Vorticity
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nan 7 6 4 6 14 22 27 22 16 17 20 15 10 7 7 8 9 8 6 5 6 6 7 5 4 7 12 12 8 6 6 10 12 11 8 7 10 14 9 7 12 11 10 9 4 4 9 11 12 10 5 8 12 12 13 10 7 15 21 17 10 7 11 14 13 12 7 11 13 7 4 5 6 6 6 5 7 12 14 13 15 13 10 10 14 12 9 10 11 12 8 5 4 6 11 18 24 31 36 38 35 30 27 24 22 18 14 14 20 24 26 27 26 25 26 28 27 27 25 22 19 15 11 9 9 9 7 9 12 8 0 -3 -1 4 8 10 11 12 16 25 23 12 2 0 2 5 6 7 7 4 3 3 5 8 11 13 13 12 10 9 9 11 13 15 16 16 16 nan
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nan 1 3 4 3 5 12 21 30 31 25 16 10 11 14 13 10 9 7 5 5 5 6 5 5 7 10 13 13 10 7 5 5 8 11 13 10 7 7 11 12 11 10 8 5 5 5 2 7 15 12 7 10 15 12 9 11 13 14 16 16 13 9 5 6 11 11 10 14 14 9 8 8 6 4 3 3 7 13 15 13 10 7 4 6 7 5 4 6 5 3 3 1 3 4 4 6 8 13 22 30 31 26 19 11 1 -9 -9 -4 3 8 9 9 11 14 16 17 22 29 33 36 36 33 30 23 16 14 9 9 19 21 16 9 3 5 10 9 9 9 9 5 -1 -4 -4 -4 -2 0 4 7 6 3 1 2 4 7 9 9 9 8 8 7 8 8 9 11 12 14 13 nan
nan -1 -1 1 2 4 8 13 19 21 17 12 10 13 16 15 12 10 7 6 6 6 8 7 5 6 9 13 16 13 9 5 2 3 9 12 12 7 9 11 11 11 13 9 3 -0 2 5 12 14 8 6 10 14 11 9 11 12 12 10 11 15 12 6 6 14 17 15 15 12 10 10 10 5 1 2 5 11 15 16 13 10 6 6 11 15 15 13 10 8 5 4 4 5 4 2 2 3 5 11 19 24 23 18 10 5 3 3 7 12 18 15 6 6 12 14 13 16 21 29 34 38 35 30 22 16 13 10 9 18 24 21 15 9 6 5 6 12 9 -3 -10 -7 -4 -3 -4 -4 -2 3 6 6 4 4 5 7 8 8 8 8 8 8 8 8 9 10 11 13 14 14 nan
nan 4 4 2 0 1 4 8 11 12 9 5 6 11 15 15 13 10 6 5 6 8 8 7 6 5 7 12 16 14 10 5 1 1 8 11 10 6 6 9 10 11 13 10 4 2 3 8 14 11 6 7 12 15 12 8 9 10 10 8 7 14 13 7 9 15 16 14 11 11 12 12 8 2 1 4 10 15 16 14 12 9 7 13 21 30 35 31 20 12 9 8 8 6 3 2 2 1 0 0 3 9 12 12 10 9 11 14 18 23 24 16 4 4 10 12 14 16 18 25 33 41 43 37 25 19 15 11 10 16 22 19 13 10 6 0 3 12 4 -14 -20 -8 -2 -1 -2 -3 -1 3 5 6 6 6 8 9 8 8 8 8 8 8 9 9 10 11 11 11 11 11 nan
nan 13 10 5 3 1 2 4 7 9 8 4 4 7 11 11 12 11 8 5 6 9 9 5 5 4 7 11 14 12 11 9 5 1 6 13 10 5 3 8 10 12 14 12 11 8 4 8 16 11 4 4 12 17 11 7 7 8 8 7 7 11 11 9 11 12 10 9 9 11 12 8 3 1 5 11 15 16 16 14 10 9 12 18 24 32 40 38 27 15 12 12 11 8 4 3 4 3 -1 -4 -6 -5 1 4 7 10 17 26 27 22 17 12 7 6 7 9 14 18 20 24 32 46 56 55 44 33 23 14 10 16 21 16 15 17 19 13 17 18 3 -16 -17 -7 -1 -0 -1 -1 0 2 4 5 7 9 10 9 9 8 7 8 8 9 9 10 11 12 12 12 10 8 nan
nan 13 7 8 11 12 5 -2 -4 2 7 6 5 6 8 8 9 11 8 5 8 14 14 8 3 4 8 10 12 12 13 13 6 3 5 14 12 4 2 7 10 13 12 12 12 10 3 10 17 10 2 3 15 18 9 6 6 9 9 8 8 9 11 14 15 10 7 8 11 12 11 6 2 4 12 18 18 18 19 15 8 8 16 23 23 25 32 31 25 17 14 15 14 11 8 6 6 5 2 -2 -6 -7 -3 1 5 11 22 30 26 15 10 10 11 8 4 6 11 16 19 21 28 43 55 58 52 39 22 12 14 26 30 22 20 22 34 46 49 33 8 -11 -12 -5 -1 0 0 0 1 2 4 6 8 10 11 10 9 8 8 8 8 9 10 10 11 12 13 12 10 9 nan
