
2
3
0
1
1
2
1
1
3
2
2
3
3
3
2
3
2
2
3
1
3
1
1
2
3
1
0
1
1
3
3
0
0
2
1
3
2
1
0
3
3
2
1
2
0
2
0
1
1
1
3
2
2
3
3
1
3
2
3
0
3
1
3
1
2
1
0
1
2
1
1
0
0
0
3
1
3
1
0
0
3
3
1
3
2
2
1
3
0
2
2
2
3
0
2
3
3
0
0
0
3
3
0
2
3
0
1
1
2
0
1
3
1
3
1
3
3
2
1
1
2
3
1
3
0
2
3
3
1
3
3
0
0
2
3
1
1
2
1
3
3
0
3
3
3
3
3
1
2
2
3
3
0
2
1
2
0
0
3
1
0
3
1
3
3
3
3
1
3
3
1
2
0
2
3
2
1
1
2
3
0
1
3
1
2
1
0
3
3
1
3
2
2
1
0
1
1
0
0
2
3
2
0
0
1
1
3
0
1
1
1
1
1
0
3
0
1
3
2
2
2
2
0
2
2
2
3
2
0
1
3
3
1
3
0
3
3
0
2
1
0
0
2
0
0
2
3
3
0
1
0
1
2
3
3
1
2
0
2
3
3
0
1
3
1
0
0
3
2
2
0
2
3
0
0
2
3
0
2
0
3
3
0
1
1
2
3
0
1
1
2
3
3
3
2
3
0
2
0
3
2
2
0
2
0
0
3
3
0
2
3
0
0
3
1
1
3
0
1
1
3
3
3
1
1
0
3
2
2
1
0
1
0
1
2
1
0
0
0
3
1
0
0
0
2
2
2
3
0
2
3
3
2
0
3
1
0
3
2
3
1
2
2
1
0
2
3
1
2
0
3
3
0
2
1
0
1
1
3
2
0
3
3
2
1
3
3
3
2
0
2
3
3
1
2
2
3
3
2
0
3
1
1
2
3
0
2
0
1
1
3
3
3
1
1
0
0
1
0
3
3
1
3
3
2
3
3
3
3
3
1
3
3
3
2
3
2
2
0
3
3
3
3
0
1
2
3
3
2
0
2
0
2
2
3
0
3
3
3
1
3
2
1
3
0
1
1
3
0
2
2
2
3
1
0
0
0
2
3
0
0
1
1
2
3
1
2
1
1
0
0
2
3
3
3
3
0
0
2
0
0
0
2
1
1
0
0
3
2
3
1
3
1
0
0
0
0
2
0
3
3
0
2
0
1
0
2
2
0
3
1
0
1
2
2
2
2
2
2
2
1
1
0
3
3
0
0
1
2
0
3
1
3
1
1
0
0
0
1
1
3
2
3
1
2
0
3
2
1
2
3
1
0
2
2
0
3
0
3
1
2
3
0
1
3
3
2
3
0
2
1
1
2
3
3
2
2
1
3
1
3
3
3
3
0
3
2
2
0
0
3
2
2
2
1
1
3
0
3
2
2
3
1
0
2
1
1
0
3
3
3
3
1
0
0
1
3
3
1
1
2
3
3
1
3
3
0
1
3
2
0
1
1
3
3
3
0
0
0
0
1
2
0
3
3
0
2
2
0
0
0
0
0
2
0
2
2
3
3
3
0
1
3
0
1
0
0
0
3
3
0
1
1
1
2
1
3
3
3
3
1
1
0
2
2
2
1
0
3
2
0
1
1
3
0
0
0
0
2
0
2
3
0
0
3
0
0
2
1
3
0
0
1
0
3
0
3
1
2
0
2
2
2
0
0
0
1
1
3
3
1
1
0
1
3
3
3
3
0
1
3
2
3
2
2
2
2
1
3
2
0
3
0
3
1
1
1
1
0
2
2
0
3
1
0
2
2
1
2
3
3
2
3
3
3
2
2
1
3
0
2
1
3
1
0
0
0
1
2
2
2
1
1
0
2
0
2
0
1
1
0
3
3
1
0
2
2
3
0
1
2
2
2
2
3
0
3
0
3
3
0
0
3
3
3
1
1
1
2
0
0
0
0
1
3
2
3
3
1
1
3
0
3
1
1
1
2
0
2
1
1
2
2
1
0
3
3
2
0
1
2
3
1
0
3
2
0
1
0
3
3
0
0
3
3
3
1
3
3
3
0
0
0
0
2
0
1
3
1
2
1
1
3
1
1
1
1
1
0
2
1
0
3
1
3
1
1
2
2
3
3
1
3
3
3
2
0
2
1
2
0
0
0
1
2
0
1
2
2
0
2
2
3
3
3
3
1
1
0
1
1
3
1
1
2
2
2
0
2
0
1
2
1
1
0
0
3
2
2
1
1
1
3
1
3
0
2
1
3
2
3
2
0
0
2
3
0
1
3
3
1
1
1
1
3
0
0
1
0
3
3
3
3
1
1
1
1
3
2
3
3
0
0
2
1
1
2
1
2
3
3
3
2
3
0
0
1
0
3
1
0
1
2
0
1
3
3
1
1
2
2
0
2
3
2
1
0
1
1
3
1
2
1
1
1
0
2
0
0
3
0
2
0
1
3
3
0
3
1
0
2
1
2
3
0
0
0
2
1
3
0
0
2
2
0
1
2
2
0
0
0
2
3
1
0
0
0
3
3
1
3
3
3
1
3
1
0
3
0
0
0
2
3
2
1
1
3
0
0
3
0
0
0
1
3
0
3
1
1
3
2
3
1
0
3
2
2
0
3
1
0
0
3
1
3
3
1
2
2
1
3
2
3
2
2
2
3
0
2
2
3
3
0
1
3
1
3
3
0
3
3
3
3
2
0
2
3
0
2
3
3
3
1
0
1
0
0
1
2
3
2
3
0
0
1
2
2
3
3
0
3
1
1
3
2
0
2
3
0
2
2
2
2
1
0
2
3
1
2
2
0
3
3
0
3
3
1
3
0
0
3
2
1
0
2
3
3
0
3
2
0
2
0
1
3
3
0
3
1
3
0
0
3
1
3
2
3
2
0
3
0
0
3
3
0
3
0
1
3
2
0
3
1
0
2
2
2
1
1
1
2
3
1
1
2
3
3
1
3
3
3
0
2
2
0
2
2
0
2
3
3
0
0
3
0
1
3
1
0
3
2
2
3
3
3
1
3
1
2
3
3
1
3
3
2
1
3
3
0
2
3
1
2
3
0
3
2
3
1
2
1
2
0
3
1
0
0
1
1
1
3
1
0
0
1
1
1
2
3
3
2
2
1
1
1
1
1
1
3
2
0
0
1
1
3
2
1
2
3
1
3
1
2
1
1
2
0
3
1
1
1
2
0
2
1
1
1
3
0
1
2
0
1
1
0
0
2
3
0
1
1
1
1
1
3
0
3
3
2
3
0
0
3
3
1
3
1
0
1
1
0
2
1
3
3
3
2
2
3
3
2
1
1
0
3
3
0
0
2
3
2
2
1
1
3
2
0
3
1
1
0
0
2
0
2
3
3
2
0
3
3
2
1
3
3
3
3
1
1
3
3
0
0
2
0
0
2
3
3
0
3
0
0
3
3
3
2
0
3
3
1
0
1
1
3
1
0
2
2
1
3
3
1
1
0
1
0
1
1
0
3
3
1
3
3
0
3
2
3
1
3
1
1
1
3
1
1
0
0
1
2
3
3
1
3
1
1
0
1
1
3
1
2
3
2
0
1
2
3
0
1
3
0
0
0
3
1
3
1
3
3
3
3
1
3
2
0
1
3
0
0
0
3
2
0
3
0
2
1
0
1
3
1
3
3
2
2
3
3
0
0
0
3
1
0
2
1
3
1
2
1
3
3
1
2
1
0
0
1
2
3
2
0
3
1
2
0
2
2
1
1
0
0
1
1
1
1
1
2
3
3
2
0
2
3
3
1
0
2
1
0
0
1
2
0
2
3
2
0
1
2
3
0
0
3
2
2
0
1
1
0
3
1
3
3
2
3
2
2
1
1
2
0
3
0
2
3
1
1
2
3
0
2
3
3
3
1
0
1
1
3
3
3
3
0
2
2
2
2
3
0
2
1
2
0
1
3
0
3
3
2
0
1
2
2
3
3
0
1
0
2
2
1
3
3
1
1
0
2
1
0
1
1
1
1
0
0
3
1
2
3
3
2
0
2
0
0
1
3
3
3
3
2
0
0
1
2
3
3
2
3
3
3
1
3
2
0
0
2
1
2
1
3
3
0
0
3
0
1
1
1
1
0
0
0
3
1
2
3
3
3
2
1
1
2
0
0
0
1
3
1
0
2
1
2
2
1
2
0
0
0
3
1
0
3
0
1
2
1
3
0
0
2
1
3
0
3
3
1
0
1
3
2
0
2
0
0
1
3
1
2
3
2
0
2
0
3
2
0
2
2
2
2
2
1
0
3
0
2
3
3
0
3
1
1
1
0
0
1
1
2
3
0
3
2
0
3
1
3
0
0
1
0
0
0
3
1
3
2
3
0
2
1
3
3
3
1
0
0
1
1
0
1
0
0
0
2
0
0
2
1
3
2
2
2
1
1
1
1
3
0
3
1
2
2
1
2
3
1
2
0
3
0
3
0
2
2
1
2
0
0
0
0
3
3
0
1
1
1
2
0
3
1
0
1
1
1
0
1
3
1
3
3
3
3
1
3
3
3
0
0
1
3
3
1
2
1
1
2
3
3
0
0
0
1
3
2
1
1
1
3
3
3
2
3
0
1
0
1
1
2
3
3
2
1
0
2
2
2
0
2
3
1
3
3
3
1
1
1
3
0
0
1
3
0
2
2
3
1
2
1
3
3
0
1
3
3
3
3
0
0
3
0
1
1
3
2
1
0
0
2
1
2
3
3
0
0
1
1
3
0
0
2
2
1
1
0
1
0
2
0
3
1
2
0
1
3
0
1
0
1
0
1
1
3
0
0
3
0
2
1
3
0
2
1
0
0
0
0
2
0
0
2
0
3
3
3
3
1
0
2
2
0
1
0
1
2
1
2
3
1
0
0
2
3
2
0
0
0
1
2
3
2
1
3
0
2
2
1
2
1
0
0
3
3
2
3
0
0
0
1
2
0
3
3
1
0
3
3
3
0
1
1
0
0
2
0
2
3
3
3
1
0
1
1
1
1
2
1
0
0
2
2
0
0
3
3
2
2
3
1
3
0
1
1
3
0
1
1
0
3
0
3
1
2
1
3
1
1
3
2
0
2
0
0
1
1
3
1
0
3
3
1
2
1
1
1
0
0
0
1
3
3
2
2
3
1
1
3
1
1
2
3
3
3
2
3
0
0
0
3
3
2
2
3
3
3
0
3
3
1
0
3
1
3
2
3
3
2
0
2
3
1
2
3
2
2
0
1
3
3
3
3
3
0
0
2
1
0
3
1
3
3
0
0
2
0
1
0
1
0
1
3
3
3
3
1
0
1
2
0
1
2
0
2
2
3
1
2
3
3
1
2
2
3
1
2
1
3
1
2
3
2
3
0
3
1
0
0
3
3
1
3
0
2
0
1
0
3
2
2
2
3
2
1
0
1
1
1
1
3
1
1
2
2
0
3
2
0
1
2
3
3
1
1
3
3
2
1
1
1
1
3
0
0
3
1
0
3
1
3
0
1
1
2
0
2
3
1
2
2
3
3
1
3
1
3
1
3
1
3
3
2
2
2
1
1
1
3
0
3
1
1
1
3
0
1
3
0
1
3
2
0
3
2
1
1
1
1
3
0
0
1
1
3
1
0
0
0
1
0
2
0
1
1
2
3
2
2
0
3
0
1
1
0
2
1
0
0
2
2
3
1
1
2
0
3
1
2
1
0
2
1
3
1
2
1
1
2
2
3
2
0
3
3
1
0
1
0
1
3
0
2
1
3
0
0
3
3
0
3
3
2
3
2
3
0
0
3
1
1
2
2
1
3
3
0
0
3
2
3
3
0
0
2
0
2
2
0
1
3
3
2
1
3
3
2
2
1
0
1
0
1
3
3
3
1
0
2
1
0
0
3
0
1
1
3
3
3
0
3
3
0
1
2
0
1
2
1
0
2
3
0
1
1
3
2
1
2
3
3
1
3
0
3
2
2
0
0
1
3
0
0
0
2
2
2
0
0
1
1
3
1
1
0
2
2
0
0
2
0
1
0
2
3
3
1
0
3
2
3
2
3
2
3
1
1
1
3
1
2
3
3
1
2
3
3
1
0
1
0
0
2
0
0
3
3
1
1
1
0
1
1
3
0
3
1
3
3
1
3
3
1
2
3
2
3
2
1
1
0
2
3
3
3
1
1
2
2
1
0
1
1
1
0
2
3
3
2
0
2
0
1
1
0
0
1
1
3
3
2
0
1
1
3
3
2
0
3
1
0
0
0
2
1
1
1
3
3
2
2
2
2
2
2
1
3
2
0
1
3
0
1
0
2
2
2
0
0
2
1
1
2
3
0
0
0
1
2
3
3
3
3
0
3
2
3
0
1
0
1
3
0
1
0
3
2
3
1
1
1
3
1
0
0
0
1
2
2
2
1
2
1
1
0
3
3
3
0
1
0
0
3
1
1
1
1
3
2
2
1
3
2
1
0
0
0
2
2
1
2
0
1
0
3
1
0
1
1
2
2
1
2
2
1
2
1
1
1
1
1
0
1
2
0
1
1
1
3
2
1
3
3
0
1
1
3
2
2
2
1
3
1
1
0
2
2
2
3
3
3
3
2
1
3
1
3
1
2
3
2
2
1
3
1
3
1
0
1
1
2
2
0
0
0
0
2
1
2
3
2
3
0
1
1
3
2
3
0
1
3
2
2
1
2
3
0
2
1
3
0
0
0
0
2
0
1
2
3
3
3
0
1
0
3
0
3
2
2
3
2
2
3
0
1
1
1
1
0
3
0
1
2
1
0
2
2
2
2
0
1
1
1
1
0
3
2
2
2
2
3
3
3
3
2
1
3
3
0
3
2
2
2
1
0
0
2
0
0
2
1
3
3
1
3
0
3
0
3
0
0
3
3
1
0
0
1
2
1
1
2
0
2
0
2
1
0
0
3
0
2
2
2
2
2
3
0
1
1
1
0
3
1
0
0
3
3
2
0
0
3
0
2
1
2
0
0
1
1
1
3
1
2
0
0
2
1
3
1
1
2
3
3
1
3
0
3
2
3
3
2
1
2
0
3
1
3
3
2
1
1
3
2
2
2
1
3
2
1
1
0
1
0
1
1
1
2
3
3
1
0
3
0
0
3
3
1
0
3
2
0
2
3
1
3
0
1
0
2
3
1
1
1
3
2
2
2
3
3
0
1
3
0
0
2
0
2
0
3
3
1
2
1
1
0
1
0
0
3
2
0
3
2
3
0
2
1
2
2
2
1
3
0
0
0
2
1
1
1
2
0
2
2
2
3
0
0
1
3
2
3
0
0
3
3
3
0
2
1
0
0
1
2
2
3
1
3
2
0
3
3
1
3
0
2
0
1
0
0
0
2
1
1
0
3
0
2
3
1
0
2
3
3
3
3
2
3
2
2
2
1
1
3
1
1
3
3
3
1
3
0
1
1
2
3
0
1
2
3
2
0
0
0
1
3
2
3
3
1
1
2
2
1
0
1
3
2
2
0
0
0
3
3
2
2
1
0
2
3
2
0
2
3
2
0
0
3
2
2
1
3
3
0
1
0
1
2
0
0
3
3
3
0
3
3
0
0
3
0
2
1
1
2
1
1
3
3
3
1
2
1
1
3
1
0
2
2
1
1
1
3
1
3
0
2
3
0
1
2
2
3
3
0
0
2
3
3
2
0
3
3
3
3
3
3
0
1
1
2
3
3
1
2
1
2
1
0
2
3
1
1
0
1
1
1
3
1
1
0
1
3
1
3
2
2
1
1
0
0
1
1
0
0
3
2
3
1
3
3
1
0
1
3
0
3
2
0
2
0
1
1
2
3
1
1
3
3
1
1
1
2
3
2
0
2
1
1
0
3
3
0
1
3
1
3
1
3
2
1
2
2
3
1
1
3
2
1
3
0
0
3
2
1
1
3
3
3
3
0
2
1
2
2
1
1
2
0
0
1
3
3
0
2
1
2
0
3
2
3
3
1
3
0
0
2
2
0
3
0
3
1
0
0
3
1
1
1
1
3
3
1
0
2
1
0
0
3
1
3
3
3
3
0
2
2
1
1
2
2
3
1
3
3
3
0
1
2
3
0
3
3
0
1
1
0
0
3
0
3
2
2
2
0
3
0
0
0
0
0
2
3
2
0
2
2
2
2
0
0
2
1
0
0
0
2
1
3
0
0
2
2
2
0
3
2
2
2
3
1
0
2
3
0
3
0
2
1
0
1
2
0
3
3
3
3
3
3
1
3
0
1
1
2
0
1
0
1
3
3
3
3
1
0
2
2
2
2
3
3
0
3
1
0
1
3
2
2
1
0
1
1
3
0
0
1
3
3
2
2
3
2
1
2
0
2
3
1
0
2
2
2
1
0
0
2
3
1
1
0
1
1
1
3
3
0
1
1
2
0
2
1
3
1
1
1
1
0
0
3
0
0
0
3
3
3
0
3
0
2
1
1
2
1
0
0
1
2
0
1
2
2
0
2
3
3
2
0
2
3
1
3
0
2
3
1
3
1
0
2
3
3
0
0
2
3
0
2
2
2
1
1
3
3
3
2
2
1
1
0
3
1
0
2
2
3
1
1
2
3
3
1
2
2
0
0
2
3
0
3
2
0
1
2
3
2
1
1
3
3
2
1
0
3
0
3
3
3
1
2
1
0
0
2
3
3
1
1
3
2
3
3
0
2
3
0
0
0
1
1
0
1
0
3
2
1
2
3
1
3
3
2
1
1
2
0
1
1
1
1
2
3
2
2
3
2
3
1
2
0
1
1
2
3
3
2
2
0
0
2
2
1
1
1
0
0
3
1
0
2
1
1
2
1
1
3
1
1
1
1
3
0
0
1
0
1
1
2
0
0
0
2
3
0
2
1
1
1
3
1
2
1
1
0
0
3
0
1
3
3
1
1
3
0
0
2
2
3
0
0
2
3
1
0
1
1
2
0
1
0
3
2
3
1
3
3
3
3
3
1
0
2
2
2
2
1
3
2
2
0
1
0
3
3
0
0
3
2
0
0
0
2
2
2
3
2
0
2
0
1
3
0
3
3
2
2
3
3
2
1
3
0
3
2
1
2
1
3
2
0
3
1
1
0
0
0
3
2
3
1
1
3
0
2
3
3
2
2
2
1
3
1
3
3
1
1
2
2
2
1
1
1
0
0
0
1
1
1
3
1
1
3
2
0
0
0
0
0
1
2
2
2
1
2
2
0
0
3
3
2
2
0
0
0
2
2
2
1
0
3
3
0
1
3
3
0
1
1
0
2
2
2
3
0
3
3
2
1
1
0
1
2
3
2
2
3
2
2
0
0
2
0
1
2
0
3
0
0
2
2
2
1
1
1
3
0
0
1
3
3
0
3
3
2
2
3
0
0
3
3
3
1
3
3
1
3
3
3
3
0
3
1
1
3
0
3
0
2
0
3
2
0
2
0
3
2
2
0
0
0
0
0
1
3
1
2
2
0
2
1
1
3
0
0
0
0
2
0
0
1
0
0
3
2
0
1
3
0
0
0
3
0
0
1
0
1
2
1
1
3
0
2
3
2
2
0
0
1
1
2
1
3
2
3
3
2
2
0
2
3
0
0
1
3
3
3
3
2
0
3
3
1
1
2
1
3
3
2
1
3
3
0
1
0
3
0
2
1
3
1
1
3
1
1
1
0
3
3
0
2
3
3
1
0
1
2
3
2
0
1
1
3
1
1
3
1
0
0
0
0
3
1
0
3
1
0
0
1
0
0
2
1
2
1
0
0
3
2
3
2
2
3
0
3
2
0
0
2
1
1
3
3
1
2
1
3
0
1
1
2
3
3
2
3
0
1
2
0
1
1
1
2
1
0
1
3
3
3
0
0
0
2
3
3
2
2
3
2
0
0
3
1
1
0
2
1
3
3
1
2
0
3
0
3
1
0
3
3
0
1
3
3
3
3
2
1
0
1
0
2
0
3
1
0
0
0
3
3
3
0
0
3
3
3
0
0
0
2
0
0
2
1
1
2
1
3
3
2
3
1
3
1
2
2
2
0
3
2
2
3
2
0
2
3
0
1
3
3
3
1
3
3
0
1
2
1
1
1
2
0
3
3
0
2
1
3
0
1
1
3
3
0
3
0
2
1
0
0
2
0
3
0
3
1
1
2
1
2
3
1
0
3
1
2
1
1
2
3
0
0
3
3
0
0
1
1
3
1
2
1
0
1
3
1
3
2
0
3
3
3
0
3
0
0
1
0
0
3
2
3
1
2
1
2
0
0
3
2
0
1
0
1
0
0
0
2
3
1
0
1
1
0
0
0
3
2
0
3
1
0
2
1
1
0
2
1
1
2
3
2
2
2
1
3
1
3
2
3
1
1
2
3
2
3
3
1
2
3
3
1
1
1
0
3
3
0
2
1
1
1
3
0
3
3
1
2
3
3
3
3
3
0
0
0
1
3
3
1
2
2
1
3
1
3
3
0
0
2
0
2
0
0
0
2
2
1
1
0
2
2
1
3
0
1
2
2
1
3
1
1
0
3
0
0
2
3
0
2
0
1
2
0
0
0
2
1
2
3
0
1
0
0
3
3
0
0
0
2
3
3
2
0
0
3
3
2
0
3
0
3
3
3
1
3
3
3
1
3
2
2
2
0
3
2
0
0
0
3
2
1
3
2
3
3
0
2
3
2
3
0
3
1
1
3
1
2
2
3
2
1
3
0
3
0
2
1
3
0
2
0
3
1
1
1
3
0
1
0
0
3
2
1
2
1
1
2
2
1
1
3
3
3
1
1
2
0
0
1
3
0
1
2
0
2
1
1
1
0
1
0
1
0
0
3
0
0
0
0
0
2
3
2
2
2
3
1
0
1
3
0
2
1
2
2
2
3
3
2
0
3
2
3
0
0
0
2
2
0
3
0
1
0
2
0
3
0
3
2
3
3
0
1
3
1
3
0
3
3
3
1
1
1
0
1
3
0
0
0
1
2
1
0
3
1
1
0
0
1
1
0
0
0
1
3
3
3
3
2
0
2
0
1
2
1
2
1
3
2
3
3
3
3
1
1
3
0
0
3
0
3
3
3
0
2
1
3
2
2
2
1
0
1
2
2
1
1
0
2
1
1
3
3
1
1
3
3
0
1
1
3
1
3
0
2
3
2
1
1
1
3
3
3
2
0
3
1
0
3
0
2
3
1
3
3
2
0
3
0
3
1
1
0
3
0
3
3
0
3
1
3
2
0
1
3
3
1
0
0
3
1
3
3
2
0
0
0
3
2
0
0
2
0
0
0
2
2
1
0
3
0
3
3
0
2
1
1
1
0
2
0
3
1
2
1
0
1
3
0
3
0
3
1
2
3
1
3
3
3
3
3
1
3
1
2
3
1
2
3
1
1
0
0
3
1
1
0
0
0
0
1
1
1
2
2
3
0
0
1
0
3
1
1
1
1
1
1
1
0
2
2
2
2
1
2
3
0
3
3
1
3
2
2
0
3
3
3
0
3
2
3
1
1
0
0
0
3
0
2
3
2
1
2
3
1
2
3
3
3
3
3
0
0
2
2
3
2
0
3
2
3
1
3
3
3
2
1
2
2
3
1
2
3
3
0
2
1
0
0
1
3
0
1
0
1
1
0
1
1
1
0
0
3
3
3
2
0
3
3
0
3
2
0
1
3
0
3
1
0
1
1
0
3
3
3
1
2
1
2
2
3
3
0
3
2
3
0
2
3
3
3
3
3
3
3
3
2
3
3
1
1
2
1
1
3
0
2
0
3
0
1
0
2
2
1
2
1
1
0
2
0
3
3
0
1
0
2
2
3
2
2
3
2
1
0
2
2
1
1
3
0
2
1
2
1
3
2
3
3
1
1
0
2
2
3
3
1
3
1
2
0
1
1
0
3
2
2
2
1
0
3
1
0
1
0
0
0
1
3
0
3
3
3
2
0
0
0
3
3
0
0
3
1
0
1
0
0
1
2
2
2
1
3
1
2
3
1
3
1
3
0
1
2
3
2
0
0
3
1
1
3
1
3
0
2
1
0
0
1
1
0
0
0
1
3
2
1
1
1
1
3
2
2
0
0
3
2
1
1
3
0
1
0
2
1
1
1
3
2
2
1
3
2
0
1
2
3
2
2
2
2
0
3
0
2
3
0
2
0
1
2
0
3
3
1
3
3
0
0
0
0
0
1
2
0
0
1
1
3
2
1
1
1
0
0
3
3
0
3
3
3
2
0
0
0
3
0
2
0
0
0
2
0
3
3
3
3
1
3
3
2
0
0
0
2
0
0
0
1
1
2
0
3
2
1
1
1
0
0
2
2
3
3
3
0
3
3
2
3
3
1
3
2
2
1
1
3
2
1
1
1
0
2
3
1
0
0
1
3
1
2
1
3
0
3
2
0
2
3
1
1
1
2
1
1
1
3
3
1
1
3
3
2
3
1
1
3
3
3
1
0
1
1
3
1
2
3
1
3
1
1
2
2
3
3
0
3
0
1
3
2
0
0
1
1
1
2
0
3
2
2
2
0
3
3
1
2
3
3
1
0
2
2
1
1
1
1
0
3
0
2
1
1
3
3
0
0
3
0
1
1
1
3
3
1
3
2
0
0
1
0
1
2
2
3
3
0
0
2
0
3
0
2
0
2
2
1
2
2
3
3
3
3
3
3
0
2
3
1
2
0
3
2
1
1
3
0
3
0
0
3
0
1
0
1
1
3
1
0
0
1
2
0
1
2
3
3
0
0
3
3
3
1
2
0
3
0
1
1
0
2
1
0
1
1
3
2
1
1
1
3
3
3
0
3
1
0
1
0
1
3
0
3
0
0
2
1
3
1
2
2
0
1
3
2
3
1
2
2
3
1
3
3
0
0
2
1
3
0
3
1
3
3
2
3
3
3
0
3
2
3
3
1
1
2
1
2
3
3
0
1
1
0
0
3
2
2
0
2
1
3
1
3
3
2
0
2
3
1
3
0
3
1
1
2
2
2
1
2
3
1
1
1
2
2
1
3
0
1
0
0
1
1
3
0
2
0
3
2
2
2
2
3
2
3
0
1
0
1
2
0
1
3
1
3
3
0
0
0
0
0
3
0
1
1
0
2
0
3
3
0
1
0
2
1
2
0
2
1
3
0
3
0
0
3
0
1
2
2
1
1
3
0
3
2
0
0
0
2
2
3
3
1
3
3
2
3
2
1
0
0
0
3
3
3
3
3
2
3
2
3
0
3
3
1
3
1
2
3
0
2
2
3
1
3
0
0
3
0
0
3
1
1
3
3
0
1
2
0
0
1
3
0
3
2
1
0
0
0
2
2
2
2
3
0
3
3
3
2
3
3
0
1
1
0
3
2
2
0
1
0
1
1
2
3
3
3
3
2
1
1
2
2
3
1
1
1
3
1
1
0
1
2
0
2
1
3
1
1
3
0
0
2
0
0
3
3
0
3
1
1
2
3
3
1
0
3
3
0
3
3
1
0
1
1
3
2
0
3
0
0
2
1
2
0
0
3
3
2
2
3
0
1
3
3
0
2
1
1
2
2
2
1
1
0
1
2
1
3
0
3
2
0
1
3
1
0
1
1
2
0
0
0
0
3
3
2
0
1
1
1
1
3
0
2
0
3
2
2
0
0
0
2
3
2
2
1
2
1
1
3
0
0
0
1
2
0
0
0
2
3
0
0
3
2
3
1
3
0
1
0
0
3
0
0
0
0
3
2
3
2
3
3
1
1
3
1
1
0
3
3
3
3
3
0
3
3
0
1
1
3
2
3
2
3
3
3
3
3
1
3
0
0
2
2
1
2
2
0
3
3
1
1
0
0
2
1
1
2
1
0
3
2
2
3
1
2
0
3
1
2
3
0
3
3
1
1
3
2
1
1
3
3
0
1
3
1
1
1
2
0
0
0
3
0
0
3
0
3
2
0
0
1
1
1
0
3
3
2
1
1
2
3
3
0
0
3
3
2
3
2
3
1
3
1
2
3
3
0
1
1
1
0
0
3
3
3
1
2
2
1
0
2
0
1
3
3
3
3
3
3
3
3
2
0
1
2
2
2
1
0
2
2
1
3
0
3
1
2
1
1
0
1
0
3
0
3
1
0
1
3
0
2
3
3
1
0
1
3
3
0
2
1
0
2
1
0
2
1
1
1
3
1
0
2
2
3
3
3
3
0
3
2
1
3
2
1
3
1
0
1
0
3
2
0
0
1
2
1
1
3
1
0
1
3
0
2
2
1
0
0
0
2
3
3
0
2
2
3
0
1
3
3
3
0
3
3
3
3
1
2
3
2
2
3
2
1
0
0
0
3
1
0
1
2
2
3
3
2
0
2
1
1
0
0
2
3
1
2
1
0
2
2
1
1
2
0
1
1
2
1
1
1
2
3
0
2
3
0
1
2
3
2
0
1
1
1
3
1
2
3
3
1
2
3
2
3
1
1
3
3
2
2
1
1
3
2
0
0
3
2
3
1
3
2
3
2
1
0
2
0
3
3
3
3
2
1
1
2
0
3
3
0
0
3
1
1
2
2
2
0
0
3
3
0
0
2
3
3
3
3
1
1
0
0
1
0
1
2
1
0
1
0
3
1
1
3
3
