Vorticity
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nan 13 15 17 17 15 13 10 7 4 2 3 5 5 4 5 7 7 5 5 4 6 9 9 7 9 11 13 16 14 10 7 8 9 11 12 13 10 8 7 7 7 6 6 8 6 4 2 4 9 9 8 8 9 9 11 17 18 11 2 0 7 14 16 11 6 8 11 11 16 22 23 19 14 11 9 10 9 8 5 3 3 6 10 12 11 11 12 13 11 7 3 -2 -3 -3 -1 2 4 5 5 5 5 7 9 12 16 18 16 13 10 10 10 10 11 10 8 6 6 5 5 7 10 12 12 11 9 8 6 3 -3 -2 -1 3 8 8 6 2 -0 -4 -5 1 7 7 4 3 3 3 5 7 9 11 12 12 13 13 14 17 19 16 15 13 14 16 18 18 19 20 19 nan
nan 15 16 20 22 19 16 12 8 6 5 4 2 2 2 3 5 4 4 5 6 8 9 9 8 10 11 11 13 10 6 6 7 8 11 15 16 15 10 10 10 9 7 6 7 5 4 4 8 9 6 5 9 10 9 9 12 14 13 10 6 6 12 15 16 14 13 14 15 18 20 18 14 10 10 10 11 11 9 6 4 6 10 14 15 12 9 7 9 13 13 9 6 4 2 0 3 6 7 7 6 6 6 7 8 6 6 10 12 11 9 11 12 12 10 9 7 7 8 8 9 12 13 14 13 12 10 10 7 4 5 6 5 8 5 -1 -1 1 3 2 7 12 14 14 12 10 9 10 12 13 14 13 12 13 17 21 24 24 21 16 11 9 8 9 11 13 17 21 nan
nan 11 12 18 22 21 17 11 6 5 5 5 4 4 5 6 6 5 6 8 10 10 10 11 13 13 11 10 10 8 6 10 9 8 10 14 15 18 19 17 14 13 12 10 8 8 8 10 13 11 7 6 8 8 9 10 10 10 10 11 11 11 13 14 16 16 15 14 17 21 19 14 11 11 13 13 12 11 10 7 6 10 16 19 16 11 6 4 5 12 14 13 13 15 14 11 9 8 7 7 8 7 6 5 3 -2 -1 3 6 8 6 7 9 11 12 10 8 8 10 11 13 14 13 14 13 12 10 9 7 9 14 16 13 11 8 2 2 6 12 14 18 22 23 21 18 15 13 14 15 13 12 10 10 15 19 20 18 15 14 11 8 6 4 3 4 6 9 13 nan
nan 8 10 12 18 16 13 9 6 5 4 4 8 10 11 11 10 9 10 11 10 10 10 12 14 13 9 9 9 8 9 11 8 6 7 12 13 15 21 23 22 21 18 16 15 14 10 13 15 12 9 8 9 10 12 11 10 10 10 11 13 14 14 14 15 14 12 13 16 19 16 12 13 15 17 16 12 9 9 9 10 15 20 22 16 8 5 5 7 13 13 11 11 14 17 18 13 8 6 6 8 8 7 4 2 0 2 4 4 6 7 6 7 10 12 11 10 10 11 12 13 12 11 11 10 10 11 12 12 15 19 18 16 15 18 15 12 14 17 19 20 23 22 19 17 16 15 15 13 11 10 10 13 18 19 17 12 9 7 7 7 8 7 4 2 2 4 7 nan
nan 12 9 11 12 8 10 13 15 13 9 7 7 10 13 12 12 13 12 10 8 8 9 10 12 10 8 8 9 8 11 12 7 6 9 13 13 9 14 18 22 21 17 15 17 14 9 11 14 12 12 13 16 17 15 13 14 14 14 14 14 15 16 18 16 12 11 13 16 16 15 15 19 21 19 14 10 6 6 8 10 16 19 18 13 7 6 6 7 11 13 11 7 8 11 14 13 8 7 8 9 8 6 3 2 2 3 3 4 5 7 7 7 6 8 10 11 12 11 11 10 8 7 7 8 11 14 14 14 11 11 9 10 13 16 16 15 15 16 15 15 16 15 13 13 13 13 12 11 11 12 16 21 24 20 15 11 11 11 10 11 12 11 7 4 4 5 5 nan