nan 9 6 9 13 20 17 4 -5 -1 7 6 4 5 6 8 9 10 9 9 12 18 17 9 3 7 9 9 10 12 15 15 9 4 3 10 13 8 3 5 10 14 14 10 7 4 3 10 13 7 4 8 19 16 7 8 7 7 8 10 9 9 14 19 16 8 6 9 14 13 9 6 6 11 17 19 19 21 19 10 2 9 22 26 20 19 25 25 20 16 14 14 14 14 13 10 9 8 3 -1 -3 -3 -2 0 4 11 19 23 17 7 5 8 11 8 5 7 8 10 13 18 24 31 35 34 33 24 12 14 28 44 46 31 19 17 34 53 51 29 5 -8 -8 -3 -0 1 1 1 1 1 3 6 9 11 12 10 9 8 9 9 10 10 11 11 12 12 12 12 10 9 nan
nan 8 6 9 11 17 32 31 12 5 7 6 3 3 5 9 12 12 11 11 13 18 16 7 4 8 7 7 11 13 15 17 14 7 3 7 9 10 7 6 8 13 20 12 3 2 3 6 7 5 7 11 14 11 11 14 9 4 5 10 10 10 15 17 9 5 8 11 14 13 9 9 13 17 18 15 19 23 16 3 -1 13 27 26 19 20 26 24 18 14 13 12 12 14 15 14 12 11 6 2 1 1 2 2 4 8 12 11 7 4 4 5 7 8 8 7 6 6 8 13 19 22 19 13 11 9 8 22 43 57 57 41 21 14 19 27 23 10 -2 -7 -5 -2 1 3 3 3 1 1 2 5 9 11 11 10 9 9 10 11 12 12 12 12 12 13 12 11 10 9 nan
nan 6 5 9 11 15 29 29 13 7 9 11 7 3 4 8 11 10 8 10 14 18 13 5 4 8 6 7 10 11 13 14 15 12 7 5 3 8 10 9 6 7 17 16 4 1 0 2 5 8 10 11 12 13 17 17 8 3 7 12 12 12 12 10 6 9 12 11 10 11 13 14 16 16 13 10 17 20 11 1 3 19 29 24 19 22 28 27 22 17 13 10 11 12 14 14 13 14 14 10 8 7 7 7 5 6 6 4 3 3 3 3 4 6 8 8 8 7 7 8 11 14 14 11 7 7 12 25 41 48 44 35 25 17 12 10 8 3 -2 -4 -3 -1 0 3 5 5 4 3 3 7 10 11 10 9 9 11 11 12 12 12 11 12 13 13 12 11 10 9 nan
nan 4 6 9 10 12 14 11 7 7 12 15 13 8 6 9 10 9 6 7 12 16 13 4 1 6 6 6 7 9 11 12 14 13 11 5 5 9 10 9 4 2 11 16 7 -1 -1 1 5 9 11 12 13 15 20 15 4 6 13 16 14 10 6 5 9 12 10 6 6 9 13 14 15 15 12 11 14 13 4 2 9 22 27 22 20 21 25 26 26 24 19 14 13 13 12 10 10 14 17 17 15 12 11 11 9 7 5 1 1 -1 -1 -0 3 4 6 9 10 9 7 6 6 8 10 10 8 8 14 23 29 27 21 19 22 19 11 5 1 -1 -4 -3 -2 -1 1 4 6 6 6 6 8 10 12 12 10 8 9 11 11 11 10 10 10 11 13 12 12 10 9 9 nan
nan 4 7 7 7 11 15 11 5 5 9 11 10 9 7 8 9 9 6 3 7 14 15 8 1 3 5 5 5 7 8 10 13 14 13 7 9 13 11 3 -1 3 10 13 8 2 -1 0 5 9 11 11 12 13 16 15 10 10 13 13 10 4 1 4 8 9 6 4 5 7 11 14 17 18 16 13 12 5 -3 0 12 22 24 22 20 19 19 21 27 31 26 22 18 15 12 10 10 13 16 18 18 16 16 15 14 10 6 2 -1 -2 -3 -1 1 3 5 8 11 11 9 6 5 6 7 7 6 6 10 18 21 18 13 13 18 17 9 0 -4 -7 -9 -8 -4 -1 2 7 9 7 8 9 12 13 14 13 10 9 9 10 10 10 9 9 10 10 11 10 10 10 9 8 nan
nan 4 4 3 2 5 11 12 6 3 5 8 7 6 5 6 7 8 6 3 2 9 16 12 4 2 6 5 3 4 6 8 12 14 14 10 10 13 10 2 -1 -1 8 13 7 2 0 3 7 9 10 11 11 12 14 16 12 7 7 8 6 2 3 8 8 4 3 6 9 9 12 17 19 17 14 12 9 2 -4 0 12 21 24 22 20 17 14 16 22 29 28 26 22 21 19 17 15 15 16 17 16 16 19 19 17 12 8 3 1 -0 -3 -2 -0 2 5 8 11 13 11 8 5 5 6 7 5 4 6 14 19 16 11 11 15 17 11 3 -4 -9 -12 -12 -8 -2 4 9 10 9 10 12 13 15 16 14 10 9 9 10 10 9 9 9 10 10 10 9 9 9 8 8 nan
