Vorticity
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nan 6 6 5 6 10 17 21 21 17 16 16 13 10 10 11 9 8 7 6 5 6 8 8 8 10 11 11 10 8 7 5 6 8 9 8 6 9 10 10 10 12 10 10 8 6 7 7 7 9 9 5 5 10 11 10 9 9 12 16 14 10 6 6 8 9 9 7 9 11 6 4 4 5 7 6 5 7 9 11 11 12 10 7 9 11 8 7 11 12 11 10 8 6 4 5 7 8 10 15 20 24 27 26 23 23 27 30 28 25 25 25 24 23 20 18 18 20 19 17 14 10 7 10 16 20 21 13 13 19 17 9 0 -3 2 8 8 7 6 6 11 15 23 32 41 44 42 35 28 20 12 5 1 -0 1 4 7 7 7 6 6 7 7 8 9 10 10 12 nan
nan 2 4 5 5 8 14 20 24 26 22 17 11 9 11 12 12 9 7 6 5 6 8 8 7 8 10 13 12 10 7 5 2 4 7 9 9 7 8 11 12 12 12 11 7 5 5 5 8 13 11 7 8 12 12 11 11 11 12 12 11 9 6 5 6 8 9 9 11 11 8 7 7 7 8 6 5 7 10 12 12 11 7 3 4 6 6 9 14 12 8 6 6 7 6 5 4 4 5 8 11 15 16 15 15 19 21 19 16 12 11 13 17 22 25 24 24 28 30 30 28 22 16 15 17 19 19 12 10 20 24 20 12 5 5 8 8 6 0 -4 0 10 25 37 40 33 25 20 15 8 2 -2 -1 1 2 4 6 6 6 6 6 6 7 8 10 11 11 12 nan
nan 0 2 3 3 5 9 14 19 22 19 12 9 10 12 14 12 9 7 7 7 8 9 9 7 7 8 11 15 16 14 7 -0 -1 3 7 9 6 9 10 11 11 14 12 6 3 3 6 13 15 10 8 10 13 14 13 13 13 13 11 9 7 7 4 6 11 13 13 13 11 9 9 10 8 6 5 6 9 12 13 11 8 3 0 1 5 9 14 17 15 11 9 9 9 7 4 3 4 5 6 5 5 5 5 6 10 10 6 3 2 2 4 7 12 17 20 23 24 27 34 38 37 33 26 20 15 13 11 9 18 25 22 15 9 6 3 5 6 2 -2 -3 6 19 24 19 9 6 9 8 4 -0 -2 -1 2 5 6 6 6 6 5 6 6 7 8 10 10 10 10 nan
nan 6 7 5 2 3 5 8 12 13 11 6 6 11 15 15 13 11 8 7 9 11 11 10 8 5 5 10 14 16 17 12 4 -1 3 6 7 5 4 9 10 11 13 11 8 4 4 8 16 15 9 8 13 16 15 12 12 12 12 10 7 10 8 5 7 12 13 12 12 11 11 10 8 5 3 5 9 11 12 11 8 5 1 1 5 10 16 19 18 15 13 12 12 11 7 4 2 2 2 2 0 -2 -2 -3 -4 -4 -3 -2 -1 1 1 2 -0 1 6 9 12 13 14 20 27 34 37 37 32 24 16 12 8 13 19 18 12 9 4 -3 -3 2 5 5 4 6 10 10 5 -2 -1 4 6 4 3 2 3 5 7 7 7 7 6 6 6 6 7 8 9 9 9 9 nan
nan 12 10 6 4 4 5 4 6 8 7 5 6 10 14 14 13 13 11 8 9 12 14 11 7 3 6 9 11 10 12 14 10 4 2 8 7 4 1 7 9 11 13 11 12 9 5 10 17 15 8 7 13 16 12 8 8 9 9 8 8 10 8 7 9 9 9 8 9 10 11 9 4 3 5 9 12 12 10 8 6 4 4 7 11 15 20 21 18 14 13 14 14 12 9 6 4 1 -1 -2 -2 -3 -2 -4 -6 -8 -7 -4 -2 -0 -1 -2 -3 1 3 4 5 6 7 10 16 22 32 39 43 39 26 15 7 8 11 11 12 14 13 4 -3 0 6 11 13 7 2 3 2 -0 -1 2 4 5 5 6 7 8 8 8 7 6 6 6 7 7 7 8 9 9 9 8 nan
nan 12 8 7 9 11 7 2 -0 2 5 5 5 8 11 11 12 14 13 7 8 14 17 12 5 4 7 9 9 8 11 15 11 5 1 9 11 3 1 6 9 12 10 10 12 11 5 11 18 12 5 6 13 14 8 7 7 8 8 7 6 6 8 11 12 9 7 7 9 10 10 6 3 3 9 13 13 12 11 10 8 8 10 14 16 18 20 20 17 13 13 14 13 12 11 12 11 8 5 3 3 3 3 1 -1 -1 -0 2 2 2 2 -0 2 6 6 6 7 9 8 10 14 19 26 35 44 41 31 22 17 16 16 13 13 15 18 16 9 8 12 16 15 9 1 1 1 2 2 3 4 6 6 8 9 10 9 8 7 7 6 7 7 8 9 9 10 10 10 9 nan
