Vorticity
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nan 7 7 7 8 8 9 9 8 7 6 7 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 9 8 8 7 7 7 6 6 7 7 7 8 8 8 7 5 3 2 3 4 5 5 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 10 10 10 10 9 8 8 7 8 8 9 10 10 11 11 11 11 10 10 nan
nan 7 7 7 8 8 9 9 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 7 7 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 7 8 8 8 7 7 6 5 5 5 6 7 7 6 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 9 8 8 8 8 8 9 10 11 11 11 11 11 10 10 nan
nan 7 7 7 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 8 8 8 7 8 8 8 7 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 8 9 10 12 12 10 8 7 8 10 11 10 8 7 6 6 6 6 7 7 8 8 9 10 10 10 10 10 9 8 8 8 8 8 9 10 11 12 11 11 11 10 10 nan
nan 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 7 8 10 13 14 13 13 16 18 19 18 15 11 8 6 6 5 5 6 6 7 8 9 10 10 11 11 10 10 9 8 8 8 8 9 10 11 12 12 11 11 10 10 nan
nan 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 8 8 8 8 9 10 10 11 11 11 11 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 11 14 18 23 27 27 23 17 11 7 5 5 5 5 5 5 6 7 8 9 10 11 11 11 10 9 8 8 8 9 9 10 11 12 12 12 11 10 10 nan
nan 7 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 11 9 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 7 7 6 7 8 12 16 20 22 22 19 14 9 6 5 5 5 4 4 5 5 6 8 9 10 11 11 11 10 9 8 8 8 9 9 11 11 12 12 12 11 10 10 nan
nan 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 9 8 8 8 8 7 6 5 5 6 7 8 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 10 11 11 11 10 9 8 7 7 7 8 8 9 9 9 9 9 10 9 8 8 8 8 7 7 6 7 9 11 12 12 12 11 9 9 9 8 7 6 5 5 5 5 5 7 8 9 10 11 11 10 9 8 8 8 9 10 11 12 12 12 12 11 11 10 nan
nan 7 7 8 9 9 9 8 7 7 7 8 8 8 7 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 8 9 10 11 10 9 9 8 7 7 7 7 8 8 9 9 9 9 9 10 10 9 9 9 8 8 7 7 7 7 8 8 9 8 8 7 9 13 15 14 11 8 6 6 5 5 5 6 7 8 9 10 11 10 10 9 8 8 9 10 11 11 12 12 12 11 11 10 nan
nan 7 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 8 8 8 7 7 8 8 9 10 10 9 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 9 9 10 9 8 7 7 6 6 7 8 9 10 11 11 9 8 7 6 6 7 7 7 8 8 9 9 9 9 10 10 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 11 15 17 16 15 12 10 8 7 6 6 6 6 7 8 10 10 10 10 9 9 8 9 9 10 11 11 12 12 11 11 11 nan
nan 8 8 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 7 7 7 7 7 8 8 8 8 8 9 10 11 12 12 10 9 7 6 6 6 7 8 10 11 11 10 8 7 6 6 6 7 7 7 7 8 9 9 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 10 11 13 15 16 17 15 13 11 9 8 7 8 8 9 9 10 10 10 9 9 8 8 9 9 10 11 11 11 11 11 10 nan
nan 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 7 7 8 9 9 9 10 10 9 6 5 6 6 6 6 7 8 8 9 10 12 13 14 13 11 9 8 7 7 7 8 9 10 10 10 9 8 7 6 6 7 7 7 7 7 8 8 9 9 10 10 9 8 7 7 7 7 7 8 8 8 9 8 8 7 7 7 7 7 8 9 12 15 17 18 18 16 15 14 15 14 13 12 11 9 9 9 10 9 8 8 8 8 9 10 10 10 11 11 10 nan
