Vorticity
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nan 7 7 7 7 8 9 9 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 6 7 7 7 8 8 7 8 8 8 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 6 7 7 8 8 9 9 9 10 10 9 8 7 7 6 6 6 6 7 7 7 7 8 8 9 10 9 8 7 8 8 8 8 7 7 8 8 9 11 13 14 14 14 14 14 12 11 10 9 7 6 4 4 4 5 6 7 8 8 9 9 9 10 11 nan
nan 7 7 7 7 8 9 9 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 7 7 7 6 6 6 6 6 7 8 11 14 15 13 11 10 10 12 13 12 11 9 8 8 9 11 12 13 14 14 14 13 12 11 10 9 8 7 6 5 5 5 6 7 8 8 8 9 9 9 10 nan
nan 7 7 7 7 8 8 8 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 11 10 10 9 8 8 8 8 8 7 7 7 6 6 7 10 14 16 16 17 19 21 22 21 18 14 10 9 8 9 10 11 13 14 14 14 13 12 11 10 9 8 7 7 6 6 6 7 7 8 8 8 8 9 9 9 nan
nan 8 8 8 7 8 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 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 7 6 6 8 10 13 16 21 26 30 29 26 21 14 10 8 8 8 9 10 12 14 14 14 13 12 11 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 nan
nan 8 8 8 8 8 8 8 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 11 12 12 12 11 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 10 13 18 22 24 24 22 17 12 9 8 7 8 9 10 12 14 14 14 13 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 7 6 6 7 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 9 7 7 8 8 9 8 9 10 12 13 13 13 12 11 11 12 11 10 9 9 10 12 13 13 13 12 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 7 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 7 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 10 10 10 9 8 8 7 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 9 8 8 9 9 9 8 8 8 8 8 9 9 10 11 10 9 8 7 8 9 9 9 8 8 8 9 8 8 8 10 15 17 17 14 12 10 10 11 11 12 11 10 9 9 8 9 9 10 11 11 11 11 10 10 9 9 9 8 8 8 8 nan
nan 8 8 9 9 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 8 9 8 8 7 7 7 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 8 9 9 10 9 9 8 8 9 9 10 9 8 7 7 7 8 9 10 11 12 12 11 9 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 9 8 8 9 9 10 9 9 8 7 8 8 8 7 8 12 16 19 19 18 16 13 11 10 10 10 10 10 9 9 9 10 10 11 12 12 12 12 11 11 10 9 9 9 8 8 8 nan
nan 8 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 7 7 7 7 7 8 8 8 8 8 8 10 11 12 12 11 9 7 7 8 9 10 11 11 11 10 9 7 6 6 6 7 7 7 7 7 8 8 9 10 10 11 10 9 7 7 9 10 10 10 9 8 8 8 9 9 8 8 9 11 13 15 17 19 19 17 14 12 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 8 8 8 nan
nan 8 9 9 8 8 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 6 7 8 8 8 9 9 10 9 7 6 6 6 6 7 7 7 7 7 9 11 12 13 12 11 9 9 10 10 11 12 11 10 9 8 7 6 6 6 7 7 8 8 8 8 7 7 8 9 10 11 10 8 7 7 9 11 11 10 8 8 9 9 9 9 8 8 8 8 9 10 13 17 19 19 18 16 15 15 16 16 16 14 13 12 11 11 10 11 11 12 12 12 12 11 10 9 8 8 8 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 8 6 5 4 5 6 6 7 7 7 8 9 11 12 12 10 9 9 10 12 13 12 11 9 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 8 8 9 10 9 8 8 9 10 11 10 8 7 8 10 10 9 7 6 6 6 6 6 7 8 11 13 16 18 20 22 24 27 27 24 19 14 11 10 9 9 9 9 10 11 12 12 12 11 10 9 9 8 nan
