Idea Transcript
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2016 1
517 22.18 86
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08.04.01 «
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. 517 22.18
© ©
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................................................................................................... 4 ........................................................................................... 5 1 « » ..................................................................... 7 ................................. 7 ..... 9 ............................................................................ 12 ......................................................... 12 2« » ................................................................... 16 ...................................................................................... 16 ............................................................................ 21 ......................................................... 21 3« » ............... 22 . ............................. 22 .................................................................................. ................................................................ .................................................. ............................................................................ ......................................................... 4« » ................................... ................................................................ ....................................................... ................................................ ...................................................................... ............................................................................ ......................................................... 5« » ........................................... ..................................................................................... ............................................................................ ......................................................... .........................................................................
3
23 27 35 45 45 48 48 50 52 54 56 56 60 60 67 67 70
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6
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2. 3.
. .
. , 100
2
, 160
.- (
: 300 .
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– 10 .-
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.,
. 4
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2
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2
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.
., ,
. . 1. 1 (x1) S1 S2 S3 L
) )
(x2)
4 2 2 10
) )
5 1 3 12
300 100 160
x1 x2
. 10 x1
(
12 x 2 ,
)
,
: L 10 x1 12 x 2
max .
S1 4 x1
5·x2
,
7
S1
-
5 x2 ,
4 x1
, . . 4 x1
300 .
5 x2
,
4 x1 5 x2 2 x1
-
:
300,
x2 100,
2 x1 3 x2 160. x1 , x2
) x1
0, x 2
0.
,
,
-
, . ).
-
x1 , x 2 ,..., x n ,
,
a11 x1 a12 x2 ... a1n xn
b1 ,
a21 x1 a22 x2 ... a21n xn
b2 ,
............................................. am1 x1 am 2 x2 ... amn xn x1
L
c1 x1 c 2 x 2 .
0, x2
0,..., x n
bm , 0,
,
... cn x n ,
.
: 1.
, .
2.
, .
3.
, .
x1 , x 2 , ..., x n , , (
). 8
-
(
).
,
-
,
.
,
.
1.
, . L 0.
2.
-
, . 3.
.
–
-
, .
,
gradL n , n –
–
.
L 0
4.
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1.
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2.
. 1 ).
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3.
, (
4.
L 0 ( ). .
. 1 ). , .1 , (
, 9
L 0.
-
)
)
)
) .1
1.
, L 10 x1 12 x 2
4 x1 5 x2 2 x1
max ,
300,
x2 100,
2 x1 3 x2 160. x1
0 , x2
0.
. ,
-
. . :
10
L1 : 4 x1
5x2
L2 : 2 x1
x2
L3 : 2 x1
3x2
0, x2
x1 1
300 , 100 , 160 ,
0. .
2
L 1 , L2 , L3
. ,
( O 0;0 )
-
.
x1
, 0, x2
.
0
x1
,
0, x 2
0
,
, -
L
0
. . 10 x1 12 x 2
0
gradL
L 0
n(
. 2).
.2
,
n
, 11
, . . .
L2
L3.
2 x1
x2
2 x1 3 x2
, 100,
:
x1
160,
35, x2
Lmax 35 10 30 12 710. , 35 30 710 .
1. 2. 3. 4. 5. 6.
30,
,
-
. . . . . ?
7. 8. 9.
. .
. -
?
,
: c1
2
,
2
.- (
3
)
. –
–
.,
. , .,
1
.-
3
. b1
– , b2
2
, b3
.
2 2
.,
. 1.
a1
20, a2 15, a3 14; b1
c1
758, c2
526, c3
12
-
541;
28, b2 10,
9, b3 1; 2.
, -
2.
a1 15, a2 c1
15, a3
571, c2
9; b1
577, c3
33, b2
25, b3
8,
10.
445;
3;
3.
a1 11, a2 c1
13, a3 13; b1
741, c2
741, c3
21, b2 15, b3
822;
5,
3.
8, b2
4, b3
3;
4.
a1 14, a2 c1
12, a3
624, c2
8; b1
541, c3
376;
7,
2;
3.
5.
a1 19, a2 16, a3 19; b1 c1
868, c2
638, c3
26, b2 17, b3
853;
5,
8;
4.
6.
a1 14, a2 15, a3 c1 1200, c2
20; b1
40, b2
993, c3 1097;
27, b3
5,
4;
13.
7.
a1
9, a2 15, a3 15; b1
c1
606, c2
802, c3
27, b2 15, b3
840;
11,
3;
6.
