volume ii, issue vi, june 2015 an atlas of 12-link, 1 ...keywords– kinematic chain, structural...
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Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 17
An Atlas of 12-Link, 1–Freedom Simple Jointed
Kinematic Chains and Mechanisms
Vijayananda Kaup
Department of Mechanical Engineering, CMR Institute of Technology, Bengaluru, India
Abstract – Simple Jointed Kinematic chains have long since
been established as an important conceptual entity useful in the
creative synthesis of mechanisms, machines and power
transmission systems. The task of generating and analysing
kinematic chains, popularly termed as the structural synthesis
and analysis of chains is a mammoth task especially when there
are more than nine links in the chain. By reporting all the
structural variants of the simple jointed kinematic chains
(SJKCs) belonging to 12-link, 1-freedom category along with
the distinct mechanisms derivable from each, the results of this
work mainly serves to relieve machine designers from the
efforts of performing structural synthesis and analysis of
chains, and also from getting into the intricacies of the
isomorphism problem associated with the number synthesis of
the chains. Instead, they can direct their efforts towards finding
ways to convert SJKCs to the desired mechanisms having
different machine elements. A total of 6856 chains were
generated using a computer program developed by the author
followed by detection of 75397 distinct mechanisms from the
given category of chains. These findings are reported in this
paper by employing a concise notation for representing the
chains. The paper also discusses the findings that emerged by
applying characteristics polynomial based isomorphism tests on
all the 6856 chains using the link-adjacency, degree and
structural matrices. It reports two cases where the degree- and
structural matrix based isomorphism tests yield identical
counter examples.
Keywords– Kinematic chain, structural synthesis, mechanisms,
isomorphism, Degree matrix, Structural matrix.
I. INTRODUCTION
ne possible reason which can be attributed to non-
availability of the complete collection of the structural
variants of 12-link, 1-freedom simple jointed kinematic
chains (SJKCs) in the published literature is the large
volume of associated data required to be published [1].
Owing to its potential use in the preliminary design phase of
the product design cycle, which is the phase during which
the machine design engineer has to bring out innovation in
the artefact that is being designed, kinematic chains have
been found to assist in the creative synthesis of solutions in
an objective and systematized manner [2]. It is also found to
help in spawning newer ideas and novel mechanical
configurations regardless of the complexity of the underlying
mechanism. It has been shown in literature that the chains,
which in its primitive form consist of simple links connected
by means of the turning joints, can be transformed into
mechanisms consisting of gears, cams, belts, chains, and so
on [3].
Several researchers in the past have attempted
structural synthesis of chains, and have proposed various
methods to enumerate them [4-17]. But for very few
instances [13,16] wherein the drawing of the kinematic chain
structures are reported, the results reported thus far is
predominantly restricted to describing the methodology of
synthesis, their application to several cases of links and
degree of freedom, followed by the tabulations of the total
number of chains that could be generated in each category of
SJKCs. The mechanism designers, on the other hand, would
prefer to have all the structural variants presented to them so
that they can further work upon the chains to produce actual
mechanisms.
One possible reason for the non-availability of a
chain catalogue – as a sketch or an alternative representation
of the chain – is the sheer difficulty to report the substantial
results given the page-space constraints. This paper chooses
to provide the complete structural information about the
chains and the number of mechanisms that each kinematic
chain can yield in a form that enables easy sketching of the
structure of SJKCs and identification of the links which yield
distinct mechanisms (or alternatively, the links which yield
identical mechanism). To this end a concise notation for the
chain is proposed. The notation enables representation of the
chain and the possible distinct mechanisms derivable from it
by means of an alpha-numeric string of 12 characters length.
A short FORTRAN program that can decode the chain into a
form that is convenient to sketch, as compared to the link
adjacency matrix representation, is also included in the
paper.
While searching across all the 6856 chains for
cospectral examples it is found that when characteristic
polynomial of link adjacency matrix [18] is employed as an
isomorphism index there were 15 triplets of 12-link, 1-
freedom SJKCs, and 183 instances of pairs of cospectral
chains. A similar search for cospectral examples using the
degree matrix [20] and structural matrix [19] representations
revealed two pairs of counter-examples to isomorphism
tests. A surprising discovery in the study was that both the
tests failed to distinguish the same pairs of kinematic chains.
These chains are also reported in this paper.
II. BRIEF REVIEWOF LITERATURE
Referring to "Table 1: Current status of enumeration of
kinematic chains" in the review paper by Mruthyunjaya [1],
it may be observed that several researchers have in the past
attempted enumeration of chains adopting different
approaches and have reportednearly identical results.
Restricting the survey of literature to those
contributions that emphasized computer-based
methodologies of number synthesis and also to those that
deal with SJKCs possessing greater than 9 links, Tuttle et al.
[3,4] introduced group theory to the study of kinematic
structure for the enumeration of chains and
mechanisms.Mruthyunjaya[11-13, 16] presented the method
O
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based on transformation of binary chains for structural
synthesis of simple- and multiple-jointed chains with
positive, zero or negative freedom. Complete collection of 9-
link, 2-freedom and 10-link, 1-freedom chains were derived
in this work through a computer program implementing the
method.Mruthyunjaya et al. [16] have reported the sketches
of all 11-link, two-freedom chains, derived by applying
transformation of binary chains for structural synthesis. The
complete collection of 839 simple-jointed chains found in
the category including 65 with total freedom, 688 with
partial freedom and 86 with fractionated freedom were
presented. References [13,16] illustrates the amount of space
required to publish the kinematic structure of mechanisms.
III. SYNTHESIS METHODOLOGY ADOPTED IN THIS
WORK
In his doctoral dissertation, the corresponding author
Vijayananda [17] had developed a structural synthesis
method in which a chain having a given number of links and
degree of freedom is built up by augmenting a specially
constructed assemblage of links called the link-patterns to a
valid chain having fewer number of links called the parent
kinematic chain. The parent kinematic chain is a closed
chain with positive freedom and free from immobile sub-
chains while the link-pattern is either an open structure with
two free elements or a quasi-closed structure with one free
element. The interrelation among the degrees of freedom and
amongst the number of links of the chain to be derived, the
parent kinematic chain and the link pattern to be added are
presented and the rules to be followed while adding the link
patterns are formulated. The method is applicable for
synthesis of chains with positive, zero or negative freedom.
It has been expressed in analytical terms using concepts from
graph theory and computerized to enable synthesis of chains
with positive freedom incorporating an isomorphism test
developed by the corresponding author [17]. The program
has been applied to generate chains with up to 13 links and
having different freedoms. Another advantage of this method
is that it also generates valuable information required to
identify type of freedom of the derived chains. See also
Mruthyunjaya [1].
IV. STRUCTURALSYNTHESIS OF 12-LINK, 1
FREEDOM SJKC
As mentioned in the above section, synthesis of 12-link, 1
freedom SJKCs are generated using the complete collection
of 10-link, 1 freedom and 11-link, 2-freedom parent
kinematic chains. It should be observed that the number
synthesis being dealt with and reported in this work is
restricted to generating closed and connected chains
possessing no redundant sub-chains having zero or negative
freedom.
By using a dyad link-pattern (two binary links in
series) that adds two binary links and three simple joints to
the 10-link, 1 freedom parent chains, SJKCs having 12-link
and 1 freedom can be generated. Note that by applying
Gruebler’s criterion, this augmentation will not alter the
number of degrees of freedom of the parent chain. This
operation is performed in turn on each of the complete
collection of 10-link, 1-dof chains. Chains so produced will
have at least one dyad in it.
Similarly, by adding one binary link to 11-link, 2-
dof chain, two additional joints will be introduced. Now by
applying Gruebler’s criterion, one dof (3×1–2×2 = –1) will
be removed from the original 2-dof chain rendering the final
chain to possess 12-link and 1-dof. It may be observed that
addition of one binary link need be done to only those 11-
link 2-dof chains that will yield chains without dyads. The
latter lends a significant computational time saving avenue.
V. RESULTS OF NUMBER SYNTHESIS &
COSPECTRALCASESAMONG 12-LINK, 1-
FREEDOMCHAINS
This paper reports the structure of 6856 SJKCs, and the
75397 distinct mechanisms that can be derived from the
complete collection of 12-link, 1-freedon chains (Table 4).
These chains are arranged column-wise in blocks of 640
chains. For example, chain no. 90 is J4oA8H8+241. The
order of listing is to be particularly noted since the cospectral
chain numbers shown in Tables 1 and 2 is as per the stated
order.
As a further exercise, characteristic polynomial of
the degree matrix proposed in [20] and that of the structural
matrix proposed in [19] was examined by applying it to all
the 12-link, 1-freedom chains. The intent of the study was to
check for the existence of any counter examples. It was
found that there existed two pairs of chains wherein both the
tests failed to distinguish the two structures. A surprising
discovery from this exercise is that both of the above two
tests had the same cases of counterexamples. The two cases
of counter-examples shown in Fig. 1 were common to both
isomorphism tests.
Counter-example # 1
Counter-example # 2
Figure 1: Counter-examples for the degree matrix [3] and structural matrix [2] based approaches
It may be noted that the size of structural matrix
(which is equal to the sum of number of links and joints in
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the chain) is larger than that of the degree matrix for the
same chain (which is the size of the link adjacency matrix).
That is, for a 12-link, 1-freedom category the structural
matrix is a square matrix of size 28 while it is 12 in the case
of degree matrix. Although the degree matrix of a chain is
easily derivable from its link adjacency matrix, the former
contain some additional information in it. The latter, loaded
with extra information, serves as the better starting point for
the computation of the characteristic coefficients. It is due to
this that the characteristic polynomial of degree matrix has
been found to have fewer counter-examples.
