Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 8 11 12 11 10 9 9 9 9 9 9 9 10 10 10 9 9 10 11 13 13 13 13 13 12 11 11 11 11 10 9 9 8 7 6 6 6 7 7 8 10 11 13 14 16 17 19 19 19 18 16 14 11 9 8 7 6 6 5 5 6 6 7 7 7 6 5 3 1 1 3 8 16 23 27 28 28 30 29 26 24 21 16 14 15 15 15 14 14 13 12 11 11 11 12 12 12 12 12 12 11 12 13 13 13 12 12 11 10 nan
nan 8 9 10 11 12 11 10 9 8 9 10 10 10 10 10 10 10 10 10 12 13 13 12 12 12 12 12 12 12 11 10 9 9 9 8 6 6 6 5 6 6 7 9 11 12 13 15 17 19 20 21 20 18 14 12 10 8 7 7 7 7 6 6 7 7 7 7 6 5 4 2 1 2 8 17 22 24 24 25 26 25 25 26 22 17 15 14 13 13 14 14 12 11 10 9 9 9 10 10 11 11 11 11 11 12 13 14 14 13 11 10 nan
nan 11 10 10 10 11 11 10 8 8 9 10 10 10 10 10 10 10 11 12 14 14 13 12 11 12 12 13 12 12 11 10 9 9 8 7 6 6 6 5 5 6 7 9 11 12 14 15 17 19 21 22 21 18 15 12 10 8 8 7 7 7 7 7 7 8 8 8 7 6 4 3 1 3 9 15 20 24 24 23 21 20 22 24 22 20 18 15 13 12 13 13 13 11 10 9 8 8 7 7 8 9 10 10 11 11 12 13 14 13 12 11 nan
nan 10 10 9 9 10 11 10 9 9 10 11 11 11 10 10 10 11 12 14 16 15 14 12 11 12 12 13 13 12 11 11 10 9 8 6 5 5 4 4 5 7 9 10 12 13 14 16 17 19 20 22 22 19 17 14 11 9 8 8 7 7 6 6 7 7 8 7 7 6 5 4 2 4 9 14 20 25 25 22 18 15 18 20 21 22 23 19 15 14 13 13 13 12 11 10 9 8 6 5 6 6 8 9 10 11 11 12 13 13 12 12 nan
nan 9 9 9 10 10 11 11 11 12 12 12 11 10 10 10 10 11 13 15 16 14 12 12 12 13 13 13 13 13 13 11 10 9 8 6 5 3 3 4 8 10 11 12 13 14 15 16 17 18 21 23 23 21 19 16 12 10 9 8 8 6 6 6 6 7 7 7 7 6 6 4 4 5 8 13 21 26 25 22 17 15 15 15 18 22 23 22 20 18 15 13 13 13 12 12 11 10 8 6 4 4 5 6 8 10 12 13 14 13 12 11 nan
nan 9 9 9 10 11 11 11 12 13 13 12 10 9 10 11 11 13 14 14 14 12 11 12 13 14 13 13 14 14 13 11 10 10 8 6 3 2 3 8 11 13 14 14 14 15 15 16 17 18 21 24 25 25 22 17 14 12 10 9 8 7 6 5 5 6 7 7 7 6 6 5 5 5 7 14 22 25 26 24 19 16 13 12 14 18 21 23 23 21 17 15 14 14 13 14 14 13 11 9 7 5 5 4 5 8 12 14 15 15 13 11 nan
nan 10 9 9 9 10 10 11 11 11 10 9 9 10 11 12 12 13 14 13 12 11 11 12 13 14 14 13 13 13 12 11 11 10 8 6 4 4 8 12 15 16 16 16 15 15 16 16 17 18 21 24 28 29 25 20 17 14 12 11 10 8 7 5 5 6 7 7 7 6 5 5 5 5 8 15 21 25 27 24 20 16 14 11 11 14 16 20 22 21 18 17 15 14 13 14 14 15 15 13 12 11 9 7 6 7 9 12 16 17 15 13 nan
nan 10 9 9 9 10 10 10 10 9 8 7 9 11 12 12 13 13 13 12 11 11 10 11 13 14 13 12 12 12 12 12 11 10 9 8 8 10 13 16 18 19 18 17 17 17 18 18 18 18 21 24 30 31 28 24 20 16 14 13 11 9 7 5 4 5 5 6 6 6 5 5 5 5 8 14 20 25 27 24 21 18 15 12 11 10 11 15 18 18 18 17 15 13 12 12 12 13 14 14 15 16 16 14 11 9 8 10 14 17 16 15 nan
nan 9 9 9 10 10 10 10 9 7 6 7 10 12 13 12 11 12 11 11 11 10 10 11 13 14 13 12 12 12 12 11 10 10 9 10 11 13 15 16 17 17 17 17 18 19 21 20 19 18 19 23 29 30 29 26 22 18 16 14 12 9 7 5 4 4 5 5 5 5 5 5 5 5 8 13 20 26 28 25 22 19 16 14 11 9 8 11 13 14 15 15 12 10 9 9 9 9 10 12 14 17 20 20 19 15 11 10 12 13 14 14 nan
nan 8 8 8 9 10 10 9 8 6 5 8 12 13 12 11 10 10 10 10 10 10 11 12 13 13 12 12 13 13 11 10 9 9 9 10 11 11 11 11 11 12 13 14 16 18 19 19 17 15 15 19 25 28 29 26 22 19 17 14 11 9 6 5 4 4 4 5 5 6 6 5 5 6 8 13 22 27 28 26 22 19 17 16 13 10 8 9 9 10 11 11 9 8 7 6 6 6 6 7 10 14 18 22 24 22 18 14 12 11 11 12 nan
nan 8 8 8 9 10 10 10 8 5 6 10 13 13 12 10 10 10 10 9 9 10 11 11 12 11 11 11 12 11 10 9 8 9 9 10 10 10 8 7 7 7 9 10 11 12 13 12 10 8 10 16 22 27 27 24 21 18 16 13 11 8 7 5 4 3 4 5 5 6 7 6 6 6 9 16 23 27 29 26 22 20 19 19 16 12 9 8 7 8 8 8 7 7 6 5 4 4 4 4 6 9 13 19 24 26 24 20 15 11 10 10 nan
nan 9 9 9 9 10 10 10 8 7 8 10 12 12 11 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 8 7 7 7 8 9 9 10 10 9 7 8 12 17 22 24 23 20 18 15 13 11 9 8 6 4 3 2 3 5 6 7 8 8 8 8 12 18 23 28 29 26 22 21 21 22 20 16 12 9 7 8 7 7 7 8 6 5 5 4 3 3 4 6 9 14 20 24 25 24 19 14 11 9 nan
nan 9 9 9 9 9 9 9 9 8 9 10 11 11 10 10 10 10 10 9 9 10 10 10 9 9 8 8 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 10 11 13 13 13 13 17 22 26 26 23 20 18 15 13 10 8 7 6 4 3 2 2 4 7 9 10 10 10 10 11 14 18 24 28 29 26 23 22 23 25 24 21 16 12 9 8 8 8 9 9 8 7 6 5 4 3 3 4 6 9 14 19 23 23 20 17 13 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 8 9 10 11 11 11 11 11 11 11 11 10 10 11 13 15 17 18 20 25 30 34 33 30 26 22 18 14 10 8 7 5 3 2 2 4 8 12 14 14 13 12 12 13 16 20 25 29 29 26 23 21 24 27 28 25 20 15 12 10 10 10 10 10 9 9 8 7 5 4 3 4 5 6 9 14 18 20 20 18 15 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 9 11 12 13 13 12 11 10 10 9 10 10 11 13 15 16 17 19 22 27 31 33 33 30 27 22 19 16 13 11 9 6 5 6 9 12 15 16 16 14 12 13 14 17 22 27 28 27 24 21 20 23 27 30 29 24 19 15 12 10 10 10 9 9 9 9 8 7 6 5 5 5 5 7 10 13 16 17 18 16 15 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 11 12 13 14 14 13 11 9 9 9 9 10 11 11 12 13 13 13 14 17 20 24 26 26 25 22 21 21 19 17 15 14 12 12 11 10 11 12 14 14 15 16 18 21 25 27 27 26 22 19 18 21 26 30 30 26 22 16 12 10 9 8 8 8 8 8 9 8 8 7 6 6 6 6 8 10 12 14 15 16 15 nan