8.
a1 13, a2 c1
608, c2
a1
8, a2
c1
417, c2
13, a3 11; b1 614, c3
23, b2
575;
5,
10, a3 14; b1
7, b2
11, b3 1; 7.
9.
580, c3
591;
8, b3 1;
5,
5.
10.
a1 19, a2 c1 1121, c2
16, a3 19; b1
31, b2
706, c3 1066;
13
16,
9, b3 1; 19.
11.
a1
2, a2
3, a3
c1
428, c2
a1
8, a2
c1
840, c2
a1
5, a2
c1
750, c2
a1
5, a2
c1
505, c2
a1
8, a2
c1
864, c2
a1
5, a2
c1
343, c2
a1
7, a2
c1
347, c2
a1
7, a2
c1
363, c2
2; b1
672, c3
3, b2
6, b3
672;
8;
3,
8.
3, b3
2;
12.
6, a3
3; b1
870, c3
2, b2
560;
6,
2.
13.
4, a3
3; b1
630, c3
3, b2
3, b3
700;
4;
5,
6.
3, b3
3;
14.
3, a3
2; b1
393, c3
2, b2
348;
7,
4.
6, b3
9;
15.
7, a3
4; b1
864, c3
3, b2
945;
2,
3.
16.
9, a3 10; b1 587, c3
7, b2
587;
9, b3
11,
8; 7.
17.
7, a3
8; b1
300, c3
5, b2
2, b3 1;
357;
11,
7.
18.
7, a3
8; b1 13, b2
327, c3
429;
8, b3 6,
2; 4.
19.
a1
3, a2
c1
414, c2
9, a3 10; b1 723, c3
5, b2
788;
3, b3 12,
2; 16.
20.
a1
5, a2
c1
256, c2
6, a3
7; b1
283, c3 14
7, b2
363;
6, b3 1; 9,
7.
21.
a1 10, a2
9, a3
5; b1
c1
735, c2
765, c3
a1
8, a2
c1
459, c2
a1
8, a2
c1
612, c2
a1
7, a2
c1
476, c2
a1
8, a2 14, a3
c1
417, c2
6, b2
455;
3, b3 1; 8,
4.
22.
7, a3
7; b1 10, b2
379, c3
459;
5, b3 9,
2; 9.
23.
7, a3
7; b1 12, b2
492, c3
562;
9, b3 11,
5; 9.
24.
6, a3
5; b1
364, c3
8, b2
3, b3 1;
319;
11,
10.
25.
1. 2. 3. 4.
7; b1
580, c3
7, b2
591;
8, b3 1;
5,
5.
. . . , .
5. 6. 7.
. . .
15
2
: 1. . 2.
.
. . . .
-
:
2 x1 3 x2
x3
4,
3 x1 5 x2 2 x3
x1
x1 4 x2
x3
0 , x2
0 , x3
3, 2,
0. -
,
. . ,
x4 .
-
x5 .
-
, ,
: 2 x1 3 x2
x3
x4
3 x1 5 x2 2 x3 x1 4 x2
x3
x5
4, 3, xi
2,
16
0, i 1,...,5.
-
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(
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2. 3.
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L ,
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s; )
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17
–
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r;
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ars ; )
, .
,
-
;
bij
)
-
:
1 ; a rs
brs
ais , i ars
bis
brj (
arj ars
, j
r;
s;
. 3).
a ij
a is
arj
ars .3
bij
aij ars
arj ais
ars
.
7.
. 2.
1. L 10 x1 12 x 2
4 x1 5 x2 2 x1
max ,
300,
x2 100,
2 x1 3 x2 160, x1
0 , x2 18
0.
1.
-
x3 , x 4 , x5 . x1 , x2 – L 10 x1 12 x 2
,
4 x1 5 x 2 2 x1
x2
x3
0, x2
300,
x4 100,
2 x1 3 x 2 x1
. max ,
x5 160,
0, x3
0, x4
0, x5
0.
2.
x3
300 4 x1 5 x2 ,
x4 100 2 x1
x2 ,
x5 160 2 x1 3 x2 . 3. 4.
X0
0; 0; 300; 100; 160 .
(
. 2). 2
. .
.
x1
x2
x3
4
5
300
x4
2
1
100
x5
2
.
L
160
3
–10
–12
0
5.
, . . .
300 60 5 100 100 1 160 53,3 min 3
L
-
L (–12),
.
-
, .
. ,
, , . . a 32
3, 19
.2
.
6.
. 2,
( ,
5
(
.
. 3), -
, . 6). 3
I . .
