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Appendices

Table of Lowest First Column Vectors

m:234567891011 121314151617181920212223
c:23452789211 41324161721944223
f00: 0
1
 0
1
2
 0
1
2
3
 0
1
2
4
3
 0
1
2
3
4
5
 0
1
3
2
6
4
5
 0
1
2
4
3
6
7
5
 0
1
3
4
7
2
6
8
5
 0
1
2
3
4
5
6
7
8
9
 0
1
2
4
8
5
10
9
7
3
6
 0
1
2
3
6
10
4
9
11
8
7
5
 0
1
2
4
8
3
6
12
11
9
5
10
7
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
 0
1
2
6
3
14
9
12
11
4
10
8
13
5
7
 0
1
2
4
8
3
6
12
11
5
10
7
14
15
13
9
 0
1
3
9
10
13
5
15
11
16
14
8
7
4
12
2
6
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 0
1
2
4
8
16
13
7
14
9
18
17
15
11
3
6
12
5
10
 0
1
2
3
7
6
13
18
17
15
11
5
8
16
19
14
4
10
12
9
 0
1
2
4
3
9
17
11
6
19
10
7
5
14
18
8
15
20
13
16
12
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
 0
1
5
2
10
4
20
8
17
16
11
9
22
18
21
13
19
3
15
6
7
12
14

Table of Lowest First Row Vectors

m:c:g00:
220 1
330 1 2
440 1 2 3
550 1 2 3 4
620 1
770 1 2 3 4 5 6
880 1 2 3 4 5 6 7
990 1 2 3 4 5 6 7 8
1020 1
11110 1 2 3 4 5 6 7 8 9 10
1240 1 2 3
13130 1 2 3 4 5 6 7 8 9 10 11 12
1420 1
1540 1 2 6
16160 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
17170 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1820 1
19190 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
2040 1 2 3
2140 1 2 4
2220 1
23230 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Addition and Multiplication Tables for Lowest First Column Vectors

Addition and Multiplication Tables for m=2, c=2

0+ 1+ 0x 1x
+ 0 1 x 0 1
0
1
 0
1
 1
0
 0
1
 0
0
 0
1

Addition and Multiplication Tables for m=3, c=3

0+ 1+ 2+ 0x 1x 2x
+ 0 1 2 x 0 1 2
0
1
2
 0
1
2
 1
2
0
 2
0
1
 0
1
2
 0
0
0
 0
1
2
 0
2
1

Addition and Multiplication Tables for m=4, c=4

0+ 1+ 2+ 3+ 0x 1x 2x 3x
+ 0 1 2 3 x 0 1 2 3
0
1
2
3
 0
1
2
3
 1
0
3
2
 2
3
0
1
 3
2
1
0
 0
1
2
3
 0
0
0
0
 0
1
2
3
 0
2
3
1
 0
3
1
2

Addition and Multiplication Tables for m=5, c=5

0+ 1+ 2+ 3+ 4+ 0x 1x 2x 3x 4x
+ 0 1 2 3 4 x 0 1 2 3 4
0
1
2
3
4
 0
1
2
3
4
 1
2
3
4
0
 2
3
4
0
1
 3
4
0
1
2
 4
0
1
2
3
 0
1
2
3
4
 0
0
0
0
0
 0
1
2
3
4
 0
2
4
1
3
 0
3
1
4
2
 0
4
3
2
1

Addition and Multiplication Tables for m=6, c=2

0+ 1+ 2+ 3+ 4+ 5+ 0x 1x 2x 3x 4x 5x
+ 0 1 2 3 4 5 x 0 1 2 3 4 5
0
1
2
3
4
5
 0
1
2
3
4
5
 1
2
3
4
5
0
 2
3
4
5
0
1
 3
4
5
0
1
2
 4
5
0
1
2
3
 5
0
1
2
3
4
 0
1
2
3
4
5
 0
0
0
0
0
0
 0
1
2
3
4
5
 0
2
3
4
5
1
 0
3
4
5
1
2
 0
4
5
1
2
3
 0
5
1
2
3
4

Addition and Multiplication Tables for m=7, c=7

0+ 1+ 2+ 3+ 4+ 5+ 6+ 0x 1x 2x 3x 4x 5x 6x
+ 0 1 2 3 4 5 6 x 0 1 2 3 4 5 6
0
1
2
3
4
5
6
 0
1
2
3
4
5
6
 1
2
3
4
5
6
0
 2
3
4
5
6
0
1
 3
4
5
6
0
1
2
 4
5
6
0
1
2
3
 5
6
0
1
2
3
4
 6
0
1
2
3
4
5
 0
1
2
3
4
5
6
 0
0
0
0
0
0
0
 0
1
2
3
4
5
6
 0
2
4
6
1
3
5
 0
3
6
2
5
1
4
 0
4
1
5
2
6
3
 0
5
3
1
6
4
2
 0
6
5
4
3
2
1

Addition and Multiplication Tables for m=8, c=8

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 0x 1x 2x 3x 4x 5x 6x 7x
+ 0 1 2 3 4 5 6 7 x 0 1 2 3 4 5 6 7
0
1
2
3
4
5
6
7
 0
1
2
3
4
5
6
7
 1
0
3
2
5
4
7
6
 2
3
0
1
6
7
4
5
 3
2
1
0
7
6
5
4
 4
5
6
7
0
1
2
3
 5
4
7
6
1
0
3
2
 6
7
4
5
2
3
0
1
 7
6
5
4
3
2
1
0
 0
1
2
3
4
5
6
7
 0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
 0
2
4
6
3
1
7
5
 0
3
6
5
7
4
1
2
 0
4
3
7
6
2
5
1
 0
5
1
4
2
7
3
6
 0
6
7
1
5
3
2
4
 0
7
5
2
1
6
4
3

