Vorticity
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nan 6 6 5 5 4 4 4 3 4 4 4 5 5 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 7 8 9 10 11 10 9 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 8 7 7 6 6 7 8 9 9 8 7 6 6 5 4 3 3 3 4 4 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
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nan 8 8 7 7 6 6 7 10 11 10 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 8 7 6 5 5 7 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 10 10 9 8 8 9 9 9 10 11 12 12 12 11 10 9 7 6 6 6 6 6 5 5 5 6 7 8 10 13 15 15 15 15 15 15 15 16 16 16 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 7 7 7 7 6 6 8 10 11 10 9 9 8 8 8 8 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 8 8 7 6 5 6 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 12 11 10 8 7 7 7 7 7 7 7 7 7 8 7 6 6 8 10 12 14 16 16 16 15 16 17 17 16 16 15 14 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 nan
nan 5 5 6 6 6 7 9 11 11 10 9 9 8 8 8 8 7 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 8 8 7 6 6 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 10 11 12 12 12 12 11 11 9 8 7 6 5 6 7 7 8 8 8 9 10 10 8 5 5 6 7 9 11 14 15 15 16 17 18 18 17 16 16 15 14 13 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 5 5 6 6 6 7 10 12 12 10 9 9 9 8 8 8 7 7 7 7 8 8 8 7 6 7 8 9 9 8 8 7 7 8 9 9 9 9 9 8 8 7 7 8 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 9 10 11 12 12 12 12 12 10 9 8 7 5 5 6 7 8 8 9 9 10 11 9 7 6 6 7 7 7 9 12 12 13 14 14 15 15 15 16 17 17 17 15 14 13 13 12 11 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 nan
nan 5 5 5 6 7 7 10 12 12 10 9 9 9 8 8 8 8 7 7 6 6 7 7 6 6 7 8 9 9 9 8 7 7 9 11 11 10 9 9 8 9 9 9 10 11 11 11 11 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 10 9 9 7 6 5 7 8 8 9 10 10 11 11 9 7 8 8 8 8 9 10 11 11 10 10 10 11 12 14 16 17 18 18 17 16 15 14 13 12 12 11 11 10 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 nan
nan 6 5 5 5 7 8 10 12 12 10 9 9 9 8 7 8 8 8 7 5 4 5 7 8 8 9 10 10 9 9 9 9 10 11 13 12 11 9 9 9 9 9 10 10 11 11 11 11 10 10 11 11 10 9 8 8 7 8 9 9 8 7 8 9 10 10 10 10 10 11 11 10 9 9 9 8 8 7 6 7 8 8 8 9 10 11 12 10 8 8 8 9 9 9 10 10 10 10 9 8 8 9 12 14 16 16 16 17 17 17 16 15 14 14 13 12 11 11 10 9 9 9 8 8 9 8 8 9 9 9 9 10 10 nan
nan 6 5 4 5 7 8 10 11 11 10 9 8 8 8 7 8 8 8 7 5 4 6 7 9 9 11 11 11 9 9 10 11 12 12 12 11 10 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 9 8 8 9 9 9 8 7 8 9 11 11 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 9 10 11 12 11 9 7 7 8 9 9 9 9 10 10 9 8 8 8 10 12 14 15 15 15 16 16 16 16 16 15 15 14 13 12 11 11 10 10 9 9 9 9 9 8 9 9 9 9 9 9 nan
