7.1.
1.
, .
2.
. . , . , , . . .
. . . .
:
1) ;
2) ;
3) ;
4) : 1;
5) ( , ).
, 1, ( ). . .
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:
, ( ) ( ).
1, 4 7 190, 30 250 . 2, 3, 5 6 120, 70, 150 130 .
1 2 1, 7 5 3 . .
190 + 30 + 250 = 470, 120 + 70 + 150 + 130 = 470. .
?
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7.2.
1.
7.1.
7.1. . 15. .
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5 7 . : 1, 5 7 1. . , 1 → 5. .
120*1 + 70*3 + 0*2 + 30*2 + 120*3 + 130*7 = 1660.
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7.3.
1.
7.2 .
2.
, , .
(, 0). . , :
1) , ( , );
2) , .
: .
, .
7.2 . 1 0.
1 2 . 1. 2 0 ( 1) + 1 ( 1 → 2) = 1.
1 5 . 2. 5 0 ( 1) + 2 ( 1 → 5) = 2.
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: (1, 6), (2, 4), (3, 4), (4, 6). .
(1,6) = (1, 6) (1, 6) + (1, 6) = 4 6 + 0 = 2 < 0.
(2, 4) = (2, 4) (2, 4) + (2, 4) = 7 1 + 0 = 6.
(3,4) = (3, 4) (3, 4) + (3, 4) = 4 3 + 0 = 1.
(4, 6) = (4, 6) (4, 6) + (4, 6) = 3 6 + 0 = 3 < 0.
(4, 6) (1, 6) . .
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7.4.
1.
7.3 , .
2.
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, .
, . , , . .
1. .
3.
7.3 (4, 6) (3). (4) (6).
4 6 7 5 4 ( , ). 7 → 6 4 → 5 4 → 6.
7 → 6 4 → 5: min (30, 130) = 30.
4 6 7 5 4 4 → 6 (4 → 6 7 → 5) : 0 + 30 = 30 120 + 30 = 150 .
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. 6 1. . .
1 0 .
: (1, 6), (2, 4), (3, 4), (4, 5). .
(1, 6) = (1,6) (1, 6) + (1, 6) = 4 6 + 0 = 2 < 0.
(2, 4) = (2, 4) (2, 4) + (2, 4) = 7 3 + 1 = 5.
(3, 4) = (3, 4) (3, 4) + (3, 4) = 4 3 + 3 = 4.
(4, 5) = (4, 5) (4, 5) + (4, 5) = 2 3 + 2 = 1.
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1 6 7 5 1 ( , ). 7 → 6 1 → 5 1 → 6.
7 → 6 1 → 5: min (100, 0) = 0. . 1 → 5 .
6 1. . .
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|
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, , .
120*1 + 70*3 + 0*4 + 30*3 + 150*3 + 100*7 = 1570.
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7.5.
7.5.1.
1.
7.5.1.
2.
, ( ), , . .
, . , , .
3.
.
40 + 60 + 50 = 150. 40 + 60 + 30 = 130. .
, 150 - 130 = 20. 7. 1, 3, 6 ().
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7. 5. 2.
7.5.2.
, ( ), , . .
, . , , .
3.
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40 + 30 + 10 = 80. 20 + 50 + 30 = 100. .
, 100 - 80 = 20. 7. 1, 3, 6 ().
, . , 25. .
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1
1 1-
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | |
| - | 2 | 2 | 4 | 2 | 3 | 4 | 5 | 3 | 4 | 2 | 6 | 2 | 2 | 5 | 4 | 3 | 6 | 3 | 2 | 3 |
| - | 4 | 5 | 2 | 6 | 4 | 3 | 2 | 4 | 2 | 4 | 2 | 3 | 6 | 2 | 3 | 3 | 2 | 4 | 5 | 3 |
| 3 | 2 | 4 | 3 | 2 | 4 | 3 | 2 | 4 | 3 | 2 | 4 | 3 | 2 | 4 | 3 | 2 | 4 | 3 | 2 |
, 0.