nan 9 7 8 10 13 13 9 1 -0 4 5 5 5 6 9 11 12 10 8 11 17 18 11 3 6 8 9 9 11 13 14 11 5 1 8 12 5 2 4 9 10 10 9 8 6 5 11 13 8 6 8 14 11 6 8 8 8 8 7 7 6 9 14 13 7 5 7 10 10 8 5 4 8 14 14 12 11 12 13 11 12 14 16 15 15 18 19 17 14 13 14 12 13 14 15 16 13 11 10 9 8 8 7 6 6 7 9 9 8 9 10 12 13 13 15 17 18 18 18 19 20 23 29 35 33 28 31 38 39 33 21 15 13 14 15 14 13 16 15 13 7 3 2 3 3 3 5 6 7 7 8 9 9 9 8 7 7 7 7 8 9 10 10 11 11 10 10 nan
nan 7 6 8 9 9 21 28 17 7 6 6 4 3 3 7 10 10 9 10 13 17 15 7 4 8 7 7 9 11 14 14 14 8 4 7 9 7 4 5 7 8 14 10 6 5 5 6 6 6 7 9 10 8 8 11 9 8 7 8 7 7 10 10 7 4 5 7 9 8 6 6 10 13 14 10 8 12 14 14 13 15 15 13 12 13 17 18 15 14 13 12 11 12 13 14 14 12 11 11 11 11 10 10 9 10 12 13 14 13 14 17 21 21 21 24 27 27 28 26 23 21 19 19 19 19 19 29 45 52 46 30 20 17 14 12 12 15 18 14 8 2 2 3 5 5 5 5 7 8 8 8 8 8 8 8 7 7 7 8 8 9 11 11 11 11 10 9 nan
nan 4 5 10 11 13 24 28 18 11 10 10 7 4 3 5 9 9 8 10 13 15 13 5 4 8 7 7 9 10 11 12 13 13 10 9 6 7 8 8 5 7 12 11 6 6 5 5 6 7 9 10 10 10 13 14 9 7 8 10 11 11 9 7 5 6 8 7 6 6 7 9 11 11 8 4 7 13 15 15 13 13 14 12 11 14 18 18 16 14 13 10 10 11 13 12 10 10 11 11 11 11 11 11 11 11 12 12 13 14 17 22 25 23 22 25 27 27 26 23 20 17 15 12 9 8 10 19 33 41 41 34 27 25 22 21 23 26 22 13 5 1 1 5 7 7 6 6 9 10 10 9 8 7 7 7 8 8 8 8 9 10 11 11 11 10 9 8 nan
nan 4 7 10 12 18 21 14 8 7 10 12 11 8 5 6 8 8 7 8 12 14 13 5 2 6 6 6 7 7 9 9 12 13 13 10 7 9 11 10 6 5 7 11 7 5 5 6 7 10 12 13 13 13 15 12 6 7 11 13 13 12 9 7 7 9 8 5 4 5 7 7 6 6 4 4 9 15 14 12 10 9 11 12 13 15 17 17 17 16 14 13 12 13 13 11 10 11 12 11 11 10 10 10 11 11 11 11 12 14 19 23 21 18 17 18 18 17 16 14 13 12 13 12 9 7 8 14 21 25 26 28 33 39 41 40 37 29 14 6 3 2 4 7 8 8 8 9 12 14 13 11 9 9 9 9 9 8 8 8 9 10 10 11 10 9 9 9 nan
nan 5 7 7 9 15 19 14 7 5 8 9 10 9 7 7 8 8 6 5 7 12 14 9 3 4 5 5 4 6 7 7 10 13 15 11 11 12 12 6 5 6 8 10 9 6 5 6 8 11 12 13 13 13 13 11 9 9 10 10 9 7 5 6 8 8 6 4 5 6 6 6 7 8 7 7 10 11 8 4 5 8 11 13 15 15 15 16 17 17 14 15 13 12 12 11 11 13 13 13 12 12 11 11 11 12 11 11 14 17 17 14 11 10 12 13 13 11 10 10 10 11 12 11 9 7 9 15 17 16 15 18 28 42 51 47 30 9 -4 -4 0 4 7 10 10 10 12 14 16 17 15 14 12 12 11 10 9 8 8 9 10 10 10 10 10 9 9 9 nan
nan 6 5 4 4 7 12 13 8 5 6 8 9 9 8 8 8 8 7 4 3 8 14 12 4 2 5 5 4 5 5 6 10 13 16 14 12 13 10 5 6 5 9 11 9 6 5 7 9 11 13 13 12 12 12 12 9 7 6 6 4 1 2 7 9 7 5 5 6 8 10 11 11 10 8 7 6 3 -0 0 4 8 12 15 16 15 14 16 17 15 12 13 11 10 12 15 15 16 16 16 14 13 12 12 12 12 12 14 18 19 12 4 2 6 9 11 11 10 8 8 8 10 11 10 8 6 8 14 18 14 10 11 19 35 48 40 15 -9 -14 -8 -2 4 9 13 12 13 16 17 17 17 16 15 13 12 11 10 9 8 8 9 9 10 10 10 9 9 9 9 nan
