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14 (. . 1).

1

(n)
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(n) <1>

1 2 3 4 5 6 7 8 9
1 10 10 10 8 10 5 10 10 10 83 1/2
2 10 10 10 10 10 7 7 9 10 83 1/2
3 8 10 8 3 8 8 8 9 10 72 6/7
4 8 10 9 3 10 8 5 10 10 73 5
5 7 10 8 1 10 6 10 6 10 68 10/11
6 7 10 8 6 8 9 8 7 8 71 8/9
7 5 3 10 8 10 8 9 7 8 68 10/11
8 7 5 10 4 10 5 6 6 8 61 12
9 5 10 10 9 10 8 7 7 8 74 4
10 5 10 10 6 10 10 8 7 10 76 3
11 5 5 8 4 3 7 5 6 9 52 14
12 7 10 10 4 8 8 7 8 9 71 8/9
13 5 10 10 3 10 10 6 8 10 72 6/7
14 3 10 8 3 8 9 5 5 5 56 13

-------------------------------
<1> .

(. . 1) , , :

1) , , (1) (. . 1).

m
a = SUM , (1)
i j=1 ij

a - i- ;

i
i = 1, 2,..., 14 - ;

j = 1, 2,..., 9 - ;

m = 9 - ;

- , j- i- ;

ij
2) . . , , , , . , . , (. . 2).

2



--------------T--------------------------T----------T------------

+--T--T--T--T--T--T--T--T--+
1 2 3 4 5 6 7 8 9
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 1 1 0 1 0 2 2 1 9 1,0
1 2
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 2 0 2 2 1 14 1,6
1 3
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 1 0 2 1 1 12 1,3
1 4
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 1 0 1 2 1 12 1,3
1 5
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 2 0 2 2 2 15 1,7
1 6
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 1 1 1 0 2 2 2 13 1,4
1 7
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 1 2 1 1 2 2 2 15 1,7
1 8
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 0 1 0 2 2 2 11 1,2
1 9
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 2 1 0 2 2 1 12 1,3
1 10
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 2 2 2 0 2 2 2 16 1,8
1 11
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 2 2 0 2 2 2 14 1,6
1 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 2 1 0 2 2 1 12 1,3
1 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 2 0 2 2 2 15 1,7
1 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 2 0 0 1 1 11 1,2
2 3
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 1 0 2 0 1 11 1,2
2 4
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 1 2 0 2 1 13 1,4
2 5
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 2 0 0 2 2 13 1,4
2 6
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 1 2 1 0 0 2 2 12 1,3
2 7
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 1 2 1 2 2 2 2 16 1,8
2 8
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 2 1 0 1 2 2 12 1,3
2 9
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 2 1 0 0 2 1 10 1,1
2 10
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 2 2 2 1 2 2 2 7 1,9
2 11
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 2 2 0 1 2 2 13 1,4
2 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 2 1 0 2 2 1 12 1,3
2 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 2 0 2 2 2 15 1,7
2 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 1 0 1 0 1 2 0 1 7 0,8
3 4
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X
3 5 2 1 1 2 0 2 0 2 1 11 1,2
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 0 1 0 1 2 2 10 1,1
3 6
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 0 0 0 1 0 2 2 9 1,0
3 7
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 0 0 0 2 2 2 2 12 1,3
3 8
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 0 0 1 2 2 2 10 1,1
3 9
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 0 0 0 1 2 1 7 0,8
3 10
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 1 0 2 2 2 2 2 15 1,7
3 11
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 0 1 1 2 2 2 11 1,2
3 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 1 0 0 2 2 1 9 1,0
3 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 1 1 0 2 2 2 12 1,3
3 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 1 2 0 2 1 13 1,4
4 5
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 0 2 0 0 2 2 11 1,2
4 6
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 0 0 1 1 0 2 2 10 1,1
4 7
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 0 0 1 2 0 2 2 11 1,2
4 8
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 0 1 1 0 2 2 9 1,0
4 9
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 0 1 0 0 2 1 7 0,8
4 10
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 15 1,7
4 11 2 2 2 0 2 2 1 2 2
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 10 1,1
4 12 2 1 0 0 2 1 0 2 2
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 1 1 0 0 2 1 8 0,9
4 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 1 2 0 1 2 2 13 1,4
4 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 1 1 0 2 0 2 0 2 9 1,0
5 6
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 0 0 1 0 2 0 2 9 1,0
5 7
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 2 0 0 1 2 2 1 2 11 1,2
5 8
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 0 1 0 2 0 2 8 0,9
5 9
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 0 1 0 2 0 1 7 0,8
5 10
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 1 0 2 0 2 1 2 12 1,3
5 11
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 1 0 0 2 0 2 0 2 8 0,9
5 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 0 1 0 2 0 1 7 0,8
5 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 0 2 0 2 2 2 12 1,3
5 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 0 0 0 2 0 1 1 8 0,9
6 7
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 2 0 2 0 2 2 2 1 12 1,3
6 8
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 0 0 2 2 1 1 9 1,0
6 9
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 1 0 0 1 1 0 6 0,7
6 10
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 2 1 2 2 2 2 2 0 15 1,7
6 11
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 1 0 2 1 2 2 0 0 9 1,0
6 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 0 2 0 0 2 0 0 7 0,8
6 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 2 1 1 2 2 2 14 1,6
6 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 0 0 1 2 1 2 2 2 1 11 1,2
7 8
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 0 1 0 1 1 2 1 1 8 0,9
7 9
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 0 1 2 1 0 2 1 0 8 0,9
7 10
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 0 2 2 2 2 2 2 0 13 1,4
7 11
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 0 0 1 2 2 1 2 0 0 8 0,9
7 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 0 1 2 1 0 2 0 0 7 0,8
7 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 0 2 2 2 0 2 2 2 14 1,6
7 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 0 1 0 1 0 0 0 1 5 0,6
8 9
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 0 1 0 1 0 0 0 0 4 0,4
8 10
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 1 2 0 2 1 0 11 1,2
8 11
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 0 1 1 2 0 0 0 0 5 0,6
8 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 0 1 2 1 0 1 0 0 7 0,8
8 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 0 2 2 2 0 2 2 2 14 1,6
8 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 1 1 2 1 0 0 1 0 7 0,8
9 10
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 2 2 2 2 2 2 2 0 15 1,7
9 11
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 0 1 1 2 2 1 1 0 0 8 0,9
9 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 1 1 2 1 0 2 0 0 8 0,9
9 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 2 0 2 2 2 15 1,7
9 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 2 2 2 2 2 2 2 2 17 1,9
10 11
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 0 1 1 2 2 2 2 0 2 12 1,3
10 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 1 1 2 1 1 2 0 1 10 1,1
10 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 2 2 2 2 2 17 1,9
10 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 0 0 0 1 0 0 0 0 1 2 0,2
11 12
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 1 0 0 2 0 0 0 0 0 3 0,3
11 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 0 1 2 0 0 1 2 2 10 1,1
11 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 1 2 0 0 2 1 0 9 1,0
12 13
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 2 1 0 2 2 2 14 1,6
12 14
+-------------+--+--+--+--+--+--+--+--+--+----------+------------+
X X 2 1 2 1 2 2 2 2 2 16 1,8
13 14
L-------------+--+--+--+--+--+--+--+--+--+----------+-------------