In the same manner the structural matrix of the
chain, although derivable from link-adjacency matrix,
contains a lot more information about the chain in its initial
form itself. The method, in fact, generates a matrix which is
larger in size than what the representation requires. The
objective was to pack as much information about the chain
as possible into the matrix representation from which
characteristic polynomial of the matrix is computed. The
test based on this matrix is believed to have no counter-
examples. The findings of the present work in the 12-link, 1-
freedom category reveals that the degree matrix based test
[20], despite its smaller size, is computationally as efficient
as the method of characteristic polynomial of link adjacency
matrix suggested in [18], and as robust as that of structural
matrix based method [19]. From the above it can be concluded that despite its
relatively smaller size (N × N), isomorphism test based on
the degree matrix is as good as the isomorphism test based
on structural matrix whose size is [(N+J) × (N+J) ], where N
is the number of links, and J is the number of joints in the
chain.
Table 1: 15 CASES OF COSPECTRAL TRIPLETS AMONG 12-LINK, 1-FREEDOM CHAINS [225, 561, 6165],[1522,4517,4832],[2166,2575,2611],[2167,2168,2201],[2193,2284,2285]
[2395,2426,2600],[2428,2450,2618],[2449,2453,2475],[3219,3321,3863],[3536,3548,3642]
[3537,3551,3571],[5314,6678,6735],[5486,6817,6825],[5934,6720,6332],[6025,6725,6846]
Table 2: 183 CASES OF COSPECTRAL PAIRS AMONG 12-LINK, 1-FREEDOM CHAINS
[ 27,3981],[ 50,3851],[ 279, 927],[ 303, 471],[ 340, 443],[ 365,6070],[ 382,3881],[ 391,3877]
[ 400, 428],[ 409, 499],[ 437,5361],[ 497,6088],[ 517,5011],[ 522,6142],[ 524, 527],[ 535, 577]
[ 544,6146],[ 576,5319],[ 601,6167],[ 605,5573],[ 775,1733],[ 836, 934],[ 905,1802],[1061,1101]
[1125,4212],[1154,1363],[1214,1333],[1306,5641],[1318,4172],[1550,5676],[1559,5528],[1601,1636]
[1668,2029],[1710,1951],[1731,1766],[1755,2742],[1808,1897],[1921,2071],[2152,2153],[2157,2158]
[2162,2163],[2203,2708],[2230,4423],[2233,4439],[2240,5822],[2257,2315],[2264,2613],[2286,2425]
[2291,4955],[2318,3339],[2326,5756],[2329,2601],[2330,4546],[2335,4536],[2386,2564],[2422,2616]
[2424,2604],[2430,2621],[2439,2628],[2582,3736],[2615,3737],[2643,5806],[2660,5085],[2692,2925]
[2745,4486],[2937,6229],[2944,4457],[2945,2947],[2946,5840],[2967,3056],[2970,6236],[3088,4516]
[3120,3460],[3128,3466],[3148,4222],[3157,4219],[3164,3190],[3186,5539],[3196,4294],[3212,6679]
[3220,4290],[3252,4186],[3253,6650],[3255,4184],[3293,5708],[3304,4115],[3306,4141],[3311,6020]
[3314,5937],[3320,4304],[3348,6216],[3384,4688],[3389,4659],[3420,4698],[3431,4692],[3439,3760]
[3440,4697],[3528,3533],[3531,3565],[3535,3544],[3596,5100],[3611,4021],[3635,3810],[3653,4493]
[3658,4492],[3664,3691],[3678,6431],[3680,4778],[3683,3684],[3685,4783],[3692,3694],[3705,4724]
[3710,4745],[3735,3817],[3743,4702],[3753,3814],[3761,4701],[3766,3789],[3862,5344],[3864,5348]
[3886,5905],[3890,5907],[3910,4849],[3923,4854],[3927,5986],[3936,6673],[4329,5927],[4459,5094]
[4539,6254],[4720,6363],[4780,6339],[4809,5977],[4811,5976],[5001,5132],[5002,5152],[5021,6546]
[5064,5208],[5066,5222],[5189,5276],[5190,5294],[5205,6618],[5323,5326],[5341,6707],[5365,6709]
[5369,5370],[5399,5400],[5413,6759],[5415,6784],[5434,5436],[5437,5527],[5456,5457],[5471,5510]
[5473,5512],[5481,6792],[5493,5675],[5552,6168],[5553,6166],[5901,6303],[5916,6163],[5918,6177]
[5928,6151],[5934,6720],[5984,6332],[5985,6364],[5990,6330],[6024,6726],[6033,6716],[6461,6574]
[6481,6571],[6514,6604],[6516,6580],[6517,6600],[6519,6605],[6520,6606],[6562,6647],[6566,6839]
[6641,6737],[6680,6734],[6681,6730],[6683,6732],[6684,6692],[6724,6727],[6848,6853]
VI. CONCISE NOTATION FORREPORTING SJKCs – APROPOSAL
A compact notation is proposed to represent SJKCs and the
number of distinct mechanisms they yield. The notation
helps in greatly reducing the space requirements for
reporting the results. To illustrate the notation we consider
the example of the 12-link, 3-d.o.f chain shown in Fig. 2
along with its link adjacency matrix.
Figure 2: 10-Link, 3-DOF SJKC and its Link-Adjacency Matrix
The compact notation for this chain
is+A+iAm4K+A4,B. The letters included in the notation
are interpreted by the following procedure.
Commencing from row-1 of the upper triangular link
adjacency matrix (diagonal elements excluded), the matrix
elements are first written row by row as a single binary
string as follows: 000000001010000000101100001010110000000100010100000
000001010000100 The above binary string is then divided into smaller
units containing six binary digits. A 12-link KC represented
by 12×12 matrix will have 66 binary digits (=11×122)
leading to eleven six-bit-units as shown below.
[000000][001010][000000][101100][001010][110000][00
0100][010100][000000][001010][000100]
0 0 0 0 0 0 0 0 0 1
0 1
0 0 0 0 0 0 0 0 0 1
0 1
0 0 0 1 0 0 0 0 1 0
1 0
0 0 1 0 1 1 0 0 0 0
0 0
0 0 0 1 0 0 1 0 0 0
1 0
0 0 0 1 0 0 1 0 0 0
0 0
0 0 0 0 1 1 0 0 0 0
0 0
0 0 0 0 0 0 0 0 1 0 1 0
0 0 1 0 0 0 0 1 0 0
0 0
1 1 0 0 0 0 0 0 0 0 1 0
0 0 1 0 1 0 0 1 0 1
0 0
1 1 0 0 0 0 0 0 0 0
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Letx1x2x3x4x5x6represent a six-bit-unitwherexi(i =
1,2,…,6) are the six binary digits. From thexi's we
cangenerate an integerdjas follows.
𝑑𝑗 = 𝑥𝑖 × 26−𝑖
6
𝑖=1
Dependinguponthe six-bit-units xi's, djcan take any
integer value from 0 (zero) through 63 (26 – 1). Knowingdj
the followingsubstitutionis carried out.
If dj = 0, substitute with the ‘+’ character. This is to
avoid confusion between ‘0’ (zero) with the alphabet
‘O’.
If dj = 1, 2, 3, ..., 9, no substitution needbe made.
If dj = 10,11,12,…, 35, substitute it with the upper
case alphabets A, B, C,…, Z respectively.
If dj = 36, 37, 38 ..., 61, substitute it with the lower
case alphabets a, b, c,…, y, z respectively.
If dj = 62, 63, substitute them with the characters ‘*’,
‘=’ respectively.
After the above substitutions, concatenatedj (j = 1, 2,...,
11) obtained from the eleven six-bit-units. The sequence of
occurrence ofdj'sis to be retained. The string consisting of
eleven characters given above(+A+iAm4K+A4)provides
information about the structure of kinematic chain in the
condensed notation.
The second part of the notation, B (following the
comma), provides details about the number of distinct
mechanisms possible from the chain, and also which of the
links yield structurally identically mechanism upon fixation.
The meaning conveyed by each of these codes is tabulated in
Table 3.
Table 3: Mechanisms: Symbols and their meaning
Code Meaning of the symbol A All mechanisms are distinct B 1=2,3,4,5,6,7,8,9,10,11,12
C 1=2=3=4,5=6=7=8,9=10,11=12
D 1=2,3=4,5=6,7,8,9,10,11,12
E 1=2,3=4,5=6,7=8,9=10,11=12
F 1=2=3=4=5=6=7=8,9=10=11=12
G 1=2,3=4,5,6,7,8,9,10,11,12
H 1=2=3=4,5=6,7=8,9=10,11=12
I 1=2=3=4=5=6,7=8,9=10,11=12
J 1=2=3=4,5=6=7=8,9=10=11=12
K 1=2,3=4,5=6,7=8,9=10,11,12
L 1=2,3=4,5=6,7=8,9,10,11,12
M 1=2=3=4,5=6,7=8,9=10,11,12
N 1=2=3=4=5=6,7=8,9=10,11,12
O 1=2=3=4,5=6,7=8,9,10,11,12
P 1=2=3,4=5=6,7,8,9,10,11,12
Q 1=2=3=4,5=6=7=8,9=10,11,12
R 1=2=3=4=5=6=7=8=9=10,11=12
S 1=2=3=4,5=6,7,8,9,10,11,12
T 1=2=3=4=5=6=7=8,9=10,11=12
U 1=2=3,4=5=6,7=8,9,10,11,12
V 1=2=3,4=5=6,7=8=9,10,11,12
W 1=2=3=4=5=6,7=8=9,10=11,12
In the present example the meaning of letter B is that links 1
and 2 have identical disposition with reference to the
remaining 10 links in the chain while the links 3 through 12
have distinct location within the chain. This is indicated in
Table 3 as (1=2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12).