0
3
3
2
3
2
2
0
2
3
2
1
3
2
2
0
1
1
3
3
3
3
3
3
3
3
3
0
1
0
0
3
1
2
0
0
0
3
2
3
3
2
2
2
3
2
0
2
2
0
0
0
3
0
0
0
2
3
0
3
2
1
0
1
0
3
3
1
1
1
0
2
2
0
3
0
0
1
0
3
2
1
3
2
3
2
0
1
1
0
3
2
1
1
0
1
2
3
0
2
2
2
3
0
0
1
3
3
1
3
1
2
2
3
3
0
3
1
3
2
1
0
0
0
0
2
1
3
2
0
2
0
0
1
0
3
2
1
3
2
3
3
1
1
1
3
0
0
3
0
0
2
2
3
1
0
0
2
2
1
3
2
2
0
2
3
0
1
1
2
1
3
1
3
3
1
3
2
2
3
1
3
3
0
3
2
0
3
1
1
0
3
3
1
1
3
2
1
1
3
1
0
3
1
1
1
3
1
3
1
3
0
0
1
2
3
3
3
2
3
2
3
3
3
2
3
3
1
0
2
2
2
1
3
3
0
0
2
1
1
2
0
0
2
3
1
2
3
3
1
2
0
0
3
1
0
2
0
0
2
3
0
0
3
3
3
3
0
0
3
3
0
1
0
3
3
2
3
1
1
1
3
3
1
2
2
3
1
1
2
0
0
0
1
0
0
1
1
3
1
0
3
3
3
1
0
3
3
0
3
2
2
2
0
3
2
1
0
0
1
2
0
3
2
0
1
0
0
0
2
2
1
3
2
3
3
3
2
3
0
1
1
0
1
1
3
0
3
2
0
3
0
0
1
0
2
2
3
1
3
0
3
1
1
3
3
0
2
2
3
1
2
0
3
0
1
3
3
1
3
0
2
1
2
0
2
0
2
2
3
2
2
2
0
1
2
0
3
1
0
2
0
2
1
3
1
1
2
0
0
3
0
2
1
2
2
3
1
1
1
3
3
3
3
0
3
1
2
1
3
3
0
1
1
2
3
0
2
3
3
2
3
1
2
0
0
1
1
1
2
0
3
0
2
0
1
0
2
3
3
0
3
0
2
3
2
3
2
0
3
3
0
0
2
0
0
1
1
0
2
2
1
0
3
3
1
0
0
2
3
2
3
0
3
3
1
3
2
0
2
0
0
0
3
1
3
3
3
0
0
3
1
3
3
2
0
2
3
3
2
1
0
3
2
0
0
3
2
0
0
0
3
3
3
3
1
2
2
1
1
1
1
3
0
3
3
0
0
0
3
2
1
3
0
3
3
1
3
0
0
2
1
2
1
3
1
3
3
3
1
2
3
1
1
1
1
1
1
0
3
2
0
0
2
3
2
3
2
1
1
2
2
3
0
1
0
0
3
0
2
1
2
3
2
2
0
2
0
1
0
0
2
1
2
2
2
1
2
3
1
0
1
0
1
1
2
0
2
0
3
1
0
3
0
2
3
3
3
3
1
1
0
2
1
2
2
2
0
2
3
3
3
3
1
0
3
2
3
3
1
1
2
1
3
3
1
3
2
0
2
0
1
2
3
0
1
3
2
2
2
1
2
0
0
2
0
0
2
0
1
1
0
1
3
3
1
1
1
3
1
1
1
2
3
3
3
0
1
3
2
2
2
1
1
0
3
2
1
0
0
2
0
3
0
1
1
0
1
3
2
0
1
3
3
2
0
3
3
0
2
0
1
3
1
3
3
0
0
2
0
0
1
1
1
1
0
3
1
0
1
1
1
3
1
3
3
3
1
0
0
2
1
0
1
3
3
3
1
3
1
1
1
0
0
0
0
3
1
3
3
3
3
3
0
2
1
0
1
2
2
0
3
0
3
1
1
2
1
0
2
3
1
3
1
1
3
2
1
1
3
1
0
0
3
0
1
2
3
3
0
3
0
0
3
1
0
2
0
1
1
1
3
1
0
0
3
1
1
0
0
2
3
3
2
2
3
3
3
0
0
3
0
1
0
2
1
0
3
3
2
0
1
2
3
2
2
1
1
3
2
0
3
0
2
2
2
0
0
1
2
1
3
1
0
0
2
0
1
0
1
2
2
0
3
1
2
1
0
2
0
3
3
3
3
3
3
3
1
1
3
0
0
0
3
3
2
3
2
3
2
2
1
0
2
2
2
0
1
1
0
0
0
3
0
0
3
3
0
0
3
2
1
0
0
3
2
3
2
3
2
3
3
0
0
2
1
0
1
0
3
2
2
0
3
2
1
1
0
0
3
0
2
0
0
1
0
1
2
1
2
3
3
0
3
3
1
3
3
0
0
2
3
1
3
3
1
1
0
3
2
3
3
2
3
3
1
2
1
2
3
0
2
0
1
2
0
2
1
0
1
1
3
2
1
3
3
3
1
2
2
1
0
1
2
3
0
2
1
1
1
1
0
2
2
2
2
0
0
0
0
2
2
3
0
2
1
2
1
3
0
3
3
2
0
3
2
1
1
3
0
1
0
2
0
1
0
1
2
3
1
0
2
0
0
1
1
0
3
0
0
2
3
2
0
2
2
2
1
2
1
2
3
1
3
2
1
3
1
2
0
2
0
3
2
3
2
3
2
2
0
1
0
0
1
1
1
1
1
3
0
0
1
3
3
3
3
3
0
0
2
0
1
2
1
2
2
0
1
3
1
3
2
2
1
0
3
3
0
3
1
0
2
0
2
1
1
0
1
0
3
2
3
1
3
2
1
3
3
3
3
1
1
0
2
1
0
3
1
2
2
1
3
2
3
0
0
0
2
2
0
2
3
2
2
2
1
3
0
1
0
2
2
2
1
0
3
2
3
3
2
1
3
2
1
3
0
3
2
2
2
2
3
0
0
2
0
0
1
1
0
0
0
3
2
1
1
3
1
1
0
1
1
0
0
1
1
1
2
0
1
1
3
2
2
0
3
1
3
3
0
3
3
1
0
0
1
0
3
2
0
2
2
1
1
3
3
3
0
2
3
0
1
1
0
3
1
2
1
3
0
1
1
2
3
3
2
1
3
1
1
1
1
3
2
3
1
2
1
1
1
3
0
1
0
0
0
0
1
1
3
3
1
0
0
0
0
2
3
2
0
3
2
1
0
3
3
3
3
1
3
3
1
1
3
3
3
3
3
0
3
1
3
1
2
3
2
3
0
3
2
3
2
3
1
1
0
0
3
3
3
0
2
0
1
1
3
0
2
2
3
3
0
1
0
3
1
2
0
1
0
0
1
2
3
1
3
3
2
0
3
0
1
1
3
3
3
1
3
3
3
2
2
2
3
1
1
1
3
3
3
3
0
0
2
2
0
0
3
0
0
3
3
1
0
0
0
2
0
3
2
2
1
2
3
1
0
3
2
3
3
2
3
0
3
3
0
3
3
0
3
2
0
1
3
1
1
3
3
1
0
1
2
0
1
3
1
2
3
1
1
3
3
0
3
1
2
2
2
1
3
1
1
1
3
0
1
1
2
0
2
3
3
3
0
3
3
1
0
2
2
3
2
1
1
1
3
1
1
3
2
1
2
3
3
0
3
3
2
2
0
0
2
0
2
3
3
3
0
0
2
0
1
0
3
2
2
1
3
0
0
2
0
1
0
0
1
2
3
3
0
0
2
1
3
0
0
1
2
0
0
1
3
0
3
1
2
0
2
2
0
2
3
3
2
2
1
1
2
3
1
2
0
1
2
3
2
1
3
2
2
3
2
0
1
1
1
0
3
1
2
3
2
0
2
1
3
2
0
0
3
0
0
1
1
1
3
2
3
2
1
1
0
1
2
0
2
1
3
3
2
0
0
1
0
3
2
3
3
3
2
3
2
0
0
1
2
2
0
3
3
0
3
3
0
1
1
2
2
3
3
0
1
0
0
1
3
0
0
2
3
0
0
2
1
3
3
0
1
0
0
1
3
3
3
1
0
3
3
3
3
2
0
2
0
0
3
1
0
2
2
2
0
2
3
2
0
0
0
3
0
1
3
3
1
0
1
2
2
3
3
0
3
0
0
0
3
3
3
3
3
3
1
2
3
3
2
2
2
0
1
3
3
3
0
3
1
2
1
0
1
1
0
2
2
3
3
2
2
0
0
1
0
0
3
3
2
2
2
2
3
0
2
0
2
3
1
1
2
1
1
0
3
2
1
0
0
1
0
2
2
1
3
3
3
0
0
2
0
0
3
0
0
2
3
2
1
1
1
1
1
3
3
0
3
2
3
0
3
2
3
3
0
2
1
3
0
1
3
3
3
1
0
0
0
0
3
1
2
3
0
1
0
3
1
3
0
2
3
3
3
3
0
2
2
1
3
3
0
2
1
0
3
3
3
0
3
1
3
2
2
0
3
3
0
3
3
1
2
1
1
1
2
1
0
1
0
3
2
2
3
2
2
3
0
0
0
0
0
0
2
1
0
3
3
2
1
2
2
0
3
0
1
1
3
3
0
0
2
3
1
0
1
3
0
1
3
1
0
2
1
0
0
3
2
1
0
1
0
2
0
2
2
1
1
1
0
3
3
1
0
2
1
0
0
2
0
1
2
0
1
0
0
3
2
3
0
2
1
2
1
0
2
3
3
0
0
0
0
0
2
0
1
2
2
1
1
2
0
2
0
1
3
2
2
3
2
2
0
0
3
0
1
0
0
1
0
0
1
3
2
2
1
0
3
1
2
3
0
1
0
1
1
3
2
2
0
1
2
0
0
1
1
3
0
3
2
2
1
2
0
0
2
0
0
2
2
0
0
1
2
3
1
1
0
1
3
3
1
3
3
3
1
1
1
1
1
2
3
0
3
3
0
3
1
3
0
0
3
1
1
3
3
0
1
0
1
2
3
0
1
2
3
2
1
2
2
3
3
0
1
2
3
2
2
0
0
2
1
1
1
3
3
0
2
0
1
0
1
3
3
2
0
1
1
0
0
2
2
3
2
0
3
2
0
0
3
1
0
0
0
0
3
2
1
0
3
3
0
0
0
1
2
2
1
0
3
0
3
1
3
2
0
0
1
2
2
1
3
1
3
1
0
3
0
2
2
3
2
3
1
1
3
0
1
2
2
3
1
3
0
1
2
1
2
0
2
2
0
3
3
1
3
3
3
3
3
0
2
2
2
2
2
3
0
3
2
1
2
1
0
3
2
0
1
1
2
3
3
1
1
0
2
0
2
2
0
2
3
2
2
3
0
1
3
3
0
0
1
0
1
1
2
0
3
1
0
0
0
1
3
3
1
1
0
1
0
2
3
3
0
1
3
3
2
2
3
0
2
0
0
0
2
2
3
0
1
1
1
1
3
2
1
3
3
1
0
1
1
1
3
2
0
3
3
3
2
2
3
3
3
2
0
2
0
3
3
3
2
0
3
3
3
0
0
0
0
3
3
3
1
3
3
3
1
3
3
3
3
3
0
3
1
1
2
2
0
0
1
1
2
3
2
3
2
0
2
2
0
2
2
1
2
1
3
0
2
2
2
0
1
3
0
0
3
2
0
1
0
1
1
3
1
1
3
1
1
3
3
3
2
2
0
0
3
2
2
0
2
3
3
2
1
0
1
2
1
1
1
1
2
0
0
3
3
2
3
0
2
0
0
3
1
0
1
3
3
1
1
1
0
0
1
0
1
2
2
2
0
2
0
0
3
0
1
0
1
2
3
1
0
3
2
0
3
1
1
0
2
3
1
2
1
0
0
0
2
3
1
1
3
2
3
1
3
1
1
1
1
0
3
1
2
1
1
3
1
2
0
3
0
0
0
0
1
0
2
0
0
3
3
0
3
2
0
2
1
2
0
3
2
2
0
0
1
1
3
0
1
3
2
3
0
2
2
1
1
3
3
2
3
3
3
1
3
0
3
2
1
2
1
1
1
2
0
2
0
1
1
2
2
2
3
3
3
2
2
1
1
0
3
3
3
3
2
2
2
0
3
3
0
2
1
3
2
2
1
3
1
3
2
0
3
2
3
3
3
2
2
0
3
1
1
1
2
0
3
3
3
0
1
0
3
3
2
0
0
0
0
0
0
1
3
3
1
1
1
0
0
2
0
0
1
3
3
3
3
2
3
0
0
0
0
1
3
2
0
1
3
2
2
1
1
0
3
0
2
3
3
0
2
1
3
3
2
3
3
0
3
0
1
1
1
3
1
0
2
3
3
1
2
2
0
3
0
1
3
1
1
1
1
3
3
3
0
3
1
0
0
3
3
1
1
0
0
3
0
1
1
3
3
3
0
2
2
0
3
2
1
1
2
2
2
1
2
2
0
2
3
0
0
3
2
0
1
2
2
0
0
2
0
3
2
1
1
3
3
1
0
1
3
1
3
2
2
3
3
3
1
2
3
1
1
2
1
1
1
2
1
0
1
0
3
0
2
1
0
1
0
3
2
3
1
0
3
0
1
3
2
0
1
1
3
2
3
0
0
3
1
3
3
1
2
1
3
2
0
1
0
3
1
2
2
2
1
0
1
0
1
1
1
1
1
2
1
0
1
2
2
2
1
1
3
0
2
2
1
3
2
1
2
1
1
2
2
1
0
2
3
0
0
1
3
2
2
2
2
3
3
2
2
2
2
0
1
2
2
3
1
3
3
2
3
3
3
1
2
0
0
3
0
3
1
0
2
0
0
2
1
2
0
3
2
0
0
2
0
1
3
0
0
1
2
3
0
2
3
2
2
3
3
2
3
3
3
0
0
3
0
3
1
1
3
3
2
2
2
0
0
2
3
1
3
1
2
1
2
0
0
1
1
2
3
2
0
0
0
0
1
1
2
0
2
1
1
1
1
3
1
1
1
1
2
0
0
3
0
0
2
0
2
1
2
0
1
0
3
2
1
2
0
3
1
3
1
0
0
1
2
0
2
2
0
1
3
3
2
3
1
2
1
3
3
3
2
0
3
1
1
2
3
0
0
3
2
0
3
3
3
2
2
3
0
2
3
0
3
1
3
1
2
1
3
0
1
1
1
3
2
3
2
0
3
0
3
0
1
0
1
1
1
2
1
2
1
2
0
1
1
3
3
3
2
0
0
1
2
3
0
0
1
0
1
3
0
0
3
0
0
2
3
3
2
2
1
3
0
0
2
0
1
2
3
2
1
1
1
0
1
3
2
1
3
3
0
1
2
1
2
3
0
0
0
2
3
3
3
3
0
0
3
0
3
0
0
2
2
0
1
0
3
0
1
0
3
1
2
1
1
3
0
0
1
1
1
2
0
3
0
0
3
0
3
3
1
1
3
0
0
1
1
2
1
1
0
2
1
3
3
2
3
1
1
0
3
3
1
2
0
0
2
2
1
0
2
1
2
3
1
1
1
1
3
2
3
2
3
2
1
3
0
2
1
1
0
2
0
0
0
3
1
3
2
1
1
1
1
1
3
3
0
1
2
1
2
1
3
0
0
3
1
3
1
1
0
3
0
3
0
0
0
2
3
2
3
0
3
2
1
1
1
3
1
3
1
2
1
0
1
3
1
0
1
1
2
3
2
3
2
1
2
1
0
1
2
2
2
0
2
2
1
2
3
2
3
3
1
3
3
2
1
0
0
1
2
0
0
0
0
3
1
1
3
2
0
1
1
2
3
3
3
0
3
3
1
3
2
3
1
0
0
1
0
3
0
2
0
2
3
0
2
2
1
0
1
2
3
3
3
2
1
2
1
2
1
0
2
2
3
2
0
3
2
3
0
3
3
2
0
0
1
1
3
3
1
3
2
0
0
0
0
3
0
3
3
2
2
0
0
0
0
3
3
3
1
1
0
2
0
1
3
2
3
3
0
2
1
1
0
2
0
2
2
2
1
3
3
3
0
0
2
3
3
2
1
2
2
2
3
1
1
3
2
3
2
0
0
3
3
3
2
0
1
3
1
1
3
2
1
3
0
1
3
2
2
0
2
2
1
0
3
3
1
2
2
1
3
2
0
0
0
2
0
2
1
1
1
0
2
3
1
2
3
3
2
2
0
0
3
3
1
2
0
3
3
2
2
3
3
2
2
3
0
0
2
2
0
0
0
0
1
2
3
3
1
1
1
0
0
3
1
2
2
0
3
2
3
1
0
0
1
0
0
2
3
1
3
1
2
3
3
1
3
0
3
0
1
2
2
1
3
3
3
3
0
3
2
1
2
3
3
1
0
0
0
3
3
1
2
2
2
0
2
3
0
3
2
1
2
0
2
0
3
3
2
3
3
3
3
1
1
3
1
0
2
3
3
0
0
1
1
0
0
1
1
0
0
2
1
1
1
3
3
3
2
2
2
1
1
0
2
3
3
0
3
3
0
3
1
0
3
1
1
0
0
1
2
2
3
0
2
3
2
3
2
0
0
2
2
2
3
1
0
3
1
3
3
3
0
3
0
0
0
0
3
3
1
0
3
3
1
3
0
1
2
2
0
3
1
0
0
0
2
0
3
1
2
2
1
0
1
1
3
0
3
1
3
0
2
3
3
2
2
3
2
3
1
0
0
0
0
0
1
0
1
3
3
3
3
3
0
3
1
3
2
0
0
2
0
2
0
0
1
3
1
1
1
3
3
3
2
1
1
0
2
3
3
0
1
2
1
3
3
0
2
2
3
0
0
1
3
1
0
0
1
0
0
0
3
2
3
2
1
2
2
3
1
3
2
3
2
3
3
1
1
3
3
1
0
3
3
0
3
1
0
2
3
3
0
3
3
3
0
3
1
0
0
2
3
3
3
2
1
0
1
1
2
1
1
0
3
3
1
2
2
2
2
2
1
0
1
0
2
0
2
3
3
0
3
2
1
1
3
2
0
3
3
3
2
1
0
2
0
0
2
1
0
2
1
3
0
3
0
2
2
0
1
2
0
3
2
1
3
2
3
1
1
1
0
2
0
0
3
0
2
0
3
0
0
2
0
3
0
0
0
1
0
1
2
2
0
0
0
3
0
1
1
1
1
3
0
3
2
1
0
0
0
0
0
1
3
0
3
3
0
3
3
0
2
3
2
0
2
0
2
1
1
0
1
1
1
2
0
3
3
3
3
0
1
1
1
1
0
3
3
0
3
3
1
3
0
2
0
0
2
0
3
1
3
0
3
2
3
3
2
3
0
2
0
0
2
1
0
1
1
0
1
0
2
3
3
1
3
1
3
0
3
3
0
2
2
0
3
0
2
2
2
2
0
0
2
0
0
0
1
3
1
2
2
2
3
2
1
1
3
0
1
0
0
0
2
3
2
3
1
2
1
3
0
1
3
1
3
0
1
0
0
0
3
0
2
0
0
2
2
0
1
0
0
2
3
3
0
1
3
3
3
1
3
2
0
0
2
3
2
2
3
3
1
3
2
2
3
1
3
1
2
0
1
0
2
0
3
2
3
1
1
3
0
1
1
0
2
2
3
3
2
2
1
3
3
1
3
3
0
1
0
3
1
3
2
2
2
2
2
0
3
3
3
3
2
3
1
2
3
3
0
0
3
0
0
2
3
0
2
2
2
1
0
1
2
1
1
2
2
0
2
0
0
0
1
3
0
2
3
3
2
2
3
1
1
2
2
3
0
0
0
0
3
2
1
1
0
2
0
3
0
3
1
3
1
0
0
3
1
0
3
1
1
3
3
3
3
0
0
3
1
3
0
1
2
1
2
3
3
2
2
3
2
3
1
2
1
3
1
3
3
2
3
0
0
1
2
2
0
1
0
0
2
1
2
1
2
1
1
1
1
2
1
3
1
2
2
2
2
3
1
2
2
2
0
0
2
1
0
3
0
0
0
3
1
1
3
3
2
2
1
1
2
1
0
1
1
1
2
0
0
3
0
0
0
2
2
3
3
3
2
3
2
3
2
3
0
2
1
3
2
1
1
2
2
0
2
3
3
0
0
1
3
1
3
0
0
3
3
0
3
0
3
2
0
1
3
0
2
0
1
1
1
0
3
1
0
1
3
2
3
3
0
3
3
3
0
1
2
0
0
0
0
0
2
3
2
3
2
1
3
3
3
1
3
3
3
1
2
1
2
3
0
1
3
1
2
2
3
1
1
0
0
0
0
2
1
3
0
3
3
2
1
1
2
0
1
1
2
1
0
1
2
2
3
3
2
3
1
0
1
2
2
1
0
2
3
1
2
3
2
2
1
3
2
3
0
2
0
2
2
1
0
0
0
0
2
0
3
2
0
3
1
3
2
0
2
0
3
3
1
0
3
1
0
1
1
0
3
0
0
3
0
0
2
0
0
0
1
2
0
1
0
3
0
1
3
2
0
3
3
0
3
3
3
2
2
3
3
1
3
1
3
0
3
0
3
1
1
3
3
3
2
0
2
2
2
1
2
2
2
2
3
2
2
3
3
3
3
0
0
3
3
0
3
1
3
1
2
0
3
1
2
1
1
3
3
1
0
0
1
1
3
0
1
1
1
0
2
3
1
1
0
0
3
0
2
1
3
0
0
3
0
0
0
3
1
2
2
0
0
3
3
3
1
3
2
3
2
1
3
2
0
1
0
2
2
1
0
2
1
2
3
3
3
2
0
1
1
0
2
0
3
0
3
3
3
3
0
0
0
2
1
0
3
0
2
2
1
3
3
1
2
3
2
0
3
0
3
3
3
0
2
0
3
0
3
2
2
2
0
2
0
2
2
3
3
3
3
2
0
3
0
0
3
0
3
0
2
2
3
2
1
3
3
1
1
1
0
3
3
1
0
3
1
1
1
1
2
0
2
1
2
2
0
2
2
0
0
3
2
0
1
1
1
0
3
0
3
0
0
2
3
0
0
1
2
1
3
2
0
0
3
0
2
2
1
3
0
3
0
2
3
0
0
0
3
2
1
0
0
1
1
3
1
1
3
3
0
3
2
1
1
3
0
0
0
1
1
0
1
0
3
3
3
1
3
1
3
1
3
0
1
3
1
1
1
3
2
3
0
2
2
2
2
3
3
0
3
3
0
0
1
2
1
0
0
0
3
1
1
1
3
1
1
3
0
3
1
3
2
3
0
2
2
1
2
1
3
2
3
3
3
0
1
3
1
1
2
2
3
3
3
2
2
0
0
0
2
3
3
2
2
3
3
2
3
0
3
3
3
3
1
1
2
2
1
2
1
2
3
0
3
2
0
2
3
0
1
0
0
2
2
1
0
0
0
3
3
2
3
0
2
2
3
0
0
3
1
0
0
1
1
2
2
3
0
3
3
3
3
0
3
2
3
3
0
3
1
1
3
1
2
1
3
0
0
3
3
0
2
1
2
1
1
0
3
3
1
2
3
0
0
0
0
1
1
0
3
2
3
0
0
3
0
3
0
3
3
3
3
1
3
1
3
0
1
0
0
3
0
0
0
0
1
0
3
3
3
0
3
1
1
0
3
2
1
3
3
3
1
0
2
1
1
3
1
0
2
0
0
1
2
3
2
3
1
1
3
3
3
1
0
1
3
1
1
0
0
2
2
2
1
1
2
3
0
1
0
3
3
0
3
3
2
0
0
2
3
1
1
1
3
3
3
3
0
0
0
2
0
0
2
2
3
0
3
0
1
0
0
1
0
0
0
0
3
3
3
2
1
3
3
3
3
3
1
0
2
0
1
3
1
0
1
2
0
1
0
3
1
2
3
2
3
3
3
1
1
2
1
3
3
3
0
0
3
3
1
3
0
1
2
3
2
2
1
3
0
0
3
1
0
3
3
2
2
3
0
1
0
1
0
3
3
0
0
2
0
0
1
1
0
3
1
2
2
1
1
0
3
3
3
2
3
1
3
1
3
3
1
0
2
1
2
1
1
0
2
3
3
1
1
3
3
0
0
2
0
3
0
3
3
3
3
3
2
2
0
3
3
0
0
2
2
1
0
3
3
3
1
1
1
1
3
1
2
2
1
0
2
2
3
3
2
0
1
0
1
0
0
0
0
0
3
0
3
3
3
1
0
0
3
2
2
1
1
1
2
1
2
1
3
2
1
3
0
1
1
1
2
2
1
0
1
3
3
3
2
0
2
2
2
2
1
3
2
2
3
0
3
1
1
0
0
2
0
3
3
3
1
2
0
3
0
1
3
3
3
1
2
3
3
1
1
3
0
2
0
1
1
2
3
1
0
2
0
0
3
1
1
3
2
2
1
0
1
2
3
3
0
1
2
3
0
0
2
0
3
0
2
0
1
3
0
0
2
2
3
2
3
3
1
1
1
3
0
0
0
2
1
3
0
2
3
2
3
3
3
0
2
3
3
0
1
3
0
3
3
1
3
0
2
0
0
3
3
0
2
3
3
2
2
1
3
2
0
0
1
2
2
0
2
0
0
3
2
3
3
3
0
3
1
1
1
3
0
2
2
2
3
1
3
2
0
0
3
3
1
3
0
2
1
1
1
0
1
1
3
2
0
0
1
1
0
2
3
1
2
2
1
0
1
2
3
1
1
3
0
1
0
2
2
2
1
0
0
0
0
0
1
3
3
0
3
2
1
3
1
3
0
1
3
0
3
1
3
1
0
2
1
0
3
0
3
3
3
3
3
3
3
2
2
3
0
1
0
1
2
0
2
3
3
3
0
0
3
3
3
1
1
2
2
2
0
0
3
3
0
1
0
1
1
3
3
3
2
2
2
3
2
3
0
3
2
1
0
0
3
3
2
2
3
3
2
3
3
0
2
2
0
3
0
3
1
0
1
3
3
0
1
2
3
0
2
0
3
1
1
1
2
1
0
0
3
2
0
0
1
0
2
3
0
2
1
2
2
3
0
2
0
0
1
2
0
3
0
2
1
2
1
1
1
1
1
0
0
0
0
2
1
2
1
1
3
1
2
3
3
1
0
3
2
0
1
0
3
3
0
0
2
2
2
1
1
3
3
1
2
2
2
3
1
3
3
0
1
3
3
1
1
1
1
3
2
0
3
1
3
2
1
0
2
0
3
1
2
0
1
3
3
3
1
3
3
3
0
2
1
3
0
1
2
1
2
2
0
1
1
2
1
1
0
0
1
3
3
1
0
3
0
0
3
0
3
0
3
3
1
3
0
3
3
2
1
0
0
1
1
3
3
3
0
1
0
1
3
2
0
3
0
0
0
3
1
3
3
0
1
3
3
3
3
3
2
1
3
3
3
1
0
3
3
2
1
3
0
3
3
0
1
2
3
0
3
3
1
2
2
2
2
0
0
0
2
2
0
0
0
1
2
2
3
0
0
0
3
3
1
0
3
0
0
3
3
0
0
3
0
0
1
1
0
1
3
1
2
0
3
1
1
3
0
2
2
1
1
3
0
1
2
3
0
3
0
3
3
0
2
0
0
1
0
0
0
2
1
0
0
2
1
1
1
1
1
2
1
2
2
3
3
3
0
0
0
2
0
1
1
1
2
0
3
2
1
1
0
2
0
2
0
2
2
1
0
3
2
3
2
2
0
0
1
2
3
0
2
1
2
0
2
2
1
3
2
1
3
3
0
1
3
3
3
1
0
2
3
1
1
3
3
0
1
0
0
0
3
0
0
2
1
3
0
3
3
3
3
1
1
3
1
1
0
0
3
3
2
1
2
0
1
1
3
1
2
3
0
2
0
3
1
2
3
3
3
3
3
1
0
3
1
0
2
2
0
0
0
3
3
1
2
1
2
3
2
2
3
2
0
3
2
3
3
1
2
3
3
0
2
3
2
0
0
2
3
2
0
3
3
1
1
1
2
0
1
2
2
0
3
1
2
3
1
3
3
3
1
1
1
0
0
1
2
1
3
1
2
2
2
0
2
1
3
3
0
3
3
0
1
3
3
0
0
0
0
3
3
0
0
0
2
2
3
3
1
3
3
3
3
0
3
1
3
2
0
1
0
3
1
2
2
1
3
0
2
0
0
3
0
2
3
0
0
0
1
3
1
2
0
3
0
1
3
0
3
2
3
0
1
1
2
0
0
3
1
3
1
1
3
0
2
3
1
3
0
2
3
3
3
1
3
2
2
2
0
2
1
1
2
0
0
0
0
3
3
3
3
0
3
0
2
0
1
2
1
0
2
0
1
2
3
2
0
0
3
2
0
3
0
3
2
2
3
3
1
2
2
3
3
3
1
0
0
3
3
0
2
0
0
2
2
0
3
0
0
0
0
3
3
0
0
2
1
3
2
3
1
2
0
1
1
2
3
1
3
1
1
0
2
3
1
2
2
0
3
3
1
3
3
3
0
1
2
0
1
1
2
3
1
1
3
2
3
1
2
0
2
0
0
3
1
1
3
2
0
3
2
3
1
2
1
2
2
3
1
1
2
1
0
3
1
3
1
3
0
3
1
0
0
0
3
2
0
0
0
0
3
2
1
0
0
1
0
0
3
3
3
1
1
0
0
2
0
0
2
2
0
0
1
3
3
3
1
2
3
3
1
2
0
3
2
3
0
2
3
2
3
1
0
1
3
3
0
3
3
0
2
0
0
0
3
3
3
1
1
0
2
2
1
3
0
3
0
1
0
0
0
2
0
0
3
0
3
0
0
3
1
2
1
0
3
1
2
0
2
0
0
2
2
2
2
3
3
2
2
1
2
2
3
3
3
1
0
1
0
3
2
1
2
1
2
2
1
1
3
0
0
3
3
1
3
0
0
2
3
2
1
0
0
2
3
2
2
3
1
0
1
2
2
2
1
2
