Vorticity
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nan 7 7 7 7 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 8 8 8 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 8 7 6 6 7 8 8 9 9 9 10 10 9 7 6 6 6 6 6 6 6 6 7 8 10 11 11 11 9 7 6 5 4 4 4 5 6 7 8 10 12 13 14 14 14 13 13 12 11 10 10 9 9 8 8 8 7 7 8 8 9 10 11 13 14 16 nan
nan 7 7 7 7 8 9 9 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 10 11 12 12 11 10 8 7 7 7 7 6 5 5 6 6 7 9 13 16 17 15 12 10 9 10 10 9 8 7 7 8 10 11 13 13 14 13 13 12 12 11 10 10 10 9 9 8 8 7 7 7 8 8 9 10 11 13 15 nan
nan 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 9 8 8 8 8 7 6 6 6 6 6 7 11 16 18 18 18 20 21 22 20 17 13 9 7 8 9 10 12 13 13 13 12 12 11 11 10 10 11 10 10 9 8 7 7 7 7 8 8 9 11 12 13 nan
nan 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 5 5 7 10 13 17 22 27 31 31 28 22 15 10 7 7 8 9 11 12 12 12 11 11 11 11 11 11 12 11 10 9 8 7 6 7 7 8 8 9 10 11 12 nan
nan 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 8 9 8 8 8 8 8 9 9 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 12 12 12 12 12 11 10 10 9 9 9 9 10 10 9 9 9 9 9 9 8 7 7 6 6 6 8 13 19 23 26 27 24 19 14 9 7 7 7 8 10 11 11 11 10 10 10 11 12 12 12 12 11 10 8 7 6 7 7 7 8 8 9 9 11 nan
nan 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 9 9 9 9 9 9 9 9 8 7 8 8 9 9 9 9 10 10 9 9 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 10 9 10 10 10 9 9 9 9 10 9 8 7 8 7 7 6 7 9 12 13 14 15 14 13 13 12 11 9 8 9 10 10 10 10 10 10 10 11 12 12 12 12 11 10 9 7 7 7 7 7 7 8 8 8 10 nan
nan 8 8 9 9 9 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 9 10 10 10 10 9 8 7 7 7 7 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 7 7 7 7 6 6 7 8 9 8 8 9 12 16 18 17 14 11 10 10 10 10 10 10 10 11 11 12 12 13 13 12 11 9 8 7 7 7 7 7 7 7 7 8 nan
nan 8 8 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 6 7 7 8 8 8 7 7 8 8 8 9 9 8 7 7 7 8 8 8 8 8 7 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 10 11 12 12 11 10 9 8 8 8 8 9 9 9 9 9 10 10 9 9 10 10 10 9 8 7 6 6 6 6 6 6 6 7 8 8 8 9 12 17 20 20 18 16 13 12 11 11 10 10 10 11 11 12 12 13 13 12 11 10 9 8 8 7 7 7 6 6 6 7 nan
nan 8 9 10 10 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 8 9 8 7 6 7 7 7 8 8 8 7 8 9 10 11 12 12 11 9 8 8 9 10 12 12 11 11 10 9 8 7 8 8 8 9 9 8 8 8 9 9 10 10 11 11 10 7 6 5 6 7 7 7 6 7 7 8 9 9 9 9 11 13 15 18 20 20 18 16 14 12 11 10 11 11 11 12 12 12 12 12 12 11 10 9 8 7 7 7 6 6 6 6 nan
nan 8 9 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 8 9 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 9 9 10 8 6 6 6 6 6 7 7 7 7 8 9 11 13 13 12 11 10 9 10 12 13 12 11 9 8 7 6 6 7 8 8 9 9 9 8 7 7 8 8 9 11 11 11 9 7 6 6 7 8 8 8 8 9 9 9 9 8 8 8 8 8 10 13 17 19 20 20 18 16 16 16 15 14 13 12 11 11 12 11 11 11 10 9 8 8 8 7 7 6 6 6 nan
nan 8 8 9 9 8 8 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 8 5 5 5 5 6 7 7 7 8 9 10 11 12 11 10 9 10 11 13 13 12 10 7 5 4 4 5 6 7 8 9 9 9 9 8 8 7 7 8 9 10 10 10 9 8 8 9 9 9 8 8 9 10 11 9 7 7 7 7 6 6 6 8 10 13 17 20 22 23 25 26 25 22 17 12 10 10 10 10 10 10 10 9 9 9 9 8 8 7 6 6 nan
