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Covering Array Formula for l=2, m=20, r=400, n=5

1H = 0+.g00 x+

Covering Array Vectors for l=2, m=20, r=400, n=5

0.0+0+0+0+
1.0+1+2+3+
2.0+2+3+7+
3.0+3+7+6+
4.0+4+10+12+
5.0+5+8+16+
6.0+6+13+18+
7.0+7+6+13+
8.0+8+16+19+
9.0+9+1+2+
10.0+10+12+9+
11.0+11+5+8+
12.0+12+9+1+
13.0+13+18+17+
14.0+14+4+10+
15.0+15+11+5+
16.0+16+19+14+
17.0+17+15+11+
18.0+18+17+15+
19.0+19+14+4+

Covering Array Levels for l=2, m=20, r=400, n=5

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

Covering Array Formula for l=2, m=20, r=526, n=24

1H20/23 = 0+.20/230+x+20/23

Covering Array Vectors for l=2, m=20, r=526, n=24

0.'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23 0+'20/23
1.20/23 0+20/23 1+20/23 2+20/23 3+20/23 4+20/23 5+20/23 6+20/23 7+20/23 8+20/23 9+20/23 10+20/23 11+20/23 12+20/23 13+20/23 14+20/23 15+20/23 16+20/23 17+20/23 18+20/23 19+20/23 20+20/23 21+20/23 22+20/23
2.20/23 0+20/23 2+20/23 4+20/23 6+20/23 8+20/23 10+20/23 12+20/23 14+20/23 16+20/23 18+20/23 20+20/23 22+20/23 1+20/23 3+20/23 5+20/23 7+20/23 9+20/23 11+20/23 13+20/23 15+20/23 17+20/23 19+20/23 21+20/23
3.20/23 0+20/23 3+20/23 6+20/23 9+20/23 12+20/23 15+20/23 18+20/23 21+20/23 1+20/23 4+20/23 7+20/23 10+20/23 13+20/23 16+20/23 19+20/23 22+20/23 2+20/23 5+20/23 8+20/23 11+20/23 14+20/23 17+20/23 20+20/23
4.20/23 0+20/23 4+20/23 8+20/23 12+20/23 16+20/23 20+20/23 1+20/23 5+20/23 9+20/23 13+20/23 17+20/23 21+20/23 2+20/23 6+20/23 10+20/23 14+20/23 18+20/23 22+20/23 3+20/23 7+20/23 11+20/23 15+20/23 19+20/23
5.20/23 0+20/23 5+20/23 10+20/23 15+20/23 20+20/23 2+20/23 7+20/23 12+20/23 17+20/23 22+20/23 4+20/23 9+20/23 14+20/23 19+20/23 1+20/23 6+20/23 11+20/23 16+20/23 21+20/23 3+20/23 8+20/23 13+20/23 18+20/23
6.20/23 0+20/23 6+20/23 12+20/23 18+20/23 1+20/23 7+20/23 13+20/23 19+20/23 2+20/23 8+20/23 14+20/23 20+20/23 3+20/23 9+20/23 15+20/23 21+20/23 4+20/23 10+20/23 16+20/23 22+20/23 5+20/23 11+20/23 17+20/23
7.20/23 0+20/23 7+20/23 14+20/23 21+20/23 5+20/23 12+20/23 19+20/23 3+20/23 10+20/23 17+20/23 1+20/23 8+20/23 15+20/23 22+20/23 6+20/23 13+20/23 20+20/23 4+20/23 11+20/23 18+20/23 2+20/23 9+20/23 16+20/23
8.20/23 0+20/23 8+20/23 16+20/23 1+20/23 9+20/23 17+20/23 2+20/23 10+20/23 18+20/23 3+20/23 11+20/23 19+20/23 4+20/23 12+20/23 20+20/23 5+20/23 13+20/23 21+20/23 6+20/23 14+20/23 22+20/23 7+20/23 15+20/23
9.20/23 0+20/23 9+20/23 18+20/23 4+20/23 13+20/23 22+20/23 8+20/23 17+20/23 3+20/23 12+20/23 21+20/23 7+20/23 16+20/23 2+20/23 11+20/23 20+20/23 6+20/23 15+20/23 1+20/23 10+20/23 19+20/23 5+20/23 14+20/23