nan 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 14 12 11 9 9 8 9 10 10 11 11 10 10 10 10 11 14 17 19 20 19 19 18 19 20 20 19 18 18 16 12 9 8 10 13 16 19 21 23 25 27 28 27 24 21 17 16 18 22 26 28 26 22 17 13 10 8 6 5 5 6 6 7 8 8 8 8 7 7 7 8 8 10 11 12 14 14 nan
nan 9 9 9 8 7 6 5 5 6 6 6 6 7 9 9 9 8 8 9 10 10 10 9 9 9 9 10 10 10 11 11 12 12 12 13 12 11 10 8 8 9 10 10 10 9 8 8 9 10 11 13 15 16 17 17 16 15 15 16 17 17 17 17 17 15 12 11 11 13 15 18 21 24 27 28 28 26 23 20 17 15 15 18 21 23 24 22 18 14 11 8 6 5 4 4 4 5 6 7 7 7 7 7 8 8 9 9 9 10 12 13 nan
nan 9 8 7 6 5 4 4 5 6 6 6 7 9 10 10 9 8 9 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 8 7 7 9 10 10 10 9 8 8 9 10 11 13 14 15 17 17 16 15 14 14 14 13 14 15 15 15 14 12 12 11 10 11 14 19 24 26 27 25 22 19 17 14 14 15 17 19 20 20 18 16 13 11 9 7 5 4 4 4 4 5 5 6 6 6 7 8 9 9 9 10 11 12 nan
nan 8 6 4 3 3 4 5 6 6 7 8 10 11 11 9 7 8 9 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 7 4 5 6 9 10 10 10 9 9 9 9 10 11 13 14 15 16 16 16 16 15 14 13 12 12 13 13 13 13 12 10 9 7 6 10 15 21 24 26 24 22 19 17 14 13 13 14 16 17 18 18 17 16 14 13 11 9 8 6 5 5 4 4 4 4 4 5 6 8 9 9 9 10 11 nan
nan 6 4 3 4 5 6 7 7 8 9 11 12 12 10 7 7 8 9 9 9 9 9 9 9 10 9 8 8 9 9 10 11 11 10 9 7 3 2 3 6 9 10 10 10 10 10 9 9 10 12 13 14 14 15 15 15 15 14 13 13 12 11 11 11 11 11 10 10 9 7 7 9 14 19 23 25 24 22 19 17 14 13 12 13 14 15 16 17 17 17 17 16 16 14 13 11 9 7 6 6 5 4 3 3 4 6 7 8 9 9 10 nan
nan 5 6 7 8 9 9 9 9 10 11 11 11 10 8 7 7 8 9 9 9 8 8 9 9 9 7 7 7 7 8 9 10 9 8 6 4 2 2 3 5 8 10 10 10 11 10 9 9 11 12 13 13 13 14 14 14 14 13 12 12 11 11 10 10 9 9 8 8 8 8 8 10 13 18 22 24 24 22 20 17 15 13 12 12 12 13 15 16 17 18 18 19 19 19 18 16 14 11 10 9 8 6 5 4 4 4 6 7 7 8 9 nan
nan 8 9 10 11 9 8 8 10 11 10 9 9 9 8 7 7 8 9 9 8 7 7 8 8 7 5 5 5 7 8 8 8 7 6 4 2 1 2 3 5 8 9 11 11 12 11 10 10 12 12 13 13 13 13 14 13 12 12 12 11 10 10 9 8 7 6 6 7 7 7 7 9 11 16 20 23 24 23 21 18 15 13 12 11 11 12 13 14 15 17 18 19 20 20 20 19 17 15 14 13 12 11 9 7 6 5 6 6 7 8 9 nan
nan 9 9 9 7 5 5 7 8 8 7 6 7 8 8 7 7 8 8 8 7 7 8 8 7 6 6 6 8 9 9 9 8 7 6 4 2 2 2 3 5 8 10 11 12 12 11 11 11 12 12 12 12 12 13 13 13 12 12 11 10 10 9 8 6 6 6 7 8 9 8 8 8 10 14 18 22 25 25 22 19 16 13 11 10 10 10 12 13 14 15 16 17 18 19 19 18 18 17 16 16 16 16 14 12 10 9 8 8 9 10 10 nan
nan 6 6 5 4 5 6 7 8 7 5 5 6 7 7 7 6 6 7 8 9 10 11 9 8 8 8 10 11 11 11 10 9 7 5 4 3 3 3 4 7 10 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 9 7 7 8 9 9 10 10 10 9 8 9 12 16 21 25 26 24 21 17 13 11 9 9 9 10 11 11 12 14 15 16 16 17 17 16 16 16 17 17 18 17 17 15 13 12 11 12 12 13 nan
nan 6 6 6 7 9 11 11 9 7 6 6 7 7 7 7 6 6 7 10 12 12 11 8 7 8 9 10 10 10 10 9 7 5 4 4 4 5 6 7 9 11 12 12 13 12 12 12 11 11 11 10 11 12 12 12 12 12 12 11 10 9 9 8 9 10 10 10 11 11 10 10 9 10 12 15 20 25 27 26 24 19 15 11 9 8 8 8 9 9 10 11 12 13 13 13 13 13 13 14 14 16 17 18 18 18 17 15 14 13 13 14 nan
nan 7 8 9 11 12 12 10 8 7 7 8 8 9 9 9 8 8 10 12 12 10 7 5 6 7 8 8 9 9 7 5 4 4 5 6 8 9 9 10 11 12 12 12 13 12 13 12 11 10 10 9 11 12 12 12 12 12 11 11 10 10 9 10 10 10 9 10 10 11 11 11 10 10 11 14 19 24 27 28 26 22 17 13 10 8 7 7 7 8 9 9 10 10 10 10 11 11 11 11 11 12 13 15 17 17 17 15 14 13 12 13 nan
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nan 9 9 9 9 8 6 5 6 7 8 10 10 11 11 11 10 10 9 8 6 5 5 7 8 8 9 9 8 7 7 8 10 12 13 13 13 13 14 15 15 14 13 12 11 11 10 9 8 8 8 9 10 11 11 11 10 9 9 10 10 10 11 11 10 8 8 8 10 12 13 12 12 11 10 12 14 19 24 28 28 27 24 20 15 12 9 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 10 11 11 11 9 8 7 nan
nan 9 10 10 10 9 7 7 8 9 10 10 11 11 12 11 11 11 11 10 9 8 9 9 9 9 10 10 10 11 12 14 15 16 16 15 14 14 15 16 16 15 14 12 11 10 9 8 8 7 8 8 9 10 10 10 9 8 9 10 10 10 11 11 10 10 10 9 9 11 12 13 13 11 10 10 12 16 21 25 27 28 27 23 20 16 13 10 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 7 7 8 9 10 10 9 8 7 nan
nan 10 10 10 9 8 6 6 7 8 9 10 10 11 12 12 12 12 13 13 12 12 11 11 11 11 12 13 14 15 16 17 17 17 16 15 15 14 14 16 17 16 13 11 9 8 8 8 7 7 7 8 9 10 10 10 9 9 9 10 11 12 12 11 11 12 10 9 9 10 12 13 13 12 10 10 10 13 18 21 25 28 28 27 25 21 17 13 10 9 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 9 9 8 nan