.
x1
.
x5
x3
2 3
5 3
100 3
50
x4
4
1 3
140 3
35 min
1 3
160 3
80
4
640
3
2 3
x2
2
L
100 160 140 ; ; 0; ; 0 , 3 3 3
. 3, X 1
, ,
L
. (
,
. 4). 4
. .
.
x4
x5
1 2
3 2
10
3 4
1 4
35
1 2 3 2
1 2 7 2
.
x3
–
x1 x2
–
L
. 4, X 2
,
L
,
30 710
35; 30; 10; 0; 0 , .
: 35
30
, 20
-
710
,
)
S2 ( S1 (
, 10
)
S3 ( )
.
1. 2.
? ?
3.
.
4. 5. 6. 7.
,
,
?
. . :
,
,
,
.
8.
?
,
-
1.
1. 2. 3. 4. 5. 6. 7.
. . . . . . .
8.
.
21
3
: 1. 2.
. , .
.
, , . .
,
,
. . . –
,
.
, (
). :
1. 2. 3.
. . –
. . .
, , , .
(
)
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, . , .
-
, , . .
, .
, . ,
-
, .
22
S0
U ,
Sn . . n , …, n-
,
S1 , S 2 , ..., S n –
.
. 4.
.4
u1 , u2 , ..., un ,
U
(u1 ; u2 ; ...; un ) , Sk 1
uk –
k . 5).
Sk (
,
-
.5
S k (k
0,..., n)
, .
uk uk
(u k(1) ; u (2) ;...; u(k p ) ) . k
Wk ( S k 1 ) , Sk 1
k-1
uk
.
*
, Sk –
k
*
,
*
uk .
, .
*
Wk ( S k 1 )
k .
k
-
Sk .
uk , (
),
,
23
-
Wk
W k* 1 S k .
,
1
*
uk .
, ,
,
, , k
.
Wk* S k
max Wk Sk 1 , uk
1
uk Dk
Wk*
1
: Sk , k 1.....n , .
Wk ( S k 1,uk ) – k
«
»
, W k* S k k , k+1
k
1
, W k* 1 S k
–
. (
. 6)
1
Wk
-
: *
Wk S k
max W k S k
1
uk D
* 1
Sk .
.6
,
Wn* S n
n
max Wn S n 1 , un , Wn
1
Wn* 1 ( S n
un
2
) max Wn un
1
S n 2 , un
1
* 1
S n , un
0,
1
(n-1)Wn* ( S n 1 ) .
1
-
: , ,
.
24
,
, , .
:
n
1.
,
k 1, 2, ..., n .
Sk
2. uk(1) ; uk(2) ; ...; uk( p ) ; ,
uk
k
uk
Dk –
Dk ,
-
.
3. 4. »)
S k 1 , uk .
Sk
k Wk
(«
W S k 1 , uk n
W
Wk
max .
k 1
5.
Wk* S k
max Wk Wk*
1
6.
uk Dk
1
Sk .
k
.
W n* 1
n,
0,
-
Wn* Sn
1
max Wn .
un Dn
u*n S n W n* S n k
7. , n 1, n 2, ..., 1 ,
1
1
,
. .
-
, . . .
,
. 7.
25
.7
8.
. * Wmax
u1* S 0 ,
S0
-
S1*
u1* , S0 , -
W1* S0
k 1
. 8.
.8
U * u1* , u2* , ..., u*n ,
S0 * Wmax .
26
S *n ,
3. . –y
4
S0 = 1 000 , – -
x .
5x
0,3x
, 0,5y
4y
. -
,
4 . .
4
4
Si –
.
i-
ii
, Wi –
,
(
. , i = 1, 2, 3, 4. xi , yi – i. . 5). 5
N
B
1
S0 S1 S2 S3
2 3 4
(
x1 x2 x3 x4
y1 y2 y3 y4
W1 W2 W3 W4
S1 S2 S3 S4
. 6). 6 1-
2-
3-
4-
5x1
0,3x1
x2
5x 2
0,3x2
x3
5x3
0,3x3
x4
5x 4
y1
4 y1
0,5y1
y2
4 y2
0,5y2
y3
4 y3
0,5y3
y4
4 y4
W1 = 5x1 + 4y1
S1 = 0,3x1 + 0,5y1
S1 = x2 + y2
W2 = 5x2 + 4y2
S2 = 0,3x2 + 0,5y2
S2 = x3 + y3
W3 = 5x3 + 4y3
S3 = 0,3x3 + 0,5y3
S3 = x4 + y4
W4 = 5x4 + 4y4
B
x1
S0 = x1 + y1
-
27
4 W4*
maxW4
max 5 S3
x4
y4
S3 ,
x4
S3
y4 , S3
max 5 S3
y4
5 S3
max (5 x 4 4 y4 )
y4
4 y4
0 y4 S3
.
const y4
y4
0
5 S3.
-
W4
. 0; S3 (
5 S3
y4
. 9).
