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ADVENT 2253

 

RA OSIRIS 2 OSIRIS RA

 

-
RA OSIRIS
-
-
-
1
R
18
9
9
3
AOS
35
17
8
1
I
9
9
9
1
R
18
9
9
1
I
9
9
9
1
S
19
10
1
8
RA OSIRIS
108
45
36
-
1+0+8
4+6
3+6
8
RA OSIRIS
9
9
9

 

 

4
LORD
49
22
4
2
OF
21
12
3
5
DEATH
38
20
2
11
F
108
54
9
1+1
-
1+0+8
5+4
-
2
-
9
9
9

 

 

13
SETI-MER-EN-PTAH
-
-
-
-
SETI
53
26
8
-
MER
36
18
9
-
EN
19
10
1
-
PTAH
45
18
9
13
SETI-MER-EN-PTAH
153
72
27
1+3
-
1+5+3
7+2
2+7
4
SETI-MER-EN-PTAH
9
9
9

 

 

THE EGYPTIAN HEAVEN AND HELL

BOOK OF THE DEAD

E. A.Wallis Budge 1857 - 1934

Page 59/60

CHAPTER OF COMING FORTH BY DAY AND OF MAKING A WAY THROUGH AMMEHET.1

"Saith Osiris, the king, the lord of the two lands, MEN-MAAT-RA, whose word is maat, the son of the Sun, [procceeding] from his body loving him, the lord of crowns, SETI MER-EN-PTAH, whose word is maat, "Homage to "you, O ye lords of maat, who are free from iniquity, "who exist and live for ever and to the double henti "period of everlastingness, MEN-MAAT-, whose word is "maat, the son of the Sun, [proceeding] from his body, " loving him, the lord of diadems, SETI MER-EN-PTAH, / "whose word is maat, before you hath become a "khu (i.e., a spirit) in his attributes, he hath gained " the mastery through his words of power, and he "is laden with his splendours. O deliver ye the "Osiris, the king, the lord of the two lands, MEN-MAAT-RA, whose word is maat, the son of the Sun, lord of diadems, SETI MER-EN-PTAH, whose word is maat, from the crocodile of this Pool of "Matti. He hath his mouth, let him speak there-"with. Let there be granted unto him broad-handed- "ness in your presence, because I know you, and I "know your names. . ."

 


15
ANTHROPOMORPHIC
189
90
9

 

 

15
ANTHROPOMORPHIC
189
90
9
-
ANTHROPOMO
135
54
9
-
R
18
9
9
-
PHIC
36
27
9
15
ANTHROPOMORPHIC
189
90
27
1+5
-
1+8+9
9+0
2+7
6
ANTHROPOMORPHIC
18
9
9
-
1+8
9
ANTHROPOMORPHIC
9
9
9

 

 

-
-
-
-
15
ANTHROPOMORPHIC
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
N
=
5
2
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
3
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
4
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
6
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
P
=
7
7
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
8
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
11
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
P
=
7
12
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
13
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
C
=
3
15
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
-
-
27
-
15
ANTHROPOMORPHIC
189
90
27
-
1
2
3
4
5
18
14
16
27
-
-
2+7
-
1+5
-
1+8+9
9+0
2+7
-
-
-
-
-
-
1+8
1+4
1+6
2+7
-
-
8
-
6
ANTHROPOMORPHIC
18
9
9
-
1
2
3
4
5
9
5
8
9
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
8
-
9
ANTHROPOMORPHIC
9
9
9
-
1
2
3
4
5
9
5
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
15
ANTHROPOMORPHIC
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
T
=
2
3
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
C
=
3
15
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
N
=
5
2
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
6
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
8
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
P
=
7
7
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
P
=
7
12
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
4
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
H
=
8
13
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
11
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
27
-
15
ANTHROPOMORPHIC
189
90
27
-
1
2
3
4
5
18
14
16
27
-
-
2+7
-
1+5
-
1+8+9
9+0
2+7
-
-
-
-
-
-
1+8
1+4
1+6
2+7
-
-
8
-
6
ANTHROPOMORPHIC
18
9
9
-
1
2
3
4
5
9
5
8
9
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
8
-
9
ANTHROPOMORPHIC
9
9
9
-
1
2
3
4
5
9
5
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