nan 8 7 5 3 1 0 1 2 3 4 5 6 8 10 12 13 14 14 13 13 13 14 13 14 14 15 16 16 16 15 14 14 13 13 13 12 12 13 15 16 15 12 10 9 7 7 7 7 7 7 8 9 10 10 9 9 9 10 10 11 12 12 12 12 11 10 9 9 10 11 13 13 13 11 10 10 11 13 18 23 26 27 28 27 25 21 18 14 11 8 7 6 6 6 5 6 6 5 5 5 6 6 7 7 7 7 8 8 9 9 9 nan
nan 2 1 -1 -2 -2 -2 -1 -0 -1 -1 -1 1 4 6 8 10 12 12 12 13 13 14 14 14 15 15 15 14 13 12 11 11 11 10 10 10 11 11 13 14 14 12 10 8 7 7 7 7 7 8 8 9 9 9 9 9 9 10 11 12 13 13 12 12 11 10 10 9 9 11 13 13 14 13 11 10 10 11 15 19 22 25 28 29 27 25 22 18 14 11 8 7 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 nan
nan 1 -0 -0 1 2 3 5 4 4 3 2 3 3 4 4 4 6 8 11 12 12 12 12 12 12 13 13 12 11 11 10 10 10 10 10 9 9 10 10 11 12 12 10 9 8 8 8 8 8 8 8 9 9 9 10 10 10 11 12 13 13 13 12 12 11 10 10 9 8 10 12 14 15 13 12 11 10 11 13 15 19 23 27 28 29 28 25 21 17 14 10 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 5 nan
nan 6 6 7 8 9 10 10 10 10 10 10 9 8 6 4 4 6 10 12 12 11 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 8 8 9 10 11 11 11 11 10 9 9 9 8 8 8 9 9 10 11 11 12 13 13 14 14 13 12 12 11 10 9 8 8 10 12 14 15 14 13 12 10 11 12 13 16 21 24 27 28 29 27 23 20 16 12 9 7 6 5 5 5 5 5 5 4 4 4 5 6 6 4 1 -0 -1 0 nan
nan 12 12 12 12 12 12 13 13 14 14 14 13 12 10 9 10 12 13 13 11 10 10 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 9 10 11 13 13 13 13 12 12 11 10 9 9 9 10 11 12 12 13 13 14 15 15 15 14 13 11 10 10 9 9 9 11 13 14 13 12 12 11 10 11 11 12 14 18 21 25 28 29 27 25 22 18 15 12 9 7 6 5 5 5 5 5 5 4 4 4 3 1 -1 -3 -3 -2 0 nan
nan 15 14 14 13 14 15 16 17 17 17 15 14 14 13 13 14 14 13 11 9 9 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 10 11 13 15 16 16 16 15 14 13 12 11 10 10 10 11 12 13 13 13 14 15 16 17 16 14 13 11 10 9 9 10 10 12 13 13 11 10 9 8 8 9 10 11 13 15 19 23 27 28 28 26 23 20 17 14 11 9 7 6 6 5 5 5 5 5 4 2 -1 -4 -5 -4 -2 1 4 nan
nan 17 16 16 17 18 19 20 20 20 18 15 14 14 14 14 15 14 13 11 9 8 8 9 10 11 11 11 11 10 10 10 10 9 9 9 10 12 15 16 17 17 17 17 17 16 15 13 11 10 10 11 12 13 13 13 13 14 16 17 17 16 14 13 11 10 10 10 11 12 13 13 12 10 8 6 5 4 5 7 9 12 14 18 22 25 27 28 27 24 21 19 16 13 11 9 8 6 5 5 5 5 5 3 -1 -5 -7 -5 -2 2 6 8 nan
nan 17 17 18 20 21 22 21 21 19 16 14 13 14 14 15 17 18 17 14 12 10 10 11 12 12 12 11 10 10 10 10 10 9 10 10 11 13 14 14 14 13 12 14 16 17 16 13 11 9 10 11 11 12 12 12 13 14 15 16 16 15 13 12 10 10 11 11 12 13 13 13 12 10 8 6 5 3 3 5 7 10 13 16 19 22 26 28 28 26 23 20 17 15 13 11 9 7 6 5 5 5 5 2 -3 -7 -6 -3 1 5 7 9 nan
nan 14 15 17 18 18 18 17 17 15 13 13 14 16 18 20 22 22 20 17 14 13 12 12 12 11 11 11 10 10 10 10 9 10 10 11 12 12 10 8 5 3 4 7 11 14 15 13 11 9 9 10 11 11 11 12 13 14 14 15 14 14 12 10 10 10 11 11 12 12 12 12 12 11 10 9 7 6 5 5 6 8 11 13 15 18 23 26 28 28 26 22 19 17 15 13 11 10 8 6 4 4 4 1 -4 -7 -6 -2 2 5 6 8 nan
nan 12 13 14 14 13 13 14 14 13 13 14 16 19 21 23 24 22 19 16 15 14 12 11 10 10 11 11 10 10 10 10 10 10 10 10 10 9 6 2 -3 -6 -4 0 6 11 12 12 11 10 10 10 10 10 11 12 12 12 13 13 13 12 11 9 9 9 10 11 11 11 11 11 12 11 11 10 10 8 7 6 6 6 7 8 10 13 17 21 25 29 29 26 22 19 16 15 14 13 10 7 5 4 4 -0 -5 -7 -6 -2 2 4 5 6 nan
nan 12 13 14 13 13 13 14 13 13 14 15 16 19 20 20 20 17 15 14 14 13 12 11 10 9 10 10 10 10 10 10 10 10 10 9 9 7 4 0 -4 -6 -5 -1 4 9 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 11 9 8 8 8 9 10 11 10 10 11 11 11 12 11 11 10 9 7 6 6 6 6 7 9 12 16 23 28 30 29 26 22 19 18 17 15 12 9 7 6 3 0 -3 -6 -6 -2 1 3 4 5 nan
nan 14 14 14 14 14 14 14 14 13 14 14 15 16 17 17 16 14 14 13 12 12 11 10 9 8 8 9 9 10 10 10 10 10 10 10 9 8 5 2 -0 -1 -1 2 6 9 11 12 11 10 10 10 10 10 11 12 13 14 13 13 12 11 9 8 8 9 10 10 10 10 10 10 11 11 12 12 12 11 10 9 8 7 7 7 8 9 10 14 19 24 28 30 30 27 24 22 19 17 15 13 10 7 5 3 -1 -4 -5 -3 -0 2 4 5 nan
nan 14 14 13 13 13 13 13 13 13 13 13 14 14 15 14 14 13 12 12 11 11 11 10 10 9 8 9 9 10 10 10 10 10 10 10 9 9 8 6 5 4 4 6 8 10 11 12 11 10 10 10 9 10 11 12 13 14 14 13 12 11 10 9 10 10 11 11 11 10 10 10 11 12 12 12 12 11 10 10 9 8 9 9 9 9 10 12 15 18 23 27 29 29 28 26 23 20 18 16 12 10 8 6 2 -2 -4 -4 -2 1 4 5 nan
nan 12 12 12 12 12 12 12 12 11 11 12 12 13 13 13 12 12 11 11 11 11 12 12 12 11 10 10 10 10 11 10 10 9 9 9 8 8 8 8 7 5 5 6 7 9 10 10 10 10 10 10 9 9 10 11 12 13 13 13 13 12 11 11 12 12 12 12 11 11 11 11 12 12 12 13 12 11 11 10 10 10 10 10 10 10 10 10 12 14 19 23 26 28 28 27 25 23 21 18 14 12 9 6 3 1 -1 -2 -2 1 3 5 nan
nan 11 11 11 11 11 11 11 10 10 10 11 11 12 12 11 11 10 10 11 12 12 13 13 13 12 12 11 11 11 11 10 9 8 7 6 6 6 6 6 5 3 3 3 4 6 8 9 10 10 10 9 8 8 8 9 10 11 11 12 12 12 12 12 13 13 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 13 16 19 23 26 27 26 25 25 24 22 19 15 9 6 4 3 2 1 1 2 4 6 nan