10.20/23 0+20/23 10+20/23 20+20/23 7+20/23 17+20/23 4+20/23 14+20/23 1+20/23 11+20/23 21+20/23 8+20/23 18+20/23 5+20/23 15+20/23 2+20/23 12+20/23 22+20/23 9+20/23 19+20/23 6+20/23 16+20/23 3+20/23 13+20/23
11.20/23 0+20/23 11+20/23 22+20/23 10+20/23 21+20/23 9+20/23 20+20/23 8+20/23 19+20/23 7+20/23 18+20/23 6+20/23 17+20/23 5+20/23 16+20/23 4+20/23 15+20/23 3+20/23 14+20/23 2+20/23 13+20/23 1+20/23 12+20/23
12.20/23 0+20/23 12+20/23 1+20/23 13+20/23 2+20/23 14+20/23 3+20/23 15+20/23 4+20/23 16+20/23 5+20/23 17+20/23 6+20/23 18+20/23 7+20/23 19+20/23 8+20/23 20+20/23 9+20/23 21+20/23 10+20/23 22+20/23 11+20/23
13.20/23 0+20/23 13+20/23 3+20/23 16+20/23 6+20/23 19+20/23 9+20/23 22+20/23 12+20/23 2+20/23 15+20/23 5+20/23 18+20/23 8+20/23 21+20/23 11+20/23 1+20/23 14+20/23 4+20/23 17+20/23 7+20/23 20+20/23 10+20/23
14.20/23 0+20/23 14+20/23 5+20/23 19+20/23 10+20/23 1+20/23 15+20/23 6+20/23 20+20/23 11+20/23 2+20/23 16+20/23 7+20/23 21+20/23 12+20/23 3+20/23 17+20/23 8+20/23 22+20/23 13+20/23 4+20/23 18+20/23 9+20/23
15.20/23 0+20/23 15+20/23 7+20/23 22+20/23 14+20/23 6+20/23 21+20/23 13+20/23 5+20/23 20+20/23 12+20/23 4+20/23 19+20/23 11+20/23 3+20/23 18+20/23 10+20/23 2+20/23 17+20/23 9+20/23 1+20/23 16+20/23 8+20/23
16.20/23 0+20/23 16+20/23 9+20/23 2+20/23 18+20/23 11+20/23 4+20/23 20+20/23 13+20/23 6+20/23 22+20/23 15+20/23 8+20/23 1+20/23 17+20/23 10+20/23 3+20/23 19+20/23 12+20/23 5+20/23 21+20/23 14+20/23 7+20/23
17.20/23 0+20/23 17+20/23 11+20/23 5+20/23 22+20/23 16+20/23 10+20/23 4+20/23 21+20/23 15+20/23 9+20/23 3+20/23 20+20/23 14+20/23 8+20/23 2+20/23 19+20/23 13+20/23 7+20/23 1+20/23 18+20/23 12+20/23 6+20/23
18.20/23 0+20/23 18+20/23 13+20/23 8+20/23 3+20/23 21+20/23 16+20/23 11+20/23 6+20/23 1+20/23 19+20/23 14+20/23 9+20/23 4+20/23 22+20/23 17+20/23 12+20/23 7+20/23 2+20/23 20+20/23 15+20/23 10+20/23 5+20/23
19.20/23 0+20/23 19+20/23 15+20/23 11+20/23 7+20/23 3+20/23 22+20/23 18+20/23 14+20/23 10+20/23 6+20/23 2+20/23 21+20/23 17+20/23 13+20/23 9+20/23 5+20/23 1+20/23 20+20/23 16+20/23 12+20/23 8+20/23 4+20/23
20.20/23 0+20/23 20+20/23 17+20/23 14+20/23 11+20/23 8+20/23 5+20/23 2+20/23 22+20/23 19+20/23 16+20/23 13+20/23 10+20/23 7+20/23 4+20/23 1+20/23 21+20/23 18+20/23 15+20/23 12+20/23 9+20/23 6+20/23 3+20/23
21.20/23 0+20/23 21+20/23 19+20/23 17+20/23 15+20/23 13+20/23 11+20/23 9+20/23 7+20/23 5+20/23 3+20/23 1+20/23 22+20/23 20+20/23 18+20/23 16+20/23 14+20/23 12+20/23 10+20/23 8+20/23 6+20/23 4+20/23 2+20/23
22.20/23 0+20/23 22+20/23 21+20/23 20+20/23 19+20/23 18+20/23 17+20/23 16+20/23 15+20/23 14+20/23 13+20/23 12+20/23 11+20/23 10+20/23 9+20/23 8+20/23 7+20/23 6+20/23 5+20/23 4+20/23 3+20/23 2+20/23 1+20/23

