Vorticity
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nan 7 7 7 8 8 9 9 8 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 9 9 10 9 9 8 7 6 6 6 6 6 6 6 6 7 8 9 10 10 9 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 7 6 6 5 5 6 7 8 9 9 9 9 9 10 10 10 10 11 12 nan
nan 8 7 7 8 8 9 9 8 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 11 10 10 9 8 7 7 6 6 6 5 5 6 6 7 8 11 15 16 14 11 9 9 10 10 9 9 8 8 8 9 10 10 10 10 9 9 8 7 6 5 5 5 5 6 7 8 8 9 9 9 10 10 11 11 12 12 nan
nan 8 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 7 7 7 6 6 6 6 6 7 11 15 17 17 17 18 20 20 19 16 12 9 8 8 9 10 10 10 10 10 9 9 8 7 6 5 5 5 6 7 7 8 9 9 9 10 10 11 12 13 14 nan
nan 7 8 8 8 8 8 8 7 6 7 7 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 8 10 13 17 21 26 30 29 25 20 13 9 7 7 8 9 10 11 11 11 10 10 9 8 6 6 5 5 6 7 7 8 8 9 9 10 11 12 13 14 14 nan
nan 7 8 8 8 8 7 7 6 6 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 8 10 14 19 23 25 25 22 17 11 8 6 6 7 8 10 10 11 11 11 10 10 9 8 7 7 6 7 7 8 8 9 9 10 10 11 12 13 14 14 nan
nan 7 7 7 8 8 8 7 7 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 10 13 14 13 13 13 11 11 11 9 8 8 8 9 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 11 11 12 13 14 14 nan
nan 7 7 8 9 9 9 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 10 10 9 8 7 7 8 8 8 8 8 8 7 7 8 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 10 14 16 15 13 10 9 9 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 11 11 12 13 13 13 nan
nan 7 8 9 10 10 8 7 7 7 7 7 8 8 7 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 8 7 7 7 7 8 9 9 9 9 9 9 8 8 7 7 8 9 10 10 11 10 9 9 9 9 9 9 9 8 8 7 7 6 7 8 9 10 10 9 8 7 6 6 6 7 7 7 8 8 9 9 9 9 9 10 9 8 8 7 7 8 8 9 9 9 9 9 9 8 7 8 11 15 18 18 17 15 12 11 10 10 11 11 12 12 13 12 12 11 11 10 10 10 9 10 10 11 11 12 12 12 13 13 nan
nan 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 9 9 9 8 7 7 8 9 9 8 7 7 6 7 9 9 10 10 9 9 9 7 7 7 8 8 9 9 9 9 9 9 10 11 12 12 11 9 8 7 6 6 7 8 9 10 10 8 7 6 6 6 7 7 7 7 7 8 8 9 9 10 10 9 8 7 6 6 7 8 9 9 10 10 10 9 9 8 7 8 10 11 13 16 18 19 17 15 13 12 12 12 13 13 13 13 12 12 11 10 10 10 9 10 10 11 12 12 12 12 12 12 nan
nan 8 8 8 8 8 7 7 8 8 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 8 8 9 9 9 8 8 7 7 8 9 9 9 10 10 9 7 6 7 7 7 7 8 8 8 9 10 11 13 14 13 12 10 9 8 8 8 9 9 9 9 9 7 7 6 6 7 7 7 7 7 7 7 8 8 9 10 10 9 7 6 5 6 7 8 9 10 10 11 11 10 9 7 7 7 7 7 9 12 16 18 19 19 18 17 17 18 18 18 17 15 13 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 9 9 8 7 8 8 7 7 8 8 8 8 8 9 9 9 8 7 8 8 9 9 9 9 8 6 6 5 5 6 6 7 8 9 10 11 12 14 13 12 11 10 10 10 10 10 10 10 9 8 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 7 6 6 7 7 8 9 10 11 12 11 10 7 6 5 5 5 5 6 7 10 13 16 19 21 23 26 28 28 26 22 16 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 7 7 7 6 7 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 7 7 6 7 7 7 7 8 9 10 9 8 8 7 8 8 9 9 9 7 5 5 5 5 6 7 8 9 10 11 12 13 13 11 10 10 11 12 12 13 