Vorticity
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nan 7 7 7 8 8 9 9 8 7 6 7 7 7 7 7 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 7 6 5 6 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 6 4 4 3 4 4 4 5 5 4 4 4 5 5 6 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 nan
nan 7 7 7 8 8 9 9 7 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 8 7 6 6 6 7 8 8 9 9 9 10 9 8 7 6 6 6 5 5 5 5 6 6 7 8 8 8 8 7 5 4 4 5 6 6 5 5 5 5 6 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 nan
nan 7 7 7 8 8 9 9 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 10 9 7 7 6 6 6 5 5 5 5 6 7 9 11 14 14 12 9 7 7 9 10 9 8 7 5 5 5 6 7 8 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 nan
nan 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 8 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 9 9 8 8 7 7 7 7 6 6 6 6 6 7 10 14 15 14 14 16 18 19 18 15 11 8 5 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 nan
nan 7 8 8 8 8 8 8 6 6 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 7 7 7 8 7 7 7 8 8 8 8 9 9 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 11 12 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 8 9 11 14 19 24 27 26 23 17 11 7 5 4 4 4 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 nan
nan 7 8 8 7 7 8 7 6 6 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 8 7 7 8 8 8 9 9 8 8 8 9 10 11 12 12 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 8 12 17 20 22 22 19 14 9 6 5 5 4 4 5 5 6 7 8 9 10 10 10 11 11 10 10 10 10 10 11 11 10 9 9 8 8 8 8 nan
nan 7 7 8 8 8 8 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 9 8 8 8 8 7 6 5 6 6 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 8 8 7 7 7 8 8 9 9 9 9 8 8 9 9 10 11 11 11 11 10 9 9 8 8 9 9 9 9 9 9 9 10 10 9 8 8 8 8 7 7 7 9 11 12 12 12 10 9 9 9 9 7 6 6 5 5 6 6 7 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 nan
nan 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 7 7 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 11 11 10 9 8 7 7 7 7 8 8 8 9 9 9 8 9 9 10 10 10 10 9 8 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 9 12 15 14 12 9 7 7 6 6 6 6 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 nan
nan 7 8 9 9 9 8 8 7 7 7 7 8 7 7 7 7 7 8 8 9 10 9 9 8 7 7 7 7 8 8 8 8 7 8 9 9 9 9 9 8 8 8 7 7 8 9 9 10 11 11 10 9 8 8 8 9 10 10 9 9 8 8 8 8 9 10 11 11 10 8 7 6 6 6 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 11 15 17 17 15 13 11 9 8 8 7 7 6 7 8 9 10 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 nan
nan 8 8 9 9 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 9 9 9 9 8 7 7 8 8 9 9 8 8 7 7 8 9 9 9 9 9 9 8 7 7 8 8 9 9 10 9 8 8 9 10 11 12 13 12 10 9 8 7 7 8 9 10 10 10 8 7 6 5 6 7 7 8 8 9 9 9 10 11 11 11 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 10 12 13 15 17 17 16 13 12 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 8 8 7 7 nan
