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Evokation
  
 
Index
  

 

 

NUCLEAR FAMILY 19769

 

 

 

 

 

 

 

THE

MAGICALALPHABET

 

..................

 

 

-
-
-
-
-
THE RAINBOW LIGHT
-
-
-
T
=
2
-
3
THE
33
15
6
R
=
9
-
7
RAINBOW
82
37
1
L
=
3
-
5
LIGHT
56
29
2
-
-
14
-
15
THE RAINBOW LIGHT
171
81
9
-
-
1+4
-
1+5
-
1+7+1
8+1
-
Q
-
5
-
6
THE RAINBOW LIGHT
9
9
9

 

 

 

 

 

 

 

THIS IS THE SCENE OF THE SCENE UNSEEN

THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE

 

 

3
THE
33
15
6
4
MIND
40
22
4
2
OF
21
12
3
9
HUMANKIND
95
41
5
18
First Total
189
90
18
1+8
Add to Reduce
1+8+9
9+0
1+8
9
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
9
Essence of Number
9
9
9

 

 

THE DIVINE COMEDY

OF

DANTE ALIGHIERI (1265-1321)

THE FLORENTINE

CANTICA I

HELL

(L'INFERNO)

INTRODUCTION

Page 9

"Midway this way of life we're bound upon

I woke to find myself in a dark wood,

Where the right road was wholly lost and gone."

 

 

M
=
4
-
6
MIDWAY
75
30
3
T
=
2
-
4
THIS
56
20
2
W
=
5
-
3
WAY
49
13
4
O
=
6
-
2
OF
21
12
3
L
=
3
-
4
LIFE
32
23
5
W
=
5
-
4
WE'RE
51
24
6
B
=
2
-
5
BOUND
56
20
2
U
=
3
-
4
UPON
66
21
3
-
-
30
-
32
-
406
163
28
-
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
W
=
5
-
4
WOKE
54
18
9
T
=
2
-
2
TO
35
8
8
F
=
6
-
4
FIND
33
24
6
M
=
4
-
6
MYSELF
80
26
8
I
=
9
-
2
IN
23
14
5
A
=
1
-
1
A
1
1
1
D
=
4
-
4
DARK
34
16
7
W
=
5
-
4
WOOD
57
21
3
-
-
45
-
28
-
326
137
56
-
-
-
-
-
-
-
-
-
W
=
5
-
5
WHERE
59
32
5
T
=
2
-
3
THE
33
15
6
R
=
9
-
5
RIGHT
62
35
8
R
=
9
-
4
ROAD
38
20
2
W
=
5
-
3
WAS
43
7
7
W
=
5
-
6
WHOLLY
95
32
5
L
=
3
-
4
LOST
66
12
3
A
=
1
-
3
AND
19
10
1
G
=
7
-
4
GONE
41
23
5
-
-
46
-
37
-
456
186
42
-
-
-
-
-
-
-
-
-
-
-
121
-
97
First Total
1188
486
126
-
-
1+2+1
-
9+7
Add to Reduce
1+1+8+8
4+8+6
1+2+6
Q
-
4
-
16
Second Total
18
18
9
-
-
-
-
1+6
Reduce to Deduce
1+8
1+8
-
-
-
4
-
7
Essence of Number
9
9
9

 

 

THE DIVINE COMEDY

OF

DANTE ALIGHIERI (1265-1321)

THE FLORENTINE

CANTICA I

HELL

(L'INFERNO)

INTRODUCTION

Page 9

"Power failed high fantasy here; yet, swift to move

Even as a wheel moves equal, free from jars,

Already my heart and will were wheeled by love,

The Love that moves the sun and other stars."

 

P
=
7
-
5
POWER
77
32
5
F
=
6
-
6
FAILED
37
28
1
H
=
8
-
4
HIGH
32
32
5
F
=
6
-
7
FANTASY
86
23
5
H
=
8
-
4
HERE
36
27
9
Y
=
7
-
3
YET
50
14
5
S
=
1
-
5
SWIFT
77
23
5
T
=
2
-
2
TO
35
8
8
M
=
4
-
4
MOVE
55
19
1
-
-
49
-
40
First Total
485
206
44
-
-
4+9
-
4+0
Add to Reduce
4+8+5
2+0+6
4+4
Q
-
13
-
4
Second Total
17
8
8
-
-
1+3
-
-
Reduce to Deduce
1+7
-
-
-
-
4
-
4
Essence of Number
8
8
8

 

 

E
=
5
-
4
EVEN
46
19
1
A
=
1
-
2
AS
20
2
2
A
=
1
-
1
A
1
1
1
W
=
5
-
5
WHEEL
53
26
8
M
=
4
-
5
MOVES
74
20
2
E
=
5
-
5
EQUAL
56
20
2
F
=
6
-
4
FREE
34
25
7
F
=
6
-
4
FROM
52
25
7
J
=
1
-
4
JARS
48
12
3
-
-
34
-
34
First Total
384
150
33
-
-
3+4
-
3+4
Add to Reduce
3+8+4
1+5+0
3+3
Q
-
7
-
7
Second Total
15
6
6
-
-
-
-
-
Reduce to Deduce
1+5
-
-
-
-
7
-
7
Essence of Number
6
6
6

 

 

A
=
1
-
7
ALREADY
66
30
3
M
=
4
-
2
MY
38
11
2
H
=
8
-
5
HEART
52
25
7
A
=
1
-
3
AND
19
10
1
W
=
5
-
4
WILL
56
20
2
W
=
5
-
4
WERE
51
24
7
W
=
5
-
7
WHEELED
62
35
8
B
=
2
-
2
BY
27
9
9
L
=
3
-
4
LOVE
54
18
9
-
-
34
-
38
First Total
425
182
47
-
-
3+4
-
3+8
Add to Reduce
4+2+5
1+8+2
4+7
Q
-
7
-
11
Second Total
11
11
11
-
-
-
-
1+1
Reduce to Deduce
1+1
1+1
1+1
-
-
7
-
2
Essence of Number
2
2
2

 

 

T
=
2
-
3
THE
33
15
6
L
=
3
-
4
LOVE
54
18
9
T
=
2
-
4
THAT
49
13
4
M
=
4
-
5
MOVES
74
20
2
T
=
2
-
3
THE
33
15
6
S
=
1
-
3
SUN
54
9
9
A
=
1
-
3
AND
19
10
1
O
=
6
-
5
OTHER
66
30
3
S
=
1
-
5
STARS
77
14
5
-
-
22
-
35
First Total
459
144
45
-
-
2+2
-
3+5
Add to Reduce
4+5+9
1+4+4
4+5
Q
-
4
-
8
Second Total
18
9
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
4
-
8
Essence of Number
9
9
9

 

 

3
THE
33
15
6
4
HOLY
60
24
6
7
MESSAGE
-
-
-
2
M+E
18
9
9
1
S
19
10
1
3
S+A+G
27
18
9
1
E
5
5
5
7
MESSAGE
69
42
24
14
Add
162
81
36
1+4
Reduce
1+6+2
8+1
3+6
5
Deduce
9
9
9

 

 

THE

FAR YONDER SCRIBE

AND OFT TIMES SHADOWED SUBSTANCES WATCHED IN FINE AMAZE

THE

ZED ALIZ ZED

IN SWIFT REPEAT SCATTER STAR DUST AMONGST THE LETTERS OF THEIR PROGRESS

AT THE THROW OF THE NINTH NUMBER WHEN IN CONJUNCTION SET

THE

FAR YONDER SCRIBE

MADE RECORD OF THEIR FALL

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
5
ADDED
18
18
9
-
-
-
-
-
-
-
-
-
9
T
=
2
-
2
TO
35
8
8
-
-
-
-
-
-
-
-
8
-
A
=
1
-
3
ALL
25
7
7
-
-
-
-
-
-
-
7
-
-
M
=
4
-
5
MINUS
76
22
4
-
-
-
-
4
-
-
-
-
-
N
=
5
-
4
NONE
48
21
3
-
-
-
3
-
-
-
-
-
-
S
=
1
-
6
SHARED
55
28
1
-
1
-
-
-
-
-
-
-
-
B
=
2
-
2
BY
27
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
-
-
7
-
-
M
=
4
-
10
MULTIPLED
121
49
4
-
-
-
-
4
-
-
-
-
-
I
=
9
-
2
IN
23
14
5
-
-
-
-
-
5
-
-
-
-
A
=
1
-
9
ABUNDANCE
65
29
2
-
-
2
-
-
-
-
-
-
-
-
-
35
-
58
First Total
995
266
59
-
1
2
3
8
5
6
14
8
18
-
-
3+5
-
5+8
Add to Reduce
9+9+5
2+6+6
5+9
-
-
-
-
-
-
-
1+4
-
1+8
-
-
8
-
13
Second Total
23
14
10
-
1
2
3
8
5
6
5
8
9
-
-
-
-
1+3
Reduce to Deduce
2+3
1+4
1+0
-
-
-
-
-
-
-
-
-
-
-
-
8
-
4
Essence of Number
5
5
5
-
1
2
3
8
5
6
5
8
9

 

 

26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
5
6
-
-
-
1
-
-
-
-
6
-
8
+
=
43
4+3
=
7
=
7
=
7
-
-
-
-
-
-
-
-
8
9
-
-
-
-
14
15
-
-
-
19
-
-
-
-
24
-
26
+
=
115
1+1+5
=
7
=
7
=
7
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
-
-
1
2
3
4
-
-
7
8
9
-
2
3
4
5
-
7
-
+
=
83
8+3
=
11
1+1
2
=
2
-
1
2
3
4
5
6
7
-
-
10
11
12
13
-
-
16
17
18
-
20
21
22
23
-
25
-
+
=
236
2+3+6
=
11
1+1
2
=
2
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
+
=
351
3+5+1
=
9
=
9
=
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
+
=
126
1+2+6
=
9
=
9
=
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
+
=
1
occurs
x
3
=
3
=
3
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
+
=
2
occurs
x
3
=
6
=
6
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
+
=
3
occurs
x
3
=
9
=
9
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
+
=
4
occurs
x
3
=
12
1+2
3
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
+
=
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
+
=
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
+
=
8
occurs
x
3
=
24
2+4
6
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
+
=
9
occurs
x
2
=
18
1+8
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
45
-
-
26
-
126
-
54
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
4+5
-
-
2+6
-
1+2+6
-
5+4
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
-
-
-
-
-
-
-
-
-
-
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9

 

 

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

 

 

IT'S ONLY ON THE BRINK THAT PEOPLE FIND THE WILL TO CHANGE

ONLY AT THE PRECIPICE DO WE EVOLVE THIS IS OUR MOMENT DON'T TAKE IT FROM US

 

 

PLANT E THE HEART IN PLANET EARTH

PLANT 5 THE HEART IN PLAN5T EARTH

PLANT E THE HEART IN PLANET EARTH

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
-
4
ZERO
64
28
1
-
1
-
3
-
5
-
-
8
9
1
-
O
=
6
-
3
ONE
34
16
7
-
-
-
3
-
5
-
7
8
9
2
-
T
=
2
-
3
TWO
58
13
4
-
-
-
3
4
5
-
-
8
9
3
-
T
=
2
-
5
THREE
56
29
2
-
-
2
3
-
5
-
-
8
9
4
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
3
-
5
6
-
8
9
5
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
3
-
5
6
-
8
9
6
-
S
=
1
-
3
SIX
52
16
7
-
-
-
3
-
5
-
7
8
9
7
-
S
=
1
-
5
SEVEN
65
20
2
-
-
2
3
-
5
-
-
8
9
8
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
3
4
5
-
-
8
9
9
-
N
=
5
-
4
NINE
42
24
6
-
-
-
3
-
5
6
-
8
9
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
-
4
ZERO
64
28
1
-
1
-
3
-
5
-
-
8
9
3
-
T
=
2
-
5
THREE
56
29
2
-
-
2
3
-
5
-
-
8
9
7
-
S
=
1
-
5
SEVEN
65
20
2
-
-
2
3
-
5
-
-
8
9
2
-
T
=
2
-
3
TWO
58
13
4
-
-
-
3
4
5
-
-
8
9
8
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
3
4
5
-
-
8
9
4
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
3
-
5
6
-
8
9
5
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
3
-
5
6
-
8
9
9
-
N
=
5
-
4
NINE
42
24
6
-
-
-
3
-
5
6
-
8
9
1
-
O
=
6
-
3
ONE
34
16
7
-
-
-
3
-
5
-
7
8
9
6
-
S
=
1
-
3
SIX
52
16
7
-
-
-
3
-
5
-
7
8
9
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
4
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
-
4
ZERO
64
28
1
-
1
-
-
-
-
3
-
T
=
2
-
5
THREE
56
29
2
-
-
2
-
-
-
7
-
S
=
1
-
5
SEVEN
65
20
2
-
-
2
-
-
-
2
-
T
=
2
-
3
TWO
58
13
4
-
-
-
4
-
-
8
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
4
-
-
4
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
6
-
5
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
6
-
9
-
N
=
5
-
4
NINE
42
24
6
-
-
-
-
6
-
1
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
7
6
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
7
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
8
18
14
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
1+8
1+4
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
8
9
5

