. i

f

.

-

I

I r

I

.

.
..

I .
l

.

3

I .

r :

.

.

I . )
..
.
w

p

.r...
I
I
fl
t
I

J

a

?

I
“

r

'

I

k

‘

.

u

‘

-

u

‘

r

.

0

.

4

.

.

.

.

I

I

I

J

 
I
.
L
.
1
.
2
:
.
.
.
r
u
t
.
“
.
I
I
”
:
1
.
.
.
.
.
.
I
.
.
.
I
.
I
.
.
.
I
.
.
I
.
:
I
~
I
.
.
;
a
t
}
.
.
.
A
’
1
6
!
I
I
.
I
I
I
.
.
.
,
I
.
.
.
.
.
I
I
.
.
.
.
.
“
.
I
I
.
.
.
.
5
.
.
.
.
.
U
I
I
.
.
.
.
.
.
.
A
.
.
.
1
.
.
.
.
.
.
r
~
.
.
I
.
v
l
.
.
n
.
.
u
.
.
.
l
I
I
O
.
I
I
I
.
I
.
1
5
“
.
!
I
4
5
.
”
.
7
.
u
.
L
I
}
.
.
.
H
a
fi
z
.
.
.
5
.
.
.
I
.
.
I
I
“
F
a
e
I
I
:
J
.
.
I
I
J
I
I
I
5
.
1
.
.
.
.
o
h
v
v
f
u
l
h
n
'
h
i
l
l
.
1
.
.
1
.
.
.
I
.
.
I
L
.
.
I
I
1
:
.
.
.
x
t
i
l
I
.
I
a
.
:
I
y
r
x
t
I
.
I
.
.
.
.
L
w
e
.
.
.
.
.
.
.
I
I
L
.
F
.
.
.
.
I
_
.
.
.
M
.
_
I
.
I
.
I
.
I
.
.
.
.
l
r
.
.
.
.
.
.
.
fl
a
w
.
P
I
.
.
.
I
.
.
.
a
l
\
L
I
.
.
§
.
I
.
S
W
.
1
.
.
.
(
”
F
u
n
h
r
.
.
r
.
.
r
.
.
.
.
.
.
.
.
{
I
m
w
x
.
.
3
.
.
.
.
.
.
I
I
I
I
u
I
I
I
I
I
.
‘
1
3
2
1
‘
"
n
x
.
U
.
w
a
r
m
.
I
I
I
4
.
.
.
$
.
3
1
.
W
W
I
I
?
w
e
“
.
.
.
.
.
I
.
.
.
.
.
.
.
_
r
.
.
.
W
I
.
.
.
»
1
I
M
.
I
.
.
.
.
M
.
.
n
.
1
.
.
.
N
u
T
fi
—
J
I
n
.
”
I
5
1
.
3
.
I
.
.
_
I
.
[
V
1
7
.
.
.
I
m
.
.
.
.
.
d
u
_
w
w
v
.
I
.
J
I
.
9
.
3
»
.
.
.
I
“
a
"
w
t
"
I
:
m
.
I
I
»
.
.
¢
.
.
I
J
I
.
1
.
.
.
.
a
.
“
a
.
.
.
“
I
f
)
;
f
r
I
.
W
7
.
3
:
4
”
M
e
a
n
m
3
%
.
(
.
3
:
fi
r
m
.
”
I
n
.
.
w
.
k
I
r
.
.
.
.
3
5
.
.
.
.
5
7
.
6
“
.
.
.
.
.
P
.
.
.
.
?
.
.
.
.
:
I
.
.
k
m
;
1
.
.
.
f
h
u
h
”
;
w
.
.
.
I
.
I
2
.
.
I
5
5
.
.
.
m
u
I
I
M
I
M
E
m
.
"
“
M
r
/
M
u
.
V
.
.
I
I
I
I
.
1
.
I
V
-
I
.
.
.
.
I
.
1
a
.
.
F
i
j
i
}
?
y
.
.
.
.
.
1
.
.
w
w
m
m
a
5
.
.
I
u
A
.
»
.
.
fi
f
fi
m
fi
‘
v
—
M
.
.
§
.
W
u
§
.
f
.
1
.
.
.
.
b
i
r
t
h
.
)
“
I
d
a
.
I
I
f
.
.
.
N
3
.
.
.
.
.
n
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
w
.
.
.
»
:
M
fi
x
f
fi
r
fi
u
m
.
.
u
.
.
.
I
.
«
I
.
»
I
I
I
z
I
fl
I
.
.
I
f
;
7
I
I
I
}
.
:
I
I
I
I
}
!
F
I
G
-
m
l
I
n
”
.
.
.
.
7
9
2
!
~
I
.
1
‘
.
a
i
r
—
H
:
n
i
fi
l
.
.
.
r
E
“
?
X
L
.
1
.
!
I
I
.
l
I
.
.
.
I
.
.
.
.
.
I
r
\
.
I
I
.
.
.
I
.
I
I
.
.
.
.
I
.
.
.
I
.
I
.
.
.
1
.
.
.
.
.
U
I
I
I
.
r
.
.
.
m
.
.
-
.
3
.
.
.
.
.
.
.
I
.
.
.
I
.
(
I
?
n
.
.
.
I
.
.
.
.
.
.
.
I
.
I
I
I
}
?
?
?
.
7
.
I
H
:
(
L
I
I
:
l
x
.
 
 
7/17/77/7

7

7

7

7 7 7 7

T
H
E
S
t
S
I
T
h
i
s
i
s
t
o
c
e
r
t
i
f
y
t
h
a
t
t
h
e
d
i
s
s
e
r
t
a
t
i
o
n
e
n
t
i
t
l
e
d
T
H
E
T
I
M
B
E
R
M
O
U
N
T
A
I
N
T
U
F
F
,
S
O
U
T
H
H
E
S
T
E
R
N
N
E
V
A
D
A
V
O
L
C
A
N
I
C
F
I
E
L
D
:
G
e
o
c
h
e
m
i
s
t
r
y
,
M
i
n
e
r
a
l
o
g
y
a
n
d
P
e
t
r
o
g
e
n
e
s
i
s
p
r
e
s
e
n
t
e
d
b
y
J
a
m
e
s
G
o
r
d
o
n
N
i
1
l
5
,
J
r
.
h
a
s
b
e
e
n
a
c
c
e
p
t
e
d
t
o
w
a
r
d
s
f
u
l
fi
l
l
m
e
n
t
o
f
t
h
e
r
e
q
u
i
r
e
m
e
n
t
s
f
o
r
P
h
.
D
.
d
e
g
r
e
e
i
n
G
e
o
l
o
g
y
 
 
 
 
M
a
j
o
r
p
r
o
f
e
s
s
o
r
/
v
D
a
t
e
M
a
r
c
h
1
5
,
1
9
9
1
M
S
U
i
s
a
n
A
f
fi
r
m
a
t
i
v
e
A
c
t
i
o
n
/
E
q
u
a
l
O
p
p
o
r
t
u
n
i
t
y
I
n
s
t
i
t
u
t
i
o
n
0
-
1
2
7
7
1
 
 
 
L
I
B
R
A
R
Y
M
I
c
h
I
g
a
n
S
t
a
t
e
U
n
l
v
e
r
s
l
t
y
7
 
 
 
P
L
A
C
E
I
N
R
E
T
U
R
N
B
O
X
t
o
r
e
m
o
v
e
t
h
i
s
c
h
e
c
k
o
u
t
f
r
o
m
y
o
u
r
r
e
c
o
r
d
.
T
O
A
V
O
I
D
F
I
N
E
S
r
e
t
u
r
n
o
n
o
r
b
e
f
o
r
e
d
a
t
e
d
u
e
.
D
A
T
E
D
U
E
D
A
T
E
D
U
E
D
A
T
E
D
U
E
I
I
.
L
I
?
—
—
7
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
m
l
M
S
U
I
s
A
n
A
f
f
i
r
m
a
t
i
v
e
A
c
t
i
o
N
E
q
u
e
I
O
p
p
o
fl
u
n
l
t
y
I
n
s
t
i
t
u
t
i
o
n
 
 
 
 
c
h
a
-
p
t
 
T
H
E
T
I
M
B
E
R
.
M
O
U
N
T
A
I
N
T
U
F
F
,
S
O
U
T
H
W
E
S
T
E
R
N
N
E
V
A
D
A
.
V
O
L
C
A
N
I
C
F
I
E
L
D
:
G
E
O
C
H
E
M
I
S
T
R
Y
,
M
I
N
E
R
A
L
O
G
Y
A
N
D
P
E
T
R
O
G
E
N
E
S
I
S
V
b
l
u
m
e
I
B
Y
J
a
m
e
s
G
o
r
d
o
n
M
i
l
l
s
,
J
r
.
A
D
I
S
S
E
R
T
A
T
I
O
N
S
u
b
m
i
t
t
e
d
t
o
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
i
n
p
a
r
t
i
a
l
f
u
l
f
i
l
l
m
e
n
t
o
f
t
h
e
r
e
q
u
i
r
e
m
e
n
t
s
f
o
r
t
h
e
d
e
g
r
e
e
o
f
D
O
C
T
O
R
O
F
P
H
I
L
O
S
O
P
H
Y
D
e
p
a
r
t
m
e
n
t
o
f
G
e
o
l
o
g
i
c
a
l
S
c
i
e
n
c
e
s
1
9
9
1
A
B
S
T
R
A
C
T
T
H
E
T
I
M
B
E
R
.
M
D
U
N
T
A
I
N
T
U
F
F
,
S
W
N
E
V
A
D
A
'
V
O
L
C
A
N
I
C
F
I
E
L
D
:
G
E
O
C
H
E
M
I
S
T
R
X
,
M
I
N
E
R
A
L
O
G
Y
A
N
D
P
E
T
R
O
G
E
N
E
S
I
S
B
Y
J
a
m
e
s
G
o
r
d
o
n
M
i
l
l
s
,
J
r
.
A
s
h
-
f
l
o
w
t
u
f
f
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
1
2
0
0
k
m
3
)
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
(
9
0
0
k
m
3
)
w
e
r
e
e
r
u
p
t
e
d
f
r
o
m
c
h
e
m
i
c
a
l
l
y
,
m
i
n
e
r
a
l
o
g
i
c
a
l
l
y
a
n
d
t
h
e
r
m
a
l
l
y
h
e
t
e
r
o
g
e
n
e
o
u
s
m
a
g
m
a
b
o
d
i
e
s
a
p
p
r
o
x
i
m
a
t
e
l
y
1
1
.
6
t
o
1
1
.
4
m
y
a
.
C
h
e
m
i
c
a
l
,
m
i
n
e
r
a
l
o
g
i
c
a
l
a
n
d
t
h
e
r
m
a
l
g
r
a
d
i
e
n
t
s
i
n
t
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
w
e
r
e
d
e
t
e
r
m
i
n
e
d
f
r
o
m
a
n
a
l
y
s
i
s
o
f
g
l
a
s
s
y
p
u
m
i
c
e
c
o
l
l
e
c
t
e
d
f
r
o
m
t
h
e
b
a
s
a
l
a
n
d
u
p
p
e
r
u
n
w
e
l
d
e
d
z
o
n
e
s
a
n
d
v
i
t
r
o
p
h
y
r
e
o
f
e
a
c
h
m
e
m
b
e
r
.
I
t
i
s
i
n
t
e
r
p
r
e
t
e
d
t
h
a
t
t
h
e
i
n
i
t
i
a
l
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
a
s
l
a
y
e
r
e
d
.
O
v
e
r
t
i
m
e
m
o
d
i
f
i
c
a
t
i
o
n
b
y
v
a
r
i
o
u
s
p
r
o
c
e
s
s
e
s
f
o
r
m
e
d
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
h
i
c
h
n
o
w
a
p
p
e
a
r
s
t
o
b
e
z
o
n
e
d
f
r
o
m
a
b
a
s
a
l
t
r
a
c
h
y
a
n
d
e
s
i
t
e
(
5
7
w
t
%
S
i
O
Z
)
t
o
a
r
o
o
f
w
a
r
d
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
7
8
w
t
%
S
i
O
Z
)
.
T
h
e
R
a
i
n
i
e
r
M
e
s
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
a
p
p
e
a
r
s
t
o
h
a
v
e
t
a
p
p
e
d
a
s
e
c
o
n
d
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
m
a
g
m
a
b
o
d
y
w
i
t
h
r
e
l
a
t
i
v
e
l
y
h
i
g
h
e
r
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
N
b
,
T
h
a
n
d
R
b
t
h
a
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
i
n
t
h
e
m
a
i
n
c
h
a
m
b
e
r
.
G
a
p
s
i
n
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
g
r
a
d
i
e
n
t
s
w
h
i
c
h
r
e
f
l
e
c
t
t
h
e
i
n
i
t
i
a
l
l
a
y
e
r
i
n
g
w
i
t
h
i
n
t
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
,
o
c
c
u
r
w
i
t
h
i
n
e
a
c
h
m
e
m
b
e
r
.
V
a
r
i
a
t
i
o
n
s
i
n
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
d
e
t
e
r
m
i
n
e
d
f
r
o
m
F
e
-
T
i
o
x
i
d
e
s
a
r
e
i
n
f
e
r
r
e
d
t
o
r
e
p
r
e
s
e
n
t
g
r
a
d
i
e
n
t
s
t
h
a
t
w
e
r
e
p
r
e
s
e
n
t
i
n
e
a
c
h
m
a
g
m
a
b
o
d
y
(
7
5
5
0
c
,
—
1
3
.
0
9
t
o
8
9
7
0
c
,
-
1
o
.
5
7
;
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
t
o
t
r
a
c
h
y
a
n
d
e
s
i
t
e
r
e
s
p
e
c
t
i
v
e
l
y
a
n
d
7
2
7
0
C
,
-
1
3
.
8
6
t
o
9
0
3
0
C
,
-
1
0
.
9
6
;
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
t
o
t
r
a
c
h
y
d
a
c
i
t
e
r
e
s
p
e
c
t
i
v
e
l
y
)
.
B
o
t
h
m
e
m
b
e
r
s
w
e
r
e
m
o
s
t
l
i
k
e
l
y
z
o
n
e
d
w
i
t
h
r
e
s
p
e
c
t
t
o
H
2
0
a
n
d
C
0
2
a
s
t
r
a
c
h
y
d
a
c
i
t
i
c
t
o
r
h
y
o
l
i
t
i
c
m
a
g
m
a
s
f
o
l
l
o
w
e
d
s
e
p
a
r
a
t
e
d
e
g
a
s
s
i
n
g
p
a
t
h
s
.
T
h
e
m
a
g
m
a
s
f
o
r
b
o
t
h
m
e
m
b
e
r
s
p
r
o
b
a
b
l
y
r
e
s
i
d
e
d
a
t
m
i
d
-
c
r
u
s
t
a
l
l
e
v
e
l
s
(
4
t
o
7
k
b
a
r
s
)
b
a
s
e
d
o
n
F
e
-
T
i
o
x
i
d
e
/
f
e
l
d
s
p
a
r
a
n
d
a
m
p
h
i
b
o
l
e
/
q
u
a
r
t
z
g
e
o
b
a
r
o
m
e
t
e
r
s
.
T
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
o
f
e
a
c
h
m
e
m
b
e
r
p
r
o
b
a
b
l
y
f
o
r
m
e
d
f
r
o
m
d
i
f
f
e
r
e
n
t
d
e
g
r
e
e
s
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
c
r
u
s
t
a
l
r
o
c
k
w
i
t
h
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
b
y
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
,
c
r
u
s
t
a
l
a
s
s
i
m
i
l
a
t
i
o
n
(
u
p
t
o
1
0
%
b
a
s
e
d
o
n
N
d
i
s
o
t
o
p
e
s
)
a
n
d
m
i
n
o
r
m
a
g
m
a
m
i
x
i
n
g
m
o
d
i
f
y
i
n
g
e
a
c
h
p
a
r
t
i
a
l
m
e
l
t
.
P
u
r
e
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
m
o
d
e
l
s
c
a
n
n
o
t
b
e
u
s
e
d
t
o
g
e
n
e
r
a
t
e
t
h
e
m
o
r
e
e
v
o
l
v
e
d
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
b
u
t
,
a
r
e
p
e
r
m
i
s
s
i
v
e
f
o
r
f
o
r
m
a
t
i
o
n
o
f
t
h
e
m
o
r
e
e
v
o
l
v
e
d
m
a
g
m
a
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
B
a
s
e
d
o
n
t
h
e
v
a
r
i
a
b
l
e
s
t
r
a
t
i
g
r
a
p
h
i
c
l
o
c
a
t
i
o
n
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
e
t
e
r
o
g
e
n
e
o
u
s
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
i
t
h
i
n
a
n
a
s
h
-
f
l
o
w
s
h
e
e
t
,
t
h
e
s
t
y
l
e
o
f
m
a
g
m
a
c
h
a
m
b
e
r
e
v
a
c
u
a
t
i
o
n
f
o
r
e
a
c
h
m
e
m
b
e
r
i
s
i
n
f
e
r
r
e
d
t
o
b
e
s
i
m
i
l
a
r
t
o
t
h
e
m
o
d
e
l
p
r
o
p
o
s
e
d
b
y
B
l
a
k
e
a
n
d
I
v
e
y
(
1
9
8
6
)
f
o
r
a
b
o
d
y
o
f
f
l
u
i
d
s
t
r
a
t
i
f
i
e
d
b
y
d
e
n
s
i
t
y
a
n
d
v
i
s
c
o
s
i
t
y
g
r
a
d
i
e
n
t
s
.
T
o
W
o
o
d
y
a
n
d
J
o
h
n
i
v
A
C
K
N
O
W
L
E
D
G
M
E
N
T
S
I
w
o
u
l
d
l
i
k
e
t
o
t
h
a
n
k
m
y
p
a
r
e
n
t
s
f
o
r
p
r
o
v
i
d
i
n
g
c
o
n
t
i
n
u
o
u
s
m
o
r
a
l
s
u
p
p
o
r
t
a
n
d
f
o
r
s
p
u
r
r
i
n
g
m
e
o
n
w
i
t
h
t
h
e
n
e
v
e
r
e
n
d
i
n
g
q
u
e
s
t
i
o
n
"
W
h
e
n
a
r
e
y
o
u
g
o
i
n
g
t
o
b
e
d
o
n
e
?
"
.
T
o
m
V
o
g
e
l
,
w
h
o
h
a
s
a
d
v
i
s
e
d
,
g
u
i
d
e
d
a
n
d
i
n
s
t
r
u
c
t
e
d
m
e
t
h
r
o
u
g
h
o
u
t
t
h
i
s
s
t
u
d
y
,
h
a
s
m
y
s
i
n
c
e
r
e
s
t
t
h
a
n
k
s
a
n
d
g
r
a
t
i
t
u
d
e
.
T
o
m
h
o
w
e
v
e
r
,
s
h
o
u
l
d
n
o
t
b
e
h
e
l
d
r
e
s
p
o
n
s
i
b
l
e
i
n
a
n
y
f
a
s
h
i
o
n
f
o
r
m
y
a
b
i
l
i
t
y
t
o
c
h
o
o
s
e
a
g
o
o
d
b
o
t
t
l
e
o
f
w
i
n
e
v
i
n
e
g
a
r
.
M
y
c
o
m
m
i
t
t
e
e
m
e
m
b
e
r
s
D
a
v
e
L
o
n
g
,
B
i
l
l
C
a
m
b
r
a
y
,
K
a
z
F
u
j
u
i
t
a
a
n
d
D
a
v
e
M
a
t
t
y
a
r
e
t
h
a
n
k
e
d
f
o
r
t
h
e
a
d
v
i
c
e
,
c
o
m
p
u
t
e
r
p
r
o
g
r
a
m
s
a
n
d
c
a
n
d
i
d
c
o
m
m
e
n
t
s
g
i
v
e
n
d
u
r
i
n
g
t
h
e
t
e
n
u
r
e
o
f
t
h
i
s
p
r
o
j
e
c
t
.
T
h
i
s
t
h
e
s
i
s
i
s
i
n
p
a
r
t
d
e
d
i
c
a
t
e
d
t
o
t
h
e
m
e
m
o
r
y
o
f
J
o
h
n
W
i
l
b
a
n
d
,
a
c
o
m
m
i
t
t
e
e
m
e
m
b
e
r
w
h
o
p
r
o
v
i
d
e
d
m
u
c
h
o
f
t
h
e
t
e
c
h
n
i
c
a
l
s
u
p
p
o
r
t
n
e
c
e
s
s
a
r
y
f
o
r
t
h
i
s
s
t
u
d
y
a
n
d
w
a
s
a
l
w
a
y
s
h
a
p
p
y
t
o
h
e
l
p
e
m
p
t
y
t
h
e
r
e
f
r
i
g
e
r
a
t
o
r
a
n
d
d
i
s
c
u
s
s
l
i
f
e
.
I
w
o
u
l
d
l
i
k
e
t
o
t
h
a
n
k
G
e
n
e
S
m
i
t
h
a
t
t
h
e
U
n
i
v
e
r
s
i
t
y
o
f
N
e
v
a
d
a
,
L
a
s
V
e
g
a
s
f
o
r
c
o
n
t
i
n
u
e
d
s
u
p
p
o
r
t
f
r
o
m
t
h
e
b
e
g
i
n
n
i
n
g
.
I
c
a
n
n
o
t
t
h
a
n
k
T
i
m
F
l
o
o
d
a
n
d
T
i
m
R
o
s
e
e
n
o
u
g
h
f
o
r
t
h
e
i
r
c
o
n
t
i
n
u
i
n
g
a
d
v
i
c
e
a
n
d
v
e
r
y
s
p
e
c
i
a
l
f
r
i
e
n
d
s
h
i
p
.
D
a
y
s
a
n
d
n
i
g
h
t
s
w
i
t
h
t
h
e
m
a
t
t
h
e
f
a
r
m
a
n
d
t
h
e
P
B
w
e
r
e
a
n
i
n
t
e
g
r
a
l
p
a
r
t
o
f
t
h
i
s
s
t
u
d
y
.
I
w
o
u
l
d
a
l
s
o
l
i
k
e
t
o
t
h
a
n
k
T
i
m
R
o
s
e
f
o
r
a
l
l
h
i
s
h
e
l
p
w
h
i
l
e
c
o
l
l
e
c
t
i
n
g
s
a
m
p
l
e
s
a
t
t
h
e
N
e
v
a
d
a
T
e
s
t
S
i
t
e
R
e
s
o
r
t
,
a
n
d
,
f
o
r
a
l
l
t
h
e
V
w
o
r
k
a
n
d
i
n
s
i
g
h
t
h
e
h
a
s
c
o
n
t
r
i
b
u
t
e
d
t
o
t
h
i
s
s
t
u
d
y
b
o
t
h
k
n
o
w
i
n
g
l
y
a
n
d
u
n
k
n
o
w
i
n
g
l
y
.
B
e
n
S
c
h
u
r
a
y
t
z
i
s
a
l
s
o
t
h
a
n
k
e
d
f
o
r
h
i
s
f
r
i
e
n
d
s
h
i
p
a
n
d
a
d
v
i
c
e
-
b
u
t
w
i
l
l
I
e
v
e
r
g
e
t
a
c
o
p
y
o
f
y
o
u
r
t
h
e
s
i
s
?
D
a
v
e
C
o
o
k
a
n
d
E
r
i
n
L
y
n
c
h
a
r
e
t
h
a
n
k
e
d
f
o
r
t
h
e
i
r
c
o
n
t
i
n
u
e
d
f
r
i
e
n
d
s
h
i
p
a
n
d
c
o
m
p
a
n
i
o
n
s
h
i
p
,
e
s
p
e
c
i
a
l
l
y
d
u
r
i
n
g
t
h
o
s
e
l
o
n
g
n
i
g
h
t
s
i
n
t
h
e
l
a
b
.
J
a
n
e
B
a
l
l
i
e
n
h
a
s
c
o
n
t
r
i
b
u
t
e
d
m
o
r
e
t
h
a
n
s
h
e
w
i
l
l
e
v
e
r
k
n
o
w
.
N
a
n
c
y
L
a
r
i
v
i
e
r
e
i
s
e
s
p
e
c
i
a
l
l
y
w
o
n
d
e
r
f
u
l
s
t
i
l
l
b
e
l
i
e
v
i
n
g
i
n
m
e
a
n
d
f
o
r
p
u
t
t
i
n
g
u
p
w
i
t
h
t
h
r
e
e
y
e
a
r
s
o
f
s
i
g
n
i
f
i
c
a
n
t
m
o
o
d
c
h
a
n
g
e
s
w
h
i
l
e
f
i
n
i
s
h
i
n
g
u
p
t
h
i
s
s
t
u
d
y
.
R
i
c
k
W
a
r
r
e
n
,
D
a
v
e
B
r
o
x
t
o
n
,
D
a
v
i
d
N
e
a
l
e
y
,
a
n
d
L
a
n
g
F
a
r
m
e
r
w
e
r
e
e
s
s
e
n
t
i
a
l
f
o
r
p
r
o
v
i
d
i
n
g
t
h
o
u
g
h
t
p
r
o
v
o
k
i
n
g
d
i
s
c
u
s
s
i
o
n
s
a
n
d
d
a
t
a
.
T
h
i
s
s
t
u
d
y
w
o
u
l
d
n
o
t
h
a
v
e
b
e
e
n
p
o
s
s
i
b
l
e
w
i
t
h
o
u
t
t
h
e
h
e
l
p
o
f
L
e
e
Y
o
u
n
k
e
r
w
h
o
p
r
o
v
i
d
e
d
m
u
c
h
o
f
t
h
e
l
o
g
i
s
t
i
c
a
l
,
t
e
c
h
n
i
c
a
l
a
n
d
m
o
n
e
t
a
r
y
s
u
p
p
o
r
t
t
h
r
o
u
g
h
t
h
e
B
a
s
i
c
E
n
e
r
g
y
S
c
i
e
n
c
e
P
r
o
g
r
a
m
a
t
b
o
t
h
t
h
e
N
e
v
a
d
a
T
e
s
t
S
i
t
e
a
n
d
a
t
t
h
e
L
a
w
r
e
n
c
e
L
i
v
e
r
m
o
r
e
N
a
t
i
o
n
a
l
L
a
b
o
r
a
t
o
r
y
.
T
h
e
D
e
p
a
r
t
m
e
n
t
o
f
G
e
o
l
o
g
i
c
a
l
S
c
i
e
n
c
e
s
a
t
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
p
r
o
v
i
d
e
d
f
i
n
a
n
c
i
a
l
s
u
p
p
o
r
t
f
o
r
a
p
o
r
t
i
o
n
o
f
t
h
i
s
s
t
u
d
y
t
h
r
o
u
g
h
a
t
e
a
c
h
i
n
g
a
s
s
i
s
t
a
n
t
s
h
i
p
.
M
o
n
m
o
u
t
h
C
o
l
l
e
g
e
i
s
t
h
a
n
k
e
d
f
o
r
p
r
o
v
i
d
i
n
g
l
o
g
i
s
t
i
c
a
l
s
u
p
p
o
r
t
w
h
i
l
e
f
i
n
i
s
h
i
n
g
u
p
t
h
e
m
a
n
u
s
c
r
i
p
t
.
A
n
d
f
i
n
a
l
l
y
I
w
i
s
h
t
o
t
h
a
n
k
W
a
l
t
V
e
n
n
u
m
,
W
o
o
d
y
,
T
o
m
A
n
d
e
r
s
o
n
,
T
e
r
r
y
W
r
i
g
h
t
a
n
d
R
o
l
f
e
E
r
i
k
s
o
n
o
f
S
o
n
o
m
a
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
w
h
o
a
r
e
u
l
t
i
m
a
t
e
l
y
r
e
s
p
o
n
s
i
b
l
e
f
o
r
t
h
i
s
w
h
o
l
e
b
l
o
o
d
y
m
e
s
s
.
v
i
L
i
s
t
o
f
T
a
b
l
e
s
L
i
s
t
o
f
F
i
g
u
r
e
s
I
n
t
r
o
d
u
c
t
i
o
n
T
A
B
L
E
O
F
C
O
N
T
E
N
T
S
P
u
r
p
o
s
e
o
f
s
t
u
d
y
P
r
e
v
i
o
u
s
w
o
r
k
R
e
g
i
o
n
a
l
s
e
t
t
i
n
g
.
T
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
m
p
l
i
n
g
t
e
c
h
n
i
q
u
e
S
a
m
p
l
e
t
y
p
e
S
i
t
e
s
e
l
e
c
t
i
o
n
a
n
d
s
a
m
p
l
i
n
g
t
e
c
h
n
i
q
u
e
G
e
o
c
h
e
m
i
s
t
r
y
.
.
I
n
t
r
o
d
u
c
t
i
o
n
M
a
j
o
r
e
l
e
m
e
n
t
o
x
i
d
e
s
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
T
r
a
c
e
e
l
e
m
e
n
t
s
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
P
e
t
r
o
g
r
a
p
h
y
a
n
d
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
O
v
e
r
v
i
e
w
P
e
t
r
o
g
r
a
p
h
y
P
h
e
n
o
c
r
y
s
t
a
n
d
g
l
a
s
s
c
h
e
m
i
s
t
r
y
F
e
l
d
s
p
a
r
P
e
t
r
o
g
r
a
p
h
y
.
.
.
.
.
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
B
i
o
t
i
t
e
P
e
t
r
o
g
r
a
p
h
y
.
.
.
.
.
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
Q
u
a
r
t
z
P
e
t
r
o
g
r
a
p
h
y
.
.
.
C
l
i
n
o
p
y
r
o
x
e
n
e
.
.
.
.
.
.
P
e
t
r
o
g
r
a
p
h
y
.
.
.
.
.
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
.
.
O
r
t
h
o
p
y
r
o
x
e
n
e
.
.
.
.
.
.
P
e
t
r
o
g
r
a
p
h
y
.
.
.
.
.
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
.
.
v
i
i
i
x
x
i
A
m
p
h
i
b
o
l
e
P
e
t
r
o
g
r
a
p
h
y
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
O
l
i
v
i
n
e
.
.
.
.
P
e
t
r
o
g
r
a
p
h
y
.
.
T
r
a
c
e
P
h
e
n
o
c
r
y
s
t
P
h
a
s
e
s
P
e
t
r
o
g
r
a
p
h
y
G
l
a
s
s
.
C
h
e
m
i
s
t
r
y
G
e
o
t
h
e
r
m
o
m
e
t
r
y
a
n
d
G
e
o
b
a
r
o
m
e
t
r
y
F
e
-
T
i
O
x
i
d
e
G
e
o
t
h
e
r
m
o
m
e
t
r
y
.
T
e
m
p
e
r
a
t
u
r
e
a
n
d
O
x
y
g
e
n
F
u
g
a
c
i
t
y
C
a
l
c
u
l
a
t
i
o
n
s
C
o
e
x
i
s
t
i
n
g
F
e
l
d
s
p
a
r
s
a
n
d
F
e
-
T
i
O
x
i
d
e
s
A
m
p
h
i
b
o
l
e
a
n
d
Q
u
a
r
t
z
G
e
o
b
a
r
o
m
e
t
r
y
D
i
s
c
u
s
s
i
o
n
.
.
G
e
o
c
h
e
m
i
c
a
l
z
o
n
a
t
i
o
n
i
n
M
a
g
m
a
B
o
d
i
e
s
.
B
a
c
k
g
r
o
u
n
d
.
.
.
.
.
T
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
M
a
g
m
a
t
i
c
S
y
s
t
e
m
G
e
o
c
h
e
m
i
c
a
l
H
e
t
e
r
o
g
e
n
e
i
t
y
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
M
a
g
m
a
t
i
c
S
y
s
t
e
m
.
.
.
.
M
i
n
e
r
a
l
o
g
i
c
a
l
V
a
r
i
a
t
i
o
n
s
G
e
o
t
h
e
r
m
o
m
e
t
r
i
c
C
o
n
s
i
d
e
r
a
t
i
o
n
s
.
O
x
y
g
e
n
F
u
g
a
c
i
t
y
a
n
d
S
p
h
e
n
e
-
I
l
m
e
n
i
t
e
S
t
a
b
i
l
i
t
y
.
.
.
.
.
.
.
.
.
.
.
.
.
G
e
o
b
a
r
o
m
e
t
r
y
.
.
.
.
.
.
.
.
.
.
.
.
P
e
t
r
o
g
e
n
e
s
i
s
.
.
.
.
.
O
v
e
r
v
i
e
w
.
.
.
F
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
M
a
g
m
a
m
i
x
i
n
g
.
.
.
.
.
.
.
.
.
.
P
a
r
t
i
a
l
m
e
l
t
i
n
g
/
A
s
s
i
m
i
l
a
t
i
o
n
.
.
.
.
T
r
a
c
h
y
a
n
d
e
s
i
t
e
a
n
d
t
r
a
c
h
y
d
a
c
i
t
e
.
.
R
h
y
o
l
i
t
e
.
.
.
.
.
.
.
.
.
.
.
.
.
M
a
g
m
a
t
i
c
W
a
t
e
r
C
o
n
t
e
n
t
s
.
.
.
.
.
.
.
.
.
.
E
r
u
p
t
i
o
n
d
y
n
a
m
i
c
s
.
.
.
.
.
.
.
.
.
.
.
.
.
.
S
u
m
m
a
r
y
a
n
d
C
o
n
c
l
u
s
i
o
n
s
.
.
.
.
.
.
.
.
.
.
.
A
p
p
e
n
d
i
x
1
.
D
e
s
c
r
i
p
t
i
o
n
o
f
s
a
m
p
l
i
n
g
l
o
c
a
t
i
o
n
s
.
.
A
p
p
e
n
d
i
x
2
.
G
e
o
c
h
e
m
i
c
a
l
d
a
t
a
f
o
r
g
l
a
s
s
y
p
u
m
i
c
e
s
a
m
p
l
e
s
;
M
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
s
(
X
R
F
a
n
d
I
N
A
A
)
.
.
.
.
.
.
.
.
.
.
.
.
.
A
p
p
e
n
d
i
x
3
.
A
n
a
l
y
t
i
c
a
l
t
e
c
h
n
i
q
u
e
s
.
.
.
.
.
.
M
a
j
o
r
a
n
d
T
r
a
c
e
E
l
e
m
e
n
t
s
(
X
R
F
)
.
.
T
r
a
c
e
E
l
e
m
e
n
t
s
(
I
N
A
A
)
.
.
.
.
.
.
.
P
h
e
n
o
c
r
y
s
t
C
o
m
p
o
s
i
t
i
o
n
s
.
.
.
.
.
.
M
a
g
n
e
t
i
t
e
/
I
l
m
e
n
i
t
e
a
n
a
l
y
s
e
s
.
.
.
.
A
p
p
e
n
d
i
x
4
.
E
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
d
a
t
a
f
o
r
p
h
e
n
o
c
r
y
s
t
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
B
i
b
l
i
o
g
r
a
p
h
y
.
.
.
.
.
.
.
.
.
.
.
.
v
i
i
i
-
1
5
1
-
1
6
6
1
7
5
.
1
7
9
.
1
7
9
1
8
7
1
8
9
1
9
2
1
9
7
.
2
0
6
2
0
8
2
3
0
2
3
0
2
3
1
2
3
8
2
4
3
2
5
0
3
1
8
T
a
b
l
e
1
.
T
a
b
l
e
2
.
T
a
b
l
e
3
.
T
a
b
l
e
4
.
T
a
b
l
e
5
.
T
a
b
l
e
6
.
T
a
b
l
e
7
.
T
a
b
l
e
8
.
T
a
b
l
e
9
.
T
a
b
l
e
1
0
.
T
a
b
l
e
1
1
.
L
I
S
T
O
F
T
A
B
L
E
S
G
e
n
e
r
a
l
s
t
r
a
t
i
g
r
a
p
h
y
o
f
t
h
e
m
a
j
o
r
v
o
l
c
a
n
i
c
u
n
i
t
s
i
n
t
h
e
S
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
8
M
o
d
a
l
p
e
t
r
o
g
r
a
p
h
y
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
6
2
T
e
x
t
u
r
a
l
r
e
l
a
t
i
o
n
s
h
i
p
s
o
f
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
.
6
3
F
e
-
T
i
o
x
i
d
e
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
d
a
t
a
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
1
2
1
T
e
x
t
u
r
a
l
c
o
n
d
i
t
i
o
n
o
f
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
a
n
a
l
y
z
e
d
f
o
r
g
e
o
t
h
e
r
m
o
m
e
t
r
y
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
2
3
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
:
M
a
j
o
r
-
e
l
e
m
e
n
t
M
u
l
t
i
p
l
e
L
i
n
e
a
r
R
e
g
r
e
s
s
i
o
n
M
o
d
e
l
s
.
.
.
.
.
1
5
3
P
h
e
n
o
c
r
y
s
t
a
n
d
p
u
m
i
c
e
b
l
o
c
k
c
o
m
p
o
s
i
t
i
o
n
s
u
s
e
d
i
n
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
m
o
d
e
l
l
i
n
g
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
.
.
1
5
4
D
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
u
s
e
d
f
o
r
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
m
o
d
e
l
l
i
n
g
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
6
0
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
m
o
d
e
l
l
i
n
g
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
6
4
M
i
n
e
r
a
l
a
n
a
l
y
s
e
s
u
s
e
d
i
n
r
e
g
r
e
s
s
i
o
n
s
f
o
r
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
m
o
d
e
l
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
F
r
o
m
R
o
s
e
(
1
9
8
8
)
.
.
.
.
.
.
1
6
7
D
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
u
s
e
d
f
o
r
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
m
o
d
e
l
l
i
n
g
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
F
r
o
m
R
o
s
e
(
1
9
8
8
)
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
6
9
i
x
T
a
b
l
e
T
a
b
l
e
T
a
b
l
e
T
a
b
l
e
T
a
b
l
e
T
a
b
l
e
T
a
b
l
e
T
a
b
l
e
1
2
.
l
3
.
l
4
.
A
3
a
.
A
3
b
.
A
3
c
.
A
3
d
.
A
3
e
.
M
a
j
o
r
e
l
e
m
e
n
t
m
u
l
t
i
p
l
e
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
m
o
d
e
l
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
.
.
.
1
7
1
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
t
r
a
c
e
e
l
e
m
e
n
t
m
o
d
e
l
s
a
n
d
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
D
a
t
a
f
r
o
m
R
o
s
e
(
1
9
8
8
)
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
7
2
M
a
g
m
a
m
i
x
i
n
g
m
o
d
e
l
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
F
r
o
m
R
o
s
e
(
1
9
8
8
)
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
7
3
X
-
r
a
y
f
l
u
o
r
e
s
c
e
n
c
e
m
a
j
o
r
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
U
S
G
S
s
t
a
n
d
a
r
d
s
r
u
n
a
s
u
n
k
n
o
w
n
s
c
o
m
p
a
r
e
d
t
o
t
h
e
r
e
p
o
r
t
e
d
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
G
o
v
i
n
d
a
r
a
j
u
(
1
9
8
4
)
.
.
.
2
3
2
X
-
r
a
y
f
l
u
o
r
e
s
c
e
n
c
e
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
U
S
G
S
s
t
a
n
d
a
r
d
s
r
u
n
a
s
u
n
k
n
o
w
n
s
c
o
m
p
a
r
e
d
t
o
t
h
e
r
e
p
o
r
t
e
d
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
G
o
v
i
n
d
a
r
a
j
u
(
1
9
8
4
)
.
.
.
2
3
4
A
n
a
l
y
t
i
c
a
l
e
r
r
o
r
s
f
o
r
I
N
A
A
t
r
a
c
e
e
l
e
m
e
n
t
a
n
a
l
y
s
e
s
b
a
s
e
d
o
n
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
o
f
a
n
a
l
y
z
e
d
U
S
G
S
(
B
I
R
-
l
,
G
-
l
,
G
-
2
,
Q
L
O
—
l
,
R
G
M
-
l
,
S
T
M
-
l
a
n
d
W
-
2
)
,
C
a
n
a
d
i
a
n
(
M
R
G
-
l
a
n
d
S
Y
-
Z
)
a
n
d
J
a
p
a
n
e
s
e
(
J
G
-
1
a
)
r
o
c
k
s
t
a
n
d
a
r
d
s
.
2
3
9
E
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
b
e
a
m
p
a
r
a
m
e
t
e
r
s
a
n
d
a
n
a
l
y
z
e
d
o
x
i
d
e
s
f
o
r
v
a
r
i
o
u
s
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
2
4
2
E
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
m
i
n
e
r
a
l
s
t
a
n
d
a
r
d
s
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
2
4
4
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
1
0
.
L
I
S
T
O
F
F
I
G
U
R
E
S
L
o
c
a
t
i
o
n
m
a
p
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
c
a
l
d
e
r
a
c
o
m
p
l
e
x
a
n
d
a
s
s
o
c
i
a
t
e
d
s
a
m
p
l
i
n
g
s
i
t
e
s
f
o
r
t
h
i
s
s
t
u
d
y
.
.
.
.
A
)
S
t
r
a
t
i
g
r
a
p
h
i
c
v
a
r
i
a
t
i
o
n
i
n
w
h
o
l
e
p
u
m
i
c
e
c
o
m
p
o
s
i
t
i
o
n
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
B
)
S
t
r
a
t
i
g
r
a
p
h
i
c
v
a
r
i
a
t
i
o
n
i
n
w
h
o
l
e
p
u
m
i
c
e
c
o
m
p
o
s
i
t
i
o
n
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
t
r
a
t
i
g
r
a
p
h
i
c
v
a
r
i
a
t
i
o
n
i
n
w
h
o
l
e
p
u
m
i
c
e
c
o
m
p
o
s
i
t
i
o
n
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
S
e
c
t
i
o
n
5
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
8
1
0
2
v
e
r
s
u
s
C
a
O
d
i
s
c
r
i
m
i
n
a
t
i
o
n
d
i
a
g
r
a
m
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
A
)
8
1
0
2
v
e
r
s
u
s
N
b
d
i
s
c
r
i
m
i
n
a
t
i
o
n
d
i
a
g
r
a
m
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
B
)
R
b
v
e
r
s
u
s
N
b
d
i
s
c
r
i
m
i
n
a
t
i
o
n
d
i
a
g
r
a
m
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
T
o
t
a
l
A
l
k
a
l
i
-
s
i
l
i
c
a
c
l
a
s
s
i
f
i
c
a
t
i
o
n
d
i
a
g
r
a
m
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
M
a
j
o
r
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
T
r
a
c
e
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
M
a
j
o
r
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
T
r
a
c
e
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
x
i
1
1
2
2
2
7
2
8
3
1
3
2
3
7
3
8
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
1
1
.
1
2
.
1
3
.
1
4
.
1
5
.
1
6
.
1
7
.
A
)
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
A
l
l
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
p
l
o
t
t
e
d
.
.
.
.
.
.
.
.
.
.
.
.
.
.
B
)
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
s
f
o
r
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
g
r
o
u
p
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
A
)
S
p
i
d
e
r
g
r
a
m
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
A
l
l
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
p
l
o
t
t
e
d
.
B
)
S
p
i
d
e
r
g
r
a
m
s
f
o
r
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
g
r
o
u
p
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
A
)
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
c
o
m
p
a
r
i
n
g
t
h
e
l
o
w
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
t
o
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
B
)
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
c
o
m
p
a
r
i
n
g
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
t
o
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
A
)
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
A
l
l
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
p
l
o
t
t
e
d
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
B
)
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
f
o
r
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
g
r
o
u
p
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
A
)
S
p
i
d
e
r
g
r
a
m
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
A
l
l
c
o
m
p
o
s
i
t
i
o
n
s
p
l
o
t
t
e
d
.
.
.
.
.
B
)
S
p
i
d
e
r
g
r
a
m
s
f
o
r
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
g
r
o
u
p
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
p
l
o
t
c
o
m
p
a
r
i
n
g
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
n
d
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
A
)
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
p
l
o
t
c
o
m
p
a
r
i
n
g
t
h
e
l
o
w
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
t
o
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
B
)
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
p
l
o
t
c
o
m
p
a
r
i
n
g
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
t
o
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
A
)
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
a
s
e
d
o
n
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
g
r
a
i
n
e
d
g
e
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
B
)
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
a
s
e
d
o
n
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
g
r
a
i
n
c
e
n
t
e
r
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
x
i
i
4
3
4
4
4
8
5
0
5
1
5
3
5
4
5
5
5
6
5
7
5
8
5
9
6
8
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
1
9
.
2
0
.
2
1
.
2
2
.
2
3
.
2
4
.
2
5
.
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
y
s
a
m
p
l
e
f
r
o
m
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
A
)
C
e
l
s
i
a
n
v
e
r
s
u
s
a
n
o
r
t
h
i
t
e
c
o
n
t
e
n
t
i
n
f
e
l
d
s
p
a
r
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
B
)
C
e
l
s
i
a
n
v
e
r
s
u
s
a
n
o
r
t
h
i
t
e
c
o
n
t
e
n
t
i
n
f
e
l
d
s
p
a
r
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
A
)
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
a
s
e
d
o
n
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
g
r
a
i
n
e
d
g
e
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
B
)
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
a
s
e
d
o
n
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
g
r
a
i
n
c
e
n
t
e
r
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
y
s
a
m
p
l
e
f
r
o
m
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
M
g
#
o
f
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
5
1
0
2
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
.
T
1
0
2
i
n
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
8
1
0
2
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
M
g
#
o
f
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
$
1
0
2
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
T
i
O
i
n
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
3
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
$
1
0
2
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
A
)
P
l
o
t
o
f
C
l
i
n
o
p
y
r
o
x
e
n
e
a
n
d
o
r
t
h
o
p
y
r
o
x
e
n
e
c
o
m
p
o
s
i
t
i
o
n
s
o
n
t
h
e
p
y
r
o
x
e
n
e
q
u
a
d
i
l
a
t
e
r
a
l
d
i
a
g
r
a
m
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
B
)
P
l
o
t
o
f
C
l
i
n
o
p
y
r
o
x
e
n
e
a
n
d
o
r
t
h
o
p
y
r
o
x
e
n
e
c
o
m
p
o
s
i
t
i
o
n
s
o
n
t
h
e
p
y
r
o
x
e
n
e
q
u
a
d
i
l
a
t
e
r
a
l
d
i
a
g
r
a
m
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
x
i
i
i
6
9
7
O
7
2
7
3
7
6
7
8
7
9
8
0
8
4
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
F
i
g
u
r
e
2
8
.
2
9
.
3
0
.
3
1
.
3
2
.
3
3
.
3
4
.
M
g
#
o
f
C
l
i
n
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
8
1
0
2
c
o
n
t
e
n
t
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
M
g
#
o
f
C
l
i
n
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
8
1
0
2
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
A
)
M
g
#
o
f
o
r
t
h
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
w
h
o
l
e
p
u
m
i
c
e
3
1
0
2
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
B
)
T
1
0
2
i
n
o
r
t
h
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
M
g
#
o
f
o
r
t
h
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
S
i
O
c
o
n
t
e
n
t
o
f
w
h
o
l
e
p
u
m
i
c
e
.
M
i
c
r
o
p
r
o
b
e
a
n
a
I
y
s
e
s
a
r
e
f
r
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
M
g
#
o
f
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
8
1
0
2
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
A
l
O
i
n
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
o
f
t
h
e
R
a
1
n
1
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
$
1
0
2
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
C
a
O
i
n
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
$
1
0
2
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
M
g
#
o
f
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
o
n
l
y
.
.
.
.
.
.
M
a
n
g
a
n
o
a
n
f
a
y
a
l
i
t
e
c
o
m
p
o
s
i
t
i
o
n
s
d
e
t
e
r
m
i
n
e
d
f
r
o
m
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
O
l
i
v
i
n
e
c
o
m
p
o
s
i
t
i
o
n
s
f
r
o
m
o
t
h
e
r
r
h
y
o
l
i
t
i
c
f
l
o
w
s
a
n
d
t
u
f
f
s
a
r
e
p
l
o
t
t
e
d
f
o
r
r
e
f
e
r
e
n
c
e
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
x
i
v
8
8
9
O
9
1
9
3
9
5
9
6
9
7
9
9
F
i
g
u
r
e
3
7
.
B
a
c
k
-
s
c
a
t
t
e
r
e
d
e
l
e
c
t
r
o
n
p
h
o
t
o
m
i
c
r
o
g
r
a
p
h
s
o
f
m
a
n
g
a
n
o
a
n
f
a
y
a
l
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
1
0
1
F
i
g
u
r
e
3
8
.
I
l
m
e
n
i
t
e
g
r
a
i
n
f
r
o
m
s
a
m
p
l
e
R
2
3
-
1
3
w
i
t
h
i
n
c
l
u
s
i
o
n
s
o
f
c
h
e
v
k
i
n
i
t
e
(
w
h
i
t
e
)
,
z
i
r
c
o
n
(
w
h
i
t
e
,
s
q
u
a
r
e
o
u
t
l
i
n
e
s
)
a
n
d
a
p
a
t
i
t
e
(
d
a
r
k
e
l
o
n
g
a
t
e
i
n
c
l
u
s
i
o
n
s
)
.
S
c
a
l
e
b
a
r
o
n
t
h
e
b
o
t
t
o
m
r
i
g
h
t
o
f
t
h
e
p
h
o
t
o
i
s
1
0
0
m
i
c
r
o
n
s
l
o
n
g
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
0
3
F
i
g
u
r
e
3
9
.
A
)
H
i
s
t
o
g
r
a
m
s
o
f
g
l
a
s
s
y
m
a
t
r
i
x
c
o
m
p
o
s
i
t
i
o
n
s
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
d
e
t
e
r
m
i
n
e
d
b
y
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
i
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
:
$
1
0
2
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
0
6
B
)
A
1
2
0
3
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
0
7
C
)
F
e
O
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
0
8
D
)
K
2
0
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
0
9
E
)
C
a
O
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
1
0
F
)
T
1
0
2
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
1
1
F
i
g
u
r
e
4
0
.
A
)
S
i
O
Z
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
1
3
B
)
A
1
2
0
3
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
1
4
C
)
F
e
O
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
1
5
D
)
K
2
0
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
1
6
E
)
C
a
O
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
1
1
7
F
)
T
1
0
2
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
1
8
F
i
g
u
r
e
4
1
.
T
e
m
p
e
r
a
t
u
r
e
v
e
r
s
u
s
f
O
Z
d
i
a
g
r
a
m
d
e
r
i
v
e
d
f
r
o
m
F
e
-
T
i
o
x
i
d
e
p
h
e
n
o
c
r
y
s
t
d
a
t
a
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
D
a
t
a
a
r
e
f
r
o
m
t
h
i
s
s
t
u
d
y
a
n
d
f
r
o
m
L
i
p
m
a
n
(
1
9
7
1
)
.
.
.
.
.
.
.
.
.
.
1
2
0
F
i
g
u
r
e
4
2
A
)
F
e
-
T
i
o
x
i
d
e
a
n
d
c
o
-
e
x
i
s
t
i
n
g
f
e
l
d
s
p
a
r
t
e
m
p
e
r
a
t
u
r
e
/
p
r
e
s
s
u
r
e
d
i
a
g
r
a
m
f
r
o
m
S
t
o
r
m
e
r
a
n
d
W
h
i
t
n
e
y
(
1
9
8
5
)
.
B
)
F
e
-
T
i
o
x
i
d
e
a
n
d
c
o
-
e
x
i
s
t
i
n
g
f
e
l
d
s
p
a
r
t
e
m
p
e
r
a
t
u
r
e
/
p
r
e
s
s
u
r
e
d
a
t
a
f
r
o
m
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
2
6
F
i
g
u
r
e
4
3
.
S
i
O
Z
v
e
r
s
u
s
t
e
m
p
e
r
a
t
u
r
e
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
1
4
3
X
V
 
F
i
g
u
r
e
4
4
.
F
i
g
u
r
e
4
5
.
F
i
g
u
r
e
4
6
.
F
i
g
u
r
e
4
7
.
F
i
g
u
r
e
4
8
.
F
i
g
u
r
e
4
9
.
F
i
g
u
r
e
5
0
.
F
i
g
u
r
e
5
1
.
F
i
g
u
r
e
5
2
.
F
i
g
u
r
e
5
3
.
F
i
g
u
r
e
5
4
.
8
1
0
v
e
r
s
u
s
-
f
0
2
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
.
.
.
.
.
.
.
.
.
.
.
.
.
.
R
b
v
e
r
s
u
s
N
b
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
O
v
e
r
l
a
y
o
f
t
h
e
S
p
i
d
e
r
g
r
a
m
s
f
o
r
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
l
o
w
-
N
b
a
n
d
h
i
g
h
-
N
b
)
a
n
d
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
E
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
c
o
m
p
a
r
i
n
g
t
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
.
N
d
v
e
r
s
u
s
1
/
N
d
d
a
t
a
f
r
o
m
T
e
g
t
m
e
y
e
r
,
e
t
a
l
.
(
1
9
8
9
)
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
5
1
0
2
v
e
r
s
u
s
T
h
,
Y
b
,
Z
r
a
n
d
E
u
f
o
r
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
T
r
a
c
h
y
a
n
d
e
s
i
t
e
a
n
d
t
r
a
c
h
y
d
a
c
i
t
e
d
a
t
a
o
n
l
y
Y
b
/
T
h
v
e
r
s
u
s
T
h
f
o
r
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
.
.
Z
r
/
T
h
a
n
d
E
u
/
T
h
v
e
r
s
u
s
T
h
f
o
r
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
T
r
a
c
h
y
a
n
d
e
s
i
t
e
a
n
d
t
r
a
c
h
y
d
a
c
i
t
e
d
a
t
a
o
n
l
y
H
2
0
v
e
r
s
u
s
C
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
h
o
w
i
n
g
t
h
e
s
e
p
a
r
a
t
e
d
e
g
a
s
s
i
n
g
p
a
t
h
s
f
o
r
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
s
a
n
d
r
h
y
o
l
i
t
e
s
u
s
i
n
g
t
h
e
d
e
g
a
s
s
i
n
g
c
u
r
v
e
s
o
f
N
e
w
m
a
n
,
e
t
a
l
.
,
(
1
9
8
8
)
.
.
.
.
.
.
.
.
.
S
c
h
e
m
a
t
i
c
d
i
a
g
r
a
m
o
f
e
v
a
c
u
a
t
i
o
n
i
s
o
c
h
r
o
n
s
a
s
m
o
d
e
l
l
e
d
b
y
B
l
a
k
e
(
1
9
8
1
)
f
o
r
a
l
i
q
u
i
d
o
f
h
o
m
o
g
e
n
e
o
u
s
d
e
n
s
i
t
y
a
n
d
v
i
s
c
o
s
i
t
y
b
e
i
n
g
d
r
a
i
n
e
d
f
r
o
m
a
s
i
n
g
l
e
v
e
n
t
.
.
.
.
.
.
S
c
h
e
m
a
t
i
c
d
i
a
g
r
a
m
o
f
t
h
e
e
v
a
c
u
a
t
i
o
n
p
r
o
f
i
l
e
f
o
r
t
w
o
l
i
q
u
i
d
s
o
f
c
o
n
t
r
a
s
t
i
n
g
d
e
n
s
i
t
y
(
q
1
,
q
2
)
a
n
d
v
i
s
c
o
s
i
t
y
(
v
l
,
v
2
)
b
e
i
n
g
d
r
a
i
n
e
d
f
r
o
m
a
s
i
n
g
l
e
v
e
n
t
(
B
l
a
k
e
a
n
d
I
v
e
y
,
1
9
8
6
)
F
i
g
u
r
e
A
3
-
1
.
M
g
/
M
n
p
a
r
t
i
t
i
o
n
i
n
g
f
o
r
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
F
i
g
u
r
e
A
3
-
2
.
M
g
/
M
n
p
a
r
t
i
t
i
o
n
i
n
g
f
o
r
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
.
.
.
.
.
.
.
.
.
.
.
.
x
v
i
I
.
1
8
2
.
1
4
4
.
1
7
6
.
1
7
8
.
1
8
0
.
1
8
3
.
1
8
5
.
1
8
6
.
1
9
0
.
1
9
3
.
1
9
5
2
4
7
2
4
8
I
N
T
R
O
D
U
C
T
I
O
N
P
u
r
p
o
s
e
o
f
s
t
u
d
y
T
h
e
p
r
e
s
e
n
c
e
o
f
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
g
r
a
d
i
e
n
t
s
i
n
a
s
h
-
f
l
o
w
t
u
f
f
s
h
a
s
b
e
e
n
r
e
c
o
g
n
i
z
e
d
a
n
d
s
t
u
d
i
e
d
f
o
r
m
a
n
y
y
e
a
r
s
(
W
i
l
l
i
a
m
s
,
1
9
5
2
,
i
n
R
o
s
s
a
n
d
S
m
i
t
h
,
1
9
6
1
;
R
a
t
t
e
a
n
d
S
t
e
v
e
n
,
1
9
6
4
,
L
i
p
m
a
n
,
e
t
a
l
.
,
1
9
6
6
;
L
i
p
m
a
n
,
1
9
6
7
;
S
m
i
t
h
,
1
9
7
9
;
H
i
l
d
r
e
t
h
,
1
9
8
1
,
1
9
8
3
)
.
T
h
e
h
y
p
o
t
h
e
s
i
s
t
h
a
t
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
a
d
i
e
n
t
s
i
n
a
n
a
s
h
—
f
l
o
w
t
u
f
f
r
e
p
r
e
s
e
n
t
e
d
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
a
d
i
e
n
t
s
i
n
t
h
e
p
a
r
e
n
t
m
a
g
m
a
c
h
a
m
b
e
r
w
a
s
a
n
i
m
p
o
r
t
a
n
t
s
t
e
p
i
n
t
h
e
u
n
d
e
r
s
t
a
n
d
i
n
g
o
f
h
i
g
h
—
l
e
v
e
l
s
i
l
i
c
i
c
s
y
s
t
e
m
s
(
c
f
.
S
m
i
t
h
,
1
9
7
9
;
H
i
l
d
r
e
t
h
,
1
9
8
1
)
.
M
o
r
e
o
v
e
r
,
t
h
e
s
t
u
d
y
o
f
l
a
r
g
e
v
o
l
u
m
e
a
s
h
-
f
l
o
w
t
u
f
f
s
a
s
o
p
p
o
s
e
d
t
o
l
a
v
a
s
t
o
g
a
i
n
i
n
s
i
g
h
t
i
n
t
o
m
a
g
m
a
t
i
c
p
r
o
c
e
s
s
e
s
i
s
a
d
v
a
n
t
a
g
e
o
u
s
b
e
c
a
u
s
e
t
h
e
t
u
f
f
s
p
r
o
v
i
d
e
a
v
o
l
u
m
e
t
r
i
c
a
l
l
y
s
u
b
s
t
a
n
t
i
a
l
,
e
s
s
e
n
t
i
a
l
l
y
i
n
s
t
a
n
t
a
n
e
o
u
s
,
q
u
e
n
c
h
e
d
s
a
m
p
l
e
o
f
t
h
e
m
a
g
m
a
b
o
d
y
(
S
m
i
t
h
,
1
9
7
9
;
H
i
l
d
r
e
t
h
,
1
9
8
1
)
.
T
h
r
o
u
g
h
t
h
e
a
n
a
l
y
s
i
s
o
f
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
,
t
h
i
s
s
t
u
d
y
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
a
t
t
e
m
p
t
s
t
o
a
n
s
w
e
r
s
e
v
e
r
a
l
q
u
e
s
t
i
o
n
s
c
o
n
c
e
r
n
i
n
g
t
h
e
m
a
g
m
a
t
i
c
p
r
o
c
e
s
s
e
s
t
h
a
t
m
a
y
h
a
v
e
b
e
e
n
o
p
e
r
a
t
i
n
g
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
m
a
g
m
a
t
i
c
s
y
s
t
e
m
:
1
)
W
h
a
t
w
a
s
t
h
e
r
a
n
g
e
o
f
t
h
e
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
c
o
m
p
o
s
i
t
i
o
n
s
o
f
t
h
e
m
a
g
m
a
a
t
t
h
e
t
i
m
e
o
f
e
r
u
p
t
i
o
n
?
2
)
D
i
d
t
h
e
m
a
g
m
a
s
r
e
s
i
d
e
i
n
a
s
i
n
g
l
e
c
h
a
m
b
e
r
,
o
r
w
e
r
e
t
h
e
y
b
r
o
u
g
h
t
t
o
g
e
t
h
e
r
f
r
o
m
s
e
v
e
r
a
l
d
i
f
f
e
r
e
n
t
c
h
a
m
b
e
r
s
e
i
t
h
e
r
p
r
i
o
r
t
o
o
r
a
t
t
h
e
t
i
m
e
o
f
e
r
u
p
t
i
o
n
?
2
3
)
I
f
a
s
i
n
g
l
e
m
a
g
m
a
c
h
a
m
b
e
r
e
x
i
s
t
e
d
f
o
r
e
a
c
h
m
e
m
b
e
r
,
w
e
r
e
u
n
i
f
o
r
m
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
a
d
i
e
n
t
s
p
r
e
s
e
n
t
,
o
r
w
e
r
e
t
h
e
r
e
d
i
s
c
r
e
t
e
c
o
m
p
o
s
i
t
i
o
n
a
l
l
a
y
e
r
s
w
i
t
h
i
n
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
?
4
)
W
h
a
t
i
s
t
h
e
o
r
i
g
i
n
o
f
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
o
f
t
h
e
m
a
g
m
a
s
:
a
r
e
t
h
e
y
d
u
e
t
o
a
n
u
n
m
i
x
i
n
g
p
r
o
c
e
s
s
s
u
c
h
a
s
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
,
o
r
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
d
i
s
t
i
n
c
t
s
o
u
r
c
e
s
,
o
r
,
d
i
d
a
s
s
i
m
i
l
a
t
i
o
n
o
r
v
a
r
i
a
b
l
e
d
e
g
r
e
e
s
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
m
o
d
i
f
y
t
h
e
i
n
i
t
i
a
l
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
?
5
)
C
a
n
t
h
e
s
t
y
l
e
o
f
m
a
g
m
a
t
i
c
w
i
t
h
d
r
a
w
a
l
f
r
o
m
t
h
e
c
h
a
m
b
e
r
b
e
c
o
n
s
t
r
a
i
n
e
d
,
i
.
e
.
,
w
a
s
t
h
e
c
h
a
m
b
e
r
e
v
a
c
u
a
t
e
d
f
r
o
m
t
h
e
t
o
p
d
o
w
n
,
o
r
w
a
s
t
h
e
m
a
g
m
a
w
i
t
h
d
r
a
w
a
l
m
e
c
h
a
n
i
s
m
m
o
r
e
c
o
m
p
l
e
x
?
T
h
i
s
s
t
u
d
y
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
i
s
n
o
t
e
w
o
r
t
h
y
i
n
t
w
o
w
a
y
s
:
1
)
i
t
i
s
o
n
e
o
f
t
h
e
f
e
w
s
t
u
d
i
e
s
o
f
a
s
h
—
f
l
o
w
t
u
f
f
s
t
h
a
t
d
e
r
i
v
e
s
i
t
s
d
a
t
a
b
a
s
e
f
r
o
m
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
i
n
s
t
e
a
d
o
f
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
m
p
l
e
s
,
a
n
d
2
)
i
t
p
a
r
t
o
f
a
s
y
s
t
e
m
a
t
i
c
i
n
v
e
s
t
i
g
a
t
i
o
n
o
f
t
h
e
l
a
r
g
e
v
o
l
u
m
e
a
s
h
-
f
l
o
w
s
h
e
e
t
s
l
o
c
a
t
e
d
i
n
t
h
e
S
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
(
S
W
N
V
F
)
b
y
t
h
e
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
g
r
o
u
p
(
R
o
s
e
,
1
9
8
8
;
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
a
,
b
;
S
c
h
u
r
a
y
t
z
,
a
l
.
,
1
9
8
9
;
V
o
g
e
l
,
e
t
a
l
.
,
1
9
8
8
)
.
O
t
h
e
r
s
t
u
d
i
e
s
o
f
a
s
h
-
f
l
o
w
t
u
f
f
s
a
n
d
l
a
v
a
s
i
n
t
h
e
S
W
N
V
F
h
a
v
e
r
e
l
i
e
d
a
l
m
o
s
t
e
n
t
i
r
e
l
y
o
n
w
h
o
l
e
-
r
o
c
k
s
a
m
p
l
e
s
(
B
r
o
x
t
o
n
,
e
t
a
l
.
,
1
9
8
9
;
S
a
w
y
e
r
,
e
t
a
l
.
,
1
9
8
9
;
W
a
r
r
e
n
,
i
s
e
t
e
t
a
l
.
,
1
9
8
9
;
W
e
i
s
s
a
n
d
N
o
b
l
e
,
1
9
8
9
)
.
B
y
c
o
m
b
i
n
i
n
g
t
h
e
d
a
t
a
f
r
o
m
t
h
i
s
s
t
u
d
y
a
n
d
t
h
a
t
o
f
o
t
h
e
r
w
o
r
k
e
r
s
i
n
t
h
e
S
W
N
V
F
,
w
i
l
l
e
v
e
n
t
u
a
l
l
y
b
e
a
b
l
e
t
o
e
x
a
m
i
n
e
i
n
d
e
t
a
i
l
t
h
e
o
r
i
g
i
n
a
n
d
e
v
o
l
u
t
i
o
n
o
f
t
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
h
i
c
h
f
o
r
m
e
d
t
h
e
w
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
a
n
d
C
l
a
i
m
C
a
n
y
o
n
n
e
s
t
e
d
c
a
l
d
e
r
a
c
o
m
p
l
e
x
.
P
r
e
v
i
o
u
s
W
O
r
k
P
r
i
o
r
t
o
1
9
6
0
,
o
n
l
y
t
w
o
g
e
o
l
o
g
i
c
s
t
u
d
i
e
s
h
a
d
b
e
e
n
c
o
m
p
l
e
t
e
d
f
o
r
t
h
e
r
e
g
i
o
n
;
B
a
l
l
(
1
9
0
7
)
p
r
e
p
a
r
e
d
a
r
e
g
i
o
n
a
l
g
e
o
l
o
g
i
c
r
e
c
o
n
n
a
i
s
s
a
n
c
e
m
a
p
a
n
d
R
a
n
s
o
m
e
,
e
t
a
l
.
,
(
1
9
1
0
)
p
r
o
d
u
c
e
d
a
d
e
t
a
i
l
e
d
g
e
o
l
o
g
i
c
m
a
p
o
f
t
h
e
B
u
l
l
f
r
o
g
H
i
l
l
s
.
W
i
t
h
t
h
e
o
n
s
e
t
o
f
u
n
d
e
r
g
r
o
u
n
d
n
u
c
l
e
a
r
t
e
s
t
i
n
g
i
n
t
h
e
m
i
d
1
9
6
0
'
s
i
t
w
a
s
a
p
p
a
r
e
n
t
t
h
a
t
d
e
t
a
i
l
e
d
b
a
s
e
m
a
p
s
a
n
d
s
t
r
a
t
i
g
r
a
p
h
i
c
d
a
t
a
w
e
r
e
n
e
c
e
s
s
a
r
y
f
o
r
c
o
n
t
i
n
u
a
t
i
o
n
o
f
t
h
e
u
n
d
e
r
g
r
o
u
n
d
t
e
s
t
i
n
g
p
r
o
g
r
a
m
(
E
c
k
e
l
,
1
9
6
8
)
.
T
h
u
s
,
e
x
t
e
n
s
i
v
e
d
e
t
a
i
l
e
d
m
a
p
p
i
n
g
o
f
t
h
e
r
e
g
i
o
n
w
a
s
c
a
r
r
i
e
d
o
u
t
f
r
o
m
1
9
6
0
t
o
1
9
6
6
b
y
t
h
e
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
.
T
h
e
e
n
d
p
r
o
d
u
c
t
o
f
t
h
i
s
p
r
o
g
r
a
m
w
a
s
t
h
e
g
e
n
e
r
a
t
i
o
n
o
f
3
4
g
e
o
l
o
g
i
c
q
u
a
d
r
a
n
g
l
e
m
a
p
s
r
a
n
g
i
n
g
i
n
s
c
a
l
e
f
r
o
m
1
:
2
4
,
0
0
0
t
o
1
:
6
2
,
0
0
0
(
s
e
e
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
f
o
r
a
m
a
p
i
n
d
e
x
)
.
R
e
v
i
s
i
o
n
s
t
o
,
a
n
d
n
e
w
g
e
o
l
o
g
i
c
d
a
t
a
f
o
r
,
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
c
a
l
d
e
r
a
c
o
m
p
l
e
x
m
a
p
p
i
n
g
p
r
o
j
e
c
t
w
e
r
e
c
o
m
p
i
l
e
d
a
n
d
p
u
b
l
i
s
h
e
d
b
y
B
y
e
r
s
,
e
t
a
l
.
(
1
9
7
6
b
)
a
s
a
1
:
4
8
,
0
0
0
s
c
a
l
e
g
e
o
l
o
g
i
c
m
a
p
.
A
n
a
c
c
o
m
p
a
n
y
i
n
g
p
a
p
e
r
o
n
t
h
e
s
t
r
u
c
t
u
r
e
o
f
t
h
e
c
a
l
d
e
r
a
c
o
m
p
l
e
x
w
a
s
d
o
n
e
b
y
C
h
r
i
s
t
i
a
n
s
e
n
,
e
t
a
l
.
(
1
9
7
7
)
.
B
y
e
r
s
,
e
t
a
l
.
(
1
9
7
6
a
)
,
a
n
d
C
a
r
r
(
1
9
8
6
)
h
a
v
e
s
u
m
m
a
r
i
z
e
d
t
h
e
s
t
r
a
t
i
g
r
a
p
h
i
c
,
g
e
o
c
h
e
m
i
c
a
l
,
a
n
d
s
t
r
u
c
t
u
r
a
l
r
e
l
a
t
i
o
n
s
h
i
p
s
o
f
v
o
l
c
a
n
i
c
u
n
i
t
s
w
i
t
h
i
n
t
h
e
S
W
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
.
W
a
r
r
e
n
,
e
t
a
l
.
,
(
1
9
8
4
)
p
r
e
s
e
n
t
d
e
t
a
i
l
e
d
p
e
t
r
o
g
r
a
p
h
i
c
d
a
t
a
o
n
s
o
m
e
o
f
t
h
e
o
l
d
e
r
v
o
l
c
a
n
i
c
u
n
i
t
s
i
n
t
h
e
f
i
e
l
d
.
D
e
t
a
i
l
e
d
s
t
r
u
c
t
u
r
a
l
s
t
u
d
i
e
s
o
f
t
h
e
r
e
g
i
o
n
w
e
r
e
c
o
m
p
l
e
t
e
d
b
y
C
h
r
i
s
t
i
a
n
s
e
n
,
e
t
a
l
.
,
(
1
9
6
5
)
,
E
k
r
e
n
(
1
9
6
8
)
,
a
n
d
C
a
r
r
(
1
9
8
4
)
.
T
h
e
g
e
o
c
h
e
m
i
c
a
l
d
e
v
e
l
o
p
m
e
n
t
a
n
d
s
e
c
u
l
a
r
e
v
o
l
u
t
i
o
n
o
f
v
o
l
c
a
n
i
c
u
n
i
t
s
a
n
d
t
h
e
i
r
p
a
r
e
n
t
a
l
m
a
g
m
a
s
w
i
t
h
i
n
t
h
e
S
W
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
a
r
e
d
i
s
c
u
s
s
e
d
b
y
L
i
p
m
a
n
,
(
1
9
6
5
,
1
9
7
1
)
,
L
i
p
m
a
n
a
n
d
F
r
i
e
d
m
a
n
(
1
9
7
5
)
,
C
h
r
i
s
t
i
a
n
s
e
n
,
e
t
a
l
.
(
1
9
7
7
)
,
R
o
s
e
(
1
9
8
8
)
,
S
c
h
u
r
a
y
t
z
(
1
9
8
8
)
,
V
o
g
e
l
,
e
t
a
l
.
(
1
9
8
3
,
1
9
8
8
)
,
B
r
o
x
t
o
n
,
e
t
a
l
.
(
1
9
8
5
,
1
9
8
9
)
,
F
l
o
o
d
(
1
9
8
7
,
1
9
8
9
a
,
b
)
,
S
c
h
u
r
a
y
t
z
,
e
t
a
1
.
(
1
9
8
6
,
1
9
8
9
)
,
a
n
d
W
a
r
r
e
n
,
e
t
a
l
.
(
1
9
8
8
,
1
9
8
9
)
.
O
v
e
r
t
h
e
p
a
s
t
s
e
v
e
r
a
l
y
e
a
r
s
,
w
o
r
k
e
r
s
a
t
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
h
a
v
e
f
o
c
u
s
e
d
t
h
e
i
r
s
t
u
d
i
e
s
o
n
t
h
e
l
a
r
g
e
v
o
l
u
m
e
a
s
h
-
f
l
o
w
s
h
e
e
t
s
e
r
u
p
t
e
d
f
r
o
m
t
h
e
B
l
a
c
k
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
(
V
o
g
e
l
,
e
t
a
l
.
,
1
9
8
3
)
,
t
h
e
C
l
a
i
m
C
a
n
y
o
n
c
a
l
d
e
r
a
(
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
1
9
8
6
;
F
l
o
o
d
,
1
9
8
7
,
1
9
8
9
a
,
b
;
S
c
h
u
r
a
y
t
z
,
1
9
8
8
)
,
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
(
1
9
8
9
)
a
n
d
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
c
a
l
d
e
r
a
(
M
i
l
l
s
a
n
d
R
o
s
e
,
1
9
8
6
;
M
i
l
l
s
,
e
t
a
l
.
,
1
9
8
7
;
M
i
l
l
s
a
n
d
V
o
g
e
l
,
1
9
8
8
;
R
o
s
e
,
1
9
8
8
;
V
o
g
e
l
e
t
a
l
.
,
1
9
8
9
;
M
i
l
l
s
a
n
d
R
o
s
e
,
1
9
9
1
)
.
O
t
h
e
r
w
o
r
k
e
r
s
a
t
t
h
e
L
o
s
A
l
a
m
o
s
N
a
t
i
o
n
a
l
L
a
b
o
r
a
t
o
r
y
,
N
e
w
M
e
x
i
c
o
,
h
a
v
e
b
e
e
n
i
n
v
o
l
v
e
d
i
n
a
c
o
n
t
i
n
u
i
n
g
c
o
m
p
r
e
h
e
n
s
i
v
e
s
t
u
d
y
o
f
a
l
l
t
h
e
v
o
l
c
a
n
i
c
u
n
i
t
s
o
f
t
h
e
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
n

t

I

I

'

)

I

(

f
?
(
B
y
e
r
s
,
1
9
8
5
;
B
y
e
r
s
a
n
d
M
o
o
r
e
,
1
9
8
7
;
B
r
o
x
t
o
n
,
e
t
a
l
.
,
1
9
8
2
,
1
9
8
9
;
W
a
r
r
e
n
,
e
t
a
l
.
,
1
9
8
4
,
1
9
8
9
)
.
S
i
g
n
i
f
i
c
a
n
t
f
i
n
d
i
n
g
s
o
f
t
h
e
s
e
s
t
u
d
i
e
s
i
n
c
l
u
d
e
;
t
h
e
d
o
c
u
m
e
n
t
a
t
i
o
n
o
f
a
g
r
e
a
t
e
r
d
i
v
e
r
s
i
t
y
o
f
m
a
g
m
a
t
y
p
e
s
p
r
e
s
e
n
t
a
s
c
o
m
p
a
r
e
d
t
o
e
a
r
l
i
e
r
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
t
u
d
i
e
s
(
V
o
g
e
l
,
e
t
a
l
.
,
1
9
8
3
,
1
9
8
8
;
R
o
s
e
,
1
9
8
8
;
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
a
)
,
m
a
g
m
a
m
i
x
i
n
g
o
f
t
w
o
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
d
i
s
c
r
e
t
e
m
a
g
m
a
t
y
p
e
s
t
o
f
o
r
m
a
n
e
w
,
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
o
m
o
g
e
n
e
o
u
s
m
a
g
m
a
(
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
b
)
,
a
n
d
t
h
e
p
r
e
s
e
n
c
e
o
f
a
c
o
m
p
o
s
i
t
i
o
n
a
l
i
n
t
e
r
f
a
c
e
b
e
t
w
e
e
n
t
w
o
d
i
s
c
r
e
t
e
m
a
g
m
a
t
y
p
e
s
(
q
u
a
r
t
z
l
a
t
i
t
e
a
n
d
r
h
y
o
l
i
t
e
)
p
r
e
s
e
n
t
i
n
t
h
e
s
a
m
e
c
h
a
m
b
e
r
(
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
a
;
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
1
9
8
6
,
1
9
8
9
;
S
c
h
u
r
a
y
t
z
,
1
9
8
8
)
.
R
e
g
i
o
n
a
l
S
e
t
t
i
n
g
T
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
c
a
l
d
e
r
a
c
o
m
p
l
e
x
,
l
o
c
a
t
e
d
i
n
t
h
e
s
o
u
t
h
e
r
n
G
r
e
a
t
B
a
s
i
n
,
w
a
s
a
c
t
i
v
e
f
r
o
m
a
p
p
r
o
x
i
m
a
t
e
l
y
1
3
M
a
t
o
9
.
5
M
a
a
g
o
(
F
i
g
.
1
)
(
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
;
C
h
r
i
s
t
i
a
n
s
e
n
,
e
t
a
l
.
,
1
9
7
7
)
.
V
o
l
c
a
n
i
c
a
c
t
i
v
i
t
y
a
t
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
C
a
l
d
e
r
a
c
o
m
p
l
e
x
w
a
s
p
a
r
t
o
f
a
l
a
r
g
e
r
i
g
n
e
o
u
s
e
v
e
n
t
t
h
a
t
o
c
c
u
r
r
e
d
t
h
r
o
u
g
h
o
u
t
t
h
e
B
a
s
i
n
a
n
d
R
a
n
g
e
P
r
o
v
i
n
c
e
f
r
o
m
E
a
r
l
y
E
o
c
e
n
e
t
o
E
a
r
l
y
P
l
i
o
c
e
n
e
t
i
m
e
(
3
7
M
a
t
o
5
M
a
a
g
o
)
(
E
a
t
o
n
,
1
9
8
4
)
.
T
h
i
s
e
p
i
s
o
d
e
o
f
i
g
n
e
o
u
s
a
c
t
i
v
i
t
y
m
a
y
h
a
v
e
b
e
e
n
r
e
l
a
t
e
d
t
o
s
u
b
d
u
c
t
i
o
n
o
f
t
h
e
F
a
r
a
l
l
o
n
p
l
a
t
e
a
n
d
l
a
t
e
r
r
e
g
i
o
n
a
l
c
r
u
s
t
a
l
e
x
t
e
n
s
i
o
n
(
L
i
p
m
a
n
,
e
t
a
l
.
,
1
9
7
2
;
S
n
y
d
e
r
e
t
a
l
.
,
g

n

i

l

p

m

a

s

d

e

t

.

Y

a

R

U

C

R

i

c

o

E

s

M

F

s

a

O

F

F

U

N

T

O

d

I

n

T

a

U

N

B

I

I

A

x

R

e

T

T

N

S

l

S

U

p

I

P

L

O

m

D

O

L

R

E

H

W

T

A

L

M

o

c

E

R

T

E

a

A

B

M

M

r

I

e

I

X

d

T

O

l

R

a

P

E

c

P

H

A

T

y

e

l

l

a

V

s

i

s

a

O

-

n

i

a

t

n

u

o

M

s

n

o

n

c

s

e

l

s

r

s

e

i

b

M

0

.

c

2

m

P

A

R

G

m

i

T

.

y

e

d

h

u

5

'

t

t

1

O

I

N

s

A

f

R

T

S

o

s

i

p

h

a

t

D

m

E

r

L

o

n

'

o

P

f

5

M

i

A

S

t

s

a

e

c

t

2

o

i

.

L

s

.

1

e

r

u

g

i

F

5

1

°

l

7

"

°

°

.

5

7

7

1

3

3

 
 
 
 
O
l
¥
l
l
O
5
I
O
l
5
Z
D
K
i
l
o
m
e
t
e
u
 
 
 
 
1
(
A
r
m
a
r
e
a
s
,
a
t
0
1
,
I
9
7
6
 
1
9
7
6
;
C
r
o
s
s
a
n
d
P
i
l
g
e
r
,
1
9
7
8
;
E
a
t
o
n
,
1
9
7
9
,
1
9
8
4
;
Z
o
b
a
c
k
,
e
t
a
l
.
,
1
9
8
1
)
.
Q
u
a
t
e
r
n
a
r
y
v
o
l
c
a
n
i
c
a
c
t
i
v
i
t
y
,
p
r
e
d
o
m
i
n
a
n
t
l
y
b
a
s
a
l
t
i
c
i
n
n
a
t
u
r
e
,
o
c
c
u
r
s
s
p
o
r
a
d
i
c
a
l
l
y
t
h
r
o
u
g
h
o
u
t
t
h
e
B
a
s
i
n
a
n
d
R
a
n
g
e
P
r
o
v
i
n
c
e
a
n
d
r
e
p
r
e
s
e
n
t
s
t
h
e
f
i
n
a
l
s
t
a
g
e
o
f
e
x
t
e
n
s
i
o
n
-
r
e
l
a
t
e
d
i
g
n
e
o
u
s
a
c
t
i
v
i
t
y
(
E
a
t
o
n
,
1
9
7
9
,
1
9
8
4
)
.
S
e
v
e
r
a
l
c
a
l
d
e
r
a
s
a
r
e
p
r
e
s
e
n
t
i
n
t
h
e
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
v
o
l
c
a
n
i
c
f
i
e
l
d
(
S
W
N
V
F
)
.
T
h
e
s
e
a
r
e
,
f
r
o
m
o
l
d
e
s
t
t
o
y
o
u
n
g
e
s
t
;
S
l
e
e
p
i
n
g
B
u
t
t
e
(
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
)
,
C
r
a
t
e
r
F
l
a
t
-
P
r
o
s
p
e
c
t
o
r
P
a
s
s
(
C
a
r
r
,
1
9
8
2
)
,
S
i
l
e
n
t
C
a
n
y
o
n
(
N
o
b
l
e
,
e
t
a
l
.
,
1
9
6
8
)
,
C
l
a
i
m
C
a
n
y
o
n
(
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
)
,
T
i
m
b
e
r
M
o
u
n
t
a
i
n
—
O
a
s
i
s
V
a
l
l
e
y
(
B
y
e
r
s
,
e
t
a
l
.
,
1
9
6
8
)
,
B
l
a
c
k
M
o
u
n
t
a
i
n
(
C
h
r
i
s
t
i
a
n
s
e
n
a
n
d
N
o
b
l
e
,
1
9
6
8
;
N
o
b
l
e
a
n
d
C
h
r
i
s
t
i
a
n
s
e
n
,
1
9
6
8
,
1
9
7
4
)
,
a
n
d
S
t
o
n
e
w
a
l
l
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
s
(
W
e
i
s
s
a
n
d
N
o
b
l
e
,
1
9
8
9
)
(
F
i
g
.
1
)
.
E
r
u
p
t
i
o
n
s
i
n
t
h
e
S
W
N
V
F
r
e
s
u
l
t
e
d
p
r
i
m
a
r
i
l
y
i
n
t
h
e
o
u
t
p
o
u
r
i
n
g
o
f
s
m
a
l
l
t
o
l
a
r
g
e
v
o
l
u
m
e
s
(
<
1
0
t
o
>
1
0
0
0
k
m
3
)
o
f
p
y
r
o
c
l
a
s
t
i
c
m
a
t
e
r
i
a
l
w
h
i
c
h
e
v
e
n
t
u
a
l
l
y
f
o
r
m
e
d
a
s
t
r
a
t
i
g
r
a
p
h
i
c
s
e
q
u
e
n
c
e
u
p
t
o
s
e
v
e
r
a
l
k
i
l
o
m
e
t
e
r
s
t
h
i
c
k
o
f
a
i
r
-
f
a
l
l
a
n
d
a
s
h
—
f
a
l
l
t
u
f
f
s
w
i
t
h
m
i
n
o
r
i
n
t
e
r
b
e
d
d
e
d
l
a
v
a
s
(
T
a
b
l
e
1
)
.
E
r
u
p
t
i
o
n
s
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
w
e
r
e
r
e
s
p
o
n
s
i
b
l
e
f
o
r
t
h
e
r
e
s
p
e
c
t
i
v
e
d
e
v
e
l
o
p
m
e
n
t
o
f
t
h
e
C
l
a
i
m
C
a
n
y
o
n
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
c
a
l
d
e
r
a
s
(
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
;
C
h
r
i
s
t
i
a
n
s
e
n
,
e
t
a
l
.
,
1
9
7
7
)
(
F
i
g
.
1
)
.
T
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
h
a
s
a
m
i
n
i
m
u
m
v
o
l
u
m
e
o
f
2
2
0
0
k
m
3
(
S
c
o
t
t
,
e
t
a
l
.
,
1
9
8
4
)
a
n
d
w
a
s
e
r
u
p
t
e
d
p
e
r
i
o
d
i
c
a
l
l
y
o
v
e
r
8
T
a
b
l
e
1
.
G
e
n
e
r
a
l
s
t
r
a
t
i
g
r
a
p
h
y
o
f
t
h
e
m
a
j
o
r
v
o
l
c
a
n
i
c
u
n
i
t
s
i
n
t
h
e
S
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
.
 
 
F
o
r
m
a
t
i
o
n
1
M
e
m
b
e
r
V
o
l
u
m
e
V
o
l
c
a
n
i
c
A
g
e
(
k
m
3
)
C
e
n
t
e
r
(
M
a
)
l
A
l
l
u
v
i
u
m
B
a
s
a
l
t
s
S
t
o
n
e
w
a
l
l
F
l
a
t
T
u
f
f
C
i
v
e
t
C
a
t
C
a
n
y
o
n
S
t
o
n
e
w
a
l
l
M
t
n
.
6
S
p
e
a
r
h
e
a
d
c
a
l
d
e
r
a
6
T
h
i
r
s
t
y
C
a
n
y
o
n
T
u
f
f
G
o
l
d
F
l
a
t
2
0
B
l
a
c
k
M
t
n
.
c
a
l
d
e
r
a
7
.
T
r
a
i
l
R
i
d
g
e
2
5
7
.
5
P
a
h
u
t
e
M
e
s
a
5
0
-
7
5
7
R
o
c
k
e
t
W
a
s
h
5
0
-
7
5
7
R
h
y
o
l
i
t
e
o
f
S
h
o
s
h
o
n
e
S
h
o
s
h
o
n
e
M
t
n
.
9
M
o
u
n
t
a
i
n
M
a
f
i
c
l
a
v
a
s
M
o
a
t
o
f
T
i
m
b
e
r
M
t
n
.
9
-
1
0
c
a
l
d
e
r
a
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
A
m
m
o
n
i
a
T
a
n
k
s
9
0
0
T
i
m
b
e
r
M
t
n
.
-
O
a
s
i
s
1
1
.
4
R
a
i
n
i
e
r
M
e
s
a
1
2
0
0
V
a
l
l
e
y
c
a
l
d
e
r
a
1
1
.
6
R
h
y
o
l
i
t
e
l
a
v
a
s
o
f
T
i
m
b
e
r
M
t
n
.
c
a
l
d
e
r
a
1
1
-
1
3
F
o
r
t
y
m
i
l
e
C
a
n
y
o
n
P
a
i
n
t
b
r
u
s
h
T
u
f
f
T
i
v
a
C
a
n
y
o
n
1
0
0
0
C
l
a
i
m
C
a
n
y
o
n
c
a
l
d
e
r
a
1
2
.
9
Y
u
c
c
a
M
o
u
n
t
a
i
n
<
4
0
T
i
m
b
e
r
M
t
n
.
-
O
a
s
i
s
1
3
P
a
h
C
a
n
y
o
n
(
2
0
V
a
l
l
e
y
c
a
l
d
e
r
a
1
3
T
o
p
o
p
a
h
S
p
r
i
n
g
1
2
0
0
c
o
m
p
l
e
x
1
3
.
4
W
a
h
m
o
n
i
e
a
n
d
S
a
l
y
e
r
f
o
r
m
a
t
i
o
n
s
W
a
h
m
o
n
i
e
a
r
e
a
1
3
.
5
C
r
a
t
e
r
F
l
a
t
T
u
f
f
P
r
o
w
P
a
s
s
2
0
C
r
a
t
e
r
F
l
a
t
-
P
r
o
s
p
e
c
t
o
r
1
3
.
9
B
u
l
l
f
r
o
g
1
9
0
P
a
s
s
c
a
l
d
e
r
a
c
o
m
p
l
e
x
1
3
.
9
T
r
a
m
1
7
0
1
3
.
9
B
e
l
t
e
d
R
a
n
g
e
T
u
f
f
G
r
o
u
s
e
C
a
n
y
o
n
2
1
0
S
i
l
e
n
t
C
a
n
y
o
n
1
3
.
6
-
1
4
.
2
T
u
b
S
p
r
i
n
g
6
0
-
1
0
0
c
a
l
d
e
r
a
1
4
D
a
c
i
t
e
l
a
v
a
s
a
n
d
P
e
r
i
p
h
e
r
y
o
f
C
r
a
t
e
r
1
4
b
r
e
c
c
i
a
s
F
l
a
t
L
i
t
h
i
c
R
i
d
g
e
T
u
f
f
>
2
3
0
U
n
c
e
r
t
a
i
n
1
3
.
9
-
1
4
.
3
R
h
y
o
l
i
t
e
o
f
K
a
w
i
c
h
S
i
l
e
n
t
C
a
n
y
o
n
c
a
l
d
e
r
a
1
5
V
a
l
l
e
y
"
O
l
d
e
r
"
t
u
f
f
s
U
n
c
e
r
t
a
i
n
>
1
4
.
3
S
a
n
i
d
i
n
e
-
r
i
c
h
t
u
f
f
s
U
n
c
e
r
t
a
i
n
1
5
T
u
f
f
o
f
Y
u
c
c
a
F
l
a
t
U
n
c
e
r
t
a
i
n
1
5
R
e
d
r
o
c
k
V
a
l
l
e
y
T
u
f
f
U
n
c
e
r
t
a
i
n
1
6
 
l
S
t
r
a
t
i
g
r
a
p
h
y
f
r
o
m
B
y
e
r
s
,
e
t
a
l
.
,
(
1
9
8
9
)
2
K
-
A
r
d
a
t
e
s
f
r
o
m
B
y
e
r
s
,
e
t
a
l
.
(
1
9
7
6
a
,
1
9
8
9
)
;
B
r
o
x
t
o
n
,
e
t
a
l
.
(
1
9
8
9
)
;
W
a
r
r
e
n
,
e
t
a
l
.
(
1
9
8
9
)
;
S
a
w
y
e
r
a
n
d
S
a
r
g
e
n
t
(
1
9
8
9
)
;
V
o
g
e
l
,
e
t
a
l
.
(
1
9
8
9
)
;
W
e
i
s
s
a
n
d
N
o
b
l
e
(
1
9
8
9
)
0
.
5
M
a
(
1
3
.
4
m
y
a
t
o
1
2
.
9
m
y
a
)
(
B
r
o
x
t
o
n
,
e
t
a
l
.
,
1
9
8
9
)
.
I
n
c
r
e
m
e
n
t
a
l
c
o
l
l
a
p
s
e
o
f
t
h
e
c
a
l
d
e
r
a
i
s
i
n
d
i
c
a
t
e
d
b
y
i
n
t
e
r
b
e
d
d
e
d
b
r
e
c
c
i
a
s
o
f
e
a
r
l
i
e
r
e
r
u
p
t
e
d
t
u
f
f
s
,
a
n
d
t
h
i
c
k
d
e
p
o
s
i
t
s
o
f
c
a
l
d
e
r
a
f
i
l
l
(
C
h
r
i
s
t
i
a
n
s
e
n
,
e
t
a
l
.
,
1
9
7
7
)
.
L
i
p
m
a
n
,
e
t
a
l
.
,
(
1
9
6
6
)
a
n
d
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
(
1
9
8
6
,
1
9
8
9
)
h
a
v
e
r
e
p
o
r
t
e
d
d
e
t
a
i
l
e
d
l
i
t
h
o
l
o
g
i
c
a
n
d
c
h
e
m
i
c
a
l
s
t
u
d
i
e
s
o
n
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
T
o
p
o
p
a
h
S
p
r
i
n
g
M
e
m
b
e
r
.
A
n
a
l
y
s
e
s
o
f
t
h
e
o
v
e
r
l
y
i
n
g
P
a
h
C
a
n
y
o
n
,
Y
u
c
c
a
M
o
u
n
t
a
i
n
,
a
n
d
T
i
v
a
C
a
n
y
o
n
M
e
m
b
e
r
s
h
a
v
e
b
e
e
n
p
e
r
f
o
r
m
e
d
b
y
W
a
r
r
e
n
,
e
t
a
l
.
,
(
1
9
8
9
)
a
n
d
F
l
o
o
d
,
e
t
a
l
.
,
(
1
9
8
9
a
,
1
9
8
9
b
)
.
A
p
p
r
o
x
i
m
a
t
e
l
y
1
1
.
6
M
a
a
g
o
,
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
n
i
t
i
a
t
e
d
c
o
l
l
a
p
s
e
o
f
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
r
o
o
f
r
e
s
u
l
t
i
n
g
i
n
f
o
r
m
a
t
i
o
n
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
(
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
,
b
;
B
r
o
x
t
o
n
,
e
t
a
l
.
,
1
9
8
9
)
.
F
u
r
t
h
e
r
s
u
b
s
i
d
e
n
c
e
o
f
t
h
e
c
a
u
l
d
r
o
n
r
e
s
u
l
t
e
d
a
f
t
e
r
e
r
u
p
t
i
o
n
o
f
p
y
r
o
c
l
a
s
t
i
c
m
a
t
e
r
i
a
l
w
h
i
c
h
f
o
r
m
e
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
(
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
;
C
h
r
i
s
t
i
a
n
s
e
n
,
e
t
a
l
.
,
1
9
7
7
;
B
r
o
x
t
o
n
,
e
t
a
l
.
,
1
9
8
9
)
.
A
l
t
h
o
u
g
h
i
n
i
t
i
a
l
c
a
l
c
u
l
a
t
i
o
n
s
o
f
K
/
A
r
d
a
t
e
s
i
n
d
i
c
a
t
e
d
a
0
.
2
M
a
i
n
t
e
r
v
a
l
b
e
t
w
e
e
n
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
r
e
-
c
a
l
c
u
l
a
t
i
o
n
o
f
t
h
e
s
e
d
a
t
e
s
a
n
d
n
e
w
w
o
r
k
b
y
S
a
w
y
e
r
(
1
9
9
0
,
p
e
r
s
.
c
o
m
m
.
)
i
n
d
i
c
a
t
e
s
t
h
a
t
t
h
e
t
i
m
e
b
e
t
w
e
e
n
e
r
u
p
t
i
o
n
s
d
a
t
e
i
s
v
i
r
t
u
a
l
l
y
i
n
d
i
s
t
i
n
g
u
i
s
h
a
b
l
e
w
i
t
h
c
u
r
r
e
n
t
A
r
/
A
r
d
a
t
i
n
g
t
e
c
h
n
i
q
u
e
s
.
R
e
s
u
r
g
e
n
c
e
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
o
c
c
u
r
r
e
d
a
f
t
e
r
e
r
u
p
t
i
o
n
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
n
d
r
e
s
u
l
t
e
d
i
n
1
2
0
0
m
o
f
u
p
l
i
f
t
f
o
r
m
i
n
g
t
h
e
r
I
I
.
a
n
v
i
l
-
"
v
y
-
V
b
-
u
V
fi
b
»
o
r
h
r
.
.
.
-
1
0
p
r
e
s
e
n
t
d
a
y
T
i
m
b
e
r
M
o
u
n
t
a
i
n
(
C
h
r
i
s
t
i
a
n
s
e
n
,
e
t
a
l
.
,
1
9
7
7
)
.
N
e
s
t
i
n
g
o
f
t
h
e
c
a
l
d
e
r
a
s
,
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
t
h
e
B
l
a
c
k
M
o
u
n
t
a
i
n
a
n
d
S
t
o
n
e
w
a
l
l
c
a
l
d
e
r
a
s
,
m
o
s
t
l
i
k
e
l
y
r
e
p
r
e
s
e
n
t
s
t
h
e
e
m
p
l
a
c
e
m
e
n
t
a
n
d
e
r
u
p
t
i
o
n
o
f
a
s
e
r
i
e
s
o
f
c
o
n
t
i
n
u
o
u
s
l
y
e
v
o
l
v
i
n
g
a
n
d
p
e
r
i
o
d
i
c
a
l
l
y
r
e
p
l
e
n
i
s
h
e
d
m
a
g
m
a
b
o
d
i
e
s
(
B
r
o
x
t
o
n
,
e
t
a
l
.
,
1
9
8
9
)
.
V
o
l
c
a
n
i
s
m
w
a
n
e
d
f
o
l
l
o
w
i
n
g
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
,
a
d
d
i
n
g
o
n
l
y
t
w
o
s
m
a
l
l
—
v
o
l
u
m
e
a
s
h
-
f
l
o
w
t
u
f
f
s
(
F
l
e
u
r
d
e
L
i
s
R
a
n
c
h
a
n
d
t
u
f
f
o
f
C
u
t
o
f
f
R
o
a
d
)
,
a
s
e
r
i
e
s
o
f
r
h
y
o
l
i
t
e
f
l
o
w
s
a
l
o
n
g
t
h
e
c
a
l
d
e
r
a
r
i
m
,
a
n
d
m
i
n
o
r
b
a
s
a
l
t
f
l
o
w
s
(
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
,
b
;
C
h
r
i
s
t
i
a
n
s
e
n
,
e
t
a
l
.
,
1
9
7
7
)
.
T
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
T
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
i
s
a
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
,
c
o
m
p
o
u
n
d
c
o
o
l
i
n
g
u
n
i
t
(
F
i
g
.
2
,
T
a
b
l
e
1
)
.
A
p
i
n
k
,
r
h
y
o
l
i
t
i
c
,
t
u
f
f
a
c
e
o
u
s
b
a
s
e
i
s
s
e
p
a
r
a
t
e
d
f
r
o
m
a
n
o
v
e
r
l
y
i
n
g
d
a
r
k
b
r
o
w
n
t
o
b
l
a
c
k
t
r
a
c
h
y
a
n
d
e
s
i
t
i
c
t
o
t
r
a
c
h
y
d
a
c
i
t
i
c
t
u
f
f
b
y
a
p
a
r
t
i
a
l
c
o
o
l
i
n
g
b
r
e
a
k
.
T
h
e
m
o
r
e
m
a
f
i
c
(
t
r
a
c
h
y
a
n
d
e
s
i
t
e
a
n
d
t
r
a
c
h
y
d
a
c
i
t
e
)
w
h
o
l
e
-
r
o
c
k
t
u
f
f
c
o
m
p
o
s
i
t
i
o
n
s
w
e
r
e
o
r
i
g
i
n
a
l
l
y
r
e
f
e
r
r
e
d
t
o
b
y
B
y
e
r
s
,
e
t
a
l
.
(
1
9
7
6
a
)
a
s
q
u
a
r
t
z
l
a
t
i
t
e
f
o
r
b
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
O
n
l
y
w
h
e
n
s
p
e
c
i
f
i
c
r
e
f
e
r
e
n
c
e
i
s
m
a
d
e
t
o
t
h
e
w
h
o
l
e
-
r
o
c
k
t
u
f
f
w
o
r
k
o
f
B
y
e
r
s
,
e
t
a
l
.
(
1
9
7
6
a
)
w
i
l
l
t
h
e
t
e
r
m
q
u
a
r
t
z
l
a
t
i
t
e
b
e
u
s
e
d
.
t
-
“
S
u
n
H
R
A
I
N
I
E
R
M
E
S
A
M
B
R
.
.
S
E
C
T
I
O
N
8
 
 
 
 
 
 
 
 
 
A
8
0
I
u
u
u
E
E
1
(
D
6
0
‘
H
U
J
:
E
E
,
4
0
L
-
J
:
%
U
N
W
E
L
D
E
D
T
O
P
I
n
E
]
E
]
[
g
m
E
]
C
E
2
2
0
_
V
I
T
R
O
P
H
Y
R
E
[
1
]
m
y
_
'
—
<
1
c
:
1
—
U
N
W
E
L
D
E
D
B
A
S
E
m
0
l
l
l
J
5
5
6
0
6
5
7
0
7
5
8
0
P
U
M
I
C
E
S
i
O
2
(
W
t
%
1
A
M
M
O
N
I
A
T
A
N
K
S
M
B
R
.
.
S
E
C
T
I
O
N
4
B
3
0
u
l
I
l
E
'
:
E
.
1
L
D
6
0
r
H
I
I
I
E
]
E
l
L
I
L
-
:
1
U
N
W
E
L
D
E
D
T
O
P
0
m
L
J
.
H
4
0
-
:
r
0
.
<
1
E
H
2
0
'
T
[
—
<
1
E
U
N
W
E
L
D
E
D
B
A
S
E
m
o
.
r
.
"
.
.
m
5
5
6
0
6
5
.
7
0
7
5
8
0
P
U
M
I
C
E
S
l
O
2
(
w
t
%
1
F
i
g
u
r
e
2
.
A
)
S
t
r
a
t
i
g
r
a
p
h
i
c
v
a
r
i
a
t
i
o
n
i
n
w
h
o
l
e
p
u
m
i
c
e
c
o
m
p
o
s
i
t
i
o
n
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
B
)
S
t
r
a
t
i
g
r
a
p
h
i
c
v
a
r
i
a
t
i
o
n
i
n
w
h
o
l
e
p
u
m
i
c
e
c
o
m
p
o
s
i
t
i
o
n
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
E
T
h
e
o
u
t
f
l
o
w
s
h
e
e
t
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
t
y
p
i
c
a
l
l
y
e
x
h
i
b
i
t
s
a
l
l
t
h
r
e
e
z
o
n
e
s
o
f
w
e
l
d
i
n
g
a
s
d
e
f
i
n
e
d
b
y
S
m
i
t
h
(
1
9
6
0
a
,
b
)
;
1
)
z
o
n
e
o
f
n
o
w
e
l
d
i
n
g
,
2
)
z
o
n
e
o
f
p
a
r
t
i
a
l
w
e
l
d
i
n
g
,
a
n
d
3
)
z
o
n
e
o
f
d
e
n
s
e
w
e
l
d
i
n
g
.
W
h
e
r
e
e
x
p
o
s
e
d
a
n
d
n
o
t
r
e
m
o
v
e
d
b
y
e
r
o
s
i
o
n
,
b
o
t
h
a
b
a
s
a
l
a
n
d
u
p
p
e
r
z
o
n
e
o
f
n
o
w
e
l
d
i
n
g
a
r
e
p
r
e
s
e
n
t
.
T
h
e
s
e
z
o
n
e
s
o
f
n
o
w
e
l
d
i
n
g
g
r
a
d
e
r
a
p
i
d
l
y
i
n
t
o
z
o
n
e
s
o
f
p
a
r
t
i
a
l
w
e
l
d
i
n
g
w
h
i
c
h
i
n
t
u
r
n
g
r
a
d
e
i
n
t
o
a
z
o
n
e
o
f
d
e
n
s
e
w
e
l
d
i
n
g
w
h
e
r
e
t
h
e
a
s
h
-
f
l
o
w
t
u
f
f
h
a
s
s
u
f
f
i
c
i
e
n
t
t
h
i
c
k
n
e
s
s
.
T
h
e
z
o
n
e
o
f
d
e
n
s
e
w
e
l
d
i
n
g
c
o
m
m
o
n
l
y
f
o
r
m
s
a
b
l
a
c
k
v
i
t
r
o
p
h
y
r
e
.
F
i
a
m
m
e
a
r
e
c
o
m
m
o
n
i
n
t
h
i
s
v
i
t
r
o
p
h
y
r
i
c
z
o
n
e
.
T
h
e
b
a
s
a
l
z
o
n
e
o
f
n
o
w
e
l
d
i
n
g
a
n
d
l
o
w
e
r
z
o
n
e
o
f
p
a
r
t
i
a
l
w
e
l
d
i
n
g
a
r
e
c
o
m
m
o
n
l
y
g
l
a
s
s
y
a
n
d
p
u
m
i
c
e
r
i
c
h
.
T
h
e
u
p
p
e
r
z
o
n
e
o
f
p
a
r
t
i
a
l
w
e
l
d
i
n
g
i
s
a
l
w
a
y
s
d
e
v
i
t
r
i
f
i
e
d
a
n
d
m
a
y
c
o
n
t
a
i
n
a
r
e
g
i
o
n
o
f
v
a
p
o
r
-
p
h
a
s
e
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
.
T
h
e
u
p
p
e
r
z
o
n
e
o
f
n
o
w
e
l
d
i
n
g
i
s
u
s
u
a
l
l
y
g
l
a
s
s
y
a
n
d
p
u
m
i
c
e
r
i
c
h
.
T
h
e
c
o
o
l
i
n
g
b
r
e
a
k
n
o
t
e
d
b
y
B
y
e
r
s
,
e
t
a
l
.
(
1
9
7
6
a
)
i
s
d
i
f
f
i
c
u
l
t
t
o
f
i
n
d
i
n
m
a
n
y
o
f
t
h
e
o
u
t
c
r
o
p
s
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
T
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
s
a
c
o
m
p
o
u
n
d
a
s
h
-
f
l
o
w
s
h
e
e
t
(
F
i
g
.
2
,
T
a
b
l
e
1
)
.
B
y
e
r
s
,
e
t
a
l
.
,
(
1
9
7
6
a
,
1
9
7
6
b
)
d
e
t
e
r
m
i
n
e
d
t
h
a
t
t
h
e
a
s
h
-
f
l
o
w
s
h
e
e
t
c
o
n
s
i
s
t
s
o
f
a
n
u
p
p
e
r
a
n
d
l
o
w
e
r
c
o
o
l
i
n
g
u
n
i
t
.
B
y
e
r
s
,
e
t
a
l
.
,
(
1
9
7
6
a
)
f
u
r
t
h
e
r
s
u
b
d
i
v
i
d
e
d
t
h
e
l
o
w
e
r
a
n
d
u
p
p
e
r
u
n
i
t
s
i
n
t
o
r
h
y
o
l
i
t
i
c
a
n
d
q
u
a
r
t
z
l
a
t
i
t
i
c
s
u
b
u
n
i
t
s
.
1
3
T
h
e
a
r
e
a
l
d
i
s
t
r
i
b
u
t
i
o
n
o
f
c
o
o
l
i
n
g
u
n
i
t
s
a
s
d
e
f
i
n
e
d
b
y
B
y
e
r
s
,
e
t
a
l
.
,
(
1
9
7
6
a
)
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
i
t
h
i
n
a
n
d
b
e
y
o
n
d
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
i
s
q
u
i
t
e
c
o
m
p
l
e
x
(
s
e
e
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
,
p
.
4
6
-
4
7
f
o
r
a
d
e
t
a
i
l
e
d
d
i
s
c
u
s
s
i
o
n
)
.
T
h
e
p
r
e
s
e
n
c
e
o
f
a
m
o
d
e
r
a
t
e
l
y
-
f
a
u
l
t
e
d
,
a
d
d
i
t
i
o
n
a
l
c
o
o
l
i
n
g
u
n
i
t
a
t
t
h
e
b
a
s
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
n
P
a
h
u
t
e
M
e
s
a
h
a
s
c
o
m
p
l
i
c
a
t
e
d
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
d
i
s
t
i
n
c
t
i
o
n
b
e
t
w
e
e
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
T
h
i
s
u
n
i
t
i
s
s
i
g
n
i
f
i
c
a
n
t
i
n
t
h
a
t
i
t
c
o
n
t
a
i
n
s
s
o
m
e
o
f
t
h
e
m
o
s
t
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
o
u
n
d
i
n
a
l
l
o
f
t
h
e
c
o
l
l
e
c
t
e
d
s
e
c
t
i
o
n
s
.
N
o
b
l
e
,
e
t
a
l
.
,
(
1
9
6
7
)
m
a
p
p
e
d
t
h
i
s
a
d
d
i
t
i
o
n
a
l
u
n
i
t
a
s
a
l
o
w
e
r
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
B
a
s
e
d
o
n
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
c
h
e
m
i
c
a
l
a
n
a
l
y
s
e
s
p
e
r
f
o
r
m
e
d
b
y
R
o
s
e
(
1
9
8
8
)
,
t
h
i
s
e
n
i
g
m
a
t
i
c
u
n
i
t
i
s
m
o
r
e
s
i
m
i
l
a
r
t
o
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
m
a
y
r
e
p
r
e
s
e
n
t
a
p
r
e
v
i
o
u
s
l
y
u
n
r
e
c
o
g
n
i
z
e
d
u
p
p
e
r
c
o
o
l
i
n
g
u
n
i
t
r
e
l
a
t
e
d
t
o
t
h
e
R
a
i
n
i
e
r
M
e
s
a
e
r
u
p
t
i
v
e
p
h
a
s
e
.
T
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
s
i
m
i
l
a
r
i
t
y
o
f
t
h
e
s
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
t
o
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
m
a
y
b
e
e
v
i
d
e
n
c
e
t
h
a
t
t
h
i
s
s
m
a
l
l
c
o
o
l
i
n
g
u
n
i
t
w
a
s
e
r
u
p
t
e
d
a
t
a
l
a
t
e
r
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
a
r
y
s
t
a
g
e
t
h
a
n
t
h
e
m
a
i
n
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
m
a
g
m
a
t
i
c
p
h
a
s
e
a
n
d
t
h
u
s
w
o
u
l
d
r
e
p
r
e
s
e
n
t
a
t
r
a
n
s
i
t
i
o
n
a
l
m
a
g
m
a
t
i
c
p
h
a
s
e
b
e
t
w
e
e
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
F
u
r
t
h
e
r
d
e
t
a
i
l
e
d
w
o
r
k
n
e
e
d
s
t
o
b
e
p
e
r
f
o
r
m
e
d
o
n
t
h
i
s
u
n
i
t
.
T
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
s
h
i
g
h
l
y
v
a
r
i
a
b
l
e
w
i
t
h
r
e
s
p
e
c
t
t
o
t
h
e
p
r
e
s
e
n
c
e
o
f
t
h
e
v
a
r
i
o
u
s
z
o
n
e
s
o
f
w
e
l
d
i
n
g
i
n
1
4
a
n
y
g
i
v
e
n
a
r
e
a
.
I
n
s
o
m
e
a
r
e
a
s
t
h
e
b
a
s
a
l
a
n
d
u
p
p
e
r
z
o
n
e
s
o
f
n
o
w
e
l
d
i
n
g
g
r
a
d
e
i
n
t
o
t
h
e
z
o
n
e
o
f
d
e
n
s
e
w
e
l
d
i
n
g
a
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
I
n
o
t
h
e
r
a
r
e
a
s
h
o
w
e
v
e
r
,
t
h
e
b
a
s
a
l
z
o
n
e
o
f
n
o
w
e
l
d
i
n
g
m
a
y
b
e
a
b
s
e
n
t
a
n
d
t
h
e
t
u
f
f
w
i
l
l
b
e
p
a
r
t
i
a
l
l
y
w
e
l
d
e
d
a
t
t
h
e
b
a
s
a
l
c
o
n
t
a
c
t
w
i
t
h
t
h
e
u
n
d
e
r
l
y
i
n
g
a
i
r
-
f
a
l
l
t
u
f
f
.
A
l
t
e
r
n
a
t
i
v
e
l
y
,
i
n
o
t
h
e
r
a
r
e
a
s
(
s
u
c
h
a
s
s
e
c
t
i
o
n
5
(
s
a
m
p
l
e
s
A
5
-
X
X
)
)
,
t
h
e
e
n
t
i
r
e
t
h
i
c
k
n
e
s
s
o
f
t
u
f
f
(
u
p
t
o
3
5
m
e
t
e
r
s
t
h
i
c
k
)
m
a
y
e
x
h
i
b
i
t
o
n
l
y
i
n
c
i
p
i
e
n
t
w
e
l
d
i
n
g
.
P
u
m
i
c
e
(
a
n
d
f
i
a
m
m
e
w
h
e
r
e
d
e
n
s
e
l
y
w
e
l
d
e
d
)
a
r
e
u
b
i
q
u
i
t
o
u
s
t
h
r
o
u
g
h
o
u
t
t
h
e
t
h
i
c
k
n
e
s
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
T
h
e
c
o
o
l
i
n
g
b
r
e
a
k
b
e
t
w
e
e
n
t
h
e
l
o
w
e
r
a
n
d
u
p
p
e
r
u
n
i
t
s
o
f
B
y
e
r
s
,
e
t
a
l
.
(
1
9
7
6
a
)
w
a
s
d
i
f
f
i
c
u
l
t
t
o
f
i
n
d
i
n
m
o
s
t
o
u
t
c
r
o
p
s
.
S
A
M
P
L
I
N
G
T
E
C
H
N
I
Q
U
E
S
a
m
p
l
e
T
y
p
e
H
i
s
t
o
r
i
c
a
l
l
y
,
g
e
o
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
s
t
u
d
i
e
s
o
f
a
s
h
-
f
l
o
w
t
u
f
f
s
h
a
v
e
b
e
e
n
p
r
e
d
o
m
i
n
a
n
t
l
y
b
a
s
e
d
u
p
o
n
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
m
p
l
e
s
.
I
n
m
a
n
y
i
n
s
t
a
n
c
e
s
,
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
a
r
e
c
o
l
l
e
c
t
e
d
i
n
a
d
d
i
t
i
o
n
t
o
t
h
e
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
m
p
l
e
s
f
o
r
c
o
m
p
a
r
a
t
i
v
e
s
t
u
d
i
e
s
.
I
n
a
f
e
w
s
t
u
d
i
e
s
,
s
u
c
h
a
s
t
h
a
t
b
y
L
e
a
t
,
e
t
a
l
.
(
1
9
8
4
)
o
n
c
a
l
d
e
r
a
s
o
f
t
h
e
K
e
n
y
a
R
i
f
t
V
a
l
l
e
y
,
o
n
l
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
e
r
e
u
s
e
d
.
I
n
t
h
e
s
e
s
t
u
d
i
e
s
r
e
l
y
i
n
g
s
o
l
e
l
y
o
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
,
s
a
m
p
l
i
n
g
t
e
c
h
n
i
q
u
e
a
n
d
s
a
m
p
l
e
n
u
m
b
e
r
m
u
s
t
b
e
a
d
e
q
u
a
t
e
t
o
d
o
c
u
m
e
n
t
t
h
e
f
u
l
l
r
a
n
g
e
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
.
S
o
m
e
v
o
l
u
m
e
t
r
i
c
a
l
l
y
l
a
r
g
e
a
s
h
-
f
l
o
w
t
u
f
f
s
h
o
w
e
v
e
r
,
s
u
c
h
a
s
t
h
e
F
i
s
h
C
a
n
y
o
n
T
u
f
f
(
>
3
0
0
0
k
m
3
)
o
f
t
h
e
S
a
n
J
u
a
n
V
o
l
c
a
n
i
c
F
i
e
l
d
,
s
o
u
t
h
e
r
n
C
o
l
o
r
a
d
o
,
h
a
v
e
s
u
r
p
r
i
s
i
n
g
l
y
h
o
m
o
g
e
n
e
o
u
s
c
o
m
p
o
s
i
t
i
o
n
s
f
o
r
b
o
t
h
w
h
o
l
e
-
r
o
c
k
t
u
f
f
a
n
d
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
(
c
f
.
W
h
i
t
n
e
y
a
n
d
S
t
o
r
m
e
r
,
1
9
8
5
)
.
T
h
u
s
a
s
m
a
l
l
n
u
m
b
e
r
o
f
s
a
m
p
l
e
s
i
n
t
h
i
s
t
y
p
e
o
f
s
i
t
u
a
t
i
o
n
m
a
y
n
o
t
c
r
e
a
t
e
a
b
i
a
s
i
n
t
h
e
d
o
c
u
m
e
n
t
a
t
i
o
n
o
f
t
h
e
t
y
p
e
s
o
f
m
a
g
m
a
p
r
e
s
e
n
t
i
n
t
h
e
p
a
r
e
n
t
m
a
g
m
a
b
o
d
y
.
S
t
u
d
i
e
s
o
f
t
h
e
a
s
h
-
f
l
o
w
t
u
f
f
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
c
a
l
d
e
r
a
c
o
m
p
l
e
x
b
y
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
1
9
8
6
,
1
9
8
9
;
F
l
o
o
d
,
1
9
8
7
;
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
a
,
1
9
8
9
b
;
R
o
s
e
,
1
9
8
8
;
M
i
l
l
s
a
n
d
R
o
s
e
(
1
9
8
6
)
;
M
i
l
l
s
,
e
t
a
1
.
(
1
9
8
7
)
a
n
d
M
i
l
l
s
a
n
d
V
o
g
e
l
(
1
9
8
8
)
h
a
v
e
a
l
s
o
c
o
n
c
e
n
t
r
a
t
e
d
o
n
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
i
n
s
t
e
a
d
o
f
w
h
o
l
e
—
r
o
c
k
t
u
f
f
w
i
t
h
t
h
e
1
5
1
6
e
x
c
e
p
t
i
o
n
t
h
a
t
t
h
e
i
r
s
a
m
p
l
i
n
g
t
e
c
h
n
i
q
u
e
s
h
a
v
e
b
e
e
n
d
e
s
i
g
n
e
d
t
o
e
n
s
u
r
e
t
h
o
r
o
u
g
h
s
a
m
p
l
i
n
g
a
n
d
a
m
i
n
i
m
i
z
a
t
i
o
n
o
f
s
a
m
p
l
e
b
i
a
s
.
T
h
e
m
o
t
i
v
a
t
i
o
n
f
o
r
u
s
i
n
g
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
l
i
e
s
i
n
t
h
e
v
e
r
y
n
a
t
u
r
e
o
f
t
h
e
o
r
i
g
i
n
o
f
a
s
h
-
f
l
o
w
t
u
f
f
s
a
n
d
i
s
a
t
e
c
h
n
i
q
u
e
t
h
a
t
h
a
s
b
e
e
n
u
s
e
d
b
y
s
e
v
e
r
a
l
o
t
h
e
r
w
o
r
k
e
r
s
i
n
t
h
e
p
a
s
t
(
e
.
g
.
L
i
p
m
a
n
,
1
9
6
7
,
1
9
7
1
;
W
a
l
k
e
r
,
1
9
7
2
;
W
o
l
f
f
,
1
9
8
5
;
H
i
l
d
r
e
t
h
a
n
d
M
a
h
o
o
d
,
1
9
8
5
)
.
A
s
h
-
f
l
o
w
t
u
f
f
s
h
a
v
e
f
o
u
r
b
a
s
i
c
c
o
m
p
o
n
e
n
t
s
:
1
)
g
l
a
s
s
y
o
r
d
e
v
i
t
r
i
f
i
e
d
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
a
n
d
/
o
r
f
i
a
m
m
e
,
2
)
a
f
i
n
e
g
r
a
i
n
e
d
a
s
h
y
m
a
t
r
i
x
c
o
m
p
o
s
e
d
o
f
g
l
a
s
s
s
h
a
r
d
s
,
3
)
p
h
e
n
o
c
r
y
s
t
s
r
e
l
e
a
s
e
d
f
r
o
m
t
h
e
e
v
i
s
c
e
r
a
t
e
d
a
n
d
c
r
u
s
h
e
d
p
u
m
i
c
e
d
u
r
i
n
g
e
r
u
p
t
i
o
n
,
a
n
d
,
t
h
o
s
e
s
t
i
l
l
c
o
n
t
a
i
n
e
d
w
i
t
h
i
n
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
,
a
n
d
4
)
a
w
i
d
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
o
f
x
e
n
o
l
i
t
h
i
c
f
r
a
g
m
e
n
t
s
d
e
r
i
v
e
d
f
r
o
m
t
h
e
v
e
n
t
w
a
l
l
s
,
a
n
d
,
f
r
o
m
s
u
r
f
a
c
e
m
a
t
e
r
i
a
l
e
n
t
r
a
i
n
e
d
b
y
t
h
e
a
s
h
-
f
l
o
w
d
u
r
i
n
g
e
m
p
l
a
c
e
m
e
n
t
.
R
e
c
o
n
s
t
r
u
c
t
i
o
n
o
f
t
h
e
p
a
r
e
n
t
a
l
m
a
g
m
a
c
h
e
m
i
s
t
r
y
,
a
s
s
u
m
i
n
g
a
s
i
m
p
l
e
c
a
s
e
o
f
a
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
o
m
o
g
e
n
e
o
u
s
p
a
r
e
n
t
m
a
g
m
a
,
c
a
n
b
e
c
o
m
p
l
i
c
a
t
e
d
b
y
p
h
e
n
o
c
r
y
s
t
e
l
u
t
r
i
a
t
i
o
n
d
u
r
i
n
g
t
r
a
n
s
p
o
r
t
a
n
d
x
e
n
o
l
i
t
h
i
c
c
o
n
t
a
m
i
n
a
t
i
o
n
(
W
a
l
k
e
r
,
1
9
7
2
;
W
o
l
f
f
,
1
9
8
5
)
.
A
s
i
s
t
h
e
c
a
s
e
f
o
r
m
o
s
t
l
a
r
g
e
v
o
l
u
m
e
a
s
h
-
f
l
o
w
t
u
f
f
s
h
o
w
e
v
e
r
,
t
h
e
p
a
r
e
n
t
a
l
m
a
g
m
a
m
a
y
h
a
v
e
u
p
t
o
s
e
v
e
r
a
l
d
i
s
c
r
e
t
e
c
o
m
p
o
s
i
t
i
o
n
s
w
h
i
c
h
m
a
y
b
e
c
o
e
v
a
l
l
y
e
r
u
p
t
e
d
(
e
.
g
.
L
i
p
m
a
n
,
e
t
a
l
.
,
1
9
6
6
;
L
i
p
m
a
n
,
1
9
6
7
;
H
i
l
d
r
e
t
h
,
1
9
8
3
;
W
o
l
f
f
a
n
d
S
t
o
r
e
y
,
1
9
8
4
,
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
1
9
8
6
)
.
G
e
o
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
A
]
1
7
r
e
c
o
n
s
t
r
u
c
t
i
o
n
o
f
t
h
e
o
r
i
g
i
n
a
l
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
b
a
s
e
d
u
p
o
n
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
m
p
l
e
s
i
n
t
h
i
s
c
a
s
e
i
s
v
e
r
y
d
i
f
f
i
c
u
l
t
,
e
v
e
n
w
i
t
h
d
e
t
a
i
l
e
d
,
i
n
d
i
v
i
d
u
a
l
g
l
a
s
s
s
h
a
r
d
a
n
a
l
y
s
e
s
b
y
a
n
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
.
I
t
m
u
s
t
b
e
r
e
c
o
g
n
i
z
e
d
t
h
e
n
t
h
a
t
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
n
a
l
y
s
e
s
o
f
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
m
p
l
e
s
r
e
p
r
e
s
e
n
t
a
m
i
x
t
u
r
e
o
f
t
h
e
a
b
o
v
e
m
e
n
t
i
o
n
e
d
c
o
m
p
o
n
e
n
t
s
.
I
n
d
i
v
i
d
u
a
l
s
h
a
r
d
a
n
a
l
y
s
e
s
i
n
a
w
h
o
l
e
-
r
o
c
k
s
a
m
p
l
e
w
i
l
l
p
r
o
v
i
d
e
m
g
l
g
c
o
m
p
o
s
i
t
i
o
n
s
,
b
u
t
m
g
g
m
g
c
o
m
p
o
s
i
t
i
o
n
s
m
u
s
t
i
n
c
l
u
d
e
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
p
r
e
s
e
n
t
w
i
t
h
i
n
t
h
a
t
p
a
r
t
i
c
u
l
a
r
s
y
s
t
e
m
,
a
p
r
o
b
l
e
m
w
e
f
e
e
l
b
e
s
t
s
o
l
v
e
d
b
y
e
x
a
m
i
n
i
n
g
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
I
n
a
n
a
t
t
e
m
p
t
t
o
c
i
r
c
u
m
v
e
n
t
s
o
m
e
o
f
t
h
e
p
r
o
b
l
e
m
s
o
u
t
l
i
n
e
d
a
b
o
v
e
,
t
h
i
s
s
t
u
d
y
c
o
n
c
e
n
t
r
a
t
e
s
o
n
t
h
e
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
o
u
n
d
i
n
t
h
e
u
n
w
e
l
d
e
d
t
o
p
a
r
t
i
a
l
l
y
w
e
l
d
e
d
z
o
n
e
s
a
n
d
f
i
a
m
m
e
l
o
c
a
t
e
d
i
n
t
h
e
v
i
t
r
o
p
h
y
r
e
s
o
f
t
h
e
i
n
d
i
v
i
d
u
a
l
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
T
h
e
s
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
m
o
s
t
n
e
a
r
l
y
r
e
p
r
e
s
e
n
t
t
h
e
o
r
i
g
i
n
a
l
p
r
e
-
e
r
u
p
t
i
v
e
m
a
g
m
a
t
i
c
g
e
o
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
c
o
m
p
o
s
i
t
i
o
n
s
(
c
f
.
W
o
l
f
f
,
1
9
8
5
)
.
S
e
c
o
n
d
a
r
y
a
l
t
e
r
a
t
i
o
n
o
f
t
h
e
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
d
o
e
s
o
c
c
u
r
a
s
g
r
o
u
n
d
w
a
t
e
r
p
a
s
s
e
s
t
h
r
o
u
g
h
t
h
e
p
o
r
o
u
s
u
n
w
e
l
d
e
d
t
o
p
a
r
t
i
a
l
l
y
w
e
l
d
e
d
z
o
n
e
s
i
n
t
h
e
a
s
h
-
f
l
o
w
t
u
f
f
.
T
h
e
a
l
t
e
r
a
t
i
o
n
a
p
p
e
a
r
s
t
o
m
o
s
t
d
i
r
e
c
t
l
y
a
f
f
e
c
t
t
h
e
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
h
e
a
l
k
a
l
i
s
a
n
d
f
e
r
r
o
u
s
i
r
o
n
(
A
r
a
m
a
k
i
a
n
d
L
i
p
m
a
n
,
1
9
6
5
;
L
i
p
m
a
n
,
1
9
6
5
;
N
o
b
l
e
,
1
9
6
5
,
1
9
6
7
)
.
T
h
i
s
e
f
f
e
c
t
a
p
p
e
a
r
s
t
o
b
e
m
i
n
o
r
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
a
s
d
o
c
u
m
e
n
t
e
d
b
y
t
h
e
s
m
a
l
l
a
m
o
u
n
t
1
8
o
f
s
c
a
t
t
e
r
o
n
g
e
o
c
h
e
m
i
c
a
l
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
.
P
h
e
n
o
c
r
y
s
t
s
w
i
t
h
i
n
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
d
o
n
o
t
a
p
p
e
a
r
t
o
b
e
a
l
t
e
r
e
d
i
n
a
n
y
f
a
s
h
i
o
n
.
P
u
m
i
c
e
f
r
a
g
m
e
n
t
s
o
f
a
c
o
m
m
i
n
g
l
e
d
n
a
t
u
r
e
e
x
i
s
t
w
i
t
h
i
n
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
T
h
e
t
e
r
m
c
o
m
m
i
n
g
l
i
n
g
w
i
l
l
b
e
u
s
e
d
i
n
t
h
i
s
s
t
u
d
y
a
s
d
e
f
i
n
e
d
b
y
B
a
c
o
n
(
1
9
8
6
)
,
"
.
.
.
(
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
)
b
a
n
d
e
d
o
r
i
n
c
l
u
s
i
o
n
-
b
e
a
r
i
n
g
m
a
g
m
a
s
.
.
.
"
.
C
o
m
m
i
n
g
l
i
n
g
m
a
y
o
c
c
u
r
b
y
s
e
v
e
r
a
l
m
e
t
h
o
d
s
w
h
i
c
h
i
n
c
l
u
d
e
b
u
t
a
r
e
n
o
t
l
i
m
i
t
e
d
t
o
;
c
o
m
m
i
n
g
l
i
n
g
f
r
o
m
t
h
e
i
n
j
e
c
t
i
o
n
o
f
n
e
w
m
a
g
m
a
i
n
t
o
t
h
e
c
h
a
m
b
e
r
,
c
o
m
m
i
n
g
l
i
n
g
d
e
e
p
w
i
t
h
i
n
t
h
e
c
h
a
m
b
e
r
a
s
t
h
e
m
a
g
m
a
(
s
)
a
r
e
b
r
o
u
g
h
t
t
o
t
h
e
v
e
n
t
d
u
r
i
n
g
e
r
u
p
t
i
o
n
,
o
r
,
c
o
m
m
i
n
g
l
i
n
g
d
i
r
e
c
t
l
y
w
i
t
h
i
n
t
h
e
v
e
n
t
a
s
t
h
e
d
i
f
f
e
r
e
n
t
m
a
g
m
a
t
y
p
e
s
a
r
e
f
o
r
c
e
d
t
h
r
o
u
g
h
t
h
e
c
o
n
d
u
i
t
.
P
u
m
i
c
e
f
r
a
g
m
e
n
t
s
t
h
a
t
o
r
i
g
i
n
a
t
e
b
y
c
o
m
m
i
n
g
l
i
n
g
a
r
e
o
f
t
e
n
r
e
c
o
g
n
i
z
e
d
b
y
t
h
e
i
r
d
i
s
t
i
n
c
t
c
o
l
o
r
a
n
d
t
e
x
t
u
r
a
l
b
a
n
d
i
n
g
.
O
f
a
m
o
r
e
s
u
b
t
l
e
c
o
m
p
l
e
x
i
t
y
a
r
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
t
h
a
t
r
e
p
r
e
s
e
n
t
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
m
i
x
e
d
m
a
g
m
a
s
a
s
d
e
f
i
n
e
d
b
y
B
a
c
o
n
(
1
9
8
6
)
,
"
.
.
.
(
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
)
h
o
m
o
g
e
n
e
o
u
s
h
y
b
r
i
d
m
a
g
m
a
s
.
.
.
"
.
I
n
t
h
i
s
c
a
s
e
,
t
w
o
o
r
m
o
r
e
m
a
g
m
a
t
y
p
e
s
h
a
v
e
b
e
e
n
s
o
t
h
o
r
o
u
g
h
l
y
m
i
x
e
d
i
n
t
h
e
c
h
a
m
b
e
r
t
h
a
t
a
n
e
w
,
c
h
e
m
i
c
a
l
l
y
h
o
m
o
g
e
n
e
o
u
s
m
a
g
m
a
i
s
c
r
e
a
t
e
d
.
P
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
o
r
m
e
d
b
y
m
i
x
i
n
g
w
e
r
e
i
d
e
n
t
i
f
i
e
d
i
n
t
h
i
s
s
t
u
d
y
b
y
t
h
e
p
r
e
s
e
n
c
e
o
f
d
i
s
e
q
u
i
l
i
b
r
i
u
m
p
h
e
n
o
c
r
y
s
t
s
.
M
a
g
m
a
m
i
x
i
n
g
r
e
s
u
l
t
s
i
n
b
i
m
o
d
a
l
t
o
p
o
l
y
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
s
o
f
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
i
n
a
p
a
r
t
i
c
u
l
a
r
s
a
m
p
l
e
.
I
f
e
n
o
u
g
h
t
i
m
e
e
l
a
p
s
e
s
a
f
t
e
r
m
i
x
i
n
g
h
o
w
e
v
e
r
,
t
h
e
p
h
e
n
o
c
r
y
s
t
.

3

Q

v

A

»

Q

!

a

s

I

‘

l

‘

r

t

.

«

fl

u

C
w
1
9
p
o
p
u
l
a
t
i
o
n
s
w
i
l
l
r
e
e
q
u
i
l
i
b
r
a
t
e
t
o
t
h
e
n
e
w
p
h
y
s
i
c
a
l
a
n
d
c
h
e
m
i
c
a
l
c
o
n
d
i
t
i
o
n
s
a
n
d
a
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
l
y
d
i
s
t
i
n
c
t
m
a
g
m
a
w
i
l
l
b
e
f
o
r
m
e
d
w
h
i
c
h
w
i
l
l
l
a
c
k
p
o
l
y
m
o
d
a
l
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
.
A
n
e
x
c
e
l
l
e
n
t
e
x
a
m
p
l
e
o
f
t
h
i
s
p
r
o
c
e
s
s
h
a
s
b
e
e
n
s
h
o
w
n
t
o
h
a
v
e
o
c
c
u
r
r
e
d
i
n
t
h
e
P
a
h
C
a
n
y
o
n
M
e
m
b
e
r
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
(
F
l
o
o
d
,
1
9
8
7
;
F
l
o
o
d
e
t
a
l
.
,
1
9
8
9
b
)
.
C
o
m
p
l
i
c
a
t
i
o
n
s
a
r
i
s
i
n
g
f
r
o
m
c
o
m
m
i
n
g
l
i
n
g
o
f
m
a
g
m
a
t
y
p
e
s
d
u
r
i
n
g
e
r
u
p
t
i
o
n
a
r
e
a
v
o
i
d
e
d
b
y
o
m
i
t
t
i
n
g
s
a
m
p
l
e
s
w
i
t
h
m
a
c
r
o
s
c
o
p
i
c
t
o
m
i
c
r
o
s
c
o
p
i
c
b
a
n
d
i
n
g
(
b
a
s
e
d
o
n
c
o
l
o
r
,
t
e
x
t
u
r
e
,
a
n
d
m
i
n
e
r
a
l
o
g
y
)
(
c
f
.
W
i
l
l
i
a
m
s
,
1
9
4
2
;
B
a
c
o
n
,
1
9
8
3
)
a
n
d
t
h
o
s
e
c
o
n
t
a
i
n
i
n
g
d
i
s
e
q
u
i
l
i
b
r
i
u
m
p
h
e
n
o
c
r
y
s
t
a
s
s
e
m
b
l
a
g
e
s
i
d
e
n
t
i
f
i
e
d
o
n
t
h
e
b
a
s
i
s
o
f
o
p
t
i
c
a
l
a
n
d
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
.
T
h
e
s
t
u
d
y
o
f
p
h
e
n
o
c
r
y
s
t
s
i
n
w
h
o
l
e
-
r
o
c
k
o
r
b
u
l
k
s
a
m
p
l
e
s
o
f
a
s
h
-
f
l
o
w
t
u
f
f
s
h
o
w
e
v
e
r
c
a
n
b
e
e
n
c
u
m
b
e
r
e
d
b
y
s
e
v
e
r
a
l
f
a
c
t
o
r
s
:
1
)
m
a
g
m
a
f
r
a
g
m
e
n
t
a
t
i
o
n
p
r
o
c
e
s
s
e
s
w
h
i
c
h
c
a
u
s
e
p
r
e
f
e
r
e
n
t
i
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
o
f
c
r
y
s
t
a
l
s
f
r
o
m
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
,
a
n
d
,
c
a
n
e
n
r
i
c
h
b
u
l
k
s
a
m
p
l
e
s
o
f
t
h
e
i
g
n
i
m
b
r
i
t
e
i
n
p
h
e
n
o
c
r
y
s
t
s
(
W
o
l
f
f
,
1
9
8
5
)
,
2
)
a
t
m
o
s
p
h
e
r
i
c
w
i
n
n
o
w
i
n
g
o
f
f
i
n
e
a
s
h
d
u
r
i
n
g
t
r
a
n
s
p
o
r
t
o
f
t
h
e
a
s
h
-
f
l
o
w
w
h
i
c
h
a
g
a
i
n
r
e
s
u
l
t
s
i
n
t
h
e
e
n
h
a
n
c
e
m
e
n
t
o
f
p
h
e
n
o
c
r
y
s
t
s
w
i
t
h
i
n
t
h
e
d
e
p
o
s
i
t
(
H
a
y
,
1
9
5
9
;
L
i
p
m
a
n
,
1
9
6
7
;
W
a
l
k
e
r
,
1
9
7
2
;
S
p
a
r
k
s
a
n
d
W
a
l
k
e
r
,
1
9
7
7
)
,
3
)
i
n
c
l
u
s
i
o
n
o
f
x
e
n
o
c
r
y
s
t
s
a
n
d
x
e
n
o
l
i
t
h
s
o
f
c
o
u
n
t
r
y
r
o
c
k
a
b
r
a
d
e
d
f
r
o
m
v
e
n
t
w
a
l
l
s
,
a
n
d
,
i
n
c
o
r
p
o
r
a
t
i
o
n
o
f
s
u
r
f
a
c
e
m
a
t
e
r
i
a
l
d
u
r
i
n
g
p
a
s
s
a
g
e
o
f
t
h
e
a
s
h
-
f
l
o
w
(
W
a
l
k
e
r
,
1
9
7
2
)
,
a
n
d
4
)
t
h
e
c
o
m
b
i
n
i
n
g
o
f
2
0
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
d
u
r
i
n
g
t
r
a
n
s
p
o
r
t
o
f
t
h
e
a
s
h
-
f
l
o
w
f
r
o
m
c
o
e
v
a
l
l
y
e
r
u
p
t
e
d
,
c
h
e
m
i
c
a
l
l
y
d
i
s
c
r
e
t
e
m
a
g
m
a
t
y
p
e
s
.
I
n
a
d
d
i
t
i
o
n
t
o
p
r
o
b
l
e
m
s
w
i
t
h
w
h
o
l
e
-
r
o
c
k
s
a
m
p
l
e
s
,
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
n
a
l
y
s
e
s
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
i
t
h
i
n
p
y
r
o
c
l
a
s
t
i
c
f
l
o
w
d
e
p
o
s
i
t
s
m
u
s
t
a
l
s
o
b
e
p
e
r
f
o
r
m
e
d
w
i
t
h
c
a
u
t
i
o
n
.
A
s
s
h
o
w
n
b
y
W
o
l
f
f
(
1
9
8
5
)
,
c
o
n
s
i
d
e
r
a
t
i
o
n
o
f
s
a
m
p
l
e
s
i
z
e
i
s
c
r
i
t
i
c
a
l
t
o
m
i
n
i
m
i
z
i
n
g
t
h
e
e
f
f
e
c
t
s
o
f
m
a
g
m
a
f
r
a
g
m
e
n
t
a
t
i
o
n
(
p
r
e
f
e
r
e
n
t
i
a
l
l
o
s
s
o
f
p
h
e
n
o
c
r
y
s
t
s
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
d
u
r
i
n
g
e
r
u
p
t
i
o
n
a
n
d
t
r
a
n
s
p
o
r
t
)
a
n
d
p
h
e
n
o
c
r
y
s
t
c
o
n
t
r
o
l
o
f
b
u
l
k
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
h
e
m
i
s
t
r
y
d
u
e
t
o
h
i
g
h
c
r
y
s
t
a
l
/
g
l
a
s
s
r
a
t
i
o
s
.
F
o
r
m
i
n
e
r
a
l
o
g
i
c
a
n
a
l
y
s
e
s
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
s
h
o
u
l
d
b
e
u
s
e
d
i
f
p
o
s
s
i
b
l
e
w
h
e
n
t
r
y
i
n
g
t
o
r
e
c
o
n
s
t
r
u
c
t
o
r
i
g
i
n
a
l
m
a
g
m
a
t
i
c
p
h
e
n
o
c
r
y
s
t
a
s
s
e
m
b
l
a
g
e
s
a
s
w
h
o
l
e
r
o
c
k
s
a
m
p
l
e
s
m
a
y
s
u
f
f
e
r
o
n
e
o
r
m
o
r
e
o
f
t
h
e
m
a
n
y
e
f
f
e
c
t
s
n
o
t
e
d
a
b
o
v
e
(
L
i
p
m
a
n
,
1
9
6
7
;
S
p
a
r
k
s
a
n
d
W
a
l
k
e
r
,
1
9
7
7
;
W
o
l
f
f
,
1
9
8
5
)
.
T
h
u
s
a
t
t
e
m
p
t
s
t
o
c
o
r
r
e
l
a
t
e
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
m
p
l
e
s
w
i
t
h
o
r
i
g
i
n
a
l
m
a
g
m
a
t
i
c
g
e
o
c
h
e
m
i
c
a
l
a
n
d
/
o
r
m
i
n
e
r
a
l
o
g
i
c
c
o
m
p
o
s
i
t
i
o
n
s
m
a
y
l
e
a
d
t
o
e
r
r
o
n
e
o
u
s
r
e
s
u
l
t
s
i
f
c
a
u
t
i
o
n
i
s
n
o
t
u
s
e
d
.
I
n
m
a
n
y
a
s
h
-
f
l
o
w
t
u
f
f
s
h
o
w
e
v
e
r
,
t
h
e
c
o
l
l
e
c
t
i
o
n
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
m
a
y
b
e
i
m
p
o
s
s
i
b
l
e
d
u
e
t
o
t
h
e
p
a
u
c
i
t
y
a
n
d
/
o
r
d
e
v
i
t
r
i
f
i
c
a
t
i
o
n
o
f
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
i
t
h
i
n
t
h
e
t
u
f
f
.
I
n
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
h
o
w
e
v
e
r
,
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
e
r
e
u
b
i
q
u
i
t
o
u
s
.
E
v
e
r
y
a
t
t
e
m
p
t
w
a
s
m
a
d
e
d
u
r
i
n
g
t
h
i
s
s
t
u
d
y
t
o
s
e
l
e
c
t
l
a
r
g
e
e
n
o
u
g
h
s
a
m
p
l
e
s
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
s
o
a
s
t
o
m
i
n
i
m
i
z
e
s
i
z
e
b
i
a
s
.
C
o
l
l
e
c
t
i
o
n
o
f
g
l
a
s
s
y
p
u
m
i
c
e
2
1
f
r
a
g
m
e
n
t
s
f
r
o
m
o
n
l
y
t
h
e
u
n
w
e
l
d
e
d
b
a
s
a
l
z
o
n
e
,
v
i
t
r
o
p
h
y
r
i
c
z
o
n
e
a
n
d
u
n
w
e
l
d
e
d
t
o
p
o
f
t
h
e
a
s
h
-
f
l
o
w
s
h
e
e
t
w
o
u
l
d
i
n
i
t
i
a
l
l
y
s
e
e
m
t
o
b
e
a
p
o
t
e
n
t
i
a
l
s
o
u
r
c
e
o
f
s
a
m
p
l
e
b
i
a
s
.
H
o
w
e
v
e
r
,
a
s
s
h
o
w
n
b
y
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
(
1
9
8
9
)
,
a
s
l
o
n
g
a
s
t
h
e
u
p
p
e
r
,
p
o
o
r
l
y
t
o
n
o
n
-
w
e
l
d
e
d
z
o
n
e
o
f
t
h
e
a
s
h
-
f
l
o
w
s
h
e
e
t
i
s
c
o
l
l
e
c
t
e
d
,
t
h
e
f
u
l
l
r
a
n
g
e
o
f
p
u
m
i
c
e
c
o
m
p
o
s
i
t
i
o
n
s
p
r
e
s
e
n
t
w
i
t
h
i
n
t
h
e
i
n
t
e
r
i
o
r
o
f
t
h
e
s
h
e
e
t
w
i
l
l
m
o
s
t
l
i
k
e
l
y
b
e
r
e
p
r
e
s
e
n
t
e
d
a
t
t
h
e
t
o
p
o
f
t
h
e
s
h
e
e
t
.
T
h
i
s
h
a
s
a
l
s
o
b
e
e
n
v
e
r
i
f
i
e
d
b
y
d
a
t
a
c
o
l
l
e
c
t
e
d
b
y
R
o
s
e
(
1
9
8
8
)
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S
e
c
t
i
o
n
#
5
o
f
R
o
s
e
(
1
9
8
8
)
w
a
s
c
o
l
l
e
c
t
e
d
i
n
a
3
5
m
e
t
e
r
t
h
i
c
k
,
c
o
m
p
l
e
t
e
l
y
u
n
w
e
l
d
e
d
s
e
c
t
i
o
n
o
f
t
u
f
f
f
r
o
m
b
a
s
e
t
o
t
o
p
i
n
a
p
p
r
o
x
i
m
a
t
e
l
y
3
m
e
t
e
r
i
n
t
e
r
v
a
l
s
.
P
u
m
i
c
e
f
r
a
g
m
e
n
t
s
c
o
l
l
e
c
t
e
d
a
t
t
h
e
t
o
p
o
f
t
h
i
s
s
e
c
t
i
o
n
w
e
r
e
r
e
p
r
e
s
e
n
t
a
t
i
v
e
o
f
a
l
l
c
o
m
p
o
s
i
t
i
o
n
s
p
r
e
s
e
n
t
b
e
l
o
w
t
h
i
s
r
e
g
i
o
n
(
F
i
g
.
3
)
.
S
i
t
e
S
e
l
e
c
t
i
o
n
a
n
d
S
a
m
p
l
i
n
g
T
e
c
h
n
i
q
u
e
P
o
t
e
n
t
i
a
l
c
o
l
l
e
c
t
i
n
g
l
o
c
a
l
i
t
i
e
s
w
e
r
e
i
d
e
n
t
i
f
i
e
d
f
r
o
m
U
S
G
S
g
e
o
l
o
g
i
c
t
o
p
o
g
r
a
p
h
i
c
m
a
p
s
(
s
e
e
B
y
e
r
s
e
t
a
l
.
,
1
9
7
6
a
f
o
r
a
m
a
p
i
n
d
e
x
)
.
T
h
e
s
e
l
e
c
t
i
o
n
o
f
o
u
t
c
r
o
p
s
t
o
b
e
s
a
m
p
l
e
d
w
a
s
b
a
s
e
d
o
n
s
t
r
a
t
i
g
r
a
p
h
i
c
c
o
n
t
r
o
l
o
f
t
h
e
u
n
d
e
r
l
y
i
n
g
a
n
d
o
v
e
r
l
y
i
n
g
u
n
i
t
s
,
d
e
g
r
e
e
o
f
e
x
p
o
s
u
r
e
,
a
b
s
e
n
c
e
o
f
h
y
d
r
o
t
h
e
r
m
a
l
a
l
t
e
r
a
t
i
o
n
,
a
n
d
t
h
e
p
r
e
s
e
n
c
e
o
f
a
n
u
n
w
e
l
d
e
d
b
a
s
e
a
n
d
/
o
r
t
o
p
a
t
t
h
e
e
x
p
o
s
e
d
s
e
c
t
i
o
n
.
P
a
r
t
i
a
l
l
y
e
x
p
o
s
e
d
o
r
e
r
o
d
e
d
u
n
i
t
s
(
w
h
e
r
e
o
n
l
y
u
n
w
e
l
d
e
d
b
a
s
e
s
o
r
t
o
p
s
w
e
r
e
p
r
e
s
e
n
t
)
w
e
r
e
c
o
l
l
e
c
t
e
d
o
n
l
y
w
h
e
n
n
e
a
r
b
y
e
x
p
o
s
u
r
e
s
t
h
a
t
3
0
l
r
I
l
E
*
—
3
5
0
r
-
-
#
4
L
L
I
I
I
I
C
.
)
E
N
T
I
R
E
S
E
C
T
I
O
N
U
N
W
E
L
D
E
D
H
4
0
-
-
I
I
I
C
;
I
I
I
m
m
m
m
a
:
m
[
m
m
m
(
I
)
H
2
0
L
-
'
.
_
<
1
C
I
:
'
.
_
.
w
o
.
m
1
3
e
e
[
9
.
m
5
5
6
0
6
5
.
7
0
7
5
P
U
M
I
C
E
5
1
0
2
(
w
t
%
)
F
i
g
u
r
e
3
.
S
t
r
a
t
i
g
r
a
p
h
i
c
v
a
r
i
a
t
i
o
n
i
n
w
h
o
l
e
p
u
m
i
c
e
c
o
m
p
o
s
i
t
i
o
n
f
o
r
2
2
A
M
M
O
N
I
A
T
A
N
K
S
M
B
R
.
,
S
E
C
T
I
O
N
5
 
 
 
 
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
S
e
c
t
i
o
n
5
.
B
O
2
3
p
r
o
v
i
d
e
d
t
h
e
m
i
s
s
i
n
g
t
o
p
o
r
b
o
t
t
o
m
o
f
t
h
e
s
e
c
t
i
o
n
c
o
u
l
d
b
e
f
o
u
n
d
.
S
a
m
p
l
i
n
g
l
o
c
a
t
i
o
n
s
o
f
c
h
e
m
i
c
a
l
l
y
a
n
a
l
y
z
e
d
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
a
r
e
s
h
o
w
n
i
n
F
i
g
u
r
e
l
.
E
x
a
c
t
l
o
c
a
t
i
o
n
s
o
f
t
h
e
s
a
m
p
l
i
n
g
s
i
t
e
s
a
r
e
d
e
s
c
r
i
b
e
d
i
n
A
p
p
e
n
d
i
x
1
.
O
n
c
e
a
s
i
t
e
w
a
s
s
e
l
e
c
t
e
d
f
o
r
s
a
m
p
l
i
n
g
,
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
e
r
e
c
o
l
l
e
c
t
e
d
o
v
e
r
a
n
a
r
e
a
o
f
1
0
m
2
(
1
m
e
t
e
r
h
i
g
h
b
y
1
0
m
e
t
e
r
s
w
i
d
e
)
a
p
p
r
o
x
i
m
a
t
e
l
y
e
v
e
r
y
1
.
5
m
u
p
s
e
c
t
i
o
n
i
n
t
h
e
u
n
w
e
l
d
e
d
t
o
p
a
r
t
i
a
l
l
y
w
e
l
d
e
d
z
o
n
e
s
.
G
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
e
r
e
s
e
l
e
c
t
e
d
b
a
s
e
d
o
n
d
i
f
f
e
r
e
n
c
e
s
i
n
c
o
l
o
r
,
t
e
x
t
u
r
e
,
p
h
e
n
o
c
r
y
s
t
a
s
s
e
m
b
l
a
g
e
,
a
n
d
s
i
z
e
.
I
n
a
t
y
p
i
c
a
l
1
0
m
2
a
r
e
a
,
2
0
t
o
3
0
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
e
r
e
u
s
u
a
l
l
y
c
o
l
l
e
c
t
e
d
.
F
i
a
m
m
e
f
r
o
m
v
i
t
r
o
p
h
y
r
i
c
z
o
n
e
s
w
e
r
e
c
o
l
l
e
c
t
e
d
f
r
o
m
t
h
e
b
a
s
e
t
o
t
h
e
t
o
p
o
f
t
h
e
v
i
t
r
o
p
h
y
r
e
a
n
d
a
l
o
n
g
a
h
o
r
i
z
o
n
t
a
l
d
i
s
t
a
n
c
e
o
f
5
m
t
o
1
0
m
.
I
n
a
l
l
,
o
v
e
r
1
4
0
0
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
e
r
e
c
o
l
l
e
c
t
e
d
f
o
r
p
o
t
e
n
t
i
a
l
a
n
a
l
y
s
i
s
.
O
n
c
e
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
e
r
e
r
e
t
u
r
n
e
d
t
o
t
h
e
l
a
b
o
r
a
t
o
r
y
,
f
u
r
t
h
e
r
v
i
s
u
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
d
i
s
c
r
i
m
i
n
a
t
i
o
n
a
m
o
n
g
s
t
p
u
m
i
c
e
t
y
p
e
s
w
a
s
d
o
n
e
t
o
s
e
l
e
c
t
a
f
i
n
a
l
s
u
i
t
e
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
o
r
a
n
a
l
y
s
i
s
.
S
e
l
e
c
t
i
o
n
o
f
t
h
e
f
i
n
a
l
s
u
i
t
e
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
a
s
,
a
s
i
n
t
h
e
f
i
e
l
d
,
b
a
s
e
d
o
n
c
o
l
o
r
,
t
e
x
t
u
r
e
,
p
h
e
n
o
c
r
y
s
t
a
s
s
e
m
b
l
a
g
e
a
n
d
s
i
z
e
.
A
n
i
n
i
t
i
a
l
a
t
t
e
m
p
t
w
a
s
m
a
d
e
t
o
s
a
m
p
l
e
s
e
c
t
i
o
n
s
f
r
o
m
;
1
)
c
a
l
d
e
r
a
f
i
l
l
a
n
d
o
u
t
f
l
o
w
f
a
c
i
e
s
,
2
)
s
e
c
t
i
o
n
s
r
e
p
r
e
s
e
n
t
i
n
g
p
r
o
x
i
m
a
l
t
o
d
i
s
t
a
l
o
u
t
f
l
o
w
f
a
c
i
e
s
,
a
n
d
3
)
s
e
c
t
i
o
n
s
c
i
r
c
u
m
s
c
r
i
b
i
n
g
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
.
T
h
i
s
p
r
o
c
e
d
u
r
e
p
r
o
v
e
d
f
u
t
i
l
e
f
o
r
s
e
v
e
r
a
l
r
e
a
s
o
n
s
;
f
i
r
s
t
,
2
4
o
u
t
f
l
o
w
s
h
e
e
t
s
o
u
t
c
r
o
p
p
i
n
g
i
n
t
h
e
s
o
u
t
h
w
e
s
t
e
r
n
t
o
w
e
s
t
e
r
n
a
r
e
a
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
a
r
e
m
i
l
d
l
y
t
o
p
e
r
v
a
s
i
v
e
l
y
h
y
d
r
o
t
h
e
r
m
a
l
l
y
a
l
t
e
r
e
d
.
T
h
i
s
a
l
t
e
r
a
t
i
o
n
i
s
p
a
r
t
o
f
t
h
e
B
u
l
l
f
r
o
g
H
i
l
l
s
a
l
t
e
r
a
t
i
o
n
a
n
d
m
i
n
e
r
a
l
i
z
a
t
i
o
n
e
v
e
n
t
(
R
a
n
s
o
m
e
,
e
t
a
l
.
,
1
9
1
0
;
C
o
r
n
w
a
l
l
a
n
d
K
l
e
i
n
h
a
m
p
l
,
1
9
6
4
)
.
S
e
c
o
n
d
,
t
h
e
c
a
l
d
e
r
a
f
i
l
l
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
c
o
m
p
l
e
t
e
l
y
b
u
r
i
e
d
b
y
t
h
e
y
o
u
n
g
e
r
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
n
d
i
s
o
n
l
y
e
x
p
o
s
e
d
i
n
s
m
a
l
l
a
m
o
u
n
t
s
o
f
d
r
i
l
l
c
o
r
e
f
r
o
m
U
S
G
S
d
r
i
l
l
h
o
l
e
U
E
1
8
r
l
o
c
a
t
e
d
i
n
t
h
e
n
o
r
t
h
e
r
n
p
o
r
t
i
o
n
o
f
t
h
e
c
a
l
d
e
r
a
(
s
e
e
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
b
f
o
r
t
h
e
d
r
i
l
l
h
o
l
e
l
o
c
a
t
i
o
n
)
.
T
h
i
r
d
,
c
o
m
p
l
e
t
e
s
t
r
a
t
i
g
r
a
p
h
i
c
s
e
c
t
i
o
n
s
o
f
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
a
l
d
e
r
a
f
i
l
l
f
a
c
i
e
s
a
r
e
r
a
r
e
l
y
p
r
e
s
e
n
t
d
u
e
t
o
s
t
r
u
c
t
u
r
a
l
d
i
s
a
g
r
e
g
a
t
i
o
n
d
u
r
i
n
g
c
a
l
d
e
r
a
r
e
s
u
r
g
e
n
c
e
a
n
d
c
o
m
p
l
e
t
e
d
e
v
i
t
r
i
f
i
c
a
t
i
o
n
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
T
h
e
s
e
t
w
o
f
a
c
t
o
r
s
m
a
d
e
p
u
m
i
c
e
i
d
e
n
t
i
f
i
c
a
t
i
o
n
a
n
d
r
e
m
o
v
a
l
e
x
t
r
e
m
e
l
y
d
i
f
f
i
c
u
l
t
o
n
t
h
e
r
e
s
u
r
g
e
n
t
d
o
m
e
.
F
i
n
a
l
l
y
,
p
o
o
r
e
x
p
o
s
u
r
e
a
n
d
i
n
c
o
m
p
l
e
t
e
s
e
c
t
i
o
n
s
i
n
t
h
e
e
a
s
t
-
s
o
u
t
h
e
a
s
t
a
n
d
s
o
u
t
h
e
r
n
o
u
t
f
l
o
w
r
e
g
i
o
n
s
s
u
r
r
o
u
n
d
i
n
g
t
h
e
c
a
l
d
e
r
a
d
i
d
n
o
t
a
l
l
o
w
f
o
r
s
a
t
i
s
f
a
c
t
o
r
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
l
l
e
c
t
i
o
n
.
T
h
u
s
,
t
h
e
m
a
j
o
r
i
t
y
o
f
s
a
m
p
l
e
d
s
e
c
t
i
o
n
s
a
r
e
l
o
c
a
t
e
d
t
o
t
h
e
n
o
r
t
h
a
n
d
n
o
r
t
h
e
a
s
t
o
f
t
h
e
c
a
l
d
e
r
a
(
F
i
g
.
1
)
.
G
E
O
C
H
E
M
I
S
T
R
!
I
n
t
r
o
d
u
c
t
i
o
n
T
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
a
n
u
s
u
a
l
l
y
b
e
d
i
s
t
i
n
g
u
i
s
h
e
d
f
r
o
m
o
n
e
a
n
o
t
h
e
r
o
n
t
h
e
b
a
s
i
s
o
f
s
e
l
e
c
t
e
d
t
r
a
c
e
e
l
e
m
e
n
t
s
a
n
d
t
h
e
p
r
e
s
e
n
c
e
o
r
a
b
s
e
n
c
e
o
f
s
p
h
e
n
e
.
M
a
j
o
r
-
e
l
e
m
e
n
t
g
e
o
c
h
e
m
i
c
a
l
d
i
s
c
r
i
m
i
n
a
t
i
o
n
b
e
t
w
e
e
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
h
o
w
e
v
e
r
i
s
d
i
f
f
i
c
u
l
t
.
T
h
e
t
w
o
m
e
m
b
e
r
s
a
r
e
g
e
n
e
r
a
l
l
y
d
i
s
t
i
n
g
u
i
s
h
a
b
l
e
o
n
l
y
o
n
t
h
e
b
a
s
i
s
o
f
C
a
O
v
s
.
8
1
0
2
f
o
r
c
o
m
p
o
s
i
t
i
o
n
s
m
o
r
e
m
a
f
i
c
t
h
a
n
7
5
w
t
%
5
1
0
2
(
F
i
g
.
4
)
.
T
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
f
o
r
t
h
e
t
w
o
m
e
m
b
e
r
s
h
o
w
e
v
e
r
,
a
r
e
d
i
s
t
i
n
c
t
i
v
e
e
n
o
u
g
h
t
h
a
t
o
n
s
o
m
e
i
n
t
e
r
-
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
,
f
o
r
e
x
a
m
p
l
e
N
b
v
s
.
8
1
0
2
(
F
i
g
.
5
a
)
a
n
d
N
b
v
s
.
R
b
(
F
i
g
.
5
b
)
,
t
h
e
t
w
o
u
n
i
t
s
c
a
n
b
e
s
e
p
a
r
a
t
e
l
y
i
d
e
n
t
i
f
i
e
d
i
n
m
o
s
t
i
n
s
t
a
n
c
e
s
.
T
h
e
r
e
i
s
h
o
w
e
v
e
r
,
s
o
m
e
p
r
o
b
l
e
m
w
i
t
h
d
a
t
a
o
v
e
r
l
a
p
(
F
i
g
s
.
5
a
,
b
)
.
P
r
e
v
i
o
u
s
w
o
r
k
e
r
s
r
e
l
i
e
d
p
r
i
m
a
r
i
l
y
o
n
t
h
e
p
r
e
s
e
n
c
e
o
r
a
b
s
e
n
c
e
o
f
s
p
h
e
n
e
t
o
p
e
t
r
o
g
r
a
p
h
i
c
a
l
l
y
d
i
s
c
r
i
m
i
n
a
t
e
b
e
t
w
e
e
n
t
h
e
t
w
o
a
s
h
-
f
l
o
w
t
u
f
f
s
.
T
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
d
e
v
o
i
d
o
f
s
p
h
e
n
e
w
h
i
l
e
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
o
n
t
a
i
n
s
a
s
i
g
n
i
f
i
c
a
n
t
p
e
r
c
e
n
t
a
g
e
o
f
s
p
h
e
n
e
(
1
0
-
2
0
g
r
a
i
n
s
p
e
r
s
t
a
n
d
a
r
d
—
s
i
z
e
t
h
i
n
s
e
c
t
i
o
n
,
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
)
.
T
h
e
T
o
t
a
l
A
l
k
a
l
i
-
S
i
l
i
c
a
(
T
A
S
)
c
l
a
s
s
i
f
i
c
a
t
i
o
n
s
y
s
t
e
m
o
f
L
e
B
a
s
,
e
t
a
l
.
,
(
1
9
8
6
)
i
s
u
s
e
d
i
n
t
h
i
s
s
t
u
d
y
t
o
c
l
a
s
s
i
f
y
t
h
e
p
u
m
i
c
e
s
a
m
p
l
e
c
o
m
p
o
s
i
t
i
o
n
s
(
F
i
g
.
6
)
.
F
r
o
m
t
h
e
T
A
S
d
i
a
g
r
a
m
i
t
c
a
n
b
e
o
b
s
e
r
v
e
d
t
h
a
t
t
h
e
p
u
m
i
c
e
2
5
.

.

R

R

B

B

M

M

S

A

K

S

N

E

A

M

T

R

A

E

I

I

N

N

O

I

M

A

M

R

A

)

—

C

4

I

s

k

n

a

T

a

i

n

o

m

m

A

d

n

a

r

e

b

m

e

M

a

s

e

M

0

3

d

§

\

r

'

e

i

n

\

i

i

l

5

a

<

7

R

@

e

\

\

h

+

A

3

\

t

r

o

p

f

)

u

%

o

1

r

O

m

t

7

w

a

r

G

g

(

a

i

d

n

o

i

t

2

I

5

0

5

a

1

n

i

8

m

I

0

5

‘

H

5

5

)

(

i

r

c

s

i

d

O

a

C

s

u

s

r

e

.

v

r

e

O

m

i

e

S

M

.

4

e

r

u

g

i

F

 
(
9
4
w
)
O
9
3
 
 
 
 
2
6
2
7
 
 
 
 
 
 
 
 
 
I
\
4
0
.
,
,
,
+
(
9
R
A
I
N
I
E
R
M
E
S
A
n
a
n
.
+
1
-
A
M
M
O
N
I
A
T
A
N
K
S
H
E
R
.
G
3
A
*
P
O
U
D
\
+
+
+
+
+
G
r
o
u
p
4
R
(
m
3
0
F
G
r
o
u
p
2
A
+
-
\
+
+
+
+
E
G
r
o
u
p
1
A
1
*
c
1
\
+
o
B
2
0
~
+
+
+
o
0
o
‘
+
o
.
D
G
r
o
u
p
\
i
F
l
+
a
G
P
0
a
)
(
:
1
,
Z
+
0
+
0
0
3
)
0
0
0
0
0
0
Q
0
0
@
+
0
0
0
0
1
0
-
0
’
o
‘
G
r
o
u
p
E
R
1
+
G
r
o
u
p
B
R
0
I
I
I
I
5
5
6
0
6
5
7
0
7
5
8
0
8
1
0
2
(
w
t
%
)
E
3
5
0
.
.
.
T
.
o
R
A
I
N
I
E
R
M
E
S
A
I
6
8
.
+
~
A
H
N
N
L
A
T
M
K
S
I
B
R
.
4
0
I
-
+
+
"
l
-
H
'
+
+
t
;
E
3
0
i
’
+
F
r
i
-
(
D
0
0
8
o
-
Q
T
+
O
O
a
,
+
+
+
+
o
$
9
v
1
;
1
0
0
+
o
g
2
0
r
T
{
b
+
0
0
0
"
+
o
0
4
»
+
3
9
9
0
0
Q
”
0
9
o
o
1
0
-
®
0
%
o
n
“
’
0
.
0
I
I
I
L
I
5
0
1
0
0
1
5
0
2
0
0
2
5
0
3
0
0
3
5
0
R
6
(
p
p
m
)
F
i
g
u
r
e
5
.
A
)
S
i
0
v
e
r
s
u
s
N
b
d
i
s
c
r
i
m
i
n
a
t
i
o
n
d
i
a
g
r
a
m
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
g
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
B
)
R
b
v
e
r
s
u
s
N
b
d
i
s
c
r
i
m
i
n
a
t
i
o
n
d
i
a
g
r
a
m
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
2
8
 
 
 
 
 
 
 
 
 
 
1
5
I
I
I
5
"
(
A
f
t
e
r
L
e
B
a
s
,
e
t
a
l
.
.
1
9
8
6
)
-
—
‘
1
4
"
P
h
o
n
o
l
i
t
e
‘
1
_
T
r
a
c
h
y
t
e
R
h
y
o
l
i
t
e
.
-
A
T
e
p
h
r
i
-
:
3
1
2
"
F
o
i
d
i
t
e
p
h
o
n
o
l
i
t
e
+
T
E
.
T
+
.
1
.
I
1
0
—
P
h
o
n
o
-
4
'
+
+
—
t
e
p
h
r
i
t
e
t
h
_
+
4
4
0
9
0
+
0
0
.
_
r
a
c
y
+
O
0
8
*
—
¥
~
8
_
a
n
d
e
s
i
t
e
T
r
a
c
h
y
-
_
T
e
p
h
r
i
t
e
B
a
s
a
I
t
I
c
G
o
o
0
°
C
“
:
0
+
_
B
a
s
a
n
i
t
e
"
W
‘
Y
‘
0
'
—
D
N
6
_
T
r
a
c
h
y
e
n
d
e
s
l
t
e
D
a
c
i
t
e
-
1
b
a
s
a
l
t
'
g
_
_
A
n
d
e
s
u
e
_
4
”
B
a
s
a
l
t
B
a
s
a
l
?
"
+
A
M
M
O
N
I
A
T
A
N
K
S
M
B
R
‘
.
.
a
n
d
e
S
I
t
e
_
P
i
c
r
o
-
2
c
B
a
s
a
l
t
o
R
A
I
N
I
E
R
M
E
S
A
M
B
R
-
P
—
0
l
i
l
l
3
5
4
O
4
5
5
0
5
5
6
0
6
5
7
0
7
5
8
0
5
1
0
2
(
w
t
x
)
F
i
g
u
r
e
6
.
T
o
t
a
l
A
l
k
a
l
i
-
s
i
l
i
c
a
c
l
a
s
s
i
f
i
c
a
t
i
o
n
d
i
a
g
r
a
m
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
2
9
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
i
n
e
a
c
h
m
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
r
a
n
g
e
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
r
h
y
o
l
i
t
e
.
I
n
t
h
i
s
s
t
u
d
y
,
a
l
l
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
w
h
i
c
h
h
a
v
e
$
1
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
s
g
r
e
a
t
e
r
t
h
a
n
7
4
w
t
%
$
1
0
2
w
i
l
l
b
e
c
l
a
s
s
i
f
i
e
d
a
s
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
.
S
o
m
e
a
l
k
a
l
i
m
o
b
i
l
i
z
a
t
i
o
n
m
a
y
h
a
v
e
o
c
c
u
r
r
e
d
w
i
t
h
i
n
t
h
e
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
s
t
h
e
t
u
f
f
s
c
o
o
l
e
d
a
f
t
e
r
e
m
p
l
a
c
e
m
e
n
t
,
a
n
d
,
f
r
o
m
s
e
c
o
n
d
a
r
y
h
y
d
r
a
t
i
o
n
o
f
t
h
e
w
h
o
l
e
-
r
o
c
k
t
u
f
f
d
u
e
t
o
i
n
t
e
r
a
c
t
i
o
n
w
i
t
h
g
r
o
u
n
d
w
a
t
e
r
(
A
r
a
m
a
k
i
a
n
d
L
i
p
m
a
n
,
1
9
6
5
;
L
i
p
m
a
n
,
1
9
6
5
;
N
o
b
l
e
,
1
9
6
7
)
.
T
h
e
c
h
e
m
i
c
a
l
c
l
a
s
s
i
f
i
c
a
t
i
o
n
s
y
s
t
e
m
s
w
h
i
c
h
r
e
l
y
o
n
t
o
t
a
l
a
l
k
a
l
i
s
v
e
r
s
u
s
s
i
l
i
c
a
s
h
o
u
l
d
t
h
u
s
b
e
u
s
e
d
w
i
t
h
s
o
m
e
c
a
u
t
i
o
n
(
e
g
.
L
e
B
a
s
,
e
t
a
l
.
,
1
9
8
6
;
I
r
v
i
n
e
a
n
d
B
a
r
a
g
e
r
,
1
9
7
1
)
.
A
n
a
l
y
s
e
s
o
f
t
h
e
a
l
k
a
l
i
e
l
e
m
e
n
t
s
i
n
t
h
i
s
s
t
u
d
y
h
o
w
e
v
e
r
d
o
n
o
t
i
n
d
i
c
a
t
e
s
i
g
n
i
f
i
c
a
n
t
a
l
k
a
l
i
m
o
b
i
l
i
z
a
t
i
o
n
b
a
s
e
d
o
n
l
o
w
s
c
a
t
t
e
r
o
f
t
h
e
d
a
t
a
i
n
t
h
e
g
e
o
c
h
e
m
i
c
a
l
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
.
A
n
a
l
y
t
i
c
a
l
t
e
c
h
n
i
q
u
e
s
u
s
e
d
t
o
d
e
t
e
r
m
i
n
e
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
a
n
d
p
h
e
n
o
c
r
y
s
t
s
a
r
e
d
e
s
c
r
i
b
e
d
i
n
A
p
p
e
n
d
i
x
3
.
U
S
G
S
,
C
a
n
a
d
i
a
n
a
n
d
J
a
p
a
n
e
s
e
w
h
o
l
e
-
r
o
c
k
s
t
a
n
d
a
r
d
s
u
s
e
d
t
o
c
a
l
i
b
r
a
t
e
t
h
e
a
n
a
l
y
s
e
s
a
r
e
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
s
A
3
a
,
A
3
b
a
n
d
A
3
c
.
M
i
n
e
r
a
l
s
t
a
n
d
a
r
d
a
n
a
l
y
s
e
s
a
n
d
m
i
c
r
o
p
r
o
b
e
b
e
a
m
p
a
r
a
m
e
t
e
r
s
u
s
e
d
f
o
r
c
a
l
i
b
r
a
t
i
o
n
o
f
p
h
e
n
o
c
r
y
s
t
a
n
a
l
y
s
e
s
o
n
t
h
e
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
r
e
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
s
A
3
d
a
n
d
A
3
e
r
e
s
p
e
c
t
i
v
e
l
y
.
3
0
M
a
j
o
r
E
l
e
m
e
n
t
O
x
i
d
e
s
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
M
a
j
o
r
e
l
e
m
e
n
t
a
n
a
l
y
s
e
s
w
e
r
e
p
e
r
f
o
r
m
e
d
o
n
1
0
4
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
c
o
l
l
e
c
t
e
d
f
r
o
m
s
e
v
e
n
s
t
r
a
t
i
g
r
a
p
h
i
c
s
e
c
t
i
o
n
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
s
e
c
t
i
o
n
s
8
,
1
1
,
1
8
,
2
1
,
2
3
,
2
5
a
n
d
2
6
;
A
p
p
e
n
d
i
x
1
)
(
F
i
g
.
1
)
.
R
a
w
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
p
r
e
s
e
n
t
e
d
i
n
A
p
p
e
n
d
i
x
2
.
H
a
r
k
e
r
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
r
e
p
r
e
s
e
n
t
e
d
i
n
F
i
g
u
r
e
7
.
5
1
0
2
w
a
s
c
h
o
s
e
n
a
s
t
h
e
a
b
s
c
i
s
s
a
f
o
r
t
h
e
s
e
p
l
o
t
s
a
s
i
t
h
a
s
t
h
e
l
a
r
g
e
s
t
d
e
g
r
e
e
o
f
v
a
r
i
a
t
i
o
n
o
f
t
h
e
m
a
j
o
r
e
l
e
m
e
n
t
o
x
i
d
e
s
.
M
g
O
w
a
s
n
o
t
u
s
e
d
b
e
c
a
u
s
e
i
t
c
o
m
m
o
n
l
y
f
a
l
l
s
b
e
l
o
w
X
R
F
d
e
t
e
c
t
i
o
n
l
i
m
i
t
s
f
o
r
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
m
p
l
e
s
.
A
l
l
m
a
j
o
r
e
l
e
m
e
n
t
s
,
e
x
c
e
p
t
A
1
2
0
3
,
N
a
Z
O
a
n
d
K
2
0
,
c
o
n
s
i
s
t
e
n
t
l
y
d
e
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
w
i
t
h
r
e
s
p
e
c
t
t
o
i
n
c
r
e
a
s
i
n
g
8
1
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
s
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
r
e
n
d
s
o
f
A
1
2
0
3
,
N
a
Z
O
a
n
d
K
2
0
e
x
h
i
b
i
t
s
h
a
r
p
i
n
f
l
e
c
t
i
o
n
s
a
t
a
p
p
r
o
x
i
m
a
t
e
l
y
6
5
w
t
%
8
1
0
2
;
t
h
i
s
m
a
y
r
e
f
l
e
c
t
t
h
e
r
e
m
o
v
a
l
o
f
v
a
r
i
o
u
s
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
.
S
i
l
i
c
a
c
o
n
c
e
n
t
r
a
t
i
o
n
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
t
e
n
d
t
o
c
l
u
s
t
e
r
i
n
t
o
g
r
o
u
p
s
.
T
h
e
c
l
u
s
t
e
r
i
n
g
o
f
d
a
t
a
c
a
n
b
e
o
b
s
e
r
v
e
d
o
n
m
a
j
o
r
e
l
e
m
e
n
t
p
l
o
t
s
,
b
u
t
i
s
m
o
r
e
p
r
o
n
o
u
n
c
e
d
o
n
t
r
a
c
e
e
l
e
m
e
n
t
v
e
r
s
u
s
s
i
l
i
c
a
p
l
o
t
s
(
F
i
g
.
8
)
.
T
h
r
e
e
g
r
o
u
p
s
c
a
n
b
e
i
d
e
n
t
i
f
i
e
d
f
r
o
m
t
h
e
m
a
j
o
r
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
)

4

1

1

5

9

(

  

 

3
1
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
 
 
 
 
 
 
 
 
 
 
 
2
0
.
I
2
.
0
m
y
0
o
0
A
1
2
0
3
‘
o
T
l
O
2
.
.
0
9
w
9
%
q
3
1
.
5
1
5
-
-
0
°
-
&
o
—
I
I
-
o
‘
1
1
.
0
I
l
r
(
D
4
o
L
-
1
0
0
1
2
1
-
.
3
,
b
.
H
m
0
0
.
5
~
1
a
_
F
e
O
J
_
M
n
O
.
M
)
-
0
.
d
B
,
.
%
d
L
"
0
.
3
—
o
u
-
I
4
I
.
0
%
.
1
-
"
0
.
2
.
o
.
1
o
.
%
o
2
-
.
'
l
e
.
r
,
4
°
°
I
m
,
w
fl
l
h
,
‘
fi
fi
i
'
d
t
r
s
,
1
3
~
g
o
a
s
9
6
‘
0
1
‘
A
J
2
.
°
«
3
£
5
.
°
¢
p
-
9
c
»
‘
2
I
O
.
.
I
n
a
!
.
.
1
5
b
"
D
4
*
‘
I
-
"
8
3
—
<
-
v
-
I
:
‘
2
.
.
.
.
1
7
-
"
.
b
H
1
2
r
r
r
j
s
o
s
o
a
s
7
0
7
3
s
o
.
P
2
0
5
J
3
1
0
.
t
a
u
)
0
.
.
0
I
-
.
I
i
D
o
d
0
0
0
.
5
-
_
.
0
.
 
-
o
-
0
1
!
.
"
‘
M
.
0
,
0
‘
h
—
5
5
D
O
8
5
7
0
7
5
.
0
a
n
»
«
a
n
 
 
F
i
g
u
r
e
7
.
M
a
j
o
r
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
6

G

L

r

l

l

l

l

l

l

l

l

l

L

l

l

l

l

l

l

l

l

L

)

d

d

m

(

3
2
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
2
0
0
,
,
3
5
0
 
 
I
I
I
T
N
3
R
D
1
5
0
_
2
5
0
1
0
0
9
9
8
e
-
1
5
0
5
0
g
i
9
*
9
,
3
?
 
 
q
-
l
2
0
0
-
'
9
1
0
 
 
.
0
9
,
'
.
i
1
0
0
0
.
—
o
n
0
S
r
‘
:
L
Y
o
q
4
0
5
0
0
-
°
°
4
_
s
s
o
3
0
0
L
0
8
:
0
0
0
%
0
0
0
0
E
-
-
-
2
o
‘
°
°
:
fi
g
,
:
o
5
?
.
i
fi
a
h
fi
l
l
-
—
.
o
6
’
0
2
1
‘
N
D
I
e
e
I
I
h
4
0
0
7
'
o
o
 
 
 
 
 
 
 
 
0
0
w
.
.
)
-
0
o
0
I
1
2
0
o
2
0
0
-
(
8
%
.
_
0
0
m
°
°
9
0
3
%
9
.
8
8
~
1
0
-
*
°
u
e
~
~
1
~
6
!
l
C
o
I
r
-
“
2
5
0
0
0
B
a
:
0
S
C
:
1
2
2
0
0
0
-
0
0
0
°
8
,
:
-
o
o
e
'
j
1
0
1
5
0
0
0
%
8
0
:
0
l
a
0
,
.
0
0
.
,
a
1
0
0
0
b
q
,
.
.
.
o
o
.
1
m
L
r
l
-
c
O
“
P
d
‘
5
0
0
g
o
,
.
g
,
1
a
o
‘
‘
4
h
‘
‘
o
a
s
s
o
a
s
7
0
7
5
s
o
a
s
s
o
a
s
7
0
7
5
s
o
5
1
0
.
(
I
t
!
)
3
1
0
,
t
u
t
!
)
F
i
g
u
r
e
8
.
T
r
a
c
e
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
)

d

o

m

(

3
3
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
I
s
.
J
.
0
4
0
,
2
:
‘
9
9
H
f
:
_
T
h
‘
3
9
0
%
.
”
9
:
'
0
°
0
’
9
"
'
o
0
8
0
o
I
:
0
0
o
‘
1
!
)
:
1
'
-
0
°
0
o
.
1
2
°
°
1
°
8
-
‘
0
8
‘
”
L
o
q
1
.
o
d
‘
0
3
’
.
p
1
t
i
l
2
t
0
0
r
I
r
:
2
0
-
9
.
0
L
a
-
C
9
g
«
2
0
0
L
0
0
Q
)
o
o
T
0
0
o
6
,
0
0
0
0
0
9
°
Z
o
o
m
0
0
%
:
0
0
°
0
0
%
1
5
°
:
-
0
.
.
0
s
o
~
0
o
-
1
1
0
0
r
o
'
1
w
e
“
s
o
:
a
.
3
:
a
.
‘
s
o
L
I
I
t
‘
‘
2
;
S
m
j
E
1
.
0
0
0
0
0
1
3
:
.
y
o
3
T
1
)
1
.
3
.
O
o
0
.
5
+
0
0
”
”
a
?
_
I
J
a
s
s
o
a
s
7
0
v
s
n
o
o
.
e
-
L
U
.
n
o
.
l
a
w
0
.
5
-
.
f
o
r
o
o
d
0
.
4
d
o
.
A
8
9
°
0
%
”
?
g
1
0
.
2
-
7
-
&
0
d
0
.
0
5
5
s
o
a
s
7
0
7
5
s
o
8
1
0
.
M
l
)
F
i
g
u
r
e
8
.
C
o
n
t
i
n
u
e
d
.
3
4
d
i
a
g
r
a
m
s
b
a
s
e
d
o
n
s
i
l
i
c
a
g
a
p
s
o
r
z
o
n
e
s
o
f
l
o
w
d
a
t
a
f
r
e
q
u
e
n
c
y
;
1
)
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
r
a
c
h
y
d
a
c
i
t
e
(
g
r
o
u
p
1
R
)
(
5
7
w
t
%
t
o
6
1
w
t
%
8
1
0
2
)
,
2
)
t
r
a
c
h
y
d
a
c
i
t
e
t
o
r
h
y
o
l
i
t
e
(
g
r
o
u
p
2
R
)
(
6
3
w
t
%
t
o
7
0
w
t
%
8
1
0
2
)
a
n
d
3
)
r
h
y
o
l
i
t
e
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
g
r
o
u
p
3
R
,
4
R
)
(
7
4
w
t
%
t
o
7
8
w
t
%
S
i
O
Z
)
(
F
i
g
s
.
4
a
n
d
5
a
)
.
T
h
e
s
i
l
i
c
a
g
a
p
w
i
t
h
i
n
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
i
s
n
o
t
a
t
r
u
e
g
a
p
b
u
t
a
r
e
g
i
o
n
o
f
l
o
w
d
a
t
a
f
r
e
q
u
e
n
c
y
.
T
h
e
s
i
l
i
c
a
g
a
p
w
i
t
h
i
n
t
h
e
r
h
y
o
l
i
t
e
h
o
w
e
v
e
r
i
s
m
o
r
e
p
r
o
n
o
u
n
c
e
d
a
n
d
s
p
a
n
s
a
r
a
n
g
e
o
f
4
w
t
%
8
1
0
2
.
S
y
n
t
h
e
s
i
s
o
f
w
h
o
l
e
-
r
o
c
k
t
u
f
f
c
h
e
m
i
s
t
r
y
a
n
d
p
e
t
r
o
g
r
a
p
h
i
c
a
n
a
l
y
s
e
s
o
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
b
y
B
y
e
r
s
,
e
t
a
l
.
(
1
9
7
6
a
)
d
o
c
u
m
e
n
t
e
d
t
h
e
n
o
r
m
a
l
z
o
n
a
t
i
o
n
o
f
w
h
o
l
e
-
r
o
c
k
s
i
l
i
c
a
c
o
n
c
e
n
t
r
a
t
i
o
n
s
f
r
o
m
7
8
w
t
%
$
1
0
2
a
t
t
h
e
b
a
s
e
t
o
6
9
w
t
%
8
1
0
2
a
t
t
h
e
t
o
p
.
C
o
r
r
e
s
p
o
n
d
i
n
g
c
h
a
n
g
e
s
i
n
t
h
e
m
o
d
e
s
o
f
q
u
a
r
t
z
,
f
e
l
d
s
p
a
r
,
b
i
o
t
i
t
e
,
p
y
r
o
x
e
n
e
,
a
n
d
a
m
p
h
i
b
o
l
e
l
e
d
B
y
e
r
s
,
e
t
a
l
.
,
(
1
9
7
6
a
)
t
o
p
r
o
p
o
s
e
t
h
a
t
t
h
e
p
r
e
-
e
r
u
p
t
i
v
e
m
a
g
m
a
b
o
d
y
w
a
s
z
o
n
e
d
f
r
o
m
q
u
a
r
t
z
l
a
t
i
t
e
i
n
t
h
e
l
o
w
e
r
p
o
r
t
i
o
n
s
o
f
t
h
e
c
h
a
m
b
e
r
t
o
h
i
g
h
—
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
t
t
h
e
c
u
p
o
l
a
.
T
h
i
s
h
y
p
o
t
h
e
s
i
s
i
s
s
u
p
p
o
r
t
e
d
b
y
m
o
r
e
r
e
c
e
n
t
w
o
r
k
o
n
b
o
t
h
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
b
y
B
r
o
x
t
o
n
,
e
t
a
l
.
,
(
1
9
8
5
,
1
9
8
9
)
a
n
d
W
a
r
r
e
n
,
e
t
a
l
.
,
(
1
9
8
9
)
.
A
s
i
g
n
i
f
i
c
a
n
t
l
y
g
r
e
a
t
e
r
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
d
o
c
u
m
e
n
t
e
d
f
r
o
m
a
n
a
l
y
s
e
s
o
f
t
h
e
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
T
h
i
s
r
a
n
g
e
i
n
$
1
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
(
5
7
-
7
8
w
t
%
$
1
0
2
)
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
t
h
e
3
5
l
a
r
g
e
s
t
t
h
u
s
f
a
r
d
o
c
u
m
e
n
t
e
d
f
o
r
a
n
a
s
h
-
f
l
o
w
t
u
f
f
(
M
i
l
l
s
a
n
d
R
o
s
e
,
1
9
8
6
;
M
i
l
l
s
,
e
t
a
l
.
,
1
9
8
7
)
.
P
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
d
o
n
o
t
c
h
a
n
g
e
s
y
s
t
e
m
a
t
i
c
a
l
l
y
f
r
o
m
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
t
o
t
r
a
c
h
y
a
n
d
e
s
i
t
e
w
i
t
h
i
n
c
r
e
a
s
i
n
g
s
t
r
a
t
i
g
r
a
p
h
i
c
h
e
i
g
h
t
.
T
h
e
u
n
w
e
l
d
e
d
t
o
p
a
r
t
i
a
l
l
y
w
e
l
d
e
d
b
a
s
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
T
u
f
f
i
s
c
o
m
p
o
s
e
d
o
f
a
g
e
o
c
h
e
m
i
c
a
l
l
y
b
i
m
o
d
a
l
p
o
p
u
l
a
t
i
o
n
(
b
a
s
e
d
o
n
R
b
a
n
d
N
b
c
o
n
c
e
n
t
r
a
t
i
o
n
s
)
o
f
q
u
a
r
t
z
,
f
e
l
d
s
p
a
r
a
n
d
b
i
o
t
i
t
e
b
e
a
r
i
n
g
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
T
h
e
r
a
n
g
e
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
b
e
c
o
m
e
s
l
a
r
g
e
r
w
i
t
h
i
n
c
r
e
a
s
i
n
g
s
t
r
a
t
i
g
r
a
p
h
i
c
h
e
i
g
h
t
.
H
o
r
n
b
l
e
n
d
e
,
p
y
r
o
x
e
n
e
,
a
n
d
f
e
l
d
s
p
a
r
-
r
i
c
h
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
b
e
c
o
m
e
v
o
l
u
m
e
t
r
i
c
a
l
l
y
m
o
r
e
s
i
g
n
i
f
i
c
a
n
t
u
p
s
e
c
t
i
o
n
(
F
i
g
.
2
)
.
A
l
l
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
f
o
u
n
d
w
i
t
h
i
n
t
h
e
s
h
e
e
t
a
r
e
r
e
p
r
e
s
e
n
t
e
d
w
i
t
h
i
n
t
h
e
u
p
p
e
r
f
e
w
m
e
t
e
r
s
o
f
t
h
e
t
o
p
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
h
i
s
f
e
a
t
u
r
e
h
a
s
b
e
e
n
n
o
t
e
d
i
n
s
e
v
e
r
a
l
o
t
h
e
r
a
s
h
-
f
l
o
w
d
e
p
o
s
i
t
s
;
t
h
e
M
o
u
n
t
M
a
z
a
m
a
p
y
r
o
c
l
a
s
t
i
c
f
l
o
w
s
(
M
c
B
i
r
n
e
y
,
1
9
6
8
;
N
o
b
l
e
,
e
t
a
l
.
,
1
9
6
9
;
D
r
u
i
t
t
a
n
d
B
a
c
o
n
,
1
9
8
6
)
,
a
s
h
-
f
l
o
w
s
h
e
e
t
s
f
r
o
m
t
h
e
A
5
0
c
a
l
d
e
r
a
,
J
a
p
a
n
(
L
i
p
m
a
n
,
1
9
6
7
)
,
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
M
e
m
b
e
r
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
,
N
e
v
a
d
a
(
L
i
p
m
a
n
e
t
a
l
.
,
1
9
6
6
;
S
c
h
u
r
a
y
t
z
e
t
a
l
.
,
1
9
8
6
)
,
t
h
e
T
i
v
a
C
a
n
y
o
n
M
e
m
b
e
r
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
(
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
a
,
1
9
8
9
b
)
,
p
y
r
o
c
l
a
s
t
i
c
d
e
p
o
s
i
t
s
d
e
r
i
v
e
d
f
r
o
m
t
h
e
L
a
s
C
a
n
a
d
a
s
c
a
l
d
e
r
a
o
n
T
e
n
e
r
i
f
e
I
s
l
a
n
d
(
C
a
n
a
r
y
I
s
l
a
n
d
s
)
(
W
o
l
f
f
a
n
d
S
t
o
r
e
y
,
1
9
8
4
)
a
n
d
i
n
t
h
e
1
9
1
2
a
s
h
-
f
l
o
w
o
f
t
h
e
V
a
l
l
e
y
o
f
T
e
n
T
h
o
u
s
a
n
d
S
m
o
k
e
s
,
A
l
a
s
k
a
3
6
(
H
i
l
d
r
e
t
h
,
1
9
8
3
)
.
T
h
e
o
r
i
g
i
n
o
f
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
e
t
e
r
o
g
e
n
e
o
u
s
p
u
m
i
c
e
-
f
r
a
g
m
e
n
t
p
o
p
u
l
a
t
i
o
n
i
s
m
o
s
t
l
i
k
e
l
y
a
r
e
s
u
l
t
o
f
e
r
u
p
t
i
o
n
d
y
n
a
m
i
c
s
a
n
d
w
i
l
l
b
e
d
i
s
c
u
s
s
e
d
i
n
m
o
r
e
d
e
t
a
i
l
i
n
a
l
a
t
e
r
s
e
c
t
i
o
n
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
M
a
j
o
r
e
l
e
m
e
n
t
a
n
a
l
y
s
e
s
w
e
r
e
d
o
n
e
o
n
3
5
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
c
o
l
l
e
c
t
e
d
f
r
o
m
t
w
o
s
t
r
a
t
i
g
r
a
p
h
i
c
s
e
c
t
i
o
n
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
(
s
e
c
t
i
o
n
s
4
a
n
d
5
;
A
p
p
e
n
d
i
x
1
)
(
F
i
g
.
1
)
.
R
a
w
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
s
p
r
e
s
e
n
t
e
d
i
n
A
p
p
e
n
d
i
x
2
.
G
e
o
c
h
e
m
i
c
a
l
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
a
r
e
p
r
e
s
e
n
t
e
d
i
n
F
i
g
u
r
e
s
9
a
n
d
1
0
.
A
l
l
m
a
j
o
r
e
l
e
m
e
n
t
s
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
A
1
2
0
3
a
n
d
K
2
0
,
c
o
n
s
i
s
t
e
n
t
l
y
d
e
c
r
e
a
s
e
i
n
a
b
u
n
d
a
n
c
e
w
i
t
h
r
e
s
p
e
c
t
t
o
i
n
c
r
e
a
s
i
n
g
s
i
l
i
c
a
f
r
o
m
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
T
r
e
n
d
s
o
f
t
h
e
m
a
j
o
r
e
l
e
m
e
n
t
s
,
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
T
1
0
2
,
N
a
Z
O
a
n
d
M
n
O
,
a
r
e
c
h
a
r
a
c
t
e
r
i
z
e
d
b
y
i
n
f
l
e
c
t
i
o
n
s
a
t
a
p
p
r
o
x
i
m
a
t
e
l
y
6
5
-
6
8
w
t
%
S
i
O
2
w
i
t
h
r
e
s
p
e
c
t
t
o
i
n
c
r
e
a
s
i
n
g
s
i
l
i
c
a
t
h
a
t
m
a
y
r
e
f
l
e
c
t
t
h
e
r
e
m
o
v
a
l
o
f
v
a
r
i
o
u
s
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
(
F
i
g
.
9
)
.
T
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
h
a
s
a
l
m
o
s
t
a
s
l
a
r
g
e
a
r
a
n
g
e
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
m
a
j
o
r
e
l
e
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
(
5
9
-
7
8
w
t
%
$
1
0
2
)
a
s
d
o
e
s
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
A
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
t
h
e
m
a
j
o
r
e
l
e
m
e
n
t
o
x
i
d
e
d
a
t
a
e
x
h
i
b
i
t
l
i
t
t
l
e
s
c
a
t
t
e
r
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
t
h
e
N
a
Z
O
a
n
d
K
2
0
w
h
i
c
h
i
s
1

M

1

%

(

2
0
I
T
t
o
-
+
”
I
n
.
A
1
2
0
3
.
.
+
.
1
1
8
L
*
1
:
j
4
.
1
‘
'
+
+
I
I
1
2
'
I
-
I
u
‘
a
n
5
F
+
F
e
O
-
4
.
‘
D
+
+
d
3
1
*
+
.
.
4
.
2
"
+
a
n
1
-
a
.
*
1
+
+
*
.
.
M
9
0
A
4
'
D
e
2
1
-
a
4
4
+
+
3
’
+
+
+
1
)
-
4
.
.
.
+
.
-
I
I
I
4
.
+
+
#
+
4
-
0
:
+
4
—
N
3
2
0
5
"
'
+
-
'
4
'
+
+
+
+
+
o
+
g
,
4
1
-
+
.
1
+
+
+
+
a
.
.
g
l
_
+
P
2
0
5
-
0
.
4
b
+
-
‘
+
+
+
)
-
_
2
+
0
.
+
4
.
.
'
3
'
+
t
.
I
!
“
4
‘
,
d
o
‘
‘
+
‘
4
I
h
—
5
5
6
0
8
5
7
0
7
5
8
0
a
m
.
I
n
!
)
F
i
g
u
r
e
9
.
3
7
A
M
M
O
N
I
A
T
A
N
K
S
M
E
M
B
E
R
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
.
1
.
5
I
T
1
0
«
I
+
2
2
I
+
‘
.
i
n
.
i
D
J
—
T
-
I
L
5
:
-
+
-
I
:
.
.
”
1
‘
*
2
.
M
n
O
.
0
4
-
d
0
.
3
-
-
l
0
.
2
4
.
4
»
4
4
4
-
1
.
.
.
.
.
.
H
'
4
'
“
+
4
4
.
4
*
J
0
.
1
_
+
C
8
0
.
‘
+
_
+
4
.
"
3
+
+
h
+
+
I
a
+
.
a
n
t
.
.
.
+
1
”
.
.
1
g
.
.
“
F
.
K
2
0
+
‘
7
‘
4
-
L
+
“
*
4
-
.
.
5
+
+
+
H
+
+
+
5
5
0
0
B
S
7
0
7
5
0
0
3
:
0
.
(
a
t
!
)
M
a
j
o
r
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
3
8
A
M
M
O
N
I
A
T
A
N
K
S
M
E
M
B
E
R
 
 
 
 
 
 
 
2
m
:
_
;
:
Z
r
}
:
2
+
:
r
+
3
i
+
3
*
‘
f
.
5
°
T
"
'
+
+
'
1
+
E
+
4
1
-
S
r
'
9
0
0
A
+
-
l
-
+
a
8
0
0
»
+
+
.
_
¢
_
‘
0
0
-
+
q
h
+
1
2
m
:
-
E
L
a
+
3
3
"
:
+
4
4
1
o
.
L
—
W
-
I
;
:
4
.
.
.
8
"
+
+
Z
"
o
o
o
—
+
I
"
-
.
+
+
.
o
w
)
»
-
4
0
0
L
1
.
.
.
-
1
-
+
+
-
q
.
2
m
>
-
+
4
.
1
b
1
+
F
r
4
0
0
0
-
+
+
4
,
B
a
.
1
+
+
s
o
o
o
.
.
+
2
0
0
0
-
"
'
«
I
o
o
o
»
‘
1
'
*
.
i
a
.
o
l
j
a
s
s
o
a
s
7
0
7
5
e
m
.
M
i
)
F
i
g
u
r
e
1
0
.
 
