active
U11
tt
N
mark
N
active
U21
tt
M
N
mark
s
plus
N
M
active
and
tt
X
mark
X
active
isNat
0
mark
tt
active
isNat
plus
V1
V2
mark
and
isNat
V1
isNat
V2
active
isNat
s
V1
mark
isNat
V1
active
plus
N
0
mark
U11
isNat
N
N
active
plus
N
s
M
mark
U21
and
isNat
M
isNat
N
M
N
active
U11
X1
X2
U11
active
X1
X2
active
U21
X1
X2
X3
U21
active
X1
X2
X3
active
s
X
s
active
X
active
plus
X1
X2
plus
active
X1
X2
active
plus
X1
X2
plus
X1
active
X2
active
and
X1
X2
and
active
X1
X2
U11
mark
X1
X2
mark
U11
X1
X2
U21
mark
X1
X2
X3
mark
U21
X1
X2
X3
s
mark
X
mark
s
X
plus
mark
X1
X2
mark
plus
X1
X2
plus
X1
mark
X2
mark
plus
X1
X2
and
mark
X1
X2
mark
and
X1
X2
proper
U11
X1
X2
U11
proper
X1
proper
X2
proper
tt
ok
tt
proper
U21
X1
X2
X3
U21
proper
X1
proper
X2
proper
X3
proper
s
X
s
proper
X
proper
plus
X1
X2
plus
proper
X1
proper
X2
proper
and
X1
X2
and
proper
X1
proper
X2
proper
isNat
X
isNat
proper
X
proper
0
ok
0
U11
ok
X1
ok
X2
ok
U11
X1
X2
U21
ok
X1
ok
X2
ok
X3
ok
U21
X1
X2
X3
s
ok
X
ok
s
X
plus
ok
X1
ok
X2
ok
plus
X1
X2
and
ok
X1
ok
X2
ok
and
X1
X2
isNat
ok
X
ok
isNat
X
top
mark
X
top
proper
X
top
ok
X
top
active
X
2.2
active
U21
tt
M
N
plus
N
M
proper
and
X1
X2
and
proper
X1
proper
X2
active
plus
N
0
U11
isNat
N
N
active
isNat
plus
V1
V2
isNat
V1
top
ok
X
top
active
X
plus
X1
mark
X2
plus
X1
X2
plus
ok
X1
ok
X2
plus
X1
X2
isNat
ok
X
isNat
X
top
ok
X
active
X
active
plus
N
s
M
and
isNat
M
isNat
N
proper
U11
X1
X2
U11
proper
X1
proper
X2
proper
isNat
X
isNat
proper
X
active
isNat
s
V1
isNat
V1
active
plus
N
s
M
isNat
N
s
mark
X
s
X
U21
mark
X1
X2
X3
U21
X1
X2
X3
proper
s
X
s
proper
X
active
U11
X1
X2
U11
active
X1
X2
active
s
X
s
active
X
plus
mark
X1
X2
plus
X1
X2
U21
ok
X1
ok
X2
ok
X3
U21
X1
X2
X3
active
and
X1
X2
active
X1
proper
and
X1
X2
proper
X2
active
s
X
active
X
active
U21
X1
X2
X3
U21
active
X1
X2
X3
U11
mark
X1
X2
U11
X1
X2
proper
s
X
proper
X
active
plus
N
0
isNat
N
active
plus
N
s
M
U21
and
isNat
M
isNat
N
M
N
proper
U11
X1
X2
proper
X1
proper
plus
X1
X2
plus
proper
X1
proper
X2
active
plus
X1
X2
active
X1
active
plus
X1
X2
plus
X1
active
X2
proper
isNat
X
proper
X
active
U11
X1
X2
active
X1
and
ok
X1
ok
X2
and
X1
X2
top
mark
X
proper
X
proper
and
X1
X2
proper
X1
and
mark
X1
X2
and
X1
X2
active
and
X1
X2
and
active
X1
X2
active
isNat
plus
V1
V2
and
isNat
V1
isNat
V2
proper
plus
X1
X2
proper
X2
proper
U21
X1
X2
X3
proper
X2
active
U21
X1
X2
X3
active
X1
active
plus
X1
X2
plus
active
X1
X2
proper
plus
X1
X2
proper
X1
active
isNat
plus
V1
V2
isNat
V2
s
ok
X
s
X
proper
U21
X1
X2
X3
proper
X1
U11
ok
X1