nan 7 7 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 7 8 8 8 9 9 9 9 7 5 4 5 6 7 7 7 8 8 9 10 11 10 9 8 9 11 13 13 12 9 5 3 2 3 5 6 7 9 9 10 10 10 9 9 9 9 9 8 9 9 9 10 10 10 11 11 11 9 8 9 9 10 9 7 6 6 6 6 5 5 4 4 5 8 13 17 21 25 27 28 26 22 15 9 7 8 8 9 9 9 9 9 10 10 10 9 9 8 8 7 nan
nan 7 7 7 7 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 6 5 5 6 7 7 7 7 8 8 9 9 9 8 8 8 10 12 13 12 8 4 2 2 3 5 7 8 10 11 11 11 11 10 9 9 9 10 10 10 9 9 9 9 10 11 12 12 11 10 9 9 8 8 6 5 6 6 7 6 6 5 4 5 6 8 10 12 15 17 19 18 14 8 3 2 4 5 7 7 8 8 9 9 10 10 11 11 11 10 9 8 nan
nan 7 7 6 7 8 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 6 6 7 7 8 8 9 9 9 9 9 9 8 7 6 6 6 7 7 6 6 6 6 7 8 8 7 8 9 10 12 11 8 4 3 3 4 6 8 9 10 10 11 11 11 10 9 8 8 9 10 11 10 9 9 9 9 10 11 11 12 11 11 11 10 8 6 5 5 7 8 8 8 7 6 6 7 8 8 8 9 9 10 10 8 2 -5 -7 -2 2 5 6 7 7 8 9 10 10 11 12 12 12 12 10 9 nan
nan 8 7 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 7 7 8 9 10 9 9 9 9 8 7 7 7 7 6 5 5 5 6 7 8 8 8 8 9 10 10 8 5 4 4 5 6 8 9 9 9 9 9 9 10 9 8 7 8 10 12 13 11 10 9 9 9 10 10 10 10 11 11 11 10 9 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 4 -2 -6 -4 1 5 7 8 8 8 8 9 10 11 12 12 13 13 13 11 10 nan
nan 8 7 7 7 7 8 9 10 10 9 8 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 7 6 5 5 6 6 7 8 9 9 8 8 8 8 7 6 4 4 5 6 7 8 9 9 8 7 7 7 8 8 8 9 11 12 13 12 11 10 9 9 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 7 7 7 8 8 8 6 2 -2 -1 4 10 13 13 11 9 9 9 9 10 11 11 12 13 13 13 12 11 nan
nan 8 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 6 5 6 6 7 8 8 9 9 9 9 9 9 8 6 6 6 6 7 7 8 9 9 7 7 6 6 6 6 5 5 6 7 8 9 9 9 8 7 7 7 8 9 10 11 12 12 12 11 11 10 10 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 9 9 10 10 9 8 6 6 7 8 7 6 4 5 11 18 23 23 21 17 14 12 10 10 10 10 10 11 12 12 12 12 11 nan
nan 7 7 6 7 8 8 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 9 9 8 7 6 7 7 6 5 5 6 6 7 8 8 9 10 10 10 10 9 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 8 9 9 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 7 7 7 7 8 8 10 15 23 28 29 27 24 23 20 16 12 10 9 9 9 10 11 11 12 12 12 nan
nan 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 7 8 9 9 9 7 7 9 8 6 5 5 5 6 7 7 8 9 10 11 12 10 9 8 7 7 6 5 4 5 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 10 11 12 12 12 11 10 9 9 9 10 9 9 9 9 9 9 10 10 10 11 11 12 12 11 10 9 9 8 8 8 8 9 9 10 10 10 9 8 7 7 8 10 13 17 21 22 21 20 22 23 22 18 13 9 8 8 9 9 10 10 11 11 11 nan
nan 8 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 7 8 9 9 9 7 7 9 9 8 7 6 6 6 7 7 8 9 10 12 12 10 9 8 8 8 7 5 5 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 9 10 10 11 11 10 9 8 7 8 9 9 8 8 7 7 7 9 9 10 10 11 11 11 11 10 9 9 9 9 8 8 8 9 9 9 10 10 10 9 8 9 9 10 11 12 12 12 12 13 15 17 18 17 12 9 8 8 8 8 9 9 10 10 10 nan
nan 8 8 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 7 8 8 9 8 7 7 8 10 10 9 7 6 7 7 7 8 9 9 10 11 10 9 9 9 9 7 6 7 8 8 8 8 8 8 7 6 7 7 8 8 7 7 6 7 8 9 9 10 10 10 9 7 6 6 8 9 8 7 6 6 5 5 6 8 9 10 10 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 8 7 6 5 5 6 8 9 8 8 7 7 8 8 8 8 8 8 9 nan