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|
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2 1-
, .
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | |
| 1 , . | 3 | 4 | 5 | 2 | 6 | 4 | 4 | 3 | 2 | 4 | 5 | 6 | 3 | 8 | 7 | 4 | 5 | 2 | 6 | 8 |
| 2 , . | 4 | 6 | 8 | 6 | 9 | 7 | 6 | 8 | 5 | 6 | 3 | 7 | 5 | 2 | 2 | 6 | 3 | 7 | 5 | 3 |
| 3 , . | 8 | 5 | 2 | 4 | 2 | 2 | 3 | 4 | 6 | 8 | 4 | 2 | 2 | 6 | 3 | 1 | 9 | 3 | 2 | 8 |
| 4 , . | 9 | 7 | 5 | 6 | 3 | 5 | 6 | 6 | 3 | 3 | 9 | 6 | 9 | 4 | 5 | 8 | 2 | 9 | 8 | 4 |
, 0.
3 1-B
, .
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1 |
2 | |||||||||||||
| I | 3 | 7 | 6 | 1 | 8 | I | 9 | 3 | 8 | 6 | 9 | |||
| II | 1 | 4 | 9 | 5 | 4 | II | 7 | 5 | 1 | 4 | 1 | |||
| III | 6 | 8 | 1 | 6 | 6 | III | 2 | 8 | 9 | 7 | 5 | |||
| IV | 3 | 6 | 4 | 9 | 1 | IV | 6 | 3 | 5 | 3 | 8 | |||
| 6 | 4 | 5 | 8 | 6 | - | 5 | 4 | 4 | 9 | 7 | |||
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3 |
4 | |||||||||||||
| I | 4 | 3 | 1 | 3 | 8 | I | 6 | 5 | 9 | 1 | 4 | |||
| II | 7 | 8 | 4 | 7 | 6 | II | 1 | 7 | 6 | 8 | 6 | |||
| III | 5 | 3 | 8 | 1 | 2 | III | 9 | 2 | 9 | 7 | 3 | |||
| IV | 1 | 4 | 2 | 5 | 4 | IV | 7 | 6 | 1 | 3 | 9 | |||
| - | 5 | 7 | 6 | 4 | 6 | - | 6 | 5 | 6 | 8 | 4 | |||
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5 |
6 | |||||||||||||
| I | 9 | 5 | 7 | 8 | 3 | I | 7 | 4 | 8 | 7 | 5 | |||
| II | 1 | 2 | 2 | 3 | 7 | II | 5 | 6 | 2 | 3 | 6 | |||
| III | 6 | 9 | 5 | 7 | 9 | III | 9 | 3 | 8 | 6 | 2 | |||
| IV | 4 | 5 | 9 | 7 | 6 | IV | 7 | 4 | 5 | 4 | 5 | |||
| - | 3 | 6 | 9 | 6 | 8 | - | 9 | 5 | 7 | 8 | 6 | |||
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7 |
8 | |||||||||||||
| I | 5 | 2 | 5 | 1 | 6 | I | 2 | 6 | 8 | 9 | 5 | |||
| II | 4 | 4 | 6 | 6 | 2 | II | 8 | 4 | 5 | 2 | 6 | |||
| III | 6 | 9 | 9 | 8 | 9 | III | 3 | 5 | 7 | 8 | 1 | |||
| IV | 4 | 3 | 6 | 4 | 4 | IV | 6 | 3 | 6 | 5 | 6 | |||
| - | 7 | 6 | 3 | 7 | 2 | - | 6 | 8 | 4 | 7 | 4 | |||
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9 |
10 | |||||||||||||
| I | 6 | 4 | 8 | 6 | 7 | I | 6 | 8 | 4 | 6 | 7 | |||
| II | 2 | 4 | 2 | 4 | 3 | II | 4 | 1 | 2 | 1 | 3 | |||
| III | 4 | 5 | 7 | 8 | 7 | III | 7 | 9 | 7 | 5 | 7 | |||
| IV | 9 | 9 | 3 | 5 | 8 | IV | 6 | 4 | 4 | 2 | 4 | |||
| - | 7 | 4 | 9 | 9 | 2 | - | 3 | 7 | 8 | 4 | 7 | |||
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11 |
12 | |||||||||||||
| I | 7 | 3 | 6 | 8 | 3 | I | 4 | 2 | 4 | 7 | 3 | |||
| II | 4 | 8 | 3 | 2 | 9 | II | 7 | 3 | 9 | 4 | 8 | |||
| III | 9 | 1 | 8 | 7 | 4 | III | 7 | 3 | 1 | 8 | 4 | |||
| IV | 2 | 5 | 5 | 4 | 5 | IV | 4 | 6 | 5 | 2 | 5 | |||
| - | 6 | 8 | 6 | 7 | 6 | - | 8 | 5 | 7 | 4 | 8 | |||