VII. FORTRAN PROGRAM FORDECODING THE
NOTATION
In order to facilitate extraction of the chain from its notation,
a FORTRAN code block has been included below. The
program reads the notation made up with eleven characters
from an input text file named 12LINK.INP. The output of the
program will list pairs of links which are adjacent to each
other. For example, if the input is+A+iAm4K+A4,then the
output would be (1,10), (1,12), (2,10), (2,12), (3,4), (3,9),
(3,11), (4,5), (4,6), (5,7), (5,11), (6,7), (8,9), (8,11), (10,11)
VIII. SUMMARY AND CONCLUSION
The paper reports the structures of 6856 SJKCs belonging to
12-link, 1-dof category along with 75397 distinct
mechanisms. A concise notation developed for the purpose
has been used. The paper also reports all the distinct
mechanisms possible from each chain. This was made
possible through a unique way of labelling of the links of the
chain. A FORTRAN program which enables quick decoding of
the notation into a form that facilitates easy sketching of
chains is also presented. A logical extension of this work is
to automate the sketching of the chains. While testing the
above chains collection using the characteristic polynomial
based tests it is found that there existed 15 triplets and 183
cases of cospectral pairs of chains when link adjacency
matrix was used for chain representation. However, with the
degree matrix and structural matrix representations of chains
there were only two pairs of cospectral chains where the
tests could not distinguish. Both tests were found to fail for
the same pairs of chains.
ACKNOWLEDGEMENT
The corresponding author is thankful to CMR Institute of
Technology for motivating and providing an opportunity to
conduct this work.
REFERENCES
[1]. T S Mruthyunjaya,(2003). Kinematicstructureof mechanisms
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!------ THIS PROGRAM READS THE STRING (For example: +A+iAm4K+A4) AND
!------ OUTPUTS THE LINK LABELS THAT ARE ADJACENT TO EACH OTHER
INTEGER*4 M
CHARACTER KCN*11, MATRIX*66, BINUM*6
OPEN(UNIT=5,FILE='12LINK.INP',STATUS='OLD',ACCESS='SEQUENTIAL')
READ(5,*) KCN ! THE STRING IS READ HERE
DO I = 1,11
M =ICHAR(KCN(I:I))
IF(M == 43)THEN !if ‘+’, set M to 0
M = 0
ELSEIF(M >48 .AND. M <58)THEN !if ‘1-9’ do not change
M = M - 48
ELSEIF(M >64 .AND. M <91)THEN !if ‘A-Z’ set to ‘10-35’ resp.
M = M - 55
ELSEIF(M >96 .AND. M <123)THEN !if ‘a-z’ set to ’36-61’ resp.
M = M - 61
ELSEIF(M == 42) THEN !if ‘*’ set to 62
M = 62
ELSEIF(M == 61) THEN !if ‘=’ set to 63
M = 63
ENDIF
BINUM = '000000'
CALL TOMATRIX(M,BINUM)
MATRIX(6*(I-1)+1:6*I) = BINUM(1:6)
ENDDO
IENT = 0
DO I = 1,11
DO J = I+1,12
IENT = IENT + 1
IF(MATRIX(IENT:IENT) == '1')THEN
WRITE(*,*) I,J ! OUTPUTS ADJACENT LINKS
ENDIF
ENDDO
ENDDO
STOP
END
!$$$$$$ =======================================================
SUBROUTINE TOMATRIX(M,BINUM)
INTEGER*4 M, IDIV, IREM
CHARACTER BINUM*6
DO J = 1,6
IDIV = M/2
IREM = MOD(M,2)
IF(IREM == 1)THEN
BINUM(7-J:7-J)= '1'
ELSE
BINUM(7-J:7-J)= '0'
ENDIF
IF(IDIV /= 0) THEN
M = IDIV
ELSE
RETURN
ENDIF
ENDDO
END
Table 4: 12–LINK, 1–DOF KINEMATIC CHAINS AND MECHANISMS
Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 22
============================ CHAIN NUMBERS 1 – 640 =================
X42E1Ge+4+p,C fH262G8W41X,A fH26+G8+L1X,A JKo2+H884+X,A JGo2+G8W4+p,A JGo22G8844X,A J+o28G8Ga1X,A J+oI+G9+5+Z,A
K8eW2+e+3P5,D fH262G8W4+f,A fH26+G8+L+f,A JKo2+H8+C+X,A G4WGG44ICIo,G JGo22G8+C4X,A J+o28G8Ga+f,A J+o22G9+5+f,A
GKWe42CZ4+X,E fH262G8W4+Z,A fH26+G8+L+Z,A JKo2+H8+4GX,A JKo2+G8+aGX,A JGo22G8+4KX,A J+o28G8Ga+Z,A J+o22G9+5+Z,A
WK+a81Ch4+X,A fH26+Gee4+X,A fH26+G8+5Wf,A JKo2+H8+41X,A JKo2+G8+a1X,A JGo22G8+45X,A J+o28G8+qGX,A J+o2+Gf+5+f,A
WK+a81CZC+X,A fH26+GeWC+X,A fH26+G8+5WZ,A JKo2+H8+4+f,A JKo2+G8+a+f,A JGo22G8+44f,A J+o28G8+q1X,A J+o2+Gf+5+Z,A
WK+a81CZ4GX,A fH26+GeW4GX,A fH26+G8+52f,A JKo2+H8+4+Z,A JKo2+G8+a+Z,A JGo22G8+44Z,A J+o28G8+q+f,A H+a+824ICIo,G
WK+a81CZ41X,A mmab+W4I8+I,E fH26+G8+52Z,A JGoY1Ge+4+I,E JGoY+G88K+I,E JGo2+Ge844X,A J+o28G8+q+Z,A J+o2+G9G51X,A
WK+a81CZ4+f,A fH26+GeW4+f,A G6WQWK1Go4+,K JGoI+H884+X,A JGoI+G8+aGX,A JGo2+Ge+C4X,A J+o28G8+aXX,A J+o2+G9G5+f,A
WK+a81CZ4+Z,A fH26+GeW4+Z,A G4WG41CAK+p,G JGoI+H8+C+X,A JGoI+G8+a1X,A JGo2+Ge+4KX,A J+o28G8+aWf,A J+o2+G9G5+Z,A
W4+C2+P+c4j,F J4oA8H8+241,E fL26+G8+44f,A JGoI+H8+4GX,A JGoI+G8+a+f,A JGo2+Ge+45X,A J+o28G8+aWZ,A J+o2+G9+LGX,A
GGX+41Cp4GX,G fH26+G8m4GX,A fL26+G8+44Z,A JGoI+H8+41X,A JGoI+G8+a+Z,A JGo2+Ge+44f,A J+o28G8+a2f,A J+o2+G9+aXI,E
GGX+41Cp41X,G fH26+G8m41X,A fH2c+G8+4II,E JGoI+H8+4+f,A JGo22GO+a+X,A JGo2+Ge+44Z,A J+o28G8+a2Z,A J+o2+G9+L+f,A
GGX+41Cp4+f,G fH26+G8m4+f,A fH2M+G8+44f,A JGoI+H8+4+Z,A JGo22G8+i+X,A JGo2+G8GC4X,A J+o28G8+a+p,A J+o2+G9+L+Z,A
GGX+41Cp4+Z,G fH26+G8m4+Z,A fH2M+G8+44Z,A CL8mX4K2++X,K JGo22G8+aGX,A JGo2+G8G4KX,A J4o28G8+5+f,A J+o2+G9+5XX,A