Covering Array Levels for l=2, m=20, r=526, n=24

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

Covering Array Formula for l=2, m=21, r=441, n=5

1H = 0+.g00 x+

Covering Array Vectors for l=2, m=21, r=441, n=5

0.0+0+0+0+
1.0+1+2+4+
2.0+2+4+3+
3.0+3+9+17+
4.0+4+3+9+
5.0+5+14+18+
6.0+6+19+10+
7.0+7+5+14+
8.0+8+15+20+
9.0+9+17+11+
10.0+10+7+5+
11.0+11+6+19+
12.0+12+1+2+
13.0+13+16+12+
14.0+14+18+8+
15.0+15+20+13+
16.0+16+12+1+
17.0+17+11+6+
18.0+18+8+15+
19.0+19+10+7+
20.0+20+13+16+

Covering Array Levels for l=2, m=21, r=441, n=5

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

Covering Array Formula for l=2, m=21, r=527, n=24

1H21/23 = 0+.21/230+x+21/23

Covering Array Vectors for l=2, m=21, r=527, n=24

0.'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23 0+'21/23
1.21/23 0+21/23 1+21/23 2+21/23 3+21/23 4+21/23 5+21/23 6+21/23 7+21/23 8+21/23 9+21/23 10+21/23 11+21/23 12+21/23 13+21/23 14+21/23 15+21/23 16+21/23 17+21/23 18+21/23 19+21/23 20+21/23 21+21/23 22+21/23
2.21/23 0+21/23 2+21/23 4+21/23 6+21/23 8+21/23 10+21/23 12+21/23 14+21/23 16+21/23 18+21/23 20+21/23 22+21/23 1+21/23 3+21/23 5+21/23 7+21/23 9+21/23 11+21/23 13+21/23 15+21/23 17+21/23 19+21/23 21+21/23
3.21/23 0+21/23 3+21/23 6+21/23 9+21/23 12+21/23 15+21/23 18+21/23 21+21/23 1+21/23 4+21/23 7+21/23 10+21/23 13+21/23 16+21/23 19+21/23 22+21/23 2+21/23 5+21/23 8+21/23 11+21/23 14+21/23 17+21/23 20+21/23
4.21/23 0+21/23 4+21/23 8+21/23 12+21/23 16+21/23 20+21/23 1+21/23 5+21/23 9+21/23 13+21/23 17+21/23 21+21/23 2+21/23 6+21/23 10+21/23 14+21/23 18+21/23 22+21/23 3+21/23 7+21/23 11+21/23 15+21/23 19+21/23
5.21/23 0+21/23 5+21/23 10+21/23 15+21/23 20+21/23 2+21/23 7+21/23 12+21/23 17+21/23 22+21/23 4+21/23 9+21/23 14+21/23 19+21/23 1+21/23 6+21/23 11+21/23 16+21/23 21+21/23 3+21/23 8+21/23 13+21/23 18+21/23
6.21/23 0+21/23 6+21/23 12+21/23 18+21/23 1+21/23 7+21/23 13+21/23 19+21/23 2+21/23 8+21/23 14+21/23 20+21/23 3+21/23 9+21/23 15+21/23 21+21/23 4+21/23 10+21/23 16+21/23 22+21/23 5+21/23 11+21/23 17+21/23
7.21/23 0+21/23 7+21/23 14+21/23 21+21/23 5+21/23 12+21/23 19+21/23 3+21/23 10+21/23 17+21/23 1+21/23 8+21/23 15+21/23 22+21/23 6+21/23 13+21/23 20+21/23 4+21/23 11+21/23 18+21/23 2+21/23 9+21/23 16+21/23
8.21/23 0+21/23 8+21/23 16+21/23 1+21/23 9+21/23 17+21/23 2+21/23 10+21/23 18+21/23 3+21/23 11+21/23 19+21/23 4+21/23 12+21/23 20+21/23 5+21/23 13+21/23 21+21/23 6+21/23 14+21/23 22+21/23 7+21/23 15+21/23
9.21/23 0+21/23 9+21/23 18+21/23 4+21/23 13+21/23 22+21/23 8+21/23 17+21/23 3+21/23 12+21/23 21+21/23 7+21/23 16+21/23 2+21/23 11+21/23 20+21/23 6+21/23 15+21/23 1+21/23 10+21/23 19+21/23 5+21/23 14+21/23