nan 7 5 2 -0 -1 2 6 3 1 2 6 8 8 7 5 6 9 8 4 0 4 13 11 5 3 7 6 4 4 5 8 12 15 15 12 8 10 9 7 3 -3 5 11 3 1 3 6 9 11 11 11 10 11 12 11 9 7 7 7 7 8 10 11 7 3 4 9 13 14 16 19 18 14 10 10 8 6 5 3 10 20 23 20 17 17 13 12 16 25 27 21 21 26 27 24 21 18 17 19 19 19 20 19 15 10 6 2 0 -1 -3 -4 -2 2 5 7 10 13 13 10 7 6 7 7 6 5 7 11 16 14 8 8 13 18 15 9 2 -4 -9 -13 -10 -1 6 10 10 10 13 13 13 16 16 13 10 9 9 9 10 9 9 10 10 10 10 10 9 8 8 8 nan
nan 8 8 3 -0 1 2 1 -0 1 3 6 8 10 9 6 6 9 9 5 1 3 9 8 4 4 5 6 6 6 5 6 11 15 16 12 7 7 8 10 9 2 4 6 1 3 6 9 12 13 11 10 10 10 10 9 8 9 9 8 10 11 12 12 8 6 9 15 20 22 21 16 13 12 10 6 7 10 14 6 6 17 19 18 17 17 12 10 16 24 23 14 16 24 28 25 22 19 19 22 26 26 22 18 12 6 -1 -5 -6 -7 -8 -7 -5 -1 3 7 9 13 14 13 8 5 6 7 6 7 9 10 12 12 7 7 14 20 18 10 5 3 -3 -12 -8 3 8 11 11 12 13 12 12 14 14 11 9 8 9 9 9 8 9 9 10 11 10 9 9 8 8 8 nan
nan 8 8 11 11 8 6 2 2 3 5 6 5 7 10 8 8 8 9 6 2 4 8 7 4 6 6 3 4 8 6 6 11 18 16 9 4 4 5 10 12 7 6 4 4 7 9 12 16 15 10 9 9 9 10 9 8 8 8 8 10 11 11 12 12 13 19 26 30 31 24 16 14 13 9 4 8 16 19 12 9 12 13 16 17 12 11 14 16 18 18 14 16 22 24 20 17 17 19 22 26 29 26 19 10 1 -7 -12 -16 -17 -15 -12 -6 -2 1 4 8 11 14 14 9 5 4 7 7 7 10 11 10 10 8 9 14 19 18 8 0 1 0 -5 -3 6 9 11 12 12 11 11 11 12 11 9 8 8 9 8 8 7 8 8 9 10 10 9 8 8 8 8 nan
nan 10 14 21 21 14 11 5 1 5 10 7 4 6 10 11 11 11 9 6 3 4 9 10 7 9 10 4 2 7 8 8 13 20 18 8 2 -1 3 7 10 11 10 7 7 9 11 13 16 15 10 7 9 8 7 6 6 6 7 9 11 12 13 14 16 20 27 35 37 33 26 19 18 18 14 11 14 21 24 19 14 12 10 12 12 8 14 19 14 13 14 15 18 23 22 18 15 16 17 19 22 28 30 22 8 -3 -12 -18 -22 -22 -20 -16 -9 -2 1 3 7 10 12 13 11 8 3 3 5 7 11 11 8 9 10 10 9 12 12 2 -5 -2 3 3 4 9 11 11 11 12 10 10 10 11 11 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 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 nan nan nan nan nan nan nan nan nan nan 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
76 112 144 142 120 81 45 34 43 58 67 71 89 118 133 138 143 147 148 138 126 126 127 107 79 66 77 101 121 132 131 115 91 71 58 52 48 48 48 47 46 42 38 34 32 34 40 49 56 58 58 59 64 66 65 72 87 95 77 44 31 26 16 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
85 101 130 142 136 111 74 44 35 37 38 37 48 90 124 134 140 144 137 125 122 131 134 107 73 63 83 118 144 153 149 133 113 93 80 76 72 66 61 58 57 56 51 43 39 42 49 58 64 67 69 72 76 73 68 83 99 95 66 37 27 22 15 9 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
98 98 105 119 129 126 108 77 52 39 33 29 34 64 107 122 130 132 120 113 121 137 137 109 75 66 82 111 139 152 153 147 130 111 97 98 103 100 93 86 81 74 62 49 46 51 60 68 73 78 81 83 82 76 75 97 102 85 52 30 22 18 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