nan 6 5 5 6 8 8 8 10 11 10 8 8 8 8 7 7 8 8 7 7 7 7 8 9 11 11 12 11 9 8 9 11 12 12 11 9 9 8 8 8 8 10 11 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 10 8 8 10 11 12 11 10 10 9 9 8 7 7 6 7 7 7 7 7 7 8 9 10 11 12 12 11 8 6 6 7 8 8 9 9 9 10 10 9 8 8 9 10 11 11 12 13 15 16 15 15 15 16 16 16 15 14 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 7 6 6 7 8 7 7 9 11 10 8 7 8 8 7 6 7 7 7 8 9 9 9 10 11 11 11 11 10 9 8 9 11 12 11 9 8 8 8 8 9 10 11 12 11 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 12 12 11 10 9 8 7 6 6 6 6 6 7 7 8 8 7 7 7 9 10 12 12 11 9 6 5 6 7 8 8 8 9 11 11 11 9 8 8 8 9 9 9 9 11 13 14 15 15 16 16 17 18 18 17 15 14 13 13 12 12 11 11 10 10 10 9 9 9 8 8 8 nan
nan 9 8 7 8 7 6 6 8 11 10 8 7 7 7 6 6 7 8 8 9 9 9 9 10 10 11 12 13 12 10 8 9 10 12 11 9 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 10 10 11 10 9 9 10 10 11 12 12 10 9 9 9 8 6 5 5 6 6 7 7 8 8 8 6 5 6 8 10 11 11 9 8 7 7 8 8 8 9 9 11 12 12 10 7 7 7 7 7 7 6 7 8 10 12 14 15 17 18 19 21 21 20 19 17 16 15 15 14 13 12 11 11 10 10 9 8 7 7 7 nan
nan 10 10 9 8 7 6 6 9 11 11 10 8 7 7 6 6 7 8 8 8 8 8 9 9 10 11 13 13 12 10 9 9 10 10 9 8 8 8 9 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 9 8 9 10 11 12 12 10 8 7 8 8 7 5 5 6 7 7 7 8 9 9 7 5 5 6 8 10 10 9 8 8 8 9 10 9 9 9 10 12 12 10 7 5 5 6 6 6 5 5 6 7 9 11 12 14 16 17 18 19 19 19 18 17 17 17 17 16 15 14 12 11 10 9 8 7 6 6 6 nan
nan 11 12 11 9 7 6 7 8 11 12 11 9 7 6 6 7 7 8 8 8 8 8 8 9 9 11 13 13 12 10 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 10 10 10 10 10 10 9 8 8 9 11 12 13 11 7 6 5 6 7 7 6 6 8 8 8 9 10 10 9 6 5 6 8 10 11 10 9 8 9 10 11 11 10 10 10 10 11 10 7 5 5 6 6 6 6 5 6 7 9 10 10 10 11 12 13 12 11 10 10 11 13 15 16 16 16 16 14 13 12 11 9 8 7 6 5 5 nan
nan 11 12 12 10 8 7 6 7 9 12 12 10 8 7 6 6 7 7 7 7 8 8 8 8 9 10 11 12 11 10 10 9 9 9 9 8 8 8 8 7 7 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 12 13 12 8 5 4 4 5 6 7 7 8 8 9 9 9 10 9 7 5 6 7 9 10 10 9 9 9 9 10 11 11 10 10 10 10 10 8 6 6 7 7 8 8 7 7 8 9 10 10 9 9 9 9 9 8 6 3 2 5 8 11 13 14 15 15 15 14 13 12 10 9 7 7 6 6 nan
nan 11 12 12 10 9 8 7 6 7 11 13 11 10 8 7 6 6 6 6 7 7 7 8 8 8 9 10 10 11 11 11 10 9 9 9 8 8 8 8 7 7 9 10 10 10 10 10 10 10 9 9 9 8 8 9 10 11 11 11 8 5 3 3 4 5 6 7 8 8 8 8 8 9 9 7 6 6 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 7 6 7 8 8 9 8 8 9 9 10 9 9 8 8 9 9 8 6 4 2 2 5 8 10 11 12 13 14 14 14 14 13 12 10 9 9 8 8 nan
nan 10 11 11 11 10 9 7 6 7 10 12 12 11 9 8 6 5 5 5 6 7 7 7 7 7 8 9 10 11 11 11 10 10 9 9 8 8 8 8 7 7 8 9 10 10 10 10 10 10 9 8 8 9 9 10 10 10 9 8 5 3 2 3 5 7 8 8 8 8 7 7 7 8 7 7 7 9 9 9 9 9 10 11 11 10 9 9 9 9 9 8 7 7 6 6 6 7 8 9 9 9 10 10 10 9 9 8 8 9 9 9 8 6 5 4 7 10 12 12 10 10 11 12 13 14 15 14 13 12 11 11 10 9 nan