Addition and Multiplication Tables for m=9, c=9

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 0x 1x 2x 3x 4x 5x 6x 7x 8x
+ 0 1 2 3 4 5 6 7 8 x 0 1 2 3 4 5 6 7 8
0
1
2
3
4
5
6
7
8
 0
1
2
3
4
5
6
7
8
 1
2
0
4
5
3
7
8
6
 2
0
1
5
3
4
8
6
7
 3
4
5
6
7
8
0
1
2
 4
5
3
7
8
6
1
2
0
 5
3
4
8
6
7
2
0
1
 6
7
8
0
1
2
3
4
5
 7
8
6
1
2
0
4
5
3
 8
6
7
2
0
1
5
3
4
 0
1
2
3
4
5
6
7
8
 0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
 0
2
1
6
8
7
3
5
4
 0
3
6
4
7
1
8
2
5
 0
4
8
7
2
3
5
6
1
 0
5
7
1
3
8
2
4
6
 0
6
3
8
5
2
4
1
7
 0
7
5
2
6
4
1
8
3
 0
8
4
5
1
6
7
3
2

Addition and Multiplication Tables for m=10, c=2

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 0x 1x 2x 3x 4x 5x 6x 7x 8x 9x
+ 0 1 2 3 4 5 6 7 8 9 x 0 1 2 3 4 5 6 7 8 9
0
1
2
3
4
5
6
7
8
9
 0
1
2
3
4
5
6
7
8
9
 1
2
3
4
5
6
7
8
9
0
 2
3
4
5
6
7
8
9
0
1
 3
4
5
6
7
8
9
0
1
2
 4
5
6
7
8
9
0
1
2
3
 5
6
7
8
9
0
1
2
3
4
 6
7
8
9
0
1
2
3
4
5
 7
8
9
0
1
2
3
4
5
6
 8
9
0
1
2
3
4
5
6
7
 9
0
1
2
3
4
5
6
7
8
 0
1
2
3
4
5
6
7
8
9
 0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
 0
2
3
4
5
6
7
8
9
1
 0
3
4
5
6
7
8
9
1
2
 0
4
5
6
7
8
9
1
2
3
 0
5
6
7
8
9
1
2
3
4
 0
6
7
8
9
1
2
3
4
5
 0
7
8
9
1
2
3
4
5
6
 0
8
9
1
2
3
4
5
6
7
 0
9
1
2
3
4
5
6
7
8

Addition and Multiplication Tables for m=11, c=11

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x
+ 0 1 2 3 4 5 6 7 8 9 10 x 0 1 2 3 4 5 6 7 8 9 10
0
1
2
3
4
5
6
7
8
9
10
 0
1
2
3
4
5
6
7
8
9
10
 1
2
3
4
5
6
7
8
9
10
0
 2
3
4
5
6
7
8
9
10
0
1
 3
4
5
6
7
8
9
10
0
1
2
 4
5
6
7
8
9
10
0
1
2
3
 5
6
7
8
9
10
0
1
2
3
4
 6
7
8
9
10
0
1
2
3
4
5
 7
8
9
10
0
1
2
3
4
5
6
 8
9
10
0
1
2
3
4
5
6
7
 9
10
0
1
2
3
4
5
6
7
8
 10
0
1
2
3
4
5
6
7
8
9
 0
1
2
3
4
5
6
7
8
9
10
 0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
 0
2
4
6
8
10
1
3
5
7
9
 0
3
6
9
1
4
7
10
2
5
8
 0
4
8
1
5
9
2
6
10
3
7
 0
5
10
4
9
3
8
2
7
1
6
 0
6
1
7
2
8
3
9
4
10
5
 0
7
3
10
6
2
9
5
1
8
4
 0
8
5
2
10
7
4
1
9
6
3
 0
9
7
5
3
1
10
8
6
4
2
 0
10
9
8
7
6
5
4
3
2
1

Addition and Multiplication Tables for m=12, c=4

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x
+ 0 1 2 3 4 5 6 7 8 9 10 11 x 0 1 2 3 4 5 6 7 8 9 10 11
0
1
2
3
4
5
6
7
8
9
10
11
 0
1
2
3
4
5
6
7
8
9
10
11
 1
8
3
10
5
0
7
2
9
4
11
6
 2
3
4
5
6
7
8
9
10
11
0
1
 3
10
5
0
7
2
9
4
11
6
1
8
 4
5
6
7
8
9
10
11
0
1
2
3
 5
0
7
2
9
4
11
6
1
8
3
10
 6
7
8
9
10
11
0
1
2
3
4
5
 7
2
9
4
11
6
1
8
3
10
5
0
 8
9
10
11
0
1
2
3
4
5
6
7
 9
4
11
6
1
8
3
10
5
0
7
2
 10
11
0
1
2
3
4
5
6
7
8
9
 11
6
1
8
3
10
5
0
7
2
9
4
 0
1
2
3
4
5
6
7
8
9
10
11
 0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
 0
2
3
6
9
1
10
5
7
11
4
8
 0
3
6
10
11
2
4
1
5
8
9
7
 0
4
9
11
5
10
8
6
3
1
7
2
 0
5
1
2
10
7
3
8
11
4
6
9
 0
6
10
4
8
3
9
2
1
7
11
5
 0
7
5
1
6
8
2
11
9
10
3
4
 0
8
7
5
3
11
1
9
4
6
2
10
 0
9
11
8
1
4
7
10
6
2
5
3
 0
10
4
9
7
6
11
3
2
5
8
1
 0
11
8
7
2
9
5
4
10
3
1
6