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
1
-
F
=
6
2
5
FIRST
72
27
9
-
-
-
-
-
-
-
-
-
9
2
-
S
=
1
3
6
SECOND
60
24
6
-
-
-
-
-
-
6
-
-
-
3
-
T
=
2
4
5
THIRD
59
32
5
-
-
-
-
-
5
-
-
-
-
4
-
F
=
6
5
6
FOURTH
88
34
7
-
-
-
-
-
-
-
7
-
-
5
-
F
=
6
6
5
FIFTH
49
31
4
-
-
-
-
4
-
-
-
-
-
6
-
S
=
1
7
5
SIXTH
80
26
8
-
-
-
-
-
-
-
-
8
-
7
-
S
=
1
8
7
SEVENTH
93
30
3
-
-
-
3
-
-
-
-
-
-
8
-
E
=
5
9
6
EIGHTH
57
39
3
-
-
-
3
-
-
-
-
-
-
9
-
N
=
5
10
5
NINTH
65
29
2
-
-
2
-
-
-
-
-
-
-
45
-
-
-
41
-
54
Add
687
300
48
-
1
2
6
8
5
6
7
8
9
4+5
-
-
-
4+1
-
5+4
Reduce
6+8+7
3+0+0
4+8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
5
-
9
Deduce
21
3
12
-
1
2
6
8
5
6
7
8
9
-
-
-
-
-
-
-
Reduce
2+1
-
1+2
-
-
-
-
-
-
-
-
-
-
9
-
-
-
5
-
9
Essence
3
3
3
-
1
2
6
8
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
9
-
N
=
5
10
5
NINTH
65
29
2
-
-
2
-
-
-
-
-
-
-
7
-
S
=
1
8
7
SEVENTH
93
30
3
-
-
-
3
-
-
-
-
-
-
8
-
E
=
5
9
6
EIGHTH
57
39
3
-
-
-
3
-
-
-
-
-
-
5
-
F
=
6
6
5
FIFTH
49
31
4
-
-
-
-
4
-
-
-
-
-
3
-
T
=
2
4
5
THIRD
59
32
5
-
-
-
-
-
5
-
-
-
-
2
-
S
=
1
3
6
SECOND
60
24
6
-
-
-
-
-
-
6
-
-
-
4
-
F
=
6
5
6
FOURTH
88
34
7
-
-
-
-
-
-
-
7
-
-
6
-
S
=
1
7
5
SIXTH
80
26
8
-
-
-
-
-
-
-
-
8
-
1
-
F
=
6
2
5
FIRST
72
27
9
-
-
-
-
-
-
-
-
-
9
45
-
-
-
41
-
54
Add
687
300
48
-
1
2
6
8
5
6
7
8
9
4+5
-
-
-
4+1
-
5+4
Reduce
6+8+7
3+0+0
4+8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
5
-
9
Deduce
21
3
12
-
1
2
6
8
5
6
7
8
9
-
-
-
-
-
-
-
Reduce
2+1
-
1+2
-
-
-
-
-
-
-
-
-
-
9
-
-
-
5
-
9
Essence
3
3
3
-
1
2
6
8
5
6
7
8
9

 

 

-
THE SOLAR SYSTEM
-
-
-
3
THE
33
15
6
5
SOLAR
65
29
2
6
SYSTEM
101
38
2
14
THE SOLAR SYSTEM
199
82
10
1+4
-
1+9+9
8+2
1+0
5
THE SOLAR SYSTEM
19
10
1
-
-
1+9
1+0
-
5
THE SOLAR SYSTEM
10
1
1
-
-
1+0
-
-
5
THE SOLAR SYSTEM
1
1
1

 

Order Of the Planets From The Sun - Universe Today
https://www.universetoday.com/72305/order-of-the-planets-from-the-sun/

25 Nov 2015 - Here are the planets listed in order of their distance from the Sun:
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.

 

3
SUN
54
9
9
7
MERCURY
103
40
4
5
VENUS
81
18
9
5
EARTH
52
25
7
4
MOON
57
21
3
4
MARS
51
15
6
7
JUPITER
99
36
9
6
SATURN
93
21
3
6
URANUS
94
22
4
7
NEPTUNE
95
32
5
5
PLUTO
84
21
3
59
First Total
863
260
62
5+9
Add to Reduce
8+6+3
2+6+0
1+0
14
Second Total
17
8
8
1+4
Reduce to Deduce
1+7
-
-
5
Essence of Number
8
8
8

 

SUN MERCURY VENUS EARTH MOON MARS JUPITER SATURN URANUS NEPTUNE PLUTO

 

 

NUMBER = 534259 = 1 = 534259NUMBER

NUMBER = 234559 NUMBER

NUMBER = 534259 = 1 = 534259NUMBER

 

 

NUMBERS = 5342591 = 1 = 5342591NUMBERS

NUMBERS = 1234559 = NUMBER

NUMBERS = 5342591 = 1 = 5342591NUMBERS

 

 

Vedic Astrology and Numerology, ROHIT KR RAO

www.rohitkrrao.com/numerology.html‎

The history of numbers is as old as the recorded history of man. Numerology was in use in ancient Greece, Rome, Egypt, China and India and is to be found in ...

What are the Numbers?

The most familiar form of numbers are natural numbers 0, 1, 2, 3, 4 5, 6, 7, 8, 9.

The numbers 1 to 9 can be called as unit numbers and the numbers from 10 onwards (up to 99) can be called as double-digit numbers which denotes the fusion of two numbers however these can still be reduced to unit numbers, eg; 24 (2+4=6) is reduced to 6. Then, there are Master Numbers such as 11, 22, 33, 44 and so on which are never reduced to a unit number as they carry their own intensified vibration and potency.

Every number expresses its qualities in the form of strengths and challenges. Therefore, no number is good or bad, lucky or unlucky and auspicious or inauspicious as each and every number is equally necessary and important, and each gives strength to the next one and takes what it needs from the one before. Numbers have two aspects viz; exoteric or external and esoteric or inner. In a nut shell, every number possesses its own unique quality and power.

Our ancient seers believed that numbers symbolize divinity and however our mathematicians believed that study of numbers can possibly reveal the principles of creation and laws of time & space. Numbers can be seen as fundamental in art, poetry, architecture, music, and so on.

“The World is built upon the power of Numbers” ...Pythagoras – 6th century BC.

What is Numerology? top

The word Numerology comes from the Latin word "Numerus," which means number, and the Greek word "Logos," which means word, thought, and expression.

Numerology, based upon the sacred science of numbers, is an advanced offshoot of the melodious rhythm of the mathematical precision that controls all creation. It influences every aspect of our life unconsciously or consciously whether we are aware of this or not.

Numerology is the science and philosophy of numbers (1 to 9) where each numbers has its own strength, potential and challenge. The whole idea behind this is to know the hidden expression contained in these numbers so as to understand their relationship and progression in our numerology chart. This can help us in knowing the difficulties we may have experienced in the past or under present circumstances and then working towards doing some inner work in our life for bringing harmony, peace and joy.
The belief in Numerology is easier to understand when we put it into a context with realizing how the entire world revolves around numbers and mathematical equations.

What is the origin and history of Numerology?

The history of numbers is as old as the recorded history of man. Numerology was in use in ancient Greece, Rome, Egypt, China and India and is to be found in the ancient books of wisdom, such as the Hebrew Kabala. Most commonly used system for Numerology were developed by the Chaldeans, the Hindus, the Mayans, the Hebrews (Kabala), the Chinese (Book of Changes), and the work of Pythagoras, to name a few. The basic intent behind these systems originally was to understand the relationship between man and his god.

Pythagoras, the old master philosopher and mathematician, who lived in the sixth century BC, propounded the theory that nothing in the universe could exist without numbers. He established a Mystery School in Italy when he was 52 years old. He was born in Greece and lived between 582 and 507 BC, much of his life spent in study and travel. His Mystery School taught esoteric knowledge, which included the secret of number and vibration. The knowledge was passed down by word of mouth and a few manuscripts. The academic teaching rested on a foundation of Mathematics, Music and Astronomy. Much of Pythagoras' background in Egyptian philosophy and religion was based upon Number and Kabalistic principle. He postulated that the triangle was particularly important, as it was the first complete shape, and constituted a blueprint. Thus form is preceded by a blueprint, and each stage of this process is measured through numbers, hence nothing exists without numbers.

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
ZERO
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
Z
=
8
-
-
Z
26
8
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
O
=
5
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
0
-
-
-
27
-
4
ZERO
64
28
2+8
=
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ONE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
1
-
-
-
16
-
3
ONE
34
16
1+6
=
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
TWO
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
2
-
-
-
13
-
3
TWO
58
13
1+3
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
THREE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
3
-
-
-
29
-
5
THREE
56
29
2+9
=
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FOUR
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
-
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
4
-
-
-
24
-
4
FOUR
60
24
2+4
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FIVE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
5
-
-
-
24
-
4
FIVE
42
24
2+4
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIX
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
-
-
6
-
-
-
6
-
-
-
16
-
3
SIX
52
16
1+6
=
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SEVEN
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
7
-
-
-
20
-
5
SEVEN
65
20
2+0
=
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
EIGHT
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
8
-
-
-
31
-
5
EIGHT
49
31
3+1
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
9
-
-
-
24
-
4
NINE
42
24
2+4
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
45
-
-
-
-
70
40
ADD
522
225
45
-
45
-
2
6
3
8
70
42
7
24
63
4+5
-
-
-
-
7+0
4+0
REDUCE
5+2+2
2+2+5
4+5
-
4+5
-
-
-
-
-
7+0
4+2
-
2+4
6+3
9
-
-
-
-
7
4
DEDUCE
9
9
9
-
9
-
2
6
3
8
7
6
7
6
9

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
ZERO
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
Z
=
8
-
1
Z
26
8
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
0
-
O
=
6
-
4
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
N
=
5
-
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
1
-
E
=
5
-
3
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
W
=
5
-
3
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
2
-
O
=
6
-
3
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
E
=
5
-
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
3
-
E
=
5
-
5
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
-
4
-
R
=
9
-
4
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
5
-
E
=
5
-
4
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
6
-
X
=
6
-
3
X
24
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
E
=
5
-
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
7
-
N
=
5
-
7
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
-
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
8
-
T
=
2
-
5
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
N
=
5
-
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
N
=
5
-
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
9
-
E
=
5
-
4
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
45
-
-
-
42
-
40
ADD
522
225
45
-
45
-
2
6
3
8
70
42
7
24
63
4+5
-
-
-
4+2
-
4+0
REDUCE
5+2+2
2+2+5
4+5
-
4+5
-
-
-
-
-
7+0
4+2
-
2+4
6+3
9
-
-
-
6
-
4
DEDUCE
9
9
9
-
9
-
2
6
3
8
7
6
7
6
9

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
ZERO
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
8
-
T
=
2
-
5
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
N
=
5
-
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
1
-
E
=
5
-
3
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
W
=
5
-
3
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
-
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
3
-
E
=
5
-
5
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
5
-
E
=
5
-
4
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
-
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
-
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
7
-
N
=
5
-
7
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
-
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
N
=
5
-
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
N
=
5
-
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
9
-
E
=
5
-
4
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
0
-
O
=
6
-
4
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
2
-
O
=
6
-
3
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
6
-
X
=
6
-
3
X
24
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
Z
=
8
-
1
Z
26
8
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
4
-
R
=
9
-
4
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
45
-
-
-
42
-
40
ADD
522
225
45
-
45
-
2
6
3
8
70
42
7
24
63
4+5
-
-
-
4+2
-
4+0
REDUCE
5+2+2
2+2+5
4+5
-
4+5
-
-
-
-
-
7+0
4+2
-
2+4
6+3
9
-
-
-
6
-
4
DEDUCE
9
9
9
-
9
-
2
6
3
8
7
6
7
6
9

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

Z5RO O55 T5O THR55 FOUR FIV5 SIX S5V55 5IGHT 5I55

 

1
occurs
x
2
=
2
=
2
2
occurs
x
3
=
6
=
6
3
occurs
x
1
=
3
=
3
4
occurs
x
2
=
8
=
8
5
occurs
x
14
=
70
7+0
7
6
occurs
x
7
=
42
4+2
6
7
occurs
x
1
=
7
=
7
8
occurs
x
3
=
24
2+4
6
9
occurs
x
7
=
63
6+3
9
45
-
-
40
-
225
-
54
4+5
-
-
4+0
-
2+2+5
-
5+4
9
-
-
4
-
9
-
9

 

Z5RO O55 T5O THR55 FOUR FIV5 SIX S5V55 5IGHT 5I55

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

ONE THREE FIVE SEVEN NINE

 

N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
ONE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
1
-
-
-
16
-
3
ONE
34
16
1+6
=
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
THREE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
3
-
-
-
29
-
5
THREE
56
29
2+9
=
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FIVE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
5
-
-
-
24
-
4
FIVE
42
24
2+4
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SEVEN
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
7
-
-
-
20
-
5
SEVEN
65
20
2+0
=
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
9
-
-
-
24
-
4
NINE
42
24
2+4
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
25
-
-
-
20
-
21
ADD
239
113
23
-
23
-
1
2
3
8
55
12
7
8
27
2+5
-
-
-
2+0
-
2+1
REDUCE
2+3+9
1+1+3
2+3
-
2+3
-
-
-
-
-
5+5
1+2
-
-
2+7
7
-
-
-
2
-
3
DEDUCE
14
5
5
-
5
-
1
2
3
8
10
3
7
8
9
-
-
-
-
-
-
-
REDUCE
1+4
-
-
-
-
-
-
-
-
-
1+0
-
-
-
-
7
-
-
-
2
-
3
ESSENCE
5
5
5
-
5
-
1
2
3
8
1
3
7
8
9

 

ONE THREE FIVE SEVEN NINE

 

1
occurs
x
1
=
1
=
1
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
5
occurs
x
11
=
55
5+5
1
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
occurs
x
3
=
27
2+7
9
35
-
-
21
-
113
-
32
3+5
-
-
4+0
-
1+1+3
-
3+2
8
-
-
4
-
5
-
9

 

ONE THREE FIVE SEVEN NINE

 

1
-
O
=
6
-
3
ONE
34
16
1+6
=
7
3
-
T
=
2
-
5
THREE
56
29
2+9
=
2
5
-
F
=
6
-
4
FIVE
42
24
2+4
=
6
7
-
S
=
1
-
5
SEVEN
65
20
2+0
=
2
9
-
N
=
5
-
4
NINE
42
24
2+4
=
6
25
-
-
-
20
-
21
ADD
239
113
-
-
23
2+5
-
-
-
2+0
-
2+1
REDUCE
2+3+9
1+1+3
-
-
2+3
7
-
-
-
2
-
3
DEDUCE
14
5
-
-
5
-
-
-
-
-
-
-
REDUCE
1+4
-
-
-
-
7
-
-
-
2
-
3
ESSENCE
5
5
-
-
5

 

ONE THREE FIVE SEVEN NINE

 

-
N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
ONE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
3
-
-
6
7
-
-
2
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
3
-
5
-
7
-
-
3
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
4
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
3
-
-
-
7
-
-
5
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
3
-
-
-
7
8
-
6
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
3
-
-
-
7
-
9
7
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
8
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
9
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
3
-
-
6
7
-
-
10
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
3
-
-
-
7
-
9
11
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
3
4
-
-
7
-
-
12
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
13
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
3
-
-
-
7
-
-
14
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
15
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
3
4
-
-
7
-
-
16
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
17
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
3
-
5
-
7
-
-
18
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
3
-
5
-
7
-
-
19
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
3
-
-
-
7
-
9
20
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
3
-
5
-
7
-
-
21
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
-
-
-
-
-
-
-
-
NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
21
ADD
239
113
23
-
23
-
1
2
3
8
55
12
7
8
27
-
-
-
-
-
-
-
2+1
REDUCE
2+3+9
1+1+3
2+3
-
2+3
-
-
-
-
-
5+5
1+2
-
-
2+7
-
-
-
-
-
-
-
3
DEDUCE
14
5
5
-
5
-
1
2
3
8
10
3
7
8
9
-
-
-
-
-
-
-
-
REDUCE
1+4
-
-
-
-
-
-
-
-
-
1+0
-
-
-
-
-
-
-
-
-
-
-
3
ESSENCE
5
5
5
-
5
-
1
2
3
8
1
3
7
8
9