nan 7 8 7 7 7 8 8 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 8 8 8 8 9 9 10 7 5 4 4 5 6 6 7 8 10 11 12 13 14 13 11 9 8 8 9 9 10 11 11 10 9 8 8 7 6 6 7 7 7 7 8 8 9 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 8 10 13 16 18 20 22 24 25 25 22 17 12 8 8 9 9 9 8 8 8 8 8 9 9 10 10 11 11 nan
nan 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 9 10 9 6 4 4 4 5 6 7 8 9 11 12 12 13 13 11 9 8 9 10 11 12 13 13 11 9 7 6 6 6 6 6 7 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 6 5 5 5 6 6 6 6 7 9 12 16 20 24 27 28 26 22 15 8 6 6 7 8 9 9 8 8 8 8 9 9 10 10 11 11 nan
nan 7 7 7 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 7 7 8 9 8 8 8 8 8 9 9 10 8 6 4 4 5 6 7 8 9 10 10 10 11 11 10 9 8 10 11 13 14 14 14 12 9 6 4 4 4 5 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 10 12 14 17 19 18 14 8 1 -0 2 4 5 7 9 9 9 9 9 9 9 9 10 11 11 11 nan
nan 7 6 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 8 8 8 9 9 10 11 11 9 7 5 5 6 7 7 8 9 9 9 9 9 9 8 8 10 12 14 16 15 13 11 8 5 3 2 3 4 5 7 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 8 9 9 9 9 8 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 9 10 10 8 2 -6 -9 -5 -0 3 6 8 9 10 10 10 9 9 9 9 10 11 11 11 nan
nan 7 6 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 7 7 8 9 10 11 12 12 10 8 6 6 6 7 7 7 8 8 8 8 8 8 8 9 10 13 14 14 11 9 6 4 2 1 2 3 5 6 7 8 8 8 7 7 7 8 9 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 7 3 -3 -9 -7 -1 4 7 9 9 10 10 10 10 10 9 9 9 10 11 11 12 nan
nan 7 6 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 7 8 9 10 11 11 10 8 7 7 7 6 6 6 6 7 7 8 8 9 9 9 10 11 11 9 6 4 2 2 3 4 5 6 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 9 8 8 9 9 9 8 8 8 8 9 8 8 8 8 7 6 5 6 7 7 7 5 0 -4 -4 2 9 14 14 13 11 10 10 10 10 10 9 9 9 9 10 11 12 nan
nan 8 7 6 6 7 7 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 10 10 9 8 8 8 7 6 5 5 6 6 7 8 8 8 8 8 8 8 7 5 3 2 3 4 6 8 9 10 9 8 7 6 6 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 6 5 5 5 7 7 7 5 2 3 9 18 24 24 22 18 15 13 11 10 9 9 9 9 9 9 10 10 11 nan
nan 8 7 6 7 8 9 9 9 9 9 8 7 7 7 7 8 8 9 9 10 10 10 9 9 10 9 9 8 7 8 8 6 5 4 5 6 7 8 9 9 9 9 9 9 8 6 6 6 6 6 6 7 7 6 6 6 6 5 4 3 3 4 5 7 9 10 11 11 10 10 9 8 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 7 7 7 7 6 6 7 7 6 6 5 6 7 8 8 8 9 14 22 28 29 27 24 22 20 16 12 9 9 8 8 8 8 8 9 9 10 nan
nan 8 7 7 8 9 9 9 9 8 8 7 6 6 7 8 8 8 8 9 10 10 10 9 9 10 10 9 8 8 9 8 5 4 4 5 6 7 7 8 8 9 10 11 10 8 7 7 7 7 5 5 5 5 5 5 4 5 4 4 3 4 6 8 9 10 10 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 10 11 11 10 8 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 10 13 17 21 22 21 19 20 22 21 16 11 8 7 8 8 8 8 8 8 9 9 nan
nan 8 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 9 10 10 10 9 8 9 9 9 8 8 8 9 8 7 6 6 6 6 7 7 7 8 9 11 11 10 9 8 9 9 9 7 5 5 5 4 4 3 4 4 3 4 6 8 9 9 9 8 7 8 9 10 10 10 9 8 7 7 7 8 8 8 7 7 6 6 6 7 8 8 8 9 10 10 10 8 6 5 6 7 6 6 6 6 6 7 7 7 8 8 8 9 10 11 12 13 13 12 11 11 13 15 15 13 8 6 5 6 6 7 7 8 8 9 9 nan