WG+a81CZ4XX,H fH26+G8WKGX,A QHmWG842+II,E JGo22H884+X,A JGo22G8+a1X,A JGo2+G8G45X,A J4o28G8+5+Z,A J+o2+G9+5Wf,A
GGX+41CZ4Wf,G fH26+G8WK1X,A fH262G8+44f,A JGo22H8+C+X,A JGo22G8+a+f,A JGo2+G8G44f,A J+oI8G8+5+f,A J+o2+G9+5WZ,A
GGX+41CZ4WZ,G fH26+G8WK+f,A fH262G8+44Z,A JGo22H8+4GX,A JGo22G8+a+Z,A JGo2+G8G44Z,A J+oI8G8+5+Z,A J+o2+G9+52f,A
W4+C2+OGEMX,I fH26+G8WK+Z,A mmab+W4AG+I,E JGo22H8+41X,A JGo2+Ge8a+X,A JGo2+G8+KKX,A K+m+824ICIo,G J+o2+G9+52Z,A
W4+C2+GvQM+,H fH26+G8W4XX,A fH26+Ge+44f,A JGo22H8+4+f,A JGo2+Ge+i+X,A JGo2+G8+K5X,A J+o2AG8+51X,A J+o2+G9+5+p,A
QLmWG8K2++X,A fH26+G8W4Wf,A fH26+Ge+44Z,A JGo22H8+4+Z,A JGo2+Ge+aGX,A JGo2+G8+K4f,A J+o2AG8+5+f,A J4o2+G9+44f,A
QLmWG84A++X,A fH26+G8W4WZ,A fH26+G8GC4X,A JGo2+He84+X,A JGo2+Ge+a1X,A JGo2+G8+K4Z,A J+o2AG8+5+Z,A J4o2+G9+44Z,A
QLmWG8428+X,A fH26+G8W42f,A fH26+G8G4KX,A JGo2+He+C+X,A JGo2+Ge+a+f,A JGo2+G8+4bX,A J+o28Ge+5GX,A J+oI+G9+44f,A
QLmWG842+GX,A fH26+G8W42Z,A fH26+G8G45X,A JGo2+He+4GX,A JGo2+Ge+a+Z,A JGo2+G8+4af,A J+o28H8+4XI,E J+oI+G9+44Z,A
QLmWG842+1X,A fH26+G8W4+p,A fH26+G8G44f,A JGo2+He+41X,A JGo2+G8Gi+X,A JGo2+G8+4aZ,A J+o28Ge+5+f,A J+o22G9+44f,A
QLmWG842++f,A G4WGG4CAK+p,G fH26+G8G44Z,A JGo2+He+4+f,A JGo2+G8GaGX,A JGo2+G8+46f,A J+o28Ge+5+Z,A J+o22G9+44Z,A
QLmWG842++Z,A fL26+G8+aGX,A fH26+G8+KKX,A JGo2+He+4+Z,A JGo2+G8Ga1X,A JGo2+G8+46Z,A J+o28G8GD+X,A J+o2+Gf+44f,A
QHmWI8K2++X,J fL26+G8+a1X,A fH26+G8+K5X,A JGo2+H8GC+X,A 972Q8H+8A4+,K JGo2+G8+44p,A J+o28G8G5GX,A J+o2+Gf+44Z,A
QHmWI84A++X,A fL26+G8+a+f,A fH26+G8+K4f,A JGo2+H8G4GX,A JGo2+G8Ga+Z,A KCf+e58+4GX,A J+o28G8G51X,A H+a+414ICIo,G
QHmWI8428+X,A fL26+G8+a+Z,A fH26+G8+K4Z,A JGo2+H8G41X,A JGo2+G8+qGX,A KCf+e58+41X,A J+o28G8G5+f,A J+o2+G9G44f,A
QHmWI842+GX,A fH2c+G88K+I,E fH26+G8+4af,A JGo2+H8G4+f,A JGo2+G8+q1X,A K8f+e58GC+X,E J+o28G8G5+Z,A J+o2+G9G44Z,A
QHmWI842+1X,A fH2M+G8+aGX,A fH26+G8+4aZ,A JGo2+H8G4+Z,A JGo2+G8+q+f,A a894e54I8+X,E J+o28G8+LGX,A J+o2+G9+aII,E
QHmWI842++f,A fH2M+G8+a1X,A fH26+G8+46f,A JGo2+H8+KGX,A JGo2+G8+q+Z,A C58GX4L2W+X,K J+o28G8+L1X,A J+o2+G9+K4f,A
QHmWI842++Z,A fH2M+G8+a+f,A fH26+G8+46Z,A JGo2+H8+K1X,A JGo2+G8+aXX,A K8f+e58G4+f,A J+o28G8+L+f,A J+o2+G9+K4Z,A
QHmWG84I8+X,E fH2M+G8+a+Z,A fH26+G8+44p,A JGo2+H8+K+f,A JGo2+G8+aWf,A K8f+e58G4+Z,A J+o28G8+L+Z,A J+o2+G9+4bX,A
QHmWG84I+GX,A fH262G88a+X,A aC94e58+4GX,A JGo2+H8+K+Z,A JGo2+G8+aWZ,A K8f+e58+4+p,C J+o28G8+5XX,A J+o2+G9+4af,A
QHmWG84I+1X,A fH262G8+i+X,A aC94e58+41X,A JGo2+H8+4XX,A JGo2+G8+a2f,A J4o28G8W4+f,A J+o28G8+5Wf,A J+o2+G9+4aZ,A
QHmWG84I++f,A QHmWG842+XI,E f126+G9+aXX,J JGo2+H8+4Wf,A JGo2+G8+a2Z,A 4I8f3Wm+2c+,K J+o28G8+5WZ,A J+o2+G9+46f,A
QHmWG84I++Z,A fH262G8+a+f,A K8f+e54I8+X,E JGo2+H8+4WZ,A G4WG824ICIo,G J+oI8G8W4+f,A J+o28G8+52f,A J+o2+G9+46Z,A
QHmWG842+XX,E fH262G8+a+Z,A K4eGX4L2W+X,K JGo2+H8+42f,A JKo2+G8+51X,A J+oI8G8W4+Z,A J+o28G8+52Z,A J+o2+G9+44p,A
QHmWG842+Wf,A fH26+Ge8a+X,A Q5m+G852W+f,A JGo2+H8+42Z,A JKo2+G8+5+f,A K+m+W84ICIo,G J+o28G8+5+p,A J4o2+G8+64f,A
QHmWG842+WZ,A fH26+Ge+i+X,A Q5m+G852W+Z,A JGo2+H8+4+p,A JKo2+G8+5+Z,A J+o2AG8WC+X,A J4o28G8+44f,A J4o2+G8+64Z,A
QHmWG842++p,E mmab+W42+XI,E Q1m+I852W+f,A G4WGW84ICIo,G JGoI+G8+5GX,A J+o2AG8W4GX,A J4o28G8+44Z,A J+o22G8+64f,A
W4+C2+QKA4D,H fH26+Ge+a+f,A Q1m+I852W+Z,A JKo2+G8WC+X,A JGoY+G8+4XI,E J+o2AG8W41X,A J+oI8G8+44f,A J+o22G8+64Z,A
mqab+W4A++X,A fH26+Ge+a+Z,A X+24W4+vQM+,H JKo2+G8W4GX,A JGoI+G8+5+f,A J+o2AG8W4+f,A J+oI8G8+44Z,A J+o2+G8G64f,A
mqab+W428+X,A KKemX4K2++X,K Q1m+G85IW1X,A JKo2+G8W41X,A JGoI+G8+5+Z,A J+o2AG8W4+Z,A K+m+414ICIo,G J+o2+G8G64Z,A
mqab+W42+GX,A fH26+G8GaGX,A Q1m+G85IW+f,A JKo2+G8W4+f,A JGo22GO+5+X,A J+o28Gee4+X,A J+o2AG8+44f,A WG+a814ICIo,H
mqab+W42+1X,A fH26+G8Ga1X,A Q1m+G85IW+Z,A JKo2+G8W4+Z,A JGo22G885+X,A J+o28H8GC+I,E J+o2AG8+44Z,A J+o2+G8+6af,A
mqab+W42++f,A fH26+G8Ga+f,A Q1m+G852WXX,J JGoI+G8e4+X,A JGo22G8+D+X,A J+o28GeW4GX,A J+o28H8+4II,E J+o2+G8+6aZ,A
mqab+W42++Z,A fH26+G8Ga+Z,A Q1m+G852WWf,A JGoY+G8GC+I,E JGo22G8+5GX,A J+o28GeW41X,A J+o28Ge+44f,A J+o2+G8+64p,E
G2WG429+aXp,F fH26+G8+qGX,A Q1m+G852WWZ,A JGoI+G8W4GX,A JGo22G8+51X,A J+o28GeW4+f,A J+o28Ge+44Z,A XG2aW44IGHX,K
mmab2W4A++X,A fH26+G8+q1X,A Q1m+G852W+p,E JGoI+G8W41X,A JGo22G8+5+f,A J+o28GeW4+Z,A J+o28G8GC4X,A KWg+828+2bb,D
mmab2W428+X,A fH26+G8+q+f,A maa5+W52W+f,A JGoI+G8W4+f,A JGo22G8+5+Z,A J+o28G8mC+X,A J+o28G8G4KX,A HGYWG84IGHX,K
mmab2W42+GX,A fH26+G8+q+Z,A maa5+W52W+Z,A JGoI+G8W4+Z,A JGo2+Ge85+X,A J+o28G8m4GX,A J+o28G8G45X,A X424W44gY8X,A
mmab2W42+1X,A fH26+G8+aXX,A mWa52W52W+f,A JGo22GOW4+X,A JGo2+Ge+D+X,A J+o28G8m41X,A J+o28G8G44f,A X424W44Yg8X,A
mmab2W42++f,A fH26+G8+aWf,A mWa52W52W+Z,A JGo22G8e4+X,A JGo2+Ge+5GX,A J+o28G8m4+f,A J+o28G8G44Z,A X424W44YYOX,A
mmab2W42++Z,A fH26+G8+aWZ,A X+24W4AKA4D,H JGo22G8WC+X,A JGo2+Ge+51X,A AGu3G8++q+Z,B J+o28G8+KKX,A X424W44YY9X,A
mmab+W4I8+X,E fH26+G8+a2f,A mWa5+W5IW+f,A JGo22G8W4GX,A JGo2+Ge+5+f,A J+o28G8WKGX,A J+o28G8+K5X,A X424W44YY8f,A
mmab+W4I+GX,A fH26+G8+a2Z,A mWa5+W5IW+Z,A JGo22G8W41X,A JGo2+Ge+5+Z,A J+o28G8WK1X,A J+o28G8+K4f,A X424W44YY8Z,A
