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BY (11) 13278
(13) C1
(46) 2010.06.30
(19)
(12)
(51)
(2009)
G 06F 7/38
(54)
(21)
(22) 2008.09.12
(43) 2009.02.28
(71)
:
: a 20081173
(73)
(BY)
(BY)
(72)
:
:
;
(BY)
(56) BY 10221 C1, 2008.
BY a 20070142, 2007.
BY a 20070215, 2007.
BY a 20080210, 2008.
SU 1683014 A1, 1991.
(57)
,
,
,
,
ij-
,
j-
jj,
"
, (3 − j)j, (3 − j)-
BY 13278 C1 2010.06.30
,
-
,
i- ,
i = 1, 2, 3,
" j- ,
j = 1, 2,
,
j,
j(3 − j)-
-
BY 13278 C1 2010.06.30
,
,
,
(2 + j)-
,
-
j" j-
,
"
" j-
(2 + j)-
-
,
(1 + j)-
,
j-
-
(2 + j).
,
.
,
,
,
,
,
,
,
,
[1].
20,
τ-
3τ,
.
.
,
,
An + Bm = S
,
,
-
,
.
,
,
,
,
,
,
,
j-
-
[2].
(j = 1, 2)
j-
-
.
,
.
.
j-
j-
,
j-
j-
" j-
.
,
,
.
(2 − j)-
.
j-
j-
j.
24,
τ-
- 3τ,
.
-
-
,
-
-
j-
.
(2 + j)-
" j-
A + B = S (mod 3)
"
= R (mod 3).
,
2
BY 13278 C1 2010.06.30
,
,
,
.
-
n
+
m
n
= S (mod 3)
,
m
-
= R (mod 3)
,
.
,
,
i- ,
i = 1, 2, 3,
i-m
.
"
" j- ,
,
, (3 − j)j-
j = 1, 2,
jj-
j-
j-
.
j-
j-
(3 − j)-
, (3 − j)-
j,
.
,
.
(2 + j)-
j" j-
"
"
,
.
" j-
(2 + j)-
,
,
j)
(
5
(1 + j)-
-
(2 + j).
.
6,
10, 11
16...19
7 8,
12,
20, 21
13, 14
1...4,
9,
15,
-
22.
.
16 17
"
"
A = (a0, a1, a2),
18 19 "
"
B = (b0, b1, b2),
0, 1, 2, b0, b1, b2 ∈ {0, 1}.
bk = 1
,
A = k (mod 3)
= k (mod 3),
k = 0, 1, 2.
13, 14
15
) u1, u2 u3
,
m;
n;
0,
0,
u2 = 
u1 = 
.
11 u3 = 0,
21, 20 22
n
S = (s0, s1, s2)
+ m = S (mod 3);
u3 = 1,
20, 22 21
n
R = (r0, r1, r2)
- m = R (mod 3),
s0, s1, s2, r0, r1, r2 ∈ {0, 1}.
sk = 1
rk = 1
,
n
n
+ m = k (mod 3)
- m = k (mod 3)
,
k = 0, 1, 2.
"
"
ak = 1
"
"
F1(u1, u 2 , u 3 ) = f (u1, a 0 , a 2 ) ∨ u 3 a 0 ∨ u 3 b0 ∼ M 24 (a 0 , b 0 , f , g ) ,
3
BY 13278 C1 2010.06.30
F2 (u1, u 2 , u 3 ) = g(u 2 , b 0 , b 2 ) ∨ u 3 a 0 ∨ u 3 b 0 ∼ M 24 (a 0 , b0 , f , g) ,
F3 (u1, u 2 , u 3 ) = f (u1, a 0 , a 2 ) ∨ u 3 a 0 ∨ u 3 b0 ∼ g (u 2 , b0 , b 2 ) ∨ u 3 a 0 ∨ u 3 b0 ,
f(u1, a 0 , a 2 ) = u1 a 0a 2 , g(u 2 , b 0 , b 2 ) = u 2 b 0 b 2 , M 24 (a 0 , b 0 , f, g) 4a 0 + b 0 + f + g ≥ 2;
1,
"~"
M 24 (a 0 , b 0 , f , g ) = 
,
0"
"(
"
").
,
u 3 = 0;
s1 ,
F1 (u 1 , u 2 , u 3 ) = 
,
r0 -
,
-
,
u 3 = 0;
.
s0, s1, s2, r0, r1
r2 (
).
00 =
0 = p (mod p),
= 0 (mod p).
-
00 = 0 (mod 3).
n
+
m
n
= S (mod 3)
,
–
m
= R (mod 3).
,
,
.
u 3 = 0;
s0 ,
F2 (u 1 , u 2 , u 3 ) = 
r2  s2 ,
F3 (u1 , u 2 , u 3 ) = 
r1 -
,
00.
,
,
(
3τ,
),
τ-
30,
-
,
.
.
1
u1
13
0
0
0
0
0
0
0
0
0
1
1
1
1
u2
14
0
0
0
0
0
0
0
0
0
0
0
0
0
u3
15
0
0
0
0
0
0
0
0
0
0
0
0
0
A = (a0, a1, a2)
a0
a1
a2
16
17
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
1
0
0
1
0
0
1
0
0
0
1
0
B = (b0, b1, b2)
b0
b1
b2
18
19
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
4
s0
21
1
0
0
0
0
0
0
0
0
1
0
0
0
S = (s0, s1, s2)
s1
s2
20
22
0
0
1
0
1
0
1
0
0
1
1
0
1
0
0
1
0
1
0
0
1
0
1
0
1
0
BY 13278 C1 2010.06.30
1
u1
13
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
u2
14
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
A = (a0, a1, a2)
a0
a1
a2
16
17
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
u3
15
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
B = (b0, b1, b2)
b0
b1
b2
18
19
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
s0
21
0
0
0
1
1
1
0
0
0
0
1
0
0
1
1
0
0
0
0
1
0
1
0
S = (s0, s1, s2)
s1
s2
20
22
0
1
1
0
0
1
0
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
1
0
0
1
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
1
0
0
1
0
2
u1
13
0
0
0
0
0
0
0
0
0
1
1
u2
14
0
0
0
0
0
0
0
0
0
0
0
u3
15
1
1
1
1
1
1
1
1
1
1
1
A = (a0, a1, a2)
a0
a1
a2
16
17
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
1
0
0
1
0
0
B = (b0, b1, b2)
b0
b1
b2
18
19
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
5
r0
21
1
0
0
0
1
1
0
1
1
1
0
R = (r0, r1, r2)
r1
r2
20
22
0
0
0
1
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
BY 13278 C1 2010.06.30
2
u1
13
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
u2
14
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
A = (a0, a1, a2)
a0
a1
a2
16
17
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
u3
15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
B = (b0, b1, b2)
b0
b1
b2
18
19
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
:
1.
2.
10218,
10221,
G 06F 7/38, 2008.
G 06F 7/38, 2008 (
).
.
220034, .
,
.
, 20.
6
r0
21
0
0
1
1
0
0
0
1
0
0
0
1
0
0
1
0
1
0
0
0
1
0
0
0
1
R = (r0, r1, r2)
r1
r2
20
22
0
1
1
0
0
0
0
0
0
1
1
0
1
0
0
0
0
1
1
0
1
0
0
0
0
1
1
0
0
0
0
1
0
0
0
1
1
0
1
0
0
0
0
1
0
1
1
0
0
0
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