ok
X2
U11
X1
X2
active
U21
tt
M
N
s
plus
N
M
active
plus
N
s
M
isNat
M
active
plus
X1
X2
active
X2
proper
U21
X1
X2
X3
U21
proper
X1
proper
X2
proper
X3
top
mark
X
top
proper
X
proper
U11
X1
X2
proper
X2
proper
U21
X1
X2
X3
proper
X3
true
top
mark
X
top
proper
X
top
ok
X
top
active
X
true
isNat
1
1
top
1
1
proper
1
1
ok
1
1
proper
1
1
isNat
1
1
active
1
1
and
2
2
U21
3
5
3
2
1
U11
2
4
2
1
s
1
1
1
top
1
0
and
2
1
2
1
plus
2
0
2
1
0
0
3
s
1
0
mark
1
0
1
plus
2
5
1
2
U11
2
0
1
2
active
1
0
U21
3
0
2
3
1
tt
0
2
U21
3
1
0
2
0
3
0
0
U11
2
1
0
2
0
0
s
1
1
0
top
1
0
and
2
1
0
2
0
0
plus
2
1
0
2
0
0
0
0
0
s
1
0
mark
1
1
0
plus
2
1
0
2
0
0
U11
2
1
0
2
0
0
active
1
0
U21
3
1
0
2
0
3
0
0
tt
0
0
top
ok
X
top
active
X
plus
mark
X1
X2
mark
plus
X1
X2
active
isNat
0
mark
tt
U11
mark
X1
X2
mark
U11
X1
X2
active
plus
N
s
M
mark
U21
and
isNat
M
isNat
N
M
N
active
U11
tt
N
mark
N
active
and
tt
X
mark
X
U21
mark
X1
X2
X3
mark
U21
X1
X2
X3
proper
U11
X1
X2
U11
proper
X1
proper
X2
proper
and
X1
X2
and
proper
X1
proper
X2
plus
X1
mark
X2
mark
plus
X1
X2
plus
ok
X1
ok
X2
ok
plus
X1
X2
s
mark
X
mark
s
X
proper
isNat
X
isNat
proper
X
isNat
ok
X
ok
isNat
X
proper
tt
ok
tt
proper
0
ok
0
active
isNat
plus
V1
V2
mark
and
isNat
V1
isNat
V2
and
ok
X1
ok
X2
ok
and
X1
X2
active
U21
X1
X2
X3
U21
active
X1
X2
X3
active
plus
N
0
mark
U11
isNat
N
N
and
mark
X1
X2
mark
and
X1
X2
proper
plus
X1
X2
plus
proper
X1
proper
X2
U21
ok
X1
ok
X2
ok
X3
ok
U21
X1
X2
X3
active
and
X1
X2
and
active
X1
X2
s
ok
X
ok
s
X
active
plus
X1
X2
plus
active
X1
X2
proper
U21
X1
X2
X3
U21
proper
X1
proper
X2
proper
X3
proper
s
X
s
proper
X
active
s
X
s
active
X
active
U11
X1
X2
U11
active
X1
X2
active
plus
X1
X2
plus
X1
active
X2
active
isNat
s
V1
mark
isNat
V1
U11
ok
X1
ok
X2
ok
U11
X1
X2
active
U21
tt
M
N
mark
s
plus
N
M
top
ok
X
top
active
X
true
U21
3
3
0
U11
2
2
0
s
1
1
0
isNat
1
0
top
1
0
and
2
2
0
plus
2
0
top
1
1
0
proper
1
3
ok
1
1
2
0
0
1
s
1
0
mark
1
0
proper
1
0
isNat
1
1
0
plus
2
1
0
U11
2
0
active
1
1
1
active
1
0
U21
3
0
tt
0
1
and
2
0
plus
mark
X1
X2
mark
plus
X1
X2
active
isNat
0
mark
tt
U11
mark
X1
X2
mark
U11
X1
X2
active
plus
N
s
M
mark
U21
and
isNat
M
isNat
N
M
N
active
U11
tt
N
mark
N
active
and
tt
X
mark
X
U21
mark
X1
X2
X3
mark
U21
X1
X2
X3
proper
U11
X1
X2
U11
proper
X1
proper
X2
proper
and
X1
X2
and
proper
X1
proper
X2
plus
X1
mark
X2
mark
plus
X1
X2
plus
ok
X1
ok
X2
ok
plus
X1
X2
s
mark
X
mark
s
X
proper
isNat
X
isNat
proper
X
isNat
ok
X
ok
isNat
X
proper
tt
ok
tt
proper
0
ok
0
active
isNat
plus
V1
V2
mark
and
isNat
V1
isNat
V2
and
ok
X1