mmab+W4I+1X,A fH26+G8+a+p,A mWa5+W52WXX,J JGo22G8W4+f,A JGo2+G8GD+X,A J+o28G8WK+Z,A J+o28G8+K4Z,A X+24W45ImHX,M
mmab+W4I++f,A G4WG82CAK+p,G mWa5+W52WWf,A JGo22G8W4+Z,A JGo2+G8G5GX,A J+o28G8W4XX,A J+o28G8+4bX,A H+a+G44oY8f,G
mmab+W4I++Z,A fL26+G8+51X,A mWa5+W52WWZ,A JGo2+Gee4+X,A JGo2+G8G51X,A J+o28G8W4Wf,A J+o28G8+4af,A H+a+G44oY8Z,G
mmab+W42+XX,E fL26+G8+5+f,A mWa5+W52W+p,E JGo2+GeWC+X,A JGo2+G8G5+f,A J+o28G8W4WZ,A J+o28G8+4aZ,A WG+a819+YLL,N
mmab+W42+Wf,A fL26+G8+5+Z,A WK+i8152b81,E JGo2+GeW4GX,A JGo2+G8G5+Z,A J+o28G8W42f,A J+o28G8+46f,A H+a+G44YYef,G
mmab+W42+WZ,A fH2M+G8+5GX,A K8eW2+e+2hY,D JGo2+GeW41X,A JGo2+G8+LGX,A J+o28G8W42Z,A J+o28G8+46Z,A H+a+G44YYeZ,G
mmab+W42++p,E fH2M+G8+5+f,A GKWe4252b81,E JGo2+GeW4+f,A JGo2+G8+L1X,A J4o28G8+a+f,A J+o28G8+44p,A X+24W44YY8p,O
G4WGW8CAK+p,G fH2M+G8+5+Z,A WK+a815Ab81,A JGo2+GeW4+Z,A JGo2+G8+L+f,A J4o28G8+a+Z,A HGZ+414A8+p,L G4WGW8+miXu,G
fL26+G8WC+X,A QHmWG84AG+I,E WK+a8152j81,A JGo2+G8mC+X,A JGo2+G8+L+Z,A J+oI8G8+a+f,A J4o2+G9+a+Z,A LKi+G48WC+X,A
fL26+G8W4GX,A fH262G8+D+X,A WK+a8152bO1,A JGo2+G8m4GX,A JGo2+G8+5XX,A J+oI8G8+a+Z,A J+o22G9+a+f,A LKi+G48W4GX,A
fL26+G8W41X,A fH262G8+5+f,A WK+a8152b91,A JGo2+G8m41X,A JGo2+G8+5Wf,A K+m+G44ICIo,G Wm4YYKI44+I,E LKi+G48W41X,A
fL26+G8W4+f,A fH262G8+5+Z,A WK+a8152b89,A JGo2+G8m4+f,A JGo2+G8+5WZ,A J+o2AG8+aGX,A X+24W44ICIo,H LKi+G48W4+f,A
fL26+G8W4+Z,A fH26+Ge85+X,A WK+a8152b83,A JGo2+G8m4+Z,A JGo2+G8+52f,A J+o2AG8+a1X,A J+o2+G9GaGX,A LKi+G48W4+Z,A
fH2M+G8e4+X,A mmab+W42+II,E WG+a815Ij81,H JGo2+G8WKGX,A JGo2+G8+52Z,A J+o2AG8+a+f,A J+o2+G9Ga1X,A LGiGG48e4+X,A
fH2c+G8GC+I,E fH26+Ge+5+f,A GGX+415IbO1,G JGo2+G8WK1X,A JGo2+G8+5+p,A J+o2AG8+a+Z,A J+o2+G9Ga+f,A L4gG1+P+Y41,K
fH2M+G8W4GX,A fH26+Ge+5+Z,A GGX+415Ib91,G JGo2+G8WK+f,A G4WG414ICIo,G J+o28H88K+I,E J+o2+G9Ga+Z,A LGiGG48W4GX,A
fH2M+G8W41X,A fH26+G8GD+X,A GGX+415Ib83,G JGo2+G8WK+Z,A JKo2+G8+44f,A J+o28Ge+aGX,A J+o2+G9+aXX,E LGiGG48W41X,A
fH2M+G8W4+f,A fH26+G8G5GX,A WG+a8152bf1,H JGo2+G8W4XX,A JKo2+G8+44Z,A J+o28Ge+a1X,A J+o2+G9+aWf,A LGiGG48W4+f,A
fH2M+G8W4+Z,A fH26+G8G51X,A GGX+4152be9,G JGo2+G8W4Wf,A JGoY+G8+4II,E J+o28Ge+a+f,A J+o2+G9+aWZ,A LGiGG48W4+Z,A
fH262G8e4+X,A fH26+G8G5+f,A GGX+4152be3,G JGo2+G8W4WZ,A JGoI+G8+44f,A J+o28Ge+a+Z,A J4o2+G9+5+f,A LGi+I4OW4+X,A
fH262G8WC+X,A fH26+G8G5+Z,A W4+C2+OGAbi,I JGo2+G8W42f,A JGoI+G8+44Z,A J+o28G8Gi+X,A J4o2+G9+5+Z,A LGi+I48e4+X,A
QHmWG84I8+I,E fH26+G8+LGX,A G4WH+G4ICIo,G JGo2+G8W42Z,A JGo22GO+44X,A J+o28G8GaGX,A J+oI+G9+5+f,A LGi+I48WC+X,A
============================ CHAIN NUMBERS 641 – 1280 =================
LGi+I48W4GX,A LGi+G4e+5+f,A L+i+O48WK+f,A L+i+O48+K4f,A GGX+Y8C2D8X,A ZGG62GA+4KX,A Z+H6+GAG5+f,A Z4G68GA+5+f,A
LGi+I48W41X,A LGi+G4e+5+Z,A L+i+O48WK+Z,A L+i+O48+K4Z,A GGX+Y8C25OX,A ZGG62GA+45X,A Z+H6+GAG5+Z,A Z4G68GA+5+Z,A
LGi+I48W4+f,A LGi+G48GD+X,A L+i+O48W4XX,A L+i+O48+4bX,A GGX+Y8C259X,A ZGG62GA+44f,A Z+H6+GA+LGX,A Z+GM8GA+5+f,A
LGi+I48W4+Z,A LGi+G48G5GX,A L+i+O48W4Wf,A L+i+O48+46f,A GGX+Y8C258f,A ZGG62GA+44Z,A Z+H6+GA+L1X,A Z+GM8GA+5+Z,A
LGi+G4ee4+X,A LGi+G48G51X,A L+i+O48W4WZ,A L+i+O48+46Z,A GGX+Y8C258Z,A ZGG6+Gg844X,A Z+H6+GA+L+f,A K+m+82C25In,G
LGi+G4eWC+X,A LGi+G48G5+f,A L+i+O48W42f,A KCeW82C24GX,A GGX+W8CI5OX,G ZGG6+Gg+C4X,A Z+H6+GA+L+Z,A Z+G6AGA+51X,A
Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 23
LGi+G4eW4GX,A LGi+G48G5+Z,A L+i+O48W42Z,A KCeW82C241X,A GGX+W8CI59X,G ZGG6+Gg+4KX,A Z+H6+GA+5XX,A Z+G6AGA+5+f,A
LGi+G4eW41X,A LGi+G48+LGX,A L+i+O48W4+p,A K8eWA2C24GX,A GGX+W8C2LOX,G ZGG6+Gg+45X,A Z+H6+GA+5Wf,A Z+G6AGA+5+Z,A
LGi+G4eW4+f,A LGi+G48+L1X,A L4i+O48+a+f,A K8eWA2C241X,A GGX+W8C2L9X,G ZGG6+Gg+44f,A Z+H6+GA+5WZ,A Z+G68Gg85+X,A
LGi+G4eW4+Z,A LGi+G48+L+f,A L4i+O48+a+Z,A X+24W41Gs4B,M G4WG825314j,L ZGG6+Gg+44Z,A Z+H6+GA+52f,A Z+G68Gg+D+X,A
LGi+G48mC+X,A LGi+G48+L+Z,A L+iGO48+a+f,A K8eW82CI4GX,A 84GH221164j,P H+a+G4BK5+Z,G Z+H6+GA+52Z,A Z+G68Gg+5GX,A
LGi+G48m4GX,A LGi+G48+5XX,A L+iGO48+a+Z,A K8eW82CI41X,A G2W82+aII4U,K ZGG6+GAG4KX,A Z+H6+GA+5+p,A Z+G68Gg+51X,A
LGi+G48m41X,A LGi+G48+5Wf,A K+m+G4+miXu,G K8eW82CI4+f,A G8WW8252WYU,M ZGG6+GAG45X,A Z4H6+GA+44f,A Z+G68Gg+5+f,A
LGi+G48m4+f,A LGi+G48+5WZ,A L+i+Q48+aGX,A K8eW82CI4+Z,A GGX+W8C25AZ,G ZGG6+GAG44f,A Z4H6+GA+44Z,A Z+G68Gg+5+Z,A
LGi+G48m4+Z,A 36IQ9HG+24+,K L+i+Q48+a1X,A K4eG1+S264X,K 9T3Y+GH14+1,A ZGG6+GAG44Z,A G2W841C25In,G Z+G68GAGD+X,A
LGi+G48WKGX,A G4WG41+miXu,G L+i+Q48+a+f,A K8eW82C24Wf,A 9T3Y+G11C+1,A ZGG6+GA+KKX,A Z+HM+GA+44f,A Z+G68GAG5GX,A
LGi+G48WK1X,A LKi+G48+44f,A L+i+Q48+a+Z,A K8eW82C24WZ,A 9T3Y+G114G1,A ZGG6+GA+K5X,A Z+HM+GA+44Z,A Z+G68GAG51X,A
LGi+G48WK+f,A LKi+G48+44Z,A K4eGX4OX241,K K8eW82C24+p,L 9T3Y+G11411,A ZGG6+GA+K4f,A Z+H62GA844X,A Z+G68GAG5+f,A
LGi+G48WK+Z,A L4gG1+O+24B,K L+i+O4e+aGX,A L4i+G49+5+f,A I+e+2+c1OdW,G ZGG6+GA+K4Z,A Z+H62GA+C4X,A Z+G68GAG5+Z,A
LGi+G48W4XX,A LGiGG48+44f,A L+i+O4e+a1X,A L4i+G49+5+Z,A 972Q8H+8C+W,K ZGG6+GA+4bX,A Z+H62GA+4KX,A Z+G68GA+LGX,A