 

ONE THREE FIVE SEVEN NINE

 

-
N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
ONE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
13
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
3
-
-
-
7
-
-
4
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
3
-
-
-
7
-
-
11
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
3
4
-
-
7
-
-
15
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
3
4
-
-
7
-
-
2
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
3
-
5
-
7
-
-
3
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
7
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
8
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
12
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
14
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
16
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
17
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
3
-
5
-
7
-
-
18
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
3
-
5
-
7
-
-
20
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
3
-
5
-
7
-
-
21
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
3
-
5
-
7
-
-
1
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
3
-
-
6
7
-
-
9
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
3
-
-
6
7
-
-
5
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
3
-
-
-
7
8
-
6
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
3
-
-
-
7
-
9
10
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
3
-
-
-
7
-
9
19
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
3
-
-
-
7
-
9
-
-
-
-
-
-
-
-
NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
21
ADD
239
113
23
-
23
-
1
2
3
8
55
12
7
8
27
-
-
-
-
-
-
-
2+1
REDUCE
2+3+9
1+1+3
2+3
-
2+3
-
-
-
-
-
5+5
1+2
-
-
2+7
-
-
-
-
-
-
-
3
DEDUCE
14
5
5
-
5
-
1
2
3
8
10
3
7
8
9
-
-
-
-
-
-
-
-
REDUCE
1+4
-
-
-
-
-
-
-
-
-
1+0
-
-
-
-
-
-
-
-
-
-
-
3
ESSENCE
5
5
5
-
5
-
1
2
3
8
1
3
7
8
9

 

ONE THREE FIVE SEVEN NINE

 

-
N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
4
5
6
8
9
-
-
-
-
-
-
-
-
ONE
-
-
-
-
-
-
-
-
-
-
-
-
-
13
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
4
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
11
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
4
-
-
-
-
15
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
4
-
-
-
-
2
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
5
-
-
-
3
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
5
-
-
-
7
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
5
-
-
-
8
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
5
-
-
-
12
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
5
-
-
-
14
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
5
-
-
-
16
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
5
-
-
-
17
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
5
-
-
-
18
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
5
-
-
-
20
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
5
-
-
-
21
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
5
-
-
-
1
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
6
-
-
9
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
6
-
-
5
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
8
-
6
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
9
10
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
9
19
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
21
ADD
239
113
23
-
23
-
1
2
8
55
12
8
27
-
-
-
-
-
-
-
2+1
REDUCE
2+3+9
1+1+3
2+3
-
2+3
-
-
-
-
5+5
1+2
-
2+7
-
-
-
-
-
-
-
3
DEDUCE
14
5
5
-
5
-
1
2
8
10
3
8
9
-
-
-
-
-
-
-
-
REDUCE
1+4
-
-
-
-
-
-
-
-
1+0
-
-
-
-
-
-
-
-
-
-
3
ESSENCE
5
5
5
-
5
-
1
2
8
1
3
8
9

 

ONE THREE FIVE SEVEN NINE

ON5 THR55 FIV5 S5V55 5I55

ONE THREE FIVE SEVEN NINE

 

1
-
O
=
6
-
3
ONE
34
16
1+6
=
7
3
-
T
=
2
-
5
THREE
56
29
2+9
=
2
5
-
F
=
6
-
4
FIVE
42
24
2+4
=
6
7
-
S
=
1
-
5
SEVEN
65
20
2+0
=
2
9
-
N
=
5
-
4
NINE
42
24
2+4
=
6
25
-
-
-
20
-
21
ADD
239
113
-
-
23
2+5
-
-
-
2+0
-
2+1
REDUCE
2+3+9
1+1+3
-
-
2+3
7
-
-
-
2
-
3
DEDUCE
14
5
-
-
5
-
-
-
-
-
-
-
REDUCE
1+4
-
-
-
-
7
-
-
-
2
-
3
ESSENCE
5
5
-
-
5

 

ONE THREE FIVE SEVEN NINE

 

 

TWO FOUR SIX EIGHT

 

2
-
T
=
2
1
3
TWO
58
13
1+3
=
4
4
-
F
=
6
2
4
FOUR
60
24
2+4
=
6
6
-
S
=
1
3
3
SIX
52
16
1+6
=
7
8
-
E
=
5
4
5
EIGHT
49
31
3+1
=
4
20
-
-
-
20
-
15
ADD
219
84
-
-
21
2+0
-
-
-
2+0
-
1+5
REDUCE
2+1+9
8+4
-
-
2+1
2
-
-
-
2
-
6
DEDUCE
12
12
-
-
3
-
-
-
-
-
-
-
PRODUCE
1+2
1+2
-
-
-
2
-
-
-
2
-
6
ESSENCE
3
3
-
-
3

 

TWO FOUR SIX EIGHT

 

N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
TWO
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
4
-
-
-
-
-
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
4
5
-
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
4
-
6
-
-
-
2
-
-
-
13
-
3
TWO
58
13
1+3
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FOUR
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
4
-
6
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
4
-
6
-
-
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
4
-
-
-
-
-
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
4
-
-
-
-
9
4
-
-
-
24
-
4
FOUR
60
24
2+4
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIX
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
4
-
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
4
-
-
-
-
9
-
-
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
4
-
6
-
-
-
6
-
-
-
16
-
3
SIX
52
16
1+6
=
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
EIGHT
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
4
5
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
4
-
-
-
-
9
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
4
-
-
7
-
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
4
-
-
-
8
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
4
-
-
-
-
-
8
-
-
-
31
-
5
EIGHT
49
31
3+1
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
15
ADD
219
84
21
-
21
-
1
4
3
4
10
24
7
8
27
-
-
-
-
-
-
1+5
REDUCE
2+1+9
8+4
2+1
-
2+1
-
-
-
-
-
1+0
2+4
-
-
2+7
-
-
-
-
-
-
6
DEDUCE
12
12
3
-
3
-
1
4
3
4
1
6
7
8
9
-
-
-
-
-
-
-
PRODUCE
1+2
1+2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
ESSENCE
3
3
3
-
3
-
1
4
3
4
1
6
7
8
9

 

TWO FOUR SIX EIGHT

T5O FOUR SIX 5IGHT

 

1
occurs
x
1
=
1
=
1
2
occurs
x
2
=
4
=
4
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
6
occurs
x
4
=
24
2+4
6
7
occurs
x
1
=
7
=
7
8
occurs
x
1
=
8
=
8
9
occurs
x
3
=
27
2+7
9
41
-
-
15
-
84
-
39
4+1
-
-
1+5
-
8+4
-
3+9
5
-
-
6
-
12
-
12
-
-
-
-
-
1+2
-
1+2
5
-
-
6
-
3
-
3

 

TWO FOUR SIX EIGHT

T5O FOUR SIX 5IGHT

TWO FOUR SIX EIGHT

 

N
N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
5
6
7
8
9
-
-
-
-
-
-
-
-
TWO
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
2
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
5
-
-
-
-
3
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
6
-
-
-
4
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
6
-
-
-
5
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
6
-
-
-
6
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
7
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
9
8
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
9
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
9
10
-
-
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
-
6
-
-
-
11
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
5
-
-
-
-
12
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
9
13
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
7
-
-
14
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
8
-
15
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
31
-
5
EIGHT
49
31
3+1
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
15
ADD
219
84
21
-
21
-
1
4
3
10
24
7
8
27
-
-
-
-
-
-
-
1+5
REDUCE
2+1+9
8+4
2+1
-
2+1
-
-
-
-
1+0
2+4
-
-
2+7
-
-
-
-
-
-
-
6
DEDUCE
12
12
3
-
3
-
1
4
3
1
6
7
8
9
-
-
-
-
-
-
-
-
PRODUCE
1+2
1+2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
ESSENCE
3
3
3
-
3
-
1
4
3
1
6
7
8
9

 

TWO FOUR SIX EIGHT

 

N
N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
TWO
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
4
-
-
-
-
-
1
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
4
-
-
-
-
-
15
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
4
-
-
-
-
-
6
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
4
-
-
-
-
-
2
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
4
5
-
-
-
-
11
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
4
5
-
-
-
-
3
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
4
-
6
-
-
-
4
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
4
-
6
-
-
-
5
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
4
-
6
-
-
-
10
-
-
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
4
-
6
-
-
-
13
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
4
-
-
7
-
-
14
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
4
-
-
-
8
-
7
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
4
-
-
-
-
9
9
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
4
-
-
-
-
9
12
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
4
-
-
-
-
9
-
-
-
-
-
31
-
5
EIGHT
49
31
3+1
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
15
ADD
219
84
21
-
21
-
1
4
3
4
10
24
7
8
27
-
-
-
-
-
-
-
1+5
REDUCE
2+1+9
8+4
2+1
-
2+1
-
-
-
-
-
1+0
2+4
-
-
2+7
-
-
-
-
-
-
-
6
DEDUCE
12
12
3
-
3
-
1
4
3
4
1
6
7
8
9
-
-
-
-
-
-
-
-
PRODUCE
1+2
1+2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
ESSENCE
3
3
3
-
3
-
1
4
3
4
1
6
7
8
9

 

TWO FOUR SIX EIGHT

 

N
N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
5
6
7
8
9
-
-
-
-
-
-
-
-
TWO
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
1
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
15
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
6
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
2
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
5
-
-
-
-
11
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
5
-
-
-
-
3
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
6
-
-
-
4
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
6
-
-
-
5
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
6
-
-
-
10
-
-
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
-
6
-
-
-
13
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
7
-
-
14
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
8
-
7
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
9
9
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
9
12
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
31
-
5
EIGHT
49
31
3+1
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
15
ADD
219
84
21
-
21
-
1
4
3
10
24
7
8
27
-
-
-
-
-
-
-
1+5
REDUCE
2+1+9
8+4
2+1
-
2+1
-
-
-
-
1+0
2+4
-
-
2+7
-
-
-
-
-
-
-
6
DEDUCE
12
12
3
-
3
-
1
4
3
1
6
7
8
9
-
-
-
-
-
-
-
-
PRODUCE
1+2
1+2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
ESSENCE
3
3
3
-
3
-
1
4
3
1
6
7
8
9

 

 

2
-
T
=
2
1
3
TWO
58
13
1+3
=
4
4
-
F
=
6
2
4
FOUR
60
24
2+4
=
6
6
-
S
=
1
3
3
SIX
52
16
1+6
=
7
8
-
E
=
5
4
5
EIGHT
49
31
3+1
=
4
20
-
-
-
20
-
15
ADD
219
84
-
-
21
2+0
-
-
-
2+0
-
1+5
REDUCE
2+1+9
8+4
-
-
2+1
2
-
-
-
2
-
6
DEDUCE
12
12
-
-
3
-
-
-
-
-
-
-
PRODUCE
1+2
1+2
-
-
-
2
-
-
-
2
-
6
ESSENCE
3
3
-
-
3

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
-
4
ZERO
64
28
1
-
1
-
3
-
5
-
-
8
9
1
-
O
=
6
-
3
ONE
34
16
7
-
-
-
3
-
5
-
7
8
9
2
-
T
=
2
-
3
TWO
58
13
4
-
-
-
3
4
5
-
-
8
9
3
-
T
=
2
-
5
THREE
56
29
2
-
-
2
3
-
5
-
-
8
9
4
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
3
-
5
6
-
8
9
5
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
3
-
5
6
-
8
9
6
-
S
=
1
-
3
SIX
52
16
7
-
-
-
3
-
5
-
7
8
9
7
-
S
=
1
-
5
SEVEN
65
20
2
-
-
2
3
-
5
-
-
8
9
8
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
3
4
5
-
-
8
9
9
-
N
=
5
-
4
NINE
42
24
6
-
-
-
3
-
5
6
-
8
9
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
3
-
5
-
-
8
9
3
-
T
=
2
4
5
THREE
56
29
2
-
-
2
3
-
5
-
-
8
9
7
-
S
=
1
8
5
SEVEN
65
20
2
-
-
2
3
-
5
-
-
8
9
2
-
T
=
2
3
3
TWO
58
13
4
-
-
-
3
4
5
-
-
8
9
8
-
E
=
5
9
5
EIGHT
49
31
4
-
-
-
3
4
5
-
-
8
9
4
-
F
=
6
5
4
FOUR
60
24
6
-
-
-
3
-
5
6
-
8
9
5
-
F
=
6
6
4
FIVE
42
24
6
-
-
-
3
-
5
6
-
8
9
9
-
N
=
5
10
4
NINE
42
24
6
-
-
-
3
-
5
6
-
8
9
1
-
O
=
6
2
3
ONE
34
16
7
-
-
-
3
-
5
-
7
8
9
6
-
S
=
1
7
3
SIX
52
16
7
-
-
-
3
-
5
-
7
8
9
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
4
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
3
-
T
=
2
4
5
THREE
56
29
2
-
-
2
-
-
-
7
-
S
=
1
8
5
SEVEN
65
20
2
-
-
2
-
-
-
2
-
T
=
2
3
3
TWO
58
13
4
-
-
-
4
-
-
8
-
E
=
5
9
5
EIGHT
49
31
4
-
-
-
4
-
-
4
-
F
=
6
5
4
FOUR
60
24
6
-
-
-
-
6
-
5
-
F
=
6
6
4
FIVE
42
24
6
-
-
-
-
6
-
9
-
N
=
5
10
4
NINE
42
24
6
-
-
-
-
6
-
1
-
O
=
6
2
3
ONE
34
16
7
-
-
-
-
-
7
6
-
S
=
1
7
3
SIX
52
16
7
-
-
-
-
-
7
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
8
18
14
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
1+8
1+4
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
8
9
5

 

 

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

O
=
6
-
3
ONE
34
16
7
T
=
2
-
3
TWO
56
29
2
T
=
2
-
5
THREE
52
16
7
F
=
6
-
4
FOUR
60
24
6
F
=
6
-
4
FIVE
65
20
2
S
=
1
-
3
SIX
42
24
6
S
=
1
-
5
SEVEN
58
13
4
E
=
5
-
5
EIGHT
49
31
4
N
=
5
-
4
NINE
42
24
6
-
-
34
-
36
-
458
197
44
-
-
3+4
-
3+6
-
4+5+8
1+9+7
4+4
-
-
7
4
9
-
17
17
8
-
-
-
-
-
-
1+7
1+7
-
-
-
7
-
9
-
8
8
8

 

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

O
=
6
3
ONE
34
16
7
T
=
2
3
TWO
58
13
4
T
=
2
5
THREE
56
29
2
F
=
6
4
FOUR
60
24
6
F
+
6
4
FIVE
42
24
6
S
=
1
3
SIX
52
16
7
S
=
1
5
SEVEN
65
20
2
E
=
5
5
EIGHT
49
31
4
N
=
5
4
NINE
42
24
6
-
-
39
36
-
458
197
44
-
-
3+9
3+6
-
4+5+8
1+9+7
4+4
-
-
12
9
-
17
17
8
-
-
1+2
-
-
-
-
-
-
-
3
9
-
8
8
8

 

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Page 32

5


To Sorcerers and Magicians number FIVEis the most powerful - five is the mark of the pentacle, a five pointed star drawn by extending the sides of a Pentagon. Five surely is in the possession of the occult. And the Pentagon is the geometric figure in which the golden ratio of classical art and architecture is found most.

