Vorticity
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nan 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 10 13 14 12 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 4 -1 -4 -2 3 8 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 nan
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nan 7 7 7 7 7 7 8 10 11 11 9 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 9 9 8 7 6 6 7 8 8 8 8 8 8 7 7 7 8 9 9 8 6 5 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 7 5 4 4 5 6 7 9 10 9 6 4 3 3 3 4 6 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 nan
nan 7 7 7 7 7 8 9 11 12 10 9 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 9 8 8 7 6 7 7 8 8 8 8 8 8 7 7 7 8 9 8 7 6 5 4 4 5 6 7 7 7 8 8 8 9 8 8 8 8 7 7 7 7 8 8 8 8 6 6 6 6 7 8 11 12 9 5 3 1 2 3 5 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 7 7 8 8 8 9 10 11 11 10 9 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 8 8 7 7 7 8 9 9 8 7 6 5 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 9 12 12 8 4 1 -1 1 3 5 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 nan
nan 7 7 8 8 8 8 10 11 10 9 9 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 9 8 8 8 8 7 8 9 9 9 8 8 7 7 7 8 8 8 8 7 6 5 4 4 5 6 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 10 9 7 3 -1 -2 1 4 5 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 nan
nan 7 7 7 7 7 8 10 11 11 10 9 8 8 8 8 8 8 7 8 8 8 8 9 8 8 8 8 9 9 9 8 8 8 8 9 8 7 7 7 7 7 8 8 9 10 10 9 9 9 8 8 9 9 9 9 8 7 6 6 7 7 8 8 8 7 7 6 5 4 4 5 7 8 9 10 9 9 8 8 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 6 3 -0 -0 2 4 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 nan
nan 6 6 6 6 8 9 11 11 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 9 9 10 10 10 9 8 8 9 10 10 10 9 8 7 6 5 5 6 6 7 7 7 7 7 6 4 4 5 6 8 9 9 9 9 9 8 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 4 4 5 5 5 5 5 6 6 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 6 6 7 8 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 7 8 9 11 11 11 10 9 8 8 8 8 8 9 9 10 10 9 9 8 8 10 11 11 10 10 9 7 6 5 5 6 6 6 7 8 8 6 5 4 4 5 7 9 9 9 9 9 8 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 7 6 5 5 5 5 6 7 7 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 6 7 8 9 9 10 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 6 6 8 9 10 10 9 8 8 8 7 8 9 10 10 10 10 9 9 8 9 10 11 11 11 11 10 9 8 7 7 7 6 7 8 8 8 6 4 4 4 6 8 9 9 9 9 8 7 7 6 7 7 7 8 9 9 8 7 7 8 8 8 8 8 8 7 6 6 5 6 6 8 9 9 8 7 6 5 5 5 6 7 8 9 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 7 8 9 9 10 10 10 9 7 6 6 7 9 10 9 7 7 7 7 8 9 10 10 9 9 8 8 9 10 11 11 11 11 11 11 10 9 8 9 9 9 8 8 8 7 5 4 4 6 8 9 9 9 9 8 7 7 6 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 7 6 6 5 6 7 8 9 9 9 8 8 8 6 6 6 6 8 10 12 11 10 8 6 5 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 7 8 9 9 8 7 6 6 6 7 7 7 8 8 8 8 8 9 9 10 10 11 11 9 7 7 7 8 9 8 7 6 6 7 8 10 10 10 8 8 8 8 8 10 11 12 12 11 11 10 9 8 9 10 11 10 9 7 5 5 4 4 5 7 9 10 9 9 8 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 8 8 8 8 7 6 5 6 7 8 9 9 9 8 8 8 7 7 7 7 8 11 14 15 13 10 6 3 3 5 7 8 8 9 9 9 9 9 9 9 8 8 8 8 nan