 
 
 
 
 
 
V
:
R
b
£
1
)
-
I
I
-
-
:
2
0
0
I
"
'
.
.
I
+
I
[
-
+
$
+
+
1
1
5
0
Z
+
+
i
:
—
+
_
g
o
o
-
+
.
:
-
+
-
4
0
+
$
*
1
4
.
7
+
T
"
+
.
,
+
+
T
+
‘
H
'
é
.
s
o
-
-
2
0
I
-
a
T
‘
0
A
U
I
#
~
1
3
-
N
b
.
p
-
.
4
0
E
.
I
-
g
"
3
0
+
1
“
-
‘
T
+
)
-
+
+
+
I
i
+
+
+
+
+
b
+
E
.
I
I
t
o
I
-
+
S
C
i
s
F
+
+
+
+
i
)
-
+
+
+
+
A
l
l
.
1
-
&
0
d
.
.
f
r
.
4
7
'
+
+
‘
.
.
+
c
l
2
.
+
Q
l
1
5
5
8
0
6
5
7
0
7
5
0
0
8
1
0
.
(
i
t
!
)
T
r
a
c
e
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
3
9
A
M
M
O
N
I
A
T
A
N
K
S
M
E
M
B
E
R
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2
5
r
‘
‘
0
2
,
,
_
H
f
.
T
h
&
4
.
+
4
4
2
:
-
+
'
3
°
1
5
T
‘
-
1
-
+
+
W
4
.
+
4
.
i
'
2
0
1
0
n
*
4
.
d
'
fl
'
+
+
+
4
.
+
+
*
’
*
*
+
-
1
0
5
"
‘
fi
-
0
I
+
+
I
l
+
f
I
2
0
0
r
4
'
L
a
"
C
B
-
3
0
0
+
I
.
1
5
0
A
#
4
.
+
+
+
+
+
1
+
1
+
+
.
2
0
0
1
0
0
~
+
+
.
.
4
+
4
.
5
0
fl
.
.
.
4
’
+
i
-
I
:
0
0
i
.
+
U
A
(
I
D
I
:
I
i
5
I
U
r
-
.
a
.
+
-
+
+
s
—
r
1
2
_
+
S
i
l
l
:
E
L
i
+
1
.
.
.
+
‘
3
A
'
-
+
+
+
I
E
g
I
:
+
+
T
.
+
1
+
D
.
.
+
+
"
'
+
.
.
.
2
c
1
.
1
.
T
'
7
‘
4
i
“
t
.
)
-
d
+
a
‘
3
:
S
I
‘
B
H
-
!
,
2
;
1
T
D
.
Y
b
+
.
.
.
.
+
4
4
+
4
.
4
+
+
'
1
'
.
.
0
.
9
L
4
.
i
.
1
"
+
+
j
+
$
5
.
3
0
B
:
+
F
.
+
4
.
'
_
_
1
4
'
“
T
I
T
-
‘
4
'
“
I
"
.
1
.
+
.
a
0
.
3
-
‘
1
'
:
I
I
I
'
'
s
o
s
o
7
0
7
5
s
o
o
.
s
-
L
U
.
3
1
0
,
M
t
)
I
-
+
'
1
d
o
-
i
i
-
i
+
.
.
o
4
.
+
+
"
4
-
'
5
'
N
+
-
I
.
+
«
I
I
0
.
2
-
'
4
M
.
o
‘
o
s
s
s
o
s
s
7
0
7
5
s
o
o
u
t
«
a
n
F
i
g
u
r
e
1
0
.
C
o
n
t
i
n
u
e
d
.
4
0
m
o
s
t
l
i
k
e
l
y
d
u
e
t
o
m
i
n
o
r
s
e
c
o
n
d
a
r
y
h
y
d
r
a
t
i
o
n
o
f
t
h
e
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
E
a
r
l
y
s
t
u
d
i
e
s
b
a
s
e
d
o
n
w
h
o
l
e
-
r
o
c
k
t
u
f
f
g
e
o
c
h
e
m
i
c
a
l
a
n
a
l
y
s
e
s
l
e
d
B
y
e
r
s
,
e
t
a
l
.
,
(
1
9
6
8
,
1
9
7
6
a
)
t
o
i
n
f
e
r
t
h
a
t
t
h
e
l
o
w
e
r
u
n
i
t
o
f
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
a
s
r
e
v
e
r
s
e
l
y
z
o
n
e
d
w
i
t
h
r
e
s
p
e
c
t
t
o
s
i
l
i
c
a
c
o
n
c
e
n
t
r
a
t
i
o
n
.
W
h
o
l
e
—
r
o
c
k
t
u
f
f
s
i
l
i
c
a
c
o
n
c
e
n
t
r
a
t
i
o
n
s
r
a
n
g
e
f
r
o
m
6
8
w
t
%
S
i
0
2
a
t
t
h
e
b
a
s
e
t
o
7
8
w
t
%
S
i
0
2
a
t
t
h
e
t
o
p
.
W
h
o
l
e
-
r
o
c
k
a
n
a
l
y
s
e
s
o
f
t
u
f
f
s
f
r
o
m
t
h
e
u
p
p
e
r
p
o
r
t
i
o
n
o
f
t
h
e
u
p
p
e
r
c
o
o
l
i
n
g
u
n
i
t
w
e
r
e
n
o
t
r
e
p
o
r
t
e
d
,
b
u
t
t
h
i
s
u
n
i
t
w
a
s
a
l
s
o
i
n
f
e
r
r
e
d
t
o
b
e
r
e
v
e
r
s
e
l
y
z
o
n
e
d
b
a
s
e
d
o
n
t
h
e
p
r
e
s
e
n
c
e
o
f
a
q
u
a
r
t
z
l
a
t
i
t
i
c
b
a
s
e
(
6
6
w
t
%
S
i
0
2
)
(
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
)
.
R
e
c
e
n
t
w
o
r
k
u
s
i
n
g
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
o
n
t
h
e
c
o
m
p
o
u
n
d
c
o
o
l
i
n
g
u
n
i
t
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
b
y
M
i
l
l
s
a
n
d
R
o
s
e
(
1
9
8
6
)
a
n
d
R
o
s
e
(
1
9
8
8
)
h
a
s
s
h
o
w
n
t
h
a
t
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
o
r
m
t
h
e
b
u
l
k
o
f
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
p
o
p
u
l
a
t
i
o
n
a
t
t
h
e
b
a
s
e
o
f
t
h
e
l
o
w
e
r
u
n
i
t
a
n
d
d
e
c
r
e
a
s
e
r
a
p
i
d
l
y
(
u
s
u
a
l
l
y
w
i
t
h
i
n
o
n
e
m
e
t
e
r
o
f
t
h
e
b
a
s
e
)
i
n
a
b
u
n
d
a
n
c
e
t
o
w
a
r
d
s
t
h
e
t
o
p
o
f
t
h
e
u
p
p
e
r
u
n
i
t
.
T
h
e
b
a
s
e
o
f
t
h
e
u
p
p
e
r
u
n
i
t
d
o
e
s
n
o
t
h
a
v
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
p
u
m
i
c
e
-
r
i
c
h
z
o
n
e
.
A
l
l
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
f
o
u
n
d
i
n
t
h
e
l
o
w
e
r
p
o
r
t
i
o
n
o
f
t
h
e
s
h
e
e
t
c
a
n
b
e
f
o
u
n
d
a
t
t
h
e
v
e
r
y
t
o
p
o
f
t
h
e
c
o
m
p
o
u
n
d
c
o
o
l
i
n
g
u
n
i
t
(
F
i
g
s
.
2
a
n
d
3
)
.
I
t
i
s
q
u
e
s
t
i
o
n
a
b
l
e
w
h
e
t
h
e
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
a
n
b
e
l
a
b
e
l
e
d
a
s
e
i
t
h
e
r
a
n
o
r
m
a
l
o
r
r
e
v
e
r
s
e
l
y
z
o
n
e
d
t
u
f
f
f
o
r
t
w
o
r
e
a
s
o
n
s
;
1
)
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
p
u
m
i
c
e
-
r
i
c
h
z
o
n
e
a
t
4
1
t
h
e
b
a
s
e
i
s
n
o
t
a
l
w
a
y
s
p
r
e
s
e
n
t
a
n
d
2
)
d
e
p
e
n
d
i
n
g
o
n
t
h
e
t
y
p
e
a
n
d
n
u
m
b
e
r
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
p
r
e
s
e
n
t
w
i
t
h
i
n
t
h
e
w
h
o
l
e
-
r
o
c
k
t
u
f
f
a
t
a
n
y
g
i
v
e
n
l
o
c
a
t
i
o
n
,
t
h
e
o
v
e
r
a
l
l
c
o
m
p
o
s
i
t
i
o
n
o
f
t
h
e
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
m
p
l
e
w
i
l
l
b
e
h
i
g
h
l
y
v
a
r
i
a
b
l
e
.
T
w
o
o
f
t
h
e
t
h
r
e
e
s
t
r
a
t
i
g
r
a
p
h
i
c
s
e
c
t
i
o
n
s
c
h
o
s
e
n
f
o
r
s
a
m
p
l
i
n
g
c
o
n
t
a
i
n
e
d
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
e
t
e
r
o
g
e
n
e
o
u
s
p
u
m
i
c
e
f
r
a
g
m
e
n
t
p
o
p
u
l
a
t
i
o
n
s
f
r
o
m
t
h
e
b
a
s
e
t
o
t
h
e
t
o
p
o
f
t
h
e
a
s
h
-
f
l
o
w
s
h
e
e
t
(
M
i
l
l
s
a
n
d
R
o
s
e
,
1
9
8
6
;
M
i
l
l
s
,
e
t
a
l
.
,
1
9
8
7
;
R
o
s
e
,
1
9
8
8
)
.
T
h
e
s
i
l
i
c
a
c
o
n
t
e
n
t
o
f
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
i
n
t
h
e
b
a
s
a
l
p
o
r
t
i
o
n
s
o
f
t
h
e
s
e
c
t
i
o
n
s
l
o
c
a
t
e
d
a
l
o
n
g
t
h
e
s
o
u
t
h
e
r
n
m
a
r
g
i
n
o
f
P
a
h
u
t
e
M
e
s
a
r
a
n
g
e
f
r
o
m
6
9
.
6
w
t
%
t
o
7
8
w
t
%
S
i
0
2
w
h
e
r
e
a
s
a
t
t
h
e
t
o
p
o
f
t
h
e
s
e
c
t
i
o
n
s
,
t
h
e
r
a
n
g
e
i
n
c
r
e
a
s
e
s
f
r
o
m
5
9
.
4
w
t
%
t
o
7
7
.
7
w
t
%
S
i
O
Z
(
s
a
m
p
l
e
s
f
r
o
m
t
h
e
a
n
a
l
y
t
i
c
a
l
g
r
o
u
p
s
A
4
-
X
X
a
n
d
A
S
-
X
X
)
.
A
t
h
i
r
d
s
e
c
t
i
o
n
a
l
o
n
g
t
h
e
n
o
r
t
h
e
r
n
c
a
u
l
d
r
o
n
m
a
r
g
i
n
a
f
e
w
k
i
l
o
m
e
t
e
r
s
t
o
t
h
e
s
o
u
t
h
w
e
s
t
o
f
t
h
e
o
t
h
e
r
t
w
o
s
e
c
t
i
o
n
s
,
h
a
s
a
d
i
s
t
i
n
c
t
1
.
5
m
e
t
e
r
t
h
i
c
k
b
a
s
e
c
o
n
s
i
s
t
i
n
g
e
n
t
i
r
e
l
y
o
f
q
u
a
r
t
z
,
f
e
l
d
s
p
a
r
,
a
n
d
b
i
o
t
i
t
e
-
b
e
a
r
i
n
g
r
h
y
o
l
i
t
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
P
r
e
l
i
m
i
n
a
r
y
c
h
e
m
i
c
a
l
a
n
a
l
y
s
e
s
o
n
t
h
e
s
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
i
n
d
i
c
a
t
e
t
h
a
t
t
h
e
y
a
r
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
M
i
l
l
s
,
u
n
p
u
b
.
d
a
t
a
)
.
A
b
o
v
e
t
h
i
s
r
h
y
o
l
i
t
i
c
b
a
s
e
,
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
r
a
p
i
d
l
y
b
e
c
o
m
e
h
e
t
e
r
o
g
e
n
e
o
u
s
i
n
c
o
m
p
o
s
i
t
i
o
n
o
v
e
r
a
5
c
m
t
o
1
0
c
m
i
n
t
e
r
v
a
l
i
n
a
f
a
s
h
i
o
n
s
i
m
i
l
a
r
t
o
t
h
e
t
w
o
s
e
c
t
i
o
n
s
t
o
t
h
e
n
o
r
t
h
e
a
s
t
.
4
2
C
o
m
p
o
s
i
t
i
o
n
a
l
l
y
b
a
n
d
e
d
p
u
m
i
c
e
a
r
e
c
o
m
m
o
n
i
n
a
l
l
o
b
s
e
r
v
e
d
s
e
c
t
i
o
n
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
C
o
m
m
i
n
g
l
i
n
g
o
f
r
h
y
o
l
i
t
i
c
a
n
d
t
r
a
c
h
y
d
a
c
i
t
i
c
t
o
t
r
a
c
h
y
a
n
d
e
s
i
t
i
c
m
a
g
m
a
s
a
p
p
e
a
r
s
t
o
h
a
v
e
b
e
e
n
c
o
m
m
o
n
t
h
r
o
u
g
h
o
u
t
t
h
e
e
r
u
p
t
i
o
n
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
a
s
h
-
f
l
o
w
t
u
f
f
.
T
r
a
c
e
E
l
e
m
e
n
t
s
C
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
C
r
,
N
i
,
C
u
,
Z
n
,
R
b
,
S
r
,
Y
,
Z
r
,
N
b
,
B
a
,
S
c
,
H
f
,
T
h
,
a
n
d
t
h
e
r
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
s
L
a
,
C
e
,
S
m
,
E
u
,
T
b
,
Y
b
a
n
d
L
u
w
e
r
e
d
e
t
e
r
m
i
n
e
d
f
o
r
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
T
h
e
s
e
d
a
t
a
a
r
e
l
i
s
t
e
d
i
n
A
p
p
e
n
d
i
x
2
.
F
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
t
h
e
t
r
a
n
s
i
t
i
o
n
a
l
m
e
t
a
l
s
C
r
,
N
i
a
n
d
C
u
w
e
r
e
c
o
n
s
i
s
t
e
n
t
l
y
b
e
l
o
w
d
e
t
e
c
t
i
o
n
l
i
m
i
t
s
e
x
c
e
p
t
i
n
a
f
e
w
o
f
t
h
e
m
o
r
e
m
a
f
i
c
p
u
m
i
c
e
s
a
m
p
l
e
s
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
F
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
s
a
r
e
c
h
a
r
a
c
t
e
r
i
z
e
d
b
y
l
a
r
g
e
r
a
n
g
e
s
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
b
e
t
w
e
e
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
a
n
d
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
F
i
g
.
8
)
.
S
c
a
t
t
e
r
i
n
t
h
e
d
a
t
a
i
s
g
e
n
e
r
a
l
l
y
l
o
w
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
Z
n
a
n
d
Y
.
I
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
o
n
l
y
R
b
h
a
s
a
c
o
n
s
i
s
t
e
n
t
i
n
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
w
i
t
h
i
n
c
r
e
a
s
i
n
g
$
1
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
.
A
l
l
o
t
h
e
r
e
l
e
m
e
n
t
s
e
i
t
h
e
r
d
e
c
r
e
a
s
e
1

l

l

l

l

i

I

l

I

s

O

O

u

u

u

u

u

e

t

l

r

d

n

o

h

C

/

k

c

o

H

I

O

b

-

I

-

l

7

\

0

I

I

l

l

l

L

l

1

l

F
i
g
u
r
e
1
1
a
.
M
e
m
b
e
r
.
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
A
1
1
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
p
l
o
t
t
e
d
.
L
a
C
e
S
m
E
u
T
b
Y
b
L
u
1
0
0
0
 
 
l
l
I
[
W
i
l
l
]
I
I
l
[
I
I
I
I
I
 
]
1
[
1
1
1
1
1
1
 
’
l
I
I
1
1
1
1
1
2
:
H
 
 
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
4
3
4
4
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
 
 
 
 
 
 
 
 
1
0
0
0
E
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
:
:
I
—
c
u
t
:
H
i
g
h
N
b
.
H
i
g
h
8
1
0
'
R
h
y
o
l
i
t
e
Z
I
.
-
I
I
I
.
-
1
0
0
:
3
—
1
I
:
2
u
l
—
-
1
u
.
-
q
#
4
L
_
-
‘
c
’
o
1
0
:
-
“
:
1
c
:
:
U
h
-
.
4
\
*
-
.
4
x
b
-
u
L
—
_
O
C
:
h
-
—
4
:
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
?
5
L
o
w
N
b
.
m
a
n
-
s
a
c
,
R
h
y
o
l
i
t
e
_
i
—
—
1
F
-
-
—
1
1
0
0
E
-
'
5
Z
I
o
:
-
t
:
'
i
L
'
-
.
4
U
C
o
1
0
L
_
—
'
—
_
1
I
:
:
a
U
.
—
\
»
-
-
‘
’
6
.
~
~
0
_
fi
m
I
—
.
1
_
I
I
I
I
I
I
1
I
I
I
I
I
f
I
I
E
E
T
r
a
c
h
y
d
a
c
i
t
o
t
o
R
h
y
o
l
i
t
e
E
r
—
—
4
F
-
-
1
1
0
0
:
7
-
-
—
.
_
1
_
E
:
-
-
<
:
3
-
i
"
.
4
‘
-
h
E
o
1
0
=
-
T
:
C
:
-
1
U
-
d
\
'
-
"
‘
x
b
-
U
1
—
a
n
O
(
I
h
.
1
r
I
I
I
I
fi
I
I
I
I
f
I
I
I
r
E
T
r
a
c
h
y
a
n
d
e
s
i
t
e
:
a
n
d
1
0
0
1
3
I
.
0
L
'
i
E
o
t
o
-
=
.
1
:
:
U
a
n
\
d
f
,
7
+
g
u
1
E
—
(
a
n
d
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
 
 
L
a
C
.
5
:
E
u
T
b
Y
b
L
u
F
i
g
u
r
e
1
1
b
.
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
s
f
o
r
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
g
r
o
u
p
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
4
5
c
o
n
s
i
s
t
e
n
t
l
y
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
o
r
h
a
v
e
i
n
f
l
e
c
t
i
o
n
s
i
n
t
h
e
i
r
t
r
e
n
d
s
w
i
t
h
i
n
c
r
e
a
s
i
n
g
$
1
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
(
F
i
g
.
8
)
.
O
n
s
e
v
e
r
a
l
t
r
a
c
e
e
l
e
m
e
n
t
p
l
o
t
s
(
R
b
,
S
c
,
Y
,
N
b
,
T
h
a
n
d
L
a
)
,
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
d
a
t
a
c
a
n
d
i
v
i
d
e
d
i
n
t
o
t
w
o
s
e
p
a
r
a
t
e
c
o
m
p
o
n
e
n
t
s
(
g
r
o
u
p
3
R
,
4
R
;
F
i
g
.
5
a
)
.
F
o
r
t
h
i
s
s
t
u
d
y
,
t
h
e
d
e
s
i
g
n
a
t
i
o
n
l
o
w
-
N
b
,
h
i
g
h
—
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
n
d
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
w
i
l
l
b
e
u
s
e
d
t
o
i
d
e
n
t
i
f
y
t
h
e
r
e
s
p
e
c
t
i
v
e
r
h
y
o
l
i
t
i
c
c
o
m
p
o
n
e
n
t
s
.
N
b
w
a
s
c
h
o
s
e
n
b
e
c
a
u
s
e
o
f
t
h
e
l
o
w
s
c
a
t
t
e
r
i
n
t
h
e
d
a
t
a
a
n
d
t
h
e
g
o
o
d
s
e
p
a
r
a
t
i
o
n
o
f
t
h
e
t
w
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
c
o
m
p
o
n
e
n
t
s
.
R
b
m
a
y
a
l
s
o
b
e
u
s
e
d
t
o
d
i
s
c
r
i
m
i
n
a
t
e
t
h
e
t
w
o
r
h
y
o
l
i
t
i
c
c
o
m
p
o
n
e
n
t
s
.
T
h
u
s
,
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
c
o
n
t
a
i
n
s
a
t
o
t
a
l
o
f
f
o
u
r
m
a
g
m
a
t
i
c
g
r
o
u
p
s
b
a
s
e
d
u
p
o
n
m
a
j
o
r
-
e
l
e
m
e
n
t
a
n
d
t
r
a
c
e
—
e
l
e
m
e
n
t
c
h
e
m
i
s
t
r
y
;
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
r
a
c
h
y
d
a
c
i
t
e
(
g
r
o
u
p
1
R
)
,
t
r
a
c
h
y
d
a
c
i
t
e
t
o
r
h
y
o
l
i
t
e
(
g
r
o
u
p
2
R
)
,
l
o
w
-
N
b
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
g
r
o
u
p
3
R
)
a
n
d
h
i
g
h
-
N
b
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
g
r
o
u
p
4
R
)
(
F
i
g
s
.
4
a
n
d
5
a
)
.
C
h
o
n
d
r
i
t
e
n
o
r
m
a
l
i
z
e
d
r
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
r
e
s
h
o
w
n
i
n
F
i
g
u
r
e
s
1
1
a
a
n
d
1
1
b
.
C
h
o
n
d
r
i
t
e
n
o
r
m
a
l
i
z
a
t
i
o
n
f
a
c
t
o
r
s
a
r
e
f
r
o
m
H
a
s
k
i
n
s
,
e
t
a
l
.
,
(
1
9
6
8
)
.
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
d
a
t
a
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
c
a
n
b
e
s
e
p
a
r
a
t
e
d
i
n
t
o
d
i
s
t
i
n
c
t
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
o
u
p
s
,
w
i
t
h
i
n
w
h
i
c
h
,
s
a
m
p
l
e
s
e
x
h
i
b
i
t
s
i
m
i
l
a
r
t
r
e
n
d
s
o
n
t
h
e
C
h
o
n
d
r
i
t
e
n
o
r
m
a
l
i
z
e
d
R
E
E
p
l
o
t
s
.
T
h
e
s
e
g
r
o
u
p
s
a
r
e
d
i
s
t
i
n
g
u
i
s
h
e
d
f
r
o
m
o
n
e
a
n
o
t
h
e
r
b
y
s
i
g
n
i
f
i
c
a
n
t
c
h
a
n
g
e
s
i
n
4
6
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
h
e
R
E
E
'
s
a
s
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
i
n
c
r
e
a
s
e
s
(
i
n
c
r
e
a
s
i
n
g
S
i
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
)
.
T
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
o
u
p
s
a
r
e
c
l
o
s
e
l
y
a
s
s
o
c
i
a
t
e
d
w
i
t
h
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
o
u
p
s
d
e
f
i
n
e
d
b
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
S
i
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
,
a
s
s
h
o
u
l
d
b
e
e
x
p
e
c
t
e
d
.
R
E
E
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
o
u
p
b
o
u
n
d
a
r
i
e
s
t
y
p
i
c
a
l
l
y
o
c
c
u
r
w
h
e
r
e
s
i
g
n
i
f
i
c
a
n
t
g
a
p
s
o
f
u
p
t
o
4
w
t
%
S
i
o
z
o
c
c
u
r
,
o
r
,
w
h
e
r
e
a
p
p
a
r
e
n
t
g
a
p
s
o
c
c
u
r
d
u
e
t
o
l
o
w
d
a
t
a
p
o
i
n
t
f
r
e
q
u
e
n
c
y
.
F
i
g
u
r
e
1
1
b
s
h
o
w
s
t
h
e
a
p
p
a
r
e
n
t
s
y
s
t
e
m
a
t
i
c
c
h
a
n
g
e
f
r
o
m
t
h
e
l
i
g
h
t
r
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
(
L
R
E
E
)
e
n
r
i
c
h
e
d
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
a
m
p
l
e
s
t
o
t
h
e
l
e
s
s
L
R
E
E
e
n
r
i
c
h
e
d
r
h
y
o
l
i
t
i
c
s
a
m
p
l
e
s
.
A
s
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
i
n
c
r
e
a
s
e
s
,
t
h
e
L
R
E
E
'
s
a
r
e
d
e
p
l
e
t
e
d
a
n
d
t
h
e
n
e
g
a
t
i
v
e
E
u
a
n
o
m
a
l
y
b
e
c
o
m
e
s
m
o
r
e
p
r
o
m
i
n
e
n
t
.
T
h
e
H
R
E
E
'
s
r
e
m
a
i
n
r
e
l
a
t
i
v
e
l
y
c
o
n
s
t
a
n
t
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
f
r
o
m
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
h
e
l
o
w
-
N
b
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
C
o
m
p
a
r
i
s
o
n
o
f
t
h
e
h
i
g
h
—
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
h
o
w
e
v
e
r
,
r
e
v
e
a
l
s
t
h
e
d
e
p
l
e
t
i
o
n
i
n
L
R
E
E
c
o
n
c
e
n
t
r
a
t
i
o
n
,
t
h
e
d
e
e
p
e
r
n
e
g
a
t
i
v
e
E
u
a
n
o
m
a
l
y
,
a
n
d
t
h
e
e
n
r
i
c
h
e
d
H
R
E
E
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
h
e
h
i
g
h
-
N
b
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
s
c
o
m
p
a
r
e
d
t
o
t
h
e
l
o
w
—
N
b
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
T
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
n
o
r
m
a
l
i
z
e
d
t
o
c
h
o
n
d
r
i
t
i
c
m
e
t
e
o
r
i
t
e
a
b
u
n
d
a
n
c
e
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
a
r
e
p
r
e
s
e
n
t
e
d
a
s
S
p
i
d
e
r
g
r
a
m
s
i
n
F
i
g
u
r
e
s
1
2
a
a
n
d
1
2
b
(
a
f
t
e
r
T
h
o
m
p
s
o
n
,
e
t
a
l
.
,
1
9
8
4
)
.
T
h
e
e
l
e
m
e
n
t
s
R
b
,
T
h
,
K
a
n
d
N
b
b
e
h
a
v
e
i
n
c
o
m
p
a
t
i
b
l
y
b
y
i
n
c
r
e
a
s
i
n
g
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
w
i
t
h
i
n
c
r
e
a
s
i
n
g
m
a
g
m
a
t
i
c
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
w
h
i
l
e
t
h
e
r
e
s
t
o
f
t
h
e
e
l
e
m
e
n
t
s
b
e
h
a
v
e
c
o
m
p
a
t
i
b
l
y
a
n
d
e
i
t
h
e
r
d
e
c
r
e
a
s
e
i
n
/

/

/

'

i

.

e

Z

\

I

I

a

I

(

i

'

A

’

/

l

b

/

§

K

3

§

'

3

h

'

i

~

.

’

r

f

'

W

/

é

,

&

!

fl

‘

g

’

\

§

é

”

/

§

\

é

\

/

/

”

x

N

~

*

§

f

1

.

s

e

t

i

r

E

i

d

n

o

h

C

/

k

c

o

R

;

4

/

5

g

:

:

\

:

‘

.

;

,

.

’

t

~

r

.

_

_

 Y

F
i
g
u
r
e
1
2
a
.
c
o
m
p
o
s
i
t
i
o
n
s
p
l
o
t
t
e
d
.
S
p
i
d
e
r
g
r
a
m
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
A
l
l
m
a
g
m
a
t
i
c
L
a
C
a
S
r
P
S
e
r
'
H
f
T
i
n
Y
'
a
a
n
b
'
r
h
K
N
b
\
~
\
,
{
\
1
\
;
~
'
\
3
1
&
\
.
.
'
,
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
l
.
,
.
I
'
7
6
b
»
4
7
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
 
1

0

0

°

I

I

I

I

I

I

fi

I

I

I

I

I

I

I

I

I

I

_

1

I

B

1

T

R

1

'

I

1

K

I

1

I

M

1

1

L

1

I

S

1

I

‘

I

C

1

1

P

1

S

1

Z

I

1

P

H

1

f

1

i

T

1

1

n

Y

Y

b

4
8
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
 
«
\
H
i
g
h
N
b
.
H
i
g
h
5
1
0
,
R
h
y
o
n
t
a
1
0
0
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
I
!
:
1
1
0
I
.
‘
O
C
O
I
:
2
x
1
U
0
a
:
E
1
0
0
/
L
I
.
U
,
_
g
.
_
-
‘
\
s
5
\
3
.
V
D
p
k
g
‘
0
\
‘
z
I
—
I
‘
?
.
\
\
s
s
:
/
1
%
1
'
l
l
l
l
l
l
I
l
I
l
l
l
-
\
\
T
r
a
c
h
y
d
a
c
l
t
e
t
o
m
y
o
u
t
e
d
\
\
-
\
_
1
0
0
’
\
1
:
8
‘
/
‘
\
=
E
x
/
\
~
C
\
’
‘
l
‘
.
-
‘
5
/
/
"
~
“
‘
.
\
-
2
‘
°
4
\
3
e
'
U
0
I
!
I
I
I
I
I
I
I
I
I
I
I
I
I
1
I
I
I
I
E
t
r
a
c
h
y
a
n
d
e
s
i
t
e
Z
1
0
0
E
-
a
3
F
1
2
h
.
2
o
1
0
£
2
0
\
8
U
0
I
:
 
 
 
 
 
 
 
 
 
 
 
 
F
i
g
u
r
e
1
2
b
.
S
p
i
d
e
r
g
r
a
m
s
f
o
r
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
g
r
o
u
p
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
4
9
c
o
n
c
e
n
t
r
a
t
i
o
n
w
i
t
h
i
n
c
r
e
a
s
i
n
g
m
a
g
m
a
t
i
c
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
,
o
r
,
m
a
i
n
t
a
i
n
a
c
o
n
s
t
a
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
(
F
i
g
.
1
2
b
)
.
T
h
e
s
e
e
n
r
i
c
h
m
e
n
t
s
o
r
d
e
p
l
e
t
i
o
n
s
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
s
a
r
e
a
l
s
o
s
h
o
w
n
o
n
t
r
a
c
e
-
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
s
a
n
d
a
r
e
p
r
e
s
e
n
t
e
d
i
n
F
i
g
u
r
e
s
1
3
a
a
n
d
1
3
b
.
T
h
i
s
t
y
p
e
o
f
d
i
a
g
r
a
m
,
i
n
i
t
i
a
l
l
y
u
s
e
d
b
y
H
i
l
d
r
e
t
h
(
1
9
8
1
)
t
o
l
o
o
k
a
t
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
t
h
e
B
i
s
h
o
p
T
u
f
f
,
i
s
u
s
e
d
t
o
s
h
o
w
w
h
e
t
h
e
r
a
p
a
r
t
i
c
u
l
a
r
e
l
e
m
e
n
t
i
s
e
n
r
i
c
h
e
d
o
r
d
e
p
l
e
t
e
d
t
o
w
a
r
d
s
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
r
o
o
f
.
C
a
l
c
u
l
a
t
i
o
n
o
f
t
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
o
r
d
e
p
l
e
t
i
o
n
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
w
a
s
d
e
t
e
r
m
i
n
e
d
b
y
u
s
i
n
g
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
t
h
e
m
o
s
t
m
a
f
i
c
a
n
d
m
o
s
t
f
e
l
s
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
a
m
p
l
e
s
.
T
h
e
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
h
e
m
o
s
t
f
e
l
s
i
c
s
a
m
p
l
e
(
l
o
w
-
N
b
h
i
g
h
—
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
m
p
l
e
R
1
8
-
1
8
,
7
7
.
9
6
w
t
%
S
i
0
2
,
o
r
,
h
i
g
h
-
N
b
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
m
p
l
e
R
8
-
7
7
8
.
0
5
w
t
%
S
i
O
Z
)
w
a
s
d
i
v
i
d
e
d
b
y
t
h
a
t
o
f
t
h
e
m
o
s
t
m
a
f
i
c
s
a
m
p
l
e
(
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
a
m
p
l
e
R
2
1
-
1
3
,
5
6
.
8
0
w
t
%
S
i
0
2
)
(
F
i
g
s
.
1
3
a
,
b
)
.
F
o
r
b
o
t
h
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
s
,
R
b
,
T
h
,
K
a
n
d
N
b
a
r
e
m
o
d
e
r
a
t
e
l
y
t
o
s
i
g
n
i
f
i
c
a
n
t
l
y
e
n
r
i
c
h
e
d
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
(
f
o
r
b
o
t
h
t
h
e
h
i
g
h
-
N
b
a
n
d
l
o
w
-
N
b
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
)
,
a
l
l
o
t
h
e
r
e
l
e
m
e
n
t
s
a
r
e
d
e
p
l
e
t
e
d
(
F
i
g
s
.
1
3
a
,
b
)
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
I
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
R
b
,
N
b
,
T
h
,
Y
b
a
n
d
L
u
i
n
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
a
n
d
Z
n
,
S
r
,
Z
r
,
B
a
,
S
c
,
H
f
,
L
a
a
n
d
E
u
c
o
n
s
i
s
t
e
n
t
l
y
d
e
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
w
i
t
h
3

1

-

1

2

9

/

8

1

-

B

I

R

e

l

p

m

a

S

5
0
R
M
L
o
w
-
N
b
R
h
y
/
R
M
T
r
a
c
h
y
a
n
d
.
1
0
,
,
I
I
I
I
I
I
I
I
I
I
I
I
r
I
I
I
 
 
L
L
l
l
l
 
 
 
L
l
L
l
l
l
l
L
l
l
l
l
l
l
I
 
B
a
R
b
T
h
K
N
b
L
a
C
B
S
I
‘
P
S
I
Z
P
H
f
T
i
n
Y
Y
b
0
.
0
0
1
F
i
g
u
r
e
1
3
a
.
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
c
o
m
p
a
r
i
n
g
t
h
e
l
o
w
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
t
o
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
5
1
 
 
 
R
M
H
i
g
h
-
N
b
R
h
y
/
R
M
T
r
a
c
h
y
a
n
d
.
1
0
:
I
I
I
I
I
I
I
r
I
I
—
I
I
I
I
I
I
E
m
i
Q
-
I
I
a
.
3
c
u
:
m
d
\
1
I
\
J
I
G
3
:
'
'
5
0
5
E
E
m
’
I
H
a
D
.
E
:
—
'
3
I
D
-
I
m
:
0
.
0
0
1
I
I
I
I
I
I
J
I
A
I
I
I
I
I
I
I
 
 
 
B
a
R
b
T
h
K
N
b
L
a
C
e
S
I
‘
P
S
I
I
Z
l
‘
I
-
I
I
T
I
T
D
Y
Y
I
)
F
i
g
u
r
e
1
3
b
.
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
c
o
m
p
a
r
i
n
g
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
t
o
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
5
2
i
n
c
r
e
a
s
i
n
g
S
i
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
(
F
i
g
.
1
0
)
.
Y
,
C
e
,
S
m
a
n
d
T
b
h
o
w
e
v
e
r
,
e
x
h
i
b
i
t
i
n
f
l
e
c
t
i
o
n
s
i
n
t
h
e
d
a
t
a
t
r
e
n
d
s
.
C
h
o
n
d
r
i
t
e
n
o
r
m
a
l
i
z
e
d
r
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
r
e
s
h
o
w
n
i
n
F
i
g
u
r
e
s
1
4
a
a
n
d
1
4
b
.
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
r
e
v
e
a
l
t
h
e
s
y
s
t
e
m
a
t
i
c
c
h
a
n
g
e
o
f
R
E
E
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
t
h
e
L
R
E
E
e
n
r
i
c
h
e
d
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
h
e
l
e
s
s
L
R
E
E
e
n
r
i
c
h
e
d
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
F
i
g
.
1
4
b
)
.
A
s
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
i
n
c
r
e
a
s
e
s
(
i
n
c
r
e
a
s
i
n
g
S
i
0
2
c
o
n
t
e
n
t
)
,
t
h
e
E
u
a
n
o
m
a
l
y
d
e
e
p
e
n
s
w
h
i
c
h
m
o
s
t
l
i
k
e
l
y
r
e
f
l
e
c
t
s
t
h
e
f
r
a
c
t
i
o
n
a
t
i
o
n
o
f
p
l
a
g
i
o
c
l
a
s
e
(
c
f
.
C
o
x
,
e
t
a
l
.
,
1
9
7
9
)
.
T
h
e
H
R
E
E
c
o
n
c
e
n
t
r
a
t
i
o
n
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
r
e
m
a
i
n
s
r
e
l
a
t
i
v
e
l
y
c
o
n
s
t
a
n
t
w
i
t
h
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
.
T
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
n
o
r
m
a
l
i
z
e
d
t
o
c
h
o
n
d
r
i
t
i
c
m
e
t
e
o
r
i
t
e
a
b
u
n
d
a
n
c
e
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
r
e
p
r
e
s
e
n
t
e
d
a
s
S
p
i
d
e
r
g
r
a
m
s
(
a
f
t
e
r
T
h
o
m
p
s
o
n
,
e
t
a
l
.
,
1
9
8
4
)
i
n
F
i
g
u
r
e
1
5
a
a
n
d
1
5
b
.
T
h
e
e
l
e
m
e
n
t
s
R
b
,
T
h
a
n
d
N
b
b
e
h
a
v
e
i
n
c
o
m
p
a
t
i
b
l
y
b
y
i
n
c
r
e
a
s
i
n
g
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
w
i
t
h
i
n
c
r
e
a
s
i
n
g
m
a
g
m
a
t
i
c
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
w
h
i
l
e
t
h
e
r
e
s
t
o
f
t
h
e
e
l
e
m
e
n
t
s
b
e
h
a
v
e
c
o
m
p
a
t
i
b
l
y
a
n
d
e
i
t
h
e
r
d
e
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
w
i
t
h
i
n
c
r
e
a
s
i
n
g
m
a
g
m
a
t
i
c
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
,
o
r
,
m
a
i
n
t
a
i
n
a
c
o
n
s
t
a
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
(
F
i
g
.
1
5
b
)
.
T
h
e
s
e
e
n
r
i
c
h
m
e
n
t
s
o
r
d
e
p
l
e
t
i
o
n
s
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
s
a
r
e
a
l
s
o
s
h
o
w
n
o
n
t
r
a
c
e
-
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
s
a
n
d
a
r
e
p
r
e
s
e
n
t
e
d
i
n
F
i
g
u
r
e
1
6
.
T
h
e
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
h
e
m
o
s
t
f
e
l
s
i
c
s
a
m
p
l
e
(
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
m
p
l
e
A
5
-
3
,
7
7
.
9
6
w
t
%
S
i
O
Z
)
w
a
s
”

I

I

I

I

I

s

I

e

t

i

r

I

I

I

I

I

d

I

!

“

I

I

I

I

I

n

o

h

C

/

k

c

o

R

I

I

I 

l

l

l

l 

I

l

l

I

L

F
i
g
u
r
e
1
4
a
.
5
3
A
M
M
O
N
I
A
T
A
N
K
S
M
E
M
B
E
R
1
0
0
0
 
I
1
0
0
1
0
I
I
I
I
T
I
I
I
I
L
I
I
I
I
I
I
I
I
I
I
I
I
 
I
I
l
l
l
l
l
l
l
 
L
a
C
e
S
m
E
u
T
b
Y
b
L
u
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
A
l
l
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
p
l
o
t
t
e
d
.
I

I

M

A

I

O

M

I

N

I

h

R

I

y

o

A

I

l

i

t

T

I

e

A

t

N

o

I

K

I

H

S

i

M

I

g

h

-

8

E

1

I

M

E

B

I

0

.

R

h

R

I

y

I

I

i

t

e

o

l

l

1

1

I

1
I

1

I

1
I

l

I

r

T

a

c

1

I

h

1
I

a

1
I

t

o

c

l

y

d

1
I

l

I

t

o

R

h

l

I
y

1

I

i

1

I

t

e

o

l

-

-

‘

-

.

1
I

1

I

1

I

1

I

1

I

l
I

I

I

l
F

1
I

l
I

T

r

1
I

a

c

h

1

I

y

a

n

I

I

d

1
I

i

e

s

-

.
—
-

_

:

:

L

b

E

_

-

P

E
.
>
>

.

_

E
3
Z

"

'

-

-

'

:
E
-

;

I

"

-

'

—

—

-
_

-

:
:

.
r

’

.

l

E

“

’

0

0

1

0

0

1

0

1

u

m

1

0

1

1

0

0

*

0

1

"

L

u
d

2
£

u

\

x

I

U
O

0

:

‘

.

B

0

E

\

I

o

U

O

C

u

X

I

0

‘

-

u

O

N

a

2
g

\

x

C

‘

L

:

"

E

'

'

-

‘

.

-

-

-

-

h

E
3

'

-

r

E

E

I

—

'

.

'

1

1

.

:

—

-

é

_

_

-

E

_

_
.

.
_

a

:
r

d

5

;
-

g

.

-

(

J

=

_

_

_
c

.

u

E

.

—

I

-

I

-

—

"

‘

I

e

t

0

—

I

E

Z

d

'

1

.

.

‘

.

_

0

E

2

u

-

.

—

-

1

.

4

.

-

_

-

E

.

4

1

I

:

1

1

I

L

I

I

C

1

1

1

1

I

S

l

u

E

l

I

b

T

1

l

1

1

1

b

Y

L

u

5
4
 
 
 
 
 
 
 
 
 
 
 
F
i
g
u
r
e
1
4
b
.
R
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
p
l
o
t
f
o
r
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
g
r
o
u
p
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
5
5
A
M
M
O
N
I
A
T
A
N
K
S
M
E
M
B
E
R
1
0
0
0
 
 
r
I
j
1
0
0
I
n
I
3
i
f
«
a
1
0
Z
"
U
C
O
‘
C
Q
X
o
1
O
I
:
 
_
I
I
I
I
I
I
1
,
1
1
1
1
l
1
I
I
I
1
I
I
1
B
a
R
b
T
h
K
N
b
L
a
C
a
S
r
P
S
e
r
H
f
T
1
T
b
Y
Y
b
F
i
g
u
r
e
1
5
a
.
S
p
i
d
e
r
g
r
a
m
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
A
l
l
c
o
m
p
o
s
i
t
i
o
n
s
p
l
o
t
t
e
d
.
‘

B

a

R

]

b

T

h

l

K

”

b

i

t

-

a

l

e

C

S

r

l

P

r

l

e

S

m

T

H

i

f

I

b

T

[

Y

[

Y

b

5
6
A
M
M
O
N
I
A
T
A
N
K
S
M
E
M
B
E
R
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
°
°
°
=
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
_
E
'
R
h
y
o
l
i
t
e
t
o
H
I
g
n
-
S
I
O
,
R
h
y
o
l
i
t
e
:
1
0
0
5
-
—
=
3
:
4
d
—
L
-
2
0
1
0
.
.
=
U
u
-
d
\
'
-
d
x
I
—
U
I
—
—
I
o
-
C
.
-
I
E
-
—
3
1
1
1
1
1
1
1
1
1
1
1
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
1
0
0
c
I
—
U
I
—
d
h
—
L
_
U
C
I
-
O
5
x
:
u
h
0
.
.
m
L
—
1
E
-
I
1
0
0
0
u
v
.
I
.
3
0
1
0
g
d
0
d
\
d
x
d
U
o
-
I
:
I
1
.
.
:
 
F
i
g
u
r
e
1
5
b
.
S
p
i
d
e
r
g
r
a
m
s
f
o
r
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
g
r
o
u
p
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
5

7

-

5

A

/

3

-

5

A

e

l

p

m

a

S

0

0

0

1

I

I

_

L

I

I

I

L

I

I

L

I

I

I

I

I

I

5
7
A
T
H
i
-
S
i
O
B
R
h
y
/
A
T
T
r
a
c
h
y
a
n
d
.
1
0
'
I
I
I
I
I
I
I
I
I
I
I
I
I
I
 
I
I
I
I
I
1
L
1
1
A
l
l
1
A
1
l
l
l
I
j
“
L
A
I
I
l
l
1
 
 
 
B
a
R
b
T
h
K
M
J
L
a
C
e
S
P
P
S
I
Z
P
H
f
T
I
T
b
Y
Y
b
F
i
g
u
r
e
1
6
.
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
p
l
o
t
c
o
m
p
a
r
i
n
g
t
h
e
h
i
g
h
—
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
n
d
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
F
i
c
 
I

I

I

I

I

3

-

5

A

/

8

1

-

8

1

R

e

l

p

m

a

S

l

L

I

l

l

l

l

l

l 

5
8
R
M
L
o
w
-
N
b
R
h
y
/
A
T
H
i
-
S
i
O
E
R
h
y
1
0
I
I
I
I
I
I
I
F
l
I
I
I
I
I
I
I
 
 
 
l
l
L
i
l
l
l
l
 
 
0
0
0
1
I
I
I
I
I
I
I
I
I
I
I
I
I
J
l
I
B
a
R
b
T
h
K
N
b
L
a
C
e
S
r
P
S
e
r
H
f
T
i
n
Y
Y
b
F
i
g
u
r
e
1
7
a
.
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
p
l
o
t
c
o
m
p
a
r
i
n
g
t
h
e
T
o
w
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
t
o
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
5
9
 
R
M
H
i
-
N
b
R
h
y
/
A
T
H
i
-
S
i
O
E
R
h
y
 
1
0
:
l
I
l
I
I
I
I
I
I
I
I
I
I
I
I
:
1
m
“
\
a
‘
I
1
0
;
5
<
1
:
:
1
\
h
d
'
\
I
.
d
I
F
1
a
n
a
n
:
'
‘
=
(
D
:
I
r
—
I
-
.
a
I
I
I
E
(
'
0
L
'
T
:
m
E
I
~
:
I
.
J
o
0
0
1
I
l
I
I
I
L
I
I
I
I
p
I
I
I
I
l
 
 
 
B
a
R
b
T
h
K
N
b
L
a
C
a
S
I
‘
P
S
I
I
Z
P
H
f
T
I
T
b
Y
Y
b
F
i
g
u
r
e
1
7
b
.
T
r
a
c
e
e
l
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
p
l
o
t
c
o
m
p
a
r
i
n
g
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
t
o
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
6
0
d
i
v
i
d
e
d
b
y
t
h
a
t
o
f
t
h
e
m
o
s
t
m
a
f
i
c
s
a
m
p
l
e
(
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
a
m
p
l
e
A
5
-
7
5
,
5
9
.
4
5
w
t
%
S
i
O
Z
)
.
F
r
o
m
t
h
e
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
,
R
b
,
T
h
,
K
,
N
b
,
Y
a
n
d
Y
b
a
r
e
m
o
d
e
r
a
t
e
l
y
t
o
s
i
g
n
i
f
i
c
a
n
t
l
y
e
n
r
i
c
h
e
d
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
,
a
l
l
o
t
h
e
r
e
l
e
m
e
n
t
s
a
r
e
d
e
p
l
e
t
e
d
(
F
i
g
.
1
6
)
.
E
l
e
m
e
n
t
a
l
b
e
h
a
v
i
o
r
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
m
i
m
i
c
s
t
h
e
l
o
w
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
B
a
,
N
b
a
n
d
S
r
(
F
i
g
s
.
l
7
a
,
b
)
.
B
a
a
n
d
N
b
a
r
e
d
e
p
l
e
t
e
d
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
h
i
l
e
S
r
i
s
e
n
r
i
c
h
e
d
r
e
l
a
t
i
v
e
t
o
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
F
i
g
.
1
7
a
)
.
P
E
T
R
O
G
R
A
P
H
!
A
N
D
M
I
N
E
R
A
L
C
H
E
M
I
S
T
R
Y
O
v
e
r
v
i
e
w
P
e
t
r
o
g
r
a
p
h
y
T
w
e
n
t
y
-
f
i
v
e
t
h
i
n
s
e
c
t
i
o
n
s
f
r
o
m
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
n
i
n
e
t
e
e
n
t
h
i
n
s
e
c
t
i
o
n
s
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
e
r
e
e
x
a
m
i
n
e
d
p
e
t
r
o
g
r
a
p
h
i
c
a
l
l
y
.
O
f
t
h
e
e
x
a
m
i
n
e
d
t
h
i
n
s
e
c
t
i
o
n
s
,
m
o
d
e
s
o
f
s
e
v
e
n
t
e
e
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
t
h
i
n
s
e
c
t
i
o
n
s
a
n
d
e
l
e
v
e
n
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
t
h
i
n
s
e
c
t
i
o
n
s
w
e
r
e
d
e
t
e
r
m
i
n
e
d
.
T
h
e
m
o
d
e
s
o
f
t
h
i
n
s
e
c
t
i
o
n
s
t
h
a
t
w
e
r
e
e
i
t
h
e
r
t
o
o
s
m
a
l
l
o
r
t
o
o
b
a
d
l
y
p
l
u
c
k
e
d
d
u
r
i
n
g
g
r
i
n
d
i
n
g
w
e
r
e
n
o
t
d
e
t
e
r
m
i
n
e
d
.
M
o
d
a
l
d
a
t
a
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
a
r
e
g
i
v
e
n
i
n
T
a
b
l
e
2
.
O
n
l
y
o
n
e
t
h
i
n
s
e
c
t
i
o
n
p
e
r
p
u
m
i
c
e
s
a
m
p
l
e
w
a
s
e
x
a
m
i
n
e
d
w
i
t
h
t
h
e
t
o
t
a
l
n
u
m
b
e
r
o
f
p
o
i
n
t
c
o
u
n
t
s
r
a
n
g
i
n
g
f
r
o
m
5
0
0
t
o
1
0
0
0
p
e
r
s
e
c
t
i
o
n
.
C
a
u
t
i
o
n
s
h
o
u
l
d
b
e
e
x
e
r
c
i
s
e
d
w
h
e
n
i
n
t
e
r
p
r
e
t
i
n
g
t
h
e
m
o
d
a
l
d
a
t
a
d
u
e
t
o
t
h
e
s
m
a
l
l
n
u
m
b
e
r
o
f
t
h
i
n
s
e
c
t
i
o
n
s
a
n
a
l
y
z
e
d
,
t
h
e
l
o
w
n
u
m
b
e
r
o
f
c
o
u
n
t
e
d
p
o
i
n
t
s
a
n
d
t
h
e
v
e
s
i
c
u
l
a
r
n
a
t
u
r
e
o
f
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
h
i
c
h
l
o
w
e
r
s
a
b
s
o
l
u
t
e
p
h
e
n
o
c
r
y
s
t
a
b
u
n
d
a
n
c
e
s
p
e
r
t
h
i
n
s
e
c
t
i
o
n
.
T
e
x
t
u
r
a
l
d
a
t
a
r
e
l
a
t
i
n
g
t
o
r
e
s
o
r
p
t
i
o
n
o
f
p
h
e
n
o
c
r
y
s
t
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
i
s
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
3
.
P
h
e
n
o
c
r
y
s
t
a
n
d
G
l
a
s
s
C
h
e
m
i
s
t
r
y
T
o
r
e
c
o
n
s
t
r
u
c
t
t
h
e
m
i
n
e
r
a
l
o
g
i
c
a
s
s
e
m
b
l
a
g
e
s
o
f
t
h
e
m
a
g
m
a
t
y
p
e
s
p
r
e
s
e
n
t
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
s
y
s
t
e
m
,
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
e
r
e
s
e
l
e
c
t
e
d
f
o
r
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
i
s
6
1
6
2
 
 
 
 
 
T
A
B
L
E
2
.
M
o
d
a
l
p
e
t
r
o
g
r
a
p
h
y
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
N
T
}
;
M
T
/
D
R
E
1
P
O
I
N
T
S
A
M
P
L
E
S
i
O
2
P
L
G
S
A
N
Q
T
Z
B
I
O
H
R
N
C
P
X
I
L
T
O
T
A
L
A
P
A
C
O
U
N
T
S
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
R
2
3
-
2
7
5
7
1
0
.
3
-
-
3
.
0
6
.
4
-
1
.
7
2
1
.
4
-
1
0
0
0
R
2
3
-
T
7
5
9
1
8
.
4
~
-
2
.
2
6
.
7
-
2
.
4
2
9
.
7
-
1
0
0
0
R
2
3
-
2
4
6
0
1
5
.
6
-
-
1
.
7
5
.
0
0
.
1
0
.
9
2
3
.
3
0
.
9
1
0
0
0
R
I
I
-
9
6
T
R
8
-
4
5
6
6
1
5
.
9
*
—
-
0
.
8
t
r
0
.
4
0
.
8
1
7
.
9
0
.
4
1
0
0
0
R
8
—
2
3
6
7
R
8
-
2
5
6
7
2
8
.
0
*
-
-
2
.
8
—
0
.
7
0
.
8
3
2
.
3
-
1
0
0
0
R
8
—
3
9
6
7
1
3
.
9
*
-
—
2
.
1
-
0
.
1
0
.
6
1
6
.
7
-
1
0
0
0
R
8
-
2
4
-
T
6
8
2
0
.
7
*
-
-
3
.
0
-
0
.
1
0
.
5
2
4
.
6
-
1
0
0
0
R
8
-
2
6
6
8
R
T
T
-
z
6
8
1
1
.
5
1
3
.
1
-
1
.
5
-
0
.
3
0
.
3
2
6
.
7
-
1
0
0
0
R
2
5
-
2
1
-
1
6
8
7
.
1
.
9
-
1
.
7
-
0
.
4
0
.
8
1
2
.
6
-
1
0
0
0
R
8
—
4
4
6
9
7
.
1
0
.
8
—
1
.
6
-
t
r
0
.
1
9
.
6
—
1
0
0
0
R
2
3
-
4
6
9
R
2
3
-
l
3
7
0
7
.
4
5
.
8
1
.
0
2
0
t
r
0
.
5
0
.
7
1
7
.
5
-
1
0
0
0
R
T
l
-
3
7
5
R
I
B
-
2
7
5
2
.
4
0
.
1
2
.
3
0
.
1
-
-
t
r
4
.
9
-
1
0
0
0
R
T
l
-
7
7
6
0
.
4
5
.
5
3
.
7
t
r
t
r
-
0
.
3
9
.
9
-
1
0
0
0
R
2
3
-
2
2
7
6
R
2
1
-
4
4
7
6
2
.
6
2
.
8
T
3
0
.
4
—
t
r
0
.
3
7
.
4
-
1
0
0
0
R
T
8
-
3
7
7
4
.
8
4
.
8
T
7
0
.
2
-
-
t
r
1
1
.
5
-
1
0
0
0
R
I
B
-
8
7
7
R
T
8
-
I
6
7
7
0
.
6
6
.
8
6
.
2
0
.
3
—
-
0
.
2
1
4
.
1
-
1
0
0
0
R
2
1
-
4
0
7
8
1
.
8
*
t
r
t
r
-
—
0
.
2
2
.
0
-
1
0
0
0
R
I
B
-
T
7
8
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
A
5
-
7
5
5
9
2
1
.
5
4
0
—
2
.
6
6
-
1
.
2
0
1
.
2
0
2
6
.
6
0
-
1
0
0
0
A
5
-
6
9
6
1
2
2
.
3
1
*
-
-
2
.
5
0
-
0
.
1
9
0
.
1
9
2
4
.
8
1
-
1
0
0
0
A
5
-
6
3
6
2
1
9
.
2
9
*
-
-
2
.
5
0
-
0
.
7
1
1
.
0
7
2
3
.
5
7
-
5
1
4
A
5
-
3
l
6
3
A
5
-
7
2
6
4
1
1
.
2
6
.
3
-
2
.
3
0
-
-
0
.
3
3
1
5
.
1
9
-
5
0
0
A
S
-
3
O
6
5
1
4
.
8
3
4
.
6
5
-
2
.
3
3
-
0
.
2
9
t
r
2
2
.
1
0
—
5
0
2
A
5
-
7
T
6
7
1
2
.
5
0
1
0
.
4
7
-
0
.
5
8
-
-
0
.
8
7
2
4
.
4
2
-
5
0
3
A
Z
T
-
T
6
9
A
5
-
5
8
6
9
6
.
2
5
7
.
0
3
-
0
.
2
6
-
0
.
2
6
t
r
1
3
.
8
0
-
S
O
T
A
5
-
9
7
0
7
.
5
8
1
.
6
9
-
0
.
2
8
-
-
t
r
9
.
5
5
-
5
0
0
A
4
-
7
0
7
0
A
5
—
3
5
7
3
4
.
8
3
3
.
7
5
-
0
.
2
7
-
-
t
r
8
.
8
5
-
5
0
0
A
5
-
6
8
7
4
1
.
4
7
6
.
9
9
-
t
r
-
-
t
r
8
.
4
6
-
4
5
8
A
Z
T
-
S
7
5
A
5
-
2
9
7
7
2
.
7
9
1
.
4
0
1
.
1
2
-
-
-
t
r
5
.
3
]
-
5
0
0
A
5
-
7
9
7
7
A
5
-
3
7
8
A
2
1
-
1
8
7
8
A
S
-
S
6
7
8
 
*
A
T
T
f
e
l
d
s
p
a
r
c
o
u
n
t
e
d
a
s
p
l
a
g
i
o
c
l
a
s
e
T
=
D
R
E
=
D
e
n
s
e
r
o
c
k
e
q
u
i
v
a
l
e
n
t
 
(
5
3
T
A
B
L
E
3
.
T
e
x
t
u
r
a
l
r
e
l
a
t
i
o
n
s
h
i
p
s
o
f
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
T
i
u
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
 
1
1
1
%
M
T
/
1
3
1
2
1
:
1
S
A
M
P
L
E
$
1
0
2
P
L
G
S
A
N
Q
T
Z
B
I
D
H
R
N
c
p
x
I
L
T
O
T
A
L
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
 
 
1
2
2
3
-
2
7
5
7
O
O
O
O
2
1
.
4
1
2
2
3
-
1
7
5
9
o
0
O
O
2
9
.
7
1
2
2
3
-
2
4
6
0
Q
o
o
8
8
2
3
.
3
2
2
9
1
2
2
;
’
'
O
8
1
7
9
1
2
8
-
2
3
6
7
3
z
3
8
8
1
3
3
3
2
3
8
‘
o
8
O
1
2
'
?
R
8
-
2
4
-
1
6
8
o
3
8
O
8
2
4
.
6
R
8
-
2
6
6
8
o
8
o
o
0
1
2
1
1
-
2
6
8
O
0
O
O
2
6
.
7
1
2
2
5
-
2
1
-
2
6
8
0
o
o
o
o
1
3
.
2
R
8
-
4
4
6
9
.
1
2
2
3
-
4
6
9
8
3
8
8
8
1
2
2
3
-
1
3
7
0
0
0
0
8
O
O
8
1
7
.
5
1
2
1
1
-
3
7
5
R
1
8
-
2
7
5
8
8
8
O
O
4
.
9
1
2
1
1
-
7
7
6
O
0
O
O
O
O
9
.
9
1
2
2
3
—
2
2
7
6
O
O
O
O
0
1
2
2
1
-
4
4
7
6
O
O
O
O
O
O
.
4
1
2
1
8
-
3
7
7
o
o
o
8
o
1
1
.
5
1
2
1
8
-
8
7
7
O
O
0
1
2
1
8
-
1
6
7
7
o
o
o
O
o
1
4
.
1
1
2
2
1
-
4
0
7
8
o
8
o
o
O
2
.
R
1
8
—
1
7
8
o
O
O
A
l
u
n
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
1
1
5
-
7
5
5
9
O
O
(
I
O
O
2
6
.
6
0
1
2
8
2
;
:
°
0
0
9
1
-
2
;
A
5
-
3
1
6
3
g
g
g
g
C
8
)
1
5
1
9
A
5
-
7
2
6
4
.
A
5
8
0
6
5
o
o
o
o
O
2
2
.
1
0
A
5
-
7
1
6
7
(
D
0
O
O
O
2
4
.
4
2
A
2
1
-
1
6
9
o
g
0
O
O
2
2
'
?
$
3
0
O
8
8
‘
3
2
?
A
4
-
7
o
7
0
8
8
O
8
O
A
5
-
3
5
7
3
0
O
O
O
O
O
8
.
8
5
A
5
-
6
8
7
4
Q
o
o
o
o
8
.
4
6
1
1
2
1
-
5
7
5
8
8
o
o
A
5
-
2
9
7
7
o
g
o
5
.
3
1
A
5
-
7
9
7
7
o
O
O
O
A
5
-
3
7
8
o
O
O
O
A
2
1
-
1
8
7
8
o
O
8
8
A
5
-
5
6
7
8
O
O
O
 
0
:
F
r
e
s
h
0
=
$
1
.
r
e
s
o
r
b
e
d
t
o
f
r
e
s
h
Q
:
S
t
r
o
n
g
l
y
r
e
s
o
r
b
e
d
1
=
D
e
n
s
e
r
o
c
k
e
q
u
i
v
a
l
e
n
t
 
6
4
s
u
c
h
t
h
a
t
t
h
e
f
u
l
l
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
a
s
d
e
l
i
n
e
a
t
e
d
b
y
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
a
n
a
l
y
s
e
s
w
a
s
r
e
p
r
e
s
e
n
t
e
d
.
T
w
e
l
v
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
r
o
m
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
i
r
t
e
e
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
e
r
e
s
e
l
e
c
t
e
d
f
o
r
a
n
a
l
y
s
i
s
w
i
t
h
t
h
e
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
p
l
a
g
i
o
c
l
a
s
e
,
s
a
n
i
d
i
n
e
,
b
i
o
t
i
t
e
,
C
l
i
n
o
p
y
r
o
x
e
n
e
,
o
r
t
h
o
p
y
r
o
x
e
n
e
,
h
o
r
n
b
l
e
n
d
e
,
m
a
n
g
a
n
o
a
n
f
a
y
a
l
i
t
e
a
n
d
m
a
g
n
e
t
i
t
e
/
i
l
m
e
n
i
t
e
a
r
e
p
r
e
s
e
n
t
e
d
i
n
A
p
p
e
n
d
i
x
4
.
T
h
e
p
e
t
r
o
g
r
a
p
h
y
a
n
d
c
h
e
m
i
s
t
r
y
o
f
e
a
c
h
o
f
t
h
e
a
b
o
v
e
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
w
i
l
l
b
e
d
i
s
c
u
s
s
e
d
i
n
d
e
t
a
i
l
b
e
l
o
w
.
S
e
v
e
r
a
l
o
t
h
e
r
t
r
a
c
e
p
h
a
s
e
s
s
u
c
h
a
s
c
h
e
v
k
i
n
i
t
e
,
s
p
h
e
n
e
,
a
p
a
t
i
t
e
,
a
n
d
m
o
n
a
z
i
t
e
w
e
r
e
o
b
s
e
r
v
e
d
b
u
t
n
o
t
a
n
a
l
y
z
e
d
.
T
h
e
s
e
p
h
a
s
e
s
a
r
e
d
i
s
c
u
s
s
e
d
c
o
l
l
e
c
t
i
v
e
l
y
i
n
t
h
e
s
e
c
t
i
o
n
o
n
t
r
a
c
e
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
.
F
e
l
d
s
p
a
r
P
e
t
r
o
g
r
a
p
h
y
P
h
e
n
o
c
r
y
s
t
s
o
f
p
l
a
g
i
o
c
l
a
s
e
a
n
d
s
a
n
i
d
i
n
e
a
r
e
a
b
u
n
d
a
n
t
w
i
t
h
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
(
T
a
b
l
e
2
)
.
P
l
a
g
i
o
c
l
a
s
e
i
s
p
r
e
s
e
n
t
t
h
r
o
u
g
h
o
u
t
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
o
f
b
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S
a
n
i
d
i
n
e
h
o
w
e
v
e
r
,
i
s
a
b
s
e
n
t
a
s
a
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
b
o
t
h
m
e
m
b
e
r
s
.
S
a
n
i
d
i
n
e
f
i
r
s
t
a
p
p
e
a
r
s
i
n
s
a
m
p
l
e
s
w
i
t
h
a
S
i
0
2
c
o
n
t
e
n
t
o
f
6
1
w
t
%
a
n
d
t
h
e
n
r
e
m
a
i
n
s
a
s
a
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
t
h
r
o
u
g
h
o
u
t
t
h
e
m
a
g
m
a
t
i
c
s
e
q
u
e
n
c
e
i
n
b
o
t
h
m
e
m
b
e
r
s
.
T
h
e
f
e
l
d
s
p
a
r
s
d
o
n
o
t
e
x
h
i
b
i
t
a
n
y
e
v
i
d
e
n
c
e
6
5
o
f
s
a
u
s
s
e
r
i
t
i
z
a
t
i
o
n
o
r
s
e
r
i
c
i
t
i
c
a
l
t
e
r
a
t
i
o
n
.
S
e
c
o
n
d
a
r
y
c
a
r
b
o
n
a
t
e
i
s
m
o
r
e
c
o
m
m
o
n
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
n
d
m
a
y
a
t
t
i
m
e
s
s
u
r
r
o
u
n
d
t
h
e
f
e
l
d
s
p
a
r
s
,
a
n
d
r
a
r
e
l
y
,
m
a
y
f
i
l
l
f
r
a
c
t
u
r
e
s
i
n
t
h
e
g
r
a
i
n
s
.
M
o
d
a
l
l
y
,
f
e
l
d
s
p
a
r
s
a
r
e
t
h
e
m
o
s
t
u
b
i
q
u
i
t
o
u
s
p
h
a
s
e
s
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
w
i
t
h
t
h
e
h
i
g
h
e
s
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
c
c
u
r
r
i
n
g
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
a
n
d
t
r
a
c
h
y
d
a
c
i
t
e
(
u
p
t
o
2
8
%
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
2
2
%
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
)
(
T
a
b
l
e
2
)
.
T
h
e
a
b
s
o
l
u
t
e
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
f
e
l
d
s
p
a
r
s
t
e
a
d
i
l
y
d
e
c
r
e
a
s
e
s
t
o
a
p
p
r
o
x
i
m
a
t
e
l
y
2
%
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
e
a
c
h
m
e
m
b
e
r
.
T
h
e
r
a
t
i
o
o
f
p
l
a
g
i
o
c
l
a
s
e
t
o
s
a
n
i
d
i
n
e
i
s
q
u
i
t
e
v
a
r
i
a
b
l
e
t
h
r
o
u
g
h
o
u
t
b
o
t
h
m
e
m
b
e
r
s
.
T
y
p
i
c
a
l
l
y
h
o
w
e
v
e
r
,
p
l
a
g
i
o
c
l
a
s
e
d
o
m
i
n
a
t
e
s
i
n
t
h
e
m
o
r
e
m
a
f
i
c
p
u
m
i
c
e
c
o
m
p
o
s
i
t
i
o
n
s
w
h
i
l
e
s
a
n
i
d
i
n
e
d
o
m
i
n
a
t
e
s
i
n
t
h
e
r
h
y
o
l
i
t
e
a
n
d
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
T
h
e
v
a
r
i
a
b
i
l
i
t
y
i
n
t
h
e
f
e
l
d
s
p
a
r
r
a
t
i
o
i
s
d
u
e
t
o
a
c
o
m
b
i
n
a
t
i
o
n
o
f
d
i
f
f
i
c
u
l
t
y
i
n
p
e
t
r
o
g
r
a
p
h
i
c
i
d
e
n
t
i
f
i
c
a
t
i
o
n
o
f
u
n
t
w
i
n
e
d
p
l
a
g
i
o
c
l
a
s
e
v
e
r
s
u
s
s
a
n
i
d
i
n
e
,
a
n
d
,
i
n
t
h
e
s
m
a
l
l
n
u
m
b
e
r
o
f
t
h
i
n
s
e
c
t
i
o
n
s
e
x
a
m
i
n
e
d
.
T
e
x
t
u
r
a
l
l
y
,
p
l
a
g
i
o
c
l
a
s
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
r
a
n
g
e
s
f
r
o
m
f
i
n
e
g
r
a
i
n
e
d
(
0
.
2
5
m
m
t
o
1
m
m
)
,
u
n
z
o
n
e
d
,
e
u
h
e
d
r
a
l
p
h
e
n
o
c
r
y
s
t
s
t
o
z
o
n
e
d
,
m
e
d
i
u
m
g
r
a
i
n
e
d
(
1
m
m
t
o
4
.
2
5
m
m
)
,
s
l
i
g
h
t
l
y
t
o
p
e
r
v
a
s
i
v
e
l
y
r
e
s
o
r
b
e
d
p
h
e
n
o
c
r
y
s
t
s
.
Z
o
n
i
n
g
i
s
c
o
m
m
o
n
i
n
t
h
e
m
e
d
i
u
m
g
r
a
i
n
e
d
p
l
a
g
i
o
c
l
a
s
e
g
r
a
i
n
s
a
n
d
m
a
y
b
e
n
o
r
m
a
l
,
o
s
c
i
l
l
a
t
o
r
y
,
o
r
r
a
r
e
l
y
r
e
v
e
r
s
e
i
n
n
a
t
u
r
e
.
A
p
a
t
i
t
e
a
n
d
f
l
u
i
d
/
g
l
a
s
s
i
n
c
l
u
s
i
o
n
s
a
r
e
c
o
m
m
o
n
t
o
6
6
a
b
u
n
d
a
n
t
i
n
t
h
e
p
l
a
g
i
o
c
l
a
s
e
p
h
e
n
o
c
r
y
s
t
s
.
S
a
n
i
d
i
n
e
t
y
p
i
c
a
l
l
y
o
c
c
u
r
s
a
s
m
e
d
i
u
m
g
r
a
i
n
e
d
(
1
m
m
t
o
4
.
5
m
m
)
,
f
r
e
s
h
t
o
p
e
r
v
a
s
i
v
e
l
y
r
e
s
o
r
b
e
d
p
h
e
n
o
c
r
y
s
t
s
.
C
a
r
l
s
b
a
d
t
w
i
n
s
a
r
e
c
o
m
m
o
n
i
n
s
a
n
i
d
i
n
e
w
h
i
l
e
i
n
c
l
u
s
i
o
n
s
o
f
a
p
a
t
i
t
e
o
r
o
t
h
e
r
p
h
a
s
e
s
a
r
e
e
x
t
r
e
m
e
l
y
r
a
r
e
.
R
e
s
o
r
p
t
i
o
n
o
f
t
h
e
f
e
l
d
s
p
a
r
s
(
p
r
e
d
o
m
i
n
a
n
t
l
y
p
l
a
g
i
o
c
l
a
s
e
,
r
a
r
e
l
y
s
a
n
i
d
i
n
e
)
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
p
e
r
v
a
s
i
v
e
i
n
t
h
e
l
a
r
g
e
r
p
h
e
n
o
c
r
y
s
t
s
i
z
e
f
r
a
c
t
i
o
n
t
h
a
t
o
c
c
u
r
s
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
i
t
h
c
o
m
p
o
s
i
t
i
o
n
s
r
a
n
g
i
n
g
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
h
r
o
u
g
h
t
r
a
c
h
y
d
a
c
i
t
e
(
T
a
b
l
e
3
)
.
T
h
e
s
m
a
l
l
e
r
s
i
z
e
f
r
a
c
t
i
o
n
o
f
f
e
l
d
s
p
a
r
i
n
t
h
e
s
e
s
a
m
p
l
e
s
i
s
u
s
u
a
l
l
y
n
o
t
r
e
s
o
r
b
e
d
.
T
h
e
o
n
l
y
e
x
c
e
p
t
i
o
n
t
o
t
h
i
s
p
h
e
n
o
m
e
n
a
o
c
c
u
r
s
i
n
t
h
e
m
o
s
t
m
a
f
i
c
o
f
a
l
l
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
,
s
a
m
p
l
e
R
2
3
-
2
7
(
5
7
w
t
%
S
i
O
Z
)
.
I
n
t
h
i
s
s
a
m
p
l
e
,
t
h
e
l
a
r
g
e
f
e
l
d
s
p
a
r
g
r
a
i
n
s
a
r
e
n
o
t
r
e
s
o
r
b
e
d
.
F
e
l
d
s
p
a
r
s
p
r
e
s
e
n
t
i
n
t
h
e
r
h
y
o
l
i
t
i
c
s
a
m
p
l
e
s
(
>
7
0
w
t
%
S
i
O
Z
)
a
r
e
d
o
m
i
n
a
n
t
l
y
f
r
e
s
h
,
m
e
d
i
u
m
g
r
a
i
n
e
d
,
s
l
i
g
h
t
l
y
z
o
n
e
d
,
a
n
d
b
r
o
k
e
n
.
V
e
r
y
f
e
w
o
f
t
h
e
s
e
f
e
l
d
s
p
a
r
s
s
h
o
w
e
v
i
d
e
n
c
e
o
f
r
e
s
o
r
p
t
i
o
n
.
T
e
x
t
u
r
a
l
l
y
,
f
e
l
d
s
p
a
r
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
d
i
f
f
e
r
f
r
o
m
t
h
o
s
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
P
l
a
g
i
o
c
l
a
s
e
p
h
e
n
o
c
r
y
s
t
s
a
r
e
t
y
p
i
c
a
l
l
y
l
a
r
g
e
r
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
(
1
m
m
t
o
4
.
5
m
m
)
w
i
t
h
t
h
e
f
i
n
e
-
g
r
a
i
n
e
d
s
i
z
e
f
r
a
c
t
i
o
n
b
e
i
n
g
n
o
t
i
c
e
a
b
l
y
u
n
c
o
m
m
o
n
t
o
a
b
s
e
n
t
.
Z
o
n
i
n
g
i
n
t
h
e
p
l
a
g
i
o
c
l
a
s
e
f
e
l
d
s
p
a
r
s
i
n
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
m
a
y
b
e
n
o
r
m
a
l
,
o
s
c
i
l
l
a
t
o
r
y
,
o
r
r
a
r
e
l
y
r
e
v
e
r
s
e
i
n
n
a
t
u
r
e
.
B
o
t
h
6
7
p
l
a
g
i
o
c
l
a
s
e
a
n
d
s
a
n
i
d
i
n
e
e
x
h
i
b
i
t
m
o
r
e
p
e
r
v
a
s
i
v
e
r
e
s
o
r
p
t
i
o
n
f
r
o
m
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
h
r
o
u
g
h
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
t
h
a
n
d
o
t
h
e
f
e
l
d
s
p
a
r
s
i
n
t
h
e
s
a
m
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
P
l
a
g
i
o
c
l
a
s
e
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
c
c
u
r
s
m
o
r
e
c
o
m
m
o
n
l
y
a
s
g
l
o
m
e
r
o
c
r
y
s
t
s
t
h
a
n
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
B
i
o
t
i
t
e
,
C
l
i
n
o
p
y
r
o
x
e
n
e
,
a
n
d
F
e
-
T
i
o
x
i
d
e
s
a
r
e
c
o
m
m
o
n
l
y
f
o
u
n
d
i
n
a
s
s
o
c
i
a
t
i
o
n
i
n
t
h
e
g
l
o
m
e
r
o
c
r
y
s
t
s
.
A
p
a
t
i
t
e
a
n
d
f
l
u
i
d
/
g
l
a
s
s
i
n
c
l
u
s
i
o
n
s
a
r
e
r
a
r
e
t
o
a
b
u
n
d
a
n
t
.
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
T
h
e
p
l
a
g
i
o
c
l
a
s
e
f
e
l
d
s
p
a
r
s
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
h
a
v
e
a
l
a
r
g
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
.
W
i
t
h
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
t
h
e
p
l
a
g
i
o
c
l
a
s
e
n
o
r
m
a
t
i
v
e
c
o
m
p
o
s
i
t
i
o
n
s
f
o
r
p
h
e
n
o
c
r
y
s
t
c
o
r
e
s
a
r
e
a
s
h
i
g
h
a
s
A
n
7
7
w
h
e
r
e
a
s
p
h
e
n
o
c
r
y
s
t
e
d
g
e
c
o
m
p
o
s
i
t
i
o
n
s
r
a
n
g
e
f
r
o
m
A
n
5
2
t
o
A
n
1
3
b
a
s
e
d
o
n
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
(
F
i
g
s
.
1
8
,
1
9
)
.
S
a
n
i
d
i
n
e
p
h
e
n
o
c
r
y
s
t
s
a
l
s
o
e
x
h
i
b
i
t
a
l
a
r
g
e
r
a
n
g
e
i
n
c
o
m
p
o
s
i
t
i
o
n
.
E
d
g
e
c
o
m
p
o
s
i
t
i
o
n
s
r
a
n
g
e
f
r
o
m
O
r
6
5
C
n
o
.
2
t
o
O
r
4
7
C
n
2
.
2
w
h
i
l
e
c
o
r
e
c
o
m
p
o
s
i
t
i
o
n
s
r
a
n
g
e
f
r
o
m
O
r
6
5
C
n
0
3
t
o
O
r
5
5
C
n
3
.
4
(
F
i
g
s
.
1
8
,
1
9
)
.
I
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
c
e
l
s
i
a
n
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
s
a
n
i
d
i
n
e
p
h
e
n
o
c
r
y
s
t
s
a
r
e
d
i
r
e
c
t
l
y
c
o
r
r
e
l
a
t
e
d
w
i
t
h
t
h
e
a
n
o
r
t
h
i
t
e
c
o
n
t
e
n
t
(
F
i
g
.
2
0
a
)
.
C
e
l
s
i
a
n
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
a
n
i
d
i
n
e
6
8
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
 
 
 
 
A
n
 
 
 
G
r
a
i
n
C
e
n
t
e
r
s
 
A
b
O
r
F
i
g
u
r
e
l
8
.
A
)
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
a
s
e
d
o
n
e
l
e
c
t
r
o
n
m
i
c
r
O
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
g
r
a
i
n
e
d
g
e
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
8
)
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
a
s
e
d
o
n
e
l
e
c
t
r
o
n
m
i
c
r
O
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
g
r
a
i
n
c
e
n
t
e
r
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
A

S

E

R

M

E

B

R

E

M

I

E

N

M

I

A

R

.

r

e

b

m

e

M

a

s

e

M

r

e

i

n

i

a

R

e

h

t

r

o

f

s

e

s

y

l

a

n

a

e

P

b

U

o

r

p

o

\

,

m

s

0

r

8

c

n

a

7

5

3

1

-

1

2

1

5

i

m

0

n

6

o

0

4

r

t

c

e

l

e

m

o

0

r

2

f

e

l

U

p

A

m

a

s

y

b

r

s

0

5

,

0

:

5

0

n

o

i

t

i

8

s

!

t

a

9

5

-

0

.

5

u

-

a

n

0

4

o

p

m

o

c

r

a

p

s

d

l

e

F

.

9

1

e

r

u

g

i

F

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
6
9
7
O
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
 
 
 
 
 
 
 
 
 
A
6
l
I
I
I
5
*
-
l
o
4
_
0
0
o
I
Q
)
‘
”
Q
R
U
3
"
0
0
0
1
9
0
I
N
o
q
b
g
2
"
o
o
m
o
'
4
0
0
0
o
o
o
1
~
o
.
o
o
8
0
%
o
—
—
—
S
E
B
E
B
I
1
1
I
0
2
6
B
1
0
%
A
n
A
M
M
O
N
I
A
T
A
N
K
S
M
E
M
B
E
R
1
0
I
I
l
I
B
+
8
*
-
-
+
+
6
*
.
.
u
)
+
c
)
+
+
+
)
2
+
+
4
_
+
+
+
"
+
2
”
+
+
-
1
+
+
+
+
+
+
0
‘
+
+
$
4
3
4
+
.
.
.
#
‘
P
l
1
0
2
4
5
8
1
0
7
6
A
n
F
i
g
u
r
e
2
0
.
A
)
C
e
l
s
i
a
n
v
e
r
s
u
s
a
n
o
r
t
h
i
t
e
c
o
n
t
e
n
t
i
n
f
e
l
d
s
p
a
r
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
8
)
C
e
l
s
i
a
n
v
e
r
s
u
s
a
n
o
r
t
h
i
t
e
c
o
n
t
e
n
t
i
n
f
e
l
d
s
p
a
r
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
7
l
p
h
e
n
o
c
r
y
s
t
s
h
o
w
e
v
e
r
r
e
v
e
a
l
a
m
u
c
h
p
o
o
r
e
r
c
o
r
r
e
l
a
t
i
o
n
w
i
t
h
t
h
e
a
n
o
r
t
h
i
t
e
c
o
n
t
e
n
t
(
F
i
g
.
2
0
b
)
.
P
l
a
g
i
o
c
l
a
s
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
e
x
h
i
b
i
t
a
l
m
o
s
t
e
x
a
c
t
l
y
t
h
e
s
a
m
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
a
s
t
h
o
s
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
F
i
g
s
.
1
8
,
2
1
)
.
E
d
g
e
c
o
m
p
o
s
i
t
i
o
n
s
o
f
t
h
e
p
l
a
g
i
o
c
l
a
s
e
f
e
l
d
s
p
a
r
s
r
a
n
g
e
f
r
o
m
A
n
5
9
t
o
A
n
1
7
(
F
i
g
s
.
2
1
,
2
2
)
.
C
o
r
e
c
o
m
p
o
s
i
t
i
o
n
s
a
r
e
a
s
h
i
g
h
a
s
A
n
5
2
.
A
f
e
w
f
e
l
d
s
p
a
r
g
r
a
i
n
s
h
a
v
e
r
i
m
A
n
v
a
l
u
e
s
e
x
c
e
e
d
i
n
g
A
n
7
0
.
T
h
e
A
n
7
0
p
h
e
n
o
c
r
y
s
t
s
m
a
y
r
e
p
r
e
s
e
n
t
b
r
o
k
e
n
g
r
a
i
n
s
w
i
t
h
t
h
e
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
t
a
k
e
n
t
o
w
a
r
d
s
t
h
e
t
r
u
e
c
o
r
e
o
f
t
h
e
g
r
a
i
n
s
.
T
h
e
f
e
l
d
s
p
a
r
s
w
i
t
h
a
l
b
i
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
o
f
a
p
p
r
o
x
i
m
a
t
e
l
y
A
n
l
O
A
b
6
5
0
r
2
5
a
r
e
p
r
e
d
o
m
i
n
a
n
t
l
y
g
r
o
u
n
d
m
a
s
s
f
e
l
d
s
p
a
r
s
,
s
o
m
e
o
f
w
h
i
c
h
a
r
e
v
i
s
i
b
l
e
i
n
t
h
i
n
s
e
c
t
i
o
n
.
C
o
m
p
a
r
i
s
o
n
o
f
t
h
e
s
a
n
i
d
i
n
e
c
o
m
p
o
s
i
t
i
o
n
s
(
g
r
a
i
n
e
d
g
e
a
n
a
l
y
s
e
s
o
n
l
y
)
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
r
e
v
e
a
l
s
t
h
a
t
a
g
a
p
o
f
1
%
t
o
2
%
O
r
c
o
n
t
e
n
t
(
O
r
5
6
t
o
O
r
5
8
)
o
c
c
u
r
s
w
i
t
h
i
n
e
a
c
h
o
f
t
h
e
s
e
t
w
o
m
e
m
b
e
r
s
(
F
i
g
s
.
1
8
,
2
1
)
.
S
a
n
i
d
i
n
e
c
o
m
p
o
s
i
t
i
o
n
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
r
a
n
g
e
f
r
o
m
a
f
e
w
s
c
a
t
t
e
r
e
d
v
a
l
u
e
s
a
t
O
r
s
o
t
o
t
h
e
d
o
m
i
n
a
n
t
p
o
p
u
l
a
t
i
o
n
a
t
a
p
p
r
o
x
i
m
a
t
e
l
y
O
r
6
o
(
F
i
g
.
1
8
)
w
h
i
l
e
s
a
n
i
d
i
n
e
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
r
a
n
g
e
f
r
o
m
O
r
4
3
t
o
O
r
5
5
(
F
i
g
.
2
1
)
.
A
s
i
n
t
h
e
p
l
a
g
i
o
c
l
a
s
e
f
e
l
d
s
p
a
r
s
,
a
f
e
w
s
a
n
i
d
i
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
h
a
v
e
e
x
t
r
e
m
e
O
r
c
o
m
p
o
s
i
t
i
o
n
s
(
>
O
r
7
0
)
.
T
h
e
r
a
n
g
e
o
f
c
o
r
e
c
o
m
p
o
s
i
t
i
o
n
s
f
o
r
t
h
e
s
a
n
i
d
i
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
7
2
A
M
M
O
N
I
A
T
A
N
K
S
M
E
M
B
E
R
 
 
 
 
 
 
 
G
r
a
i
n
C
e
n
t
e
r
s
 
2
0
4
0
s
o
8
0
'
A
b
0
r
F
i
g
u
r
e
2
l
.
A
)
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
a
s
e
d
o
n
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
g
r
a
i
n
e
d
g
e
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
8
)
F
e
l
d
s
p
a
r
c
o
m
p
o
s
i
t
i
o
n
s
b
a
s
e
d
o
n
e
l
e
c
t
r
o
n
m
i
c
r
O
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
g
r
a
i
n
c
e
n
t
e
r
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S

K

N

A

R

T

E

B

A

M

I

E

N

M

O

M

M

A

_

.

r

e

b

m

e

M

s

k

n

a

T

a

i

n

o

m

m

A

e

h

t

r

o

f

s

e

s

y

l

a

n

a

e

b

o

r

p

o

r

\

c

r

\

0

‘

i

,

c

a

s

:

e

w

9

5

5

7

-

5

A

0

8

m

n

o

r

t

c

0

e

5

0

4

0

2

b

A

l

e

m

o

r

f

e

l

p

m

a

s

y

b

s

n

o

i

t

i

s

o

p

m

o

c

r

a

p

s

d

l

e

F

.

2

2

e

r

u

g

i

F

,

o

x

s

0

A

8

:

t

a

0

7

B

-

S

A

a

0

6

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
7
3
7
4
T
a
n
k
s
M
e
m
b
e
r
i
s
i
d
e
n
t
i
c
a
l
t
o
t
h
e
e
d
g
e
c
o
m
p
o
s
i
t
i
o
n
s
(
F
i
g
.
2
1
)
.
B
i
o
t
i
t
e
P
e
t
r
o
g
r
a
p
h
y
N
e
x
t
t
o
t
h
e
f
e
l
d
s
p
a
r
s
,
b
i
o
t
i
t
e
i
s
t
h
e
m
o
s
t
u
b
i
q
u
i
t
o
u
s
m
i
n
e
r
a
l
p
h
a
s
e
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
m
a
g
m
a
t
i
c
s
y
s
t
e
m
.
B
i
o
t
i
t
e
o
c
c
u
r
s
a
s
a
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
t
h
r
o
u
g
h
o
u
t
t
h
e
s
e
q
u
e
n
c
e
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
b
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
(
T
a
b
l
e
2
)
.
I
n
b
o
t
h
u
n
i
t
s
,
m
o
d
a
l
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
b
i
o
t
i
t
e
r
a
n
g
e
f
r
o
m
a
f
e
w
t
e
n
t
h
s
o
f
a
p
e
r
c
e
n
t
(
D
R
E
,
d
e
n
s
e
r
o
c
k
e
q
u
i
v
a
l
e
n
t
)
i
n
t
h
e
r
h
y
o
l
i
t
i
c
s
a
m
p
l
e
s
u
p
t
o
3
%
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
a
m
p
l
e
s
(
T
a
b
l
e
2
)
.
P
e
t
r
o
g
r
a
p
h
i
c
a
l
l
y
,
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
b
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
r
e
c
o
m
m
o
n
l
y
a
s
s
o
c
i
a
t
e
d
w
i
t
h
,
i
n
d
e
c
r
e
a
s
i
n
g
o
r
d
e
r
o
f
a
b
u
n
d
a
n
c
e
,
a
p
a
t
i
t
e
,
m
a
g
n
e
t
i
t
e
,
i
l
m
e
n
i
t
e
,
s
p
h
e
n
e
,
z
i
r
c
o
n
,
c
h
e
v
k
i
n
i
t
e
,
a
n
d
+
/
-
m
o
n
a
z
i
t
e
(
m
o
n
a
z
i
t
e
o
n
l
y
o
c
c
u
r
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
s
p
h
e
n
e
o
n
l
y
o
c
c
u
r
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
)
.
T
h
e
b
i
o
t
i
t
e
s
h
a
v
e
a
c
o
n
s
i
s
t
e
n
t
p
l
e
o
c
h
r
o
i
c
s
c
h
e
m
e
o
f
y
e
l
l
o
w
<
d
a
r
k
r
e
d
-
b
r
o
w
n
o
r
g
r
e
e
n
(
X
<
Y
,
Z
)
.
R
e
s
o
r
p
t
i
o
n
o
f
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
o
c
c
u
r
s
o
n
l
y
i
n
s
a
m
p
l
e
s
w
i
t
h
c
o
m
p
o
s
i
t
i
o
n
s
r
a
n
g
i
n
g
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
r
a
c
h
y
d
a
c
i
t
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
T
a
b
l
e
3
)
.
B
i
o
t
i
t
e
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
r
e
r
e
s
o
r
b
e
d
o
n
l
y
i
n
7
5
s
a
m
p
l
e
s
o
f
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
(
T
a
b
l
e
3
)
.
I
n
b
o
t
h
u
n
i
t
s
,
t
h
e
r
e
s
o
r
p
t
i
o
n
i
s
o
n
l
y
s
l
i
g
h
t
t
o
m
o
d
e
r
a
t
e
a
s
c
o
m
p
a
r
e
d
t
o
r
e
s
o
r
p
t
i
o
n
o
f
t
h
e
f
e
l
d
s
p
a
r
s
.
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
F
o
r
m
o
s
t
s
a
m
p
l
e
s
,
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
w
e
r
e
c
o
n
c
e
n
t
r
a
t
e
d
t
o
w
a
r
d
s
t
h
e
e
d
g
e
s
o
f
t
h
e
b
i
o
t
i
t
e
g
r
a
i
n
s
b
e
c
a
u
s
e
t
h
i
s
r
e
g
i
o
n
w
a
s
m
o
s
t
l
i
k
e
l
y
i
n
e
q
u
i
l
i
b
r
i
u
m
w
i
t
h
t
h
e
e
r
u
p
t
e
d
m
e
l
t
.
A
f
e
w
g
r
a
i
n
s
i
n
e
a
c
h
s
a
m
p
l
e
w
e
r
e
c
h
e
c
k
e
d
f
o
r
c
o
m
p
o
s
i
t
i
o
n
a
l
z
o
n
a
t
i
o
n
b
y
a
n
a
l
y
z
i
n
g
t
h
e
c
o
r
e
a
n
d
e
d
g
e
p
o
r
t
i
o
n
s
o
f
t
h
e
g
r
a
i
n
.
G
r
a
i
n
s
a
n
a
l
y
z
e
d
i
n
t
h
i
s
f
a
s
h
i
o
n
w
e
r
e
h
o
m
o
g
e
n
e
o
u
s
i
n
c
o
m
p
o
s
i
t
i
o
n
.
I
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
t
h
e
M
g
#
(
M
g
O
/
(
M
g
O
+
F
e
O
T
)
)
o
f
b
i
o
t
i
t
e
r
a
n
g
e
s
f
r
o
m
a
m
e
a
n
o
f
0
.
6
7
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
0
.
6
4
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
F
i
g
.
2
3
)
.
T
h
e
c
o
l
l
e
c
t
i
v
e
r
a
n
g
e
i
n
M
g
#
h
o
w
e
v
e
r
r
a
n
g
e
s
f
r
o
m
0
.
7
2
w
i
t
h
i
n
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
t
o
0
.
6
0
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
I
n
t
r
a
s
a
m
p
l
e
v
a
r
i
a
t
i
o
n
s
o
f
t
h
e
M
g
#
c
a
n
r
a
n
g
e
u
p
t
o
0
.
0
9
u
n
i
t
s
a
s
i
n
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
s
a
m
p
l
e
R
8
-
2
5
(
0
.
6
1
t
o
0
.
7
0
)
(
F
i
g
.
2
3
)
.
T
h
e
l
a
r
g
e
v
a
r
i
a
t
i
o
n
i
n
M
g
#
a
n
d
e
l
e
m
e
n
t
a
l
c
o
m
p
o
s
i
t
i
o
n
o
f
t
h
e
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
w
i
t
h
i
n
a
n
y
o
n
e
s
a
m
p
l
e
m
a
y
r
e
f
l
e
c
t
e
i
t
h
e
r
t
h
e
a
c
t
u
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
o
f
p
h
e
n
o
c
r
y
s
t
s
w
i
t
h
i
n
t
h
a
t
p
a
r
t
i
c
u
l
a
r
m
e
l
t
,
c
o
m
p
o
s
i
t
i
o
n
a
l
z
o
n
a
t
i
o
n
w
i
t
h
i
n
t
h
e
p
h
e
n
o
c
r
y
s
t
,
a
n
d
\
o
r
c
o
m
m
i
n
g
l
i
n
g
o
f
d
i
s
c
r
e
t
e
m
a
g
m
a
s
w
i
t
h
u
n
i
q
u
e
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
.
R

A

I

N

I

E

R

M

E

S

A

M

B

R

.

B

I

O

T

I

T

E

7
6
 
 
 
 
 
 
 
 
 
 
 
 
 
6
4
2
0
.
6
0
0
0
.
6
2
5
0
.
6
5
0
0
.
6
7
5
0
.
7
0
0
0
.
7
2
5
C
O
M
P
O
S
I
T
E
L
E
P
U
M
C
E
F
R
E
Q
.
S
A
M
P
3
'
0
2
_
2
l
.
l
I
1
l
l
.
.
:
0
1
8
-
1
6
7
7
2
.
.
‘
1
|
|
I
I
I
I
I
I
H
!
I
.
.
.
0
1
1
-
7
7
6
1
.
.
l
l
l
l
l
l
.
.
.
l
.
l
,
,
0
2
1
-
5
.
0
1
8
-
2
7
5
2
:
'
.
1
I
.
I
I
I
I
.
.
.
.
0
2
3
-
1
3
7
0
2
‘
.
l
.
1
l
I
1
1
1
1
.
I
l
;
.
0
2
1
-
1
,
0
8
-
4
4
6
9
2
.
.
1
1
.
l
fl
l
l
,
1
1
,
1
.
,
1
1
.
,
R
8
-
2
5
5
7
3
2
l
;
1
1
I
§
1
.
.
,
0
8
-
4
5
6
6
2
I
[
I
I
I
I
g
.
.
0
2
3
-
2
6
6
4
3
.
2
|
7
4
=
I
n
1
1
.
1
1
2
.
.
0
1
1
-
5
6
1
Z
I
.
,
,
l
e
.
i
l
_
J
L
_
1
_
_
_
_
L
_
l
.
0
2
3
-
2
4
6
0
Z
:
l
i
;
.
l
I
!
I
l
l
I
.
0
2
3
-
2
7
5
0
2
I
I
I
.
I
I
I
I
I
I
;
I
'
3
2
1
-
1
3
5
7
 
 
 
0
.
6
0
0
0
.
6
2
5
0
.
6
5
0
0
.
6
7
5
0
.
7
0
0
0
.
7
2
5
0
9
0
/
(
0
9
0
+
F
e
O
t
)
F
i
g
u
r
e
2
3
.
M
g
#
o
f
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
S
i
O
c
o
n
t
e
n
t
.
M
i
c
r
O
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
y
.
7
7
I
n
t
r
a
s
a
m
p
l
e
b
i
o
t
i
t
e
d
a
t
a
f
o
r
M
n
O
,
T
i
O
Z
,
a
n
d
t
o
a
l
e
s
s
e
r
d
e
g
r
e
e
A
1
2
0
3
,
e
x
h
i
b
i
t
r
e
l
a
t
i
v
e
l
y
s
m
a
l
l
r
a
n
g
e
s
a
n
d
a
r
e
u
s
e
f
u
l
a
s
t
r
a
c
e
r
e
l
e
m
e
n
t
s
i
n
e
x
a
m
i
n
i
n
g
g
e
o
c
h
e
m
i
c
a
l
c
h
a
n
g
e
s
o
v
e
r
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
o
f
t
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
(
f
o
r
d
e
m
o
n
s
t
r
a
t
i
v
e
p
u
r
p
o
s
e
s
o
n
l
y
T
i
o
z
i
s
p
l
o
t
t
e
d
)
.
F
o
r
e
x
a
m
p
l
e
,
i
n
F
i
g
u
r
e
2
4
,
t
h
e
T
i
0
2
c
o
n
t
e
n
t
i
n
b
i
o
t
i
t
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
e
x
h
i
b
i
t
s
a
g
e
n
e
r
a
l
c
h
a
n
g
e
f
r
o
m
t
h
e
m
o
s
t
m
a
f
i
c
s
a
m
p
l
e
(
a
m
e
d
i
a
n
v
a
l
u
e
o
f
5
.
8
w
t
%
T
i
O
Z
)
t
o
t
h
e
m
o
s
t
s
i
l
i
c
i
c
s
a
m
p
l
e
(
a
m
e
d
i
a
n
v
a
l
u
e
o
f
4
.
5
w
t
%
T
i
O
Z
)
.
T
h
e
c
o
m
p
o
s
i
t
i
o
n
s
p
l
o
t
t
e
d
a
r
e
t
h
o
s
e
o
f
g
r
a
i
n
e
d
g
e
a
n
a
l
y
s
e
s
o
n
l
y
.
A
n
a
l
y
s
e
s
o
f
'
c
o
r
e
'
c
o
m
p
o
s
i
t
i
o
n
s
a
r
e
n
o
t
p
l
o
t
t
e
d
a
s
i
t
i
s
u
n
c
e
r
t
a
i
n
w
h
e
t
h
e
r
o
r
n
o
t
t
h
e
t
r
u
e
'
c
o
r
e
'
o
f
t
h
e
p
h
e
n
o
c
r
y
s
t
w
a
s
a
c
t
u
a
l
l
y
a
n
a
l
y
z
e
d
.
F
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
t
h
e
M
g
#
f
o
r
b
i
o
t
i
t
e
r
a
n
g
e
s
f
r
o
m
0
.
6
7
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
0
.
8
0
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
F
i
g
.
2
5
)
.
T
i
O
Z
r
a
n
g
e
s
f
r
o
m
2
.
7
3
w
t
%
t
o
7
.
5
7
w
t
%
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
r
e
s
p
e
c
t
i
v
e
l
y
(
F
i
g
.
2
6
)
.
A
h
i
s
t
o
g
r
a
m
p
l
o
t
o
f
t
h
e
M
g
#
d
o
e
s
n
o
t
r
e
v
e
a
l
s
i
g
n
i
f
i
c
a
n
t
p
o
p
u
l
a
t
i
o
n
d
i
f
f
e
r
e
n
c
e
s
(
i
e
.
b
i
m
o
d
a
l
v
s
.
u
n
i
m
o
d
a
l
)
(
F
i
g
.
2
5
)
:
T
i
0
2
h
o
w
e
v
e
r
d
o
e
s
r
e
v
e
a
l
a
p
o
s
s
i
b
l
e
t
r
i
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
w
i
t
h
m
e
d
i
a
n
s
o
c
c
u
r
r
i
n
g
a
t
a
p
p
r
o
x
i
m
a
t
e
l
y
3
.
0
0
w
t
%
T
i
0
2
,
4
.
7
5
w
t
%
T
i
0
2
a
n
d
6
.
9
5
w
t
%
T
i
O
z
(
F
i
g
.
2
6
)
.
T
h
i
s
t
r
i
m
o
d
a
l
i
t
y
i
s
a
l
s
o
p
r
e
s
e
n
t
i
n
t
h
e
K
2
0
a
n
d
M
n
O
d
a
t
a
.
F
e
O
e
x
h
i
b
i
t
s
a
b
i
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
.
W
i
t
h
i
n
a
s
i
n
g
l
e
s
a
m
p
l
e
,
l
a
r
g
e
r
a
n
g
e
s
i
n
c
o
m
p
o
s
i
t
i
o
n
w
h
i
c
h
a
r
e
u
n
i
m
o
d
a
l
i
n
d
i
s
t
r
i
b
u
t
i
o
n
a
r
e
i
n
t
e
r
p
r
e
t
e
d
t
o
7
8
 
 
 
 
 
R
A
I
N
I
E
R
B
A
1
1
1
m
B
I
O
T
I
T
E
F
r
e
q
.
1
0
.
8
6
l
.
2
3
.
6
0
4
.
2
0
4
.
8
0
5
.
4
0
6
.
0
0
6
.
6
0
C
o
m
p
o
s
i
t
e
P
u
m
i
c
e
F
r
e
q
.
S
a
m
p
l
e
8
1
0
2
(
w
t
%
)
2
I
:
:
l
l
l
1
;
I
4
i
;
;
R
I
B
—
1
6
7
7
2
1
1
.
1
1
1
1
1
.
.
.
1
1
:
1
1
,
m
-
v
1
.
3
.
l
l
0
2
1
—
5
1
I
I
p
1
.
,
L
0
1
0
—
2
7
5
1
.
.
1
9
.
1
1
I
I
1
'
“
l
l
,
R
2
3
-
1
3
7
0
 
R
Z
I
-
l
6
9
R
8
—
4
4
3
.
1
1
A
,
I
1
:
1
l
I
I
.
I
.
I
.
+
_
—
0
3
-
2
5
6
7
1
1
1
1
1
1
1
.
A
l
1
Y
Y
I
j
 
I
L
I
 
 
 
 
 
 
 
 
 
3
l
7
1
1
1
1
;
I
I
.
I
_
.
I
_
.
I
_
1
1
1
8
-
4
5
6
6
2
q
I
1
1
9
.
1
1
I
[
“
1
1
8
2
3
-
2
6
6
4
4
'
1
l
1
1
I
“
:
l
l
.
R
l
l
—
S
6
1
1
.
1
1
fi
‘
1
1
"
“
H
I
1
1
1
2
3
-
2
4
6
0
3
—
l
I
.
1
;
1
1
I
I
I
I
1
1
l
1
1
1
2
3
-
2
7
5
8
3
‘
I
1
1
1
L
1
1
"
1
I
l
l
.
1
1
2
1
-
1
3
5
7
3
.
6
0
4
.
2
0
4
.
8
0
5
.
4
0
6
.
0
0
6
.
6
0
“
1
'
1
0
2
(
w
t
%
)
F
i
g
u
r
e
2
4
.
T
i
O
i
n
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
B
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
S
i
O
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
y
.
‘
7
9
 
 
 
 
 
 
 
 
 
 
 
 
 
1
A
R
M
N
K
J
N
M
A
l
n
A
h
I
G
S
I
I
E
W
I
.
E
n
c
r
r
r
n
s
F
r
e
.
2
0
.
6
7
5
0
.
7
0
0
0
.
7
2
5
0
.
7
5
0
0
.
7
7
5
0
.
8
0
0
C
o
m
p
o
s
i
t
e
P
u
m
l
c
e
F
r
o
g
.
S
a
m
p
l
e
S
i
O
2
(
9
(
1
)
2
-
A
5
-
3
1
1
1
U
I
I
1
I
I
I
[
I
d
I
1
0
5
—
3
7
7
3
A
2
1
—
1
8
2
:
l
I
I
I
I
I
I
I
I
“
5
'
2
9
7
7
g
i
i
i
1
7
.
1
1
5
-
7
9
I
T
1
1
I
1
I
I
1
1
1
A
S
-
6
8
7
a
2
.
.
.
1
I
U
I
I
1
1
1
1
1
1
,
0
5
—
3
5
7
3
1
_
I
1
1
]
1
1
1
i
1
4
,
A
4
—
7
0
7
2
I
d
1
I
.
I
I
1
I
I
1
.
A
5
—
9
7
0
1
.
1
4
1
I
I
.
1
1
I
1
.
1
1
A
5
—
5
8
6
9
3
‘
‘
1
1
l
h
I
I
1
I
1
1
1
,
0
5
-
7
1
6
7
l
a
—
1
I
I
I
I
1
I
1
1
1
0
5
-
7
2
6
4
l
—
;
i
I
I
1
1
4
1
I
1
A
5
-
3
l
6
3
2
.
1
1
,
[
I
d
]
1
1
1
1
A
5
—
6
3
6
2
1
.
.
.
1
I
1
I
I
1
1
1
1
A
5
-
6
9
6
1
“
1
1
1
1
1
1
1
1
.
1
1
1
1
.
0
5
—
7
5
5
9
 
 
 
0
.
6
7
5
0
.
7
0
0
0
.
7
2
5
0
.
7
5
0
0
.
7
7
5
0
.
8
0
0
H
g
O
/
(
H
g
o
1
F
e
O
t
)
F
i
g
u
r
e
2
5
.
M
g
#
o
f
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
S
i
O
c
o
n
t
e
n
t
.
M
i
c
r
O
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
y
.
8
0
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
A
m
T
A
M
S
M
B
R
.
B
I
O
T
I
T
E
F
r
e
q
.
5
1
.
2
3
.
0
0
4
.
0
0
5
.
0
0
6
.
0
0
7
.
0
0
C
o
m
p
o
s
i
t
e
P
u
m
i
c
e
F
r
e
q
.
S
a
m
p
l
e
S
i
O
2
(
w
t
%
)
I
2
“
0
5
-
3
2
I
I
I
I
I
1
1
1
1
1
1
5
-
3
7
7
8
A
2
1
—
1
8
3
I
7
I
I
I
.
I
.
I
.
.
I
1
0
5
—
2
9
7
7
I
'
'
'
0
5
-
7
9
1
.
—
1
1
“
1
4
1
1
A
5
—
6
8
7
4
2
:
1
1
I
I
i
I
1
1
A
5
-
3
5
7
3
l
.
.
1
1
I
I
I
1
1
1
0
4
—
7
0
7
2
2
:
1
1
,
I
I
.
I
1
.
0
5
-
9
7
0
I
j
I
1
1
.
1
.
1
I
.
I
I
1
1
I
A
5
—
5
8
6
9
3
-
=
1
1
I
I
I
I
I
I
I
1
1
5
—
7
1
6
7
2
:
1
1
1
1
1
I
“
I
0
5
—
7
2
6
4
l
d
1
1
1
1
H
I
1
0
5
-
3
1
6
3
2
-
1
1
.
1
1
I
I
I
I
A
5
—
6
3
6
2
2
.
1
A
1
1
A
A
l
l
A
5
'
6
9
6
1
I
I
I
I
I
3
-
I
7
.
.
1
.
I
I
I
!
0
5
—
7
5
5
9
3
.
0
0
4
.
0
0
5
.
0
0
6
.
0
0
7
.
0
0
1
1
0
2
(
0
2
7
.
)
F
i
g
u
r
e
2
6
.
T
i
0
i
n
b
i
o
t
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S
a
m
g
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
S
i
O
c
o
n
t
e
n
t
.
M
i
c
r
0
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
y
.
B
I
r
e
p
r
e
s
e
n
t
t
h
e
a
c
t
u
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
a
m
o
n
g
p
h
e
n
o
c
r
y
s
t
s
w
i
t
h
i
n
t
h
e
s
a
m
p
l
e
.
C
o
m
m
i
n
g
l
i
n
g
c
a
n
b
e
i
d
e
n
t
i
f
i
e
d
i
n
a
s
a
m
p
l
e
i
n
w
h
i
c
h
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
o
f
a
p
a
r
t
i
c
u
l
a
r
e
l
e
m
e
n
t
i
s
s
m
a
l
l
,
b
u
t
a
b
i
m
o
d
a
l
t
o
p
o
l
y
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
o
f
d
a
t
a
i
s
p
r
e
s
e
n
t
.
T
w
o
e
x
a
m
p
l
e
s
o
f
t
h
i
s
c
a
n
b
e
o
b
s
e
r
v
e
d
i
n
t
h
e
T
i
0
2
d
a
t
a
f
o
r
b
i
o
t
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
;
s
a
m
p
l
e
s
R
1
1
-
7
,
R
Z
l
—
l
a
n
d
R
8
-
4
4
(
F
i
g
.
2
4
)
.
I
n
t
h
i
s
e
x
a
m
p
l
e
,
t
h
e
v
a
r
i
a
t
i
o
n
i
n
T
i
0
2
f
o
r
a
p
a
r
t
i
c
u
l
a
r
s
a
m
p
l
e
i
s
s
m
a
l
l
.
S
a
m
p
l
e
R
l
l
-
7
h
o
w
e
v
e
r
c
o
n
t
a
i
n
s
a
d
i
s
t
i
n
c
t
b
i
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
i
n
t
h
e
T
i
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
w
h
i
c
h
i
s
i
n
t
e
r
p
r
e
t
e
d
t
o
r
e
p
r
e
s
e
n
t
c
o
m
m
i
n
g
l
i
n
g
o
f
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
n
d
a
n
d
e
s
i
t
i
c
m
a
g
m
a
.
G
l
a
s
s
m
a
t
r
i
x
a
n
a
l
y
s
e
s
f
o
r
a
l
l
a
n
a
l
y
z
e
d
e
l
e
m
e
n
t
s
e
x
h
i
b
i
t
a
s
i
m
i
l
a
r
b
i
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
f
o
r
R
l
l
-
7
;
a
p
r
i
o
r
i
e
v
i
d
e
n
c
e
f
o
r
c
o
m
m
i
n
g
l
i
n
g
(
F
i
g
.
3
9
a
)
.
Q
u
a
r
t
z
P
e
t
r
o
g
r
a
p
h
y
Q
u
a
r
t
z
p
h
e
n
o
c
r
y
s
t
s
a
r
e
p
r
e
s
e
n
t
i
n
t
h
e
r
h
y
o
l
i
t
i
c
p
o
r
t
i
o
n
s
o
f
b
o
t
h
m
e
m
b
e
r
s
(
7
0
w
t
%
S
i
0
2
t
o
7
8
w
t
%
S
i
O
Z
)
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
I
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
q
u
a
r
t
z
c
o
m
p
r
i
s
e
s
1
%
t
o
6
.
2
%
(
D
R
E
)
o
f
t
h
e
r
o
c
k
(
T
a
b
l
e
2
)
.
T
h
e
g
r
a
i
n
s
a
r
e
t
y
p
i
c
a
l
l
y
b
r
o
k
e
n
a
n
d
m
a
y
b
e
s
l
i
g
h
t
l
y
t
o
m
o
d
e
r
a
t
e
l
y
r
e
s
o
r
b
e
d
(
T
a
b
l
e
3
)
.
T
h
e
g
r
a
i
n
s
a
r
e
i
n
c
l
u
s
i
o
n
f
r
e
e
a
n
d
r
a
n
g
e
i
n
s
i
z
e
f
r
o
m
<
0
.
5
m
m
t
o
2
m
m
.
8
2
I
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
t
h
e
q
u
a
r
t
z
g
r
a
i
n
s
a
r
e
p
r
e
s
e
n
t
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
s
u
p
t
o
1
%
(
D
R
E
)
a
n
d
a
r
e
t
y
p
i
c
a
l
l
y
b
r
o
k
e
n
(
T
a
b
l
e
2
)
.
I
n
c
o
n
t
r
a
s
t
t
o
q
u
a
r
t
z
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
t
h
e
q
u
a
r
t
z
p
h
e
n
o
c
r
y
s
t
s
a
r
e
n
o
t
r
e
s
o
r
b
e
d
(
T
a
b
l
e
3
)
.
G
l
a
s
s
i
n
c
l
u
s
i
o
n
s
a
r
e
r
a
r
e
t
o
c
o
m
m
o
n
i
n
q
u
a
r
t
z
p
h
e
n
o
c
r
y
s
t
s
f
r
o
m
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
C
l
i
n
o
p
y
r
o
x
e
n
e
P
e
t
r
o
g
r
a
p
h
y
C
l
i
n
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
a
r
e
c
o
m
m
o
n
i
n
s
a
m
p
l
e
s
o
f
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
h
r
o
u
g
h
r
h
y
o
l
i
t
e
i
n
b
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
(
T
a
b
l
e
2
)
.
I
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
C
l
i
n
o
p
y
r
o
x
e
n
e
d
o
e
s
n
o
t
a
p
p
e
a
r
a
s
a
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
i
n
l
o
w
S
i
0
2
s
a
m
p
l
e
s
u
n
t
i
l
a
w
h
o
l
e
-
p
u
m
i
c
e
$
1
0
2
c
o
m
p
o
s
i
t
i
o
n
o
f
6
1
w
t
%
i
s
r
e
a
c
h
e
d
.
I
n
t
h
e
m
o
r
e
m
a
f
i
c
s
a
m
p
l
e
s
,
h
o
r
n
b
l
e
n
d
e
a
n
d
b
i
o
t
i
t
e
a
r
e
t
h
e
d
o
m
i
n
a
n
t
f
e
r
r
o
m
a
g
n
e
s
i
a
n
p
h
a
s
e
s
.
I
n
b
o
t
h
m
e
m
b
e
r
s
,
C
l
i
n
o
p
y
r
o
x
e
n
e
c
e
a
s
e
s
t
o
b
e
a
p
h
a
s
e
a
s
q
u
a
r
t
z
p
h
e
n
o
c
r
y
s
t
s
a
p
p
e
a
r
.
P
e
t
r
o
g
r
a
p
h
i
c
a
l
l
y
,
C
l
i
n
o
p
y
r
o
x
e
n
e
g
r
a
i
n
s
a
r
e
e
u
h
e
d
r
a
l
t
o
s
u
b
h
e
d
r
a
l
a
n
d
r
a
n
g
e
i
n
s
i
z
e
f
r
o
m
<
1
.
0
m
m
t
o
2
.
0
m
m
.
C
o
l
o
r
o
f
t
h
e
C
l
i
n
o
p
y
r
o
x
e
n
e
i
s
c
l
e
a
r
t
o
s
l
i
g
h
t
l
y
p
a
l
e
g
r
e
e
n
.
I
n
e
a
c
h
m
e
m
b
e
r
,
s
e
v
e
r
a
l
C
l
i
n
o
p
y
r
o
x
e
n
e
g
r
a
i
n
s
w
e
r
e
n
o
t
e
d
t
o
c
o
n
t
a
i
n
i
r
r
e
g
u
l
a
r
l
y
s
h
a
p
e
d
o
r
t
h
o
p
y
r
o
x
e
n
e
c
o
r
e
s
.
I
n
t
h
e
s
e
s
a
m
e
s
a
m
p
l
e
s
,
C
l
i
n
o
p
y
r
o
x
e
n
e
g
r
a
i
n
s
m
a
y
a
l
s
o
h
a
v
e
o
p
t
i
c
a
l
l
y
d
i
s
c
o
n
t
i
n
u
o
u
s
,
i
r
r
e
g
u
l
a
r
l
y
s
h
a
p
e
d
c
o
r
e
s
o
f
8
3
C
l
i
n
o
p
y
r
o
x
e
n
e
i
n
a
d
d
i
t
i
o
n
t
o
o
r
t
h
o
p
y
r
o
x
e
n
e
c
o
r
e
s
w
h
i
c
h
m
a
y
r
e
f
l
e
c
t
t
h
e
p
r
e
s
e
n
c
e
o
f
r
e
l
i
c
t
g
r
a
i
n
s
.
M
o
d
a
l
l
y
,
C
l
i
n
o
p
y
r
o
x
e
n
e
o
n
l
y
o
c
c
u
r
s
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
a
f
e
w
t
e
n
t
h
s
o
f
a
p
e
r
c
e
n
t
e
x
c
e
p
t
i
n
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
h
e
r
e
i
t
r
e
a
c
h
e
s
a
t
o
t
a
l
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
1
.
2
%
(
D
R
E
)
(
T
a
b
l
e
2
)
.
I
n
c
l
u
s
i
o
n
s
i
n
t
h
e
C
l
i
n
o
p
y
r
o
x
e
n
e
g
r
a
i
n
s
i
n
c
l
u
d
e
a
p
a
t
i
t
e
,
m
a
g
n
e
t
i
t
e
,
i
l
m
e
n
i
t
e
,
z
i
r
c
o
n
,
a
n
d
c
h
e
v
k
i
n
i
t
e
.
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
M
o
l
e
f
r
a
c
t
i
o
n
s
o
f
W
o
-
E
n
-
F
s
w
e
r
e
c
a
l
c
u
l
a
t
e
d
f
o
r
t
h
e
C
l
i
n
o
p
y
r
o
x
e
n
e
a
n
d
o
r
t
h
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
u
s
i
n
g
t
h
e
p
r
o
g
r
a
m
"
C
A
T
I
O
N
S
"
(
W
i
l
b
a
n
d
,
u
n
p
u
b
l
i
s
h
e
d
p
r
o
g
r
a
m
)
.
T
h
e
s
e
d
a
t
a
a
r
e
p
l
o
t
t
e
d
o
n
t
h
e
p
y
r
o
x
e
n
e
q
u
a
d
r
i
l
a
t
e
r
a
l
i
n
F
i
g
u
r
e
s
2
7
a
a
n
d
2
7
b
.
C
o
m
p
o
s
i
t
i
o
n
a
l
l
y
,
t
h
e
d
o
m
i
n
a
n
t
g
r
o
u
p
o
f
C
l
i
n
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
,
b
a
s
e
d
o
n
e
d
g
e
a
n
a
l
y
s
e
s
,
r
a
n
g
e
s
f
r
o
m
W
0
4
9
E
n
4
3
F
3
8
t
o
W
0
3
7
E
n
4
7
F
s
l
6
.
T
w
o
g
r
a
i
n
-
c
e
n
t
e
r
a
n
a
l
y
s
e
s
h
a
v
e
s
i
g
n
i
f
i
c
a
n
t
l
y
l
o
w
e
r
W
o
m
o
l
e
f
r
a
c
t
i
o
n
s
o
f
W
0
2
7
E
n
5
3
F
S
Z
O
a
n
d
W
0
3
1
E
n
4
9
F
3
2
0
.
T
h
e
r
e
s
p
e
c
t
i
v
e
e
d
g
e
c
o
m
p
o
s
i
t
i
o
n
s
o
f
t
h
e
s
e
t
w
o
g
r
a
i
n
s
a
r
e
W
0
4
4
E
n
4
3
F
s
l
3
a
n
d
W
0
3
7
E
n
4
8
F
s
l
6
(
s
a
m
p
l
e
s
R
2
3
-
2
6
a
n
d
R
2
1
-
1
)
.
C
o
m
p
o
s
i
t
i
o
n
a
l
z
o
n
i
n
g
w
a
s
c
o
m
m
o
n
i
n
c
l
i
n
o
p
y
r
o
x
e
n
e
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
w
i
t
h
a
u
s
u
a
l
W
o
m
o
l
e
f
r
a
c
t
i
o
n
r
a
n
g
e
o
f
+
/
-
W
0
2
,
w
i
t
h
a
f
e
w
g
r
a
i
n
s
h
a
v
i
n
g
a
r
a
n
g
e
o
f
u
p
t
o
+
/
-
W
0
5
.
Z
o
n
i
n
g
w
i
t
h
r
e
s
p
e
c
t
t
o
M
g
O
a
n
d
F
e
O
f
r
o
m
t
h
e
g
r
a
i
n
c
e
n
t
e
r
t
o
t
h
e
g
r
a
i
n
e
d
g
e
d
i
d
n
o
t
s
h
o
w
a
n
y
c
o
n
s
i
s
t
e
n
t
p
a
t
t
e
r
n
.
I
n
s
o
m
e
8
4
R
A
I
N
I
E
R
M
E
S
A
M
B
R
.
 
 
A
0
B
l
H
d
4
0
2
:
1
+
+
2
0
1
.
1
1
fi
t
P
A
1
.
a
2
0
4
0
6
0
 
E
n
 
A
M
M
O
N
I
A
T
A
N
K
S
M
B
R
.
'
3
D
i
H
d
 
2
0
 
E
n
F
s
F
i
g
u
r
e
2
7
.
A
)
P
l
o
t
o
f
C
l
i
n
o
p
y
r
o
x
e
n
e
a
n
d
o
r
t
h
0
p
y
r
0
x
e
n
e
c
o
m
p
o
s
i
t
i
o
n
s
o
n
t
h
e
p
y
r
o
x
e
n
e
q
u
a
d
i
l
a
t
e
r
a
l
d
i
a
g
r
a
m
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
8
)
P
l
o
t
o
f
c
I
i
n
0
p
y
r
0
x
e
n
e
a
n
d
o
r
t
h
0
p
y
r
o
x
e
n
e
c
o
m
p
o
s
i
t
i
o
n
s
o
n
t
h
e
p
y
r
o
x
e
n
e
q
u
a
d
i
l
a
t
e
r
a
l
d
i
a
g
r
a
m
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
8
5
g
r
a
i
n
s
F
e
O
w
a
s
e
n
r
i
c
h
e
d
t
o
w
a
r
d
s
t
h
e
e
d
g
e
o
f
t
h
e
g
r
a
i
n
a
n
d
i
n
o
t
h
e
r
s
M
g
O
w
a
s
e
n
r
i
c
h
e
d
e
d
g
e
w
a
r
d
.
N
o
r
m
a
l
l
y
,
a
F
e
O
e
n
r
i
c
h
m
e
n
t
e
d
g
e
w
a
r
d
w
o
u
l
d
b
e
e
x
p
e
c
t
e
d
f
o
r
g
r
a
i
n
s
g
r
o
w
i
n
g
i
n
a
m
e
l
t
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
e
v
o
l
v
i
n
g
t
o
w
a
r
d
a
m
o
r
e
s
i
l
i
c
i
c
c
o
m
p
o
s
i
t
i
o
n
.
T
h
i
s
d
i
s
c
r
e
p
a
n
c
y
c
a
n
b
e
e
x
p
l
a
i
n
e
d
d
u
e
t
h
e
r
a
n
d
o
m
o
r
i
e
n
t
a
t
i
o
n
o
f
t
h
e
b
r
o
k
e
n
g
r
a
i
n
s
a
s
a
r
e
s
u
l
t
o
f
s
a
m
p
l
e
p
r
e
p
a
r
a
t
i
o
n
.
E
d
g
e
a
n
a
l
y
s
e
s
m
a
y
a
c
t
u
a
l
l
y
h
a
v
e
b
e
e
n
t
a
k
e
n
t
o
w
a
r
d
s
t
h
e
t
r
u
e
g
r
a
i
n
c
e
n
t
e
r
.
A
n
a
l
y
s
e
s
o
f
h
a
n
d
p
i
c
k
e
d
p
h
e
n
o
c
r
y
s
t
s
a
n
d
a
n
a
l
y
s
e
s
o
f
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
i
n
s
e
c
t
i
o
n
h
o
w
e
v
e
r
d
o
c
o
n
s
i
s
t
e
n
t
l
y
i
n
d
i
c
a
t
e
F
e
-
r
i
c
h
r
i
m
s
a
n
d
M
g
-
r
i
c
h
c
o
r
e
s
,
a
s
s
h
o
u
l
d
b
e
e
x
p
e
c
t
e
d
.
T
h
e
M
g
#
o
f
C
l
i
n
o
p
y
r
o
x
e
n
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
r
a
n
g
e
s
f
r
o
m
0
.
7
7
t
o
0
.
7
2
.
T
h
e
m
e
a
n
M
g
#
o
f
C
l
i
n
o
p
y
r
o
x
e
n
e
i
n
t
h
e
m
o
s
t
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
(
5
9
w
t
%
$
1
0
2
)
a
n
d
i
n
t
h
e
m
o
s
t
e
v
o
l
v
e
d
p
u
m
i
c
e
f
r
a
g
m
e
n
t
(
7
5
w
t
%
S
i
O
z
)
i
s
0
.
7
6
a
n
d
0
.
7
4
r
e
s
p
e
c
t
i
v
e
l
y
(
F
i
g
.
2
8
)
.
C
o
m
p
o
s
i
t
i
o
n
a
l
l
y
,
C
l
i
n
o
p
y
r
o
x
e
n
e
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
s
v
e
r
y
s
i
m
i
l
a
r
t
o
C
l
i
n
o
p
y
r
o
x
e
n
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
e
x
c
e
p
t
f
o
r
a
f
e
w
a
n
a
l
y
s
e
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
h
i
c
h
a
r
e
s
l
i
g
h
t
l
y
m
o
r
e
e
n
r
i
c
h
e
d
i
n
t
h
e
E
n
c
o
m
p
o
n
e
n
t
(
F
i
g
.
2
7
b
)
.
T
h
e
r
a
n
g
e
i
n
t
h
e
W
0
m
o
l
e
f
r
a
c
t
i
o
n
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
h
o
w
e
v
e
r
,
i
s
v
i
r
t
u
a
l
l
y
t
h
e
s
a
m
e
a
s
t
h
a
t
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
h
e
b
i
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
o
f
d
a
t
a
o
n
t
h
e
q
u
a
d
r
i
l
a
t
e
r
a
l
p
l
o
t
m
o
s
t
l
i
k
e
l
y
r
e
p
r
e
s
e
n
t
s
t
r
u
e
p
h
e
n
o
c
r
y
s
t
e
d
g
e
v
e
r
s
u
s
c
e
n
t
e
r
c
o
m
p
o
s
i
t
i
o
n
s
(
F
i
g
.
2
7
b
)
.
D
u
e
t
o
t
h
e
b
r
o
k
e
n
n
a
t
u
r
e
o
f
t
h
e
g
r
a
i
n
s
i
n
t
h
e
F
i
g
u
r
e
2
8
.
8
6
 
 
 
 
 
 
 
 
 
 
F
r
o
g
.
1
0
_
a
:
6
:
a
:
2
;
0
.
7
2
0
0
.
7
3
6
0
.
7
5
2
0
.
7
6
8
0
.
7
8
4
C
o
m
p
o
s
i
t
e
F
r
e
q
.
l
—
j
i
I
I
1
1
2
_
‘
_
l
1
_
.
|
I
_
L
|
_
I
l
l
l
l
l
J
J
,
I
L
I
I
I
1
1
2
.
:
1
1
l
g
m
m
l
1
I
|
I
J
1
1
1
I
I
I
a
-
=
1
1
4
1
1
.
1
1
!
a
n
1
1
2
.
4
‘
_
|
_
1
1
_
_
L
l
1
_
I
I
n
I
l
l
1
.
I
I
l
4
J
=
1
1
1
1
L
I
L
|
I
|
1
I
I
I
I
I
I
1
1
2
_
“
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
_
‘
1
1
|
|
1
|
I
1
1
|
1
r
 
 
 
0
.
7
2
0
0
.
7
3
6
0
.
7
5
2
0
.
7
6
8
0
.
7
8
4
H
g
O
/
(
H
g
o
+
F
e
O
t
)
P
u
m
i
c
e
S
a
m
p
l
e
S
i
O
2
(
w
t
%
)
R
2
1
-
5
7
5
R
2
3
-
l
3
7
0
R
B
-
Q
Q
R
Z
I
—
l
6
9
R
8
-
2
5
6
7
R
8
—
4
5
6
6
R
2
3
—
2
6
6
4
R
l
l
-
S
6
1
R
2
3
-
2
4
6
0
M
g
#
0
f
c
l
i
n
0
p
y
r
0
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
?
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
S
i
O
2
c
o
n
t
e
n
t
.
M
i
c
r
0
p
r
0
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
8
7
g
r
a
i
n
m
o
u
n
t
s
a
s
n
o
t
e
d
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
s
a
m
p
l
e
s
,
t
h
e
t
r
u
e
e
d
g
e
o
r
c
e
n
t
e
r
o
f
t
h
e
g
r
a
i
n
c
o
u
l
d
n
o
t
b
e
d
e
t
e
r
m
i
n
e
d
d
u
r
i
n
g
a
n
a
l
y
s
i
s
.
T
h
e
i
m
p
l
i
c
a
t
i
o
n
s
o
f
t
h
e
b
i
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
o
f
t
h
e
d
a
t
a
w
i
l
l
b
e
d
i
s
c
u
s
s
e
d
i
n
a
l
a
t
e
r
s
e
c
t
i
o
n
.
Z
o
n
i
n
g
s
t
u
d
i
e
s
o
n
h
a
n
d
p
i
c
k
e
d
p
h
e
n
o
c
r
y
s
t
s
a
n
d
t
h
i
n
-
s
e
c
t
i
o
n
p
h
e
n
o
c
r
y
s
t
s
i
n
d
i
c
a
t
e
F
e
-
r
i
c
h
r
i
m
s
a
n
d
M
g
-
r
i
c
h
c
o
r
e
s
(
s
a
m
p
l
e
A
5
-
3
5
)
.
T
h
e
M
g
#
r
a
n
g
e
s
f
r
o
m
0
.
7
2
t
o
0
.
8
2
f
o
r
a
l
l
c
l
i
n
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
C
l
i
n
o
p
y
r
o
x
e
n
e
g
r
a
i
n
s
f
r
o
m
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
h
a
v
e
a
m
e
a
n
M
g
#
o
f
0
.
7
9
w
h
i
l
e
c
l
i
n
o
p
y
r
o
x
e
n
e
g
r
a
i
n
s
f
r
o
m
t
h
e
r
h
y
o
l
i
t
e
h
a
v
e
a
m
e
a
n
M
g
#
o
f
0
.
7
7
(
F
i
g
.
2
9
)
.
E
l
e
m
e
n
t
a
l
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
t
h
e
c
l
i
n
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
r
e
m
a
i
n
n
e
a
r
l
y
c
o
n
s
t
a
n
t
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
r
a
n
g
i
n
g
f
r
o
m
5
9
w
t
%
t
o
6
3
w
t
%
S
i
O
Z
.
A
t
a
p
p
r
o
x
i
m
a
t
e
l
y
6
7
w
t
%
S
i
O
Z
,
t
h
e
c
l
i
n
o
p
y
r
o
x
e
n
e
c
o
m
p
o
s
i
t
i
o
n
c
h
a
n
g
e
s
g
r
a
d
u
a
l
l
y
t
o
w
a
r
d
s
t
h
e
e
v
o
l
v
e
d
c
o
m
p
o
s
i
t
i
o
n
o
f
t
h
e
c
l
i
n
o
p
y
r
o
x
e
n
e
g
r
a
i
n
s
i
n
t
h
e
r
h
y
o
l
i
t
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
T
h
i
s
i
s
c
o
n
s
i
s
t
e
n
t
w
i
t
h
a
c
h
a
n
g
e
t
o
w
a
r
d
m
o
r
e
e
v
o
l
v
e
d
b
i
o
t
i
t
e
a
n
d
g
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
t
a
p
p
r
o
x
i
m
a
t
e
l
y
6
4
w
t
%
5
1
0
2
.
S
i
m
i
l
a
r
l
y
,
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
e
x
h
i
b
i
t
s
a
g
r
a
d
u
a
l
c
h
a
n
g
e
i
n
c
l
i
n
o
p
y
r
o
x
e
n
e
c
o
m
p
o
s
i
t
i
o
n
a
t
6
4
w
t
%
S
i
O
z
,
w
h
i
l
e
b
i
o
t
i
t
e
a
n
d
g
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
a
l
d
a
t
a
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
e
x
h
i
b
i
t
a
n
i
n
f
l
e
c
t
i
o
n
a
t
a
p
p
r
o
x
i
m
a
t
e
l
y
6
1
w
t
%
S
i
O
z
.
:

n

a

e

w

8
8
A
M
M
O
N
I
A
T
A
N
K
S
m
C
U
W
Y
R
O
X
E
N
E
F
r
e
g
.
0
.
7
2
0
0
.
7
4
0
0
.
7
6
0
0
.
7
8
0
0
.
8
0
0
0
.
8
2
0
C
o
m
p
o
s
i
t
e
 
 
 
 
 
 
 
 
 
 
 
 
 
P
u
m
i
c
e
F
r
e
q
.
S
a
m
p
l
e
S
I
D
2
(
w
t
%
)
I
r
1
1
1
I
I
1
I
1
,
1
A
5
—
6
8
7
4
2
‘
7
J
1
’
1
I
I
I
I
’
I
I
1
1
1
A
5
—
3
5
7
3
I
“
;
1
I
1
I
1
1
1
1
4
4
—
7
0
7
2
3
-
1
7
p
l
1
“
1
1
'
“
I
I
1
1
l
1
A
5
—
5
8
6
9
2
z
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
-
7
1
6
7
2
1
1
1
1
1
1
1
l
1
A
5
-
3
0
6
6
3
.
1
d
;
5
1
1
l
l
l
l
l
h
l
1
A
5
-
7
2
6
4
1
—
4
A
L
A
1
I
L
I
.
A
5
—
‘
3
1
6
3
2
.
1
‘
1
1
1
1
l
l
I
1
l
l
1
A
5
-
6
3
6
2
1
7
1
1
1
|
I
1
1
u
1
1
1
1
1
A
5
-
6
9
6
1
3
-
7
1
1
1
I
[
I
l
l
l
g
l
l
fl
l
l
1
A
S
-
7
S
1
5
9
 
 
 
0
.
7
2
0
0
.
7
4
0
0
.
7
6
0
0
.
7
8
0
0
.
8
0
0
0
.
8
2
0
M
g
O
/
(
H
g
o
+
F
o
o
t
)
F
i
g
u
r
e
2
9
.
M
g
#
o
f
c
l
i
n
0
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
S
i
0
2
c
o
n
t
e
n
t
.
M
i
c
r
0
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
8
9
O
r
t
h
o
p
y
r
o
x
e
n
e
P
e
t
r
o
g
r
a
p
h
y
A
s
n
o
t
e
d
i
n
t
h
e
s
e
c
t
i
o
n
o
n
c
l
i
n
o
p
y
r
o
x
e
n
e
,
o
r
t
h
o
p
y
r
o
x
e
n
e
o
c
c
u
r
s
i
n
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
b
u
t
,
o
n
l
y
a
s
i
r
r
e
g
u
l
a
r
l
y
s
h
a
p
e
d
c
o
r
e
s
w
i
t
h
i
n
t
h
e
c
l
i
n
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
.
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
I
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
t
h
e
W
o
-
E
n
-
F
s
m
o
l
e
f
r
a
c
t
i
o
n
s
h
a
v
e
a
l
i
m
i
t
e
d
r
a
n
g
e
;
W
o
Z
E
n
7
O
F
3
2
9
t
o
W
o
Z
E
n
6
5
F
s
3
4
(
F
i
g
.
2
7
a
)
.
T
h
e
a
b
s
o
l
u
t
e
r
a
n
g
e
i
n
M
g
#
f
o
r
o
r
t
h
o
p
y
r
o
x
e
n
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
0
.
6
6
t
o
0
.
7
1
.
T
h
e
m
e
a
n
M
g
#
f
o
r
o
r
t
h
o
p
y
r
o
x
e
n
e
i
n
t
h
e
m
o
s
t
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
i
s
0
.
6
7
w
h
i
l
e
t
h
e
M
g
#
f
o
r
o
r
t
h
o
p
y
r
o
x
e
n
e
i
n
t
h
e
m
o
s
t
f
e
l
s
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
i
s
a
l
s
o
0
.
6
7
(
F
i
g
.
3
0
a
)
.
W
h
i
l
e
t
h
e
M
g
#
e
x
h
i
b
i
t
s
a
v
e
r
y
s
m
a
l
l
r
a
n
g
e
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
t
h
e
o
r
t
h
o
p
y
r
o
x
e
n
e
T
i
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
s
d
e
c
r
e
a
s
e
s
y
s
t
e
m
a
t
i
c
a
l
l
y
f
r
o
m
a
p
p
r
o
x
i
m
a
t
e
l
y
0
.
1
3
w
t
%
i
n
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
t
o
0
.
0
7
w
t
%
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
F
i
g
.
3
0
b
)
.
I
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
o
r
t
h
o
p
y
r
o
x
e
n
e
i
s
r
a
r
e
a
n
d
o
n
l
y
f
o
u
r
a
n
a
l
y
s
e
s
w
e
r
e
p
e
r
f
o
r
m
e
d
o
n
t
h
e
t
h
r
e
e
g
r
a
i
n
s
f
o
u
n
d
i
n
o
n
e
s
a
m
p
l
e
(
A
S
-
5
8
,
6
9
w
t
%
S
i
O
z
)
.
T
h
e
W
o
-
E
n
-
F
s
m
o
l
e
f
r
a
c
t
i
o
n
r
a
n
g
e
f
o
r
t
h
e
s
e
a
n
a
l
y
s
e
s
i
s
W
o
Z
E
n
7
3
F
3
2
5
t
o
W
o
Z
E
n
6
6
F
s
3
2
(
F
i
g
.
2
7
b
)
.
T
h
e
a
b
s
o
l
u
t
e
r
a
n
g
e
i
n
M
g
#
i
s
f
r
o
m
0
.
7
4
t
o
0
.
7
0
(
F
i
g
.
3
1
)
.
9
0
R
A
I
M
E
R
I
E
S
A
6
B
R
.
(
F
T
H
O
P
Y
R
O
X
E
N
E
F
r
e
g
.
3
2
S
I
|
|
I
I
I
I
I
I
I
1
I
I
I
I
I
1
1
1
1
1
1
[
1
0
.
6
6
0
0
.
6
7
0
0
.
6
8
0
0
.
6
9
0
0
.
7
0
0
0
.
7
1
0
A
C
o
m
p
o
s
i
t
e
 
 
 
 
 
 
 
P
u
m
i
c
e
5
5
3
3
;
S
a
m
p
l
e
S
i
0
2
(
w
t
%
)
2
:
r
J
1
?
l
1
H
i
I
I
R
Z
I
—
S
7
5
l
_
r
_
l
_
l
l
I
.
|
_
.
J
_
1
I
1
1
1
R
2
3
—
1
3
7
0
I
-
R
8
—
4
4
—
—
I
-
—
—
—
—
L
—
—
u
—
—
~
I
I
1
1
I
.
3
2
1
-
1
6
9
1
_
1
f
“
I
1
1
1
1
1
R
8
-
4
5
6
6
I
—
I
_
.
L
L
L
J
.
I
+
"
b
I
.
1
1
R
2
3
-
2
6
6
4
 
'
I
'
0
.
6
6
0
0
.
6
7
0
0
.
0
8
0
0
.
6
9
0
0
.
7
0
0
0
.
7
1
0
H
g
O
/
(
H
g
o
+
F
e
O
t
)
 
F
r
e
g
.
I
;
2
:
1
I
I
I
U
I
1
I
I
I
I
L
1
1
L
M
I
1
1
I
0
.
0
5
0
0
.
0
7
5
0
.
1
0
0
0
.
1
2
5
0
.
1
5
0
B
C
o
m
p
o
s
i
t
e
 
 
 
 
 
 
 
 
P
u
m
i
c
e
F
r
e
g
.
S
a
m
p
l
e
S
i
O
2
(
w
t
%
)
2
l
!
l
:
I
l
;
;
;
R
2
1
—
5
7
5
3
.
1
‘
1
1
l
1
,
I
l
l
1
7
1
2
3
—
1
3
7
0
R
8
-
4
4
1
.
1
i
.
“
i
l
I
?
1
3
8
-
4
5
6
6
3
-
-
'
1
1
1
I
l
1
l
|
l
l
3
2
3
-
2
6
6
"
0
.
0
5
0
0
.
0
7
5
0
.
1
0
0
0
.
1
2
5
0
.
1
5
0
T
I
O
Z
(
w
t
%
)
F
i
g
u
r
e
3
0
.
A
)
M
g
#
o
f
o
r
t
h
0
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
w
h
o
l
e
p
u
m
i
c
e
S
i
O
c
o
n
t
e
n
t
.
M
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
8
)
T
i
0
i
n
o
r
t
h
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
y
r
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
e
r
.
F
i
g
u
r
e
3
l
.
9
]
A
l
l
N
K
D
N
W
A
H
T
fi
w
fl
K
S
i
I
I
B
F
L
(
N
W
T
H
K
I
P
V
F
K
J
X
E
D
M
E
 
P
u
m
i
c
e
F
r
e
g
.
S
a
m
p
l
e
S
i
O
2
(
9
L
1
)
I
‘
{
I
.
1
l
.
:
1
I
1
1
]
1
5
-
5
3
6
9
 
0
.
7
0
4
0
.
7
1
2
0
.
7
2
0
0
.
7
2
8
0
.
7
3
6
0
.
7
4
4
H
1
1
0
/
0
1
3
0
+
F
e
O
t
)
M
g
#
o
f
o
r
t
h
0
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
S
i
O
c
o
n
t
e
n
t
o
f
w
h
o
l
e
p
u
m
i
c
e
.
M
i
c
r
0
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
g
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
9
2
A
m
p
h
i
b
o
l
e
P
e
t
r
o
g
r
a
p
h
y
H
o
r
n
b
l
e
n
d
e
i
s
c
o
m
m
o
n
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
s
a
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
a
n
d
o
c
c
u
r
s
s
p
o
r
a
d
i
c
a
l
l
y
f
r
o
m
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
h
e
r
h
y
o
l
i
t
e
.
H
o
r
n
b
l
e
n
d
e
i
s
a
b
s
e
n
t
i
n
s
a
m
p
l
e
s
w
i
t
h
a
S
i
O
Z
c
o
n
t
e
n
t
e
q
u
a
l
t
o
o
r
g
r
e
a
t
e
r
t
h
a
n
6
7
w
t
%
a
n
d
i
s
p
r
e
s
e
n
t
o
n
l
y
i
n
m
i
n
u
t
e
q
u
a
n
t
i
t
i
e
s
i
n
p
u
m
i
c
e
s
a
m
p
l
e
s
o
f
6
1
w
t
%
t
o
6
6
w
t
%
S
i
O
Z
.
A
s
m
a
l
l
c
l
u
s
t
e
r
o
f
e
u
h
e
d
r
a
l
h
o
r
n
b
l
e
n
d
e
w
a
s
a
l
s
o
i
d
e
n
t
i
f
i
e
d
i
n
t
h
e
r
h
y
o
l
i
t
i
c
s
a
m
p
l
e
R
2
3
-
l
3
(
7
0
.
0
3
w
t
%
S
i
O
Z
)
.
T
h
e
p
l
e
o
c
h
r
o
i
c
s
c
h
e
m
e
f
o
r
h
o
r
n
b
l
e
n
d
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
c
o
n
s
i
s
t
e
n
t
l
y
l
i
g
h
t
g
r
e
e
n
<
o
r
a
n
g
e
t
o
g
r
e
e
n
-
b
r
o
w
n
(
X
<
Y
,
Z
)
.
G
e
n
e
r
a
l
l
y
t
h
e
h
o
r
n
b
l
e
n
d
e
s
a
r
e
e
u
h
e
d
r
a
l
t
o
s
u
b
h
e
d
r
a
l
.
O
n
l
y
i
n
t
h
e
m
o
s
t
m
a
f
i
c
s
a
m
p
l
e
s
o
f
e
a
c
h
m
e
m
b
e
r
d
o
t
h
e
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
e
x
h
i
b
i
t
m
i
n
o
r
e
m
b
a
y
m
e
n
t
o
f
g
r
a
i
n
b
o
u
n
d
a
r
i
e
s
.
I
t
i
s
u
n
c
l
e
a
r
w
h
e
t
h
e
r
o
r
n
o
t
t
h
e
s
e
g
r
a
i
n
s
w
e
r
e
r
e
s
o
r
b
e
d
.
M
i
n
e
r
a
l
C
h
e
m
i
s
t
r
y
I
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
t
h
e
M
g
#
o
f
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
h
a
v
e
a
n
a
b
s
o
l
u
t
e
r
a
n
g
e
o
f
0
.
7
1
t
o
0
.
6
3
.
I
n
t
h
e
m
o
s
t
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
,
t
h
e
m
e
a
n
M
g
#
i
s
0
.
6
8
w
h
i
l
e
i
n
t
h
e
m
o
s
t
f
e
l
s
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
t
h
e
m
e
a
n
M
g
#
i
s
0
.
6
6
(
F
i
g
.
3
2
)
.
T
h
e
i
n
t
r
a
s
a
m
p
l
e
v
a
r
i
a
t
i
o
n
i
n
M
g
#
i
s
q
u
i
t
e
l
a
r
g
e
a
n
d
m
a
y
b
e
d
u
e
t
o
s
e
c
o
n
d
a
r
y
i
r
o
n
g
a
i
n
a
n
d
/
o
r
l
o
s
s
f
r
o
m
p
o
s
t
-
e
m
p
l
a
c
e
m
e
n
t
p
r
o
c
e
s
s
e
s
s
u
c
h
a
s
v
o
l
a
t
i
l
e
m
i
g
r
a
t
i
o
n
9
3
 
 
 
 
 
 
 
 
l
i
A
fl
h
fl
E
fl
i
I
M
E
E
N
A
I
n
fi
l
l
.
H
I
J
H
M
I
B
L
E
B
G
C
I
E
F
r
e
g
.
h
2
0
.
6
2
4
0
.
6
4
0
0
.
6
5
6
0
.
6
7
2
0
.
6
8
8
C
o
w
o
s
l
t
e
P
u
m
i
c
e
F
r
o
g
.
S
a
m
p
l
e
8
1
0
2
(
w
t
%
)
1
—
2
—
‘
_
_
1
_
_
_
_
+
_
_
_
h
l
l
1
l
1
R
2
3
—
1
3
7
0
I
7
I
l
I
l
“
1
1
1
1
1
n
8
_
4
4
6
9
I
T
I
1
I
1
‘
i
1
1
1
l
1
1
1
8
8
-
4
5
6
6
j
r
t
|
l
2
-
‘
1
1
,
l
1
I
I
I
I
1
1
R
l
l
—
S
6
1
l
I
I
l
I
.
2
.
1
‘
.
1
4
1
1
l
l
1
I
l
1
R
2
3
—
2
4
6
0
I
V
V
I
1
2
-
4
‘
l
1
1
1
l
1
1
1
l
l
.
1
R
2
3
—
2
7
5
8
I
I
I
I
I
3
_
=
l
.
1
1
1
[
[
1
J
.
I
.
3
2
1
-
1
3
5
7
I
I
1
I
I
 
 
 
0
.
6
2
4
0
.
6
4
0
0
.
6
5
6
0
.
6
7
2
0
.
6
8
8
H
g
O
/
(
H
g
o
+
F
e
O
t
)
'
F
i
g
u
r
e
3
2
.
M
g
#
o
f
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
S
i
O
2
c
o
n
t
e
n
t
.
M
i
c
r
0
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
9
4
d
u
r
i
n
g
c
o
o
l
i
n
g
o
f
t
h
e
s
h
e
e
t
,
o
r
,
m
e
t
e
o
r
i
c
w
a
t
e
r
f
l
o
w
.
A
1
2
0
3
r
e
f
l
e
c
t
s
t
h
e
g
r
a
d
u
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
c
h
a
n
g
e
o
f
t
h
e
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
w
i
t
h
i
n
c
r
e
a
s
i
n
g
S
i
O
2
c
o
n
t
e
n
t
o
f
t
h
e
p
u
m
i
c
e
s
a
m
p
l
e
s
(
F
i
g
.
3
3
)
.
C
a
O
c
o
n
c
e
n
t
r
a
t
i
o
n
f
o
r
h
o
r
n
b
l
e
n
d
e
i
s
c
o
n
s
i
s
t
e
n
t
t
h
r
o
u
g
h
o
u
t
t
h
e
r
a
n
g
e
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
w
i
t
h
a
m
e
a
n
v
a
l
u
e
o
f
1
1
.
2
6
w
t
%
C
a
O
.
T
h
e
C
a
O
c
o
n
c
e
n
t
r
a
t
i
o
n
f
o
r
h
o
r
n
b
l
e
n
d
e
o
f
s
a
m
p
l
e
R
2
1
-
1
3
,
t
h
e
m
o
s
t
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
a
t
5
7
w
t
%
S
i
O
z
,
i
s
d
i
s
t
i
n
c
t
l
y
d
i
f
f
e
r
e
n
t
t
h
a
n
h
o
r
n
b
l
e
n
d
e
i
n
t
h
e
o
t
h
e
r
p
u
m
i
c
e
s
a
m
p
l
e
s
(
F
i
g
.
3
4
)
.
T
h
e
m
e
a
n
v
a
l
u
e
o
f
C
a
O
i
n
R
2
1
-
1
3
i
s
9
.
8
3
w
t
%
.
O
t
h
e
r
e
l
e
m
e
n
t
a
l
c
o
n
c
e
n
t
r
a
t
i
o
n
s
f
o
r
R
2
1
-
1
3
d
o
n
o
t
e
x
h
i
b
i
t
s
u
c
h
l
a
r
g
e
v
a
r
i
a
t
i
o
n
s
.
O
n
l
y
t
w
o
g
r
a
i
n
s
o
f
h
o
r
n
b
l
e
n
d
e
w
e
r
e
i
d
e
n
t
i
f
i
e
d
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
n
d
a
r
e
a
s
s
o
c
i
a
t
e
d
w
i
t
h
t
h
e
m
o
s
t
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
(
A
S
-
7
5
,
5
9
w
t
%
S
i
O
Z
)
.
T
h
e
t
w
o
h
o
r
n
b
l
e
n
d
e
g
r
a
i
n
s
a
r
e
r
o
u
g
h
l
y
s
i
m
i
l
a
r
i
n
c
o
m
p
o
s
i
t
i
o
n
t
o
h
o
r
n
b
l
e
n
d
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
H
o
r
n
b
l
e
n
d
e
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
h
a
s
a
s
l
i
g
h
t
l
y
h
i
g
h
e
r
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
C
a
O
,
K
2
0
,
a
n
d
M
g
O
,
a
n
d
,
a
s
l
i
g
h
t
l
y
l
o
w
e
r
F
e
O
c
o
n
c
e
n
t
r
a
t
i
o
n
t
h
a
n
h
o
r
n
b
l
e
n
d
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
h
e
M
g
#
o
f
t
h
e
t
w
o
g
r
a
i
n
s
i
s
a
p
p
r
o
x
i
m
a
t
e
l
y
0
.
7
0
w
h
i
c
h
i
s
s
l
i
g
h
t
l
y
a
b
o
v
e
t
h
e
m
e
a
n
o
f
t
h
e
m
o
s
t
p
r
i
m
i
t
i
v
e
s
a
m
p
l
e
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
M
g
#
=
0
.
6
8
)
(
F
i
g
.
3
5
)
.
9
5
 
 
 
 
 
 
 
 
l
R
A
fl
h
fl
E
3
1
|
N
I
E
5
A
1
I
fl
E
W
l
P
K
J
H
I
l
B
l
I
S
W
I
I
E
F
r
e
g
.
a
2
1
1
.
0
0
1
1
.
5
0
1
2
.
0
0
1
2
.
5
0
1
3
.
0
0
C
o
m
p
o
s
i
t
e
P
u
m
i
c
e
F
r
o
g
.
S
a
m
p
l
e
S
i
O
2
(
w
t
%
)
1
‘
1
1
,
1
1
1
1
1
1
1
1
1
1
3
1
1
—
7
7
6
I
7
1
1
1
1
1
1
|
1
[
I
1
]
1
!
R
2
3
—
1
3
7
0
—
-
+
I
1
1
l
.
R
8
—
4
4
6
9
I
r
v
r
I
1
‘
1
1
1
1
1
1
l
1
1
3
-
4
5
o
n
2
‘
l
1
1
.
5
1
L
3
1
:
l
l
;
3
2
3
-
2
4
6
0
2
‘
1
1
1
1
1
1
;
g
4
4
1
1
;
R
2
3
—
2
7
5
8
3
—
1
1
l
1
!
l
l
l
I
L
I
L
L
J
1
1
2
1
—
1
3
5
7
 
 
 
1
1
.
0
0
1
1
.
5
0
1
2
.
0
0
1
2
.
5
0
1
3
.
0
0
1
1
1
2
0
3
(
w
t
%
)
F
i
g
u
r
e
3
3
.
A
l
0
i
n
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
6
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
S
i
O
2
c
o
n
t
e
n
t
.
M
i
c
r
0
p
r
o
b
e
a
n
a
l
y
s
e
s
f
r
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
9
6
 
 
 
 
 
 
 
 
 
 
 
 
R
A
I
N
I
E
R
R
E
S
A
I
B
R
.
W
F
r
o
g
.
8
6
l
.
2
I
l
l
l
1
1
1
1
#
1
fl
_
'
1
1
1
9
.
6
0
1
0
.
2
0
1
0
.
8
0
1
1
.
4
0
1
2
.
0
0
1
2
.
6
0
C
o
m
p
o
s
i
t
e
P
u
m
i
c
e
F
r
o
g
.
S
a
m
p
l
e
S
i
0
2
(
H
t
l
)
2
=
1
1
1
l
l
l
l
l
1
R
l
i
-
7
7
6
W
I
I
I
I
T
3
-
‘
1
1
1
”
l
l
1
3
2
3
—
1
3
7
0
I
t
l
l
l
I
I
7
1
1
1
[
1
r
1
1
R
8
—
4
4
6
9
2
d
1
1
I
1
1
1
1
R
8
-
4
5
6
6
I
I
I
l
I
‘
7
2
_
.
"
1
1
1
1
1
1
1
1
1
1
l
R
l
l
—
S
6
1
3
l
l
l
I
I
3
l
l
1
1
1
:
u
J
1
1
.
3
2
3
-
2
4
6
0
2
.
.
.
“
1
1
1
l
l
l
l
J
l
a
.
1
3
2
3
—
2
7
5
8
a
I
1
I
l
I
U
2
-
1
'
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
.
1
3
5
7
9
.
6
0
1
0
.
2
0
1
0
.
8
0
1
1
.
4
0
1
2
.
0
0
1
2
.
6
0
0
3
0
(
u
t
l
)
F
i
g
u
r
e
3
4
.
C
a
O
i
n
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
a
m
p
l
e
s
a
r
r
a
n
g
e
d
b
y
i
n
c
r
e
a
s
i
n
g
w
h
o
l
e
p
u
m
i
c
e
S
i
O
2
c
o
n
t
e
n
t
.
M
i
c
r
0
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
g
r
a
i
n
e
d
g
e
s
o
n
l
y
.
9
7
I
A
N
H
W
C
N
'
U
K
'
E
A
b
fl
C
S
N
H
N
R
.
P
K
X
R
N
I
N
J
E
N
E
X
E
P
u
m
i
c
e
F
r
o
g
.
S
a
m
p
l
e
S
i
0
2
(
w
t
%
)
 
“
1
1
1
1
1
1
1
5
-
7
5
5
9
:
I
I
I
I
0
.
6
9
7
0
.
6
9
7
2
0
.
6
9
8
0
.
6
9
9
0
.
6
9
9
3
H
g
O
/
(
H
g
O
+
F
e
O
t
)
 
 
F
i
g
u
r
e
3
5
.
M
g
#
o
f
h
o
r
n
b
l
e
n
d
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
M
i
c
r
0
p
r
o
b
e
a
n
a
l
y
s
e
s
a
r
e
f
r
o
m
t
h
e
g
r
a
i
n
e
d
g
e
o
n
l
y
.
9
8
O
l
i
v
i
n
e
O
l
i
v
i
n
e
d
o
e
s
n
o
t
o
c
c
u
r
a
s
f
o
r
s
t
e
r
i
t
i
c
p
h
e
n
o
c
r
y
s
t
s
w
i
t
h
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
o
n
e
g
r
a
i
n
,
b
u
t
i
n
s
t
e
a
d
o
c
c
u
r
s
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
s
a
M
n
-
r
i
c
h
f
a
y
a
l
i
t
e
.
F
r
o
m
t
h
e
c
l
a
s
s
i
f
i
c
a
t
i
o
n
s
c
h
e
m
e
o
f
M
o
s
s
m
a
n
a
n
d
P
a
w
s
o
n
(
1
9
7
6
)
t
h
e
o
l
i
v
i
n
e
p
h
e
n
o
c
r
y
s
t
s
r
a
n
g
e
i
n
c
o
m
p
o
s
i
t
i
o
n
f
r
o
m
i
r
o
n
k
n
e
b
e
l
i
t
e
t
o
k
n
e
b
e
l
i
t
e
o
f
t
h
e
f
a
y
a
l
i
t
e
-
t
e
p
h
r
o
i
t
e
s
o
l
i
d
-
s
o
l
u
t
i
o
n
s
e
r
i
e
s
(
t
e
p
h
r
o
i
t
e
i
n
d
e
x
:
T
e
2
8
-
T
e
3
7
)
.
C
u
r
r
e
n
t
n
a
m
i
n
g
o
f
o
l
i
v
i
n
e
s
p
e
c
i
e
s
i
s
t
r
e
n
d
i
n
g
a
w
a
y
f
r
o
m
s
p
e
c
i
e
s
s
p
e
c
i
f
i
c
n
a
m
e
s
a
n
d
i
s
m
o
v
i
n
g
t
o
w
a
r
d
s
c
h
e
m
i
c
a
l
m
o
d
i
f
i
e
r
s
.
T
h
u
s
i
n
t
h
i
s
p
a
p
e
r
,
k
n
e
b
e
l
i
t
e
a
n
d
i
r
o
n
k
n
e
b
e
l
i
t
e
w
i
l
l
b
e
r
e
f
e
r
r
e
d
t
o
a
s
m
a
n
g
a
n
o
a
n
f
a
y
a
l
i
t
e
o
r
M
n
-
r
i
c
h
f
a
y
a
l
i
t
e
(
F
i
g
.
3
6
)
.
A
s
i
n
g
l
e
o
l
i
v
i
n
e
g
r
a
i
n
h
a
v
i
n
g
a
f
o
r
s
t
e
r
i
t
e
c
o
m
p
o
s
i
t
i
o
n
o
f
F
0
5
7
w
a
s
i
d
e
n
t
i
f
i
e
d
i
n
s
a
m
p
l
e
A
5
-
6
8
(
7
4
w
t
%
S
i
O
Z
)
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
T
h
i
s
g
r
a
i
n
m
a
y
b
e
x
e
n
o
c
r
y
s
t
i
c
i
n
o
r
i
g
i
n
.
M
a
n
g
a
n
e
s
e
-
r
i
c
h
f
a
y
a
l
i
t
e
s
h
a
v
e
n
o
t
b
e
e
n
d
o
c
u
m
e
n
t
e
d
i
n
v
o
l
c
a
n
i
c
r
o
c
k
s
p
r
i
o
r
t
o
t
h
i
s
o
c
c
u
r
r
e
n
c
e
a
n
d
a
r
e
m
o
r
e
c
o
m
m
o
n
l
y
a
s
s
o
c
i
a
t
e
d
w
i
t
h
M
n
-
r
i
c
h
m
e
t
a
s
o
m
a
t
i
z
e
d
s
e
d
i
m
e
n
t
a
r
y
r
o
c
k
s
s
u
c
h
a
s
t
h
o
s
e
a
t
t
h
e
B
l
u
e
b
e
l
l
M
i
n
e
,
B
r
i
t
i
s
h
C
o
l
u
m
b
i
a
(
M
o
s
s
m
a
n
a
n
d
P
a
w
s
o
n
,
1
9
7
6
;
M
i
l
l
s
a
n
d
R
o
s
e
,
1
9
9
1
)
.
P
e
t
r
o
g
r
a
p
h
y
T
h
e
M
n
-
r
i
c
h
f
a
y
a
l
i
t
e
s
f
r
o
m
t
h
i
s
s
t
u
d
y
w
e
r
e
f
i
r
s
t
i
d
e
n
t
i
f
i
e
d
v
i
a
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
i
s
o
n
g
r
a
i
n
m
o
u
n
t
s
m
a
d
e
f
r
o
m
c
r
u
s
h
e
d
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
R
e
-
e
x
a
m
i
n
a
t
i
o
n
9
9
 
F
O
R
S
T
E
R
I
T
E
A
-
n
o
n
i
a
T
a
n
k
s
H
b
r
.
(
t
h
i
s
s
t
u
d
y
)
M
a
h
o
o
d
(
1
9
8
”
8
0
I
fl
a
r
s
h
a
w
a
n
d
S
m
i
t
h
(
I
9
8
8
)
D
C
a
r
m
i
c
h
a
e
l
(
l
9
6
7
)
6
0
4
0
2
0
I
“
3
.
6
’
1
1
.
7
1
.
3
7
.
(
5
u
*
v
v
v
u
u
F
A
Y
A
L
I
T
E
2
°
4
°
6
°
8
°
T
E
P
H
R
O
W
E
F
i
g
u
r
e
3
6
.
M
a
n
g
a
n
o
a
n
f
a
y
a
l
i
t
e
c
o
m
p
o
s
i
t
i
o
n
s
d
e
t
e
r
m
i
n
e
d
f
r
o
m
e
l
e
c
t
r
o
n
m
i
c
r
0
p
r
o
b
e
a
n
a
l
y
s
e
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
O
l
i
v
i
n
e
c
o
m
p
o
s
i
t
i
o
n
s
f
r
o
m
o
t
h
e
r
r
h
y
o
l
i
t
i
c
f
l
o
w
s
a
n
d
t
u
f
f
s
a
r
e
p
l
o
t
t
e
d
f
o
r
r
e
f
e
r
e
n
c
e
.
1
0
0
o
f
t
h
i
n
s
e
c
t
i
o
n
s
m
a
d
e
f
r
o
m
t
h
e
o
l
i
v
i
n
e
-
b
e
a
r
i
n
g
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
r
e
v
e
a
l
e
d
s
e
v
e
r
a
l
p
o
t
e
n
t
i
a
l
g
r
a
i
n
s
.
M
o
s
t
o
f
t
h
e
M
n
-
r
i
c
h
f
a
y
a
l
i
t
e
g
r
a
i
n
s
a
r
e
0
.
1
-
0
.
2
m
m
i
n
l
e
n
g
t
h
,
a
r
e
h
i
g
h
l
y
b
i
r
e
f
r
i
n
g
e
n
t
,
a
n
d
a
r
e
a
c
i
c
u
l
a
r
i
n
h
a
b
i
t
.
N
o
o
p
t
i
c
a
l
d
a
t
a
c
o
u
l
d
b
e
o
b
t
a
i
n
e
d
d
u
e
t
o
t
h
e
s
m
a
l
l
s
i
z
e
o
f
t
h
e
g
r
a
i
n
s
.
B
a
c
k
s
c
a
t
t
e
r
e
d
e
l
e
c
t
r
o
n
i
m
a
g
e
s
o
f
t
h
e
M
n
-
r
i
c
h
f
a
y
a
l
i
t
e
g
r
a
i
n
s
w
e
r
e
p
h
o
t
o
g
r
a
p
h
e
d
u
s
i
n
g
t
h
e
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
d
a
r
e
p
r
e
s
e
n
t
e
d
i
n
F
i
g
u
r
e
3
7
.
H
i
g
h
—
m
a
g
n
i
f
i
c
a
t
i
o
n
i
m
a
g
e
s
o
f
t
h
e
M
n
-
r
i
c
h
f
a
y
a
l
i
t
e
p
h
e
n
o
c
r
y
s
t
s
d
i
d
n
o
t
r
e
v
e
a
l
a
n
y
f
i
n
e
-
s
c
a
l
e
s
t
r
u
c
t
u
r
e
.
T
r
a
c
e
P
h
e
n
o
c
r
y
s
t
P
h
a
s
e
s
P
e
t
r
o
g
r
a
p
h
y
S
e
v
e
r
a
l
t
r
a
c
e
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
a
r
e
p
r
e
s
e
n
t
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
A
p
a
t
i
t
e
,
c
h
e
v
k
i
n
i
t
e
,
p
e
r
r
i
e
r
i
t
e
,
a
n
d
z
i
r
c
o
n
a
r
e
c
o
m
m
o
n
t
o
b
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
.
M
o
n
a
z
i
t
e
a
n
d
s
p
h
e
n
e
o
c
c
u
r
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
r
e
s
p
e
c
t
i
v
e
l
y
.
A
p
a
t
i
t
e
i
s
u
b
i
q
u
i
t
o
u
s
t
h
r
o
u
g
h
o
u
t
b
o
t
h
m
e
m
b
e
r
s
a
n
d
c
o
m
m
o
n
l
y
o
c
c
u
r
s
a
s
e
u
h
e
d
r
a
l
,
a
c
i
c
u
l
a
r
p
o
i
k
i
o
c
r
y
s
t
s
i
n
p
l
a
g
i
o
c
l
a
s
e
,
b
i
o
t
i
t
e
,
h
o
r
n
b
l
e
n
d
e
,
c
l
i
n
o
p
y
r
o
x
e
n
e
,
a
n
d
m
a
g
n
e
t
i
t
e
.
A
p
a
t
i
t
e
c
a
n
u
s
u
a
l
l
y
b
e
i
d
e
n
t
i
f
i
e
d
w
i
t
h
i
n
t
h
e
g
l
a
s
s
y
m
a
t
r
i
x
o
f
m
o
s
t
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
T
h
e
p
s
e
u
d
o
m
o
r
p
h
s
,
c
h
e
v
k
i
n
i
t
e
a
n
d
p
e
r
r
i
e
r
i
t
e
(
C
e
4
F
e
2
T
i
3
(
S
i
Z
O
7
)
2
0
8
a
n
d
(
C
a
,
C
e
,
T
h
)
4
(
M
g
,
F
e
)
2
(
T
i
,
F
e
)
3
S
i
4
0
2
2
r
e
s
p
e
c
t
i
v
e
l
y
(
P
h
i
l
l
i
p
s
a
n
d
G
r
i
f
f
e
n
,
1
9
8
1
)
)
,
a
r
e
r
e
l
a
t
i
v
e
l
y
a

i

n

o

m

m

A

e

h

t

n

i

s

t

s

y

r

c

o

n

e

h

p

e

t

i

l

a

y

a

f

n

a

o

n

a

g

n

a

m

f

o

s

h

p

a

r

g

o

r

c

i

m

o

t

o

h

p

n

o

r

t

c

e

l

e

d

e

.

r

r

e

e

t

b

t

m

a

e

c

M

s

-

s

k

k

c

n

a

a

B

T

.

7

3

e

r

u

g

i

F

 
l
O
l
1
0
2
c
o
m
m
o
n
i
n
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
C
h
e
v
k
i
n
i
t
e
a
n
d
p
e
r
r
i
e
r
i
t
e
a
r
e
m
o
s
t
c
o
m
m
o
n
l
y
f
o
u
n
d
a
s
i
n
c
l
u
s
i
o
n
s
i
n
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
a
n
d
l
e
s
s
c
o
m
m
o
n
l
y
i
n
c
l
i
n
o
p
y
r
o
x
e
n
e
a
n
d
b
i
o
t
i
t
e
g
r
a
i
n
s
.
T
h
e
y
m
a
y
b
e
a
s
s
o
c
i
a
t
e
d
w
i
t
h
o
t
h
e
r
i
n
c
l
u
s
i
o
n
s
o
f
a
p
a
t
i
t
e
,
z
i
r
c
o
n
,
a
n
d
+
/
-
s
p
h
e
n
e
.
I
n
t
h
i
n
s
e
c
t
i
o
n
,
t
h
e
g
r
a
i
n
s
a
r
e
v
e
r
y
d
i
f
f
i
c
u
l
t
t
o
d
i
s
t
i
n
g
u
i
s
h
f
r
o
m
z
i
r
c
o
n
.
S
E
M
i
m
a
g
e
s
o
f
m
a
g
n
e
t
i
t
e
/
i
l
m
e
n
i
t
e
g
r
a
i
n
m
o
u
n
t
s
h
o
w
e
v
e
r
c
a
n
b
e
u
s
e
d
t
o
e
a
s
i
l
y
d
i
s
t
i
n
g
u
i
s
h
c
h
e
v
k
i
n
i
t
e
f
r
o
m
t
h
e
o
t
h
e
r
t
r
a
c
e
p
h
a
s
e
s
a
s
t
h
e
c
h
e
v
k
i
n
i
t
e
g
r
a
i
n
s
a
r
e
t
y
p
i
c
a
l
l
y
b
r
i
g
h
t
w
h
i
t
e
i
n
c
o
l
o
r
(
F
i
g
.
3
8
)
.
T
h
e
R
E
E
b
e
a
r
i
n
g
p
h
a
s
e
s
,
s
u
c
h
a
s
c
h
e
v
k
i
n
i
t
e
,
a
r
e
s
i
g
n
i
f
i
c
a
n
t
i
n
t
h
a
t
t
h
e
y
s
t
r
o
n
g
l
y
c
o
n
t
r
o
l
t
h
e
d
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
o
f
t
h
e
l
i
g
h
t
r
a
r
e
-
e
l
e
m
e
n
t
s
i
n
d
a
c
i
t
i
c
t
o
r
h
y
o
l
i
t
i
c
m
a
g
m
a
s
(
c
f
.
M
i
c
h
a
e
l
,
1
9
8
8
)
.
Z
i
r
c
o
n
i
s
m
o
s
t
c
o
m
m
o
n
l
y
f
o
u
n
d
w
i
t
h
i
n
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
a
n
d
l
e
s
s
c
o
m
m
o
n
l
y
w
i
t
h
i
n
b
i
o
t
i
t
e
a
n
d
c
l
i
n
o
p
y
r
o
x
e
n
e
p
h
e
n
o
c
r
y
s
t
s
.
T
h
e
z
i
r
c
o
n
s
a
r
e
u
s
u
a
l
l
y
e
u
h
e
d
r
a
l
a
n
d
h
a
v
e
s
e
c
o
n
d
-
o
r
d
e
r
b
i
r
e
f
r
i
n
g
e
n
c
e
.
M
o
n
a
z
i
t
e
w
a
s
o
n
l
y
i
d
e
n
t
i
f
i
e
d
i
n
a
f
e
w
m
a
f
i
c
s
i
l
i
c
a
t
e
g
r
a
i
n
m
o
u
n
t
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
I
n
t
h
i
n
s
e
c
t
i
o
n
,
m
o
n
a
z
i
t
e
w
a
s
o
n
l
y
p
o
s
i
t
i
v
e
l
y
i
d
e
n
t
i
f
i
e
d
a
s
a
n
i
n
c
l
u
s
i
o
n
i
n
b
i
o
t
i
t
e
i
n
s
a
m
p
l
e
R
8
-
2
3
(
6
7
w
t
%
S
i
O
Z
)
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
G
r
a
i
n
s
o
f
m
o
n
a
z
i
t
e
w
e
r
e
a
s
s
o
c
i
a
t
e
d
w
i
t
h
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
m
i
c
r
o
p
r
o
b
e
m
o
u
n
t
s
.
W
a
r
r
e
n
,
e
t
a
l
.
,
(
1
9
8
9
)
h
o
w
e
v
e
r
,
h
a
v
e
i
n
d
i
c
a
t
e
d
t
h
a
t
m
o
n
a
z
i
t
e
m
a
y
b
e
m
o
r
e
c
o
m
m
o
n
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
l
0
3
 
F
i
g
u
r
e
3
8
.
I
l
m
e
n
i
t
e
g
r
a
i
n
f
r
o
m
s
a
m
p
l
e
R
2
3
—
l
3
w
i
t
h
i
n
c
l
u
s
i
o
n
s
o
f
c
h
e
v
k
i
n
i
t
e
(
w
h
i
t
e
)
,
z
i
r
c
o
n
(
w
h
i
t
e
,
s
q
u
a
r
e
o
u
t
l
i
n
e
s
)
a
n
d
a
p
a
t
i
t
e
(
d
a
r
k
e
l
o
n
g
a
t
e
i
n
c
l
u
s
i
o
n
s
)
.
S
c
a
l
e
b
a
r
o
n
t
h
e
b
o
t
t
o
m
r
i
g
h
t
o
f
t
h
e
p
h
o
t
o
i
s
1
0
0
m
i
c
r
o
n
s
l
o
n
g
.
1
0
4
t
h
a
n
w
a
s
f
o
u
n
d
i
n
t
h
i
s
s
t
u
d
y
.
T
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
s
m
o
n
a
z
i
t
e
f
r
e
e
.
S
p
h
e
n
e
i
s
a
b
u
n
d
a
n
t
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
n
d
s
p
a
r
s
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
h
e
r
e
f
o
r
e
,
i
t
h
a
s
b
e
e
n
u
s
e
d
a
s
a
n
i
n
d
i
c
a
t
o
r
m
i
n
e
r
a
l
b
y
s
e
v
e
r
a
l
w
o
r
k
e
r
s
f
o
r
p
e
t
r
o
g
r
a
p
h
i
c
a
l
l
y
d
i
s
t
i
n
g
u
i
s
h
i
n
g
s
a
m
p
l
e
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
a
n
d
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
s
c
o
l
l
e
c
t
e
d
d
u
r
i
n
g
d
r
i
l
l
i
n
g
(
c
f
.
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
)
.
P
h
e
n
o
c
r
y
s
t
s
o
f
s
p
h
e
n
e
a
r
e
r
e
a
d
i
l
y
i
d
e
n
t
i
f
i
a
b
l
e
i
n
t
h
i
n
s
e
c
t
i
o
n
b
y
t
h
e
i
r
h
i
g
h
r
e
l
i
e
f
,
l
i
g
h
t
b
r
o
w
n
c
o
l
o
r
,
a
n
d
c
h
a
r
a
c
t
e
r
i
s
t
i
c
w
e
d
g
e
s
h
a
p
e
.
T
h
e
s
e
p
h
e
n
o
c
r
y
s
t
s
a
r
e
u
s
u
a
l
l
y
f
o
u
n
d
a
s
s
o
c
i
a
t
e
d
w
i
t
h
t
h
e
m
a
f
i
c
s
i
l
i
c
a
t
e
p
h
e
n
o
c
r
y
s
t
s
s
u
c
h
a
s
b
i
o
t
i
t
e
a
n
d
c
l
i
n
o
p
y
r
o
x
e
n
e
.
S
B
M
i
m
a
g
i
n
g
a
l
s
o
s
h
o
w
s
s
p
h
e
n
e
a
s
a
c
o
m
m
o
n
i
n
c
l
u
s
i
o
n
i
n
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
r
a
c
h
y
d
a
c
i
t
i
c
t
o
r
h
y
o
l
i
t
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
.
T
h
e
p
r
e
s
e
n
c
e
o
f
a
b
u
n
d
a
n
t
s
p
h
e
n
e
a
n
d
p
a
u
c
i
t
y
o
f
i
l
m
e
n
i
t
e
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
s
o
p
p
o
s
e
d
t
o
t
h
e
r
e
v
e
r
s
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
m
a
y
b
e
a
f
u
n
c
t
i
o
n
o
f
m
a
g
m
a
t
i
c
o
x
y
g
e
n
f
u
g
a
c
i
t
y
a
n
d
s
i
l
i
c
a
a
c
t
i
v
i
t
y
w
h
i
c
h
w
i
l
l
b
e
d
i
s
c
u
s
s
e
d
i
n
a
l
a
t
e
r
s
e
c
t
i
o
n
.
G
l
a
s
s
C
h
e
m
i
s
t
r
y
C
o
m
p
o
s
i
t
i
o
n
a
l
d
a
t
a
f
o
r
t
h
e
m
a
t
r
i
x
g
l
a
s
s
e
s
(
d
e
t
e
r
m
i
n
e
d
b
y
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
)
o
f
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
r
e
v
e
a
l
s
d
i
s
t
i
n
c
t
d
i
f
f
e
r
e
n
c
e
s
b
e
t
w
e
e
n
g
l
a
s
s
e
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
1
0
5
M
e
m
b
e
r
.
A
s
s
h
o
u
l
d
b
e
e
x
p
e
c
t
e
d
,
g
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
f
o
r
b
o
t
h
m
e
m
b
e
r
s
b
e
c
o
m
e
m
o
r
e
f
e
l
s
i
c
i
n
a
s
y
s
t
e
m
a
t
i
c
f
a
s
h
i
o
n
f
r
o
m
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
D
i
s
t
i
n
c
t
i
o
n
b
e
t
w
e
e
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
o
f
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
o
r
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
a
n
b
e
m
a
d
e
i
n
m
o
s
t
c
a
s
e
s
u
s
i
n
g
t
h
e
g
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
f
o
r
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
r
h
y
o
l
i
t
e
s
a
m
p
l
e
s
.
T
h
e
o
v
e
r
a
l
l
g
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
r
e
t
y
p
i
c
a
l
l
y
m
o
r
e
m
a
f
i
c
t
h
a
n
t
h
o
s
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
a
r
e
d
i
f
f
i
c
u
l
t
t
o
d
i
s
t
i
n
g
u
i
s
h
b
a
s
e
d
o
n
m
a
j
o
r
-
e
l
e
m
e
n
t
g
l
a
s
s
c
h
e
m
i
s
t
r
y
;
t
h
i
s
i
n
c
l
u
d
e
s
d
i
s
t
i
n
c
t
i
o
n
b
e
t
w
e
e
n
t
h
e
h
i
g
h
-
N
b
a
n
d
l
o
w
-
N
b
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
H
i
s
t
o
g
r
a
m
s
o
f
S
i
O
Z
,
A
1
2
0
3
,
F
e
O
,
K
Z
O
,
C
a
O
,
a
n
d
T
i
o
z
f
r
o
m
g
l
a
s
s
a
n
a
l
y
s
e
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
r
e
d
i
s
t
i
n
c
t
l
y
p
o
l
y
m
o
d
a
l
(
F
i
g
.
3
9
a
-
f
)
.
S
i
l
i
c
a
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
g
l
a
s
s
e
s
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
a
s
s
o
c
i
a
t
e
d
w
i
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
h
a
v
e
a
n
a
b
s
o
l
u
t
e
r
a
n
g
e
o
f
6
8
.
1
1
w
t
%
S
i
O
2
t
o
7
8
.
1
5
w
t
%
S
i
O
Z
.
T
h
e
m
o
s
t
m
a
f
i
c
c
o
m
p
o
s
i
t
i
o
n
s
o
f
g
l
a
s
s
d
o
n
o
t
h
o
w
e
v
e
r
o
c
c
u
r
i
n
t
h
e
m
o
s
t
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
.
G
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
i
n
t
h
e
6
8
w
t
%
t
o
6
9
w
t
%
S
i
0
2
r
a
n
g
e
o
c
c
u
r
i
n
s
e
v
e
r
a
l
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
h
a
v
i
n
g
b
u
l
k
5
1
0
2
v
a
l
u
e
s
r
a
n
g
i
n
g
f
r
o
m
6
1
w
t
%
t
o
7
6
w
t
%
8
1
0
2
(
F
i
g
.
3
9
a
)
.
T
h
i
s
i
s
a
l
s
o
c
o
n
s
i
s
t
e
n
t
f
o
r
o
t
h
e
r
e
l
e
m
e
n
t
a
l
c
o
m
p
o
n
e
n
t
s
s
u
c
h
a
s
F
8
0
,
A
1
2
0
3
,
T
2
1
0
2
,
a
n
d
B
a
O
.
1
0
6
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F
r
e
g
.
1
3
7
0
7
2
7
4
7
6
7
8
C
o
m
p
o
s
i
t
e
P
u
m
i
c
e
F
r
e
g
.
S
a
m
p
l
e
5
1
0
2
(
w
t
%
)
6
4
-
1
1
I
:
I
,
R
I
B
-
1
6
7
7
5
—
1
2
.
.
‘
1
1
1
1
1
1
1
1
M
l
l
l
h
h
fl
R
1
1
-
7
7
6
5
-
2
.
.
=
1
1
1
1
“
1
8
’
2
7
5
1
1
1
1
3
2
1
—
5
2
.
1
-
1
1
1
1
1
1
1
1
1
1
1
1
1
l
1
R
2
3
-
1
3
7
0
l
i
I
I
I
3
“
I
.
4
4
=
1
1
1
l
u
l
n
n
1
.
1
1
“
8
'
'
1
1
'
n
2
1
-
1
6
9
2
‘
"
1
1
1
1
p
H
!
1
1
1
R
8
-
2
5
6
7
5
.
.
2
:
‘
1
1
t
h
1
1
1
R
8
~
4
5
6
6
(
O
:
'
I
'
I
l
=
1
1
u
h
l
,
1
1
R
2
3
-
2
6
6
4
v
1
—
I
V
I
4
-
i
B
1
1
1
4
1
1
1
1
1
1
1
3
1
1
—
5
6
1
2
—
‘
—
—
—
—
—
H
U
J
L
J
-
1
1
1
R
2
3
—
2
4
6
o
6
-
I
I
I
-
1
1
1
J
|
1
1
1
1
3
2
3
-
2
7
5
8
5
-
2
:
:
1
g
;
¢
.
1
1
1
R
2
1
-
1
3
5
7
 
 
 
7
0
7
2
7
4
7
6
7
8
5
1
0
2
(
w
t
%
)
F
i
g
u
r
e
3
9
a
.
H
i
s
t
o
g
r
a
m
s
o
f
g
l
a
s
s
y
m
a
t
r
i
x
c
o
m
p
o
s
i
t
i
o
n
s
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
d
e
t
e
r
m
i
n
e
d
b
y
e
l
e
c
t
r
o
n
m
i
c
r
0
p
r
o
b
e
a
n
a
l
y
s
i
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
i
0
2
.
1
0
7
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F
r
e
g
.
1
2
8
6
b
2
1
2
.
0
1
3
.
2
1
4
.
4
1
5
.
6
1
6
.
8
1
8
.
0
C
o
m
o
r
i
t
e
P
u
m
i
c
e
F
r
c
g
.
9
J
’
S
a
m
p
l
e
S
i
O
2
(
w
t
%
)
3
.
1
A
l
I
=
1
u
h
.
1
1
R
1
8
_
1
6
7
7
5
-
"
l
l
L
l
U
l
1
1
1
1
1
1
?
3
1
1
-
7
7
6
7
.
.
z
:
I
R
I
B
-
2
7
1
1
“
]
e
e
1
1
1
8
u
1
5
5
3
"
1
l
“
1
1
1
1
1
n
u
1
1
n
1
R
2
3
—
1
3
7
o
3
.
.
.
.
1
1
8
-
4
4
-
‘
1
1
1
l
l
h
fl
1
1
9
1
1
R
Z
I
-
l
6
9
2
:
:
1
1
1
1
.
1
1
1
H
1
1
1
R
B
-
Z
S
6
7
a
-
T
I
I
I
Y
I
"
‘
1
.
_
_
1
_
.
_
.
I
.
u
l
l
l
_
_
_
.
_
1
_
1
1
8
—
4
5
6
6
l
.
—
1
-
l
;
;
1
Q
!
I
1
'
;
:
R
2
3
-
2
6
6
4
2
:
1
1
1
1
1
I
N
!
“
1
l
R
l
l
-
S
6
1
2
1
.
1
1
1
1
J
l
fl
l
1
l
1
8
2
3
—
2
4
6
0
5
—
:
1
1
1
1
“
I
I
“
I
1
1
2
3
—
2
7
5
8
3
—
 
1
2
.
0
1
3
.
2
1
4
.
4
1
5
.
6
1
6
.
8
1
8
.
0
4
1
2
0
3
(
u
1
1
)
F
i
g
u
r
e
3
9
b
.
A
1
2
0
3
i
n
p
u
m
i
c
e
o
u
s
g
i
a
s
s
,
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
2

1

~

d

b

d

1
0
8
R
A
I
N
I
E
R
M
E
S
A
E
B
B
.
G
L
A
S
S
 
 
 
 
 
F
r
e
g
.
1
4
1
2
1
0
i
2
J
1
1
1
1
;
!
I
1
1
%
0
.
7
1
.
4
2
.
1
2
.
8
3
.
5
C
o
m
p
o
s
i
t
e
P
u
m
i
c
e
F
r
e
.
S
a
m
p
l
e
S
i
O
2
(
w
t
%
)
’
1
1
H
1
‘
m
i
1
1
R
l
8
-
1
6
7
7
9
_
.
fl
=
:
3
U
1
1
I
;
1
R
l
l
—
‘
I
7
6
E
;
R
I
B
-
2
r
fl
h
fl
“
!
‘
4
1
1
8
2
1
-
5
7
5
7
.
_
n
h
u
_
m
1
i
1
a
1
.
R
2
3
-
1
3
7
0
=
J
]
1
L
1
1
i
t
s
—
[
.
4
[
‘
T
1
1
2
1
—
1
6
9
 
4
%
d
b
 
 
 
 
 
 
 
 
 
 
 
2
=
J
'
1
1
l
1
1
e
1
1
:
1
8
8
-
2
5
6
7
5
—
=
,
_
_
l
_
|
.
_
l
l
.
L
u
l
1
1
1
1
1
8
-
4
5
(
,
6
I
I
7
.
.
‘
"
'
1
1
1
1
1
1
1
1
1
2
3
—
2
6
6
4
2
=
:
1
1
”
[
1
1
1
1
]
1
1
1
1
R
l
l
-
S
6
1
2
:
:
l
1
!
”
1
1
1
1
4
1
1
8
2
3
-
2
4
6
0
l
I
I
W
I
2
:
J
i
l
l
l
l
L
L
1
l
1
1
1
1
1
2
3
—
2
7
5
8
3
.
.
—
-
1
1
A
1
1
1
“
“
1
1
1
1
1
2
1
-
1
3
5
7
0
.
7
1
.
4
2
.
1
2
.
8
3
.
5
F
e
O
(
w
t
%
)
F
i
g
u
r
e
3
9
c
.
F
e
O
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
1
0
9
R
A
I
N
I
E
R
R
E
S
A
M
B
R
.
G
L
A
S
S
F
r
e
g
.
1
8
1
4
 
 
1
.
2
2
.
4
3
.
6
4
.
8
6
.
0
7
.
2
 
 
 
 
 
 
 
 
 
 
 
 
 
 
C
o
m
p
o
s
i
t
e
P
u
m
i
c
e
[
1
3
3
;
S
a
m
p
l
e
5
1
0
2
(
w
t
%
)
7
2
=
l
1
1
1
1
'
1
1
“
1
1
[
(
1
8
-
1
6
7
7
5
a
n
=
1
1
1
1
1
l
fi
1
J
L
I
L
I
l
n
—
L
J
1
1
1
1
—
7
7
6
-
I
'
l
l
l
l
l
l
l
l
I
R
1
8
-
2
I
,
=
‘
i
i
l
1
1
2
1
-
5
7
5
3
-
1
1
1
-
I
'
I
1
"
1
1
1
2
3
—
1
3
7
o
:
1
L
i
l
—
[
H
1
1
8
-
4
4
1
1
fi
‘
‘
[
3
1
R
2
1
-
1
6
9
=
1
1
1
J
1
fl
|
_
|
_
1
_
d
R
8
-
2
5
6
7
fl
=
1
1
.
1
1
1
1
8
-
4
5
6
6
l
.
=
v
I
fl
I
=
1
1
1
1
4
4
t
h
.
—
8
2
3
—
2
6
6
4
3
_
J
=
1
1
1
1
J
l
l
l
-
l
l
l
L
—
1
—
1
1
1
1
-
5
6
1
6
_
.
_
‘
1
1
I
J
»
1
1
R
2
3
—
2
4
6
0
2
.
—
‘
1
1
1
1
J
l
l
L
l
l
,
_
_
1
_
.
R
2
3
—
2
7
5
8
5
.
—
-
‘
1
1
1
-
I
I
I
1
R
2
1
—
l
3
5
7
 
1
.
2
2
.
4
3
.
6
4
.
8
6
.
0
7
.
2
K
2
0
(
w
t
l
)
F
i
g
u
r
e
3
9
d
.
K
2
0
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
l1

o

a

a

l

~

l

¢

l

l

l 

l

l

l

9

l

¢

l

n

1

I

,

J

N

O

I

I

“

L

l

l

l

l

l

l

l

b

i

n

h

D

‘

I

b

d

’

1

b

d

P

d

-

F

i

g

u

r

e

3

9

e

.