nan 7 7 7 7 8 9 9 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 10 9 7 5 4 4 5 6 7 8 8 9 9 10 10 10 9 8 8 10 12 13 13 11 9 6 5 4 5 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 11 11 11 9 8 7 8 9 9 7 6 6 6 5 5 5 5 5 7 9 12 16 19 24 27 29 28 25 18 11 8 7 7 7 7 8 9 10 11 12 13 12 12 11 10 10 nan
nan 7 7 7 7 8 9 9 8 8 7 7 8 8 8 9 9 8 8 8 8 8 9 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 9 10 10 9 7 5 4 5 6 7 8 8 8 9 9 9 9 8 7 7 9 11 13 13 10 8 5 4 3 4 6 8 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 12 10 9 8 8 8 6 6 6 7 7 6 6 5 5 7 8 9 10 11 14 17 19 19 16 10 5 4 5 5 5 5 6 7 8 10 11 13 14 14 14 13 12 12 nan
nan 7 6 6 7 8 9 9 8 8 8 7 7 8 9 9 8 8 7 8 8 9 9 9 9 8 8 7 6 6 7 7 7 7 8 8 9 9 10 10 11 9 7 5 5 6 7 7 8 8 7 7 7 8 8 7 7 8 9 11 12 11 7 5 3 3 4 5 7 8 9 9 9 9 9 8 8 8 8 9 9 8 7 7 7 8 8 9 10 12 11 11 10 9 8 7 6 7 8 8 8 8 7 7 8 9 10 9 9 9 9 10 10 9 3 -3 -5 -0 4 5 6 6 6 7 8 10 12 13 15 15 16 15 14 13 nan
nan 7 6 6 7 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 7 8 9 9 10 10 10 9 7 6 6 6 7 7 7 6 6 6 6 7 7 7 7 8 9 11 10 8 5 3 3 4 6 7 8 8 8 8 8 9 8 8 7 8 9 10 10 8 7 7 7 7 7 8 9 10 10 10 10 9 9 7 7 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 5 -1 -5 -2 3 7 8 8 8 8 8 9 10 12 13 15 16 17 16 16 15 nan
nan 7 7 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 6 6 5 6 7 8 9 9 10 10 9 7 7 7 7 7 6 6 5 5 6 7 7 7 7 7 7 8 8 7 6 4 4 4 6 8 9 9 7 6 6 6 7 8 8 8 9 10 10 10 8 7 7 6 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 7 3 -1 0 6 12 15 14 12 10 10 9 9 10 11 12 13 15 15 15 15 15 nan
nan 8 7 6 6 6 7 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 6 5 5 5 6 7 8 8 9 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 5 5 5 6 8 10 10 9 7 6 6 6 7 8 9 10 10 10 10 9 8 7 7 6 7 7 8 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 10 10 9 8 8 8 9 8 6 4 5 12 20 24 24 20 16 14 13 11 10 9 9 10 11 12 12 13 13 13 nan
nan 8 7 6 7 8 8 9 9 9 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 7 6 7 7 5 4 4 5 6 7 7 8 8 8 9 9 9 9 8 8 7 6 5 5 6 6 6 6 6 6 6 6 5 5 5 6 7 9 10 10 9 8 7 8 8 8 9 9 10 11 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 10 9 8 7 7 7 7 7 10 15 23 28 29 25 22 21 19 16 13 10 9 8 8 9 9 9 10 10 10 nan
nan 8 7 7 8 9 9 8 8 8 8 7 6 6 6 7 8 8 8 9 10 10 9 8 9 9 9 8 7 6 8 8 6 4 5 5 6 6 7 7 8 9 11 11 11 9 9 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 9 8 8 9 9 10 10 9 10 10 10 10 9 8 7 7 7 7 6 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 7 8 10 13 17 21 22 20 19 20 21 20 17 13 9 8 7 7 7 7 7 7 8 8 nan
nan 8 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 9 10 9 8 8 8 9 8 8 7 7 8 9 7 6 6 6 6 6 6 7 8 10 11 12 11 10 9 9 10 10 8 6 6 5 5 5 5 4 5 5 5 6 6 6 6 7 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 11 12 13 13 12 11 12 14 16 16 15 10 9 7 6 6 6 6 6 6 7 7 nan