nan 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 10 12 13 14 14 12 11 9 8 8 8 10 10 10 9 7 6 5 5 6 7 7 8 8 8 8 8 9 9 10 10 11 10 9 9 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 12 15 17 18 17 16 15 16 16 16 15 13 11 9 9 10 11 11 11 11 10 10 10 10 9 9 8 8 7 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 8 8 7 6 7 8 8 8 8 9 9 8 7 7 8 8 8 9 9 9 8 6 6 6 6 6 7 7 8 9 10 11 13 14 13 12 11 10 10 10 11 11 11 10 8 6 5 5 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 7 6 6 6 6 6 8 10 12 15 17 20 22 25 27 26 23 18 12 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 nan
nan 7 7 7 7 7 8 9 9 8 8 8 8 8 9 9 10 9 9 8 8 8 8 7 7 6 7 7 7 8 8 9 9 8 7 7 7 8 8 9 9 9 7 6 5 5 6 6 7 8 9 10 11 12 13 13 11 10 10 11 12 13 13 13 11 9 6 4 4 5 6 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 6 5 5 5 5 5 5 6 9 12 15 19 24 27 28 27 23 16 8 6 5 6 8 9 9 10 10 10 10 10 10 10 10 10 9 nan
nan 7 7 6 7 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 8 7 6 5 6 6 7 8 9 10 10 10 11 11 10 9 10 11 13 15 15 13 12 9 6 3 3 3 5 7 8 8 8 8 8 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 7 7 6 6 6 6 6 5 5 6 7 8 9 11 13 16 18 18 15 9 2 0 2 3 5 7 9 9 10 10 10 10 10 11 11 11 11 10 nan
nan 7 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 8 8 9 9 10 11 11 9 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 11 13 15 16 14 11 8 5 3 2 2 4 6 7 8 9 8 8 6 6 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 7 6 7 7 8 8 8 8 9 9 9 7 2 -5 -9 -4 0 4 6 8 9 10 10 10 10 11 11 11 11 11 11 11 nan
nan 7 6 6 7 7 8 8 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 6 7 7 8 9 10 10 11 11 10 8 7 6 7 7 7 8 8 8 8 8 8 8 8 9 11 13 14 12 9 6 4 2 2 3 4 6 7 8 8 8 8 7 6 5 6 7 9 10 10 9 9 9 9 8 8 8 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 2 -3 -8 -6 -0 5 8 9 9 10 10 10 11 11 11 11 11 11 12 12 12 nan
nan 7 6 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 6 6 6 7 8 9 10 11 11 10 8 7 7 7 6 6 6 7 7 7 8 8 8 8 9 10 11 10 7 4 2 2 3 4 6 8 9 9 8 7 7 6 6 6 7 7 8 10 10 10 9 9 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 6 4 -0 -4 -4 3 11 15 15 13 11 10 10 10 10 10 10 11 11 11 12 12 12 nan
nan 8 7 6 6 7 8 9 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 6 5 5 6 7 8 9 9 9 9 8 8 7 7 6 5 6 6 6 7 8 8 8 8 8 8 7 5 3 2 2 4 6 8 10 11 11 10 9 7 6 6 6 7 8 8 9 9 10 10 9 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 5 5 5 6 6 6 4 2 2 9 19 25 26 23 19 16 13 11 10 10 10 10 10 11 11 11 11 12 nan
nan 8 7 7 7 8 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 9 9 8 7 7 7 5 4 5 5 6 7 8 8 8 8 9 9 9 8 7 6 6 6 6 6 7 7 6 6 6 6 5 3 3 3 4 6 8 10 11 12 11 10 9 8 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 8 9 9 9 9 10 10 10 9 9 8 8 9 9 9 8 8 8 7 6 5 5 5 6 6 6 8 13 22 28 30 27 25 23 21 16 12 10 9 9 10 10 10 10 10 11 11 nan
nan 8 7 7 8 9 9 9 9 8 8 7 6 6 7 7 8 8 9 9 10 10 9 9 9 9 9 9 7 7 8 8 6 4 5 5 6 7 7 7 8 9 10 11 10 9 8 7 7 6 5 5 5 5 5 4 4 4 4 3 3 4 6 8 9 10 10 9 9 9 9 9 9 8 8 7 8 8 8 9 9 8 8 7 7 7 8 8 8 8 9 10 11 11 10 8 7 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 9 11 16 20 21 20 20 21 23 21 17 11 8 8 9 9 9 9 9 10 10 10 nan