nan 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 11 12 12 12 11 11 11 11 11 10 10 9 8 8 7 6 5 4 4 3 3 1 0 1 1 2 4 6 7 8 9 8 7 7 6 7 8 9 9 9 10 10 11 13 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 12 13 16 20 23 24 25 25 27 28 28 25 19 11 8 6 6 6 5 5 6 8 8 nan
nan 12 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 10 9 9 10 9 9 8 7 7 7 8 8 8 7 6 4 2 1 0 0 1 2 4 5 6 8 8 8 7 6 5 5 6 7 7 7 8 8 10 12 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 14 17 20 21 24 26 29 30 30 26 19 14 10 8 8 9 10 10 11 11 11 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 9 8 5 4 3 3 3 4 5 6 7 8 8 8 7 6 6 5 5 6 6 6 7 7 8 10 12 13 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 11 10 12 14 15 16 19 23 26 28 28 25 20 15 11 9 8 8 10 11 11 12 12 13 nan
nan 11 11 10 10 10 10 10 11 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 10 10 9 9 10 10 10 10 10 10 9 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 7 7 8 9 10 10 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 11 10 11 11 11 12 13 13 14 17 20 22 23 22 19 15 12 10 7 6 6 6 6 6 7 10 14 nan
nan 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 8 9 10 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 7 7 8 8 8 8 7 7 7 8 9 9 9 8 8 7 7 7 7 8 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 12 12 12 11 11 11 11 12 12 12 14 15 17 18 19 19 17 16 13 10 8 7 6 4 3 2 3 5 10 nan
nan 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 9 11 13 15 15 15 16 16 15 15 15 15 15 15 14 13 13 13 13 13 13 12 12 12 13 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 5 5 5 7 8 9 10 10 10 10 10 10 9 9 9 8 9 10 10 11 12 13 13 13 12 11 11 11 12 12 13 13 13 15 16 17 17 17 14 12 10 9 8 6 5 4 4 4 6 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 14 15 16 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 14 13 13 13 13 13 13 12 12 11 10 8 7 7 6 7 8 8 9 10 10 9 9 8 7 6 5 5 5 7 8 10 10 11 11 11 11 10 9 9 8 8 8 9 10 12 13 13 13 13 12 12 12 11 12 12 12 12 12 13 14 14 15 15 14 13 13 11 10 10 9 8 7 6 6 nan
nan 11 11 11 11 11 11 11 11 11 11 12 13 14 15 15 16 15 15 14 14 14 14 14 15 16 16 17 17 18 18 19 19 19 19 19 18 17 15 14 13 13 13 13 13 12 12 11 9 8 7 6 6 8 8 9 10 10 10 10 9 8 7 6 5 6 7 9 10 11 11 11 11 11 11 10 10 9 8 9 9 10 12 13 13 13 13 12 12 12 12 12 11 11 11 11 12 11 12 14 15 15 15 14 14 13 12 11 10 10 9 8 nan
nan 10 11 11 11 12 12 12 12 12 13 14 15 15 15 15 14 13 13 12 12 12 12 12 13 14 15 16 16 17 17 18 18 18 18 18 19 19 18 17 16 15 14 14 13 13 12 12 11 10 9 8 8 8 8 8 8 9 9 10 10 9 8 7 6 7 8 9 11 11 11 11 11 11 11 11 11 10 10 9 9 10 11 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 13 14 15 15 15 15 14 13 12 11 11 10 10 nan
nan 10 11 11 12 12 12 12 12 13 14 14 15 14 13 12 12 12 12 12 12 12 12 11 12 12 13 14 15 15 15 14 14 14 14 15 16 17 19 20 19 18 17 15 14 13 13 12 12 11 11 10 10 10 9 8 8 8 9 10 10 10 9 8 7 7 8 10 11 11 11 11 11 11 12 12 11 11 10 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 10 11 12 12 13 15 15 15 15 14 13 12 12 11 11 10 nan
nan 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 12 11 11 11 12 12 14 17 19 20 20 19 17 16 14 13 12 12 11 11 11 11 10 9 8 8 8 9 10 10 10 10 8 8 8 10 11 12 12 11 11 11 11 12 12 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 14 15 14 14 14 14 13 13 12 12 12 12 nan
nan 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 11 12 15 17 19 21 20 19 18 16 15 14 12 12 11 11 11 10 9 9 9 9 10 9 9 9 9 8 8 9 11 12 12 12 12 12 12 11 12 12 11 11 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 12 11 10 10 11 11 12 13 13 13 13 14 13 13 13 13 13 13 13 nan
nan 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 10 10 11 12 14 16 19 21 21 21 21 19 17 15 14 13 12 11 10 10 10 9 9 9 9 8 8 7 6 6 7 10 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 10 10 10 11 12 12 12 12 11 10 10 10 10 11 12 12 12 13 13 13 13 13 14 14 14 14 nan
nan 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 12 12 11 12 12 13 13 13 13 12 11 11 11 11 11 11 12 13 16 18 20 21 22 22 22 20 17 16 14 13 11 9 9 9 9 9 9 9 8 6 4 3 4 7 11 12 12 12 11 12 12 12 13 13 13 13 14 13 13 12 11 11 11 11 11 11 11 10 11 11 12 12 12 10 9 9 9 9 10 11 12 12 13 12 13 13 13 14 14 14 14 nan
nan 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 12 12 13 15 17 18 19 20 21 21 19 18 17 16 14 12 9 8 7 7 9 9 9 7 5 4 3 5 9 11 12 12 11 11 11 12 12 13 13 14 14 13 13 12 11 11 11 11 11 11 11 11 10 11 11 11 11 10 9 9 8 9 9 10 11 11 12 12 12 12 13 13 14 14 15 14 nan