nan 10 10 11 11 10 9 8 7 8 9 11 12 12 10 9 7 5 4 5 6 7 7 7 7 7 8 9 10 10 9 9 11 11 10 9 8 7 7 8 8 7 7 8 9 10 10 10 10 10 9 9 9 9 10 10 10 9 7 5 4 3 4 5 7 9 10 10 9 8 7 7 7 8 8 9 9 9 8 7 7 10 11 12 11 10 9 9 8 8 8 7 6 6 6 7 8 9 9 9 9 9 10 10 9 9 8 7 7 8 9 8 8 7 7 10 13 16 16 14 12 11 10 11 12 14 15 15 15 14 13 12 11 10 nan
nan 9 10 11 10 10 9 8 8 8 9 11 12 12 10 9 7 6 5 5 6 6 7 7 7 7 8 9 10 9 7 8 11 12 11 9 7 6 7 8 8 7 6 6 8 9 10 9 9 9 9 9 10 10 10 9 8 7 5 4 4 5 6 8 9 10 10 10 9 8 8 8 9 10 10 10 8 6 5 6 8 11 12 11 10 9 8 7 7 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 7 8 8 8 8 8 8 10 14 17 17 16 15 15 15 13 11 12 13 14 15 15 15 14 13 12 11 nan
nan 9 10 10 10 9 9 9 9 9 9 10 11 11 10 8 7 7 6 5 5 7 8 8 7 7 8 9 9 8 6 7 11 12 11 9 7 6 8 9 8 7 5 5 8 10 10 9 9 9 9 9 9 10 9 8 7 6 5 4 5 6 8 9 9 9 9 8 8 9 9 10 10 11 10 9 7 5 5 8 10 11 10 8 8 8 6 6 7 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 11 13 14 14 14 15 16 16 14 12 11 13 13 14 15 15 14 13 12 11 nan
nan 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 6 5 5 7 8 8 8 8 8 9 9 8 7 7 9 11 11 9 7 7 9 9 8 7 6 6 8 9 9 8 8 8 9 9 9 9 8 7 6 5 5 5 5 7 9 9 9 8 7 7 8 9 9 9 9 10 9 8 6 6 8 10 10 8 6 5 6 6 5 6 8 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 9 10 10 10 10 10 11 12 13 12 11 10 11 12 12 13 13 14 13 12 12 12 nan
nan 8 8 9 9 9 9 9 9 10 11 10 9 9 8 8 8 7 6 5 5 6 7 8 8 9 9 9 10 9 7 6 7 8 9 9 9 9 9 9 8 7 7 8 9 9 8 7 8 9 10 10 9 9 8 7 6 6 5 6 7 8 10 9 9 7 7 7 8 9 10 9 10 10 9 7 6 7 9 10 9 6 5 6 6 5 5 6 8 9 9 8 8 8 9 10 11 11 9 9 9 9 9 8 8 9 9 9 9 10 11 11 10 9 8 8 7 7 7 7 7 6 5 5 8 10 11 12 12 12 12 12 13 13 nan
nan 8 8 8 9 9 8 8 8 10 11 11 10 8 8 7 7 7 6 6 6 7 7 7 8 9 9 9 10 9 7 6 6 8 9 9 10 10 9 8 7 8 8 8 8 8 8 7 8 10 10 10 9 8 8 7 6 6 6 6 7 8 9 9 8 8 7 8 9 10 10 10 10 10 9 7 6 8 10 10 9 8 8 8 8 7 6 7 7 7 7 8 8 8 9 11 12 10 9 9 10 10 9 9 9 9 9 9 11 12 12 11 10 9 8 8 7 4 3 2 2 1 -1 1 5 8 11 12 11 11 12 13 14 15 nan
nan 8 8 8 8 8 8 8 8 9 11 11 11 9 7 6 6 6 6 7 8 8 6 6 8 9 9 9 9 8 7 7 7 8 8 9 11 11 8 7 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 9 10 9 10 10 10 9 8 8 9 10 10 10 10 10 11 10 10 10 9 8 8 8 8 8 8 10 11 10 9 9 9 10 10 10 9 9 8 8 10 12 13 12 10 8 8 9 9 6 4 2 2 3 0 -1 1 5 8 10 10 9 9 9 12 14 15 nan
nan 8 8 8 8 8 8 8 8 8 9 10 11 10 8 6 5 5 6 8 10 9 6 6 7 8 8 8 7 7 7 8 9 8 7 8 11 10 9 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 6 6 5 5 5 6 7 8 8 8 8 9 8 9 9 9 9 8 8 9 10 11 11 10 10 11 12 12 12 12 10 10 10 9 8 7 8 9 9 8 8 9 10 10 11 10 10 9 8 9 11 12 11 9 7 6 7 7 7 5 5 7 8 7 5 4 5 6 8 7 6 5 5 6 8 11 12 nan
nan 8 8 8 8 8 8 8 8 8 8 9 11 11 9 6 4 4 6 8 10 9 7 6 6 7 7 7 7 8 9 10 11 9 7 8 10 10 9 9 9 9 8 8 8 8 8 7 7 8 9 9 9 9 10 10 9 9 9 8 7 7 8 8 8 8 8 8 8 7 7 8 8 8 7 7 9 10 11 10 10 10 11 12 12 12 11 11 12 12 10 8 7 8 8 7 8 8 9 9 10 10 10 9 9 10 11 12 10 8 7 6 7 7 7 6 7 9 11 12 10 8 6 7 7 7 4 2 1 2 4 6 7 8 nan