nan 8 8 8 8 7 7 8 9 9 9 7 6 6 6 6 7 8 8 8 8 7 8 8 9 9 11 12 11 10 9 8 8 8 8 8 7 6 6 7 8 9 10 9 8 8 7 8 9 10 11 11 11 11 10 9 8 9 10 12 12 11 8 4 3 3 4 5 7 9 10 9 8 8 7 7 6 7 7 8 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 6 6 7 8 9 9 9 8 8 7 7 7 7 8 9 10 12 14 14 11 6 -0 -3 1 6 8 9 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 9 9 8 7 7 7 8 9 10 10 9 7 6 6 6 7 7 8 7 7 7 7 7 8 9 10 11 11 10 9 9 9 9 9 9 8 7 7 7 7 8 9 9 8 8 8 9 9 10 10 10 9 9 8 9 9 11 12 13 13 10 5 1 1 2 4 7 9 10 10 9 8 7 7 6 6 7 8 9 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 9 8 8 8 7 6 7 7 8 9 9 10 11 9 5 -3 -10 -7 1 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 8 8 7 7 8 8 9 10 10 9 7 6 6 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 9 9 9 9 10 10 9 9 8 8 8 8 9 10 12 14 14 12 7 2 -1 -0 3 6 9 10 10 9 8 7 7 7 6 7 7 9 10 10 9 8 7 7 7 7 6 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 7 8 8 8 8 8 5 -2 -10 -12 -4 4 8 10 10 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 8 8 8 7 7 8 10 11 10 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 10 9 8 8 7 7 7 8 8 9 10 10 10 9 8 7 8 8 9 9 10 11 13 12 8 3 -1 -1 1 6 9 11 10 9 7 7 6 7 7 7 7 8 9 10 10 9 8 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 7 2 -5 -10 -6 3 9 11 11 10 9 9 9 9 9 9 9 9 8 9 9 9 nan
nan 9 9 9 9 9 8 7 7 8 10 11 11 9 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 9 9 10 10 9 9 9 9 9 8 9 9 10 8 3 -0 -1 1 6 10 13 13 10 8 6 6 6 7 7 7 8 8 9 10 10 9 8 7 6 6 6 7 7 8 8 8 8 8 9 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 5 0 -5 -5 3 11 15 14 11 10 9 8 8 9 9 9 8 8 8 9 9 9 nan
nan 9 10 9 9 9 8 8 8 8 10 11 11 10 9 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 8 9 10 11 11 10 9 8 8 7 8 7 4 2 0 2 6 11 14 15 13 9 6 6 6 7 7 8 8 8 9 9 9 9 8 8 7 6 6 7 7 8 8 8 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 7 5 3 2 6 14 19 18 14 11 9 8 7 7 8 8 8 8 8 9 9 9 9 nan
nan 10 9 9 9 9 8 8 9 9 9 10 10 10 9 8 7 6 6 6 7 7 7 7 7 7 8 8 9 8 7 7 7 8 7 8 8 9 9 9 9 8 7 7 7 6 6 6 8 10 10 10 10 9 8 7 7 6 5 4 3 3 6 9 13 14 13 10 7 6 7 8 9 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 9 15 19 19 16 12 9 8 6 5 5 6 8 8 8 8 8 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 7 6 6 7 8 7 7 7 7 8 9 8 7 6 7 7 6 6 7 8 10 10 10 9 7 7 8 7 6 5 6 7 9 9 9 9 8 7 6 6 6 5 5 6 8 11 12 11 8 6 5 7 8 9 10 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 9 10 11 13 14 13 11 9 8 5 3 2 3 6 8 8 8 8 8 8 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 8 8 7 7 8 8 9 9 8 7 7 7 7 6 7 9 10 10 10 9 9 9 10 9 8 6 5 4 5 6 7 7 7 6 6 5 5 5 5 7 9 10 9 7 5 5 6 9 10 10 10 9 8 7 8 8 8 7 7 7 8 7 7 7 8 8 8 8 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 5 2 -1 -2 2 6 7 8 8 8 8 8 9 9 nan