nan 11 11 11 11 11 11 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 13 14 15 16 17 18 18 18 17 17 18 18 16 14 11 8 6 7 7 8 8 8 7 7 7 8 10 11 12 12 11 10 11 11 12 13 13 14 13 13 12 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 10 10 10 11 10 11 12 12 12 13 14 14 15 14 nan
nan 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 16 16 16 16 15 15 16 17 17 17 15 13 11 9 8 7 8 8 8 9 9 10 10 11 12 14 13 12 11 11 11 12 13 13 14 13 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 9 10 9 9 9 10 9 10 10 10 10 10 11 11 11 13 14 14 15 14 nan
nan 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 14 15 16 16 16 15 15 15 16 15 15 15 14 13 12 11 10 10 11 11 11 11 11 12 13 15 16 15 13 12 11 11 12 13 14 14 14 13 11 11 10 10 10 10 10 11 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 11 12 13 14 14 15 15 nan
nan 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 15 15 15 15 15 14 14 13 13 14 14 14 13 13 13 14 14 14 13 13 12 13 15 16 16 15 13 12 12 12 13 15 15 15 14 12 11 10 9 10 10 10 10 10 10 10 11 12 13 13 12 11 10 9 8 8 9 9 9 9 10 10 11 12 13 13 14 15 16 nan
nan 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 15 15 15 15 14 14 15 14 14 13 12 12 13 13 14 14 14 14 15 15 16 15 13 11 11 12 13 15 17 16 16 14 13 13 14 15 15 14 13 12 10 10 10 10 10 10 10 10 10 10 11 13 13 12 11 10 9 8 9 9 8 9 9 9 10 11 12 12 13 14 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
6 4 3 4 4 5 6 6 5 4 3 4 5 4 4 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 4 14 26 37 44 47 44 42 43 45 47 43 44 49 51 45 33 24 21 21 21 20 16 13 11 10 10 7 4 2 1 3 7 12 16 17 18 16 17 14 14 23 48 122 145 143 131 118 129 153 188 228 271 315 390 476 555 621 668 742 803 855 912 972 1030 1065 1073 1055 1034 1013 966 904 846 817
6 5 4 5 5 6 6 5 5 4 4 4 5 5 5 4 4 2 2 2 1 1 2 1 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 1 8 19 29 37 39 39 39 41 44 47 43 43 48 51 47 35 26 23 22 21 19 16 13 12 11 11 8 5 2 1 1 5 10 14 16 17 14 14 14 13 8 21 69 111 134 138 114 117 137 171 210 254 306 379 467 555 629 676 722 766 807 843 905 963 1017 1057 1032 992 942 885 836 788 770
9 7 6 6 6 6 5 5 5 5 5 5 5 5 6 5 3 2 2 1 1 1 1 2 2 2 2 1 2 2 2 0 0 0 0 0 0 0 0 0 3 9 16 23 27 30 32 34 39 43 43 45 51 54 48 38 28 22 22 21 19 16 14 15 13 13 12 9 4 1 0 3 7 10 14 13 12 11 12 15 9 9 27 60 107 128 124 124 136 166 196 234 282 340 407 493 564 627 689 740 779 813 853 896 941 980 968 917 844 769 734 718 717
10 9 8 7 6 5 5 5 6 5 5 6 5 4 3 5 4 2 1 1 1 1 1 1 2 2 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 1 4 8 12 17 21 25 33 40 45 50 55 56 49 37 27 23 23 23 21 18 16 19 17 17 17 11 3 1 1 2 4 7 10 11 10 7 7 12 10 6 5 11 56 90 113 130 134 157 183 214 249 291 345 404 457 517 601 666 721 773 819 850 881 891 873 825 756 673 623 618 645
10 9 8 7 5 4 5 5 6 5 5 5 5 4 3 4 3 2 1 1 1 1 1 1 3 2 2 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 14 21 30 39 47 55 59 56 47 37 29 24 21 21 22 23 19 21 22 23 22 11 4 1 1 1 3 7 10 11 9 6 6 8 9 8 2 1 21 48 80 122 129 146 167 189 213 255 300 334 361 398 476 549 626 705 781 830 855 848 812 759 697 630 558 518 556
8 7 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 2 2 2 2 2 2 1 2 1 1 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 21 29 38 49 59 63 59 50 40 31 23 18 16 17 20 22 23 25 26 19 9 4 1 0 1 5 8 9 10 10 6 5 4 7 12 6 4 7 17 34 78 105 125 141 158 185 221 255 279 287 317 369 427 497 581 671 749 807 825 776 710 644 598 556 499 508
6 5 5 5 6 6 6 5 6 5 4 3 3 3 3 3 3 2 2 2 2 1 2 2 1 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 1 1 1 1 3 8 14 20 28 36 46 56 63 65 54 45 35 27 19 14 16 19 22 26 28 28 19 11 4 2 2 5 9 12 14 12 9 6 4 2 3 8 9 9 7 6 15 37 65 92 109 128 157 190 222 246 243 261 291 327 369 432 505 584 666 736 712 650 582 538 541 528 524
5 5 5 6 6 6 6 6 6 5 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 2 5 10 16 26 31 39 48 60 72 62 52 41 30 24 15 14 16 20 27 28 27 21 13 6 5 7 11 15 17 17 14 10 6 3 2 3 6 10 14 13 11 11 15 26 54 73 101 134 169 198 212 215 225 245 270 294 322 358 408 476 556 601 581 520 476 492 515 523
6 4 4 4 4 5 5 5 5 4 3 3 3 4 4 3 2 2 2 2 1 1 2 2 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 5 10 20 27 33 41 54 71 75 67 51 32 27 21 17 15 17 24 27 26 21 14 6 8 10 12 13 16 16 13 9 5 2 2 3 4 7 15 17 18 17 15 8 23 41 69 106 147 173 190 200 210 241 261 269 271 279 298 349 417 488 515 474 444 444 450 449
6 5 5 4 4 4 4 4 3 2 3 3 4 4 3 3 3 2 2 2 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 2 2 4 5 8 15 21 27 33 47 68 84 85 64 43 36 32 24 15 14 20 23 23 18 10 7 8 9 10 9 10 10 8 6 3 2 1 1 2 4 10 16 20 23 23 15 12 17 31 60 97 129 159 186 208 247 279 292 284 273 263 269 318 399 446 446 428 417 408 361