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13 |
14 | |||||||||||||
| I | 8 | 4 | 5 | 2 | 6 | I | 2 | 8 | 3 | 7 | 5 | |||
| II | 3 | 3 | 5 | 5 | 6 | II | 7 | 3 | 3 | 2 | 8 | |||
| III | 6 | 7 | 8 | 8 | 5 | III | 2 | 7 | 7 | 8 | 4 | |||
| IV | 5 | 2 | 3 | 2 | 8 | IV | 1 | 5 | 5 | 4 | 6 | |||
| - | 5 | 6 | 8 | 3 | 8 | - | 9 | 4 | 8 | 6 | 4 | |||
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15 |
16 | |||||||||||||
| I | 9 | 2 | 8 | 9 | 6 | I | 7 | 3 | 6 | 1 | 2 | |||
| II | 3 | 6 | 4 | 4 | 5 | II | 2 | 6 | 4 | 4 | 6 | |||
| III | 8 | 2 | 9 | 9 | 9 | III | 9 | 1 | 8 | 8 | 2 | |||
| IV | 5 | 6 | 6 | 2 | 5 | IV | 3 | 8 | 2 | 4 | 5 | |||
| - | 5 | 9 | 5 | 6 | 8 | - | 8 | 6 | 3 | 5 | 8 | |||
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17 |
18 | |||||||||||||
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| I | 2 | 4 | 6 | 3 | 1 | I | 4 | 8 | 9 | 5 | 7 | |||
| II | 9 | 8 | 3 | 7 | 4 | II | 4 | 6 | 3 | 7 | 5 | |||
| III | 5 | 3 | 6 | 8 | 6 | III | 7 | 8 | 8 | 3 | 5 | |||
| IV | 6 | 5 | 8 | 5 | 9 | IV | 2 | 1 | 4 | 9 | 2 | |||
| - | 7 | 9 | 2 | 4 | 7 | - | 6 | 9 | 4 | 7 | 9 | |||
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19 |
20 | |||||||||||||
| I | 5 | 8 | 1 | 4 | 5 | I | 4 | 5 | 6 | 6 | 9 | |||
| II | 1 | 3 | 9 | 8 | 2 | II | 9 | 2 | 3 | 4 | 1 | |||
| III | 7 | 5 | 3 | 4 | 6 | III | 3 | 9 | 6 | 9 | 5 | |||
| IV | 4 | 5 | 8 | 7 | 4 | IV | 5 | 4 | 5 | 3 | 6 | |||
| - | 7 | 4 | 6 | 5 | 6 | - | 6 | 7 | 4 | 5 | 7 | |||
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2
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1 |
2 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 1 | 1 | 2 | 2 | I | 1 | 1 | 2 | 1 | |||
| II | 3 | 2 | 3 | 3 | II | 4 | 2 | 4 | 3 | |||
| III | 1 | 1 | 4 | 5 | III | 2 | 1 | 5 | 4 | |||
| IV | 3 | 3 | 5 | 4 | IV | 1 | 2 | 3 | 2 | |||
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3 |
4 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 2 | 1 | 4 | 2 | I | 2 | 1 | 4 | 2 | |||
| II | 3 | 2 | 5 | 3 | II | 1 | 2 | 5 | 3 | |||
| III | 2 | 1 | 6 | 5 | III | 2 | 1 | 4 | 4 | |||
| IV | 1 | 3 | 3 | 2 | IV | 3 | 3 | 3 | 3 | |||
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5 |
6 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 1 | 1 | 5 | 2 | I | 2 | 1 | 5 | 2 | |||
| II | 2 | 2 | 6 | 4 | II | 1 | 2 | 6 | 1 | |||
| III | 3 | 1 | 4 | 5 | III | 3 | 1 | 3 | 5 | |||
| IV | 1 | 4 | 3 | 3 | IV | 4 | 3 | 4 | 3 | |||
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7 |
8 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 2 | 1 | 4 | 2 | I | 2 | 2 | 1 | 6 | |||
| II | 5 | 3 | 5 | 3 | II | 5 | 4 | 2 | 7 | |||