2
1
2
1
3
3
3
3
1
0
0
1
2
3
2
3
3
0
1
0
1
1
3
0
2
0
0
0
3
2
3
1
0
2
0
1
1
0
0
3
1
3
2
0
3
3
3
0
3
1
1
3
3
0
2
2
2
1
2
2
3
3
3
1
3
3
3
1
1
0
0
0
0
0
3
0
0
2
1
1
3
0
0
0
1
1
0
1
0
0
1
0
1
0
1
3
3
3
3
0
0
0
0
1
0
3
3
1
0
0
2
1
2
0
3
3
3
2
2
3
0
0
3
0
1
3
1
1
3
3
0
2
3
3
0
3
3
1
0
3
3
1
0
3
1
1
3
0
3
3
1
1
2
0
2
2
1
3
0
2
3
3
2
3
1
0
0
3
1
3
2
2
0
1
0
3
3
3
1
3
0
2
3
2
2
1
3
0
1
1
3
1
0
3
0
3
0
1
0
3
0
2
0
3
0
2
0
3
3
1
0
0
3
0
3
2
2
1
3
3
3
3
3
2
0
0
2
0
2
2
2
3
2
2
3
0
1
1
3
2
0
2
3
3
0
3
2
2
3
3
2
3
3
1
3
3
1
3
3
3
0
2
1
3
2
0
0
0
1
0
1
1
1
0
3
0
3
1
0
3
3
2
3
3
3
1
0
1
1
0
2
1
2
0
0
0
1
1
1
3
3
0
3
3
1
3
0
1
3
3
2
3
2
0
0
2
3
3
2
1
0
2
0
1
1
2
2
1
2
0
2
3
3
3
0
0
1
0
0
1
3
0
1
0
0
0
2
2
0
0
3
3
3
3
3
1
2
1
1
1
3
1
1
0
0
1
2
1
2
0
3
0
0
0
1
3
3
1
1
0
2
0
2
2
2
3
3
1
0
3
1
3
0
3
1
3
0
3
2
0
3
2
1
3
1
3
0
3
2
0
3
1
1
1
1
0
0
0
2
0
3
1
3
2
2
0
0
2
0
1
2
3
3
3
0
1
2
2
2
3
0
3
0
3
0
2
2
3
1
3
3
0
0
3
2
2
3
2
2
0
3
0
3
1
0
3
2
0
0
0
1
3
2
2
2
0
1
1
0
1
0
1
0
3
2
1
3
2
3
3
0
2
3
2
0
2
2
1
0
0
3
3
3
1
2
3
2
3
3
1
0
1
1
2
3
2
3
0
3
0
0
3
3
3
3
3
0
0
0
1
0
1
3
2
1
2
1
1
0
0
1
1
2
2
1
0
1
1
0
3
1
1
1
3
1
3
3
0
3
1
2
0
0
3
1
0
1
1
3
1
1
3
0
0
1
3
0
3
0
1
0
3
3
1
0
3
2
1
0
0
0
3
1
2
1
2
2
3
2
3
0
0
0
3
3
3
3
2
1
1
0
3
2
1
2
0
3
1
3
3
0
0
2
0
3
0
3
3
3
3
3
1
1
1
1
2
1
2
2
3
2
0
0
2
0
0
3
1
1
1
1
0
1
0
2
3
2
2
1
2
3
0
3
0
1
0
2
1
3
2
2
1
1
0
3
1
3
2
2
0
1
3
1
1
0
0
0
3
1
1
1
1
1
1
0
1
2
0
3
2
0
1
1
0
3
3
2
1
2
3
0
1
1
0
2
0
2
0
2
0
1
2
0
0
1
2
0
1
1
3
3
1
3
3
2
2
2
2
0
2
3
1
3
0
0
2
3
0
1
2
0
0
0
3
3
2
0
3
0
3
3
1
2
2
0
0
1
3
3
3
0
3
0
3
1
2
3
3
2
2
3
3
0
1
2
1
3
2
1
3
3
0
3
2
3
3
2
2
1
2
2
2
3
2
3
2
0
2
3
0
0
2
3
1
3
1
2
0
1
3
3
1
0
2
1
3
2
3
1
1
0
2
3
1
3
2
2
1
1
3
0
0
2
2
3
0
0
1
2
3
0
3
2
3
3
1
3
3
0
2
2
0
3
0
0
1
3
2
2
1
3
3
1
2
1
0
1
0
0
2
2
3
0
3
0
0
2
2
1
2
1
2
3
3
1
0
0
2
0
3
3
1
2
0
2
3
0
2
3
3
3
1
1
2
1
3
3
0
3
3
3
1
1
0
0
0
2
1
1
1
3
2
0
0
0
1
2
0
0
1
1
3
1
2
0
3
3
3
3
1
2
3
3
2
1
3
1
3
3
1
0
1
1
0
1
0
0
0
3
0
0
3
3
3
3
1
3
3
0
0
0
1
2
1
0
1
0
0
2
2
1
1
1
1
0
1
2
0
1
1
3
3
1
3
3
3
2
0
1
0
0
0
3
3
1
2
1
3
2
1
1
3
1
1
3
0
3
2
3
0
2
1
1
0
0
3
2
1
1
0
1
0
0
0
1
2
2
2
2
1
2
3
1
3
3
3
3
0
0
1
0
2
1
3
3
2
2
3
1
1
1
3
0
1
1
3
1
1
1
2
3
3
1
3
0
0
0
1
3
2
0
1
3
2
0
1
3
2
0
0
2
3
2
0
3
2
1
2
1
0
3
3
2
2
1
1
1
1
1
3
2
2
1
2
0
3
1
3
2
1
1
0
2
0
3
3
3
1
1
0
2
3
0
2
1
3
1
1
2
1
3
0
0
0
1
2
0
3
0
3
2
1
0
2
2
1
3
0
1
3
2
1
3
1
1
2
1
3
3
3
0
3
0
2
2
3
3
3
3
0
0
1
1
1
1
2
3
2
3
1
0
2
2
1
2
1
2
0
2
2
0
2
0
2
1
2
1
3
1
1
0
1
3
0
1
0
2
1
1
2
0
2
1
3
1
1
0
3
1
3
3
3
3
0
0
3
2
1
0
0
3
1
3
1
3
0
3
3
3
1
2
3
1
2
1
1
0
2
2
2
2
1
3
0
0
3
0
1
1
2
0
0
2
1
3
1
1
0
1
3
2
0
1
3
2
0
3
0
2
3
3
2
1
3
0
3
1
3
3
2
1
1
1
1
1
1
0
2
2
1
0
1
3
0
3
3
2
3
3
0
1
2
0
0
2
0
1
1
2
0
1
1
1
0
1
3
2
3
3
1
3
2
1
0
3
1
1
2
1
1
1
0
2
2
3
0
3
3
3
1
3
0
3
3
0
1
1
3
3
2
2
2
2
0
2
1
0
1
0
3
0
3
0
3
3
0
0
0
1
3
3
0
0
1
1
0
0
3
2
0
3
1
0
0
2
2
1
2
1
0
3
2
1
0
2
2
3
1
1
3
2
3
0
1
3
1
0
3
3
1
3
0
2
2
3
0
0
3
0
0
3
1
3
3
0
3
1
1
1
3
2
3
3
3
0
0
0
1
0
0
1
2
2
2
0
0
1
3
1
1
1
3
0
0
1
1
0
3
2
1
1
3
0
2
2
2
0
0
3
3
1
2
0
3
0
3
1
0
3
0
2
2
3
2
1
0
3
3
3
3
0
2
1
0
1
0
1
1
3
0
0
0
3
3
3
0
0
2
0
0
1
3
1
1
3
0
2
2
2
0
2
2
1
3
3
1
0
0
0
3
2
2
1
3
2
1
1
0
0
3
3
3
3
2
3
1
3
0
1
3
3
1
1
1
1
3
0
2
2
1
3
0
3
2
0
3
3
3
3
2
1
1
3
3
1
1
2
0
3
1
1
3
2
1
0
1
3
3
0
3
1
2
0
0
3
1
0
1
1
2
3
0
1
1
2
0
1
3
2
1
2
2
3
3
1
3
1
1
3
3
0
3
1
3
3
2
1
3
2
3
0
0
2
2
1
1
1
2
0
1
0
3
3
3
0
0
0
2
3
3
1
0
0
1
0
2
0
2
0
3
3
3
1
1
3
3
3
3
1
1
0
3
3
0
3
0
0
1
3
1
3
2
1
3
3
1
3
3
1
2
2
3
1
1
1
2
2
0
0
1
2
3
3
3
0
3
3
3
1
1
0
1
2
2
1
2
0
3
2
2
0
2
2
0
2
3
2
3
0
1
1
2
3
0
1
0
3
1
1
0
0
1
0
1
2
2
0
3
2
0
0
2
2
3
0
0
1
1
3
3
0
3
0
1
0
0
1
3
3
0
3
1
1
1
2
2
0
1
3
3
2
0
1
0
3
3
3
3
2
2
1
3
3
1
0
3
3
1
3
2
3
3
1
0
3
2
2
0
1
0
3
2
0
3
0
0
3
2
1
0
2
0
0
3
0
0
1
1
3
0
1
1
2
2
1
3
2
1
3
3
3
1
0
0
2
0
0
3
3
1
1
3
1
3
3
1
3
0
0
3
3
2
0
3
2
2
3
1
1
2
1
2
0
0
1
1
1
2
0
1
1
0
1
3
1
1
3
2
0
3
3
1
0
3
2
3
1
1
0
2
0
1
3
0
3
3
0
1
0
0
0
1
2
2
1
1
0
1
0
1
1
0
1
2
2
2
3
2
1
0
1
2
1
3
0
1
3
3
1
0
1
1
1
2
0
1
2
0
1
3
0
2
2
3
1
2
2
3
1
0
3
2
1
0
1
0
2
1
0
3
0
1
0
3
1
3
1
1
1
2
3
2
1
3
2
3
0
3
2
3
3
0
0
0
1
2
3
2
0
0
1
2
1
3
2
2
3
0
0
0
1
0
0
2
0
3
3
0
0
1
2
3
3
0
1
3
3
0
3
1
1
1
3
1
0
1
2
1
0
2
2
3
2
3
1
1
1
3
2
1
3
0
2
2
0
2
1
1
3
3
1
2
1
3
3
1
3
1
3
1
2
3
2
1
3
3
3
3
0
0
2
0
0
1
0
2
2
3
3
2
1
2
2
0
3
1
2
2
0
1
1
0
1
3
0
3
0
3
3
0
0
2
0
1
0
3
2
1
2
0
1
1
1
1
0
0
0
1
0
3
3
1
3
1
3
0
0
3
0
0
3
3
2
2
0
3
2
0
0
1
0
3
0
3
0
1
3
2
2
3
1
3
0
0
3
3
0
0
0
2
1
0
2
1
2
3
1
2
0
0
2
0
2
3
1
1
3
0
2
0
0
0
3
2
3
2
2
2
0
2
3
1
0
0
0
1
1
3
2
3
3
2
1
0
3
3
0
3
3
0
2
0
0
1
1
1
1
1
1
3
1
0
0
3
0
0
0
1
2
3
3
1
2
0
0
0
0
1
0
3
3
1
1
1
2
0
1
2
2
1
3
2
3
2
2
2
1
2
2
2
3
2
1
1
1
2
2
0
3
0
0
0
3
3
0
0
2
2
3
3
1
0
3
1
2
2
1
0
0
0
0
2
1
1
1
0
1
3
1
3
0
3
0
3
0
1
0
2
3
0
1
0
3
2
0
0
0
0
1
0
1
1
2
0
2
2
0
0
3
3
3
1
1
0
3
3
2
1
3
1
3
3
0
0
0
3
2
3
1
1
3
3
3
2
0
0
0
3
2
1
3
3
3
3
1
2
0
1
1
2
0
2
2
2
3
0
2
3
0
0
3
0
2
1
0
0
3
0
3
0
3
3
2
1
0
0
3
3
0
0
1
0
3
3
2
1
2
3
2
0
3
3
2
1
1
0
0
3
2
0
0
1
3
3
3
2
2
1
2
0
2
2
3
1
2
3
2
2
3
2
0
2
3
3
2
2
0
2
1
1
0
0
2
0
2
0
1
1
0
3
3
0
1
0
2
3
1
0
1
2
0
1
3
2
0
3
2
3
1
0
2
1
2
0
3
0
3
1
0
1
2
1
3
3
3
1
2
0
0
1
2
2
3
1
0
2
3
2
2
3
3
1
1
0
3
3
3
0
3
2
0
2
2
3
1
0
2
2
0
0
1
3
3
1
1
2
1
0
0
1
2
3
0
3
0
0
2
0
1
3
3
1
0
0
2
0
0
3
1
2
1
0
0
2
1
0
2
3
3
3
3
0
0
3
1
3
3
2
0
1
1
3
0
1
0
1
1
1
3
1
1
3
3
2
1
2
0
2
1
0
1
1
1
3
1
1
1
3
0
2
2
3
0
0
1
3
1
0
0
0
1
2
2
1
0
3
2
3
3
1
3
2
1
2
1
3
3
0
3
1
3
2
3
1
2
2
2
0
1
2
2
0
0
1
0
2
0
3
3
1
0
3
2
1
0
2
1
2
3
2
0
0
3
3
0
1
3
2
3
3
0
1
1
2
1
0
3
2
0
2
2
2
1
3
3
0
0
3
2
0
3
3
2
1
3
0
1
2
3
3
3
3
3
3
1
3
0
3
3
3
0
3
1
1
3
2
0
1
0
3
1
1
3
0
0
0
2
3
0
3
2
1
3
3
1
2
1
1
3
3
1
3
3
1
0
3
3
0
1
2
0
0
2
2
0
1
2
2
2
1
0
0
1
2
0
0
1
1
0
3
3
1
1
0
1
3
1
1
2
2
3
3
3
2
2
3
0
0
1
1
3
2
1
2
3
3
2
0
2
0
0
0
0
0
3
3
0
0
2
0
2
0
1
0
2
0
1
1
2
3
3
2
3
3
0
0
1
1
0
0
1
1
2
1
3
3
1
1
0
0
3
1
3
0
0
2
1
3
0
3
0
2
1
0
3
3
3
1
1
1
0
2
1
0
2
3
2
1
3
2
2
2
1
1
1
0
1
3
2
3
3
3
1
3
1
1
1
3
0
1
0
3
3
1
2
0
0
3
3
3
1
1
1
2
3
0
0
2
2
1
0
3
1
2
1
3
0
3
1
2
2
3
0
3
1
3
1
2
3
1
2
0
1
1
0
0
3
0
3
3
3
0
2
1
0
0
0
3
0
3
2
1
0
3
1
0
3
0
1
0
3
1
0
0
3
0
1
2
2
1
3
3
2
3
0
1
1
1
0
3
2
3
3
3
3
3
1
1
1
2
3
3
1
3
0
2
1
1
2
2
2
0
1
3
0
3
3
3
3
0
1
2
1
1
0
2
3
0
3
3
0
1
0
3
3
3
3
3
3
2
2
1
1
2
3
3
2
2
0
2
2
2
1
1
0
1
3
1
3
2
0
0
0
0
1
2
3
0
0
0
0
3
1
3
0
2
2
2
3
1
0
3
1
1
1
0
0
1
1
3
2
0
3
1
2
0
1
3
3
0
0
1
1
1
3
3
1
3
1
3
1
1
1
2
1
0
2
1
3
0
2
0
1
1
0
2
1
0
3
3
2
0
2
3
1
0
2
3
3
0
0
1
0
0
1
2
1
2
2
1
3
3
1
2
0
0
0
1
0
3
1
1
1
1
3
0
3
1
3
1
1
1
0
2
0
3
1
2
3
3
2
0
2
3
1
0
3
1
0
1
2
3
1
0
2
1
0
0
2
0
2
3
0
2
0
1
1
2
3
3
0
2
0
2
2
2
3
0
1
1
2
0
1
2
2
3
0
1
1
1
1
1
2
0
2
2
1
2
2
1
0
3
2
3
3
1
0
0
1
2
0
3
1
2
3
0
1
0
0
0
1
3
2
3
0
0
3
3
2
0
0
3
0
3
3
3
2
3
2
0
3
3
1
2
1
3
1
3
1
0
3
3
2
0
0
0
0
1
0
0
1
0
3
0
3
1
0
2
2
1
1
2
1
1
3
0
3
2
2
3
2
2
1
0
2
2
3
1
0
0
0
3
0
2
2
2
2
0
0
0
1
2
1
3
1
3
0
3
0
2
0
3
2
3
0
0
1
1
3
0
3
3
2
3
1
0
3
2
3
3
1
0
1
1
3
0
1
3
3
3
3
2
2
1
3
2
3
2
1
1
2
1
0
0
2
2
3
1
2
2
2
3
3
2
2
2
2
2
0
0
2
3
1
0
3
2
3
0
0
1
2
1
3
1
1
1
2
1
3
0
2
2
0
3
1
3
0
3
1
0
1
3
3
3
3
2
3
2
0
1
3
0
0
0
0
1
3
3
2
3
3
1
2
1
0
1
3
3
0
2
0
3
2
3
1
3
1
3
1
0
3
1
3
3
0
1
3
3
0
3
0
2
2
0
3
1
0
0
2
2
1
3
0
1
1
1
1
1
1
2
1
0
1
0
1
3
0
0
0
0
0
1
0
0
2
3
1
2
3
3
3
3
1
0
0
3
0
3
2
2
0
2
2
0
3
0
3
3
0
1
0
3
1
0
0
0
1
1
1
0
3
0
3
0
1
0
3
1
3
2
1
3
3
3
3
0
0
3
3
3
2
0
2
1
0
3
0
3
3
1
2
3
2
1
2
2
2
1
0
3
3
3
1
1
1
2
3
0
0
0
3
0
3
3
2
2
0
1
1
1
3
3
1
3
2
2
1
0
2
0
3
3
1
0
0
2
0
1
2
2
2
0
0
3
3
3
0
0
2
3
2
0
1
3
2
0
2
0
2
0
0
3
2
3
3
0
2
2
1
0
2
2
3
3
1
0
1
0
1
3
1
0
3
0
1
0
3
3
3
2
2
0
0
2
1
3
1
2
2
3
0
0
3
1
3
3
3
3
3
3
0
3
1
2
1
3
0
2
0
0
0
3
2
3
2
0
2
0
3
3
0
3
1
1
3
0
3
1
1
0
3
0
3
0
2
2
0
3
1
1
2
0
1
1
3
2
3
3
2
2
3
1
1
0
2
3
2
3
0
2
3
3
2
0
2
0
1
0
2
0
2
0
3
2
1
2
0
1
2
2
2
2
2
1
0
0
1
2
2
3
2
3
3
3
2
0
3
2
1
3
3
2
0
2
2
0
3
1
3
3
3
2
2
3
2
0
1
2
3
2
2
3
3
3
3
3
2
3
1
2
0
3
0
0
1
0
3
1
3
3
3
3
2
3
2
0
0
3
0
2
3
3
0
3
1
3
3
2
2
1
1
3
2
2
1
0
0
3
0
0
1
0
1
1
3
3
0
2
2
1
2
3
0
2
2
3
3
3
0
1
1
3
3
1
3
3
3
0
1
1
3
2
0
3
1
1
2
3
3
0
0
2
3
1
2
2
0
0
0
3
3
0
3
3
3
3
0
0
0
1
3
0
0
2
2
1
0
0
2
0
1
1
2
2
1
0
0
2
3
3
2
2
2
3
2
1
3
0
1
1
1
2
0
0
1
1
3
3
3
3
0
0
0
1
0
2
2
0
1
0
0
2
1
1
2
2
0
3
1
1
0
0
0
2
0
1
0
0
1
1
0
2
3
0
3
0
2
3
0
1
3
1
3
3
3
0
1
0
2
1
0
2
3
2
3
2
3
2
3
1
2
2
1
1
0
2
2
2
0
0
2
2
1
3
0
1
2
0
2
3
1
1
2
1
1
3
2
0
1
1
0
3
3
2
1
1
2
3
3
1
0
3
2
3
1
1
1
0
0
0
1
3
0
0
1
3
2
3
3
0
0
0
0
3
3
3
3
1
2
2
2
1
2
2
0
0
2
2
0
1
1
3
0
1
3
2
3
0
3
1
0
3
2
3
3
2
0
2
3
1
3
1
3
3
1
0
3
1
3
3
1
1
1
1
0
2
1
1
0
3
0
0
3
1
0
3
1
0
1
1
2
1
2
0
3
0
1
2
1
3
3
3
3
3
2
1
1
0
1
3
0
2
0
3
3
0
3
1
1
0
0
1
1
0
3
3
1
1
2
2
1
0
0
0
1
3
1
3
0
3
2
3
1
3
1
3
0
1
0
1
0
3
2
1
3
2
2
2
1
1
2
2
2
3
2
2
3
0
1
1
1
0
2
3
3
2
2
0
2
0
3
3
1
3
1
3
1
1
0
3
2
2
1
3
0
0
1
0
2
1
0
3
0
2
1
2
2
3
0
3
3
2
3
0
1
0
2
1
2
3
3
1
2
3
3
0
0
1
1
3
2
2
0
0
0
3
1
2
0
2
0
1
0
1
3
0
0
1
3
3
1
2
3
1
2
3
1
3
0
2
0
3
1
3
3
3
0
1
3
3
2
3
1
1
1
0
1
3
1
3
0
3
0
0
2
2
1
1
0
3
0
0
3
2
0
1
0
1
3
2
1
0
3
0
0
0
3
2
0
1
1
3
2
2
2
2
3
3
0
2
2
0
3
1
0
3
0
3
0
3
2
3
1
0
1
2
1
0
3
1
1
2
3
1
1
0
1
3
3
2
0
3
2
1
1
0
2
0
0
1
3
2
3
0
0
1
2
0
2
3
0
3
3
1
3
1
1
2
0
3
3
0
3
0
3
3
3
0
2
0
3
0
1
0
3
2
1
3
0
3
3
0
3
2
1
0
2
0
0
3
0
2
3
2
0
3
1
3
0
1
3
1
1
2
0
2
0
0
2
1
3
2
0
3
2
3
1
0
3
3
3
0
0
2
3
1
0
2
2
0
1
3
1
3
2
1
0
2
3
3
1
1
0
0
0
1
1
1
3
2
1
1
0
0
3
2
2
3
2
2
2
0
3
2
2
0
3
0
0
0
1
1
3
0
3
2
3
1
0
0
2
0
0
2
1
3
0
0
0
2
2
1
1
0
2
3
0
2
1
0
2
0
3
1
3
0
2
1
0
0
1
1
3
1
2
3
0
3
3
3
2
3
2
2
1
2
3
2
3
3
0
0
3
3
3
1
2
1
0
2
0
0
3
2
1
1
1
3
3
0
2
0
3
1
2
3
0
2
2
2
0
0
3
0
1
3
1
0
3
0
2
2
1
0
1
3
3
1
3
3
0
1
2
3
1
2
0
3
0
1
2
0
1
0
3
3
2
3
1
3
3
0
2
1
2
0
3
1
2
3
3
0
2
3
0
1
1
1
3
1
2
2
3
0
2
3
3
3
3
2
2
0
0
1
0
0
1
1
3
1
3
3
0
1
1
3
0
1
0
2
1
1
1
3
3
0
0
3
1
3
0
3
3
3
0
1
0
0
0
2
3
2
1
3
3
0
2
2
3
3
0
1
0
3
1
1
3
0
0
1
0
2
1
0
0
1
1
3
1
3
1
2
3
2
3
2
1
3
3
1
1
1
2
0
0
1
3
2
2
3
3
3
3
0
1
2
3
1
1
3
0
0
3
2
2
0
2
3
3
3
3
1
1
3
0
3
1
3
1
1
2
0
3
1
3
3
3
3
0
1
1
2
0
0
0
1
3
2
1
1
3
1
3
3
0
1
2
1
3
0
3
3
3
1
2
0
1
0
1
2
3
3
1
3
3
3
0
0
0
0
2
0
3
3
3
3
3
0
1
3
0
1
0
0
3
0
0
1
3
3
0
2
2
3
1
2
3
0
1
1
1
0
3
3
3
2
0
3
0
1
3
3
3
2
2
2
2
0
1
0
3
2
3
2
3
2
0
2
3
0
3
2
2
0
1
3
1
1
2
1
2
1
1
0
0
2
3
0
0
2
3
0
1
2
2
3
0
2
1
2
1
3
0
3
1
3
0
0
1
1
0
2
0
3
2
1
1
3
3
0
1
3
2
1
3
3
0
2
0
0
0
1
0
2
1
3
1
0
3
0
0
3
2
3
0
3
2
3
1
0
0
0
2
1
2
2
3
3
3
1
3
2
2
1
0
1
0
0
0
3
1
0
0
0
1
0
2
3
0
3
3
2
2
3
2
2
3
0
3
3
1
2
2
2
0
0
0
3
2
2
0
3
3
2
1
1
1
3
0
3
1
3
3
2
2
2
1
1
1
2
3
1
3
0
3
0
0
0
0
2
2
1
1
2
3
1
3
1
3
0
1
1
2
2
1
2
2
1
0
0
3
0
1
0
1
1
1
1
3
0
0
2
3
3
3
3
0
3
0
3
3
0
1
0
1
1
1
2
1
2
3
1
1
1
3
0
2
3
1
3
2
1
1
2
2
2
2
3
3
0
1
1
1
0
3
1
3
3
0
1
3
0
3
3
3
3
2
1
1
3
0
0
3
3
3
3
2
2
3
2
1
0
1
1
3
2
0
0
2
2
0
1
2
3
2
3
3
3
3
3
0
0
0
1
0
1
0
2
1
3
3
3
2
3
0
2
2
1
2
0
1
2
0
0
1
1
1
1
1
0
3
2
2
2
2
3
0
0
2
3
2
2
0
0
1
0
3
3
3
1
3
3
2
2
1
3
3
1
2
3
0
3
0
1
1
0
3
3
3
1
3
2
2
1
3
1
3
3
0
3
1
2
1
3
2
0
1
2
1
2
3
0
0
0
1
1
0
3
3
3
2
1
2
1
3
1
1
3
2
0
0
2
0
3
2
1
2
1
2
3
2
3
2
2
2
3
1
0
2
2
2
3
0
1
0
0
3
3
3
0
1
3
1
1
3
3
0
2
0
0
3
1
1
2
0
3
2
1
1
1
1
1
3
2
2
2
1
0
0
3
1
2
1
3
3
2
0
3
2
0
0
3
0
1
1
2
0
2
1
0
2
1
2
2
0
3
3
1
3
0
0
3
3
0
3
1
0
1
0
1
1
3
2
0
3
1
2
3
3
2
3
3
2
3
3
1
0
1
3
0
1
1
3
3
2
2
1
1
1
0
0
3
3
3
1
1
3
3
0
1
3
3
2
2
1
2
2
1
2
2
2
2
2
0
1
1
0
0
1
1
0
2
2
0
1
3
1
3
2
0
2
3
3
3
0
2
1
2
3
2
2
2
2
2
2
3
0
1
0
3
2
3
3
3
1
2
0
2
2
2
3
0
3
2
3
2
2
3
3
3
3
1
0
1
2
3
2
0
1
2
1
3
0
2
1
2
1
1
3
0
1
2
3
0
2
3
2
3
1
3
0
3
3
2
2
3
2
1
1
1
2
3
1
1
2
2
0
2
0
0
3
1
0
3
2
2
3
3
3
2
2
3
2
0
2
1
0
1
3
3
2
2
2
0
0
2
3
3
3
3
2
2
2
1
3
1
0
2
2
2
3
2
3
3
3
3
1
0
2
1
2
2
0
2
2
1
0
0
3
2
1
0
1
1
0
3
1
1
1
3
0
3
3
0
3
0
2
3
2
0
0
0
1
1
1
1
1
3
0
2
2
0
1
1
3
0
1
3
2
2
0
0
2
1
2
1
2
2
0
0
1
2
2
1
3
3
2
1
3
1
1
2
1
1
3
0
0
0
1
1
2
3
3
3
3
3
3
3
3
3
0
0
0
2
0
0
2
3
0
2
3
3
3
1
2
3
0
1
3
2
2
1
1
0
0
1
1
3
0
3
3
3
0
3
3
2
2
1
2
3
3
3
0
0
0
3
0
2
1
3
0
3
2
2
3
2
2
3
2
3
0
2
2
3
3
2
3
1
1
0
2
2
0
1
0
3
1
1
2
3
2
3
3
2
2
1
0
1
0
0
3
3
0
1
3
3
2
2
3
1
3
2
0
0
3
3
0
0
0
1
1
2
3
1
3
2
2
1
3
0
1
3
2
1
1
0
3
2
1
1
1
3
3
3
1
1
1
3
3
2
0
1
1
1
2
0
3
1
1
3
0
1
1
1
0
1
3
2
1
3
1
0
1
0
1
1
0
1
2
2
2
3
1
2
3
0
2
1
1
3
3
0
1
1
1
1
3
0
0
1
0
0
3
1
0
0
1
3
3
0
0
2
1
0
0
2
3
0
1
0
0
1
1
3
0
3
1
2
3
1
2
3
1
1
1
3
0
2
2
3
2
3
3
1
3
2
0
0
1
1
2
0
2
3
1
3
2
1
3
2
2
0
2
2
2
3
1
0
3
2
3
1
1
0
3
0
3
2
1
1
2
2
1
3
1
2
1
1
1
2
0
2
2
1
2
2
1
3
2
3
0
2
0
3
3
1
0
1
3
2
0
0
0
0
3
1
1
1
0
0
1
1
2
1
3
1
2
3
3
2
3
1
1
1
1
1
3
0
0
3
3
1
1
3
3
0
3
3
0
1
2
0
2
3
3
3
3
0
3
3
1
1
1
0
3
3
2
0
2
0
3
2
1
1
3
3
1
1
3
3
2
2
1
3
2
3
3
1
2
3
3
0
1
3
1
2
3
1
2
2
3
0
0
1
3
2
1
1
3
3
3
3
1
1
1
1
3
3
2
1
1
2
0
0
3
2
1
3
3
1
3
1
2
3
2
1
2
1
2
1
2
0
2
3
2
3
0
1
3
0
3
3
3
0
1
3
1
0
0
0
0
1
1
2
3
2
0
0
3
0
0
3
0
0
0
0
3
2
0
3
0
1
2
2
0
2
2
1
2
3
3
3
0
3
3
1
0
1
0
1
2
3
1
1
1
1
0
2
3
3
3
0
0
3
1
1
0
0
0
1
3
0
2
2
1
0
0
1
3
3
1
2
1
0
2
0
3
0
1
1
3
3
1
0
3
1
3
2
1
1
2
2
3
1
3
2
1
2
0
3
1
1
0
0
3
1
0
2
1
0
0
1
3
3
0
2
0
1
0
0
2
2
1
1
0
2
0
0
1
3
3
0
1
3
2
2
3
2
3
0
2
3
0
2
0
1
2
1
3
1
3
2
2
1
2
3
3
1
1
3
0
0
2
2
2
3
2
3
3
3
0
1
0
2
0
1