nan 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 9 9 10 9 8 8 8 8 8 8 7 7 8 9 10 9 8 7 7 6 6 6 7 9 10 11 11 10 9 10 10 10 9 8 8 8 7 6 5 5 5 5 6 7 7 6 7 7 7 8 9 10 10 10 10 9 8 8 8 9 9 9 9 8 7 6 5 5 5 6 8 9 9 8 8 7 7 8 10 10 9 9 9 9 9 9 10 11 11 11 12 13 13 13 12 12 10 9 8 7 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 8 9 8 8 8 7 7 7 7 6 6 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 9 10 9 8 7 7 5 5 5 7 8 9 10 10 10 10 10 10 9 8 9 10 11 10 8 7 7 7 7 7 7 7 7 8 7 7 8 9 10 9 9 10 9 9 8 8 9 9 10 10 9 7 6 4 4 5 6 7 7 7 7 6 7 8 10 11 10 10 10 10 10 9 9 10 11 11 12 14 15 15 14 13 12 11 9 6 1 -4 -6 -7 -6 -6 -0 4 6 7 8 8 9 9 8 8 9 nan
nan 9 9 9 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 9 8 8 8 7 6 4 4 6 7 8 8 9 9 9 10 10 10 9 9 9 10 10 10 9 9 8 8 7 6 6 7 7 8 7 7 8 9 9 9 9 10 10 9 9 9 10 10 10 10 9 8 7 6 6 7 8 8 7 7 7 6 7 8 10 10 9 9 10 10 10 10 10 10 10 11 12 15 16 15 13 11 11 11 9 4 -0 -4 -7 -7 -7 -5 1 6 9 10 11 11 11 11 10 9 10 nan
nan 9 8 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 7 7 8 9 9 8 8 8 8 8 8 8 8 8 9 8 6 5 5 7 7 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 7 6 5 6 7 8 8 7 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 10 9 8 7 7 7 8 8 8 8 9 10 10 11 10 10 10 10 11 13 14 13 11 10 9 10 10 9 7 7 7 7 6 5 7 9 11 12 13 14 13 13 12 11 11 11 nan
nan 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 8 8 8 8 8 9 9 9 8 7 7 7 9 9 7 6 6 7 8 8 8 7 7 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 8 8 8 8 7 8 9 10 10 9 8 8 9 10 11 12 12 11 10 10 9 8 7 7 7 7 7 8 9 10 10 10 10 9 9 10 11 12 11 9 8 8 9 10 9 10 12 15 18 20 18 15 13 13 14 14 15 15 14 13 12 12 12 12 nan
nan 9 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 10 10 9 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 7 8 9 10 11 11 11 10 9 9 8 8 8 8 7 7 8 9 9 10 10 9 9 8 8 9 10 10 9 8 8 10 11 12 12 14 15 17 19 19 17 13 12 12 13 13 14 14 14 13 12 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
27 31 38 41 42 41 39 40 40 41 41 42 42 42 42 44 45 48 49 51 53 57 61 65 70 73 72 70 70 73 74 75 71 66 59 53 51 50 49 51 55 56 54 52 54 56 58 60 60 57 52 47 42 38 33 31 29 25 19 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 16 21 27 33 36 40 44 46 50 52 51 48 47 50 55 56 53 52 51 53 56 60 62 62 61 60 56 51 47 48 50 53 53 52 49 42 36 34 35 33 30 26 23 18 15 15 14 13 10
27 30 37 41 42 42 41 41 41 41 41 42 42 42 42 42 43 44 45 45 48 50 53 56 61 65 68 70 72 74 72 69 64 59 55 52 52 53 55 57 59 56 54 53 56 58 60 60 59 57 54 48 42 37 31 29 26 22 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 2 7 13 18 24 32 37 41 45 48 51 54 56 53 49 49 57 61 58 54 52 54 61 68 70 72 71 69 65 69 64 56 51 50 50 51 53 55 50 41 38 36 35 33 29 25 22 19 17 15 15 12
26 28 35 40 42 42 41 41 41 41 42 42 42 42 42 42 44 43 43 44 44 45 48 50 53 55 58 60 63 63 62 60 57 55 53 53 54 55 57 58 55 53 53 54 56 57 58 58 57 55 51 43 36 33 30 26 23 19 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 15 22 30 36 41 46 50 53 56 58 56 52 50 54 60 62 59 57 58 63 74 83 85 83 82 84 83 79 73 67 62 57 51 49 52 55 54 50 44 38 36 35 32 27 24 23 20 16 16 15