 

 

THE

BALANCING

ONE TWO THREE FOUR

FIVE

NINE EIGHT SEVEN SIX

O
=
15
-
3
ONE
34
16
7
-
1
T
=
20
-
3
TWO
58
13
4
-
2
T
=
20
-
5
THREE
56
29
2
-
3
F
=
6
-
4
FOUR
60
24
6
-
4
-
-
61
-
15
Add
208
82
19
-
10
-
-
6+1
-
1+5
Reduce
2+0+8
8+2
1+9
-
1+0
-
-
7
-
6
Deduce
10
10
10
-
1
-
-
-
-
-
Produce
1+0
1+0
1+0
-
-
-
-
7
-
6
Essence
1
1
1
-
1

 

 

N
=
14
-
4
NINE
42
24
6
-
9
E
=
5
-
5
EIGHT
49
31
4
-
8
S
=
19
-
5
SEVEN
65
20
2
-
7
S
=
19
-
3
SIX
52
16
7
-
6
-
-
57
-
17
Add
208
91
19
-
30
-
-
5+7
-
1+7
Reduce
2+0+8
9+1
1+9
-
3+0
-
-
12
-
8
Deduce
10
10
10
-
3
-
-
1+2
-
-
Produce
1+0
1+0
1+0
-
-
-
-
3
-
8
Essence
1
1
1
-
3

 

4
FIVE
42
24
6

 

1 2 3 4 5 6 7 8 9 9 8 7 6 5 4 3 2 1

 

15
ONE TWO THREE FOUR
208
82
1
4
FIVE
42
24
6
17
NINE EIGHT SEVEN SIX
208
91
1

 

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

ONE TWO THREE FOUR

5 V 5

SIX SEVEN EIGHT NINE

 

3
ONE
34
16
7
-
3
SIX
52
16
7
3
TWO
58
13
4
-
5
SEVEN
65
20
2
5
THREE
56
29
2
-
5
EIGHT
49
31
4
4
FOUR
60
24
6
-
4
NINE
42
24
6
15
Add
208
82
19
-
17
Add
208
91
19
1+5
Reduce
2+0+8
8+2
1+9
-
1+7
Reduce
2+0+8
9+1
1+9
6
Deduce
10
10
10
-
8
Deduce
10
10
10
-
Produce
1+0
1+0
1+0
-
-
Produce
1+0
1+0
1+0
6
Essence
1
1
1
-
8
Essence
1
1
1

 

 

ONE TWO THREE FOUR

5 V 5

SIX SEVEN EIGHT NINE

 

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

ALWAYS BALANCING IS THAT FIVE THAT FIVE IS BALANCING ALWAYS

 

 

ONE TWO THREE FOUR

FIVE

SIX SEVEN EIGHT NINE

 

15
ONE TWO THREE FOUR
208
82
1
4
FIVE
42
24
6
17
NINE EIGHT SEVEN SIX
208
91
1

 

-
-
-
-
-
ONE TWO THREE FOUR
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
ONE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
16
-
3
ONE
34
16
16
=
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
TWO
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
13
-
3
TWO
58
13
13
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
THREE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
29
-
5
THREE
56
29
29
=
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FOUR
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
24
-
4
FOUR
60
24
24
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
15
ONE TWO THREE FOUR
208
82
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FIVE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
-
-
-
F
6
6
6
-
-
-
-
-
-
-
-
-
-
-
-
I
=
-
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
-
V
=
-
-
-
V
22
4
4
-
-
-
-
-
-
-
-
-
-
-
-
E
=
-
5
-
E
5
5
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
24
-
-
FIVE
42
24
24
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIX SEVEN EIGHT NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIX
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
16
-
3
SIX
52
16
16
=
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SEVEN
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
20
-
5
SEVEN
65
20
20
=
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
EIGHT
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
-
7
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
31
-
5
EIGHT
49
31
31
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
24
-
4
NINE
42
24
24
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
17
SIX SEVEN EIGHT NINE
208
91
1
-
-
-
2
6
3
4
60
30
7
16
45
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6+0
3+0
-
1+6
4+5
-
-
-
65
22
ADD
452
173
38
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
6+5
2+2
REDUCE
5+2+2
1+7+3
3+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
11
4
DEDUCE
11
11
11
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
1+1
-
REDUCE
1+1
1+1
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
4
DEDUCE
12
2
2
-
-
-
2
6
3
4
2
3
7
7
9

 

ONE TWO THREE FOUR

5 V 5

SIX SEVEN EIGHT NINE

 

3
ONE
34
16
7
-
3
SIX
52
16
7
3
TWO
58
13
4
-
5
SEVEN
65
20
2
5
THREE
56
29
2
-
5
EIGHT
49
31
4
4
FOUR
60
24
6
-
4
NINE
42
24
6
15
Add
208
82
19
-
17
Add
208
91
19
1+5
Reduce
2+0+8
8+2
1+9
-
1+7
Reduce
2+0+8
9+1
1+9
6
Deduce
10
10
10
-
8
Deduce
10
10
10
-
Produce
1+0
1+0
1+0
-
-
Produce
1+0
1+0
1+0
6
Essence
1
1
1
-
8
Essence
1
1
1

 

 

-
-
-
-
-
ONE TWO THREE FOUR
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
15
ONE TWO THREE FOUR
208
82
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FIVE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
-
-
-
F
6
6
6
-
-
-
-
-
-
-
-
-
-
-
-
I
=
-
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
-
V
=
-
-
-
V
22
4
4
-
-
-
-
-
-
-
-
-
-
-
-
E
=
-
5
-
E
5
5
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
24
-
-
FIVE
42
24
24
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIX SEVEN EIGHT NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
-
-
6
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
-
7
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
17
SIX SEVEN EIGHT NINE
208
91
1
-
-
-
2
6
3
4
60
30
7
16
45
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6+0
3+0
-
1+6
4+5
-
-
-
65
22
ADD
452
173
38
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
6+5
2+2
REDUCE
5+2+2
1+7+3
3+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
11
4
DEDUCE
11
11
11
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
1+1
-
REDUCE
1+1
1+1
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
4
DEDUCE
12
2
2
-
-
-
2
6
3
4
2
3
7
7
9

 

 

3
ONE
34
16
7
-
3
SIX
52
16
7
3
TWO
58
13
4
-
5
SEVEN
65
20
2
5
THREE
56
29
2
-
5
EIGHT
49
31
4
4
FOUR
60
24
6
-
4
NINE
42
24
6
15
Add
208
82
19
-
17
Add
208
91
19
1+5
Reduce
2+0+8
8+2
1+9
-
1+7
Reduce
2+0+8
9+1
1+9
6
Deduce
10
10
10
-
8
Deduce
10
10
10
-
Produce
1+0
1+0
1+0
-
-
Produce
1+0
1+0
1+0
6
Essence
1
1
1
-
8
Essence
1
1
1

 

 

-
-
-
-
-
ONE TWO THREE FOUR
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
15
ONE TWO THREE FOUR
208
82
82
=
1
-
0
4
3
0
4
24
0
8
18
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FIVE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
-
-
-
F
6
6
6
-
-
-
-
-
-
-
-
-
-
-
-
I
=
-
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
-
V
=
-
-
-
V
22
4
4
-
-
-
-
-
-
-
-
-
-
-
-
E
=
-
5
-
E
5
5
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
24
-
-
FIVE
42
24
24
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIX SEVEN EIGHT NINE
-
-
-
-
-
-
2
2
0
4
35
6
7
8
27
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
-
-
6
-
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
-
7
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
17
SIX SEVEN EIGHT NINE
208
91
91
=
1
-
2
6
3
4
60
30
7
16
45
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6+0
3+0
-
1+6
4+5
-
-
-
65
22
ADD
452
173
38
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
6+5
2+2
REDUCE
5+2+2
1+7+3
3+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
11
4
DEDUCE
11
11
11
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
1+1
-
REDUCE
1+1
1+1
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
4
DEDUCE
12
2
2
-
-
-
2
6
3
4
2
3
7
7
9

 

 

3
ONE
34
16
7
-
3
SIX
52
16
7
3
TWO
58
13
4
-
5
SEVEN
65
20
2
5
THREE
56
29
2
-
5
EIGHT
49
31
4
4
FOUR
60
24
6
-
4
NINE
42
24
6
15
Add
208
82
19
-
17
Add
208
91
19
1+5
Reduce
2+0+8
8+2
1+9
-
1+7
Reduce
2+0+8
9+1
1+9
6
Deduce
10
10
10
-
8
Deduce
10
10
10
-
Produce
1+0
1+0
1+0
-
-
Produce
1+0
1+0
1+0
6
Essence
1
1
1
-
8
Essence
1
1
1

 

 

-
-
-
-
-
ONE TWO THREE FOUR
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
15
ONE TWO THREE FOUR
208
82
82
=
1
-
-
-
-
-
-
-
-
-
-
-
-
24
-
-
FIVE
42
24
24
=
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIX SEVEN EIGHT NINE
208
91
91
=
1
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
-
-
6
-
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
-
7
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
17
SIX SEVEN EIGHT NINE
208
91
91
=
1
-
2
6
3
4
60
30
7
16
45
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6+0
3+0
-
1+6
4+5
-
-
-
65
22
ADD
452
173
38
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
6+5
2+2
REDUCE
5+2+2
1+7+3
3+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
11
4
DEDUCE
11
11
11
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
1+1
-
REDUCE
1+1
1+1
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
4
DEDUCE
12
2
2
-
-
-
2
6
3
4
2
3
7
7
9

 

3
ONE
34
16
7
-
3
SIX
52
16
7
3
TWO
58
13
4
-
5
SEVEN
65
20
2
5
THREE
56
29
2
-
5
EIGHT
49
31
4
4
FOUR
60
24
6
-
4
NINE
42
24
6
15
Add
208
82
19
-
17
Add
208
91
19
1+5
Reduce
2+0+8
8+2
1+9
-
1+7
Reduce
2+0+8
9+1
1+9
6
Deduce
10
10
10
-
8
Deduce
10
10
10
-
Produce
1+0
1+0
1+0
-
-
Produce
1+0
1+0
1+0
6
Essence
1
1
1
-
8
Essence
1
1
1

 

 

-
-
-
-
-
ONE TWO THREE FOUR
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
15
ONE TWO THREE FOUR
208
82
82
=
1
-
-
-
-
-
-
-
-
-
-
-
-
24
-
-
FIVE
42
24
24
=
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIX SEVEN EIGHT NINE
208
91
91
=
1
-
-
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
-
-
6
-
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
-
7
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
17
SIX SEVEN EIGHT NINE
208
91
91
=
1
-
2
6
3
4
60
30
7
16
45
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6+0
3+0
-
1+6
4+5
-
-
-
65
22
ADD
452
173
38
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
6+5
2+2
REDUCE
5+2+2
1+7+3
3+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
11
4
DEDUCE
11
11
11
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
1+1
-
REDUCE
1+1
1+1
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
4
DEDUCE
12
2
2
-
-
-
2
6
3
4
2
3
7
7
9

 

 

-
-
-
-
15
ONE TWO THREE FOUR
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
S
=
1
-
-
S
19
1
1
-
-
-
1
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
U
=
3
-
-
U
21
3
3
-
-
-
-
-
3
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
F
=
6
-
-
F
6
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
O
=
6
-
-
O
15
6
6
-
-
-
-
-
-
-
-
6
-
-
-
X
=
6
-
-
X
24
6
6
-
-
-
-
-
-
-
-
6
-
-
-
G
=
7
-
-
G
7
7
7
-
-
-
-
-
-
-
-
-
7
-
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
H
=
8
-
-
H
8
8
8
-
-
-
-
-
-
-
-
-
-
8
-
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
R
=
9
-
-
R
18
9
9
-
-
-
-
-
-
-
-
-
-
-
9
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
I
=
9
-
-
I
9
9
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
17
SIX SEVEN EIGHT NINE
208
91
91
=
1
-
2
6
3
4
60
30
7
16
45
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6+0
3+0
-
1+6
4+5
-
-
-
60
32
ADD
416
173
38
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
6+0
3+2
REDUCE
4+1+6
1+7+3
3+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
5
DEDUCE
11
11
11
-
-
-
2
6
3
4
6
3
7
7
9
-
-
-
-
-
REDUCE
1+1
1+1
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
5
DEDUCE
2
2
2
-
-
-
2
6
3
4
2
3
7
7
9

 

 

3
ONE
34
16
7
-
3
SIX
52
16
7
3
TWO
58
13
4
-
5
SEVEN
65
20
2
5
THREE
56
29
2
-
5
EIGHT
49
31
4
4
FOUR
60
24
6
-
4
NINE
42
24
6
15
Add
208
82
19
-
17
Add
208
91
19
1+5
Reduce
2+0+8
8+2
1+9
-
1+7
Reduce
2+0+8
9+1
1+9
6
Deduce
10
10
10
-
8
Deduce
10
10
10
-
Produce
1+0
1+0
1+0
-
-
Produce
1+0
1+0
1+0
6
Essence
1
1
1
-
8
Essence
1
1
1

 