.9
W4
k
5 S3 ,
1 0,
y4 , , 0; S3 , . .
W4*
maxW4
max (5 S3
y 4 ) 5 S3 0 5 S 3 .
0 y4 S 3
3 W3* 4
max W3 W4*
x3
y3
S 2 , x3
max 5 x3 4 y3 5 S3 S2
0,3S2 0,3 y3 0,5 y3
y3 , S3
0,3 x3 0,5 y3
0,3 S2 0, 2 y3 , S 2
max (5 S 2 5 y3 4 y3 1,5 S2
0 y3 S 2
y3 )
const
max 6,5 S 2
0 y3 S2
6,5 S 2 .
3–4
,
, ,
, ,
x3
S2 , y3 2
S2 . 2
28
2 W2* 4
max W2 W3* 4
x2
y2
S1 , x2
max 5 x2 y2 , S 2
S1
0,3 S1 0, 3 y2 0, 5 y2
max (5 S1 5 y2
0 y3 S2
4 y2
6,5S 2
0, 3 x2 0, 5 y2
0,3S1 0, 2 y2 , S1
const
4 y2 1, 95 S1 1,3 y2 )
max 6, 95 S1 0, 3 y2
6, 95 S1 0, 3 y2
0 y2 S1
y2
S1
7, 25 S1.
. 10
1 W1* 4
max W1 W2* 4
x1
y1
S0 , x1
max 5 x1 4 y1 7, 25 S1 y1 , S1
S0
0,3 S0 0,3 y1 0, 5 y1 max (5 S0 5 y1
0,3 x1 0,5 y1
0, 3 S0 0, 2 y1 , S0
const
4 y1 2,175 S0 1, 45 y1 )
0 y1 S0
max 7,175 S0 0, 45 y1
0 y1 S0
7,175 S0 0, 45 y1
y1
S0
7, 625 S0 .
. * 4
u ( x4
S3 ; y 4
: 0) ; ,
,
43-
. .
. 11.
29
,
-
. 11
, . 12.
. 12
(
S0
1000
. 7) , W1* 4
.
7625
, :
30
7
1
S0 1 000
2
S1
0,3 x1* 0,5 y1*
3
S2
0,3 x2* 0,5 y 2*
4
S3
x1*
0
y1* 1 000
500
x*2
0
y*2
500
250
x3*
125
y3*
125
0,3 x3* 0,5 y3* 100
x*4
100
y*4
0
,
-
. 4. 4
A
.
,
x
f x
x
A,
2
x
y
0, 75 x .
S0
,
g y
B, y
B
0,3 y .
100
2 y2 -
. . 4
4
,
. (
, . 8). 8
S1 S2 S3 S4
1 2 3 4
A
B
x1 x2 x3 x4
y1 y2 y3 y4
k
W1 W2 W3 W4
Wk
xk2
2 y k2 . :
0 ,75 x k
Sk
1
0 ,3 yk 1 .
4
: 4
W
4
Wk k 1
k 1
31
x k2
2 yk2 .
W k* S k (
max W k S k
1
uk Dk
W k* 1 S k .
1
. 9). 9
x1
x12
0,75x1
x2
x22
0,75x2
x3
x32
0,75x3
x4
x42
y1
2y12
0,3y1
y2
2y22
0,3y2
y3
2y32
0,3y3
y4
2y42
x2 + y2 = S1
W2 = x22 + 2y22
S2 = 0,75x2 + 0,3y2
x3 + y3 = S2
W3 = x32 + 2y32
S3 = 0,75x3 + 0,3y3
x4 + y4 = S3
W4 = x42 + 2y42
4-
S1 = 0,75x1 + 0,3y1
3-
W1 = x12 + 2y12
B
2-
x1 + y1 = S0
1-
4-
W4* x4
y4
S3 ,
max
0 x4 , y4 S3
W4
max
0 x4 , y4 S3
x42
S3 –
2 y 24 4-
W4
max
0 x 4 , y4 S3
S3
y4
.
2
.
2 y42 .