26 29 34 38 42 43 42 42 42 42 42 42 42 43 43 42 43 43 43 44 44 44 45 46 48 50 52 53 55 55 54 54 54 54 54 54 55 56 55 49 48 49 49 50 51 52 53 55 55 54 49 43 38 33 29 25 21 16 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 18 27 34 40 46 50 55 59 60 59 58 53 52 58 63 64 62 60 63 71 84 94 97 93 91 91 90 84 78 74 73 71 62 53 50 52 54 54 50 44 39 37 34 32 27 24 23 20 18 16
25 28 32 37 42 44 43 42 41 40 40 41 43 45 44 43 43 44 45 45 44 45 45 45 45 46 47 48 50 51 51 53 54 55 55 54 54 51 48 46 46 46 46 46 47 48 49 51 52 51 48 42 36 32 28 23 18 13 8 3 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 23 31 37 43 48 54 60 63 62 60 58 55 58 64 67 67 66 65 67 72 81 94 97 95 92 91 88 84 80 75 74 76 72 66 60 54 52 53 52 49 45 40 36 33 30 27 25 24 22 19
24 27 31 35 39 42 43 42 40 38 38 39 41 44 44 42 42 43 44 43 43 45 46 46 46 46 46 47 48 49 50 52 54 54 52 49 44 43 43 43 44 45 45 45 46 46 45 46 46 45 44 40 35 31 26 21 15 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 15 22 29 35 40 46 52 59 65 64 61 59 59 62 68 72 71 69 68 69 71 73 80 91 95 93 88 87 86 85 84 78 74 73 73 73 70 63 56 53 51 49 49 48 39 35 34 32 31 28 25 22
22 26 31 32 36 38 38 38 37 37 37 37 39 41 42 41 42 44 43 41 40 40 42 45 45 46 45 45 45 46 48 50 50 49 46 42 40 41 42 43 44 44 44 44 44 43 42 42 41 41 39 36 32 28 23 17 11 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 20 27 34 39 45 51 59 67 69 66 61 59 62 69 76 79 76 72 70 71 74 80 87 94 97 92 84 81 82 82 83 82 79 76 73 72 72 71 66 62 57 50 51 51 45 40 36 36 36 34 28 24
19 23 30 33 34 35 35 34 34 34 34 34 34 36 39 38 40 40 39 38 40 41 41 42 42 44 43 43 41 41 42 44 44 43 41 39 39 38 38 39 40 40 39 39 39 39 39 39 38 38 35 32 28 24 19 13 9 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 18 27 35 41 45 50 58 65 70 71 68 64 61 66 74 81 83 80 76 74 73 76 83 89 94 98 96 88 84 84 83 83 83 84 84 79 74 72 72 73 74 72 61 56 52 48 44 39 37 38 38 34 29
16 20 25 29 32 33 34 34 33 32 33 33 35 35 36 36 36 35 35 34 35 35 36 40 40 41 41 40 38 38 40 42 42 40 39 38 35 32 30 28 28 30 32 32 31 31 32 34 34 33 32 29 25 21 15 10 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 23 33 40 45 50 56 61 65 67 69 67 64 65 71 77 81 83 82 79 78 77 80 86 91 95 97 96 92 90 89 86 88 88 91 92 89 83 77 73 77 80 81 75 68 59 52 47 44 39 38 39 38 36
12 16 19 23 27 29 31 31 31 31 32 32 33 33 33 31 31 31 31 29 28 29 29 32 34 34 35 36 35 35 36 37 37 35 33 30 27 25 24 24 25 27 29 28 26 25 25 27 28 29 28 25 22 17 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 7 18 30 38 42 47 56 64 65 65 65 66 66 66 70 77 82 81 81 82 82 82 82 83 87 94 98 97 96 94 92 90 88 90 94 98 100 99 96 90 79 79 81 83 83 80 71 59 52 48 45 41 39 38 37
10 13 16 20 23 26 27 27 28 28 29 28 30 32 30 29 28 27 27 26 25 26 24 26 27 28 29 30 30 30 30 29 29 28 25 23 22 23 23 24 24 24 24 24 25 25 23 23 23 22 21 20 16 12 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 23 34 41 46 54 66 73 71 70 69 70 73 77 82 87 91 88 84 83 83 84 86 85 87 94 99 100 99 97 94 93 94 97 101 105 109 107 106 100 90 83 81 83 86 86 82 71 60 53 49 45 41 38 37