nan 7 8 4 1 -0 3 5 4 3 4 7 9 10 10 8 8 9 8 5 1 5 13 11 4 2 6 6 5 5 6 7 11 13 15 14 11 11 10 8 7 3 7 11 7 6 7 9 10 11 12 12 11 11 11 9 7 6 6 6 5 4 5 7 6 4 3 5 7 10 13 15 15 12 11 9 5 1 1 3 5 10 14 16 15 15 14 15 16 15 13 11 11 11 14 16 17 16 16 16 16 14 13 12 12 13 14 18 23 20 9 -1 -1 3 7 9 11 10 8 7 8 9 10 9 7 6 9 13 17 14 8 6 13 29 38 30 9 -9 -12 -9 -3 5 10 13 15 16 17 16 14 15 16 14 12 11 10 10 9 9 8 9 9 9 9 9 9 8 8 8 nan
nan 6 7 4 -0 -0 2 3 1 1 4 6 8 10 11 9 8 10 9 5 2 3 9 8 3 4 5 6 7 8 7 8 10 13 13 11 9 10 9 10 10 4 5 8 5 7 9 10 12 13 13 12 11 10 9 8 7 6 6 6 7 8 8 7 4 2 4 7 9 12 14 12 9 9 12 12 7 4 5 4 5 12 15 16 15 15 14 13 16 18 18 12 11 14 18 18 16 14 14 14 15 14 13 13 14 15 19 24 25 17 4 -5 -4 1 4 7 9 10 10 8 7 7 9 9 7 8 10 13 15 14 8 6 11 21 25 18 8 -0 -6 -9 -3 6 11 14 17 18 16 13 11 11 12 12 10 10 10 10 10 9 8 8 8 9 10 9 8 8 7 7 nan
nan 6 4 6 6 7 9 6 3 3 5 6 6 8 11 10 10 10 10 6 2 3 6 5 2 5 7 6 7 9 8 7 10 15 14 9 7 7 7 9 9 6 6 6 6 9 10 11 15 15 12 11 10 10 9 8 6 6 5 5 7 8 8 8 7 6 8 10 12 12 10 5 5 7 9 6 4 6 10 9 11 15 16 15 15 13 12 14 18 20 20 13 13 18 19 16 14 13 14 14 15 15 15 15 16 19 24 25 17 4 -8 -12 -8 -1 3 5 7 11 13 12 9 7 8 10 9 8 11 13 13 12 10 10 11 15 16 10 3 2 0 -4 -1 7 12 15 18 18 15 11 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 nan
nan 9 9 11 14 14 14 8 4 5 7 6 5 6 9 11 12 12 11 7 3 2 5 5 4 7 9 6 4 7 9 8 13 17 16 9 5 3 4 7 8 8 8 7 8 10 12 13 15 15 11 9 9 8 7 6 5 5 6 6 7 8 8 9 10 10 11 13 13 12 9 7 9 12 11 7 7 14 20 20 18 17 15 13 13 13 16 19 18 19 18 15 16 19 17 16 15 15 14 14 15 17 18 19 20 22 24 18 -2 -18 -23 -19 -11 -3 2 4 7 10 11 12 12 10 9 9 8 7 10 12 11 11 14 13 9 10 12 5 -1 1 2 1 3 9 13 15 18 19 15 10 7 6 7 7 6 6 7 8 9 10 10 10 10 10 10 10 9 9 9 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
81 75 63 60 63 71 79 81 78 80 86 90 92 99 108 110 107 103 104 107 115 120 122 129 138 137 125 112 106 98 80 61 54 50 51 54 57 60 67 80 96 112 115 112 103 95 89 84 79 70 57 43 32 24 20 20 22 29 30 21 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 84 76 69 70 74 81 86 86 85 86 84 80 83 91 94 96 98 101 106 115 122 123 127 137 138 127 115 105 94 80 69 63 56 52 53 58 64 68 73 83 98 108 106 100 101 103 98 89 76 61 44 31 22 20 21 24 31 29 20 12 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
70 85 81 74 74 76 79 82 84 86 88 88 81 75 74 78 87 96 103 110 118 124 127 132 140 140 126 111 100 88 79 75 70 62 54 53 57 64 70 74 79 86 90 90 91 104 111 104 93 81 64 45 29 20 20 21 21 27 25 16 11 7 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
44 66 73 72 72 72 71 72 74 78 85 90 87 76 68 69 80 94 105 112 118 123 129 135 139 137 123 108 100 92 83 76 71 67 65 64 62 65 70 72 75 82 89 95 101 114 121 113 99 82 62 40 24 17 20 21 16 22 22 12 7 5 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