nan 9 9 9 9 8 8 8 8 7 7 7 7 8 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 7 7 7 7 8 8 9 10 10 9 10 10 9 6 6 8 9 10 10 10 9 8 7 6 7 7 8 8 7 7 7 7 8 9 9 10 10 10 8 7 6 7 8 9 8 7 6 6 5 5 6 8 8 8 8 8 8 8 10 12 13 13 12 11 11 11 11 11 11 11 11 11 12 13 12 11 11 10 9 8 5 0 -4 -6 -6 -5 -4 1 4 6 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 8 8 8 8 8 7 6 7 8 8 8 8 8 8 8 8 7 9 9 9 8 8 7 7 7 7 8 8 8 8 9 7 6 6 7 7 8 8 9 9 9 10 10 9 8 8 8 9 10 10 9 8 7 6 5 5 6 7 7 7 7 7 8 9 9 9 10 10 10 8 7 7 9 10 10 9 8 8 8 8 8 9 10 10 9 9 9 9 9 11 13 12 11 11 11 11 12 12 13 12 11 11 11 13 14 13 11 10 9 9 7 4 0 -4 -7 -8 -8 -5 -0 4 7 8 8 7 7 7 6 6 7 nan
nan 9 8 8 8 8 8 8 9 8 7 7 7 7 8 8 8 8 8 8 7 7 8 9 9 8 8 8 8 8 8 8 8 8 10 10 7 6 6 7 7 8 8 8 8 9 9 9 9 10 9 9 9 10 9 8 7 7 6 6 5 5 6 7 7 7 7 7 8 8 9 9 9 8 7 7 8 9 10 10 9 9 10 11 11 12 12 12 12 12 11 10 9 10 11 11 10 10 10 11 11 12 13 13 12 11 11 12 13 12 10 8 7 7 7 7 7 7 8 8 6 4 6 7 8 8 8 8 8 7 7 7 6 7 nan
nan 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 9 9 8 6 7 8 8 8 8 8 9 9 9 8 8 8 9 10 10 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 7 6 6 7 7 7 7 6 6 8 10 10 9 8 9 10 11 12 12 12 11 11 12 11 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 10 8 6 6 7 7 7 8 10 13 17 20 19 16 13 11 10 9 9 8 8 7 7 7 7 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 8 7 6 6 6 5 4 5 6 6 6 6 7 8 9 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 10 10 11 10 9 8 7 7 9 11 11 11 11 12 14 17 20 19 15 12 11 10 10 10 10 9 9 9 9 10 10 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
30 32 35 39 40 40 39 38 40 41 41 41 42 43 45 47 46 47 49 47 46 46 46 45 44 43 43 43 43 42 43 43 43 44 45 44 41 40 42 43 43 42 43 40 39 40 39 39 39 38 36 33 33 32 28 25 19 15 11 6 2 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 15 19 26 31 33 35 38 40 40 37 35 35 37 37 38 36 38 42 43 41 40 39 39 40 42 46 48 48 45 39 36 33 32 32 33 33 25 21 20 19 17 16 14 10 7 6 5 6
29 31 33 38 42 43 42 40 41 43 43 42 42 42 44 47 48 45 48 48 47 47 46 45 44 43 42 43 43 44 44 43 42 42 41 40 40 41 42 41 39 40 42 40 37 37 38 39 38 36 34 31 30 27 23 19 16 12 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 1 4 9 14 19 23 31 35 36 39 42 43 41 38 38 40 42 42 41 40 42 41 40 40 41 41 41 41 39 41 46 48 48 46 43 41 40 35 35 34 30 26 22 18 17 16 14 11 10 9 7 7
29 32 32 36 39 41 42 41 41 42 42 42 42 41 41 43 42 42 42 42 43 45 46 44 43 41 40 41 40 41 41 40 40 41 41 40 40 39 37 37 36 35 35 34 33 33 35 36 36 33 32 29 29 26 22 18 15 11 6 2 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 14 18 25 31 36 38 41 44 45 43 40 43 46 47 47 45 44 45 47 45 42 43 46 48 51 53 49 48 49 49 48 47 47 46 49 46 41 36 33 30 25 20 17 16 15 14 13 12 9 9
28 32 32 34 36 37 37 37 37 37 37 37 37 37 36 36 36 37 37 38 39 40 42 43 43 43 42 42 41 41 41 40 40 41 40 38 34 32 30 31 31 31 30 30 31 32 33 34 33 30 29 27 26 23 20 17 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 16 18 25 33 39 41 43 46 50 51 45 45 51 53 51 49 46 48 51 52 51 50 50 52 57 62 66 68 68 63 59 54 50 47 45 50 51 48 41 36 33 28 21 18 18 18 16 15 13 11 9