CIRCLE = 50 5+0 = 5 = 5+0 50 CIRCLE

1234 5 6789

ONE TWO THREE FOUR = 208 = 2+0+8 = 10 1+0 = 1
NINE EIGHT SEVEN SIX = 208 = 2+0+8 = 10 1+0 = 1

FIVE THE FULCRUM OF THE BALANCES

5FIVE5

THE SPIRIT LEVEL OF THE LEVEL SPIRIT

1234 5 6789

 

-
-
-
-
-
-
-
-
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
-
-
T
=
2
-
5
THREE
56
29
2
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
5
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
20
-
21
-
239
113
23
-
-
2+0
-
2+1
-
2+3+9
1+1+3
2+3
-
-
2
-
3
-
14
5
5
-
-
-
-
-
-
1+4
-
-
-
-
2
-
3
-
5
5
5

 

 

-
-
-
-
-
-
-
-
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
-
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
-
-
-
-
-
-
-
-
14
-
15
-
219
84
21
-
-
1+4
-
1+5
-
2+1+9
8+4
2+1
-
-
5
-
6
-
12
12
3
-
-
4+2
-
-
-
1+2
1+2
-
-
-
5
-
6
-
3
3
3

 

 

-
-
-
-
-
-
-
-
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
-
-
T
=
2
-
5
THREE
56
29
2
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
5
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
20
-
21
-
239
113
23
-
-
2+0
-
2+1
-
2+3+9
1+1+3
2+3
-
-
2
-
3
-
14
5
5
-
-
-
-
-
-
1+4
-
-
-
-
2
-
3
-
5
5
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
-
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
-
-
-
-
-
-
-
-
14
-
15
-
219
84
21
-
-
1+4
-
1+5
-
2+1+9
8+4
2+1
-
-
5
-
6
-
12
12
3
-
-
4+2
-
-
-
1+2
1+2
-
-
-
5
-
6
-
3
3
3
-
-
-
-
-
-
-
-
-

 

ONE THREE FIVE SEVEN NINE TWO FOUR SIX EIGHT

 

-
-
-
-
-
-
-
-
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
-
-
T
=
2
-
5
THREE
56
29
2
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
5
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
23
-
21
-
239
113
23
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
-
-
E
=
5
-
5
EIGHT
49
31
4
-
-
14
-
15
-
219
84
21
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
37
-
36
-
458
197
44
-
-
3+7
-
3+6
-
4+5+8
1+9+7
4+4
-
-
10
-
9
-
17
17
8
-
-
1+0
-
-
-
1+7
1+7
-
-
-
1
-
9
-
8
8
8

 

ONE THREE FIVE SEVEN NINE TWO FOUR SIX EIGHT

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
5
THREE
56
29
2
-
-
2
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
-
-
-
-
6
8
-
-
-
-
23
-
21
-
239
113
23
-
-
-
-
8
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
Z
=
8
-
4
ZERO
64
28
1
-
1
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
8
8
-
-
-
-
7
-
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
4
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
6
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
-
4
8
-
-
-
-
-
-
22
-
19
-
283
112
22
-
1
4
3
8
5
18
14
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+8
1+4
-
-
-
-
45
-
40
Add to Reduce
522
225
45
-
1
4
3
8
5
9
5
8
9
-
-
4+5
-
4+0
Reduce to Deduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
-
-
-
-
-
-
9
-
4
Essence of Number
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

-
-
-
-
5
FIVE
-
-
-
-
-
-
1
-
F
6
6
6
-
-
-
1
-
I
9
9
9
-
-
-
2
-
V+E
27
9
9
F
=
6
4
4
FIVE
42
24
24
-
-
-
-
-
-
4+2
2+4
2+4
F
=
6
4
4
FIVE
6
6
6

 

 

-
-
-
-
-
-
-
-
-
O
=
6
-
3
ONE
34
16
7
T
=
2
-
3
TWO
58
13
4
T
=
2
-
5
THREE
56
29
2
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
3
SIX
52
16
7
S
=
1
-
5
SEVEN
65
20
2
E
=
5
-
5
EIGHT
49
31
4
N
=
5
-
4
NINE
42
24
6
-
-
34
-
36
-
458
197
44
-
-
3+4
-
3+6
-
4+5+8
1+9+7
4+4
-
-
7
-
9
-
17
17
9
-
-
-
-
-
-
1+7
1+7
4+5
-
-
7
-
9
-
8
8
9

 

 

-
-
-
-
-
-
-
-
-
Z
=
8
-
4
ZERO
64
28
1
O
=
6
-
3
ONE
34
16
7
T
=
2
-
3
TWO
58
13
4
T
=
2
-
5
THREE
56
29
2
F
=
6
-
4
FOUR
60
24
6
F
=
6
-
4
FIVE
42
24
6
S
=
1
-
3
SIX
52
16
7
S
=
1
-
5
SEVEN
65
20
2
E
=
5
-
5
EIGHT
49
31
4
N
=
5
-
4
NINE
42
24
6
-
-
42
-
40
-
522
225
45
-
-
4+2
-
4+0
-
5+2+2
2+2+5
4+5
-
-
6
-
4
-
9
9
9

 

 

1
occurs
x
2
=
2
=
2
2
occurs
x
3
=
6
=
6
3
occurs
x
1
=
3
=
3
4
occurs
x
2
=
8
=
8
5
occurs
x
14
=
70
7+0
7
6
occurs
x
7
=
42
4+2
6
7
occurs
x
1
=
7
=
7
8
occurs
x
3
=
24
2+4
6
9
occurs
x
7
=
63
6+3
9
45
-
-
40
-
225
-
54
4+5
-
-
4+0
-
2+2+5
-
5+4
9
-
-
4
-
9
-
9

 

 

Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
8
-
-
6
-
6
5
-
-
-
-
6
-
-
8
-
-
-
-
-
6
-
-
-
-
9
-
-
-
1
9
6
-
1
-
-
-
5
-
-
9
-
8
-
-
5
9
5
-
112
26
-
-
15
-
15
14
-
-
-
-
15
-
-
8
-
-
-
-
-
15
-
-
-
-
9
-
-
-
19
9
24
-
19
-
-
-
14
-
-
9
-
8
-
-
14
9
14
-
256
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
5
9
-
-
-
-
5
-
2
5
-
-
2
-
9
5
5
-
6
-
3
9
-
6
-
4
5
-
-
-
-
-
-
5
4
5
-
-
5
-
7
-
2
-
-
-
-
5
113
-
5
18
-
-
-
-
5
-
20
23
-
-
20
-
18
5
5
-
6
-
21
18
-
6
-
22
5
-
-
-
-
-
-
5
22
5
-
-
5
-
7
-
20
-
-
-
-
5
266
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
26
5
18
15
-
15
14
5
-
20
23
15
-
20
8
18
5
5
-
6
15
21
18
-
6
9
22
5
-
19
9
24
-
19
5
22
5
14
-
5
9
7
8
20
-
14
9
14
5
522
8
5
9
6
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
225
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
5
-
-
-
--
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
5
5
-
5
-
-
-
-
-
5
-
5
5
5
-
-
-
6
-
6
-
-
-
-
--
6
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
8
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
9
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
45
-
5
-
-
-
--
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
5
5
-
5
-
-
5
5
-
-
-
-
5
4+5
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
9
8
5
9
6
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
-
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
9

 

 

1
occurs
x
2
=
2
=
2
2
occurs
x
3
=
6
=
6
3
occurs
x
1
=
3
=
3
4
occurs
x
2
=
8
=
8
5
occurs
x
14
=
70
7+0
7
6
occurs
x
7
=
42
4+2
6
7
occurs
x
1
=
7
=
7
8
occurs
x
3
=
24
2+4
6
9
occurs
x
7
=
63
6+3
9
45
-
-
40
-
225
-
54
4+5
-
-
4+0
-
2+2+5
-
5+4
9
-
-
4
-
9
-
9

 

 

Z
E
R
O
O
N
E
T
W
O
T
H
R
E
E
F
O
U
R
F
I
V
E
S
I
X
S
E
V
E
N
E
I
G
H
T
N
I
N
E
-
8
-
-
6
6
5
-
-
-
6
-
8
-
-
-
-
6
-
-
-
9
-
-
1
9
6
1
-
-
-
5
-
9
-
8
-
5
9
5
-
112
26
-
-
15
15
14
-
-
-
15
-
8
-
-
-
-
15
-
-
-
9
-
-
19
9
24
19
-
-
-
14
-
9
-
8
-
14
9
14
-
256
Z
E
R
O
O
N
E
T
W
O
T
H
R
E
E
F
O
U
R
F
I
V
E
S
I
X
S
E
V
E
N
E
I
G
H
T
N
I
N
E
-
-
5
9
-
-
-
5
2
5
-
2
-
9
5
5
6
-
3
9
6
-
4
5
-
-
-
-
5
4
5
-
5
-
7
-
2
-
-
-
5
113
-
5
18
-
-
-
5
20
23
-
20
-
18
5
5
6
-
21
18
6
-
22
5
-
-
-
-
5
22
5
-
5
-
7
-
20
-
-
-
5
266
Z
E
R
O
O
N
E
T
W
O
T
H
R
E
E
F
O
U
R
F
I
V
E
S
I
X
S
E
V
E
N
E
I
G
H
T
N
I
N
E
-
26
5
18
15
15
14
5
20
23
15
20
8
18
5
5
6
15
21
18
6
9
22
5
19
9
24
19
5
22
5
14
5
9
7
8
20
14
9
14
5
522
8
5
9
6
6
5
5
2
5
6
2
8
9
5
5
6
6
3
9
6
9
4
5
1
9
6
1
5
4
5
5
5
9
7
8
2
5
9
5
5
225
Z
E
R
O
O
N
E
T
W
O
T
H
R
E
E
F
O
U
R
F
I
V
E
S
I
X
S
E
V
E
N
E
I
G
H
T
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
2
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
-
5
-
-
--
5
5
-
5
-
-
-
-
5
5
-
-
-
-
-
-
-
5
-
-
-
-
5
-
5
5
5
-
-
-
-
5
-
5
5
5
-
-
-
6
6
-
-
-
--
6
-
-
-
-
-
6
6
-
-
6
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
8
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
9
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
9
Z
E
R
O
O
N
E
T
W
O
T
H
R
E
E
F
O
U
R
F
I
V
E
S
I
X
S
E
V
E
N
E
I
G
H
T
N
I
N
E
45
-
5
-
-
--
5
5
-
5
-
-
-
-
5
5
-
-
-
-
-
-
-
5
-
-
-
-
5
-
5
5
5
-
-
5
5
-
-
-
5
4+5
Z
E
R
O
O
N
E
T
W
O
T
H
R
E
E
F
O
U
R
F
I
V
E
S
I
X
S
E
V
E
N
E
I
G
H
T
N
I
N
E
9
8
5
9
6
6
5
5
2
5
6
2
8
9
5
5
6
6
3
9
6
9
4
5
1
9
6
1
5
4
5
5
5
9
7
8
2
5
9
5
5
-
Z
E
R
O
O
N
E
T
W
O
T
H
R
E
E
F
O
U
R
F
I
V
E
S
I
X
S
E
V
E
N
E
I
G
H
T
N
I
N
E
9

 

 

B
=
2
-
7
BREATHE
59
32
5
O
=
6
-
2
ON
29
11
2
M
=
4
-
2
ME
18
9
9
B
=
2
-
6
BREATH
54
27
9
O
=
6
-
2
OF
21
12
3
G
=
7
-
3
GOD
26
17
8
B
-
27
-
22
Add to Reduce
207
180
36
-
-
2+7
-
2+2
Reduce to Deduce
2+0+7
1+8+0
3+6
-
-
9
-
4
Essence of Number
9
9
9

 

 

-
-
-
-
9
NINE
-
-
-
-
-
-
1
-
N
14
5
5
-
-
-
1
-
I
9
9
9
-
-
-
2
-
N+E
19
10
1
N
=
5
4
4
NINE
42
24
15
-
-
-
-
-
-
4+2
2+4
1+5
N
=
5
3
4
NINE
6
6
6

 

 

-
-
-
-
0
ZERO
-
-
-
-
-
-
2
-
Z+E
31
13
4
-
-
-
1
-
R
18
9
9
-
-
-
1
-
O
15
6
6
Z
=
8
4
4
ZERO
64
28
19
-
-
-
-
-
-
9+1
1+9
1+9
Z
=
8
4
-
ZERO
10
10
10
-
-
-
-
-
-
1+0
1+0
1+0
Z
=
8
4
-
ZERO
10
10
10

 

 

-
-
-
-
1
ONE
-
-
-
-
-
-
1
-
O
15
6
6
-
-
-
1
-
N
14
5
5
-
-
-
1
-
E
5
5
5
O
=
6
3
4
ONE
34
16
16
-
-
-
-
-
-
3+4
1+6
1+6
O
=
6
3
4
ONE
7
7
7

 

 

-
-
-
-
2
TWO
-
-
-
-
-
-
1
-
T
20
2
2
-
-
-
1
-
W
23
5
5
-
-
-
1
-
O
15
6
6
T
=
2
3
4
TWO
58
13
13
-
-
-
-
-
-
5+8
1+3
1+3
T
=
2
3
4
TWO
13
4
4
-
-
-
-
-
-
1+3
-
-
T
=
2
3
4
TWO
4
4
4

 

 

-
-
-
-
3
THREE
-
-
-
-
-
-
1
-
T
20
2
2
-
-
-
1
-
H
8
8
8
-
-
-
1
-
R
18
9
9
-
-
-
2
-
E+E
10
10
1
T
=
2
5
4
THREE
56
29
20
-
-
-
-
-
-
5+6
2+9
2+0
T
=
2
5
4
THREE
11
11
2
-
-
-
-
-
-
1+1
1+1
-
T
=
2
5
4
THREE
2
2
2

 

 

-
-
-
-
4
FOUR
-
-
-
-
-
-
1
-
F
6
6
6
-
-
-
2
-
O+U
36
9
9
-
-
-
1
-
R
18
9
9
F
=
6
4
4
FOUR
60
24
24
-
-
-
-
-
-
6+0
2+4
2+4
F
-
6
4
4
FOUR
6
6
6

 

 

-
-
-
-
5
FIVE
-
-
-
-
-
-
1
-
F
6
6
6
-
-
-
1
-
I
9
9
9
-
-
-
2
-
V+E
27
9
9
F
=
6
4
4
FIVE
60
24
24
-
-
-
-
-
-
6+0
2+4
2+4
F
=
6
4
4
FIVE
6
6
6

 

 

