Search is not available for this dataset
!
int64
0
2
'
int64
0
4
,
int64
0
4
-
int64
0
6
.
int64
0
6
:
int64
0
1
?
int64
0
3
A
int64
0
8
B
int64
0
2
C
int64
0
4
D
int64
0
6
E
int64
0
7
F
int64
0
3
G
int64
0
4
H
int64
0
8
I
int64
0
6
J
int64
0
2
K
int64
0
2
L
int64
0
8
M
int64
0
3
N
int64
0
6
O
int64
0
9
P
int64
0
3
Q
int64
0
1
R
int64
0
6
S
int64
0
7
T
int64
0
6
U
int64
0
5
V
int64
0
3
W
int64
0
5
X
int64
0
1
Y
int64
0
3
Z
int64
0
1
a
int64
0
14
b
int64
0
4
c
int64
0
6
d
int64
0
10
e
int64
0
18
f
int64
0
6
g
int64
0
8
h
int64
0
9
i
int64
0
12
j
int64
0
2
k
int64
0
4
l
int64
0
9
m
int64
0
6
n
int64
0
13
o
int64
0
11
p
int64
0
6
q
int64
0
2
r
int64
0
7
s
int64
0
11
t
int64
0
13
u
int64
0
8
v
int64
0
4
w
int64
0
7
x
int64
0
3
y
int64
0
9
z
int64
0
2
label
stringclasses
2 values
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
0
0
0
0
0
0
3
1
0
0
0
0
0
0
0
2
1
2
0
1
0
2
0
2
0
0
0
0
0
fake
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
1
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
2
3
0
0
0
0
1
0
real
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
2
0
2
0
2
0
0
1
1
1
0
1
1
0
1
0
0
1
3
4
0
0
0
0
1
0
fake
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
1
1
0
0
7
2
0
1
4
0
0
2
0
3
2
3
0
0
2
4
0
0
3
0
0
0
real
0
0
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
10
0
0
2
3
1
1
4
0
1
0
3
0
0
3
4
0
1
3
0
0
0
fake
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
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
real
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
2
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
1
0
0
0
1
0
fake
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
2
1
0
0
0
0
0
0
1
fake
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
0
0
0
2
0
0
0
1
0
1
0
0
0
0
2
1
1
0
0
0
0
fake
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
1
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
fake
1
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
1
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
2
0
1
1
0
0
0
0
0
0
0
real
1
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
2
0
1
1
0
0
0
0
0
0
0
fake
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
1
0
1
1
1
1
0
1
1
0
0
1
0
1
2
0
0
0
2
1
0
0
1
0
0
0
real
0
0
0
0
1
0
0
2
0
1
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
1
0
0
0
1
0
3
0
1
1
2
1
1
0
0
0
0
0
0
3
2
0
0
0
1
1
0
0
0
0
0
0
fake
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
2
0
2
2
3
0
0
2
4
0
0
0
1
2
3
1
0
2
3
6
1
0
1
0
1
0
real
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
4
0
2
5
1
0
0
0
6
0
2
2
0
5
1
1
0
1
4
3
1
0
0
0
1
0
fake
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
1
0
0
0
1
0
0
0
2
0
1
2
1
0
0
0
0
1
1
0
1
0
0
0
0
0
fake
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
1
0
0
0
0
1
1
2
2
0
0
0
0
2
2
0
0
1
1
4
0
0
0
0
0
0
real
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
4
1
0
3
3
0
1
0
0
2
2
1
0
0
0
7
1
0
0
0
2
0
fake
1
1
1
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
3
1
1
0
8
0
1
4
1
0
1
0
1
0
2
1
0
3
5
5
2
0
1
0
0
0
real
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
10
3
0
3
2
0
0
0
1
0
0
0
0
0
4
5
3
1
0
0
0
0
fake
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
2
0
0
0
4
1
0
2
3
0
0
3
0
2
3
3
0
1
1
5
2
0
2
0
2
0
real
0
2
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
4
1
0
0
2
0
0
2
4
0
0
5
0
1
5
3
0
0
0
4
3
0
2
0
4
0
fake
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
1
0
2
0
0
1
0
1
0
0
0
2
0
0
0
0
0
0
0
0
real
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
3
0
0
1
0
0
1
0
0
2
1
1
1
0
0
0
0
0
fake
0
0
1
0
6
0
0
0
0
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
2
0
0
0
0
0
0
1
1
1
1
1
0
0
1
2
0
0
0
0
1
0
real
0
0
2
0
6
0
0
0
0
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
2
0
0
5
0
1
0
0
0
0
3
3
0
0
1
0
2
1
2
0
0
0
0
2
0
fake
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
1
1
2
0
6
0
0
0
1
0
0
3
0
1
1
0
0
1
0
0
0
3
0
0
1
0
real
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
1
1
2
2
5
1
0
0
3
0
0
4
0
4
4
3
0
2
0
0
1
3
0
0