25 37 54 64 65 62 59 58 60 64 73 86 91 82 70 67 74 86 95 104 111 118 124 130 133 129 117 106 104 103 94 80 73 76 82 84 80 73 72 69 72 88 103 113 118 118 114 111 99 76 49 27 15 14 19 20 15 19 19 8 5 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
28 31 42 50 54 51 45 44 46 50 58 76 90 86 74 68 72 78 83 93 104 115 123 127 126 121 110 100 99 104 98 84 78 82 91 97 96 91 85 76 75 95 113 126 122 104 89 87 77 54 28 13 8 12 19 20 20 22 16 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
43 40 42 45 47 44 37 35 38 42 49 65 82 84 74 70 74 79 83 90 101 114 123 120 118 114 103 88 81 82 84 82 80 80 85 92 101 105 100 90 87 101 112 119 108 84 68 61 48 29 14 7 7 13 18 24 32 31 18 8 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
55 52 50 50 51 48 40 35 38 41 47 57 68 74 71 72 79 85 88 93 101 111 115 110 109 106 95 75 62 60 68 76 79 77 78 87 101 112 112 106 104 108 106 96 75 56 45 36 25 16 11 10 13 16 20 33 48 39 19 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
55 56 55 55 55 54 50 44 44 47 51 55 58 61 65 74 84 93 98 99 102 105 105 102 101 100 88 68 56 56 66 75 79 78 80 89 104 117 120 118 116 114 102 73 44 28 21 17 14 12 13 14 17 19 29 46 60 42 18 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
48 46 46 50 54 56 56 53 51 55 57 55 50 50 59 74 87 97 102 100 99 98 98 98 97 94 84 69 61 65 75 82 85 84 88 98 112 122 127 122 111 78 40 21 16 12 10 10 10 11 12 15 18 25 39 53 62 41 15 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
38 29 28 34 44 53 56 56 56 59 61 54 46 45 54 68 81 91 94 94 94 93 95 99 101 96 85 73 68 75 87 92 92 92 98 107 114 120 126 115 93 44 10 3 4 6 8 10 9 8 9 14 20 30 45 56 49 34 10 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
30 15 11 17 31 45 50 51 53 57 59 55 49 49 52 57 69 81 87 89 92 93 97 103 105 99 88 78 75 83 95 100 100 101 106 109 107 107 114 107 82 48 20 7 4 6 9 10 9 7 7 13 23 35 50 56 44 23 7 3 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
21 9 6 11 22 39 43 42 44 49 57 62 62 58 49 46 57 76 85 90 95 98 102 108 107 100 89 82 83 90 98 100 103 106 105 98 90 93 103 102 79 49 27 14 10 10 12 12 10 7 7 14 30 43 49 49 38 20 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
10 7 9 14 23 34 40 35 34 40 56 74 78 64 45 37 48 74 90 97 101 102 101 101 100 97 91 84 80 81 86 93 101 103 96 87 82 82 88 85 66 45 30 20 15 15 15 13 10 8 10 21 37 47 36 23 16 12 8 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
10 11 14 17 23 31 36 32 29 35 53 76 81 63 43 35 43 64 88 98 102 99 92 85 84 86 86 78 69 65 72 85 95 96 90 82 75 67 66 53 32 16 12 12 13 17 19 17 14 13 18 29 39 41 20 12 7 8 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
15 14 14 18 20 27 32 31 28 31 42 56 62 54 44 38 38 48 66 83 94 96 89 77 71 70 72 70 64 62 67 80 91 92 86 79 72 60 54 36 19 11 9 9 12 19 24 23 21 24 32 39 39 31 16 15 10 5 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