:
,
,
dW4 dy4 dW4 dy4 dW4 dy4
2 S3 0,
y4
.
0.
4 y4 ,
2 S3 6 y 4
32
0, y4
2 S3 6
S3 . 2
d 2W 4 dy 42
,
6 0,
,
-
0; S3
S32 , W4 S3
W4 0
2 S32 .
,
W4* . .
2S32
y4
S 3 , x4
0,
43
B. .
W3*
max
0 x 3 , y3 S 2
x32
W3 W4* , W3
2 y32
2 S32 .
, S3 W3
S2 S2
S3
y3
y3 2
2
0,32 x3 0,75 y3 , x3 2 y32 2 0, 75 S 2
y3
S2 ,
0,3 y3
y3
2
2
2 y32 2 0, 75 S3 0, 45 y3 ,
const . W3* dW3 dy3
max
S2
0 y3 S 2
y3
2 S2
y3
2
2 y32
2 0, 75 S2 0, 45 y3
2
,
4 y3 4 0, 75 S 2 0, 45 y3 0, 45 ,
d 2W3 dy 2 3
6 4 0, 452
0,
. .
, ,
0; S 2 W3 0
S22 2 0, 752 S 22
W3 S2
2 S 22 0,18 S 22
* , W3
2
2,18 S 22
y3
.
W2*
max
0 x 2 , y 2 S1
33
2,125 S22 , 2,18 S 22 . S2 , x3 B. –
W2 W3* ,
0, . .
3-
-
x 22
W2 , S2 W2
0, 75 x2 0,3 y2 , x 2
S1 S1
2
S1
0 y2 S1
2 S1
S1
S1
const ,
2 y22 2,18 0, 75 S1
y2
0, 3 y2
y2
2 y22
2
2,18 0, 75 S1 0, 45 y2
2
,
4 y2 4,36 0,75 S1 0, 45 y2 0, 45 ,
6 4,36 0, 452
W2 S1
1
2
y2
S12
W2 0
0, x2
y2
2
d 2W2 dy 2 2
y2
2,18 S 22 .
2 y22 2,18 0, 75 S1 0, 45 y2 .
max
dW2 dy2
2
y2
y2
W2*
2 y22
2,18 0, 75 S1
6,8829 0 , 2
2, 22625 S12 ,
2 S12
0,1962 S12
2,1962 S12 ,
W2*
2, 22625 S12 ,
S1 , . . A.
.
– W1*
max W1 W2* ,
0 x1 , y1 S0
x12
W1
2 y12 2, 222625 S12 .
, S1
W1
S0 S0
W1*
0, 75 x1 0,3 y1 , x1
y1 max
0 y1 S0
y1 2
2
y1
S0 ,
2 y12 2, 22625 0,75 S0
S0
const ,
0,3 y1
y1
2
2
2 y12 2, 22625 0, 75 S0 0, 45 y1 , S0
y1
2
2 y12
2, 22625 0, 75 S0 0, 45 y1
34
2
,
dW1 dy1
2 S0
y1
4 y1 2 2, 22625 0, 75 S0 0, 45 y1 0, 45 ,
d 2W1 dy 21
6 2 2, 22625 0, 452
W1 0
S02
W1*
2, 22625 0, 75 S 0
2 S02
W1 S0
0. 2
2, 22625 0, 3 S0
2, 25227 S 02
y1
2, 25227 S 02 , 2
2, 20026 S 02 .
0, x1
S0 ,
. .
. : 4 . 10).
(
22 522,7 10
1
x1 S0 100 x 2 75 x3 0 x4 0
2 3 4
y1 0 y2 0
S1
75
S2
56, 25
y3
56, 25
S3
18
y4
18
5.
P
,
Q. ,
. .
(
. 13 ).
-
, . .
,
, (5
4
), .
. , .
,
35
-
, -
. .
. 13
S5 ,
S5 .
1.
Q
1,
2,
3,
4,
10, 20,
, 29, 48
.
Q 1, 2, 3,
S4 .
2.
S4 ,
4,
5.
-
, .
W B1
W B2
:
9,
min(11 9;15;13 10)
min(20;15; 23) 15 ,
W B3
min(16 15;19 10;12 20)
min(31; 29;32)
W B4
min(13 29;14 20;10 29)
min(42;34;39) 34 ,
36
29 ,
W B5
min(18 34; 21 29;17 48)
S3 .
3.