C

a

O

i

n

p

u

m

i

c

e

o

u

s

g

l

a

s

s

,

R

a

i

n

i

e

r

M

e

s

a

M

e

m

b

e

r

.

1
1
0
R
A
I
N
I
E
R
W
S
A
M
B
R
.
F
r
e
g
.
2
3
.
.
.
1
7
—
 
0
.
0
0
.
5
1
.
0
F
r
e
g
.
o
n
v
0
I
]
.
h
I
.
I
.
'
I
1
1
2
 
l
g
G
I
A
S
S
 
l
 
C
o
m
p
o
s
i
t
e
.
J
L
.
L
J
J
L
+
—
—
—
#
L
—
1
'
1
i
.
“
h
"
"
1
a
n
I
1
.
5
2
.
0
2
.
5
 
fl
=
I
n
[
L
U
L
l
I
a
1
—
7
F
I
m
.
1
l
.
I
1
|
|
|
l
l
1
l
.
=
1
m
"
!
1
I
l
I
q
fl
u
p
G
.
I
.
 
.
L
V
1
_
fl
fl
1
d
l
l
I
 
 
l
1
I
0
.
0
0
.
5
1
.
0
1
.
5
2
.
0
C
a
O
(
w
t
%
)
I
|
|
|
|
|
|
l
l
I
 
I
V
2
.
5
 
P
u
m
i
c
e
S
a
m
p
l
e
5
1
0
2
(
w
t
%
)
R
I
B
-
l
6
7
7
R
1
1
-
7
7
6
R
Z
I
-
S
8
2
3
-
1
3
7
0
R
8
-
4
4
R
2
1
-
1
6
9
8
8
-
2
5
6
7
3
8
-
4
5
6
6
R
2
3
—
2
6
6
6
R
l
l
-
S
6
1
R
2
3
-
2
6
6
0
R
2
3
—
2
7
5
8
R
2
1
-
1
3
5
7
_

_

_

_

+

_

1

“

=

_

=

a

l

l

I

F

i

g

u

r

e

3

9

f

.

T

i

O

2

i

n

p

u

m

i

c

e

o

I

I

u

J

fl

L

|

1

1

1

1
'

1

1
I

1

1

'

s

g

l

a

s

s

,

R

a

i

n

i

e

r

M

e

3

R

8

2

s

-

3

6

-

5

2

6

6

6

6

a

a

M

e

m

b

e

r

.

J

u

1
H
 
 
 
 
 
 
 
 
 
 
F
r
e
g
.
1
5
1
1
3
6
I
4
2
[
A
:
1
0
.
1
5
0
.
3
0
0
.
4
5
0
.
6
0
0
.
7
5
P
u
m
i
c
e
f
r
o
g
.
C
o
m
p
o
s
i
t
e
S
a
m
p
l
e
S
i
O
2
(
w
t
%
)
6
.
4
=
=
I
“
!
l
1
1
,
;
R
1
8
—
1
6
7
7
7
—
"
'
1
'
1
1
l
1
1
n
1
1
-
7
7
6
5
.
.
"
R
I
B
-
2
=
l
l
l
l
l
l
1
1
1
1
1
1
2
1
—
5
7
5
3
_
_
.
"
1
1
h
"
'
1
1
1
1
R
2
3
-
1
3
7
0
5
‘
l
2
;
0
8
-
6
6
1
'
l
l
‘
1
1
1
1
:
3
2
1
-
1
6
9
3
‘
=
1
_
1
1
I
L
I
1
I
1
1
1
1
8
-
2
5
6
7
5
'
I
I
'
I
3
1
1
—
5
6
1
 
 
 
 
I
.
1
»
q
E
I
.
u
p
R
2
3
-
2
6
6
0
:
1
J
u
l
.
—
:
5
3
i
R
2
3
-
2
7
5
8
“
“
I
u
1
1
R
2
1
-
l
3
5
7
0
.
1
5
0
.
3
0
0
.
6
5
0
.
6
0
0
.
7
5
1
1
0
2
(
0
:
1
)
 
 
 
 
 
 
 
1
1
2
C
o
n
v
e
r
s
e
l
y
,
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
S
i
O
Z
,
A
1
2
0
3
,
F
e
O
,
K
2
0
,
C
a
O
a
n
d
T
i
0
2
i
n
t
h
e
g
l
a
s
s
m
a
t
r
i
x
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
v
a
r
y
s
y
s
t
e
m
a
t
i
c
a
l
l
y
f
r
o
m
t
h
e
l
o
w
e
r
t
o
h
i
g
h
e
r
w
h
o
l
e
-
p
u
m
i
c
e
s
i
l
i
c
a
c
o
n
t
e
n
t
s
(
F
i
g
.
4
0
a
-
f
)
.
T
h
e
c
o
m
p
o
s
i
t
i
o
n
o
f
g
l
a
s
s
e
s
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
a
t
6
4
w
t
%
8
1
0
2
d
o
n
o
t
c
h
a
n
g
e
s
i
g
n
i
f
i
c
a
n
t
l
y
.
G
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
f
o
r
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
r
e
c
o
n
s
t
a
n
t
f
r
o
m
w
h
o
l
e
p
u
m
i
c
e
s
i
l
i
c
a
v
a
l
u
e
s
o
f
7
2
w
t
%
8
1
0
2
t
o
7
8
w
t
%
S
i
O
Z
.
B
e
t
w
e
e
n
6
4
w
t
%
S
i
O
Z
a
n
d
7
2
w
t
%
S
i
0
2
t
h
e
g
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
v
a
r
y
i
n
a
s
y
s
t
e
m
a
t
i
c
f
a
s
h
i
o
n
.
W
i
t
h
i
n
t
h
i
s
i
n
t
e
r
v
a
l
,
t
h
e
v
a
r
i
o
u
s
m
a
j
o
r
e
l
e
m
e
n
t
o
x
i
d
e
s
e
i
t
h
e
r
i
n
c
r
e
a
s
e
o
r
d
e
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
a
s
t
h
e
w
h
o
l
e
-
p
u
m
i
c
e
S
i
0
2
i
n
c
r
e
a
s
e
s
.
I
n
s
a
m
p
l
e
s
R
8
-
2
5
(
6
7
w
t
%
S
i
O
z
)
a
n
d
R
1
1
-
5
(
6
1
w
t
%
S
i
0
2
)
t
h
e
p
r
e
s
e
n
c
e
o
f
a
n
o
m
a
l
o
u
s
g
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
(
6
8
w
t
%
a
n
d
6
9
w
t
%
S
i
0
2
r
e
s
p
e
c
t
i
v
e
l
y
)
m
a
y
r
e
p
r
e
s
e
n
t
a
m
o
r
e
m
a
f
i
c
c
o
m
p
o
n
e
n
t
n
o
t
r
e
c
o
g
n
i
z
e
d
i
n
t
h
e
b
u
l
k
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
h
e
m
i
c
a
l
a
n
a
l
y
s
e
s
(
A
p
p
e
n
d
i
x
3
)
.
G
e
o
t
h
e
r
m
o
m
e
t
r
y
a
n
d
G
e
o
b
a
r
o
m
e
t
r
y
F
e
-
T
i
O
x
i
d
e
G
e
o
t
h
e
r
m
o
m
e
t
r
y
A
s
c
o
m
p
o
s
i
t
i
o
n
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
g
r
a
d
i
e
n
t
s
i
n
a
s
h
-
f
l
o
w
s
h
e
e
t
s
a
r
e
g
e
n
e
r
a
l
l
y
a
c
k
n
o
w
l
e
d
g
e
d
t
o
r
e
p
r
e
s
e
n
t
p
r
e
-
e
r
u
p
t
i
v
e
g
r
a
d
i
e
n
t
s
i
n
t
h
e
p
a
r
e
n
t
a
l
m
a
g
m
a
c
h
a
m
b
e
r
,
s
y
s
t
e
m
a
t
i
c
v
a
r
i
a
t
i
o
n
s
i
n
c
a
l
c
u
l
a
t
e
d
t
e
m
p
e
r
a
t
u
r
e
s
f
r
o
m
F
e
-
T
i
o
x
i
d
e
p
h
e
n
o
c
r
y
s
t
s
c
o
l
l
e
c
t
e
d
f
r
o
m
a
s
h
-
f
l
o
w
s
h
e
e
t
s
m
a
y
a
l
s
o
b
e
i
n
t
e
r
p
r
e
t
e
d
t
o
r
e
p
r
e
s
e
n
t
p
r
e
-
e
r
u
p
t
i
v
e
m
a
g
m
a
t
i
c
1
1
3
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
A
M
A
T
A
M
S
6
B
R
.
G
L
A
S
S
F
r
e
.
1
0
:
8
2
:
6
.
:
I
»
:
2
;
6
3
6
6
6
9
7
2
7
5
7
8
C
o
m
p
o
s
i
t
e
P
u
m
i
c
e
F
r
e
.
S
a
m
p
l
e
8
1
0
2
(
w
t
%
)
2
:
1
1
2
1
—
1
8
1
1
5
—
3
7
o
f
%
i
i
i
1
'
l
l
!
‘
A
5
-
3
A
S
-
S
G
7
8
l
.
:
1
1
1
5
-
2
9
1
i
i
fi
‘
i
”
l
l
A
5
—
7
9
7
7
2
.
.
fl
1
1
1
1
1
“
1
1
1
5
-
6
8
7
6
I
v
I
1
l
I
1
.
.
.
1
1
1
1
1
1
1
1
1
1
7
1
5
-
3
5
7
3
r
l
1
I
I
I
3
_
a
3
"
l
.
_
7
1
5
-
9
1
i
i
i
:
1
l
‘
1
1
5
-
6
5
7
”
l
—
1
1
1
1
|
1
1
A
S
-
5
8
6
9
'
V
I
I
I
t
3
.
.
“
1
l
1
i
l
l
1
4
1
1
1
A
5
-
7
l
6
7
3
-
"
1
1
l
l
]
1
1
1
A
5
-
3
0
6
6
T
I
r
I
I
I
1
fl
1
I
I
I
l
1
1
1
1
7
1
5
—
7
2
6
1
.
3
—
1
I
I
!
1
1
1
1
,
A
5
-
6
3
6
2
2
"
‘
J
1
l
l
1
1
1
A
5
—
6
9
6
1
I
I
I
I
l
2
1
I
I
I
.
1
1
1
1
,
A
5
—
7
5
5
9
l
I
I
6
3
6
6
6
9
7
2
7
5
7
a
8
1
0
2
(
w
t
%
)
F
i
g
u
r
e
4
0
a
.
S
i
O
2
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
1
1
4
F
r
c
1
A
U
M
I
R
C
I
U
U
A
'
T
I
U
M
V
H
S
I
I
B
E
L
<
3
L
fi
fi
i
s
m
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
3
-
‘
I
1
1
L
l
“
1
1
'
1
1
1
1
2
.
5
1
5
.
0
1
7
.
5
2
0
.
0
2
2
.
5
P
u
n
1
c
e
F
r
e
.
C
o
m
p
o
s
i
t
e
S
a
m
p
l
e
8
1
0
2
(
w
t
%
)
3
j
l
j
1
1
1
1
1
3
2
1
-
1
8
1
5
—
3
7
7
8
A
5
—
3
A
5
—
5
6
5
-
=
A
5
-
7
9
I
l
l
‘
?
*
*
1
5
—
2
9
7
7
5
-
I
1
1
1
.
1
1
1
A
5
-
6
8
7
a
3
—
I
1
l
l
1
1
1
1
A
5
-
3
5
7
3
I
.
—
1
~
L
k
-
A
I
*
1
I
1
1
1
§
A
5
-
9
7
0
A
S
—
G
S
1
1
4
4
1
1
1
,
A
5
-
5
8
6
9
3
:
l
.
1
1
1
l
l
1
1
1
1
1
5
-
7
1
6
7
(
O
-
‘
I
1
1
1
1
|
1
1
1
5
_
3
0
6
6
2
:
1
1
1
'
1
1
1
1
1
5
-
7
2
6
0
3
J
1
1
[
l
l
1
1
A
5
-
6
3
6
2
2
0
—
1
1
1
5
'
1
'
]
1
1
A
5
-
6
9
6
1
2
.
.
1
1
“
l
l
1
1
1
5
-
7
5
5
9
 
 
 
1
2
.
5
1
5
.
0
1
7
.
5
2
0
.
0
2
2
.
5
A
1
2
0
3
(
w
t
%
)
F
i
g
u
r
e
4
0
b
.
A
1
2
0
3
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
1
1
5
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
A
N
I
W
I
I
M
U
A
'
t
A
b
U
C
S
N
I
N
R
.
(
3
n
g
y
s
F
r
e
g
.
1
o
2
0
.
7
.
4
O
O
O
l
2
1
2
8
3
5
P
u
m
i
c
e
F
r
o
g
.
C
o
m
p
o
s
i
t
e
S
a
m
p
l
e
8
1
0
2
(
w
t
%
)
4
4
I
-
A
2
1
—
1
8
A
5
-
3
7
l
l
l
l
J
1
1
1
1
A
5
-
3
A
5
-
5
6
7
8
3
.
1
-
‘
l
I
“
I
.
l
L
1
.
#
A
5
-
7
9
7
7
'
r
4
7
’
1
5
-
2
9
1
‘
1
1
m
l
1
1
1
1
A
5
-
6
8
7
a
1
J
I
l
l
]
1
1
1
1
A
5
-
3
5
7
3
I
I
I
I
I
2
‘
1
[
1
1
1
1
1
1
~
1
—
—
-
1
A
4
-
7
o
7
2
2
=
A
5
-
9
l
I
I
1
1
4
1
1
A
5
-
6
5
7
°
1
.
1
1
1
“
1
1
l
1
1
1
1
5
-
7
1
6
7
2
1
.
1
‘
I
I
I
!
1
1
A
S
—
J
O
6
6
2
.
.
i
#
1
I
1
I
1
1
1
5
-
7
2
6
4
3
—
1
1
a
—
J
1
1
1
l
1
*
'
1
A
5
-
6
3
6
2
2
_
1
1
1
l
l
!
1
A
5
—
6
9
6
1
2
:
1
1
1
l
I
I
!
I
1
A
5
-
7
5
5
9
0
.
7
1
.
4
2
.
1
2
.
8
3
.
5
F
e
O
(
w
t
%
)
F
i
g
u
r
e
4
0
c
.
F
e
O
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
1
1
6
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F
r
e
g
.
A
M
M
O
N
I
A
T
A
N
G
m
G
L
A
S
S
1
o
8
6
l
;
2
|
1
1
1
1
1
1
1
1
I
1
M
M
1
.
5
3
.
0
a
5
6
.
0
7
.
5
,
P
u
m
l
c
e
F
r
l
fl
s
.
‘
C
o
m
p
o
s
i
t
e
S
a
m
p
l
e
S
i
O
2
(
w
t
%
)
J
A
2
1
-
1
8
1
1
5
—
3
7
7
8
.
1
I
1
1
1
1
5
—
3
1
1
5
—
5
6
1
1
fi
‘
1
1
3
-
‘
l
=
1
1
5
.
7
9
1
1
1
I
l
l
]
1
1
A
5
—
2
9
7
7
2
:
1
1
1
[
l
l
1
1
1
1
5
-
6
3
7
1
.
1
l
fl
1
—
l
2
_
1
1
1
[
l
l
1
A
5
-
3
5
7
3
l
—
.
e
I
l
l
”
1
1
1
1
4
—
7
0
7
2
I
I
I
I
I
2
:
A
5
—
9
1
1
1
1
”
1
'
1
A
5
-
6
5
7
0
I
—
A
1
1
f
1
I
1
A
5
—
5
8
6
9
2
:
1
1
1
1
|
fl
|
h
1
A
5
-
7
l
6
7
2
_
‘
1
1
1
1
1
1
1
A
5
-
3
O
6
6
2
:
1
1
1
.
1
1
1
1
1
1
A
5
-
7
2
6
a
2
=
l
1
1
I
I
I
1
A
5
-
6
3
6
2
I
f
I
r
l
3
.
1
"
1
1
1
l
l
!
1
A
5
-
6
9
6
1
2
=
1
1
:
l
l
l
l
1
_
1
1
1
5
-
7
5
5
9
1
.
5
3
.
0
4
.
5
6
.
0
7
.
5
K
2
0
(
w
t
%
)
F
i
g
u
r
e
4
0
d
.
K
2
0
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
F
i
g
u
r
e
4
0
e
.
 
 
 
 
:
1
l
|
|
1
1
1
l
l
l
|
1
1
1
1
1
1
l
l
1
1
l
l
1
l
I
0
.
5
1
.
0
1
.
5
2
.
0
2
.
5
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F
r
e
.
C
o
m
p
o
s
i
t
e
2
.
1
“
d
I
n
1
1
1
1
1
1
3
‘
1
|
4
1
1
1
1
3
.
.
—
l
l
:
1
L
1
1
I
I
I
I
I
2
:
“
1
1
1
l
l
1
l
I
I
i
l
T
"
'
J
"
l
1
1
1
1
1
I
I
r
I
I
1
-
1
'
1
1
l
l
1
I
I
I
I
T
2
d
1
[
1
1
1
1
1
4
1
I
I
r
I
I
3
_
‘
1
I
I
I
.
1
1
1
I
I
I
1
.
—
1
l
1
_
l
l
l
l
1
1
I
l
I
I
T
2
-
1
1
1
1
1
1
1
1
I
I
I
I
2
.
.
1
1
1
h
1
1
1
I
I
I
I
2
1
:
1
1
1
1
1
“
I
I
I
I
I
0
.
5
1
.
0
1
.
5
2
.
0
2
.
5
C
a
O
(
v
t
l
)
P
u
m
i
c
e
S
a
m
p
l
e
5
1
0
2
(
w
t
%
)
A
2
1
-
1
8
A
5
-
3
7
7
8
A
5
-
3
A
5
-
5
6
A
5
—
7
9
A
5
-
2
9
7
7
A
5
—
6
8
7
6
A
5
-
3
5
7
3
A
4
-
7
0
7
2
A
5
—
9
A
5
—
6
5
7
O
A
5
-
5
8
6
9
A
5
-
7
l
6
7
A
5
—
3
O
6
6
A
5
-
7
2
6
4
A
5
-
6
3
6
2
A
5
—
6
9
6
1
A
5
-
7
S
5
9
C
a
O
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
1
'
1
8
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
A
M
M
O
N
I
A
T
m
N
B
R
G
L
A
S
S
F
r
o
g
.
6
l
;
2
0
.
1
2
0
.
2
4
0
.
3
6
0
.
4
8
0
.
6
0
C
o
m
p
o
s
i
t
e
1
,
“
i
m
C
?
F
r
o
g
.
S
a
m
p
l
e
5
1
0
2
3
-
I
l
l
!
[
1
1
4
1
1
A
2
1
-
1
8
1
5
-
3
7
7
8
4
_
1
5
-
3
A
5
-
5
6
—
l
I
l
l
1
l
4
1
1
§
A
5
-
7
9
7
7
1
1
'
'
1
5
-
2
9
1
_
l
l
1
1
1
l
g
;
1
1
A
5
—
6
8
7
4
2
.
1
1
l
l
1
1
1
1
1
1
1
5
—
3
5
7
3
2
-
—
—
1
1
1
1
l
1
|
1
4
7
1
g
1
4
.
7
0
7
2
2
"
1
—
'
1
l
,
1
l
l
1
1
1
“
5
‘
9
1
1
7
‘
7
1
'
A
5
—
6
5
7
°
1
_
.
1
1
1
1
1
1
A
5
—
5
8
6
9
2
—
i
1
1
I
I
1
1
1
1
1
1
1
1
5
-
7
1
6
7
1
.
1
2
1
1
1
1
1
l
l
1
l
;
l
1
1
5
—
3
0
6
6
2
-
—
1
1
1
1
l
1
1
;
]
1
5
_
7
2
6
4
1
.
1
1
1
,
g
l
1
1
"
;
A
5
-
6
3
6
2
1
_
.
2
-
1
1
1
1
1
1
”
1
5
-
7
5
5
9
0
.
1
2
0
.
2
4
0
.
3
6
0
.
4
8
0
.
6
0
1
1
0
2
(
w
t
%
)
F
i
g
u
r
e
4
0
f
.
T
i
O
z
i
n
p
u
m
i
c
e
o
u
s
g
l
a
s
s
,
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
1
1
9
t
e
m
p
e
r
a
t
u
r
e
s
(
B
u
d
d
i
n
g
t
o
n
a
n
d
L
i
n
d
s
l
e
y
,
1
9
6
4
;
L
i
p
m
a
n
,
1
9
7
1
;
S
m
i
t
h
,
1
9
7
9
;
H
i
l
d
r
e
t
h
,
1
9
8
1
)
.
T
e
m
p
e
r
a
t
u
r
e
a
n
d
O
x
y
g
e
n
F
u
g
a
c
i
t
y
C
a
l
c
u
l
a
t
i
o
n
s
R
e
c
a
l
c
u
l
a
t
i
o
n
o
f
u
l
v
o
s
p
i
n
e
l
a
n
d
h
e
m
a
t
i
t
e
c
o
m
p
o
s
i
t
i
o
n
s
u
s
i
n
g
t
h
e
t
e
c
h
n
i
q
u
e
o
f
A
n
d
e
r
s
e
n
a
n
d
L
i
n
d
s
l
e
y
(
1
9
8
8
)
f
o
r
d
a
t
a
p
r
e
s
e
n
t
e
d
b
y
L
i
p
m
a
n
(
1
9
7
1
)
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
r
a
n
g
e
f
r
o
m
7
6
6
0
C
,
-
1
2
.
1
5
l
o
g
£
0
2
f
o
r
r
h
y
o
l
i
t
i
c
s
a
m
p
l
e
s
(
7
7
w
t
%
5
1
0
2
)
t
o
8
3
8
0
C
,
-
1
0
.
8
8
l
o
g
£
0
2
f
o
r
s
a
m
p
l
e
s
o
f
t
r
a
c
h
y
d
a
c
i
t
e
(
6
6
w
t
%
S
i
O
Z
)
.
E
s
t
i
m
a
t
e
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
r
a
n
g
e
f
r
o
m
7
6
3
0
C
,
-
1
2
.
1
5
f
0
2
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
t
o
8
7
2
0
c
,
-
l
O
.
6
3
l
o
g
£
0
2
i
n
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
.
N
e
w
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
c
a
l
c
u
l
a
t
i
o
n
s
f
r
o
m
t
h
i
s
s
t
u
d
y
e
x
h
i
b
i
t
a
s
i
g
n
i
f
i
c
a
n
t
l
y
l
a
r
g
e
r
r
a
n
g
e
i
n
v
a
l
u
e
s
t
h
a
n
t
h
o
s
e
o
f
L
i
p
m
a
n
(
1
9
7
1
)
(
F
i
g
.
4
1
)
(
T
a
b
l
e
4
)
.
T
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
v
a
r
i
e
s
f
r
o
m
7
5
5
0
C
,
-
1
3
.
0
9
l
o
g
£
0
2
f
o
r
t
h
e
h
i
g
h
—
s
i
l
i
c
a
r
h
y
o
l
i
t
e
t
o
8
9
7
0
c
,
—
1
o
.
5
7
l
o
g
£
0
2
f
o
r
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
.
T
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
e
x
h
i
b
i
t
s
a
s
i
m
i
l
a
r
r
a
n
g
e
i
n
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
(
T
a
b
l
e
4
)
.
M
i
n
i
m
u
m
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
d
a
t
a
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
c
c
u
r
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
t
7
2
7
O
C
,
-
l
3
.
8
6
l
o
g
f
0
2
w
h
i
l
e
t
h
e
m
a
x
i
m
u
m
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
o
c
c
u
r
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
a
t
9
0
3
O
C
,
-
1
0
.
9
6
l
o
g
£
0
2
.
A
l
l
c
a
l
c
u
l
a
t
e
d
v
a
l
u
e
s
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
l
i
e
w
i
t
h
i
n
t
h
e
b
o
u
n
d
a
r
y
c
u
r
v
e
s
f
o
r
t
h
e
2

0

f

-

1
2
0
 
 
 
 
 
 
 
 
R
A
I
N
I
E
R
M
E
S
A
M
B
R
.
(
t
n
1
s
s
t
u
d
y
)
+
A
M
M
O
N
I
A
T
A
N
K
S
M
B
R
.
(
t
h
i
s
s
t
u
d
y
)
0
R
A
I
N
I
E
R
M
E
S
A
M
B
R
.
(
L
i
p
m
a
n
.
1
9
7
1
)
A
A
M
M
O
N
I
A
T
A
N
K
S
M
B
R
.
[
L
1
p
m
a
n
.
1
9
7
1
)
L
L
I
L
J
I
J
 
 
[
A
l
l
I
I
A
l
l
1
4
k
k
l
l
l
l
L
l
L
4
1
l
I
I
J
L
L
I
_
2
0
l
n
6
0
0
7
0
0
8
0
0
o
9
0
0
1
0
0
0
D
e
g
r
e
e
s
(
C
)
 
F
i
g
u
r
e
4
1
.
T
e
m
p
e
r
a
t
u
r
e
v
e
r
s
u
s
f
0
d
i
a
g
r
a
m
d
e
r
i
v
e
d
f
r
o
m
F
e
-
T
i
o
x
i
d
e
p
h
e
n
o
c
r
y
s
t
d
a
t
a
f
o
r
t
a
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
D
a
t
a
a
r
e
f
r
o
m
t
h
i
s
s
t
u
d
y
a
n
d
f
r
o
m
L
i
p
m
a
n
(
1
9
7
1
)
.
1
2
1
T
a
b
l
e
4
.
F
e
-
T
i
o
x
i
d
e
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
d
a
t
a
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
 
S
a
m
p
l
e
#
S
i
O
1
T
e
m
p
2
£
0
2
(
w
t
1
(
C
C
)
 
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
 
 
L
I
P
1
7
7
8
8
2
6
-
1
0
.
4
7
L
I
P
1
4
7
7
8
1
5
-
1
0
.
5
9
L
I
P
1
5
7
7
8
1
2
-
1
0
.
6
7
L
I
P
1
6
7
7
8
1
5
-
1
0
.
5
5
R
1
8
-
l
6
7
7
7
9
6
-
1
2
.
2
5
R
1
1
-
7
7
6
7
5
5
-
1
3
.
0
9
R
1
8
-
2
7
5
7
7
3
-
1
2
.
8
6
R
2
1
-
5
7
5
8
1
9
-
1
1
.
5
6
R
2
3
-
1
3
7
0
8
6
3
-
1
1
.
3
1
L
I
P
1
8
6
9
8
7
5
-
9
.
8
1
R
8
-
4
4
6
9
8
5
5
-
l
l
.
1
8
R
2
1
-
1
6
9
8
5
5
-
l
l
.
1
5
L
I
P
1
9
6
8
8
8
0
-
9
.
7
3
R
8
-
2
5
6
7
8
6
9
-
1
0
.
9
4
R
8
-
4
5
6
6
8
6
4
-
1
0
.
9
7
R
2
3
-
2
6
6
4
8
8
2
-
1
0
.
8
2
R
l
l
-
S
6
1
8
7
3
-
1
0
.
8
3
R
2
3
-
2
4
6
0
8
8
7
-
1
0
.
8
4
R
2
3
-
2
7
5
8
8
9
0
-
1
0
.
7
4
R
2
1
-
l
3
5
7
8
9
7
-
l
O
.
5
7
A
M
M
O
N
I
A
.
T
A
N
K
S
M
E
M
B
E
R
L
I
P
2
0
7
7
8
0
6
-
1
0
.
0
6
L
I
P
2
1
7
7
8
0
1
-
1
0
.
5
2
L
I
P
2
2
7
7
8
0
1
-
1
0
.
6
0
L
I
P
2
3
7
7
8
0
9
-
1
0
.
5
7
A
4
-
7
O
7
2
8
1
8
-
1
1
.
9
1
A
5
-
3
7
8
7
2
7
-
1
3
.
8
6
A
5
-
9
7
0
8
0
6
-
1
2
.
1
6
A
5
-
2
9
7
7
7
4
4
-
1
3
.
5
1
L
I
P
2
4
6
8
8
9
5
-
9
.
8
9
L
I
P
2
5
6
6
8
8
7
-
9
.
7
5
A
5
-
3
0
6
6
8
8
0
-
1
1
.
0
1
A
5
-
3
5
a
7
3
7
9
7
-
1
2
.
2
1
A
5
-
3
5
b
7
3
7
8
7
-
1
2
.
4
3
A
5
-
3
7
7
8
7
3
9
~
1
3
.
5
9
A
5
-
5
8
6
9
8
1
2
-
1
2
.
4
8
A
5
-
6
8
7
4
7
7
4
-
l
3
.
0
9
A
5
-
7
1
6
7
8
6
0
-
1
1
.
6
9
A
5
-
7
2
6
4
9
0
3
-
1
0
.
9
6
 
i
W
h
o
l
e
-
p
u
m
i
c
e
s
i
l
i
c
a
c
o
n
c
e
n
t
r
a
t
i
o
n
2
A
n
d
e
r
s
e
n
a
n
d
L
i
n
d
s
l
e
y
,
1
9
8
8
1
2
2
n
i
c
k
e
l
-
n
i
c
k
e
l
o
x
i
d
e
(
N
N
O
)
a
n
d
t
h
e
m
a
g
n
e
t
i
t
e
-
n
i
c
k
e
l
o
x
i
d
e
(
M
N
O
)
b
u
f
f
e
r
s
o
f
B
u
d
d
i
n
g
t
o
n
a
n
d
L
i
n
d
s
l
e
y
(
1
9
6
4
)
(
F
i
g
.
4
1
)
.
T
h
e
t
e
x
t
u
r
a
l
c
o
n
d
i
t
i
o
n
o
f
t
h
e
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
u
s
e
d
i
n
t
h
i
s
s
t
u
d
y
i
s
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
5
.
C
o
e
x
i
s
t
i
n
g
F
e
l
d
s
p
a
r
s
a
n
d
F
e
-
T
i
O
x
i
d
e
s
T
h
e
c
o
e
x
i
s
t
e
n
c
e
o
f
p
l
a
g
i
o
c
l
a
s
e
,
s
a
n
i
d
i
n
e
,
a
n
d
F
e
-
T
i
o
x
i
d
e
s
i
n
m
a
n
y
o
f
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
i
s
c
o
n
d
u
c
i
v
e
t
o
t
h
e
u
s
e
o
f
t
w
o
-
f
e
l
d
s
p
a
r
,
F
e
-
T
i
o
x
i
d
e
g
e
o
t
h
e
r
m
o
m
e
t
r
y
/
g
e
o
b
a
r
o
m
e
t
r
y
.
T
w
o
-
f
e
l
d
s
p
a
r
g
e
o
t
h
e
r
m
o
m
e
t
e
r
s
a
n
d
g
e
o
b
a
r
o
m
e
t
e
r
s
h
a
v
e
b
e
e
n
i
n
e
x
i
s
t
e
n
c
e
s
i
n
c
e
o
r
i
g
i
n
a
l
s
t
u
d
i
e
s
b
y
B
a
r
t
h
(
1
9
3
4
)
.
C
o
n
t
i
n
u
a
l
r
e
f
i
n
e
m
e
n
t
s
t
o
t
h
e
m
o
d
e
l
s
h
a
v
e
l
e
d
t
o
m
o
r
e
a
c
c
u
r
a
t
e
t
e
m
p
e
r
a
t
u
r
e
a
n
d
p
r
e
s
s
u
r
e
e
s
t
i
m
a
t
e
s
f
o
r
t
h
e
f
e
l
d
s
p
a
r
a
s
s
e
m
b
l
a
g
e
s
(
B
a
r
t
h
,
1
9
5
1
;
P
e
r
c
h
u
c
k
a
n
d
R
y
a
b
c
h
i
k
o
v
,
1
9
6
8
;
S
t
o
r
m
e
r
,
1
9
7
5
;
B
r
o
w
n
a
n
d
P
a
r
s
o
n
s
,
1
9
8
1
)
.
M
a
n
y
w
o
r
k
e
r
s
h
a
v
e
a
p
p
l
i
e
d
t
h
e
s
e
m
o
d
e
l
s
t
o
i
g
n
e
o
u
s
a
n
d
h
i
g
h
-
g
r
a
d
e
m
e
t
a
m
o
r
p
h
i
c
r
o
c
k
s
(
c
f
.
W
h
i
t
n
e
y
a
n
d
S
t
o
r
m
e
r
,
1
9
7
6
,
1
9
7
7
,
1
9
8
5
;
B
o
h
l
e
n
a
n
d
E
s
s
e
n
e
,
1
9
7
7
;
H
i
l
d
r
e
t
h
,
1
9
7
9
,
1
9
8
1
;
C
z
a
m
a
n
s
k
e
,
e
t
a
l
.
,
1
9
8
1
;
G
r
e
e
n
a
n
d
U
s
d
a
n
s
k
y
,
1
9
8
6
;
G
r
u
n
d
e
r
a
n
d
B
o
d
e
n
,
1
9
8
7
)
.
F
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
t
e
m
p
e
r
a
t
u
r
e
s
w
e
r
e
c
a
l
c
u
l
a
t
e
d
f
o
r
c
o
e
x
i
s
t
i
n
g
f
e
l
d
s
p
a
r
s
u
s
i
n
g
t
h
e
p
r
o
g
r
a
m
"
M
T
H
E
R
M
3
.
B
A
S
"
(
F
u
h
r
m
a
n
a
n
d
L
i
n
d
s
l
e
y
,
1
9
8
8
)
.
P
l
a
g
i
o
c
l
a
s
e
-
s
a
n
i
d
i
n
e
p
a
i
r
s
w
e
r
e
s
e
l
e
c
t
e
d
s
u
c
h
t
h
a
t
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
w
i
t
h
i
n
a
g
i
v
e
n
s
a
m
p
l
e
w
a
s
r
e
p
r
e
s
e
n
t
e
d
.
O
n
l
y
1
2
3
T
a
b
l
e
5
.
T
e
x
t
u
r
a
l
c
o
n
d
i
t
i
o
n
o
f
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
a
n
a
l
y
z
e
d
f
o
r
g
e
o
t
h
e
r
m
o
m
e
t
r
y
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
 
S
a
m
p
l
e
W
h
o
l
e
P
u
m
i
c
e
n
u
m
b
e
r
S
i
O
z
C
o
n
t
e
n
t
1
M
a
g
n
e
t
i
t
e
2
I
l
m
e
n
i
t
e
R
2
1
-
1
3
5
7
w
t
%
F
r
F
r
R
2
3
-
2
7
5
8
w
t
%
S
1
.
E
x
F
r
R
2
3
-
2
4
6
0
w
t
%
F
r
F
r
R
1
1
-
5
6
1
w
t
%
8
1
.
E
x
F
r
R
2
3
-
2
6
6
4
w
t
%
8
1
.
E
x
F
r
R
8
-
4
5
6
6
w
t
%
F
r
F
r
R
8
-
2
5
6
7
w
t
%
E
x
E
x
R
8
-
4
4
6
9
w
t
%
F
r
F
r
R
2
1
-
1
6
9
w
t
%
E
x
F
r
R
2
3
-
1
3
7
0
w
t
%
8
1
.
E
x
F
r
R
1
8
-
2
7
5
w
t
%
F
r
F
r
R
2
1
-
5
7
5
w
t
%
E
x
F
r
R
1
1
-
7
7
6
w
t
%
F
r
F
r
R
I
B
-
1
6
7
7
w
t
%
S
1
.
E
x
F
r
A
5
-
7
2
6
4
w
t
%
E
x
F
r
A
5
-
3
0
6
6
w
t
%
E
x
F
r
A
S
-
7
1
6
7
w
t
%
E
x
F
r
A
5
-
5
8
6
9
w
t
%
E
x
F
r
A
5
-
9
7
0
w
t
%
8
1
.
E
x
F
r
A
4
-
7
0
7
2
w
t
%
E
x
F
r
A
5
-
3
5
7
3
w
t
%
F
r
F
r
A
5
-
6
8
7
4
w
t
%
F
r
F
r
A
5
-
2
9
7
7
w
t
%
F
r
F
r
A
5
-
7
9
7
7
w
t
%
E
x
F
r
A
5
-
3
7
8
w
t
%
F
r
F
r
A
5
-
3
7
7
8
w
t
%
F
r
F
r
 
1
C
a
l
c
u
l
a
t
e
d
1
0
0
%
a
n
h
y
d
r
o
u
s
2
P
r
=
F
r
e
s
h
3
1
.
E
x
=
S
l
i
g
h
t
l
y
e
x
s
o
l
v
e
d
E
x
=
E
x
s
o
l
v
e
d
1
2
4
p
h
e
n
o
c
r
y
s
t
e
d
g
e
c
o
m
p
o
s
i
t
i
o
n
s
f
r
o
m
w
h
o
l
e
-
p
h
e
n
o
c
r
y
s
t
g
r
a
i
n
m
o
u
n
t
s
a
n
d
f
r
o
m
t
h
i
n
s
e
c
t
i
o
n
w
e
r
e
u
s
e
d
i
n
t
h
e
c
a
l
c
u
l
a
t
i
o
n
s
.
T
e
m
p
e
r
a
t
u
r
e
s
w
e
r
e
c
a
l
c
u
l
a
t
e
d
u
s
i
n
g
t
h
e
m
o
l
e
f
r
a
c
t
i
o
n
o
f
a
l
b
i
t
e
,
a
n
o
r
t
h
i
t
e
,
k
s
p
a
r
,
a
n
d
c
e
l
s
i
a
n
i
n
t
h
e
p
l
a
g
i
o
c
l
a
s
e
a
n
d
s
a
n
i
d
i
n
e
p
h
e
n
o
c
r
y
s
t
s
a
t
v
a
r
i
o
u
s
p
r
e
s
s
u
r
e
s
.
W
i
t
h
i
n
t
h
e
p
r
o
g
r
a
m
,
t
h
e
s
e
m
o
l
e
f
r
a
c
t
i
o
n
s
w
e
r
e
r
u
n
t
h
r
o
u
g
h
a
n
i
t
e
r
a
t
i
v
e
p
r
o
c
e
s
s
i
n
w
h
i
c
h
o
n
e
c
o
m
p
o
s
i
t
i
o
n
w
a
s
h
e
l
d
c
o
n
s
t
a
n
t
w
h
i
l
e
t
h
e
o
t
h
e
r
c
o
m
p
o
s
i
t
i
o
n
s
w
e
r
e
v
a
r
i
e
d
i
n
i
n
c
r
e
a
s
i
n
g
i
n
c
r
e
m
e
n
t
s
o
f
0
.
5
%
u
n
t
i
l
a
t
o
t
a
l
c
h
a
n
g
e
o
f
2
.
0
%
w
a
s
r
e
a
c
h
e
d
.
A
s
s
o
o
n
a
s
a
b
e
s
t
f
i
t
c
o
m
p
o
s
i
t
i
o
n
w
a
s
r
e
a
c
h
e
d
,
t
h
e
p
r
o
g
r
a
m
p
r
i
n
t
e
d
o
u
t
t
h
e
c
a
l
c
u
l
a
t
e
d
t
e
m
p
e
r
a
t
u
r
e
.
I
f
a
b
e
s
t
f
i
t
w
a
s
n
o
t
a
c
h
i
e
v
e
d
o
n
c
e
t
h
e
2
.
0
%
i
n
c
r
e
m
e
n
t
w
a
s
r
e
a
c
h
e
d
,
t
h
e
c
a
l
c
u
l
a
t
e
d
t
e
m
p
e
r
a
t
u
r
e
w
a
s
p
r
i
n
t
e
d
w
i
t
h
a
w
a
r
n
i
n
g
.
F
o
r
t
h
i
s
s
t
u
d
y
,
o
n
l
y
t
h
e
t
e
m
p
e
r
a
t
u
r
e
s
w
h
i
c
h
f
e
l
l
w
i
t
h
i
n
t
h
e
a
c
c
e
p
t
a
b
l
e
l
i
m
i
t
s
o
f
t
h
e
m
o
d
e
l
w
e
r
e
u
s
e
d
.
A
l
l
p
h
e
n
o
c
r
y
s
t
p
a
i
r
s
s
e
l
e
c
t
e
d
w
e
r
e
r
u
n
t
h
r
o
u
g
h
t
h
e
p
r
o
g
r
a
m
a
t
v
a
r
i
o
u
s
p
r
e
s
s
u
r
e
s
.
I
n
s
o
m
e
c
a
s
e
s
,
a
b
e
s
t
f
i
t
c
o
u
l
d
b
e
o
b
t
a
i
n
e
d
t
h
r
o
u
g
h
a
r
a
n
g
e
o
f
p
r
e
s
s
u
r
e
s
,
b
u
t
t
h
e
c
a
l
c
u
l
a
t
i
o
n
s
w
i
t
h
t
h
e
l
o
w
e
s
t
e
r
r
o
r
w
e
r
e
u
s
u
a
l
l
y
a
c
h
i
e
v
e
d
a
t
1
k
b
a
r
.
S
t
o
r
m
e
r
a
n
d
W
h
i
t
n
e
y
(
1
9
8
5
)
d
e
v
e
l
o
p
e
d
a
m
e
t
h
o
d
u
s
i
n
g
t
h
e
t
e
m
p
e
r
a
t
u
r
e
s
c
a
l
c
u
l
a
t
e
d
f
r
o
m
b
o
t
h
F
e
-
T
i
o
x
i
d
e
s
a
n
d
c
o
e
x
i
s
t
i
n
g
p
l
a
g
i
o
c
l
a
s
e
a
n
d
a
l
k
a
l
i
f
e
l
d
s
p
a
r
s
t
o
d
e
r
i
v
e
t
h
e
p
r
e
s
s
u
r
e
a
t
w
h
i
c
h
t
h
e
f
e
l
d
s
p
a
r
s
a
n
d
F
e
-
T
i
o
x
i
d
e
s
w
e
r
e
m
o
s
t
l
i
k
e
l
y
i
n
e
q
u
i
l
i
b
r
i
u
m
.
B
a
s
e
d
o
n
t
h
e
w
o
r
k
o
f
R
u
m
b
l
e
(
1
9
6
9
;
i
n
S
t
o
r
m
e
r
a
n
d
W
h
i
t
n
e
y
,
1
9
8
5
)
t
h
e
F
e
-
T
i
o
x
i
d
e
1
2
5
g
e
o
t
h
e
r
m
o
m
e
t
e
r
i
s
i
n
d
e
p
e
n
d
e
n
t
o
f
t
e
m
p
e
r
a
t
u
r
e
u
p
t
o
1
0
k
b
a
r
s
.
T
h
e
f
e
l
d
s
p
a
r
g
e
o
t
h
e
r
m
o
m
e
t
e
r
o
n
t
h
e
o
t
h
e
r
h
a
n
d
,
i
s
s
t
r
o
n
g
l
y
d
e
p
e
n
d
a
n
t
o
n
p
r
e
s
s
u
r
e
.
F
o
r
e
v
e
r
y
1
k
b
a
r
i
n
c
r
e
a
s
e
i
n
p
r
e
s
s
u
r
e
t
h
e
t
e
m
p
e
r
a
t
u
r
e
i
n
c
r
e
a
s
e
s
b
y
1
8
0
C
(
B
r
o
w
n
a
n
d
P
a
r
s
o
n
s
,
1
9
8
1
;
S
t
o
r
m
e
r
,
1
9
7
5
)
.
T
h
e
r
e
s
u
l
t
s
o
f
t
h
i
s
t
e
c
h
n
i
q
u
e
a
s
a
p
p
l
i
e
d
t
o
t
e
m
p
e
r
a
t
u
r
e
s
c
a
l
c
u
l
a
t
e
d
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
a
r
e
p
l
o
t
t
e
d
i
n
F
i
g
u
r
e
4
2
.
E
r
r
o
r
b
a
r
s
b
a
s
e
d
o
n
t
h
e
v
a
r
i
a
t
i
o
n
i
n
c
a
l
c
u
l
a
t
e
d
p
r
e
s
s
u
r
e
b
e
t
w
e
e
n
d
i
f
f
e
r
e
n
t
p
h
e
n
o
c
r
y
s
t
p
a
i
r
s
i
n
a
g
i
v
e
n
s
a
m
p
l
e
a
r
e
s
h
o
w
n
.
D
a
t
a
p
o
i
n
t
s
i
n
w
h
i
c
h
o
n
l
y
o
n
e
p
a
i
r
o
f
f
e
l
d
s
p
a
r
s
w
a
s
a
v
a
i
l
a
b
l
e
a
r
e
a
s
s
u
m
e
d
t
o
h
a
v
e
a
m
i
n
i
m
u
m
e
r
r
o
r
o
f
+
/
-
l
k
b
a
r
.
I
t
s
h
o
u
l
d
b
e
n
o
t
e
d
t
h
a
t
t
h
e
c
o
n
c
o
r
d
a
n
c
e
o
f
t
h
e
t
e
m
p
e
r
a
t
u
r
e
d
a
t
a
b
e
t
w
e
e
n
t
h
e
t
w
o
m
e
t
h
o
d
s
(
t
w
o
-
f
e
l
d
s
p
a
r
a
n
d
F
e
-
T
i
o
x
i
d
e
s
)
i
s
p
o
o
r
a
t
b
e
s
t
.
T
h
u
s
,
t
h
i
s
t
e
c
h
n
i
q
u
e
c
a
n
o
n
l
y
b
e
u
s
e
d
f
o
r
s
p
e
c
u
l
a
t
i
v
e
p
u
r
p
o
s
e
s
w
i
t
h
r
e
g
a
r
d
t
o
g
e
o
b
a
r
o
m
e
t
r
y
a
n
d
g
e
o
t
h
e
r
m
o
m
e
t
r
y
.
A
m
p
h
i
b
o
l
e
-
Q
u
a
r
t
z
g
e
o
b
a
r
o
m
e
t
r
y
U
s
i
n
g
t
h
e
m
e
t
h
o
d
o
f
H
a
m
m
a
r
s
t
r
o
m
a
n
d
Z
e
n
(
1
9
8
6
)
,
t
h
e
t
o
t
a
l
a
l
u
m
i
n
u
m
c
o
n
t
e
n
t
o
f
h
o
r
n
b
l
e
n
d
e
i
n
e
q
u
i
l
i
b
r
i
u
m
w
i
t
h
q
u
a
r
t
z
,
f
r
o
m
s
a
m
p
l
e
R
2
3
-
1
3
(
7
0
w
t
%
S
i
0
2
)
w
a
s
u
s
e
d
t
o
e
s
t
i
m
a
t
e
t
h
e
p
r
e
s
s
u
r
e
o
f
h
o
r
n
b
l
e
n
d
e
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
.
A
l
t
h
o
u
g
h
t
h
e
p
o
s
s
i
b
i
l
i
t
y
e
x
i
s
t
s
t
h
a
t
t
r
a
c
h
y
a
n
d
e
s
i
t
i
c
h
o
r
n
b
l
e
n
d
e
w
a
s
c
o
m
m
i
n
g
l
e
d
w
i
t
h
t
h
e
r
h
y
o
l
i
t
e
,
t
h
e
e
u
h
e
d
r
a
l
f
o
r
m
a
n
d
l
a
c
k
o
f
c
o
l
o
r
e
d
g
l
a
s
s
s
u
r
r
o
u
n
d
i
n
g
t
h
e
h
o
r
n
b
l
e
n
d
e
g
r
a
i
n
s
w
h
i
c
h
w
o
u
l
d
b
e
p
r
e
s
e
n
t
i
f
t
w
o
c
h
e
m
i
c
a
l
l
y
d
i
s
c
r
e
t
e
1
2
6
 
 
 
 
 
 
 
F
e
l
d
s
p
a
r
-
O
x
i
d
e
T
/
P
P
l
o
t
I
‘
1
2
'
'
v
V
I
i
f
v
v
r
I
v
v
v
'
T
’
L
(
F
r
o
m
S
t
o
r
m
e
r
a
n
d
H
n
l
t
n
e
y
.
1
9
8
5
)
‘
1
0
-
-
I
:
*
3
1
3
.
3
a
b
3
-
x
9
.
.
1
O
J
6
”
'
d
L
:
3
r
4
U
)
U
)
4
-
.
1
C
D
6
:
1
1
1
2
L
.
.
1
1
_
_
_
_
_
.
.
1
o
A
L
A
g
l
A
L
A
A
l
A
7
0
0
7
5
0
8
0
0
8
5
0
T
e
m
p
e
r
a
t
u
r
e
6
0
)
 
E
3
(
D
L
(
U
.
D
x
O
.
)
L
'
3
(
D
0
'
)
O
J
L
.
a
.
F
i
g
u
r
e
4
2
.
a
.
.
.
.
.
.
.
.
,
.
.
.
.
.
.
.
.
.
1
.
.
.
.
.
.
.
.
.
,
.
.
.
.
.
.
.
.
.
a
)
R
A
I
N
I
E
R
M
E
S
A
M
8
8
.
+
-
A
M
M
O
N
I
A
T
A
N
K
S
M
B
R
.
 
5
'
5
1
t
o
7
0
a
t
:
5
1
0
2
E
(
<
1
 
 
 
 
b
5
6
N
C
‘
‘
5
1
0
2
b
“
u
‘
2
’
7
0
t
o
7
7
a
t
:
3
1
0
2
1
5
7
"
t
*
‘
s
1
0
1
1
b
'
—
‘
A
p
p
r
o
x
.
°
C
E
r
r
o
r
0
A
A
A
A
A
A
A
A
L
A
A
A
A
A
A
A
A
A
l
A
A
A
A
A
A
A
A
A
l
A
A
A
A
A
A
A
6
0
0
7
0
0
8
0
0
9
0
0
1
0
0
0
D
e
g
r
e
e
s
1
°
C
)
A
)
F
e
-
T
i
o
x
i
d
e
a
n
d
c
o
-
e
x
i
s
t
i
n
g
f
e
l
d
s
p
a
r
t
e
m
p
e
r
a
t
u
r
e
/
p
r
e
s
s
u
r
e
d
i
a
g
r
a
m
f
r
o
m
S
t
o
r
m
e
r
a
n
d
W
h
i
t
n
e
y
(
1
9
8
5
)
.
B
)
F
e
-
T
i
o
x
i
d
e
a
n
d
c
o
-
e
x
i
s
t
i
n
g
f
e
l
d
s
p
a
r
t
e
m
p
e
r
a
t
u
r
e
/
p
r
e
s
s
u
r
e
d
a
t
a
f
r
o
m
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
1
2
7
m
a
g
m
a
s
w
e
r
e
c
o
m
m
i
n
g
l
e
d
,
m
a
y
i
n
d
i
c
a
t
e
t
h
a
t
t
h
e
s
e
g
r
a
i
n
s
a
r
e
a
p
r
i
m
a
r
y
p
h
a
s
e
w
i
t
h
i
n
t
h
e
r
h
y
o
l
i
t
e
.
S
i
x
h
o
r
n
b
l
e
n
d
e
g
r
a
i
n
s
w
e
r
e
a
n
a
l
y
z
e
d
f
r
o
m
s
a
m
p
l
e
R
2
3
-
1
3
.
O
n
e
o
f
t
h
e
s
e
g
r
a
i
n
s
w
a
s
a
n
a
l
y
z
e
d
a
l
o
n
g
t
h
e
e
d
g
e
a
n
d
w
i
t
h
i
n
t
h
e
c
o
r
e
(
A
p
p
e
n
d
i
x
3
)
.
T
h
e
c
a
l
c
u
l
a
t
e
d
p
r
e
s
s
u
r
e
s
o
f
f
o
r
m
a
t
i
o
n
r
a
n
g
e
f
r
o
m
4
.
8
k
b
t
o
3
.
9
k
b
.
T
h
e
a
v
e
r
a
g
e
v
a
l
u
e
i
s
4
.
2
k
b
w
i
t
h
a
s
t
a
n
d
a
r
d
d
e
v
i
a
t
i
o
n
o
f
0
.
2
8
k
b
.
P
r
e
s
s
u
r
e
e
s
t
i
m
a
t
e
s
c
a
l
c
u
l
a
t
e
d
f
r
o
m
t
h
e
a
n
a
l
y
z
e
d
g
r
a
i
n
b
o
t
h
n
e
a
r
t
h
e
e
d
g
e
a
n
d
i
n
t
h
e
c
o
r
e
v
a
r
y
b
y
0
.
2
k
b
(
e
d
g
e
=
4
.
0
k
b
,
c
o
r
e
=
4
.
2
k
b
)
.
D
I
S
C
U
S
S
I
O
N
G
e
o
c
h
e
m
i
c
a
l
Z
o
n
a
t
i
o
n
i
n
M
a
g
m
a
B
o
d
i
e
s
M
a
n
y
e
x
p
l
a
n
a
t
i
o
n
s
h
a
v
e
b
e
e
n
o
f
f
e
r
e
d
f
o
r
t
h
e
o
r
i
g
i
n
o
f
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
h
e
t
e
r
o
g
e
n
e
i
t
y
o
f
m
a
g
m
a
b
o
d
i
e
s
;
e
l
e
m
e
n
t
a
l
d
i
f
f
u
s
i
o
n
,
c
o
n
v
e
c
t
i
v
e
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
,
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
a
n
d
m
a
g
m
a
m
i
x
i
n
g
t
o
n
a
m
e
b
u
t
a
f
e
w
.
A
b
r
i
e
f
d
i
s
c
u
s
s
i
o
n
o
n
t
h
e
a
p
p
l
i
c
a
t
i
o
n
o
f
t
h
e
s
e
p
r
o
c
e
s
s
e
s
t
o
a
s
h
-
f
l
o
w
t
u
f
f
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
b
y
v
a
r
i
o
u
s
w
o
r
k
e
r
s
i
s
p
r
e
s
e
n
t
e
d
b
e
l
o
w
.
B
a
c
k
g
r
o
u
n
d
I
t
h
a
s
l
o
n
g
b
e
e
n
r
e
c
o
g
n
i
z
e
d
t
h
a
t
m
a
n
y
a
s
h
-
f
l
o
w
s
h
e
e
t
s
a
r
e
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
,
i
.
e
.
s
y
s
t
e
m
a
t
i
c
v
a
r
i
a
t
i
o
n
s
o
c
c
u
r
i
n
c
h
e
m
i
s
t
r
y
,
m
i
n
e
r
a
l
o
g
y
,
a
n
d
i
n
f
e
r
r
e
d
p
r
e
-
e
r
u
p
t
i
v
e
t
h
e
r
m
a
l
g
r
a
d
i
e
n
t
s
f
r
o
m
t
h
e
s
t
r
a
t
i
g
r
a
p
h
i
c
b
a
s
e
t
o
t
h
e
t
o
p
o
f
a
s
h
-
f
l
o
w
s
h
e
e
t
s
(
c
f
.
R
a
t
t
e
a
n
d
S
t
e
v
e
n
,
1
9
6
7
;
L
i
p
m
a
n
,
e
t
a
l
.
,
1
9
6
6
;
L
i
p
m
a
n
,
1
9
6
7
;
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
;
S
m
i
t
h
,
1
9
7
9
;
H
i
l
d
r
e
t
h
,
1
9
8
1
,
1
9
8
3
)
.
I
t
h
a
s
b
e
e
n
s
u
g
g
e
s
t
e
d
t
h
a
t
a
l
l
l
a
r
g
e
e
r
u
p
t
i
o
n
s
o
f
a
n
o
n
-
b
a
s
a
l
t
i
c
n
a
t
u
r
e
t
a
p
t
h
e
r
m
a
l
l
y
a
n
d
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
m
a
g
m
a
c
h
a
m
b
e
r
s
(
H
i
l
d
r
e
t
h
,
1
9
8
1
)
a
n
d
t
h
a
t
a
l
l
p
y
r
o
c
l
a
s
t
i
c
f
l
o
w
s
w
i
t
h
a
v
o
l
u
m
e
g
r
e
a
t
e
r
t
h
a
n
1
k
m
3
a
r
e
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
(
F
i
s
h
e
r
a
n
d
S
c
h
m
i
n
c
k
e
,
1
9
8
4
,
p
.
2
6
)
.
G
e
o
c
h
e
m
i
c
a
l
a
n
d
t
h
e
r
m
a
l
d
a
t
a
f
o
r
t
h
e
F
i
s
h
C
a
n
y
o
n
T
u
f
f
o
f
s
o
u
t
h
w
e
s
t
e
r
n
C
o
l
o
r
a
d
o
a
n
d
t
w
o
m
e
m
b
e
r
s
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
o
f
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
d
o
s
e
e
m
t
o
c
o
n
t
r
a
d
i
c
t
t
h
e
a
b
o
v
e
h
y
p
o
t
h
e
s
e
s
.
T
h
e
F
i
s
h
C
a
n
y
o
n
T
u
f
f
,
1
2
8
1
2
9
t
h
e
P
a
h
C
a
n
y
o
n
M
e
m
b
e
r
(
4
0
k
m
3
)
a
n
d
t
h
e
Y
u
c
c
a
M
o
u
n
t
a
i
n
M
e
m
b
e
r
(
2
0
k
m
3
)
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
r
e
c
h
e
m
i
c
a
l
l
y
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
l
y
h
o
m
o
g
e
n
e
o
u
s
(
L
i
p
m
a
n
,
1
9
7
5
;
B
y
e
r
s
,
e
t
a
l
.
,
1
9
7
6
a
;
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
;
S
t
o
r
m
e
r
a
n
d
W
h
i
t
n
e
y
,
1
9
8
5
)
.
R
e
c
e
n
t
l
e
a
d
i
s
o
t
o
p
e
d
a
t
a
f
o
r
t
h
e
F
i
s
h
C
a
n
y
o
n
T
u
f
f
a
l
s
o
i
n
d
i
c
a
t
e
s
t
h
a
t
i
t
i
s
h
o
m
o
g
e
n
e
o
u
s
i
n
c
o
m
p
o
s
i
t
i
o
n
(
M
a
t
t
y
,
1
9
9
0
,
p
e
r
s
o
n
a
l
c
o
m
m
u
n
i
c
a
t
i
o
n
)
.
A
l
o
n
g
w
i
t
h
t
h
e
r
e
c
o
g
n
i
t
i
o
n
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
z
o
n
a
t
i
o
n
i
n
a
s
h
-
f
l
o
w
s
h
e
e
t
s
c
a
m
e
t
h
e
i
m
p
l
i
c
a
t
i
o
n
t
h
a
t
t
h
i
s
z
o
n
a
t
i
o
n
r
e
f
l
e
c
t
e
d
p
r
e
-
e
r
u
p
t
i
v
e
g
r
a
d
i
e
n
t
s
w
i
t
h
i
n
t
h
e
p
a
r
e
n
t
m
a
g
m
a
c
h
a
m
b
e
r
(
W
i
l
l
i
a
m
s
,
1
9
4
2
;
K
a
t
s
u
i
,
1
9
6
3
;
L
i
p
m
a
n
,
e
t
a
l
.
,
1
9
6
6
;
S
m
i
t
h
,
1
9
7
9
;
H
i
l
d
r
e
t
h
,
1
9
8
1
)
.
I
t
w
a
s
a
r
g
u
e
d
t
h
a
t
a
s
a
n
e
r
u
p
t
i
o
n
o
c
c
u
r
r
e
d
a
n
d
t
h
e
c
h
a
m
b
e
r
w
a
s
t
a
p
p
e
d
,
s
i
m
p
l
e
v
e
r
t
i
c
a
l
d
r
a
w
d
o
w
n
o
f
t
h
e
m
a
g
m
a
o
c
c
u
r
r
e
d
.
S
u
c
h
s
t
u
d
i
e
s
i
n
c
l
u
d
e
t
h
o
s
e
o
f
t
h
e
B
i
s
h
o
p
T
u
f
f
(
H
i
l
d
r
e
t
h
,
1
9
8
1
)
,
t
h
e
S
i
e
r
r
a
L
a
P
r
i
m
a
v
e
r
a
s
i
l
i
c
i
c
c
e
n
t
e
r
(
M
a
h
o
o
d
,
1
9
8
1
)
,
t
h
e
C
r
a
t
e
r
L
a
k
e
p
y
r
o
c
l
a
s
t
i
c
f
l
o
w
s
(
B
a
c
o
n
,
1
9
8
3
;
B
a
c
o
n
a
n
d
D
r
u
i
t
t
,
1
9
8
8
)
,
p
y
r
o
c
l
a
s
t
i
c
f
l
o
w
s
o
n
T
e
n
e
r
i
f
e
I
s
l
a
n
d
(
W
o
l
f
f
a
n
d
S
t
o
r
e
y
,
1
9
8
4
)
,
a
n
d
t
h
e
F
i
s
h
C
a
n
y
o
n
T
u
f
f
(
S
t
o
r
m
e
r
a
n
d
W
h
i
t
n
e
y
,
1
9
8
5
)
.
B
a
s
e
d
o
n
t
h
e
s
e
a
n
d
o
t
h
e
r
p
y
r
o
c
l
a
s
t
i
c
f
l
o
w
s
t
u
d
i
e
s
(
c
f
.
L
i
p
m
a
n
,
e
t
a
l
.
,
1
9
6
6
;
H
i
l
d
r
e
t
h
,
1
9
8
3
)
i
t
w
a
s
i
n
t
e
r
p
r
e
t
e
d
t
h
a
t
a
p
a
r
e
n
t
a
l
m
a
g
m
a
b
o
d
y
c
o
n
t
a
i
n
e
d
s
y
s
t
e
m
a
t
i
c
v
a
r
i
a
t
i
o
n
s
i
n
c
h
e
m
i
s
t
r
y
,
m
i
n
e
r
a
l
o
g
y
,
t
e
m
p
e
r
a
t
u
r
e
,
a
n
d
p
r
e
s
s
u
r
e
f
r
o
m
t
h
e
c
o
o
l
,
s
i
l
i
c
i
c
c
u
p
o
l
a
t
o
t
h
e
h
o
t
t
e
r
,
m
o
r
e
m
a
f
i
c
r
e
g
i
o
n
d
e
e
p
e
r
w
i
t
h
i
n
t
h
e
c
h
a
m
b
e
r
.
1
3
0
T
o
d
a
y
,
t
h
i
s
m
o
d
e
l
o
f
m
a
g
m
a
c
h
a
m
b
e
r
z
o
n
a
t
i
o
n
i
s
w
i
d
e
l
y
a
c
c
e
p
t
e
d
a
n
d
i
s
s
t
r
o
n
g
l
y
s
u
p
p
o
r
t
e
d
b
y
b
o
t
h
e
x
p
e
r
i
m
e
n
t
a
l
a
n
d
p
e
t
r
o
l
o
g
i
c
w
o
r
k
(
L
i
p
m
a
n
,
1
9
6
7
;
S
m
i
t
h
,
1
9
7
9
;
M
c
B
i
r
n
e
y
,
1
9
8
0
;
H
i
l
d
r
e
t
h
,
1
9
8
1
;
W
o
l
f
f
a
n
d
S
t
o
r
e
y
,
1
9
8
4
;
B
a
k
e
r
a
n
d
M
c
B
i
r
n
e
y
,
1
9
8
5
;
B
a
c
o
n
a
n
d
D
r
u
i
t
t
,
1
9
8
8
)
.
T
h
e
m
o
d
e
l
f
o
r
v
e
r
t
i
c
a
l
d
r
a
w
d
o
w
n
o
f
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
d
u
r
i
n
g
e
r
u
p
t
i
o
n
h
o
w
e
v
e
r
,
h
a
s
b
e
e
n
e
x
t
e
n
s
i
v
e
l
y
m
o
d
i
f
i
e
d
o
v
e
r
t
h
e
p
a
s
t
f
e
w
y
e
a
r
s
,
a
n
d
w
i
l
l
b
e
d
i
s
c
u
s
s
e
d
m
o
r
e
f
u
l
l
y
i
n
t
h
e
s
e
c
t
i
o
n
o
n
e
r
u
p
t
i
o
n
d
y
n
a
m
i
c
s
.
R
e
c
o
g
n
i
t
i
o
n
t
h
a
t
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
i
n
a
n
a
s
h
—
f
l
o
w
t
u
f
f
r
e
p
r
e
s
e
n
t
s
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
a
d
i
e
n
t
s
i
n
t
h
e
p
a
r
e
n
t
m
a
g
m
a
c
h
a
m
b
e
r
w
a
s
a
n
i
m
p
o
r
t
a
n
t
s
t
e
p
i
n
u
n
d
e
r
s
t
a
n
d
i
n
g
h
i
g
h
-
l
e
v
e
l
s
i
l
i
c
i
c
s
y
s
t
e
m
s
(
S
m
i
t
h
,
1
9
7
9
;
H
i
l
d
r
e
t
h
,
1
9
8
1
)
.
C
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
,
c
r
u
s
t
a
l
a
n
a
t
e
x
i
s
,
m
a
g
m
a
m
i
x
i
n
g
,
a
n
d
v
o
l
a
t
i
l
e
t
r
a
n
s
f
e
r
w
e
r
e
f
o
r
m
a
n
y
y
e
a
r
s
t
h
e
m
a
i
n
s
t
a
y
p
r
o
c
e
s
s
e
s
b
y
w
h
i
c
h
i
t
w
a
s
t
h
o
u
g
h
t
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
o
f
m
a
g
m
a
b
o
d
i
e
s
o
c
c
u
r
r
e
d
(
c
f
.
B
o
w
e
n
,
1
9
2
8
;
L
i
p
m
a
n
,
1
9
6
7
;
S
m
i
t
h
,
1
9
7
9
)
.
A
l
a
n
d
m
a
r
k
s
t
u
d
y
o
f
m
a
g
m
a
t
i
c
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
p
r
e
s
e
n
t
e
d
b
y
H
i
l
d
r
e
t
h
(
1
9
8
1
)
u
s
e
d
m
a
n
y
o
f
t
h
e
i
d
e
a
s
o
f
e
a
r
l
i
e
r
w
o
r
k
e
r
s
a
n
d
i
n
c
o
r
p
o
r
a
t
e
d
t
h
e
m
w
i
t
h
i
n
t
h
e
f
r
a
m
e
w
o
r
k
o
f
t
h
e
r
m
o
g
r
a
v
i
t
a
t
i
o
n
a
l
d
i
f
f
u
s
i
o
n
.
T
h
e
r
m
o
g
r
a
v
i
t
a
t
i
o
n
a
l
d
i
f
f
u
s
i
o
n
c
a
n
b
e
s
e
p
a
r
a
t
e
d
i
n
t
o
t
w
o
p
r
o
c
e
s
s
e
s
;
t
h
e
s
e
a
r
e
d
o
u
b
l
e
-
d
i
f
f
u
s
i
v
e
c
o
n
v
e
c
t
i
o
n
a
n
d
S
o
r
e
t
d
i
f
f
u
s
i
o
n
.
D
o
u
b
l
e
-
d
i
f
f
u
s
i
v
e
c
o
n
v
e
c
t
i
o
n
a
n
d
S
o
r
e
t
d
i
f
f
u
s
i
o
n
r
e
l
y
o
n
t
h
e
r
m
a
l
a
n
d
/
o
r
d
e
n
s
i
t
y
g
r
a
d
i
e
n
t
s
w
i
t
h
i
n
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
t
o
i
n
i
t
i
a
t
e
c
o
n
v
e
c
t
i
o
n
,
a
n
d
i
t
h
a
s
b
e
e
n
1
3
1
a
r
g
u
e
d
t
h
a
t
t
h
e
y
p
r
o
v
i
d
e
a
s
t
r
o
n
g
i
m
p
e
t
u
s
f
o
r
m
a
g
m
a
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
.
H
i
l
d
r
e
t
h
(
1
9
7
9
,
1
9
8
1
)
p
r
o
p
o
s
e
d
t
h
a
t
e
n
r
i
c
h
m
e
n
t
/
d
e
p
l
e
t
i
o
n
t
r
e
n
d
s
f
o
r
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
s
r
o
o
f
w
a
r
d
i
n
t
h
e
L
o
n
g
V
a
l
l
e
y
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
e
r
e
f
o
r
m
e
d
b
y
S
o
r
e
t
d
i
f
f
u
s
i
o
n
a
n
d
v
o
l
a
t
i
l
e
c
o
m
p
l
e
x
i
n
g
c
o
u
p
l
e
d
w
i
t
h
c
o
n
v
e
c
t
i
v
e
c
i
r
c
u
l
a
t
i
o
n
.
H
i
l
d
r
e
t
h
(
1
9
8
1
)
a
l
s
o
c
o
n
c
l
u
d
e
d
t
h
a
t
c
r
y
s
t
a
l
-
l
i
q
u
i
d
f
r
a
c
t
i
o
n
a
t
i
o
n
c
o
u
l
d
n
o
t
h
a
v
e
g
e
n
e
r
a
t
e
d
t
h
e
o
b
s
e
r
v
e
d
t
r
e
n
d
s
.
M
i
c
h
a
e
l
(
1
9
8
3
a
,
b
)
r
e
a
n
a
l
y
z
e
d
H
i
l
d
r
e
t
h
'
s
d
a
t
a
,
a
n
d
C
a
m
e
r
o
n
(
1
9
8
3
)
p
r
e
s
e
n
t
e
d
n
e
w
d
a
t
a
t
h
a
t
w
a
s
i
n
t
e
r
p
r
e
t
e
d
t
o
s
h
o
w
t
h
a
t
c
r
y
s
t
a
l
-
l
i
q
u
i
d
f
r
a
c
t
i
o
n
a
t
i
o
n
c
o
u
l
d
n
o
t
b
e
d
i
s
m
i
s
s
e
d
a
s
a
v
i
a
b
l
e
e
v
o
l
u
t
i
o
n
a
r
y
m
e
c
h
a
n
i
s
m
f
o
r
t
h
e
L
o
n
g
V
a
l
l
e
y
m
a
g
m
a
t
i
c
s
y
s
t
e
m
b
a
s
e
d
o
n
t
r
a
c
e
e
l
e
m
e
n
t
p
a
r
t
i
t
i
o
n
i
n
g
b
e
t
w
e
e
n
g
l
a
s
s
a
n
d
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
p
r
e
s
e
n
t
i
n
t
h
e
B
i
s
h
o
p
T
u
f
f
.
T
h
u
s
g
e
o
c
h
e
m
i
c
a
l
o
r
p
e
t
r
o
l
o
g
i
c
e
v
i
d
e
n
c
e
f
o
r
t
h
e
o
c
c
u
r
r
e
n
c
e
o
f
S
o
r
e
t
d
i
f
f
u
s
i
o
n
i
n
m
a
g
m
a
b
o
d
i
e
s
s
t
i
l
l
r
e
m
a
i
n
s
t
o
b
e
f
o
u
n
d
.
E
x
p
e
r
i
m
e
n
t
a
l
w
o
r
k
b
y
H
u
p
p
e
r
t
a
n
d
S
p
a
r
k
s
(
1
9
8
4
)
;
H
u
p
p
e
r
t
,
e
t
a
l
.
,
(
1
9
8
4
)
;
S
p
a
r
k
s
,
e
t
a
l
.
,
(
1
9
8
4
)
;
M
c
B
i
r
n
e
y
,
e
t
a
l
.
,
(
1
9
8
5
)
;
B
a
k
e
r
a
n
d
M
c
B
i
r
n
e
y
,
(
1
9
8
5
)
;
a
n
d
N
i
l
s
o
n
,
e
t
a
l
.
,
(
1
9
8
5
)
h
a
v
e
s
h
o
w
n
t
h
a
t
s
p
o
n
t
a
n
e
o
u
s
d
o
u
b
l
e
-
d
i
f
f
u
s
i
v
e
c
o
n
v
e
c
t
i
o
n
c
o
u
l
d
o
c
c
u
r
i
n
f
l
u
i
d
s
w
h
i
c
h
c
o
n
t
a
i
n
e
d
i
n
i
t
i
a
l
t
e
m
p
e
r
a
t
u
r
e
a
n
d
/
o
r
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
a
d
i
e
n
t
s
.
W
i
t
h
t
i
m
e
,
d
o
u
b
l
e
-
d
i
f
f
u
s
i
v
e
c
o
n
v
e
c
t
i
o
n
w
o
u
l
d
f
o
r
m
t
h
e
r
m
a
l
l
y
a
n
d
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
s
t
a
b
l
e
h
o
r
i
z
o
n
t
a
l
l
a
y
e
r
s
i
n
a
f
l
u
i
d
.
B
a
k
e
r
a
n
d
M
c
B
i
r
n
e
y
(
1
9
8
5
)
a
r
g
u
e
d
t
h
a
t
b
o
u
n
d
a
r
y
l
a
y
e
r
t
r
a
n
s
p
o
r
t
a
l
o
n
g
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
w
a
l
l
s
c
o
u
p
l
e
d
w
i
t
h
1
3
2
c
r
y
s
t
a
l
-
l
i
q
u
i
d
f
r
a
c
t
i
o
n
a
t
i
o
n
i
n
t
h
e
m
a
i
n
m
a
g
m
a
b
o
d
y
w
a
s
t
h
e
d
o
m
i
n
a
n
t
m
e
c
h
a
n
i
s
m
r
e
s
p
o
n
s
i
b
l
e
f
o
r
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
a
n
d
z
o
n
a
t
i
o
n
o
f
m
o
s
t
m
a
g
m
a
b
o
d
i
e
s
;
n
o
t
d
o
u
b
l
e
-
d
i
f
f
u
s
i
v
e
c
o
n
v
e
c
t
i
o
n
a
s
p
r
o
p
o
s
e
d
b
y
o
t
h
e
r
w
o
r
k
e
r
s
(
c
f
.
H
i
l
d
r
e
t
h
,
1
9
7
9
,
1
9
8
1
;
M
a
h
o
o
d
,
1
9
8
1
)
.
R
e
c
e
n
t
m
a
t
h
e
m
a
t
i
c
a
l
m
o
d
e
l
l
i
n
g
o
f
d
o
u
b
l
e
-
d
i
f
f
u
s
i
v
e
c
o
n
v
e
c
t
i
o
n
w
h
i
c
h
s
i
m
u
l
a
t
e
s
r
e
a
l
m
a
g
m
a
t
i
c
c
o
n
d
i
t
i
o
n
s
(
S
p
e
r
a
,
e
t
a
l
.
,
1
9
8
6
)
h
a
s
b
e
e
n
i
n
t
e
r
p
r
e
t
e
d
t
o
s
h
o
w
t
h
a
t
s
t
e
a
d
y
-
s
t
a
t
e
l
a
y
e
r
i
n
g
f
o
r
m
e
d
b
y
d
o
u
b
l
e
-
d
i
f
f
u
s
i
v
e
c
o
n
v
e
c
t
i
o
n
n
e
v
e
r
o
c
c
u
r
s
w
i
t
h
i
n
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
.
H
o
w
e
v
e
r
,
t
h
i
s
m
e
c
h
a
n
i
s
m
w
a
s
l
a
t
e
r
p
r
o
p
o
s
e
d
b
y
F
r
i
d
r
i
c
h
a
n
d
M
a
h
o
o
d
(
1
9
8
7
)
t
o
a
c
c
o
u
n
t
f
o
r
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
o
b
s
e
r
v
e
d
i
n
t
h
e
G
r
i
z
z
l
y
P
e
a
k
m
a
g
m
a
t
i
c
s
y
s
t
e
m
.
I
f
d
o
u
b
l
e
-
d
i
f
f
u
s
i
v
e
c
o
n
v
e
c
t
i
o
n
i
s
n
o
t
a
v
i
a
b
l
e
m
e
c
h
a
n
i
s
m
f
o
r
c
r
e
a
t
i
n
g
c
o
m
p
o
s
i
t
i
o
n
a
l
l
a
y
e
r
i
n
g
,
t
h
i
s
i
m
p
l
i
e
s
t
h
a
t
c
h
e
m
i
c
a
l
a
n
d
t
h
e
r
m
a
l
z
o
n
a
t
i
o
n
s
m
u
s
t
o
c
c
u
r
b
y
s
o
m
e
o
t
h
e
r
p
r
o
c
e
s
s
s
u
c
h
a
s
,
b
u
t
n
o
t
l
i
m
i
t
e
d
t
o
:
1
)
b
o
u
n
d
a
r
y
l
a
y
e
r
t
r
a
n
s
p
o
r
t
(
c
f
.
B
a
k
e
r
a
n
d
M
c
B
i
r
n
e
y
,
1
9
8
5
)
,
2
)
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
(
M
i
c
h
a
e
l
,
1
9
8
3
a
)
,
3
)
m
a
g
m
a
m
i
x
i
n
g
(
c
f
.
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
b
)
,
a
n
d
/
o
r
4
)
i
n
j
e
c
t
i
o
n
i
n
t
o
o
r
u
n
d
e
r
p
l
a
t
i
n
g
o
f
t
h
e
m
a
g
m
a
b
o
d
y
b
y
m
o
r
e
m
a
f
i
c
(
p
r
i
m
i
t
i
v
e
)
m
a
g
m
a
(
c
f
.
W
h
i
t
n
e
y
,
e
t
a
l
.
,
1
9
8
8
)
.
D
i
f
f
e
r
e
n
t
i
a
t
i
o
n
p
r
o
c
e
s
s
e
s
s
u
c
h
a
s
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
,
a
s
s
i
m
i
l
a
t
i
o
n
,
m
a
g
m
a
m
i
x
i
n
g
,
a
n
d
p
a
r
t
i
a
l
m
e
l
t
i
n
g
a
r
e
t
h
e
o
n
l
y
p
r
o
c
e
s
s
e
s
t
h
a
t
c
a
n
c
u
r
r
e
n
t
l
y
b
e
q
u
a
n
t
i
t
a
t
i
v
e
l
y
e
v
a
l
u
a
t
e
d
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
i
t
h
t
h
e
e
x
i
s
t
i
n
g
d
a
t
a
b
a
s
e
.
1
3
3
T
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
M
a
g
m
a
t
i
c
S
y
s
t
e
m
T
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
f
o
u
n
d
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
f
r
o
m
a
n
a
l
y
s
e
s
o
f
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
a
n
d
p
h
e
n
o
c
r
y
s
t
s
i
s
i
n
t
e
r
p
r
e
t
e
d
t
o
r
e
p
r
e
s
e
n
t
t
h
e
m
i
n
i
m
u
m
c
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
p
r
e
s
e
n
t
i
n
t
h
e
p
a
r
e
n
t
a
l
m
a
g
m
a
t
i
c
s
y
s
t
e
m
o
f
e
a
c
h
m
e
m
b
e
r
a
p
p
r
o
x
i
m
a
t
e
l
y
1
1
M
a
a
g
o
(
F
i
g
s
.
7
,
9
)
.
A
f
e
w
a
n
o
m
a
l
o
u
s
g
l
a
s
s
,
f
e
l
d
s
p
a
r
,
b
i
o
t
i
t
e
a
n
d
a
m
p
h
i
b
o
l
e
a
n
a
l
y
s
e
s
m
a
y
r
e
f
l
e
c
t
t
h
e
p
r
e
s
e
n
c
e
o
f
a
m
o
r
e
m
a
f
i
c
m
a
g
m
a
c
o
m
p
o
s
i
t
i
o
n
n
o
t
c
u
r
r
e
n
t
l
y
i
d
e
n
t
i
f
i
e
d
i
n
t
h
e
p
u
m
i
c
e
s
a
m
p
l
e
s
(
F
i
g
s
.
2
3
,
2
5
a
n
d
3
5
)
.
W
a
r
r
e
n
,
e
t
a
l
.
,
(
1
9
8
9
)
a
l
s
o
n
o
t
e
t
h
e
p
r
e
s
e
n
c
e
o
f
a
b
a
s
a
l
t
i
c
c
o
m
p
o
n
e
n
t
i
n
t
h
e
i
r
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
m
p
l
e
s
.
B
a
s
e
d
o
n
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
h
e
t
e
r
o
g
e
n
e
i
t
y
p
r
e
s
e
n
t
i
n
e
a
c
h
m
e
m
b
e
r
,
t
h
e
c
o
n
f
i
g
u
r
a
t
i
o
n
o
f
t
h
e
p
a
r
e
n
t
a
l
m
a
g
m
a
t
i
c
s
y
s
t
e
m
c
a
n
p
o
t
e
n
t
i
a
l
l
y
b
e
m
o
d
e
l
l
e
d
i
n
s
e
v
e
r
a
l
w
a
y
s
:
1
)
A
s
i
n
g
l
e
m
a
g
m
a
c
h
a
m
b
e
r
i
n
w
h
i
c
h
t
h
e
e
n
t
i
r
e
m
a
g
m
a
b
o
d
y
i
s
c
o
n
t
i
n
u
o
u
s
l
y
z
o
n
e
d
f
r
o
m
a
m
o
r
e
m
a
f
i
c
b
a
s
e
t
o
a
m
o
r
e
f
e
l
s
i
c
t
o
p
d
u
e
t
o
t
h
e
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
o
f
a
n
i
n
i
t
i
a
l
l
y
h
o
m
o
g
e
n
e
o
u
s
p
a
r
e
n
t
m
a
g
m
a
(
w
i
t
h
s
o
m
e
p
o
s
s
i
b
l
e
a
s
s
i
m
i
l
a
t
i
o
n
o
f
s
u
r
r
o
u
n
d
i
n
g
c
o
u
n
t
r
y
r
o
c
k
)
.
1
3
4
2
)
A
s
i
n
g
l
e
m
a
g
m
a
c
h
a
m
b
e
r
i
n
w
h
i
c
h
m
a
g
m
a
s
o
f
d
i
f
f
e
r
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
a
r
e
b
r
o
u
g
h
t
t
o
g
e
t
h
e
r
s
o
m
e
t
i
m
e
p
r
i
o
r
t
o
e
r
u
p
t
i
o
n
f
o
r
m
i
n
g
a
l
a
y
e
r
e
d
s
e
q
u
e
n
c
e
.
T
h
e
o
r
i
g
i
n
o
f
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
s
b
e
i
n
g
m
o
s
t
l
i
k
e
l
y
d
u
e
t
o
v
a
r
i
a
t
i
o
n
s
i
n
p
a
r
t
i
a
l
m
e
l
t
i
n
g
p
r
o
c
e
s
s
e
s
o
r
s
o
u
r
c
e
r
o
c
k
h
e
t
e
r
o
g
e
n
e
i
t
i
e
s
(
+
/
-
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
a
n
d
a
s
s
i
m
i
l
a
t
i
o
n
w
i
t
h
i
n
e
a
c
h
m
a
g
m
a
b
a
t
c
h
)
.
3
)
M
u
l
t
i
p
l
e
m
a
g
m
a
c
h
a
m
b
e
r
s
w
h
e
r
e
e
a
c
h
d
i
s
c
r
e
t
e
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
r
e
s
i
d
e
s
i
n
a
s
e
p
a
r
a
t
e
c
h
a
m
b
e
r
.
T
h
e
o
r
i
g
i
n
o
f
e
a
c
h
m
a
g
m
a
b
e
i
n
g
a
n
y
o
n
e
o
r
c
o
m
b
i
n
a
t
i
o
n
o
f
p
r
o
c
e
s
s
e
s
w
h
i
c
h
c
a
n
g
e
n
e
r
a
t
e
a
h
o
m
o
g
e
n
e
o
u
s
t
o
h
e
t
e
r
o
g
e
n
e
o
u
s
m
a
g
m
a
b
o
d
y
.
4
)
S
o
m
e
c
o
m
b
i
n
a
t
i
o
n
o
f
t
h
e
a
b
o
v
e
m
o
d
e
l
s
.
F
o
r
e
a
c
h
m
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
m
o
d
e
l
n
u
m
b
e
r
f
o
u
r
i
s
t
h
e
m
o
s
t
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
d
a
t
a
.
T
h
e
d
a
t
a
a
r
e
m
o
r
e
c
o
n
s
i
s
t
e
n
t
w
i
t
h
a
m
o
d
e
l
w
h
e
r
e
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
a
l
g
r
o
u
p
s
a
s
d
e
f
i
n
e
d
b
y
t
h
e
g
e
o
c
h
e
m
i
c
a
l
d
a
t
a
(
g
r
o
u
p
s
1
R
t
o
B
R
a
n
d
g
r
o
u
p
s
1
A
t
o
3
A
;
F
i
g
s
.
4
,
5
a
)
,
h
a
v
e
b
e
e
n
g
e
n
e
r
a
t
e
d
b
y
e
i
t
h
e
r
d
i
f
f
e
r
e
n
t
d
e
g
r
e
e
s
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
a
s
o
u
r
c
e
r
o
c
k
o
r
p
a
r
t
i
a
l
1
3
5
m
e
l
t
i
n
g
o
f
d
i
f
f
e
r
e
n
t
s
o
u
r
c
e
r
o
c
k
s
.
T
h
e
s
e
m
a
g
m
a
s
w
e
r
e
b
r
o
u
g
h
t
t
o
g
e
t
h
e
r
a
t
s
o
m
e
p
o
i
n
t
i
n
t
i
m
e
t
o
f
o
r
m
a
l
a
r
g
e
v
o
l
u
m
e
m
a
g
m
a
b
o
d
y
.
T
h
e
g
e
o
c
h
e
m
i
c
a
l
s
i
m
i
l
a
r
i
t
y
b
e
t
w
e
e
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
p
r
o
b
a
b
l
y
i
n
d
i
c
a
t
e
s
t
h
a
t
t
h
e
b
u
l
k
o
f
t
h
e
d
o
m
i
n
a
n
t
v
o
l
u
m
e
m
a
g
m
a
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
w
a
s
n
o
t
e
r
u
p
t
e
d
a
n
d
r
e
m
a
i
n
e
d
t
o
f
o
r
m
t
h
e
k
e
r
n
e
l
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
m
a
g
m
a
t
i
c
s
y
s
t
e
m
.
T
h
e
p
r
e
s
e
n
c
e
o
f
d
i
s
c
r
e
t
e
l
a
y
e
r
s
h
o
w
e
v
e
r
i
s
e
q
u
i
v
o
c
a
l
w
i
t
h
t
h
e
c
u
r
r
e
n
t
d
a
t
a
b
u
t
a
r
e
i
n
f
e
r
r
e
d
h
e
r
e
t
o
h
a
v
e
i
n
i
t
i
a
l
l
y
e
x
i
s
t
e
d
.
T
h
e
s
e
m
a
g
m
a
s
w
e
r
e
p
r
o
b
a
b
l
y
t
h
e
n
m
o
d
i
f
i
e
d
o
v
e
r
t
i
m
e
b
y
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
,
a
s
s
i
m
i
l
a
t
i
o
n
a
n
d
m
a
g
m
a
m
i
x
i
n
g
.
F
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
i
t
i
s
a
l
s
o
i
n
f
e
r
r
e
d
t
h
a
t
a
t
l
e
a
s
t
t
w
o
m
a
g
m
a
c
h
a
m
b
e
r
s
w
e
r
e
i
n
e
x
i
s
t
a
n
c
e
a
t
t
h
e
t
i
m
e
o
f
e
r
u
p
t
i
o
n
;
t
h
e
d
o
m
i
n
a
n
t
v
o
l
u
m
e
c
h
a
m
b
e
r
c
o
n
t
a
i
n
i
n
g
g
e
o
c
h
e
m
i
c
a
l
g
r
o
u
p
s
1
R
t
o
3
R
(
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
l
o
w
-
N
b
,
h
i
g
h
s
i
l
i
c
a
r
h
y
o
l
i
t
e
)
a
n
d
a
m
u
c
h
s
m
a
l
l
e
r
c
h
a
m
b
e
r
c
o
n
t
a
i
n
i
n
g
g
r
o
u
p
4
R
(
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
)
(
F
i
g
s
.
4
,
5
a
)
.
F
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
i
t
i
s
u
n
c
l
e
a
r
w
h
e
t
h
e
r
t
w
o
s
e
p
a
r
a
t
e
c
h
a
m
b
e
r
s
r
e
m
a
i
n
e
d
i
n
e
x
i
s
t
a
n
c
e
a
l
t
h
o
u
g
h
T
h
a
n
d
Y
b
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
s
u
g
g
e
s
t
t
h
a
t
t
w
o
h
i
g
h
—
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
m
a
y
h
a
v
e
b
e
e
n
p
r
e
s
e
n
t
.
T
h
e
d
i
s
c
u
s
s
i
o
n
t
h
a
t
f
o
l
l
o
w
s
a
t
t
e
m
p
t
s
t
o
o
u
t
l
i
n
e
h
o
w
t
h
e
v
a
r
i
o
u
s
g
e
o
c
h
e
m
i
c
a
l
,
m
i
n
e
r
a
l
o
g
i
c
a
l
,
g
e
o
t
h
e
r
m
o
m
e
t
r
i
c
d
a
t
a
a
n
d
p
e
t
r
o
g
e
n
e
t
i
c
m
o
d
e
l
l
i
n
g
a
r
e
e
i
t
h
e
r
c
o
n
s
i
s
t
e
n
t
o
r
i
n
c
o
n
s
i
s
t
e
n
t
w
i
t
h
m
o
d
e
l
s
1
t
h
r
u
3
g
i
v
e
n
a
b
o
v
e
a
n
d
t
h
e
p
r
o
p
o
s
e
d
m
o
d
e
l
.
1
3
6
G
e
o
c
h
e
m
i
c
a
l
H
e
t
e
r
o
g
e
n
e
i
t
y
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
M
a
g
m
a
t
i
c
S
y
s
t
e
m
s
T
h
e
g
r
a
d
u
a
l
c
h
a
n
g
e
i
n
p
u
m
i
c
e
a
n
d
p
h
e
n
o
c
r
y
s
t
g
e
o
c
h
e
m
i
c
a
l
d
a
t
a
f
o
r
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
i
s
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
m
o
d
e
l
o
f
a
m
a
g
m
a
c
h
a
m
b
e
r
z
o
n
e
d
f
r
o
m
a
b
a
s
a
l
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
a
r
o
o
f
w
a
r
d
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
C
o
m
p
l
i
c
a
t
i
n
g
t
h
i
s
m
o
d
e
l
h
o
w
e
v
e
r
,
i
s
t
h
e
p
r
e
s
e
n
c
e
o
f
g
a
p
s
i
n
t
h
e
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
,
b
e
s
t
s
e
e
n
i
n
v
a
r
i
a
t
i
o
n
p
l
o
t
s
w
i
t
h
$
1
0
2
a
s
o
n
e
o
f
t
h
e
v
a
r
i
a
b
l
e
s
(
F
i
g
s
.
7
,
9
)
.
O
t
h
e
r
e
l
e
m
e
n
t
s
s
u
c
h
a
s
A
1
2
0
3
,
M
g
O
,
P
2
0
5
,
S
r
,
S
c
,
a
n
d
H
f
a
l
s
o
h
a
v
e
g
a
p
s
i
n
t
h
e
i
r
r
a
n
g
e
o
f
c
o
n
c
e
n
t
r
a
t
i
o
n
s
(
F
i
g
s
.
7
,
8
,
9
,
1
0
)
.
T
h
e
s
e
g
a
p
s
c
o
r
r
e
s
p
o
n
d
t
o
c
o
m
p
o
s
i
t
i
o
n
a
l
c
h
a
n
g
e
s
b
e
t
w
e
e
n
t
r
a
c
h
y
a
n
d
e
s
i
t
i
c
a
n
d
t
r
a
c
h
y
d
a
c
i
t
i
c
c
o
m
p
o
n
e
n
t
s
(
6
2
w
t
%
t
o
6
4
w
t
%
S
i
O
Z
)
,
a
n
d
,
i
n
t
h
e
r
h
y
o
l
i
t
i
c
c
o
m
p
o
n
e
n
t
s
(
7
1
w
t
%
t
o
7
4
w
t
%
S
i
O
z
)
.
P
o
s
s
i
b
l
e
o
r
i
g
i
n
s
f
o
r
t
h
e
s
e
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
i
n
c
l
u
d
e
s
a
m
p
l
i
n
g
b
i
a
s
,
c
h
a
n
g
i
n
g
r
a
t
e
s
o
f
e
r
u
p
t
i
o
n
(
S
p
e
r
a
,
e
t
a
l
.
,
1
9
8
6
)
,
t
h
e
p
r
e
s
e
n
c
e
o
f
a
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
l
a
y
e
r
e
d
m
a
g
m
a
c
h
a
m
b
e
r
,
o
r
,
c
o
e
v
a
l
e
r
u
p
t
i
o
n
o
f
u
n
r
e
l
a
t
e
d
m
a
g
m
a
b
o
d
i
e
s
.
W
i
t
h
t
h
e
c
u
r
r
e
n
t
d
a
t
a
h
o
w
e
v
e
r
,
i
t
i
s
e
q
u
i
v
o
c
a
l
a
s
t
o
w
h
e
t
h
e
r
o
r
n
o
t
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
w
e
r
e
p
r
e
s
e
n
t
i
n
t
h
e
p
a
r
e
n
t
m
a
g
m
a
c
h
a
m
b
e
r
.
A
d
i
s
c
u
s
s
i
o
n
o
f
e
a
c
h
o
f
t
h
e
p
o
s
s
i
b
l
e
o
r
i
g
i
n
s
f
o
r
t
h
e
c
l
u
s
t
e
r
i
n
g
o
f
d
a
t
a
a
n
d
p
r
e
s
e
n
c
e
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
i
s
g
i
v
e
n
b
e
l
o
w
.
I
n
l
i
g
h
t
o
f
t
h
e
d
e
t
a
i
l
e
d
s
a
m
p
l
i
n
g
p
e
r
f
o
r
m
e
d
f
o
r
t
h
i
s
s
t
u
d
y
,
i
t
s
e
e
m
s
u
n
l
i
k
e
l
y
t
h
a
t
s
a
m
p
l
e
b
i
a
s
w
a
s
r
e
s
p
o
n
s
i
b
l
e
1
3
7
f
o
r
t
h
e
g
a
p
s
i
n
d
a
t
a
.
A
n
i
n
t
r
i
g
u
i
n
g
,
b
u
t
n
o
t
s
u
r
p
r
i
s
i
n
g
o
b
s
e
r
v
a
t
i
o
n
m
a
d
e
b
y
W
a
r
r
e
n
,
e
t
a
l
.
,
(
1
9
8
9
)
,
b
a
s
e
d
o
n
d
a
t
a
f
r
o
m
w
h
o
l
e
-
r
o
c
k
t
u
f
f
s
a
m
p
l
e
s
f
o
r
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
i
n
d
i
c
a
t
e
s
t
h
a
t
l
a
t
e
r
a
l
v
a
r
i
a
t
i
o
n
s
i
n
t
h
e
c
o
m
p
o
s
i
t
i
o
n
o
f
t
h
e
t
u
f
f
s
d
o
e
s
o
c
c
u
r
.
W
a
r
r
e
n
,
e
t
a
l
.
,
(
1
9
8
9
)
n
o
t
e
t
h
a
t
t
h
e
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
p
r
e
s
e
n
t
i
n
s
o
m
e
a
r
e
a
s
o
f
t
h
e
o
u
t
f
l
o
w
s
h
e
e
t
s
m
a
y
n
o
t
o
c
c
u
r
i
n
o
t
h
e
r
a
r
e
a
s
.
F
u
r
t
h
e
r
d
e
t
a
i
l
e
d
w
o
r
k
w
i
t
h
o
t
h
e
r
s
t
r
a
t
i
g
r
a
p
h
i
c
s
e
c
t
i
o
n
s
w
i
l
l
h
a
v
e
t
o
b
e
d
o
n
e
t
o
r
e
s
o
l
v
e
t
h
i
s
p
o
t
e
n
t
i
a
l
p
r
o
b
l
e
m
.
T
h
e
o
r
i
g
i
n
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
i
n
f
o
s
s
i
l
v
o
l
c
a
n
i
c
s
y
s
t
e
m
s
d
u
e
t
o
t
h
e
s
e
c
u
l
a
r
v
a
r
i
a
t
i
o
n
i
n
e
r
u
p
t
i
o
n
r
a
t
e
a
s
d
i
s
c
u
s
s
e
d
b
y
S
p
e
r
a
,
e
t
a
l
.
,
(
1
9
8
6
)
i
s
a
k
i
n
e
m
a
t
i
c
p
r
o
b
l
e
m
t
h
a
t
v
o
l
c
a
n
o
l
o
g
i
s
t
s
a
n
d
i
g
n
e
o
u
s
p
e
t
r
o
l
o
g
i
s
t
s
w
i
l
l
i
n
m
o
s
t
c
a
s
e
s
b
e
u
n
a
b
l
e
t
o
r
e
c
o
n
s
t
r
u
c
t
.
T
o
t
e
s
t
t
h
i
s
h
y
p
o
t
h
e
s
i
s
,
t
h
e
e
r
u
p
t
i
o
n
r
a
t
e
m
u
s
t
b
e
k
n
o
w
n
o
r
a
t
l
e
a
s
t
a
p
p
r
o
x
i
m
a
t
e
d
;
a
p
r
o
b
l
e
m
t
h
a
t
i
s
c
u
r
r
e
n
t
l
y
d
i
f
f
i
c
u
l
t
t
o
r
e
s
o
l
v
e
f
o
r
h
i
s
t
o
r
i
c
e
r
u
p
t
i
o
n
s
,
l
e
t
a
l
o
n
e
1
2
M
a
o
l
d
e
r
u
p
t
i
o
n
s
.
H
o
w
e
v
e
r
,
t
h
e
p
r
e
s
e
n
c
e
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
i
n
c
h
e
m
i
c
a
l
d
a
t
a
f
o
r
a
s
h
-
f
l
o
w
s
h
e
e
t
s
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
m
a
y
s
i
g
n
i
f
y
,
a
s
o
b
v
i
o
u
s
a
s
i
t
s
e
e
m
s
,
t
h
a
t
t
h
e
r
e
w
e
r
e
f
u
n
d
a
m
e
n
t
a
l
p
h
y
s
i
o
c
h
e
m
i
c
a
l
p
r
o
p
e
r
t
i
e
s
p
r
e
s
e
n
t
i
n
t
h
e
s
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
t
h
a
t
c
o
n
s
i
s
t
e
n
t
l
y
a
l
l
o
w
e
d
f
o
r
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
t
o
o
c
c
u
r
.
I
f
i
t
i
s
a
s
s
u
m
e
d
t
h
a
t
e
a
c
h
m
a
g
m
a
c
h
a
m
b
e
r
w
a
s
c
o
n
t
i
n
u
o
u
s
l
y
z
o
n
e
d
w
i
t
h
r
e
s
p
e
c
t
t
o
c
o
m
p
o
s
i
t
i
o
n
a
n
d
t
e
m
p
e
r
a
t
u
r
e
,
t
h
e
o
p
t
i
o
n
s
a
r
e
:
1
)
i
t
m
a
y
h
a
v
e
b
e
e
n
f
o
r
t
u
i
t
o
u
s
t
h
a
t
c
h
a
n
g
i
n
g
r
a
t
e
s
o
f
e
r
u
p
t
i
o
n
1
3
8
r
e
s
u
l
t
e
d
i
n
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
b
e
t
w
e
e
n
t
h
e
t
r
a
c
h
y
d
a
c
i
t
i
c
o
r
q
u
a
r
t
z
l
a
t
i
t
i
c
m
a
g
m
a
a
n
d
u
p
p
e
r
l
e
v
e
l
r
h
y
o
l
i
t
e
s
i
n
e
a
c
h
o
f
t
h
e
a
s
h
-
f
l
o
w
s
h
e
e
t
s
,
2
)
i
t
m
a
y
b
e
a
f
u
n
d
a
m
e
n
t
a
l
p
r
o
p
e
r
t
y
o
f
t
h
e
e
r
u
p
t
i
o
n
o
f
a
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
l
a
y
e
r
e
d
m
a
g
m
a
t
i
c
s
y
s
t
e
m
,
o
r
3
)
c
o
e
v
a
l
e
r
u
p
t
i
o
n
o
f
m
u
l
t
i
p
l
e
m
a
g
m
a
b
o
d
i
e
s
.
I
f
e
r
u
p
t
i
o
n
r
a
t
e
v
a
r
i
a
t
i
o
n
w
a
s
r
e
s
p
o
n
s
i
b
l
e
f
o
r
t
h
e
g
a
p
s
,
t
h
e
n
t
h
e
c
o
n
t
r
o
l
l
i
n
g
f
a
c
t
o
r
i
n
t
h
e
r
a
t
e
o
f
e
r
u
p
t
i
o
n
w
o
u
l
d
m
o
s
t
l
i
k
e
l
y
b
e
a
f
u
n
c
t
i
o
n
o
f
m
e
l
t
v
i
s
c
o
s
i
t
y
,
d
e
n
s
i
t
y
a
n
d
/
o
r
v
o
l
a
t
i
l
e
c
o
n
t
e
n
t
w
h
e
r
e
a
r
a
p
i
d
i
n
c
r
e
a
s
e
o
r
d
e
c
r
e
a
s
e
i
n
t
h
e
s
e
p
a
r
a
m
e
t
e
r
s
w
o
u
l
d
h
a
v
e
a
t
l
e
a
s
t
t
e
m
p
o
r
a
r
i
l
y
s
p
e
d
u
p
o
r
s
l
o
w
e
d
d
o
w
n
c
h
a
m
b
e
r
e
v
a
c
u
a
t
i
o
n
.
T
h
i
s
e
x
p
l
a
n
a
t
i
o
n
h
o
w
e
v
e
r
,
i
s
i
n
s
u
p
p
o
r
t
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
d
i
s
c
o
n
t
i
n
u
i
t
i
e
s
;
t
h
e
v
e
r
y
a
r
g
u
m
e
n
t
S
p
e
r
a
,
e
t
a
l
.
,
(
1
9
8
6
)
w
i
s
h
t
o
d
i
s
c
o
u
n
t
.
M
o
r
e
d
e
t
a
i
l
e
d
w
o
r
k
n
e
e
d
s
t
o
b
e
d
o
n
e
o
n
t
h
i
s
p
h
e
n
o
m
e
n
a
.
S
t
r
u
c
t
u
r
a
l
c
o
n
t
r
o
l
s
s
u
c
h
a
s
c
h
a
m
b
e
r
m
o
r
p
h
o
l
o
g
y
,
l
a
t
e
r
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
s
i
n
t
h
e
m
a
g
m
a
b
o
d
y
,
o
r
,
t
r
a
p
d
o
o
r
s
u
b
s
i
d
e
n
c
e
m
a
y
a
l
s
o
l
e
a
d
t
o
d
i
f
f
e
r
e
n
t
i
a
l
s
a
m
p
l
i
n
g
o
f
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
u
p
o
n
e
r
u
p
t
i
o
n
(
c
f
.
W
a
r
r
e
n
,
e
t
a
l
.
,
1
9
8
9
)
.
I
t
w
o
u
l
d
b
e
g
e
o
l
o
g
i
c
a
l
l
y
r
e
a
s
o
n
a
b
l
e
t
o
a
s
s
u
m
e
t
h
a
t
s
o
m
e
,
i
f
n
o
t
a
l
l
,
o
f
t
h
e
a
b
o
v
e
m
e
c
h
a
n
i
s
m
s
w
e
r
e
a
c
t
i
n
g
t
o
s
o
m
e
d
e
g
r
e
e
d
u
r
i
n
g
e
r
u
p
t
i
o
n
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
T
h
e
q
u
e
s
t
i
o
n
r
e
m
a
i
n
s
a
s
t
o
t
h
e
d
e
g
r
e
e
o
f
e
f
f
e
c
t
i
v
e
n
e
s
s
o
f
e
a
c
h
f
a
c
t
o
r
i
n
c
r
e
a
t
i
n
g
p
o
t
e
n
t
i
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
.
I
t
w
o
u
l
d
s
t
i
l
l
s
e
e
m
s
o
m
e
w
h
a
t
f
o
r
t
u
i
t
o
u
s
h
o
w
e
v
e
r
t
h
a
t
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
1
3
9
c
o
n
t
i
n
u
a
l
l
y
a
p
p
e
a
r
i
n
t
h
e
m
a
j
o
r
a
s
h
-
f
l
o
w
s
h
e
e
t
s
o
f
t
h
e
S
W
N
V
F
(
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
1
9
8
9
;
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
a
)
a
n
d
i
n
o
t
h
e
r
a
s
h
-
f
l
o
w
t
u
f
f
s
f
r
o
m
a
r
o
u
n
d
t
h
e
w
o
r
l
d
(
s
e
e
F
i
g
u
r
e
1
,
H
i
l
d
r
e
t
h
,
1
9
8
1
)
a
t
r
o
u
g
h
l
y
t
h
e
s
a
m
e
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
a
l
i
n
t
e
r
v
a
l
i
f
s
o
m
e
m
e
c
h
a
n
i
s
m
o
t
h
e
r
t
h
a
n
t
h
e
p
r
e
s
e
n
c
e
o
f
a
l
a
y
e
r
e
d
m
a
g
m
a
b
o
d
y
,
o
r
m
u
l
t
i
p
l
e
m
a
g
m
a
b
o
d
i
e
s
,
w
e
r
e
o
p
e
r
a
t
i
n
g
.
I
n
l
i
g
h
t
o
f
t
h
e
m
o
d
e
l
l
i
n
g
o
f
S
p
e
r
a
,
e
t
a
l
.
,
(
1
9
8
6
)
,
t
h
e
r
e
i
s
n
o
d
a
t
a
t
o
s
u
p
p
o
r
t
o
r
r
e
j
e
c
t
t
h
e
g
e
n
e
r
a
t
i
o
n
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
b
y
e
r
u
p
t
i
o
n
k
i
n
e
t
i
c
s
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
s
y
s
t
e
m
.
I
n
a
d
d
i
t
i
o
n
,
i
f
t
h
e
e
x
p
e
r
i
m
e
n
t
a
l
w
o
r
k
o
f
B
l
a
k
e
(
1
9
8
1
)
a
n
d
B
l
a
k
e
a
n
d
I
v
e
y
(
1
9
8
6
)
o
n
m
a
g
m
a
w
i
t
h
d
r
a
w
a
l
i
s
e
v
e
n
p
a
r
t
i
a
l
l
y
c
o
r
r
e
c
t
,
t
h
e
n
o
n
c
e
a
g
a
i
n
i
t
b
e
c
o
m
e
s
d
i
f
f
i
c
u
l
t
t
o
e
x
p
l
a
i
n
a
w
a
y
t
h
e
a
b
s
e
n
c
e
o
f
i
n
t
e
r
m
e
d
i
a
t
e
m
a
g
m
a
c
o
m
p
o
s
i
t
i
o
n
s
(
s
e
e
e
r
u
p
t
i
o
n
d
y
n
a
m
i
c
s
d
i
s
c
u
s
s
i
o
n
)
.
B
a
s
e
d
o
n
l
y
o
n
t
h
e
g
e
o
c
h
e
m
i
c
a
l
d
a
t
a
t
h
e
n
,
a
l
a
y
e
r
e
d
m
a
g
m
a
t
i
c
s
y
s
t
e
m
a
n
d
/
o
r
m
u
l
t
i
p
l
e
-
b
o
d
i
e
d
m
a
g
m
a
t
i
c
s
y
s
t
e
m
m
a
y
h
a
v
e
e
x
i
s
t
e
d
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
s
y
s
t
e
m
,
a
s
t
h
a
t
o
f
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
T
u
f
f
p
a
r
e
n
t
a
l
m
a
g
m
a
c
h
a
m
b
e
r
(
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
1
9
8
6
,
1
9
8
9
)
.
M
i
n
e
r
a
l
o
g
i
c
a
l
V
a
r
i
a
t
i
o
n
s
M
i
n
e
r
a
l
o
g
i
c
a
l
d
a
t
a
i
n
s
u
p
p
o
r
t
o
f
m
a
g
m
a
c
h
a
m
b
e
r
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
a
r
e
a
g
a
i
n
e
q
u
i
v
o
c
a
l
.
M
o
d
a
l
p
h
e
n
o
c
r
y
s
t
d
a
t
a
f
o
r
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
t
u
f
f
r
e
v
e
a
l
a
s
h
a
r
p
d
r
o
p
i
n
p
h
e
n
o
c
r
y
s
t
m
o
d
a
l
p
e
r
c
e
n
t
a
g
e
s
i
n
p
u
m
i
c
e
1
4
0
f
r
a
g
m
e
n
t
s
(
2
5
%
D
R
E
(
d
e
n
s
e
r
o
c
k
e
q
u
i
v
a
l
e
n
t
)
t
o
1
0
%
D
R
E
)
f
r
o
m
a
p
p
r
o
x
i
m
a
t
e
l
y
6
7
w
t
%
S
i
0
2
t
o
7
0
w
t
%
w
h
o
l
e
-
p
u
m
i
c
e
S
i
O
Z
r
e
s
p
e
c
t
i
v
e
l
y
(
T
a
b
l
e
2
)
.
T
h
i
s
c
o
r
r
e
s
p
o
n
d
s
d
i
r
e
c
t
l
y
w
i
t
h
t
h
e
g
e
o
c
h
e
m
i
c
a
l
d
a
t
a
g
a
p
b
e
t
w
e
e
n
t
h
e
t
r
a
c
h
y
d
a
c
i
t
i
c
a
n
d
r
h
y
o
l
i
t
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
(
F
i
g
s
.
7
,
9
)
.
A
l
s
o
o
c
c
u
r
r
i
n
g
i
n
b
o
t
h
m
e
m
b
e
r
s
a
t
a
p
p
r
o
x
i
m
a
t
e
l
y
6
4
w
t
%
$
1
0
2
i
s
a
s
i
g
n
i
f
i
c
a
n
t
d
e
c
r
e
a
s
e
i
n
p
h
e
n
o
c
r
y
s
t
c
o
n
t
e
n
t
f
r
o
m
a
p
p
r
o
x
i
m
a
t
e
l
y
2
3
%
D
R
E
t
o
1
6
%
D
R
E
w
h
i
c
h
a
g
a
i
n
c
o
r
r
e
s
p
o
n
d
s
t
o
a
m
i
n
o
r
g
e
o
c
h
e
m
i
c
a
l
g
a
p
(
T
a
b
l
e
2
;
F
i
g
s
.
7
,
9
)
.
H
i
s
t
o
g
r
a
m
s
o
f
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
f
o
r
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
d
o
n
o
t
h
o
w
e
v
e
r
r
e
v
e
a
l
d
i
s
t
i
n
c
t
b
i
m
o
d
a
l
o
r
p
o
l
y
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
s
i
n
c
o
m
p
o
s
i
t
i
o
n
l
i
k
e
t
h
o
s
e
o
b
s
e
r
v
e
d
i
n
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
M
e
m
b
e
r
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
(
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
1
9
8
6
,
1
9
8
9
)
.
T
h
e
b
i
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
i
n
b
i
o
t
i
t
e
c
o
m
p
o
s
i
t
i
o
n
s
i
n
t
h
e
T
o
p
O
p
a
h
S
p
r
i
n
g
T
u
f
f
w
a
s
u
s
e
d
b
y
t
h
e
s
e
w
o
r
k
e
r
s
a
s
o
n
e
l
i
n
e
o
f
e
v
i
d
e
n
c
e
t
o
i
n
f
e
r
t
h
e
p
r
e
s
e
n
c
e
o
f
a
c
o
m
p
o
s
i
t
i
o
n
a
l
i
n
t
e
r
f
a
c
e
b
e
t
w
e
e
n
q
u
a
r
t
z
l
a
t
i
t
i
c
a
n
d
r
h
y
o
l
i
t
i
c
m
a
g
m
a
s
i
n
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
m
a
g
m
a
t
i
c
s
y
s
t
e
m
.
E
x
a
m
i
n
a
t
i
o
n
o
f
s
t
a
c
k
e
d
h
i
s
t
o
g
r
a
m
s
o
f
t
h
e
M
g
#
o
r
s
e
l
e
c
t
e
d
e
l
e
m
e
n
t
s
(
t
h
o
s
e
w
h
i
c
h
h
a
v
e
m
i
n
i
m
a
l
s
c
a
t
t
e
r
)
v
e
r
s
u
s
i
n
c
r
e
a
s
i
n
g
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
f
o
r
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
r
e
v
e
a
l
s
c
u
r
v
i
l
i
n
e
a
r
t
r
e
n
d
s
i
n
t
h
e
d
a
t
a
f
r
o
m
t
h
e
m
o
s
t
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
t
o
m
o
s
t
e
v
o
l
v
e
d
p
u
m
i
c
e
f
r
a
g
m
e
n
t
(
c
f
.
F
i
g
s
.
2
3
,
2
5
,
3
2
)
.
T
h
e
r
e
d
o
e
s
n
o
t
a
p
p
e
a
r
t
o
b
e
a
n
y
i
n
d
i
c
a
t
i
o
n
o
f
s
h
a
r
p
c
o
m
p
o
s
i
t
i
o
n
a
l
b
r
e
a
k
s
1
4
1
i
n
a
n
y
o
f
t
h
e
p
l
o
t
s
o
f
t
h
i
s
t
y
p
e
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
h
o
r
n
b
l
e
n
d
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
w
h
e
r
e
t
h
e
C
a
O
a
n
d
A
1
2
0
3
h
i
s
t
o
g
r
a
m
s
f
o
r
h
o
r
n
b
l
e
n
d
e
i
n
d
i
c
a
t
e
t
w
o
d
i
s
t
i
n
c
t
c
o
m
p
o
s
i
t
i
o
n
s
(
F
i
g
s
.
3
3
,
3
4
)
.
T
h
u
s
,
v
a
r
i
a
b
l
e
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
a
s
a
f
u
n
c
t
i
o
n
o
f
i
n
c
r
e
a
s
i
n
g
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
d
o
e
s
n
o
t
l
e
n
d
u
n
e
q
u
i
v
o
c
a
l
s
u
p
p
o
r
t
t
o
a
l
a
y
e
r
e
d
m
a
g
m
a
c
h
a
m
b
e
r
m
o
d
e
l
.
A
l
t
e
r
n
a
t
i
v
e
l
y
,
t
h
e
T
i
0
2
c
o
m
p
o
s
i
t
e
h
i
s
t
o
g
r
a
m
s
f
o
r
b
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
o
u
l
d
b
e
i
n
t
e
r
p
r
e
t
e
d
a
s
s
h
o
w
i
n
g
b
i
m
o
d
a
l
t
o
t
r
i
m
o
d
a
l
p
h
e
n
o
c
r
y
s
t
p
o
p
u
l
a
t
i
o
n
s
f
o
r
e
a
c
h
m
e
m
b
e
r
r
e
s
p
e
c
t
i
v
e
l
y
(
F
i
g
s
.
2
4
,
2
6
)
.
B
i
m
o
d
a
l
d
i
s
t
r
i
b
u
t
i
o
n
s
w
i
t
h
i
n
t
h
e
g
l
a
s
s
d
a
t
a
(
S
i
0
2
a
n
d
A
1
2
0
3
)
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
a
n
n
o
t
b
e
u
s
e
d
t
o
e
i
t
h
e
r
s
u
p
p
o
r
t
o
r
r
e
j
e
c
t
t
h
e
p
r
e
s
e
n
c
e
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
i
n
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
(
F
i
g
s
.
7
,
9
,
3
9
,
4
0
)
.
A
l
t
h
o
u
g
h
t
h
e
c
o
m
p
o
s
i
t
e
h
i
s
t
o
g
r
a
m
s
a
g
a
i
n
s
h
o
w
e
v
e
n
b
e
t
t
e
r
d
e
f
i
n
e
d
m
o
d
e
s
,
t
h
e
r
e
a
r
e
s
a
m
p
l
e
s
w
i
t
h
d
a
t
a
t
h
a
t
a
r
e
t
r
a
n
s
i
t
i
o
n
a
l
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
b
e
t
w
e
e
n
t
h
e
m
o
d
e
s
.
T
h
u
s
d
e
p
e
n
d
i
n
g
u
p
o
n
t
h
e
b
i
a
s
o
f
t
h
e
o
b
s
e
r
v
e
r
,
a
c
a
s
e
m
a
y
b
e
m
a
d
e
f
o
r
e
i
t
h
e
r
a
l
a
y
e
r
e
d
s
y
s
t
e
m
,
o
r
,
f
o
r
a
z
o
n
e
d
s
y
s
t
e
m
.
B
a
s
e
d
o
n
t
h
e
g
e
o
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
d
a
t
a
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
t
h
e
r
e
i
s
n
o
a
p
r
i
o
r
i
e
v
i
d
e
n
c
e
f
o
r
d
i
s
t
i
n
c
t
c
o
m
p
o
s
i
t
i
o
n
a
l
m
a
g
m
a
t
i
c
i
n
t
e
r
f
a
c
e
s
i
n
t
h
e
p
a
r
e
n
t
a
l
m
a
g
m
a
c
h
a
m
b
e
r
(
s
)
.
M
u
c
h
o
f
t
h
e
d
a
t
a
i
s
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
i
n
t
e
r
p
r
e
t
a
t
i
o
n
t
h
a
t
s
o
m
e
s
o
r
t
o
f
m
a
g
m
a
t
i
c
d
i
s
c
o
n
t
i
n
u
i
t
i
e
s
,
a
s
d
e
f
i
n
e
d
b
y
g
e
o
c
h
e
m
i
c
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
1
4
2
g
a
p
s
a
n
d
p
o
t
e
n
t
i
a
l
l
y
b
i
m
o
d
a
l
p
h
e
n
o
c
r
y
s
t
d
a
t
a
,
d
i
d
e
x
i
s
t
i
n
t
h
e
p
a
r
e
n
t
a
l
c
h
a
m
b
e
r
(
s
)
.
G
e
o
t
h
e
r
m
o
m
e
t
r
i
c
C
o
n
s
i
d
e
r
a
t
i
o
n
s
T
h
e
t
e
m
p
e
r
a
t
u
r
e
d
i
s
t
r
i
b
u
t
i
o
n
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
s
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
m
o
d
e
l
o
f
a
z
o
n
e
d
m
a
g
m
a
c
h
a
m
b
e
r
i
n
w
h
i
c
h
t
h
e
h
o
t
t
e
r
,
m
o
r
e
m
a
f
i
c
m
a
g
m
a
i
s
o
v
e
r
l
a
i
n
b
y
c
o
o
l
e
r
,
p
r
o
g
r
e
s
s
i
v
e
l
y
m
o
r
e
s
i
l
i
c
i
c
m
a
g
m
a
(
S
m
i
t
h
,
1
9
7
9
;
H
i
l
d
r
e
t
h
,
1
9
8
1
)
(
F
i
g
.
4
3
)
.
T
h
e
t
h
e
r
m
a
l
g
r
a
d
i
e
n
t
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
f
r
o
m
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
p
p
e
a
r
s
t
o
h
a
v
e
b
e
e
n
l
o
w
e
r
t
h
a
n
t
h
e
t
h
e
r
m
a
l
g
r
a
d
i
e
n
t
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
m
a
g
m
a
t
i
c
s
y
s
t
e
m
(
F
i
g
.
4
3
)
.
N
o
e
v
i
d
e
n
c
e
e
x
i
s
t
s
f
o
r
s
h
a
r
p
t
h
e
r
m
a
l
i
n
t
e
r
f
a
c
e
s
w
i
t
h
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
m
a
g
m
a
t
i
c
s
y
s
t
e
m
.
F
e
-
T
i
o
x
i
d
e
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
d
a
t
a
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
c
a
n
b
e
i
n
t
e
r
p
r
e
t
e
d
h
o
w
e
v
e
r
,
t
o
s
u
g
g
e
s
t
t
h
a
t
a
s
e
p
a
r
a
t
e
m
a
g
m
a
c
h
a
m
b
e
r
e
x
i
s
t
e
d
f
o
r
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
O
n
F
i
g
u
r
e
s
4
3
a
n
d
4
4
,
t
h
e
t
w
o
h
i
g
h
-
N
b
,
h
i
g
h
—
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
m
p
l
e
s
p
l
o
t
w
e
l
l
a
w
a
y
f
r
o
m
t
h
e
d
o
m
i
n
a
n
t
t
r
e
n
d
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
d
a
t
a
.
A
l
t
h
o
u
g
h
t
h
e
s
e
d
a
t
a
l
i
e
w
i
t
h
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
d
a
t
a
f
i
e
l
d
,
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
r
o
m
w
h
i
c
h
t
h
e
d
a
t
a
w
e
r
e
d
e
r
i
v
e
d
c
a
n
n
o
t
r
e
p
r
e
s
e
n
t
x
e
n
o
l
i
t
h
s
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
d
u
e
t
o
t
h
e
s
t
r
a
t
i
g
r
a
p
h
i
c
r
e
l
a
t
i
o
n
s
h
i
p
o
f
t
h
e
t
w
o
m
e
m
b
e
r
s
,
n
o
r
c
a
n
t
h
e
y
b
e
o
f
A
m
m
o
n
i
a
T
a
n
k
s
a
f
f
i
n
i
t
y
b
a
s
e
d
o
n
t
h
e
i
r
c
h
e
m
i
c
a
l
1
0
0
0
v
1
.
f
r
L
1
A
+
.
1
A
9
0
0
1
0
0
0
o
+
1
(
.
3
°
.
_
,
.
o
?
0
0
1
U
)
+
+
o
'
m
8
0
0
-
+
1
o
.
.
(
1
L
)
.
+
0
.
c
m
_
1
g
_
:
1
.
7
0
0
-
r
b
+
4
h
.
1
6
0
0
1
1
A
l
1
1
.
.
I
4
A
L
5
0
5
0
7
0
8
1
0
2
(
w
t
%
)
F
i
g
u
r
e
4
3
.
1
4
3
 
 
 
 
8
0
(
D
R
A
I
N
I
E
R
M
E
S
A
M
8
8
.
+
A
M
M
O
N
I
A
T
A
N
K
S
M
8
9
.
S
i
0
2
v
e
r
s
u
s
t
e
m
p
e
r
a
t
u
r
e
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
1
4
4
-
a
.
.
.
.
,
.
.
.
.
,
.
.
.
.
O
R
A
I
N
I
E
H
M
E
S
A
M
B
F
I
.
+
A
M
M
O
N
I
A
T
A
N
K
S
M
B
R
.
 
_
0
0
0
0
q
)
{
n
o
0
0
+
+
0
-
4
2
~
1
.
+
x
0
+
0
0
‘
0
)
+
+
C
)
1
+
q
.
+
‘
1
5
1
-
.
1
 
 
 
_
2
0
L
A
A
A
l
A
A
A
A
l
A
A
A
A
5
0
6
0
7
o
8
0
8
1
0
2
(
w
t
%
)
F
i
g
u
r
e
4
4
.
8
1
0
2
v
e
r
s
u
s
-
f
0
2
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
1
4
5
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
c
o
m
p
o
s
i
t
i
o
n
s
.
T
h
e
r
e
a
r
e
s
e
v
e
r
a
l
i
m
p
l
i
c
a
t
i
o
n
s
t
o
t
h
i
s
p
o
i
n
t
.
F
i
r
s
t
,
t
h
e
l
a
c
k
o
f
a
n
o
b
v
i
o
u
s
t
h
e
r
m
a
l
i
n
t
e
r
f
a
c
e
i
m
p
l
i
e
s
t
h
a
t
t
h
e
m
a
g
m
a
t
y
p
e
s
p
r
e
s
e
n
t
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
s
y
s
t
e
m
i
m
m
e
d
i
a
t
e
l
y
p
r
i
o
r
t
o
t
h
e
e
r
u
p
t
i
v
e
e
v
e
n
t
,
w
e
r
e
n
o
t
t
h
e
r
m
a
l
l
y
d
i
s
t
i
n
c
t
m
a
g
m
a
s
b
r
o
u
g
h
t
t
o
g
e
t
h
e
r
i
m
m
e
d
i
a
t
e
l
y
p
r
e
c
e
d
i
n
g
e
r
u
p
t
i
o
n
.
S
e
c
o
n
d
l
y
,
i
f
t
h
e
m
a
g
m
a
t
y
p
e
s
p
r
e
s
e
n
t
i
n
t
h
e
c
h
a
m
b
e
r
d
i
d
o
r
i
g
i
n
a
t
e
a
s
t
h
e
r
m
a
l
l
y
d
i
s
c
r
e
t
e
m
a
g
m
a
b
o
d
i
e
s
,
a
n
d
w
e
r
e
s
u
b
s
e
q
u
e
n
t
l
y
b
r
o
u
g
h
t
t
o
g
e
t
h
e
r
p
r
i
o
r
t
o
e
r
u
p
t
i
o
n
,
t
h
e
n
e
n
o
u
g
h
t
i
m
e
m
u
s
t
h
a
v
e
e
l
a
p
s
e
d
f
o
r
t
h
e
e
q
u
i
l
i
b
r
a
t
i
o
n
o
f
t
h
e
r
m
a
l
d
i
s
c
o
n
t
i
n
u
i
t
i
e
s
a
n
d
f
o
r
t
h
e
d
e
v
e
l
o
p
m
e
n
t
o
f
a
s
m
o
o
t
h
t
h
e
r
m
a
l
p
r
o
f
i
l
e
v
i
a
c
o
n
d
u
c
t
i
o
n
a
n
d
/
o
r
c
o
n
v
e
c
t
i
o
n
o
f
t
h
e
e
x
c
e
s
s
h
e
a
t
.
A
d
d
i
t
i
o
n
a
l
l
y
,
r
e
-
e
q
u
i
l
i
b
r
a
t
i
o
n
o
f
t
h
e
m
a
g
n
e
t
i
t
e
/
i
l
m
e
n
i
t
e
c
o
m
p
o
s
i
t
i
o
n
s
s
h
o
u
l
d
h
a
v
e
o
c
c
u
r
r
e
d
.
F
i
n
a
l
l
y
,
i
n
l
i
g
h
t
o
f
m
o
d
e
l
s
i
n
w
h
i
c
h
m
a
g
m
a
t
i
c
i
n
j
e
c
t
i
o
n
i
s
c
a
l
l
e
d
u
p
o
n
t
o
i
n
i
t
i
a
t
e
e
r
u
p
t
i
o
n
(
c
f
.
H
i
l
d
r
e
t
h
,
1
9
8
1
,
1
9
8
3
)
,
i
t
i
s
p
o
s
s
i
b
l
e
t
h
a
t
a
n
e
w
,
t
h
e
r
m
a
l
l
y
d
i
s
t
i
n
c
t
m
a
g
m
a
w
a
s
i
n
j
e
c
t
e
d
i
n
t
o
t
h
e
s
y
s
t
e
m
p
r
i
o
r
t
o
e
r
u
p
t
i
o
n
,
a
n
d
m
a
y
h
a
v
e
e
v
e
n
b
e
e
n
t
h
e
d
r
i
v
i
n
g
f
o
r
c
e
f
o
r
t
h
e
e
r
u
p
t
i
o
n
.
T
h
i
s
t
y
p
e
o
f
p
h
e
n
o
m
e
n
a
m
a
y
h
a
v
e
b
e
e
n
r
e
c
o
r
d
e
d
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
s
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
t
o
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
e
m
p
e
r
a
t
u
r
e
g
r
a
d
i
e
n
t
i
s
s
t
e
e
p
e
r
t
h
a
n
t
h
a
t
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
H
o
w
e
v
e
r
,
e
i
t
h
e
r
t
h
i
s
m
a
g
m
a
w
a
s
n
o
t
t
a
p
p
e
d
d
u
r
i
n
g
t
h
e
e
r
u
p
t
i
o
n
o
r
i
t
w
a
s
v
o
l
u
m
e
t
r
i
c
a
l
l
y
i
n
s
i
g
n
i
f
i
c
a
n
t
w
i
t
h
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
o
r
A
m
m
o
n
i
a
T
a
n
k
s
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
.
O
n
l
y
a
s
m
a
l
l
a
m
o
u
n
t
o
f
e
v
i
d
e
n
c
e
f
o
r
a
u
n
i
q
u
e
l
y
b
a
s
a
l
t
i
c
1
4
6
c
o
m
p
o
n
e
n
t
e
x
i
s
t
s
w
i
t
h
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
o
c
c
u
r
s
a
s
a
f
e
w
m
a
f
i
c
g
l
a
s
s
a
n
d
p
h
e
n
o
c
r
y
s
t
a
n
a
l
y
s
e
s
i
n
s
a
m
p
l
e
s
R
8
-
2
5
a
n
d
R
1
1
-
5
(
F
i
g
s
.
3
9
,
4
0
)
.
W
a
r
r
e
n
,
e
t
a
l
.
,
(
1
9
8
9
)
s
u
p
p
o
r
t
t
h
i
s
o
b
s
e
r
v
a
t
i
o
n
.
I
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
m
a
g
m
a
t
i
c
s
y
s
t
e
m
,
t
h
e
r
e
i
s
n
o
e
v
i
d
e
n
c
e
f
o
r
t
h
e
p
r
e
s
e
n
c
e
o
f
t
h
e
r
m
a
l
i
n
t
e
r
f
a
c
e
s
o
r
s
e
p
a
r
a
t
e
m
a
g
m
a
b
o
d
i
e
s
.
C
o
m
p
l
i
c
a
t
i
n
g
t
h
i
s
e
v
a
l
u
a
t
i
o
n
h
o
w
e
v
e
r
i
s
t
h
e
l
a
c
k
o
f
t
h
e
r
m
a
l
d
a
t
a
f
o
r
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
m
a
g
m
a
t
i
c
c
o
m
p
o
n
e
n
t
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
d
u
e
t
o
t
h
e
l
a
c
k
o
f
i
l
m
e
n
i
t
e
i
n
t
h
e
m
a
f
i
c
p
u
m
i
c
e
s
a
m
p
l
e
s
.
O
x
y
g
e
n
F
u
g
a
c
i
t
y
a
n
d
S
p
h
e
n
e
-
I
l
m
e
n
i
t
e
S
t
a
b
i
l
i
t
y
A
c
o
m
p
a
r
i
s
o
n
o
f
t
h
e
o
x
y
g
e
n
f
u
g
a
c
i
t
y
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
m
u
s
t
b
e
d
o
n
e
w
i
t
h
c
a
u
t
i
o
n
a
s
n
o
d
a
t
a
f
o
r
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
p
u
m
i
c
e
a
r
e
a
v
a
i
l
a
b
l
e
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
d
u
e
t
o
t
h
e
a
b
s
e
n
c
e
o
f
i
l
m
e
n
i
t
e
.
D
a
t
a
p
l
o
t
t
e
d
o
n
a
S
i
0
2
v
s
.
l
o
g
f
O
Z
d
i
a
g
r
a
m
(
F
i
g
.
4
4
)
a
r
e
i
n
d
i
c
a
t
i
v
e
o
f
a
l
o
w
e
r
o
x
y
g
e
n
f
u
g
a
c
i
t
y
f
o
r
t
h
e
r
h
y
o
l
i
t
e
t
o
t
r
a
c
h
y
d
a
c
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
s
c
o
m
p
a
r
e
d
t
o
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
r
a
c
h
y
a
n
d
e
s
i
t
e
m
a
g
m
a
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
n
t
h
e
o
t
h
e
r
h
a
n
d
,
m
a
y
h
a
v
e
h
a
d
a
h
i
g
h
e
r
o
x
y
g
e
n
f
u
g
a
c
i
t
y
t
h
a
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
L
i
p
m
a
n
(
1
9
7
1
)
,
i
n
h
i
s
w
o
r
k
o
n
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
a
s
h
-
f
l
o
w
s
h
e
e
t
s
o
f
t
h
e
S
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
,
i
n
t
e
r
p
r
e
t
e
d
t
h
e
p
r
e
s
e
n
c
e
o
f
s
p
h
e
n
e
i
n
s
a
m
p
l
e
s
o
f
t
h
e
T
i
v
a
1
4
7
C
a
n
y
o
n
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
a
n
d
t
h
e
a
b
s
e
n
c
e
o
f
s
p
h
e
n
e
i
n
s
a
m
p
l
e
s
o
f
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
M
e
m
b
e
r
a
n
d
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
a
s
d
u
e
t
o
o
x
y
g
e
n
f
u
g
a
c
i
t
y
v
a
r
i
a
t
i
o
n
s
w
i
t
h
i
n
t
h
e
r
e
s
p
e
c
t
i
v
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
(
T
o
p
o
p
a
h
S
p
r
i
n
g
M
e
m
b
e
r
a
n
d
T
i
v
a
C
a
n
y
o
n
M
e
m
b
e
r
=
P
a
i
n
t
b
r
u
s
h
T
u
f
f
)
.
H
i
s
i
n
t
e
r
p
r
e
t
a
t
i
o
n
s
w
e
r
e
b
a
s
e
d
o
n
p
r
e
v
i
o
u
s
s
t
u
d
i
e
s
o
f
t
h
e
s
p
h
e
n
e
-
i
l
m
e
n
i
t
e
p
h
a
s
e
r
e
l
a
t
i
o
n
s
h
i
p
s
b
y
V
e
r
h
o
o
g
e
n
(
1
9
6
2
)
a
n
d
W
o
n
e
s
(
1
9
6
6
)
,
a
n
d
o
n
t
h
e
s
p
h
e
n
e
-
i
l
m
e
n
i
t
e
t
h
e
r
m
o
d
y
n
a
m
i
c
c
a
l
c
u
l
a
t
i
o
n
s
o
f
C
a
r
m
i
c
h
a
e
l
a
n
d
N
i
c
h
o
l
l
s
(
1
9
6
7
)
,
a
n
d
S
m
i
t
h
(
1
9
7
0
)
.
T
h
e
s
p
h
e
n
e
-
i
l
m
e
n
i
t
e
r
e
a
c
t
i
o
n
p
r
o
p
o
s
e
d
b
y
t
h
e
a
b
o
v
e
w
o
r
k
e
r
s
i
s
:
3
C
a
T
i
S
i
0
5
+
F
8
3
0
4
=
3
F
€
T
i
0
3
+
3
C
a
S
i
O
3
+
0
.
5
0
2
w
h
e
r
e
e
x
c
e
s
s
o
x
y
g
e
n
r
e
a
c
t
s
w
i
t
h
i
l
m
e
n
i
t
e
a
n
d
p
y
r
o
x
e
n
e
t
o
f
o
r
m
s
p
h
e
n
e
a
n
d
T
i
-
p
o
o
r
m
a
g
n
e
t
i
t
e
.
M
o
r
e
r
e
c
e
n
t
l
y
,
H
a
g
g
e
r
t
y
(
1
9
7
6
)
i
n
a
r
e
v
i
e
w
o
f
o
p
a
q
u
e
m
i
n
e
r
a
l
o
x
i
d
e
s
i
n
t
e
r
r
e
s
t
r
i
a
l
i
g
n
e
o
u
s
r
o
c
k
s
,
c
i
t
i
n
g
s
t
u
d
i
e
s
b
y
C
a
r
m
i
c
h
a
e
l
a
n
d
c
o
-
w
o
r
k
e
r
s
,
s
u
m
m
a
r
i
z
e
s
t
h
e
i
r
w
o
r
k
b
y
n
o
t
i
n
g
t
h
a
t
n
o
t
o
n
l
y
i
s
t
h
e
o
x
y
g
e
n
f
u
g
a
c
i
t
y
i
m
p
o
r
t
a
n
t
f
o
r
t
h
e
p
h
a
s
e
t
r
a
n
s
i
t
i
o
n
,
b
u
t
t
h
a
t
t
h
e
s
i
l
i
c
a
a
c
t
i
v
i
t
y
m
u
s
t
a
l
s
o
b
e
t
a
k
e
n
i
n
t
o
a
c
c
o
u
n
t
(
s
e
e
r
e
f
e
r
e
n
c
e
s
o
f
H
a
g
g
e
r
t
y
,
(
1
9
7
6
)
p
g
s
.
1
6
9
-
1
7
2
)
.
H
a
g
g
e
r
t
y
(
1
9
7
6
)
s
u
m
m
a
r
i
z
e
s
t
h
e
p
r
o
b
l
e
m
b
y
s
t
a
t
i
n
g
t
h
a
t
;
1
4
8
"
.
.
.
t
h
e
d
e
m
i
s
e
o
f
i
l
m
e
n
i
t
e
a
n
d
t
h
e
d
e
p
l
e
t
i
o
n
o
f
T
i
i
n
M
t
S
S
c
a
n
b
e
r
e
l
a
t
e
d
t
o
a
S
i
0
2
a
n
d
f
0
.
I
f
a
S
i
O
Z
i
s
c
o
n
s
i
d
e
r
e
d
a
l
o
n
e
,
M
t
S
S
+
p
e
r
o
v
s
k
i
t
e
w
i
l
l
f
o
r
m
i
n
p
r
e
f
e
r
e
n
c
e
t
o
M
t
S
S
+
s
p
h
e
n
e
a
t
l
o
w
v
a
l
u
e
s
o
f
a
S
i
0
2
(
C
a
S
i
T
i
0
5
=
C
a
T
i
O
3
+
S
i
0
2
)
.
I
f
f
0
i
s
c
o
n
s
i
d
e
r
e
d
i
n
a
d
d
i
t
i
o
n
,
h
i
g
h
£
0
2
a
n
d
h
i
g
h
a
S
i
O
w
i
l
l
f
a
v
o
r
s
p
h
e
n
e
;
l
o
w
e
r
f
0
2
a
n
d
l
o
w
e
r
a
S
i
0
2
w
i
l
l
f
a
v
o
r
p
e
r
o
v
s
k
i
t
e
.
i
.
e
.
,
f
o
r
a
n
y
g
i
v
e
n
f
0
2
s
p
h
e
n
e
o
r
p
e
r
o
v
s
k
i
t
e
a
r
e
d
e
p
e
n
d
e
n
t
o
n
a
S
i
O
Z
.
"
F
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
h
o
w
e
v
e
r
,
t
h
e
d
a
t
a
a
r
e
a
n
t
i
t
h
e
t
i
c
t
o
H
a
g
g
e
r
t
y
'
s
s
u
m
m
a
r
y
.
B
a
s
e
d
u
p
o
n
t
h
e
d
a
t
a
p
r
e
s
e
n
t
e
d
i
n
F
i
g
u
r
e
4
4
,
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
h
a
s
a
h
i
g
h
e
r
o
x
y
g
e
n
f
u
g
a
c
i
t
y
t
h
a
n
t
h
a
t
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
t
a
n
y
g
i
v
e
n
c
o
m
p
o
s
i
t
i
o
n
.
T
h
e
o
r
e
t
i
c
a
l
l
y
t
h
e
n
,
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
s
h
o
u
l
d
b
e
s
p
h
e
n
e
b
e
a
r
i
n
g
,
n
o
t
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
F
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
m
a
g
m
a
t
i
c
s
y
s
t
e
m
t
h
e
n
,
t
h
e
r
e
m
u
s
t
b
e
a
d
d
i
t
i
o
n
a
l
c
o
n
t
r
o
l
l
i
n
g
f
a
c
t
o
r
s
a
t
w
o
r
k
b
e
s
i
d
e
s
o
x
y
g
e
n
f
u
g
a
c
i
t
y
a
n
d
s
i
l
i
c
a
a
c
t
i
v
i
t
y
w
h
i
c
h
c
o
n
t
r
o
l
l
e
d
t
h
e
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
o
f
s
p
h
e
n
e
a
s
o
p
p
o
s
e
d
t
o
i
l
m
e
n
i
t
e
.
I
n
c
o
n
c
l
u
s
i
o
n
,
g
e
o
t
h
e
r
m
o
m
e
t
r
i
c
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
d
a
t
a
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
d
o
e
s
n
o
t
s
u
p
p
o
r
t
a
n
i
n
t
e
r
p
r
e
t
a
t
i
o
n
f
o
r
a
l
a
y
e
r
e
d
m
a
g
m
a
t
i
c
s
y
s
t
e
m
i
n
e
i
t
h
e
r
m
e
m
b
e
r
.
T
h
e
d
a
t
a
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
r
e
c
o
n
s
i
s
t
e
n
t
h
o
w
e
v
e
r
,
w
i
t
h
a
t
l
e
a
s
t
a
t
w
o
c
h
a
m
b
e
r
m
o
d
e
l
i
n
w
h
i
c
h
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
i
s
s
e
p
a
r
a
t
e
d
f
r
o
m
t
h
e
d
o
m
i
n
a
n
t
v
o
l
u
m
e
m
a
g
m
a
b
o
d
y
.
T
h
e
d
a
t
a
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
r
e
c
o
n
s
i
s
t
e
n
t
w
i
t
h
a
s
i
n
g
l
e
m
a
g
m
a
c
h
a
m
b
e
r
m
o
d
e
l
.
1
4
9
G
e
o
b
a
r
o
m
e
t
r
y
B
a
s
e
d
o
n
t
h
e
d
i
s
t
r
i
b
u
t
i
o
n
o
f
d
a
t
a
i
n
F
i
g
u
r
e
4
2
,
i
t
c
o
u
l
d
b
e
i
n
f
e
r
r
e
d
t
h
a
t
t
h
e
m
a
g
m
a
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
s
y
s
t
e
m
r
e
s
i
d
e
d
i
n
a
m
i
d
-
c
r
u
s
t
a
l
c
h
a
m
b
e
r
a
t
a
d
e
p
t
h
b
e
t
w
e
e
n
1
3
.
2
a
n
d
2
1
k
m
(
4
.
4
a
n
d
7
k
b
a
r
s
r
e
s
p
e
c
t
i
v
e
l
y
)
.
T
h
e
a
n
o
m
a
l
o
u
s
d
a
t
a
p
o
i
n
t
s
w
h
i
c
h
o
c
c
u
r
a
t
1
.
7
,
3
.
0
,
a
n
d
8
.
9
k
b
a
r
s
m
a
y
r
e
f
l
e
c
t
e
i
t
h
e
r
p
o
o
r
l
y
c
o
n
s
t
r
a
i
n
e
d
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
,
o
r
,
p
h
e
n
o
c
r
y
s
t
s
w
h
i
c
h
e
q
u
i
l
i
b
r
a
t
e
d
u
n
d
e
r
d
i
f
f
e
r
e
n
t
g
e
o
b
a
r
o
m
e
t
r
i
c
c
o
n
d
i
t
i
o
n
s
.
T
h
e
l
a
t
t
e
r
i
n
t
e
r
p
r
e
t
a
t
i
o
n
s
e
e
m
s
u
n
l
i
k
e
l
y
h
o
w
e
v
e
r
a
n
d
i
t
i
s
i
n
f
e
r
r
e
d
h
e
r
e
t
h
a
t
t
h
e
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
a
r
e
s
u
s
p
e
c
t
.
I
t
s
h
o
u
l
d
b
e
e
m
p
h
a
s
i
z
e
d
t
h
a
t
i
n
t
e
r
p
r
e
t
a
t
i
o
n
o
f
t
h
e
d
a
t
a
i
n
F
i
g
u
r
e
4
1
b
i
s
s
p
e
c
u
l
a
t
i
v
e
a
t
b
e
s
t
i
n
l
i
g
h
t
o
f
t
h
e
s
m
a
l
l
n
u
m
b
e
r
o
f
d
a
t
a
p
o
i
n
t
s
,
e
r
r
o
r
a
s
s
o
c
i
a
t
e
d
w
i
t
h
t
h
e
p
r
e
s
s
u
r
e
e
s
t
i
m
a
t
e
s
,
a
n
d
d
i
s
c
o
r
d
a
n
c
e
b
e
t
w
e
e
n
t
h
e
f
e
l
d
s
p
a
r
a
n
d
F
e
-
T
i
o
x
i
d
e
t
e
m
p
e
r
a
t
u
r
e
c
a
l
c
u
l
a
t
i
o
n
s
.
T
h
e
c
a
l
c
u
l
a
t
e
d
p
r
e
s
s
u
r
e
s
o
f
f
o
r
m
a
t
i
o
n
b
a
s
e
d
o
n
t
h
e
h
o
r
n
b
l
e
n
d
e
/
q
u
a
r
t
z
g
e
o
b
a
r
o
m
e
t
e
r
o
f
H
a
m
m
a
r
s
t
r
o
m
a
n
d
Z
e
n
(
1
9
8
6
)
(
4
.
8
t
o
3
.
9
k
b
a
r
s
)
a
r
e
r
e
l
a
t
i
v
e
l
y
c
o
n
s
i
s
t
e
n
t
h
o
w
e
v
e
r
w
i
t
h
t
h
e
p
r
e
s
s
u
r
e
s
d
e
r
i
v
e
d
f
r
o
m
c
o
e
x
i
s
t
i
n
g
f
e
l
d
s
p
a
r
/
F
e
-
T
i
o
x
i
d
e
e
s
t
i
m
a
t
e
s
(
4
.
5
k
b
t
o
8
.
9
k
b
,
a
v
g
=
6
.
3
k
b
f
o
r
F
e
-
T
i
o
x
i
d
e
/
c
o
-
e
x
i
s
t
i
n
g
f
e
l
d
s
p
a
r
)
(
F
i
g
.
4
1
)
.
C
a
l
i
b
r
a
t
i
o
n
o
f
t
h
e
H
a
m
m
a
r
s
t
r
o
m
a
n
d
Z
e
n
(
1
9
8
6
)
h
o
r
n
b
l
e
n
d
e
g
e
o
b
a
r
o
m
e
t
e
r
b
y
H
o
l
l
i
s
t
e
r
,
e
t
a
l
.
,
(
1
9
8
7
)
a
n
d
e
x
p
e
r
i
m
e
n
t
a
l
1
5
0
s
t
u
d
i
e
s
o
n
t
h
e
F
i
s
h
C
a
n
y
o
n
T
u
f
f
b
y
J
o
h
n
s
o
n
a
n
d
R
u
t
h
e
r
f
o
r
d
(
1
9
8
9
)
i
n
d
i
c
a
t
e
a
n
a
c
c
u
r
a
c
y
o
f
+
/
-
1
.
0
k
b
a
r
.
P
E
T
R
O
G
E
N
E
S
I
S
O
v
e
r
v
i
e
w
F
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
a
n
d
m
a
g
m
a
m
i
x
i
n
g
a
r
e
u
s
e
d
i
n
t
h
e
f
o
l
l
o
w
i
n
g
s
e
c
t
i
o
n
t
o
e
v
a
l
u
a
t
e
p
o
s
s
i
b
l
e
o
r
i
g
i
n
s
o
f
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
A
l
l
o
f
t
h
e
m
a
j
o
r
a
n
d
m
o
s
t
o
f
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
(
F
i
g
s
.
7
,
8
,
9
,
1
0
)
f
o
r
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
e
x
h
i
b
i
t
a
s
y
s
t
e
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
f
r
o
m
a
p
p
r
o
x
i
m
a
t
e
l
y
5
8
w
t
%
S
i
0
2
t
o
7
8
w
t
%
S
i
0
2
w
i
t
h
s
i
g
n
i
f
i
c
a
n
t
S
i
0
2
g
a
p
s
o
c
c
u
r
r
i
n
g
b
e
t
w
e
e
n
t
h
e
t
r
a
c
h
y
d
a
c
i
t
e
a
n
d
r
h
y
o
l
i
t
e
o
f
e
a
c
h
m
e
m
b
e
r
.
T
h
e
s
p
a
n
o
f
c
o
m
p
o
s
i
t
i
o
n
s
c
o
u
l
d
b
e
t
h
e
r
e
s
u
l
t
o
f
o
n
e
o
r
m
o
r
e
p
r
o
c
e
s
s
e
s
a
c
t
i
n
g
o
n
t
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
,
f
o
r
e
x
a
m
p
l
e
;
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
o
f
p
a
r
e
n
t
a
l
t
r
a
c
h
y
a
n
d
e
s
i
t
e
,
m
i
x
i
n
g
o
f
f
e
l
s
i
c
a
n
d
m
a
f
i
c
m
a
g
m
a
s
,
a
s
s
i
m
i
l
a
t
i
o
n
o
f
c
o
u
n
t
r
y
r
o
c
k
,
a
n
d
/
o
r
d
i
f
f
e
r
e
n
t
d
e
g
r
e
e
s
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
c
r
u
s
t
a
l
r
o
c
k
.
T
e
s
t
i
n
g
o
f
t
h
e
s
e
p
r
o
c
e
s
s
e
s
h
o
w
e
v
e
r
i
s
r
e
s
t
r
i
c
t
e
d
t
o
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
,
m
a
g
m
a
m
i
x
i
n
g
,
a
n
d
p
a
r
t
i
a
l
m
e
l
t
i
n
g
d
u
e
t
o
t
h
e
a
v
a
i
l
a
b
i
l
i
t
y
o
f
n
e
c
e
s
s
a
r
y
d
a
t
a
.
W
h
o
l
e
p
u
m
i
c
e
a
n
d
p
h
e
n
o
c
r
y
s
t
a
n
a
l
y
s
e
s
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
p
e
r
m
i
t
t
e
d
i
n
v
e
s
t
i
g
a
t
i
o
n
o
f
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
a
n
d
m
a
g
m
a
m
i
x
i
n
g
m
o
d
e
l
s
.
R
i
g
o
r
o
u
s
q
u
a
n
t
i
t
a
t
i
v
e
a
s
s
i
m
i
l
a
t
i
o
n
a
n
d
1
5
1
p
a
r
t
i
a
l
m
e
l
t
i
n
g
m
o
d
e
l
s
h
o
w
e
v
e
r
c
o
u
l
d
n
o
t
b
e
t
e
s
t
e
d
d
u
e
t
o
t
h
e
l
a
c
k
o
f
g
e
o
c
h
e
m
i
c
a
l
d
a
t
a
o
n
t
h
e
c
o
m
p
o
s
i
t
i
o
n
o
f
p
o
t
e
n
t
i
a
l
c
r
u
s
t
a
l
s
o
u
r
c
e
r
o
c
k
s
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
r
e
g
i
o
n
.
G
e
o
c
h
e
m
i
c
a
l
d
a
t
a
f
r
o
m
t
h
i
s
s
t
u
d
y
a
n
d
n
e
w
N
d
i
s
o
t
o
p
i
c
d
a
t
a
f
r
o
m
T
e
g
t
m
e
y
e
r
,
e
t
a
l
.
,
(
1
9
8
9
)
a
r
e
u
s
e
d
t
o
q
u
a
l
i
t
a
t
i
v
e
l
y
e
v
a
l
u
a
t
e
t
h
e
r
o
l
e
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
a
n
d
a
s
s
i
m
i
l
a
t
i
o
n
i
n
t
h
e
o
r
i
g
i
n
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
m
a
g
m
a
t
i
c
s
y
s
t
e
m
.
F
r
a
c
t
i
o
n
a
l
C
r
y
s
t
a
l
l
i
z
a
t
i
o
n
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
M
a
j
o
r
-
e
l
e
m
e
n
t
m
u
l
t
i
p
l
e
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
m
o
d
e
l
l
i
n
g
w
a
s
u
s
e
d
t
o
d
e
t
e
r
m
i
n
e
w
h
e
t
h
e
r
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
c
o
u
l
d
p
r
o
d
u
c
e
t
h
e
o
b
s
e
r
v
e
d
c
o
m
p
o
s
i
t
i
o
n
a
l
c
h
a
n
g
e
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
e
i
t
h
e
r
t
h
e
l
o
w
-
N
b
o
r
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
e
s
t
i
n
g
o
f
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
u
s
i
n
g
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
w
a
s
a
l
s
o
p
e
r
f
o
r
m
e
d
t
o
e
i
t
h
e
r
s
u
p
p
o
r
t
o
r
r
e
j
e
c
t
t
h
e
m
a
j
o
r
e
l
e
m
e
n
t
r
e
g
r
e
s
s
i
o
n
s
.
M
a
j
o
r
-
e
l
e
m
e
n
t
m
u
l
t
i
p
l
e
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
w
a
s
d
o
n
e
i
n
a
s
t
e
p
w
i
s
e
f
a
s
h
i
o
n
w
i
t
h
e
a
c
h
m
o
d
e
l
s
p
a
n
n
i
n
g
a
r
a
n
g
e
o
f
4
t
o
7
w
t
%
S
i
O
Z
.
S
t
e
p
w
i
s
e
m
o
d
e
l
l
i
n
g
w
a
s
p
a
r
t
i
c
u
l
a
r
l
y
i
m
p
o
r
t
a
n
t
f
o
r
d
e
t
e
r
m
i
n
i
n
g
i
f
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
c
o
u
l
d
a
c
c
o
u
n
t
n
o
t
o
n
l
y
f
o
r
t
h
e
i
n
c
r
e
a
s
i
n
g
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
b
u
t
a
l
s
o
w
h
e
t
h
e
r
o
r
n
o
t
t
h
e
S
i
O
Z
g
a
p
s
o
b
s
e
r
v
e
d
i
n
t
h
e
d
a
t
a
s
e
t
1
5
2
r
e
p
r
e
s
e
n
t
e
d
c
o
m
p
o
s
i
t
i
o
n
a
l
i
n
t
e
r
f
a
c
e
s
w
i
t
h
i
n
t
h
e
m
a
g
m
a
c
h
a
m
b
e
r
.
I
f
a
l
a
y
e
r
e
d
m
a
g
m
a
t
i
c
s
y
s
t
e
m
e
x
i
s
t
e
d
i
n
t
h
e
c
h
a
m
b
e
r
,
t
h
e
n
a
r
e
a
s
o
n
a
b
l
e
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
m
o
d
e
l
w
o
u
l
d
b
e
u
n
l
i
k
e
l
y
a
s
t
h
e
m
a
g
m
a
s
a
t
t
h
e
i
n
t
e
r
f
a
c
e
s
h
o
u
l
d
n
o
t
b
e
r
e
l
a
t
e
d
b
y
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
.
I
f
t
h
e
5
1
0
2
g
a
p
s
d
o
n
o
t
p
r
e
v
e
n
t
m
o
d
e
l
l
i
n
g
o
f
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
t
h
e
n
p
e
r
h
a
p
s
s
o
m
e
o
t
h
e
r
p
r
o
c
e
s
s
s
u
c
h
a
s
s
a
m
p
l
e
b
i
a
s
,
e
r
u
p
t
i
o
n
d
y
n
a
m
i
c
s
,
o
r
m
a
g
m
a
t
i
c
f
l
u
i
d
d
y
n
a
m
i
c
s
i
s
n
e
e
d
e
d
t
o
e
x
p
l
a
i
n
t
h
e
S
i
O
Z
g
a
p
s
.
A
t
o
t
a
l
o
f
s
e
v
e
n
m
o
d
e
l
s
w
e
r
e
t
e
s
t
e
d
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
T
a
b
l
e
6
)
.
M
o
d
e
l
s
1
t
h
r
u
4
c
o
n
s
e
c
u
t
i
v
e
l
y
e
v
a
l
u
a
t
e
d
t
h
e
c
h
a
n
g
e
i
n
c
o
m
p
o
s
i
t
i
o
n
f
r
o
m
t
h
e
l
e
a
s
t
e
v
o
l
v
e
d
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
(
s
a
m
p
l
e
R
2
1
-
1
3
,
5
7
w
t
%
S
i
O
Z
)
t
o
a
l
o
w
-
N
b
r
h
y
o
l
i
t
e
a
t
7
0
w
t
%
S
i
0
2
(
s
a
m
p
l
e
R
1
8
-
2
)
.
M
o
d
e
l
s
5
t
h
r
u
7
w
e
r
e
u
s
e
d
t
o
e
v
a
l
u
a
t
e
t
h
e
f
o
r
m
a
t
i
o
n
o
f
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
s
a
m
p
l
e
R
1
1
—
7
,
7
8
w
t
%
S
i
0
2
)
f
r
o
m
t
h
e
l
o
w
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
,
a
n
d
,
f
r
o
m
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
.
T
h
e
m
a
j
o
r
-
e
l
e
m
e
n
t
r
e
g
r
e
s
s
i
o
n
m
o
d
e
l
s
w
e
r
e
p
e
r
f
o
r
m
e
d
u
s
i
n
g
t
h
e
c
o
m
p
o
s
i
t
i
o
n
s
o
f
w
h
o
l
e
—
p
u
m
i
c
e
s
a
m
p
l
e
s
a
n
d
t
h
e
i
r
c
o
r
r
e
s
p
o
n
d
i
n
g
p
h
e
n
o
c
r
y
s
t
a
s
s
e
m
b
l
a
g
e
s
.
T
h
e
s
e
d
a
t
a
a
r
e
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
7
.
T
h
e
l
e
a
s
t
e
v
o
l
v
e
d
p
u
m
i
c
e
s
a
m
p
l
e
(
s
a
m
p
l
e
R
2
1
-
1
3
)
w
a
s
u
s
e
d
a
s
t
h
e
s
t
a
r
t
i
n
g
c
o
m
p
o
s
i
t
i
o
n
a
n
d
w
a
s
r
e
g
r
e
s
s
e
d
a
g
a
i
n
s
t
a
s
l
i
g
h
t
l
y
m
o
r
e
e
v
o
l
v
e
d
p
u
m
i
c
e
s
a
m
p
l
e
u
s
i
n
g
v
a
r
i
o
u
s
c
o
m
b
i
n
a
t
i
o
n
s
o
f
m
a
j
o
r
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
p
r
e
s
e
n
t
i
n
t
h
e
p
a
r
e
n
t
a
l
p
u
m
i
c
e
f
r
a
g
m
e
n
t
(
t
r
a
c
e
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
s
u
c
h
a
s
a
l
l
a
n
i
t
e
,
a
p
a
t
i
t
e
a
n
d
c
h
e
v
k
i
n
i
t
e
1
5
3
T
A
B
L
E
6
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
:
M
a
j
o
r
-
e
l
e
m
e
n
t
M
u
l
t
i
p
l
e
L
i
n
e
a
r
R
e
g
r
e
s
s
i
o
n
M
o
d
e
l
s
 
M
b
d
e
l
1
R
2
1
-
1
3
=
-
0
.
1
8
5
+
0
.
7
5
5
R
1
1
—
5
+
0
.
0
6
4
1
P
L
G
+
0
.
1
7
3
H
R
N
+
0
.
0
1
2
M
T
+
0
.
0
8
5
6
I
L
M
R
=
1
0
0
S
S
=
0
.
0
9
M
b
d
e
l
2
R
1
1
—
5
=
-
0
.
2
0
2
+
0
.
8
0
6
R
2
3
-
2
6
+
0
.
1
0
2
P
L
G
+
0
.
0
2
7
6
B
I
O
+
0
.
0
5
8
3
C
P
X
+
0
.
1
7
0
M
T
+
0
.
0
0
7
5
9
I
L
M
R
=
1
0
0
S
S
=
0
.
1
5
M
b
d
e
l
3
R
2
3
-
2
6
=
0
.
0
0
3
9
+
0
.
5
0
4
R
2
3
-
1
3
+
0
.
2
5
9
P
L
G
+
0
.
1
7
5
K
S
P
+
0
.
0
1
9
1
3
1
0
+
0
.
0
2
8
0
C
P
X
+
0
.
0
1
5
2
M
T
+
0
.
0
0
1
3
0
I
L
M
R
2
=
1
0
0
3
5
=
0
.
0
4
M
b
d
e
l
4
R
2
3
-
1
3
=
0
.
4
8
1
+
0
.
7
7
7
R
1
8
-
2
+
0
.
0
8
6
4
P
L
G
+
0
.
0
8
5
2
K
S
P
+
0
.
0
0
5
6
C
P
X
+
0
.
1
3
0
M
T
-
0
.
0
0
7
8
I
L
M
R
=
1
0
0
S
S
=
0
.
1
5
M
b
d
e
l
5
R
2
3
-
1
3
=
0
.
0
1
6
3
+
0
.
6
3
8
R
1
8
-
1
6
+
0
.
1
6
4
P
L
G
+
0
.
1
4
7
K
S
P
+
0
.
0
4
1
8
B
I
O
+
0
.
0
7
6
9
M
T
+
0
.
0
0
0
1
I
L
M
R
=
1
0
0
S
S
=
0
.
0
0
M
o
d
e
l
6
R
2
3
-
1
3
=
0
.
1
0
7
+
0
.
7
2
6
R
1
1
-
7
+
0
.
1
8
4
P
L
G
+
0
.
0
6
3
K
S
P
+
0
.
0
2
7
B
I
O
+
0
.
0
1
M
T
R
=
1
0
0
S
S
=
0
.
0
9
M
b
d
e
l
7
R
1
8
-
1
6
.
0
5
1
+
0
.
8
6
1
R
1
1
-
7
+
0
.
0
4
5
P
L
G
+
0
.
1
1
1
Q
T
Z
0
.
0
0
2
M
T
1
1
+
0
R
2
=
1
0
0
3
3
0
.
1
0
W

u

u

g

m

u

n

o

0

0

0

S

-

0

-

0

'

"

u

0

m

0

-

0

-

9

0

u

0

0

9

m

'

0

.

-

-

0

0

9

w

r

0

o

c

:

m

m

-

o

0

.

-

-

-

o

o

o

0

o

o

-

-

-

-

-

-

-

-

-

o

o

o

o

0

.

1

3

q

u

1

a

m

’

o

m

9

p

9

9

n

s

v

9

c

5

0

t

6

w

“

o

0

r

9

r

r

1

o

-

-

-

9

0

1

'

0

o

w

'

:

o

8

0

-

m

9

0

o

o

o

0

-

-

!

o

0

-

-

:

o

0

m

1

1

9

1

:

1

0

J

a

q

m

a

w

o

0

0

9

0

o

0

'

«

n

2

9

9

0

s

9

0

0

2

'

-

0

o

'

0

0

o

o

d

-

-

-

-

0

-

-

0

0

0

.

o

0

-

0

0

3

9

3

w

J

a

o

g

0

0

u

8

0

2

r

:

1

r

9

0

0

:

2

0

0

0

?

I

.

9

o

m

0

9

9

n

{

n

s

M

L

0

n

n

n

0

m

9

5

h

(

9

6

9

6

w

)

!

o

0

0

0

0

1

1

0

!

0

0

0

!

1

o

0

0

1

o

'

'

o

'

o

‘

o

o

o

o

1

o

m

u

g

a

u

a

m

.

1

L

:

L

5

m

i

:

‘

0

o

6

m

s

9

a

w

9

L

9

1

[

5

m

$

5

p

t

9

8

0

1

O

t

o

9

1

0

r

0

a

r

0

0

r

:

6

9

9

0

9

o

r

1

:

7

1

2

9

0

s

'

'

n

u

0

9

:

'

:

“

6

o

'

7

1

s

0

0

9

o

o

0

s

0

0

o

0

0

9

0

.

s

O

!

1

0

m

.

:

!

S

u

m

a

p

o

o

m

'

o

2

s

$

l

w

n

o

0

£

6

s

5

m

1

m

L

:

6

r

0

9

L

:

9

r

5

9

r

9

0

2

1

'

e

o

;

o

'

m

'

0

x

8

o

-

-

6

0

s

0

6

-

-

1

s

-

-

-

0

9

9

!

6

u

o

y

c

z

g

9

9

9

m

0

n

9

9

2

2

:

9

n

"

9

9

L

9

9

8

1

'

m

'

‘

-

'

n

n

'

n

9

o

9

m

S

0

:

:

:

0

o

9

0

N

0

-

"

9

-

9

9

-

-

9

0

-

-

-

c

V

9

9

9

5

9

a

[

9

9

o

o

t

o

9

1

s

n

a

[

w

0

m

Z

n

(

9

I

(

6

n

9

a

9

9

5

9

o

m

“

0

a

o

9

0

s

9

e

0

r

0

6

0

'

0

“

9

I

9

.

:

z

0

"

-

-

1

-

-

-

1

s

n

'

o

0

'

"

0

0

-

-

-

"

0

0

0

:

m

)

s

"

G

1

)

r

e

n

n

!

c

o

o

0

:

o

9

0

9

£

v

a

o

:

:

9

9

u

5

w

s

z

o

[

[

9

9

9

s

p

o

9

0

s

9

9

0

9

'

0

2

0

e

9

2

o

n

9

»

9

o

9

2

0

0

a

m

'

t

5

'

n

'

n

!

m

:

o

'

'

'

0

m

0

0

0

1

1

0

:

1

1

!

n

0

)

0

:

:

:

:

!

n

!

:

s

n

s

n

o

m

s

W

5

9

w

(

p

0

"

[

:

5

£

0

w

o

u

0

c

c

u

z

2

o

3

'

'

m

r

0

6

9

9

2

2

5

6

9

9

o

'

5

O

:

r

n

a

1

n

m

:

I

d

m

)

!

:

n

.

.

2

!

9

9

5

'

5

6

9

0

o

1

:

s

E

m

:

7

I

9

0

0

o

e

m

o

9

1

9

9

0

;

1

1

u

l

o

o

a

‘

p

[

o

u

[

5

{

2

m

9

9

5

9

6

a

a

I

u

m

9

w

5

o

6

9

L

9

a

6

:

o

9

9

9

9

:

C

:

9

o

5

9

o

g

m

'

'

:

9

l

m

0

"

9

m

m

0

5

'

n

n

m

u

‘

'

'

:

t

:

9

0

C

0

0

q

!

!

1

:

"

2

:

w

n

1

1

:

m

8

5

0

:

0

!

1

o

0

a

o

g

u

‘

m

m

1

°

0

‘

a

a

r

n

W

9

o

9

9

0

9

0

9

6

:

9

6

°

d

s

c

”

s

)

.

;

:

9

9

9

9

9

9

9

.

9

1

.

5

u

0

:

0

m

m

9

s

2

0

s

:

2

1

9

-

-

-

-

-

-

-

9

s

s

1

0

o

«

0

0

o

M

m

w

1

2

m

9

a

9

9

8

p

u

n

a

!

.

0

1

!

l

z

1

l

1

|

:

z

:

:

2

z

:

:

I

2

:

s

9

6

9

9

L

I

o

9

l

z

a

5

a

5

1

o

6

a

n

L

9

6

o

9

9

3

5

5

1

3

0

m

1

a

1

1

1

"

a

.

]

n

.

-

l

m

o

'

'

a

a

x

m

x

m

u

a

x

I

m

o

'

'

u

-

m

M

o

m

m

°

o

m

a

m

l

a

a

s

a

I

M

3

z

m

m

m

m

m

a

m

m

a

n

m

a

N

n

m

m

a

m

m

m

n

e

o

x

a

o

n

d

'

‘

‘

e

2

r

s

H

s

t

m

E

9

o

m

s

s

m

s

m

m

!

i

!

-

m

u

m

s

!

l

n

s

!

w

u

1
5
4
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
‘

0

‘

L

0

0

0

0

0

z

0

0

1

3

0

0

'

'

'

'

'

0

'

0

0

0

0

0

o

0

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

0

0

0

0

'

0

-

-

-

1

0

0

0

9

0

9

9

L

9

5

1

:

0

0

L

0

:

5

1

0

9

0

L

t

1

0

0

0

1

0

0

0

'

'

a

0

'

0

'

0

0

0

'

0

0

0

0

0

0

0

0

0

0

0

0

0

0

o

-

-

0

0

0

1

-

-

-

-

0

-

-

n

‘

5

0

9

n

z

N

9

L

z

L

1

:

0

0

'

0

0

1

0

0

0

0

0

0

0

1

o

o

0

'

'

0

o

o

'

0

0

0

0

0

-

-

-

0

-

-

-

-

-

-

-

-

-

0

0

0

0

0

c

0

9

L

9

9

9

0

:

L

L

6

0

1

1

:

m

0

0

1

5

o

5

:

2

0

L

5

5

9

9

0

m

“

'

'

'

1

z

'

0

0

'

0

0

'

'

'

o

0

0

:

9

:

0

1

0

0

9

0

0

9

0

0

9

9

0

0

0

0

5

8

L

0

0

6

6

1

0

0

0

1

0

1

0

0

0

0

0

0

1

:

)

1

0

0

0

0

0

0

0

0

0

:

:

0

1

‘

9

6

1

5

9

9

6

9

1

:

0

L

9

9

6

6

6

0

0

1

1

1

z

:

z

9

0

6

9

a

o

9

1

9

9

0

:

0

0

:

z

9

1

:

:

0

1

9

0

0

1

'

:

o

1

6

1

1

9

9

L

u

0

'

0

6

0

0

'

0

0

'

'

0

m

.

9

9

:

1

:

0

:

:

0

0

5

0

:

0

0

0

0

9

0

0

0

9

:

9

0

9

0

9

0

0

0

1

0

1

:

6

6

6

9

6

9

0

6

6

9

:

:

:

9

:

1

0

:

0

9

9

9

9

u

1

1

1

9

:

L

9

u

9

9

9

0

0

9

9

:

5

5

9

1

5

'

'

'

0

'

0

'

'

m

'

'

'

0

0

m

1

1

1

1

1

1

1

6

0

5

5

:

0

0

5

6

-

-

-

-

1

1

-

-

-

5

0

5

0

9

9

0

‘

6

9

9

9

:

0

9

9

9

9

9

6

0

6

0

6

:

L

:

6

:

5

:

$

1

0

'

'

'

“

'

'

'

1

'

'

'

0

:

L

L

0

:

:

z

:

:

0

6

9

0

0

:

0

9

0

0

9

0

9

-

-

-

-

-

-

-

-

1

:

5

:

1

1

6

9

9

1

5

6

9

9

5

9

9

5

:

:

0

9

6

9

0

9

1

0

1

1

:

5

:

:

:

m

0

6

9

0

6

5

9

9

L

:

3

0

z

z

:

z

z

6

9

:

)

L

0

6

9

5

:

9

z

9

1

9

9

9

6

1

'

:

0

5

L

1

0

:

5

9

'

'

'

'

1

'

o

1

‘

'

1

9

0

:

:

)

o

0

9

0

1

0

0

0

0

0

z

0

0

0

1

0

0

0

-

-

-

-

-

-

-

1

1

z

c

5

6

9

5

L

9

0

0

9

0

9

L

m

9

:

9

9

6

6

9

9

o

0

9

9

:

:

1

1

1

m

:

:

0

0

9

:

9

0

0

'

'

o

'

'

'

'

'

'

'

0

0

0

0

6

L

9

5

9

0

9

1

6

0

0

0

1

9

9

0

L

:

6

1

0

5

0

9

1

'

1

0

0

0

0

0

0

1

1

1

1

0

0

0

0

0

0

0

0

0

0

:

1

0

9

1

1

1

1

2

1

1

1

1

8

L

0

6

9

0

9

L

9

z

:

:

:

:

:

:

:

5

1

1

:

5

1

0

0

9

0

0

9

L

9

9

9

0

0

1

1

:

1

9

1

:

6

9

5

9

:

:

9

9

:

3

'

'

:

1

5

9

s

9

5

0

0

6

:

0

z

L

1

1

1

5

.

0

0

5

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

9

t

0

1

1

1

1

1

:

:

:

:

5

0

:

1

1

9

9

z

9

'

0

0

L

9

6

1

9

:

9

5

1

L

‘

0

‘

9

9

9

L

5

9

u

o

5

L

L

5

u

:

5

o

9

1

:

a

z

1

1

9

9

9

L

6

9

6

9

0

6

0

1

1

0

:

0

0

9

9

:

9

9

6

9

9

z

:

5

9

1

9

z

5

6

:

:

:

z

:

:

1

1

0

n

9

:

0

m

5

9

5

9

9

6

m

0

0

9

:

z

'

'

n

9

'

'

'

'

'

“

1

1

z

1

0

z

0

0

0

6

1

0

:

:

1

:

!

!

1

z

z

:

z

z

1

1

1

1

1

1

1

1

1

1

1

1

!

0

9

L

5

L

L

8

u

5

5

:

a

5

9

6

8

L

a

6

9

6

9

9

9

:

1

‘

:

9

0

z

:

0

1

:

9

:

9

9

0

1

:

L

L

9

L

1

L

6

o

0

'

'

'

'

'

'

'

u

-

-

-

-

-

-

-

-

-

z

1

z

9

5

9

9

0

m

0

0

:

9

0

5

n

9

1

9

9

0

9

n

9

6

s

9

9

9

L

L

L

L

9

:

5

5

L

L

9

:

9

9

9

9

6

L

L

3

1

1

1

'

w

I

n

m

0

9

5

9

5

L

9

9

5

L

z

:

z

:

z

:

8

6

0

9

9

L

9

:

6

0

:

6

0

1

z

:

1

1

1

9

9

9

9

5

9

9

9

5

5

5

5

:

:

:

:

9

:

:

:

:

:

9

9

:

9

5

s

5

9

9

9

5

5

9

9

c

v

0

e

o

o

o

u

n

1

9

X

«

‘

'

m

M

W

9

«

1

.

1

2

a

.

'

1

1

1

m

m

1

1

1

m

o

-

-

-

0

0

0

1

9

9

'

n

1

5

1

1

1

1

5

:

5

1

1

1

I

I

1

I

1

1

m

o

o

d

3

a

m

'

'

m

m

1

0

m

m

n

n

1

n

9

2

3

3

3

.

u

1

9

9

9

1

d

d

1

1

1

)

1

1

1

1

0

1

d

0

0

1

4

1

1

M

m

8

6

8

l

n

n

l

o

o

'

‘

h

'

1

O

a

u

:

I

O

9

I

1

'

0

1

5

9

0

m

-

a

-

1

i

d

0

l

1

s

z

L

S

m

9

1

m

:

s

z

o

c

a

1

1

v

1

'

n

1

1

u

9

n

m

s

u

L

l

!

1

.

L

1
5
5
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
5
6
w
e
r
e
n
o
t
u
s
e
d
i
n
t
h
e
m
o
d
e
l
s
a
s
t
h
e
s
e
p
h
a
s
e
s
w
e
r
e
n
o
t
c
h
e
m
i
c
a
l
l
y
a
n
a
l
y
z
e
d
w
i
t
h
t
h
e
m
i
c
r
o
p
r
o
b
e
,
a
n
d
,
b
e
c
a
u
s
e
t
h
e
s
e
p
h
a
s
e
s
h
a
v
e
l
i
t
t
l
e
a
f
f
e
c
t
o
n
t
h
e
m
a
j
o
r
e
l
e
m
e
n
t
r
e
g
r
e
s
s
i
o
n
)
.
F
o
r
e
a
c
h
m
o
d
e
l
,
t
h
e
s
e
l
e
c
t
i
o
n
o
f
t
h
e
b
e
s
t
f
i
t
w
a
s
b
a
s
e
d
o
n
s
e
v
e
r
a
l
c
r
i
t
e
r
i
a
:
1
)
a
c
o
r
r
e
l
a
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
(
R
2
)
o
f
0
.
9
9
t
o
1
.
0
,
2
)
a
s
u
m
o
f
t
h
e
s
q
u
a
r
e
o
f
t
h
e
r
e
s
i
d
u
a
l
s
(
S
S
)
l
e
s
s
t
h
a
n
0
.
3
,
3
)
a
p
h
e
n
o
c
r
y
s
t
a
s
s
e
m
b
l
a
g
e
s
i
m
i
l
a
r
t
o
t
h
a
t
o
f
t
h
e
p
a
r
e
n
t
a
l
p
u
m
i
c
e
f
r
a
g
m
e
n
t
a
n
d
4
)
g
e
o
l
o
g
i
c
a
l
l
y
r
e
a
s
o
n
a
b
l
e
p
e
r
c
e
n
t
a
g
e
s
o
f
e
a
c
h
f
r
a
c
t
i
o
n
a
t
i
n
g
p
h
a
s
e
.
F
o
r
e
a
c
h
m
o
d
e
l
,
s
e
v
e
r
a
l
p
h
e
n
o
c
r
y
s
t
a
s
s
e
m
b
l
a
g
e
s
w
e
r
e
g
e
o
l
o
g
i
c
a
l
l
y
v
i
a
b
l
e
a
n
d
p
r
o
d
u
c
e
d
r
e
a
s
o
n
a
b
l
e
s
t
a
t
i
s
t
i
c
a
l
r
e
s
u
l
t
s
.
T
h
e
s
e
b
e
s
t
f
i
t
m
o
d
e
l
s
w
e
r
e
t
h
e
n
r
i
g
o
r
o
u
s
l
y
t
e
s
t
e
d
b
y
u
s
i
n
g
t
h
e
R
a
y
l
e
i
g
h
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
f
o
r
e
a
c
h
r
e
g
r
e
s
s
i
o
n
a
s
s
e
m
b
l
a
g
e
.
U
s
i
n
g
t
h
e
m
a
j
o
r
e
l
e
m
e
n
t
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
t
e
c
h
n
i
q
u
e
,
i
t
w
a
s
f
o
u
n
d
t
h
a
t
t
h
e
e
n
t
i
r
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
o
b
s
e
r
v
e
d
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
c
o
u
l
d
b
e
m
o
d
e
l
l
e
d
b
y
p
u
r
e
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
.
E
a
c
h
m
a
j
o
r
e
l
e
m
e
n
t
r
e
g
r
e
s
s
i
o
n
w
a
s
s
u
c
c
e
s
s
f
u
l
a
t
p
r
o
d
u
c
i
n
g
a
s
t
a
t
i
s
t
i
c
a
l
l
y
a
n
d
g
e
o
l
o
g
i
c
a
l
l
y
r
e
a
s
o
n
a
b
l
e
f
r
a
c
t
i
o
n
a
t
i
n
g
m
i
n
e
r
a
l
a
s
s
e
m
b
l
a
g
e
.
T
h
e
s
e
b
e
s
t
f
i
t
m
o
d
e
l
s
a
n
d
t
h
e
i
r
s
t
a
t
i
s
t
i
c
s
a
r
e
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
6
.
P
l
a
g
i
o
c
l
a
s
e
a
n
d
m
a
g
n
e
t
i
t
e
a
r
e
c
o
n
s
i
s
t
e
n
t
l
y
p
r
e
s
e
n
t
a
s
f
r
a
c
t
i
o
n
a
t
i
n
g
p
h
a
s
e
s
w
h
i
l
e
p
o
t
a
s
s
i
u
m
f
e
l
d
s
p
a
r
,
b
i
o
t
i
t
e
,
c
l
i
n
o
p
y
r
o
x
e
n
e
,
a
n
d
i
l
m
e
n
i
t
e
a
r
e
c
o
m
m
o
n
l
y
p
r
e
s
e
n
t
.
1
5
7
H
o
r
n
b
l
e
n
d
e
a
n
d
q
u
a
r
t
z
a
r
e
f
r
a
c
t
i
o
n
a
t
e
d
o
n
l
y
i
n
t
h
e
f
i
r
s
t
a
n
d
l
a
s
t
s
t
e
p
s
r
e
s
p
e
c
t
i
v
e
l
y
,
b
u
t
a
r
e
t
h
e
d
o
m
i
n
a
n
t
f
r
a
c
t
i
o
n
a
t
i
n
g
p
h
a
s
e
i
n
e
a
c
h
o
f
t
h
e
s
e
s
t
e
p
s
(
T
a
b
l
e
6
)
.
O
f
i
n
t
e
r
e
s
t
i
n
t
h
e
s
e
m
o
d
e
l
s
i
s
t
h
e
a
p
p
a
r
e
n
t
f
r
a
c
t
i
o
n
a
t
i
o
n
o
f
h
o
r
n
b
l
e
n
d
e
b
e
f
o
r
e
c
l
i
n
o
p
y
r
o
x
e
n
e
.
R
o
s
e
(
1
9
8
8
)
n
o
t
e
s
a
s
i
m
i
l
a
r
e
f
f
e
c
t
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
b
u
t
d
i
s
c
o
u
n
t
s
h
o
r
n
b
l
e
n
d
e
a
s
a
n
i
n
i
t
i
a
l
f
r
a
c
t
i
o
n
a
t
i
n
g
p
h
a
s
e
d
u
e
t
o
t
h
e
l
i
m
i
t
e
d
o
c
c
u
r
r
e
n
c
e
a
n
d
p
a
u
c
i
t
y
o
f
h
o
r
n
b
l
e
n
d
e
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
A
d
d
i
t
i
o
n
a
l
l
y
,
m
a
n
y
o
f
t
h
e
h
o
r
n
b
l
e
n
d
e
g
r
a
i
n
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
h
a
v
e
r
e
s
o
r
p
t
i
o
n
t
e
x
t
u
r
e
s
.
T
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
d
i
f
f
e
r
e
n
t
i
n
t
h
a
t
h
o
r
n
b
l
e
n
d
e
i
s
u
b
i
q
u
i
t
o
u
s
i
n
p
u
m
i
c
e
s
a
m
p
l
e
s
o
v
e
r
a
c
o
n
s
i
d
e
r
a
b
l
e
r
a
n
g
e
o
f
w
h
o
l
e
p
u
m
i
c
e
c
o
m
p
o
s
i
t
i
o
n
s
(
T
a
b
l
e
2
)
.
C
l
i
n
o
p
y
r
o
x
e
n
e
w
a
s
t
e
s
t
e
d
a
s
a
f
r
a
c
t
i
o
n
a
t
i
n
g
p
h
a
s
e
i
n
m
o
d
e
l
1
b
u
t
c
o
n
s
i
s
t
e
n
t
l
y
r
e
s
u
l
t
e
d
i
n
v
e
r
y
p
o
o
r
s
t
a
t
i
s
t
i
c
s
(
S
S
>
2
.
0
)
a
n
d
a
n
e
g
a
t
i
v
e
c
o
e
f
f
i
c
i
e
n
t
(
f
r
a
c
t
i
o
n
a
t
e
d
f
r
o
m
d
a
u
g
h
t
e
r
c
o
m
p
o
s
i
t
i
o
n
)
.
T
r
a
c
e
e
l
e
m
e
n
t
t
e
s
t
i
n
g
p
r
o
v
i
d
e
s
a
m
o
r
e
r
i
g
o
r
o
u
s
t
e
s
t
o
f
t
h
e
m
a
j
o
r
e
l
e
m
e
n
t
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
m
o
d
e
l
s
.
F
o
r
t
h
i
s
s
t
u
d
y
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
w
a
s
a
s
s
u
m
e
d
.
T
h
e
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
e
q
u
a
t
i
o
n
t
a
k
e
n
f
r
o
m
C
o
x
,
e
t
a
l
.
,
(
1
9
7
9
)
i
s
g
i
v
e
n
b
e
l
o
w
:
-
0
—
1
c
D
—
C
P
F
(
1
w
h
e
r
e
:
C
D
=
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
.
i
n
d
a
u
g
h
t
e
r
m
a
g
m
a
C
P
=
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
.
i
n
p
a
r
e
n
t
m
a
g
m
a
F
=
f
r
a
c
t
i
o
n
o
f
m
e
l
t
r
e
m
a
i
n
i
n
g
D
=
b
u
l
k
d
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
1
5
8
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
a
s
s
u
m
e
s
p
e
r
h
a
p
s
s
o
m
e
w
h
a
t
i
d
e
a
l
l
y
,
b
u
t
n
o
t
u
n
r
e
a
l
i
s
t
i
c
a
l
l
y
,
t
h
a
t
t
h
e
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
f
r
a
c
t
i
o
n
a
t
e
d
a
r
e
c
o
m
p
l
e
t
e
l
y
r
e
m
o
v
e
d
f
r
o
m
t
h
e
s
y
s
t
e
m
(
o
r
c
o
n
t
a
c
t
w
i
t
h
t
h
e
m
e
l
t
)
.
T
h
u
s
p
h
e
n
o
c
r
y
s
t
s
w
i
l
l
n
o
t
u
n
d
e
r
g
o
a
n
y
r
e
-
e
q
u
i
l
i
b
r
a
t
i
o
n
a
s
t
h
e
y
p
a
s
s
t
h
r
o
u
g
h
m
a
g
m
a
o
f
s
l
i
g
h
t
l
y
t
o
s
i
g
n
i
f
i
c
a
n
t
l
y
d
i
f
f
e
r
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
o
n
t
h
e
w
a
y
t
o
t
h
e
i
r
f
i
n
a
l
r
e
s
t
i
n
g
p
l
a
c
e
.
S
o
m
e
a
n
a
l
y
z
e
d
t
r
a
c
e
e
l
e
m
e
n
t
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
b
e
h
a
v
e
c
o
m
p
a
t
i
b
l
y
w
i
t
h
i
n
c
r
e
a
s
i
n
g
S
i
O
2
a
n
d
t
h
u
s
a
r
e
u
n
u
s
a
b
l
e
f
o
r
f
r
a
c
t
i
o
n
a
t
i
o
n
m
o
d
e
l
l
i
n
g
.
W
i
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
s
p
a
n
n
i
n
g
s
u
c
h
a
l
a
r
g
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
i
t
w
a
s
u
n
l
i
k
e
l
y
t
o
e
x
p
e
c
t
m
o
s
t
e
l
e
m
e
n
t
s
t
o
b
e
i
n
c
o
m
p
a
t
i
b
l
e
t
h
r
o
u
g
h
t
h
e
c
o
m
p
l
e
t
e
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
.
T
h
u
s
t
r
a
c
e
e
l
e
m
e
n
t
s
w
e
r
e
c
h
o
s
e
n
i
f
t
h
e
y
e
x
h
i
b
i
t
e
d
i
n
c
o
m
p
a
t
i
b
l
e
b
e
h
a
v
i
o
r
f
o
r
a
t
l
e
a
s
t
a
p
o
r
t
i
o
n
o
f
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
.
O
n
l
y
R
b
a
p
p
e
a
r
s
t
o
s
t
e
a
d
i
l
y
i
n
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
c
o
n
t
i
n
u
o
u
s
l
y
a
c
r
o
s
s
t
h
e
e
n
t
i
r
e
c
o
m
p
o
s
i
t
i
o
n
a
l
s
p
a
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
F
i
g
.
8
)
.
R
b
h
o
w
e
v
e
r
,
d
o
e
s
n
o
t
b
e
h
a
v
e
a
s
a
p
e
r
f
e
c
t
l
y
i
n
c
o
m
p
a
t
i
b
l
e
e
l
e
m
e
n
t
a
s
t
h
e
f
i
n
a
l
c
o
n
c
e
n
t
r
a
t
i
o
n
i
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
h
o
u
l
d
b
e
6
0
9
p
p
m
a
s
c
o
m
p
a
r
e
d
t
o
1
6
8
p
p
m
i
n
s
a
m
p
l
e
R
1
1
-
7
(
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
)
b
a
s
e
d
o
n
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
(
a
n
i
n
i
t
i
a
l
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
6
7
p
p
m
(
C
p
)
i
n
t
h
e
l
e
a
s
t
e
v
o
l
v
e
d
p
u
m
i
c
e
s
a
m
p
l
e
R
2
1
-
1
3
,
a
r
e
s
i
d
u
a
l
m
e
l
t
v
o
l
u
m
e
o
f
1
1
%
(
F
)
,
a
n
d
a
b
u
l
k
D
o
f
0
.
0
)
.
R
b
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
s
1
5
9
m
o
s
t
l
i
k
e
l
y
b
u
f
f
e
r
e
d
b
y
t
h
e
r
e
m
o
v
a
l
o
f
s
a
n
i
d
i
n
e
a
n
d
b
i
o
t
i
t
e
(
K
d
m
a
x
=
2
.
4
t
o
5
.
3
r
e
s
p
e
c
t
i
v
e
l
y
)
.
T
h
u
s
,
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
s
u
l
t
i
m
a
t
e
l
y
c
h
o
s
e
n
f
o
r
t
e
s
t
i
n
g
w
e
r
e
T
h
,
S
c
,
R
b
,
L
a
,
C
e
,
Y
b
a
n
d
L
u
.
I
d
e
a
l
l
y
,
d
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
s
h
o
u
l
d
b
e
a
n
a
l
y
t
i
c
a
l
l
y
d
e
t
e
r
m
i
n
e
d
f
o
r
e
a
c
h
i
n
d
i
v
i
d
u
a
l
m
a
g
m
a
t
i
c
s
y
s
t
e
m
a
s
e
l
e
m
e
n
t
a
l
d
i
s
t
r
i
b
u
t
i
o
n
i
s
d
i
r
e
c
t
l
y
c
o
n
t
r
o
l
l
e
d
b
y
t
e
m
p
e
r
a
t
u
r
e
,
p
r
e
s
s
u
r
e
,
v
o
l
a
t
i
l
e
p
a
r
t
i
a
l
p
r
e
s
s
u
r
e
,
a
n
d
c
h
e
m
i
c
a
l
c
o
n
c
e
n
t
r
a
t
i
o
n
s
(
c
f
.
G
r
e
e
n
l
a
n
d
,
1
9
7
0
;
H
a
r
t
a
n
d
A
l
l
e
g
r
e
,
1
9
8
0
)
.
F
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
p
h
e
n
o
c
r
y
s
t
a
b
u
n
d
a
n
c
e
a
n
d
s
a
m
p
l
e
p
r
e
p
a
r
a
t
i
o
n
t
i
m
e
p
r
o
v
e
d
t
o
o
r
e
s
t
r
i
c
t
i
v
e
t
o
p
e
r
m
i
t
f
o
r
i
n
d
i
v
i
d
u
a
l
K
d
a
n
a
l
y
s
e
s
.
T
h
u
s
d
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
f
o
r
t
h
i
s
s
t
u
d
y
w
e
r
e
c
o
m
p
i
l
e
d
f
r
o
m
A
r
t
h
a
n
d
H
a
n
s
o
n
(
1
9
7
5
)
,
A
r
t
h
(
1
9
7
6
)
,
H
e
n
d
e
r
s
o
n
(
1
9
8
2
)
,
M
a
h
o
o
d
a
n
d
H
i
l
d
r
e
t
h
(
1
9
8
3
)
,
H
y
n
d
m
a
n
(
1
9
8
5
)
,
N
a
s
h
a
n
d
C
r
e
c
r
a
f
t
(
1
9
8
5
)
,
B
a
c
o
n
,
e
t
a
l
.
,
(
1
9
8
7
)
,
a
n
d
S
p
e
l
l
a
n
d
K
y
l
e
(
1
9
8
9
)
.
D
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
w
e
r
e
s
e
l
e
c
t
e
d
f
r
o
m
t
h
e
s
e
s
o
u
r
c
e
s
w
i
t
h
c
o
n
s
i
d
e
r
a
t
i
o
n
g
i
v
e
n
t
o
c
h
o
o
s
i
n
g
K
d
v
a
l
u
e
s
f
o
r
a
p
p
r
o
p
r
i
a
t
e
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
a
n
d
t
o
e
n
s
u
r
e
t
h
a
t
t
h
e
m
a
x
i
m
u
m
K
d
r
a
n
g
e
o
f
a
n
e
l
e
m
e
n
t
w
a
s
n
o
t
e
d
f
o
r
a
g
i
v
e
n
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
.
F
o
r
N
b
a
n
d
Y
h
o
w
e
v
e
r
,
K
d
v
a
l
u
e
s
f
o
r
t
h
e
f
e
l
d
s
p
a
r
s
,
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
a
r
e
o
n
l
y
a
v
a
i
l
a
b
l
e
f
o
r
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
n
d
t
h
u
s
w
e
r
e
u
s
e
d
b
y
d
e
f
a
u
l
t
f
o
r
t
h
e
m
o
r
e
m
a
f
i
c
f
r
a
c
t
i
o
n
a
t
i
o
n
m
o
d
e
l
s
.
T
h
e
K
d
v
a
l
u
e
s
u
s
e
d
i
n
t
h
i
s
s
t
u
d
y
a
r
e
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
8
.
1
6
0
T
a
b
l
e
8
.
D
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
u
s
e
d
f
o
r
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
m
o
d
e
l
l
i
n
g
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
 
M
a
g
m
a
C
o
m
p
o
s
i
t
i
o
n
 
 
A
n
d
e
s
i
t
e
D
a
c
i
t
e
R
h
y
o
l
i
t
e
P
l
a
g
i
o
c
l
a
s
e
T
h
0
.
0
1
-
0
.
1
4
S
C
0
.
0
1
-
0
.
0
6
R
b
0
.
4
0
.
0
4
8
0
.
0
1
6
-
0
.
4
6
0
.
0
4
1
N
b
-
-
1
-
-
-
-
Y
0
.
2
6
0
.
0
4
-
0
.
2
9
L
a
0
.
0
2
-
0
.
3
0
.
2
4
-
0
.
4
9
C
e
0
.
0
8
5
-
0
.
2
4
0
.
2
4
0
.
1
1
-
0
.
4
0
0
.
2
7
Y
b
0
.
0
2
-
0
.
0
3
1
0
.
0
7
7
0
.
0
2
-
0
.
9
1
L
u
0
.
0
3
2
0
.
0
6
2
0
.
0
3
-
1
.
4
0
.
0
4
6
S
a
n
i
d
i
n
e
T
h
0
.
0
1
—
0
.
0
3
S
c
0
.
0
1
-
0
.
0
6
R
b
0
.
1
1
-
2
.
4
N
b
-
-
-
-
-
-
Y
—
—
—
—
-
-
L
a
0
.
0
3
7
-
0
.
1
1
C
e
0
.
0
2
-
0
.
1
0
Y
b
0
.
0
0
5
-
0
.
0
4
L
u
0
.
0
0
6
-
0
.
0
7
Q
u
a
r
t
z
T
h
0
.
0
0
6
-
0
.
0
1
0
S
c
0
.
0
1
0
-
0
.
0
1
5
R
b
0
.
0
1
2
-
0
.
0
1
6
N
b
-
-
-
-
-
-
Y
-
-
—
-
-
-
L
a
0
.
0
1
2
-
0
.
0
1
8
C
e
0
.
0
0
6
-
0
.
0
1
8
Y
b
0
.
0
1
2
-
0
.
0
2
5
L
u
0
.
0
0
2
-
0
.
0
2
4
B
i
o
t
i
t
e
T
h
0
.
2
7
-
2
.
0
S
c
4
.
9
-
2
0
.
0
R
b
3
.
2
6
2
.
2
4
-
5
.
3
2
.
2
4
N
b
4
.
0
-
9
.
5
Y
1
.
0
-
1
.
4
L
a
0
.
3
9
-
1
5
.
1
C
e
0
.
0
3
7
0
.
0
3
7
-
1
1
.
0
0
.
3
1
Y
b
0
.
4
3
0
.
1
8
-
3
.
0
0
.
1
8
L
u
0
.
1
9
0
.
1
9
-
3
.
4
0
.
3
3
 
T
D
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
c
u
r
r
e
n
t
l
y
n
o
t
a
v
a
i
l
a
b
l
e
.
1
6
1
 
 
 
T
a
b
l
e
8
.
C
o
n
t
i
n
u
e
d
.
M
a
g
m
a
C
o
m
p
o
s
i
t
i
o
n
A
n
d
e
s
i
t
e
D
a
c
i
t
e
R
h
y
o
l
i
t
e
H
o
r
n
b
l
e
n
d
e
T
h
0
.
1
8
0
.
1
3
-
0
.
2
2
S
o
1
2
2
.
1
-
2
0
R
b
0
.
0
5
-
0
.
5
0
.
3
0
.
0
0
7
7
-
0
.
0
1
4
N
b
0
.
8
1
.
3
4
.
0
Y
1
.
0
2
.
5
6
.
0
L
a
0
.
0
5
-
0
.
3
9
0
.
3
4
-
0
.
4
9
C
e
0
.
2
-
0
.
6
3
0
.
6
8
-
1
.
7
7
1
.
5
2
Y
b
0
.
2
5
-
2
.
1
4
.
8
9
1
.
3
-
8
.
3
8
7
.
4
5
-
9
L
u
0
.
4
3
-
2
.
3
4
.
5
3
1
.
4
-
6
.
3
5
.
5
C
l
i
n
o
p
y
r
o
x
e
n
e
T
h
0
.
0
1
-
6
.
5
6
S
o
1
8
1
8
-
9
6
R
b
0
.
4
0
.
0
0
3
-
0
.
5
0
.
0
3
2
N
b
0
.
3
0
.
3
-
0
.
8
0
.
8
Y
1
5
1
.
5
-
4
.
0
4
.
0
L
a
0
.
2
6
0
.
4
5
-
1
3
.
1
C
e
0
.
4
4
0
.
5
-
1
1
.
3
0
.
5
Y
b
1
.
8
1
.
5
-
1
1
.
6
1
.
5
L
u
2
.
1
2
.
0
-
1
0
.
7
1
.
5
4
O
r
t
h
o
p
y
r
o
x
e
n
e
T
h
0
.
1
1
-
0
.
1
5
S
o
4
.
5
7
.
1
-
9
.
8
R
b
0
.
0
4
5
-
0
.
0
2
-
-
0
.
0
1
-
0
.
0
4
N
b
-
-
-
-
-
-
Y
<
l
.
1
L
a
0
.
2
2
0
.
3
4
-
0
.
7
4
<
0
.
4
C
e
0
.
2
8
0
.
4
5
-
0
.
8
9
<
0
.
4
Y
b
0
.
6
4
-
0
.
7
7
0
.
9
0
-
1
.
4
L
u
0
.
7
1
1
.
0
-
1
.
5
M
a
g
n
e
t
i
t
e
T
h
0
.
0
4
-
0
.
3
2
S
o
1
.
5
-
1
5
.
6
R
b
0
.
0
7
-
0
.
7
N
b
-
-
-
-
-
-
Y
-
-
-
—
-
-
L
a
0
.
2
4
-
1
.
9
C
e
0
.
2
8
-
2
.
7
Y
b
0
.
2
0
-
2
.
2
L
u
0
.
2
0
-
1
.
5
T
a
b
l
e
8
.
I
l
m
e
n
i
t
e
T
h
S
c
R
b
N
b
Y
L
a
C
e
Y
b
L
u
A
p
a
t
i
t
e
T
h
S
c
N
b
L
a
C
e
Y
b
L
u
Z
i
r
c
o
n
T
h
S
c
N
b
L
a
C
e
Y
b
L
u
1
6
2
 
 
 
C
o
n
t
i
n
u
e
d
.
M
a
g
m
a
C
o
m
p
o
s
i
t
i
o
n
A
n
d
e
s
i
t
e
D
a
c
i
t
e
R
h
y
o
l
i
t
e
0
4
3
-
7
.
5
5
9
-
1
8
5
0
.
0
7
-
0
.
7
1
.
3
1
-
3
2
1
.
1
9
-
2
6
0
.
5
5
-
4
.
1
0
.
7
4
-
3
.
6
0
.
2
2
0
.
0
0
.
1
2
0
-
4
0
8
.
6
-
2
8
.
2
1
8
-
5
2
1
3
-
3
7
1
1
.
2
-
3
0
.
2
6
2
.
4
-
9
1
.
2
6
0
-
7
7
1
.
1
4
-
2
6
.
6
1
.
1
7
-
2
3
.
5
1
2
8
-
5
6
4
1
9
6
-
6
8
9
1
6
3
I
f
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
o
f
t
h
e
p
a
r
e
n
t
a
l
m
a
g
m
a
w
a
s
t
h
e
m
e
t
h
o
d
b
y
w
h
i
c
h
t
h
e
m
o
r
e
e
v
o
l
v
e
d
d
a
u
g
h
t
e
r
m
a
g
m
a
f
o
r
m
e
d
,
t
h
e
n
t
h
e
p
r
e
d
i
c
t
e
d
a
n
d
a
c
t
u
a
l
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
s
h
o
u
l
d
m
a
t
c
h
f
o
r
t
h
e
d
a
u
g
h
t
e
r
m
a
g
m
a
.
R
e
v
i
e
w
o
f
t
h
e
d
a
t
a
i
n
T
a
b
l
e
9
r
e
v
e
a
l
s
t
h
a
t
f
o
r
a
l
l
o
f
t
h
e
m
o
d
e
l
s
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
m
o
d
e
l
4
,
r
e
l
a
t
i
v
e
l
y
f
e
w
o
f
t
h
e
a
c
t
u
a
l
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
c
o
i
n
c
i
d
e
d
w
i
t
h
t
h
e
p
r
e
d
i
c
t
e
d
r
e
s
u
l
t
s
i
n
a
n
y
g
i
v
e
n
m
o
d
e
l
.
I
n
m
o
d
e
l
4
(
r
h
y
o
l
i
t
e
(
7
0
w
t
%
S
i
O
Z
)
t
o
f
o
r
m
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
7
5
w
t
%
S
i
0
2
)
)
t
h
r
e
e
o
f
t
h
e
f
o
u
r
i
n
c
o
m
p
a
t
i
b
l
e
t
r
a
c
e
e
l
e
m
e
n
t
s
(
T
h
,
R
b
a
n
d
L
u
)
m
a
t
c
h
w
e
l
l
,
w
h
i
l
e
Y
b
i
s
c
l
o
s
e
t
o
t
h
e
a
c
c
e
p
t
a
b
l
e
c
o
n
c
e
n
t
r
a
t
i
o
n
r
a
n
g
e
.
N
o
n
e
o
f
t
h
e
p
r
e
d
i
c
t
e
d
i
n
c
o
m
p
a
t
i
b
l
e
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
m
o
d
e
l
6
h
o
w
e
v
e
r
e
n
c
o
m
p
a
s
s
e
d
t
h
e
a
c
t
u
a
l
d
a
u
g
h
t
e
r
m
a
g
m
a
c
o
n
c
e
n
t
r
a
t
i
o
n
s
.
O
n
t
h
i
s
b
a
s
i
s
,
m
o
d
e
l
6
i
s
u
n
e
q
u
i
v
o
c
a
l
l
y
r
e
j
e
c
t
e
d
.
M
o
d
e
l
s
1
-
3
,
5
a
n
d
7
a
r
e
e
q
u
i
v
o
c
a
l
a
s
o
n
l
y
o
n
e
o
r
t
w
o
o
f
t
h
e
p
r
e
d
i
c
t
e
d
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
r
a
n
g
e
s
e
n
c
o
m
p
a
s
s
e
s
t
h
e
a
c
t
u
a
l
c
o
n
c
e
n
t
r
a
t
i
o
n
.
T
h
i
s
m
a
y
b
e
d
u
e
t
o
t
h
e
u
s
e
o
f
K
d
'
s
f
r
o
m
o
t
h
e
r
c
h
e
m
i
c
a
l
l
y
a
n
d
t
h
e
r
m
o
d
y
n
a
m
i
c
a
l
l
y
d
i
s
t
i
n
c
t
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
,
t
h
e
f
r
a
c
t
i
o
n
a
t
i
o
n
o
f
s
i
g
n
i
f
i
c
a
n
t
q
u
a
n
t
i
t
i
e
s
o
f
t
r
a
c
e
p
h
a
s
e
s
s
u
c
h
a
s
c
h
e
v
k
i
n
i
t
e
,
m
o
n
a
z
i
t
e
o
r
s
p
h
e
n
e
,
o
r
,
m
a
y
i
n
t
u
r
n
b
e
u
s
e
d
a
s
e
v
i
d
e
n
c
e
t
o
s
u
g
g
e
s
t
t
h
a
t
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
w
a
s
n
o
t
t
h
e
d
o
m
i
n
a
n
t
p
r
o
c
e
s
s
r
e
s
p
o
n
s
i
b
l
e
f
o
r
t
h
e
o
b
s
e
r
v
e
d
c
o
m
p
o
s
i
t
i
o
n
a
l
d
i
v
e
r
s
i
t
y
i
n
'
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
A
t
t
h
i
s
t
i
m
e
,
i
t
i
s
n
o
t
c
l
e
a
r
2

6

4

.