ok
X2
ok
and
X1
X2
active
U21
X1
X2
X3
U21
active
X1
X2
X3
active
plus
N
0
mark
U11
isNat
N
N
and
mark
X1
X2
mark
and
X1
X2
proper
plus
X1
X2
plus
proper
X1
proper
X2
U21
ok
X1
ok
X2
ok
X3
ok
U21
X1
X2
X3
active
and
X1
X2
and
active
X1
X2
s
ok
X
ok
s
X
active
plus
X1
X2
plus
active
X1
X2
proper
U21
X1
X2
X3
U21
proper
X1
proper
X2
proper
X3
proper
s
X
s
proper
X
active
s
X
s
active
X
active
U11
X1
X2
U11
active
X1
X2
active
plus
X1
X2
plus
X1
active
X2
active
isNat
s
V1
mark
isNat
V1
U11
ok
X1
ok
X2
ok
U11
X1
X2
active
U21
tt
M
N
mark
s
plus
N
M
top
mark
X
proper
X
false
top
ok
X
active
X
false
proper
U21
X1
X2
X3
proper
X3
proper
U11
X1
X2
proper
X2
proper
U11
X1
X2
proper
X1
proper
s
X
proper
X
proper
and
X1
X2
proper
X2
proper
U21
X1
X2
X3
proper
X1
proper
plus
X1
X2
proper
X1
proper
U21
X1
X2
X3
proper
X2
proper
plus
X1
X2
proper
X2
proper
and
X1
X2
proper
X1
proper
isNat
X
proper
X
true
U21
3
1
2
3
1
U11
2
1
2
1
s
1
1
1
isNat
1
0
top
1
0
and
2
1
2
1
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
1
s
1
0
mark
1
1
0
proper
1
1
0
isNat
1
1
1
plus
2
1
2
1
U11
2
0
active
1
0
active
1
0
U21
3
0
tt
0
1
and
2
0
proper
s
X
s
proper
X
false
proper
U21
X1
X2
X3
U21
proper
X1
proper
X2
proper
X3
false
proper
plus
X1
X2
plus
proper
X1
proper
X2
false
proper
isNat
X
isNat
proper
X
false
proper
U11
X1
X2
U11
proper
X1
proper
X2
false
proper
and
X1
X2
and
proper
X1
proper
X2
false
active
s
X
active
X
active
plus
X1
X2
active
X2
active
and
X1
X2
active
X1
active
U21
X1
X2
X3
active
X1
active
U11
X1
X2
active
X1
active
plus
X1
X2
active
X1
true
U21
3
1
2
3
1
U11
2
1
2
1
s
1
1
1
isNat
1
0
top
1
0
and
2
1
2
1
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
18624
s
1
0
mark
1
1
0
proper
1
0
isNat
1
1
1
plus
2
1
2
1
U11
2
0
active
1
0
active
1
1
0
U21
3
0
tt
0
1
and
2
0
active
U21
tt
M
N
s
plus
N
M
false
active
U21
tt
M
N
plus
N
M
false
active
isNat
s
V1
isNat
V1
false
active
plus
X1
X2
plus
X1
active
X2
false
active
U11
X1
X2
U11
active
X1
X2
false
active
s
X
s
active
X
false
s
ok
X
s
X
s
mark
X
s
X
true
U21
3
1
2
3
1
U11
2
1
2
29596
s
1
1
1
isNat
1
0
top
1
0
and
2
1
2
38482
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
1
s
1
1
0
mark
1
1
0
proper
1
0
isNat
1
1
1
plus
2
1
2
1
U11
2
0
active
1
0
active
1
0
U21
3
0
tt
0
1
and
2
0
s
mark
X
s
X
s
mark
X
s
X
true
U21
3
1
2
1
U11
2
1
2
14023
s
1
1
0
isNat
1
0
top
1
0
and
2
1
2
1
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
0
s
1
1
0
mark
1
1
23071
proper
1
0
isNat
1
1
0
plus
2
1
2
0
U11
2
0
active
1
1
0
active
1
0
U21
3
0
tt
0
23069
and
2
0