nan 14 7 9 7 7 12 15 16 16 15 14 13 12 10 10 11 13 11 8 8 9 10 10 11 9 6 5 8 9 14 15 11 6 10 15 14 9 7 10 15 15 13 11 12 11 10 11 13 13 16 18 19 19 17 15 15 16 17 16 14 14 17 18 14 10 10 12 13 13 14 17 21 22 16 10 6 5 4 5 8 12 13 11 10 7 7 7 5 5 10 12 8 6 8 8 7 7 9 11 11 10 6 3 3 3 3 4 6 7 10 10 8 5 5 6 7 7 7 6 5 4 5 6 9 10 11 10 9 3 -0 2 6 8 7 6 7 9 9 9 10 9 9 9 9 10 10 10 10 13 16 21 24 24 18 11 7 8 10 12 13 13 11 7 6 6 6 4 nan
nan 5 4 10 10 8 10 9 6 7 9 11 12 14 13 10 10 9 8 9 12 16 15 12 11 10 5 4 8 11 13 13 8 6 12 16 14 9 7 10 12 14 13 11 6 7 9 11 12 12 14 16 18 17 16 17 14 12 14 17 15 12 12 11 8 7 9 10 10 11 11 13 18 18 14 7 3 2 2 4 7 9 11 9 9 9 9 12 12 8 8 10 9 7 9 7 5 7 10 12 11 9 6 5 5 5 6 9 13 13 12 9 9 8 6 4 3 4 4 4 3 3 6 9 11 10 8 4 2 1 -0 2 4 5 3 0 -0 1 2 4 7 8 7 6 7 8 8 10 12 15 18 19 18 16 12 6 4 5 7 9 8 7 6 6 6 7 6 4 nan
nan 1 6 10 7 5 12 17 9 5 4 4 5 5 5 5 6 8 9 12 17 20 19 12 9 9 6 6 8 10 10 10 9 11 12 11 9 9 10 12 11 10 11 9 4 4 4 7 10 10 11 12 14 17 18 18 13 10 12 16 15 10 7 5 5 7 7 6 7 9 12 13 15 15 13 9 3 -0 1 4 9 13 15 13 12 13 12 14 19 15 11 10 11 11 12 8 5 7 10 12 10 8 6 6 6 7 8 10 15 16 13 9 9 9 8 5 5 6 8 9 9 11 13 13 12 11 7 2 -1 -1 -0 1 0 -0 -1 -2 -2 -2 -1 3 6 6 5 4 5 6 10 14 17 16 15 12 10 10 9 6 5 7 9 8 4 2 4 7 8 8 7 7 nan
nan 6 7 6 2 4 14 20 14 7 7 6 3 -0 1 3 6 9 12 15 18 19 17 11 6 6 6 9 9 9 10 11 14 13 9 6 7 9 11 8 7 6 9 10 8 2 -1 3 7 10 11 12 13 16 20 19 13 9 11 12 9 6 4 6 8 9 6 3 4 8 12 15 14 14 14 14 10 4 2 7 13 17 16 15 15 16 14 11 17 20 17 16 15 15 16 12 8 9 11 11 10 9 8 8 9 10 8 8 11 14 13 11 10 10 9 8 8 10 11 13 17 20 20 17 13 11 9 7 5 3 3 3 2 -1 -1 -1 -1 0 2 6 9 9 6 4 5 8 14 19 20 14 8 6 7 9 10 9 6 7 9 11 8 6 8 10 11 11 11 11 nan
nan 9 9 9 5 8 13 11 9 8 7 6 5 8 9 9 10 13 15 15 15 15 14 12 7 5 7 9 8 8 9 11 13 15 11 8 8 11 10 4 3 6 11 10 9 4 0 1 6 9 12 13 11 15 21 21 14 9 9 8 6 3 2 7 10 9 5 4 5 8 10 12 11 10 12 14 14 8 4 7 11 12 11 12 14 16 13 9 14 22 17 14 9 11 15 16 13 13 13 12 11 12 12 13 13 13 11 10 11 12 12 12 11 10 9 9 10 10 11 12 15 19 18 15 13 13 11 10 12 13 15 17 17 14 9 5 4 5 8 12 15 14 11 8 8 12 17 19 16 9 5 4 5 8 9 6 4 5 9 12 13 13 15 16 17 17 17 16 nan
nan 6 12 9 7 9 13 10 9 10 9 8 11 13 14 12 11 14 16 14 11 10 12 11 8 5 8 9 7 6 8 10 13 15 14 11 8 9 8 6 3 8 11 11 9 6 1 2 7 9 11 11 11 16 21 20 14 8 7 7 6 5 7 10 9 5 4 5 8 9 11 12 10 8 7 8 9 6 3 5 7 6 7 10 12 11 8 8 9 12 12 10 5 3 9 13 13 14 14 15 16 17 16 16 15 15 15 12 10 10 10 10 9 8 8 8 8 8 8 8 10 11 12 12 12 12 12 11 12 15 20 26 30 30 25 19 13 11 14 16 16 15 15 14 12 13 16 15 11 7 5 4 4 6 5 3 3 5 10 14 15 15 16 18 18 18 18 17 nan