3

9

2

2

1

”

8

.

3

.

2

0

9

6

-

0

9

.

8

.

.

2

0

2

0

-

-

3

9

3

2

.

.

9

2

0

7

-

1

1

2

1

9

7

.

6

7

4

8

7

.

3

1

1

6

3

1

8

8

5

5

R

.

.

7

.

.

3

1

3

2

6

1

1

3

0

7

3

2

0

3

.

.

6

4

2

2

9

1

.

.

-

1

3

2

-

-

6

.

.

0

4

6

-

2

6

.

.

1

5

0

2

.

.

9

6

4

7

0

9

3

1

1

1

,

0

1

0

5

7

R

.

1

4

$

5

.

-

3

1

7

7

7

.

1

0

.

2

8

7

3

1

3

-

1

7

-

.

8

3

2

2

.

0

1

9

7

1

3

-

0

2

3

1

2

-

-

8

4

1

4

.

.

2

0

3

3

9

5

4

4

1

3

6

7

.

.

3

3

.

.

2

0

.

.

1

1

0

0

-

-

-

-

1

5

3

0

0

1

4

4

.

.

.

.

2

2

0

0

-

~

2

8

9

3

.

1

.

0

1

5

2

7

0

2

9

.

1

.

.

3

2

0

.

-

3

4

3

2

R

6

4

8

o

7

.

4

6

,

n

u

s

4

6

-

1

6

,

n

7

6

2

0

6

8

1

5

8

7

3

.

6

3

7

4

.

.

6

8

.

7

9

.

6

0

.

4

3

.

u

.

3

1

s

9

9

1

8

2

.

0

1

-

6

1

-

0

1

0

0

8

2

4

1

0

1

6

3

4

-

-

.

.

2

0

1

9

-

-

3

6

4

1

.

6

4

1

5

.

.

.

9

1

2

8

1

4

3

2

4

5

7

.

.

3

3

0

7

2

7

6

1

4

2

0

.

.

.

5

.

6

8

9

2

6

8

6

5

1

1

4

6

9

4

0

2

6

0

.

.

.

.

4

4

.

.

1

.

0

7

1

6

3

6

1

1

5

5

1

1

1

.

1

1

2

7

-

~

1

1

0

7

-

5

3

8

6

.

.

-

-

-

-

-

1

2

6

5

1

6

7

7

6

5

0

.

.

6

8

5

4

4

5

.

9

1

1

1

1

2

1

1

5

1

7

.

5

3

8

1

,

0

4

1

8

1

7

.

5

.

8

1

1

3

2

.

7

4

2

9

0

.

2

0

1

.

9

6

6

3

2

.

-

3

2

-

9

.

1

6

-

7

5

1

1

e

8

l

l

p

e

m

d

a

o

S

M

-

2

9

1

.

6

1

7

9

.

8

3

7

8

.

3

1

-

1

-

9

9

.

2

b

N

e

C

T
a
b
l
e
9
.
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
m
o
d
e
l
l
i
n
g
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
l
‘
l
‘
.
 
R
2
1
4
3
-
1
1
1
1
-
5
1
1
1
1
-
5
-
1
1
2
3
-
2
6
R
2
3
-
2
6
-
R
2
3
4
3
R
2
3
4
3
-
R
1
8
-
2
R
1
8
4
6
-
R
1
1
-
7
 
5
1
0
,
9
0
7
0
-
7
5
$
1
0
,
7
0
.
7
6
$
1
0
,
7
7
.
7
6
s
u
n
,
 
2
3
4
5
6
7
 
T
h
2
2
.
6
6
-
2
1
5
8
2
1
.
8
0
2
3
3
1
-
2
1
.
0
4
4
3
.
2
6
-
3
5
.
9
1
2
5
.
2
3
3
7
.
0
2
-
3
3
.
3
1
3
3
.
7
2
3
7
.
1
6
-
3
5
.
5
8
3
6
5
4
-
3
6
.
5
1
2
1
.
1
1
 
9
.
3
8
-
8
.
6
4
9
.
4
3
9
.
3
1
-
8
.
7
5
5
.
2
6
6
.
7
5
-
1
.
0
2
4
.
1
3
4
.
7
5
-
1
.
6
4
1
.
6
1
5
.
1
2
-
1
.
8
7
5
.
8
4
-
4
.
1
3
3
.
0
5
.
4
2
-
4
.
5
0
4
.
1
0
3
.
4
8
-
3
.
4
7
4
.
1
0
 
8
8
.
4
3
-
8
6
.
0
7
1
2
3
.
1
2
1
6
4
.
8
7
-
1
3
7
.
1
2
1
5
5
.
2
2
1
6
8
.
7
3
-
1
3
5
.
1
7
1
6
8
.
6
8
-
1
3
1
.
7
4
1
4
4
.
7
7
1
5
2
.
2
4
-
1
3
7
.
4
6
2
3
8
.
4
2
1
6
8
.
0
9
-
1
6
7
.
5
4
2
3
8
.
4
2
 
-
1
6
.
1
5
-
1
3
.
1
4
1
9
.
2
8
-
1
9
.
1
7
2
0
.
4
2
1
9
.
1
8
-
1
7
.
3
8
1
9
.
1
4
-
1
7
.
2
6
1
1
.
1
2
1
2
.
9
0
3
1
.
1
6
 
2
4
.
7
4
-
2
2
.
3
0
1
4
.
0
4
2
0
.
0
2
-
1
9
.
2
6
2
2
5
6
2
1
.
0
7
-
2
0
.
1
5
1
9
.
0
2
-
1
8
.
6
8
3
2
.
1
7
2
1
.
0
9
-
2
1
.
0
6
3
2
.
1
7
 
1
1
6
.
2
5
-
9
0
5
8
3
1
.
4
0
1
2
1
.
9
7
-
8
1
.
4
0
1
2
2
.
8
7
-
8
9
.
0
6
3
6
.
6
8
4
2
5
2
-
4
2
.
4
2
2
3
.
6
7
 
2
0
1
.
4
2
-
1
8
2
.
9
2
1
9
0
5
5
2
2
7
8
7
-
2
2
0
.
7
7
1
7
3
.
3
5
2
3
4
.
0
3
-
2
0
7
.
7
2
2
0
8
.
1
3
-
1
6
7
.
6
3
7
9
.
4
4
2
2
0
.
8
1
-
1
5
9
.
2
0
2
2
1
.
9
7
-
2
0
1
.
2
6
8
5
.
2
3
 
Y
b
3
.
8
3
-
3
.
7
5
L
U
3
.
9
1
-
3
.
7
9
 
 
 
0
.
5
5
-
0
.
4
9
0
.
4
8
 
0
.
5
7
-
0
.
5
6
0
.
3
9
0
.
5
8
-
0
.
5
7
 
 
 
 
 
 
 
1
6
4
1
6
5
h
o
w
s
i
g
n
i
f
i
c
a
n
t
a
r
o
l
e
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
p
l
a
y
e
d
i
n
p
r
o
d
u
c
i
n
g
t
h
e
o
b
s
e
r
v
e
d
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
.
P
r
e
l
i
m
i
n
a
r
y
d
a
t
a
f
r
o
m
p
h
e
n
o
c
r
y
s
t
g
l
a
s
s
i
n
c
l
u
s
i
o
n
s
t
u
d
i
e
s
b
y
V
o
g
e
l
(
1
9
9
1
,
u
n
p
u
b
l
i
S
h
e
d
d
a
t
a
)
i
n
d
i
c
a
t
e
t
h
a
t
t
h
e
m
e
l
t
m
a
j
o
r
e
l
e
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
s
m
a
t
c
h
a
l
m
o
s
t
e
x
a
c
t
l
y
w
i
t
h
t
h
o
s
e
o
f
t
h
e
g
l
a
s
s
c
o
m
p
o
s
i
n
g
t
h
e
i
n
c
l
u
s
i
o
n
.
T
h
i
s
m
a
y
b
e
f
u
r
t
h
e
r
e
v
i
d
e
n
c
e
t
h
a
t
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
w
a
s
n
o
t
r
e
s
p
o
n
s
i
b
l
e
f
o
r
g
e
n
e
r
a
t
i
n
g
t
h
e
w
i
d
e
r
a
n
g
e
o
f
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
o
b
s
e
r
v
e
d
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
s
y
s
t
e
m
.
A
d
d
i
t
i
o
n
a
l
e
v
i
d
e
n
c
e
a
g
a
i
n
s
t
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
c
o
m
e
s
f
r
o
m
t
h
e
r
e
c
e
n
t
w
o
r
k
b
y
T
e
g
t
m
e
y
e
r
,
e
t
a
l
.
,
(
1
9
8
9
)
.
T
h
e
s
e
w
o
r
k
e
r
s
s
u
g
g
e
s
t
t
h
a
t
N
d
i
s
o
t
o
p
e
d
a
t
a
i
n
d
i
c
a
t
e
t
h
a
t
u
p
t
o
1
0
%
c
r
u
s
t
a
l
a
s
s
i
m
i
l
a
t
i
o
n
m
a
y
h
a
v
e
o
c
c
u
r
r
e
d
t
o
m
o
d
i
f
y
t
h
e
o
b
s
e
r
v
e
d
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
.
E
x
a
m
i
n
a
t
i
o
n
o
f
t
h
e
d
a
t
a
p
l
o
t
t
e
d
o
n
t
h
e
S
p
i
d
e
r
g
r
a
m
s
i
n
F
i
g
u
r
e
1
2
b
a
n
d
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
i
n
F
i
g
u
r
e
1
3
r
e
v
e
a
l
s
t
h
e
c
o
n
s
i
s
t
e
n
t
d
e
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
i
n
t
h
e
m
o
r
e
s
i
l
i
c
i
c
m
a
g
m
a
s
o
f
a
l
l
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
s
p
l
o
t
t
e
d
e
x
c
e
p
t
f
o
r
R
b
,
T
h
,
K
a
n
d
N
b
.
T
h
e
i
n
c
r
e
a
s
e
i
n
R
b
,
T
h
,
K
a
n
d
N
b
i
s
c
o
n
s
i
s
t
e
n
t
w
i
t
h
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
a
s
t
h
e
s
e
e
l
e
m
e
n
t
s
m
a
y
b
e
h
a
v
e
i
n
c
o
m
p
a
t
i
b
l
y
w
i
t
h
i
n
c
r
e
a
s
i
n
g
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
.
T
h
e
o
t
h
e
r
t
r
a
c
e
e
l
e
m
e
n
t
s
a
r
e
m
o
r
e
c
o
m
p
a
t
i
b
l
e
w
i
t
h
t
h
e
m
o
d
a
l
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
p
r
e
s
e
n
t
i
n
t
h
e
s
y
s
t
e
m
,
t
h
u
s
t
h
e
d
e
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
h
e
s
e
e
l
e
m
e
n
t
s
m
a
y
r
e
f
l
e
c
t
t
h
e
f
o
r
m
a
t
i
o
n
a
n
d
r
e
m
o
v
a
l
o
f
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
W
i
t
h
i
n
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
g
r
o
u
p
s
(
F
i
g
s
.
4
,
5
a
)
.
1
6
6
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
F
r
a
c
t
i
o
n
a
t
i
o
n
a
n
d
m
a
g
m
a
m
i
x
i
n
g
w
e
r
e
t
e
s
t
e
d
b
y
R
o
s
e
(
1
9
8
8
)
a
s
p
o
s
s
i
b
l
e
p
r
o
c
e
s
s
e
s
b
y
w
h
i
c
h
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
o
u
l
d
b
e
f
o
r
m
e
d
.
T
h
e
f
u
n
d
a
m
e
n
t
a
l
m
e
t
h
o
d
s
a
n
d
c
o
n
c
l
u
s
i
o
n
s
d
r
a
w
n
b
y
R
o
s
e
(
1
9
8
8
)
a
r
e
s
o
u
n
d
a
n
d
d
o
n
o
t
n
e
e
d
t
o
b
e
r
e
p
e
a
t
e
d
h
e
r
e
i
n
d
e
t
a
i
l
.
T
h
u
s
a
b
r
i
e
f
s
y
n
o
p
s
i
s
o
f
R
o
s
e
'
s
(
1
9
8
8
)
d
i
s
c
u
s
s
i
o
n
a
n
d
c
o
n
c
l
u
s
i
o
n
s
a
r
e
p
r
e
s
e
n
t
e
d
b
e
l
o
w
.
D
a
t
a
u
s
e
d
b
y
R
o
s
e
(
1
9
8
8
)
a
r
e
r
e
p
r
o
d
u
c
e
d
i
n
t
h
i
s
m
a
n
u
s
c
r
i
p
t
f
o
r
c
o
m
p
l
e
t
e
n
e
s
s
.
A
s
w
i
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
p
u
r
e
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
w
a
s
t
e
s
t
e
d
a
s
a
m
o
d
e
l
f
o
r
t
h
e
o
r
i
g
i
n
o
f
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
(
5
9
w
t
%
t
o
7
8
w
t
%
S
i
O
Z
)
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
B
o
t
h
m
a
j
o
r
e
l
e
m
e
n
t
m
u
l
t
i
p
l
e
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
a
n
d
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
t
e
c
h
n
i
q
u
e
s
w
e
r
e
u
s
e
d
.
C
h
e
m
i
c
a
l
a
n
a
l
y
s
e
s
o
f
w
h
o
l
e
p
u
m
i
c
e
m
a
y
b
e
f
o
u
n
d
i
n
A
p
p
e
n
d
i
x
2
.
C
h
e
m
i
c
a
l
a
n
a
l
y
s
e
s
o
f
p
h
e
n
o
c
r
y
s
t
s
a
r
e
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
1
0
.
D
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
f
o
r
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
m
o
d
e
l
l
i
n
g
w
e
r
e
c
o
m
p
i
l
e
d
f
r
o
m
t
h
e
l
i
t
e
r
a
t
u
r
e
a
n
d
a
r
e
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
1
1
(
s
e
e
r
e
f
e
r
e
n
c
e
s
f
r
o
m
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
s
e
c
t
i
o
n
)
.
T
h
e
m
a
j
o
r
e
l
e
m
e
n
t
m
u
l
t
i
p
l
e
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
t
e
c
h
n
i
q
u
e
w
a
s
d
o
n
e
i
n
s
i
x
s
t
e
p
s
b
e
g
i
n
n
i
n
g
w
i
t
h
t
h
e
l
e
a
s
t
e
v
o
l
v
e
d
p
u
m
i
c
e
s
a
m
p
l
e
(
5
9
w
t
%
$
1
0
2
)
a
n
d
p
r
o
c
e
e
d
e
d
c
o
n
s
e
c
u
t
i
v
e
l
y
t
h
r
o
u
g
h
m
o
r
e
e
v
o
l
v
e
d
m
a
g
m
a
c
o
m
p
o
s
i
t
i
o
n
s
a
n
d
f
i
n
a
l
l
y
t
o
a
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
c
o
m
p
o
s
i
t
i
o
n
(
7
8
w
t
%
S
i
O
Z
)
.
T
h
e
r
e
s
u
l
t
i
n
g
r
e
g
r
e
s
s
i
o
n
e
q
u
a
t
i
o
n
s
w
e
r
e
1
6
7
 
 
 
T
a
b
l
e
1
0
.
M
i
n
e
r
a
l
a
n
a
l
y
s
e
s
u
s
e
d
i
n
r
e
g
r
e
s
s
i
o
n
s
f
o
r
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
m
o
d
e
l
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
F
r
o
m
R
o
s
e
(
1
9
8
8
)
.
P
l
a
g
i
o
c
l
a
s
e
S
a
m
p
l
e
A
5
-
7
5
A
5
-
6
3
A
5
-
7
2
A
5
-
7
1
A
5
-
5
8
A
5
-
3
5
S
t
e
p
1
2
3
4
5
6
M
i
n
e
r
a
l
I
D
9
2
3
8
7
7
6
1
1
5
2
7
8
1
0
2
5
5
.
1
7
5
8
.
1
5
5
8
.
8
4
5
7
.
7
7
6
1
.
2
8
6
3
.
9
5
A
1
2
0
3
2
8
.
8
6
2
6
.
2
6
2
5
.
3
3
2
6
.
5
1
2
3
.
7
0
2
2
.
5
9
F
e
O
0
.
2
0
0
.
3
2
0
.
8
4
0
.
4
0
0
.
3
8
0
.
2
6
M
g
O
0
.
0
5
0
.
0
1
0
.
0
0
0
.
0
3
0
.
0
0
0
.
0
0
C
a
O
9
.
6
5
6
.
6
7
6
.
5
7
6
.
8
4
4
.
6
8
2
.
7
7
N
a
Z
O
5
.
2
5
6
.
7
8
6
.
7
7
6
.
9
4
8
.
3
4
8
.
7
1
K
2
0
0
.
5
4
1
.
2
7
1
.
3
8
1
.
0
1
1
.
4
0
1
.
7
2
B
a
O
0
.
1
8
0
.
3
4
0
.
2
5
0
.
3
9
0
.
1
0
0
.
0
0
T
o
t
a
l
9
9
.
9
0
9
9
.
8
0
9
9
.
9
8
9
9
.
8
9
9
9
.
8
8
1
0
0
.
0
0
S
a
n
i
d
i
n
e
S
a
m
p
l
e
A
5
-
7
l
A
5
-
5
8
A
S
-
3
5
S
t
e
p
4
5
6
M
i
n
e
r
a
l
I
D
6
5
1
4
2
8
8
1
0
2
6
5
.
2
1
6
4
.
3
4
6
5
.
4
8
A
1
2
0
3
1
9
.
8
9
2
0
.
0
1
1
9
.
2
9
F
e
O
0
.
2
4
0
.
2
7
0
.
0
9
M
g
O
0
.
0
0
0
.
0
0
0
.
0
0
C
a
O
0
.
6
4
0
.
5
2
0
.
3
8
N
a
z
o
4
.
8
4
5
.
7
7
5
.
1
6
8
2
0
9
.
1
7
8
.
5
9
9
.
3
3
B
a
O
0
.
0
0
0
.
3
8
0
.
2
5
T
o
t
a
l
9
9
.
9
9
9
9
.
8
8
9
9
.
9
8
C
l
i
n
o
p
y
r
o
x
e
n
e
S
a
m
p
l
e
A
5
-
7
5
A
5
-
6
3
A
5
-
7
2
A
5
-
7
1
A
5
-
5
8
S
t
e
p
1
2
3
4
5
M
i
n
e
r
a
l
I
D
8
6
3
5
7
2
5
7
1
2
S
i
O
z
5
1
.
8
6
5
2
.
2
9
5
3
.
5
2
5
2
.
9
5
5
2
.
5
4
A
1
2
0
3
2
.
1
4
2
.
1
3
2
.
4
0
2
.
0
6
1
.
1
7
F
e
O
7
.
9
4
7
.
5
2
7
.
8
9
7
.
8
6
8
.
2
6
M
9
0
1
5
.
9
0
1
5
.
4
9
1
5
.
4
5
1
5
.
0
2
1
3
.
6
4
C
a
O
2
0
.
3
1
2
0
.
7
6
1
8
.
6
7
2
0
.
1
6
2
1
.
9
4
N
a
Z
O
0
.
6
5
0
.
5
8
0
.
5
9
0
.
6
4
0
.
7
6
K
2
0
0
.
0
0
0
.
0
1
0
.
0
0
0
.
0
0
0
.
0
0
T
1
0
2
0
.
4
7
0
.
5
8
0
.
5
2
0
.
4
8
0
.
2
8
M
n
O
0
.
6
9
0
.
5
5
0
.
9
3
0
.
8
0
1
.
3
5
P
2
0
5
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
B
a
O
0
.
0
4
0
.
0
9
0
.
0
3
0
.
0
0
0
.
0
5
T
o
t
a
l
1
0
0
.
0
0
1
0
0
.
0
0
1
0
0
.
0
0
1
0
0
.
0
0
9
9
.
9
9
1
6
8
 
T
a
b
l
e
1
0
.
C
o
n
t
i
n
u
e
d
.
M
a
g
n
e
t
i
t
e
S
a
m
p
l
e
A
5
-
7
5
A
5
-
6
3
A
5
-
7
2
A
5
-
7
1
A
5
-
5
8
A
5
-
3
5
S
t
e
p
1
2
3
4
5
6
M
i
n
e
r
a
l
I
D
9
7
4
2
8
3
6
9
3
2
2
0
C
r
2
0
3
0
.
0
4
0
.
0
0
0
.
0
3
0
.
0
9
0
.
0
3
0
.
0
2
A
1
2
0
3
3
.
6
1
2
.
8
5
2
.
4
3
1
.
4
7
1
.
0
1
0
.
8
2
M
9
0
3
.
2
5
3
.
7
6
2
.
7
7
1
.
6
6
1
.
2
7
0
.
7
3
F
e
O
8
4
.
2
0
8
0
.
5
8
8
1
.
5
5
7
9
.
5
4
8
7
.
6
5
9
0
.
1
4
T
i
0
2
8
.
0
5
1
1
.
8
1
1
1
.
7
5
1
5
.
3
5
7
.
7
5
6
.
4
6
M
n
O
0
.
8
5
1
.
0
1
1
.
4
7
1
.
9
0
2
.
2
9
1
.
8
3
T
o
t
a
l
1
0
0
.
0
0
1
0
0
.
0
1
1
0
0
.
0
0
1
0
0
.
0
1
1
0
0
.
0
0
1
0
0
.
0
0
B
i
o
t
i
t
e
S
a
m
p
l
e
A
5
-
3
5
S
t
e
p
6
M
i
n
e
r
a
l
I
D
2
5
3
1
0
2
4
0
.
5
8
A
1
2
0
3
1
3
.
6
7
F
e
O
1
5
.
0
6
M
g
O
1
6
.
5
6
C
a
O
0
.
2
8
N
a
2
0
0
.
5
8
K
2
0
8
.
0
0
T
i
0
2
4
.
5
9
M
n
O
0
.
4
3
B
a
O
0
.
2
4
T
o
t
a
l
9
9
.
9
9
1
6
9
 
 
 
T
a
b
l
e
1
1
.
D
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
u
s
e
d
f
o
r
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
m
o
d
e
l
l
i
n
g
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
F
r
o
m
R
o
s
e
(
1
9
8
8
)
.
P
l
a
g
i
o
c
l
a
s
e
S
a
n
i
d
i
n
e
C
l
i
n
o
p
y
r
o
x
e
n
e
m
a
x
m
i
n
m
a
x
m
i
n
m
a
x
m
i
n
S
c
0
.
2
0
0
.
0
1
0
.
0
5
9
0
.
0
1
1
7
2
1
8
R
b
0
.
4
6
0
.
0
1
6
2
.
4
0
.
1
1
0
.
0
9
0
.
0
3
2
S
r
3
3
1
.
4
5
2
6
3
.
6
0
.
5
1
6
B
a
3
.
3
0
.
3
2
4
1
.
0
2
.
3
0
.
1
3
1
C
e
0
.
4
0
.
1
1
0
.
0
9
5
0
.
0
2
2
1
.
6
0
.
3
6
Y
b
0
.
3
0
.
0
4
9
0
.
0
4
0
.
0
0
5
1
1
.
6
1
.
1
4
T
h
0
.
0
9
0
.
0
1
0
.
0
3
0
.
0
0
9
5
6
.
5
6
0
.
0
1
B
i
o
t
i
t
e
M
a
g
n
e
t
i
t
e
m
a
x
m
i
n
m
a
x
m
i
n
S
c
2
0
4
.
9
1
5
.
6
1
5
R
b
5
.
3
2
.
2
4
0
S
r
0
.
5
3
0
.
1
2
0
B
a
3
6
3
.
7
0
.
0
8
0
.
0
5
C
e
1
1
.
0
0
.
0
3
7
2
2
.
9
0
.
2
8
Y
b
3
0
0
.
1
7
9
2
.
2
0
.
2
T
h
2
.
0
0
.
2
7
5
.
0
4
0
.
0
4
1
7
0
g
e
o
l
o
g
i
c
a
l
l
y
r
e
a
s
o
n
a
b
l
e
a
n
d
s
t
a
t
i
s
t
i
c
a
l
l
y
s
o
u
n
d
(
R
2
>
9
9
%
,
S
S
<
0
.
1
9
)
w
h
i
c
h
s
u
p
p
o
r
t
a
n
o
r
i
g
i
n
f
o
r
t
h
e
e
v
o
l
v
e
d
m
a
g
m
a
s
b
y
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
(
T
a
b
l
e
1
2
)
.
T
e
s
t
i
n
g
o
f
t
h
e
m
a
j
o
r
e
l
e
m
e
n
t
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
m
o
d
e
l
s
b
y
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
o
f
t
r
a
c
e
e
l
e
m
e
n
t
s
a
l
s
o
p
r
o
v
i
d
e
f
a
v
o
r
a
b
l
e
r
e
s
u
l
t
s
a
n
d
a
g
a
i
n
a
r
e
c
o
n
s
i
s
t
e
n
t
w
i
t
h
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
(
T
a
b
l
e
1
3
)
.
T
h
e
p
r
e
s
e
n
c
e
o
f
d
i
s
e
q
u
i
l
i
b
r
i
u
m
p
h
e
n
o
c
r
y
s
t
s
i
n
m
a
n
y
o
f
t
h
e
p
u
m
i
c
e
s
a
m
p
l
e
s
l
e
d
R
o
s
e
(
1
9
8
8
)
t
o
e
v
a
l
u
a
t
e
t
h
e
p
o
s
s
i
b
i
l
i
t
y
o
f
c
o
m
b
i
n
e
d
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
a
n
d
m
a
g
m
a
m
i
x
i
n
g
a
s
a
p
o
s
s
i
b
l
e
o
r
i
g
i
n
f
o
r
t
h
e
m
a
g
m
a
t
i
c
s
u
i
t
e
.
T
e
s
t
i
n
g
o
f
t
h
i
s
m
o
d
e
l
b
y
m
a
j
o
r
e
l
e
m
e
n
t
m
u
l
t
i
p
l
e
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
a
g
a
i
n
p
r
o
d
u
c
e
d
g
e
o
l
o
g
i
c
a
l
l
y
a
n
d
s
t
a
t
i
s
t
i
c
a
l
l
y
r
e
a
s
o
n
a
b
l
e
r
e
s
u
l
t
s
(
R
2
=
1
0
0
%
,
S
S
<
O
.
2
5
)
(
T
a
b
l
e
1
4
)
.
B
a
s
e
d
u
p
o
n
t
h
i
s
e
v
i
d
e
n
c
e
,
R
o
s
e
(
1
9
8
8
)
c
o
n
c
l
u
d
e
d
t
h
a
t
t
h
e
e
v
o
l
v
e
d
m
a
g
m
a
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
e
r
e
d
e
r
i
v
e
d
b
y
a
c
o
m
b
i
n
a
t
i
o
n
o
f
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
a
n
d
m
i
x
i
n
g
o
f
a
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
n
d
t
r
a
c
h
y
a
n
d
e
s
i
t
e
.
T
h
u
s
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
d
o
e
s
n
o
t
a
p
p
e
a
r
t
o
b
e
t
h
e
s
o
l
e
m
e
c
h
a
n
i
s
m
f
o
r
t
h
e
g
e
n
e
r
a
t
i
o
n
o
f
t
h
e
w
i
d
e
r
a
n
g
e
o
f
c
o
m
p
o
s
i
t
i
o
n
s
o
b
s
e
r
v
e
d
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
o
r
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
T
h
e
m
o
d
e
l
l
i
n
g
d
o
e
s
a
p
p
e
a
r
t
o
b
e
c
o
n
s
i
s
t
e
n
t
h
o
w
e
v
e
r
w
i
t
h
a
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
/
a
s
s
i
m
i
l
a
t
i
o
n
o
r
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
/
m
i
x
i
n
g
c
o
m
p
o
n
e
n
t
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
1
7
1
T
a
b
l
e
1
2
.
M
a
j
o
r
e
l
e
m
e
n
t
m
u
l
t
i
p
l
e
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
m
o
d
e
l
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
F
r
o
m
R
o
s
e
(
1
9
8
8
)
.
 
S
t
e
p
1
.
P
a
r
e
n
t
=
A
5
-
7
5
(
5
9
w
t
%
$
1
0
2
)
D
a
u
g
h
t
e
r
-
A
5
-
6
3
(
6
2
w
t
%
$
1
0
2
)
A
5
-
7
5
-
0
.
0
8
6
9
+
0
.
8
4
8
A
5
-
6
3
+
0
.
0
9
2
3
P
l
a
g
+
0
.
0
3
1
6
C
p
x
+
0
.
0
1
7
5
M
t
R
2
-
1
.
0
0
s
s
-
0
.
1
5
7
6
S
t
e
p
2
.
P
a
r
e
n
t
-
A
5
—
6
3
(
6
2
w
t
%
S
i
0
2
)
D
a
u
g
h
t
e
r
-
A
5
-
7
2
(
6
4
w
t
%
S
i
0
2
)
A
5
-
6
3
=
0
.
0
8
9
0
+
0
.
8
9
6
A
5
-
7
2
+
0
.
0
6
1
4
P
l
a
g
+
0
.
0
2
1
2
C
p
x
+
0
.
0
0
9
6
M
t
R
2
-
1
.
0
0
3
3
-
0
.
1
3
2
1
S
t
e
p
3
.
P
a
r
e
n
t
-
A
5
-
7
2
(
6
4
w
t
%
S
i
O
Z
)
D
a
u
g
h
t
e
r
-
A
5
-
7
1
(
6
7
w
t
%
8
1
0
2
)
A
5
-
7
2
-
-
0
.
0
0
9
1
+
0
.
7
6
4
A
5
-
7
1
+
0
.
1
9
3
P
l
a
g
+
0
.
0
2
8
5
C
p
x
+
0
.
0
1
6
1
M
t
R
2
=
1
.
0
0
s
s
-
0
.
1
8
1
4
S
t
e
p
4
.
P
a
r
e
n
t
-
A
5
-
7
1
(
6
7
w
t
%
S
i
0
2
)
D
a
u
g
h
t
e
r
-
A
5
-
5
8
(
6
9
w
t
%
S
i
O
Z
)
A
5
-
7
1
-
0
.
0
2
2
5
+
0
.
7
1
9
A
5
-
5
8
+
0
.
2
2
K
s
p
+
0
.
0
3
9
6
P
l
a
g
+
0
.
0
0
8
8
8
C
p
x
+
0
.
0
0
8
9
6
M
t
R
2
-
1
.
0
0
8
3
-
0
.
0
7
8
6
5
S
t
e
p
5
.
P
a
r
e
n
t
-
A
5
-
5
8
(
6
9
w
t
%
$
1
0
2
)
D
a
u
g
h
t
e
r
-
A
5
-
3
5
(
7
3
w
t
%
S
i
O
z
)
A
5
-
5
8
-
0
.
0
5
4
7
+
0
.
6
7
2
A
5
-
3
5
+
0
.
2
9
4
K
s
p
+
0
.
0
1
0
9
P
l
a
g
+
0
.
0
1
8
1
C
p
x
+
0
.
0
1
4
4
M
t
R
2
-
1
.
0
0
s
s
-
0
.
0
0
4
2
9
0
S
t
e
p
6
.
P
a
r
e
n
t
-
A
5
-
3
5
(
7
3
w
t
%
S
i
0
2
)
D
a
u
g
h
t
e
r
-
A
5
-
3
(
7
8
w
t
%
S
i
0
2
)
A
5
-
3
5
-
-
0
.
0
0
6
7
+
0
.
6
9
6
A
5
-
3
+
0
.
0
5
0
3
P
l
a
g
+
0
.
2
3
1
K
s
p
+
0
.
0
1
7
6
B
i
o
+
0
.
0
0
6
0
7
M
t
R
2
-
1
.
0
0
s
s
-
0
.
0
6
2
2
6
T
a
b
l
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
1
7
2
e
1
3
.
R
a
y
l
e
i
g
h
f
r
a
c
t
i
o
n
a
t
i
o
n
t
r
a
c
e
e
l
e
m
e
n
t
m
o
d
e
l
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
F
r
o
m
R
o
s
e
(
1
9
8
8
)
.
 
 
S
t
e
p
1
2
P
a
r
e
n
t
A
5
-
7
5
A
5
—
6
3
D
a
u
g
h
t
e
r
A
5
-
6
3
A
5
—
7
2
S
c
p
r
e
d
i
c
t
e
d
0
.
0
2
-
4
.
9
0
.
1
4
-
5
.
0
o
b
s
e
r
v
e
d
6
.
9
6
.
3
R
b
p
r
e
d
i
c
t
e
d
7
5
-
7
9
8
0
-
8
2
o
b
s
e
r
v
e
d
7
5
8
0
S
r
p
r
e
d
i
c
t
e
d
3
5
-
8
1
1
8
0
—
6
1
0
o
b
s
e
r
v
e
d
6
1
5
5
2
4
B
a
p
r
e
d
i
c
t
e
d
3
6
4
1
-
5
2
8
8
3
3
7
3
-
4
2
9
8
o
b
s
e
r
v
e
d
3
9
9
0
3
5
6
0
C
e
p
r
e
d
i
c
t
e
d
7
5
-
2
4
5
1
2
0
-
2
4
7
o
b
s
e
r
v
e
d
2
2
8
2
3
8
Y
b
p
r
e
d
i
c
t
e
d
1
.
7
-
2
.
7
2
.
0
-
3
.
2
o
b
s
e
r
v
e
d
2
.
4
2
.
4
T
h
p
r
e
d
i
c
t
e
d
9
.
6
-
1
3
.
3
1
2
.
6
—
1
7
.
4
o
b
s
e
r
v
e
d
1
2
.
1
1
3
.
3
S
t
e
p
5
6
P
a
r
e
n
t
A
5
-
5
8
A
5
-
3
5
D
a
u
g
h
t
e
r
A
5
-
3
5
A
5
-
3
S
c
p
r
e
d
i
c
t
e
d
0
.
1
-
3
.
9
1
.
9
-
3
.
0
o
b
s
e
r
v
e
d
2
.
3
1
.
3
R
b
p
r
e
d
i
c
t
e
d
6
5
-
1
2
0
7
7
-
1
7
7
o
b
s
e
r
v
e
d
1
6
4
2
1
6
S
r
p
r
e
d
i
c
t
e
d
0
.
0
1
-
5
6
0
.
0
1
-
4
3
o
b
s
e
r
v
e
d
8
8
7
B
a
p
r
e
d
i
c
t
e
d
0
.
2
-
7
4
2
0
.
3
-
3
9
0
o
b
s
e
r
v
e
d
3
9
4
7
4
C
e
p
r
e
d
i
c
t
e
d
1
3
4
-
3
2
9
1
2
0
-
1
8
4
o
b
s
e
r
v
e
d
1
2
9
5
8
Y
b
p
r
e
d
i
c
t
e
d
3
.
0
-
3
.
9
3
.
5
-
3
.
9
o
b
s
e
r
v
e
d
2
.
7
2
.
9
T
h
p
r
e
d
i
c
t
e
d
2
3
.
7
-
3
0
.
2
3
2
.
0
-
3
4
.
7
o
b
s
e
r
v
e
d
2
4
.
3
3
0
.
0
T
a
b
l
e
1
4
.
1
7
3
M
a
g
m
a
m
i
x
i
n
g
m
o
d
e
l
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
F
r
o
m
R
o
s
e
(
1
9
8
8
)
.
 
A
.
M
a
g
m
a
m
i
x
i
n
g
a
n
d
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
t
o
p
r
o
d
u
c
e
r
h
y
o
l
i
t
e
.
A
5
-
3
5
-
-
0
.
0
4
4
2
+
0
.
5
3
9
A
5
-
7
1
+
0
.
5
1
3
A
5
—
3
-
0
.
0
3
7
2
K
s
p
-
0
.
0
0
7
5
4
P
l
a
g
-
0
.
0
0
2
6
6
C
p
x
R
2
=
1
.
0
0
5
3
=
0
.
0
4
6
1
6
H
y
b
r
i
d
-
A
5
—
3
5
(
7
3
w
t
%
S
i
O
z
)
M
a
g
m
a
1
:
A
5
-
7
1
(
6
7
w
t
%
$
1
0
2
)
M
a
g
m
a
2
:
A
5
-
3
(
7
8
w
t
%
S
i
O
z
)
B
.
M
i
x
i
n
g
o
f
e
n
d
-
m
e
m
b
e
r
m
a
g
m
a
c
o
m
p
o
s
i
t
i
o
n
s
t
o
p
r
o
d
u
c
e
r
h
y
o
l
i
t
e
.
A
5
-
3
5
-
0
.
0
2
2
+
0
.
5
0
1
A
5
-
7
5
+
0
.
7
0
4
A
5
~
3
-
0
.
0
5
8
4
C
p
x
-
0
.
1
3
5
P
l
a
g
-
0
.
0
1
4
M
t
R
2
-
1
.
0
0
5
3
-
0
.
2
4
6
9
H
y
b
r
i
d
-
A
5
-
3
5
(
7
3
w
t
%
$
1
0
2
)
 
M
a
g
m
a
1
:
A
5
-
7
5
(
5
9
w
t
%
S
i
0
2
)
M
a
g
m
a
2
:
A
5
-
3
(
7
8
w
t
%
S
i
O
z
)
M
i
n
e
r
a
l
C
o
m
p
o
s
i
t
i
o
n
s
f
o
r
P
a
r
t
A
.
M
i
n
e
r
a
l
C
o
m
p
o
s
i
t
i
o
n
s
f
o
r
P
a
r
t
8
2
.
P
l
a
g
i
o
c
l
a
s
e
S
a
n
i
d
i
n
e
C
l
i
n
o
p
y
r
o
x
e
n
e
C
l
i
n
o
p
y
r
o
x
e
n
e
M
a
g
n
e
t
i
t
e
S
i
0
2
6
3
.
9
5
6
5
.
4
8
5
2
.
7
5
8
1
0
2
5
2
.
5
0
C
r
2
0
3
0
.
0
2
A
1
2
0
3
2
2
.
5
9
1
9
.
2
9
0
.
8
1
A
1
2
0
3
0
.
9
3
A
1
2
0
3
0
.
8
2
F
e
O
0
.
2
6
0
.
0
9
9
.
0
1
F
e
O
7
.
7
4
M
9
0
0
.
7
1
M
g
O
0
.
0
0
0
.
0
0
1
3
.
2
3
M
g
O
1
4
.
9
6
F
e
O
9
0
.
1
4
C
a
O
2
.
7
7
0
.
3
8
2
1
.
4
3
C
a
O
2
2
.
5
2
T
1
0
2
6
.
4
6
N
a
Z
O
8
.
7
1
5
.
1
6
0
.
6
7
N
a
2
0
0
.
4
5
M
n
O
1
.
8
3
K
2
0
1
.
7
2
9
.
3
3
0
.
0
2
K
2
0
0
.
0
0
T
o
t
a
l
9
9
.
9
8
B
a
O
0
.
0
0
0
.
2
5
0
.
0
9
B
a
O
0
.
0
0
2
1
0
2
N
A
1
N
A
0
.
2
0
T
1
0
2
0
.
2
0
M
n
O
N
A
N
A
1
.
7
6
M
n
O
0
.
7
0
N
i
O
N
A
N
A
0
.
0
4
N
i
O
0
.
0
0
T
o
t
a
l
1
0
0
.
0
0
9
9
.
9
8
1
0
0
.
0
1
T
o
t
a
l
1
0
0
.
0
0
 
1
N
A
-
N
o
t
a
n
a
l
y
z
e
d
.
2
P
l
a
g
i
o
c
l
a
s
e
i
n
P
a
r
t
B
i
s
t
h
e
s
a
m
e
c
o
m
p
o
s
i
t
i
o
n
a
s
i
n
P
a
r
t
A
.
1
7
4
A
l
t
h
o
u
g
h
R
o
s
e
'
s
(
1
9
8
8
)
m
o
d
e
l
l
i
n
g
b
y
f
r
a
c
t
i
o
n
a
t
i
o
n
a
n
d
m
i
x
i
n
g
i
s
p
l
a
u
s
i
b
l
e
,
t
h
e
m
o
d
e
l
p
r
e
f
e
r
r
e
d
h
e
r
e
i
s
t
h
a
t
f
r
a
c
t
i
o
n
a
t
i
o
n
,
a
s
s
i
m
i
l
a
t
i
o
n
a
n
d
m
i
x
i
n
g
w
e
r
e
r
e
s
p
o
n
s
i
b
l
e
f
o
r
m
o
d
i
f
y
i
n
g
a
n
d
e
x
p
a
n
d
i
n
g
t
h
e
r
a
n
g
e
o
f
c
o
m
p
o
s
i
t
i
o
n
o
f
i
n
d
i
v
i
d
u
a
l
m
a
g
m
a
b
a
t
c
h
e
s
i
n
a
n
i
n
i
t
i
a
l
l
y
l
a
y
e
r
e
d
s
y
s
t
e
m
p
r
i
o
r
t
o
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
C
o
n
t
i
n
u
e
d
f
r
a
c
t
i
o
n
a
t
i
o
n
,
a
s
s
i
m
i
l
a
t
i
o
n
,
m
i
x
i
n
g
a
n
d
i
n
p
u
t
o
f
n
e
w
m
a
g
m
a
i
n
t
o
t
h
e
s
y
s
t
e
m
p
r
i
o
r
t
o
e
r
u
p
t
i
o
n
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
'
b
l
u
r
r
e
d
'
t
h
e
i
n
i
t
i
a
l
l
a
y
e
r
i
n
g
a
n
d
p
r
o
d
u
c
e
d
a
s
y
s
t
e
m
w
h
i
c
h
n
o
w
a
p
p
e
a
r
s
t
o
b
e
c
o
n
t
i
n
u
o
u
s
l
y
z
o
n
e
d
b
a
s
e
d
o
n
a
c
u
r
s
o
r
y
e
x
a
m
i
n
a
t
i
o
n
o
f
t
h
e
g
e
o
c
h
e
m
i
c
a
l
,
m
i
n
e
r
a
l
o
g
i
c
a
l
a
n
d
g
e
o
t
h
e
r
m
o
m
e
t
r
i
c
d
a
t
a
.
E
x
a
m
i
n
a
t
i
o
n
o
f
t
h
e
d
a
t
a
p
l
o
t
t
e
d
o
n
t
h
e
s
p
i
d
e
r
g
r
a
m
s
i
n
F
i
g
u
r
e
1
5
b
a
n
d
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
i
n
F
i
g
u
r
e
1
6
r
e
v
e
a
l
s
t
h
e
c
o
n
s
i
s
t
e
n
t
d
e
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
a
l
l
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
s
p
l
o
t
t
e
d
e
x
c
e
p
t
f
o
r
R
b
,
T
h
,
K
a
n
d
N
b
.
T
h
e
i
n
c
r
e
a
s
e
i
n
R
b
,
T
h
,
K
a
n
d
N
b
i
s
c
o
n
s
i
s
t
e
n
t
w
i
t
h
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
a
s
t
h
e
s
e
e
l
e
m
e
n
t
s
m
a
y
b
e
h
a
v
e
i
n
c
o
m
p
a
t
i
b
l
y
w
i
t
h
i
n
c
r
e
a
s
i
n
g
m
a
g
m
a
t
i
c
e
v
o
l
u
t
i
o
n
.
T
h
e
o
t
h
e
r
t
r
a
c
e
e
l
e
m
e
n
t
s
a
r
e
m
o
r
e
c
o
m
p
a
t
i
b
l
e
w
i
t
h
t
h
e
m
o
d
a
l
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
p
r
e
s
e
n
t
i
n
t
h
e
s
y
s
t
e
m
,
t
h
u
s
t
h
e
d
e
c
r
e
a
s
e
i
n
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
h
e
s
e
e
l
e
m
e
n
t
s
m
a
y
r
e
f
l
e
c
t
t
h
e
f
o
r
m
a
t
i
o
n
a
n
d
r
e
m
o
v
a
l
o
f
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
w
i
t
h
i
n
s
p
e
c
i
f
i
c
m
a
g
m
a
t
i
c
g
r
o
u
p
s
(
F
i
g
s
.
4
,
5
a
)
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
1
7
5
M
a
g
m
a
M
i
x
i
n
g
T
h
e
o
r
i
g
i
n
o
f
i
n
t
e
r
m
e
d
i
a
t
e
m
a
g
m
a
s
i
n
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
c
o
u
l
d
h
a
v
e
p
o
t
e
n
t
i
a
l
l
y
f
o
r
m
e
d
f
r
o
m
t
h
e
m
i
x
i
n
g
o
f
r
h
y
o
l
i
t
e
a
n
d
t
r
a
c
h
y
a
n
d
e
s
i
t
e
.
S
i
m
p
l
e
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
o
f
b
o
t
h
m
a
j
o
r
(
i
.
e
.
A
1
2
0
3
v
s
.
S
i
0
2
;
F
i
g
s
.
7
,
9
)
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
s
(
i
.
e
.
B
a
o
r
Z
r
v
s
.
S
i
0
2
;
F
i
g
s
.
8
,
1
0
;
C
e
o
r
E
u
v
s
.
S
i
O
Z
;
F
i
g
s
.
8
,
1
0
)
q
u
i
c
k
l
y
e
l
i
m
i
n
a
t
e
m
i
x
i
n
g
a
s
a
p
o
s
s
i
b
l
e
h
y
b
r
i
d
i
z
a
t
i
o
n
m
e
c
h
a
n
i
s
m
a
s
b
o
t
h
p
a
r
e
n
t
a
l
a
n
d
m
i
x
e
d
c
o
m
p
o
s
i
t
i
o
n
s
s
h
o
u
l
d
l
i
e
o
n
a
s
t
r
a
i
g
h
t
l
i
n
e
(
F
i
g
s
.
7
,
8
,
9
,
1
0
)
.
I
n
i
t
i
a
l
e
x
a
m
i
n
a
t
i
o
n
o
f
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
v
a
r
i
a
t
i
o
n
d
i
a
g
r
a
m
s
a
n
d
R
E
E
p
l
o
t
s
o
f
t
h
e
r
h
y
o
l
i
t
e
s
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
l
e
d
t
o
t
h
e
o
b
s
e
r
v
a
t
i
o
n
t
h
a
t
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
h
a
d
a
n
i
n
t
e
r
m
e
d
i
a
t
e
c
o
m
p
o
s
i
t
i
o
n
b
e
t
w
e
e
n
t
h
e
t
w
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
h
i
s
l
e
d
t
o
t
h
e
h
y
p
o
t
h
e
s
i
s
t
h
a
t
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
w
a
s
a
p
r
o
d
u
c
t
o
f
m
i
x
i
n
g
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
i
c
m
a
g
m
a
s
d
u
r
i
n
g
o
r
a
f
t
e
r
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
e
s
t
i
n
g
o
f
t
h
i
s
h
y
p
o
t
h
e
s
i
s
u
s
i
n
g
a
v
a
r
i
a
t
i
o
n
p
l
o
t
o
f
t
h
e
t
w
o
i
n
c
o
m
p
a
t
i
b
l
e
e
l
e
m
e
n
t
s
N
b
a
n
d
R
b
r
e
v
e
a
l
s
t
h
a
t
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
h
a
s
a
h
i
g
h
e
r
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
N
b
a
t
s
i
m
i
l
a
r
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
R
b
t
h
a
n
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
F
i
g
.
4
5
)
.
T
h
u
s
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
o
u
l
d
n
o
t
D

(

+

R
A

A
M

I
M

N
O

I
N

E
I

R
A

M
T

E

A

S

N

A

K

S

n

a

"

n

B

.

R

.

5

4

2

0

0

0

-

1

0

-

-

b

w

g
D

.

V

g

.

I

+

Q

0

0

+

i

+

+

0

o

+

0

+

0

+

0

)

+

0

%

o

1

+

*

3

«

%

E

B

)

%

0

0

0

+

®

0

5

0

1

0

0

1

l

5

1

0

R

b

+

£

+

o

u

l

2

0

(

0

p

+

p

u

&

6

+

0

+

4

.

+

+

5

o

o

l

5

2

m

)

0

0

0

o

8

0

.

l

J

-

‘

_

3

0

0

3

5

0

1
7
6
 
 
 
 
F
i
g
u
r
e
4
5
.
R
b
v
e
r
s
u
s
N
b
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
1
7
7
h
a
v
e
o
r
i
g
i
n
a
t
e
d
b
y
m
a
g
m
a
m
i
x
i
n
g
o
f
t
h
e
t
w
o
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
s
c
o
n
c
e
n
t
r
a
t
i
o
n
s
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
h
o
u
l
d
l
i
e
i
n
t
e
r
m
e
d
i
a
t
e
t
o
t
h
e
e
n
d
m
e
m
b
e
r
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
c
o
n
c
e
n
t
r
a
t
i
o
n
s
.
H
o
w
e
v
e
r
,
T
h
a
n
d
Y
b
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
e
e
m
t
o
r
e
v
e
a
l
t
h
e
p
r
e
s
e
n
c
e
o
f
t
w
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
.
E
x
a
m
i
n
a
t
i
o
n
o
f
t
h
e
S
p
i
d
e
r
g
r
a
m
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
r
h
y
o
l
i
t
e
r
e
v
e
a
l
s
t
h
a
t
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
r
h
y
o
l
i
t
e
i
s
m
o
r
e
s
i
m
i
l
a
r
i
n
t
r
a
c
e
e
l
e
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
t
o
t
h
e
h
i
g
h
-
N
b
,
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
t
h
a
n
t
h
e
l
o
w
-
N
b
,
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
F
i
g
s
.
1
2
,
1
5
)
.
A
n
o
v
e
r
l
a
y
o
f
t
h
e
t
w
o
S
p
i
d
e
r
g
r
a
m
s
(
A
m
m
o
n
i
a
T
a
n
k
s
r
h
y
o
l
i
t
e
a
n
d
h
i
g
h
—
N
b
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
r
h
y
o
l
i
t
e
)
s
h
o
w
s
a
s
t
r
i
k
i
n
g
s
i
m
i
l
a
r
i
t
y
i
n
n
o
r
m
a
l
i
z
e
d
e
l
e
m
e
n
t
a
b
u
n
d
a
n
c
e
s
(
F
i
g
.
4
6
)
.
E
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
s
w
h
i
c
h
c
o
m
p
a
r
e
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
b
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
(
h
i
g
h
-
N
b
a
n
d
l
o
w
-
N
b
)
t
o
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
d
o
n
o
t
u
n
e
q
u
i
v
o
c
a
l
l
y
r
e
l
a
t
e
a
n
y
o
f
t
h
e
r
h
y
o
l
i
t
e
s
t
o
o
n
e
a
n
o
t
h
e
r
(
F
i
g
s
.
1
6
,
1
7
)
.
B
a
s
e
d
o
n
t
h
e
S
p
i
d
e
r
g
r
a
m
s
h
o
w
e
v
e
r
,
i
t
i
s
i
n
t
e
r
p
r
e
t
e
d
h
e
r
e
t
h
a
t
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
m
a
y
r
e
p
r
e
s
e
n
t
m
o
d
i
f
i
e
d
,
r
e
s
i
d
u
a
l
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
M
o
d
i
f
i
c
a
t
i
o
n
o
f
t
h
e
r
e
s
i
d
u
a
l
r
h
y
o
l
i
t
e
m
a
y
h
a
v
e
o
c
c
u
r
r
e
d
t
h
r
o
u
g
h
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
o
f
t
h
e
e
x
i
s
t
i
n
g
_

—

—

L

8

8

I

b

R

H

L

i

o

I

h

h

—

T

g

w

K

I

b

.

—

N

N

b

N

.

I

b

H

I

h

i

i

g

g

h

h

I

a

8

L

-

’

I

8

0

A

S

1

i

0

D

2

S

2

r

R

I

R

h

h

y

y

o

o

l

I

P

l

i

i

t

e

.

I

e

.

S

t

e

I

r

I

f

a

i

H

R

a

R

T

n

i

i

n

I

i

i

e

I

b

T

r

e

r

I

a

I

e

s

Y

M

e

M

s

a

I
b

Y

.

M

b

b

r

r

.

M

1
7
8
R
A
I
N
I
E
R
M
E
S
A
a
n
d
A
M
M
O
N
I
A
T
A
N
K
S
M
B
R
S
.
R
h
y
o
l
i
t
e
t
o
H
i
g
h
-
8
1
0
a
R
h
y
o
l
i
t
e
 
 
 
1
0
0
0
I
I
I
I
I
I
I
I
I
I
r
*
I
I
I
I
I
t
1
0
0
U
)
C
)
3
1
0
L
U
C
o
C
2
-
¥
1
U
o
I
:
 
 
 
 
 
 
 
 
 
 
I
I
I
-
-
H
i
g
h
5
1
0
2
R
h
y
o
l
i
t
e
.
A
m
m
o
n
i
a
T
a
n
k
s
M
b
r
.
F
i
g
u
r
e
4
6
.
O
v
e
r
l
a
y
o
f
t
h
e
S
p
i
d
e
r
g
r
a
m
s
f
o
r
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
(
l
o
w
-
N
b
a
n
d
h
i
g
h
-
N
b
)
a
n
d
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
0
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
1
7
9
r
h
y
o
l
i
t
e
,
i
n
p
u
t
o
f
n
e
w
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
f
r
o
m
a
p
a
r
e
n
t
c
h
a
m
b
e
r
d
e
e
p
e
r
w
i
t
h
i
n
t
h
e
c
r
u
s
t
o
r
c
o
n
t
i
n
u
e
d
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
u
p
p
e
r
c
r
u
s
t
a
l
c
o
u
n
t
r
y
r
o
c
k
.
T
h
e
s
h
o
r
t
t
i
m
e
i
n
t
e
r
v
a
l
b
e
t
w
e
e
n
t
h
e
e
r
u
p
t
i
o
n
o
f
t
h
e
t
w
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
(
l
e
s
s
t
h
a
n
1
0
0
,
0
0
0
y
e
a
r
s
;
S
a
w
y
e
r
,
1
9
9
0
,
p
e
r
s
.
c
o
m
m
.
)
i
s
s
u
p
p
o
r
t
i
v
e
a
n
d
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
h
y
p
o
t
h
e
s
i
s
o
f
a
s
i
g
n
i
f
i
c
a
n
t
r
e
s
i
d
u
a
l
c
o
m
p
o
n
e
n
t
b
e
i
n
g
p
r
e
s
e
n
t
a
f
t
e
r
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
S
u
c
h
a
s
h
o
r
t
t
i
m
e
s
p
a
n
b
e
t
w
e
e
n
e
r
u
p
t
i
v
e
e
v
e
n
t
s
w
o
u
l
d
m
o
s
t
l
i
k
e
l
y
n
o
t
a
l
l
o
w
f
o
r
t
h
e
g
e
n
e
r
a
t
i
o
n
o
f
l
a
r
g
e
v
o
l
u
m
e
s
o
f
r
h
y
o
l
i
t
i
c
m
a
g
m
a
t
h
r
o
u
g
h
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
o
r
a
s
s
i
m
i
l
a
t
i
o
n
.
P
a
r
t
i
a
l
M
e
l
t
i
n
g
/
A
s
s
i
m
i
l
a
t
i
o
n
T
r
a
c
h
y
a
n
d
e
s
i
t
e
a
n
d
T
r
a
c
h
y
d
a
c
i
t
e
T
h
e
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
p
r
e
s
e
n
t
e
d
i
n
F
i
g
u
r
e
4
7
c
o
m
p
a
r
e
s
t
h
e
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
r
a
c
e
e
l
e
m
e
n
t
s
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
w
i
t
h
t
h
e
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
r
a
c
e
e
l
e
m
e
n
t
s
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
A
n
a
l
y
s
i
s
o
f
t
h
e
d
a
t
a
r
e
v
e
a
l
s
t
h
a
t
t
h
e
r
e
a
r
e
n
e
g
l
i
g
i
b
l
e
t
o
s
i
g
n
i
f
i
c
a
n
t
d
i
f
f
e
r
e
n
c
e
s
i
n
t
h
e
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
t
r
a
c
e
e
l
e
m
e
n
t
s
i
n
t
h
e
t
w
o
m
e
m
b
e
r
s
.
I
n
t
e
r
p
r
e
t
a
t
i
o
n
o
f
t
h
e
e
n
r
i
c
h
m
e
n
t
d
a
t
a
f
o
r
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
o
f
e
a
c
h
m
e
m
b
e
r
a
r
e
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
i
n
t
e
r
p
r
e
t
a
t
i
o
n
t
h
a
t
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
w
e
r
e
g
e
n
e
r
a
t
e
d
b
y
d
i
f
f
e
r
e
n
t
d
e
g
r
e
e
s
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
a
l
i
t
h
o
l
o
g
i
c
a
l
l
y
1
8
0
 
 
 
 
 
 
R
M
T
r
a
c
h
y
a
n
d
/
A
T
T
r
a
c
h
y
a
n
d
1
0
E
I
1
l
l
l
l
I
l
l
I
l
l
I
l
I
l
E
3
U
3
.
'
I
T
.
.
m
m
R
<
\
9
/
9
/
8
\
:
0
1
4
(
'
1
I
V
!
_
_
—
.
m
a
U
:
E
(
D
_
'
1
r
4
'
1
D
.
E
;
"
1
I
n
:
.
0
'
)
~
4
,
.
'
i
o
0
0
1
l
l
l
l
I
l
l
l
l
l
I
l
l
l
l
l
B
a
R
b
T
h
K
N
b
L
a
C
e
S
r
P
S
I
I
Z
e
r
T
i
n
Y
Y
b
F
i
g
u
r
e
4
7
.
E
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
c
o
m
p
a
r
i
n
g
t
r
a
c
e
e
1
e
m
e
n
t
e
n
r
i
c
h
m
e
n
t
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
.
1
8
1
s
i
m
i
l
a
r
s
o
u
r
c
e
r
o
c
k
i
n
t
h
e
l
o
w
e
r
c
r
u
s
t
.
T
h
i
s
m
o
d
e
l
w
i
l
l
b
e
t
e
s
t
e
d
a
n
d
d
i
s
c
u
s
s
e
d
i
n
m
o
r
e
d
e
t
a
i
l
b
e
l
o
w
.
N
d
i
s
o
t
o
p
i
c
d
a
t
a
f
r
o
m
t
h
e
i
n
i
t
i
a
l
w
o
r
k
o
f
T
e
g
t
m
e
y
e
r
,
e
t
a
l
.
,
(
1
9
8
9
)
i
n
d
i
c
a
t
e
s
t
h
a
t
t
h
e
m
a
g
m
a
t
i
c
b
o
d
i
e
s
f
o
r
b
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
e
r
e
z
o
n
e
d
w
i
t
h
r
e
s
p
e
c
t
t
o
N
d
a
n
d
e
p
s
i
l
o
n
N
d
a
n
d
b
e
h
a
v
e
d
a
s
o
p
e
n
s
y
s
t
e
m
s
w
i
t
h
r
e
s
p
e
c
t
t
o
w
a
l
l
r
o
c
k
i
n
t
e
r
a
c
t
i
o
n
(
F
i
g
.
4
8
)
.
S
i
g
n
i
f
i
c
a
n
t
d
i
f
f
e
r
e
n
c
e
s
i
n
e
p
s
i
l
o
n
N
d
v
s
.
1
/
N
d
v
a
l
u
e
s
f
o
r
b
o
t
h
m
e
m
b
e
r
s
p
r
o
v
i
d
e
s
u
p
p
o
r
t
i
n
g
e
v
i
d
e
n
c
e
f
o
r
d
i
f
f
e
r
e
n
t
d
e
g
r
e
e
s
o
f
c
r
u
s
t
a
l
m
e
l
t
i
n
g
f
o
r
t
h
e
o
r
i
g
i
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
m
a
f
i
c
m
a
g
m
a
s
,
a
n
d
,
f
o
r
m
a
g
m
a
s
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
(
F
i
g
.
4
8
)
.
T
h
e
o
r
i
g
i
n
o
f
t
h
e
m
a
f
i
c
m
a
g
m
a
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
a
n
d
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
c
a
n
b
e
a
t
l
e
a
s
t
q
u
a
l
i
t
a
t
i
v
e
l
y
e
v
a
l
u
a
t
e
d
u
s
i
n
g
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
f
r
o
m
t
h
e
t
w
o
t
u
f
f
s
.
U
s
i
n
g
t
h
e
r
e
l
a
t
i
v
e
l
y
c
o
m
p
a
t
i
b
l
e
e
l
e
m
e
n
t
s
Z
r
,
E
u
a
n
d
t
h
e
r
e
l
a
t
i
v
e
l
y
i
n
c
o
m
p
a
t
i
b
l
e
e
l
e
m
e
n
t
s
T
h
,
Y
b
a
n
d
p
l
o
t
t
i
n
g
t
h
e
m
a
g
a
i
n
s
t
S
i
0
2
w
h
e
r
e
o
n
l
y
d
a
t
a
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
i
c
t
o
t
r
a
c
h
y
d
a
c
i
t
i
c
w
h
o
l
e
-
p
u
m
i
c
e
s
a
m
p
l
e
s
a
r
e
i
n
c
l
u
d
e
d
,
i
t
c
a
n
b
e
o
b
s
e
r
v
e
d
t
h
a
t
d
a
t
a
f
r
o
m
t
h
e
f
o
u
r
m
a
j
o
r
a
s
h
-
f
l
o
w
t
u
f
f
s
(
T
o
p
o
p
a
h
S
p
r
i
n
g
M
e
m
b
e
r
,
T
i
v
a
C
a
n
y
o
n
M
e
m
b
e
r
,
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
)
o
c
c
u
r
a
s
g
e
o
c
h
e
m
i
c
a
l
l
y
d
i
s
t
i
n
c
t
g
r
o
u
p
s
(
F
i
g
.
4
9
)
.
T
h
e
s
e
g
r
o
u
p
s
o
f
d
a
t
a
a
r
e
u
s
e
d
t
o
i
n
f
e
r
t
h
a
t
t
h
e
f
o
u
r
a
s
h
-
f
l
o
w
t
u
f
f
s
o
r
i
g
i
n
a
t
e
d
a
s
s
e
p
a
r
a
t
e
m
a
g
m
a
b
a
t
c
h
e
s
f
r
o
m
e
i
t
h
e
r
d
i
f
f
e
r
e
n
t
d
e
g
r
e
e
s
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
t
h
e
s
a
m
e
s
o
u
r
c
e
r
o
c
k
o
r
f
r
o
m
p
a
r
t
i
a
l
F

i

g

u

r

e

4

8

.

N

t

d

h

e

v

e
T

r

i

s

m

u

b

s

e

r

1

/

M

N
o

d

u

d

t

a

a

t

i

a

n

n

f

T

r

u

o

f

m

f

.

T

e

g

t

m

e

y

e

r

,

e

t

8

1

.

,

(

1

9

8

9

)

f

o

r

-
9
.
0
u
°
-
1
0
.
0
2
C
:
C
D
H
-
H
U
1
E
l
_
L
U
1
1
.
0
-
1
2
.
0
1
8
2
 
 
 
D
a
c
i
t
e
(
a
4
4
+
=
H
i
g
h
—
S
i
l
i
c
a
R
h
y
o
l
i
t
e
 
 
0
0
.
0
2
0
.
0
4
0
.
0
5
1
/
N
d
(
p
p
m
)
+
A
M
M
O
N
I
A
T
A
N
K
S
M
B
F
I
.
0
R
A
I
N
I
E
R
M
E
S
A
H
E
R
.
 
 
 
 
 
 
 
I
o
o
[
I
]
T
O
P
O
P
A
H
S
P
R
I
N
G
M
B
R
.
o
:
A
T
I
V
A
C
A
N
Y
O
N
M
8
8
.
3
0
‘
@
0
"
O
R
A
I
N
I
E
R
M
E
S
A
M
B
R
.
E
o
o
+
A
M
M
O
N
I
A
T
A
N
K
S
M
8
8
.
0
o
.
o
2
0
~
0
-
E
0
0
H
3
U
m
+
+
O
0
0
A
A
I
I
I
0
0
+
+
+
+
+
+
A
A
4
I
“
8
A
3
.
_
A
A
$
1
6
.
4
C
5
1
[
3
+
[
g
]
+
+
+
2
+
6
‘
0
+
+
+
+
+
+
r
3
0
o
0
0
2
)
—
O
-
>
(
D
%
Q
%
O
O
o
o
i
o
l
+
+
+
I
8
0
0
-
+
+
h
+
f
f
;
l
.
[
1
1
C
E
;
+
+
E
J
m
a
m
£
3
6
0
0
-
9
-
0
5
9
o
+
m
L
o
0
+
E
N
6
+
4
0
0
1
"
C
)
C
D
o
%
C
)
O
(
D
'
1
’
o
u
t
o
+
l
I
‘
0
+
0
c
3
+
4
“
+
4
+
+
A
1
.
0
~
+
+
+
9
+
‘
E
0
o
0
A
M
E
]
[
m
a
(
1
+
+
I
I
]
‘
T
o
+
(
g
o
(
t
o
o
L
U
I
L
S
-
0
7
'
1
'
0
l
5
5
8
5
7
5
5
1
0
(
w
t
%
)
2
F
i
g
u
r
e
4
9
.
3
1
0
v
e
r
s
u
s
T
h
,
Y
b
,
Z
r
a
n
d
E
u
f
o
r
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
T
r
a
c
h
y
a
n
d
e
s
i
t
e
a
n
d
t
r
a
c
h
y
d
a
c
i
t
e
d
a
t
a
o
n
l
y
.
 
1
8
4
m
e
l
t
i
n
g
o
f
d
i
f
f
e
r
e
n
t
c
o
m
p
o
s
i
t
i
o
n
a
l
r
e
g
i
o
n
s
w
i
t
h
i
n
t
h
e
c
r
u
s
t
a
n
d
d
o
n
o
t
r
e
p
r
e
s
e
n
t
a
l
o
n
g
l
i
v
e
d
,
c
o
n
t
i
n
u
o
u
s
l
y
e
v
o
l
v
i
n
g
m
a
g
m
a
b
o
d
y
(
F
i
g
.
4
9
)
.
A
p
l
o
t
o
f
Y
b
/
T
h
v
s
.
T
h
,
w
h
e
r
e
b
o
t
h
e
l
e
m
e
n
t
s
a
r
e
a
t
l
e
a
s
t
p
a
r
t
i
a
l
l
y
i
n
c
o
m
p
a
t
i
b
l
e
,
p
r
o
d
u
c
e
s
a
s
e
r
i
e
s
o
f
d
a
t
a
t
r
e
n
d
s
t
h
a
t
c
a
n
o
n
l
y
b
e
e
x
p
l
a
i
n
e
d
b
y
d
i
f
f
e
r
e
n
t
d
e
g
r
e
e
s
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
a
s
i
m
i
l
a
r
s
o
u
r
c
e
r
o
c
k
,
o
r
,
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
e
t
e
r
o
g
e
n
e
o
u
s
s
o
u
r
c
e
r
o
c
k
.
C
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
c
a
n
n
o
t
b
e
u
s
e
d
t
o
e
x
p
l
a
i
n
t
h
e
l
a
r
g
e
r
a
n
g
e
i
n
d
a
t
a
f
o
r
e
a
c
h
t
u
f
f
a
s
6
0
%
f
r
a
c
t
i
o
n
a
t
i
o
n
o
f
a
c
o
m
m
o
n
t
r
a
c
h
y
a
n
d
e
s
i
t
e
p
a
r
e
n
t
c
a
n
o
n
l
y
p
r
o
d
u
c
e
a
s
m
a
l
l
p
o
r
t
i
o
n
o
f
t
h
e
o
b
s
e
r
v
e
d
r
a
n
g
e
i
n
d
a
t
a
(
F
i
g
.
5
0
)
.
A
l
t
e
r
n
a
t
i
v
e
l
y
,
a
r
a
t
i
o
p
l
o
t
u
s
i
n
g
t
h
e
p
a
r
t
i
a
l
l
y
c
o
m
p
a
t
i
b
l
e
e
l
e
m
e
n
t
s
Z
r
o
r
E
u
,
c
a
n
b
e
u
s
e
d
t
o
e
v
a
l
u
a
t
e
w
h
e
t
h
e
r
o
r
n
o
t
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
h
a
s
o
c
c
u
r
r
e
d
.
Z
r
a
n
d
E
u
r
a
t
i
o
p
l
o
t
s
a
g
a
i
n
s
h
o
w
t
h
e
d
i
s
t
i
n
c
t
g
r
o
u
p
s
o
f
d
a
t
a
o
f
e
a
c
h
o
f
t
h
e
m
a
f
i
c
e
n
d
-
m
e
m
b
e
r
s
(
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
a
n
d
t
r
a
c
h
y
d
a
c
i
t
e
s
)
o
f
t
h
e
m
a
j
o
r
a
s
h
-
f
l
o
w
t
u
f
f
s
h
e
e
t
s
(
F
i
g
.
5
1
)
.
T
h
i
s
d
a
t
a
c
a
n
b
e
u
s
e
d
t
o
i
n
f
e
r
t
h
a
t
w
i
t
h
i
n
e
a
c
h
m
a
j
o
r
a
s
h
-
f
l
o
w
t
u
f
f
,
f
r
a
c
t
i
o
n
a
t
i
o
n
i
s
a
p
l
a
u
s
i
b
l
e
m
e
c
h
a
n
i
s
m
f
o
r
t
h
e
o
r
i
g
i
n
o
f
t
h
e
v
a
r
i
a
t
i
o
n
i
n
t
h
e
v
a
r
i
o
u
s
e
l
e
m
e
n
t
a
l
r
a
t
i
o
s
w
i
t
h
i
n
e
a
c
h
g
r
o
u
p
(
s
u
c
h
a
s
z
i
r
c
o
n
f
r
a
c
t
i
o
n
a
t
i
o
n
b
e
i
n
g
r
e
s
p
o
n
s
i
b
l
e
f
o
r
t
h
e
v
a
r
i
a
t
i
o
n
i
n
t
h
e
Z
r
/
T
h
r
a
t
i
o
s
h
o
w
n
i
n
F
i
g
u
r
e
5
1
)
.
S
i
m
i
l
a
r
p
l
o
t
s
u
s
i
n
g
o
t
h
e
r
e
l
e
m
e
n
t
r
a
t
i
o
s
(
i
.
e
.
Z
r
/
R
b
)
p
r
o
d
u
c
e
s
i
m
i
l
a
r
r
e
s
u
l
t
s
.
T
h
u
s
,
t
h
e
s
e
r
a
t
i
o
p
l
o
t
s
c
a
n
b
e
u
s
e
d
t
o
i
n
f
e
r
t
h
a
t
t
h
e
o
v
e
r
a
l
l
v
a
r
i
a
t
i
o
n
i
n
c
o
m
p
o
s
i
t
i
o
n
b
e
t
w
e
e
n
v
a
r
i
o
u
s
 
1
8
5
 
 
 
 
 
0
l
I
l
l
1
0
1
5
2
0
2
5
3
0
3
5
T
h
(
p
p
m
)
F
i
g
u
r
e
5
0
.
Y
b
/
T
h
v
e
r
s
u
s
T
h
f
o
r
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
 
I

I

'

,

A

m

G
+

m

A

T

R

m

V

N

I

A

I

s

C

E

A

I

I

M

m

D

N

A

E

A

H

T

m

Y

S

N

s

H

I

M

A

‘

m

U

S

H

‘

"

‘

9

7

O

0

I

0

b

-

C

.

.

S

L

.

1

N

\

h

T

/

u

E

1
8
6
 
3
0
d
9
 
0
.
4
0
.
1
 
 
 
 
o
n
:
2
0
2
5
T
h
(
D
D
-
l
F
i
g
u
r
e
5
1
.
Z
r
/
T
h
a
n
d
E
u
/
T
h
v
e
r
s
u
s
T
h
f
o
r
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
a
n
d
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
T
r
a
c
h
y
a
n
d
e
s
i
t
e
a
n
d
t
r
a
c
h
y
d
a
c
i
t
e
d
a
t
a
o
n
l
y
.
1
8
7
m
a
f
i
c
m
a
g
m
a
s
c
a
n
n
o
t
b
e
e
x
p
l
a
i
n
e
d
b
y
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
.
T
h
e
v
a
r
i
a
t
i
o
n
i
n
c
o
m
p
o
s
i
t
i
o
n
o
f
t
h
e
m
o
s
t
m
a
f
i
c
m
a
g
m
a
s
o
f
t
h
e
f
o
u
r
a
s
h
-
f
l
o
w
t
u
f
f
s
i
s
m
o
s
t
l
i
k
e
l
y
d
u
e
t
o
a
d
i
f
f
e
r
e
n
c
e
i
n
d
e
g
r
e
e
s
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
a
s
i
m
i
l
a
r
s
o
u
r
c
e
r
o
c
k
,
o
r
,
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
e
t
e
r
o
g
e
n
e
o
u
s
s
o
u
r
c
e
r
o
c
k
.
R
h
y
o
l
i
t
e
s
O
r
i
g
i
n
o
f
t
h
e
r
h
y
o
l
i
t
i
c
m
a
g
m
a
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
s
m
o
r
e
d
i
f
f
i
c
u
l
t
t
o
r
e
s
o
l
v
e
.
P
u
r
e
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
c
a
n
a
c
c
o
u
n
t
o
n
l
y
f
o
r
t
h
e
f
o
r
m
a
t
i
o
n
o
f
t
h
e
l
o
w
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
f
r
o
m
r
h
y
o
l
i
t
e
(
R
2
3
-
1
3
R
H
t
o
R
1
8
-
2
H
S
R
;
M
o
d
e
l
4
)
.
A
t
t
e
m
p
t
s
t
o
m
o
d
e
l
t
h
e
o
r
i
g
i
n
o
f
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
f
r
o
m
m
o
r
e
m
a
f
i
c
m
a
g
m
a
t
i
c
c
o
m
p
o
n
e
n
t
s
o
r
o
t
h
e
r
d
a
c
i
t
i
c
t
o
r
h
y
o
l
i
t
i
c
m
a
g
m
a
t
i
c
c
o
m
p
o
n
e
n
t
s
b
y
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
f
a
i
l
c
o
m
p
l
e
t
e
l
y
.
T
h
e
e
x
t
r
e
m
e
e
n
r
i
c
h
m
e
n
t
o
f
R
b
,
N
b
a
n
d
T
h
i
n
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
v
e
r
s
u
s
t
h
e
c
o
n
c
e
n
t
r
a
t
i
o
n
o
f
t
h
e
s
e
e
l
e
m
e
n
t
s
i
n
t
h
e
l
o
w
e
r
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
r
l
o
w
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
c
a
n
n
o
t
b
e
e
x
p
l
a
i
n
e
d
b
y
s
i
m
p
l
e
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
.
T
h
e
o
r
i
g
i
n
o
f
t
h
e
l
o
w
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
m
a
y
b
e
r
e
l
a
t
e
d
t
o
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
o
f
t
h
e
t
r
a
c
h
y
d
a
c
i
t
i
c
m
a
g
m
a
w
i
t
h
s
o
m
e
c
r
u
s
t
a
l
a
s
s
i
m
i
l
a
t
i
o
n
o
c
c
u
r
r
i
n
g
,
w
h
i
l
e
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
1
8
8
s
i
l
i
c
a
r
h
y
o
l
i
t
e
m
o
s
t
l
i
k
e
l
y
r
e
p
r
e
s
e
n
t
s
a
s
e
p
a
r
a
t
e
m
e
l
t
d
e
r
i
v
e
d
f
r
o
m
N
b
-
e
n
r
i
c
h
e
d
c
r
u
s
t
a
l
m
a
t
e
r
i
a
l
.
R
h
y
o
l
i
t
e
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
m
o
s
t
l
i
k
e
l
y
r
e
p
r
e
s
e
n
t
m
o
d
i
f
i
e
d
r
e
s
i
d
u
a
l
r
h
y
o
l
i
t
e
r
e
m
a
i
n
i
n
g
a
f
t
e
r
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
h
i
s
r
e
s
i
d
u
a
l
r
h
y
o
l
i
t
e
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
b
o
t
h
l
o
w
-
N
b
a
n
d
h
i
g
h
-
N
b
)
w
a
s
p
r
o
b
a
b
l
y
m
o
d
i
f
i
e
d
b
y
i
n
p
u
t
o
f
n
e
w
c
r
u
s
t
a
l
m
e
l
t
,
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
,
a
s
s
i
m
i
l
a
t
i
o
n
a
n
d
p
e
r
h
a
p
s
s
o
m
e
m
i
x
i
n
g
o
f
t
h
e
t
w
o
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
.
A
l
t
h
o
u
g
h
R
o
s
e
'
s
(
1
9
8
8
)
m
o
d
e
l
l
i
n
g
i
s
p
e
r
m
i
s
s
i
v
e
f
o
r
g
e
n
e
r
a
t
i
o
n
o
f
t
h
e
r
h
y
o
l
i
t
e
s
b
y
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
o
f
m
o
r
e
m
a
f
i
c
t
r
a
c
h
y
d
a
c
i
t
e
t
o
t
r
a
c
h
y
a
n
d
e
s
i
t
e
,
t
h
e
g
e
o
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
d
a
t
a
a
r
e
m
o
r
e
c
o
n
s
i
s
t
e
n
t
w
i
t
h
a
n
i
n
d
e
p
e
n
d
e
n
t
s
o
u
r
c
e
f
o
r
t
h
e
s
e
m
a
g
m
a
s
.
N
d
i
s
o
t
o
p
i
c
e
v
i
d
e
n
c
e
f
r
o
m
T
e
g
t
m
e
y
e
r
,
e
t
a
l
.
,
(
1
9
8
9
)
a
g
a
i
n
a
r
e
c
o
n
s
i
s
t
e
n
t
w
i
t
h
a
m
o
d
e
l
o
f
a
n
o
p
e
n
s
y
s
t
e
m
w
h
e
r
e
a
l
l
l
e
v
e
l
s
o
f
t
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
e
r
e
o
p
e
n
t
o
w
a
l
l
r
o
c
k
i
n
t
e
r
a
c
t
i
o
n
.
M
E
G
M
A
T
I
C
W
A
T
E
R
C
O
N
T
E
N
T
S
P
r
e
l
i
m
i
n
a
r
y
H
2
0
a
n
d
C
0
2
c
o
n
t
e
n
t
s
c
a
l
c
u
l
a
t
e
d
b
y
V
o
g
e
l
,
e
t
a
l
.
,
(
1
9
8
9
)
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
b
a
s
e
d
o
n
i
n
f
r
a
r
e
d
s
p
e
c
t
r
o
g
r
a
p
h
i
c
a
n
a
l
y
s
e
s
o
f
o
v
e
r
2
5
0
m
e
l
t
i
n
c
l
u
s
i
o
n
s
i
n
f
e
l
d
s
p
a
r
a
n
d
q
u
a
r
t
z
p
h
e
n
o
c
r
y
s
t
s
r
a
n
g
e
f
r
o
m
1
.
0
w
t
%
t
o
2
.
1
w
t
%
H
2
0
i
n
t
r
a
c
h
y
d
a
c
i
t
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
(
6
4
.
9
7
w
t
%
S
i
O
Z
)
a
n
d
3
.
2
w
t
%
t
o
5
.
9
w
t
%
H
2
0
i
n
m
o
r
e
s
i
l
i
c
e
o
u
s
t
r
a
c
h
y
d
a
c
i
t
i
c
t
o
r
h
y
o
l
i
t
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
(
6
7
.
0
8
w
t
%
t
o
7
0
.
4
2
w
t
%
S
i
0
2
)
.
C
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
t
h
e
l
o
w
e
r
-
s
i
l
i
c
a
t
r
a
c
h
y
d
a
c
i
t
e
p
u
m
i
c
e
c
o
n
t
a
i
n
e
d
f
r
o
m
7
8
p
p
m
t
o
1
0
6
p
p
m
C
0
2
w
h
i
l
e
p
h
e
n
o
c
r
y
s
t
s
f
r
o
m
h
i
g
h
e
r
-
s
i
l
i
c
a
p
u
m
i
c
e
c
o
n
t
a
i
n
e
d
2
3
p
p
m
t
o
1
0
2
p
p
m
C
0
2
(
V
o
g
e
l
,
1
9
9
0
,
u
n
p
u
b
l
i
s
h
e
d
d
a
t
a
)
.
U
s
i
n
g
t
h
e
t
h
e
o
r
e
t
i
c
a
l
c
l
o
s
e
d
-
s
y
s
t
e
m
d
e
g
a
s
s
i
n
g
c
u
r
v
e
s
f
o
r
H
2
0
a
n
d
C
0
2
d
e
r
i
v
e
d
b
y
N
e
w
m
a
n
,
e
t
a
l
.
,
(
1
9
8
8
)
f
o
r
o
b
s
i
d
i
a
n
f
r
o
m
t
h
e
M
o
n
o
C
r
a
t
e
r
s
,
C
a
l
i
f
o
r
n
i
a
,
d
a
t
a
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
a
p
p
e
a
r
t
o
f
a
l
l
a
l
o
n
g
t
w
o
t
r
e
n
d
s
(
F
i
g
.
5
2
)
.
V
o
l
a
t
i
l
e
d
a
t
a
f
r
o
m
t
h
e
h
i
g
h
e
r
-
s
i
l
i
c
a
t
r
a
c
h
y
d
a
c
i
t
i
c
t
o
r
h
y
o
l
i
t
i
c
p
u
m
i
c
e
f
a
l
l
t
o
t
h
e
r
i
g
h
t
o
f
t
h
e
c
l
o
s
e
d
s
y
s
t
e
m
d
e
g
a
s
s
i
n
g
c
u
r
v
e
o
f
N
e
w
m
a
n
,
e
t
a
l
.
,
(
1
9
8
8
)
f
o
r
i
n
i
t
i
a
l
H
2
0
a
n
d
C
0
2
c
o
n
t
e
n
t
s
o
f
5
.
0
w
t
%
a
n
d
1
.
2
w
t
%
r
e
s
p
e
c
t
i
v
e
l
y
.
T
h
e
m
o
r
e
m
a
f
i
c
p
u
m
i
c
e
f
r
a
g
m
e
n
t
p
h
e
n
o
c
r
y
s
t
d
a
t
a
f
a
l
l
t
o
t
h
e
l
e
f
t
o
f
t
h
e
N
e
w
m
a
n
,
e
t
a
l
.
,
(
1
9
8
8
)
i
n
i
t
i
a
l
d
e
g
a
s
s
i
n
g
c
u
r
v
e
.
A
l
t
h
o
u
g
h
o
n
l
y
t
w
o
d
a
t
a
p
o
i
n
t
s
a
r
e
a
v
a
i
l
a
b
l
e
f
o
r
t
h
e
m
a
f
i
c
p
u
m
i
c
e
p
h
e
n
o
c
r
y
s
t
s
,
t
h
i
s
d
a
t
a
c
a
n
b
e
u
s
e
d
t
o
1
8
9
 
8

8

9

1

a

t

a

2

2

2

0

0

0

s

e

v

t

D

.

.

i

1

1

1

F

r

m

l

.

3

$

3

u

a

e

b

C

t

u

t

%

%

%

s

t

p

s

t

t

t

q

y

e

e

n

w

w

w

n

S

B

U

i

.

s

1

d

7

8

2

n

.

9

0

4

s

a

e

a

l

a

s

u

m

e

.

.

.

o

o

s

w

g

4

7

0

e

l

i

o

e

5

6

7

O

V

C

N

V

f

e

o

t

a

s

r

e

a

v

p

r

e

u

s

c

e

g

h

n

t

i

s

g

s

n

a

i

g

w

e

o

d

h

s

-

e

1

1

1

O

A

—

-

—

—

—

u

—

-

h

r

t

e

b

g

0

m

n

0

e

i

M

s

.

u

7

s

.

L

k

e

I

.

a

r

0

2

1

l

l

n

t

a

i

T

l

o

a

y

i

h

n

r

o

0

m

d

l

0

m

n

.

5

A

a

e

:

)

e

h

%

t

t

i

t

r

c

w

o

a

f

d

(

y

0

0

.

0

s

h

n

c

o

a

i

r

t

t

3

a

2

H

t

h

)

r

e

.

n

8

t

e

8

c

r

9

n

o

1

o

f

(

c

s

,

0

a

.

0

0

l

t

.

1

C

a

a

p

s

t

u

g

e

s

n

r

i

,

e

s

n

v

s

a

a

m

0

w

g

5

e

H

N

d

.

2

5

e

r

u

g

i

F

 
 
U
I
U
U
I
U
V
I
I
I
I
I
W
V
I
T
I
U
I
'
\
l
J
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
l
L
J
l
l
l
1
9
0
 
 
 
 
1
9
1
s
u
g
g
e
s
t
,
a
l
b
e
i
t
s
o
m
e
w
h
a
t
c
a
u
t
i
o
u
s
l
y
,
t
h
a
t
t
h
e
m
o
r
e
m
a
f
i
c
m
a
g
m
a
e
x
p
e
r
i
e
n
c
e
d
a
s
e
p
a
r
a
t
e
c
l
o
s
e
d
-
s
y
s
t
e
m
d
e
g
a
s
s
i
n
g
p
a
t
h
f
r
o
m
t
h
e
m
o
r
e
s
i
l
i
c
i
c
m
a
g
m
a
(
F
i
g
.
5
2
)
.
P
r
e
l
i
m
i
n
a
r
y
v
o
l
a
t
i
l
e
d
a
t
a
f
r
o
m
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
n
d
i
c
a
t
e
t
h
a
t
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
i
c
t
o
t
r
a
c
h
y
d
a
c
i
t
i
c
m
a
g
m
a
s
w
e
r
e
i
n
d
e
p
e
n
d
e
n
t
l
y
z
o
n
e
d
w
i
t
h
r
e
s
p
e
c
t
t
o
t
h
e
r
h
y
o
l
i
t
i
c
m
a
g
m
a
s
.
A
l
t
h
o
u
g
h
s
t
i
l
l
p
r
e
l
i
m
i
n
a
r
y
i
n
n
a
t
u
r
e
,
t
h
i
s
d
a
t
a
i
s
s
u
p
p
o
r
t
i
v
e
o
f
a
n
i
n
d
e
p
e
n
d
e
n
t
s
o
u
r
c
e
m
o
d
e
l
f
o
r
t
h
e
v
a
r
i
o
u
s
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
p
r
e
s
e
n
t
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
s
y
s
t
e
m
.
I
n
i
t
i
a
l
m
a
j
o
r
e
l
e
m
e
n
t
d
a
t
a
f
r
o
m
t
h
e
g
l
a
s
s
i
n
c
l
u
s
i
o
n
s
a
n
d
t
h
a
t
o
f
t
h
e
p
u
m
i
c
e
m
a
t
r
i
x
g
l
a
s
s
,
i
s
a
l
m
o
s
t
e
x
a
c
t
l
y
i
d
e
n
t
i
c
a
l
f
o
r
a
l
l
t
h
e
s
a
m
p
l
e
s
t
h
u
s
f
a
r
s
t
u
d
i
e
d
(
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
)
(
V
o
g
e
l
,
1
9
9
1
;
p
e
r
s
.
c
o
m
m
.
)
.
T
h
i
s
d
a
t
a
w
o
u
l
d
i
n
d
i
c
a
t
e
t
h
e
n
t
h
a
t
t
h
e
m
e
l
t
c
o
m
p
o
s
i
t
i
o
n
s
w
e
r
e
n
o
t
b
e
i
n
g
s
i
g
n
i
f
i
c
a
n
t
l
y
m
o
d
i
f
i
e
d
b
y
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
.
 
E
R
U
P
T
I
O
N
D
Y
N
A
M
I
C
S
E
a
r
l
y
w
o
r
k
b
y
L
i
p
m
a
n
(
1
9
6
7
)
,
a
n
d
m
o
r
e
r
e
c
e
n
t
l
y
w
o
r
k
b
y
B
l
a
k
e
(
1
9
8
1
)
,
H
i
l
d
r
e
t
h
(
1
9
8
3
)
,
W
o
l
f
f
a
n
d
S
t
o
r
e
y
(
1
9
8
4
)
,
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
(
1
9
8
9
)
a
n
d
F
l
o
o
d
,
e
t
a
l
.
,
(
1
9
8
9
a
)
h
a
s
s
h
o
w
n
t
h
a
t
t
h
e
z
o
n
a
t
i
o
n
w
i
t
h
i
n
a
s
h
-
f
l
o
w
t
u
f
f
s
i
s
m
o
r
e
c
o
m
p
l
e
x
t
h
a
n
t
h
e
w
h
o
l
e
r
o
c
k
c
h
e
m
i
s
t
r
y
w
o
u
l
d
i
m
p
l
y
.
A
n
a
l
y
s
e
s
o
f
i
n
d
i
v
i
d
u
a
l
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
c
o
l
l
e
c
t
e
d
f
r
o
m
t
h
e
b
a
s
e
t
o
t
h
e
t
o
p
o
f
a
s
t
r
a
t
i
g
r
a
p
h
i
c
s
e
c
t
i
o
n
h
a
v
e
s
y
s
t
e
m
a
t
i
c
v
a
r
i
a
t
i
o
n
s
i
n
c
h
e
m
i
s
t
r
y
,
m
i
n
e
r
a
l
o
g
y
,
a
n
d
t
h
e
r
m
a
l
g
r
a
d
i
e
n
t
s
w
h
e
n
a
n
a
l
y
z
e
d
a
s
a
g
r
o
u
p
.
H
o
w
e
v
e
r
,
a
n
a
l
y
s
e
s
o
f
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
c
o
l
l
e
c
t
e
d
l
a
t
e
r
a
l
l
y
o
v
e
r
d
i
s
t
a
n
c
e
s
o
f
a
f
e
w
m
e
t
e
r
s
a
l
s
o
s
h
o
w
d
i
s
c
r
e
t
e
a
n
d
s
o
m
e
t
i
m
e
s
l
a
r
g
e
v
a
r
i
a
t
i
o
n
s
i
n
c
o
m
p
o
s
i
t
i
o
n
b
e
t
w
e
e
n
t
h
e
i
n
d
i
v
i
d
u
a
l
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
(
F
i
g
s
.
2
a
,
2
b
,
3
)
(
L
i
p
m
a
n
,
1
9
6
7
;
W
o
l
f
f
a
n
d
S
t
o
r
e
y
,
1
9
8
4
;
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
1
9
8
6
,
1
9
8
9
;
R
o
s
e
,
1
9
8
8
;
F
l
o
o
d
,
e
t
a
l
.
,
1
9
8
9
a
)
.
R
e
c
o
g
n
i
t
i
o
n
o
f
t
h
i
s
c
o
m
p
o
s
i
t
i
o
n
a
l
h
e
t
e
r
o
g
e
n
e
i
t
y
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
h
a
s
f
o
r
c
e
d
a
r
e
v
i
e
w
o
f
h
o
w
m
a
g
m
a
i
s
e
r
u
p
t
e
d
f
r
o
m
a
c
h
a
m
b
e
r
.
B
l
a
k
e
(
1
9
8
1
)
u
n
d
e
r
t
o
o
k
a
m
a
t
h
e
m
a
t
i
c
a
l
a
n
a
l
y
s
i
s
o
f
e
r
u
p
t
i
o
n
d
y
n
a
m
i
c
s
f
o
r
N
e
w
t
o
n
i
a
n
f
l
u
i
d
s
a
n
d
f
o
u
n
d
t
h
a
t
t
h
e
e
v
a
c
u
a
t
i
o
n
o
f
a
m
a
g
m
a
c
h
a
m
b
e
r
c
o
u
l
d
b
e
m
o
d
e
l
l
e
d
b
y
c
i
r
c
u
l
a
r
e
r
u
p
t
i
o
n
i
s
o
c
h
r
o
n
s
(
F
i
g
.
5
3
)
.
I
n
t
h
i
s
w
a
y
,
B
l
a
k
e
(
1
9
8
1
)
s
u
g
g
e
s
t
e
d
t
h
a
t
c
o
m
p
o
s
i
t
i
o
n
a
l
h
e
t
e
r
o
g
e
n
e
i
t
i
e
s
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
s
h
o
u
l
d
b
e
o
b
s
e
r
v
e
d
w
i
t
h
i
n
a
s
h
-
f
l
o
w
s
h
e
e
t
s
a
s
s
u
m
i
n
g
c
o
m
p
o
s
i
t
i
o
n
a
l
l
a
y
e
r
i
n
g
e
x
i
s
t
e
d
i
n
t
h
e
m
a
g
m
a
b
o
d
y
.
T
h
i
s
h
e
t
e
r
o
g
e
n
e
i
t
y
1
9
2
1
9
3
 
H
I
G
H
-
S
I
L
I
C
A
R
H
Y
O
L
I
T
E
 
 
D
A
C
I
T
E
 
A
N
D
E
S
I
T
E
 
 
(
M
o
d
i
f
i
e
d
f
r
o
m
B
L
A
K
E
I
9
8
I
'
S
C
H
U
R
A
Y
T
Z
.
:
1
a
n
I
9
8
6
)
H
Y
P
O
T
H
E
T
I
C
A
L
M
A
G
M
A
C
H
A
M
B
E
R
F
i
g
u
r
e
5
3
.
S
c
h
e
m
a
t
i
c
d
i
a
g
r
a
m
o
f
e
v
a
c
u
a
t
i
o
n
i
s
o
c
h
r
o
n
s
a
s
m
o
d
e
l
l
e
d
b
y
B
l
a
k
e
(
l
9
8
1
)
f
o
r
a
l
i
q
u
i
d
o
f
h
o
m
o
g
e
n
e
o
u
s
d
e
n
s
i
t
y
a
n
d
v
i
s
c
o
s
i
t
y
b
e
i
n
g
d
r
a
i
n
e
d
f
r
o
m
a
s
i
n
g
l
e
v
e
n
t
.
 
1
9
4
w
o
u
l
d
r
e
s
u
l
t
f
r
o
m
s
i
m
u
l
t
a
n
e
o
u
s
t
a
p
p
i
n
g
o
f
d
i
f
f
e
r
e
n
t
c
o
m
p
o
s
i
t
i
o
n
a
l
z
o
n
e
s
o
f
m
a
g
m
a
a
t
a
n
y
i
n
s
t
a
n
t
i
n
t
i
m
e
.
T
h
e
e
f
f
e
c
t
o
f
d
i
s
c
r
e
t
e
m
a
g
m
a
l
a
y
e
r
s
w
i
t
h
d
e
n
s
i
t
y
/
v
i
s
c
o
s
i
t
y
v
a
r
i
a
t
i
o
n
s
h
o
w
e
v
e
r
w
a
s
n
o
t
t
a
k
e
n
i
n
t
o
a
c
c
o
u
n
t
(
B
l
a
k
e
a
n
d
I
v
e
y
,
1
9
8
6
)
.
R
e
-
a
n
a
l
y
s
i
s
o
f
t
h
e
p
r
o
b
l
e
m
i
n
l
i
g
h
t
o
f
d
e
n
s
i
t
y
/
v
i
s
c
o
s
i
t
y
d
i
f
f
e
r
e
n
c
e
s
i
n
t
h
e
f
l
u
i
d
l
a
y
e
r
s
h
a
s
s
h
o
w
n
t
h
a
t
w
i
t
h
d
r
a
w
a
l
o
f
t
h
e
d
e
e
p
e
r
,
m
o
r
e
d
e
n
s
e
,
l
e
s
s
v
i
s
c
o
u
s
f
l
u
i
d
c
a
n
o
c
c
u
r
r
a
p
i
d
l
y
a
f
t
e
r
i
n
i
t
i
a
l
e
v
a
c
u
a
t
i
o
n
b
e
g
i
n
s
,
a
n
d
b
e
f
o
r
e
c
o
m
p
l
e
t
e
r
e
m
o
v
a
l
o
f
t
h
e
u
p
p
e
r
l
a
y
e
r
h
a
s
o
c
c
u
r
r
e
d
.
T
a
p
p
i
n
g
o
f
t
h
e
l
o
w
e
r
,
m
o
r
e
d
e
n
s
e
l
a
y
e
r
i
s
p
r
i
m
a
r
i
l
y
d
e
p
e
n
d
e
n
t
u
p
o
n
t
h
e
t
h
i
c
k
n
e
s
s
a
n
d
v
i
s
c
o
s
i
t
y
o
f
t
h
e
o
v
e
r
l
y
i
n
g
l
a
y
e
r
(
B
l
a
k
e
a
n
d
I
v
e
y
,
1
9
8
6
)
(
F
i
g
.
5
4
)
.
T
h
e
t
h
e
o
r
e
t
i
c
a
l
m
o
d
e
l
s
s
u
g
g
e
s
t
t
h
a
t
w
i
t
h
d
r
a
w
a
l
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
a
n
d
/
o
r
l
a
y
e
r
e
d
m
a
g
m
a
c
a
n
p
r
o
d
u
c
e
c
o
m
p
o
s
i
t
i
o
n
a
l
h
e
t
e
r
o
g
e
n
e
i
t
i
e
s
s
i
m
i
l
a
r
t
o
t
h
o
s
e
o
b
s
e
r
v
e
d
i
n
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
o
f
a
s
h
-
f
l
o
w
t
u
f
f
s
w
h
e
t
h
e
r
t
h
e
m
a
g
m
a
b
o
d
y
i
s
z
o
n
e
d
a
n
d
/
o
r
l
a
y
e
r
e
d
.
B
o
t
h
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
e
x
h
i
b
i
t
c
o
m
p
o
s
i
t
i
o
n
a
l
h
e
t
e
r
o
g
e
n
e
i
t
y
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
b
o
t
h
v
e
r
t
i
c
a
l
l
y
a
n
d
l
a
t
e
r
a
l
l
y
i
n
a
n
y
g
i
v
e
n
s
t
r
a
t
i
g
r
a
p
h
i
c
s
e
c
t
i
o
n
(
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
m
o
s
t
t
h
e
b
a
s
a
l
u
n
w
e
l
d
e
d
z
o
n
e
s
w
h
i
c
h
a
r
e
c
o
m
p
o
s
e
d
o
f
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
)
(
F
i
g
s
.
2
a
,
2
b
,
3
)
.
I
n
m
a
n
y
l
o
c
a
l
i
t
i
e
s
t
h
e
b
a
s
a
l
u
n
w
e
l
d
e
d
t
u
f
f
m
a
y
b
e
r
e
l
a
t
i
v
e
l
y
h
o
m
o
g
e
n
e
o
u
s
a
n
d
c
o
n
t
a
i
n
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
i
t
h
a
c
o
m
p
o
s
i
t
i
o
n
o
f
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
T
h
i
s
h
o
m
o
g
e
n
e
o
u
s
z
o
n
e
h
o
w
e
v
e
r
,
q
u
i
c
k
l
y
b
e
c
o
m
e
s
 
1
9
5
E
2
6
P
E
V
O
U
M
E
U
V
7
V
I
L
 
q
l
’
v
l
\
/
f
2
’
2
2
’
2
-
£
-
(
B
L
A
K
E
a
n
d
I
V
E
Y
,
I
9
8
6
)
 
 
 
 
 
'
\
g
_
_
_
_
_
_
_
—
_
—
—
—
—
-
—
—
_
—
—
—
—
-
_
—
_
_
_
—
_
—
—
—
-
—
_
—
_
M
—
-
—
_
—
—
—
—
—
—
—
—
—
fl
_
—
_
—
—
—
—
—
—
—
—
—
-
—
_
—
—
—
—
—
—
—
*
—
_
.
—
—
—
-
—
—
—
-
.
—
—
—
—
—
—
—
W
q
l
’
v
l
 
 
 
 
 
f
i
Y
F
fl
9
7
7
fl
F
7
7
Z
3
4
L
4
4
4
C
W
M
¥
1
1
6
7
£
4
4
4
9
E
7
?
F
i
g
u
r
e
5
4
.
S
c
h
e
m
a
t
i
c
d
i
a
g
r
a
m
o
f
t
h
e
e
v
a
c
u
a
t
i
o
n
p
r
o
f
i
l
e
f
o
r
t
w
o
l
i
q
u
i
d
s
o
f
c
o
n
t
r
a
s
t
i
n
g
d
e
n
s
i
t
y
(
0
,
)
a
n
d
v
i
s
c
o
s
i
t
y
(
v
1
,
v
-
)
b
e
i
n
g
d
r
a
i
n
e
d
f
r
o
m
a
s
i
n
g
l
e
v
e
n
I
(
M
o
d
i
f
i
e
d
f
r
o
m
B
l
a
k
e
a
n
g
I
v
e
y
,
1
9
8
6
)
.
1
9
6
h
e
t
e
r
o
g
e
n
e
o
u
s
h
o
w
e
v
e
r
w
i
t
h
r
e
s
p
e
c
t
t
o
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
w
i
t
h
i
n
1
0
c
m
t
o
1
0
0
c
m
u
p
s
e
c
t
i
o
n
.
I
n
t
h
e
u
p
p
e
r
u
n
w
e
l
d
e
d
z
o
n
e
o
f
t
h
e
a
s
h
-
f
l
o
w
s
h
e
e
t
,
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
d
e
f
i
n
e
d
b
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
o
u
n
d
i
n
t
h
e
l
o
w
e
r
p
o
r
t
i
o
n
s
o
f
t
h
e
s
h
e
e
t
i
s
f
o
u
n
d
w
i
t
h
i
n
t
h
i
s
u
p
p
e
r
z
o
n
e
.
T
h
i
s
p
h
e
n
o
m
e
n
a
i
s
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
f
i
n
d
i
n
g
s
o
f
S
c
h
u
r
a
y
t
z
,
e
t
a
l
.
,
(
1
9
8
6
,
1
9
8
9
)
f
o
r
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
T
u
f
f
.
I
f
s
i
m
p
l
e
v
e
r
t
i
c
a
l
d
r
a
w
d
o
w
n
o
f
a
z
o
n
e
d
m
a
g
m
a
b
o
d
y
h
a
d
o
c
c
u
r
r
e
d
,
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
i
n
t
h
e
a
s
h
-
f
l
o
w
t
u
f
f
w
o
u
l
d
b
e
r
e
l
a
t
i
v
e
l
y
h
o
m
o
g
e
n
e
o
u
s
a
t
a
n
y
g
i
v
e
n
s
t
r
a
t
i
g
r
a
p
h
i
c
h
o
r
i
z
o
n
a
n
d
w
o
u
l
d
e
x
h
i
b
i
t
a
s
y
s
t
e
m
a
t
i
c
c
h
a
n
g
e
f
r
o
m
m
o
r
e
e
v
o
l
v
e
d
c
o
m
p
o
s
i
t
i
o
n
s
a
t
t
h
e
b
a
s
e
t
o
m
o
r
e
m
a
f
i
c
c
o
m
p
o
s
i
t
i
o
n
s
a
t
t
h
e
t
o
p
.
T
h
e
d
a
t
a
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
s
n
o
t
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
i
s
m
o
d
e
l
.
T
h
e
d
a
t
a
i
s
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
m
o
d
e
l
o
f
B
l
a
k
e
a
n
d
I
v
e
y
(
1
9
8
6
)
.
S
U
M
M
A
R
!
A
N
D
C
O
N
C
L
U
S
I
O
N
S
G
e
o
c
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
a
l
a
n
a
l
y
s
e
s
o
f
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
r
o
m
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
r
e
v
e
a
l
t
h
a
t
t
h
e
p
a
r
e
n
t
a
l
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
f
r
o
m
w
h
i
c
h
t
h
e
t
u
f
f
s
o
r
i
g
i
n
a
t
e
d
,
w
e
r
e
c
o
m
p
o
s
e
d
o
f
m
a
g
m
a
r
a
n
g
i
n
g
i
n
c
o
m
p
o
s
i
t
i
o
n
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
(
5
7
w
t
%
S
i
0
2
a
n
d
5
9
w
t
%
S
i
0
2
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
s
r
e
s
p
e
c
t
i
v
e
l
y
)
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
(
7
8
w
t
%
S
i
0
2
f
o
r
b
o
t
h
m
e
m
b
e
r
s
)
.
B
a
s
e
d
o
n
t
h
e
g
e
o
c
h
e
m
i
c
a
l
s
i
m
i
l
a
r
i
t
y
o
f
t
h
e
t
w
o
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
,
i
t
i
s
i
n
f
e
r
r
e
d
t
h
a
t
m
a
g
m
a
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
r
i
g
i
n
a
t
e
d
a
s
a
c
o
m
b
i
n
a
t
i
o
n
o
f
;
r
e
s
i
d
u
a
l
m
a
g
m
a
s
l
e
f
t
o
v
e
r
a
f
t
e
r
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
a
s
s
i
m
i
l
a
t
i
o
n
o
f
w
a
l
l
r
o
c
k
,
i
n
p
u
t
o
f
n
e
w
,
p
e
r
h
a
p
s
s
l
i
g
h
t
l
y
a
l
k
a
l
i
n
e
m
a
g
m
a
a
s
e
v
i
d
e
n
c
e
d
b
y
t
h
e
e
l
e
v
a
t
e
d
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
B
a
,
Z
r
,
H
f
,
N
b
a
n
d
L
a
i
n
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
i
c
p
u
m
i
c
e
a
n
d
a
s
t
e
e
p
e
n
i
n
g
o
f
t
h
e
p
a
l
e
o
m
a
g
m
a
t
i
c
t
e
m
p
e
r
a
t
u
r
e
g
r
a
d
i
e
n
t
w
i
t
h
r
e
s
p
e
c
t
t
o
t
h
a
t
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
W
i
t
h
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
,
t
h
e
r
e
i
s
e
v
i
d
e
n
c
e
f
r
o
m
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
c
h
e
m
i
s
t
r
y
a
n
d
g
e
o
t
h
e
r
m
o
m
e
t
r
y
o
f
F
e
-
T
i
o
x
i
d
e
s
f
o
r
a
t
l
e
a
s
t
t
w
o
s
e
p
a
r
a
t
e
m
a
g
m
a
b
a
t
c
h
e
s
;
o
n
e
,
t
h
e
d
o
m
i
n
a
n
t
v
o
l
u
m
e
m
a
g
m
a
b
o
d
y
r
a
n
g
i
n
g
i
n
c
o
m
p
o
s
i
t
i
o
n
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
l
o
w
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
,
a
n
d
t
w
o
,
a
s
e
p
a
r
a
t
e
,
s
m
a
l
l
e
r
v
o
l
u
m
e
b
o
d
y
o
f
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
D
a
t
a
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
d
o
e
s
n
o
t
r
e
v
e
a
l
a
n
y
u
n
e
q
u
i
v
o
c
a
l
1
9
7
1
9
8
e
v
i
d
e
n
c
e
f
o
r
t
h
e
e
x
i
s
t
e
n
c
e
o
f
s
e
p
a
r
a
t
e
m
a
g
m
a
b
o
d
i
e
s
.
T
h
a
n
d
Y
b
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
h
o
w
e
v
e
r
m
a
y
i
n
d
i
c
a
t
e
t
h
e
p
r
e
s
e
n
c
e
o
f
t
w
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
.
T
h
e
s
e
r
h
y
o
l
i
t
e
s
m
a
y
r
e
p
r
e
s
e
n
t
c
h
e
m
i
c
a
l
l
y
m
o
d
i
f
i
e
d
,
r
e
s
i
d
u
a
l
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
l
e
f
t
o
v
e
r
a
f
t
e
r
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
A
l
t
h
o
u
g
h
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
d
o
o
c
c
u
r
i
n
t
h
e
m
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
i
n
b
o
t
h
m
e
m
b
e
r
s
,
t
h
e
g
e
o
c
h
e
m
i
c
a
l
,
m
i
n
e
r
a
l
o
g
i
c
a
l
a
n
d
g
e
o
t
h
e
r
m
o
m
e
t
r
i
c
d
a
t
a
a
r
e
n
o
t
e
n
t
i
r
e
l
y
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
m
o
d
e
l
o
f
a
s
i
n
g
l
e
,
l
a
y
e
r
e
d
m
a
g
m
a
c
h
a
m
b
e
r
f
o
r
e
i
t
h
e
r
m
e
m
b
e
r
a
t
t
h
e
t
i
m
e
o
f
’
e
r
u
p
t
i
o
n
.
T
h
e
d
a
t
a
a
r
e
m
o
r
e
c
o
n
s
i
s
t
e
n
t
h
o
w
e
v
e
r
w
i
t
h
a
m
o
d
e
l
o
f
a
z
o
n
e
d
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
h
e
r
e
t
h
e
m
o
r
e
m
a
f
i
c
t
r
a
c
h
y
a
n
d
e
s
i
t
e
i
s
o
v
e
r
l
a
i
n
b
y
p
r
o
g
r
e
s
s
i
v
e
l
y
m
o
r
e
s
i
l
i
c
i
c
m
a
g
m
a
w
h
i
c
h
e
v
e
n
t
u
a
l
l
y
g
r
a
d
e
s
i
n
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
a
t
t
h
e
c
h
a
m
b
e
r
c
u
p
o
l
a
.
T
h
e
o
r
i
g
i
n
o
f
t
h
e
g
e
o
c
h
e
m
i
c
a
l
g
a
p
s
i
s
s
o
m
e
w
h
a
t
e
n
i
g
m
a
t
i
c
.
T
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
a
r
e
i
n
f
e
r
r
e
d
i
n
t
h
i
s
s
t
u
d
y
t
o
r
e
p
r
e
s
e
n
t
i
n
i
t
i
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
b
o
u
n
d
a
r
i
e
s
w
h
i
c
h
w
e
r
e
p
r
e
s
e
n
t
p
r
i
o
r
t
o
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
h
e
g
a
p
s
o
r
i
g
i
n
a
t
e
d
a
s
i
n
d
i
v
i
d
u
a
l
m
a
g
m
a
b
a
t
c
h
e
s
w
e
r
e
b
r
o
u
g
h
t
t
o
g
e
t
h
e
r
t
o
f
o
r
m
a
d
o
m
i
n
a
n
t
v
o
l
u
m
e
,
l
a
y
e
r
e
d
,
m
a
g
m
a
t
i
c
s
y
s
t
e
m
p
r
i
o
r
t
o
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
V
a
r
i
o
u
s
m
i
n
e
r
a
l
p
h
a
s
e
s
i
n
e
a
c
h
m
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
i
.
e
.
b
i
o
t
i
t
e
o
r
p
l
a
g
i
o
c
l
a
s
e
f
e
l
d
s
p
a
r
1
9
9
e
x
h
i
b
i
t
g
r
a
d
u
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
c
h
a
n
g
e
s
a
s
t
h
e
m
a
g
m
a
c
o
m
p
o
s
i
t
i
o
n
e
v
o
l
v
e
s
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
T
h
e
p
h
e
n
o
c
r
y
s
t
s
d
o
n
o
t
r
e
v
e
a
l
a
n
y
s
h
a
r
p
d
i
f
f
e
r
e
n
c
e
s
i
n
c
o
m
p
o
s
i
t
i
o
n
a
c
r
o
s
s
t
h
e
g
e
o
c
h
e
m
i
c
a
l
g
a
p
s
.
G
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
o
f
t
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
a
l
s
o
i
n
d
i
c
a
t
e
g
r
a
d
u
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
c
h
a
n
g
e
s
f
r
o
m
t
h
e
m
a
f
i
c
t
o
f
e
l
s
i
c
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
.
C
o
m
p
o
s
i
t
e
h
i
s
t
o
g
r
a
m
s
f
o
r
t
h
e
p
h
e
n
o
c
r
y
s
t
d
a
t
a
d
o
i
n
m
a
n
y
c
a
s
e
s
r
e
v
e
a
l
b
i
m
o
d
a
l
t
o
t
r
i
m
o
d
a
l
p
h
e
n
o
c
r
y
s
t
p
o
p
u
l
a
t
i
o
n
s
.
T
h
e
m
o
d
a
l
p
o
p
u
l
a
t
i
o
n
s
a
r
e
i
n
t
e
r
p
r
e
t
e
d
h
e
r
e
t
o
r
e
p
r
e
s
e
n
t
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
t
h
a
t
w
e
r
e
p
r
e
s
e
n
t
i
n
t
h
e
o
r
i
g
i
n
a
l
m
a
g
m
a
b
o
d
i
e
s
.
R
e
e
q
u
i
l
i
b
r
a
t
i
o
n
o
f
t
h
e
p
h
e
n
o
c
r
y
s
t
s
,
m
o
d
i
f
i
c
a
t
i
o
n
o
f
t
h
e
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
b
y
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
,
a
s
s
i
m
i
l
a
t
i
o
n
a
n
d
p
o
s
s
i
b
l
e
m
a
g
m
a
m
i
x
i
n
g
b
l
u
r
r
e
d
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
b
o
u
n
d
a
r
i
e
s
b
e
t
w
e
e
n
t
h
e
m
a
g
m
a
b
o
d
i
e
s
r
e
s
u
l
t
i
n
g
i
n
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
t
h
a
t
u
n
d
e
r
c
u
r
s
o
r
y
e
x
a
m
i
n
a
t
i
o
n
n
o
w
a
p
p
e
a
r
s
t
o
h
a
v
e
b
e
e
n
c
o
n
t
i
n
u
o
u
s
l
y
z
o
n
e
d
.
T
h
e
g
e
o
t
h
e
r
m
o
m
e
t
r
i
c
d
a
t
a
d
o
n
o
t
r
e
v
e
a
l
a
n
y
t
h
e
r
m
a
l
d
i
s
c
o
n
t
i
n
u
i
t
i
e
s
f
o
r
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
o
n
e
i
t
h
e
r
s
i
d
e
o
f
t
h
e
g
e
o
c
h
e
m
i
c
a
l
g
a
p
s
.
T
h
i
s
i
s
i
n
t
e
r
p
r
e
t
e
d
t
o
s
i
g
n
i
f
y
t
h
a
t
a
l
o
n
g
e
n
o
u
g
h
p
e
r
i
o
d
o
f
t
i
m
e
m
u
s
t
h
a
v
e
e
l
a
p
s
e
d
s
u
c
h
t
h
a
t
t
h
e
t
e
m
p
e
r
a
t
u
r
e
g
r
a
d
i
e
n
t
,
a
s
r
e
f
l
e
c
t
e
d
b
y
t
h
e
F
e
-
T
i
o
x
i
d
e
c
o
m
p
o
s
i
t
o
n
s
,
r
e
e
q
u
i
l
i
b
r
a
t
e
d
t
o
t
h
e
n
e
w
m
a
g
m
a
t
i
c
c
o
n
f
i
g
u
r
a
t
i
o
n
.
T
h
e
o
r
i
g
i
n
o
f
t
h
e
m
a
g
m
a
s
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
s
y
s
t
e
m
a
p
p
e
a
r
s
t
o
h
a
v
e
b
e
e
n
t
h
e
r
e
s
u
l
t
o
f
s
e
v
e
r
a
l
2
0
0
p
r
o
c
e
s
s
e
s
.
C
o
m
p
a
r
i
s
o
n
a
n
d
a
n
a
l
y
s
i
s
o
f
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
u
s
i
n
g
r
a
t
i
o
p
l
o
t
s
o
f
i
n
c
o
m
p
a
t
i
b
l
e
e
l
e
m
e
n
t
s
f
o
r
t
r
a
c
h
y
a
n
d
e
s
i
t
e
s
a
n
d
t
r
a
c
h
y
d
a
c
i
t
e
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
a
n
d
t
h
o
s
e
o
f
t
h
e
1
2
.
9
t
o
1
3
.
4
m
i
l
l
i
o
n
y
e
a
r
o
l
d
P
a
i
n
t
b
r
u
s
h
T
u
f
f
i
n
d
i
c
a
t
e
t
h
a
t
t
h
e
m
a
f
i
c
m
a
g
m
a
s
o
r
i
g
i
n
a
t
e
d
f
r
o
m
e
i
t
h
e
r
d
i
f
f
e
r
e
n
t
d
e
g
r
e
e
s
o
f
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
t
h
e
s
a
m
e
c
r
u
s
t
a
l
s
o
u
r
c
e
r
o
c
k
,
o
r
,
f
o
r
m
e
d
f
r
o
m
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
e
t
e
r
o
g
e
n
e
o
u
s
c
r
u
s
t
a
l
s
o
u
r
c
e
r
o
c
k
s
.
T
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
f
r
o
m
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
r
a
c
h
y
d
a
c
i
t
e
h
o
w
e
v
e
r
,
c
a
n
b
e
e
x
p
l
a
i
n
e
d
b
y
t
h
e
f
r
a
c
t
i
o
n
a
t
i
o
n
o
f
p
h
e
n
o
c
r
y
s
t
p
h
a
s
e
s
o
b
s
e
r
v
e
d
w
i
t
h
i
n
t
h
e
t
u
f
f
s
b
a
s
e
d
o
n
t
h
e
s
e
r
a
t
i
o
p
l
o
t
s
.
T
h
u
s
t
h
e
p
o
s
s
i
b
i
l
i
t
y
t
h
a
t
t
h
e
r
e
w
a
s
a
c
o
m
m
o
n
t
r
a
c
h
y
a
n
d
e
s
i
t
i
c
p
a
r
e
n
t
a
l
m
a
g
m
a
b
o
d
y
w
h
i
c
h
c
o
n
t
i
n
u
o
u
s
l
y
s
u
p
p
l
i
e
d
m
a
g
m
a
t
o
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
a
n
d
P
a
i
n
t
b
r
u
s
h
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
c
a
n
b
e
r
u
l
e
d
o
u
t
b
a
s
e
d
o
n
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
e
v
i
d
e
n
c
e
.
W
i
t
h
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
m
a
g
m
a
t
i
c
s
y
s
t
e
m
,
a
n
d
f
o
r
e
a
c
h
m
e
m
b
e
r
,
p
e
t
r
o
g
e
n
e
t
i
c
m
o
d
e
l
l
i
n
g
u
s
i
n
g
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
a
n
d
a
s
s
i
m
i
l
a
t
i
o
n
g
a
v
e
m
i
x
e
d
r
e
s
u
l
t
s
f
o
r
t
h
e
o
r
i
g
i
n
o
f
t
h
e
m
o
r
e
e
v
o
l
v
e
d
t
r
a
c
h
y
d
a
c
i
t
i
c
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
m
a
g
m
a
s
.
I
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
,
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
c
a
n
n
o
t
b
e
u
s
e
d
t
o
e
x
p
l
a
i
n
t
h
e
o
b
s
e
r
v
e
d
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
.
T
h
e
l
a
c
k
o
f
s
p
e
c
i
f
i
c
d
i
s
t
r
i
b
u
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
(
K
D
)
f
o
r
t
h
e
v
a
r
i
o
u
s
m
i
n
e
r
a
l
p
h
a
s
e
s
p
r
e
s
e
n
t
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
m
a
g
m
a
t
i
c
s
y
s
t
e
m
,
a
n
d
r
e
l
i
a
n
c
e
o
n
p
u
b
l
i
s
h
e
d
K
D
v
a
l
u
e
s
f
o
r
o
t
h
e
r
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
2
0
1
f
o
r
t
h
e
m
o
d
e
l
l
i
n
g
,
m
a
y
h
a
v
e
c
o
n
t
r
i
b
u
t
e
d
t
o
t
h
e
d
i
f
f
i
c
u
l
t
y
i
n
p
r
o
d
u
c
i
n
g
v
i
a
b
l
e
p
e
t
r
o
g
e
n
e
t
i
c
m
o
d
e
l
s
,
i
f
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
w
a
s
t
h
e
d
o
m
i
n
a
n
t
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
p
r
o
c
e
s
s
a
c
t
i
n
g
o
n
t
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
.
R
o
s
e
(
1
9
8
8
)
h
o
w
e
v
e
r
w
a
s
a
b
l
e
t
o
m
o
d
e
l
t
h
e
o
b
s
e
r
v
e
d
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
b
y
u
s
i
n
g
b
o
t
h
a
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
m
o
d
e
l
a
n
d
a
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
/
m
a
g
m
a
m
i
x
i
n
g
m
o
d
e
l
.
R
o
s
e
(
1
9
8
8
)
p
r
e
f
e
r
r
e
d
t
h
e
f
r
a
c
t
i
o
n
a
t
i
o
n
/
m
i
x
i
n
g
m
o
d
e
l
a
s
i
t
b
e
s
t
e
x
p
l
a
i
n
s
t
h
e
p
r
e
s
e
n
c
e
o
f
u
b
i
q
u
i
t
o
u
s
d
i
s
e
q
u
i
l
i
b
r
i
u
m
p
h
e
n
o
c
r
y
s
t
s
.
A
l
t
h
o
u
g
h
t
h
i
s
m
o
d
e
l
i
s
p
e
r
m
i
s
s
i
v
e
,
i
t
i
s
p
r
e
f
e
r
r
e
d
i
n
t
h
i
s
s
t
u
d
y
t
o
c
a
l
l
u
p
o
n
t
h
e
m
o
d
e
l
w
h
e
r
e
o
r
i
g
i
n
a
l
l
y
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
d
i
s
c
r
e
t
e
m
a
g
m
a
b
a
t
c
h
e
s
w
e
r
e
m
o
d
i
f
i
e
d
i
n
t
e
r
n
a
l
l
y
b
y
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
,
a
s
s
i
m
i
l
a
t
i
o
n
a
n
d
i
n
p
u
t
o
f
n
e
w
m
a
g
m
a
w
h
i
c
h
e
x
p
a
n
d
e
d
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
r
a
n
g
e
o
f
e
a
c
h
m
a
g
m
a
b
a
t
c
h
.
S
o
m
e
m
i
x
i
n
g
m
a
y
h
a
v
e
o
c
c
u
r
r
e
d
u
p
o
n
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
t
o
f
o
r
m
s
o
m
e
o
f
t
h
e
i
n
t
e
r
m
e
d
i
a
t
e
m
a
g
m
a
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
h
o
w
e
v
e
r
,
c
u
r
r
e
n
t
m
o
d
e
l
l
i
n
g
h
a
s
b
e
e
n
i
n
c
o
n
c
l
u
s
i
v
e
.
P
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
c
r
u
s
t
a
l
r
o
c
k
w
a
s
p
r
o
b
a
b
l
y
r
e
s
p
o
n
s
i
b
l
e
f
o
r
t
h
e
f
o
r
m
a
t
i
o
n
o
f
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
b
a
s
e
d
o
n
t
h
e
h
i
g
h
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
t
r
a
c
e
e
l
e
m
e
n
t
s
,
p
a
r
t
i
c
u
l
a
r
l
y
T
h
,
N
b
a
n
d
R
b
.
C
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
o
f
a
m
o
r
e
m
a
f
i
c
m
a
g
m
a
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
c
o
u
l
d
n
o
t
p
r
o
d
u
c
e
t
h
e
o
b
s
e
r
v
e
d
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
t
h
e
t
h
e
s
e
e
l
e
m
e
n
t
s
i
n
t
h
i
s
2
0
2
p
a
r
t
i
c
u
l
a
r
r
h
y
o
l
i
t
e
.
T
r
a
c
e
e
l
e
m
e
n
t
s
i
g
n
a
t
u
r
e
s
o
n
r
a
r
e
-
e
a
r
t
h
e
1
e
m
e
n
t
p
l
o
t
s
,
S
p
i
d
e
r
g
r
a
m
s
a
n
d
e
n
r
i
c
h
m
e
n
t
d
i
a
g
r
a
m
s
i
n
d
i
c
a
t
e
t
h
a
t
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
s
s
i
m
i
l
a
r
t
o
,
b
u
t
n
o
t
c
o
m
a
g
m
a
t
i
c
w
i
t
h
,
t
h
e
h
i
g
h
-
N
b
,
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T
h
u
s
i
t
i
s
i
n
t
e
r
p
r
e
t
e
d
h
e
r
e
t
h
a
t
t
h
e
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
m
o
s
t
l
i
k
e
l
y
r
e
p
r
e
s
e
n
t
s
a
n
u
n
k
n
o
w
n
a
m
o
u
n
t
o
f
r
e
s
i
d
u
a
l
m
a
g
m
a
f
r
o
m
t
h
e
R
a
i
n
i
e
r
M
e
s
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
(
a
s
e
v
i
d
e
n
c
e
d
b
y
t
h
e
T
h
a
n
d
Y
b
t
r
a
c
e
e
l
e
m
e
n
t
d
a
t
a
f
o
r
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
)
,
c
o
n
t
i
n
u
e
d
m
a
g
m
a
t
i
c
i
n
p
u
t
f
r
o
m
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
c
r
u
s
t
a
l
m
a
t
e
r
i
a
l
a
n
d
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
.
G
e
o
b
a
r
o
m
e
t
r
i
c
d
a
t
a
d
e
t
e
r
m
i
n
e
d
b
y
t
w
o
s
e
p
a
r
a
t
e
m
e
t
h
o
d
s
i
n
d
i
c
a
t
e
s
a
r
a
n
g
e
i
n
t
h
e
e
q
u
i
l
i
b
r
i
u
m
p
r
e
s
s
u
r
e
o
f
p
h
e
n
o
c
r
y
s
t
f
o
r
m
a
t
i
o
n
f
r
o
m
2
k
b
a
r
s
t
o
6
k
b
a
r
s
(
H
a
m
m
a
r
s
t
r
o
m
a
n
d
Z
e
n
(
1
9
8
6
)
a
m
p
h
i
b
o
l
e
-
q
u
a
r
t
z
g
e
o
b
a
r
o
m
e
t
e
r
;
3
.
9
t
o
4
.
8
k
b
a
r
s
f
o
r
r
h
y
o
l
i
t
e
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
:
S
t
o
r
m
e
r
a
n
d
W
h
i
t
n
e
y
(
1
9
8
5
)
t
w
o
f
e
l
d
s
p
a
r
/
F
e
-
T
i
o
x
i
d
e
g
e
o
b
a
r
o
m
e
t
e
r
;
2
k
b
a
r
s
t
o
6
k
b
a
r
s
f
o
r
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
)
.
F
r
o
m
t
h
i
s
d
a
t
a
i
t
i
s
i
n
t
e
r
p
r
e
t
e
d
t
h
a
t
p
h
e
n
o
c
r
y
s
t
s
i
n
m
a
g
m
a
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
e
r
e
a
t
e
q
u
i
l
i
b
r
i
u
m
a
t
a
m
i
d
-
c
r
u
s
t
a
l
l
e
v
e
l
.
M
e
a
s
u
r
e
d
H
2
0
a
n
d
C
0
2
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
m
e
l
t
i
n
c
l
u
s
i
o
n
s
i
n
f
e
l
d
s
p
a
r
a
n
d
q
u
a
r
t
z
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
i
n
d
i
c
a
t
e
t
h
a
t
t
r
a
c
h
y
d
a
c
i
t
i
c
m
a
g
m
a
(
6
4
w
t
%
S
i
0
2
)
c
o
n
t
a
i
n
e
d
h
i
g
h
e
r
i
n
i
t
i
a
l
H
2
0
a
n
d
C
0
2
c
o
n
t
e
n
t
s
2
0
3
t
h
a
n
t
h
e
m
o
r
e
s
i
l
i
c
i
c
t
r
a
c
h
y
d
a
c
i
t
i
c
(
6
7
w
t
%
S
i
O
Z
)
a
n
d
r
h
y
o
l
i
t
i
c
m
a
g
m
a
(
7
0
w
t
%
S
i
0
2
)
.
T
h
e
m
o
r
e
m
a
f
i
c
a
n
d
v
o
l
a
t
i
l
e
-
r
i
c
h
t
r
a
c
h
y
d
a
c
i
t
i
c
m
a
g
m
a
f
o
l
l
o
w
e
d
a
s
e
p
a
r
a
t
e
d
e
g
a
s
s
i
n
g
p
a
t
h
t
h
a
n
t
h
e
l
e
s
s
v
o
l
a
t
i
l
e
-
r
i
c
h
,
m
o
r
e
s
i
l
i
c
i
c
t
r
a
c
h
y
d
a
c
i
t
e
a
n
d
r
h
y
o
l
i
t
e
,
i
n
d
i
c
a
t
i
n
g
t
h
a
t
t
h
e
p
a
r
e
n
t
a
l
m
a
g
m
a
b
o
d
y
w
a
s
z
o
n
e
d
w
i
t
h
r
e
s
p
e
c
t
t
o
H
2
0
a
n
d
C
0
2
.
P
r
e
l
i
m
i
n
a
r
y
H
2
0
a
n
d
C
0
2
d
a
t
a
f
o
r
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
i
n
d
i
c
a
t
e
s
t
h
a
t
t
h
e
t
r
a
c
h
y
a
n
d
e
s
i
t
i
c
t
o
t
r
a
c
h
y
d
a
c
i
t
i
c
m
a
g
m
a
s
w
e
r
e
i
n
d
e
p
e
n
d
e
n
t
l
y
z
o
n
e
d
w
i
t
h
r
e
s
p
e
c
t
t
o
t
h
e
r
h
y
o
l
i
t
i
c
m
a
g
m
a
s
.
T
h
i
s
t
y
p
e
o
f
z
o
n
a
t
i
o
n
w
o
u
l
d
s
u
p
p
o
r
t
t
h
e
m
o
d
e
l
o
f
a
n
i
n
d
e
p
e
n
d
e
n
t
s
o
u
r
c
e
f
o
r
e
a
c
h
m
a
g
m
a
b
a
t
c
h
.
T
h
e
d
i
s
t
r
i
b
u
t
i
o
n
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
e
t
e
r
o
g
e
n
e
o
u
s
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
i
t
h
i
n
t
h
e
a
s
h
-
f
l
o
w
s
h
e
e
t
s
i
s
c
o
n
s
i
s
t
e
n
t
w
i
t
h
t
h
e
e
r
u
p
t
i
o
n
d
y
n
a
m
i
c
m
o
d
e
l
s
o
f
B
l
a
k
e
a
n
d
I
v
e
y
(
1
9
8
6
)
f
o
r
d
e
n
s
i
t
y
a
n
d
v
i
s
c
o
s
i
t
y
s
t
r
a
t
i
f
i
e
d
m
a
g
m
a
b
o
d
i
e
s
.
T
h
u
s
,
i
n
c
o
n
c
l
u
s
i
o
n
,
t
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
t
h
a
t
e
r
u
p
t
e
d
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
i
n
i
t
i
a
l
l
y
f
o
r
m
e
d
b
y
c
o
a
l
a
s
c
e
n
c
e
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
h
e
t
e
r
o
g
e
n
e
o
u
s
m
a
g
m
a
b
o
d
i
e
s
w
h
i
c
h
o
r
i
g
i
n
a
t
e
d
f
r
o
m
t
h
e
p
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
l
o
w
e
r
t
o
m
i
d
-
c
r
u
s
t
a
l
r
o
c
k
.
T
h
e
i
n
i
t
i
a
l
d
o
m
i
n
a
n
t
v
o
l
u
m
e
m
a
g
m
a
b
o
d
y
w
a
s
l
a
y
e
r
e
d
f
r
o
m
a
b
a
s
a
l
t
r
a
c
h
y
a
n
d
e
s
i
t
e
t
o
t
r
a
c
h
y
d
a
c
i
t
e
t
o
a
n
i
n
t
e
r
m
e
d
i
a
t
e
t
r
a
c
h
y
d
a
c
i
t
e
t
o
r
h
y
o
l
i
t
e
t
o
a
n
u
p
p
e
r
r
h
y
o
l
i
t
e
t
o
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
.
A
p
r
o
l
o
n
g
e
d
r
e
s
i
d
e
n
c
e
t
i
m
e
o
f
t
h
e
l
a
y
e
r
e
d
m
a
g
m
a
b
o
d
y
a
t
a
m
i
d
-
c
r
u
s
t
a
l
l
e
v
e
l
a
l
l
o
w
e
d
e
a
c
h
o
f
t
h
e
s
e
l
a
y
e
r
s
t
o
b
e
c
o
m
e
c
h
e
m
i
c
a
l
l
y
,
m
i
n
e
r
a
l
o
g
i
c
a
l
l
y
a
n
d
t
h
e
r
m
a
l
l
y
m
o
d
i
f
i
e
d
t
h
r
o
u
g
h
f
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
a
n
d
2
0
4
a
s
s
i
m
i
l
a
t
i
o
n
o
f
w
a
l
l
r
o
c
k
.
P
a
r
t
i
a
l
m
e
l
t
i
n
g
o
f
u
p
p
e
r
c
r
u
s
t
a
l
r
o
c
k
m
a
y
h
a
v
e
b
e
e
n
r
e
s
p
o
n
s
i
b
l
e
f
o
r
f
o
r
m
i
n
g
a
s
e
c
o
n
d
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
m
a
g
m
a
i
n
c
l
o
s
e
p
r
o
x
i
m
i
t
y
t
o
t
h
e
d
o
m
i
n
a
n
t
v
o
l
u
m
e
c
h
a
m
b
e
r
.
T
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
j
u
s
t
p
r
i
o
r
t
o
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
m
o
r
e
c
l
o
s
e
l
y
r
e
s
e
m
b
l
e
d
a
c
h
e
m
i
c
a
l
l
y
,
m
i
n
e
r
a
l
o
g
i
c
a
l
l
y
a
n
d
t
h
e
r
m
a
l
l
y
z
o
n
e
d
s
y
s
t
e
m
.
R
e
l
i
c
t
l
a
y
e
r
i
n
g
o
f
t
h
e
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
a
s
r
e
f
l
e
c
t
e
d
i
n
t
h
e
v
o
l
a
t
i
l
e
g
r
a
d
i
e
n
t
s
,
g
e
o
c
h
e
m
i
c
a
l
c
o
m
p
o
s
i
t
i
o
n
a
l
g
a
p
s
,
b
i
m
o
d
a
l
t
o
t
r
i
m
o
d
a
l
p
h
e
n
o
c
r
y
S
t
p
o
p
u
l
a
t
i
o
n
s
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
p
a
r
t
i
t
i
o
n
i
n
g
.
I
n
j
e
c
t
i
o
n
o
f
n
e
w
m
o
r
e
m
a
f
i
c
m
a
g
m
a
m
a
y
h
a
v
e
t
r
i
g
g
e
r
e
d
t
h
e
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
I
n
c
o
m
p
l
e
t
e
e
v
a
c
u
a
t
i
o
n
o
f
t
h
e
d
o
m
i
n
a
n
t
v
o
l
u
m
e
c
h
a
m
b
e
r
(
a
n
d
p
e
r
h
a
p
s
t
h
e
s
e
c
o
n
d
a
r
y
h
i
g
h
—
s
i
l
i
c
a
r
h
y
o
l
i
t
e
c
h
a
m
b
e
r
)
,
i
n
p
u
t
o
f
n
e
w
m
a
f
i
c
m
a
g
m
a
a
n
d
w
a
l
l
r
o
c
k
a
s
s
i
m
i
l
a
t
i
o
n
r
e
s
u
l
t
e
d
i
n
t
h
e
f
o
r
m
a
t
i
o
n
o
f
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
w
h
i
c
h
q
u
i
c
k
l
y
r
e
e
s
t
a
b
l
i
s
h
e
d
c
h
e
m
i
c
a
l
,
m
i
n
e
r
a
l
o
g
i
c
a
l
,
t
h
e
r
m
a
l
a
n
d
v
o
l
a
t
i
l
e
g
r
a
d
i
e
n
t
s
.
C
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
,
a
s
s
i
m
i
l
a
t
i
o
n
a
n
d
p
o
s
s
i
b
l
e
m
a
g
m
a
m
i
x
i
n
g
f
r
o
m
e
r
u
p
t
i
o
n
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
c
o
n
t
i
n
u
e
d
t
o
m
o
d
i
f
y
t
h
e
m
a
g
m
a
t
i
c
c
o
m
p
o
s
i
t
i
o
n
s
p
r
e
s
e
n
t
i
n
t
h
e
c
h
a
m
b
e
r
r
e
s
u
l
t
i
n
g
i
n
s
l
i
g
h
t
l
y
d
i
f
f
e
r
e
n
t
m
i
n
e
r
a
l
a
s
s
e
m
b
l
a
g
e
s
,
g
e
o
c
h
e
m
i
c
a
l
m
a
k
e
u
p
a
n
d
t
h
e
r
m
a
l
a
n
d
v
o
l
a
t
i
l
e
g
r
a
d
i
e
n
t
s
.
E
i
t
h
e
r
v
o
l
a
t
i
l
e
e
x
s
o
l
u
t
i
o
n
o
r
i
n
p
u
t
o
f
n
e
w
m
a
g
m
a
o
r
b
o
t
h
r
e
s
u
l
t
e
d
i
n
e
r
u
p
t
i
o
n
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
E
r
u
p
t
i
o
n
o
f
b
o
t
h
m
e
m
b
e
r
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
p
r
o
b
a
b
l
y
d
i
d
n
o
t
o
c
c
u
r
a
s
s
i
m
p
l
e
v
e
r
t
i
c
a
l
d
r
a
w
d
o
w
n
o
f
m
a
g
m
a
f
r
o
m
t
h
e
c
h
a
m
b
e
r
,
b
u
t
2
0
5
f
r
o
m
a
m
o
r
e
c
o
m
p
l
e
x
p
r
o
c
e
s
s
o
f
a
r
a
p
i
d
l
y
g
r
o
w
i
n
g
,
s
p
h
e
r
i
c
a
l
e
v
a
c
u
a
t
i
o
n
f
r
o
n
t
a
s
e
v
i
d
e
n
c
e
d
b
y
s
t
r
a
t
i
g
r
a
p
h
i
c
,
p
u
m
i
c
e
f
r
a
g
m
e
n
t
c
o
m
p
o
s
i
t
i
o
n
a
l
h
e
t
e
r
o
g
e
n
e
i
t
y
i
n
t
h
e
a
s
h
-
f
l
o
w
t
u
f
f
s
.
M

i

L

h
n

c
U

I

i

i

B
g

v

R

a

e

r

n

A

s

R

S

Y
t

i

t

y

a

t

e

B

e

t

u

O

r

X

n

o

o

o

t

n

D

o

f

e

r

r

A

e

b

m

T

v
o

E

e

r

e

t

h

d

i
a

D

e

u

c

e

k

.

c

e

s

t

U

h

d

E

o

u

t

f

r

o

m

y

o

u

r

r

e

c

o

r

d

.

D

A

T

E

D

U

E

m

t

r

m

a

t

i

v

e

A

c

?

i

o

n

/

E

q

u

a

l

O

p

p

o

r

t

u

n

i

t

y

I

n

s

t

i

t

u

t

i

o

n

P

T

'

L

O

A

A

D

C

V

A

'

E

O

I

I

N
D

R

F

E

I

T

N

U

E

R

S

T

E

D

U

M

S

U

i

s

A

n

A

f

f

N

r

E

W

i

 
 
fl
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
c
m
m
n
t
u
g
h
-
n
n
T
H
E
T
I
M
B
E
R
.
M
D
U
N
T
A
I
N
T
U
F
F
,
S
O
U
T
H
W
E
S
T
E
R
N
N
E
V
I
D
A
.
V
O
L
C
A
N
I
C
F
I
E
L
D
:
G
E
O
C
H
E
M
I
S
T
R
X
,
M
I
N
E
R
A
L
O
G
Y
A
N
D
P
E
T
R
O
G
E
N
E
S
I
S
V
b
l
u
m
e
I
I
B
Y
J
a
m
e
s
G
o
r
d
o
n
M
i
l
l
s
,
J
r
.
A
D
I
S
S
E
R
T
A
T
I
O
N
S
u
b
m
i
t
t
e
d
t
o
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
i
n
p
a
r
t
i
a
l
f
u
l
f
i
l
l
m
e
n
t
o
f
t
h
e
r
e
q
u
i
r
e
m
e
n
t
s
f
o
r
t
h
e
d
e
g
r
e
e
o
f
D
O
C
T
O
R
O
F
P
H
I
L
O
S
O
P
H
Y
D
e
p
a
r
t
m
e
n
t
o
f
G
e
o
l
o
g
i
c
a
l
S
c
i
e
n
c
e
s
1
9
9
1
A
P
P
E
N
D
I
C
E
S
A
P
P
E
N
D
I
X
1
D
e
s
c
r
i
p
t
i
o
n
o
f
S
a
m
p
l
i
n
g
L
o
c
a
t
i
o
n
s
2
0
6
 
 
2
.
4
k
m
(
1
.
5
m
i
l
e
s
)
N
W
o
f
d
r
i
l
l
h
o
l
e
U
E
-
1
9
c
.
A
p
p
e
n
d
i
x
1
.
L
o
c
a
t
i
o
n
s
o
f
s
a
m
p
l
e
s
c
o
l
l
e
c
t
e
d
f
r
o
m
t
h
e
T
u
b
e
'
1
:
M
o
u
n
t
a
i
n
T
u
f
f
.
s
m
m
s
l
3
m
m
a
I
c
L
O
C
A
T
I
O
N
u
s
e
s
I
N
T
E
R
V
A
L
i
M
A
P
I
i
8
-
1
t
o
R
8
-
1
9
L
R
M
S
o
u
t
h
e
a
s
t
R
a
i
n
i
e
r
M
e
s
a
,
I
-
7
5
4
I
i
8
-
2
0
t
o
R
8
-
3
1
V
R
M
A
r
e
a
1
2
,
N
.
R
a
i
n
i
e
r
M
e
s
a
R
d
.
,
1
(
8
-
3
2
t
o
R
8
-
4
9
U
R
M
0
.
5
k
m
(
0
.
4
5
m
i
l
e
s
)
d
u
e
e
a
s
t
o
f
d
r
i
l
l
h
o
l
e
U
E
t
h
—
l
.
L
a
t
i
t
u
d
e
:
3
7
°
1
3
'
0
8
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
1
0
'
1
1
.
5
"
f
i
l
l
-
1
t
o
R
1
1
-
2
3
U
R
M
N
e
a
r
T
e
s
t
W
e
l
l
#
8
(
G
T
W
-
B
)
,
G
Q
-
6
3
8
0
.
3
5
k
m
(
0
.
2
5
m
i
l
e
s
)
N
E
o
f
G
T
W
-
B
(
m
a
p
p
e
d
a
s
T
m
f
)
.
L
a
t
i
t
u
d
e
:
3
7
°
1
0
'
0
2
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
1
7
'
1
0
"
R
1
8
-
1
t
o
R
1
8
-
1
7
L
R
M
S
i
l
e
n
t
B
u
t
t
e
a
r
e
a
,
A
r
e
a
1
9
G
Q
-
4
9
3
R
1
8
-
1
8
t
o
R
1
8
-
2
4
V
R
M
S
i
t
e
o
v
e
r
l
o
o
k
s
S
i
l
e
n
t
C
a
n
y
o
n
.
L
a
t
i
t
u
d
e
:
3
7
°
1
9
'
3
3
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
2
3
'
5
3
"
R
2
1
-
1
t
o
R
2
1
-
l
6
U
R
M
E
c
h
o
P
e
a
k
R
d
.
,
S
o
u
t
h
S
i
l
e
n
t
G
Q
-
6
1
4
R
2
1
-
2
7
C
a
n
y
o
n
,
A
r
e
a
1
9
.
A
2
1
-
1
7
t
o
A
2
1
—
2
6
L
A
T
?
L
a
t
i
t
u
d
e
:
3
7
°
1
5
'
3
2
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
2
0
'
5
1
"
R
2
1
-
2
8
t
o
R
2
1
-
3
0
U
R
M
L
a
t
i
t
u
d
e
:
3
7
0
1
5
'
0
8
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
2
1
'
0
8
"
R
2
1
-
3
1
t
o
R
2
1
-
4
4
U
R
M
L
a
t
i
t
u
d
e
:
3
7
0
1
5
'
3
2
"
L
o
n
g
i
t
u
d
e
:
1
1
6
0
2
0
'
5
1
"
R
2
3
—
1
t
o
R
2
3
-
2
7
U
R
M
P
a
h
u
t
e
M
e
s
a
R
d
.
,
A
r
e
a
1
9
G
Q
-
6
1
4
 
T
a
n
k
s
 
L
a
t
i
t
u
d
e
:
3
7
°
1
6
'
5
2
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
2
0
'
3
2
"
1
N
o
t
a
l
l
s
a
m
p
l
e
s
c
h
e
m
i
c
a
l
l
y
a
n
a
l
y
z
e
d
2
L
R
M
=
L
o
w
e
r
R
a
i
n
i
e
r
M
e
s
a
M
b
r
.
V
R
M
=
V
i
t
r
o
p
h
y
r
e
,
R
a
i
n
i
e
r
M
e
s
a
M
b
r
.
U
R
M
=
U
p
p
e
r
R
a
i
n
i
e
r
M
e
s
a
M
b
r
.
L
A
T
=
L
o
w
e
r
A
m
m
o
n
i
a
T
a
n
k
s
M
b
r
.
M
A
T
=
M
i
d
d
l
e
A
m
m
o
n
i
a
T
a
n
k
s
M
b
r
.
U
A
T
=
U
p
p
e
r
A
m
m
o
n
i
a
 
 
A
p
p
e
n
d
i
x
1
.
C
o
n
t
i
n
u
e
d
.
2
0
7
 
:
s
z
u
u
m
e
s
l
S
T
R
A
I
I
H
I
C
I
N
T
E
R
V
A
L
L
O
C
A
T
I
O
N
U
S
G
S
 
A
4
-
3
8
t
o
A
5
-
l
4
t
o
A
5
-
2
1
t
o
A
5
-
4
1
t
o
A
5
-
5
6
t
o
A
5
-
6
9
t
o
R
2
5
-
1
t
o
R
2
5
-
2
1
R
2
6
-
3
t
o
R
2
6
-
1
1
R
2
6
-
1
2
t
o
R
2
6
-
2
4
A
4
-
l
t
o
A
4
-
3
7
A
4
-
8
5
A
S
-
l
t
o
A
5
—
1
3
A
5
-
2
0
A
5
-
4
0
A
5
-
5
5
A
5
-
6
8
A
5
-
8
4
U
R
M
U
R
M
L
R
M
L
A
T
U
A
T
L
A
T
L
A
T
L
A
T
M
A
T
U
A
T
U
A
T
(
1
)
3
(
1
0
)
<
3
0
)
<
5
0
)
(
9
0
)
(
1
0
0
)
S
E
o
f
i
n
t
e
r
s
e
c
t
i
o
n
o
f
G
Q
-
4
9
3
P
a
h
u
t
e
M
e
s
a
R
d
.
a
n
d
R
o
a
d
1
9
-
0
3
,
A
r
e
a
1
9
.
W
e
s
t
s
i
d
e
o
f
r
o
a
d
o
n
b
u
l
l
d
o
z
e
d
e
q
u
i
p
m
e
n
t
p
a
d
.
L
a
t
i
t
u
d
e
:
3
7
°
1
6
'
2
2
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
2
3
'
0
1
"
N
.
B
u
c
k
b
o
a
r
d
M
e
s
a
R
d
.
,
G
Q
-
6
9
5
1
.
5
k
m
(
1
m
i
l
e
)
s
o
u
t
h
o
f
P
a
h
u
t
e
M
e
s
a
R
d
.
j
u
n
c
t
i
o
n
.
E
a
s
t
s
i
d
e
o
f
r
o
a
d
.
L
a
t
i
t
u
d
e
:
3
7
0
1
3
'
3
9
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
2
7
'
0
8
"
N
.
B
u
c
k
b
o
a
r
d
M
e
s
a
R
d
.
2
.
5
k
m
(
1
.
5
m
i
l
e
s
)
s
o
u
t
h
o
f
P
a
h
u
t
e
M
e
s
a
R
d
.
j
u
n
c
t
i
o
n
.
E
a
s
t
s
i
d
e
o
f
r
o
a
d
.
L
a
t
i
t
u
d
e
:
3
7
°
1
3
'
0
0
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
2
7
'
2
1
"
S
i
l
e
n
t
B
u
t
t
e
a
r
e
a
,
A
r
e
a
1
9
G
Q
-
4
9
3
0
.
7
5
k
m
(
0
.
5
m
i
l
e
s
)
n
o
r
t
h
o
n
R
o
a
d
1
9
-
0
3
f
r
o
m
P
a
h
u
t
e
M
e
s
a
R
o
a
d
j
u
n
c
t
i
o
n
.
E
a
s
t
s
i
d
e
o
f
r
o
a
d
.
L
a
t
i
t
u
d
e
:
3
7
°
1
6
'
4
9
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
2
2
'
5
4
"
S
i
l
e
n
t
B
u
t
t
e
a
r
e
a
,
A
r
e
a
1
9
6
0
-
4
9
3
1
.
5
k
m
(
1
m
i
l
e
)
w
e
s
t
o
n
P
a
h
u
t
e
M
e
s
a
R
d
.
f
r
o
m
j
u
n
c
t
i
o
n
w
i
t
h
R
o
a
d
1
9
-
0
3
.
S
o
u
t
h
s
i
d
e
o
f
r
o
a
d
.
L
a
t
i
t
u
d
e
:
3
7
°
1
6
'
1
9
"
L
o
n
g
i
t
u
d
e
:
1
1
6
°
2
4
'
0
1
"
 
 
3
F
e
e
t
a
b
o
v
e
b
a
s
a
l
c
o
n
t
a
c
t
w
i
t
h
b
e
d
d
e
d
a
i
r
-
f
a
l
l
u
n
i
t
 
 
A
P
P
E
N
D
I
X
2
G
e
O
c
h
e
m
i
c
a
l
D
a
t
a
f
o
r
G
l
a
s
s
y
P
u
m
i
c
e
S
a
m
p
l
e
s
;
M
a
j
o
r
a
n
d
T
r
a
c
e
E
l
e
m
e
n
t
s
(
X
R
F
a
n
d
I
N
A
A
)
2
0
8
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
M
a
j
o
r
a
n
d
t
r
a
c
e
e
l
e
m
e
n
t
a
n
a
l
y
s
e
s
o
f
w
h
o
l
e
p
u
m
i
c
e
s
a
m
p
l
e
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
8
-
1
R
8
-
2
R
8
-
3
R
8
-
6
R
8
-
7
R
8
-
9
R
8
-
1
0
R
8
-
1
1
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
7
6
.
0
8
7
5
.
9
9
7
5
.
7
5
7
5
.
8
6
7
6
.
3
0
7
5
.
4
8
7
4
.
6
9
7
3
.
9
3
T
i
O
2
0
.
1
0
0
.
1
1
0
.
1
0
0
.
1
1
0
.
1
1
0
.
1
0
0
.
0
9
0
.
0
9
A
l
fi
h
1
1
.
9
5
1
2
.
0
3
1
1
.
8
9
1
2
.
0
9
1
2
.
0
0
1
2
.
0
9
1
2
.
2
0
1
2
.
4
8
F
e
O
0
.
4
0
0
.
5
2
0
.
5
5
0
.
4
4
0
.
5
8
0
.
5
2
0
.
4
2
0
.
3
9
M
n
O
0
.
0
7
0
.
0
7
0
.
0
6
0
.
0
7
0
.
0
6
0
.
0
7
0
.
0
7
0
.
0
7
M
g
O
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
1
0
.
0
0
0
.
0
0
C
a
O
0
.
4
0
0
.
4
0
0
.
4
8
0
.
4
2
0
.
4
8
0
.
4
3
0
.
4
0
0
.
4
4
N
a
g
)
2
.
9
4
2
.
9
1
2
.
5
2
3
.
0
8
2
.
5
2
2
.
6
9
3
.
4
8
3
.
5
4
K
g
)
5
.
2
9
5
.
3
4
5
.
6
9
5
.
1
6
5
.
7
0
5
.
5
4
5
.
0
4
5
.
0
5
n
g
0
.
0
1
0
.
0
1
0
.
0
1
0
.
0
1
0
.
0
1
0
.
0
1
0
.
0
1
0
.
0
1
T
o
t
a
l
9
7
.
2
4
9
7
.
3
8
9
7
.
0
5
9
7
.
2
4
9
7
.
7
6
9
6
.
9
4
9
6
.
4
0
9
6
.
0
0
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
1
4
.
4
0
7
.
1
0
0
.
5
0
1
0
.
7
0
1
2
.
8
0
7
.
3
0
0
.
0
0
0
.
0
0
N
i
0
.
0
0
0
.
0
0
1
.
9
0
0
.
0
0
1
0
.
0
0
0
.
0
0
0
.
0
0
7
.
4
0
C
u
0
.
0
0
1
0
.
8
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
3
0
.
1
0
3
4
.
3
0
1
6
.
3
0
3
6
.
1
0
1
4
.
8
0
2
8
.
3
0
2
6
.
8
0
1
6
.
9
0
R
b
2
6
5
.
1
2
2
5
8
.
5
6
2
6
4
.
8
0
2
5
7
.
1
6
2
7
1
.
9
0
2
6
6
.
5
0
2
5
5
.
7
2
2
5
9
.
5
0
S
r
2
.
6
7
0
.
0
0
4
.
5
5
0
.
1
9
0
.
0
0
4
.
9
6
3
.
6
5
3
.
4
8
Y
3
0
.
1
1
3
3
.
3
8
3
1
.
3
2
3
1
.
2
8
2
6
.
0
1
3
2
.
0
0
3
2
.
1
0
2
9
.
7
7
Z
r
6
8
.
5
4
8
9
.
2
6
7
3
.
6
4
7
8
.
2
1
8
0
.
1
6
7
0
.
7
8
5
9
.
8
0
6
2
.
0
1
N
b
2
9
.
4
6
2
5
.
7
2
2
6
.
2
6
2
9
.
5
7
2
3
.
8
5
3
0
.
2
5
2
7
.
9
6
2
6
.
7
7
L
a
3
5
.
0
9
2
0
.
1
4
4
1
.
6
6
4
8
.
3
6
2
8
.
1
4
2
2
.
1
9
4
4
.
9
5
1
6
.
4
4
B
a
1
3
2
1
0
0
1
9
0
8
6
1
6
9
8
7
8
8
2
2
9
I
N
A
A
(
P
P
m
)
S
c
3
.
8
2
4
.
2
5
4
.
1
7
4
.
1
4
3
.
3
4
4
.
5
9
4
.
2
1
3
.
7
6
H
f
3
.
5
2
3
.
9
0
3
.
4
4
2
.
6
2
2
.
3
1
2
.
9
0
3
.
2
9
3
.
3
5
T
h
2
5
.
4
6
2
5
.
2
2
2
1
.
8
0
1
6
.
6
4
1
1
.
6
9
1
5
.
5
8
2
2
.
1
4
2
1
.
8
1
L
a
2
1
.
3
6
2
1
.
1
0
2
1
.
3
4
1
9
.
6
4
2
0
.
3
2
2
4
.
1
1
1
8
.
7
2
1
8
.
9
1
C
e
5
1
.
0
6
5
8
.
6
8
4
8
.
8
1
4
4
.
9
1
3
6
.
3
3
4
0
.
0
7
4
4
.
2
0
4
5
.
1
9
S
m
5
.
5
5
6
.
2
6
5
.
7
7
5
.
5
1
5
.
2
2
5
.
5
0
5
.
2
2
5
.
6
0
E
u
0
.
1
2
0
.
1
8
0
.
1
7
0
.
1
4
0
.
1
9
0
.
2
0
0
.
1
2
0
.
1
4
T
b
0
.
6
6
0
.
6
3
0
.
6
1
0
.
5
6
0
.
5
2
0
.
5
5
0
.
6
2
0
.
6
1
Y
b
4
.
3
8
3
.
5
4
2
.
8
1
2
.
8
7
1
.
6
7
2
.
1
5
4
.
0
8
3
.
7
9
L
u
0
.
4
2
0
.
3
6
0
.
3
0
0
.
3
2
0
.
2
4
0
.
2
6
0
.
4
2
0
.
4
1
S
t
r
a
t
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
 
2
0
9
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
8
-
1
4
R
8
-
1
5
R
8
-
1
6
R
8
-
2
0
R
8
-
2
1
R
8
-
2
2
R
8
-
2
3
R
8
-
2
4
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
7
5
.
5
4
7
5
.
4
5
7
3
.
7
7
6
6
.
4
6
6
5
.
7
1
6
3
.
6
1
6
5
.
4
3
6
5
.
5
7
T
i
O
2
0
.
1
0
0
.
1
0
0
.
1
2
0
.
4
3
0
.
4
6
0
.
6
0
0
.
4
9
0
.
4
6
I
U
Q
O
3
1
2
.
2
1
1
2
.
1
6
1
2
.
8
6
1
6
.
0
9
1
6
.
4
5
1
6
.
9
9
1
6
.
6
8
1
6
.
1
0
F
e
O
0
.
4
2
0
.
4
6
0
.
7
4
1
.
8
9
2
.
3
2
2
.
8
8
2
.
2
4
2
.
1
4
M
n
O
0
.
0
7
0
.
0
7
0
.
0
8
0
.
0
8
0
.
0
9
0
.
1
3
0
.
0
8
0
.
0
8
M
9
0
0
.
0
4
0
.
0
0
0
.
5
2
0
.
7
1
0
.
7
4
0
.
9
5
0
.
7
4
0
.
7
1
C
a
O
0
.
4
1
0
.
4
3
0
.
4
1
1
.
6
1
2
.
0
9
2
.
4
0
2
.
0
1
1
.
8
9
N
a
g
)
2
.
7
3
2
.
5
2
2
.
5
1
4
.
3
4
4
.
4
1
4
.
4
4
4
.
2
4
4
.
3
3
K
g
)
5
.
4
1
5
.
8
3
4
.
9
2
5
.
3
8
5
.
1
5
4
.
7
7
5
.
0
9
5
.
3
3
P
fi
k
0
.
0
1
0
.
0
1
0
.
0
2
0
.
1
1
0
.
1
5
0
.
2
2
0
.
1
3
0
.
1
3
T
o
t
a
l
9
6
.
9
4
9
7
.
0
3
9
5
.
9
5
9
7
.
1
0
9
7
.
5
7
9
6
.
9
9
9
7
.
1
3
9
6
.
7
4
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
1
.
4
0
0
.
0
0
2
.
9
0
0
.
4
0
0
.
0
0
0
.
0
0
0
.
4
0
0
.
0
0
N
i
6
.
6
0
0
.
0
0
1
3
.
0
0
0
.
0
0
0
.
0
0
4
.
3
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
5
.
7
0
0
.
0
0
8
.
5
0
0
.
0
0
0
.
0
0
Z
n
1
5
.
9
0
1
8
.
5
0
1
8
6
.
8
0
4
4
.
9
0
5
0
.
2
0
6
6
.
3
0
4
6
.
7
0
4
7
.
9
0
R
b
2
6
1
.
7
8
2
8
1
.
9
5
2
5
2
.
2
1
1
2
5
.
4
3
9
0
.
3
2
1
6
5
.
7
6
9
1
.
4
7
9
8
.
6
0
S
r
0
.
0
0
0
.
0
0
1
4
.
0
9
3
3
5
.
2
4
4
5
3
.
2
5
5
5
9
.
4
0
4
3
8
.
7
0
4
1
4
.
2
2
Y
3
1
.
5
6
2
8
.
0
0
4
5
.
7
7
1
9
.
1
4
2
0
.
8
2
2
4
.
3
4
2
0
.
4
6
2
0
.
9
5
Z
r
7
1
.
8
9
7
2
.
4
3
1
0
7
.
2
2
4
0
7
.
9
9
4
9
7
.
2
5
5
4
7
.
9
3
4
4
7
.
7
1
4
6
1
.
5
2
N
b
2
7
.
6
1
2
4
.
3
2
2
6
.
2
4
1
2
.
1
4
1
6
.
0
3
1
5
.
6
7
1
2
.
5
5
1
6
.
7
5
L
a
1
5
.
2
4
9
.
3
3
3
5
.
8
6
1
2
9
.
5
3
1
1
1
.
0
0
1
2
7
.
8
4
1
1
6
.
5
1
1
2
3
.
3
8
B
a
2
0
3
8
8
2
6
8
1
3
1
9
1
9
0
0
1
9
3
9
1
5
5
1
1
7
1
5
I
N
A
A
(
p
p
m
)
S
c
4
.
1
1
3
.
4
4
3
.
5
6
3
.
7
7
3
.
6
6
3
.
3
5
3
.
3
6
3
.
4
1
H
f
3
.
5
0
3
.
2
7
4
.
0
2
9
.
4
7
1
0
.
9
9
1
2
.
8
1
1
0
.
6
9
1
0
.
0
0
T
h
2
2
.
8
3
2
2
.
7
4
2
4
.
4
3
3
3
.
8
1
2
9
.
0
5
2
5
.
0
4
2
8
.
8
1
3
0
.
5
1
L
a
1
8
.
6
2
1
6
.
9
1
1
6
.
3
4
1
3
2
.
4
0
1
2
5
.
0
2
1
1
4
.
4
5
1
2
1
.
7
9
1
1
8
.
8
0
C
e
4
7
.
7
9
4
8
.
9
7
6
1
.
1
8
2
1
2
.
8
2
1
9
4
.
0
8
1
7
9
.
9
9
1
9
1
.
4
0
1
8
9
.
3
5
S
m
5
.
2
5
5
.
2
9
5
.
8
3
6
.
7
0
7
.
1
6
7
.
1
4
7
.
0
0
6
.
8
3
E
u
0
.
1
7
0
.
1
7
0
.
2
8
1
.
4
9
1
.
8
9
2
.
0
3
1
.
7
7
1
.
5
1
T
b
0
.
6
2
0
.
6
1
0
.
6
3
0
.
6
7
0
.
6
4
0
.
6
2
0
.
6
6
0
.
6
5
Y
b
3
.
8
4
3
.
6
5
3
.
9
9
1
.
9
2
1
.
7
4
2
.
0
4
1
.
9
7
1
.
6
6
L
u
0
.
3
5
0
.
3
6
0
.
4
9
0
.
2
0
0
.
2
0
0
.
2
3
0
.
2
5
0
.
2
1
S
t
r
a
t
1
5
1
5
1
5
7
0
7
0
7
0
7
0
7
0
 
2
1
0
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
8
-
2
5
R
8
-
2
6
R
8
-
2
7
R
8
-
3
2
a
R
8
-
3
2
b
R
8
-
3
5
R
8
-
3
7
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
6
5
.
0
8
6
5
.
8
7
6
5
.
6
3
7
3
.
0
9
7
4
.
2
2
7
5
.
6
2
6
2
.
1
6
T
i
O
2
0
.
4
9
0
.
4
6
0
.
4
7
0
.
2
1
0
.
2
5
0
.
2
0
0
.
7
0
.
A
l
g
h
1
6
.
3
6
1
6
.
2
4
1
6
.
2
2
1
2
.
8
4
1
2
.
3
5
1
1
.
7
2
1
7
.
4
4
F
e
O
2
.
2
8
2
.
1
8
2
.
1
8
0
.
8
6
1
.
0
1
0
.
8
7
3
.
4
1
M
n
O
0
.
0
8
0
.
0
8
0
.
0
8
0
.
0
5
0
.
0
6
0
.
0
4
0
.
0
9
M
g
O
0
.
7
4
0
.
6
8
0
.
6
6
0
.
1
2
0
.
1
5
0
.
0
3
1
.
3
6
C
a
O
1
.
9
9
1
.
9
0
1
.
9
0
0
.
7
9
0
.
8
1
0
.
5
1
3
.
3
1
N
a
g
)
4
.
3
6
4
.
4
0
4
.
3
5
2
.
8
2
2
.
6
7
2
.
1
8
3
.
9
8
K
g
)
5
.
2
6
5
.
3
1
5
.
3
0
5
.
8
5
5
.
6
8
6
.
1
0
4
.
5
6
P
g
h
0
.
1
5
0
.
1
4
0
.
1
4
0
.
0
3
0
.
0
3
0
.
0
2
0
.
2
9
T
o
t
a
l
9
6
.
7
9
9
7
.
2
6
9
6
.
9
3
9
6
.
6
6
9
7
.
2
3
9
7
.
2
9
9
7
.
3
0
X
—
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
P
p
m
)
C
r
0
.
0
0
0
.
0
0
3
.
7
0
7
.
1
0
5
.
4
0
0
.
0
0
3
.
9
0
N
i
7
.
1
0
0
.
0
0
0
.
0
0
1
8
.
9
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
1
.
5
0
0
.
0
0
1
3
.
9
0
0
.
0
0
0
.
0
0
6
.
7
0
0
.
0
0
Z
n
4
4
.
9
0
4
5
.
3
0
5
6
.
0
0
1
1
.
3
0
3
3
.
3
0
3
2
.
6
0
7
0
.
9
0
R
b
9
6
.
2
3
1
0
5
.
0
7
1
0
4
.
1
5
1
1
6
.
6
5
1
1
7
.
0
4
1
4
1
.
9
8
1
1
0
.
9
0
S
r
4
3
5
.
8
6
4
2
8
.
1
0
4
1
1
.
3
8
7
4
.
9
9
5
8
.
6
9
3
4
.
5
9
8
3
7
.
3
8
Y
1
8
.
8
7
1
5
.
2
6
1
9
.
4
8
1
6
.
9
5
1
8
.
1
0
2
1
.
3
4
2
7
.
3
6
Z
r
4
3
9
.
2
9
4
3
1
.
5
4
4
3
0
.
6
8
1
6
8
.
0
8
1
8
3
.
2
7
1
5
3
.
5
1
5
4
6
.
1
1
N
b
1
2
.
1
0
1
6
.
8
3
1
4
.
4
0
1
4
.
0
9
1
3
.
2
2
1
5
.
0
9
1
0
.
8
6
L
a
1
4
2
.
7
6
1
1
7
.
1
6
1
2
5
.
8
8
8
2
.
3
9
7
4
.
5
5
7
9
.
8
3
1
0
6
.
7
0
B
a
1
7
0
4
1
6
6
4
1
5
3
0
4
8
5
1
8
9
1
5
7
2
3
2
2
I
N
A
A
(
P
P
m
)
S
c
3
.
6
2
4
.
0
6
2
.
8
4
1
.
8
1
1
.
8
1
1
.
9
7
4
.
8
3
H
f
1
0
.
6
3
9
.
9
2
9
.
8
6
5
.
7
8
5
.
7
8
4
.
7
1
1
2
.
8
4
T
h
2
9
.
3
9
2
8
.
1
0
2
8
.
8
4
3
5
.
2
3
3
5
.
2
3
3
3
.
4
5
2
0
.
8
6
L
a
1
2
4
.
3
7
1
2
1
.
2
7
1
1
7
.
9
4
8
0
.
2
3
8
0
.
2
3
6
8
.
7
2
1
0
5
.
7
9
C
e
1
9
8
.
3
2
1
8
3
.
2
1
1
8
5
.
9
7
1
2
9
.
6
4
1
2
9
.
6
4
1
1
0
.
4
8
1
7
1
.
4
0
S
m
7
.
1
3
6
.
6
8
6
.
8
3
5
.
6
9
5
.
6
9
6
.
0
4
8
.
4
5
E
u
1
.
7
5
1
.
7
7
1
.
7
5
0
.
7
3
0
.
7
3
0
.
5
9
1
.
8
8
T
b
0
.
6
5
0
.
6
5
0
.
6
5
0
.
6
8
0
.
6
8
0
.
6
8
0
.
6
3
Y
b
1
.
7
6
1
.
8
0
1
.
8
1
1
.
8
1
1
.
8
1
1
.
6
6
2
.
5
2
L
u
0
.
2
1
0
.
2
3
0
.
2
1
0
.
1
9
0
.
1
9
0
.
1
6
0
.
3
6
S
t
r
a
t
7
0
7
0
7
0
9
5
9
5
9
5
9
5
 
A
p
p
e
n
d
i
x
2
.
2
]
]
C
o
n
t
i
n
u
e
d
.
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
N
u
m
b
e
r
 
 
 
 
 
 
 
R
8
-
3
9
R
8
-
4
0
R
8
-
4
1
R
8
-
4
2
R
8
-
4
4
R
8
-
4
5
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
6
5
.
6
3
7
3
.
5
3
7
3
.
5
4
7
4
.
1
9
6
6
.
0
0
6
4
.
0
6
T
i
O
2
0
.
4
8
0
.
2
0
0
.
2
2
0
.
2
7
0
.
4
5
0
.
5
8
A
l
g
h
1
6
.
8
1
1
2
.
8
3
1
2
.
9
5
1
2
.
5
9
1
5
.
9
6
1
6
.
8
2
F
e
O
2
.
2
3
0
.
8
1
0
.
8
8
1
.
0
2
2
.
0
7
2
.
9
6
M
n
O
0
.
0
7
0
.
0
4
0
.
0
5
0
.
0
5
0
.
0
8
0
.
0
8
M
9
0
0
.
7
5
0
.
0
7
0
.
1
2
0
.
1
5
0
.
8
8
0
.
9
1
C
a
O
2
.
0
7
0
.
7
3
0
.
7
8
0
.
7
5
1
.
6
6
2
.
5
5
N
a
g
)
3
.
7
2
2
.
8
3
2
.
6
1
2
.
8
6
3
.
4
0
3
.
9
5
K
g
)
5
.
4
7
5
.
9
3
6
.
0
8
5
.
6
7
5
.
5
7
5
.
1
4
P
M
%
0
.
1
1
0
.
0
3
0
.
0
3
0
.
0
3
0
.
1
1
0
.
1
9
T
o
t
a
l
9
7
.
3
4
9
7
.
0
0
9
7
.
2
6
9
7
.
5
8
9
6
.
1
8
9
7
.
2
4
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
2
.
6
0
5
.
7
0
6
.
3
0
0
.
0
0
1
3
.
0
0
1
0
.
1
0
N
i
2
.
7
0
0
.
0
0
1
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
4
.
9
0
8
.
6
0
Z
n
4
2
.
7
0
2
6
.
8
0
1
6
.
1
0
2
0
.
9
0
5
2
.
2
0
7
0
.
0
0
R
b
1
4
7
.
9
0
1
1
2
.
0
9
1
2
5
.
0
6
1
2
1
.
2
0
1
4
6
.
3
7
9
0
.
1
5
S
r
4
9
0
.
0
0
6
2
.
9
2
7
2
.
5
8
6
8
.
1
9
3
5
9
.
1
8
6
0
7
.
4
9
Y
2
6
.
5
0
2
1
.
2
5
2
3
.
8
5
2
1
.
1
0
2
7
.
1
6
2
5
.
3
2
Z
r
4
1
9
.
0
0
1
5
2
.
9
9
1
6
9
.
4
7
1
9
3
.
7
0
4
2
1
.
3
2
6
0
3
.
4
0
N
b
1
9
.
5
0
1
4
.
9
6
1
5
.
8
5
1
6
.
3
9
1
4
.
7
6
1
2
.
8
1
L
a
1
3
7
.
5
4
7
6
.
0
9
8
2
.
3
6
8
9
.
8
5
1
4
8
.
2
3
1
3
2
.
4
5
B
a
1
9
1
7
2
6
3
4
5
4
4
3
3
1
3
7
9
2
0
7
0
I
N
A
A
(
P
p
m
)
S
c
3
2
0
1
6
2
1
.
7
3
1
.
9
5
3
.
2
5
4
.
3
2
H
f
9
5
3
4
4
0
4
.
8
7
5
.
4
2
8
.
9
2
1
2
.
5
4
T
h
2
5
.
9
0
2
9
.
1
9
3
3
.
1
9
3
7
.
5
6
2
9
.
3
5
2
2
.
1
7
L
a
1
3
4
.
0
1
6
2
.
9
0
8
3
.
7
9
8
6
.
5
1
1
3
5
.
9
8
1
1
2
.
0
8
C
e
1
6
6
.
2
4
9
8
.
9
8
1
2
2
.
9
9
1
3
8
.
1
2
1
6
0
.
1
5
1
5
9
.
2
1
S
m
8
.
1
0
5
.
3
2
7
.
1
5
6
.
4
3
7
.
3
0
6
.
9
8
E
u
1
.
8
9
0
.
8
0
0
.
9
2
0
.
6
9
1
.
5
6
1
.
9
8
T
b
0
.
6
3
0
.
6
4
0
.
6
8
0
.
6
9
0
.
6
6
0
.
6
0
Y
b
2
.
6
0
1
.
4
8
1
.
8
3
1
.
4
7
1
.
9
1
1
.
3
3
L
u
0
.
2
5
0
.
1
7
0
.
1
7
0
.
1
0
0
.
2
3
0
.
2
1
S
t
r
a
t
9
5
9
5
9
5
9
5
9
5
9
5
 
2
1
2
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
1
1
-
2
R
1
1
-
3
R
1
1
-
5
R
1
1
-
7
R
1
1
-
9
R
1
1
-
2
0
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
z
6
7
.
0
1
7
3
.
9
7
5
9
.
1
4
7
4
.
0
8
6
0
.
0
1
7
2
.
1
6
T
i
O
2
0
.
4
4
0
.
1
1
0
.
9
0
0
.
1
1
0
.
7
5
0
.
2
6
.
A
l
g
h
1
4
.
8
2
1
2
.
5
3
1
7
.
4
6
1
2
.
9
8
1
7
.
8
6
1
3
.
4
0
F
e
O
1
.
8
6
0
.
5
0
4
.
8
3
0
.
5
3
4
.
0
3
1
.
1
8
M
n
O
0
.
0
8
0
.
0
5
0
.
1
2
0
.
1
0
0
.
1
1
0
.
0
5
M
9
0
0
.
5
5
0
.
2
5
1
.
7
9
0
.
2
7
1
.
5
4
0
.
1
6
C
a
O
1
.
8
9
0
.
6
7
4
.
2
1
0
.
4
3
3
.
7
9
0
.
7
8
N
a
g
)
3
.
4
4
2
.
4
1
3
.
9
1
2
.
5
9
4
.
3
0
2
.
3
9
K
g
)
6
.
1
9
6
.
3
9
4
.
1
7
6
.
2
4
4
.
1
0
7
.
1
3
n
g
0
.
1
4
0
.
0
2
0
.
5
4
0
.
0
2
0
.
4
0
0
.
0
5
T
o
t
a
l
9
6
.
4
2
9
6
.
9
0
9
7
.
0
7
9
7
.
3
5
9
6
.
8
9
9
7
.
5
6
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
9
.
2
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
N
i
0
.
0
0
1
.
4
0
0
.
0
0
1
3
.
0
0
1
.
2
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
4
.
8
0
0
.
0
0
Z
n
4
9
.
0
0
1
6
.
3
0
1
0
6
.
5
0
8
.
0
0
9
9
.
2
0
2
0
.
1
0
R
b
1
2
6
.
3
5
2
4
7
.
6
8
1
2
3
.
1
2
2
3
8
.
4
2
1
1
8
.
7
0
1
6
5
.
9
0
S
r
2
8
2
.
0
9
0
.
2
3
8
5
8
.
7
8
4
.
4
0
9
1
7
.
4
2
9
7
.
4
6
Y
1
7
.
8
8
2
8
.
7
6
2
2
.
9
4
3
2
.
1
7
2
0
.
2
6
1
6
.
3
0
Z
r
4
0
0
.
1
7
7
8
.
5
0
3
8
1
.
9
8
7
8
.
6
8
5
1
5
.
3
6
2
1
0
.
8
2
N
b
1
2
.
9
2
3
1
.
2
8
1
3
.
1
4
3
1
.
1
6
1
4
.
4
0
1
6
.
2
1
L
a
1
3
5
.
9
0
0
.
0
0
1
0
5
.
4
0
3
6
.
8
0
8
2
.
9
0
8
5
.
6
0
B
a
9
3
8
0
.
0
0
1
8
2
6
0
.
0
0
2
0
6
7
4
0
8
I
N
A
A
(
p
p
m
)
S
c
3
.
2
1
3
.
6
6
9
.
4
3
4
.
1
0
6
.
3
5
2
.
0
8
H
f
7
.
8
5
3
.
2
7
8
.
3
9
3
.
0
9
9
.
9
4
4
.
5
7
T
h
3
3
.
8
9
2
2
.
2
6
1
8
.
8
4
2
1
.
1
1
1
8
.
2
4
3
1
.
2
6
L
a
1
2
3
.
4
6
2
1
.
8
1
9
6
.
0
4
2
3
.
6
7
9
5
.
8
2
8
2
.
0
3
C
e
2
1
4
.
5
4
5
8
.
2
5
1
9
0
.
5
5
6
0
.
3
4
1
7
1
.
3
8
1
3
5
.
5
0
S
m
7
.
5
8
5
.
5
8
9
.
4
1
5
.
3
9
7
.
8
7
6
.
0
3
E
u
1
.
3
3
0
.
1
2
2
.
5
7
0
.
1
3
2
.
4
3
0
.
6
0
T
b
0
.
5
8
0
.
4
8
1
.
4
8
0
.
4
4
1
.
0
9
0
.
0
6
Y
b
1
.
9
4
2
.
2
4
3
.
2
3
2
.
2
1
2
.
7
0
1
.
1
8
L
u
0
.
2
3
0
.
3
1
0
.
4
8
0
.
2
8
0
.
4
0
'
0
.
0
9
S
t
r
a
t
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
 