.
(. . 3). 3
, 2 ,
2.

, 2 X X ,

3 1
X X , 1,6.
1 3
X X 0,4 (2 - 1,6);

3 1

3

(a) (n)


----------T---T---T---T---T---T---T---T---T---T---T---T---T---T---T---------T----------
X X X X X X X X X X X X X X
1 2 3 4 5 6 7 8 9 10 11 12 13 14 (a) (n)
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 1,01,01,61,31,31,71,41,71,21,31,81,61,31,7 19,9 1
1
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 1,01,01,21,21,41,41,31,81,31,11,91,41,31,7 19,0 2
2
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,40,81,00,81,21,11,01,31,10,81,71,21,01,3 14,7 7
3
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,70,81,21,01,41,21,11,21,00,81,71,10,91,4 15,5 5
4
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,70,60,80,61,01,01,01,20,90,81,30,90,81,3 12,9 11
5
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,30,60,90,81,01,00,91,31,00,71,71,00,81,6 13,6 10
6
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,60,71,00,91,01,11,01,20,90,91,40,90,81,6 14,0 9
7
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,30,20,70,80,80,70,81,00,60,41,20,60,81,6 10,5 12
8
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,80,70,91,01,11,01,11,41,00,81,70,90,91,7 15,0 6
9
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,70,91,21,21,21,31,11,61,21,01,91,31,11,9 17,6 3
10
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,20,10,30,30,70,30,60,80,30,11,00,20,31,1 6,3 14
11
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,40,60,80,91,11,01,11,41,10,71,81,01,01,6 14,5 8
12
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,70,71,01,11,21,21,21,21,10,91,71,01,01,8 15,8 4
13
+---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+----------+
X 0,30,30,70,60,70,40,40,40,30,10,90,40,21,0 6,7 13
14
L---------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---------+-----------

3) (2):

m
SUM ( : )
j = 1 ij cj
a = ----------------, (2)
i m

a - i- ;

i
i - ;

j - ;

m - ;

- , i- j- ;

ij
- , j-
cj
(. . 4).

4

(n)

()


,








(n)
1 2 3 4 5 6 7 8 9
1 10 10 10 8 10 5 10 10 10 0,08657458318 2
2 10 10 10 10 10 7 7 9 10 0,08735555555 1
3 8 10 8 3 8 8 8 9 10 0,07276666666 7
4 8 10 9 3 10 8 5 10 10 0,07316333333 6
5 7 10 8 1 10 6 10 6 10 0,06721777777 11
6 7 10 8 6 8 9 8 7 8 0,07332333333 5
7 5 3 10 8 10 8 9 7 8 0,07124222222 10
8 7 5 10 4 10 5 6 6 8 0,06184666666 12
9 5 10 10 9 10 8 7 7 8 0,07690888888 4
10 5 10 10 6 10 10 8 7 10 0,07721444444 3
11 5 5 8 4 3 7 5 6 9 0,05333333333 14
12 7 10 10 4 8 8 7 8 9 0,07177777777 8
13 5 10 10 3 10 10 6 8 10 0,07144333333 9
14 3 10 8 3 8 9 5 5 5 0,05577888888 13

. , , .