Addition and Multiplication Tables for m=13, c=13

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 x 0 1 2 3 4 5 6 7 8 9 10 11 12
0
1
2
3
4
5
6
7
8
9
10
11
12
 0
1
2
3
4
5
6
7
8
9
10
11
12
 1
2
3
4
5
6
7
8
9
10
11
12
0
 2
3
4
5
6
7
8
9
10
11
12
0
1
 3
4
5
6
7
8
9
10
11
12
0
1
2
 4
5
6
7
8
9
10
11
12
0
1
2
3
 5
6
7
8
9
10
11
12
0
1
2
3
4
 6
7
8
9
10
11
12
0
1
2
3
4
5
 7
8
9
10
11
12
0
1
2
3
4
5
6
 8
9
10
11
12
0
1
2
3
4
5
6
7
 9
10
11
12
0
1
2
3
4
5
6
7
8
 10
11
12
0
1
2
3
4
5
6
7
8
9
 11
12
0
1
2
3
4
5
6
7
8
9
10
 12
0
1
2
3
4
5
6
7
8
9
10
11
 0
1
2
3
4
5
6
7
8
9
10
11
12
 0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
 0
2
4
6
8
10
12
1
3
5
7
9
11
 0
3
6
9
12
2
5
8
11
1
4
7
10
 0
4
8
12
3
7
11
2
6
10
1
5
9
 0
5
10
2
7
12
4
9
1
6
11
3
8
 0
6
12
5
11
4
10
3
9
2
8
1
7
 0
7
1
8
2
9
3
10
4
11
5
12
6
 0
8
3
11
6
1
9
4
12
7
2
10
5
 0
9
5
1
10
6
2
11
7
3
12
8
4
 0
10
7
4
1
11
8
5
2
12
9
6
3
 0
11
9
7
5
3
1
12
10
8
6
4
2
 0
12
11
10
9
8
7
6
5
4
3
2
1

Addition and Multiplication Tables for m=14, c=2

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13
0
1
2
3
4
5
6
7
8
9
10
11
12
13
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
 1
2
3
4
5
6
7
8
9
10
11
12
13
0
 2
3
4
5
6
7
8
9
10
11
12
13
0
1
 3
4
5
6
7
8
9
10
11
12
13
0
1
2
 4
5
6
7
8
9
10
11
12
13
0
1
2
3
 5
6
7
8
9
10
11
12
13
0
1
2
3
4
 6
7
8
9
10
11
12
13
0
1
2
3
4
5
 7
8
9
10
11
12
13
0
1
2
3
4
5
6
 8
9
10
11
12
13
0
1
2
3
4
5
6
7
 9
10
11
12
13
0
1
2
3
4
5
6
7
8
 10
11
12
13
0
1
2
3
4
5
6
7
8
9
 11
12
13
0
1
2
3
4
5
6
7
8
9
10
 12
13
0
1
2
3
4
5
6
7
8
9
10
11
 13
0
1
2
3
4
5
6
7
8
9
10
11
12
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13
0
1
2
3
4
5
6
7
8
9
10
11
12
13
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
 0
2
3
4
5
6
7
8
9
10
11
12
13
1
 0
3
4
5
6
7
8
9
10
11
12
13
1
2
 0
4
5
6
7
8
9
10
11
12
13
1
2
3
 0
5
6
7
8
9
10
11
12
13
1
2
3
4
 0
6
7
8
9
10
11
12
13
1
2
3
4
5
 0
7
8
9
10
11
12
13
1
2
3
4
5
6
 0
8
9
10
11
12
13
1
2
3
4
5
6
7
 0
9
10
11
12
13
1
2
3
4
5
6
7
8
 0
10
11
12
13
1
2
3
4
5
6
7
8
9
 0
11
12
13
1
2
3
4
5
6
7
8
9
10
 0
12
13
1
2
3
4
5
6
7
8
9
10
11
 0
13
1
2
3
4
5
6
7
8
9
10
11
12