active
plus
X1
X2
plus
active
X1
X2
false
plus
mark
X1
X2
plus
X1
X2
plus
ok
X1
ok
X2
plus
X1
X2
plus
X1
mark
X2
plus
X1
X2
true
U21
3
1
2
1
U11
2
1
2
2
s
1
1
0
isNat
1
0
top
1
0
and
2
1
2
1
plus
2
1
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
0
s
1
0
mark
1
1
11299
proper
1
0
isNat
1
1
0
plus
2
1
2
0
U11
2
0
active
1
1
0
active
1
0
U21
3
0
tt
0
11297
and
2
0
active
and
X1
X2
and
active
X1
X2
false
active
plus
N
0
U11
isNat
N
N
false
U11
mark
X1
X2
U11
X1
X2
U11
ok
X1
ok
X2
U11
X1
X2
true
U21
3
1
2
1
U11
2
1
2
28472
s
1
1
0
isNat
1
0
top
1
0
and
2
1
2
1
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
0
s
1
0
mark
1
1
56908
proper
1
0
isNat
1
1
0
plus
2
1
2
0
U11
2
2
0
active
1
1
0
active
1
0
U21
3
0
tt
0
56906
and
2
0
U11
mark
X1
X2
U11
X1
X2
U11
mark
X1
X2
U11
X1
X2
true
U21
3
1
2
1
U11
2
1
2
2
s
1
1
0
isNat
1
0
top
1
0
and
2
1
2
1
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
0
s
1
0
mark
1
1
3
proper
1
0
isNat
1
1
0
plus
2
1
2
0
U11
2
1
0
active
1
1
0
active
1
0
U21
3
0
tt
0
1
and
2
0
active
plus
N
0
isNat
N
false
active
U21
X1
X2
X3
U21
active
X1
X2
X3
false
active
isNat
plus
V1
V2
and
isNat
V1
isNat
V2
false
active
isNat
plus
V1
V2
isNat
V1
false
active
isNat
plus
V1
V2
isNat
V2
false
active
plus
N
s
M
U21
and
isNat
M
isNat
N
M
N
false
U21
ok
X1
ok
X2
ok
X3
U21
X1
X2
X3
U21
mark
X1
X2
X3
U21
X1
X2
X3
true
U21
3
1
2
1
U11
2
1
2
2
s
1
1
0
isNat
1
0
top
1
0
and
2
1
2
1
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
0
s
1
0
mark
1
1
7110
proper
1
0
isNat
1
1
0
plus
2
1
2
0
U11
2
0
active
1
1
0
active
1
0
U21
3
2
3
0
tt
0
7108
and
2
0
U21
mark
X1
X2
X3
U21
X1
X2
X3
U21
mark
X1
X2
X3
U21
X1
X2
X3
true
U21
3
1
2
1
U11
2
1
2
2
s
1
1
0
isNat
1
0
top
1
0
and
2
1
2
1
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
0
s
1
0
mark
1
1
31365
proper
1
0
isNat
1
1
0
plus
2
1
2
0
U11
2
0
active
1
1
0
active
1
0
U21
3
1
0
tt
0
31363
and
2
0
active
plus
N
s
M
and
isNat
M
isNat
N
false
and
mark
X1
X2
and
X1
X2
and
ok
X1
ok
X2
and
X1
X2
true
U21
3
1
2
1
U11
2
1
2
2
s
1
1
0
isNat
1
0
top
1
0
and
2
1
2
1
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
0
s
1
0
mark
1
1
3
proper
1
0
isNat
1
1
0
plus
2
1
2
0
U11
2
0
active
1
1
0
active
1
0
U21
3
0
tt
0
1
and
2
1
0
active
plus
N
s
M
isNat
M
false
active
plus
N
s
M
isNat
N
false
isNat
ok
X
isNat
X
true
U21
3
1
2
1
U11
2
1
2
2
s
1
1
0
isNat
1
1
0
top
1
0
and
2
1
2
1
plus
2
0
top
1
0
proper
1
1
1
ok
1
1
2
0
0
0
s
1
0
mark
1
1
3
proper
1
0
isNat
1
1
0
plus
2
1
2
0
U11
2
0
active
1
1
0
active
1
0
U21
3
0
tt
0
1
and
2
0
NaTT
certifiable-1.6