1
1
1
3
3
3
2
3
2
3
2
3
2
1
3
1
3
3
0
2
2
1
2
3
2
2
2
1
2
0
3
2
0
3
1
0
0
1
3
3
1
2
0
0
0
2
1
2
1
1
0
0
2
3
0
3
3
3
3
0
2
2
0
0
1
3
1
2
1
0
0
0
0
0
2
0
1
0
2
2
3
1
1
3
3
0
2
3
3
2
3
3
3
1
2
2
0
3
3
3
2
2
1
1
0
3
1
3
3
2
2
0
2
0
3
0
3
1
2
1
3
2
0
3
2
2
0
2
2
3
3
1
0
0
1
2
2
1
1
2
1
2
0
0
1
0
0
3
3
3
3
1
3
3
2
2
1
3
3
1
0
1
3
0
1
1
2
3
2
3
3
3
1
0
3
3
1
1
3
3
2
2
2
2
0
0
2
3
2
3
3
1
3
1
1
3
1
2
3
1
2
1
1
0
2
0
3
1
3
3
3
3
1
0
1
2
0
0
1
0
3
0
0
1
3
2
0
3
3
3
2
1
1
0
1
2
2
1
1
2
0
3
2
2
1
2
1
3
0
3
0
0
0
0
2
1
3
2
2
2
2
2
1
1
0
0
1
2
3
1
2
3
3
0
3
2
0
3
1
2
0
0
3
1
1
3
1
2
1
0
0
3
2
3
3
3
3
2
3
3
3
2
3
0
0
0
3
0
2
2
1
1
2
0
1
2
0
2
0
1
1
3
1
1
1
3
3
1
3
0
0
3
3
1
3
2
0
3
1
1
1
3
2
0
0
1
0
0
3
1
1
2
3
3
3
0
0
2
1
0
3
1
3
0
0
2
0
1
3
3
1
1
0
1
2
2
1
1
3
0
3
0
3
0
1
3
2
3
0
0
1
2
3
1
2
3
3
2
3
0
2
3
0
3
0
1
2
1
2
1
1
3
1
1
1
1
1
0
3
2
3
1
1
1
1
1
2
0
1
3
2
3
2
0
0
0
1
3
3
3
0
2
3
1
2
1
3
3
2
0
3
1
2
2
0
0
1
2
2
3
2
2
1
0
3
0
2
2
3
2
0
1
0
2
1
3
3
0
1
1
1
1
2
3
1
2
2
0
3
1
1
0
3
0
1
0
2
3
3
3
2
3
1
1
0
2
0
0
3
1
2
0
0
0
1
0
0
2
1
1
1
3
2
0
2
3
0
3
1
1
3
0
1
3
2
1
2
1
2
2
0
3
0
1
1
2
3
1
0
3
0
0
3
0
1
0
0
1
2
0
1
3
0
1
3
3
2
0
3
0
2
0
2
3
3
0
1
3
3
3
3
2
3
3
1
3
0
0
0
2
1
1
0
3
3
1
0
1
2
0
0
3
0
3
0
0
0
3
3
2
0
3
0
0
2
1
3
2
0
1
3
1
1
3
3
3
3
3
2
0
1
2
0
3
0
3
3
3
3
3
2
1
0
2
0
2
1
0
1
1
0
1
2
2
2
3
1
1
0
0
1
3
2
3
0
1
0
1
0
0
1
1
2
3
3
3
1
1
2
2
2
2
0
3
3
1
3
2
1
0
1
1
1
3
1
3
1
0
1
0
1
3
2
3
1
1
3
3
1
3
0
0
0
0
2
0
0
3
1
2
3
0
2
2
0
2
0
0
1
0
0
1
3
3
3
3
0
3
3
0
1
0
0
3
1
0
0
3
1
2
3
1
3
0
0
3
3
0
1
3
0
2
1
3
2
3
2
2
2
3
0
0
2
2
1
3
1
2
1
2
2
1
3
3
3
3
1
3
0
1
0
2
0
0
0
1
3
0
3
3
3
0
0
1
2
1
1
3
2
0
1
1
3
0
3
3
0
2
2
0
3
1
1
2
0
1
2
3
3
3
3
2
2
0
3
2
1
0
2
2
0
1
2
3
3
1
0
1
2
3
3
0
0
0
0
0
3
2
2
0
1
0
2
1
2
1
0
0
0
1
2
3
3
3
2
2
1
0
1
1
2
2
1
1
1
2
3
3
3
1
0
0
0
2
2
2
3
0
0
1
2
1
1
1
0
1
3
2
3
3
0
3
3
3
1
2
1
2
2
0
0
3
3
2
3
1
1
3
1
3
3
3
0
3
2
1
1
0
1
2
3
1
2
3
0
2
2
0
2
1
0
1
1
1
2
1
0
1
0
1
1
1
0
2
2
1
3
3
1
3
0
3
1
1
2
2
2
0
1
1
2
3
1
0
3
1
0
2
1
3
1
2
3
1
3
0
3
1
2
0
3
2
1
1
3
2
0
0
2
0
0
2
1
1
2
2
1
0
0
0
2
2
3
2
0
1
3
3
0
3
1
1
3
2
2
2
2
3
0
0
1
3
2
1
0
0
1
1
3
3
1
3
3
3
3
1
0
1
1
2
0
0
2
1
3
1
2
3
3
2
1
0
0
0
3
2
0
3
0
0
2
3
0
0
1
0
2
0
0
0
2
1
0
0
1
2
1
3
2
2
0
3
1
0
0
0
0
3
0
3
0
3
1
0
3
3
3
3
3
0
2
1
3
2
1
2
0
0
3
3
0
0
2
2
2
1
1
2
3
2
2
0
3
0
0
2
0
3
2
1
3
2
3
1
2
1
3
1
0
2
3
1
2
1
1
0
0
3
3
1
3
1
2
0
0
3
1
3
2
3
0
2
0
1
0
3
0
0
2
0
0
3
1
1
0
2
3
3
3
2
2
3
2
0
1
3
3
3
3
1
3
1
1
2
1
0
0
1
2
3
3
1
1
1
1
1
2
2
0
0
3
2
0
0
2
0
1
0
0
1
3
2
0
1
0
0
3
0
2
2
3
2
3
1
1
0
2
3
3
0
2
1
1
1
0
3
2
3
3
0
0
1
0
0
3
1
1
3
3
3
0
1
3
1
0
2
1
0
2
2
2
2
0
0
3
3
3
3
3
0
1
1
2
3
3
1
0
1
3
1
3
0
3
0
0
0
0
1
3
1
3
3
3
0
3
1
1
2
0
2
0
2
3
1
2
0
1
3
3
1
0
0
0
0
1
2
2
3
0
1
1
1
3
3
0
1
2
2
0
1
1
2
1
3
1
3
1
0
3
0
1
3
1
0
3
2
3
0
3
1
1
1
0
3
0
1
1
1
1
3
1
1
3
3
3
2
2
0
3
0
3
2
0
3
0
2
1
1
2
2
0
2
3
3
0
3
0
0
1
3
3
3
3
1
1
1
1
3
0
2
1
0
0
3
1
2
2
3
1
3
0
0
0
0
1
3
3
3
2
2
2
2
3
0
3
0
0
2
1
0
2
1
0
2
3
3
0
0
3
3
3
1
2
3
1
1
3
2
0
0
3
1
2
2
2
0
1
0
0
0
0
3
1
3
1
1
2
3
2
1
3
1
3
2
0
0
0
3
3
2
2
0
1
1
1
0
1
3
1
0
3
3
3
3
0
3
0
0
0
0
0
3
1
3
2
1
0
3
3
3
0
1
1
0
0
2
3
3
0
1
1
2
1
0
1
1
1
2
2
3
3
1
3
2
0
0
2
3
2
0
1
1
0
3
1
3
0
3
1
1
2
0
0
0
1
3
2
1
0
1
3
3
0
3
3
2
2
2
0
3
0
1
0
0
2
3
0
0
3
1
2
2
0
0
1
3
3
0
3
0
1
3
0
0
3
0
1
3
0
2
3
2
2
3
3
3
3
1
0
3
0
2
2
0
0
3
0
2
2
1
3
3
1
2
3
3
1
1
3
0
0
1
1
0
2
0
1
3
1
3
2
0
3
1
0
1
1
2
2
2
2
3
3
2
1
2
3
1
0
3
0
0
2
3
1
3
3
2
0
3
2
1
1
1
2
2
1
0
1
3
1
1
3
1
0
1
3
3
0
3
3
3
1
1
1
2
2
0
2
0
1
1
0
2
3
3
0
0
0
1
1
3
3
0
1
0
0
2
1
2
0
1
2
3
0
3
2
2
2
2
2
1
0
3
1
3
3
2
3
2
3
2
3
1
1
1
1
0
0
0
0
2
0
0
0
0
0
1
3
0
3
2
0
3
1
2
3
3
1
0
0
0
0
1
2
0
2
3
3
2
2
3
2
0
3
2
1
1
1
1
3
0
2
2
1
0
3
1
1
3
1
2
0
0
3
3
3
3
3
3
3
3
3
3
1
0
2
0
3
0
0
3
0
0
2
3
3
0
1
2
1
2
3
0
0
2
2
1
3
0
3
0
1
0
0
3
1
0
3
3
2
0
0
2
3
1
0
3
3
0
0
1
0
1
0
2
0
0
0
1
2
2
1
0
0
3
3
3
2
1
1
3
1
1
1
1
1
2
1
0
0
2
2
3
1
1
0
3
3
0
3
3
2
2
3
2
3
0
3
0
2
1
2
3
0
0
0
1
2
3
0
1
0
2
1
2
2
0
0
0
2
3
3
0
2
1
1
3
1
0
3
2
3
0
3
3
2
2
2
3
0
0
2
1
2
1
2
2
2
1
2
3
0
1
1
2
1
1
2
3
2
2
3
3
3
0
3
1
0
1
0
2
3
1
1
2
3
1
3
3
2
1
3
3
0
3
2
0
0
0
1
1
3
1
0
1
1
1
0
0
0
3
0
0
3
1
1
2
1
0
0
3
0
0
1
1
1
1
0
3
2
3
3
2
1
0
3
3
2
1
1
3
3
1
2
2
0
0
3
3
1
1
1
2
0
0
1
1
0
2
0
3
2
1
3
2
1
3
2
0
3
0
3
2
0
2
3
2
0
3
3
0
3
0
1
0
3
2
0
2
2
0
3
1
1
0
3
0
1
2
2
1
1
0
2
1
2
2
2
0
3
1
1
3
1
0
1
1
2
3
0
3
3
0
1
2
3
2
2
1
0
1
3
0
0
2
3
3
2
2
2
3
0
2
1
1
3
1
1
2
3
1
1
0
2
1
0
1
3
2
2
3
3
3
1
2
0
3
3
3
2
1
1
0
0
2
1
3
0
1
3
2
0
3
1
0
3
2
3
1
3
2
1
1
2
1
1
1
1
3
2
0
3
0
0
0
1
0
1
0
3
0
2
0
2
2
0
0
2
0
1
1
3
2
3
1
1
3
1
0
0
1
0
1
2
2
3
3
0
3
1
1
0
2
1
3
3
1
3
2
3
1
2
0
1
3
3
1
0
0
0
2
3
3
2
1
1
1
2
0
0
3
2
1
1
2
2
0
3
0
0
2
3
2
2
1
1
2
0
0
3
3
1
1
3
3
1
0
0
3
1
0
2
1
3
1
3
3
0
3
2
1
0
3
1
3
1
2
2
0
3
1
1
1
0
1
2
0
2
1
3
0
1
1
1
0
3
0
1
2
3
0
1
1
2
0
0
0
0
0
1
2
1
0
2
2
1
1
0
3
3
1
1
1
1
0
3
3
1
0
3
3
1
2
3
3
0
2
0
3
2
1
2
2
1
3
3
0
3
1
1
0
2
3
3
2
3
0
1
0
1
3
3
1
2
3
0
3
1
0
2
2
3
3
3
3
3
3
1
1
1
2
0
0
2
3
1
0
1
2
1
1
3
2
3
3
1
2
3
2
1
2
2
2
2
3
1
3
0
2
0
2
3
0
2
2
2
2
0
3
3
0
1
3
1
1
2
0
0
0
0
1
2
2
2
3
3
0
0
2
3
0
2
1
2
3
3
2
1
2
2
0
3
0
2
1
3
1
3
3
1
1
1
3
2
3
1
3
0
0
0
3
2
0
2
1
0
0
1
1
1
1
0
3
3
3
0
1
3
3
3
2
0
0
2
2
2
1
2
2
0
0
0
2
0
0
0
3
2
0
2
0
2
2
1
0
3
3
1
3
0
2
2
3
3
3
2
1
3
3
1
2
0
0
2
1
0
3
0
1
0
2
3
0
0
3
2
2
2
1
1
1
2
0
0
2
0
1
0
3
3
2
1
3
3
0
2
1
0
0
2
1
2
0
0
0
3
0
2
1
2
3
3
2
0
2
0
3
3
0
0
2
3
3
2
3
0
2
0
1
0
3
2
3
3
0
0
1
1
0
0
0
0
2
3
2
0
3
3
3
3
3
1
2
0
3
1
1
3
3
3
3
2
2
2
3
1
3
0
2
1
1
2
2
0
2
0
2
3
3
2
0
0
1
1
3
0
3
0
0
1
3
3
2
3
1
2
3
3
2
2
1
3
2
2
2
3
3
2
3
3
3
1
3
0
2
2
0
0
1
1
1
1
0
0
3
3
1
1
2
2
1
3
1
0
0
1
2
3
3
2
1
3
1
2
1
0
1
1
1
2
1
3
1
0
1
0
3
2
2
0
1
1
3
2
0
2
0
2
1
2
1
3
0
3
2
1
1
0
3
1
0
0
1
2
3
0
0
3
3
0
2
2
3
1
3
2
3
2
3
2
0
1
1
2
2
0
2
1
3
0
2
3
0
1
2
3
0
2
3
2
2
1
0
3
1
0
3
2
3
2
0
3
0
0
2
3
1
3
1
3
3
1
2
2
2
3
0
3
3
1
2
2
3
3
1
3
1
1
1
3
0
2
3
0
3
1
3
2
1
2
3
0
2
3
0
1
0
3
1
0
0
3
0
1
1
0
3
3
3
3
3
0
3
2
1
0
0
0
2
2
3
0
3
2
2
0
2
2
0
0
3
3
2
1
2
0
3
2
0
0
3
3
0
3
0
2
3
2
1
2
0
1
0
0
0
0
1
1
0
1
3
3
2
1
3
3
0
3
0
2
2
2
0
3
0
3
3
1
2
2
1
0
3
1
3
3
1
0
1
1
1
0
2
3
3
0
0
2
3
1
1
1
0
0
0
1
0
3
1
3
2
0
0
3
3
1
1
1
2
2
2
0
3
1
1
3
3
1
1
1
0
3
0
2
3
3
1
3
3
0
3
2
0
1
1
1
0
2
3
1
1
1
1
3
2
2
2
3
1
0
2
3
3
3
0
2
0
3
3
1
0
3
3
0
0
0
2
3
0
0
0
1
3
1
1
1
3
3
3
1
2
1
3
0
0
2
2
0
3
2
2
3
3
1
2
3
0
0
3
0
3
2
2
1
0
3
0
0
2
2
1
3
3
2
0
0
0
2
3
2
0
1
1
3
3
3
1
1
0
0
1
3
2
2
1
3
3
2
3
2
0
2
2
3
3
2
3
1
3
3
0
0
3
0
0
1
0
2
1
3
3
3
2
0
3
3
2
3
3
1
3
3
3
3
2
0
3
1
0
3
0
3
1
3
2
3
0
0
0
2
3
0
3
1
2
0
0
3
1
3
2
1
3
0
1
1
1
1
3
2
2
2
0
2
1
1
2
1
3
3
1
0
0
2
2
3
2
3
3
0
3
3
0
3
1
0
2
3
0
3
3
3
3
0
1
0
0
2
2
2
3
0
3
3
3
3
0
1
2
2
0
0
0
0
2
0
3
1
3
0
3
3
0
0
3
2
3
1
0
2
2
2
2
3
0
1
2
1
1
3
3
3
3
2
2
3
2
3
3
1
0
2
3
3
0
0
0
3
0
0
2
2
2
2
1
3
3
1
3
1
2
2
3
2
2
3
2
1
3
1
2
3
0
0
3
1
0
0
3
0
3
0
3
2
1
3
2
0
0
0
3
1
3
0
0
1
3
0
3
3
3
2
2
2
3
0
1
1
1
0
3
1
2
0
3
2
2
0
2
0
1
1
1
2
3
0
3
2
1
2
0
3
3
3
1
1
0
2
3
0
0
2
3
3
2
3
2
1
1
2
2
3
0
0
1
0
2
2
3
2
2
2
1
2
2
0
1
3
3
1
2
0
1
3
2
1
0
3
3
2
2
1
1
3
3
0
2
0
1
3
0
1
2
0
1
2
1
2
3
2
3
3
0
1
1
2
1
3
0
3
3
3
0
1
2
2
0
0
2
1
2
3
1
2
1
0
3
2
3
3
2
0
0
3
2
1
2
2
2
3
0
3
2
2
2
3
3
2
1
0
2
3
2
3
1
1
2
0
3
1
0
3
0
0
3
3
3
0
2
2
0
3
0
0
0
0
0
1
2
1
1
0
3
2
1
0
1
0
1
0
1
0
3
2
1
0
3
2
3
1
3
0
3
0
1
1
3
0
3
2
2
2
1
2
1
0
0
1
3
2
0
3
3
3
0
3
0
2
1
3
0
2
2
0
3
3
3
2
2
2
1
3
0
1
2
1
2
0
0
3
0
3
3
1
0
3
3
1
1
2
2
2
1
0
1
3
1
0
0
0
0
3
0
0
0
0
0
1
1
2
3
1
2
3
3
3
0
1
3
3
0
3
3
0
0
3
3
3
3
2
3
1
3
2
2
2
2
0
3
1
1
1
2
1
1
2
2
3
3
2
1
3
2
3
3
1
1
2
0
3
3
2
1
2
1
1
0
3
1
0
3
1
0
1
1
0
2
3
3
2
2
2
3
1
3
3
1
0
3
3
3
3
3
3
0
2
1
3
1
1
3
2
1
1
1
1
2
3
0
3
3
3
3
3
0
1
0
1
3
0
3
2
2
2
2
0
1
2
2
2
0
1
3
0
3
3
3
3
0
0
2
1
3
2
3
0
0
2
3
0
2
2
3
3
2
2
2
0
3
0
3
1
2
0
1
2
3
1
3
1
3
2
3
3
2
3
0
2
1
1
0
3
0
1
3
0
0
1
2
3
1
3
0
0
2
2
0
0
3
1
1
2
1
2
0
1
3
1
0
3
1
0
1
2
1
2
2
2
2
3
3
3
3
2
1
1
1
0
3
1
2
3
3
3
1
3
1
0
1
3
2
1
0
1
3
0
2
2
0
1
3
3
3
1
1
1
0
1
0
3
2
3
1
1
1
3
1
0
3
1
3
1
0
0
1
2
0
3
2
2
0
0
0
3
3
2
0
3
3
3
2
3
3
3
2
0
0
0
0
0
3
2
2
1
1
0
3
3
1
1
3
1
0
0
3
3
1
3
0
1
3
1
1
0
0
0
1
0
1
3
3
3
1
0
2
0
0
1
3
1
1
2
3
3
1
1
1
3
3
3
3
2
2
0
1
3
1
2
2
1
0
3
2
3
0
2
0
0
2
1
0
1
2
3
3
3
1
0
3
1
3
3
3
3
3
2
1
3
3
3
2
3
2
0
1
0
1
1
3
0
0
0
2
1
1
1
2
1
2
1
0
0
3
3
2
1
0
3
3
0
1
1
2
0
3
1
0
2
3
1
3
3
3
2
3
0
3
2
0
3
0
1
3
1
3
0
2
0
1
0
1
3
0
2
1
2
1
3
0
2
2
1
1
1
0
1
3
3
0
0
0
2
0
0
1
1
1
2
0
0
2
1
0
2
2
2
1
3
1
0
1
3
0
1
3
1
0
1
0
0
2
0
3
0
3
0
3
1
3
2
1
3
0
1
3
2
1
3
3
1
1
2
3
1
2
1
3
3
3
1
3
1
0
0
0
0
3
2
0
1
3
1
0
0
1
2
3
2
3
3
1
3
3
0
1
3
0
0
1
1
1
1
2
2
3
3
1
2
1
1
2
2
3
1
2
3
0
0
3
0
3
0
3
0
3
2
0
2
1
2
2
1
0
2
2
0
2
0
3
0
1
0
0
2
0
0
1
0
0
0
2
1
0
3
0
0
0
3
0
2
1
3
3
3
3
0
0
3
2
1
0
1
2
2
3
0
1
2
3
0
3
3
1
2
2
1
3
2
1
1
1
1
1
3
0
0
3
3
2
0
1
0
3
1
0
0
3
3
1
2
3
2
2
3
1
0
2
0
3
1
1
3
0
1
1
2
0
3
3
1
0
1
1
0
2
0
3
0
3
3
1
2
2
0
3
1
0
1
1
1
1
3
0
2
1
1
2
0
0
0
0
0
0
3
0
0
1
2
0
0
2
0
3
2
0
1
3
1
1
0
0
3
3
1
2
3
2
0
3
1
1
3
1
3
2
1
3
2
3
3
3
0
2
2
2
2
1
2
2
3
2
3
2
1
2
0
3
1
1
2
1
1
2
3
3
3
3
0
3
1
3
1
3
0
0
1
3
1
1
0
2
0
3
3
2
1
3
3
0
3
3
0
1
3
1
1
0
1
2
2
3
1
0
0
3
0
0
0
1
2
3
0
0
2
1
2
0
1
1
0
3
3
0
2
1
3
3
3
3
3
1
3
1
2
3
2
0
2
0
0
1
1
2
3
1
3
0
2
2
1
0
1
0
0
2
2
0
1
2
3
3
1
1
3
2
3
2
3
3
1
2
0
3
0
1
1
2
3
3
0
2
1
3
0
0
1
3
3
2
3
0
0
0
3
1
1
3
0
0
0
3
1
3
0
3
1
1
1
0
0
0
3
3
0
3
0
2
2
0
2
0
0
2
1
1
2
3
2
2
3
3
0
1
1
3
1
3
3
2
3
3
2
1
3
1
0
3
1
0
2
0
3
0
3
1
1
1
3
1
3
1
3
0
2
1
3
0
1
1
2
2
3
0
2
1
2
2
2
3
2
0
0
3
0
2
2
1
2
3
1
2
3
0
3
2
3
0
0
0
2
3
2
0
1
2
1
3
3
1
0
1
3
3
3
0
3
1
2
0
3
3
0
3
1
0
1
1
3
0
3
1
3
1
0
0
2
0
2
0
2
3
3
2
2
2
0
2
1
2
3
3
0
1
2
2
1
3
1
3
2
1
3
2
0
2
3
3
1
3
3
1
2
2
3
3
3
2
1
3
0
3
3
3
3
1
2
2
3
1
2
0
3
3
0
2
0
2
3
0
1
0
3
3
0
1
3
2
0
0
0
2
2
3
3
3
0
0
0
1
2
3
1
2
2
2
1
0
0
0
0
0
0
0
3
1
3
3
1
3
2
3
1
0
2
0
2
3
1
2
2
1
1
3
3
2
2
2
1
2
1
0
1
1
2
1
1
0
1
2
2
3
0
3
1
2
3
0
2
2
2
1
0
0
0
0
1
2
0
0
3
0
0
0
1
1
0
0
0
3
0
0
0
3
0
0
2
2
1
0
2
0
2
0
3
1
1
2
1
3
2
0
1
3
0
1
0
1
0
3
0
3
0
3
0
1
3
3
1
3
3
3
0
2
1
1
1
1
2
3
0
3
1
1
2
2
3
1
0
1
3
0
2
3
2
3
2
3
3
3
3
3
3
0
2
2
2
0
3
0
0
0
1
3
1
1
1
2
2
1
2
1
0
0
0
1
2
3
3
1
3
1
1
3
3
2
3
3
0
1
2
3
0
2
3
2
3
1
2
2
0
0
0
3
3
0
3
3
0
0
2
3
1
3
3
1
2
3
3
3
3
2
1
2
2
3
2
1
0
3
1
0
0
2
0
3
1
1
2
3
0
3
0
0
1
3
3
1
2
0
1
1
3
0
1
1
1
3
1
0
1
1
3
2
3
0
3
3
3
1
0
1
2
1
1
1
1
2
1
2
2
0
2
3
3
1
3
0
3
0
3
3
2
3
2
1
0
3
1
3
2
2
2
2
2
3
0
3
3
3
1
2
1
3
1
1
2
3
1
2
3
2
1
1
3
1
0
3
0
0
3
0
1
0
1
0
3
3
1
1
1
3
1
0
0
2
1
0
0
3
3
2
3
1
2
2
2
0
0
0
1
1
1
1
0
0
1
2
2
0
1
3
3
1
3
3
1
2
0
0
3
3
3
0
0
2
2
3
2
3
1
0
2
2
3
3
0
2
3
0
2
0
1
2
3
2
3
2
1
1
0
3
3
0
1
0
2
1
2
1
3
3
2
0
0
3
1
3
1
1
0
1
0
0
0
0
3
3
3
3
1
1
3
1
2
2
2
1
3
3
3
3
1
1
3
2
1
2
2
2
0
2
0
1
1
0
1
3
1
2
0
2
3
2
1
3
1
0
1
1
1
0
2
3
0
3
0
0
1
1
2
1
1
2
2
2
2
2
1
2
3
3
3
2
2
3
3
2
3
0
3
2
0
0
2
2
3
3
1
1
3
2
0
2
0
2
2
1
2
0
2
2
3
2
0
1
0
2
2
1
3
0
2
1
2
2
2
2
2
3
0
1
3
0
2
2
1
2
0
1
0
1
2
1
3
3
3
3
3
3
0
1
3
0
1
3
0
0
0
2
0
0
2
2
0
2
2
0
1
3
3
2
1
3
1
0
2
2
3
2
0
0
2
0
0
1
3
2
2
3
1
3
0
3
3
3
3
1
1
2
2
2
3
2
3
0
1
3
3
1
0
0
2
2
3
1
2
2
0
3
0
1
3
1
2
2
3
1
1
3
3
1
0
0
0
2
1
3
2
2
3
3
1
3
0
2
3
3
0
1
2
3
0
0
3
3
1
0
0
1
3
3
0
1
1
2
2
0
1
2
1
3
3
3
3
3
0
1
2
3
2
0
3
0
0
1
1
0
0
2
2
3
2
1
1
3
1
1
2
0
1
2
3
3
1
0
2
2
3
1
0
0
0
0
1
0
3
0
3
3
2
3
2
1
1
0
2
3
0
0
2
1
1
1
2
0
2
1
1
0
1
0
3
3
0
2
0
1
3
2
1
0
2
1
0
3
0
0
2
3
3
0
0
2
3
2
1
2
1
1
2
2
2
1
1
1
2
0
0
0
0
3
0
0
1
1
0
0
0
2
1
0
0
3
0
0
3
1
1
3
1
0
2
3
3
3
1
2
0
3
0
0
0
1
3
3
1
3
1
0
3
1
3
2
1
1
2
0
1
2
2
0
0
1
2
3
1
1
1
1
2
3
0
0
0
3
2
1
3
2
1
2
2
3
3
3
2
3
1
0
0
2
0
2
0
3
0
0
1
1
2
0
0
1
3
1
3
2
3
0
2
2
1
2
3
3
0
3
0
2
1
3
3
0
1
2
3
1
3
2
2
3
1
3
3
0
3
3
0
2
2
1
2
2
0
3
3
3
0
1
3
1
0
0
3
1
0
2
2
1
2
2
2
1
2
1
0
0
2
0
3
0
1
3
3
0
3
1
3
3
3
3
2
2
3
1
0
2
3
3
1
3
0
0
3
2
3
3
3
2
1
3
3
0
3
0
0
2
0
1
0
0
2
2
0
2
3
1
1
1
3
1
1
0
2
3
0
2
1
0
0
0
1
1
1
3
3
0
3
2
1
1
0
3
1
2
1
1
0
0
1
0
0
3
0
2
1
3
1
3
0
2
0
1
1
3
3
1
3
3
3
1
1
3
1
1
0
1
1
2
2
2
1
0
2
1
2
0
2
2
2
0
1
0
3
0
0
0
0
1
1
3
0
0
2
3
2
1
0
1
2
1
2
1
2
1
1
3
0
3
1
3
2
1
3
3
3
2
1
3
0
1
1
1
2
0
0
0
0
1
3
1
1
2
0
3
1
0
1
1
1
0
1
2
0
0
0
0
2
1
3
3
2
0
1
1
3
2
1
3
0
0
2
2
1
3
1
1
0
2
0
1
2
3
3
2
2
3
3
1
2
3
1
0
0
1
2
2
2
3
0
0
3
3
0
2
0
0
1
1
0
0
1
3
3
0
0
3
3
1
0
0
3
3
1
3
1
3
1
3
2
2
3
1
3
3
0
1
2
1
3
1
1
3
0
2
0
3
3
1
0
0
3
1
0
3
2
0
0
3
1
3
0
1
0
0
0
1
1
0
3
2
1
0
2
0
0
3
2
2
3
3
2
3
2
3
1
1
0
0
0
1
3
0
0
0
1
3
3
0
3
2
3
1
3
3
0
0
0
1
0
3
2
3
3
3
0
1
1
3
0
1
0
3
0
0
1
3
1
3
3
2
3
2
2
2
3
1
3
3
1
3
3
3
3
0
3
2
2
1
3
1
3
0
1
0
1
0
3
1
0
3
1
0
2
3
3
0
2
3
3
3
0
0
3
3
0
0
2
1
1
0
3
3
3
3
1
2
0
0
3
0
3
1
3
2
1
1
0
2
2
2
0
1
2
3
1
3
1
3
0
1
2
0
0
2
2
1
1
1
1
1
3
3
2
2
3
3
1
3
3
3
0
3
2
2
1
1
1
0
1
1
0
1
1
1
2
3
2
0
0
2
2
3
3
3
2
1
0
3
1
2
3
0
1
3
1
2
3
3
2
2
1
3
3
0
1
2
2
2
0
2
3
2
3
2
3
3
0
1
3
2
3
3
0
1
1
1
1
2
2
0
3
2
3
1
2
1
2
0
1
3
1
1
1
3
1
1
1
3
1
3
1
0
3
1
1
1
3
1
3
3
3
0
2
1
2
0
1
2
2
0
3
1
2
0
1
2
1
3
2
3
0
2
0
1
3
2
3
1
1
2
0
1
3
2
0
3
3
0
0
3
2
3
3
3
2
2
1
1
1
2
2
1
1
2
3
0
0
3
2
0
2
0
1
1
0
0
0
2
2
1
0
1
3
0
0
3
3
2
0
2
2
0
2
0
1
0
0
3
3
1
0
3
1
2
2