2
1
3
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
1
8
-
1
R
1
8
-
2
R
1
8
-
3
R
1
8
—
4
R
1
8
-
8
R
1
8
-
1
2
R
1
8
-
1
6
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
z
7
6
.
1
2
7
2
.
7
2
7
4
.
9
8
7
5
.
5
8
7
5
.
0
7
7
5
.
1
1
7
5
.
4
2
T
i
O
,
0
.
1
0
0
.
1
6
0
.
1
1
0
.
1
1
0
.
1
8
0
.
1
2
0
.
1
6
A
l
g
k
1
2
.
3
0
1
4
.
3
6
1
3
.
0
3
1
2
.
3
8
1
2
.
9
2
1
2
.
4
9
1
2
.
3
9
F
e
O
0
.
5
6
0
.
7
7
0
.
5
6
0
.
5
3
0
.
8
1
0
.
6
3
0
.
7
2
M
n
O
0
.
0
7
0
.
0
5
0
.
0
7
0
.
0
7
0
.
0
5
0
.
0
6
0
.
0
5
M
g
O
0
.
0
1
0
.
4
8
0
.
2
5
0
.
0
0
0
.
3
7
0
.
0
4
0
.
1
8
C
a
O
0
.
3
9
0
.
5
1
0
.
4
1
0
.
4
2
0
.
5
8
0
.
4
6
0
.
5
8
N
a
g
)
3
.
5
1
2
.
5
6
3
.
0
5
3
.
5
8
2
.
5
3
3
.
4
1
2
.
9
3
K
g
)
4
.
6
5
5
.
0
9
5
.
1
0
4
.
8
6
5
.
2
2
5
.
2
0
5
.
5
4
P
M
%
0
.
0
1
0
.
0
2
0
.
0
1
0
.
0
1
0
.
2
3
0
.
0
1
0
.
0
2
T
o
t
a
l
9
7
.
7
2
9
6
.
7
2
9
7
.
5
7
9
7
.
5
4
9
7
.
9
6
9
7
.
5
3
9
7
.
9
9
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
N
i
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
2
6
.
9
0
4
4
.
1
0
3
6
.
4
0
3
3
.
5
0
4
9
.
6
0
3
0
.
7
0
2
8
.
0
0
R
b
2
5
1
.
0
0
1
5
5
.
2
2
2
3
8
.
5
6
2
5
2
.
7
5
1
5
1
.
7
3
2
2
2
.
3
1
1
4
4
.
7
7
S
r
1
.
8
8
1
0
.
9
6
0
.
0
0
0
.
4
7
2
3
.
8
7
0
.
0
0
2
1
.
6
1
Y
2
9
.
9
4
2
2
.
5
6
3
1
.
7
7
3
1
.
0
4
2
0
.
0
7
2
5
.
6
5
1
8
.
1
7
Z
r
6
7
.
2
1
1
1
2
.
1
8
8
0
.
9
2
7
3
.
4
6
1
1
2
.
3
9
8
3
.
0
7
1
0
9
.
7
7
N
b
2
7
.
2
6
2
0
.
4
2
2
7
.
5
4
2
6
.
4
3
1
7
.
5
6
2
1
.
8
2
1
1
.
1
2
L
a
2
7
.
4
0
3
3
.
6
0
1
0
.
3
0
3
6
.
2
0
2
2
.
0
0
4
0
.
9
0
3
9
.
6
0
B
a
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
3
I
N
A
A
(
p
p
m
)
S
c
4
.
5
0
1
.
6
1
2
.
6
6
0
.
9
4
3
.
6
3
3
.
5
0
3
.
0
0
H
f
3
.
2
6
4
.
5
3
1
.
9
6
3
.
7
9
4
.
1
5
3
.
9
3
3
.
5
0
T
h
2
1
.
4
4
3
3
.
7
2
2
0
.
8
8
2
3
.
2
9
3
4
.
4
9
2
5
.
0
6
3
1
.
4
7
L
a
2
6
.
5
8
3
1
.
4
0
1
6
.
7
0
3
1
.
5
4
3
8
.
2
3
2
7
.
9
6
3
6
.
6
8
C
e
4
2
.
7
5
7
9
.
4
4
4
8
.
7
0
4
7
.
3
3
8
8
.
5
4
5
7
.
5
9
8
5
.
2
3
S
m
5
.
3
7
5
.
4
0
5
.
1
3
5
.
4
3
5
.
1
2
5
.
5
1
4
.
9
7
E
u
0
.
0
7
0
.
1
7
0
.
1
3
0
.
0
1
0
.
2
5
0
.
1
6
0
.
3
2
T
b
0
.
5
2
0
.
3
9
0
.
4
9
0
.
4
9
0
.
3
7
0
.
4
0
0
.
5
0
Y
b
2
.
9
4
2
.
1
3
1
.
8
3
2
.
7
5
2
.
0
3
2
.
4
1
2
.
0
1
L
u
0
.
4
4
0
.
3
3
0
.
3
7
0
.
4
7
0
.
2
6
0
.
4
1
0
.
2
5
S
t
r
a
t
5
.
0
5
.
0
5
.
0
5
.
0
5
.
0
5
.
0
5
.
0
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
2
1
4
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
N
u
m
b
e
r
 
R
1
8
-
1
8
R
1
8
-
1
9
R
1
8
-
2
0
R
1
8
-
2
1
R
1
8
-
2
2
R
1
8
-
2
3
 
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
 
 
 
 
 
 
S
i
O
2
7
6
.
2
2
7
5
.
4
1
7
3
.
9
7
7
5
.
4
0
7
5
.
0
0
7
5
.
3
5
T
1
1
0
2
0
.
1
2
0
.
1
1
0
.
2
3
0
.
1
0
0
.
1
2
0
.
1
0
A
l
fi
h
1
2
.
0
2
1
2
.
4
8
1
2
.
6
4
1
2
.
2
4
1
2
.
3
7
1
2
.
3
5
F
e
O
0
.
6
0
0
.
4
8
0
.
9
3
0
.
4
7
0
.
5
6
0
.
4
8
M
n
O
0
.
0
5
0
.
0
7
0
.
0
5
0
.
0
7
0
.
0
6
0
.
0
7
M
9
0
0
.
0
0
0
.
0
0
0
.
1
7
0
.
0
2
0
.
0
0
0
.
0
4
C
a
O
0
.
4
9
0
.
4
3
0
.
6
5
0
.
4
1
0
.
5
0
0
.
4
2
N
a
g
)
3
.
3
6
3
.
5
3
3
.
3
7
3
.
5
0
3
.
5
2
3
.
5
9
K
g
)
4
.
9
3
4
.
9
4
5
.
2
3
4
.
8
8
5
.
0
4
5
.
0
3
P
g
h
0
.
0
1
0
.
0
1
0
.
0
3
0
.
0
1
0
.
0
1
0
.
0
1
T
o
t
a
l
9
7
.
8
0
9
7
.
4
6
9
7
.
2
7
9
7
.
1
0
9
7
.
1
8
9
7
.
4
4
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
0
.
0
0
2
.
0
0
0
.
3
0
0
.
0
0
0
.
0
0
0
.
0
0
N
i
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
2
4
.
6
0
3
0
.
3
0
4
9
.
3
0
3
6
.
2
0
2
9
.
7
0
2
6
.
9
0
R
b
1
7
7
.
9
3
2
5
1
.
2
6
1
2
7
.
5
8
2
5
4
.
4
7
2
0
6
.
0
0
2
5
3
.
8
8
S
r
6
.
9
7
0
.
0
0
4
5
.
5
2
3
.
5
1
6
.
6
5
5
.
2
7
Y
1
9
.
9
2
2
7
.
9
9
1
4
.
2
8
3
0
.
0
4
2
3
.
9
9
2
8
.
1
5
Z
r
8
7
.
2
0
7
1
.
3
2
1
6
9
.
4
2
6
8
.
3
0
8
1
.
6
1
7
2
.
2
1
N
b
1
5
.
0
1
2
3
.
9
6
1
5
.
9
4
2
9
.
3
3
2
5
.
7
5
2
7
.
4
5
L
a
5
1
.
0
0
2
2
.
3
0
5
6
.
2
0
4
.
4
0
3
0
.
1
0
1
5
.
8
0
B
a
1
.
0
0
.
0
0
9
4
2
1
0
.
0
0
0
.
0
0
I
N
A
A
(
p
p
m
)
S
C
3
.
1
7
3
.
0
4
1
.
8
6
N
A
I
3
.
6
0
3
.
1
0
H
f
3
.
4
2
3
.
8
7
5
.
1
0
N
A
3
.
6
2
3
.
8
2
T
h
2
5
.
7
2
2
2
.
3
4
3
3
.
3
0
N
A
2
6
.
1
6
2
1
.
9
3
L
a
3
0
.
1
9
2
9
.
0
6
5
6
.
7
3
N
A
3
3
.
3
4
2
8
.
8
1
C
e
6
1
.
8
8
4
6
.
6
4
1
2
2
.
6
1
N
A
6
2
.
6
5
4
5
.
5
9
S
m
5
.
0
6
5
.
0
5
5
.
9
9
N
A
5
.
1
7
5
.
2
6
E
u
0
.
0
8
0
.
0
5
0
.
5
4
N
A
0
.
0
3
0
.
0
3
T
b
0
.
2
3
0
.
5
3
0
.
3
0
N
A
0
.
3
7
0
.
4
2
Y
b
2
.
3
6
3
.
1
6
2
.
1
6
N
A
2
.
6
4
2
.
9
8
L
u
0
.
4
1
0
.
5
3
0
.
3
2
N
A
0
.
4
2
0
.
5
5
S
t
r
a
t
1
2
.
0
1
2
.
0
2
.
0
1
2
.
0
1
2
.
0
1
2
.
0
N
A
1
=
N
o
t
a
n
a
l
y
z
e
d
 
2
1
5
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
2
1
-
1
R
2
1
-
5
R
2
1
—
6
R
2
1
-
8
R
2
1
-
9
R
2
1
-
1
2
R
2
1
-
1
3
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
6
7
.
0
8
7
3
.
4
8
7
4
.
2
0
6
5
.
2
1
7
4
.
9
1
7
4
.
5
2
5
4
.
9
8
T
i
O
2
0
.
4
6
0
.
2
7
0
.
2
4
0
.
4
7
0
.
2
0
0
.
2
1
1
.
5
4
A
l
fi
h
1
5
.
8
4
1
2
.
7
2
1
2
.
7
4
1
6
.
9
4
1
2
.
3
4
1
2
.
2
1
1
6
.
6
9
F
e
O
2
.
0
6
1
.
1
8
0
.
9
8
2
.
1
2
0
.
7
9
0
.
8
5
7
.
0
2
M
n
O
0
.
1
0
0
.
0
7
0
.
0
6
0
.
1
1
0
.
0
6
0
.
0
5
0
.
1
4
M
9
0
0
.
6
5
0
.
6
1
0
.
0
9
0
.
6
1
0
.
0
8
0
.
3
4
3
.
3
6
C
a
O
1
.
6
0
0
.
8
2
0
.
6
7
1
.
7
9
0
.
6
1
0
.
5
9
5
.
6
7
N
a
g
)
3
.
7
6
2
.
8
9
2
.
9
8
3
.
6
5
2
.
8
1
2
.
5
4
3
.
5
4
K
g
)
5
.
6
9
5
.
3
8
5
.
4
5
5
.
4
2
5
.
5
5
5
.
4
8
3
.
1
3
P
M
%
0
.
1
2
0
.
0
5
0
.
0
3
0
.
1
7
0
.
0
2
0
.
0
3
0
.
7
2
T
o
t
a
l
9
7
.
3
6
9
7
.
4
7
9
7
.
4
4
9
6
.
4
9
9
7
.
3
7
9
6
.
8
2
9
6
.
7
9
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
1
.
1
0
1
.
0
0
0
.
4
0
7
.
1
0
0
.
0
0
0
.
0
0
7
.
5
0
N
i
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
1
0
.
1
0
5
.
4
0
1
.
1
0
9
.
9
0
3
.
5
0
0
.
3
0
2
2
.
7
0
Z
n
5
7
.
1
0
5
5
.
9
0
3
7
.
8
0
7
3
.
6
0
3
4
.
6
0
3
2
.
7
0
1
3
0
.
9
0
R
b
9
9
.
0
2
9
9
.
1
8
1
1
1
.
4
9
9
0
.
7
7
1
2
2
.
2
0
1
3
3
.
7
5
6
7
.
0
1
S
r
2
9
8
.
0
1
6
6
.
7
9
5
9
.
2
9
3
6
9
.
3
0
3
1
.
5
4
2
6
.
9
6
1
0
9
9
Y
1
6
.
1
7
1
4
.
9
6
1
4
.
8
6
1
8
.
9
4
1
4
.
5
1
1
3
.
9
4
3
1
.
0
5
Z
r
4
2
7
.
1
3
2
0
5
.
0
5
1
8
7
.
3
8
4
2
4
.
9
5
1
5
0
.
1
2
1
6
6
.
7
5
2
8
1
.
5
8
N
b
1
3
.
3
9
1
4
.
7
6
1
3
.
7
8
1
4
.
1
4
1
3
.
0
1
1
2
.
8
1
1
2
.
8
3
L
a
1
5
4
.
9
0
1
0
3
.
9
4
7
6
.
2
7
1
5
3
.
1
0
7
4
.
0
3
9
2
.
1
5
1
0
4
.
5
3
B
a
9
6
1
2
7
7
2
6
3
1
3
2
1
3
5
5
5
1
3
6
5
I
N
A
A
(
p
p
m
)
S
c
2
.
9
8
1
.
7
0
1
.
8
7
2
.
9
7
2
.
4
5
1
.
7
9
1
3
.
1
4
H
f
9
.
1
8
5
.
2
8
5
.
4
3
1
0
.
2
5
4
.
3
5
5
.
0
5
6
.
1
6
T
h
3
2
.
5
4
3
2
.
2
0
3
4
.
6
9
2
8
.
4
1
3
1
.
5
4
3
2
.
4
3
1
2
.
2
7
L
a
1
3
3
.
8
9
7
6
.
5
2
7
8
.
5
0
1
2
4
.
3
9
6
9
.
4
6
7
2
.
6
2
8
6
.
0
2
C
e
2
0
7
.
7
4
1
3
0
.
8
1
1
3
5
.
8
1
1
9
7
.
1
1
1
1
1
.
0
6
1
1
8
.
1
5
1
5
3
.
4
8
S
m
7
.
6
6
6
.
6
3
5
.
7
6
8
.
2
6
5
.
3
8
5
.
9
2
1
0
.
7
2
E
u
1
.
2
5
0
.
5
9
0
.
6
0
1
.
5
2
0
.
4
0
0
.
4
0
2
.
8
7
T
b
0
.
7
2
0
.
7
4
0
.
7
4
0
.
7
3
0
.
7
5
0
.
7
5
0
.
6
8
Y
b
1
.
9
2
1
.
8
4
1
.
8
5
1
.
9
5
1
.
8
6
1
.
9
3
2
.
2
8
L
u
0
.
2
8
0
.
1
8
0
.
2
5
0
.
2
8
0
.
2
4
0
.
2
8
0
.
4
2
S
t
r
a
t
2
0
2
0
2
0
2
0
2
0
3
0
3
0
 
2
1
6
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
N
u
m
b
e
r
 
 
 
 
 
 
 
R
2
1
-
2
7
R
2
1
-
3
4
R
2
1
-
3
5
R
2
1
-
4
0
R
2
1
-
4
3
R
2
1
-
4
4
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
7
0
.
2
7
7
2
.
9
0
6
7
.
3
2
7
6
.
1
3
5
5
.
9
7
7
4
.
4
0
T
i
O
z
0
.
3
3
0
.
2
4
0
.
4
6
0
.
1
3
1
.
4
1
0
.
2
4
A
l
g
h
1
4
.
5
9
1
3
.
2
3
1
5
.
7
9
1
1
.
9
9
1
6
.
8
0
1
2
.
8
3
F
e
O
1
.
5
1
0
.
9
8
2
.
1
7
0
.
6
1
6
.
7
0
1
.
0
6
M
n
O
0
.
0
6
0
.
0
5
0
.
0
8
0
.
0
5
0
.
1
3
0
.
0
5
M
g
O
0
.
3
4
0
.
2
0
0
.
7
0
0
.
0
0
2
.
9
0
0
.
1
3
C
a
O
1
.
1
2
0
.
7
2
1
.
6
9
0
.
5
1
5
.
5
3
0
.
7
5
N
a
g
)
3
.
6
0
3
.
2
4
3
.
9
6
2
.
8
8
3
.
7
6
3
.
0
3
K
g
)
5
.
3
4
5
.
7
2
5
.
4
2
5
.
2
9
3
.
1
3
5
.
4
7
n
g
0
.
0
7
0
.
0
4
0
.
1
3
0
.
0
1
0
.
6
7
0
.
0
3
T
o
t
a
l
9
7
.
2
3
9
7
.
3
2
9
7
.
7
2
9
7
.
6
0
9
7
.
0
0
9
7
.
9
9
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
4
.
1
0
0
.
0
0
6
.
2
0
0
.
0
0
5
.
7
0
1
1
.
8
0
N
i
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
2
.
8
0
0
.
0
0
Z
n
6
4
.
3
0
3
7
.
5
0
5
7
.
3
0
7
5
.
6
0
1
0
2
.
0
0
4
5
.
5
0
R
b
1
0
6
.
2
0
1
2
2
.
8
7
9
8
.
6
7
1
6
3
.
8
7
6
5
.
1
6
1
1
6
.
2
5
S
r
2
2
8
.
3
5
9
3
.
5
0
3
7
1
.
4
8
2
2
.
0
3
1
1
3
9
.
0
0
6
9
.
9
1
Y
1
4
.
4
8
1
3
.
6
7
1
1
.
6
6
1
5
.
3
1
2
5
.
6
1
1
4
.
5
2
Z
r
2
9
6
.
8
9
1
8
7
.
8
5
4
1
0
.
8
8
9
5
.
8
0
3
2
4
.
1
3
1
8
6
.
5
1
N
b
1
2
.
7
9
1
3
.
5
7
1
1
.
2
2
1
8
.
6
9
1
2
.
3
8
9
.
7
1
L
a
1
0
7
.
2
0
7
8
.
6
3
9
3
.
3
7
4
8
.
6
5
9
2
.
5
9
8
2
.
9
0
B
a
9
4
5
3
8
9
1
5
6
1
1
3
4
1
5
1
7
2
5
8
I
N
A
A
(
P
P
m
)
S
c
N
A
N
A
2
.
8
9
2
.
6
6
1
1
.
7
8
1
.
7
3
H
f
N
A
N
A
7
.
2
5
2
.
6
6
7
.
2
8
3
.
6
6
T
h
N
A
N
A
2
4
.
4
0
2
0
.
9
6
1
3
.
1
3
2
4
.
0
6
L
a
N
A
N
A
1
0
9
.
7
2
4
0
.
4
7
7
0
.
1
4
7
3
.
0
2
C
e
N
A
N
A
1
6
2
.
3
4
5
5
.
4
1
1
2
5
.
8
3
8
7
.
3
8
S
m
N
A
N
A
6
.
6
4
5
.
1
8
9
.
1
4
5
.
2
5
E
u
N
A
N
A
1
.
4
7
0
.
1
6
2
.
9
5
0
.
5
5
T
b
N
A
N
A
0
.
4
6
0
.
3
3
1
.
7
6
0
.
3
3
Y
b
N
A
N
A
1
.
6
8
0
.
9
9
3
.
5
4
0
.
6
6
L
u
N
A
N
A
0
.
2
3
0
.
1
1
0
.
7
0
0
.
0
7
S
t
r
a
t
1
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
 
2
1
7
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
2
3
-
1
R
2
3
-
4
R
2
3
-
5
R
2
3
-
6
R
2
3
-
1
1
R
2
3
-
1
3
R
2
3
-
1
5
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
7
5
.
4
0
7
4
.
9
9
7
5
.
3
9
7
4
.
7
5
7
5
.
7
4
6
8
.
3
7
7
3
.
9
1
T
i
O
2
0
.
1
0
0
.
2
0
0
.
1
0
0
.
1
9
0
.
1
0
0
.
4
2
0
.
2
4
A
l
g
h
1
1
.
9
5
1
2
.
0
7
1
2
.
0
3
1
2
.
4
6
1
2
.
2
0
1
5
.
2
7
1
2
.
6
2
F
e
O
0
.
4
9
0
.
7
9
0
.
4
7
0
.
9
1
0
.
5
1
1
.
8
7
0
.
9
5
M
n
O
0
.
0
6
0
.
0
4
0
.
0
5
0
.
0
4
0
.
0
6
0
.
0
7
0
.
0
5
M
9
0
0
.
0
0
0
.
1
1
0
.
0
0
0
.
2
0
0
.
0
7
0
.
7
4
0
.
0
9
C
a
O
0
.
4
7
0
.
6
1
0
.
4
0
0
.
6
1
0
.
4
0
1
.
4
8
0
.
6
2
N
a
g
)
2
.
6
9
2
.
5
8
2
.
6
4
2
.
8
0
3
.
1
5
3
.
7
5
3
.
2
0
1
9
0
5
.
7
5
5
.
4
5
5
.
9
8
5
.
7
5
5
.
1
6
5
.
5
4
5
.
5
6
n
g
0
.
0
1
0
.
0
2
0
.
0
1
0
.
0
2
0
.
0
1
0
.
1
2
0
.
0
3
T
o
t
a
l
9
6
.
9
2
9
6
.
8
6
9
7
.
0
7
9
7
.
7
3
9
7
.
4
0
9
7
.
6
3
9
7
.
2
7
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
8
.
1
0
5
.
2
0
0
.
0
0
0
.
0
0
5
.
1
0
9
.
7
0
8
.
3
0
N
i
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
4
.
9
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
1
.
9
0
0
.
0
0
0
.
0
0
1
.
9
0
0
.
0
0
Z
n
1
3
.
5
0
2
0
.
0
0
1
5
.
8
0
3
6
.
6
0
1
8
.
7
0
4
2
.
3
0
3
0
.
3
0
R
b
2
3
4
.
0
3
1
2
0
.
7
8
2
3
6
.
2
6
1
3
1
.
8
9
2
3
9
.
2
7
1
1
3
.
0
7
1
2
0
.
3
1
S
r
1
6
.
7
2
8
4
.
4
5
6
.
2
6
5
2
.
2
5
2
.
7
0
3
1
9
.
0
6
5
2
.
7
1
Y
2
8
.
7
0
1
4
.
5
6
2
7
.
3
2
1
2
.
0
7
2
9
.
9
3
1
4
.
0
4
1
2
.
3
2
Z
r
7
2
.
1
3
1
4
5
.
5
4
6
9
.
5
3
1
4
1
.
9
6
7
6
.
2
0
3
8
0
.
6
6
1
7
7
.
4
2
N
b
2
8
.
9
5
1
5
.
0
7
3
1
.
6
3
1
8
.
8
5
2
8
.
5
2
1
3
.
4
2
1
0
.
8
6
L
a
2
5
.
6
0
4
3
.
7
0
3
6
.
1
0
3
6
.
2
0
1
2
.
3
0
9
8
.
4
0
6
4
.
1
0
B
a
0
.
0
0
2
0
7
5
6
2
5
7
0
.
0
0
1
2
7
1
>
2
3
4
I
N
A
A
(
p
p
m
)
S
c
1
.
9
4
1
.
3
1
2
.
7
2
N
A
N
A
4
.
1
3
1
.
0
6
H
f
1
.
2
2
3
.
7
2
1
.
6
6
N
A
N
A
7
.
2
2
3
.
2
6
T
h
1
8
.
5
1
2
6
.
7
3
2
0
.
4
8
N
A
N
A
2
5
.
2
3
3
0
.
4
6
L
a
1
8
.
2
0
5
9
.
9
9
2
1
.
3
5
N
A
N
A
8
0
.
6
8
6
1
.
3
2
C
e
4
2
.
8
0
9
5
.
6
4
4
7
.
8
3
N
A
N
A
1
4
3
.
6
7
1
1
0
.
0
8
S
m
4
.
9
9
5
.
9
3
5
.
1
3
N
A
N
A
6
.
6
0
5
.
6
0
E
u
0
.
1
3
0
.
5
1
0
.
1
3
N
A
N
A
1
.
4
1
0
.
3
4
T
b
0
.
3
7
0
.
2
9
0
.
4
2
N
A
N
A
0
.
5
0
0
.
2
1
Y
b
1
.
6
1
1
.
1
1
1
.
7
4
N
A
N
A
1
.
4
0
0
.
8
7
L
u
0
.
3
3
0
.
2
3
0
.
3
7
N
A
N
A
0
.
2
8
0
.
1
8
S
t
r
a
t
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
 
2
1
8
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
2
3
-
1
6
R
2
3
-
1
7
R
2
3
-
2
1
R
2
3
-
2
2
R
2
3
-
2
3
R
2
3
-
2
4
R
2
3
-
2
6
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
6
6
.
8
2
5
7
.
3
6
7
2
.
1
7
7
5
.
2
9
7
6
.
0
9
5
8
.
0
8
6
2
.
7
3
T
i
O
2
0
.
4
6
1
.
1
8
0
.
2
3
0
.
1
0
0
.
1
4
1
.
1
1
0
.
5
9
A
l
g
h
1
5
.
6
0
1
6
.
9
7
1
3
.
5
3
1
2
.
3
1
1
1
.
8
3
1
7
.
0
3
1
7
.
6
8
F
e
O
2
.
0
8
5
.
8
1
1
.
0
2
0
.
5
0
0
.
6
5
5
.
5
9
2
.
9
4
M
n
O
0
.
0
8
0
.
1
3
0
.
0
5
0
.
0
6
0
.
0
5
0
.
1
2
0
.
0
9
M
9
0
0
.
6
8
2
.
5
9
0
.
2
4
0
.
0
0
0
.
0
7
2
.
4
6
1
.
0
6
C
a
O
1
.
7
1
5
.
0
5
0
.
8
9
0
.
4
2
0
.
4
9
4
.
6
6
2
.
7
3
N
a
g
)
3
.
8
6
3
.
8
7
3
.
3
4
3
.
1
9
2
.
8
9
3
.
8
9
4
.
5
5
K
g
)
5
.
4
8
3
.
5
7
5
.
5
3
5
.
4
6
5
.
3
2
3
.
5
6
5
.
0
7
P
g
h
0
.
1
3
0
.
6
1
0
.
0
5
0
.
0
1
0
.
0
1
0
.
5
5
0
.
2
0
T
o
t
a
l
9
6
.
9
0
9
7
.
1
4
9
7
.
0
5
9
7
.
3
4
9
7
.
5
4
9
7
.
0
5
9
7
.
6
4
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
0
.
0
0
8
.
1
0
4
.
8
0
8
.
8
0
2
.
8
0
0
.
0
0
8
.
5
0
N
i
0
.
0
0
0
.
0
0
0
.
0
0
1
4
.
7
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
7
.
7
0
0
.
0
0
0
.
0
0
0
.
0
0
1
0
.
8
0
4
.
7
0
Z
n
5
1
.
8
0
9
0
.
9
0
2
7
.
2
0
1
9
.
7
0
2
5
.
3
0
9
0
.
6
0
5
3
.
7
0
R
b
1
0
4
.
5
7
7
1
.
4
8
1
2
9
.
0
9
2
4
8
.
9
0
1
6
0
.
3
6
7
2
.
7
3
7
6
.
6
6
S
r
3
2
7
.
6
1
1
0
6
3
1
3
3
.
3
1
1
7
.
3
8
1
0
.
0
6
1
0
6
4
6
7
6
.
2
1
Y
1
6
.
6
0
2
6
.
4
1
1
3
.
2
3
2
9
.
4
2
1
7
.
5
4
2
1
.
2
8
1
3
.
2
6
Z
r
4
0
0
.
6
6
3
4
1
.
6
2
1
9
4
.
7
5
7
1
.
2
9
8
9
.
6
9
3
5
7
.
6
9
5
6
6
.
4
4
N
b
1
7
.
1
6
1
2
.
5
7
1
4
.
6
5
2
5
.
1
1
1
9
.
5
0
1
2
.
6
7
1
1
.
9
8
L
a
1
2
5
.
7
0
6
9
.
9
0
7
7
.
2
0
3
3
.
0
0
5
7
.
2
0
8
0
.
0
0
1
1
3
.
5
0
B
a
1
1
2
9
1
7
4
6
4
7
0
0
.
0
0
0
.
0
0
1
7
9
8
2
8
8
3
I
N
A
A
(
p
p
m
)
S
c
3
.
9
5
1
0
.
2
6
0
.
8
8
3
.
2
0
N
A
9
.
3
8
5
.
2
6
H
f
9
.
2
4
9
.
6
8
3
.
4
0
1
.
3
1
N
A
1
0
.
4
7
1
3
.
2
9
T
h
3
0
.
5
9
1
4
.
8
3
2
5
.
4
3
1
9
.
6
1
N
A
1
4
.
9
4
2
1
.
8
0
L
a
1
1
9
.
5
2
8
0
.
9
2
6
1
.
0
0
1
7
.
8
3
N
A
8
0
.
4
3
1
0
1
.
1
5
C
e
1
9
8
.
8
4
1
5
3
.
7
6
1
0
6
.
2
0
4
4
.
9
8
N
A
1
4
9
.
7
0
1
7
3
.
3
5
S
m
7
.
7
9
9
.
3
9
5
.
6
7
5
.
3
3
N
A
9
.
1
8
7
.
4
4
E
u
1
.
6
0
2
.
9
4
0
.
5
9
0
.
1
3
N
A
2
.
7
9
2
.
4
9
T
b
0
.
6
6
1
.
4
3
0
.
2
8
0
.
4
0
N
A
1
.
2
8
0
.
7
3
Y
b
1
.
6
0
2
.
8
8
0
.
8
5
1
.
6
4
N
A
2
.
6
7
1
.
8
3
L
u
0
.
3
4
0
.
5
8
0
.
2
0
0
.
3
7
N
A
0
.
5
4
0
.
3
9
S
t
r
a
t
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
 
2
1
9
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
2
3
-
2
7
R
2
5
-
1
R
2
5
-
1
1
R
2
5
-
1
2
R
2
5
-
1
4
R
2
5
-
1
6
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
5
6
.
6
6
7
5
.
9
7
7
2
.
3
2
7
5
.
2
7
7
3
.
8
6
7
5
.
6
8
T
i
O
2
1
.
3
6
0
.
1
3
0
.
2
9
0
.
1
1
0
.
2
4
0
.
1
5
.
A
l
g
h
1
7
.
0
5
1
1
.
6
4
1
3
.
8
2
1
2
.
4
5
1
2
.
9
0
1
2
.
1
9
F
e
O
6
.
6
3
0
.
7
4
1
.
1
5
0
.
4
2
0
.
8
6
0
.
5
6
M
n
O
0
.
1
3
0
.
1
0
0
.
0
6
0
.
0
5
0
.
0
5
0
.
0
4
M
g
O
2
.
8
4
0
.
1
8
0
.
3
1
0
.
0
3
0
.
2
8
0
.
0
8
C
a
O
5
.
3
8
0
.
5
0
0
.
8
1
0
.
3
8
0
.
5
6
0
.
5
0
N
a
g
)
3
.
6
5
2
.
8
4
3
.
2
2
2
.
7
8
3
.
0
5
2
.
7
7
K
g
)
3
.
4
6
5
.
7
6
5
.
2
6
5
.
5
5
5
.
3
0
5
.
5
4
n
g
0
.
6
7
0
.
1
0
0
.
0
6
0
.
0
1
0
.
0
3
0
.
0
1
T
o
t
a
l
9
7
.
8
3
9
7
.
9
6
9
7
.
3
0
9
7
.
0
5
9
7
.
1
3
9
7
.
5
2
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
P
P
m
)
C
r
0
.
9
0
0
.
0
0
0
.
0
0
1
.
4
0
0
.
0
0
0
.
0
0
N
i
0
.
0
0
1
2
.
4
0
0
.
0
0
0
.
0
0
1
.
7
0
0
.
0
0
C
u
1
5
.
6
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
9
0
.
7
0
3
2
.
8
0
1
5
6
.
8
0
9
5
.
0
0
1
0
8
.
0
0
3
2
.
7
0
R
b
6
3
.
6
9
2
4
0
.
8
5
1
6
1
.
3
5
2
7
2
.
6
1
2
7
2
.
2
3
2
2
0
.
0
7
S
r
1
0
8
3
7
.
4
5
8
4
.
6
6
0
.
0
0
4
7
.
1
0
9
.
2
2
Y
2
6
.
3
1
4
0
.
4
6
1
8
.
9
9
3
0
.
8
8
1
4
.
7
2
2
5
.
6
3
Z
r
3
8
1
.
5
4
1
2
7
.
9
6
2
3
9
.
9
9
8
2
.
7
3
1
8
6
.
9
8
1
0
4
.
1
7
N
b
1
2
.
0
3
3
5
.
0
0
1
6
.
2
8
2
7
.
0
9
1
5
.
8
0
1
7
.
0
7
L
a
8
2
.
0
0
1
9
.
8
0
8
2
.
6
0
1
2
.
4
0
7
6
.
7
0
4
0
.
9
0
B
a
1
4
1
8
0
.
0
0
2
8
8
0
.
0
0
1
5
4
0
.
0
0
I
N
A
A
(
p
p
m
)
S
c
N
A
1
.
9
3
2
.
4
4
3
.
4
7
2
.
0
0
2
.
4
7
H
f
N
A
4
.
4
8
5
.
1
8
3
.
1
6
4
.
4
1
3
.
2
5
T
h
N
A
3
1
.
1
2
3
1
.
5
9
2
1
.
7
5
3
1
.
2
2
2
8
.
4
6
L
a
N
A
3
3
.
5
1
9
3
.
8
6
2
3
.
0
6
7
0
.
4
4
4
2
.
3
0
C
e
N
A
7
9
.
5
9
1
5
6
.
1
9
5
7
.
2
2
1
2
5
.
4
1
8
1
.
9
6
S
m
N
A
6
.
1
3
6
.
3
7
5
.
0
7
5
.
4
3
5
.
3
5
E
u
N
A
0
.
2
6
0
.
7
2
0
.
1
3
0
.
4
9
0
.
1
7
T
b
N
A
0
.
4
0
0
.
3
8
0
.
4
3
0
.
2
4
0
.
2
1
Y
b
N
A
2
.
3
3
1
.
6
4
2
.
1
4
1
.
4
0
1
.
3
3
L
u
N
A
0
.
3
0
0
.
1
7
0
.
2
8
0
.
1
3
0
.
1
4
S
t
r
a
t
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
 
2
2
0
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
2
5
-
2
0
R
2
5
—
2
1
R
2
6
-
3
R
2
6
-
6
R
2
6
~
7
R
2
6
-
9
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
Z
7
6
.
0
7
6
6
.
7
7
7
4
.
1
2
7
4
.
0
6
7
4
.
1
3
7
3
.
2
2
T
i
O
2
0
.
1
0
0
.
4
3
0
.
1
9
0
.
2
0
0
.
2
0
0
.
2
1
A
1
2
0
3
1
2
.
4
8
1
6
.
1
3
1
2
.
3
7
1
2
.
7
2
1
2
.
1
7
1
2
.
9
1
F
e
O
0
.
3
5
1
.
9
0
0
.
7
7
0
.
7
8
0
.
8
6
0
.
8
6
M
n
O
0
.
0
5
0
.
0
7
0
.
0
5
0
.
0
5
0
.
0
5
0
.
0
5
M
g
O
0
.
0
1
0
.
6
6
0
.
0
9
0
.
1
7
0
.
1
2
0
.
1
3
C
a
O
0
.
3
6
1
.
7
6
0
.
5
4
0
.
5
8
0
.
5
9
0
.
6
0
N
a
g
)
2
.
9
4
4
.
0
1
2
.
7
8
2
.
6
5
2
.
8
3
2
.
8
8
K
g
)
5
.
5
0
5
.
0
0
6
.
0
8
6
.
4
2
5
.
9
1
6
.
4
4
n
g
0
.
0
1
0
.
1
1
0
.
0
2
0
.
0
3
0
.
0
3
0
.
0
3
T
o
t
a
l
9
7
.
8
7
9
6
.
8
4
9
7
.
0
1
9
7
.
6
6
9
6
.
8
9
9
7
.
3
3
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
N
i
7
.
0
0
5
.
5
0
0
.
0
0
0
.
0
0
0
.
0
0
4
.
6
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
5
9
.
9
0
8
5
.
9
0
1
5
.
9
0
1
4
.
4
0
2
2
.
4
0
1
6
.
3
0
R
b
3
3
7
.
5
3
1
3
7
.
2
1
1
5
1
.
8
7
1
4
8
.
7
6
1
3
0
.
4
8
1
3
1
.
3
1
S
r
0
.
0
0
3
2
6
.
0
7
2
7
.
5
3
3
4
.
3
6
2
6
.
1
5
5
1
.
0
2
Y
2
8
.
2
6
1
6
.
2
2
1
5
.
1
7
1
3
.
2
7
1
4
.
5
8
1
3
.
6
2
Z
r
6
8
.
2
5
4
2
0
.
5
7
1
4
9
.
8
9
1
3
8
.
0
9
1
5
2
.
7
6
1
5
9
.
4
4
N
b
2
8
.
5
0
1
1
.
3
1
1
4
.
1
0
1
1
.
4
9
1
3
.
8
1
1
1
.
2
8
L
a
1
1
.
4
0
1
1
0
.
4
0
4
8
.
4
0
4
3
.
7
0
4
8
.
2
0
6
5
.
8
0
B
a
3
1
1
1
6
8
2
8
0
.
0
0
0
.
0
0
2
1
8
I
N
A
A
(
P
P
m
)
S
c
3
.
8
8
3
.
7
1
N
A
N
A
N
A
N
A
H
f
2
.
9
0
7
.
5
2
N
A
N
A
N
A
N
A
T
h
1
9
.
2
8
2
6
.
9
2
N
A
N
A
N
A
N
A
L
a
2
2
.
2
7
1
2
0
.
8
4
N
A
N
A
N
A
N
A
C
e
4
9
.
7
6
1
8
6
.
4
2
N
A
N
A
N
A
N
A
S
m
4
.
9
8
6
.
9
3
N
A
N
A
N
A
N
A
E
u
0
.
0
6
1
.
4
1
N
A
N
A
N
A
N
A
T
b
0
.
4
3
0
.
5
6
N
A
N
A
N
A
N
A
Y
b
1
.
9
2
1
.
6
8
N
A
N
A
N
A
N
A
L
u
0
.
2
6
0
.
2
3
N
A
N
A
N
A
N
A
S
t
r
a
t
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
 
2
2
1
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
N
u
m
b
e
r
 
R
2
6
-
1
1
R
2
6
-
1
3
R
2
6
-
1
6
R
2
6
-
1
7
R
2
6
-
1
8
R
2
6
-
2
2
R
2
6
-
2
4
 
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
 
 
 
 
 
5
1
0
2
7
3
.
9
2
7
1
.
8
7
7
5
.
2
7
7
3
.
6
8
7
3
.
4
1
7
5
.
0
7
7
5
.
2
3
T
i
O
2
0
.
2
2
0
.
3
2
0
.
1
6
0
.
2
0
0
.
1
8
0
.
1
8
0
.
1
6
A
l
g
h
1
2
.
4
7
1
3
.
4
5
1
2
.
0
6
1
3
.
2
2
1
3
.
0
7
1
2
.
1
3
1
2
.
2
6
F
e
O
0
.
9
1
1
.
3
8
0
.
7
4
0
.
9
9
1
.
0
1
0
.
8
6
0
.
7
6
M
n
O
0
.
0
5
0
.
0
6
0
.
0
5
0
.
0
4
0
.
0
5
0
.
0
5
0
.
0
4
M
g
O
0
.
2
5
0
.
3
8
0
.
1
0
0
.
5
7
0
.
3
9
0
.
1
7
0
.
1
4
C
a
O
0
.
8
0
0
.
8
8
0
.
5
5
0
.
4
8
0
.
5
4
0
.
5
1
0
.
5
0
N
a
g
)
2
.
8
9
2
.
9
8
2
.
9
1
2
.
5
8
2
.
3
7
2
.
4
6
2
.
5
3
K
g
)
6
.
0
2
5
.
9
6
5
.
5
9
5
.
0
3
5
.
8
8
6
.
0
3
6
.
0
4
n
g
0
.
0
3
0
.
0
5
0
.
0
2
0
.
0
2
0
.
0
2
0
.
0
2
0
.
0
1
T
o
t
a
l
9
7
.
5
6
9
7
.
3
3
9
7
.
4
5
9
6
.
8
1
9
6
.
9
2
9
7
.
4
8
9
7
.
6
7
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
P
p
m
)
C
r
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
N
i
4
.
3
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
1
.
4
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
1
7
.
5
0
3
5
.
7
0
2
3
.
1
0
2
6
.
0
0
3
1
.
6
0
3
0
.
0
0
1
9
.
6
0
R
b
1
1
9
.
7
5
1
1
8
.
1
9
1
5
4
.
9
0
1
2
3
.
8
7
1
5
6
.
2
0
1
5
1
.
2
3
1
4
2
.
0
2
S
r
5
3
.
3
1
8
6
.
2
6
1
4
.
9
0
1
8
.
4
1
2
9
.
1
0
1
1
.
4
4
2
3
.
8
4
Y
1
5
.
7
9
1
8
.
1
6
1
8
.
6
8
1
7
.
3
2
2
1
.
4
3
1
9
.
8
6
1
2
.
7
1
Z
r
1
6
7
.
9
7
2
4
9
.
6
7
1
1
4
.
0
3
1
3
6
.
5
1
1
2
7
.
0
8
1
3
3
.
3
4
1
1
6
.
6
8
N
b
1
1
.
3
7
1
0
.
5
0
1
3
.
5
5
1
5
.
2
8
1
7
.
3
6
1
5
.
6
1
1
4
.
4
8
L
a
6
6
.
7
0
8
1
.
1
0
2
8
.
6
0
2
8
.
2
0
6
3
.
3
0
6
2
.
0
0
4
8
.
2
0
B
a
7
3
2
8
6
0
.
0
0
2
0
0
.
0
0
0
.
0
0
6
4
I
N
A
A
(
p
p
m
)
S
C
N
A
N
A
N
A
N
A
N
A
N
A
N
A
H
f
N
A
N
A
N
A
N
A
N
A
N
A
N
A
T
h
N
A
N
A
N
A
N
A
N
A
N
A
N
A
L
a
N
A
N
A
N
A
N
A
N
A
N
A
N
A
C
e
N
A
N
A
N
A
N
A
N
A
N
A
N
A
S
m
N
A
N
A
N
A
N
A
N
A
N
A
N
A
E
u
N
A
N
A
N
A
N
A
N
A
N
A
N
A
T
b
N
A
N
A
N
A
N
A
N
A
N
A
N
A
Y
b
N
A
N
A
N
A
N
A
N
A
N
A
N
A
L
u
N
A
N
A
N
A
N
A
N
A
N
A
N
A
S
t
r
a
t
1
0
0
3
3
3
3
3
3
 
2
2
2
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
R
2
6
-
2
A
R
2
6
-
4
A
R
2
6
-
6
A
R
2
6
-
7
A
R
2
6
-
9
A
R
2
6
-
1
0
A
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
6
8
.
0
1
7
5
.
8
9
6
8
.
8
7
6
6
.
9
4
7
3
.
8
5
6
7
.
7
0
T
i
O
2
0
.
4
4
0
.
1
7
0
.
3
6
0
.
4
6
0
.
2
2
0
.
4
2
.
A
l
g
h
1
4
.
8
9
1
1
.
9
0
1
5
.
1
3
1
5
.
3
2
1
3
.
2
5
1
5
.
0
9
F
e
O
1
.
9
3
0
.
6
5
1
.
6
0
1
.
9
6
0
.
9
6
1
.
6
7
M
n
O
0
.
0
8
0
.
0
4
0
.
0
7
0
.
0
9
0
.
0
5
0
.
0
8
M
g
O
0
.
7
3
0
.
4
2
0
.
4
4
0
.
8
5
0
.
1
6
0
.
5
5
C
a
O
1
.
4
9
0
.
7
3
1
.
2
1
1
.
6
3
0
.
6
7
1
.
3
1
N
a
g
)
3
.
5
1
2
.
4
7
3
.
6
5
3
.
4
4
3
.
0
2
3
.
7
8
K
g
)
6
.
1
5
6
.
1
0
6
.
2
1
6
.
0
2
6
.
0
9
6
.
1
3
n
g
0
.
1
4
0
.
1
1
0
.
0
8
0
.
1
3
0
.
0
3
0
.
1
0
T
o
t
a
l
9
7
.
3
7
9
8
.
4
8
9
7
.
6
2
9
6
.
8
4
9
8
.
3
0
9
6
.
8
3
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
P
p
m
)
C
r
0
.
0
0
0
.
0
0
0
.
4
0
0
.
0
0
0
.
0
0
0
.
0
0
N
i
0
.
0
0
0
.
0
0
2
.
4
0
0
.
0
0
1
3
.
3
0
6
.
6
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
4
6
.
4
0
1
6
.
0
0
2
6
.
7
0
4
7
.
1
0
1
2
.
8
0
2
9
.
2
0
R
b
1
1
0
.
2
7
1
3
1
.
2
8
1
0
3
.
7
5
1
0
1
.
8
8
1
2
0
.
4
3
1
0
0
.
0
7
S
r
1
9
9
.
4
6
3
1
.
8
4
1
5
8
.
7
2
2
4
7
.
0
0
4
8
.
6
1
1
9
1
.
3
7
Y
1
5
.
6
1
1
8
.
4
4
1
6
.
6
3
1
9
.
1
8
1
6
.
2
6
1
7
.
0
0
Z
r
3
7
6
.
2
5
1
2
8
.
1
3
3
1
1
.
9
7
4
1
9
.
7
9
1
4
7
.
7
1
3
8
4
.
8
4
N
b
1
3
.
0
9
1
6
.
5
3
1
6
.
0
0
1
6
.
6
5
1
5
.
4
1
1
4
.
6
2
L
a
1
1
8
.
1
0
4
2
.
6
0
1
3
6
.
7
0
1
4
9
.
6
0
4
8
.
7
0
1
2
6
.
2
0
B
a
8
0
3
3
5
6
9
5
1
0
6
4
9
2
6
4
0
I
N
A
A
(
p
p
m
)
S
C
N
A
N
A
N
A
N
A
N
A
N
A
H
f
N
A
N
A
N
A
N
A
N
A
N
A
T
h
N
A
N
A
N
A
N
A
N
A
N
A
L
a
N
A
N
A
N
A
N
A
N
A
N
A
C
e
N
A
N
A
N
A
N
A
N
A
N
A
S
m
N
A
N
A
N
A
N
A
N
A
N
A
E
u
N
A
N
A
N
A
N
A
N
A
N
A
T
b
N
A
N
A
N
A
N
A
N
A
N
A
Y
b
N
A
N
A
N
A
N
A
N
A
N
A
L
u
N
A
N
A
N
A
N
A
N
A
N
A
S
t
r
a
t
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
 
2
2
3
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
N
u
m
b
e
r
 
R
2
6
-
1
3
A
R
2
6
-
1
4
A
R
2
6
-
1
6
A
R
2
6
-
1
7
A
 
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
 
 
 
 
 
S
i
O
2
7
5
.
3
5
7
4
.
4
5
6
6
.
0
1
7
0
.
5
9
T
i
O
2
0
.
1
7
0
.
0
9
0
.
4
6
0
.
2
5
A
1
2
0
3
1
2
.
1
2
1
2
.
4
0
1
5
.
2
2
1
2
.
6
3
F
e
O
0
.
8
7
0
.
5
1
2
.
0
2
1
.
0
2
M
n
O
0
.
0
5
0
.
0
6
0
.
0
8
0
.
0
6
M
9
0
0
.
1
1
0
.
0
0
0
.
8
7
1
.
0
0
C
a
O
0
.
6
1
0
.
5
3
2
.
0
1
1
.
7
7
N
a
g
)
2
.
4
0
3
.
0
6
3
.
5
2
2
.
7
8
K
g
)
6
.
3
2
5
.
9
0
6
.
1
3
5
.
8
8
n
g
0
.
0
5
0
.
0
1
0
.
1
7
0
.
1
2
T
o
t
a
l
9
8
.
0
5
9
7
.
0
1
9
6
.
4
9
9
6
.
1
0
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
N
i
1
0
.
1
0
9
.
1
0
1
.
2
0
3
.
1
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
1
7
.
5
0
5
.
7
0
4
2
.
7
0
2
3
.
0
0
R
b
1
3
9
.
6
2
2
4
3
.
5
8
9
7
.
6
6
1
0
5
.
8
9
S
r
2
2
.
8
2
0
.
0
0
2
7
2
.
9
8
1
0
3
.
6
6
Y
1
7
.
7
7
3
2
.
7
3
1
8
.
5
2
1
7
.
7
6
Z
r
1
1
6
.
8
7
6
9
.
8
3
4
2
8
.
0
9
2
0
0
.
0
5
N
b
1
6
.
0
7
3
4
.
6
8
1
4
.
8
1
1
2
.
0
1
L
a
4
6
.
5
0
1
2
.
4
0
1
2
6
.
8
0
7
7
.
6
0
B
a
2
1
7
0
.
0
0
1
2
6
4
2
4
5
I
N
A
A
(
p
p
m
)
S
c
N
A
N
A
N
A
N
A
H
f
N
A
N
A
N
A
N
A
T
h
N
A
N
A
N
A
N
A
L
a
N
A
N
A
N
A
N
A
C
e
N
A
N
A
N
A
N
A
S
m
N
A
N
A
N
A
N
A
E
u
N
A
N
A
N
A
N
A
T
b
N
A
N
A
N
A
N
A
Y
b
N
A
N
A
N
A
N
A
L
u
N
A
N
A
N
A
N
A
S
t
r
a
t
1
0
0
1
0
0
1
0
0
1
0
0
 
2
2
4
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
A
4
-
6
A
4
-
1
2
A
4
-
1
4
A
4
-
1
6
A
4
-
1
7
A
4
-
5
3
A
4
-
5
5
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
7
5
.
5
3
7
6
.
1
5
7
6
.
1
1
6
3
.
3
5
7
5
.
9
4
7
4
.
7
7
6
7
.
9
0
T
i
O
2
0
.
1
3
0
.
1
4
0
.
1
4
0
.
6
8
0
.
1
3
0
.
1
7
0
.
3
6
A
l
g
L
1
1
.
7
1
1
1
.
9
0
1
1
.
9
5
1
7
.
2
4
1
1
.
6
9
1
2
.
2
3
1
5
.
9
8
F
e
O
0
.
6
5
0
.
7
3
0
.
6
6
2
.
8
1
0
.
6
2
0
.
7
2
1
.
4
7
M
n
O
0
.
0
8
0
.
0
9
0
.
0
8
0
.
1
6
0
.
0
8
0
.
0
7
0
.
0
9
M
g
O
0
.
0
8
0
.
2
1
0
.
0
0
0
.
8
4
0
.
0
0
0
.
0
0
0
.
3
2
C
a
O
0
.
4
3
0
.
4
1
0
.
4
2
2
.
1
4
0
.
3
6
0
.
4
1
1
.
1
5
N
a
g
)
3
.
5
3
3
.
2
7
3
.
6
8
4
.
6
4
3
.
1
9
2
.
9
5
4
.
5
3
K
g
)
4
.
9
0
5
.
1
5
4
.
9
0
5
.
2
6
5
.
2
0
6
.
0
8
6
.
1
2
n
g
0
.
0
1
0
.
0
1
0
.
0
1
0
.
1
6
0
.
0
1
0
.
0
1
0
.
0
6
T
o
t
a
l
9
7
.
0
5
9
8
.
0
6
.
_
9
7
-
9
5
9
7
.
2
8
9
7
.
2
2
9
7
.
4
1
9
7
.
9
8
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
2
.
0
0
0
.
0
0
0
.
0
0
5
.
0
0
1
0
.
1
0
0
.
0
0
0
.
3
0
N
i
4
.
5
0
5
.
4
0
0
.
0
0
0
.
0
0
0
.
0
0
6
.
9
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
3
8
.
8
0
3
8
.
8
0
3
7
.
1
0
1
9
3
.
2
0
2
5
.
0
0
2
3
.
9
0
4
0
.
2
0
R
b
2
1
7
.
2
2
2
3
2
.
6
9
2
3
1
.
8
1
1
2
2
.
6
2
2
3
8
.
2
3
1
8
8
.
0
6
1
2
3
.
0
1
S
r
7
.
7
5
4
.
7
7
0
.
0
0
3
7
2
.
1
3
3
.
0
9
2
.
4
8
1
8
0
.
9
0
Y
3
1
.
4
6
2
8
.
5
7
3
4
.
1
9
2
8
.
8
8
3
1
.
3
1
3
9
.
2
7
2
8
.
8
0
Z
r
1
2
3
.
2
4
1
2
3
.
0
0
1
2
6
.
2
3
7
2
0
.
8
6
1
1
8
.
6
5
1
6
5
.
3
2
3
2
6
.
0
8
N
b
3
6
.
5
0
3
1
.
7
5
3
3
.
9
2
2
0
.
0
1
3
4
.
2
6
3
2
.
8
4
2
3
.
6
1
L
a
1
5
.
8
6
4
6
.
8
0
4
4
.
2
5
1
7
0
.
4
2
3
8
.
7
4
6
5
.
3
4
1
1
6
.
0
7
B
a
1
3
6
1
9
7
2
9
6
2
4
7
8
1
9
3
1
6
9
8
5
2
I
N
A
A
(
p
p
m
)
S
c
1
.
5
7
1
.
6
2
1
.
8
9
6
.
9
8
1
.
5
9
1
.
2
9
3
.
4
6
H
f
3
.
7
3
3
.
6
8
5
.
2
4
1
5
.
6
2
3
.
5
9
5
.
7
3
8
.
7
7
T
h
2
3
.
4
8
2
4
.
5
9
3
4
.
3
2
1
6
.
8
5
2
3
.
9
9
2
7
.
7
3
2
0
.
9
7
L
a
2
9
.
6
5
3
4
.
3
1
3
4
.
5
0
2
0
0
.
1
7
3
2
.
3
0
4
8
.
0
7
1
0
3
.
2
8
C
e
4
9
.
2
4
5
1
.
1
2
6
8
.
4
6
2
9
5
.
3
9
4
9
.
6
2
8
5
.
7
5
1
7
1
.
5
3
S
m
5
.
2
0
5
.
3
9
6
.
4
5
1
0
.
6
1
4
.
9
2
8
.
1
2
8
.
6
2
E
u
0
.
1
1
0
.
1
4
0
.
2
6
3
.
3
4
0
.
0
8
0
.
3
9
1
.
3
2
T
b
0
.
4
2
0
.
3
8
0
.
6
8
0
.
5
7
0
.
3
6
0
.
6
5
0
.
6
1
Y
b
1
.
3
5
1
.
4
2
4
.
3
1
2
.
4
5
1
.
2
5
3
.
7
3
3
.
1
7
L
u
0
.
2
0
0
.
2
4
0
.
4
1
0
.
4
0
0
.
2
0
0
.
3
6
0
.
3
3
S
t
r
a
t
1
0
1
0
1
0
1
0
1
0
1
6
0
1
6
0
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
N
u
m
b
e
r
 
 
 
 
 
 
 
A
4
-
6
9
A
4
-
7
0
A
4
-
7
5
A
5
-
2
A
5
-
3
A
5
-
4
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
z
7
5
.
0
4
7
0
.
4
2
6
1
.
3
8
6
7
.
5
2
7
5
.
8
7
6
8
.
7
1
T
i
O
2
0
.
1
3
0
.
3
2
0
.
7
5
0
.
4
3
0
.
1
3
0
.
3
0
A
l
g
h
1
1
.
8
1
1
4
.
3
5
1
6
.
9
0
1
5
.
5
1
1
1
.
8
0
1
4
.
4
7
F
e
O
0
.
6
7
1
.
3
5
3
.
1
6
1
.
5
3
0
.
5
6
1
.
2
6
M
n
O
0
.
0
8
0
.
0
9
0
.
1
2
0
.
1
1
0
.
0
8
0
.
0
9
M
g
O
0
.
0
3
0
.
1
9
1
.
6
1
0
.
6
1
0
.
0
0
0
.
9
1
C
a
O
0
.
3
7
0
.
9
1
2
.
5
2
0
.
9
1
0
.
3
5
1
.
7
8
N
a
g
)
2
.
8
9
3
.
7
4
4
.
2
1
4
.
1
5
3
.
1
7
3
.
6
6
K
g
)
5
.
9
5
6
.
0
2
5
.
2
7
6
.
1
2
5
.
3
5
5
.
9
7
n
g
0
.
0
1
0
.
0
5
0
.
3
3
0
.
0
6
0
.
0
1
0
.
0
7
T
o
t
a
l
9
6
.
9
8
9
7
.
4
4
9
6
.
2
5
9
6
.
9
5
9
7
.
3
2
9
7
.
2
2
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
P
p
m
)
C
r
5
.
8
0
4
.
2
0
5
.
9
0
0
.
0
0
0
.
0
0
4
.
4
0
N
i
6
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
2
3
.
9
0
3
1
.
0
0
6
7
.
7
0
5
2
.
9
0
6
6
.
1
0
4
4
.
0
0
R
b
2
1
1
.
5
8
1
4
6
.
8
9
8
2
.
2
9
1
3
5
.
9
1
2
1
1
.
2
9
1
5
5
.
1
4
S
r
0
.
0
0
1
3
1
.
0
8
4
7
8
.
5
6
7
7
.
6
2
2
.
4
2
1
7
4
.
1
7
Y
3
2
.
0
8
3
0
.
5
7
3
3
.
0
8
3
2
.
9
6
3
3
.
0
8
3
3
.
2
3
Z
r
1
2
8
.
8
6
2
9
6
.
7
8
8
1
8
.
3
3
4
4
4
.
3
0
1
1
6
.
9
9
2
9
2
.
7
7
N
b
3
3
.
3
5
2
7
.
0
2
2
0
.
4
9
2
3
.
7
7
2
9
.
2
1
2
6
.
9
2
L
a
3
5
.
5
9
7
8
.
5
9
1
4
6
.
1
6
1
4
0
.
1
4
5
1
.
5
3
7
6
.
1
9
B
a
1
3
1
6
2
0
3
8
2
0
3
6
6
7
4
6
2
2
I
N
A
A
(
P
P
m
)
S
c
1
.
6
3
2
.
7
1
6
.
8
7
4
.
0
0
1
.
3
4
2
.
6
7
—
H
f
5
.
0
6
5
.
7
0
1
6
.
7
0
1
1
.
2
1
4
.
7
7
8
.
8
7
T
h
3
2
.
4
6
1
8
.
2
1
1
3
.
5
2
2
1
.
5
7
2
9
.
9
4
2
1
.
8
3
L
a
3
1
.
7
8
7
4
.
2
1
1
5
0
.
9
4
1
4
8
.
6
5
2
9
.
7
1
8
9
.
9
8
C
e
6
4
.
2
6
1
0
3
.
4
1
2
2
8
.
9
8
2
4
0
.
9
6
5
9
.
7
1
1
4
9
.
8
4
S
m
5
.
5
6
7
.
8
3
9
.
7
5
1
0
.
9
5
5
.
6
3
8
.
2
4
E
u
0
.
3
1
0
.
8
0
3
.
3
8
1
.
5
4
0
.
2
1
1
.
0
3
T
b
0
.
6
7
0
.
5
8
0
.
5
6
0
.
7
3
0
.
7
4
0
.
7
4
Y
b
3
.
7
2
1
.
4
3
2
.
5
2
2
.
7
1
2
.
9
1
2
.
6
7
L
u
0
.
3
7
0
.
2
5
0
.
3
4
0
.
4
6
0
.
5
2
0
.
4
8
S
t
r
a
t
1
7
5
1
7
5
1
7
5
1
1
1
 
2
2
6
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
A
5
-
8
A
5
-
9
A
5
-
2
5
A
5
-
2
9
A
5
-
3
0
A
5
-
3
1
A
5
-
3
5
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
7
5
.
7
2
6
9
.
1
3
7
5
.
2
9
7
5
.
1
2
6
3
.
3
6
6
1
.
0
3
7
0
.
8
5
T
i
O
2
0
.
1
6
0
.
4
1
0
.
1
4
0
.
1
4
0
.
6
9
0
.
8
2
0
.
2
8
.
A
l
g
h
1
2
.
2
7
1
5
.
2
2
1
2
.
1
2
1
2
.
2
5
1
6
.
8
9
1
7
.
5
4
1
4
.
1
0
F
e
O
0
.
5
8
1
.
6
5
0
.
6
3
0
.
5
5
2
.
3
9
3
.
6
1
1
.
2
1
M
n
O
0
.
0
8
0
.
1
1
0
.
0
8
0
.
0
8
0
.
1
1
0
.
1
2
0
.
0
8
M
g
O
0
.
0
0
0
.
3
6
0
.
0
2
0
.
0
0
0
.
8
4
1
.
4
7
0
.
2
5
C
a
O
0
.
3
7
1
.
0
0
0
.
3
7
0
.
3
9
1
.
6
3
2
.
8
6
0
.
7
3
N
a
g
)
3
.
2
8
4
.
0
2
2
.
9
4
3
.
2
4
4
.
4
7
4
.
7
6
3
.
6
0
K
g
)
5
.
4
9
6
.
2
2
5
.
6
1
5
.
4
8
5
.
9
7
4
.
5
8
5
.
9
8
n
g
0
.
0
1
0
.
0
6
0
.
0
1
0
.
0
1
0
.
1
8
0
.
3
2
0
.
0
4
T
o
t
a
l
9
7
.
9
6
9
8
.
1
8
9
7
.
2
1
9
7
.
2
6
9
6
.
5
3
9
7
.
1
1
9
7
.
1
2
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
p
p
m
)
C
r
0
.
0
0
0
.
0
6
2
.
5
0
0
.
0
0
1
.
6
0
3
.
9
0
2
.
7
0
N
i
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
3
1
.
8
0
5
4
.
1
0
2
9
.
0
0
2
8
.
6
0
1
0
3
.
3
0
1
3
5
.
3
0
4
2
.
1
0
R
b
2
1
9
.
0
1
1
4
1
.
9
4
2
1
6
.
2
9
2
2
4
.
3
4
9
5
.
4
7
1
0
2
.
1
6
1
6
3
.
9
5
S
r
0
.
0
0
1
2
8
.
6
9
2
.
8
8
0
.
0
0
2
5
0
.
4
7
5
7
4
.
3
5
8
1
.
9
3
Y
3
4
.
0
4
3
2
.
1
1
3
4
.
2
3
3
7
.
0
0
2
9
.
1
0
3
7
.
2
2
3
2
.
2
8
Z
r
1
4
4
.
4
4
3
8
1
.
0
8
1
3
2
.
7
4
1
2
6
.
1
8
7
1
2
.
3
4
8
8
7
.
9
6
2
5
0
.
8
8
N
b
3
8
.
5
2
2
8
.
9
8
3
0
.
4
9
3
4
.
3
6
1
6
.
9
0
1
8
.
0
4
2
6
.
5
5
L
a
1
1
.
3
8
1
0
6
.
5
6
5
6
.
4
4
3
6
.
3
0
2
4
0
.
4
1
1
4
6
.
9
7
6
6
.
7
5
B
a
1
2
1
6
9
1
9
0
0
.
0
0
2
1
2
8
3
6
1
6
3
9
4
I
N
A
A
(
p
p
m
)
S
c
1
:
7
1
4
.
1
8
1
.
4
3
1
.
4
6
6
.
1
4
6
.
2
8
2
.
3
1
H
f
5
.
9
8
1
1
.
6
0
5
.
2
6
4
.
9
7
1
6
.
0
9
1
9
.
1
1
7
.
9
8
T
h
3
3
.
8
9
2
3
.
1
7
3
2
.
0
9
3
2
.
1
0
1
7
.
3
6
1
2
.
5
7
2
4
.
3
3
L
a
3
5
.
9
4
1
1
6
.
4
2
3
4
.
6
1
2
9
.
8
9
2
2
5
.
0
0
1
4
8
.
3
1
7
1
.
0
4
C
e
7
5
.
6
7
1
9
6
.
4
1
6
5
.
0
2
6
1
.
5
9
3
8
2
.
5
6
2
3
5
.
1
6
1
3
0
.
7
8
S
m
6
.
9
0
1
0
.
0
7
5
.
7
1
6
.
1
2
1
2
.
4
1
1
0
.
3
9
8
.
6
2
E
u
0
.
3
5
1
.
3
3
0
.
2
5
0
.
1
8
3
.
2
0
3
.
3
6
0
.
6
4
T
b
0
.
7
2
0
.
7
2
0
.
7
3
0
.
7
4
0
.
7
0
0
.
7
2
0
.
7
4
Y
b
3
.
2
4
2
.
8
0
2
.
8
8
2
.
9
9
2
.
3
4
2
.
5
2
2
.
7
2
L
u
0
.
6
3
0
.
5
3
0
.
5
5
0
.
5
4
0
.
4
1
0
.
4
7
0
.
4
7
S
t
r
a
t
1
1
3
0
3
0
3
0
3
0
3
0
 
2
2
7
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
A
5
-
3
7
A
5
-
5
6
A
5
-
5
8
A
5
-
6
3
A
5
-
6
5
A
5
-
6
8
A
5
-
6
9
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
7
5
.
5
1
7
5
.
6
1
6
7
.
3
8
6
0
.
2
3
6
7
.
9
7
7
2
.
3
1
5
9
.
4
3
T
i
O
2
0
.
1
4
0
.
1
4
0
.
3
8
0
.
8
7
0
.
4
4
0
.
2
3
0
.
9
6
.
A
l
g
h
1
1
.
8
6
1
1
.
8
9
1
5
.
6
7
1
7
.
4
7
1
5
.
6
0
1
3
.
8
3
1
7
.
4
5
F
e
O
0
.
6
8
0
.
5
5
1
.
4
2
3
.
7
2
1
.
6
2
1
.
0
2
4
.
3
0
M
n
O
0
.
0
8
0
.
0
6
0
.
1
0
0
.
1
2
0
.
1
1
0
.
0
8
0
.
1
2
M
9
0
0
.
0
0
0
.
0
0
0
.
3
2
1
.
5
1
0
.
2
7
0
.
1
1
1
.
7
0
C
a
O
0
.
3
5
0
.
3
0
1
.
1
1
3
.
1
5
0
.
9
3
0
.
7
2
3
.
2
9
N
a
g
)
3
.
1
0
2
.
9
7
4
.
1
8
4
.
6
3
4
.
1
5
3
.
7
2
4
.
4
8
K
g
)
5
.
4
7
5
.
8
3
6
.
6
7
4
.
9
3
6
.
6
3
5
.
9
3
4
.
8
1
n
g
0
.
0
1
0
.
0
0
0
.
0
6
0
.
3
4
0
.
0
7
0
.
0
3
0
.
3
9
T
o
t
a
l
9
7
.
2
0
9
7
.
3
6
9
7
.
2
9
9
6
.
9
7
9
7
.
7
9
9
7
.
9
8
9
6
.
9
3
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
P
p
m
)
C
r
0
.
0
0
0
.
0
0
1
.
2
0
0
.
0
0
0
.
0
0
0
.
0
0
8
.
2
0
N
i
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
8
.
3
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
Z
n
2
8
.
9
0
2
5
.
2
0
3
8
.
4
0
9
4
.
5
0
4
6
.
4
0
3
3
.
6
0
9
9
.
5
0
R
b
2
2
2
.
8
1
2
0
8
.
8
0
1
2
1
.
8
0
7
8
.
8
9
1
2
2
.
1
7
1
5
2
.
6
8
6
9
.
3
1
S
r
0
.
0
0
0
.
0
0
1
2
6
.
2
1
6
1
3
.
6
5
7
1
.
9
8
7
0
.
1
5
6
5
2
.
5
2
Y
3
3
.
5
5
3
4
.
4
6
3
1
.
7
5
3
1
.
6
1
3
4
.
9
0
3
2
.
2
3
3
2
.
2
0
Z
r
1
2
8
.
5
5
1
2
9
.
9
1
3
9
6
.
3
2
8
6
5
.
5
7
4
8
8
.
4
3
2
2
3
.
4
2
9
8
5
N
b
3
6
.
5
8
3
9
.
8
5
2
6
.
6
3
2
0
.
8
1
2
4
.
4
1
2
2
.
1
5
1
4
.
3
0
L
a
0
.
6
4
3
0
.
1
2
1
2
5
.
3
4
1
1
8
.
5
7
1
6
9
.
7
6
3
7
.
3
6
1
3
6
.
5
3
B
a
0
.
0
0
4
6
7
0
9
3
9
9
0
4
9
9
3
7
3
4
0
7
3
I
N
A
A
(
p
p
m
)
S
c
1
.
7
4
1
.
4
2
3
.
9
3
6
.
8
7
4
.
1
8
1
.
2
8
7
.
2
9
H
f
4
.
8
4
5
.
0
5
1
1
.
0
0
1
8
.
8
8
1
2
.
7
4
6
.
9
8
1
9
.
5
8
T
h
3
1
.
5
5
3
2
.
4
5
2
0
.
1
2
1
2
.
0
9
2
1
.
1
2
2
3
.
0
2
1
1
.
7
7
L
a
3
1
.
9
1
3
1
.
7
6
1
2
0
.
7
6
1
3
7
.
6
0
1
4
6
.
1
4
5
2
.
7
2
1
3
3
.
8
6
C
e
6
1
.
6
2
6
6
.
3
9
2
2
3
.
3
1
2
2
8
.
7
0
2
6
4
.
8
1
1
0
2
.
7
8
2
2
8
.
1
1
S
m
6
.
0
3
5
.
6
4
1
0
.
2
2
1
0
.
3
5
1
0
.
4
9
6
.
8
1
9
.
8
8
E
u
0
.
1
8
0
.
2
1
1
.
4
9
3
.
5
0
1
.
5
7
0
.
5
0
3
.
4
4
T
b
0
.
7
4
0
.
7
4
0
.
7
4
0
.
7
2
0
.
7
2
0
.
7
5
0
.
7
2
Y
b
2
.
9
1
3
.
0
5
2
.
6
8
2
.
3
7
2
.
8
0
2
.
6
6
2
.
3
6
L
u
0
.
5
2
0
.
5
6
0
.
4
4
0
.
4
0
0
.
5
3
0
.
4
6
0
.
4
1
S
t
r
a
t
3
0
9
0
9
0
9
0
9
0
9
0
1
0
0
 
2
2
8
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
A
5
-
7
1
A
5
-
7
2
A
5
-
7
5
A
5
-
7
9
A
2
1
—
1
8
A
2
1
-
1
9
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
5
1
0
2
6
5
.
0
2
6
1
.
8
6
5
7
.
6
8
7
4
.
9
0
7
5
.
1
1
7
4
.
5
2
T
i
O
z
0
.
5
4
0
.
6
9
1
.
1
1
0
.
1
3
0
.
1
4
0
.
1
3
A
l
g
h
1
6
.
6
1
1
7
.
5
8
1
7
.
6
9
1
2
.
1
6
1
2
.
1
3
1
2
.
6
3
F
e
O
1
.
8
4
3
.
0
1
4
.
9
0
0
.
6
4
0
.
7
2
0
.
7
2
M
n
O
0
.
1
0
0
.
1
1
0
.
1
2
0
.
0
7
0
.
0
8
0
.
0
8
M
9
0
0
.
5
2
1
.
1
1
2
.
1
7
0
.
2
1
0
.
0
0
0
.
3
2
C
a
O
1
.
3
1
2
.
5
2
4
.
0
8
0
.
4
7
0
.
4
1
0
.
3
5
N
a
g
)
4
.
2
8
4
.
2
7
4
.
6
0
2
.
7
4
3
.
5
5
2
.
9
9
K
g
)
6
.
7
7
5
.
2
8
4
.
2
0
6
.
2
1
5
.
0
7
5
.
3
0
P
g
h
0
.
1
1
0
.
2
3
0
.
4
7
0
.
0
1
0
.
0
1
0
.
0
1
T
o
t
a
l
9
7
.
1
0
9
6
.
6
6
9
7
.
0
2
9
7
.
5
4
9
7
.
2
2
9
7
.
0
5
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
C
r
4
.
2
0
2
.
3
0
0
.
0
0
1
.
2
0
0
.
0
0
0
.
0
0
N
i
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
C
u
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
.
0
0
0
.
0
0
Z
n
4
7
.
3
0
7
8
.
2
0
9
6
.
0
0
2
8
.
0
0
5
3
.
3
0
5
5
.
9
0
R
b
8
5
.
1
1
7
6
.
5
0
6
6
.
1
8
2
0
8
.
2
9
2
1
8
.
7
6
2
0
8
.
9
7
S
r
1
5
5
.
0
5
5
2
0
.
8
8
8
1
9
.
5
4
4
.
0
3
3
.
8
0
0
.
0
0
Y
2
8
.
2
1
3
0
.
1
7
2
9
.
7
7
2
9
.
4
7
3
0
.
0
6
2
7
.
6
4
Z
r
5
4
2
.
2
5
8
1
9
9
8
2
1
2
5
.
4
4
1
3
1
.
3
0
1
2
8
.
1
3
N
b
1
4
.
0
1
1
7
.
0
1
1
1
.
2
3
2
8
.
0
4
2
8
.
3
8
2
8
.
3
0
L
a
2
4
2
.
3
5
1
3
1
.
4
1
1
0
7
.
4
6
2
3
.
4
9
5
0
.
5
1
5
1
.
7
0
B
a
1
1
6
8
3
5
6
0
4
7
0
3
2
4
0
.
0
0
2
5
I
N
A
A
(
p
p
m
)
S
c
6
.
3
7
6
.
2
7
8
.
0
6
0
.
9
7
1
.
3
4
1
.
5
4
H
f
1
2
.
2
6
1
7
.
7
8
1
8
.
6
0
4
.
9
1
5
.
2
2
3
.
9
2
T
h
1
9
.
5
8
1
3
.
3
0
1
1
.
4
1
3
0
.
5
2
2
9
.
9
5
2
4
.
1
9
L
a
2
3
2
.
9
4
1
3
4
.
5
6
1
2
8
.
2
5
2
9
.
7
5
3
4
.
6
7
2
8
.
4
8
C
e
3
9
3
.
0
1
2
3
8
.
7
0
2
1
7
.
2
3
5
6
.
8
0
6
4
.
0
1
4
9
.
6
5
S
m
1
3
.
1
2
9
.
6
1
8
.
9
3
5
.
2
2
5
.
8
0
5
.
5
1
E
u
2
.
6
0
2
.
9
9
3
.
3
0
0
.
1
3
0
.
0
9
0
.
1
2
T
b
0
.
7
2
0
.
7
3
0
.
7
2
0
.
7
5
0
.
7
6
0
.
4
7
Y
b
2
.
3
7
2
.
5
4
2
.
4
0
2
.
9
7
3
.
1
1
1
.
3
0
L
u
0
.
4
9
0
.
4
4
0
.
3
1
0
.
5
1
0
.
5
5
0
.
2
2
S
t
r
a
t
1
0
0
1
0
0
1
0
0
1
0
0
3
3
 
'

.

—

-

‘

\

l

p

.

.

.

“

‘

N

J

t

"

,

(

I

)

>

4

b
e
"
3
(
Y
.
2
2
9
 
 
 
 
 
 
 
 
 
A
p
p
e
n
d
i
x
2
.
C
o
n
t
i
n
u
e
d
.
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
m
p
l
e
N
u
m
b
e
r
A
2
1
-
2
3
A
2
1
-
2
6
W
e
i
g
h
t
P
e
r
c
e
n
t
O
x
i
d
e
(
w
t
%
)
S
i
O
2
7
4
.
5
7
7
5
.
4
9
T
i
O
2
0
.
1
3
0
.
1
3
A
1
2
0
3
1
2
.
4
1
1
2
.
0
9
F
e
O
0
.
6
9
0
.
7
1
M
n
O
0
.
0
8
0
.
0
8
M
g
O
0
.
0
1
0
.
0
0
C
a
O
0
.
3
7
0
.
3
7
N
a
g
)
3
.
7
5
3
.
6
0
K
2
0
4
.
7
0
4
.
9
9
P
2
0
5
0
.
0
1
0
.
0
0
T
o
t
a
l
9
6
.
7
2
9
7
.
4
6
X
-
r
a
y
F
l
u
o
r
e
s
c
e
n
c
e
(
P
p
m
)
C
r
0
.
0
0
0
.
0
0
N
i
0
.
0
0
0
.
0
0
C
u
1
.
6
0
0
.
0
0
Z
n
5
5
.
3
0
5
4
.
2
0
R
b
2
1
7
.
9
0
2
2
2
.
2
3
S
r
4
.
7
9
2
.
4
2
Y
2
7
.
1
6
3
4
.
0
0
Z
r
1
2
0
.
0
8
1
2
5
.
5
2
N
b
3
1
.
0
3
3
1
.
1
5
L
a
4
4
.
2
7
3
4
.
2
2
B
a
1
2
8
1
0
4
I
N
A
A
(
p
p
m
)
S
c
1
.
5
8
1
.
6
9
H
f
5
.
3
1
5
.
5
8
T
h
3
1
.
9
6
3
2
.
7
6
L
a
3
3
.
0
6
3
2
.
0
4
C
e
5
7
.
8
4
6
9
.
9
0
S
m
5
.
2
4
6
.
1
3
E
u
0
.
1
7
0
.
1
6
T
b
0
.
7
5
0
.
7
4
Y
b
2
.
7
6
2
.
9
8
L
u
0
.
5
0
0
.
5
5
S
t
r
a
t
3
3
 
A
P
P
E
N
D
I
X
3
A
n
a
l
y
t
i
c
a
l
T
e
c
h
n
i
q
u
e
s
M
a
j
o
r
a
n
d
T
r
a
c
e
E
l
e
m
e
n
t
s
(
X
R
F
)
T
r
a
c
e
E
l
e
m
e
n
t
s
(
I
N
A
A
)
P
h
e
n
o
c
r
y
s
t
C
o
m
p
o
s
i
t
i
o
n
s
M
a
g
n
e
t
i
t
e
/
I
l
m
e
n
i
t
e
A
n
a
l
y
s
e
s
A
N
A
L
Y
T
I
C
A
L
T
E
C
H
N
I
Q
U
E
M
a
j
o
r
a
n
d
T
r
a
c
e
E
l
e
m
e
n
t
s
(
X
R
F
)
O
v
e
r
1
3
0
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
f
r
o
m
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
w
e
r
e
p
r
e
p
a
r
e
d
f
o
r
x
-
r
a
y
f
l
u
o
r
e
s
c
e
n
c
e
a
n
a
l
y
s
i
s
.
A
l
l
o
f
t
h
e
w
e
a
t
h
e
r
e
d
r
i
n
d
a
n
d
a
s
h
y
m
a
t
r
i
x
w
a
s
c
l
e
a
n
e
d
o
f
f
o
f
e
a
c
h
s
a
m
p
l
e
.
T
h
e
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
w
e
r
e
t
h
e
n
c
o
a
r
s
e
c
r
u
s
h
e
d
i
n
t
o
3
m
m
t
o
5
m
m
s
i
z
e
d
p
i
e
c
e
s
i
n
a
c
e
r
a
m
i
c
m
o
r
t
a
r
a
n
d
p
e
s
t
l
e
.
T
h
e
c
r
u
s
h
e
d
s
a
m
p
l
e
(
i
n
c
l
u
d
i
n
g
f
i
n
e
s
)
w
a
s
t
h
e
n
b
o
i
l
e
d
f
o
r
3
0
m
i
n
u
t
e
s
i
n
a
c
a
r
b
o
n
a
t
e
l
e
a
c
h
s
o
l
u
t
i
o
n
(
1
3
.
5
m
l
g
l
a
c
i
a
l
a
c
e
t
i
c
a
c
i
d
,
4
1
g
s
o
d
i
u
m
a
c
e
t
a
t
e
,
a
n
d
4
7
0
m
l
d
i
s
t
i
l
l
e
d
w
a
t
e
r
)
t
o
r
e
m
o
v
e
a
n
y
s
e
c
o
n
d
a
r
y
c
a
r
b
o
n
a
t
e
m
i
n
e
r
a
l
i
z
a
t
i
o
n
(
J
a
c
k
s
o
n
,
1
9
7
9
)
.
T
h
e
r
e
s
i
d
u
e
w
a
s
t
h
e
n
o
v
e
n
d
r
i
e
d
,
h
a
n
d
g
r
o
u
n
d
'
i
n
a
n
a
g
a
t
e
m
o
r
t
a
r
a
n
d
p
e
s
t
l
e
t
o
-
2
0
0
m
e
s
h
,
a
n
d
s
t
o
r
e
d
i
n
p
o
l
y
v
i
n
y
l
v
i
a
l
s
.
B
e
f
o
r
e
f
u
s
i
n
g
,
t
h
e
s
a
m
p
l
e
s
w
e
r
e
v
a
c
u
u
m
-
o
v
e
n
d
r
i
e
d
a
t
1
1
0
°
C
f
o
r
2
4
h
o
u
r
s
.
F
i
n
a
l
l
y
,
e
a
c
h
s
a
m
p
l
e
w
a
s
f
u
s
e
d
i
n
p
l
a
t
i
n
u
m
-
g
o
l
d
a
l
l
o
y
c
r
u
c
i
b
l
e
s
a
n
d
m
o
l
d
e
d
i
n
t
o
a
g
l
a
s
s
w
a
f
e
r
.
F
o
r
e
a
c
h
w
a
f
e
r
,
a
m
i
x
t
u
r
e
o
f
9
.
0
g
L
i
Z
B
4
O
7
,
1
.
0
9
s
a
m
p
l
e
,
a
n
d
0
.
1
6
g
N
H
3
N
O
4
w
a
s
u
s
e
d
(
a
l
l
w
e
i
g
h
t
s
+
/
-
0
.
0
0
0
5
9
)
.
F
o
r
a
l
l
s
a
m
p
l
e
s
,
a
l
l
m
a
j
o
r
-
e
l
e
m
e
n
t
o
x
i
d
e
s
a
n
d
e
l
e
v
e
n
t
r
a
c
e
e
l
e
m
e
n
t
s
w
e
r
e
c
o
l
l
e
c
t
e
d
b
y
a
n
a
u
t
o
m
a
t
e
d
R
i
g
a
k
u
(
S
-
M
a
x
)
X
-
r
a
y
f
l
u
o
r
e
s
c
e
n
c
e
(
X
R
F
)
s
p
e
c
t
r
o
m
e
t
e
r
a
t
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
.
T
h
e
C
r
i
s
s
m
a
t
r
i
x
a
b
s
o
r
p
t
i
o
n
p
a
r
a
m
e
t
e
r
w
a
s
u
s
e
d
t
o
c
o
r
r
e
c
t
a
l
l
m
a
j
o
r
-
e
l
e
m
e
n
t
X
R
F
a
n
a
l
y
s
e
s
(
C
r
i
s
s
,
1
9
8
0
)
.
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
(
U
S
G
S
)
w
h
o
l
e
-
r
o
c
k
s
t
a
n
d
a
r
d
s
2
3
0
2
3
1
w
e
r
e
r
u
n
w
i
t
h
e
a
c
h
s
a
m
p
l
e
s
e
t
a
s
b
o
t
h
k
n
o
w
n
a
n
d
u
n
k
n
o
w
n
s
a
m
p
l
e
s
.
R
e
s
u
l
t
s
o
f
t
h
e
U
S
G
S
s
t
a
n
d
a
r
d
s
r
u
n
a
s
u
n
k
n
o
w
n
s
a
r
e
l
i
s
t
e
d
i
n
T
a
b
l
e
A
3
a
(
m
a
j
o
r
e
l
e
m
e
n
t
s
)
a
n
d
T
a
b
l
e
A
3
b
(
t
r
a
c
e
e
l
e
m
e
n
t
s
)
a
l
o
n
g
w
i
t
h
t
h
e
p
u
b
l
i
s
h
e
d
c
o
n
c
e
n
t
r
a
t
i
o
n
s
.
T
r
a
c
e
e
l
e
m
e
n
t
s
d
e
t
e
r
m
i
n
e
d
b
y
X
R
F
i
n
c
l
u
d
e
C
r
,
N
i
,
C
u
,
Z
n
,
R
b
,
S
r
,
Y
,
Z
r
,
N
b
,
L
a
,
a
n
d
B
a
.
T
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
w
e
r
e
d
e
t
e
r
m
i
n
e
d
b
y
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
o
n
a
n
a
l
y
z
e
d
U
S
G
S
s
t
a
n
d
a
r
d
s
.
M
a
t
r
i
x
a
d
s
o
r
p
t
i
o
n
e
f
f
e
c
t
s
d
u
r
i
n
g
t
r
a
c
e
e
l
e
m
e
n
t
a
n
a
l
y
s
i
s
w
e
r
e
c
o
r
r
e
c
t
e
d
f
o
r
b
y
u
s
i
n
g
t
h
e
C
o
m
p
t
o
n
p
e
a
k
a
s
a
n
i
n
t
e
r
n
a
l
r
e
f
e
r
e
n
c
e
p
e
a
k
c
o
r
r
e
c
t
i
o
n
f
a
c
t
o
r
a
s
d
e
s
c
r
i
b
e
d
b
y
R
e
y
n
o
l
d
s
(
1
9
6
3
,
1
9
6
7
)
a
n
d
W
i
l
b
a
n
d
(
1
9
7
5
)
.
A
l
l
m
a
j
o
r
e
l
e
m
e
n
t
d
a
t
a
c
i
t
e
d
i
n
t
h
i
s
s
t
u
d
y
h
a
s
b
e
e
n
r
e
c
a
l
c
u
l
a
t
e
d
t
o
1
0
0
%
a
n
h
y
d
r
o
u
s
c
o
n
d
i
t
i
o
n
s
w
i
t
h
t
h
e
e
x
c
e
p
t
i
o
n
o
f
t
h
e
r
a
w
d
a
t
a
i
n
A
p
p
e
n
d
i
x
2
.
I
r
o
n
i
s
r
e
p
o
r
t
e
d
a
s
F
e
o
t
o
t
a
l
a
n
d
H
2
0
"
a
n
d
H
2
O
+
w
e
r
e
n
o
t
d
e
t
e
r
m
i
n
e
d
.
T
r
a
c
e
E
l
e
m
e
n
t
s
(
I
N
A
A
)
M
o
s
t
s
a
m
p
l
e
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
w
e
r
e
a
n
a
l
y
z
e
d
b
y
I
N
A
A
(
I
n
s
t
r
u
m
e
n
t
a
l
N
e
u
t
r
o
n
A
c
t
i
v
a
t
i
o
n
A
n
a
l
y
s
i
s
)
.
E
a
c
h
s
a
m
p
l
e
c
o
n
s
i
s
t
e
d
o
f
a
o
n
e
g
r
a
m
s
p
l
i
t
o
f
t
h
e
X
R
F
p
o
w
d
e
r
(
s
e
e
p
r
e
p
a
r
a
t
i
o
n
t
e
c
h
n
i
q
u
e
a
b
o
v
e
)
.
E
a
c
h
s
a
m
p
l
e
w
a
s
t
h
e
n
h
e
a
t
s
e
a
l
e
d
i
n
a
p
o
l
y
v
i
n
y
l
r
a
b
b
i
t
a
n
d
t
h
e
n
i
r
r
a
d
i
a
t
e
d
.
M
o
s
t
s
a
m
p
l
e
s
w
e
r
e
a
c
t
i
v
a
t
e
d
w
i
t
h
t
h
e
T
r
i
g
a
M
a
r
k
I
I
I
r
e
a
c
t
o
r
a
t
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
u
n
d
e
r
a
n
e
u
t
r
o
n
f
l
u
x
2
3
2
 
 
 
 
 
T
a
b
l
e
A
3
a
.
X
-
r
a
y
f
l
u
o
r
e
s
c
e
n
c
e
m
a
j
o
r
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
U
S
G
S
s
t
a
n
d
a
r
d
s
r
u
n
a
s
u
n
k
n
o
w
n
s
c
o
m
p
a
r
e
d
t
o
t
h
e
r
e
p
o
r
t
e
d
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
G
o
v
i
n
d
a
r
a
j
u
(
1
9
8
4
)
.
A
G
V
-
l
$
1
0
2
A
1
2
0
3
F
e
O
M
g
O
C
a
O
N
a
2
0
K
2
0
T
i
0
2
P
2
0
5
M
n
O
T
o
t
a
l
R
e
p
o
r
t
e
d
5
9
.
2
5
1
7
.
1
5
6
.
5
3
1
.
5
3
4
.
9
4
4
.
2
5
2
.
9
0
1
.
0
6
0
.
4
8
0
.
0
1
A
n
a
l
y
s
i
s
1
5
9
.
9
6
1
7
.
1
2
6
.
1
9
1
.
5
1
4
.
9
6
4
.
3
0
2
.
9
4
1
.
0
7
0
.
5
1
0
.
1
0
9
8
.
6
6
A
n
a
l
y
s
i
s
2
6
0
.
4
1
1
7
.
4
4
6
.
1
5
1
.
5
0
5
.
0
0
4
.
3
1
2
.
9
4
1
.
0
7
0
.
5
1
0
.
1
0
9
9
.
4
4
A
n
a
l
y
s
i
s
3
6
0
.
0
2
1
7
.
0
9
6
.
1
6
1
.
5
6
4
.
9
9
4
.
2
3
2
.
9
4
1
.
0
9
0
.
5
1
0
.
1
0
9
8
.
6
9
U
n
c
e
r
t
a
i
n
t
y
1
.
1
6
0
.
2
9
0
.
3
8
0
.
0
3
0
.
0
6
0
.
0
6
0
.
0
4
0
.
0
3
0
.
0
3
0
.
0
0
B
C
R
-
l
$
1
0
2
A
1
2
0
3
F
e
O
M
g
O
C
a
O
N
a
2
0
K
2
0
T
i
0
2
P
2
0
5
M
n
O
T
o
t
a
l
R
e
p
o
r
t
e
d
5
4
.
3
5
1
3
.
6
3
1
2
.
4
7
3
.
4
5
6
.
9
5
3
.
2
7
1
.
6
9
2
.
2
2
0
.
3
7
0
.
1
9
A
n
a
l
y
s
i
s
1
5
4
.
8
7
1
3
.
5
9
1
2
.
0
1
3
.
7
9
6
.
9
5
3
.
2
0
1
.
7
1
2
.
2
5
0
.
3
8
0
.
1
9
9
8
.
9
6
U
n
c
e
r
t
a
i
n
t
y
0
.
5
2
0
.
0
4
0
.
4
6
0
.
3
4
0
.
0
0
0
.
0
7
0
.
0
2
0
.
0
3
0
.
0
1
0
.
0
0
G
S
P
-
l
$
1
0
2
A
1
2
0
3
F
e
O
M
g
O
C
a
O
N
a
2
0
K
2
0
T
1
0
2
P
2
0
5
M
n
O
T
o
t
a
l
R
e
p
o
r
t
e
d
6
7
.
3
7
1
5
.
1
6
4
.
0
6
0
.
9
9
2
.
0
4
2
.
8
0
5
.
5
1
0
.
6
6
0
.
2
8
0
.
0
4
A
n
a
l
y
s
i
s
1
6
7
.
2
9
1
4
.
9
3
3
.
7
9
1
.
0
0
2
.
0
7
2
.
8
0
5
.
5
2
0
.
6
7
0
.
2
9
0
.
0
4
9
8
.
3
9
U
n
c
e
r
t
a
i
n
t
y
0
.
0
8
0
.
2
3
0
.
2
7
0
.
0
1
0
.
0
3
0
.
0
0
0
.
0
1
0
.
0
1
0
.
0
1
0
.
0
0
G
-
l
8
1
0
2
A
1
2
0
3
F
e
O
M
g
O
C
a
O
N
a
2
0
K
2
0
'
T
i
0
2
P
2
0
5
M
n
O
T
o
t
a
l
R
e
p
o
r
t
e
d
7
2
.
4
6
1
4
.
2
3
1
.
8
5
0
.
3
9
1
.
3
8
3
.
3
3
5
.
4
8
0
.
2
5
0
.
0
9
0
.
0
3
A
n
a
l
y
s
i
s
1
7
1
.
7
5
1
4
.
2
4
1
.
8
8
0
.
3
9
1
.
3
3
3
.
3
7
5
.
5
0
0
.
2
6
0
.
0
9
0
.
0
3
9
8
.
8
3
U
n
c
e
r
t
a
i
n
t
y
0
.
7
1
0
.
0
1
0
.
0
3
0
.
0
0
0
.
0
5
0
.
0
4
0
.
0
2
0
.
0
1
0
.
0
0
0
.
0
0
G
-
2
S
i
0
2
A
1
2
0
3
F
e
O
M
g
O
C
a
O
N
a
2
0
K
2
0
T
1
0
2
P
2
0
5
M
n
O
T
o
t
a
l
R
e
p
o
r
t
e
d
6
9
.
0
4
1
5
.
1
4
2
.
5
2
0
.
7
6
1
.
9
7
4
.
0
7
4
.
4
9
0
.
5
0
0
.
1
4
0
.
0
3
A
n
a
l
y
s
i
s
1
6
9
.
6
1
1
5
.
4
4
2
.
3
8
0
.
7
4
1
.
9
8
4
.
0
7
4
.
4
8
0
.
4
9
0
.
1
3
0
.
0
3
9
9
.
3
5
A
n
a
l
y
s
i
s
2
6
9
.
6
2
1
5
.
4
6
2
.
3
6
0
.
7
9
1
.
9
9
4
.
1
2
4
.
4
8
0
.
4
8
0
.
1
4
0
.
0
3
9
9
.
4
7
A
n
a
l
y
s
i
s
3
6
9
.
7
4
1
5
.
6
0
2
.
3
6
0
.
7
6
1
.
9
9
4
.
1
4
4
.
4
8
0
.
5
0
0
.
1
4
0
.
0
3
9
9
.
7
5
A
n
a
l
y
s
i
s
4
6
9
.
2
6
1
5
.
1
8
2
.
3
7
0
.
7
7
2
.
0
0
4
.
0
6
4
.
4
8
0
.
5
0
0
.
1
4
0
.
0
3
9
8
.
7
7
A
n
a
l
y
s
i
s
5
6
9
.
6
2
1
5
.
3
4
2
.
3
5
0
.
7
4
2
.
0
0
4
.
0
4
4
.
4
8
0
.
4
9
0
.
1
4
0
.
0
3
9
9
.
2
2
U
n
c
e
r
t
a
i
n
t
y
0
.
7
0
0
.
4
6
0
.
1
7
0
.
0
3
0
.
0
3
0
.
0
7
0
.
0
1
0
.
0
2
0
.
0
1
0
.
0
0
 
2
3
3
 
T
a
b
l
e
A
3
a
.
C
o
n
t
i
n
u
e
d
.
W
—
l
$
1
0
2
A
1
2
0
3
F
e
O
M
g
O
C
a
O
N
a
2
0
K
2
0
T
i
0
2
P
2
0
5
M
n
O
T
o
t
a
l
R
e
p
o
r
t
e
d
5
2
.
5
5
1
4
.
9
9
1
0
.
2
1
6
.
6
2
1
0
.
9
4
2
.
1
3
0
.
6
4
1
.
0
7
0
.
1
4
0
.
1
7
A
n
a
l
y
s
i
s
1
5
2
.
3
8
1
4
.
8
9
1
0
.
1
3
6
.
6
9
1
0
.
9
7
2
.
1
5
0
6
4
1
1
0
0
.
1
4
0
.
1
7
9
9
.
2
7
A
n
a
l
y
s
i
s
2
5
2
.
7
2
1
5
.
0
8
9
.
9
3
6
.
6
0
1
0
.
8
7
2
.
0
9
0
6
3
1
0
8
0
.
1
5
0
.
1
7
9
9
.
3
2
U
n
c
e
r
t
a
i
n
t
y
0
.
2
2
0
.
1
0
0
.
2
8
0
.
0
7
0
.
0
7
0
.
0
4
0
0
1
0
0
3
0
.
0
1
0
.
0
0
 
2
3
4
 
 
T
a
b
l
e
A
3
b
.
X
-
r
a
y
f
l
u
o
r
e
s
c
e
n
c
e
t
r
a
c
e
e
l
e
m
e
n
t
c
o
n
c
e
n
t
r
a
t
i
o
n
s
o
f
U
S
G
S
s
t
a
n
d
a
r
d
s
r
u
n
a
s
u
n
k
n
o
w
n
s
c
o
m
p
a
r
e
d
t
o
r
e
p
o
r
t
e
d
c
o
n
c
e
n
t
r
a
t
i
o
n
s
i
n
G
o
v
i
n
d
a
r
a
j
u
(
1
9
8
4
)
.
A
G
V
-
l
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
1
2
1
7
6
0
8
8
6
7
6
6
0
2
1
2
2
5
1
5
3
7
1
2
2
0
A
n
a
l
y
s
i
s
1
1
9
.
5
1
2
.
8
6
6
.
2
8
3
7
8
6
6
7
2
4
.
8
2
2
9
1
8
.
7
5
1
.
0
1
4
4
4
A
n
a
l
y
s
i
s
2
2
6
.
0
4
.
1
6
5
.
7
9
1
6
8
6
6
5
2
5
.
0
2
2
7
1
0
.
2
3
2
.
9
1
2
4
9
A
n
a
l
y
s
i
s
3
1
6
.
7
5
.
2
5
6
.
1
8
8
7
0
6
6
2
2
5
.
2
2
2
7
7
.
5
5
8
.
8
1
1
8
4
A
n
a
l
y
s
i
s
4
2
5
.
1
2
.
2
6
4
.
4
9
4
6
9
6
6
2
2
4
.
7
2
2
7
8
.
4
4
0
.
2
1
1
0
8
A
n
a
l
y
s
i
s
5
7
.
3
3
.
3
4
8
.
5
9
0
7
2
6
6
3
2
5
.
1
2
3
1
1
4
.
1
,
4
3
.
1
1
3
8
2
A
n
a
l
y
s
i
s
6
2
1
.
4
0
.
2
5
0
.
6
9
1
7
2
6
5
8
2
5
.
3
2
3
1
1
1
.
5
0
.
0
1
0
9
2
A
n
a
l
y
s
i
s
7
2
1
.
4
0
.
2
5
0
.
6
9
1
7
2
6
5
8
2
5
.
3
2
3
1
1
1
.
5
0
.
0
1
0
9
2
A
n
a
l
y
s
i
s
8
7
.
3
3
.
3
4
8
.
5
9
0
7
2
6
6
3
2
5
.
1
2
1
4
1
4
.
1
4
3
.
1
1
3
8
7
A
n
a
l
y
s
i
s
9
1
7
.
6
1
1
.
6
6
4
.
1
8
9
7
2
6
5
7
2
7
.
1
2
2
8
1
1
.
0
3
4
.
3
1
1
0
4
A
n
a
l
y
s
i
s
1
0
1
4
.
3
1
3
.
4
6
2
.
0
8
5
6
8
6
6
3
2
6
.
7
2
3
0
9
.
7
4
5
.
9
1
1
9
3
A
n
a
l
y
s
i
s
1
1
6
.
6
1
4
.
0
6
1
.
2
9
2
7
0
6
6
3
2
4
.
8
2
2
8
8
.
1
3
8
.
4
1
1
6
9
A
n
a
l
y
s
i
s
1
2
1
5
.
1
2
0
.
5
5
8
.
6
8
7
7
0
6
6
4
2
4
.
4
2
2
6
6
.
8
3
8
.
8
1
2
8
7
U
n
c
e
r
t
a
i
n
t
y
1
4
.
0
1
6
.
8
1
1
.
5
6
1
1
7
6
.
1
1
1
8
.
2
3
7
.
0
2
2
4
M
e
a
n
1
6
.
5
7
.
6
5
8
.
0
8
9
7
1
6
6
2
2
5
.
3
2
2
7
1
1
.
0
3
5
.
5
1
2
2
4
S
t
d
.
d
e
v
.
6
.
7
6
.
6
6
.
9
3
3
3
0
.
8
5
3
.
4
1
8
.
0
1
2
5
S
E
M
e
a
n
1
.
9
1
.
9
2
.
0
1
1
1
0
.
2
1
1
.
0
5
.
2
3
6
B
C
R
-
l
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
1
6
1
3
1
8
1
2
9
4
7
3
3
0
3
9
1
9
1
1
4
2
5
6
7
8
A
n
a
l
y
s
i
s
1
3
5
.
5
8
.
8
1
4
.
1
1
2
5
5
1
3
2
8
2
5
.
5
1
7
6
1
2
.
7
3
0
.
6
6
8
2
A
n
a
l
y
s
i
s
2
4
3
.
1
1
3
.
6
1
6
.
5
1
2
9
5
4
3
3
0
3
2
.
0
1
7
8
1
7
.
6
3
1
.
4
5
8
6
A
n
a
l
y
s
i
s
3
4
7
.
2
1
0
.
1
1
6
.
7
1
2
5
5
2
3
3
0
3
2
.
8
1
7
8
1
3
.
5
2
4
.
1
7
1
4
A
n
a
l
y
s
i
s
4
3
1
.
4
2
5
.
5
8
.
1
1
2
8
5
5
3
3
2
3
0
.
0
1
8
0
1
2
.
4
4
6
.
1
8
0
9
A
n
a
l
y
s
i
s
5
3
7
.
1
1
9
.
0
3
.
8
1
2
5
4
8
3
2
7
3
0
.
5
1
7
8
1
0
.
6
8
.
1
7
4
3
U
n
c
e
r
t
a
i
n
t
y
3
1
.
2
1
2
.
5
1
4
.
2
4
8
3
1
3
.
5
1
5
3
.
6
2
1
.
1
1
3
1
M
e
a
n
3
8
.
9
1
5
.
4
1
1
.
8
1
2
6
5
2
3
2
9
3
0
1
7
8
1
3
.
4
2
8
.
1
7
0
7
S
t
d
.
d
e
v
.
6
.
3
6
.
9
5
.
7
2
3
2
2
.
8
1
2
.
6
1
3
.
8
8
2
S
E
M
e
a
n
2
.
8
3
.
1
2
.
5
1
1
1
1
.
3
1
1
.
2
6
.
2
3
7
 
2
3
5
T
a
b
l
e
A
3
b
.
C
o
n
t
i
n
u
e
d
.
 
 
G
-
l
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
2
0
<
1
1
2
4
5
2
1
5
2
4
9
1
3
2
0
1
2
0
1
0
4
1
0
8
0
A
n
a
l
y
s
i
s
1
1
6
.
1
0
.
0
1
2
.
2
4
4
2
1
3
2
4
4
2
7
.
1
1
9
8
1
8
.
0
1
1
7
.
5
9
1
1
A
n
a
l
y
s
i
s
2
2
3
.
6
0
.
0
1
6
.
4
4
6
2
1
3
2
5
1
3
8
.
1
2
0
1
2
4
.
1
9
4
.
2
8
8
7
A
n
a
l
y
s
i
s
3
1
4
.
5
1
.
4
1
6
.
3
4
4
2
1
3
2
4
9
3
6
.
8
2
0
1
2
3
.
6
1
1
6
.
4
9
7
9
A
n
a
l
y
s
i
s
4
2
6
.
7
1
.
1
8
.
1
4
7
2
1
4
2
4
6
3
4
.
4
1
9
7
2
1
.
6
8
8
.
7
1
1
4
9
A
n
a
l
y
s
i
s
5
1
9
.
4
1
0
.
0
1
0
.
7
4
3
2
1
2
2
4
3
3
3
.
0
1
9
6
2
0
.
2
8
0
.
4
1
0
8
6
A
n
a
l
y
s
i
s
6
0
.
0
1
8
.
2
1
5
.
6
4
0
2
0
2
2
4
1
3
3
.
2
1
9
8
1
6
.
3
8
0
.
5
1
1
3
0
U
n
c
e
r
t
a
i
n
t
y
2
0
.
0
1
8
.
2
4
.
4
5
1
3
8
2
5
.
1
5
4
.
1
2
4
.
5
1
9
3
M
e
a
n
1
6
.
7
5
.
1
1
3
.
2
4
4
2
1
1
2
4
6
3
3
.
8
1
9
9
2
0
.
6
9
6
.
3
1
0
2
4
S
t
d
.
d
e
v
.
9
.
4
7
.
5
3
.
4
3
5
4
3
8
2
3
.
1
1
6
.
8
1
1
3
S
E
M
e
a
n
3
.
8
3
.
0
1
.
4
1
2
2
1
6
1
1
.
3
6
.
9
4
6
G
-
2
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
9
5
1
1
8
5
1
7
0
4
7
8
1
1
.
4
3
0
0
1
3
9
0
1
8
8
0
A
n
a
l
y
s
i
s
1
1
0
.
3
2
8
.
6
6
.
4
9
3
1
7
5
4
7
7
2
5
.
9
3
0
6
1
7
.
4
7
5
.
5
2
1
2
6
A
n
a
l
y
s
i
s
2
3
7
.
5
2
5
.
5
1
7
.
9
1
0
3
1
7
4
4
7
5
2
6
.
3
3
0
7
5
.
8
8
0
.
9
1
7
1
4
A
n
a
l
y
s
i
s
3
1
8
.
1
1
9
.
7
4
.
6
9
6
1
7
2
4
7
4
2
6
.
0
3
0
5
1
2
.
4
8
3
.
1
1
9
2
2
A
n
a
l
y
s
i
s
4
1
6
.
6
2
2
.
5
1
1
.
2
9
8
1
7
2
4
7
3
2
6
.
1
3
0
6
1
2
.
1
9
7
.
4
1
8
2
4
A
n
a
l
y
s
i
s
5
1
3
.
4
1
7
.
3
0
.
0
9
6
1
7
2
4
7
5
2
6
.
2
3
0
6
1
4
.
4
6
7
.
6
2
0
5
5
A
n
a
l
y
s
i
s
6
1
3
.
4
1
7
.
3
0
.
0
9
6
1
7
2
4
7
5
2
6
.
2
3
1
0
1
4
.
4
6
7
.
6
2
0
4
1
A
n
a
l
y
s
i
s
7
2
2
.
5
1
9
.
9
7
.
3
9
1
1
7
4
4
7
2
3
2
.
5
3
0
4
8
.
3
9
7
.
3
1
8
6
9
A
n
a
l
y
s
i
s
8
9
.
4
2
0
.
8
7
.
9
9
4
1
7
0
4
6
9
3
0
.
8
3
0
6
9
.
9
7
1
.
0
1
8
6
6
A
n
a
l
y
s
i
s
9
6
.
8
2
2
.
9
3
.
8
9
6
1
7
3
4
7
1
2
9
.
7
3
0
5
7
.
8
9
2
.
1
1
8
7
7
A
n
a
l
y
s
i
s
1
0
1
3
.
4
2
9
.
0
0
.
1
9
0
1
7
0
4
7
0
2
9
.
1
3
0
5
7
.
3
6
7
.
3
2
1
3
7
U
n
c
e
r
t
a
i
n
t
y
2
8
.
5
2
3
.
6
1
1
.
0
1
8
5
9
2
1
.
1
1
0
7
.
2
2
2
.
7
2
5
7
M
e
a
n
1
6
.
1
2
2
.
4
5
.
9
9
5
1
7
2
4
7
3
2
7
.
9
3
0
6
1
1
.
0
8
0
.
0
1
9
4
3
S
t
d
.
d
e
v
.
8
.
8
4
.
2
5
.
7
4
2
3
2
.
4
2
3
.
8
1
2
.
2
1
4
0
S
E
M
e
a
n
2
8
1
.
3
1
.
8
1
1
1
0
.
8
1
1
.
2
3
.
8
4
4
 
2
3
6
 
 
 
T
a
b
l
e
A
3
b
.
C
o
n
t
i
n
u
e
d
.
G
S
P
-
l
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
1
3
1
0
3
4
1
0
3
2
5
4
2
3
4
2
9
5
3
0
2
6
1
8
5
1
3
1
0
A
n
a
l
y
s
i
s
1
1
7
.
3
9
.
1
6
2
.
8
1
0
7
2
5
7
2
1
8
2
9
.
4
4
9
4
2
5
.
9
2
1
1
.
8
1
2
2
3
A
n
a
l
y
s
i
s
2
2
.
7
1
2
.
9
5
1
.
7
9
8
2
5
6
2
2
1
2
9
.
2
4
9
7
2
3
.
8
1
7
7
.
4
1
2
4
3
A
n
a
l
y
s
i
s
3
9
.
0
1
1
.
7
5
2
.
7
1
0
0
2
5
4
2
2
6
4
8
.
0
4
9
6
2
6
.
7
1
9
4
.
7
1
3
7
9
A
n
a
l
y
s
i
s
4
1
5
.
5
1
4
.
3
5
9
.
1
1
0
5
2
5
9
2
2
7
4
6
.
7
4
9
5
2
8
.
5
1
7
5
.
2
1
4
0
0
A
n
a
l
y
s
i
s
5
9
.
8
1
8
.
9
5
6
.
9
1
0
2
2
5
5
2
2
5
4
3
.
2
4
9
7
2
5
.
3
1
7
9
.
7
1
3
3
0
A
n
a
l
y
s
i
s
6
2
.
4
1
8
.
9
5
6
.
1
9
9
2
5
6
2
2
0
4
3
.
0
5
0
3
2
5
.
2
1
5
2
.
7
1
3
7
9
U
n
c
e
r
t
a
i
n
t
y
1
0
.
6
8
.
9
2
8
.
8
5
5
1
6
1
9
.
0
3
6
2
.
5
2
6
.
8
9
0
M
e
a
n
9
.
5
1
4
.
3
5
6
.
6
1
0
2
2
5
6
2
2
3
3
9
.
9
4
9
7
2
5
.
9
1
8
1
.
9
1
3
2
6
S
t
d
.
D
e
v
.
6
.
2
4
.
0
4
.
1
4
2
4
8
.
5
3
1
.
6
1
9
.
9
7
6
S
E
M
e
a
n
2
.
5
1
.
6
1
.
7
2
1
2
3
.
5
l
0
.
7
8
.
1
3
1
M
R
G
-
l
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
4
5
0
1
9
5
1
3
5
1
9
0
8
2
6
0
1
6
1
0
5
2
0
1
0
5
0
A
n
a
l
y
s
i
s
1
4
4
9
.
1
9
3
.
6
7
.
6
1
8
8
7
2
6
9
2
3
.
2
1
1
3
2
3
.
5
1
1
.
1
6
4
U
n
c
e
r
t
a
i
n
t
y
0
.
1
.
6
7
.
2
1
7
.
2
8
3
.
5
1
.
1
1
4
R
G
M
-
l
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
4
6
1
1
3
6
1
5
5
1
0
0
2
5
2
0
0
9
.
4
2
3
8
0
0
A
n
a
l
y
s
i
s
1
8
.
3
0
.
0
3
3
.
3
2
8
1
4
6
1
0
8
3
5
.
8
1
9
8
1
2
.
4
2
6
.
1
7
6
1
A
n
a
l
y
s
i
s
2
0
.
0
0
.
0
2
5
.
9
3
3
1
5
3
1
0
7
3
3
.
7
2
0
0
1
5
.
0
4
3
.
2
6
6
7
A
n
a
l
y
s
i
s
3
3
.
2
0
.
0
3
9
.
4
2
9
1
5
0
1
0
2
3
3
.
4
1
9
7
7
.
8
1
0
.
4
7
1
5
A
n
a
l
y
s
i
s
4
0
.
0
8
.
8
2
3
.
0
2
6
1
3
8
9
8
3
0
.
9
1
9
7
1
0
.
6
2
5
.
3
8
6
1
U
n
c
e
r
t
a
i
n
t
y
4
.
3
6
.
0
2
8
.
4
1
0
1
7
8
1
0
.
8
3
5
.
6
2
0
.
2
1
3
3
M
e
a
n
2
.
9
2
.
2
3
0
.
4
2
9
1
4
7
1
0
4
3
3
.
5
1
9
8
1
1
.
5
2
6
.
3
7
5
1
S
t
d
.
d
e
v
.
3
.
9
4
.
4
7
.
4
3
7
5
2
.
0
1
3
.
0
1
3
.
4
8
3
S
E
M
e
a
n
2
.
0
2
.
2
3
.
7
2
3
2
1
.
0
1
1
.
5
6
.
7
4
1
 
2
3
7
 
 
 
T
a
b
l
e
A
3
b
.
C
o
n
t
i
n
u
e
d
.
S
T
M
-
l
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
4
3
4
2
4
0
1
2
0
7
0
0
4
6
1
3
0
0
2
2
0
1
5
0
5
6
0
A
n
a
l
y
s
i
s
1
0
.
8
8
.
4
8
6
.
1
2
4
0
1
1
9
7
0
7
4
5
.
8
1
0
5
6
2
6
9
.
7
1
4
6
.
6
5
8
7
A
n
a
l
y
s
i
s
2
3
.
5
2
.
0
8
2
.
5
2
3
9
1
1
6
7
0
4
4
5
.
9
1
0
6
3
2
6
9
.
6
1
6
2
.
2
5
2
2
A
n
a
l
y
s
i
s
3
1
4
.
1
1
0
.
7
8
1
.
2
2
3
7
1
2
0
7
0
4
4
0
.
9
1
0
6
6
2
6
9
.
7
1
6
3
.
6
5
4
3
A
n
a
l
y
s
i
s
4
1
.
2
3
.
8
3
.
8
2
3
9
1
1
6
7
0
9
3
9
.
6
1
0
6
7
2
7
2
.
5
1
5
0
.
2
5
2
4
U
n
c
e
r
t
a
i
n
t
y
1
0
.
1
7
.
7
8
2
.
1
3
4
9
6
.
4
2
4
4
5
2
.
5
1
3
.
6
3
8
M
e
a
n
4
.
9
6
.
2
6
3
.
4
2
3
9
1
1
8
7
0
6
4
3
.
1
1
0
6
3
2
7
0
.
4
1
5
5
.
7
5
4
4
S
t
d
.
d
e
v
.
6
.
3
4
.
0
3
9
.
8
1
2
3
3
.
3
5
1
.
4
8
.
5
3
0
S
E
M
e
a
n
3
1
2
.
0
1
9
.
9
1
1
1
1
.
6
3
0
.
7
4
.
3
1
5
W
-
l
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
1
2
0
7
5
1
1
4
8
4
2
1
1
8
7
2
6
1
0
0
8
1
1
1
6
2
A
n
a
l
y
s
i
s
1
1
2
9
.
1
8
1
.
4
1
0
9
.
4
7
7
3
3
1
9
4
2
4
.
3
1
0
1
1
9
.
8
1
2
.
4
2
8
0
A
n
a
l
y
s
i
s
2
1
2
3
.
7
7
1
.
5
1
0
7
.
6
8
3
2
2
1
8
9
2
4
.
4
9
7
1
0
.
8
1
.
1
1
4
0
A
n
a
l
y
s
i
s
3
1
2
2
.
0
7
6
.
8
1
1
9
.
7
9
1
1
9
1
8
4
2
4
.
2
1
0
0
9
.
3
2
6
.
9
1
4
3
A
n
a
l
y
s
i
s
4
1
1
9
.
4
6
9
.
5
9
2
.
2
8
4
2
3
1
9
3
2
4
.
3
1
0
3
1
3
.
9
0
.
0
3
1
4
A
n
a
l
y
s
i
s
5
1
1
9
.
4
6
9
.
5
9
2
.
2
8
4
2
3
1
9
3
2
4
.
3
4
9
1
3
.
9
0
.
0
3
4
8
A
n
a
l
y
s
i
s
6
1
2
0
.
8
7
8
.
1
1
0
4
.
6
8
0
2
2
1
8
9
2
3
.
5
1
0
0
1
0
.
6
1
8
.
7
1
8
9
A
n
a
l
y
s
i
s
7
1
1
6
.
1
7
4
.
6
1
0
7
.
4
7
9
2
2
1
9
2
2
4
.
2
1
0
1
7
.
9
2
0
.
2
1
8
3
A
n
a
l
y
s
i
s
8
1
1
5
.
8
7
0
.
5
1
0
9
.
5
7
8
2
0
1
8
9
2
3
.
2
1
0
2
1
1
.
2
9
.
2
2
4
6
A
n
a
l
y
s
i
s
9
1
1
6
.
8
7
2
.
5
1
1
1
.
6
7
6
2
0
1
8
8
2
2
.
3
9
7
1
1
.
8
7
.
4
3
0
U
n
c
e
r
t
a
i
n
t
y
9
.
1
6
.
4
2
1
.
8
8
1
2
7
3
.
7
5
1
1
1
.
8
1
5
.
9
1
8
6
M
e
a
n
1
2
0
.
3
7
3
.
8
1
0
6
.
0
8
1
2
3
1
9
0
2
3
.
9
9
4
1
2
.
1
1
0
.
7
2
0
8
S
t
d
.
d
e
v
.
4
.
2
4
.
2
8
.
9
5
4
3
0
.
7
1
7
3
.
5
9
.
7
9
9
S
E
M
e
a
n
1
.
4
1
.
4
3
.
0
2
1
1
0
.
2
6
1
.
2
3
.
2
3
3
W
-
2
C
r
N
i
C
u
Z
n
R
b
S
r
Y
Z
r
N
b
L
a
B
a
R
e
p
o
r
t
e
d
9
2
7
0
1
0
6
8
0
2
1
1
9
2
2
3
1
0
0
6
.
8
1
0
.
4
1
7
4
A
n
a
l
y
s
i
s
1
8
9
.
4
7
2
.
8
1
0
7
.
9
7
5
1
9
1
9
4
2
4
.
2
9
9
1
2
.
9
3
.
0
2
2
7
A
n
a
l
y
s
i
s
2
8
9
.
3
6
6
.
3
1
1
3
.
8
7
7
1
7
2
0
0
2
3
.
6
1
0
0
9
.
8
1
6
.
6
1
4
7
A
n
a
l
y
s
i
s
3
9
6
.
7
7
0
.
2
1
1
2
.
7
7
6
2
3
1
9
8
2
3
.
2
9
8
1
1
.
1
1
.
5
2
1
2
A
n
a
l
y
s
i
s
4
9
4
.
7
7
1
.
0
1
0
8
.
8
7
2
2
0
1
9
7
2
2
.
3
1
0
1
1
0
.
8
0
.
5
1
7
5
A
n
a
l
y
s
i
s
5
9
9
.
4
7
0
.
4
1
1
3
.
7
7
4
1
5
1
9
3
2
3
.
2
1
0
0
9
.
4
3
.
6
6
4
U
n
c
e
r
t
a
i
n
t
y
7
.
4
3
.
7
7
.
8
8
6
8
1
.
2
2
6
.
1
9
.
9
1
1
0
M
e
a
n
9
3
.
9
7
0
.
1
1
1
1
.
4
7
5
1
9
1
9
6
2
3
.
3
1
0
0
1
0
.
8
5
.
0
1
6
5
S
t
d
.
d
e
v
.
4
.
5
2
.
4
2
.
8
2
3
3
0
.
7
1
1
.
4
6
.
6
6
5
S
E
M
e
a
n
2
.
0
1
.
1
1
.
3
1
l
1
0
3
1
0
.
6
2
.
9
2
9
 
2
3
8
o
f
1
0
1
2
f
o
r
1
5
h
o
u
r
s
.
T
h
e
r
e
m
a
i
n
d
e
r
o
f
t
h
e
s
a
m
p
l
e
s
w
e
r
e
a
c
t
i
v
a
t
e
d
w
i
t
h
t
h
e
T
r
i
g
a
r
e
a
c
t
o
r
a
t
t
h
e
U
n
i
v
e
r
s
i
t
y
o
f
I
l
l
i
n
o
i
s
,
U
r
b
a
n
a
-
C
h
a
m
p
a
i
g
n
u
n
d
e
r
a
n
e
u
t
r
o
n
f
l
u
x
o
f
1
0
1
5
f
o
r
4
h
o
u
r
s
.
A
l
l
s
a
m
p
l
e
s
w
e
r
e
c
o
u
n
t
e
d
a
t
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
u
s
i
n
g
a
G
e
L
i
d
e
t
e
c
t
o
r
a
n
d
a
C
a
n
b
e
r
r
a
S
e
r
i
e
s
3
5
P
l
u
s
M
u
l
t
i
c
h
a
n
n
e
l
A
n
a
l
y
z
e
r
.
S
m
,
L
a
,
N
a
,
a
n
d
S
c
w
e
r
e
c
o
u
n
t
e
d
7
-
8
d
a
y
s
a
f
t
e
r
a
c
t
i
v
a
t
i
o
n
a
n
d
T
h
,
H
f
,
C
e
,
E
u
,
T
b
,
Y
b
,
a
n
d
L
u
w
e
r
e
c
o
u
n
t
e
d
1
4
-
1
6
d
a
y
s
a
f
t
e
r
a
c
t
i
v
a
t
i
o
n
(
s
e
e
G
o
r
d
o
n
,
e
t
a
l
.
,
1
9
6
8
f
o
r
c
o
u
n
t
i
n
g
p
a
r
a
m
e
t
e
r
s
)
.
T
h
e
I
N
A
A
d
a
t
a
r
e
d
u
c
t
i
o
n
p
r
o
g
r
a
m
s
"
M
C
A
"
a
n
d
"
N
E
U
T
R
O
N
"
u
s
e
d
i
n
t
h
i
s
s
t
u
d
y
w
e
r
e
w
r
i
t
t
e
n
b
y
D
r
.
J
.
T
.
W
i
l
b
a
n
d
o
f
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
.
F
i
v
e
t
o
s
i
x
i
n
t
e
r
n
a
t
i
o
n
a
l
w
h
o
l
e
-
r
o
c
k
s
t
a
n
d
a
r
d
s
w
e
r
e
r
u
n
i
n
c
o
n
j
u
n
c
t
i
o
n
w
i
t
h
t
h
e
s
a
m
p
l
e
s
.
A
n
a
l
y
z
e
d
s
t
a
n
d
a
r
d
c
o
n
c
e
n
t
r
a
t
i
o
n
s
a
n
d
t
h
e
i
r
p
u
b
l
i
s
h
e
d
v
a
l
u
e
s
a
r
e
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
A
3
c
.
P
h
e
n
o
c
r
y
s
t
C
o
m
p
o
s
i
t
i
o
n
s
M
o
s
t
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
w
e
r
e
d
e
t
e
r
m
i
n
e
d
b
y
a
u
t
o
m
a
t
e
d
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
i
s
(
J
E
O
L
7
3
3
A
S
u
p
e
r
p
r
o
b
e
)
a
t
t
h
e
L
a
w
r
e
n
c
e
L
i
v
e
r
m
o
r
e
N
a
t
i
o
n
a
l
L
a
b
o
r
a
t
o
r
y
(
L
L
N
L
)
.
S
e
v
e
r
a
l
a
d
d
i
t
i
o
n
a
l
s
a
m
p
l
e
s
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
w
e
r
e
a
n
a
l
y
z
e
d
o
n
a
C
a
m
e
c
a
m
i
c
r
o
p
r
o
b
e
a
t
t
h
e
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
,
A
n
n
A
r
b
o
r
(
U
M
)
.
P
h
e
n
o
c
r
y
s
t
s
w
e
r
e
s
e
p
a
r
a
t
e
d
f
r
o
m
t
h
e
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
b
y
g
e
n
t
l
y
h
a
n
d
c
r
u
s
h
i
n
g
t
h
e
p
u
m
i
c
e
i
n
a
c
e
r
a
m
i
c
m
o
r
t
a
r
a
n
d
p
e
s
t
l
e
a
n
d
s
i
e
v
i
n
g
t
h
e
r
e
s
u
l
t
i
n
g
p
o
w
d
e
r
s
.
2
3
9
T
a
b
l
e
A
3
a
.
A
n
a
l
y
t
i
c
a
l
e
r
r
o
r
s
f
o
r
I
N
A
A
t
r
a
c
e
e
l
e
m
e
n
t
a
n
a
l
y
s
e
s
b
a
s
e
d
o
n
l
i
n
e
a
r
r
e
g
r
e
s
s
i
o
n
o
f
a
n
a
l
y
z
e
d
U
S
G
S
(
B
I
R
-
l
,
G
-
l
,
G
-
2
,
Q
L
O
-
l
,
R
G
M
-
l
,
S
T
M
-
l
a
n
d
W
-
2
)
,
C
a
n
a
d
i
a
n
(
M
R
G
-
l
a
n
d
S
Y
-
2
)
a
n
d
J
a
p
a
n
e
s
e
(
J
G
-
1
a
)
r
o
c
k
s
t
a
n
d
a
r
d
s
.
 
 
 
 
 
 
 
 
E
l
e
m
e
n
t
I
n
t
e
r
c
e
p
t
M
e
a
n
S
t
d
.
E
r
r
o
r
D
e
g
r
e
e
s
C
o
r
r
e
l
a
t
i
o
n
s
q
u
a
r
e
o
f
E
s
t
i
m
a
t
e
F
r
e
e
d
o
m
C
o
e
f
f
i
c
i
e
n
t
r
e
s
i
d
u
a
l
s
S
c
-
0
.
2
6
3
0
.
1
5
2
0
.
3
9
0
1
4
0
.
9
9
0
-
0
.
3
0
8
-
-
0
.
4
7
1
1
3
0
.
9
9
9
-
0
.
5
2
1
-
-
0
.
3
5
5
1
0
0
.
9
9
9
-
0
.
9
6
7
1
.
5
1
3
1
.
2
3
0
1
0
0
.
9
9
9
H
f
0
.
2
6
9
0
.
1
6
7
0
.
4
0
9
1
8
0
.
9
7
2
-
0
.
3
7
7
0
.
1
2
5
0
.
3
5
4
1
3
0
.
9
9
9
-
0
.
5
0
3
-
-
0
.
4
1
7
1
3
0
.
9
9
9
-
1
.
4
8
9
0
.
0
2
5
0
.
1
5
9
7
0
.
9
8
5
5
.
9
5
2
0
.
3
5
2
0
.
5
9
3
1
0
0
.
9
9
8
T
h
0
.
5
1
4
0
.
9
9
4
0
.
9
9
7
1
3
0
.
9
9
9
-
0
.
1
9
4
0
.
2
5
7
0
.
5
0
7
1
3
0
.
9
9
9
-
0
.
4
2
6
-
-
0
.
6
7
8
1
3
0
.
9
9
9
-
3
.
7
6
2
4
.
9
2
6
2
.
2
1
9
1
0
0
.
9
9
3
~
6
.
5
1
4
0
.
7
4
6
0
.
8
6
3
1
0
0
.
9
9
9
L
a
-
1
.
8
9
1
1
8
.
9
5
9
4
.
3
5
0
1
8
0
.
9
9
4
-
1
7
.
5
6
0
6
.
2
0
2
2
.
4
9
0
7
0
.
9
9
9
-
1
.
9
1
7
-
-
2
.
0
0
8
1
3
0
.
9
9
9
-
0
.
5
3
5
-
-
1
.
8
3
9
1
0
0
.
9
9
9
-
l
.
7
7
0
6
7
.
5
2
4
8
.
2
1
7
1
0
0
.
9
7
9
C
e
-
0
.
8
6
0
3
5
.
5
8
0
5
.
9
6
5
1
4
0
.
9
9
6
-
6
.
0
4
1
9
.
6
1
9
3
.
1
0
1
1
3
0
.
9
9
9
-
5
.
4
6
0
-
-
7
.
3
1
2
1
0
0
.
9
9
7
-
1
9
.
3
2
9
1
3
7
.
1
7
3
1
1
.
7
1
2
7
0
.
9
8
3
-
2
4
.
1
7
9
6
.
0
2
6
2
.
4
5
5
7
0
.
9
9
9
S
m
-
0
.
8
6
2
0
.
1
2
3
0
.
3
5
1
1
4
0
.
9
7
3
-
1
.
2
0
4
0
.
6
4
4
0
.
8
0
2
1
3
0
.
9
8
3
-
0
.
3
4
8
-
-
0
.
4
4
0
1
3
0
.
9
9
2
-
0
.
3
8
6
-
-
0
.
3
0
5
1
0
0
.
9
9
7
-
0
.
1
9
4
0
.
0
4
3
0
.
2
0
7
3
0
.
9
9
9
E
u
0
.
0
5
5
0
.
0
0
5
0
.
0
6
8
1
7
0
.
9
8
4
-
0
.
0
8
8
0
.
0
0
6
0
.
0
7
5
1
3
0
.
9
9
8
-
0
.
8
5
3
-
-
0
.
2
3
4
1
0
0
.
9
8
2
-
0
.
0
0
1
0
.
0
1
0
0
.
0
9
8
1
0
0
.
9
5
5
-
0
.
0
1
5
0
.
0
0
1
0
.
0
3
4
7
0
.
9
9
6
 
2
4
0
 
 
 
T
a
b
l
e
C
o
n
t
i
n
u
e
d
.
T
b
0
.
4
5
2
0
.
0
3
4
0
.
1
8
3
1
8
0
.
9
8
4
-
0
.
6
2
1
0
.
0
4
0
0
.
1
9
9
1
0
0
.
9
8
3
0
.
0
9
1
0
.
0
5
5
0
.
2
3
4
1
0
0
.
8
4
5
-
0
.
1
3
2
0
.
0
1
5
0
.
1
2
2
1
0
0
.
9
5
8
Y
b
-
0
.
2
4
9
0
.
0
6
5
0
.
2
5
5
1
4
0
.
9
1
4
0
.
8
1
5
0
.
1
1
9
0
.
3
4
4
1
3
0
.
9
6
1
-
0
.
0
0
5
0
.
0
4
9
0
.
2
2
2
1
0
0
.
9
7
4
-
2
.
4
1
4
0
.
2
3
2
0
.
4
8
1
7
0
.
9
5
2
-
0
.
1
1
2
0
.
0
1
9
0
.
1
3
6
1
0
0
.
9
9
0
L
u
-
0
.
0
5
1
0
.
0
0
1
0
.
0
2
6
1
0
0
.
9
8
6
-
0
.
0
9
6
0
.
0
0
3
0
.
0
5
9
1
3
0
.
9
5
4
-
0
.
0
7
1
0
.
0
0
1
0
.
0
3
4
1
3
0
.
9
8
7
-
0
.
0
7
2
0
.
0
0
3
0
.
0
5
3
1
3
0
.
9
6
7
0
.
0
2
0
0
.
0
0
0
0
.
0
1
5
1
0
0
.
9
9
7
 
2
4
1
T
h
e
s
e
p
o
w
d
e
r
s
(
-
6
0
t
o
+
1
4
0
m
e
s
h
f
r
a
c
t
i
o
n
)
w
e
r
e
t
h
e
n
c
o
n
c
e
n
t
r
a
t
e
d
i
n
t
o
l
i
g
h
t
(
f
e
l
d
s
p
a
r
/
g
l
a
s
s
)
a
n
d
h
e
a
v
y
m
i
n
e
r
a
l
(
f
e
r
r
o
m
a
g
n
e
s
i
a
n
a
n
d
m
a
g
n
e
t
i
t
e
/
i
l
m
e
n
i
t
e
)
f
r
a
c
t
i
o
n
s
b
y
b
r
o
m
o
f
o
r
m
h
e
a
v
y
l
i
q
u
i
d
s
e
p
a
r
a
t
i
o
n
.
T
h
e
l
i
g
h
t
a
n
d
h
e
a
v
y
f
r
a
c
t
i
o
n
s
w
e
r
e
t
h
e
n
m
o
u
n
t
e
d
i
n
s
t
a
n
d
a
r
d
m
e
t
a
l
l
u
r
g
i
c
a
l
e
p
o
x
y
d
i
s
c
s
a
n
d
p
o
l
i
s
h
e
d
.
W
h
o
l
e
p
h
e
n
o
c
r
y
s
t
s
w
e
r
e
h
a
n
d
p
i
c
k
e
d
f
r
o
m
t
h
e
c
o
a
r
s
e
l
y
c
r
u
s
h
e
d
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
a
n
d
m
o
u
n
t
e
d
i
n
e
p
o
x
y
d
i
s
k
s
.
T
h
i
s
w
a
s
d
o
n
e
t
o
p
r
e
s
e
r
v
e
l
a
r
g
e
s
c
a
l
e
z
o
n
a
t
i
o
n
f
e
a
t
u
r
e
s
i
n
t
h
e
f
e
l
d
s
p
a
r
a
n
d
f
e
r
r
o
m
a
g
n
e
s
i
a
n
m
i
n
e
r
a
l
s
f
o
r
p
o
t
e
n
t
i
a
l
a
n
a
l
y
s
i
s
.
T
h
i
n
s
e
c
t
i
o
n
s
o
f
e
a
c
h
s
a
m
p
l
e
w
e
r
e
a
l
s
o
u
s
e
d
f
o
r
p
h
e
n
o
c
r
y
s
t
a
n
d
g
l
a
s
s
m
a
t
r
i
x
c
o
m
p
o
s
i
t
i
o
n
a
n
a
l
y
s
e
s
.
T
h
e
s
m
a
l
l
p
e
r
c
e
n
t
a
g
e
o
f
p
h
e
n
o
c
r
y
s
t
s
p
r
e
s
e
n
t
i
n
t
h
e
t
h
i
n
s
e
c
t
i
o
n
s
p
r
e
c
l
u
d
e
d
t
h
e
s
o
l
e
u
s
e
o
f
t
h
i
n
s
e
c
t
i
o
n
s
f
o
r
c
o
m
p
o
s
i
t
i
o
n
a
l
s
t
u
d
i
e
s
.
T
h
e
e
l
e
m
e
n
t
c
o
d
e
s
a
n
d
c
o
r
r
e
s
p
o
n
d
i
n
g
b
e
a
m
p
a
r
a
m
e
t
e
r
s
u
s
e
d
f
o
r
t
h
e
d
i
f
f
e
r
e
n
t
m
i
n
e
r
a
l
t
y
p
e
s
a
r
e
l
i
s
t
e
d
i
n
T
a
b
l
e
A
3
d
.
F
o
r
e
a
c
h
m
i
n
e
r
a
l
g
r
a
i
n
,
o
n
e
t
o
t
w
o
s
p
o
t
s
w
e
r
e
a
n
a
l
y
z
e
d
t
o
c
h
e
c
k
f
o
r
h
o
m
o
g
e
n
e
i
t
y
.
M
o
s
t
g
r
a
i
n
s
w
e
r
e
a
n
a
l
y
z
e
d
n
e
a
r
t
h
e
e
d
g
e
o
f
t
h
e
g
r
a
i
n
.
F
o
r
z
o
n
e
d
g
r
a
i
n
s
s
u
c
h
a
s
t
h
e
p
l
a
g
i
o
c
l
a
s
e
f
e
l
d
s
p
a
r
s
,
o
n
e
a
n
a
l
y
s
i
s
w
a
s
t
a
k
e
n
o
n
t
h
e
r
i
m
o
f
t
h
e
g
r
a
i
n
a
n
d
a
n
o
t
h
e
r
i
n
t
h
e
c
e
n
t
e
r
o
f
t
h
e
g
r
a
i
n
.
D
u
e
t
o
t
h
e
r
a
n
d
o
m
o
r
i
e
n
t
a
t
i
o
n
o
f
t
h
e
m
i
n
e
r
a
l
g
r
a
i
n
s
,
t
h
e
g
r
a
i
n
c
e
n
t
e
r
a
n
a
l
y
s
i
s
o
n
l
y
r
e
p
r
e
s
e
n
t
s
a
m
i
n
i
m
u
m
r
a
n
g
e
i
n
c
o
m
p
o
s
i
t
i
o
n
w
h
e
n
c
o
m
p
a
r
e
d
t
o
t
h
e
r
i
m
a
n
a
l
y
s
i
s
i
f
t
h
e
m
i
n
e
r
a
l
g
r
a
i
n
w
a
s
z
o
n
e
d
.
2
4
2
T
a
b
l
e
A
3
d
.
E
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
b
e
a
m
p
a
r
a
m
e
t
e
r
s
a
n
d
a
n
a
l
y
z
e
d
o
x
i
d
e
s
f
o
r
v
a
r
i
o
u
s
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
.
 
F
e
l
d
s
p
a
r
a
n
d
g
l
a
s
s
,
I
=
1
0
n
A
,
V
=
1
5
K
e
v
,
B
=
1
0
0
u
m
2
L
L
N
L
-
F
e
l
d
s
p
a
r
a
n
d
G
l
a
s
s
8
1
0
2
,
T
i
0
2
,
A
1
2
0
3
,
F
e
O
,
M
n
O
,
M
g
O
,
C
a
O
,
N
a
2
0
,
K
2
0
,
P
2
0
5
,
B
3
0
 
U
M
-
F
e
l
d
s
p
a
r
5
1
0
2
,
A
1
2
0
3
,
F
8
2
0
3
,
C
3
0
,
N
3
2
0
,
K
2
0
,
8
3
0
 
U
M
-
G
l
a
s
s
5
1
0
2
,
T
1
0
2
,
A
1
2
0
3
,
F
6
2
0
3
,
M
n
O
,
M
9
0
,
C
3
0
,
N
3
2
0
,
K
2
0
,
P
2
0
5
,
F
,
C
]
.
 
F
e
r
r
o
m
a
g
n
e
s
i
a
n
m
i
n
e
r
a
l
s
,
I
=
1
5
n
A
,
V
=
1
5
K
e
v
,
B
=
p
o
i
n
t
L
L
N
L
5
1
0
2
,
T
1
0
2
,
A
1
2
0
3
,
F
8
0
,
M
n
O
,
M
9
0
,
C
3
0
,
N
3
2
0
,
K
2
0
,
N
i
O
,
B
a
O
U
M
€
1
0
2
,
T
1
0
2
,
A
1
2
0
3
,
F
e
2
0
3
,
M
n
O
,
M
g
O
,
C
a
O
,
N
a
2
0
,
K
2
0
,
B
a
O
M
e
g
n
e
t
i
t
e
/
I
l
m
e
n
i
t
e
,
I
=
1
5
n
A
,
V
=
1
5
K
e
v
,
B
=
p
o
i
n
t
L
L
N
L
T
1
0
2
,
A
1
2
0
3
,
F
8
0
,
M
n
O
,
M
9
0
,
C
r
2
0
3
U
M
g
1
0
2
,
T
1
0
2
,
A
1
2
0
3
,
F
6
2
0
3
,
M
n
O
,
M
9
0
,
C
3
0
,
C
I
2
0
3
 
(
I
=
m
o
r
e
c
u
r
r
e
n
t
,
V
=
v
o
l
t
a
g
e
,
B
=
b
e
a
m
s
i
z
e
)
F
o
r
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
,
g
r
a
i
n
s
w
i
t
h
t
h
a
n
o
n
e
a
n
a
l
y
s
i
s
w
e
r
e
a
v
e
r
a
g
e
d
.
F
o
r
e
a
c
h
s
a
m
p
l
e
,
g
r
a
i
n
a
v
e
r
a
g
e
s
w
i
t
h
s
i
m
i
l
a
r
c
o
m
p
o
s
i
t
i
o
n
s
w
e
r
e
t
h
e
n
a
v
e
r
a
g
e
d
t
o
g
e
t
h
e
r
.
I
f
t
h
e
m
i
n
e
r
a
l
g
r
a
i
n
a
v
e
r
a
g
e
s
w
e
r
e
v
a
r
i
a
b
l
e
i
n
c
o
m
p
o
s
i
t
i
o
n
,
t
h
e
n
s
e
v
e
r
a
l
g
r
a
i
n
a
v
e
r
a
g
e
s
f
o
r
e
a
c
h
s
a
m
p
l
e
w
e
r
e
c
o
m
p
u
t
e
d
.
2
4
3
O
x
i
d
e
a
n
d
s
i
l
i
c
a
t
e
m
i
n
e
r
a
l
s
t
a
n
d
a
r
d
s
w
e
r
e
r
u
n
p
e
r
i
o
d
i
c
a
l
l
y
f
o
r
s
y
s
t
e
m
c
a
l
i
b
r
a
t
i
o
n
.
T
h
e
B
e
n
c
e
-
A
l
b
e
e
c
o
r
r
e
c
t
i
o
n
p
r
o
c
e
d
u
r
e
w
a
s
a
p
p
l
i
e
d
t
o
a
l
l
q
u
a
n
t
i
t
a
t
i
v
e
a
n
a
l
y
s
e
s
(
B
e
n
c
e
a
n
d
A
l
b
e
e
,
1
9
6
8
)
.
A
n
a
l
y
z
e
d
s
t
a
n
d
a
r
d
s
,
t
h
e
i
r
p
u
b
l
i
s
h
e
d
v
a
l
u
e
s
,
a
n
d
e
l
e
m
e
n
t
a
l
d
e
t
e
c
t
i
o
n
l
i
m
i
t
s
a
r
e
l
i
s
t
e
d
i
n
T
a
b
l
e
A
3
e
.
Z
A
F
c
o
r
r
e
c
t
i
o
n
s
w
e
r
e
m
a
d
e
t
o
a
l
l
r
a
w
d
a
t
a
r
e
s
u
l
t
i
n
g
f
r
o
m
a
n
a
l
y
s
i
s
o
f
p
h
e
n
o
c
r
y
s
t
s
a
t
U
M
.
M
a
g
n
e
t
i
t
e
/
I
l
m
e
n
i
t
e
A
n
a
l
y
s
e
s
A
t
o
t
a
l
o
f
3
1
s
a
m
p
l
e
s
w
e
r
e
a
n
a
l
y
z
e
d
f
o
r
F
e
-
T
i
o
x
i
d
e
g
e
o
t
h
e
r
m
o
m
e
t
r
y
f
r
o
m
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
F
r
o
m
t
h
e
s
e
s
a
m
p
l
e
s
,
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
w
e
r
e
d
e
t
e
r
m
i
n
e
d
f
o
r
1
4
s
a
m
p
l
e
s
o
f
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
1
3
s
a
m
p
l
e
s
o
f
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
T
h
e
r
e
m
a
i
n
i
n
g
4
s
a
m
p
l
e
s
,
a
l
l
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
,
w
e
r
e
d
e
v
o
i
d
o
f
i
l
m
e
n
i
t
e
.
O
f
t
h
e
2
7
s
a
m
p
l
e
s
u
s
e
d
f
o
r
g
e
o
t
h
e
r
m
o
m
e
t
r
y
,
9
s
a
m
p
l
e
s
f
r
o
m
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
a
n
d
7
s
a
m
p
l
e
s
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
c
o
n
t
a
i
n
e
d
e
x
s
o
l
v
e
d
m
a
g
n
e
t
i
t
e
g
r
a
i
n
s
,
a
n
d
t
w
o
s
a
m
p
l
e
s
f
r
o
m
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
c
o
n
t
a
i
n
e
d
e
x
s
o
l
v
e
d
i
l
m
e
n
i
t
e
(
T
a
b
l
e
5
)
.
A
s
n
o
t
e
d
b
y
S
c
h
u
r
a
y
t
z
(
1
9
8
8
)
f
o
r
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
M
e
m
b
e
r
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
,
m
a
n
y
o
f
t
h
e
p
u
m
i
c
e
s
a
m
p
l
e
s
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
c
o
n
t
a
i
n
e
d
b
o
t
h
e
x
s
o
l
v
e
d
a
n
d
u
n
e
x
s
o
l
v
e
d
m
a
g
n
e
t
i
t
e
g
r
a
i
n
s
.
I
f
p
o
s
t
-
d
e
p
o
s
i
t
i
o
n
a
l
o
x
i
d
a
t
i
o
n
o
r
r
e
d
u
c
t
i
o
n
w
a
s
r
e
s
p
o
n
s
i
b
l
e
f
o
r
e
x
s
o
l
u
t
i
o
n
,
t
h
e
n
a
l
l
t
h
e
g
r
a
i
n
s
w
i
t
h
i
n
a
s
a
m
p
l
e
s
h
o
u
l
d
h
a
v
e
b
e
e
n
2
4
4
T
a
b
l
e
A
3
e
.
E
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
e
s
o
f
m
i
n
e
r
a
l
s
t
a
n
d
a
r
d
s
.
A
.
F
e
l
d
s
p
a
r
,
f
e
r
r
o
m
a
g
n
e
s
i
u
m
.
s
i
l
i
c
a
t
e
s
a
n
d
g
g
l
a
s
s
a
n
a
l
y
s
e
s
 
 
 
E
l
e
m
e
n
t
M
i
n
e
r
a
l
S
t
a
n
d
a
r
d
C
o
u
n
t
i
n
g
T
i
m
e
(
s
e
c
o
n
d
s
)
S
i
0
2
O
r
t
h
o
c
l
a
s
e
,
D
i
o
p
s
i
d
e
(
5
)
A
1
2
0
3
O
r
t
h
o
c
l
a
s
e
(
2
0
)
T
i
0
2
S
p
e
s
s
a
r
t
i
n
e
g
a
r
n
e
t
(
2
0
)
F
e
O
D
i
o
p
s
i
d
e
(
2
0
)
M
9
0
D
i
o
p
s
i
d
e
(
2
0
)
C
a
O
D
i
o
p
s
i
d
e
(
1
0
)
N
a
2
0
O
r
t
h
o
c
l
a
s
e
(
1
0
)
K
2
0
O
r
t
h
o
c
l
a
s
e
(
2
0
)
M
n
O
S
p
e
s
s
a
r
t
i
n
e
g
a
r
n
e
t
,
D
i
o
p
s
i
d
e
(
2
0
)
P
2
0
5
N
o
n
e
(
2
0
)
B
a
O
O
r
t
h
o
c
l
a
s
e
(
2
0
)
D
i
o
p
s
i
d
e
R
e
p
o
r
t
e
d
M
e
a
n
o
f
S
t
d
.
D
e
v
.
S
t
d
.
E
r
r
o
r
C
o
n
c
e
n
t
r
a
t
i
o
n
s
A
n
a
l
y
s
e
s
o
f
M
e
a
n
o
f
M
e
a
n
(
n
=
1
8
)
S
i
o
z
5
4
.
9
8
5
4
.
9
5
0
.
6
5
0
.
1
5
F
e
O
1
.
8
7
1
.
9
8
0
.
1
7
0
.
0
4
M
9
0
1
7
.
0
9
1
7
.
1
4
0
.
2
5
0
.
0
6
C
a
O
2
5
.
6
6
2
4
.
9
9
0
.
8
3
0
.
2
0
M
n
O
0
.
2
1
0
.
1
8
0
.
0
6
0
.
0
1
O
r
t
h
o
c
l
a
s
e
R
e
p
o
r
t
e
d
M
e
a
n
o
f
S
t
d
.
D
e
v
.
S
t
d
.
E
r
r
o
r
C
o
n
c
e
n
t
r
a
t
i
o
n
s
A
n
a
l
y
s
e
s
o
f
M
e
a
n
o
f
M
e
a
n
(
n
=
1
8
)
S
i
O
Z
6
4
.
6
5
6
4
.
1
0
0
.
8
4
0
.
2
0
A
1
2
0
3
1
7
.
0
4
1
6
.
7
8
0
.
1
5
0
.
0
4
N
a
2
0
0
.
9
4
'
0
.
9
9
0
.
0
6
0
.
0
2
K
2
0
1
5
.
4
0
1
5
.
3
0
0
.
3
7
0
.
0
9
B
a
O
0
.
0
5
0
.
0
5
0
.
0
3
0
.
0
1
S
p
e
s
s
a
r
t
i
n
e
G
a
r
n
e
t
R
e
p
o
r
t
e
d
M
e
a
n
o
f
S
t
d
.
D
e
v
.
S
t
d
.
E
r
r
o
r
C
o
n
c
e
n
t
r
a
t
i
o
n
s
A
n
a
l
y
s
e
s
o
f
M
e
a
n
o
f
M
e
a
n
(
n
=
1
0
)
T
i
0
2
0
.
1
1
0
.
1
9
0
.
2
9
0
.
0
9
M
n
O
4
0
.
3
1
3
8
.
9
7
0
.
3
7
0
.
1
2
2
4
5
T
a
b
l
e
A
3
e
.
C
o
n
t
i
n
u
e
d
.
B
.
M
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
a
n
a
l
y
s
e
s
 
 
 
E
l
e
m
e
n
t
M
i
n
e
r
a
l
S
t
a
n
d
a
r
d
C
o
u
n
t
i
n
g
T
i
m
e
(
s
e
c
o
n
d
s
)
A
1
2
0
3
O
r
t
h
o
c
l
a
s
e
,
D
i
o
p
s
i
d
e
(
5
)
F
e
O
D
i
o
p
s
i
d
e
,
O
r
t
h
o
c
l
a
s
e
(
2
0
)
M
9
0
D
i
o
p
s
i
d
e
(
2
0
)
M
n
O
S
p
e
s
s
a
r
t
i
n
e
G
a
r
n
e
t
(
1
0
)
T
i
0
2
S
p
e
s
s
a
r
t
i
n
e
G
a
r
n
e
t
(
2
0
)
C
r
2
0
3
N
o
n
e
(
2
0
)
D
i
o
p
s
i
d
e
R
e
p
o
r
t
e
d
M
e
a
n
o
f
S
t
d
.
D
e
v
.
S
t
d
.
E
r
r
o
r
C
o
n
c
e
n
t
r
a
t
i
o
n
s
A
n
a
l
y
s
e
s
o
f
M
e
a
n
o
f
M
e
a
n
(
n
=
1
0
)
A
1
2
0
3
0
.
1
6
0
.
2
1
0
.
0
4
0
.
0
1
F
e
O
1
.
8
7
1
.
9
2
0
.
0
8
0
.
0
3
M
g
O
1
7
.
0
9
1
6
.
7
6
0
.
2
4
0
.
0
8
O
r
t
h
o
c
l
a
s
e
R
e
p
o
r
t
e
d
M
e
a
n
o
f
S
t
d
.
D
e
v
.
S
t
d
.
E
r
r
o
r
C
o
n
c
e
n
t
r
a
t
i
o
n
s
A
n
a
l
y
s
e
s
o
f
M
e
a
n
o
f
M
e
a
n
(
n
=
1
0
)
A
1
2
0
3
1
7
.
0
4
1
6
.
9
8
0
.
5
6
0
.
1
8
F
e
O
1
.
8
7
1
.
6
7
0
.
1
2
0
.
0
4
S
p
e
s
s
a
r
t
i
n
e
G
a
r
n
e
t
 
R
e
p
o
r
t
e
d
M
e
a
n
o
f
S
t
d
.
D
e
v
.
S
t
d
.
E
r
r
o
r
C
o
n
c
e
n
t
r
a
t
i
o
n
s
A
n
a
l
y
s
e
s
o
f
M
e
a
n
o
f
M
e
a
n
(
n
=
1
0
)
M
n
O
4
0
.
3
1
3
8
.
9
7
0
.
3
7
0
.
1
2
T
i
0
2
0
.
1
1
0
.
1
9
0
.
2
9
0
.
0
9
2
4
6
s
i
m
i
l
a
r
l
y
a
f
f
e
c
t
e
d
.
T
h
u
s
,
e
x
s
o
l
u
t
i
o
n
o
f
t
h
e
m
a
g
n
e
t
i
t
e
g
r
a
i
n
s
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
a
p
p
e
a
r
s
t
o
b
e
a
p
r
i
m
a
r
y
m
a
g
m
a
t
i
c
p
h
e
n
o
m
e
n
a
a
s
m
a
n
y
g
r
a
i
n
s
a
r
e
u
n
a
l
t
e
r
e
d
.
T
h
e
M
g
/
M
n
p
a
r
t
i
t
i
o
n
i
n
g
t
e
s
t
f
o
r
t
e
s
t
i
n
g
o
f
e
q
u
i
l
i
b
r
i
u
m
b
e
t
w
e
e
n
c
o
e
x
i
s
t
i
n
g
F
e
-
T
i
o
x
i
d
e
p
h
e
n
o
c
r
y
s
t
s
d
e
v
e
l
o
p
e
d
b
y
B
a
c
o
n
a
n
d
H
i
r
s
c
h
m
a
n
n
(
1
9
8
8
)
w
a
s
e
m
p
l
o
y
e
d
i
n
t
h
i
s
s
t
u
d
y
(
F
i
g
s
.
A
3
-
1
,
A
3
-
2
)
.
G
r
a
i
n
s
t
h
a
t
d
i
d
n
o
t
p
l
o
t
w
i
t
h
i
n
t
h
e
2
0
s
t
a
n
d
a
r
d
d
e
v
i
a
t
i
o
n
l
i
n
e
s
w
e
r
e
n
o
t
u
s
e
d
f
o
r
t
e
m
p
e
r
a
t
u
r
e
c
a
l
c
u
l
a
t
i
o
n
s
.
W
h
e
r
e
p
o
s
s
i
b
l
e
,
o
n
l
y
c
h
e
m
i
c
a
l
l
y
h
o
m
o
g
e
n
e
o
u
s
g
r
a
i
n
s
w
e
r
e
u
s
e
d
f
o
r
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
c
a
l
c
u
l
a
t
i
o
n
s
.
A
n
a
l
y
t
i
c
a
l
t
o
t
a
l
s
f
o
r
t
h
e
m
a
g
n
e
t
i
t
e
g
r
a
i
n
s
t
y
p
i
c
a
l
l
y
a
v
e
r
a
g
e
d
9
6
w
t
%
t
o
9
7
w
t
%
.
D
u
e
t
o
t
h
e
u
b
i
q
u
i
t
o
u
s
o
c
c
u
r
r
e
n
c
e
o
f
e
x
s
o
l
v
e
d
g
r
a
i
n
s
,
a
t
l
e
a
s
t
t
w
o
2
r
a
s
t
e
r
e
d
a
n
a
l
y
s
e
s
p
e
r
g
r
a
i
n
w
e
r
e
c
o
l
l
e
c
t
e
d
w
i
t
h
a
1
0
0
u
m
b
e
a
m
.
T
h
e
s
e
a
n
a
l
y
s
e
s
w
e
r
e
t
h
e
n
a
v
e
r
a
g
e
d
t
o
t
r
y
t
o
a
p
p
r
o
x
i
m
a
t
e
t
h
e
o
r
i
g
i
n
a
l
u
n
e
x
s
o
l
v
e
d
c
o
m
p
o
s
i
t
i
o
n
.
A
n
a
l
y
s
e
s
o
f
m
a
g
n
e
t
i
t
e
s
p
e
r
f
o
r
m
e
d
i
n
t
h
i
s
f
a
s
h
i
o
n
g
a
v
e
n
o
t
i
c
e
a
b
l
y
l
o
w
a
n
a
l
y
t
i
c
a
l
t
o
t
a
l
s
r
a
n
g
i
n
g
f
r
o
m
9
1
w
t
%
t
o
9
5
w
t
%
(
A
p
p
e
n
d
i
x
4
)
.
I
l
m
e
n
i
t
e
a
n
a
l
y
s
e
s
c
o
n
s
i
s
t
e
n
t
l
y
r
a
n
g
e
d
f
r
o
m
9
6
w
t
%
t
o
9
9
w
t
%
.
W
i
t
h
i
n
a
p
a
r
t
i
c
u
l
a
r
s
a
m
p
l
e
,
F
e
O
,
T
i
0
2
,
a
n
d
M
n
O
c
o
n
c
e
n
t
r
a
t
i
o
n
s
v
a
r
y
b
y
a
p
p
r
o
x
i
m
a
t
e
l
y
5
%
f
o
r
e
x
s
o
l
v
e
d
m
a
g
n
e
t
i
t
e
v
e
r
s
u
s
h
o
m
o
g
e
n
e
o
u
s
m
a
g
n
e
t
i
t
e
(
A
p
p
e
n
d
i
x
4
)
.
I
n
l
i
g
h
t
o
f
t
h
e
p
r
e
s
e
n
c
e
o
f
e
x
s
o
l
v
e
d
p
h
e
n
o
c
r
y
s
t
s
,
a
l
l
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
d
a
t
a
f
o
r
t
h
i
s
s
t
u
d
y
s
h
o
u
l
d
b
e
u
s
e
d
w
i
t
h
c
a
u
t
i
o
n
.
2
4
7
R
A
I
N
I
E
R
M
E
S
A
M
E
M
B
E
R
 
 
 
 
 
1
.
4
r
r
I
r
l
i
'
E
'
L
o
-
~
I
E
‘
\
~
§
?
0
6
»
-
-
0
1
0
.
2
r
-
-
c
:
H
a
:
"
0
.
2
L
0
_
4
4
"
I
2
0
2
0
4
.
:
_
+
r
—
-
_
m
0
E
C
:
U
7
m
-
1
.
0
-
-
I
E
_
1
.
4
J
1
l
1
I
l
-
1
.
4
—
1
.
0
-
0
.
6
-
o
.
2
0
.
2
0
.
6
1
.
0
1
.
4
I
l
m
e
n
i
t
e
l
o
g
(
M
g
/
M
n
)
F
i
g
u
r
e
A
3
-
1
.
M
g
/
M
n
p
a
r
t
i
t
i
o
n
i
n
g
f
o
r
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
.
T 

2
4
8
A
M
M
O
N
I
A
T
A
N
K
S
M
E
M
B
E
R
 
1
.
4
I
I
I
I
I
I
'
E
'
L
o
-
-
I
E
‘
\
~
§
?
0
6
-
-
M
a
g
n
e
t
i
t
e
l
o
g
I
 
 
_
1
.
4
l
l
l
l
L
l
-
1
.
4
-
1
.
0
-
0
.
5
-
0
.
2
0
.
2
0
.
5
1
.
0
1
.
4
I
l
m
e
n
i
t
e
l
o
g
(
M
g
/
M
n
)
F
i
g
u
r
e
A
3
-
2
.
M
g
/
M
n
p
a
r
t
i
t
i
o
n
i
n
g
f
o
r
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
i
n
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
.
2
4
9
A
p
p
r
o
x
i
m
a
t
e
l
y
1
0
-
1
5
g
r
a
i
n
s
o
f
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
w
e
r
e
m
e
a
s
u
r
e
d
p
e
r
s
a
m
p
l
e
.
A
f
t
e
r
a
v
e
r
a
g
i
n
g
i
n
d
i
v
i
d
u
a
l
g
r
a
i
n
a
n
a
l
y
s
e
s
,
t
h
e
r
e
s
u
l
t
i
n
g
a
n
a
l
y
s
i
s
f
o
r
e
a
c
h
g
r
a
i
n
w
a
s
c
o
m
p
a
r
e
d
w
i
t
h
o
t
h
e
r
g
r
a
i
n
s
i
n
t
h
a
t
s
a
m
p
l
e
.
G
r
a
i
n
s
o
f
s
i
m
i
l
a
r
c
o
m
p
o
s
i
t
i
o
n
w
e
r
e
t
h
e
n
c
o
m
b
i
n
e
d
a
n
d
a
v
e
r
a
g
e
d
.
I
n
t
h
i
s
f
a
s
h
i
o
n
,
o
n
e
t
o
s
e
v
e
r
a
l
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
c
o
m
p
o
s
i
t
i
o
n
s
w
e
r
e
d
e
t
e
r
m
i
n
e
d
f
o
r
e
a
c
h
s
a
m
p
l
e
.
M
a
g
n
e
t
i
t
e
g
r
a
i
n
s
w
i
t
h
a
n
a
l
y
t
i
c
a
l
t
o
t
a
l
s
l
e
s
s
t
h
a
n
9
0
.
0
w
t
%
w
e
r
e
n
o
t
u
s
e
d
.
U
s
p
a
n
d
I
l
m
m
o
l
e
f
r
a
c
t
i
o
n
s
w
e
r
e
c
a
l
c
u
l
a
t
e
d
u
s
i
n
g
t
h
e
m
e
t
h
o
d
s
o
f
L
i
n
d
s
l
e
y
a
n
d
S
p
e
n
c
e
r
(
1
9
8
2
)
a
n
d
S
t
o
r
m
e
r
(
1
9
8
3
)
.
I
f
a
t
a
l
l
p
o
s
s
i
b
l
e
,
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
p
a
i
r
s
w
i
t
h
c
o
m
m
o
n
g
r
a
i
n
b
o
u
n
d
a
r
i
e
s
w
e
r
e
a
n
a
l
y
z
e
d
a
s
t
h
e
s
e
p
h
e
n
o
c
r
y
s
t
p
a
i
r
s
p
r
o
v
i
d
e
t
h
e
m
o
s
t
r
e
l
i
a
b
l
e
d
a
t
a
.
I
t
i
s
i
n
f
e
r
r
e
d
t
h
a
t
t
h
e
s
e
p
h
a
s
e
s
c
r
y
s
t
a
l
l
i
z
e
d
c
o
e
v
a
l
l
y
w
i
t
h
i
n
t
h
e
m
a
g
m
a
b
o
d
y
.
I
f
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
s
w
i
t
h
c
o
m
m
o
n
g
r
a
i
n
b
o
u
n
d
a
r
i
e
s
w
e
r
e
n
o
t
f
o
u
n
d
w
i
t
h
i
n
a
s
a
m
p
l
e
,
a
l
l
p
o
s
s
i
b
l
e
c
o
m
b
i
n
a
t
i
o
n
s
o
f
t
h
e
U
s
p
-
I
l
m
m
o
l
e
f
r
a
c
t
i
o
n
s
f
o
r
a
g
i
v
e
n
s
a
m
p
l
e
w
e
r
e
u
s
e
d
t
o
c
a
l
c
u
l
a
t
e
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
.
A
l
l
t
e
m
p
e
r
a
t
u
r
e
s
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
i
e
s
w
e
r
e
c
a
l
c
u
l
a
t
e
d
w
i
t
h
t
h
e
B
a
s
i
c
p
r
o
g
r
a
m
N
E
W
S
T
F
O
Z
(
A
n
d
e
r
s
o
n
a
n
d
L
i
n
d
s
l
e
y
,
1
9
8
5
)
.
A
P
P
E
N
D
I
X
4
E
l
e
c
t
r
o
n
M
i
c
r
o
p
r
o
b
e
D
a
t
a
f
o
r
P
h
e
n
o
c
r
y
s
t
s
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
2
5
0
E
x
p
l
a
n
a
t
i
o
n
o
f
T
a
b
l
e
S
y
m
b
o
l
s
f
o
r
A
p
p
e
n
d
i
x
4
R
8
-
4
4
S
a
m
p
l
e
f
r
o
m
t
h
e
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
m
p
l
e
f
r
o
m
t
h
e
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
t
r
a
t
i
g
r
a
p
h
i
c
s
e
c
t
i
o
n
n
u
m
b
e
r
4
=
S
a
m
p
l
e
n
u
m
b
e
r
R
A
.
3
4
W
h
o
l
e
A
n
u
n
c
r
u
s
h
e
d
p
h
e
n
o
c
r
y
s
t
w
a
s
h
a
n
d
p
i
c
k
e
d
f
r
o
m
t
h
e
G
r
a
i
n
p
u
m
i
c
e
s
a
m
p
l
e
a
n
d
m
o
u
n
t
e
d
i
n
s
t
a
n
d
a
r
d
m
e
t
a
l
l
u
r
g
i
c
a
l
e
p
o
x
y
m
o
u
n
t
w
i
t
h
s
e
v
e
r
a
l
o
t
h
e
r
h
a
n
d
—
p
i
c
k
e
d
p
h
e
n
o
c
r
y
s
t
s
.
T
h
i
n
P
h
e
n
o
c
r
y
s
t
a
n
a
l
y
s
e
s
f
r
o
m
a
p
o
l
i
s
h
e
d
t
h
i
n
s
e
c
t
i
o
n
S
e
c
t
i
o
n
G
r
a
i
n
P
h
e
n
o
c
r
y
s
t
s
s
e
p
a
r
a
t
e
d
i
n
h
e
a
v
y
l
i
q
u
i
d
s
a
f
t
e
r
M
b
u
n
t
c
r
u
s
h
i
n
g
o
f
t
h
e
h
o
s
t
p
u
m
i
c
e
f
r
a
g
m
e
n
t
.
T
h
e
p
h
e
n
o
c
r
y
s
t
s
w
e
r
e
t
h
e
n
m
o
u
n
t
e
d
i
n
a
s
t
a
n
d
a
r
d
m
e
t
a
l
l
u
r
g
i
c
a
l
e
p
o
x
y
m
o
u
n
t
.
P
o
s
i
t
i
o
n
A
n
a
l
y
s
i
s
o
f
t
h
e
p
h
e
n
o
c
r
y
s
t
e
d
g
e
N
e
a
r
e
d
g
e
a
n
a
l
y
s
i
s
N
e
a
r
c
e
n
t
e
r
a
n
a
l
y
s
i
s
G
r
a
i
n
c
e
n
t
e
r
a
n
a
l
y
s
i
s
P
o
s
s
i
b
l
e
d
i
s
e
q
u
i
l
i
b
r
i
u
m
p
h
e
n
o
c
r
y
s
t
.
M
a
y
h
a
v
e
e
x
h
i
b
i
t
e
d
r
e
s
o
r
b
t
i
o
n
t
e
x
t
u
r
e
.
A
n
a
l
y
s
e
s
o
f
a
m
a
g
n
e
t
i
t
e
a
n
d
i
l
m
e
n
i
t
e
p
h
e
n
o
c
r
y
s
t
p
a
i
r
.
T
h
e
g
r
a
i
n
s
w
e
r
e
a
t
t
a
c
h
e
d
a
l
o
n
g
a
c
o
m
m
o
n
g
r
a
i
n
b
o
u
n
d
a
r
y
a
n
d
w
e
r
e
a
s
s
u
m
e
d
t
o
b
e
i
n
e
q
u
i
l
i
b
r
i
u
m
w
i
t
h
e
a
c
h
o
t
h
e
r
.
E
N
E
N
C
C
p
1
 
 
 
 
A
p
p
e
n
d
i
x
4
.
M
i
n
e
r
a
l
a
n
d
g
l
a
s
s
c
o
m
p
o
s
i
t
i
o
n
s
d
e
t
e
r
m
i
n
e
d
b
y
e
l
e
c
t
r
o
n
m
i
c
r
o
p
r
o
b
e
a
n
a
l
y
s
i
s
f
o
r
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
.
G
L
A
S
S
A
N
A
L
Y
S
E
S
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
S
a
n
l
p
l
e
I
d
8
1
0
2
1
1
2
0
3
n
o
3
4
9
0
C
a
O
1
4
5
2
0
1
:
2
0
1
1
o
z
M
n
O
9
2
0
5
3
.
0
T
o
t
a
l
R
8
-
2
5
7
0
.
0
1
1
5
.
1
3
0
.
2
3
0
.
0
3
0
.
4
5
3
.
7
6
5
.
8
5
0
.
3
4
0
.
0
0
0
.
0
7
0
.
0
8
9
5
.
9
6
6
7
.
5
0
1
4
.
5
0
0
.
6
2
0
.
1
1
0
.
6
2
3
.
3
8
6
.
3
3
0
.
3
1
0
.
0
6
0
.
0
8
0
.
0
8
9
3
.
6
0
6
7
.
6
0
1
4
.
5
2
0
.
2
5
0
.
1
0
0
.
6
3
3
.
8
0
5
.
7
9
0
.
2
9
0
.
0
0
0
.
0
7
0
.
0
9
9
3
.
1
5
6
8
.
2
6
1
4
.
1
1
2
.
2
6
0
.
2
5
0
.
9
7
4
.
0
1
5
.
6
4
0
.
3
7
0
.
0
9
0
.
0
0
0
.
1
3
9
6
.
0
9
6
9
.
3
7
1
4
.
5
0
0
.
4
2
0
.
2
1
0
.
8
5
3
.
8
9
5
.
8
2
0
.
3
4
0
.
3
2
0
.
0
2
0
.
0
3
9
5
.
7
8
6
7
.
9
4
1
4
.
6
7
0
.
8
7
0
.
1
9
0
.
7
5
4
.
0
8
6
.
0
0
0
.
3
1
0
.
0
4
0
.
0
9
0
.
1
2
9
5
.
0
4
6
4
.
7
6
1
3
.
9
5
3
.
3
9
0
.
8
3
1
.
6
1
4
.
3
3
5
.
6
1
0
.
4
4
0
.
0
8
0
.
0
2
0
.
0
7
9
5
.
0
8
6
9
.
8
0
1
5
.
0
2
0
.
2
4
0
.
0
6
0
.
4
5
3
.
9
7
6
.
0
4
0
.
3
5
0
.
0
0
0
.
0
7
0
.
0
2
9
6
.
0
2
R
8
-
4
4
6
9
.
1
2
1
2
.
1
4
0
.
2
8
0
.
0
2
0
.
4
3
1
.
6
2
6
.
4
0
0
.
2
1
0
.
0
2
0
.
0
7
0
.
0
0
9
0
.
3
1
7
1
.
0
7
1
3
.
5
9
0
.
2
9
0
.
0
2
0
.
4
9
2
.
7
8
6
.
0
6
0
.
2
2
0
.
0
6
0
.
0
0
0
.
0
0
9
4
.
5
8
7
1
.
7
8
1
3
.
9
5
0
.
7
5
0
.
0
2
0
.
4
5
3
.
2
1
5
.
6
1
0
.
2
0
0
.
0
7
0
.
0
4
0
.
0
2
9
6
.
1
0
7
2
.
0
1
1
4
.
7
7
0
.
3
9
0
.
0
6
0
.
5
7
2
.
5
9
6
.
3
8
0
.
2
4
0
.
0
3
0
.
1
1
0
.
0
4
9
7
.
1
9
7
2
.
3
0
1
4
.
2
8
0
.
3
1
0
.
0
5
0
.
4
6
2
.
9
9
6
.
0
5
0
.
2
2
0
.
0
3
0
.
0
6
0
.
0
0
9
6
.
7
5
6
8
.
9
9
1
3
.
1
8
0
.
3
1
0
.
0
4
0
.
4
5
3
.
2
4
6
.
5
9
0
.
1
7
0
.
0
0
0
.
0
6
0
.
0
0
9
3
.
0
3
6
8
.
3
3
1
3
.
1
0
0
.
2
7
0
.
0
2
0
.
5
0
2
.
2
2
6
.
4
7
0
.
2
2
0
.
0
4
0
.
0
4
0
.
0
0
9
1
.
2
1
6
6
.
1
6
1
3
.
8
5
0
.
4
3
0
.
2
0
0
.
6
1
2
.
8
2
5
.
5
0
0
.
2
9
0
.
0
2
0
.
1
1
0
.
0
0
8
9
.
9
9
6
9
.
2
0
1
4
.
8
3
0
.
2
8
0
.
1
3
0
.
5
1
3
.
3
3
5
.
6
4
0
.
2
3
0
.
0
2
0
.
1
1
0
.
0
0
9
4
.
2
8
6
6
.
5
5
1
3
.
8
9
0
.
4
6
0
.
1
0
0
.
5
6
2
.
6
8
5
.
8
1
0
.
2
4
0
.
0
6
0
.
1
1
0
.
0
3
9
0
.
4
9
R
8
-
4
5
6
8
.
7
1
1
5
.
2
1
1
.
0
5
0
.
0
4
0
.
6
7
3
.
2
8
5
.
8
7
0
.
2
5
0
.
8
3
0
.
0
0
0
.
1
0
9
6
.
0
1
6
5
.
9
5
1
4
.
5
4
0
.
4
4
0
.
0
5
0
.
7
0
2
.
9
2
6
.
2
2
0
.
2
8
0
.
0
0
0
.
0
0
0
.
1
0
9
1
.
2
0
6
7
.
9
4
1
4
.
7
1
1
.
2
0
0
.
0
8
0
.
6
8
3
.
7
3
5
.
6
6
0
.
2
8
0
.
0
0
0
.
0
0
0
.
1
6
9
4
.
4
4
6
8
.
9
9
1
5
.
0
2
1
.
0
1
0
.
0
6
0
.
5
9
3
.
6
1
5
.
8
9
0
.
2
8
0
.
0
0
0
.
0
0
0
.
1
0
9
5
.
5
5
6
8
.
6
8
1
4
.
8
7
1
.
2
4
0
.
1
6
0
.
7
9
3
.
8
5
5
.
9
0
0
.
2
8
0
.
0
0
0
.
0
0
0
.
1
2
9
5
.
8
9
6
6
.
9
2
1
4
.
9
8
1
.
2
0
0
.
1
3
0
.
7
8
3
.
8
6
5
.
7
4
0
.
2
4
0
.
0
0
0
.
0
0
0
.
1
0
9
3
.
9
5
6
6
.
8
4
1
4
.
5
6
1
.
3
3
0
.
0
7
0
.
6
1
3
.
3
7
6
.
0
0
0
.
2
6
0
.
0
0
0
.
0
0
0
.
0
8
9
3
.
1
2
6
6
.
6
3
1
4
.
3
4
1
.
1
7
0
.
1
2
0
.
7
2
3
.
4
2
5
.
8
5
0
.
2
7
0
.
0
0
0
.
0
0
0
.
1
3
9
2
.
6
5
6
8
.
4
0
1
4
.
7
2
0
.
9
0
0
.
1
1
0
.
6
3
3
.
3
2
6
.
2
1
0
.
2
6
0
.
0
0
0
.
0
5
0
.
2
1
9
4
.
8
1
6
8
.
0
7
1
4
.
8
7
1
.
3
3
0
.
1
3
0
.
6
3
3
.
9
6
5
.
8
9
0
.
2
8
0
.
0
0
0
.
0
0
0
.
0
5
9
5
.
2
1
6
8
.
8
4
1
5
.
3
2
1
.
0
5
0
.
0
7
0
.
7
4
3
.
6
9
5
.
8
0
0
.
2
7
0
.
0
0
0
.
0
0
0
.
1
7
9
5
.
9
5
6
7
.
8
6
1
5
.
1
0
0
.
6
4
0
.
0
8
0
.
8
9
2
.
7
9
6
.
6
4
0
.
2
1
0
.
0
0
0
.
0
0
0
.
0
9
9
4
.
3
0
6
7
.
9
2
1
5
.
0
2
1
.
1
8
0
.
0
4
0
.
6
8
3
.
5
0
5
.
8
5
0
.
2
8
0
.
0
0
0
.
0
0
0
.
0
9
9
4
.
5
6
6
8
.
8
4
1
4
.
7
8
1
.
2
6
0
.
1
2
0
.
8
5
3
.
8
4
5
.
8
3
0
.
3
0
0
.
0
3
0
.
0
0
0
.
0
5
9
5
.
9
0
6
8
.
5
8
1
5
.
0
8
1
.
3
7
0
.
0
9
0
.
6
9
3
.
5
9
5
.
8
7
0
.
2
3
0
.
0
5
0
.
0
3
0
.
0
0
9
5
.
5
8
2
5
1
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
5
2
 
G
L
A
S
S
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
 
S
a
m
p
l
e
I
d
8
1
0
2
A
1
2
0
3
F
o
o
M
g
O
C
a
O
N
a
2
0
K
2
0
T
1
0
2
M
n
O
9
2
0
5
B
a
O
T
o
t
a
l
R
l
l
-
S
6
6
.
7
8
1
5
.
7
5
1
.
0
3
0
.
2
7
1
.
0
7
3
.
7
6
5
.
1
3
0
.
3
5
0
.
0
4
0
.
0
4
0
.
2
2
9
4
.
4
4
6
7
.
3
3
1
5
.
9
9
0
.
9
2
0
.
2
4
1
.
0
1
4
.
1
5
5
.
0
0
0
.
3
3
0
.
0
8
0
.
0
5
0
.
1
3
9
5
.
2
3
6
6
.
4
5
1
5
.
4
4
1
.
2
2
0
.
2
5
1
.
0
4
4
.
3
7
5
.
5
3
0
.
3
4
1
.
2
9
0
.
1
2
0
.
1
6
9
6
.
2
1
6
6
.
3
1
1
5
.
2
9
1
.
5
7
0
.
3
7
1
.
1
8
3
.
8
3
5
.
1
1
0
.
3
7
0
.
1
2
0
.
0
9
0
.
1
7
9
4
.
4
1
6
7
.
0
3
1
5
.
4
0
0
.
9
3
0
.
2
3
0
.
9
5
3
.
8
9
5
.
6
1
0
.
3
4
0
.
0
9
0
.
0
8
0
.
1
1
9
4
.
6
6
6
7
.
0
3
1
5
.
5
2
0
.
8
4
0
.
2
0
0
.
9
0
4
.
2
9
5
.
2
1
0
.
3
4
0
.
0
4
0
.
0
6
0
.
1
5
9
4
.
5
8
6
6
.
4
9
1
5
.
2
7
0
.
5
8
0
.
1
9
0
.
9
3
3
.
6
9
5
.
5
9
0
.
3
0
0
.
0
4
0
.
0
7
0
.
1
5
9
3
.
3
0
6
1
.
9
1
1
6
.
6
1
1
.
4
7
0
.
1
8
0
.
8
4
3
.
5
2
5
.
0
8
0
.
2
7
0
.
0
6
0
.
0
5
0
.
1
3
9
0
.
1
2
6
5
.
1
9
1
5
.
0
7
1
.
5
8
0
.
2
6
0
.
9
1
4
.
0
3
5
.
3
6
0
.
3
5
0
.
0
5
0
.
0
5
0
.
0
4
9
2
.
8
9
6
5
.
0
9
1
4
.
8
5
1
.
3
8
0
.
2
8
1
.
0
4
3
.
5
5
5
.
6
4
0
.
3
3
0
.
0
9
0
.
0
0
0
.
1
0
9
2
.
3
5
6
4
.
1
2
1
5
.
3
1
1
.
7
7
0
.
2
5
1
.
0
3
3
.
8
1
4
.
9
9
0
.
3
2
0
.
1
1
0
.
0
9
0
.
1
1
9
1
.
9
1
R
l
l
-
7
7
4
.
1
3
1
2
.
3
8
0
.
1
5
0
.
0
2
0
.
3
6
3
.
1
0
5
.
3
1
0
.
1
2
0
.
0
5
0
.
0
0
0
.
0
0
9
5
.
6
2
7
2
.
9
8
1
2
.
3
4
0
.
1
6
0
.
0
2
0
.
3
8
3
.
0
0
5
.
5
4
0
.
1
2
0
.
0
5
0
.
0
2
0
.
0
4
9
4
.
6
5
7
3
.
8
8
1
2
.
6
2
0
.
1
6
0
.
0
2
0
.
3
7
3
.
1
4
5
.
6
0
0
.
1
2
0
.
0
8
0
.
1
0
0
.
0
0
9
6
.
0
9
7
2
.
7
9
1
2
.
6
2
0
.
1
8
0
.
0
3
0
.
3
0
3
.
1
0
5
.
4
0
0
.
0
9
0
.
0
7
0
.
0
0
0
.
0
0
9
4
.
5
8
7
3
.
8
4
1
2
.
6
0
0
.
2
4
0
.
0
2
0
.
3
2
3
.
1
1
5
.
6
1
0
.
0
7
0
.
0
9
0
.
0
4
0
.
0
5
9
5
.
9
9
7
4
.
2
8
1
2
.
4
9
0
.
1
3
0
.
0
3
0
.
3
2
3
.
1
7
5
.
2
9
0
.
0
7
0
.
0
8
0
.
0
7
0
.
0
0
9
5
.
9
3
7
4
.
1
5
1
2
.
6
2
0
.
1
5
0
.
0
3
0
.
3
7
2
.
8
1
6
.
0
5
0
.
1
2
0
.
0
7
0
.
0
7
0
.
0
0
9
6
.
4
4
7
2
.
7
1
1
2
.
5
5
0
.
3
8
0
.
0
3
0
.
3
7
2
.
7
2
5
.
7
6
0
.
0
9
0
.
0
5
0
.
0
7
0
.
0
0
9
4
.
7
3
7
3
.
2
0
1
2
.
6
0
0
.
2
0
0
.
0
5
0
.
3
5
2
.
9
8
5
.
9
9
0
.
1
1
0
.
0
3
0
.
0
5
0
.
0
4
9
5
.
6
0
7
2
.
0
3
1
2
.
5
2
0
.
1
6
0
.
0
2
0
.
3
3
3
.
0
5
5
.
4
7
0
.
0
9
0
.
0
9
0
.
0
0
0
.
0
0
9
3
.
7
6
7
2
.
7
5
1
2
.
2
0
0
.
1
6
0
.
0
4
0
.
3
1
2
.
6
4
5
.
9
6
0
.
0
7
0
.
0
8
0
.
0
4
0
.
0
0
9
4
.
2
5
7
2
.
6
4
1
2
.
6
7
0
.
1
3
0
.
0
3
0
.
3
4
4
.
1
9
5
.
5
1
0
.
0
9
0
.
0
9
0
.
0
5
0
.
0
0
9
5
.
7
4
7
3
.
1
1
1
3
.
1
7
0
.
2
0
0
.
0
2
0
.
0
6
3
.
4
4
5
.
8
1
0
.
0
6
0
.
0
3
0
.
0
4
0
.
0
4
9
5
.
9
8
7
4
.
1
7
1
2
.
8
7
0
.
1
3
0
.
0
2
0
.
0
5
2
.
1
2
7
.
3
9
0
.
0
9
0
.
0
0
0
.
0
0
0
.
0
4
9
6
.
8
8
7
3
.
7
3
1
2
.
3
1
0
.
4
5
0
.
0
3
0
.
0
6
2
.
3
8
6
.
8
3
0
.
1
4
0
.
0
0
0
.
0
0
0
.
0
8
9
6
.
0
1
6
4
.
3
8
1
6
.
2
0
2
.
5
6
1
.
5
5
0
.
9
3
3
.
2
1
3
.
1
7
0
.
7
3
0
.
0
0
0
.
0
5
0
.
2
2
9
3
.
0
0
6
7
.
3
0
1
4
.
5
2
0
.
3
4
0
.
1
1
1
.
7
0
4
.
9
2
2
.
4
4
0
.
0
0
0
.
0
0
0
.
0
8
0
.
0
0
9
1
.
4
1
7
4
.
2
2
1
1
.
4
4
0
.
7
9
0
.
2
5
1
.
0
3
3
.
7
2
2
.
7
4
0
.
5
4
0
.
0
6
0
.
1
0
0
.
0
8
9
4
.
9
7
7
0
.
9
4
1
6
.
0
1
0
.
4
1
0
.
0
7
2
.
7
1
5
.
8
3
1
.
1
2
0
.
1
1
0
.
0
5
0
.
0
0
0
.
0
5
9
7
.
3
0
7
0
.
9
8
1
5
.
2
4
0
.
3
4
0
.
1
0
1
.
8
7
5
.
2
2
2
.
4
4
0
.
1
0
0
.
0
0
0
.
0
0
0
.
0
6
9
6
.
3
5
7
3
.
0
7
1
2
.
5
5
0
.
6
7
0
.
0
3
0
.
1
0
3
.
0
5
6
.
2
7
0
.
1
7
0
.
0
0
0
.
0
0
0
.
1
4
9
6
.
0
5
7
4
.
1
7
1
2
.
2
1
0
.
1
8
0
.
0
7
0
.
2
3
3
.
0
6
5
.
4
3
0
.
0
9
0
.
0
0
0
.
0
0
0
.
0
3
~
9
5
.
4
7
7
5
.
0
2
1
1
.
9
0
0
.
2
0
0
.
0
7
0
.
2
9
3
.
0
5
5
.
6
4
0
.
1
2
0
.
0
0
0
.
0
0
0
.
0
0
9
6
.
2
9
7
2
.
9
7
1
1
.
2
6
0
.
1
9
0
.
0
4
0
.
2
0
2
.
8
7
5
.
7
2
0
.
0
7
0
.
0
2
0
.
0
0
0
.
0
3
9
3
.
3
7
7
2
.
7
0
1
1
.
4
0
0
.
2
1
0
.
0
4
0
.
1
7
3
.
0
8
5
.
7
5
0
.
0
5
0
.
0
0
0
.
0
0
0
.
0
3
9
3
.
4
3
2
5
3
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
G
L
A
S
S
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
 
S
a
m
p
l
e
I
d
3
1
0
2
A
1
2
0
3
’
0
0
M
9
0
C
8
0
"
3
2
0
K
2
0
1
1
0
2
M
n
O
P
2
0
5
3
3
0
T
o
t
a
l
3
1
8
-
2
7
4
.
6
0
1
2
.
6
0
0
.
2
0
0
.
0
2
0
.
4
3
2
.
6
5
6
.
0
1
0
.
1
2
0
.
0
4
0
.
0
3
0
.
0
2
9
6
.
7
3
7
5
.
0
9
1
2
.
2
7
0
.
5
6
0
.
0
6
0
.
4
4
3
.
4
0
4
.
8
6
0
.
0
9
0
.
0
4
0
.
0
0
0
.
0
5
9
6
.
8
6
7
5
.
2
0
1
2
.
6
8
0
.
5
2
0
.
0
5
0
.
4
7
3
.
5
9
4
.
7
0
0
.
0
7
0
.
0
1
0
.
0
3
0
.
0
3
9
7
.
3
7
7
3
.
6
2
1
2
.
6
6
0
.
2
3
0
.
0
0
0
.
4
9
3
.
0
3
5
.
6
9
0
.
0
7
0
.
0
0
0
.
0
7
0
.
0
3
9
5
.
8
8
7
4
.
5
7
1
2
.
6
7
0
.
3
0
0
.
0
4
0
.
4
6
2
.
7
4
6
.
0
1
0
.
1
2
0
.
0
6
0
.
0
0
0
.
0
0
9
6
.
9
8
7
4
.
8
1
1
2
.
6
9
0
.
4
4
0
.
0
6
0
.
4
7
3
.
6
0
5
.
1
4
0
.
0
9
0
.
0
0
0
.
0
9
0
.
0
5
9
7
.
4
5
7
4
.
1
0
1
2
.
6
7
0
.
4
2
0
.
0
8
0
.
4
8
3
.
1
1
5
.
5
7
0
.
1
0
0
.
0
5
0
.
0
3
0
.
0
2
9
6
.
6
1
7
5
.
1
7
1
2
.
9
9
0
.
3
3
0
.
0
7
.
4
9
3
.
0
9
5
.
7
3
0
.
1
2
0
.
0
1
0
.
0
7
0
.
0
0
9
8
.
0
8
7
3
.
3
8
1
2
.
6
5
0
.
3
0
0
.
0
6
0
.
4
1
2
.
9
3
6
.
0
7
0
.
1
0
0
.
0
0
0
.
0
3
0
.
0
6
9
6
.
0
1
7
1
.
2
7
1
2
.
3
3
0
.
1
1
0
.
0
2
0
.
4
0
2
.
4
7
6
.
3
8
0
.
0
8
0
.
0
2
0
.
0
5
0
.
0
3
9
3
.
1
5
7
3
.
5
8
1
2
.
7
9
0
.
4
9
0
.
0
7
0
.
4
8
3
.
5
2
4
.
8
2
0
.
1
4
0
.
0
5
0
.
0
5
0
.
0
4
9
6
.
0
1
7
4
.
1
8
1
2
.
8
7
0
.
2
6
0
.
0
3
0
.
4
1
2
.
7
0
5
.
7
8
0
.
1
2
0
.
0
2
0
.
0
9
0
.
0
0
9
6
.
4
8
7
4
.
8
7
1
2
.
6
7
0
.
4
6
0
.
0
5
0
.
4
2
3
.
6
3
4
.
7
7
0
.
1
4
0
.
0
0
0
.
0
0
0
.
0
3
9
7
.
0
4
0
R
I
O
-
1
6
7
5
.
3
2
1
2
.
5
6
0
.
5
6
0
.
0
5
0
.
4
7
3
.
4
1
5
.
0
4
0
.
1
3
0
.
0
6
0
.
0
7
0
.
0
0
9
7
.
6
7
7
3
.
9
3
1
2
.
3
4
0
.
5
3
0
.
0
3
0
.
4
4
3
.
4
8
4
.
9
9
0
.
1
5
0
.
0
7
0
.
1
0
0
.
0
0
9
6
.
0
6
7
4
.
5
1
1
2
.
4
2
0
.
4
0
0
.
0
2
0
.
3
9
3
.
1
5
5
.
4
7
0
.
1
2
0
.
0
8
0
.
0
0
0
.
0
2
9
6
.
5
8
7
4
.
5
7
1
2
.
0
8
0
.
5
7
0
.
0
5
0
.
3
8
3
.
6
4
4
.
9
6
0
.
1
2
0
.
0
4
0
.
0
8
0
.
0
0
9
6
.
4
9
7
3
.
2
8
1
2
.
5
2
0
.
5
7
0
.
0
6
0
.
4
9
3
.
3
5
4
.
7
7
0
.
1
4
0
.
0
2
0
.
0
0
0
.
0
0
9
5
.
2
0
7
4
.
0
3
1
2
.
5
8
0
.
4
2
0
.
0
5
0
.
4
6
3
.
2
3
5
.
2
6
0
.
1
0
0
.
0
3
0
.
0
6
0
.
0
0
9
6
.
2
2
7
2
.
7
4
1
2
.
6
1
0
.
5
0
0
.
0
4
0
.
4
6
3
.
6
7
5
.
0
6
0
.
1
1
0
.
0
2
0
.
0
6
0
.
0
0
9
5
.
2
7
7
4
.
7
3
1
2
.
5
0
0
.
5
4
0
.
0
5
0
.
4
3
3
.
3
7
5
.
0
0
0
.
1
4
0
.
0
3
0
.
0
6
0
.
0
0
9
6
.
8
5
7
4
.
4
7
1
2
.
3
8
0
.
6
0
0
.
0
4
0
.
4
6
3
.
4
6
4
.
9
3
0
.
1
3
0
.
0
7
0
.
0
0
0
.
0
0
9
6
.
5
4
7
5
.
1
9
1
2
.
4
9
0
.
5
8
0
.
0
6
0
.
4
7
3
.
5
6
4
.
7
8
0
.
1
0
0
.
0
5
0
.
0
8
0
.
0
7
9
7
.
4
3
7
5
.
2
5
1
2
.
6
1
0
.
4
3
0
.
0
4
0
.
5
0
3
.
4
3
5
.
5
5
0
.
1
0
0
.
0
5
0
.
0
4
0
.
0
0
9
8
.
0
0
7
4
.
3
4
1
2
.
8
5
0
.
5
2
0
.
0
5
0
.
4
3
3
.
4
2
4
.
8
6
0
.
1
4
0
.
0
5
0
.
0
0
0
.
0
0
9
6
.
6
6
7
5
.
0
1
1
2
.
8
3
0
.
5
0
0
.
0
5
0
.
4
4
3
.
5
1
4
.
8
5
0
.
1
4
0
.
0
6
0
.
0
4
0
.
0
0
9
7
.
4
3
7
4
.
9
2
1
2
.
5
6
0
.
5
8
0
.
0
6
0
.
4
3
3
.
4
3
5
.
0
5
0
.
2
1
0
.
0
6
0
.
0
2
0
.
0
6
9
7
.
3
8
7
5
.
1
3
1
2
.
6
1
0
.
6
5
0
.
0
5
0
.
5
0
3
.
6
1
5
.
0
1
0
.
1
5
0
.
0
9
0
.
0
4
0
.
0
6
9
7
.
9
0
2
2
1
-
1
7
0
.
1
4
1
3
.
8
3
0
.
9
8
0
.
1
2
0
.
5
6
3
.
4
7
5
.
6
7
0
.
2
2
0
.
1
1
0
.
0
0
0
.
0
0
9
5
.
1
0
6
9
.
2
2
1
3
.
7
0
0
.
9
0
0
.
1
1
0
.
6
1
3
.
4
2
5
.
7
6
0
.
2
0
0
.
0
4
0
.
0
0
0
.
0
0
9
3
.
9
6
6
8
.
5
5
1
3
.
8
4
0
.
7
9
0
.
1
1
0
.
6
4
3
.
4
0
5
.
8
0
0
.
1
9
0
.
0
6
0
.
0
0
0
.
0
0
9
3
.
3
8
6
8
.
4
0
1
3
.
6
2
0
.
9
3
0
.
1
2
0
.
6
4
3
.
4
7
5
.
7
8
0
.
3
0
0
.
0
4
0
.
0
5
0
.
0
0
9
3
.
3
5
6
9
.
4
1
1
3
.
6
7
0
.
9
9
0
.
1
1
0
.
6
4
3
.
3
1
5
.
5
0
0
.
2
1
0
.
0
4
0
.
0
0
0
.
0
0
9
3
.
8
8
2
5
4
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
G
L
A
S
S
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
b
m
b
e
r
 