nan 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 9 9 9 9 8 8 9 8 7 7 8 9 9 9 9 10 11 11 11 10 8 5 2 2 4 6 7 7 6 5 5 5 5 6 7 8 9 8 6 5 6 8 10 10 9 9 8 8 7 8 8 8 7 8 8 8 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 7 8 9 9 9 8 6 5 4 2 1 -3 -7 -6 1 5 7 8 8 8 8 8 9 9 nan
nan 8 8 9 9 9 9 9 8 9 9 8 8 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 9 10 10 9 8 7 7 7 8 9 10 11 12 12 12 9 6 3 3 5 7 8 8 7 6 6 6 6 6 7 8 8 7 7 6 7 9 9 8 8 8 8 8 7 8 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 7 7 8 8 9 9 7 3 -0 -3 -4 -5 -8 -11 -6 1 5 7 8 8 8 8 8 8 9 nan
nan 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 7 8 9 10 10 10 9 9 8 8 9 10 10 9 8 7 7 7 8 8 10 11 12 12 12 10 8 7 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 7 7 8 8 8 8 8 9 9 9 8 7 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 7 7 8 8 8 8 7 7 7 8 8 9 8 6 2 -1 -3 -4 -5 -7 -6 -0 4 6 7 7 8 8 8 8 8 8 nan
nan 8 8 8 9 9 9 9 8 8 8 9 9 9 8 7 6 6 7 8 9 9 7 7 8 8 8 8 8 8 8 8 9 8 8 8 7 6 6 7 8 9 9 10 10 11 11 10 9 9 9 9 8 7 7 7 7 9 9 8 7 6 6 7 7 7 7 7 7 6 6 7 8 8 7 9 10 10 9 7 6 6 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 8 7 7 8 8 9 9 8 7 6 5 4 3 1 -0 1 4 5 6 7 8 8 8 8 8 8 8 nan
nan 8 8 8 8 9 9 9 8 8 8 8 9 10 9 7 6 6 6 8 9 8 7 7 7 6 7 8 8 9 10 10 10 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 9 8 8 7 7 7 7 7 7 6 5 5 6 7 7 7 9 9 9 7 6 6 7 8 9 9 9 10 9 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 4 1 1 2 5 6 7 8 8 8 8 8 8 7 nan
nan 8 8 7 8 8 9 9 8 8 8 9 9 9 8 7 6 6 6 8 8 8 7 7 6 6 7 8 10 11 11 11 10 10 9 9 8 6 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 10 9 8 7 7 7 7 6 5 5 6 7 7 8 8 8 7 6 6 7 8 9 10 10 9 9 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 5 -0 -3 -2 1 5 6 7 8 8 8 8 8 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
83 58 44 38 35 41 32 21 24 26 26 25 23 22 22 24 32 34 31 47 70 80 76 64 56 53 52 52 50 45 41 43 41 38 34 32 30 28 24 22 24 30 34 37 43 45 43 43 46 46 39 30 30 35 34 33 34 37 41 48 59 70 73 62 38 30 23 17 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 2 11 19 15 10 9 10 5 7 12 16 16 15 17 20 24 25 28 29 30 25 28 35 37 33 31 31 30 28 26 25 22 23 24 24 23 22 20 20 21 21 22 27 34 45 51 51 48 43 39 36 37
108 87 70 63 64 54 46 42 42 39 33 28 26 23 19 22 34 39 46 63 76 77 72 70 67 60 55 53 53 50 48 46 43 40 38 36 35 34 30 30 29 34 31 34 41 43 41 41 42 43 44 46 57 49 37 32 30 31 33 37 44 50 58 60 44 34 27 19 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 16 16 13 12 12 7 7 9 12 15 17 22 27 31 33 32 33 33 35 40 44 44 41 37 35 33 33 33 32 31 30 30 31 33 32 25 23 22 23 24 26 31 43 53 57 59 55 52 54 48
105 92 89 80 79 64 62 60 56 50 41 34 29 25 18 25 37 46 59 76 84 81 82 88 88 75 67 61 62 62 62 62 62 61 57 52 53 59 61 53 52 50 42 40 43 45 45 45 44 39 47 55 63 53 44 38 35 36 38 40 50 62 59 53 42 34 28 20 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 15 16 13 13 12 10 9 10 13 17 24 34 36 39 39 39 42 44 44 45 49 49 46 42 36 36 35 35 34 34 35 37 38 37 32 26 24 24 26 28 31 40 50 58 60 61 65 79 75