LGi+G48W4Wf,A LGiGG48+44Z,A L+i+O4e+a+f,A L+iGG49+5+f,A 9P3Y2G11C+1,A ZGG6+GA+4af,A Z+H62GA+45X,A Z+G68GA+L1X,A
LGi+G48W4WZ,A LGi+I4O+44X,A L+i+O4e+a+Z,A L+iGG49+5+Z,A 9P3Y2G114G1,A ZGG6+GA+4aZ,A Z+H62GA+44f,A Z+G68GA+L+f,A
LGi+G48W42f,A LGi+I48844X,A L+i+O48Gi+X,A L+i+I49+5+f,A 9P3Y2G11411,A ZGG6+GA+46f,A Z+H62GA+44Z,A Z+G68GA+L+Z,A
LGi+G48W42Z,A LGi+I48+C4X,A L+i+O48GaGX,A L+i+I49+5+Z,A 9P3Y2G114+9,A ZGG6+GA+46Z,A Z+H6+Gg844X,A Z+G68GA+5XX,A
LGi+G48W4+p,A LGi+I48+4KX,A L+i+O48Ga1X,A L+i+G4f+5+f,A 972Q+G18i+W,K ZGG6+GA+44p,A Z+H6+Gg+C4X,A Z+G68GA+5Wf,A
G4WGG4+miXu,G LGi+I48+45X,A L+i+O48Ga+f,A L+i+G4f+5+Z,A 9P3Y+G1H4G1,A 3aM2GKG+24X,A Z+H6+Gg+4KX,A Z+G68GA+5WZ,A
LKi+G48+aGX,A LGi+I48+44f,A L+i+O48Ga+Z,A H+a+82+miXu,G 9P3Y+G1H411,A 3aM2GK++A4X,A Z+H6+Gg+45X,A Z+G68GA+52f,A
LKi+G48+a1X,A LGi+I48+44Z,A L+i+O48+qGX,A L+i+G49G51X,A 9P3Y+G1H4+9,A G8WX+G4XaCJ,G Z+H6+Gg+44f,A Z+G68GA+52Z,A
LKi+G48+a+f,A LGi+G4e844X,A L+i+O48+q1X,A L+i+G49G5+f,A 972Q+G+8E+W,K 3aM2GK++24f,A Z+H6+Gg+44Z,A Z+G68GA+5+p,A
LKi+G48+a+Z,A LGi+G4e+C4X,A L+i+O48+q+f,A L+i+G49G5+Z,A 9P3Y+G114W9,A 3aM2GK++24Z,A H+a+G4B4L+Z,G Z4G68GA+44f,A
L4gG1+OX241,K LGi+G4e+4KX,A L+i+O48+q+Z,A K4eG1+S224L,K 9P3Y+G114W3,A 2IHAeM++4+M,L Z+H6+GAG4KX,A Z4G68GA+44Z,A
LGiGG48+aGX,A LGi+G4e+45X,A L+i+O48+aXX,A L+i+G49+L1X,A 9P3Y+G114+J,L 3WM2IK++A4X,A Z+H6+GAG45X,A Z+GM8GA+44f,A
LGiGG48+a1X,A LGi+G4e+44f,A L+i+O48+aWf,A L+i+G49+L+f,A G4WG82C25In,G 3WM2IK++25X,A Z+H6+GAG44f,A Z+GM8GA+44Z,A
LGiGG48+a+f,A LGi+G4e+44Z,A L+i+O48+aWZ,A L+i+G49+L+Z,A ZKG6+GA+51X,A 3WM2IK++24f,A Z+H6+GAG44Z,A K+m+41C25In,G
LGiGG48+a+Z,A LGi+G48GC4X,A L+i+O48+a2f,A L+i+G49+5XX,A ZKG6+GA+5+f,A 3WM2IK++24Z,A Z+H6+GA+KKX,A Z+G6AGA+44f,A
LGi+I4O+a+X,A LGi+G48G4KX,A L+i+O48+a2Z,A L+i+G49+5Wf,A ZKG6+GA+5+Z,A 2IHA8I424+M,L Z+H6+GA+K5X,A Z+G6AGA+44Z,A
LGi+I488a+X,A LGi+G48G45X,A L+i+O48+a+p,A L+i+G49+5WZ,A 3WM2GK++2af,D 3WM2GK+G25X,A Z+H6+GA+K4f,A Z+G68Gg844X,A
LGi+I48+i+X,A LGi+G48G44f,A L4i+O48+5+f,A L+i+G49+52f,A ZGGM+GA+D+X,A 3WM2GK+G24f,A Z+H6+GA+K4Z,A Z+G68Gg+C4X,A
LGi+I48+aGX,A LGi+G48G44Z,A L4i+O48+5+Z,A L+i+G49+52Z,A ZGGM+GA+5GX,A 3WM2GK+G24Z,A Z+H6+GA+4bX,A Z+G68Gg+4KX,A
LGi+I48+a1X,A LGi+G48+KKX,A L+iGO48+5+f,A L+i+G49+5+p,A ZGGM+GA+51X,A 3WM2GK++26f,D Z+H6+GA+4af,A Z+G68Gg+45X,A
LGi+I48+a+f,A LGi+G48+K5X,A L+iGO48+5+Z,A L4i+G49+44f,A ZGGM+GA+5+f,A 3WM2GK++26Z,D Z+H6+GA+4aZ,A Z+G68Gg+44f,A
LGi+I48+a+Z,A LGi+G48+K4f,A K+m+82+miXu,G L4i+G49+44Z,A ZGGM+GA+5+Z,A 3WM2GK++24p,D Z+H6+GA+46f,A Z+G68Gg+44Z,A
LGi+G4e8a+X,A LGi+G48+K4Z,A L+i+Q48+51X,A L+iGG49+44f,A ZGG62GA85+X,A Z4I6+G9+Y51,A Z+H6+GA+46Z,A Z+G68GAGC4X,A
LGi+G4e+i+X,A LGi+G48+4bX,A L+i+Q48+5+f,A L+iGG49+44Z,A ZGG62GA+D+X,A Z4I6+G9+Y43,A Z+H6+GA+44p,A Z+G68GAG4KX,A
LGi+G4e+aGX,A LGi+G48+4af,A L+i+Q48+5+Z,A L+i+I49+44f,A ZGG62GA+5GX,A Z+I62G98Y41,A Z4G68GAW4+f,A Z+G68GAG45X,A
LGi+G4e+a1X,A LGi+G48+4aZ,A K4eGX4O+24L,K L+i+I49+44Z,A ZGG62GA+51X,A Z+I62G9+g41,A Z4G68GAW4+Z,A Z+G68GAG44f,A
LGi+G4e+a+f,A LGi+G48+46f,A L+i+O4e+51X,A L+i+G4f+44f,A ZGG62GA+5+f,A Z+I62G9+YK1,A Z+GM8GAW4+f,A Z+G68GAG44Z,A
LGi+G4e+a+Z,A LGi+G48+46Z,A L+i+O4e+5+f,A L+i+G4f+44Z,A ZGG62GA+5+Z,A Z+I62G9+Y51,A Z+GM8GAW4+Z,A Z+G68GA+KKX,A
LGi+G48Gi+X,A LGi+G48+44p,A L+i+O4e+5+Z,A H+a+41+miXu,G ZGG6+Gg85+X,A Z+I62G9+Y49,A K+m+W8C25In,G Z+G68GA+K5X,A
LGi+G48GaGX,A KKf+a58+4GX,A L+i+O48GD+X,A L+i+G49G44f,A ZGG6+Gg+D+X,A Z+I62G9+Y43,A Z+G6AGAW4GX,A Z+G68GA+K4f,A
LGi+G48Ga1X,A KKf+a58+41X,A L+i+O48G5GX,A L+i+G49G44Z,A ZGG6+Gg+5GX,A X+24W4B4aXI,H Z+G6AGAW41X,A Z+G68GA+K4Z,A
LGi+G48Ga+f,A K2e8Y4f+a+X,K L+i+O48G51X,A K4eG1+S224B,K ZGG6+Gg+51X,A Z+I6+G9GYK1,A Z+G6AGAW4+f,A Z+G68GA+4bX,A
LGi+G48Ga+Z,A aG8ae54I8+X,E L+i+O48G5+f,A L+i+G49+K4f,A ZGG6+Gg+5+f,A Z+I6+G9GY51,A Z+G6AGAW4+Z,A Z+G68GA+4af,A
LGi+G48+qGX,A CH8We54I8+X,E L+i+O48G5+Z,A L+i+G49+K4Z,A ZGG6+Gg+5+Z,A Z+I6+G9GY49,A Z+G68GgW4GX,A Z+G68GA+4aZ,A
LGi+G48+q1X,A KGf+a58G4+f,A L+i+O48+LGX,A L+i+G49+4bX,A H+a+G4BK5+f,G Z+I6+G9GY43,A Z+G68GgW41X,A Z+G68GA+46f,A
LGi+G48+q+f,A KGf+a58G4+Z,A L+i+O48+L1X,A L+i+G49+4af,A ZGG6+GAG5GX,A Z+I6+G9+Yb1,E Z+G68GAmC+X,A Z+G68GA+46Z,A
LGi+G48+q+Z,A KGf+a58+4+p,C L+i+O48+L+f,A L+i+G49+4aZ,A ZGG6+GAG51X,A Z+I6+G9+Ya9,A Z+G68GAm4GX,A Z+G68GA+44p,A
LGi+G48+aXX,A L4i+O48W4+f,A L+i+O48+L+Z,A L+i+G49+46f,A ZGG6+GAG5+f,A Z+I6+G9+Ya3,A Z+G68GAm41X,A KCeW8242A8X,A
LGi+G48+aWf,A L4i+O48W4+Z,A L+i+O48+5XX,A L+i+G49+46Z,A ZGG6+GAG5+Z,A Z+I6+G9+Y4J,E J+o+1+GOQ4A,K KCeW824229X,A
LGi+G48+aWZ,A L+iGO48W4+f,A L+i+O48+5Wf,A L+i+G49+44p,A ZGG6+GA+LGX,A Z4H6+GA+5+f,A Z+G68GAm4+Z,A K4eG1+L2WHX,K
LGi+G48+a2f,A L+iGO48W4+Z,A L+i+O48+5WZ,A H4YG1+KYW+j,L ZGG6+GA+L1X,A Z4H6+GA+5+Z,A Z+G68GAWKGX,A K8eW824I2OX,A
LGi+G48+a2Z,A K+m+W8+miXu,G L+i+O48+52f,A X42AAHG8I41,E ZGG6+GA+L+f,A G2W882C25In,G Z+G68GAWK1X,A K8eW824I29X,A
LGi+G48+a+p,A L+i+Q48WC+X,A L+i+O48+52Z,A L+i+G48G64f,A ZGG6+GA+L+Z,A Z+HM+GA+51X,A Z+G68GAW4XX,A K8eW824I28f,A