13 12 10 8 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 9 10 11 11 11 10 8 6 5 5 5 5 5 4 5 6 9 12 16 20 25 28 30 30 26 20 13 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 7 7 7 7 6 6 6 6 7 9 9 9 8 8 8 8 8 9 9 8 7 5 5 5 6 6 7 9 9 10 10 11 11 11 9 9 11 13 15 15 15 14 12 9 6 5 5 6 6 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 6 6 6 5 5 5 5 5 6 7 8 10 12 14 18 19 19 16 11 5 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 7 7 7 7 7 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 7 6 6 6 7 7 7 8 8 8 8 9 9 10 10 10 8 6 5 6 6 7 8 8 9 9 9 9 9 8 8 10 13 15 17 16 13 11 8 6 4 3 4 6 7 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 7 8 8 9 9 10 10 9 9 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 10 10 8 3 -4 -6 -1 4 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 nan
nan 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 6 6 7 8 8 9 10 11 12 11 9 7 6 6 6 7 7 7 8 8 9 9 8 8 9 11 13 15 15 12 9 6 4 3 3 4 5 6 7 8 8 8 8 7 6 6 7 9 9 9 8 8 8 7 7 7 7 8 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 3 -2 -6 -4 2 7 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 7 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 8 7 6 6 6 6 6 7 8 9 10 11 11 10 9 8 7 7 6 6 6 6 7 8 9 9 9 9 9 10 12 12 10 7 4 2 2 3 5 6 7 8 8 7 7 7 7 7 7 7 7 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 6 2 -1 -1 5 12 16 17 15 13 11 10 10 10 10 9 9 9 9 9 9 9 nan
nan 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 6 5 6 6 8 9 10 10 9 8 8 8 7 6 6 6 6 7 8 8 9 8 8 8 8 8 7 5 3 1 2 3 5 7 9 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 7 6 7 8 8 8 7 5 5 11 19 25 26 24 21 17 14 12 11 10 10 10 9 9 9 9 9 9 nan
nan 9 7 6 7 8 8 9 9 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 8 8 6 5 4 5 6 7 8 9 9 9 9 9 9 8 7 7 6 6 6 6 7 7 6 6 6 6 5 4 3 2 3 4 5 7 9 10 10 10 9 9 8 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 8 10 14 22 28 30 28 27 26 23 19 14 11 10 10 10 9 9 9 9 9 9 nan
nan 8 7 7 8 9 9 9 8 8 8 7 7 6 7 7 8 8 8 9 10 10 9 9 9 10 10 9 8 8 9 8 6 4 4 5 5 7 7 8 8 9 10 11 10 9 9 8 8 7 6 5 4 4 4 4 4 4 4 3 3 3 5 6 7 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 8 8 8 8 9 9 10 11 11 10 9 9 10 10 10 10 9 9 9 9 9 9 8 8 7 8 9 11 16 20 22 22 22 24 26 25 20 14 10 10 10 9 9 9 9 9 9 9 nan
nan 8 8 7 7 8 7 7 7 7 7 6 6 7 7 8 8 8 9 9 10 10 9 8 9 9 9 9 8 8 9 9 7 5 5 6 6 7 7 7 8 9 10 11 10 10 9 10 10 9 7 5 5 4 4 4 4 3 3 3 3 5 6 7 8 8 7 7 7 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 7 7 7 8 7 8 8 9 10 10 9 8 8 9 9 10 10 10 10 9 9 9 10 10 9 9 9 9 10 11 12 12 13 13 14 16 19 19 17 12 10 9 9 9 9 9 9 9 9 9 nan
nan 8 8 7 7 7 6 6 6 6 6 6 7 7 8 9 9 9 9 10 10 9 9 8 8 7 8 8 8 8 9 10 10 9 7 7 8 7 6 6 7 8 10 10 10 10 10 10 11 9 7 7 7 7 6 5 4 4 4 4 5 6 7 8 8 7 6 6 7 8 8 9 9 9 8 8 8 9 9 9 9 8 8 7 6 6 5 5 6 6 7 8 8 8 7 8 9 10 11 11 11 11 10 9 9 10 10 10 11 11 11 11 11 11 10 9 8 7 6 6 6 7 8 7 7 7 7 8 9 9 9 9 9 9 nan