16 13 13 16 19 25 30 27 22 20 21 23 25 29 31 31 28 28 40 64 87 98 94 81 66 57 56 60 62 61 64 74 89 91 85 79 74 65 53 37 25 19 16 16 21 28 32 30 27 27 33 40 35 26 20 12 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
18 13 12 14 18 22 23 18 12 8 4 3 3 8 16 22 23 19 26 50 77 92 93 77 56 46 46 51 56 58 60 67 84 91 88 82 76 68 55 43 33 29 29 33 38 41 39 33 25 18 24 34 28 23 19 10 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
23 16 13 13 15 16 14 11 7 5 4 4 7 15 25 30 32 27 28 42 65 81 84 71 53 44 43 48 53 57 59 64 76 92 99 95 86 73 61 52 45 43 46 50 52 48 40 28 17 14 22 33 29 20 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
28 20 14 12 12 14 16 18 20 20 20 22 30 42 49 50 50 47 43 45 55 68 77 73 59 47 44 48 56 63 66 68 72 83 97 104 98 82 68 59 54 53 57 60 55 44 32 21 14 14 20 26 33 18 10 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
30 24 18 12 12 16 26 35 40 43 45 46 53 55 57 61 68 71 66 59 56 62 72 75 67 56 52 56 66 75 78 76 74 76 85 94 92 82 70 61 56 55 56 53 44 32 22 17 16 17 22 29 32 17 8 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
30 27 23 15 13 20 34 46 51 53 55 56 56 56 59 68 86 101 101 94 87 83 86 88 82 72 68 72 80 86 84 78 73 72 76 81 83 80 70 63 57 51 45 38 30 24 20 22 30 37 42 39 30 17 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
30 29 26 20 17 25 41 51 54 56 60 67 71 71 72 77 91 106 112 109 106 104 100 95 84 75 73 77 82 82 77 71 67 66 68 71 75 76 73 67 58 46 36 28 26 31 38 44 52 54 47 34 23 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
32 32 31 25 22 28 43 51 53 55 58 63 68 68 67 66 70 76 84 89 92 93 90 85 75 69 67 67 67 65 64 62 57 57 57 57 63 71 75 73 65 54 42 36 43 57 69 72 70 67 49 26 15 8 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
32 34 32 26 22 25 32 38 41 42 41 38 39 40 40 39 42 46 43 45 54 63 68 68 62 57 54 50 47 48 51 54 52 51 49 49 56 62 72 82 83 76 67 66 73 87 95 91 83 79 54 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
30 32 30 23 17 16 19 22 23 23 22 20 18 17 17 18 22 25 24 24 27 34 40 46 46 41 36 33 34 40 47 52 54 54 50 50 54 70 88 98 97 90 86 89 98 108 111 101 89 73 42 12 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
29 30 28 21 12 10 11 12 10 7 7 7 7 5 4 4 6 10 16 22 22 19 18 18 18 18 20 22 27 33 40 49 58 61 62 65 76 96 106 106 96 86 86 94 105 113 116 104 88 62 31 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
31 32 30 23 13 6 6 5 2 1 0 0 0 0 0 0 0 1 5 10 10 7 3 2 2 4 8 14 21 27 34 47 60 71 80 91 102 106 107 97 82 74 77 85 91 96 103 93 78 48 22 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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