2
2
2
0
2
1
0
2
3
1
0
2
0
2
2
0
0
2
0
1
1
1
1
2
0
0
3
0
1
2
0
3
3
3
1
1
2
2
1
2
3
0
2
2
3
0
0
1
1
1
0
0
0
2
2
3
2
1
2
3
3
3
3
3
3
3
3
3
1
1
1
1
1
0
2
3
0
3
1
1
2
0
1
1
2
3
1
3
2
3
2
0
0
0
3
3
0
0
2
2
2
1
2
1
3
3
3
3
3
3
0
1
0
1
3
3
0
0
0
3
1
3
2
2
3
3
1
3
1
0
0
0
0
3
0
0
0
2
2
1
0
3
3
0
3
2
3
1
0
0
0
3
1
3
3
0
1
3
3
1
0
1
1
0
0
3
2
0
2
0
0
0
2
0
1
3
1
2
2
0
2
1
0
3
0
1
2
3
3
1
2
2
2
2
1
3
0
0
3
2
3
3
1
3
0
1
0
3
3
3
3
1
2
2
3
3
0
1
1
0
0
3
1
2
3
3
3
1
0
1
3
3
1
0
3
2
1
0
1
2
2
3
3
3
3
0
2
0
2
2
0
0
0
0
1
1
2
1
2
3
1
3
1
0
3
1
1
2
2
0
0
0
1
0
3
3
0
3
0
0
3
2
3
3
2
2
3
3
3
0
1
2
3
2
1
1
3
2
3
3
0
3
1
2
3
2
3
3
3
0
0
1
0
0
3
3
1
1
2
2
0
0
2
0
0
0
3
3
2
3
2
2
0
3
0
3
3
2
2
0
0
2
2
1
3
1
1
2
3
3
1
3
2
3
1
1
3
2
0
0
0
0
0
2
0
0
3
1
3
3
1
1
3
1
0
2
3
2
2
3
2
0
0
1
0
1
0
2
2
0
3
1
0
1
0
1
1
1
3
2
2
3
3
1
2
0
2
3
3
3
3
2
2
1
0
1
3
3
0
0
3
1
3
0
1
1
2
0
1
3
2
2
2
0
0
1
2
2
1
1
0
2
3
1
1
3
1
1
2
2
3
3
3
3
2
1
2
1
2
3
3
1
0
0
1
0
1
2
2
3
0
1
3
2
1
3
2
2
3
3
3
0
2
0
3
0
3
0
3
3
1
3
0
1
1
1
1
0
3
1
3
2
3
0
0
0
3
1
2
1
2
3
0
0
0
0
1
0
2
2
1
1
1
1
2
2
0
0
0
2
2
2
1
3
1
3
3
3
1
3
0
3
2
0
2
3
3
3
1
1
0
3
1
0
0
2
1
1
1
1
2
1
2
3
0
2
1
0
3
1
3
2
3
2
1
1
3
3
3
0
0
3
0
2
1
2
2
1
1
2
3
1
2
0
0
0
1
2
3
0
2
1
1
3
1
0
2
1
0
2
2
0
1
0
2
0
2
0
1
2
3
3
0
1
1
3
3
2
2
3
3
0
2
0
2
3
1
1
1
3
0
0
3
2
3
3
0
0
2
3
1
3
2
0
3
2
0
2
3
2
1
1
3
2
0
3
1
0
1
3
3
1
3
1
3
2
3
3
3
1
3
0
0
1
2
1
1
3
1
2
1
1
0
2
0
1
3
1
1
1
3
3
0
3
0
3
0
2
3
2
2
3
0
2
2
3
3
1
2
0
1
1
0
0
1
2
0
0
3
3
0
3
3
2
0
1
3
2
0
1
3
2
3
2
2
2
2
2
1
0
1
3
0
1
2
2
2
0
0
2
1
1
2
0
1
3
2
3
3
1
1
0
0
2
0
1
0
2
3
1
0
1
2
2
1
1
1
1
0
2
0
1
0
3
1
3
0
1
0
3
2
2
1
1
3
1
1
3
1
1
3
3
2
1
2
3
0
1
0
3
3
2
2
3
3
0
0
2
2
0
2
2
3
1
1
2
1
0
1
2
2
0
1
1
3
3
1
1
0
0
3
1
1
2
3
0
3
3
3
3
2
0
3
0
0
2
1
3
0
0
1
1
2
0
0
3
1
0
2
2
0
0
3
1
3
0
3
3
3
0
3
0
0
2
0
0
0
1
3
2
3
2
1
3
3
3
2
0
3
0
3
3
1
1
1
2
2
0
0
1
2
2
0
2
0
3
3
2
3
2
1
1
0
0
1
0
1
3
0
0
0
0
3
3
3
1
1
3
2
3
0
3
3
1
0
0
0
2
3
0
0
2
3
1
3
1
3
1
0
0
0
1
0
3
3
3
2
0
0
1
1
2
1
1
1
2
3
0
3
0
3
2
2
3
0
1
3
3
1
3
2
0
2
0
0
1
2
3
0
1
3
2
1
2
1
2
0
2
0
0
0
2
2
1
2
3
3
1
2
0
2
3
1
3
1
0
3
2
3
0
2
3
3
0
2
1
2
3
1
1
1
0
1
0
2
0
3
1
1
0
1
0
2
2
3
1
1
2
0
3
2
3
2
1
0
3
3
1
3
1
0
3
2
2
3
3
2
2
1
1
2
0
1
0
1
0
2
2
1
1
1
1
3
3
0
0
2
2
3
2
3
1
0
2
0
2
1
0
2
3
2
1
3
1
3
3
3
0
0
1
0
0
2
3
3
3
3
1
0
3
3
3
3
3
3
3
3
3
0
1
3
3
0
0
3
0
2
2
3
1
1
2
0
0
1
0
3
3
3
3
2
2
2
0
2
1
3
3
3
0
1
0
3
0
2
1
3
2
0
0
1
0
2
1
3
2
2
3
0
0
0
0
1
2
3
2
0
2
3
1
0
3
0
2
2
1
1
0
2
2
2
2
2
1
0
1
0
1
3
1
2
1
1
2
3
3
1
3
2
0
0
3
0
1
2
0
2
0
0
1
3
2
2
0
3
2
0
1
3
3
0
2
1
1
1
2
1
0
0
0
1
3
1
3
3
3
1
0
2
2
1
2
3
0
1
1
1
1
1
3
1
1
0
1
2
3
0
3
0
1
3
0
3
3
3
2
2
1
1
1
3
1
0
3
2
2
2
3
1
3
1
1
1
0
0
0
2
1
3
2
2
1
1
3
1
1
3
3
0
0
0
2
0
3
1
1
2
3
0
2
0
1
1
1
1
0
0
2
0
1
3
0
1
1
3
3
1
0
1
2
1
2
3
0
1
0
0
1
1
1
1
1
3
3
1
0
0
0
3
3
2
0
1
2
0
0
3
2
1
1
3
0
2
2
3
0
2
0
2
0
1
1
3
1
3
2
3
3
3
0
0
2
0
0
3
1
2
2
1
0
3
2
0
0
2
0
2
3
0
0
1
3
1
0
3
0
1
3
1
1
2
3
0
1
2
1
3
3
3
2
2
0
2
1
2
1
2
0
3
3
2
3
2
2
0
2
2
3
2
2
3
3
3
2
0
2
1
2
3
0
3
0
0
1
0
1
0
3
1
0
2
0
0
0
1
1
2
3
3
2
0
2
3
2
1
0
2
2
3
0
0
1
3
1
1
3
0
0
0
0
0
3
0
0
1
0
0
2
3
2
0
2
2
3
2
2
2
2
2
1
1
0
3
0
1
2
0
1
3
1
3
0
0
2
3
1
2
0
1
2
0
1
0
3
0
3
2
0
0
1
1
3
0
0
1
1
3
2
3
1
1
3
2
1
3
0
1
1
3
0
1
2
3
3
3
3
3
3
2
0
1
3
2
2
0
2
1
1
1
1
3
0
1
3
1
2
2
2
2
1
3
0
1
1
2
3
1
3
2
2
0
3
1
2
2
2
0
3
1
0
1
3
2
3
1
2
0
3
3
0
0
2
3
0
2
3
1
0
2
3
3
3
3
2
0
1
3
2
0
0
3
3
3
0
1
3
2
1
0
0
0
3
2
0
2
0
2
2
3
3
1
3
3
3
0
2
1
1
0
2
3
3
1
1
3
2
2
0
0
1
3
1
2
0
3
0
0
2
3
0
3
1
2
0
1
3
3
0
2
1
1
2
2
3
3
1
0
2
0
2
1
0
2
0
2
3
0
3
1
3
1
0
3
0
3
2
2
1
0
0
3
0
0
2
0
0
3
1
3
2
2
1
1
1
1
3
1
3
1
3
3
0
2
2
0
1
3
3
3
0
3
1
0
3
1
2
0
3
3
3
0
2
3
1
0
0
0
3
1
2
3
1
1
3
3
3
1
3
1
0
2
2
2
2
0
0
2
1
3
1
1
3
0
0
3
3
2
1
0
0
2
3
2
3
2
0
0
3
0
2
0
0
0
1
3
0
0
0
3
1
1
3
3
3
1
0
1
1
0
3
0
0
3
3
2
1
3
1
3
2
3
0
1
1
2
0
0
2
2
3
0
0
1
2
2
1
1
0
3
0
2
3
3
0
0
3
0
3
3
3
1
3
0
3
0
2
1
3
3
0
0
3
1
0
3
0
1
0
0
0
3
3
0
3
0
1
3
1
1
0
0
3
0
0
3
0
3
3
2
0
1
0
2
3
0
0
2
0
1
3
2
1
1
0
3
0
2
2
2
1
2
3
1
1
2
1
2
3
2
3
3
1
3
2
3
3
0
0
0
3
3
1
3
2
1
0
0
0
1
3
3
0
1
1
1
1
3
0
0
3
3
0
3
0
3
1
0
2
3
2
2
2
0
1
1
2
3
0
2
0
1
2
1
3
1
3
2
1
0
2
0
3
0
3
1
2
3
3
3
0
1
2
0
1
1
2
1
1
0
3
0
0
2
1
3
2
2
1
2
1
0
3
2
2
3
3
1
3
1
0
3
3
1
1
3
1
2
3
2
2
2
3
1
0
3
0
2
0
0
1
2
1
1
0
2
0
2
3
1
3
2
1
1
1
3
0
2
0
0
0
1
1
2
0
2
1
1
0
3
0
2
0
0
2
0
2
0
0
1
3
1
2
2
1
0
3
1
1
2
3
2
3
1
1
3
3
1
3
2
3
1
0
0
3
1
1
0
3
2
2
0
1
0
1
3
1
1
3
1
0
2
3
3
3
1
3
1
3
1
3
1
3
3
0
0
1
3
1
3
3
1
2
0
2
2
3
3
2
1
2
2
0
2
3
2
1
3
3
3
1
0
1
2
2
3
1
0
0
3
1
2
1
3
3
1
2
0
1
0
2
2
3
2
2
1
1
1
2
0
1
2
3
0
1
2
1
0
0
2
3
3
1
0
0
3
0
1
3
1
1
1
1
2
1
1
1
3
0
1
1
1
1
1
0
0
2
2
2
0
0
1
1
3
2
1
2
0
0
1
1
0
2
0
0
2
3
1
0
0
0
2
0
0
0
3
0
0
0
3
0
3
1
2
0
3
0
3
3
0
1
0
3
0
0
2
3
0
0
2
0
2
1
1
1
0
3
1
3
2
3
0
1
1
0
2
2
3
2
1
1
2
1
0
0
3
3
2
1
1
0
2
3
0
1
2
1
0
3
3
1
3
1
0
1
3
2
0
1
0
1
0
0
2
2
2
0
1
0
1
2
1
3
2
3
3
0
1
1
2
2
2
0
3
0
3
0
2
1
2
2
3
3
2
1
3
0
0
3
3
1
1
1
1
0
0
2
0
3
1
3
3
2
2
0
0
1
2
2
0
3
0
3
0
3
1
3
3
3
1
3
2
2
1
2
0
3
2
1
3
3
2
3
0
1
3
0
2
3
3
3
2
3
3
1
0
1
1
0
2
0
3
0
0
1
1
3
0
1
0
1
0
3
0
0
3
1
0
0
0
1
2
3
1
0
0
1
3
1
3
3
2
2
0
0
3
3
3
3
3
3
3
1
3
2
0
3
3
1
0
1
3
3
3
0
0
1
2
0
1
0
3
2
3
0
2
2
3
0
3
1
2
0
0
2
1
1
0
3
2
3
1
3
3
3
3
3
1
3
0
3
3
0
0
3
0
0
0
0
3
3
0
1
1
2
1
1
0
1
3
3
0
0
2
1
1
1
2
0
3
3
2
2
1
0
2
0
3
3
0
0
0
1
0
3
1
1
1
0
3
1
3
3
2
3
1
2
3
3
0
1
0
1
0
0
0
0
1
1
2
0
1
0
2
3
0
1
2
1
1
2
0
0
1
1
1
2
1
3
2
3
3
1
1
2
2
2
1
2
1
3
0
2
2
3
1
2
3
0
2
0
0
0
2
2
1
1
1
0
2
1
1
1
0
1
1
3
2
3
3
3
2
0
1
0
3
3
3
3
2
1
1
2
0
1
2
3
1
1
2
1
2
0
1
2
3
3
0
2
0
2
2
3
1
3
3
3
3
2
2
1
3
0
3
1
1
3
2
1
2
3
1
3
0
3
1
1
0
3
2
0
0
3
3
2
2
2
3
3
2
0
1
2
0
1
0
1
1
2
3
2
0
0
1
1
1
3
1
0
1
0
1
2
2
2
2
1
3
0
3
1
1
0
3
2
2
3
0
0
1
3
0
0
0
3
1
2
0
1
0
3
2
1
3
0
0
2
2
1
1
3
1
1
0
2
3
1
1
1
2
0
0
2
1
1
3
0
2
1
1
0
1
3
3
2
3
1
1
3
3
0
2
0
3
2
2
1
3
3
3
0
1
2
1
0
2
0
1
1
3
3
1
1
1
0
3
1
0
1
2
2
3
2
2
3
3
0
3
1
2
3
2
3
2
3
3
3
3
3
2
2
3
0
1
3
1
3
1
3
0
0
1
2
0
2
0
3
2
1
2
0
1
2
1
3
0
3
1
3
2
3
3
1
2
1
2
1
2
2
1
1
3
3
1
2
0
1
1
2
1
2
1
1
0
2
2
0
3
1
1
1
3
1
3
3
0
0
3
3
3
0
0
3
2
2
2
3
2
3
0
3
1
2
0
1
3
3
3
1
1
2
0
3
0
2
3
0
0
3
3
2
1
0
0
3
3
2
2
2
0
1
0
0
0
1
2
1
0
1
0
0
0
1
3
1
2
1
1
1
3
2
1
3
1
1
2
1
3
3
0
2
2
2
2
1
3
3
3
0
0
0
0
1
0
0
0
0
3
1
2
3
2
1
3
1
0
2
2
0
3
3
2
1
3
1
3
2
3
1
3
1
1
0
2
0
1
1
2
2
3
1
0
1
2
0
1
0
1
3
1
1
3
1
3
3
3
0
0
3
2
1
1
0
3
1
3
1
1
3
1
2
1
3
0
3
3
3
2
2
0
0
1
0
0
1
0
3
0
0
1
3
3
0
3
0
0
0
1
2
2
1
3
0
3
3
1
2
3
0
0
3
3
1
1
1
2
2
2
2
2
2
2
1
0
2
1
1
0
0
0
1
2
3
2
2
3
3
0
0
2
1
1
0
0
2
3
1
3
0
3
2
0
2
3
3
2
3
2
2
3
3
2
0
1
1
3
3
3
3
0
3
2
2
3
3
0
0
0
2
1
3
3
0
2
1
1
1
3
1
1
0
1
3
2
0
3
3
3
2
2
2
1
3
3
3
3
3
0
1
0
3
0
3
2
0
1
1
2
2
2
3
3
2
2
3
0
3
0
3
3
1
1
1
1
3
1
0
2
2
0
0
0
1
0
1
2
0
3
3
3
3
0
0
0
3
1
2
2
2
2
0
2
1
2
2
2
2
2
0
1
1
3
0
0
0
0
0
0
3
1
0
1
2
1
3
0
0
3
1
3
3
0
2
0
0
1
1
0
3
3
1
1
1
0
1
3
3
3
2
2
2
1
2
3
1
1
1
2
0
2
1
2
2
2
1
0
3
2
3
0
1
0
1
3
2
3
1
3
0
0
2
3
0
1
3
0
3
2
3
0
3
1
0
1
3
3
0
0
3
3
3
1
1
0
0
3
2
0
1
3
2
3
3
0
2
2
3
0
0
1
2
2
2
0
2
2
2
1
3
3
0
0
0
3
0
2
0
3
0
2
3
2
2
1
0
1
2
0
0
3
3
3
2
2
1
1
3
2
3
0
2
0
2
2
2
0
3
0
2
0
1
3
3
1
0
1
2
1
3
0
0
0
3
0
3
1
0
2
3
2
0
3
1
1
2
1
1
3
1
2
2
2
3
3
3
0
1
2
3
0
3
0
1
1
1
0
0
1
3
0
0
1
0
2
3
3
2
0
0
0
0
0
0
1
0
2
2
2
2
3
3
0
1
1
2
3
1
3
0
0
0
0
3
1
3
3
0
0
0
2
0
2
1
1
3
0
1
0
1
3
0
3
3
2
2
2
1
1
0
1
1
1
3
1
3
2
2
2
2
2
3
1
1
3
3
0
2
2
0
3
3
3
1
0
1
1
3
0
2
0
1
2
2
3
1
1
1
3
2
0
3
1
0
1
2
0
3
0
1
3
3
1
2
0
3
1
1
3
3
1
2
3
0
2
2
0
2
2
3
0
1
3
3
2
0
3
0
0
1
1
1
2
1
1
2
3
1
2
0
2
0
0
2
0
3
3
3
0
3
0
3
3
2
3
0
1
3
0
0
2
2
1
2
3
0
3
3
1
2
2
1
3
0
0
3
1
3
2
2
3
2
1
3
2
3
3
1
3
0
0
0
3
2
2
0
0
0
1
3
2
3
3
3
3
3
1
1
1
0
1
2
2
0
2
2
2
1
2
3
1
3
1
0
3
0
0
3
2
3
1
2
0
1
3
1
3
1
3
2
3
3
2
3
2
1
1
1
1
1
2
3
0
2
3
1
0
3
2
3
0
1
3
0
3
3
3
2
1
1
1
3
1
0
1
2
3
3
2
2
3
3
0
2
2
2
2
2
3
0
3
3
3
1
3
0
0
0
1
3
2
1
3
1
1
0
1
3
1
3
0
0
2
1
1
3
3
0
1
3
3
3
1
0
0
1
3
3
2
0
3
0
2
1
0
2
1
3
3
0
1
1
0
0
3
0
3
0
2
3
3
0
2
0
1
1
2
0
3
0
0
1
1
3
0
0
0
3
3
3
3
3
0
1
0
2
1
0
0
3
0
0
3
0
1
3
0
2
3
1
2
0
0
2
3
1
0
0
2
3
3
3
3
2
0
3
2
0
0
1
0
2
1
3
0
3
3
3
3
0
0
3
1
3
1
1
2
3
3
0
0
2
2
3
2
0
3
3
3
0
3
1
1
1
0
1
0
0
0
2
0
3
3
1
2
3
1
0
1
1
0
0
3
3
0
3
2
3
1
1
1
3
3
0
1
1
0
3
1
3
1
1
0
3
3
1
1
2
1
1
0
0
1
0
3
1
1
2
2
3
0
0
2
2
0
0
2
0
2
3
0
3
3
1
3
1
3
1
1
0
1
2
3
3
3
2
2
0
3
0
1
1
2
2
2
3
1
0
2
3
3
3
0
1
0
0
3
1
1
1
1
3
1
1
1
3
1
2
0
2
2
2
3
3
1
0
3
3
2
1
0
0
3
1
2
0
3
2
3
1
2
2
0
3
1
1
0
3
3
3
0
2
1
2
0
2
1
1
3
3
3
3
1
2
2
0
3
0
0
2
0
2
0
2
0
1
2
2
0
0
0
0
2
3
2
2
0
2
0
2
3
3
2
3
3
1
3
2
2
0
2
0
0
1
2
2
3
0
2
0
0
3
3
0
0
0
0
3
1
0
0
0
1
3
2
3
3
3
3
3
3
1
1
1
2
1
1
1
1
1
2
0
1
1
0
0
2
2
2
3
2
1
2
3
3
1
0
0
0
2
2
2
3
1
1
0
3
3
3
1
3
3
3
3
1
1
3
3
3
3
2
3
3
1
2
3
3
0
2
1
0
3
0
0
0
0
0
2
0
3
1
3
1
0
1
1
2
0
3
0
2
3
0
0
3
2
3
3
1
3
2
0
3
2
2
3
3
3
1
3
1
1
0
0
1
1
1
2
0
1
1
0
1
1
0
1
2
1
0
0
0
2
3
1
0
3
1
0
2
1
2
3
3
1
0
3
2
2
1
1
3
0
2
0
0
3
0
0
0
0
0
0
3
1
0
1
2
1
3
2
0
1
1
2
1
3
3
1
3
0
0
0
3
3
1
2
2
2
3
0
0
3
1
1
0
0
1
1
2
2
3
3
1
0
1
0
2
1
2
0
1
1
1
2
3
2
1
0
2
2
0
1
3
2
0
0
1
1
0
0
3
1
1
2
3
1
0
3
2
3
0
2
0
2
0
2
0
3
3
3
1
0
2
3
2
2
3
0
2
3
3
0
1
3
3
1
3
1
1
2
2
1
0
2
2
3
0
3
0
2
3
3
1
0
1
2
2
1
3
0
3
3
1
3
1
2
0
1
3
1
0
0
2
1
3
0
3
0
0
1
1
1
0
1
0
2
3
2
1
3
3
1
2
0
3
2
1
0
1
3
3
2
2
0
3
0
1
0
2
0
0
1
3
3
3
1
3
3
0
1
0
2
2
2
0
3
3
3
3
0
2
0
1
1
3
2
2
1
2
3
1
0
2
0
0
0
2
0
3
1
2
1
1
1
0
2
2
3
0
0
0
0
0
2
3
1
1
1
1
1
0
0
3
3
0
3
0
3
2
1
2
3
3
1
3
2
3
3
2
1
2
0
2
0
2
3
1
2
1
2
2
2
2
1
2
1
1
1
1
1
2
1
2
0
3
1
3
1
3
2
1
2
3
2
3
2
0
3
2
2
3
0
3
1
1
3
1
1
1
3
3
3
2
1
0
3
0
1
0
1
1
3
3
0
3
0
1
2
3
3
3
3
3
0
2
2
0
1
1
0
3
1
3
0
1
1
0
0
2
2
2
1
2
1
2
0
2
3
1
3
0
2
3
0
3
0
2
0
0
0
0
1
3
0
0
1
0
3
3
0
1
1
0
2
3
0
3
2
1
3
3
3
3
3
1
3
0
0
0
0
0
0
3
3
1
0
1
0
3
1
0
2
3
3
2
2
2
2
0
2
1
0
0
0
0
3
3
0
3
3
0
0
0
3
3
1
3
1
1
0
0
1
1
3
1
0
3
0
1
1
1
3
2
2
0
1
3
1
2
2
3
0
3
3
3
0
3
3
0
3
3
3
3
0
3
3
0
1
1
0
0
2
3
1
1
3
2
0
2
2
0
3
0
0
0
0
0
3
2
3
0
0
1
3
3
0
2
1
2
3
1
2
0
2
2
1
3
3
2
1
0
3
3
2
2
2
3
0
1
0
0
2
1
2
2
0
0
0
3
1
3
1
1
0
0
2
3
3
2
1
2
1
3
2
1
2
1
1
1
2
2
2
1
0
0
1
3
2
1
2
2
3
2
1
1
0
2
0
0
3
2
3
3
1
1
2
2
0
3
0
0
3
0
2
0
0
3
1
0
2
0
2
3
1
3
1
1
0
3
2
3
3
2
0
3
3
1
0
0
3
0
3
3
1
1
0
2
3
0
2
0
0
0
2
0
1
3
0
1
0
0
2
0
1
0
1
3
3
3
1
3
3
2
0
1
1
3
3
0
3
3
0
0
1
0
2
3
3
0
2
3
3
0
0
2
1
2
2
2
3
1
0
0
0
3
1
0
0
0
0
3
1
1
1
3
2
0
0
3
3
3
3
3
3
3
1
2
3
0
3
3
2
0
0
0
3
2
0
1
3
1
2
3
2
1
3
1
3
1
0
0
2
1
1
0
2
0
2
0
0
3
3
2
3
1
0
3
3
3
3
3
1
2
0
0
3
3
2
0
3
0
1
2
3
3
2
0
2
1
3
1
3
3
3
1
3
2
0
1
3
3
0
0
0
0
0
0
0
1
1
3
1
0
2
1
0
1
2
2
2
2
3
1
1
1
0
1
0
3
3
0
1
1
1
0
0
1
0
0
0
1
0
3
0
3
2
2
2
0
2
2
2
3
2
0
3
3
0
2
2
2
2
2
0
1
2
3
0
3
1
1
1
2
1
0
1
3
3
2
0
1
3
3
1
0
1
3
1
0
1
2
1
3
3
2
2
3
1
0
2
3
1
2
2
0
3
3
0
1
2
2
3
3
2
1
0
3
3
1
0
0
2
1
0
2
3
0
1
2
0
0
0
2
0
0
3
3
2
1
3
2
1
3
2
2
3
1
1
1
2
0
1
1
1
3
0
0
0
1
2
2
2
2
3
2
0
3
3
3
3
3
3
2
2
2
3
3
0
3
1
1
0
3
1
3
3
3
3
3
0
0
0
3
3
0
1
3
1
3
3
1
2
3
0
0
3
1
1
3
3
3
1
2
0
0
0
1
0
1
1
0
0
0
3
2
0
2
1
3
1
1
3
0
0
3
3
2
3
2
2
3
3
2
1
1
1
1
0
1
1
0
0
0
3
0
0
1
2
0
1
1
0
3
2
2
1
2
2
2
1
3
1
2
2
3
0
2
3
2
3
1
3
2
0
2
3
0
1
3
1
0
0
2
3
2
1
2
2
1
1
2
3
3
1
1
3
1
1
3
2
2
0
3
3
3
3
0
2
0
3
0
2
3
1
3
3
1
1
1
3
3
1
0
3
1
3
2
2
3
2
2
2
2
0
3
3
1
1
1
1
1
3
0
3
1
2
0
2
3
1
0
2
0
1
1
1
2
2
3
3
0
0
3
0
0
2
3
2
3
0
2
1
0
3
0
0
2
0
0
0
1
0
3
3
3
3
0
1
0
1
3
0
0
0
2
1
0
1
1
1
1
1
2
2
2
3
0
3
1
1
0
1
2
1
1
2
1
1
1
1
1
3
1
2
0
0
0
1
1
0
1
3
1
0
1
3
3
0
3
2
2
3
0
1
3
1
3
2
2
0
1
1
0
2
0
2
1
3
2
3
1
2
3
0
0
2
3
1
1
2
0
3
0
0
1
0
1
1
1
1
0
3
0
2
0
0
2
2
1
2
0
1
1
1
2
3
0
1
1
2
0
1
0
0
0
3
0
2
2
2
0
0
1
3
2
0
2
3
2
3
1
1
0
3
3
1
1
0
0
3
3
0
3
3
0
0
0
0
3
1
3
3
0
2
3
1
0
0
0
2
1
3
1
1
0
1
0
3
0
3
0
3
3
2
3
3
0
1
3
2
1
3
2
3
2
3
2
1
1
1
0
1
0
2
2
2
2
3
2
2
3
3
0
0
0
3
3
2
0
3
2
1
3
3
1
0
2
0
2
0
1
3
3
0
2
1
3
0
1
0
0
3
1
3
3
3
0
0
3
2
3
2
0
2
3
2
0
1
3
3
1
3
0
0
2
0
2
1
3
1
1
3
0
2
0
1
2
3
0
2
0
2
0
0
1
1
1
0
0
1
3
3
2
1
0
0
3
0
3
0
2
3
1
1
2
1
0
0
2
3
2
3
1
0
0
0
1
1
2
1
0
2
3
1
3
3
3
1
0
0
2
1
2
0
1
1
1
1
1
2
0
3
3
1
3
1
2
3
3
1
1
2
2
0
2
1
2
1
1
1
1
2
3
3
0
1
3
3
2
2
0
2
3
2
0
3
1
1
2
2
3
0
3
1
0
3
1
1
1
1
0
3
0
1
1
1
0
3
2
2
1
2
3
1
1
1
0
3
3
1
0
0
2
3
1
1
2
2
0
1
3
0
2
2
2
3
1
2
0
3
3
1
0
2
2
2
3
2
0
3
0
3
0
1
0
1
3
2
0
1
3
3
3
2
1
0
2
3
3
3
0
3
0
0
0
3
1
1
2
1
0
2
2
3
0
3
2
2
2
3
2
0
1
0
3
3
2
0
0
3
0
1
0
0
2
1
2
0
0
1
1
2
3
3
0
2
1
2
1
2
3
0
3
3
3
0
1
1
0
0
1
0
3
3
3
1
0
3
1
3
3
2
0
1
0
3
3
1
1
0
3
1
3
3
3
3
2
0
2
2
2
2
3
3
0
3
3
1
1
0
3
0
2
2
1
3
2
1
2
1
2
3
3
2
3
3
3
0
3
2
0
0
2
3
0
2
3
3
0
1
2
3
3
0
3
1
1
3
0
0
0
1
0
2
0
0
0
1
1
2
2
0
1
1
2
1
2
2
3
3
1
1
2
2
1
1
1
2
3
2
2
3
3
0
0
0
0
3
0
3
3
1
1
2
0
2
3
0
0
0
1
2
3
2
3
1
3
3
0
1
1
3
1
2
1
1
1
3
3
2
3
3
1
0
2
2
0
3
0
2
0
3
1
3
3
0
0
3
1
2
1
3
0
0
0
1
0
3
1
1
2
2
1
1
0
3
1
1
1
0
3
0
2
0
3
3
0
0
1
1
0
1
3
1
1
3
1
2
3
0
3
0
1
2
0
0
1
3
3
1
3
3
1
1
1
1
3
1
1
3
3
2
1
3
0
2
1
2
2
3
1
0
3
3
1
1
0
0
0
3
0
0
3
0
3
3
3
2
2
2
1
3
2
3
2
2
2
0
1
3
1
3
0
3
3
3
1
3
2
1
2
2
0
0
2
2
2
0
0
1
0
1
3
2
2
2
1
2
0
3
1
0
3
3
0
2
1
2
1
1
2
0
3
1
1
1
2
1
2
1
2
2
3
3
2
0
1
2
2
1
1
1
2
3
1
0
0
2
3