-
-
-
-
6
SIX
-
-
-
-
-
-
1
-
S
19
10
1
-
-
-
1
-
I
9
9
9
-
-
-
1
-
X
24
6
6
S
=
1
3
4
SIX
52
25
16
-
-
-
-
-
-
5+2
2+5
1+6
S
=
1
3
4
SIX
7
7
7

 

 

-
-
-
-
7
SEVEN
-
-
-
-
-
-
1
-
S
19
10
1
-
-
-
2
-
E+V
27
9
9
-
-
-
2
-
E+N
19
10
1
S
=
1
5
4
SEVEN
65
29
11
-
-
-
-
-
-
6+5
2+9
1+1
S
=
2
5
4
SEVEN
11
11
2
-
-
-
-
-
-
1+1
1+1
-
S
=
2
5
4
SEVEN
2
2
2

 

 

-
-
-
-
8
EIGHT
-
-
-
-
-
-
1
-
E
5
5
5
-
-
-
1
-
I
9
9
9
-
-
-
3
-
G+H+T
35
17
8
E
=
5
5
4
EIGHT
49
31
4
-
-
-
-
-
-
4+9
3+1
-
E
=
5
5
4
EIGHT
13
4
4
-
-
-
-
-
-
1+3
-
-
E
=
5
5
4
EIGHT
4
4
4

 

 

-
-
-
-
9
NINE
-
-
-
-
-
-
1
-
N
14
5
5
-
-
-
1
-
I
9
9
9
-
-
-
2
-
N+E
19
10
1
N
=
5
4
4
NINE
42
24
15
-
-
-
-
-
-
4+2
2+4
1+5
N
=
5
3
4
NINE
6
6
6

 

 

-
-
-
10
-
TEN
--
-
-
-
-
-
-
1
T
20
2
2
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
T
=
2
10
3
TEN
39
12
12
-
-
-
-
-
-
3+9
1+2
1+2
T
=
2
10
3
TEN
12
3
3
-
-
-
-
-
-
1+2
-
-
T
=
2
10
3
TEN
3
3
3

 

 

-
-
-
11
-
ELEVEN
--
-
-
-
-
-
-
3
E+L+E
22
13
4
-
-
-
-
2
V+E
27
9
9
-
-
-
-
1
N
14
5
5
E
=
5
11
6
ELEVEN
63
27
18
-
-
-
-
-
-
6+3
2+7
1+8
E
=
5
11
6
ELEVEN
9
9
9

 

 

-
-
-
11
-
ELEVEN
--
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
L
12
3
3
-
-
-
-
1
E
5
5
5
-
-
-
-
1
V
22
4
4
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
E
=
5
11
6
ELEVEN
63
27
27
-
-
-
-
-
-
6+3
2+7
2+7
E
=
5
11
6
ELEVEN
9
9
9

 

 

-
-
-
12
-
TWELVE
--
-
-
-
-
-
-
4
T+W+E+L
60
15
6
-
-
-
-
2
V+E
27
9
9
T
=
2
12
6
TWELVE
87
24
15
-
-
-
-
-
-
8+7
2+4
1+5
T
=
2
12
6
TWELVE
15
6
6
6
-
-
-
-
-
1+5
-
-
T
=
2
12
6
TWELVE
6
6
6

 

 

-
-
-
12
-
TWELVE
--
-
-
-
-
-
-
1
T
20
2
2
-
-
-
-
1
W
23
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
L
12
3
3
-
-
-
-
1
V
22
4
4
-
-
-
-
1
E
5
5
5
T
=
2
12
6
TWELVE
87
24
24
-
-
-
-
-
-
8+7
2+4
2+4
T
=
2
12
6
TWELVE
15
6
6
6
-
-
-
-
-
1+5
-
-
T
=
2
12
6
TWELVE
6
6
6

 

TEN ELEVEN TWELVE

 

N
U
M
B
E
R
S
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
TEN
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
T
-
-
-
12
-
3
TEN
39
12
1+2
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ELEVEN
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
L
=
3
-
-
L
12
3
3
-
-
-
-
-
3
-
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
-
-
5
-
-
-
-
E
-
-
-
27
-
6
ELEVEN
63
27
2+7
=
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
TWELVE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
-
T
20
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
L
=
3
-
-
L
12
3
3
-
-
-
-
-
3
-
-
-
-
-
-
-
-
V
=
4
-
-
V
22
4
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
-
-
5
-
-
-
-
T
-
-
-
45
-
6
TWELVE
87
24
2+4
=
6
-
1
4
6
8
45
6
7
8
9
-
-
-
-
4+5
-
-
-
-
-
-
-
-
-
-
-
-
-
4+5
-
-
-
-
-
-
-
-
9
70
15
ADD
189
63
63
-
45
-
1
4
6
8
9
6
7
8
9
-
-
-
-
-
7+0
1+5
REDUCE
1+8+0
6+3
6+3
-
4+5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
7
6
DEDUCE
9
9
9
-
9
-
1
4
6
8
9
6
7
8
9

 

 

N
U
M
B
E
R
S
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
T
=
2
-
-
T
20
2
2
-
-
1
2
-
-
-
6
7
8
9
2
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
3
-
N
=
5
5
-
N
14
5
5
-
-
1
-
-
-
5
6
7
8
9
4
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
5
-
L
=
3
-
-
L
12
3
3
-
-
1
-
3
-
-
6
7
8
9
6
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
7
-
V
=
4
-
-
V
22
4
4
-
-
1
-
-
4
-
6
7
8
9
8
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
9
-
N
=
5
5
-
N
14
5
5
-
-
1
-
-
-
5
6
7
8
9
10
-
T
=
2
-
-
T
20
2
2
-
-
1
2
-
-
-
6
7
8
9
11
-
W
=
5
5
-
W
23
5
5
-
-
1
-
-
-
5
6
7
8
9
12
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
13
-
L
=
3
-
-
L
12
3
3
-
-
1
-
3
-
-
6
7
8
9
14
-
V
=
4
-
-
V
22
4
4
-
-
1
-
-
4
-
6
7
8
9
15
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
-
-
-
-
63
-
-
-
-
-
-
-
-
1
4
6
8
45
6
7
8
9
-
-
-
-
6+3
-
-
-
-
-
-
-
-
1
-
-
-
4+5
6
7
8
9
-
-
-
-
9
70
15
ADD
189
63
63
-
-
1
4
6
8
9
6
7
8
9
-
-
-
-
-
7+0
1+5
REDUCE
1+8+0
6+3
6+3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
7
6
DEDUCE
9
9
9
-
-
1
4
6
8
9
6
7
8
9

 

TEN ELEVEN TWELVE

 

N
U
M
B
E
R
S
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
T
=
2
-
-
T
20
2
2
-
-
1
2
-
-
-
6
7
8
9
10
-
T
=
2
-
-
T
20
2
2
-
-
1
2
-
-
-
6
7
8
9
5
-
L
=
3
-
-
L
12
3
3
-
-
1
-
3
-
-
6
7
8
9
13
-
L
=
3
-
-
L
12
3
3
-
-
1
-
3
-
-
6
7
8
9
7
-
V
=
4
-
-
V
22
4
4
-
-
1
-
-
4
-
6
7
8
9
14
-
V
=
4
-
-
V
22
4
4
-
-
1
-
-
4
-
6
7
8
9
2
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
3
-
N
=
5
5
-
N
14
5
5
-
-
1
-
-
-
5
6
7
8
9
4
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
6
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
8
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
9
-
N
=
5
5
-
N
14
5
5
-
-
1
-
-
-
5
6
7
8
9
11
-
W
=
5
5
-
W
23
5
5
-
-
1
-
-
-
5
6
7
8
9
12
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
15
-
E
=
5
5
-
E
5
5
5
-
-
1
-
-
-
5
6
7
8
9
-
-
-
-
63
-
-
-
-
-
-
-
-
1
4
6
8
45
6
7
8
9
-
-
-
-
6+3
-
-
-
-
-
-
-
-
1
-
-
-
4+5
6
7
8
9
-
-
-
-
9
70
15
ADD
189
63
63
-
-
1
4
6
8
9
6
7
8
9
-
-
-
-
-
7+0
1+5
REDUCE
1+8+0
6+3
6+3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
7
6
DEDUCE
9
9
9
-
-
1
4
6
8
9
6
7
8
9

 

TEN ELEVEN TWELVE

 

N
U
M
B
E
R
S
-
-
-
-
-
-
2
3
4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
T
=
2
-
-
T
20
2
2
-
-
2
-
-
-
10
-
T
=
2
-
-
T
20
2
2
-
-
2
-
-
-
5
-
L
=
3
-
-
L
12
3
3
-
-
-
3
-
-
13
-
L
=
3
-
-
L
12
3
3
-
-
-
3
-
-
7
-
V
=
4
-
-
V
22
4
4
-
-
-
-
4
-
14
-
V
=
4
-
-
V
22
4
4
-
-
-
-
4
-
2
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
5
3
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
5
4
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
5
6
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
5
8
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
5
9
-
N
=
5
5
-
N
14
5
5
-
-
-
-
-
5
11
-
W
=
5
5
-
W
23
5
5
-
-
-
-
-
5
12
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
5
15
-
E
=
5
5
-
E
5
5
5
-
-
-
-
-
5
-
-
-
-
63
-
-
-
-
-
-
-
-
4
6
8
45
-
-
-
-
6+3
-
-
-
-
-
-
-
-
-
-
-
4+5
-
-
-
-
9
70
15
ADD
189
63
63
-
-
4
6
8
9
-
-
-
-
-
7+0
1+5
REDUCE
1+8+0
6+3
6+3
-
-
-
-
-
-
-
-
-
-
9
7
6
DEDUCE
9
9
9
-
-
4
6
8
9

 

TEN ELEVEN TWELVE

 

THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
THIRTEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
3
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
4
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
5
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
6
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
7
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
8
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
45
-
8
THIRTEEN
99
45
45
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FOURTEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
9
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
U
=
3
11
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
13
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
16
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
41
-
8
FOURTEEN
104
41
41
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FIFTEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
17
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
I
=
9
18
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
F
=
6
19
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
21
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
22
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
23
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
38
-
7
FIFTEEN
65
38
38
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIXTEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
24
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
25
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
X
=
6
26
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
T
=
2
27
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
28
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
29
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
30
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
33
-
7
SIXTEEN
96
42
33
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SEVENTEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
31
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
E
=
5
32
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
V
=
4
33
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
34
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
35
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
36
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
37
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
38
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
39
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
37
-
9
SEVENTEEN
109
46
37
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
EIGHTEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
40
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
41
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
G
=
7
42
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
43
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
T
=
2
44
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
45
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
46
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
47
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
46
-
8
EIGHTEEN
73
46
46
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
48
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
49
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
50
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
51
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
52
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
53
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
54
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
55
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
41
-
8
NINETEEN
86
41
41
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
281
-
55
First Total
632
299
281
-
2
16
3
4
140
30
7
16
63
-
-
2+8+1
-
5+5
Add to Reduce
6+3+2
2+9+9
2+8+1
-
-
1+6
-
-
1+4+0
3+0
-
1+6
1+2
-
-
11
-
10
Second Total
11
11
11
-
2
7
3
4
5
3
7
7
9
-
-
1+1
-
1+0
Reduce to Deduce
1+1
1+1
1+1
-
-
-
-
-
-
-
-
-
-
-
-
2
-
1
Essence of Number
2
2
2
-
2
7
3
4
5
3
7
7
9

 

 

-
-
-
-
TEEN
--
-
-
-
-
-
1
T
20
2
2
-
-
-
1
E
5
5
5
-
-
-
1
E
5
5
5
-
-
-
1
N
14
5
5
T
=
2
4
TEEN
44
17
17
-
-
-
-
-
4+4
1+7
1+7
T
=
2
4
TEEN
8
8
8

 

 

-
-
-
13
-
THIRTEEN
--
-
-
-
-
-
-
2
T+H
28
10
1
-
-
-
-
1
I
9
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
4
T+E+E+N
44
17
8
T
=
2
13
8
THIRTEEN
99
45
27
-
-
-
-
-
-
9+9
4+5
2+7
T
=
2
13
8
THIRTEEN
18
9
9
6
-
-
-
-
-
1+8
-
-
T
=
2
13
8
THIRTEEN
9
9
9

 

 

-
-
-
13
-
THIRTEEN
--
-
-
-
-
-
-
1
T
20
2
2
-
-
-
-
1
H
8
8
8
-
-
-
-
1
I
9
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
1
T
20
2
2
-
-
-
-
1
E
5
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
T
=
2
13
8
THIRTEEN
99
45
27
-
-
-
-
-
-
9+9
4+5
2+7
T
=
2
13
8
THIRTEEN
18
9
9
6
-
-
-
-
-
1+8
-
-
T
=
2
13
8
THIRTEEN
9
9
9

 

 

-
-
-
14
-
FOURTEEN
--
-
-
-
-
-
-
1
F
6
6
6
-
-
-
-
2
O+U
36
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
4
T+E+E+N
44
17
8
F
=
6
14
8
FOURTEEN
104
41
32
-
-
-
-
-
-
1+0+4
4+1
3+2
F
=
6
14
8
FOURTEEN
5
5
5

 

 

-
-
-
14
-
FOURTEEN
--
-
-
-
-
-
-
1
F
6
6
6
-
-
-
-
1
O
15
6
6
-
-
-
-
1
U
21
3
3
-
-
-
-
1
R
18
9
9
-
-
-
-
1
T
20
2
2
-
-
-
-
1
E
5
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
F
=
6
14
8
FOURTEEN
104
41
32
-
-
-
-
-
-
1+0+4
4+1
3+2
F
=
6
14
8
FOURTEEN
5
5
5

 

 

-
-
-
15
-
FIFTEEN
--
-
-
-
-
-
-
1
F
6
6
6
-
-
-
-
1
I
9
9
9
-
-
-
-
5
F+T+E+E+N
50
23
5
F
=
6
15
7
FIFTEEN
65
38
20
-
-
-
-
-
-
6+5
3+8
2+0
F
=
6
15
7
FIFTEEN
11
11
2
6
-
-
-
-
-
1+1
1+1
-
F
=
6
15
7
FIFTEEN
2
2
2

 

 

-
-
-
15
-
FIFTEEN
--
-
-
-
-
-
-
1
F
6
6
6
-
-
-
-
1
I
9
9
9
-
-
-
-
1
F
6
6
6
-
-
-
-
1
T
20
2
2
-
-
-
-
1
E
5
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
F
=
6
15
7
FIFTEEN
65
38
20
-
-
-
-
-
-
6+5
3+8
2+0
F
=
6
15
7
FIFTEEN
11
11
2
6
-
-
-
-
-
1+1
1+1
-
F
=
6
15
7
FIFTEEN
2
2
2

