tower
0
x1
s
0
p
s
p
s
x1
tower
s
x1
p
s
p
s
twoto
p
s
p
s
tower
p
s
p
s
x1
twoto
0
x1
s
0
x1
twoto
s
x1
p
p
s
p
p
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
twice
0
x1
0
x1
twice
s
x1
p
p
p
s
s
s
s
s
twice
p
p
p
s
s
s
x1
p
p
s
x1
p
x1
p
s
x1
x1
p
0
x1
0
s
s
s
s
s
s
s
s
x1
2.2
tower
s
x1
p
s
twoto
p
s
p
s
tower
p
s
p
s
x1
twoto
s
x1
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
twoto
s
x1
p
s
x1
tower
s
x1
tower
p
s
p
s
x1
twice
s
x1
p
p
p
s
s
s
x1
twice
s
x1
p
p
p
s
s
s
s
s
twice
p
p
p
s
s
s
x1
twice
s
x1
p
s
s
s
s
s
twice
p
p
p
s
s
s
x1
twoto
s
x1
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
twoto
s
x1
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
twice
s
x1
twice
p
p
p
s
s
s
x1
twoto
s
x1
p
p
s
s
s
twoto
p
s
p
s
x1
twice
s
x1
p
p
s
s
s
x1
twoto
s
x1
p
p
p
s
s
s
twoto
p
s
p
s
x1
twoto
s
x1
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
twoto
s
x1
p
s
p
p
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
tower
s
x1
p
s
p
s
x1
twice
s
x1
p
p
s
s
s
s
s
twice
p
p
p
s
s
s
x1
twoto
s
x1
twoto
p
s
p
s
x1
tower
s
x1
p
s
tower
p
s
p
s
x1
twoto
s
x1
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
twoto
s
x1
p
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
twoto
s
x1
p
s
p
s
x1
twoto
s
x1
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
tower
0
x1
p
s
p
s
x1
twoto
s
x1
p
s
s
s
twoto
p
s
p
s
x1
twoto
s
x1
p
p
s
p
p
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
twoto
s
x1
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
twoto
s
x1
p
p
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
p
p
s
x1
p
x1
tower
s
x1
twoto
p
s
p
s
tower
p
s
p
s
x1
tower
s
x1
p
s
p
s
twoto
p
s
p
s
tower
p
s
p
s
x1
tower
s
x1
p
s
x1
twice
s
x1
p
s
s
s
x1
tower
s
x1
p
s
p
s
tower
p
s
p
s
x1
tower
0
x1
p
s
x1
true
tower
s
x1
tower
p
s
p
s
x1
true
2
1
tower
1
0
0
s
1
0
1
1
1
1
43672
98446
twice
1
0
0
p
1
0
0
p
1
0
1
1
0
1
0
0
0
1
1
1
tower
1
0
0
1
0
1
0
0
twoto
1
0
0
twice
1
0
0
twoto
1
0
0
p
s
x1
x1
p
p
s
x1
p
x1
p
0
x1
0
s
s
s
s
s
s
s
s
x1
tower
s
x1
p
s
p
s
twoto
p
s
p
s
tower
p
s
p
s
x1
false
tower
s
x1
twoto
p
s
p
s
tower
p
s
p
s
x1
false
tower
s
x1
p
s
p
s
tower
p
s
p
s
x1
false
tower
s
x1
p
s
x1
false
tower
0
x1
p
s
p
s
x1
false
tower
0
x1
p
s
x1
false
tower
s
x1
p
s
tower
p
s
p
s
x1
false
twoto
s
x1
twoto
p
s
p
s
x1
true
2
1
tower
1
0
0
s
1
0
1
1
1
1
1
3
twice
1
0
0
p
1
0
0
p
1
0
1
1
0
1
0
0
0
1
1
1
tower
1
0
0
1
0
1
0
0
twoto
1
0
0
twice
1
0
0
twoto
1
0
0
1
0
1
0
0
p
s
x1
x1
p
p
s
x1
p
x1
p
0
x1
0
s
s
s
s
s
s
s
s
x1
twoto
s
x1
p
p
s
p
p
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
false
twoto
s
x1
p
p
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
false
twoto
s
x1
p
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
false
twoto
s
x1
p
s
s
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
false
twoto
s
x1
p
s
s
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
false
twoto
s
x1
p
s
s
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
false
twoto
s
x1
p
s
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
false
twoto
s
x1
twice
p
s
p
s
p
p
p
s
s
s
twoto
p
s
p
s
x1
false
twice
s
x1
twice
p
p
p
s
s
s
x1
true
Failed!
NaTT
certifiable-1.6