Addition and Multiplication Tables for m=15, c=4

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 1
2
3
4
5
6
7
8
9
10
11
12
13
14
0
 2
3
4
5
6
7
8
9
10
11
12
13
14
0
1
 3
4
5
6
7
8
9
10
11
12
13
14
0
1
2
 4
5
6
7
8
9
10
11
12
13
14
0
1
2
3
 5
6
7
8
9
10
11
12
13
14
0
1
2
3
4
 6
7
8
9
10
11
12
13
14
0
1
2
3
4
5
 7
8
9
10
11
12
13
14
0
1
2
3
4
5
6
 8
9
10
11
12
13
14
0
1
2
3
4
5
6
7
 9
10
11
12
13
14
0
1
2
3
4
5
6
7
8
 10
11
12
13
14
0
1
2
3
4
5
6
7
8
9
 11
12
13
14
0
1
2
3
4
5
6
7
8
9
10
 12
13
14
0
1
2
3
4
5
6
7
8
9
10
11
 13
14
0
1
2
3
4
5
6
7
8
9
10
11
12
 14
0
1
2
3
4
5
6
7
8
9
10
11
12
13
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x 14x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 0
2
6
14
10
7
3
1
13
12
8
4
11
5
9
 0
3
14
12
13
2
9
6
7
4
5
8
10
1
11
 0
4
10
13
6
12
8
11
14
7
3
2
1
9
5
 0
5
7
2
12
8
1
13
4
3
11
9
14
10
6
 0
6
3
9
8
1
14
2
5
11
13
10
4
7
12
 0
7
1
6
11
13
2
5
10
14
4
12
9
8
3
 0
8
13
7
14
4
5
10
12
2
9
3
6
11
1
 0
9
12
4
7
3
11
14
2
8
1
5
13
6
10
 0
10
8
5
3
11
13
4
9
1
14
6
2
12
7
 0
11
4
8
2
9
10
12
3
5
6
1
7
14
13
 0
12
11
10
1
14
4
9
6
13
2
7
5
3
8
 0
13
5
1
9
10
7
8
11
6
12
14
3
4
2
 0
14
9
11
5
6
12
3
1
10
7
13
8
2
4

Addition and Multiplication Tables for m=16, c=16

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+ 15+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 1
0
3
2
5
4
7
6
9
8
11
10
13
12
15
14
 2
3
0
1
6
7
4
5
10
11
8
9
14
15
12
13
 3
2
1
0
7
6
5
4
11
10
9
8
15
14
13
12
 4
5
6
7
0
1
2
3
12
13
14
15
8
9
10
11
 5
4
7
6
1
0
3
2
13
12
15
14
9
8
11
10
 6
7
4
5
2
3
0
1
14
15
12
13
10
11
8
9
 7
6
5
4
3
2
1
0
15
14
13
12
11
10
9
8
 8
9
10
11
12
13
14
15
0
1
2
3
4
5
6
7
 9
8
11
10
13
12
15
14
1
0
3
2
5
4
7
6
 10
11
8
9
14
15
12
13
2
3
0
1
6
7
4
5
 11
10
9
8
15
14
13
12
3
2
1
0
7
6
5
4
 12
13
14
15
8
9
10
11
4
5
6
7
0
1
2
3
 13
12
15
14
9
8
11
10
5
4
7
6
1
0
3
2
 14
15
12
13
10
11
8
9
6
7
4
5
2
3
0
1
 15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x 14x 15x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 0
2
4
6
8
10
12
14
3
1
7
5
11
9
15
13
 0
3
6
5
12
15
10
9
11
8
13
14
7
4
1
2
 0
4
8
12
3
7
11
15
6
2
14
10
5
1
13
9
 0
5
10
15
7
2
13
8
14
11
4
1
9
12
3
6
 0
6
12
10
11
13
7
1
5
3
9
15
14
8
2
4
 0
7
14
9
15
8
1
6
13
10
3
4
2
5
12
11
 0
8
3
11
6
14
5
13
12
4
15
7
10
2
9
1
 0
9
1
8
2
11
3
10
4
13
5
12
6
15
7
14
 0
10
7
13
14
4
9
3
15
5
8
2
1
11
6
12
 0
11
5
14
10
1
15
4
7
12
2
9
13
6
8
3
 0
12
11
7
5
9
14
2
10
6
1
13
15
3
4
8
 0
13
9
4
1
12
8
5
2
15
11
6
3
14
10
7
 0
14
15
1
13
3
2
12
9
7
6
8
4
10
11
5
 0
15
13
2
9
6
4
11
1
14
12
3
8
7
5
10

Addition and Multiplication Tables for m=17, c=17

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+ 15+ 16+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
0
 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
0
1
 3
4
5
6
7
8
9
10
11
12
13
14
15
16
0
1
2
 4
5
6
7
8
9
10
11
12
13
14
15
16
0
1
2
3
 5
6
7
8
9
10
11
12
13
14
15
16
0
1
2
3
4
 6
7
8
9
10
11
12
13
14
15
16
0
1
2
3
4
5
 7
8
9
10
11
12
13
14
15
16
0
1
2
3
4
5
6
 8
9
10
11
12
13
14
15
16
0
1
2
3
4
5
6
7
 9
10
11
12
13
14
15
16
0
1
2
3
4
5
6
7
8
 10
11
12
13
14
15
16
0
1
2
3
4
5
6
7
8
9
 11
12
13
14
15
16
0
1
2
3
4
5
6
7
8
9
10
 12
13
14
15
16
0
1
2
3
4
5
6
7
8
9
10
11
 13
14
15
16
0
1
2
3
4
5
6
7
8
9
10
11
12
 14
15
16
0
1
2
3
4
5
6
7
8
9
10
11
12
13
 15
16
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 16
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x 14x 15x 16x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
 0
2
4
6
8
10
12
14
16
1
3
5
7
9
11
13
15
 0
3
6
9
12
15
1
4
7
10
13
16
2
5
8
11
14
 0
4
8
12
16
3
7
11
15
2
6
10
14
1
5
9
13
 0
5
10
15
3
8
13
1
6
11
16
4
9
14
2
7
12
 0
6
12
1
7
13
2
8
14
3
9
15
4
10
16
5
11
 0
7
14
4
11
1
8
15
5
12
2
9
16
6
13
3
10
 0
8
16
7
15
6
14
5
13
4
12
3
11
2
10
1
9
 0
9
1
10
2
11
3
12
4
13
5
14
6
15
7
16
8
 0
10
3
13
6
16
9
2
12
5
15
8
1
11
4
14
7
 0
11
5
16
10
4
15
9
3
14
8
2
13
7
1
12
6
 0
12
7
2
14
9
4
16
11
6
1
13
8
3
15
10
5
 0
13
9
5
1
14
10
6
2
15
11
7
3
16
12
8
4
 0
14
11
8
5
2
16
13
10
7
4
1
15
12
9
6
3
 0
15
13
11
9
7
5
3
1
16
14
12
10
8
6
4
2
 0
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1