nan 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 7 8 8 9 10 10 8 8 8 7 6 6 7 9 10 11 10 9 9 9 10 9 8 7 7 7 6 5 4 4 4 4 5 7 8 8 8 7 6 7 8 9 10 10 10 10 8 7 7 8 9 9 8 7 6 6 5 5 6 6 6 7 7 8 9 8 7 7 7 8 8 8 7 7 7 6 7 7 7 8 8 9 10 11 11 11 10 8 7 5 3 2 3 4 3 1 2 3 4 6 7 7 8 9 9 9 nan
nan 8 8 8 8 7 7 7 7 7 6 7 7 8 9 9 8 8 9 9 9 9 9 9 8 7 7 7 7 7 8 10 11 11 10 9 8 6 6 6 7 8 9 9 9 9 9 9 8 7 7 8 9 10 9 8 7 7 6 6 6 7 7 7 7 7 6 7 8 9 9 10 11 11 10 8 8 8 9 9 9 8 7 6 5 5 5 5 5 5 6 7 7 8 8 10 11 11 10 10 9 8 7 7 7 7 7 8 9 10 11 11 11 10 9 7 3 -2 -7 -10 -11 -11 -11 -6 -2 2 4 6 7 8 9 9 9 9 nan
nan 8 9 9 8 8 8 8 8 7 7 6 7 8 8 8 8 9 9 9 8 8 9 10 9 8 7 7 7 7 8 9 10 9 9 9 7 6 6 6 7 7 8 8 8 8 9 9 9 8 8 9 10 10 10 9 9 9 8 7 6 5 6 6 7 7 7 7 8 9 9 10 11 11 11 11 11 10 10 10 10 10 9 8 8 7 7 7 6 6 6 7 7 8 9 10 11 11 10 10 9 9 8 8 7 7 7 8 10 11 11 10 9 9 9 7 2 -2 -7 -10 -11 -12 -10 -4 1 4 5 6 7 8 8 8 8 9 nan
nan 8 8 9 9 8 8 8 8 8 7 6 6 7 8 8 8 9 9 8 7 7 8 9 9 9 8 8 8 8 9 9 8 8 9 9 7 6 6 7 8 7 7 7 8 8 9 9 10 10 9 8 9 9 9 9 9 10 9 8 6 5 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 9 8 7 7 8 7 6 6 6 7 5 2 4 6 7 7 6 6 7 7 7 8 7 8 nan
nan 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 9 9 8 7 7 8 9 9 9 9 9 10 10 9 8 7 8 9 9 7 7 7 7 7 8 8 7 7 8 8 8 9 9 8 7 8 8 8 9 9 10 10 9 8 6 5 5 5 6 7 7 7 7 7 8 9 9 9 10 12 12 12 11 10 10 10 10 10 11 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 7 8 10 14 18 21 19 14 11 9 9 8 7 6 6 6 6 7 7 8 nan
nan 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 10 10 8 7 7 7 8 8 9 9 9 9 8 8 7 6 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 7 8 8 8 9 9 9 10 10 10 9 8 6 6 6 6 6 6 5 6 6 7 7 8 9 11 11 11 9 9 9 9 9 9 10 11 11 12 12 12 11 10 8 8 7 8 8 8 8 7 7 8 8 8 9 9 8 7 7 7 8 10 10 11 12 13 15 18 19 17 13 9 8 8 8 7 7 6 6 5 6 7 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
52 54 53 49 46 44 46 48 51 51 49 48 48 48 48 48 46 44 44 45 43 41 39 38 37 36 37 38 39 40 41 41 40 38 36 33 33 34 35 36 36 36 35 39 38 41 43 43 44 43 39 35 34 34 30 24 18 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 36 58 63 70 81 90 93 93 89 90 89 86 83 79 74 71 70 69 66 60 56 54 53 53 52 50 50 50 50 51 55 54 49 49 52 55 58 57 54 50 50 55 58 60 60 57 53 48 42 41 40 40
48 50 51 50 50 51 50 48 48 48 48 48 47 46 46 44 43 42 40 38 36 36 36 36 37 37 38 39 40 40 38 39 38 36 34 32 30 30 30 32 35 35 33 34 34 36 38 39 39 38 35 34 38 34 27 22 18 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 41 59 67 76 84 90 88 88 90 96 101 100 95 88 83 81 81 80 74 67 62 59 58 58 57 55 53 53 53 55 55 54 52 52 54 56 57 58 55 51 50 52 55 54 53 53 52 49 47 46 49 45
44 48 49 49 48 47 47 47 47 46 45 44 42 40 38 36 36 36 35 34 35 36 36 37 38 38 39 40 40 39 35 36 36 34 32 30 28 27 26 31 33 35 35 35 35 34 34 35 35 35 34 36 35 31 26 21 18 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 20 42 59 73 79 85 86 82 84 93 104 110 108 103 100 95 90 87 84 79 75 73 70 68 67 65 60 58 56 57 56 56 57 58 59 58 58 59 57 55 53 51 51 52 52 51 49 48 48 50 49 50 51