nan 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 8 9 10 10 9 8 8 8 9 8 8 7 8 9 8 7 6 6 7 7 7 7 7 8 9 11 12 11 10 9 9 10 9 7 5 5 4 4 4 4 4 4 3 4 5 7 8 9 8 7 7 8 9 9 9 9 9 8 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 8 9 9 9 8 6 5 6 7 7 8 8 8 8 7 7 8 8 7 8 8 9 10 10 11 11 11 10 11 14 16 16 13 8 7 7 7 8 9 9 9 9 10 10 nan
nan 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 9 10 10 9 8 8 7 6 7 7 8 10 11 11 10 10 10 10 9 8 7 7 7 6 5 4 4 4 4 4 6 7 7 7 7 6 6 8 9 9 9 9 9 7 7 6 7 8 8 8 7 6 5 4 4 4 4 5 5 6 7 7 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 7 6 5 4 3 4 4 3 1 3 4 6 7 9 10 10 10 10 10 nan
nan 8 8 8 8 8 7 7 7 7 6 6 7 8 8 9 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 10 11 10 9 9 8 7 6 6 7 8 9 10 10 10 10 10 9 6 6 8 9 10 9 7 6 6 5 5 5 6 7 7 7 6 6 7 8 9 9 9 10 9 8 7 7 8 8 8 8 7 6 5 4 3 3 3 4 4 5 6 6 7 7 9 11 11 11 10 10 9 9 8 8 8 8 8 10 11 11 11 11 10 9 8 4 -1 -5 -9 -9 -10 -11 -6 -1 2 5 8 10 10 11 11 11 11 nan
nan 8 9 9 8 8 8 8 8 7 7 6 7 7 8 9 9 9 9 9 8 8 8 9 9 8 8 7 7 7 8 9 9 9 9 9 7 6 6 7 7 8 8 9 9 10 10 11 10 8 8 9 10 11 10 9 8 8 7 7 6 5 6 6 7 7 7 7 9 9 8 9 10 10 10 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 7 7 7 7 9 10 11 11 11 10 10 9 9 8 8 7 7 9 10 11 11 10 10 10 10 8 4 -2 -6 -10 -11 -12 -10 -4 1 4 6 8 10 11 12 13 13 12 nan
nan 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 7 7 8 9 9 9 8 8 9 9 9 9 8 9 9 9 7 6 6 7 8 8 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 8 7 5 5 5 6 6 7 7 8 7 8 8 9 9 9 10 11 11 10 10 9 9 9 9 10 10 10 11 11 10 9 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 7 6 6 6 5 4 1 3 4 5 5 6 8 9 11 12 13 13 14 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 7 7 8 8 9 9 9 9 9 9 9 8 7 8 9 9 7 6 7 7 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 10 10 10 9 7 5 5 5 6 6 6 6 6 6 7 8 8 8 9 11 11 11 10 9 9 9 10 11 11 12 12 13 12 10 9 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 9 7 7 7 8 8 7 8 10 13 17 19 16 12 9 7 6 6 6 7 9 10 12 13 14 15 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 10 10 8 7 7 7 7 8 8 9 8 8 8 7 7 6 7 8 8 8 8 8 8 7 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 9 9 10 10 10 9 7 6 5 6 6 6 6 5 5 6 6 7 7 9 10 10 10 8 8 8 9 9 10 11 11 11 11 11 10 10 9 8 7 6 6 6 7 7 7 7 7 7 8 9 10 9 8 7 7 9 10 11 11 11 13 15 17 18 15 10 7 6 6 6 6 7 7 9 10 12 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 34 37 38 41 41 41 41 41 40 40 40 39 40 43 44 41 41 47 53 55 62 64 63 64 64 65 63 58 53 46 42 40 37 37 37 36 33 29 28 30 31 30 29 30 32 34 34 33 33 32 29 25 23 19 17 13 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 9 33 50 51 57 67 77 86 85 82 81 81 77 68 60 56 52 50 49 51 51 48 45 44 42 40 38 35 33 30 29 27 25 26 30 35 37 39 39 38 37 39 41 44 47 48 46 40 36 34 31 28 25
30 35 38 38 38 37 39 39 39 39 40 41 41 42 42 42 39 41 45 50 54 56 57 58 57 55 54 52 48 44 40 39 37 36 36 35 33 30 28 30 32 33 32 32 33 33 33 32 30 28 26 24 23 21 16 13 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 37 52 56 60 68 79 88 85 81 80 80 78 72 65 62 58 57 57 60 61 60 57 53 49 47 45 43 41 38 33 30 27 27 31 36 40 42 42 41 38 38 39 41 44 48 49 44 39 35 34 31 27