nan 0 0 3 6 9 12 14 12 10 9 11 13 13 13 10 10 15 17 14 9 8 11 10 8 8 9 7 5 5 8 11 13 14 13 10 7 7 9 10 7 10 10 10 6 5 4 6 9 11 10 10 13 17 18 14 9 7 6 5 7 9 10 9 7 3 3 5 8 9 10 11 9 9 9 8 6 4 3 5 9 10 10 9 8 5 4 8 7 5 11 11 8 2 6 11 12 10 12 14 15 13 13 14 15 16 15 13 11 10 9 8 8 8 7 7 8 7 7 7 7 9 10 11 12 13 13 13 11 12 17 23 27 30 30 24 17 12 10 8 6 10 15 15 13 13 14 11 8 8 7 5 5 6 5 3 4 8 13 17 18 16 14 14 13 13 13 12 nan
nan 4 3 3 3 6 9 11 11 11 11 13 13 11 11 10 11 14 15 12 8 8 10 10 8 10 9 6 5 8 10 11 12 14 12 8 7 7 10 12 13 11 9 5 3 6 8 10 13 14 11 10 12 13 12 9 6 6 6 5 6 8 8 8 7 5 5 5 5 7 8 7 3 3 9 9 7 4 5 7 12 15 13 10 7 8 8 9 8 6 8 10 9 6 7 11 9 8 11 12 10 6 6 8 11 12 12 12 11 11 10 9 9 9 10 9 10 9 9 9 9 11 12 12 12 14 14 13 11 11 15 18 19 18 18 15 10 5 3 0 -1 3 8 9 10 13 13 9 8 8 8 7 6 6 5 5 6 10 15 19 20 18 13 10 8 8 7 7 nan
nan 6 6 6 7 9 8 8 8 8 12 12 11 11 12 11 11 12 13 11 7 8 8 6 5 9 9 6 8 11 11 10 13 17 15 10 9 8 9 13 16 12 8 2 4 9 13 15 17 17 13 10 9 7 6 6 6 7 6 6 6 6 7 7 7 9 10 9 7 7 6 6 5 2 3 4 2 2 4 8 13 15 12 11 9 14 14 10 8 5 2 6 7 6 6 7 4 8 12 12 10 6 4 5 6 7 8 9 10 11 11 10 10 10 13 13 12 11 10 10 11 11 12 11 9 10 10 10 11 13 17 17 13 7 7 8 5 3 2 2 2 3 4 4 6 10 12 9 8 9 9 7 5 6 7 9 11 13 16 18 17 12 7 6 5 5 5 7 nan
nan 10 10 14 15 13 11 9 4 8 14 11 10 10 11 11 12 12 12 11 8 6 4 2 4 10 12 9 9 10 10 12 17 20 18 13 10 8 8 11 12 10 9 6 9 14 18 20 20 19 14 8 4 2 3 4 5 7 8 8 7 6 7 8 10 11 14 15 13 9 8 9 11 10 5 2 -0 2 5 10 13 11 10 11 10 13 13 9 6 4 2 4 5 6 5 3 3 7 9 8 7 7 8 8 6 6 8 8 8 9 10 11 13 16 19 18 15 12 9 9 10 10 10 9 7 8 10 9 10 16 20 17 9 2 2 3 4 6 7 9 9 8 6 3 2 6 8 8 8 9 9 8 7 9 12 14 14 14 15 15 13 7 2 1 3 5 7 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
96 98 89 86 93 104 107 96 78 67 71 87 106 118 123 118 109 103 99 94 89 85 84 84 85 84 79 71 65 59 51 44 40 39 42 47 53 56 52 45 36 30 29 32 37 37 30 20 14 12 10 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
78 87 80 72 78 93 105 102 82 59 47 50 61 77 95 104 106 108 112 113 109 102 97 93 90 89 85 80 75 70 60 48 44 47 55 61 63 58 48 38 30 25 24 25 26 24 20 15 12 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
66 80 76 62 61 76 94 103 92 65 39 25 23 35 57 79 95 107 117 122 119 111 100 91 86 87 88 87 84 78 68 56 50 55 62 63 56 47 36 27 21 18 17 15 14 14 15 14 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