Addition and Multiplication Tables for m=18, c=2

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+ 15+ 16+ 17+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 1
2
9
4
5
12
7
8
15
10
11
0
13
14
3
16
17
6
 2
9
10
5
12
13
8
15
16
11
0
1
14
3
4
17
6
7
 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
0
1
2
 4
5
12
7
8
15
10
11
0
13
14
3
16
17
6
1
2
9
 5
12
13
8
15
16
11
0
1
14
3
4
17
6
7
2
9
10
 6
7
8
9
10
11
12
13
14
15
16
17
0
1
2
3
4
5
 7
8
15
10
11
0
13
14
3
16
17
6
1
2
9
4
5
12
 8
15
16
11
0
1
14
3
4
17
6
7
2
9
10
5
12
13
 9
10
11
12
13
14
15
16
17
0
1
2
3
4
5
6
7
8
 10
11
0
13
14
3
16
17
6
1
2
9
4
5
12
7
8
15
 11
0
1
14
3
4
17
6
7
2
9
10
5
12
13
8
15
16
 12
13
14
15
16
17
0
1
2
3
4
5
6
7
8
9
10
11
 13
14
3
16
17
6
1
2
9
4
5
12
7
8
15
10
11
0
 14
3
4
17
6
7
2
9
10
5
12
13
8
15
16
11
0
1
 15
16
17
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 16
17
6
1
2
9
4
5
12
7
8
15
10
11
0
13
14
3
 17
6
7
2
9
10
5
12
13
8
15
16
11
0
1
14
3
4
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x 14x 15x 16x 17x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
1
 0
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
1
2
 0
4
5
6
7
8
9
10
11
12
13
14
15
16
17
1
2
3
 0
5
6
7
8
9
10
11
12
13
14
15
16
17
1
2
3
4
 0
6
7
8
9
10
11
12
13
14
15
16
17
1
2
3
4
5
 0
7
8
9
10
11
12
13
14
15
16
17
1
2
3
4
5
6
 0
8
9
10
11
12
13
14
15
16
17
1
2
3
4
5
6
7
 0
9
10
11
12
13
14
15
16
17
1
2
3
4
5
6
7
8
 0
10
11
12
13
14
15
16
17
1
2
3
4
5
6
7
8
9
 0
11
12
13
14
15
16
17
1
2
3
4
5
6
7
8
9
10
 0
12
13
14
15
16
17
1
2
3
4
5
6
7
8
9
10
11
 0
13
14
15
16
17
1
2
3
4
5
6
7
8
9
10
11
12
 0
14
15
16
17
1
2
3
4
5
6
7
8
9
10
11
12
13
 0
15
16
17
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 0
16
17
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 0
17
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16

Addition and Multiplication Tables for m=19, c=19

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+ 15+ 16+ 17+ 18+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
0
 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
0
1
 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
0
1
2
 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
0
1
2
3
 5
6
7
8
9
10
11
12
13
14
15
16
17
18
0
1
2
3
4
 6
7
8
9
10
11
12
13
14
15
16
17
18
0
1
2
3
4
5
 7
8
9
10
11
12
13
14
15
16
17
18
0
1
2
3
4
5
6
 8
9
10
11
12
13
14
15
16
17
18
0
1
2
3
4
5
6
7
 9
10
11
12
13
14
15
16
17
18
0
1
2
3
4
5
6
7
8
 10
11
12
13
14
15
16
17
18
0
1
2
3
4
5
6
7
8
9
 11
12
13
14
15
16
17
18
0
1
2
3
4
5
6
7
8
9
10
 12
13
14
15
16
17
18
0
1
2
3
4
5
6
7
8
9
10
11
 13
14
15
16
17
18
0
1
2
3
4
5
6
7
8
9
10
11
12
 14
15
16
17
18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
 15
16
17
18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 16
17
18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 17
18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
 18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x 14x 15x 16x 17x 18x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
 0
2
4
6
8
10
12
14
16
18
1
3
5
7
9
11
13
15
17
 0
3
6
9
12
15
18
2
5
8
11
14
17
1
4
7
10
13
16
 0
4
8
12
16
1
5
9
13
17
2
6
10
14
18
3
7
11
15
 0
5
10
15
1
6
11
16
2
7
12
17
3
8
13
18
4
9
14
 0
6
12
18
5
11
17
4
10
16
3
9
15
2
8
14
1
7
13
 0
7
14
2
9
16
4
11
18
6
13
1
8
15
3
10
17
5
12
 0
8
16
5
13
2
10
18
7
15
4
12
1
9
17
6
14
3
11
 0
9
18
8
17
7
16
6
15
5
14
4
13
3
12
2
11
1
10
 0
10
1
11
2
12
3
13
4
14
5
15
6
16
7
17
8
18
9
 0
11
3
14
6
17
9
1
12
4
15
7
18
10
2
13
5
16
8
 0
12
5
17
10
3
15
8
1
13
6
18
11
4
16
9
2
14
7
 0
13
7
1
14
8
2
15
9
3
16
10
4
17
11
5
18
12
6
 0
14
9
4
18
13
8
3
17
12
7
2
16
11
6
1
15
10
5
 0
15
11
7
3
18
14
10
6
2
17
13
9
5
1
16
12
8
4
 0
16
13
10
7
4
1
17
14
11
8
5
2
18
15
12
9
6
3
 0
17
15
13
11
9
7
5
3
1
18
16
14
12
10
8
6
4
2
 0
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1