S
W
I
G
I
d
8
1
0
2
“
2
0
3
’
0
0
“
0
C
O
O
N
3
2
0
X
2
0
1
1
0
2
M
n
O
P
2
0
5
3
.
0
1
0
3
3
1
 
3
2
1
-
5
7
3
.
7
6
1
2
.
5
1
0
.
4
7
0
.
0
8
0
.
4
6
2
.
9
6
5
.
2
5
0
.
1
6
0
.
0
0
0
.
0
0
0
.
0
9
9
5
.
7
4
7
3
.
9
6
1
2
.
4
1
0
.
3
7
0
.
0
4
0
.
4
4
2
.
7
5
5
.
4
6
0
.
1
2
0
.
0
2
0
.
0
0
0
.
0
4
9
5
.
6
1
7
3
.
6
7
1
2
.
3
7
0
.
6
1
0
.
1
0
0
.
4
5
3
.
0
5
5
.
2
1
0
.
1
4
0
.
6
0
0
.
0
0
0
.
0
3
9
6
.
2
3
7
2
.
0
6
1
2
.
3
7
0
.
6
9
0
.
0
7
0
.
4
3
3
.
1
0
5
.
0
7
0
.
1
3
0
.
0
0
0
.
0
4
0
.
0
0
9
3
.
9
6
7
2
.
6
3
1
2
.
0
8
0
.
6
6
0
.
0
9
0
.
4
6
3
.
0
5
5
.
2
3
0
.
1
6
0
.
0
0
0
.
0
0
0
.
0
4
9
4
.
4
0
R
2
1
-
1
3
6
8
.
2
2
1
6
.
1
2
1
.
4
0
0
.
4
1
1
.
2
4
3
.
9
3
4
.
8
9
0
.
3
5
0
.
0
6
0
.
0
6
0
.
1
2
9
6
.
8
0
6
7
.
1
6
1
5
.
8
4
1
.
4
3
0
.
3
8
1
.
2
9
3
.
8
9
4
.
8
2
0
.
3
7
0
.
0
7
0
.
0
2
0
.
2
2
9
5
.
4
9
6
6
.
2
7
1
5
.
7
0
1
.
6
6
0
.
4
3
1
.
5
5
3
.
9
2
5
.
0
4
0
.
3
7
0
.
0
9
0
.
1
0
0
.
2
0
9
5
.
3
3
6
7
.
3
3
1
5
.
9
8
1
.
0
6
0
.
3
6
1
.
4
5
4
.
2
5
4
.
9
7
0
.
3
5
0
.
1
1
0
.
0
7
0
.
1
4
9
6
.
0
8
6
6
.
8
3
1
5
.
5
9
1
.
4
6
0
.
4
5
1
.
4
9
4
.
0
5
4
.
9
5
0
.
3
7
0
.
0
4
0
.
0
7
0
.
1
7
9
5
.
4
7
6
6
.
7
2
1
5
.
9
0
1
.
1
5
0
.
3
9
1
.
4
0
3
.
7
6
5
.
0
3
0
.
4
2
0
.
0
3
0
.
1
1
0
.
2
2
9
5
.
1
2
6
7
.
1
1
1
5
.
7
4
1
.
3
8
0
.
4
8
1
.
3
5
4
.
0
6
4
.
9
7
0
.
4
3
0
.
1
1
0
.
0
9
0
.
1
6
9
5
.
8
7
6
7
.
0
6
1
5
.
8
7
1
.
5
9
0
.
4
7
1
.
5
1
3
.
7
4
4
.
9
2
0
.
3
3
0
.
0
8
0
.
0
9
0
.
1
5
9
5
.
8
1
6
6
.
7
8
1
5
.
5
4
1
.
7
3
0
.
4
1
1
.
2
2
4
.
1
1
4
.
9
1
0
.
3
4
0
.
1
0
0
.
1
2
0
.
2
3
9
5
.
4
9
R
2
3
-
1
3
7
3
.
3
0
1
2
.
3
1
0
.
6
7
0
.
0
7
0
.
4
7
2
.
9
5
4
.
8
8
0
.
1
0
0
.
0
5
0
.
0
8
0
.
0
0
9
4
.
8
8
6
8
.
1
3
1
3
.
7
0
0
.
7
4
0
.
0
5
0
.
4
9
3
.
3
1
5
.
7
7
0
.
2
1
0
.
0
2
0
.
0
4
0
.
0
5
9
2
.
5
1
6
6
.
9
0
1
5
.
7
0
0
.
8
8
0
.
1
3
1
.
1
8
4
.
3
0
4
.
8
2
0
.
1
4
0
.
0
9
0
.
0
4
0
.
0
0
9
4
.
1
8
6
8
.
0
4
1
4
.
0
5
0
.
9
8
0
.
0
9
0
.
5
2
3
.
6
8
5
.
2
6
0
.
1
9
0
.
0
4
0
.
0
7
0
.
0
0
9
2
.
9
2
6
9
.
3
8
1
2
.
8
4
0
.
4
3
0
.
0
5
0
.
4
5
3
.
0
7
5
.
6
2
0
.
1
7
0
.
0
3
0
.
0
7
0
.
0
0
9
2
.
1
1
7
2
.
8
8
1
2
.
2
4
0
.
5
2
0
.
0
5
0
.
3
4
2
.
9
7
5
.
2
4
0
.
1
7
0
.
0
2
0
.
0
0
0
.
0
0
9
4
.
4
3
7
1
.
6
1
1
2
.
1
9
0
.
6
0
0
.
0
5
0
.
3
2
2
.
9
6
5
.
2
6
0
.
1
8
0
.
4
1
0
.
1
0
0
.
0
6
9
3
.
7
4
6
8
.
1
2
1
4
.
8
7
1
.
4
1
0
.
3
2
0
.
8
2
3
.
7
7
5
.
6
0
0
.
3
2
0
.
0
8
0
.
0
7
0
.
0
9
9
5
.
4
7
6
8
.
2
1
1
4
.
0
2
1
.
0
8
0
.
1
1
0
.
7
4
3
.
4
8
5
.
4
9
0
.
2
7
0
.
0
0
0
.
0
6
0
.
0
7
9
3
.
5
3
6
6
.
5
3
1
3
.
3
7
0
.
5
5
0
.
0
8
0
.
3
8
3
.
3
1
5
.
3
4
0
.
2
6
0
.
0
4
0
.
0
8
0
.
0
4
8
9
.
9
8
6
8
.
1
9
1
4
.
5
9
1
.
1
5
0
.
1
0
0
.
6
0
3
.
7
9
5
.
3
1
0
.
2
8
0
.
0
2
0
.
0
4
0
.
0
9
9
4
.
1
6
6
9
.
3
5
1
3
.
4
8
0
.
5
6
0
.
0
6
0
.
4
6
3
.
3
0
5
.
5
1
0
.
2
7
0
.
0
2
0
.
1
6
0
.
1
0
9
3
.
2
7
8
2
3
-
2
4
6
5
.
4
8
1
5
.
0
6
1
.
4
3
0
.
6
5
1
.
5
6
3
.
8
5
4
.
6
0
0
.
4
5
0
.
1
9
0
.
0
5
0
.
2
1
9
3
.
5
3
6
8
.
8
2
1
6
.
0
6
0
.
7
8
0
.
2
7
1
.
4
4
4
.
2
3
4
.
7
2
0
.
3
5
0
.
0
8
0
.
0
0
0
.
1
4
9
6
.
8
9
6
4
.
8
0
1
5
.
2
5
0
.
7
8
0
.
2
3
1
.
2
8
4
.
2
6
4
.
4
5
0
.
3
7
0
.
0
4
0
.
0
0
0
.
1
7
9
1
.
6
3
6
7
.
9
8
1
5
.
8
2
1
.
2
8
0
.
3
4
1
.
5
3
4
.
2
9
4
.
8
0
0
.
3
6
0
.
1
3
0
.
0
7
0
.
1
5
9
6
.
7
5
6
6
.
6
2
1
6
.
3
2
0
.
9
6
0
.
3
3
1
.
5
2
4
.
1
8
4
.
6
9
0
.
4
2
0
.
0
4
0
.
1
2
0
.
2
6
9
5
.
4
6
6
8
.
0
6
1
5
.
8
8
0
.
4
9
0
.
1
7
1
.
3
2
4
.
0
8
4
.
7
4
0
.
3
7
0
.
0
6
0
.
0
0
0
.
1
7
9
5
.
3
4
6
8
.
2
0
1
6
.
5
3
0
.
8
8
0
.
2
9
1
.
5
9
4
.
2
9
4
.
3
8
0
.
4
4
0
.
0
3
0
.
0
5
0
.
2
4
9
6
.
9
2
6
5
.
7
0
1
5
.
4
1
1
.
1
0
0
.
3
1
1
.
3
6
4
.
2
8
4
.
6
4
0
.
4
1
0
.
0
9
0
.
0
2
0
.
1
7
9
3
.
4
9
2
5
5
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
G
L
A
S
S
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
3
"
?
1
.
I
d
3
1
0
2
1
1
2
0
3
'
0
0
I
4
9
0
C
a
O
"
3
2
0
K
2
0
2
1
0
2
M
n
O
P
2
0
5
3
&
0
E
O
E
“
 
R
2
3
-
2
6
6
9
.
6
3
1
5
.
3
7
1
.
2
0
0
.
2
1
0
.
7
2
3
.
8
4
6
.
0
2
0
.
3
3
0
.
0
4
0
.
0
5
0
.
0
7
9
7
.
4
7
6
7
.
4
6
1
5
.
7
7
1
.
2
4
0
.
2
2
1
.
3
9
4
.
2
3
5
.
3
8
0
.
2
3
0
.
0
0
0
.
0
6
0
.
1
6
9
6
.
1
3
6
7
.
6
2
1
5
.
1
5
1
.
2
7
0
.
1
7
0
.
6
4
3
.
5
4
6
.
0
6
0
.
2
9
0
.
0
2
0
.
0
9
0
.
0
6
9
4
.
9
1
6
8
.
9
6
1
5
.
1
5
1
.
1
9
0
.
2
4
0
.
8
5
3
.
8
9
6
.
1
4
0
.
3
2
0
.
0
3
0
.
1
2
0
.
1
1
9
6
.
9
8
6
4
.
9
0
1
4
.
4
3
1
.
1
3
0
.
3
1
0
.
9
4
3
.
2
9
5
.
6
1
0
.
2
6
0
.
0
3
0
.
0
3
0
.
0
8
9
1
.
0
0
6
8
.
2
3
1
4
.
9
0
1
.
2
5
0
.
1
5
0
.
8
7
4
.
0
8
6
.
0
0
0
.
2
8
0
.
0
3
0
.
0
9
0
.
1
5
9
6
.
0
3
6
8
.
9
0
1
5
.
2
6
1
.
1
9
0
.
2
0
0
.
8
1
4
.
0
8
6
.
0
9
0
.
2
7
0
.
0
9
0
.
0
8
0
.
0
8
9
7
.
0
7
6
8
.
0
8
1
5
.
5
7
1
.
2
4
0
.
2
0
0
.
8
3
4
.
0
3
5
.
9
5
0
.
2
2
0
.
0
0
0
.
1
0
0
.
1
0
9
6
.
3
1
6
8
.
8
0
1
5
.
2
4
1
.
2
1
0
.
1
9
0
.
8
5
4
.
0
2
6
.
1
3
0
.
2
5
0
.
0
3
0
.
0
7
0
.
1
0
9
6
.
8
9
6
7
.
1
0
1
5
.
1
4
1
.
1
4
0
.
1
6
0
.
8
1
3
.
7
2
6
.
1
3
0
.
2
6
0
.
0
4
0
.
0
6
0
.
1
4
9
4
.
7
1
6
7
.
5
8
1
5
.
0
8
0
.
6
9
0
.
1
5
0
.
6
8
3
.
8
4
6
.
3
4
0
.
2
5
0
.
0
1
0
.
0
0
0
.
1
2
9
4
.
7
5
6
8
.
5
2
1
5
.
1
0
1
.
2
9
0
.
1
8
0
.
8
8
3
.
6
6
6
.
0
6
0
.
2
1
0
.
0
1
0
.
0
5
0
.
0
5
9
6
.
0
0
3
2
3
-
2
7
6
7
.
4
0
1
5
.
6
5
0
.
8
3
0
.
0
0
1
.
7
8
3
.
7
8
4
.
9
6
0
.
3
7
0
.
0
2
0
.
1
3
0
.
1
9
9
5
.
1
1
6
6
.
9
3
1
5
.
4
4
0
.
9
7
0
.
0
0
1
.
5
1
4
.
1
6
4
.
8
4
0
.
4
1
0
.
0
3
0
.
0
0
0
.
2
1
9
4
.
4
9
6
6
.
1
4
1
6
.
0
0
1
.
5
8
0
.
0
0
1
.
5
5
4
.
4
1
4
.
6
1
0
.
4
2
0
.
0
5
0
.
0
8
0
.
1
1
9
4
.
9
7
6
9
.
1
6
1
6
.
3
4
0
.
6
6
0
.
0
0
1
.
3
1
4
.
5
8
5
.
1
5
0
.
3
6
0
.
0
6
0
.
1
2
0
.
1
4
9
7
.
9
0
6
4
.
5
2
1
5
.
1
1
0
.
6
1
0
.
0
0
1
.
4
8
3
.
7
1
4
.
8
9
0
.
3
8
0
.
0
2
0
.
0
0
0
.
0
7
9
0
.
7
9
6
7
.
7
2
1
5
.
7
9
1
.
0
7
0
.
0
0
0
.
9
1
4
.
2
9
5
.
3
2
0
.
4
0
0
.
0
0
0
.
0
7
0
.
1
1
9
5
.
6
8
6
7
.
1
1
1
5
.
7
4
0
.
8
7
0
.
0
0
1
.
2
3
3
.
9
2
5
.
2
7
0
.
4
2
0
.
0
4
0
.
0
4
0
.
0
6
9
4
.
6
9
6
5
.
6
0
1
5
.
4
1
0
.
4
5
0
.
0
0
1
.
2
8
3
.
7
1
5
.
4
6
0
.
4
0
0
.
0
4
0
.
0
8
0
.
1
3
9
2
.
5
6
6
4
.
2
6
1
5
.
0
9
0
.
5
3
0
.
0
0
1
.
3
3
3
.
4
3
5
.
1
6
0
.
3
4
0
.
0
4
0
.
1
1
0
.
0
9
9
0
.
3
8
6
9
.
2
7
1
6
.
6
3
0
.
4
9
0
.
0
0
1
.
1
3
4
.
0
4
5
.
6
5
0
.
3
8
0
.
0
3
0
.
1
0
0
.
1
6
9
7
.
8
9
6
7
.
5
5
1
5
.
8
0
1
.
2
0
0
.
0
0
1
.
5
9
4
.
1
5
5
.
2
3
0
.
3
6
0
.
0
2
0
.
1
0
0
.
1
7
9
6
.
1
7
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
5
6
5
 
G
L
A
S
S
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
 
S
a
m
p
l
e
I
d
3
1
0
2
1
1
2
0
3
F
e
O
M
g
O
C
a
O
N
a
2
0
K
2
0
2
1
0
2
u
s
e
2
2
0
5
3
.
0
T
o
t
a
l
a
4
-
7
o
7
6
.
7
3
1
3
.
6
4
0
.
8
9
0
.
0
8
0
.
3
4
2
.
0
9
3
.
8
2
0
.
1
4
0
.
0
0
0
.
0
0
0
.
0
0
9
7
.
9
8
7
5
.
2
2
1
3
.
3
6
0
.
6
2
0
.
0
6
0
.
2
6
2
.
5
0
3
.
9
8
0
.
1
8
0
.
0
4
0
.
0
0
0
.
0
0
9
6
.
5
1
7
5
.
8
3
1
3
.
4
0
0
.
7
4
0
.
0
7
0
.
3
1
2
.
5
4
4
.
0
4
0
.
2
6
0
.
0
0
0
.
0
0
0
.
0
0
9
7
.
5
3
7
5
.
9
8
1
3
.
4
3
0
.
5
0
0
.
0
4
0
.
2
1
2
.
5
1
4
.
1
9
0
.
1
0
0
.
0
0
0
.
0
1
0
.
0
0
9
7
.
3
1
7
5
.
3
8
1
3
.
3
2
0
.
4
9
0
.
0
3
0
.
2
4
2
.
0
8
4
.
4
3
0
.
1
8
0
.
1
2
0
.
0
1
0
.
0
0
9
6
.
5
3
3
5
-
3
7
2
9
7
1
2
.
3
2
0
.
7
2
0
.
1
0
0
.
3
9
3
.
8
5
5
.
3
4
0
.
1
9
0
.
1
3
0
.
0
4
0
.
1
3
9
6
.
1
8
7
3
.
5
8
1
1
.
9
9
0
.
6
8
0
.
1
6
0
.
4
3
3
.
0
4
5
.
3
6
0
.
0
6
0
.
1
5
0
.
0
0
0
.
0
0
9
5
.
4
4
7
1
.
7
7
1
1
.
8
1
0
.
6
5
0
.
0
3
0
.
3
1
2
.
8
9
5
.
0
9
0
.
0
9
0
.
1
3
0
.
0
4
0
.
0
0
9
2
.
8
2
7
1
.
0
8
1
2
.
1
8
0
.
6
2
0
.
0
5
0
.
3
7
3
.
1
4
5
.
2
3
0
.
1
0
0
.
0
3
0
.
0
0
0
.
0
4
9
2
.
8
3
6
9
.
4
7
1
1
.
4
1
0
.
5
0
0
.
0
4
0
.
3
3
2
.
8
4
5
.
2
4
0
.
1
1
0
.
0
6
0
.
0
3
0
.
0
2
9
0
.
0
4
a
s
-
e
7
3
.
5
7
1
3
.
3
4
0
.
6
8
0
.
0
1
0
.
3
7
2
.
5
2
5
.
9
3
0
.
1
8
0
.
0
6
0
.
0
0
0
.
0
0
9
6
.
9
5
7
2
.
8
9
1
3
.
1
9
0
.
5
3
0
.
0
1
0
.
3
2
3
.
2
4
5
.
6
6
0
.
2
6
0
.
0
0
0
.
0
1
0
.
0
0
9
6
.
3
6
7
2
.
5
1
1
3
.
3
4
0
.
6
5
0
.
0
1
0
.
3
3
3
.
4
8
5
.
5
1
0
.
2
2
0
.
0
0
0
.
0
0
0
.
0
0
9
6
.
3
1
7
3
.
3
4
1
3
.
3
5
0
.
5
7
0
.
0
1
0
.
3
4
3
.
4
5
5
.
7
1
0
.
2
8
0
.
0
5
0
.
0
1
0
.
0
0
9
7
.
2
0
7
1
.
9
0
1
3
.
4
5
0
.
3
4
0
.
0
3
0
.
3
5
2
.
8
2
5
.
7
0
0
.
2
2
0
.
0
0
0
.
0
1
0
.
0
0
9
4
.
9
3
1
5
-
2
9
7
5
.
6
2
1
1
.
6
8
0
.
5
8
0
.
0
4
0
.
3
2
3
.
0
0
4
.
9
1
0
.
0
0
0
.
0
6
0
.
0
1
0
.
0
0
9
6
.
7
0
7
5
.
0
5
1
1
.
9
4
0
.
4
7
0
.
0
5
0
.
3
7
3
.
1
5
4
.
8
7
0
.
0
0
0
.
0
7
0
.
0
0
0
.
0
0
9
6
.
2
9
7
5
.
0
3
1
1
.
8
4
0
.
8
0
0
.
0
6
0
.
3
7
3
.
2
0
5
.
0
4
0
.
0
0
0
.
1
1
0
.
0
5
0
.
0
0
9
6
.
6
2
7
5
.
3
4
1
2
.
0
2
0
.
3
4
0
.
0
1
0
.
3
3
3
.
1
7
5
.
1
0
0
.
0
1
0
.
0
7
0
.
0
0
0
.
0
0
9
6
.
5
4
7
1
.
8
5
1
1
.
1
9
0
.
3
4
0
.
0
2
0
.
2
6
2
.
7
0
5
.
0
5
0
.
0
8
0
.
0
8
0
.
0
2
0
.
0
0
9
1
.
8
2
a
s
-
a
o
6
8
.
0
3
1
6
.
0
5
0
.
9
8
0
.
2
2
0
.
0
4
4
.
6
3
0
.
1
6
0
.
1
0
0
.
0
7
0
.
0
3
0
.
0
0
9
0
.
7
7
6
7
.
4
7
1
5
.
6
6
1
.
9
5
0
.
1
7
0
.
8
2
4
.
5
4
6
.
0
7
0
.
5
1
0
.
0
2
0
.
0
8
0
.
0
0
9
7
.
6
9
6
7
.
1
0
1
5
.
7
8
1
.
8
2
0
.
2
0
0
.
8
8
4
.
6
7
5
.
7
8
0
.
2
5
0
.
1
6
0
.
0
5
0
.
0
0
9
7
.
0
8
6
6
.
6
8
1
5
.
7
9
2
.
0
5
0
.
2
2
0
.
7
3
4
.
6
1
5
.
9
6
0
.
2
9
0
.
0
5
0
.
1
0
0
.
0
0
9
6
.
8
1
6
7
.
1
6
1
5
.
8
6
1
.
8
3
0
.
2
7
0
.
8
9
4
.
5
9
5
.
8
4
0
.
4
4
0
.
0
4
0
.
0
6
0
.
0
0
9
7
.
5
7
6
7
.
8
5
1
5
.
8
2
1
.
7
6
0
.
1
9
0
.
8
7
4
.
6
1
5
.
7
0
0
.
3
2
0
.
1
3
0
.
0
6
0
.
0
0
9
7
.
6
3
a
5
-
3
1
6
2
.
4
6
2
0
.
9
9
0
.
9
2
0
.
0
0
2
.
4
3
6
.
4
6
4
.
8
6
0
.
0
0
0
.
0
0
0
.
0
7
0
.
0
0
9
8
.
2
0
6
4
.
3
0
1
9
.
6
5
0
.
8
3
0
.
0
2
2
.
0
9
6
.
8
8
3
.
5
6
0
.
2
0
0
.
0
0
0
.
0
6
0
.
0
0
9
7
.
6
4
6
5
.
7
0
1
9
.
8
9
0
.
9
6
0
.
0
3
2
.
7
0
6
.
9
9
3
.
3
6
0
.
0
1
0
.
0
0
0
.
0
8
0
.
0
0
9
9
.
9
6
6
3
.
5
7
2
2
.
2
3
0
.
4
2
0
.
0
0
0
.
2
4
7
.
9
0
0
.
0
7
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
0
9
4
.
6
6
6
4
.
5
6
2
0
.
1
7
0
.
6
7
0
.
0
1
1
.
7
2
5
.
8
0
6
.
5
0
0
.
0
0
0
.
0
0
0
.
0
6
0
.
0
0
9
9
.
6
4
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
5
7
'
 
G
L
A
S
S
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
m
e
m
b
e
r
 
 
S
a
m
p
l
e
I
d
8
1
0
2
1
1
2
0
3
t
o
o
“
9
0
e
g
o
N
a
2
0
:
2
0
2
1
0
2
u
n
o
9
2
0
5
3
.
0
T
o
t
a
l
1
5
-
3
5
7
2
.
8
4
1
2
.
9
0
0
.
6
4
0
.
0
3
0
.
3
8
3
.
1
8
5
.
8
0
0
.
1
6
0
.
0
3
0
.
0
0
0
.
0
2
9
5
.
9
8
7
1
.
6
2
1
2
.
4
9
0
.
3
7
0
.
0
0
0
.
3
3
3
.
1
4
5
.
9
2
0
.
2
1
0
.
0
0
0
.
0
4
0
.
0
0
9
4
.
1
2
7
1
.
4
7
1
2
.
9
3
0
.
7
7
0
.
0
3
0
.
3
5
3
.
4
8
5
.
8
3
0
.
1
6
0
.
0
0
0
.
0
0
0
.
0
0
9
5
.
0
2
7
2
.
5
8
1
3
.
0
3
0
.
5
9
0
.
0
0
0
.
3
6
3
.
5
3
5
.
8
0
0
.
1
7
0
.
0
5
0
.
0
0
0
.
0
0
9
6
.
1
1
1
5
-
3
7
7
1
.
7
7
1
1
.
8
1
0
.
6
5
0
.
0
3
0
.
3
1
2
.
8
9
5
.
0
9
0
.
0
9
0
.
1
3
0
.
0
4
0
.
0
0
9
2
.
8
1
7
1
.
0
8
1
2
.
1
8
0
.
6
2
0
.
0
5
0
.
3
7
3
.
1
4
5
.
2
3
0
.
1
0
0
.
0
3
0
.
0
0
0
.
0
4
9
2
.
8
4
6
9
.
4
7
1
1
.
4
1
0
.
5
0
0
.
0
4
0
.
3
3
2
.
8
4
5
.
2
4
0
.
1
1
0
.
0
6
0
.
0
3
0
.
0
2
9
0
.
0
5
A
5
-
5
6
7
5
.
4
9
1
1
.
8
8
0
.
6
4
0
.
0
4
0
.
2
4
2
.
7
5
5
.
2
9
0
.
0
9
0
.
0
4
0
.
0
3
0
.
0
0
9
6
.
7
6
7
5
.
3
3
1
2
.
0
3
0
.
3
3
0
.
0
2
0
.
1
3
2
.
4
8
5
.
2
7
0
.
2
0
0
.
0
8
0
.
0
0
0
.
0
0
9
6
.
0
7
7
3
.
7
4
1
1
.
8
3
0
.
4
1
0
.
0
3
0
.
2
0
2
.
8
2
5
.
3
1
0
.
0
9
0
.
0
7
0
.
0
0
0
.
0
0
9
4
.
7
1
7
6
.
0
7
1
1
.
9
6
0
.
6
6
0
.
0
5
0
.
1
9
2
.
9
5
5
.
2
9
0
.
0
2
0
.
0
1
0
.
0
1
0
.
0
0
9
7
.
2
0
A
S
-
S
B
6
5
.
1
9
1
9
.
9
8
0
.
2
0
0
.
0
0
0
.
7
0
8
.
3
5
4
.
5
0
0
.
0
5
0
.
0
0
0
.
0
6
0
.
0
5
9
9
.
0
8
6
3
.
5
1
2
1
.
3
6
0
.
2
2
0
.
0
0
1
.
9
9
7
.
8
9
4
.
1
6
0
.
0
7
0
.
0
0
0
.
0
6
0
.
0
5
9
9
.
3
1
6
3
.
0
8
2
1
.
1
6
0
.
6
5
0
.
0
2
2
.
6
8
8
.
3
3
2
.
1
2
0
.
1
9
0
.
0
5
0
.
2
2
0
.
6
3
9
9
.
1
3
6
8
.
8
4
1
4
.
1
5
0
.
0
0
0
.
0
9
0
.
5
3
3
.
5
1
6
.
6
0
0
.
2
5
0
.
6
7
0
.
1
2
0
.
0
3
9
4
.
7
9
1
5
-
6
3
6
2
.
8
0
1
6
.
9
5
2
.
1
7
0
.
6
6
1
.
6
3
4
.
4
9
5
.
7
1
0
.
5
4
0
.
0
9
0
.
1
3
0
.
3
8
9
5
.
5
5
6
2
.
5
6
1
6
.
6
8
2
.
2
6
0
.
5
9
1
.
5
6
4
.
6
9
5
.
8
1
0
.
5
5
0
.
0
7
0
.
1
1
0
.
3
6
9
5
.
2
4
6
4
.
0
7
1
6
.
5
4
3
.
3
2
0
.
6
4
1
.
6
5
4
.
9
0
5
.
7
0
0
.
5
1
0
.
0
9
0
.
0
8
0
.
4
0
9
7
.
9
0
6
3
.
0
3
1
6
.
6
7
2
.
2
7
0
.
5
7
1
.
4
2
4
.
7
3
5
.
6
9
0
.
5
2
0
.
1
1
0
.
0
0
0
.
4
2
9
5
.
4
3
6
3
.
0
7
1
6
.
6
9
2
.
2
9
0
.
5
9
1
.
4
8
4
.
6
9
5
.
9
5
0
.
5
6
0
.
1
0
0
.
1
2
0
.
3
6
9
5
.
9
0
1
5
-
6
8
7
5
.
0
4
1
2
.
1
0
0
.
5
2
0
.
0
3
0
.
3
6
2
.
9
0
5
.
5
1
0
.
0
2
0
.
0
7
0
.
0
3
0
.
0
0
9
6
.
8
6
7
5
.
4
1
1
2
.
0
3
0
.
3
7
0
.
0
2
0
.
3
0
2
.
9
2
5
.
5
0
0
.
0
0
0
.
0
6
0
.
0
5
0
.
0
0
9
6
.
8
2
7
4
.
7
6
1
1
.
9
7
0
.
6
1
0
.
0
3
0
.
3
4
2
.
8
5
5
.
0
4
0
.
1
8
0
.
0
9
0
.
0
1
0
.
0
0
9
6
.
0
3
7
5
.
7
1
1
2
.
2
0
0
.
6
7
0
.
0
4
0
.
3
2
3
.
1
0
5
.
1
0
0
.
0
9
0
.
2
0
0
.
0
4
0
.
0
0
9
8
.
0
0
7
6
.
3
1
1
2
.
2
4
0
.
4
7
0
.
0
2
0
.
3
0
2
.
9
6
5
.
5
0
0
.
0
7
0
.
1
2
0
.
0
0
0
.
0
0
9
8
.
1
4
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
5
5
3
 
G
L
A
S
S
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
a
m
b
a
:
 
 
s
a
n
p
1
.
I
d
3
1
0
2
1
1
2
0
3
3
.
0
u
g
o
e
g
o
N
a
z
o
K
2
0
2
1
0
2
M
a
c
9
2
0
5
3
.
0
T
o
t
a
l
1
5
-
6
9
6
1
.
3
5
1
7
.
2
7
2
.
6
7
0
.
7
9
1
.
8
9
4
.
4
2
5
.
5
7
0
.
6
0
0
.
1
2
0
.
2
3
0
.
3
1
9
5
.
2
2
6
1
.
3
6
1
6
.
7
7
2
.
6
5
0
.
8
0
1
.
9
4
4
.
6
7
5
.
7
0
0
.
5
8
0
.
0
8
0
.
2
0
0
.
3
7
9
5
.
1
2
6
2
.
2
0
1
6
.
6
9
2
.
0
4
0
.
5
8
1
.
5
6
4
.
5
5
5
.
6
4
0
.
5
4
0
.
0
9
0
.
2
8
0
.
3
6
9
4
.
5
3
6
2
.
6
9
1
6
.
5
6
2
.
1
5
0
.
6
1
1
.
5
8
4
.
5
6
5
.
8
5
0
.
5
4
0
.
1
1
0
.
1
3
0
.
2
5
9
5
.
0
3
6
2
.
9
1
1
6
.
6
0
2
.
1
6
0
.
5
9
1
.
6
3
6
.
2
7
5
.
8
3
0
.
5
4
0
.
0
8
0
.
1
6
0
.
3
2
9
7
.
0
9
1
5
-
7
1
5
8
.
4
3
2
1
.
2
8
1
.
1
7
0
.
2
1
0
.
7
5
2
.
8
6
6
.
0
3
0
.
2
9
0
.
1
1
0
.
0
6
0
.
0
4
9
1
.
2
3
6
5
.
7
1
1
5
.
4
8
1
.
2
9
0
.
2
4
0
.
8
7
3
.
2
9
6
.
7
7
0
.
3
6
0
.
1
2
0
.
0
0
0
.
0
0
9
4
.
1
3
6
6
.
5
6
1
5
.
1
7
1
.
2
8
0
.
2
0
0
.
7
5
3
.
6
4
6
.
9
4
0
.
3
4
0
.
1
4
0
.
0
4
0
.
0
0
9
5
.
0
6
6
5
.
8
8
1
5
.
4
7
1
.
3
0
0
.
1
7
0
.
7
1
3
.
7
9
6
.
5
3
0
.
3
0
0
.
1
7
0
.
0
0
0
.
0
4
9
4
.
3
6
6
7
.
0
4
1
5
.
1
1
1
.
3
0
0
.
1
8
0
.
7
1
3
.
6
3
6
.
4
4
0
.
3
3
0
.
0
9
0
.
0
0
0
.
0
1
9
4
.
8
4
6
4
.
3
3
1
5
.
0
6
1
.
2
9
0
.
1
9
0
.
8
2
3
.
4
0
6
.
6
7
0
.
3
6
0
.
0
9
0
.
0
4
0
.
0
6
9
2
.
3
1
6
5
.
5
7
1
5
.
2
9
2
.
1
8
0
.
2
9
0
.
8
1
3
.
6
3
6
.
6
4
0
.
3
8
0
.
0
7
0
.
0
0
0
.
0
0
9
4
.
8
6
1
5
-
7
2
6
1
.
0
9
1
6
.
4
9
2
.
1
5
0
.
4
8
1
.
2
6
3
.
6
6
6
.
5
5
0
.
5
3
0
.
1
0
0
.
2
4
0
.
2
6
9
2
.
8
1
6
4
.
1
0
1
5
.
8
9
1
.
4
1
0
.
2
5
0
.
8
4
4
.
6
2
6
.
3
5
0
.
4
0
0
.
0
5
0
.
0
9
0
.
1
8
9
4
.
1
8
6
1
.
1
6
1
6
.
4
5
2
.
1
3
0
.
5
3
1
.
2
8
3
.
6
5
6
.
1
9
0
.
5
7
0
.
1
3
0
.
1
3
0
.
3
1
9
2
.
5
3
6
4
.
1
1
1
6
.
3
5
1
.
8
8
0
.
4
6
1
.
2
0
4
.
3
5
6
.
2
0
0
.
5
5
0
.
0
5
0
.
1
5
0
.
3
1
9
5
.
6
1
1
5
-
7
5
6
1
.
4
9
1
6
.
7
5
2
.
5
7
0
.
7
7
1
.
8
7
4
.
7
0
5
.
2
5
0
.
6
3
0
.
1
2
0
.
1
1
0
.
2
9
9
4
.
5
5
6
1
.
1
3
1
6
.
9
7
2
.
3
7
0
.
7
3
1
.
7
8
4
.
5
1
4
.
9
4
0
.
5
9
0
.
1
0
0
.
1
6
0
.
3
2
9
3
.
6
0
6
1
.
0
7
1
6
.
8
9
3
.
0
2
0
.
8
2
1
.
9
4
4
.
8
2
5
.
3
3
0
.
6
0
0
.
5
1
0
.
1
0
0
.
3
1
9
5
.
4
1
6
1
.
4
2
1
6
.
8
5
2
.
0
0
0
.
6
1
1
.
7
0
4
.
6
0
5
.
4
9
0
.
5
4
0
.
0
9
0
.
1
7
0
.
3
7
9
3
.
8
4
6
1
.
6
3
1
6
.
5
7
2
.
6
8
0
.
9
3
2
.
1
5
4
.
7
8
5
.
4
0
0
.
5
5
0
.
0
9
0
.
0
6
0
.
2
9
9
5
.
1
3
6
1
.
1
6
1
7
.
1
4
2
.
3
9
0
.
7
7
1
.
8
8
4
.
5
4
5
.
4
4
0
.
6
0
0
.
0
9
0
.
1
6
0
.
2
9
9
4
.
4
6
A
5
-
7
9
7
3
.
6
2
1
1
.
9
3
0
.
3
3
0
.
0
1
0
.
2
6
2
.
6
0
5
.
3
5
0
.
0
5
0
.
0
0
0
.
0
0
0
.
0
0
9
4
.
2
7
6
5
.
7
8
1
9
.
1
3
0
.
2
2
0
.
0
6
0
.
4
1
7
.
7
7
5
.
2
6
0
.
0
7
0
.
0
0
0
.
0
0
0
.
0
0
9
8
.
7
1
7
3
.
5
5
1
1
.
9
5
0
.
6
2
0
.
0
2
0
.
2
8
2
.
9
1
5
.
2
4
0
.
4
5
0
.
0
0
0
.
0
0
0
.
0
0
9
5
.
0
6
7
3
.
8
4
1
1
.
7
9
0
.
6
0
0
.
0
4
0
.
3
0
2
.
9
6
5
.
1
9
0
.
0
8
0
.
0
0
0
.
0
0
0
.
0
0
9
5
.
1
1
7
3
.
6
1
1
1
.
7
5
0
.
5
6
0
.
0
3
0
.
3
4
2
.
8
0
5
.
0
6
0
.
1
8
0
.
0
0
0
.
0
1
0
.
0
0
9
4
.
5
0
n

m

n

m

n

m

J

‘

I

M

O

M

O

M

O

A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
5
9
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
b
s
a
M
a
m
b
a
:
 
S
a
m
p
l
e
G
r
a
i
n
T
Y
P
O
P
o
o
.
8
1
0
2
1
1
2
0
3
F
O
O
“
$
3
C
a
O
N
a
2
0
3
2
0
2
1
0
2
“
D
O
P
2
0
5
3
1
0
T
o
t
a
l
 
R
8
-
2
5
W
h
o
l
e
G
r
a
i
n
T
h
i
n
S
e
c
t
i
o
n
G
r
a
i
n
M
o
u
n
t
1
1
1
2
1
3
1
4
1
5
1
6
1
7
1
8
1
9
2
0
2
E
m
m
n
m
n
8
*
6
3
.
6
5
6
5
.
3
1
6
4
.
4
0
6
5
.
3
9
6
4
.
9
4
6
5
.
2
0
6
4
.
2
8
6
0
.
8
1
5
6
.
9
9
5
9
.
1
4
6
3
.
1
9
6
3
.
1
5
6
3
.
7
7
5
7
.
7
1
6
0
.
2
6
6
0
.
5
2
5
7
.
9
9
5
5
.
4
6
5
9
.
7
2
6
0
.
8
0
6
0
.
9
9
5
7
.
1
7
5
8
.
8
6
6
1
.
2
6
6
0
.
3
6
6
0
.
6
0
6
0
.
9
3
5
9
.
7
6
6
1
.
0
8
5
9
.
5
3
5
8
.
3
5
5
8
.
8
4
2
0
.
2
7
1
9
.
1
9
1
9
.
4
3
1
9
.
2
3
1
9
.
3
2
1
9
.
9
0
1
9
.
1
1
2
3
.
8
8
2
6
.
9
4
2
5
.
9
1
2
0
.
3
3
2
0
.
6
8
2
0
.
2
5
2
6
.
3
4
2
2
.
8
6
2
4
.
1
1
2
5
.
5
0
2
7
.
3
6
2
5
.
3
6
2
4
.
9
2
2
4
.
2
4
2
7
.
7
4
2
5
.
0
0
2
5
.
0
0
2
4
.
4
0
2
4
.
6
0
2
4
.
6
2
2
5
.
4
2
2
4
.
1
7
2
4
.
5
0
2
4
.
5
9
2
4
.
1
2
0
.
1
5
0
.
0
9
0
.
1
0
0
.
1
1
0
.
0
6
0
.
1
6
0
.
1
5
0
.
3
1
0
.
2
3
0
.
2
6
0
.
1
5
0
.
1
6
0
.
1
8
0
.
3
1
0
.
3
6
0
.
4
1
0
.
0
9
0
.
0
1
0
.
3
3
0
.
3
0
0
.
2
3
0
.
3
1
0
.
2
8
0
.
2
7
0
.
5
9
0
.
3
0
0
.
3
1
0
.
3
1
0
.
3
1
0
.
4
0
0
.
3
3
0
.
3
8
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
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
3
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
7
0
.
0
5
0
.
1
7
0
.
0
8
0
.
0
8
0
.
0
4
0
.
0
6
0
.
0
2
0
.
1
2
0
.
0
0
0
.
6
9
0
.
3
2
0
.
3
3
0
.
2
8
0
.
3
1
0
.
4
5
0
.
4
2
5
.
1
8
8
.
2
1
6
.
5
4
0
.
6
0
0
.
6
6
0
.
5
2
7
.
5
1
4
.
9
2
5
.
2
4
6
.
8
9
9
.
1
3
5
.
7
9
5
.
3
1
4
.
8
3
8
.
0
1
6
.
1
5
5
.
6
3
5
.
5
4
5
.
6
0
5
.
5
7
6
.
4
0
4
.
9
1
5
.
6
6
6
.
1
3
5
.
8
5
5
.
4
3
4
.
1
3
4
.
1
6
4
.
6
9
4
.
2
0
5
.
1
4
4
.
4
2
7
.
7
8
6
.
5
8
7
.
5
0
4
.
4
1
4
.
0
4
4
.
3
6
6
.
6
7
7
.
6
1
8
.
0
0
7
.
0
7
6
.
0
0
7
.
4
7
7
.
5
4
7
.
7
4
6
.
5
4
7
.
6
1
8
.
0
4
7
.
8
3
7
.
8
6
7
.
9
3
7
.
5
1
7
.
7
5
7
.
7
4
8
.
2
7
8
.
2
3
8
.
2
6
1
0
.
8
1
1
0
.
9
0
1
0
.
0
8
1
0
.
9
2
9
.
3
8
1
0
.
3
2
1
.
4
4
0
.
7
4
1
.
1
0
9
.
5
4
9
.
5
1
9
.
5
7
0
.
7
7
1
.
5
0
1
.
6
4
0
.
8
6
0
.
4
9
1
.
1
1
1
.
2
8
1
.
7
1
0
.
7
0
1
.
1
1
1
.
3
2
0
.
9
8
1
.
3
6
1
.
2
0
1
.
1
5
1
.
7
0
0
.
7
4
0
.
7
5
0
.
5
1
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
3
0
.
0
0
0
.
0
5
0
.
0
0
0
.
0
2
0
.
0
1
0
.
0
6
0
.
0
5
0
.
0
0
0
.
0
2
0
.
0
0
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
5
0
.
1
0
0
.
0
8
0
.
1
1
0
.
1
0
0
.
1
0
0
.
1
1
0
.
0
5
0
.
0
5
0
.
1
0
0
.
0
5
0
.
0
0
0
.
0
0
0
.
0
1
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
4
0
.
0
2
0
.
0
4
0
.
0
3
0
.
0
0
0
.
1
0
0
.
0
2
0
.
0
0
0
.
0
5
0
.
1
8
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
7
0
.
0
7
0
.
0
6
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
4
0
.
0
2
0
.
0
5
0
.
0
6
0
.
1
2
0
.
0
0
0
.
0
7
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
2
0
.
0
0
0
.
0
6
0
.
0
0
0
.
0
7
0
.
0
0
0
.
0
3
0
.
0
0
0
.
0
3
0
.
0
3
0
.
0
6
0
.
0
0
1
.
2
3
0
.
1
4
0
.
2
3
0
.
0
7
0
.
0
7
0
.
1
8
0
.
3
3
0
.
1
9
0
.
1
6
0
.
1
9
2
.
0
5
2
.
4
5
1
.
2
9
0
.
1
8
0
.
1
6
0
.
0
8
0
.
0
0
0
.
0
0
0
.
2
7
0
.
2
0
0
.
1
8
0
.
2
1
0
.
1
0
0
.
1
6
0
.
0
3
0
.
1
5
0
.
2
2
0
.
1
7
0
.
1
3
0
.
1
8
0
.
1
9
0
.
0
0
9
9
.
7
5
1
0
0
.
0
6
9
9
.
6
3
9
9
.
9
3
9
9
.
8
5
1
0
0
.
4
1
9
9
.
1
3
9
9
.
6
3
9
9
.
8
9
1
0
0
.
7
0
1
0
0
.
3
9
1
0
0
.
8
2
9
9
.
9
4
9
9
.
5
8
9
7
.
6
7
1
0
0
.
0
7
9
8
.
4
2
9
8
.
5
0
1
0
0
.
1
1
1
0
0
.
4
0
1
0
0
.
0
4
1
0
0
.
7
5
9
9
.
3
4
1
0
1
.
8
6
1
0
0
.
2
6
1
0
0
.
6
5
1
0
0
.
9
9
1
0
0
.
8
7
1
0
0
.
1
9
9
8
.
8
7
9
8
.
8
9
9
7
.
9
8
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
6
0
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
m
e
s
a
m
e
m
b
e
r
 
S
a
m
p
l
a
G
r
a
i
n
 
T
y
p
o
I
P
o
a
.
8
1
0
2
1
1
2
0
3
P
0
0
M
g
O
C
a
O
N
a
2
0
K
2
0
T
1
0
2
l
i
n
o
P
2
0
5
B
a
O
T
o
t
a
l
R
8
-
4
4
G
r
a
i
n
1
5
7
.
3
4
2
4
.
7
2
0
.
2
7
0
.
0
3
6
.
1
4
7
.
4
0
1
.
1
7
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
4
9
7
.
2
1
M
o
u
n
t
2
6
0
.
1
0
2
5
.
2
7
0
.
3
0
0
.
0
0
5
.
7
4
7
.
6
7
1
.
2
5
0
.
0
0
0
.
0
0
0
.
0
3
0
.
1
5
1
0
0
.
5
1
3
6
4
.
1
9
2
3
.
5
8
0
.
2
0
0
.
0
0
4
.
3
6
8
.
8
2
1
.
4
3
0
.
0
0
0
.
0
0
0
.
0
9
0
.
0
0
1
0
2
.
6
7
4
6
0
.
3
6
2
4
.
4
2
0
.
2
4
0
.
0
3
5
.
4
3
7
.
9
4
1
.
4
8
0
.
0
1
0
.
0
0
0
.
0
0
0
.
0
6
9
9
.
9
7
5
6
4
.
6
7
2
0
.
2
3
0
.
1
4
0
.
0
0
0
.
5
4
4
.
6
5
9
.
8
3
0
.
0
4
0
.
0
0
0
.
0
0
0
.
8
9
1
0
0
.
9
9
6
6
2
.
2
8
2
0
.
0
6
0
.
1
9
0
.
0
0
0
.
5
9
4
.
0
1
9
.
6
9
0
.
0
4
0
.
0
0
0
.
0
5
1
.
9
3
9
8
.
8
4
7
6
0
.
8
0
2
6
.
3
0
0
.
3
0
0
.
0
2
6
.
6
7
7
.
7
1
1
.
0
4
0
.
0
0
0
.
0
0
0
.
0
9
0
.
1
6
1
0
3
.
0
9
8
6
0
.
9
5
2
4
.
7
7
0
.
2
6
0
.
0
2
5
.
3
4
7
.
9
6
1
.
3
1
0
.
0
0
0
.
0
0
0
.
0
2
0
.
1
1
1
0
0
.
7
4
9
6
3
.
9
0
1
9
.
3
9
0
.
1
6
0
.
0
2
0
.
3
7
4
.
4
6
1
0
.
3
7
0
.
0
0
0
.
0
0
0
.
0
0
0
.
2
7
9
8
.
9
4
1
0
6
3
.
6
7
1
9
.
5
5
0
.
1
5
0
.
0
0
0
.
4
5
4
.
3
5
1
0
.
4
5
0
.
0
0
0
.
0
0
0
.
0
6
0
.
3
1
9
8
.
9
9
1
1
5
9
.
2
8
2
4
.
6
2
0
.
3
3
0
.
0
0
5
.
4
8
7
.
7
6
1
.
2
7
0
.
0
0
0
.
2
5
0
.
0
0
0
.
0
6
9
9
.
0
5
1
2
6
4
.
8
2
1
9
.
1
0
0
.
1
5
0
.
0
1
0
.
3
7
4
.
4
0
1
0
.
4
1
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
9
9
9
.
4
8
1
3
5
8
.
1
1
2
6
.
7
4
0
.
3
0
0
.
0
3
7
.
4
5
7
.
6
8
0
.
5
8
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
9
1
0
0
.
9
8
1
4
6
2
.
8
4
2
0
.
1
3
0
.
2
1
0
.
0
2
0
.
6
0
4
.
2
9
9
.
5
7
0
.
0
4
0
.
5
4
0
.
0
6
1
.
5
2
9
9
.
8
2
1
5
6
0
.
1
6
2
5
.
0
6
0
.
3
1
0
.
0
0
5
.
6
9
7
.
5
6
1
.
3
2
0
.
0
2
0
.
0
0
0
.
0
6
0
.
1
1
1
0
0
.
2
9
1
6
5
9
.
3
4
2
5
.
9
2
0
.
3
1
0
.
0
0
5
.
4
7
7
.
5
7
1
.
3
8
0
.
0
1
0
.
0
0
0
.
0
0
0
.
1
3
1
0
0
.
1
3
1
7
6
1
.
8
4
2
4
.
6
3
0
.
2
9
0
.
0
3
5
.
1
0
7
.
9
3
1
.
6
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
2
1
0
1
.
5
4
1
8
6
2
.
6
0
2
0
.
4
7
0
.
2
0
0
.
0
0
0
.
5
3
4
.
1
7
9
.
5
9
0
.
0
4
0
.
0
0
0
.
0
6
1
.
7
1
9
9
.
3
7
1
9
7
2
.
8
7
1
2
.
8
0
0
.
7
8
0
.
0
7
0
.
5
0
3
.
3
0
5
.
1
4
0
.
0
5
0
.
0
5
0
.
0
7
0
.
0
2
9
5
.
6
5
2
0
6
3
.
3
8
2
0
.
4
7
0
.
1
6
0
.
0
0
0
.
5
6
4
.
0
4
9
.
5
7
0
.
0
7
0
.
0
0
0
.
0
0
1
.
9
3
1
0
0
.
1
8
2
1
6
4
.
8
1
1
9
.
6
5
0
.
1
7
0
.
0
0
0
.
3
3
4
.
0
5
1
0
.
7
1
0
.
0
0
0
.
0
0
0
.
0
5
0
.
1
0
9
9
.
8
7
W
h
o
l
e
2
2
E
6
4
.
7
2
1
9
.
4
0
0
.
0
9
0
.
0
0
0
.
2
8
3
.
9
7
1
0
.
7
9
0
.
0
3
0
.
7
5
0
.
0
0
0
.
3
9
1
0
0
.
4
2
G
r
a
i
n
2
2
C
6
4
.
8
6
1
9
.
2
4
0
.
1
3
0
.
0
0
0
.
2
8
4
.
0
3
1
0
.
6
5
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
9
9
9
.
3
2
2
3
E
5
9
.
2
8
2
4
.
1
1
0
.
3
0
0
.
0
0
5
.
2
6
7
.
8
8
1
.
4
5
0
.
0
4
0
.
0
0
0
.
0
0
0
.
2
2
9
8
.
5
4
2
3
C
5
9
.
6
8
2
4
.
8
6
0
.
2
4
0
.
0
0
5
.
6
5
7
.
8
4
1
.
1
9
0
.
0
9
0
.
0
0
0
.
0
0
0
.
2
5
9
9
.
8
0
2
4
E
6
0
.
3
7
2
3
.
7
7
0
.
2
5
0
.
0
0
4
.
9
2
7
.
8
3
1
.
4
5
0
.
0
5
0
.
0
0
0
.
0
0
0
.
0
9
9
8
.
7
3
2
4
C
5
9
.
2
3
2
4
.
4
0
0
.
3
4
0
.
0
0
5
.
5
7
7
.
5
1
1
.
2
3
0
.
0
6
0
.
0
0
0
.
0
2
0
.
2
0
9
8
.
5
6
2
5
E
5
9
.
4
1
2
4
.
2
5
0
.
2
4
0
.
0
0
5
.
5
5
7
.
4
8
1
.
3
6
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
7
9
8
.
4
8
2
5
N
E
5
7
.
1
0
2
5
.
7
2
0
.
2
7
0
.
0
0
7
.
3
2
6
.
8
7
0
.
8
3
0
.
0
4
0
.
0
0
0
.
0
5
0
.
1
0
9
8
.
3
0
2
5
C
5
9
.
6
3
2
4
.
3
9
0
.
3
1
0
.
0
0
4
.
9
9
7
.
6
2
1
.
5
1
0
.
0
7
0
.
0
0
0
.
0
5
0
.
2
1
9
8
.
7
8
2
6
E
6
2
.
0
2
2
3
.
0
9
0
.
2
2
0
.
0
0
3
.
9
8
8
.
6
0
1
.
5
4
0
.
0
3
0
.
0
0
0
.
0
3
0
.
0
5
9
9
.
5
6
2
6
C
6
1
.
7
6
2
3
.
8
0
0
.
1
5
0
.
0
0
4
.
6
8
8
.
5
1
1
.
1
8
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
6
1
0
0
.
1
6
2
7
E
5
5
.
2
6
2
8
.
9
8
0
.
0
8
0
.
0
0
9
.
6
2
5
.
9
7
0
.
4
3
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
6
1
0
0
.
4
0
2
7
C
6
2
.
4
4
2
3
.
4
1
0
.
5
1
0
.
0
0
4
.
0
0
8
.
6
0
1
.
4
6
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
9
1
0
0
.
5
4
2
8
E
6
2
.
5
4
1
9
.
9
5
0
.
1
5
0
.
0
0
0
.
5
6
4
.
3
9
9
.
6
1
0
.
0
0
0
.
0
0
0
.
0
0
1
.
1
9
9
8
.
3
9
2
8
C
6
2
.
9
2
1
9
.
6
3
0
.
2
0
0
.
0
0
0
.
5
3
3
.
9
8
9
.
9
0
0
.
0
6
0
.
0
0
0
.
0
6
1
.
1
0
9
8
.
3
8
2
9
E
6
5
.
0
7
1
9
.
6
3
0
.
1
2
0
.
0
0
0
.
3
2
4
.
5
6
9
.
8
8
0
.
0
4
0
.
0
0
0
.
0
0
0
.
2
8
9
9
.
9
0
2
9
C
6
4
.
8
5
1
9
.
4
8
0
.
0
3
0
.
0
0
0
.
3
5
4
.
2
7
1
0
.
3
8
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
7
9
9
.
4
3
3
0
E
6
3
.
4
6
1
9
.
7
7
0
.
1
8
0
.
0
0
0
.
5
1
4
.
3
0
9
.
7
9
0
.
0
2
0
.
0
0
0
.
0
0
1
.
1
2
9
9
.
1
5
3
0
C
6
5
.
0
0
1
9
.
3
2
0
.
0
8
0
.
0
0
0
.
2
8
4
.
2
0
1
0
.
5
6
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
7
9
9
.
5
3
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
6
1
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
m
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
5
P
e
a
.
3
1
0
2
1
1
2
0
3
2
.
0
u
g
o
e
g
o
H
a
z
e
:
2
0
2
1
0
2
u
n
o
2
2
0
5
3
.
0
T
o
t
a
l
R
8
-
4
4
T
h
i
n
3
1
E
6
1
.
4
2
2
5
.
3
0
0
.
3
3
0
.
0
0
5
.
7
0
7
.
7
1
1
.
2
8
0
.
0
0
0
.
0
0
0
.
0
4
0
.
2
7
1
0
2
.
0
5
S
e
c
t
i
o
n
3
1
N
E
5
8
.
2
2
2
6
.
3
4
0
.
3
3
0
.
0
0
6
.
9
3
6
.
9
7
1
.
0
2
0
.
0
0
0
.
0
1
0
.
0
0
0
.
2
0
1
0
0
.
0
2
3
1
c
5
8
.
5
0
2
6
.
7
8
0
.
4
0
0
.
0
0
7
.
0
6
6
.
9
0
0
.
9
1
0
.
0
3
0
.
0
0
0
.
0
6
0
.
1
2
1
0
0
.
7
6
3
2
E
6
4
.
9
6
2
0
.
4
9
0
.
2
4
0
.
0
0
0
.
5
2
4
.
3
5
9
.
7
9
0
.
0
5
0
.
0
3
0
.
0
0
0
.
9
1
1
0
1
.
3
4
3
2
N
E
6
4
.
5
8
2
0
.
2
0
0
.
2
4
0
.
0
0
0
.
5
9
4
.
3
2
9
.
8
7
0
.
0
0
0
.
0
3
0
.
0
0
0
.
9
5
1
0
0
.
7
8
3
2
c
6
4
.
3
9
1
9
.
9
2
0
.
2
5
0
.
0
0
0
.
4
9
4
.
2
3
9
.
8
3
0
.
0
0
0
.
0
3
0
.
0
0
1
.
0
2
1
0
0
.
1
6
3
3
E
6
0
.
4
1
2
5
.
1
5
0
.
3
4
0
.
0
0
5
.
6
0
7
.
6
0
1
.
3
8
0
.
0
2
0
.
0
1
0
.
0
0
0
.
0
9
1
0
0
.
6
0
3
3
N
E
6
0
.
9
0
2
4
.
5
1
0
.
3
0
0
.
0
0
5
.
8
5
7
.
7
0
1
.
3
1
0
.
0
4
0
.
1
6
0
.
0
0
0
.
1
0
1
0
0
.
8
7
3
3
c
6
1
.
4
5
2
4
.
2
2
0
.
3
3
0
.
0
0
5
.
3
3
7
.
9
9
1
.
5
1
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
2
1
0
0
.
9
7
3
4
E
5
9
.
8
2
2
4
.
9
3
0
.
3
9
0
.
0
0
5
.
8
0
7
.
5
4
1
.
2
5
0
.
0
0
0
.
0
3
0
.
0
5
0
.
2
9
1
0
0
.
1
0
3
4
c
6
0
.
4
4
2
4
.
8
5
0
.
3
7
0
.
0
0
5
.
6
7
7
.
7
1
1
.
3
1
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
0
1
0
0
.
4
5
3
5
E
6
5
.
2
9
1
9
.
3
4
0
.
1
4
0
.
0
0
0
.
3
4
4
.
2
7
1
0
.
3
6
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
7
9
9
.
8
1
3
5
c
6
5
.
1
9
1
9
.
7
9
0
.
1
7
0
.
0
0
0
.
4
3
4
.
4
7
9
.
9
9
0
.
0
0
0
.
0
0
0
.
0
0
0
.
2
2
1
0
0
.
2
6
3
6
N
C
6
1
.
0
7
2
3
.
8
4
0
.
3
5
0
.
0
0
4
.
8
2
7
.
6
0
1
.
8
2
0
.
0
4
0
.
0
3
0
.
0
0
0
.
1
0
9
9
.
6
7
3
6
E
6
1
.
5
1
2
5
.
0
5
0
.
3
6
0
.
0
0
5
.
4
8
7
.
9
9
1
.
4
7
0
.
0
3
0
.
0
1
0
.
0
6
0
.
0
3
1
0
1
.
9
9
3
6
c
6
1
.
3
1
2
4
.
5
3
0
.
3
6
0
.
0
0
5
.
0
4
7
.
9
2
1
.
5
0
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
3
1
0
0
.
7
2
R
8
-
4
5
G
r
a
i
n
1
5
8
.
0
3
2
5
.
8
5
0
.
3
7
0
.
0
3
6
.
4
5
7
.
6
2
1
.
0
4
0
.
0
3
0
.
0
0
0
.
0
5
0
.
1
4
9
9
.
6
1
M
o
u
n
t
2
6
0
.
2
9
2
4
.
7
0
0
.
2
7
0
.
0
2
5
.
2
9
7
.
8
9
1
.
4
5
0
.
0
4
0
.
0
0
0
.
0
0
0
.
1
9
1
0
0
.
1
4
3
+
6
1
.
7
2
2
4
.
4
2
0
.
3
1
0
.
0
2
4
.
8
7
8
.
1
4
1
.
6
1
0
.
0
4
0
.
0
0
0
.
0
2
0
.
1
0
1
0
1
.
2
5
4
6
1
.
4
0
2
4
.
2
3
0
.
2
5
0
.
0
3
4
.
9
6
8
.
0
7
1
.
6
0
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
6
1
0
0
.
6
2
5
+
5
5
.
5
4
2
8
.
4
4
0
.
2
7
0
.
0
2
9
.
3
0
6
.
1
4
0
.
6
5
0
.
0
7
0
.
0
0
0
.
0
7
0
.
0
7
1
0
0
.
5
7
6
5
9
.
7
6
2
4
.
7
8
0
.
3
8
0
.
0
2
5
.
5
4
7
.
6
9
1
.
4
2
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
8
9
9
.
8
0
7
+
5
9
.
9
6
2
6
.
3
0
0
.
7
7
0
.
0
3
6
.
2
4
7
.
7
4
1
.
1
4
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
6
1
0
2
.
3
6
8
5
9
.
7
8
2
4
.
9
6
0
.
3
2
0
.
0
1
5
.
4
3
7
.
8
3
1
.
4
2
0
.
0
5
0
.
0
0
0
.
0
0
0
.
2
3
1
0
0
.
0
3
9
a
5
9
.
5
2
2
4
.
6
9
0
.
2
3
0
.
0
3
5
.
0
1
8
.
1
2
1
.
5
3
0
.
0
6
0
.
0
0
0
.
0
2
0
.
2
1
9
9
.
4
2
1
0
E
5
9
.
4
4
2
5
.
7
6
0
.
4
4
0
.
0
5
5
.
9
9
7
.
6
9
1
.
2
9
0
.
0
4
0
.
0
0
0
.
0
0
0
.
2
6
1
0
0
.
9
6
1
0
c
5
8
.
6
9
2
5
.
6
4
0
.
4
1
0
.
0
2
5
.
7
9
7
.
4
6
1
.
3
7
0
.
0
0
0
.
0
0
0
.
0
6
0
.
3
2
9
9
.
7
6
1
1
+
5
7
.
3
0
2
6
.
1
3
0
.
3
8
0
.
0
4
7
.
1
0
7
.
0
2
0
.
9
1
0
.
0
4
0
.
0
0
0
.
0
0
0
.
2
1
9
9
.
1
3
1
2
E
5
9
.
2
9
2
3
.
7
6
0
.
3
7
0
.
0
0
5
.
1
1
7
.
8
1
1
.
5
6
0
.
0
6
0
.
0
0
0
.
0
0
0
.
2
9
9
8
.
2
5
1
3
6
2
.
3
6
1
9
.
9
9
0
.
2
4
0
.
0
2
0
.
2
9
4
.
1
9
1
0
.
4
1
0
.
0
2
0
.
0
0
0
.
0
0
0
.
8
3
9
8
.
3
5
1
4
6
1
.
0
1
2
0
.
4
2
0
.
1
7
0
.
0
0
0
.
7
4
4
.
1
5
9
.
2
7
0
.
0
6
0
.
0
0
0
.
0
2
1
.
8
0
9
7
.
6
4
1
5
6
7
.
8
3
1
5
.
2
0
1
.
2
1
0
.
1
3
0
.
6
8
3
.
8
0
5
.
7
7
0
.
2
8
0
.
0
0
0
.
0
0
0
.
0
7
9
4
.
9
7
1
6
6
1
.
1
0
1
9
.
9
8
0
.
2
2
0
.
0
1
0
.
5
3
4
.
1
4
9
.
6
3
0
.
0
7
0
.
0
0
0
.
0
0
1
.
6
4
9
7
.
3
2
1
7
6
1
.
5
7
2
0
.
0
1
0
.
2
0
0
.
0
0
0
.
4
9
4
.
0
7
9
.
7
9
0
.
0
9
0
.
0
4
0
.
0
0
1
.
9
8
9
8
.
2
4
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
6
2
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
m
e
s
a
m
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
o
#
P
e
a
.
3
1
0
2
1
1
2
0
3
3
.
0
M
a
c
C
a
O
N
a
2
0
:
2
0
1
1
0
2
u
n
o
3
2
0
5
3
.
0
T
o
t
a
l
R
8
-
4
5
W
h
o
l
e
1
8
E
6
2
.
6
9
1
9
.
5
2
0
.
1
7
0
.
0
0
0
.
5
1
3
.
9
6
9
.
7
4
0
.
0
5
0
.
0
0
0
.
0
0
1
.
5
6
9
8
.
2
0
G
r
a
i
n
1
8
c
6
2
.
9
0
1
9
.
7
3
0
.
1
4
0
.
0
0
0
.
6
9
4
.
1
9
9
.
6
3
0
.
0
3
0
.
0
0
0
.
0
0
1
.
4
7
9
8
.
7
8
1
9
E
5
7
.
3
9
2
5
.
4
9
0
.
3
0
0
.
0
0
6
.
1
8
7
.
1
4
1
.
1
0
0
.
0
6
0
.
0
0
0
.
0
0
0
.
2
4
9
7
.
9
0
1
9
N
E
5
5
.
5
2
2
7
.
3
1
0
.
3
3
0
.
0
0
8
.
1
7
6
.
5
1
0
.
7
4
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
3
9
8
.
7
3
1
9
N
C
5
7
.
0
0
2
6
.
0
9
0
.
3
0
0
.
0
3
7
.
1
0
7
.
2
5
0
.
8
5
0
.
0
6
0
.
0
0
0
.
0
0
0
.
2
3
9
8
.
9
1
1
9
c
5
7
.
9
1
2
7
.
2
0
0
.
2
7
0
.
0
0
6
.
8
1
6
.
9
9
0
.
9
2
0
.
0
0
0
.
0
0
0
.
0
4
0
.
2
5
1
0
0
.
3
9
2
0
E
6
2
.
3
5
2
0
.
0
5
0
.
1
9
0
.
0
0
0
.
6
4
4
.
3
0
9
.
5
1
0
.
0
4
0
.
0
0
0
.
0
0
1
.
6
6
9
8
.
7
4
2
0
c
6
2
.
5
7
2
0
.
1
2
0
.
1
8
0
.
0
0
0
.
6
6
4
.
3
2
9
.
5
2
0
.
0
5
0
.
0
0
0
.
0
0
1
.
6
5
9
9
.
0
7
2
1
E
6
0
.
2
2
2
4
.
4
6
0
.
2
4
0
.
0
0
5
.
1
5
7
.
7
7
1
.
4
5
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
8
9
9
.
4
7
2
1
N
E
5
4
.
8
6
2
7
.
9
2
0
.
3
1
0
.
0
0
8
.
6
5
6
.
0
0
0
.
5
4
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
1
9
8
.
4
1
2
1
c
5
8
.
4
3
2
5
.
7
8
0
.
3
4
0
.
0
0
6
.
3
2
7
.
2
1
1
.
0
7
0
.
0
5
0
.
0
0
0
.
0
0
0
.
2
0
9
9
.
4
0
2
2
E
6
3
.
0
0
1
9
.
9
3
1
.
2
8
0
.
0
0
0
.
5
9
4
.
3
4
9
.
7
6
0
.
0
5
0
.
0
0
0
.
0
0
1
.
6
2
1
0
0
.
5
7
2
2
c
6
2
.
3
8
2
0
.
2
3
0
.
1
9
0
.
0
0
0
.
6
7
4
.
3
2
9
.
3
2
0
.
0
5
0
.
0
0
0
.
0
0
1
.
9
0
9
9
.
0
6
2
3
2
+
6
0
.
4
7
2
4
.
5
5
0
.
1
8
0
.
0
0
5
.
5
0
7
.
5
1
1
.
5
1
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
8
9
9
.
9
2
2
3
0
+
5
9
.
2
2
2
4
.
9
6
0
.
2
8
0
.
0
2
5
.
8
4
7
.
3
1
1
.
2
1
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
3
9
8
.
9
7
2
4
E
6
0
.
2
9
2
4
.
5
1
0
.
2
9
0
.
0
0
5
.
2
6
7
.
7
1
1
.
4
7
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
5
9
9
.
7
0
2
4
c
6
0
.
1
5
2
4
.
2
5
0
.
2
6
0
.
0
0
5
.
3
4
8
.
0
1
1
.
4
8
0
.
0
6
0
.
0
0
0
.
0
0
0
.
1
6
9
9
.
7
1
2
5
E
6
1
.
8
2
2
0
.
4
0
0
.
1
8
0
.
0
0
0
.
6
9
5
.
8
2
9
.
3
3
0
.
0
5
0
.
0
0
0
.
0
0
2
.
2
5
1
0
0
.
5
4
T
h
i
n
2
6
B
5
9
.
3
2
2
5
.
4
7
0
.
3
9
0
.
0
0
5
.
9
4
7
.
4
8
1
.
2
3
0
.
0
4
0
.
0
0
0
.
0
4
0
.
1
5
1
0
0
.
0
6
S
e
c
t
i
o
n
2
6
N
E
5
8
.
6
4
2
4
.
7
6
0
.
2
9
0
.
0
0
6
.
3
1
7
.
5
1
1
.
2
0
0
.
0
6
0
.
0
0
0
.
0
2
0
.
1
4
9
8
.
9
3
2
6
C
6
0
.
3
6
2
5
.
3
6
0
.
3
7
0
.
0
0
5
.
5
8
7
.
7
0
1
.
3
7
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
5
1
0
0
.
9
2
2
7
E
6
4
.
2
2
2
0
.
0
0
0
.
2
5
0
.
0
0
0
.
6
0
4
.
2
2
9
.
8
0
0
.
1
2
0
.
0
0
0
.
0
0
1
.
1
9
1
0
0
.
4
0
2
7
c
6
4
.
8
3
2
0
.
5
4
0
.
2
4
0
.
0
0
0
.
6
1
4
.
5
2
9
.
6
6
0
.
1
0
0
.
8
0
0
.
0
0
1
.
3
5
1
0
2
.
6
5
2
8
E
6
1
.
0
8
2
3
.
7
2
0
.
3
4
0
.
0
0
5
.
1
7
8
.
0
2
1
.
4
5
0
.
0
5
0
.
0
2
0
.
0
4
0
.
1
7
1
0
0
.
0
6
2
8
c
5
8
.
2
3
2
5
.
1
0
0
.
3
2
0
.
0
2
7
.
0
2
7
.
2
8
0
.
8
0
0
.
0
4
0
.
0
2
0
.
0
2
0
.
0
8
9
8
.
9
3
2
9
E
6
1
.
4
9
2
4
.
8
0
0
.
3
3
0
.
0
2
5
.
3
7
8
.
1
8
1
.
5
0
0
.
0
4
0
.
0
0
0
.
0
2
0
.
1
6
1
0
1
.
9
1
2
9
C
6
0
.
9
7
2
4
.
9
8
0
.
3
6
0
.
0
1
5
.
5
9
7
.
5
1
1
.
2
8
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
9
1
0
0
.
9
2
3
0
E
6
0
.
5
8
2
4
.
8
2
0
.
3
0
0
.
0
2
5
.
2
4
7
.
8
9
1
.
3
5
0
.
0
6
0
.
0
0
0
.
0
0
0
.
1
7
1
0
0
.
4
3
3
0
c
6
1
.
1
5
2
5
.
1
3
0
.
3
4
0
.
0
3
5
.
6
8
7
.
8
7
1
.
3
5
0
.
0
6
0
.
0
3
0
.
0
5
0
.
2
5
1
0
1
.
9
4
3
1
E
6
2
.
8
2
2
0
.
0
6
0
.
2
4
0
.
0
2
0
.
7
9
4
.
1
7
9
.
2
8
0
.
1
3
0
.
0
2
0
.
0
2
2
.
1
1
9
9
.
6
6
3
1
C
6
4
.
2
3
2
0
.
2
5
0
.
2
3
0
.
0
0
0
.
5
5
4
.
2
4
1
0
.
0
3
0
.
0
5
0
.
0
0
0
.
0
4
1
.
2
9
1
0
0
.
9
1
3
2
E
6
2
.
8
9
2
3
.
7
0
0
.
2
6
0
.
0
5
4
.
1
8
7
.
9
4
2
.
1
4
0
.
0
2
0
.
0
3
0
.
0
6
0
.
1
3
1
0
1
.
4
0
3
2
c
6
0
.
4
7
2
4
.
6
8
0
.
1
6
0
.
0
0
5
.
2
6
7
.
9
3
1
.
5
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
9
1
0
0
.
0
9
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
6
3
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
t
y
p
o
l
’
P
e
a
.
3
1
0
2
A
1
2
0
3
t
o
o
u
g
o
e
g
o
v
.
2
0
x
2
0
T
1
0
2
u
n
o
3
2
0
5
a
g
o
T
o
t
a
l
R
l
l
-
S
G
r
a
i
n
1
5
8
.
5
6
2
5
.
1
0
0
.
3
1
0
.
0
3
6
.
2
9
7
.
5
3
0
.
8
4
0
.
0
3
0
.
0
0
0
.
0
8
0
.
2
0
9
8
.
9
7
M
o
u
n
t
2
E
+
5
6
.
9
6
2
6
.
5
8
0
.
3
8
0
.
0
0
8
.
0
0
6
.
7
8
0
.
6
4
0
.
0
3
0
.
0
2
0
.
1
2
0
.
1
1
9
9
.
6
2
3
+
5
6
.
7
5
2
5
.
9
3
0
.
3
0
0
.
0
3
6
.
6
8
7
.
0
1
1
.
0
6
0
.
0
5
0
.
1
0
0
.
0
7
0
.
2
2
9
8
.
2
0
4
5
+
5
2
.
0
5
2
9
.
3
3
0
.
3
7
0
.
0
3
1
0
.
7
9
4
.
8
5
0
.
3
2
0
.
0
7
0
.
0
1
0
.
0
0
0
.
1
0
9
7
.
9
2
5
E
5
6
.
5
3
2
6
.
6
6
0
.
4
0
0
.
0
2
7
.
3
7
6
.
9
0
0
.
7
2
0
.
0
3
0
.
0
3
0
.
0
5
0
.
0
9
9
8
.
8
0
6
5
7
.
0
2
2
6
.
2
6
0
.
2
8
0
.
0
1
6
.
7
7
7
.
1
1
0
.
8
0
0
.
0
0
0
.
0
2
0
.
0
0
0
.
0
7
9
8
.
3
4
7
E
+
5
5
.
8
1
2
6
.
9
6
0
.
4
3
0
.
0
2
8
.
1
6
6
.
4
6
0
.
5
7
0
.
0
3
0
.
0
4
0
.
0
9
0
.
0
8
9
8
.
6
5
8
5
6
.
3
6
2
5
.
5
0
0
.
3
9
0
.
0
4
6
.
5
3
7
.
3
7
0
.
8
3
0
.
0
3
0
.
0
3
0
.
0
0
0
.
1
9
9
7
.
2
7
9
6
2
.
2
6
2
0
.
1
8
0
.
1
7
0
.
0
0
0
.
5
2
4
.
1
3
9
.
4
1
0
.
0
4
0
.
0
2
0
.
0
0
1
.
6
6
9
8
.
3
9
1
0
6
0
.
9
6
2
0
.
7
0
0
.
2
4
0
.
0
0
0
.
6
6
4
.
1
5
8
.
7
2
0
.
0
7
0
.
0
4
0
.
1
0
2
.
7
7
9
8
.
4
1
1
1
5
4
.
5
0
2
8
.
8
2
0
.
4
5
0
.
0
3
1
0
.
4
7
5
.
3
3
0
.
3
9
0
.
0
6
0
.
0
2
0
.
0
9
0
.
0
9
1
0
0
.
2
5
1
2
5
3
.
2
6
2
9
.
0
3
0
.
3
7
0
.
0
2
1
0
.
2
6
5
.
2
4
0
.
4
1
0
.
0
5
0
.
0
3
0
.
0
7
0
.
0
7
9
8
.
8
1
T
h
i
n
1
8
+
5
8
.
1
2
2
7
.
0
6
0
.
0
0
0
.
0
8
7
.
3
4
7
.
0
4
0
.
6
7
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
4
1
0
0
.
4
7
S
e
c
t
i
o
n
l
N
E
+
5
6
.
9
3
2
6
.
9
7
0
.
0
0
0
.
0
2
7
.
7
4
6
.
9
3
0
.
6
8
0
.
0
7
0
.
0
0
0
.
0
2
0
.
1
1
9
9
.
4
7
1
c
+
5
7
.
8
4
2
6
.
6
9
0
.
0
0
0
.
0
3
7
.
3
5
7
.
0
0
0
.
7
8
0
.
0
5
0
.
0
0
0
.
0
0
0
.
1
4
9
9
.
8
8
2
E
5
5
.
9
5
2
7
.
4
7
0
.
0
0
0
.
0
0
8
.
7
5
6
.
4
0
0
.
5
9
0
.
0
2
0
.
0
4
0
.
0
4
0
.
1
1
9
9
.
3
7
2
c
5
3
.
7
6
2
8
.
9
3
0
.
0
0
0
.
0
4
9
.
8
4
5
.
6
8
0
.
4
5
0
.
0
7
0
.
0
4
0
.
0
8
0
.
1
4
9
9
.
0
3
3
E
5
8
.
9
2
2
6
.
5
5
0
.
0
0
0
.
0
0
7
.
4
3
7
.
0
4
0
.
8
8
0
.
0
1
0
.
0
0
0
.
0
0
0
.
0
4
1
0
0
.
8
7
4
E
5
8
.
3
8
2
6
.
1
7
0
.
0
0
0
.
0
0
7
.
4
0
6
.
8
7
0
.
7
4
0
.
0
3
0
.
0
0
0
.
0
4
0
.
1
1
9
9
.
7
4
5
E
5
8
.
6
2
2
5
.
3
7
0
.
0
0
0
.
0
2
7
.
1
5
7
.
0
8
0
.
7
8
0
.
0
4
0
.
0
1
0
.
0
0
0
.
1
1
9
9
.
1
8
5
c
5
6
.
7
9
2
7
.
5
0
0
.
0
0
0
.
0
2
8
.
2
4
6
.
6
0
0
.
7
0
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
3
1
0
0
.
0
1
6
E
5
6
.
4
8
2
8
.
0
3
0
.
0
0
0
.
0
1
8
.
6
5
6
.
6
1
0
.
6
9
0
.
0
4
0
.
0
5
0
.
0
0
0
.
0
8
1
0
0
.
6
4
6
c
5
4
.
1
8
3
0
.
1
3
0
.
0
0
0
.
0
0
1
0
.
9
0
5
.
2
7
0
.
4
2
0
.
0
9
0
.
0
4
0
.
0
0
0
.
1
6
1
0
1
.
1
9
7
E
5
4
.
1
8
3
0
.
2
1
0
.
0
0
0
.
0
2
1
0
.
6
6
5
.
3
2
0
.
4
4
0
.
0
5
0
.
0
7
0
.
0
0
0
.
1
4
1
0
1
.
0
9
7
c
5
4
.
8
9
3
0
.
0
0
0
.
0
0
0
.
0
2
1
0
.
9
5
5
.
2
4
0
.
4
3
0
.
0
5
0
.
0
0
0
.
0
9
0
.
0
7
1
0
1
.
7
4
8
E
5
8
.
9
7
2
6
.
5
5
0
.
0
0
0
.
0
4
7
.
1
8
7
.
0
4
0
.
9
4
0
.
0
2
0
.
0
2
0
.
0
0
0
.
0
8
1
0
0
.
8
4
9
E
5
6
.
0
5
2
8
.
8
4
0
.
0
0
0
.
0
3
9
.
1
8
5
.
7
8
0
.
5
3
0
.
0
7
0
.
0
4
0
.
0
0
0
.
1
3
1
0
0
.
6
5
1
0
E
5
7
.
6
7
2
7
.
8
9
0
.
0
0
0
.
0
2
8
.
2
3
6
.
5
7
0
.
6
5
0
.
0
8
0
.
0
4
0
.
0
0
0
.
1
2
1
0
1
.
2
7
1
0
N
E
4
9
.
8
1
3
3
.
1
0
0
.
3
9
0
.
0
5
1
4
.
2
8
3
.
1
1
0
.
1
7
0
.
0
7
0
.
0
3
0
.
0
0
0
.
1
1
1
0
1
.
1
2
1
0
c
4
8
.
0
7
3
4
.
0
6
0
.
0
0
0
.
0
1
1
5
.
8
1
2
.
4
3
0
.
1
4
0
.
0
6
0
.
0
0
0
.
0
5
0
.
1
1
1
0
0
.
7
4
1
1
a
5
7
.
2
9
2
6
.
0
8
0
.
0
0
0
.
0
3
7
.
1
5
6
.
6
9
0
.
8
9
0
.
0
4
0
.
0
4
0
.
0
0
0
.
1
0
9
8
.
3
1
1
2
E
5
7
.
7
9
2
7
.
0
0
0
.
0
0
0
.
5
0
7
.
7
1
6
.
8
8
0
.
8
2
0
.
0
7
0
.
3
7
0
.
0
0
0
.
2
0
1
0
1
.
3
4
1
3
E
+
5
9
.
0
6
2
6
.
7
0
0
.
0
0
0
.
0
1
7
.
1
2
7
.
1
4
0
.
6
9
0
.
0
3
0
.
0
2
0
.
0
0
0
.
1
9
1
0
0
.
9
6
1
3
c
+
5
7
.
9
7
2
5
.
9
4
0
.
0
0
0
.
0
2
6
.
9
0
7
.
3
0
0
.
7
5
0
.
0
3
0
.
0
2
0
.
0
4
0
.
1
9
9
9
.
1
6
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
6
8
4
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
8
D
e
e
.
3
1
0
2
1
1
2
0
3
F
e
O
M
g
o
C
a
O
8
.
2
0
x
2
0
T
1
0
2
M
a
c
9
2
0
5
D
e
c
T
o
t
a
l
2
1
1
-
7
G
r
a
i
n
1
6
5
.
1
6
1
9
.
6
1
0
.
0
7
0
.
0
0
0
.
1
6
4
.
3
8
1
0
.
7
1
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
0
0
.
0
9
M
o
u
n
t
2
6
5
.
5
9
1
9
.
1
8
0
.
1
0
0
.
0
1
0
.
3
7
4
.
8
3
9
.
2
9
0
.
0
2
0
.
0
0
0
.
0
4
0
.
0
0
9
9
.
4
3
3
E
6
5
.
6
3
1
9
.
4
2
0
.
1
4
0
.
0
0
0
.
2
2
4
.
2
8
1
0
.
3
1
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
0
1
0
0
.
0
2
4
6
5
.
0
1
1
9
.
3
4
0
.
0
9
0
.
0
0
0
.
2
2
4
.
1
0
1
0
.
9
2
0
.
0
0
0
.
0
0
0
.
0
4
0
.
0
0
9
9
.
7
2
5
6
3
.
5
2
1
9
.
0
3
0
.
0
7
0
.
0
0
0
.
1
3
4
.
2
5
1
0
.
6
5
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
0
9
7
.
7
0
6
7
2
.
8
8
1
2
.
1
9
0
.
4
2
0
.
0
4
0
.
3
5
3
.
0
5
5
.
2
1
0
.
1
0
0
.
0
6
0
.
0
0
0
.
0
0
9
4
.
3
0
7
6
5
.
4
1
1
8
.
9
0
0
.
1
0
0
.
0
0
0
.
2
0
4
.
6
6
1
0
.
5
4
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
9
9
.
8
1
8
6
4
.
4
1
1
9
.
3
9
0
.
1
0
0
.
0
0
0
.
2
1
4
.
2
5
1
0
.
8
2
0
.
0
0
0
.
0
4
0
.
0
0
0
.
0
0
9
9
.
2
2
9
E
5
9
.
0
8
2
4
.
2
9
0
.
3
6
0
.
0
0
5
.
6
0
7
.
2
8
1
.
2
8
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
5
9
8
.
0
6
1
0
E
6
4
.
7
2
1
9
.
3
5
0
.
0
6
0
.
0
0
0
.
2
7
3
.
7
9
1
1
.
1
9
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
0
9
9
.
4
0
1
1
6
3
.
3
4
2
2
.
3
2
0
.
1
2
0
.
0
0
2
.
8
5
9
.
3
4
1
.
1
5
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
9
9
.
1
2
1
2
E
6
5
.
5
1
1
9
.
4
4
0
.
1
3
0
.
0
0
0
.
2
1
4
.
2
2
1
0
.
6
5
0
.
0
1
0
.
0
0
0
.
0
0
0
.
0
0
1
0
0
.
1
7
T
h
i
n
1
3
E
6
4
.
7
9
2
2
.
5
1
0
.
1
3
0
.
0
1
2
.
7
3
9
.
5
3
1
.
3
4
0
.
0
0
0
.
0
0
0
.
1
1
0
.
0
3
1
0
1
.
1
8
S
e
c
t
i
o
n
1
3
N
E
6
5
.
1
0
2
2
.
0
5
0
.
1
8
0
.
0
0
2
.
9
6
9
.
7
4
1
.
4
3
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
3
1
0
1
.
5
1
1
3
c
6
5
.
5
4
2
2
.
3
9
0
.
1
5
0
.
0
0
2
.
5
4
9
.
5
7
1
.
5
8
0
.
0
3
0
.
0
3
0
.
0
0
0
.
0
2
1
0
1
.
8
5
1
4
E
6
6
.
2
3
1
8
.
3
8
0
.
0
9
0
.
0
2
0
.
1
9
4
.
3
8
1
0
.
6
4
0
.
0
0
0
.
0
4
0
.
0
4
0
.
0
4
1
0
0
.
0
5
1
4
c
6
5
.
3
3
1
9
.
1
5
0
.
1
1
0
.
0
0
0
.
1
8
4
.
4
3
1
0
.
6
2
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
7
9
9
.
9
2
1
5
E
6
4
.
6
6
2
2
.
7
1
0
.
1
6
0
.
0
0
2
.
9
2
9
.
1
0
1
.
2
0
0
.
0
2
0
.
0
2
0
.
0
2
0
.
0
0
1
0
0
.
8
1
1
5
c
6
4
.
5
9
2
3
.
1
7
0
.
1
9
0
.
0
1
3
.
4
0
9
.
2
2
1
.
1
1
0
.
0
1
0
.
0
0
0
.
0
0
0
.
0
7
1
0
1
.
7
7
1
6
8
6
3
.
1
2
2
4
.
0
9
0
.
2
5
0
.
0
1
4
.
3
2
8
.
4
7
1
.
2
6
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
5
1
0
1
.
5
7
1
6
c
6
2
.
6
4
2
3
.
9
3
0
.
2
3
0
.
0
1
4
.
3
5
8
.
8
3
1
.
4
2
0
.
0
1
0
.
0
0
0
.
0
0
0
.
0
3
1
0
1
.
4
5
1
7
E
5
6
.
6
9
2
8
.
4
8
0
.
4
4
0
.
0
4
8
.
9
7
6
.
2
4
0
.
4
6
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
4
1
0
1
.
4
9
R
l
B
-
Z
G
r
a
i
n
1
6
6
.
2
8
1
9
.
7
4
0
.
1
0
0
.
0
0
0
.
2
2
4
.
0
4
1
1
.
0
5
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
2
1
0
1
.
5
8
M
o
u
n
t
2
6
3
.
6
9
2
3
.
3
9
0
.
1
7
0
.
0
0
4
.
1
3
8
.
9
9
1
.
1
7
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
0
1
0
1
.
5
6
3
6
2
.
6
8
2
2
.
6
0
0
.
1
6
0
.
0
0
3
.
4
1
8
.
7
6
1
.
3
4
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
0
9
8
.
9
7
4
6
4
.
0
1
1
9
.
1
2
0
.
0
9
0
.
0
0
0
.
2
4
4
.
7
9
9
.
7
5
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
4
9
8
.
0
4
5
E
5
8
.
9
5
2
6
.
9
7
0
.
1
2
0
.
0
0
7
.
2
1
7
.
2
9
0
.
5
3
0
.
0
3
0
.
0
3
0
.
0
8
0
.
0
7
1
0
1
.
2
8
6
6
5
.
2
6
1
9
.
5
5
0
.
0
9
0
.
0
0
0
.
1
6
3
.
7
3
1
1
.
1
9
0
.
0
6
0
.
0
0
0
.
0
2
0
.
0
0
1
0
0
.
0
6
7
6
6
.
3
3
1
9
.
3
8
0
.
1
6
0
.
0
0
0
.
2
1
4
.
0
8
1
1
.
3
4
0
.
0
3
0
.
0
5
0
.
0
0
0
.
0
4
1
0
1
.
6
2
8
6
4
.
0
0
1
9
.
5
7
0
.
1
3
0
.
0
0
0
.
2
6
4
.
0
8
1
1
.
2
8
0
.
0
0
0
.
0
1
0
.
0
0
0
.
1
1
9
9
.
4
4
9
6
3
.
0
6
2
3
.
3
4
0
.
2
4
0
.
0
0
3
.
8
2
8
.
7
1
1
.
2
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
0
0
.
3
7
1
0
6
3
.
1
7
2
3
.
2
9
0
.
1
4
0
.
0
0
3
.
6
9
8
.
6
5
1
.
2
1
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
0
1
0
0
.
1
7
1
1
6
0
.
4
2
2
3
.
6
7
0
.
1
3
0
.
0
0
5
.
5
1
7
.
9
3
0
.
8
3
0
.
0
2
0
.
0
3
0
.
0
8
0
.
0
4
9
8
.
6
6
1
2
6
3
.
7
8
1
9
.
4
8
0
.
1
3
0
.
0
0
0
.
2
0
3
.
8
7
1
1
.
2
7
0
.
0
2
0
.
0
8
0
.
0
0
0
.
2
3
9
9
.
0
6
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
1
2
6
5
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
#
1
P
o
e
.
3
1
0
2
1
1
2
0
3
t
o
o
M
9
0
C
a
O
8
.
2
0
x
z
o
T
1
0
2
u
n
o
P
2
0
5
B
a
O
T
o
t
a
l
R
1
8
-
2
W
h
o
l
e
1
3
8
6
4
.
1
7
2
3
.
3
4
0
.
6
0
0
.
0
1
3
.
7
4
9
.
1
3
1
.
1
9
0
.
0
2
0
.
0
2
0
.
0
5
0
.
0
0
1
0
2
.
2
7
G
r
a
i
n
1
3
N
E
6
3
.
7
2
2
2
.
4
0
0
.
1
2
0
.
0
5
2
.
9
9
9
.
0
1
1
.
5
9
0
.
0
5
0
.
0
0
0
.
0
0
0
.
0
0
9
9
.
9
3
1
3
c
6
3
.
4
0
2
2
.
6
1
0
.
1
4
0
.
0
0
3
.
1
3
9
.
1
4
1
.
2
9
0
.
0
5
0
.
0
7
0
.
0
0
0
.
0
0
9
9
.
8
3
1
4
8
6
5
.
2
9
1
8
.
8
5
0
.
0
8
0
.
0
4
0
.
2
4
4
.
0
6
1
0
.
7
1
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
8
9
9
.
3
9
1
4
c
6
5
.
4
4
1
9
.
5
0
0
.
0
5
0
.
0
4
0
.
2
1
4
.
0
5
1
1
.
0
7
0
.
0
4
0
.
0
3
0
.
0
0
0
.
0
5
1
0
0
.
4
8
1
5
8
+
6
4
.
6
1
1
9
.
4
2
0
.
1
4
0
.
0
2
0
.
2
2
3
.
9
4
1
1
.
0
2
0
.
0
6
0
.
0
3
0
.
0
2
0
.
1
5
9
9
.
6
3
1
5
0
+
6
4
.
7
8
1
9
.
6
1
0
.
0
9
0
.
0
0
0
.
2
6
4
.
0
1
1
0
.
9
6
0
.
0
4
0
.
0
4
0
.
0
0
0
.
1
1
9
9
.
9
0
1
6
8
+
6
4
.
4
1
1
9
.
5
5
0
.
0
9
0
.
0
3
0
.
2
6
3
.
8
8
1
1
.
0
2
0
.
0
8
0
.
0
4
0
.
0
2
0
.
1
8
9
9
.
5
6
1
6
c
+
6
4
.
7
2
1
9
.
1
3
0
.
0
8
0
.
0
2
0
.
2
4
3
.
8
8
1
1
.
2
1
0
.
0
5
0
.
0
4
0
.
0
0
0
.
0
5
9
9
.
4
2
1
7
8
+
6
3
.
3
4
1
8
.
9
3
0
.
0
2
0
.
0
1
0
.
2
2
3
.
9
9
1
1
.
0
3
0
.
0
5
0
.
0
0
0
.
0
0
0
.
0
3
9
7
.
6
2
1
7
0
+
6
4
.
7
5
1
9
.
2
1
0
.
0
9
0
.
0
0
0
.
2
1
4
.
1
3
1
1
.
0
1
0
.
0
7
0
.
0
3
0
.
0
0
0
.
0
0
9
9
.
5
0
T
h
i
n
1
8
8
+
6
6
.
5
0
1
9
.
5
6
0
.
1
0
0
.
0
0
0
.
2
3
4
.
0
1
1
0
.
9
9
0
.
0
0
0
.
0
0
0
.
0
4
0
.
1
5
1
0
1
.
5
8
S
e
c
t
i
o
n
1
8
c
+
6
6
.
8
7
1
9
.
8
5
0
.
0
6
0
.
0
0
0
.
2
6
3
.
9
1
1
1
.
0
4
0
.
0
0
0
.
0
0
0
.
0
4
0
.
0
2
1
0
2
.
0
5
1
9
8
6
3
.
5
0
2
3
.
2
6
0
.
1
6
0
.
0
0
4
.
0
0
9
.
0
4
1
.
1
3
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
0
1
.
0
9
2
0
8
6
3
.
9
3
2
3
.
5
5
0
.
2
2
0
.
0
0
3
.
7
6
8
.
8
3
1
.
2
6
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
3
1
0
1
.
6
3
2
0
c
6
4
.
9
2
2
3
.
5
3
0
.
1
9
0
.
0
0
3
.
8
7
9
.
0
9
1
.
2
6
0
.
0
0
0
.
1
4
0
.
0
6
0
.
0
4
1
0
3
.
1
0
2
1
8
6
3
.
4
3
2
3
.
4
8
0
.
1
2
0
.
0
0
3
.
8
2
9
.
0
5
1
.
2
8
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
0
1
0
1
.
2
0
2
2
8
6
5
.
8
6
1
9
.
5
8
0
.
0
5
0
.
0
0
0
.
2
9
3
.
9
2
1
0
.
9
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
7
1
0
0
.
7
7
2
2
c
6
5
.
9
7
1
9
.
6
9
0
.
0
5
0
.
0
0
0
.
2
8
3
.
9
3
1
1
.
0
5
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
0
0
.
9
7
R
1
8
-
1
6
G
r
a
i
n
1
8
6
5
.
0
6
2
0
.
0
6
0
.
1
0
0
.
0
0
0
.
2
8
4
.
2
4
1
1
.
0
6
0
.
0
3
0
.
0
7
0
.
0
0
0
.
2
2
1
0
1
.
1
2
M
o
u
n
t
2
6
3
.
7
5
2
3
.
0
3
0
.
3
6
0
.
0
0
3
.
5
3
8
.
9
9
1
.
6
1
0
.
0
5
0
.
0
0
0
.
0
0
0
.
0
0
1
0
1
.
3
2
3
6
5
.
1
9
1
9
.
6
9
0
.
1
0
0
.
0
0
0
.
2
6
4
.
0
9
1
1
.
2
8
0
.
0
8
0
.
0
3
0
.
0
6
0
.
0
8
1
0
0
.
8
6
4
6
5
.
2
1
1
9
.
5
1
0
.
0
6
0
.
0
0
0
.
2
6
4
.
1
9
1
1
.
3
7
0
.
0
5
0
.
0
3
0
.
0
0
0
.
0
3
1
0
0
.
7
1
5
6
4
.
8
3
1
9
.
9
3
0
.
0
7
0
.
0
0
0
.
2
8
4
.
1
9
1
1
.
0
9
0
.
0
5
0
.
0
0
0
.
0
0
0
.
1
3
1
0
0
.
5
7
6
6
2
.
5
6
2
3
.
6
0
0
.
1
6
0
.
0
0
3
.
8
5
8
.
7
6
1
.
3
3
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
2
1
0
0
.
3
2
W
h
o
l
e
7
8
6
4
.
3
3
1
9
.
4
8
0
.
0
7
0
.
0
0
0
.
3
0
4
.
0
5
1
0
.
8
9
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
5
9
9
.
1
7
G
r
a
i
n
7
c
6
5
.
1
2
1
9
.
3
1
0
.
1
1
0
.
0
0
0
.
2
4
3
.
9
4
1
0
.
8
0
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
0
9
9
.
5
4
8
8
6
3
.
5
4
1
9
.
1
3
0
.
1
3
0
.
0
0
0
.
2
5
3
.
9
2
1
0
.
9
3
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
6
9
7
.
9
6
8
c
6
4
.
3
4
1
9
.
0
2
0
.
0
6
0
.
0
0
0
.
2
5
3
.
9
8
1
1
.
2
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
9
8
.
8
5
9
8
6
4
.
9
6
1
9
.
1
4
0
.
1
5
0
.
0
0
0
.
2
5
3
.
8
2
1
1
.
0
8
0
.
0
0
0
.
0
2
0
.
0
0
0
.
0
2
9
9
.
4
4
9
c
6
4
.
7
3
1
9
.
3
7
0
.
0
5
0
.
0
0
0
.
2
5
3
.
8
7
1
1
.
0
1
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
9
9
.
2
8
1
0
E
6
4
.
6
1
1
9
.
6
0
0
.
1
6
0
.
0
0
0
.
2
5
4
.
0
1
1
0
.
8
4
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
8
9
9
.
5
7
1
0
c
6
4
.
9
0
1
9
.
4
6
0
.
0
5
0
.
0
0
0
.
2
8
3
.
8
5
1
0
.
9
0
0
.
0
0
0
.
0
1
0
.
0
0
0
.
0
3
9
9
.
4
8
1
1
8
5
9
.
9
0
2
4
.
8
2
0
.
2
1
0
.
0
0
5
.
6
1
8
.
2
4
0
.
8
6
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
9
9
.
6
4
1
1
N
E
5
9
.
3
1
2
5
.
9
1
0
.
1
3
0
.
0
0
6
.
3
9
7
.
7
4
0
.
7
3
0
.
0
0
0
.
0
1
0
.
0
0
0
.
0
0
1
0
0
.
2
2
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
6
6
5
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
m
e
s
a
m
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
5
P
e
e
.
3
1
0
2
1
1
2
0
3
r
o
o
u
g
o
C
a
O
N
a
2
0
:
2
0
T
1
0
2
u
n
o
2
2
0
5
D
e
c
T
o
t
a
l
R
1
8
-
1
6
T
h
i
n
1
2
8
6
4
.
4
0
1
9
.
5
9
0
.
1
4
0
.
0
0
0
.
2
4
3
.
9
8
1
1
.
1
4
0
.
0
5
0
.
0
3
0
.
0
0
0
.
1
4
9
9
.
7
1
S
e
c
t
i
o
n
1
3
c
6
3
.
7
9
2
3
.
4
4
0
.
2
1
0
.
0
0
4
.
3
0
8
.
8
1
1
.
2
2
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
4
1
0
1
.
8
5
1
4
8
6
4
.
3
7
2
3
.
8
1
0
.
2
4
0
.
0
0
4
.
0
6
8
.
7
1
1
.
2
8
0
.
0
0
0
.
0
3
0
.
0
0
0
.
0
7
1
0
2
.
5
7
1
4
c
5
6
.
7
1
2
6
.
7
7
0
.
1
5
0
.
0
0
9
.
2
7
6
.
0
7
0
.
3
8
0
.
0
0
0
.
0
6
0
.
0
0
0
.
0
2
9
9
.
4
3
1
5
8
6
5
.
8
8
1
7
.
9
7
0
.
2
1
0
.
0
0
0
.
2
2
3
.
7
7
1
1
.
2
8
0
.
0
4
0
.
0
0
0
.
0
0
0
.
1
1
9
9
.
4
8
1
5
c
6
5
.
0
4
1
9
.
5
3
0
.
1
5
0
.
0
0
0
.
2
8
3
.
9
7
1
0
.
8
9
0
.
0
0
0
.
0
2
0
.
0
0
0
.
1
2
1
0
0
.
0
0
1
6
8
6
3
.
4
3
2
3
.
1
6
0
.
2
3
0
.
0
0
4
.
0
5
8
.
4
8
1
.
2
9
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
7
1
0
0
.
7
4
1
6
c
6
5
.
1
9
2
2
.
7
2
0
.
2
1
0
.
0
0
3
.
4
0
9
.
1
1
1
.
6
5
0
.
0
1
0
.
0
0
0
.
0
0
0
.
0
0
1
0
2
.
2
9
1
7
8
6
5
.
8
2
1
9
.
5
9
0
.
0
9
0
.
0
0
0
.
2
1
3
.
8
1
1
0
.
9
9
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
7
1
0
0
.
7
1
1
7
c
6
6
.
1
2
1
9
.
7
8
0
.
0
8
0
.
0
0
0
.
2
1
4
.
0
8
1
1
.
4
7
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
2
1
0
1
.
7
8
1
8
8
6
5
.
7
0
1
9
.
1
9
0
.
1
9
0
.
0
0
0
.
2
4
3
.
7
6
1
1
.
2
2
0
.
0
1
0
.
0
6
0
.
0
0
0
.
1
4
1
0
0
.
5
1
1
8
c
6
4
.
4
4
1
9
.
4
2
0
.
1
2
0
.
0
0
0
.
2
5
3
.
7
8
1
1
.
1
6
0
.
0
4
0
.
0
4
0
.
0
7
0
.
1
9
9
9
.
5
1
1
9
8
6
3
.
4
9
2
3
.
6
8
0
.
2
2
0
.
0
0
3
.
9
0
8
.
4
5
1
.
3
9
0
.
0
4
0
.
0
5
0
.
0
0
0
.
0
4
1
0
1
.
2
6
8
2
3
-
1
3
G
r
a
i
n
1
6
2
.
1
5
1
9
.
7
7
0
.
2
2
0
.
0
0
0
.
4
9
4
.
0
3
9
.
6
8
0
.
0
4
0
.
1
9
0
.
0
2
1
.
4
1
9
8
.
0
0
M
o
u
n
t
2
6
4
.
4
4
1
9
.
2
4
0
.
1
5
0
.
0
0
0
.
2
5
3
.
8
2
1
0
.
8
3
0
.
0
2
0
.
0
5
0
.
0
0
0
.
1
3
9
8
.
9
3
3
8
6
0
.
7
5
2
3
.
6
4
0
.
3
6
0
.
0
0
4
.
5
1
7
.
6
7
1
.
8
1
0
.
0
2
0
.
0
2
0
.
0
0
0
.
1
0
9
8
.
8
8
4
5
8
.
8
6
2
4
.
9
2
0
.
2
8
0
.
0
0
5
.
3
5
7
.
7
9
1
.
3
4
0
.
0
5
0
.
0
2
0
.
0
4
0
.
1
8
9
8
.
8
3
5
6
2
.
5
2
1
9
.
1
6
0
.
2
3
0
.
0
0
0
.
3
8
4
.
2
2
1
0
.
2
2
0
.
0
3
0
.
0
2
0
.
0
0
0
.
3
3
9
7
.
1
1
6
5
7
.
9
6
2
5
.
8
5
0
.
3
4
0
.
0
0
6
.
6
0
6
.
7
4
1
.
0
2
0
.
0
4
0
.
0
3
0
.
0
4
0
.
3
1
9
8
.
9
3
7
5
7
.
5
0
2
5
.
3
0
1
.
0
5
0
.
0
0
5
.
8
9
7
.
5
2
1
.
1
9
0
.
0
6
0
.
0
2
0
.
0
8
0
.
2
4
9
8
.
8
5
8
5
2
.
1
4
2
9
.
1
9
0
.
3
5
0
.
0
3
1
0
.
3
7
5
.
1
9
0
.
2
7
0
.
0
6
0
.
0
4
0
.
0
0
0
.
0
6
9
7
.
7
0
9
8
6
1
.
4
3
2
3
.
0
2
0
.
2
7
0
.
0
0
4
.
1
0
8
.
3
3
1
.
5
2
0
.
0
4
0
.
0
3
0
.
0
0
0
.
0
7
9
8
.
8
1
9
c
5
4
.
7
4
2
7
.
7
7
0
.
4
3
0
.
0
4
8
.
6
6
5
.
9
6
0
.
5
8
0
.
0
2
0
.
0
2
0
.
0
4
0
.
1
9
9
8
.
4
5
1
0
6
0
.
6
1
2
4
.
1
7
0
.
2
9
0
.
0
3
4
.
6
2
7
.
9
9
1
.
4
7
0
.
0
0
0
.
0
3
0
.
0
6
0
.
1
0
9
9
.
3
7
1
1
8
5
9
.
9
5
2
4
.
2
5
0
.
4
2
0
.
0
3
5
.
0
6
7
.
9
0
1
.
3
4
0
.
0
3
0
.
0
2
0
.
0
6
0
.
0
9
9
9
.
1
5
1
2
8
6
4
.
6
1
1
9
.
4
7
0
.
1
2
0
.
0
0
0
.
3
2
5
.
1
7
9
.
1
0
0
.
0
0
0
.
0
3
0
.
0
7
0
.
0
6
9
8
.
9
5
W
h
o
l
e
1
3
8
6
2
.
8
0
1
9
.
6
9
0
.
1
8
0
.
0
0
0
.
4
7
4
.
2
5
1
0
.
0
8
0
.
0
2
0
.
0
1
0
.
0
0
0
.
5
3
9
8
.
0
3
G
r
a
i
n
1
3
c
6
3
.
7
9
1
9
.
9
6
0
.
1
7
0
.
0
0
0
.
4
6
4
.
4
0
1
0
.
3
2
0
.
0
0
0
.
0
0
0
.
0
4
0
.
6
2
9
9
.
7
6
1
4
8
6
3
.
0
8
2
0
.
4
0
0
.
1
9
0
.
0
0
0
.
6
0
4
.
2
2
9
.
9
0
0
.
0
0
0
.
0
5
0
.
0
0
1
.
4
3
9
9
.
8
7
1
4
c
6
5
.
4
3
1
9
.
8
2
0
.
0
8
0
.
0
0
0
.
3
1
4
.
2
5
1
0
.
5
3
0
.
0
0
0
.
0
2
0
.
0
0
0
.
0
5
1
0
0
.
4
9
1
5
8
6
4
.
6
1
2
0
.
2
7
0
.
5
3
0
.
0
0
0
.
4
6
4
.
5
1
1
0
.
1
8
0
.
0
4
0
.
0
4
0
.
0
4
0
.
4
8
1
0
1
.
1
6
1
5
c
6
5
.
6
1
1
9
.
8
2
0
.
1
0
0
.
0
0
0
.
2
8
4
.
0
6
1
0
.
8
3
0
.
0
0
0
.
0
5
0
.
0
0
0
.
0
0
1
0
0
.
7
5
1
6
8
6
3
.
3
2
2
0
.
6
8
0
.
2
0
0
.
0
0
0
.
5
1
4
.
0
9
9
.
5
8
0
.
0
2
0
.
0
9
0
.
0
0
2
.
1
1
1
0
0
.
6
0
1
6
c
6
4
.
0
4
2
0
.
0
8
0
.
1
8
0
.
0
0
0
.
6
0
4
.
3
8
1
0
.
0
4
0
.
0
0
0
.
0
3
0
.
0
5
0
.
7
9
1
0
0
.
1
9
1
7
8
6
6
.
0
3
1
9
.
9
6
0
.
1
2
0
.
0
0
0
.
3
2
4
.
2
4
1
0
.
7
9
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
1
0
1
.
4
6
1
7
c
6
5
.
1
3
1
9
.
6
9
0
.
1
0
0
.
0
0
0
.
3
2
4
.
0
6
1
1
.
0
2
0
.
0
0
0
.
0
2
0
.
0
0
0
.
0
0
1
0
0
.
3
4
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
6
7
 
F
E
L
D
S
P
A
R
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
m
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
8
P
e
e
.
8
1
0
2
1
1
2
0
3
F
e
O
U
g
o
C
a
O
N
a
2
0
8
2
0
2
1
0
2
M
n
O
2
2
0
5
B
a
O
T
o
t
a
l
3
2
3
-
1
3
T
h
i
n
1
8
E
6
1
.
6
6
2
3
.
2
1
0
.
2
7
0
.
0
2
4
.
3
7
7
.
8
9
1
.
9
0
0
.
0
0
0
.
0
6
0
.
0
0
0
.
0
4
9
9
.
4
2
S
e
c
t
i
o
n
1
8
C
5
8
.
5
1
2
5
.
7
4
0
.
3
2
0
.
0
4
7
.
6
5
6
.
7
9
0
.
7
5
0
.
0
2
0
.
0
5
0
.
0
0
0
.
1
0
9
9
.
9
7
1
9
E
6
0
.
8
8
2
3
.
6
5
0
.
3
6
0
.
0
3
4
.
7
7
7
.
5
3
1
.
6
9
0
.
0
2
0
.
0
3
0
.
0
0
0
.
0
2
9
8
.
9
8
1
9
C
6
1
.
1
8
2
4
.
2
5
0
.
3
1
0
.
0
3
5
.
3
2
7
.
6
4
1
.
3
1
0
.
0
5
0
.
0
3
0
.
0
2
0
.
1
0
1
0
0
.
2
4
2
0
3
+
5
9
.
0
6
2
5
.
7
5
0
.
2
7
0
.
0
3
7
.
6
6
7
.
0
2
0
.
5
1
0
.
0
3
0
.
0
4
0
.
0
0
0
.
0
9
1
0
0
.
4
6
2
0
C
+
5
7
.
2
9
2
6
.
6
2
0
.
3
0
0
.
0
2
8
.
4
9
6
.
9
9
0
.
4
3
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
9
1
0
0
.
2
6
2
1
E
6
0
.
3
7
2
4
.
2
1
0
.
3
8
0
.
0
4
6
.
7
5
7
.
2
1
1
.
1
4
0
.
0
1
0
.
0
2
0
.
0
2
0
.
1
4
1
0
0
.
2
9
2
2
E
6
2
.
8
4
2
3
.
6
4
0
.
3
1
0
.
0
2
4
.
8
9
7
.
9
2
1
.
7
5
0
.
0
4
0
.
0
5
0
.
0
0
0
.
0
7
1
0
1
.
5
3
2
2
C
5
6
.
4
2
2
8
.
2
1
0
.
3
1
0
.
0
5
9
.
4
6
5
.
9
9
0
.
5
2
0
.
0
0
0
.
0
8
0
.
0
0
0
.
0
9
1
0
1
.
1
3
2
3
E
+
6
3
.
1
2
2
0
.
3
1
0
.
2
6
0
.
0
3
0
.
6
0
4
.
2
0
9
.
6
9
0
.
0
8
0
.
0
6
0
.
0
2
2
.
3
9
1
0
0
.
7
6
2
3
C
+
6
4
.
7
5
1
9
.
9
2
0
.
1
8
0
.
0
2
0
.
4
9
4
.
4
0
1
0
.
0
4
0
.
0
5
0
.
0
2
0
.
0
4
0
.
9
9
1
0
0
.
9
0
2
4
E
6
1
.
1
3
2
4
.
8
7
0
.
2
9
0
.
0
2
5
.
7
0
'
7
.
4
6
1
.
3
0
0
.
0
0
0
.
0
6
0
.
0
0
0
.
1
7
1
0
1
.
0
0
2
4
C
5
7
.
5
2
2
7
.
2
7
0
.
2
8
0
.
0
5
8
.
3
2
6
.
7
0
0
.
6
9
0
.
0
3
0
.
0
3
0
.
0
6
0
.
1
9
1
0
1
.
1
4
3
2
3
-
2
4
T
h
i
n
1
E
+
5
8
.
8
9
2
6
.
4
8
0
.
3
4
0
.
0
1
7
.
1
9
7
.
1
7
0
.
7
2
0
.
0
3
0
.
0
0
0
.
0
0
0
.
2
5
1
0
1
.
0
8
S
e
c
t
i
o
n
l
N
E
+
5
9
.
1
6
2
6
.
3
5
0
.
3
8
0
.
0
3
7
.
3
3
7
.
2
0
0
.
6
6
0
.
0
5
0
.
6
0
0
.
0
4
0
.
2
1
1
0
2
.
0
1
1
C
+
5
8
.
5
3
2
6
.
0
8
0
.
2
9
0
.
0
3
7
.
1
9
6
.
7
3
0
.
7
0
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
7
9
9
.
7
5
2
E
5
4
.
5
7
2
9
.
2
4
0
.
3
7
0
.
0
3
1
0
.
3
2
5
.
2
6
0
.
3
8
0
.
0
7
0
.
0
0
0
.
0
2
0
.
1
2
1
0
0
.
3
8
2
C
5
4
.
6
4
2
9
.
7
0
0
.
4
6
0
.
0
5
1
1
.
0
5
4
.
7
8
0
.
3
6
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
9
1
0
1
.
1
7
3
2
+
5
5
.
6
2
2
8
.
7
7
0
.
3
6
0
.
0
3
1
0
.
1
8
5
.
3
2
0
.
3
7
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
6
1
0
0
.
8
3
3
C
+
5
5
.
5
2
2
7
.
8
9
0
.
3
9
0
.
0
4
1
0
.
1
0
5
.
8
0
0
.
3
9
0
.
0
3
0
.
0
0
0
.
0
4
0
.
1
5
1
0
0
.
3
5
4
E
+
5
5
.
5
7
2
7
.
1
0
0
.
3
2
0
.
0
3
9
.
1
8
5
.
8
7
0
.
4
3
0
.
0
3
0
.
0
0
0
.
0
8
0
.
1
2
9
8
.
7
3
4
C
+
5
4
.
1
7
2
8
.
0
0
0
.
5
0
0
.
0
5
1
1
.
0
1
5
.
2
2
0
.
2
6
0
.
0
6
0
.
0
0
0
.
0
0
0
.
0
7
9
9
.
3
4
5
E
5
8
.
6
9
2
6
.
9
2
0
.
3
4
0
.
0
5
8
.
0
1
6
.
8
4
0
.
5
5
0
.
0
0
0
.
0
2
0
.
0
4
0
.
1
6
1
0
1
.
6
2
5
C
5
7
.
3
5
2
7
.
7
0
0
.
4
1
0
.
0
0
8
.
4
9
6
.
1
9
0
.
4
6
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
0
1
0
0
.
7
3
6
2
+
5
7
.
3
9
2
8
.
2
3
0
.
3
6
0
.
0
3
9
.
0
3
6
.
1
6
0
.
4
5
0
.
0
6
0
.
0
0
0
.
0
0
0
.
0
6
1
0
1
.
7
7
G
r
a
i
n
7
E
5
5
.
3
6
2
9
.
0
2
0
.
4
1
0
.
0
2
9
.
8
9
5
.
9
3
0
.
3
6
0
.
0
9
0
.
0
2
0
.
0
2
0
.
0
0
1
0
1
.
1
2
M
o
u
n
t
8
5
4
.
1
4
3
0
.
1
2
0
.
5
1
0
.
0
6
1
1
.
0
6
5
.
3
1
0
.
3
5
0
.
0
5
0
.
0
0
0
.
0
6
0
.
0
0
1
0
1
.
6
6
9
E
5
3
.
5
0
2
8
.
3
5
0
.
3
7
0
.
0
0
9
.
8
6
5
.
5
4
0
.
4
6
0
.
0
8
0
.
0
2
0
.
0
4
0
.
0
0
9
8
.
2
2
1
0
E
5
5
.
1
2
2
8
.
5
4
0
.
4
9
0
.
0
0
9
.
1
9
6
.
0
7
0
.
4
9
0
.
0
7
0
.
0
0
0
.
0
0
0
.
0
0
9
9
.
9
7
1
1
E
5
5
.
0
5
2
8
.
8
8
0
.
3
3
0
.
0
1
9
.
8
6
5
.
6
4
0
.
3
4
0
.
0
6
0
.
0
2
0
.
0
7
0
.
0
0
1
0
0
.
2
6
1
2
E
5
6
.
8
5
2
8
.
1
2
0
.
4
1
0
.
0
0
8
.
7
4
6
.
2
6
0
.
4
6
0
.
0
3
0
.
0
4
0
.
0
6
0
.
0
0
1
0
0
.
9
7
1
3
E
5
5
.
1
1
2
8
.
9
0
0
.
3
3
0
.
0
1
9
.
6
5
6
.
1
9
0
.
3
7
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
0
1
0
0
.
5
8
1
4
E
+
5
7
.
8
0
2
6
.
9
1
0
.
3
2
0
.
0
0
7
.
3
4
7
.
1
0
0
.
6
7
0
.
0
6
0
.
0
3
0
.
0
0
0
.
0
4
1
0
0
.
2
7
1
5
8
+
5
7
.
3
2
2
7
.
2
1
0
.
3
4
0
.
0
0
8
.
0
2
6
.
8
3
0
.
5
4
0
.
0
5
0
.
0
0
0
.
0
8
0
.
0
0
1
0
0
.
3
9
1
6
2
+
5
4
.
4
0
2
8
.
5
7
0
.
3
5
0
.
0
2
1
0
.
1
1
5
.
9
1
0
.
4
0
0
.
0
6
0
.
0
0
0
.
0
0
0
.
0
2
9
9
.
8
4
2
6
8
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
m
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
8
P
e
e
.
8
1
0
2
1
1
2
0
3
F
e
O
M
g
O
C
a
O
N
a
2
0
K
2
0
T
1
0
2
u
n
o
P
2
0
5
B
a
o
T
o
t
a
l
R
2
3
-
2
4
W
h
o
l
e
1
7
E
5
6
.
7
2
2
7
.
5
5
0
.
3
7
0
.
0
3
8
.
6
1
6
.
3
1
0
.
5
0
0
.
0
6
0
.
0
0
0
.
0
0
0
.
0
3
1
0
0
.
1
8
G
r
a
i
n
1
7
C
5
6
.
6
7
2
7
.
6
3
0
.
3
2
0
.
0
4
8
.
4
1
6
.
0
2
0
.
4
3
0
.
0
9
0
.
0
2
0
.
0
6
0
.
1
4
9
9
.
8
3
R
2
3
-
2
6
W
h
o
l
e
1
E
6
4
.
1
1
1
9
.
8
2
0
.
1
9
0
.
0
4
0
.
4
0
4
.
1
1
1
0
.
3
1
0
.
0
5
0
.
0
4
0
.
0
2
1
.
0
9
1
0
0
.
1
8
G
r
a
i
n
1
C
6
4
.
1
3
1
9
.
5
0
0
.
1
3
0
.
0
1
0
.
5
1
4
.
1
8
1
0
.
1
0
0
.
0
7
0
.
0
0
0
.
0
0
0
.
4
8
9
9
.
1
1
2
E
6
4
.
3
6
1
9
.
8
7
1
.
5
7
0
.
0
2
0
.
4
0
4
.
3
3
1
0
.
3
3
0
.
1
0
0
.
0
2
0
.
0
0
0
.
7
0
1
0
1
.
7
0
2
C
6
3
.
3
0
1
9
.
9
6
0
.
1
4
0
.
0
2
0
.
4
7
4
.
2
1
1
0
.
1
7
0
.
0
8
0
.
0
3
0
.
0
0
1
.
1
3
9
9
.
5
1
3
8
+
6
2
.
7
8
2
0
.
2
0
0
.
1
7
0
.
0
2
0
.
6
4
4
.
0
3
9
.
5
5
0
.
0
9
0
.
0
3
0
.
0
2
1
.
7
9
9
9
.
3
2
3
C
+
6
2
.
6
3
1
9
.
4
3
0
.
2
0
0
.
0
2
0
.
4
3
4
.
2
1
1
0
.
1
6
0
.
0
4
0
.
0
5
0
.
0
0
0
.
9
7
9
8
.
1
4
4
E
6
2
.
1
0
2
0
.
0
1
0
.
1
4
0
.
0
1
0
.
7
0
4
.
1
1
9
.
5
3
0
.
0
5
0
.
0
0
0
.
0
0
1
.
6
8
9
8
.
3
3
4
C
6
2
.
9
6
1
9
.
9
4
0
.
1
6
0
.
0
1
0
.
5
1
4
.
4
3
1
0
.
0
1
0
.
0
9
0
.
0
5
0
.
0
0
1
.
3
9
9
9
.
5
5
5
E
6
0
.
7
6
2
5
.
1
4
0
.
2
6
0
.
0
0
5
.
1
6
7
.
5
9
1
.
6
5
0
.
1
2
0
.
0
2
0
.
0
0
0
.
1
4
1
0
0
.
8
4
5
C
6
0
.
9
7
2
4
.
2
2
0
.
3
5
0
.
0
0
5
.
0
9
7
.
6
0
1
.
6
0
0
.
1
0
0
.
0
0
0
.
0
0
0
.
2
7
1
0
0
.
2
0
6
E
5
9
.
6
5
2
4
.
4
2
0
.
3
5
0
.
0
3
5
.
5
2
7
.
4
5
1
.
4
4
0
.
0
5
0
.
0
4
0
.
0
0
0
.
1
4
9
9
.
0
9
7
E
5
8
.
8
6
2
5
.
5
0
1
.
0
9
0
.
0
3
5
.
9
8
7
.
5
1
1
.
2
2
0
.
0
6
0
.
0
7
0
.
0
0
0
.
2
9
1
0
0
.
6
1
7
C
5
8
.
0
3
2
6
.
2
9
0
.
3
7
0
.
0
2
7
.
2
9
6
.
8
5
0
.
9
4
0
.
1
0
0
.
0
5
0
.
0
0
0
.
1
5
1
0
0
.
0
9
G
r
a
i
n
8
6
3
.
8
2
2
0
.
5
2
0
.
2
0
0
.
0
0
0
.
6
5
4
.
1
9
9
.
9
0
0
.
0
0
0
.
0
0
0
.
0
3
1
.
8
3
1
0
1
.
1
4
M
o
u
n
t
9
6
3
.
8
9
2
0
.
2
0
0
.
2
3
0
.
0
0
0
.
6
0
4
.
1
0
9
.
6
0
0
.
0
0
0
.
0
0
0
.
0
2
1
.
8
7
1
0
0
.
5
1
1
0
6
1
.
1
6
2
3
.
4
7
0
.
3
4
0
.
0
0
5
.
6
6
7
.
6
3
1
.
4
4
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
0
9
9
.
8
0
1
1
6
0
.
8
0
2
4
.
2
9
0
.
4
0
0
.
0
0
5
.
9
1
7
.
2
8
1
.
3
8
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
1
1
0
0
.
1
7
1
2
6
1
.
3
6
2
4
.
6
7
0
.
2
7
0
.
0
0
5
.
5
2
7
.
5
5
1
.
4
8
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
1
1
0
0
.
9
6
1
3
E
5
9
.
4
8
2
5
.
1
9
0
.
3
2
0
.
0
0
6
.
6
2
7
.
3
1
1
.
1
2
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
3
1
0
0
.
1
7
1
4
E
6
1
.
3
1
2
4
.
3
2
0
.
2
9
0
.
0
0
5
.
0
0
7
.
8
6
1
.
7
1
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
5
1
0
0
.
5
4
1
5
6
3
.
0
6
2
0
.
2
2
1
.
1
7
0
.
0
0
0
.
9
3
3
.
8
3
9
.
3
3
0
.
0
3
0
.
0
0
0
.
0
7
2
.
7
1
1
0
1
.
3
5
1
6
6
1
.
7
3
2
4
.
2
4
0
.
3
0
0
.
0
0
5
.
4
0
7
.
6
4
1
.
5
8
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
6
1
0
1
.
0
5
1
7
6
1
.
8
5
2
4
.
7
7
0
.
3
7
0
.
0
4
5
.
6
2
7
.
5
1
1
.
3
2
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
7
1
0
1
.
5
7
1
8
6
3
.
7
0
2
0
.
2
5
0
.
1
6
0
.
0
0
0
.
7
3
4
.
1
2
9
.
6
7
0
.
0
3
0
.
0
0
0
.
0
0
1
.
7
9
1
0
0
.
4
5
1
9
6
0
.
9
5
2
4
.
1
9
0
.
3
2
0
.
0
2
5
.
5
9
7
.
4
6
1
.
4
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
5
1
0
0
.
0
8
2
0
6
3
.
5
3
2
0
.
1
0
0
.
2
0
0
.
0
0
0
.
6
2
3
.
9
8
9
.
7
5
0
.
0
4
0
.
0
0
0
.
0
0
1
.
5
8
9
9
.
8
0
2
1
6
1
.
6
9
2
4
.
3
6
0
.
3
7
0
.
0
3
5
.
2
6
7
.
5
8
1
.
7
0
0
.
0
0
0
.
0
0
0
.
0
6
0
.
1
3
1
0
1
.
1
8
2
2
6
0
.
9
5
2
4
.
2
8
0
.
5
8
0
.
0
0
5
.
5
4
7
.
4
5
1
.
4
4
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
2
1
0
0
.
3
6
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
6
S
!
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
H
o
s
e
m
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
8
P
e
e
.
$
1
0
2
1
1
2
0
3
8
.
0
a
g
o
0
5
0
N
a
2
0
X
2
0
2
1
0
2
M
a
c
P
2
0
5
3
.
0
T
o
t
a
l
R
2
3
-
2
6
T
h
i
n
2
3
8
6
1
.
6
4
2
4
.
6
0
0
.
3
7
0
.
0
0
5
.
0
0
7
.
8
0
1
.
6
7
0
.
0
3
0
.
0
0
0
.
0
6
0
.
1
6
1
0
1
.
3
3
S
e
c
t
i
o
n
2
3
c
5
5
.
2
0
2
8
.
7
4
0
.
3
6
0
.
0
0
1
0
.
2
1
5
.
4
0
0
.
5
3
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
7
1
0
0
.
5
5
2
4
8
6
0
.
6
5
2
4
.
6
5
0
.
4
1
0
.
0
0
5
.
6
5
7
.
5
2
1
.
4
1
0
.
0
0
0
.
0
0
0
.
0
2
0
.
1
9
1
0
0
.
5
0
2
4
N
8
5
5
.
7
5
2
7
.
9
8
0
.
5
3
0
.
0
1
8
.
8
5
5
.
9
5
0
.
6
2
0
.
0
8
0
.
0
3
0
.
0
0
0
.
1
7
9
9
.
9
7
2
4
c
5
6
.
6
5
2
7
.
5
1
0
.
4
5
0
.
0
2
8
.
7
9
6
.
4
4
0
.
6
8
0
.
0
7
0
.
0
2
0
.
0
8
0
.
1
4
1
0
0
.
8
5
2
5
8
+
6
0
.
9
3
2
5
.
1
2
0
.
3
6
0
.
0
0
5
.
9
7
7
.
6
6
1
.
2
8
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
7
1
0
1
.
4
4
2
5
0
+
6
0
.
8
1
2
5
.
6
0
0
.
4
0
0
.
0
0
6
.
0
1
7
.
7
9
1
.
3
9
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
8
1
0
2
.
1
0
2
6
8
+
5
9
.
8
6
2
5
.
4
6
0
.
3
9
0
.
3
2
6
.
2
2
7
.
3
3
1
.
2
0
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
6
1
0
0
.
9
7
2
7
8
5
9
.
9
6
2
7
.
3
9
0
.
3
5
0
.
0
1
8
.
0
9
6
.
4
6
0
.
8
3
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
8
1
0
3
.
2
0
2
7
c
5
7
.
4
3
2
6
.
5
6
0
.
4
2
0
.
0
3
7
.
9
4
6
.
7
1
1
.
0
5
0
.
0
6
0
.
0
0
0
.
0
0
0
.
1
1
1
0
0
.
3
1
2
8
8
+
5
9
.
9
3
2
4
.
1
7
0
.
3
4
0
.
0
0
5
.
3
2
7
.
3
6
1
.
5
1
0
.
0
0
0
.
7
3
0
.
0
7
0
.
1
1
9
9
.
5
4
2
8
c
+
6
1
.
8
5
2
4
.
4
7
0
.
3
2
0
.
0
0
5
.
1
2
7
.
7
9
1
.
6
0
0
.
0
4
0
.
0
0
0
.
0
5
0
.
0
6
1
0
1
.
3
0
R
2
3
-
2
7
G
r
a
i
n
1
5
3
.
2
2
3
0
.
1
3
0
.
3
1
0
.
0
1
1
1
.
0
3
4
.
9
6
0
.
2
5
0
.
0
0
0
.
0
0
0
.
0
2
0
.
1
1
1
0
0
.
0
4
M
o
u
n
t
2
5
4
.
1
3
2
8
.
2
3
0
.
3
4
0
.
2
9
1
0
.
2
9
5
.
3
4
0
.
3
1
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
8
9
9
.
0
3
3
5
8
.
5
9
2
6
.
0
2
0
.
2
8
0
.
0
0
6
.
8
0
7
.
5
6
0
.
8
1
0
.
0
5
0
.
0
0
0
.
0
0
0
.
2
6
1
0
0
.
3
7
4
5
7
.
8
5
2
7
.
2
4
0
.
3
1
0
.
0
0
7
.
6
4
7
.
1
4
0
.
5
4
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
0
1
0
0
.
8
2
5
5
6
.
4
1
2
7
.
8
3
0
.
3
3
0
.
0
0
8
.
8
6
6
.
4
2
0
.
4
6
0
.
0
0
0
.
0
0
0
.
0
8
0
.
0
8
1
0
0
.
4
7
6
5
6
.
8
8
2
4
.
4
6
0
.
2
6
0
.
0
0
7
.
8
1
6
.
5
7
0
.
6
1
0
.
0
3
0
.
0
0
0
.
0
0
0
.
1
7
9
6
.
7
9
7
8
5
7
.
3
7
2
7
.
2
9
0
.
3
7
0
.
0
0
8
.
2
7
6
.
8
0
0
.
5
3
0
.
0
1
0
.
0
0
0
.
0
2
0
.
1
7
1
0
0
.
8
3
7
c
5
7
.
4
2
2
6
.
8
2
0
.
3
2
0
.
0
0
7
.
9
9
6
.
4
8
0
.
5
5
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
4
9
9
.
6
4
8
8
+
5
7
.
2
7
2
7
.
6
1
0
.
3
5
0
.
0
2
8
.
6
5
6
.
6
8
0
.
4
7
0
.
0
0
0
.
0
1
0
.
0
0
0
.
0
4
1
0
1
.
1
0
8
0
+
5
7
.
4
6
2
8
.
1
3
0
.
2
9
0
.
0
1
8
.
4
7
6
.
8
0
0
.
4
7
0
.
0
0
0
.
0
0
0
.
0
2
0
.
1
8
1
0
1
.
8
3
9
6
7
.
1
2
1
5
.
8
3
1
.
5
7
0
.
3
0
1
.
1
3
4
.
5
6
5
.
0
1
0
.
3
3
0
.
0
1
0
.
0
0
0
.
1
5
9
6
.
0
1
W
h
o
l
e
1
0
8
5
6
.
6
0
2
8
.
0
4
0
.
3
3
0
.
0
1
8
.
8
7
6
.
3
6
0
.
4
7
0
.
0
9
0
.
0
0
0
.
0
2
0
.
0
9
1
0
0
.
8
8
G
r
a
i
n
1
0
N
8
5
7
.
5
4
2
7
.
9
8
0
.
3
4
0
.
0
2
8
.
5
8
6
.
6
5
0
.
4
6
0
.
0
5
0
.
0
0
0
.
0
2
0
.
1
1
1
0
1
.
7
5
1
0
N
c
5
6
.
4
1
2
7
.
9
3
0
.
2
8
0
.
0
3
8
.
9
0
6
.
4
0
0
.
4
6
0
.
1
1
0
.
0
0
0
.
0
4
0
.
1
7
1
0
0
.
7
3
1
1
8
5
7
.
1
3
2
7
.
3
2
0
.
3
6
0
.
0
3
8
.
4
2
6
.
6
1
0
.
5
0
0
.
0
8
0
.
0
2
0
.
0
0
0
.
1
3
1
0
0
.
6
0
1
1
c
5
3
.
8
1
2
9
.
6
4
0
.
4
0
0
.
0
2
1
0
.
9
9
5
.
2
9
0
.
2
8
0
.
0
8
0
.
0
2
0
.
0
4
0
.
1
3
1
0
0
.
7
0
1
2
8
5
5
.
6
2
2
7
.
8
3
0
.
3
3
0
.
1
9
9
.
2
5
6
.
2
5
0
.
4
8
0
.
0
7
0
.
0
0
0
.
0
4
0
.
1
4
1
0
0
.
2
0
1
2
c
5
6
.
3
4
2
7
.
5
4
0
.
3
7
0
.
0
3
8
.
4
9
6
.
4
0
0
.
5
8
0
.
0
8
0
.
0
6
0
.
0
0
0
.
1
8
1
0
0
.
0
7
1
3
8
5
7
.
2
1
2
6
.
0
2
0
.
3
8
0
.
1
8
7
.
6
2
7
.
3
2
0
.
6
7
0
.
1
0
0
.
0
3
0
.
0
4
0
.
2
4
9
9
.
8
1
1
3
c
5
7
.
5
0
2
6
.
0
7
0
.
3
1
0
.
0
2
7
.
4
6
6
.
9
7
0
.
7
4
0
.
0
8
0
.
0
4
0
.
0
4
0
.
2
4
9
9
.
4
7
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
7
C
)
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
m
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
I
P
o
e
.
8
1
0
2
A
1
2
0
3
F
e
O
M
g
o
C
a
O
N
a
2
0
:
2
0
T
1
0
2
M
a
c
8
2
0
5
3
.
0
T
o
t
a
l
R
2
3
-
2
7
T
h
i
n
1
4
8
5
9
.
7
9
2
8
.
7
0
0
.
3
3
0
.
0
1
8
.
3
7
6
.
9
7
0
.
5
0
0
.
0
6
0
.
0
0
0
.
0
0
0
.
1
6
1
0
4
.
8
9
S
e
c
t
i
o
n
1
4
c
5
7
.
3
1
2
7
.
8
1
0
.
3
4
0
.
0
0
8
.
7
4
6
.
2
3
0
.
4
9
0
.
0
5
0
.
0
0
0
.
0
0
0
.
1
7
1
0
1
.
1
4
1
5
8
5
4
.
2
4
2
6
.
8
0
0
.
3
1
0
.
0
0
8
.
5
9
6
.
3
9
0
.
4
7
0
.
0
7
0
.
0
0
0
.
0
4
0
.
1
0
9
7
.
0
1
1
5
c
5
5
.
8
0
2
7
.
0
0
0
.
3
3
0
.
0
0
8
.
7
2
6
.
4
0
0
.
5
0
0
.
0
6
0
.
0
0
0
.
0
0
0
.
0
7
9
8
.
8
8
1
6
8
5
6
.
0
3
2
8
.
0
6
0
.
3
6
0
.
0
0
9
.
6
7
6
.
0
2
0
.
4
2
0
.
0
9
0
.
0
4
0
.
0
5
0
.
1
0
1
0
0
.
8
4
1
7
8
+
5
6
.
5
8
2
7
.
1
1
0
.
3
8
0
.
0
0
9
.
0
3
5
.
9
6
0
.
4
1
0
.
0
6
0
.
0
3
0
.
0
2
0
.
1
3
9
9
.
7
1
1
7
c
+
5
5
.
5
8
2
9
.
0
2
0
.
3
9
0
.
4
5
1
0
8
0
5
.
4
7
0
.
3
2
0
.
0
7
0
.
0
3
0
.
0
6
0
.
1
0
1
0
2
.
2
9
1
8
8
5
2
.
3
7
2
5
.
1
9
1
.
9
3
0
.
0
0
9
.
4
6
5
.
3
5
0
.
4
3
0
.
2
3
0
.
3
8
0
.
3
8
0
.
0
8
9
5
.
8
0
R
2
1
-
l
G
r
a
i
n
1
8
6
1
.
9
4
2
0
.
1
3
0
.
8
4
0
.
0
0
0
.
4
2
3
.
8
6
9
.
9
5
0
.
0
7
0
.
0
0
0
.
0
5
1
.
1
6
9
8
.
4
2
M
o
u
n
t
2
8
6
2
.
9
6
1
9
.
3
7
0
.
1
2
0
.
0
0
0
.
3
5
3
.
9
7
1
0
.
0
2
0
.
0
5
0
.
0
2
0
.
0
0
0
.
4
0
9
7
.
2
6
3
8
6
3
.
1
3
1
8
.
9
6
0
.
0
7
0
.
0
0
0
.
2
1
3
.
6
5
1
0
.
4
7
0
.
0
0
0
.
0
2
0
.
0
0
0
.
1
0
9
6
.
6
1
4
8
6
3
.
5
1
1
9
.
0
6
0
.
1
2
0
.
0
0
0
.
2
7
3
.
8
5
1
0
.
6
5
0
.
0
2
0
.
0
0
0
.
0
0
0
.
1
6
9
7
.
6
4
4
c
6
4
.
2
4
1
9
.
2
0
0
.
1
5
0
.
0
0
0
.
2
6
3
.
7
8
1
0
.
6
1
0
.
0
5
0
.
0
0
0
.
0
0
0
.
1
3
9
8
.
4
2
5
8
6
1
.
9
1
1
9
.
0
7
0
.
1
3
0
.
0
0
0
.
3
7
3
.
7
9
9
.
9
3
0
.
0
5
0
.
0
0
0
.
0
0
0
.
6
4
9
5
.
8
9
6
8
6
3
.
0
7
1
9
.
1
1
0
.
1
1
0
.
0
0
0
.
1
8
3
.
6
5
1
0
.
5
3
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
5
9
6
.
7
2
7
8
6
2
.
2
6
1
9
.
3
8
0
.
1
5
0
.
0
0
0
.
5
6
4
.
0
5
9
.
4
5
0
.
0
5
0
.
0
5
0
.
0
0
1
.
0
2
9
6
.
9
7
8
8
5
9
.
3
0
2
4
.
3
4
0
.
1
4
0
.
0
2
5
.
4
2
7
.
7
6
1
.
3
7
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
2
9
8
.
4
2
9
8
6
0
.
0
0
2
4
.
2
2
0
.
2
1
0
.
0
0
4
.
8
9
8
.
0
4
1
.
5
6
0
.
0
0
0
.
0
0
0
.
1
1
0
.
0
6
9
9
.
0
9
1
0
c
5
8
.
8
3
2
5
.
3
6
0
.
2
3
0
.
0
0
6
.
1
1
7
.
6
6
1
.
1
9
0
.
0
0
0
.
0
1
0
.
0
0
0
.
1
5
9
9
.
5
4
1
1
8
5
0
.
7
8
2
5
.
0
4
0
.
3
1
0
.
0
0
7
.
0
7
6
.
8
4
0
.
8
1
0
.
0
3
0
.
0
3
0
.
0
0
0
.
2
0
9
1
.
1
1
1
1
c
5
9
.
6
8
2
4
.
7
1
0
.
1
8
0
.
0
1
5
.
4
0
7
.
6
6
1
.
5
2
0
.
0
1
0
.
0
0
0
.
0
0
0
.
2
3
9
9
.
4
0
1
2
8
5
9
.
8
3
2
3
.
7
4
0
.
1
6
0
.
0
0
4
.
5
6
7
.
6
7
1
.
5
9
0
.
0
0
0
.
0
5
0
.
0
0
0
.
1
0
9
7
.
7
0
1
3
8
5
9
.
8
7
2
3
.
8
1
0
.
1
6
0
.
0
0
4
.
7
9
7
.
8
0
1
.
5
6
0
.
0
0
0
.
0
0
0
.
0
2
0
.
2
0
9
8
.
2
1
1
4
8
+
6
0
.
1
3
2
3
.
8
0
0
.
1
1
0
.
0
0
4
.
7
3
7
.
9
7
1
.
5
2
0
.
0
0
0
.
0
2
0
.
0
0
0
.
0
9
9
8
.
3
7
1
4
0
+
5
8
.
3
4
2
5
.
0
1
0
.
1
2
0
.
0
0
6
.
4
5
7
.
2
0
1
.
0
2
0
.
0
0
0
.
0
7
0
.
0
0
0
.
2
1
9
8
.
4
2
1
5
8
+
6
1
.
4
3
2
4
.
4
9
0
.
1
6
0
.
0
0
4
.
9
2
7
.
9
0
1
.
5
3
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
7
1
0
0
.
5
0
1
6
c
+
6
3
.
1
1
1
9
.
1
3
0
.
0
3
0
.
0
0
0
.
3
3
3
.
9
4
1
0
8
2
0
.
0
0
0
.
0
5
0
.
0
8
0
.
4
4
9
7
.
9
3
2
7
1
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
m
e
s
a
m
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
T
y
p
e
0
P
O
I
.
8
1
0
2
“
2
0
3
’
0
0
5
5
9
0
C
3
0
"
.
2
0
‘
2
0
1
1
0
2
“
1
0
P
2
0
5
B
I
O
T
o
t
a
l
 
8
2
1
-
1
3
G
r
a
i
n
1
E
5
5
.
7
1
2
9
.
3
8
0
.
2
9
0
.
0
0
1
0
.
0
3
5
.
7
4
0
.
3
7
0
.
0
2
0
.
0
2
0
.
0
6
0
.
0
8
1
0
1
.
7
0
M
o
u
n
t
1
C
5
2
.
2
9
3
0
.
3
1
0
.
3
8
0
.
0
0
1
1
.
7
6
4
.
6
5
0
.
2
5
0
.
0
2
0
.
0
6
0
.
0
6
0
.
0
0
9
9
.
7
8
2
E
5
4
.
5
5
2
8
.
0
5
0
.
2
9
0
.
0
0
9
.
3
4
5
.
4
5
0
.
3
9
0
.
0
3
0
.
0
4
0
.
0
0
0
.
0
4
9
8
.
1
8
2
C
5
3
.
0
0
3
0
.
0
7
0
.
3
7
0
.
0
0
1
1
.
4
2
4
.
5
5
0
.
2
8
0
.
0
1
0
.
0
0
0
.
0
4
0
.
0
2
9
9
.
7
6
3
E
5
3
.
4
3
2
6
.
8
2
0
.
4
9
0
.
0
0
9
.
1
2
5
.
2
4
0
.
3
8
0
.
0
2
0
.
0
0
0
.
0
5
0
.
0
5
9
5
.
6
0
3
C
5
1
.
9
8
3
1
.
2
5
0
.
3
7
0
.
0
3
1
2
.
0
1
4
.
3
7
0
.
2
7
0
.
0
7
0
.
0
0
0
.
0
6
0
.
0
7
1
0
0
.
4
8
4
E
5
3
.
2
9
3
0
.
0
9
0
.
3
7
0
.
0
1
1
1
.
5
0
4
.
6
2
0
.
2
5
0
.
0
0
0
.
0
0
0
.
0
6
0
.
0
3
1
0
0
.
2
2
4
C
5
2
.
4
6
3
0
.
1
1
0
.
4
3
0
.
0
2
1
1
.
3
7
4
.
5
6
0
.
3
0
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
0
9
9
.
2
9
5
E
5
1
.
1
7
2
8
.
0
8
0
.
3
5
0
.
0
0
1
0
.
6
6
4
.
8
6
0
.
3
4
0
.
0
2
0
.
0
4
0
.
0
0
0
.
0
3
9
5
.
5
5
5
C
4
8
.
8
1
3
2
.
5
3
0
.
3
9
0
.
0
3
1
4
.
4
2
3
.
2
1
0
.
1
4
0
.
0
0
0
.
0
0
0
.
0
9
0
.
0
3
9
9
.
6
5
Z
o
n
e
d
1
E
5
0
.
5
8
2
6
.
6
9
0
.
4
7
0
.
0
4
9
.
8
0
4
.
6
7
0
.
4
0
0
.
0
8
0
.
0
3
0
.
0
0
0
.
1
1
9
2
.
8
7
P
l
a
g
1
N
E
5
0
.
5
7
3
0
.
4
1
0
.
5
3
0
.
0
5
1
2
.
0
3
4
.
3
5
0
.
2
4
0
.
0
5
0
.
0
0
0
.
0
4
0
.
0
9
9
8
.
3
6
G
r
a
i
n
1
C
4
8
.
0
2
3
3
.
2
3
0
.
6
7
0
.
0
7
1
5
.
0
5
2
.
8
8
0
.
1
1
0
.
0
8
0
.
0
0
0
.
0
0
0
.
0
4
1
0
0
.
1
5
1
N
C
4
7
.
6
9
3
2
.
4
4
0
.
5
6
0
.
0
6
1
5
.
0
8
2
.
8
3
0
.
1
8
0
.
0
4
0
.
0
0
0
.
0
9
0
.
0
7
9
9
.
0
4
1
N
E
4
8
.
5
3
3
2
.
4
7
0
.
4
9
0
.
0
6
1
4
.
9
1
3
.
0
3
0
.
1
4
0
.
0
3
0
.
0
0
0
.
1
1
0
.
0
3
9
9
.
8
0
R
2
1
-
5
G
r
a
i
n
l
E
3
8
.
1
7
1
6
.
5
2
0
.
2
7
0
.
0
0
3
.
2
5
7
.
2
5
1
.
6
2
0
.
0
2
0
.
0
3
0
.
0
8
0
.
0
5
6
7
.
2
6
M
o
u
n
t
2
E
6
1
.
9
9
2
3
.
0
9
0
.
2
3
0
.
0
0
3
.
9
8
8
.
4
4
1
.
6
2
0
.
0
2
0
.
0
0
0
.
0
2
0
.
0
9
9
9
.
4
8
3
E
6
2
.
6
3
2
3
.
1
9
0
.
2
5
0
.
0
0
3
.
9
7
8
.
4
6
1
.
6
2
0
.
0
8
0
.
0
0
0
.
0
0
0
.
0
0
1
0
0
.
2
0
4
E
6
1
.
3
8
2
2
.
5
0
0
.
2
1
0
.
0
0
3
.
6
0
8
.
5
3
1
.
6
7
0
.
0
3
0
.
0
4
0
.
0
0
0
.
0
6
9
8
.
0
2
4
C
5
5
.
3
6
2
8
.
3
2
0
.
1
6
0
.
0
0
9
.
3
9
6
.
1
9
0
.
4
5
0
.
0
1
0
.
0
4
0
.
0
2
0
.
1
4
1
0
0
.
0
8
5
E
6
2
.
9
8
2
4
.
0
4
0
.
2
7
0
.
0
0
4
.
1
5
8
.
6
3
1
.
6
7
0
.
0
2
0
.
0
3
0
.
0
2
0
.
0
9
1
0
1
.
9
0
5
C
6
0
.
5
6
2
3
.
5
4
0
.
2
5
0
.
0
0
4
.
5
0
8
.
2
8
1
.
3
6
0
.
0
0
0
.
0
2
0
.
0
5
0
.
0
2
9
8
.
5
8
6
E
6
2
.
6
7
2
3
.
5
3
0
.
2
6
0
.
0
0
4
.
2
0
8
.
4
4
1
.
5
6
0
.
0
2
0
.
0
4
0
.
0
4
0
.
0
6
1
0
0
.
8
2
6
C
6
1
.
5
5
2
3
.
6
4
0
.
1
9
0
.
0
0
4
.
2
6
8
.
6
2
1
.
5
7
0
.
0
0
0
.
0
2
0
.
0
0
0
.
0
0
9
9
.
8
5
7
E
6
2
.
5
0
2
3
.
4
8
0
.
2
8
0
.
0
0
4
.
1
0
8
.
5
2
1
.
5
8
0
.
0
0
0
.
0
2
0
.
0
8
0
.
0
2
1
0
0
.
5
8
7
C
5
7
.
2
7
2
7
.
2
4
0
.
5
1
0
.
0
0
8
.
2
7
6
.
9
5
0
.
5
6
0
.
0
1
0
.
0
4
0
.
0
0
0
.
0
7
1
0
0
.
9
2
8
E
6
1
.
8
7
2
2
.
5
9
0
.
2
9
0
.
0
0
3
.
7
9
8
.
5
8
1
.
6
0
0
.
0
2
0
.
0
8
0
.
0
0
0
.
0
0
9
8
.
8
2
9
E
6
1
.
5
3
2
3
.
6
4
0
.
2
7
0
.
0
0
3
.
8
9
8
.
6
4
1
.
6
6
0
.
0
2
0
.
0
1
0
.
0
6
0
.
1
0
9
9
.
8
2
1
0
E
6
2
.
1
1
2
3
.
4
1
0
.
2
0
0
.
0
0
4
.
0
4
8
.
1
3
1
.
5
8
0
.
0
0
0
.
2
4
0
.
1
0
0
.
0
0
9
9
.
8
1
1
1
E
6
1
.
8
6
2
3
.
1
1
0
.
2
6
0
.
0
0
3
.
7
7
8
.
5
5
1
.
7
4
0
.
0
4
0
.
0
3
0
.
0
0
0
.
0
4
9
9
.
4
0
1
1
N
E
6
1
.
2
3
2
4
.
4
2
0
.
2
4
0
.
0
0
4
.
7
5
7
.
9
7
1
.
2
9
0
.
0
2
0
.
0
4
0
.
0
5
0
.
0
0
1
0
0
.
0
1
6
2
.
2
1
2
3
.
6
9
0
.
8
4
0
.
0
0
3
.
9
2
8
.
5
9
1
.
5
9
0
.
0
2
0
.
0
4
0
.
0
0
0
.
0
7
1
0
0
.
9
7
H
H
O
2
7
2
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
m
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
T
y
p
e
8
P
o
e
.
8
1
0
2
1
1
2
0
3
S
e
c
5
6
9
0
C
a
O
N
a
2
0
K
2
0
T
1
0
2
5
1
:
1
0
2
2
0
5
S
a
c
T
o
t
a
l
 
8
2
1
-
5
G
r
a
i
n
1
2
E
6
3
.
1
8
1
9
.
0
9
0
.
0
7
0
.
0
0
0
.
2
9
3
.
9
2
1
0
.
0
6
0
.
0
0
0
.
0
2
0
.
0
0
0
.
1
7
9
6
.
8
0
M
o
u
n
t
1
3
E
6
3
.
8
7
1
9
.
4
5
0
.
1
3
0
.
0
0
0
.
3
1
4
.
0
3
9
.
8
7
0
.
0
5
0
.
0
0
0
.
0
4
0
.
3
0
9
8
.
0
5
1
4
E
6
2
.
8
3
1
9
.
2
7
0
.
1
2
0
.
0
0
0
.
3
4
4
.
0
6
9
.
8
1
0
.
0
0
0
.
0
0
0
.
0
4
0
.
0
8
9
6
.
5
5
1
5
E
6
2
.
5
4
1
8
.
6
9
0
.
1
0
0
0
0
0
.
2
6
3
.
9
7
9
.
7
5
0
.
0
0
0
.
0
0
0
.
0
0
0
.
1
0
9
5
.
4
1
1
6
E
6
2
.
3
1
1
9
.
0
6
0
.
1
3
0
0
0
0
.
3
5
3
.
9
3
9
.
9
2
0
.
0
1
0
.
0
0
0
.
0
4
0
.
0
7
9
5
.
8
2
1
7
E
6
2
.
8
3
1
9
.
0
7
0
.
1
7
0
.
0
0
0
.
3
2
4
.
0
0
1
0
.
0
4
0
.
0
3
0
.
0
2
0
.
0
5
0
.
1
4
9
6
.
6
7
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
7
3
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
o
I
P
o
e
.
3
1
0
2
1
1
2
0
3
F
e
O
M
g
O
C
a
O
N
a
2
0
x
2
0
T
1
0
2
M
n
O
9
2
0
5
S
a
c
T
o
t
a
l
A
5
-
3
G
r
a
i
n
1
E
6
5
.
4
0
1
9
.
5
3
0
.
1
4
0
.
0
0
0
.
3
7
5
.
5
4
8
.
5
3
0
.
0
4
0
.
0
1
0
.
0
0
0
.
0
3
9
9
.
5
9
M
o
u
n
t
1
C
6
6
.
2
6
1
9
.
5
4
0
.
1
4
0
.
0
0
0
.
3
5
5
.
3
5
8
.
5
9
0
.
0
3
0
.
0
0
0
.
0
2
0
.
0
0
1
0
0
.
2
8
2
E
6
2
.
9
8
1
8
.
7
0
0
.
2
4
0
.
0
3
0
.
3
3
5
.
6
4
8
.
4
2
0
.
0
6
0
.
0
4
0
.
0
5
0
.
2
0
9
6
.
6
9
2
C
5
4
.
3
1
2
5
.
9
7
0
.
2
3
0
.
0
5
7
.
7
9
6
.
7
8
0
.
4
3
0
.
0
6
0
.
0
5
0
.
0
1
0
.
2
1
9
5
.
8
9
A
5
-
3
5
G
r
a
i
n
1
E
6
2
.
0
3
1
9
.
2
5
0
.
1
6
0
.
0
0
0
.
4
4
5
.
2
6
8
.
6
4
0
.
0
3
0
.
0
2
0
.
0
0
0
.
1
6
9
5
.
9
9
M
o
u
n
t
2
E
6
3
.
0
1
1
8
.
7
4
0
.
1
6
0
.
0
0
0
.
4
4
5
.
1
7
8
.
8
7
0
.
0
2
0
.
0
0
0
.
0
5
0
.
1
6
9
6
.
6
2
3
E
6
4
.
3
4
1
8
.
8
6
0
.
1
6
0
.
0
0
0
.
3
2
5
.
3
0
9
.
0
3
0
.
0
6
0
.
0
0
0
.
0
0
0
.
0
0
9
8
.
0
7
4
E
6
2
.
6
6
1
9
.
1
7
0
.
1
7
0
.
0
0
0
.
5
4
4
.
9
9
8
.
5
9
0
.
0
3
0
.
0
0
0
.
0
5
0
.
4
7
9
6
.
6
7
5
E
6
7
.
8
4
1
2
.
2
2
0
.
6
6
0
.
0
6
0
.
3
4
3
.
6
5
5
.
1
1
0
.
1
4
0
.
0
2
0
.
0
6
0
.
0
3
9
0
.
1
3
6
E
6
4
.
0
7
1
9
.
3
5
0
.
1
3
0
.
0
0
0
.
3
6
5
.
1
1
8
.
9
2
0
.
0
3
0
.
0
0
0
.
0
7
0
.
0
7
9
8
.
1
1
7
E
6
1
.
5
5
1
8
.
8
6
0
.
1
5
0
.
0
0
0
.
4
8
5
.
0
0
9
.
1
1
0
.
0
4
0
.
0
3
0
.
0
4
0
.
2
9
9
5
.
5
5
8
E
6
4
.
2
1
1
9
.
4
8
0
.
1
6
0
.
0
0
0
.
4
9
5
.
2
5
8
.
8
1
0
.
0
4
0
.
0
0
0
.
0
0
0
.
1
8
9
8
.
6
2
9
E
6
3
.
9
1
1
8
.
8
3
0
.
0
9
0
.
0
0
0
.
3
7
5
.
0
3
9
.
1
1
0
.
0
0
0
.
0
0
0
.
0
2
0
.
2
4
9
7
.
6
0
9
E
6
0
.
7
0
1
8
.
3
5
0
.
1
4
0
.
3
0
0
.
4
1
4
.
7
3
8
.
6
2
0
.
0
5
0
.
0
3
0
.
0
8
0
.
1
3
9
3
.
5
4
9
N
E
6
3
.
8
2
1
9
.
1
9
0
.
1
5
0
.
0
0
0
.
3
8
5
.
0
6
9
.
0
8
0
.
0
2
0
.
0
3
0
.
0
7
0
.
0
7
9
7
.
8
7
9
C
6
3
.
7
6
1
9
.
3
7
0
.
1
6
0
.
0
0
0
.
3
2
5
.
0
2
9
.
2
0
0
.
0
6
0
.
0
5
0
.
0
7
0
.
0
7
9
8
.
0
8
1
0
E
5
6
.
4
3
2
6
.
5
5
0
.
2
4
0
.
0
0
7
.
5
6
6
.
7
9
0
.
4
6
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
8
9
8
.
1
1
1
0
E
5
5
.
9
1
2
6
.
7
5
0
.
3
1
0
.
0
0
7
.
6
1
6
.
8
9
0
.
4
5
0
.
0
5
0
.
0
4
0
.
0
0
0
.
0
8
9
8
.
0
9
1
0
N
E
5
8
.
1
5
2
5
.
2
4
0
.
2
9
0
.
0
0
6
.
1
8
7
.
4
7
0
.
7
4
0
.
0
4
0
.
0
3
0
.
0
0
0
.
2
5
9
8
.
3
9
1
0
C
5
7
.
4
1
2
4
.
6
2
0
.
2
6
0
.
0
0
6
.
3
0
7
.
2
0
0
.
7
3
0
.
0
3
0
.
0
4
0
.
1
4
0
.
2
6
9
6
.
9
9
A
S
-
S
B
G
r
a
i
n
1
E
6
2
.
8
3
2
1
.
1
3
0
.
2
5
0
.
0
0
1
.
7
4
7
.
5
3
4
.
6
8
0
.
0
0
0
.
0
0
0
.
0
4
0
.
1
5
9
8
.
3
5
M
o
u
n
t
2
E
6
3
.
2
6
2
0
.
1
0
0
.
2
2
0
.
0
0
0
.
9
6
6
.
0
4
7
.
5
5
0
.
0
2
0
.
0
2
0
.
0
8
0
.
3
8
9
8
.
6
3
3
E
6
4
.
2
3
1
9
.
8
3
0
.
1
9
0
.
0
0
0
.
7
4
6
.
1
6
7
.
6
9
0
.
0
0
0
.
0
0
0
.
0
0
0
.
2
3
9
9
.
0
7
4
E
6
3
.
0
0
1
9
.
5
9
0
.
2
6
0
.
0
0
0
.
5
0
5
.
6
5
8
.
4
2
0
.
0
0
0
.
0
0
0
.
1
2
0
.
3
7
9
7
.
9
1
5
E
6
3
.
0
2
1
9
.
3
7
0
.
2
1
0
.
0
0
0
.
6
5
5
.
5
7
8
.
0
6
0
.
0
6
0
.
0
0
0
.
0
7
0
.
0
8
9
7
.
0
9
6
E
5
8
.
4
2
2
2
.
5
9
0
.
3
6
0
.
0
0
4
.
4
6
7
.
9
5
1
.
3
4
0
.
0
3
0
.
0
4
0
.
0
4
0
.
1
0
9
5
.
3
3
6
N
E
6
0
.
3
8
2
3
.
9
2
0
.
3
0
0
.
0
1
4
.
8
4
7
.
8
1
1
.
3
1
0
.
0
3
0
.
0
3
0
.
0
4
0
.
0
9
9
8
.
7
6
6
C
5
5
.
4
7
2
7
.
4
2
0
.
4
1
0
.
0
2
8
.
4
2
6
.
5
8
0
.
5
3
0
.
0
0
0
.
0
0
0
.
0
7
0
.
1
0
9
9
.
0
2
2
7
4
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
F
E
L
D
S
P
A
R
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
T
y
p
e
9
P
o
e
.
8
1
0
2
A
1
2
0
3
P
e
O
M
g
O
C
a
O
N
a
2
0
K
2
0
T
1
0
2
l
i
n
o
P
2
0
5
B
a
O
T
o
t
a
l
 
A
5
-
6
3
G
r
a
i
n
1
E
3
5
.
8
2
1
4
.
6
0
1
2
.
3
3
1
5
.
3
0
0
.
1
4
0
.
8
8
8
.
6
7
7
.
0
3
0
.
2
0
0
.
0
0
1
.
9
6
9
6
.
9
3
M
o
u
n
t
1
C
3
6
.
1
0
1
4
.
6
1
1
2
.
7
9
1
5
.
0
3
0
.
0
6
0
.
8
5
8
.
4
9
7
.
0
0
0
.
2
1
0
.
0
5
1
.
6
2
9
6
.
8
1
2
E
3
4
.
6
0
1
4
.
7
9
1
2
.
8
6
1
4
.
7
1
0
.
0
8
0
.
7
8
7
.
9
2
7
.
1
8
0
.
1
8
0
.
0
5
3
.
0
3
9
6
.
1
8
3
E
5
8
.
2
5
2
6
.
3
0
0
.
3
2
0
.
0
1
6
.
7
8
6
.
7
9
1
.
2
7
0
.
0
0
0
.
0
3
0
.
0
7
0
.
3
4
1
0
0
.
1
6
3
C
5
8
.
0
2
2
5
.
8
9
0
.
4
0
0
.
0
0
6
.
7
7
6
.
9
0
1
.
3
0
0
.
0
3
0
.
0
0
0
.
0
0
0
.
4
7
9
9
.
7
8
4
E
5
7
.
3
6
2
5
.
7
5
0
.
3
6
0
.
0
1
6
.
9
8
6
.
5
8
1
.
2
3
0
.
0
4
0
.
0
0
0
.
0
7
0
.
3
2
9
8
.
7
0
4
C
5
7
.
8
1
2
6
.
0
9
0
.
3
1
0
.
0
0
7
.
1
8
6
.
4
5
1
.
2
0
0
.
0
1
0
.
0
0
0
.
1
3
0
.
3
9
9
9
.
5
7
5
E
5
6
.
8
4
2
4
.
9
8
0
.
4
3
0
.
0
1
6
.
5
8
6
.
3
6
1
.
2
4
0
.
0
2
0
.
0
2
0
.
0
0
0
.
2
7
9
6
.
7
5
5
C
5
8
.
3
7
2
5
.
4
9
0
.
3
3
0
.
0
0
6
.
5
7
6
.
9
5
1
.
2
7
0
.
0
2
0
.
0
4
0
.
0
6
0
.
3
9
9
9
.
4
9
6
E
5
4
.
6
3
2
4
.
0
3
0
.
3
6
0
.
0
0
6
.
5
2
6
.
9
7
1
.
3
3
0
.
0
2
0
.
0
0
0
.
0
0
0
.
4
4
9
4
.
3
0
7
E
5
7
.
2
3
2
6
.
3
0
0
.
3
8
0
.
0
3
6
.
9
5
6
.
7
7
1
.
0
8
0
.
0
5
0
.
0
0
0
.
0
8
0
.
3
7
9
9
.
2
4
7
C
5
6
.
6
9
2
6
.
4
2
0
.
3
7
0
.
0
0
7
.
1
3
6
.
5
8
1
.
1
0
0
.
0
4
0
.
5
7
0
.
0
0
0
.
3
2
9
9
.
2
2
A
5
-
6
9
G
r
a
i
n
1
E
5
9
.
1
2
2
4
.
5
7
0
.
4
0
0
.
0
0
5
.
3
3
7
.
2
2
1
.
8
1
0
.
0
5
0
.
0
0
0
.
0
0
0
.
4
3
9
8
.
9
3
M
o
u
n
t
1
C
5
9
.
6
1
2
4
.
7
8
0
.
3
7
0
.
0
0
5
.
1
6
7
.
2
1
1
.
8
3
0
.
0
6
0
.
0
0
0
.
0
0
0
.
3
5
9
9
.
3
7
2
E
5
8
.
7
1
2
4
.
6
0
0
.
3
6
0
.
0
0
5
.
3
4
7
.
0
3
1
.
8
1
0
.
0
3
0
.
0
0
0
.
0
0
0
.
2
9
9
8
.
1
7
2
C
5
8
.
8
4
2
4
.
4
4
0
.
4
4
0
.
0
0
5
.
5
3
7
.
1
4
1
.
8
2
0
.
0
6
0
.
0
1
0
.
0
0
0
.
3
2
9
8
.
6
0
3
E
5
7
.
0
0
2
6
.
0
7
0
.
4
3
0
.
0
3
6
.
7
9
6
.
8
8
1
.
1
1
0
.
0
5
0
.
0
0
0
.
0
0
0
.
3
2
9
8
.
6
8
3
C
5
4
.
7
1
2
5
.
5
3
0
.
5
0
0
.
0
2
8
.
3
8
6
.
1
3
0
.
9
2
0
.
0
7
0
.
0
0
0
.
0
0
0
.
2
6
9
6
.
5
2
4
E
5
9
.
5
5
2
4
.
6
7
1
.
1
4
0
.
0
0
5
.
0
9
7
.
6
7
1
.
8
8
0
.
0
9
0
.
9
6
0
.
0
0
0
.
3
0
1
0
1
.
3
5
4
C
5
7
.
6
4
2
5
.
7
9
0
.
5
4
0
.
0
2
6
.
7
4
6
.
7
6
1
.
3
4
0
.
0
7
0
.
0
2
0
.
0
0
0
.
4
4
9
9
.
3
6
5
2
+
5
7
.
5
2
2
5
.
9
6
0
.
4
0
0
.
0
2
7
.
1
1
6
.
9
4
1
.
1
0
0
.
0
7
0
.
0
4
0
.
0
0
0
.
3
0
9
9
.
4
6
5
C
+
5
6
.
7
0
2
5
.
7
2
0
.
4
5
0
.
0
5
6
.
9
4
6
.
6
4
1
.
1
0
0
.
0
6
0
.
0
2
0
.
0
0
0
.
4
1
9
8
.
0
9
6
E
5
8
.
0
0
2
6
.
2
6
0
.
4
6
0
.
0
2
6
.
7
3
6
.
9
0
1
.
1
2
0
.
0
7
0
.
0
0
0
.
0
0
0
.
4
1
9
9
.
9
7
6
C
5
7
.
8
6
2
6
.
2
9
0
.
4
2
0
.
0
1
6
.
5
6
6
.
9
2
1
.
2
8
0
.
0
5
0
.
5
6
0
.
0
0
0
.
2
8
1
0
0
.
2
3
7
E
6
5
.
0
0
1
9
.
4
6
0
.
2
2
0
.
0
0
0
.
3
6
6
.
0
9
8
.
1
7
0
.
0
0
0
.
0
4
0
.
0
0
0
.
0
0
9
9
.
3
4
8
E
6
4
.
2
3
1
9
.
5
4
0
.
2
2
0
.
0
0
0
.
3
5
6
.
0
0
7
.
8
3
0
.
0
1
0
.
0
0
0
.
0
0
0
.
0
6
9
8
.
2
4
9
8
+
6
3
.
8
8
1
9
.
2
8
0
.
2
1
0
.
0
0
0
.
3
6
5
.
8
6
8
.
3
8
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
6
9
8
.
0
7
1
0
E
6
5
.
1
8
1
9
.
7
9
0
.
2
5
0
.
0
1
0
.
4
2
6
.
2
7
7
.
5
7
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
2
9
9
.
5
1
1
1
8
+
5
4
.
3
5
2
9
.
1
1
0
.
4
2
0
.
0
4
9
.
8
1
5
.
6
4
0
.
6
1
0
.
0
7
0
.
0
0
0
.
0
4
0
.
1
9
1
0
0
.
2
8
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
7
5
5
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
I
P
o
e
.
3
1
0
2
1
1
2
0
3
P
e
O
a
g
o
0
.
0
8
.
2
0
K
2
0
T
1
0
2
M
a
c
9
2
0
5
S
a
c
T
o
t
a
l
1
5
-
7
1
G
r
a
i
n
1
8
6
4
.
6
0
2
0
.
5
4
0
.
2
5
0
.
0
0
0
.
9
1
5
.
8
2
8
.
2
6
0
.
1
0
0
.
0
8
0
.
0
0
0
.
2
6
1
0
0
.
8
2
M
o
u
n
t
2
8
6
2
.
1
2
2
1
.
1
9
0
.
3
5
0
.
0
0
2
.
4
4
7
.
5
1
4
.
2
7
0
.
0
7
0
.
0
0
0
.
0
0
0
.
0
7
9
8
.
0
2
2
c
5
8
.
2
3
2
5
.
5
1
0
.
3
6
0
.
0
3
6
.
4
2
7
.
3
4
0
.
9
7
0
.
0
5
0
.
0
0
0
.
0
0
0
.
3
2
9
9
.
2
3
3
8
5
7
.
9
5
2
6
.
5
9
0
.
4
1
0
.
0
3
6
.
8
6
6
.
9
7
1
.
0
1
0
.
0
6
0
.
0
0
0
.
0
5
0
.
3
9
1
0
0
.
3
2
3
c
5
9
.
6
0
2
6
.
4
0
0
.
4
1
0
.
0
3
6
.
3
8
7
.
3
2
1
.
0
7
0
.
0
9
0
.
0
0
0
.
0
3
0
.
1
9
1
0
1
.
5
2
4
8
6
1
.
1
6
2
3
.
9
6
0
.
2
7
0
.
0
3
4
.
8
9
7
.
8
1
1
.
7
5
0
.
0
6
0
.
0
0
0
.
0
0
0
.
3
7
1
0
0
.
3
0
4
c
6
1
.
1
5
2
3
.
9
0
0
.
4
0
0
.
0
3
4
.
6
0
7
.
8
3
1
.
8
2
0
.
0
7
0
.
0
0
0
.
0
0
0
.
2
7
1
0
0
.
0
7
5
8
5
9
.
8
4
2
5
.
7
2
0
.
3
6
0
.
0
0
6
.
1
5
7
.
3
9
0
.
9
9
0
.
0
9
0
.
0
0
0
.
0
0
0
.
3
4
1
0
0
.
8
8
5
c
5
9
.
6
3
2
5
.
1
7
0
.
3
6
0
.
0
3
5
.
8
8
7
.
2
7
1
.
1
0
0
.
0
8
0
.
0
0
0
.
0
0
0
.
2
2
9
9
.
7
4
6
8
6
5
.
3
1
2
0
.
1
5
0
.
3
6
0
.
0
0
0
.
5
6
5
.
1
2
9
.
0
8
0
.
0
5
0
.
0
0
0
.
0
0
0
.
1
6
1
0
0
.
7
9
7
8
6
3
.
7
9
2
0
.
0
6
0
.
2
8
0
.
0
2
0
.
7
9
5
.
3
4
8
.
6
2
0
.
1
3
0
.
0
0
0
.
0
7
0
.
6
5
9
9
.
7
5
8
N
8
5
7
.
4
8
2
6
.
8
9
0
.
9
1
0
.
0
3
7
.
4
3
6
.
9
1
0
.
9
9
0
.
0
8
0
.
0
0
0
.
0
0
0
.
3
8
1
0
1
.
1
0
8
c
5
9
.
3
2
2
5
.
4
9
0
.
4
9
0
.
0
4
5
.
8
1
7
.
4
6
1
.
5
7
0
.
0
8
0
.
0
0
0
.
0
0
0
.
4
0
1
0
0
.
6
6
9
8
6
5
.
9
7
2
0
.
1
2
0
.
2
4
0
.
0
0
0
.
6
5
4
.
9
0
9
.
2
8
0
.
0
2
0
.
0
0
0
.
0
0
0
.
0
0
1
0
1
.
1
8
1
0
8
6
5
.
1
7
2
0
.
0
6
0
.
2
6
0
.
0
0
0
.
7
4
5
.
2
4
8
.
3
9
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
2
9
9
.
9
2
1
1
8
6
4
.
7
4
2
0
.
8
8
0
.
2
1
0
.
0
0
0
.
9
5
5
.
2
6
8
.
7
6
0
.
0
8
0
.
0
0
0
.
0
0
0
.
5
9
1
0
1
.
4
7
1
2
8
6
5
.
9
8
2
0
.
6
7
0
.
2
5
0
.
0
0
0
.
8
7
5
.
4
6
8
.
3
5
0
.
0
4
0
.
0
0
0
.
0
0
0
.
0
7
1
0
1
.
6
9
1
2
c
6
5
.
6
1
2
0
.
3
6
0
.
3
2
0
.
0
0
0
.
8
9
5
.
6
7
8
.
3
9
0
.
0
8
0
.
0
0
0
.
0
0
0
.
0
3
1
0
1
.
3
5
T
h
i
n
1
3
8
6
2
.
5
2
2
1
.
8
6
0
.
3
6
0
.
0
0
2
.
6
2
7
.
0
5
4
.
6
0
0
.
0
6
0
.
0
6
0
.
0
0
0
.
2
3
9
9
.
3
6
S
e
c
t
i
o
n
1
3
c
6
1
.
6
2
2
4
.
0
0
0
.
3
0
0
.
0
0
4
.
1
2
7
.
8
0
2
.
3
2
0
.
0
6
0
.
0
0
0
.
0
4
0
.
2
0
1
0
0
.
4
6
1
4
8
4
8
.
4
4
1
.
0
3
8
.
2
5
1
3
.
0
7
2
1
.
1
6
0
.
5
2
0
.
0
2
0
.
4
0
1
.
3
6
0
.
0
6
0
.
0
2
9
4
.
3
3
1
4
c
5
1
.
8
1
1
.
0
5
7
.
9
4
1
4
.
4
5
2
1
.
7
0
0
.
7
7
0
.
0
0
0
.
4
0
1
.
2
9
0
.
0
8
0
.
0
2
9
9
.
5
1
1
5
8
5
9
.
3
8
2
3
.
9
2
0
.
3
7
0
.
0
0
5
.
0
7
7
.
8
3
1
.
4
5
0
.
0
0
0
.
0
3
0
.
0
8
0
.
0
5
9
8
.
1
8
1
5
c
6
0
.
7
2
2
4
.
3
2
0
.
2
8
0
.
0
0
4
.
7
0
7
.
7
9
1
.
7
7
0
.
0
2
0
.
0
3
0
.
0
0
0
.
0
2
9
9
.
6
5
1
6
8
+
6
3
.
3
6
2
0
.
2
0
0
.
2
2
0
.
0
0
0
.
9
4
5
.
7
4
8
.
0
4
0
.
0
6
0
.
0
3
0
.
0
6
0
.
0
8
9
8
.
7
3
1
6
c
+
6
2
.
6
3
2
0
.
4
5
0
.
2
5
0
.
0
0
0
.
8
8
5
.
8
2
8
.
5
2
0
.
0
6
0
.
0
0
0
.
0
6
0
.
1
0
9
8
.
7
7
1
7
8
6
3
.
3
5
2
0
.
2
5
0
.
2
8
0
.
0
0
0
.
8
8
5
.
7
0
8
.
2
3
0
.
0
6
0
.
0
2
0
.
0
2
0
.
0
6
9
8
.
8
5
1
8
N
8
5
6
.
3
5
2
6
.
8
7
0
.
3
4
0
.
0
0
7
.
9
5
6
.
6
5
0
.
7
0
0
.
0
4
0
.
0
5
0
.
0
4
0
.
2
1
9
9
.
2
0
1
8
c
5
3
.
6
5
2
5
.
0
2
0
.
3
4
0
.
0
0
7
.
1
0
6
.
9
6
0
.
9
4
0
.
0
7
0
.
0
0
0
.
0
7
0
.
1
5
9
4
.
3
0
1
9
N
8
5
8
.
3
5
2
4
.
0
9
0
.
3
6
0
.
0
0
5
.
3
6
7
.
0
7
1
.
3
4
0
.
1
3
0
.
0
3
0
.
0
0
0
.
4
0
9
7
.
1
3
1
9
c
5
8
.
4
6
2
4
.
9
7
0
.
4
6
0
.
0
0
5
.
7
4
7
.
5
9
1
.
2
5
0
.
0
6
0
.
0
0
0
.
0
0
0
.
3
3
9
8
.
8
6
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
7
6
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
m
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
Y
P
.
8
P
O
I
.
3
1
0
2
2
1
2
0
3
'
0
0
“
9
0
0
3
0
"
8
2
0
X
2
0
1
1
0
2
“
h
o
9
2
0
5
3
8
0
2
0
8
2
1
A
5
-
7
2
G
r
a
i
n
1
E
6
1
.
1
3
2
0
.
6
3
0
.
2
6
0
.
0
0
0
.
8
7
4
.
4
9
8
.
3
2
0
.
0
6
0
.
0
0
0
.
0
0
2
.
4
2
9
8
.
1
8
M
o
u
n
t
2
E
5
7
.
8
4
2
3
.
1
5
0
.
3
8
0
.
0
0
5
.
0
1
6
.
4
5
1
.
9
0
0
.
0
0
0
.
0
0
0
.
0
0
0
.
4
0
9
5
.
1
3
2
C
5
6
.
8
2
2
3
.
8
1
0
.
3
1
0
.
0
0
5
.
3
6
6
.
4
7
1
.
6
5
0
.
0
1
0
.
0
0
0
.
0
8
0
.
2
8
9
4
.
7
9
3
E
5
6
.
3
0
2
4
.
2
3
0
.
8
0
0
.
0
0
6
.
2
9
6
.
4
8
1
.
3
2
0
.
0
2
0
.
0
0
0
.
0
0
0
.
2
4
9
5
.
6
8
3
C
5
2
.
9
7
2
6
.
8
5
0
.
3
1
0
.
0
0
8
.
9
5
5
.
1
7
0
.
5
7
0
.
0
0
0
.
0
0
0
.
0
8
0
.
1
4
9
5
.
0
4
4
E
5
9
.
7
5
2
0
.
3
7
0
.
2
2
0
.
0
0
1
.
0
1
4
.
2
9
8
.
0
7
0
.
0
3
0
.
0
0
0
.
0
6
3
.
4
7
9
7
.
2
7
5
E
6
0
.
4
0
2
0
.
5
5
0
.
1
5
0
.
0
0
0
.
8
8
4
.
4
5
8
.
3
1
0
.
0
7
0
.
0
0
0
.
0
8
2
.
8
6
9
7
.
7
5
5
C
6
1
.
3
9
2
0
.
3
4
0
.
2
4
0
.
0
0
0
.
9
2
4
.
2
1
8
.
3
7
0
.
0
6
0
.
0
0
0
.
0
0
2
.
4
4
9
7
.
9
7
6
E
6
1
.
0
2
2
0
.
4
7
0
.
1
9
0
.
0
0
0
.
9
3
4
.
5
0
8
.
2
4
0
.
0
5
0
.
0
0
0
.
0
5
2
.
0
4
9
7
.
4
9
7
E
6
1
.
8
7
2
0
.
3
4
0
.
2
6
0
.
0
0
0
.
7
6
4
.
5
8
8
.
8
8
0
.
0
5
0
.
0
0
0
.
0
2
2
.
1
1
9
8
.
8
7
7
C
6
1
.
4
0
2
0
.
1
3
0
.
2
4
0
.
0
0
0
.
8
0
4
.
2
6
8
.
7
1
0
.
0
4
0
.
0
0
0
.
0
0
2
.
1
0
9
7
.
6
8
8
E
5
6
.
6
6
2
4
.
4
9
0
.
3
7
0
.
0
0
5
.
7
8
6
.
3
8
1
.
4
8
0
.
0
0
0
.
0
0
0
.
0
7
0
.
4
4
9
5
.
6
7
8
C
5
6
.
6
1
2
5
.
2
6
0
.
2
1
0
.
0
0
6
.
6
4
6
.
2
9
1
.
1
5
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
4
9
6
.
2
3
9
E
5
9
.
7
7
2
3
.
4
7
0
.
3
4
0
.
0
0
4
.
7
3
7
.
0
2
2
.
0
4
0
.
0
0
0
.
0
0
0
.
0
5
0
.
2
4
9
7
.
6
6
9
C
5
7
.
7
8
2
4
.
4
9
0
.
3
8
0
.
0
0
5
.
6
2
7
.
2
3
1
.
5
4
0
.
0
3
0
.
0
0
0
.
0
6
0
.
2
8
9
7
.
4
1
1
0
E
5
8
.
5
4
2
1
.
0
7
0
.
2
2
0
.
0
0
1
.
1
0
4
.
2
8
7
.
4
5
0
.
1
2
0
.
0
0
0
.
0
0
4
.
0
0
9
6
.
7
8
1
1
E
5
7
.
2
9
2
5
.
5
7
0
.
3
7
0
.
0
0
6
.
3
6
6
.
7
1
1
.
1
9
0
.
0
0
0
.
0
0
0
.
1
1
0
.
4
3
9
8
.
0
3
1
1
C
5
6
.
5
6
2
7
.
0
2
0
.
3
0
0
.
0
0
7
.
5
9
6
.
0
7
0
.
8
7
0
.
0
0
0
.
0
0
0
.
0
0
0
.
3
7
9
8
.
7
8
A
5
-
7
5
G
r
a
i
n
1
E
5
9
.
1
2
2
8
.
8
1
0
.
2
0
0
.
0
5
8
.
8
5
6
.
0
6
0
.
7
6
0
.
0
4
0
.
0
2
0
.
0
0
0
.
3
4
1
0
4
.
2
5
M
o
u
n
t
1
C
5
6
.
5
2
3
0
.
8
3
0
.
1
7
0
.
0
5
1
1
.
0
9
5
.
2
2
0
.
5
2
0
.
0
5
0
.
0
0
0
.
1
4
0
.
1
9
1
0
4
.
7
8
2
E
5
2
.
3
3
3
5
.
0
7
0
.
3
1
0
.
0
4
1
5
.
4
2
3
.
0
9
0
.
2
1
0
.
0
0
0
.
0
2
0
.
1
0
0
.
0
0
1
0
6
.
5
9
2
C
5
8
.
3
9
2
8
.
5
2
0
.
2
6
0
.
0
4
9
.
7
3
5
.
7
0
0
.
7
5
0
.
0
5
0
.
0
3
0
.
0
3
0
.
2
5
1
0
3
.
7
5
3
E
5
8
.
1
7
2
9
.
4
2
0
.
1
9
0
.
0
3
9
.
6
2
5
.
9
7
0
.
8
2
0
.
0
0
0
.
0
1
0
.
1
1
0
.
1
6
1
0
4
.
5
0
3
C
5
7
.
8
1
2
5
.
8
7
0
.
3
1
0
.
0
4
6
.
9
0
6
.
3
1
1
.
0
3
0
.
0
0
0
.
0
0
0
.
0
2
0
.
3
1
9
8
.
6
0
4
E
5
5
.
0
7
2
6
.
9
9
0
.
2
1
0
.
0
4
8
.
5
1
5
.
6
2
0
.
7
5
0
.
0
1
0
.
0
0
0
.
0
0
0
.
2
2
9
7
.
4
2
4
C
5
6
.
0
1
2
6
.
5
4
0
.
1
8
0
.
0
1
7
.
8
6
6
.
0
5
0
.
9
4
0
.
0
6
0
.
0
0
0
.
0
0
0
.
3
0
9
7
.
9
5
5
E
5
8
.
4
2
2
4
.
5
9
0
.
1
1
0
.
0
2
5
.
3
3
6
.
7
6
1
.
7
9
0
.
0
0
0
.
0
3
0
.
0
7
0
.
3
0
9
7
.
4
2
5
C
5
7
.
8
2
2
5
.
4
1
0
.
1
3
0
.
0
1
6
.
2
4
6
.
6
3
1
.
3
9
0
.
0
3
0
.
0
0
0
.
0
9
0
.
3
4
9
8
.
0
9
6
E
5
8
.
6
0
2
4
.
9
1
0
.
1
4
0
.
0
0
5
.
9
8
6
.
7
0
1
.
5
8
0
.
0
5
0
.
0
0
0
.
0
6
0
.
3
0
9
8
.
3
2
6
C
5
8
.
1
7
2
5
.
2
3
0
.
2
1
0
.
0
0
6
.
2
1
6
.
4
1
1
.
5
2
0
.
0
2
0
.
0
0
0
.
0
9
0
.
2
4
9
8
.
1
0
7
E
5
3
.
7
7
2
7
.
3
5
0
.
1
2
0
.
0
3
8
.
6
3
5
.
4
9
0
.
7
5
0
.
0
0
0
.
0
2
0
.
0
7
0
.
1
5
9
6
.
3
8
8
E
5
4
.
4
3
2
6
.
8
4
0
.
1
8
0
.
0
3
8
.
3
4
5
.
7
9
0
.
8
0
0
.
0
5
0
.
0
0
0
.
0
2
0
.
2
4
9
6
.
7
2
8
C
5
5
.
9
3
2
5
.
9
6
0
.
2
5
0
.
0
3
7
.
8
2
6
.
0
7
0
.
9
3
0
.
0
0
0
.
0
0
0
.
0
9
0
.
2
6
9
7
.
3
4
9
E
5
4
.
2
1
2
8
.
3
6
0
.
2
0
0
.
0
5
9
.
4
8
5
.
1
6
0
.
5
3
0
.
0
3
0
.
0
0
0
.
0
7
0
.
1
8
9
8
.
2
7
2
7
7
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
a
m
b
a
:
 
S
a
m
p
l
e
G
r
a
i
n
T
y
p
e
I
P
o
o
.
8
1
0
2
1
1
2
0
3
3
0
0
K
9
0
C
a
O
N
a
2
0
X
2
0
T
1
0
2
M
n
O
P
2
0
5
B
a
O
T
o
t
a
l
 
1
2
1
-
1
8
G
r
a
i
n
1
E
6
3
.
2
4
1
8
.
6
3
0
.
1
3
0
.
0
0
0
.
3
6
5
.
1
9
8
.
1
2
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
3
9
5
.
7
0
M
o
u
n
t
2
E
6
3
.
1
3
2
0
.
9
8
0
.
1
5
0
.
0
0
1
.
7
5
8
.
4
7
2
.
0
3
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
2
9
6
.
5
3
3
C
5
5
.
7
1
2
6
.
9
6
0
.
1
4
0
.
0
0
7
.
9
2
6
.
3
7
0
.
3
4
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
3
9
7
.
4
7
4
E
6
3
.
4
8
1
9
.
2
5
0
.
1
5
0
.
0
0
0
.
3
7
5
.
5
1
7
.
4
3
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
2
9
6
.
2
3
S
E
6
4
.
7
3
1
9
.
4
7
0
.
1
5
0
.
0
0
0
.
3
7
5
.
5
0
7
.
7
7
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
5
9
8
.
0
9
6
E
6
3
.
1
6
1
9
.
1
6
0
.
1
7
0
.
0
0
0
.
3
9
5
.
2
2
8
.
0
5
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
0
9
6
.
1
5
7
E
6
4
.
7
5
1
9
.
6
1
0
.
1
7
0
.
0
0
0
.
3
1
5
.
3
8
7
.
9
6
0
.
0
0
0
.
0
0
0
.
0
9
0
.
0
0
9
8
.
2
7
8
C
6
4
.
9
2
1
9
.
7
1
0
.
1
2
0
.
0
0
0
.
3
5
5
.
6
1
7
.
8
2
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
3
9
8
.
6
1
9
E
6
4
.
5
2
2
1
.
4
1
0
.
1
9
0
.
0
0
2
.
0
5
9
.
2
7
1
.
8
2
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
3
9
9
.
2
9
9
C
6
4
.
3
5
2
1
.
3
6
0
.
1
8
0
.
0
0
2
.
1
2
8
.
9
3
1
.
8
0
0
.
0
0
0
.
8
4
0
.
0
0
0
.
0
5
9
9
.
6
3
 
F
E
L
D
S
P
A
R
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
 
A
m
m
o
n
i
a
T
a
n
k
s
m
a
m
b
o
:
 
S
a
m
p
l
e
G
r
a
i
n
T
y
p
e
#
P
o
s
.
$
1
0
2
A
1
2
0
3
r
a
o
C
a
O
N
a
2
0
:
2
0
a
g
o
T
o
t
a
l
 
A
4
-
7
0
T
h
i
n
1
E
6
3
.
3
0
1
9
.
4
0
0
.
1
6
0
.
4
6
5
.
3
2
8
.
9
0
0
.
0
6
9
7
.
5
9
S
e
c
.
2
E
6
2
.
9
4
1
9
.
7
1
0
.
2
9
0
.
3
8
5
.
0
2
9
.
0
5
1
.
5
4
9
8
.
9
3
3
E
6
4
.
5
2
1
9
.
4
4
0
.
1
7
0
.
4
5
5
.
3
8
8
.
8
7
0
.
2
0
9
9
.
0
2
3
C
5
8
.
1
9
2
5
.
9
9
0
.
3
1
7
.
3
6
7
.
4
1
0
.
5
4
0
.
1
5
9
9
.
9
5
4
E
6
4
.
9
0
1
9
.
7
2
0
.
3
1
0
.
5
2
5
.
5
1
8
.
9
3
0
.
1
4
1
0
0
.
0
4
5
E
6
3
.
5
5
2
1
.
4
4
0
.
2
8
2
.
4
3
8
.
4
3
3
.
1
5
0
.
1
1
9
9
.
3
9
6
E
6
4
.
8
0
1
9
.
3
1
0
.
1
6
0
.
4
6
5
.
4
1
8
.
8
1
0
.
2
0
9
9
.
1
4
7
E
6
1
.
6
2
2
1
.
8
2
0
.
2
6
2
.
9
1
8
.
9
6
1
.
5
6
0
.
2
0
9
7
.
3
4
A
5
-
9
T
h
i
n
1
E
6
2
.
0
4
1
8
.
9
7
0
.
3
2
0
.
6
4
4
.
7
6
7
.
6
1
0
.
2
0
9
4
.
5
4
S
e
c
.
2
E
6
3
.
0
4
1
9
.
2
7
0
.
3
3
0
.
6
2
5
.
6
3
8
.
4
0
0
.
1
4
9
7
.
4
4
2
C
6
3
.
6
5
1
9
.
2
3
0
.
2
8
0
.
5
4
5
.
3
8
8
.
6
1
0
.
2
8
9
7
.
9
6
3
E
6
2
.
0
9
2
1
.
3
4
0
.
4
3
2
.
7
7
8
.
6
0
1
.
9
3
0
.
1
2
9
7
.
2
8
4
E
6
3
.
1
5
1
9
.
4
6
0
.
3
5
0
.
6
7
5
.
6
2
8
.
2
4
0
.
1
7
9
7
.
6
6
4
C
5
9
.
8
5
2
3
.
5
8
0
.
3
2
4
.
7
4
8
.
2
9
1
.
0
9
0
.
1
1
9
7
.
9
8
5
E
6
1
.
1
7
2
2
.
5
4
0
.
4
7
3
.
8
0
8
.
4
9
1
.
3
3
0
.
0
0
9
7
.
8
0
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
7
8
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
 