nan 8 8 8 8 8 8 8 8 8 8 9 10 10 9 6 4 4 5 7 8 8 7 7 6 6 7 8 9 9 10 11 11 9 8 8 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 11 11 11 11 12 11 11 10 10 10 10 9 8 8 7 6 6 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 12 12 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 11 10 8 7 7 9 10 10 10 11 11 12 12 11 8 5 5 6 7 6 3 1 1 2 4 5 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
33 34 39 43 46 47 44 44 43 39 35 33 34 37 41 41 38 37 37 36 39 45 51 52 51 52 50 48 48 49 50 49 49 45 39 34 32 33 32 28 27 24 22 18 19 20 21 19 18 18 20 23 25 28 26 28 28 26 24 21 19 16 12 13 16 15 16 21 21 21 21 19 14 7 3 0 1 1 0 0 0 0 0 2 3 4 5 7 10 9 10 11 17 22 23 22 20 15 10 6 8 12 13 17 22 28 33 36 34 29 28 25 26 26 29 39 50 68 84 88 83 72 62 57 50 44 41 40 40 34 26 20 16 11 10
41 38 42 46 50 52 49 47 44 41 36 34 34 39 45 44 44 40 39 39 41 44 47 48 49 51 51 49 49 49 52 53 52 48 45 43 40 37 36 36 36 25 23 18 20 19 16 14 15 16 13 13 16 15 16 16 15 15 17 21 29 32 6 7 12 12 12 14 16 17 19 20 17 12 8 4 3 2 2 0 0 0 0 1 2 2 4 7 12 9 10 11 15 18 19 20 20 16 11 6 6 8 10 16 21 28 35 40 42 40 37 33 29 24 24 29 35 42 49 58 61 62 58 51 44 40 36 32 29 26 22 19 15 12 10
50 48 47 51 55 56 53 50 47 43 39 36 35 40 50 46 47 47 46 46 46 46 46 46 46 48 50 46 48 49 52 56 56 53 51 51 50 47 44 36 35 32 31 28 26 23 18 15 17 18 13 10 9 9 10 9 7 7 15 27 33 35 10 5 7 7 7 7 8 11 13 16 17 16 12 9 7 5 3 1 0 0 0 0 1 3 7 9 13 12 12 13 13 12 12 17 19 17 11 6 5 7 8 12 18 26 35 42 47 48 46 39 29 22 19 19 21 25 30 37 45 49 47 40 34 31 27 24 21 19 17 15 12 11 10
58 55 55 58 60 61 58 54 51 47 44 40 35 38 46 44 46 46 46 45 44 44 43 43 43 43 44 38 41 44 45 50 55 55 54 55 53 49 47 48 44 43 41 38 35 30 24 19 17 20 17 13 11 12 13 13 10 7 16 36 31 28 13 5 6 7 5 4 4 6 8 11 13 14 14 11 9 7 4 2 0 0 0 0 3 5 12 17 17 15 16 16 14 11 10 13 17 17 13 8 7 8 8 10 15 21 31 38 46 49 50 44 34 24 17 13 12 12 16 23 28 31 29 26 24 23 20 18 18 16 13 12 10 10 11
66 63 66 67 67 67 65 62 57 52 48 44 38 38 42 45 47 47 45 40 34 32 34 36 38 38 39 33 34 36 36 39 44 46 45 50 54 52 51 51 50 47 44 46 47 42 33 26 22 22 19 17 19 20 21 20 17 14 21 37 24 8 4 3 7 6 4 4 4 4 5 7 7 7 10 8 7 6 4 2 1 0 0 1 5 10 17 22 22 18 16 17 16 13 11 13 18 19 15 10 8 8 8 8 10 14 26 32 41 45 49 50 46 36 27 21 18 14 15 14 15 19 19 17 17 18 17 20 16 15 13 12 12 11 11
81 74 74 72 72 73 74 72 67 60 55 51 46 43 43 45 46 47 45 39 33 33 34 32 32 33 33 28 28 29 30 32 33 35 35 38 48 52 57 58 53 46 44 48 51 48 39 32 28 26 26 24 22 20 19 18 15 14 22 34 10 1 1 2 3 3 2 3 3 3 3 4 5 6 6 5 5 5 3 2 1 0 0 2 5 8 13 18 19 16 12 16 17 15 15 14 18 21 19 13 9 8 8 8 10 10 21 28 34 39 45 48 49 48 40 35 30 24 21 16 12 13 14 14 15 15 15 19 17 16 15 14 14 13 11