Addition and Multiplication Tables for m=20, c=4

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+ 15+ 16+ 17+ 18+ 19+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
 1
12
3
14
5
16
7
18
9
0
11
2
13
4
15
6
17
8
19
10
 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
0
1
 3
14
5
16
7
18
9
0
11
2
13
4
15
6
17
8
19
10
1
12
 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
0
1
2
3
 5
16
7
18
9
0
11
2
13
4
15
6
17
8
19
10
1
12
3
14
 6
7
8
9
10
11
12
13
14
15
16
17
18
19
0
1
2
3
4
5
 7
18
9
0
11
2
13
4
15
6
17
8
19
10
1
12
3
14
5
16
 8
9
10
11
12
13
14
15
16
17
18
19
0
1
2
3
4
5
6
7
 9
0
11
2
13
4
15
6
17
8
19
10
1
12
3
14
5
16
7
18
 10
11
12
13
14
15
16
17
18
19
0
1
2
3
4
5
6
7
8
9
 11
2
13
4
15
6
17
8
19
10
1
12
3
14
5
16
7
18
9
0
 12
13
14
15
16
17
18
19
0
1
2
3
4
5
6
7
8
9
10
11
 13
4
15
6
17
8
19
10
1
12
3
14
5
16
7
18
9
0
11
2
 14
15
16
17
18
19
0
1
2
3
4
5
6
7
8
9
10
11
12
13
 15
6
17
8
19
10
1
12
3
14
5
16
7
18
9
0
11
2
13
4
 16
17
18
19
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 17
8
19
10
1
12
3
14
5
16
7
18
9
0
11
2
13
4
15
6
 18
19
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 19
10
1
12
3
14
5
16
7
18
9
0
11
2
13
4
15
6
17
8
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x 14x 15x 16x 17x 18x 19x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
 0
2
3
7
10
8
13
6
16
1
12
5
9
18
4
11
19
15
17
14
 0
3
7
6
12
16
18
13
19
2
9
8
1
17
10
5
14
11
15
4
 0
4
10
12
8
18
1
9
17
14
16
13
19
2
5
6
15
7
3
11
 0
5
8
16
18
2
14
19
3
11
17
1
15
4
13
9
7
12
10
6
 0
6
13
18
1
14
15
17
4
7
2
19
3
11
9
16
10
8
5
12
 0
7
6
13
9
19
17
18
14
3
1
16
2
15
12
8
4
5
11
10
 0
8
16
19
17
3
4
14
7
5
15
2
11
10
18
1
6
9
12
13
 0
9
1
2
14
11
7
3
5
12
4
15
10
6
19
17
8
18
13
16
 0
10
12
9
16
17
2
1
15
4
19
18
14
3
8
13
11
6
7
5
 0
11
5
8
13
1
19
16
2
15
18
9
17
14
6
12
3
10
4
7
 0
12
9
1
19
15
3
2
11
10
14
17
4
7
16
18
5
13
6
8
 0
13
18
17
2
4
11
15
10
6
3
14
7
5
1
19
12
16
8
9
 0
14
4
10
5
13
9
12
18
19
8
6
16
1
11
7
17
3
2
15
 0
15
11
5
6
9
16
8
1
17
13
12
18
19
7
10
2
4
14
3
 0
16
19
14
15
7
10
4
6
8
11
3
5
12
17
2
13
1
9
18
 0
17
15
11
7
12
8
5
9
18
6
10
13
16
3
4
1
14
19
2
 0
18
17
15
3
10
5
11
12
13
7
4
6
8
2
14
9
19
16
1
 0
19
14
4
11
6
12
10
13
16
5
7
8
9
15
3
18
2
1
17