90 80 79 92 110 119 114 94 69 53 45 42 43 61 92 114 119 116 104 106 125 142 138 115 92 81 81 89 112 137 155 156 142 122 107 105 113 115 111 105 96 82 66 54 52 60 68 73 79 82 82 80 76 74 83 103 97 72 42 23 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 65 65 76 94 109 110 99 83 72 70 74 77 84 99 114 119 112 101 110 128 138 131 116 100 87 77 72 81 109 138 150 144 126 110 104 106 111 112 109 98 82 67 59 59 65 69 72 75 74 69 66 64 68 85 101 91 65 34 16 8 4 1 0 0 0 0 0 0 0 0 0 0 1 3 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
67 58 56 66 86 106 114 109 97 90 93 104 108 106 112 122 126 120 115 120 127 123 111 101 93 83 71 63 66 83 109 126 129 122 113 106 106 109 109 106 94 80 69 62 62 65 65 64 63 62 56 52 52 61 82 93 82 57 30 15 4 1 0 0 0 0 0 0 0 0 0 0 0 1 4 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
73 59 50 57 79 105 117 113 103 96 99 108 113 113 117 124 126 124 123 125 121 111 97 88 81 71 62 59 61 67 79 95 107 113 114 112 112 111 108 100 89 78 72 65 62 61 58 54 51 49 46 43 46 55 74 85 76 53 29 14 1 0 0 0 0 0 0 0 0 0 0 0 0 3 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
85 64 49 52 73 103 118 114 104 99 100 105 111 113 113 114 113 114 118 119 112 100 89 78 64 55 54 59 66 71 78 90 103 113 117 118 120 116 107 95 84 78 76 73 61 54 50 46 43 41 42 44 48 53 66 75 72 53 27 9 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
94 72 53 52 72 102 120 118 110 107 106 106 106 104 101 97 96 102 109 102 92 82 71 58 48 47 56 67 77 86 96 106 117 126 130 129 125 117 103 90 82 82 85 80 60 48 43 42 41 42 47 52 56 56 60 67 71 49 19 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
93 79 62 57 74 102 121 123 120 117 113 105 96 92 89 89 92 96 82 63 58 54 47 42 45 54 67 79 85 93 106 121 134 141 141 135 126 114 99 90 89 95 98 90 68 50 45 47 50 54 57 61 62 60 58 62 68 46 12 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
89 84 72 64 79 106 124 128 128 123 114 99 89 89 90 92 92 81 59 41 36 34 33 37 48 61 73 80 83 90 106 121 134 139 136 128 117 109 99 97 106 114 112 97 76 60 56 57 59 59 62 63 63 60 60 61 50 37 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
81 83 81 75 86 115 133 136 132 124 111 96 90 95 100 98 87 70 51 39 33 31 32 40 51 59 64 66 70 82 97 108 114 117 115 111 109 106 104 109 124 129 118 100 85 76 70 64 57 52 55 57 59 58 63 61 41 25 7 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
76 85 88 88 97 123 143 143 136 126 113 100 94 100 105 98 83 67 55 47 42 39 42 48 53 52 49 49 54 64 75 81 82 83 85 86 88 94 103 116 128 128 116 106 98 90 76 60 48 45 49 55 60 60 62 54 36 18 8 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 0 0
84 94 97 99 109 128 145 146 139 131 119 104 97 101 105 97 80 64 57 52 49 50 55 61 61 54 46 44 48 56 62 62 58 58 62 68 77 91 106 118 122 119 114 111 104 86 64 48 42 45 52 59 69 66 43 24 14 9 6 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