10.21/23 0+21/23 10+21/23 20+21/23 7+21/23 17+21/23 4+21/23 14+21/23 1+21/23 11+21/23 21+21/23 8+21/23 18+21/23 5+21/23 15+21/23 2+21/23 12+21/23 22+21/23 9+21/23 19+21/23 6+21/23 16+21/23 3+21/23 13+21/23
11.21/23 0+21/23 11+21/23 22+21/23 10+21/23 21+21/23 9+21/23 20+21/23 8+21/23 19+21/23 7+21/23 18+21/23 6+21/23 17+21/23 5+21/23 16+21/23 4+21/23 15+21/23 3+21/23 14+21/23 2+21/23 13+21/23 1+21/23 12+21/23
12.21/23 0+21/23 12+21/23 1+21/23 13+21/23 2+21/23 14+21/23 3+21/23 15+21/23 4+21/23 16+21/23 5+21/23 17+21/23 6+21/23 18+21/23 7+21/23 19+21/23 8+21/23 20+21/23 9+21/23 21+21/23 10+21/23 22+21/23 11+21/23
13.21/23 0+21/23 13+21/23 3+21/23 16+21/23 6+21/23 19+21/23 9+21/23 22+21/23 12+21/23 2+21/23 15+21/23 5+21/23 18+21/23 8+21/23 21+21/23 11+21/23 1+21/23 14+21/23 4+21/23 17+21/23 7+21/23 20+21/23 10+21/23
14.21/23 0+21/23 14+21/23 5+21/23 19+21/23 10+21/23 1+21/23 15+21/23 6+21/23 20+21/23 11+21/23 2+21/23 16+21/23 7+21/23 21+21/23 12+21/23 3+21/23 17+21/23 8+21/23 22+21/23 13+21/23 4+21/23 18+21/23 9+21/23
15.21/23 0+21/23 15+21/23 7+21/23 22+21/23 14+21/23 6+21/23 21+21/23 13+21/23 5+21/23 20+21/23 12+21/23 4+21/23 19+21/23 11+21/23 3+21/23 18+21/23 10+21/23 2+21/23 17+21/23 9+21/23 1+21/23 16+21/23 8+21/23
16.21/23 0+21/23 16+21/23 9+21/23 2+21/23 18+21/23 11+21/23 4+21/23 20+21/23 13+21/23 6+21/23 22+21/23 15+21/23 8+21/23 1+21/23 17+21/23 10+21/23 3+21/23 19+21/23 12+21/23 5+21/23 21+21/23 14+21/23 7+21/23
17.21/23 0+21/23 17+21/23 11+21/23 5+21/23 22+21/23 16+21/23 10+21/23 4+21/23 21+21/23 15+21/23 9+21/23 3+21/23 20+21/23 14+21/23 8+21/23 2+21/23 19+21/23 13+21/23 7+21/23 1+21/23 18+21/23 12+21/23 6+21/23
18.21/23 0+21/23 18+21/23 13+21/23 8+21/23 3+21/23 21+21/23 16+21/23 11+21/23 6+21/23 1+21/23 19+21/23 14+21/23 9+21/23 4+21/23 22+21/23 17+21/23 12+21/23 7+21/23 2+21/23 20+21/23 15+21/23 10+21/23 5+21/23
19.21/23 0+21/23 19+21/23 15+21/23 11+21/23 7+21/23 3+21/23 22+21/23 18+21/23 14+21/23 10+21/23 6+21/23 2+21/23 21+21/23 17+21/23 13+21/23 9+21/23 5+21/23 1+21/23 20+21/23 16+21/23 12+21/23 8+21/23 4+21/23
20.21/23 0+21/23 20+21/23 17+21/23 14+21/23 11+21/23 8+21/23 5+21/23 2+21/23 22+21/23 19+21/23 16+21/23 13+21/23 10+21/23 7+21/23 4+21/23 1+21/23 21+21/23 18+21/23 15+21/23 12+21/23 9+21/23 6+21/23 3+21/23
21.21/23 0+21/23 21+21/23 19+21/23 17+21/23 15+21/23 13+21/23 11+21/23 9+21/23 7+21/23 5+21/23 3+21/23 1+21/23 22+21/23 20+21/23 18+21/23 16+21/23 14+21/23 12+21/23 10+21/23 8+21/23 6+21/23 4+21/23 2+21/23
22.21/23 0+21/23 22+21/23 21+21/23 20+21/23 19+21/23 18+21/23 17+21/23 16+21/23 15+21/23 14+21/23 13+21/23 12+21/23 11+21/23 10+21/23 9+21/23 8+21/23 7+21/23 6+21/23 5+21/23 4+21/23 3+21/23 2+21/23 1+21/23