6 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 3 2 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 2 3 4 4 3 3 4 6 8 10 14 20 27 41 61 81 92 77 60 47 34 24 14 12 13 15 14 12 8 7 7 9 9 7 5 5 5 4 2 1 0 1 2 3 6 9 13 21 23 19 11 4 7 23 45 75 111 156 199 251 304 346 351 335 283 225 213 288 350 411 436 403 373 347
5 5 5 5 5 5 4 3 4 4 3 3 3 4 4 4 4 4 3 2 2 2 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 2 3 4 5 5 5 5 6 6 6 7 9 13 21 34 53 74 88 83 70 53 36 24 15 10 8 9 9 8 8 8 9 11 10 7 4 3 4 2 1 0 0 1 2 2 2 3 5 11 15 14 8 1 1 5 17 40 70 115 168 224 282 354 400 415 369 263 182 173 208 288 390 404 364 349
5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 2 2 1 1 1 1 1 2 1 0 0 0 0 0 1 2 4 3 3 3 4 4 4 5 4 4 6 9 17 30 47 70 83 82 70 53 35 22 13 9 8 7 7 7 9 9 9 11 12 9 5 4 3 2 0 0 0 1 1 1 0 0 1 3 6 8 4 1 0 1 8 26 52 85 126 175 226 299 377 435 437 353 240 144 100 130 243 351 357 334
4 3 5 4 4 5 5 5 4 4 4 3 3 4 3 3 3 3 4 5 5 5 5 4 3 2 2 2 2 2 2 2 1 1 0 0 0 1 3 4 3 1 1 0 1 1 2 3 2 4 6 13 26 45 69 84 82 65 46 29 18 13 10 9 9 9 9 8 7 9 13 15 12 8 7 4 1 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 1 6 20 39 62 90 133 182 235 304 387 436 418 326 193 89 50 89 236 361 352
5 5 4 4 4 4 5 5 4 4 3 3 3 4 4 3 2 4 4 5 6 7 7 6 4 4 4 3 3 3 3 2 2 2 1 1 1 2 4 4 2 2 1 0 0 0 0 1 1 2 3 7 21 46 72 88 85 62 37 22 15 13 10 8 8 9 9 7 5 10 17 21 18 16 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 26 41 61 94 132 177 234 322 406 470 439 289 154 72 41 106 280 359
6 6 5 5 4 4 5 4 4 4 3 3 4 4 5 5 4 5 6 6 6 7 8 8 7 5 5 4 4 3 3 2 2 2 2 2 3 4 5 5 4 3 1 1 1 0 0 0 0 1 1 3 15 41 68 85 80 56 36 23 16 11 7 5 6 9 10 6 5 12 22 28 29 25 18 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 25 43 72 113 172 258 355 440 487 422 276 154 93 90 178 289
6 6 6 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 7 7 7 7 8 8 8 6 6 5 5 4 3 2 2 2 2 2 3 4 5 5 5 4 2 1 0 0 0 0 0 0 1 3 9 27 50 68 69 51 34 22 16 13 11 12 16 17 15 9 9 18 27 32 38 36 24 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 8 27 56 101 169 255 346 428 475 411 277 188 139 135 188
7 7 6 6 6 6 5 5 4 4 5 5 5 6 6 7 7 8 9 9 9 8 7 7 6 6 6 6 5 5 4 3 2 2 2 2 3 4 5 5 4 3 2 1 0 0 0 0 0 0 1 2 5 13 28 44 58 52 33 20 16 19 21 23 27 29 29 26 27 35 38 43 48 44 26 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 20 43 88 160 238 313 397 438 377 306 223 169 161
8 8 7 7 7 7 7 6 5 6 6 6 6 6 7 8 8 9 10 10 9 8 7 6 6 6 6 6 5 4 3 3 2 2 1 1 2 4 5 5 4 3 2 1 0 0 0 0 0 0 1 2 4 7 15 25 40 48 40 29 22 25 32 36 39 44 49 52 51 48 51 55 56 46 23 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 19 43 90 166 241 310 380 385 390 343 263 221
11 10 9 8 7 7 7 8 7 7 7 7 7 6 7 8 8 8 8 8 8 8 8 7 8 7 7 6 5 5 5 4 3 2 1 1 1 3 4 4 3 3 2 1 0 0 0 0 0 1 1 1 2 4 9 15 25 38 45 41 38 38 45 50 53 61 69 70 66 64 66 68 64 44 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 13 42 85 146 207 257 310 336 358 371 329 279
14 13 11 10 8 8 8 8 7 7 7 7 7 6 7 8 9 8 9 10 9 9 9 9 9 10 9 7 7 7 7 6 5 3 2 1 0 2 2 3 3 3 3 1 0 0 0 0 0 1 1 1 2 3 6 11 17 28 45 55 59 61 63 72 80 86 91 87 86 86 87 86 74 48 22 4 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 3 17 45 88 137 178 213 251 280 292 308 311 288
17 15 13 11 10 9 9 9 8 8 7 7 8 8 7 8 9 9 10 10 11 10 10 10 10 10 11 9 9 9 9 8 8 6 4 2 0 1 2 2 3 3 2 1 1 0 0 0 0 0 1 1 2 3 5 8 12 22 41 61 76 80 81 91 103 108 107 103 104 108 108 96 76 49 23 4 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 10 32 67 108 150 177 200 223 236 251 266 264
17 16 14 12 11 10 9 9 9 9 8 8 8 8 8 7 8 9 9 10 10 11 11 11 11 11 12 12 11 11 12 11 10 9 7 3 2 2 2 3 4 3 2 1 1 0 0 0 0 0 1 2 3 3 5 7 8 16 34 58 80 83 88 98 110 116 113 111 109 104 93 76 61 45 25 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 32 57 93 124 148 175 199 218 230 233
20 17 15 13 11 10 9 10 10 10 9 9 9 9 9 8 8 9 9 9 10 11 11 13 14 13 14 14 13 12 14 13 12 11 10 6 4 3 3 3 5 4 2 1 1 0 0 0 0 0 1 2 3 4 4 6 7 13 26 47 69 83 96 108 111 111 103 91 82 72 62 51 42 37 27 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 19 39 64 87 111 135 159 182 195
22 19 16 14 14 12 12 12 11 10 10 9 9 10 11 10 10 9 8 9 10 11 13 14 15 15 15 16 15 13 14 13 12 11 10 9 7 5 4 5 5 4 2 1 1 0 0 0 0 0 1 2 3 3 4 5 6 10 16 36 57 76 93 104 96 84 71 59 48 42 37 34 31 31 26 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 23 34 48 68 89 112 129
24 20 17 17 16 15 15 14 13 11 10 10 11 12 12 11 11 10 9 10 12 13 14 15 15 14 14 14 15 15 14 14 12 10 9 8 7 5 2 4 6 5 3 1 0 0 0 0 0 0 0 1 2 3 4 4 5 7 9 26 48 68 80 79 66 54 45 42 35 29 27 28 27 28 24 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 16 24 37 52 68