99 88 78 70 72 77 84 90 87 76 64 60 56 52 48 47 46 46 46 41 38 40 37 29 26 28 22 20 21 21 24 26 26 28 30 33 37 45 57 58 56 54 53 53 51 45 40 34 28 29 32 34 30 22 17 15 15 14 20 39 7 1 0 1 1 1 1 2 1 1 1 1 2 3 4 5 5 5 4 3 2 1 1 1 2 2 4 8 11 11 9 11 14 18 18 17 19 23 23 18 12 8 9 9 9 10 16 24 30 36 44 48 49 47 45 42 35 31 27 21 16 15 14 14 15 16 16 17 18 20 20 18 15 15 14
104 95 75 69 69 78 95 116 126 113 86 70 68 58 56 55 52 50 49 48 46 42 34 23 24 22 17 15 14 15 16 19 20 21 24 30 35 40 52 58 62 65 64 60 53 46 46 40 36 34 33 34 35 31 24 20 22 24 23 43 21 7 1 1 1 1 2 1 1 1 1 0 0 0 1 3 4 4 5 3 2 3 1 0 0 0 0 1 3 5 4 4 9 18 20 18 19 24 27 25 17 11 12 11 11 12 17 23 28 35 43 50 53 52 47 42 35 31 28 25 23 20 16 15 15 16 19 20 20 20 20 18 16 14 12
96 85 73 72 74 82 103 145 186 190 155 111 94 72 67 67 64 57 52 47 43 40 35 25 27 24 23 17 13 12 11 11 13 14 17 22 27 32 43 53 61 67 68 64 55 51 58 54 50 45 39 35 33 34 33 31 33 36 33 42 33 16 5 2 2 2 2 2 1 1 0 0 0 0 0 1 2 2 3 2 1 2 1 0 0 0 0 0 0 1 0 0 6 10 13 15 17 22 29 30 22 15 12 12 13 15 19 23 28 34 42 50 56 55 50 45 38 31 27 26 25 26 23 19 18 18 19 20 19 19 18 18 17 14 12
80 71 73 85 99 106 122 172 240 268 237 171 131 97 82 78 73 63 49 36 28 24 22 22 22 20 19 18 16 13 10 8 8 7 9 12 16 23 32 41 51 58 62 63 57 55 60 59 56 51 47 43 41 42 41 38 37 40 39 40 39 27 12 6 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 3 7 10 13 15 20 28 30 27 20 15 14 14 17 19 20 25 33 41 48 56 58 55 51 43 35 29 28 25 27 26 25 23 22 21 19 20 19 20 19 18 16 14
54 53 65 83 117 138 139 162 223 250 235 191 149 126 111 100 86 66 44 28 26 21 20 17 15 13 15 17 18 16 12 10 8 8 7 7 10 15 22 30 39 46 51 55 55 55 55 55 54 54 54 49 43 43 42 36 34 38 39 38 41 36 22 14 7 4 2 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 1 2 6 10 12 18 24 28 30 27 20 15 15 15 14 15 22 30 39 45 51 55 57 55 50 43 35 34 31 29 28 27 26 25 24 23 22 21 21 20 21 20 19
32 31 35 48 89 121 111 99 127 158 183 181 166 156 141 123 107 82 48 37 30 20 20 19 14 11 10 12 15 16 14 11 11 11 11 9 8 10 16 22 30 39 42 44 45 48 49 48 45 45 45 39 34 32 32 32 32 37 41 39 38 37 28 19 11 5 3 2 2 2 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 2 9 16 21 24 27 29 27 23 20 17 13 13 19 26 33 40 45 49 54 55 54 53 48 45 41 36 32 30 29 27 26 24 21 22 22 21 23 24 25
24 21 19 25 44 60 58 56 82 140 181 197 192 169 145 113 79 59 51 46 38 29 26 22 17 14 11 9 10 12 14 15 15 14 13 11 9 9 12 16 21 28 33 34 35 36 40 39 35 32 30 28 28 27 26 31 31 37 41 41 39 38 31 17 10 6 4 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 13 15 17 20 25 29 30 25 23 16 14 15 19 25 32 38 43 47 50 54 56 58 57 53 46 39 36 32 29 26 25 24 23 22 22 23 26 28