28 33 36 36 36 36 36 36 36 36 37 38 40 41 42 44 46 48 47 48 49 50 49 49 48 47 45 43 43 41 39 37 36 35 33 31 29 29 30 31 30 31 30 31 31 31 30 29 27 27 25 24 22 18 14 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 36 48 56 66 69 78 87 88 85 82 82 83 79 73 70 67 67 67 68 70 71 70 67 60 54 52 49 48 46 42 37 33 32 35 38 42 44 44 43 42 41 41 41 43 45 48 47 44 39 37 33 29
27 31 33 33 33 33 32 32 32 32 33 34 36 37 38 40 40 40 40 40 41 42 43 44 44 43 41 40 40 38 37 36 34 32 31 31 30 28 28 27 28 28 28 29 28 27 27 26 25 26 24 20 16 13 11 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 34 47 52 67 70 77 85 90 88 83 82 84 86 85 81 77 74 75 78 79 78 76 73 68 63 60 57 56 53 50 46 42 41 41 42 44 46 46 47 45 44 45 45 43 43 45 46 46 43 40 35 31
27 28 30 30 30 30 30 29 29 29 29 30 32 33 34 36 36 36 37 38 40 41 41 40 41 40 39 37 36 35 34 33 32 31 30 28 26 24 23 24 25 26 27 27 26 25 26 26 26 26 22 18 15 13 11 8 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 24 32 49 53 63 69 76 84 90 90 83 80 82 87 89 85 81 79 82 88 91 90 87 82 77 73 69 68 67 66 64 59 55 54 51 50 49 47 49 50 49 48 48 48 46 45 43 42 44 44 42 39 35
28 28 28 28 28 29 29 28 28 29 29 30 30 32 34 36 37 39 40 39 40 40 37 36 37 38 36 35 33 33 33 32 30 29 25 23 22 23 24 24 24 24 24 25 26 26 26 25 25 25 22 19 16 12 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 30 34 47 57 64 69 74 81 87 88 81 78 81 86 90 85 85 90 96 101 104 104 103 97 92 88 85 83 83 81 76 75 71 68 66 63 60 58 56 54 53 52 52 49 47 44 42 41 42 43 43 43 39
29 31 30 29 29 29 29 30 30 30 31 32 31 33 34 36 39 40 38 37 36 34 33 33 34 33 32 31 31 30 30 29 26 25 23 22 21 20 19 21 22 23 23 24 25 26 27 26 26 24 21 18 15 11 8 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 3 15 29 38 45 55 66 72 75 80 85 86 80 75 78 89 94 93 98 108 116 120 121 117 115 110 106 101 96 96 102 103 101 95 89 83 78 75 72 68 63 58 56 54 53 50 47 45 44 43 42 42 43 44 43
30 33 33 31 31 30 30 30 31 30 30 29 30 32 32 31 31 32 32 31 32 34 33 31 29 28 27 26 26 25 25 24 23 23 23 21 16 16 18 23 25 24 24 24 25 27 26 26 26 23 21 18 14 11 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 6 17 29 39 45 53 64 72 75 79 83 86 78 75 81 93 100 105 114 128 138 138 136 133 131 127 122 115 108 108 117 121 122 117 109 100 91 85 82 79 75 71 65 60 56 53 50 47 45 44 43 43 43 44 45
27 31 33 33 32 31 30 30 30 29 26 24 26 27 28 29 29 29 27 26 27 27 26 24 23 21 21 21 22 22 22 22 22 20 19 19 18 17 17 21 22 21 22 23 24 26 25 24 24 23 20 17 15 11 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 20 30 40 47 53 61 71 77 77 80 87 82 81 90 101 106 110 124 143 157 156 148 141 140 142 139 132 126 124 126 127 124 128 122 114 107 100 94 87 83 82 77 71 64 59 54 49 47 45 45 44 44 44 44
24 26 29 30 30 30 30 30 28 26 23 24 25 25 26 25 23 21 21 21 22 21 20 19 19 18 19 20 20 21 21 21 20 18 18 18 16 15 15 16 16 15 17 20 22 24 24 22 21 20 19 17 14 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 22 31 40 48 55 61 69 79 76 79 86 86 89 100 109 111 117 132 150 167 172 159 145 143 147 150 148 143 134 131 128 128 129 124 119 116 113 108 99 91 87 84 79 73 68 63 58 52 50 47 46 46 45 44