40 44 45 45 44 43 43 43 42 41 38 35 34 34 33 33 34 35 35 36 37 37 38 39 38 38 38 38 39 38 36 34 33 31 28 27 27 27 24 27 31 32 34 35 35 33 32 33 35 35 36 34 34 31 25 22 18 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 22 43 55 81 79 84 83 80 83 92 103 109 109 109 110 105 98 91 87 85 82 81 82 83 81 77 65 62 60 58 58 58 60 63 66 66 66 64 60 56 54 52 51 51 50 50 48 46 47 50 51 53 54
37 40 42 42 41 39 39 39 38 36 34 32 33 33 33 33 35 36 37 37 36 36 36 36 36 36 35 36 36 36 34 31 28 26 25 26 27 26 25 25 27 28 30 33 35 34 33 34 35 37 36 34 34 28 23 20 17 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 30 43 53 68 75 81 83 80 80 89 98 102 107 113 114 108 100 93 90 88 88 91 95 94 91 87 74 66 63 61 60 60 62 67 70 71 70 66 64 59 56 54 53 52 51 50 49 48 48 48 50 54 57
35 36 38 38 38 36 35 35 34 34 34 33 33 35 36 36 37 35 35 35 33 32 32 33 34 34 33 32 32 31 29 26 25 25 25 26 24 22 23 25 26 27 28 30 32 33 34 35 36 36 35 33 29 24 20 18 14 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 36 43 52 66 75 77 80 80 79 85 93 99 106 112 112 107 100 94 90 90 92 94 95 95 95 94 84 73 66 63 62 62 65 69 71 72 71 66 63 62 60 58 57 54 51 52 52 50 49 48 48 50 55
36 34 33 34 34 33 32 32 33 36 38 39 36 39 39 36 32 29 32 34 34 34 33 32 31 30 30 29 28 26 24 24 24 26 24 20 16 19 21 23 24 26 27 28 28 30 30 32 34 34 32 28 24 20 18 15 11 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 24 39 45 51 64 73 75 75 78 78 79 84 92 101 109 111 107 100 94 91 91 92 90 90 93 96 100 97 86 73 66 64 65 68 72 73 73 71 67 65 64 64 64 63 58 55 53 52 51 51 50 49 48 48
35 35 33 32 32 32 32 33 35 38 39 40 38 39 36 33 31 31 33 33 31 31 30 30 28 27 27 26 24 23 23 24 25 25 21 17 18 20 21 20 20 22 24 26 26 27 26 27 28 27 26 24 22 19 16 12 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 26 38 45 51 62 73 76 76 78 77 72 75 80 91 103 107 105 100 95 91 90 91 92 94 96 98 103 106 99 87 78 75 73 74 77 77 76 74 71 70 68 66 66 65 62 59 57 54 51 51 52 52 51 49
32 36 34 33 33 33 34 34 36 36 34 34 32 32 32 32 31 30 29 28 27 26 26 25 24 23 23 23 23 24 24 25 24 21 18 19 18 18 19 19 18 19 21 22 25 24 25 24 25 24 23 21 19 16 13 10 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 28 38 46 54 63 71 77 80 82 77 69 70 74 83 92 99 101 100 98 96 96 96 97 99 100 101 104 108 107 102 95 91 88 86 85 84 82 80 77 75 71 67 66 66 65 63 61 58 53 52 52 53 53 50
27 30 32 32 33 33 33 33 33 32 30 31 31 31 30 29 27 26 26 26 24 22 23 23 23 23 22 24 25 25 24 23 21 18 17 16 14 14 16 17 17 17 18 20 22 22 24 23 23 22 21 19 17 14 10 7 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 31 40 48 57 63 68 75 80 86 79 70 70 74 79 85 91 95 98 100 100 97 94 95 99 104 108 110 114 119 118 114 110 106 103 100 96 92 87 83 80 77 73 70 68 67 68 68 65 61 57 55 54 54 52
22 26 27 28 28 27 27 28 29 29 29 30 29 27 26 25 24 23 23 24 23 24 24 23 23 23 24 25 25 24 21 18 17 15 16 14 12 12 13 14 14 15 16 18 19 21 21 22 21 21 19 17 15 11 7 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 34 42 49 59 68 70 72 80 86 80 74 74 77 80 83 90 94 97 102 101 96 94 99 108 114 119 125 127 124 120 120 122 121 120 118 115 108 101 94 89 86 83 78 73 71 72 74 73 70 64 62 60 60 61