3
0
1
3
1
0
0
3
2
0
1
0
3
3
1
3
0
2
0
0
3
2
3
3
3
3
0
2
1
1
2
0
2
2
0
3
3
2
2
0
3
3
0
2
1
0
2
2
3
2
3
3
3
3
2
3
2
3
1
3
0
0
3
0
1
0
0
0
2
2
0
1
0
3
2
1
0
3
2
0
2
3
1
0
2
0
1
0
0
3
0
0
0
0
2
0
1
1
3
0
0
2
1
1
0
2
3
2
1
2
2
1
1
1
3
3
2
0
0
3
1
2
1
3
2
0
3
0
3
2
1
2
1
0
3
2
0
3
1
1
2
2
0
0
2
2
0
1
3
3
0
3
3
0
3
0
3
1
0
3
2
3
0
3
2
3
3
3
1
1
3
3
1
3
1
0
3
3
0
3
3
3
1
3
0
1
0
0
0
2
3
0
0
0
1
0
0
3
0
0
2
1
1
1
2
0
3
1
3
0
1
1
1
2
2
3
3
1
0
1
0
1
3
3
1
2
3
0
1
0
2
3
0
3
1
2
2
3
1
1
1
3
0
3
0
0
2
0
0
0
1
3
3
3
0
1
1
3
2
3
0
0
3
0
0
3
3
2
1
0
0
3
3
1
1
0
3
2
0
3
2
2
1
1
2
0
0
0
1
2
3
2
0
3
0
0
3
1
3
3
3
3
3
3
0
2
0
3
2
2
3
0
3
1
2
0
2
1
3
1
3
1
0
1
1
3
0
2
1
1
0
2
2
2
3
0
0
0
0
3
2
1
3
0
2
0
2
3
3
2
3
0
2
3
0
3
3
1
2
0
3
3
3
0
2
3
2
2
1
1
1
3
0
3
2
0
1
2
2
1
0
3
1
1
0
0
2
2
2
3
3
1
0
0
1
3
2
3
0
0
2
3
3
3
3
2
2
2
0
2
3
2
1
1
0
3
0
1
1
0
3
0
0
3
0
2
1
0
2
3
1
0
3
2
3
3
3
1
0
0
3
3
3
0
1
0
0
1
1
3
3
2
3
3
3
2
2
3
0
2
2
2
1
2
3
2
2
1
3
3
3
2
3
2
0
1
0
1
1
1
2
3
2
3
1
3
0
0
3
3
1
2
2
3
0
1
1
3
3
3
3
1
2
3
3
1
3
0
3
3
3
0
0
0
3
3
3
3
3
3
3
3
3
3
3
2
0
0
2
0
2
0
0
1
0
3
1
3
1
0
1
3
0
2
0
1
1
2
0
0
1
1
0
2
2
1
2
1
1
0
3
3
2
3
3
2
1
3
2
1
0
0
0
3
0
3
0
3
3
1
1
0
2
3
2
2
3
2
2
3
1
2
1
0
0
2
0
0
3
3
2
3
1
2
2
1
3
1
0
2
1
2
3
1
3
3
3
0
0
2
0
3
2
1
0
0
3
2
1
2
0
0
3
1
0
3
3
0
2
1
1
3
2
1
0
1
3
1
1
0
1
2
3
1
2
2
1
1
0
2
2
3
1
1
3
3
3
2
3
2
1
3
1
1
2
1
1
3
2
2
3
0
2
0
3
3
2
0
3
0
2
3
2
3
3
3
1
2
3
1
2
2
2
1
3
3
3
2
1
0
2
3
0
1
0
0
3
3
1
0
1
2
3
1
3
3
3
3
0
3
0
0
0
0
3
0
3
0
3
3
3
3
2
1
3
1
3
2
1
1
1
3
1
0
3
1
3
1
2
1
0
0
0
3
0
2
2
0
3
1
1
0
2
3
1
3
2
2
1
3
3
0
2
3
3
0
0
0
2
3
1
0
1
1
0
1
1
2
1
3
3
0
0
0
1
1
0
3
3
0
0
1
0
0
3
3
2
1
2
3
2
0
3
2
3
0
1
1
2
1
3
3
3
0
3
1
2
2
0
2
2
3
0
1
2
2
1
1
0
3
2
2
1
0
3
3
1
3
1
0
2
3
0
3
1
3
2
0
1
0
2
0
2
0
2
0
3
0
3
2
0
3
0
2
1
3
2
1
3
3
0
2
0
2
1
0
3
1
0
3
2
3
3
0
1
0
3
2
1
2
0
3
2
3
0
2
1
1
1
1
1
1
1
3
1
1
0
2
0
3
2
1
1
1
1
3
3
3
0
0
3
0
0
0
0
2
0
2
0
1
2
2
2
3
2
2
1
0
0
0
0
2
2
0
3
2
2
3
2
0
1
0
0
0
2
2
0
1
3
2
1
3
3
3
2
1
3
0
3
2
1
3
1
2
1
3
1
3
1
3
2
0
3
1
0
0
0
1
2
2
1
3
1
0
2
2
2
1
0
0
1
3
3
3
1
0
1
2
3
1
0
3
1
2
2
2
3
3
3
1
0
0
0
1
2
0
0
3
0
0
3
3
0
3
0
1
3
3
3
3
3
0
1
1
1
2
1
2
2
2
0
3
1
3
1
3
3
3
3
3
1
1
1
0
2
1
3
1
2
1
3
0
3
3
1
0
1
1
3
0
0
0
0
2
3
3
2
3
2
0
0
2
1
3
2
1
0
0
1
1
2
0
1
2
2
0
0
0
2
1
3
0
3
2
3
3
3
2
0
0
3
2
3
3
3
1
2
1
3
3
3
2
2
2
1
3
0
1
0
0
2
0
1
1
2
1
3
0
0
1
3
0
2
2
1
0
1
3
3
0
2
1
2
2
2
2
0
0
2
0
0
2
2
0
3
0
3
2
0
2
2
0
3
1
1
3
1
1
0
0
2
1
1
1
3
1
1
0
0
1
0
3
3
3
2
1
3
3
1
1
1
3
3
1
2
3
0
3
0
3
1
0
1
0
0
0
0
0
0
0
3
1
1
1
3
3
2
1
1
3
1
2
3
3
2
3
1
1
3
0
3
3
3
0
1
3
0
1
3
3
0
1
2
1
3
3
3
1
3
3
1
1
1
0
3
0
0
2
1
2
0
1
0
0
2
2
3
3
1
0
1
1
3
2
1
3
1
2
3
3
3
3
1
3
0
1
1
3
2
2
2
0
3
3
3
3
0
2
0
1
1
3
0
0
0
3
3
0
0
1
1
1
0
1
0
1
3
2
0
0
3
3
0
0
2
3
2
0
2
3
0
0
1
0
3
1
2
2
3
0
1
0
0
0
1
3
3
3
1
1
0
1
2
3
3
1
1
1
1
2
1
1
3
3
1
0
0
0
0
0
3
1
0
1
0
2
2
1
2
0
0
0
0
1
3
3
3
2
1
3
2
1
1
1
1
2
0
1
3
3
0
1
3
3
1
0
1
2
2
3
1
2
0
0
0
0
1
3
1
1
3
2
3
0
2
3
1
3
1
2
3
2
2
1
0
2
0
3
1
1
3
2
3
2
3
1
2
2
0
2
2
0
0
3
3
3
2
3
0
0
2
2
2
3
2
3
1
2
0
0
1
1
3
3
3
1
0
3
3
1
3
3
1
3
2
2
3
1
1
1
3
1
0
0
2
1
1
0
2
1
1
2
1
1
0
3
3
3
1
3
1
3
1
0
2
1
2
1
1
0
2
3
0
1
0
0
3
1
3
2
2
0
1
1
2
1
3
3
3
0
0
1
0
3
3
3
2
3
3
3
3
3
1
0
3
3
1
2
2
1
0
2
0
3
2
2
2
1
1
3
0
1
2
1
2
1
3
2
1
0
0
0
2
1
2
0
0
0
1
1
1
0
2
3
2
0
1
2
0
0
1
1
3
2
0
1
1
1
0
0
0
3
2
2
1
1
3
2
3
1
3
0
3
1
1
1
3
3
1
2
0
3
2
3
1
3
0
0
0
0
1
2
2
0
0
1
3
3
0
1
0
0
2
1
1
2
0
2
0
1
1
3
1
0
3
0
0
3
3
1
2
1
1
0
2
3
3
2
1
2
3
1
0
0
1
1
3
1
0
0
1
3
0
2
1
0
2
0
1
3
1
3
1
1
1
3
2
3
2
3
0
1
1
0
1
3
1
1
1
0
0
0
0
3
1
1
3
1
2
3
0
2
2
0
0
3
0
1
2
2
3
0
0
3
3
0
1
1
2
2
2
3
2
3
0
0
0
3
1
3
0
1
1
2
3
3
3
3
0
0
3
0
0
0
0
3
3
3
3
1
0
3
2
1
3
3
2
3
3
3
0
3
1
0
0
1
1
0
3
0
3
0
1
0
1
0
1
2
3
1
0
3
2
0
0
0
1
0
3
2
1
2
2
2
0
0
1
3
3
3
3
3
1
0
2
3
2
2
2
0
0
3
1
1
0
0
1
3
2
1
2
0
0
1
2
0
1
0
3
2
0
3
2
0
0
2
0
0
0
3
3
1
3
0
0
1
3
1
1
2
1
2
3
2
0
1
1
3
3
3
3
0
2
2
0
0
0
2
2
0
2
3
2
0
1
0
2
1
0
1
1
1
1
0
2
0
0
0
2
3
3
1
3
2
1
1
1
2
3
1
0
1
3
1
0
3
1
3
1
1
2
2
1
3
1
3
0
2
0
0
0
2
2
2
1
0
0
0
2
0
2
0
1
3
0
2
2
3
1
0
0
0
1
2
1
2
2
3
3
3
3
0
3
0
2
0
0
2
0
0
1
3
2
2
2
0
1
2
0
1
1
2
0
0
0
0
3
2
0
0
2
2
1
2
2
0
0
2
0
3
1
2
1
0
2
0
2
1
3
0
0
1
0
0
0
3
3
0
0
2
0
3
2
3
3
3
3
1
2
3
1
0
0
0
1
1
0
2
3
0
2
2
0
0
1
0
2
0
1
3
3
3
2
1
1
1
2
1
3
0
3
2
0
0
1
1
2
3
3
2
1
2
0
3
0
1
2
3
1
1
3
0
3
3
3
0
0
0
0
0
2
1
1
3
2
0
3
3
0
3
3
3
0
3
1
1
1
3
1
3
0
2
3
3
3
2
0
2
3
2
3
3
3
3
2
3
2
1
1
3
2
0
3
2
3
3
0
2
2
2
2
0
3
1
0
3
0
1
1
2
3
0
1
1
0
3
1
2
1
2
1
3
0
1
3
1
0
0
3
1
3
3
3
3
3
3
3
2
3
3
1
2
3
2
2
1
0
3
3
0
1
1
0
0
3
1
2
0
3
1
2
2
2
0
3
3
3
3
0
3
1
3
1
0
1
3
2
0
0
2
1
0
0
1
1
2
0
0
0
3
1
0
0
0
3
2
3
2
0
0
2
1
1
1
2
2
0
0
2
0
2
2
0
0
1
2
3
1
1
0
3
2
0
0
0
0
1
2
0
3
3
1
2
1
2
2
0
2
0
3
2
2
2
3
3
0
1
2
2
0
0
1
3
3
3
2
2
2
2
1
1
1
2
3
0
3
0
0
2
1
3
1
0
0
3
2
3
3
2
2
1
0
3
3
0
2
2
3
3
0
0
3
2
0
2
0
3
0
1
3
1
3
2
2
0
0
2
1
3
1
2
0
3
2
1
3
0
3
1
3
1
3
0
2
1
2
0
1
0
1
0
2
3
1
1
3
1
3
0
1
2
2
2
3
0
1
1
1
3
2
1
2
1
0
3
3
3
3
3
0
3
1
0
3
3
0
3
2
0
3
0
3
0
1
2
3
3
3
1
3
0
2
1
1
2
3
0
0
3
0
0
2
3
1
1
2
1
0
3
3
3
0
2
2
0
2
0
1
2
2
2
3
2
0
2
3
2
2
2
2
1
1
1
0
1
2
0
1
0
2
0
3
1
0
0
2
0
0
2
3
0
0
0
3
0
2
3
0
0
3
2
2
2
0
3
1
0
2
1
0
2
3
2
3
2
3
3
2
1
3
2
1
2
2
2
1
3
0
3
0
0
0
0
2
3
1
3
0
0
1
0
2
3
1
1
1
1
1
3
3
0
3
0
3
0
3
3
3
1
2
1
3
3
3
0
0
2
3
0
1
3
2
0
3
2
0
3
1
3
3
3
1
2
3
0
1
3
2
1
3
2
3
2
3
1
3
0
3
2
2
3
0
1
1
2
0
0
3
0
3
0
1
1
1
1
3
1
0
0
2
2
1
3
1
0
0
0
1
0
1
2
2
2
1
0
0
1
1
1
3
3
3
3
3
3
3
2
1
3
3
3
3
3
0
3
1
2
3
0
3
3
0
0
3
3
2
2
1
1
0
3
0
3
2
3
2
2
2
0
2
1
1
1
1
1
1
1
3
2
1
1
3
3
3
0
0
3
3
3
0
0
3
3
2
0
0
1
3
1
1
1
0
3
3
3
2
3
3
3
1
3
3
2
0
1
3
3
1
1
2
0
0
1
3
0
1
0
1
1
1
3
2
3
1
2
3
2
3
1
1
0
3
0
2
2
0
0
1
1
2
1
2
3
1
1
1
2
3
3
1
3
1
1
0
2
2
0
0
0
0
0
0
0
3
0
1
3
0
3
0
3
2
2
3
2
2
1
1
3
1
0
1
0
0
3
0
0
0
2
2
3
0
3
3
0
1
2
0
0
3
1
3
3
3
0
0
1
3
3
3
3
0
0
0
2
1
2
1
0
0
0
3
3
1
1
2
0
3
1
0
3
2
3
2
3
3
1
3
1
3
1
1
3
2
3
0
0
1
2
2
2
0
1
1
3
1
2
1
3
3
3
2
3
3
3
0
3
1
0
0
0
0
1
1
2
0
1
3
3
3
2
3
3
0
2
0
1
1
2
3
3
0
3
0
3
3
2
2
0
1
0
2
0
3
0
3
3
3
2
3
1
2
2
1
1
3
1
0
2
2
1
3
3
2
2
3
0
0
0
2
0
3
3
0
3
1
2
3
3
1
0
0
3
2
3
2
1
1
3
2
2
2
0
3
0
0
0
1
1
3
1
0
3
1
0
0
1
0
0
0
3
3
1
2
0
2
3
0
0
0
0
0
2
0
0
0
2
2
3
3
0
2
0
0
2
3
1
1
3
2
2
2
2
2
0
3
0
2
1
0
3
3
0
2
0
0
3
1
2
0
1
2
3
3
2
1
2
2
1
3
3
2
3
3
0
2
0
2
0
0
3
1
2
3
0
0
3
3
2
1
2
3
1
1
1
1
3
2
0
2
3
0
2
2
2
3
0
2
2
2
2
1
0
2
3
3
3
3
0
1
3
0
2
3
0
3
3
0
0
0
3
3
1
1
1
2
3
1
2
3
2
0
3
2
1
0
0
0
0
3
2
3
3
3
3
2
3
1
1
1
0
3
2
1
0
3
0
2
3
0
3
3
1
3
3
2
2
1
3
3
2
1
3
3
2
2
2
3
1
0
2
2
0
3
0
1
3
3
3
3
3
3
0
1
3
1
3
0
2
3
0
2
0
0
1
3
2
3
3
0
2
1
0
0
2
3
0
3
1
3
0
3
3
0
3
1
3
3
2
3
3
3
0
2
3
1
0
1
1
0
0
2
2
3
2
3
2
0
1
1
0
1
0
1
1
0
0
1
0
2
1
0
0
0
2
1
0
3
3
1
3
2
2
3
0
0
1
3
3
2
1
3
1
2
1
1
1
3
1
1
0
2
3
0
2
0
2
1
0
2
1
0
1
3
0
2
1
3
0
3
1
2
2
0
1
3
3
0
2
1
0
3
2
3
2
2
1
2
1
2
1
2
3
3
0
1
3
3
3
1
0
0
3
3
0
3
2
1
1
2
2
3
3
3
0
1
0
0
3
0
0
1
1
3
0
2
0
3
3
2
2
2
2
1
1
1
0
1
3
1
3
2
0
2
2
2
2
1
1
1
0
3
1
0
0
3
1
3
3
3
1
1
2
3
1
0
3
0
2
0
2
3
1
1
3
0
0
0
0
1
0
2
2
3
2
1
1
0
2
0
0
2
1
1
3
0
3
3
0
3
3
0
1
1
3
3
3
2
0
2
0
0
2
3
3
1
0
3
0
3
3
0
2
2
0
2
0
1
3
0
0
3
2
3
0
0
3
1
3
0
3
1
2
2
0
2
3
1
1
3
3
2
2
2
1
2
1
0
0
1
1
2
3
3
1
3
1
1
1
1
1
1
1
1
1
3
3
2
0
2
3
2
3
1
2
1
0
1
3
0
1
0
3
3
1
3
1
3
1
3
2
2
3
2
1
3
1
3
3
2
0
0
2
0
0
3
2
2
0
3
1
2
1
2
3
0
0
2
0
3
3
2
1
2
0
0
1
0
3
0
0
0
0
1
3
0
1
2
3
3
0
3
0
2
0
3
2
3
2
2
3
2
2
2
2
3
1
0
0
2
3
2
2
3
2
1
1
3
0
0
1
3
2
1
3
1
0
0
1
1
0
0
0
3
3
0
1
0
3
0
0
2
1
1
1
0
0
1
1
0
0
2
3
2
1
3
2
2
2
2
2
0
0
3
3
2
3
1
3
0
2
3
1
1
1
1
1
3
1
0
0
1
1
0
0
2
0
3
0
1
0
2
0
3
3
3
0
3
1
3
0
3
0
1
1
1
1
3
0
0
2
1
2
3
3
3
0
1
2
0
2
0
0
1
2
2
3
2
1
1
3
3
3
2
0
2
1
0
3
2
2
0
0
3
0
3
2
0
0
0
3
1
0
1
3
0
0
0
0
0
3
1
1
0
0
3
1
1
3
1
2
2
3
0
1
2
0
1
0
1
3
2
2
1
2
0
2
2
3
3
1
2
3
1
0
0
0
1
1
1
3
1
3
0
2
3
2
3
2
2
3
0
0
1
0
2
1
1
3
0
3
1
1
3
2
3
3
0
0
3
0
3
0
3
0
0
1
1
2
0
1
0
3
0
0
2
1
0
1
0
3
2
3
0
2
2
3
2
3
3
3
3
3
3
0
3
3
1
3
3
2
2
1
0
2
2
1
3
0
1
2
3
3
3
0
0
0
0
0
3
2
0
0
3
3
3
2
2
2
3
0
0
2
0
2
3
3
3
1
2
1
2
3
3
1
1
3
2
3
3
0
3
0
1
3
1
3
1
1
3
1
3
0
2
3
1
1
3
0
0
0
1
0
1
2
3
1
2
0
0
0
0
2
3
1
2
1
0
2
2
2
0
3
3
2
2
3
3
2
0
0
0
1
1
3
2
0
0
2
0
3
0
0
0
2
2
3
2
2
2
2
3
2
1
2
3
0
2
3
1
0
3
2
1
3
3
1
1
3
1
3
0
1
2
3
3
1
1
2
1
3
2
1
2
3
2
2
3
2
0
1
0
1
0
3
3
1
1
0
0
2
3
2
2
2
2
2
1
2
3
3
3
1
1
0
2
2
0
0
2
1
3
0
1
3
1
1
0
1
1
1
3
1
2
3
2
2
2
3
3
1
2
0
0
3
2
0
0
1
1
1
1
3
3
1
2
0
3
2
0
2
0
3
0
0
1
2
2
1
0
0
0
1
0
1
3
1
3
1
3
3
3
1
0
0
2
2
2
3
1
1
2
3
3
3
2
3
2
3
3
3
3
2
0
1
3
3
3
0
3
1
0
0
3
1
3
3
0
3
1
3
3
2
1
1
3
1
1
3
2
1
0
3
3
3
3
2
2
0
2
2
0
0
3
3
2
2
2
1
2
1
0
2
2
3
2
1
3
3
2
1
3
1
0
0
1
3
3
2
0
3
0
2
0
0
2
3
3
3
2
0
0
1
0
0
0
3
2
2
1
0
3
3
1
3
3
2
1
2
1
0
2
0
2
3
1
1
2
0
2
1
3
0
3
0
2
2
3
2
3
3
2
3
0
2
0
0
3
2
1
3
2
2
3
3
2
2
2
0
2
3
0
1
3
3
1
0
2
1
0
1
1
1
0
1
1
3
1
1
3
3
1
3
2
3
1
0
3
0
2
2
2
2
1
0
3
0
3
3
0
0
0
2
3
1
0
1
0
3
1
0
0
2
1
2
3
3
1
2
1
0
0
0
2
0
0
2
0
3
3
3
1
3
1
3
1
3
2
0
1
0
1
0
2
1
2
2
2
0
2
2
2
1
0
2
1
1
1
3
2
2
0
0
0
3
1
3
2
3
3
3
0
2
2
3
0
2
2
2
1
2
1
0
3
2
1
1
0
0
0
3
1
0
1
0
0
0
1
3
3
1
3
1
2
3
2
3
3
0
0
2
3
0
0
3
3
0
3
3
3
0
3
1
2
3
0
0
3
3
1
2
1
2
0
3
0
2
2
1
3
2
1
2
0
3
0
0
0
0
0
0
0
3
3
2
2
1
1
1
0
3
1
3
1
3
3
0
0
1
3
3
0
0
0
3
1
3
3
0
3
2
0
0
0
1
3
1
0
3
2
1
2
2
1
3
0
2
1
3
3
1
3
3
3
3
3
1
0
3
1
3
1
1
0
0
1
0
2
3
1
3
0
0
2
0
2
2
2
3
0
1
1
3
0
0
0
3
3
2
1
1
3
1
2
2
0
3
3
3
3
2
3
1
3
3
3
1
3
3
2
1
3
3
3
2
3
3
0
0
3
1
1
2
1
0
2
3
2
2
1
3
1
0
0
1
2
2
2
1
1
1
1
3
3
0
0
0
1
3
3
2
0
0
0
0
0
3
2
2
1
2
2
1
3
1
0
1
0
0
2
2
3
0
1
3
3
0
1
2
3
2
0
2
2
0
3
1
0
0
3
0
1
1
3
1
1
1
0
1
3
3
2
0
0
2
0
3
1
1
1
3
3
0
2
2
1
3
0
0
3
0
1
1
1
3
3
3
1
2
2
1
1
3
2
1
0
2
3
3
0
3
0
3
1
3
3
3
0
0
0
2
2
3
1
1
1
3
1
0
3
1
1
1
3
0
0
1
3
0
0
0
1
3
3
3
1
2
1
0
2
1
3
1
2
1
2
2
1
1
1
3
0
0
0
1
3
2
3
3
1
2
2
3
1
1
3
1
0
0
0
1
3
1
2
0
0
1
2
3
1
1
3
1
3
2
0
3
3
1
3
3
1
2
2
0
0
3
2
2
2
3
3
3
3
1
1
1
3
0
1
1
1
1
0
3
1
1
1
2
2
0
3
3
1
3
2
0
3
1
0
0
3
0
3
1
1
1
3
0
2
1
1
0
1
0
3
2
2
1
3
1
1
0
1
2
3
0
3
3
0
0
3
3
3
3
1
2
2
1
3
3
1
1
0
1
0
2
0
2
2
1
2
1
1
0
2
1
1
0
0
2
1
3
0
2
3
3
1
0
3
1
2
3
2
1
3
1
0
2
2
2
0
3
3
0
0
0
3
3
0
3
0
0
1
0
3
2
2
3
1
0
1
1
0
3
1
3
3
1
0
0
3
2
2
1
0
2
2
3
0
3
3
1
2
2
2
2
3
1
1
0
3
3
1
1
0
0
1
3
2
3
3
1
3
3
2
2
2
0
1
1
0
1
3
1
1
3
1
3
0
3
3
0
1
1
2
3
2
3
0
1
1
3
2
1
1
2
2
1
3
0
3
3
3
3
0
0
3
3
1
3
0
2
0
1
2
1
0
3
0
3
0
0
0
0
0
3
1
1
1
1
3
0
2
2
3
3
0
0
3
3
0
3
2
2
2
0
2
3
3
2
2
1
3
3
3
3
0
3
0
1
3
0
0
2
0
3
2
3
2
3
0
0
2
3
0
0
0
0
3
0
3
2
0
0
1
0
3
2
1
2
3
2
1
2
0
1
0
2
1
0
2
3
3
3
1
3
0
1
1
2
3
3
0
2
0
1
3
3
2
3
3
1
3
2
0
0
1
3
1
0
3
1
0
0
0
1
1
2
2
2
1
3
2
3
1
3
3
1
1
1
1
0
3
2
1
2
1
1
3
3
1
0
1
3
0
0
1
2
1
0
0
0
1
3
3
2
2
2
2
0
3
1
2
2
0
1
0
3
2
0
0
0
2
0
2
2
1
1
2
1
3
3
1
1
1
3
1
2
2
2
0
1
3
3
3
0
2
0
0
1
1
0
0
3
2
2
2
0
3
1
0
3
0
2
0
0
0
0
1
0
3
3
0
0
3
0
2
3
0
2
1
1
0
1
0
1
3
1
1
1
3
1
0
2
0
0
0
2
1
1
3
0
3
1
0
2
3
0
0
2
3
1
3
1
1
1
0
0
0
3
2
1
3
1
0
1
1
3
3
1
1
1
2
0
1
3
3
3
3
3
1
0
3
0
2
2
3
2
1
0
1
3
3
3
1
1
3
3
1
0
1
1
1
0
0
1
3
0
3
3
2
2
1
1
1
1
1
2
1
3
3
2
3
0
0
1
1
1
3
0
0
1
3
1
1
3
0
3
0
2
0
0
1
0
2
0
2
3
3
0
3
2
0
0
3
3
0
3
2
0
0
2
0
2
1
2
0
2
3
0
0
3
3
0
2
1
2
0
2
0
2
3
2
2
1
1
0
0
0
2
3
3
1
3
3
0
2
3
3
3
0
2
3
1
1
0
1
1
3
0
3
3
3
2
1
3
0
0
0
1
2
3
3
0
2
1
0
2
2
1
1
3
1
0
1
3
1
3
1
1
3
3
3
1
2
0
3
3
2
0
2
3
0
3
1
1
1
1
1
1
0
3
3
3
3
3
3
3
0
0
2
2
3
0
0
0
0
0
1
1
1
3
2
2
2
1
2
3
3
0
0
3
0
1
1
0
0
0
3
0
2
1
1
3
3
2
2
0
2
2
0
3
3
1
2
1
3
1
3
2
0
3
3
0
1
3
3
0
3
3
2
3
1
1
3
3
0
1
0
2
3
3
0
2
2
0
0
0
0
2
2
2
0
0
3
3
3
1
1
1
0
1
3
3
0
0
3
0
3
2
2
2
2
0
0
3
1
1
3
2
0
0
0
3
0
3
2
1
0
0
2
2
0
1
2
1
3
1
2
3
2
3
2
2
3
3
3
2
0
0
0
1
2
0
0
1
1
1
0
3
1
2
2
0
3
1
1
0
3
3
3
1
3
1
2
0
0
2
2
2
2
0
1
0
0
1
2
0
0
1
2
3
0
1
3
2
1
3
0
2
2
2
1
1
3
2
1
2
1
0
0
2
1
0
2
3
3
0
3
2
2
2
0
1
2
2
3
0
0
3
0
1
3
0
0
0
3
3
2
3
1
1
3
2
1
3
2
0
3
2
3
1
2
1
0
0
0
1
0
0
2
3
3
3
1
1
3
3
0
2
0
3
1
0
3
2
3
2
2
2
0
3
2
3
1
0
2
0
2
2
1
2
0
3
1
1
3
3
2
2
3
0
1
0
2
2
3
3
0
1
0
0
3
0
3
1
2
1
3
1
3
2
3
0
0
3
1
1
1
3
3
1
0
0
2
0
2
3
3
3
1
2
3
1
1
3
0
3
1
2
1
1
0
2
2
2
1
1
2
2
2
1
3
2
1
3
0
0
2
3
2
2
2
2
3
3
3
1
1
0
1
1
3
0
3
2
1
2
3
2
2
0
3
0
0
3
2
0
2
2
0
2
2
0
0
2
3
3
1
1
3
3
3
2
2
2
1
0
1
1
2
3
3
0
2
1
3
3
2
1
3
1
3
3
2
2
2
3
3
0
1
3
3
2
1
0
2
3
1
3
1
0
1
2
2
1
2
3
3
0
0
2
0
0
1
0
0
1
3
2
3
2
2
3
1
1
3
3
3
3
3
0
1
3
1
2
1
1
1
1
0
0
0
0
1
3
0
0
0
0
0
1
0
3
3
3
0
1
1
0
3
0
2
2
3
3
1
3
3
0
1
2
0
3
3
0
2
2
1
1
1
1
0
2
3
2
3
0
1
2
2
0
1
2
3
3
3
0
3
0
0
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
0
1
1
3
2
0
3
1
3
3
0
3
0
2
0
3
2
2
1
3
1
2
3
1
2
3
0
0
2
0
3
1
3
1
3
0
0
0
2
3
3
3
1
3
3
0
0
2
1
1
3
3
2
3
2
2
1
3
3
1
1
1
3
3
0
0
1
3
0
1
0
0
2
2
0
3
3
2
2
3
3
2
0
3
2
0
3
3
3
2
0
0
1
0
3
3
3
0
3
0
1
2
1
0
1
0
2
2
3
2
3
3
1
1
0
2
0
1
1
3
3
1
0
3
1
0
3
1
2
0
2
0
0
1
2
0
2
1
2
0
0
0
0
2
3
2
0
0
3
0
3
1
1
3
0
2
3
3
0
0
1
3
1
0
3
1
2
0
0
2
0
1
3
3
2
3
3
2
1
0
1
2
0
0
2
1
1
0
0
2
0
1
2
2
1
2
2
3
1
0
1
0
2
3
1
2
3
3
0
0
3
1
3
1
2
0
2
0
3
2
0
1
0
0
0
0
2
1
2
2
1
1
2
1
3
1
0
3
0
2
0
2
0
0
0
0
0
0
1
1
0
0
3
1
2
2
3
2
0
3
1
1
3
0
2
2
2
0
0
2
0
2
0
3
2
3
1
1
2
3
3
3
0
3
0
1
3