 

 

-
-
-
16
-
SIXTEEN
--
-
-
-
-
-
-
1
S
19
10
1
-
-
-
-
1
I
9
9
9
-
-
-
-
4
X+T+E+E
54
18
9
-
-
-
-
1
N
14
5
5
S
=
1
16
7
SIXTEEN
96
42
24
-
-
-
-
-
-
9+6
4+2
2+4
S
=
1
16
7
SIXTEEN
15
6
6
6
-
-
-
-
-
1+5
-
-
S
=
1
16
7
SIXTEEN
6
6
6

 

 

-
-
-
16
-
SIXTEEN
--
-
-
-
-
-
-
1
S
19
10
1
-
-
-
-
1
I
9
9
9
-
-
-
-
1
X
24
6
6
-
-
-
-
1
T
20
2
2
-
-
-
-
1
E
5
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
S
=
1
16
7
SIXTEEN
96
42
33
-
-
-
-
-
-
9+6
4+2
3+3
S
=
1
16
7
SIXTEEN
15
6
6
6
-
-
-
-
-
1+5
-
-
S
=
1
16
7
SIXTEEN
6
6
6

 

 

-
-
-
17
-
SEVENTEEN
--
-
-
-
-
-
-
1
S
19
10
1
-
-
-
-
2
E+V
27
9
9
-
-
-
-
6
E+N+T+E+E+N
63
27
9
S
=
1
17
9
SEVENTEEN
109
46
19
-
-
-
-
-
-
1+0+9
4+6
1+9
S
=
1
17
9
SEVENTEEN
10
10
10
6
-
-
-
-
-
1+0
1+0
1+0
S
=
1
17
9
SEVENTEEN
1
1
1

 

 

-
-
-
17
-
SEVENTEEN
--
-
-
-
-
-
-
1
S
19
10
1
-
-
-
-
1
E
5
5
5
-
-
-
-
1
V
22
4
4
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
T
20
2
2
-
-
-
-
1
E
5
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
S
=
1
17
9
SEVENTEEN
109
46
19
-
-
-
-
-
-
1+0+9
4+6
1+9
S
=
1
17
9
SEVENTEEN
10
10
10
6
-
-
-
-
-
1+0
1+0
1+0
S
=
1
17
9
SEVENTEEN
1
1
1

 

 

-
-
-
18
-
EIGHTEEN
--
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
I
9
9
9
-
-
-
-
5
G+H+T+E+E
45
27
9
-
-
-
-
1
N
14
5
5
E
=
5
18
8
EIGHTEEN
73
46
28
-
-
-
-
-
-
7+3
4+6
2+8
E
=
5
18
8
EIGHTEEN
10
10
10
6
-
-
-
-
-
1+0
1+0
1+0
E
=
5
18
8
EIGHTEEN
1
1
1

 

 

-
NINETEEN
171
81
9
-
9
1
N
14
5
5
-
5
1
I
9
9
9
-
9
1
N
14
5
5
-
5
1
E
5
5
5
-
5
1
T
20
2
2
-
9
1
E
5
5
5
-
5
1
E
5
5
5
-
5
1
N
14
5
5
-
5
8
NINETEEN
86
41
41
-
30
-
-
8+6
4+1
4+1
-
3+0
8
NINETEEN
14
5
5
-
3
-
9
1+4
-
-
-
-
8
NINETEEN
5
5
5
-
3

 

 

N
5
-
8
NINETEEN
-
-
-
-
-
-
1
N
14
5
5
-
-
-
1
I
9
9
9
-
-
-
1
N
14
5
5
-
-
-
1
E
5
5
5
-
-
-
1
T
20
2
2
-
-
-
1
E
5
5
5
-
-
-
1
E
5
5
5
-
-
-
1
N
14
5
5
N
5
-
8
NINETEEN
86
41
41
-
-
-
-
-
8+6
4+1
4+1
N
5
-
8
NINETEEN
14
41
41
-
-
-
-
-
1+4
4+1
4+1
N
5
-
8
NINETEEN
5
5
5

 

 

-
TEEN
--
-
-
1
T
20
2
2
3
E+E+N
24
15
6
4
TEEN
44
17
8
-
-
4+4
1+7
-
4
TEEN
8
8
8

 

 

-
-
-
-
TEEN
--
-
-
-
-
-
1
T
20
2
2
-
-
-
1
E
5
5
5
-
-
-
1
E
5
5
5
-
-
-
1
N
14
5
5
T
=
2
4
TEEN
44
17
17
-
-
-
-
-
4+4
1+7
1+7
T
=
2
4
TEEN
8
8
8

 

TEN ELEVEN TWELVE THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN

T55 5L5V55 T55LV5 THIRT555 FOURT555 FIFT555 SIXT555 S5V55T555 5IGHT555 5I55T555

TEN ELEVEN TWELVE THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN

5 X 37 X 5

LOOK AT THE 5FIVES LOOK AT THE 5FIVES LOOK AT THE 5FIVES THE 5FIVES THE 5FIVES

 

 

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

O55 T5O THR55 FOUR FIV5 SIX S5V55 5IGHT 5I55

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

5 X 13 X 5

TEN ELEVEN TWELVE THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN

5 X 37 X 5

 

ZERO 5 X 1 X 5 ZERO

 

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

5 X 13 X 5

5 X 37 X 5

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

5 X 50 X 5

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

TWENTY 5 X 3 X 5 TWENTY

 

 

www.merriam-webster.com/dictionary/algorithm

a procedure for solving a mathematical problem (as of finding the greatest common divisor) in a finite number of steps that frequently involves repetition of an ...

algorithm [ˈælgəˌrɪðəm]
n
1. (Mathematics) a logical arithmetical or computational procedure that if correctly applied ensures the solution of a problem Compare heuristic
2. (Mathematics) Logic Maths a recursive procedure whereby an infinite sequence of terms can be generated Also called algorism
[changed from algorism, through influence of Greek arithmos number]
algorithmic adj
aal·go·rithm (lg-rm)
n.
A step-by-step problem-solving procedure, especially an established, recursive computational procedure for solving a problem in a finite number of steps.
algorithmically adv

algorithm (lg-rthm)
A finite set of unambiguous instructions performed in a prescribed sequence to achieve a goal, especially a mathematical rule or procedure used to compute a desired result. Algorithms are the basis for most computer programming.

Noun 1. algorithm - a precise rule (or set of rules) specifying how to solve some problem
algorithmic program, algorithmic rule
formula, rule - (mathematics) a standard procedure for solving a class of mathematical problems; "he determined the upper bound with Descartes' rule of signs"; "he gave us a general formula for attacking polynomials"
sorting algorithm - an algorithm for sorting a list
stemming algorithm, stemmer - an algorithm for removing inflectional and derivational endings in order to reduce word forms to a common stem algorithm
any methodology for solving a certain kind of problem.
See also: Mathematics

 

A
=
1
-
9
ALGORITHM
103
49
4
A
=
1
-
10
ALGORITHMS
122
59
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
-
-
ALGORITHMS
-
-
-
-
-
-
-
1
A
1
1
1
-
-
-
-
1
L
12
3
3
-
-
-
-
1
G
7
7
7
-
-
-
-
1
O
15
6
6
-
-
-
-
1
R
18
9
9
-
-
-
-
1
I
9
9
9
-
-
-
-
1
T
20
2
2
-
-
-
-
1
H
8
8
8
-
-
-
-
1
M+S
32
14
5
A
=
1
-
10
ALGORITHMS
122
59
50
-
-
-
-
1+0
-
1+2+2
5+9
5+0
A
=
1
-
1
ALGORITHMS
5
14
5
-
-
-
-
-
-
-
1+4
-
A
=
1
-
1
ALGORITHMS
5
5
5

 

 

15
ONE TWO THREE FOUR
208
82
1
4
FIVE
42
24
6
17
NINE EIGHT SEVEN SIX
208
91
1

 

 

A
=
1
-
10
ALGORITHMS
122
59
5
A
=
1
-
9
ALGORITHM
103
49
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ALGORITHM
-
-
-
A
=
1
-
1
A
1
1
1
T
=
2
-
1
T
20
2
2
L
=
3
-
1
L
12
3
3
M
=
4
-
1
M
13
4
4
5
-
5
-
-
5
-
-
5
O
=
6
-
1
O
15
6
6
G
=
7
-
1
G
7
7
7
H
=
8
-
1
H
8
8
8
R
=
9
-
1
R
18
9
9
I
=
9
-
1
I
9
9
9
-
-
49
-
9
ALGORITHM
103
49
49
-
-
4+9
-
-
-
1+0+3
4+9
4+9
-
-
13
-
9
ALGORITHM
103
13
13
-
-
1+3
-
-
-
-
1+3
1+3
-
-
4
-
9
ALGORITHM
103
4
4

 

 

15
ONE TWO THREE FOUR
208
82
1
4
FIVE
42
24
6
17
NINE EIGHT SEVEN SIX
208
91
1

 

 

A
=
1
-
10
ALGORITHMS
122
59
5
A
=
1
-
9
ALGORITHM
103
49
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ALGORITHM
-
-
-
A
=
1
-
1
A
1
1
1
L
=
3
-
1
L
12
3
3
G
=
7
-
1
G
7
7
7
O
=
6
-
1
O
15
6
6
R
=
9
-
1
R
18
9
9
I
=
9
-
1
I
9
9
9
T
=
2
-
1
T
20
2
2
H
=
8
-
1
H
8
8
8
M
=
4
-
1
M
13
4
4
-
-
49
-
9
ALGORITHM
103
49
49
-
-
4+9
-
-
-
1+0+3
4+9
4+9
-
-
13
-
9
ALGORITHM
103
13
13
-
-
1+3
-
-
-
-
1+3
1+3
-
-
4
-
9
ALGORITHM
103
4
4

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
ALGORITHMS
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
1
1
A
1
1
1
-
1
-
-
-
5
-
-
-
-
L
=
3
2
1
L
12
3
3
-
-
-
3
-
5
-
-
-
-
G
=
7
3
1
G
7
7
7
-
-
-
-
-
5
-
7
-
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
5
6
-
-
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
5
-
-
-
9
I
=
9
6
1
I
9
9
9
-
-
-
-
-
5
-
-
-
9
T
=
2
7
1
T
20
2
2
-
-
2
-
-
5
-
-
-
-
H
=
8
8
1
H
8
8
8
-
-
-
-
-
5
-
-
8
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
5
-
-
-
-
S
=
1
10
1
S
1
1
1
-
1
-
-
-
5
-
-
-
-
-
-
50
-
10
ALGORITHMS
122
50
50
-
2
2
3
4
5
6
7
8
18
-
-
5+0
-
1+0
-
1+2+2
5+5
5+0
-
-
-
-
-
-
-
-
-
1+8
-
-
5
-
1
ALGORITHMS
5
5
5
-
2
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
6
7
8
9
-
-
-
-
-
ALGORITHMS
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
-
-
-
L
=
3
2
1
L
12
3
3
-
-
-
3
-
-
-
-
-
G
=
7
3
1
G
7
7
7
-
-
-
-
-
-
7
-
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
6
-
-
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
-
9
I
=
9
6
1
I
9
9
9
-
-
-
-
-
-
-
-
9
T
=
2
7
1
T
20
2
2
-
-
2
-
-
-
-
-
-
H
=
8
8
1
H
8
8
8
-
-
-
-
-
-
-
8
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
-
-
S
=
1
10
1
S
1
1
1
-
1
-
-
-
-
-
-
-
-
-
50
-
10
ALGORITHMS
122
50
50
-
2
2
3
4
6
7
8
18
-
-
5+0
-
1+0
-
1+2+2
5+5
5+0
-
-
-
-
-
-
-
-
1+8
-
-
5
-
1
ALGORITHMS
5
5
5
-
2
2
3
4
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
ALGORITHMS
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
1
1
A
1
1
1
-
1
-
-
-
5
-
-
-
-
S
=
1
10
1
S
1
1
1
-
1
-
-
-
5
-
-
-
-
T
=
2
7
1
T
20
2
2
-
-
2
-
-
5
-
-
-
-
L
=
3
2
1
L
12
3
3
-
-
-
3
-
5
-
-
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
5
-
-
-
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
5
6
-
-
-
G
=
7
3
1
G
7
7
7
-
-
-
-
-
5
-
7
-
-
H
=
8
8
1
H
8
8
8
-
-
-
-
-
5
-
-
8
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
5
-
-
-
9
I
=
9
6
1
I
9
9
9
-
-
-
-
-
5
-
-
-
9
-
-
50
-
10
ALGORITHMS
122
50
50
-
2
2
3
4
5
6
7
8
18
-
-
5+0
-
1+0
-
1+2+2
5+5
5+0
-
-
-
-
-
-
-
-
-
1+8
-
-
5
-
1
ALGORITHMS
5
5
5
-
2
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
6
7
8
9
-
-
-
-
-
ALGORITHMS
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
-
-
-
S
=
1
10
1
S
1
1
1
-
1
-
-
-
-
-
-
-
T
=
2
7
1
T
20
2
2
-
-
2
-
-
-
-
-
-
L
=
3
2
1
L
12
3
3
-
-
-
3
-
-
-
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
-
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
6
-
-
-
G
=
7
3
1
G
7
7
7
-
-
-
-
-
-
7
-
-
H
=
8
8
1
H
8
8
8
-
-
-
-
-
-
-
8
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
-
9
I
=
9
6
1
I
9
9
9
-
-
-
-
-
-
-
-
9
-
-
50
-
10
ALGORITHMS
122
50
50
-
2
2
3
4
6
7
8
18
-
-
5+0
-
1+0
-
1+2+2
5+5
5+0
-
-
-
-
-
-
-
-
1+8
-
-
5
-
1
ALGORITHMS
5
5
5
-
2
2
3
4
6
7
8
9

 

 

F
=
6
-
3
FOR
39
21
3
E
=
5
-
5
EVERY
75
30
3
A
=
1
-
6
ACTION
62
26
8
T
=
2
-
5
THERE
56
29
2
I
=
9
-
2
IS
28
19
1
A
=
1
-
2
AN
15
6
6
E
=
5
-
5
EQUAL
56
20
2
A
=
1
-
3
AND
19
10
1
O
=
6
-
8
OPPOSITE
115
43
7
R
=
9
-
8
REACTION
85
40
4
-
-
45
4
46
First Total
550
244
37
-
-
4+5
-
4+6
Add to Reduce
5+5+0
2+4+4
3+7
Q
-
9
-
10
Second Total
10
10
10
-
-
-
4
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
9
5
1
Essence of Number
1
1
1

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
5
ADDED
18
18
9
-
-
-
-
-
-
-
-
-
9
T
=
2
-
2
TO
35
8
8
-
-
-
-
-
-
-
-
8
-
A
=
1
-
3
ALL
25
7
7
-
-
-
-
-
-
-
7
-
-
M
=
4
-
5
MINUS
76
22
4
-
-
-
-
4
-
-
-
-
-
N
=
5
-
4
NONE
48
21
3
-
-
-
3
-
-
-
-
-
-
S
=
1
-
6
SHARED
55
28
1
-
1
-
-
-
-
-
-
-
-
B
=
2
-
2
BY
27
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
-
-
7
-
-
M
=
4
-
10
MULTIPLIED
121
49
4
-
-
-
-
4
-
-
-
-
-
I
=
9
-
2
IN
23
14
5
-
-
-
-
-
5
-
-
-
-
A
=
1
-
9
ABUNDANCE
65
29
2
-
-
2
-
-
-
-
-
-
-
-
-
35
-
58
First Total
626
266
59
-
1
2
3
8
5
6
14
8
18
-
-
3+5
-
5+8
Add to Reduce
6+2+6
2+6+6
5+9
-
-
-
-
-
-
-
1+4
-
1+8
-
-
8
-
13
Second Total
14
14
14
-
1
2
3
8
5
6
5
8
9
-
-
-
-
1+3
Reduce to Deduce
1+4
1+4
1+4
-
-
-
-
-
-
-
-
-
-
-
-
8
-
4
Essence of Number
5
5
5
-
1
2
3
8
5
6
5
8
9

 

 

 

 

The greatest nine-digit number that can be made using nine different digits is 987,654,321. Using the number zero only makes the largest possible number smaller. To create the largest possible nine-digit number, the hundred-millions digit must be the biggest digit.