40 41 38 41 39 36 48 70 122 185 203 198 177 149 127 106 84 65 45 39 36 30 26 26 21 16 13 9 8 11 16 18 18 15 13 10 7 7 10 12 14 19 23 25 25 24 26 28 29 28 26 25 25 27 25 30 33 36 39 40 37 33 19 12 8 6 4 3 2 2 3 5 4 2 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 2 8 11 12 15 19 22 22 22 27 21 19 16 15 19 26 33 37 42 46 51 57 64 74 76 65 52 43 35 31 27 25 25 25 24 22 22 25 28
118 161 182 189 135 59 76 120 167 186 180 162 147 134 120 105 87 60 36 33 32 28 23 23 21 19 15 11 9 11 15 18 18 16 13 9 8 7 8 8 8 12 14 16 16 15 16 19 20 22 24 26 25 26 24 28 33 34 36 37 39 32 11 7 7 7 5 3 2 3 4 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 5 7 9 12 14 17 22 22 23 24 23 19 16 16 21 28 32 36 42 49 56 75 102 111 91 60 51 40 34 29 26 25 25 26 24 21 22 25
280 384 409 383 276 120 116 156 194 165 138 118 107 100 98 100 88 44 39 37 34 28 23 21 20 19 16 12 10 10 10 11 13 13 11 9 7 5 3 4 3 5 8 9 10 13 15 17 18 20 22 29 29 27 27 30 32 33 33 34 36 25 11 7 7 6 5 4 3 4 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 3 5 6 8 8 13 15 18 20 21 21 20 18 16 21 26 29 31 36 44 53 72 106 136 122 72 59 47 38 32 28 26 26 29 28 24 22 23
411 468 364 244 204 148 169 193 194 156 120 99 83 68 58 58 65 62 39 35 31 26 22 19 16 15 13 10 8 6 6 6 6 6 4 3 1 0 0 1 1 0 2 4 6 10 13 17 22 29 30 30 31 30 29 31 31 30 27 26 22 14 9 7 5 5 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 4 6 7 9 11 14 16 17 19 20 20 18 18 21 27 29 32 38 47 60 88 144 138 99 80 63 48 39 32 29 30 33 30 25 22 22
331 301 162 28 43 113 183 182 145 132 109 97 80 53 32 28 28 31 25 22 20 18 16 14 13 11 9 7 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 1 2 3 3 6 18 27 28 29 31 31 30 28 27 23 16 12 9 7 5 5 4 4 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 3 4 6 8 9 10 11 12 14 18 20 20 20 19 20 25 27 28 31 39 49 62 112 131 126 107 79 55 43 35 31 31 33 30 27 24 23
127 78 39 15 29 82 146 147 117 103 88 84 78 60 37 27 22 22 20 16 14 13 12 11 10 8 7 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 15 17 21 26 27 25 22 21 15 9 5 5 4 4 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 1 2 2 2 3 3 4 4 3 3 3 5 7 8 7 7 10 12 15 17 19 21 20 20 22 24 25 26 35 44 54 89 122 135 124 96 66 51 42 36 34 33 31 29 28 27
18 14 14 15 24 53 96 119 87 74 67 64 61 55 48 35 19 17 15 15 13 11 8 7 7 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 16 18 16 17 14 10 5 4 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 4 3 3 3 3 4 4 5 5 6 8 10 11 14 17 19 20 20 21 22 25 26 32 38 47 65 97 130 142 128 106 94 63 48 44 40 36 33 30 30
11 10 12 15 17 29 44 68 45 45 54 56 53 51 49 40 17 17 15 14 12 9 7 6 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 5 8 10 12 13 12 9 7 5 5 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 2 3 3 2 3 3 3 3 4 4 4 6 7 8 9 11 13 14 15 17 18 20 23 26 29 33 40 48 68 107 142 158 159 147 127 99 74 54 41 36 30 28