28 31 33 34 35 35 35 34 35 35 36 36 35 35 34 35 36 36 37 38 40 40 40 40 41 42 43 44 44 44 43 40 39 37 33 30 28 28 29 30 30 29 29 29 30 30 31 32 31 30 28 25 23 21 18 14 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 19 25 31 40 45 47 49 51 52 54 51 48 51 55 56 54 51 49 51 56 58 58 56 56 59 65 71 75 76 75 72 70 66 60 53 49 48 48 49 48 42 35 30 26 20 19 20 18 17 15 12 10
25 29 33 34 35 36 36 35 35 36 37 38 37 36 35 34 34 34 34 33 32 33 35 36 37 38 40 41 41 40 38 36 34 32 29 28 27 28 28 28 28 27 27 27 27 28 29 30 29 29 27 25 23 21 17 12 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 26 33 43 52 57 60 61 60 59 59 55 55 57 59 59 57 54 53 57 61 64 63 60 61 65 73 80 85 83 77 74 72 69 67 62 59 52 48 49 48 44 39 33 30 23 21 20 20 19 16 13 12
22 25 32 33 35 37 38 38 37 38 40 41 39 38 33 31 30 30 29 29 29 28 28 30 31 32 35 35 35 34 33 32 31 29 27 26 25 24 24 23 22 22 23 23 24 26 27 29 30 28 27 25 23 19 16 11 7 5 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 31 41 53 62 67 69 70 70 70 70 70 67 64 61 59 58 56 58 63 69 68 67 65 66 70 77 85 90 90 84 77 71 69 67 66 66 64 59 52 47 44 42 38 34 28 24 21 20 18 15 14 14
19 21 26 30 35 38 40 39 38 38 39 39 37 36 31 30 28 26 28 29 30 29 27 27 29 29 31 32 31 31 30 29 28 27 25 24 22 20 20 20 20 21 21 22 22 23 23 25 28 29 27 25 22 18 13 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 22 34 43 57 68 71 74 77 81 81 82 79 74 69 63 60 58 60 63 71 74 73 71 70 71 75 81 86 90 91 88 79 71 68 67 68 69 68 64 60 53 45 43 42 39 33 27 25 22 20 17 15 14
16 20 23 28 33 35 35 34 34 34 34 33 31 30 28 28 28 28 28 28 27 26 25 26 28 29 30 30 30 29 29 28 27 24 22 20 19 20 21 22 21 20 20 21 23 24 20 21 23 23 23 21 18 15 11 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 27 37 44 57 69 74 77 81 87 87 87 83 79 73 68 63 62 66 71 76 78 77 76 74 74 79 84 89 92 93 90 84 76 69 66 66 69 71 72 69 65 54 47 44 43 41 36 31 27 23 19 18 16
14 18 22 26 29 29 28 28 28 28 29 29 28 26 24 23 23 22 22 22 23 22 23 24 27 28 29 29 28 28 27 27 24 21 19 18 19 19 18 16 15 14 14 16 21 22 21 20 20 19 19 17 14 12 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 28 39 45 55 68 77 78 83 90 90 89 87 84 80 75 70 70 73 76 78 79 79 78 75 75 79 84 89 95 96 95 89 82 76 70 68 67 69 73 73 72 66 59 49 44 45 44 39 33 27 24 21 20
11 14 17 22 25 26 26 25 25 25 25 23 22 20 19 18 18 16 16 17 18 17 18 21 23 24 26 26 24 23 22 21 19 19 19 19 17 14 13 13 12 12 12 13 15 17 19 20 19 17 15 13 11 10 8 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 6 16 28 38 46 53 68 78 78 87 94 96 96 96 94 91 86 79 77 78 77 79 78 78 80 77 74 76 82 88 95 98 98 94 88 83 79 76 71 70 71 73 74 75 72 61 50 49 49 47 42 34 30 27 23
7 10 13 17 20 22 23 23 24 23 21 19 17 15 15 15 16 17 16 15 15 15 16 16 18 19 20 20 19 19 18 18 18 18 17 14 12 10 10 9 9 9 11 12 12 12 14 17 19 18 16 14 11 9 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 2 9 18 27 36 47 56 69 76 78 88 98 104 108 108 107 102 95 87 81 82 82 84 85 87 86 82 76 76 81 88 94 97 98 97 94 90 86 84 82 79 76 73 73 77 79 73 64 56 50 50 50 43 37 32 26