Addition and Multiplication Tables for m=21, c=4

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+ 15+ 16+ 17+ 18+ 19+ 20+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0
 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0
1
 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0
1
2
 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0
1
2
3
 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0
1
2
3
4
 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0
1
2
3
4
5
 7
8
9
10
11
12
13
14
15
16
17
18
19
20
0
1
2
3
4
5
6
 8
9
10
11
12
13
14
15
16
17
18
19
20
0
1
2
3
4
5
6
7
 9
10
11
12
13
14
15
16
17
18
19
20
0
1
2
3
4
5
6
7
8
 10
11
12
13
14
15
16
17
18
19
20
0
1
2
3
4
5
6
7
8
9
 11
12
13
14
15
16
17
18
19
20
0
1
2
3
4
5
6
7
8
9
10
 12
13
14
15
16
17
18
19
20
0
1
2
3
4
5
6
7
8
9
10
11
 13
14
15
16
17
18
19
20
0
1
2
3
4
5
6
7
8
9
10
11
12
 14
15
16
17
18
19
20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
 15
16
17
18
19
20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 16
17
18
19
20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 17
18
19
20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
 18
19
20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 19
20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
 20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x 14x 15x 16x 17x 18x 19x 20x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
 0
2
4
9
3
14
19
5
15
17
7
6
1
16
18
20
12
11
8
10
13
 0
3
9
11
17
8
7
18
13
6
14
10
4
1
15
16
2
19
20
5
12
 0
4
3
17
9
18
10
14
20
11
5
19
2
12
8
13
1
6
15
7
16
 0
5
14
8
18
4
16
2
17
15
1
13
7
19
3
11
10
20
9
12
6
 0
6
19
7
10
16
8
13
2
5
20
18
11
9
12
4
17
14
1
15
3
 0
7
5
18
14
2
13
1
9
8
12
20
10
6
4
17
19
15
3
16
11
 0
8
15
13
20
17
2
9
19
16
3
1
18
5
11
10
14
12
6
4
7
 0
9
17
6
11
15
5
8
16
19
18
7
3
2
20
12
4
10
13
14
1
 0
10
7
14
5
1
20
12
3
18
16
15
19
11
2
9
6
8
4
13
17
 0
11
6
10
19
13
18
20
1
7
15
14
17
3
16
2
9
5
12
8
4
 0
12
1
4
2
7
11
10
18
3
19
17
16
20
5
8
13
9
14
6
15
 0
13
16
1
12
19
9
6
5
2
11
3
20
8
10
14
15
4
7
17
18
 0
14
18
15
8
3
12
4
11
20
2
16
5
10
9
6
7
13
17
1
19
 0
15
20
16
13
11
4
17
10
12
9
2
8
14
6
7
18
1
19
3
5
 0
16
12
2
1
10
17
19
14
4
6
9
13
15
7
18
20
3
5
11
8
 0
17
11
19
6
20
14
15
12
10
8
5
9
4
13
1
3
7
16
18
2
 0
18
8
20
15
9
1
3
6
13
4
12
14
7
17
19
5
16
11
2
10
 0
19
10
5
7
12
15
16
4
14
13
8
6
17
1
3
11
18
2
20
9
 0
20
13
12
16
6
3
11
7
1
17
4
15
18
19
5
8
2
10
9
14

Addition and Multiplication Tables for m=22, c=2.

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+ 15+ 16+ 17+ 18+ 19+ 20+ 21+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
0
 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
0
1
 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
0
1
2
 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
0
1
2
3
 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
0
1
2
3
4
 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
0
1
2
3
4
5
 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
 8
9
10
11
12
13
14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
7
 9
10
11
12
13
14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
7
8
 10
11
12
13
14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
7
8
9
 11
12
13
14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
7
8
9
10
 12
13
14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
7
8
9
10
11
 13
14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
7
8
9
10
11
12
 14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
 15
16
17
18
19
20
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 16
17
18
19
20
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 17
18
19
20
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
 18
19
20
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 19
20
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
 20
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x 14x 15x 16x 17x 18x 19x 20x 21x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
 0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
1
 0
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
1
2
 0
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
1
2
3
 0
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
1
2
3
4
 0
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
1
2
3
4
5
 0
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
1
2
3
4
5
6
 0
8
9
10
11
12
13
14
15
16
17
18
19
20
21
1
2
3
4
5
6
7
 0
9
10
11
12
13
14
15
16
17
18
19
20
21
1
2
3
4
5
6
7
8
 0
10
11
12
13
14
15
16
17
18
19
20
21
1
2
3
4
5
6
7
8
9
 0
11
12
13
14
15
16
17
18
19
20
21
1
2
3
4
5
6
7
8
9
10
 0
12
13
14
15
16
17
18
19
20
21
1
2
3
4
5
6
7
8
9
10
11
 0
13
14
15
16
17
18
19
20
21
1
2
3
4
5
6
7
8
9
10
11
12
 0
14
15
16
17
18
19
20
21
1
2
3
4
5
6
7
8
9
10
11
12
13
 0
15
16
17
18
19
20
21
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 0
16
17
18
19
20
21
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 0
17
18
19
20
21
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
 0
18
19
20
21
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 0
19
20
21
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
 0
20
21
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
 0
21
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