59 77 75 59 49 57 73 90 95 79 48 21 10 16 32 56 80 97 110 117 117 108 96 86 82 84 89 92 91 83 72 63 57 55 54 50 42 34 26 19 14 12 11 9 10 13 15 14 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
50 67 71 56 43 45 58 74 88 91 66 30 11 10 21 40 60 76 91 102 106 100 91 83 79 81 85 90 89 80 70 63 56 48 42 37 33 28 23 17 12 10 9 10 11 14 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
51 55 60 48 36 37 50 66 81 91 80 43 16 10 19 34 47 57 69 83 92 91 86 78 71 71 75 80 80 72 63 58 49 39 34 32 31 29 26 22 15 11 10 11 11 12 11 7 2 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
59 57 53 42 28 28 43 60 76 85 78 51 22 14 24 36 43 48 57 70 80 82 77 66 58 58 64 69 70 66 60 54 42 31 29 30 33 34 33 29 22 14 10 10 10 11 10 6 2 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
66 59 50 37 24 20 35 56 72 79 73 54 33 26 35 45 47 49 57 69 77 75 66 55 47 49 55 61 64 64 58 48 35 24 22 24 32 39 42 39 32 24 14 13 14 13 12 8 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
73 60 48 35 22 18 26 51 70 80 78 64 48 43 49 55 55 55 64 75 79 73 61 50 43 41 45 51 55 54 49 40 31 24 21 24 33 43 51 52 46 36 26 20 18 16 15 11 4 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
82 64 51 36 22 16 22 42 66 85 91 81 68 61 62 64 64 64 72 81 81 72 59 46 37 32 33 37 40 39 37 34 30 25 23 26 32 44 57 63 59 47 35 26 20 18 18 12 4 1 0 0 0 0 0 0 0 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
87 71 56 38 22 14 18 35 60 86 102 96 83 74 72 72 73 74 79 84 80 69 53 40 31 25 24 25 27 29 32 30 28 26 28 32 39 48 62 71 67 53 40 30 22 18 16 9 2 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
87 76 62 41 22 14 16 30 55 83 102 102 90 80 78 80 83 86 86 84 77 64 47 36 27 21 20 21 23 25 28 28 27 32 38 44 48 53 61 69 66 54 42 32 23 15 9 4 0 0 0 0 0 0 0 1 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
83 80 64 41 23 14 17 29 51 78 97 101 94 86 85 91 98 101 97 89 76 60 43 33 26 22 21 21 23 24 26 27 28 36 46 51 53 54 58 61 58 46 35 28 19 9 4 1 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
78 80 63 42 27 19 21 32 51 76 92 98 97 95 96 104 115 117 109 93 75 56 41 33 28 25 24 25 26 26 27 27 29 34 43 47 48 49 52 53 48 35 22 17 11 3 1 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
74 80 62 45 32 26 29 39 54 76 88 92 94 96 101 109 118 122 112 93 73 54 41 35 31 30 31 33 34 32 30 28 28 31 35 35 33 34 39 41 36 25 15 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