nan 8 8 8 8 7 6 6 6 6 6 6 7 8 9 9 9 9 9 10 9 9 9 9 8 7 7 7 8 7 8 10 11 11 10 9 8 7 5 5 6 7 8 9 10 10 10 10 9 6 6 7 9 9 9 7 6 6 6 6 6 7 7 8 7 6 6 6 7 8 8 9 9 9 9 8 8 9 9 10 10 9 8 7 5 4 4 4 4 5 6 6 6 7 8 9 11 12 12 12 12 12 11 10 10 10 11 11 12 12 12 11 11 11 10 8 4 0 -4 -7 -8 -8 -8 -2 2 5 7 8 9 9 10 10 10 9 nan
nan 8 8 8 8 8 7 7 7 7 7 6 7 8 8 9 9 9 9 9 9 8 9 10 10 8 8 7 7 7 8 9 10 10 10 10 8 6 5 5 6 7 8 8 9 9 9 10 10 7 7 8 9 10 10 9 8 8 8 7 6 5 6 6 6 6 6 6 7 8 8 9 9 10 10 10 10 9 10 10 10 10 9 8 7 6 6 6 6 5 5 6 6 7 8 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 7 2 -2 -6 -10 -11 -12 -10 -3 2 6 8 9 10 10 11 11 11 10 nan
nan 8 8 9 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 7 7 9 10 10 9 8 8 9 9 9 9 9 9 10 10 7 5 5 6 7 7 8 8 8 8 8 10 11 10 9 9 9 10 10 10 10 10 9 8 6 5 4 5 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 10 8 7 7 6 7 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 10 8 7 6 6 6 5 5 5 5 5 3 1 3 5 7 8 9 10 11 11 12 12 11 11 nan
nan 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 8 9 10 9 9 9 10 10 9 8 8 8 9 9 7 6 6 7 8 8 8 7 7 7 7 8 10 10 10 9 9 9 9 10 10 11 11 11 9 7 5 5 5 6 6 6 6 6 7 7 8 8 8 9 10 10 10 9 8 9 9 9 10 11 12 13 13 11 10 8 7 6 6 6 6 7 8 9 9 9 10 10 11 11 12 11 10 8 7 6 6 6 5 6 8 12 16 20 18 15 12 10 9 9 10 11 11 12 12 12 12 12 nan
nan 8 8 8 8 8 9 9 8 8 8 7 6 6 7 8 9 10 9 8 7 7 7 8 9 9 9 9 9 8 7 7 6 7 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 9 8 8 9 9 9 10 10 11 11 12 12 10 8 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 7 7 7 8 9 11 12 12 12 12 11 10 8 7 6 6 6 6 7 7 7 8 8 9 10 12 12 11 10 8 8 8 9 10 9 10 12 14 18 20 19 16 12 9 8 9 9 10 11 11 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
37 37 38 36 36 37 36 36 36 36 36 37 37 37 38 38 39 39 39 40 39 39 38 38 37 37 37 37 37 36 34 33 32 32 30 26 24 25 26 26 28 29 30 30 31 33 34 36 36 36 35 34 31 27 23 20 15 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 29 45 51 55 64 75 85 86 82 83 88 92 95 98 100 97 86 82 88 92 89 90 92 91 90 88 90 94 95 90 86 80 71 64 60 58 56 52 49 52 52 54 56 58 61 67 72 75 76 79 78 68
38 37 37 35 35 36 36 36 36 37 38 38 38 39 40 40 39 40 40 40 39 39 39 38 39 39 39 39 37 36 34 33 32 31 27 24 24 25 26 28 29 30 31 32 32 32 34 35 36 35 34 32 28 22 20 18 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 37 48 55 63 74 88 94 91 90 92 95 95 95 97 101 104 101 104 111 114 114 114 114 111 106 103 101 99 97 96 93 87 80 74 69 66 63 57 54 54 53 53 56 58 59 60 65 70 73 75 82 76
38 37 37 36 35 36 36 36 36 37 37 38 40 44 47 45 43 43 44 43 42 41 41 42 43 45 44 41 37 36 35 34 33 30 27 25 27 28 30 30 30 30 31 33 33 34 34 35 35 33 30 25 20 19 18 15 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 5 21 41 52 59 67 79 90 95 95 97 98 100 102 101 99 104 109 113 120 130 139 147 150 142 135 130 125 118 108 103 100 96 91 87 82 77 76 72 66 61 57 53 51 52 55 57 57 58 60 66 70 78 80