G4WG82+miXu,G L+i+Q48W4GX,A L+i+O48+5+p,A L+i+G48G64Z,A ZGG6+GA+5XX,A Z+HM+GA+5+f,A Z+G68GAW4Wf,A K8eW824I28Z,A
LKi+G48+51X,A L+i+Q48W41X,A CH8W3+m8Ac+,K K4eG1+O+2cB,K ZGG6+GA+5Wf,A Z+HM+GA+5+Z,A Z+G68GAW4WZ,A K4eG1+K22LX,K
LKi+G48+5+f,A L+i+Q48W4+f,A L+iGO48+44f,A L+i+G48+6af,D ZGG6+GA+5WZ,A Z+H62GA85+X,A Z+G68GAW42f,A K8eW82422ef,A
LKi+G48+5+Z,A L+i+Q48W4+Z,A L+iGO48+44Z,A L+i+G48+6aZ,D ZGG6+GA+52f,A Z+H62GA+D+X,A Z+G68GAW42Z,A K8eW82422eZ,A
L4gG1+O+24L,K L+i+O4ee4+X,A K+m+41+miXu,G L+i+G48+66f,D ZGG6+GA+52Z,A Z+H62GA+5GX,A J4o2+G9+Y51,A K8eW824228p,L
LGiGG48+51X,A K4eGX4P+Y41,K L+i+Q48+44f,A L+i+G48+66Z,D ZGG6+GA+5+p,A Z+H62GA+51X,A J4o2+G9+Y43,A Z4G6+IA+a+f,A
LGiGG48+5+f,A L+i+O4eW4GX,A L+i+Q48+44Z,A K8eWG48+2Ra,D G4WG41C25In,G Z+H62GA+5+f,A J+o22G9+Y51,A Z4G6+IA+a+Z,A
LGiGG48+5+Z,A L+i+O4eW41X,A K4eGX4O+24B,K GKX+X8C258X,A ZKG6+GA+44f,A Z+H62GA+5+Z,A J+o22G9+Y43,A Z+GM+IA+a+f,A
LGi+I4O+5+X,A L+i+O4eW4+f,A L+i+O4e+44f,A GKX+W8S258X,A ZKG6+GA+44Z,A Z+H6+Gg85+X,A J+o2+G9Gg41,E Z+GM+IA+a+Z,A
LGi+I4885+X,A L+i+O4eW4+Z,A L+i+O4e+44Z,A GKX+W8CA58X,A 3WM2GK++2aZ,D Z+H6+Gg+D+X,A J+o2+G9GYK1,A I+e+G4C25In,G
LGi+I48+D+X,A L+i+O48mC+X,A L+i+O48GC4X,A GKX+W8C2D8X,A ZGGM+GA+C4X,A Z+H6+Gg+5GX,A J+o2+G9GY51,A Z+G6+Ig+aGX,A
LGi+I48+5GX,A L+i+O48m4GX,A L+i+O48G4KX,A GKX+W8C25OX,A ZGGM+GA+4KX,A Z+H6+Gg+51X,A J+o2+G9GY49,A Z+G6+Ig+a1X,A
LGi+I48+5+f,A L+i+O48m41X,A L+i+O48G45X,A GKX+W8C259X,A ZGGM+GA+45X,A Z+H6+Gg+5+f,A J+o2+G9GY43,A Z+G6+Ig+a+f,A
LGi+G4e85+X,A L+i+O48m4+f,A L+i+O48G44f,A GKX+W8C258f,A ZGGM+GA+44f,A Z+H6+Gg+5+Z,A J+o2+G9+Yb1,E H2Y9+W+vQ4+,K
LGi+G4e+D+X,A L+i+O48m4+Z,A L+i+O48G44Z,A GKX+W8C258Z,A ZGGM+GA+44Z,A H+a+G4B4L+f,G J+o2+G9+Ya9,A Z+G6+IAGi+X,A
LGi+G4e+5GX,A L+i+O48WKGX,A L+i+O48+KKX,A G8WYGK8+2Ra,D ZGG62GA844X,A Z+H6+GAG5GX,A J+o2+G9+Ya3,A Z+G6+IAGaGX,A
LGi+G4e+51X,A L+i+O48WK1X,A L+i+O48+K5X,A GGX+Y8CA58X,A ZGG62GA+C4X,A Z+H6+GAG51X,A J+o2+G9+Y4J,E Z+G6+IAGa1X,A
============================= CHAIN NUMBERS 1281 – 1920 =================
Z+G6+IA+qGX,A Z+G6+GB+5Wf,A Z+G6+GA+66f,A 1W61Ke25G+Z,B XG24W46c+Wf,A K8ma++A51f1,G OHW1+eA+a+p,A O1W18egW41X,B
Z+G6+IA+q1X,A Z+G6+GB+5WZ,A Z+G6+GA+66Z,A aG8ae58+4+U,C XG24W46c+WZ,A K8ma++A51e9,G G4WG822TT+W,G O1W18egW4+f,B
Z+G6+IA+q+Z,A Z+G6+GB+52f,A Z+G6+GA+64p,A XG2aY46E++X,A XG24W46c+2f,A M+u4++52aXI,E OLW1+eA+51X,A O1W18egW4+Z,B
Z+G6+IA+aXX,A Z+G6+GB+52Z,A ej5A4I42++1,E 1W61KeY5+GX,B XG24W46c+2Z,A K8ma++A51A9,G OLW1+eA+5+f,A O1W18eAmC+X,B
Z+G6+IA+aWf,A Z+G6+GB+5+p,A I+e+G44gI5a,G 1W61KeY5+1X,B XG24W46c++p,A K8ma++A51A3,G OLW1+eA+5+Z,A O1W18eAm4GX,B
Z+G6+IA+aWZ,A Z4G6+GB+44f,A ej524I42+11,A 1W61KeY5++f,B GmZ4++A15IC,G K8ma++A518J,G G6WQ+G115Ie,D O1W18eAm41X,B
Z+G6+IA+a2f,A Z4G6+GB+44Z,A GMWwGO1+WY+,K 1W61KeY5++Z,B 1a61Ge251+f,A G4WGW82TT+W,G OHWH+eA+51X,A O1W18eAm4+f,B
Z+G6+IA+a2Z,A Z+GM+GB+44f,A ef526I428+1,A XG2aW46M8+X,E 1a61Ge251+Z,A OLW1+eAWC+X,A OHWH+eA+5+f,A O1W18eAm4+Z,B
Z4G6+IA+5+f,A Z+GM+GB+44Z,A ef526I42+11,A XG2aW46M++f,A 1W61Ie251GX,E OLW1+eAW4GX,A OHWH+eA+5+Z,A O1W18eAWKGX,B
Z4G6+IA+5+Z,A Z+G62GB+44f,A ef524I4I8+1,E WG+a819GhC1,H 1W64KAC2+XI,E OLW1+eAW41X,A OHW12eA85+X,A O1W18eAWK1X,B
Z+GM+IA+5+f,A Z+G62GB+44Z,A ef524I4I+11,A 1W61Ke25+Wf,B 1W61Ie251+f,B OLW1+eAW4+f,A OHW12eA+D+X,A O1W18eAWK+f,B
Z+GM+IA+5+Z,A Z+G6+Gh+44f,A ef524I4I++9,A 1W61Ke25+WZ,B 1W61Ie251+Z,B OLW1+eAW4+Z,A OHW12eA+5GX,A O1W18eAWK+Z,B
Z+G62IA+5+f,A Z+G6+Gh+44Z,A ef524I42+X1,E XG2aW466++p,E +6+P1WIKI4K,K G6WQ+G445Ie,D OHW12eA+51X,A O1W18eAW4XX,B
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Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 24
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============================ CHAIN NUMBERS 1921 – 2560 =================
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Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 25
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============================ CHAIN NUMBERS 2561 – 3200 =================
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SHe+W+A+5Wf,A S1f+Y+A+45X,A S1e+e+A+5WZ,A S5e+W2A+44Z,A S1e+W+B+K5X,A O1W1+YCI51X,B O1W1+WDI5+Z,B 58AY4H1H411,A
Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 26
SHe+W+A+5WZ,A S1f+Y+A+44f,A S1e+e+A+52f,A S1eGW2A+44f,A S1e+W+B+K4f,A O1W1+YCI5+f,B O1W1+WD2LGX,B 58AY4H1H4+9,A
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SHe+W+A+4aZ,A K+m+Y81Xc51,A GOXY2G4C581,A S1e+W+BGa+Z,A S1e+W+g144f,A O1W1+YC246f,B O1W1+WC26af,B 3+C2Wg2Y+Wf,B
SHe+W+A+46f,A 9+K1W211+po,P GOXY2G44D81,A S1e+W+B+qGX,A S1e+W+g144Z,A O1W1+YC246Z,B O1W1+WC26aZ,B 3+C2Wg2Y+WZ,B
SHe+W+A+46Z,A K+m+W81nc51,G GOXY2G445O1,A S1e+W+B+q1X,A S1e+W+AH44f,A O1W1+YC244p , S1e+++C264p,E 3+C2Wg2Y+2f,B
SHe+W+A+44p,A K+m+W81XsK1,G GOXY2G44591,A S1e+W+B+q+f,A S1e+W+AH44Z,A S5e+8+C25+f,A X+24W41XXLH,O 3+C2Wg2Y+2Z,B
S5f+W+A+5+f,A K+m+W81Xs51,G GCWo+G4AC+f,L S1e+W+B+q+Z,A GWY+411OTXW,G S5e+8+C25+Z,A 4iAWnC8+2+X,A 3+C2Wg2Y++p,B