19 22 25 26 27 28 28 27 26 24 24 23 23 23 23 23 21 20 19 18 19 18 17 18 17 17 17 17 18 19 19 17 18 17 16 14 14 14 14 16 15 13 14 17 20 22 21 19 18 18 17 16 14 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 24 33 41 48 55 61 64 75 77 81 87 91 98 111 119 117 125 138 154 168 174 164 154 155 161 162 156 149 145 140 133 129 124 120 117 114 113 117 115 104 96 91 86 81 77 73 70 67 60 53 49 48 47 46
14 17 20 23 25 25 25 26 24 23 23 23 22 21 22 21 19 18 18 17 18 18 18 16 15 15 14 15 16 17 18 17 17 15 14 14 13 12 12 12 10 11 12 15 18 18 17 17 17 18 16 13 11 8 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 4 15 26 34 41 49 57 64 63 70 76 82 89 96 106 124 127 127 132 143 157 167 174 176 173 167 165 159 150 145 146 148 143 134 129 125 122 117 112 118 119 116 111 104 97 92 87 82 79 80 71 63 57 53 50 48
9 12 15 19 22 23 24 25 24 22 21 21 19 19 20 18 15 14 14 13 14 14 13 13 12 12 12 13 14 15 15 14 12 12 12 11 12 10 9 9 8 8 10 12 14 14 14 14 14 14 12 10 8 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 1 8 19 28 35 40 45 55 62 64 68 75 82 92 102 119 136 135 133 136 145 157 166 170 171 171 171 169 161 148 141 141 145 148 147 143 141 137 134 127 121 118 118 119 115 110 106 101 94 87 84 79 73 68 63 56 50
6 8 11 15 18 21 22 22 21 20 18 19 18 18 16 15 13 12 11 11 11 11 11 12 11 11 12 12 13 13 13 11 11 10 9 8 8 7 7 8 8 7 8 9 10 10 11 11 11 11 9 8 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 0 3 12 21 28 38 41 43 51 58 61 68 76 85 95 112 137 151 138 136 137 147 159 166 169 168 168 171 170 161 149 141 138 144 154 156 156 157 155 156 156 149 140 134 129 123 118 117 119 115 105 95 88 81 77 72 66 55
4 5 7 10 14 18 18 18 18 17 16 16 15 14 14 14 12 11 9 11 10 12 12 12 11 10 9 10 11 11 11 10 10 8 6 6 6 5 4 4 4 4 5 6 7 8 8 9 10 10 8 7 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 1 5 14 22 28 41 46 45 50 55 59 68 80 90 101 124 155 166 150 141 141 151 164 173 178 176 174 175 168 158 150 142 134 133 141 145 152 154 158 163 170 171 169 165 155 142 130 128 132 130 124 116 104 90 84 79 73 65
2 2 2 4 9 13 14 14 14 13 13 12 12 12 12 11 10 8 8 11 10 10 10 9 9 8 8 8 9 10 10 8 7 6 5 4 3 2 1 2 1 2 3 4 5 6 6 7 7 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 1 7 16 22 27 39 50 47 50 55 62 73 86 98 109 133 164 172 159 143 141 152 168 185 193 185 177 171 165 158 152 144 134 128 131 138 144 148 152 157 163 168 173 181 181 176 157 150 147 146 145 138 123 105 93 84 78 72
1 1 0 1 4 9 10 10 10 11 11 11 11 10 9 7 6 4 5 7 8 8 7 7 8 8 8 8 7 8 8 6 5 4 3 2 1 0 0 1 0 1 2 2 2 2 3 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 2 9 16 22 27 38 52 51 51 56 64 76 92 103 111 137 163 168 154 141 141 153 172 194 200 190 173 167 164 158 152 145 140 137 138 143 146 147 149 152 155 158 166 175 180 187 184 179 172 166 162 156 140 125 108 92 83 78
0 0 0 0 1 5 7 7 7 8 8 8 7 6 6 5 5 4 4 4 5 6 7 7 6 7 6 6 6 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 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 1 4 10 16 22 29 37 49 52 52 55 64 77 96 105 115 141 164 168 157 145 143 155 175 195 203 201 196 189 175 162 155 151 154 158 163 162 159 158 158 158 156 155 152 152 161 174 187 197 199 194 182 167 151 136 121 104 91 84