39 37 37 37 37 37 37 37 38 38 39 42 46 53 58 58 53 53 54 53 49 46 47 49 50 50 46 40 36 34 34 34 32 29 28 31 33 30 29 28 28 28 30 31 31 31 32 32 32 31 27 21 20 19 15 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 0 6 23 45 52 61 69 81 91 95 98 101 104 107 109 110 112 114 117 122 134 146 150 149 147 144 142 143 141 132 120 114 110 103 97 94 90 86 86 85 79 70 62 56 51 49 53 57 58 54 51 57 65 74 80
39 40 40 39 39 39 39 40 41 44 46 48 53 60 63 61 61 62 62 63 61 57 53 52 50 47 41 36 34 33 33 34 32 29 30 32 31 27 26 25 25 26 27 29 28 28 29 30 30 28 24 20 18 16 12 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 33 46 53 63 70 80 91 96 99 102 106 112 115 121 125 126 125 128 136 141 140 139 140 141 142 143 144 139 131 124 118 110 104 102 97 94 93 93 91 83 72 62 54 49 48 50 53 51 46 48 55 64 74
36 41 43 42 41 42 44 44 46 49 52 55 58 58 56 54 53 53 54 54 53 52 51 47 41 36 34 33 34 34 34 33 30 30 30 29 24 23 23 22 21 22 25 27 28 29 29 29 28 26 22 19 17 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 3 17 38 46 55 64 70 77 88 95 96 100 108 117 122 128 134 134 131 130 129 128 131 140 152 155 151 148 147 144 140 136 131 121 115 111 105 100 99 100 100 95 85 73 62 53 48 43 45 46 44 43 47 56 66
30 34 39 41 42 44 45 45 46 46 47 49 50 49 47 47 46 45 45 44 42 41 39 38 36 34 33 33 34 33 31 29 28 28 27 22 20 20 20 20 19 20 23 26 27 28 28 28 27 24 21 18 16 14 10 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 25 37 47 57 64 68 75 85 91 92 97 108 116 119 119 129 132 131 128 124 124 129 133 144 152 155 152 149 146 144 142 142 136 130 124 115 107 105 106 106 102 95 86 72 60 53 47 43 41 41 42 46 53 61
28 28 33 35 37 38 39 40 40 40 39 40 40 42 41 40 39 39 39 39 38 38 37 36 35 34 33 33 32 29 27 27 26 25 22 20 20 18 20 21 20 20 21 22 23 24 26 27 26 23 19 17 16 13 10 7 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 27 39 47 58 64 67 76 86 89 89 95 111 109 105 112 124 129 129 125 120 124 124 128 140 150 155 154 153 152 149 149 145 143 141 138 129 118 112 110 109 106 102 97 85 72 62 55 47 41 38 42 48 56 63
27 27 28 29 31 33 34 34 34 34 33 33 33 34 34 34 34 35 36 36 35 35 34 33 31 31 30 29 27 26 26 25 24 22 20 22 20 18 19 19 19 18 19 19 20 20 22 23 23 20 17 15 14 12 8 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 29 41 51 61 65 68 77 88 90 87 96 113 113 111 117 125 128 126 122 117 119 121 128 139 148 153 154 157 160 161 165 165 160 155 153 146 135 124 117 112 110 106 102 96 85 75 66 57 47 40 41 46 57 66
25 27 27 27 28 29 29 29 29 29 29 30 30 31 32 32 31 31 31 30 28 30 28 27 26 26 25 25 24 25 24 23 21 18 17 18 16 14 14 13 12 14 16 17 18 18 18 18 18 17 15 14 13 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 14 28 39 51 62 67 70 78 90 90 92 103 113 113 116 125 133 135 129 126 123 124 128 134 139 144 146 149 155 163 174 182 177 172 166 161 156 149 142 134 129 119 114 107 102 95 88 80 70 58 47 41 42 51 62
19 22 24 25 26 27 28 28 28 29 30 31 32 32 31 30 27 25 24 23 24 25 23 22 22 24 24 23 22 22 20 17 15 15 14 11 10 11 11 9 9 10 13 13 15 16 16 16 15 14 14 14 12 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 1 14 28 37 47 58 68 71 79 88 92 104 116 118 116 123 136 145 144 138 133 131 134 137 141 144 143 141 144 151 161 173 178 174 168 164 161 161 162 163 154 148 140 130 118 108 102 96 90 83 72 57 49 45 48 54