114 110 110 105 100 95 86 75 65 57 49 41 35 31 25 32 42 47 59 71 72 78 91 103 107 87 74 69 71 76 83 88 91 96 93 86 93 104 115 105 95 82 69 61 55 51 50 50 48 44 48 54 60 63 67 63 54 51 53 49 55 69 60 43 34 30 27 21 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 2 8 11 14 15 13 14 14 15 16 17 13 21 29 34 40 42 42 43 43 44 45 47 48 47 48 44 40 38 36 36 36 37 38 39 41 41 38 33 30 28 29 32 32 34 40 51 55 60 64 72 77
151 147 140 129 130 127 115 99 81 66 56 51 48 42 33 33 35 40 48 61 69 75 88 103 107 91 83 83 85 92 102 107 112 125 139 144 148 150 155 145 133 120 100 85 74 64 58 55 50 46 46 48 54 62 77 87 78 65 68 63 58 49 52 44 33 28 26 23 17 12 8 5 4 0 0 0 0 0 0 0 0 0 0 1 6 7 10 12 13 14 16 18 21 21 19 23 24 28 35 38 38 38 38 37 37 40 41 40 42 43 42 40 38 37 37 37 38 40 42 44 45 41 34 30 31 32 32 33 31 35 42 48 50 51 57
148 156 152 146 157 150 135 118 99 84 78 77 71 59 48 45 48 55 61 77 85 88 101 104 103 108 111 122 130 124 120 119 120 132 146 153 159 168 175 171 158 149 132 114 101 88 76 67 58 50 47 44 46 45 55 72 77 69 66 61 54 46 44 40 31 25 24 22 19 14 11 6 3 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 12 14 18 20 23 24 25 25 24 26 30 32 33 33 33 34 34 36 41 41 43 44 44 40 37 38 37 36 36 38 40 45 52 50 43 35 31 30 33 33 33 33 35 38 39 41 47
140 151 185 189 194 183 160 135 115 101 97 100 98 89 75 89 109 92 89 111 121 119 123 132 143 139 143 176 198 183 167 160 152 148 147 152 154 153 160 158 157 163 162 153 141 127 109 86 70 54 46 38 38 35 37 47 56 56 52 67 53 46 43 37 29 24 22 20 15 11 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 16 20 24 28 27 26 26 27 29 31 32 33 35 39 41 45 46 46 43 42 42 38 35 37 37 37 37 37 36 38 45 52 51 45 35 30 31 35 39 39 39 39 38 39 39
236 233 248 245 236 217 179 140 115 100 93 99 112 107 103 124 142 139 133 138 150 160 167 171 190 195 197 223 241 237 233 233 221 204 187 187 164 163 169 175 172 173 182 187 187 179 147 111 79 56 42 29 21 19 21 26 29 30 38 85 74 58 46 36 29 24 22 18 11 6 3 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 3 7 10 15 20 24 25 28 29 30 30 32 33 33 35 37 45 49 50 49 47 42 37 38 37 37 36 37 38 38 38 36 36 39 46 51 51 45 37 33 34 38 42 41 40 40 39 40
396 367 340 319 296 245 182 138 115 100 93 89 97 116 129 139 144 144 148 159 171 179 193 201 229 269 264 263 269 273 278 277 264 258 234 223 214 205 197 188 177 175 189 213 219 233 173 130 87 55 36 23 15 14 15 16 22 49 51 73 66 47 35 30 24 21 19 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 8 12 18 23 27 29 30 31 33 34 34 36 37 42 48 54 56 54 52 49 44 39 39 39 39 38 39 41 41 41 40 38 36 39 45 50 50 47 43 39 38 41 41 41 41 40 40
522 492 456 408 344 255 182 143 120 105 102 93 100 125 143 155 165 170 174 182 189 212 251 250 265 292 293 295 298 300 315 334 312 257 237 208 223 223 206 183 166 165 186 233 227 241 188 148 105 67 51 39 25 30 32 27 29 62 51 40 32 25 25 22 11 12 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 16 19 24 29 34 34 34 36 40 39 36 40 43 48 55 62 62 57 53 50 48 47 47 46 43 43 43 44 45 45 45 44 39 39 41 45 49 51 51 49 47 47 46 45 44 43 42