S5f+W+A+5+Z,A K+m+W81Xcb1,G GOXY+G4K5O1,A S1e+W+B+aXX,A S1e+W+A1K4f,A S1eG8+C25+f,A 1W61Kbe82+X,B 2aKH2WWfA4+,K
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S1fGW+A+5+Z,A GOXaY44YWG1,A S1e+Y49+Y43,A S1e+W+B+a2Z,A S1e+W+A14aZ,A S1e+A+C25+f,A 1W61Kbe+2+f,B 34C2Wg22W+Z,A
S1f+Y+A85+X,A GOXaY44YW11,A S1e+W49Gg41,E S1e+W+B+a+p,A S1e+W+A146f,A S1e+A+C25+Z,A 1W61Kbe+2+Z,B +I19AYa2+H6,L
S1f+Y+A+D+X,A GOXaY44YW+9,A S1e+W49GYK1,A S5e+W+B+5+f,A S1e+W+A146Z,A G6WQ+G116MW,D 4C8mg6e+4+A,Q 3+C2Yg22WGX,B
S1f+Y+A+5GX,A G6WSW45Im+W,K S1e+W49GY51,A S5e+W+B+5+Z,A S1e+W+A144p,A S1e+81C24XI,E 4eAWoC882+X,A 3+C2Yg22W1X,B
============================ CHAIN NUMBERS 3201 – 3840 =================
3+C2Yg22W+f,B 44GH2GaAE4W,M MKu+K4+441X,A MGu+G5+44+p,A MKu+G4+451X,A H8aY8I8G491,A M+u+O4W45+Z,A M+u+I41444f,A
3+C2Yg22W+Z,B 48GX4H534W9,G MKu+K4+44+f,A G4WGW8+mexW,G MKu+G4+45+f,A H8aY8I8G489,A M+u+O4+KD+X,A M+u+I41444Z,A
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3+C2Wg2IW+Z,B 5+K1WO3I1+Z,G MGu+M4G44+X,A MGuGG4+a4+f,A MGu+I4+451X,A M+uGO4+a4+f,A M+u+O4+45Wf,A M+u+G4144aZ,G
3+C2Wg22mGX,B 44GH2GaAA4K,M MGu+M4+C4+X,A MGuGG4+a4+Z,A MGu+I4+45+f,A M+uGO4+a4+Z,A M+u+O4+45WZ,A M+u+G41446f,G
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3+C2Wg22m+Z,B 5+K1WO32H+Z,G MGu+M4+441X,A MGu+I4+aC+X,A MGu+G4W4D+X,A M+u+Q4+a4GX,A M+u+O4+45+p,A M4u+G4+55+f,A
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2aKH2WW8A4K,K 3+C2WeZ2+4f,B MGu+K4W44+f,A MGu+G4Wa4GX,A MGu+G4+K51X,A M+u+O4Wa41X,A M+u+Q4+444Z,A M+u+G4+5L1X,G
34C2Wg2211X,A 3+C2WeZ2+4Z,B MGu+K4W44+Z,A MGu+G4Wa41X,A MGu+G4+K5+f,A M+u+O4Wa4+f,A G6WQ4H4214e,L M+u+G4+5L+f,G
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3+C2Yg2211X,B 5+K1WO3I+4f,G MGu+K4+K4+f,A MGu+G4+q4GX,A MGu+G4+4L+f,A M+u+O4+q41X,A M+u+O4+K4KX,A M+u+G4+55WZ,G
3+C2Yg221+f,B 5+K1WO3I+4Z,G MGu+K4+K4+Z,A MGu+G4+q41X,A MGu+G4+4L+Z,A M+u+O4+q4+f,A M+u+O4+K45X,A M+u+G4+552f,G
3+C2Yg221+Z,B 44GH2GaAA4A,M MGu+K4+4KGX,A MGu+G4+q4+f,A MGu+G4+45XX,A M+u+O4+q4+Z,A M+u+O4+K44f,A M+u+G4+552Z,G
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Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 27
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============================ CHAIN NUMBERS 3841 – 4480 =================
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C+m3W4+Ia8Z,B 34I9Ge8+64X,E CnA2WO++W2f,A +m31Gmaa41X,B J+o22GOW28X,A L4i+G411C4X,A 4WI28Y8K5+f,G T1e+8+8m4S1,A
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Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 28
124A4H22+co,D 32IA8I8+4+U,L CnA2WO++W+p,A +m31Gmaa4+Z,B J+o22G8WA8X,A L4i+G41145X,A 4WI28Y84LGX,G T1e+8+8m4C9,A
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H2aC++73924,G +I+m52f+c4X,C CXA2WO1+W+p,H +m31Gm4aK+Z,B J+o2+GeW28f,A L+i+I41144Z,A 4WI28Y845+p,G T1e+8+8W4E9,A
4YCIGO8+58I,E 3+K2GK8+6af,D o4m+e6+WaGX,A +m31Gm4a4XX,B J+o2+GeW28Z,A K2e8824Ya+S,L K2mC++A4GKi,G T1e+8+8W4E3,A
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I582+S6111X,A G4WGW85BGX6,G I4mI1GH+Yc+,K +m31Gm4a42f,B J+o2+G8m29X,A L+i+G41H44f,A O5W1Ge8e28X,A T5e+9+8+aC1,A
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O1W14Y66+XI,E CrA2WO+W++f,A o+m+e6+maGX,A Z4I65G8+28X,A J+o2+G8WI9X,A L+i+G4114aZ,D O5W1Ge8W28f,A T5e+8+8+aS1,A
I1822S611+f,B CrA2WO+W++Z,A o+m+e6+ma1X,A Z4I64GO+28X,A J+o2+G8WI8f,A L+i+G41146f,D O5W1Ge8W28Z,A T5e+8+8+aD1,A
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============================ CHAIN NUMBERS 4481 – 5120 =================
T1e+A+O+aC1,A O1W1+e9+aE3,B 4GH+K5AK3+9,G H8aa++1OSXW,G +e2cW6XDW+1,B 184WO61XaW9,D i584W41114f,A i5848+Ka48X,A
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T1e+8+e+aD1,A +A+gAIe+4q8,D 4GH+K5A4323,G 2G96Y5+iW81,B +e2cW61LW+3,B iL844+444C9,A n4Y28IKYW+1,A i18K8+4aC8X,A
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T1e+8+8+qS1,A 4GH+K5AKYG1,G 1K52mn+6+1X,A 2G96W5WaWO1,B +e2cW615W29,B iH8K4+444C9,A n+Y2AI4gW+1,A i184A+4a4OX,A
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T1e+8+8+qC3,A 4GH+K5AKY+3,G 1G52onG6++X,B 2G96W5WaW83,B 6KOeuD++++X,E iH846+4C4C1,A n+Y2AI4YW11,A i184A+4a48Z,A
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Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 29
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============================ CHAIN NUMBERS 5121 – 5760 =================
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Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 30
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============================ CHAIN NUMBERS 5761 – 6400 =================
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Volume II, Issue VI, June 2015 IJRSI ISSN 2321 - 2705
www.rsisinternational.org/IJRSI.html Page 31
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============================ CHAIN NUMBERS 6401 – 6856 =================
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