7 9 12 17 21 23 23 23 24 24 24 23 24 25 24 23 23 23 24 24 24 24 22 22 23 25 26 26 26 26 26 26 25 24 23 23 22 20 18 17 17 16 17 18 21 23 23 22 21 19 18 16 14 12 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 25 35 42 48 59 70 77 77 78 81 85 88 88 90 93 97 95 90 85 85 88 89 88 88 95 102 101 100 101 100 100 102 103 105 108 112 113 111 104 98 92 87 85 87 87 86 81 72 62 54 49 44 39 36
4 5 9 12 16 18 19 19 19 20 19 19 18 18 18 17 17 18 18 19 20 20 21 21 23 24 24 24 24 23 23 24 23 22 21 18 15 14 14 15 16 15 14 15 15 17 20 21 21 20 18 17 15 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 8 18 27 36 43 48 63 70 73 79 86 91 95 97 96 95 95 96 95 94 90 90 94 95 92 90 94 102 101 100 101 102 102 102 101 103 105 109 115 116 111 107 104 99 92 89 86 87 86 81 73 64 55 49 44 39
2 2 4 7 11 14 15 15 15 15 16 15 14 13 13 13 13 13 13 13 15 15 17 19 22 23 23 23 22 21 21 21 19 18 15 13 11 11 11 11 11 11 12 14 12 12 15 18 20 21 20 17 13 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 3 11 20 28 38 43 52 66 74 75 82 91 97 100 101 101 100 98 95 94 95 95 95 97 98 97 88 91 98 101 101 103 101 94 91 92 96 101 105 113 115 113 112 110 107 101 93 85 85 86 85 81 73 64 55 52 44
1 1 2 4 8 12 13 14 11 12 14 12 11 10 10 11 11 10 10 10 11 12 12 16 18 19 18 18 18 18 18 17 16 14 13 11 10 8 6 4 5 4 7 10 11 11 12 14 15 15 14 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 0 1 5 14 22 30 40 46 55 68 77 78 84 93 100 103 105 106 104 100 97 96 96 96 96 97 97 96 89 91 96 101 105 109 109 97 87 86 91 97 101 110 115 114 114 113 110 105 97 88 84 84 86 86 81 72 60 54 49
0 0 0 2 5 8 9 11 9 10 11 10 9 9 9 10 11 13 12 11 10 10 11 13 14 14 14 14 14 14 14 13 12 11 10 8 5 4 2 2 4 3 4 5 7 9 10 11 10 9 10 7 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 9 18 25 33 43 50 61 72 77 80 85 93 100 104 107 107 106 101 99 100 103 104 106 108 108 105 99 95 96 102 110 114 114 103 93 89 91 95 99 106 114 117 116 113 110 104 98 92 86 83 84 89 86 79 67 61 54
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0 0 0 0 0 2 3 3 3 3 4 4 3 4 6 6 5 3 4 6 8 9 9 9 10 10 10 9 9 9 9 9 9 7 4 2 0 0 0 0 0 0 0 0 1 2 5 7 8 8 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 1 6 15 24 31 42 49 55 64 74 80 82 83 87 94 99 103 104 104 106 114 123 126 134 139 141 141 140 133 124 120 121 127 133 131 121 109 104 109 115 118 117 114 109 107 110 109 104 100 97 95 92 83 86 89 88 81 77 74
0 0 0 0 0 1 2 2 2 2 3 3 2 3 3 3 3 4 4 4 6 7 8 9 9 9 9 8 8 8 8 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 2 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 1 8 18 27 36 46 51 56 64 73 80 84 82 85 91 98 103 105 107 115 129 140 143 147 151 156 161 159 153 146 142 141 145 147 144 133 120 115 120 130 136 133 125 120 115 114 114 110 105 100 97 93 89 86 88 91 89 85 82
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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 0 2 4 9 12 17 27 40 58 90 129 154 173 197 223 245 258 264 269 290 315 333 335 339 351 354 343 341 342 313 319 314 310 308 301 283 254 233 232 235 232 224 211 197 186 177 177 173 168 164 159 157 161 164 166 161 151 146 141 129
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