575 561 539 432 315 220 158 127 109 99 101 93 99 130 161 190 216 223 214 208 212 226 249 251 254 269 287 292 286 283 305 341 314 265 278 274 256 245 234 206 182 182 188 227 203 217 228 232 225 173 133 122 96 99 87 70 76 94 66 37 23 15 7 4 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 17 26 27 30 32 35 41 44 44 44 46 47 46 44 47 51 58 66 72 67 59 55 52 49 51 53 56 55 52 50 48 46 47 48 48 46 44 42 43 45 48 50 52 52 52 51 49 47 46 45
515 494 439 317 220 163 129 111 105 99 100 96 113 152 190 222 244 250 236 202 191 193 205 196 193 202 221 230 228 234 259 287 289 281 290 303 290 299 319 313 284 255 234 238 232 250 306 339 371 349 278 231 188 164 152 135 147 164 124 76 48 29 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 16 28 41 53 58 63 70 74 71 62 54 54 52 52 52 55 59 62 65 67 67 64 61 62 59 60 61 61 61 59 55 51 47 46 48 51 55 51 47 45 43 43 45 48 50 52 52 51 50 48 47
358 333 249 187 156 135 119 111 112 112 113 107 141 177 204 221 224 212 193 164 137 122 113 115 122 129 149 168 178 194 217 236 257 273 291 312 351 390 416 439 445 406 368 356 378 385 420 434 450 454 408 345 288 254 232 195 194 200 175 131 90 61 34 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 3 8 16 25 49 80 104 116 123 124 117 108 100 88 75 70 70 68 67 69 70 70 71 82 79 91 97 98 108 111 96 76 68 62 58 53 49 49 49 51 54 54 48 42 39 41 45 45 48 50 51 51 49 48
228 226 199 182 173 151 128 126 124 125 137 140 157 177 194 201 195 179 163 147 131 128 116 110 116 122 129 140 157 185 212 236 259 287 331 377 421 454 477 507 553 584 547 522 533 521 535 554 565 572 547 481 398 330 292 236 212 203 182 146 109 79 10 8 1 0 0 0 0 1 2 2 1 2 2 2 1 0 0 1 3 7 13 21 34 67 110 149 167 170 164 153 144 138 131 127 111 101 96 94 97 103 111 123 138 133 155 161 159 163 171 161 118 92 82 72 67 57 51 48 47 51 58 54 46 40 39 42 45 48 51 52 51 48 49
265 296 280 282 285 233 148 139 135 139 158 170 178 184 189 191 190 182 167 159 151 153 160 163 167 175 180 181 191 215 244 262 270 296 347 398 444 490 530 567 638 679 658 640 645 641 634 626 624 631 627 572 486 404 329 266 222 193 170 141 104 70 6 11 5 1 0 0 0 1 2 3 2 3 2 1 0 0 0 2 6 13 21 29 46 75 106 139 165 177 177 175 176 172 163 163 150 140 135 134 138 148 170 189 194 197 214 227 230 220 209 220 199 170 137 117 105 90 73 59 53 51 53 55 54 44 39 39 43 47 51 52 52 51 52
290 358 409 427 414 341 195 167 153 161 175 190 204 215 213 205 203 194 182 176 175 177 184 195 207 218 225 230 238 248 274 263 267 304 368 435 487 524 557 583 675 696 679 662 650 626 576 513 473 469 464 472 446 412 363 299 235 189 162 137 117 49 15 8 4 1 0 0 0 1 1 2 1 1 1 0 0 0 1 5 12 20 27 34 46 73 100 124 148 168 178 185 189 186 178 180 178 171 166 164 170 182 212 228 247 263 280 298 316 330 334 311 289 241 198 191 178 149 121 91 72 59 48 49 52 46 39 35 36 39 43 46 46 47 50