7 7 8 10 11 19 17 29 28 38 57 66 62 59 53 45 20 15 14 12 10 8 6 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 6 7 8 8 8 8 6 6 6 5 5 5 5 5 5 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 3 4 4 4 4 4 3 4 4 4 4 4 4 5 6 6 7 7 8 8 10 12 15 13 17 20 23 25 27 30 37 50 69 105 168 209 208 181 158 125 77 47 40 33 32
4 4 3 4 9 18 15 17 25 31 58 84 76 68 60 44 23 13 9 8 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 9 8 7 7 7 5 3 4 4 4 4 4 5 5 5 4 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 5 4 5 4 4 5 5 5 5 6 5 6 6 7 7 6 6 7 10 14 13 14 17 20 23 25 26 29 32 40 63 142 224 274 286 258 203 146 107 75 46 34
4 8 6 4 11 22 26 12 10 18 44 77 97 86 61 39 17 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 1 2 6 9 11 11 8 8 7 2 1 1 2 3 3 4 4 5 5 4 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 5 5 5 6 5 5 5 5 5 4 4 5 6 6 6 7 6 6 7 9 11 11 13 15 17 19 22 25 26 27 30 38 84 159 248 331 350 310 250 184 100 52 40
5 12 8 2 6 13 21 7 1 19 32 25 37 32 35 23 7 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 2 4 7 8 7 5 1 0 0 0 1 1 2 2 2 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 5 4 5 5 5 5 5 5 6 6 5 5 5 6 6 7 7 7 7 7 8 9 10 13 15 16 18 22 23 24 25 26 29 43 75 138 263 324 331 301 244 188 126 56
3 6 3 1 1 2 6 3 1 5 7 3 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 1 2 2 2 1 1 0 0 0 0 0 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 3 4 4 5 6 6 6 5 5 5 5 5 5 5 7 7 6 6 6 6 6 7 7 7 7 8 8 9 10 11 13 14 15 17 18 21 23 24 25 28 37 61 148 216 266 294 285 245 177 102
1 0 0 0 1 1 1 1 1 1 1 1 1 1 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 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 3 5 6 7 8 8 8 7 6 6 5 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 8 9 10 10 11 11 12 12 14 16 18 19 20 21 26 34 73 131 201 262 288 274 229 175
0 0 1 20 12 3 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 1 2 4 5 7 8 9 9 9 9 7 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 11 12 11 12 13 14 16 17 17 19 23 35 54 113 197 258 289 293 236
0 0 1 18 9 2 0 0 0 1 2 1 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 0 0 0 0 0 0 0 0 0 0 3 8 3 2 0 0 0 0 0 1 4 7 9 9 8 9 10 10 10 9 8 7 7 7 7 8 8 9 10 9 7 7 8 8 8 8 8 9 9 8 11 12 12 12 12 11 13 16 18 18 18 18 21 27 53 117 185 237 262 246
0 0 0 2 0 0 0 0 0 2 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 12 6 2 0 0 0 1 5 11 17 17 17 17 21 22 16 11 9 9 8 7 7 7 8 8 8 9 8 8 9 9 9 8 8 7 9 8 9 10 11 12 12 12 12 13 16 17 17 18 18 17 19 28 54 102 156 205 241
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 18 10 6 3 2 6 10 12 15 19 22 24 26 29 31 30 28 25 18 14 12 9 8 8 9 9 11 9 9 10 10 10 9 8 8 7 8 8 8 10 11 11 12 13 14 15 15 16 18 20 19 18 21 28 47 87 141 190
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