0 0 0 0 1 2 3 4 4 6 6 5 5 6 5 4 3 2 3 4 4 5 5 5 4 5 4 4 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 4 10 16 22 28 35 43 51 55 59 69 82 101 109 119 139 161 171 162 147 145 156 175 193 202 202 203 200 189 174 164 165 170 177 180 178 176 175 173 170 165 161 149 143 147 155 168 185 203 213 209 190 166 144 130 118 107 95
0 0 0 0 0 1 1 2 2 3 3 3 3 3 2 2 1 1 0 2 2 2 2 2 3 3 3 3 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 0 0 0 0 0 0 0 0 0 2 6 11 16 22 27 32 39 47 53 59 71 88 101 109 117 135 161 178 173 157 151 159 174 189 196 200 205 208 199 184 175 184 190 193 196 198 197 190 184 183 179 172 163 154 149 146 149 164 188 206 218 216 180 147 134 130 125 117
0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 1 1 0 0 1 1 1 2 1 2 2 1 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 2 8 12 17 23 27 31 36 42 50 59 70 83 98 108 114 128 153 180 180 166 158 161 175 190 199 204 210 211 198 190 189 200 204 204 207 213 211 199 189 187 182 177 173 168 158 149 149 161 179 190 206 216 192 157 140 136 138 137
0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 18 24 28 32 35 39 48 64 76 90 105 114 120 131 151 172 176 171 162 161 173 194 212 219 213 207 201 205 206 205 204 207 213 217 215 203 192 184 178 173 172 172 163 152 151 163 181 188 197 203 195 174 151 141 143 145
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 19 24 27 32 36 39 52 71 83 99 115 124 130 135 145 167 173 173 166 161 167 184 209 233 229 233 233 225 217 209 208 216 228 230 221 206 193 184 175 167 166 169 165 156 156 168 185 191 192 196 201 194 166 153 150 149
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 20 25 28 34 40 44 46 64 81 98 116 128 139 147 145 164 174 173 167 163 165 179 208 239 246 244 237 229 220 214 217 226 236 238 227 207 193 182 170 161 160 160 160 163 169 180 190 194 191 186 198 201 176 157 150 149
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 21 25 28 33 45 50 49 60 78 97 116 130 149 163 168 174 174 172 173 179 182 195 219 241 249 249 243 232 224 222 226 229 237 242 235 217 201 190 177 166 162 155 158 171 184 193 197 196 184 166 184 192 177 157 151 155
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 16 22 27 29 34 42 52 59 61 61 80 124 150 163 170 182 192 189 182 194 205 218 229 242 257 261 255 251 248 260 272 276 282 279 273 264 248 235 235 227 213 196 179 171 177 192 209 217 193 168 158 163 170 170 169 172 176
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 13 16 22 26 29 33 40 49 57 63 60 77 112 136 151 162 183 207 208 203 212 223 233 243 261 278 279 271 271 270 264 273 292 314 321 306 280 253 247 262 258 239 214 193 181 184 189 203 211 196 174 161 162 167 172 175 177 178
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 14 20 25 28 32 37 46 54 57 63 82 109 133 153 171 193 217 218 221 233 247 250 258 274 284 287 293 294 282 264 268 291 320 333 316 289 275 281 288 284 268 240 208 187 192 191 204 214 212 193 174 171 177 184 182 178 178
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