326 380 395 351 313 299 211 191 191 195 202 220 244 257 247 232 235 217 207 205 207 216 227 241 259 271 269 267 275 281 307 299 301 336 387 434 467 492 510 523 578 590 585 571 543 491 427 370 304 290 311 328 344 345 328 290 237 187 155 125 97 42 14 7 4 2 1 2 2 1 0 0 0 0 0 0 0 1 4 10 16 25 33 41 50 75 102 122 144 163 179 185 184 185 185 187 190 194 200 200 203 220 247 275 301 326 347 363 380 412 441 452 442 335 262 254 245 208 173 147 137 111 76 60 57 52 43 36 35 37 34 36 39 43 47
409 345 223 124 110 158 171 190 208 239 259 278 285 276 264 262 253 240 242 247 254 270 287 307 339 360 351 336 341 349 363 369 384 407 421 411 395 414 436 453 474 470 472 468 446 411 380 369 331 319 310 303 299 295 285 262 224 172 119 70 39 19 12 9 7 5 4 6 3 2 0 0 0 0 0 0 1 3 9 17 22 34 42 55 73 90 105 120 139 154 174 178 180 184 186 192 205 219 235 240 246 266 292 318 347 377 400 417 432 460 486 510 559 509 429 372 319 271 244 218 229 205 160 118 90 73 48 47 59 59 41 31 33 38 42
352 259 160 98 80 100 152 219 243 344 373 386 363 309 279 276 264 260 285 307 324 362 398 435 480 521 536 525 501 490 485 477 483 492 498 505 497 481 465 471 469 452 443 432 411 384 367 358 346 329 309 291 265 245 230 214 194 140 86 50 27 15 10 9 8 8 9 8 4 2 0 0 0 0 0 0 1 7 14 24 32 42 53 69 87 100 109 119 138 148 167 179 184 193 202 210 228 247 267 275 286 308 338 365 393 425 455 480 498 507 514 537 584 613 605 561 462 373 347 327 330 322 300 242 157 117 86 86 90 91 72 57 48 42 37
233 204 161 121 104 112 154 218 327 461 457 413 364 302 268 274 306 350 368 401 431 486 545 587 610 625 640 663 674 656 659 635 600 585 588 598 601 591 563 521 488 459 427 397 369 337 319 304 287 276 257 241 215 189 175 166 150 105 75 55 32 18 12 11 10 9 9 7 5 3 1 0 0 0 0 1 5 12 20 29 40 52 64 84 107 116 118 122 137 154 177 195 207 220 236 247 266 288 306 324 335 354 384 415 444 475 514 551 589 591 585 591 619 661 701 730 665 565 500 431 381 385 414 383 273 203 153 122 98 101 115 119 103 71 36
201 211 203 195 181 152 139 132 171 273 344 404 425 360 294 373 510 622 527 454 436 444 464 481 477 464 459 467 500 561 642 699 709 678 651 651 648 609 563 481 424 381 341 306 276 250 241 230 226 215 206 190 167 148 139 133 111 87 69 53 34 21 16 13 11 8 7 7 7 4 1 0 0 0 1 7 14 18 27 37 50 63 78 101 134 143 134 135 149 175 207 229 239 251 271 294 318 343 361 385 405 424 446 471 499 520 571 613 656 679 688 689 699 731 758 812 804 761 711 623 512 457 473 459 392 325 261 190 135 122 140 154 141 113 68
190 211 209 186 158 123 93 69 58 79 133 200 226 230 329 391 392 370 284 255 256 250 230 212 220 238 246 234 252 340 483 618 686 694 701 672 627 544 485 398 316 256 216 190 174 166 178 177 176 168 156 142 130 123 107 96 80 67 51 35 23 15 12 11 9 5 4 9 10 7 4 3 3 1 6 15 22 26 34 44 58 73 92 125 164 167 158 165 188 219 249 269 278 290 315 347 379 404 417 432 452 472 494 521 551 566 615 658 699 738 775 811 833 836 843 896 914 907 921 891 746 624 571 542 493 440 379 296 224 184 161 161 155 147 120