102 108 103 105 116 131 141 140 136 131 120 108 104 111 113 101 80 60 52 51 53 59 69 77 76 68 61 58 58 60 61 58 54 55 61 74 97 115 122 121 117 114 112 106 90 67 49 41 43 55 67 75 80 69 27 9 3 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 0 0 0
88 90 97 104 118 132 136 134 130 126 122 116 118 125 124 108 82 62 54 53 57 65 77 90 96 95 90 82 72 68 67 65 63 65 77 101 131 141 132 120 114 109 102 86 63 43 36 40 51 74 98 105 89 60 28 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
85 90 93 103 119 131 134 131 127 126 126 128 129 132 127 108 82 63 57 59 63 69 80 92 106 114 110 97 81 72 70 71 72 75 89 112 133 134 123 112 104 92 75 53 36 28 32 45 64 92 111 106 76 46 26 11 5 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
70 80 87 98 112 122 123 120 118 120 126 132 132 128 122 101 74 58 58 65 71 76 82 89 101 107 103 92 80 73 70 71 74 76 82 91 99 103 100 92 80 60 39 25 19 22 34 51 71 90 88 78 52 33 21 9 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
45 62 75 86 94 99 100 99 99 103 112 121 123 120 112 97 74 63 66 76 84 88 89 89 92 90 83 77 72 70 70 72 76 76 68 65 68 75 77 68 52 32 18 14 17 25 38 53 66 71 66 58 36 22 14 5 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
21 38 55 66 72 76 80 83 83 85 92 101 106 108 106 98 86 80 85 94 100 99 94 89 84 77 69 66 66 68 71 75 81 82 72 63 62 66 62 52 38 26 22 26 33 40 47 55 60 59 51 39 29 14 11 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
11 18 30 42 50 58 67 75 78 80 84 90 95 98 98 98 100 103 108 110 108 101 92 83 74 67 61 60 64 66 68 72 80 89 91 83 74 66 57 49 43 42 46 52 57 58 58 57 54 48 44 37 26 8 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 0 0 0
12 10 14 21 29 38 50 62 69 73 77 84 88 87 88 98 111 120 121 117 110 100 88 77 67 61 58 59 60 57 55 62 76 91 99 94 78 63 55 54 58 65 72 74 71 67 62 56 52 54 55 45 24 6 5 5 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 21 15 13 16 23 32 44 54 60 65 75 85 87 86 103 125 137 138 127 113 100 86 71 60 54 52 53 50 44 44 55 72 88 95 87 71 61 60 65 76 85 89 86 78 69 61 58 61 62 55 41 20 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 45 32 22 18 20 24 32 41 47 52 64 85 97 100 116 135 142 138 126 115 107 98 83 66 55 51 49 47 44 45 52 65 80 88 82 71 67 71 82 94 99 98 93 84 72 64 62 65 67 48 27 12 4 1 0 0 0 0 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
59 57 45 34 27 23 23 26 31 38 43 50 71 86 98 115 123 118 114 112 114 120 124 118 100 81 71 65 62 58 56 57 62 74 84 85 84 78 82 94 102 104 104 99 88 77 66 61 61 63 44 16 5 1 0 0 0 0 0 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
46 43 37 31 26 22 20 21 25 32 38 34 38 50 68 85 88 84 84 93 108 121 129 132 125 112 102 96 92 88 80 73 73 80 90 98 98 94 95 98 101 103 105 101 91 79 65 57 56 53 37 9 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
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