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
-
-
-
-
-
-
5
-
1
ALGORITHMS
122
50
50
-
2
2
3
4
5
6
7
8
9
-
-
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
-
-
-
-
-
-
-
-
-
5
-
1
ALGORITHMS
122
55
50
-
2
2
3
4
6
7
8
9
-
-
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

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
-
-
-
-
-
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
-
1
ALGORITHMS
5
5
5
-
2
2
3
4
5
6
7
8
9
-
-
5+0
-
1+0
-
1+2+2
5+0
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+0
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

 

 

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 FIVE is 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

 

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

 

 

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

 

ALWAYS BALANCING IS THAT FIVE THAT FIVE IS BALANCING ALWAYS

 

CIRCLE 50 CIRCLE

CIRCLE 32 CIRCLE

CIRCLE 5 CIRCLE

 

NUMBER = 534259 = 1 = 534259NUMBER

NUMBER = 234559 NUMBER

NUMBER = 534259 = 1 = 534259NUMBER

 

 

NUMBERS = 5342591 = 2 = 5342591NUMBERS

NUMBERS = 1234559 = NUMBER

NUMBERS = 5342591 = 2 = 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

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

LOOK AT THE 5FIVE5S LOOK AT THE 5FIVE5S LOOK AT THE 5FIVE5S THE 5FIVE5S THE 5FIVE5S

14 x 5 = 70

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

14 x 5 = 70

"The most common letter in the English alphabet is E."

14 x 5 = 70

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

14 x 5 = 70

 

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

14 x 5 x 14

 

 

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

 

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

 

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
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
392
30
7
16
63
-
-
2+8+1
-
5+5
Add to Reduce
6+3+2
2+9+9
2+8+1
-
-
1+6
-
-
3+9+2
3+0
-
1+6
1+2
-
-
11
-
10
Second Total
11
11
11
-
2
7
3
4
14
3
7
7
9
-
-
1+1
-
1+0
Reduce to Deduce
1+1
1+1
1+1
-
-
-
-
-
1+4
-
-
-
-
-
-
2
-
1
Essence of Number
2
2
2
-
2
7
3
4
5
3
7
7
9

 

 

THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN

 

-
-
-
-
-
13-14-15-16--17-18-19
-
-
-
-
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
13
-
-
-
-
5
-
-
-
-
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
14
-
-
-
-
5
-
-
-
-
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
15
-
-
-
-
5
-
-
-
-
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
16
-
-
-
-
5
-
-
-
-
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
17
-
-
-
-
5
-
-
-
-
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
18
-
-
-
-
5
-
-
-
-
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
19
-
-
-
-
5
-
-
-
-
-
-
-
-
8
NINETEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

LOOK AT THE 5FIVE5S LOOK AT THE 5FIVE5S LOOK AT THE 5FIVE5S THE 5FIVE5S THE 5FIVE5S

28 x 5 = 140

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

28 x 5 = 140

"The most common letter in the English alphabet is E."

28 x 5 = 140

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

28 x 5 = 140

THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN

 

-
-
-
-
-
13-14-15-16--17-18-19
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
THIRTEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
24
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
31
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
13
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
5
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
27
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
36
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
44
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
52
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
11
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
V
=
4
33
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
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
-
-
-
-
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
-
-
-
-
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
-
-
-
-
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
-
-
-
-
E
=
5
32
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
34
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
35
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
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
-
-
-
-
E
=
5
40
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
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
-
-
-
-
N
=
5
48
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
50
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
51
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
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
-
-
-
-
F
=
6
9
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
17
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
19
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
X
=
6
26
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
G
=
7
42
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
43
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
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
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
18
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
25
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
41
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
49
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
8
NINETEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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

 

THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

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
-
-
-
-
-
-
5
-
1
ALGORITHMS
122
50
5
-
2
2
3
4
5
6
7
8
9
-
-
5+0
-
1+0
-
1+2+2
5+0
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

 

 

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

 

 
 
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