A
m
m
o
n
i
a
T
a
n
k
s
n
u
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
o
#
9
0
:
.
3
1
0
2
3
1
2
0
3
r
e
c
C
a
O
H
a
z
e
:
2
0
8
3
0
T
o
t
a
l
1
5
-
2
9
T
h
i
n
1
E
6
4
.
0
0
1
9
.
2
9
0
.
2
0
0
.
3
2
5
.
7
7
8
.
2
0
0
.
0
3
9
7
.
8
1
S
e
c
.
1
c
6
3
.
7
3
1
8
.
7
7
0
.
1
3
0
.
3
5
5
.
6
7
8
.
1
1
0
.
0
0
9
6
.
7
6
2
E
6
3
.
4
6
1
8
.
8
5
0
.
1
7
0
.
3
1
5
.
8
1
8
.
2
8
0
.
0
9
9
6
.
9
8
2
c
6
4
.
2
2
1
9
.
0
7
0
.
1
3
0
.
3
3
5
.
7
9
8
.
0
2
0
.
1
5
9
7
.
7
1
3
E
6
4
.
5
0
1
9
3
7
0
.
1
1
0
.
2
9
5
.
9
0
8
.
2
7
0
.
0
3
9
8
.
4
8
4
E
6
4
.
2
9
1
8
9
3
0
.
1
7
0
.
3
1
5
.
6
4
8
.
4
8
0
.
1
1
9
7
.
9
3
1
5
-
3
0
T
h
i
n
1
E
6
3
0
3
1
9
.
9
1
0
.
2
3
0
.
7
5
5
.
2
5
8
.
8
1
0
.
4
9
9
8
.
4
7
S
e
c
.
1
c
6
3
.
1
8
1
9
8
0
0
.
2
8
0
.
7
4
4
.
9
5
9
.
1
8
0
.
3
2
9
8
4
5
2
E
5
6
.
2
2
2
2
.
2
2
0
.
3
3
4
.
7
4
7
.
0
2
1
.
6
3
0
.
1
1
9
2
.
2
6
3
E
6
4
.
2
3
1
9
.
9
2
0
.
1
7
0
.
8
8
5
.
3
1
8
.
6
6
0
.
2
9
9
9
.
4
5
4
E
6
0
.
8
9
2
3
6
0
0
.
4
2
4
.
7
8
7
.
6
9
1
.
9
9
0
.
3
5
9
9
.
7
3
5
E
6
1
.
3
1
2
2
.
7
7
0
.
3
4
3
.
9
4
7
.
8
1
2
.
5
9
0
.
1
4
9
8
.
8
9
6
E
5
8
.
6
2
2
4
.
4
4
0
.
2
7
6
.
0
1
7
.
2
1
1
.
4
4
0
.
1
8
9
8
.
1
7
1
5
-
3
1
T
h
i
n
1
E
6
0
.
9
4
1
9
.
9
2
0
.
3
3
0
.
6
4
3
.
9
6
8
.
9
3
2
.
6
9
9
7
.
4
1
S
e
c
.
2
E
5
7
.
5
9
2
5
6
0
0
.
5
4
7
.
0
2
6
.
8
6
1
.
1
8
0
.
1
8
9
8
.
9
6
3
E
5
8
.
3
9
2
4
.
4
3
0
.
3
6
5
.
7
9
7
.
1
8
1
.
7
4
0
.
2
8
9
8
.
1
6
4
E
5
6
7
1
2
6
.
0
6
0
.
5
6
7
.
4
7
6
.
6
1
1
.
0
8
0
.
1
2
9
8
.
6
2
5
c
5
7
.
4
8
2
5
.
9
5
0
.
4
4
7
.
5
2
6
.
6
2
1
.
0
8
0
.
3
4
9
9
.
4
4
5
N
E
5
9
.
6
7
2
5
.
0
6
0
.
4
1
6
.
1
4
7
.
0
7
1
.
5
1
0
.
4
1
1
0
0
.
2
9
5
E
6
3
.
3
2
1
9
.
4
0
0
.
3
8
0
.
6
0
4
.
9
4
9
.
3
6
0
.
2
3
9
8
.
2
4
A
5
-
5
6
T
h
i
n
1
E
6
4
.
2
6
1
9
.
1
9
0
.
1
5
0
.
3
6
5
.
8
4
8
.
4
6
0
.
0
5
9
8
.
3
0
S
e
c
.
2
E
6
4
.
3
4
1
9
.
0
9
0
.
1
3
0
.
3
7
5
.
8
5
8
.
2
6
0
.
0
5
9
8
.
0
9
3
E
6
4
.
5
5
1
9
.
4
1
0
.
2
1
0
.
3
8
5
.
9
5
7
.
8
9
0
.
0
0
9
8
.
3
9
3
c
6
5
.
2
7
1
9
.
4
1
0
.
2
2
0
.
4
0
6
.
1
1
8
.
0
8
0
.
0
6
9
9
.
5
6
I
t
s
-
6
8
T
h
i
n
1
E
6
4
.
2
7
1
9
.
3
6
0
.
1
8
0
.
4
9
6
.
0
6
7
.
9
1
0
.
0
6
9
8
.
3
4
S
e
c
.
2
E
6
4
.
8
4
1
9
.
4
7
0
.
1
6
0
.
5
3
6
.
1
1
7
.
9
8
0
.
0
3
9
9
.
1
2
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
7
9
 
F
E
L
D
S
P
A
R
.
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
T
y
p
e
#
P
o
s
.
$
1
0
2
A
1
2
0
3
F
e
O
C
a
O
N
3
2
0
x
2
0
s
a
c
T
o
t
a
l
1
5
-
7
9
T
h
i
n
1
E
6
3
.
2
6
1
9
.
2
1
0
.
2
5
0
.
4
4
5
.
9
2
8
.
0
0
0
.
0
0
9
7
.
0
8
S
e
c
.
2
E
6
3
8
9
2
0
.
8
8
0
.
1
8
2
.
0
2
9
.
2
8
1
.
8
5
0
.
0
0
9
8
.
1
0
3
E
6
3
.
9
6
1
8
.
9
9
0
.
1
5
0
.
2
5
5
.
5
7
8
.
3
5
0
.
0
0
9
7
.
2
7
4
E
6
3
0
7
1
8
.
9
7
0
.
0
8
0
.
3
1
5
.
7
0
8
.
3
2
0
.
0
3
9
6
.
4
9
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
8
0
 
B
I
O
T
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
b
s
a
m
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
#
P
o
o
.
N
a
2
0
1
1
2
0
3
“
9
0
C
a
O
K
2
0
2
1
0
2
M
n
O
3
0
0
N
1
0
3
1
0
2
S
a
c
T
o
t
a
l
R
8
-
2
5
1
E
0
.
3
3
1
4
.
2
6
1
3
.
9
6
0
.
2
0
6
.
3
5
5
.
7
4
0
.
3
2
3
.
5
9
0
.
0
0
3
4
.
9
2
0
.
8
7
9
0
.
5
4
1
C
0
.
4
0
1
3
.
8
8
1
4
.
3
2
0
.
3
3
5
.
7
9
5
.
8
0
0
.
3
3
1
4
.
0
5
0
.
0
0
3
4
.
1
2
1
.
1
0
9
0
.
1
2
2
E
0
.
4
2
1
4
.
7
8
1
3
.
3
3
0
.
0
2
8
.
9
3
6
.
2
4
0
.
2
8
1
4
.
3
7
0
.
1
3
3
6
.
5
7
1
.
6
2
9
6
.
6
9
2
C
0
.
6
6
1
4
.
3
1
1
3
.
8
9
0
.
0
3
8
.
8
6
5
.
8
5
0
.
3
1
1
4
.
1
9
0
.
0
0
3
5
.
9
7
0
.
7
5
9
4
.
8
2
3
E
0
.
3
4
1
3
.
5
1
1
4
.
0
7
0
.
1
7
6
.
6
5
5
.
1
7
0
.
2
3
1
3
.
3
6
0
.
0
0
3
6
.
8
4
0
.
1
6
9
0
.
5
0
3
C
0
.
5
0
1
3
.
1
9
1
4
.
2
0
0
.
1
9
7
.
4
9
5
.
4
0
0
.
3
3
1
4
.
2
1
0
.
0
0
3
6
.
1
8
0
.
0
2
9
1
.
7
1
4
E
0
.
6
8
1
4
.
7
6
1
3
.
5
3
0
.
0
1
8
.
9
6
5
.
9
3
0
.
3
5
1
5
.
6
3
0
.
0
0
3
6
.
2
5
0
.
7
8
9
6
.
8
8
4
C
0
.
6
4
1
3
.
4
9
1
4
.
5
6
0
.
0
0
9
.
1
9
5
.
6
2
0
.
2
7
1
4
.
6
6
0
.
0
0
3
7
.
5
1
0
.
1
0
9
6
.
0
4
5
E
0
.
6
0
1
4
.
5
3
1
3
.
4
0
0
.
0
8
8
.
2
3
6
.
0
9
0
.
3
0
1
4
.
8
1
0
.
0
0
3
5
.
3
2
1
.
5
8
9
4
.
9
4
6
E
0
.
6
2
1
4
.
4
5
1
3
.
3
3
0
.
0
4
8
.
4
4
6
.
2
4
0
.
3
7
1
4
.
8
2
0
.
0
0
3
5
.
4
1
1
.
7
9
9
5
.
5
1
7
E
0
.
6
0
1
4
.
3
9
1
4
.
4
4
0
.
0
0
8
.
9
2
5
.
7
0
0
.
3
4
1
4
.
5
0
0
.
0
0
3
6
.
3
1
0
.
5
3
9
5
.
7
3
8
C
0
.
5
9
1
4
.
5
1
1
3
.
9
7
0
.
0
0
8
.
7
8
6
.
1
0
0
.
5
2
1
4
.
7
8
0
.
0
0
3
6
.
0
0
1
.
0
8
9
6
.
3
3
9
E
0
.
6
7
1
4
.
2
8
1
3
.
2
6
0
.
0
9
8
.
5
1
6
.
1
2
0
.
2
7
1
5
.
8
6
0
.
0
0
3
6
.
1
6
1
.
2
7
9
6
.
4
9
9
E
0
.
6
0
1
4
.
4
1
1
4
.
0
6
0
.
0
6
8
.
8
0
5
.
9
4
0
.
3
2
1
5
.
2
7
0
.
0
3
3
6
.
1
6
0
.
9
5
9
6
.
6
0
1
0
E
0
.
5
7
1
3
.
6
9
1
3
.
9
8
0
.
0
7
8
.
6
2
5
.
9
4
0
.
2
8
1
4
.
2
5
0
.
0
4
3
5
.
9
6
0
.
5
9
9
3
.
9
9
1
1
E
0
.
5
4
1
4
.
3
3
1
3
.
6
6
0
.
0
5
8
.
7
4
6
.
1
8
0
.
2
9
1
4
.
7
1
0
.
0
0
3
6
.
3
7
1
.
0
3
9
5
.
9
0
1
2
E
0
.
4
9
1
3
.
4
8
1
4
.
4
0
0
.
1
9
7
.
3
4
5
.
7
9
0
.
3
0
1
4
.
4
8
0
.
0
0
3
5
.
3
2
0
.
4
4
9
2
.
2
3
3
8
-
4
4
1
E
0
.
6
3
1
3
.
8
2
1
1
.
4
4
0
.
1
3
7
.
9
6
5
.
9
1
0
.
2
3
1
3
.
2
9
0
.
0
0
3
7
.
2
5
1
.
0
5
9
1
.
7
1
1
C
0
.
8
0
1
3
.
8
1
1
1
.
9
6
0
.
1
6
7
.
4
2
5
.
9
7
0
.
2
7
1
3
.
9
4
0
.
0
0
3
6
.
0
1
1
.
0
6
9
1
.
4
0
2
E
0
.
6
5
1
3
.
8
0
1
5
.
7
7
0
.
0
1
9
.
1
8
4
.
7
9
0
.
3
4
1
4
.
3
9
0
.
0
0
3
8
.
9
5
0
.
1
4
9
8
.
0
2
2
C
0
.
6
0
1
3
.
6
4
1
5
.
1
2
0
.
0
2
9
.
1
5
4
.
9
5
0
.
2
6
1
3
.
7
7
0
.
0
0
3
8
.
4
3
0
.
0
0
9
5
.
9
3
3
E
0
.
4
8
1
4
.
0
8
1
2
.
5
7
0
.
2
7
7
.
5
0
6
.
0
3
0
.
2
1
1
3
.
6
5
0
.
0
1
3
7
.
3
5
0
.
6
3
9
2
.
7
8
4
E
0
.
4
8
1
4
.
1
1
1
2
.
2
5
0
.
1
5
7
.
5
5
6
.
0
8
0
.
3
1
1
4
.
7
2
0
.
0
0
3
7
.
5
7
1
.
2
2
9
4
.
4
4
5
E
0
.
5
6
1
4
.
1
2
1
4
.
1
7
0
.
0
1
8
.
9
2
6
.
1
2
0
.
3
0
1
4
.
5
8
0
.
0
0
3
6
.
5
7
0
.
5
7
9
5
.
9
2
6
E
0
.
4
5
1
3
.
6
5
1
3
.
4
6
0
.
1
8
7
.
5
3
5
.
4
1
0
.
2
5
1
3
.
7
5
0
.
0
0
3
9
.
1
6
0
.
0
4
9
3
.
8
8
7
E
0
.
6
3
1
4
.
6
7
1
4
.
1
3
0
.
0
6
8
.
6
4
6
.
2
4
0
.
5
5
1
5
.
3
7
0
.
0
0
3
6
.
3
2
1
.
4
2
9
8
.
0
3
R
8
-
4
5
1
E
0
.
7
0
1
4
.
4
0
1
3
.
9
9
0
.
0
6
8
.
6
2
6
.
0
3
0
.
3
3
1
5
.
3
5
0
.
0
0
3
6
.
3
9
1
.
5
2
9
7
.
3
9
2
E
0
.
6
2
1
3
.
9
0
1
3
.
4
5
0
.
1
1
8
.
5
3
5
.
8
0
0
.
3
0
1
4
.
6
3
0
.
0
0
3
6
.
6
8
0
.
5
4
9
4
.
5
6
2
C
0
.
5
5
1
4
.
1
2
1
4
.
0
2
0
.
1
0
8
.
7
9
5
.
9
4
0
.
2
8
1
4
.
3
5
0
.
0
0
3
7
.
5
4
0
.
6
9
9
6
.
3
8
3
E
0
.
7
1
1
4
.
7
2
1
3
.
8
4
0
.
0
8
8
.
7
8
5
.
9
2
0
.
2
6
1
4
.
8
1
0
.
0
2
3
6
.
5
1
1
.
5
2
9
7
.
1
7
3
C
0
.
6
3
1
4
.
3
8
1
3
.
5
6
0
.
0
5
8
.
6
7
5
.
9
5
0
.
2
6
1
4
.
9
9
0
.
0
0
3
5
.
5
8
1
.
3
3
9
5
.
4
0
4
E
0
.
7
1
1
4
.
6
8
1
3
.
2
0
0
.
0
5
8
.
6
7
6
.
3
9
0
.
3
0
1
5
.
0
8
0
.
0
4
3
5
.
8
9
1
.
9
6
9
6
.
9
7
5
E
0
.
5
6
1
4
.
1
0
1
3
.
7
1
0
.
1
7
8
.
3
9
6
.
1
0
0
.
3
2
1
4
.
7
5
0
.
0
0
3
6
.
3
7
0
.
8
5
9
5
.
3
2
6
E
0
.
3
9
1
3
.
9
9
1
3
.
7
5
0
.
2
6
7
.
4
9
5
.
6
9
0
.
1
8
1
4
.
0
4
0
.
0
1
3
7
.
0
0
0
.
6
3
9
3
.
4
3
7
E
0
.
6
6
1
4
.
5
9
1
4
.
1
9
0
.
1
5
8
.
7
9
5
.
8
4
0
.
2
7
1
4
.
8
3
0
.
0
4
3
6
.
9
2
0
.
5
5
9
6
.
8
3
8
E
0
.
6
1
1
4
.
6
7
1
4
.
0
6
0
.
1
1
8
.
4
1
6
.
2
7
0
.
3
1
1
5
.
5
4
0
.
0
3
3
6
.
5
7
1
.
1
7
9
7
.
7
5
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
8
1
 
B
I
O
T
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
m
e
m
b
e
r
 
 
S
a
m
p
l
-
G
r
a
i
n
#
P
a
s
.
N
a
2
0
1
1
2
0
3
I
9
0
C
a
O
K
2
0
1
1
0
2
M
n
O
7
0
0
3
1
0
8
1
0
2
S
a
c
f
a
t
a
l
R
l
l
-
S
1
B
0
.
6
3
1
4
.
9
6
1
3
.
9
9
0
.
0
7
7
.
9
9
5
.
8
0
0
.
3
0
1
3
.
5
0
0
.
0
2
3
6
.
6
0
1
.
1
1
9
4
.
9
7
1
C
0
.
5
9
1
5
.
0
4
1
3
.
0
5
0
.
1
8
7
.
8
8
5
.
4
7
0
.
2
1
1
3
.
3
3
0
.
0
0
3
6
.
8
3
0
.
9
1
9
3
.
4
9
2
E
0
.
6
8
1
4
.
6
0
1
4
.
1
0
0
.
5
5
7
.
7
4
5
.
4
2
0
.
2
0
1
3
.
0
9
0
.
0
3
3
6
.
2
9
0
.
4
6
9
3
.
1
6
3
E
0
.
4
6
1
3
.
6
9
1
3
.
3
4
0
.
1
2
7
.
5
1
5
.
7
3
0
.
2
6
1
3
.
7
4
0
.
0
3
3
5
.
7
4
0
.
3
6
9
0
.
9
8
4
E
0
.
7
1
1
4
.
8
9
1
3
.
6
5
0
.
0
2
8
.
1
3
5
.
5
8
0
.
2
8
1
3
.
9
7
0
.
0
2
3
6
.
6
0
0
.
5
2
9
4
.
3
7
5
E
1
.
4
8
1
4
.
4
7
1
4
.
3
3
0
.
1
1
7
.
4
7
5
.
5
4
0
.
2
8
1
3
.
1
7
0
.
0
0
3
6
.
3
5
1
.
0
8
9
4
.
2
8
6
E
0
.
7
8
1
5
.
3
6
1
4
.
0
9
0
.
0
0
8
.
1
5
5
.
6
4
0
.
2
5
1
3
.
5
5
0
.
1
5
3
6
.
4
1
1
.
3
1
9
5
.
6
9
6
C
0
.
6
5
1
5
.
0
6
1
3
.
4
9
0
.
0
4
7
.
6
1
5
.
4
8
0
.
2
3
1
3
.
3
1
0
.
0
2
3
6
.
7
7
0
.
7
6
9
3
.
4
2
7
E
0
.
6
2
1
3
.
7
6
1
4
.
0
0
0
.
0
7
8
.
3
0
6
.
0
0
0
.
2
4
1
4
.
2
1
0
.
0
0
3
6
.
1
7
0
.
8
1
9
4
.
1
8
8
E
0
.
5
1
1
4
.
0
2
1
3
.
6
0
0
.
2
0
7
.
9
8
5
.
7
2
0
.
1
9
1
3
.
8
1
0
.
0
0
3
6
.
1
3
0
.
8
8
9
3
.
0
4
9
E
0
.
4
9
1
4
.
6
5
1
3
.
6
3
0
.
3
6
7
.
4
6
5
.
7
2
0
.
2
4
1
4
.
1
5
0
.
0
0
3
5
.
8
3
1
.
0
7
9
3
.
6
0
9
E
0
.
4
0
1
4
.
5
6
1
3
.
3
7
0
.
3
0
7
.
6
5
5
.
6
9
0
.
2
0
1
3
.
5
2
0
.
0
0
3
6
.
1
7
0
.
9
6
9
2
.
8
2
E
l
l
-
7
1
E
0
.
6
6
1
3
.
6
4
1
4
.
4
4
0
.
0
3
9
.
2
7
3
.
5
9
0
.
7
4
1
5
.
8
8
0
.
0
0
3
7
.
5
1
0
.
0
5
9
5
.
8
1
2
E
0
.
3
4
1
2
.
9
0
1
2
.
8
1
0
.
3
4
7
.
1
3
3
.
7
1
0
.
5
4
1
6
.
4
7
0
.
0
0
3
7
.
3
1
0
.
0
6
9
1
.
6
1
3
E
0
.
4
1
1
3
.
8
3
1
3
.
7
7
0
.
3
1
6
.
7
4
5
.
9
1
0
.
2
0
1
4
.
2
6
0
.
0
2
3
5
.
4
3
0
.
5
9
9
1
.
4
7
4
E
0
.
4
1
1
3
.
2
7
1
3
.
3
6
0
.
2
7
7
.
6
7
3
.
6
0
0
.
5
3
1
5
.
2
3
0
.
0
2
3
6
.
8
3
0
.
0
3
9
1
.
2
2
5
E
0
.
5
0
1
4
.
0
9
1
3
.
3
0
0
.
1
0
8
.
7
1
3
.
7
1
0
.
6
4
1
4
.
6
0
0
.
0
0
3
7
.
7
7
0
.
1
2
9
3
.
5
4
6
E
0
.
4
9
1
3
.
4
2
1
3
.
8
5
0
.
1
8
8
.
1
0
3
.
8
6
0
.
6
4
1
5
.
5
5
0
.
0
2
3
7
.
2
3
0
.
0
2
9
3
.
3
6
6
C
0
.
4
3
1
3
.
0
2
1
3
.
8
6
0
.
4
2
7
.
3
4
3
.
5
0
0
.
7
9
1
5
.
4
6
0
.
0
0
3
6
.
8
8
0
.
4
5
9
2
.
1
5
7
E
0
.
6
0
1
3
.
5
6
1
4
.
0
2
0
.
0
2
9
.
1
6
3
.
8
3
0
.
5
9
1
6
.
4
4
0
.
0
0
3
7
.
4
2
0
.
0
2
9
5
.
6
6
8
E
0
.
5
8
1
3
.
2
6
1
4
.
3
3
0
.
0
3
9
.
2
4
3
.
6
4
0
.
6
7
1
6
.
1
4
0
.
0
0
3
7
.
1
6
0
.
0
0
9
5
.
0
5
9
E
0
.
3
7
1
3
.
3
7
1
3
.
7
5
0
.
3
6
7
.
2
1
3
.
4
8
0
.
6
7
1
5
.
0
1
0
.
0
1
3
6
.
8
1
0
.
0
2
9
1
.
0
6
1
0
E
0
.
3
2
1
2
.
8
9
1
3
.
4
4
0
.
3
2
7
.
6
8
3
.
1
6
0
.
5
7
1
4
.
9
0
0
.
0
0
3
7
.
5
8
0
.
0
2
9
0
.
8
8
1
0
E
0
.
3
0
1
3
.
1
8
1
3
.
9
0
0
.
3
0
7
.
5
0
3
.
4
7
0
.
6
4
1
5
.
6
0
0
.
0
8
3
7
.
6
4
0
.
0
7
9
2
.
6
8
1
1
E
0
.
3
5
1
3
.
8
4
1
4
.
1
6
0
.
3
4
7
.
4
1
5
.
2
4
0
.
3
3
1
4
.
2
7
0
.
0
0
3
7
.
2
0
0
.
2
2
9
3
.
3
6
1
2
B
0
.
3
9
1
3
.
3
9
1
2
.
9
6
0
.
2
3
7
.
6
8
5
.
6
2
0
.
2
9
1
4
.
4
7
0
.
0
2
3
5
.
5
2
0
.
7
1
9
1
.
2
8
1
2
E
0
.
3
7
1
3
.
8
5
1
3
.
3
6
0
.
2
3
7
.
5
4
5
.
0
7
0
.
3
1
1
4
.
4
5
0
.
0
0
3
6
.
2
0
0
.
3
3
9
1
.
7
1
R
1
8
-
2
1
E
0
.
5
1
1
3
.
0
4
1
3
.
7
3
0
.
0
2
9
.
0
7
4
.
0
8
0
.
4
8
1
5
.
3
0
0
.
0
0
3
7
.
3
2
0
.
1
3
9
3
.
6
8
2
E
0
.
4
6
1
3
.
3
3
1
3
.
4
8
0
.
0
5
9
.
0
5
4
.
0
6
0
.
4
8
1
5
.
5
9
0
.
0
0
3
6
.
9
3
0
.
0
0
9
3
.
4
3
3
E
0
.
5
3
1
3
.
8
2
1
3
.
5
4
0
.
0
5
9
.
1
0
4
.
2
9
0
.
5
2
1
5
.
3
9
0
.
0
0
3
7
.
5
8
0
.
0
2
9
4
.
8
4
4
E
0
.
4
6
1
3
.
6
8
1
4
.
0
1
0
.
0
2
8
.
9
3
4
.
0
0
0
.
4
3
1
5
.
3
7
0
.
0
0
3
7
.
4
2
1
.
1
2
9
5
.
4
4
5
E
0
.
5
5
1
4
.
0
3
1
4
.
4
5
0
.
0
1
9
.
2
5
4
.
1
6
0
.
4
3
1
5
.
2
1
0
.
0
0
3
7
.
3
5
0
.
0
5
9
5
.
4
9
5
C
0
.
4
9
1
3
.
5
4
1
4
.
0
6
0
.
0
5
9
.
0
3
3
.
9
2
0
.
4
3
1
5
.
0
1
0
.
0
0
3
6
.
7
1
0
.
0
0
9
3
.
2
4
6
E
0
.
5
1
1
3
.
1
8
1
3
.
5
8
0
.
1
5
8
.
5
2
4
.
0
9
0
.
5
5
1
5
.
0
5
0
.
0
0
3
7
.
3
3
0
.
0
0
9
2
.
9
6
6
C
0
.
5
6
1
3
.
3
1
1
3
.
9
9
0
.
2
0
8
.
2
8
4
.
1
7
0
.
4
9
1
5
.
0
0
0
.
0
0
3
7
.
7
9
1
.
8
4
9
5
.
6
3
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
8
2
 
B
I
O
T
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
m
e
s
a
m
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
#
P
e
e
.
N
a
2
0
A
1
2
0
3
M
g
O
C
a
O
K
2
0
2
1
0
2
M
n
O
P
0
0
N
1
0
8
1
0
2
D
e
c
t
o
t
a
l
R
1
8
-
1
6
1
E
0
.
5
3
1
5
.
0
7
1
3
.
3
9
0
.
0
4
9
.
1
7
4
.
6
4
0
.
4
2
1
6
.
8
5
0
.
0
6
3
6
.
5
4
0
.
4
9
9
7
.
2
0
2
E
0
.
4
4
1
3
.
5
9
1
3
.
2
3
0
.
0
7
8
.
2
9
4
.
2
4
0
.
4
0
1
5
.
4
5
0
.
0
0
3
8
.
8
2
0
.
0
0
9
4
.
5
3
3
E
0
.
3
3
1
2
.
2
8
1
3
.
2
7
0
.
1
7
7
.
7
5
4
.
0
4
0
.
3
3
1
4
.
5
4
0
.
0
0
3
8
.
3
8
0
.
0
2
9
1
.
1
1
4
E
0
.
6
1
1
4
.
6
0
1
3
.
5
1
0
.
0
0
9
.
2
5
4
.
6
9
0
.
4
3
1
6
.
1
5
0
.
0
4
3
5
.
9
6
0
.
4
3
9
5
.
6
7
4
C
0
.
6
3
1
4
.
6
3
1
3
.
0
6
0
.
0
5
8
.
9
9
4
.
8
1
0
.
4
4
1
6
.
0
9
0
.
0
0
3
6
.
3
9
0
.
4
3
9
5
.
5
2
5
E
0
.
5
1
1
3
.
2
1
1
4
.
0
9
0
.
2
8
8
.
4
7
4
.
0
8
0
.
3
1
1
4
.
4
3
0
.
0
0
3
8
.
5
0
0
.
0
8
9
3
.
9
6
5
N
0
.
4
3
1
3
.
4
6
1
2
.
9
2
1
.
1
6
7
.
7
4
3
.
9
8
0
.
3
0
1
3
.
5
6
0
.
0
0
3
7
.
5
2
0
.
0
0
9
1
.
0
7
5
C
0
.
3
1
1
3
.
3
1
1
4
.
1
7
0
.
1
5
8
.
6
0
4
.
2
1
0
.
3
2
1
3
.
8
3
0
.
0
0
3
9
.
6
4
0
.
0
4
9
4
.
5
9
6
E
0
.
3
3
1
2
.
8
8
1
3
.
6
1
0
.
1
0
8
.
3
9
4
.
3
3
0
.
3
2
1
4
.
7
4
0
.
0
2
3
8
.
0
9
0
.
0
0
9
2
.
8
1
7
E
0
.
4
7
1
3
.
1
5
1
4
.
3
4
0
.
0
3
9
.
1
2
4
.
2
3
0
.
3
7
1
4
.
6
9
0
.
0
5
3
7
.
4
9
0
.
0
2
9
3
.
9
6
7
C
0
.
4
3
1
3
.
2
5
1
3
.
8
9
0
.
0
2
8
.
8
5
4
.
2
2
0
.
3
7
1
4
.
6
2
0
.
0
0
3
6
.
5
5
0
.
1
4
9
2
.
3
4
R
2
3
-
1
3
1
E
0
.
6
5
1
4
.
8
6
1
4
.
2
9
0
.
0
3
9
.
2
8
5
.
7
7
0
.
3
4
1
4
.
9
0
0
.
0
3
3
7
.
7
0
0
.
7
4
9
8
.
5
9
1
C
0
.
5
5
1
4
.
2
9
1
4
.
4
7
0
.
0
3
8
.
9
3
5
.
9
8
0
.
4
2
1
5
.
2
2
0
.
0
3
3
7
.
2
7
0
.
4
0
9
7
.
5
9
2
E
0
.
5
2
1
4
.
4
9
1
3
.
1
7
0
.
0
5
8
.
8
1
6
.
2
4
0
.
3
5
1
5
.
0
8
0
.
0
4
3
6
.
4
2
1
.
3
3
9
6
.
5
0
3
E
0
.
5
7
1
4
.
8
3
1
3
.
2
8
0
.
0
4
8
.
5
9
6
.
1
6
0
.
4
3
1
5
.
3
9
0
.
0
3
3
6
.
5
3
1
.
6
3
9
7
.
4
8
4
E
0
.
5
6
1
5
.
0
2
1
3
.
5
8
0
.
0
4
8
.
6
0
6
.
2
3
0
.
3
4
1
5
.
2
1
0
.
4
8
3
5
.
9
7
1
.
6
6
9
7
.
6
9
5
E
0
.
5
0
1
4
.
4
5
1
4
.
3
5
0
.
0
4
9
.
0
3
5
.
9
1
0
.
3
7
1
5
.
1
6
0
.
0
4
3
6
.
7
0
0
.
3
8
9
6
.
9
3
6
E
0
.
4
2
1
4
.
9
9
1
4
.
0
8
0
.
0
0
8
.
8
5
6
.
1
4
0
.
3
3
1
5
.
0
0
0
.
0
4
3
7
.
3
9
0
.
9
2
9
8
.
1
6
7
E
0
.
5
3
1
4
.
1
5
1
3
.
7
8
0
.
0
8
8
.
9
9
5
.
5
2
0
.
3
3
1
4
.
5
7
0
.
0
3
3
6
.
9
1
0
.
4
4
9
5
.
3
3
R
2
3
-
2
4
1
E
0
.
8
0
1
4
.
8
8
1
4
.
6
1
0
.
0
1
8
.
1
9
5
.
3
7
0
.
2
1
1
3
.
0
2
0
.
0
0
3
4
.
8
7
1
.
4
1
9
3
.
3
7
2
E
0
.
8
8
1
4
.
9
9
1
5
.
1
7
0
.
0
3
8
.
3
3
5
.
4
5
0
.
2
1
1
3
.
1
4
0
.
0
0
3
6
.
7
8
1
.
5
8
9
6
.
5
6
3
E
0
.
9
5
1
4
.
8
0
1
4
.
8
0
0
.
0
2
7
.
8
3
5
.
1
6
0
.
1
6
1
2
.
7
3
0
.
0
0
3
4
.
9
0
1
.
5
8
9
2
.
9
3
4
E
0
.
7
3
1
4
.
3
9
1
4
.
3
2
0
.
0
2
8
.
6
7
5
.
6
6
0
.
2
1
1
3
.
8
6
0
.
0
2
3
5
.
6
1
0
.
9
4
9
4
.
4
3
5
E
0
.
8
4
1
4
.
9
1
1
4
.
5
2
0
.
0
2
7
.
9
3
5
.
4
9
0
.
1
9
1
2
.
8
8
0
.
0
0
3
5
.
2
0
1
.
6
6
9
3
.
6
4
5
C
0
.
8
6
1
4
.
6
3
1
4
.
3
1
0
.
0
0
8
.
0
5
5
.
5
0
0
.
1
9
1
2
.
8
2
0
.
0
0
3
4
.
9
7
1
.
8
1
9
3
.
1
4
6
E
0
.
9
9
1
4
.
7
2
1
5
.
3
1
0
.
0
3
7
.
6
4
5
.
0
4
0
.
1
4
1
2
.
4
9
0
.
0
0
3
4
.
5
2
1
.
5
1
9
2
.
3
9
7
E
0
.
9
9
1
5
.
0
9
1
4
.
8
9
0
.
0
3
8
.
2
1
5
.
2
2
0
.
1
7
1
2
.
8
3
0
.
0
0
3
5
.
3
5
1
.
5
3
9
4
.
3
1
R
2
3
-
2
6
1
E
0
.
5
8
1
4
.
8
3
1
3
.
3
1
0
.
0
0
8
.
7
6
6
.
2
9
0
.
2
5
1
5
.
1
7
0
.
0
0
3
4
.
9
8
1
.
5
4
9
5
.
7
1
2
E
0
.
6
4
1
4
.
6
4
1
3
.
7
4
0
.
0
2
8
.
5
5
6
.
4
2
0
.
2
8
1
4
.
8
5
0
.
0
0
3
5
.
3
7
1
.
4
8
9
5
.
9
9
3
E
0
.
6
0
1
4
.
0
9
1
3
.
4
4
0
.
0
0
8
.
5
8
5
.
8
6
0
.
2
8
1
4
.
5
2
0
.
0
0
3
5
.
1
9
0
.
8
9
9
3
.
4
5
4
E
0
.
4
9
1
4
.
7
3
1
3
.
4
8
0
.
0
0
8
.
5
8
6
.
2
0
0
.
2
4
1
4
.
9
7
0
.
0
3
3
5
.
7
0
1
.
6
6
9
6
.
0
8
5
E
0
.
6
7
1
4
.
8
9
1
3
.
7
6
0
.
0
0
8
.
5
7
6
.
2
9
0
.
3
2
1
4
.
8
3
0
.
0
0
3
4
.
8
6
1
.
6
3
9
5
.
8
2
5
C
0
.
5
7
1
4
.
9
3
1
3
.
5
8
0
.
0
2
8
.
6
7
6
.
2
6
0
.
4
9
1
5
.
1
5
0
.
0
0
3
5
.
4
3
1
.
5
6
9
6
.
6
6
5
E
0
.
5
5
1
4
.
1
7
1
3
.
6
9
0
.
0
0
8
.
8
2
6
.
0
8
0
.
2
7
1
4
.
6
8
0
.
0
0
3
5
.
9
7
0
.
6
9
9
4
.
9
2
6
E
0
.
6
8
1
4
.
2
5
1
3
.
7
0
0
.
0
6
8
.
8
6
6
.
0
7
0
.
2
7
1
4
.
7
1
0
.
0
4
3
5
.
2
9
0
.
8
6
9
4
.
7
9
)

o

a

m

H

O

m

H

H

m

2
8
3
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
B
I
O
T
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
B
r
a
i
n
3
P
e
n
.
N
a
2
0
1
1
2
0
3
“
9
0
C
a
O
R
2
0
1
1
0
2
u
n
o
F
e
O
l
i
o
8
1
0
2
S
a
c
f
e
t
a
l
 
R
2
3
-
2
7
1
E
0
.
7
1
1
4
.
6
9
1
4
.
4
1
0
.
0
3
8
.
3
3
5
.
3
3
0
.
2
0
1
4
.
4
2
0
.
0
0
3
5
.
0
4
1
.
4
0
9
4
.
5
6
2
E
0
.
8
2
1
4
.
8
0
1
4
.
7
8
0
.
0
2
8
.
1
7
5
.
5
5
0
.
1
7
1
3
.
5
3
0
.
0
0
3
5
.
3
0
1
.
7
0
9
4
.
8
4
2
C
0
.
9
0
1
5
.
1
2
1
5
.
0
4
0
.
0
2
8
.
1
2
5
.
5
1
0
.
1
7
1
3
.
6
2
0
.
0
0
3
5
.
2
0
2
.
0
5
9
5
.
7
5
3
E
0
.
8
9
1
5
.
4
8
1
5
.
3
4
0
.
0
0
8
.
3
5
5
.
2
4
0
.
1
5
1
3
.
6
1
0
.
0
0
3
6
.
1
3
1
.
4
5
9
6
.
6
4
4
E
0
.
8
5
1
4
.
5
5
1
4
.
3
1
0
.
0
4
8
.
3
2
5
.
5
6
0
.
1
8
1
4
.
0
2
0
.
0
0
3
5
.
3
7
1
.
3
6
9
4
.
5
6
5
E
0
.
7
9
1
5
.
1
6
1
4
.
5
5
0
.
0
5
8
.
2
2
5
.
7
3
0
.
1
9
1
3
.
8
8
0
.
0
0
3
4
.
4
7
1
.
5
2
9
4
.
5
6
6
E
0
.
9
1
1
5
.
4
9
1
5
.
2
3
0
.
0
7
7
.
9
1
5
.
2
6
0
.
1
7
1
3
.
2
0
0
.
0
0
3
4
.
5
3
1
.
6
7
9
4
.
4
4
7
E
1
.
0
0
1
5
.
5
5
1
5
.
2
4
0
.
0
3
8
.
0
9
5
.
2
7
0
.
1
6
1
3
.
5
2
0
.
0
0
3
5
.
8
9
1
.
7
0
9
6
.
4
5
8
E
0
.
7
8
1
4
.
6
9
1
4
.
2
7
0
.
0
5
7
.
9
2
5
.
4
5
0
.
1
6
1
3
.
4
3
0
.
0
0
3
4
.
6
9
1
.
3
4
9
2
.
7
8
8
C
0
.
7
4
1
5
.
1
0
1
4
.
6
1
0
.
0
3
8
.
2
4
5
.
6
1
0
.
2
1
1
4
.
2
0
0
.
0
0
3
5
.
2
6
1
.
3
4
9
5
.
3
4
9
E
0
.
9
0
1
5
.
1
8
1
5
.
0
8
0
.
0
0
8
.
3
0
5
.
4
2
0
.
1
5
1
3
.
4
0
0
.
0
6
3
3
.
9
5
1
.
8
8
9
4
.
3
1
3
2
1
-
1
1
E
0
.
7
0
1
4
.
4
3
1
3
.
3
9
0
.
0
2
6
.
8
4
5
.
0
9
0
.
4
5
1
4
.
5
2
0
.
0
0
3
4
.
4
5
0
.
8
5
9
0
.
7
4
2
E
0
.
5
3
1
4
.
1
1
1
4
.
1
8
0
.
0
5
6
.
7
0
5
.
0
3
0
.
2
9
1
4
.
2
0
0
.
0
0
3
5
.
6
8
0
.
2
9
9
1
.
0
6
3
E
0
.
6
0
1
4
.
3
4
1
4
.
2
6
0
.
0
3
6
.
6
0
4
.
9
2
0
.
2
8
1
4
.
1
8
0
.
0
0
3
5
.
5
2
0
.
7
5
9
1
.
4
8
4
E
0
.
6
8
1
4
.
2
8
1
4
.
9
1
0
.
0
5
7
.
2
6
4
.
9
2
0
.
2
9
1
4
.
2
7
0
.
0
0
3
6
.
2
4
3
.
1
6
9
6
.
0
6
5
E
0
.
5
9
1
4
.
3
0
1
3
.
6
3
0
.
0
2
6
.
6
4
5
.
1
3
0
.
2
9
1
4
.
5
7
0
.
0
0
3
5
.
3
9
1
.
1
1
9
1
.
6
7
6
E
0
.
6
0
1
4
.
1
4
1
4
.
1
9
0
.
3
1
6
.
0
7
4
.
9
5
0
.
2
9
1
4
.
1
1
0
.
0
0
3
5
.
5
4
0
.
2
7
9
0
.
4
7
R
2
1
-
5
1
E
0
.
6
6
1
3
.
6
2
1
5
.
2
2
0
.
0
0
7
.
0
7
4
.
1
1
0
.
3
7
1
3
.
4
6
0
.
0
0
3
7
.
3
6
0
.
0
0
9
1
.
8
7
2
E
0
.
5
8
1
3
.
3
0
1
5
.
1
0
0
.
0
0
7
.
2
4
4
.
1
4
0
.
3
4
1
3
.
8
5
0
.
0
0
3
7
.
7
9
0
.
0
0
9
2
.
3
4
3
2
1
-
1
3
1
E
0
.
9
3
1
4
.
8
0
1
4
.
9
2
0
.
0
0
6
.
3
1
4
.
7
5
0
.
2
2
1
3
.
0
8
0
.
0
0
3
5
.
7
4
1
.
4
4
9
2
.
1
9
2
E
0
.
8
8
1
5
.
1
6
1
5
.
0
5
0
.
0
3
8
.
4
1
5
.
4
2
0
.
1
5
1
3
.
4
0
0
.
0
1
3
5
.
9
9
1
.
5
0
9
6
.
0
0
3
E
0
.
9
1
1
4
.
6
9
1
5
.
1
1
0
.
0
3
8
.
0
0
5
.
3
4
0
.
1
0
1
3
.
1
4
0
.
0
3
3
5
.
8
3
1
.
7
2
9
4
.
9
0
3
E
1
.
0
4
1
5
.
0
1
1
5
.
0
9
0
.
0
2
8
.
1
7
5
.
2
6
0
.
1
8
1
3
.
1
2
0
.
0
0
3
5
.
9
8
1
.
5
6
9
5
.
4
3
4
E
0
.
7
3
1
4
.
1
3
1
5
.
0
3
0
.
0
5
9
.
2
4
5
.
5
4
0
.
2
4
1
4
.
3
9
0
.
0
2
3
8
.
1
9
0
.
2
4
9
7
.
8
0
5
E
0
.
6
7
1
4
.
4
7
1
4
.
4
6
0
.
0
4
9
.
2
3
5
.
9
5
0
.
3
4
1
5
.
5
8
0
.
4
3
3
7
.
2
9
0
.
5
8
9
9
.
0
4
6
E
1
.
1
0
1
5
.
6
3
1
5
.
4
3
0
.
0
4
8
.
1
7
5
.
4
5
0
.
1
8
1
3
.
1
0
0
.
0
2
3
7
.
1
2
1
.
9
1
9
8
.
1
5
7
E
0
.
9
1
1
5
.
7
4
1
5
.
3
7
0
.
0
6
8
.
3
9
5
.
3
7
0
.
1
2
1
3
.
5
0
0
.
0
3
3
7
.
6
9
1
.
5
1
9
8
.
6
9
8
E
0
.
6
8
1
4
.
2
9
1
4
.
6
8
0
.
0
3
9
.
1
9
6
.
1
4
0
.
3
3
1
4
.
8
1
0
.
0
3
3
7
.
2
3
0
.
6
7
9
8
.
0
8
9
E
0
.
6
5
1
4
.
5
8
1
4
.
1
3
0
.
0
3
9
.
0
4
6
.
0
6
0
.
5
7
1
5
.
0
2
0
.
3
1
3
6
.
6
2
1
.
2
4
9
8
.
2
5
1
5
.
3
7
1
5
.
5
1
0
.
0
3
8
.
6
3
5
.
5
6
0
.
1
2
1
3
.
8
3
0
.
0
0
3
6
.
1
9
1
.
6
5
9
7
.
7
7
1
.
0
0
1
5
.
3
4
1
5
.
3
5
0
.
0
5
8
.
5
6
5
.
5
9
0
.
2
0
1
3
.
4
4
0
.
0
2
3
7
.
2
9
1
.
4
1
9
8
.
2
5
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
8
4
 
B
I
O
T
I
T
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
m
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
!
P
a
s
.
N
a
2
0
3
1
2
0
3
M
g
O
e
g
o
x
2
0
T
1
0
2
u
n
o
t
o
o
8
1
0
3
1
0
2
3
.
0
T
o
t
a
l
n
s
-
a
1
E
0
.
3
8
1
2
.
0
5
1
7
.
3
7
0
.
1
8
7
.
8
6
2
.
9
3
0
.
8
3
1
1
.
6
9
0
.
0
0
3
8
.
5
5
0
.
0
4
9
1
.
8
8
2
E
0
.
3
3
1
2
.
0
5
1
6
.
4
0
0
.
1
6
7
.
8
4
2
.
9
4
0
.
7
1
1
1
.
8
2
0
.
0
0
3
8
.
4
7
0
.
0
0
9
0
.
7
2
3
E
0
.
2
8
1
1
.
9
6
1
6
.
3
2
0
.
2
8
7
.
2
6
2
.
9
5
0
.
8
9
1
1
.
9
9
0
.
0
0
3
8
.
1
5
0
.
1
7
9
0
.
2
5
4
E
0
.
3
1
1
1
.
9
0
1
6
.
8
1
0
.
2
6
6
.
5
9
2
.
9
6
0
.
7
9
1
1
.
8
0
0
.
0
0
3
8
.
4
9
0
.
0
0
8
9
.
9
1
5
E
0
.
3
2
1
1
.
6
7
1
6
.
8
5
0
.
2
0
7
.
6
0
2
.
8
7
0
.
7
7
1
1
.
4
3
0
.
0
0
3
8
.
6
4
0
.
0
4
9
0
.
3
9
6
E
0
.
4
1
1
1
.
9
0
1
7
.
0
0
0
.
1
7
7
.
1
9
3
.
0
2
0
.
7
8
1
2
.
6
8
0
.
0
0
3
8
.
1
0
0
.
0
4
9
1
.
2
9
1
5
-
3
5
1
2
0
.
6
6
1
2
.
7
8
1
5
.
0
0
0
.
1
2
9
.
0
3
4
.
3
1
0
.
6
2
1
3
.
9
9
0
.
0
0
3
7
.
2
2
0
.
1
5
9
3
.
8
8
2
E
0
.
3
8
1
2
.
7
7
1
4
.
4
9
0
.
3
0
6
.
9
6
3
.
8
8
0
.
4
1
1
3
.
2
5
0
.
0
3
3
9
.
0
4
0
.
3
4
9
1
.
8
5
3
E
0
.
3
9
1
2
.
7
5
1
4
.
3
7
0
.
2
5
6
.
9
9
4
.
4
2
0
.
4
5
1
3
.
6
3
0
.
0
0
3
7
.
4
0
0
.
4
2
9
1
.
0
7
4
E
0
.
3
4
1
2
.
4
5
1
4
.
6
4
0
.
3
3
7
.
4
9
3
.
9
6
0
.
4
4
1
3
.
8
7
0
.
0
0
3
7
.
9
5
0
.
1
4
9
1
.
6
1
5
E
0
.
4
4
1
1
.
9
6
1
4
.
4
5
0
.
3
5
7
.
4
3
4
.
0
1
0
.
4
6
1
3
.
5
8
0
.
0
0
3
9
.
5
3
0
.
1
0
9
2
.
3
1
6
E
0
.
5
5
1
2
.
8
8
1
5
.
6
0
0
.
2
6
7
.
5
4
4
.
3
3
0
.
4
1
1
4
.
2
0
0
.
0
0
3
8
.
2
4
0
.
2
3
9
4
.
2
4
A
5
-
5
8
1
E
0
.
3
7
1
3
.
0
5
1
5
.
4
2
0
.
0
4
8
.
6
3
4
.
6
5
0
.
4
9
1
3
.
5
1
0
.
0
0
3
7
.
9
6
0
.
3
9
9
4
.
5
1
2
E
0
.
5
1
1
3
.
5
8
1
5
.
0
8
0
.
1
1
8
.
5
5
5
.
0
6
0
.
5
9
1
3
.
7
9
0
.
0
0
3
7
.
5
3
0
.
2
5
9
5
.
0
5
3
E
0
.
7
7
1
3
.
5
3
1
4
.
5
9
0
.
0
3
8
.
0
1
6
.
9
6
0
.
2
6
1
1
.
9
9
0
.
0
0
3
5
.
3
6
1
.
8
7
9
3
.
3
7
4
2
0
.
5
0
1
3
.
1
5
1
5
.
2
2
0
.
0
4
8
.
4
9
5
.
2
3
0
.
6
8
1
4
.
0
1
0
.
0
0
3
7
.
1
3
0
.
7
1
9
5
.
1
6
A
5
-
6
3
1
E
0
.
7
7
1
4
.
9
0
1
4
.
7
0
0
.
0
4
7
.
9
7
6
.
9
7
0
.
1
6
1
2
.
2
7
0
.
0
4
3
5
.
5
2
3
.
1
6
9
6
.
5
0
2
B
0
.
8
6
1
4
.
9
8
1
4
.
4
2
0
.
0
4
7
.
7
6
7
.
0
5
0
.
2
1
1
2
.
4
3
0
.
0
0
3
4
.
6
1
3
.
1
0
9
5
.
4
6
3
E
0
.
7
0
1
4
.
3
5
1
4
.
5
8
0
.
0
8
7
.
6
8
7
.
1
8
0
.
2
0
1
2
.
6
3
0
.
0
0
3
4
.
8
8
2
.
5
4
9
4
.
8
2
4
E
0
.
8
1
1
4
.
6
3
1
4
.
6
0
0
.
0
2
7
.
8
8
7
.
0
8
0
.
2
0
1
2
.
3
5
0
.
0
0
3
4
.
6
9
2
.
6
8
9
4
.
9
4
5
E
0
.
8
3
1
4
.
3
6
1
4
3
0
0
.
0
2
7
.
7
6
6
.
8
0
0
.
1
0
1
1
.
9
2
0
.
0
0
3
4
.
4
9
3
.
6
1
9
4
.
1
9
A
5
-
6
9
1
E
0
.
8
9
1
4
.
8
9
1
4
.
7
6
0
.
0
2
7
.
8
6
7
.
0
7
0
.
2
0
1
2
.
2
3
0
.
0
0
3
4
.
6
9
2
.
7
7
9
5
.
3
8
2
a
0
.
8
0
1
4
.
9
8
1
4
.
2
2
0
.
0
4
7
.
8
3
6
.
8
7
0
.
2
4
1
2
.
7
1
0
.
0
0
3
4
.
0
0
3
.
3
5
9
5
.
0
4
3
E
0
.
7
4
1
4
.
0
7
1
3
.
9
2
0
.
0
4
7
.
5
7
6
.
7
0
0
.
2
0
1
1
.
8
0
0
.
0
0
3
2
.
8
4
2
.
7
4
9
0
.
6
2
4
E
0
.
7
7
1
4
.
4
0
1
4
.
9
0
0
.
0
2
8
.
1
8
6
.
7
7
0
.
1
9
1
1
.
9
4
0
.
0
0
3
5
.
3
4
1
.
7
1
9
4
.
2
2
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
8
5
 
B
I
O
T
I
T
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
9
P
e
n
.
N
a
2
0
1
1
2
0
3
I
9
0
0
1
0
£
2
0
T
1
0
2
I
b
o
F
e
O
N
1
0
8
1
0
2
B
a
O
T
o
t
a
l
A
5
-
7
1
l
E
0
.
6
7
1
3
.
6
9
1
4
.
3
4
0
.
0
5
7
.
9
7
5
.
5
6
0
.
4
3
1
3
.
5
8
0
.
0
3
3
5
.
9
5
0
.
3
2
9
2
.
5
9
2
E
0
.
6
0
1
3
.
5
0
1
4
.
8
7
0
.
2
3
7
.
6
7
5
.
3
8
0
.
4
4
1
3
.
5
4
0
.
0
0
3
6
.
4
4
0
.
0
4
9
2
.
7
1
3
E
0
.
2
9
1
3
.
3
1
1
5
.
3
3
0
.
0
0
7
.
8
9
4
.
5
6
0
.
4
8
1
3
.
1
7
0
.
0
3
3
6
.
9
3
0
.
0
2
9
2
.
0
1
4
E
0
.
6
3
1
4
.
0
5
1
4
.
3
1
0
.
0
0
7
.
6
6
5
.
3
0
0
.
4
8
1
3
.
6
0
0
.
0
2
3
6
.
2
8
0
.
1
0
9
2
.
4
3
5
E
0
.
5
6
1
3
.
7
1
1
4
.
3
1
0
.
0
3
7
.
7
3
5
.
6
5
0
.
4
6
1
3
.
6
7
0
.
0
4
3
5
.
5
4
0
.
3
4
9
2
.
0
4
6
E
0
.
6
8
1
4
.
1
8
1
4
.
5
7
0
.
0
4
8
.
0
4
5
.
5
5
0
.
3
9
1
3
.
6
0
0
.
0
6
3
4
.
6
9
0
.
2
1
9
2
.
0
1
7
E
0
.
6
8
1
3
.
8
7
1
4
.
4
0
0
.
0
1
7
.
7
7
5
.
5
1
0
.
4
0
1
3
.
1
9
0
.
0
6
3
6
.
6
2
0
.
0
3
9
2
.
5
4
8
E
0
.
7
4
1
3
.
6
4
1
4
.
1
0
0
.
0
2
7
.
6
5
5
.
8
4
0
.
4
3
1
3
.
2
5
0
.
0
4
3
6
.
2
0
0
.
3
1
9
2
.
2
2
9
E
0
.
6
7
1
3
.
5
6
1
3
.
9
5
0
.
0
6
7
.
3
1
6
.
1
6
0
.
3
3
1
2
.
9
5
0
.
0
3
3
4
.
8
6
0
.
9
5
9
0
.
8
3
1
0
E
0
.
7
2
1
4
.
9
4
1
4
.
1
1
0
.
0
1
6
.
9
0
6
.
3
8
0
.
2
7
1
3
.
0
1
0
.
0
2
3
5
.
1
3
2
.
2
4
9
3
.
7
3
A
5
-
7
2
1
E
0
.
7
5
1
4
.
5
2
1
4
.
5
9
0
.
0
3
7
.
4
7
6
.
4
3
0
.
2
4
1
2
.
7
7
0
.
0
0
3
6
.
2
6
1
.
3
7
9
4
.
4
3
2
E
0
.
7
2
1
4
.
9
0
1
4
.
5
5
0
.
0
6
7
.
4
3
6
.
6
1
0
.
2
3
1
2
.
9
8
0
.
0
0
3
6
.
1
6
2
.
2
1
9
5
.
8
5
3
E
0
.
7
0
1
4
.
6
7
1
3
.
9
7
0
.
0
1
6
.
9
9
6
.
5
5
0
.
2
6
1
3
.
1
5
0
.
0
0
3
4
.
8
4
2
.
4
6
9
3
.
6
0
4
E
0
.
5
6
1
4
.
6
5
1
3
.
9
1
0
.
0
2
6
.
9
5
6
.
4
2
0
.
2
8
1
3
.
2
5
0
.
0
0
3
3
.
9
4
1
.
7
1
9
1
.
6
9
5
E
0
.
7
2
1
4
.
7
6
1
5
.
2
9
0
.
0
5
7
.
5
9
6
.
0
1
0
.
2
0
1
2
.
7
2
0
.
0
0
3
6
.
7
5
0
.
3
2
9
4
.
4
1
A
5
-
7
5
1
E
0
.
9
5
1
5
.
2
0
1
4
.
8
0
0
.
0
0
6
.
6
7
6
.
5
2
0
.
1
0
1
1
.
9
5
0
.
0
0
3
4
.
3
4
2
.
7
9
9
3
.
3
2
2
E
0
.
8
0
1
5
.
1
0
1
3
.
8
9
0
.
0
0
6
.
5
9
6
.
0
2
0
.
1
6
1
2
.
1
9
0
.
0
0
3
4
.
6
1
2
.
5
0
9
1
.
8
6
3
E
1
.
0
1
1
5
.
4
8
1
5
.
2
1
0
.
0
0
6
.
6
4
6
.
3
8
0
.
2
9
1
2
.
2
5
0
.
0
0
3
5
.
2
3
2
.
7
6
9
5
.
2
5
4
E
0
.
9
6
1
4
.
5
5
1
5
.
4
4
0
.
0
3
6
.
8
4
6
.
1
4
0
.
1
6
1
1
.
7
3
0
.
0
0
3
5
.
7
8
1
.
3
7
9
3
.
0
0
5
E
0
.
8
0
1
4
.
8
0
1
4
.
9
5
0
.
0
0
6
.
4
8
5
.
9
4
0
.
1
4
1
2
.
0
0
0
.
0
0
3
4
.
5
6
2
.
4
0
9
2
.
0
7
6
E
0
.
9
2
1
5
.
4
3
1
5
.
5
0
0
.
0
2
6
.
6
6
6
.
3
0
0
.
1
8
1
1
.
9
5
0
.
0
0
3
4
.
6
1
4
.
0
2
9
5
.
5
9
7
E
0
.
8
2
1
5
.
0
4
1
4
.
8
4
0
.
0
1
6
.
6
0
6
.
4
4
0
.
1
8
1
2
.
4
6
0
.
0
0
3
5
.
1
1
2
.
6
8
9
4
.
1
8
1
2
1
-
1
8
1
E
0
.
6
2
1
2
.
2
0
1
6
.
5
8
0
.
0
2
7
.
4
1
2
.
7
5
0
.
8
3
1
2
.
2
4
0
.
0
0
3
8
.
8
8
0
.
0
0
9
1
.
5
3
2
E
0
.
6
1
1
2
.
5
4
1
6
.
6
5
0
.
0
0
7
.
7
8
2
.
7
5
0
.
9
0
1
2
.
4
8
0
.
0
0
3
8
.
6
8
0
.
0
0
9
2
.
3
9
3
E
0
.
5
8
1
2
.
3
5
1
6
.
7
1
0
.
0
5
7
.
5
0
2
.
8
3
0
.
8
0
1
2
.
7
3
0
.
0
0
3
9
.
1
4
0
.
0
0
9
2
.
6
9
4
E
0
.
5
0
1
3
.
4
7
1
5
.
2
4
0
.
0
5
7
.
2
2
2
.
6
2
0
.
8
9
1
1
.
6
8
0
.
0
0
3
8
.
2
7
0
.
0
0
8
9
.
9
4
5
E
0
.
5
2
1
2
.
4
8
1
6
.
8
0
0
.
0
2
7
.
8
7
2
.
9
3
0
.
8
9
1
2
.
6
6
0
.
0
2
3
8
.
3
6
0
.
0
0
9
2
.
5
5
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
8
6
 
B
I
O
T
I
T
E
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
#
P
e
a
.
N
a
2
0
M
g
O
A
1
2
0
3
8
1
0
2
x
2
0
C
a
O
B
a
o
T
1
0
2
M
n
O
8
.
0
T
o
t
a
l
1
4
-
7
0
1
C
0
.
6
7
1
6
.
4
2
1
3
.
3
9
3
8
.
2
5
9
.
2
7
0
.
0
0
0
.
1
5
4
.
5
0
0
.
5
6
1
4
.
7
0
9
7
.
9
1
2
E
0
.
6
0
1
6
.
3
7
1
3
.
4
1
3
8
.
0
0
9
.
3
6
0
.
0
0
0
.
1
0
4
.
3
2
0
.
5
7
1
4
.
5
0
9
7
.
1
9
3
0
.
6
2
1
5
.
6
4
1
3
.
9
1
3
6
.
4
7
8
.
7
6
0
.
0
0
1
.
3
7
4
.
6
3
0
.
5
6
1
4
.
8
4
9
6
.
7
9
A
5
-
9
1
C
0
.
4
9
1
5
.
3
8
1
3
.
4
7
3
5
.
3
0
7
.
4
0
0
.
2
3
0
.
5
3
4
.
3
5
0
.
4
9
1
3
.
1
4
9
0
.
7
8
2
C
0
.
3
7
1
4
.
9
5
1
3
.
4
5
3
7
.
8
9
6
.
9
8
0
.
1
8
0
.
5
0
4
.
4
2
0
.
5
0
1
2
.
9
8
9
2
.
2
0
3
E
0
.
4
0
1
5
.
8
3
1
2
.
9
4
3
7
.
5
1
6
.
5
6
0
.
2
3
0
.
2
8
4
.
2
5
0
.
3
7
1
1
.
9
1
9
0
.
2
8
4
E
0
.
6
8
1
5
.
6
0
1
3
.
3
2
3
6
.
5
0
8
.
8
1
0
.
0
0
1
.
2
0
4
.
9
6
0
.
5
1
1
4
.
0
6
9
5
.
6
3
A
5
-
2
9
1
C
0
.
6
5
1
7
.
0
6
1
2
.
9
7
3
7
.
8
2
9
.
1
1
0
.
0
0
0
.
2
3
3
.
2
0
0
.
9
7
1
2
.
8
5
9
4
.
8
5
2
E
0
.
6
4
1
8
.
7
0
1
2
.
3
6
3
9
.
6
3
9
.
1
4
0
.
0
2
0
.
0
0
2
.
6
1
0
.
8
8
1
1
.
7
6
9
5
.
7
3
3
E
0
.
6
2
1
6
.
7
7
1
3
.
2
5
3
7
.
9
4
9
.
0
0
0
.
0
0
0
.
4
0
3
.
9
2
0
.
9
2
1
2
.
9
6
9
5
.
7
7
4
E
0
.
6
3
1
8
.
9
7
1
2
.
5
0
3
9
.
7
0
8
.
7
8
0
.
0
5
0
.
0
0
2
.
8
2
0
.
8
3
1
1
.
4
4
9
5
.
7
1
A
5
-
3
0
1
E
0
.
5
8
1
5
.
1
8
1
4
.
5
1
3
4
.
4
4
6
.
8
8
0
.
1
6
1
.
9
2
6
.
4
8
0
.
3
5
1
2
.
3
9
9
2
.
8
9
2
E
0
.
4
5
1
4
.
9
6
1
3
.
8
2
3
5
.
0
1
6
.
6
6
0
.
2
7
0
.
8
4
6
.
2
9
0
.
2
8
1
2
.
1
5
9
0
.
7
3
3
C
0
.
7
0
1
4
.
6
5
1
4
.
7
2
3
5
.
6
4
8
.
1
1
0
.
0
0
1
.
9
2
6
.
6
7
0
.
3
9
1
3
.
7
2
9
6
.
5
2
A
5
-
3
1
1
E
0
.
6
5
1
6
.
1
5
1
5
.
2
7
3
5
.
9
0
6
.
5
3
0
.
2
6
1
.
7
5
6
.
2
0
0
.
1
7
1
1
.
7
5
9
4
.
6
2
2
0
.
7
1
1
6
.
2
4
1
5
.
1
3
3
5
.
6
8
6
.
8
5
0
.
2
1
1
.
9
6
6
.
0
4
0
.
1
4
1
1
.
1
0
9
4
.
0
5
C
0
.
8
9
1
6
.
6
0
1
5
.
5
9
3
6
.
2
7
7
.
6
3
0
.
0
2
2
.
2
5
6
.
3
6
0
.
1
3
1
1
.
9
7
9
7
.
7
1
A
5
-
3
7
1
E
0
.
6
9
1
7
.
2
1
1
3
.
2
6
3
8
.
2
3
8
.
7
3
0
.
0
1
0
.
3
9
3
.
6
5
0
.
8
1
1
2
.
4
7
9
5
.
4
5
2
E
0
.
3
3
1
6
.
0
3
1
2
.
8
7
3
9
.
1
2
7
.
3
6
0
.
2
0
0
.
0
2
2
.
5
5
1
.
2
8
1
1
.
1
1
9
0
.
8
9
3
E
0
.
4
0
1
8
.
2
3
1
1
.
7
5
3
8
.
6
9
7
.
8
4
0
.
1
5
0
.
0
0
2
.
6
6
0
.
7
3
1
1
.
0
5
9
1
.
5
0
A
5
-
6
8
1
E
0
.
6
8
1
7
.
3
3
1
3
.
2
2
3
8
.
3
5
8
.
6
3
0
.
0
4
0
.
0
8
3
.
9
1
0
.
5
3
1
2
.
6
8
9
5
.
4
5
2
E
0
.
5
6
1
6
.
5
4
1
2
.
9
5
3
7
.
0
5
7
.
6
4
0
.
2
3
0
.
1
7
4
.
0
4
0
.
5
1
1
3
.
1
8
9
2
.
8
7
3
B
0
.
6
5
1
7
.
0
0
1
3
.
2
6
3
7
.
7
7
8
.
9
5
0
.
0
1
0
.
1
5
3
.
9
9
0
.
5
9
1
3
.
1
7
9
5
.
5
3
A
5
-
7
9
1
E
0
.
6
2
1
8
.
6
1
1
2
.
3
4
3
9
.
9
5
9
.
0
5
0
.
0
0
0
.
0
0
2
.
7
9
0
.
9
0
1
1
.
9
7
9
6
.
2
2
2
E
0
.
3
9
1
8
.
0
9
1
2
.
1
6
3
8
.
6
7
8
.
6
9
0
.
0
1
0
.
0
0
2
.
6
7
0
.
8
6
1
2
.
2
1
9
3
.
7
3
8
3
E
0
.
5
8
1
7
.
8
6
1
1
.
6
1
3
8
.
1
6
9
.
0
7
0
.
0
0
0
.
0
2
2
.
6
7
0
.
7
9
1
2
.
3
1
9
3
.
0
7
4
B
0
.
6
9
1
9
.
3
5
1
2
.
6
8
4
0
.
2
9
9
.
1
4
0
.
0
0
0
.
0
0
2
.
7
5
0
.
8
5
1
2
.
4
0
9
8
.
1
5
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
8
7
 
C
L
I
N
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
 
s
a
m
p
l
e
G
r
a
i
n
3
F
o
o
.
N
a
2
0
A
1
2
0
3
M
9
0
C
a
O
K
2
0
T
1
0
2
M
n
O
F
e
O
N
1
0
8
1
0
2
S
a
c
T
o
t
a
l
R
8
-
2
5
1
E
0
.
5
5
1
.
3
0
1
3
.
5
0
2
1
.
4
7
0
.
0
1
0
.
2
6
0
.
9
8
8
.
4
4
0
.
0
0
5
2
.
1
9
0
.
1
4
9
8
.
8
4
1
C
0
.
5
5
1
.
8
8
1
3
.
9
3
2
1
.
4
8
0
.
0
0
0
.
3
9
0
.
7
8
8
.
5
8
0
.
0
0
5
2
.
3
8
0
.
0
6
1
0
0
.
0
3
2
E
0
.
4
8
0
.
7
4
1
4
.
1
6
2
0
.
6
3
0
.
0
0
0
.
1
5
1
.
2
5
8
.
7
8
0
.
0
0
5
2
.
1
6
0
.
1
2
9
8
.
4
7
2
C
0
.
5
1
1
.
1
5
1
3
.
7
1
2
1
.
3
4
0
.
0
0
0
.
2
8
1
.
0
0
8
.
3
3
0
.
0
0
5
2
.
5
2
0
.
1
7
9
9
.
0
1
3
E
0
.
4
7
0
.
8
1
1
4
.
3
0
2
0
.
7
0
0
.
0
2
0
.
1
5
1
.
1
8
8
.
6
2
0
.
0
0
5
3
.
8
0
0
.
1
0
1
0
0
.
1
5
4
E
0
.
5
7
1
.
2
5
1
3
.
9
2
2
1
.
3
0
0
.
0
2
0
.
2
9
0
.
9
5
8
.
7
1
0
.
0
0
5
2
.
5
3
0
.
0
4
9
9
.
5
8
4
C
0
.
5
3
0
.
9
8
1
4
.
1
1
2
0
.
6
7
0
.
0
3
0
.
1
8
1
.
1
7
8
.
4
8
0
.
0
0
5
2
.
8
0
0
.
0
5
9
9
.
0
0
5
E
0
.
6
3
1
.
8
3
1
2
.
8
5
2
1
.
6
9
0
.
0
0
0
.
3
4
0
.
7
3
8
.
7
7
0
.
0
0
5
1
.
4
0
0
.
1
1
9
8
.
3
5
6
E
0
.
6
9
2
.
2
7
1
3
.
1
5
2
1
.
1
8
0
.
0
0
0
.
4
4
0
.
8
4
9
.
2
3
0
.
0
0
5
1
.
2
1
0
.
1
8
9
9
.
1
9
7
E
0
.
4
4
0
.
8
9
1
4
.
4
5
2
0
.
4
7
0
.
0
0
0
.
1
9
1
.
2
3
8
.
7
3
0
.
0
0
5
0
.
8
5
0
.
0
4
9
7
.
2
9
8
E
0
.
5
7
1
.
1
1
1
3
.
8
1
2
1
.
4
1
0
.
0
0
0
.
2
9
1
.
1
4
8
.
4
8
0
.
0
0
5
1
.
8
4
0
.
0
4
9
8
.
6
9
9
E
0
.
6
2
1
.
8
6
1
4
.
0
0
2
1
.
0
4
0
.
0
0
0
.
3
4
0
.
9
3
8
.
6
8
0
.
0
0
5
1
.
6
6
0
.
2
3
9
9
.
3
6
1
0
B
0
.
6
6
1
.
6
0
1
3
.
9
4
2
1
.
1
4
0
.
0
0
0
.
3
7
0
.
8
4
8
.
2
4
0
.
0
0
5
2
.
0
5
0
.
0
0
9
8
.
8
4
1
1
E
0
.
6
3
1
.
3
9
1
4
.
0
9
2
1
.
5
4
0
.
0
0
0
.
2
6
0
.
8
8
8
.
0
6
0
.
0
2
5
2
.
3
8
0
.
0
3
9
9
.
2
8
1
2
E
0
.
6
4
1
.
5
4
1
4
.
0
8
2
1
.
5
4
0
.
0
1
0
.
3
2
0
.
8
5
8
.
4
4
0
.
0
0
5
2
.
3
1
0
.
0
9
9
9
.
8
2
1
3
E
0
.
5
8
1
.
2
7
1
3
.
7
4
2
1
.
6
4
0
.
0
2
0
.
2
8
0
.
8
7
8
.
2
9
0
.
0
0
5
2
.
6
9
0
.
1
2
9
9
.
5
0
R
8
-
4
4
1
E
0
.
5
9
1
.
8
4
1
4
.
3
2
2
0
.
7
7
0
.
0
0
0
.
4
3
0
.
8
2
8
.
4
7
0
.
0
0
5
3
.
1
9
0
.
0
0
1
0
0
.
4
3
2
E
0
.
4
6
0
.
6
9
1
4
.
1
8
2
0
.
8
1
0
.
0
0
0
.
1
8
1
.
1
5
8
.
5
3
0
.
0
0
5
3
.
2
4
0
.
0
0
9
9
.
2
4
2
C
0
.
4
8
0
.
7
1
1
4
.
3
7
2
1
.
1
1
0
.
0
0
0
.
1
2
1
.
2
3
8
.
5
1
0
.
0
0
5
3
.
6
0
0
.
0
0
1
0
0
.
1
3
3
E
0
.
5
7
1
.
6
0
1
3
.
4
9
2
3
.
1
4
0
.
0
0
0
.
2
6
0
.
7
5
8
.
2
5
0
.
0
0
5
0
.
5
1
0
.
0
0
9
8
.
5
7
4
E
1
.
0
4
0
.
7
6
1
4
.
3
6
2
2
.
2
9
0
.
0
0
0
.
1
9
1
.
2
9
8
.
1
2
0
.
0
0
4
8
.
4
8
0
.
0
0
9
6
.
5
3
5
E
0
.
6
1
0
.
8
0
1
3
.
8
0
2
2
.
0
4
0
.
0
0
0
.
2
2
1
.
2
8
8
.
9
0
0
.
0
0
5
0
.
5
9
0
.
0
0
9
8
.
2
4
6
E
0
.
5
3
2
.
1
0
1
3
.
9
1
2
1
.
2
3
0
.
0
0
0
.
4
8
0
.
7
2
9
.
7
3
0
.
0
0
5
2
.
4
5
0
.
0
0
1
0
1
.
1
5
6
C
0
.
4
4
1
.
7
1
1
3
.
8
4
2
1
.
5
3
0
.
0
0
0
.
3
6
0
.
7
6
8
.
5
8
0
.
0
0
5
3
.
0
1
0
.
0
0
1
0
0
.
2
3
7
E
0
.
5
4
1
.
4
2
1
3
.
7
3
2
0
.
9
8
0
.
0
0
0
.
2
4
0
.
8
9
8
.
4
8
0
.
0
0
5
2
.
9
9
0
.
0
0
9
9
.
2
7
7
C
0
.
5
6
1
.
3
7
1
3
.
7
1
2
1
.
3
4
0
.
0
0
0
.
2
6
0
.
9
5
8
.
5
9
0
.
0
0
5
2
.
8
1
0
.
0
0
9
9
.
5
9
8
E
1
.
0
4
0
.
7
6
1
4
.
3
6
2
2
.
2
9
0
.
0
0
0
.
1
9
1
.
2
9
8
.
1
2
0
.
0
0
4
8
.
4
8
0
.
0
0
9
6
.
5
3
9
C
0
.
6
7
1
.
2
1
1
4
.
6
9
2
1
.
2
4
0
.
0
0
0
.
2
4
1
.
0
4
8
.
8
3
0
.
0
0
5
4
.
3
5
0
.
0
0
1
0
2
.
2
7
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
&
H
3
 
C
L
I
N
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
P
o
a
.
v
.
2
0
1
1
2
0
3
M
g
O
C
a
O
x
2
0
T
1
0
2
u
n
o
F
e
O
N
1
0
8
1
0
2
B
a
O
T
o
t
a
l
n
a
-
4
s
1
E
0
.
6
4
2
.
1
3
1
3
.
7
9
2
1
.
4
3
0
.
0
0
0
.
3
9
0
.
7
9
8
.
7
7
0
.
0
0
5
2
.
6
3
0
.
0
0
1
0
0
.
5
7
2
E
0
.
6
1
1
.
3
3
1
3
.
8
0
2
1
.
4
0
0
.
0
0
0
.
3
0
0
.
8
3
8
.
2
9
0
.
0
2
5
2
.
3
9
0
.
0
0
9
8
.
9
7
2
c
0
.
6
3
1
.
9
6
1
3
.
3
1
2
1
.
9
1
0
.
0
0
0
.
4
0
0
.
7
7
8
.
7
9
0
.
0
0
5
1
.
9
1
0
.
0
7
9
9
.
7
5
3
E
0
.
7
1
1
.
6
3
1
4
.
0
4
2
1
.
1
9
0
.
0
0
0
.
2
8
0
.
9
6
8
.
6
5
0
.
0
0
5
2
.
3
3
0
.
0
0
9
9
.
7
9
4
e
0
.
6
1
2
.
0
0
1
4
.
2
9
2
0
.
7
3
0
.
0
0
0
.
4
7
0
.
7
1
8
.
1
3
0
.
0
0
5
2
.
1
2
0
.
0
0
9
9
.
0
6
5
a
0
.
5
7
1
.
8
5
1
4
.
2
4
2
1
.
4
6
0
.
0
0
0
.
4
3
0
.
7
8
8
.
1
9
0
.
0
0
5
2
.
7
3
0
.
0
6
1
0
0
.
3
1
6
a
0
.
5
5
1
.
9
6
1
3
.
9
0
2
2
.
0
3
0
.
0
0
0
.
3
0
0
.
7
0
8
.
5
5
0
.
0
4
5
1
.
6
7
0
.
0
5
9
9
.
7
5
6
c
0
.
6
4
2
.
4
3
1
3
.
1
0
2
1
.
8
4
0
.
0
0
0
.
4
2
0
.
6
3
9
.
0
7
0
.
2
2
5
1
.
4
6
0
.
0
0
9
9
.
8
1
7
E
0
.
6
1
1
.
6
2
1
4
.
0
9
2
1
.
6
4
0
.
0
0
0
.
3
2
0
.
8
4
8
.
3
3
0
.
0
3
5
3
.
0
7
0
.
0
0
1
0
0
.
5
5
7
c
0
.
6
6
2
.
0
6
1
3
.
9
8
2
0
9
9
0
.
0
0
0
.
4
0
0
.
9
2
8
.
2
6
0
.
0
3
5
2
.
5
2
0
.
0
2
9
9
.
8
4
8
E
0
.
5
9
1
.
2
1
1
4
.
1
6
2
1
.
2
0
0
.
0
0
0
.
2
0
0
.
9
5
8
.
2
8
0
.
0
3
5
3
.
1
3
1
.
8
6
1
0
1
.
6
1
8
c
0
.
5
7
1
.
2
2
1
4
.
2
5
2
1
.
2
0
0
.
0
0
0
.
2
6
1
.
0
5
8
.
6
8
0
.
0
4
5
3
.
1
3
0
.
0
0
1
0
0
.
4
0
9
a
0
.
6
6
2
.
0
5
1
3
.
9
9
2
1
.
5
0
0
.
0
0
0
.
4
6
0
.
8
7
8
.
8
3
0
.
0
3
5
2
.
5
0
0
.
0
0
1
0
0
.
8
9
1
0
E
0
.
6
9
1
.
6
1
1
3
.
5
9
1
9
.
1
1
0
.
0
0
0
.
3
3
1
.
3
0
1
0
.
1
6
0
.
0
3
5
1
.
5
8
0
.
0
0
9
8
.
4
0
1
1
a
0
.
5
9
1
.
2
5
1
3
.
4
3
2
1
.
1
9
0
.
0
0
0
.
2
8
1
.
0
2
8
.
6
0
0
.
0
2
5
2
.
2
6
0
.
0
0
9
8
.
6
4
3
1
1
-
5
1
e
0
.
5
6
1
.
6
1
1
4
.
1
5
2
1
.
5
7
0
.
0
0
0
.
3
6
0
.
6
4
7
.
9
6
0
.
0
2
5
1
.
6
8
0
.
0
0
9
8
.
5
5
2
E
0
.
5
7
1
.
8
0
1
3
.
7
2
2
1
.
8
6
0
.
0
0
0
.
4
1
0
.
5
2
8
.
0
9
0
.
0
0
5
1
.
7
2
0
.
0
0
9
8
.
6
9
3
B
0
.
6
1
1
.
6
6
1
4
.
1
8
2
0
9
7
0
.
0
0
0
.
3
6
0
.
5
6
8
.
0
1
0
.
0
4
5
1
.
8
7
0
.
0
0
9
8
.
2
6
4
E
0
.
5
1
1
.
6
3
1
3
.
8
4
2
1
.
5
1
0
.
0
0
0
.
3
5
0
.
5
9
7
.
9
9
0
.
0
2
5
2
.
2
8
0
.
0
0
9
8
.
7
2
4
c
0
.
5
2
1
.
6
4
1
3
.
9
9
2
1
.
1
0
0
.
0
0
0
.
3
6
0
.
6
5
8
.
0
0
0
.
0
1
5
2
.
2
1
0
.
0
0
9
8
.
4
8
5
a
0
.
6
0
2
.
1
4
1
3
.
4
5
2
1
.
1
0
0
.
0
0
0
.
4
8
0
.
5
8
8
.
2
3
0
.
0
0
5
1
.
1
6
0
.
0
0
9
7
.
7
4
6
a
0
.
6
2
2
.
0
6
1
3
.
5
9
2
0
.
9
3
0
.
0
0
0
.
4
4
0
.
6
4
8
.
1
9
0
.
0
2
5
0
.
6
4
0
.
0
8
9
7
.
2
1
6
c
0
.
5
9
1
.
5
9
1
4
.
0
0
2
1
.
1
9
0
.
0
3
0
.
3
1
0
.
6
8
7
.
8
9
0
.
0
4
5
0
.
7
0
0
.
0
0
9
7
.
0
2
7
s
0
.
5
5
1
.
8
2
1
3
.
9
3
2
1
.
1
9
0
.
0
0
0
.
4
0
0
.
6
3
8
.
2
2
0
.
0
1
5
2
.
1
3
2
.
0
8
1
0
0
.
9
6
8
E
0
.
5
5
1
.
6
9
1
3
.
8
5
2
2
.
1
6
0
.
0
0
0
.
4
2
0
.
6
0
8
.
0
7
0
.
0
0
5
2
.
1
4
0
.
0
0
9
9
.
4
8
9
E
0
.
5
0
1
.
7
6
1
4
.
0
7
2
2
.
3
9
0
.
0
0
0
.
4
2
0
.
7
0
8
.
1
6
0
.
0
4
5
2
.
3
4
0
.
0
0
1
0
0
.
3
8
1
0
B
0
.
5
2
1
.
5
8
1
4
.
3
8
2
1
.
6
1
0
.
0
0
0
.
3
6
0
.
6
0
8
.
0
0
0
.
0
0
5
2
.
6
0
0
.
0
0
9
9
.
6
5
1
1
E
0
.
5
9
1
.
7
9
1
4
.
4
1
2
1
.
7
0
0
.
0
2
0
.
4
2
0
.
6
5
8
.
2
3
0
.
0
0
5
1
.
8
0
0
.
0
5
9
9
.
6
6
m

o

m

o

n

o

m

o

N

N

W

A

-

I

‘

o

m

U

‘

O

J

x

D

m

o

m

o

m

o

C

m

o

O

D

\

H

o

H

m

o

n

o

m

o

w

m

o

H

m

H

m

o

I

w

—

b

r

m

a

m

—

r

q

H

o

H

o

H

m

o

m

o

m

o

m

o

m

o

m

o

H

m

n

o

m

o

2
8
9
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
C
L
I
N
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
4
F
o
o
.
N
a
2
0
1
1
2
0
3
u
g
o
C
a
O
x
z
o
T
1
0
2
u
h
o
r
o
o
N
1
0
8
1
0
2
B
a
O
T
o
t
a
l
 
R
2
3
-
1
3
1
.
6
2
1
.
0
6
1
4
.
2
3
2
0
.
7
5
0
.
0
0
0
.
2
0
1
.
1
0
8
.
4
4
0
.
0
3
5
3
.
6
3
0
.
0
0
1
0
0
.
0
6
.
5
7
1
.
2
2
1
3
.
8
6
2
1
.
5
7
0
.
0
0
0
.
2
2
0
.
8
1
8
.
2
8
0
.
0
1
5
3
.
6
9
0
.
0
0
1
0
0
.
2
3
.
6
2
0
.
7
3
1
3
.
4
9
2
1
.
1
7
0
.
0
0
0
.
2
1
1
.
2
4
9
.
4
2
0
.
0
4
5
3
.
2
0
0
.
0
0
1
0
0
.
1
2
.
6
0
1
.
0
4
1
3
.
8
2
2
1
.
3
7
0
.
0
0
0
.
2
2
1
.
0
6
8
.
6
1
0
.
0
1
5
3
.
0
3
0
.
0
0
9
9
.
7
6
.
5
6
1
.
0
0
1
4
.
3
6
2
1
.
1
8
0
.
0
0
0
.
1
8
1
.
1
8
8
.
6
6
0
.
0
2
5
3
.
4
3
0
.
0
0
1
0
0
.
5
7
.
7
1
1
.
7
3
1
3
.
9
4
2
1
.
2
8
0
.
0
0
0
.
3
5
0
.
9
3
8
.
6
0
0
.
2
0
5
2
.
4
4
0
.
0
0
1
0
0
.
1
8
.
5
8
1
.
2
5
1
3
.
9
1
2
1
.
7
5
0
.
0
0
0
.
2
9
1
.
1
2
8
.
4
7
0
.
0
3
5
3
.
3
5
0
.
0
0
1
0
0
.
7
5
.
5
1
0
.
8
0
1
4
.
5
7
2
0
.
7
7
0
.
0
0
0
.
0
9
1
.
4
7
8
.
9
6
0
.
0
3
5
4
.
8
6
0
.
0
0
1
0
2
.
0
6
.
5
5
1
.
1
1
1
4
.
1
9
2
1
.
3
4
0
.
0
0
0
.
2
7
1
.
0
0
8
.
7
7
0
.
0
6
5
3
.
9
4
0
.
0
0
1
0
1
.
2
3
.
6
0
1
.
4
9
1
3
.
6
1
2
1
.
1
7
0
.
0
0
0
.
3
1
0
.
9
5
8
.
9
2
0
.
0
2
5
3
.
7
3
0
.
0
0
1
0
0
.
8
0
.
4
9
1
.
1
7
1
4
.
3
9
2
1
.
6
5
0
.
0
0
0
.
2
1
0
.
6
9
8
.
0
7
0
.
0
3
5
3
.
2
9
0
.
0
5
1
0
0
.
0
4
.
6
5
1
.
2
2
1
4
.
1
2
1
9
.
5
7
0
.
0
3
0
.
2
3
1
.
5
4
9
.
6
5
0
.
0
0
5
2
.
5
7
0
.
0
0
9
9
.
5
8
.
5
9
0
.
9
2
1
4
.
3
0
2
0
.
8
9
0
.
0
3
0
.
2
1
1
.
1
5
8
.
1
6
0
.
7
1
5
3
.
4
6
0
.
0
0
1
0
0
.
4
2
.
6
5
1
.
2
3
1
3
.
8
7
2
1
.
1
7
0
.
0
0
0
.
3
0
0
.
9
2
8
.
2
1
0
.
0
0
5
3
.
2
2
0
.
0
0
9
9
.
5
7
.
6
2
1
.
3
0
1
3
.
9
9
2
0
.
7
6
0
.
0
2
0
.
3
0
0
.
9
5
8
.
1
0
0
.
0
0
5
2
.
2
7
0
.
0
0
9
8
.
3
1
.
6
2
1
.
3
6
1
4
.
0
8
2
1
.
1
2
0
.
0
1
0
.
2
9
0
.
7
8
7
.
9
8
0
.
0
0
5
2
.
9
9
0
.
0
0
9
9
.
2
3
.
5
5
1
.
4
2
1
4
.
0
5
2
1
.
1
6
0
.
0
3
0
.
2
5
0
.
9
5
7
.
9
3
0
.
0
0
5
2
.
9
3
0
.
0
0
9
9
.
2
7
.
5
8
1
.
4
2
1
3
.
5
6
2
1
.
1
4
0
.
0
1
0
.
2
7
0
.
9
2
8
.
2
9
0
.
4
4
5
2
.
0
2
0
.
0
0
9
8
.
6
5
.
5
4
1
.
1
1
1
3
.
9
1
2
1
.
1
9
0
.
0
2
0
.
2
3
1
.
0
4
8
.
0
8
0
.
0
0
5
1
.
9
9
0
.
0
0
9
8
.
1
1
.
5
7
1
.
3
3
1
3
.
9
7
2
1
.
3
8
0
.
0
0
0
.
2
7
1
.
0
0
8
.
4
3
0
.
0
2
5
2
.
6
7
0
.
1
0
9
9
.
7
4
.
5
6
1
.
0
5
1
3
.
6
1
2
1
.
4
1
0
.
0
0
0
.
2
5
1
.
1
6
8
.
3
7
0
.
0
6
5
2
.
9
8
0
.
1
0
9
9
.
5
5
.
5
3
2
.
0
9
1
3
.
3
9
2
2
.
0
7
0
.
0
0
0
.
4
5
0
.
7
7
8
.
4
4
0
.
0
3
5
1
.
2
3
0
.
1
0
9
9
.
1
0
H
\
D
R
2
3
-
2
4
l
E
0
.
5
5
1
.
8
3
1
4
.
2
9
2
0
.
9
9
0
.
0
0
0
.
3
6
0
.
5
9
7
.
9
3
0
.
7
3
5
1
.
2
6
0
.
0
0
9
8
.
5
3
2
E
0
.
4
7
1
.
8
1
1
4
.
2
4
2
0
.
9
1
0
.
0
0
0
.
4
2
0
.
5
6
8
.
0
4
0
.
0
0
5
2
.
5
6
0
.
0
0
9
9
.
0
1
3
E
0
.
5
1
1
.
5
3
1
4
.
4
9
2
1
.
8
8
0
.
0
2
0
.
3
6
0
.
8
3
8
.
0
3
0
.
0
0
5
2
.
2
9
0
.
0
6
1
0
0
.
0
0
4
E
0
.
5
9
1
.
8
5
1
3
.
8
3
2
1
.
5
4
0
.
0
0
0
.
4
6
0
.
6
0
8
.
4
0
0
.
0
3
5
1
.
9
6
0
.
0
0
9
9
.
2
6
4
C
0
.
7
5
2
.
2
2
1
3
.
6
8
2
1
.
0
7
0
.
0
2
0
.
5
6
0
.
7
0
8
.
6
1
0
.
0
0
5
0
.
7
1
0
.
0
0
9
8
.
3
2
5
E
0
.
5
9
1
.
9
4
1
4
.
3
9
2
1
.
6
6
0
.
0
0
0
.
4
0
0
.
6
7
8
.
0
9
0
.
0
6
5
2
.
4
3
0
.
0
4
1
0
0
.
2
7
5
C
0
.
6
3
1
.
6
4
1
4
.
0
8
2
1
.
3
7
0
.
0
1
0
.
4
2
0
.
6
7
8
.
0
5
0
.
0
0
5
1
.
9
0
0
.
1
2
9
8
.
8
9
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
9
0
 
C
L
I
N
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
P
o
a
.
N
a
2
0
1
1
2
0
3
M
g
O
C
a
O
x
2
0
T
1
0
2
M
n
O
T
o
o
N
1
0
5
1
0
2
B
a
0
T
o
t
a
l
R
2
3
-
2
6
1
E
0
.
5
1
1
.
2
2
1
4
.
1
1
2
1
.
0
3
0
.
0
0
0
.
2
4
0
.
9
3
8
.
3
8
0
.
0
0
5
1
.
5
5
0
.
0
0
9
7
.
9
7
2
E
0
.
5
0
1
.
1
4
1
3
.
7
1
2
1
.
0
7
0
.
0
0
0
.
2
6
1
.
0
9
8
.
8
7
0
.
0
0
5
2
.
2
7
0
.
0
0
9
8
.
9
1
2
c
0
.
6
3
1
.
5
4
1
3
.
8
5
2
1
.
0
6
0
.
0
0
0
.
2
9
0
.
8
9
8
.
2
0
0
.
0
3
5
2
.
3
9
0
.
0
0
9
8
.
8
8
3
E
0
.
6
2
1
.
8
8
1
3
.
6
4
2
0
.
8
7
0
.
0
0
0
.
3
6
0
.
8
4
8
.
2
7
0
.
0
0
5
0
.
5
6
0
.
0
0
9
7
.
0
4
3
c
0
.
6
1
2
.
0
1
1
3
.
6
2
2
1
.
3
4
0
.
0
0
0
.
4
9
0
.
8
7
8
.
6
3
0
.
0
0
5
0
.
6
7
0
.
8
2
9
9
.
0
6
4
2
0
.
6
6
1
.
3
6
1
4
.
3
0
2
1
.
2
5
0
.
0
2
0
.
3
1
0
.
8
3
8
.
3
4
0
.
0
0
5
2
.
1
0
0
.
0
0
9
9
.
1
7
4
c
0
.
5
9
1
.
5
7
1
3
.
9
7
2
0
.
9
6
0
.
0
0
0
.
2
9
0
.
6
4
7
.
8
7
0
.
0
0
5
0
.
3
1
0
.
0
0
9
6
.
2
0
5
E
0
.
4
8
1
.
2
3
1
3
.
8
3
2
0
.
9
0
0
.
0
0
0
.
2
6
0
.
7
1
8
.
5
1
0
.
0
0
5
2
.
0
8
0
.
0
0
9
8
.
0
0
6
E
0
.
6
1
1
.
6
3
1
3
.
9
0
2
1
.
0
3
0
.
0
0
0
.
3
0
0
.
6
8
8
.
5
6
0
.
0
0
5
2
.
0
5
0
.
0
0
9
8
.
7
6
7
a
0
.
6
9
1
.
3
4
1
3
.
9
2
2
1
.
0
7
0
.
0
0
0
.
2
6
1
.
0
4
8
.
6
2
0
.
0
0
5
2
.
1
3
0
.
0
0
9
9
.
0
7
7
c
0
.
6
8
1
.
2
6
1
3
.
6
5
2
1
.
2
7
0
.
0
1
0
.
2
7
1
.
2
4
8
.
4
8
0
.
0
0
5
1
.
5
5
0
.
0
0
9
8
.
4
1
8
E
0
.
5
4
1
.
5
3
1
3
.
1
1
2
1
.
5
9
0
.
0
0
0
.
2
8
0
.
9
6
8
.
5
0
0
.
0
0
5
0
.
3
2
0
.
0
0
9
6
.
8
3
9
E
0
.
5
5
1
.
0
9
1
3
.
9
2
2
1
.
5
8
0
.
0
0
0
.
2
6
1
.
0
5
8
.
3
1
0
.
0
0
5
3
.
5
6
0
.
0
0
1
0
0
.
3
2
1
0
E
0
.
7
6
1
.
4
7
1
3
.
7
0
2
0
.
6
4
0
.
0
1
0
.
3
2
1
.
2
3
9
.
1
5
0
.
0
0
5
2
.
4
4
0
.
0
8
9
9
.
8
0
1
1
E
0
.
4
2
0
.
6
9
1
7
.
4
7
1
2
.
8
5
0
.
0
0
0
.
2
6
1
.
5
3
1
2
.
5
2
0
.
0
0
5
2
.
5
1
0
.
0
0
9
8
.
2
5
1
2
E
0
.
5
7
1
.
2
4
1
3
.
5
6
2
1
.
3
1
0
.
0
0
0
.
2
7
1
.
0
1
8
.
6
8
0
.
0
0
5
1
.
9
9
0
.
0
0
9
8
.
6
3
1
3
E
0
.
6
0
1
.
6
1
1
4
.
1
1
2
1
.
5
3
0
.
0
0
0
.
3
8
0
.
9
1
8
.
5
1
0
.
0
2
5
2
.
0
7
0
.
0
0
9
9
.
7
4
1
4
E
0
.
6
1
1
.
0
1
1
4
.
7
1
2
0
.
5
7
0
.
0
0
0
.
2
6
1
.
0
3
8
.
4
6
0
.
0
2
5
2
.
5
5
0
.
0
3
9
9
.
2
5
1
5
E
0
.
6
7
1
.
2
0
1
3
.
6
4
2
1
.
3
9
0
.
0
2
0
.
2
9
1
.
0
3
8
.
4
9
0
.
0
0
5
1
.
6
9
0
.
0
0
9
8
.
4
2
3
2
1
-
1
1
E
0
.
6
5
1
.
5
7
1
3
.
7
5
1
8
.
2
0
0
.
0
0
0
.
2
5
1
.
0
0
8
.
4
2
0
.
0
0
5
1
.
0
6
0
.
0
0
9
4
.
9
0
1
c
0
.
5
8
1
.
4
5
1
3
.
4
5
1
7
.
9
1
0
.
0
0
0
.
2
7
1
.
1
3
8
.
1
0
0
.
0
0
4
9
.
6
2
0
.
0
3
9
2
.
5
4
2
E
0
.
4
9
1
.
1
6
1
3
.
1
7
1
8
.
4
2
0
.
0
0
0
.
2
0
0
.
9
7
8
.
1
6
0
.
0
0
4
9
.
8
0
0
.
0
3
9
2
.
4
0
2
c
0
.
5
9
1
.
0
4
1
3
.
6
0
1
7
.
9
4
0
.
0
0
0
.
1
7
1
.
1
8
8
.
2
5
0
.
0
0
4
9
.
0
3
0
.
0
0
9
1
.
8
0
3
E
0
.
5
7
1
.
3
5
1
3
.
7
2
1
8
.
3
3
0
.
0
1
0
.
2
2
0
.
7
9
7
.
9
6
0
.
0
0
5
0
.
7
4
0
.
0
4
9
3
.
7
3
4
E
0
.
6
0
1
.
1
5
1
3
.
9
6
1
7
.
5
7
0
.
0
0
0
.
1
9
0
.
9
6
8
.
2
3
0
.
0
0
5
2
.
0
8
0
.
0
0
9
4
.
7
4
4
c
0
.
4
8
1
.
3
0
1
4
.
8
4
1
5
.
0
2
0
.
0
0
0
.
1
2
1
.
5
0
1
0
.
9
4
0
.
0
0
5
0
.
9
3
0
.
0
0
9
5
.
1
3
5
E
0
.
6
1
1
.
4
3
1
4
.
2
5
1
7
.
7
8
0
.
0
2
0
.
2
4
0
.
8
8
7
.
9
7
0
.
0
0
5
1
.
4
2
0
.
0
0
9
4
.
6
0
5
c
0
.
6
1
1
.
7
1
1
3
.
6
8
1
8
.
1
6
0
.
0
0
0
.
3
0
0
.
8
0
8
.
0
4
0
.
1
8
5
0
.
7
7
0
.
0
0
9
4
.
2
5
6
E
0
.
5
7
1
.
0
4
1
3
.
7
4
1
8
.
0
0
0
.
0
2
0
.
2
0
0
.
9
7
8
.
0
8
0
.
0
0
5
2
.
1
7
0
.
0
2
9
4
.
8
1
7
E
0
.
4
1
0
.
5
9
1
4
.
4
0
1
7
.
7
3
0
.
0
0
0
.
2
1
0
.
4
8
8
.
9
1
0
.
0
0
5
1
.
4
6
0
.
0
7
9
4
.
2
6
8
E
0
.
4
6
1
.
2
0
1
3
.
2
2
1
7
.
5
9
0
.
0
0
0
.
1
8
1
.
0
9
8
.
6
9
0
.
0
0
4
9
.
8
0
0
.
0
0
9
2
.
2
3
8
c
0
.
5
7
1
.
4
0
1
3
.
7
8
1
8
.
1
2
0
.
0
0
0
.
2
9
0
.
9
9
8
.
4
2
0
.
0
0
4
7
.
8
0
0
.
0
0
9
1
.
3
7
3
2
1
-
5
1
E
0
.
5
3
0
.
8
5
1
4
.
2
3
1
6
.
9
4
0
.
0
3
0
.
1
2
1
.
2
7
8
.
7
6
0
.
0
0
4
9
.
7
6
0
.
0
0
9
2
.
4
9
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
9
1
 
C
L
I
N
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
 
S
a
m
p
L
a
G
r
a
i
n
9
P
e
a
.
N
a
2
0
A
1
2
0
3
M
g
O
C
a
O
K
2
0
T
1
0
2
M
n
O
F
o
o
N
1
0
8
1
0
2
S
a
c
T
o
t
a
l
A
5
-
3
5
1
E
0
.
6
6
0
.
8
0
1
3
.
5
3
2
1
.
8
2
0
.
0
0
0
.
2
1
1
.
4
9
8
.
5
8
0
.
0
0
4
9
.
9
2
0
.
0
3
9
7
.
0
4
1
C
0
.
5
9
0
.
7
1
1
3
.
3
6
2
1
.
5
8
0
.
0
0
0
.
1
5
2
.
1
6
8
.
3
5
0
.
0
0
4
9
.
4
7
0
.
0
0
9
6
.
3
7
2
E
0
.
4
4
0
.
9
1
1
4
.
6
3
2
2
.
0
2
0
.
0
0
0
.
2
0
0
.
6
8
7
.
5
7
0
.
0
0
5
1
.
3
3
0
.
0
0
9
7
.
7
8
2
C
0
.
4
1
1
.
0
2
1
4
.
2
6
2
0
.
9
9
0
.
0
0
0
.
3
1
1
.
0
7
8
.
5
6
0
.
0
0
5
0
.
9
7
2
.
1
3
9
9
.
7
2
3
E
0
.
5
9
0
.
9
5
1
3
.
8
8
2
1
.
4
7
0
.
0
0
0
.
1
4
1
.
5
8
8
.
2
9
0
.
0
0
5
1
.
1
5
0
.
0
3
9
8
.
0
8
3
C
0
.
6
7
1
.
0
7
1
3
.
4
1
2
1
.
8
3
0
.
0
2
0
.
3
2
0
.
9
9
8
.
0
2
0
.
0
0
4
9
.
9
3
0
.
0
6
9
6
.
3
2
4
E
0
.
6
4
0
.
7
8
1
2
.
7
9
2
0
.
7
3
0
.
0
2
0
.
2
0
1
.
7
0
8
.
7
1
0
.
0
4
5
1
.
0
2
0
.
0
9
9
6
.
7
2
5
E
0
.
4
6
0
.
7
3
1
3
.
5
3
2
1
.
2
0
0
.
0
2
0
.
1
7
1
.
5
5
8
.
2
6
0
.
0
6
5
0
.
3
9
0
.
0
4
9
6
.
4
1
6
E
0
.
4
2
0
.
9
2
1
4
.
8
8
2
1
.
1
9
0
.
0
1
0
.
2
7
0
.
9
0
8
.
0
0
0
.
0
7
4
7
.
8
9
0
.
0
3
9
4
.
5
8
7
E
0
.
5
3
0
.
8
7
1
4
.
3
3
2
0
.
3
1
0
.
0
0
0
.
2
0
1
.
4
7
8
.
2
5
0
.
0
3
5
1
.
3
5
0
.
0
0
9
7
.
3
4
8
C
0
.
6
7
1
.
5
3
1
3
.
6
6
2
1
.
3
0
0
.
0
2
0
.
4
0
1
.
0
9
7
.
7
8
0
.
0
5
4
9
.
6
7
0
.
0
4
9
6
.
2
1
A
S
-
S
B
1
E
0
.
6
1
0
.
6
7
1
2
.
8
8
2
1
.
1
6
0
.
0
0
0
.
1
5
1
.
5
1
8
.
0
3
0
.
0
0
5
0
.
7
2
0
.
0
9
9
5
.
8
2
1
C
0
.
6
4
0
.
7
8
1
3
.
4
3
2
1
.
4
4
0
.
0
1
0
.
1
8
1
.
4
7
8
.
2
3
0
.
0
0
5
1
.
5
3
0
.
0
8
9
7
.
7
8
2
B
0
.
6
3
0
.
9
8
1
3
.
7
3
2
0
.
8
1
0
.
0
0
0
.
3
0
1
.
5
8
8
.
0
5
0
.
0
4
5
1
.
7
6
0
.
0
2
9
7
.
8
9
2
C
0
.
6
3
1
.
1
0
1
4
.
4
9
2
0
.
6
3
0
.
0
0
0
.
2
7
1
.
4
3
7
.
9
8
0
.
0
0
5
1
.
2
1
0
.
0
0
9
7
.
7
4
3
E
0
.
7
6
1
.
1
5
1
3
.
5
1
2
1
.
7
3
0
.
0
0
0
.
2
7
1
.
3
4
8
.
1
8
0
.
0
0
5
2
.
0
3
0
.
0
5
9
9
.
0
2
4
E
0
.
6
6
0
.
9
5
1
3
.
1
5
2
1
.
4
1
0
.
0
2
0
.
2
8
1
.
4
9
7
.
8
4
0
.
0
0
5
0
.
9
5
0
.
0
3
9
6
.
7
7
5
E
0
.
6
6
0
.
7
6
1
3
.
5
9
2
0
.
8
9
0
.
0
0
0
.
1
7
1
.
6
7
8
.
1
2
0
.
0
2
5
1
.
0
4
0
.
0
2
9
6
.
9
4
6
E
0
.
6
6
0
.
7
6
1
3
.
1
9
2
0
.
1
9
0
.
0
3
0
.
2
0
1
.
9
9
8
.
5
0
0
.
0
1
5
1
.
2
9
0
.
0
2
9
6
.
8
4
7
E
0
.
6
2
0
.
9
6
1
2
.
8
8
2
1
.
1
4
0
.
0
0
0
.
2
5
1
.
5
9
8
.
2
3
0
.
0
0
4
9
.
8
8
0
.
0
0
9
5
.
5
5
8
E
0
.
6
7
1
.
1
5
1
2
.
2
8
2
0
.
4
3
0
.
0
2
0
.
1
9
1
.
8
4
8
.
7
8
0
.
0
0
5
0
.
9
3
0
.
4
3
9
6
.
7
2
9
E
0
.
4
7
0
.
8
4
1
4
.
4
7
2
0
.
5
4
0
.
0
2
0
.
2
4
1
.
0
1
8
.
2
5
0
.
0
0
5
1
.
0
9
0
.
0
0
9
6
.
9
3
1
0
E
0
.
7
0
0
.
8
5
1
3
.
5
4
2
1
.
5
2
0
.
0
4
0
.
1
9
1
.
3
2
7
.
9
6
0
.
0
0
5
1
.
6
9
0
.
0
0
9
7
.
8
1
1
0
C
0
.
6
8
0
.
7
9
1
3
.
6
2
2
1
.
7
1
0
.
0
2
0
.
2
3
1
.
3
4
8
.
3
6
0
.
0
0
5
1
.
1
9
0
.
0
0
9
7
.
9
4
1
1
E
0
.
6
3
0
.
8
5
1
3
.
9
7
2
1
.
6
1
0
.
0
1
0
.
2
1
1
.
4
4
8
.
0
1
0
.
0
0
5
1
.
6
1
0
.
0
5
9
8
.
3
9
1
2
E
0
.
4
3
0
.
7
1
1
5
.
0
3
1
9
.
7
2
0
.
0
0
0
.
1
5
0
.
9
1
7
.
5
8
0
.
0
0
4
9
.
5
1
0
.
0
0
9
4
.
0
4
A
5
-
6
3
1
E
0
.
5
7
2
.
1
0
1
5
.
2
7
2
0
.
4
8
0
.
0
1
0
.
5
7
0
.
5
4
7
.
4
2
0
.
0
0
5
1
.
5
7
0
.
0
9
9
8
.
6
2
1
C
0
.
5
5
2
.
1
6
1
5
.
1
3
2
0
.
4
2
0
.
0
0
0
.
6
3
0
.
5
0
7
.
7
0
0
.
0
0
5
1
.
3
0
0
.
0
6
9
8
.
4
5
2
E
0
.
6
5
2
.
8
8
1
3
.
7
2
2
0
.
7
1
0
.
0
0
0
.
7
6
0
.
7
0
7
.
7
7
0
.
0
0
4
9
.
1
9
0
.
0
5
9
6
.
4
3
3
E
0
.
5
8
2
.
0
2
1
4
.
5
7
2
0
.
6
9
0
.
0
0
0
.
5
3
0
.
7
4
7
.
8
1
0
.
0
0
4
7
.
3
4
0
.
1
5
9
4
.
4
3
4
E
0
.
5
5
1
.
8
8
1
4
.
8
8
2
0
.
4
0
0
.
0
1
0
.
4
5
0
.
6
4
7
.
7
8
0
.
0
0
4
8
.
6
0
1
.
3
6
9
6
.
5
5
5
E
0
.
6
2
1
.
9
4
1
5
.
0
7
2
0
.
6
8
0
.
0
0
0
.
4
7
0
.
6
6
7
.
4
8
0
.
0
0
4
8
.
9
4
0
.
0
8
9
5
.
9
4
5
C
0
.
5
1
2
.
7
1
1
4
.
5
6
2
0
.
0
4
0
.
0
0
0
.
6
7
0
.
5
1
7
.
8
8
0
.
0
0
4
8
.
9
9
0
.
0
0
9
5
.
8
7
6
E
0
.
5
6
2
.
1
0
1
4
.
6
1
2
0
.
4
1
0
.
0
2
0
.
5
6
0
.
6
7
7
.
8
7
0
.
0
0
5
0
.
4
4
0
.
8
3
9
8
.
0
7
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
9
2
 
C
L
I
N
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
9
P
o
o
.
N
a
2
0
A
1
2
0
3
M
9
0
C
a
O
£
2
0
T
1
0
2
M
n
O
F
e
O
N
1
0
8
1
0
2
S
a
c
T
o
t
a
l
A
5
-
6
9
1
E
0
.
6
1
2
.
5
8
1
4
.
9
8
2
0
.
5
7
0
.
0
0
0
.
6
1
0
.
5
7
7
.
7
6
0
.
0
0
5
0
.
6
1
0
.
2
0
9
8
.
4
9
2
E
0
.
5
3
2
.
1
1
1
5
.
2
6
2
0
.
0
0
0
.
0
0
0
.
5
6
0
.
5
6
7
.
6
1
0
.
0
0
4
9
.
9
5
0
.
0
8
9
6
.
6
6
3
E
0
.
5
7
1
.
9
1
1
4
.
9
5
2
0
.
3
3
0
.
0
0
0
.
4
3
0
.
6
1
7
.
4
2
0
.
0
0
5
0
.
8
1
0
.
1
6
9
7
.
1
9
4
E
0
.
5
5
1
.
5
5
1
4
.
4
1
2
0
.
7
8
0
.
0
0
0
.
4
8
0
.
6
7
7
.
6
0
0
.
0
0
4
9
.
6
6
0
.
0
8
9
5
.
7
8
5
E
0
.
5
8
1
.
1
8
1
4
.
2
8
2
1
.
2
3
0
.
0
0
0
.
3
9
1
.
1
4
7
.
6
5
0
.
0
0
5
0
.
0
5
0
.
1
1
9
6
.
6
1
6
E
0
.
4
9
2
.
2
0
1
4
.
3
9
2
0
.
1
8
0
.
0
2
0
.
5
9
0
.
4
8
7
.
4
3
0
.
0
0
4
7
.
8
3
0
.
1
7
9
3
.
7
8
7
E
0
.
6
6
2
.
3
1
1
4
.
8
4
2
0
.
2
5
0
.
0
2
0
.
5
9
0
.
7
2
7
.
7
9
0
.
0
0
4
8
.
7
7
0
.
0
8
9
6
.
0
3
A
5
-
7
l
1
E
0
.
6
8
1
.
7
8
1
4
.
0
8
1
8
.
9
4
0
.
0
0
0
.
4
6
0
.
8
1
7
.
4
1
0
.
0
5
5
0
.
7
4
0
.
0
0
9
4
.
9
5
1
C
0
.
6
1
1
.
7
2
1
4
.
2
2
1
9
.
2
7
0
.
0
0
0
.
4
2
0
.
7
2
7
.
4
5
0
.
0
3
5
1
.
0
2
0
.
0
0
9
5
.
4
6
2
E
0
.
7
7
1
.
3
9
1
3
.
6
7
1
9
.
1
7
0
.
0
0
0
.
3
7
1
.
2
0
8
.
0
1
0
.
7
6
5
1
.
2
9
0
.
0
6
9
6
.
6
9
3
E
0
.
6
8
1
.
4
5
1
3
.
7
4
1
8
.
7
9
0
.
0
0
0
.
4
2
1
.
2
3
8
.
0
2
0
.
0
0
5
1
.
3
3
0
.
0
0
9
5
.
6
6
3
C
0
.
5
3
0
.
8
6
1
4
.
0
1
1
9
.
4
9
0
.
0
0
0
.
2
7
0
.
7
8
7
.
7
9
0
.
0
3
5
0
.
3
7
0
.
0
0
9
4
.
1
3
4
E
0
.
6
1
1
.
9
6
1
4
.
2
7
1
9
.
1
6
0
.
0
0
0
.
4
6
0
.
7
6
7
.
4
7
0
.
0
3
5
0
.
3
2
0
.
0
0
9
5
.
0
4
4
C
0
.
6
0
2
.
5
7
1
4
.
0
5
1
8
.
7
5
0
.
0
0
0
.
6
1
0
.
7
5
7
.
7
5
0
.
0
3
4
9
.
9
3
0
.
0
2
9
5
.
0
6
5
E
0
.
7
3
1
.
2
4
1
3
.
5
2
1
8
.
8
5
0
.
0
0
0
.
3
3
1
.
2
4
8
.
2
0
0
.
0
2
5
0
.
6
6
0
.
0
0
9
4
.
7
9
5
C
0
.
6
9
1
.
1
7
1
3
.
6
4
1
8
.
9
3
0
.
0
0
0
.
2
9
1
.
2
9
7
.
8
5
0
.
0
4
5
1
.
4
3
0
.
0
2
9
5
.
3
5
6
E
0
.
6
6
1
.
3
7
1
3
.
5
5
1
8
.
5
5
0
.
0
0
0
.
3
3
1
.
2
1
7
.
7
9
0
.
0
2
5
1
.
0
7
0
.
0
5
9
4
.
6
0
7
E
0
.
7
0
1
.
4
1
1
3
.
1
3
1
9
.
3
2
0
.
0
0
0
.
3
7
1
.
4
7
8
.
8
1
0
.
0
2
5
0
.
4
0
0
.
0
8
9
5
.
7
1
8
E
0
.
6
3
1
.
1
1
1
3
.
3
8
1
9
.
0
3
0
.
0
0
0
.
3
2
1
.
6
3
8
.
6
5
0
.
0
3
5
1
.
0
3
0
.
0
7
9
5
.
8
8
9
E
0
.
6
6
1
.
1
9
1
3
.
3
3
1
9
.
7
7
0
.
0
0
0
.
2
8
1
.
1
1
7
.
8
8
0
.
0
5
5
1
.
3
6
0
.
0
0
9
5
.
6
3
1
0
E
0
.
6
3
0
.
9
2
1
3
.
5
8
1
8
.
5
9
0
.
0
0
0
.
2
6
1
.
5
4
8
.
0
9
0
.
0
6
5
2
.
0
4
0
.
0
0
9
5
.
7
1
1
1
E
0
.
7
5
1
.
0
1
1
3
.
0
5
1
9
.
1
9
0
.
0
0
0
.
2
4
1
.
2
6
8
.
3
6
0
.
0
3
5
0
.
5
6
0
.
0
0
9
4
.
4
5
A
5
-
7
2
1
E
0
.
6
2
1
.
6
6
1
4
.
5
2
1
9
.
6
7
0
.
0
0
0
.
4
1
0
.
7
4
7
.
6
8
0
.
0
0
5
0
.
4
8
0
.
0
0
9
5
.
7
8
1
C
0
.
5
7
1
.
0
2
1
4
.
4
2
1
9
.
6
1
0
.
0
0
0
.
2
5
1
.
1
8
7
.
8
0
0
.
0
0
5
1
.
5
5
0
.
0
0
9
6
.
4
0
2
E
0
.
5
8
1
.
6
0
1
4
.
3
2
2
0
.
0
1
0
.
0
1
0
.
3
8
0
.
9
0
7
.
7
8
0
.
0
0
4
9
.
9
4
0
.
0
0
9
5
.
5
2
2
C
0
.
6
6
1
.
7
2
1
4
.
7
0
1
9
.
6
8
0
.
0
0
0
.
4
5
0
.
7
6
7
.
7
6
0
.
0
0
4
9
.
7
5
0
.
0
4
9
5
.
5
2
3
E
0
.
5
7
1
.
6
2
1
4
.
2
5
2
0
.
0
2
0
.
0
3
0
.
4
3
0
.
7
8
7
.
7
2
0
.
0
0
4
9
.
2
0
0
.
0
0
9
4
.
6
2
3
C
0
.
5
9
1
.
5
2
1
4
.
4
1
2
0
.
0
9
0
.
0
2
0
.
3
6
0
.
8
4
7
.
6
3
0
.
0
0
4
9
.
7
4
0
.
0
4
9
5
.
2
4
4
E
0
.
5
9
1
.
6
8
1
4
.
3
0
1
8
.
6
8
0
.
0
0
0
.
3
8
0
.
8
0
7
.
8
6
0
.
0
0
4
8
.
9
3
0
.
0
0
9
3
.
2
2
4
C
0
.
5
6
1
.
6
0
1
4
.
6
0
1
9
.
0
0
0
.
0
0
0
.
4
7
0
.
7
9
7
.
7
8
0
.
0
0
5
0
.
0
4
0
.
0
0
9
4
.
8
4
5
E
0
.
5
7
2
.
3
2
1
4
.
9
3
1
8
.
0
4
0
.
0
0
0
.
5
0
0
.
8
9
7
.
6
2
0
.
0
0
5
1
.
7
2
0
.
0
3
9
6
.
6
2
5
C
0
.
5
6
2
.
2
8
1
4
.
9
6
1
9
.
2
3
0
.
0
0
0
.
5
1
0
.
6
1
7
.
8
0
0
.
0
0
5
1
.
6
7
0
.
0
5
9
7
.
6
7
6
E
0
.
5
9
1
.
5
0
1
3
.
8
6
1
8
.
5
6
0
.
0
5
0
.
4
3
0
.
8
6
7
.
5
7
0
.
0
0
4
9
.
9
1
0
.
1
2
9
3
.
4
5
6
C
0
.
5
9
1
.
8
5
1
4
.
2
4
1
8
.
7
7
0
.
0
0
0
.
4
4
0
.
8
2
7
.
9
4
0
.
0
0
5
1
.
1
5
0
.
0
2
9
5
.
8
2
7
E
0
.
5
3
1
.
9
5
1
4
.
1
9
1
8
.
4
0
0
.
0
1
0
.
4
2
0
.
7
6
7
.
6
6
0
.
0
2
5
1
.
4
1
0
.
0
0
9
5
.
3
5
7
C
0
.
5
5
1
.
9
3
1
4
.
9
9
1
8
.
6
3
0
.
0
0
0
.
3
8
0
.
6
7
7
.
7
7
0
.
0
0
5
1
.
8
7
0
.
0
5
9
6
.
8
4
8
E
0
.
6
0
1
.
7
0
1
3
.
9
5
1
9
.
2
3
0
.
0
2
0
.
4
3
0
.
9
0
7
.
8
1
0
.
0
0
5
1
.
1
5
0
.
0
0
9
5
.
7
9
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
1
2
9
3
 
C
L
I
N
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
P
o
a
.
N
a
2
0
2
1
2
0
3
M
9
0
C
a
O
x
2
0
T
1
0
2
u
n
o
F
e
O
N
1
0
$
1
0
2
a
a
o
T
o
t
a
l
3
5
-
7
5
1
E
0
.
6
8
1
.
8
6
1
5
.
0
0
1
8
.
6
1
0
.
0
0
0
.
4
5
0
.
6
4
7
.
5
8
0
.
1
8
5
1
.
1
0
0
.
0
2
9
6
.
1
2
1
c
0
.
5
6
1
.
9
3
1
4
.
6
9
1
8
.
7
3
0
.
0
0
0
.
4
8
0
.
6
5
7
.
9
1
0
.
0
0
5
0
.
7
0
0
.
0
6
9
5
.
7
1
2
E
0
.
6
4
2
.
2
7
1
5
.
0
9
2
1
.
0
9
0
.
0
1
0
.
5
5
0
.
6
8
8
.
0
1
0
.
0
0
5
1
.
0
9
0
.
0
0
9
9
.
4
3
3
a
0
.
5
9
1
.
8
7
1
5
.
2
5
2
0
.
9
5
0
.
0
2
0
.
4
6
0
.
6
2
7
.
7
6
0
.
0
0
5
1
.
6
5
0
.
0
0
9
9
.
1
7
4
E
0
.
7
5
2
.
3
5
1
4
.
1
1
1
8
.
8
3
0
.
1
3
0
.
5
1
0
.
5
4
7
.
8
8
0
.
0
0
4
6
.
9
0
0
.
1
1
9
2
.
1
1
4
c
0
.
5
9
1
.
7
3
1
4
.
8
5
1
9
.
0
2
0
.
0
0
0
.
4
0
0
.
7
6
7
.
5
6
0
.
0
0
5
0
.
6
5
0
.
0
0
9
5
.
5
6
5
E
0
.
6
2
2
.
0
4
1
5
.
1
4
1
9
.
3
4
0
.
0
0
0
.
4
5
0
.
6
6
7
.
5
6
0
.
0
0
4
9
.
4
0
0
.
0
4
9
5
.
2
5
5
c
0
.
6
6
2
.
1
1
1
4
.
9
8
1
9
.
0
0
0
.
0
0
0
.
5
3
0
.
6
6
7
.
9
7
0
.
0
0
4
8
.
1
9
0
.
0
5
9
4
.
1
5
6
2
0
.
5
9
1
.
7
7
1
4
.
2
5
1
8
.
6
5
0
.
0
0
0
.
3
6
0
.
5
9
8
.
2
4
0
.
0
0
5
1
.
1
9
0
.
0
2
9
5
.
6
6
7
E
0
.
5
3
2
.
6
3
1
4
.
6
1
1
8
.
2
7
0
.
0
0
0
.
5
1
0
.
9
7
7
.
7
0
0
.
0
0
4
9
.
7
0
0
.
0
4
9
4
.
9
6
7
c
0
.
5
2
2
.
8
5
1
4
.
7
9
1
8
.
9
5
0
.
0
0
0
.
5
8
0
.
4
7
7
.
6
7
0
.
0
0
5
0
.
4
8
0
.
0
0
9
6
.
3
1
8
E
0
.
6
0
2
.
0
4
1
4
.
9
5
1
8
.
7
6
0
.
0
0
0
.
4
4
0
.
6
7
7
.
6
8
0
.
0
0
5
1
.
1
7
0
.
0
3
9
6
.
3
4
8
c
0
.
6
3
2
.
0
3
1
4
.
6
7
1
8
.
6
3
0
.
0
0
0
.
4
1
0
.
6
9
7
.
5
0
0
.
0
0
5
0
.
4
0
0
.
1
0
9
5
.
0
6
9
E
0
.
5
6
2
.
2
6
1
5
.
1
8
1
7
.
9
1
0
.
0
1
0
.
4
8
0
.
5
1
7
.
9
8
0
.
0
0
5
0
.
8
6
0
.
0
4
9
5
.
7
9
9
c
0
.
5
5
2
.
2
3
1
4
.
9
3
1
7
.
4
5
0
.
0
0
0
.
4
5
0
.
5
7
7
.
9
7
0
.
0
0
5
0
.
9
8
0
.
0
0
9
5
.
1
3
1
0
E
0
.
6
5
1
.
7
7
1
4
.
8
6
1
8
.
4
3
0
.
0
0
0
.
3
8
0
.
6
9
7
.
6
8
0
.
0
0
5
0
.
8
3
0
.
0
5
9
5
.
3
4
1
0
c
0
.
6
3
1
.
4
6
1
4
.
8
8
1
7
.
7
3
0
.
0
0
0
.
3
5
0
.
8
3
7
.
7
1
0
.
0
0
5
1
.
4
8
0
.
0
6
9
5
.
1
3
1
1
E
0
.
5
6
2
.
8
7
1
3
.
9
1
1
7
.
8
0
0
.
0
0
0
.
6
6
0
.
5
4
8
.
0
5
0
.
0
0
4
9
.
3
9
0
.
0
0
9
3
.
7
8
1
1
c
0
.
6
4
1
.
9
7
1
4
.
9
0
1
8
.
2
9
0
.
0
0
0
.
4
2
0
.
6
5
7
.
4
1
0
.
0
0
5
0
.
1
0
0
.
0
5
9
4
.
4
3
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
9
4
 
C
L
I
N
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
’
P
O
I
.
N
0
2
0
M
9
0
‘
1
2
0
3
3
1
0
2
K
2
0
C
a
O
8
&
0
1
1
0
2
M
n
O
’
0
0
T
o
t
a
l
A
4
-
7
0
E
0
.
4
6
1
5
.
4
8
0
.
9
5
5
1
.
8
9
0
.
0
0
2
0
.
5
6
0
.
0
2
0
.
2
9
1
.
0
9
8
.
4
3
9
9
.
1
6
E
0
.
6
4
1
4
.
7
3
0
.
7
8
5
3
.
0
9
0
.
0
2
2
1
.
3
2
0
.
1
3
0
.
2
3
1
.
4
2
8
.
4
2
1
0
0
.
7
7
E
0
.
7
1
1
4
.
0
3
1
.
4
8
5
2
.
4
7
0
.
0
2
2
1
.
1
9
0
.
0
6
0
.
4
4
1
.
2
8
9
.
2
9
1
0
0
.
9
5
A
5
-
9
E
0
.
6
8
1
3
.
9
5
1
.
0
1
5
1
.
3
8
0
.
0
0
2
1
.
4
1
0
.
0
5
0
.
3
3
1
.
3
0
8
.
0
3
9
8
.
1
2
E
0
.
7
1
1
4
.
4
3
0
.
9
4
5
1
.
7
2
0
.
0
1
2
1
.
0
4
0
.
0
4
0
.
2
9
1
.
6
5
8
.
0
9
9
8
.
9
3
E
0
.
6
7
1
6
.
2
2
1
.
6
8
5
3
.
4
8
0
.
0
0
2
0
.
8
3
0
.
0
7
0
.
5
1
0
.
7
7
7
.
3
8
1
0
1
.
6
1
A
5
-
3
0
l
E
0
.
7
2
1
5
.
1
4
1
.
4
3
5
1
.
7
0
0
.
0
1
2
0
.
5
1
0
.
0
7
0
.
3
4
1
.
0
2
7
.
2
2
9
8
.
1
6
2
E
0
.
6
4
1
4
.
4
4
1
.
5
1
5
0
.
1
3
0
.
0
1
2
0
.
9
2
0
.
0
3
0
.
6
0
0
.
9
1
7
.
3
6
9
6
.
5
6
3
E
0
.
6
4
1
4
.
9
8
1
.
0
8
5
1
.
8
3
0
.
0
2
2
1
.
0
7
0
.
0
2
0
.
2
8
1
.
1
4
7
.
6
4
9
8
.
7
0
4
E
0
.
7
0
1
4
.
7
8
1
.
2
7
5
1
.
3
8
0
.
0
0
2
0
.
9
4
0
.
0
4
0
.
3
2
0
.
9
6
7
.
5
3
9
7
.
9
1
A
5
-
3
1
l
E
0
.
5
8
1
6
.
0
6
2
.
2
3
5
0
.
8
7
0
.
0
0
2
0
.
3
0
0
.
0
3
0
.
5
5
0
.
5
8
6
.
9
1
9
8
.
1
2
2
E
0
.
5
9
1
4
.
9
3
3
.
0
9
4
8
.
9
1
0
.
0
2
2
0
.
2
0
0
.
0
2
0
.
7
7
0
.
5
6
7
.
7
5
9
6
.
8
3
3
E
0
.
5
9
1
5
.
0
5
1
.
6
0
5
0
.
9
8
0
.
0
0
2
0
.
7
0
0
.
0
0
0
.
5
1
0
.
7
2
7
.
4
6
9
7
.
6
0
A
5
-
6
8
1
E
0
.
6
6
1
4
.
3
0
0
.
7
3
5
2
.
0
9
0
.
0
0
2
0
.
1
2
0
.
0
2
0
.
1
9
1
.
7
4
7
.
8
7
9
7
.
7
3
2
E
0
.
4
5
1
5
.
8
2
0
.
8
8
5
2
.
8
0
0
.
0
0
2
0
.
3
9
0
.
0
7
0
.
2
0
0
.
9
7
7
.
4
8
9
9
.
0
5
3
E
0
.
6
0
1
4
.
3
8
0
.
6
3
5
2
.
2
7
0
.
0
0
2
0
.
3
3
0
.
0
0
0
.
2
0
1
.
8
1
7
.
9
8
9
8
.
2
1
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
9
5
 
O
R
T
B
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
9
P
a
s
.
N
a
2
0
1
1
2
0
3
M
9
0
C
a
O
X
2
0
T
1
0
2
M
n
O
F
e
O
N
1
0
8
1
0
2
B
a
0
T
o
t
a
l
R
2
3
-
1
3
1
E
0
.
0
0
0
.
3
6
2
2
.
4
3
0
.
9
8
0
.
0
1
0
.
1
3
2
.
6
4
2
0
.
3
9
0
.
0
0
5
2
.
3
7
0
.
0
0
9
9
.
3
1
1
E
0
.
0
6
0
.
3
6
2
2
.
4
6
0
.
9
0
0
.
0
0
0
.
1
2
2
.
7
2
2
0
.
0
0
0
.
0
0
5
1
.
6
4
0
.
0
0
9
8
.
2
6
1
E
0
.
0
0
0
.
3
8
2
2
.
1
3
0
.
9
5
0
.
0
1
0
.
1
3
2
.
4
7
2
0
.
5
5
0
.
0
0
5
2
.
7
6
0
.
0
0
9
9
.
3
8
2
E
0
.
0
9
0
.
3
5
2
2
.
2
6
1
.
0
6
0
.
0
2
0
.
1
0
2
.
6
6
1
9
.
5
8
0
.
0
0
5
2
.
9
3
0
.
0
5
9
9
.
1
0
2
E
0
.
0
8
0
.
4
0
2
2
.
9
7
0
.
9
6
0
.
0
3
0
.
1
2
2
.
5
7
1
9
.
6
1
0
.
0
0
5
4
.
1
5
0
.
0
0
1
0
0
.
8
9
3
E
0
.
0
0
0
.
3
3
2
2
.
2
8
0
.
9
9
0
.
0
2
0
.
1
2
2
.
5
7
1
9
.
9
2
0
.
0
0
5
3
.
6
5
0
.
0
0
9
9
.
8
8
3
E
0
.
0
3
0
.
3
8
2
1
.
8
5
0
.
8
9
0
.
0
2
0
.
1
2
2
.
4
5
1
9
.
6
4
0
.
0
0
5
3
.
8
5
0
.
1
1
9
9
.
3
4
3
E
0
.
0
0
0
.
3
9
2
1
.
8
6
0
.
9
4
0
.
0
1
0
.
0
9
2
.
4
8
1
9
.
9
1
0
.
0
0
5
3
.
3
7
0
.
0
2
9
9
.
0
7
R
8
-
4
5
1
E
0
.
0
3
0
.
3
9
2
1
.
9
7
0
.
9
5
0
.
0
0
0
.
1
1
2
.
5
5
1
9
.
9
4
0
.
0
4
5
3
.
1
1
0
.
0
0
9
9
.
0
9
1
E
0
.
0
0
0
.
4
9
2
2
.
6
4
0
.
9
8
0
.
0
0
0
.
1
2
2
.
5
2
2
0
.
3
5
0
.
0
0
5
3
.
2
9
0
.
0
0
1
0
0
.
3
9
1
E
0
.
0
3
0
.
3
3
2
2
.
2
8
0
.
9
3
0
.
0
0
0
.
1
1
2
.
5
0
1
9
.
9
7
0
.
0
4
5
4
.
0
6
0
.
0
0
1
0
0
.
2
5
R
2
3
-
2
6
l
E
0
.
0
9
0
.
3
1
2
2
.
6
8
0
.
9
9
0
.
0
0
0
.
1
4
2
.
5
2
1
9
.
6
3
0
.
0
0
5
3
.
9
7
0
.
0
0
1
0
0
.
3
3
1
E
0
.
0
8
0
.
3
3
2
2
.
7
9
0
.
9
5
0
.
0
3
0
.
1
4
2
.
4
4
1
9
.
8
9
0
.
0
0
5
4
.
1
1
0
.
0
4
1
0
0
.
8
0
1
E
0
.
0
7
0
.
3
6
2
2
.
6
4
0
.
9
0
0
.
0
0
0
.
1
4
2
.
5
3
1
9
.
7
7
0
.
0
0
5
4
.
1
4
0
.
0
5
1
0
0
.
6
0
2
E
0
.
0
5
0
.
3
0
2
2
.
4
8
0
.
8
7
0
.
0
2
0
.
1
2
2
.
8
2
1
9
.
7
2
0
.
0
3
5
4
.
7
3
0
.
0
4
1
0
1
.
1
8
2
E
0
.
0
6
0
.
4
6
2
2
.
7
8
0
.
8
7
0
.
0
2
0
.
1
6
2
.
6
8
2
0
.
0
2
0
.
0
4
5
4
.
3
4
0
.
0
0
1
0
1
.
4
3
3
E
0
.
0
6
0
.
3
8
2
4
.
1
2
1
.
0
3
0
.
0
0
0
.
1
5
2
.
4
3
1
9
.
2
1
0
.
0
2
5
3
.
2
1
0
.
0
0
1
0
0
.
6
1
4
E
0
.
0
6
0
.
3
8
2
2
.
3
4
0
.
9
0
0
.
0
3
0
.
1
1
2
.
8
3
2
0
.
6
2
0
.
0
5
5
2
.
1
0
0
.
0
0
9
9
.
4
2
4
E
0
.
0
7
0
.
2
7
2
2
.
5
6
0
.
8
5
0
.
0
1
0
.
1
3
2
.
8
7
2
0
.
1
6
0
.
0
2
5
1
.
5
5
0
.
0
0
9
8
.
4
9
R
8
-
4
4
1
E
0
.
0
3
0
.
3
0
2
2
.
3
2
0
.
9
6
0
.
0
0
0
.
1
1
2
.
9
1
2
0
.
4
3
0
.
0
0
5
3
.
0
5
0
.
0
0
1
0
0
.
1
1
E
0
.
0
2
0
.
3
1
2
3
.
4
5
0
.
9
8
0
.
0
0
0
.
1
1
2
.
6
3
1
9
.
0
4
0
.
0
0
5
4
.
9
0
0
.
0
0
1
0
1
.
4
4
R
2
l
-
l
1
E
0
.
0
3
0
.
4
1
2
3
.
8
3
0
.
7
4
0
.
0
0
0
.
0
7
2
.
4
1
1
8
.
1
3
0
.
0
0
5
2
.
9
4
0
.
1
0
9
8
.
6
6
1
E
0
.
0
0
0
.
3
0
2
2
.
3
5
0
.
8
4
0
.
0
0
0
.
0
8
2
.
5
2
1
9
.
4
1
0
.
0
0
5
1
.
9
2
0
.
0
0
9
7
.
4
2
2
E
0
.
0
0
0
.
3
2
2
1
.
2
0
0
.
8
1
0
.
0
0
0
.
0
9
2
.
5
1
1
9
.
8
9
0
.
0
0
5
0
.
8
9
0
.
0
0
9
5
.
7
1
2
E
0
.
0
0
0
.
3
5
2
1
.
6
9
0
.
8
0
0
.
0
0
0
.
0
7
2
.
5
7
1
9
.
9
4
0
.
0
0
5
2
.
0
7
0
.
0
9
9
7
.
5
8
3
E
0
.
0
0
0
.
2
8
2
1
.
9
4
0
.
8
2
0
.
0
0
0
.
0
6
2
.
4
3
1
9
.
8
9
0
.
0
0
5
1
.
7
7
0
.
0
9
9
7
.
2
8
R
2
1
-
5
1
E
0
.
0
3
0
.
3
6
2
2
.
5
2
0
.
7
5
0
.
0
2
0
.
0
8
2
.
3
9
1
9
.
5
9
0
.
0
0
5
2
.
6
1
0
.
0
0
9
8
.
3
5
1
C
0
.
0
0
0
.
3
3
2
1
.
9
5
0
.
7
2
0
.
0
2
0
.
0
9
2
.
3
8
2
0
.
1
8
0
.
0
0
5
1
.
3
8
0
.
0
0
9
7
.
0
5
2
E
0
.
0
0
0
.
3
1
2
1
.
1
5
0
.
7
3
0
.
0
1
0
.
0
7
2
.
6
0
1
9
.
5
2
0
.
0
0
5
0
.
5
5
0
.
0
0
9
4
.
9
4
2
C
0
.
0
0
0
.
3
8
2
1
.
5
4
0
.
7
3
0
.
0
2
0
.
0
9
2
.
4
2
2
0
.
1
5
0
.
0
0
5
1
.
7
7
0
.
0
0
9
7
.
1
0
3
E
0
.
0
0
0
.
3
6
2
2
.
1
3
0
.
6
7
0
.
0
1
0
.
0
8
2
.
6
0
1
9
.
7
9
0
.
0
0
5
2
.
0
3
0
.
0
0
9
7
.
6
7
4
E
0
.
0
0
0
.
3
1
2
1
.
4
5
0
.
7
1
0
.
0
2
0
.
0
5
2
.
8
3
2
0
.
3
5
0
.
0
0
5
2
.
0
0
0
.
0
0
9
7
.
7
2
4
C
0
.
0
0
0
.
3
0
2
1
.
4
4
0
.
7
6
0
.
0
1
0
.
0
4
2
.
5
4
2
0
.
1
0
0
.
0
0
5
1
.
7
7
0
.
0
0
9
6
.
9
6
2
9
6
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
O
R
T
H
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
E
P
O
I
.
“
8
2
0
”
2
0
3
m
C
a
O
K
2
0
1
1
0
2
9
1
:
1
0
F
O
O
N
1
0
8
1
0
2
B
I
O
T
o
t
a
l
 
A
5
-
5
8
1
E
0
.
0
0
0
.
3
7
2
0
.
7
6
0
.
9
4
0
.
0
1
0
.
1
3
2
.
2
6
1
8
.
5
9
0
.
0
5
4
6
.
0
4
0
.
0
2
8
9
.
1
7
1
C
0
.
0
5
0
.
7
4
2
3
.
3
2
1
.
1
6
0
.
0
2
0
.
1
9
2
.
2
6
1
8
.
4
9
0
.
2
0
5
1
.
4
2
0
.
0
0
9
7
.
8
5
 
O
R
T
H
O
P
Y
R
O
X
E
N
E
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
I
P
e
a
.
N
a
2
0
)
(
9
0
1
1
2
0
3
8
1
0
2
K
2
0
C
a
O
B
a
0
T
1
0
2
m
0
3
'
0
0
T
o
t
a
l
 
A
5
-
3
0
1
E
0
.
0
3
2
5
.
7
5
0
.
4
9
5
3
.
2
5
0
.
0
0
1
.
0
8
0
.
0
4
0
.
1
3
2
.
0
7
1
6
.
4
8
9
9
.
3
1
2
C
0
.
0
3
2
5
.
8
2
0
.
5
9
5
3
.
2
6
0
.
0
2
1
.
0
5
0
.
0
0
0
.
1
9
2
.
4
6
1
6
.
1
9
9
9
.
6
0
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
9
7
 
A
M
P
H
I
B
O
L
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
#
P
o
o
.
N
a
2
0
A
1
2
0
3
M
9
0
C
a
O
x
2
0
T
1
0
2
M
n
O
F
o
o
N
1
0
8
1
0
2
S
a
c
T
o
t
a
l
R
8
-
4
4
1
E
2
.
5
3
1
2
.
2
5
1
3
.
3
2
1
1
.
1
7
0
.
7
8
3
.
8
1
0
.
3
8
1
2
.
1
0
0
.
0
0
4
2
.
2
2
0
.
0
7
9
8
.
6
3
1
1
8
-
4
5
1
E
:
2
.
4
1
1
2
.
3
6
1
3
.
0
5
1
0
.
9
5
0
.
8
1
3
.
5
0
0
.
3
3
1
2
.
4
5
0
.
0
2
4
1
.
0
8
0
.
0
0
9
6
.
9
6
1
E
2
.
5
5
1
2
.
1
2
1
3
.
5
9
1
1
.
1
4
0
.
7
9
3
.
6
0
0
.
2
8
1
2
.
3
4
0
.
0
2
4
2
.
1
1
0
.
1
4
9
8
.
6
8
R
l
l
-
S
1
E
2
.
3
4
1
1
.
7
9
1
2
.
2
6
1
0
.
9
9
0
.
9
7
3
.
4
7
0
.
3
8
1
3
.
1
6
0
.
0
0
4
1
.
2
1
0
.
0
8
9
6
.
6
5
2
E
2
.
5
8
1
1
.
1
0
1
3
.
1
2
1
0
.
7
5
0
.
9
8
3
.
4
6
0
.
4
1
1
2
.
1
7
0
.
0
0
4
2
.
1
2
0
.
1
5
9
6
.
8
4
3
E
2
.
3
7
1
0
.
5
1
1
2
.
9
5
1
0
.
8
9
0
.
9
7
3
.
1
0
0
.
5
4
1
2
.
3
4
0
.
0
6
4
2
.
2
6
0
.
0
9
9
6
.
0
8
4
E
2
.
3
4
1
0
.
5
9
1
2
.
9
9
1
0
.
9
0
0
.
9
5
2
.
6
5
1
.
0
8
1
2
.
4
6
0
.
0
0
4
3
.
1
6
0
.
0
0
9
7
.
1
2
5
E
2
.
4
9
1
1
.
6
6
1
2
.
2
1
1
1
.
8
2
0
.
9
9
3
.
6
7
0
.
4
2
1
2
.
5
7
0
.
0
0
4
0
.
5
7
0
.
0
0
9
6
.
4
0
6
E
2
.
4
3
1
1
.
1
7
1
3
.
0
6
1
0
.
8
4
1
.
0
6
3
.
2
0
0
.
4
4
1
3
.
1
7
0
.
0
0
4
2
.
4
8
0
.
0
2
9
7
.
8
7
7
E
2
.
2
0
1
0
.
6
4
1
3
.
1
1
1
0
.
9
5
0
.
9
9
2
.
7
9
0
.
4
1
1
2
.
4
6
0
.
0
0
4
2
.
9
2
0
.
0
0
9
6
.
4
7
R
1
1
-
7
1
E
2
.
2
5
1
0
.
2
2
1
2
.
7
1
1
0
.
8
1
1
.
1
3
2
.
9
5
0
.
3
3
1
2
.
9
8
0
.
0
0
4
2
.
1
9
0
.
0
0
9
5
.
5
7
2
E
2
.
3
3
1
2
.
5
5
1
2
.
4
8
1
0
.
4
0
0
.
7
9
3
.
4
6
0
.
3
8
1
2
.
4
7
0
.
0
0
4
0
.
0
3
0
.
0
0
9
4
.
8
9
3
E
2
.
7
2
1
1
.
9
5
1
2
.
6
1
1
1
.
0
7
0
.
7
6
3
.
7
9
0
.
2
8
1
2
.
3
4
0
.
0
0
4
0
.
8
8
0
.
0
0
9
6
.
4
0
4
E
2
.
4
1
1
2
.
0
2
1
2
.
9
2
1
0
.
8
4
0
.
7
9
3
.
5
6
0
.
3
2
1
2
.
1
2
0
.
0
0
4
0
.
3
7
0
.
0
8
9
5
.
4
3
5
E
2
.
4
9
1
1
.
7
7
1
2
.
7
0
1
0
.
6
3
0
.
8
2
3
.
2
2
0
.
3
6
1
2
.
5
1
0
.
0
0
4
0
.
7
9
0
.
0
0
9
5
.
2
9
6
E
2
.
5
8
1
1
.
9
1
1
2
.
5
0
1
1
.
0
7
0
.
8
9
3
.
5
9
0
.
4
4
1
3
.
5
5
0
.
0
0
4
0
.
8
2
0
.
0
0
9
7
.
3
5
7
E
2
.
6
2
1
1
.
9
2
1
2
.
9
0
1
1
.
1
9
0
.
8
0
3
.
6
3
0
.
3
7
1
2
.
6
0
0
.
0
0
4
1
.
6
8
0
.
0
0
9
7
.
7
1
R
2
1
-
1
3
1
E
2
.
5
9
1
2
.
1
9
1
2
.
8
5
8
.
8
6
0
.
6
4
3
.
2
8
0
.
3
7
1
2
.
1
3
0
.
0
0
4
0
.
3
3
0
.
0
0
9
3
.
2
4
1
C
2
.
4
9
1
1
.
9
2
1
2
.
5
8
9
.
2
0
0
.
6
0
3
.
2
9
0
.
3
6
1
2
.
3
9
0
.
0
0
4
0
.
0
8
0
.
0
3
9
2
.
9
4
2
E
2
.
6
0
1
1
.
9
1
1
2
.
7
7
8
.
9
3
0
.
7
0
2
.
9
2
0
.
3
5
1
2
.
1
2
0
.
0
0
4
0
.
5
6
0
.
0
0
9
2
.
8
6
3
E
2
.
4
3
1
1
.
7
4
1
2
.
5
3
8
.
8
4
0
.
5
8
3
.
1
0
0
.
3
5
1
2
.
1
6
0
.
0
0
4
0
.
3
0
0
.
0
0
9
2
.
0
3
4
C
2
.
5
7
1
2
.
4
5
1
3
.
3
2
9
.
1
7
0
.
6
7
3
.
3
0
0
.
2
2
1
1
.
2
1
0
.
0
0
4
0
.
2
0
0
.
0
0
9
3
.
1
1
5
E
2
.
2
8
1
0
.
7
6
1
3
.
1
3
9
.
0
5
0
.
7
4
2
.
6
2
0
.
3
2
1
1
.
9
2
0
.
0
0
4
0
.
9
5
0
.
0
0
9
1
.
7
7
5
C
2
.
4
8
1
2
.
1
9
1
3
.
1
3
9
.
2
7
0
.
6
1
3
.
0
9
0
.
2
8
1
1
.
8
3
0
.
0
0
4
0
.
9
0
0
.
0
0
9
3
.
7
8
6
E
2
.
6
5
1
2
.
3
4
1
2
.
9
9
9
.
5
7
0
.
6
1
3
.
4
9
0
.
3
1
1
2
.
2
1
0
.
0
0
4
0
.
6
0
0
.
0
0
9
4
.
7
7
7
E
2
.
5
5
1
2
.
1
6
1
2
.
8
8
9
.
6
2
0
.
6
3
3
.
3
5
0
.
2
9
1
1
.
4
1
0
.
0
0
4
0
.
2
6
0
.
0
0
9
3
.
1
5
8
E
2
.
5
9
1
2
.
4
7
1
3
.
1
9
9
.
3
4
0
.
6
2
3
.
3
4
0
.
2
8
1
1
.
4
4
0
.
0
0
4
0
.
6
6
0
.
0
9
9
4
.
0
2
9
E
2
.
6
2
1
1
.
9
1
1
2
.
6
8
9
.
3
0
0
.
6
8
3
.
0
1
0
.
4
0
1
2
.
8
1
0
.
0
0
4
0
.
5
1
0
.
0
0
9
3
.
9
2
1
0
E
2
.
6
1
1
1
.
5
3
1
2
.
5
2
9
.
0
4
0
.
7
0
2
.
9
2
0
.
3
9
1
2
.
5
2
0
.
0
0
4
0
.
1
3
0
.
0
0
9
2
.
3
6
1
1
E
2
.
4
6
1
2
.
3
5
1
2
.
7
3
8
.
9
9
0
.
6
1
3
.
5
5
0
.
3
2
1
1
.
6
4
0
.
0
0
3
9
.
4
9
2
.
7
1
9
4
.
8
5
1
2
E
2
.
4
8
1
2
.
0
3
1
1
.
9
3
8
.
9
9
0
.
5
8
3
.
2
9
0
.
3
3
1
2
.
6
2
0
.
0
0
3
8
.
8
3
0
.
0
0
9
1
.
0
8
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
2
9
8
 
A
M
P
H
I
B
O
L
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
 
 
 
 
 
S
a
m
p
l
e
G
r
a
i
n
0
F
o
o
.
N
a
2
0
1
1
2
0
3
M
9
0
C
a
0
x
z
o
T
1
0
2
u
n
o
T
a
o
N
1
0
3
1
0
2
a
a
o
T
o
t
a
l
n
2
3
-
1
3
1
E
2
.
6
1
1
2
.
7
9
1
3
.
0
9
1
1
.
1
8
0
.
7
6
3
.
3
1
0
.
5
3
1
3
.
1
6
0
.
0
5
4
0
.
5
7
0
.
0
0
9
8
.
0
5
2
E
2
.
4
7
1
1
.
6
9
1
3
.
0
8
1
1
.
1
3
0
.
9
8
3
.
2
5
0
.
4
6
1
3
.
0
2
0
.
0
2
4
2
.
4
7
0
.
0
0
9
8
.
5
7
3
E
2
.
4
4
1
2
.
0
1
1
3
.
3
8
1
1
.
2
1
0
.
9
1
3
.
3
4
0
.
3
2
1
2
.
9
8
0
.
0
0
4
2
.
6
6
0
.
0
0
9
9
.
2
5
3
c
2
.
5
6
1
2
.
3
5
1
3
.
4
5
1
1
.
2
1
0
.
9
2
3
.
6
1
0
.
3
3
1
2
.
1
8
0
.
0
2
4
2
.
3
5
0
.
0
8
9
9
.
0
6
4
E
2
.
5
1
1
2
.
1
2
1
3
.
0
4
1
1
.
0
1
0
.
9
1
3
.
3
3
0
.
3
4
1
3
.
0
0
0
.
0
2
4
1
.
8
6
0
.
0
0
9
8
.
1
4
5
E
2
.
5
9
1
2
.
1
1
1
3
.
1
2
1
1
.
1
8
0
.
8
4
3
.
8
3
0
.
3
1
1
2
.
5
7
0
.
0
3
4
2
.
6
4
0
.
0
6
9
9
.
2
8
6
E
2
.
5
5
1
2
.
4
7
1
2
.
6
2
1
1
.
1
1
0
.
8
4
3
.
4
2
0
.
4
2
1
3
.
4
5
0
.
0
4
4
2
.
2
8
0
.
0
2
9
9
.
2
2
3
2
3
-
2
4
1
a
2
.
4
6
1
1
.
4
2
1
3
.
4
1
1
0
.
7
5
0
.
7
8
3
.
3
7
0
.
3
2
1
1
.
5
4
0
.
0
0
4
1
.
1
4
0
.
0
0
9
5
.
1
9
2
E
2
.
4
8
1
2
.
1
1
1
2
.
5
3
1
0
.
8
9
0
.
6
8
3
.
6
1
0
.
6
1
1
2
.
5
1
0
.
0
0
4
0
.
9
9
0
.
0
0
9
6
.
4
1
3
E
2
.
5
6
1
1
.
7
4
1
2
.
8
7
1
0
.
5
8
0
.
8
2
3
.
3
1
0
.
3
6
1
2
.
0
8
0
.
0
0
4
1
.
2
1
0
.
0
1
9
5
.
5
4
4
E
2
.
4
2
1
1
.
5
2
1
3
.
1
1
1
0
.
9
6
0
.
8
7
3
.
0
0
0
.
4
1
1
2
.
1
6
0
.
0
0
4
1
.
4
6
0
.
0
0
9
5
.
9
1
5
E
2
.
3
3
1
0
.
8
4
1
3
.
3
5
1
1
.
0
8
1
.
0
5
3
.
2
7
0
.
3
7
1
2
.
2
6
0
.
0
0
4
2
.
6
3
0
.
0
0
9
7
.
1
8
6
a
2
.
5
0
1
2
.
0
0
1
2
.
6
9
1
1
.
0
2
0
.
7
7
3
.
5
9
0
.
3
7
1
2
.
8
4
0
.
0
0
4
1
.
0
1
0
.
0
0
9
6
.
7
9
7
E
2
.
3
5
1
0
.
9
2
1
3
.
5
3
1
0
.
8
2
0
.
9
1
2
.
8
2
0
.
4
2
1
2
.
1
4
0
.
0
0
4
1
.
9
9
0
.
0
0
9
5
.
9
0
8
E
2
.
4
9
1
2
.
1
1
1
3
.
0
6
1
0
.
6
3
0
.
8
0
3
.
5
7
0
.
3
2
1
1
.
6
4
0
.
0
0
4
0
.
3
6
0
.
2
7
9
5
.
2
5
9
a
2
.
3
8
1
1
.
5
5
1
3
.
9
7
1
0
.
5
3
0
.
7
4
3
.
2
6
0
.
2
9
1
1
.
1
5
0
.
0
0
4
1
.
5
7
0
.
0
0
9
5
.
4
4
3
2
3
-
2
7
1
E
2
.
6
3
1
2
.
0
6
1
2
.
9
8
1
1
.
1
3
0
.
8
1
3
.
6
1
0
.
3
4
1
2
.
7
9
0
.
0
0
4
0
.
2
7
0
.
0
0
9
6
.
6
2
2
E
2
.
6
8
1
2
.
8
3
1
3
.
0
1
1
1
.
1
0
0
.
8
5
4
.
0
2
0
.
3
1
1
2
.
5
3
0
.
0
0
4
0
.
4
0
0
.
0
3
9
7
.
7
6
3
E
2
.
7
6
1
2
.
0
9
1
3
.
4
1
1
0
.
9
7
0
.
8
2
4
.
1
0
0
.
2
8
1
2
.
0
1
0
.
0
0
4
0
.
9
9
0
.
0
9
9
7
.
5
2
4
E
2
.
4
8
1
2
.
2
8
1
3
.
5
9
1
1
.
0
5
0
.
8
4
3
.
7
4
0
.
3
2
1
1
.
7
7
0
.
0
0
4
1
.
1
7
0
.
0
0
9
7
.
2
4
5
E
2
.
6
6
1
2
.
4
3
1
3
.
5
5
1
1
.
1
7
0
.
6
9
4
.
1
9
0
.
2
1
1
1
.
8
9
0
.
0
0
4
0
.
5
1
0
.
0
4
9
7
.
3
4
6
E
2
.
6
6
1
2
.
3
5
1
2
.
5
8
1
1
.
1
8
0
.
8
3
3
.
6
6
0
.
3
7
1
2
.
9
7
0
.
0
0
4
0
.
3
0
0
.
1
1
9
7
.
0
1
7
e
2
.
5
1
1
2
.
0
9
1
3
.
2
0
1
0
.
7
4
0
.
8
4
3
.
5
7
0
.
3
2
1
2
.
5
0
0
.
0
0
4
1
.
3
2
0
.
0
0
9
7
.
0
9
7
c
2
.
4
4
1
2
.
2
3
1
3
.
6
1
1
0
.
9
1
0
.
8
2
3
.
7
2
0
.
2
3
1
1
.
5
9
0
.
0
0
4
2
.
2
6
0
.
0
1
9
7
.
8
2
A
M
P
H
I
B
O
L
E
A
N
A
L
Y
S
E
S
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
m
p
l
e
G
r
a
i
n
9
P
a
s
.
N
a
2
0
3
1
2
0
3
M
9
0
C
a
O
x
2
0
T
1
0
2
M
h
O
F
e
O
n
1
0
5
1
0
2
s
a
c
T
o
t
a
l
1
5
-
7
5
1
E
2
.
4
3
1
1
.
8
4
1
3
.
6
5
1
1
.
0
3
1
.
1
7
4
.
0
0
0
.
2
5
1
1
.
4
8
0
.
0
0
4
0
.
3
5
0
.
0
0
9
6
.
2
0
2
E
2
.
5
7
1
1
.
4
7
1
4
.
0
8
1
1
.
3
8
1
.
1
8
3
.
9
0
0
.
3
5
1
1
.
4
1
0
.
0
0
4
1
.
3
6
0
.
0
4
9
7
.
7
4
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
1
2
9
9
 
O
L
I
V
I
N
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
P
o
a
.
N
a
2
0
1
1
2
0
3
M
9
0
C
a
O
x
2
0
T
1
0
2
M
n
O
T
o
o
N
1
0
8
1
0
2
s
a
o
T
o
t
a
l
a
s
-
a
1
E
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
3
0
.
0
1
0
.
0
0
2
1
.
8
8
4
6
.
7
5
0
.
0
0
3
0
.
7
8
0
.
0
0
9
9
.
4
5
1
e
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
3
0
.
0
1
0
.
0
0
2
3
.
2
3
4
6
.
0
3
0
.
0
0
3
0
.
5
8
0
.
0
0
9
9
.
8
8
2
E
0
.
1
3
0
.
0
4
0
.
0
0
0
.
0
4
0
.
0
2
0
.
0
0
2
.
1
0
8
3
.
6
2
0
.
0
3
5
.
8
8
0
.
0
2
9
1
.
8
8
2
c
0
.
1
6
0
.
0
0
0
.
0
0
0
.
0
4
0
.
0
1
0
.
0
0
2
.
2
1
8
3
.
7
6
0
.
0
6
5
.
9
7
0
.
0
2
9
2
.
2
3
3
E
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
0
0
.
0
0
1
9
.
7
6
4
8
.
8
8
0
.
0
2
3
0
.
7
7
0
.
0
4
9
9
.
4
9
4
E
0
.
1
0
0
.
1
8
0
.
0
9
0
.
1
0
0
.
0
0
0
.
0
5
1
.
3
8
8
4
.
1
5
0
.
0
0
4
.
6
4
0
.
0
0
9
0
.
6
9
5
E
0
.
0
3
0
.
0
4
0
.
0
0
0
.
1
0
0
.
0
1
0
.
1
0
2
3
.
4
8
4
5
.
2
0
0
.
0
1
3
0
.
4
7
0
.
0
3
9
9
.
4
7
6
E
0
.
0
3
0
.
0
0
0
.
0
0
0
.
0
3
0
.
0
0
0
.
0
1
2
3
.
5
3
4
5
.
6
2
0
.
0
2
3
0
.
5
8
0
.
0
2
9
9
.
8
4
7
E
0
.
0
0
0
.
0
3
0
.
0
2
0
.
1
2
0
.
0
1
0
.
0
7
2
1
.
6
1
4
6
.
3
3
0
.
0
2
3
0
.
2
4
0
.
0
6
9
8
.
5
1
8
E
0
.
1
1
0
.
2
7
0
.
0
4
0
.
1
9
0
.
0
4
0
.
0
7
1
.
3
5
8
6
.
4
3
0
.
0
6
3
.
6
8
0
.
0
0
9
2
.
2
4
9
E
0
.
0
0
0
.
0
1
0
.
0
0
0
.
0
6
0
.
0
0
0
.
0
0
2
3
.
2
5
4
4
.
7
2
0
.
0
2
3
0
.
2
0
0
.
0
0
9
8
.
2
6
1
0
E
0
.
0
4
0
.
0
2
0
.
0
0
0
.
0
3
0
.
0
0
0
.
0
0
2
1
.
6
1
4
8
.
1
2
0
.
0
0
3
0
.
6
9
0
.
0
0
1
0
0
.
5
1
1
1
a
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
8
0
.
0
2
0
.
0
0
2
0
.
6
3
4
7
.
7
1
0
.
0
3
2
9
.
5
7
0
.
0
3
9
8
.
0
7
1
1
N
E
0
.
0
0
0
.
0
0
0
.
0
2
0
.
0
6
0
.
0
0
0
.
0
0
2
0
.
4
0
4
9
.
0
2
0
.
4
3
3
0
.
8
3
0
.
0
2
1
0
0
.
7
8
1
1
N
C
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
3
0
.
0
2
0
.
0
2
2
0
.
2
9
4
9
.
9
2
0
.
0
0
3
0
.
6
7
0
.
0
6
1
0
1
.
0
1
1
1
c
0
.
0
0
0
.
0
0
0
.
0
0
0
.
0
5
0
.
0
1
0
.
0
3
1
9
.
4
8
5
0
.
0
3
0
.
0
6
3
1
.
2
5
0
.
0
0
1
0
0
.
9
1
1
1
N
C
0
.
0
0
0
.
0
2
0
.
0
8
0
.
0
8
0
.
0
2
0
.
0
6
1
8
.
8
9
4
9
.
2
8
0
.
0
4
3
0
4
1
0
.
0
0
9
8
.
8
8
A
2
1
-
1
8
1
a
0
.
0
3
0
.
1
7
0
.
0
7
0
.
0
9
0
.
0
0
0
.
0
5
2
0
.
7
2
4
3
.
7
7
0
.
0
0
3
2
.
6
8
0
.
0
3
9
7
.
6
1
1
E
0
.
0
0
0
.
2
0
0
.
0
6
0
.
1
2
0
.
0
3
0
.
0
1
2
1
.
5
7
4
5
.
3
5
0
.
0
2
3
1
.
3
9
0
.
0
8
9
8
.
8
3
2
E
0
.
1
2
0
.
0
7
0
.
0
6
0
.
0
3
0
.
0
0
0
.
0
3
2
2
.
6
0
4
3
.
3
8
0
.
0
0
3
1
.
4
8
0
.
0
0
9
7
.
7
7
3
E
0
.
0
0
0
.
1
4
0
.
0
0
0
.
1
2
0
.
0
0
0
.
0
2
2
0
.
2
5
4
2
.
2
2
0
.
0
0
3
2
.
0
3
0
.
1
0
9
4
.
8
8
3
E
0
.
0
0
0
.
0
9
0
.
0
0
0
.
0
7
0
.
0
0
0
.
0
2
2
0
.
3
2
3
9
.
4
4
0
.
0
0
3
3
.
2
5
0
.
0
8
9
3
.
2
7
3
E
0
.
1
1
0
.
4
3
0
.
1
4
0
.
6
1
0
.
0
4
0
.
0
8
1
6
.
5
3
4
0
.
1
3
0
.
0
0
3
2
.
3
9
0
.
1
8
9
0
.
6
4
4
E
0
.
0
0
0
.
0
5
0
.
0
0
0
.
1
3
0
.
0
0
0
.
0
0
2
2
.
9
4
4
5
.
6
7
0
.
0
1
2
8
.
6
2
0
.
1
7
9
7
.
5
9
4
E
0
.
0
0
0
.
0
4
0
.
0
0
0
.
1
1
0
.
0
0
0
.
0
5
2
4
.
4
6
4
2
.
4
7
0
.
0
0
3
0
.
2
5
0
.
0
4
9
7
.
4
2
 
O
L
I
V
I
N
E
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
.
M
i
c
h
i
g
a
n
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
P
e
a
.
l
a
2
0
N
9
0
3
1
2
0
3
8
1
0
2
:
2
0
C
a
O
s
a
o
T
1
0
2
u
h
o
T
o
o
T
o
t
a
l
3
5
-
3
7
1
E
0
.
0
0
0
.
0
0
0
.
1
3
2
9
.
7
3
0
.
0
6
0
.
2
8
0
.
0
9
0
.
1
1
2
0
.
3
2
4
3
.
8
8
9
4
.
6
0
2
E
0
.
0
0
0
.
0
0
0
.
0
0
2
9
.
9
8
0
.
0
2
0
.
1
1
0
.
1
0
0
.
1
1
2
1
.
2
0
4
5
.
3
5
9
6
.
8
7
A
5
-
6
8
1
E
0
.
0
2
2
4
.
1
5
0
.
2
1
5
1
.
9
2
0
.
0
0
1
.
0
2
0
.
0
5
0
.
1
3
2
.
5
5
1
6
.
6
5
9
6
.
7
1
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
0
0
 
M
A
G
N
E
T
I
‘
I
'
E
A
N
D
I
L
M
E
N
I
'
I
'
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
A
1
2
0
3
M
9
0
T
o
o
T
1
0
2
u
h
o
T
o
t
a
l
R
8
-
2
5
l
p
l
0
.
0
2
2
.
2
1
0
.
6
3
8
0
.
5
8
5
.
3
0
0
.
4
0
8
9
.
1
4
l
p
l
0
.
0
4
2
.
3
4
0
.
8
9
8
1
.
1
7
4
.
4
6
0
.
2
9
8
9
.
1
9
2
p
1
0
.
0
0
1
.
2
1
3
.
9
7
4
0
.
4
8
4
0
.
6
8
2
.
2
3
8
8
.
5
7
3
0
.
0
3
1
.
9
7
1
.
2
1
8
4
.
1
9
5
.
6
9
1
.
1
5
9
4
.
2
4
3
0
.
0
4
2
.
0
2
1
.
0
1
8
0
.
5
2
6
.
4
4
1
.
1
2
9
1
.
1
5
3
0
.
0
5
1
.
8
7
1
.
1
3
8
1
.
1
9
7
.
6
2
1
.
5
1
9
3
.
3
7
4
0
.
0
3
2
.
2
9
0
.
8
9
8
1
.
8
4
6
.
5
3
1
.
3
8
9
2
.
9
6
4
0
.
0
3
2
.
1
9
0
.
9
1
8
2
.
0
4
6
.
2
4
0
.
6
3
9
2
.
0
4
5
0
.
0
4
1
.
9
5
1
.
0
4
8
2
.
9
9
5
.
3
1
1
.
1
1
9
2
.
4
4
5
0
.
0
4
1
.
9
4
1
.
2
0
8
3
.
7
9
5
.
9
6
1
.
3
3
9
4
.
2
6
5
0
.
0
3
1
.
6
6
1
.
7
4
7
8
.
9
2
1
2
.
1
4
1
.
6
2
9
6
.
1
1
6
0
.
0
0
0
.
1
7
1
.
8
4
5
4
.
4
4
3
7
.
3
4
1
.
2
4
9
5
.
0
3
6
0
.
0
0
0
.
3
9
1
.
9
1
5
4
.
5
2
3
9
.
0
0
1
.
4
2
9
7
.
2
4
6
0
.
0
0
0
.
1
6
1
.
9
0
5
5
.
1
2
3
7
.
8
3
1
.
2
5
9
6
.
2
6
7
p
2
0
.
0
4
2
.
0
7
1
.
1
2
8
3
.
1
6
5
.
5
6
1
.
3
4
9
3
.
2
9
7
p
2
0
.
0
3
1
.
8
6
1
.
0
8
8
0
.
8
2
5
.
7
5
1
.
2
7
9
0
.
8
1
7
p
2
0
.
0
5
2
.
0
2
1
.
1
5
8
2
.
4
1
5
.
6
3
1
.
1
9
9
2
.
4
5
8
p
2
0
.
0
0
0
.
0
7
3
.
6
3
4
4
.
4
4
4
5
.
1
8
3
.
3
0
9
6
.
6
2
9
0
.
0
0
0
.
2
1
1
.
7
2
5
5
.
3
2
3
8
.
9
2
1
.
2
7
9
7
.
4
4
9
0
.
0
0
0
.
1
7
1
.
6
2
5
4
.
7
8
3
8
.
8
3
1
.
4
0
9
6
.
8
0
9
0
.
0
0
0
.
1
7
1
.
6
8
5
4
.
7
8
3
7
.
0
6
1
.
2
8
9
4
.
9
7
1
0
0
.
0
0
0
.
1
9
2
.
0
2
5
5
.
2
3
3
8
.
6
2
1
.
4
0
9
7
.
4
6
1
0
0
.
0
0
0
.
1
6
1
.
9
8
5
3
.
8
4
3
8
.
6
0
1
.
5
0
9
6
.
0
8
1
1
0
.
0
3
2
.
0
1
1
.
2
5
8
0
.
9
0
8
.
1
7
1
.
2
1
9
3
.
5
7
R
8
-
4
4
1
0
.
0
4
1
.
8
1
1
.
9
3
7
9
.
4
8
8
.
3
2
1
.
0
7
9
2
.
6
5
1
0
.
0
4
1
.
9
5
1
.
8
4
7
9
.
0
0
8
.
5
8
1
.
1
2
9
2
.
5
3
2
0
.
0
0
2
.
3
5
1
.
5
2
7
4
.
4
7
7
.
9
5
1
.
1
7
8
7
.
4
6
2
0
.
0
6
1
.
9
0
1
.
6
5
8
2
.
9
5
8
.
0
7
1
.
2
5
9
5
.
8
8
3
0
.
0
3
1
.
6
4
1
.
3
1
8
0
.
2
3
7
.
8
0
1
.
0
1
9
2
.
0
2
4
0
.
0
4
1
.
8
5
1
.
5
3
8
0
.
7
8
9
.
2
2
1
.
2
3
9
4
.
6
5
4
0
.
0
6
1
.
8
9
1
.
6
2
8
3
.
2
8
8
.
3
3
1
.
2
3
9
6
.
4
1
4
0
.
0
2
2
.
3
1
2
.
0
4
7
7
.
8
2
8
.
0
0
1
.
1
7
9
1
.
3
6
4
0
.
0
3
1
.
8
2
1
.
4
8
8
1
.
9
7
7
.
9
9
1
.
2
5
9
4
.
5
4
5
0
.
0
0
0
.
2
5
2
.
2
2
5
4
.
4
3
3
7
.
8
6
1
.
2
4
9
6
.
0
0
5
0
.
0
0
0
.
2
8
2
.
2
4
5
4
.
8
7
3
7
.
6
0
1
.
1
2
9
6
.
1
1
6
0
.
0
0
0
.
1
4
1
.
8
6
5
5
.
5
1
3
7
.
9
0
1
.
5
8
9
6
.
9
9
6
0
.
0
0
0
.
1
8
1
.
7
5
5
4
.
8
6
3
9
.
0
2
1
.
4
8
9
7
.
2
9
7
0
.
0
0
0
.
1
8
1
.
9
3
5
3
.
6
9
3
9
.
2
6
1
.
4
2
9
6
.
4
8
7
0
.
0
0
0
.
1
7
1
.
9
4
5
4
.
0
0
3
8
.
5
1
1
.
5
9
9
6
.
2
1
8
0
.
0
0
0
.
2
0
2
.
1
8
5
4
.
5
8
3
7
.
7
8
1
.
2
2
9
5
.
9
6
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
0
1
 
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
3
1
2
0
3
M
9
0
F
e
O
T
1
0
2
M
n
O
T
o
t
a
l
R
8
-
4
4
,
C
o
n
t
i
n
u
e
d
8
0
.
0
2
0
.
2
2
2
.
0
8
5
4
.
6
6
3
8
.
3
6
1
.
2
5
9
6
.
5
9
9
0
.
0
0
0
.
2
1
2
.
1
3
5
5
.
4
7
3
8
9
5
1
.
0
8
9
7
.
8
4
9
0
.
0
0
0
.
2
7
2
.
0
4
5
5
.
3
3
3
7
.
3
6
1
.
1
1
9
6
.
1
1
9
0
.
0
0
0
.
2
4
2
.
0
9
5
4
.
6
9
3
7
.
9
3
1
.
9
6
9
6
.
9
1
1
0
0
.
0
0
0
.
1
6
1
.
8
5
5
4
.
3
9
3
7
.
1
9
1
.
3
1
9
4
9
0
1
0
0
.
0
0
0
.
1
9
2
.
0
0
5
6
.
2
0
3
7
5
1
1
.
2
9
9
7
.
1
9
1
1
0
.
0
4
1
.
6
8
1
.
4
4
8
1
.
0
6
7
.
7
5
1
.
2
7
9
3
.
2
4
1
1
0
.
0
5
1
.
6
2
1
.
3
8
8
1
.
5
6
7
.
4
4
1
.
3
1
9
3
.
3
6
1
2
0
.
0
0
0
.
1
6
2
.
0
3
5
4
.
2
5
3
7
.
7
8
1
.
4
5
9
5
6
7
1
3
0
.
0
0
0
.
2
5
1
.
9
8
5
6
.
7
1
4
2
.
0
1
1
.
2
5
1
0
2
.
2
0
1
4
0
.
0
5
1
.
7
4
1
.
5
0
8
4
.
0
1
7
.
8
0
1
.
2
2
9
6
.
3
2
1
5
0
.
0
0
0
.
2
8
2
.
2
2
5
6
.
5
9
3
7
.
2
7
1
.
1
2
9
7
.
4
8
1
5
0
.
0
0
0
.
2
9
2
.
1
3
5
6
.
3
1
3
8
.
4
2
1
.
1
5
9
8
.
3
0
1
6
0
.
0
0
0
.
3
1
2
.
1
5
5
5
.
8
9
3
7
.
9
0
1
.
1
7
9
7
.
4
2
1
7
0
.
0
0
0
.
3
5
0
.
1
1
8
6
.
3
3
0
.
0
0
0
.
1
2
8
6
.
9
1
1
8
0
.
0
4
2
.
1
2
1
.
6
5
8
1
.
7
5
7
.
9
3
1
.
1
6
9
4
.
6
5
1
8
0
.
0
6
1
.
9
8
1
.
6
5
8
2
.
9
1
7
.
7
6
1
.
3
0
9
5
.
6
6
1
9
0
.
0
1
1
.
9
4
1
.
5
4
8
3
.
7
0
7
.
9
4
1
.
5
7
9
6
.
7
0
2
0
0
.
0
3
2
.
0
2
1
.
5
0
8
4
.
4
6
7
.
4
0
1
.
3
3
9
6
.
7
4
2
0
0
.
0
6
1
.
8
5
1
.
5
0
8
1
.
7
6
7
.
7
2
1
.
3
1
9
4
.
2
0
R
8
-
4
5
1
0
.
0
0
1
.
8
7
1
.
6
2
8
2
.
8
9
8
.
6
6
1
.
2
6
9
6
.
3
0
1
0
.
0
3
1
.
8
7
1
.
7
2
8
2
.
7
8
8
.
4
2
1
.
1
6
9
5
9
8
2
0
.
0
0
1
.
8
7
1
.
6
0
8
2
.
9
2
8
.
0
9
1
.
2
0
9
5
.
6
8
2
0
.
0
0
1
.
8
0
1
.
6
4
8
2
.
2
2
7
.
6
6
1
.
2
0
9
4
.
5
2
3
0
.
0
2
1
.
8
2
1
.
7
4
8
2
.
1
0
7
.
7
8
1
.
1
3
9
4
.
5
9
3
0
.
0
0
1
.
8
3
1
.
5
9
8
2
.
1
5
7
.
5
6
1
.
3
2
9
4
.
4
5
4
0
.
0
0
1
.
8
4
1
.
6
1
8
2
.
9
6
8
.
9
0
1
.
1
4
9
6
.
4
5
4
0
.
0
3
1
.
8
6
1
.
5
7
8
2
.
9
7
7
.
6
5
1
.
2
8
9
5
.
3
6
5
0
.
0
3
1
.
8
8
1
.
6
9
8
3
.
8
0
8
.
1
5
1
.
3
9
9
6
.
9
4
5
0
.
0
3
1
.
9
1
1
.
5
7
8
2
.
4
8
8
.
4
0
1
.
1
7
9
5
.
5
6
6
0
.
0
0
0
.
2
3
2
.
1
4
5
5
.
4
9
3
7
.
5
0
1
.
1
6
9
6
.
5
2
6
0
.
0
0
0
.
2
4
2
.
1
7
5
5
.
2
5
3
7
5
7
1
.
0
9
9
6
.
3
2
7
0
.
0
0
0
.
2
6
2
.
2
4
5
5
.
0
1
3
7
.
8
6
1
.
2
0
9
6
.
5
7
7
0
.
0
0
0
.
2
3
2
.
0
7
5
6
.
2
7
3
9
.
3
2
1
.
2
7
9
9
.
1
6
8
0
.
0
0
0
.
2
2
2
.
1
0
5
4
.
6
4
3
7
.
6
9
1
.
4
9
9
6
.
1
4
8
0
.
0
0
0
.
2
2
2
.
2
7
5
4
.
2
8
3
8
.
1
5
1
.
2
2
9
6
.
1
4
9
0
.
0
1
1
.
7
9
1
.
6
6
8
1
.
1
9
7
.
9
9
1
.
3
4
9
3
.
9
8
9
0
.
0
0
1
.
9
0
1
.
6
5
8
2
.
3
3
7
.
8
1
1
.
1
8
9
4
.
8
7
1
0
0
.
0
0
0
.
2
3
2
.
2
3
5
5
.
4
5
3
8
.
0
2
1
.
0
8
9
7
0
1
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
0
2
 
M
A
G
N
E
T
I
T
E
.
A
N
D
I
L
N
E
N
I
T
E
.
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
o
r
z
o
a
A
1
2
0
3
M
9
0
T
o
o
T
1
0
2
M
n
O
T
o
t
a
l
R
8
-
4
5
,
C
o
n
t
i
n
u
e
d
1
0
0
.
0
0
0
.
2
2
2
.
2
3
5
5
.
2
9
3
7
.
8
7
1
.
1
3
9
6
.
7
4
1
1
0
.
0
0
0
.
2
4
2
.
2
0
5
4
.
6
0
3
8
.
3
9
1
.
1
0
9
6
5
3
1
1
0
.
0
0
0
.
2
6
2
.
2
6
5
4
.
2
3
3
7
.
7
0
1
.
1
5
9
5
.
6
0
1
2
0
.
0
0
0
.
2
4
2
.
1
9
5
5
.
3
0
3
8
.
5
8
1
.
0
5
9
7
.
3
6
1
2
0
.
0
0
0
.
2
1
2
.
2
7
5
4
.
7
5
3
7
.
4
2
1
.
1
4
9
5
.
7
9
1
3
0
.
0
3
1
.
9
0
1
.
6
2
8
2
.
0
6
8
.
1
1
1
.
2
5
9
4
.
9
7
1
3
0
.
0
6
1
.
9
7
1
.
6
9
8
3
.
0
2
7
.
8
7
1
.
2
2
9
5
.
8
3
1
3
0
.
0
3
2
.
0
1
1
.
6
1
8
4
.
2
1
8
.
0
0
1
.
1
5
9
7
.
0
1
1
4
0
.
0
4
1
.
9
9
1
.
6
6
8
2
.
3
5
8
.
3
0
1
.
2
4
9
5
.
5
8
1
4
0
.
0
4
1
.
9
4
1
.
6
5
8
4
.
1
3
8
.
1
4
1
.
1
3
9
7
.
0
3
1
5
0
.
0
2
1
.
9
9
1
.
6
9
8
4
.
3
7
7
.
6
9
1
.
1
8
9
6
.
9
4
1
5
0
.
0
1
2
.
0
1
1
.
6
6
8
4
.
5
6
8
.
2
7
1
.
1
6
9
7
.
6
7
1
6
p
1
0
.
0
3
1
.
9
8
1
.
5
3
8
1
.
7
9
8
.
1
1
1
.
2
2
9
4
.
6
6
1
6
p
1
0
.
0
3
2
.
0
5
1
.
5
0
8
3
.
3
7
8
.
1
2
1
.
2
1
9
6
.
2
8
1
7
p
1
0
.
0
0
0
.
3
0
2
.
3
1
5
6
.
0
5
3
7
.
7
4
1
.
0
6
9
7
.
4
6
1
7
p
1
0
.
0
0
0
.
2
9
2
.
2
4
5
5
.
2
1
3
9
.
2
5
1
.
1
9
9
8
.
1
8
R
1
1
-
5
1
0
.
0
0
0
.
3
2
1
.
9
3
5
5
.
5
6
4
0
.
5
7
1
.
1
0
9
9
.
4
8
1
0
.
0
0
0
.
2
3
1
.
5
7
5
5
.
8
8
3
7
.
2
7
1
.
3
4
9
6
.
2
9
2
0
.
0
4
2
.
2
5
1
.
3
8
8
0
.
2
8
8
.
3
0
1
.
3
3
9
3
.
5
8
2
0
.
0
1
2
.
1
8
1
.
3
7
8
1
.
1
9
8
.
3
3
1
.
4
4
9
4
.
5
2
2
0
.
0
2
2
.
1
1
1
.
3
2
8
1
.
4
6
8
.
1
7
1
.
4
0
9
4
.
4
8
3
0
.
0
0
0
.
3
1
2
.
0
7
5
5
.
2
4
3
6
.
4
5
0
.
9
8
9
5
.
0
5
3
0
.
0
0
0
.
3
6
1
.
9
8
5
5
.
7
5
3
7
.
0
1
1
.
0
2
9
6
.
1
2
4
0
.
0
3
2
.
2
3
1
.
5
3
8
1
.
3
1
7
.
7
4
1
.
1
8
9
4
.
0
2
4
0
.
0
4
2
.
2
3
1
.
5
6
8
2
.
2
2
8
.
0
2
1
.
1
4
9
5
.
2
1
5
0
.
0
3
2
.
3
4
1
.
2
9
8
0
.
2
3
8
.
2
2
1
.
3
9
9
3
.
5
0
5
0
.
0
3
2
.
3
6
1
.
3
4
8
1
.
3
6
8
.
3
6
1
.
4
0
9
4
.
8
5
6
0
.
0
0
2
.
3
0
1
.
6
0
7
9
.
7
7
8
.
3
3
1
.
2
5
9
3
.
2
5
6
0
.
0
3
2
.
3
3
1
.
6
1
7
9
.
8
3
8
.
4
6
1
.
3
1
9
3
.
5
7
7
0
.
0
2
0
.
2
5
1
.
9
3
5
5
.
4
4
3
6
.
7
5
1
.
3
4
9
5
.
7
3
7
0
.
0
2
0
.
2
7
2
.
0
2
5
5
.
2
4
3
7
.
1
7
1
.
2
7
9
5
.
9
9
8
0
.
0
0
0
.
2
7
1
.
9
3
5
4
.
7
9
3
6
.
8
0
1
.
3
1
9
5
.
1
0
9
0
.
0
0
0
.
2
0
0
.
0
9
8
4
.
0
2
0
.
4
6
0
.
0
7
8
4
.
8
4
1
0
0
.
0
0
2
.
4
2
1
.
6
5
7
8
.
9
9
8
.
3
3
1
.
2
3
9
2
.
6
2
1
0
0
.
0
3
2
.
3
1
1
.
6
6
8
0
.
2
8
7
.
9
4
1
.
9
5
9
4
.
1
7
1
1
0
.
0
2
0
.
3
0
2
.
0
2
5
4
.
3
7
3
6
.
7
2
1
.
3
3
9
4
.
7
6
1
1
0
.
0
0
0
.
3
3
2
.
1
4
5
4
.
7
4
3
7
.
6
0
1
.
2
3
9
6
.
0
4
'
1
2
0
.
0
0
0
.
3
5
2
.
2
7
5
5
.
2
0
3
6
.
7
3
1
.
1
3
9
5
.
6
8
1
2
0
.
0
0
0
.
3
5
2
.
1
0
5
4
.
9
8
3
6
.
5
5
1
.
1
9
9
5
.
1
7
1
3
0
.
0
0
0
.
3
1
2
.
0
9
5
5
.
1
9
3
7
.
4
4
1
.
0
9
9
6
.
1
2
1
3
0
.
0
0
0
.
2
9
2
.
1
2
5
5
.
6
0
3
7
.
3
2
1
.
0
3
9
6
.
3
6
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
0
3
 
.
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
3
1
2
0
3
u
g
o
F
e
O
T
1
0
2
M
n
O
T
o
t
a
l
R
l
l
-
7
1
0
.
0
0
1
.
1
6
0
.
6
1
8
2
.
9
3
5
.
5
4
1
.
9
4
9
2
.
1
8
1
0
.
0
2
1
.
1
2
0
.
6
4
8
2
.
0
6
4
.
8
8
2
.
0
0
9
0
.
7
2
2
0
.
0
2
1
.
1
2
0
.
5
1
8
3
.
0
1
4
.
9
0
1
.
7
9
9
1
.
3
5
3
0
.
0
0
0
.
0
5
1
.
2
3
4
7
.
6
3
4
2
.
2
1
4
.
0
1
9
5
.
1
3
3
0
.
0
0
0
.
0
2
1
.
2
2
4
6
.
5
7
4
2
.
6
3
4
.
0
4
9
4
.
4
8
4
0
.
0
2
1
.
1
3
0
.
6
2
8
1
.
8
2
5
.
2
7
1
.
6
4
9
0
.
5
0
5
0
.
0
0
1
.
1
5
1
.
0
4
8
1
.
5
8
4
.
8
2
1
.
6
8
9
0
.
2
7
5
0
.
0
0
1
.
1
8
0
.
5
1
8
2
.
7
4
4
.
7
1
1
.
8
7
9
1
.
0
1
6
0
.
0
0
1
.
1
9
0
.
5
2
8
4
.
4
6
4
.
9
1
1
.
9
3
9
3
.
0
1
7
0
.
0
0
0
.
0
6
1
.
1
5
4
6
.
1
8
4
3
.
1
4
4
.
2
1
9
4
.
7
4
8
0
.
0
0
1
.
1
4
0
.
6
0
8
3
.
2
4
4
.
5
0
1
.
7
2
9
1
.
2
0
9
0
.
0
0
0
.
0
4
1
.
2
6
4
6
.
8
8
4
1
.
6
1
4
.
8
5
9
4
.
6
4
1
0
0
.
0
0
1
.
1
9
0
.
5
5
8
3
.
2
4
4
.
7
3
1
.
9
5
9
1
.
6
6
1
0
0
.
0
0
1
.
1
0
0
.
5
8
8
2
.
1
9
4
.
6
9
1
.
8
9
9
0
.
4
5
1
1
0
.
0
0
0
.
0
6
1
.
2
8
4
7
.
3
7
4
2
.
6
6
3
.
8
5
9
5
.
2
2
1
1
0
.
0
0
0
.
0
3
1
.
1
4
4
6
.
9
1
4
3
.
5
2
3
.
7
5
9
5
.
3
5
1
2
0
.
0
0
0
.
0
4
1
.
1
9
4
5
.
5
5
4
2
.
8
3
5
.
6
7
9
5
.
2
8
1
3
0
.
0
0
1
.
2
4
0
.
5
6
8
3
.
8
6
5
.
1
7
1
.
9
4
9
2
.
7
7
1
3
0
.
0
0
1
.
2
0
0
.
5
7
8
3
.
7
0
5
.
9
8
1
.
9
2
9
3
.
3
7
1
4
0
.
0
0
0
.
0
7
1
.
2
3
4
6
.
4
9
4
3
.
2
3
4
.
0
1
9
5
0
3
1
5
0
.
0
0
0
.
0
6
1
.
1
6
4
7
.
3
1
4
2
.
8
9
3
.
9
4
9
5
3
6
1
6
0
.
0
0
0
.
0
6
1
.
2
0
4
7
.
1
6
4
2
.
7
1
3
.
9
1
9
5
0
4
1
7
0
.
0
0
0
.
0
6
1
.
3
2
4
5
.
4
2
4
3
.
3
5
6
.
0
5
9
6
.
2
0
1
8
0
.
0
0
1
.
2
3
0
.
7
0
8
2
.
6
9
4
.
6
3
2
.
3
0
9
1
.
5
5
1
8
0
.
0
0
1
.
1
4
0
.
5
8
8
1
.
3
0
4
.
3
5
2
.
1
9
8
9
.
5
6
R
1
8
-
2
,
R
u
n
#
1
1
0
.
0
0
0
.
1
2
1
.
3
6
4
9
.
2
2
4
4
.
4
3
2
.
3
8
9
7
.
5
1
2
0
.
0
4
1
.
2
7
0
.
6
9
8
1
.
7
0
5
.
9
1
1
.
3
9
9
0
.
9
9
3
0
.
0
0
0
.
1
3
0
.
7
0
4
7
.
2
3
4
1
.
6
0
1
.
4
6
9
1
.
1
2
4
0
.
0
0
0
.
1
1
1
.
0
4
4
9
.
1
8
4
0
.
7
1
2
.
6
6
9
3
.
7
1
5
0
.
0
5
1
.
1
2
0
.
6
5
8
2
.
1
2
5
.
7
3
1
.
4
3
9
1
.
1
0
5
0
.
0
5
1
.
2
2
0
.
7
7
8
3
.
1
7
5
.
6
2
1
.
1
4
9
1
.
9
7
6
0
.
0
5
1
.
4
4
0
.
5
3
8
1
.
6
4
5
.
1
5
1
.
6
3
9
0
.
4
4
6
0
.
0
4
1
.
3
1
0
.
4
8
8
2
.
4
8
5
.
1
4
1
.
6
4
9
1
.
0
8
7
0
.
0
0
0
.
1
6
1
.
4
1
4
8
.
0
0
4
1
.
6
0
1
.
8
3
9
3
.
0
0
8
0
.
0
0
0
.
0
9
1
.
4
8
4
9
.
1
0
4
0
.
4
2
2
.
2
7
9
3
.
3
6
8
0
.
0
0
0
.
1
4
1
.
5
2
4
8
.
5
0
4
0
.
2
5
2
.
4
7
9
2
.
8
8
9
0
.
0
3
1
.
1
8
0
.
7
2
8
1
.
6
2
5
.
7
6
1
.
1
9
9
0
.
5
0
1
0
0
.
0
3
1
.
2
0
0
.
7
5
8
1
.
3
4
5
.
5
4
1
.
3
1
9
0
.
1
7
1
1
0
.
0
0
0
.
1
4
1
.
5
0
4
9
.
1
1
4
0
.
7
1
2
.
3
8
9
3
.
8
4
1
2
0
.
0
0
0
.
1
3
1
.
4
5
4
8
.
8
8
4
0
.
7
9
2
.
4
9
9
3
.
7
4
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
0
4
 
M
A
G
N
E
T
I
T
E
A
N
D
I
I
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
a
1
2
0
3
a
g
o
F
e
O
T
1
0
2
u
n
o
T
o
t
a
l
R
1
8
-
2
,
R
u
n
#
2
_
1
0
.
0
0
1
.
2
7
0
.
7
6
8
2
.
5
9
6
.
4
2
1
.
2
8
9
2
.
3
2
2
0
.
0
0
1
.
1
7
0
.
7
7
8
3
.
1
1
5
.
9
5
1
.
5
9
9
2
.
6
0
2
0
.
0
0
1
.
1
2
0
.
7
3
8
3
.
8
7
5
.
7
3
1
.
7
2
9
3
.
1
8
3
0
.
0
4
1
.
0
2
0
.
8
5
8
2
.
8
1
5
.
6
5
1
.
7
4
9
2
.
1
2
4
0
.
0
0
0
.
1
1
1
.
5
8
5
1
.
0
5
4
1
.
4
0
2
.
3
9
9
6
.
5
1
5
0
.
0
0
0
.
1
3
1
.
3
5
4
9
.
5
2
4
1
.
9
2
2
.
3
6
9
5
.
2
9
6
0
.
0
0
1
.
2
2
0
.
7
4
8
1
.
9
1
5
.
1
0
1
.
3
3
9
0
.
3
0
6
0
.
0
0
1
.
2
7
0
.
7
6
8
3
.
4
9
5
.
4
1
1
.
3
0
9
2
.
2
3
7
0
.
0
0
0
.
1
2
1
.
6
6
5
0
.
0
1
4
1
.
7
7
2
.
5
5
9
6
.
1
1
8
0
.
0
0
1
.
1
8
0
.
9
2
8
2
.
7
8
5
.
7
5
1
.
2
4
9
1
.
8
7
9
0
.
0
0
1
.
2
1
0
.
8
1
8
2
.
6
6
5
.
1
7
1
.
4
2
9
1
2
8
9
0
.
0
0
1
.
1
1
0
.
7
8
8
2
.
5
0
5
.
8
9
1
.
5
6
9
1
.
8
3
1
0
0
.
0
0
0
.
1
0
1
.
6
4
5
0
.
1
7
4
2
.
2
7
2
.
3
5
9
6
.
5
3
1
1
0
.
0
0
0
.
0
8
1
.
3
6
4
9
.
6
8
4
1
.
5
8
2
.
2
1
9
4
.
9
1
1
2
0
.
0
0
1
.
2
3
0
.
7
5
8
2
.
2
6
5
.
8
7
1
.
5
2
9
1
.
6
2
1
2
0
.
0
0
1
.
2
6
0
.
7
3
8
1
.
7
0
5
.
5
5
1
.
3
7
9
0
.
6
1
1
3
0
.
0
0
0
.
1
3
1
.
4
2
4
9
.
3
9
4
0
.
9
3
2
.
4
7
9
4
.
3
4
1
4
0
.
0
0
0
.
0
8
1
.
5
4
4
8
.
6
5
4
2
.
3
5
2
.
2
9
9
4
.
9
1
1
5
0
.
0
0
1
.
3
3
0
.
8
3
8
2
.
2
9
5
.
4
5
1
.
5
3
9
1
.
4
4
1
6
0
.
0
0
1
.
1
8
0
.
6
9
8
1
.
8
6
6
.
1
0
1
.
2
4
9
1
0
7
1
6
0
.
0
0
1
.
2
5
0
.
7
2
8
3
.
4
1
5
.
8
9
1
.
2
3
9
2
.
5
0
1
7
0
.
0
0
0
.
1
1
1
.
4
6
4
7
.
9
2
4
2
.
5
1
2
.
5
0
9
4
.
5
0
1
7
0
.
0
0
0
.
1
1
1
.
6
1
4
8
.
9
9
4
2
.
2
7
2
.
7
0
9
5
.
6
8
R
I
B
-
1
6
1
0
.
0
1
1
.
4
2
0
.
8
3
8
4
.
6
7
6
.
8
0
1
.
4
0
9
5
.
1
3
2
0
.
0
0
0
.
1
0
1
.
6
0
5
1
.
8
0
4
3
.
5
6
2
.
1
5
9
9
.
2
1
2
0
.
0
0
0
.
0
9
1
.
5
1
5
0
.
8
7
4
3
.
0
8
1
.
9
3
9
7
.
4
8
3
0
.
0
0
0
.
0
9
1
.
5
1
5
1
.
6
7
4
3
.
2
9
1
.
8
4
9
8
.
4
0
3
0
.
0
0
0
.
1
0
1
.
7
3
5
2
.
3
5
4
2
.
3
9
2
.
6
8
9
9
.
2
5
4
0
.
0
1
1
.
4
2
0
.
7
5
8
3
.
5
5
6
.
0
5
1
.
2
6
9
3
.
0
4
4
0
.
0
7
1
.
3
3
0
.
7
2
8
4
.
0
8
6
.
2
2
1
.
1
2
9
3
.
5
4
5
0
.
0
3
1
.
1
3
1
.
0
0
8
6
.
4
4
5
.
9
6
1
.
5
9
9
6
.
1
5
5
0
.
0
5
1
.
1
6
0
.
8
5
8
4
.
9
4
5
.
6
9
1
.
6
4
9
4
.
3
3
6
0
.
0
0
0
.
0
8
1
.
7
0
5
2
.
2
1
4
1
.
6
7
2
.
3
0
9
7
.
9
6
6
0
.
0
0
0
.
1
1
1
.
4
9
5
2
.
4
5
4
1
.
5
5
2
.
2
9
9
7
.
8
9
7
0
.
1
2
1
.
1
7
1
.
0
2
8
4
.
0
6
5
.
9
2
1
.
5
2
9
3
.
8
1
7
0
.
1
1
1
.
1
0
1
.
1
6
8
5
.
5
0
5
.
6
9
1
.
6
5
9
5
.
2
1
8
0
.
0
0
0
.
0
7
1
.
6
7
5
2
.
1
7
4
1
.
4
1
2
.
1
9
9
7
.
5
1
9
0
.
0
0
0
.
0
8
1
.
5
2
5
1
.
8
8
4
3
.
0
3
2
.
0
6
9
8
.
5
7
1
0
p
1
0
.
0
1
1
.
3
1
0
.
2
9
8
3
.
4
2
5
.
7
1
0
.
2
9
9
1
.
0
3
1
0
p
1
0
.
0
1
1
.
0
7
0
.
2
3
8
2
.
9
9
5
.
4
6
0
.
1
7
8
9
.
9
3
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
0
5
 