W C1
min(52;50;65) 50 .
min( 10 9 ) 19 ,
W C2
min(12 19;16 9;14 15)
W C3
min(13 25; 21 15;15 29)
min(38;36; 44) 36 ,
W C4
min(12 36;19 29;11 34)
min(48; 48; 45)
W C5
min(13 45; 25 34;15 50)
25 ,
45 ,
min(58;59; 65) 58 .
S2 .
4.
W D1
min(31; 25; 29)
min( 10 9 ) 19 ,
W D2
min(13 29;17 19;10 25)
min(42;36;35) 35 ,
W D3
min(12 35;18 25;13 36)
min(47; 43; 49)
W D4
min(14 43;18 36;11 45)
min(57;54;56) 54 ,
W D5
min(16 54;16 45;10 58)
min(70; 61; 68)
61 .
min(31; 25; 29)
25 , 55 ,
S1 .
5.
W E1
43 ,
min( 12 29 )
41 ,
W C2
min(12 19;16 9;14 15)
W E3
min(14 47; 20 35;18 43)
min(61;55; 61)
W E4
min(16 55; 24 43;12 54)
min(71; 67; 66)
66 ,
W E5
min(12 66;18 54;18 61)
min(78;72;79)
72 .
57 ,
6.
W M1
S0 . min( 13 41 ) 54 ,
W M2
min(15 54; 20 41;10 47)
min(65;61;57)
W M3
min(13 57;17 47;16 55)
min(70;64; 73)
64 ,
W M4
min(8 64; 25 55;15 66)
min(72;80;81)
72 ,
W P
min(10 72; 20 66;13 72)
37
min(82;86;85) 82 .
, . . 13 .
. 13
,
,
-
P Q, 82 P, M4, M3, E2, D2, C2, B1, Q P, M4, M3, E2, D1, C1, B1, Q.
P1, P2, …, Pn, ,
.
-
. ,
, .
l ij – ,
.
-
.
-
.
38
,
l ij
.
,
l ji . .
,
.
-
,
, .
.
Pn ,
1.
-
,
0, . .
cn
Pn
0. 2.
ci
cn
Pi l in
, Pn .
,
, ,
Pn .
, 3.
,
Pj .
.
cj cj
4.
ci
l ji .
Pj
,
cj
.
-
c*j
cj . cj . cj
*
cj ,
,
Pj
,
,
,
*
cj , . -
. ,
. 5. 6.
3. ,
-
.
, ,
.
39
6.
( .
. 14),
7-
, -
7.
. 14
1.
7(
. 15).
.
0– 6, 5, 4. 7
7 .
, . .
-
.
. 15
2.
4(
. 16).
7. 9 12. . . 7 + 4 = 11>5, 7 + 7 = 14>0.
6, 3, 1, 1 3– ,
. 6, 7 4
. 16 40
.
3. 3
6( 12
. 17). 5 + 2 = 77, 5 + 5 = 10>0.
6
.
. 17
4.
5(
. 18).
1.
3+3=60. 5.
3, 6, 7 3 ( . 19). 2: 7 + 3 = 10, .
3
.
41
: 7 + 5 = 12>7; 7 + 4 = 11>5; . 2, 4, 6. 6, 4 .
. 19
6.
2 (
2
.
. 20). 1 3. , . . 10 + 5 = 15>6, 10 + 3 = 13>7.
. 20
7.
1(
. 21). ,
2, 4, 5. . . 6 + 5 = 11>10, 6 + 2 = 8>4,
6 + 3 = 9>3.
. 21
.
42
. 11.
11 ,
,
1–7 2–7 3–7 4–7 5–7 6–7 7–7
6 10 7 7 3 5 0
1–5–7 2–3–6–7 3–6–7 4–7 5–7 6–7
7. 1
16,
,
. 22 ,
,
. -
,
.
, .
. 22
1. 2.
16
14, 11, 13, 15. .
14. 10 16 .
10, 9, 16. .
-
10, 12, 10, 13. .
16
3.
9, 12, 16.
0.
: 10 + 9 = 19, , . . 10 + 10 = 20>0. 11. 19, 21, 0. 13. 9: 10 + 9 = 1920, 13 + 13 = 26>0. 10. 10, 12, 26, 29.
.
10
.
13
. 4.
9.
11, 13, 8, 5, 6. 12, 10, 23, 29, 25. . 9
8, 9 . 5.
8.
9, 15, 7, 4. 8
19, 13, 32, 35.
-
. 6.
12.
24 + 14 = 38>10. 7.
5, 13. , . . 24 + 10 = 34>29,
12
. 6.
10, 9, 4, 3. 19, 19, 28, 29. , . . 25 + 3 = 28