Covering Array Levels for l=2, m=21, r=527, n=24

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

Covering Array Formula for l=2, m=22, r=484, n=3

1H = 0+.0+x{2/}+

Covering Array Vectors for l=2, m=22, r=484, n=3

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

Covering Array Levels for l=2, m=22, r=484, n=3

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

Covering Array Formula for l=2, m=22, r=528, n=24

1H22/23 = 0+.22/230+x+22/23

Covering Array Vectors for l=2, m=22, r=528, n=24

0.'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23 0+'22/23
1.22/23 0+22/23 1+22/23 2+22/23 3+22/23 4+22/23 5+22/23 6+22/23 7+22/23 8+22/23 9+22/23 10+22/23 11+22/23 12+22/23 13+22/23 14+22/23 15+22/23 16+22/23 17+22/23 18+22/23 19+22/23 20+22/23 21+22/23 22+22/23
2.22/23 0+22/23 2+22/23 4+22/23 6+22/23 8+22/23 10+22/23 12+22/23 14+22/23 16+22/23 18+22/23 20+22/23 22+22/23 1+22/23 3+22/23 5+22/23 7+22/23 9+22/23 11+22/23 13+22/23 15+22/23 17+22/23 19+22/23 21+22/23
3.22/23 0+22/23 3+22/23 6+22/23 9+22/23 12+22/23 15+22/23 18+22/23 21+22/23 1+22/23 4+22/23 7+22/23 10+22/23 13+22/23 16+22/23 19+22/23 22+22/23 2+22/23 5+22/23 8+22/23 11+22/23 14+22/23 17+22/23 20+22/23
4.22/23 0+22/23 4+22/23 8+22/23 12+22/23 16+22/23 20+22/23 1+22/23 5+22/23 9+22/23 13+22/23 17+22/23 21+22/23 2+22/23 6+22/23 10+22/23 14+22/23 18+22/23 22+22/23 3+22/23 7+22/23 11+22/23 15+22/23 19+22/23
5.22/23 0+22/23 5+22/23 10+22/23 15+22/23 20+22/23 2+22/23 7+22/23 12+22/23 17+22/23 22+22/23 4+22/23 9+22/23 14+22/23 19+22/23 1+22/23 6+22/23 11+22/23 16+22/23 21+22/23 3+22/23 8+22/23 13+22/23 18+22/23
6.22/23 0+22/23 6+22/23 12+22/23 18+22/23 1+22/23 7+22/23 13+22/23 19+22/23 2+22/23 8+22/23 14+22/23 20+22/23 3+22/23 9+22/23 15+22/23 21+22/23 4+22/23 10+22/23 16+22/23 22+22/23 5+22/23 11+22/23 17+22/23
7.22/23 0+22/23 7+22/23 14+22/23 21+22/23 5+22/23 12+22/23 19+22/23 3+22/23 10+22/23 17+22/23 1+22/23 8+22/23 15+22/23 22+22/23 6+22/23 13+22/23 20+22/23 4+22/23 11+22/23 18+22/23 2+22/23 9+22/23 16+22/23
8.22/23 0+22/23 8+22/23 16+22/23 1+22/23 9+22/23 17+22/23 2+22/23 10+22/23 18+22/23 3+22/23 11+22/23 19+22/23 4+22/23 12+22/23 20+22/23 5+22/23 13+22/23 21+22/23 6+22/23 14+22/23 22+22/23 7+22/23 15+22/23
9.22/23 0+22/23 9+22/23 18+22/23 4+22/23 13+22/23 22+22/23 8+22/23 17+22/23 3+22/23 12+22/23 21+22/23 7+22/23 16+22/23 2+22/23 11+22/23 20+22/23 6+22/23 15+22/23 1+22/23 10+22/23 19+22/23 5+22/23 14+22/23
10.22/23 0+22/23 10+22/23 20+22/23 7+22/23 17+22/23 4+22/23 14+22/23 1+22/23 11+22/23 21+22/23 8+22/23 18+22/23 5+22/23 15+22/23 2+22/23 12+22/23 22+22/23 9+22/23 19+22/23 6+22/23 16+22/23 3+22/23 13+22/23