1
0
fake
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
1
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
0
0
0
0
0
0
real
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
1
0
2
1
1
0
0
0
1
1
3
0
0
1
1
2
0
0
0
0
0
0
fake
0
0
0
0
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
1
0
1
0
0
0
3
0
0
0
3
0
2
0
0
1
1
0
1
0
0
0
0
0
real
0
0
1
0
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
1
0
0
0
0
2
0
2
0
0
1
2
0
3
0
0
2
1
1
3
0
0
0
0
0
fake
0
0
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
2
0
0
2
0
0
1
0
0
0
1
0
0
0
0
2
0
0
0
0
1
0
fake
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
0
0
0
0
0
0
2
0
0
0
1
1
2
0
1
0
0
2
0
0
1
0
0
0
3
1
3
1
0
0
1
0
real
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
0
0
0
0
0
0
3
0
0
0
0
2
2
0
0
0
0
2
0
3
0
0
0
1
2
1
4
1
0
0
3
0
fake
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
1
0
0
1
2
0
0
0
0
0
1
0
1
0
1
0
real
0
0
1
0
0
0
1
1
0
2
0
1
0
0
0
0
0
0
1
2
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
2
0
0
0
0
0
1
0
1
0
1
0
fake
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
2
1
4
0
4
1
1
0
2
0
0
1
2
1
5
0
0
1
1
1
2
0
0
1
1
0
real
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
2
4
0
6
0
4
0
0
0
0
1
0
0
9
2
0
0
0
0
3
0
0
1
3
0
fake
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
2
0
0
0
0
0
0
0
2
1
1
0
0
0
0
0
0
0
0
0
1
0
real
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
3
0
0
1
0
0
1
1
3
1
0
1
0
0
0
0
1
0
0
0
1
0
fake
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
2
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
real
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
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
1
1
0
0
0
0
0
fake
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
2
0
0
0
0
0
0
0
0
0
0
1
0
1
2
0
0
0
0
1
0
0
real
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
1
0
0
0
2
0
0
0
0
0
0
0
1
2
0
1
0
1
4
1
1
0
0
1
0
0
fake
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
1
0
0
2
0
1
0
0
0
0
1
2
1
0
0
0
0
1
0
1
0
0
0
0
0
fake
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
1
0
0
0
1
0
0
0
2
0
0
0
0
0
0
0
1
0
0
1
0
0
1
1
0
2
2
2
0
0
0
0
0
0
real
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
1
0
0
0
1
0
0
0
2
0
1
0
3
1
0
0
2
0
1
5
0
0
2
1
0
3
2
1
0
0
0
0
2
0
fake
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
0
1
1
0
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
real
1
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
1
1
0
2
0
1
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
fake
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
4
1
1
1
2
1
1
1
4
0
0
0
1
4
3
2
0
1
0
3
0
0
0
1
0
0
real
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
4
2
1
1
2
0
1
0
5
0
0
0
0
3
3
1
0
0
0
1
1
0
0
1
1
0
fake
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
1
0
0
1
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
real
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
1
0
1
1
0
1
0
0
0
0
0
0
2
0
0
1
1
0
1
0
0
0
0
0
fake
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
0
0
0
0
0
0
0
0
1
1
1
0
1
1
0
0
0
0
0
0
0
real
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
0
0
1
0
1
0
0
0
0
0
0
1
1
1
0
1
0
0
0
0
0
0
0
0
fake
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
1
1
0
0
1
0
0
0
0
0
1
0
0
0
4
2
1
0
0
0
0
0
real
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
2
2
0
0
2
0
1
0
1
0
2
0
0
0
3
3
2
0
0
0
0
0
fake
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
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
1
1
1
0
0
0
0
0
real
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
1
0
0
0
0
0
0
1
0
0
0
0
2
1
3
0
0
1
2
1
1
0
0
0
0
0
fake
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
2
0
1
0
0
0
0
1
1
0
0
0
1
2
1
0
0
1
1
0
0
0
0
0
0
0
real
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
3
0
1
0
0
0
0
1
1
0
0
0
1
1
0
0
0
1
1
0
0
0
0
0
0
0
fake
0
0
0
0
1
0
0
2
0
1
0
1
0
1
1
1
0
0
1
1
4
3
0
0
2
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
real
0
0
1
0
1
0
0
2
0
1
0
1
0
1
1
0
0
0
1
1
4
3
0
0
2