25 19 17 17 16 16 16 15 13 11 11 11 12 13 12 12 11 12 12 12 14 15 15 16 16 15 14 14 15 15 15 13 12 10 9 8 7 5 3 3 4 5 3 2 1 0 0 0 0 0 0 1 2 3 4 4 5 5 8 21 42 66 70 65 56 45 38 43 42 37 31 32 28 25 20 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 10 19 26
25 18 16 16 16 16 16 16 14 12 11 11 11 12 13 13 13 14 16 16 17 18 18 18 18 17 16 17 17 17 15 14 12 11 9 8 6 4 3 2 2 4 3 3 2 1 0 0 0 0 0 0 2 3 4 4 4 4 8 19 40 65 68 62 53 45 45 51 52 46 34 34 29 22 16 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11
25 19 17 16 15 16 17 17 16 14 13 12 11 12 13 15 17 19 21 23 23 23 22 21 21 19 18 19 19 18 17 15 13 11 9 6 4 2 1 1 2 3 3 4 4 2 1 0 0 0 0 0 2 4 5 4 4 4 6 12 36 55 62 59 49 48 52 57 58 51 39 32 26 19 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8
28 21 19 18 18 19 19 20 19 17 15 12 12 13 15 18 21 24 26 27 27 27 27 26 24 21 20 19 19 19 18 15 12 8 5 3 1 0 0 1 1 1 3 4 5 3 2 1 0 0 0 1 2 3 5 4 4 4 5 9 25 40 51 58 52 54 56 58 58 50 40 29 20 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 15
29 24 22 21 22 23 24 23 22 19 17 14 15 16 18 20 23 26 28 30 33 33 32 29 25 21 19 17 16 16 14 12 8 4 2 1 0 0 0 1 1 1 2 3 4 3 3 2 0 0 0 0 1 3 5 4 4 4 5 8 15 24 35 49 55 60 62 62 60 53 41 27 15 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 3 8 21 35 45
29 26 26 27 29 31 30 27 23 21 19 19 21 22 23 23 26 28 31 34 32 32 30 26 22 18 16 15 14 11 9 8 7 4 3 2 2 2 2 3 2 2 2 4 5 4 4 2 1 0 0 0 2 4 5 5 4 5 5 7 10 13 20 34 48 61 67 67 64 57 46 26 14 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 4 6 6 5 6 10 16 28 41 46
33 31 31 34 37 39 40 38 31 28 27 28 29 31 32 31 31 32 32 31 28 26 23 20 17 15 14 13 12 11 11 10 9 7 6 5 4 3 3 3 3 3 4 5 6 6 5 4 2 1 1 0 2 4 5 5 5 5 5 6 7 8 11 20 35 59 63 62 58 53 49 29 15 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 7 5 5 6 13 19 25 36 60
38 35 35 39 47 56 65 68 56 49 40 40 45 45 45 41 37 35 31 29 26 24 21 18 15 13 12 12 11 12 13 13 12 9 8 7 6 5 4 3 3 4 5 6 7 8 7 6 4 2 1 1 2 5 6 6 5 5 4 4 5 6 7 12 20 44 54 56 52 45 41 29 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 0 0 2 6 10 12 16 29
47 42 44 53 61 67 72 74 69 61 55 55 63 58 55 47 36 33 31 28 26 24 21 18 15 13 12 12 13 14 14 14 12 10 8 7 5 5 4 3 4 4 4 5 7 9 10 9 7 4 2 3 4 6 7 7 5 4 3 3 5 6 6 7 14 29 41 47 45 38 32 25 16 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 12 14
55 55 59 61 59 57 55 50 46 45 45 44 46 48 47 44 39 38 32 27 25 24 21 18 16 14 15 13 13 15 15 13 12 10 8 6 5 5 4 4 3 3 2 2 6 9 10 10 8 6 4 3 4 7 9 8 6 4 2 3 4 5 6 6 10 17 24 33 30 27 25 23 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 5 8
45 45 45 45 43 39 37 35 35 35 35 33 32 31 30 29 31 30 25 23 25 24 21 18 16 14 14 14 15 16 14 12 11 10 9 7 5 4 4 4 3 2 1 1 3 7 9 10 8 6 5 5 6 9 10 9 6 4 2 3 3 4 5 5 6 7 8 13 13 14 15 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4
33 33 32 31 29 28 28 27 27 26 24 22 19 17 16 16 19 21 21 20 23 23 21 18 16 14 14 14 14 15 14 12 11 10 8 7 5 4 4 3 2 1 0 1 3 6 9 10 9 8 7 7 8 11 11 10 7 5 3 2 2 2 3 3 3 3 2 2 3 4 6 6 3 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8
23 21 21 20 19 20 20 19 17 15 11 10 9 8 9 11 13 14 15 17 21 22 21 18 15 13 14 14 14 14 12 11 10 9 8 7 6 5 3 1 0 0 2 2 5 8 12 13 11 10 9 8 9 10 10 10 9 6 3 1 1 1 1 0 0 1 1 1 1 1 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8
10 10 10 10 11 12 10 9 7 6 2 2 4 5 6 8 11 14 16 18 18 18 17 16 14 14 15 15 13 12 11 10 9 9 8 7 7 6 4 2 1 2 4 5 6 9 11 12 12 11 10 8 7 7 8 10 10 8 4 2 1 0 0 0 0 0 0 1 1 1 2 4 5 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 8
3 3 3 3 4 3 2 1 2 2 1 1 3 4 5 7 9 10 9 10 10 11 11 11 12 12 13 14 13 12 11 11 10 9 9 9 9 7 5 3 2 5 5 4 4 4 5 7 7 7 6 5 5 6 7 9 10 9 7 4 3 2 1 0 0 0 0 0 0 0 1 2 4 8 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 9 8 9 12
4 3 3 4 2 2 2 2 1 1 1 1 1 2 3 4 4 3 3 4 5 6 7 8 10 13 14 14 13 13 12 11 10 10 9 10 9 8 6 5 3 3 3 2 2 1 2 3 5 6 5 4 4 4 6 7 8 9 8 7 6 5 3 1 0 0 0 0 0 0 0 1 1 3 5 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 14 13 14 15
3 3 3 4 3 2 2 3 2 1 1 0 0 1 1 1 1 0 0 1 3 5 6 7 10 13 14 14 14 14 13 12 12 11 9 10 10 9 8 7 4 2 1 0 2 2 2 3 5 6 5 5 4 4 5 6 7 8 8 8 8 8 6 2 0 0 0 0 0 0 0 0 0 0 1 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 14 15 15 15 15
3 4 3 3 3 3 2 3 2 1 0 0 0 1 1 1 0 0 1 2 3 5 6 8 11 13 15 16 16 15 14 13 13 12 10 10 10 11 11 9 6 3 1 0 2 3 4 5 6 7 7 6 4 4 5 5 6 6 7 7 8 8 8 5 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 15 13 12 11