18 21 23 26 26 25 24 25 26 26 26 24 23 22 22 22 21 21 22 21 20 20 20 20 20 21 22 23 22 20 18 17 16 15 14 11 10 10 11 10 11 13 15 17 17 17 19 19 18 17 15 13 11 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 6 22 37 44 50 62 67 68 71 79 82 78 76 75 76 80 88 95 98 101 106 105 104 112 123 126 128 137 150 151 142 130 122 119 122 126 127 126 123 117 108 104 100 96 89 82 79 76 73 77 78 76 73 70 69 68
14 16 20 23 24 23 22 22 21 22 21 21 20 20 20 20 20 19 18 18 19 19 18 19 18 18 18 18 17 17 16 16 15 13 11 9 9 9 9 9 10 11 12 14 14 15 16 17 16 14 13 12 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 2 13 29 41 48 54 65 65 69 75 80 81 78 75 74 78 87 96 103 106 108 111 113 122 140 153 149 145 161 175 173 166 160 152 139 126 123 123 126 126 122 114 106 103 100 96 92 89 86 79 81 85 86 86 85 81 75
11 11 15 18 20 20 19 19 20 19 19 19 20 19 18 17 16 17 18 18 17 17 18 17 16 15 15 15 15 15 14 14 12 10 8 7 6 6 6 6 6 8 9 10 11 12 13 14 13 12 11 10 8 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 5 18 33 43 48 58 66 69 74 80 83 84 81 79 79 87 97 106 115 118 118 119 126 142 162 175 163 153 164 173 175 176 176 174 164 137 133 129 131 133 129 120 109 100 97 98 97 95 97 94 92 91 93 95 95 91 84
6 7 9 12 15 17 16 16 17 17 16 16 15 14 14 13 12 13 14 14 14 14 14 13 13 13 13 12 12 13 12 12 10 8 6 5 4 4 4 3 3 5 6 8 8 9 10 10 10 10 9 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 1 9 22 35 44 49 58 67 72 76 79 84 87 85 84 86 98 111 119 129 134 136 141 152 165 177 178 160 151 150 157 168 172 175 182 172 153 143 139 142 148 149 140 126 114 108 110 107 103 102 100 98 97 98 100 100 97 91
4 4 5 7 11 13 12 12 13 13 12 12 11 11 13 12 10 10 10 12 12 12 12 11 11 11 11 11 11 11 10 10 8 7 5 4 3 2 2 1 1 3 4 5 6 6 7 7 7 6 5 4 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 3 12 26 36 45 52 58 67 73 76 81 86 88 90 88 96 111 125 130 138 150 161 170 174 174 170 156 153 149 146 151 160 165 168 177 178 173 168 160 156 157 156 152 149 136 127 129 125 120 115 108 100 101 105 104 101 98 95
3 3 2 2 5 9 8 8 10 10 10 10 11 11 10 10 9 11 10 11 11 11 11 11 11 10 10 10 10 10 8 6 5 5 3 2 1 0 0 0 0 1 2 3 3 4 5 5 6 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 1 5 15 26 35 46 53 57 65 72 77 81 85 90 92 92 104 122 134 139 150 169 182 186 180 171 173 176 171 162 156 157 159 160 160 167 176 182 185 181 175 172 177 187 181 164 154 149 146 144 139 125 107 106 108 107 102 96 93
1 1 1 0 2 5 6 6 7 8 8 8 8 8 7 7 7 7 8 9 9 9 10 10 9 9 8 8 8 7 5 4 4 3 2 1 0 0 0 0 0 0 0 1 1 2 3 3 4 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 1 7 17 25 33 45 54 57 61 68 75 79 82 90 90 95 110 129 141 153 175 193 193 181 167 170 185 196 192 180 175 176 174 165 158 148 152 166 175 180 182 181 181 189 199 194 184 174 167 164 162 155 133 121 113 109 103 97 93
1 1 1 1 2 4 4 4 5 6 5 5 5 5 4 4 4 4 5 6 7 7 7 7 7 7 6 5 5 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 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 0 2 8 17 23 32 41 50 57 59 63 71 76 79 90 92 101 118 137 152 169 194 209 196 178 171 179 192 201 200 193 193 195 193 183 177 171 167 167 171 177 180 181 180 189 197 201 202 201 196 186 182 175 159 139 125 116 109 102 98