12 15 19 22 23 24 25 26 27 27 29 28 29 29 28 27 28 28 24 20 20 21 20 20 19 20 20 19 18 17 15 14 13 12 11 9 9 9 8 8 8 7 9 9 10 11 12 14 14 13 13 11 9 5 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 5 17 28 34 42 53 64 67 78 86 95 111 123 122 119 129 140 150 150 144 139 137 140 145 150 150 146 141 142 147 152 156 158 156 153 153 158 162 170 171 164 158 153 145 133 120 111 102 96 92 85 71 60 53 50 50
9 11 15 18 20 21 21 22 24 24 25 25 26 24 22 21 19 17 15 16 16 16 15 16 15 15 14 14 14 13 12 12 11 9 7 7 6 5 5 4 4 4 5 6 7 7 8 9 11 11 10 8 5 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 1 10 21 27 33 42 51 61 67 78 86 95 111 123 120 121 136 153 161 161 155 148 144 145 149 151 152 148 140 139 142 146 149 148 146 143 147 156 160 164 163 160 158 156 151 143 134 124 114 103 100 96 85 73 62 56 55
7 7 10 13 17 18 19 20 21 21 22 20 18 17 16 15 16 16 16 15 13 13 12 12 12 12 12 11 11 10 10 9 7 6 6 5 3 2 2 2 1 1 3 3 4 4 5 5 6 5 5 4 3 2 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 23 27 31 39 48 56 64 73 82 93 109 122 118 121 137 155 167 171 164 155 150 149 150 150 154 148 137 135 138 143 148 150 147 143 151 157 159 157 155 152 150 150 149 145 143 135 127 118 110 104 96 88 75 63 60
3 3 5 9 12 15 16 16 17 17 18 16 15 14 14 14 14 14 13 12 11 11 11 10 10 9 9 8 8 7 6 5 5 4 4 2 1 1 1 1 0 0 1 1 2 2 3 3 3 2 2 3 3 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 4 13 22 26 31 38 46 53 62 72 81 92 110 124 122 120 133 148 166 174 169 160 154 153 155 156 158 150 141 136 137 140 142 147 150 149 152 155 158 156 154 154 153 150 145 144 147 143 138 132 123 112 103 99 87 72 63
1 1 1 4 8 11 12 12 13 14 14 13 12 12 12 11 9 8 7 8 8 7 7 6 6 6 5 5 5 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 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 1 6 14 20 24 28 35 43 50 60 71 79 89 106 127 128 122 131 153 170 179 179 172 166 160 162 161 159 154 147 141 137 137 140 146 149 151 153 156 159 158 155 154 156 155 148 145 147 151 151 145 136 128 115 109 97 84 71
0 0 0 1 3 7 8 8 9 9 9 8 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 2 7 14 18 24 26 33 40 48 58 68 78 85 97 122 127 126 130 145 167 182 185 186 180 168 160 155 159 160 153 145 137 135 137 143 147 151 157 164 166 163 159 154 156 161 161 153 150 157 166 164 150 146 137 124 107 96 85
0 0 0 0 1 3 5 5 5 6 6 5 5 6 5 6 5 6 6 5 5 5 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 1 3 8 13 16 25 27 31 38 47 56 68 80 83 94 115 125 126 125 135 155 172 181 191 185 173 162 159 166 172 168 158 147 139 135 140 145 152 163 173 174 173 169 154 155 161 166 166 163 162 173 181 170 161 153 144 125 109 98
0 0 0 0 0 1 2 3 2 3 4 3 3 3 2 2 2 2 1 2 2 3 2 2 2 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 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 13 17 25 28 31 36 43 53 63 79 81 92 110 122 125 120 122 140 158 172 183 185 178 168 163 170 182 185 177 164 152 142 144 148 155 165 173 176 178 178 169 160 156 160 169 175 176 185 194 188 180 166 156 144 127 111