76 80 62 46 34 30 34 43 57 73 82 81 84 90 96 103 111 116 109 91 71 54 44 39 38 40 44 46 45 41 36 30 28 27 28 26 21 19 21 24 21 14 7 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
80 78 61 43 31 26 30 39 53 68 74 71 71 81 90 98 106 110 103 87 67 54 45 42 46 53 58 58 54 48 42 35 30 26 24 21 14 10 10 10 9 6 3 1 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
79 70 53 36 24 19 21 31 47 62 68 68 69 78 87 92 98 99 93 79 62 50 43 44 54 62 64 61 56 51 45 38 33 27 25 20 13 9 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
79 65 46 30 20 17 17 26 42 58 67 72 76 79 83 82 82 82 77 70 58 47 41 46 58 65 63 58 55 51 46 40 34 29 24 19 14 10 7 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
78 66 47 32 24 21 22 28 41 56 67 71 70 70 71 71 72 75 76 73 62 50 45 48 57 65 62 57 54 51 46 40 35 29 22 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
74 67 54 41 34 31 31 36 44 54 63 66 60 56 59 67 78 87 91 84 71 60 51 48 53 60 62 58 57 53 46 40 34 28 21 15 13 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
75 72 66 56 47 43 43 45 49 54 58 59 55 51 59 76 92 101 100 91 79 68 55 48 49 56 61 62 61 57 46 38 33 27 18 12 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
83 83 79 71 59 52 50 50 54 57 59 59 60 62 74 94 108 109 102 92 81 68 55 48 50 57 63 66 64 58 48 37 30 23 16 9 6 4 2 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
87 90 88 81 68 55 50 52 58 64 67 68 73 81 93 108 114 110 100 89 77 62 50 47 54 64 70 72 67 58 46 33 23 17 12 8 4 2 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
74 79 85 86 75 62 54 57 65 74 78 77 82 88 98 108 110 103 94 83 69 54 44 45 57 72 77 76 69 57 40 24 15 12 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
59 66 76 86 82 73 68 72 80 85 85 79 78 80 93 105 107 99 87 75 60 49 42 44 56 72 78 74 65 51 28 13 8 8 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 3 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
52 61 72 84 87 85 88 92 94 92 85 75 70 75 88 103 106 96 80 64 54 49 46 47 56 66 70 66 57 43 20 6 4 7 9 8 6 6 4 2 0 0 0 0 0 1 0 0 1 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
46 53 64 77 86 92 98 97 94 89 83 75 70 74 87 104 102 86 67 55 51 52 53 53 56 60 62 58 50 38 21 8 5 8 12 13 10 6 3 2 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 43 50 60 71 80 83 82 80 82 82 78 73 75 89 106 97 74 58 49 48 51 56 57 57 58 59 55 47 37 27 16 11 12 15 16 12 5 1 1 1 1 0 0 0 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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