3 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 4 6 7 10 12 15 17 18 18 17 16 14 13 11 10 10 10 10 9 8 5 2 1 1 3 4 7 8 8 8 8 7 5 4 4 4 5 5 5 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 12 9 6
3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 3 4 5 8 10 11 14 16 18 19 18 17 16 14 13 12 11 10 10 9 8 5 2 2 3 4 7 9 10 10 9 8 6 5 5 5 4 5 5 5 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 8 3
3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 9 9 11 13 16 16 18 19 17 15 14 13 12 12 10 9 9 7 3 3 4 6 9 11 12 12 9 7 6 5 4 5 5 5 5 5 5 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1
3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 1 3 4 5 6 7 7 7 9 12 15 14 14 16 15 16 16 15 15 14 12 11 10 8 6 4 4 6 7 9 12 14 11 8 6 5 4 4 4 5 5 5 5 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 7 8 10 12 12 12 12 12 13 15 15 15 15 15 14 12 10 9 7 6 6 6 7 9 10 14 12 9 7 5 4 4 5 6 6 6 6 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6
3 3 3 2 1 1 1 1 1 1 1 0 1 1 0 1 1 2 3 4 4 4 5 7 8 8 10 11 10 11 13 14 14 13 13 13 14 14 11 10 9 8 7 5 5 5 6 9 11 11 10 9 6 5 4 5 7 8 7 7 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8
4 3 3 2 1 1 1 1 1 1 1 0 1 1 1 1 2 2 2 3 5 5 5 6 6 6 8 10 11 12 13 14 15 14 13 12 12 12 11 10 10 9 8 6 6 5 4 7 9 11 11 9 7 6 5 5 7 8 9 8 6 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8
4 4 3 2 2 1 1 1 1 1 1 1 1 1 0 1 1 1 2 3 3 4 4 4 5 6 8 9 10 12 13 13 14 14 14 14 13 12 11 11 11 11 10 9 7 6 5 6 8 11 11 10 8 7 6 6 7 8 9 10 8 6 5 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
5 4 3 2 2 2 1 1 1 1 1 0 0 0 0 0 1 1 2 2 2 3 4 5 7 8 9 10 11 12 12 12 13 14 14 14 13 12 12 13 13 13 12 12 11 9 7 7 7 9 9 9 8 7 6 6 7 8 9 10 9 7 5 5 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 3 5 6 7 9 10 11 11 10 9 12 13 14 15 14 14 13 13 14 15 16 15 12 11 10 9 8 7 8 9 9 8 7 7 7 8 8 8 8 8 8 6 5 5 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 8 8 10 10 9 10 12 14 14 15 14 14 13 11 11 12 12 12 11 10 9 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 5 5 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 8 9 9 9 10 11 11 11 14 14 14 15 15 13 11 10 8 7 6 6 7 7 7 7 7 6 6 6 6 5 7 7 7 6 6 6 6 6 6 6 5 4 4 5 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 3 3 1 1 1 1 0 0 0 0 0 0 0 1 2 3 4 5 6 8 9 10 12 13 13 13 12 13 13 16 17 18 17 17 15 12 10 8 5 3 3 3 4 5 5 6 6 6 5 6 6 6 6 6 6 6 6 5 6 5 5 5 4 5 5 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 2 1 1 1 0 0 0 0 0 0 0 1 1 2 4 5 7 8 10 12 14 16 17 17 17 17 16 15 16 18 20 19 18 16 14 12 9 6 3 1 1 2 3 3 4 5 5 4 5 5 5 6 5 5 5 6 5 5 5 5 4 4 5 5 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 1 1 1 0 0 0 0 0 1 1 2 2 2 3 4 5 7 9 11 14 17 18 19 20 21 21 19 17 17 18 20 20 18 16 13 11 9 7 5 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 1 1 0 0 0 0 0 1 2 2 2 3 4 4 5 8 12 14 17 18 17 19 20 20 20 19 18 18 20 22 21 19 15 12 10 8 7 6 6 5 4 3 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 6 5 6 6 7 7 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 2 1 1 0 0 0 0 1 1 2 2 2 3 4 5 6 9 12 15 17 18 18 18 18 16 17 19 19 18 21 22 21 19 16 13 10 8 7 7 7 7 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 2 1 1 1 1 1 1 0 1 2 2 3 3 4 5 7 10 12 14 15 16 15 15 15 15 15 17 18 16 18 19 18 18 16 14 11 10 10 9 9 8 6 5 5 4 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 7 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 3 3 2 2 2 1 1 1 1 2 2 3 4 4 5 6 8 10 11 12 14 14 14 13 13 13 13 14 14 14 16 17 15 14 14 14 13 13 13 13 13 12 10 7 5 2 2 2 3 3 4 4 4 4 5 5 4 4 6 6 7 8 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 4 3 2 2 2 2 1 2 2 3 3 4 5 5 5 5 7 8 9 11 12 13 13 11 11 11 11 12 12 12 13 14 11 11 11 13 15 15 16 17 18 18 15 11 6 3 2 3 3 4 4 4 5 5 5 5 5 5 6 6 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 3 2 2 1 1 2 2 2 3 3 4 5 5 5 5 4 5 7 8 11 11 10 10 9 8 8 8 9 9 11 11 12 10 9 9 11 13 15 17 19 21 23 22 17 8 4 3 3 3 4 4 4 5 6 6 5 5 6 5 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 3 1 1 1 1 2 2 3 3 4 4 5 5 5 5 5 6 7 8 10 9 7 5 5 5 5 6 7 9 10 11 11 11 10 8 8 9 12 16 19 23 27 28 24 14 6 3 2 3 3 4 4 4 5 5 5 4 3 2 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 1 1 0 0 1 2 2 2 3 3 3 4 5 6 7 8 9 10 10 9 8 6 4 3 3 3 4 6 8 10 11 12 11 10 9 7 7 8 12 16 21 27 31 27 19 10 2 2 3 3 3 3 3 3 4 5 4 3 1 0 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 0 0 1 2 2 2 2 2 3 4 5 7 9 11 13 13 12 10 8 5 3 3 2 3 4 5 7 8 10 11 11 10 8 7 5 4 6 10 16 26 29 27 21 12 4 2 3 3 3 3 3 3 4 4 3 2 1 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0