2
1
1
1
2
2
2
2
2
0
3
3
3
1
0
0
2
2
0
2
1
0
2
2
2
0
2
3
2
1
0
1
1
3
0
0
0
2
3
3
3
3
3
1
1
0
2
3
0
1
3
3
1
3
0
2
2
0
0
0
0
0
2
3
3
3
1
1
1
1
2
0
0
2
3
0
1
0
3
3
3
3
2
3
2
2
3
3
0
0
2
2
1
2
3
1
3
3
0
3
3
3
0
0
1
1
2
2
2
3
0
1
3
2
1
3
1
1
1
2
0
2
2
0
1
2
1
3
0
0
1
2
3
2
2
1
1
1
1
2
0
0
3
3
2
2
2
2
2
3
1
1
1
3
3
1
0
0
2
3
2
2
3
3
0
1
1
0
1
0
3
1
0
0
1
0
1
2
2
0
2
2
3
3
0
0
1
3
2
0
1
3
3
3
2
2
2
2
3
0
0
0
3
0
3
3
3
3
0
3
1
1
1
2
0
0
1
3
2
1
1
3
0
0
1
0
3
2
2
3
2
3
3
0
1
2
3
3
0
2
0
0
0
1
1
0
2
3
2
2
0
1
0
1
0
3
3
1
0
3
3
1
2
2
1
1
0
0
0
0
1
3
3
0
3
3
3
1
3
0
0
3
3
0
0
3
2
3
3
2
3
0
1
2
3
3
3
3
3
1
1
3
1
2
1
0
1
0
1
3
3
1
1
0
2
3
0
1
0
2
3
3
3
3
2
3
1
1
0
1
1
2
2
2
1
1
1
0
3
0
3
2
0
0
1
0
2
3
1
1
3
0
1
1
1
0
2
1
0
0
3
2
2
2
1
3
0
3
0
3
1
2
1
1
3
0
3
2
1
0
0
0
0
0
0
2
1
3
0
1
0
3
0
2
2
1
2
0
1
2
2
0
0
2
2
3
1
0
0
0
3
3
3
3
3
3
3
3
2
1
3
3
2
1
1
1
0
0
0
0
1
1
3
2
2
1
0
0
0
2
3
0
2
0
2
3
2
1
3
1
3
3
2
1
1
3
0
1
0
0
1
1
0
3
0
0
3
1
1
1
2
1
0
0
0
3
3
1
1
0
1
3
1
1
0
3
3
0
0
1
3
0
1
1
1
2
1
0
2
1
3
2
3
1
0
0
1
1
0
0
2
2
0
0
1
3
3
1
0
2
0
2
2
2
0
2
0
3
3
0
1
0
3
3
2
2
3
0
3
2
1
3
3
0
3
3
1
3
0
0
0
1
2
1
0
0
3
0
1
0
1
3
1
1
2
1
0
0
1
1
0
0
2
3
3
3
2
1
2
2
3
1
3
2
1
1
1
3
3
2
0
1
2
0
0
1
0
0
0
0
3
0
1
1
3
1
3
1
0
0
2
1
2
0
3
1
2
2
2
2
1
2
2
2
2
0
0
3
2
1
3
3
2
2
0
0
2
2
0
1
0
0
2
1
0
3
0
3
0
0
3
2
1
0
1
0
0
2
3
1
3
0
3
3
3
3
3
3
1
1
2
2
2
3
0
0
3
2
2
3
0
0
1
0
1
2
3
0
0
3
3
3
3
2
1
1
3
0
3
3
0
3
1
3
2
1
3
3
0
2
1
1
1
1
3
0
1
3
0
0
3
0
1
0
0
2
3
0
2
0
1
0
1
0
3
0
3
1
1
3
3
1
0
3
2
0
3
0
1
3
0
0
0
0
0
1
2
2
1
3
0
3
1
3
1
1
3
3
1
3
0
3
1
2
2
3
3
3
0
1
0
0
0
2
2
2
1
1
0
1
0
1
3
0
2
3
0
3
3
1
2
3
1
1
3
2
2
0
2
0
2
1
0
0
0
0
0
3
1
2
1
2
1
3
0
2
0
1
0
0
2
2
3
3
0
0
0
3
0
0
1
1
1
2
0
0
1
2
1
3
3
2
2
2
3
3
1
1
0
0
2
3
0
1
1
3
3
1
0
2
2
2
2
0
0
3
0
0
1
2
0
2
0
3
0
0
0
0
0
2
3
0
3
2
2
3
3
1
0
2
0
3
1
1
1
1
2
0
1
0
0
2
0
1
1
0
0
3
2
1
0
1
2
3
2
0
2
1
0
0
3
1
1
2
3
2
3
2
3
1
2
3
0
3
3
2
2
0
0
3
2
2
3
2
0
0
1
0
0
1
0
1
1
2
0
0
2
2
1
3
1
0
0
1
3
3
1
2
1
2
3
3
3
3
3
2
0
2
2
1
1
2
1
3
0
0
3
3
1
3
2
2
1
1
3
1
3
3
2
1
1
2
2
2
1
1
3
1
3
1
1
3
0
1
3
2
0
2
2
0
1
1
1
1
3
3
1
2
0
2
3
3
2
0
0
1
3
0
1
3
3
3
3
0
2
1
1
2
2
2
2
0
3
3
1
0
1
2
1
0
0
3
0
2
1
1
2
1
3
2
3
1
1
0
0
0
2
2
2
2
3
0
3
0
1
0
0
3
0
1
2
1
0
3
2
2
3
1
1
2
3
3
3
3
0
0
0
3
0
2
1
0
1
2
3
1
3
0
2
2
2
2
3
1
1
3
0
0
3
3
2
0
3
3
3
2
3
2
0
0
3
1
0
1
0
0
1
3
0
0
2
1
3
3
1
0
2
2
3
2
1
2
3
0
0
3
3
2
3
3
3
0
0
2
3
0
1
2
3
1
2
3
0
2
0
3
1
2
2
2
0
2
1
2
0
2
0
1
1
1
1
0
3
2
2
3
1
2
0
0
2
2
3
2
1
0
0
3
3
1
3
2
3
3
0
1
3
2
3
3
0
0
0
0
1
2
0
3
2
2
2
3
0
0
1
0
1
0
0
2
0
3
1
0
1
2
2
1
3
0
1
1
3
3
2
3
3
3
0
1
1
0
1
1
1
0
0
2
1
2
0
1
0
3
0
0
0
0
2
2
1
3
2
3
2
3
0
3
0
0
0
1
1
1
3
0
2
1
1
1
0
0
3
0
1
1
2
2
0
3
0
3
1
1
1
0
2
3
0
0
3
3
0
0
2
2
3
3
2
2
3
0
2
0
3
2
1
3
0
0
0
3
2
0
2
0
1
0
3
2
1
2
0
3
2
0
3
3
2
2
0
0
3
0
0
0
1
2
0
1
0
2
1
3
3
0
3
1
3
1
3
0
0
2
1
2
3
1
3
0
3
3
3
3
3
3
0
3
0
2
1
0
0
3
1
0
3
3
2
0
0
2
3
3
2
2
3
3
1
2
0
1
2
3
2
3
3
1
0
2
3
3
3
1
3
2
3
3
0
2
1
2
1
2
1
2
3
1
3
3
0
3
1
0
3
1
0
1
3
0
1
2
0
0
0
3
2
2
1
1
2
2
0
1
3
3
0
0
1
3
3
0
0
3
3
2
1
2
3
1
0
2
3
3
1
2
1
0
0
3
1
3
1
0
0
3
0
2
2
2
1
0
0
3
1
0
1
2
3
1
1
1
3
3
0
0
3
1
1
0
1
1
1
3
2
2
3
1
0
2
3
3
2
0
0
3
2
0
3
2
0
3
0
3
3
2
2
1
3
0
1
2
2
0
1
3
3
2
1
0
0
3
1
0
3
0
3
3
0
2
1
0
2
0
3
1
2
2
2
0
3
0
2
0
0
2
1
0
3
0
2
3
3
0
2
3
3
2
0
3
1
1
1
0
1
0
0
3
2
2
3
1
0
3
3
0
3
3
3
0
3
1
2
1
1
2
3
1
3
0
3
3
2
3
3
0
1
1
3
2
3
2
1
0
2
0
3
2
1
3
2
1
3
1
0
1
2
2
3
1
1
1
1
3
1
3
0
2
0
3
2
1
3
1
1
1
2
0
3
2
2
1
2
0
0
3
3
0
3
0
1
1
3
3
2
3
3
0
0
1
1
3
0
0
1
1
3
3
1
1
1
0
2
2
3
3
2
3
0
0
3
0
3
0
3
3
0
2
3
0
0
3
3
0
1
2
3
2
2
3
1
2
2
2
1
2
1
2
0
3
2
1
3
3
3
3
1
0
0
0
2
2
0
2
3
3
2
2
0
0
1
1
3
3
1
1
3
0
3
1
1
2
0
3
3
3
2
1
1
1
3
3
2
0
2
2
0
1
1
1
1
0
2
1
0
0
1
0
2
0
0
0
0
3
0
3
3
3
2
2
0
3
2
0
1
1
1
2
0
2
3
0
0
0
2
3
1
1
3
2
2
3
0
2
0
3
2
2
1
0
2
1
1
0
2
2
3
1
3
3
0
1
3
0
0
2
1
3
3
1
2
2
2
0
3
0
0
2
2
1
2
0
0
2
2
1
1
1
2
2
1
2
0
3
0
0
2
3
3
1
3
1
2
0
0
0
3
0
2
2
0
1
3
3
3
3
3
2
0
1
0
3
3
3
2
2
2
1
2
2
0
1
3
3
3
3
3
2
2
1
1
2
2
0
3
1
0
1
3
1
0
3
3
3
3
3
3
3
0
3
3
1
2
0
1
1
3
1
2
2
0
1
2
0
1
2
3
3
3
2
1
1
2
2
0
3
1
1
0
3
0
0
1
1
1
3
3
1
2
2
2
0
3
0
1
0
0
2
1
0
0
2
0
0
0
0
0
2
2
3
3
3
0
3
3
0
0
3
3
3
0
3
1
1
2
2
0
3
0
1
3
1
1
3
3
3
1
1
1
1
2
0
2
2
3
3
3
0
0
2
2
0
0
0
3
0
3
0
0
0
3
3
0
0
3
3
2
3
1
3
1
1
1
0
1
3
1
3
0
2
1
3
3
0
0
1
3
1
2
0
2
1
0
3
1
3
3
3
1
1
0
0
0
3
2
2
0
1
1
1
0
2
0
0
3
3
3
2
2
2
2
1
2
1
1
1
1
2
0
0
0
0
2
2
1
0
0
0
0
3
3
3
3
0
3
2
3
0
2
0
1
3
1
1
0
3
1
3
0
2
3
3
0
2
0
2
0
3
0
1
3
1
3
2
2
1
0
1
3
0
3
3
2
0
3
3
0
2
2
3
2
2
1
1
1
2
1
3
2
2
3
1
3
0
1
0
1
2
3
0
3
3
0
0
0
0
3
1
3
2
2
3
3
0
1
0
1
0
0
3
0
3
2
2
1
1
1
0
0
2
0
2
0
0
0
3
3
2
1
2
0
0
0
0
0
0
2
3
2
2
3
1
1
0
0
0
0
2
2
0
2
2
3
0
1
1
2
0
2
2
0
1
0
0
1
2
1
0
2
0
1
0
3
0
0
1
0
3
1
0
2
3
3
3
3
3
0
2
3
0
2
2
3
0
3
2
2
3
0
3
3
1
0
0
2
3
2
1
2
2
2
3
0
1
3
3
3
1
2
0
2
0
3
1
0
2
2
1
0
3
1
1
3
3
3
3
0
0
0
3
0
0
1
1
0
1
3
1
2
3
0
3
0
0
1
1
0
1
0
3
2
3
2
3
2
0
1
1
2
1
0
0
3
0
3
1
1
3
3
0
2
0
1
2
1
3
0
0
0
0
0
0
3
0
3
0
1
1
2
1
2
3
2
3
0
0
2
0
0
0
0
0
3
0
0
2
1
2
0
1
2
0
2
0
1
0
3
1
3
3
1
0
0
1
2
1
2
0
3
1
1
3
0
1
0
3
3
0
0
1
3
2
2
3
1
1
1
0
2
3
2
1
0
1
0
3
0
0
2
0
0
3
1
3
1
2
1
2
3
2
0
0
0
3
2
1
0
3
3
3
2
0
3
2
0
0
3
2
3
1
1
0
1
3
3
0
2
0
3
0
3
0
3
3
3
3
3
3
2
1
1
3
0
0
2
1
0
1
0
2
2
1
0
0
3
2
3
2
0
3
0
3
3
2
0
3
2
1
3
0
1
2
0
0
1
1
3
3
1
1
1
0
1
3
2
2
0
1
2
2
3
1
2
1
3
0
1
1
1
2
0
2
2
1
2
1
1
0
0
2
2
3
3
3
2
2
0
0
0
3
3
3
2
1
1
0
0
2
2
3
2
0
2
2
2
1
2
0
3
3
3
1
2
0
0
2
3
2
1
0
1
1
1
1
1
0
0
2
0
3
1
0
3
1
1
3
0
0
1
0
1
3
1
1
2
1
1
0
0
3
2
2
1
0
1
0
1
3
3
3
0
3
1
1
1
2
3
2
1
1
0
3
1
2
3
3
0
3
2
2
2
3
3
1
2
2
1
0
0
2
1
3
3
3
3
0
2
2
0
3
0
3
3
3
2
2
2
0
3
3
3
1
2
0
3
3
3
3
2
0
3
2
2
3
3
3
3
3
1
3
1
1
1
2
0
1
2
3
3
3
3
0
0
3
2
2
3
0
1
3
3
2
3
3
0
0
1
2
2
1
1
2
0
3
1
1
0
2
1
0
1
3
3
3
3
3
3
3
1
3
1
1
3
1
1
0
3
1
1
1
3
3
2
1
0
2
2
2
0
0
0
2
2
1
3
3
2
2
3
2
3
3
1
1
3
3
3
3
1
2
3
1
1
0
2
0
3
0
0
0
0
1
0
3
2
1
2
2
3
1
2
0
0
2
3
3
0
0
0
0
1
1
3
0
0
2
0
3
0
1
0
0
3
3
2
2
2
1
1
2
0
2
3
2
0
1
3
3
0
3
3
2
1
1
2
1
3
2
2
3
2
1
3
3
0
0
0
0
1
2
0
0
0
2
1
0
3
3
2
1
3
3
2
2
2
1
1
1
1
2
2
1
0
3
2
2
1
1
3
1
1
3
0
0
2
2
0
2
0
0
3
1
0
1
0
1
1
3
2
1
1
1
1
0
3
2
0
2
0
3
1
1
1
1
2
0
3
1
1
1
3
1
2
0
2
1
0
0
3
3
3
0
0
0
2
2
1
3
0
0
3
0
0
1
1
1
2
2
3
1
3
0
3
2
3
3
1
1
0
1
0
3
2
0
1
2
1
0
3
2
3
1
0
0
2
1
2
2
2
1
1
3
2
0
0
1
1
0
0
0
1
0
0
0
3
2
3
2
3
3
0
0
1
2
3
0
2
0
1
1
1
3
0
0
3
2
1
3
2
2
2
1
1
1
1
3
2
2
1
0
2
2
2
0
3
1
2
2
3
3
3
0
2
3
1
1
0
0
3
3
1
3
2
2
0
1
0
0
0
0
3
3
3
1
2
2
1
2
1
0
0
1
1
0
2
3
2
3
1
0
2
3
1
1
2
0
3
3
1
0
3
3
3
1
3
3
1
1
1
0
0
0
2
1
1
3
3
0
0
1
3
3
3
0
3
0
0
0
0
0
0
2
2
2
3
1
2
2
3
3
3
1
1
1
1
1
2
0
0
0
1
3
0
0
0
3
0
0
0
1
2
0
1
2
2
3
2
1
1
3
2
1
2
1
1
3
1
1
3
3
1
2
3
1
3
1
3
3
3
1
1
0
1
2
3
3
1
2
2
3
1
3
1
0
3
2
3
0
0
0
0
3
3
3
1
0
2
2
0
2
2
2
1
1
1
3
0
3
1
0
1
0
3
3
0
0
3
2
3
3
2
1
3
1
0
0
0
1
2
3
2
2
3
1
1
0
0
2
2
3
2
1
3
3
1
3
2
2
0
2
1
1
2
2
3
1
2
2
0
3
3
1
3
0
3
1
1
3
3
3
1
2
0
1
0
0
0
2
0
1
0
1
0
3
3
0
1
2
1
1
3
0
1
0
2
3
3
1
1
0
3
3
2
1
1
2
1
0
3
3
1
3
0
2
1
0
3
2
3
0
3
2
1
0
2
1
1
1
0
3
2
2
2
3
0
1
3
3
0
1
2
2
2
2
2
0
1
1
1
3
0
1
0
0
2
1
2
1
3
0
0
2
3
0
3
3
2
1
0
2
0
2
3
1
3
0
0
2
0
1
3
0
1
1
2
0
2
1
3
3
1
3
1
3
3
2
3
3
0
3
3
0
2
2
1
3
2
3
0
2
2
0
3
1
1
2
3
3
3
2
2
0
0
0
3
3
1
2
2
2
0
1
3
0
2
3
2
3
2
1
0
1
1
3
1
1
3
3
0
0
0
3
3
2
3
2
1
1
1
1
2
0
3
1
1
1
1
3
0
3
3
1
2
1
1
1
1
1
2
1
2
3
3
3
3
2
0
3
1
1
0
2
2
2
2
1
3
3
0
3
2
2
0
0
3
1
2
1
1
1
3
1
0
3
1
1
3
3
2
1
0
0
0
2
2
1
1
1
3
3
3
1
0
2
3
1
1
3
2
1
3
1
2
2
1
2
3
0
0
0
3
3
3
2
1
1
1
0
3
0
3
2
0
1
3
3
2
2
2
2
3
0
0
0
3
1
1
3
0
3
0
3
3
1
3
3
2
3
3
2
3
0
3
1
1
3
1
1
0
3
2
0
2
2
2
3
1
3
3
2
1
1
2
1
1
0
0
3
1
2
1
0
0
1
0
2
2
0
0
1
2
3
1
1
1
1
1
2
2
1
3
0
1
0
0
0
0
3
1
3
1
1
3
2
3
0
0
1
0
2
3
3
1
0
0
1
2
2
2
0
1
3
0
2
1
1
3
2
0
3
0
0
0
1
1
0
0
2
1
0
2
0
0
1
1
3
3
1
3
2
0
0
3
0
2
3
1
0
0
3
1
2
2
2
2
3
3
0
3
3
3
2
2
0
3
0
1
0
1
1
2
2
3
0
3
3
2
1
1
0
3
0
1
2
3
2
2
2
3
0
1
2
1
3
2
1
3
0
0
0
2
1
3
0
0
0
2
0
1
3
2
2
3
0
2
2
2
1
0
1
2
1
2
0
3
0
1
0
1
0
3
2
1
0
2
3
0
2
0
3
1
0
0
0
3
0
3
3
3
3
3
1
3
0
3
2
2
0
1
1
3
3
1
0
0
0
1
0
0
3
0
1
0
3
2
1
2
3
3
3
1
0
3
0
1
0
3
0
0
3
0
3
2
2
1
3
3
2
2
0
1
1
2
2
1
0
2
3
3
2
3
3
3
0
0
3
3
3
1
1
1
2
0
2
3
0
3
0
0
0
1
0
3
3
3
3
0
2
2
0
2
3
3
0
2
2
0
2
0
3
0
0
0
1
3
1
3
2
0
1
0
2
0
0
0
0
0
2
3
0
1
1
1
0
3
1
2
2
3
0
2
3
3
1
0
1
0
0
1
1
3
2
3
2
3
3
3
3
3
3
2
0
0
2
0
3
2
2
2
2
0
2
0
1
1
0
0
0
1
3
3
1
1
3
1
2
0
0
1
2
3
1
2
0
0
1
0
1
1
1
2
2
2
2
0
2
3
1
2
1
0
0
1
3
1
2
0
1
0
1
1
2
1
3
1
3
0
0
3
1
1
0
3
1
3
2
1
3
0
3
1
1
2
1
0
0
3
0
1
3
2
2
3
3
3
0
1
2
0
1
1
0
3
2
0
0
3
0
3
3
2
1
3
0
0
1
1
0
3
2
0
3
3
1
0
0
1
0
3
2
2
1
3
0
2
0
0
0
0
3
0
0
0
2
3
3
0
0
2
2
0
1
0
0
0
0
2
1
3
0
1
3
3
2
0
2
3
1
2
3
0
0
3
3
1
3
0
1
0
2
2
1
3
0
1
0
3
0
0
1
3
0
1
1
0
3
3
1
2
2
1
1
0
0
1
0
0
1
1
1
3
3
3
2
3
3
3
2
1
2
2
3
0
1
1
3
3
3
2
2
1
3
0
2
2
3
0
3
1
1
0
1
1
3
0
1
3
0
2
2
3
2
3
2
0
3
1
2
3
3
3
1
0
1
1
3
1
1
1
1
0
1
1
2
2
0
3
1
1
1
1
2
3
1
0
0
2
3
1
3
2
0
3
0
0
2
2
1
2
2
3
3
2
2
0
3
2
2
3
0
0
3
1
1
0
3
2
0
3
0
1
1
0
3
2
0
2
2
3
0
1
0
2
0
1
0
0
0
2
0
3
2
2
0
0
0
1
1
2
3
0
0
3
0
3
3
3
3
3
1
0
1
0
3
0
3
0
2
3
3
2
0
0
3
3
2
1
1
1
0
2
2
3
3
1
2
2
3
2
0
1
1
1
0
2
1
3
2
1
0
1
3
3
2
3
0
3
1
0
3
0
0
0
0
0
3
3
2
0
3
2
3
3
0
2
0
1
0
0
3
0
2
3
0
2
3
0
0
3
0
0
1
0
0
3
2
2
1
1
2
2
3
2
0
1
2
2
1
0
2
3
0
1
2
3
3
3
2
2
2
1
0
0
3
0
3
2
1
1
1
3
2
2
3
1
3
3
0
0
1
0
0
3
0
1
0
3
0
1
1
2
3
0
1
1
3
1
0
0
2
1
2
2
2
2
3
3
2
0
2
3
2
0
0
0
2
2
3
1
0
3
3
1
3
0
3
3
1
0
1
2
3
3
3
0
3
3
0
3
3
3
3
0
0
2
3
2
2
0
2
1
3
0
0
2
2
2
2
2
0
1
0
0
2
3
2
1
2
3
0
2
0
3
2
3
3
3
3
3
2
1
0
1
1
0
3
0
3
0
0
3
2
1
1
3
3
0
1
0
2
1
3
1
1
1
1
1
3
3
1
0
0
3
0
3
2
2
3
1
2
0
1
0
0
0
0
2
2
0
0
2
0
2
3
2
2
0
1
2
0
3
1
2
3
2
1
0
1
3
0
0
0
3
1
3
2
1
3
2
3
1
0
3
3
0
2
0
2
0
0
1
0
2
0
1
2
1
3
2
2
2
1
1
2
1
1
3
2
1
2
1
1
3
3
1
2
0
0
0
3
3
1
3
3
2
3
1
0
1
2
0
2
2
3
3
2
1
0
2
0
2
1
2
3
3
3
3
3
3
3
3
3
3
0
3
3
3
2
2
1
1
1
2
2
2
0
1
3
2
1
3
2
3
1
3
1
3
3
3
1
0
0
3
2
0
1
3
3
0
2
2
3
3
1
3
1
2
1
3
2
3
2
3
1
0
3
3
0
0
2
2
0
1
2
3
2
1
1
2
2
2
0
3
0
1
3
2
2
2
2
1
0
0
0
3
1
0
2
0
1
2
0
1
2
3
2
1
2
3
0
1
0
0
3
3
0
1
2
1
0
1
1
3
3
1
3
2
3
0
2
3
0
0
1
1
1
1
2
2
2
1
1
1
3
2
1
3
2
0
0
3
2
3
2
0
0
1
2
2
1
1
3
2
2
1
0
3
1
2
3
1
2
1
0
2
0
0
2
2
2
2
2
3
3
3
2
0
0
2
0
0
0
0
1
3
1
2
0
0
2
3
3
0
0
2
0
2
2
2
3
3
3
2
0
1
1
3
0
2
0
0
3
2
1
3
1
2
2
1
3
2
2
0
3
1
2
0
0
3
0
1
1
1
3
3
0
0
0
0
0
0
0
0
0
3
1
1
3
3
0
3
2
1
1
1
3
3
2
1
3
3
0
2
2
0
0
0
0
0
2
3
3
0
0
2
1
2
2
2
0
3
0
3
2
2
2
2
2
1
1
2
0
1
2
2
3
3
3
1
3
3
1
3
3
1
0
1
0
3
3
1
2
0
0
3
0
1
3
2
1
1
1
0
0
0
1
2
0
2
0
3
1
1
2
1
1
0
3
1
0
1
0
0
3
1
1
3
2
3
0
1
0
3
3
0
0
3
3
1
2
3
3
3
2
1
2
2
0
2
2
1
1
3
3
0
0
1
3
1
0
1
3
0
0
3
1
1
2
3
1
1
1
2
3
1
1
3
0
0
0
0
3
1
3
3
3
3
0
1
2
1
3
3
1
0
3
3
3
2
2
3
3
3
3
1
1
0
3
0
0
1
1
3
1
3
3
0
3
3
0
0
0
2
2
0
2
1
2
3
2
0
0
1
1
2
3
0
0
3
0
1
3
1
2
0
2
1
2
1
2
0
3
3
0
3
0
3
3
0
3
3
0
2
2
2
0
0
0
1
0
0
2
3
3
3
0
1
3
3
1
3
3
3
1
1
1
1
1
1
0
1
0
2
2
3
0
2
3
3
0
0
1
2
0
0
0
0
1
0
0
2
2
1
0
2
3
3
3
2
3
2
2
2
3
1
1
3
0
2
3
1
0
3
2
2
2
1
3
3
3
3
3
2
1
3
1
2
3
1
1
1
3
1
3
1
1
1
3
3
0
0
2
0
2
3
1
3
2
1
1
1
2
3
3
3
0
1
1
1
1
2
1
3
2
3
3
0
2
3
3
3
3
0
3
0
1
1
1
1
2
3
2
2
2
2
1
0
3
2
0
3
3
3
3
3
3
1
1
0
1
2
3
1
3
3
2
1
3
0
2
3
0
1
0
1
1
3
0
3
0
2
0
1
2
1
2
3
3
1
2
3
2
0
3
3
0
1
0
2
0
1
2
3
0
0
3
1
1
0
3
2
3
3
1
3
1
1
3
1
3
0
1
0
0
2
3
3
0
2
3
2
3
1
1
3
0
3
3
0
0
1
1
1
0
2
0
1
0
3
0
2
2
2
1
0
2
3
1
1
1
2
1
1
3
3
1
3
2
0
3
1
3
0
3
1
0
2
3
3
0
3
2
1
3
1
3
0
3
2
2
2
2
3
3
3
3
3
3
3
3
0
0
2
0
3
2
3
2
3
1
3
1
0
3
3
0
1
0
1
2
1
3
0
2
2
0
0
2
1
2
0
2
1
1
1
2
2
2
2
2
0
1
2
3
3
1
1
0
1
2
0
3
0
1
0
3
0
3
0
2
2
2
2
2
1
3
1
2
3
3
3
0
1
3
3
0
1
1
0
1
2
2
3
3
1
2
3
0
1
1
0
2
2
0
0
0
1
0
0
2
2
1
3
2
3
1
0
2
3
1
1
1
1
2
3
1
0
3
2
0
3
2
3
1
2
0
0
3
0
1
2
2
0
0
3
1
3
2
0
3
1
1
0
3
3
1
2
2
3
3
3
0
1
1
0
0
0
2
0
3
1
3
2
2
0
2
3
3
3
1
0
1
0
0
2
0
0
1
3
0
3
2
2
3
0
2
0
0
3
2
3
3
3
1
0
0
1
3
2
3
1
1
1
3
1
0
0
3
1
3
0
1
2
1
3
1
0
2
0
3
3
1
0
1
0
2
1
3
3
3
0
0
1
3
2
0
3
2
2
2
2
0
0
1
0
3
0
1
0
1
3
2
3
0
1
1
3
1
0
3
1
1
0
2
0
1
1
1
0
2
0
3
3
0
3
2
0
1
3
0
0
0
0
3
1
1
1
1
3
3
3
3
3
3
3
0
0
1
0
0
0
0
0
0
1
0
0
2
2
0
1
1
3
2
2
3
3
0
3
1
0
2
2
2
3
0
3
3
2
3
1
3
3
0
3
1
2
1
0
0
0
1
0
1
1
0
3
3
3
2
3
0
3
3
3
3
3
3
0
3
0
0
1
3
0
0
3
2
1
2
0
2
0
3
0
2
2
0
1
1
1
1
1
0
3
3
0
2
1
1
2
2
1
3
0
3
2
2
2
2
3
2
0
1
1
1
2
0
2
0
1
0
0
1
3
0
3
3
1
0
0
0
1
1
1
1
2
0
1
0
3
2
0
1
2
1
2
3
1
1
2
1
1
1
1
1
2
3
1
3
3
1
3
2
2
0
3
3
1
1
2
2
3
1
2
2
2
0
1
1
2
1
2
1
0
0
0
0
3
3
0
2
1
3
3
0
0
3
3
1
3
0
0
0
1
1
1
1
0
0
0
3
2
3
2
2
3
3
2
3
2
3
3
1
1
2
2
0
0
1
2
2
3
0
2
2
2
2
2
2
3
3
2
1
1
3
3
3
3
2
0
0
0
1
0
0
3
1
1
3
2
1
2
2
3
1
0
3
2
1
3
0
1
0
2
0
1
2
2
2
3
1
3
1
3
3
0
3
3
3
3
1
0
0
2
1
3
1
0
3
3
1
2
1
1
2
0
1
1
2
0
0
0
2
2
0
2
3
3
0
1
1
0
0
0
0
0
1
0
1
2
0
3
1
3
1
0
0
0
0
1
2
0
1
1
3
3
3
3
0
2
3
2
1
3
1
2
2
2
1
1
3
3
3
0
3
2
0
0
0
1
2
2
0
0
3
2
0
0
3
0
2
2
3
0
2
3
3
1
0
1
3
3
3
3
0
1
3
3
2
0
0
3
1
0
2
3
2
1
0
2
0
0
3
0
1
0
0
0
0
0
0
1
0
1
1
1
3
0
3
0
3
1
3
0
1
1
2
0
1
0
2
3
3
0
1
1
1
3
3
3
0
3
1
0
3
0
1
3
2
1
1
1
3
2
2
1
1
0
0
3
3
1
1
1
3
1
0
0
2
3
0
3
3
3
2
2
0
1
1
1
3
2
0
0
3
3
2
3
3
1
3
3
0
3
1
3
0
0
0
3
0
3
2
1
3
1