5 6 8 13 17 19 21 22 22 20 18 16 14 14 14 14 15 15 15 15 15 13 14 15 16 17 18 18 18 18 18 17 18 16 13 11 9 8 7 7 6 7 8 9 10 11 11 12 14 14 14 12 9 7 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 4 12 20 28 39 48 59 71 75 79 86 97 106 112 111 109 105 100 93 87 90 93 94 94 94 94 91 84 80 82 88 94 96 97 96 94 92 90 87 85 83 82 78 76 79 80 80 76 67 55 53 52 48 44 39 33
5 4 5 9 13 15 16 17 17 14 12 11 12 14 13 12 12 12 13 12 11 13 15 15 16 17 18 18 17 17 16 15 15 12 10 9 8 6 5 4 4 4 5 6 7 9 9 9 10 9 9 8 6 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 1 5 14 22 29 39 48 58 71 79 82 86 95 104 108 106 103 105 108 106 104 106 108 106 104 104 107 99 91 87 86 89 93 98 101 98 94 92 91 88 86 83 83 84 84 83 79 81 81 75 67 60 54 49 46 46 41
2 2 2 4 7 10 10 10 10 9 8 8 8 8 8 7 6 6 7 6 7 10 12 13 14 15 15 15 14 13 13 11 10 9 9 7 5 3 2 2 1 3 3 4 5 6 8 8 8 8 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 1 6 14 24 31 40 49 58 69 79 84 88 98 109 111 109 115 121 126 127 126 125 124 122 119 123 121 114 108 104 98 93 95 101 105 103 97 92 89 86 84 83 83 84 86 87 83 82 81 78 73 67 61 55 50 50 48
0 0 0 1 3 6 6 6 6 7 7 6 5 5 5 5 5 5 5 6 6 7 8 9 9 10 10 10 10 9 9 9 9 8 7 5 3 2 1 0 0 1 1 2 3 4 5 6 8 9 8 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 2 8 16 26 34 39 50 57 67 79 88 94 105 116 121 128 139 146 148 148 145 140 140 140 136 137 135 133 130 126 118 106 102 107 113 111 103 95 90 87 84 84 85 83 83 86 87 85 82 79 76 71 68 65 59 57 54
0 0 0 0 1 3 4 4 4 4 5 5 5 5 4 5 4 6 7 6 6 6 6 7 7 8 8 7 7 7 8 9 8 6 4 3 1 0 0 0 0 0 0 0 1 2 3 3 4 6 5 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 1 4 10 18 27 34 40 49 58 69 82 94 104 115 126 143 164 173 171 169 169 167 164 167 167 165 158 150 145 144 143 137 129 125 126 130 127 118 108 102 97 91 89 90 87 85 86 87 88 88 84 79 75 72 69 66 64 60
0 0 0 0 0 2 2 1 1 2 2 2 2 3 2 2 2 3 3 4 4 4 5 6 7 7 7 7 7 7 7 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 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 1 6 13 18 29 35 40 49 60 74 90 106 123 134 156 187 205 201 190 193 200 199 198 201 200 193 179 165 157 156 160 160 160 160 163 158 150 143 138 132 124 112 101 100 100 98 95 91 87 91 93 85 81 76 72 71 70 66
0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 4 5 5 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 2 6 14 20 29 35 41 49 64 84 105 128 146 161 189 218 231 227 228 241 238 227 223 223 220 207 187 173 168 167 169 176 182 189 193 191 185 180 180 181 165 146 130 119 113 110 107 102 92 91 91 90 87 79 75 74 73 72
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 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 0 0 0 2 8 15 21 28 36 43 52 73 102 130 160 169 181 203 225 236 242 254 254 245 235 228 224 221 214 203 192 184 178 176 176 184 196 209 217 218 214 221 224 201 177 156 140 130 122 115 110 102 97 91 90 91 85 79 77 76 77
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