| III | 4 | 2 | 4 | 6 | III | 6 | 5 | 3 | 4 | |||
| IV | 1 | 5 | 3 | 2 | IV | 3 | 2 | 4 | 3 | |||
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9 |
10 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 2 | 2 | 1 | 2 | I | 3 | 6 | 2 | 6 | |||
| II | 3 | 4 | 2 | 5 | II | 4 | 7 | 1 | 3 | |||
| III | 6 | 5 | 1 | 3 | III | 2 | 5 | 2 | 2 | |||
| IV | 2 | 2 | 3 | 2 | IV | 5 | 4 | 3 | 1 | |||
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11 |
12 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 1 | 5 | 4 | 2 | I | 2 | 1 | 5 | 1 | |||
| II | 2 | 4 | 5 | 5 | II | 3 | 2 | 4 | 3 | |||
| III | 1 | 3 | 6 | 4 | III | 4 | 1 | 5 | 1 | |||
| IV | 4 | 2 | 4 | 3 | IV | 2 | 4 |
| 5 | |||
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13 |
14 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 4 | 1 | 5 | 2 | I | 3 | 2 | 5 | 5 | |||
| II | 5 | 2 | 4 | 6 | II | 2 | 1 | 6 | 3 | |||
| III | 2 | 1 | 3 | 2 | III | 1 | 2 | 4 | 2 | |||
| IV | 4 | 3 | 4 | 1 | IV | 5 | 3 | 3 | 4 | |||
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15 |
16 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 2 | 3 | 1 | 3 | I | 4 | 3 | 4 | 1 | |||
| II | 1 | 2 | 2 | 5 | II | 5 | 2 | 5 | 2 | |||
| III | 2 | 4 | 1 | 4 | III | 3 | 1 | 3 | 1 | |||
| IV | 3 | 1 | 4 | 2 | IV | 4 | 3 | 2 | 3 | |||
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17 |
18 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 1 | 5 | 2 | 1 | I | 1 | 3 | 2 | 5 | |||
| II | 2 | 6 | 3 | 2 | II | 2 | 4 | 1 | 6 | |||
| III | 1 | 7 | 2 | 3 | III | 3 | 5 | 2 | 7 | |||
| IV | 4 | 3 | 5 | 1 | IV | 2 | 3 | 4 | 8 | |||
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19 |
20 | |||||||||||
| ( ) |
( ) | ( ) |
( ) | |||||||||
| I | 1 | 5 | 3 | 6 | I | 1 | 4 | 5 | 1 | |||
| II | 3 | 4 | 2 | 7 | II | 2 | 5 | 4 | 2 | |||
| III | 4 | 4 | 1 | 3 | III | 1 | 3 | 3 | 5 | |||
| IV | 5 | 5 | 3 | 4 | IV | 3 | 4 | 5 | 4 | |||
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3
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4
1 ( 1:1000)
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2 ( 1:500)
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3 ( 1:500)
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4 ( 1:1000)
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5 ( 1:500)
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6 ( 1:1000)
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7 ( 1:1000)
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8 ( 1:1000)
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9 ( 1:1000)
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10 ( 1:1000)
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