output

#1 1
#2 0
#3 2
#4 1
#5 1
#6 2
#7 3
#8 2
#9 2
#10 1
#11 3
#12 2
#13 2
#14 3
#15 3
#16 1
#17 3
#18 3
#19 2
#20 3
#21 3
#22 3
#23 4
#24 2
#25 4
#26 4
#27 3
#28 4
#29 6
#30 5
#31 4
#32 5
#33 3
#34 3
#35 5
#36 6
#37 5
#38 5
#39 5
#40 5
#41 8
#42 5
#43 5
#44 6
#45 4
#46 7
#47 5
#48 8
#49 4
#50 8