1 1 2 2 2 2 2 1 3 3 3 3 4 4 4 3 3 3 4 4 5 5 4 4 5 5 4 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 0 0 0 2 10 18 23 31 38 45 52 60 61 66 73 80 89 96 108 129 146 156 188 212 215 197 183 179 184 194 201 205 209 213 215 211 201 195 192 189 186 185 186 187 183 177 172 171 178 191 209 224 217 203 186 173 155 140 129 121 114 107
0 1 1 1 1 0 0 0 1 2 2 2 1 1 1 1 1 3 4 4 4 4 4 4 4 4 3 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 0 3 10 17 23 30 38 43 48 57 61 65 69 77 90 100 115 137 148 160 201 227 220 205 192 188 194 203 212 220 228 227 226 220 211 203 197 194 196 199 196 188 183 178 166 156 158 168 192 221 231 223 212 194 172 153 140 131 126 119
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 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 4 10 17 23 29 36 43 45 50 57 63 68 77 92 107 125 144 151 168 202 227 229 213 198 196 207 218 224 230 230 228 226 222 212 201 194 191 194 200 199 193 188 183 174 162 160 164 174 195 220 229 223 206 185 162 143 133 132 130
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 23 29 33 41 45 49 54 62 69 80 95 112 134 155 160 173 190 218 222 211 203 209 224 233 236 237 233 230 227 221 209 197 191 185 184 191 199 201 196 187 178 174 179 186 181 180 195 213 223 215 193 167 146 136 134 134
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 29 32 37 45 49 53 61 69 83 101 119 142 162 159 168 187 211 220 217 219 229 237 235 243 245 239 230 224 219 207 198 196 194 189 185 190 197 197 187 175 176 197 213 204 191 188 193 203 210 197 175 157 145 141 140
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 20 28 32 33 42 47 52 61 72 86 103 122 145 168 168 172 195 220 227 226 238 243 249 249 251 245 234 223 215 211 200 196 193 187 179 174 178 187 192 187 175 176 202 223 224 210 191 179 184 201 189 176 166 157 149 144
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 27 30 31 38 45 51 60 75 93 109 121 152 181 190 195 208 223 228 232 246 245 247 255 262 257 246 232 213 207 199 189 178 167 160 160 166 173 179 182 184 189 206 223 231 223 195 179 175 178 177 178 176 168 159 149
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 14 15 26 29 33 39 44 50 59 78 110 125 134 165 195 210 210 212 227 232 236 243 250 253 262 278 285 271 246 226 215 199 184 172 166 164 164 169 173 183 200 208 214 221 222 225 226 196 181 179 181 184 188 185 175 165 158
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 16 24 29 33 38 44 51 62 95 138 152 170 198 222 233 229 224 244 251 246 247 269 274 270 284 293 277 256 248 237 221 203 189 183 185 195 209 203 203 210 221 235 241 230 224 224 201 190 191 195 197 195 188 182 181 180
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 17 23 28 33 38 44 52 64 111 150 168 181 201 231 263 270 254 265 270 270 269 291 312 313 301 279 270 272 280 274 254 228 210 213 223 243 250 235 220 210 211 230 257 256 244 235 220 208 201 204 209 206 201 192 197 199
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