Question: The full set of algorithms for finding columns 9 through 1 6 in the diviner s array from Madagascar are as follows: C 9 =

The full set of algorithms for finding columns

9

through

16

in the diviner

s array from Madagascar are as follows: C

9 =

C

8

C

7,

C

10 =

C

6

C

5,

C

11 =

C

4

C

3,

C

12 =

C

2

C

1,

C

13 =

C

9

C

10,

C

14 =

C

11

C

12,

C

15 =

C

13

C

14,

and C

16 =

C

15

C

1 .

Assume that C

1 = (1, 1, 2, 2),

C

2 = (2, 2, 1, 2),

C

3 = (1, 1, 1, 2),

and C

4 = (1, 2, 2, 2) .

Recall that C

5,

C

6,

C

7,

and C

8

are the four rows of the array formed by placing the first four columns in the order C

4,

C

3,

C

2,

C

1 .

Calculate all of the columns Ci

, 5 < =

i

< = 16 .

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