11.22/23 0+22/23 11+22/23 22+22/23 10+22/23 21+22/23 9+22/23 20+22/23 8+22/23 19+22/23 7+22/23 18+22/23 6+22/23 17+22/23 5+22/23 16+22/23 4+22/23 15+22/23 3+22/23 14+22/23 2+22/23 13+22/23 1+22/23 12+22/23
12.22/23 0+22/23 12+22/23 1+22/23 13+22/23 2+22/23 14+22/23 3+22/23 15+22/23 4+22/23 16+22/23 5+22/23 17+22/23 6+22/23 18+22/23 7+22/23 19+22/23 8+22/23 20+22/23 9+22/23 21+22/23 10+22/23 22+22/23 11+22/23
13.22/23 0+22/23 13+22/23 3+22/23 16+22/23 6+22/23 19+22/23 9+22/23 22+22/23 12+22/23 2+22/23 15+22/23 5+22/23 18+22/23 8+22/23 21+22/23 11+22/23 1+22/23 14+22/23 4+22/23 17+22/23 7+22/23 20+22/23 10+22/23
14.22/23 0+22/23 14+22/23 5+22/23 19+22/23 10+22/23 1+22/23 15+22/23 6+22/23 20+22/23 11+22/23 2+22/23 16+22/23 7+22/23 21+22/23 12+22/23 3+22/23 17+22/23 8+22/23 22+22/23 13+22/23 4+22/23 18+22/23 9+22/23
15.22/23 0+22/23 15+22/23 7+22/23 22+22/23 14+22/23 6+22/23 21+22/23 13+22/23 5+22/23 20+22/23 12+22/23 4+22/23 19+22/23 11+22/23 3+22/23 18+22/23 10+22/23 2+22/23 17+22/23 9+22/23 1+22/23 16+22/23 8+22/23
16.22/23 0+22/23 16+22/23 9+22/23 2+22/23 18+22/23 11+22/23 4+22/23 20+22/23 13+22/23 6+22/23 22+22/23 15+22/23 8+22/23 1+22/23 17+22/23 10+22/23 3+22/23 19+22/23 12+22/23 5+22/23 21+22/23 14+22/23 7+22/23
17.22/23 0+22/23 17+22/23 11+22/23 5+22/23 22+22/23 16+22/23 10+22/23 4+22/23 21+22/23 15+22/23 9+22/23 3+22/23 20+22/23 14+22/23 8+22/23 2+22/23 19+22/23 13+22/23 7+22/23 1+22/23 18+22/23 12+22/23 6+22/23
18.22/23 0+22/23 18+22/23 13+22/23 8+22/23 3+22/23 21+22/23 16+22/23 11+22/23 6+22/23 1+22/23 19+22/23 14+22/23 9+22/23 4+22/23 22+22/23 17+22/23 12+22/23 7+22/23 2+22/23 20+22/23 15+22/23 10+22/23 5+22/23
19.22/23 0+22/23 19+22/23 15+22/23 11+22/23 7+22/23 3+22/23 22+22/23 18+22/23 14+22/23 10+22/23 6+22/23 2+22/23 21+22/23 17+22/23 13+22/23 9+22/23 5+22/23 1+22/23 20+22/23 16+22/23 12+22/23 8+22/23 4+22/23
20.22/23 0+22/23 20+22/23 17+22/23 14+22/23 11+22/23 8+22/23 5+22/23 2+22/23 22+22/23 19+22/23 16+22/23 13+22/23 10+22/23 7+22/23 4+22/23 1+22/23 21+22/23 18+22/23 15+22/23 12+22/23 9+22/23 6+22/23 3+22/23
21.22/23 0+22/23 21+22/23 19+22/23 17+22/23 15+22/23 13+22/23 11+22/23 9+22/23 7+22/23 5+22/23 3+22/23 1+22/23 22+22/23 20+22/23 18+22/23 16+22/23 14+22/23 12+22/23 10+22/23 8+22/23 6+22/23 4+22/23 2+22/23
22.22/23 0+22/23 22+22/23 21+22/23 20+22/23 19+22/23 18+22/23 17+22/23 16+22/23 15+22/23 14+22/23 13+22/23 12+22/23 11+22/23 10+22/23 9+22/23 8+22/23 7+22/23 6+22/23 5+22/23 4+22/23 3+22/23 2+22/23 1+22/23