161 162 138 88 70 65 46 31 20 13 20 37 52 74 116 136 131 116 85 80 91 102 109 116 141 167 189 196 214 281 403 547 642 649 685 650 566 490 400 300 216 161 122 96 98 103 117 126 130 131 127 121 118 107 72 60 51 38 26 15 8 6 9 7 5 6 5 8 9 8 8 7 7 7 14 21 26 31 38 50 66 86 109 138 168 178 190 216 248 276 296 311 324 342 365 388 413 431 439 446 465 496 535 561 590 612 645 686 734 785 833 881 892 881 948 1004 974 938 936 886 772 695 659 642 604 559 506 445 387 324 235 204 187 189 194
90 79 65 45 42 37 18 6 2 5 16 31 42 50 55 56 55 51 45 41 41 49 66 89 126 162 213 263 285 306 367 519 744 815 698 607 499 392 288 203 143 101 65 43 50 55 63 74 80 82 85 94 107 77 49 37 25 15 10 7 7 9 8 7 5 3 4 4 4 6 9 8 8 8 14 21 27 33 41 53 69 88 110 134 157 185 225 267 301 326 343 355 363 379 395 400 404 408 411 418 439 478 526 558 583 611 646 691 750 814 854 875 858 892 1007 1038 954 854 776 703 641 623 624 635 632 621 601 567 545 512 393 315 259 238 261
29 21 16 12 18 17 9 5 12 26 59 103 110 87 61 41 27 24 21 20 24 34 50 77 121 160 199 227 228 270 375 503 643 673 619 501 364 230 153 114 79 47 28 21 24 25 24 24 25 29 31 35 55 33 26 18 9 4 4 5 7 10 9 7 7 6 6 5 4 5 8 9 8 9 17 22 26 34 44 55 68 84 105 123 139 181 230 273 306 337 362 364 362 363 361 353 343 333 329 341 363 412 470 509 542 583 632 680 733 778 794 759 679 733 878 967 941 845 700 618 563 527 517 534 564 601 637 634 683 646 555 471 386 321 317
21 11 12 14 23 24 21 18 22 31 63 114 117 71 45 22 6 4 3 1 5 14 21 41 90 142 190 200 233 339 461 526 549 542 447 278 170 100 62 44 25 14 11 12 12 11 10 9 8 7 6 6 4 6 7 5 2 1 1 2 5 7 7 8 9 9 8 8 8 8 9 11 12 13 20 27 32 37 45 52 58 69 83 105 123 147 180 212 243 273 302 299 280 259 250 249 245 235 228 229 248 294 357 404 448 518 596 640 682 698 643 529 392 408 584 764 818 745 622 563 506 461 445 453 476 519 585 610 627 626 601 572 527 467 447
31 24 31 35 41 46 39 32 26 19 23 42 45 17 3 2 2 1 1 1 1 2 6 27 86 144 215 289 378 463 498 489 437 363 253 96 36 23 12 7 6 4 5 7 5 4 3 3 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 5 8 9 8 8 8 9 11 14 16 20 29 37 38 37 37 38 41 49 59 74 90 106 123 141 156 176 190 186 169 149 141 142 147 149 145 141 154 181 222 266 323 401 480 541 622 646 521 362 284 295 378 476 552 530 492 467 446 428 416 413 422 449 502 548 580 588 583 583 591 587 588
32 34 44 48 51 55 50 40 28 19 16 10 4 5 2 9 10 6 2 1 1 4 27 94 171 182 222 321 425 468 417 277 152 46 14 8 6 4 2 3 3 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 7 8 10 11 16 28 35 36 30 22 19 21 22 27 35 45 55 66 79 92 91 101 108 112 102 86 79 78 84 91 91 91 98 113 135 168 217 266 319 411 531 596 564 482 400 343 309 318 401 425 410 398 417 432 431 420 418 421 432 468 512 550 573 577 590 583 576
31 40 51 53 55 57 53 45 32 19 19 22 10 34 23 19 18 14 7 0 1 6 72 160 208 184 177 216 273 305 224 39 11 3 1 1 1 1 1 2 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 2 2 2 4 3 4 6 10 14 16 16 10 5 5 6 7 8 11 16 26 35 44 48 54 61 67 73 71 60 58 56 58 60 65 68 77 90 107 130 158 168 194 245 333 423 494 550 575 548 502 474 521 561 552 517 506 498 475 457 449 432 419 421 446 484 524 557 584 597 572
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