0
3
3
3
3
2
0
1
0
2
3
3
0
0
2
0
0
3
2
2
0
0
1
3
1
3
3
3
1
0
3
0
0
0
2
2
0
2
0
0
2
3
3
2
3
3
0
1
1
0
1
3
3
1
3
1
3
3
0
3
2
0
1
0
1
2
0
0
1
0
3
0
0
3
2
3
2
1
1
0
0
0
2
3
2
3
1
2
0
2
1
3
0
1
2
2
0
2
2
1
1
1
2
0
0
0
0
3
3
0
3
3
2
0
3
1
2
0
2
3
2
0
3
3
3
1
3
2
1
3
0
2
0
1
1
0
1
3
3
3
2
3
1
1
2
0
3
0
3
1
3
3
3
0
3
1
1
3
3
3
2
0
0
3
0
3
0
1
1
2
3
3
3
3
3
0
0
2
0
3
3
3
3
1
3
0
0
1
1
3
1
1
1
1
2
3
3
1
2
1
0
2
2
1
0
0
2
1
1
2
2
0
1
1
2
0
3
0
0
1
1
0
2
2
1
3
1
3
1
0
3
3
0
1
0
1
2
1
1
1
2
0
0
0
0
0
3
2
0
1
1
3
1
2
2
2
1
0
2
2
3
0
1
0
3
0
2
0
1
1
0
2
2
3
0
3
1
2
3
0
0
0
1
2
3
3
2
1
3
1
3
3
3
0
1
0
1
0
0
1
3
1
0
1
0
2
0
1
1
1
1
1
1
1
1
3
1
1
1
1
0
3
2
3
0
0
0
3
0
1
0
1
3
2
3
3
3
3
3
1
1
2
3
3
3
0
1
2
3
3
0
3
3
3
2
3
2
0
1
0
3
0
0
0
0
3
0
3
2
2
1
3
2
2
0
3
3
3
3
3
3
3
3
0
1
1
1
2
2
1
1
3
0
0
0
3
0
3
0
0
0
1
3
1
3
0
2
2
3
3
2
2
2
2
2
1
0
0
3
3
2
3
0
3
2
0
1
3
3
1
2
0
0
0
0
3
2
2
1
3
1
3
1
3
1
3
3
3
3
2
2
1
2
0
1
2
3
1
3
2
0
2
1
3
1
0
3
1
3
3
3
3
1
1
1
0
3
2
2
1
2
1
2
3
2
0
3
1
0
3
3
0
0
0
3
0
1
2
2
2
2
2
2
3
0
1
0
0
2
1
3
2
1
1
1
2
1
1
0
2
3
0
3
0
0
0
0
2
0
0
2
3
3
0
3
2
3
3
2
1
0
3
3
1
3
2
3
3
3
3
1
2
1
3
3
3
0
1
2
3
1
3
2
3
1
1
3
1
3
1
0
2
3
3
0
2
2
2
3
2
1
2
3
2
2
1
3
3
0
2
0
1
3
0
1
3
3
1
3
3
3
3
1
3
3
3
2
0
0
3
2
1
3
3
1
0
1
3
2
3
3
0
3
3
3
3
0
3
3
2
2
3
2
1
0
3
2
2
3
3
3
0
1
0
1
1
2
2
0
2
1
3
1
1
1
1
3
0
1
0
3
1
1
0
0
2
1
0
1
2
3
0
1
0
2
2
3
1
2
0
1
1
3
1
0
0
0
2
3
3
1
2
3
3
3
1
3
0
1
2
0
0
2
2
1
3
1
0
1
1
1
0
1
3
1
2
2
1
0
2
0
3
3
2
2
2
3
3
1
1
1
2
2
2
3
0
2
2
3
2
2
0
1
2
2
2
0
3
3
0
3
3
2
1
3
2
2
2
1
2
3
0
2
0
0
0
3
3
0
3
2
0
0
2
1
1
2
2
3
2
3
3
3
0
0
0
2
2
3
2
0
2
0
3
3
2
0
2
3
3
2
3
3
1
0
1
1
1
1
3
3
0
2
3
1
3
2
3
2
3
1
3
3
0
0
0
3
0
3
1
2
2
2
3
3
0
3
2
2
3
2
3
2
1
0
3
0
0
1
1
1
1
3
1
0
1
3
1
2
3
3
0
1
0
0
0
0
1
2
3
3
2
1
1
0
0
1
1
1
3
2
3
0
0
2
3
2
2
2
3
1
3
1
1
1
2
1
2
0
1
3
1
0
3
1
0
0
3
1
1
0
3
1
1
3
0
2
2
3
0
2
2
3
3
1
2
3
0
1
3
1
0
3
1
0
3
2
1
0
2
2
2
0
0
2
3
0
1
2
0
0
0
0
1
0
0
0
3
1
1
3
0
3
3
2
2
2
0
0
2
0
0
3
2
2
2
0
3
0
3
1
3
0
2
2
2
1
1
3
3
1
2
3
1
2
1
3
1
2
2
2
2
3
1
2
1
0
0
0
3
2
2
2
3
0
3
1
3
1
1
3
3
0
3
1
2
2
2
2
1
1
1
2
1
2
1
3
0
2
2
0
3
1
2
0
3
1
2
2
1
2
1
2
0
2
0
0
1
2
1
3
2
1
0
1
1
3
2
2
3
2
3
2
2
3
3
1
0
1
0
2
2
1
2
0
0
0
0
3
1
3
1
2
2
1
0
3
0
0
1
0
0
3
1
0
1
0
2
1
2
2
3
3
2
2
0
0
2
0
1
2
2
1
2
3
0
0
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
3
3
3
0
3
1
0
2
1
2
1
3
0
1
2
3
1
0
3
1
1
2
3
1
1
0
3
2
2
3
2
2
2
2
2
3
1
1
3
3
2
0
3
2
0
3
0
0
0
0
2
0
1
2
0
0
0
2
1
3
0
1
0
2
2
3
3
1
0
0
0
0
2
3
2
0
0
3
1
0
0
1
0
3
1
0
1
2
3
0
2
0
3
1
3
1
1
0
2
1
1
1
1
0
1
3
1
2
0
0
3
0
2
1
1
1
3
2
1
3
2
0
1
2
3
3
2
0
1
2
2
3
1
3
3
1
2
2
2
2
3
0
1
2
3
0
3
1
3
0
2
1
1
1
3
1
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
0
2
0
1
0
1
1
3
1
2
2
3
3
2
0
0
0
0
3
2
1
0
0
2
3
1
0
1
3
1
2
3
2
0
0
2
1
1
0
0
0
0
3
1
1
2
0
0
3
3
0
0
2
0
0
0
3
0
3
2
0
3
1
3
2
1
0
1
2
2
3
3
1
3
2
0
2
2
2
0
1
3
2
2
0
3
1
1
2
2
3
0
2
0
0
0
0
3
1
3
3
1
2
3
1
0
1
3
0
3
2
3
0
1
1
2
3
2
2
0
3
1
1
1
1
1
2
0
0
0
1
2
1
3
3
2
3
2
1
3
0
3
1
1
3
0
0
0
2
2
3
0
0
2
2
0
1
3
2
2
2
0
3
3
2
1
2
1
2
2
0
3
3
1
3
1
1
1
3
2
0
3
0
1
0
0
2
2
0
0
3
1
3
3
1
0
0
1
3
3
2
3
2
0
1
1
2
3
3
3
3
0
3
2
0
3
2
0
2
1
1
3
3
1
2
2
2
2
3
3
3
3
3
3
0
3
0
1
2
2
2
1
3
2
3
3
1
1
1
3
3
0
0
0
0
3
3
0
1
0
3
2
2
0
0
2
1
3
0
0
1
1
0
2
0
2
2
0
0
0
2
1
1
1
2
0
2
2
0
3
2
3
0
0
1
1
0
1
1
2
1
0
3
2
2
0
3
2
2
0
0
0
0
1
0
3
3
2
1
2
0
0
1
2
1
2
1
1
3
3
0
1
1
1
1
1
3
0
2
2
2
3
1
1
1
1
0
3
1
2
3
1
1
0
1
2
2
3
0
0
1
0
1
2
3
1
3
3
3
1
0
1
0
2
0
3
1
0
3
0
2
1
1
1
0
2
2
2
2
3
3
0
1
0
0
1
2
0
0
0
0
3
0
1
0
0
2
0
0
2
3
1
1
0
3
3
0
0
3
1
1
1
1
1
2
1
3
1
1
3
0
0
3
3
0
0
1
3
2
3
2
2
2
2
2
2
1
2
2
3
1
3
0
2
2
3
3
2
2
3
0
0
0
0
3
3
0
2
0
0
1
3
2
3
3
3
3
3
2
2
3
1
2
0
1
2
1
1
3
3
0
1
0
0
1
3
2
1
0
0
2
0
3
0
3
2
2
0
3
3
2
3
3
1
3
0
3
3
1
0
3
3
2
2
1
3
0
3
1
0
2
3
1
3
3
1
1
1
2
1
2
2
1
0
1
1
1
1
1
2
0
2
2
2
1
0
3
1
1
2
0
3
1
1
2
1
3
1
1
2
1
0
3
3
1
2
1
0
3
2
2
3
1
1
1
1
3
2
1
1
1
2
2
2
0
1
3
3
1
2
1
1
1
3
2
0
3
3
3
3
3
3
3
1
1
2
1
1
3
3
2
3
0
1
3
0
0
0
3
3
0
0
0
2
1
0
0
0
1
0
3
0
3
2
2
1
3
3
3
1
1
1
0
1
2
0
0
0
1
2
2
0
2
0
0
3
3
2
0
0
0
3
1
0
1
3
0
3
0
1
1
2
0
0
1
1
3
0
1
1
0
3
3
1
1
1
0
1
3
0
3
0
2
2
2
0
1
1
1
3
2
0
3
1
2
2
3
0
1
2
1
1
1
3
3
1
3
0
1
0
1
3
3
2
2
0
3
1
2
1
3
3
2
0
2
0
1
1
0
2
2
3
2
3
3
0
1
0
3
1
1
3
2
3
0
0
0
3
2
0
2
3
0
2
0
2
0
3
0
2
2
3
0
1
1
0
0
3
3
3
1
3
3
3
0
3
3
3
3
2
0
2
0
1
3
1
2
3
2
3
2
0
3
3
3
2
0
3
0
2
0
0
0
0
3
0
3
2
2
1
1
0
1
0
0
0
0
2
1
3
0
1
3
3
2
1
0
1
1
2
0
0
1
2
0
0
1
2
1
3
3
3
3
0
2
1
2
3
0
0
3
0
1
1
0
2
2
2
2
1
1
3
1
1
1
3
3
3
1
2
1
0
0
2
1
2
2
2
0
0
1
3
3
3
0
1
0
2
1
1
0
0
3
1
3
3
2
2
1
0
2
3
0
1
2
1
1
3
0
0
3
0
1
0
0
1
2
3
2
0
2
0
3
1
2
0
3
0
1
1
2
1
3
2
2
0
0
1
2
3
0
2
1
3
3
3
2
1
2
3
0
0
3
3
3
1
1
3
3
3
3
3
3
2
2
0
0
1
0
2
1
2
0
2
3
3
0
0
3
3
3
3
3
1
3
0
2
1
0
0
1
1
3
2
0
0
0
3
0
1
1
3
3
2
2
1
2
1
0
0
2
2
0
3
3
3
1
2
1
0
3
2
0
0
2
0
3
1
1
2
2
0
0
1
0
1
3
2
0
0
0
3
1
3
3
3
3
1
3
1
2
1
1
2
0
3
0
1
2
0
0
1
2
0
2
1
0
0
3
3
0
2
2
3
3
1
1
2
2
1
1
2
2
1
1
3
3
3
0
1
3
0
0
2
0
3
1
0
0
1
0
2
0
0
1
0
3
2
2
0
0
3
0
1
3
3
0
2
3
2
3
0
2
2
1
0
3
2
3
0
0
0
0
0
0
3
2
1
1
0
1
1
1
3
0
2
0
1
1
0
3
1
1
3
0
0
2
2
2
3
1
2
1
3
2
0
1
2
2
3
3
1
1
0
3
2
1
1
0
1
1
2
2
2
3
0
2
3
0
2
2
2
1
1
2
3
1
3
3
0
0
1
0
3
3
2
3
0
1
3
1
1
2
2
3
2
0
2
0
2
3
1
0
1
2
1
0
3
2
2
2
2
1
2
2
2
2
0
2
3
1
2
3
1
1
0
3
3
0
3
1
3
3
3
3
3
3
2
2
0
0
0
0
0
1
0
2
0
3
3
3
0
3
2
0
0
1
2
3
1
3
2
0
2
0
2
3
0
3
2
0
0
1
2
2
2
2
0
3
1
0
3
1
2
1
3
3
0
1
3
0
2
1
3
2
3
1
3
2
0
3
0
0
0
2
2
3
0
1
0
3
1
1
2
2
2
2
0
0
2
1
0
3
0
3
2
0
1
0
1
1
3
3
3
3
3
2
0
3
0
1
0
2
3
2
2
3
3
0
0
1
3
1
2
0
1
3
2
2
3
3
2
1
0
3
3
2
0
2
1
3
1
2
3
1
1
3
2
0
0
3
3
3
0
0
2
0
2
0
2
3
3
0
3
1
3
2
0
2
2
1
0
1
0
0
2
0
1
1
2
3
0
3
0
0
1
3
3
3
3
0
3
3
1
2
0
1
3
0
3
0
2
2
2
2
3
0
3
1
1
1
2
0
1
2
3
2
2
3
3
0
3
3
3
2
0
2
2
2
3
3
1
3
1
0
3
2
1
2
3
0
1
3
2
2
1
0
2
2
1
3
1
2
2
1
0
3
2
1
3
3
0
1
3
3
3
0
0
3
1
3
1
1
2
1
1
2
3
3
1
1
0
2
3
2
2
3
2
1
2
3
0
3
2
2
0
0
0
3
0
1
2
0
0
0
0
0
3
0
2
3
3
2
0
0
0
0
3
3
2
3
0
0
3
3
2
0
0
1
1
0
2
1
0
0
3
3
3
0
1
3
2
2
0
3
1
0
1
0
1
2
1
3
0
1
3
3
1
1
3
3
3
3
3
0
3
0
2
2
1
1
0
2
0
2
0
3
0
3
2
3
3
2
0
2
0
3
0
3
3
1
0
3
2
3
3
0
3
3
3
3
1
2
2
3
2
2
0
0
1
3
3
0
0
1
0
1
2
3
2
3
0
0
2
0
0
1
0
0
2
0
0
0
1
0
2
3
2
2
2
2
1
3
1
3
3
3
1
2
0
0
0
3
2
3
0
2
0
3
2
0
0
1
1
1
1
3
2
1
2
1
0
3
2
0
2
1
2
2
0
2
1
2
1
1
3
3
0
2
2
0
0
0
1
1
3
2
1
2
0
2
3
3
2
2
3
1
1
2
2
0
1
1
2
3
3
1
0
3
3
3
0
1
2
0
0
0
0
0
0
2
1
3
2
3
3
0
0
3
3
1
2
0
3
1
2
3
0
2
0
2
0
0
2
3
3
0
3
3
3
3
0
3
2
0
1
1
0
0
3
2
2
3
1
3
1
3
3
2
0
0
0
3
0
1
3
0
0
1
2
2
0
1
1
0
3
3
0
0
1
0
0
2
0
2
1
2
2
2
1
0
0
1
0
3
3
3
0
0
2
2
2
2
1
2
2
1
1
1
2
0
1
1
3
2
2
3
2
1
0
3
3
3
2
2
3
3
3
2
0
1
3
3
0
3
2
3
2
3
1
3
1
3
3
1
2
1
3
2
3
3
1
3
3
2
0
0
3
1
3
0
2
3
2
3
0
0
0
0
2
2
1
2
2
3
1
1
1
1
2
3
2
3
0
2
2
1
1
1
0
0
2
1
0
2
2
0
3
3
1
0
1
1
1
2
0
0
2
0
2
2
3
3
3
3
1
3
1
1
3
1
3
3
3
3
0
3
3
2
3
2
3
0
2
1
1
1
1
3
3
0
3
2
2
1
2
0
0
1
3
2
3
3
0
3
0
0
3
0
1
2
1
3
3
3
3
2
3
2
3
0
3
2
2
2
2
2
1
2
2
2
2
3
2
2
2
1
3
3
3
0
3
0
1
1
2
3
2
3
1
3
1
1
3
1
1
3
3
0
0
1
3
2
3
3
0
1
2
0
3
3
3
1
3
3
3
0
0
0
0
0
2
0
2
1
0
2
1
0
1
2
0
1
2
1
2
3
0
0
2
0
3
1
1
0
0
0
1
1
2
2
3
2
2
1
3
0
0
1
3
3
3
3
3
2
2
2
2
0
0
2
2
0
2
0
3
3
2
3
0
0
0
0
3
3
3
0
0
0
2
2
1
3
2
0
3
0
0
3
3
1
0
2
1
3
3
0
1
1
3
0
0
0
0
3
2
0
1
0
2
2
0
3
3
0
1
2
1
0
0
2
3
3
1
2
2
2
2
2
2
0
0
3
0
0
0
0
0
2
2
1
1
2
3
1
0
0
0
3
3
1
2
3
3
2
0
1
1
2
2
3
2
3
0
2
1
3
3
3
3
0
1
0
2
2
0
0
2
2
0
2
2
0
0
0
3
2
2
1
3
3
1
1
0
0
0
2
0
0
2
0
1
2
3
3
2
2
2
2
1
0
2
2
0
2
0
0
2
2
2
2
0
1
3
3
1
0
1
1
2
2
1
0
3
2
2
2
0
1
0
3
0
0
2
2
3
0
3
2
2
0
2
3
0
2
2
1
3
3
2
0
0
1
3
0
0
0
3
3
1
1
3
0
1
3
3
2
0
3
1
3
1
2
0
0
1
0
1
1
0
1
0
0
0
3
3
1
1
2
2
0
0
3
3
2
1
1
2
1
3
1
1
1
0
2
3
1
2
2
2
0
3
2
0
1
2
3
0
0
1
0
3
2
0
2
3
3
3
0
1
1
2
0
2
2
0
0
3
2
0
1
2
2
0
0
0
0
0
2
3
1
2
1
2
3
3
2
1
1
1
1
0
3
3
2
1
3
3
2
2
0
3
0
0
3
1
3
0
3
3
1
0
3
3
0
1
1
2
0
3
0
3
3
1
2
2
3
2
3
0
1
0
0
0
3
1
1
3
3
2
0
0
1
2
1
3
3
0
0
0
3
3
1
3
0
3
2
2
0
2
3
0
2
1
0
0
0
3
3
3
3
3
1
3
0
0
3
2
0
0
3
3
0
2
2
3
1
1
3
0
3
0
2
0
1
3
0
0
1
3
1
1
1
3
1
1
0
3
0
0
3
1
0
3
3
2
0
3
1
2
2
3
1
1
1
1
1
1
2
1
1
2
3
3
2
1
0
3
1
3
1
0
3
2
3
1
0
1
0
2
0
0
1
1
0
0
1
2
1
1
2
0
3
0
1
3
0
2
0
0
0
2
0
2
0
3
1
1
1
1
2
1
3
1
0
1
2
3
3
3
3
2
2
2
1
0
3
1
2
1
1
1
1
3
3
0
3
2
1
1
3
1
2
2
1
1
1
1
0
3
0
3
1
0
0
0
0
0
1
1
0
3
2
0
2
1
1
1
0
1
3
3
0
0
3
2
2
0
0
0
0
0
2
2
0
0
3
3
3
1
1
2
2
3
2
2
2
1
1
2
2
3
1
3
2
0
2
1
2
0
1
2
3
0
2
3
1
1
1
1
1
1
0
1
0
0
3
2
0
0
3
0
3
1
3
3
2
3
3
0
1
3
3
1
2
2
3
2
0
1
2
0
0
0
3
2
0
2
0
2
2
1
2
0
3
3
1
0
1
2
1
1
1
1
3
0
1
1
1
1
0
1
1
3
0
0
3
0
1
3
2
2
0
3
2
1
1
2
3
3
3
0
2
3
3
1
2
3
3
2
0
0
2
3
3
3
0
1
2
3
0
0
3
0
3
0
3
3
3
1
0
0
2
0
3
2
0
0
2
3
1
2
2
2
2
2
2
2
2
0
2
2
2
3
1
3
0
1
2
3
0
3
2
0
0
0
0
0
0
0
0
0
1
1
1
3
3
1
1
1
0
3
0
3
2
0
2
3
1
1
2
2
2
0
2
2
3
0
1
3
1
3
1
0
0
2
0
3
2
0
0
3
3
2
1
0
0
3
0
3
2
0
1
1
0
0
2
2
2
1
2
0
0
1
3
3
0
3
0
0
3
1
1
0
1
1
1
2
3
0
3
3
2
2
2
0
1
1
0
2
2
2
0
0
3
0
0
0
0
1
1
0
1
2
3
2
2
3
3
3
0
2
2
2
3
3
3
0
1
2
3
2
2
2
0
2
0
3
1
2
2
2
1
3
3
1
3
1
3
2
1
0
3
3
1
1
2
2
2
2
3
3
2
3
0
3
0
2
0
3
0
1
1
0
3
3
0
2
1
1
3
3
1
2
3
1
3
0
0
0
0
3
3
2
3
0
2
0
0
3
1
1
1
2
1
2
3
3
0
3
3
0
0
2
0
0
3
1
1
2
2
0
0
0
0
2
3
3
3
3
1
2
3
3
1
0
2
2
2
1
0
1
2
2
2
1
2
0
2
0
2
2
0
2
3
1
0
1
0
2
3
3
0
1
0
1
0
0
0
0
1
0
0
0
1
3
0
2
0
0
3
2
2
2
2
3
3
2
3
1
1
2
0
0
2
2
0
3
3
3
2
0
0
0
2
1
0
0
3
2
3
1
0
0
3
2
2
1
1
1
2
0
3
1
3
3
2
3
0
1
2
3
2
1
0
2
2
3
2
2
2
2
1
0
0
2
2
2
2
2
2
2
2
0
0
0
2
1
2
3
2
2
0
1
2
2
2
1
0
2
2
2
0
2
2
0
0
0
2
2
0
1
0
3
1
3
2
3
3
3
3
0
3
3
3
3
2
3
1
0
0
0
3
1
0
2
3
0
0
3
1
0
2
0
3
0
1
1
0
0
0
0
2
0
0
2
2
1
3
3
0
3
3
2
1
2
2
3
3
0
2
1
3
3
3
2
1
2
1
1
1
1
1
0
0
0
2
1
3
0
1
2
1
0
1
3
1
0
2
0
0
0
3
2
3
2
2
0
3
2
2
0
0
1
3
0
2
1
3
0
2
1
1
0
0
0
3
3
2
0
2
1
0
0
0
2
3
0
1
1
3
3
0
2
0
2
2
1
0
3
1
1
3
1
0
1
3
3
3
1
1
1
1
1
1
0
0
3
2
2
1
3
3
3
2
2
0
1
1
0
3
0
0
0
1
1
1
2
2
1
3
3
3
1
1
1
1
1
3
3
3
3
0
2
2
1
0
0
0
2
2
3
1
3
3
2
2
1
3
1
2
2
2
0
1
2
2
2
3
3
0
2
3
0
1
1
2
3
1
0
0
0
1
3
0
2
0
0
2
1
3
3
3
1
0
1
2
3
1
1
3
2
2
1
0
2
1
0
0
1
0
1
0
3
0
0
3
0
2
3
1
3
2
2
3
3
0
3
3
1
1
0
0
0
0
3
3
3
0
0
3
0
0
2
2
2
0
1
0
1
1
2
3
3
3
3
3
3
3
3
1
0
0
2
1
3
3
0
0
2
0
0
1
0
3
2
3
2
3
1
3
1
3
3
3
1
2
3
2
0
0
0
2
2
3
0
0
2
1
1
3
2
3
2
1
2
3
3
0
1
1
0
0
0
0
0
1
2
2
3
0
1
3
0
3
2
2
0
0
2
3
2
0
1
3
1
1
0
3
1
0
0
3
2
0
0
1
3
0
3
2
1
3
0
0
3
2
3
0
2
1
0
3
1
2
0
0
3
2
1
3
1
3
0
0
0
3
1
0
1
2
0
0
0
0
3
2
3
2
3
2
0
2
1
0
3
1
0
0
1
3
3
0
0
1
1
1
2
0
0
2
2
2
0
0
0
3
1
3
3
3
3
1
2
0
1
2
1
2
3
3
0
3
3
3
3
3
3
3
0
0
2
0
0
1
0
1
3
3
0
1
0
3
1
0
2
3
2
2
2
1
0
0
1
2
3
1
3
2
2
1
2
1
3
3
2
0
0
3
1
2
2
1
1
1
2
0
3
2
2
1
1
2
3
1
2
2
0
1
2
3
3
3
1
2
0
0
1
0
0
0
2
2
2
3
3
0
0
0
3
1
3
1
2
3
1
0
2
1
1
1
0
0
0
0
3
2
0
0
1
0
0
0
3
3
0
2
0
0
1
2
3
3
3
1
3
1
1
2
0
1
3
1
1
3
0
3
3
1
0
3
2
1
2
3
0
2
0
0
0
0
3
3
1
0
1
0
1
3
3
0
3
3
3
1
1
0
1
2
3
1
1
0
0
2
1
0
0
2
1
0
1
3
1
3
2
0
0
0
3
2
2
0
2
3
1
1
3
0
3
3
2
0
1
3
1
3
0
2
2
3
1
1
1
1
0
2
0
0
0
1
3
3
3
3
0
3
0
0
2
2
0
2
0
3
1
1
0
3
1
2
2
0
0
0
3
3
2
2
3
2
3
0
2
3
0
2
2
3
3
2
0
0
0
0
1
1
1
1
3
0
1
2
2
2
1
1
0
3
3
2
1
1
2
3
2
1
1
3
0
3
3
3
2
2
2
3
2
0
1
2
1
3
3
3
2
1
2
2
3
1
3
3
3
3
3
1
0
0
3
3
3
3
0
3
2
3
2
0
2
2
1
1
2
0
3
1
3
0
3
0
2
0
1
1
1
3
2
3
3
0
1
1
3
3
3
3
0
0
3
1
0
0
2
1
1
2
1
0
0
3
3
2
2
2
2
1
1
0
3
3
3
3
3
0
2
2
2
0
3
3
0
0
3
0
1
2
3
2
2
2
2
2
1
0
2
2
3
1
1
1
1
3
0
1
3
2
3
0
3
3
1
0
3
1
3
2
1
1
1
2
0
2
2
2
3
3
1
1
0
0
0
0
1
0
3
3
0
0
3
2
3
1
2
1
0
3
3
3
1
1
3
3
3
0
1
3
0
0
3
1
0
2
3
3
3
2
3
3
3
2
2
2
2
2
0
3
0
0
0
0
3
3
1
2
1
0
0
2
0
3
3
3
0
3
1
0
1
0
2
3
3
0
0
3
1
2
1
3
1
3
3
2
1
1
1
0
1
2
1
3
0
0
1
2
0
3
0
1
1
3
0
3
1
0
3
3
3
3
0
0
2
2
0
3
3
2
1
0
3
3
3
2
1
1
3
1
2
1
3
2
1
1
0
0
3
0
1
0
3
2
1
1
0
0
2
1
0
0
1
1
1
2
2
3
0
1
2
2
1
3
3
0
3
0
0
0
0
0
1
0
3
0
2
3
2
3
3
0
3
0
3
2
3
3
2
2
0
3
2
1
1
1
2
3
3
0
1
0
0
1
3
1
0
3
0
1
3
2
0
3
2
3
3
0
1
0
1
2
2
3
2
1
3
2
2
2
2
0
3
0
0
0
3
1
0
1
3
1
0
0
0
2
2
3
1
1
3
0
1
3
1
1
3
1
1
0
2
3
0
0
3
0
0
2
2
3
2
2
1
3
2
1
0
2
2
2
0
0
2
3
3
3
0
1
0
3
0
3
1
0
0
1
1
1
2
2
2
0
0
3
0
2
3
2
0
0
2
2
3
3
3
0
0
0
1
2
2
3
1
2
3
2
0
0
0
1
0
0
3
0
0
0
1
1
2
1
3
1
0
2
0
3
1
1
1
3
3
0
1
2
0
2
3
0
1
2
0
1
1
0
3
1
0
3
0
3
3
2
0
3
0
0
3
3
3
0
1
0
1
3
2
3
1
0
3
3
0
3
1
3
0
0
2
2
1
3
3
3
0
2
1
1
2
2
3
0
1
3
0
0
2
0
3
2
3
2
0
2
2
2
2
2
0
1
1
2
3
0
3
0
0
0
3
2
3
1
1
0
0
0
0
2
0
3
0
1
2
0
3
1
3
1
3
1
3
2
2
3
1
1
2
1
3
1
3
3
0
3
2
3
1
0
3
2
2
2
3
1
3
0
1
2
3
2
1
3
3
1
3
3
1
3
3
0
1
0
0
0
0
2
0
3
0
0
1
2
3
0
3
3
1
0
1
0
0
3
3
3
1
0
2
3
1
1
3
2
3
1
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
0
1
2
0
1
2
1
1
2
1
0
3
3
1
0
1
3
3
1
3
3
1
3
3
3
2
1
0
0
1
0
1
2
1
0
0
1
3
1
2
0
0
1
1
1
3
3
3
3
3
1
2
1
1
0
2
2
2
2
1
1
3
2
0
1
1
0
1
2
1
1
0
0
3
3
0
1
0
0
0
1
0
3
1
1
2
0
3
1
3
0
3
0
0
2
3
3
2
0
0
0
0
0
1
3
0
0
3
3
0
2
1
2
1
2
3
2
2
2
2
0
3
2
1
3
1
0
0
1
2
0
3
0
3
3
3
3
3
2
1
0
2
3
2
0
2
0
1
2
2
2
0
1
0
3
3
0
0
2
3
1
3
2
0
2
3
1
1
0
2
2
0
0
0
2
2
2
3
1
2
3
1
2
2
2
0
0
1
3
1
0
3
1
1
0
2
2
3
2
2
2
2
2
3
0
0
0
3
0
2
2
3
2
1
1
3
2
3
2
3
2
2
0
0
0
0
0
2
3
0
3
1
1
3
0
1
3
1
3
0
3
3
3
3
3
0
0
0
3
1
1
1
3
1
0
1
0
0
0
0
3
1
3
2
1
3
1
0
1
0
3
3
0
0
3
2
1
1
0
1
3
3
2
0
1
2
0
3
2
1
2
0
0
1
3
0
2
1
0
3
1
0
2
1