.
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
 
S
a
m
p
l
e
G
r
a
i
n
#
C
r
2
0
3
A
1
2
0
3
M
9
0
F
e
O
T
1
0
2
n
m
o
T
o
t
a
l
R
I
B
-
1
6
,
C
o
n
t
i
n
u
e
d
1
1
p
1
0
.
0
0
0
.
1
6
1
.
7
8
5
1
.
1
0
4
3
.
3
9
2
.
2
1
9
8
.
6
4
1
2
0
.
0
0
1
.
3
3
0
.
9
1
8
6
.
0
7
5
.
9
7
1
.
3
9
9
5
.
6
7
1
2
0
.
0
4
1
.
3
6
0
.
9
4
8
5
.
2
4
6
.
2
7
1
.
5
4
9
5
.
3
9
1
3
0
.
0
4
1
.
2
3
0
.
7
5
8
3
.
0
2
6
.
0
1
0
.
9
3
9
1
.
9
8
1
3
0
.
0
0
1
.
1
2
0
.
2
5
8
1
.
7
6
7
.
2
1
0
.
5
0
9
0
.
8
4
1
4
0
.
0
0
0
.
1
0
1
.
4
4
5
2
.
9
4
4
1
.
9
7
2
.
4
4
9
8
8
9
1
5
0
.
0
5
1
.
2
6
0
.
9
0
8
5
.
8
2
6
.
2
4
1
.
4
6
9
5
.
7
3
1
6
0
.
0
0
0
.
1
2
1
.
6
2
5
1
.
6
5
4
2
.
8
6
2
.
1
6
9
8
.
4
1
R
2
1
-
l
,
R
u
n
#
1
1
0
.
0
2
1
.
7
7
1
.
4
4
8
0
.
2
0
6
.
7
2
0
.
9
9
9
1
.
1
4
1
0
.
0
4
1
.
8
4
1
.
4
7
8
1
.
4
2
5
.
0
3
1
.
2
9
9
1
.
0
9
1
0
.
0
4
1
.
7
2
1
.
2
7
8
1
.
2
5
5
.
2
4
1
.
0
6
9
0
.
5
8
2
0
.
0
7
1
.
7
0
1
.
4
0
8
4
.
8
8
4
.
9
3
1
.
0
8
9
4
.
0
6
2
0
.
0
4
1
.
7
2
1
.
5
5
8
2
.
7
4
4
.
8
9
1
.
3
3
9
2
.
2
7
3
0
.
0
0
0
.
1
9
2
.
4
1
5
3
.
4
7
2
6
.
9
6
1
.
2
4
8
4
.
2
7
3
0
.
0
0
0
.
1
8
2
.
3
1
5
3
.
9
3
2
6
.
2
0
1
.
1
9
8
3
.
8
1
4
0
.
0
0
0
.
1
6
2
.
1
8
5
4
7
8
2
5
.
6
4
1
.
1
5
8
3
.
9
1
R
2
1
-
l
,
R
u
n
#
2
‘
1
0
.
0
2
1
.
6
7
1
.
3
8
8
0
.
1
7
9
.
6
5
1
.
5
6
9
4
.
4
5
1
0
.
0
3
1
.
5
6
1
.
2
7
8
1
.
0
1
7
.
4
8
1
.
1
4
9
2
.
4
9
1
0
.
0
0
1
.
6
6
1
.
4
8
8
1
.
5
1
7
.
6
0
1
.
3
3
9
3
.
5
8
2
0
.
0
2
1
.
8
7
1
.
3
3
7
7
.
5
5
9
.
4
5
1
.
5
5
9
1
.
7
7
2
0
.
0
5
1
.
7
0
1
.
1
0
7
8
.
5
9
9
.
2
2
1
.
3
0
9
1
.
9
6
3
0
.
0
0
0
.
2
4
1
.
6
9
5
5
.
6
8
3
8
.
9
2
1
.
0
0
9
7
.
5
3
4
0
.
0
4
1
.
5
7
0
.
4
9
7
7
.
1
4
8
.
5
5
0
.
6
9
8
8
.
4
8
5
0
.
0
0
0
.
1
8
1
.
8
3
5
4
.
9
2
4
0
.
2
7
1
.
2
8
9
8
.
4
8
5
0
.
0
0
0
.
2
9
2
.
2
3
5
4
.
8
3
3
8
.
9
8
1
.
4
7
9
7
.
8
0
6
0
.
0
1
1
.
6
5
1
.
3
1
8
1
.
1
1
8
.
0
5
1
1
.
1
5
9
3
.
2
8
7
0
.
0
0
0
.
2
3
2
.
1
1
5
3
.
1
2
4
0
.
0
2
1
.
2
6
9
6
.
7
4
8
0
.
0
2
1
.
6
2
1
.
1
1
7
9
.
9
5
7
.
3
5
1
.
1
3
9
1
.
1
8
9
0
.
0
4
1
.
6
2
1
.
1
5
7
7
.
9
6
7
.
9
8
1
.
0
7
8
9
.
8
2
1
0
0
.
0
0
0
.
2
0
2
.
2
7
5
3
.
7
9
3
9
.
1
6
1
.
3
8
9
6
.
8
0
1
0
0
.
0
0
0
.
1
8
2
.
1
6
5
2
.
0
9
3
9
.
3
5
0
.
7
0
9
4
.
4
8
1
1
0
.
0
3
1
.
5
5
1
.
1
1
8
1
.
3
4
7
.
9
7
1
.
1
7
9
3
.
1
7
1
1
0
.
0
3
1
.
5
9
1
.
0
9
8
1
.
2
0
8
.
3
2
1
.
1
2
9
3
.
3
5
1
2
0
.
0
0
0
.
2
2
2
.
1
4
5
4
.
7
2
3
9
.
3
9
1
.
1
6
9
7
.
6
3
1
2
0
.
0
0
0
.
2
3
1
.
4
4
5
5
.
4
7
3
7
.
5
5
0
.
9
8
9
5
.
6
7
1
3
0
.
0
4
1
.
5
7
1
.
3
9
8
2
.
6
9
8
.
2
4
1
.
3
6
9
5
.
2
9
1
3
0
.
0
4
1
.
6
0
1
.
2
8
8
4
.
0
7
6
.
7
6
1
.
2
7
9
5
.
0
2
1
3
0
.
0
3
1
.
5
8
1
.
3
5
8
3
.
1
8
6
.
7
7
1
.
3
1
9
4
.
2
2
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
0
6
 
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
3
1
2
0
3
M
9
0
T
o
o
T
1
0
2
u
n
o
T
o
t
a
l
l
£
2
1
-
5
1
0
.
0
0
1
.
2
9
1
.
1
3
8
2
.
7
5
7
.
3
1
1
.
3
2
9
3
.
8
0
1
0
.
0
0
1
.
3
8
1
.
1
4
8
4
.
0
3
4
.
6
5
1
.
2
8
9
2
.
4
8
2
0
.
0
0
1
.
2
9
0
.
3
9
8
1
.
3
1
4
.
3
1
0
.
5
3
8
7
.
8
3
2
0
.
0
0
1
.
2
6
0
.
1
5
7
8
.
0
6
6
.
2
3
0
.
2
9
8
5
.
9
9
3
0
.
0
0
1
.
3
0
1
.
1
1
8
4
.
2
2
4
.
5
2
1
.
3
7
9
2
.
5
2
3
0
.
0
0
1
.
3
2
0
.
2
5
7
9
.
4
4
4
.
0
8
0
.
3
4
8
5
.
4
3
3
0
.
0
0
1
.
4
6
1
.
1
7
8
4
.
3
7
2
.
8
1
1
.
2
4
9
1
.
0
5
4
0
.
0
0
0
.
1
0
1
.
8
4
5
3
.
8
6
3
7
1
6
1
.
3
1
9
4
.
2
7
4
0
.
0
0
0
.
1
5
1
.
8
9
5
4
.
9
2
3
7
3
1
1
.
3
2
9
5
.
5
9
5
0
.
0
0
1
.
3
2
0
.
3
8
7
7
.
5
4
5
.
8
5
0
.
5
9
8
5
.
6
8
5
0
.
0
1
1
.
3
4
1
.
1
9
8
2
.
4
9
5
.
6
5
1
.
1
7
9
1
.
8
5
5
0
.
0
0
1
.
2
7
0
.
5
5
7
9
.
9
9
5
.
2
8
0
.
7
4
8
7
.
8
3
6
0
.
0
0
0
.
1
7
1
.
9
3
5
3
.
7
3
3
8
.
2
3
1
.
4
8
9
5
.
5
4
7
0
.
0
0
0
.
1
2
1
.
8
5
5
2
.
3
3
3
9
.
4
9
1
.
4
4
9
5
.
2
3
7
0
.
0
0
0
.
1
4
1
.
1
7
5
2
.
2
1
3
9
.
2
3
0
.
8
5
9
3
6
0
8
0
.
0
0
0
.
1
7
1
.
7
2
5
5
.
5
5
3
7
.
0
8
1
.
2
5
9
5
.
7
7
9
0
.
0
0
0
.
1
3
1
.
7
0
5
2
.
4
6
3
9
.
2
5
1
.
2
6
9
4
.
8
0
9
0
.
0
0
0
.
1
5
1
.
6
5
5
2
.
7
4
3
7
.
4
1
1
.
2
7
9
3
.
2
2
1
0
0
.
0
0
1
.
1
9
1
.
2
5
7
9
.
8
9
8
.
7
2
1
.
4
9
9
2
.
5
4
1
0
0
.
0
0
1
.
3
9
1
.
3
1
8
3
.
6
1
6
.
5
0
1
.
2
8
9
4
.
0
9
1
0
0
.
0
0
1
.
3
7
1
.
1
9
8
2
.
3
1
5
.
9
2
1
.
2
6
9
2
.
0
5
1
1
p
1
0
.
0
0
0
.
1
7
1
.
7
6
5
4
.
9
1
3
7
.
9
3
1
.
2
7
9
6
.
0
4
1
1
p
1
0
.
0
0
0
.
1
8
1
.
8
8
5
4
.
9
0
3
7
.
8
7
1
.
3
8
9
6
.
2
1
1
2
p
1
0
.
0
0
1
.
4
2
1
.
0
4
8
1
.
3
3
5
.
5
0
1
.
0
4
9
0
.
3
3
1
2
p
1
0
.
0
0
1
.
2
7
1
.
0
7
8
1
.
4
1
6
.
4
0
1
.
1
6
9
1
.
3
1
R
2
1
-
1
3
1
0
.
0
1
3
.
5
3
2
.
4
2
7
6
.
7
0
9
.
1
5
0
.
8
8
9
2
.
7
0
1
0
.
0
0
2
.
8
4
1
.
8
1
7
8
.
0
1
9
.
0
0
0
.
6
1
9
2
.
2
7
2
0
.
0
0
3
.
4
0
2
.
3
0
7
6
.
6
0
9
.
5
0
0
.
7
0
9
2
.
5
0
2
0
.
0
0
3
.
2
2
2
.
0
9
7
6
.
0
6
8
.
7
5
0
.
5
4
9
0
.
6
7
3
0
.
0
1
2
.
6
4
3
.
0
2
7
5
.
3
0
7
.
8
8
1
.
3
2
9
0
.
1
8
3
0
.
0
0
2
.
6
1
1
.
8
2
7
6
.
5
8
8
.
5
9
0
.
5
6
9
0
.
1
6
4
0
.
0
0
0
.
2
5
2
.
7
6
5
0
.
3
8
4
0
.
1
1
0
.
7
8
9
4
.
3
0
4
0
.
0
0
0
.
3
9
2
.
1
5
5
7
.
1
7
3
4
.
0
6
0
.
4
2
9
4
.
2
0
5
0
.
0
0
0
.
2
6
3
.
0
6
5
3
.
5
6
3
5
.
6
1
0
.
7
9
9
3
.
2
8
5
0
.
0
0
0
.
2
9
2
.
7
6
5
0
.
3
1
4
0
.
4
7
0
.
8
3
9
4
.
6
5
6
0
.
0
0
0
.
3
2
2
.
5
9
5
3
.
1
7
3
8
.
0
0
0
.
6
7
9
4
.
7
5
6
0
.
0
0
0
.
3
8
2
.
9
3
5
5
.
7
0
3
5
.
2
0
0
.
7
1
9
4
.
9
2
6
0
.
0
0
0
.
3
0
3
.
1
1
5
2
.
1
8
3
7
.
3
9
0
.
7
9
9
3
.
7
6
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
0
7
 
.
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
A
1
2
0
3
u
g
o
F
e
O
T
1
0
2
u
n
o
T
o
t
a
l
R
2
3
-
1
3
1
0
.
0
0
1
.
4
0
0
.
9
9
8
1
.
3
5
8
.
6
4
1
.
3
2
9
3
.
7
0
1
0
.
0
0
1
.
4
2
0
.
9
8
8
2
.
4
0
6
.
9
8
1
.
4
1
9
3
.
1
9
2
0
.
0
0
2
.
0
4
1
.
5
2
7
9
.
7
7
1
0
.
2
1
0
.
8
1
9
4
.
3
5
2
0
.
0
0
2
.
3
7
1
.
2
6
7
9
.
5
8
8
.
8
0
0
.
8
1
9
2
.
8
2
3
0
.
0
0
1
.
7
5
1
.
0
7
7
9
.
6
5
9
.
4
8
1
.
0
3
9
2
.
9
8
3
0
.
0
0
2
.
2
5
1
.
1
1
7
8
.
6
2
7
.
8
8
1
.
1
3
9
0
.
9
9
4
0
.
0
0
1
.
7
7
1
.
0
9
8
0
.
0
3
8
.
6
0
1
.
2
2
9
2
.
7
1
4
0
.
0
0
1
.
9
3
1
.
2
3
8
1
.
1
6
8
.
4
1
1
.
2
7
9
4
.
0
0
4
0
.
0
0
1
.
9
4
1
.
0
0
7
1
.
8
3
7
.
7
8
1
.
3
6
8
3
.
9
1
5
0
.
0
0
0
.
1
9
1
.
9
2
5
3
.
2
6
3
7
.
8
8
1
.
2
7
9
4
.
5
2
5
0
.
0
0
0
.
2
5
1
.
8
6
5
3
.
1
2
3
9
.
0
8
1
.
1
8
9
5
.
4
9
6
0
.
0
0
0
.
1
5
2
.
3
1
5
1
.
0
6
4
0
.
2
2
1
.
9
4
9
5
.
6
8
7
0
.
0
0
0
.
2
0
2
.
1
1
5
1
.
1
0
3
7
.
9
7
1
.
3
4
9
2
.
7
2
7
0
.
0
0
0
.
2
2
1
.
6
5
5
1
.
8
6
3
9
.
9
9
1
.
1
7
9
4
.
8
9
8
0
.
0
0
0
.
1
7
1
.
9
5
5
4
.
7
8
3
5
.
1
4
1
.
3
8
9
3
.
4
2
9
0
.
0
0
2
.
1
2
1
.
2
3
8
0
.
8
9
8
.
2
2
1
.
2
9
9
3
.
7
5
1
0
0
.
0
0
1
.
8
1
1
.
1
5
7
9
.
9
3
8
.
8
9
1
.
2
1
9
2
.
9
9
1
0
0
.
0
4
1
.
8
5
1
.
2
1
8
1
.
5
4
8
.
3
1
1
.
3
5
9
4
.
3
0
1
1
0
.
0
0
0
.
2
1
1
.
6
9
5
0
.
5
2
3
9
.
6
5
2
.
0
0
9
4
.
0
7
1
1
0
.
0
0
0
.
1
8
2
.
1
3
5
1
.
8
5
3
9
.
3
4
1
.
7
5
9
5
.
2
5
1
2
0
.
0
0
0
.
2
6
2
.
3
1
4
9
.
3
1
4
0
.
5
4
1
.
4
6
9
3
.
8
8
1
3
0
.
0
1
1
.
7
6
1
.
1
3
8
0
.
0
1
8
.
9
6
1
.
0
2
9
2
.
8
9
1
3
0
.
0
0
1
.
9
4
1
.
2
0
7
8
.
9
4
8
.
8
1
1
.
2
1
9
2
.
1
0
1
4
0
.
0
0
0
.
1
9
2
.
5
1
5
2
.
9
1
3
7
.
9
9
2
.
3
4
9
5
.
9
4
1
5
0
.
0
4
1
.
9
1
1
.
6
1
7
8
.
0
5
9
.
6
4
1
.
1
4
9
2
.
3
9
1
5
0
.
0
3
2
.
2
7
1
.
5
9
8
0
.
3
0
1
0
.
0
4
1
.
1
9
9
5
.
4
2
1
6
0
.
0
0
0
.
2
6
2
.
1
1
5
1
.
1
3
3
9
.
7
0
1
.
2
2
9
4
.
4
2
1
6
0
.
0
0
0
.
2
3
2
.
3
6
5
1
.
4
8
3
9
.
8
6
1
.
1
9
9
5
.
1
2
1
7
0
.
0
2
1
.
7
6
1
.
4
8
8
0
.
5
2
8
.
5
6
1
.
1
7
9
3
.
5
1
1
7
0
.
0
0
1
.
0
2
1
.
3
1
8
1
.
9
4
9
.
2
8
1
.
5
4
9
5
.
0
9
1
8
0
.
0
0
0
.
2
3
1
.
9
9
5
5
.
3
1
3
8
.
7
7
1
.
1
1
9
7
.
4
1
1
8
0
.
0
0
0
.
2
2
1
.
8
8
5
5
.
7
7
3
7
.
6
6
1
.
0
5
9
6
.
5
8
1
9
0
.
0
1
1
.
8
4
1
.
4
7
8
1
.
3
9
8
.
4
6
1
.
3
6
9
4
.
5
3
1
9
0
.
0
0
1
.
5
9
1
.
1
4
7
9
.
1
3
8
.
7
9
1
.
0
5
9
1
.
7
0
2
0
0
.
0
0
0
.
2
2
2
.
1
9
5
2
.
5
2
4
1
.
1
4
1
.
4
5
9
7
.
5
2
2
0
0
.
0
0
0
.
2
0
1
.
3
4
5
4
.
6
5
3
7
.
8
0
0
.
8
6
9
4
.
8
5
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
0
8
 
.
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
A
1
2
0
3
a
g
o
T
o
o
T
1
0
2
m
o
o
T
o
t
a
l
R
2
3
-
2
4
1
0
.
0
0
3
.
1
3
1
.
9
6
7
4
.
6
1
1
0
.
6
7
0
.
6
2
9
0
.
9
9
1
0
.
0
0
2
.
6
8
2
.
0
1
7
7
.
5
4
8
.
6
4
0
.
7
7
9
1
.
6
4
2
0
.
0
2
2
.
7
4
2
.
3
5
7
5
.
0
5
8
.
7
8
0
.
9
1
8
9
.
8
5
2
0
.
0
1
2
.
7
8
2
.
3
2
7
8
.
0
2
9
.
0
5
0
.
8
1
9
2
.
9
9
3
0
.
0
0
3
.
4
4
2
.
2
0
7
6
0
7
9
.
3
9
0
.
7
1
9
1
.
8
1
3
0
.
0
0
2
.
5
8
2
.
1
7
7
7
.
6
3
8
.
6
9
0
.
8
6
9
1
.
9
3
4
0
.
0
4
1
.
8
5
1
.
6
1
7
7
.
9
1
9
.
0
4
0
.
8
7
9
1
.
3
2
4
0
.
0
0
1
.
6
4
1
.
7
3
7
8
0
5
8
.
8
9
0
.
8
8
9
1
.
1
9
5
0
.
0
0
2
.
7
3
2
.
2
3
7
7
.
5
9
9
.
4
9
0
.
8
4
9
2
.
8
8
5
0
.
0
0
2
.
7
6
2
.
5
2
7
5
.
6
8
9
.
1
9
1
.
8
7
9
2
.
0
2
6
0
.
0
0
0
.
4
3
2
.
5
0
5
1
.
1
8
3
8
.
3
2
0
.
5
2
9
2
.
9
5
6
0
.
0
0
0
.
4
0
2
.
7
9
5
1
.
1
8
3
8
.
3
0
0
.
6
6
9
3
.
3
3
7
0
.
0
0
1
.
6
3
1
.
6
1
7
8
.
6
9
9
.
2
6
0
.
8
4
9
2
.
0
3
7
0
.
0
0
2
.
0
2
1
.
6
7
7
8
.
3
5
9
.
3
8
0
.
8
2
9
2
.
2
4
8
0
.
0
0
0
.
3
2
2
.
3
8
5
0
.
2
3
3
8
.
6
1
0
.
6
3
9
2
.
1
7
8
0
.
0
0
0
.
3
9
2
.
4
5
5
2
1
9
3
8
.
8
2
0
.
6
2
9
4
.
4
7
9
0
.
0
0
0
.
3
2
2
.
4
0
5
2
.
2
9
3
8
.
1
0
0
.
6
1
9
3
.
7
2
1
0
0
.
0
0
0
.
4
0
2
.
6
1
5
0
8
7
3
8
.
8
1
0
.
6
1
9
3
.
3
0
1
0
0
.
0
0
0
.
3
3
2
.
7
3
5
1
7
7
3
6
.
9
0
0
.
6
0
9
2
.
3
3
1
1
0
.
0
0
0
.
4
1
2
.
7
3
5
2
.
3
5
3
9
.
4
2
0
.
5
8
9
5
.
4
9
1
1
0
.
0
0
0
.
4
1
2
.
6
2
5
1
.
4
4
3
9
.
6
0
0
.
6
9
9
4
.
7
6
1
2
0
.
0
3
3
.
1
6
2
.
3
1
7
5
.
1
0
1
0
.
6
5
0
.
8
0
9
2
.
0
5
1
2
0
.
0
0
3
.
0
9
2
.
1
6
7
6
.
5
2
9
.
4
9
0
.
6
9
9
1
.
9
5
1
3
0
.
0
0
3
.
2
7
2
.
2
0
7
2
.
1
9
1
1
.
3
9
0
.
8
2
8
9
.
8
7
1
4
0
.
0
0
3
.
3
1
2
.
3
1
7
6
.
0
5
9
.
3
1
0
.
8
2
9
1
.
8
0
1
5
0
.
0
0
2
.
9
3
2
.
1
6
7
4
.
5
1
9
.
6
8
0
.
9
9
9
0
.
2
7
1
5
0
.
0
0
2
.
7
5
2
.
0
6
7
5
.
8
2
9
.
0
6
0
.
9
5
9
0
.
6
4
1
6
0
.
0
1
2
.
8
3
2
.
2
1
7
5
.
5
8
9
.
1
9
0
.
9
3
9
0
.
7
5
1
7
0
.
0
0
0
.
3
9
2
.
7
5
5
2
.
0
0
3
8
.
3
1
0
.
6
3
9
4
.
0
8
1
7
0
.
0
0
0
.
3
5
2
.
0
7
5
0
.
3
8
3
7
.
7
9
0
.
4
3
9
1
.
0
2
1
8
0
.
0
0
2
.
5
6
2
.
2
7
7
4
.
5
1
9
.
4
1
1
.
0
3
8
9
.
7
8
1
8
0
.
0
0
2
.
3
9
2
.
2
3
7
5
.
6
5
9
.
8
1
0
.
9
4
9
1
.
0
2
1
9
0
.
0
0
0
.
3
3
2
.
3
4
5
1
.
6
0
3
8
.
3
4
0
.
6
2
9
3
.
2
3
1
9
0
.
0
0
0
.
3
1
2
.
8
2
5
2
.
6
5
3
6
.
8
3
0
.
6
7
9
3
.
2
8
2
0
0
.
0
0
2
.
4
2
2
.
1
1
7
5
.
8
2
9
.
3
8
0
.
8
3
9
0
.
5
6
2
0
0
.
0
2
2
.
6
3
2
.
3
3
7
6
.
3
9
9
.
2
7
0
.
8
9
9
1
.
5
3
2
1
0
.
0
0
0
.
3
9
2
.
7
6
5
1
.
4
9
3
8
.
5
2
0
.
5
5
9
3
.
7
1
2
1
0
.
0
0
0
.
3
8
2
.
7
1
5
1
.
4
7
3
9
.
8
6
0
.
5
5
9
4
.
9
7
2
2
0
.
0
0
0
.
2
7
2
.
9
4
5
0
.
4
9
3
9
.
3
7
0
.
7
3
9
3
.
8
0
2
3
0
.
0
0
3
.
5
4
2
.
2
5
7
7
.
4
0
1
0
.
9
0
0
.
6
8
9
4
.
7
7
2
3
0
.
0
0
2
.
9
8
1
.
6
9
7
9
.
5
0
9
.
3
2
0
.
5
3
9
4
.
0
4
2
3
0
.
0
4
2
.
5
9
2
.
3
4
7
9
.
4
5
9
.
6
3
0
.
9
8
9
5
.
0
5
2
4
0
.
0
0
0
.
4
4
2
.
7
1
5
2
.
7
0
4
0
.
3
9
0
.
6
5
9
6
.
8
9
3
0
9
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
 
I
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
R
a
i
n
i
e
r
M
e
s
a
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
#
C
r
2
0
3
A
1
2
0
3
u
g
o
F
e
O
T
1
0
2
M
n
O
T
o
t
a
l
 
R
2
3
-
2
4
,
C
o
n
t
i
n
u
e
d
2
4
0
.
0
0
0
.
4
1
2
.
6
1
5
2
.
1
2
4
0
.
9
0
0
.
5
4
9
6
.
5
8
R
2
3
-
2
6
1
0
.
0
0
0
.
3
1
1
.
9
3
5
5
.
6
8
4
0
.
4
0
1
.
0
6
9
9
.
3
7
1
0
.
0
0
0
.
3
2
2
.
0
8
5
4
.
1
9
4
0
.
1
5
1
.
0
0
9
7
.
7
4
2
0
.
0
4
1
.
7
7
1
.
4
7
8
0
.
2
2
9
.
7
8
1
.
0
1
9
4
.
2
8
2
0
.
0
4
1
.
8
1
1
.
6
7
8
0
.
8
9
9
.
9
0
1
.
2
1
9
5
.
5
1
3
0
.
0
1
2
.
0
0
1
.
9
6
7
9
.
7
6
8
.
1
5
1
.
5
1
9
3
.
3
9
3
0
.
0
3
1
.
5
8
1
.
5
2
7
9
.
1
5
8
.
7
9
1
.
4
5
9
2
.
5
2
4
0
.
0
3
2
.
3
5
1
.
7
2
7
8
.
8
4
9
.
0
6
1
.
3
1
9
3
.
3
1
4
0
.
0
0
2
.
5
8
1
.
8
0
7
9
.
7
7
7
.
9
2
1
.
2
5
9
3
.
3
2
5
0
.
0
3
2
.
5
8
1
.
9
9
7
7
.
4
7
8
.
5
7
1
.
4
0
9
2
.
0
4
5
0
.
0
3
2
.
1
6
1
.
6
2
7
8
.
5
9
9
.
9
7
1
.
3
8
9
3
.
7
6
6
0
.
0
0
0
.
2
5
2
.
3
8
5
3
.
4
1
3
9
.
7
7
1
.
4
2
9
7
.
2
2
6
0
.
0
0
0
.
2
8
1
.
6
5
5
5
.
3
5
3
8
.
8
2
0
.
9
7
9
7
.
0
7
7
0
.
0
3
1
.
7
1
2
.
0
6
8
0
.
2
0
9
.
1
0
1
.
5
2
9
4
.
6
0
7
0
.
0
0
1
.
8
7
1
.
5
8
7
7
.
7
6
9
.
3
1
1
.
1
2
9
1
.
6
4
8
0
.
0
0
0
.
1
9
3
.
1
6
5
3
.
2
2
4
0
.
2
6
1
.
6
0
9
8
.
4
3
8
0
.
0
0
0
.
2
0
2
.
7
1
5
3
.
9
0
3
8
.
3
2
1
.
2
8
9
6
.
4
2
9
0
.
0
0
0
.
2
0
2
.
3
1
5
5
.
5
2
3
8
.
4
2
1
.
1
1
9
7
.
5
6
9
0
.
0
0
0
.
1
7
2
.
3
5
5
5
.
8
6
3
8
.
3
3
1
.
1
1
9
7
.
8
3
1
0
0
.
0
3
1
.
2
7
1
.
4
1
8
4
.
0
1
6
.
3
4
1
.
0
3
9
4
.
0
8
1
0
0
.
0
3
1
.
3
6
1
.
3
9
8
5
.
2
1
5
.
8
7
1
.
0
2
9
4
.
8
8
1
0
0
.
0
3
1
.
3
1
1
.
9
1
8
1
.
9
4
8
.
3
9
1
.
5
1
9
5
.
0
9
R
2
3
-
2
7
1
0
.
0
2
2
.
6
4
1
.
7
8
7
9
.
9
2
9
.
8
6
0
.
7
1
9
4
.
9
4
1
0
.
0
1
2
.
8
5
2
.
0
1
8
0
.
0
9
9
.
3
5
0
.
7
7
9
5
.
0
9
2
0
.
0
5
2
.
2
8
2
.
0
5
8
0
.
1
0
9
.
6
2
0
.
8
9
9
4
.
9
8
2
0
.
0
2
3
.
0
7
2
.
2
6
7
8
.
7
3
9
.
5
1
0
.
8
7
9
4
.
4
5
3
0
.
0
2
2
.
7
8
2
.
2
7
7
9
.
2
4
9
.
5
5
0
.
8
5
9
4
.
7
1
3
0
.
0
5
2
.
9
9
2
.
2
4
7
9
.
1
4
1
0
.
2
4
0
.
7
5
9
5
.
4
0
4
0
.
0
1
0
.
4
2
2
.
5
3
5
3
.
4
5
3
9
.
1
5
0
.
5
5
9
6
.
1
1
4
0
.
0
0
0
.
3
2
2
.
5
4
5
3
.
8
6
3
9
.
4
3
0
.
6
6
9
6
.
8
0
5
0
.
0
0
0
.
3
5
2
.
3
9
5
3
.
4
4
3
9
.
1
3
0
.
6
1
9
5
.
9
3
5
0
.
0
0
0
.
3
6
2
.
6
4
5
4
.
0
3
3
9
.
2
7
0
.
6
5
9
6
.
9
5
6
0
.
0
0
0
.
3
7
2
.
2
7
5
4
.
4
6
3
8
.
7
4
0
.
5
1
9
6
.
3
6
6
0
.
0
0
0
.
3
6
2
.
5
2
5
5
.
4
0
3
8
.
7
6
0
.
8
9
9
7
.
9
4
7
0
.
0
1
2
.
4
7
1
.
7
1
8
0
.
2
5
8
.
8
2
0
.
9
6
9
4
.
2
2
7
0
.
0
3
2
.
6
0
2
.
1
6
7
9
.
7
5
9
.
3
4
0
.
8
1
9
4
.
6
9
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
1
0
 
I
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
1
1
2
0
3
u
g
o
T
o
o
T
1
0
2
M
n
O
T
o
t
a
l
1
0
5
-
3
1
0
.
0
2
0
.
6
5
0
.
6
8
8
4
.
8
2
5
.
4
4
3
.
0
3
9
4
.
6
4
2
0
.
0
1
0
.
6
2
0
.
6
5
8
2
.
2
3
5
.
2
1
2
.
6
5
9
1
.
3
7
3
0
.
0
3
0
.
6
3
0
.
6
6
8
4
.
1
5
4
.
7
5
2
.
6
7
9
2
.
8
9
4
0
.
0
1
0
.
6
9
0
.
7
0
8
4
.
4
6
4
.
7
7
2
.
9
5
9
3
.
5
8
5
0
.
0
5
0
.
2
2
0
.
3
8
8
4
.
1
6
0
.
2
3
2
.
4
5
8
7
.
4
9
6
0
.
0
4
0
.
5
9
0
.
4
1
8
3
.
2
1
4
.
8
7
2
.
6
9
9
1
.
8
1
7
0
.
0
3
0
.
6
9
0
.
6
9
8
3
.
4
0
4
.
7
9
2
.
5
6
9
2
.
1
6
8
0
.
0
2
0
.
6
1
0
.
6
7
8
5
.
5
6
4
.
6
5
2
.
9
5
9
4
.
4
6
9
0
.
0
2
0
.
6
6
0
.
7
7
8
2
.
3
5
4
.
8
3
2
.
9
2
9
1
.
5
5
1
0
0
.
0
2
0
.
6
7
0
.
7
1
8
5
.
3
5
4
.
9
2
2
.
0
0
9
3
.
6
7
1
0
0
.
0
3
0
.
6
5
0
.
6
3
8
4
.
5
5
5
.
2
6
2
.
3
6
9
3
.
4
8
1
1
0
.
0
0
0
.
0
6
1
.
5
3
4
3
.
9
1
4
6
.
0
1
6
.
5
8
9
8
.
0
9
I
U
i
-
B
S
1
0
.
0
0
0
.
7
7
0
.
8
9
8
3
.
3
5
6
.
3
4
1
.
9
1
9
3
.
2
6
1
0
.
0
0
0
.
6
9
0
.
8
2
8
3
.
8
7
5
.
9
8
2
.
0
2
9
3
.
3
8
2
p
1
0
.
0
0
0
.
0
6
1
.
7
3
4
9
.
9
7
4
1
.
3
8
3
.
3
1
9
6
.
4
5
2
p
1
0
.
0
1
0
.
7
7
0
.
6
9
8
5
.
1
4
6
.
1
1
1
.
7
3
9
4
.
4
5
3
0
.
0
0
0
.
0
0
1
.
7
3
5
0
.
5
9
4
2
.
3
3
3
.
0
6
9
7
.
7
1
4
0
.
0
0
0
.
6
0
0
.
4
7
8
4
.
3
6
6
.
1
2
1
.
5
6
9
3
.
1
1
5
0
.
0
0
0
.
6
6
0
.
7
9
8
4
.
5
2
5
.
7
6
1
.
9
8
9
3
.
7
1
6
0
.
0
0
0
.
0
0
1
.
5
6
5
0
.
8
7
4
1
.
3
0
3
.
2
2
9
6
.
9
5
7
0
.
0
0
0
.
0
3
1
.
7
0
4
9
.
0
7
4
1
.
6
2
4
.
1
0
9
6
.
5
2
8
0
.
0
0
0
.
7
8
0
.
7
8
8
3
.
8
3
6
.
1
5
1
.
8
7
9
3
.
4
1
9
0
.
0
0
0
.
7
7
0
.
6
2
8
4
.
1
3
6
.
2
8
1
.
4
8
9
3
.
2
8
1
0
0
.
0
0
0
.
0
0
1
.
6
0
5
0
.
8
3
4
2
.
1
3
3
.
2
9
9
7
.
8
5
1
1
0
.
0
0
0
.
0
2
1
.
6
3
5
0
.
2
1
4
2
.
5
5
3
.
2
3
9
7
.
6
4
1
2
0
.
0
0
0
.
0
0
0
.
1
2
8
6
.
6
6
0
.
0
5
0
.
4
7
8
7
.
3
0
1
3
0
.
0
0
0
.
0
6
1
.
7
1
4
9
.
6
4
4
1
.
5
9
3
.
1
6
9
6
.
1
6
1
4
0
.
0
0
0
.
8
2
0
.
7
7
8
3
.
0
7
5
.
8
6
1
.
9
0
9
2
.
4
2
1
0
5
-
5
8
1
0
.
0
0
0
.
1
0
2
.
6
0
4
3
.
6
2
4
8
.
5
8
3
.
4
1
9
8
.
3
1
2
0
.
0
0
0
.
0
9
3
.
0
1
4
5
.
3
1
4
3
.
0
9
4
.
2
9
9
5
.
7
9
3
p
1
0
.
0
3
1
.
2
7
1
.
1
2
7
9
.
5
4
8
.
3
9
2
.
0
8
9
2
.
4
3
4
p
1
0
.
0
0
0
.
1
2
1
7
9
4
6
.
5
3
4
4
.
0
0
2
.
3
3
9
4
.
7
7
3
p
1
0
.
0
4
1
.
0
8
1
.
2
6
7
9
.
5
5
7
.
9
8
2
.
1
5
9
2
.
0
6
3
p
1
0
.
0
3
1
.
2
3
0
.
9
8
7
9
.
5
6
8
.
2
9
1
.
7
2
9
1
.
8
1
3
p
1
0
.
0
6
1
.
0
3
1
.
2
0
8
1
.
7
0
7
.
6
4
2
.
0
9
9
3
.
7
2
5
0
.
0
5
1
.
3
3
1
.
3
0
7
7
.
7
4
8
.
2
1
2
.
8
1
9
1
.
4
4
6
0
.
0
0
0
.
1
2
2
.
9
3
4
3
.
7
2
4
3
.
4
0
4
.
1
4
9
4
.
3
1
7
0
.
0
0
0
.
0
8
2
.
4
8
4
7
.
3
0
4
2
.
5
8
3
.
7
5
9
6
.
1
9
8
0
.
0
0
0
.
0
9
1
.
9
4
4
6
.
2
4
4
2
.
7
9
3
.
1
3
9
4
.
1
9
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
1
1
 
M
A
G
N
E
T
I
T
E
A
N
D
I
I
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
3
1
2
0
3
u
g
o
T
o
o
T
1
0
2
u
n
o
T
o
t
a
l
A
5
-
5
8
,
C
o
n
t
i
n
u
e
d
8
p
2
0
.
0
0
0
.
1
0
2
.
6
1
4
4
.
7
7
4
3
.
7
4
3
.
4
5
9
4
.
6
7
9
p
2
0
.
0
3
0
.
8
9
0
.
9
3
7
8
.
1
7
8
.
0
6
1
.
8
4
8
9
.
9
2
9
p
2
0
.
0
3
1
.
0
5
1
.
1
2
7
9
.
5
3
8
.
1
5
2
.
0
8
9
1
.
9
6
9
p
2
0
.
0
7
1
.
1
9
1
.
2
4
7
9
.
5
3
7
.
7
9
2
.
1
9
9
2
.
0
1
9
p
2
0
.
0
6
1
.
2
2
1
.
3
3
7
9
.
2
5
8
.
2
6
2
.
2
8
9
2
.
4
0
8
p
2
0
.
0
0
0
.
1
3
2
.
7
8
4
5
.
0
9
4
4
.
1
3
3
.
9
4
9
6
.
0
7
1
0
p
3
0
.
0
0
0
.
1
1
1
.
7
1
4
7
.
8
0
4
2
.
3
7
2
.
5
1
9
4
.
5
0
1
1
p
3
0
.
0
5
1
.
1
6
1
.
1
0
7
7
.
1
3
8
.
5
3
2
.
1
6
9
0
.
1
3
1
1
p
3
0
.
0
6
0
.
8
5
0
.
7
6
8
0
.
4
1
8
.
0
4
1
.
6
1
9
1
.
7
3
1
1
p
3
0
.
0
6
0
.
9
7
1
.
0
3
7
8
.
9
4
7
.
8
4
2
.
1
5
9
0
.
9
9
1
1
p
3
0
.
0
6
0
.
8
4
0
.
9
0
7
9
.
8
2
7
.
8
5
2
.
2
5
9
1
.
7
2
1
2
0
.
0
3
0
.
9
4
1
.
1
8
8
1
.
1
9
7
.
1
8
2
.
1
2
9
2
.
6
4
1
2
0
.
0
5
0
.
9
4
1
.
0
5
8
0
.
2
1
7
.
9
7
2
.
2
7
9
2
.
4
9
1
2
0
.
0
7
1
.
0
1
1
.
2
4
7
8
.
9
8
7
.
9
2
2
.
2
0
9
1
.
4
2
1
0
5
-
7
1
1
0
.
0
1
0
.
1
8
3
.
4
6
4
5
.
6
2
4
3
.
9
6
2
.
9
1
9
6
.
1
4
2
0
.
0
3
0
.
1
7
3
.
4
1
4
4
.
2
0
4
4
.
8
3
3
.
0
0
9
5
.
6
4
3
0
.
0
1
0
.
1
5
2
.
3
9
4
4
.
4
9
4
3
.
9
6
2
.
3
7
9
3
.
3
7
4
0
.
1
0
1
.
6
3
1
.
4
8
7
9
.
1
8
7
.
9
8
1
.
8
3
9
2
.
2
0
4
0
.
0
6
1
.
5
1
1
.
8
3
7
8
.
3
4
8
.
1
2
1
.
7
3
9
1
.
5
9
4
0
.
0
9
1
.
3
0
1
.
7
9
7
8
.
5
7
7
.
9
5
1
.
9
4
9
1
.
6
4
5
0
.
0
7
2
.
0
4
2
.
3
1
7
5
.
5
9
1
1
.
3
8
1
.
1
2
9
2
.
5
1
5
0
.
0
6
2
.
2
9
2
.
5
2
7
5
.
5
7
9
.
9
0
1
.
2
4
9
1
.
5
8
6
0
.
0
4
0
.
2
5
3
.
1
2
4
7
.
5
6
4
1
.
9
7
1
.
5
8
9
4
.
5
2
6
0
.
0
2
0
.
2
4
2
.
9
0
4
7
.
1
7
4
1
.
2
7
1
.
6
2
9
3
.
2
2
7
0
.
0
1
0
.
1
2
3
.
1
4
4
5
.
6
3
4
2
.
0
0
3
.
1
0
9
4
.
0
0
8
0
.
0
8
1
.
8
7
2
.
2
4
7
3
.
6
6
1
0
.
2
1
1
.
7
3
8
9
.
7
9
8
0
.
0
9
1
.
6
6
2
.
2
1
7
5
.
4
3
1
2
.
1
0
1
.
7
6
9
3
.
2
5
9
0
.
0
9
1
.
4
4
1
.
4
3
7
8
.
3
4
8
.
2
3
1
.
9
8
9
1
.
5
1
9
0
.
0
7
1
.
8
8
1
.
8
1
7
9
.
2
0
8
.
5
7
2
.
0
8
9
3
.
6
1
9
0
.
0
6
1
.
8
5
1
.
8
5
7
9
.
4
3
6
.
8
9
2
.
0
9
9
2
.
1
7
1
0
0
.
0
1
0
.
0
9
2
.
0
7
4
8
.
3
3
4
1
.
2
8
2
.
1
5
9
3
.
9
3
1
1
0
.
0
1
0
.
1
4
3
.
4
7
4
5
.
1
7
4
4
.
2
3
3
.
0
1
9
6
.
0
3
1
2
0
.
0
8
1
.
6
4
1
.
7
2
7
4
.
1
0
1
1
.
0
9
2
.
0
9
9
0
.
7
2
1
2
0
.
0
7
1
.
4
1
1
.
7
7
7
6
.
1
9
1
0
.
2
7
2
.
0
4
9
1
.
7
5
1
2
0
.
0
7
1
.
5
8
1
.
6
4
7
5
.
1
7
1
2
.
0
9
1
.
7
7
9
2
.
3
2
1
3
0
.
0
9
1
.
3
9
1
.
6
8
7
5
.
1
2
1
0
.
4
1
1
.
9
8
9
0
.
6
7
1
3
0
.
0
8
1
.
3
5
1
.
5
3
7
3
.
5
0
1
4
.
1
8
1
.
7
6
9
2
.
4
0
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
1
2
 
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
#
C
r
2
0
3
3
1
2
0
3
a
g
o
T
o
o
T
1
0
2
u
n
o
T
o
t
a
l
1
u
5
-
7
2
1
0
.
0
6
1
.
9
4
2
.
2
5
7
2
.
6
1
1
9
.
5
8
1
.
2
8
9
7
.
7
2
1
0
.
0
5
1
.
4
8
2
.
4
6
8
2
.
9
0
4
.
9
5
1
.
6
4
9
3
.
4
8
1
0
.
0
6
2
.
2
1
2
.
2
9
7
4
.
3
9
1
3
.
3
7
1
.
5
6
9
3
.
8
8
2
0
.
0
5
2
.
4
3
2
.
5
5
7
6
.
0
1
1
0
.
2
4
1
.
6
0
9
2
.
8
8
2
0
.
0
8
2
.
2
7
2
.
5
8
7
6
.
3
2
1
1
.
7
8
1
.
5
7
9
4
.
6
0
2
0
.
0
4
1
.
9
4
2
.
4
1
7
5
.
6
6
1
1
.
7
0
1
.
5
6
9
3
.
3
1
3
0
.
0
3
2
.
2
9
2
.
6
1
7
6
.
7
9
1
1
.
0
6
1
.
3
8
9
4
.
1
6
3
0
.
0
6
2
.
1
3
2
.
6
9
7
7
.
8
5
1
1
.
8
1
1
.
2
6
9
5
.
8
0
4
0
.
0
3
0
.
2
9
0
.
0
7
8
6
.
0
6
0
.
0
0
0
.
4
2
8
6
.
8
7
4
0
.
0
3
0
.
0
9
0
.
2
2
8
7
.
3
1
0
.
0
0
0
.
1
0
8
7
.
7
5
5
0
.
0
0
0
.
2
4
3
.
0
7
4
9
.
0
2
4
1
.
8
8
1
.
3
6
9
5
.
5
7
5
0
.
0
0
0
.
2
7
3
.
1
0
4
8
.
4
2
4
2
.
3
0
1
.
3
1
9
5
.
4
0
6
0
.
0
1
0
.
3
4
0
.
1
6
8
0
.
0
5
0
.
5
9
0
.
6
9
8
1
.
8
4
7
0
.
0
0
0
.
2
3
3
.
5
9
4
6
.
8
7
4
2
.
3
8
1
.
4
8
9
4
.
5
5
7
0
.
0
0
0
.
2
5
3
.
5
3
4
7
.
6
9
4
2
.
7
1
1
.
3
7
9
5
.
5
5
8
0
.
0
3
2
.
1
4
2
.
3
4
7
5
0
4
1
1
.
5
1
1
.
3
6
9
2
.
4
2
1
0
5
-
7
5
1
0
.
0
3
4
.
4
5
3
.
5
1
7
7
.
0
4
7
.
8
6
0
.
9
2
9
3
.
8
1
1
0
.
0
2
3
.
2
6
3
.
2
2
7
8
.
3
7
7
.
0
1
0
.
8
9
9
2
.
7
7
1
0
.
0
0
3
.
7
2
3
.
3
1
7
6
.
1
1
7
.
5
9
0
.
9
3
9
1
.
6
6
2
0
.
0
3
3
.
3
2
3
.
0
0
7
7
.
5
6
7
.
4
1
0
.
7
8
9
2
.
1
0
2
0
.
0
6
3
.
2
2
3
.
1
4
7
7
.
8
6
7
.
6
2
0
.
7
6
9
2
.
6
6
2
0
.
0
4
3
.
6
2
3
.
3
2
7
6
.
0
2
8
.
1
8
0
.
7
4
9
1
.
9
2
3
0
.
0
4
4
.
0
1
3
.
1
7
7
7
.
8
4
7
.
5
5
0
.
6
5
9
3
.
2
6
3
0
.
0
6
2
.
1
5
2
.
3
7
7
9
.
4
9
6
.
7
0
0
.
8
0
9
1
.
5
7
4
0
.
0
6
2
.
4
8
2
.
8
6
8
1
.
5
7
5
.
3
1
0
.
7
9
9
3
.
0
7
4
0
.
0
4
4
.
4
9
3
.
6
0
7
4
.
8
1
1
0
.
7
7
0
.
7
4
9
4
.
4
5
4
0
.
0
5
3
.
7
6
3
.
6
2
8
6
.
2
2
1
.
2
7
0
.
8
5
9
5
.
7
7
4
0
.
0
6
0
.
7
7
2
.
1
0
8
6
.
3
6
0
.
0
8
0
.
5
5
8
9
.
9
2
4
0
.
0
3
1
.
5
8
2
.
2
2
8
1
.
6
3
3
.
0
5
1
.
0
2
8
9
.
5
3
5
0
.
0
3
0
.
1
0
0
.
0
9
8
8
.
4
8
0
.
0
2
0
.
2
4
8
8
.
9
6
5
0
.
0
2
0
.
0
0
0
.
0
8
9
0
.
5
3
0
.
6
3
0
.
2
0
9
1
.
4
6
6
0
.
0
1
0
.
2
7
0
.
0
6
8
7
.
3
5
0
.
0
5
0
.
2
6
8
8
.
0
0
6
0
.
0
3
0
.
2
2
0
.
0
0
8
8
.
2
9
0
.
0
6
0
.
0
0
8
8
.
6
0
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
1
3
 
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
I
T
a
o
T
1
0
2
1
1
2
0
3
M
n
O
u
g
o
C
a
O
c
:
2
0
3
8
1
0
2
T
o
t
a
l
1
4
-
7
0
1
4
8
.
0
6
8
4
1
.
1
5
9
0
.
0
9
1
3
.
3
8
0
2
.
1
2
2
0
.
0
4
1
0
.
0
0
0
0
.
0
0
0
9
4
.
8
6
1
1
4
9
.
8
1
4
3
5
.
3
4
6
0
.
0
6
6
5
.
9
3
8
3
.
4
1
4
0
.
0
1
1
0
.
0
2
2
0
.
0
0
9
9
4
.
6
2
0
1
4
7
.
8
9
2
4
2
.
2
4
2
0
.
0
7
9
2
.
6
3
4
1
.
7
9
2
0
.
0
6
4
0
.
0
1
5
0
.
0
1
5
9
4
.
7
3
4
2
4
9
.
1
1
5
4
1
.
2
1
9
0
.
0
6
4
2
.
3
1
4
1
.
7
2
3
0
.
0
0
0
0
.
0
0
0
0
.
0
0
9
9
4
.
4
4
4
2
4
7
.
0
4
4
4
4
.
8
1
2
0
0
6
4
1
.
4
8
6
1
.
1
0
1
0
.
0
2
0
0
.
0
0
0
0
.
0
0
0
9
4
.
5
2
7
3
4
7
.
0
7
0
4
1
.
9
9
7
0
.
0
6
6
3
.
2
7
5
1
.
8
0
7
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
4
.
2
1
4
3
4
7
.
9
9
9
4
2
.
4
0
7
0
.
0
8
5
2
.
8
8
1
1
.
5
5
2
0
.
0
0
0
0
.
0
0
1
0
.
0
0
9
9
4
.
9
3
3
4
4
7
.
6
1
4
3
8
.
2
8
2
0
.
0
7
0
5
.
7
1
5
3
.
5
2
7
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
5
.
2
0
7
4
5
5
.
1
8
9
3
5
.
3
4
3
0
.
0
9
4
1
.
9
8
8
1
.
0
3
6
0
.
0
0
0
0
.
0
0
9
0
.
0
0
2
9
3
.
6
6
2
5
4
2
.
3
5
7
4
2
.
8
0
4
0
.
0
5
7
6
.
7
4
7
3
.
5
5
3
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
5
.
5
1
8
5
4
3
.
7
9
7
4
3
.
7
1
3
0
.
0
7
2
4
.
3
7
7
2
.
6
6
9
0
.
0
0
6
0
.
0
0
0
‘
0
.
0
0
2
9
4
.
6
3
6
6
5
0
.
6
6
0
3
4
.
9
9
6
0
.
0
5
7
5
.
9
2
5
3
.
5
2
0
0
.
0
0
0
0
.
0
0
0
0
.
0
0
6
9
5
.
1
6
5
7
p
1
3
9
.
7
1
2
4
3
.
5
9
3
0
.
0
3
0
7
.
8
3
5
3
.
5
2
3
0
.
0
1
5
0
.
0
0
0
0
.
0
0
0
9
4
.
7
1
0
7
p
1
4
6
.
9
6
9
3
9
.
2
7
4
0
.
0
8
9
5
.
4
7
9
2
.
9
3
1
0
.
0
0
0
0
.
0
2
6
0
.
0
0
2
9
4
.
7
7
1
8
p
1
8
4
.
1
8
9
5
.
0
5
1
0
.
7
7
3
1
.
6
4
1
0
.
7
4
6
0
.
0
1
8
0
.
0
2
0
0
.
0
2
8
9
2
.
4
6
6
8
p
1
8
2
.
7
6
7
6
.
4
4
9
0
.
7
6
1
1
.
0
7
3
0
.
4
1
6
0
.
0
5
9
0
.
0
0
0
0
.
0
3
9
9
1
.
5
6
4
9
p
2
3
9
.
1
9
4
4
8
.
6
9
6
0
.
0
6
4
5
.
3
2
5
3
.
2
9
3
0
.
0
1
7
0
.
0
0
3
0
.
0
0
0
9
6
.
5
9
1
9
p
2
3
6
.
0
7
7
5
1
.
9
5
2
0
.
0
7
7
5
.
4
1
4
2
.
7
5
2
0
.
0
1
0
0
.
0
0
0
0
.
0
1
1
9
6
.
2
9
3
1
0
p
2
8
5
.
7
1
8
1
.
7
1
8
1
.
2
2
1
1
.
9
6
1
1
.
0
9
8
0
.
0
2
1
0
.
0
2
2
0
.
0
7
1
9
1
.
8
2
9
1
0
p
2
8
4
.
5
8
0
0
.
6
4
4
1
.
2
6
2
4
.
7
0
6
2
.
0
9
9
0
.
0
2
0
0
.
0
2
6
0
.
0
2
1
9
3
.
3
5
9
1
1
p
3
4
6
.
4
1
2
4
1
.
8
5
3
0
.
0
7
0
4
.
3
4
4
2
.
4
7
5
0
.
0
2
1
0
.
0
0
0
0
.
0
0
6
9
5
.
1
8
2
1
1
p
3
4
9
.
3
7
5
4
0
.
3
3
9
0
.
0
8
3
2
.
8
7
0
1
.
8
2
1
0
.
0
2
0
0
.
0
0
6
0
.
0
1
5
9
4
.
5
2
8
1
2
p
3
8
2
.
5
4
8
6
.
7
6
1
0
.
6
7
1
1
.
5
1
3
0
.
6
6
8
0
.
0
1
1
0
.
0
0
0
0
.
0
0
9
9
2
.
1
8
1
1
2
p
3
8
1
.
4
1
0
7
.
0
0
3
0
.
8
7
5
1
.
7
4
7
0
.
6
5
3
0
.
0
0
0
0
.
0
4
2
0
.
0
4
9
9
1
.
7
7
9
1
3
8
2
.
2
1
1
7
.
6
7
5
0
.
6
7
5
1
.
1
6
9
0
.
5
0
7
0
.
0
1
4
0
.
0
2
9
0
.
0
4
9
9
2
.
3
2
9
1
3
8
0
.
5
2
1
6
.
8
3
1
1
.
5
6
4
2
.
2
9
2
1
.
0
0
5
0
.
0
8
4
0
.
0
3
7
0
.
0
4
5
9
2
.
3
7
8
3
1
4
 
 
 
 
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
I
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
n
p
l
a
G
r
a
i
n
0
T
o
o
T
1
0
2
1
1
2
0
3
M
n
O
M
g
O
C
a
O
0
:
2
0
3
8
1
0
2
T
o
t
a
l
a
s
-
o
1
4
9
.
3
3
3
4
2
.
8
1
4
0
.
1
0
2
3
.
8
7
4
1
.
7
2
9
0
.
0
2
2
0
.
0
2
3
0
.
0
1
7
9
7
.
9
1
5
1
4
9
.
5
4
5
4
2
.
8
5
9
0
.
0
8
5
3
.
9
5
4
1
.
7
7
9
0
.
0
0
0
0
.
0
0
1
0
.
0
0
0
9
8
.
2
2
3
1
4
8
.
6
6
0
4
2
.
5
5
1
0
.
1
0
8
4
.
0
9
1
1
.
7
2
3
0
.
0
3
4
0
.
0
0
0
0
.
0
4
5
9
7
.
2
1
0
2
p
1
8
3
.
3
9
5
6
.
9
1
2
1
.
0
9
4
1
.
4
2
4
0
.
8
1
2
0
.
0
8
5
0
.
0
0
0
0
.
0
5
3
9
3
.
7
7
7
2
p
1
8
3
.
1
3
2
6
.
9
7
6
1
.
0
4
9
1
.
8
3
9
0
.
9
0
4
0
.
0
7
4
0
.
0
2
3
0
.
0
5
1
9
4
.
0
4
8
3
p
1
4
9
.
2
7
7
4
2
.
5
1
7
0
.
0
9
6
3
.
2
9
5
1
.
9
5
8
0
.
1
1
6
0
.
0
0
6
0
.
0
1
9
9
7
.
2
8
5
3
p
1
5
0
.
1
7
7
4
2
.
8
1
9
0
.
1
1
1
3
.
3
3
3
1
.
8
2
7
0
.
0
7
7
0
.
0
0
0
0
.
0
0
0
9
8
.
3
4
4
3
p
1
4
9
.
3
7
0
4
2
.
7
0
6
0
.
1
0
8
3
.
2
5
9
1
.
7
9
1
0
.
0
0
0
0
.
0
1
5
0
.
0
1
5
9
7
.
2
6
3
4
p
2
4
9
.
7
5
5
4
3
.
0
6
1
0
.
0
8
1
3
.
0
8
7
1
.
8
7
4
0
.
1
9
4
0
.
0
0
0
0
.
0
0
0
9
8
.
0
5
2
4
p
2
4
9
.
7
0
3
4
2
.
6
0
4
0
.
1
1
7
3
.
0
9
6
2
.
1
2
9
0
.
0
0
0
0
.
0
0
0
0
.
0
1
7
9
7
.
6
6
7
5
p
2
8
2
.
4
8
0
6
.
7
9
2
1
.
0
4
7
1
.
8
4
3
1
.
0
5
8
0
.
0
0
0
0
.
0
1
3
0
.
0
2
1
9
3
.
2
5
4
5
p
2
8
3
.
1
3
7
6
.
6
6
7
1
.
0
8
3
1
.
8
7
2
1
.
0
1
3
0
.
0
2
4
0
.
0
0
4
0
.
0
3
6
9
3
.
8
3
7
6
p
3
4
9
.
7
0
8
4
2
.
5
1
9
0
.
0
8
5
3
.
0
6
9
1
.
9
5
3
0
.
5
1
5
0
.
0
0
9
0
.
0
2
1
9
7
.
8
8
0
6
p
3
4
9
.
6
7
1
4
2
.
0
0
0
0
.
1
0
8
3
.
0
3
2
1
.
5
8
7
0
.
0
5
7
0
.
0
0
1
0
.
0
9
2
9
6
.
5
4
8
7
p
3
8
1
.
7
7
4
6
.
5
9
1
1
.
1
6
8
1
.
4
2
4
0
.
9
5
5
0
.
0
0
8
0
.
0
4
4
0
.
0
3
0
9
1
.
9
9
3
7
p
3
8
3
.
9
7
1
6
.
7
7
9
1
.
1
1
3
1
.
3
9
2
0
.
9
4
0
0
.
0
4
2
0
.
0
2
0
0
.
0
3
4
9
4
.
2
9
2
7
p
3
8
3
.
3
5
7
6
.
6
4
9
1
.
0
0
7
2
.
0
0
3
1
.
0
4
8
0
.
0
7
1
0
.
0
0
0
0
.
0
0
9
9
4
.
1
4
4
8
p
4
5
0
.
5
0
8
4
2
.
5
7
7
0
.
1
0
4
3
.
3
0
2
2
.
0
0
3
0
.
1
4
6
0
.
0
1
0
0
.
0
1
5
9
8
.
6
6
5
8
p
4
4
9
.
3
6
5
4
2
.
8
0
9
0
.
1
0
6
3
.
0
8
7
1
.
8
3
4
0
.
0
4
2
0
.
0
0
6
0
.
0
0
0
9
7
.
2
4
9
9
p
4
8
3
.
2
7
0
6
.
9
9
6
1
.
0
4
3
1
.
8
0
4
0
.
8
1
2
0
.
0
2
1
0
.
0
0
7
0
.
0
4
7
9
4
.
0
0
0
9
p
4
8
3
.
7
7
6
6
.
8
5
9
0
.
9
6
9
2
.
2
6
7
0
.
6
7
2
0
.
0
2
4
0
.
0
3
4
0
.
0
3
4
9
4
.
6
3
4
3
5
-
2
9
1
8
5
.
2
0
6
0
.
0
0
0
0
.
0
4
5
2
.
3
4
6
0
.
1
9
4
0
.
0
4
1
0
.
0
1
9
3
.
6
7
3
9
1
.
5
2
4
1
8
7
.
6
3
9
0
.
0
5
8
0
.
1
2
1
1
.
8
4
0
0
.
1
6
2
0
.
0
2
2
0
.
0
0
0
2
.
7
2
3
9
2
.
5
6
6
1
8
2
.
6
4
9
5
.
2
5
3
1
.
8
7
8
3
.
3
6
1
0
.
4
7
4
0
.
0
0
0
0
.
0
1
8
0
.
0
0
0
9
3
.
6
3
2
1
8
4
.
0
3
4
5
.
2
6
8
1
.
8
0
8
2
.
7
3
5
0
.
6
3
0
0
.
0
0
7
0
.
0
0
7
0
.
0
1
7
9
4
.
5
0
6
1
8
3
.
0
8
1
5
.
3
4
9
1
.
7
7
8
2
.
5
3
2
0
.
5
0
1
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
3
.
2
4
1
2
8
3
.
2
2
1
5
.
0
3
9
1
.
7
2
3
2
.
1
1
1
0
.
4
0
3
0
.
6
7
3
0
.
0
2
8
0
.
0
2
4
9
3
.
2
2
2
2
8
3
.
0
4
6
5
.
1
6
1
1
.
9
0
8
2
.
4
7
7
0
.
5
9
4
0
.
0
0
0
0
.
0
1
6
0
.
0
0
9
9
3
.
2
1
0
3
8
3
.
9
2
7
5
.
2
0
1
1
.
9
5
9
2
.
7
1
2
0
.
6
8
1
0
.
0
1
4
0
.
0
0
0
0
.
0
0
2
9
4
.
4
9
7
3
8
3
.
5
3
8
5
.
2
3
3
1
.
8
8
6
2
.
8
2
1
0
.
6
2
5
0
.
0
0
6
0
.
0
0
0
0
.
0
0
9
9
4
.
1
1
7
4
4
5
.
4
1
9
4
5
.
0
4
9
0
.
1
5
1
5
.
9
2
3
1
.
4
1
3
0
.
0
0
0
0
.
0
1
5
0
.
0
3
4
9
8
.
0
0
4
5
4
5
.
4
0
8
4
5
.
2
9
4
0
.
1
2
3
5
.
6
7
1
1
.
4
0
4
0
.
0
0
0
0
.
0
1
2
0
.
0
3
2
9
7
.
9
4
4
6
4
4
.
9
8
9
4
6
.
0
6
8
0
.
1
0
0
6
.
1
2
9
1
.
3
7
3
0
.
0
0
0
0
.
0
0
0
0
.
0
3
0
9
8
.
6
9
0
7
8
3
.
8
4
1
5
.
0
6
1
1
.
9
8
6
2
.
8
6
1
0
.
6
8
5
0
.
0
0
0
0
.
0
3
4
0
.
0
5
6
9
4
.
5
2
3
7
8
3
.
7
9
4
5
.
1
5
4
1
.
8
8
0
2
.
9
7
1
0
.
6
1
0
0
.
0
0
0
0
.
0
2
2
0
.
0
5
8
9
4
.
4
8
9
3
1
5
 
 
 
 
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
I
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
m
p
l
e
G
r
a
i
n
8
T
o
o
T
1
0
2
A
1
2
0
3
M
n
O
I
9
0
C
a
O
0
:
2
0
3
8
1
0
2
T
o
t
a
l
1
5
-
3
0
1
.
5
0
.
8
2
5
4
1
.
9
5
3
0
.
2
8
5
1
.
6
5
0
3
.
5
8
1
0
.
0
3
4
0
.
0
2
2
0
.
0
0
0
9
8
.
3
5
1
1
5
1
.
0
7
1
4
1
.
7
5
7
0
.
3
0
2
1
.
6
6
3
3
.
4
8
0
0
.
0
3
2
0
.
0
1
3
0
.
0
2
4
9
8
.
3
4
2
2
p
1
7
8
.
6
6
1
9
.
3
8
0
2
.
2
5
8
1
.
3
8
7
2
.
2
5
5
0
.
0
4
9
0
.
0
4
1
0
.
0
4
3
9
4
.
0
7
2
2
p
1
7
8
.
4
8
0
9
.
7
2
8
2
.
0
5
4
1
.
6
1
7
2
.
2
6
7
0
.
1
2
2
0
.
0
1
5
0
.
0
4
1
9
4
.
3
2
3
3
p
1
5
0
.
7
5
7
4
0
.
9
6
9
0
.
2
7
4
1
.
4
3
2
3
.
4
9
4
0
.
1
1
5
0
.
0
1
3
0
.
0
0
0
9
7
.
0
5
3
3
p
1
5
0
.
1
7
1
4
0
.
8
9
2
0
.
2
7
8
1
.
5
4
0
3
.
7
0
6
0
.
1
4
7
0
.
0
5
1
0
.
0
0
2
9
6
.
7
8
8
4
p
2
7
8
.
0
4
0
1
0
.
3
3
0
1
.
9
6
5
1
.
2
8
1
1
.
4
9
1
0
.
0
2
9
0
.
0
4
7
0
.
0
4
7
9
3
.
2
3
0
4
p
2
7
9
.
4
8
4
8
.
7
4
1
2
.
0
3
3
1
.
4
5
1
2
.
1
0
1
0
.
0
3
4
0
.
0
6
1
0
.
0
6
0
9
3
.
9
6
5
5
p
2
5
0
.
5
0
5
4
1
.
1
7
1
0
.
2
5
1
1
.
5
3
8
3
.
0
2
4
0
.
0
1
1
0
.
0
0
1
0
.
0
0
0
9
6
.
5
0
2
5
p
2
5
0
.
1
7
1
4
1
.
1
1
8
0
.
2
4
9
1
.
5
0
7
3
.
3
4
8
0
.
0
0
0
0
.
0
4
2
0
.
0
2
6
9
6
.
4
6
1
6
p
3
7
7
.
6
8
9
9
.
7
2
0
2
.
0
2
2
1
.
6
1
1
2
.
3
9
4
0
.
0
2
5
0
.
0
5
0
0
.
0
6
0
9
3
.
5
7
1
6
p
3
7
8
.
6
0
6
9
.
9
7
0
1
.
9
8
4
1
.
5
1
2
2
.
3
6
9
0
.
0
1
7
0
.
0
3
8
0
.
0
4
5
9
4
.
5
4
2
7
p
3
5
1
.
0
2
6
4
0
.
4
2
7
0
.
3
1
9
1
.
4
2
9
3
.
7
1
4
0
.
0
1
1
0
.
0
4
7
0
.
0
1
5
9
6
.
9
8
8
7
p
3
5
1
.
0
5
5
4
0
.
6
9
1
0
.
3
1
6
1
.
4
6
6
3
.
6
4
9
0
.
0
5
9
0
.
0
1
3
0
.
0
0
6
9
7
.
2
5
5
8
7
7
.
9
4
9
9
.
9
3
8
2
.
1
3
9
1
.
6
4
1
2
.
7
8
7
0
.
0
2
4
0
.
0
7
7
0
.
0
6
8
9
4
.
6
2
4
8
7
8
.
6
6
3
1
0
.
0
1
2
2
.
0
4
6
1
.
3
8
3
2
.
2
6
8
0
.
0
0
7
0
.
0
3
7
0
.
0
4
7
9
4
.
4
6
3
1
5
-
3
5
l
p
l
4
9
.
9
1
9
4
2
.
5
4
6
0
.
0
8
7
3
.
1
7
0
1
.
7
2
6
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
7
.
4
4
8
l
p
l
4
9
.
4
8
2
4
3
.
0
4
1
0
.
0
8
5
3
.
0
7
7
1
.
7
4
3
0
.
0
0
0
0
.
0
0
4
0
.
0
0
0
9
7
.
4
3
2
2
p
1
8
3
.
5
0
8
5
.
9
5
3
0
.
9
0
5
1
.
8
2
6
0
.
7
7
4
0
.
0
0
0
0
.
0
4
8
0
.
0
3
2
9
3
.
0
4
7
2
p
1
8
3
.
7
6
8
5
.
9
2
8
0
.
9
1
3
1
.
6
2
6
0
.
8
0
4
0
.
0
0
0
0
.
0
1
3
0
.
0
4
7
9
3
.
0
9
9
3
p
2
8
4
.
7
4
0
5
.
8
4
0
0
.
9
0
3
1
.
7
2
4
0
.
7
2
3
0
.
0
0
0
0
.
0
0
0
0
.
0
2
6
9
3
.
9
5
6
3
p
2
8
4
.
7
3
8
5
.
7
4
1
0
.
8
8
6
1
.
7
5
7
0
.
8
2
2
0
.
0
0
3
0
.
0
2
0
0
.
0
2
6
9
3
.
9
9
4
4
p
2
4
9
.
2
9
5
4
2
.
5
5
7
0
.
0
8
5
3
.
2
8
5
1
.
7
6
4
0
.
0
0
0
0
.
0
0
9
0
.
0
0
0
9
6
.
9
9
5
4
p
2
4
9
.
5
3
1
4
2
.
6
8
4
0
.
0
9
3
3
.
3
6
4
1
.
8
9
8
0
.
0
0
0
0
.
0
0
0
0
.
0
1
1
9
7
.
5
8
0
5
p
3
4
9
.
5
1
4
4
2
.
9
4
4
0
.
0
8
3
3
.
2
6
7
1
.
7
4
6
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
7
.
5
5
4
5
p
3
4
9
.
8
7
8
4
2
.
9
0
8
0
.
1
0
4
3
.
1
2
7
1
.
7
4
3
0
.
0
0
0
0
.
0
2
3
0
.
0
0
2
9
7
.
7
8
5
5
p
3
4
9
.
4
1
8
4
2
.
7
6
2
0
.
1
0
0
3
.
2
8
0
1
.
7
1
3
0
.
0
0
0
0
.
0
0
0
0
.
0
0
2
9
7
.
2
7
5
6
p
3
8
4
.
2
7
2
6
.
2
1
7
0
.
9
0
5
1
.
4
2
9
0
.
6
5
0
0
.
0
2
0
0
.
0
3
8
0
.
2
4
4
9
3
.
7
7
5
6
p
3
8
4
.
3
0
7
5
.
9
3
5
0
.
9
0
5
1
.
4
9
1
0
.
6
1
2
0
.
0
0
3
0
.
0
3
1
0
.
0
3
6
9
3
.
3
2
0
7
p
4
8
4
.
3
7
5
5
.
9
2
2
0
.
9
0
5
1
.
4
6
3
0
.
7
9
4
0
.
0
0
0
0
.
0
3
7
0
.
0
1
3
9
3
.
5
0
8
7
p
4
8
3
.
2
8
9
5
.
9
5
0
0
.
8
9
2
1
.
7
3
4
0
.
5
3
6
0
.
0
2
4
0
.
0
1
6
0
.
0
0
2
9
2
.
4
4
3
8
p
4
4
9
.
0
6
8
4
2
.
9
2
4
0
.
0
7
7
3
.
4
0
1
1
.
6
6
1
0
.
1
0
5
0
.
0
0
0
0
.
0
0
0
9
7
.
2
3
7
8
p
4
4
9
.
4
2
8
4
2
.
6
5
9
0
.
0
8
5
3
.
2
2
2
1
.
7
3
3
0
.
0
0
7
0
.
0
0
0
0
.
0
0
0
9
7
.
1
3
3
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
3
1
6
 
I
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
 
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
 
S
a
m
p
l
e
G
r
a
i
n
 
9
T
o
o
T
1
0
2
A
1
2
0
3
M
n
O
M
9
0
C
a
O
c
:
2
0
3
8
1
0
2
T
o
t
a
l
1
5
-
3
7
1
p
1
4
5
.
5
9
0
4
5
.
5
1
8
0
.
1
9
1
5
.
9
7
2
1
.
3
3
3
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
8
.
6
0
4
2
p
1
8
4
.
1
3
6
5
.
0
8
6
1
.
8
1
8
2
.
8
5
0
0
.
6
3
5
0
.
0
1
3
0
.
0
1
9
0
.
0
1
7
9
4
.
5
7
3
2
p
1
8
3
.
2
8
3
5
.
0
2
4
1
.
9
3
1
3
.
0
3
7
0
.
6
3
5
0
.
0
0
4
0
.
0
3
1
0
.
0
2
4
9
3
.
9
6
8
3
8
3
.
7
7
8
5
.
0
8
8
1
.
7
9
3
2
.
9
3
9
0
.
6
3
5
0
.
0
0
1
0
.
0
0
0
0
.
0
1
7
9
4
.
2
5
1
3
8
3
.
8
1
4
5
.
0
2
9
1
.
8
8
0
2
.
9
2
5
0
.
6
0
7
0
.
0
5
9
0
.
0
0
0
0
.
0
1
1
9
4
.
3
2
4
4
p
2
4
4
.
6
3
8
4
4
.
3
3
4
0
.
1
3
4
7
.
8
2
6
1
.
0
3
0
0
.
0
2
9
0
.
0
0
0
0
.
0
0
2
9
7
.
9
9
3
4
p
2
4
5
.
2
2
6
4
3
.
7
7
3
0
.
1
7
6
7
.
1
8
2
1
.
0
6
6
0
.
0
3
1
0
.
0
0
0
0
.
0
1
7
9
7
.
4
7
1
5
p
2
8
8
.
3
1
7
0
.
1
3
2
0
.
0
9
3
1
.
0
3
6
0
.
3
9
3
0
.
0
4
5
0
.
0
4
7
2
.
7
2
5
9
2
.
7
8
7
5
p
2
8
9
.
3
0
1
0
.
2
6
7
0
.
1
3
6
0
.
6
8
7
0
.
2
9
0
0
.
0
3
6
0
.
0
1
0
2
.
3
7
5
9
3
.
1
0
2
A
5
—
6
3
1
7
7
.
6
3
3
9
.
4
6
1
3
.
0
1
6
1
.
0
5
6
3
.
1
8
7
0
.
0
1
7
0
.
0
3
2
0
.
0
7
7
9
4
.
4
7
8
2
7
8
.
3
4
1
9
.
6
5
0
3
.
0
5
7
1
.
0
2
3
3
.
3
4
9
0
.
0
0
0
0
.
0
5
3
0
.
0
7
5
9
5
.
5
4
8
3
7
8
.
3
4
1
9
.
7
2
8
3
.
0
5
1
1
.
0
4
7
3
.
2
1
8
0
.
0
0
0
0
.
0
4
7
0
.
0
8
3
9
5
.
5
1
7
4
7
7
.
5
1
6
9
.
5
4
3
3
.
0
3
4
1
.
0
2
1
3
.
2
9
8
0
.
0
1
1
0
.
0
1
8
0
.
0
8
8
9
4
.
5
2
9
A
5
-
6
8
1
p
1
8
3
.
9
4
9
4
.
9
9
9
1
.
6
3
8
2
.
0
8
3
0
.
8
6
4
0
.
0
0
0
0
.
0
1
8
0
.
0
1
1
9
3
.
5
6
1
1
p
1
8
2
.
4
7
5
7
.
2
1
8
2
.
4
7
0
1
.
5
4
8
0
.
8
0
4
0
.
0
0
0
0
.
0
0
0
0
.
0
0
6
9
4
.
5
2
1
1
p
1
8
7
.
4
3
8
2
.
7
8
1
1
.
2
5
8
1
.
4
2
2
0
.
8
1
9
0
.
0
7
8
0
.
0
0
7
0
.
0
2
4
9
3
.
8
2
7
2
p
1
4
3
.
1
2
5
4
5
.
8
6
3
0
.
1
9
7
4
.
4
7
4
1
.
7
6
4
0
.
0
2
8
0
.
0
0
0
0
.
0
1
9
9
5
.
4
7
1
2
p
1
4
3
.
0
6
2
4
6
.
0
6
3
0
.
2
2
3
4
.
2
6
0
1
.
8
5
7
0
.
0
5
0
0
.
0
0
0
0
.
1
3
5
9
5
.
6
5
1
3
p
2
8
1
.
3
2
9
6
.
9
6
1
2
.
2
1
4
2
.
5
4
2
0
.
8
6
7
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
3
.
9
1
4
3
p
2
8
2
.
8
1
8
6
.
6
1
9
2
.
4
1
5
2
.
2
4
3
0
.
8
2
1
0
.
0
0
0
0
.
0
0
0
0
.
0
2
4
9
4
.
9
3
9
4
p
2
4
0
.
3
7
4
4
5
.
0
7
8
0
.
2
6
8
7
.
2
5
9
2
.
8
6
0
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
5
.
8
3
9
4
p
2
4
0
.
6
5
3
4
5
.
4
4
8
0
.
6
5
6
5
.
6
6
6
3
.
0
5
4
0
.
0
1
5
0
.
0
0
0
0
.
3
0
4
9
5
.
7
9
6
5
p
3
7
9
.
3
0
5
7
.
9
4
5
3
.
6
2
6
1
.
9
9
8
0
.
9
1
5
0
.
0
0
0
0
.
0
0
0
0
.
0
1
9
9
3
.
8
0
8
6
p
3
4
5
.
4
0
5
4
4
.
2
9
5
0
.
2
2
7
4
.
5
0
0
2
.
7
6
6
0
.
0
7
1
0
.
0
0
0
0
.
0
0
0
9
7
.
2
6
4
6
p
3
4
5
.
9
2
1
4
3
.
7
3
5
0
.
3
1
4
4
.
1
6
0
2
.
4
6
6
0
.
0
1
0
0
.
0
2
0
0
.
0
0
0
9
6
.
6
2
6
7
p
4
8
1
.
6
0
5
6
.
3
6
0
2
.
4
6
2
2
.
0
3
5
0
.
7
5
1
0
.
0
1
1
0
.
0
0
0
0
.
0
2
6
9
3
.
2
5
0
7
p
4
8
3
.
0
1
8
5
.
7
6
8
2
.
4
4
1
2
.
0
1
8
0
.
6
3
5
0
.
0
3
8
0
.
0
0
0
0
.
0
3
2
9
3
.
9
5
0
8
p
4
4
7
.
8
0
6
4
4
.
2
9
0
0
.
3
2
5
2
.
0
6
5
1
.
0
1
8
0
.
0
1
7
0
.
0
0
0
0
.
0
0
0
9
5
.
5
2
0
8
p
4
5
0
.
6
4
4
4
2
.
2
0
4
0
.
2
9
1
1
.
6
2
3
0
.
8
6
4
0
.
0
0
0
0
.
0
0
0
0
.
0
0
0
9
5
.
6
2
5
8
p
4
4
8
.
0
2
8
4
4
.
4
7
0
0
.
2
9
7
2
.
9
5
7
1
.
4
3
6
0
.
0
0
1
0
.
0
0
0
0
.
0
0
0
9
7
.
1
8
9
9
p
4
8
2
.
0
3
8
7
.
2
2
6
2
.
9
9
1
1
.
7
9
9
0
.
7
3
8
0
.
0
1
4
0
.
0
0
0
0
.
0
3
4
9
4
.
8
3
9
3
1
7
 
 
 
 
A
p
p
e
n
d
i
x
4
.
C
o
n
t
i
n
u
e
d
.
Z
M
A
G
N
E
T
I
T
E
A
N
D
I
L
M
E
N
I
T
E
A
N
A
L
Y
S
E
S
-
-
U
n
i
v
e
r
s
i
t
y
o
f
M
i
c
h
i
g
a
n
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
S
a
m
p
l
e
G
r
a
i
n
0
T
o
o
T
1
0
2
1
1
2
0
3
M
n
O
M
9
0
C
a
O
c
:
2
0
3
8
1
0
2
T
o
t
a
l
A
5
-
6
9
1
.
7
9
.
0
7
0
5
.
5
5
5
4
.
0
2
3
1
.
3
9
3
4
.
3
1
8
0
.
0
2
5
0
.
0
5
6
0
.
0
9
2
9
4
.
5
3
0
1
7
6
.
6
3
9
9
.
4
6
1
2
.
8
7
0
1
.
1
6
1
3
.
2
5
1
0
.
0
4
1
0
.
0
3
7
0
.
0
8
8
9
3
.
5
4
8
2
7
5
.
7
3
9
9
.
6
1
1
3
.
2
6
3
0
.
9
8
3
3
.
3
9
9
0
.
1
9
4
0
.
0
3
1
0
.
0
6
6
9
3
.
2
8
7
3
7
4
.
7
4
6
8
.
8
1
2
5
.
0
6
0
1
.
0
6
8
3
.
7
4
7
0
.
2
3
6
0
.
0
3
8
0
.
0
7
9
9
3
.
7
8
7
4
7
9
.
9
6
4
6
.
7
3
4
2
.
8
0
4
1
0
4
7
3
.
0
6
9
0
0
0
7
0
.
0
6
9
0
.
0
7
7
9
3
.
7
7
1
5
7
5
.
3
7
9
1
0
.
7
7
6
6
.
1
7
1
0
.
8
6
8
2
.
7
3
7
0
0
2
5
0
.
0
1
3
0
.
0
7
9
9
6
.
0
4
8
6
7
3
.
6
0
1
1
0
.
6
9
4
1
2
.
4
7
6
0
.
9
7
4
3
.
6
2
8
0
.
0
1
8
0
.
0
1
3
0
.
0
6
8
1
0
1
.
4
7
2
7
8
6
.
6
0
7
0
.
8
9
4
1
.
7
8
0
1
.
2
4
5
3
.
4
4
2
0
0
2
4
0
.
0
3
8
0
.
0
6
6
9
4
.
0
9
6
1
5
-
7
5
1
6
9
.
1
0
6
1
7
.
8
8
2
9
.
9
8
0
1
.
0
1
6
2
.
9
8
6
0
.
0
0
0
0
.
0
1
9
0
.
0
6
8
1
0
1
.
0
5
7
2
7
6
.
9
1
7
1
3
.
8
2
5
1
.
2
3
6
0
.
9
1
9
2
.
0
1
8
0
.
0
1
1
0
.
0
2
3
0
.
0
8
3
9
5
.
0
3
3
1
5
-
7
9
1
7
8
.
7
2
0
9
.
7
6
1
1
.
6
0
6
2
.
4
5
3
0
.
5
1
9
0
.
0
2
4
0
.
0
4
1
0
.
0
4
5
9
3
.
1
6
9
1
7
9
.
5
4
7
8
.
2
3
2
2
.
2
1
6
2
.
1
7
1
0
.
6
1
7
0
.
0
3
4
0
.
0
4
5
0
.
0
7
7
9
2
.
9
3
8
2
8
1
.
6
0
1
4
.
5
9
7
2
.
4
1
1
3
.
4
5
4
0
.
7
9
9
0
.
0
1
8
0
.
0
4
7
0
.
0
7
1
9
2
.
9
9
8
2
8
4
.
3
6
1
2
.
8
0
9
2
.
2
6
0
3
.
4
9
3
0
.
7
4
8
0
.
0
2
8
0
.
0
0
0
0
.
0
5
8
9
3
.
7
5
6
3
4
2
.
5
9
3
4
4
.
1
3
2
0
.
1
4
0
6
.
2
0
6
1
.
5
0
1
0
.
1
2
2
0
.
0
0
0
0
.
0
3
2
9
4
.
7
2
4
3
4
0
.
3
0
0
4
5
.
2
2
6
0
.
1
4
7
7
.
9
4
0
1
.
7
8
2
0
.
1
5
5
0
.
0
0
0
0
.
0
2
8
9
5
.
5
7
9
4
3
4
.
1
0
5
5
0
.
2
8
9
0
.
1
2
5
8
.
5
8
7
1
.
8
6
2
0
.
2
9
2
0
.
0
0
0
0
.
0
3
9
9
5
.
2
9
8
4
3
6
.
4
3
7
4
5
.
4
6
3
0
.
0
9
8
1
1
.
0
7
6
2
.
4
6
2
0
.
0
6
7
0
.
0
0
0
0
.
0
1
5
9
5
.
6
1
9
5
3
4
.
5
2
1
4
6
.
9
1
8
0
.
1
7
0
1
1
.
0
2
3
2
.
5
1
9
0
.
0
0
4
0
.
0
0
0
0
.
0
3
4
9
5
.
1
8
9
5
4
3
.
1
7
6
4
6
.
3
7
0
0
.
1
6
6
3
.
8
6
8
0
.
8
9
4
0
.
0
3
2
0
.
0
1
6
0
.
0
2
8
9
4
.
5
5
0
5
4
0
.
7
3
5
4
7
.
9
3
2
0
.
1
6
6
4
.
8
1
9
1
.
2
6
3
0
0
0
0
0
.
0
0
1
0
.
0
4
5
9
4
.
9
6
2
B
I
B
L
I
O
G
R
A
P
H
Y
B
I
B
L
I
O
G
R
A
P
H
Y
A
n
d
e
r
s
e
n
,
D
.
J
.
,
a
n
d
L
i
n
d
s
l
e
y
,
D
.
H
.
,
1
9
8
8
,
I
n
t
e
r
n
a
l
l
y
c
o
n
s
i
s
t
e
n
t
s
o
l
u
t
i
o
n
m
o
d
e
l
s
f
o
r
F
e
-
M
g
-
M
n
-
T
i
o
x
i
d
e
s
:
F
e
-
T
i
o
x
i
d
e
s
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
7
3
,
p
.
7
1
4
-
7
2
6
.
A
r
a
m
a
k
i
,
S
.
,
a
n
d
L
i
p
m
a
n
,
P
.
W
.
,
1
9
6
5
,
P
o
s
s
i
b
l
e
l
e
a
c
h
i
n
g
o
f
N
a
2
0
d
u
r
i
n
g
h
y
d
r
a
t
i
o
n
o
f
v
o
l
c
a
n
i
c
g
l
a
s
s
e
s
:
J
a
p
a
n
A
c
a
d
a
m
y
P
r
o
c
e
e
d
i
n
g
s
,
v
.
4
1
,
p
.
4
6
7
-
4
7
0
.
A
r
t
h
,
J
.
G
.
,
1
9
7
6
,
B
e
h
a
v
i
o
r
o
f
t
r
a
c
e
e
l
e
m
e
n
t
s
d
u
r
i
n
g
m
a
g
m
a
t
i
c
p
r
o
c
e
s
s
e
s
:
A
s
u
m
m
a
r
y
o
f
t
h
e
o
r
e
t
i
c
a
l
m
o
d
e
l
s
a
n
d
t
h
e
i
r
a
p
p
l
i
c
a
t
i
o
n
s
:
J
o
u
r
n
a
l
o
f
R
e
s
e
a
r
c
h
,
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
,
v
.
4
,
p
.
4
1
-
4
7
.
A
r
t
h
,
J
.
G
.
,
a
n
d
H
a
n
s
o
n
,
G
.
N
.
,
1
9
7
5
,
G
e
o
c
h
e
m
i
s
t
r
y
a
n
d
o
r
i
g
i
n
o
f
t
h
e
e
a
r
l
y
P
r
e
c
a
m
b
r
i
a
n
c
r
u
s
t
o
f
n
o
r
t
h
e
a
s
t
e
r
n
M
i
n
n
e
s
o
t
a
:
G
e
o
c
h
e
m
i
c
a
e
t
C
o
s
m
o
c
h
i
m
i
c
a
A
c
t
a
,
v
.
3
9
,
p
.
3
2
5
-
3
6
2
.
B
a
c
o
n
,
C
.
R
.
,
1
9
8
3
,
E
r
u
p
t
i
v
e
h
i
s
t
o
r
y
o
f
M
o
u
n
t
M
a
z
a
m
a
a
n
d
C
r
a
t
e
r
L
a
k
e
c
a
l
d
e
r
a
,
C
a
s
c
a
d
e
R
a
n
g
e
,
U
.
S
.
A
.
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
1
8
,
p
.
5
7
-
1
1
5
.
,
1
9
8
6
,
M
a
g
m
a
t
i
c
i
n
c
l
u
s
i
o
n
s
i
n
s
i
l
i
c
i
c
a
n
d
i
n
t
e
r
m
e
d
i
a
t
e
v
o
l
c
a
n
i
c
r
o
c
k
s
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
9
1
,
p
.
6
0
9
1
-
6
1
1
2
.
 
B
a
c
o
n
,
C
.
R
.
,
a
n
d
D
r
u
i
t
t
,
T
.
H
.
,
1
9
8
8
,
C
o
m
p
o
s
i
t
i
o
n
a
l
e
v
o
l
u
t
i
o
n
o
f
t
h
e
z
o
n
e
d
c
a
l
c
a
l
k
a
l
i
n
e
m
a
g
m
a
c
h
a
m
b
e
r
o
f
M
o
u
n
t
M
a
z
a
m
a
,
C
r
a
t
e
r
L
a
k
e
,
O
r
e
g
o
n
:
C
o
n
t
r
i
b
u
t
i
o
n
s
t
o
M
i
n
e
r
a
l
o
g
y
a
n
d
P
e
t
r
o
l
o
g
y
,
v
.
9
8
,
p
.
2
2
4
-
2
5
6
.
B
a
c
o
n
,
C
.
R
.
,
a
n
d
H
i
r
s
c
h
m
a
n
n
,
M
.
M
.
,
1
9
8
8
,
M
g
/
M
n
p
a
r
t
i
t
i
o
n
i
n
g
a
s
a
t
e
s
t
f
o
r
e
q
u
i
l
i
b
r
i
u
m
b
e
t
w
e
e
n
c
o
e
x
i
s
t
i
n
g
F
e
-
T
i
o
x
i
d
e
s
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
7
3
,
p
.
5
7
-
6
1
.
B
a
c
o
n
,
C
.
R
.
,
H
i
l
d
r
e
t
h
,
W
.
,
a
n
d
D
r
u
i
t
t
,
T
.
H
.
,
1
9
8
7
,
P
a
r
t
i
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
d
e
t
e
r
m
i
n
e
d
f
r
o
m
p
h
e
n
o
c
r
y
s
t
a
n
d
g
l
a
s
s
a
n
a
l
y
s
e
s
o
f
t
h
e
c
l
i
m
a
c
t
i
c
e
j
e
c
t
a
o
f
M
o
u
n
t
M
a
z
a
m
a
,
O
r
e
g
o
n
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
O
p
e
n
-
F
i
l
e
R
e
p
o
r
t
8
7
-
5
8
9
,
4
p
.
B
a
k
e
r
,
B
.
H
.
,
a
n
d
M
c
B
i
r
n
e
y
,
A
.
R
.
,
1
9
8
5
,
L
i
q
u
i
d
f
r
a
c
t
i
o
n
a
t
i
o
n
.
P
a
r
t
I
I
I
:
G
e
o
c
h
e
m
i
s
t
r
y
o
f
z
o
n
e
d
m
a
g
m
a
s
a
n
d
t
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
e
f
f
e
c
t
s
o
f
l
i
q
u
i
d
f
r
a
c
t
i
o
n
a
t
i
o
n
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
2
4
,
p
.
5
5
-
8
1
.
3
1
8
3
1
9
B
a
l
l
,
S
.
H
.
,
1
9
0
7
,
A
g
e
o
l
o
g
i
c
r
e
c
o
n
n
a
i
s
s
a
n
c
e
i
n
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
a
n
d
e
a
s
t
e
r
n
C
a
l
i
f
o
r
n
i
a
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
B
u
l
l
e
t
i
n
3
0
8
,
2
1
8
p
.
B
a
r
t
h
,
T
.
F
.
W
.
,
1
9
3
4
,
P
o
l
y
m
o
r
p
h
i
c
p
h
e
n
o
m
e
n
a
a
n
d
c
r
y
s
t
a
l
s
t
r
u
c
t
u
r
e
:
A
m
e
r
i
c
a
n
J
o
u
r
n
a
l
o
f
S
c
i
e
n
c
e
,
v
.
5
,
p
.
2
7
3
.
,
1
9
5
1
,
T
h
e
f
e
l
d
s
p
a
r
g
e
o
l
o
g
i
c
a
l
t
h
e
r
m
o
m
e
t
e
r
s
:
N
e
u
e
s
J
a
h
r
b
.
M
i
n
e
r
a
l
.
A
b
h
a
n
d
l
.
,
v
.
8
2
,
p
.
1
4
3
-
1
5
4
.
 
B
e
n
c
e
,
A
.
E
.
,
a
n
d
A
l
b
e
e
,
A
.
L
.
,
1
9
6
8
,
E
m
p
i
r
i
c
a
l
c
o
r
r
e
c
t
i
o
n
f
a
c
t
o
r
s
f
o
r
t
h
e
e
l
e
c
t
r
o
n
m
i
c
r
o
a
n
a
l
y
s
i
s
o
f
s
i
l
i
c
a
t
e
s
a
n
d
o
x
i
d
e
s
:
J
o
u
r
n
a
l
o
f
G
e
o
l
o
g
y
,
v
.
7
6
,
p
.
3
8
2
-
4
0
3
.
B
l
a
k
e
,
5
.
,
1
9
8
1
,
E
r
u
p
t
i
o
n
s
f
r
o
m
z
o
n
e
d
m
a
g
m
a
c
h
a
m
b
e
r
s
:
J
o
u
r
n
a
l
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
L
o
n
d
o
n
,
v
.
1
3
8
,
p
.
2
8
1
-
2
8
7
.
B
l
a
k
e
,
8
.
,
a
n
d
I
v
e
y
,
G
.
N
.
,
1
9
8
6
,
M
a
g
m
a
-
m
i
x
i
n
g
a
n
d
t
h
e
d
y
n
a
m
i
c
s
o
f
w
i
t
h
d
r
a
w
a
l
f
r
o
m
s
t
r
a
t
i
f
i
e
d
r
e
s
e
r
v
o
i
r
s
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
2
7
,
p
.
1
5
3
-
1
7
8
.
B
o
h
l
e
n
,
S
.
R
.
,
a
n
d
E
s
s
e
n
e
,
E
.
J
.
,
1
9
7
7
,
F
e
l
d
s
p
a
r
a
n
d
o
x
i
d
e
t
h
e
r
m
o
m
e
t
r
y
o
f
g
r
a
n
u
l
i
t
e
s
i
n
t
h
e
A
d
i
r
o
n
d
a
c
k
H
i
g
h
l
a
n
d
s
:
C
o
n
t
r
i
b
u
t
i
o
n
s
t
o
M
i
n
e
r
a
l
o
g
y
a
n
d
P
e
t
r
o
l
o
g
y
,
v
.
6
2
,
p
.
1
5
3
-
1
6
9
.
B
o
w
e
n
,
N
.
L
.
,
1
9
2
8
,
T
h
e
e
v
o
l
u
t
i
o
n
o
f
t
h
e
i
g
n
e
o
u
s
r
o
c
k
s
:
P
r
i
n
c
e
t
o
n
U
n
i
v
e
r
s
i
t
y
P
r
e
s
s
,
3
3
4
p
.
B
r
o
w
n
,
W
.
L
.
,
a
n
d
P
a
r
s
o
n
s
,
I
.
,
1
9
8
1
,
T
o
w
a
r
d
s
a
m
o
r
e
p
r
a
c
t
i
c
a
l
t
w
o
-
f
e
l
d
s
p
a
r
g
e
o
t
h
e
r
m
o
m
e
t
e
r
:
C
o
n
t
r
i
b
u
t
i
o
n
s
t
o
M
i
n
e
r
a
l
o
g
y
a
n
d
P
e
t
r
o
l
o
g
y
,
v
.
7
6
,
p
.
3
6
9
-
3
7
7
.
B
r
o
x
t
o
n
,
D
.
E
.
,
V
a
n
i
m
a
n
,
D
.
,
C
a
p
o
r
u
s
c
i
o
,
F
.
,
A
r
n
e
y
,
B
.
,
a
n
d
H
e
i
k
e
n
,
G
.
,
1
9
8
2
,
D
e
t
a
i
l
e
d
p
e
t
r
o
g
r
a
p
h
i
c
d
e
s
c
r
i
p
t
i
o
n
s
a
n
d
m
i
c
r
o
p
r
o
b
e
d
a
t
a
f
o
r
d
r
i
l
l
h
o
l
e
s
U
S
W
-
G
Z
a
n
d
U
E
2
5
b
-
1
H
,
Y
u
c
c
a
M
o
u
n
t
a
i
n
,
N
e
v
a
d
a
:
L
o
s
A
l
a
m
o
s
N
a
t
i
o
n
a
l
L
a
b
o
r
a
t
o
r
y
R
e
p
o
r
t
,
L
A
-
9
3
2
4
-
M
S
,
1
6
8
p
.
B
r
o
x
t
o
n
,
D
.
E
.
,
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
W
a
r
r
e
n
,
R
.
G
.
,
a
n
d
S
c
o
t
t
,
R
.
B
.
,
1
9
8
5
,
T
r
e
n
d
s
i
n
p
h
e
n
o
c
r
y
s
t
c
h
e
m
i
s
t
r
y
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
v
o
l
c
a
n
i
c
f
i
e
l
d
o
f
s
o
u
t
h
w
e
s
t
N
e
v
a
d
a
:
E
v
i
d
e
n
c
e
f
o
r
e
p
i
s
o
d
i
c
i
n
j
e
c
t
i
o
n
o
f
p
r
i
m
i
t
i
v
e
m
a
g
m
a
i
n
t
o
a
n
e
v
o
l
v
i
n
g
m
a
g
m
a
s
y
s
t
e
m
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
A
b
s
t
r
a
c
t
s
w
i
t
h
P
r
o
g
r
a
m
s
,
v
.
1
7
,
n
o
.
6
,
p
.
B
r
o
x
t
o
n
,
D
.
E
.
,
W
a
r
r
e
n
,
R
.
G
.
,
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
a
n
d
S
c
o
t
t
,
R
.
B
.
,
1
9
8
9
,
C
h
e
m
i
c
a
l
a
n
d
m
i
n
e
r
a
l
o
g
i
c
t
r
e
n
d
s
w
i
t
h
i
n
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
c
a
l
d
e
r
a
c
o
m
p
l
e
x
,
N
e
v
a
d
a
:
E
v
i
d
e
n
c
e
f
o
r
m
u
l
t
i
p
l
e
c
y
c
l
e
s
o
f
c
h
e
m
i
c
a
l
e
v
o
l
u
t
i
o
n
i
n
a
l
o
n
g
-
l
i
v
e
d
s
i
l
i
c
i
c
m
a
g
m
a
s
y
s
t
e
m
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
9
4
,
n
o
.
B
5
,
p
.
5
9
6
1
-
5
9
8
6
.
3
2
0
B
u
d
d
i
n
g
t
o
n
,
A
.
E
.
,
a
n
d
L
i
n
d
s
l
e
y
,
D
.
H
.
,
1
9
6
4
,
I
r
o
n
-
t
i
t
a
n
i
u
m
o
x
i
d
e
m
i
n
e
r
a
l
s
a
n
d
s
y
n
t
h
e
t
i
c
e
q
u
i
v
a
l
e
n
t
s
:
J
o
u
r
n
a
l
o
f
P
e
t
r
o
l
o
g
y
,
v
.
5
,
p
.
3
1
0
-
3
5
7
.
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
1
9
8
5
,
P
e
t
r
o
c
h
e
m
i
c
a
l
v
a
r
i
a
t
i
o
n
o
f
T
o
p
o
p
a
h
S
p
r
i
n
g
T
u
f
f
m
a
t
r
i
x
w
i
t
h
d
e
p
t
h
(
s
t
r
a
t
i
g
r
a
p
h
i
c
l
e
v
e
l
)
,
d
r
i
l
l
h
o
l
e
U
S
W
G
-
4
,
Y
u
c
c
a
M
o
u
n
t
a
i
n
,
N
e
v
a
d
a
:
L
o
s
A
l
a
m
o
s
N
a
t
i
o
n
a
l
L
a
b
o
r
a
t
o
r
y
R
e
p
o
r
t
,
L
A
-
1
0
5
6
1
-
M
S
,
3
8
p
.
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
C
a
r
r
,
W
.
J
.
,
O
r
k
i
l
d
,
P
.
P
.
,
Q
u
i
n
l
i
v
a
n
,
W
.
D
.
,
a
n
d
S
a
r
g
e
n
t
,
K
.
A
.
,
1
9
7
6
a
,
V
o
l
c
a
n
i
c
s
u
i
t
e
s
a
n
d
r
e
l
a
t
e
d
c
a
u
l
d
r
o
n
s
o
f
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
C
a
l
d
e
r
a
C
o
m
p
l
e
x
,
s
o
u
t
h
e
r
n
N
e
v
a
d
a
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
P
r
o
f
e
s
s
i
o
n
a
l
P
a
p
e
r
9
1
9
,
7
0
p
.
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
C
a
r
r
,
W
.
J
.
,
C
h
r
i
s
t
i
a
n
s
e
n
,
R
.
L
.
,
L
i
p
m
a
n
,
P
.
W
.
,
O
r
k
i
l
d
,
P
.
P
,
a
n
d
Q
u
i
n
l
i
v
a
n
,
W
.
D
.
,
1
9
7
6
b
,
G
e
o
l
o
g
i
c
m
a
p
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
a
r
e
a
,
N
y
e
C
o
u
n
t
y
,
N
e
v
a
d
a
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
M
i
s
c
e
l
l
a
n
e
o
u
s
G
e
o
l
o
g
i
c
I
n
v
e
s
t
i
g
a
t
i
o
n
s
M
a
p
I
-
8
9
1
.
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
O
r
k
i
l
d
,
P
.
P
.
,
C
a
r
,
W
.
J
.
,
a
n
d
Q
u
i
n
l
i
v
a
n
,
W
.
D
.
,
1
9
6
8
,
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
s
o
u
t
h
e
r
n
N
e
v
a
d
a
,
a
n
d
i
t
s
r
e
l
a
t
i
o
n
t
o
c
a
u
l
d
r
o
n
s
u
b
s
i
d
e
n
c
e
,
i
n
N
e
v
a
d
a
T
e
s
t
S
i
t
e
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
M
e
m
o
i
r
1
1
0
,
p
.
8
7
-
9
7
.
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
a
n
d
M
o
o
r
e
,
L
.
M
.
,
1
9
8
7
,
P
e
t
r
o
g
r
a
p
h
i
c
v
a
r
i
a
t
i
o
n
o
f
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
T
u
f
f
m
a
t
r
i
x
w
i
t
h
i
n
a
n
d
b
e
t
w
e
e
n
c
o
r
e
d
h
o
l
e
s
,
Y
u
c
c
a
M
o
u
n
t
a
i
n
,
N
e
v
a
d
a
:
L
o
s
A
l
a
m
o
s
N
a
t
i
o
n
a
l
L
a
b
o
r
a
t
o
r
y
R
e
p
o
r
t
,
L
A
-
1
0
9
0
1
-
M
S
,
7
2
p
.
C
a
m
e
r
o
n
,
K
.
L
.
,
1
9
8
3
,
B
i
s
h
o
p
T
u
f
f
r
e
v
i
s
i
t
e
d
:
N
e
w
r
a
r
e
-
e
a
r
t
h
e
l
e
m
e
n
t
d
a
t
a
c
o
n
s
i
s
t
e
n
t
w
i
t
h
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
:
S
c
i
e
n
c
e
,
v
.
2
2
4
,
p
.
1
3
3
8
-
1
3
4
0
.
C
a
r
m
i
c
h
a
e
l
,
I
.
S
.
E
.
,
a
n
d
N
i
c
h
o
l
l
s
,
J
.
,
1
9
6
7
,
I
r
o
n
-
t
i
t
a
n
i
u
m
o
x
i
d
e
s
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
i
e
s
i
n
v
o
l
c
a
n
i
c
r
o
c
k
s
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
7
2
,
p
.
4
6
6
5
-
4
6
8
7
.
C
a
r
r
,
W
.
J
.
,
1
9
8
2
,
V
o
l
c
a
n
o
-
t
e
c
t
o
n
i
c
h
i
s
t
o
r
y
o
f
C
r
a
t
e
r
F
l
a
t
,
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
,
a
s
s
u
g
g
e
s
t
e
d
b
y
n
e
w
e
v
i
d
e
n
c
e
f
r
o
m
d
r
i
l
l
h
o
l
e
U
S
W
V
H
-
l
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
O
p
e
n
-
F
i
l
e
R
e
p
o
r
t
,
8
2
-
4
5
7
,
2
3
p
.
C
a
r
r
,
W
.
J
.
,
1
9
8
4
,
R
e
g
i
o
n
a
l
s
t
r
u
c
t
u
r
a
l
s
e
t
t
i
n
g
o
f
Y
u
c
c
a
M
o
u
n
t
a
i
n
,
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
,
a
n
d
l
a
t
e
C
e
n
o
z
o
i
c
r
a
t
e
s
o
f
t
e
c
t
o
n
i
c
a
c
t
i
v
i
t
y
i
n
p
a
r
t
o
f
t
h
e
s
o
u
t
h
w
e
s
t
e
r
n
G
r
e
a
t
B
a
s
i
n
,
N
e
v
a
d
a
a
n
d
C
a
l
i
f
o
r
n
i
a
,
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
O
p
e
n
-
F
i
l
e
R
e
p
o
r
t
8
4
-
8
5
4
,
1
0
9
p
.
3
2
1
C
a
r
r
,
W
.
J
.
,
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
a
n
d
O
r
k
i
l
d
,
P
.
P
.
,
1
9
8
6
,
S
t
r
a
t
i
g
r
a
p
h
i
c
a
n
d
v
o
l
c
a
n
o
-
t
e
c
t
o
n
i
c
r
e
l
a
t
i
o
n
s
o
f
C
r
a
t
e
r
F
l
a
t
T
u
f
f
a
n
d
s
o
m
e
o
l
d
e
r
v
o
l
c
a
n
i
c
u
n
i
t
s
,
N
y
e
C
o
u
n
t
y
,
N
e
v
a
d
a
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
P
r
o
f
e
s
s
i
o
n
a
l
P
a
p
e
r
1
3
2
3
,
2
8
p
.
C
h
r
i
s
t
i
a
n
s
e
n
,
R
.
L
.
,
L
i
p
m
a
n
,
P
.
W
.
,
O
r
k
i
l
d
,
P
.
P
.
a
n
d
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
1
9
6
5
,
S
t
r
u
c
t
u
r
e
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
,
s
o
u
t
h
e
r
n
N
e
v
a
d
a
,
a
n
d
i
t
s
r
e
l
a
t
i
o
n
t
o
B
a
s
i
n
-
R
a
n
g
e
s
t
r
u
c
t
u
r
e
,
i
n
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
r
e
s
e
a
r
c
h
,
1
9
6
5
,
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
P
r
o
f
e
s
s
i
o
n
a
l
P
a
p
e
r
5
2
5
-
B
,
p
.
B
4
3
-
B
4
8
.
C
h
r
i
s
t
i
a
n
s
e
n
,
R
.
L
.
a
n
d
N
o
b
l
e
,
D
.
C
.
,
1
9
6
8
,
G
e
o
l
o
g
i
c
m
a
p
o
f
t
h
e
T
r
a
i
l
R
i
d
g
e
q
u
a
d
r
a
n
g
l
e
,
N
y
e
C
o
u
n
t
y
,
N
e
v
a
d
a
:
U
.
S
.
G
e
o
l
o
g
i
c
S
u
r
v
e
y
M
a
p
,
G
Q
—
7
7
4
.
C
h
r
i
s
t
i
a
n
s
e
n
,
R
.
L
.
,
L
i
p
m
a
n
,
P
.
W
.
,
C
a
r
r
,
W
.
J
.
,
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
O
r
k
i
l
d
,
P
.
P
.
,
a
n
d
S
a
r
g
e
n
t
,
K
.
A
.
,
1
9
7
7
,
T
i
m
b
e
r
M
o
u
n
t
a
i
n
-
O
a
s
i
s
V
a
l
l
e
y
c
a
l
d
e
r
a
c
o
m
p
l
e
x
o
f
s
o
u
t
h
e
r
n
N
e
v
a
d
a
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
B
u
l
l
e
t
i
n
,
v
.
8
8
,
p
.
9
4
3
-
9
5
9
.
C
r
i
s
s
,
J
.
,
1
9
8
0
,
F
u
n
d
a
m
e
n
t
a
l
p
a
r
a
m
e
t
e
r
c
a
l
c
u
l
a
t
i
o
n
s
o
n
a
l
a
b
o
r
a
t
o
r
y
m
i
c
r
o
c
o
m
p
u
t
e
r
.
A
d
v
a
n
c
e
s
i
n
X
-
r
a
y
A
n
a
l
y
s
i
s
,
v
.
2
3
,
p
.
9
3
-
9
7
.
C
o
r
n
w
a
l
l
,
H
.
R
.
,
a
n
d
K
l
e
i
n
h
a
m
p
l
,
F
.
J
.
,
1
9
6
4
,
G
e
o
l
o
g
y
o
f
B
u
l
l
f
r
o
g
q
u
a
d
r
a
n
g
l
e
a
n
d
o
r
e
d
e
p
s
i
t
s
r
e
l
a
t
e
d
t
o
B
u
l
l
f
r
o
g
H
i
l
l
s
c
a
l
d
e
r
a
,
N
y
e
C
o
u
n
t
y
,
N
e
v
a
d
a
,
a
n
d
I
n
y
o
C
o
u
n
t
y
,
C
a
l
i
f
o
r
n
i
a
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
P
r
o
f
e
s
s
i
o
n
a
l
P
a
p
e
r
4
5
4
-
J
,
p
.
J
1
-
J
2
5
.
C
o
x
,
K
.
G
.
,
B
e
l
l
,
J
.
D
.
,
a
n
d
P
a
n
k
h
u
r
s
t
,
R
.
J
.
,
1
9
7
9
,
T
h
e
i
n
t
e
r
p
r
e
t
a
t
i
o
n
o
f
i
g
n
e
o
u
s
r
o
c
k
s
:
G
e
o
r
g
e
A
l
l
e
n
a
n
d
U
n
w
i
n
,
L
o
n
d
o
n
,
4
5
0
p
.
C
r
o
s
s
,
T
.
A
.
,
a
n
d
P
i
l
g
e
r
,
R
.
H
.
,
J
r
.
,
1
9
7
8
,
C
o
n
s
t
r
a
i
n
t
s
o
n
a
b
s
o
l
u
t
e
m
o
t
i
o
n
a
n
d
p
l
a
t
e
i
n
t
e
r
a
c
t
i
o
n
i
n
f
e
r
r
e
d
f
r
o
m
C
e
n
o
z
o
i
c
i
g
n
e
o
u
s
a
c
t
i
v
i
t
y
i
n
t
h
e
w
e
s
t
e
r
n
U
n
i
t
e
d
S
t
a
t
e
s
:
A
m
e
r
i
c
a
n
J
o
u
r
n
a
l
o
f
S
c
i
e
n
c
e
,
v
.
2
7
8
,
p
.
8
6
5
-
9
0
2
.
C
z
a
m
a
n
s
k
e
,
G
.
K
.
,
I
s
h
i
h
a
r
a
,
S
.
,
a
n
d
A
t
k
i
n
,
S
.
A
.
,
1
9
8
1
,
C
h
e
m
i
s
t
r
y
o
f
r
o
c
k
-
f
o
r
m
i
n
g
m
i
n
e
r
a
l
s
o
f
t
h
e
C
r
e
t
a
c
e
o
u
s
-
P
a
l
e
o
c
e
n
e
b
a
t
h
o
l
i
t
h
o
f
s
o
u
t
h
w
e
s
t
e
r
n
J
a
p
a
n
a
n
d
i
m
p
l
i
c
a
t
i
o
n
s
f
o
r
m
a
g
m
a
g
e
n
e
s
i
s
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
8
6
,
p
.
1
0
4
3
1
-
1
0
4
6
9
.
D
r
u
i
t
t
,
T
.
H
.
,
a
n
d
B
a
c
o
n
,
C
.
R
.
,
1
9
8
6
,
L
i
t
h
i
c
b
r
e
c
c
i
a
a
n
d
i
g
n
i
m
b
r
i
t
e
e
r
u
p
t
e
d
d
u
r
i
n
g
t
h
e
c
o
l
l
a
p
s
e
o
f
C
r
a
t
e
r
L
a
k
e
c
a
l
d
e
r
a
,
O
r
e
g
o
n
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
2
9
,
p
.
1
-
3
2
.
3
2
2
E
a
t
o
n
,
G
.
P
.
,
1
9
7
9
,
R
e
g
i
o
n
a
l
g
e
o
p
h
y
s
i
c
s
,
C
e
n
o
z
o
i
c
t
e
c
t
o
n
i
c
s
,
a
n
d
g
e
o
l
o
g
i
c
a
l
r
e
s
o
u
r
c
e
s
o
f
t
h
e
B
a
s
i
n
a
n
d
R
a
n
g
e
P
r
o
v
i
n
c
e
a
n
d
a
d
j
o
i
n
i
n
g
r
e
g
i
o
n
s
,
i
n
N
e
w
m
a
n
,
G
.
W
.
,
a
n
d
G
o
o
d
e
,
H
.
D
.
,
e
d
s
.
,
B
a
s
i
n
a
n
d
R
a
n
g
e
s
y
m
p
o
s
i
u
m
a
n
d
G
r
e
a
t
B
a
s
i
n
f
i
e
l
d
c
o
n
f
e
r
e
n
c
e
:
R
o
c
k
y
M
o
u
n
t
a
i
n
A
s
s
o
c
i
a
t
i
o
n
o
f
G
e
o
l
o
g
i
s
t
s
a
n
d
U
t
a
h
G
e
o
l
o
g
i
c
a
l
A
s
s
o
c
i
a
t
i
o
n
,
p
.
1
1
-
4
0
.
E
a
t
o
n
,
G
.
P
.
,
1
9
8
4
,
T
h
e
M
i
o
c
e
n
e
G
r
e
a
t
B
a
s
i
n
o
f
w
e
s
t
e
r
n
N
o
r
t
h
A
m
e
r
i
c
a
a
s
a
n
e
x
t
e
n
d
i
n
g
b
a
c
k
-
a
r
c
r
e
g
i
o
n
,
i
n
C
a
r
l
s
o
n
,
R
.
L
.
,
a
n
d
K
o
b
a
y
a
s
h
i
,
K
.
,
e
d
s
.
,
G
e
o
d
y
n
a
m
i
c
s
o
f
b
a
c
k
-
a
r
c
r
e
g
i
o
n
s
:
T
e
c
t
o
n
o
p
h
y
s
i
c
s
,
v
.
1
0
2
,
p
.
2
7
5
-
2
9
5
.
E
c
k
e
l
,
E
.
B
.
,
1
9
6
8
,
D
e
v
e
l
o
p
m
e
n
t
o
f
g
e
o
l
o
g
i
c
a
l
k
n
o
w
l
e
d
g
e
a
t
N
e
v
a
d
a
T
e
s
t
S
i
t
e
,
i
n
,
N
e
v
a
d
a
T
e
s
t
S
i
t
e
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
M
e
m
o
i
r
1
1
0
,
p
.
5
-
1
0
.
F
i
s
h
e
r
,
R
.
V
.
,
a
n
d
S
c
h
m
i
n
c
k
e
,
H
.
-
U
.
,
1
9
8
4
,
P
y
r
o
c
l
a
s
t
i
c
r
o
c
k
s
:
S
p
r
i
n
g
e
r
-
V
e
r
l
a
g
,
B
e
r
l
i
n
,
4
7
2
p
.
F
l
o
o
d
,
T
.
P
.
,
1
9
8
7
,
C
y
c
l
i
c
e
v
o
l
u
t
i
o
n
o
f
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
:
T
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
,
S
W
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
[
P
h
.
D
.
T
h
e
s
i
s
]
:
E
a
s
t
L
a
n
s
i
n
g
,
M
i
c
h
i
g
a
n
,
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
,
1
4
7
p
.
F
l
o
o
d
,
T
.
P
.
,
V
o
g
e
l
,
T
.
A
.
,
a
n
d
S
c
h
u
r
a
y
t
z
,
B
.
C
.
,
1
9
8
9
a
,
C
h
e
m
i
c
a
l
e
v
o
l
u
t
i
o
n
o
f
a
m
a
g
m
a
t
i
c
s
y
s
t
e
m
:
T
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
:
S
o
u
t
h
w
e
s
t
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
9
4
,
n
o
.
B
5
,
p
.
5
9
4
3
-
5
9
6
0
.
F
l
o
o
d
,
T
.
P
.
,
S
c
h
u
r
a
y
t
z
,
B
.
C
.
,
a
n
d
V
o
g
e
l
,
T
.
A
.
,
1
9
8
9
b
,
M
a
g
m
a
m
i
x
i
n
g
d
u
e
t
o
t
h
e
d
i
s
r
u
p
t
i
o
n
o
f
a
l
a
y
e
r
e
d
m
a
g
m
a
b
o
d
y
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
3
6
,
p
.
2
4
1
—
2
5
5
.
F
r
i
d
r
i
c
h
,
C
.
J
.
,
a
n
d
M
a
h
o
o
d
,
G
.
A
.
,
1
9
8
7
,
C
o
m
p
o
s
i
t
i
o
n
a
l
l
a
y
e
r
s
i
n
t
h
e
z
o
n
e
d
m
a
g
m
a
c
h
a
m
b
e
r
o
f
t
h
e
G
r
i
z
z
l
y
P
e
a
k
T
u
f
f
:
G
e
o
l
o
g
y
,
v
.
1
5
,
p
.
2
9
9
-
3
0
3
.
F
u
h
r
m
a
n
,
M
.
L
.
,
a
n
d
L
i
n
d
s
l
e
y
,
D
.
H
.
,
1
9
8
8
,
T
e
r
n
a
r
y
-
f
e
l
d
s
p
a
r
m
o
d
e
l
i
n
g
a
n
d
t
h
e
r
m
o
m
e
t
r
y
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
7
3
,
p
.
2
0
1
-
2
1
5
.
G
o
r
d
o
n
,
G
.
E
.
,
K
e
i
t
h
,
R
.
,
G
o
l
e
s
,
G
.
G
.
,
C
o
r
l
i
s
s
,
J
.
B
.
,
B
e
e
s
o
n
,
M
.
H
.
,
a
n
d
O
x
l
e
y
,
8
.
3
.
,
1
9
6
8
,
I
n
s
t
r
u
m
e
n
t
a
l
a
c
t
i
v
a
t
i
o
n
a
n
a
l
y
s
i
s
o
f
s
t
a
n
d
a
r
d
r
o
c
k
s
w
i
t
h
h
i
g
h
-
r
e
s
o
l
u
t
i
o
n
g
a
m
m
a
r
a
y
d
e
t
e
c
t
o
r
s
:
G
e
o
c
h
i
m
i
c
a
e
t
C
o
s
m
o
c
h
i
m
i
c
a
A
c
t
a
,
v
.
3
2
,
p
.
3
6
9
-
3
9
6
.
G
r
e
e
n
,
N
.
L
.
,
a
n
d
U
s
d
a
n
s
k
y
,
S
.
I
.
,
1
9
8
6
,
T
e
r
n
a
r
y
-
f
e
l
d
s
p
a
r
m
i
x
i
n
g
r
e
l
a
t
i
o
n
s
a
n
d
t
h
e
r
m
o
b
a
r
o
m
e
t
r
y
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
7
1
,
p
.
1
1
0
0
-
1
1
0
8
.
G
r
e
e
n
l
a
n
d
,
L
.
P
.
,
1
9
7
0
,
A
n
e
q
u
a
t
i
o
n
f
o
r
t
r
a
c
e
e
l
e
m
e
n
t
d
i
s
t
r
i
b
u
t
i
o
n
d
u
r
i
n
g
m
a
g
m
a
t
i
c
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
5
5
,
p
.
4
5
5
-
4
6
5
.
3
2
3
G
r
u
n
d
e
r
,
A
.
L
.
,
a
n
d
B
o
d
e
n
,
D
.
R
.
,
1
9
8
7
,
C
o
m
m
e
n
t
o
n
"
.
.
.
M
a
g
m
a
t
i
c
c
o
n
d
i
t
i
o
n
s
o
f
t
h
e
F
i
s
h
C
a
n
y
o
n
T
u
f
f
,
c
e
n
t
r
a
l
S
a
n
J
u
a
n
V
o
l
c
a
n
i
c
F
i
e
l
d
,
C
o
l
o
r
a
d
o
"
b
y
W
h
i
t
n
e
y
a
n
d
S
t
o
r
m
e
r
(
1
9
8
5
)
:
J
o
u
r
n
a
l
o
f
P
e
t
r
o
l
o
g
y
,
v
.
2
8
,
p
.
7
3
7
-
7
4
6
.
H
a
g
g
e
r
t
y
,
S
.
E
.
,
1
9
7
6
,
O
p
a
q
u
e
m
i
n
e
r
a
l
o
x
i
d
e
s
i
n
t
e
r
r
e
s
t
r
i
a
l
i
g
n
e
o
u
s
r
o
c
k
s
,
O
x
i
d
e
M
i
n
e
r
a
l
s
:
S
h
o
r
t
C
o
u
r
s
e
N
o
t
e
s
M
i
n
e
r
a
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
,
v
.
3
,
p
.
1
0
1
-
3
0
0
.
H
a
m
m
a
r
s
t
r
o
m
,
J
.
M
.
,
a
n
d
Z
e
n
,
E
.
,
1
9
8
6
,
A
l
u
m
i
n
u
m
i
n
h
o
r
n
b
l
e
n
d
e
:
A
n
e
m
p
i
r
i
c
a
l
i
g
n
e
o
u
s
g
e
o
b
a
r
o
m
e
t
e
r
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
7
1
,
p
.
1
2
9
7
-
1
3
1
3
.
H
a
r
t
,
S
.
R
.
,
a
n
d
C
.
J
.
,
A
l
l
e
g
r
e
,
1
9
8
0
,
T
r
a
c
e
-
e
l
e
m
e
n
t
c
o
n
s
t
r
a
i
n
t
s
o
n
m
a
g
m
a
g
e
n
e
s
i
s
:
i
n
P
h
y
s
i
c
s
o
f
M
a
g
m
a
t
i
c
P
r
o
c
e
s
s
e
s
,
H
a
r
g
r
a
v
e
s
,
R
.
B
.
,
e
d
.
,
P
r
i
n
c
e
t
o
n
U
n
i
v
e
r
s
i
t
y
P
r
e
s
s
,
5
8
5
p
.
H
a
s
k
i
n
,
L
.
A
.
,
H
a
s
k
i
n
,
M
.
A
.
,
F
r
e
y
,
F
.
A
.
,
a
n
d
W
i
l
d
e
m
a
n
,
T
.
R
.
,
1
9
6
8
,
R
e
l
a
t
i
v
e
a
n
d
a
b
s
o
l
u
t
e
t
e
r
r
e
s
t
r
i
a
l
a
b
u
n
d
a
n
c
e
s
o
f
t
h
e
R
a
r
e
E
a
r
t
h
s
:
i
n
,
O
r
i
g
i
n
a
n
d
D
i
s
t
r
i
b
u
t
i
o
n
o
f
t
h
e
E
l
e
m
e
n
t
s
,
A
h
r
e
n
s
,
L
.
H
.
,
e
d
.
,
P
e
r
g
a
m
o
n
P
r
e
s
s
,
N
e
w
Y
o
r
k
,
p
.
8
8
9
-
9
1
2
.
H
a
y
,
R
.
L
.
,
1
9
5
9
,
F
o
r
m
a
t
i
o
n
o
f
t
h
e
c
r
y
s
t
a
l
-
r
i
c
h
g
l
o
w
i
n
g
a
v
a
l
a
n
c
h
e
d
e
p
o
s
i
t
s
o
f
S
t
.
V
i
n
c
e
n
t
,
B
.
W
.
I
.
:
J
o
u
r
n
a
l
o
f
G
e
o
l
o
g
y
,
v
.
6
7
,
p
.
5
4
0
-
5
6
2
.
H
e
n
d
e
r
s
o
n
,
P
.
,
1
9
8
2
,
I
n
o
r
g
a
n
i
c
G
e
o
c
h
e
m
i
s
t
r
y
:
P
e
r
g
a
m
o
n
P
r
e
s
s
,
N
e
w
Y
o
r
k
,
3
5
3
p
.
H
i
l
d
r
e
t
h
,
E
.
W
.
,
1
9
7
9
,
T
h
e
B
i
s
h
o
p
T
u
f
f
:
E
v
i
d
e
n
c
e
f
o
r
t
h
e
o
r
i
g
i
n
o
f
c
o
m
p
o
s
i
t
i
o
n
a
l
z
o
n
a
t
i
o
n
i
n
s
i
l
i
c
i
c
m
a
g
m
a
c
h
a
m
b
e
r
s
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
S
p
e
c
i
a
l
P
a
p
e
r
1
8
0
,
p
.
4
3
-
7
5
.
,
1
9
8
1
,
G
r
a
d
i
e
n
t
s
i
n
s
i
l
i
c
i
c
m
a
g
m
a
c
h
a
m
b
e
r
s
:
I
m
p
l
i
c
a
t
i
o
n
s
f
o
r
l
i
t
h
o
s
p
h
e
r
i
c
m
a
g
m
a
t
i
s
m
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
8
6
,
p
.
1
0
1
5
3
-
1
0
1
9
2
.
 
,
1
9
8
3
,
T
h
e
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
e
r
u
p
t
i
o
n
o
f
1
9
1
2
i
n
t
h
e
V
a
l
l
e
y
o
f
T
e
n
T
h
o
u
s
a
n
d
S
m
o
k
e
s
,
K
a
t
m
a
i
N
a
t
i
o
n
a
l
p
a
r
k
,
A
l
a
s
k
a
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
1
8
,
p
.
1
-
5
6
.
 
H
i
l
d
r
e
t
h
,
W
.
,
a
n
d
M
a
h
o
o
d
,
G
.
,
1
9
8
5
,
C
o
r
r
e
l
a
t
i
o
n
o
f
a
s
h
-
f
l
o
w
t
u
f
f
s
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
B
u
l
l
e
t
i
n
,
v
.
9
6
,
p
.
9
6
8
-
9
7
4
.
H
o
l
l
i
s
t
e
r
,
L
.
S
.
,
G
r
i
s
s
o
m
,
G
.
C
.
,
P
e
t
e
r
s
,
E
.
K
.
,
S
t
o
w
e
l
l
,
H
.
H
.
,
a
n
d
S
i
s
s
o
n
,
V
.
B
.
,
1
9
8
7
,
C
o
n
f
i
r
m
a
t
i
o
n
o
f
t
h
e
e
m
p
i
r
i
c
a
l
c
o
r
r
e
l
a
t
i
o
n
o
f
A
l
i
n
h
o
r
n
b
l
e
n
d
e
w
i
t
h
p
r
e
s
s
u
r
e
o
f
s
o
l
i
d
i
f
i
c
a
t
i
o
n
o
f
c
a
l
c
-
a
l
k
a
l
i
n
e
p
l
u
t
o
n
s
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
7
2
,
p
.
2
3
1
-
2
3
9
.
3
2
4
H
u
p
p
e
r
t
,
H
.
E
.
,
a
n
d
S
p
a
r
k
s
,
R
.
S
.
J
.
,
1
9
8
4
,
D
o
u
b
l
e
-
d
i
f
f
u
s
i
v
e
c
o
n
v
e
c
t
i
o
n
d
u
e
t
o
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
i
n
m
a
g
m
a
s
:
A
n
n
u
a
l
R
e
v
i
e
w
s
E
a
r
t
h
a
n
d
P
l
a
n
e
t
a
r
y
S
c
i
e
n
c
e
,
v
.
1
2
,
p
.
1
1
-
3
7
.
H
u
p
p
e
r
t
,
H
.
E
.
,
S
p
a
r
k
s
,
R
.
S
.
J
.
,
a
n
d
T
u
r
n
e
r
,
J
.
S
.
,
1
9
8
4
,
S
o
m
e
e
f
f
e
c
t
s
o
f
v
i
s
c
o
s
i
t
y
o
n
t
h
e
d
y
n
a
m
i
c
s
o
f
r
e
p
l
e
n
i
s
h
e
d
m
a
g
m
a
c
h
a
m
b
e
r
s
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
8
9
,
p
.
6
8
5
7
-
6
8
7
7
.
H
y
n
d
m
a
n
,
D
.
W
.
,
1
9
8
5
,
P
e
t
r
o
l
o
g
y
o
f
i
g
n
e
o
u
s
a
n
d
m
e
t
a
m
o
r
p
h
i
c
r
o
c
k
s
,
2
n
d
e
d
.
:
M
c
G
r
a
w
-
H
i
l
l
,
N
e
w
Y
o
r
k
,
7
8
6
p
.
I
r
v
i
n
e
,
T
.
N
.
,
a
n
d
B
a
r
a
g
a
r
,
W
.
R
.
A
.
,
1
9
7
1
,
A
g
u
i
d
e
t
o
t
h
e
c
h
e
m
i
c
a
l
c
l
a
s
s
i
f
i
c
a
t
i
o
n
o
f
t
h
e
c
o
m
m
o
n
r
o
c
k
s
:
C
a
n
a
d
i
a
n
J
o
u
r
n
a
l
o
f
E
a
r
t
h
S
c
i
e
n
c
e
,
v
.
8
,
p
.
5
2
3
-
4
8
.
J
a
c
k
s
o
n
,
M
.
L
.
,
1
9
7
9
,
S
o
i
l
c
h
e
m
i
c
a
l
a
n
a
l
y
s
i
s
a
d
v
a
n
c
e
d
c
o
u
r
s
e
;
2
n
d
e
d
.
,
1
1
t
h
p
r
i
n
t
i
n
g
,
p
.
3
4
,
p
u
b
l
i
s
h
e
d
b
y
a
u
t
h
o
r
,
M
a
d
i
s
o
n
,
W
i
s
c
o
n
s
i
n
.
J
o
h
n
s
o
n
,
M
.
C
.
,
a
n
d
R
u
t
h
e
r
f
o
r
d
,
M
.
J
.
,
1
9
8
9
,
E
x
p
e
r
i
m
e
n
t
a
l
l
y
d
e
t
e
r
m
i
n
e
d
c
o
n
d
i
t
i
o
n
s
i
n
t
h
e
F
i
s
h
C
a
n
y
o
n
T
u
f
f
,
C
o
l
o
r
a
d
o
,
m
a
g
m
a
c
h
a
m
b
e
r
:
J
o
u
r
n
a
l
o
f
P
e
t
r
o
l
o
g
y
,
v
.
3
0
,
p
.
7
1
1
-
7
3
7
.
K
a
t
s
u
i
,
Y
.
,
1
9
6
3
,
E
v
o
l
u
t
i
o
n
a
n
d
m
a
g
m
a
t
i
c
h
i
s
t
o
r
y
o
f
s
o
m
e
K
r
a
k
a
t
o
a
n
c
a
l
d
e
r
a
s
i
n
H
o
k
k
a
i
d
o
,
J
a
p
a
n
:
H
o
k
k
a
i
d
o
U
n
i
v
e
r
s
i
t
y
F
a
c
u
l
t
y
S
c
i
e
n
c
e
J
o
u
r
n
a
l
,
S
e
r
i
e
s
4
,
G
e
o
l
o
g
y
a
n
d
M
i
n
e
r
a
l
o
g
y
,
v
.
1
1
,
n
o
.
4
,
p
.
6
3
1
-
6
5
0
.
L
e
B
a
s
,
M
.
J
.
,
L
e
M
a
i
t
r
e
,
R
.
W
.
,
S
t
r
e
c
k
e
i
s
e
n
,
A
.
,
a
n
d
Z
a
n
e
t
t
i
n
,
B
.
,
1
9
8
6
,
A
c
h
e
m
i
c
a
l
c
l
a
s
s
i
f
i
c
a
t
i
o
n
o
f
v
o
l
c
a
n
i
c
r
o
c
k
s
b
a
s
e
d
o
n
t
h
e
T
o
t
a
l
A
l
k
a
l
i
-
S
i
l
i
c
a
d
i
a
g
r
a
m
:
J
o
u
r
n
a
l
o
f
P
e
t
r
o
l
o
g
y
,
v
.
2
7
,
p
.
7
4
5
-
7
5
0
.
L
e
a
t
,
P
.
T
.
,
M
a
c
d
o
n
a
l
d
,
R
.
,
a
n
d
C
h
a
p
m
a
n
,
G
.
R
.
,
1
9
8
4
,
G
e
o
c
h
e
m
i
c
a
l
e
v
o
l
u
t
i
o
n
o
f
t
h
e
M
e
n
e
n
g
a
i
c
a
l
d
e
r
a
v
o
l
c
a
n
o
,
K
e
n
y
a
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
8
9
,
n
o
.
B
1
0
,
p
.
8
5
7
1
-
8
5
9
2
.
L
i
n
d
s
l
e
y
,
D
.
H
.
,
a
n
d
S
p
e
n
c
e
r
,
K
.
J
.
,
1
9
8
2
,
F
e
-
T
i
o
x
i
d
e
g
e
o
t
h
e
r
m
o
m
e
t
r
y
:
R
e
d
u
c
i
n
g
a
n
a
l
y
s
e
s
o
f
c
o
e
x
i
s
t
i
n
g
T
i
-
m
a
g
n
e
t
i
t
e
(
M
t
)
a
n
d
i
l
m
e
n
i
t
e
(
I
l
m
)
:
E
O
S
,
T
r
a
n
s
a
c
t
i
o
n
s
,
A
m
e
r
i
c
a
n
G
e
o
p
h
y
s
i
c
a
l
U
n
i
o
n
,
a
b
s
t
r
a
c
t
,
v
.
6
3
,
p
.
4
7
1
.
L
i
p
m
a
n
,
P
.
W
.
,
1
9
6
5
,
C
h
e
m
i
c
a
l
c
o
m
p
a
r
i
s
o
n
o
f
g
l
a
s
s
y
a
n
d
c
r
y
s
t
a
l
l
i
n
e
v
o
l
c
a
n
i
c
r
o
c
k
s
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
S
p
e
c
i
a
l
P
a
p
e
r
8
2
,
p
.
2
6
0
-
2
6
1
.
,
1
9
6
7
,
M
i
n
e
r
a
l
a
n
d
c
h
e
m
i
c
a
l
v
a
r
i
a
t
i
o
n
s
w
i
t
h
i
n
a
n
a
s
h
-
f
l
o
w
s
h
e
e
t
f
r
o
m
A
s
o
c
a
l
d
e
r
a
,
s
o
u
t
h
w
e
s
t
e
r
n
J
a
p
a
n
:
C
o
n
t
r
i
b
u
t
i
o
n
s
t
o
M
i
n
e
r
a
l
o
g
y
a
n
d
P
e
t
r
o
l
o
g
y
,
v
.
1
6
,
p
.
3
0
0
-
3
2
7
.
 
3
2
5
L
i
p
m
a
n
,
P
.
W
.
,
1
9
7
1
,
I
r
o
n
-
t
i
t
a
n
i
u
m
o
x
i
d
e
p
h
e
n
o
c
r
y
s
t
s
i
n
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
a
s
h
-
f
l
o
w
s
h
e
e
t
s
f
r
o
m
s
o
u
t
h
e
r
n
N
e
v
a
d
a
:
J
o
u
r
n
a
l
o
f
G
e
o
l
o
g
y
,
v
.
7
9
,
p
.
4
3
8
-
4
5
6
.
L
i
p
m
a
n
,
P
.
W
.
,
P
r
o
t
s
k
a
,
H
.
J
.
,
a
n
d
C
h
r
i
s
t
i
a
n
s
e
n
,
R
.
L
.
,
1
9
7
2
,
C
e
n
o
z
o
i
c
v
o
l
c
a
n
i
s
m
a
n
d
p
l
a
t
e
t
e
c
t
o
n
i
c
e
v
o
l
u
t
i
o
n
o
f
t
h
e
w
e
s
t
e
r
n
U
n
i
t
e
d
S
t
a
t
e
s
;
1
.
E
a
r
l
y
a
n
d
m
i
d
d
l
e
C
e
n
o
z
o
i
c
:
R
o
y
a
l
S
o
c
i
e
t
y
o
f
L
o
n
d
o
n
P
h
i
l
o
s
o
p
h
i
c
a
l
T
r
a
n
s
a
c
t
i
o
n
s
,
s
e
r
.
A
,
v
.
2
7
1
,
p
.
2
1
7
-
2
4
8
.
L
i
p
m
a
n
,
P
.
W
.
,
a
n
d
F
r
i
e
d
m
a
n
,
I
.
,
1
9
7
5
,
I
n
t
e
r
a
c
t
i
o
n
o
f
m
e
t
e
o
r
i
c
w
a
t
e
r
w
i
t
h
m
a
g
m
a
:
A
n
o
x
y
g
e
n
-
i
s
o
t
o
p
e
s
t
u
d
y
o
f
a
s
h
-
f
l
o
w
s
h
e
e
t
s
f
r
o
m
s
o
u
t
h
e
r
n
N
e
v
a
d
a
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
B
u
l
l
e
t
i
n
,
v
.
8
6
,
p
.
6
9
5
-
7
0
2
.
L
i
p
m
a
n
,
P
.
W
.
,
C
h
r
i
s
t
i
a
n
s
e
n
,
R
.
L
.
,
a
n
d
O
'
C
o
n
n
o
r
,
J
.
T
.
,
1
9
6
6
,
A
c
o
m
p
o
s
i
t
i
o
n
a
l
l
y
z
o
n
e
d
a
s
h
-
f
l
o
w
s
h
e
e
t
i
n
s
o
u
t
h
e
r
n
N
e
v
a
d
a
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
P
r
o
f
e
s
s
i
o
n
a
l
P
a
p
e
r
5
2
4
-
F
,
p
.
F
1
-
F
4
7
.
M
a
h
o
o
d
,
G
.
A
.
,
1
9
8
1
,
A
s
u
m
m
a
r
y
o
f
t
h
e
g
e
o
l
o
g
y
a
n
d
p
e
t
r
o
l
o
g
y
o
f
t
h
e
S
i
e
r
r
a
L
a
P
r
i
m
a
v
e
r
a
,
J
a
l
i
s
c
o
,
M
e
x
i
c
o
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
8
6
,
p
.
1
0
1
3
7
-
1
0
1
5
2
.
M
a
h
o
o
d
,
G
.
A
.
,
a
n
d
H
i
l
d
r
e
t
h
,
E
.
W
.
,
1
9
8
3
,
L
a
r
g
e
p
a
r
t
i
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
f
o
r
t
r
a
c
e
e
l
e
m
e
n
t
s
i
n
h
i
g
h
-
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
:
G
e
o
c
h
i
m
i
c
a
e
t
C
o
s
m
o
c
h
i
m
i
c
a
A
c
t
a
,
v
.
4
7
,
p
.
1
1
-
3
0
.
M
c
B
i
r
n
e
y
,
A
.
R
.
,
1
9
6
8
,
C
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
s
o
f
t
h
e
c
l
i
m
a
c
t
i
c
e
r
u
p
t
i
o
n
o
f
M
o
u
n
t
M
a
z
a
m
a
,
i
n
D
o
l
e
,
H
.
M
.
,
e
d
.
,
A
n
d
e
s
i
t
e
C
o
n
f
e
r
e
n
c
e
G
u
i
d
e
b
o
o
k
:
O
r
e
g
o
n
D
e
p
a
r
t
m
e
n
t
o
f
G
e
o
l
o
g
y
a
n
d
M
i
n
e
r
a
l
I
n
d
u
s
t
r
y
B
u
l
l
e
t
i
n
,
v
.
6
2
,
p
.
5
3
-
5
6
.
,
1
9
8
0
,
M
i
x
i
n
g
a
n
d
u
n
m
i
x
i
n
g
o
f
m
a
g
m
a
s
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
7
,
p
.
3
5
7
-
3
7
1
.
 
M
c
B
i
r
n
e
y
,
A
.
R
.
,
B
a
k
e
r
,
B
.
H
.
a
n
d
N
i
l
s
o
n
,
R
.
H
.
,
1
9
8
5
,
L
i
q
u
i
d
f
r
a
c
t
i
o
n
a
t
i
o
n
,
P
a
r
t
I
:
B
a
s
i
c
p
r
i
n
c
i
p
l
e
s
a
n
d
e
x
p
e
r
i
m
e
n
t
a
l
s
i
m
u
l
a
t
i
o
n
s
,
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
2
4
,
p
.
1
-
2
4
.
M
i
c
h
a
e
l
,
P
.
J
.
,
1
9
8
3
a
,
C
h
e
m
i
c
a
l
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
o
f
t
h
e
B
i
s
h
o
p
T
u
f
f
a
n
d
o
t
h
e
r
h
i
g
h
-
s
i
l
i
c
a
m
a
g
m
a
s
t
h
r
o
u
g
h
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
p
r
o
c
e
s
s
e
s
:
G
e
o
l
o
g
y
,
v
.
1
1
,
p
.
3
1
-
3
4
.
,
1
9
8
3
b
,
C
o
m
m
e
n
t
a
n
d
r
e
p
l
y
o
n
'
C
h
e
m
i
c
a
l
d
i
f
f
e
r
e
n
t
i
a
t
i
o
n
o
f
t
h
e
B
i
s
h
o
p
T
u
f
f
a
n
d
o
t
h
e
r
h
i
g
h
-
s
i
l
i
c
a
m
a
g
m
a
s
t
h
r
o
u
g
h
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
p
r
o
c
e
s
s
e
s
'
:
G
e
o
l
o
g
y
,
v
.
1
1
,
p
.
6
2
2
-
6
2
4
.
 
,
1
9
8
8
,
P
a
r
t
i
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
f
o
r
r
a
r
e
e
a
r
t
h
e
l
e
m
e
n
t
s
i
n
m
a
f
i
c
m
i
n
e
r
a
l
s
o
f
h
i
g
h
s
i
l
i
c
a
r
h
y
o
l
i
t
e
s
:
T
h
e
i
m
p
o
r
t
a
n
c
e
o
f
a
c
c
e
s
s
o
r
y
m
i
n
e
r
a
l
i
n
c
l
u
s
i
o
n
s
:
G
e
o
c
h
i
m
i
c
a
e
t
C
o
s
m
o
c
h
i
m
i
c
a
A
c
t
a
,
v
.
5
2
,
p
.
2
7
5
-
2
8
2
.
 
3
2
6
M
i
l
l
s
,
J
.
G
.
,
J
r
.
,
a
n
d
R
o
s
e
,
T
.
P
.
,
1
9
8
6
,
G
e
o
c
h
e
m
i
s
t
r
y
o
f
g
l
a
s
s
y
p
u
m
i
c
e
s
f
r
o
m
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
,
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
:
E
O
S
,
T
r
a
n
s
a
c
t
i
o
n
s
,
A
m
e
r
i
c
a
n
G
e
o
p
h
y
s
i
c
a
l
U
n
i
o
n
,
v
.
6
7
,
p
.
1
2
6
2
.
M
i
l
l
s
,
J
.
G
.
,
J
r
.
a
n
d
V
o
g
e
l
,
T
.
A
.
,
1
9
8
8
,
C
o
m
p
o
s
i
t
i
o
n
a
l
i
n
t
e
r
f
a
c
e
s
i
n
m
a
g
m
a
b
o
d
i
e
s
:
G
e
o
t
h
e
r
m
o
m
e
t
r
y
o
f
F
e
-
T
i
o
x
i
d
e
s
i
n
g
l
a
s
s
y
p
u
m
i
c
e
f
r
a
g
m
e
n
t
s
:
E
O
S
,
T
r
a
n
s
a
c
t
i
o
n
s
,
A
m
e
r
i
c
a
n
G
e
o
p
h
y
s
i
c
a
l
U
n
i
o
n
,
v
.
6
9
,
p
.
5
2
6
.
M
i
l
l
s
,
J
.
G
.
,
J
r
.
a
n
d
R
o
s
e
,
T
.
P
.
,
1
9
9
1
,
M
a
n
g
a
n
o
a
n
f
a
y
a
l
i
t
e
(
(
F
e
,
M
n
)
Z
S
i
O
4
)
:
A
n
e
w
o
c
c
u
r
r
e
n
c
e
i
n
r
h
y
o
l
i
t
i
c
a
s
h
-
f
l
o
w
t
u
f
f
,
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
,
U
.
S
.
A
.
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
(
i
n
p
r
e
s
s
)
.
M
i
l
l
s
,
J
.
G
.
,
J
r
.
,
S
c
h
u
r
a
y
t
z
,
B
.
C
.
,
F
l
o
o
d
,
T
.
P
.
,
R
o
s
e
,
T
.
P
.
,
a
n
d
V
o
g
e
l
,
T
.
A
.
,
1
9
8
7
,
E
v
o
l
u
t
i
o
n
o
f
a
z
o
n
e
d
m
a
g
m
a
t
i
c
s
y
s
t
e
m
i
n
t
h
e
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
v
o
l
c
a
n
i
c
f
i
e
l
d
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
,
A
b
s
t
r
a
c
t
s
w
i
t
h
P
r
o
g
r
a
m
s
,
v
.
1
9
,
p
.
7
7
3
.
M
o
s
s
m
a
n
,
D
.
J
.
,
a
n
d
P
a
w
s
o
n
,
D
.
J
.
,
1
9
7
6
,
X
-
r
a
y
a
n
d
o
p
t
i
c
a
l
c
h
a
r
a
c
t
e
r
i
z
a
t
i
o
n
o
f
t
h
e
f
o
r
s
t
e
r
i
t
e
-
f
a
y
a
l
i
t
e
-
t
e
p
h
r
o
i
t
e
s
e
r
i
e
s
w
i
t
h
c
o
m
m
e
n
t
s
o
n
k
n
e
b
e
l
i
t
e
f
r
o
m
B
l
u
e
b
e
l
l
M
i
n
e
,
B
r
i
t
i
s
h
C
o
l
u
m
b
i
a
:
C
a
n
a
d
i
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
1
4
,
p
.
4
7
9
-
4
8
6
.
N
a
s
h
,
W
.
P
.
,
a
n
d
C
r
e
c
r
a
f
t
,
H
.
R
.
,
1
9
8
5
,
P
a
r
t
i
t
i
o
n
c
o
e
f
f
i
c
e
n
t
s
f
o
r
t
h
e
t
r
a
c
e
e
l
e
m
e
n
t
s
i
n
s
i
l
i
c
i
c
m
a
g
m
a
s
:
G
e
o
c
h
i
m
i
c
a
e
t
C
o
s
m
o
c
h
i
m
i
c
a
A
c
t
a
,
v
.
4
9
,
p
.
2
3
0
9
-
2
3
2
2
.
N
e
w
m
a
n
,
S
.
,
E
p
s
t
e
i
n
,
S
.
,
a
n
d
S
t
o
l
p
e
r
,
E
.
,
1
9
8
8
,
W
a
t
e
r
,
c
a
r
b
o
n
d
i
o
x
i
d
e
,
a
n
d
h
y
d
r
o
g
e
n
i
s
o
t
o
p
e
s
i
n
g
l
a
s
s
e
s
f
r
o
m
t
h
e
c
a
.
1
3
4
0
A
.
D
.
e
r
u
p
t
i
o
n
o
f
t
h
e
M
o
n
o
C
r
a
t
e
r
s
,
C
a
l
i
f
o
r
n
i
a
:
C
o
n
s
t
r
a
i
n
t
s
o
n
d
e
g
a
s
s
i
n
g
p
h
e
n
o
m
e
n
a
a
n
d
i
n
i
t
i
a
l
v
o
l
a
t
i
l
e
c
o
n
t
e
n
t
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
3
5
,
p
.
7
5
-
9
6
.
N
i
l
s
o
n
,
R
.
H
.
,
M
c
B
i
r
n
e
y
,
A
.
R
.
,
a
n
d
B
a
k
e
r
,
B
.
H
.
,
1
9
8
5
,
L
i
q
u
i
d
f
r
a
c
t
i
o
n
a
t
i
o
n
,
P
a
r
t
I
I
:
F
l
u
i
d
d
y
n
a
m
i
c
s
a
n
d
q
u
a
n
t
i
t
a
t
i
v
e
i
m
p
l
i
c
a
t
i
o
n
s
f
o
r
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
2
4
,
p
.
2
5
-
5
4
.
N
o
b
l
e
,
D
.
C
.
,
1
9
6
5
,
G
o
l
d
F
l
a
t
M
e
m
b
e
r
o
f
t
h
e
T
h
i
r
s
t
y
C
a
n
y
o
n
T
u
f
f
-
A
p
a
n
t
e
l
l
e
r
i
t
e
a
s
h
-
f
l
o
w
s
h
e
e
t
i
n
s
o
u
t
h
e
r
n
N
e
v
a
d
a
;
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
P
r
o
f
e
s
s
i
o
n
a
l
P
a
p
e
r
,
5
2
5
-
B
,
p
.
8
5
-
9
0
.
,
1
9
6
7
,
S
o
d
i
u
m
,
p
o
t
a
s
s
i
u
m
,
a
n
d
f
e
r
r
o
u
s
i
r
o
n
c
o
n
t
e
n
t
s
o
f
s
o
m
e
s
e
c
o
n
d
a
r
i
l
y
h
y
d
r
a
t
e
d
n
a
t
u
r
a
l
s
i
l
i
c
i
c
g
l
a
s
s
e
s
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
5
2
,
p
.
2
8
0
-
2
8
6
.
 
3
2
7
N
o
b
l
e
,
D
.
C
.
a
n
d
C
h
r
i
s
t
i
a
n
s
e
n
,
R
.
L
.
,
1
9
6
8
,
G
e
o
l
o
g
i
c
m
a
p
o
f
t
h
e
s
o
u
t
h
w
e
s
t
q
u
a
r
t
e
r
o
f
t
h
e
B
l
a
c
k
M
o
u
n
t
a
i
n
q
u
a
d
r
a
n
g
l
e
,
N
y
e
C
o
u
n
t
y
,
N
e
v
a
d
a
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
,
M
i
s
c
e
l
l
a
n
e
o
u
s
G
e
o
l
o
g
i
c
a
l
I
n
v
e
s
t
i
g
a
t
i
o
n
s
M
a
p
,
I
-
5
6
2
.
,
1
9
7
4
,
B
l
a
c
k
M
o
u
n
t
a
i
n
v
o
l
c
a
n
i
c
c
e
n
t
e
r
,
G
u
i
d
e
b
o
o
k
t
o
t
h
e
g
e
o
l
o
g
y
o
f
f
o
u
r
T
e
r
t
i
a
r
y
v
o
l
c
a
n
i
c
c
e
n
t
e
r
s
i
n
c
e
n
t
r
a
l
N
e
v
a
d
a
:
N
e
v
a
d
a
B
u
r
e
a
u
o
f
M
i
n
e
s
G
e
o
l
o
g
i
c
R
e
p
o
r
t
1
9
,
p
.
2
7
-
3
4
.
 
N
o
b
l
e
,
D
.
C
.
,
K
r
u
s
h
e
n
s
k
y
,
R
.
D
.
,
M
c
K
a
y
,
E
.
J
.
,
a
n
d
E
g
e
,
J
.
R
.
,
1
9
6
7
,
G
e
o
l
o
g
i
c
m
a
p
o
f
t
h
e
D
e
a
d
H
o
r
s
e
F
l
a
t
q
u
a
d
r
a
n
g
l
e
,
N
y
e
C
o
u
n
t
y
,
N
e
v
a
d
a
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
G
e
o
l
o
g
i
c
Q
u
a
d
r
a
n
g
l
e
M
a
p
G
Q
-
6
1
4
.
N
o
b
l
e
,
D
.
C
.
,
S
a
r
g
e
n
t
,
K
.
A
.
,
M
e
h
n
e
r
t
,
H
.
H
.
,
E
k
r
e
n
,
E
.
B
.
,
a
n
d
B
y
e
r
s
,
J
r
.
,
F
.
M
.
,
1
9
6
8
,
S
i
l
e
n
t
C
a
n
y
o
n
v
o
l
c
a
n
i
c
c
e
n
t
e
r
,
N
y
e
C
o
u
n
t
y
,
N
e
v
a
d
a
,
S
t
u
d
i
e
s
o
f
G
e
o
l
o
g
y
a
n
d
H
y
d
r
o
l
o
g
y
,
N
e
v
a
d
a
T
e
s
t
S
i
t
e
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
,
M
e
m
o
i
r
1
1
0
,
p
.
6
5
-
7
5
.
N
o
b
l
e
,
D
.
C
.
,
D
r
a
k
e
,
J
.
C
.
,
W
h
a
l
l
o
n
,
M
.
K
.
,
1
9
6
9
,
S
o
m
e
p
r
e
l
i
m
i
n
a
r
y
o
b
s
e
r
v
a
t
i
o
n
s
o
n
c
o
m
p
o
s
i
t
i
o
n
a
l
v
a
r
i
a
t
i
o
n
s
w
i
t
h
i
n
t
h
e
p
u
m
i
c
e
-
a
n
d
s
c
o
r
i
a
-
f
l
o
w
d
e
p
o
s
i
t
s
o
f
M
o
u
n
t
M
a
z
a
m
a
:
P
r
o
c
e
e
d
i
n
g
s
A
n
d
e
s
t
i
e
C
o
n
f
e
r
e
n
c
e
,
S
t
a
t
e
o
f
O
r
e
g
o
n
D
e
p
a
r
t
m
e
n
t
G
e
o
l
o
g
y
a
n
d
M
i
n
e
r
a
l
I
n
d
u
s
t
r
i
e
s
,
p
.
1
5
7
-
1
6
4
.
P
e
r
c
h
u
c
k
,
L
.
L
.
a
n
d
R
y
a
b
c
h
i
k
o
v
,
I
.
D
.
,
1
9
6
8
,
M
i
n
e
r
a
l
e
q
u
i
l
i
b
r
i
a
i
n
t
h
e
s
y
s
t
e
m
n
e
p
h
e
l
i
n
e
-
a
l
k
a
l
i
f
e
l
d
s
p
a
r
-
p
l
a
g
i
o
c
l
a
s
e
a
n
d
t
h
e
i
r
p
e
t
r
o
l
o
g
i
c
a
l
s
i
g
n
i
f
i
c
a
n
c
e
:
J
o
u
r
n
a
l
o
f
P
e
t
r
o
l
o
g
y
,
v
.
9
,
p
.
1
2
3
-
1
6
7
.
P
h
i
l
l
i
p
s
.
W
.
R
.
,
a
n
d
G
r
i
f
f
e
n
,
D
.
T
.
,
1
9
8
1
,
O
p
t
i
c
a
l
m
i
n
e
r
a
l
o
g
y
:
T
h
e
n
o
n
o
p
a
q
u
e
m
i
n
e
r
a
l
s
:
W
.
H
.
F
r
e
e
m
a
n
a
n
d
C
o
m
p
a
n
y
,
S
a
n
F
r
a
n
c
i
s
c
o
,
6
7
7
p
.
R
a
n
s
o
m
e
,
F
.
L
.
,
E
m
m
o
n
s
,
W
.
H
.
,
a
n
d
G
a
r
r
e
y
,
G
.
E
.
,
1
9
1
0
,
G
e
o
l
o
g
y
a
n
d
o
r
e
d
e
p
o
s
i
t
s
o
f
t
h
e
B
u
l
l
f
r
o
g
d
i
s
t
r
i
c
t
,
N
e
v
a
d
a
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
B
u
l
l
e
t
i
n
4
0
7
,
1
3
0
p
.
R
a
t
t
e
,
J
.
C
.
,
a
n
d
S
t
e
v
e
n
,
T
.
A
.
,
1
9
6
7
,
A
s
h
f
l
o
w
s
a
n
d
r
e
l
a
t
e
d
v
o
l
c
a
n
i
c
r
o
c
k
s
a
s
s
o
c
i
a
t
e
d
w
i
t
h
t
h
e
C
r
e
e
d
e
c
a
l
d
e
r
a
,
S
a
n
J
u
a
n
M
o
u
n
t
a
i
n
s
,
C
o
l
o
r
a
d
o
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
P
r
o
f
e
s
s
i
o
n
a
l
P
a
p
e
r
5
2
4
-
H
,
5
8
p
.
R
e
y
n
o
l
d
s
,
R
.
C
.
,
J
r
.
,
1
9
6
3
,
M
a
t
r
i
x
c
o
r
r
e
c
t
i
o
n
s
i
n
t
r
a
c
e
e
l
e
m
e
n
t
a
n
a
l
y
s
i
s
b
y
X
-
r
a
y
f
l
u
o
r
e
s
c
e
n
c
e
:
E
s
t
i
m
a
t
i
o
n
o
f
t
h
e
m
a
s
s
a
b
s
o
r
p
t
i
o
n
c
o
e
f
f
e
c
i
e
n
t
b
y
C
o
m
p
t
o
n
s
c
a
t
t
e
r
i
n
g
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
4
8
,
p
.
1
1
3
3
-
1
1
4
3
.
R
e
y
n
o
l
d
s
,
R
.
C
.
,
J
r
.
,
1
9
6
7
,
E
s
t
i
m
a
t
i
o
n
o
f
m
a
s
s
a
b
s
o
r
p
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
s
b
y
C
o
m
p
t
o
n
s
c
a
t
t
e
r
i
n
g
:
I
m
p
r
o
v
e
m
e
n
t
s
a
n
d
e
x
t
e
n
s
i
o
n
s
o
f
t
h
e
m
e
t
h
o
d
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
5
2
,
p
.
1
4
9
3
-
1
5
0
2
.
3
2
8
R
o
s
s
,
C
.
S
.
,
a
n
d
S
m
i
t
h
,
R
.
L
,
1
9
6
1
,
A
s
h
-
f
l
o
w
t
u
f
f
s
-
t
h
e
i
r
o
r
i
g
i
n
,
g
e
o
l
o
g
i
c
r
e
l
a
t
i
o
n
s
a
n
d
i
d
e
n
t
i
f
i
c
a
t
i
o
n
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
P
r
o
f
e
s
s
i
o
n
a
l
P
a
p
e
r
3
6
6
,
8
1
p
.
R
o
s
e
,
T
.
P
.
,
1
9
8
8
,
A
m
o
d
e
l
f
o
r
t
h
e
o
r
i
g
i
n
o
f
t
h
e
c
h
e
m
i
c
a
l
l
y
z
o
n
e
d
A
m
m
o
n
i
a
T
a
n
k
s
M
e
m
b
e
r
o
f
t
h
e
T
i
m
b
e
r
M
o
u
n
t
a
i
n
T
u
f
f
d
u
e
t
o
c
r
y
s
t
a
l
f
r
a
c
t
i
o
n
a
t
i
o
n
[
M
.
S
.
T
h
e
s
i
s
]
:
E
a
s
t
L
a
n
s
i
n
g
,
M
i
c
h
i
g
a
n
,
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
,
7
2
p
.
R
u
m
b
l
e
,
D
.
,
1
9
6
9
,
T
h
e
r
m
o
d
y
n
a
m
i
c
a
n
a
l
y
s
i
s
o
f
p
h
a
s
e
e
q
u
i
l
i
b
r
i
a
i
n
t
h
e
s
y
s
t
e
m
F
e
Z
T
i
O
4
-
F
e
3
O
4
-
T
i
0
2
:
C
a
r
n
e
g
i
e
I
n
s
t
i
t
u
t
i
o
n
o
f
W
a
s
h
i
n
g
t
o
n
Y
e
a
r
b
o
o
k
,
v
.
6
9
,
p
.
1
9
8
-
2
0
7
.
S
a
w
y
e
r
,
D
.
A
.
,
a
n
d
S
a
r
g
e
n
t
,
K
.
A
.
,
1
9
8
9
,
P
e
t
r
o
l
o
g
i
c
e
v
o
l
u
t
i
o
n
o
f
d
i
v
e
r
g
e
n
t
p
e
r
a
l
k
a
l
i
n
e
m
a
g
m
a
s
f
r
o
m
t
h
e
S
i
l
e
n
t
C
a
n
y
o
n
C
a
l
d
e
r
c
o
m
p
l
e
x
,
S
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
V
o
l
c
a
n
i
c
F
i
e
l
d
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
9
4
,
p
.
6
0
2
1
-
6
0
4
0
.
S
c
h
u
r
a
t
y
z
,
B
.
C
.
,
1
9
8
8
,
G
e
o
c
h
e
m
i
c
a
l
g
r
a
d
i
e
n
t
s
i
n
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
M
e
m
b
e
r
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
:
E
v
i
d
e
n
c
e
f
o
r
e
r
u
p
t
i
o
n
a
c
r
o
s
s
a
m
a
g
m
a
t
i
c
i
n
t
e
r
f
a
c
e
[
P
h
.
D
.
T
h
e
s
i
s
]
:
E
a
s
t
L
a
n
s
i
n
g
,
M
i
c
h
i
g
a
n
,
M
i
c
h
i
g
a
n
S
t
a
t
e
U
n
i
v
e
r
s
i
t
y
,
1
4
8
p
.
S
c
h
u
r
a
y
t
z
,
B
.
C
.
,
V
o
g
e
l
,
T
.
A
.
,
a
n
d
Y
o
u
n
k
e
r
,
L
.
W
.
,
1
9
8
6
,
G
e
o
c
h
e
m
i
c
a
l
g
r
a
d
i
e
n
t
s
i
n
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
M
e
m
b
e
r
o
f
t
h
e
P
a
i
n
t
b
r
u
s
h
T
u
f
f
:
E
v
i
d
e
n
c
e
f
o
r
e
r
u
p
t
i
o
n
a
c
r
o
s
s
a
m
a
g
m
a
t
i
c
i
n
t
e
r
f
a
c
e
:
L
a
w
r
e
n
c
e
L
i
v
e
r
m
o
r
e
N
a
t
i
o
n
a
l
L
a
b
o
r
a
t
o
r
y
R
e
p
o
r
t
U
C
R
L
-
5
3
6
9
8
,
5
9
p
.
,
1
9
8
9
,
E
v
i
d
e
n
c
e
f
o
r
d
y
n
a
m
i
c
w
i
t
h
d
r
a
w
a
l
f
r
o
m
a
l
a
y
e
r
e
d
m
a
g
m
a
b
o
d
y
:
T
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
T
u
f
f
,
s
o
u
r
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
9
4
,
n
o
.
B
S
,
p
.
5
9
2
5
-
5
9
4
2
.
 
S
c
o
t
t
,
R
.
B
.
,
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
a
n
d
W
a
r
r
e
n
,
R
.
G
.
,
1
9
8
4
,
E
v
o
l
u
t
i
o
n
o
f
m
a
g
m
a
b
e
l
o
w
c
l
u
s
t
e
r
e
d
c
a
l
d
e
r
a
s
,
s
o
u
t
h
w
e
s
t
N
e
v
a
d
a
v
o
l
c
a
n
i
c
f
i
e
l
d
:
E
O
S
,
T
r
a
n
s
a
c
t
i
o
n
s
,
A
m
e
r
i
c
a
n
G
e
o
p
h
y
s
i
c
a
l
U
n
i
o
n
,
v
.
6
5
,
n
o
.
4
5
,
p
.
1
1
2
6
-
1
1
2
7
.
S
m
i
t
h
,
A
.
L
.
,
1
9
7
0
,
S
p
h
e
n
e
,
p
e
r
o
v
s
k
i
t
e
a
n
d
c
o
-
e
x
i
s
t
i
n
g
F
e
-
T
i
o
x
i
d
e
m
i
n
e
r
a
l
s
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
5
5
,
p
.
2
6
4
-
2
6
9
.
S
m
i
t
h
,
R
.
L
.
,
1
9
6
0
a
,
A
s
h
f
l
o
w
s
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
B
u
l
l
e
t
i
n
,
v
.
7
1
,
p
.
7
9
5
-
8
4
2
.
,
1
9
6
0
b
,
Z
o
n
e
s
a
n
d
z
o
n
a
l
v
a
r
i
a
t
i
o
n
s
i
n
w
e
l
d
e
d
a
s
h
f
l
o
w
s
:
U
.
S
.
G
e
o
l
o
g
i
c
a
l
S
u
r
v
e
y
P
r
o
f
e
s
s
i
o
n
a
l
P
a
p
e
r
3
5
4
-
F
,
p
.
1
4
9
-
1
5
9
.
 
,
1
9
7
9
,
A
s
h
-
f
l
o
w
m
a
g
m
a
t
i
s
m
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
S
p
e
c
i
a
l
P
a
p
e
r
1
8
0
,
p
.
5
-
2
7
.
 
3
2
9
S
n
y
d
e
r
,
W
.
S
.
,
D
i
c
k
i
n
s
o
n
,
W
.
R
.
,
a
n
d
S
i
l
b
e
r
m
a
n
,
M
.
L
.
,
1
9
7
6
,
T
e
c
t
o
n
i
c
i
m
p
l
i
c
a
t
i
o
n
s
o
f
s
p
a
c
e
-
t
i
m
e
p
a
t
t
e
r
n
s
o
f
C
e
n
o
z
o
i
c
m
a
g
m
a
t
i
s
m
i
n
t
h
e
w
e
s
t
e
r
n
U
n
i
t
e
d
S
t
a
t
e
s
:
E
a
r
t
h
a
n
d
P
l
a
n
e
t
a
r
y
S
c
i
e
n
c
e
L
e
t
t
e
r
s
,
v
.
3
2
,
p
.
9
1
-
1
0
6
.
S
p
a
r
k
s
,
R
.
S
.
J
.
,
a
n
d
W
a
l
k
e
r
,
G
.
P
.
L
.
,
1
9
7
7
,
T
h
e
s
i
g
n
i
f
i
c
a
n
c
e
o
f
v
i
t
r
i
c
-
e
n
r
i
c
h
e
d
a
i
r
-
f
a
l
l
a
s
h
e
s
a
s
s
o
c
i
a
t
e
d
w
i
t
h
c
r
y
s
t
a
l
-
e
n
r
i
c
h
e
d
i
g
n
i
m
b
r
i
t
e
s
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
2
,
p
.
3
2
9
-
3
4
1
.
S
p
a
r
k
s
,
R
.
S
.
J
.
,
H
u
p
p
e
r
t
,
H
.
E
.
,
a
n
d
T
u
r
n
e
r
,
J
.
S
.
,
1
9
8
4
,
T
h
e
f
l
u
i
d
d
y
n
a
m
i
c
s
o
f
e
v
o
l
v
i
n
g
m
a
g
m
a
c
h
a
m
b
e
r
s
:
P
h
i
l
o
s
o
p
h
i
c
a
l
T
r
a
n
s
a
c
t
i
o
n
s
R
o
y
a
l
S
o
c
i
e
t
y
o
f
L
o
n
d
o
n
,
v
.
A
3
1
0
,
p
.
5
1
1
-
5
3
4
.
S
p
e
l
l
,
T
.
L
.
,
a
n
d
K
y
l
e
,
P
.
R
.
,
1
9
8
9
,
P
e
t
r
o
g
e
n
e
s
i
s
o
f
V
a
l
l
e
G
r
a
n
d
e
M
e
m
b
e
r
r
h
y
o
l
i
t
e
s
,
V
a
l
e
s
C
a
l
d
e
r
a
,
N
e
w
M
e
x
i
c
o
:
I
m
p
l
i
c
a
t
i
o
n
s
f
o
r
e
v
o
l
u
t
i
o
n
o
f
t
h
e
J
e
m
e
z
M
o
u
n
t
a
i
n
s
m
a
g
m
a
t
i
c
s
y
s
t
e
m
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
9
4
,
n
o
.
B
8
,
p
.
1
0
3
7
9
-
1
0
3
9
6
.
S
p
e
r
a
,
F
.
J
.
,
Y
u
e
n
,
D
.
A
.
,
G
r
e
e
r
,
J
.
C
.
,
a
n
d
S
e
w
e
l
l
,
G
.
,
1
9
8
6
,
D
y
n
a
m
i
c
s
o
f
m
a
g
m
a
w
i
t
h
d
r
a
w
l
f
r
o
m
s
t
r
a
t
i
f
i
e
d
m
a
g
m
a
c
h
a
m
b
e
r
s
:
G
e
o
l
o
g
y
,
v
.
1
4
,
n
o
.
9
,
p
.
7
2
3
-
7
2
6
.
S
t
o
r
m
e
r
,
J
.
C
.
,
J
r
.
,
1
9
7
5
,
A
p
r
a
c
t
i
c
a
l
t
w
o
-
f
e
l
d
s
p
a
r
g
e
o
t
h
e
r
m
o
m
e
t
e
r
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
6
0
,
p
.
6
6
7
-
6
7
4
.
,
J
r
.
,
1
9
8
3
,
T
h
e
e
f
f
e
c
t
s
o
f
r
e
c
a
l
c
u
l
a
t
i
o
n
o
n
e
s
t
i
m
a
t
e
s
o
f
t
e
m
p
e
r
a
t
u
r
e
a
n
d
o
x
y
g
e
n
f
u
g
a
c
i
t
y
f
r
o
m
a
n
a
l
y
s
e
s
o
f
m
u
l
t
i
c
o
m
p
o
n
e
n
t
i
r
o
n
-
t
i
t
a
n
i
u
m
o
x
i
d
e
s
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
6
8
,
p
.
5
8
6
-
5
9
4
.
 
S
t
o
r
m
e
r
,
J
.
C
.
,
a
n
d
W
h
i
t
n
e
y
,
J
.
A
.
,
1
9
8
5
,
T
w
o
f
e
l
d
s
p
a
r
a
n
d
i
r
o
n
-
t
i
t
a
n
i
u
m
o
x
i
d
e
e
q
u
i
l
i
b
r
i
a
i
n
s
i
l
i
c
i
c
m
a
g
m
a
s
a
n
d
t
h
e
d
e
p
t
h
o
f
o
r
i
g
i
n
o
f
l
a
r
g
e
v
o
l
u
m
e
a
s
h
-
f
l
o
w
t
u
f
f
s
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
7
0
,
p
.
5
2
-
6
4
.
T
e
g
t
m
e
y
e
r
,
K
.
J
.
,
F
a
r
m
e
r
,
G
.
L
.
,
a
n
d
B
r
o
x
t
o
n
,
D
.
E
.
,
1
9
8
9
,
I
s
o
t
o
p
i
c
e
v
i
d
e
n
c
e
f
o
r
t
h
e
o
r
i
g
i
n
o
f
L
a
t
e
T
e
r
t
i
a
r
y
m
e
t
a
l
u
m
i
n
o
u
s
a
n
d
p
e
r
a
l
k
a
l
i
n
e
r
h
y
o
l
i
t
e
s
f
r
o
m
t
h
e
G
r
e
a
t
B
a
s
i
n
,
w
e
s
t
e
r
n
U
.
S
.
:
N
e
w
M
e
x
i
c
o
B
u
r
e
a
u
o
f
M
i
n
e
s
a
n
d
M
i
n
e
r
a
l
R
e
s
o
u
r
c
e
s
B
u
l
l
e
t
i
n
1
3
1
,
C
o
n
t
i
n
e
n
t
a
l
M
a
g
m
a
t
i
s
m
(
a
b
s
t
r
a
c
t
s
)
,
p
.
2
6
6
.
T
h
o
m
p
s
o
n
,
R
.
N
.
,
M
o
r
r
i
s
o
n
,
M
.
A
.
,
H
e
n
d
r
y
,
G
.
L
.
,
a
n
d
P
a
r
r
y
,
S
.
J
.
,
1
9
8
4
,
A
n
a
s
s
e
s
s
m
e
n
t
o
f
t
h
e
r
e
l
a
t
i
v
e
r
o
l
e
s
o
f
a
c
r
u
s
t
a
n
d
m
a
n
t
l
e
i
n
m
a
g
m
a
g
e
n
e
s
i
s
:
a
n
e
l
e
m
e
n
t
a
l
a
p
p
r
o
a
c
h
:
P
h
i
l
o
s
o
p
h
i
c
a
l
T
r
a
n
s
a
c
t
i
o
n
s
o
f
t
h
e
R
o
y
a
l
S
o
c
i
e
t
y
o
f
L
o
n
d
o
n
,
A
3
1
0
,
p
.
5
4
9
-
5
9
0
.
3
3
0
V
e
r
h
o
o
g
e
n
,
J
.
,
1
9
6
2
,
D
i
s
t
r
i
b
u
t
i
o
n
o
f
t
i
t
a
n
i
u
m
b
e
t
w
e
e
n
s
i
l
i
c
a
t
e
s
a
n
d
o
x
i
d
e
s
i
n
i
g
n
e
o
u
s
r
o
c
k
s
:
A
m
e
r
i
c
a
n
J
o
u
r
n
a
l
o
f
S
c
i
e
n
c
e
,
v
.
2
6
0
,
p
.
2
1
1
-
2
2
0
.
V
o
g
e
l
,
T
.
A
.
,
M
i
l
l
s
,
J
.
G
.
,
J
r
.
,
A
i
n
e
s
,
R
.
D
.
a
n
d
M
e
r
z
b
a
c
h
e
r
,
C
.
I
.
,
1
9
8
9
,
P
r
e
-
e
r
u
p
t
i
v
e
v
o
l
a
t
i
l
e
s
i
n
a
c
h
e
m
i
c
a
l
l
y
z
o
n
e
d
m
a
g
m
a
b
o
d
y
b
a
s
e
d
o
n
m
e
l
t
i
n
c
l
u
s
i
o
n
s
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
,
A
b
s
t
r
a
c
t
s
w
i
t
h
P
r
o
g
r
a
m
s
,
v
.
2
1
,
n
o
.
6
,
p
.
A
2
7
1
.
V
o
g
e
l
,
T
.
A
.
,
N
o
b
l
e
,
D
.
C
.
,
a
n
d
Y
o
u
n
k
e
r
,
L
.
W
.
,
1
9
8
3
,
C
h
e
m
i
c
a
l
e
v
o
l
u
t
i
o
n
o
f
a
h
i
g
h
-
l
e
v
e
l
m
a
g
m
a
s
y
s
t
e
m
:
T
h
e
B
l
a
c
k
M
o
u
n
t
a
i
n
v
o
l
c
a
n
i
c
c
e
n
t
e
r
,
s
o
u
t
h
e
r
n
N
e
v
a
d
a
:
L
a
w
r
e
n
c
e
L
i
v
e
r
m
o
r
e
N
a
t
i
o
n
a
l
L
a
b
o
r
a
t
o
r
y
R
e
p
o
r
t
U
C
R
L
-
5
3
4
4
4
,
_
4
9
p
.
V
o
g
e
l
,
T
.
A
.
,
M
i
l
l
s
,
J
.
G
.
,
S
c
h
u
r
a
y
t
z
,
B
.
C
.
,
F
l
o
o
d
,
T
.
P
.
,
R
o
s
e
,
T
.
P
.
,
a
n
d
Y
o
u
n
k
e
r
,
L
.
W
.
,
1
9
8
8
,
Z
o
n
e
d
m
a
g
m
a
b
o
d
i
e
s
:
F
r
a
c
t
i
o
n
a
l
c
r
y
s
t
a
l
l
i
z
a
t
i
o
n
o
f
h
o
m
o
g
e
n
e
o
u
s
m
a
g
m
a
s
o
r
m
e
l
t
i
n
g
o
f
i
n
d
e
p
e
n
d
a
n
t
s
o
u
r
c
e
s
?
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
,
A
b
s
t
r
a
c
t
s
w
i
t
h
P
r
o
g
r
a
m
s
,
v
.
2
0
,
n
o
.
7
,
p
.
A
3
1
3
.
W
a
l
k
e
r
,
G
.
P
.
L
,
1
9
7
2
,
C
r
y
s
t
a
l
c
o
n
c
e
n
t
r
a
t
i
o
n
i
n
i
g
n
i
m
b
r
i
t
e
s
:
C
o
n
t
r
i
b
u
t
i
o
n
s
t
o
M
i
n
e
r
a
l
o
g
y
a
n
d
P
e
t
r
o
l
o
g
y
,
v
.
3
6
,
p
.
1
3
5
-
1
4
6
.
W
a
r
r
e
n
,
R
.
G
.
,
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
a
n
d
C
a
p
o
r
u
s
i
o
,
F
.
A
.
,
1
9
8
4
,
P
e
t
r
o
g
r
a
p
h
y
a
n
d
m
i
n
e
r
a
l
c
h
e
m
i
s
t
r
y
o
f
u
n
i
t
s
o
f
t
h
e
T
o
p
o
p
a
h
S
p
r
i
n
g
,
C
a
l
i
c
o
H
i
l
l
s
a
n
d
C
r
a
t
e
r
F
l
a
t
t
u
f
f
s
,
a
n
d
o
l
d
e
r
v
o
l
c
a
n
i
c
u
n
i
t
s
,
w
i
t
h
e
m
p
h
a
s
i
s
o
n
s
a
m
p
l
e
s
f
r
o
m
d
r
i
l
l
h
o
l
e
U
S
W
G
-
l
,
Y
u
c
c
a
M
o
u
n
t
a
i
n
,
N
e
v
a
d
a
T
e
s
t
S
i
t
e
,
R
e
p
o
r
t
L
o
s
A
l
a
m
o
s
N
a
t
i
o
n
a
l
L
a
b
o
r
a
t
o
r
y
,
L
a
-
1
0
0
0
3
-
M
S
,
p
.
1
-
7
8
.
W
a
r
r
e
n
,
R
.
G
.
,
M
c
D
o
w
e
l
l
,
F
.
W
.
,
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
B
r
o
x
t
o
n
,
D
.
E
.
,
C
a
r
r
,
W
.
J
.
,
a
n
d
O
r
k
i
l
d
,
P
.
P
.
,
1
9
8
8
,
E
p
i
s
o
d
i
c
l
e
a
k
s
f
r
o
m
T
i
m
b
e
r
M
o
u
n
t
a
i
n
c
a
l
d
e
r
a
:
N
e
w
e
v
i
d
e
n
c
e
f
r
o
m
r
h
y
o
l
i
t
e
l
a
v
a
s
o
f
F
o
r
t
y
m
i
l
e
C
a
n
y
o
n
,
W
E
N
e
v
a
d
a
v
o
l
c
a
n
i
c
f
i
e
l
d
:
G
e
o
l
o
g
i
c
a
l
S
o
c
i
e
t
y
o
f
A
m
e
r
i
c
a
,
A
b
s
t
r
a
c
t
s
w
i
t
h
P
r
o
g
r
a
m
s
,
v
.
2
0
,
p
.
2
4
1
.
W
a
r
r
e
n
,
R
.
G
.
,
B
y
e
r
s
,
F
.
M
.
,
J
r
.
,
B
r
o
x
t
o
n
,
D
.
E
.
,
F
r
e
e
m
a
n
,
S
.
H
.
,
a
n
d
H
a
g
a
n
,
R
.
C
.
,
1
9
8
9
,
P
h
e
n
o
c
r
y
s
t
a
b
u
n
d
a
n
c
e
s
a
n
d
g
l
a
s
s
a
n
d
p
h
e
n
o
c
r
y
s
t
c
o
m
p
o
s
i
t
i
o
n
s
a
s
i
n
d
i
c
a
t
o
r
s
o
f
m
a
g
m
a
t
i
c
e
n
v
i
r
o
n
m
e
n
t
s
o
f
l
a
r
e
g
e
-
v
o
l
u
m
e
a
s
h
f
l
o
w
s
h
e
e
t
s
i
n
s
o
u
t
h
w
e
s
t
e
r
n
N
e
v
a
d
a
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
9
4
,
n
o
.
B
5
,
p
.
5
9
8
7
-
6
0
2
0
.
W
e
i
s
s
,
S
.
I
.
,
a
n
d
N
o
b
l
e
,
D
.
C
.
,
1
9
8
9
,
S
t
o
n
e
w
a
l
l
M
o
u
n
t
a
i
n
V
o
l
c
a
n
i
c
C
e
n
t
e
r
,
s
o
u
t
h
e
r
n
N
e
v
a
d
a
:
S
t
r
a
t
i
g
r
a
p
h
i
c
,
s
t
r
u
c
t
u
r
a
l
,
a
n
d
f
a
c
i
e
s
r
e
l
a
t
i
o
n
s
o
f
o
u
t
f
l
o
w
s
h
e
e
t
s
,
n
e
a
r
-
v
e
n
t
t
u
f
f
s
,
a
n
d
i
n
t
r
a
c
a
l
d
e
r
a
u
n
i
t
s
:
J
o
u
r
n
a
l
o
f
G
e
o
p
h
y
s
i
c
a
l
R
e
s
e
a
r
c
h
,
v
.
9
4
,
p
.
6
0
5
9
-
6
0
7
4
.
3
3
1
W
h
i
t
n
e
y
,
J
.
A
.
a
n
d
S
t
o
r
m
e
r
,
J
.
C
.
,
J
r
.
,
1
9
7
6
,
G
e
o
t
h
e
r
m
o
m
e
t
r
y
a
n
d
g
e
o
b
a
r
o
m
e
t
r
y
i
n
e
p
i
z
o
n
a
l
g
r
a
n
i
t
i
c
i
n
t
r
u
s
i
o
n
s
:
A
c
o
m
p
a
r
i
s
o
n
o
f
i
r
o
n
-
t
i
t
a
n
i
u
m
a
n
d
c
o
e
x
i
s
t
i
n
g
f
e
l
d
s
p
a
r
s
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
6
1
,
p
.
7
5
1
-
7
6
1
.
W
h
i
t
n
e
y
,
J
.
A
.
a
n
d
S
t
o
r
m
e
r
,
1
9
7
7
,
T
w
o
-
f
e
l
d
s
p
a
r
g
e
o
t
h
e
r
m
o
m
e
t
r
y
,
g
e
o
b
a
r
o
m
e
t
r
y
i
n
m
e
s
o
z
o
n
a
l
g
r
a
n
i
t
i
c
i
n
t
r
u
s
i
o
n
s
:
T
h
r
e
e
e
x
a
m
p
l
e
s
f
r
o
m
t
h
e
P
i
e
d
m
o
n
t
o
f
G
e
o
r
g
i
a
:
C
o
n
t
r
i
b
u
t
i
o
n
s
t
o
M
i
n
e
r
a
l
o
g
y
a
n
d
P
e
t
r
o
l
o
g
y
,
v
.
6
3
,
p
.
5
1
-
6
4
.
W
h
i
t
n
e
y
,
J
.
A
.
,
1
9
8
5
,
M
i
n
e
r
a
l
o
g
y
,
p
e
t
r
o
l
o
g
y
,
a
n
d
m
a
g
m
a
t
i
c
c
o
n
d
i
t
i
o
n
s
f
o
r
m
t
h
e
F
i
s
h
C
a
n
y
o
n
T
u
f
f
,
c
e
n
t
r
a
l
S
a
n
J
u
a
n
V
o
l
c
a
n
i
c
F
i
e
l
d
,
C
o
l
o
r
a
d
o
:
J
o
u
r
n
a
l
o
f
P
e
t
r
o
l
o
g
y
,
v
.
2
6
,
p
.
7
2
6
-
7
6
2
.
W
h
i
t
n
e
y
,
J
.
A
.
,
D
o
r
a
i
s
,
M
.
J
.
,
S
t
o
r
m
e
r
,
J
r
.
,
J
.
C
.
,
K
l
i
n
e
,
S
.
W
.
,
a
n
d
M
a
t
t
y
,
D
.
J
.
,
1
9
8
8
,
M
a
g
m
a
t
i
c
c
o
n
d
i
t
i
o
n
s
a
n
d
d
e
v
e
l
o
p
m
e
n
t
o
f
c
h
e
m
i
c
a
l
z
o
n
a
t
i
o
n
i
n
t
h
e
C
a
r
p
e
n
t
e
r
R
i
d
g
e
T
u
f
f
,
c
e
n
t
r
a
l
S
a
n
J
u
a
n
V
o
l
c
a
n
i
c
F
i
e
l
d
,
C
o
l
o
r
a
d
o
:
A
m
e
r
i
c
a
n
J
o
u
r
n
a
l
o
f
S
c
i
e
n
c
e
,
v
.
2
8
8
-
A
,
p
.
1
6
-
4
4
.
W
i
l
b
a
n
d
,
J
.
T
.
,
1
9
7
5
,
R
a
p
i
d
m
e
t
h
o
d
f
o
r
b
a
c
k
g
r
o
u
n
d
c
o
r
r
e
c
t
i
o
n
s
i
n
t
r
a
c
e
e
l
e
m
e
n
t
a
n
a
l
y
s
i
s
b
y
X
-
r
a
y
f
l
u
o
r
e
s
c
e
n
c
e
:
A
n
e
x
t
e
n
s
i
o
n
o
f
R
e
y
n
o
l
d
s
m
e
t
h
o
d
:
A
m
e
r
i
c
a
n
M
i
n
e
r
a
l
o
g
i
s
t
,
v
.
6
0
p
.
3
2
0
-
3
2
3
.
W
i
l
l
i
a
m
s
,
H
.
,
1
9
4
2
,
T
h
e
g
e
o
l
o
g
y
o
f
C
r
a
t
e
r
L
a
k
e
N
a
t
i
o
n
a
l
P
a
r
k
,
O
r
e
g
o
n
,
w
i
t
h
a
r
e
c
o
n
n
a
i
s
s
n
c
e
o
f
t
h
e
C
a
s
c
a
d
e
R
a
n
g
e
s
o
u
t
h
w
a
r
d
t
o
M
o
u
n
t
S
h
a
s
t
a
:
C
a
r
n
e
g
i
e
I
n
s
t
i
t
u
t
e
o
f
W
a
s
h
i
n
g
t
o
n
P
u
b
l
i
c
a
t
i
o
n
5
4
0
,
1
6
2
p
.
,
1
9
5
2
,
V
o
l
c
a
n
i
c
h
i
s
t
o
r
y
o
f
t
h
e
M
e
s
e
t
a
C
e
n
t
r
a
l
O
c
c
i
d
e
n
t
a
l
,
C
o
s
t
a
R
i
c
a
:
C
a
l
i
f
o
r
n
i
a
U
n
i
v
e
r
s
i
t
y
P
u
b
l
i
c
a
t
i
o
n
s
,
D
e
p
a
r
t
m
e
n
t
o
f
G
e
o
l
o
g
i
c
a
l
S
c
i
e
n
c
e
,
v
.
2
9
,
n
o
.
4
,
p
.
1
4
5
-
1
8
0
.
 
W
o
l
f
f
,
J
.
A
.
,
1
9
8
5
,
T
h
e
e
f
f
e
c
t
o
f
e
x
p
l
o
s
i
v
e
e
r
u
p
t
i
o
n
p
r
o
c
e
s
s
e
s
o
n
g
e
o
c
h
e
m
i
c
a
l
p
a
t
t
e
r
n
s
w
i
t
h
i
n
p
y
r
o
c
l
a
s
t
i
c
d
e
p
o
s
i
t
s
:
J
o
u
r
n
a
l
o
f
V
o
l
c
a
n
o
l
o
g
y
a
n
d
G
e
o
t
h
e
r
m
a
l
R
e
s
e
a
r
c
h
,
v
.
2
6
,
p
.
1
8
9
-
2
0
1
.
W
o
l
f
f
,
J
.
A
.
,
a
n
d
S
t
o
r
e
y
,
M
.
,
1
9
8
4
,
Z
o
n
i
n
g
i
n
h
i
g
h
l
y
a
l
k
a
l
i
n
e
m
a
g
m
a
b
o
d
i
e
s
:
G
e
o
l
o
g
i
c
a
l
M
a
g
a
z
i
n
e
,
v
.
1
2
1
,
p
.
5
6
3
-
5
7
5
.
W
o
n
e
s
,
D
.
R
.
,
1
9
6
6
,
M
i
n
e
r
a
l
o
g
i
c
a
l
i
n
d
i
c
a
t
o
r
s
o
f
r
e
l
a
t
i
v
e
o
x
i
d
a
t
i
o
n
s
t
a
t
e
s
o
f
m
a
g
m
a
t
i
c
s
y
s
t
e
m
s
:
T
r
a
n
s
a
c
t
i
o
n
s
,
A
m
e
r
i
c
a
n
G
e
o
p
h
y
s
i
c
a
l
U
n
i
o
n
,
v
.
4
7
,
p
.
2
1
6
.
Y
o
d
e
r
,
H
.
S
.
,
J
r
.
,
S
t
e
w
a
r
t
,
D
.
B
.
,
a
n
d
S
m
i
t
h
,
J
.
R
.
,
1
9
5
7
,
T
e
r
n
a
r
y
f
e
l
d
s
p
a
r
s
:
C
a
r
n
e
g
i
e
I
n
s
t
i
t
u
t
e
W
a
s
h
i
n
g
t
o
n
Y
e
a
r
B
o
o
k
,
v
.
5
6
,
p
.
2
0
6
-
2
1
4
.
3
3
2
Z
o
b
a
c
k
,
M
.
L
.
,
A
n
d
e
r
s
o
n
,
R
.
B
.
,
a
n
d
T
h
o
m
p
s
o
n
,
G
.
A
.
,
1
9
8
1
,
C
a
i
n
o
z
o
i
c
e
v
o
l
u
t
i
o
n
o
f
t
h
e
s
t
a
t
e
o
f
s
t
r
e
s
s
a
n
d
s
t
y
l
e
o
f
t
e
c
t
o
n
i
s
m
o
f
t
h
e
B
a
s
i
n
a
n
d
R
a
n
g
e
p
r
o
v
i
n
c
e
o
f
t
h
e
w
e
s
t
e
r
n
U
n
i
t
e
d
S
t
a
t
e
s
:
R
o
y
a
l
S
o
c
i
e
t
y
o
f
L
o
n
d
o
n
P
h
i
l
o
s
o
p
h
i
c
a
l
T
r
a
n
s
a
c
t
i
o
n
s
,
s
e
r
.
A
,
v
.
3
0
0
,
p
.
4
0
7
-
4
3
4
.