Addition and Multiplication Tables for m=23, c=23

0+ 1+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ 11+ 12+ 13+ 14+ 15+ 16+ 17+ 18+ 19+ 20+ 21+ 22+
+ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0
 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0
1
 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0
1
2
 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0
1
2
3
 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0
1
2
3
4
 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0
1
2
3
4
5
 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0
1
2
3
4
5
6
 8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
0
1
2
3
4
5
6
7
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
0
1
2
3
4
5
6
7
8
 10
11
12
13
14
15
16
17
18
19
20
21
22
0
1
2
3
4
5
6
7
8
9
 11
12
13
14
15
16
17
18
19
20
21
22
0
1
2
3
4
5
6
7
8
9
10
 12
13
14
15
16
17
18
19
20
21
22
0
1
2
3
4
5
6
7
8
9
10
11
 13
14
15
16
17
18
19
20
21
22
0
1
2
3
4
5
6
7
8
9
10
11
12
 14
15
16
17
18
19
20
21
22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
 15
16
17
18
19
20
21
22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
 16
17
18
19
20
21
22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
 17
18
19
20
21
22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
 18
19
20
21
22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
 19
20
21
22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
 20
21
22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
 21
22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
 22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
0x 1x 2x 3x 4x 5x 6x 7x 8x 9x 10x 11x 12x 13x 14x 15x 16x 17x 18x 19x 20x 21x 22x
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
 0
2
4
6
8
10
12
14
16
18
20
22
1
3
5
7
9
11
13
15
17
19
21
 0
3
6
9
12
15
18
21
1
4
7
10
13
16
19
22
2
5
8
11
14
17
20
 0
4
8
12
16
20
1
5
9
13
17
21
2
6
10
14
18
22
3
7
11
15
19
 0
5
10
15
20
2
7
12
17
22
4
9
14
19
1
6
11
16
21
3
8
13
18
 0
6
12
18
1
7
13
19
2
8
14
20
3
9
15
21
4
10
16
22
5
11
17
 0
7
14
21
5
12
19
3
10
17
1
8
15
22
6
13
20
4
11
18
2
9
16
 0
8
16
1
9
17
2
10
18
3
11
19
4
12
20
5
13
21
6
14
22
7
15
 0
9
18
4
13
22
8
17
3
12
21
7
16
2
11
20
6
15
1
10
19
5
14
 0
10
20
7
17
4
14
1
11
21
8
18
5
15
2
12
22
9
19
6
16
3
13
 0
11
22
10
21
9
20
8
19
7
18
6
17
5
16
4
15
3
14
2
13
1
12
 0
12
1
13
2
14
3
15
4
16
5
17
6
18
7
19
8
20
9
21
10
22
11
 0
13
3
16
6
19
9
22
12
2
15
5
18
8
21
11
1
14
4
17
7
20
10
 0
14
5
19
10
1
15
6
20
11
2
16
7
21
12
3
17
8
22
13
4
18
9
 0
15
7
22
14
6
21
13
5
20
12
4
19
11
3
18
10
2
17
9
1
16
8
 0
16
9
2
18
11
4
20
13
6
22
15
8
1
17
10
3
19
12
5
21
14
7
 0
17
11
5
22
16
10
4
21
15
9
3
20
14
8
2
19
13
7
1
18
12
6
 0
18
13
8
3
21
16
11
6
1
19
14
9
4
22
17
12
7
2
20
15
10
5
 0
19
15
11
7
3
22
18
14
10
6
2
21
17
13
9
5
1
20
16
12
8
4
 0
20
17
14
11
8
5
2
22
19
16
13
10
7
4
1
21
18
15
12
9
6
3
 0
21
19
17
15
13
11
9
7
5
3
1
22
20
18
16
14
12
10
8
6
4
2
 0
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1

Arrays of Permutation Vectors

0P for m>0

0+

1P for m=2

0+ 0+
0+ 1+

2P for m=2

0+ 0+ 0+ 0+
0+ 0+ 1+ 1+
0+ 1+ 0+ 1+
0+ 1+ 1+ 0+

3P for m=2

0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+
0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+
0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+
0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+
0+ 1+ 0+ 1+ 0+ 1+ 0+ 1+
0+ 1+ 0+ 1+ 1+ 0+ 1+ 0+
0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+
0+ 1+ 1+ 0+ 1+ 0+ 0+ 1+

4P for m=2

0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+
0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+
0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+
0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+
0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+
0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+
0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+
0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+
0+ 1+ 0+ 1+ 0+ 1+ 0+ 1+ 0+ 1+ 0+ 1+ 0+ 1+ 0+ 1+
0+ 1+ 0+ 1+ 0+ 1+ 0+ 1+ 1+ 0+ 1+ 0+ 1+ 0+ 1+ 0+
0+ 1+ 0+ 1+ 1+ 0+ 1+ 0+ 0+ 1+ 0+ 1+ 1+ 0+ 1+ 0+
0+ 1+ 0+ 1+ 1+ 0+ 1+ 0+ 1+ 0+ 1+ 0+ 0+ 1+ 0+ 1+
0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+
0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+
0+ 1+ 1+ 0+ 1+ 0+ 0+ 1+ 0+ 1+ 1+ 0+ 1+ 0+ 0+ 1+
0+ 1+ 1+ 0+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 0+ 1+ 1+ 0+

5P for m=2

0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+
0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+
0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+
0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+
0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+
0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+
0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+
0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+
0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+
0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+
0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+
0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+
0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+
0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+
0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+
0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+ 0+ 0+ 1+ 1+ 0+ 0+ 1+ 1+ 1+ 1+ 0+ 0+
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1P for m=3

0+ 0+ 0+
0+ 1+ 2+
0+ 2+ 1+

2P for m=3

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0+ 2+ 1+ 2+ 1+ 0+ 1+ 0+ 2+

3P for m=3

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1P for m=4

0+ 0+ 0+ 0+
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0+ 2+ 3+ 1+
0+ 3+ 1+ 2+

2P for m=4

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1P for m=5

0+ 0+ 0+ 0+ 0+
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0+ 3+ 1+ 4+ 2+
0+ 4+ 3+ 2+ 1+

2P for m=5

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1P for m=7

0+ 0+ 0+ 0+ 0+ 0+ 0+
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0+ 6+ 5+ 4+ 3+ 2+ 1+

2P for m=7

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