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
1
0
0
0
0
0
fake
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
1
0
0
0
2
1
0
0
1
0
0
1
1
0
1
0
0
2
0
2
0
1
0
0
0
0
real
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
5
0
1
0
3
0
0
2
0
0
0
3
1
1
0
0
0
2
1
3
0
1
1
0
0
0
fake
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
2
0
0
0
1
0
0
1
1
0
1
1
0
1
0
0
0
0
0
0
0
0
fake
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
1
0
1
3
1
2
1
2
1
0
1
0
1
3
0
0
2
1
2
2
0
0
0
1
0
real
0
0
1
0
1
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
1
0
2
1
0
2
2
0
1
0
0
0
0
2
0
0
1
0
1
2
0
0
0
1
0
fake
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
1
1
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
real
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
1
1
0
0
2
0
0
0
2
0
0
1
0
0
0
0
0
2
1
0
0
1
0
0
0
0
fake
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
3
0
0
1
1
0
0
1
0
fake
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
1
0
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
1
0
real
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
1
0
0
0
1
0
0
0
0
0
0
3
0
0
0
0
0
0
0
1
0
0
0
0
1
0
fake
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
1
1
0
0
2
0
1
0
0
0
0
1
0
0
2
1
0
1
1
2
1
0
0
0
0
0
real
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
2
1
0
0
7
0
1
0
0
0
0
2
0
0
3
2
0
4
3
3
1
0
1
0
0
0
fake
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
1
0
2
2
0
0
1
1
0
0
0
0
0
0
0
0
0
0
2
1
0
0
0
1
0
real
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
1
0
2
6
0
0
1
0
0
0
0
1
0
0
0
0
2
1
1
0
0
1
0
0
0
fake
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
2
0
1
0
1
0
0
1
0
0
0
0
0
1
2
0
0
2
1
2
0
0
0
0
0
0
real
2
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
1
0
2
1
4
0
0
1
1
0
0
0
0
4
2
0
0
2
0
3
0
1
0
0
1
0
fake
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
0
0
0
0
1
0
0
1
1
1
0
0
0
0
1
0
real
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
1
1
0
0
1
0
0
1
2
0
0
1
1
1
1
1
0
2
0
4
0
0
0
0
1
0
fake
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
1
1
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
fake
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
3
0
0
0
0
0
0
4
0
1
1
0
0
3
1
3
0
1
0
0
0
0
fake
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
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
fake
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
1
1
0
0
0
0
1
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
real
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
1
1
0
0
0
0
1
0
0
0
0
0
0
2
2
0
0
0
0
1
0
0
1
0
0
0
fake
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
2
0
0
0
2
0
1
0
2
0
1
2
1
1
0
1
0
0
2
1
0
0
0
0
0
0
real
0
0
0
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
4
1
0
0
4
0
0
1
0
0
1
2
0
0
0
1
0
0
2
1
0
0
1
0
0
0
fake
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
0
0
1
1
0
0
0
0
0
0
0
0
1
1
3
0
0
0
0
0
0
fake
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
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
real
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
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
2
1
1
0
1
0
0
0
0
0
0
1
0
fake
1
0
1
1
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
0
0
0
0
1
1
0
1
5
1
2
3
2
0
0
0
1
4
3
0
0
1
0
8
3
0
1
0
0
0
real
1
1
1
2
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
2
2
1
3
2
2
4
4
0
0
2
1
7
3
0
0
0
0
10
3
0
2
0
0
0
fake
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
0
0
0
3
0
0
1
2
1
1
2
1
1
0
3
0
1
4
0
0
2
2
4
6
0
2
0
3
0
real
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
0
0
0
1
2
0
1
6
3
2
2
0
1
0
5
0
0
7
0
0
4
4
4
7
0
2
0
3
0
fake
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
2
0
0
0
2
0
0
0
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
0
0
0
real
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
2
0
0
0
2
1
0
0
2
0
0
0
0
2
0
2
0
2
2
0
0
0
0
0
0
0
fake
0
0
1
0
0
0
1
1
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
2
1
1
1
7
0
0
1
2
0
2
1
2
2
0
1
0
2
4
2
1
0
0
0
0
0
real