0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 2 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 4 9 13 18 23 28 32 38 44 52 61 75 80 89 105 119 123 118 115 127 142 157 174 182 179 171 167 171 184 199 196 186 174 162 154 151 154 159 162 166 173 178 177 168 157 153 162 175 182 184 184 192 195 182 169 159 145 129
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 5 9 13 17 23 29 35 38 43 49 59 70 79 87 101 117 126 120 112 114 126 141 162 177 182 180 172 169 180 204 207 202 195 185 172 159 150 150 150 154 164 174 181 178 168 158 157 164 177 187 195 200 202 197 186 171 157 145
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 0 1 4 9 13 18 24 31 40 41 44 50 56 67 78 88 100 114 121 121 113 110 119 134 155 177 190 190 179 169 179 199 210 213 210 197 177 161 148 143 142 147 156 168 178 182 180 172 164 165 175 188 200 207 209 206 199 186 168 156
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 18 26 33 41 45 45 50 56 65 78 90 101 112 123 125 116 114 121 135 155 179 195 198 190 179 181 195 208 212 215 215 188 167 149 141 140 145 152 159 166 173 182 183 184 184 188 192 198 206 214 215 212 202 186 169
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 18 26 33 41 46 45 50 57 65 78 91 101 112 118 122 119 119 125 138 156 178 193 206 197 188 189 196 205 212 216 220 206 182 159 147 144 147 153 157 161 167 180 189 206 216 215 210 206 198 214 221 220 214 202 186
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 19 25 33 41 46 46 49 55 64 76 90 104 113 122 129 128 127 131 141 157 172 190 202 197 189 188 195 206 218 224 224 215 197 177 164 158 154 153 156 169 177 199 210 225 235 236 235 224 204 209 220 225 222 215 203
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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 0 2 5 8 19 22 27 34 41 47 49 51 57 69 85 101 114 122 126 132 143 152 163 178 196 213 219 221 224 221 212 214 232 251 254 247 239 234 225 208 189 169 162 169 191 218 238 247 249 245 234 217 204 200 206 221 238 237 224
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 16 22 25 30 38 47 51 52 57 68 83 98 113 125 132 140 154 171 185 195 208 223 236 247 250 233 214 212 237 261 263 254 253 256 256 243 219 192 172 169 185 211 238 254 260 256 246 229 212 204 207 218 234 238 239
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 13 21 26 30 38 46 51 54 60 68 82 98 114 126 133 143 162 182 202 215 226 237 253 271 268 243 225 219 238 263 276 277 267 265 271 266 244 216 190 178 182 193 218 243 258 265 271 261 237 220 213 214 229 238 243
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 11 21 28 29 35 43 49 55 61 66 77 95 113 129 142 156 170 186 207 230 247 255 260 268 275 254 238 233 243 258 265 264 268 271 272 266 256 248 234 211 188 185 201 224 248 259 268 275 269 251 224 208 221 235 243
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