What Is the Greatest Nine-Digit Number You Can Make Using Nine ...
https://www.reference.com/.../greatest-nine-digit-number-can-make-using-nine-different...

 

What is the largest 9-digit number? - Quora
https://www.quora.com/What-is-the-largest-9-digit-number

5 Jun 2018 - In base , the largest nine-digit number is. In words this is nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine

Nancy Mitchell
Answered Jun 19, 2018 ·

Originally Answered: What is the largest 9 digit number?

What is the largest 9 digit number?

In base 10 10, the largest nine-digit number is

999,999,999. 999,999,999.

In words this is nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine.

 

 

DAILY MAIL

ANSWERS TO CORRESPONDENTS

Compiled by James Black and Charles Legge

Friday, March 17, 2006

QUESTION

Why are goods priced at 99p, and not a full pound?

"Further to the earlier answer, noting that the main reason is psychological, there is nothing new about this common practice. . . "

 

 

And as imagination bodies forth
The forms of things unknown, the poet's pen
Turns them to shapes and gives to airy nothing
A local habitation and a name.

Midsummer Night's Dream, Act V, Scene 1 :|: Open Source Shakespeare

 

 

https://owlcation.com › Humanities

The Greek Myth of the Wanderings of Io, the Woman Transformed to a Cow

Updated on May 15, 2016

Sarah L Maguire

Sarah has a PhD in Classical Civilisation from Swansea University. She continues to write on the Ancient World and other topics.

15 May 2016 - The Greek Myth of Io, turned into a cow by Zeus and pursued through the world by ... She continues to write on the Ancient World and other topics. ... Then the heifer began scratching with her hoof in the dust of the riverbank. ... The strait of the Bosphorus, now in Turkey was said to take its name as the place ...
Io is Guarded by Hundred-Eyed Argus the Herdsman

Hera, in turn, placed the cow in the custody of a herdsman called Argus, who was possessed of one hundred eyes in his head.

Each day, Argus would drive poor Io to pasture, his at least some of his many eyes always upon her as she grazed, while at night the girl was tethered by the neck to an olive tree in the grove of the Heraion.

One day, by chance, Argus brought Io to the meadow by her father's riverbank. Taking the opportunity, Io rushed up to her father and sisters and succeeded in getting their attention by her beauty and friendly demeanour. Soon her family were around her, petting her admiringly, not knowing, of course, that this was their beloved Io. Then the heifer began scratching with her hoof in the dust of the riverbank. The scratches became recognisable as letters and the astonished Inachus was able to read the story of what had happened to his daughter and realise that she stood before him, transformed to a beast of the field.

As Inachus embraced Io and lamented her fate bitterly, the remorseless Argus came stamping up and drove the heifer away from her family to another pasture.

 

Then the heifer began scratching with her hoof in the dust of the riverbank. The scratches became recognisable as letters and the astonished Inachus was able to read the story of what had happened to his daughter and realise that she stood before him, transformed to a beast of the field.

 

 

LOOKING FOR THE ALIENS

A PSYCHOLOGICAL, SCIENTIFIC AND IMAGINATIVE INVESTIGATION

Peter Hough & Jenny Randles 1991

12

Page 98

Somewhere over the Interstellar Rainbow

"In 1985, Glasgow University astronomer Professor Archie Roy was in buoyant mood. He told a journalist from the London Observer that, with new efforts to search the universe for intelligent signals, 'we can expect to make contact very quickly, probably within a decade.' He added that he thought civilizations were 'ten a penny' in the cosmos.

A year later, in an interview with Paul Whitehead in Flying Saucer Reuiew (volume 31, number 3,1986) Professor Roy confirmed this view by saying, 'if we are the product of natural evolution, it is highly improbable that we are alone in the universe.' Presumably this leaves the door open just in case we are not solely the product of natura1 processes (as scientists understandably assume), but are also the creation of a mystic force, otherwise known as God.

Roy actively pursues his broad1y based interest in this search. He subsequently became associated with Flying Saucer Review, and he has also become an active researcher and spokesperson in the heated debate over the potential 'alien' messages said by some to lie behind those crop circles recently found dotting the rural landscapes of our world.
However, the astronomer's seemingly reasonable hopes are, as yet, a long way from being fulfilled. Contact is proving unexpectedly elusive, which has led to some quite contradictory statements.

For instance, in 1981 Michael Papagiannis, of the astronomy department at Boston University, said that:

The euphoric optimism of the 'sixties and early 'seventies that communication with extraterrestrial civilizations seemed quite possible is being slowly replaced in the last couple of years by a pessimistic acceptance that we might be the only technological civilization in the entire galaxy.
(Royal Astronomical Society journal, volume 19, pp.277-281)

One can hardly find more polarized opinions than these, and they represent a crucial debate that increasingly dominates the field. While there seems to be a gut reaction based on deductive logic shared by most scientists, implying that life should be 'out there' in great abundance, there is mounting concern at our continued failure to find it.

Long before we understood the universe in any detail, we dreamt about this quest for alien life, and, as we have seen, still speculate on /Page 99 / what forms such beings might take. When science fiction became popular during the last century, we even began to wonder how we might establish contact.

Early ideas were ingenious, but impractical: such as building a giant mirror and using sunlight to send Morse-code signals to the (then still plausible) inhabitants of the moon or Mars. Of course, the limitations of physics meant that this could never work, even if there were Martians to see the signals. Only the brightest light that we can produce (a nuclear explosion) is potentially visible from another world and this lasts such a brief time that it is hardly likely to produce incontrovertible proof of life on earth. Alien scientists would dismiss any sightings just as freely as ours now reject claims about UFO appearances.

Another problem concerned the code to be used. How could the Martians have recognized the message, even if they had been able to see it? To thcm it would have been a meaningless series of flashes. How would they have unravelled any meaning behind it?

This problem exists even if it is assumed (as it nearly always was back then) that Martians, although probably looking like bug-eyed monsters, would still think like human beings. The truth is surely that aliens would be alien in every way and their thought processes would not work in the same manner as ours. That said, the chances of any message from us to them being remotely comprehensible appear to be feeble.

In science-fiction stories and films, such a problem is largely ignored, but that is merely an expediency to help the plot along. We suspend scientific logic to accommodate the story line. However, in any real search for life in the universe, we cannot afford to ignore such scientific reasoning. This complicates matters so much that one or two researchers even think it is a forlorn task. We will never communicate with an alien intelligence, even if we do come across one by chance. The result will be like a farmer staring at a cow and attempting to convey, by spoken language or gesture, why it has to go peacefully to the slaughterhouse.
These problems receive too little attention, even today. Our ability to humanize the aliens is an extreme failure on our part, which academics refer to as 'anthropomorphism'

Page 99

"The result will be like a farmer staring at a cow and attempting to convey, by spoken language or gesture, why it has to go peacefully to the slaughterhouse".

 

 

MAN AND THE STARS

CONTACT AND COMMUNICATION WITH OTHER INTELLIGENCE

Duncan Lunan 1974

a

liberating adventure for mankind or a disaster

Page 219

Planetary contact 3(c) - intelligence unrecognizable by physical form.

"There is a fantasy story about a university professor mysteriously translated into the body of a bull. After great efforts to communicate he finally gets the opportunity to write a message in the bloody sand of the slaughterhouse.. Unforunately, the man with the gun is illiterate - "another of those steers that do a crazy kind of dance." To get at case 3(c), we have to magnify that problem into an alien mind in a non-human body; could there be intelligences like Arthur C. Clarke's Atheleni,12 unable to develop technology until they meet a race gifted with hands?

"Dr Lilly' experiments suggested..."

 

 

SIMULATIONS OF GOD

THE SCIENCE OF BELIEF

John Lilly 1975

Page xi

"I am only an extraterrestrial who has come to the / Page xii / planet Earth to inhabit a human body, Everytime I leave this body and go back to my own civilization, I am expanded beyond all human imaginings, When I must return I am squeezed down into the limited vehicle."

 

 

F
=
6
-
10
FRIENDSHIP
149
77
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
F
=
6
1
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
12
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
13
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
D
=
4
6
1
D
D
4
4
-
-
-
-
4
-
-
-
-
-
S
=
1
10
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
H
=
8
1
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
P
=
7
4
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
-
-
63
-
10
FRIENDSHIP
108
72
63
-
1
2
3
4
10
6
7
8
27
-
-
6+3
-
1+0
1
1+0+8
7+2
6+3
-
-
-
-
-
1+0
-
-
-
2+7
-
-
9
-
1
FRIENDSHIP
9
9
9
-
1
2
3
4
1
6
7
8
9

 

 

F
=
6
-
10
FRIENDSHIP
149
77
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
F
=
6
1
1
F
6
6
6
-
-
2
3
-
-
6
-
-
-
R
=
9
2
1
R
18
9
9
-
-
2
3
-
-
-
-
-
9
I
=
9
3
1
I
9
9
9
-
-
2
3
-
-
-
-
-
9
E
=
5
4
1
E
5
5
5
-
-
2
3
-
5
-
-
-
-
N
=
5
5
1
N
14
5
5
-
-
2
3
-
5
-
-
-
-
D
=
4
6
1
D
D
4
4
-
-
2
3
4
-
-
-
-
-
S
=
1
7
1
S
19
10
1
-
1
2
3
-
-
-
-
-
-
H
=
8
8
1
H
8
8
8
-
-
2
3
-
-
-
-
8
-
I
=
9
9
1
I
9
9
9
-
-
2
3
-
-
-
-
-
9
P
=
7
10
1
P
16
7
7
-
-
2
3
-
-
-
7
-
-
-
-
63
-
10
FRIENDSHIP
108
72
63
-
1
2
3
4
10
6
7
8
27
-
-
6+3
-
1+0
1
1+0+8
7+2
6+3
-
-
-
-
-
1+0
-
-
-
2+7
-
-
9
-
1
FRIENDSHIP
9
9
9
-
1
2
3
4
1
6
7
8
9

 

 

F
=
6
-
10
FRIENDSHIP
149
77
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
7
1
S
19
10
1
-
1
2
3
-
-
-
-
-
-
D
=
4
6
1
D
D
4
4
-
-
2
3
4
-
-
-
-
-
E
=
5
4
1
E
5
5
5
-
-
2
3
-
5
-
-
-
-
N
=
5
5
1
N
14
5
5
-
-
2
3
-
5
-
-
-
-
F
=
6
1
1
F
6
6
6
-
-
2
3
-
-
6
-
-
-
P
=
7
10
1
P
16
7
7
-
-
2
3
-
-
-
7
-
-
H
=
8
8
1
H
8
8
8
-
-
2
3
-
-
-
-
8
-
R
=
9
2
1
R
18
9
9
-
-
2
3
-
-
-
-
-
9
I
=
9
3
1
I
9
9
9
-
-
2
3
-
-
-
-
-
9
I
=
9
9
1
I
9
9
9
-
-
2
3
-
-
-
-
-
9
-
-
63
-
10
FRIENDSHIP
108
72
63
-
1
2
3
4
10
6
7
8
27
-
-
6+3
-
1+0
1
1+0+8
7+2
6+3
-
-
-
-
-
1+0
-
-
-
2+7
-
-
9
-
1
FRIENDSHIP
9
9
9
-
1
2
3
4
1
6
7
8
9

 

 

T
=
2
-
3
THE
33
15
6
L
=
3
-
4
LOVE
54
18
9
T
=
2
-
4
THAT
49
13
4
P
=
7
-
6
PASSETH
88
25
7
U
=
3
-
13
UNDERSTANDING
150
60
6
-
-
17
4
30
First Total
374
131
32
-
-
1+7
-
3+0
Add to Reduce
5+5+0
2+4+4
3+7
Q
-
8
-
3
Second Total
10
10
10
-
-
-
-
-
Reduce to Deduce
1+0
1+0
1+0
-
-
8
5
3
Essence of Number
1
1
1

 

IF YOU COULD MANIPULATE MATTER AS EASILY AS BE

SAID THE ZED ALIZ ZED SAID TO THE VERY FAR YONDER SCRIBE

WHAT WOULD YOU CREATE WITHIN THAT MINDS EYE OF THEE AND THINE

THE SCRIBE CREATED SOMETHING OF A SCENE IMAGINATIVELY BY SAYING NOTHING

 

 

10
PARMENIDES
104
50
5
4
ZENO
-
-
-
-
Z+E+N
45
18
9
-
O
15
6
6
4
ZENO
60
24
15
-
-
6+0
2+4
1+5
4
ZENO
6
6
6

 

 
 
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