Covering Array Levels for l=2, m=22, r=528, n=24

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
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		 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		 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		 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		 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		 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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 21
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
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 20
21
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
21		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 21
21
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
21
21
0		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 19
20
21
21
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
19
20
21
21
0		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7
7		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 17
18
19
20
21
21
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
17
18
19
20
21
21
0		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 15
16
17
18
19
20
21
21
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
15
16
17
18
19
20
21
21
0		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 14
15
16
17
18
19
20
21
21
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
14
15
16
17
18
19
20
21
21
0		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11
11		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 13
14
15
16
17
18
19
20
21
21
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
13
14
15
16
17
18
19
20
21
21
0		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
14		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
17
17
17
17
17
17
17
17
17
17
17
17
17
17
17
17
17
17
17
17
17
17
17		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
19
19
19
19
19
19
19
19
19
19
19
19
19
19
19
19
19
19
19
19
19
19
19		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21
21		 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21		 21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21		 21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20		 20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19		 19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18		 18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17		 17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16		 16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15		 15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14		 14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12
13		 13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11
12		 12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10
11		 11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9
10		 10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8
9		 9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7
8		 8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6
7		 7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5
6		 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4
5		 5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3
4		 4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2
3		 3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1
2		 2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
21
0
1		 1
2
3
4
5
6
7
8
9
10
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Copyright © 2002 George Sherwood
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